{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 22 - Nominal Predicted Variable" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- [22.3.3.1 - Softmax model](#22.3.3.1---Softmax-model)\n", "- [22.3.3.2 - Conditional logistic model](#22.3.3.2---Conditional-logistic-model)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# %load std_ipython_import.txt\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pymc3 as pm\n", "import theano.tensor as tt\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", category=FutureWarning)\n", "\n", "from scipy.special import expit\n", "from matplotlib import gridspec\n", "from IPython.display import Image\n", "\n", "%matplotlib inline\n", "plt.style.use('seaborn-white')\n", "\n", "color = '#87ceeb'\n", "\n", "f_dict = {'size':16}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pandas 0.23.4\n", "numpy 1.15.1\n", "pymc3 3.5\n", "theano 1.0.2\n", "matplotlib 2.2.3\n", "seaborn 0.9.0\n", "scipy 1.1.0\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -p pandas,numpy,pymc3,theano,matplotlib,seaborn,scipy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 22.3.3.1 - Softmax model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 475 entries, 0 to 474\n", "Data columns (total 3 columns):\n", "X1 475 non-null float64\n", "X2 475 non-null float64\n", "Y 475 non-null category\n", "dtypes: category(1), float64(2)\n", "memory usage: 8.2 KB\n" ] } ], "source": [ "# Using dtype 'category' for Y\n", "df1 = pd.read_csv('data/SoftmaxRegData1.csv', dtype={'Y':'category'})\n", "df1.info()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " X1 X2 Y\n", "0 -0.087147 -1.081342 2\n", "1 -0.722566 -1.583863 1\n", "2 0.179190 0.971790 3\n", "3 -1.159752 0.502624 3\n", "4 -0.727118 1.375704 3" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df1.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Standardize the data\n", "X = df1[['X1', 'X2']]\n", "meanx = X.mean().values\n", "scalex = X.std().values\n", "zX = ((X-meanx)/scalex).values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model (Kruschke, 2015)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('images/fig22_4.png')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "cluster2 x 3\n", "\n", "2 x 3\n", "\n", "\n", "cluster4\n", "\n", "4\n", "\n", "\n", "cluster2 x 4\n", "\n", "2 x 4\n", "\n", "\n", "cluster475 x 4\n", "\n", "475 x 4\n", "\n", "\n", "cluster475\n", "\n", "475\n", "\n", "\n", "\n", "zbeta0_\n", "\n", "zbeta0_ ~ Normal\n", "\n", "\n", "\n", "zbeta0\n", "\n", "zbeta0 ~ Deterministic\n", "\n", "\n", "\n", "zbeta0_->zbeta0\n", "\n", "\n", "\n", "\n", "\n", "zbeta_\n", "\n", "zbeta_ ~ Normal\n", "\n", "\n", "\n", "zbeta\n", "\n", "zbeta ~ Deterministic\n", "\n", "\n", "\n", "zbeta_->zbeta\n", "\n", "\n", "\n", "\n", "\n", "p\n", "\n", "p ~ Deterministic\n", "\n", "\n", "\n", "y\n", "\n", "y ~ Categorical\n", "\n", "\n", "\n", "p->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of categories\n", "n_cat = df1.Y.cat.categories.size\n", "# Number of dimensions for X\n", "zX_dim =zX.shape[1]\n", "\n", "with pm.Model() as model_softmax:\n", " # priors for categories 2-4, excluding reference category 1 which is set to zero below.\n", " zbeta0_ = pm.Normal('zbeta0_', mu=0, tau=1/20**2, shape=n_cat-1)\n", " zbeta_ = pm.Normal('zbeta_', mu=0, tau=1/20**2, shape=(zX_dim, n_cat-1))\n", " \n", " # add prior values zero (intercept, predictors) for reference category 1.\n", " zbeta0 = pm.Deterministic('zbeta0', tt.concatenate([[0], zbeta0_]))\n", " zbeta = pm.Deterministic('zbeta', tt.concatenate([tt.zeros((2, 1)), zbeta_], axis=1))\n", "\n", " mu = zbeta0 + pm.math.dot(zX, zbeta)\n", " \n", " # Theano softmax function\n", " p = pm.Deterministic('p', tt.nnet.softmax(mu))\n", " \n", " y = pm.Categorical('y', p=p, observed=df1.Y.cat.codes.values)\n", "\n", "pm.model_to_graphviz(model_softmax)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [zbeta_, zbeta0_]\n", "Sampling 4 chains: 100%|██████████| 22000/22000 [00:50<00:00, 433.43draws/s]\n" ] } ], "source": [ "with model_softmax:\n", " trace1 = pm.sample(5000, cores=4, nuts_kwargs={'target_accept': 0.95})" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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RPLRnIso91yu671oVSyVPfw2LScZCslGxVFEh70nGUDsTPN4LBjL2br+d+NBG73Ojn3DXkeV1RogXxKhE4guJaMXEhQKntSZV6pT5JCufyH6CEoJUKJr9/HrTxWBdCNo6+YVAtNqg9cDADffvZ+mRJweXJPspycQMeuUDa1VNi9L8swOzHUSzhVa5UqtFRlIYEAudVeNHZxKVrDd6tJT0771vo4J/Kk669LQdIfsZvccfJ3z8cQDqhQHtdDv0HzxAfHwKLSUnwoS7Wz6Lz8JAuL3Z4+uNLsfDmM8vtQl6Md96dJaol6AOtbD8FKE0qVR8df/Chv1XKtZppTZ4LjSQzflkU70N+93t1Zkv2svTG9XhnpDc3eqRKU0nE3yz65Nojf0MC27f+uQc+2Y7g2IPYeGRkq2NE43J8RO5nMnGSI/H/JCHusG60M92kHJsabV/xVJxJEvRWiM6Cb6QG418KakeeILw0UfRQiGEwo8zsuWQdHZ9X820JlFqXZWLbG7VqxVISTNOiQ8eJD5wmPvauTEXrMnVUmGECiPkioF+ivDXkz+p+wmtIOW2eoejpY0FzldCF2WQcqgfkSjF9P2PMPf1Ozkwl08UdKMMNCTHxuk//MiGY5xvzmuZds/zHqjVao/VarUHAAX8fK1W+2mg63ne54FfAf6iVqsNAQeBL51P+QwGw5kx/tgS9z76TcSQz0+8eoxrl/+eu//yn7ildy1Hsx2MVKtctvvNVBce4hMf+xQ/95s/zVC19MwHfh6oVBI81aPXPMrD3/9GXrdphB85w9Kto1uG+JVtW/iPQz3GH2nwz5OUcsUsRPkdzCjwllqtdhswAvw/nufddb5OrtUpZveVwjrFuj4TjYCZw4u4rkvkaN5S71AfP4h7+VWI7TsABkq37KVAhI6i1dJflsWDE02Ww5SR0TLNbhOUovPNO9j0htdQ2rkTpGS6FTKllukP5zPFm0qw8+HDiLFNfKt2ESrLBoqvaDYRU1Po3a/EsiA+2qb6yh1EBxq4Fw1T2j3CV+odrhiucO3oMN8uZuC/f7vDTJLyim57ncKn+n365SqjFZdM64EH4dqRYYYdC51mJCcmcLZfBo5N6aJhYDWMKK+olq8xJGNBttgnaXWIQxe7WgXAC2MO93OD7od3bKG0RqnW5OF+0YFjdB7Zz6HX3EgzTHn13i3oROThkFJRcuw8/C8RuFuGSMePo6KQQ75iz/ZRXvaWS+lFGV6muWemzruv3kX0yATlyUlG3xgwdM0166q5rfzaHT9Burg6k6+wCFMxkA1AxWLgLazeuBOtNctSIgYGuibRmhTNmGWjEkF8uIWf2uwrlXmz1iih0EJRdm201kT7psk2jaDCmIkwYE8mBgq20++DsMjmuiTj43Qu3gtAJCXDJ/XR42HMPj/iXTs2Ex9sIqsaZ7TE/sIzdqTRZ1FLxlsBWzRU6z56e5lumLGpm2BXHFTJRvb7qH4f7Fy+T877VKst/sWe7Ywv516uvbtHB22XLQVoDf1EUAUSIXMPl9bYQHzoEKVLLmG+MszOsssfPzXD5qqL6mVs2TKERtNRMj+W0vTXeG0+Pb7Emy7ezCUjeY7v1OQim0cUWJup+wlpqbSuD6/sGTZbVFwH0WyhovWewUApVCxIewkj26r4D0zyWNsnuGQbV+3K53ye9EMmZcZ2y2aPa9OPBSPlk94LxbMtOx2iAw2O+DEzYw5v0yUsC8p7x5jrRARKcVCkZPMt3t1Lkb6NM7b+3fONRg/RT/lu8ty3bHmZbHYOtr0M3Hxs95VmO3l0S/jEEzibalSueDlaCLRSeCsGZzvBSSRUV43bWGnqZZerM8FyL2bHWGVdyfclrfCCmHacUZmzqLhlfCCKBNNJn4uKidQYi04mGLYsvnZgkZsv28rerVXOJ+d9HSzP8/79SR89tea7ceBt51cig8HwXAg6CV+85TbS4QZv1/dy6ZMH+WV+ni8mr2Gn43MzB2nHVb7SuJaK/Sre4ozzqb/8Mu//lXef0zUy/Hsnsa0yf3jVKL4Fv33lnud0vp9+3eV87OuP8U9vvJlX/PEneftvvv8cSGt4kfAU8GHP875Yq9WuBr5Zq9Wu9DzvnJeEk/0A/667kSOXw2iVVGn8Bx8iWFhi6O3fT6VSolp2Bx6bfpyB1gileDKIEEnKZdkQbqsxMLAGaE1w/wMAuDtXvrOYilOOZQm66XOt0rliREZy+HBuYK3IpjSBUrSU4rrCY9XLYsJMEO8/QCg0zdfdTDI1TUmCbDVxt28fzGhroUhmOqjEJx2qcCSIuXZ0mHRuDnfrVu7Hor2wzNbZY5S1xo8zNg+XiZst7u712bNlmNnhNYaX1uvCkfrzffpacelFw/SE5Egz91yJomCCDahMoZUmOXycOIbqTTcBsLAmlDBVCtey171HZD+/9SpShPM+bKlw30wLl9zI/er+Bd514yXcsn+WG5wyN9y8B12EAmZSMdkMeRkgFRwdGcKRkrtbPqFIeQeQjB8nGT++/n4Vp7ey9d3ua/M+C8MBlmMN8n3WhmLOdyLamaBRDzh4UY/Lgcem2nhDXbZuKrPLcnhVJ2YYOKpKNF2bJSU5MV4nXi7z7hsvQSwvky0uIOV2WonL8rDD0ZZPO8hlsXRusFg26EwMCh3Yxc+1xegOFoarlLknLzm+QPnSMUrbtuVtSj6pEO3fz2Y5Rml2BqFTxJW7GWkmKJHw5N4Rmnc/SQWoXHUlnShj0k3Y1ApRW4aZ/vTnCa+/iWP1IU54i7iX7UJ2U5abPWY7EWFrM4/1Q2aSIYK65KY9VTreMcTcAo++6jXsKLskUrLcSTkUSOxWgDXsYAmNlpqHun3qhVGrYoFsRdyfSN69dzuW1Iw89Qhy+whc8wayKOPEXMAVRUXDoyWXCafEzUs95ue6XLdnE8MlF/+OO3EvfiWWM4Rot4naLdLqxaRtiXQFieexuR6QlC4DLsn7stZMN0OGs5hFS3Mki9izeZhbF+dwWw3eWvJheC+WslicSdl7MQStCMZG0atdinsnGhzMUpxUMdMKiQ7PoOL1BpYvJJq1OVYWYjHP8pFZCpVhukrymcTmRyoOlxZe9/iIh3vRNsLHHkMFIUde9ya01ig/xV6K4Yo8NzrWipVpzOVMcuxEk+v3bObKnaMDGVak+fqRJf43DeUsN+qWGnnYZnNsmO3AfrvM8ZbPPytVsIRi+nibva9dNbBEJwEL3M0VzhUv/PqVBoPhhYfWfO3PP0tvaIqrmePqN76DHxv7e76cvoZfe/vV3P/hn+Bj//nf86n3v4rbr7iFy/Qsd2RX8c3mHA9/49wVjtBa07prgno4wx2vvZ53XrSZ120eeU7Hcm2LX7rqEg5vcVnslUleQmWmDWeG53mHPc9bWULkKHnu8CXn8pxJmHLfrR5L44UC0/fphhl3Lna5/dg8h+d7PPDgEb5xaAkRxSQnJvIdLXDbTXSW4SYSaVs8NjJEv1VnRghinSetqzjhkTjmoCoh+/bA9fFUP2H+8AEqJ44i5vuFMWQhQ5tEKWKZhw+1XJe+ZXNQpCwoQSAkiWWxb2y1SudSJ+Cp2S4qcFCBA6comZ14Hv5dTxFlkiDKOLJvkWxhmeToUdpzPZITdTQWM62Q40t9gp5CFiFT852IycUOKk7w44ywHeU5H4WT5kGRcL9I6KUZX/IWeex4A0sq+ongi8sdvrDcoScVcmkJYVkcL63O/FtWXpyh3u7z1f0LfOmxWdK5PipJkCeFc5WDQtE+6dpWQhYPyFWDKBFqXXjUhqmfIuzvLmeI45Y7OG5vzZZr30SH5rtkOy9mqJdSbSccTBK6U7PIInRP9vuEt30VK8gV0KiTGzcPbNpMu3inLUjJZyYbRJkkzCRz7Yik56O05pE45ECjjfJ9UqEQaUaqclm6UcbxRpHvo/P1ltpBRj9es0ZYlJHVXdKmy/jhOrKXDL5bqXImO13Sybw4i1Yq95zFCTpJUQt5SKCVpTSL0M7l+Wl6U+McslfU8VweJ9M4x6cGz0JpaR6WFgiimOMzeQGM5PAhKtMnaC4HDHVTUA4KaIUph+Z7PDHdJuz5LD/4MKXlRYbHj7DY77EkBNbMPNue8LBmfJb8hGSqmxdt0asTBgf2LTJaz9u47uf9ZOuJJqWnxpHtNguOzVTJQQPzvfz7bE0+5MpESTo5ieiHoDVdpfj8codu4UUtdwOSiQnm7rqXhp8glKZvaVqFsbviqR06egjZ7WJJSaqG6HQ2FpVQcZJXYOz3KYUZI4ttgmYfFeZtfWihy2Qzv8dPDSqBWhwqu8U158fsdvMwvUAKhNJ0LJskk/RjgRaC/j33ooKQbweSR6dag1KD+1yJXXi09hUTB1Jp7iiXQMqBZxbAjkJUmpJM9fJ7VzBWXxi8v+Qar6LWmm8cWWLLXEi7HtCYXs05TCe7p81BPFucdw+WwWB4kaMkx/7iIxyORiiXNG/9wG/xrz43zXQ34P/7P97Am6+8KN/OGYLaD3Dl1e/g0098jg9+dpz7xVWM3n0P1958OZu2n313fTrtUxIV/uIyELbN//2Ki5/X8X7yil38j+PzfOo1V3HFn36eN//GT5wlSQ0vJmq12geAUc/z/rRWq+0GdpEXbTqraK25v9Pn8uEKYT1EAXMzPnliskUzSAnqPsOWyzvCEareIvWRKuMPzjHSUIxtyw2YYe8AzpZtlLZdno/y2sJ3XBaEYDlI+S6vxciRReZuvIYkrbArSdgaKWwNR2cCyn0LVUkJEkEbCykU3czma22F/vp+/q/LhzlSHYHSEFYmGTpxhPFwDzutXM4NqEL/KUIakxMnyGYfwdl9U554b8HBuS6lIMGpDqETG20rkvEJrFKJfXaJaXeIPdKl17YYiQSBUqRogoP76W4Z5viuK9A65L3lYQ7rEoeURezHbB8t89+fnGakHmOLjC2TbeQNea0tlUhEM0QlCQdKJXzbZpMUXAu0o4R0eoblRh9x3avZ2UpI7DLjX78PNebS2H4NQzKfy19Qkl1TPt29q+80t1lHBfnMvFSaVEoyKZlvR7AdkIJ0cpJGP4HNFdI4VwwXejFeNybYPcZhu8ReKRi3S0xYLpYGS2iexOXyTszmYZdlYNJ2cAq9st0NeOyehxkKR7joe97AznYHywLb98EZXbcKrJ0kwAhhKvG15NFOzMFCjiXvOA9f8woqM9McaU+zN4lZ7AqWywm7hyDKBJPL/cH1rRhN2lJ4+9uoig87h3hwtsM1iWDasfG7AWmYwd48aPBAP2LbGteWBtIZn6VuTHdxHqorUXUWVpZhF57P6eESdpKghoeJNUx1umwChvoSJ4tJJicHR9TY9KKMHVWNCjMSKZCZxJptUl6YxU4EeqjEYieiRp7PlXR9hoBys43Gwk5iRLWKs9hDpym3LLdRi4od/SYj0W7s4SFUGKPqHR6vbuUqYSGBI5bD0TTmBwvPZZoJHq+UsSywYhvn/rvp2jZagx9nSKURdpWmFGySmrRnwQ7NghSkJ06wYNlUgJEeRPsO4c22eGRoFyPAlK3YslImXWncTgIaZtshve2SuU0jvMIX3FC0zObZAC7ZQjo9hV0Bd3kZ1y7jdHsMBXV8SiwtBoRjkhllM7ncZnjNBMlkyaWyZqqg1KpTHi7Rkj62ttDAkQWfkp8wIkrYLri2zaOFXdTrxJTQKGB0LiB5We6lEpkc5DNWWwnWxH6iK8dAbacyPUGSNtCDUg055RNHqZSuQFua5v4D1J0hrt1ug9ZkaBSaw7bCX2zznr1jVM7T2mjGwDIYDM8epUg/96vcdvw6xNgC73rXe/j1ry1yohHw8fe/btW4WotlMfaaH+Pju4/yzj9/iDvUHj72sc/zod/6qbMeKjj55cOEdsJXX13jx3Zv5cpTrHl1JlRsm1+4ag//ZWqJ5X1VpJA4z7JYhuElxeeBf6jVau8FKsDPnu3wQNFqcfRbDzN3RY367i34DZ8dWcxoY5p4p0at7XaFXuOEESNPPEwjLdESZcpjY9jCoZxZZH4Pa7MYjPKWdNk008TptvnGphLvhtxbouH+4QrVrsXNiUU4tDoDHNcb3GelpEJzyYhL2Be4rUXiIN+mktg4zQgJdI4ssQvAgidm2pQLz0ZLSUgVow7MeJbAAAAgAElEQVRov4/IMmS3i70DkiPe4HosKahMTyB37kaLXEFrhymZiLH2lFhU0BobZiHRvLdc4aCfgoJhbQ0S4BuZREY9jtslFro+paTNyHKEs3UEqOLWlxhuBbR1F3nT5YimIMkUfpRRHc2VrqdkyjU6NxhWKiLWezGdTLBnrkvWT2jHMTNWjO1LHteSKZmQSHDFMFhgKcnwkf34yTxy27VMNUP+x74Z/uUaT0V5cZ7Dd7UYBBLVfbpjZeh2+fboEGU/YctImTucIZaWemSlMnY1YbTlQ5gQZ5JYSPbvHqXUU6hhhaUUpVbulTo8OoTl+9zsx2wKyowKBVs0E92AeTUEBLitOuzdhgacRPGYK1npZvNKU5kcR9qSpipxLIw5OLYSqmWx2I1hp8ZJFVOLPcotwXVFXyvVWzTijGQqYWLJZ8l2qApFGqXss6FSZGWdiBKOiFyZVolFOr8IDNOaWyIQAobsQXeP4wSRCFiRUEO/CfdYZRLH59VrioHMtcqMBSOktqI8krdHr9Ulk4rFrEckJduPHodyCUfZaAH9SPDE6BgVt0QViIQchJ8l5EU8LAsmq2W0FNhSIjJJ2mpT2r4duZwXd4niNm7sIoGZytDax5WZbso2YTE2XEJmmsVUcry6mVLXxY5b4CiWdm6llMbs7sYsaoudYQRuGSXXF/AQLZee5TI8fgSnsgs5MooErCSGg5MsqiGuEi71TopQCktD6NqoIgcvloqeUpSDABW4jFo2VhEOaAF3BoIdqsKEa+FXba7XsNgKKZUdrFYefnrUdbELv62lMg50xhnNqqi4lOcpKoWwLQ7MdXFtixt2bR3koU3WA66q5O3bsDQWUAoFi95q9T/HT0gnG6RDPeytw8xXXPZKTbawiG0NDUIcU6lwkh6WlNRLFpvHNJlcbfgHdQgB6C3DfGq6wdVZzCsTC7ty7sIDwRhYBoPhTLj/j3jw24r2SJ09u/dy64zLt080+cOfeDVvueoUxtUaRvZczT/+/DBv/7PH+KegzNu+ei83/9A/P2uiqVRSmY742MU9lHMR/+6y3c+807PgX1+2kz8cn+OT1+3i8r+9hxv/z+85K8c1vHjwPK/NOV6XMXjg2zyajYI3jbt5FB0L7OUFrExwZCbm6K4UxvJw1+GsBOSKUjktUcrK3LtthN2uyy5RZUsm6VfCPETqZbkXdzgtYQdFxbDChlpbcK2RZny25yBKyUAxyLo9EhWRbtpMy4+xXAewCFKJrayBs8pRDn3H5aEt+Z6V5QBHOAhXEmvF0U7GSMkmi5co7dzJeMnh5VowoyX1oRKvjzOq03mlMhXkoUk6tQahU3G6api0Sw7pgYM4F9coBxlDaZmlXsxw7yD27ivytby25aFjTq9DQ0M59WHrywfHGJta5Hgq2LRjO0upg51JMgH1fkZSD3iyG4BlkRWlw0uhwAl8BENobdGxRogXl1DA/iEHt7FEAxgZg/LwGO7yEqWshFZ6sJhqFGfMd0JKwCFXoYdtbmxZ5P9pnOUlph3Nig8s7dnUVczO0SFiOYQjbNJ+Srm5ppR1nhCDE4W4vTzcyXFdWq5L23HQEzN4VpnL2xkMKcqLc4hNQwhcnMJiX2w36Lf6bK5uA9fBkQ7aAquIsyyLEklsMSEllPJOo7SinJWwm3koXDkQuGEKm5yBWP7AM6XRFmS2leegjZTRWvPkTIddFZex6ZniftvMPj7N2FCJ4SCCikua2Cyled7PTKiRS13YtXMgVydOCW2balCGyIFybmS1HDv3QPkRYT9Fu2V6UjN+z8ODpgsSCeUS6Pzc9Z5gq2sTOA5VoButMebQedup/O7YYYiuVMCCuh9j9Reoh4K9IzYRKeX5ecIiMt2KY8oLs+itVZCSKJNkSuM44Fg2rnSYF4pWdTtJOWF7IhianuKBTSUqRZiq3rkL5TtYSALHou3A1RrGK9uABDsOEUEPix0MtaZxVYW2FkzbVWqBg5VKdOaidEo2NQXuNh53JW0Rc9FF27ih0UKXKmhrdXKlWSqxvMWmj01JCLqtiPkTbSzgUrnMysSAVnmf2OZPE4cuVvGcaaAT9ji6pcrLs4S9gYv0HSxXFt7UYUAzGkziyjFGJmPKpRJiTYGOR4MmVw25HHGGmRAZQyMVpjJFuR9gkw4MrLF+FauUy+5oe+WxyJ+/+XncTv5OkRdv5fhMh+zAOFcNOYN8y3OFycEyGAzPjpmH6d7+1zxovxJtC0avexOfeGCSD7z5cn70NXuf1SEuueRSPvKOPbR0lY/cO03aPHuLhs49ukin4vL5617Gj+3eyuXVszM7NeI4vP/SHdy7w6UzlaCfxzpEBsPp0IVuEySC5SePIpeXmSu7iARa1hiJUNgiw0pTtLbpOzaxbeGIMu0idyhTCrFSDFDZWHrVQ1xWGkucVGmuu5qD4PeK0uXFLkNJZe2fWGpVXTi6HFHOylhpiqU0pcxFrHFGV+bncaWLLSPwO8SZpJsIGrbNQrPB0XKJu5Iqhysl6pbNdDvCDXNlPSsS4/vBau6F35XYKg+l0hpavstQN6XU6aK1JhFgKxs5NceDlo0SFrZyBhc6lJZxonBw7a50CMIUf7GOs5zn+Mz5cmBwPrDvKIsPP8XxrlWkimicXpdkbpIFZ4wlt0KUSZJsfU5LMLPEUjfC0opKWuao5ZIU+SVbD54YbNe2oO/YWFgIqWjpBBsohevzPHXfRfYdVFxGChs7WS2r/61tI3xr2whDaQVr7fpGStFz3OKeKfpxfl8df32ZcqvIo/KXlol6LeLuqufA0vl9LwkXW9mktkV7TelskWnsNf2hnPVwxUouloW2QAVFRTytsXRe6dAK8m1SoXB7Kd0Zf1ByP07z9u9FGX03P/YBDfdUK6uGfNDn4fokkN/v1MrPBTDZVoMJhImSS6N4JpQGmTnE2MzaEJ+ixHqcSSqhxpEOdpoRHZ+lF63eW0tKwsTmqK+IpMbp522ZCIWVpsRhRJhJFkOJHUd8a9sID49tYSipUG7l7ToZak50LUTmkAq9mrCnLfqujaXza+rHgnYWEarVXLVscQmlNIcdm0c3VzkuIo65zsDAzpKQMPXJjh/IJz6KfrxYyT1poycaSGGTZu66JQ6yuXkWopDjJZdup44T5NflyFVDGSBLSgSHZwafaa0JRIpGowKHpGdRUttw1RasVOI6FirRRO1i4edsBEfZLGgopYJtx8YZavURi4tYQYQ7fZjRo/nzYYWra4zZScyJ4TJJJrGCBSpJk9S26Mer77HxapnpodKgr5WlJslyozzatw/E6rPRLnLMANqZfF7r6T0bjIFlMBiemSyCz36Qu5MPElYX2Hvlq/jvd83y6r2b+Q/vvOaMDvWj3/N63rw15gm28Nd/+o8b1rR5rszfcZS/u1QjXOesea9W+OAVe3C05gtXbuPErfvP6rENBoAssggTQZAIgkafVrNLs5jNVYCVJLj1JbYcmQbgsc3DPLSlypObhgdGUDvICFybzIJyBLZMSVJJnMl1BpClLU7EKf2FPNRHq1wJLr7dIJvbXV2/RwOPbB7DkSGWFtj+qpEmtcqriRUMR0tsXcjlFVLz8HCZh4fKxKlkrpPS8BM6ccYDo0O5wp5ZLCV9ApEShKvvBZnl1cKyzCFLXe5wS9hxhOP3aGcw27cQSW4AHBGK5XZCOVsfoOP0OgP5Vy61nwiEELTTNbkky4u0J2c53shwpEMjsBmeHaeU9UCDeLqwZg2i36ebaSaGyxxRLu3FxuDr2LaJbIvS0jxWmuJIh56KEFpiOay5B6ukhRdPSRu31aCSNCml65PzLS3oJJJQaORJ79NWyaHr2vQKj1ImFcttBXEZqRXxytpiK6W8pU0cOxt6QbO0ukxFpzAEreJctsrveS/T2Nri4OgQw2GIkBpLKWLLRhaKv1aK7MQSbrxqwGRSDTx9AIFjrxWJla5gaUUlaWCp/PydkjPY1hvNJwSE0mgNB8eGaJYc2k6ufCttcWykwsOjY6S2hVrT2ANPpXAZSsuIyKaSlQFNOW1TigJE4pBkkoHdpUEU+2kgySS9NevPOTKXy8kgtS0yBW7mEqqMZhYSqhRX5LLJok+VsxKWtkjlmpMA9W5Io5/gx6uTDkfL+b5DaYVA5WGWOlKUs8J7K0PQioe2VjmhVg3zMOgTRQFurzuoanm85LJQcSklK+28eversoQFRK3OYIImlBk9EVMPIlpBSioUeZCfDUFIKhTHWrlRDUVoIvA1BcNRiCsT3FaDxA8hTEgtmyxrMhLOYrWbeen8YgJAa2gtKzZNLAMarTXNRKOUol1ymBsqMVEtg9a4oo8iph8q+j1J2rUI1rSZH2c43Q6dksOttsPX2+d2bU5jYBkMhmfmvj9mfrnKYcbQlsXXejvIpOJPfvImSs6Zv0b+7Od+kCoZH0/2svz1//W8xQv9FDex+OxlVd6zbfSsea9W2F0p8Y6RMl/c4xA8WkdnG6sxGV5Y1Gq1vbVa7a9qtdqni79/slarXXah5Tod98d5dbu1WIUCZJErl5Cvv7OWvm0jRf4MSpUr9g9sHeFAVVMSPZqNXBmfrK4qyM0g5lY7YzmKcqV37TmzDEfGlLIV5WONqq0UWeKSZQ6uCCmnnXVelSBtEadrvdIWVhGK5haHafoJvaIEutKaTKiBV0GhCWJBI1izADK50q8Bu5hZD1Kx6kWQYGsb8WweSa0YDmZArRqBizHUE01cFFCwpGAorZCFYCuLOHZQaYCt0vw+nOKwlha5QgtMdxKWYs3McIlOQ2Enq2sbPbSpzD2bV9cB3D82xGR1iH4Gx7oCS25cgDkRJ09AaWy93tNVTju0gj5zhSVyshH45KZhlstgqZQ4laRCoZRFT61ZdynNKC/M0o0tToSC+knHWMlHWttZSkvzOIVXCmA2ksRC0yk5LLY6zM41cNpNROowEuaGTDY9g5ivY2cpjt8lTAXtIM8TEkrTL1ywQqtBBblFyynauQgDk+urONb9BCFyD6eUil6UkSYuR4aHaFU25sz2XXedEXHydUE+qWHLDEtLxpZbgyWsVow+t1XnZE5lezt9n31jqyuBJaSgLSItUKoMwkEU/Xtw7jW3vB2kzJ9ijD2V96VZGF2WFrgipCR8sjVCCQs+KWBffxm730UDy72YelE23xUBlaSx7pgWUJX5ZEWpvphPaoT589OPJEIqglSg1lx7ljkspQ6dwou4XHaZGS6RpS6RWK3q2yuqWE6NjPDYliqWFmRCkWUuInM23OcERSdTNFNNx485uKZiqVW0oK1iXGnT7ytaQXqK52eVo73+ab87GxgDy2AwPD3tKfR9f8Jd8heJhxfp7LqJR6d7/OcfuZ6XX/TcSqBvG6vys6/fRZNhfvsuDY3x5yXit79xnE9eUSVzLH716pc9r2Odjl+6/grCksNtl47S+tbUOTmH4azyN+TFKVYWbloGPnHBpHkGJtzTL8C9orsc9RUTgaYZSWSUK59Z5pKlTr6AauCgYrVOSTp5zSTIDRmATCsSIfNKdgVOt40r+thqvXKj9GrokC3yn/XUpp4UM8paY7PeQBBiO1avj9YWcQa9NCFWG42Ik1mrO0qRG5AysxlowZp1YXGOtAehkWtJlc69U1rRlgGB7LM8VMIWPSYCRTvVg8IBig069oCV9p8eLrNY2Zi6bqddAuGjtSpC4hRoRSYVVpZRWs7zy/oqJlLpIPSrVXJYHK7QSGzCLA9DXLn+QXiW3CiV1pCmLlqDEKsl9h3RxxV9Gu7G4j7ltEM56xGfxhLVRcxamCU4MqF1mtaoBzHRGpmcXgf6IQpNojOOhhldGdNIA9xOC6vwxiwNuSSpYNmPSTKJ21jG6fv0Y4GfaSKhmY0085EmUoKJMB70lcZJRpKt80mAFaTM67XYkY8jE+Isly/WDqeKApsYHRl4jfI2dAbl8dfSy+BwUCKTq14dW8WcvqesUsrCwtNmETkbLS8pNAsVFyFshLCR2eo1anLvj5D2wLuWy6pJlSbVYlACfi3d0mqo3LqfBWERellKu1TSFrN+QKTT1f4jVwzuU1+f0pqg3SXJ1OopitNkK5X5lEYpC62sgXcRYHK4fIrDbmyXxVjTyQSpDnGFP5i4AOij6BfvpUzlhnYpWx/66uh8Iik66XaGKoX5SQA6MiLWGW5j6ZTXebYwBpbBYHh67vpvjEffxYz28RnitlmH779uFz9+87PLuzodP//u7+KyUsgd9m4e/Nu/2DAYnAnN/Qt8+lKXHwraXHGWvVcrvHqsyvVZyqf2QufOKVRqvFgvcBzP826jyHbwPO9OXsBj3oYZ9YL7t47QLK9X6sMww5JZ/shomBgrk6VF3o1MEbKEPs3xTqZbhHvls//rZ9JDnSJ1ns+QZaueshUamUM71TRTTf0kfa+baSYil0DaJEKTkDHnh/TXhCutRWqF3LCSVB4aB4DIcLM+oFBq421sJBqlNKmWpImLlDbToaaeaCppiyiOmA4tDm/azH3bt5Gp3HO1QpLYnGqpO3uNQdgqOTgyzhVKLQkKT5iPRKBBJXnoogioJLmJIrUiFatGbp58n4JeVVItvXZRY0mc2oPrlmvKmPfjhInIRSo3z71JXZS0SVWlOLbGlgmV1GHtyr5KW6QqNxb6a8IhYwntdJBlV/x/pSrcSffCgkgJWpFgpm8hC/naiQC1uvSsRiO1JNMb76Ud5x7Tkz21C7FmKlRkxS7NVNEXFq00L6ix6rQtvIxaEsYBUlgIkbeVrSWtzCEVyaoif4qYS00eknekCClUqjBQ10QlrNyXTiFmolaMK4EjIlwRFO1aeNuUItFicF5LS9xUQBzhysITs2Z80xpOckSjlJVPlKz8LWyktJFaIYq2bCYw3pd0RELExomTXpEnp7SF0hZ2sV85bUPWpU5IWxZGFRCphLgIt0RETEcuM1GJ5Vie0sRaTnIDqJfl4XagGe/Bsa49eN8oDe04Xl0H7TRIrUlOnjwQkl6mmU4SYlYWsN7owQWwkNhZH6tYY06u5PkVW9UTzWyoCIuZl0Rnq6GUKCKVIp1zm0/9gh1sDAbDC4DGOGrfZ7k/+5dEw0s8UbmB4bLLR959w/MusW7bNr/34zchsfgv9ZtRB77wnI5zdKbDUxdXSVybX7nm5c9LpmfiV151JQujQ9x/0RDBI4vn9FyG501aq9W+F3BqtdquWq32M0D0TDtdKK6OTi2asKDr5orW6ZKyw5NmyDNVJpFDxMoikZK5QCFTAVoNwqw2nEc4uQG15hSpiAb5NUCx6HCulMgi9M+RMY6MURqyNXFC/UI5TbWFXtU8gWKGXtr0VUJXRUit6KmIbpahCu+NUhahSumSh/HYRVW7gcJV/Fz7GjrclwQqJkUghT1QYrWGemITFdfnqCT3BmhBqjJslRIQ4a8x/pLiNLaMBuewRIQr+jgyJtWCPCckP0EmS7hZMNg/EiPIzKGnYkIVobQq2tghEx06cZcsdbFljK0Els7oC01dJPQJ0SttqXNFPpKapVgSr+SmsHqrpHLz8EoUAZpS0sLv9/B6CiEsROrQkw59JM3CkLB0xmJk0U0teplFumYtqxVKaWfVG6rBFxGxTrG0NTC220Gwbh9LFcq5hlhnA+NgLX2hWYpXvEzZ6hparPaPFToqopdG9GUy8Db2pcVc4rIcWShpowrlfjm1mYxWvVaJDEhUyFpkcQ+0pjA0BiYNlaSBI+NBblUgC5l0loeHFgq6pSWRUExEEaHK6OsUoWVeAEMmlNM2iRhGqhKlzMcVPq5YlaOTwVRgoZQAnZIicGSELWKyzCZTeY1xq3gufBXlBUASG6Ws3JhYaTOtB4bpwOuZlUhElUElDa1oq9UiLvEp/LVREuELl3ZWoR1bGyZTgEGeXLvvDs6XSQuh9CDfqi1sOpmmk2mEVnRFss6Y7EtYSh2O9zXjgSDWa3pyL8TSCkuL3AP1NDZaKfNJRJVEVnPvvRT4yl63UyhhNjr9QbR7bidJjYFlMBhOz71/gJd8H4tWHU/t4kQPfvuHr2Pnpue3vtQKb3zVlbxpS8phexOfvuV+SMNn3ukk7r9jgs9cVuYtJya4/upXnBW5Tsc7d21lexxxy8UZ7dtPoJ8mvttwwfkg8FPARcDXgBuBf3NBJXoaKqeYr1jxKgH0VERMllfNWzejf+o+mGmYiFwO9VMWk5ilJKSUdFBhPFBBEgGt9NQKSF9a+EmKFiuzvuSKYmFExGIIqUp5GJQShFIzE5XoZbm8YaHIn8om1DIPi0qkQmlFTyVkChYjm1ZiITKbXmwz7icsBCla5zPbUoMjIrTOvVLltE22JlRQo5DSRp3UJnm9s3yWPVSlfEuV5F6oNAYZr/P4nIoURUfHCDR6jXdnKREo7aKwSeT6UDalLPqZRqUhTuH1sLRAsGrMCOkidb4o6nyoWA7Xe7QAToSKuVgN7pvWFgkpPfqDKw2Ke5QgSOQwJ1KHUCekSmHrLC8yAQPPgCPiQZhdK7GYDBVdFSJ0fp6QbJ0cGlCpGFRly9Rq3lr+vYWSFo5KcESEVLmXwFcRPnkI4UpfWIw13UwjlSZSKZHKSKQkE701YWogpYX+/9l782jLrru+87P3Pufc4U01z4NUknxlyZPsBmMGGxtjhgbM1GEtWGQZErKawAoLmnQ3CemmaUI6pBOaqYGQBpKskCbMCMKQxBjLo2zLg8arWVWlmt947z3T3vu3+4997vSqJBlKpVJ3v+9at+q9e8+wz3Tf77e/39/3JzrWzDlHjSCEiRzUztxb228z43OsjEjCCBC6Rs3dixUWW2/i3NjtUJCgGpY0JhOlz9kKMZnTUqNCbG6NeJ4rhC0Lz24OuJRPA/Xczl+7qdQ2XqnKQ+4bRqwaUPshBQVeapQ4RlJhnaB9OWHKZqFcNXVsBNZqOF8krFWKTBse2/I8OazY9MKWV1yuSlarDhdqzebM0KprZC9hzP9Yi0NwvHgCYr1M7PzXqi4E8ARK5RDid1btPLaephrna8Wa1c0Eh+fB3EwSxGEVj5sgXJpJjMb7mMWmGxuhKJqvqEb6HAhBzTH4wdlr5mrr9Y2db9tJsHawgx1cGxun8Z/9XT5SfxuX2xs84I/z5b39fPObj76su/kn73sHLSw/a9+K/ehfzfDCeuEz+YjNTPO36tWXXuE6YZTiO48f4pOHljltFKNP3VgN9w6uCynw48BXA98I/GTz3qsTSYILUWqkfYWqLuHqOJNcV0kMcEMgDzUFQqUc7WqV1E6DrcxrxlIvPyujCwGPULmMgdOIBCQozuWaC3mgFMe6FS7X0Ya6n6ecKRPWa8PpIiOxI4LbZLZm4qlSxUQBcD6jrh1OUnKfol01SSjWrzETPk4Kxk5h3mlWCwUEaoEax7lSwFt8CLg652IdgzOLhxAoEUbOU1YWEYVuCuKvJY18vGrGEDxbOIpJxRHQMD8oWK9hYybhHAfbIUwDUhcCa43ESoLiUjmdga9FReOO5tw7CVypFM8XaTSwCB4ldi7QDwISDFpcDJy9xTuHnZHdjTF7ZDXjaDlQCjgxSGiYhaAn4xuEmEQ5wEpKaBL2SkBmQsBCouRLEGoVJX4XreJ8Zah8TAhDc34DgecK4XQ+HaGXBJCGyZhNVgP4ES7krJYKH8K8PE48OMvIOmoxKHEEiRJEET11kyOySet4Lnk9SQasBLZcY7mtZJK4qqamKqCoZERJOSOrC4gTvB+f0Sb5cd2J3FIpQYJGwnRfpaRsiWYTofIFShwugPjI2jlkYrZwLWhxXCibe95r4pkMzQjm/5+FEzidB6RpDB7vO8/luma1ise8XhoQw8hbCiqetsLDeaxHqprjcxImCd+Et5P4/TJmAZ0ShsoyImdEAXiMjyxzOXNZCwfnB9WE4a4b5nkLwRFweIwr0VKhQjWV+k7O+Iw8V+J5fqYyDGcY9kAA70mrjWb8SSO7nZ43iJMuY2ZbgpnUbQJY8QxGNac3A4OxGtKZa8qMX25c1x56vd5OgraDHfx/FZ/4VzySv4uLySU+6m4hTQw/+U2vv25p4HYcP7SPrz+e8jxdfvbP1qH6/K1T/+LBC9x3ssPdF9Z4+1vf8rKO64Xw3XccQ4vw2/sLtt7/3E5frFcvfgf47eb1B8BDwL+9qSN6EZjeaxlIwSNblgt5zlYQqolkTRCvo4xIamo8uXIMECrlkeB5tvA8lQvjnrzN/O5k+yHAZ0vhXK04XwIhzujn4thylo18xFqV89SwJG+CFR9ME4QHaiWEJgAfI0comn1Ebgd80Dw+lChbCwZPwG6rF5HgCONZaQmo4MhrP2dcYHFN0D5lHgZBWMOyyYhhEJ4s4z6CD2ipMb6aqWtyhIZhKf30O8sHzbTCJKAQJBjE1QyscGmmLkuCwvpWkzRFaWEhbZwDgo8yPufxRNlW3cjOhsTg8PRMRPpEfvX35iVryRsWXDVsgQTN2TLh2UI4P1RE/5Fx0hAjxBjMBrRYTo8qzlTj+heFNMmVUjE4naR/MrYrj7Ky05WayDwJMYhO3ZC6MSopvOJSnbDhNGfzgHXjGi0YyLg+Jo7ZEygbZkckofYZEmCjVtB8P27ZkkuV57lRPBbtS7x3hKbGLV6HOKbIjMSEb5ZZHF+ZK3WC8xkqWM5VwqUypkg5wpYonmvs0n0wbFiDNIyhl4CTuG9Xl1ypUwIBRUCNzU4aYwwpp5K6gOJCkVAo8GgCEhNB39xBIdaB1cHjpCQQuGxhMJa5hSjbVb5iLP0LM0m+EgedqcvnGFeoWasUG7VmVGlGUuOUsGUzNq3ibF6BG0BwgBCsiz0Nrjpj4/3E2k2AYRBcqBlKSQgBEUMgUDb34aihCbUdosRxcWTB15NE5mLZyPHCNAE+X6Vs2nFriSm7pUTIazUncdYyHWfpOlSug93GPAeg9m1Kt4AEhROD9zrKMhFGqsZNZJBx3JtuOocWAhTec0Y8XgKrlebMyEWJpby8ccy1cEGuR68AACAASURBVL0J0hO9Xu9ne73eW1+W0exgBzt4dcAWuE/+Bh+tv5UnsppzsswPf1WPI7s6L73uXwM/9l3vYkWV/Bt5HcMP/PLnvd4ffPYs57qGb//oB+m+8Q03ZGzbcaCV8iUIf3xykXxgyT99tV3vDm4++v3+F/T7/S9sXm8CXgM8frPH9UI4uGfqyLluFc/kbZREcVtdDXluMK6dmc7wFihy5dhwdlIfUU+CwjCX1vigmvn1QOGjhMo1AV/twBNZEZFxqhSDfS+GwbjeRlk2dT0nHRLizP3YW3roNFrqmFxJwjCoGEAyNazI/Tq5bKBUQKxD/Fh2lqIavY/EMDayMM2xeQKXa8NzQ8OTow5OtltwB86XCodjqxqCtfht8qLZkFN527Aymst1dJLzdpMwThyapOTRKuGpYuzQ1gRmjTuexbJmDWeKhGfqZJIQ5MpeZWQwG9IFFJeqgkv11TbiEJmic3XJ83WU8s26Oj5bmhigBsdISgrlJlv1swzerJFG89bIKZ7Kt/EkPv7+9Chj2CSjYh0VgpWMkROsD2zYcQPagPEF4kZUCEUj3Zs9utMjzUYNz+aawiu2PBTUFBIZSC2W01se69O5NbcIbNSO6MYYman18X6D4Jpr4pQwkJzg8pj2hykrslo7rtgoSayb85F7eHIoPF+AC2CVsOU0FkH5ukl+4nm/lCtKN2WuGvo47lcUIoIPSXT6k6kBjYTG6S4IG05xoTEQGYgmx1E0z8JYeunGCQieXHsEIXdRRghwuTaxPs5N2SVHYNg8R1qiLYxu5IVXGZOgZv6NKHwylfGaDdZCwfqEgZteidXCUTV9r9YdbNUJ2k+Z6XhaIl8XZZuKK3WLysfrU2OpfcbFyrDl4HQhrNYzz2Jj0uMl4WwNW9eoDS3dAgFN7uHZMuG5ImHkNEEUTlIqhIGu2dLTb7oah4pTHhO7+8kESxDqKmc0KVq7sUnW9SZYrwX+BPiuXq/3wV6v9+O9Xu+v1nV0BzvYwasPD/4Wj63fw4XWZT7hjnPHgQW+84tO3rDdLXY7vO/1e9mkxY99ACjWX2oVNgvLw104UDjevexR5tqByo3AD9zTY9Dp8Ce7Rgw+eIawPZLawasO/X7/AvDGmz2OF4LYaIIAUdITgHUJDGWDi8FeVcxkZfqW8iVWhnOymZG2XG3kHIMhJYKVaaH7xTKQzyRNPhisn7pxDpzh2TzhQmXwAQo7v+VS+WtKm4ApozKT6NROM/Tj8QcuVDNSNX+1DfrluVqfGMhK0JPCeggkjbe5FfB4nrWRdSttMQ2Ux8cnBnFRRjkO2MewBGy9PidNK0UjaLxoztQBO8MUAazV41n7MEk0J6FuM/QhQON4Nq2l8pNr5raPMYwT1iZIDoIVQ9lIsESamXgCs55vT4/aXLLTbSlXMqLCzjjqKRwj1fQiE9UwX1F+pQGLEJrwcIhDqLnsykntEMQ6mwphe3XL+Dcl0UpdiWPN6rg1kcYcJAbzm8FNGba5/Cwe+0A8Wy6ygxBrsnxz3is8PgRy5SipmBdUBs54z0jMhKUbS0dV8EiYZzVHyjJUQq4sZRAuV8K5udpEFU1Wgif3iueK7lXJcxy24nyZ8mg+ZaOcJAwab0Y7Pdq4X9tMqmQpPsDFRLhUwfliyj+Pl65mpkskqMnDbyVrOMdA0PN/AyfXYua9s0XGxSqj8Iq1Mj7jw1CSq6sTnItNHdQVqwgSGka5GYPEZ6BQjpKSzZncKQQhSOSjCq84VwtaLJWdTp4cGPooj20midaaZNGH6TFsqprLfsTztWLo4lhj3d88Mz/rWBn7l9Xx5bY7lgacJLjmGb1WY++XE9eVYPX7/bqxwf0+4B8DXwXc2+v1/rzX6939cgxwBzvYwSuMEJCP/Qr319/AA6lhGFr8r9/4epK/RkPhvwr+3rd9GUf0iD8Kt7P6/pdmsX7zgTM8ti/j6x98gj3vetcNHdt2fMnuRQ4WBb9/OOAuFZRPvHRCuINXFr1e7xO9Xu/+5vWJXq/3HFEm+KrEcLVi5BqZl4qBzKrVjfwnwgeDlZSOCTxfJjybtxg4Rd7YhDssNsAThWLVMZHUEIS1Zta6VJ5chNP5jFHNXA+gRvI0E8SMg8nCK84UCedLR67GYd081Mx720NvH2Bo4XyVcKkyPD90FF5Rb5PrxGaz07Vtw5BYBDezrCMwVBbtLbcMIpuiZHY22yNBz7EMAGWIn10LARh4g/g4Oz9SdsLkFaIZesWlqml8K1dbZY+Tg8tWE6Wd4/qXqQX3pm03ScO0lqRmPkmtudrOvmyOuVDSWGpfoycXsOmYST2hCm4ugdazMjLvWLSOeN2Ta1qmeO9ZL6f3oRI7x3ZMkBhCkjDyU1mnF4MVRUsHdLP1kRQTJzslrknTrsFgeAGxV70/N7aof2TTNMuFMGFMN+z0b5aSmjDTA6y4hkTssheuBEtJRT1XKDe/XHWNdSOzHCay1jHWXLxGs389o9umcK5xPbRoTg8VF+p0co7GEK9RKk4azMolvagJgysh4HFI86B2Z47TCZxz8S4bvyvBcL6KZi+EwEbd1Nqp8fYD6PljdNS4oBEx8ejEUwfVTNg4CuVwzfohCLh5VongyINglbApBnHl3DUfM6dhbp+B83WUeCZNny0ldiKVDcBzRcLZcn6SRCBKmoOeLAuR8SNohk6hgqUrn385wl8H11uD9c5er/fLwGeJydX39vv9O4DvB/7NyzC+HexgB680Tn+Up08v8mRrxIPuMF9z136+6NTeG75bYwzf/7bbKEn5hx9uQ/XiXdb/6OwqRgJf+6E/ZeFtX3TDxzcLpRTvO3WUh48d5uFuxfC+51/R/e/g88K3Av9N8/oW4I39fv+7b+6QXhjPbJVcqWKDzli/NMNCNP+vlJHnGCc8Piiu1GaSPGmJVt9CmMj6xiHLuOJjV1VPgphEbzckYFJjVZtp8FNtCzDHsiBUU8eTzM+cb4gmTwN+xvbcG8PZXHFpFOtg4vhpxj6/g0FVz9vDA4VyHB7l877s4/MjNWt+WlN0de8cohtdsycXrj3TDyAh5XSRxH5X28Z1oUoma7zWP8YBuXTVfsbYdGBlFCesZkItH+BSZSIbiMPPNGee25s4VPAoqRkqS66i+2BAv6i0SYBSTfmwTac5OwqsWw3GEFop0kone9NB2J8XGKXm7jlgkpi+UKA4ToMXx855DQW2tl32aDRbblyzIxiZ3oO5xET2WmxCojyb2xiLsYNgIJqKJFqRIKw2xYcr9dR6XWmFnrlfxjVAQ6fZtJqw7d5fq02Uim5DroRaXeOeml1/bGDSJKoQJX3nKsPlyqC0mmOSVBCs8aBUrFUbQxw+xHXGiRg09XchEO1q/EQqPDtRsCHRDELPJIebNsqGPWGGtYuTMbGILG5rLMeVZjqDpJnkUfFajes+R4DUV9u8xzo8z9FhPtnHLEbKUuKpZuXFM7LASYuHmbGXXk0Yrnhg174TZ7tUCIFaOWr8VX31RBTDhrlV4q6q+Xq5cb1T0v8tsXj4jf1+/4f6/f4DAP1+/3HgX17v4Hawgx288gif/HU+Wr6XT5g2Smt+9Bte/4rt+9u//i3conPeL7dy+i9e2I/g/FbBIyuGL71YcuLEErpzY2rDXgzfddsREuf43eVVqic3qM+9eEK4g1cGvV7vn/V6vZ8iKivGr+8H/kHz/qsS0dZ8HExGB7P5mh1hqaoxSm2bQZ+VfkGp9DQgYdo4doyWFzrOs78om94+88xBoiEdz143wanfJk8cB3UhHTtqXJ0MilYcGc60XVBEhqNh5Dp+bOOukCbJGAfD3dFgWrw+c5Rd57l1a9DMSocmsA+YxjrcNOOsxU+GtK8Yy5IUPg1XMUPCfI2WUmrSi2v2PMI0SYPAbja5PTwTg77saiYp0WrC8mgMWsXGtWPWqZJt20ZTS0YSAu3x7P9MACrJ2JnQTKSRe4triUDjzP84rxiNE5ssBaPRvqJ2JUGEY4OcW8oKlczyXbCnrNGKibTS6GsndA6PFY0KNb5xNRQAYwCFncgvG5YyCIhr3o/HM03G4r7TGe2dE0g6Wxzk4uScninmw1bVvKrmgPcV4+sbkNRgtg892ImczWiQiblIs2BiINGIngn+g7om4ynXYkHTBBKDTzUlnlJ7RmNbdq2mEwQhXsWgwqTmCkCyBAyTdRSx/g3AGM3RchATu7nGxfMHuTSTZI4ZwESryTMRCJP6QrSe3GfjSrrZxPFskVDNPAdtW7NUzbdTmb092s1zXQU91xevs03C7yjn7u8xMhEONT0BL9cmnk/dfBdqxdFhzrHBCIzhdJE078d74vhgRCv13CpPRCORbdd+IiluJmDCwo2NG643wfpx4K39ft8D9Hq9nxtLA/v9/udfqb6DHbzaUOdw+uPwyB/CZ34D++ifsPHIhzjXf4TzT/bJNzdu9ghvDMpNnv/0kzzY0jwp+/j2LzjG0RtkbPFC+KF33E1Nwo/eJ9sckab4Pz5zmmFL895PPMDSKywPHGNXmvBlacKf3XmSLeN3WKxXDx4CHn6BV/8mjutF0dVqIn8xM/VRsxPBoZMxtgTIRK6agV+sHYeaAEcRE5a2rSLzM96QDhwZDlmqpzbfk+3PBIxZqOmYceAc5iVcSWStjlUFp+qaRTcbKMWfjzo7kyBGLqjONCYBrYUTecEdgyE2CCFLyFSNNvGYYoA4RdsoDlobk4SJc51DScnhwSp7ynnr6YulwjSBbDpb+K8UGDNhQSaHc40EYjnfvOq9cYAmDYsgSSBkCo2KgSBMLNK3G1oopdi0M0Fuw/ot2HiOnZjIAKjAir+678+1MGcJrn2Ukb0EjuQ5dVO1lYlHaU222EK1UqSVEFoJK1VF0SSTEwZIqbmD0nosJRUSY0iD5ZR/OrKHRiNJBlpzanMAStDdOi4v00RxFscGQ05sDTk8yueuh1KKTBfN8UaMg/gxDlYVoudZFY9gg0O0m2FVIBGPQk1kdPf4z/Am/8nI2hjdBPMCJp7Tg6Nr9EpSCt0wUq3QpKFNYiUmQAqVkbitdJp8KyBJrmbIttcIjtm85dqiEoPzDpRCGU97272xt6jABHQrZ2+es7eo6DqPniTwM/VJyk8YsPFxJJPm3x6Lndj/eyO02ylJluAIk/tAAd2qmCR4Hhvv6W3sUiWKC42UFqVYtvUc0x1UYKmpyTIhcHwwmpyLhRchltre0xJhn68gFYxWpFrzVfmHeR0Pcso/w/6wyhu3zs2xZRDvZa3juJ/NE65UV0+MvJy43q3/IvAPZn7/VeD/BN5xndvdwQ5eeXgHD/8efPbfw7MfAj+dHUyBXYCxGU8N9/CfNw5Tr9xB74vfzl1vfyd7jhy7acN+WfHw7/HJ0Tv5eKdDphQ/8JWvvGfN17/ntfz8Bx7hI/44D/2X/5vXvec7r1rmvrUBB1qaN93/pyz+6K+/4mMc47970+183aef5N72U3zHZxNWvvoWzErrpVfcwQ1Dv9//1+Ofmwm/sb61BfwL4K/WbO0VQqI1SRO0LZc1q20D6DhL28S2qQSOjnI2lGGYNbUeaQLON+orSxY8qGhY0CZwYLSOBNhTONY7y03D1BgMnRyOeLLbJehAkMi3ONEYpXiLewB0wgd4AxL03GzsPuvQjS2DAg6UFVuZRqnA4eGAzGk6S4u4MQOWBEiExBcooCMOkhoTdAz2TMa+2nFlYYHUCapM6diCIm0DiqN5FXdkNN5ZPBalYEkHTBMUz54LbQIqbaHzbe1UteJcnpGiODXKOd9uMTKKoD0inpAYEpWCeLrOc8coxzrh2ZVFtJpKMyfxcBNUJommntitg8OyIOB1ihcPOkOLYIxCB4UoxZLyDIBEBBWEtq5YsZqOgrwVZ+0Xq5rhTICeiKNKAiKBlAxlGsvw5upYHAqNRjPyDjNu+zaTsBgcxwYlJYpEKbLMRCYygeACOghae1CC0fG6i3YgBrRhZTiiTFOqrEWoFUqBeMMt6gyH2GQkK5zL9nAor8hKjwL2qCsk1FzS+xq7+ADbkopMBNVux08SQ+I8SYh+lW0l8dlIDFliOLQ25NlZRkQCLWNAB1KjIDX4ENhX1xw2gk/jsh5LN4028LvLiuezFl1VcbDMuezWOL1nHwYzOWVdhEXnGHc7TCRgtaBUwl5rWW1purXgTBJDea0IWghKkRrNa8qSx9spwanJ86NVTCj8jHRRA8dHOWcXMjzJhHnZV5SMFjPqjkIpHSm9EJPyMk2bdQO6VbErDClyxS4/nZwIzZRAwCOtBKooAE7FY7XBJAYjnth8QfBtg2paCwSEY+UGz63sIcsyQi1IPZWe+kRoVTXBaNDN9WwSo91VxXqrFa9zEu/l9jYNqAqwNy843DyhTinGxiqkVyeh25MlFQJJalAejpUlXW+J1Zq6udaxxkuNr2eWYJznYDHibGsRgF2jz28i46+L62Wwkn6//6HxL/1+/9Nsf2p2sINXO0KAz/wG/Nw98Lt/G3/5cZ42r+f3z97NvzvzJv5Iv5fPnPxenr3je/DH7uEN+9b5zls/zTfs/TDn/vxX+LUf+l7+7Jd+huHajW90e6Mx+vgfcF96mOdkD9/1thPsXXzlkwWlFD/wJXfj0fwvH8wJ26xnH1sb8uyS4SvPjuieXCbZe+Prw14Ib1lZ4GhR8Ie3riAiDD96/qaNZQfz6PV6v0Sc8Pst4O8D/5pXaXIF4JNp8JJoRdJOCE3dhwcO1zWd1JAZzUpds1sEsoTUGEhTEq3oKkErxa6qniQ/45nnxbri2OAKqZkJdFSNbhukbVg20G5sy1Urncy8d51Fhyg5O7U54FSZ0wkFGZasew6VbcYgrp2StDNSkVjfQaMUg6skdBNB2kxdSzOxjEo0oZWxpxjF+qQsnazQTg2dzHBXMeBUOWLJOUK7BVmCzlK01miluGU44BAFogLZrARSK9AKpQMtJRwZ5uyqSiBE9iJLOGgsJ7wlNQqtKmhpbtscoBWTYFV12uhtTETQsbORTjxZoknaBqU9bQSdJXG/M0HmnrpiX1Wyqyx5jX6ON/Mge5sItRUcu7zjYBnlbiqLwfSRwTCyVFpItWIlM5imzkgrCB1DpgK3bQ64ZXOjYY8UoTn/pkkAEgksVfWc9POAr0iN5nA5gjQQ1LRybEE8vqXRSc2X2vt4zfACidYYDYnRtMWxPx+xt7ZoAihIsKR1jsdyyOXsUwWpspjEo8VP6rbmWFgVmT4SIWjHyXyT22QNbQK6HRmiW11O13tuz3O641or4BZXcmo4QiuFmLitXXVNYnRMwtME0oQjyrHfFmg/wtgR3XqEUYpUxasLAa3g5Cjn+GhqgmDShP3VkJoaVOCUvsjX5B/lcFGy7Byp0YyNJYMCTGgewNigftE5To5yjpQlJ+s6ntsxK5QGuouBW6i41daRpdWellGRGB0zZlmCUor9ec5ybVmxLt63RMItSw2ZljlZ8NBpTm5usVsJWmtMCBwdDDhUDFEalsNUTqiNRrRGa1De4WyFtzYeSyveP6aV4Jc0e4PjQD5sWj9IfLYSQ6udsl88SgW8lskkRBoCaWJItOLYYESi1UR6qoCQaqxolpr7ous9qY6J6bL3UaKp1IQF63qPThPoGlRz3mdJ0e09+0yiaYuwIDXGRLbT2BurzrleBuvjvV7vt4EPE5O1dwL3v9gKvV7vp4EvIl7RH+j3+5+4xjL/BHhbv9//8usc3w528OJYfQru/QF49j7cwbt56Ng7eKI+S/fW8yx8oWVJC3CWVWAVWN+vuHJkiaMXM952+RJ/48TzPJmc4AMf+WN+9SP38ZXf83289sveeZMP6q+Jy4/zqWcO8vG0Q1cFvu/dN6/jwle95zXc9cFH+JQ7wn1/9nu8/Wu+ZfLZz3z2DKIVX/XJj7H0FTdHHjiGUor33XGCf3y2w6cee4K3fiJj+d0nUMlOD/ZXAe7u9/tf1uv1PtDv97++1+sdB/7RzR7UC6HtNiNTgEKURZFBN8VZx4lLl1laWUepQyi1QGtB01KBPbpi0wUuZRnBKxacRRLDgbrGZwl7y5os0RgJlJ0WidKYJPb3Uc6TLmfoTIPzrDiLqkqez1qQClSQ4dhvAnq4hvUKTAdJNErH/kqtRGPbmxi7Qo+aUs0nHTpLWa4K8k7CiijW0zZYaM0+HlmyzbhCUMqhQ6DrLKYx21Aqsnum20HKktbYKaPJvlKj0EajXJzVXxJPbzhCkdAigCvo5IornS6JUex1l1jbSthVGnRm2EhT2s6ygkdrQ+hkhNSQoEBpThWbDJzn7MIS7USxPzguMd8cNvE1+/Qme8IaW9mdJHXJ7sqxkbXRBtZMgiqJM/raoMsKrRXH7RUyJQz1tI/ZvmDJEkPaTlFac3R1MJ3hB1Q7o5077tQ1j4cMr2KAPDvF3V5sk7RSLII3wu0yU4GWJtRtaKcCGlbEsSIWmxiSlQV2AYMU3lrfz2p6nC19lEU/hCzlgLvCo/oUabfNraMByllSFQPKpKH5lAK3mKGGBWpBg4FTxRb4jEq3WCdt5GpCrxhMmIdW89256CzKRAmiKEHhCGlCKgrVbZOVNZkItqnPaQUhaAU+ELaxJS7zaOXZlUBSB7rNRMI+W9BCQBlaiUYlAYfjqNOkrYB3YEwAFfAm0MoMK7ai6LY5Fs5gjEZb4XBRsLaoKQTWGsbEa0Fanj2hYi1rsT8vSERoeY/KEpJuC0LgSLUFTR1aSysQQacjSHIYaA7VJetBs9npoIzG72rBasH+oqS93OVSSBiLDBVwt/oMZavN07wZgFOjnCzRlM3zs79huNoiHHBXyMkmLO+yq0iNYLtLMEmA46d32IIr3Yw9ziEuTsgMtnnVex3I9CVO6vMM5TWI6dIuNpE0paUVqhXA63iuF9rocAa/dRAdMjbTgpObBR3dwq8M2BcKznMbaNhnLWe6i+ADOlGczJ7n+dYx9jrLapKiMsG1m/tHhLYIW8Atmxuc3n+ANDHc5keQD9mvLrBVGmztSVZWuJG4Xpv2HyTKBBMiOfi/9fv9H36h5Xu93juAO/r9/tuAvw38/DWWuQt4+/WMawc7+Lzw4G8TfvntyLlP0b/jDj5w+wVWTz1M99SApxLHh/KU++1xHjVv4WLnHWwuvIPO0hu5ZfcBOre3efALl3n45BLH5Qzfcdv9nNz/FP/x5/937v2Ff4arr2Hf+yqHPPDv+BP1Js7KLt73xSdZaqcvvdINQpIZ/s6b7gDgpz68gXNTKv9jw5zbBp6Tn/sLFt95cxMsgPfdeojMOu7dPUJGluKhKzd7SDuISHq93jJAr9fb3+/3z/Aq7oNlasuii/VOK3Ud6ze0YrersW4Ya6GydUISUIlCjav3G+qnFTxeQ2VHKOM4WmzRCjkqSzBa0c1Suu2EdmqgEwgLGmV0Iz9shDTtNieUpyPCwVCxWxwmHZAtR4mXQ9BasdhOWMgMWkOrpUmXov5yxbtYTK8jE6GShL0JfPXgo7zF9kmMQndaHEiJ+04Mx+qSE6Ph5FBUuk7avYhZWWA/nsONaYEYTzBRPmaWpk2ZF9sJaRpZnLQpXh+7qCkVa4Xu8CMOKKFTbLG3GnLC1RzhGV7XeYLFfYscyRynpOZ4uUZGQUgE03boVNPKDK0VQ7rSZUlHOaAmkGjFHjyLY1WTDhwZDviC/FH2pSMWxHEw02SLGQd9RWLijLtaSMk6MchcWlmgs9imTZiMfYyQBNRiwniOXQPmGgKhEIQWOW9z97PHr7PPx5YRnVaCSnU0ViBaZadNryOraryWWAc2N82uSBONUoqDSniNDFnQwmvq02SJpp1V6FaNaaXckheccDmbPud2+QS71TpOew4by4GyiLel1oTlLpgot1ezrF8SjTD2lQWGAK0mWW0Jt/uSw75GL3YmBUm3FGucqqZ1cSo1JE093jip0+0M3W3TSgw+9VTZVOZ/pBqxr64piyHel+OLRsgSVGK4jT7RS0+x11aoRLO0oji+dJ6qI3jlKZOK5ZZw0k6b7dIRvK7ZVRXsa8xWtILcV6y7nL3e8po8J5mkMTPXUCnaGhhuzscM2qIzhdqdkAFLzqKJTn2FrwnGxyRlbnvjGktPqqLfZCBEkw8VJosppUgThUmipFIZIXQSFlLNblvSbRKw3W4+hlHAfldjgDSZJvJtsXyhfpCVZIAhcCI8S5uCtnj2dbZY2n2BlSxAGkgCZEbTbme0OjXGBEx3C2VsNC3UDqMVrcWCBROvUaI1SRbHrbXioLnMnmSNw+oSe7zl9irHaGi3DInR7Ksq9hLiGAGTKHSqMApW1CoHOE/PPUvHvXS94vXiuhisXq93DLgbiEJpeFev13tXv9//8RdY5SuA3wfo9/uP9Hq93b1eb7nf72/NLPPPgX8I/Nj1jG0HO3hBiIc//RG4/5fZWOny8J0thm6Lc4/t5sE9h7nz7q/jXce+lN7uHqm5dpJh7QaXL/9nLu7/Iz5x8AO89omc94aneejOS3zww46fe+4h/taP/jTLy3te4YP7a8I7Hv3o43w8uY0sBP7OO3s3e0R8xdf0eP0DT/M5DnLvH/9Hvum938BHz29wftHwdx/dItkFrVO33uxhspQYvrSd8V9e91p+8IMbZB87T/dNB272sHYAPwv8DeDngAd7vZ4F/tPNHdILYzETDhY5+5QmW+lwWCwtJ5R1TQ34YAnJvHsYxEA8GI+WEtEO0Z4kaAJglrqxTqcTLavH6GRN81XgnurTrOq9tNp7qazQSqBVjSh8TVun6CQHaYrgVYXWLRQJyZw920yNz1j6k0QmoRUEP6xYNGtxySb5MssxSWqVbuLjd7LOsWqTdmKgnWALJnUdYgIh9Yj3mCRhH5foMuKcfgO0otTsqIwoi5raV2SuhUJIqbg9PMYV1eFJs5/ddkCWZTFjaYFKasgu0Qma1w5Oo13Cw9kXcGf9GUpp81Q6dVFNlroknTYgGGAhCLdIiaWJYbspmfMcPYXidwAAIABJREFUcjWrGTNF/WO5WA5pCbb5u6AVoZ1SjyydcI357gROFEOWkitspvtx4ji5OcBrwx5JEfEU9ZBjYUCnHbjLPUFXAput27Aru6HpwdUSx756jUTndNN9bBmhlppF04H0QtyR3TfZrXcuyslUlGc5Etoi7FabtLIK6yELgaGUKO3iLamiNM5o6NixiYKgk2kyorMEX4UoGzMG1UloZ13eaD/Gus14Wt4EKspaQ6eF0grRAWeEu+VBWnVzbfT9aAKee1jIYzAP0+RNj8uCmr/f+80GV6RLZhIckGYp3V1LrPoRwYGIp828Mx7AKfcoKNjtjuKUJqgwVv1N7njVaaFSYU/xOBut47TMAm0CK+UAmUmaVaIJzuO8G6v6QDc9o4AktfGGbAu3qi1MsCh9gFRrFhSclIrajz0vA6IsmnYjRzTooEDFZy5tK5aCMEwMQdWElpmTg7ZXFlFGA2t0sBzFs6w8m8BSGPEFw0/zjBynAE7kQ7L21VI6haKVaO6sr7A3LXmDf4LH5OQce6jMqDlRAhhuqXNUoed65WmlCDpOWNgMfKgYm1qOGzikLcWJssCLI21kxUthg4scn14HopyyFTTO1ahOwqLqRHnoZJkw//+279KXG9crEbwX+FPg7Oe5/CHgUzO/X2ze2wLo9XrvA/4SePY6x7WDHVwbtsD+5reTPvl+Th9t89DBJS585ADl/i/kG//mD/Hduz4/s4o03cWRI9/KkSPfyvD2x3nuxC9y+TO/xV1PDTl516f5/Sfv5J//99/JV//w/8Dbbv9/ASH71Pu5t7yHZ9jDt7/lMLu62Uuvc4OxuLvFd9x6hIfOXOQX71/jPe8e8fOPPA8a3v2Jj9x0eeAs/v4bb+P9DzzBveY5/uazXeyFEemhhZdecQc3ElvAb/f7fdvr9f4QWOr3+2s3e1AvhE4W66aSICitWTLPA8uUxJl+YOpJPbteE6B1fDWxlk5WFkHB7e5B1uQga+bgNfepgLaUHJXnOT1KSbMWijabvsAHj1IprcRgrFCqgMzMhHdlCxtqrMrmNwioLIG0YRVsINMK56aOoCEEqiInzdp024a89BijosQM22xH0U0NeIVvGApna+qqpNXucqRzBUQ4N7vfIKTGYYNCihE9/RzLMgSdsiQDWotpI9uZqdscW1ArQScD8LsnH7XDvKW7SgynbI4Ofi54rlxJKZa9C4voOtatjpMUpTXogi7gtGCCRs3YXg99QdAl4tuEdoiNiV0TgCo4mj7Niqxjs5SBTUDApJokNPb5SrGYGLImgQ5ApixWKWhtcEdYpWIZzSa3+NNsJZ5cLVDjoyGEjuYAs8YTZTFiyxXsmWEKj9uSxaRJQowQMiFtXSToCoaQGo01gYGr43VTnqR9aZ6wSROS3W3yUUWqRmTZLowXCAMWdI0NpzCujfMFkl6hzQkARAt1sJNkW6sAJvbwaocKi2AHOe32EoaEw7YCqUApTLCc8E+zzyzwjLprOhaj0c4TvMe6eF2YnMHIFo18SUe3WLIVC4y4zT/DQ+YutoflmYzYH66w5CzYZRRwZaZ2OLSExbCF1sLlsoOvPbdYQ51AVcZzmhiJTZMVtIMDNWVYEqNJREhDTIKU9khwiPI4HUCD1ilRXhuLBY8ooSxHGITNYAmlp9XazS5RjS3/9MLsDX5ihNLzfRZVl2PyLE9wFGUbo5h2mxVZJQslleqwpXeT7Vqk7RzdIKz7Em08zjgYH7vUHLXPcIH9eNXwry1hvz0LbsTFLCPMEGXSSUmyJW4tP8m6WkRcjS8EWqDJUelpUrUBAq1wdSNuUJAFxDmcs/g2VFVBnSist5AaFAnKOVRS023dWBfB6y0UWO33+z/S7/d/Yfb1Istv57cniWyv19sDfBeRwdrBDl52SL7K2i/9VyRPvp9HTy3wgbVbefpP7uE93/HL/N2/9y848nkmV9uxuPga7n7dT3PkvX/Ko2+7h8RYvuPWz/HFyXnu/ac/wa898K8mDQ5frbjy0d/lL/V+FPD977nrJZd/pfCOr72TN9aKJ/w+fvPeP+OzRckb1j17H/1LFm+SPfu1cM/KAkeLint7RxAVGH58x+ziVYBvBR7p9Xr/FvhaYPQSy99UJMpiFjqYThsIoC2FvtB0phlj+/eIpxU8d1Sj6Mw3RtNvpxUqDvvT86uo+cAkAK0m+bF1BXpEkk7bUOwLl7nbPUF7W/+oW12fO6onto1HYVYWMN32zDvjfjzCQVvTlcjCee8oyxEKxcJYurgNaaLnehjXVRxDkJiEqqYZ6l6ds591NlzOMJNYiwSsLJ9DrQxRBrqtwBF/GYDRaID4a0iEtkUoIQQSKeZ+92WJkcDQV4wap9kqWNCeWK4V910WI/K8MUlIr9BKrnCsOjftf5VsAB6VbpAmOUG7qxJoW1coF/ehE41qJchyhrTjSalUjTRVMiJCkOjWaNpjZ8JLkMYAPm24j5SKxCjaaZRUXXXO7RY6OExSUTZtMuq6pCymj08nrHGyfhCAO/0zhFRj2ikuOGpxpIkmNaD0tvK6Bid5lrfaT7HXliypM1g3AhGS9jp1VVKrdSwljq259eqmp5MEwQdhf7gQz4PUjHzN5XKdYDwL3rG7bgxCojcmabjabv114XOkrU2Uji6cifMobZEkUIYaCQHbyBCPyAW01HQlylkDwkJjHjJlUSxq2zO6aof49BJH6o9zTD9OaBKnNAgLkyQ94NWAq5/veaggLKhN0sU1bGuD3G7R9SXLbsSK5LDcoWjFuimTpXSbhydohfGOW3xFunQBWtduKaJ0SZJugnJ0sumEiGvs1I+5pzngz3HcPQGts5CO8GMn9u0bC4GuvUhLhuyRy9P3NexX59nvL7Koy/kmWg3SeosD7hw2s7QSNz5F0RTHlC+euajpD95FqeQpeZLX8mcknSya4XQ2WFjZpHON75yXE9ebYL2/1+t9X6/Xe0Ov17tr/HqR5Z8nMlZjHAEuND+/C9gP3Af8HvDmxhBjBzu4bly4+CBrP3cXu9bO8slb9/AXH7uLBf8evvuf/kuO3Xn3y7KP5aXX8dp3/ycuf/M/Yn1Xylfte4r3Lp/lkV/59/zYff/T3Iznqwr5Gn/w2CKPy17ec/tuDq+88k17XwgHb13m63ctYULg1x4uuLJg+PLzI5TeovPGV1c5zfvuOM4zR47xCZ4jf+ASUt14jfcOXhj9fv+7gB7wy8CXAh/s9Xq/cXNH9cJYWW5cwpraRyseh8fpGNimwfKW5HEIQlUWjAYb0DpHMGtgR3RCDKT3hcuYYAlhHHrPQOeQXQY9mAT4+8sR3ZngmWQNkxST2q5FiZ+1VcWb1Wd5c/gUugk6t3kJEMSTjwZYW+OLIa7apB4vq2FZHD1e+ntQvKcqCyAgLU+VOphJILdPWN1aP8gbeIzj/szVG1NC4UsKV7BXrsQzIjJh1HRjQWbCePvT/dR1ST3cAFWDqvEuOqsVo018Na7vCSTZBq325bic2WRCtQQ45p5iwU+bkC9Jzuvrh1gOzxOSNVpJlFWO3di1huAqMhMTyrou8d6RZQGz+wppJ9ZYScezUW1QhhyhJuESmpykLhFvOWqf4rbq6cm1ClowySre5+jEos2YuZpBEE7mn+aUeZSsM0AnMSkRkRisjpnEuiat1gBFRmQGppnU1UnCthZJLIcNFLDX1/jgcMGBkmi1zlQFe9WdYgylXmUkObmvaCcW02mj2xmia5SCfDSgLKZyP0WAZJPQTBooUzasHbR0UxtmLB7hcDngcDmIUlxAJwVKl5OjEmvxZdOTK13H69X4SXPsnewSpPM1uCEEar8OusA5h9cuyuhMfMa3lEI6imAGVO7s/L0dhGyGqTkkz3Gn79NtWUzLQbrFIf8U78o/ifY5m65AQqAeO2e2UvxilBH6oqAur9HTawZKRohziFQsqSGHwrkXWDBuP2eDLV/Mfc9MK81CdJTkhdPGO+V5zKKaq6kcoxbPSEpsw/aWwVKKwwc7SaJGowFVsf2Y5ve2ZGuOyTih9HNLXfX9+DLjehOsryTOEv4M8AvN6yrjihn8ebM8vV7vHuBcv98fAPT7/d/u9/t39fv9LwK+CXigMdHYwQ6uC3/x6H9A//o72V2VfOjgcT7053fz5nd/D9/8P/4Y3eWX10VG64QTvR9CfcfvcOHwMm9dep737XqW9d+5jx/78P/8qkyy7Gf+A3+q78Bj+MGve8PNHs5V+JKv6XFPZThjV1BDy9s/cz+L7/xylLmxs09/VXz3rQfJrOMP9jtC5ck/c+lmD+n/9+j3+wLUQNW8ujd3RC+M+ZomJsxVu12QaM3RcIkDssbd9lOYeotxIOH8BneUD/Ca8DiHw/McCmc4Zp+gtpcZuhLxgh6eRUYXCKqxgjcjMANI165KVqQJzvRi0uwioLMMk0R780IqdKgbG+Rrr1vYkjvrT3Iiv5+hHwdAAfGe1CQsZ1NZYQgB4wuWZW38BgeK5zhcPxmTvc45FlJNcA0joWaDuYCWERICisD+cIXZsHzcT6iqR9R1jRNpGAkBHQM3W42wdc3++iJFKKnNKoluguSxS1p2EbKLbLkCO2v7ToDWWUxTkC9JnP0PDbMEsCJr3FI/NzlTe/0Wt9lzHC6epsxz2kka+x83Qfrq1hVqn2OraWDt6pq6ikmD1pYgwnAQDR/S7hohWyfFsc+vkXqLdzWJjXPXGkErjdYW7zxiVskWVtGdK4QsLnOoXRNCYKVh+BaJCWGSbVLKWD4YE842BR3lEKbszhhZZ419+jwmWBZki7uLh9nlN+gNPoeZ6SsZgp/cdz5EW/QQAlrDHckQkzZJTHP9gjRnUydofYkki8xg8A4ygzaK7q4rtLrrvCnbRGab8aZN8N5sy7Q3SLuxpUqoKpR4xj7foTFG6HaFpCVoXeHUFu3uBUxTS6YIV2cMyqOSAkXAqOHcR+IsrmFLxTl0a4vQXQUFdYispWm+lbSpCVSTe/OQP8sd9kGoR9i6oq3PoE3J281DoB0u2WIlXcVocFJPyJs6OCCw6XIGTYLWUTk6e3Yyrt3tuFPxntFgkyCCbhhL5xxKwcFwiVvCM7RCAWmnSUiapEkCdTlCmt5czZVi9uQkRoEEvMDyUux3N8aJdkmiIdUjVJaTttYnn/nZ5sgAIVC6Mu4/BEKQyECL4ObMOAKVtw2rG6WSe6uC/XZr8rlWAd1uUbTg+WqDG4nrdRF8Z7/ffyfwnvHP/X7/BXU7/X7/I8Cner3eR4iFx9/X6/Xe1+v1vul6xrGDHVwLIQR+9f6f4u57v5e9peUvOyd45NNv4lt+5Cf5om/+tomU40Zgz763s/KdH+b5U0e4u3WFH1h8huf+5P38xMd+4lUnF7zvg5/iEb+fO5dSeoeWbvZwrsJt9xzgy02G0oruY6uo0x9j6Su+4mYP6yosJIYv7XT4i9e9jlW1xej+Cy+90g5uGHq93v/V6/WeAH4YeAj4r/v9/jfe5GG9IFoz8wWF2CZIijBNwf84gjrAWazO43fJzJzNIgOqIIzydVxVggo42eSYe4xTSx/D6bUYtGrLkfaIpWwcDIbJ//WY1VAJHqEjBWmaYDKDC4JIYK0aUHhLFSwhBBbsEyAO1T6H754jF8vhLAYvXSITZZIc72vassVd9SdZCjHoKfMhR0ef5rh7ilZY4+7yEfbIBnvCGpgc8R5bDVAoJARyicldojUjX3Gw/BwDXzLyFUpbWt1LoGu6XZkwLkoL2oylRgHTWUOnMUg3yTqiNGJLCDG4u0U+B8TkJMiISiwhgAueQmpaGrrKQfCNDCkibxzYcqkZunJCxZTBclv+6cl1GtUlBKGVeIajAaExowiN9E10lDYdNQUtoiQqdcMm2YGwTd4oTYIwdk8MWEimPZxaicFkNbpxD9A6UIvj1NJp3n2oROvAmt9gwT0zveeC/3/Ye+8wS66zzv9zQqUbO8fJClczkkaSJdlKFrLlgBE24AyYsF4wi/lhwGDWpOcBzC5rsM2a8IBhCbawzRo5yHhxFs4ylhWs6KswozCpZ6Zz9w0Vzvn9UXVv3+7pntQ96pHU3+e5z8ytrnPOW6dO1X2/502AoBk1MXZBce53Zhhw5onl3EKdIaFoLcRecYhKeDcDSWr9GA33kyQxOxqPgp4BERIR0STCMbNtC1sLgT+FtAlbkkMIExM165gwwkQRUs7RKxasU2GzRq3RxEiFlJbd8UMM8n2wlrIzifQkVjk0o2a6FjJr8Ig7A0TIzA1OyDQDYU8yhtAJShtMUsNEMTZO0EmDskw3AM7lCVzboKTTey2wCGcSoVMC6SV1xubGUSoEa1PrnzVEWVySdGpIPU8pHsPRFseZRekZDBahQ6w6guukazVv03uoG0eJGvMkSciQO97OBglpogYhRdtalB6bJc/30k2UDJcG97JDpJt+rlJtQl8Q6TlHmjOw8Iqh2Uyvr2ynqXh7QTrMxQ1qSQQIkiQlccJOE8cRSs+zxX0AnBwNk2Y9FMZg4oQojpAKCLqxxtCs15AmZFSPs725F5xJZJZp0rFNOvehg3yTzeZBLrP3I7RBiNSyG0U1vNJhHK8OTg4rakS2TmhCYpuww+7J4rTSIuotpKV3LFYsYyFdY6w2i+ANpNYrD7igUqn8D+Cr1Wr1Cyu1qVar71xy6HvLnPM4cMNqZNvAcxuRifjjr76Tt3z3n+irx9zGFibqr+Sn3v0O8l3dJ+5gDRDkttD/xm/yxCdezDnf38vvxoJf/8pn+EjXOfzkzp98WmQ4EczBe7ll9gLm8fjFl+1cb3GWhdKS7heMEE0dRe+Z5bZztnP11Vevt1jL4jcv3sZtdz/CZ/ST/Mz+EuG+WdxNZx9pfY7g08AvVavV5aKhzzq01KPIJIhonCF5hMPOENZY5mwTIy3NzC3NuBOgPeaNl9WUMoCknoQEIo1RiWKD9mcRJmGzO8OUdBkJDjEV55icdxgSc+zsjZkYM7iupSupg40JTR3t5IhnGyQNS0E1kcpLXX5kglbjJFGdRCdsC8bwat9l3vRi4ohDWiFsxKicxWYuhq4Nke4cyo0JCuMUwojExlyvHuIJtZPb6y6+roGO8d0+3FhBLGjZO4wxKDeGBEI1S1wLCG1C4HhMCYPIFMHIJgiRxncppwHCI44itFK4QQ1rBTZJiYhwJTRgNpkhH0cEfh8FYpSUxIlF0mBHLqEWxcyFe9mXDNAwPkmY7sB7QjDgTTImPOJoFDwX6dSJaz5SynSn3QnaFrBFrkgmDcKXriURTUwkEEkMCqbiGkLGaC/heflJ4jmD8I6CdBiKDrDPjBAIQ6QmUa6kt0Y7951GkIj02kM7R2ITQC7EBAkQjoODAWHJ+zUCx9K0c/REh1DO1bhxq/YRbDWHmLADmDhGyZaqmKrfOjeBrJUYsimJ9n0HopR8mzhBqIiuHIQLRiuENeBpkGOpO6QVDDXvJe4gC8Sz9PuPMjLfQ7eZIa4f4HA+z47gAHbWQpxgnDytcECBRWiXQE7R9DxUzeCJWYbkGH3iCR7LlZiYaHKpnuRw7IIbIYWg15miK3cn9nA6O0IkWGHZHO9lIvFBl8GOIYXFETE7wz1p8pEMg+IoyjRoJCp1uTUReRlSI8ATNYSoc4nYi3AcjJ3jPjvYXgOWlBR1z91PV9kQi5gjyRbGk4iirONaaDbTXIU2iUE12a6+zxE7ms61SDBZinGLJbBHMSi63AZNFITgqHmKjf2ofB5jHBKjAUFgG+Qcl+5kCplMgQCvneQlI9/Ckpj0WXBcA1YgpOFcWc2ymabrKokjtIrQbgPTrFGiTimBvNPPODZbd1mhdDtPogvYKGS4eS9gCZMJ4mbIkCPxikf51lSBwNY5P/r+onyOc+pJHB4j1GlimryZBduNW5hB6wSrp8ArksxNE5kEHXjYbN1tsY/zkB7GiiwsVc5xKErj5wAGSmc2LHe1W/h/SBo71Yrofj/wB6vscwMbWBWiJOK3/uPt/PTdNzM4H/MfbCHY+d957e++62kjVy24bg8jr/kqT1XO4Tw9yR/PjfOB297H7Qduf1rlWAkPf/mj3GOHKUnLTc8bXW9xVsTngoh4WwEXwxe6LuHw9PSJG60DLu3KMxIm3LprG4Zkw4q1jqhWq7c+U8gVQLErTZNdNmNcoB9k2ExwcfMBhKgBltgYaMUzZW5yrmmibIz0Z0A5WATCEYhMgTDWMOTM4OomCig6TcruPCYCaWbA25pay2STC+wjnCcf4vxoLxdEqSVDOOlOtRUCTxhkFruyNXcQVIgjQ1xRQzoxTq6O5za41n2Iywr3IpUB6SCt4ZzcFEpKpGoi5FGmw33EqoHSafyGzU2QRHWicBKTJJkab5AIEhLq0RQ96kGUN835/kHOVVPE2kc7HkIm7V13gAvDRxFOjdBNd+uTzF1MCItyktQakxEGyTRD8UFG6w8jzTQFHWKNIc8EQkak2+5QVBHNOGpbpMqlhCBfQwhoqDrSM0iZZlhse3oKQdyOS5LpR/kp4dQRWlqE1CkRy7C90OQq/7s8X9/BkPx/lOyDWCyhiYjlHBdFj7IzfJy8M0so5vH8VJMMTQxSIUXqQug6NbTNLJHKQ0qLTRKSDvfGrfEhttT24NTGGNUHuT53O8qZxMlPUXQPU6LO9ii1QiXWIp0QJcjie9JU66PJGFpKioVZduQShvQ4UsdYEaFsTMuLWwlBrCL6m3sR1qCdWaQUSCUoZcknhr0prhN3kWuMYTUIZZEYEJoeM4MjLFJINhVrbWuvwDJq9/KDuS/hCgEKmtZSdOpIM4tvDyLDGjmZJqxAzeI5llDUceefzPK5O1jlEIkwza5nDIk8lGaVFFDWi9O3S6VxlSBO6sRxxJydJlAzjHjz+FIywlPkuiYAifBVR706SSBjQhvjJFNYPY8yIa6NGIlSFfoacT/nRdX0njYbSHsYz5mi15+gR8/iZi6FAouwSWZlhNgk5HVaSFh7UwQqJEczixOMcOKFa7BhneHmUwxHd2GsITSzXJjchSZqJyUxxDTlLCKQiKAATkDU7IhvzDi7Q0SfmFkUjFnQloHCGCqYgDBESIvsihmb/R5B8z8pySco54+QiNTSRDxFEB1ka26afjkOfpneUmNhIGuQwmAzV8CEBOEuTn6iXYXj5egNJpEiwWLZquc5V08hpAEhkVIhvBihGtQzi1bf4MOcSayWYEXVajWL8oNqtXqYM29128AGVkSURPzGV97OT99/C9tmmtzhbOacH/knrn39m5ByfWJ2HKfM8Ou+yv7tI1zoHOV9B2d5523vYGx+bF3kaSNqcEtVc8CUefWu0WUzSp0NsNbyQBSyrWm5riF5ynTzkc99c73FWhFv3jHCk0PD3BE/Qu3uw5hmfOJGG3jOo9jdz8V6PzvEQYL+Im53ABho7b4qjeO4qA5lZlfzMXZGaSY/HXhpogwpkWLhZ7jsGLRIU6eXkiNcXLufywoP48qQyegwNkkwJAQ5Q+xPIRAQR+isCLEFajah39uH1qnS3m1nMVYgsJRyIbpZRwnDFjNJoBNcG4KAbh3RH4+Tz4ecXzxMwdfEOgI3wg0mKZZTpU0ADQx94T6SJGS7P83O7n1cHD5IORpjt3iQIY5wRX4PQa7OQFCjOTdDn7OPsnOILh2is3nRJsaYBlujfYBpB/x7KqbLrWGlITIRrtdgs7c4IUG/P8eW4iQFN0FqF7RDn6zhmZBuMQ1YHH+OOdFAujHSSVAkKA3axlwYpsqx5xhG7RgXy6+Td59KfdCUwy77JDvDPYDlnEFQro9UcepOJS3d4XhaHBmLNQZPHk3dITUkMiXT1sTsiveCteTLKYk0UtEZiTKYm2B7cJRz8tNIJcmVYpQJ0VqyQ09ykXmM7fogNjHkm1MgDJp5rImRci4l8EIikgikJpaKpp4hUo3MTTKiqBr05iw9OUuPX6dhHiKvQrQ01GyN7vxCvE3rl2Wz8yTdySQIg+OkRamVFCA0LhGaCIulqOcRwjDqzHJJ6SB9ZpYhNU+PbtBTbjJUaGKVSyBq9OtHAbigeIiR/CxuOSDvkLpdxk0uUmkVIZ+Qy+NHkE5IVzRDXzTFiDdNn1dHKEs+V8f1anTZKaJmAzdXBOmRkxFSJwidoN0GjlMnP/cESjeIM1+2IW88LUWAIcaw2RxBMctANEGX08TJ1mbZSbjEVNlhx9rummRPgJICj6gdD2aAfneCbcUZRvNNiqpJQYVoLx3zfLUvqylnURJGkwku79vDJn8K7cRtX7+42SCIppEaoiTkvMb3mTEN6kzScOfYIg4RKyh7c+h8BEjyMkLrJsgmCEOYNDuS86X/SzBcmOxlgFnwQpAxjgdg8WUEKo3rUxoGG09xrj5IuZneix492y4rgLXk5g8zFB1OLdBAwWmCVPi5oyShwcYJjpe6Mo7kxtFutlHg5giKvTAQMViYp9uv4YfzaHeefOkIvZ5kxJ1COBLhBuAFDJZrSClxlWT1FOj4WG3veyuVyh8CfZVK5Q2VSuVfgAfXQK4NbOCUYa3lD771+/zI9/6N3ZM1Hi4Mc/7PfYltl16+3qKhdZG+N3yF/SPdXKHHePvD4/zuN35nXZNeHLj9X/mm2Y60ll/84QvWTY4T4RtPTHCwrLl+rMFFDZ+AkE883ODo0aMnbrwOePOOQZw44ZOjDjYy1O45cuJGGzgjqFQqXqVS2bbecpwUauOMinG0UiBaDkWC2Bo8ZdICp45mNBBU9EKa5URYYinSmA8pcdw5uvPpmhtyp9FeAak1Xl7SNX8YayO2mf2IoMmm2j0EudQKsqNoEMIivAShDVJblBsiMCTG4Jg6UlpyqgnSpFYgv4xSkj49h4rnKJoarmMJvAgw9HaNcY6/l5mkxmzSwJGShpglUE10PmZbMaTcO46nIqQ0KJGQGENMhJaGSAhGOIrSTQSGkWSGbn+WkdwE5+YSCmacQa+Bdv02wUJqLkr2kLMhSBekYjRVzq5TAAAgAElEQVQ/zbA/SU+uybb8FDtzTzBUaOJIuagQKdYglUV6Aq9rABs8iZ+bordxkO0colcfxfHqzNqJdi2ri+LHuXDm+ww1D+PIZkpQZcim4CAFrw6mjrUWIS2BDbFSgZQoB67svpeiX0O7Mdpt0uM/StEPU8uNTAnKFm8aV6eEx6RhUellYun1JxjxJtrJIISnENrQ482ipCVOYtARUxMzoDQI2JqbYYdzGC0MNplDuwlCWUp2ji3FCYZzk+R0iCdiup0ajltHSonjJAi18HvVm5uj6Cbk4ykIG9iMyOZUE0goOLOo7PycWwcEBVXnYpWmdxdiFmyDOEzJeCtLnxCQNw3yqsEW7wCjajJz1TOU/Vni2UlsHKOkIOzYz9/W2IenDUpP0V9ogHK5SO0h35UHYTHWMicaXN11IN0AAByZUFAhBTXHoDODFIJzxV78xhR+FouohEXptMCwchtIFdETTOC7qYUyaYQYK0D7uHYaDPQnU2gnQQqLLxO0SBjypvFKPkJpsqwmCGURKr32K3NPgJPjnK6QFwaPcE6wB0c30+K5bhqjqRUIna7zLXYMgcCXYdsVtWynCTyZ1gnLlkqJOpc6B9henkEJma4JAwPBJIPBDFokeP48fq6GCjyQDoPFSYaDLOmMnAI1jiUBFSLzku25aUa9MUb8eZQSGGXo8ZsMl5s43Qk4grKYRzsRUkukEmyL9rHdO0LZrRE6YlHCC5MYivPjoByCopMtZoGNmljhpnMGYC2OTGO/tJgnlAnacWkkkzSog5tH0EAIgxKgpGHQjrct/hfljqRZO718WuT7DIfDr5ZgvQV4GPgGcBVwK/ALqxVqAxs4Hfyfe/+Oi7/+CV48M8nBcg9b33oHXYNDJ274NMHzB+n+iS9xpCfgVfIA59xxOx9+6MPrJs+Xb7+HR5M+nt9VYLDr7EnNvhR/f/9+jBS86MF7GErGuKYZsc908c9nqRUrpyTX5QtpsotwjPlvHzjrEps8F1CpVN5IWtj+M9n3P69UKj+9vlIdB1Ix6MHmwLClNybfCqLXEU5uMt2t1ha35JBzO4JbEEghERxFYhDCkPMaXDl4D65MUjc37VNszqTJCJQDArrCWXQSIXSq6ChdT12rpMn0vzm0U8fq1P1MqISt3lGG89OUnBmkiNq72q43hyNmIYrIuQYlJ3CDCaQT45UT8NNsrc1miIwNOD44LlrBZSP7GPInyakmQkGXN0GSM6ADwmazo8hQqq6MJFMUzH6OhqkCKIUgrjWwxuB4Fu24IFMlzfE1ffkaSqaFXIWA3fEeuuI0oF8VPTbn59rzmDQbbbIy5+4F36K8EKESEJoRbz9CJ5yv92JNqvQ5JNg4oac5yWBhEuUXEZ6LUgIhJFr7qbub01lxVxKbmJ7mBJVwDwjIc4gub5Iev8bWniZoDY6LowVK2ra7YlorS3CJ9xjDzXGuEHvYnIwhHbLETZZyNIf0IppyGm3GmNYeuAsZc1vJMtAax4/RGpQSuDp1i8sVBaOlWfIqZDgYZ8fANMIadkT7226SWgtslnWOLOmG0IZur8Emfwy38QTWWGKbUHRCthQmCHyB70oCmWCiCGzL1Uu1rUEAm4vT9BZiVFFSlnWEdpFugsoZhLXYOGZb6XG25o9SVuOpqxmgtQRlGCxMo6WhbGbxui3S1/QV5ujzZ8g1DpMTLXufQAjoduqZO6JEasvF8inOrT9KMUtcYSOzMPXK4uRqIDVbizNcXDqEsoZQSsp6Hhtlc4FFyhBHWp5X3osvDYmco+g0GCrMpC60JnvWbMxAnK5nrSRbGGdHtA/pdaroAtxC+5snYnYWxsirJi3HMdfV7ayJEsG5dozrC3dR0A0koKVJSak1uNIwHO4nF88jXdje3ENvNAkShHLwghyj+RkacSNN1NEIcb0aQ+VJlDvNoJomSI18IMGVMSqsEeijSEfT79TJizqdFbKKfkQ+30Q4Aqfkg9Ttv/puVoB7SVms3mQKoRRSCPp1DZTLrgHDUE+Cb+Y4Wj9KdOixlFRKnT4mGbEPmw0CZwqJJWnMk5t7HBtnVbztmU7SvnqC9aasj28DdwNOdmwDG3ha8dlH/h+NW/6W18QHmC7k6P/FO/FyZ19ygVzhXNTrP8psXvPryX6+8qU/Zc/0nqddjtl9D/Hvs9uJUPzXG8552sc/WRhjeajeYKhu2P71j3PhRS4X1XvJ0+RjD9aYnZ09cSfrgN/atYlEa24tHCE6WCPaP3fiRhtYa/wS8DygZUL8TeCt6yfOCSAkCouM6igbMVhscE73NFf27sG3DUpmnlg0adj7ECrhSu/7lL2I3nIT6YJSdQb9Q3S7NbrkHGVbx1EKqw2y5Y6jPURGPnritF5TKS9RgSQU4+3YipLbYLQwmbqJuQGbyw2GvFmUH6EcQ1+uxrauWYQAx5E4boOKv5/RZYLGRZZyGq/ILvcoeSWyrHNpMqL+aB7h5UF76XieAO1glLPsNGk/xOTBDRbKIPhePUtgEaVubtnlRjakHIS4ra6ykkX5OEu5rQEFI8E0w+4Uyo1xHIHrCpJ6Da0VrtORnU0l7C49zg5vPL0u6SCUIvANXe48Jaaw/jgyUCjZRIqF3G45LyEoJSipUGKJ4gwUnDmEFLiuav+b6wYTyDa3atcYEpptTFJ0BFpLyqLWVkwDFbbPtcZyzvwTDCZj5EydotPM5iVzsdIBidtNOC9QWi4UrJIK7UscT1HMQd49wnk8krl+qey+SkwjS09vElBpDJoOfPy8JM6VqVMDx6J8cD2VJgBROTAdabg1CBdUljlPODlUZlm0QCNp4kmLU0jJdld9AmsSTNjAc+cIZETUIowi5eGuCtnWPYfjSnrn7sPxHAqBIe9ELNh2VoBQlNxpRvNH6HFroBeryTIzQFlA+bCVgwzHh2nEDTpV6i6vTj4/RVD0UH6IWwTXH6c3qOPrGNXhIiiSJo4jUVowb2aJrUGrKO3O9WiYiKO2iW2x/8zK26enkZ5K6+e5YeoW2bGZV2QeT0SpdVsIhryZtowGS1c4g5LpnJX9OoPRYaQDKg8IgSRs7WsgRcJQoUbJmWWwR7OFp9rugu1IQykwtTlclVCgiacEnmMR4tgZlzIdQwmLVhLXNzj+LLXwIK6rOK93mktLj3OpfIyBwhzaEziuxg08tOuCEPTGk/RHR3mh/R5BVpC47NbpzqzySMVAfiYl3o4lcUKkSDC1WZJGk0AvqQO3xlgtwbq44/M80h+v61cr1AY2cCq4e/+d3Pk3/4s35/aQKIX/s59H+z3rLdaK6Bl6EZMv/x0SR/D+qf3879t++2m3cNz5xVt4KBlkGLjxBWdvcouv7R1nf7fDDxyuY2cPsvP11zE8qLmm2eSAKXHz57+93iIui91deYZj+NglFeIkZO72/SdutIG1RlKtVkMW9NLm8U5eb0zVZ3hs7DHGZ8aIjz6FaabKjRQJA8kkgYrarlRSWTaJw/QPCgpOg8CJKDl1fDVH0W2AgFKckvpEx+icQEqZBsE7CkeZVLESCb3+YbaVjjKd1FI3rViiZYKrDL3+PGWvjuqosQMpqfJatYqkQHl5XNfB1wtJFFpKvGwF+QtJLnwYLSxdXtY2icmF8yA1vooBgeu5ICRz4Rybgmk25Sbp96bpdRc2UyITt7UXGYDfPUPQHaKVwUYxm3KzaCeNIUuJQ8ZQpMYNJAU/aXE8pAOOMLg6aluHhAATZgkFHD9rLyiaGkpapHLBK6bWQOUxmp+l201JmxfOpjkgRESXUyexCUoLHMcymp+GOK1FVs/qeuUyJa9d36ttsQMpQ4QGLzunrNM2rhMjXQehHJQrGM3PU/YaICRad8QaK4cup8Yms5cL3f30BjXiVv8qJbTN2XpKblvH3EI7CYjyQXipHn2uP8aAP4V0Uyuo0BrptYyFHSRUCKR2aJoQ3AKy4KdEFkjCtAB1Z50q4WqEBK3NovhCpSRGpfWYdGBSpR8yCwtZIWzROrQIk42F+kZCNhAyJaItaGXbbaSXWWE6EHfWOtM+ws0hXY+cT8awWCBIAoST9tFyZRNAl5eOK2STgnLa7ZaD0jJ9jpQEAfUkXctKCSbr08wlTRAqI3Gg/AicmFIyi8wSdYhmg2DuSbALm3ndTj11bZQSoWnPr4kjpDLkELiuZiQ/TZfbQFuTPQPpPdeuSsmulgwUQnJOBFGMoxcYU38wT9mPyHk2iwlLk22UPAtCM5ibozeoUfQTko5Cv/W4AY6D0B5CKIQD24LD9DlPpONr2JyMkXdC8k76bKabQgv3Z0BOMxweoawWkl6V3TrlzMJvvWM3fLSao8vM4iR1epf5+1piVWnaq9XqOzq/VyoVBdyyKok2sIFTwBMTe7nlT9/J20YfJqglNN7wAXJ9Z1+x3KXYuvvtPLD/O1xwx2d5+/1f4dZdH+dHK699WsZO4ohb92qmbI6fOG8kfUGfpfjg/fuJS4IbHn4Qf/du3OEhrvwRyaG/jbndm+bmu+d48w838H1/vUU9Bm/dOsjv7Yfb9F287G5N1yvPRfqreuVu4NTwjUqlcjOwqVKp/HfgVcCXTrezSqXyZ6Su8Bb4lWq1esfaiJliz+wBdP4oWmnAIWmklojRuTH63CkcrWmpksLN4bgp0VISBnNzRCHtjRolbHsn29iEyKSKquN1uJl1QAhSRVIrbOIgspQJRTfL3LWMHiI602tL3VbKgZR8ZG5LnclzpIRN3tG2Oj4fLXRccJrkdJgFn6fFVyWGKLSpVUbEQPqch0mI8sGatjEM5U1CmLrBScdAZ24ZqVOZhMzcvI69njQmJGrvyrfgOoLefMyROYVBpi5ZMW2XxaUouBHdvfNEcpqkDiYWaY6L+jyxaQLeIkbQ49coM7uIXCxF2W1ic5ZCEtLtRGjXtI1NQoHOWXSYQJRNcqsulXKRxrKjtB+ZzeuUSOOFWvLHZkkSnhWSQXmBB8aBCKQv2sTCJkD92FhiAQwHMzRCoJPzBeCHTaKmpqxrzJKyGyHA8SPwMuK0jNWj3Xfq5YqSFlPjuAapZdt7ATpJEL5MY6CyKXBkQquqWctK1TbqSYnnSMIIPFeiFIvqNQkNKpfdg07CaaYpdGYgWYLAiYhYzPBiktQKq7NEDCKPbHYOBo42hICvI/rcefI6TGVOYtrviRYBFTKbJMvmYArlzqNyEiIHAThqpVhwQ28wj7EyJfCdAmRwlaEv6LgJ2XsmJ9NYPimg5IaAwGSxYi1yqgJI5hYWR5+cJYmihUlfOlcmlWE2zBJeeFNEjuTY/FyCWW1RduWJvyjeQ//4mfUsWW0drNySQ8PA2Rstv4FnFaYb03zgj36Zn9pUZXCuwewNv0Dxgjeut1gnjZ0vv5nvH7mCXXse5+Fb/zsTb3sxPU+D5e3hr32cu+JN+NbyM68494yPd7oIY0O13qDHczj/Cx+m+Ja0dtiOS/sZ7LVcW6/xebebf/7iHfzcK1+4ztIeizefN8Qf7T3IB3cN8bIHJPN3HqR47eb1Fus5g2q1+ruVSuU64D5S69VvVKvV06qPUKlUfgA4r1qtXl2pVHYB/wi8YO2kBUt9UcruFqS1uCJOtcr2wfT/SXPBKCdEyqmUEihrSUibREsVaAA33yZgbaIkJN05iwzrFJzjaITiJLRZIWGpRSbDSjTCcdTic2X2VUgQGuk4aSx/h4VnKVHSMiHxZequtpxMx0OWtGM5FN2QoCsijAVGeGRaNIGOqMfHujLarDaXCiBPjIpn8LJCx9Jj0XUKAVocP9mRENCdC1NCKY9/rtYS1/fBupCkSvXizjruDZxCoiWRpoKXpq0oQ3oPpAPCCRZdVzMJcQHXXdKNhD5/hqJTw1MxOSeLw0kNmCdFlhxHLpLhlCEkMi87vwKwqThD1IonU6l1VCjol3MkVlB0QgpO8ziE5OQxnJshNJqiE4LoTAUvSKwF3TFxUjOaP4IlSw4RNbIzUwtxQXc8r0LgyRjpgZ9LcCIFahKQyCBNjiJUDlEo49Smjvs8RyamuPT+AU1dTNsdp60hwWiN7Hj/aC1JEoPqJFAKWoYtpQXCdG7IiOPeZyFSgtf+3mqnBNKVmDhuW087sSmYRsR1lLP8875WWO3W9QMdn/tJrVfvXa1QG9jAiRAlEe9591t4+cBj7JybZu78F1D8gXevt1inBCkddrzuSzzVn+dltaN88ZaffVrG/dJ37udJ081Vfo7BkbMvTq2Fz39/jP29LtcfaSLnxii+9CVA6pJ05Y9dxK7aMEXR5O+/M0Ycn32p0JUQ3FQoUN00wr3qCLNffHgj2cXTgEql8tbWB9gNzJFqxJdlx04HNwKfAqhWqw8C3ZVKpbQmAmeIw7lUATrGGLuyEmPjBeVC6TSGQ2kJ2keVvWNcn9qQOnVvWzqSyFyblhuydVAuHxu1FI6rcNyTL43RqsGzLLSLdnRKwo6D/mCevmAeJS39wRz9wUnsULc23k+g2GtpybmGQlRvHxvMzbGtNJl+cQupZQiI5+qL2vo6Xuj/FK0ti0Q9jsaWy2JQCk4zPVHqheyCJ0OKTxJaS9wl91V4ZJazk1MphViYk0DH+PrU3t9CputcSoHQoINVXp9M446EZiFekQUCn3ciSm5qIfI63GBZMr9tx8OTmG9PJZS88Nh1LwR4JdCLN1s8nWTzlJ2sXBxPpc/7omvRFPKKkVKNnBcjc613ikGohWuKpuczl76FpiP5aUbyJ64x+eT4wVTG42DZ37qWy27HmMqn7f5pwsXrQGt5Su8QRBrr1xqjc0/KUQt9K2GQjrfgGnuGsFoXwe1rJcgGNnCysNbyng/8KhdHj3ONPEi9Z4D86z59cjurZxn8oB/9in9m+hOv49V7vsZd9/0Lz7v4zFnhju65jy/ObsVaeNNVW8/YOGuBD9+3j+aQw4sfeQDv/PPxti+8bs65fJBNt97JVbUmX7QlPnzb3fzMy65cR2mXx+9ftpVPfvMBPrjNYfdjLs29k/g7zt74wGcJ+pd8b+cGWEWfQ6QZCVsYy47NLH/6qaMxeYRgOV3CzSNJMPFxfKZIX3/tlONrrTgoIBapm91JuhSv+ev4+BvmQEqCCjLdzc87JxfALmSqgC7rNngqkGpF97pO9Pg1omTJeS3z4yqgpVkgexnSmB6DkIsn7kSWgeNiLe6rmydzwFtV/0IKvJxaG5myPrQjVzazLm0iUhLQJmVSp5an1brdn2ihr2BpbUNq3MxFV6xQ7slEx5Jadw0sc+3+rTk5Yn+8U47/yjtpDOdm0DI55njczC9z9tphtS6CK6U/E4CtVqs7VtP/BjawHP7+k++mp3o/L9/8KKKh8H7ys2kg8jMUwztezL2X/DwX/OffsO3Tv0x47stxg+4zMtbtX/gkDye72ZEIrnvhljMyxlpgcj5kv0koRZpd//4hSj+/ODmpEILrfupy9r3vfr7dNcPffGMfP/WSy8+6eLKBnMeFseJrOzZx8IlJ1Me+zfA7f2i9xXpWo1qt/gFApVLRwA8BFdKAoAeBz59mt0t/55fxvVodBCso50IiPIk6s5utx4XyUo+zVSuOpzO2OvP1apZzIzpTKLnL5Frximu8mjJ0ku4OnAqJOCOQx5vwUw2oWpUkq+6zncSl1VBoBCsTlRaxNdaizojwz070BfOn/R5YZHXsQDh9ZmOwVvu2vBn4LeBq4Frgt4GPAheRZhbcwAbWFJ+78xPMfv5LvGzXw5TnYnjVXyB7z944opPF7pf+L747spPuKGT/371w1buZyyGszfHxfSUaOPzwSD9+4eRcfdYDn/zefvb3u7zwSAM1d4TSTceSksHzh9i97RBXRhEHQ5ePfvX+dZD0xPitCzZhgZs3NYnHPaLDkydss4E1wUeAnyIlVwL4OeB0C8/tJ7VYtTACHFqVdEtgV/1zfAYhTtr7a82htEwJwbMaJ2GeOwNDbmBtIYXFUxH9wZnNTvdMgTLLE5vTQcEJ20l3VgsZZPF1nNnQgtW+tV5UrVb/b7VaHatWqwer1eq/ANdWq9X5arW6scI2sKZ44NC9fPv//DXXXv0Y2w/WiC57PXr3T6y3WGuGK37iizzUX2b7xFMc+OyvrXn/933xI9ybjNBrDK+8/ux2D7z1wUPUHMkN37+P4JJLcDdtWva8a372eq6pW4o0+cuv7l1d4PMZwo3be+mZjvnEuYNMBh5H//Yz6y3ScwWj1Wr1ddVq9b3VavU91Wr1NcDp1iT4AvBagEqlchlwoFqtrmkRtrhxZmuybGADZzXWi8GvIYSA4fxcuybTcmi5E8pnYEjDswULsWhnVl9Y7YpuViqVP6lUKq+uVCo/VqlU3g3HsY1uYAOnibH5Mf7+z97BC67Yz6X7Jon7duD80F+st1hrCtcvwI3/wJGSy+Ad/0jz8a+uWd/WWj5+z2EmbJ4XmIAdlywNUzl78OjhOaZdyMWW3Z/7Z0o33bTiud7QFl56+WM8P25ysKH519urT6OkJ4//OtRLLAUf2mIID2jC/Rt1sZ4G3FGpVNqBeRkxOq3U6tVq9VvAnZVK5VvAX5AWMV5T2A2Twgaey3DzaaKQZzm0ljiOOiYubgPPPqyWYL0aeBx4EWmWpaeAH1tlnxvYwCLUohp/+Lf/jReMHuXq6TE0LvqN/wrP4LirlbDrgpfw5aFXETqS5COvxdYm1qTf/fd9nW82t+Jbw2uu3Iw6i11ubrnrKQ4OeFw73sCdH6f0ih887vlbX/0mXmsfoCQavO8Lj5yVVqz/dvkWvMMNPratyEzvZo78+YfWW6TnAl4L/GelUpmtVCrzpEkqfrpSqRypVCqHT7WzarX6zmq1ek21Wr2uWq1+b82l3djR3sBzGUKeVJKQZzzW0d12A08vVnWbMxeJe4BvVqvV/w/4eLVaPXGOxw1s4CSRmITf+9SvcWXjIM/P76drJka+6i+h75kfd7USXv2Gv+YzwXb8KGT6H28As3qj8Oe/dBtPmm4ubmoue+Hy7nZnA4yxfOmRw0x7khvuvYv8VVeh+09gbeveyo3XzHONmWSsKbn5aw8/PcKeAvKe5vXlEqGEm7dpmk9C48EH11usZzWq1eqmarUqq9VqsVqt5rP/92efgfWW71ic3saAtRvFqzewgQ1s4GzDqghWpVL5U+BXgHdkh36hUqn8+aql2sAGMvzv29/DtgfvY/f5+9n2VB176Ztg9+vXW6wzCle5bH31X3FnqYeuI08w+W8/v6r+5g8/yS3jmxHADw710jNyZlOTrga37xkn7vLIR5YrvvBRul77mpNq577obbxNfYQ+Mcd7vvAwtfDsq4v1a1fvQB2q8y/bPMbPvYrD733/Rl2sM4hKpfKqSqXyiUql8uVKpXJb67Pecq2E018JG9vhG9jAMxlimUyPG3g6cGa9BlZ7V6+oVqtvIKsFUq1Wfx+4bLVCbWADAB+rfozZL3+K3Vcc5KJqHfoqiB/6k/UW62nB87dezWfP/TH2lwLKd9/C/P0fPe2+/uPfPszDyQC7Irjm+s1rKOXa48PfeZInBz1eNDaHr2IKN954cg17trPr+Tt5udzDrJH8z4/cc2YFPQ2MdAW8TPlEFv66UiA8IJn/2tfWW6xnM/4U+EvgbcAvd3zOStgVKNaG4+DJwWz4XW3gGQqn69kfe/ZcxGrfSE6lUnHINt8qlUof8OwLjNnA047bD9zObZ9+L1dfcYTdDzdwjEK8/oNZgcLnBn75pb/Hu5zt1H2FvvWXiKf2nnIfpjnPP+0tkyC4zuQ59/Kz0DMqw8R8yD2HZ6g5ghtv/xrlH/5hpHcKxX+u/3V+wfkwW+UE//L9Q+x58uzzVv6Va3Ygn5jj30cdHn3+TYy9+0+w0Ub2uDOEe4BvVavVBzo/6y3USkjM8u82caKfaXtmiIWn3DPS72ohVqjFZZ9hMWx+RzHoOOldR0nWDirwcMpnliwYE5zR/tcHK69dXTgz17sa1+INv4uTw2rfzO8Fvg1cXKlUPgt8F/gfq5ZqA89p7Jnew599+td51flTnLu/Qfd0DXHT+2Bg53qL9rSi2+/m5T/4m/y1HkUnCXP/cAM2OTVl/K7PfojvxaOclyRcd+0mHO/sDSL+xF37UEMBPU3Dxd/4JF2vefWpddCzgy2Xv4Sb9L0YLO/8hzuxZ1nCi0s3d/FC4eKHhvfvHiKatEz+67+ut1jPVnwOeLxSqXztGeEiaFdQpE6BNwglUfm12ePMOWdmMytJTlxE/VTJkhEKseRRd+XZW+cPQImOd/EZIslLcVbXWjsJnMzaebrQ1OlzVnKLK56zv3vLou8rWVmPt9yVf6Y2Ok5/LRwqrxzH3e13nXa/J4vp4MyPsRZY7dP2OHA9cBNpweGd1Wr1U6sVagPPXUw1pnjHZ9/KT/ZOMdhssGP/HFzyE3DZT663aOuCHz33R9lzyXV8OT9A18wUhz748pNvbAx/fVedCM3VtRy7bzh7k1tYa/nonU/xeL/Ly548Sm7HZvxdu069oxveyY84X2enGuM79Rqf+NTZl/DiN158HvKRae7u0XzptW/h6F/8JcnMzHqL9WzEbwNvAn6RZ4CLoNOzsqJ2MlB5H6eriPJP3uq7VBlaSQG0du2UPGt9zArWOkiVzVCtfA06I5CudHBkugvfcDzqbm7Reeo0MtKp3MmT00PlkeP+veSWjvt35ywggK377a6ltXIZsrBWJMFaf/kBTkaINcZMUAZACtleN52bG0IKVHHxOh8rDS/63mklVsHJPbdJskZeKCcg9U73yu+jRGnmveUtlUpoeoPlLbI9fjfecZ5tWJjX4yGRJ2d9W257VTyNTtdrYcFqVqvV71Sr1Xuq1Wr9RA0qlcqfVSqV2yuVyrc6a5Rkf3tRpVL5dqVS+WalUvmHSqXyzN5u2cApIUoi3v4fb+N1dh/d+TqXPGYQfefDTe9Zb9HWDUIIfv/aP+Bdg/08Vioy/OSd7P/c75xU28e+dStfD89hm21yze4hSj6zyX4AACAASURBVH1nr2vFnU9M0tQQScGLv/o5ut/4htPrqDjEede+khepB/BFwvu/tYfx/XNrK+wqccW2Hq7yA7ZORvz5xVs5ovMc/cAH1lusZyPuBr7yTHERzBdPd1c2VSNU4CHEqWV7D0uLSUKoV1B+VlDGTqQUdvI1oRXSTRUjY1LlbSLfS2KKWLtANoTrMJlf2WVOeg5ubwkhBLJjgMlcz3FlOSksM3dJB1HrVBzj45CSWb90wkKystOCdQqqWHwSyuWKlhJYpBi3LQHHMfRb657QKrEcYT5SHAIyeVdw61yKllXoZLGS9cjadO5PR5XuXNPHi+uLOwiyznl4fWV0R1tZHEKPXrGojdEueWdhI6DYQcKld+x6mg4WLHYL13J6rn15N09OL+gAJ6q7J1dIvCF0enwy13uMha59zkp9CoWXvWMm8n3H/L3RvZWZoJuZ8qnV6ZzzijzVfcHC+G0BjpWk0zX3zFkHU6yWwMwDj1QqlU9VKpWPtT4rnVypVH4AOK9arV4N/BxpAHIn/hZ4bbVavRYoAscvgLOBZw2stfzRt9/FCybvYmCgxiXVHDqJ4HX/9JyKu1oOA7kBfvva3+Pnit1MBw4Dd/wVRx787PEbWcu7v/wEIYrr5wJ233h2J7f46HeeorY5z3kzMec//C3Kr3zlafclr30bL/If4hK9nye14S/+8Xtnnavgr954PjwwSV3B3/zibzP5oZsJn3pqvcV6tkED1SyT4Al/n9YbBX16sSuJSXd8j6cuGSE50rF77vaWKee7T7q4sT2OUtepFKucz5HiIAe6NuGUC+h8jsOlVNHWxRxOKU+wbYhg2zDJ8DA1r4g1BZJksbK1lESsuKvdv6BUnQqzXNkid2wfh8qjHX9dfoylx1tEdbnscEt7sMZnqSq2ND5GuhqntNhCd7zzD3Qtft+nY0CgAyaXUWxbDMvaY61+/cEOlDi+Ut+5PoRS7aMtSPfkrHUTGbFOkuOT5db8Oh0kV3qdY7QI1olV3E6LSpJ0I52FOTiwAoFoDREpB6k65kbIDjmOXSsSSaCXv49Sy3YLm21odLrK6tYzsaTb5TYjljum9OlbTJ2O51HqlhwCKyThMhsNAonbW8LrO/a5bYlfd3Mc6FrsVSNa47jLb9y0+rOkz3Br3cvAI4y3Lqy4ZX7u43jomGOq58y6Gp4WwapUKu/L/vse4GeB7wB/1fFZCTcCnwKoVqsPAt2VSqXTjn55tVrdl/3/CPDsiPzcwAnxoQc+SO6pWzh3qM6O+wuUp/fBTe+FwdNwE3sW4hXbX8H1F76a3yyn7gHup3+a+aNPrnj+k3d/mS/Xd3C+mOei0T6Gzzmx2X29MF2P+NzewxwoaV51b5WuH30VMr8KUu0VueQlr+cq9Qh9ss7HZ6b47lfOLvLy/O097NrUxcv2NPjicDe3XflCDr/3fSduuIFTwfuBN2f/tn6bPr6uEh0Hfin9KWwpM70jm+hb4mpzoGvzIqUkJQqKOB48bt+zfom+rh2MFwZobD8HJRVdxV5A0OWVUT3nIfSCYilkqjy1YOzyloXx7hGOFBdclqSWNJ0AI3VbUQ1XsEp0jrfoeGbtaDgLu+0z2U6+LraOCZRQyA4VRklFt9/d8X0xKTBmQbHtDXYxeMUb298PlUeRQmLFYpJrhWhbX1qWjdYY0nOIVKq0jnQv737tLnGzsmZwkdJvjU9DLL53gZOHjOjUneW9Dmb9xe6HLQtgYo7vlqilxnN8nGI6F3Emv8VSLAzj65TY5NwcQW96nUtpwpHiIBP5vmOU4zZUDrenlMmlcXtLyMzq0WmpPB6s9ZjK9TBeWFhb+7u3cDS/uXVCW7aWdc0p5jrcRNP5W45zp8+M5EhxkJwOKLrFNkG21kc4y8vYcpmzVjOcez7N6DwOlbYhLr62fY5xt7Zli5103Qu5PClfGiuZd/K4fWUC7ZMk/ajAwxteIMOe9tvPVGcsmllyh4wpLFo3h8oj7OvZRlhaTKwH8yfvalhwF54L4Z9Yl+gaHMqe45U3PayQGKnppCGxcgm0D1iko5Guptvvotvvalu/UyEE1jokST9eXxmZkfooI3stfiWHBnB7S7g9JY7m0rXT+V6Y6t92wmtZDU7XgnUpQLVa/Wq1Wv0q8JLW/7PvK2GIlDi1MJYdI+tvBqBSqQwDLwX+/TTl28AzCF956itUH/oTrhho0n1fnm2TT8BVb33Oxl2thHc+/50cHq7wwb5RSo2QmX96IVFjea/cd33mQQyCa+Z8Ln/FVsRZnGHr0/fsJz+cx0ssL/7Kp+j+8R9fdZ/6ip/hpd37uFI/zqyE9/17lfnp5hpIu3b4nZt2cnTvDBdNJbzvx9/MI9/5LrW77lpvsZ5N+CZQALZmn/OA/7muEh0HTs5HAGWvi76gj14/JUCdMPgYqZkOupn3Cm3rFYuIxrHWhlm/jJvLMaN2MN9/IXObdqF3vRjH89BiEJQHXqqAGZNncnAbE33npXKV8mAd4nhBIWuRoETpxX6A7b+ncjfzqaItHPcYlyPrbuGc8gsBcPsXdpKlViAE88t4Lkg3VaCEAD9TxFTOR/ounvLaiSOWd/3pIDblCvn+C+gL+jJCmyp0II6JR9IDO9DdpbY1qjWGEHAgfzFeqUCuuwe3d0HxXMm1rMdPydRkrhcthpjRW0nEgkKv8j5T3VsZzy/Zbe94f8fKISwuJmXGlIiTXmyLRArRTvIhAOEukNmLKy+ATCGNe9N7bE0/pvsF9Ljb8OR5lHJXI53lyVrTCah5BYzUC5bFDhdS6yysk9b6HMgPHtdWujSLoirliUw/dTeHP3Ah+7u3YIUk8fNYOom5yGJ+eji4eSfzXosEpeek5GnBfTQxRZKkt20hmh28iMnBXYhNV1L2ygjfwSyx9LTcUFvrNzHdDG47FxAIATYoMlvuT61pQqCClDiNnPNCfO3jdHfMY8ckTGy/qOO4277HSqQWTZEbSDc6VPoc+MrD1+dTdstZLFrWNGsXaJ+SV0KJbqJ4Kzl9fjoXmYXNK5cQaqGdZHlLWsvaiXCJ4+FFGxMA3eXFVr3l7quQEisLWBlkc7Z4o6HTtdDi0lXs4WhxEKMc+nKpe6BTzuOU8oye83Jy+RLnbEqTnLm9pbaF+8Lzr2AgN4gUEkc5RF4eoSQ2u4dWSY6MnMfRwW3Mez00HB9f+W3CqE8QR7lanC7BWjqnJ6u9LddukTGvUqkMAP8G/FK1Wh0/PfE28ExBdaLKrXe8jRt7m8gHAi6b3g87XgQvfdd6i3bWIdAB773hvfxdqcDX+4cYnpviib+7FmvMovMeuesrfLm2nZ1ymkr/EDsuOTV/5qcT1lpu/u5THB4OeMn+efq3lfF2bF99x1Kx6zW/yWXyUXY5R/hPFfJ/bz67wm/OHShyyfNH+C/3zmOR/PFbfo0D7/6TY+7nBk4bHwNeD7wLuBL4VeD311Og42FTcTNdHRYYvYzLYJSkivVsUGbMvZIjuR3HnDNcWEZpEIKe0U0Udl0MQpO4Pl73TrZXXkdXz3ak66DLw0TxZiySnBvQ/rluEyOFMXlUrkgSpErXwJJdcKtSomTIc3BThamhrQRbhnC6Cli9JAOcytHVtZOBwmCa/TBwcYo5jJtaRuorBNHrzOoilQZrU/e57jJOIYcSpTSttRBIu/U4Fh1BIX8BjUI/YuR5bOra3iZYKlOoC7kSWjoYPYrwulISl1tQNq0FQ0BXvi8lMdl05Z0cOteHM5QqkZ2ufcmml3C4a5h5v0it5yrGc4td+XTgUTr3PIxaTC47U3WP5/sYKIwssW4KWOL2KDMSXHALON096GION5fDDQKkljhdBfTAJp7MXUex53Kkez5SKvqCXpTSFCovA+WgpESwvLVx1i+ji8M01QJB3j1yNcYZyayqAoQkUAvrqVRYLhNgyyUuS7rRU8Rk9y7K97GpvJUoHsEf7c9cSnsXuUXOtJT+JYXbW5sNLZfCnF5MTK1MybxwAhzpIJXi8KaLFp3jSE3ZK3c2QgjB1tJWNhU3o7XDXKkPnblRSkfh9ZXpzfdx7ei1y1rRRod3cMHwJQgEcTyEcYZYqh5bWWJz/3XYTGbteAzmhxdnnwSGckOUvTIFp0xebyXn5LHWa98zk8UQDvdcT+/oxTjlAta6SLF8/JpWLnHSS+Jv5smuC5n3SoRuERVk6+uYCzrWHy/fvZvzBq7G6r4sxtLtiH1KreMyKGCtj9WjeKUSur8LTEYKO8aQWlHsGW5bfoUQJI7PRG6Uclc/A92Xc1nl1VzYdyH5vl0c7N7E+K7n0RjZzFTPCIl2aHZfB8B012Ymhy4kLI1ytDh4zJyvNU6XYC2d0ZMNcNhPh8UKGAEOtb5k7oKfBX6vWq1+4TRl28AzBEf/f/bOO06Oo0zYT8fJeXZnc96tDcrBtoIl2XIOWI7YGAzYxhxwZI47wsFxJhyZI9zxwYGJRzgMtgnGxsYBB5xkSSDLbVm2slZppc1pZvr7o2d3ZzZJljZJW8/vN9JsT0/3WzXdXfXWm7oP8e3H3sJl4U76t7o4u70NJVwG194B2vg+37OVqlAVX1j1Bf7RZ7AtHKbm8DZe+P46bHvAh97mw/dsQyPN8k4XSy6pGNNFYSbw7I4j7FZS9OgKlz31VyJveuOEHVstXcr5NR7mqbtxaTZ3bN/Pq5sOHvuLU8j7zhc8muzjwy/0sKm8iu8VVdH2e2m4nyAilmW9GXjVsqx3AytxMt7OSAxFz5k8qVque1gq7axcu3UPiqIQaKxkwYrrOeCvyNlPQyWcmRCmFY2+jDtZJL4GRXdhGwkUIw+vtxLT7SNaUMzCxELCnghgE3XnUegrIlpeTlttrot2Oh2kP1KJHvBghP0E/A0kU0MLOLbqobe/mv5UiWPZUpxV/qAZxNYjGL6hUhtt0QpMr4dUYiWoKsmiZRASqB4fZmEVjXPPIq0Mi8VRc92q+t0B+k03HYEBZUPNSXxhp32j1vtRbBtV1QnNX4ErksBWdby6F5QhiwWKDnYxKBqHS1ahAK4s1+X+dAXloQqUutU5x/boXuLeOOkiR/ntjmT3j0G3UkNfqoykGcbO/N6esgRGwlG2vJHFI1wVczwQMmNj/1gKqM+DpziPgcljjzsEZhTVGyeYmAdA0BUetBQ2Fa0gGW0CRaEr0jR4nHCkHF/JElAUDLVicHtvf/VQexSVtmAhXUYIt+6iwF+Apqgoiou0PawNmfV0v9uZ2Cez4+5sJ8NeOiuhSEOsnvJQOeD8JrZtOgoR0KuNnq5dyUxF02nn3M61r5DSDPoN92CChQGMrHlGe6QcV+lQYXuP7kZUz8ftTwxmfDQiAVzF+YBNyB3G6/Hj1txUhCqIeXOtcEommUXYHclxZQUn7ss5pqPUw9BUXyFI3BunLFhOZfU6UEDPq6awfBUAXsOL5vdghPyYMcc9zlANFMVAxZeJ1bIxVN1J0JI5sMcVJuqLOUkqbDXTWwrt7lCOhUlVFGLuQlA0bEWjxVeIb84SNK8HzW3ii+Tek6loNT2GBzMWpKSgimBeHoanAFXRQdUx88swQv6RlvXQAvqS5biiS9B1H3YgiCeQQCd/xOKKaWaulcy9WeQrIho/BwBN8+Dzl1G10EkoktIMFHeCrkQx5bG6zPecTkh4HWW1xxulx/BMekbBE1Wwlgghns68nsn6+xkhxNPjfO9+4BoAIcRCYK9lWe1Zn38Z+KplWceI4Jec6vSmevnSI2/iEt8Bene4WHWwB11T4YZfgGfm1LqYiawuXc0Hl/4Trw/5OeR3U7/nEV742XsBuP+RR3m+p4Al2kEqIyVUL5q5hYUB7nh8O5QHqGtLMa95A/7Vq4/5nddC5ZUfZ662nSXaK+zS03z9Z3+nryc5oec4GaI+k7MvqaFuXy/nH0zyw8uu4b477ybd0zPdop0OuIQQ5UBSCFEH9AJimmUal1BePpovhK6OdN9x3L8U8r0JEr4EZ5YuJ+aLUxmqoChQRCxeS6DWuX8GAuL3hwo5khUjVRxwFAbNW4uq5lo8wnOuRdE13FoYTyCI4XaR9DvZ+kzdREssY2e4iYMFS7BdxeAtRzcKKQssGkoaoapkTxrBUQ5KIgtYkLeAxpijsPV6wpTEBImqGkoWLONAzQoOFw5N7jWvm5A7jEf34M+4Ch71xMkvWotuZtZoFTD0eg7lV5AyTCemSzFJBArxZSW/SNsejnijhMOV2Laeo3C5XGGKqs7GGwyRFymkJjIfZVBBU0hnXMlSupvCQBm6bmKYJnqsDD2Sj9/0oRvDLEdKJgGDL8b+ohq6fSG8sQjxiCO3GSvFVVCCokBDrIEFjSvQdQP0GJiF6EYMm2FxQIpKWnXGxbKAo4h1RCqIZk3qDd2RQ/M4faFRAUBn0EnSYRsxwp78zM80+tQvnXEhixaVAAp55RU4+eYUslWAwbZmEjq0uvJR7DxMLTMRVlXSigbYFOU3YXtD9JjOgoEnkLGG2EbO0fozyk9zoJq0ZlK24hISldXEikrwR2KESiohEqN81a20eIpzDCmqplEeqiAyaGnKpO/3RDncuAizOJ8D4SKwbSrq5qCGSkmlQzmZHJMuP6onTtocSmoSixbSEa3KOo+KauhZFgVHiLArnKNERT1x3IkzAQiZISoqFtJVWInmMtENA83MbfvQ4XQUAvgMH6FAMWQUSsUVxMgobKqiogSDqIY22Ae6EkdXnCQ2fsNPdbgSn+HLPYOiYOghqmqvIFRyDT2xeeStvYlQtIyouywnPs5v+nMS4KQ9QfIrllFeUIuakSmd9jGnchFF1fNpK6+luawRdf4F2EX1ULZsqM/cJnpo7DldvytKYuXt1JZdw+JF56Ap+ehBH32Z6yVVuRo7WgFASaCYIn8RmqYTyslsmfW8QcE2S6iLCoKuIGnfIgAK/Am8eiOqEhhckJ6pFqy5wLWZ1zVZf1+T+X9ULMt6AnhOCPEE8A3gXUKItwghrhRCeIGbgFuFEA9nXredoHySGUzaTvPFR9/GOfpLJPe7OHN7Dx664A2/hLy66RbvlOCmxptY13ADb4hF6XLp1G37EX+/+wt84oFmwkoXCzt9nHFpFeoMtl7tPdrNvc1HaPFr3LBxG7Gbrpn4WDFfjIsvWEudeoBSo5N7U13c96utE3uOk+QNZ5bzl7jBxzZ2U5qGT667EevH/zvdYp0O/CuwBMdF8F5gJ3D3tEp0DDTdIBjPo7TuXHImDVkjtaqoeHQPEXcUFAWv4cNQDTyGH2+wiLRnyC3OzM9dbS7xD0tM4BpauY6EK6gqW4umaqRdPrxGkKArSNgTpsBXgCdQhq1oaF4vHZFaUE1UbxC37kHzeTAjgTGt5aYZHby3CzLxRTFPDFXV8IUjTpzIsLglBYh78wZdr3q8yymc9wYq57yV/GB1ZrtCytWIrfkxwwHChSV43D5Mb2Qo6xrQ6Q6CN0EqlUcqlUcyU0Q5Hj+XUHgOkYIibG8ANVSFX6tF80QImEF6k0MLHUFfDQDhRAWKJ4YrL4I445zBAHtb85FMJtAVp49NzaQ4XA0omIaboM+ZEKp+Jy7H7fHTdOYqoiUNiIigLFhOU/4ZjjIzrC9MM0FLbAFHI+U5LlrxojKMTFxanifuKNAAikrYFSZoBvBkJTwwVANN8w6u3Gc/b9Us65EnEGT45NOVsaiWhcrxR53rKuFL4NbcoCh49Bim4fy2qqailxRwsGQO6cIa+ksXcnggbkxR0H1DMumeIaugS3fRpZSwv2wppi9EXmINbn+AeHE95y1ex5rSNRRUn4G7dMgRKml4SOpeIq4wPsNL3BMHVcG2TSrnXYoenZtx/3RcrcKeKKrpRbVHJoaJuCM0FawEuwxPVkrz9kh5zn6GaeKPxCioWDy4TckkXrH1OJFgU5aiDrphkIrF8RbmEYznD/a/qg4pHsksq01bYgXm/CtHyBdKFODy+umsWU6f6SFYsgjHrTWMgoZmmATzEvgz13dfqhBQsO1MVktFJRBdhO0tJumK4tU9lFbWE6+sIm3nLup0hJ1rKZUO0J/qw1R1555SFKKeCGXBcoLxfLzBMHpoSNFPhRJgDEtsM2o2RGebW3ej626qonNxebw0rLwIosuGrj5FIZ1wLN8aGoY6SnylZmLb9mBsKIqKV3csVKGM23XIDKEpETROLFvriXBCfliWZe040RNalvUvwzZtzHp//BUSJacktm3z33/9IItSj8NRk0UvdBI1O1Cu+18oPWO6xTtlUBSFj5zxEdp627jNvpvvNx+gbMOXcaU+xyKtnYr8s6hZPLOtVz/56w485X4CPWnO3fgwoX/52qScJ3rm9ax57j207N/G77S5fO357SxZVkhh9cyoBq+qCte/cS7NX1vPR5/v4b0Lfbz3kJ+7DxzAkz+zf8OZjGVZDw68F0KcAxywLGtGmwZVzY3pKUFpvAJlw3fwR6K0tnTQ2zOQ7W3oXxiYIOd66Kc9QeJFC2g98jya2yDbXmsP9+b3515f/vI5HMBF2NWBgsKSyjdht/+SQ62HcvbrDiToDiQojxfi90TZ/ZQbnSRtvjh0DW+VAp4wdB8F3UXCm0DXDfKyEjnURmrJ9+bzyquPA1AScJSUYONKunb0QE8PA9MVM7+B4CtBDrMPgMb4Ql462gG04fYF6G7fT9pw49E9BFwBOvqdOnh9njw8pfn0HW3Hdsdz0mvn5Z0HeRfSduAQ7Z0GSsqH2r4302m5fZbtVmSYIQKBRvp5kpQ3iqsQlC4Fl9qAoupO4H0m5bTmD1G7cBlFdjf7OvdRKzJWtoK5mIdecmpsFS5w2hgNQqb2eKH3TIrzG2j1JDCSUVyqF5skoNBXbtOpp/Ec7EPpUgaLK9uql4LqIpS9zfjKqzi0dX2WzBFGS40klq3Eevj3WQ1VMlYMp/2mWkZX/z6aVqzl0CvttKb24zK99Ka6WJBYgGdfbn4zVzxCOm6CouYoG4NyxIL0H05hqGHcxS7ccRf5nV7as+7QwYyLto2hGRiaQSqdwsxK/90eG7Iw2ZnJe6pxPr2GB1/eYugZqoPYE6gC1UB1m3jD+ajpFtK2E/OqK4Vg25QHy+ktv4R2ewN+QFNCJF2g92V3jUpJ4zxsVWP//r2D2+fE59CV7MJvZJIo6M5ih9ddSCziImx6oMX5LaLR5RxkA3DEkd3lwR4UNesaUw360/3QcDnmlt8SLy1jRdUF7PZ04tE9uM39BA7ZtO5vJl5SiqJqpDtdoCgcdRfRn/JS7q/N6tNhiyCGG0Xtd/rHcGOknM2doWJgK7btwecpgM62wSMEzGAmGYdD2l2N2vV3ANRM2vvhhbQVO4KCk2jKZ3jp0XUWJBYwJnY642Y8Mv4vlJ/AlYqAchRS/RAqgf60496baZ7bU0wq2UVDuIG/HfwbLm0ottnUTDyGh9po7YhjTySykK9kSvn5hs9Q0XkPWrvJ/PXt5BvtKNf+EOounG7RTjk0VeMzKz9DpGwt74lWk0pr/ML978ztPcLyq+tmdOxVT3+KH23eS0vMxXUvtxK7ZCmKOUlF/xSF5W/8KLVaM2fpr7LNSPPlH2wg2Z+anPOdAHUFQQ7MjbG4JcU7jthsqq7jk/eOl5BVMhZCiLVCiIcy7zUhxIPAn4C/CSFmbm1FV4Bg+WW4664G3UVSnIfp9hDMryNtB4h749THsj0ch+5vl3fIChCNLicQLANv+fFHR2eIl5ZTv+wc3O48QqHFmGYMlysPJRNLlT2xPaPwDKLuKN5gCFsLoKoqi5e+d/BzX8a1L+1pgIpVUH0u1F+GGqshrzb3Z6iN1OYkEigNOm5weul8gme9h75kJhnEKAH2ATOAbRTg8YnBWA1bM2grXE0wVDvUT4oKmooZCVG9+Az0rOeNpnnRtIFVfjeqEsTUCgm4gllnGpigKdRF6qgOVw9+t6fmLMrmXElDgZMgQVNCuFyJwfMeqphLb/lCdNMk5ApRHx2jfle8BkVRMGKhwayEaqag8pzYHLxGEZoSzriExVBcIRJFc/AFwmiqhoJCR3Q+trsWrWQR7vxiDFfWurXiJKzoLKihxxOgZFhGuEhhMd5gCGwbn7cG3QigZlb8g2aYYl8dYXeYgQvLZQwpyV2RJpJxxwW00DdQc00d7KMsIQY6FNBA1VAMHcXtuKMW+gsGXRjH82gYzHaXvc0fg8rFtMer6A4XZR1DoTivHFekEdvnWN/c8QiFtUP3k6ZECeU77YlUzSVS5vy+plKP6XLTXCwyacUHmqaNkE9V1EHlymm3m3B4MaYRob7oAtxZNbds26awpg53aT5t0QqCJYsIu8JOhrsshbQx1sj8utdBVvyYqZkUxZ0MnJph4A9HKRaN6KYLu3wlKBptBavoMsPYeFAUfcRCgT6Qac/lo6dqNXtD1RwavuBSX8Y5q6924hNH8aqLxdYQjS4H1Y2dcWuOhB3XSF3VmRufO7hY4vUUoyjOPnFPHpfOG2mhA9AVnTxvHi0lF9ARWwKuwIh+9oejlDbNy1W+MvKlbee5Ew4tJhY7m6g7yqqSVblusYpCvjefmH9yPaakgiWZMv6w5VsED9+B1mky7+k2Eq4ulOt+BA2XTbdopyyGZvDVNV9l45G3cWv/B8lTjvKGyLdQ+l6YbtHG5Z4Ne+kp9OBJ2lz+zGNEr79uUs+nhQq5fO1yqtRDVOgd/Lavk/t+PbNcBa94fSOvmnDx+h6u2rODH5XVcteGmf07zlA+g1PIHuAqIAg0AGcCH50uoY6JokDxYsjUmVEUjd6KhSQq11DkK8Jn+HBnFSkdPvf0+wWR6PKc5BhO0P/AhHYMbSsxB2qGgvtVTSMaXYHLlZt91LYV3IWOK1DME3NcsXCC7gMLbqZi2afRVBeVoUrqow3UhB2XupCnEHQTvNFMGxfBGPWd0urIGkS6HsAe5r6UPckLuUMsSCxiXvEFKCgEAo0UFF4AQFd0Dkr5ueR7s9qigukZo2ivoqAoKgWFoMPCrAAAIABJREFU56JqXseqBKQM92ACkv7S+fjEZYioyPmeoRp4jaHjusyRhU1fE8exPhaNLqc4tpL6aMOQZUL1OhPPvDr6SucCUBOpQUQE1F9GINBI0hPkSLyEgXpRwZjTP/nllUQKHdcwXfcRi6zIySA4aCHLzGaDoUXUzbmZeGk5SXecVNBxpcv35qOrGughgoH5BAKNmJEgRjiAx11K2ixBydR0Ug0dERFUhCoAiHviXFQxfB1k5LWbtgOoSta1rhrUL7qR8kW35dwcmqKRdpWRKK6hZulZqJmkL/ZwCws6Lp+jHOWVV+L2O+6z4qyV1My9Bjt7gi4uHkXZH4PaC6BqDW5X7vXQ27sPVTcx3QE6w6WomkFB0YqMi2iW62bTlaglr8G7Z5iSNHSsoWOW1DdRMX/R0D7uACnVyCh2CindUVI0t4uC2IBbsY3PN7RgoaBgGEFMc4xytfWXopeeQZ4nj8aqCym74uN4S2pJmj7cPn+OC2+uuApLEktIusO05glswOMZctFMu7Nc/AZcNzOZRT3qYpJ2bmbO4QxcSYZSjjFGKYKJQqZqk0wJf7K+S3rPVzA7dBY9fYSoqxfluh9L5WoCuHfDPg60llCh7+AB43wu6Luf9G+vpFn7HQWNM8/tMp22+dazO+gUPm56pYfi5SUnV1j4OCld+XrO3vxR2ve8wm+VuXzxmVdZclYRifLJfcgeL4auUXatQPupxdIdQbakXuWDfcXM6eyhxjd6sVbJqHRblrUt8/5i4CeWZaWBFiFE/zTK9Zrw+aqx7X58/nran3+OdCpF+dwFvLjxmcwew2JkzDiYcYhHYL9TkiCt+1GVzszeY0wI8+tH3z6AJ0y0qIQeXxTUZlRFZWnB0pxdajKuPsm+PkLuELpu4PcVs6BcEPNXj3bUUTlatoRqbwG65kyiNM0FqZGt9bhLsFM70Ihi2zZFWanpNc1DIFxI/bJK2g4dJN5fwM5td+HxFNNxnAtPNjZur5/uzm7UTE0tu+ESelr+issbA9/QpNLOVlzLV9C723Gl8niKCcfWku5OAkfQ9dHTYg9nsOitWUYy1Ymdqcs1MOEvFg0c3LGdSGExmubF6y0H33Y0TxB/0AsM+djF42vp6zuAN9UCAUfRVYFAdA3p/ifQ9DB1Z9blxF+NRsoMovW1DW3INFlVVQLRPPq6spwO8+ph34aMtcfG7SmBdA/1FfOhpwOvuwDUfaQiIVyqiuH14TW85Hvz2c42chlPiVHQlWI86hJseonHzh20QmajKioYecTiqzBNN10FcznStg2fPx/YT6KiiqM7PTnKWjaaruPRi0l76rGNI45EoygHgUDTiG0AZBWFVrKUOpe7CBrn0EiaOjvt1F/L66fjwAPDBMhSBEuWwvD6cGMkLBlB1nUaiMVHfpzp60OxJtzBhZQE4oP3VSi0kK6+JPqBA6S8LmAoN93Q9eookIPWSsMD4QroOoIr0QSqRrJ4Lu39/QyMZonKGg7vHhlxlG2xcumuHBfTvtK5GUUPZ3EoryGTWbMXRTE4lt0oWljEgb37xt1nopAKlmTS+fOL/03f7i/ha1NYsr4Ftwm88Vc5q6aSE+NwRy+funsjBUonTXYHGzwXsyv+LLfsbeHoXZfRrPyOgoaZpWQ9+OIBdoQ1PCm44amniP7n1OWyOefNH2P7lz/GwbSPv1DNx7/3HN/+5Go0bWYY88vn5vN86W7O3tWBvvMQt0fj3Pz0Zu5dtQCfNv4kSDKIWwihAm6ctOyfz/ps6iKcTxJF0UZM2gxXrqKt6s4Qrum5rkvMuYp921ygqiS8W+jsP4LH8NDbfwIhaBWrcBe2UeTy8+LO/RiakZMKPZuBGm6KqhIINHB8KsUQa6udBTfbtjHNuLM63j2yHKaqmuAWKIpKX3cXbt/In1VRVUL5CSBBrPBDKChseOhP454/Wwn1hSO4w1E2uZ1Ju62qmYncOJP+YCG9wSGFUlE0x6KUPjJqHNJoDFrBVB3bNmiPL4X6FeiGScMKJ0tkMD7MSlG1moJwKexZj7u/hdbMZl33oeuV4M2tLVgaKKe9r5O6SB1a9gRez1xfwZG11Ey3m75MdlMlkylxVCtOvMZ5bb8f0kkn+YPmxqN5CC54KxzYTWusGr2/G9PVmvXFzEQ9x1o1kIwj14qW580j4s1zchsqOrruHlW5ymbguF5XAFF5LnmePDpanwUO4fUm6O0eETyYi+bH1kIo6dw1mkTiUkBBOfjr8b8PJPIvpu3lp0mRRFVMUFVUVAadVTWDtD6GdRWGLDZZpL1hCDZC8yaIVuX8Jj7TSyruge6hZ8VYpNNB0mo/ixbdhNvtxxceSsChaV4CBauhAOzmewjF80n1DlP09CgFBZfkblNVKFmcc5xsokXFRIuKGY+BWK5k3Tmk+o5mDptVk0sbSGAytj/0gMKm6TqhRIwDeyc7f6DDzJhVSE5bHnnx6/Tt+RL+FoVlG46gaTq89V5UqVxNCLf/5lna+hXONHaSl67jfW9/I+0L3833i6KE+3sxf3MZO5+bObE8tm3zhSe20VPg4frtvRQviqF6xxlQJhjN7ePqN7yVBm0fDdoBHujt4o6f/H3Kzn88zLmhAVVRcHdU8dG7f85WW+GftuzMXSmXjMePgeeAZ4E/WpZlCSFcQogfAo9Or2gTiYLHH6Cgpp5QojAnRkNRFFBVCv2FuLQK/GYATRt9hf6Y6Cb44oNKlc8Y29o8kH46XlZxYufKoCjKoOuRruqYsWCm1k9mWjTnaroiTk2n7Pizwcnl8NgYVRvMMJadHW5MMrealm3ZGSO1s9tdgMdTSiCQW6B26ORuQMXvP4alMEPcE2dxYjFNsSanDpSqj8zKNg4L8xdyYcX4Mc2aqjE3by6GNswlU3dBw+sgkVHsvTGic1ZRsOaNxErKSVQ6ymPQexYe9YzBnggXFOIPRzLp3R0G+llTNVTVpKDgdXhjC6HhcrqCI90nTTOGPxIjVjSkDBpGCL9fEAotytl3acHSweOXNc2jMlMDaTyyJ+DF/mJMzSQSOYv8/Itz9nqtKIp23MozQF/1MnrLF77m8wwnZzyI18Ccq6BoAbphUFjjuK+qqLjyo1SddRbaMRbo/HVllDZeQKygNEe5Go7PV4M/GqNUOFbsgXtyLJe/bLyeOjQllLE0vTaieefiDtaM+fmQi+zoqlNBdS0V8xaO7So9CUgLlmTSuO9v/45y4IeE9tmcsfUw7XYA99vvwyhuPPaXJcfkoRcPcNfmoyzU9pHo83PBtctxe0w+sOQD/MxfyPce+xi37DmM9sdr2Nb5XapXrZtukXli22G2+hV8/Wmuf249sa+8ZcpliFTOZ90ai86HX+RAOshXNu9i4bN5LF5SeOwvTwFG1EPognKW3beDX7qX8tbf/orvv+46Gnce4B/LR6YWluRiWdZ/CSF+D4Qsy9qU2dYrhHgUuGN6pTsxdNNFX3dXRklQML1DSkKgvAl8rhGr22vL12KoBtbWNnQtnmMFOJECm6ZmsjixmKg7OuY+qqoNWlkmipArxPLFFxFzZZ1XUQgnCjl6oBnTffyKY0OsYfyJ4DhxNaYZQ9M8+IcFxiuKRig0NGF2eby51hBFwwgtG0p6cRyEXSHQTAzNIFw60moxKpmJo4o6WD/phNCzkg0pCp76Nc77uvNRBxUyJ1ZtQGnVdMNJOpDF0oKltPa2jmntHK7M+P0NVDeUoev+YdtHL12X1lwkXdFxlQHs8a91ZYwMh6NxRuEZ7Nzx1HHtOyIOKgu3v5KO9i1jWtyqFy1FOQ5vBXUci104UcC+l61jy5nBb/rRvG6K8iqOuW8g0IjXW5mzYNMUbxqMyRwPRdFwqQ343a+91qmq6qjq2G12+XzEikvx9hwd9fNIgWOV7emHWFEJHvfxuy6fKFLBkkw4tm1z17PvItj2RwpfTtK4r5V9/TF87/wj7mJZ52oiaOns48O/eIY8pY252gHqE+dRvWgokPuG+hv4szfBtx98O7ftOoD26C1sbm2m6fJ/mEap4fYnX6GnxMM7rW5Kzi6aUutVNo3nXMeFe79Ep7WVP9hNvPP/NnBPWZBE/uTHgh0P0dWl7Np4kAubq3h+6zOc8+yTfIazqPW5uTArk5tkdEYrJWJZ1vemQ5aJIFpcQl93F7ppkqisRtWHTQrjI1d2XZkJWM2SM0n1O8naB1a9T0TBAqfu0XRQ6B+5+FFQXUteRdVQ7RsY08o0gFsb3xLkDTn3VihRCLu2QLgMepsBxy0pL+/8Y8paPm8ByT4np3fUHSXPm0dDtGH8L3kiEMiy6mQSnVSsvNyRYSbgHVJwB6yG5jjPb7fuxq0f2/KmKArk1aMoygjlajyi59xGb9cx3PqyLoPxPACK6ho4tHvH2MlPcCyLneWrOLr9YRglGcsg9ZeCNnZGXL+vFp+3KmfBI5vxZMjGlcmYqYwny6iM7IegGeS88vOcOLDjYLg1vDx4fIsAmuHIerxtfC0oikJ+RRWr+uKk0+lx93X7AwSCx1YITxbpIiiZUFKpPn71+DqiLffSsKmHxn2t/L2zAvPtfyJYIpWricC2bT76q+dp6U5xlrGTaG8NF7550YhUpueWncvKy+7kG1WlmKSo3vARnvz2+0klpyfO/2HrAC8GoagrxfUbnyNy/eXTIscAZ9/wAVbnd7La2MoBUrzlm0/SP0NStyuqQuH19QRVBVfNlbzt7jsRe3fxzs3b2dIxWhUbyemMpul4/E6wfCS2IJM2/fisFIbLjdvvTFwHav5MeEHvaUBRVXRjjMnlCbbPdHtoWLEabzgKjVdA0Wt35dJ0Y1AB0VSNpQVLndTb41GzdsgtD5xEBnOvOTHlagp+2lB+gsoFiwlET3yS2pOlsBGtHHvHMfCFI2PG71xYcSErS1bmupWOg9vvp6S+6Zj7lletZf65t4+fWMLwHNOCeLz37rGIRM4kHlszIcc6XuXqZPD4A5Q2ziW/ourYO58gQTOYKSUw/UgFSzJhtHbu5lePnE3pkQ0sXN9F4mgXj7QuoOj9vydWPvnm2NnC/z23mz9uOcQibQ+FfR4uufocfKHRTefz8uZx3br7+IpoBA2WHriDJz+/jo4jLVMqczpt809PvUJP0OTdm1spvGHxcblBTCaKqnL52z/BytAhlhvb2dLXy63/+QTp9MyIdTIKfIQvqWKZ4mLDotv4t29+AW9HOzdu3Maunr5jH0By+uAbmsh6vZUUFLzuNcV9DODJpEcfSD9++jGB965mgKLkZCiUDDFaYpHXQp8nzL7KFTDnmpGZ8U4STdUIms6CRNjlTLaHF76dcGrWQu2xLZwTicuVOPHYymnCH4nmWp2nnKkb36WCJZkQrL1/4OEn1jJnzy6WrG9D60zzh/ZzmP/PP88JfJWcHFv3t/PJuzZRrBylSTnCvMrl1C4d322n2F/Me9Y9wNcXnk+7R2NF/2O89I3VvPLc01MkNfzouV0czDdY1JLkvH3PE1i1bMrOPR66YXDDuz7OecFdLNB288ihNm771pOkZoiS5V9RhKcpxjW+Qh4VV/G5r9xOe2cXr9/wMgf7TpmM45KTpeJsEJcce79jEDSDrCldQ1Vo8laQp5VjuAieCAvyF3BJ1cn3/aQzkOTEmB636xPh3LJzc4suTwKNsUaWFy3PqVE2KXgig66dM5JIpWNZCw3NxyKRZfgDx3BfPc3QMiUg1ClQTKWCJTkpbDvFQxv/mb2b3sWSF47QtK2TXe0h7ldfz9p/+wHhgpmROOB0oK2nn7f98CnUZC/LjR2Uagu54M0LjssFwmt4+dBFP+f/Vr2X7REXi9I7Uf94FQ995wv095xA6ubXQHdfii+/uo+UofKhJ7ZQ8JE3Ter5Xiumx8sb3v1JLg/tYIG2hwf2HOEd33mK/tT4ftxTgaIoRK6tw4i6ubH0TF4KL+CzX/s0ezu7uWHjNlozsTWS0xxVA3NiJoiTPtGcTgaseqeBC+RrJlQCZWc5dahOEdy6e9LdVVVFnTEuY1NJQVUNgQpHmVJQnHpcTVfmWAtdrjz8AzWlZglebyXR6PIRhZ8nA6lgSU6Yo+0Wdz+8gvwXfsJZz7ZScKSfh5qrsKrew+Uf/wre4AxezTnFSKdt3vez59nZ0s0q8xWKuyq46h2rMN3Hn6dGVVRuO/MTbLn0uzxUGKS8v52lhz7Pvbdfw/ZNz0+a7O97YAsH81zcYrWxYIkXI3/sDEvThcvj5Y3v/lfWRXaxUN/N/dsPc/1//oW2num3Eqlunfhb5+AxVS6bdwWHKeBT3/wCL7Z18fqN2zgilSyJxKFqNeQ35BZnzaZm7eldfzFUMjuVS8kIIoXFLK5bQWmglMgJZO07XXFKQEx+gguQCpbkBEilenluy+387eELWbnhZZqsDlo7ffx811Lyrv8iF73zA+jm5AdMzib+494t/Nk6yFJ9F1WdcV73xvOJFJyY3/olNVdQet1DfKOuBt1Oc6n5F/bffT2/++pn6WgZWdTzZHj81RYeUnsRrUnetPE+ItdfNaHHn0hcHg9vfN8nuaGoheX6qzy/v51LPv9ndhzunG7RMOIeYm9uwpe0WXv2zXSm8vjUt7/M5qMdXLV+q3QXlEjAcdFKNI39uSfivCTTypKCJSxOLD72jtOI13fqu9H6TT9z8+aOkypfMpnIXpccN7Zts2//H/jLn5ZS8Mg3WPHcEQKt8Kd9NTzquoFLPn0Hc9acN91innb810Mv8Z2/vEq9tp9FPW4uveoCqhbkHfuL41ATqeGWax/lK0uvZlfA5MxUM8v6v8q9n7uav9758wlxG+zo6uPj67fRq6t87Pe/o/zT75/x2ct0Xeeaf/hnbmoyOd+0ONDdy4Vfepg7nxyR9XvKcZUFid3UiLcrxaXL3kSvUcXnvvE5Xmlt59KnX8TqnFxXT4lEIpkI8r3505by/3gJBuZQUPC66RZDMiozI0b6WEgFS3JMbNvm0OGHeebBVaTueitnP7WDRHMfG48U8+Ody8m/5tNc+4n/IFI4espUyYnzjQde5Av3baVCbeGcbp0Lzj+HxhUTk9XKZ/j4yPnf5flLv833SvII9PVztf95gq/+Mz/9yA1suP8PJ5zS3U6m+fCvN7IlavD+Bx5jxS0Xo+ednFI4VaiqykU33MY/XtjEOvNvBOjkg3f/nbf95+O0HJ1eJcZdGyF+61yMZJrX1V6M1nAl//G1z9F2uIVLn3qBPx9um1b5JBKJRCKRyELDknFIpbpo3vtrWtd/jcT27ZxxpJ8kCn9vK+apA6VUnH0p1197I/7o6Zryd/pIpW0+ceez/PS5A1Soh7m0S+fSdWfRuOa11wsZD0VRuFJczZ7is/jIQ+/nja88wsIjR6mOP8Tfn/8bP7lvEXPPexNzzz0fw3XsopEAqY4+vvbLjfy60uDyjVt4y7IyfGedOaFyTwVzV17EhyobSNzxfR7qLuVPe23++rkHeeecUm6+phGXZ3oen67yIPnvXsjhn2zh7N1lHD77/Xzie9/nW9es40YU3p0I8eGGSnR1ZlsLJRKJRCIZjYZYw2Cq/VMVqWBJcrBtm472Fziy5f+h/P035De3U9xv065oPH6knE0HCyiYv4Kr3v8W4qXHV71b8to43NHLLd99hA37+6lXD3Fxp5crb15O2fzJsxAW+4v54mU/5xfWL/jBXz/HBw7tY3HHQeZG7mfb35/iNw/WU7b8ZhZccOlg0dLR6Nvdzo/ueYGvCJOl27bzqWiS8BVXTJrck01+cTnv+tBHqPjpf/PnHUd4sq+Cz2/exf9t2sstTcVcekk14fypz8qmh93kv2MBHY/tQXlgB2fPvZXYs6/w8z1P8PWzVvDwjsf55ooF1IVOrlaNRCKRSCRTTWVoYheTpwOpYEkA6Op6lcMv/5j0335JbM9eyrpSpBR4KR3kpT1FvNqZR+2y1Vz1vqtIVMqiwZOBbdv87HGLT//hJXrSCis5xGW2j4s/ehGhRGDSz68qKjfU38CFFRfyjfVf59AL/8u72lupbz1Kg/+vHLHWs2nTp+jLW0fdJbeQn3Ud2Kk07Q/t4scv7OWzTW4ad2znq2EoumZmpWQ/EdxuN1ff8n4a1j9Jye/uZX1vAX+jmI9t2cnPNu3huop8zr2wkuK68JTGmCmaQmB1CZ65cdr+vJOm9TafarOZ89g2/ntxEec+/SK39bbywbUr8HmOz/ookUgkEonk5FFs+9QIFgMQQlQArz744IOUlMjitSdDOt3LkSNP07H156gvPUik+QD+rhQAezQPmw8k2HqoACWcz9xV5zFv7UWE8md2UOqpzAObtnP7bzawo9sgpnRxSV8X1y1N0HTdhajT5Oq1s20n3974bTZvu5ub+1pZ3dpDuNOJyepSNA7qhegVFxGpuIyDT5p8LWbwswqTeS+/xHfm11JxxsJpkXsy6ezs5OF7fsrjLzazOZng76ki0rZKfb/G2mCAi8+rQJxZgG5oUy5bsqWHjsf30P5sMy22zRer0zxQFiTa1so7e49y8zkr8OZNTXraiWb37t2sXbsWoNKyrO1TeW4hxNXA54HdmU1/sizrM8P2qUCOTRKJRDJptLdvprNzG4FAIz5fzXSLA4w/NkkFa5aQTvfT3vECR7ffS/LlP+I+YBFr6cHdl8YG9ileXm7JwzqcT0cgRvX8pSxadRHF9Y0oqsyFMhl09/Zzx33P8b9P72F30o2XPs5It3FTXpLlb70Cd3xmTIb3d+7nly/9krte/g213bu5KtnDvK4eoq19mP3O86NHMdkUqKM5WcA5q64gULsiUzn+9Lx29u/fzwN3/4wNe7p4MRnnpVSCXnTiKYUFmFy+pIS1F1bgD0+95Sjdl6Lr+QM0P7yTLXaKb9YabIwaRDs6WLdrKzfVllG3Yhmq99QpODvNCtabgYhlWV8bZ58K5NgkkUgkk0Yy2c6hQw8Rj69F10+sTM1EM97YJF0ETzP6urtoPbCflgMWbc2PYh9+Bl/vdiLJNsLtfZT3pJ39FJU9/QE2t+SxRS/ALK6g4fwzue6MC6WlahI51NLKnfc9xr0vtrG510c/GkFgFQd5a4nN8usvxRWfWYV4E74E7yi7lbdFb2Lbti20PPsir7YF+VlVL09Hugn2HWVZ23rOa/8Li7s3o/3xAfgjpHUPSuFclMIFUDAXCuY5RUB113Q36aRJJBLceNv7WNvczBN/vpf1L23k5WSM7UqEB+wQDzy/jdBz22jyqSyszWfZolKqCgLkB1zo2uQqnaqp4T+zkOozCija0Ubi/lfY+koHd5W5uaN+Ad9XFJrufIQ1h/ewsiyfpQvn4quomPEp9KeRyffPlUgkEsm46HrglEqdP+UKlhDiq8BZOIns32tZ1jNZn50HfBZIAX+wLOv2qZZvptPT0cah3RaHd/yd9gMvkDz6CmrPfjzpIwToJKD04qOPyv7UoHUBoEvV2KV6scx89kUFesUSqivmcU7lci5zyUD4iSadTnNo3y7Wb9rCsy/tZ3NLmpf7/ByyPdgouPBSTTurPN286dwaSpZfgaLNrPUOO5nklb3NPLBxF+27FFoNhd1ejZfFHLYGHVn9bUfI0zbREzvANjNIXYGPKrOLSF8/gY4k/tb1BPY8g552rsW0otAVyCMZKUOJCrRYDXq0GlewBMUXB18czJmxMnU8FBQUcNUb3spFXV28sHkzf1v/Vzbv2cHudJB96SDPdwd5YlMz39rUDICKTcxUKIm4KYwHiQc9xP0u4n4XMb+Zee/87zW1k1J6FEXBWxHijNsWsrgvRf0jO3hx435e9MAjhfl8q6SQbwGul1uofXIrlb1d1Pp0KvIiFJUUU1yUIOF24Z1khfAUwA9cIoS4BFCAD1mWtXGaZZJIJBLJDGZKZ3RCiNVArWVZy4QQjcAdQHb+5q8DFwJ7gMeEEHdalvXCRMuRSvWQTLYCYGODbZNduMwe/Nt5DblROn/3pfrY27GHtG2TtpOk7TQpO4Vtp0nbqaHt6TRp0th2mmS6j2Sqh3RfO+XWY2i9HZDuh2Q/dHWj2CmwU6jpFGo6iZFKYaSTzstOo6fT6HYaM21TAozmhJJSodPQaTdc7AsFaY9U0F96Ft7S5eTnNVHtTSDUmTWJP1VofnkTW1+ySKeSpFIp0qkkvf1JHt7vYu9Rhd6kTZ9t05nW6LB1Om2dTlzYKEAcjTQJelihHeGMuMnV5y+iqKlmRlgNNu0+yj3fv4slj92D1teLnuzD3dNJoLOVz7/5H/jTmWdDA6jpNMH2TsyOXub1+Ti3JME/nNlI2HsO8F56kj1sa93GtpatvLD9GZLpF3Bp+wnG24mb3UTtHgJdSfxdR/EcPIxn17No6ZHy9CsK/apKv6KSVFVUw4tpBkHTQdFBUekoO4P2ihUoaICKogzEPNnopkkwL9cKaGfub10PEPDXT3gfer1elixdypKlS+np6WHHjh3seOVlmne8zLb9HexNeuiwXXTaJp1Jk70HXLyy/yjdGPQxeryWS7UJew0iHp2YzyDiNXEbKqoCmqKgKaCpCmBTn+9heXmAdDqNbduk02k0TaO8vBxVVdFMjcXnV7H4/Cq6epKc9+Qutr54iH09nTSHXGwPRXkiGue3rowytfuo8wLc/Ul8ySS+VBpvOvOywWfb+NI2AU0hpGu4PR68sTiuNLhsMG1Q09CoG9TNS6CaUx+X9loRQtwK3Dps82+AT1qW9ZAQ4mzgx8C8KRdOIpFIJKcMUz3bXgvcBWBZ1gtCiIgQImhZVpsQogposSxrF4AQ4veZ/bMVLA2gubn5pIRYv/4Genr3ntQxThRXTwr3C21o6Yy6pgy8FGcKqEBSVejVFNKKQlJRSCkGSUUlqWv0qzr9poeUKwi+fFyRUvyhWkLxBbiDVYMT9gC5fi32UZvmoyfXb7OW1j08ese/sZ6mwU0qabptjfv6GulHQyeNio2LfnwkKVTTxHSbiqBOU2mC+QsEkTzJntolAAAgAElEQVTf4O9jA3v27JmmBuXy8qst7G5uprynm7RukPIFSUYL6A9HWXLgKA3rn8ddVkFpIkpVXSH5AddgOzpaDtDRMnSsECEWeZZAwxJoGNre39ND855X2LZ7E2292+g19pHWWnGl2vGnu3CrvbjVFC6SmOk0mm2j2TZq2kbt7ULr6iJzh6DYcDC1i+bu359Qexcs+CFeT8WJdtdx4fP5aJw7n8a58zkX6O7u5ujRo7QebObA9p0cObSHjp4eevuS9KShA4UuNHrQ6EWnx9bptQ16OjWOYLDP1um1NWxU0oCNQholo8BDgdrOc8arI+RYt24dFRUj21pda1BdWwhAc2sPr75yhEOvtNC1vw36ekkpCj0ugw6PSZuh0qVDl6bQqSt0aQoHdejWFLp06LMhlVKgtwuOHh5xrsa2FN/pLcNVHjrh/sx65k+qlmZZ1v8A/zPO538RQuQLITTLslJZH03I2CSRSCSSU4fxxqapVrAKgOey/t6f2daW+f9g1mfNwPB84IUAN9544wSIMl2WHB3IO8ljJIGWzOtF4E8nK5TkuHhlxBaFezCz/u7NvFqAncDzOMvfpwIPTevZ9cxrKuKzbpmCc0weAw572U/zFuC3o+z729+OtnXiMDKv8dgNXDJxpywEtk3c4Y6NEOJfgRcsy7pTCDEHODhMuRqQa4LGJolEIpGcYowYm6ZayxjuD+X4txz7swGeAc4G9uHEaUkkEonk9EfDGcCeOdaOk8CPgR8IId6DM2aOpqHLsUkikUhmH2OOTVOtYO3BsVQNUIRjqRrts2KcwWoQy7J6gccmU0CJRCKRzEim1HI1QCb17ppj7CPHJolEIpmdjDo2TXV6qPuBawCEEAuBvZZltcPgIBYUQlQIIXTgssz+EolEIpFIJBKJRHJKMOWFhoUQ/wGsAtLAu4CFQKtlWb8RQqwCPp/Z9U7Lsr40pcJNAkKIBE6g1JWWZT08zeJMGRkl+XtAFU6Yxocsy5oVK7zjlSKYLQghvoDjMqUDn7Ms69fTLNKUIoTwAJuBf7cs6wfTLM6UI4S4EfgwTsDov1qW9YdpFmnGMxufG5mYtruBr1qW9U0hRCmOS6aG48HyJsuyejPX0/tw5g3/z7Ks7wshDOAHQDmOW+ZbLcsaGSh7CjL8+YnjfjRr+0UI4cVpUwJwA7cDG5nFfZJN9ngDPMgs7hchxGKcZ8rLmU1/A77ANPTJlBc4sSzrXyzLWm5Z1krLsjZalvUDy7J+k/nsUcuylmVep7xyleGLjJYd4fTnTUCnZVln48QsfGWa5ZkSsksR4KR7/uY0izTlCCHOAeZk+uAi4GvTLNJ08HFgZEq9WYAQIgZ8EliJ44mwbnolmvnMxueGEMIHfANnQjjAvwPfyowb24GbM/t9AjgPx1Xzw0KIKPAG4KhlWStxFmY/N3XSTx5jPD9ne79cDjxrWdZq4Dqc+cRs75Nssseb2d4vfuBXlmWtybzezTT1yayvIDmZCCHOBdpxNOjZxk+AD2TeHwRi0yjLVJJTigCICCGC0yvSlPMocG3m/RHAJ4SY+UWQJgghRD3QCJxYHvlTn/OAByzLarcsa59lWbdNt0CnALPxudGLk2Ayu2bKGuCezPu7ca6lM4FnLMtqtSyrG/gLsAKnzwaStN6Ho9CfDox4fjLL+8WyrF9YlvWFzJ+lOMlJ1zCL+2SAUcabNczufgmMsm0N09AnUsGaJIQQJs4q7semW5bpwLKsfsuyejJ/vg/43+mUZwoZXm5goBTBrMGyrJRlWZ2ZP28F/jBKWuvTmS8ztLgwG6kAFCHEL4QQfxFCrJ1ugU4BZt1zw7KsZGZik40vkzAEnARYhYxewiVne+b5ks6Mu6c0oz0/kf0CgBDiCZy5xPuQfTLA8PFmtveLH1gphLhXCPFoxiI8LX0yXcWgTiuEELfiPAizuRf4rmVZR4UQ0yDV1DFG+z9pWdZ9Qoh3AYtwTPyzgeMpNzArEEJcgeMeesF0yzJVCCFuAp60LOvV0/2+HwcFKAGuxPFjf0gIUW5Z1qy8D44T+dxwyG7zQB+M1TendZ8Ne36+lPXRrO0Xy7KWCyEW4HjIzPprZYzxZrb3y0ac2Od7hBB1wAPklmucsj6RFqwJwLKs/7Es66zsF85D8R+FEH8FLgX+SwjRNL2STg6jtT+jXN2Co1itsyyrf7rlnCLGK0UwaxBCXIhjvb3YsqzW6ZZnCrkUuCJz398K/KsQ4rxplmmq2Q88kbFQbMNxkz7Z6uqnO/K54dCZCdiHoVItY5VwGdyeCUxXTpdxZpTn56zuFyHE4kwCFCzL2oBjHJjVfZJhxHjDLO8Xy7K2WJZ1T+b9SzjP0fB09Im0YE0SlmWtGHgvhPgB8APLsjZPn0RTixCiCvgHYHWWq+Bs4H7gU8D/G16KYLYghAjhJHc5z7KslumWZyqxLOv1A++FEP8GbLcs64Hpk2hauB+nMO/ngSiOy8ah6RVpxjPrnxsZHgCuxrFQXA38EXgK+B8hRBgnK+UKHBexIE6s0n04C3kPTYfAE80Yz8/Z3i+rcKzh78tkZvbj9MFs7pNRxxtgObO4X4QQNwN+y7K+LoQowMk8eQfT0CdTnqZ9NpKlYD08zaJMGUKIzwLXAzuzNl9gWVbfNIk0ZQwvRWBZ1sZpFmlKEULcBvwbuW4tN1mWtXP0b5yeZClYP5hmUaYcIcTbgRsAL/DpgRVFydjMtudGJp3yl3Fi9vpxVo5vxEmR7AZ24KRI7hdCXAP8E46rzjcsy/ppJnHO/wC1OAkz3mJZ1q6pbsdEM8bz8804bZ2V/ZKxPnwPJ8GFB2cx4lngR8zSPhlOloJ1H7O4X4QQEeCnOEq4C+daeZ5p6BOpYEkkEolEIpFIJBLJBCFjsCQSiUQikUgkEolkgpAKlkQikUgkEolEIpFMEFLBkkgkEolEIpFIJJIJQipYEolEIpFIJBKJRDJBSAVLIpFIJBKJRCKRSCYIqWBJJBKJRCKRSCQSyQQhFSyJRCKRSCQSiUQimSCkgiWRSCQSiUQikUgkE4RUsCQSiUQikUgkEolkgpAKlkQikUgkEolEIpFMEFLBkkgkEolEIpFIJJIJQipYEolEIpFIJBKJRDJBSAVLIpFIJBKJRCKRSCYIqWBJJNOEEGKNEOLlE/jehUKIssmQSSKRSCSzFzkuSSQTg1SwJJJTj/cDciCTSCQSyUxBjksSSRaKbdvTLYNEctojhHgv8I6sTbXAOuCrwF3A64A0cLNlWU8IIUzgS8BFgAl8x7Kszwohbgf+BdgLfBj4LXAHsCCz352WZX1oalolkUgkklMVOS5JJJOHtGBJJFOAZVn/aVlWvWVZ9cC/A88DvUAF8KxlWXXAl4FvZb7yHqARmAs0AdcIIS6zLOtfgT3AjZZl/QJncAwA9cAi4C1CiJVT1zKJRCKRnIrIcUkimTykgiWRTCFCiCrgi8ANQB/QA/wy8/EvgQVCCDdwHfA9y7J6LcvqBH4EXDX8eJZlfRm4wrIs27KsI8BmoGryWyKRSCSS0wE5LkkkE48+3QJIJLMFIYQB/Az4iGVZW4UQxcBhy7LSmV3aMv9HgDDwH0KIT2a2uYCnRzlmLfAVIUQ9kAJKcVwzJBKJRCIZFzkuSSSTg1SwJJKp49PAVsuyfpS1LZL1Ppz5vwXHl/1LlmX97hjH/BbwHLDOsqyUEOLxCZNWIpFIJKc7clySSCYB6SIokUwBQojzgCvJDSgG8Aohrsy8vxZ4xrKsXuAe4FYhhCaEUIQQHxdCXJTZr5+hQS8f2JAZxM7HCVIOTGpjJBKJRHLKI8cliWTykFkEJZIpQAjxIDAPOJy1+TvAzcAfGMrW9GbLsp7JZGv6InAh8P/Ze/M4Sa6rzvcbkZFrZe1rV1fv6o5uqbVLaEOWbRmDhTEG2xjw4A8G3jwG3vBg3oM3mBlgPDMMzBtm+Iw9rIZhGY/fgDG2ZWRLtqTW0motvW/V2d2177lU7rFH3PdHZFVlVWV1V0tdqpY6vp9PfSozY8kTNyIyzu+ec8+VgKPA/55KpSqqqv4H/MHG/xoYBz4P5IGvAjPA7wBPpFKpoNcwICAgIKAhwXMpIGDjCARWQEBAQEBAQEBAQEDAdSJIEQwICAgICAgICAgICLhOBEUuAgLehaiq+g/AgTUWfzSVSl14O+0JCAgICLi5CZ5LATcT76gUQVVVo8D9+Pm87iabExAQEBDw9hACtrA02P6GIng2BQQEBNyUrPlseqdFsO4HXtpsIwICAgICNoVHgZc324gGBM+mgICAgJuXVc+md5rAmgH40pe+RF9f32bbEhAQEBDwNjA7O8unPvUpqD0DbkCCZ1NAQEDATcaVnk3vNIHlAvT19TEwMLDZtgQEBAQEvL3cqOl3wbMpICAg4OZl1bMpqCJ4g/NOGiMXEBAQEBAQEBAQ8GbxrBu1H+3aCATWDYqTyTDy8Y9x8YEHKL/wwmabExAQEBAQcEUm5jU8L+gUfLsRQuDY7w6nNODmxsnpGOdzuBVrs015ywQC6wZl9pf+CfrgeSqOy9Cv/Atyk5ObbVJAQEBAQEBD0mWD4+N5zs+UNtuUm470WJnhkxk819tsUwIC3hKe5gBQnK6iv8NFViCwbkCM575M+cQ4Zw/cxtDDe4lqGkd+93eDdMGAgICAgBsStxa50t4l6T3vJCrzBgAi0FfvOEzdoVw7fwFL5KbKTAzOb7YZb4kNLXKhqup/AR4EBPB/plKpN2qfbwW+VLfqbuBfAibwe8BCuOY7qVTq32+kjTcihS/+AZ4skbn3Xn7uLp3Lb5yl7cQJRkdH2bVr12abFxAQEBAQsIyg/y8g4NoZO5sFoLnjrVUfHSmO0BJpoTPeeT3M2jTeTYGEDRNYqqo+BuxNpVIPqap6K/DfgQcAUqnUFPDe2noKcAj4BvAx4AupVOoPNsquGx2RGyZzocoXfvwzDD/yARL9ST60/S+RzriceumlQGAFBAQEBNywSNLqz2zXxhEOcSX+9ht0EyG4NudUCAECJLnBSQt4RzGYGwTgid1PvOl9eIaDHLtRiotf2zXpeYJXh3Pc2t9CWyKyQTZdGxuZIvg48DWAVCp1HmhXVbWlwXo/Dfx9KpWqAM0baM87Av3JP+ZPP/QTfP3R76MYjvDrE1X+14d+FgkoHj6M4zibbWJAQEBAQMC6eW78Ob49/N3NNgPPE8yNlHDtd3Yu3WvDOb5+cmrx/WKn/zV2/ltjJfTTmWv+fk+zccvv7PExActx5g0qZ7I4BQPPcBCuR6Zs4lyHcX1Fs8hTw0+hO/pb2o9xhUIuZcMhUzE5OVF4S99xPdlIgdUH1N+5c7XPVvJzwJ/XXieBH1VV9RlVVb+jquqdG2jfDcmpI2f4+/d/iMftCq89eCs/2N3Kf971Q0z39dA5McnExMRmmxgQEBAQELCMK/n2I7kyZ6aKWM7bJ2waOWPlnE4xq5GdrLxtdmwEs6XGY3auNbnKLZhv6vuNi3nMoRvHkb0aE/MaFXN157TwBOmCztdPTqFZa3deayXrXV8d0yyaZCbK5CcqGBfmKV6Y55WhLKcm3/p5nij7fmtGu3Yxv2if4/KdE9Oknh/DMxsIrVrA60bKMNxIgbUyviex4v5XVfUh4EIqlVooO/Qc8FupVOqDwOeAv9lA+248Kmm+1P8okhD8xh17kSSJf7d3K0gyX/nwE/Sk04yOjm62lQEBAQEB7xCEK/CMK2c+CCEQDRxIo2KTm742MdIosaeo2wDYrodesVZ9l6fZ1/QdV2OuZPD0uVnmVgiRa3W+hBCU5w1M12SkOHIdLdwgNti59Dxxw0X/HMvFqRVW8TzRcAzP8fE8L6RWO/fmcJHM0VkAcmtUrLN0h8nUPOnRja2OOVGaeEsCZC0a3dcLODl9cfnCeTVrVfycqn9PlgyHasG8LmOj1pvC2uirbFcQrdoUNQu3uLpjYCHL9VrTZDeSjRRYUyyPWPUDsyvW+TCwmDeQSqVeT6VSz9devwT0qKoa2kAbbyjsk9/i8K33ctv0KLf29QKwJRrhR/s6+PYdjxGyHSYvXNhkKwMCAgICNgPDMXhx8sU1U22KZnGxt3gBc7SIcWH+ig6SPVlZliomhMDTbMYHc+Smrk1gTRX0NXv7Dc1mYnCebN0+3bKFcTGPndHW3Ge2YnJiPL+0TcVCO5leUzjmNWvZ/wUGC+fJ27l1D+/Iz2jMDBU4fPlVBnODFOfnEZ7AdNxrTp2ydOe6iJOSsVyMpkvG21YYYCqVZ+hk+k1v73ouprt21EwIwWi2uq5oUdEsYjgGw6cyDJ/yr90nT09zfLxxxMXxVre9VxNV49XzHJp6uuF2nuvbYunrG57hei6X8pfwVpR0NGyXXMVEeALtZBpnReXAM9kzvDH7xrq+A0C4HsbFPF6DyJzrCQzbpZTVuXRsbtF2a7qCdiZDwSgwn81gTZSxpytoJ9O42ca/KXrZYupSnsLc2vfntSKEWNU+9ZRyjW2xhcWgdQbLtbhwMYvVIEp9s0SwngE+DqCq6t3AdCqVKq9Y537g1MIbVVX/taqqH6u9PghkUqnUTVPz9Y1XX2emq5cHo8tPyyf7OtDDMV49eBf66dPY9vXt7QsICAgIuPGZLE9SsSqMl8YbLj88dZgzmTPLPltwIq/UseuscGicOY3KhXncdTqVsLz619Mjz/Ls2LOL702nFmGw/XUqZYtDqTSG7SJq6T7CWPtRf/hylvF5zXfMXA9zuAj44sy1PUZPZzHrbPWER9HKMFkZoWz5bodbtZmojHNWO9WwEEcj7FpkpFzW8EwHc6SIPVvl22dneb5BRORKjJ7NcvbE3FXHiIg1ojALTOWXztVItsqR4RxzVV+0XIvQsk13sc1ELXXT9VyeH3+B2UrjY1uYl8h2PYSotWkqR6a8WjRVTYfU7JLL57ker4wf4dmxZ7mcv9z42Ao6pyYLpOZWuoqrOTx1mEOTh1Z9fnp2iMnpWcbO5tDyRkMR7nmC05MF7JpIzltzq9ZxKxb2bHVJjOsO9lz1qnYNFYc4NnOep1Nnl33+3IU0L1/OLra1PXP1fa2FqTsUx0p4mt1wP0eGcjx9bpZKLQV04Tw7aQ1cwSvTr3B49hUARJ3oF0KQry6dS8szOJF/nqJTwG6UlncVPM3GLVlIK3o0Xpp6iW+PfHvN7bIFg1xluQCVgDlrkqIocHrsItMn0xx/ufHvoO7oPDX8FLPVlTGdt5cNE1ipVOoV4Jiqqq8Anwd+UVXVn1ZV9UfqVtsC1HeH/A3wz1VVfQH4E+BnN8q+G5F/NPzymh+9d/nQs/tbm+jG5sW7H6Atk2VubvWPQUBAQEBAAIBTNHEttxYJWBqc4Lke4+dzy8RIPZ7rkS4blMslvjj0TV6YGrvqd6XHSmTGlxzi9rEKlUx+MVKR1pYe8U4tMjGYrVDUbS6nK1RrY18mtMlFhyhftbjYwMlOj5W4fDyNqEUVTM1m6GQay3TI1zmaE+URRqtnGStf5qXJl/A0G/1inrNn5pirrk4FcyvWKpFZT7VkIhyBhISoia61xuxcHJrhm68eW3xvVOxF4XNsusBYrnrFwfqXjs0xdjbXcNn56bOczRxdsqsWvTBcD93VsNzGaW7uiohQKaszcjrDfK3N9Fqp8KJZ4aWhCf76+Mtr2ucKwanJImPzGualPGdemeRbr/pR0/ro2uuj81wemaei25ydKvK1F0a5eNl3iC/mLy6uVzSL5HT/eJ2FaNFVxuoV0hqu4+EtRKWEIFvNUrbnmdAu8JUTz2DlNIaeGWH4pQlcsby9nzw9zUi2ymRNrMruamFqXi74AmvhuGdKGNMlrMnG4s92PUYyFfSZEpenS0wVtFXL18NaaY71jJ3NLt5ztukyeSKNqy+1fa5qUrKzDFUbC1mBoJjWV4mmnG5zrqCR1yw8V1Cx8wghmLOmqRZMKnmTjJZhrrq2D6rZGt8e/TZVu+qP1Rte6lC4nC7z8qUsFcuPYD81/BS2Z68SQhNlg8xsBVZFMv33whVUiybl9Op71hUur0z54vH43HHOZc/x1PBTm5Liu6H1GFOp1L9c8dGpFctvX/F+lFr59puOao5zbTvpz85x12N3LFsUkiQ+1NXM395+Fz/99FeZnp5mYGBgkwwNCAgICNgM1jO+QHgCa6TI7HQVpzvOQDSE7XicGc6xq6UJo2qTnSizdV/7su30is3kTInBbJV+x3egdCuN5W0jraXpSfQ0/L5C2nckE80tFKw0rSKGV7ahtvrR2aMLxnNmusBOQkQUCRsYzlaZKFk8EI9xtngech4fvu0jvDjiO/z7epcXFi5mfIdKCIEkSeTnNJAkXOGiORrQCoDhLne8hCPwhCDiCPL66gwQ87LvBErtMVKzZdS+ZkKyhO5ojBkjtXavCdW68JcQgvTJDNG+JuKGg9IR45kTz2IJE/d77sLWPcYHc3RsaVr2fWtF0LKTFdy5KmcKGp27W2huWl5uOpU6S8lx6OpWQUB+poorPCzX4GjlOE+/7HCw/wGeuF1ddNLzms1LlzI8uLuT3pYYALMjxYbfr9cJP8dysS2XeDLCzFCRpjbfFtcTeMJlsDzEto5bOe2+TmYezs+2cWnW5NG93XQ0RZA0h+a0gTOnMVSokCkYKA3qSB+eOgysLi8uXA97ViO8pWlZGflq0SQ9ViJdLLFldxsAclrjpeobDOMLzhnNQjYNRksGwilxNnSJHcnbgK2U69JGhfDPRSJvQe9q24b0EZz8DE308pJ1mPh8hPeY76W7K441VUHoDvGDXfztK2OUczpJRWZrvEq07EASPM9jqjrF1uTWxX3OV00SDdpe4Av4J09P0xIL8779je+3BVxcJswp3Pkor2VeJdkWpWnv0j09UjmDJil0JbZybqbEva1L15Jre1i6Tb6isaXHt8Z1PGzPQ5IkNN3GzJmY3UudCLblMn05z+XO4whP8Lj0CJFtzciR5aN4pivTeJ7HZHmSbdTskfwJyGeKVbqiJuG66+BM5gyz1Vke2/YYTeGm5ZH2NVJF6yNiY+dyDOxvJz+jgYCp/Bi9MRO3aOIUTEZ3jGKUbS5YF2mNtnI+d56HtjxESN740Uc3SsH7mx777PMMbdnBLaUMsrw6sPj+vi38ddYg19yGNT29CRYGBAQEBGw0ZauM4zm0x9pXLdOyZaxMFanddzDytWhMe70jLvwUOcPUUIgjahGHwkAC2xL0wOIYF83WyOgZOr0YhbTGiGNDWxir1qMfsz3O5I8SP+bw4bs/ipJc7vAbtsvzE/Pc3dNMvjzLWPUcEa97VWqMcAWlnEHO1dmZiDOUz4KkkVBaaPYUbCfiF7qQwKxz/v/y9WNI0XHCjkqT0sps1aIvEWblIKoL2lmqbglr5vvZ0RxDLy2JKGG5fi96zVcTQlC1lvfcewI8IZjOVriULqOEJPb1NnOqcJKsOQ9AC02+Y1cTLrP6MBeGSkRGFIamhrl96w7cooktbCzdwdRthOPbaVadhVNDIV/EMXuIKqFFe4xzOcL9SeZnKlRLJp5u8ewrh/j+9z1KXIljezbfHfWHq0uWB8IXSeHmGOPaNMJM0RoPI1dNzumv8MTtKi9eylLQLG7rb8VzPKazGraU5cglk0je4ED76glpF1pVEtLiuKZd9/RQzGmU55dE64w9wYyY5FwphiPZQJjzs5cJs42q6dDRFEH2PFzh4M7rhGyX/pzJcNheFMeN0MoW5XmTuYqLJYU4dWoW/SQ88gN7sKoOpmZjVFYIZCH8NqnTsPV7z2tFihmdgpKhlNUZujiPq3iEInK9bG7IZWMEudzEgZr6mpjXSVXKdHvdeHVl6tMz88jIhKohio6JwI9WTVenOZM5g2ZrCK+JatHiiJ3jMSXEM5nnuC17P0JEyZtVHEcQViSEEMsigYZjEFNii+8XxvGN22OU7CmqxtqdLsMFjVs8k8uTGvFkmL0LTVa3zkLBiGJWxwNcS+CY/ndYhgN1OmRh3JRXtfGExYvnn6PcJLMlMcD+7q0kI8mG5zZdSXN+pkh/vBvDrRJesMMTaI7mi2nT4sW5Y0SLMmKNGZsWOpi0qomNIEYUU7OZGy6Sy2jk5isUbQ2MEm0yGBWL/LkcQpHRZYdz0TOURZWKXaE12rpmu10vAoF1gzD00ktk7v0M92gj/Oy3PsUD/Y/ymdt/lrDsX4oPtjUhCY+zO/eyL3XxKnsLCAgICHgnYekO6akSr1ZeINESxa1YPGzfTccd2yg5Li0xhePHTxIKSeS2m2TDJocv+5Ge9kSE9+zrxvUEzlSZs+FBBq0RHtG+D8LRxe/wVqQevT77Opqt8ZDnZ004pktT1gXJdx4lJAy9RCwa49DhMdr3d3Lvjg6/6iCCTNmk6E5z6oJGxOgCGSxhseAOaraGsFxCJX9/puZwaXqMrHQGt8n3iCOaw/3S4xQyGsm2KIZnQK13ebwySMJSiEiTNCmtDM+WmHWGGBrweKztEcgYzHnTzMdy5G2PszM5ZgY9xvMl6PBTzqpFE6LLDpvD4/Ps2tuO8ASe53FppkTZdukf8G1aSFGrussLfNRHEOeMMY5cHON2by8p7Txx3WVvfA+e5+DYLseOzbJ7X9ey7TWvzGj6FDvOGLz3wXv8FD/XQ3I88ueypOUsnnAoU6RUneKLr7/IZ+59HEuU8WpOe8V0WJBGZctBF2WaDBdJ+I6tVEubK9RFatLjZciVGXOGOZ/LU8ob9MU/iOzNk6tOc7DpABPlCeZ1PyXO0GwWwixPnZlBT1e5p3cp7FAuGhiKRVbzRVfI9bh84Sw9u0KMFOcZ0fKkzSjj9lniVZWW+W6KwGzRYLvtcSlb4b0DDuGQwDIdlJrYzKbmyRYm0ZMu85U7MBwPCZgpGsxfnOVo5VXuST5AU8g/T47tIjUoNW97gjnDrF3DPp4rFsck2ZZLKCKTmy4TiSq+iHA9ho6n6ehvor1vSa0tdEZcqVFrDgwAACAASURBVPDGTPU14rZHS/hBJioVtKhDB2C5NnrV5qJ7iamRAQQeitdKtVViNFfl/JkjbHVlzmcrdM6HuWWglYgMVafIG7PTdMW7OHXmDb634yG6bt2G8MRikRFHOMylq2Tx6EYmCdizVZy2pbFL9VJn6vQc0R6N7dEBqF3fZbdMT52YKZg2IhxefN+ZNbCaHIj6e/rGzCGMqsfBpjjlqkG+qcix6QqR2AwjpRQfVT+0uK3jOTydf47t+k6GszPoVZuMPM60dpk79Aih9ihOWsfrjmNlKujFLJWOCnlDRxE1mxY6RVwP60yWUFUHCU4VL6LJJncat+NYSSxD4Uy2jO14mK6HZjskJQlDc5Bq7WBjkRt1iOxoNB3vxhAIrBuE12f9G79dXOLgi+/HtRN8fs/v8M//6WcJh8K0hRVudcqc3Hcre44dwrZtwnU3QkBAQEDAO5dSTuebh15Aa5ln/31bKE9VeN54lUf6O3hxeoacfRLLtGmNhjk2liad7VjcdqFa3pHBND26h9fmj2kQ2QqixVcX8YKFCDlYsSgh3WEkU+HoWIawIojO5Omxw8xUbPYpIdymOmfS8p2xKXuU/JzC7T0tHC8cZV6f5/a2x8jYQ1iSS994FGmbH11ZECKHJg5hzVSJGh7IgtayzbxVBcXDLFrEmv2I2PGJWbKWhSxLfDX9Mr3d99NiuCRMnaoio/T4qWAxy2WGORTPd5J0x+GF7ClKzWGaIwqnnBfoTJtEvS6MdpiYqzBdtnnfLgdpYZyNBHatoMZr//M805ZN2BW09iRQUnkSto3bnsCaqWBOlqHVbz+3lj7nli3C+lJEysEBAWVN47nJ1xarmI2MzTNqOTzQmlxsStvWiJkuBT2HYTn84WvfJC418R5tN9k5jZH+8xiiSiu7MWyPkAfPDs7RmjRB8lPOtIqNZDhELQ8qOtVokeSKoIFbtRGeh6j7fKicRZsqLFZoe37uEr3uONIk7Nl6C6fTpzFqY7rqC7x5jkfRcnhjtogQ0NGaJS1NgQvzrj92qll3cXApVNMMlyx6mqOM6/54qwlzgl66F/c3ma5iuC5jOY1wLM3kWImZqsmupjyns89RMW3KsTiIpaES4/Mauu0Li4w9R0zexVBBR7NdbpVWC5+k7pBbUQwskTcYil/gTPkykeitxOjF8yBXNqEN0nkDN+mRmSgjJxUkTzA1U2Y8U2b3do2cbiHFFYQQHM0cY5vTSaviR0HitahSxRr128zzKBnzWHonpUt5wsCwMwNAttCMXl0+HitqC7yqTl6S6epxma6co62jicvnp7HnNbJuDrnaywsX0vQbgvZYGBkJ2/NA9gWl6wnGZ8sUlDwsDzQDMD9/ATNp4BQkTK8MruC4c4I99FMxHWzXY1S6yJxb5B7pA/5GAlzNpupWYSdY2QJJK0oxbVEJm+jCRi/bIHwbnh1/FinvohfLPCuN0WU5XK6MQpsgkjcIeQJDkShmbfTJMsnWCN7lAjR7ePhjz4ThkGOWJG28MfM8/dYPE3ejaI5GxS3j1J3vi5xHmy8Q0W5Drxu3N1zU6WlLrJobSuD/Nl3MX+TunrtR5I2VQBtZRTDgGjiv+H1SA0d/AEXqIRe3OXnhQX7v8/9jcZ1HOps5t3svyUIxKHQREBAQ8C4iY+bISr4TNlPUMTUH07K4lB8hU5xlaKxIxXZrUShB23iFeN4ETxCuOgghMDWHStlEFjIIQdG0uVia5Kj1MkrZxJqu8tr4PON5jcOn57AcDyPjRy1GS/6cOGW3SG6+gmU6gOQPzhcw50zy6sh3OXXyMjO5OSzTYXxqZtF+gaCUNZgoTviV8BDos9XFeXUA0mYKgT/nVjxnEJ31x02cF8cxPQ/PE8xaBZiogABLcwgVTKrVChU7z4g4S9l2EMKjZDg8mzkNgFsbS6OVbHTXQ7gGpayOXrFxLJfcTJXslD+PkeQJKkaJmXSBjG4RritwIAHRko05XeYb579BpW5+rvnpii8cXUEy7UcJpDqnrpw3yIncYlnvFsNFq0XuqgUDhKCrZBO3PeS8xdCLE+hOhbw1S75qUaoVzdAcd1mkrJI3OXHSF8xa0cKxXSbOv0Zn2SZhehhi+fxMsgvmpTwzs8c5k3+B9EweU1TJGYPYFYeE6dJedcibQziuYLZqMjZeJD9ewp2pggDD8yN3z43n/OgXMG9VOVV9gVFtqViA4emL7QYwOz+D46xMv1wqyR12PUqzFSRPUNJtJvMaY/kqhuPx9JmXMWuFILTaPmxhcdR6mVfHn2O8dMk/vtkKE6MpTNcjXTKoBfaoFkwimkOsZC+eUw+PKWmUiO2h2B5jsykkVzCmnyZfznHMPUqOORzLRbdccrqNKwT/3zNDDE4VKeg2roA3yq/6YgYwPI2Lo2P8XeoIRy+OLKvo6eAgECiOYGpuyi/lb3volkuydh9UrRKTmaXCD54AuabKx4s6xqU8saxFoaAzUs5jOy7FjM7gjH+eT2bKCCFw8wauANf1KNsOQzNlbFdwZnCWI6PPsBK31hFQKetUSxaS7vj3W7XIhdkylwoaJWkeIWCukmFITyNqx5wrGgwX6qoVCn+qgvFp3ybPEwxnKriui1Yoo+s2mbkKM7XxmZLpEnYFTslCK1tMlHWyVZPJjMZIIU81b+JYHtZMFeEKxsUQRXKYtsFYaYzh8jBPjTxPoVzyRVjtetIdl8FCzhe/a0QYPSGW1W73ShYZLUNq6Oy6qkK+FYII1g2Al5vmcu8e2ioO/X1llA/cxZ/9wxlE3OHwTA97vvsaP/GBB7hvYCd/WhqnEokzMzMTFLoICAgIeJdwKes7tVrZpFLQ2SaBhc1QJcWMtuQICEAv2ZTmNFpFgsxUhQ5bYB9YGhSfKRukqyatnk615gCawsCuSrQpErOJMoaQCaERNjwqcgmZBAnD5lzoJGFbLDrKad0iWbbQ8wYkFE5XjyOP6eQ9j8utS46iy5JjbbsezpxOabxE1fF72WVPkCFNk7Q0lscyHCI0riA/XZxeTMsyvApj1XPolIgCYzmdva5BTvI7GkOuR1PBohjxfamKVESIMCHXQxaCnJEjEfK79SOOYFQ+zpdePYtKXcXemhFGxULTDFJmEeEJZMcjpshIVQfDM9A8jWl3GjQHSfcwZRPL9XBXHIUAevIWckJHVOxFAQVwqTzJkDMHnovojIIEIeE7oqbr+c4wULQz5LM6LVIPx0bzbK2NHcuTpYs+SlLjku/D5RkqZg5XUXh5/FkylkWr6SJnl+YoazZcSgo4QvCUfghvGLbEo9Drt9PT41OMOsdplruISc2EUGjVHOa1JUG3stid53j+xMzNUYQnkADTcpiojtNGDxHHLzQiFX0hMzqap1VzKcfByc1gLQgrx+PEmXGckInreFgzBSRFQcgSmtCZcyaQ8YjqLiXKZIwqedkkEvNTDReSI2elCVzJocmEhYE/SsFCC3mcKb1Gu2QzzRie4YLr8ZXpb4EksTV0GzOzET8EIQSW5/kVDnWHUWmYsqxj6SYvGscoTG9bPP6ClKVT9CIDEdtjdqTAVK3ceLhRgwGlunmsBBJhV2CYNpVJm7xmErMAxZ8LTnPKWMLg0GQeUTbQJXcxWLVYqZLXsU2ZYtrf72i2giz7iXICP/01Z9p0RhWQJI7PDdIl9i7aIAnBy6XjAPR527Fdl3kpzcT8EZoA23RAUciZOgiQPY9w1iBhekxQpBeZubKBJgyaHRctorFwy3uOhxxeGtTl2LXIp6bw/KVziFiFaLt/RFPyKFRBT1cohK3F+9M2XJy6YiwuNrGyTavmMNfm/5q0V2zwg97MVE1iikxnLAICRobztO5pp7NcwqxUCfcuL0BzPQkE1g3AxKH/RWrnA/QVbHb98P381JdO8MieLn7mviy/9GXB7393lk++X3B3LdVgur2L/vSbn+wvICAgIODGwlxRmtoxXBQZLlyex5UlIo7vYaSrFp5Um1fK8dPIHMfj1aeHkWrpM+miL8hMDOaqBSQZzldOs5MDzLhjZDI53LhCR8hPYsl6c/Swi6Th4kWXR3QARrNVQnUCQnc8NNPGthzkSG0fYgzZ852ndMkkEg5RslzKth8Ja61tX5WWl7m21pgseMi9sLw9RH3K1/J6ihFHUHU8wisqg7XofjudC58lVDuauO0Rtz0iNS/8lHwEANVV2c4+bNtjzplCyDV7bRdJglLV5IXsMZySteg0l8IhzslD5E0bJWQhx+vHvQgUT2CXdS4WNCakYTxpoefdQzFshOtBjsUxYtmc3+M/KQ8TNkMgopTdNGXStFbDFOuc8UvywjxLCqbrsZCI6HkeX7t4GC8cgoRSG27TuHe/vhVlwPI8IgULW4b2+QJjzYKyl6VMlqjUtKr63cpiIW1VB0MxGXxlEktASzLC+GyFHtG64O+i2B5uTCZTNlEs//tlD6S6fKoWzeW4eBUlHCKkSCiWy5zp0hqWcIQf4audHp6qHF48vkRs+fk3WRqPpJctEH77SUIQrxVyWLiXInmLZsulnFBIG2cISf44oPaqgxT2rz3HdskpWfK6RGttu4kzy+cMK+FPiN1kukxenF/VPqVEze12BGbVoVi1idetE3Y8JCSKFYtW3cWrjU/DE1yuHKPk6OwLP0KZ1ZUgPc/DcFzqk9O6iiaz0jhFLDLTJQyzCwOXsiRhC0FYcjHrrqt43bxYs/JSdM4SWk1guaAoCASO7dFqLwyUAi2tMy1L6GWbFrlx+ZBmffUUBSXbocQcnU6YqYnlEdnsuRyGMDDcWoruinL3Hi7T9lla2Y/iCkIIHKBqORRM/7wZtd9W3XQwNIfyXJlSsUK8fQt3cOVqjW+FQGDdALz+6lEyT7yPe8oTfPZbJj3NUf7bp+6hJabwxLP/kb/NHOSPvvUKv/DEw3SaVYb7t7N79O2v6R8QEBDwTkFV1QHgN4H2VCr1CVVVfxw4kkqlrj6502awwh+Z000SSghFEsQ8ry7tSUBlnJSUpX9+J3LUH4tVrFhEo8udj3lpDqPq4DugNudlf36msAfhqo0RkojVKhDOSOP+2BobFtytTC1l0as5sG0Vm6qkU6o5LmFXEK5zmJprY5uMqk05bmO6C8vWNwGutsb8UJ6AUsZYdEQ9IRbnTAK/2iFAwnJZaEi5LmXIFWJRYC1Qsh0qLDlzo+Yw0ZkIkpOkIi19nq6Y5F1Bk/CLemgVf7y0DJRtF2qRu7SbpUeEMY2F8VkCB4e/Lx1pMBhD+L3wsoRctRERgYuD7nqLRdts00UeKdEOWIqEXHXQVu4GUByB4Xpototh2n7RBkC2XUKag227JI2amFiRRmWsEPV500YRIWTX81PdXIGt+O3mOKvnf7IazKfmlSyEEMucy3nSbGE7AFXHJeEqWJpNMd3oiJZS5hzbV14L86eVigaWG6Ui2RBbaNQ64V9ZinSckV4nXldasCDlELZCLBRCEhBdceyW4aAAiuORNF3KddFBq7ok7j3Hg7rS5IXS8iIbtlRXBt5j2bmX8MUd+JFSx3Uh1HikjlmbTsDzPC7lNRgvQbI2T5jQMKXVc0AtVFhsr9gYYRk9GuK8dAxXqp0nE5zauK2S7X82aaYZs2fZidrQjgXkuktH4Ivxlfe1ZTiL93DIE1ATWWvd1ytplOU3bE7RpbRRtBbGBy5fSfagSgEHm8nqkcXPMxULs+57hRAMz5RBCCIVBxvBydIgd7CXjSIYg3UDkJLeA4Cgg5Fslf/0iTtpjYeRJIlPP9FFkwd/9+o0kiRxh9AY3HkLVurCNc3aHhAQEHCT8UXgH1ickYk08JebZs1VKNf1IpdnfcdTc1zitrdsnNAChqQxLJ/ngnjdX5cykRXr5aUsVxI3Xt36aWnqqjZKQKm8umpbI+ayGtYVKq81Il8TbgsV8xYIaQ7humiJUbE5PZlquI8FMdhaN/arPvJTz5B8bvG1qducLp9Bp0p9mzXrLk21CVntNSYXBl9QzVSXt43L6jm3GnHUOsxZ+Y01x5EsRC8bkazZttB2Vt2xKlWbUNn2nd114lguIc+vuhauEyFNxuqJcp0GjnO9X6LVxIcj2Ytpj7WVcCerFIWfidNkujh2IxsFTt15tz1BWSqsOR+cqJuk15NcqtLyaEjRcsiZFs3a2ucxaaw+prK9fH2lbpUrzU03Ja/uCG+p65AI185rpK6D4Jz0Grq0lBJseYJROcX58kuUsjoR22PMPr7mdy4Qsz0ShrMkrmrYK69J4Z+zEXl5xHgl9ffTbNXitD24fDdCrLoeLE8wVTHIG+u7DxbGudUzb9pcrGYarO0Tdfzfx4XOoAVca/m+pqvmYopmaCGi5a09ufj1IBBYm8x0JsXl7v1ImsORVJGP3NnPw7cslXZVb/kEd8QyTFgJUrPj3Ne/hfEtW5EKZSqVyhX2vPl4nsehQ4f4whe+wJe//GWKxcaTGwYEBARsAKFUKvUtasPgU6nUc9zAzzy7rjhA6xUcwJV42ExKw1ySzy6L2qwbAQWRu/btNpAz8mvL3kdKFk2mu+iQQm2MxjpxhKBira8X3S9UsESoTjDY5tr78FY42jPS1QOlodo4JaMWIbneF+eV7L0SshDMS2mijqBZc2i5hutxTVvqHHtDd7hcfgHPXYpguc612dqgeOC6cDxxxXa+0rxYCzS9yXZdScz2/HGC61g3Ybm0Vh2aTJe26vrOR7SBMJ+Rl1+XjUTy1fAQaCtSfc3q+kTUlai8CVsWWNlBtLLYymZwwz5sbhZe/frXmO6MEbswTzgk89knDixbHg638Ig6hSvB57/2Mvdu88PshVgT6Rt8HNa3vvUtDh06REtLCyMjI3zxi1+kWt3Yqi0BAQEBNSxVVd8PhFRV7VVV9eeBje2yfAs0mmB+vSwUe1iPc7gSrWxiN4hO3Ii8FYdlZRRiLUal1OJEsW+FvJTlgnzyLe9nszAkX/woniDkiWVC880wLl1afO1dISK3XpLXSeRsNi0NxiStxY3ssF9pnrAbDdtwMaoWlrax19CNfL5uCornm5mJOIiMzWce2Ulfa2zVOh957ABxITg/LnNrk78809x+wwos2zD42hf/hKFvf5snnn6a+3//9/nk8GnMYpEnn3xys80LCAi4Ofg54CeBLuDbwF3AZzbVoitgV9/cw/5K6WPr5c30Yr9b8SSXihRkW1xv6tPe1jsmLyBgI3BsF88V2OuMar9ZgiIXm0i1nKNs3EIhZxKWBT/zyK6G623pfZz90a8xaHYxnj1Lj15lsruXzPgYPPTQ22z1lbEMnS//1v9DrurygUMvEgq7tPRVKb18kie2XeRrksTY4Al2HLh7s00NCAh4dxMGPld7vTDn5A07O/ubTecKCAgICLh2VqY5Xm/WFcFSVTWIdG0AJ197nvGWCPKczh3bInQmow3XC4dbuXtrBkOCrzx/ggNCY2jrTqpnT7/NFl+d5//yz5jNznPfydMoCuz7wAzShw4yPtBMdEJn78RlXvzqF8Hc2As7ICDgpufvga/U/r4OnAX+ZlMtuiJBr35AQEDAu4X1CqdLqqr+V1VVH9hQa24yRs7McTZuIXnw4/ftuOK6H3zAn5Nh8JLgYGc7Y1v6sSam8RpUXdksMmMjnD30HQbibXRns/QezBL+8K/T/8v/SN+v/jbFeISDpwYZNjvJfe03NtvcgICAdzGpVOr+VCr1PbW/u4B9wMXNtmstOnXj6isFBAQEBLwjWK/AOgB8C/iMqqovqqr6OVVV92+gXe96PM+jOtbLuGNBU4gfuWPnFdc/sPtBuiSLvN5Fb3cTbkihIoVvqMp8R5/8KqGmZradPIWbCNHxIx+F9/wqAHd+/w8iPvJhIlWdHWNjHB0cgcmjm2xxQEDAzUIqlZoF7txsO9ZiNnRjTs8VEBAQEHDtrEtgpVIpq1bu9heBfw98P/CkqqrPqKp620Ya+G4lMzXEvNmGZks0t7lEo43TAxdoaT7I3uQcM1KY4tx5ALLJVjKZtecHeDsxtSoXX3uFvt4BurNZ2u6MIv3QfwJpqa7VfZ/9TbRkggODg5wUt+E8/7ubaPFyirbDr1+c5OFXB/n4icsczgcpjAEB72RUVX1DVdXXa39vqKo6hp8meEMSCl35GRAQEBAQ8M5hXUUuVFV9H/DjwCPAM8A/S6VSx1VV3Qd8Gbh340x8d3L5zGkuR/y0v92tV08NkaQQD+yucuQUpE7MkNi7nenOHjIzM+zbt2+jzb0qqVdewrZM2s+dx5Ml+v7F70Gkadk64WiU1k9/GvsP/5hkpsSwdIl9c+egd2M1uhCCYvEYppWhs+NRFCW5bPncK0f4+LzNeCzOf578Gx6b/iaKZzK8/0fZ/ZHfg0hiQ+0LCAjYED5e91oApVQqVdgsY67G1ugAF6s3rHkBAQEBAdfAeqsI/jzwV8AvpFKpxVJHqVTqoqqqf7ohlr3LGb+Y4UI0hpcIcW/7+jI1P3DfFv7gpGBuupn92wsMb91O8cwJeOyxDbb26px/6Xn6Brrpe+YY7t5elNs/0HC9Xf/bP+X8n32RPZcvc673VvYd/Qv4wd/fMLuEEKQu/hZTU18CwJSaadr+a7xn90+A6zL9m7/FL3dtZ/zgnRz+9k8ykExTMbZydPd9vOfs36DlzpH4macgvLp8fkBAwI2Hqqr/L2tUjFBVlVQq9Wtvs0nroqk9AvNXXqdD9DAv3ZjTcwQssdc7yCX5hg2W3tR4BPMTBfiU4qEN3f96r7PPAQ8siCtVVT+/kBqYSqX+ZKOMe7cihCA33cqMLPC649zb07Ou7Xb1P8iWkEHe6mRr1GFo63b0wcENtvbq6JUy06lBtholIrZN36d/bs11Q/E4kfe/j4GJSYbMbdinvwr2xg3unpz6H0xNfYnX9Bb+KB3FdCpkh36TX3v+5xn5nX/D0xdHOLb/Nr55+rcZSKY573wvZ59vIvEdmV87+NskZo4hnv7shtkXEBBw3TkLnFvjL7WJdl0RJXr1x3FCJK+6ztuFHXoz0xq/da6lrFNCCZFQru5EWcqbOxZXbrxdguY3tb+12di27hZbNnT/15v26JufbUGPrs+pVtY4t9eKfJ32c7PSJro2bN9uaGOl9nr3/kfAd+re/wXwh9ffnJuDfHaMUa0LDwmpXeHe3etL8UskdqG2zjIjh5AkGy2eIF8xEW9xhvW3yujJY0QkE+lyDjsSpvuHPnHF9Xf8wi8SEoL+4Qkum+1w6ekNscu2C1we+n0uGRG+MtPMLYO/RvnEv6I5FGJAf57Piq/yDz/wA/zHJ3+D2ytHOFHdy9PDCod39nK5mmHH8Tx/vPUTSEf/HCaPbYiNAQEB15dUKvVXC3/AUWCk9jcN/PKmGncFpHXkkyTwBZYWeXM9rx4QX4fgWA9CAlmSOOjd/5b3lVBC9MQj6/xeiR3elZ+ZriTRGQvTFlVoj13ZGc8nw1RjCvIKkSUh077MuVvtKBvhxi7U9X4ix5qufnE0rXFe17KlXnjWO7ELr8PrFCIASdG67nXfLInoDg5499AqOoiscIx7lC0sPz8SMdE4tX+t9lgpsqPy+tzjiFjKblkpVKNxBanBfhpdv2FFJnIDiLGr/bbs8Paxw9tHu+hetUz17rritrIiIa04xquJ+1bRccXl9ez01HWv+3awXoGlpFKplxfepFKpE6yjS0VV1f+iquoRVVVfUVX1/hXLTqiqeqjub+vVtnm3MHpukHHFAwQ9Uomezs51bSdJEg/ssXAlKA751QNzsZZNryQ4fPwNbu3R6ZjK4d51O1Lkyg/KmKpibxtgz9BlzksH4MI/bohdExN/jeeWeTIX4w/Hf4l/Zu/hwfwe+i5+jINxl/btMh849D95onsQp3M/d/+HV/iFL36Zhz/xKeZam1DOv8p344+Ti3QgnvlXG2JjQEDAxqCq6h/jdwT+HfCr+Gnuf76pRl2JBp5frCm8uKhT9BLHH9cqGj59Gz+S5ZBEQgnRGlHojIdpCSvEiK/LpI+3Ps7W5Or0aEWWULY00RkLE0KhZYUT1C3619xnI1ESliXCdU7zLm8/d3oP0SO2AtAnti0uc0LQRic7lPvol/fTJFoAX2AsCKJSIkRMCSHViiy1RcPYV3FeY3UC74B3D3d4DzAg9izaEF4RYSzFQ1h1x9IcXhJB1ViIpGglpoQwG0THEs1RQn0JBGAqMkqdmOlW2hrbt0Zve0goRKIKkY7G59RS/O2isrzMxu+RHl58HZGTtXUX5uMGs3X1czxas2FBUPXG/cIs4dr83U11EcMu0efbp4RoCStvKZIjixDJ2E4iRNkpVHqlXnZKB+kWW2gWbexvu5WtdfOI2mEJVdxJLCQTawoTrvvu+shUWESWOfySLBGq2Z8MKzSHFUK1a0haw11O0rJ4TffWXacAsrL2Nivpa4vTnbhyoZv+puXLFwSnqUi0RpaL8PqfkwXx6KxxDooJhXwyTD4ZxozIyJJEd+1+iIo4dyi3s83bA0CMOG100iLaV+3nar8rsiQTT0aIJ8OYkRARWUJmtaC7X7lv8bVSu7ZWXj993val7xUJdnh7aWX9YuztYL0C6zVVVb+iquqvqKr6f6mq+k3g9SttoKrqY8DeVCr1EPBzwBdWrpNKpd5b9ze1nm3eDYymZhhXHGgJs93II6+zpwTg/fcMIAlBZUoi5LnMtneSTm9eTr7wPEZPHaepKhF2HHo++ZPr2q77p/4JLeUKuXQSL/UMuPZ1tcvzHFKj/50LusxHpz7JgcfuZ9tvP8yuf/sww6PbCOe38EPdFg/3DREP2Sg/9hegRIgmEjz08Z/gk//m93ATcR5+8sv8Ye/HkMZfCcrKBwS8s7gtlUo9BgymUqkfAh4Abl3PhqqqHlRVdUhV1f+j9n5brSPwJVVV/1ZV1ete8i++ImKghEPIIZm4EkJJbmNA7F5c1qgXPtak0BkLszWx1HOfDIeIJSK0d8ZJRhQSEYX+cC8/2PJgQxvM5FK0OeR3SgAAIABJREFUZ3frHsJrPJuawwr37urggW3vWWWREg4t9kpv71ud0mgpEpXYCqeqzneSFZkW2tEjMlvEdu70HiKS2Ekk7tumR0PMJxW05iRespdbxG0o0RAxRaY5vI2mhEp3IgKyRKiWxhhP+NtGa/voEn3ERRNuXZXb1oTvoA54u4ngn14Z3wYlHOLWe5d62vuaorghmZiUJNK0C4D2UBKUOEo0hIiEUAjTpMg8tusuerv3kUzevux47bhCIRlGi4XYHb9lcdF98QOr2qwpptAZjyw6+/XcJu7jZ/b8IJ2d8WXiwQ5JVOuuqViycSRPkiVCe9sQgB2SKUg5FCWEVItk1AvErlo0sCd2Oy39zSiR5dfH1t7kYsRwq/DbJdIWJRkJMdC1VPRqLUd/gV4xAEA8GSYaVxhoG1hcpigyt8h7SYbb6Rc72S389nr/lke5TbqHSEyBmrBpSkaQQzL3yN9TOxaZPX3NbPP20CO2sT36PYRCMtF4mP3cz63cxU/teYKuaBchGVqiCn2JCFuboqit+4klw3iStCh2lXCI1rYmUCTKsRBSg06OlZ90iS00yct/PgSgtF75J6VT9NLSESfUcgvl2v2TkGLY4TBaTCEZUdhSJ8DKdeOLtKhvm1F3vhaEZUSJ0Bvez77wI0tt3NpGuDlSs1+ihVY66OGgdz8x/N8Xs7Xx0JZ48/LrTG7U8SOBEZXZn3yMbtFPm+gkElUWr9GOcBOOLOEB+5q66BZbCK3omFkQ9eBfazu6t/u/f8nY4q+R17zUSSA3SGnuCe1peAzXi/WWaf8V/DRBBT/L4HdTqdT/fZXNHge+Vtv+PNCuqmq9bG+UpHy1bd4VzE3JzIUETlecveFrExbbtzxIf8ggb7axXZtndMsAufPnNsjSq5MZH6XJnsUed7FiUbZ88IPr2q73Ez+GE1YYGB5n0ozD2CvX1a7RqaeJUGI4v4WPfe+naH18B3IkhCI8bnv97xg63E6nZ3BvMs0/tvdhdy0P2ffvO8CPfvZzyMLFOzpHRUkiXvn8dbUxICBgQ1EWnh+qqnanUqkJ1jEPlqqqTcDngWfrPv4c8N9SqdSjwCjwM9fb2Nv7d9AaUdAiIZrb4wigLzTAzoFm7rl9C0pHjP7+JEo0RLQpjCLCxJc5EDK9Ta1EWhN0tsXpiUfoSETYuredtkSEtu4Eie0tRGMJIiGFrtgd3NX7KErEjzq4soTSFaO/KcqeZCs/vGcp3SfSGYeBJFZvnFg4RN8W31lOxPzHcwiFeHOYRHOU5kQShTBbm6IkIgohsdSzHm+O0JeIsqO7mWpXHL3m8C04pi1hhUgsRD6p+E6hJBHb2kR0ezN3JvxixUKSMKIhOmLhRUdqZ1sCCRm9uZVtrdvZnmzDa4kghyREXIHmiO/p1nysZqmHfeIOHt/xfYu2ferAD/PxlsfppNe3qU7MGDGZUFQhqfgia8Fx6pZ3MZDcw33hR7k7dA97uIN74g/Q1ZugSfguTnu4g9auvcSUDrpEH7d4B9mv3MGe5J0kak5jn7IkIBJSnCbRQqJ5yVluTfjnuTcRIabIxJJhZFlij3cbUVkmHAqR7IwtXg8tYYW2eAQrLBOPDbCf+/3zHA6tiuR1NUcRLRH6dz+EFZYZaL+f2M4BRESG7cnFMUvbEy3cqtxKX2Q/lVho1Rilvd7tvLfrYTo6uuiILKVq9Saj7AztIKbIbG2O8X3J+/lQ53voST5MPNRFc1jx080kiUKTwkDoINuju2rnQCYUDnF7UuXRgXYiskyirbEQaW9qobOzHSUSQu6IooRl2mrXZ5gISdGKHpXp6k2wJ9pPu7IdV5bY2bQHKx6CUISYlKAjGeXTB9+7eP57Qj0k22P0tcaRZZlKc5hqS4R4c4RIXOH2re3saE3gKDLTHREKdemcEhId9OBKErYs4SgSt3Z08sBdvYTao4vfYfQmUHrjSC0R//6udQjc6T1EIpqgvynKw623cNvWO2iXtzIQu487W+9l+7YWQqEEsWSYRHMECT+qBeDJEonmKPu8OxCSRJ/aiV0XUbNq7TjQ8jDNsh/57Q3dQpe8g123tCNi/nFE4wpWRCHbEqajZ8kdT/Y348aVxajmgLcbpyXCduUWEi1RInGFZEec/dt2YSkSsljRgUQEPaFQaI6xQ+zjQNMdyLIfcUT4otMNSTRHFA507yERTfBQt1oTYRICgVxrv97OGEjQFQ+zTR6gu7cHpTmKUzveiCzhJlZ3MISlNz+Wbz2sS2CpqjoA3AbE8IXR+1VV/c2rbNYH1E/SNFf7bIFOVVW/pKrqYVVV/52qqtI6tnnH47kOQ8VuhCThdUS5u/naOkJjsW3sbU4zK4XosStc2raT6ok3NsjaqzM5eJY9yTytUwWsu+9CDq/vgpXjcdy77mRgYoKLzh5IPXVd7Tpy9g8oOBL3GZ+m43uXwvblZ5+jlMuQm5HoT3m4isTnW+Cvz/7Vqn30H7yDxz/4EZLzeZ71DsLgNyAfTAYaEPAO4b8CP4Yvls6oqjqBX+jiapjAE/hjthZ4L/CN2uuvA43LpL4F2rq7GDjYzW37Okm2RCm1Rv5/9t47uK4rPfD8nZtezu8hAwRAgo9RIilRqZXVUgerk9uhx2G2d3uc11tbs2PvztTWVq2rZmt2PVNre6Y8Ox6HsceunnHqanW3Wi21JCpQpEQxB/ABRM7v4eV84/7xAJAgQQqkRLXcg98/wLv3nnPPzd93voRAIEkS/R0BnvzcdpJdITSXgsur4A21BLQdXUFcXhUBfHrbYzg4aEEXcsyN0uHDH3QheRW0Lh9CFjhBN3ZIY1t7F5rPx+dCTxJxKaiaRFegnUfUh3lAfQAhBKG4B29Aw9IEXeHd/Panf4HBntANXhfdTj8i4QUBvd4k/pAbb7D1bdvnHKbilrGEYK9ykHZPCLcscXgoxmB0F2WPjCwJEh1RogkPXWofrt4A/qibYNyN16/h9qs0exL0hh+lXzlIuM2LAA61B9nfH2anNsTOeMsqJysSDjbIgr27HuRTHc8SiHmQ273cH92JQODvTpDc104s4KE/6GZXxI+QW26KlgA1GSaYuOru1FwRNj2Bneyw960tj2kR2jwa3pCG2yWzIxRkVzxKKOSiP7KNg+J+AkrLnU4IQR+D+Ajgl4J8ds9O+oMe9sRayqrmae1DFoL7tXv5me7P0Olz0e1341FlVK+CJEl0Rbw0oi7UsIuH23vYHvYCDoKWsqQqMtGAhnvFyhFTB8lGWvtQJEFbh5+4W0UgcPtUXF6FT+2I88TeIf7J4z9LZLCLZOwgALYiEZH7yPtVlKiXSM82wjt34EiiJVg7LSuO3ekjONRNfH8fX/z0F4j2DZD3K1hC4Iu6GXBtQ3HJxAZDtLujxFw+HFWj7FUJ9QXx7NmGO7ybxyNP0gzE8AQ0DrQ9BAKCboWd7UFkIWh4ZFAEiia1rD4uGd+KoiBLAo8m0xZ0ITQZX8TNAd9Bdin3ABDxtxQNRSjI19y/XUovh3yP4wiIB6+6w64qqz68KJpMV6ClMPtjbrr62taUI4HAteJW6AloDKoPIilSy5ImQEai5FOoeBX0qJueRwdRFQkroN5glWlLRtFcCrIiMRjpJJjwoLpkJCFQZImB/iSyIqMJD12dXfQlfETb/a33QV8Aocm4IiEKPgVHCBCwOxhnR9hDe8dVC6KEwPHI5P0qukelzaPxQEeIIX8vUbkH78r97ldkJFWiHmmtv7fnaqydx68ht3sQQNUl4/J1s3cgSrvcxV71IJ++7yke73yUqDdOZ5t/zS0yqexnd/szPBx6tPVsaRI9ATfdnjimJmG6Wtd21SVTEoLOQJivb3+O3r4EkiQRdmJs64nRbPfQiHvY9/Agh4biBMJuBuQB/vHTz7PvYAehFYt1xKWxfShKoucAXR3bCK64k3ruMLnNZtlsmvbvAC8Bs7fR9/Ujv+rc2+JfAH8F1Gl9sH5yE23+wbMwNcKUUBAYqF6HQ139t9V+NQ7ryCnQCxbLAzHyswt3Z7CbYObCOXrqGorVJPHVn/rgBtfQ/fWvs3ziNynM+GDs9Y9sTNOZBRLaOKcKIf6Xn/mFdesKf/3XjPV30+4p01stMdrv5yv+MH905j/yU7t+mpBrfbDuvm/8MsOvvsJiqoEz5CDOfhOe/N8+srFuscUWd40S8LepVMpIJpMvAIFUKvUBidAhlUqZgJlMrguY9qVSqebK/4vAXUm75gq5UEwbvWLi8spQbn3+JCHh8Wo0AhqdIQ9GWKNQqgGsCWQAipDpVfu4IiZ46J776I/20XSanFXPUjfrUDUQksAJuvjMoTb0ioE5XiQ142GHX/Ds/odYbpSQSjrIAm9QQ7MURM1ElTT8bvVq7XhJ0LUjTOrMAjIKXz74Kc4vX8AoRrE1B01W8Epein4VQ5IwZMH+B3ZwaUIno8wxGOvDVW4n35wgIASPdz7M1NIied2N1hVgqdSgWjX47MPbMGyHpmmx4KiYtsNSWObQoTAhr0btTBpfoZuacPApBj3bI7Cwh5nmFN3ebgqVGpIsuD+Z4L78LvqqXVixlrAsA33eTjq1brSeAPZYkSUMOoIaiW1h7OPzlEs6HrUlQH/5kW1k31bQhZ9QuMIuf4Dt+xLY+Qa5kTyORyEeczMv2ciqTEciRqDLjyvdqm6jyQLcKsn2ALFrYoZCPg1FlzFrDkIIepNx4lE30mzrZH8m8jQLB8toowbvV85gYyJUF9F2H9ViE0WVQYBXU9jZ1/qGBXwqsnDYVfUxnKuCJEASPBV7CiuoM1OykCoSQgjifhdxv4v5Qh2AuN+9NtXd391PbmYGVAlkiYNdYcYqFjMOBGMe3NUYWnwnusuFtGLt8oRcIAQPhp6gN2bSLkJ8JvActl8iO3f1ERRCwp3wUK/IdLm7kYUMwiR0Xzt2usqe6YPsSvjX7rlwV4CqCmrObF2/qBuPIzBsG9e2IHtlwWxWAcek3OZmuyPjl4LY6DRViX4O8tSOvZy5NEXJdgisKEayKvG5pwfRFqu4toeR3DLBYBR/0+JwYx85uURnby9drsuMFGo80fsEi8UzXCiPoSa8KJKGWqohSxKyUOnpvBcrNodZjqFVO4jV3ESlHhSPQU+0C61NInS0E901SUhTSHsU2n0xHuy6j3phEa1u8fyDg3znzBx2xYOr7IApkFUJRZHQLZuBrgByUQfA51KQvSp2UGNnKIJTfIAj2RPEvV46fD6e2vEQM8YEQSXIPiXBsjbBlNOyiB7oCOI1Wu+ZvTE/OyM2i+pS63x7VHrDfbQHvaiyhLcnQHcqx1y19SpMRh5hrjrMfa5e9uzppTvgYXGhhEf42NnWy3ypQMksoqkyoHFIeoT9j23HpUlkLuc5kynTMRCiow4hr8qkN87IRJ6gpbDd2E+JLKom01Ql/Pck8C82YBRCsp+uYCe7PTIKYYLxKO5OGUm3CMVXlFJZcM+uTvzOAPOuaTwhNz9zz0Nczl9i5GyJIoKh+N3NyrpZBSubSqX++W32Pcd661MXrQ8TAKlU6t+v/r8S03XPB7X5cWAidZlpxY3mgXhuic5Hn7rtPp453Mf/cxKaizYMwJzkxnGcdS4NHweObVMafQ9jRqbhcbPzM5+5rfbxp59hyu8jMb5AYWCecGkBgh9ebvnrN/41B6PQI55HvWZGSp+dJffeu8zuG+TZvnka7hjmoa+xI/M3BBsu/vD4H/HPn/itdX0JIXj21/4n/sMf/T7jzQQDZ/4K+fHfhtuIm9tiiy1+JPwU8HvJZPI48Le0JgnvlGsn+u7axF/UEyVXz9E+EGRmKkcp4SIQ9yKJ1feNw6djj9DoEXy3eRbN1WSnNcAkZ1FXlKw9vUl2qEm6O1sB3z58PNr9KBeyFxjNT7A6jynJEu6QC3t3lI5KjJwo4tPcyHtaroeqS8YsNiEPg11Bnku2Yl0eSj7K+0snEELgj7hJRlrJGgbD/QyG+3npwgLVuM3DwYdxF2SOdxsEDTdDcT/dPSEKchi9lsOreekcitBTCONp2miSxqC/k2mXyUBvmB9cXET3qQhJoEkCTZFYoGWFeSp5Y/xH2KWg2iZDbX4KJZttXV3Ee/zIioSnsRKDtTOC1TRRVJnePVEmzmbY7W1ZpIQi4QQ1DmgBtu+IE/e7KFYsllJ52ob2sb2zj7jHT9uXdnDlVIb9Enh8Wsulyafi6vBRL+t4I27cMwV0WnEfsW4/ZFqJqCp+lah6Y1D/PU/3M33pAZrHKgig/8FOrEpLeHa8Cmq3n+3hNsruRagCDgx1P4E/GUOdLOHoa+VJUXwaZlVH8ir0eFX2bIszf9mGeBjNgpDLh+YO0e4S1N/roSd21bIhr7j9SULwzOBhSlWZelNDCOh2tTxBusMerKCHhPUAcdkmFA5xzt06F9fS3u7jqWTL1c9QqygxD1ahuW4bf1gD0TrOVVczb1BrKQwdfqabJon+GCzWQEBPyMO2gRDzb88hcChHNe7X3ChCIAev7r/L20sw5gW/m6pl4u7140wW0fDi1jyIZARzNEvQq0Kzde78CS9a51WBO+FNgBd8He34VtxGg3k3SbfMUJufbY8expvzsL1tF2Niml7bRm7KPNrto62zl0Tfw3z7zBxFo06s2Tp3X9q9A23lOf3y7k9xrJ7B5dfoiXvoDXbiUTx8+UB/636UBM/s7+Tt2RC1KZNEKICqySS6fNRq5lrShwf6I1yRSwB09oeJefzsdNqRncd4OBrAJaskenrZaW9n2/ISGDYXvEUiskRhqUqb34UkC2zLwdQtwj6VSHgXMxNpnul9lq57Ohi7lAVAbfexfUeENt3iJKBJbh6K3EvUrbKzt5WcpdjlRTgOykoMXzwWZqnqZsbvo+TX6Ix7MXWLZSGQZQnE1QQWbkXm2e27Uc9JePDhwUesy4/c60coEm3uNj7b+SCi7ENoCs/v2s9StYn7mmdKeBRUWWVffB8JbwJhNlicnUWRFJSVe2w1/sy5y/abzSpYryWTyd8A3gLM1YUrcVI342Xg/wT+QzKZPAjMp1KpMkAymYwDfwF8KZVKGcATtD6Aczdr8+PC6GiGtNyD1eGjuzhOIHD79TL6Oh+iWzpGpdSaAVsMxigWi4TDG2cfulssz0yRsBbwL9SoHD6EvEn3wFWEEFgP3E/ba28wWu7j8MSbcO/PfqgxpcsNQsobFEyJrzy9Pkyw9N3vMRMN0OnOs58pGo/+Dtt3/SIL2e/yi343vz/+X/mVB79B1L0+E034sccY/LM/JbUcYYcrBVNHYeCxDzXOLbbY4u6SSqX++2QyKQGPAF8C/kUymRxLpVKby8SznmoymfSkUqk60A3cFbeBBzoeYDg7zFRpip3tAfaEdrFknqfT15p4UqIefBWDeDTG//BIB8v1ZdqtOOdKlzEFOA7E+oNI7vWfdlVWiXvijIpJvLKXcNv6FNb3+vZRkqtosoZ2TWZyJeRi375DGJJJeCUOqLOrh05pkXStlVxJ6QniumZu75nd7Vi2g7RUw5TqSMJESIKQfyUrmVtF1AWO4+A4DodCD+Ir6ihRD67+ELukVirnRMBFprxeIAfW4lPWfm8PY1UNtJkyn9vfSdCrEb7n6kHEuv2I8RV3LkUCVUaSBOo16ah3Hr46rxt1a8RXrEuhvXE828PsvOZ8ClUmMRAkPVWiY/tVjwdZkfBHWhN6uzoCjHhya+cMWpbGsEeDchP3imvY/f6HQLSO9/m9+xi9PLo2USr7Ne4bfJKm2URNtK6Xe3cMbSoA03kQAsmrIodcmJkaSBKubUEi7gi5em6tn3ibj6+1DXB0bh4hBN1dV7O/feW5Z1rnZIW2gIvdnUH6Yz40pbXdt8/McU/kKTq1a5SP3gDMQNQtIyyHTw3FENcIuV+8d30WSbW9pcQJj0Kkw0vVJROpgkttR5Fm8cg+3LKES4A/5MKlSGxP+NjR5m8Jzx1+BnQLSRI4FaOl1OZB0mTc98TxXpNB7zORp/HsTyBkQbFuoAdUkt0hBqM+HH2litqKXB1q87E/6qEUVNcUn1UOd2ycxDrgUhFC4HK5ub+zle3uuf7ncLY5ZOcblJdqiGu6stJpDqoySm8vsc6rymxv1Mu5bSGQVmQhp6XoydfEtvlcCvfE93Jy5h28auve8nlULAHOynYRdwRhTLcaSK37PRBz01WLIE+X1vpa61WV+ML+53l38n0ibglFlWjbdn2qgyA/98hXUV0yQmq5Kdt269ypmkxUk4FW/oDt28KY1yj4j+5pR1Mk3C6Fvj0xXN52QhkvZ7I1vCvvHVlpJRaJdPioYCMNhfEE3XxW+Sx2yaDWm8e5WEM4rUmK1QQ3AP3+NhbrdUzAo8ls9169Lz374i1LLdAXbGUZdAbdHI5/iqi/la1bkVZccVWJiHZ3sw5uVsFajQS91gfMAZ6+WYNUKvVOMpk8mUwm36GVGOM3ksnk14FiKpX6VjKZfB04lkwmm8Bp4O9SqZR9fZvbPJ5PPMOLARwBRtzLwGzxjqxObncXQ4E0bxT7iJfyTHV0kR4bI3zffXdhxDdn5tIFgnUJ2bKJ/+Sta1/djG3f+AbZ196gNOmFiTc+tIL1n998l32BPPOVHfjC618ahZe+z0xnnEd7JqloIfwP/BJoXvr7fwln4vdoq7n5d2/8Mf/HZ357XTshBM995av83vcsPm2PoZ7+S6QtBWuLLT7xrHxTdFpxVU1g4+I4H8wPga8Cf7ny98NYw26KJCT2xvdSNspAjnu6O7jWqUOJulGiLUHLhUy3vxtbtzAkwYxfJjMUoN+98We9N9CL3KtRmXTwBtdbG1RJJa5tXC5kKHFjzZ5D7YfWBMLBh9Z7HaiyhCqDvvJtc1b/rqxfdcMOuUK4JRVkieDhjrXjWuWhgRjWdTUeh+5vv2EsckAjENBwhV2tuJdbYNut/sRKRjFZltYlCuncHsblXd/HRn2G27yE4p4bavqs4lZlhvrCYF0ti9zbH+Sh/hiaAKvaEk498tXbUQiB5FOhvjaHzZ4D2zAaV4VXWW4l/oi7uteWqV0+1HYvDxoPYlgGE6WJDeWKT3V/6oZlkmv9sQkh2Nl+46Tv4X0JOjSNSr6Jy6Pg9rWE4+ZUCSvfWBNqr+1nI2SfSvC+dkKKhOvMHC7a+fzO/WTLFuUrJWzLwtXnpyfiaSU4uUZpW1WIbbeMP+Ii7ApRVCQ2LgPaiuIJeVQ+s7ej1c+NZZtAEvj7w2zWUazT38lC5ca5FVVeya7YpYDhEFmJd3pwIIY+dgajLhh48IEbUo2v3oduxU2Pv4eN6PB38HT4cVZVpFVFUMTcqC6FRNzDM06cV6eu5uTR3AqaW8G+NnPkNbtWZZVHtz9MMVgjENs4tfpqTCDA4MH1J08KaFBu3cOJvvX3S+QaS+ZqmYneti46nrLWrqGQBNv2xZgZXaZSbSJcMkKV1lwDFFVi344YLmv9xRWrcYpB7aql59r1G6TFF7KgJ3I1Dn8oPITpKTEQ3obv4I3vk4+STSlYqVTqKYBkMqmuWJw2RSqVuj5Y5ew1634X+N1NtPmxwTQajDXCSJqNE9bYXbrzgo+HBhq8fhaCmQpXevspnDgOH7OCNXvxHO2LUPd4GPrc5+6oj/ZD9zMSj+KfKWGMvYXqOHCHro4NwyK39Cco/XBv/3+3bl1zfIK5uRnUZIS9ygzje3+NIa31cevr/TrT03/GP/IJ/nDuW/yW+Zt4lPUvndBnP4PnlVe5Uoqy8+ILSF/8t6BsrjDmFlts8fGTTCb/BHic1gTe3wP/92Y8IpLJ5H3AvwH6ASOZTP4U8PPAf0omk78CTNGqqXXXONx+eE2B+SAkTWbg3seg3qD5Ae/OrkQ7VtheF1wvVv5XbiJobbhPIV3jtrgxakcr6cWBwQCpS9paxq+EN8FTfU+tvWOH7m/fUCCXJHFDiudbTUjeSrl6oPMBVEldnXRfi1nbfmi9q2EgemPNr5txM+VqFc+uq7PjTybb8KjymnAsrVjhEr2BNVcqgJ7H1wvZiiojKxK5+TkiHZ1IksSz/c/yveLS1XEIAYogrrSsdhPFiU0fw0Y4q0royvF96cBVZS543T2i9QZwOryIm9To2ohVIfjxoQT5mo4qqXSEVKpSCccW9ES8t7zOklvBszcG41moG9gba1hruDdwydw/FGU+V+Oe5OZqkK5yIHGA/fH9N10vKxKd11g1O0Juii7Iq2WqZoWAtrHH0tN9N7VVrMlD8koa9/u2RZjN11rW0RULqeZsLItI19xbq+d0NfkMQCixufmmaxVDz/44CEFi3KRhbu4dBayzGF/P9VfbsB16OnyogF0x1jaQfSqefXG6HYd62Vh7jm8HWZLZve/Ax5LdYVMKVjKZfBL4fcAF7Eomk/8SeCOVSr18F8f2Y8fs2EVmJPC5TaRGjb1dd54g8fMP7uD/PQNO3mZ2oJv88btTrPdmOLZNI/U2vsUKxYN7UG7TPXAVIQT67iSJt44xMauwMzcOsTurTfDCmXm642eomgpP7V9vCSt9/0UWwn7ujadxEPQ89mtr6xQlQP+2X8ayfpdEzcUfv/NNfvPx9VmYhabxk/v2cGR0gr3WEazRV5F335lSucUWW3wsvAD8RiqVatxOo1QqdZJW1sDreXaDZXcFWZKRNyjAeTPCnjhBp8kGpV5u7Pu6zGVClvAe2LimzYdByBJal592YG9XjKZ51d3v2gmsjyN2OO5ZcRl0QazLT6ht88rkR0HIs/H3MXJNZje4OuN/LYWlBZYmrmBbJvHebaiSyv39UQxrYwnx2vM5GB7ccJtb0biUxbEdvPdsZPK5bl+SQLg26wi1nohPW2ftiHX5SU+XWnE5H7RfVeaBgSjTuRoB99Vz5hoIYS7Xb7CoXY/Xo/KVJwdue8xiJQvhZnFWlL/3jSt4Z9/i84Ofv/19SgLP3jirD7dbldnRtl5RMx0Ty7FaSUJuQf/++DqF/k5YVaYf2RH8EracAAAgAElEQVT/gC3vDAc4U66hOwZP9kaxK8Y691OhSChAIHrnxyH7P57J8c2qf79Dyx1w1Tb6+7Ripba4Dc6cHyYtOzhhlf6FWdoH931wo5vQ0/0Q3aJJvSjhSBKTDfuDG32EZGeniRRLyLZN9PnnP1Rf3V/+CgDLsyEYP3LH/bz43tsMeKuY9h4kaf3DV3zpJXIxH3tDi5ztfRZPtG/d+p6eX0SRI3zVL/OtK99cezFeS/8XnueU9wANS6bw+r+/Yf0WW2zxySGVSn37dpWrf6h8UlLt2k1zw3fnY92P8VjPj9atutgsYtkWsW5/K+vej4DJ4iQvjr+IZW9+5t9esRJYZsspyrEseiJeBuK+Dbc/0HaA7eHtfG7gc+yK7rrtMTqmDbZD+fXXqZ87d9vt75Rwu5edhzs+0DK4ildT2NWxPgxADmi4BkI3KO3GUhW7dhPnq8wIlO9OLjVj9taJtw+0HdjQdfN6hCrd8rz8cOqHnM+cR5ZufV9rbuUGN8UfJZ4VZU+5RqmWViaATK+C2ubFsy++lp3yHxqbVbCMVCqVZeU9nkql0rRipLa4Dd4d00FAvidKdzZNW++dV5F2uRJs92coGhKYNrOe0IYftrvFzKXzePM2TZfG9q98uLipwaeeIRsJI88aMPn2HfUxnqnQoX0XTYK9g19ft06fnWV+YY6BYAafaGId/ic3tFcUHwMDv0avr0bQO8fb48dv2Ebt6uJRW+K80Yt/8R1so35HY91iiy222AjHcViemVoTptdh6pC+zE2CToD1rja27azFHN0u47Umlyq3936z6yaN4RyNpTK2s1480GTtpu5Rm8VxHJb1jSIvNsYqFDAzrVzjTavJ0bmjnF8+D0BjZARj4eMvbzJWGANaFodNc81F1ScnKX3/Jex669pYxSa1M2n0msFCsbXMo3hIRpN3ZBm81t3OrtbQp2duu49PIsZClcZI/obl0/UmtbnTG8odjuNgZrNrv5vNDIbRygaJ2bzlc7hK/eyNCup4rUnVainNXf6uG0rDrO3f3ryI7TgOfcE+Hu1+dNNt7iaT9SbDt3p/zJyAKz/k3p4Qh/uj6yy8klcl3aeQD7SyS14bV1W37I9Vzv2wbFbBmkgmk78DxJPJ5M8mk8n/Atwqg+AWG3ClEEDGwYq46a5lcbs37++9EXt7SzgCvItlZuIdFK95GdxtZs6dJLBYodrfifYhj8Pl9VLY1kMwXyJz9tSmXlzX8/en5uhru0jNUtg5tN6iVnn9CIthP7vDy8y4O7l37zMb9tHd/fMIEeUnAhZ/evQvNtzmsw/ex3cST+OSDBZ/8Ee3Pc4tttji4yOZTLqSyWT/j3ocm6WSy5KZnmTh7OkbVy6cgaULUFm6cd0GvDGa4TvnrtZKdhyHRqOJo+sf2PZsuUaqujnj30yuxmy+tpYq/OXJlzm5dHLdNs7oEfQf/AWOcefzsqO1Jm/ly2T0liXCzGRueSyVt49Sffe91rZ2S6EpNlsCcnVklBfOvshseX7Dto7j3JBgYxW9XmP0xDEM/cYMh5vFcRwc08bM3lqJXWjqjNeajFYblAxzTSm0a60aaGa+dY0ujmd5byJHqbHpEPk1is0ii9VFzmYL/P3k3IYxTcbcHI2Rkdvu+3aZylbJVTe4pkYDpo+DZXJk5ggzpZbiVzUtKpuIA7I3mrAATpZqXKzUqVg39tEcGSV7/NsU51r3UD5/jOXMEaxCBYa/A4vnb+PIWtQtm7PlGi8vl2653fLMFJePvXXDRItlmgwffYNydvmGNlF3FJ96jVWzugwrSppdr6/dM5vFchzeK1TWlMFrKetlXhx/kUxtpVhao7hObjtdqnH5Vu+PwhSNwjCF/BG6wje6614qHGc08+66ZTXL5qXl4lq/tm1hmQaG3sSxbfSpqU+c8rVZBeuXgRHgbeAhWoWBf+VuDerHkWajxJTlJeQyQBIMSh/ec+XZB7chO+DL1Bjr2Ubm1KmPYKQfjGPbOGePoxomwUcOfSR9hh5rzbzMTGqwPHpbbW3b4e0z79PvK2PYuxDX+SGXXnuNcsJNnyfP8OAXcMkbm5tl2c32wV9h0GOSlY9SaBRu2Cby7KepFuPUbYXG+391W+PcYostPj6SyeTXgJPAd1d+/0EymfzHP9pR3ZrG+Dj2+EWqZ05Seeut9SutFeH5OuuQZZpYRksotXUbM9f6tpTqV4Xt2YbO6VKNv3v9KIWXX7naeOJNGH/jhnE4lrVmJfkgTk3nOTmVX5ecaE3wWqE6fApbr/PuSJqz5fWCnu3YDGeHMaz1yoFu6pzIzq8pOuUVQbpm2Ti6TvXd96idvEaRaxRh+Upr/Ctt0kLiOzMzNK31gmoVASJNamn9OV4av8Lw0Te4XG3wQrqAsWoBXB6FZgWA/MI8pq5TXs6g2/Z6hcS2GD33l7w7c+M5hVYCCaveUsz06TL6TPkG17XKsWOU3z6DbVocL1QZrzcpmhbDGwmsQqBPT1NPt4r3WtfFZenT0zRSN1eMluvLHJ07yqmlU1x47zj14XNspK7UTp+hOXL1u9ys1ajnFtaE6nopz+L89E33M9/Qb66wm03QW/fExbEpzp3Y4NylL0FxFgpT1IzamiXy5WyJV7K3Vlb06WkunPg3nFl4ZcP1tm5zqVxnplSgMZrHKq88S9UKVWmWSml4ZZw62uk3qJ07jmPZUJonPTlOYXEB5k5iLw2j63VmLp6mWatuuK/F5s0V4HzhBOXyReYaOi+lrtC07LXnehWj2TqHy9OTNx5H08ReTZdey7XCLZYuAFB+9TXKr71+031D6zmsGTUcx+HSO+8ycf4ic02D15dzLDSvjsM0q2Src0zUm1wqzDFTyMDoK61rdBOK6UXyC3PrljXq85hm5RYDsrHMq+ervpKRc0k3aFQrpI69zci773DlxHGaV65QP38BY279PkhfhoVWbr1z5dotz//dYLPRer+w8nfVb0pdWbbxNP8WN3Du/EnSEnQGHIKVMtv6PjiA9IPYu/1ZusURlosaE/t7WX7/+ww999xHMNpbk52dJpCvYkkSg7/4Sx9Jn7ue/yJTf/znGIsKTL4FG6QGvhnHJ7IMhX+AS4KB3p9ft86qVJm9dJ7BgyaScAgfunUJnO7urzEy+ns8EWrwp6//Ff/0c+srBUhuN19yK7xj7+NTzfNkp8aIbbtzV88tttjirvEbwCHgByu/fxs4wif4u9W8cgXv0kkUb4xmthOfbSOuL2q+ItQujV8htzCHLMukyzWakQQNElRzRSRpAUVK4Egy08UIR944gau/lVTJojX7m1+YJ1pe2tCVrPjqiwih4nR9FaFtHBBuFYtUF+aZzM4QCg+tubLZK4VblxtFVMCvumhY01jCS+ryeTTRS9vgAJ3uVjaz8cIML85f4inL5FDbSoa2iTd5d/4Ur3m7CTbuJdm5g0bDwKo0aGZylKYuA/Dtis6908PsLV7ENMtIkgurLqidba0frVVpG/keDX0PiJYlwzSMtZnl2nVuWLkVIXCm0RIoG7aNaluY534I3hDKQz+3przVmxO8uaAzkVZ4Oh5kl5lHNNIsnT/CWMcODnY/hiZJ1CtlmpUK4Y5OamPzFMfnaPY8QbFpE3YcHKeVNe1kqcrhkA9jLo9VLsGlb+Hb/xC6rxUvbJQKvFg5Q3DJw2NLaZRYjJpj80K9Ssf8JJnDD9yQgLd+rqWIuJMbf0+PjbyKkGUkr3dNcZ+0KixXFwhMjLCtq4+Q2UQYRRz1qivb5Ik38GdO0PXYV8mIGRbeO4vhhOjo+tWN95PO0pgYZcenHkZWrkvkMfyd1t+9XyGReQfh2GBbIMlUGwUa42+jSRZybRY733eDWaBYSjOnqXSFfDgNE6HJ69zKzKV5HCuNyLxHKxnoVeyGgZkr4zSXMbVvYbt+An2q1KqntEJzcorXK6cx1TQHTRtRmcDwB9CEIDs3A46DZ/ldxhwPY3ENKmN0pJ9m6PBj61128xMsa8OYUi+KLFG1LOZfepmZjm6ePLSfZmOBJjDr3ga0JhKuR6xk7ly9B98azVBumOADY7FGo5ltJaxZSSjjVLLUbzHx7jjO2vN/NnOWhcoCQ+1PcrpYJTAzSy0zSbC7xLv6Ab7cuweA5eVXqdaz5KabnLPCVP0e/IZJpHZzD6r50RQAkc5WRsqaUcNacZMtZdLIqoovHGGxusibR76J7PFAusJI4x2C9+xgqjTF9thByMwQW3qHWv8TAFi2TcN2mKs1iQOOcZ0CtaJg6r5eTs/NoXq9/Fz1InTfB6Fu7jabVbCuzUup0rJiXeAT/KH6pPHK6UkQbehRN4Nz07Ttv3mqz82iqhEGvBmma92YjsRIJsfDH36oH8j0hbOElqqUOyP4um4/E89GxPv6OdkWo2t+EX30TbTD39h02++eW6Cn7TwNSyI59OV166pHj7Lgd/NoeIJL/iEODR64ZV+K4qez8xcQi/+RP579Oxzn128QQO57+gn+5bsFnjHPkPreHxD79d/f/IFuscUWHxdWKpXSk8nk6rT+nft0fQw4joPUXGzFL5lVpmYmKF84SzDeRrSrG7vRwDZ0Jk4cI7LjYebPjOBu92FZFsb8HPX0Mk5gnKXptzmbiOJZ7sDjuMgnfBjZJexGHsPl5bgjeGh2hqkrY7jUPP5wFNu2MKZOUlpOExg8RE/mXebVHRyZeofJvMZX9x7C55JpmhaWaRPwezn1w9cIWVm2S8NUzVOw859yMl/kXKbInojJsekXAfj89i+h4zBr1bEqRcZPn2K2cYAvFProyF+gHp9HqB7mQ00OrZTpMOdnsIoL+BwPIvUqjqhx8T0dqhVKeoYJ9znu8d8H+ClcfIuLU+O0RRbQevpwT84iGXFsdztXZt7CylcI+iJkXTKu82e5HCkTXc0EZ1pUC3ncoTCVZgnLtpAlGUUItNoytdf+jLP99yDPzNPNIr0POmsKbql+mVr5DGn9OU5OTTO2+AZP0UY+m0cww7Ju0uXWmDzbEnDDHZ3UplrFmculHCdLdZoiwP2NJqNLY/im3+cHyc+xr1amXnHo1HT8c+fI79yGValQb5SZrs7hNiF5LsrcyDBSqJflSoN5jwenOs9LSwpfG+ii9v77KO3tVKplbMch6DhgWWDbCE3DaDZQXW6Oj0/T38yx7cAhyg0Nj0thTD+GVV3gVENl31yKz04EUEoXMaIPrd2rklknt1wlODmB5c/i1GcQSprJ4y+gM83Oh/7Hdfe2vjiPXa2w8M4LRLr7yATbuUyIzyZaSptdN+Hya9iOTtHIc3YkRVG6QqaSgblh+poF7GYDby6O1edD9rgoZdLY9Sql9Fu8k4mwW+pl0N3PeHmUwECcbT1JAKoLCzRFKwU2QEM3mLo8hZwIwbkfkE+liHUsUx6fon33T4BoPYvG/AJNGWRgfjlPImFRq5aYzJ/BcHZiqW+yWBtk38QS5QAUazrV8A4KtQIX8pe4cqmNTwPLKx411txJRnQPU54Iu9tVXl4qUZNcOOllshNZHLezLpHFWL3JQrrAV7d5aTQNXsyX2bdSZ8CyLL71g5eYrSv0bdtOeniYzitnsR59hMrlk8iygQcw5qax5xfANwSym0o+h6JpyJZNeXGa4/IkDzsu9LZDDM+M4NLrFJZbFrtKdglbduN0qEhmGtizNrbG4gJ2Ko/RVKgPqOhWy1XzlaU8h2olDAuEI+MkwjjNBtg22aZButJkPF1BXTqPz1pEpBfJl1v72/2pJ5jMjKHYo8TzBlY9itLM8e7519DiYWaqP8Q3PE15+gzFK1mcoYc5Va9j6gauGjyJ4HLT5AHHIa2bKEIQA4r1NEtH/x1z1Qpy9y7wB1vWtk+KgpVKpX7r2t/JZFIG/vaujOjHlIsLCpLjsNTdxqETw7QP3qLuwW2woyvPG1e6kfJNRtQPF0S8WWbfep2hah358b0fWZ9CCJzkTtSpWSbfG2HnP9pcPSzLdjg+fJ7/+XCJprUTSVo/21p+/XUa7TKd7jKnhn6VPZvIoDO04xvML/wpeyJznJ08y4GB9UqZ9/BhIn/7bao+F66Jl7FME1m5s1S1W2yxxV3j7WQy+Z+BnmQy+b8CX6RVMPgTSTOVYr52kppdptsQmL4i5xbTiMU0DxgmvtOnSS9NomNxaeoCdqOK2ojhcsqIYhhT8lG0S0xUpqnpMOmrsTvfwdLx97AKeXACpOsyRUNj58Q8wwslJBY4EIqwMJLCOv9fsamTHT+B7Bi0m2O8PR4C3eDkcomOkIeTky1XtGcfP8TSlaPMqC580UVCtNwJXxl/j2Vy7B89Ske4nbHEfibmllgyKpStCqa9ouNmr5CZO0KbZWKG2tlWmqGznsOq53nxwmkG6yqmWURMXmS5XiPUmcQpjKJqSyxVloiaeTLCi6ocwJhfYLFQoOK36NAbVEsSilXEJy7hiCamqTOZrTCXX8LMlVnMzXBPYpymZSKwmFs4wlRnF5edebrzyyxWQ5ihHA8XjiL0HNKVH1AxZjhtdlDN5vBOjIMmMZkdo5TOkjcNFiIVzGyKcUbxkENt1jDq9TUXJ6fRJD3yAoo8imH1Yw//FfHZMjO7fpWjbx2hs/IOdt0gX4hwPJdh3izxrH8Sye5C100WJubocxWJuRfw1Bp8r9FLpdbALWZw4km8VoHdE/8Fadwip/0r5MUlLh97G8NsMlNoMv3yq9TGFtkecRHdF6Uy/AauQz+JnCsSzQ5TXJ5h3j5MtL0HV61l/ROSC7d6hfysgdWso9gm9UKB4vAJdMcha9kUJ6cYkofR6iYZl07+7F9iNh1CHZ+nvb+VIt62dYSxhN0waZTep5C+SKajj9rgT7D0yr8l0d6Oka5Cukqh+AOqQiE/FkHRz+HKFGn4wthOE6tUQPeepXnUwgqEmOvxUJ6bQvZlKCsTHJlLEQ7sIr/w91xcvJfIl36F16+MULB1wmqamC4xMj3D5KmLpK+coMvdwHZKyBSxmzqOR+NSfoZiXuU+sYQOXBQta9t8oY4vfY758iyZvITbr+AEMwjhwWUVuFyU0N15pGrL2mg5Lfe+M/lpFG2WBcXLodwsspUiuXCJvkGDou2iaj8LjsJ7755jW1+BJa2Onn+PUmWefH2eIWsv4+8fZ/nCZYLaIqeVdryVKjNakGA0gN28SKE2QXjidQoNL6P504QXT+ItTiF592AVS0iAXZ/mu+ogylvfwTILJOccXH0R1O0q89k5jl56k9mxGm2FEj37FOzK22Rr24k2wa4JupaPU3VczNdqxCun8I8NozqdOMVp7GPHuKwkEAfD2FqdS+fO0FiawXR1MDnXgzU5TL5c4rKk8qbpZufSOO2lMZxAmaB5ChJJHMdh7MR7zF04ioiDcGyS9hmkmXGK1m5MtyAazSGyCjYO+Uqd+csZ5qQm5LMkhu7hVcXCVdcZNEzeyS2jlI/weOkSVyoV5kUCf3EBj2lT6FYJtD12G0Uw7pzN1sG6vhpZJ3D7+T//G2aqHiCmmMxoKh2FZeKJD+8iCPDgoQ7+fBTkpSpjic51Jt+7gWPbqMMtX9v+n/zCR9p33/PPY7/yOoVpAcsjkEh+YJsTkzl2R17FJ0Oi7afXj9WymD5+lB17c1gIOu/72qbG4XIlkLRneUC8xN8c/U8cGPi9deuFLPOlzjZet+7jOftdpk69w+ADj2/6OLfYYou7TyqV+t+TyeSjwHla1qt/lkqljv2Ih3VTrFyOBiY1JBZcBapeD7nsInLAx9HFRZ4Dyk2dhjSFaQVBb5JeGAfAS4btgFWKoa/EDZk1nYI0jVrIIjltuKoZNFcYefEiS4sGs94lfG4TOTXMkt/PdicDjsNM0aFm5lH8edrPLKNaJs7eL2FMg9A1VMti8ZXv4HEqOM1ZKCwjHJtM6j0a0jj99TSJwjxSIEZ2YoqL6aN4rVmEAwuMITnQk11AFUUKjkEmG8KydOpz41yZyZDLzdMwNLxmEZcnguNOM5pfYMh4m6ahYZTzVAxBmzJLp21hlueQ1Ro4kClXqeWmcSyJAUNnu1PCqHqQUpdoGhaGkCgY47j8OopwaMzMMyvKBNSd1DXBcm6J4mKZuk/GCuSoyBNIeMEy8VnjVF//c+ZKKlLjEpHoIrNKmFh+jl5rBn85w3TNSyhqItkW/9/Lf8EuucpuxwfTi2QWsujNApaAyvIwolrGGjlPvnAJv96axW/qfdQkmRJpZsgTqviQxi7jt8p4tYv4zTSKZFOxmuw2L2MJNzktg2rbUKug6xne/P43iVZUfLJEqDkMGJTfyVCknclclaXse1QdG/+JIgeMYfzeBgXDhdwotxTxlfrIbqeJpWe4PKuQydhMVibpnv5dhuTTKNEOLGHSzGsU1QxlLYSey2A1iiiOyrEXXufLX8lCYYpcIoBcPI+dNkiraaKeVnFf69Rb5DPTqI6D1/ZQMk3KjRqyZSP5Mjh1E6FXEWULO7Iypvo8bfkyqXwfivku0nIdl79Al3uCpWUPl7IpbFFDKizzB3/2f1E3dYKBBCEcMmaJ0Rf+jli2SlhMsaTV0UgjeS2qlk2z1mTivT+jvS5zrtZkSezC8Unopk3TsAjlF2nKFrokoywvIzwGUWsGW5HQG0FQdRrL0xAAzbrA8rhKT/YYasTB65IpFGt4C+doyrvQM2k8uo3szGK19bOEYK5QwqpncddC5Buz2KqNNfbn1NMpfPoAC7kqiiuDIUw6GoJmdAdeK094MYNs5vFqRY4vXeapwrvILg+FXA7Q8eBHNwVVj8Hw9DCDLp0LeoiK0OgZmWPEKKLX3TgVk4S0hHd5GFU0qegzdKgBrFoX+qWzHEnpeEILBDQXjUaVpDEJSwLh9iKxTH1kDOXyFRoL79PrWWLG/dNkpuYoFrL45NY17509SlTPIuwlcDwoeo3q1BiWPsKVgsOCVmWomsMslbAlG6NSpeDMkSxNEjRkqs0GC404ji9GznqH3cUGE+YQes2ku/lN7GqMtPN1qnPD9HCahseivjhNRZi4LZ3eSgrH2UMzP4a6YsW9m2x22v3iNf87QJFWpfstNsFSdp55R2VbsDXL12OUUT4ii8fhXZ+nh6PM5wQjewbJT0wQHbz94oKbJTs7TThdohz1s/uhL36kfQ8+8ignIyGURWslDuuDFazvn19goO0shi3Ys3e9AtU4f555yeKZUIb3w4c43L35WKmHDv0zjr/7Eqr3NUzdQNHW+433/cTn+JtvTfO8/A7Lr//JloK1xRafEJLJ5K9ft2g1kvpgMpk8mEql/vDjHtNmcCybnGPToI5mSeSEhFXI4VYuYCxcpu5oGL40eaOCXX0PUdmBrdg4gFeTcUwBlolLrTFVbFLwCQ5pM/hlh0a1G+HIRBpjOE6dOlUG6nWassbUzAjvmxXi7SVcholVn0R2OTgGdKoLKJqJvvgXDDcGkEsJwuosec3Akh2Q8hjUcRfz5M79HQczM0hmHREzsSs1hmZHVjLyNRCKxN7KGc6r2xGNPLZcp+lI2LoOpQJGQWdJLYAiY2Fi29BrzVBrSgSLp9EdG5dZwZR1iobKQnqBbDBE0JlFVSXqlgttuY4sN3GExGLdRlV0VEUnWyqREEV8DiyFNRQjhCWDS1+mWtXR/BMM1Ra4rHvo1pqcz6UpmbMIISFoIOqtW2h58gxzVheDrinyeYMepYLuNIllMzQQVCUJP6BXatQLk8yrVWJOlmqtjpnXKbijxOtvMl8rYUkyvaVjyPVZNFlHcTfw1s+QtSrsdeo4gKWXiRXfIepkaNoS0op74kB9GMsWyKIJ1Ty6k0XoNRxHMJxeJOFooIZ42LeI5GiEqxINyUOimWHW1LEdkJan8YsGDg6qyJH0v4alDYEdx27UEbaEZINdLAIB3PVlIsYMeZ+FvTyLKVnYZoYMMrl6Bmkl/sURJoXmK0yfmKbmmyagPYxVzJMoTpP3OSw0JGLONI4eYz5XZLJqkTTd5AI+JMdBNkEtLuKuTmCg4JUq2HUvQsByZRnJVcVXUKhnZ+h1DChDU3KIu/IoIoghVcgvJxg0lrCFjVW5jOpqIktNfMYZTGWZqqPQNDx43TqmZaM4EpZlEqxP0+ZpYKWhS51jvNqHotfwNzWQoWKZ2JJKQ9dR5zN4ZRVL9SJbgppVxKmNo1oaiiHhVscoWQVEqYbjbwNbgOOgyPM4TQdsG9VuoNclcpU6ETuHpTlYpSpmvYRtm/ibFym4vXiMNJKuoVUauGNpHFkmODZLQjTBNFhLH1IYpmDUkByJ3PwiuiThb3MjlmZoynX2GCP4LBvdctCWBLoAu+EjXDHJkMASEpcyF7CDPtrMOh2ZWVzVaWyzglyfBqdOxush39SRhMBBoFBFVgzU9DGsppeylKVpNVCNK+Tyk8yaDu2u/XiEhLeShfoyjaBNtdrEkHTK6WPUdBu/SyIpX8GVExg26I7FsqQyWJ/DkQUVw2q5blo2ce0iPqNM1eyg3zlHI3MCj6uApOeY/sG/JiKBCOQ573KwDIv2RhW/00D2KUxcvkSWU3RNLDJw6DN4k3dPdtusi+BHE2jz3yjfeusotvCiRRR89Rrd0Y0LBN4JEW+CHvcyk41O5kNxRk+8z4N3UcEaeesIkVyR2uEeUD9a7d/jD1Ds7GDg4mWWT79FfIN6Vf8/e28eZdl1lXn+znSnN8SQETlKSmt8tiVLlm0JjI1tFZ7ABqooRgPGYKBggaGograhF00BC6gqCrq7ml5AMS26TAPLQDNjwEayMLaRJ9mybD1Jmco5MubhTXc4Q/9xX0RG5KSUlCnZJr9cuSLinnfPdM89b++z9/72dngfeP9nH+ZHXrrGqDqI1jsNrRv/cC9uv2Ayypl7wdchn4Jlr9m8nqW8w0vbXd77gT/jza/7+h3lcafD8+YC69MZEwsfohgOiLPL91yv4iqu4mnjbPeAzRisz58Mm+fBMFZEbgEZW3xoIV1J2jhEyAWZL7l/bp6G6mEFiGBx3u2ABkUAACAASURBVCPK8ZDSeaxZw8S7iMMQPb3CQVOg8pyeyNlwit3NnLSUjORe1nE4UTDBEgiBdyW9vMfiqCQAItT1CuHxSBiNUOIQ7eYheqVib+LwlSSIksoLlJcc7T2Idg2SpM96bplYG2Ksx0lPFcBVFsIQYcGsr1KkBSd9YLj+EYSLqFo9eqXB9Jt4KRjJkoYuKIHB4S5CNSiKBXKf4L1mvSzpc5goGhBsg/VyjbS0NGgghaAMYJ1HSYH0y7RkhfIKrQWDsMbeytKo5ijFCv3Fx2hIwZ3OgYy4/cQ8vrXGQO5CGE3wHicrNvwaZdnGRhXeebyEfX4JnKUOTwcX6vnLRhW3yMdAWyomEEiaLqfp+uQChAts9I5ilEWnfYTwFG4d7QZI7RDrOethgApLJGlMUsFACWSAylms7hG5Ca4bPcZAVpRj0oAXZR9FDQ5i1GeZcxCSgn4Jy0ozGdbYJEYUVYE3AQJEISeyAdY/RzG6DlWtETlLaUpwMfjAfk4ztDmyGqKVxNoAoWSj2sk74Qnsi+eYWwoksWTpiQ8zMRLktkKHBTLdoFgbslvM4HHYjZz51lH6A4eWFaryZPZxSixKeoLyOOdBOUbFEO0d7cl55mmgxyKsXN/ACVnTkktALYL1yCDJ1Kgm8PACpw/hG4EsCDIBbCPpC8HjtGfeFOwiJoTAvuGjSG9o9RW0HAhPlgwofQ4Iht5zOoAyPbzzzBRrhDKwNwhO2QJjBjgXOLCxgAcKMUS7AbCPUBTsU/dzZFCyf30VV55g1uQko0c46a9hvz2N7xWsVQPW7SKyvImsOQcFeFmR+xJESUy2tbMdrJ5g4DzGWXIlWdOK1d4y3g84aB6mihyxyrFaoQYVEsEgF6gq0AknMCYnSwZIVojjjOANa711YhsTcwpnExYHlrJypPEaAol1HmtnCW4Do1dpyBEESJY+wZptsLexRMw6U9Iw8JPQXiGXCmUhFBYlF7C+wapfoOkCrqq2vLCsCkjhkLLA9j0iSCIzoioHEASN5knW+7tQI8FAjQg4Vl3EjEwo3KjeV6zHhgK8xpUlC1WJBw73PsbysYd41TufYwWr0+kcvkCRAEK3271yEv0XAR54vA8hYzSdcPOxJ5i6/Y7LWv81uxfg+D7kasknThznSy5r7Tux+r73MQUcuOdlV6T+7O67EA8/wtF/PszM91w8DuuTx1e5uXUvkzowNfW155Qfv/8+br5uiQLDDS/5hvPUcHHcfts7mTv0XXxq4beAnQqWEIKvuO1W7l1/KW/y/8Shj32Q57/qDU+5jau4iqu4vOh2uz8N0Ol0NPBVQAfw1Lkb//Yitz6nOH78BAIQQYKA5vrDHIummUivo1w8TVlsEGdnqK57chHjG0REVGIVEPWJuQ/czEkooBAgPTSyZQYVICDJBOtDRTvrEUL9JX6X+TTDKnAWy/cZBEEaShyKJCpZKwUqaBweMZbuRHA0s3V8gICgWFugEhWOik0dV0jPQXucJFtlGOr+xBEQRlQOlCqYaBbnqMJlNSAuHE5YIOAc0BzRVAM8NduaLmoCjkLlRCHDOrdFWODxaGVpJH2mbMbuaoOYjAKITFEz4AsBQuBCSTOSOB/AjQiVpBS10EgIlKJHKXKEFSAUsXcQQItAO9vAOo9Acls4QiJKcCCDZMIOWNDxeK7qAWbNOXyQeB8IBJJ4DR3qOLXNZ+FESY5Fhwjh6tHK5hFi4YFFSsBse24iCHS6QCHyraOFXK5TmoL16Ez+pIDHuoDeikuuLSxxcRQAKzIcFUVYodQjkvIAueqRMWaxG1vTzpfZLITA0C+xerjCGoMYlYgoQlqHchWCBdBLxFFE4T3LdgOtJNJaQDJ0OZIzituIASF4rPM4oRABSkZoWgSgGssJI9FHIzlgFsFAfzhBrOqF78eMjZvrlbPWejUqgRQCDGTA06M+XvDoaFjP5xhGWUQQuBDo0SMOja01u/ls91erOFHP6yZZpadWaL212FBS2FMc2PhbvPTYokIWmkIPuVvMsVrUvprBOUAgZUUgUIocGTRaW6yDgmG9ZwAETyElfSR5lkPZwFqPbB9DcoboQ4e6zoCglS6zUk0iBGRJTS/vAyTRkDxIvPM4FBpNUS7iI4NB4BwoOU6hMFo8886G+v4oyhkVGSIISoY4pyDpUaERQeABW5ZIYUmbx7fa3S7zDVwfqerrYrwa0mQI4cxnkmhIQEIICCTTjVVUSPA+ICuH8DWrqZQWAjgBItQMhMVTy6X+lHGpebD+J/DjwMuBVwA/Afw+cBs7GQav4jw4vNZgdwgcmdjFDaeOM/vCl17W+m+5fRIdQC3lPByuHNmCs5bmE0cZZQl7Xv9vr0gbN3/N11JEEaMToY7Dugj++qHT3Lznk7gAt71oZ3qbam6OExuLdNpLfHD2FbxoZvdT7ssLD76aueEk100/ztrR0+eU73rTV3FsZR9GetY+9O6nXP9VXMVVXFH8v8C3U8uAAvhu4PM2ed1q6G3RL0skIQT2lH12rz5Gq1pkIu1RD6MWLtqNdTBr2Pg0IYB3/uwUWcC5AnApB0w0VxFBbAmDSlW1helJ4DezJIUwVpxq5GKAC+GMdWTzGuWOHiTRiOlo4dyKxQV+H8OFimrc3laxtih5JmuTHOfJKlxFz68zErVbnw/QSDdoxUOUsuyu6rxJBTvzcbkQaqUKiEwtTI/EgEKcyWnUiNeYDXWy4kCo3eLGiVi13Nmf7ePQujaV7M5XdhaKgJQOREAEUZ+0nwceT7lNwBfi4gmbt38WoN1c5WA0d9ZnilpJuFCeXjFWoEJttenJM7nNNufpQnA+MMwLrPOQ130xuqRWdCrKkDOohvSrIV7XzyP4scY9hqe2QFrn8d5jbRgrR2fegUKMGInejvvCNup9o4utsov12I0p0ZV0SOkpyQne4wNYUWLilR3rXYSdi3T7GtmO7e/YdoyGffIwwjpP5S0jMaASJYWo16QPgSztoXW5dX+cLVGIIQ5LRT6er/NjwBCXnKCKTrMhli4w9rpe5wMTzVXazdVzP7I1l2HrIEOWFS6UW/eeD5tX4+jMOnQ4HB67zWw4rPqUl0juKgjEfoAKO/cpIWolazsqkeN8wFcWttHdO1cruAEwOqeST550/ZngUqXxe7rd7k9t+/sPOp3O93W73fOvqqvYQl5aTlQZt2Q5x7Rh//ICe/buvaxt3H7z3VwTTnF8KefRa/Zc1rq344mPf5TpxRVGN7YR+++8Im3sv+X5PDI7xa7Ta5SPfYDoAnFYIQTe+/AjvOPFywzL/UTJ5I7y3n33oa71ZLpi9bZvfNrEH1Xj69kXfpP3fuQ/880Hd5JdmAMHeNFGTYO8a/nD2LJEXyBnzFU8O6h8xfGN4xxfPcnGsEe/EkS6zTXN67lt324a8VW2x39BONDtdl+x/UKn07n/uerMk6HRO8TKWGBxvnaTiUNFsSXYiU2Zt/5LeLK0ViI2rR3CX1zwhm1K0mWEP1uN2y5UniVgav30kn1WY6UhiUc4X7/H5xNez4en2yacO7aJ1vZ8Pzvbr/tTX9PblK1G2nva7V8pOC6uUO9QFqmtG0Y/BYE0bNk2z2r3TL1WnKnPhU0F6lz47ZanHXWdO4btVtjYXJrwvnnL5vt0dj35BRSop4tSjLbOHWqr7Lk4e65rRfIMNhNwXwxRso4XZ3PUXTo29aezFfZLRRIPL1ruqC7ZcVuMx6uocFuqi+Bi03DOHJ21X0SNK/teXqq0UXQ6nf9KnWg4UOfBevKd/Cp476f/GSsE2Z7aWLivt0K73b6sbbxw1wvZFz/IkXwfj85eRz4ckmRP/6W6EB5/z3s46Dy77tgL8sqQXEqlKG68geTkhzly7we45cu+97yf+/SJdQ6k9zJrAu34q84pP/G+v+em6SU2RMatL37z0+7PN7z8R/iL+34H3Xw/blCiGjsVqBe/6lV8+LFHeX36AMc+/kFuePnlod+/iktHbnP+5vG/5f/71J/y2eFDFPL8X6oi30M73MFbb/8m3nb3y4j0pRrwr+ILFB/tdDp3dbvdjwJ0Op07gY8+x326INZ7ZywEtUDz1A+FxA5zxBdE6NlThhCeZrZ+5oIPVH5w6dLMs4RGtvFcd+EZ4WwB/5KUq00Tqniae2sItWSpLtOaHZ9ICBsIiktK/fKMEMbWZ/zZsvyZLhEI297J7ZaxK4FayXkae8Ez2D5k8IDHi4u/lDKI2m3yrDY2rVTuSe6HnVayp4ri7CTulxmXuiV9HbWrxT3UU/EI8PNXqlNfTPj7TzwGzBLtSUjynD2pvOw06pnJmJw6BQv7KIeCD37sQV77qi+7rG0AqM88RGU0t7zx9Ze97u3Y94Y3EO7/MEufOskt3sN5XoL3PnyaF+z5GCHAbbe/bUeZH404eqzLG16+zN/ufRNfPTFxzv2XimaS8Ojgxbxy6uN89kPv4UWv25kJvv2G17N8/5+gZwOnP/i7VxWsZxGVq3j3J97Nbz78m2yIDfaUu3hd/0u4OT9IUs4QywQlPSPWORmd4sFGl4ey9/F/PfZ3/Pqn7+DnXvMu3vj8257rYVzFlcPXAz/U6XQG1O7wKbDc6XTeSh07/NT9hq8ghixuxUg8LQRfx5iM98tNFyJxCbn/vpCRnqiQZYm96SnM3limu0QD2EXr+YLXX8fWoSCe3CICY2VFMo5ZO6uqTUvq05yTeMGie57BjdElVnIJWoAPZEcKqglFOWvOKRY21OvgaSp157tfjJWssyGDx4QRVsSXpDxswQd0z+PbgjBm7zsHF1mLT2cvEIAJFRbxpIrS2TChDm4qLnBfCH7cX41EnGMl3opDfIrtPlWY8Ix23CfFpbII9jqdzoPASrfb/YNOp7Ov2+2uP+mNV0F3TjPtBCtxzE0njpDddNMVaWf2ZjDzYFcK/tGe5rVcXgVrZe4UM3OLjPZlqOdfWQXrplffw2cnfwlxKof5h2DfTlKQEAJ//ZlH+a7blhiUs6StfTvK+x/+MPG1BZH05C++tNxXF8Ndt/57No5/O/3B/+A2/5Ydm5SanORlZi/LocnepX/Ce4e8Qta9qziDh49+infd+xMcEce4Y9jhnuXv4PDgIAuTMV/6upv4qjv3Y9RY0AwBuzBk/WPzHPv4I7y3cR9/NP1+fuzD38YfP/wWfu3f/EfU1Wf2RYdut3vNc92Hp4I0k/in67ESQAVX8zBwAQHsPEgWSryQlLM7RQEdSgSBSsRbp/L+SeJ+nivIciw8lp4QXcKJdAjIcZrREPx5T8+9UBefQxdoHC6pZg3lhNxZRwhIUf/02yw5wY8JQc5WTM7WEbZpKZIwtgrVhXIjEIzAZeeOs+YbuLj1ZBOprxhJTa0KnNknn3TZuEB2pMRnimJfdK5r6IVwiQqt7l2gvjAOnJFix3zFPgc8pU0JSpxXSVLOY3yB6JvzKljZkZKgYHj9GWH7qShC2RO1BWVwc3r+rntf64qiViU263fjMQRfr0FxEatftOww6w4vK2wjohLRjmclq4DpBYop+cwU/m0udXJckQkF5ZO9D1v3+3Nd9sJ5yMouTZd/UsR+gBeaSkTjHLBP1SJ1ZU9HLqk3nU7nF4EfBn5sfOnfdTqd/37FevVFAucDx0dtrqHikajFLceeoP2SK8Px9/ybbuag85iFEQ/ay2/2/Mzv/x5JUdB8noLpK0sa2Z7ZzeqeGdrLGyx/5M/PKX90vk9T3sc1kWdP+tpzyk/+3Xu5eXqJeTnF3S/6imfcn6/svJwH1qdptk+w9Ol/Pqf8wBu/ko+5Ds9LFjn+yQ8+4/au4sLw1vN//+kv8633vpV1u8Y3n/geTh97O78mb+Cl33grv/a/vJqvfdk1W8oV1IyPZk+DmTfdwJ3/6xv5gbt/iN888jN8af82PtL/n7z6t97CymDtORzVVVwJdDqdr+l0On/S6XTe3+l0/mHz/3Pdrwuhar1k/FuohbJaW7og5MhvBYooLAqPxhL5bWQIVUCv74ylGRN/oUJFsjYiXqtdv9TAowa1AGiGJdLXrkubAvhFhaILBUIEjygd6fGS7HCBDGKLjU/mFxbOBaF2MwqbCgYYP9rq09lY1k3yUxGyuHCd0aLFLFeEEHZYF0QVEOUZwVeHAh1K9LqjWDtXIIeaYl0A6UJBFKrxswqIwtF4PCfZGGLOS1hxRqE5c2V8bTyFIYQtshPjR5iQY8IIE0bEi5bkZFm3NZ7Leq1YdKgQOAQSFSrEtgcmqoAo6jUVeUvkC3Soznmmm3WeH2ErDkYPPPGpMy6DauDQG46GPX88kRzfe4lGsh19kLknWrI0DpXgAxK5LR6rfm7ZsYr20Xp99ORON34R6vUvNtkNtr1X0tcWGnVWv8WYF0cEy4JununT+fp/sfd0vHbPfT1U7Uq4GTN5nvtNKIh9Hfsl3PjoxAekhWhjmyKUexpHSqJli8r9efsjODMHYsf4HfFaUQdbhYDqWRqHCxqHz3IP9eW5z25cjwx+y6XvfMrVdsbJdDxes+qIF5+cVOdC8y3DmXhUGewZBTwEcAHV37nnXWgvja7wweqlSuIv63a73wRsAHS73f8EXBmWgy8ifOSJJyhQzEzn5Dri+lPH2X3zzVekrRfN3Ma+eIFQeD7b2L21QV8ujP7xn/BScMM9d1x5P2bA3PlSZAgcef9Hzil772dOc/u+OpTi1lu/Y0dZCIGjn/soBxur/OO1X8nB7PynSk8FQghGyddQeHj40LnnCs17XkN+rIUUMPeBX3/G7V3F+dFbWuOHfud7+bX13+H2jduJj/0ovz24iVe/8iD/8B9fzde95BrUk7hACCWZ+PJruOPHXsfPNt/JO+a+hZ55hDf+3jfwmUOPPUsjuYpnCb8I/ArwQ8A7tv3/vMSw3IP0fkw3XAsQO8j1bCBaqmnKCYHGCUt2ytXJWcN2gcJv/cxOFcSLFukcjJWWTcFbbn2u/juZq4iWQI4E8UlLcsjDYYHztYuRcNSC2NjdSOYOF+ConqoJDcJYOfCbykpArzqyIyUy98jxkb1EEi9a0hNVrdCFgDca3XNESxVq4DAhJ6r66A2PDAITCoy3RGFMPe4DagTSWaSox14JjRp6NiU/Efz4b+jJGLNmSVYKFHaHsJUdLWkdHRH7OlYlECBY4sUKveqQhQPvkSMHIRD7EXHIx0L+GUUtbCqNAeRAEjYdhAI7yUlKv5NBQSr0uiU+vY2lDrc1Dsa9Ar8lSNYJeR3SBQT+DAGAtAg8qS9ougFiaMFD80hFdrTCLFmirTi9TaHUs6ybzJspxHgM2eECYXfKELEfkQzKrSHroccsglmz2HlNvGCJD1dkR8pt4xbIkacXFJpyPI5tCGfWkxUKQcD4HBU8IgjUyNE+1iNeK+v0Vk7iw5lnDKA2PEOpMNaTrBYMSn8O09x4UmvlTCgUgUPJLMeiFp6ADDsjEVSQBBSBwKqo833KAPGKJ1SuPjg4iyGwmbsxY13dt8bYmqJGHt1zbKf4FNstf1KQjp+J2m5B2hrDto0gQHzS0l+O8b5+50w/EMQZGno5/lfXVxH7ATE5morID9HBIwOUsSHpD0kXcqIVhyw8yWlbW6rOVtBKgSo8OE+0bMEHolChgsWE0ZZLn8JSL5BwpsNjLOg2Knh0sMTLFrNev+8heE6aSSCgNyxmzRKMIqCRSFQI6FCCgMR5ktUK7/2Ytv3c7/vkdEVy2uKkRm844rVNyv+d6o4KgcYF81JcHlyqgmU6nY5hPFudTmcGuLxZZr8I8WcPPABA64ZayN+7tsyePVeG5a8z3UG3HgFgONA80rt8rDdVWTB97Di9PW3S25+dXE/Xv/nN5HFM0V2F0U760L/67KPcMHGaYTFJa3anwpo/8gjJnjWkAPmyb7ts/fn+L30rHxloqomPsnH48R1lMo556bW3ccxO87zlqxasK4Gjj3T59j95C/ebB7hj4c3cf+qb0Ltm+IsffCU/+eYX0krOf9J8IahmxJ633ca3vuHt/PSJdyD0Ot9x31t5/4ceuEIjuIrnAA8CH+p2uw9v//9cd+pCCM4S55Zo0SFHYaeYoiTJYkG2MiDecEhbn7yq3KN9BUIhh57GYyWqqhOsGizGlRifk/oRsa+tIH0BA5WMXX4EKDU+YRYECYvDqdrdSihcFLGYTeNOKsQxQeNQQeNwTtIb0j46pOpLcqkYqATjPOlJj8gly8ogQokPm2x/gRiLHtQCVVHV/Y8WPcmJgMgDdlGSreS0TvbRPYuZg2S55LCZ5IRpoUOdNDg7UdE6VNE4WdGaGyJFbYUQUtQKqA1IV5CtDUhOFjQfH9HzGRsqRgWHCUU9r8HijUYEKIQkCINxARXqvUQGTyUC8aDArFiy4wVi5IBaWJYh1GeNIVApzZKeJChJX6VjYTogqkDrUEW0VufoEUB2rGB0IoKqJLUW7T3xokUP6qe9YKZICGTrOUFvCpGGJ6JdFMIAgrhfMDihaR0d0PBDVC6I5yzrZOgQagWsF8hOVGMLZkASyFYq1HqtBJueI162BKAQhpHJsFFE3PPEtkANSoL3yOCRwiNyX69NLZGhXp8q9+h1SS4NC6bFis6IrN1auRpB40SFPiUACVIRkTMUCuE92ZGS5uGKwTDmqNxF7BxCSOKFisbhAjOeExkqwCHLWhE5riYoDwvkQBIt1lUHITHLgsnjBU1X1MqKHFsGJVtarjQK5SsaGxsIVL3+gWXVBCmR3mP6tXKTHXY0lwsOJXtQw3pO42UII4Hw9eGrJhARSI/2mT7ex1hLUoHuGUIVEc97knmL6gfUQBAvwmikmV9pE6QkCIlQitQHhkQoXyuxgYgT0SQyBIyQ6GDRawFpA14G+tIgkBhfHxqUUnHaTIILpMcK9BBMURASRW0nHR984NDU74Co6vTYiQuAxsYapxWJzzHDAmdrBSY9VtE6OqRcFIhFiSoFIVJIa9HLFjkKREsFxuVoEQhW14cRCxZTlqjgyaXiWGOK1bgFgJcS0/OIwqJXHctqgvh0RbLgMGPx1YvaZVdby+SxIeqUwKxA1POE4AkozGmBWXJoqYhCha7qvHRmIxAvOdIFS+zy+p3UekuhT3xAmisbg3WpCtYvUTMIvqjT6fwN8DHg565Yr75I8OknStpeIHa3icqSGV8Sx1fmgUYqQl4zZDII5FLO+7uHLlvdn/uTP6E5GJIcsHD9lct6vR3XvegOFvdO0Tq1QfHQ32xdP7o8wFX/wA2JZ1d0LqHEsb/8czpTixxS+/nyzt2XrT+dmYM82L8FhOeJh37tnPKpr/4aPjO4nr1mncOf/PvL1u5VwGf++QG+44Nv55ReZObEd/GhlVfyA/fcxJ/9wCt44f6nz8gphKBx5x7e9O/ews+cfifNoPjxz/0wf/oX9112C/BVPCd4L3Ck0+nc/4XgIthoJsTHHWatPkk2a652WTMlC+kkUa8gEEjmR6TzJUY5ggCzUAudK4NGzeRxxGPmi7HFSBGkwS5EcEQjRpL0WCDKA2akCUKBVDQ2AgoIXiGEAmlASxCB9vyA0jQZmCaJq0htTm4bbKQxzbmElAoTSuJBgbCCeMHTT2I2BrOUw4i51jRKehABs2Ax3tO3DUoUqS9IioKZJ1ZYT9ssmElGpMRzICuFAJLK01yG48k0c41dmMqiRW1foFQsxTMoA9qPMMIiiGguePQaCANLKkWqwEbaJBAwTqCDxxQlE48NEMC6aXCsMY0qSlZMEyFACUfsLeuDCFUItAgYaREVtI5awNAwMUUc8ejkQQa2xcb6JD2VspZnLKuM9vGytuQtVygsUSgoBXgH6ohEYBnImFwZho2Y8gmDPhQxPJJhlj3pIY9eF8g8kPagkoooWMx8igqCMkSkjzuKOcViaBEdBzMKWAy+VCyYSdSSRwnQwSJwyBXHxqmMZM7SWMmpNKRZQit1VGVgbZSwGE2hJUSrYE9ntDfGbqeSsTVAsGAmWElmOJXtoTQJxB4rJD2ZYpwg84qoBOk9qgwYwAvDoxMHUUcrdj0+oFHmRMEyuWA5eKhXx/AgqfKIxWyGXpXWSqbWWJORLHhONPcQCDihieYDQSiCiWtl10hA46tAa67PYD2jqSxGCZQKLOqUY9FueusTTMyXHDgyJvcwktaxOiF2tlwQnXboDQ/S0FqtiF3A+5jYB1Ztm5lTA7L5Iccm9jNQGR6BFwphBekKxKc8q9UECyu78LK2tWRzBelcjupBtWRo5gN06TDkKFWhYlhOGkRAFAIn4l3okDAxP0KJ2tVRlQqlJAjByKZ0m9fUcYRaUMUahUMPLbKwpKcK4hOB2Em8lrWVymuINEEKUlciVgTBB9S6w84J1hIDOFZlzPpixuhkzNJyg5HQCCEY9hs8Fg5yRN8ISqJOR6z0W8TzgXjFYpYEc75Nfz5Dr0mSjYLmqQpdWnY/2iOMLAUxx+wuIl2ifEl1UtNeGhIddSAEGzohn49ZXWkTW4eRgcnTnp5NWHItvDD0hlPIQSAgUYUgzzX+sKE4nbJOxKJu01rooU1FkBIcrC6lJHM5ySmBHgaCjpCN6Su6p18qRccR4FXArUAJdLvd7pPmQO50Ov87NaV7AH54ky53XHYP8AuAA7rUSSDvBP4M2DQRPNTtdj9vXTouhhACx3ptrneBI9Zy48mjmOuuvaJtXn/DPtY+HlhbKbj/+Dw/eNflqXf+r/6KA8B1L25DdmUX5CZMnNC78SauPXqaY3/259x891uA2j3wZfvrOKhbX/Bd59x34lP/wFfc1OP3b/w2viV6alaNJ8Orrv+3PLjS5SXpX5MvvJNk9+xWWXb3XaS/mOFuEyzf96vccOfrLmvb/1LxkQ/ey488+i4UmuLo92HS5/Ge77uTlx68fOvQzGa87kf/Nb1fNfxK47/ynxfeRf7un+abvu31l53x8yqeVfwE8G3A3JN98PMBk8FgQu0mNRe3CCPJdLKBSzTxaoGlRZlLyibsqnI2dEqhImZGBZZNowAAIABJREFUa6yoiFIa5nUDEyTNXoHc8AQpiXWEdC1yuUF2ymEVhMUUMayYNxO0ZEF7tWQx3kUsPBOjIfPRBIiAFAEzcHghSUSOkA6nYigVloQGM7QeXSJRFbIBUjhW9QSzDxmyRmBQeeIoRksBHnoqpS8aZH7IQEcUOmE2XyNITeQDEujLjGYosePz39njA6TyiErhnEOJgMQxb2bRlUKSE4qUOCpRTrIbR1hsINt9jqQpOk+YihrM2HVW9CS7j/TRUY6dECxGbVTUIsgeZt6yvpKyMdOgWx7k1vgYsgKnPWbURyqBjwRmXdFXKQvlLDORoXFkwLVqBS8gkCDpEYIiz5rACKEEy7KJVZaZyrOMgVKSpU2SMGL0uGJd7CIRI5QGua4YxtMIC0Nimv0RbrmiJUuChiXTph1S4jKnrzIKHKOiRSOtcFVFPDfExoL1MqYVx4ykp1mtoYSkwoMK+FZM5R2xqxgtaHYv9smLET4I+lWbdtpHO0nWqyhjKFZidLtg2TSZrUZI4YmxOOuJyHFC4DcmGA5KRLvPqt7LvoclLfU4EJBKsl60kHOeA2qDYnUSGwpU5GpGd9NGVJZVE2O1RkYpkQ2ExLAUt8lHGZMGBtqiogq9ZlFALiJS5dACmjphnQLimPx0hXYlccgJqcE7R1+mTHQbtLVkotqD0qsMY6h0gnYFkWyj9GmMtizHE0yt9vHSYfsRs8eXGCmNlClTlQOvMHkAlZInLfJSs7tcJUOzlrdZ1yViuIKqplmLNanXOFRtRYoMCnBSEulA6Qx97RgozcR8ji49KsqZXo6hMqz7jLZ0aCGplKHXmCD4QHuxhBWPtQ10yDEiJVlyVJVgPZ6gzQBLAztvsFVgb28DuWIJxpPPKiYXKlbSfbTyJRZI8VIQe0GuE4TypNZQRdAsK4ZRykrepC9msVnMzPEFJkIJMibojMwFbGSxVUlrweGkpFelTIkRwgYGp2KQMH3CgR/SrzSL9ga87rOx0WCytYYMggUziUcgyxZJWCGiZNBMSTckIQ14IVg20/R6s/iyotXeQALrboZmXkLRIItOkSjBvGkRKUdcWKLjjlRVbIiI2TCAxZgT1x6kr++4orFOl6pg/RLw+m63e8n+M51O59XAzd1u9+WdTueFwO8A2xke/gd1AuMTnU7nPcAbgQHwR91u999fajufr/jEiZMMg+FgusHfcT3/6tgnadx6ZSmh79p/F3PxcQj7+HT/8gXvNR97nI2ZNi+88zWXrc5LwYHXvpbigw/Q//jROqO4lPzlZ7v86+fNM8ynmNj/gh2fL+fmaLRP4QM0737rZe/P97zk3/Atf/zLvGTfgKMf/206X/nOrTIhJS/8klfz+PKj3LL6IYKzCPV5lpjlCwzvu++veNcT/xst2+b08e/kFTe9gP/2DXcwmV3+ZM4yUnzdO97M4m9r/jD8Av+9/E+I3/Z843e+8Yue5vqLGJ8E7ut2u5cQTf3co/TQCAGrNEFBw0HkBfQdqZRUccpi3qCR9uiFjHhjN7G0nBBN+gUkYYB1GhkrBjpCFSWV0uyWU1C2KKUhMgsUcUQyUPT8NRRqA++nQC1hJczKaCtW3I+TwDoZyLymrWJCvI81XZ80Z5Eh6heEVDH0Eaqn8HGTKN+NlwNKG7CqiRy7HyJBKENyXJAEg5CCkU1YimKUKZkUhkFUYIuEvAzgHWVWP7q8bKNchUcyKlKMzlHKkhXTLJcRzkoGdop9siTaCGy0r8MmHpcXRFhmj/WxRuCEZFU1iVxEP99LQywShYJBiPB9h4oirjtaUqmScjSJkILeILBX9ZBBsp5cy6gaEq1GuEjibYLWFS3Zx/tAmU9Dr41Jc8yGJleClvNECSTHJEnUwBiHcylRUjI4bcjKWbS05H4AMhBFgetkmxMavA/0BxGuymm0Cjy+dksTglgbIuD0aA9Ga8jb5KJiQ1qaRU5ZTtCqJjCNAiFACoH2EVZabCkpxTUMkgXSkSWu2qz5CCss0iuEBDVoEkmHINDXKc1+G6EtK0g0dewffoQmMG0nmdcSn3iUkUytDcjELip7M0tqSCQ30GsBRx0/JozAOUPhUkZTKS1rKVRFbjNmpKYoplnHk4RVCm2wPqG9nsC0Z/qxAVVQDKRA+To2LViD9AnBKkwcyEWTfmmITYo/skRZCnKfMTXSlLLARxmimCKJVnCqiTMNhK/Qn9aESONTjSwExk6TqCZmIyM0VpAqwg4nGSrQseXGRzYoogq0QvgULyRCtpgWQ9ZlgQ71IYEVCpwk6NoNd9o3kVieEDGN0zmRgElpGThH2gv0ABFbetUEzbhC9VfJs72oSFIWAaMqAtDaqIgqQTPWaBMRlY7SzdJH04hSsqpEnm7CRE6RpUyulUg5wCzGrMo2wcbkfhKRlGAjvAWtPUZLGpFhLRQYUkaDCbyA632gKBSTwZDEkoFSyHICZR3BrLFkWhgPZTFD3zrStIerPENnMHKaab3OsCgRvk1qU04FgYkkWqZIYWuXPwq8kXinqdYkesOzHprkssWgFEz4iEj2MKJCnWizmjh8ETFKDO2gMXGDyEEyaLKaWkZJSRkECZKB9Kwyg4ws2eKQU/Hlzxe7HZcqAQ6AxzqdzqeoLVgAdLvdb7zIPV8B/On4c5/tdDpTnU6n3e12N7PvvXTb74vALi7dZfHzHn/88QeAmGuuE/R1wi3Hn2DXV73tirZ51967+MPW3yF7++j3FMfzkmuTZyaMnvjnjzC5tk7vxRNw87MTf7WJG1/2JTy4dxd7Ty7gj32c+anbGOZ/z/NiT2bPZQd84j1/yAsm5/lkfAv3PK9z2fszkUyQJa/g8dG9KPEebuy/A90884JOfM1X88Av/yWd/fM89NE/5UVf+vWXvQ//UnDvh/+edz7xk0yXs5w69p38hzfczXd/+fVX1KIkpeT73v6VrP4/kr+pfpZfET9L/BuCr/3eN1y1ZH1hQgPd8ffWlpL1JN9bzx2KdVaTFnEasV/EOCriZUfAE2clPrQxmUKr2uWFIMFFlKYgOe5oSIcrp6AxwEqDb0iUl/jhFDIIpJvCZjGTtkEOxBIKEqSEntvFdDwCl9KQI0wlKYwi9w5nNfEgQbQcIYPpYpa8cCRCQxtE4XAm0PS7kblEOAG0OaF6GBLk0LPBdWgrcU7gFCTGYWJFNpxi3g4QwWMiyDCokCL0LK7y0BvREAJtDFiBE55cNemlaxghiDIJQSOEr39WDcQGSB1TVSVKKho0EKxilMRVbQrtmFBTJKpJXvRBlbSUZKKaZSRGNKTjhiGkqslcGBARcHoK52OueSRjVUSMpKXpNe1YA9OsVAIpLfuiJj1TAglmtaQfJeANUnliaVAeZmVGmWTgUqoCIqCpImTZZJT2UGlAVAKhJE44XGmZNBkTDc1iOUQikEbi1qZJI4OJVhEEYmXQUtNnNyNdkNCgYWIGMmEpmyK1MySlZ6iXcEVGcA2SuEUmBFGVMImkcI4ycmg7g5aOyoxo4AgeQj4J0kO2jKgUDa3GilKoLZQORKyZtLPIlQSZKlxQoC0y0UwRMyws1aDBUDp6tCh1kymGAATpscEwKnYzoSKErui7GOENSSSRcTzm5RgSC402YBnVHBDj7XlCJsznE2SVJDIjQOK9RgqLtzE6jslVzTqiKokeTZNKiW8tk5WOQuxhSa2hVSBXe3Figpk4JiGAKKiweASr8STNwjCZx2SZQroGG75CY8miBKRkKkwykiWRq/0qqzwlyQri0CLyk4R4iZnFkmU7gdIlTg1o2IhlM0kuKppxSonC+4p5lYJrsqdsEJcVWbqGJbCswJQzrFWaWI6IQoK2k0waCDaglMfqDD1qYKQkqFPIqknf7iMaKzNCz5KYRaSdJHMNRAW+sQ4i0JIenbeIXEpTBhqZgjxH0GTAAYbOg4soxC7KYprCrGK0xwImVkilwTvSYhcTaYzQGyiriBKNTiQ30K7D5GSTwhWYeInKpuQepJIMVMrANcnSDOs9Unk0EiMlzTQmExrpNCm1i/NkFCPjCJ+PUGUDm1R13KUQNFSELabIoh4RJeYJDfrRK7qlX1TB6nQ6v9ztdv8D8N/Gl14B/NMl1r0X+Pi2v+fH1zaZCDfGbewDXgf85PjnK8dxXg3gp7rd7r2X2N7nFR58dJ3M76Z5U01q8bxTx9n7/Odf0Tank2nEgYJ9jyiOL+XcP7/Mtx7c9+Q3XgSHf/d3mQX2Xz+Ca152eTp6iZi59iCLe3ZxzbE5Fv7ot/m7L3snd++rjai33frd53x+4VN/Sefagk+/8Jt5qb4y9Js/8LJv51c/8gFuml3l2AO/zw3/6u1bZXGnw67lNvkehf3Qb8BVBetp4f4H7+fHHnkXM+UMK6e+h19/22t45c0zz0rbQgje9e1vYOX3LB8qf57/Q/0czd/QvPZ7z00HcBWf9/g/z3Nt77Pei0tE84nPEpo1IZJwBqEtWaWxOGyV0hJtYhMYltBSCmkU1gciXcdNRf09SCHAt8iQaL06pkYTCAHtOAJf58+JxhRV/VDH1uzXk4hyCkSF0iPSWJKGBidtRVnEtfKST1FrdqJWrsaIg6aoUmQ83nO3sXMIBNJHgMFK2GUUQoGiAaVAKsEe12CeIQmCCokREqMU1kiyqgE6kCpFv7Bo6hibpnYYWSHKmsRAK4kIHh00+LofDWFQQZIITfARIiimiNFB1XmwyorITyLjJVTIAE0UWlBBa5yqavNgRfi9mKCQQbJLGVAQ1BnJPgSNcxopBI1mhA8BRh6RGBokmComEoqg+2gv0MKAh9R4lBJILWiKKdbLOsIpGNjrG+TC42REM00QLNHwk+iQIoloTtbjFLZOyhspRYSiTURhHUlSP6PMzuJkTioSRCzIfBMVPBV1fqZI1wpAK0Q0E84ccwfAtUjUiNJLciQZglRliJYbP91NHjfBlElQSDRqi9xNAftpEiqDMBsom6CrJkp5NoRhv2oiHfioRHiBjzSRVHW+rBCwtj7APKCbjJNGjd+PCO2ncUQITqBkzEBPgJAcEAYMDMefnYqa9MqyZoKMxRaDY6QkUipCBKKaoAp9hErYrQ4wchsgJqmkwIia1XNznTVTg0GThnEeMdfYXOxY6mu4Oh5SyLLOiaYDpA2KImFSt7coCydFREaLgS2ZpIEIBhtv0NYOGWLWJQjZpKk8qW1AUEwEVcceabgmtCASJFGAMkFWGiUFLQ2pbSN9A5mpOj2YEBgEymoICmUkOskQBbSGdcrAoBmTX0zWc0RAOIEQbisRtdh86LKFLy1No/HeoA047/CjgEZgZSA1CqcECbpWNspdxIBJQevxQtN1dYlKSNx+EIJVmdOKUnIJxUgwJRKEhRBBNCaLSd0E6AGZa7Ffq9paKDY5TQQoz7RssFwp0niACjFKRRg/jSlgFCpa1cLZ2/BlxZNZsF4M0O12PwDQ6XR+qtvt/vwl1n32ka/gLPLHTqezG/gL4Ae63e7y+KTxZ7rd7p93Op1bgPd1Op2but1uyRcYjq+1udZKlmLQw4qZYkC7/fQD8i8VnRcchE86TgJ/9bknnrGCFX/ik6zumqRz94vhWU7GKoQge8ldlA92WfjAg/xF+xG++roF+vkuWgd2sgdWy8tMNo+TB821d3/LFevTa657OT/+gQMsFSeJ7bt5XvU2pFFb/b359V/N5x55nFvlxxj0V2k0p65YX74Y8dChz/Bjn/hRpu0kyfL38wc/+DpunG0+q32QUvBfvvVNfP+7LQ9Wv8AviJ8l/S3FK95+z7Paj6t4xvgn4A3U3hFQGwt+HPjD56xHF0GmJcPeNAgPsqY97pkDCBx73MRWEtWE1qaeg1aC63TNyjUwBd57WiICfP1l6zUh4iK5jWpsfVkHgyinQY3ANpnFM8JhlQehagnsLEyQ7Kg/bDpNBBASskijrMR5j5SbXHpnGtax4gCtOn+NCkjfJGjqlAtjhjcJNGNdK1lSElWTIMsd/dlMhFqo1lblm4rgpsDYOEsqMUpBufu8cxJi2EcDT8BsJiYWMP71glZtXUuzRCQEIoSLiX0L5Ji9UJyJDTZKbtUHgt2ihRsn/FVK0lACq1KkFFDspr0p3G6b7726zTBUROOKxFkKsFSCCc6kK5FSoLygAkQxg/SynkbJ+X2IXEqkAOOJtIBy13iN5mOroQWbkcXnnw+BQPiYEDSxaiGNJDKSJs3xWphAVtASQ3Is0ZjePBWGfqjYJdJtea8kotxVW28RxGKCPCpoukmcPL+3Tq6miOOIGRJQivb4+5qx5yoA/z977x1m11Ueev/W7vv0M2d6Vz1Wt2TLNjbG2PQSIEAoSQiEEAhJILlccgP3I5f2fKmXkC+E3CSEAE6AQMxHQglgg3HBNi6S1aVRGWmk6e30suu6f5zRaEZdtqQxRD89ep6jvdda+91rr731vmu9631Dk6hizsfGjgSpuXW1BYQ2ilYBRcWem7RY+BwsTcU9mddq4f3LuUAaKnSK1KnjfhSUAFOomNjMpapCk83zfmLNBMjQwmoEqW8cVAHfAq1+KvGyECD1+XcvCqAJaJi786iKAhrYqMi5eGvSBHG2lG0NKZEamJaKOfcunqynIEicjN7rNV7FDDaGr4I2d8/UUJVGlMRGZbUR4fmclkfj2aeFDThE0NFUG0OqLLyRBCYEJswZt1pD1IbEbhpZKwONMdRt6CDjIKHptGReV9ov5UIueWczki6WERbPFnYC4yf/kc1mE8D3gD8aGBi4F2BgYGD/wMDAt+Z+H5wr33UJ13xO8PTIEKXQos+ssKfusWLkOEr7szN0LpabO2+iXTkKwI4T5WfVVmHXLhL5AkGfgZJ9xeUQ75LJbr2Jsa52lKNFzNKX6TZC2o2Xn1Fu8Ov/zKrEFD+JbOYF7VdukloIwetWvIF7yxInepyxbd9ddD716lcxONGGIXz2PfrFKybHzyMnpkb53R//Dmaos6rwu3zx91511Y2rk6iK4LO/8hpWqR+koNb4ePhJtn3h4WvRBX+2+DrwJuCTwFbg94GPLaVA50PGOhtaSmhAEGn8DqLIIMXF/NcbsQ1sy2iUlSrCSyK8xNxs89nrtIoISczF7UsN/DgNBVYlpusYhnrKcDqNuKmRsM7UmDJz2qqlqNiagqYojRW2cyIQQRxpibPKq4iGQhcxGmGnCRuaXoeIYaE2IpAZnbjqpX4zTq3DnI6KMm9czR04K20iSobTcy4KhNsM/pw8odlYJQzOnZtRR11kHIFouN+dBw2FhLi06MTKXJuqUEHO3dQFtEFjPmR8Y3wRRBvPwI9y4fEpEG4TitDBaqxcKqqY689Gm5aM0qMm5w1wBUGbiM6tWi5Aqqeup6hYQQeNuZPFdIoYnSKGFAqBGkdXTwt6dQGRT7Y4/zREFIKW+YrSYNE7YWgKMWPxe9AhYqRFK6E4y16fIAre+SfdTaFiCf3UM2JuTkHEEU5zY8XJWHAv5x7KANTVJK4WQVqnldM45/t98vz52pWN7AFYQkcxFRRVoM4nKH+Gwcb8GCI0sOQl7pOSOoqdQolGz1ssZmrEzCu7T/5CBtbZcjdfLPcCbwTIZrObgdGBgYHSgvOfAj49MDAwH4M7m82+M5vNvn/udzvQRsNQ+5niG9saUe7Wd7nskgmyxwbRr7v8e4LOxg1tNzDcvAdLVSgVFKbdZ76/+/DnPkcoBO19BVhxZkj0q0H/pi2MtDah+iEvyj2NlLB+05nugbO7vomlBhzZ8g4M5ULD+tnxnhvezLaKSc0zOTHxT4uUbr2riw6lncl6lJbtX7yicvw8USiV+M1vvJuKWuL23Hv58/f/Auno5Q9mcSnoqsI//errWcHvM60W+SPv4+z9559eM7J+dkgPDAy8HTg6F432+cCrllimc2KbC5QtqTZWks73X/RpC0pCCLSFrtGhef76NBT6mDj/e6apYk65PjtCnF2rs4ROh4hhoKIoYs4wuvwoCJqETbS7+5RSd5XRUE4zjOaQpyVDfabK5mVGUxqBEXT1MvTXc3R7qpj780zRaKx4LH6qp7V3geYVBIqMowdpUpc1deyCWZNLuEVXjVLXUmccX2izPjskwYKk58JtRrhnXu/imtLmVp6fgWBCwAXGtiLEFQ9gdaG368ZsNvvE3N8nF/z7yWw2e96IggMDA48C27LZ7KPAZ4DfyWaz78hms7+YzWYjwK8B78pmsw/M/X038E3g5dls9iEa4drf+7PoHrjjQBEzhJWb+ymrFtcNHSG16fqrcu2YEcPOavSGKsqsw4OTuQtXOgsyDFEe+ymTba30XbcczKVZSbDjCZSVK6lEIqzf4+PUO4m29C4q48zO0ho5zqyMsWHLL1xxmdJWmvXpu/hRWVCJ72Zm7+OLzl/3ll9hV76D/voxRgavJa69EIEX8ltf/B+M2EO8dvrX+cjvvYXoFZ5ZulhMTeXLb38L15sfZEzP8eHaxxj4xvalFusaF4eZzWb7AH/O5dwBrs5M1zMgeseluaBKjXOuqDxXWOQOeG6/oGeNQGBH4xcueJkwL0O/n2xjKaKU+mbTBVYTLx5pNNzG4ks7HzaP334qhYdumoQSRlwLX17dfvatzPzvtLCJirMb16Z9eSLZyQWrZ0HqyuprUkK1bhKe1qd1v07Vq56ahDx9guE0LueYmfENcv4lTmBc4bnSC33xNjybxgcGBj502qGdC36fa037lc/mmkuNH/gM5ZvoDQT5qAAXVg8N0nHLzReufJm4be3NRB8ocTBm8bWnD/CG7pYLVzqNyrZtWOUy3voMxpqlcQ88SXbrrYzue4KVOyvE3Reecf7wl/+ONbFZ7km9nDc2Xfl9bgAfvvW3+PXv3cvLExpDg/9A8/pb5s+lX/ZyJr/4WbzWQcYe+Xu6ll++hMc/b0gp+fDf/w17Ej/hxbmX8D/e915M47lhXJ1EUxU+/8tv5v3/JnmYP+fD03/En3zrT7juNZuWWrRrnJ8/Am6k4SL4PSABfHZJJToPauoZzvQCIAllGUVEmLe6nGJjE5QRw+tqRh+ZvqiWYjqUPTCjUZxKBc9TcOoa0ZiLu7YPc/9Qw1gKG94RfksKtVxF1ObCujclUGeLNFkwWz95cyqOkcGsTcxfx13Wgep4qKMNuaRtzLexkMWyS0ItguLXSJmQn9s7Uu7puGhb07Nb0WuTKKpCGJy5ZyZtQW5ObmdNH8bhkcY+o5O3IiBlwsTcJh1LhfrcpL20DELbRM2VOBuer6GpPkJA0oAZT8OOxynnTk2E6oaB57pYsRj1cnmuXtAI5LFo489ixdVUGwrr9HkylAZGkkCLIOSp+w6jFnp3O+ZYjnqpQCh9JAFigYqmmxaeU0dXoNacAiHQJhoyhxGTiq9gyiqh3Qy+S6deYrwKoR5D8S68VcFvSxNvjZIPNMx9xy5Y3u1rQ6k66NN5TuryVT1DxJshiNnziq1uWuRdQSnUUDxJh+GgSZ16EBCs6yI1kqdWLpHzdWqhSqdRx410oDsziGDxWNRNA89xiepQ8U4dLys6CpJEooNqtYJQdUToESoXXrEyIxF000QCbq2Kb6bRnBwoGjLwCMIQTV08snUFapkU2lR+0fF42qI80ejrMGqh5s/sd6EoyDAkrjfGrHfm8F+EpDY3DhavxfiBShgKPE8jYocEQeMFCPwaBB5+pgW9VF9Ux1ndA0gS6NQGjqAIpbG3b9FmuIujEqhElYC4CaW5xzTrN6y1tOrh00gMfj4M9cpPCpx3BWtgYGDofH+vrGg/m3z/4HZKoclqu8ye/DSWWydTL5Nqa7tqMtzZcydpsRuhwK6jlWfUxom778ZXVVq7cpBdWpv3gN1D7vYSQgpS20fPOO8c+iaKgJnb33fZZuUuxLqW1bSaN/FIWScfeZj8sT3z54Sus3bDTQwUm1k7+G0q1cJVkelnkc/9yw/5ceRuVlWX87G3fQLzLHs5ngsIIfjMm97KazMfYtAa5SOjH2HHd/ZcuOI1loyBgYEfDQwMfGMuSNOdQM/AwMDHllisc6JqGkIRZ8xoJw0I9cZ+Al8Kjvop6mi0X99E2jwZ+8IHAlyzMYNrRiJzyawaik+YiKLdsgkn20Nl3SaclV14Xc34LaeMOpmKoVg6pgZhWxp181pi6TSWTKBFWyj3nfIccK1W1HQ/ifZVBJkERBrKpFAEYWcGt6cd/443kteT6FrApGdztKzidpya1ZeWQbyjiWa7oeikEzq+GqVas+ZnxmM6VFvWUXl+Y9+tovv4UUmoWlgqRCyDEhbbvWYeSazEVXRA4osy9UgSfU7DCbUIoWw4jEmhE23KEEkkiRpKwzDRAdWi2QYzohPqEaRqYMVi8ysiC1ckJPBkx42UPUFiTknzultQ1iyfzyOmmwZCCAKjMeknJTiuRq3e6CtFgB5PE4bg+w1BDV1gtLTQ2ZpG03VMO4KUkiD08fyGkVdyyzhGiNRVQJJLx6iHCsfdGMfrNicXxESkiaTZMIBOEmgxQMFracHJ9uD2tzPdtJJqcgWKqrCir41QlpGyhpLtJC49DMPCjNhkDIkxOYtIpwiaEvPjR9+Y5YFMH/fVUvjROIlMB7XUGtxIF6FTR0pQ1iw/57gP9RhxS9Ac08h0ZYld10Frc4qWhEV0btKhPQIzVoJ6egWtrRl8W8czT4U79IMAJRLHNlXQNRAKUrUIujoIVYsxxWZWbfS7LGnUq1rDjUwIBs02josUrmYTS6cBBd9oBKeaVS1yK3sAqFgdHBa9mHPusrpl0dueZtSMc0yLM1i3GfMiBAgKmkSywHoJfcqBQjHQ8I0IQSbe6LtM4zqK5uPaGUI1gme341ptSDtDhSggCYwkypzLWyp0KepNBKqKG2mEKGiywFBP6T5S1/DSi/cgSRxsU6U1AlG9UQdopEAAorpDTA+I6g6+LBDKPDG9gq01kmgjIEBworNxzZiqYccT2KkUPa0xWiMuyYiLFtGp9qxDqnMvhmiWupSaAAAgAElEQVQYiG60g1pmHZMxn5JwSHXEEcjGeA4cnGwPfmsaZ1U3UVUS+g0DyY10NcZS83LqqS7ySpLtfTcSJPuw7CgpE6KpVCOVgIQp3+CwEyOQcNIr2TfT8+PIjDZW92I66EvsIniNS+Tfn3gKgNtWmuyoC1aeGIKe3gvUurx0x7uZWD5EWtepzUjGzzIreD7CWo3gwYcY7u5iWVcSkksbZ+RbAz8ks3qaSpdO7v6nF+2BqQwfZ0VsiD2il5euvbph5D90629zXxlCqTC479OLzq1513vYO9tORDrseOzLV1WunxXuv/8g36h+Ck1qfPyOPyOZWRo31Evh4695M29r/kMOWcf50xMf4cff3rXUIl3jNLLZ7Iuy2eyP536r2Wz2R8B9wO5sNntmhJznCEIIos0d6JZJV1OEeMTEsG1oWYuvp/DsNsorb2Hm+s0Et6wg1a+z/HV3kbbAMHS8dCcV38OXJVRNJySkjkK6by2RrjUsu/kVRNfdiZdopda8jiDZhZ9JNqL9NS3Hvm4V3f0tJFNpjIxkxjtARypC1HVJNbeyvNZYsmltSrB6w3VMLzOZXtXJsqSge0USkegiGksSz7RR7b6e46HFIx3L+UmqA9QqASUm1NUko+2svG09a2+6i7ZUC75noPRez0Nr76LYsx7XSDLb01gdjunQ1ttN26qQ1IteiGxqxe9sprx2PWxYi37bi/CT7ci+ZUgrgppuxYzZJOyAdNIjbQn8jiaczj5yXpJJ0izbsAapWewvGsyY/aRMMDYvJ3nri/Ciy6hpvVRWX0/9+udRt5ooBSV8ReIrJlPRHmpmQNFsZ3ukjUPVBNL1cbqaqNiC5Xe9lUGR5nA9ira8G7trFaEaRagRfCNJJBIHNUC3I4SWQig8qlUFNYyT2PpCzJe+mVW/9WFSd2xGSlAjcSIaRPQZDLVCKMFDIdZtEsaj1GyTA1acnDTRNIXSTI1Iqh+zZyOxrpUkX/pWWjduJN3cjm+miGZMIsk41U6B1p4msvr5KPpqUpE++vpb0FQNLRKyXWklUq/RnIgjyx62oaEGPn53KwfLMazrX4rWlmL1zdfR19OKH48yvC7LQ+k2flR0kVISiVhMqe0IL4raFsVsytAeATvVgd2+HC/aimVHaOroI5OZS08Qa6fvl36f/nf/N5b/4p1ww1r8WCdFo53JTS/FiXWQSdjkajkKThFUh0AW8CMmvqxQoETUcIltvQVr5XpE5+249UZS60ATpEwIXI20p9BkQd+qdnZ0rqAgwkbESquhiEuhEbEtarbNtuU3oN71Bkq+jmVZVOJ9mB1ZTNvGsG003cDzDYY7NlK4/cXU/Bq+9HGki9/WTaQljh9KRh2LycRK9IzN8Xgv9sotyL4M0q3ixOLUrQJEdaJNjZQkoWajJpoZ23A7uS23kEstw7QttPYVjE8r7CunqIeQvuNVxFffjhFbTUd7C0osyb5IlrG4oBCfMyDcPB2ZKplkHS9oLL8JoDXi0NaaIt2VZmDldcz06kx3CzQ9R8auY61LEwZ1qrZGrCvLhB7lUEcvtUgUXUJz1Ka7rxVPrSMiNXTTJ7rFxkzqKPgYqoSUgdrRT3r5RtZv3oIjPQq9LejLOtG33sBhPUNFl9jtWdTOVhLt7eTUTZRz6pzB2yCnlCmMlxhZcRvHOrKU482MhUnyyT5EVxu+tDkS72RUmozbzUQjGsv6OhACHCWCazcWOXrv2oKiNqIZ+uuff0W/6c/N6eKfYQ4fs0kFgufftokPDU3y2qP3Ya25svmvzsbGF95M/qseDyvwz3uH+IMbV1240hzF++5DdV2c5VESNy6te+BYoUZb5FvYasiJ5T1c9/Ag9Z8+gP28xn6F41/6OGsMhy90v5bfj1zOTaQX5vk9NxJR1/JQ8QAvTD1IYXwPyfb1AJhdXUREN9POYVq2fx55528hrnDwjZ8lDg3M8E87P8Vo0wgfaf8YG9Ze/XfkmfLBV78V7d89/on/zedPfILhr/1PfvVNm68lI37u8P8CvzL3+/U0XAPXACng34HvL5FcFyazjJhpkEilSBx/HKdeY1pKDENDsxJ8o30dkcIIvWHIkRMWPR3HUN7z6zQ7Exx/+gjO5BRevkCuUkT1PQ4t68Pa+nLGA4+BPU/Ql46R7vGZGhTMjkRJrEpTW9mBPlliJr4cpeYS6ip7nWn6IzXUjS9CntgF6T4UK8G6O2/Fe+DLuN4gYn3A9rESudkEy6wy+i1befS+p8g8MU70+hQVbwp/ZTv7xnVSM2X8okOoRphxY7T5Pk1rbmTneBOldEBmRSdFJc6O9T3ctnwLrpcnaO9g6PgQN6zPcmRikHyHizJSpKBZ9HbaDEXW4yUraHYXIq8TipCpLTexbu8DVIMmgpVNTFq3Uq4FeNFdjNFPVbNQI7uZ2byK6lETdccuPNPgYLWbXkuhdWaIRKKJpr6tPD7hMhEmsI0RNsYGsVIWCcWkKpqpX3cTiUGV0dZuSl6RnOZQCFRGtBmOd/QzjkmbOMCGdVvQ9rcz2b8O5/H/IBIWqfT2orb0ohaHGC5Uqco0tbZOxgsRfusVNzNYn+EoVexV3SSX30rb6EPUfPD3z/Jtr5/BSIJX90wQrXiUDJOypVFWPSZ8k5mWLJ1TQ8hEFGfLOppG81h1laDXonC0wO5cgXUxBTvZh6rPsG/3FCNTGqOuiv7ytxHd+Qg/7GhhIBchOiO4yxyhM1mhaUMPR8YjbDua5jFzFeNjw9xpVGjt3Mw3gxYK0X3UIjFqM2MUO9q5Kx1QHKlSsAzMqEFifwF1tUIi8gqsosdYppUf56Z5ZWGW1lf+Ao899R/YfsB4XbCvAnfU64w9fAC/owXxgrsYLQyzX0tQzwg2lB9FIYTWDI70qAgFJZai0BzhxEgGvdrBHe09WE016pFW/NDBNELUEPRMC0p6E34wS/ddK7CGR8ntBD0WZapcww1d+letoF6u4pShWAsZmKyxriOk57WvY9f2vUyu7uXm61dx4KlvomZWkfvG/TiqwuHmFixFoSO7DAaPUFu7GrWvHyu/B1n1KfpttN55GzNDj1CfCZly29ncKxnVNKhNU+lOIYseaaGj1esE8Rj1WIqDzR10Tk4QFKrYnotm1xhWMjQLD103SHX0UxrdzbFjs2x43gaO1nVySgul6jB9qVGsmQI9cYFc1snAPp3ksd3omQzRle3MTpSQmoncdCfezACHmjaz45iPcYPk/S1lqk4RNzmF54ZgRGnesJrk8s3EU6vRf/BjQin4yyEN2XEbrxr8GrYKs039mLseQFmvkRjQmAgEiqiy9dZbcavTFCMZtk+2Uai1cDw0KHTXiEQnSRUGKQvJNrcfYY6wwdCZmh1nSvRSUiJEX7gaURmGQggyx0ihRldlEifazM23bOUB18EPXJ6iDSvVS374ceoFh8K663loStI1XSPa2kvTLb+CfqBO6dgA0b7VV/Rzfs3AuowcL4wyUmtmAx7TYhpXNVhz9DDNb3/LVZfl1ateS3X2CzzcsolvPT14SQbWxFe+Sjkapad1HLH2dVdQygvzpScfY23TMJ4XYaJ5BSu040z9/f9H75yBZeYeomwbZF783iWR7yO3/Tc+9NBvcntc4/Duv+CG9i/Nn7vhl36Z7d8+yEvNwzy95z42b3zZksj4XGNmuspffuPz7Ox6lF9QX8ObX/aGpRbpkvn91/0a/lcc7uYzqNN/ztF/fD9/8Pabsa9QpLRrXBK1gYGBI3O/XwH8y8DAQAjMZrNZ7zz1lpRkMskuV1ILBHYwzONHphnpTLAmO8WG9tfz5MEKuVydgtLM9pkZtMohAv84Mxxk47JfQJkpY3a0o+QmyU95+Olm8h3LebQM257eww3+MfZ0tbG6tc76ekjeV/j3skY92s/b+2G7PcuxehFr0mWyrYmRUKEoD2PGqrTkjnLcCIjsOog54ZK6tZvpYzspTbrsqnfwaLmJltI0VQ0OWRHWq1EOT/6EnNVCWWtnR3INCW+WuOfxQN91KBNHaCqMU99/gOpsDuv+xzi88pcQlsITSYvbV13H8XyBWacL/4G9jKcG2VWN49k3sWX3IYKpY+xZ38rw+AzpI1Pkl/WSq3sMl6OE6++imeOI+CQ/3nmc1FgBX0hOpGPUqgbpgkVHpsCOootrRag5NgM5A0Pby36tma0hqLljjIgepkKJYsWJr1lJPW+xsZpHjXgMz6QJggoTqU5+VIA2SpSVFNvHDlGxIkwn26i7OwnXdHHvdDvDew+h9/Zx+/A49XJAtNWiNlFEyDJDZDjoOLgVhb/Y9wi9fplth3V63JCOnbu5zvOplR32t2xkj9eKYxjsrhZZOQOhHsdIqezOrKbqGswYcXZYSWzlKKN7f0hz7XpuiRqM5BSO1kO2R1YwFbXY4uaZsn0m/Tp2tJ16KLnv0UFucgymbYWw4lIJBEN+hGp3GuVEEjeosiNhUa/nqEabeCi9gW0zgmOjRcpGHFmp4U+paLgc7UtQSm7kwRNV0sUKN8w8TsYMqL18OXq6hx9ODjKYL3GkVYcnx3hgNkaTrXN4cIZw+qeM+rMU6SYZ6oTKFHX3CLnRKtOxNvomYgwqcfao3fxiSw0RgKFJ7FiIVAWliTKzlQHKsUmq2iSHUilmUioFcyVPR2Js0aO0njjCyI/v5fC+ZmrNcYa7+qjkC2xydjEx6dET7SW/egMPHitRzgV8TwTcUHsSLZPg+MgxDlUO4e3z+E56gkhbhlEPCpNHCZpbqTU1cbQnxczxPB1jj1BLB5jhLIeaN3K0EnK7m2TIc3lqeoKu9ChjwQiR2QzKHRahrFL93jFk3wriMmD/lluIHh8hdATxTDOzR4/zgBuhYsXoNKYYmnIZ33uUowcGcS2b1sIkR0ab2NXi0FTvQPVCIp0JZnoPcTQwSRUmKSVWolYr5OsO1Xob0YpJaVKhFEp2TGrMOCaKgB/6RTrVLqq3StSBSU4UfA5mNjNeiTGYr7Eu0YFnwLDioZc89qY2Y7WYRI+Os6fSyXq3iigb5FWXRI+kVDrG6A/+BeXQGA6bOECKclGh4LZQ9qZwC/s5vnYDHdFWvi+GGF9xHVvcfRSOThJsXcHA+CzZuouwXMJqkd2qRcpoQXeqbC/sZ49sI3A86s0xNLvGQE3Sj2TvcJ1pJYmXjnNd//V85/4dpJqS6KNpYidm4AqGR7hmYF1GPv/I9/BoZ1NHlceHjwBZ1g0epP3226+6LB2xDpzWQ1j2jQyPBkgpL2qG3R0eIdyxg2Pr1/Ki1grELj1AxuVk27G7efeykBbt1SRfcBvH9hxl5RMH8XM5ioeepj86ybeMW3lN59Xb47aQO/ueR4u1hftLT/OS9E8ozOwgmWlEjOx45at48Et/S7V1CP8nfw3XDCycus/H/uZbbOv9Oqv8lXzsVz+61CI9Y/77W9+F/6U6X479A2rps/zOZ1w++Rs305U6d56ba1wVrGw2q9BIG/oq4M8WnHvO+qGGYZEh30WdrfOtjgDZvwkjVmJZX42BkXu478QWHEVDIthvJVk3JRksXE/L2Ahj+79LpZhmV6SDtRUPEQY4NYtdhU7i00chDKl4BkenDI55AXa1guFNMpNbD8o099gmiYHDzJRitCoVjhXTFKIa+x9TyTpx9PY4q6f2MTIwTcnV6cp5fHd6I3reR3oSsw62c4JpK0nRssnPTGHlIxQyJtKFmWiKvBFluVRAqPzY7MP59ldpmrVoNvOMlZuozM7iBTNsGzUpje6hBuSnJUfsKicKfaRVQVCFx5r7KWsObgWOD1YYVQwiM2PU0zaxUp4nD+TY2JLjx2NRusb2szvej1qOUXR0fFsSTOu4+5+kYK3mWHMLYVXD8+HQWBxHj1OouWyY3sVkxKLkhwhN4/CAwpjaiqmHRKtpnnSLVKp1QiRjSpTO6gx7k1GCAyOotRX40mMqWMO/Hk+yZ/wErhbSrs7gh1VC32dqz15OpDKMh03Y9YBqBDTpUTtRZGhsFrcWZUiJUU8bJAuSkVIXThhSjNpors2B4W5aIseIqRZeVVKtm8xE4iBDhkyDNakJKgfaOG7l0adG8fMlgrqFEzMYzytsi0QZmw4o1ky6zIBx6njTBXboCkFNEgYqA6bOLjVCORcQN3Rus4zGvqLAZXxPnkJzwMxoDjWUBJYKmoqUGoQa5WNjDKxYR8mbxpc1vpNcxebxMZ763jAb03vZofuAwX/WdG4q7mS4ZjKWMHGCOka5xNMzOlLoNM/omKN5jlb6UIQL9XFqNZVH0ivQyjW+V+thrVqhVLNZP3aEvdpNSF3h5sIJxlFJTx6ipmYoe5JqUKdadHjULHJL1WHkSJqBWAdhHRwURKhTdKZwYhkePzAGzgHq9esxNZfSrMtx4MhEATWQxEUNE4180SdOnJwTElKjPHyCH4iAkhVFiVaYKiZZ3ZzH07uYqNuok0M8XNXI6wl8B/Y+uRfbyVCLpJjYZVDpctjWsYWtNZ3r6rNM79nBhNPORjvGUGuZvLeJo2qMQChksIiWJ9gxepDmqseknWHk+AB7tRtRpieohCFPhp2syB3kfmUj++wuulo60RM2a/buYJ+yhuh1zfR7DuVSlQNTMWZSEpFXUVWHHflmDisaKT3JgGxn9VSd4WQO4ULgOjyU6qDu1xFBHTX0yceSHJhqp6XqUdASWIUJ6vFeDkVKdMbyPPrgvayecdju9DDZkqalBq5TQ1VCjhj9pNwSI8c1ds7spmyYHMakpaWFMZlGVAy0+ASBVHHdAnoUJu04uyol/HIMfVudkuODVIgxjltMsd+WDDevZmTGpxJIHAQ7DuxhqCXFdcEMq6RL+eDxK/pNv2ZgXUae3OmgS3jjC9bx5+M76ahNEIlH0SOXJwznpbLmNTfT//2QA/WQHw7N8JL+5gvWyX/z/0cC4TKD1POWdvXqkaPHWNH0BAJYveW9WJEu/vF7/8GqQ4fJfenvyU99nyYddmx6J6/Tl24o//Edf8g7v/9mXhg3OLjrL9h6Z2PPlVAUNr/ktezcOczN6iM8fXQnm5f91408J6Xko596gGMdX0RF429e/zcY6nMktu8zQAjBH/7a7+J90eXr8S9ys/wC7/prh0/+2lZu7G+6cAPXuFL8M7CNRqTa7w8MDAxks1kT+AfgoSWV7DyceOI+BrUohdBhZlLDViCo66z/+l4OyiZmkz4iqCNQoArfSVxHou4xVdNpdfbyVKyL8aLB8fQLaNUdHEvHqBQJNAuk5KjVhOKFMGXyQ1Ul0RIBN4TQZbLsMRl2YTk14qUclYiNMVPClWn2Rtuw6ypHElmK6CRsl13jJZScjkccBHgmjEooWTZ4IGZncIkgQwUR+gROiKbAoBEwU5ohplUYlSkOWRZRNUbdVggCtxFLLAg4UZCEhLiKQtmJEJY1ZgC14gMqe/UE4vhxwsDExcTN+yilErMYTAeC2lgzJVfjcEwnDAxCy4TQQ63A4bzGQT3LCa2VUJoNkzuoMypiBBHBZAQYnaHcX0JMmggMxtQuIGQfKdSZKrP2LEIEKEJlJGaTDpLk8ipqUSeUs+gyYDdpcg+P4hEgFBidbqUgc+xr78UNDEZdHRToD2YACAOX6aMV/NBCEEJoMTIjmTV6EXqS0AkxDYlSr+KiMBjPUEdjrGqDDcxFBjxSBGemi4rSTk6R/DRMIGIRKkmDUELFMBiedSn5GYQSMuxWQHgIoFZXEaIRHKEUKjhz+53LXp2DqkUoIfQlTtWhPBSgqAZeCEo9IAw8hFAQWkBxvMKgN4juVglVFQKYFDZT9QqHxwWayDU2AUmNp4hCECCLDsIICCo6YSgBl/FcgD0XiCCUBnjwpNqBIUOQFkWpsrcUo2BHyVlx6o6GUBS+r7RSKgksw0MLAsoygQgkCEnN8/lRdDnMBaEQgOYEOMLmG+arWeXnONDc1EjULSV4Ei2scWJKIlyNECicMCBQUMI6076KECEQEAYBvh+CcJCGRrWe4gdHm7i9uguR8nGrBqM1ATRCPVZq3ajSYQSLh0t9KEN1DC9kX+Bh1kY5kOtDocpkUOJIGKWi2I0IKzJkV3s/ajqDr4TMdDXj6SYPRdYQ1hrnfaEgheS7zcsJBLgVwVEtDVU41nsjrq+TLlXZ7ek01SaoOBKtIAlDlSA0mPGgooQMWr0YTpFdrRlCv4ioVYnUDGTgIgIHhKTqGuwWGaqolLVlAOwMo1SUHDtEB4OHFKp6iVIiyYjZhFoqU6Q6nzNr1jF4UtvAVDlBoCoIGhEId+e7ydRLHE/HoQqDmQgZKSg5GmHg46EyY0YJyiqIEAQUxqOoOEgZxS1N4QcpFCQOkh0GBLlZdkRiTLZ00a/E2Hz5P+XzXNsUcpkYKpzgWLGTFQGsXt3OY0Yvmw7uR9+0cclketnWd/Ki0R1I4LMPXTjimQxDZu/5BuPt7SyPjqCsf/2VF/I8/N1P/o6b4y56sIlIvBdFVWnfspnJlhamv/I1OuRedvs93PG8pV0Z2ti6jrXpO7m3pFCUPyU/u23+3Oq3/zpHp9oIQ8Hsj/5iCaVcev78b5+gGPtXjlkj/Mnz/5jO9NIGT7kcCEXwkXd8gNd7v8zjie30pL7Oe//hp/z70z9z+dF/bhgYGPhb4HXAW+YSDTMwMODQMK7+cCllOx9f3J7jcCFgSm8ocZUQ6oHCsJ5mKJqkHpwMFR6CDHFVjemozUGzmS/bNzDqpfAqBkFoMW4nyInGSmoYuISE1MJT7qvVQGPcsRpKuQznog1K6qbF4+0r8dFwg1MRBr1QUnJVhBtS8jVmZ9OE0pqPGC4UKEVOrdy6QZoQjbAchbzfMJZCyWBVMO0pDNWjeE6jfCXQCMRCVSSkHoAbnDqmVvw546pBvu4z5SzO9BIGjXsFmHAbE25+EG8YUQsYSaQZivaccTxYkNNn0F4NEzZIBSlVhPAQwifnK0xHYggxF51RBhAG7BENT48gtOejx00Qw5XBwmCOfD++mmO1aMO4muNYshGdMPAtQtm4ZznXsRIouC55y6ZoRFGccE6RDBnxoow5Z18tH9ZXkLMahtKsFWUmkqRuNsr6Xo2yoyBOhqgXp7xmT94XgBNKThohoQw54Wjk50Jhe3OKcRi4IF2Qc20IkKhsi3cjnRoEAaHbeCYj8RS+dAlkgBskcf00bhCnHiiNOw091JrfMITmCGVAJVg8eToUb6IR1E4SSo2CZYMMGXYaE9lShoyYNkXTYjISZzyW5Oyq7pnH6prObr8VT9Pwg1MT4wIfr74gBczc2AwDiRD+ojZcTUH1XURBQ6lKpsYDftK6AgCttDjg2P3xFTxo9nNMSTbaq1nUfZ+aCHkwvgxPKgTU2ONoVNzFMdUDfFzdIJQWvqEjRIAbnhrDoZzLsaYKqsHi/FCuqgGSnKsSyJApTycUCmGw+J2ohwpq1UeGKsgQpeIj/QDPncIN6jAXCj0MXJyqQHWdU3WDCAeirQDklTb8MMqRXGPiUcjFCYmdUGHCtebek1P9WRYGQ8kMYTWEvEIgBZMw/y0cTDVTsGzK0iCc+4yJAMJApRYmKVeTeAuSXXlBSChDKiWfgxWTHd4pea8E1wysy8QXHvkOVamzta3O4SOPUtTjbDq0n7YXvWjJZDJUg97I0+gJg91HqnOzQuem+vjjyIkJhpb10tPZA0b0vOWvJJPlHJr+nyRUyZp1vz1//K43vI0j2RVQrBOMqfxbx2u5o+nqJZg8F594wX/nobKG4xns2/HH85EOFdPkhltfya58O3cMf5fHB3cvsaRLw9337MMv/pCHU4/zG8t+nReuvmupRbpsCEXw0Xd+iNf6b+Kx5BOs6/ga/+vr2/jLewcWRby8xtVjLpXIrtOOfX5uL9ZzkqpTP+vxx4xuRsX5PRsrfgxCBTX0G7PuCwjlJd7yfPVTypp/lnxRF8IP4qjVU8pSgMSX4dxs/6ILXXrbl3pPC3CVK7xP8jzvfHgeN30hXEJ5ShF2ZUBwnvt0w2emvoUX2++n5RGav95Z8guFp4lZDjTC0D+zHOHcsztT9ksepxfJ6X0eLlDsz1tvgQHuBenzlDwLkkWG4qR79gBcoRDM2FFOJBZ7PHgL+s6X4dn7Jlx4H41rjTpnekuVgovz7qlr5y63sC+UokcYXvgd8mVIfUG5UF6Et4r0zzBYT9W/FNd72VhZP8frFigKITBev7LfgmsG1mVASsm2HSGahLe+ZD2PjBwDYN3RQ0tqYAHc8ba3sMp3CBzJfx44M4fUQnL33IOr68S6HTIv+72rJOHZ+fh9n+W2ZA3pZ2jpvHP+eCweJ7a2GyUumdiXoPXFv3nVcl+dj/5kP69e8Ra+U4IaO5gY+8H8uZXveg9HT7QhQyh994/wLmDo/rxx78PHKe5+gnva72Fr4kbe9/ylHVtXAkURfPKdH+Gt8lfZltjOmp67+dcH9vG+rz5N3bu4/9Cv8V+bdUruwoWu8V+KizaGrnGNq0gor9CWDHF1578UcW0F6znPtrGdHC72sBKfNWu6uc+J0Tk5TnNHG4qxtHtM2re8jlcOPYpUBZ++/9w5e4JCgeK99zHU38cqfQK976arKOViJitTjNf+jWVmyKr+9yLE4lmG26/rom1NnqCg8sbxK7tJ8VL44E3vY2e1iVnHZN+ejxMEjRlpNRblppe9hR2zndw1/QDf3PXIEkt69Xhq9yTD39vON3u+QJOe5i9f8WnUKz2DvEQIIfif7/hD3qu/jwORQzT3/R279u/jrZ/7KVOlK/shv8aVJ5vNfjqbzT6WzWYfzWazWy93+519mQsXusY5Ua6tFl/jGte4BBTlygaVvWZgXQY+d98PqKHysuWS2sF7eSy5nufteZrmVyxtDikAhOCGpiHMtMmR0ZBc5exJhwvf/S7C85hY1kbn9S++ykIu5qP3fZo7kzVkEKd7xVvPLPDIX6P3hNQsk/z//tPnjBtWzIjxwef9AV8pgNQmGdj91/PnulzWP0UAACAASURBVN75TtyhVrxQYfW33s9Q9ezuQD9PHDqeZ99XtvGd3s+R18v89cs/Q8pKXbjizzi//cvv5qPNnySnFfCWfQZldhuv++wjDIyXllq0azxDstnsHcCqgYGB5wHvAv7mcl+jXF86l+yfBzrK+aUW4b8s4owfVw7lHC5kJ9FO91e8gkjlMt6wvHzquHqF3C2fs4hn2ndXtp+uGVjPkoJTYP+hHhIhvOP1t/OTQ9txVYOtB3bT/cbnRn6fG9/9fp6fG4YQ/te3f3LGeSklM//8L8ym03QnJ2h+xQeWQMoGB2cPM1r9FmvsgGXdv4GqLvZdru3+IR36CD8WGziw5jrkoaNUHn10iaQ9k9eufA1C38iussnY9D9SyO0EQDEM1r/ng+wc7uL68AjfvvvjBM8Rw/BKMDZd5ad/+xQPdt3NYfsEn7rrU6xrXrfUYl01Xv/q1/B/Nn+OJi/FwZ7P0W19g1/6Pw/wwMDkUot2jWfGi2gkKWZgYGAfkM5ms4nzV7k0PPWZrXJeViVvAdoCzwGpK/QVZs4oExoNFSLunl92P65zep51LQzpKl3YLTJ2gbYBWqqls20NOjcLV9HjDlK9+D6UqiCIPnsXqcA++0p+0mlEmFMv6YYaSPX8Kt25vOm7ygVQNEJbP3uBBQpsW6V4xumE5hHEdBRNLLrGwt/KedRNRfjzskfVcxtQhipRlcrZ25jrzs6Fhva5vCUEZKrlc17nYglPe4YLXc5EIxLHBWgU0BUNRbvYMSjmx8hJpCoI7FNjsrt4/vfqYsavPM0NUBEX6XlyHmPn9G/AhcYrLO7Hk+Opo1w4f8MXKd+lVHsmXDOwniV/95OvcNxPclO8TNoO+arTRqxaYX1THCX63JiRNFbdzC8e+TZhxuR7e6pn7AmpPv44/tGjHF69gv7ubhR9afL4SCn5gx98hNelPAhS9K/+jTPKFL7+AeqBxgM3/C6JTSkqkQjHPvpHz5lVLEUo/Oldn+DreZ1qoLLjyd/B8xofg8SrXkmrspVpJ8rbTvwTn3noORsx+lkxMlnmoU89yuOdX+aJ+B4+cstHeGHPC5darKvO9Vs28KVf/FdeWriLfemHaOn6Kz789a9y92PHllq0a1w67cDUgn9PzB27bGRalFNR3ISCblQwDGeRjtgRVlHntI3WaglpKAi9UUcIEGcoN42y3aUc3UZjBbW7XmB5fprl+WnaFiiZvYUZ/LhBEG24tWuxJoKoRpOs0RkdQdEgU6vMNysEiKhGm1qlhcrCy4FQiAanvCU0oWBFNIKIhp+wkIZKb7mAGYaEtoqiKizPT9NbnqWrlKe/mp9XgFP1Ksvy00RdB4SKGYSN2X41RLZ7xGyfRNSnVfEWKbShpZ9SgOdWBxT1pM4tQGkokNKCMC6QtkpGrdHnnfIuaKuWSBvOGYq0UAWWOGVoKErjbzJ0mA/ecbJ9VcBC5XTugUptThhVI+NW6KgUiIaSROijqNBh1uZvRxONaIanHvSZyq4mFKQh5uVZiCJqSKkjFB0hQFE1FBUsPWBVdZrnWcdpVn0UzUEmNIQuTjUiFELbIIjphKZK1HNZnp+mvVyAOcN0jV4iHfPoba4hNNG4xbhGOKfIx1wHVQgUs9HGSWQEZAyCNg+pC5L1Gk26QxAzCWL63POv0VPPY2tFIhFBk1dkWX6aZL0238cKCk3JDvpjDjeFY4S2ijAUiEVAPWUoKHYNrbUCEpJufb7/GwILUNRGqHkBga0RpmVDmT/5LOMaYboRDny+3YUKe8TBMvMIRaDrJpaqzm9xUIVC29z7M/98VBVFNTGNJJZikjROuawpCiiqwrJYhbYmF0VVCGyNNYk6SX2xJ1IQ0YnoNWipEtc8BJKe4iw9xVminntKTqGgqUWUWAWhNwzZ2BkG7clRp0DMnjeChGi8M13lfMPQSanYusBPxUBXGhEktcaLkPSd+WYUtfGxaHdrWJoFioqphLwgNcpt7fvmr9pWLQECVSg0R53G81e0htiNhpBCZXlhGsMI5/pQ4McNFr74itJwF9ZP7ueaO6XpLn46hqVw6nkmrqyue83AehbU/BoPPqShSnjvq1dSeepu7s9s5Y5tP2X1e96z1OItYssrbmCl4uD7gj/7wQOLzk1/6W4c08Dudln+5k8sjYDAPQP/QVzdSa/ls3rVB1DVxRFxarvuo10d4t5gE7/xkpfz4nf8dw6vW4k6PMb0PfcskdRnsjq9ml/d8Dv846zAUyZ46uG3EQRVhBB0feKT5LanSep1bv6P9/PtgcNLLe5l5fhIke1/9Rj3d36RB5NP8YEbPsCbsm9aarGWjObWNH/xu3/Fh/l/UAgp9/4jX9z2Yd73tfuouud3dbnGc4rTp5cFzyYM3lmwlq/CMOvoZg1VDwnSNmZbGpk0kQkdVIU7nGk0zSRIRLGAfjFJJpODhEYm9BGagaZaDQVc0WiN+DT3hNzQO8srl9tscGdZFa0gu0yULoNVzR5t9Tp94XGSep6o8MHUaEmWybb20qlEiVgKdlwniBgknVrDSNEteoMSLZ1FDEsi0zoypePHdJplmdeGB3ljh8WyiMGKiMcqEbKpo4+UsFDiKdIZk+uzx+htlqR0l7aOGkYkQkZPklTzxDYoJLvrdMcmMWSIECatfpWbmhVaExHceASjLWBrvMqyaBMy1kKzcEmFPorq0GKW6Wrup7VeoqlWYbkX0uLWeHNsmpRuIZSG1hbEDSK6Sq/us0zJc1tLnZe/IMbz4/tZXpghpWhENR9pSjwzCooBqLRmNH4pXSBiBRAzsFQNTIWmJpVmUUVTNJKuQ79aZoXhsDGi0xW4yKb4/FDq6x4hEq+jaxWiiktcenR5VSIipMObQBOS/kgVKyYRlknSiGAIFaNVIpsVeuujbFUK3JGcIrA1jE4wkg5SV0AYpEOX19eP0VMugm1g22Xa7ZCUVqGvVOQ26fPqLUfYfMcE5pZebtJDki2CF5gj3NguWNMdJ9ndjp+MQFyCImg3qqzRc6w1ZkkGIb3xPC9YfoBbnmdxB8NsjR8jG2+sIKm6AF3DiBZo1woIO0ratuhXB1ldGUaPCpR4iJ6p0RIW6JPTNEUcVmuzbFxh0s00TWGNNzBBb2uN5b0zrGuqc+eLX42mCDL1ClE9BKFgAJ1JnXpbP4XsFlQzQRgzMKIW1yfSbHbKWGFAkFTYED1BrzVDaKm0tKp0+w7drg8ZSdiUQERTCEXQZDp0qbMs62wY7oquQySBoinY6QRdVhw1FqU36tIWuqzoKtD7f9s77zg5iivxf3tyzrMzm6NU0ipngTIiiGSihc+cAxinwwFnfuZsDmNz53gO+M74wNhgY/tsjBEgokSQEEICFBBCpYCkXWm1Oc/s5P79MSNptdoFIa80o1N/P5/97ExX1+7r19VV/apevefpRdGZMVp12H3F1CaiqBYTqlmHH4XJmS7QGbClE5THuvEmwKh3YA6GmVJtY87YGkrTGQyGNBmHBZPJhk6BevsArmAYk9nPRJeC8PRQ1t+HOzGAVU2hN+gpd3mYOd5DuHSAoCGCoboLo3uAUKSXunQnV5UnMPq8pLxGFCWDJZhADdgx67IriEa9DoMxgSccwe9I49H343J40BeXoFjtVGGjQo2id1ipsvVRpz9E0GxhTDpDjc5KkUMhYzVjcDop1rWBPw7BKEZLhrqkQq0tzMSUnupINwuSDTiVJGFHK47cpIBPacGVSlLS38tUVweqzpBLUuZE0SmEowMUp3Q4LHYmOLqZGe7EH/Cg6PWYfSaMPh8mlwubmuHi/l2EPQkyVj3+RAQbaazFXow6IyGLCdWgQ7XrqfW2j2YXfhxaouF/gN+ue5idsRKmWvqZMXky991/P/HapSw8tA/X9On5Fu8YSq//Cjf8883cNnU5D66P8uXzkzgtRuJ79hB54QX2jB9HbWkIsyeYF/lao6387NW7+HpxBoNaR2nFdceeoKp0//nzKDoD62Z/ng84rOAYgzg3QMceH8nvfQ/fBReg9xTGHp9PT7mRVfte5IGOrXwssJ3X1n6IqXPvw1xaSvBTd3LosS8yt3If9919Cxu/eR+zikP5Fvkf5q03W2n840b+XHo/WxySW2ffyvXjr8+3WHlHp1P48Mc+xLytC3ng6V/yaOAp1kS/xqX/M487ln2ZhbW1+RZR4705yLErViVA82j+A7PNQaWjh2Rax0G8+EJeZlVPYvtrW9mbPoTwWfC2hykv8tEYS+AtddOu6PjgnBq6D/bx9vomwhkjaZMJaYritMEsfZI5l5xPX+9blEXq6d39FKlAEIc1jcHs4MLzFvD9lS9gN/ipr9LR3e6moS9JpX88NR4fLlcNje1GLLYGoi49xdZ+Ei4bJZYQYzzFKNW78NPGphYH7lSUqLWa88x9jPNW0VV2IcaDBzE7zExdKEhkFA72DXDfm7sxkWLylE+xY9N+FjS9ias0RmdiEtGUnyqjicmzTDwuW3AbS+k1+Shq2YrqdGIJB2ltjmMxRllaFmGi284GQwB7by9mxU6xPUmpCaKZNONKQzR0xpjYs5OW4Fz2qVaCddOZ0t7PKz170dkdTA850Ft7SXa5aG3rwVXdy/wpV1BhfZO3wlYqSy5n9d7d6BMNdCsWunt1+JO9+N0VLJw6jZcbU8RiEXxvbSfpNFHrTdJd7GVrv4frKidhj27B7WniCemmwlfChCIPu19dQQa40hVii9dB++uNRAIJdOYU4yfZMSWKiBjibNrrIpTqYnyyl93WSlraM5TbVJSgFSXZxMz2LTicYZrt9Vgx4nbo6euzo9clmW7sxFvhw9rZw7JkCX+xKJh1CepnzORAyw6Sb/UTCpmwls0inEhQW3cxA1Nep7RvO1EmYTzop9pdTTKo5y+b1xNPpQgYuqmw7ccX8RNJDlBmiFAxvRy3PohO7WHa4kr6mpqI9/TQ63RRHmhkQ38VIZeezy2ayab9Vt5p7kQpLSbiP4S/a4CIPY1bpxK0Bih3b0CXKaWyXnB+6HxeLV6F+dA7uDJTKI7toMgTYVJdMSVFE9BvfJ6tHQZCThWnz4NoOIBwpthf7qLlnW7OSyfY0JVhYnk1Ab0N18wIqU1txJwpJgsvB8IhMh2NzJ9qp+HlNmSTmanOPl6xlZHqtNKXzmC3RTHruzE5wKJmSMSNoDMTtnuJp8PU+p38yxQXjU88SYvHTvWCZTy5fQ3VXf0oLh0TpghEvaB7z2sofeC16yhS9MxOD1CR7qK9xkbGPIUBs56mVJrPX305iqLwv7YtrO1vYGrqEJZkiLd6LRgMJjzJDB6Lglgyg9efWYniclLW38WE1DvsNo9nVjiM3bSf9EwHLzvdmCLNpFWVVNpIONSFEOM5FLNwoMdEb38vF3gPkOnTkewx85LFitnsYWJ0Pf7yGPb2Srx1S2jsNrM63k5nRkdA76E/4sFtjdOpbsSNii/gwuKoJdLRxrbuJqoCPlKZBIvH99HW5KU97ebGc8fhbHKj7NnLK/E0voyfSTojrlk+ZDzFJaZtKJ3gPbSD5/uL0TtcXHvpTWx46ln643HQ6bFPrGFs1E+mu4dz+/ayV+nAYwlispfjjrbgUVOEStvoG3AS6bPjqSgm6fXhG9Bz3awo29oCJO0G0skuzIeMRGM6rIbdVIVrRrMLPw7NwDpJoskojz+bJg18+QPFZN58mF95L6XmQAMXXXlZvsU7HoOJuTO91BlTvNOt47MPreD3N17DgR9+n7ReR2qMiSk3/kdeRMuoGW556lYu8fRi06eZOuOH6HTHNs2Ov95FsfEQD6UX8pVLjup32sfuZKW8Ae/TXWz57GeY9tAfs0vZecagM/DrZT/jsr9eyx9bIvxTcBcb1l3B5On/heeaq4lt3kB04D6udW3kJ9//V5y3/4hxXne+xT5pVj2xk+SG1/lR9a9pN3Vz57w7ubLuynyLVVBUTi7hVnEHCx64gBWRP7Has5YvvPQKE99Yxg+XfYliZ34mNzROiGeAO4B7hBDTgCYp5ahGLZkRmoEse4aoZyz1Tht2Y4bL60rYYDYhD27DSITyyZNZ3u9nwKKnYdtW/MYOwkVBFo2bT+W+p+iKqfSGHVTF9pGw2iixlzHGVwm+SrpboyQrQmTsVtwig5oBj7uYRdMn8NahLkIlNj5SVcyf3uqlwuVi/pggaxSVlL0Le6qE5q4kIX+awPQiHK2VVBmNKEVF1CVexRHspdExHkesjonNSXRK1r2porKCYLkThzWbRyejqkz3BPDbHYwNjqVi0RgibRNw9b/Fk/0VxFMGzDVjGVddytjKJL0DCTZnGuiJ7CG4uIqpE+ejf7ON2QPdLLP30eMycV7ZVGhvor2nl7aYBV1/gGp/EQ6HneK6eUy0u8mMm0esuZuiYDX/tNBLZUMFdSEHvn2v0mwoZWNGR5cSRSmpxmB04TcWc9GMcVBcQqjKy7PtA6TeSmPt6cJdkmDphfMw6o1MiTSSVN3ovVbGGhswpGZTNhY+5KzCmYZUMojVqeeGmhZc3jJ0eoWf9b2GTq8w57xPMCka5fHUK2xu2MrY0ggXTf5nTHoTVoOVS6YlWbXuOdLdUSbYqujIdBMur+WScSEONfyBdLODtLecumorrQfA5zWzO2lEdewnbAbrJA/JPQG8TSmuq62laYyPK0p9/Gj1btJ+L+6SIEvHzDwyXrrLlhLMLGZH5w4qSqsxG02YrAYcRUvxKHrS6Qwem4G3X3mSzsY+zlkQwheex7ZtW9Dp3sJr9TLeZaduooFJznr85U6qVq8HpZzQlPOZZOmi09mF3TudltheBprWMdO+l4j1oxgzLXg9JWR0VUwZdxVWg5XtfVZURy2V5rnEE0ki0TQBuwO3zcKssJMJnkP0T6zk4I5+QrNLGD97KeMNBhITZrL+uScImkzgc1MddDKp9Dr6UxtQdQ6W1NehqCod7U+joDD26pvwPLECpTyFklRpSHoY8LsZH3YQj+0hEO6hbHOMfREHisHE7MpK+rr03HB+HWpKpVdMxGnpZGplGdu6fDTovQRsgezK05xS5jka2XqggyWOMdjVSVRkTGQih4jb/PR1wKWlXuwe85H7oPO48Kd1OOLFTC6dRrx/O0XVKap7KgkW+RlXEuSdyseZYUhS11dBRhdgYl2SoskLsFiW0hBpxNYpUQ1pJhaFMZekCVWkGTfpfJqaduOPOanueh6XbxLJpll4ii1MTCWwGD0ESybSr9uIaaKRcLieOUDjZgM9Li+L/F5SqSAzJpbz9PYWMtFuhGsqXSYLB3x2lrT6qKsN4w0kCDoW4mlJYneZqfPY2RlpJgrMdCh4RCW+WC+msTV4YyEae3YSthfRsTJDsVnFNuVc3EEbF06YytPr3qbWbeTSWdPZsq2NeKIPh8HNkuIaWhzzae+IU2uzEI+qLJg2gZCvisieBrbqJTM6ImT6UkyeeAWtu3qI9O9mgs9An74fXdpHS8KHah9VL+/j0Aysk+QHf3+I7Yli5tg7OXfKBTx03y00jv0UX1n/V0I/uDPf4g1L7Rfu5F8+dBNfXnIja3eqPL/iCUIvrGH3eMGMCy7DYDk+Sd3p4Bev/Qpd6hXmeJKE/R/H7Zl8THmq4yDGLT+nJe1g4Jo7CZoGbcS1+Tjvw9ewqvFP1Gzawtbvfocp37r9NF/B8ASsAf7nol/ykZU30Nvk5TOBBK+/vpyamq9QftvttN68lVDpOj6qX8XdP7yLz33z29Q5CmPf3okSj6d5/JcbOJh8ht9VPYrN4OR3y37LlOCUfItWkBjNBhZ/cjGT901j6e9f5FnnClYrj7Psr08yP7yMr577Kard1fkWU2MIUsp1QojXhRDryIaeunm0/4dRZ+QD51xMf6wZs2s2kWQEg17HnOogbb0CnZKmfEwprft7cQVsqG3l+LwWatzZWdjqi2Zj2tpEkdfOjtYteEI6RGDukb/v9FrAb8VWlmFJ1eIjyUsvGjuJpXUqxtxei4mLVDoiCQIOM1dPrwAqeOCFx3BZTKhOJ+cW1+HyBrA6jJht5XDobSY6XEyctBCAnsc3ATBmRii3V+vohFfAYeacCh+VfjuKomC1WLCWVwPVnFcao2sgRUUom1RZpzPisRspKXLTKioIVlVjM9ow6AzoHEGsY5djtXoIA0m/gqtjN21NY8HvZHKZh/5YitpgPXWXnsPubYdYUhWitsyTu2aRFWjCZViTbZicr+Pv0eFzloCjCHflFeCpAL2BUImT81zTSBenUNa8SrcIYtRnx6ALx4c40DXAmFAJZsOx41burgLgDVYcOeLzhzCZsollbTYbF82ahd6yDaveitt8dJLNazJy0TkL2P3mIfZ2KWAw4PdYqQk6qHR/jLWbW0hWlVBZHebtWBSHs55PTy2hK7mbKlcVJqOFg+leksUpqsqdLA5nx5bz6gR7ogepcJUfNxmp1+mPC0ZUaTv2vaBm+nT8tW/gCy5ArzdTXz8DRZmCTqeHgIpP0eM7sj/paL1S4eXSCgdGvcKmBjM9kRjmUCWOZAUZNUzGoYLOjJKrFLKHcBgdhHwlFKnXoarpI3sM/ed9EGvHbopCgljbyxRVWFGMWV2b9WZ8djPdiQTnjQ/jtGSPXzljJooCZn12T1SoaBmKYkJRFKoWzaCxcRULyg1ErQGSGZVen4npleexuvFp6uutTEtOpSRsJ9IdZ/F4F0ajnoxexVE0hlC1E53OwOLqSTzQ/iZeq5eFY7ITZldNmMv8qm4ie1Ik4ilcASu97Q4WVTnZvrUVm8NM2dijiYYtxuxkhK3CRDDgoSiWQlFgyfSj92XWpOUkazwMtCiEx3hx+SxHIkDUGGupdCdImKcxptSNJ6XiDprQ6cwsK61HBVpbsovvgbn16PQ6Uok0HQcjeMtd6HpbicWO5ky9blwxSVWl0no02bDiKEGxhamqClGp6vA6zNTNLD+mnUw52uQpHetl1xvgN0HNRQuOHHc6x+P3ziaV7kN/EVikgsubbacGnYGZxgxVqTQTg072eHtxuEopMzkwjBlH25sdzC+14apz0hdLUVXkQFEUbONrmJ0I8pL+JcbVjsPtLsFgUHF7pjN5QhHJZAf6Petp22fEYXz3BO7/KEqhBAc4EYQQVcDeVatWUVZWljc53jwg+eTPJV2KjhWfLaL00GbmtI3B3dPL30QJ4dmjniJl1Dj0l99w29sWVqc93P30jymOddG+fBYXffOevMjz/P4X+P7am7mlKIlNN5b5Sx5BpztqQKmZDA23TabMdIAfBb/A126+4/jEwqpK2wM3sv3+PQRa2ol/4uNM/+rXT++FvAuvN2/hE099EreqcJvdjz4g8XnnM67i34jcupxA6U5ebS/jfv/VfPJLX2eGx5lvkU+IHZubef3vq3k89Be22XYz23MO/3HB9wjatJWYE0FVVRrWHGTTqvWs867iOfd6kkqamYF5fH7WJ5lWNK0gVmMLgQMHDrA0m7S9Wkq5L8/iHMdojk2qqh533zfs7aQqYKPIeTSqajKRxmg6PthBa1MPG3pfxmI1cX7lsSk3Vr6zEoBLai55XzLta9mHIdVKkX86JsuQeVn5JLhKoThrYCQOHETvcqJ3jV6QxWgyitVgRVEUIvEUBr2C2XDstauqyvOylb5YioVjgnjtJ5aDMp2O0t6+GpdrGlZr6ajJPBKPbmoEdFwx7ej/iqez0efMevOwdbo7B1jf0ceiKj9WY/a6WyIt2ZyCka109PeTMc1mfMmxM/LpVIb+rjju4LGb+eMDKeKRJK7Aqd3k//xTf6NXtXLFkJQ1sWSad9p6CftUNuxOEE+lcXh3EE/HWVq5dEQ9DEcsdgij0Yd+UJ1MLEJvTyeeUPm71DxKPN5Gc/MLuN3VtO7KPr9jZ2V1OZAaIJVJ4TSd2Ljc0hvBZ7cembA4Imd/ko6mfkrGZI18RVFIxFIYjDp0g85NpjOoKpgM2WM98R7SahqfxceJ0h9PsW53OwvHBrEYj+8jOjpewmarwmqtGKb2eyM7JXu697Csehm6EwyR3rWrCUfIhdE1vFGTTg+wu7WfsNuD22Yknkqj9vWhj0Ywlpby6OaDAFwxtRRVVWne04MnbMPqGP45T2aSGHPvkjtb+ihymvHYsudGEymefGsfS8eV4rH+Y8/Au41NmoH1PonGo3zojsfYmnHw2fpdfP0D13LdiqdYWzqdH730BB++41t5kev9sP6aK1jtruWqdU/y09nL+dZPvkpZ4PS/1G9s3shtz32SzxVFseFm/sJHsVhKjpSrqsqOOy5jPGt5NDmHc7/9BEHzCGFk4/20/OID7HlkAHdnD+2XXczCH/yoYF5QZccuPr7yc0TSTXxGqUGUSowmN+Mqbsf6s2/gdDewtrWSB72XcMnnvsoVxYF8izwi3e1RVty3ms3mx3jO8wpm1cqt53yDq8VVBaPvMwk1o7L98XfY/+rbbPGu4THvi/QZIpSbq/jw5Ou4rOaysyJ/2LtxNhlY/yipTIpn9j1DlbuKen/9MWUr31mJxWDhvIrz8iTdqaWjP87Wgz0sHBNE/z7C1w9n1J4qBr8ojgYdnWtJJjoJBs8/LjBUvkml0qQyKhbTyM5S6YyKqqq8cGA1iXTifRtYo4GqqkQiu7DZKtn9ejbE+WEDS6MwiMSzQaHs5sJyvNMMrFEiEo3x0bse5/WUlXnuffz2S8v57v/+jnvKz+eGpx7hO7d/A6OtsDq4waiqyvYXV9H88zso2d7OEzMXcXfl5TgNUX66fAZLJ5zaDX+DWbt/DT9d93k+HohgVq3MnfsXnC5xVNZMhi13XMNUZTVbYuXYv7GGOq/33f9otJOue65lxyMDeFq7OSjGMOfXv8YZKoyOsj/Rz63P/zsvHnqMWp2JG/0pbJZ+yos/TtkfH8Gu38227hAPqktQr/8c35w2Ho+xcDqTlr3d/O3hp9hqepp1rjcAhYsDV/L/LvjSMa4tGidHJp1h2zP72Ll2D22OQjrmDQAAEJpJREFUjazyvoK07kOvGphftIDL6i9hQekC7MYzy410NNAMrPdHMp3EoDMcZzT0Jfow682Y9Ce2uqMx+sRTaZJpFccovSim0zHi8UPYbGe2a/Hag2vpjfdyQeUFR1ww80EskiQeTeIOFu67nEbhoBlYo8CqV/dy+9+2cUDRMdu5j199dia/enojPw/P5/wNa/nxxQsJTR7OB7sw6G1vY+2vvovtjU2EtrfRGQ7wau18fnz5VVg2d5COZZhb3sYXL5jO3DGTTtlsXjqT5jcv/oz9Pb9mkTNJOhHk3PkP4XIeNe5ijfvYfvc/Md26nR3xMPHPPsOUisoT+weJCMnHvsGmB1/DuaOHqM1K+sMfZMaXvo5ef4KJ8k4xW9u28e/P/xQZW8/V7iTnOFPE0m5m7/UTbNpAX9LEmu5afj/uwyy6/INcX1aEw3D6ZVdVle6WKC8/vYm1rc8ina+x29qAOW1hnv1CvnHJzZQ4S977D2m8L1RVZecbLbz+1B6S8X3s8r7KC66N9Bj6MagG6g2TWVI3n3Pr5jHOP+6EXTTOZDQDS0Pj/zbxdJyOgQ5KHNqYonHmkDcDSwjxn8BcsvlCviil3Dio7HzgLiANrJRS3nkCdao4jYNYfzzFig2N3PPsDvYnMlhUlSvKX+Lzl87mjtUdPFYzh/M2ruM7sydQt3jRKZfnZIhHI7z58P/Q9fzfse+M423vpldUMfXBPxN79knuXfkG//nB5Zjf6UfX2EdSVSh2dHPZRBvL585nTHh09tNkkmmeX/9bXmu7hwmuDqw66I0u4dILf4LJlPXVT3Z08NqvbqM68gRhUy/rkuMo/9ITlAdOwl2uYT07f/lt+lZ3YOuL0uX3oF80iXE3fhp33YxRuaZ/lF2tu7j3mftp5lkuCHZRbFQxdqrU74oRiEdIZnS8Ew+wxjeL5vGXM2Pm+cwr8uE6RcZWJqPSdShC45tNvLJjAztSW2i072CPdT8ZRaU4XsG88IV8edmNJ+yPrvGPkYyneHH1Pt55vYm+tKTV9SabHdtoMmVz3lrSFkpSFZSZahlXVM+M2qlMrRbYTPlJFn6q0AwsDQ0NDY1CIy8GlhBiEfA1KeVlQoh64H4p5ZxB5duBi8jmF1kL3AQE36NOFadwEBtIpNnd2s8b+ztYsXEPm5vjpFHwpmG29R1mh9dxMDaeRyrmcshfxFVrn+ObV15E+aRJoy7LyZLJpGl46UUG1jxHZPcmUi2dGNuT2PoHSFjMWG+4njFf+OqRFaq+Z57gmV/cy/c+8kWavC4c+yKYDkaJxrL+rh5jnFnVaT4wycscMZ+g0/yeq1vpVIrenk7ekr+jvedt+hN7sZib8JpSZFRo6q6hvOZbLK6fQ+fWLciX/ka85TXG6nZSZumhN2XhpfKPsuyT38cwNCX9+yS653W23vVtzJsOYonGiZtM9AXdUOzGVVGGd8J0XNXjcc6Yhd58ev2+D5OIxHh45Qr29z9MKLiNMssAnv4UgeYEgY4kzmT2XkQxsssYYpe9mg7PWEyBGvxFJVSH6qktqsJmtbzHf4Le9gH6O2Mke+O0trezr6mRxr4GWpOH6NQfotnaSIPlIGklg6IqlMQqqbFM46NLrmNu5YT3/Psap5bde7t4bW0jzQf306q+TadlL23WA+wzHyShSwKgqAq+pA9/MkQgEyagKyFsLSXkLqaiqIyKkiD+gB2T3YiiPzNWvzQDS0NDQ0Oj0MiXgfUdoEFKeW/u+05gppSyVwhRAzwgpZyfK7sN6CVrYA1bJ/e9Ftj9hz/8gXD45PfVrNizgn09+0iTxtSbJrHDx2M9FSQ4ujLgzChUp1XGZPawcs4Eul1H95hUtDaxvLeZaz50HQZj/nyFAXp7e9m6dSvJgQiphg3Eo/0UvboX36FOAJJGIwN+N/bFC6n78MfQ24/fv5Fub6ftv+/iyaiFNRPOZXdZOQPo0HfE0XXG0XUnsoGJAQMqRqDClmD6/D0EbAGWj12Ooiik2gd49JGHuNf7V7zGNJ8OxvH3JAm0JsgkdKQTRjIxE7oMmEhiU+LY9HH0OXutNeNil28e9dd+E69jdPf0RDo72PnbX5HevAVLdxRLJHZM+Z7aGnaNH4uBFMvK+qjymsBw2OBSsiFQVRV81TB5+ajKNphd+7t5+Y1X6E89h8exH5e1i2I1jrc3hbM/hasvhTWWOXJ+RgdxvY7emIkBxUAKHRFF4W6vF/QeDIqRNBkySpqMopJSMsT0Mfp0UVTl2GffkrbgSxTjixdRHRjLRfMupC6gRQQsZFRVpaMlyt4dbexs2kVztJFeWuk1tNFt7KDD1HHE8DqMJWPCk3Jhy1gwqkaMGTOGjAmdqkdFQYXcj4KqZH+DgopCWayW2lg9Su6cI3IcFQgFsDqNjC9x4TIbQa/gmBVGZz/5vrK5uZnrr78eoE5Kueek/9ApYrTGJg0NDQ2NM4d3G5tOpYH1a+AJKeWjue9rgE9IKXcKIc4lu1J1Va7sE0AtEBipTu77fGDNKRFYQ0NDQ6PQWSClXJtvIYaijU0aGhoaZzXHjU2nMkTZUD+ywZOeI5W9Wx2AjcAC4BDZvVsaGhoaGv/30QPFZMeAQkQbmzQ0NDTOPkYcm06lgXUQGOwrUQI0j1BWSnZgSr5LHaSUcbL7tTQ0NDQ0zi4KzjXwMNrYpKGhoXHWMuzYdCp3OD8DXAsghJgGNEkp+wByG8FcQogqIYQBuCx3/oh1NDQ0NDQ0NDQ0NDQ0Cp1THab9P4CFZEMk3AxMA3qklI8IIRYC38+d+rCU8kfD1ZFSbjllAmpoaGhoaGhoaGhoaIwiBZ9oOLfCdR9QAxiBrw7dSCaEOATIQYeWSinz4gd/Mrm/8o0Q4gdk9w8YgH+XUv5tUNkmoGfQ6ddLKQ+eZhGPQQgxA3gU2J079KaU8vODygtVz58APjLo0EwppWNQeSG144lkdfyfUsq7hRDlwINk/Y0PAR/JuUUNrjNi2z9djCD3/WT7jiTwz1LK5kHnv2tbypPMvwDOAfpzp/xQSvnEkDp51fUwMv+FbBRYAB+wXkr5qUHnX0N2Qu1A7tCzUsrvnU6ZC51839N8cKL9jBDieuAWshOv90gpfyOEMAK/BSrJ9vU3SCnfycd1jDZDx2Sy+zvOWr0IIWxkrykEWIA7gS2cxToZjBDCCrwFfAdYxVmsl+HGdOAH5EEnp3IP1mjxESAipVwghJhA9mVp9uFCIYRC1pVwcZ7kO0Iu99cYKeU5h/N4AXMGnfJzBuX+EkI8LKXcngdRjyCEWAJMzMnsBzYBfxt8TiHodggO4K9SyltGKC84PQNIKe8jO1lwuK0cifdeYO3YDvyCbEd9mO8Av5RS/iU3+N8I/PegOu/V9k85I8j9XeDXUsr/FULcDHwZ+Pqg8vdqS6eUEWR2ADdJKTePUCevuh5OZinlBweV/wa4d0g1B3C3lPKnp0XIM4x839N8cKL9jBDiAeDbZMf9BLBJCPF34HKgW0p5vRDiErKGyHWn9SJOASOMyas4u/VyOfCalPIHQohK4FngZc5unQzmX4GO3Oez/Rk6bkwXQtxPHnRyJmSZ/D3ZlyKANsA/pNwOgxJY5ZelwN8Bci/0XiGECyCX+6tTStkopcwAT+TOzzcvAYdfjroAuxBisD6dp1+k92REmQpYz0P5NtlZuMMUUjuOA5cATYOOLQZW5D4/Cpw/pM6Ibf80Mpzc/wI8nPs8XP+R7/Y9nMzvJVO+dT2czAAIIQTgkVJuGFKUbz0XOvm+p/ngRPuZOcBGKWWPlHKAbDj8eWR19kju3KeB+adB5tPBcWMyZ7lepJR/llL+IPe1nOxK+GLOYp0cRggxDqgn+64Dml6GG2sWkwedFLyBJaVMSikPZ4W9BXhoyCkOoEgI8VchxDohxBdOr4THECb7EneYFo5GRRxa1kw2tGNekVKmpZSR3NebyLrUDXZL8wsh/iCEeFkI8d3cSku+cQDzhRBPCiFeys34HaYg9TwYIcQsoHGwqxoF1I6llKlchzMY+yCXwOF0+m5t/7QwnNxSyoiUMp2bNLiZ4fuPkdrSKWcEXTuA24UQLwghfi+E8A0pz6uuR5D5MF8kuyoxFAdwtRDiGSHEs0KIKadOwjOSvD8/p5v30c+M1KcfOZ4bszJCCNOplfrUM9yYjKYXAIQQ68j24beg6eQwP+boIgRoehluTM+LTgrKwBJC3CSEWD/k56Jc2c3AdLLLn4OJAt8CrgcuBD6e88HMByeT+6sgEEJcAXwC+NyQom8CnyU7AzAduPr0SjYsW4DvSCkvJjsA/W7QA1DQes5xE1kf38EUUjsejsE6HE6nBav3nHH1ILBaSrlqSPG7taV8cQ/wjZy76NvAHUPKC1LXOb3Nl1I+P0zxauB2KeWFZPvwB0+rcIVPQd7TPDBcP3OyeTPPaIaMyZpeACnlucAHyHo2nfU6EUJ8FHhFSrl30OGzXS/Hjelk92Af5rTppKAMLCnlvVLKuUN+nhbZ4ACXA1dKKZND6vRKKe+TUsallP3Ac8DkfMjPyeX+yjs5I/Y24GIp5eCAFkgp/zun4yTwOPnT7WCZ3pZSrsh93klWx6W54oLV8yAWA+sGHyiwdjwckdxGWhhep+/W9vPN/cAuKeVQQ+W92lJekFI+kpMFsq4KQ9tBoep6ETDUNRAAKeWGw4aXlHIN2dXaQnGJLQQK9Z6ebobrZ0bq048cz21MV4a+H5ypDDMmn9V6EULMENkAKOT2pho4y3WS41LgCiHEerLGxLc4y/UywpjuyYdOCsrAGo7cnprPAFcPchUcXD5JCPE7IYQishEH55ONppIPTib3V14RQriBHwKXSSk7h5QFhBArc40Msi9Q2063jEMRQtx42IVOCBEmG1noIBSung8jhCgB+qWUiSHHC6kdD8dzwDW5z9cATw0pL8gcdiIbJSghpbx9hPIR21K+EEKsEEJU5L4u5vhnriB1DcwiO3t4HEKIb4lsJMHDkePaZJ4iZBYohXpPTzfD9TOvArOEEB4hhIPsPok1ZHV2eK/S5cBwK6dnHCOMyWe7XhYCXwEQQoTIuoGd7TpBSnmdlHKWlHIu2cBCd3KW62WEMf1+8qCTMyFM+13Ah4CGQYcvJOtz+qKU8hUhxE/IvpBmgMdkHsP/ipPI/ZVPhBCfAv4N2Dno8Gqy4aofEUJ8jWwElTjZaEZfyAWPyBtCCC/wB7KdrJmsC1URBaznw+Tc/r6bW75GCHErBdaOczL+GKgiG9r8IFnXxd+SDZG7n2zo0qQQ4k+5zwND2748zTnsRpC7CIgBvbnTtksp/+Ww3LnrOaYtSSlX5lnm/wK+BkRyPzdIKVsLRdcjyHw12edwrZTyz4POfVRKeYUQoops+1HIzj5/SR4fCOOsJt/Pz+nmffYz15J9JlTgF1LKP+RWQO8FxpAdnz4upWw83dcx2owwJn+M7LWelXrJrT7cRzbAhZVsX/Ma8ABnqU6GIoT4N2Af2cAMZ61eRng/3EQedFLwBpaGhoaGhoaGhoaGhsaZQsG7CGpoaGhoaGhoaGhoaJwpaAaWhoaGhoaGhoaGhobGKKEZWBoaGhoaGhoaGhoaGqOEZmBpaGhoaGhoaGhoaGiMEpqBpaGhoaGhoaGhoaGhMUpoBpaGhoaGhoaGhoaGhsYooRlYGhoaGhoaGhoaGhoao8T/B/TTRS7/McrBAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Traceplot, excluding the parameters for the reference category (which are zero)\n", "pm.traceplot(trace1, ['zbeta0_', 'zbeta_']);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(20000, 4)\n", "(20000, 2, 4)\n" ] } ], "source": [ "# Transform parameters back to original scale\n", "zbeta0 = trace1['zbeta0']\n", "zbeta = trace1['zbeta']\n", "\n", "beta0 = zbeta0 - np.sum(zbeta*(np.tile(meanx, (n_cat,1))/np.tile(scalex, (n_cat,1))).T, axis=1)\n", "beta = np.divide(zbeta, np.tile(scalex, (n_cat,1)).T)\n", "\n", "print(beta0.shape)\n", "print(beta.shape)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(20000, 3, 4)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Join the two multi-dimensional arrays\n", "estimates1 = np.insert(beta, 0, beta0, axis=1)\n", "estimates1.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Figure 22.5" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "for outcome in df1.Y.cat.categories:\n", " plt.scatter(df1[df1.Y == outcome].X1, df1[df1.Y == outcome].X2, s=100, marker='${}$'.format(outcome))\n", "plt.xlabel('$X_1$')\n", "plt.ylabel('$X_2$')\n", "plt.title('$\\lambda_2 = 3+5x_1+1x_2$ \\n $\\lambda_3 = 2+1x_1+5x_2$ \\n $\\lambda_4 = 0+10x_1+3x_2$')\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4,3, figsize=(15,10));\n", "# Plot the posterior distributions\n", "for (r,c), ax in np.ndenumerate(axes):\n", " pm.plot_posterior(estimates1[:,c,r], point_estimate='mean', color=color, ax=ax)\n", " \n", "# Setting labels for the outcomes\n", "for r, ax in enumerate(axes[:,0]):\n", " ax.set_ylabel('Outcome {}'.format(r+1), fontdict=f_dict)\n", "\n", "# Setting labels for the predictors\n", "for ax, title in zip(axes[0,:], ['Beta0 - Intercept', 'Beta - Predictor 1', 'Beta - Predictor 2']):\n", " ax.set_title(title, fontdict=f_dict);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 22.3.3.2 - Conditional logistic model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Data" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 475 entries, 0 to 474\n", "Data columns (total 3 columns):\n", "X1 475 non-null float64\n", "X2 475 non-null float64\n", "Y 475 non-null category\n", "dtypes: category(1), float64(2)\n", "memory usage: 8.2 KB\n" ] } ], "source": [ "df2 = pd.read_csv('data/CondLogistRegData1.csv', dtype={'Y':'category'})\n", "df2.info()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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X1X2Y
0-0.087147-1.0813422
1-0.722566-1.5838631
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\n", "
" ], "text/plain": [ " X1 X2 Y\n", "0 -0.087147 -1.081342 2\n", "1 -0.722566 -1.583863 1\n", "2 0.179190 0.971790 3\n", "3 -1.159752 0.502624 1\n", "4 -0.727118 1.375704 3" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df2.head()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Standardize the data.\n", "X = df2[['X1', 'X2']]\n", "meanx = X.mean().values\n", "scalex = X.std().values\n", "zX = ((X-meanx)/scalex).values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model (Kruschke, 2015)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('images/fig22_2L.png')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "cluster2 x 3\n", "\n", "2 x 3\n", "\n", "\n", "cluster475\n", "\n", "475\n", "\n", "\n", "\n", "zbeta0\n", "\n", "zbeta0 ~ Normal\n", "\n", "\n", "\n", "y\n", "\n", "y ~ Categorical\n", "\n", "\n", "\n", "zbeta0->y\n", "\n", "\n", "\n", "\n", "\n", "zbeta\n", "\n", "zbeta ~ Normal\n", "\n", "\n", "\n", "zbeta->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of categories\n", "n_cat = df2.Y.cat.categories.size\n", "# Number of dimensions for X\n", "zX_dim =zX.shape[1]\n", "\n", "with pm.Model() as model_cond_log:\n", " # priors\n", " zbeta0 = pm.Normal('zbeta0', mu=0, tau=1/20**2, shape=n_cat-1)\n", " zbeta = pm.Normal('zbeta', mu=0, tau=1/20**2, shape=(zX_dim, n_cat-1))\n", " \n", " phi = pm.invlogit(zbeta0 + pm.math.dot(zX, zbeta))\n", " \n", " mu0 = phi[:,0]\n", " mu1 = phi[:,1] * (1-phi[:,0])\n", " mu2 = phi[:,2] * (1-phi[:,1]) * (1-phi[:,0])\n", " mu3 = (1-phi[:,2]) * (1-phi[:,1]) * (1-phi[:,0])\n", " mu = pm.math.stack([mu0, mu1, mu2, mu3], axis=1)\n", " \n", " y = pm.Categorical('y', p=mu, observed=df2.Y.cat.codes.values)\n", " \n", "pm.model_to_graphviz(model_cond_log)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [zbeta, zbeta0]\n", "Sampling 4 chains: 100%|██████████| 22000/22000 [00:40<00:00, 537.58draws/s]\n" ] } ], "source": [ "with model_cond_log:\n", " trace2 = pm.sample(5000, cores=4, nuts_kwargs={'target_accept': 0.95})" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace2);" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(20000, 3)\n", "(20000, 2, 3)\n" ] } ], "source": [ "# Transform parameters back to original scale\n", "zbeta0 = trace2['zbeta0']\n", "zbeta = trace2['zbeta']\n", "\n", "beta0 = zbeta0 - np.sum(zbeta*(np.tile(meanx, (n_cat-1,1))/np.tile(scalex, (n_cat-1,1))).T, axis=1)\n", "beta = np.divide(zbeta, np.tile(scalex, (n_cat-1,1)).T)\n", "\n", "print(beta0.shape)\n", "print(beta.shape)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(20000, 3, 3)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Join the two multi-dimensional arrays\n", "estimates2 = np.insert(beta, 0, beta0, axis=1)\n", "estimates2.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Figure 22.6" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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joR3u6OfJHc0MNtAGR3W9aZFLFRA5WRTSzzlfrYxeZY62bGfyR4bBlpwsFidwj+1/jNZ4K7fNuY0STwkHIwfZ3bUbSZCYXzk/e9zs8tn87s7f0af18YUNX+BY7BiqqfLo/kf56LKPFvVa55KRUmEKBUcGv/+5FXP58Z4fIyBQHagmmopm3deMZVcXrDtn7yM3N65P70MWZBbXLOb/Lv+/HO05yt7uvQAc7DmIKIhYtsWW1i15P4OxXpORGCkiP957tG9IkQPHHb28PsDeSIrDvRr1QYllVT7WnYhxNGnRHEthpY/tiMSxgQWza4kB9z68jR9+8DL29xpsaU+yui7A0mo/u7qdPbce1SRhWIDAji5ncFBG6OaGPMQ0k73RFBHVYH1rgmumBtNBC2cP7qr5NTRHkzT3JFF1K9/ys5ZcIZGTBDBz3OWsJZf+t2Xb6Whf5vgzoqZbNp4iDaynjzzNvu59/Hz/z7NfGsMyKPGUcM+Ce4aIQEeig7ZEW/b3M9beZDPWL16+969bzg1pf2R/9rgnDz+Z/fenLvvUmNZYTHJvrjAJCBi2wc7Onfzd83834FyZ/bnM70TV6BDROldiNFJEfrx5w4ocOF/sJVU+Qh6RAz0acd1mRY2f3TWlrJq1kJ+9qNAXd0SqM+KkkSyYXUsv8MAvdvCTD65hS2eSLR1JLqsNsLzGz45OFdOGPs1ENRyL7vXOFAJwSVrollb76dMtjvfpdCZ1Xm1LctWUICUekfqQn0f+9nIA3vTgOpp78s8zlgQBSXRcy0LPZxRMEIT0hvhgkUs/z0BLTrfAU6Qld/+K+/n2jm9zpOcIuqVT7i3niilXcN/K+6gL1mVF4JF9jyAJErZtY9pm+nUFlKjC2sfWTnqi8Fi/eIPff8gboifVg4iIxdAbVLm3nPpg/ZjWWIxllStMp/tO8/2m73Oy7+SA88ii87UXbCG9XyvkFa1zKUbDReTHmze0yIEjAI0hL6VekZ1dKi0m/P2VMzkSS7Er3MC+Ix1EepPAQKGrC5bilQQurwuwpSPJ1k5H6FbV+tnamcS2oT8tdADbOlUEAS6p8COLApfVOlHatoRNW0Jnc3uCKxuCBApEM3uTOkbaautN6pzojiPY9jDuqtMzPuMiicKZ/bgMkiAUtOT8RQYd1k5by9ppaws+f/+K+7n/L/ejmiqW7VyLzN6UV/LSFm8b0R2aqFzBsXzx8r3/473H6dP6ONxzmH977d8wLINrZlzDqy2v0q/3j9lFL8ayyhWmFXUruGraVdzwxA2YlkldsI5utTt7M1pZv5L1p9dncxfH65rkY4gVKgeJG3FkQc4bkR9Pzo9d3/OAGr/M2vogfklkbzTF1BIPkm2zaF49H70+zLQKPwB/taSBr916CTcsmcb2ziQe0RE6nySwrTOJVxJYUxekyicT8EjYOOkommmzpUPlUI9jGZZ4RFbWBqjwOTl1rQmdLR1JUmZ+9/TX207Rqzpu0FM7m7nxm6/w9I7TBY+X0nmAWXL8VQEB2wZJPPPU4D25Yi25kVg7bS3ffsu3WVi9EJ/kQxREKnwV3NJ4C9+97rvct/w+fnLTT/j9nb/nm2/5Jh7Rk/3SZsjkCh7piiOl13WuKk9OxE6QMBJ4RA8wtuhjbhBmed1yLCws2xoSkBktGQFbUbeCKaVTWFKzJK9lZds2tz95O1f94ire/PibSZkpgp4gv77912x971Zmlc3Csi3WnVyHZmkFo9xHe47yf/70fzgWOzYgMj44gFQMQ4INaZfeJ/v4h1X/MGIQ5Gx4w1tyuQQ9IlfUB9gdUTka09E0g37NhKkh6mrLsq7jlBLnC9DUnWJ7Z5JVtQEurwuwtUNle6fKiho/VzQE2NSWoFt1SsRU0wJBZHNHEhvHda0LyCyu8rOjK4luQnvSYFunypq6wBCR0S0bPe2aJjTH3ZMRCqeQCE4KicCZ/2Bg11Exx6XNNdy0EURutJbVcNbeFVOuyP67kDtUKFdwvMmkW2SssK9s/kr2i1eM5ZW7//jiyRdRIgpNnU2IiHhED1u6tgwJyIyWYi2r4fIWh3sul4wwyYKcTp63MG2TXq2XH+3+EQ+seqDodReyQk3LpNxXztLapWxp23JO9mhdkRuELAosr/ZzxKNTUR4k1ZMgmdCoqwkxX7OzrmJViZdl1b4BQremLsDWziQ7ulSWVfu5qiHI+tYEXbaNZlrOl1MW2dyeRADmV/iYG/LQq5kc7EmBBZ1Jg+1p1zeXj10zl8/csmDAY/uiKVoK5NtJohNBzd13G5yYKnFG9DLVDbZtY46wJzdcFcZoKeZLm8kVBHh860mi57B+uLG8EYAltUt45ugzo/ri5QYhDMsYcL1fOv0SpmVmAzJnw0giNZJYFyvk+YTp4+s+jo3NpuZNoxK5XDf6sf2PZdNQLNtid+fuvBH58eINJ3KGZdOvWwPSNgYjCALzyr0cO9lJdW0Fh7oT9MdTTKktZX+vys3fWs+yGeX88u+cLlCDhW5bR5Kd3Y7QvXlqkJea40RSoFsWWlroXm1PggDzy30sq/YT1y1O9utIFpyKabT2JAdYLKejCfa19DKjKkiZ37EkfaKAYTlR1ME5bXJ6v8227XQKSVrEANKlYPnc1Uwwd7jo6nhbVsVaFueSYlNhhiM3CGFjO4EWJxubMk/ZgIDMcIwURS1GpIYT62KFfGPzRvr0PgJyAMM2iCajZ5UGk7mhneg7kd2fBfj1wV9j2uNzA8jHG07kDvVqnOzXCVd4mVXqyVv32RFTSeomkZ4kJ7sSLJpXT3koQHdPkqryAOG5dZSIzoeUz3VdXRdgW2eSnV0qS6t9rK7x8fCeLlKWE9U0TIvaUh+vAtiORbeqNkDCsOhMmry4twXLhvqGCrqPdGDb8PtdrTyzq5XL51RlxTU3ITgwqLQrI2C523K2DUL6Z6fiIef49HXIuMTDWXLjaVmdrYs4XoyUClMMIwVhimWkKOpwIjWcWGumxte3fb1oIc9ck4f2PjTkubGmwZyInciJ9jt/a6WeUq6cemVRN4Cx8IYTuXnlXpKGxYGoRjRlsqTKPyDxVTctrvjqOgIeCdO2UXWLA0famTuzmktnVPKOZVPo00wCskjCsAjKYl6hu6zWSTbe1Z3Co2n8+sX9XLVqNqFSH5IkYtqO4G1qdyK38yt8rKgJ8Gp7glCJn+7eBNUVQS5prEU55gwts4Gg98xHpukmm491893fN3GguXfA3pgsODFMCxzLLUfcMoiZ6KogZAWvGJEbb87GRRwvRkqFmUgK7V8ljARf2PAFPrHyEwVFajix7la7eWjvQ0UL+f0r7udbr39rQL4fQIWvYkzXJN8NTbd03rvwvef0hvaGEzmPKLCixs/xPp2DvRqb2hIsr/Fnk3EFwCdLxDUz+zt9SZ2dShszK/zENAu/JJI0LF5rT7Kq1k+5V8ordKtqnby5k7rItQsbmB2AE6qO3+8BwSmtkrHZ2Obs0c2r8LG4yo85vwbLtqnxy6RMmxmlMgsrfUOszpZogqOd/bT2aUiiMGBvLNeSGzzmTMB5QM4mc+S6qxMncuPhIo4X42WFjQeF8tM0U2N983pea32toEgNJ9anYqdGJeSZa5KbEvOVzV+hT+vjO69/h4M9B0fdDHUybmhvOJED544yO+Sl3CvR1K3yWnuShZU+ppd6kCWR/V++ueDvtsR19kRSCIKAblls6UiyotpPTUDOK3Qra/0IAty6ejYLKrx86KevcumC6VQEPGiWhSiKiKLNhrYktgDzQl5imsnBXo3elEFd0MOpfgOPKHBJuktIhpmVAaZVBFl+ZSOPvHxowN5Yxv3MppEMKuuycWpXBwceJlLkRuMiZrYQBucKVpV4s3uUFxO2bXPLb2+hLd6WTZ4GCMpBdEsvKFLDibVu6gTkAF7Ri2ZqaJZGn943YmJvPmHa3rGdg9GDRZd8TeYN7Q0ncr2aSXvCYH65lyq/xNqGAE3dKfZEUkRTJgsrfUiiMGyaRIlHZEenStKwsQWb7V0qi6t8TCvx5BW6FTV+mrpVDvRohEoD/GXzUd5/8yIEBFTTIiCIiILNhtYE2LCk2k+/bnE6rhNRDeqCMkdjOrIoMCenRdP0Cj9vvqSWeeVennj16IC9MVkQyGSI5KaQ5ErXwD055/8ZkSuyw9JZUayLOHgLAZxcwd+8fpoVMyuye5QXGy39LUMi4gkjQcgbGlPt6GhrUYcTpmW1y7hp1k1Fl3yNx57nWHnDiVxzv86+aIpezWJZtR+fJLK61s/hmMaRXp2YbrG82j9smkS5V+LKhgA7u1S6VRPLttnVpZIybWaX5Re65dV+dgkpGurKiSR06OmjtDJIn26RNCwCsogkwIa2BAArawMkDZuulIEvZVLjlznYoyEJMKvMETpREPCI5E0IHhJ4SHclGZInx0ARPBNdHd6SGw/LqlgXMd8WQiZXMHeP8mJCEAS+f/33eeHEC4R8IR7d/6iTQGsz5trR0daiDidMH1320QE3opFKviZzz/Pi/AsZhrakQadqkjBS9GsGq+qc4vj55T4qvBK7ulU2tSeYGvQOmybhk5zWSQeiGif6NTTT5kA0hWraXFrhzSt0S6t8RHrizJpaAR4Pt80s4ZmTceK6RdJ0ghhyWuiumhJkeY2fzR0JulMWQcmkJiCxP6rhEQWmps/vk8S89avZwIMN5CT9gpMvZyOQKc/PTTHRLRtJHL4rsBI5zF2P/wOirxWmqZRaPn7X1shvvvt2Vky5hK+8q35ch9eMtIVwsZJ7E9jdtZstbVsQEDBtkx/s+gFf3fzVUV3f0daijiRMoyn5msw9zzecyK2pDRDTLNoSBodiFgkjzvLaANNKPNQGZN7UEGRnt8qppMUDb19CuMJbME1CFAQWVvko84rsi6j0pEx+vbudo81RNu1pQTct/um2RcydVZMVutMtUQKhEhZOCdGWtLh1ZgnPnoiTMCwSukWpR0QWYX1LgqunBLm00sfu7hQtSZP5XolKn8juSApJEKgPynglIW/9qjRoD27o2gFBBOxBxfkjl3Tt7mxCCh7DtiSwZRAMCCp4ZpzEIz54zlr0vFEY4CbKJXzwjx+kI9kBODco0zI5ETuRPT4zhauY6zvewjTaHMfJGJP4hqtdLfVK3D6rlBU1fgTgeL/OxtYE+6NOZ2C/LLKmLsCsMg8n+px6Uo9cOHEYYEaphzX1QSzDpKVXxVviZ+klDciSSH+/yrJqHy39Gi+c6MWy4fDJbhJ9Knu6Ehzr1bhlRomT5yYI9OsWIgJeSWB9awLbsplV5sG24USfTo1PIuQRaepW6VINfIVEThQGVjkMOiTXuBtt3erqKZdx3/L7+Nlt/8vzf/0c/++G7+CVPAS8Nu+6Os7K+pW8d8F7mVM+B1mU0SwNgD6tjycPPTnsuV0cN/GhvQ/xnmffw12/uysrcBksLAQEPKIHj+jJfsYpIzWg5rcQ41GfC8V1hB7MRDfMhPNE5MLh8OJwOHwkHA5/PM9zO8Lh8Es5/007m9cyLJt+w+by+iC3zCwj5JXoVE1ea0vwWluClGkhCgKXVvpYXuO0RJo/t57KUGDY81b6JN7UEKRcFphfV8a0+hDLFkzBFgRq/BJf/c1OfrWjhanTqhBFgSc2HeGHzx/glzvbaEua3DS9lKDsDJOJaSYiTmPM9W1JgpKQ7ihssb9HozHkISiLvN6pEk1odMW1IXtjyZRjeWbqVxmkW5JwphV6bmrKcJZcplPsPc/cw3d3fpePvfAx/vW1f6XcWz7A7ZkVmkW4KowSVdBMDa/k7CHa2Hx/1/fP2R/zxcL9K+5nYfVCREHMtm+6csqVfHLlJ/FJPgQE7pp3F8/e9Szfesu3smJl2uaIkdKxCNNwDNcROh+ZfcGRmjKMJ5PurobD4RLgv4F1hY5RFOXa8Xq9w70aJ3IqHt45u4wXWxKc6tdpiqSIpEyumuJ0620IypR5gvzcMFk8vx7b581O+srHzMoAX715HnsjKX60+RRTa8ugxENct+jrU9l9qIMFc2pZMr+e3YfaOXQywoL6MprjBpYN108L8kJzgqRh0aOZVPkkBElgU3uS1bV+VFOmWzXZ3a2yujZIU3eSX7zeim1Bv+b8cf9q2yl+seUkNvCWNXMKUeaFAAAgAElEQVRYOKOSupAfsAcEHkSE7I7c4F5yJQXiBoPd0MwM1cwfZ67bs6JuBRXeCnRLJ26cGelo2dZFMaHrXDKcm7ipZRNb2rbQpXZx7/P30pXsynb0kEW5qBZI45GrNtaUkIlumAnngcgBKeBW4DMFni8bzxebE/KSSFc8dKtOxcOtM0vZ3pmkqTvF8X6d2Ik+1jYEaQx5KfGIHD7aQbC8hEVTQ2zrdEq1fFJ+IzjTiPPk6QhVtSGoDPJqR5KNX7iBKr9Ea0KnqStF5a2Xsqo2gCwKHI1pHOzRsJC4dmqQl1ocoYukTGrSQre1U2VJlQ/NtImkLPZEVJZV+XjUtKkIBfB6PcRTZnZGhSiAadmYlj3AiBNIJwin+8vZDDTnHUsu/3vLjc7VB+q5+bc3D0hxyHV7ZoVmEdNiA/ZrwLEeL5YJXcUy1n2o4YRkZ8dOYlpswPF+2V/Q7Tzac5SPv/hx2uPt6JaOX/bTGGrkaO/RMeWqnU1KyEQ2zITzwF1VFMVQFCU5zCHV4XD45+FweGM4HP63cDh8VlmqXsmpeFhQ6aVbNdnUlqBXs1hdF+SG6SVU+2QiKZMXTvez7kQvx7r60Q2Lg8e7iPfEOdmr8lJzP9GUWfA1BEGgK9LPjn0toBt0JA3Wt8ZpSxhMCXpYVuMjmrLY3pnEsGzmhLwsqPTSnjDpUk2uaggQlEUkQaBLNfGIAgFZYFckRYlHwC8JtCUNjscNvnjdHC6dEuIr71vDK595KzcurOcfbriE8oAHMye1ZFBO8JmSLntgJFUfZr5Dbj+zqWVT+dktP8MjepAFGVmQB7g9giDw1B1PURuozXaizTx+MUzoGg0ZC7hf78fGzlrAdz19F00dTQV/b8De3NN38U+v/BOqoeKX/fRpzvyG3GsbS8UKup1NnU2c6juFZmnY2CSNJPsj+0mZKfySn7VT145qaM1gl7rUU8rNjTfzq7f/qqiUkPHaFyyG88GSG4nPAz8HksDTwDuA35zNCQVBoLHMS6VPoqlLZUtHknkhL3NCHspnSmxqT3AiprPuZB+PR+KoliMWv9l8nGd2nuaa5TNAmMYl5V4ay/IX+QP09KnQn2D2nCqO9em80hJnTZ2fxpAPamBXTnpJY5kXURDYF0lh2bCmzs+WDpWYlmJ/tJvO+D5E0c+RnhpEu4tLqpZxsk9AFgRqAxKaZXM8afHf712JTxJ5fOtJR+TSS8tKcjopTiSTXnIm8GDajkvrGSZ9pNBdeF7FPF7veJ1H9z3KI3sfoV/vJyAHSBgJpx9ZuiDbsq2z+mOejOjc2bKyfiXXzbiOdafWIYvOtdAtHdM2+cjzH+FP7/xT3ojocCkcpmUOKLVSTRULq6DbubJ+JXfMvYOmziZa+lvQLT07mvBjyz/G6b7To4qIn01KyEQ3ZTjvRU5RlP/J/DscDj8DLOUsRS5DuVdibUOQvZEUh3o1IimTpdU+rptWwjZPksPtMWqrS7n28nls2XWK1q5+EppJX1cfdQEJpSdd5F/tL7hZL9g2axuClHpU9kVTbGxLkjRtFlT4oBqaus4I3cxSDyI4k78sgRU1Ptad7iZp9FMemEckcYAkAn5PNdvbt7JmylqOxpwa2EsqvLTEzzTdBDCsnNy+nHquzJzV3NboAHo6eDHSvNXjseMIgoAsyhiWgWVb7Oveh4BAr9aLiDNkWTOdqKokSmCBYRsYlnFWf8wXYnrKrNAsHrjsARZWL2T1lNUEpAD3PHcPhuVcjw3NG1hUvSiveD949YNDxDvXjb2s4TJmlM3gUM8hgIJu56zQLP7tqn/L/hxVo9zwxA2Ac5MqNlF4PG4yg8+RachZaGrY2XJei1w4HK4BHgHuUBRFB64BnhjP15BFgaXVPqr9UlaEllb7uLIhSJV/CnsiKu0JP3XlAY6e7OblHSdZt7+d1Y2V3LxiBkpOkX+5V8pbCdAcTTCv1EPIG2BrR5LN7Sr9us2qWj/LagYK3fRSD5IAuyIpbCwWV/oxLB2vVE594M0EpF52dx+h1DuDqBpFFmrpNyxM28PKWj+vd6ps70wiCgKWmSnqAmwbGwvDMkkaKU72Kvzp2H5mV97Mtta/8MkX/oeqwHTeNOM+av0LmVk6K+/1EgSBORVzONJzJCuc/Xo/4NRVvnvBu/nLyb9wPHY8a7GlTKfle2bv5mwKsid6nN14MbNsJs8cfYZH9j0ypJW4YRlFi/dj+x/jB7t+QESN8Oi+RwfMZ/AInmH3w4bbCwt5Q0UFBF448QLb27dnf8643js6dvCHd/xhxJvMY/sf45XTrww4RybKv7V9K00dTSyrWzbi9RwNky5y4XB4FfB1oBHQw+HwXwG/A44pivJkOBz+C/BqOBxOATsYJysuF0EQmF7qodwn0tSVYluHypyQh3CFl3KvyAvHezmZ1KmrK+e6K+ex4fUT9CZ0GkNeytMu7+b2JPPLPVw3Qo1lmUdkfWuSXd0qCcPiTQ3BIUI3pcRxgZu6VUo9FVw1pZLDMY2EYZE0K1H1KGCTMhdj2KCbcCiqcWmFn6XVTp1s48xqYmpO33/Bya+yyeSU2Fi2jW3baGbSybeyJdribXx+/UP88rbvF/yD/fRln866URkBqw3U8vAtDzOjbAZXNFzBv2z6FzoSZ/K7ZpbNpCPRgW7pZ1WQPRnRufHieOz4kFpUn+zMV4iq0YLi/eShJ3ml+ZXsLNUMhm1kbzSyIPPTm3864n7YcMm7xQQEMlszsiCfCTjYBnE9zp+O/4m7F9w97OtnAha5/eRyGc59HyuTLnKKomwHrh3m+f8E/nMi1lLmkbiyPsD+nhRHYzqRlMmyaj9vmhJk7+keKipLEKUgN66dhy05AlHpc1zepm6V/VGNRXPr2Hu0E2vQPIZMjWV90MPNMyVebolzqFcjrltcN72EZTW+AULXEJQRBT87u1T8ks3GU49T4rsEWQpRV7qMzvgOppQE6NEcl7RXN2nqVrms1s/iKh+lJX58QUfQMhFVEQlEAa8QYFX9ShJ6Lc0Jp4HhJ1d9kprgJfz2yAGSRl9eqyjXTfqva/6Lg5GDfG7D59BMjTvm3cGMshnYts2DWx6kI9ExYCRfS7xl3Np/T3R0bjwQBIGn73iaO56+A1EQs51FDMtARBxWvI/1HstaebIgY9pmViDKveWsnbqW+1bex4yyGSOvYYS9sJEqGG5svBHbtrNivKNjB59Z7yRGHIgcGPE63L/ifr629Wsc7T2afUwSpAHXY7wt8kkXufMNSRRYXOWn2qezJ5piY1uCJVV+vnz9XJq6VR59vQWf3wtBDy+1xLmi3hkjeFmtnyMxnb+/8VJKPYtYXuOntEAP8VKPyI0zStnYmuBwTOP3x/u4aUbpEKGrC8hpFzRJn56g32iiOrgQQa6mvnQVZbJTo9qcMLFtgZa4zhbDpMEncLI5ypzZtViCgGqYSAjpKUsSkgB+2UOtv5GWRBdgUuoppTE0HwEFw1LzWkXFpg3klhydec+lXDll5O6vxe75nA8t00fL7IrZ/O7O39Gn9fH5DZ/neOw4qqFmRaaQeN+94G5mlM0YYuVJgsRn1nxmVIIwXI5cRgQPRA7wvZ3f43jsOBE1wpsffzOXT7k8+xl8ZOlHhqwTIFwVHvH1105by98k/oYvbvpi9rHcVlLYhccjjhVX5AowpcRDKN1vbkeXyqwyDytrfDzYEiFUUUpVoCIdrLBYU+tneqmHeeVeKnwiTV0qr7YnWFzpyxbqD8YjClwzNUi5V+T1LpWnj/dx4/ShQlfjl7msNkjf/HdjWikiai8Hos4E+v29QZZXVRAzbHpTFp2qwVM72jh6opv2SD+l5UHqqko50pVAsEyqKkoBiGv9bDi9m4h6jNmVN2FYOv+19b8I+p5iZvm1SIKd1yoqppNEwe6vlxbX/bWYvanzpWV6sQzOd+tIdNCeaAec4E/uHmU+8Z4VmsWimkXZY8biohebvNtY3siOjh1OcCntUmasq8xnUO4t51hsYGqJgMC1068tai0r61fy8eUf57s7vzvkOUmUxt0id0VuGErSIwqVHo0TfTrRlEmkJ8GJzn7CdaWUyAF6UyavtCaYX+FlabWfGv+ZIv+m7hTRlMWCSm/erh6CILCiNkC5z3Ffnz3ZxzVTHdc1N72kyi/x1un1bOtMUhWo5VjsOH3aaYJykEOxEur8IilTIKZZ1FaWoBs2kT6V9u4+FsypxeORkOz0vgtgYjqRT9v5+E3bIGEkqAyWYmMhCvnTPIpNGzibjPpiAgsTHZ07WzIW8MN7H0YWZSch2nbEKVdkjvUeY2H1Qo72HiVhOC23ImqE/97x33x2zWfPykUfyQrPFcEppVO4dfatvHDyBQzT4IZZN/DiqRezn8Hb5rwNASE7qCfjPv/64K/5xMpPjLiWWaFZ3LvsXm6cdSN3PH0HAkJ2a8O0zXG3yF2RG4FMHWuVT2J3RGX+nDp2HmyHeILppVW0JwySpsW+SIqIarKsxs+UoIc1dQEO9mocj+n0aCYravwECnSinBPyEvII/OlUnBeb46yq8bO02hG6H+/dRH9qC2+bcwvTg6W81tZHdzKCDfgkZ7h1S9KiTIZyj4RQVUK4IcTfrp3FlBKZdafjeEQB3YK4YTkTvAw/RmI2glHhqJ5tcee8O2msuI5XmveN2Soaj+6vIwUWcqNzmWTYTDVFU1cTUTV63qWR3L/ifu7/y/2opppda6bxfEAOZF39ps4m9nTvwSN68Ek+NNNJ3P2V8ivuXXrvWbnoI1nhw4ngvcvu5aXTL2U/A0EQsm734Z7DfGnTl7Cw+POJPxcUucE3poAcwMbO5lJm0C193C1yV+SKpD4oE/IGeUTVWTCnFrxeLq8LsDea4mS/TkK36EgavNaeZE6ZyaWVPhZU+Kj0OuK4sS3B0mo/dYH8l7wm4OGu2SH+cLKfbZ0q8zUviys9/Pl4B6di/fzywN8AJj6pinnVd+KXy5hTPgNZkGhOGEQ1m2WVEhYC3arBsT6blOVsTwdlgaRp05/2bDySxPyaepSWALYtYmHSmYxw5yWXsSfSPOYp7+PV/XW4wMJH/vwR9nXvc3LxBCGbfgCOcJyPaSRrp63l22/59rAi89j+x1AiCncvuJtV9avoT/Xz1S1fzXZw2diy8axc9JGs8MEiGPKE0C0dAYF3/O4dgPMZRNVoduJXhb+CkDeUPUfumMHB5A6qBgYI22DGe+aDK3JFksl/U450EAgFmVdbygsnY6yq8VPu9XOgJ0VMM1ENC6UnRXfKYEmVn/p0kf+ObpXXO53UlPnl3rxVEkGPyB2zS3nhtBN57dNN3jptFi8Csuhhf9cTSIJKg7+TtTPuQhb92DY0BCRO9Bvs69VZWeXBsCR6NRPDOtOdJCiLRFI62AJ+r8D0EolD0aMIwlxs26Q+WM/eboXW/lNj7rs/nt1fC1kt+V5jZd1K1jevB8Z/03q8GElkMjcIj+jhyUNPYtlW1uoTBRHDMrLbACWeEjyiB9VU+d7O7/HQ3ofOuupj8Pps22b5I8uHfAY/3/9zOpIdPLrv0WyUOONqXjXtqoKBo/dd+j7uW34fCSPBT/b8pOA6BIRxn/kg5N4JLzTC4XAjcGzdunVMnz79nL2OblqE/78/DBhTOKW6hLkza6gv9/PJq2bhE50uwN0pEwlAgBJZZGaZhwUVPgQB9kdTnO43qPSJLK/xFyzyt22b19oT7I1olHlFVtT6OBYzqPCK2aL+uG6xtSNJTDfRLZtu1UQzHcttWZWHA70GMc3CtKHKJ+CTJE729yMKHkxLpzO+k4QeZUrZZexuf5hTvc8Trnk3mhmnOfZnnr7z6QkfxZfL4AlRuqXz0WUfzVothay9P7zzDwOsi/FgIkrJNjVv4ts7vs3h6GE0SxuQR+aX/Nw1/y7eMf8dlHhKeGTvI/xS+SXg7OlJgoRmaWOe/VCIfJ9Bqad0QEQ1Q1AO8vu7fs/G5o18cdMX8YgeZ5vBtgesLabF+NGuH/Hc0efQ7aGNaCVB4s9/9edR/+2dPn2a6667DmC2oijHc59zLbkiyDdjoLU7TlevytuvmM3eSIopQZk1dQF2RVTaEga27cxeOBbTs91OFlf5qfTp7I04lRXLq/1U+Yc25BQEgSsbSgh5JTa3OxUSS6p8tCfNbDCixCOypt6poOhSnVZNU4IyHarJzojOkkov+3o0+nSb3pRNhc/CK8oYNti2SYl3CmameDW9ER70lDG3fCrfvObDkypwUFzwYqLSSIaL+H7vrd/jWzu+ddYCmLGkci0oIDuZ6xcHfsETB59wrCfL+TsMSAF+cvNPiKrRAcGZQiVio11Tvs9gZmgmpm0WtNaHCxytP72eH+/+Ma3x1rwCB/DO+e8c9789V+SKYLgZA7ZtczSmc6hXo1czWVzlo8wjcbxPQzVtJNEirsOWjiSNZR7mV3gJeUV2pBsDzC93GgPkc18XVTm5di+3JNjRpTK/wks0dUbogrLI5XUBNrcn6EiaJAybBRVeDkQ1dkc05pTJ7O3RMYCelIUoyEhAqa+E6WUhjnTWgylyRehenrrjP1h3up8pQQ8zynxD1jJRFBu8mMg0kuG+uE8deWpca2nzvS/N0qgJ1NCn9Q0RlhllTnlfbnDmbOt7h/sMLp9yOfevvL/g744UODoROzEgSTyXTJBjvHFF7iwRBIG56fGGTV0qWztVLin3sLTKx/4ejZhmUSLblHgFjvVpdKoGS6v9rK0/0xigR3MsPW+ewvhZZV5unSXywuk4SlRjeonTCiojdH5Z5PKGICfjBppp06tZLK72sTuS4kifgTPFAQzIlgAJAtT4JQ5j45FF0JwNfN2amFGEwzGa4MVEDSoe7os7vWz6uNfS5ntfi6oX8d3rzuSVDRecGa5ErJg1nW0AqdDarm+8npX1K9nQvIH/2PofA37HK3p5+OaHz4kH4YrcOJEp79oTUVF6dOoCEqtqAuyOOmMLzZRFpV9CM21ea08yN+RlcZWTPHygR+PV9jNF/oOp8cvcNrOUF5vjnIobVPtEOm2yQmdu3UrJs+vRGy8hNnsO9uyZrKzxs71TJWna+ATQbbL3T9sCVTNJxDX8Pg+6LLO3vR/NtPFOwFDp4SgmeDEZg4oLfXHfFX7XgD3As6mlHe37KuSun21974DPwNQRBRFJkOjX+7n9qdsJV4ZJmSlOxk4WdIcLra2xvJHG8kaumnYVn13/WfZ270XECWD85dRfiqqaGC1u4GGcsW2bE/06So+GTxQIV3g5GtNoTZhY2NT4REo8EtGURcgrsrTaj2HZ7OxW0UybcIWXmaX53VfVsHil1WnV7jTPFKn32FS893aOLr+aVFk5JYsW0nXZmwhIIjNKZF5scUL1EmlrDtA0gxMtUXxemaqKIJGeBH0JjYZyP59800ymFep/fp7w7mfenY1EDrY0zlXAJN9eWZW/imfvepYST8m4BEFG+76GC86MV2DmyUNP5g0kgFOkL4nSkOBCpb9yyNpSZorltcv5/BWfzwp4pu65LlhHa7yVa6ZfM8BaHQ3DBR7O72K/C5BMQ84r6gOI6ZZJdQGZ+eUefKJAe9IimjKZXiqTNCw2tSXoSZlcWedUNuyPauzqTmXbmOfil0XeMq2EcIUX1YA+3eLQ7oMcXH0dkprE8nhZdHQ3s8s8xA2LU3EDj+gETnLv37IsUl1Z4uQB23DkVDeiKFBS4mcsN73MgJtiu8qeLWfblXYsjDQAZjw63Y72fVm2xde3f53/3PqfqKaKaZs8tv+x7HUfjzXlGzwji04n6A8t+VDBYTSDB9zY2Ozo3MHdz9zN2598O//48j+iGioe0UNUjZ5TK9x1V88RuQ05j8R0qnwii6p82UabugWNIQ+aYXOgR6M9abC4ykeb13SCGLpTJVHmcSyH3qTOg3/Yz9ZjEU5EEsxvrOGGcA2B/iTqiisJ9kaQEnGkZB9r6oIIJDjYq2PZUCJD/5muPIiiSE15kFnVQUDge/esQBQEXmyOsz+qUR/0jDiWMJeJbmQ5WYOKC+0BjlcQpNj3lXFrA3KA7e3bkYQzWxzRVJT3Pfc+nrnrmbxr+s6O73AwerDoyGs+11cSJBBgWuk0ppROGeAOb2zeyMHowSEut4BAdaCa7mT3mWatOPl/pj0+3WkK4YrcOSTTkNOx0FL0GzYLKr0cj+l0qSaHepxAwoIKL4diGpvakyyo8HFZrY9dEY1X25IsqvIxrcTD4Y5+Ht96ChvwSiKHD7bw9zueoP2yqzHnXUK0ph65L4Z6uBtZFFhdF0QgSXvSIGVBUIZ42pyTcLoB9xvgEW1sGwIeZ3RiyrTZ1pFkdV2g4KyHwVyojSyLpZi9sokKgsCZwIAsyAMEzi/5MWxjyHXPXdP29u0cjB4c1Q2pkOv7490/5uvbvj7gscO9h3n22LN5gxaPv+1xDkcPD9hzLfOWjTlhvFhckTvHCILAjFIPFT6RnV0qh3p0ppfIBGWR5rjBsT6dhGGxrMrH8X6DvZEUtQGJVbU+JxWkO0U0ZTK1ws/1l9azeFo5/7vxGH+94znmHFlPuW3Qcc3VNB8+SaJuCjvFy5iRHkazuj7Aq20JjHTEQcKZ9WACXhFM0xlBuCeisqw6gF8SWVTpY19Pite7VFbV+pGGmfeQYbIaWU7UvIfhoo1+yZ8tc5qoIEih4MwHFn2AD/7xg+iWzrNHn2V+5fwha1pWu4ybZt006htSvkDCqb5TyKI84LGPLf0YP9z9w4KBo7pg3YRb4a7ITRBlHom19UH2RVOcjhuEvALzQh5OxnVaEyZJ00n4rU/PjuhJOfWvFT4nobjXK/Kte1YS9Ii88vxmbj+6EYBG2aBq4x/p0wN0z1vIqYoGnn2piVuvWYpHEgl4BFTDRrPOuKsCoJrOh28Ap/p1QMArCUwrlRFF2N2doqlLZXmNP28HlcFMRiPLiXKTh4v4/uPL/zgu9bqjIdetzVz3TS2b+MPxPwBOGdjGlo1sadsyZE0fXfbRARZTMTekQu74PQvu4W1z3sbhnsP8++Z/J6JG+PQrn0a3dIKeIKsbVp8XA4ZckZtAJFFgSbWfar/O3miKpGHSWOqlOeG0cXq9M8X8Ci9X1gfYE0mxqztFQ1BmSbWP/dEUm9qdBp71sU5MQUC0oe/55xGef565lyym78P/BDac9Hh47mQ/t8wsRUDAyUqxUdMWXbVPIKrZ6LYTeRKB03GdEo+IbtlMK/FgWDb7oxq7IymWVvkKTiTLZTQVCONhhU2UmzzcXtl41uuOlcHXvUQuYWrpVI7Hjudd02huSPk+J5/kQzVVmvubWVK7hCW1S/jfPf/LsdgxdEs/7wYMuSI3CUwt8VDuldjZrdKSMKjzy/hEgU7VZF/EKfRfUeOjOW5yOOZMEQtXeDnVb7CjSyWxeBmbDyxiXqWP+fVOI0xz+w4qThzGLitDnzqT1oTBU8f60pu8AkEJdNvGtCFh2kwvkTnRb2ABPlkkaVjENIsNrQmumhJkVpkX04aDPRqyAAsrhxe60W6+j4cVdj7Me5isIEiGfNc9YSS4ftb1wwY9ir0h/WDXD7LdQzyih5SRIm7HAadC4VTfKQ5GDtIab0VA4LY5t3Hn3Dt5cOuDHO45TEyLccMTN0yqVeeK3CRR4hG5MqchZ1AWmFoi05E0OdanE9ctVtYGqA0E2NWdYm9Eo6btBMJPfsyN8xaj3HQXkWUreOvNTvKketPNyIl+ppXK2Evm0dLvzKjo1228oo0si0jYmDiDb3o0izIJYoZNR8KgL57CI0ts1wxs4KqGIHNCXnTL5lhMRxYFwhXDl3sVs/mesQwOdDvzACRBYnHNYm6dfavTWmiUVtiFOO9hPBlLA9HR3JCUqAKcGV+ZO3zmj8f+yLqT6wa4ww+seoCNzRs53HM4e9zgzsITbdW5eXLnmN6kzud+u4vrv/4S8z7/HI2ffZYfvHwEONOQc0WNH82ySRoWU4MyQVmgPWnwaluCXs1ibUOARp/Fkc076K+fQd2uLfhLA1AaoCs9kctTXY0nmUAsKeWKuiCNIS8hWUA3Lfo0i+PdcWKqDrZNyOtYbkkT+hMpLMumrNSHYZpYhsnJfp31bQmShsUl5V5mlMoci+kc6dXyvsfH9j/G17d9nQORA5zqO8W6E+uGbL7HX9vM/kWLSV1xG41PbEGzNHySD8u22Na+jW9s/8aAdtujYSKnsZ9PPLb/Mb629Wtsb99O0kgiiVK2p1tTp9NAtBCD89gK9RD89GWfZmH1QmfGrm1Q6ilNTwsRhubzve1XfPhPH+ZrW7+W/f1STykPvvnBIXl0E4lryRVJbp7a8e4EhmXzuVsWcO81c4f9vcGpH4Zl05MY2IEh05CzqVulJ2VR6ZOQBYEezeL1ziS9mpfK//kmc198hZPX3krn0tXQ3kZKM3npVB/hCh+Lf/4ore1JZNEJIKyuDdDWk0QzTDyyRMDvzd6F6wMSoiDQrZoEfR5kNYkRCFIa9IGu45cETvfrrG9NcFVDkIWVPgwbDvVqyKJTT5vLSLWOViJB86f+wQnnAleXLOWOmz5DfaCeD/zxA7Qn2rOzW0drhV1o8x5Gy3B7l5nrLgmS00AUO3ujKNRAdLSlY2unreXKqVcWVT1h2/YQN9greVlcvXhSx0a6IlckxYhVPqZXBgakfqSM/B0YArLImroAh3s1jsZ0vJJAtV8imjLZe7yDQFxkVn+Mab//FbEVazh++c0o7X3sOtXD7IYQd6+YiiQIaOlKCUkUuKIhyO6ohohTtyqJaesmXaDfr5sIgsTsqkpeOdhBXW05eD1g25R5RJrjOhvaErypIciSKh9mOhghi8KA0q+RNt9b/+VLmN2R7PGLahbTULcC27YHzGaFsVlhE5mjNtEMt3f5xSu/yE/3/HRgA9H6law/vX7A0Olcxlp8X8weXu4N51D0EF969UtE1Ai3/PYWYPK2EVyRK5KMWM2rK+XHG5yyme+/fOGyOXYAACAASURBVIT/efnIsBZdfcjPDz9wGQCPbz1JdBhhTG7egvmhD1HZMIPOB76AtHQZVTK07tpF3+JV7GpcxvJnHmXuphfYbpZh3nQ3waAX2zDoVg1iujVgDGJDeYDpFSoR1UQzdMR03WVn0qTcKxOQnB4lHUmTkqCPA8c6WDynnuaEyfQAVPkkTvVr/NfGbjbvPsWhtj4unVvHtYsaeO+SeuqDzp/PcJvviddfp+fxxwEQQyGsWAwbm9ufvJ2IGhnQGNLGHpUVNhmF+hPNcBFkzdR4/G2PD9iXXHdyHVBYUMYSDR6NtZy54SyuWcy/vPovzu+nrcvJ2kY4L0QuHA4vBp4GvqkoyncHPXc98BWcHNbnFEX58iQsMStW209E+X8vOXtqgtNvsiiLbiRyXbpQ83Gm7N5I25pVnHptG962FsTaOuZcfw19Ho3OP8r8zbwgn7p7CfuiKVrjBh4J0OB03OBYLEVjmdNiXURAFATUlEFQkhAFiOsWumVg2TalskCVX6Yr4aXE74X+BEJ5CaeTJrMkAdmy6DVsqhsqaYul2HO4nbXzamjqVlkpOtPJCr4nVf3/2XvvOLkKev3/fcr02d6zKZvCTnojkJDQQqQJF0FU8F6+ylXxgiLR+1VErqj3p35FsF+woHjVSxFF6YJEWiAB0jd9kmw2m2zv02dO/f1xdiZbZndndmeT3Bc8vKK7M7Oz58zsPOdTns/zoflL/w5Aya23EnzxRYxgEBgeGbhtbmYWzGR7+/aMo7Bso5JTJR6eKNId587Ondx5zp0sKl2UNvXLtFs63m7wWNFyuguOQ3Kg6iprqtewtW3raSsjnHaS8/l8HuC/gFdGeMjPgMuBZuAtn8/3F7/fvz/b3zPemtpQTC1y4bSJxFUDmySQ0HLj4tL+/fsGpXR2TWVxoJnoH39H27LzcHhcCI31BLyFHFt3DWpPK0v+9GeW3PgxKlwa+3riIFhC3309CfoUg0XFTusGTDRNxzBMEAUMAxTBRDVMBEFgQaGdLU0BSos8YOrML7azr0fheFij2i3iMA0WzijBIYu8u6cJojHcssiOzjjnlLsocgy3hwLo+PGP0drbsVVXU/a52wi+aIlVBQRuWXwLTaEmpudP5+E9D9MX76NOqcsqCss2KjnVM7bjxUjHObBoPzBSm8y6ZKbR8mgXnG+t/hZfe/Nrp62McNpJDkgAHwS+OvQOn883C+jx+/0n+r9/AVgHZE1y462pDUVFvpMSj53mvjg2SSSh6WP/0BhIl9IBqMcbqdy7DU9zI41rryZeWIxdFFHzCmh0zCJYt58rPmJQ6ZYpcrh5uy1Kb0JHN6ElohFSohimlRCaYIWdgNsmENZMTAMU3eRwSCEQiKIYkFdVgE0UmZ1noz6k0hw1uKC2FBHojiRYNn8KiCLnlDt5tz3G9s4Y55a7yB/ig5c4coTeRx4FwDl/Pt0PP4ze1wdAbM8eovFuXqhtxyba0AwNExPDMPDavKkobKzIK9uo5H/LjO2w4+w9zOdf/TxgSW50Ux8WqU1WXTLTaHngBSehJ3CIDlZXreZTiz/Fns49p7WMcNpJzu/3a4Dm86U1y6sEOgd83wZkF3r1I9MGwKnGaCmdo7YW70UX4dE1SnsaqC8tpEMXMKMRyMsnePEVvNUaYXmZixKnzOISJ11xA0EAw4TehE5I0Rnq2jQ734Y/qBFSDATDpC2skpfnYuP2Y0wvdHKkz8ZUj8x0j8zxiMb+XoWzSx0EgjGKC9zglomoJueUu3i3Pca2zjgry629E0kojY0IkoSp64Q2bCC0YUPqvtju3Vy9R+Cde+dyLHgsVZebVTCLB9Y9QLm7nMg77xL/9Kf4qm7w5AUyz1zkyCryyiQ1TScePhNS2nQiZ7todcevmnkVLx17KRWp5dvzJ1yXHO2cM42WB15wkr54W9q3sO0f207JqNtoOO0kNwaGSuwFTo5gZoVsGgC5RnKdYXI9YCCm0tgdodhjJzJCSgdgnzaNqf/1s9T3NabJ5s9/meM1c6FmJo45s+mM6ym3kjKnhNcmUltopyuu0xnT0AzQTLDbZBAETCxX4FKHSFQ1iKo6zV0xZFnEV1PKhh2NzJlRSltFAedU5zHFLdES1dnRnSAaVQgnNCrzS3inPcq5FS6L6DpibO2IsbLClVqgnSRoUz9ZN4q8/Q5mLEZHAeyZLXI8dByw0lePzcOvL/s15e7yVH1S0K0L0bVll/CZa+/KKvIaLTUttBcSUALDxMNH+46y/rX1HAseSz1PVI2elpR2JJHzV879Ci2RllSk1hnrnPDs7Fhp/BNXP5HVsZ8Jo24DcaaTXDNWNJdENdB6mo5lGFkZ/emfMkJUGIip/L8X9vPEtqZBtz+9q5m/7GjiUk+Ez4+S0vX+8QmKbrwh9XOCIFDd14bz2e10zPWREMGOQFDV2dUVZ0aeLXVM55Q5ORpUeKcphMspY5MlJFHANOG3m44xe0oB0yoK6ItoeFw2VM0gltComVpCY2sfpgleh8SsYjdVLmiN6dTOruDtuuOgavQmdLa0W5ZMK8qcbBlAdA5JHEbQAEcuvwK1sZFjC0v4/dr4iB+AofXJMlcZlUN8y0bTWx3tO8oT/iewi3YUQ8Elu5jinUJ9oJ6gEiSoWJHy0K5fXWcdx4LHUnbfQGr3aUJLnPKUtjHYCAIp8hIFkTdPvDkoUvvnuf88YULJdRp/ukfdhuKMJjm/33/M5/Pl99ucNwFXA/9yOo5F1Q1Wfe+V1O5VgJhikduLe1u555/mD/uZIx1h/ry9adjt0f7VhlNCXSOmdPHdu2nbu3cQyQHUPPYoNYBqmOzrSdAUVtFNg4RhciSgENUMqj2WffoMr41INIHDIVkTrIL1z2GXUxZKc0s9yCI0hTW6+yK0dISYUVlIdzCGrmgEEhouWaLCBY2qzsrF0yASpdQl0RXT2dIRY0WZixVlLrZ2WqnrueWutKabckkJamMjVy37ODff9Pm0r3O6+uTzR5/nd4+/lPHYVl1nHfu692ETbTgkB7qhUx+oT92fFM8mibIv3scjBx7hyplXpv2wq4aKbuqnVMiabCbc8eodNAQtyVJfoo+737obEzMVqeXCumhoetwWbUMzNFRU7n7rbr777nfPyC50pjjtJOfz+c4GfgjWZ9fn830EeBZo8Pv9TwG3AY/3P/wJv99/6HQcZ7rdqwPz5mT6mec8KZIdWgfsjarcdtFsvnrlXACUEyfoCO1Pm9LZqqvxXHD+iMdjEwWWlDgocUrs64nTpxiYQFQz2NcTY4pHpswls3xGEW0RjQq3jZ6E9ZiLF1fjlgV6+ut3U70yEdVgWnk+cyrz2bjrBMXFXtCt6YuumHV8gWCMgjwXRr4HSdMosIkEFJ1tnTGWlzlZVupkR2ec7Z0W8Q013ax57NFRX+OB9cm6iz9M1Y43KQcCiSAhxZHxftVkZLKicgVf3/R1umPdqb0EdsnO41c9TlukjS++9kV0w9oAv7drL7cuuZXPLvlsKlXsinWlIjlZlE+5kLWmoIa7zr2Ln+78KQe6D2BiIgoil864NKtILZM6Y7r0GEjJQM7ELnSmOO0k5/f7twMXj3L/RuC8U3ZAIyC5e1XVDXxffzEV0cVVg76YymU/3siy6YX88bMnD3WsOuBoKZ334oupvOfrox5TypDTLrKzK0Z7VEcUBIKqtRFshkeioSuCYJNp6gxRUujGJosYJnSHEyjxBJHdfsJ5DmacfTbLy11s64xTO7OMzbuOs6AqH1kQ2N7QjddlBwG6+iKUFnnY2Bqjq7WHa86Z3m8TZXnPLSlxsqs7npXpZhJJyYlRUcU3Cs7l5/pGALTgMi4rupHV87SM5BHJyMQ0TZpDzYjiSUI0TZOwEqbYWWx1dDEQEFJFetM0uebpawbV5aC/SXGKhKwDZRvT8qfx2UWfTS19uXnhzaPuPU2HTKUzSa2dLFhzqnn2PP5wxR9oibSckV3oTHHaSe5UYrQGwMAIbDSki+iS6afbPvGXM5nSSUWZXy3z7BKrKz0c6E2wrTNGVDMIqjrb2hNENROXbCL06+UAKu3Q2NqDXlBEuHIqoUgP5aLAslIXdlGgoTPMOYumQSRGvr0ITKtZ4bCLyLJEd2+UkkIXVVNL+sXAGn0Jg11dcZaUOFlU7GB3d4JdXXGWZWi6OVBy4pg/jzt7t1JGAoDa7i5mbD3Kddesz1gekYxM3DZ3ai4WrBrbJ1/65KDHumX3oCL98eBxZEEeNBoVTARPmZA1Kdt45MAj6IY+yPmjrrOOhkBDVmljJjW3tJZNapR/HP8HN/huyMns6enqXL9nSC5dTS3ZABgagY2GZEQ3WRgrpRsJcr8hZ1DROdCXwDBAkES8LhuSJFpLpPvJxr51MwXBOIklqzCcLlpc1TgSGqZpsqDYycHDbcyeVQ5uF/OLHHx21TSOBlWimo6iGwiCgAD0Jgy2dMQ5p8yJgEafYrCr23I4nldkz8p0c6DkRH3tVdZwshzg6z0OT/6KVz6zMCt5xNApABFx2PZ2u2jn91eeXGrcEGhgXsk8GvoaiOrR1OOSKe2pQLI7eaj30KClL5IgsbVta2pRTTICG4s8MvXdG6i1e67+Oba2b+VXdb/iwV0PAhOfPT1dYuz3DMlNdgSWKV73d7Bhf9uEpi5GQ7L2VmAXaArrOO0GqgFulzXmhWkS27cfuawKWYnj6OpAm1LNibDGxtYoqypctHcG6QjFuXr1HF5qinBptYc8u7WjQjVMNMNEEgQKbQJ9qsH2rjjLShyATp9qsLcnwYIiB2cV2C3nkgxMN9NJTnreeh27YtJRALtnifxu41cylkc8fvBxrp1zLSsqV9AR7eDBXQ+m6mvXzL6GFRUrUrtKBy41fmj3Q+zr3ocsyKnubBLT8qZN4J3JHMnuZGOwkb83/H3Mrmcm5DGa795IUw1gkftItdBsI7NkRDklbwqPHXjM8pwzIKgE+czLn+EHF/1gUiK69wzJTXYElikOtIUQhIlNXYwGhyRgEwXOLnNR4lRpO2E9vySJJPsApijh9NWCKOLubsPmtqEXF3A4oFj2S247h1uCEIygF7h4uSnC2moPF1R5eLM1Qm9CRzFNHKJIvk0npBnUdSdY1E90QdVgX2+CeUUOZubbUqabtQX2EYkuXX0ysO4iaO5g+2yJ318uUWjzZiyPSKZ8zx19DlEQUxGLJEisX76ecnf5sNT3sQOPsanF2p1hYqa82ZKY6j21C8wzjcAylYCMNN860lSDW3Zz/0X30x3rTlsLzTYyS57PU4efYk/XHmTxJP0c6j00LELNFd4zJHe6MLQOOLXQxWULKvjrjqZJmbqw9zOZaoBLbCGoxLAJRSAYiFg+cL0LllJe64OWHgTDQDIMFpU46IqqHAmqLFs4HUNqIRiM8YE8kT0BnVebI6ypdHH5NC8vnwjTFdeJaQYuWcIr6UQ1MxXBmaZOWDM40JugtsDOVI9kEZ0gMLvAPtrhD4K3Yiqx5g66I+v4l/LbUl3psfDYgceo9lQT1+I0hZtQdCWV9l0y/RISeiKtsecz9c/Ql+hDQEA3B4/r2QQbbps742PPFTJxPs6EDEebbx1NvJuMXtPVQsejrzNNk4fqHsIhOkgYVs3VJbvQjOGrFHOF90luEpGuDtgTVXj03ePj2lSfCRySRXKKYVLXWUdUrcJjc4Ougc0OgkBveQVqSweGYAPDQI1EUN/ezC2b40wrz2PJvGrOXlBNc2eIT/zqbVaeVcYHzp3FprYYK8qcXD3dy0tNEVoiGlHVwCWLuEWIaib7+xTmFtgBnYhuciigMDvfRqVbGtF0cyTUPPYoa+59hea+OLdl8RokIxObaEMURGRRTqWqr594nY1NG9ENHc20CODhPQ/z+MHHqcmvYXbhbJpCTST0REosDOCyuU6bpXomDiOZkOFI8623Lrl1kNYumb5G1Ehqh8PAC0LknXc5/ulPg65z3e23U3b7MiDzHRstkZZB5+OQHOimPmmmmu+T3CRitDqgQ7a83HINZz/JJXST5RXLORzWEHUHjs5uIpV5IIpIsouYbqC57ChuL7ZQiMiTf8Xh+ziN7SFaug9xzqKpTK0o4JLz5qD1hbik2sMbrVG2dcZJ6CZXTffwclOUhqBCRDNxSeCSBGKawcGAQm2+DTCI6ib1QZWZeTbKnGJa0810yLQTnq4uNJCskpHJ7ILZBJQAx0PHUQ3VWsSsadaCZlFC1VX2de8j357Py9e/zNo/rUUST049nC4vtGwcRkYiw2x990Ybyr9xxrU0X/PPKZdnrbcn5Q2YiVg7eT7BRJD1r62nK95FX6JvzJ+bCN4nuSyQrV3TaHXAZISSa9iTkZxuMit/OnlyN5FgL6YkIZgmpmFgJELgLQZJIjJlOq54BM/8efz1z18GXaf09tsp/dgV+PsU3mmPopvFtEQ1Lqhwsrkjzp6eBAnd5JJqDxsF8AcUYrqJQ7JINq4ZHA6qzO4nurhh0hBSme61UeSAvT0JJEGg0p3+zy+bTni6ulCSrDZ8ZMOI9Z3RivqbWjadUZbq6SKwR/Y/wh/2/WFQwf/BDzxIgb1g2DG/duK1rOZbR0tfjR88PGjkDrJbRZk8H9M06Yn3DIqWJ+tC8j7JZYFc2TVNJkRBQBatSE7RDQIt7dhlCVNMWiGZHBL8VOmrcdsENI+XmDePY55SfLIdWY+h9/YiCAJzixxUuWX+0RxhR2ecCrfEilIXO7vjHA4oqIbJ6kqrTuUPKCR0E5tg4pJF4rpBQ0ilxmvDxEAxTI6HVaZ6bOTbTHZ3x5FHMN3MphM+3rnLsepYZ4Kl+kgRmIBAQAmMWPAfeszZDsyPNHsa3bGDxiEjdwKZR5pDz+euc+/ih9t/iKIrSII0aReS90kuC5ypdk1D4ZAEEoZBbOdOPJqIKjowJDG1VA5AVRQkWUDUdTS7g46ZPrjuE8zc8BQDY58Ch8R1NV7e6YizvyfBm4ko84ocNIcVGsMqmmmyotyFYcKRoIJqgq4ZeCSRqGbQGLYiODDQTJPmiEqlW0Y3jRFNN7PphI9GVq3hVm5+6eZUKuuUndhEG7qhE9WiuGQXJiaSIKUEw07JyYGeA8zrmXfaLdVHShtdsosb5t7A2mlrqXRX8us9v+bJQ08S1+I8W/8sU71TBx1zLgbmR7MEy/SCMFoafFbRWezs2DkpF5L3LMmNxyk4F3ZN9R0hfvyPw7QFrM7SL96ox8Tk82vnZDx1MRYckkg8odL21bswv/IDRLcLU1EtnyrTRBIFSooCyNIMiu0GXX0RNG8+HcvOQ/HkYXPqg6xfRFFkdaWbqV6ZjS1R6rrjVLlk8mwmrRGNeEsjhf95J4WXXk/vuWswvV7Cukm+TSCmmZyIqJZpgGGiGdAW1ShzSeiGOaLpZjYYqejutXsHpbKKrhDTYoAlAlZ1FdW03sNkqqUaKo8ffJwnDz05busiyI26P5OuJ8Duzt2YmCiGwk+2/yRlPpAL/7bkeSx7fBeXtSfoLBB4YO5+vvCC9brt7NjJzJ6DGV0Qkufj7/GjGioSEiIiYTXMzo6dCAiUucomdLzp8J4ludOReqq6wQd+tHFYu+GhjUfZdaIv46mLseAQBZo3v0NeZyfYbNjy81G6ewa48QkEEkFKXCbavv0UaBqlpYU0OfLonr+MfaaC3JtgbqF90EjWdK+d62dKvNYSpTmi4ZIFHIZOa/0xAhdeybS3XkKorSWcn4dqmAQUgwK7SFQ1aYloVLllDNEE01qmU+yUMFQjrelmtkhXF1pWvmxQKrupZRPffufbyILMF8/+IjPyZ7D+1fWIgsjVs67mbw1/QzEUSl2lhJTQhLzQcqHuHy0CG2mg3sCgwJY7/7a6zjra9m1j3RarXNBQKVL617cIdZl4AWXffn7z7Y/x+tn2MS8IyfNJmmrqDJbpmJi8dOwl7lh+R061cu85kktGcG8f6cK0Pm8ZzVbmAlatSSQ+JM01zNxOXQid7YTqGzBEEU0WMQN9JyUrpkllQMJdmIcRj2OoGrLDzpUfWMFb37iXg+ddSnd5Jbu6YgQTGsvKLH+4JFw2iSume6nrjlPXlSDU3oVoikTLq2hZtZaZzYdpmD2HuGYQ16FPMci3S0RUg7aYRrlLRjdNBKAnrlPokIhqxjDTTcg8GhrYgXy75W0e3PUgPfEePvb8x/DYPKklMOumr+PeLfcC1tLjRaWLUh3UpeVLaQo3saVtCwtKFvDAukH7lLLGqbBaH0rsxc5iXrjuBbx274SfO4nlFcv5TMFViPLfQNU4x69zjv/k/We1wJxWlQ3LhIwvCOuXref+bfdzLHAM3dTJt+czp2gOdR11aIaWc63ce47kBkVwskhCM5DSeJ9lioSm87W/7s4o7ZUlkYPfuTL1fUoDNsB+KReQOtsx7Q5UlxtJ0SASA5fbInTDZHq3iGNmCW2JBKYsI3k8BH7331RvfAnvtrfZd/t/0Guzs0/zElYNVpS7KRxQNxMFa5i/8PgRXj9cT2jKDFQKMEWR1gIvZ+Xb2N+n4BUFyyxAMfDIAqGEjgiUOGUM00QSIKDoeGWRmG4MMt2EsaMh+65DKb1W6e23U3P75znSdyQ1nyogoGjKsCUwIiLffee7fGPzNwCL8GRRzmntLdNphfHiVC3VnpE/g6rLb6ejLoapa6i6yuaWt1lwTMepgr3fEqzuE9/K+DlXV6/mqeqnBt3WG+/l0icvnRSt3HuO5HLdPOiNqDxT13xGdVw9U6uRm3uJXHAeqk3s9yFLznSZCFWVSHENwQRDkjFamun6mTVSlRcIsOJbX2DfTbfTd/X1HAmqxLQIS8tcTPOerBka8Tjal77AsmiCE/fcR6Mjn3DVdBBNXHGdaR4bDWGFArtISDGI6SY2AYKKZQdV6BDRTJBFCGsGLilJdJbppl0SRo2GNtW/Su3//RGmriMAXa1HiYdOENfjyKKMaZp8tPajnF99Pre/ejtwcgmMgZFS2wOE1TDf2PwNdEPP6R6CTAS6E8FoBf9cOn7Ypk7lc5ccG3AeAv/1KxFnj5GRJdhImOzXJ4n3HMlNtHkwVKRqYrJ6dglLphXy2LvHz4iOq6eqAu+aAqZedTF7T0SQBQh19QACgizhqp2LmIgjGAnEkmIcMngvWZsy7HSVl3FhrJnOSjdbO2Icj2hE9SgLih3ML3IgCkLK+81bXc2Vl5/La9/6AfXLLiA8rYbWmEapQ6bMIdMR1yiyS4Q0g3j/a9aTUBGwkW8X0QywixDTDeyiQFjV2d5p2aqni4YEBBJ6gmPf/Razu7XUEpC/H/s7jzzzBoZppMjqlsW3YBNt2ESLnJNLYFRD5byq8zgaOEpLpAUAWZC5tCY7M8pMkK2GLBOMJC0REfH3+ln92GpCagiwollZlCfs+DH0PEJekYoeIytLsEyedzK0cu85kpsI0olUX97fjt7vzOG2S6d0Qc5ISI52xVTrGAUAUQKsWphhguRyIho22gWZ3ZqXrxdezS/FPVQTS12dpwCVLokNTRG64jrbOqw63YJw+6B1g32//S3TX30O954dHP7kHfTJc9AMF4UOEbck0KcZlDgkwqoV0ak6dMdVRMGG2yaSMCwRsdLvbtKr6CnTTRGGXe19TSbrduiYQMQB3oRVcE82ClZWrWRv114+/MyHR1wCI4kSf//I3/n03z/NlrYtrKxayX0X3ZfT9yFdStkX7+P6Z68npITGHWGNJMWwS3baIm1Wei/a0U0d3dRxSk6+vurrfH3T18dVE0x3HvfcpHLrks9PKDU+VSn3qZ9TOUMQiKkpQgonrBrAzhO9o/7MQJFqXLUitqiik9CMU2LXFHnnXQ4sWMiBufPofODBER+XnHqI6QYC1pss5uUhyDZEuwMDawWrbpj0xTR6owqSKNDrsArWA6/OFW4bH5mVzwyvjZhusrtH4Y1OhciU6QCENmyg86c/wwgEKD6yn8U/+g9K33oF1TDpSRjWAmtMuhM6ebJIgU3EbRNRTYH2mEpM1S37J83ELgoYpokIdMY0dnXFMUyTxmAjUS1qRWWqyZeetl5756dvwllqRV2SIPGdNd9h440bue/C+2gJt6QW1oBl53Ph4xeytW0roiBS4a5IO6Sfa9QU1LCobBHXnXUdi8sWY2DQEmkhrscH1Rlv+ttN9MZH//tLYv2y9cwvmY8oiKiGitfm5YqaK3hg3QN8YekXePjyh3n+uuf52SU/Oxl5KaEJ1QSHnodu6jnRtE3W8w7EezaSO9IRTqnokwhGR3cKHkukuubeV4CxPePG41CcXNOXnBnUe0f+QDj6GynJ9FAYsMix31IOE5BEyHPKVE4tYN/BFr5y4e2DmiBDtYTzZpdzwZJpaO4SAp+7m5m7XqN739+IKBHmNag4VVDECGd37aWz5Hr29SaI6SayKJDQTTrjGqUuCbskIkbD9EYUTnSqlEf64NhRAoZB0awZyEuWYpombRGNvaLA0x96hrBqXe0bvv1NikM6sbI85q7/Coc3vJ4SIgx13PjXv/8rXbGu1OuSlCyYpslTh5/iqSNPTdo+0NFSymUVy1i/fP24u66jSUtWVa1Kfe2QHKmFNN959ztA9jWvgefRHevm/q33p5YCbW7ZzG3/uG1cdb5s52kngvcsyVXkO4bddqgjlHZXQ7YYzTNuvA7FQ9f0jQZBELBLQorkYLAVgAEYpoAkilQWuJhX5OCpNKn2UC3hnsPtrJlRSN60EvrmzGPbzCpeOztIU+B1fvBzjcpek801Cf6ycBPPFSXIs7vY2hHDMCwLqKhm0BXTKbWB8+03yS8oJlBTS3teCcXOVuR4nDAilZKIIJjEdIMTIZWZ+ZUsLJ1BbcDFkW3WMe4tifH39atY1xEjD5jdanL2lgD0fz5qCmq4Y9kdPLDzATpjnaklMPOOafzHHw1kQ+PZi910f/yKSdkHOpq6/74L70v9vlx3XUfSzyX3NmRb8xp4HqZpppxbkhhvYPzt7QAAIABJREFUnW+01yfXF5z3ZLraEYyT0PRht2sGOUk9a0rcfOkDtbjTqPjHk/IOXdOXCeyigKIPqMn1/78gWPtiTUwE08QwYSQFTbITPfBcBFXjw7PymeqxIYh5rJn2Ob6y8o+U1p4LQMQtpYbcl5W6WFvtwS6BJFh1t7Bm0tIVQBFlig/vp9i/B1OS6K5dhOpyYwoiAcXAIQmcCB5hX7efXV2dbG5rYevW59AFi7BXHNT40GsxvP0eB7Oadfq+ez+PHXiMH277IQd7DrKicgV3r7wbp+xEEiT+z8yP8sWnDaT+3tAnq6/jvovumxTH35FSyj/9058oc5VxzVPXcP7j53PhExeS0BM4JEfOuooD03uworc7z7kTp+RM1bzGcx7J+t6qylX87orf8ZO1P8Em2lJRaDYY7fXJ9QXnPRfJDYyknDaRuGqkBgGqCpy8/bXs/tAGemtdtfhKHpq1jtWzS/nQ0ik8vqVx2OOzdSgebWZwNDgkgbiR1IsNhpn8n35ZiTyCGHqkTnSeTeKamjw2tUns75XpUkzqv/lTFpfoPPPcZTAgKjmrwIFTEnmjJYJkGBiKQlRyoM1bCjYb5Xu2Imoq3QuW01O7ECkWxIFJX0LncO8eAok4TeEq3myKEtD2c/lsATsSi0oXIwoibKtDSKh0FoB27oK0EULSS8724GMURNOeas4x1rRCNl3FbOQg6Yr5ETVCQAmwuGxx1kYDo51Hb7x33FHoqVxA/Z4judH2p9qk7AJbIxql+d//PaXVskestn0y/czGGHOkWdoPbf4TWns7tupqyj53G8EXX8zo+eySgKL3h+oDSMyaX7U6rElkedr9PyNwQZWbCpfE//j30hXNZ2PzCYpdi4ko/kFRyTSvjXXVHt5sDpE4fgy7Ow+luJTOecvQRYlZx/YjORx0zJpHV0EpkmrglkUWlV7A7s43CCtteB3VlEy7nEN3LuG2JR9KRV/JFY7b5wgcvbac9UM2yufb8+lL9DG/SeSyXZq1m9Yp4ImP/d5M1nYpQRB4YN0D/GzHzzgWPIaKSk+8hxuev4EH1j0w7LmzHRGrKahJ1bzmFM5hb/deXj/+OkeDRydc8zpV2rZc4j1HcukiqeTkwVWLqrJ6rvbv34fe05OKlPR+5hiPMWa6WVrt6NFBUo3uhx9G77MMBmN79tD7xycouvGGtM/nEAVU3cRS8g0mOQMTg5OjrCNFcmNBEARqCx280fAtlk65lSLXHJZX3UZr6A1MY/BzVnlsLHj5SXaQj1RVjej2EJft9MxbgjhtOjNffBIzHKZ7xRo6YxpFDolCZwmXTL+eMrdEXDPpiGl0Rhv5o/9V/mnWSjw2D2GvhAMIu8URHTca2v3EPvIpoIdnzrexcp+KJwMrv0zJZTxk2BXr4mDvQWyiLeWpdjx0PO2eg0xHxAYW8/986M/Woph+7O/ZD5BVzSvdeS0tW8qx4DFkUZ5UbVsucdpJzufz/RhYhfV5W+/3+7cOuG8nEBjw8H/x+/3Np/gQ02JoncwIBvnk6hq+es9VqcdkY4yZbhLD29mSWtMX2rCB0IYNqcfHd++mbe/ekUlOEtD7Jx1ME8wBHVbMkx1WwzDoiyrj3kUrCAL/88EH6ImH2dKRoCniZFrBlfzmwAFuXXA2nv5aXuLIEcRf/Iw502Zx/KZbERv8aFXT0Tx5dOaXoKy+jBkvP4VUVEiXbxF9OK2ZXptIR1Snwi1T7pLZ2xWhK2bjc6/cQzDRgHGtgXaNDY/NwzMjfHhdv/0r8c4ebNXVHL1uGiv3vZPRe5IpuWQTaSWJaHn5cj4x/xMUOgr51e5foepWSh1SQlz25GUk9MQgssxkRGxgqg4MMqTMt+ezesrqrJos6c5rU8smPDYPP7zoh3REO067oWgmOK0k5/P5LgLO8vv95/l8vvnAfwMrBz7G7/dfPFm/f7zLpsdbJxsN6epfwaoZw9b0JacSbP0zgyPBIQkY5oCmQ1JCQj+59TNdWyDOi2/XE4hbH7Lx7KKtKaihpgCWlJt8eeOvsdkWE9PLeeZYkLXVXqo8ttRe1cJjh+GRX3LskmsQFYXgjNko7nyC1TU0rruGsj1bKQqGCFxwCSFFxwB0SaAtqjHFLTO3qJRjCZM1rR9i7tOP8Fpt54gd0scOPEbo0H4ufMSakwzWlDLjuR2pZsVY0fBEtmXd8eodljbviQtTjytyFJFnz+N46HjazVhxPZ6qIQ4ly+eufY6bX7p51DRxqDVToaMwrTVTphiJ5HVDpyfew3VnXXfaDEWzwemO5NYBTwP4/f79Pp+vyOfz5fv9/iRj5E3WL57IsunkSNNIdbLxkudQREsrh63pS9agxpoZtPeTnJWwngzikqSXLBcKgkA0MbjTCyddUUY7l+ca/jxM67Sp6TcUOOZy6ayv0J0o4IXjIVaWu6k96+ReVXcshrTzTY4uvxAwCU2bTSKvgOC0mciCZdTpcNnoiPaLhZFQDR3TNJnjLce15XW6Z9Ry6NqbuE7tofaiO9K+Bs/UP4N7y17Ow0AGnJvq+PCA+8eKhq3XaXzbstLVY3sTvfQmepldMDu1RSw5dhXRIoClbfvJ2p8wu2D2sMhxrGZFrov5Q8/rb0f/hm5Yhd6OaMcpEVPnAqeb5CqB7QO+b++/LUlyJT6f71GgBngNuMfv9+dk+8t4l00njhwZtU7W9fgfWbU7bxB5PrHtOI9vOQ5YZDORhdJySQlqY+OYM4MOUcA0TQThZMoCQL8EwzCtfkRVgYvffPJs5hQM1w2OdSEwp6TXOknCYT48qwJ/wE5jSOWt1ijtBUVc9JOfoGzdyvFPf5o8XWemqnL03EuQp04nGOwlWlBMb00txWVeJEGgwCHRF9dRNB1BluhVdGIHj1DQ2kRxLE73/KXscsykUtHTmm6uX7aeP3Tfx645RxAMA1m0UeQoYsbhAMTiY0bDYNWlGoINg26LaTFOBE+woHRB6rZ0ZCgJEl86+0ssLVvKppZN/KLuF4AVIT197dOYpsnSPywFTpp2emwelpYtxWv3DoocdVM/LXsn0p2XYRj8fNfPUxHtZGjbconTTXJDK94DK0cAdwOPAjHgGeDDwF9y8YvHknKM1O38Z61x1DpZfO9eHNf/cBB56v26rOTkQaYuJWknJx57NKOftUuCpRLBTBEapmWTZBgmoihYDQlhZD+9sS4EnxnVubacqXkG2zpiHOxTOBhQ6Iom8H33Xpz9UxtF7U3UvPosrYsWoSoGUihAqGYOR4MqS0scCEgkdJOoZiDpBrISp1ewEV98LlX+XbB/J70XXsbG1igXT/HgHWK6ubp6Nas/+TR8cvB5ZRoNA+zu2g1YhAWgmzqqofKJFz/BPz76j0H1tqGRVoGjgOvPuh6v3Uu+Iz9Fcsn620izm1f+5UpMzGGRY77d0kie6r0TyfMSEVM2VpqpjdtQ9FTjdJNcMwxy2p4CtCW/8fv9v0h+7fP5ngcWkyOSGwsjOQc7FtaOWSc78K2T5NkejHPP03tTDYVsBvgPtoVghMmJsWDNgZ6UjAyHVZYeDZlo+kZLj5ySZZte5JDY1R2nvbOP3pu/zNw//4bKXe+Qf9ll1N7zddqiGpv3H6ez/jjFe3fSs3AZdT1wTqkDh2TjWEglohnYm5uxRyLEfQtpyS+gauPfcXY10VFVyRstES6p9gwy3RzxvDKMhmF4Xer2V2/nUO+hYeaOIw3jr3l8DWb/f0ncuvRk5JXOLqlP6Uu5p6iGimZo/Hznz7n2rGtP+d6JdOelGiq3Lrn1jG00DMXpJrmXgf8EfuXz+ZYBLX6/PwTg8/lKgT8AH/L7/SpwEfDkqTqwkXzn7NOmZVUny8baaWj9q7rQxWULKvjrjuasLZysKM6CMeDr5B3JD91keyKLgsCCYifOY0fYtHMvPWctZO/NX6T3zZdYhfValKMw9f5vEFp7LbHiMqrbT9A2dRbbuhIsLnGwrMTBtiPtxEoqQWinpLSAjnicE+dfhi/WhcdroyGk8lpzhHVTPYOcjNOhJsNoeOh85f7u/RwPHk/dP1QAm46whkJAQBbkUWc3r5tzHR8+68MpUolqUR49+Ch/OvSnSR+BSmIkWUxtUS27u3af0Y2GoTitJOf3+zf7fL7tPp9vM9Zn8fM+n+9mIOD3+5/y+XyvAW/7fL4EsJNTFMXBSXIKxFR++bo1kPyLN+r5xRvW1wPratlEBiMhXf2rJ6rw6LvHx7WCWjPol4+YKbkIAIL1Qls0YNXs0mE8i35GghGPY3zpdhZoJi1f/TaNjkJOXPhBElqUa1SD4PfvI69uO7WBIPtvvJVYaSkz82w0hjT29ihMI8HcX9/PgY/dQrSiGqGjm8L6A/TW1HKwoJCFu3cxa8lS6oMqrzZHWFftTTmxTAQDJRmaoQ2Kxtw2d6r5MBphfWD6B1hTvYYd7Tt4uv5pTEzufutuwmp4xNnN25beRrm7fBBZem3e1KKdkdLEXIqXk/KRZGMk6bAMnPGNhqE43ZEcfr//riE31Q24737g/lN7RINxpCNMVB0+5zowdcw0MhgNo9W/HBmkYEOhGSaiANoA6YiQzF37tXPJ29Mhl4t+kt3ogupqFl66klfu/zknapfSOW0mf9rTypxd+ykFinvamffErzjw5e8SUg2meiRaozpNCrgvvY6Fv/8ZB278LOHqGSjTZ1O2dxtdC85ml+DlHElgVp6NoyGVV5vDfGCqF3kCtvYwWJJxMvK1Gjl2yZ7qbI42bH7nuXdS7i7nurOu45XjrxDqd1P53vnfG1bPrPJUMa9kHj3xHhJ6YhBZ3jj3RtYvXz/q8eZieU4SyyuWU+4qpyPWQf+Jp66Usiif0Y2GoTjtJHemY2qRC0dyF4QA+njCqgwwWv0rG1FxEqppkZyZZuJh4CmMFMnlyiZ+aDc69LvfMutvf8Jx+CDNV32M3pJK6j5zJ/Pj3Ux7+CcUNRxixf7N7Kj+KAnDpMwl0WPKxKfO4PCnv8jcfVtosMt0l1XTsXgllfX76J6/lJ1dCRYV25mVZ6M+1B/RTfUgTWBJ0UBJxrHAsRE7m+lWBzokB3n2PLa3b6fEVcKmpk0pt95pedNYXb2aSk9lKvLqS/QRSATY37OfZ+ufHVdamsvlOTPyZ/DtNd8edF5g7ce4bcltZ3SjYSjeJ7kxUJHvpNRrp7kvjssuEU4Mj+rOROj96aphCinNloA1+WCapFa90J/ODkUudswCKRHw0G70lK0bcXe10bDuWnoWnY1/5graPnILC35xLxV9HVxY5eG1lggeGfKcNhLlZciiwLEZMzgr34742mY6Z82lfeEKplUU0hnXqeu21ijO9Mo0hFRebbKILhfb2Ebbp5BOn3bOI+fQFm3jzo13Dnuuu1feDQyPvLT+ZpZqqIiCmHX3MtfLc86bch73brkXp+QkoVs7Mbx2Lx/1fTTr5zqdeJ/kTgFyJQ7OBqphpmSig4Spqfqc1YGY7G2MjtqRu9GFDYeY+5eHaS4ppN3toHN6Le/++3dZvuVlZr/4FKsu/RBvd8TItwnoplVHdMkChwMKXjVG8cE6+hYupzWiUuKUCagGB3oVZubLzMiTOdbfjLik2jNixDoUA11lSm+/nQ3risZl7vjZxZ/lod0PEdetCFxAoNJdyXcu+A7zS+YDI0dekiDxjfO+Ma61fLkeoD8VOxgmG++T3CgYSk5GFq4iSUxosmIC5Kj1p6swZNqhP181TRDF1K2ThtG60Ygirt5uan78n4gXfZC25WuIVE3l3Yuuo+PVZ7niho8R1gz29CQosAmEVctYoMIl0bHqAopsIk7dpDOm0ZfQLfGwadAQ1Kj2SEz1SBwNqghChLVTxia6dO7Lz9RvHJe54y2Lb+GWxbeM+vtyGXkNbDoMXGJjYo6bmE7VDobJxvskNwLSkVNMyb4uNd7JiomQI1iNB6Ff7Duws5rstCYlJqdmrfZgJLvR9poa7DUzACjQ+3C/8QInVlxIaM5cGj72KV5uCnNBpZuoanA0pOKVLaJzSVDjtdEU0XBKAgV2kb6EgV3TKXFIdMZ1TkR0Kl0mFS6R+oCKQISLqtyI4sgf9nTuy+nqbbkUwOYq8hqU+op2DIwUUfbF+8ZNTDUFNRztO8oz9c+gGiq6qfPLul9S11k3YcupU4X3SW4EjOY7lymSMozqQmfWMozxkmMSloTEGswfOrdKvyvJaAQ3MG37p6Uf5Jc1l4z5OzPFSN1o5fIrcD17nNbbvkLfjBkcC6oEE2FWVriI6yZtUQ2nBF1xHackUFtgozGs4ZKtHa4h1cAhmUz3yByPaLTGdErtJkUOiSMBFZEYF05xp43o0rnKwKkxd5xoSni07yhP+J/ALtpRDAWX7GJOwRwO9R7CMAwMjKx1bQNlMZuaN7G9/eT0pWmaE1pveKrxPskNwUB9mNo/j/WFtXNYO7eMW/6wne6IAkBTb5T9LQGmFbtHTB0nIsPI1kF4KFTTxDANeqIKugm6aSAKIook4OonyZEUFkPTNncsDEx+LVEuKaFgxw6mdBymceUKjodV+hSd15sj1BbaSegSQUVHwqQ5ouGUbfgK7DSErNdUN6AzriMLsLjYwZ6eBJ0JgyLAI4v4+xIIAlxQNZjoJsNVJlPkIiWs66xjX/c+xP7/VF1lf/f+k78DIWtd20BZjIBgpdGmiUt28R+r/oNvbf7WuLq2pwPvk9wQpCOm/3rtCP/12pFBj3tudyvP725l5aziEVPHXMkwxgPdMIkndCIJDbtNAgNMkdSMV79cLm00NzRtU/qPezw2TNlgYIQ3xTDx9sSpDyj0Jgz29yQodcm4bCKKbpLQTfy9YQ52v8SxvjpKPGfjthVR6q6lySxEEODCKheb2uP0JEy8so5NFDjQaxHd+ZUniW4sV5nJxmid20yQbGA8W/8sjaFGDHPw35lbdmetaxstTffavMNqh5PlopwLvE9yQ5COmEbSx5mMnjrmSoYxHmgGeJ0STpuE3SYRS2gkK3FmP8Ol8y0emLaFbS68amyY4/Gp2DEriwJLS5wU2CX29sTpjut0xjVsoohNtJbitCfiGFQjSw2cCLzCtIK1NAd3Uu5dxAnKMFC4rNrN660xQqqB3TCQRYF9PZYc4vxKN0p9/bjdlyeKXK3lSzYwFpQs4NZXBkd/kiDx+yt/n3X9cGianqwdfvz5j6etHeZSiJxrvE9yQ5COmD574cldpEkMTGvn3P23CY09ZYpsrpaqaeKxy1TkOazN9UIyiEu2XK3GxMBdD0PTNtuLL6I2Ng5zPD5VEASBWfl28m0iO7ritMc0EppBTLNILt/mZErebBaWzqW2wEZYaeQv9XtpD28nv/himiNO3jZiXNpPdH0JHdOwBNJ7uuMIwKIRdHyQmd/cRJDtWr7R3v+a/Bq+v/X7eG1ewmp40M+9duI1fMW+CR/vaLXDXAqRc43/XYKXMwjJtLa+K4LUX9wa79hTpkheLTPZvp4c6xIGdFfNAbNcJiCLYorzAjGVpz73H2jt7bS7i1jdUkMgduoiz9FQ6pI5v8rNrDwbXpsVyQUVHQQ7Jc5CDDx0K27KPHM40v0Uqh7FLfTgkUVaojqvtkRYW+Wk1CkhCAKSAIoBO7vi7Kqej/vii/Fesjb1T3C5ALBVV1P4sckTvma7lm+s978x2EhCT6RWEcqCnLON9Mna4e+v+D33rLpn2HrDZDS5rHwZVd4qFpUuyuk+2YngPRPJ5XLgHE5PvS2bq6VmWLtORU7OqRrmST90E2tLlx6OcuK2L6Ps2Mzc/juPFk3lI4dfRw5bxffJStuGCm/Lbv/8iI91yyKrKtx47QnqAwqgEVYNnJJIS7iFxqDKi5EDuGxVNPQ+zY1zP4JhyBwLq3TEDF5qinLZVA+b22OEVQO7BAHFYEfCBnd+h/OrvakRsGz85iaCbDu3o73/P9j2A66dcy0rKlfQEe3gwV0PohrquJoOI2Gs2uGZusnrPUNyuRw4h9NTb8tGPKoZJpIwYKLBHC5mtpkGansHpjEgwjNhVfMeVjXvST1uMtK2dMLbsSCJAouLHRTYRfb2JCCiEtaM/tTJSbGrFtPU6Iq+y9mlNg4GJGYATRGN3oTBiycirJ3iYkeXQkw3qHbLNEc1tnUliBvwgaleJFHIiavMZGC09397+3ZaIi08d/Q5REFM/T2IgjjhYfpsaoejpbSnqznxniG509XpzPVIV6ZXS9U0kQXh5EC+wEky64d28CAIdgy53zq8oop3KUqlt0s7D+PSlYxswrNFOuFtJhAEgZo8O/k2ie1dMY4FFcrd1QiCQVwvSE11PO5/kVsXf5QdXfH+dotGr2LwSkuMVWVO/AGFqGYyr9DOwYDC7p4EIdXgQzV5OXGVmSyke/+dkpPaolqcsjO1OyLpmnJ97fUTFi1nWjscSw5zupoT7xmSm4h55XiJaaJTCyNhLPGoaZroBthlEy3pvW5aOjLDBMOwfPr1+sMwZwGC2wuA64ILePusq3m7votQQuc3G+6lOtKV87RtJOFtNih2Slzg6sFzeDN7bXNIiC68poZmLwVhAW2xLnoSOivKnOzpEfpfApWAYvBOR4wFRXaaozptMZ0VZS52dcVpCKk8cijA9bPyyHecuR+Noe+/aqi83vQ6NtGGKIjIopwioX9b/G8T/n3ZTH2MltKerubEmftOnibkkpgmOrWQ9jkzEI8m5S6mCf72EEUFLgwsYlN0A1XXcZk6UiKOVFSEkJ+fOqaHPrGCNfe+Qiih0+vwUh3pymnalkvh7V9f/XdaWrazoOhKjs78V+Kyi5gWxiWXYBeL2NoR47wKN4uLHTgkSzpjGBph3WR/r0JNno3uhMGRgMI5pU529yboSug8eiTI5dO8zMyzZTzYnw2yqUUORbr3XzEUSl2lhJTQpIyeZVI7zCSlzbVLSqZ4n+SGYKLENPQP+MC3T/4BD2x+bDzUSc1dL4yr+TFWAVjrT0ulZO5mgs3QqeptIiZXogkiyDIOuw2pqAhjhHnOr1x4O7ddNFw+MxHkUnj7jNrB/kIvNjYztUdiQfnNSIIdTY/gFotoCCropsnFUzzMLXTglAQgxomITlQzOBHWqHBJ9Com+/oUFhc7OBRQ6IzrvNAYYnmpixXlzjHt1LPBeGqRQ5Hu/V9QsoAH1j2Qs+McCSPV1VojrdT31Y+Z0qZLtwG+ufmbfH/r9yelRvc+yQ1BNuNUQ9PaSCDE8f/vSyP+AU+0+ZFpAVjtj0BlSWThlDy64gZiTEFUFUxBQMJy83Dk52H09aLHLTugZBcVSjM+pmww1jrHtu/dS+8jj4we4fQdhze+D4c3sF4P8tPiIurtAo19G7FLDpYWfYQiQ8CQ3CRUiSMNXfRs2M/5TXtQn/wTRTPmkLj9Ltqm1xLWDKSEQIlDpDNusK9XYX6RHbuo0hrV2N4VozuhsbLcTYU7Nx+V8dYiAR7b8SCth57nqtajeKLdHHLns6c4L2vx8EQiyX80/mPQHGtEjaRs0YGUuWa+LZ8109ekjSaT6bYkSOim9VmZzBrd+yQ3TqRLa4v/8EsY5co80eZHpgXg5NOKWOaYpqZiAqKmAgJmfwam79uDVjETI25NAMR376Ztz160m36aeq5ATCEUV3MyqzqSgWbyd8d37059P2KE89ZPYOcjINpYLcmsbusCXQVnPqy+nN1vPczOGTeie8pQQkF0SabnrAW85vGyvPBVio76KTm4Fc/CBRwJKgQUHbsoUOGyNHV7exTmF9mQRYG2qEZjSCWqhplX5GB+sRPbBCzVJ1qLfGb/o+zXQzxaZEMsrMQQQDN1PAZ8vOaDGT3HRCNJUbCiWkmwSEoztNSaQlmQrfloQwEBvrbya8OIamC6/W7ruzyw6wFM0+QG3w2srFo5KTW69xTJJSMvpT/yevTdRh7aWI9uZr/weWhaO7+7gcuPbsYEEg43zkR02M9U5Du5/6NLuPfFA4TiVg3iF2/U83Z9F+GENqZ+L9MC8Ml0VcCIxUGzjlFKHrgkgSThqZmO6HGD0wlAm7uYusq5BOIno8s/bj3B0a5ITmZVRzPQFNxuzOjw12wYXEXgyIOrfgRTlkHrbnjmNlBi8MRNLNRUooVn4U8U4A2GiVROxTAhVD2Tbev/k0X//WNmRQKsrnQjCXCgT7HGxSQb070yDSGNPT0K84rsSAJ0xHR6FYPdPQm64zpnNR8i/KlPgK7z9EVOHl+tZySFyEUtcn3hMn7a+ir1DieqaVAgOVkV7OYLfRHK/f+A88aO5iYSSQJcWnMphmmkmgcbGjdw/zZrDculMy7l6tlXj0lUA9Ptt1vfZkvbFhqDjXxm0WcmpUaXNcn5fL5LgY8BD/r9/l0+n++zfr//oZwd0SRhYOSl9pNcMH7yhcxWMzcwrTXiceovvwINKO3/A1YbG9P+XDJlHajmqGsKZLRfNVPxaJLk0FSUtnaEwmJEh5NU6U2SEe12Km/6F462xxEKCgDYXjWfBxZdS7Xazh3yX1kr1VFCgHirG/XRC7Fd+T0oHn+tZDQDzaEEFxsQ1Q3Cunusf0mUngV/vwvCHWCA6Clnbulyml55C6moBAEIVU4FQyNcWU3dp/8v9J1glU3k/CoPsiiwpydBS0TFlmdjQZGdfb0J9vYozCuwIQC9ikFcNWgOJWjbeYSycy9mypY3cIVV7JIzozRrtFpkpunj6qsfZNi7/6N5oEQheGKEV/0kctHVnpE/g1sW35K2rra0fOmokw7pyi27O633+Z3Wd7jwiQuB3AuIxxPJfQ74V+DrPp+vGFias6OZRKRrKOQK2RTTkynr20e7U9HcjBI3H14+NWf6PbWf48KvvIJZNB0QEJwOJH2wN14y9RLyrO7q/7liCT9vgdvtz3OD8AaqKaFgQzYSSIdfghObYX2dFU3lCFJRUeqCILhcmLGYdXyJRGZPsP9Zi+AA7HkYNz1P543/xkwdTtz5HVzbtyJoKuHps8AwiJVVsq+4BNqdCmzdAAAgAElEQVSiLC1zsabKg00U2N4V51hIRQLOK3fxdkeMvX0Ktfk2ShwyQVUn0tSM5PLSuuICQlNrOM8Z4oZrbx1TCjFaLTJaV0fg6acHpY9jiWZT93fvJ1ws4S6ayrLoQe4MNExqJJmEaZo0BBuG3f7Azgf43pbvAVY6e9+W+/jm5m+O2pxI1vB0U580i/XxPFOn3+/v8/v9XwYuA87J2dFMIpKR17F7rxr0r7rQOaHnHe0POLx7N7/96g/5wA9fZ87df6Pmrhd4emczD31iBfnOk9eXKxdWcce6s3DbpQkdSxK6YaIHA8Q2b8YQRQRRxFAUhJgVLZmmCbqW2jZfdPMnmXfwACWf+xwOWaJLdxMyXXxZ/TeuUv4f/1e9FU2wgRqHXX/MyTEm4VqyGMBKV/sJLmMcfwf+9In+bwS44X/o+NXvrfWHdolZx/ejePOp3rSBolgQyTAwTYGQ28uRoMqm1gjdcZ1VlW5WlbuwCwL1IZXjEY3Lp3qRBTgYUNFNA0dTI7aGenSnG93hIFI+heYFlxDSillQsnDUNCtZiwQIbdhA509/hhGwIqDE3r0Ykcigx481o5q6X41iN01UQeSt4OG0M8xJDL0QTwSCICAgIAnSIDKKaJHU3Kxu6sOOvzXcSm1R7aBZ3StrruShSx/iD1f8Ie1MbC4wnkjuheQXfr//Lp/P94WcHc3/QoxWTFf27GHlnr18+7q5o6aij285zq/fPHoyzZwgVMPECIWQBNGa0FcVTE2EaDS13wFVxSElRbIWTqbgVhr+04FP+qO/QrBlUFo00TGdgReIoemq1t09+rxsbyP8/pqTR29zkvjlTfQ+nwcI2NwxbA/+hLKVF9O54GwK//xL1DX/RLy0irhcRGcgjCx62dkZY3qejeVlTmwivNkW5UjAMkb98Kx8nmkIcSyokneiBUc4yP/P3nvHyXWX97/v7+lTtjdJK63qatQtGXdb7g1sY4ONA3YSOqEEbAhJ+N2YUEJJLoQUQkJCLmCaMRgwBncbXOQqy+pl1Fer7X1mZ+b07/3jzIx2V7vSriXg3pd5XtrXauecOW3OPOcpn8/nUV0br6oWzbY5MHyQB185RN7rRVEq8PxhllQvOe5QT1SLLFkpfRxxRo5T+V1YvZC9Q3vLkeKZVhMfzbqcnR1illHFvhu+wp0vff41RZKvhZcshOCBmx4oY/U+8/xnkEga4418+IwP88WXvogbuLx58Zv54BnHIt1Qhrxr5bsmrdP5oaQpuZy1hx7nxa5nT4uoQMlO6uRSqdTdwPvT6bQLkE6nfzl2eTqd/vppO5r/H9qJbmB1zhw2Ny3j41cuLaeiOdenbSBXhp0ADBc8DE2B0+TkfAlmdTXqihUosRhC05BCoChRtBHJk2joRSd30t0eeRHyg6DHYd655ZfH0nR0xaDgOWw4uoFnj2wid+CTfOrqN5ywmeMWh9kQHF9CCAYG6P785yf/8g23w/9eCcGYlNYr4A5ZkeqKlOT3RxHN7JeeplDXSG7xmSx8/H6Orr8WPT/K6Ox5dOd8DEUUFYhD1tSacPAgv83r7C3Esfft49aLz+DHv9nKyKIU8Z4OEl1HsYYH8CwLaUj8cBhTrWJVw59yNPMcf/H4B3nwrePrcpPVIvdddTV+e/TAGJs+9hf62TmwE13RMVWTIAzKKr+KouCP9jL/sU/wgVwfxGvhPY9jxapQXj55JHk65KTG1tWqrWoqjUqEiIDWutB5S+tbyti9AXuA2cnZk4J+pZR8f/fP6cm7LK8/HyewGHZGOJqzZwyJOZlNJ5JrB15IpVI3p9Ppw6UXU6nUGuDOdDr9nlM5gFQq9S/AeUSP5DvS6fTGMcuuBL4EBMBD6XT6H05lX78LO1Exveqyy3h7kQ5VopJ974U2frbpaBl2AlG9MDxNDg6ip6JZVUH8bbei9hdQ/ajJLywzGl6jKCiahlpUHZHyBPsePAg/uhV8BxqXwbLry4vG0nT6hmJ85KcPYjZ/H4SPmtjLcH7NpJscW2hXKisJPQ9hWcTPO5fc089EWneJBFU3RPs6LmIMQ9YlJX8TJln4th9B7SIAzEGH5L/8OzLwCQsF7F27YWSE+U8+wN63vouRpauZ/cqzHHnDOQRihDB5Nu2j0JLU0ITghY4slf/+z6z1Q7Z88P+ivWYOj7+yn7P/4U5e/djnyMxdQGDFSHa2Y2SGqdWquChcTr4pxkvdTzOvaj05t5Wn2l/kLa1vHH/SY/B95PqQ/Y2AgpJMjKvjNsYb+Ojaj3LWrLO467m7GCgMRJAMQBUKVzzxT9H7dYsbFyxi8OHbGClO55qqYH+iB/GMeMnDR/jOxq/RLR1+sOM7KIAnxDGuc+Nanmx7sozd3NK7hYvuuajcnKixmljVcBnbBmz67YBtgypDts3W/p+RdY4w7BxmuHCEuB47ZVGBsXZSJ5dOp+9KpVIvAk+kUqk7AB24E6hgQkYzU0ulUpcArel0+vxUKrUC+A5w7phV/h24BugANqRSqZ+l0+ldk2zq/1N2IhULVXBc8yOSPRJTpqszlYnyQ4mmCIIiTbuE7FJMi0gyMiLua8XGw5StjqE2+N+rwM5AogH+9OegHKsbjqXp9Fg2F807k838iCAMQUze4JmI0wqz0Rc0uX491orl5J55FqREsSysZcuBCaqzCDxgQ8xim2ny63vfQU0oIfQx1tzK3K9/o7yf/VddBYBuF0jt28Ke86/CzQwxUtjH/tqFrFX68EQzbaM+9Uae0Wd+Sc3ai6jdt5N13/giG++4i8N6Bfl33sGZX/8sWz7wKTILlzIyTyfR006it5twKMu8FW+lI9dNenADNdZiepxm2rIuLX434pmiYxvtKV4BgTMaI7Cja5+oG2Hgm/9RTh+1dBtv2/0GqtesoyPbMW66mBJ4KLl+UHVA0JbvRiX6QnpCTFmwP9GDuMRLnlbpYcO/YjhZMAzK7rKkow88evhRHjn8CH7oE9fjZN1Rqqx5zK9aS9KcS63Vwp5hSVzzqbc0rpjbwvd33s/eoR1lSNQ1C646bXS0kk23JvcM8AjwK6AXuDWdTj9zGvZ/BXA/QDqd3pVKpWpSqVRlOp3OpFKpRcBgOp1uB0ilUg8W1z8tTu53OfD5RCoWH7h4Me++cAEFL+DWb75AT9bhLWubeXZ/H86oO+mxzJQp4YUSTVCOFpWifHvykotRR1xKnH1FHJv3cJyVUsL8QJQWve9xqJxz3GrjaDqU4ARx/OzKSY/tOJxWlF8el0aNTVfHEbtf+B/27fk5dzY14ArYoEluyBXreXpiyv10dL1KsGmU0WXXkPe3EYZNLKpuptKweKXPpjsH9coskl1b6F22gsTgMHN/9I90v+1v6F17PrsbG1n3jS+y9R0fZnjRMnKz5xNUVpHPHODpfT+n4A9TH1/BUD7Nytpb2T3k0nvgOVbveAArKICiQTFVc0dNhKohfZ9sm0r2P79VPs5S+vhO84fE9fg4lV+bkB9UJPjgSAYRuPzyqEtWUdhv6HypoWFGA3AmPoinpRASq+HvMg7/Nm8+B5wBvNAjFgSohNiagS99GmItnDP7aq5YcDPDDjiBx4iTYcPRBzk0/BTtwz4fOuPPEEJwRv2ZvHHBd096rKdq06nJfQO4HrgHWA58BvhYKpV6JZ1OTwO9eUKbBWwa83dP8bVM8XffmGXdwGnRFv9dqYNMxwIpj9v3L7Z0jFtn4rHMlCnhy0ge3PWieYSiNFB6wnol7vlxW8t0wv9eAbk+0C245Tsg1MjxJRqi18bYRFUMIRUmG5EzGU5Lb27GbD1WrJ8sjRpH7L7xv7Cu+RLKfVchAf+m/4TWt5x0P7ubPL5/6X7mVTZTn1jLSGEbEgVFCC5r1HgiPcjAijMJ5s9jznO/JW+YKAvOY9m932L37R+iu2Up3jvvZM23/oltf34HmQWtDNXUMNC0lLCwF12Jk3GO0lSxGqRgaZXBAauJDSs+yfJFKebMWYzojoDLZqVN8oxVyP4D4BWgdiG5AyPHzvuii2jL/GK80ozQ8KXPjjU3QpGjuqB4vquBXz/63hkNwJn4IJ6WQsgVn+aCKz49Dqvn/+sZDIQW/Wd+hP6lN1Pwi5RCRbCsRqXe0qi1Wnil8185mnmZXQMGQvw5k1lYfiifXlGE6URy24FPptPpUivotlQq9VfAi6lU6pZ0Or33FPY/8WzK8mcnWXZK9rtQBzmVfU+0iccyU4FOP5RouhJRuoi6YQg57uKJMVfzuEjuic9FDq6YFnHP26PXQx/W3Ao3fmPMdo5XxbBlHqN2A7ByfP0tEUVaYwvtyYsvHifjNJUq73R19KbCg1236DquvPbP2De0n/sO7KEytpL9g0+xtO4q/KeeYO2vH2Dbh/6ObNMCOtecR8OLT6OPDDOyZAXzH/sFRy69jv6lq9n6vr9h9be+wu4/+0s6U60YapKGxErCcABFqHRlt7CxdzGhWM2aM9ZzeNF5bHdCeoXKihWLMR+/C8PvZO5NDZDeCEKBt9zJ/o//V/m8f3PLIm4anFrl93QNwBlr01UIkVKS8UL6CwH93QcZXvB+pFBRa9dSqyssqFB5pv0BevJtXL/oOtwgwTPtxx9fKCWjXkjGDRlxA0bckFEv5Iw667TxhEs2nZrcNyd57Z9TqdRm4CHg+J759K2DKGIr2RyiiG2yZc1A1ynsq2ynOtN0JjYxLc7aPo/cuf64tPjCf3ySjmH7tKh++GPSVSllech02amVViyKak5UDMZIgAwhcKOfsTYmJSzZZKoYinUU1bHH199yuZMCpk9Uz5zOEOapgNmVRiWzGlazumE1Dx3+EE6QoLtQx6W5fnb2jdAcBFz4/K94cv0bGWmcQ3D2eir2b0Xp2oY882rm9h7hqDKfgdQatt3xWS48vIndLVfSWwii+qZYzCF1BxLoyGxkXeNqtg44rK41aYxJ9o24PNd3gBVaI7O0Qdj7yLhmjlb3k/J5lzjKU6n8fvQ3H53RAJyJTQ+MJCxYD9d8cRyDZaoHyfq5l9OR8+i3AwbsIi3SyVCx9V4WDO2gQQ+ovv79KGrkTn598KfsGtjFj8rHJ9GUCuYkV3DunHfwYk+ejBtGeM6iYrUiogyk4Aecbrbpa95aOp3+TSqVuuwU9/8Y8Dngv1Op1DqgM51OZ4vbP5xKpSpTqdQC4ChRynz7Ke7vlGymDYDppMW9GZverM1gcWj1N585wH89fYBPXNXKx65YOuNjlFLiyyhdGKNqjiIEQREjJ4qvyWJX4rhI7vqvRT8nsakiCqRC6Mxi5QPfPY4neTKc1lT1zOno6E2GBysM9KIBQ5s3kr/7vzh06VK29W1CUw6wpuGzDA+OUNV+kM5zL2XRI/dx3iuvsO0DnyLfOBspFCpjlbRecxEjnobz+G/pa2llcMFSHm6dgzd4L7OS15H1dAqhjReaVBrzmJWsZGGFTnfBZ+uAw6JKnfOMPrZv/xFb5t3CnKGtLO/4FfqYZk7pvH+0+0c0dzdj+/aUKr8zEbEExokaoJng25B+CNo2HMdgacu0oSk6tdYiEkYzs5LLeaEnRFccDFVQZ6k0eH3U/fQ6zOyRqHzxF09D0cFJKfnQGZ/g7l0/Y9DxsLQ6aqx5zEo0s6x2FV0FC034SAlOEOKExd9B9PCdE9dYUHnSW29Gdkous9QUOIX3P59KpTalUqnniUpDH0mlUu8CRtLp9C+ADxHVAgHuPcXU+JSH2ZyoAdA+lOdd336ZI4P5Mjf2kqX1U6bFuqrwt/dt5d5Xjo7bR8nh3PNy+2tycmFxG7pSdGpEjQeIIrvIuYWEI1n2XHAD4de+R1gxe8b7geNVUYIwiKRzpEnrvrkseP670YqWBUU5p1PBaU2po1eMVNwnHkdIBTlmP6VesNy1l8Luvfy1EitGPVneOH8Jbb0hlfNbkBWVdL7rw8x54Zes+N5X2XX7neTr6hiJh7y65zmuW7iapp4jhPkCA2eeTyGIM2Qv5+GDH2Nl4+1UW4sJpIemmtTGFrKp3+bsBouEFnKwb5Dsxm9y9v67aWu8kIONFzNYvZxVF95C/YRmTumankjld6YDcKYUNSgyWOR5HyTvS/psn69c9hADts+wk+HV3k1knKMcHn6Kd654MxW6ghg5Ct++PIKxxGvJv/sJMloDI8MOI05AxgvxwhXctHR5NGdEiTB0XiDxpWTE8XHCKNuQMnr46gpUmwo1pkpz4tTVbibaH1yFJJ1Of2rCS1vHLHsGOG1dgFPVcztRA+DZvf0c6BtPzxkp+FOmxZvahnjbN5+fcl/6axRqLMFQNCEIw2MQEsGYAdlFDfRQVZG+P3l3dRo2MaIIPAsKS1F6LudvX/xvAO5ddiVXd2ymxrajJkMqctwzwWmdtAZVjFTMmElybgWyFLKqGtm+ONgufVWCLYsEST1ZjnrmVTSiKg5tN9/G8iqDg1mXrW9oZuEH383qH/wHL733w2Tqqghdj18f2sX177iVCysr2D7gsH8kT01sMec2/zUvd/4LqxvfQVNiJY3xShKqRs4L2NCd57x4juVPf5w9tRfyUutfcObh79OQP8T2a3/AK1mTFq+TpQ01aGZs0mt6WlR+JxE18J78BwZknH4nyUBXvtwwiGvVnFGvUR9rZlPn19nV9wIN5iVU6DdRGO4i85MPM1K5jpE58xk54304QybewAC+YqIoCqEscqdliC/BDSV+UXYfESnhxDWF6rhCvaUxK6GSdzr5yiuf5+DwUTLuIJamn1bxzD+4k/t92qnquZ2oAbBmbhUNSZPWpiQvHBg4aYdk4rEM5T3efeEC7t3YTt4NaB/Mj1MOni7kpXRKmhIhqMvpqYhqH75tg6YjpEQqKoqUx9fkpmljIwo/CFn92ccoeAEf2P5LGuwRuuM1/GDplVzVE03+GttMmMnYv5Pq6A39N5gVGG/9GnP/ZkykImH/E3V4tkvq+tu45NN3cceEbaeqDTJuwENtOyi4u6mLn8XwlX/Cint+QPBKjPDSd2NoSQreADsGM4TC4uzGGIYK6WEXI76E21b+F1fNTbB1wKEzH0UqtabCUMHhmX0HOS8QnH3wbjbP/xOeX/qXrG3/GRf84mr2zrqStrqz6a+exerzb6LGVGcepU3TpJSMuCH99rGGAUJBrT2DekPhwNBTDBYOcP2iK4lrCTZ3H6BtNENL1XoW1lzPk0dHKRzagTf37XhaHCFD/K695BWdNk3BVgxQNDRhEtPj1Fr1mKqOoSrUGAp1MZWmmMbchEZSV7CD6HgybsBLPb2EyhtINVzK4aFHGCzsPa3ima8rJ/e7HCO4qrmKjXddCcDi//MgwSR+Y6Tg8flf7eTxXT1lmafHdvWUyfrDObeczhbhYwznvRlBXrxSJKeIMotCEQKBRGazSM8HLXKKUlUnhZa8Fis1c5z9+zl4YxShtl54Fi8u7GTgaZuQ8fW3sQ2Gk0kNnTS6mUx+6fG7INOJllDxYMo5FYoQrK23+HF6D32Ffoba/5Xmi87nO2dcSvvIBlr7kyytvxVdTaIIm668j+1LVtVaJDSFzf02w27Io+2jXD4nasp05n1wQuZ1P0O3b7Bh2R2sa7uHC/b+J68uvJ1NLX9Ca/cTLGv/BU2Dm9l+3hd4qafAwkqd1irjtEEobL/o1OyAAdvHCwEnQ9WWe1g0tJMGI2Bg/ZV8aeOd7B/uIa438EJ3DwljNnGtlqV1b8dUE9TFz6AzH4DRACZIEZUEVBkwqqgUVBMIkdIjH2Tozfeyp7+dT5/7YeZXVCARZLyAjBuye9gl4wZ4ocQPJXYgUdT5rG6oJK5X8s7lVxOGp3fAzevKyf2hbX/vKD9/teM4p1JqEFTEdCxdwfZCdFXgFFOImUBefHksXS39XwgQSJzduxHzW6OuqgCpaJHzO32MsmnzJEuF9jIz4QRKtTOObsZwbRd89W9gxY0nXN1UFW5YsIQH20yCcJTe/A5mJ8+l4Paxd/BhfClZ1fgOaqxG6i2VPjvg1X6bpdUGF86K83x3nhFX8nhHjotnxxHA0bzPkfhSlqf/H47Wn8OrC24nYzZy4Z6vs3vejexb8zGyy37CqlqTC4HdQw6HMh59hYA1dSaVr0GRJpCSoaJT67cDRr0orDdUQUNMo8Hro+Lnb6UQQKZmOYeu+r/Z2NGNoV/BGU0xVNVCQUNVdJCCCrOSpngTQhhoApS6RagNi9CEiOq7QqAFOeToIVqrm5ibqKQ7d5ivbvoBSWMWL3Yf4mh+GW4gcUOJ7UdZgy8lbhhRGaMsw6TeaiKmKTTGYzRYU2vSvRb7o5P7PdrcmhjrW+vpGC7QMVTAnpAuJwyNuoRBx7CNrio4RUXfmUBexqWrxVQVIQgzI0jHjmhZigJSEmoqQsqpaV2vwWbKkzxVpdrjbALX9uDsFXz+kXedVCnl8pZzWFq7jh2D1zAvqfGFF/+VhbXXYvcNc3DoESqNWloqPoCe6Sf+i58w1LqaV1taaF2xkEvnxHm6q0DOk/y2M88FjZFQQLucy+5zP8vaOoNEIWR/fYrRc+/gijlxKuyQvcMuOT/kzHqL1XUWTXGfHYMOL/QUWFJpsKjyxNPCpJSM+iEDhYA+O2DICQiL+gvVpsqimI6pCrxAkhkZYNfm+8ks+RiOWYUz51yCnEEgZrO4JomlxdEVjcDPsndkL4Gfo3XgFVp9h6BqIU7LRWAkUYXAUgU1poKpKajCxKmtJutJuu2A0XAJKxpuR1fjjHi1hFmPIIRAhihEXXJNESRUgW5EAKBQStxAsr1/Pz9P/5zdA78CTp945h+d3O/RmiotvvfeiJpbwsWdbis1HnRFEJRCRNtBZrKIMIycXBhCECAVlTCfwz50COZPTqafqU2HJ1myyZgJXnc3u1euek1DViZybXPLPo190U38bRBy33qNX15inlDFd25SJ+OFHMl63LHuNo6Mhpw760y+vfVjbO+9l7PqzqKvr47Khmaan3+Cwca3cyDj0RTXuGiWxQs9NoVAsqHH5sx6C5JwZNRn84DLuY0WSV1hz7DLg+05Lp0T5w0NFlsHbJ7vzrO23qIxpnHRLJVdQw77Rlx6Cz5r6iwS+rEmlBtIBhw/AuPaAU6xLhLTBNWmgi4EgQwZcgLasx5OEGJ7Lv7gUag9B4RAVjSjA0bokjQNFlY2UWsoWJrC6NYH2VBoJ6bXEWgWjtQwBvdT178Vbf3HQY9j+wHtOR83kEX4h2T/8EGkjADoFWYLihCYaiVhGKIrAlWCJII1FfyQrCcJi6WS0m1qao3E9LmnXTzzj05uhva75LyOFNzydkvNAHeGzRE/2wOHd6Dd99cEq74MFYshPwzSQkiQYQBSAymRqoocHaVw+CBcenqc3GQ2GcB3KmZCbsOG1zZkZbgd/ucyKAwAgjAzQMcnPoEIoi/JTQ2X876bPnVSFd9l1QZZN2DEreWC2Sa7huq5cN57eezQvzD7v/8JveFKOi64AjVwWXZ4J50rl9Od87F9lbX1Ftv7C+QCySt9BZZWmbQkVNpyAS/12lzYFCPRYLG13+Hxo3nObrA4rzHG5gGbV/psllUbtCR11tZbdOU8dg45PNedY05Cx1BgwA4ZcUPCYvRtqRH8wglCevNRfcsuQjXGxn9WtotkoQfLz1Cbb6fuwEEq851oQQG39U0Mn/Vhvr3jZ/ihwJMKcWseQjosWnIV2Ww3rw63U9DiKIe2oasJ4loF1WYtqtDKsCRFJMrdU0k01KYQUMT4yeI/WW6CKUKgKVHUqQmBoQpqTINzG68kv2j2pDjI12qvOyd3Kk7qZA2Av79+BcN5r1xzG7U9nt/fz8L6BLOrY1Nut+TQfvJKO0oR1FZwI+f28I4uPn3Dimmfn7fzAcgGaKPdhKoZKXr4WVTNwKiuQGhauSYXKhqKrqMuXDDt7b8WmwzgOxUzYTLZ85POQChxbQsD0d9CoWdLFYF9LApo0CuYNYW22Vj78Z576Mz1sbDmLWzu1/G8NkZ9lfP9S1i94Qmk+B4ymaRzzbm0+TnWN8XY2m/TnY8im4VVJm0Zh1wA6RGHOQmdeQmV9lGfDT0FLpkd45xGi80DNhv7bFordd5QH2PPsMPuIZeMG7KoUseXUGko7Bt2OZjx0ARUmgpIgRNE8AwnkEUnE90zqgBTU6hQFSoNhTpTpc5SqXzhISo2/SeBojOUWMhgchEH6i+kYFThVa6GjIcbKGiKRcKwAJW4VsN+t5KcaqBV1FOtaMX9CBAKI45DTFfLzrTCqEMikYQ4gU0QerhhjhqjAk2JhippSpTqGkrk1CoMlQpdIVn8qdCrsNQmhFg66Tzh12qvKyd3Iie1urmS1qaKEwKFT9QAMDSFN/37hnH729+X47b/fYkKS2P7Z68Zt2yshlsJyuKHlGP30tLp4OXGOoHMh96J2hJH3PQNAmU1wgtQ80fQjYCqmko6dCMi7SsqUlXRqqqwFp++Qb7TscmYCX5/f3m5sCxkETw8rRF6Ja5tcQhjvt9keF8kK6XoktBT+PXBB/nuPU+dkPcKx+AqVeYjLGu4lVGnA7vQy02j6xhc0knrlRez6tGHCULovvhqNvfZXDArzo7BaEbEkCNpjOn0FnzsUNKZ86g2VZoTGkdzPk93FriiOc45DTG2Djjsy0TdxvkVOkMOvNRb4IXuPKYWDVnzZIQzy4eSYTdELzoMQxXENYWELqg2VBpiGrWmQqWhktQVBJD3JYNOQNfZH2fbqo+S9ULcIOpqBqHEKf3OurTWXYkkal74gQ8Isr6Pgk5cTaAgI+UUBAU/HwHKpUOlYWEqCoYq0NUoKtvUs5PefBdN8QbW1V9IQjvmyOJa5OQEklFPMuKFPNq2iYzrMzu5kOXVgoy955S5uGPtdeXkTuSkJKI8RavEEPinR/bw5Yf3lJ3diRoAtuuz7O8fnXSZoSqTsi1KFoz5P8D5i2o52JejJ+tw4ZL6E0aaE52AV7kI/ZzroDlBuHso4qAqGhBiuCU9TMIAACAASURBVBnQiw5NVZCqitDU09p4mI6dqAMLlB0cTLMxUeLaEmkIdGyoAKBuxSiZ9jihB9nQIe+Lk9Z7xsJVDg09RqruBs7a5VHXdYTOa9/KynfdjPLwwyz/ybfYv3IlbY0NKD15Lpodp9JQ2TPsMOqFVBgq0g0IJIy4Ed+z0VLptQOe6MhzUZNFjaWwf9inO+ezpd+JpqlJIq02V6L7OXQvh+lnqfBzhFYNoqqZWRVx1tRZ1FkqZvEhKKUk70sGbJ/dQw5dOY8RLyTvS7wwjNgvYdSMmvzzjhyjiiQgxJc+uB41fgHDyxALHaz5ZyHwefTQs0ghWdd4Jn7gk7HzzKtowVQ0MnY/B4dewAnypGouoNpQyPmS9lGPgh/V73wpyxRDgO5CgoI3Snd+Nz/d/Us6ss+fmIs7Q3tdObkTOamejM2n799BbcLgxxsjtlopFJ8OK8IyNA7/43VTLt/UNlRmW2gTGmZvPmM2H7xkMbOqLM76whNsOzoybQmoiU7AVzRKwV+IhMBF9QsIrQI92VDyBah1dcy7+246egonVgY+kU2T+D3RJnZgnX378Nojeps2Zw5hJkM4OorX18voY5EDLM1lHfrhD1FrasanrGO4tr1f/jJ+4XtRGvyVz5J5eyRcfV3dWq689v9MyXst2US4yrbdbewUNtUHHmd49Vqef/oVWmwH1XNZ8fPvsPu9n+Aw81FEnotmJ6gyIuzcoBMQ0xRGvZCYKrADSVfBJwygzw+4/3AWHBshVKSuRZG1BFMVNBgK/tAR9Ew7KzoepLX/GRJ2HwQeB+dew57L/4PN/dBoKeQ86Cp4DDlB0YEcK+SPU50Z8zuqoUU/fugQSpdK3SKuCdy+zWy0j+KGNqvsHCttl7xZzRPJWry2x6MSh2IiREhzcg7PdjzPqJunfXQQTTFRhM7cqkuj1Necz85BB1UIVAUMRVBjqiR0haQepavVusLugQLf3PZ1DgzvO30sjzH2unJyJ7ISULgnY3P/5g5sP0RXFYLTMCIQIvjI5csaeWJ3b3lkYMke2NrFr7Z1cc6C2hlJQE3WnQxUFasYiga+hygMooYOqDp6Qyv0FKOk4hNdiFMAA8+A+D3WxnZgI/DwTeVlWn09bnF61ehvfgtA7Xvfy+B3vlNeZ6qGxLg0uHU+A3e9k8CJrpveHdDw5C5Wv/1PZlTvmd+5n7beTjrPu5R5P7mb9ouv5eA5l7P4wXvhlY0sSH8Q7b7HOZT1EOS5YFaMMxssXuzOczQXUPAnh+hE6jAKdbs3U1VbibdiDTFVoIgIt9fSvZ22QpY9az/O0dhdWIUeBnsOMhyfT2HIxlGm/txKjqw4wgNVRN12Q41qYpW6QoWhYCqCH++9nyE7Q0yrIabVoiomydgCdHTqNJv2RCRIKE0NHaJSh2ZgqAb9NiysWktnrp2cm8UN8oRhjoZYgsvmncOCikpiukpcE8Q0JRqBOcmDcdaC9Vx2zZdOaabvieyPTm6CNVVa1CUjrJqmKseAZ6dhu9/80zew6jOPHoePgyh0T5jatPFwU3UnAyWaV8BQG2FmCFBRQh8CF/23n4dlnwBFQaKWO2OvebzESYjfnH/y0XdjU1eIAMNl86NIL8xkItjLDLaVfeo5suhl7m4ERN7Oq+fXz6jeE1u6lFW/fpjtTSsZuOXPWNyeZv+cFo5eeCULD+4geeVVzE2odOY8NvUV2NRXQIjothmjbgWAQQRR9PN5hF0gsGJk5y5k8PCzZJoCmhIr0BWdQPrsrroWUQWuhLAAkhZoaI42VMTOlSQBSw5NUyJnpguIaVG0VKlrqEpU13PCiAWR8SWDjk8gobX2jQzagzh+nlAGKEKQ8PI0u1lMBEplM+pIG2dm84TSoxBkeFYbJecPMid2ETe3vomYNoeYJjAVcUJcH/CaH4ynYn90cr9H01SFPV9442nRjpuqOxmoKpo9hLz7SuQF9yFkiCoDQKD6+cibhmEkhyRLnNYosjjpDTrRTkCnms5Ed5gCPPzc8+Uuq9rQwPBPfzruPfa+fVNv64JzkAefAd8FTWewW8NwJb1Vgu2LVb79zF/PqN5jzJvHwn/5KjW2z7PdeTrkleRe3EjXGeewOxZHxhP47fmyQCmAJqHOUqjSFSSCQTdiH3gh6EEAQUAQixMKBbumHqpvQIQ5Bu0ChjYV0yEEGaIGNrphomoGmqKgFXXYkJKErhDXFLwwovcNOJI+240+cqL0VJceWrYTI9eHGhSokgEtVgXqrJWoZgXG4d8Q73yZuDdMzM8QcwaJF3qIu4PEgjyKX2Dj0nVs8waYmygwZ8E6eGIGJYsJD0bZuQ3vwb+ioFVT2PoI1Wf9CZZ2+gZLwx+d3HE2UvDKnNZRJ/ribW6fAV7r92AnmqNpDwzg3PNlQnsIKRQEAaJxORhNqGtuOcba9/JIWVHeZgjMnEg0waYYXXgimww8vHf9xQR9kfJ96fdYK7z88uTbqlKZu+RpmNUbSbS/47uMvPfvoGuALa0q375aoWqMCslU9Z4wjDifbaMenTmPgSJFygmKRfslRUiPoqBJip1OgakKskVnFoQR3URIsISCLSQ+ElcCplXk2hUTS8UgphpIGVJ0R9Hmi8ejEGIVeggUAyEUklYVMS3ij/ohiCDEljDghAw5IZYWpaWWCgIFU42OTVcUlLaNWB0vEPNGiPsZYs4A8UIfMeETe//DGK8+CHvvLV+LH1Uk6dJUrnPyJIC9FdVsDzLHKcBMFZn5ZlVRAVgy6gXkVn2S3LKPk/clhUyIbV1BcP7dBFISqk2cm3FZVXtqA98n2h+d3ATb3ztaroOVzPbCU9aiO512woHWmVFGd7kEy+LRDAPpo/Rsg8rlCGcv1KSiFWVIKI8VpEMZpTyv+TxPMLpwpqY3NhL09ZXrjMKyoiip2HU1xsyEGGeTyLYn/SQFNG6rnscdf/7QuNWllGTdgPacR1vWZ8D2yXgRij84hmEtF+m1iA2HNHSSmoigrVLSEI9AsV4AliJwg5ARF7KeH01NC6OGgAyjiBpFRZbUmseaAIFHQrMIpERTFCqES36okxAFyx/Erl5M1guxA4mpClQR1buq1IhNkPUChIQ6U2VuUi9HdzE1gm+Y+15GHPrf40sMEth2bxSJAQgNpM8vKxLsMk1+WFWJIiUoJog4tVYd1y58B0eyD5Cd/zZy695DPjmPwugwhc7t2Holzq4+/EngodG1FJgqxN0hYsM7iHnDxOuuYvZplj6HPzq5cdabsQGJqSo4wbEaUBiGp6xFdzptKn5o4LiQsKisy5QFM0XoowQOIBFunuLXFlS9TLKmLLckXtt5nmR04Uxt4c/uG9eQSK5fT+7llwmLTk6JxSef+j5Gtl0GLq6WoOZ6lZheSW7Nm+jsL9Cd9+mzA7JegO0XnU/R2QhxrEgfUwRqEaGvKAIpow6hkJJcIHEC0JSIdH4k66EWucJBGG0vIPrbC0rsg2Lbs9jaFAgIfVTHIZABoaGBZkVqxLqCJyWjjs+wPYIZ+kg9QaFiDnFNQ1cEPlBjKCytNqnQVWJahJvTFdg74nJ01GfUkyyq1MaT/ceUGKSUBLVLcJ/6Cm4hi5sr4FYsw51zFa5WgYPCW5NzmJOsJ2/UoGtVWFqSKrOWpsQcnu3WkQ03Q8PN0Wl5oMYqMM124oVe6myL2JxmEkU8X4WmkjQih6srIIYOwf9cGt03jcvg5k+d0n0zlf3RyRVtLFB44iN2f+8oILl0aQNrW2pekxYdTM220BTBf/x2/7Sjp6n4oW5PL/q8hTS+624CS0PuGUIoAmV+CjIFxMHvQBPRF00zo+5q8f2l5sOMNfemObpwpjYxWh1rhW3bGN23H/Wtt5SpTLYfYp//JQpnf4G8Hw1IGfVCckVslhdKgqO5cqVeEKWZSSWCbWhC4ElJoej43CAsUpAEipQoRAKQgYyclxsUPVnx2omwJIZQ9GMcq9GpAhKejbZnJ8ZQP15FDUNLVxKYMQLDQAkCFCnwCACd7kLAXCtgdvuDDJkNVLj9rGldxUDMp8cJqU3EqU+YHMh4DDgB8ysMkrpSlr5fWGFgqQp7hhweP5qjKaZSZ6q4RafrhhEh3glDvEwf/qKPECgmfv06ArMKP2wllBIpNBRCzgwcFOmhGvVos5YTV6PosOy8ikDfmKZgdryMeOHdxQE934TZx88EYfgIPPZp2PVLyh9Ick70+u+gw/pHJ1e0yYDCJct7Ibd96yXWtVTzsStaT6hFN1W6956LFk7JtljSmGB3V/aUokStro5wcARhmlGKNAb7prg5GD5KUOxgRk9LQTiG41hycjPS3JtkdGHu1e0c+dj1r41gTxRdeCG4i5fi3fQ2HE3HNWO4ZozRzh5c0yJomo3a3Ex7d3R9nSByTiWyeIQVOyYhFTm0YudRiWAaXgBOKMn6kpEipkcRlJUy1OJk+KB4PKXtjU1fS8BxjcjxaaVIsIjq94tk9ECCq5vIuQvwmlsASOazjEpJYMYgKBAWhhhJeNRajQhRRf9onhW9z7NudB+bF97Gnl0vsbzrUZT4XPa33s6RptVUGwrtWZ9DGZdaU0VTomPOOlk2924m6+aI6bOJ6TXoimBespYKI16UyJeEbgHRsR1FMVF1C6OiEevoc8R7NpLwhjCdQSwvg+VmsLxhrPrFaEu/hkjWg2aO6xxLIBxqo3DfB0BJIOtbYfGbwBv/kJQAT/0bHHgOaTUUPyAdOnfC3bdgfeBx9ETtjO6Zk9nrzsllvYCe/MQJ9tHH9cAnLyMIJB/78ZaIGD+m2SiAxoZK0sMOs5uqMJIxpGmwZ2g81/JA3ygbu3JIy2RJSwwvCBkKBelhh2ULGnCLafDYRuaCxiSpBQ3MrYnzzL4+8m6AtEy2DxxD/k8s34z9u+AGPPSuz3F0xKZCifPDX+zkosV1BPEYBAED3duwY/M4NPsyZLFe5YWStqzHsBPgScmW/kK5q1Xa9oKWemoaPGTc4pXeAk5bG0P33BN18i5aT6KqE5qug1kqUlGRzz3EwA6L8Nq3AdBR00JFT768PSkj5Qm/WL/yQonvjOL37cXLjeAj8LUEoVUFVXPh9r8svRFFCOzduwn8ANnYSFhThzfkEMpjKP6JgFdRjKpCoBBAwZfICVdSEeOj2SjNl+XtlNcjcmByzLowft9u0dEFgcQJSw6zuB4KRkMD9ZZGKXvsePYp8gtX48eS+FaMJB6B1BAC8mqCR9d+AdMdwQxyOHol6dlXY7nDoFfj5H06czJSmwGGnBBDEWhCkvU8hDKHKkuUr7skTvtogfqYTkJT0UMHteMVND8fgXXnn4umKQhVp2DWUjBrITkxkxCw4QGoXQwLJkjWO1nY8wQsej9oMVhxA/Qcz0PGy4FYAsvuiKK9+RdA4MPRqJm0dvujzDrv1FkOY+315+TckP0j0WQsNwjZfGSIvqxD1vaRSNbOq+YT168C4P7NR8m5ASvnVHJmS4Tfact61NUmsRI+GDpHRr1xDsvXNM5e2kRd0mBXZwbbC0CPUpC/uu4Y0X4yuIYAdvXlyNo+aCr9dnDsiybGf+nGvqdrxGZPXw7T0NB1FcvQsEPQQol0hgmkSqho2HMvKKZYEilFlH4RfWHtQIIYr16hqQq6poIQuI7L4IMPIYtTmXzHIdRiICLhTQKfkY4Ejp4kSJgEhomTrCaX9/ElZSXYsZg8ATDUjTY6jB7YxKWDZncjsxAM7cJZ8kZsGbEG3ADcWS1IRQFVKeImStdEooQBQgYI6aNIiRAKQreK2nlF51Q8Oen7hLk8UgikZYGul51dKUorKTOHpR/K2WmxTgeGiF4PJcS1aHCQkNAY1zBVgULkBAecYxCSASeg4PXhBja18UqqDu1lcOlyhG6iSA0pfSzVwgsUAqHgx+pI6A3UmSojbgDUU20ohAhGSw0IEQGLfSmxNJUa00CROVoqZlFjJhl0evjezv+gKbGKWms9s7QKFjz7d5i5TjArENf9M1QU8Wm1lwCXIJ79Zzjw5LHPaiwrJvFmRO0Y3m/PTnjsbxF+VPtFj4F/EHHeX4wrXQiA334NDj8ROThFRbT/PFroR2Odq+PjOd6nw153Tm52XCt3cDa1DXHnIzvKaaLjh6xMLObac5sZKXh8YtNh8m7Ahk3Rl6RUJ/vcDzvoGLZZXbGYq+fNO24fNy6qAo5pxp1RpXPl3OPXm8zu2ttFx7DNygqVx14anladriep8uRGjxUNFewczrNlTxerakxUUxK3+2ge3oxrVDDv8IN0LH4/vqKjhwXmJ5vozvsUAsm6+hi11vii718f6qVj2Oa8xhgt376b2MOP4iUqcJOVmEvmE1tzK/aKGygEIaNdvQx3/waqQBgG0nVRZEiloUZwBncYK30/sSMbMLPtWPgEc88hX7mAgZ5DdK1+D316ExkvwHU9AtVA5gLk2GjaNFGJHIxWFG+MaYJE/04qOl8kVDRGY03kjHoKRjWuF0cmmpBCUI5RJYTZDJrvQxiiE6DEaggCGYF4Kc/5Ke9bEQJLAVWJAK+mGilqaEKgCRh2A7wQmuIqg3ZA1gupMXUsTcFQBPMqdDpGfYbcAFXA3oHtbOr6MaqioCVMtC6LlY3vospcgBAaYSjRVQFFlZFeO09bdpCM046hJojrBpfMmcf5s2aRcSKoi6lAY0ynM++T1Ku4bsEFxIuR+ZBt8o8vPkNn9hkubaxD2dXJkYrlLM930Hz5RxBxIOiJmka6FdVZd347KkPEa+H9v4GaBZPfsJlO+PG14BVnz6tG9HTofQH2fB/u3DYB4DsMQ1sn3RRCg7l/e8Lvx2ux152TGxtBzauNT1pk783YbDw8dNy8hd7MJOH378iGch6/3NoxrTpdqY7WkfNIP3kQPwjLGCxFBiiBB0g8dIQMACOKYsrnJsl5IZJSEV9iByELWuqZNUdihg7PxpvhlveUHZjZtIDqQoClCuKEeN/7FnM6jtJwzVW4Tz6OPLCPqptvofrai8h6AUO7HqNzaIT+5psZjs+jYNTgqRahoiEbisIDHoCO0DSUMEAPXWJWnEpTpdZUaLAipQ1VCEa9gF47pLcQMGA00j7vRkIzSYiKIAQ3H527n0fo8TIzIMjnoqhONwiFIDBMCIr1uyI4WgEMTaA7NuzdgzkyRFXLXBrWrcZSFXQ1cnZ60eFJCTuHbDRFcG5jjK39BeK6QqrKwC7WC9UKsIdDhp2AhsQZnD+vmaHCAQLpoyoqg4U0mmJRZc6JonYhSRoKI26eIPQJpEsQ2vTaB1AVix9nd/KZc29mVV0tLRU6W/ptugo+s+JRBvB8d55vbfkEHdld45RXbtj3ANre37K95RZ2zL2R3ud/wcrOX2O6I7DmVrjs746rsyLUyPGVnOBYe+JzEcMFIgcnxrRcnNHjmS8TZ/oOHjzWYW1oPSXo0VT2unNyY22yInsQSs778pOYmlouLpdSrF9v7+TPL5j/OxHMLFlp+Mxv9vSUC93T5SGUlE38EvxFjyFmrSRYso4g4zE0dzky44EEjySHMm4Z5PpKX4FY8clf8HyQoCoKvp1nyUO/INnfRfUVVxA+/RuC9jaqbryRqqsvwAkk3T+5Hy9foLB6HbkrbqCzej62GSOoayRID0V1q+o3IqsARSnSkSRKEKAGHjo+yXiCektjjt1Oy6MfpMLtofCmr9PXfCmDTsBQUV1jpCgXFIRj1DS0WoQ2Bl8rFVAUQqlETq+I3JBBQOgHoER1LzUMUEMfq9gdrDVUGmMaTXGVuO/ScevtiM5OFN+j9vbbmfWm88rXOXJeIYUgeiBUmSr7h136CwGqAkcHHNqyHtXFApyuQFNMQwKHMgMUvBF8aXNg8NfkvT5sP0uFUc1Hz7qPnkLU+AhCSULVkYTEtBYWVbUgyPBS53OoisHDR45ya2sVVYbK+UW5p+58QJWh4IaSpHUeSdcn7285pryiJ4g7A5yz779pa7iAvbOvZsOi97Hy6APM0hOTYg2jG9OPnOCN3xh/0xkJyk4tcCfezSdmvpxm6NFU9rp2cpOZEFGXteAd32XtyTi86d+enbZCyGux0rStEdvH1KIUWlOLedQEC2QUdTmBpBCEtI96xOMGyxY2QNzCCyHrSdpHfQq+pK8wfsaqUgSSqkKyqFJnVlwjCCU3fP1lkjEdTVO5ouNVFCHoaD2DB5rP4dz1FnYIcslSgrYsjuNiLz6bYNmFSMOAQQc5v5VSdU/4AYqioisqhgIJQ6XeVJkVV6n/9fvQs13kz7id/ubbGMyMsLejjc1nfhXbrCEIagnasmWZ7LEOv9RYUMXYRoOI/g5cVLsfVXooFbPBiCPDEP/wYdTsCMnGeuJbN5Hc/CIt61az5JN3lCN8KSOIRdtXv86oauIuX4ubrKR3/koOdOex/XBiwxAhIpXexphKvxPQZGk0iRwDnXtp3ftt5nc8iqYZ0PwG7HgTrr6ULfFGNGEwO3keXZlHuXTutXz0zI/SFK/nobYsR/MRkNgLNap0DTeQZD2oM6sJpYuKiR2YvNST55zGONWmyto6izbTi0YlKvDWJdcw4l6B63fwn69+IlJeWbaCD755BAEsAOq9kG0DNlvcv2R2QmPFi3+PXsQaHue09EngIBMjM4iYL9+7MYrqpmK+TFByJt8P3zh3Wio2M7U/qJNLpVI68F1gPlFd993pdPrghHW6gPSYl65Ip9PHe6DTZIoQx5HkS7U1VTBthZCZWglDV3oorm6uojtr44aC6qRBDQJpGbzaV6AQRI7NnTD3cNgNMHQNQ1eLHUmIqYKmmIodhFQaCjk/ICi2AwWRo3QCycGsR1c+IJSStctmo2oqlSKgtmEVh8yzyCWqaIrFaK8+h1AoCFWFnFMs3sdQAh/h2IgwRHUKaIUcem4Ua3iQWdddgxAKYRjpm/U7Ae2ZHN7KzxEoOqEeR3blo7Sx+ozIkalGWRZKCNBL8IxiQV8VAgo53CNHUXyPWH0d1ry5CD+PfvQpAimQViVa5XJiuor5zJMo999HlQhY8t1vs/d7X6eQHWW4spYdg04UkflRId/t6yOrVMPlb0YYBkpulErDIqkKqg2NmKYU64EKsSJlquQkdw7atI/6rN73Q8zebg5Uv4H6oW1U5Tvg4G+xgJusRma3foCCVomQlVSLSzj7rI+VoRNvbKngwbYsPXZAXBNF8cs+FAxGPY2EMZchewdzk1fTVwh4vifP+U1xakyVBRUGVYbK1n4bTalkYaXKsFvLxfM/wm8Of+M45ZWkrnBeU4yDGY8DGZfBtZ9h9eVfoj72Gu/p6TBfJlFyRtWj5sPvgKz/h47kbgOG0+n07alU6k3Al4EyjD2VSgmgM51OX/oHOr5x9oGLp0eonwj6fWxXNw9t76JjuIAfSj71xmW888KFRSBryKgb8qEfbSZpGSxc2MASVSFu6tQUlTd0RcELQ9B18r7E0gTVRakcXS2JUgsOZh2ezztkc04kjwO4IfTZAU4AQ86x7mYoI6cYhNF4uCHbZxBwA1i7pDEaHed5ZJ3o6S2kjLqoEkTgIXwPpMSsrATPRgkCdNdB9T3CbIZQUfFr6hhpWczwsIuUES5PAkKGCM9GAfTQRShxGO2J9O8UBVBRHBc9dBCahVrRAGqEyzJKtTACgocfQx0aJNQNvHgCb4tBrMbHqioQDwtYq/4Ugxz+Kw/Qta0fd8059DfEOPzL+7HPvgzpemhaBcktO6lZtZxKQ6Uh9Bn8xlepb2+j6aY34zz0U8L9+6J09e1vPOlnv7zGZNQL2Vl5FmfuuYsdq29j85qbOT//CuYv3g0yJNF6GWdd+BZe7h7FP/wcI2YjG3du5eyzLo3OTVN40/wkDx0Zpa8QpZ99eYGPiyYVGhIr0RWN+UmFPlulq+DzdGeO9bPj1FkaDx+8l85cH8vrb6QjZ5Fz+xhxfVY3/TmLa8zjjlkRgiVVBg0xlW3FeRPzkhqp6ghzOW2bbvo5Qcm5vE5YrCXPQMVmOvaHdnJXAN8r/v9R4FsTlic4Dbzx36e5fsDFX32KqriBZuk0x02krhE3NVY3VmEYGsOawdOd+fJ7QilpbqgkZ3vYjo/jBXQ52SIAVUazWH3JitoYFYaC7YcMFOEDJadV8HwGnZBYzKC+JoFXhDPIYkU9lBLHj1RZI4ZRSCZXIBQKUtFwAyWaLzEW4qGoKPy/5L13eFx3ne//OnWqRhp1q1jucrflmoqT2GkQEkIJSwhLWSBh4bd3YbmUXdhN2IUAy7JcSugsCxsgwIVkQ0JIL07iFnfLkYtkWb2NpGln5tTfH98ZaSTLtmzLZO+Tz/PosTWjOXN0NPOZT3kXEySRSGXXAyONYmZRHRst6McXLMP2l2G6glVgeB5OIonreSiqihIMoMsyPlksUFQng9e9BweZjFZCJtKAl47hygqyJ2Z0smeguVk0O4UvlaB44EVK17yDomCIrOuRtFx6tu0lEa3ErajFk2XUrIFkWdikQdUwFr8VgzBy+4tIQzFkx6aosxX91QR6YhQtFUdPJNBSCWQ8ljQfAqD33nvhxafRamuZ88H3cfyh33EusOy8WfVL9gYONTzO8lIfuwcy7C26jvWRWuTRDgiXE6lewNqow86O7UjZJHHLZWe/wfrKAJos4VcVbpwd5tH2JENZh3mRYkYsCctxMGybksBinurq5O3zFxHWZY4OJXl892Gu2X8PD8nHafbpaPyE2uLLqS7aQNZO41P8zI3eTEfSoj586gy5WFe4rDrI0RGTEwkhTLCizE/UN4234LkwXwqUnIGJbbEWEli6aarYTCde6yRXDQwAtLS0OI2NjW5jY6Pe0tKS/63DQGVjY+NvgRrgVy0tLd88zbHOK87F2MaDsZYmX4WJTeT4/w3b5dLVDTgF+meO65E1bSzLYThuQDbMnCItRwMSmLVPXjOfrOsxmrHZenyIgaRJPCPeXrIkqiB0jZGsgy8HnfArwtQkaXs8crCH8pIQmqbQUFMCmobroHvqWgAAIABJREFUeSQsD8MpGNJ747wmT5LBc5Bc0O0UaqhU0JgkIYYtISP5ImiyWDvarkeqM4Wj+3DDZZihMMmsKyR8cpAOv6rAoaNIXR0Ely5Fr16K5XokLJeUaWKlRnDCC4XCrC+Emk0IeW1zhKJML2GjhyJzCH92BKd8Ecm0wUiojiN9/WSC1eL0MwZu1kHzPAKxAYJ9XejJOHoqTmnJIDV3fZxAiYNfHsaXeQmr7Sf0D6zH04tAjoOxj1S/jmdLE7xgz6TuYhw4MDVfdorwKTJN5X529Bu0xS2WR3X2n+zgcPEGlqWHxuZU0b6dNB3/Gbvn3I4eLidhOhMSXUBVeOPsMH84mWQk62NBsUpX0ibrxHEByy1lW1+aK6qDRA/+Nzvk+fxx0Sd5z4n7+Hn2IMc1hZMjz2M7MTbU/iUrK9ZQpAU4FMuSMF0WR3XkSXhNRZJYHPVRGVA5EMuwvaOfua3/l4UHvoOc7J1aSmkK5ssZN7JTzfFgfJZ3Dio204k/W5JrbGz8IPDBSTdP/k3E4m080sDngf8CNOD5xsbGF1taWl6ZiXOabGyjawpPHBng2dYYS2uL+dCmBSQth7kNFdTNBjMY4OG2UXyqgp7TGJclctI2MsU+iVK/zCeumjs2IPc8sY3Luh4/3NqG6QI+jROJ8frAw0PNSUQPJk32nxwWFZrnoaoyQZ+Kz6diyzLNQ5kx8nfuRwCP+upojkg+Xql5noTnevg1yDhipuW4Lq4kgyShKBoSEo5tITsmcjaB5I+MsRLy55Z2QMITjku4yMPDRDApr4niUyUUWcL2JDKWg+FAet16jFVrGXU9rLglLPI8DymbRHMdiswhispqCPkd/LH9KP0HcWSdjFZMPFhPf/FSsloEO1SNkhlGM0eJZAeZPWs2pYqD8b/+HuVkK2ULAqR3nMy9cjzwJKKLMlT/Jqc0nNsI6l/qoK7wD//1JRz7hY2VVCd4wZ5J3UWIbh6cVpIDYe68NOrjYCxLUXaAudv+mbboWoo0idmLbxqbXVVk4qwc3ca+6HsIqPIpie73xx6gKxWjLHQrnUkNn9RPyjLwqVFkOURnSujcXa7J3HDgizx5+ffprfg2n3WPs+rhWwUNe8smMutuYO9QhuGMgypLtCdNEpbD6nL/mE9EYZT6FS6vDvLqM7+iLeUxUHsbK7seIpLqhJZHxOxMkkTS8xVBsn/6G9mpYgZVbCbHny3JtbS0/Aj4UeFtjY2NP0VUc/tySwippaXFKnhMHPhx7ttsY2Pjk8BK4LyTXMpyGcjYZByPtOmwZkktsiLj05UJzIWy4gDf3noCx3HJmKKFfOX4ADuO9jG7NMiH3zBfJINcAhs1cwN9hLeC641bDaq5rZ+qyBi2KKsUWaibCIFDF9MVDIS0C6sWVaOrMobljqV9z/MwgY4RA1WC+RUhtNxxkWB2SGUo6yDLEhFNod+wSdkemjr+yeF6woYwHw7goYMEjqKj4CJJEpqUt42DsKZQ6pPwKaJlcSoWkHUEAX7EcslkyLWqgpWQ9wT1vPFFQViR8ceOEoo143MMMaQfPYDnQRZwai/DrFmH4wrAbUSWKPMrVCaPUv7QR4hk+pFu/S7UhOi9916G925HLfGT3d9LfpohKR6eLYFngzU+CjhlI5jTvFMDEawkE7xgT6fu4hnGhIpvulEX1hgd7uPE3j+xMn6c8mANhy/7EuHBLkp/Oj67mnXrV7CkAM3DWYq0iYku7x4W1n7HxvpP4VeiHI/9ibnRaygON2K60JWyeWHW27i86Q7eElB57GSSneZSRpd9hssOfJmOWDNfePIDHIkdIxpYRV3xJZQFSllV0YThFNNU7qdYP7UlVWWJ5XRT1fkkB6/8Oi+v+TALDn2Pefu+Jeazkir047Lx3Atqio1sx0742qIzC2peZCjJa92uPg68AzGPezPwTOGdjY2NK4BPAu9DvJqvAH57IU8YNx1eHTZFBaZIfOK6haiyhIKAIOTLSMvx+LcnjiArMuGQn2JZQs59RSN+jo6ayHnIQsHx849XJIGIlxAMJMNxCQV96H4PdJX2hImdw3p53jgkQpUkaiI+NM/lqROD2LaL4whDYVVV0FSZ2miQsKYIZQ3Pw3Y80p6woPPwSKdNDNvBUzUsx8NRlAkQjPw5ajIorolnxalIHGV2VQ2hqhoUwJXAdkS722/YpG0Lw84rcYivPI4vrzCsIJJjUBUeAsVemlDHcwR6d+NPdGAP2vQcq8IsKkFeGEaqDYnlAxY1RTrB1qOk//fHCQz0UPGB26lwfjAuw7P4pgntpKSp2CPKGFLbk3TAFm3S9V+eemhdUC3MeVcZ3PXihDfT6dRdrPb2CRXftGOkgyUPXEui+s0cnPsu1l3yJtJpl70vPchlloW/YHY1GwEfOjpqEvUpjGRFovvYwnfz7ZF7OW7283L7vVxZ/xlWld7I5eUB+iSd/oyAB3WlbJ7rEa3rLXOKeKKljSNll5Foupd0UYxX2n6GJmv0pbZj2P1kizczkolzbcO1bO/zWFHqY1ZoCqzn5s9TsfnzXO54HB7OcrR6C/1pi5Unf01oyfUwf8u4Ht2WeyZe9z98Anb9+MxS5xdJxaYwXusk9wBwbWNj41bEh/r7ABobGz8DPNfS0vJyY2PjELAdkQ8ebmlpmVoWdpohAWFNIut4xHPAUsFN9HBdcHIbRFmSeNulc/E80ZIquYSW/1eWhM6YJonqAwSQ18ypYmRyihimO17VBQI6So5VEVRlwjk/yqAmTEZURDX3pcdaiAR9yLJMUUjDr6vIskTYrzG7LIjjevSkzBwUZHxrabuCIO6OjiL5A3iKimabhPxBEnaOzO2JbaoMRFUbX+d2UnopIc9gKLKA1qEMRg6eYnsTuabi+kk5nqeo9AKKRKlfpdwvvD9LdJmgphBQJOw/3svwkeeJFS1ksGgxXclavCUSsm1RWVRGw+ZbKPUpFOsynmFw7BMfIZhzHnNe+hmsmvjJXthOWgNJcUJ54J8lqi9jSGH4j88TnZzkzrNaUMvKsNrbJ1R804rcnEpO9tPU9TteuukRDoxYrHz8DnbNuoXd89/HxvWbUQpmV/MiPoHRS1hUBFSGMg7hHpOft7WhezYog8R7PsUfVn2JNquUSxdV06LqdCYtUrZHX9rh2e4UV4aTXPfwtbzY8F6O196AVjmbuyILuHTWHGaFqjk6cpRPP/9PLCi9ib5UP3WRevYOZYhbLouK9Sl51boisarcT2U8QnN3BS8u/jiLFqygYdkmpNNJ3p/NA2TZLec2yzvPkM7bju5/QDQ2Ns4B2p566inq6urO9uMANMeEc7kyOXHlTEACufla3uVblyVUOadQ4ULWcTEcl5TlkbZdUrZIZIXkc2EqIvBTeVPdYl3hn363h97RLLeuqeMta+oZNR2GTeHoZOWWGbbr8WpvQlSNOXiILMnIMmiKQtgvZJLyskCKlJe2hlHTxdfXjb95P0ONK8mWlFJsJKifU8PxuIkmiyRq5Ej6im0AEq6sIcuK2K4iPghUXPTsMLoxiGqJDaSuB9BLZ1MyuJfq9seoGHyFqDWE3HAZXP9FssUNDGddYhmHWNYheWInDBxGmb0RZVcz8hNPEO45SXCgj9JrllP9nXGZ7Z5/unvMeQwgujBF9ZXqBN6k2dFB/1f/Fau3l8zBgzDla9cDSWbJ4ebxm0Y64IfXTI+LWRjnabkIwO/uhAO/Fp63sspIoI4dc+4gmmxl9tAO9sx7D7NGDrCy80GkgtmV53kciGXpTtnUBBV6j24nfPJZ1i1ejl67Cnr2M/z4P/Poyi9hli7k8vmzaY2btMYtEpZwmihJneSKw1+ncfQVXrntWY5m/PgUiXkRnRWlflLWCNf+9lokFD665t+oCq3CdD0UWaI6oLKq3C+ctSZHjoKVsV0OLb2LgbV/Q2mmmxUP3kzATgj9uKW3nPm6fH2JSIiXfhRSQxOu0VicyywvF52dnWzevBlgbktLy4nC+17rSu7PHrOLdAKqPJbANFlCl8ltqyBlOcQtl1HTJZZ2SFrOmJCi5YoWLd9WqjL4FZmoT6i5FusKJX5RocmSRNp2Gco4dMZNWpJZ5jVU0QDYIT9PdSaRJQlJGqco5Wbn1JeLOdJg0sRxXUK6TElAQ8spqoolhURAEecvSSJBW6lR/Lu3ExrsZWjxKjwg7Q9zJG6SzW8rgDGiuqSheBaqrFDkU6gPqYQ0YY5iHnmSTKwDJBndMShLHKV8tIXy9Al82WGQNbJ6hP5AA7GkTOyp+0mu+wgoPhQZSnSFmmWXUuq7AvXQPjq+9i8AyHqOJmcmx/4mE6wVdQ/XlESVdcNX4Im74cQLYMTQ9TB1l12Jufxv6f/Br/Ace2xmlr94WkQmdOM7xv/g57r5K4wLcZYqUCnGMSmxjrCk8yEO1d9KxOhmYdefODprC5GSk8wd2Do2O5QkieWlPmzXozvtMLvxEjrr1rFLk1kXDaCXLyT6xOe4cc+neXTTz3mxN80bilL4B3fyqtpA3F/FiH8Wzyz9DFaZx7q6StTBDK0JiwdatvLdTCvNA78n62SJ6BHeumAlCcvPoViWtO3SnbJJ22nWVAQIawULiYJK2B+qYM3mD9CVGubwnifYOv/DLEkfpLbxTWemIE72AGl9bsI1mhBTsSvOM153SS5PARoybEZNl7jlkrJcUY3lFgn5obkqC7WJUL4a02SKfQoRTSakywRkKQe2tYllHfozDkdzfFDT9XBySrInBpNIkkQgqON5QoQzPWLg0xTKwz5kOack64l2U861wCfTWQzTIVzsp6osCIiFhTom6ujlKktImzYxw0LaeBWSP4CpCDKn7bkouf2FIglQr+XYSHiUJY5TUlZDWvFRrDooKKRtkcRLVJn6wa2Ub7idSM1SpN79mH/4E7FAHbHKTcTWfpRksBbSQyitTxNNnaSm/zlKV99CRJfHoAluJsPxvHXi7W8m/vCDuKYC4aqx+8esFa+qJ76rDdfMvSx/fyd4OYaJpIwlGb19K3VfFUnmxG1vx9h/CFl1cS2F8PW3UH3PPeN/8HPlYhbGhVguTgGTqAfisQxtyfezssxHteHQkn4/4Qo/FQUMA1kSreGufoOOlM2cIo32hMWuAYN12QPo6RilksyNoT4elefwfOcwVx/4Pnrpag7V3cxwsJ6Uv4znRhJkmg+w/uj3kI0QT1WvRZNLWFZxGyfjL5GxjiEjUxvSiORMsYczDoMZh5d706ws81MVVKecm0muRd1/XUOZ5bB/wV9y8PKv0BezWF4qT7mtnXJ7uvQWcY2mqphHOyHWNiP0rtddkmuNZ9neL1QT8tWYKksU6zJFupgPlegyYU0hqMroCmQdSFuiBYtlHFrjpsB92S55iquHNza/yzd9YqEgtM3Aw3FcCmopTMvGJwtCfSrrkLEErWpWsZ/KIj+24+LmNpeGaSErMo4tjbXHeTluADuVxpUVdCdLUdjP8GgSW1GJGHHq5tTSGrco0mSc0U5icjHIKoYexR0ZxJHj+JOtLFT6Kb/iQ0Jltv5mzEveTCzr0J11GCqvJbliBKw0SuViojUrqPErlPqqiTz9LuR4J1T6wffWCdd7zDpxViUVyq+IeznEfXTuxPtra6m4YSnxXW3iftceT3AAy98Oi66fmGSW3MSc9ftg6QAnnq7C6AelatLYYlJFNSEKq4WCN1qqdZSTz0TBkyj/q7uoWHmb+JnzsFycHEuiPhKWy8FYlvUVflK2y76hDJdWBQkVVE6KJLG2IsCOfoP2hMX8iMbx/iF27nmM9Z6MXtpA2dIt3JD1+OMIPLvsU1xz4IsonsWh2psZCs8lq0Z4OamQtuq56tg3uM1J01O8ijgmUtFljJgN/Lz5V3xk9Qcp0hQuqwpyMJalM2kxajrsGjBo1JPMv38zUmElnOiHX/0FpGMEgqVsuPYDtGtRjoyYbO1Js6zUT3WhIc3Z5qEX2Yv1dZfk6kIaVEoUaRJhXQzIZYRybNoW87ZY1h2bcaQtgeS3XG9MmiiPGRNtYk5QMXd/jvyUa2kBJOaVB/E8j7Tt0Tdq4CEh4eFKYkMaS5lii+q6ZE2H5lGDY6qMqiqoqsyo6XJwwMCnyZSHfXgIHTNdzs0OzTTZPdswyiqZH+uipkvluZK5ZMPFlLa+is+M41XPJ+N6mGoEj9xcz3MoSbXjGS6h5/bjPPtHYn8bYegtbyeWdUiYYkkiSxBNdzCr61HKUieJLPoccmXOhunkNkGungLAOQFcq/cytNfFscSL2zh4kIFvfWsi+LanEUfZBoxiBC5jePFbT8Wl5ZPMwGF48d/H2tA5P/0BlM4TP2NlxtvQqYCn+YTW/CDs/KGoHAIlMHIS19XoeqlsXFjjxZ/Cxz4q3mjnYbk4OWRJoqncz0u9BvtjWZrK/ezsN9g9aHBpVXACjUqVJdZW+Nneb9A2EGPRsx/nSNml7FzyMdZveT+6rFARgOuXL+ZP+x2eWf5ZNh/4AoprcbD2zQwWLcRSg+xpeBfJhW/mTTV+Dvf20tF2gONGN1agms50JQOGTUVARZUlVpX5iPpkDg9nSVguh042kyjfworsQ6i4uWosJ60kKfD2/0CSFeY4fZSXlbE/DnsHM4LsH/WhxTvPvj2dAZPyM8XrLsnlEf0DGZcTCYuEJTaJVq4yslxvTN1CJpfIFIH3cnL3266AWLieOwadUCQZCXH/2LY2N7+Tc+1lUJXQJbHdPdQxykgqS1N9CbrjUlMcoGM0gy+soavKGFzF8zxsxyVr2SgoVAc0IhqU+DUB09Bk5O37OPHw/bRe/WZKH74fO53C+cL3cDWNwWgVw7EUdiXosoc/UIRlungS6KX1SJX1jOw/SGp1mHjdfHzResJJixKfwsJinVK/QnGyHfn+68fhHEtyQM2zADjN9nYkWcZzbBLtEgnC5OvczP79ZA4cQNK06YNvC5PM0LHptaFTtUL+Ehg9ObFyGBGg4r7Ba3Eye8ef07XFG63x+hkDqxYyIlpGTFaX+dk1mGHfUIY15f4J201fopP1L97LdreO1uLVLO78A68u/TA7Yx7rizx0RaIqqLFlxTKeOBHj6dD/Ycsrn0HusDlYewuDJYsxtQDNno/+QY+rG+aQOPxrEmVNxDPHWFY2n1cGMsyNaCwsFgyIhhzJf++gwaAS4HjlG0j6Slnbdj9BK1b4Zppw3cMrb+OSm789TvaPj7L8sQ9ScbZ56AyYlJ8pXndJrt+wOTCUwXQ82mNp4mkTwxI4tHnlQWaXhrDyMJCcT6abA5ipUl50U7SQeTu7fA0n5xYSQU0SiwifTLGmCIhIbn43Uupj2HTpS5qUlobwFfmpDOkAFNkeWcshGlCYWxYioAgnpIhPIaLLRDTxr79A9QLAWDAPa8sNZBcup7Pib4TxS1ExrqwQyKQpU13aFYkiXSHruILi5SGMkAeHcfxhtJEY1btfpFZOseCWK8fpPsPt8OMpWo1pQDJ8NcWEa7N4pimI97XrSO07gpfJoNXWEGhqwsua0wPfTk6oFYuh/cWzt6FTtUKjOZbEG/9VeBXkKod0n8rI0yLB5T1f8RzoPwQvfG1GwaolPoUlUR+HYlkiusziEp3DwyZHR00WlRSQ6J/5EoGDv2Sdr5ztCz5MW/VVLD10H83JAXYqb2d9XSW6IlET0tjS+TOe0NbwZOMnuG7fPyJ7DgekWzkRWQiyTq8h8f1DJ9lq7SWadKkvWselkVkUh1Ta4hbDWYdVZX4CqkyJT+Gy6hD79SY6E8vpcm4kc8VnaDr0fyjf9lVxbq4tvgqu+wSy/9ZHeKX6zdT7amjsewp1uvPQGaiYC+N1l+TyC4V4xmYgmUVXZcJBDVmWsSWFgYw9VsGRaz09BODWzEFpJUmoYURUSShX+BUq/DJhXUGRJAxHMCDyLux5vJzpjnsoaJpK1nLoG0nT2hvHtGwsyyYWz7BpfhmbV1ZSpE89xPU8QVIfNISH6LAUJX7L7dimQ+X6FZT5FPp2HsVSFIqCOvLqJszRLCNZZ5zDCiiOTfDwflTDIBLrpXrPy0SWzhMJbuQkPP6PcPihHJlagqplIslME8CpH/4hdZf0icfiAo9x7FAlFirhOpvqr33tlMcc3XQVtmFgdXWhlufcnKZKqJGaqfmPk+N0rZAHxHvgxW/A0SdwM1m6tpYAUPa+vyD+xDMiyUmqsM7LJmYcrFof1oibDm1xi5VlPmpDKq1xi4iujM+0uoVUeNgcZt3JX7Jjzns5UXkFy9t+ycFACTt9t7K+IoCuSNTafWxu+SJPLf8cT6y6hxv2/gOSZzM6510MhxtwJY2Ir4Fr5n8Tp+WzvHlwgHjaJLKhkpVlEQ4NZ3mxN82KUrFw0BWJteV+orrC4eEs/Rmblxf/fyy/7H8L7vUUeLp8FOsKl6V3crS/gxMVlzMYmsvKk78lmmoXP3C67elFoHe97pJcd8qmKyXEIytLxAxkNG3i5FyBVUnC9jw8Nwd8lSGgyEQCsgC8+tWx7WHW9UjZQtL6SNwiY5tjySyvQC5wbiK5lmgyuiLjUyRe2D9M34hBMm1iZi2GExkCmkwy63BVfeQUPS/L9RjKOAwYNkMZRxjPACFNoj6skbFdulIwt0ijz3CwQmFsWWFYk/Hnde9UCVkSShYSQGwYJZshsGgBHExOvFDPfAmafz/+vaxA67PwvStA9YsEdzZIxphq7DieTfU7WEkVJd0GxvCEobKbTmMPDY197wwPXzgi/kytUMsj0HcQZIX+/RFsQ0EL2lTYPyQeDwGySPDZuDBnuQhg1cJFxMZKsYjYP5QhqAaEKXTDpTDQDJ5DcaKNNW0/45V5f0l75WWs7PsT+61bxNZVH0Jvfoj6VD9XH/oyTy//B/60+ovcuPvTbPIcds99DyP+WXiSgk+rILDyB0R3f5aKnic53rEad+4qLq0MsD+WZc9ghtlFGotLRPs6v1inxCe2r31pm92DAji8vNQndP1OE8pNX2MxUJlxBNnf/gRzcm3xlI+7SPSu102Sy/uhtiUsKqpKkCSoKw0RCagkM9aY7HhYE6V6qU+hxCcMdB1PLCUSlktHyiI1Oj7DMx2XntEM6axN1nZxXI/aEj8N0SC6LOFTJYpzW9uIrlCkCcrTF+7vpzeeZf2cKMeSBs4kaoHneYyagmc7lHEYyYoaTJWhzK8w369SrMtkHI9YxqEjZdFnOOwdymC7HnJREbrnMa8sSkCVGMk6BDUFLyem6WYMXElCDgYJLF2C1Xxg4gXLVRBIiph7uYLpipkUX5IszEt+dnPuAZKABNz2n+PHuOnrIont+P5YJTXnbQWV1KShct9Xvgp2QftjpsYxbqoOs5rgh5vBiJ0bMLcwCluh0rkw3EZ2GIaPisrCX+YwtM/Dydl5GDGV4dYI0Ub7/IjnZ4m8NNPLvQb7hrI0VfjZ1Z9hz6DYuOqTFidlJ7ex6sFPs6fhnXTMfTurynzs64mxa+vPWJdJossqDfH9bAoO8py6kseavsQb93wK2bXZMf+vSPqrUHWNjKfw+Iq7WX/0e8xP7ud4ehkuHhsq/RwdtWhPiPZ1dZmfkCZT5le5YlaQvQMG7UmbQ7EMScthbXlgzMrydDFG9h/JciJuMWg4rCjzTeTLXkR61+smyR3rT/LAzg4Wza1gTkDHdl1c22FuJMTWfZ10x9Jct7iCpgVREpawkBvKOAWVmZezn/PGmi9VAtt26RpKYdkOluUwkshQrUa5fGm5wNNp8ilyNjBOBVvXUEr3iMFw2kLXFKqLgngBP091pcib1xfrMvOLNYp1kaSGs0Lq/FDB9hMkorrMxsogtufSmbJxPCjShN6/CHHunuuCYeDJCnJJFPPwq7h5WlReUqiggsCeQoi5UA8sd2xaHj2lOpvuUHkCIDg/D+vYDmpuueDYcPzJ8eOYyXOHGUxuhbZ8AdpfxhxOjpkVJTp0Eh362EMyQxq9QxrReT0TjzWDYFV/bhGxvd+gZdhkdZmPnQMZ9g5lWFfhH3/9nHgRfn4LVY7Fck/mIDJq1w5WG23slevZteCvWNf+C3THYN4Tf41bupHnl3ySx1bfy427P81GYNuGe0m5LhGjl4RazPZFf83Srj/QsO87tC9+D64XZXW5n1KfwsFYhpf60iyL+qgJafgVmY1VQaJ+k+ZYluOjFknTY0NV4Kyac6ossbzUT1XA5mAsy7Y+g/kRnfkRDSnRc1HpXa+bJFcXDbBlSRVL6kp47ngfyYzFVUuq2XZsCEXXmFNbQpvh8uixGLNLgzkSunisl0tsiiyG/noOIFyiK7iOw4HDBovLg/x0qzDDuaw6RO1UZGcm6tfJskTC9qisiDCrroxIUBeqJh6ojkN9WCPs00hYLgOGw/HRvL6cSHwLinXB/fTJHIplGc46lPoVulLjSUmRJWw7n+Rys0bXRXJdPE3H7OtDSoyg5pLc2Faz+dDEmVehbv+CLdD6zNRzrrOt/KcYKk8ABN91F/E//lEkOUUbx7hNjrlXw8mt04cZTG6Fbv42/OR6SA/hqy4lfNk6vPYdY8+VGizCM220WbPEAuTufz7z8S8w8tJM+UXEslIfB4aytIyYLIn6xPn/11vBEa+BukQzdvejvFp9LdrIMKuHn2Pv3Heza/Y7WXf8P9CdDAv6n8OVNbYu/l/8sele3rjvH7h059/z0oIPk9ZLKB9tYSiykIN1t5Dqe5752+6l54q72e3BmnI/l1cH2TuUYf9QlqGMw5KoUApuLPER9Sns6jfoNSye7XJZWxlg9hRCnJOjIqByebWY8R0bNRkwbFZs/zfC5wvYnka8bpJc3pmrM2ly3BBMAUuW6R7JEAxoOd6mEIYUMBCPtoEkQ4ksfcNp4qksb1xayW1ranMbzvESfcNtKwH49Y52hk9jGwhCNXjzN16gqjREbV0pCwM+ui0IFQUYSWQYGEpi2S79g0kOdo7QUFnEliVVyJJ4ExQmtckzDdv1xjBWOQotrEfMAAAgAElEQVQjIGaBdi5Jj6mLywqyquFoGsqsWfgiQaweUalMKSk0uQJ6x08nzkqmu/I/zVB5AiD4rz9C/I9/FD8/50r4/J9Of7w8D/JsMIPJrdBf3A+/un2sctD/8j+o2/oNaO3LPUDi2CM6lqkQLmqjeu3SMx5+pqI+rDFqOrTGLVaX+5lTJHQHi7KD1P18yzg+7fovwcLrmNOzH3Pbb2mtuBJt2S00rXwTe7oG2amHWX/42+iazqL+53BllZcWfYzHVn6BN+35FFc4Bi8s/jiJUA01sT30RZfTVvUGMr4ocwf2MaSsZ9eAwdqKABsrAxwdFdzYEVPozxVpwtXs6toQuwYMTsQtXupJM1rqY1mpb8rOpTDyZP+qtGh7Xyq9lkVlzTQMvoR0Eehdr5skl4+05aKqMp4koesqNaVBRtIWGdPGtBwIaywv89M3nObrzx8hmTaRgaztsqmuiMpJC4H8rG9nW4yuEfEi3NMxPHa/6XgMZcQWdMCwWbe8Dsd1SRkWvQMJLNtBUWSKi/zMrokiSULqPp7KkE0ZbKgMTJnUJoflejnwsXjOvKySklP0BUDyxOZYltCixbgu6CtXUuRXGf7vhwFOlRSazjB4Oiv/0xznvNV4pwszmIq7+uI3hcijrIqrVAhwBcBD9dlYCQVFt2a0NT1bLM15RByIZdhYGSCRGKZ55x8Ie35KtAC864Fx0PPiN7Hwic9hSSptle9HHx2g6Yn3safqRnYu/BDrT/4S3R1h8fBOnHkNbIs38ij/yht3f5I3HL2P59Z/hcHARuo7nqa7vImekhVkSVAvwVBWMB7WVQRYVOKj1K+wfyjLy70GS6I+6kLC0Ofy6iClepYDsSy7BzOMmg7rKwNTU7smYRar9TDReddy8JIv8GrDb+jzyazMQVhmMl53SU5VBMA2nbFwMgpXzyvlXx89TMdgkqRhMmtdPfNCs6jWgqyvKz7FeHpy5Gd9Yw2hBMeH0lzz7ZcoLgpw5eJKls4qRpUh6lP4u01iSJ6wBG/W8+DBPZ30DqdZVhbgQ5fNpsSnnDWpTQ7bE/p4MG5rKCEWFU5Orw5PEt6/5Od44j4ZCYLCgHmCpNB0hsHTWfmf4TjnpcZ7LjCDqbirjolQKLDEV2Gsehfc+j3m3H36Q17MkCWJ1WV+Xuoz2DuYYe3ur7ArG2X3vDu47PiP8Re2cvOuRkrHWGo8hbXxo7S07GG5bdPU/gB7Gm5jZ907WH/8J+jZOMu2/xNupogd9bfx2JqvcOP8WVwVlHgmptFdsY45PU/TVb6B4aJ6zIRFTUBhwPDY2W+wrjJAuV/l8mqZ/UNZDsWyxDIOy0pF+7qszE+pX2F7v8GRUZO45XJ5dfBUIc4pMIu+w79jTduTdH1oL4cNne6Uzfxi/dQLcwHxuktydSGdA4e7aetP8IwHP5l0/wO7OmgdTPKrD196ivH0lMeLBrhu+Swa66I8eXSQkqIAiiKgGqPJDKZhUhlQyDgegxlnTMWkRJcpVcEveew91EVvPMPSiEYylUXnHM2qR05iv7oLtesFOPZTrLl34DV+DDlQMl7JSTlD5zFmrQgnx/AoumYzi9/bPN5qnE29I9UPj39eYMjydWMgCr99v6iy8uyC2vXQu++0kJNzVuM9V5jBmbirq++AY0+Iqk7zj1dJM6xndq7hV8cZEYeL19O0/W62L7yTPXW3suHYj1C83LVqfQYcC6lyMSuXrsN6/jccrL2F1e2/pKntfvbMfTc7539AJLqu3SwfPYnjmLwy9y957FgHNx74K66KLOeZpZ/mRPUm5g9uo6diAaOmS6frUeZX6DVsdvQbrK8Q1dm6Cj+tcYtjcZPRXodVOVXhWSGNLXUK2/vStCcsHu9IcllVgNpwQcI6DWZRsjLUHXmAsvV3jn1Qz2S87pKcrkjEU9mppcgQb/qz+ajaOczaUE6x4S1XLgJge3eclGES9ik4kkQ46ANNZSDjUKLLzC3SKPMrYmHheTR+7o9j/hJwAWbVW7+BbVSiGTFQfViSKqqceCeKpeJ4GmRNUnv2YY3E8DZuQg378Ryh8Jt/WbneeIV3VvUOxxLcz3woKrS/JP4vqePsgtancvfrUx5Hv+U701fjPVNleSbtt9OBhn935/krlFzkiOYYEc3zbybS9DZW6Ap7BzMcuuEeVkh9SD+6RlyHXKKXFZWmTX/BrmfuZ3/DO1l74hc0dfxf9jT8BTsX3sn6oz9E91xWnfglriexe94dPLb0c9y497Ncc+jLPL387zk+5xYWhFR8qsug4TCQcYjqHp2OmFFvyLWh83N0v32DGbb1GTSW6DSENcKazKaaEPuHMhyMZXm6K01TucuyUp8ADp9l0z7TbWo+Ls5R/4dGfzxD+1Bq7PsVtcVE/CKhhXMr8I9sms9P3rf+lMeGAjqerrG9L81TXSn2DGY4mTRFDeM6mJaNrqpEwj5KiwLgepzsGYFUhi21ITZWBVlU4qPMr6LIQgzTpyqkTIdMzpI9bTpkbfeczaq9QBRbj6Csfy/c+QLWynchCPgu6vGnsW0bZ3AQT1GRPTdXTYpzKExsTmHmL6yArPT4l2OKwu2wmOGhaHDLfXDdl0SFBrDibXDnC/CW7zHWH091nNPMutSyMnHowtb5TJWllRlvhdKxiUoWP9gkYC1TxZl+x7w3wT1RuLcefnm7kP75M8bssEZdWLAgAOYXa3QPj9D+u89MmehVWWJN5gDB7CC7G96JlonRdPynpPQSds5/H+bGjyHdPUrT++5jVVUpsaJ5/GnVvzB7aAdXz/KhKirHRi2q/Ao1ITXnzethOC4n4iYv9xpkcmObqE/YF1b4FV4dNtk9KKiSqiwECDbVBNEUiR39Bi/0pE8xQgdmnL51unjdVHKTnbkAjg8kSZtTYMAQCsBDGfFptnTRLLKuB36duOmiyzmpJEcY4/xqZydGxmJgOM1IwiCdzo79UaWFZWOYuMJQFZnD/3zDjPxu7jWfw+tIoRbrUKxjmylItSF5LmqqB2P0BJLl4klSTrFyvHqzC157E/DIp7ONA1EB2RlRnckqPPpJcXteGilULj6lCz+pL/2o2ApOI+b84v5Tb5yqsvQ8cLLiPPKLg6plsOVu8eY5m5LF6X7H6XgTnC0uRFW4ICYsIgJxkju/QUvpJRQlT1B285dPwZPpb/oK6xyX7X0Gr2y8k41VQZpslz2DGXZqMusdD73nFdY9sAV33gc4MPvtPPamx7ihtJhr0gZPj/hpGbFoLNHQJZWutE3GFmo7rfEsputx5azgmPBsU7mfk0mLV0dMXupNs6pc+LQ2FOmU+BSe705xZNRkxHS4qiYkWBxwUd25JsfrppI7XeWUD8/zKC7yk5JkHmkd4U8nk+wdzNCRMJFlOcdIkHA84UofVGXmRnTWlPt55WAnOw91caJ7mJFEZupPrYsY+e1pvtq3RrvH+KZWqhhzcAjZcUBRhTUgefFQaUIlN9nP4bRxugoIRNLLfyrP5Cf1VM9pG+I2OytoV4oOPfvgN++FBddAsEwkwXNVssjPjt5y33hFqurjCXM6cT6V5RSRX0QoksTe/S+yuPUBQmaMvbPfQfq3d8F3NsC31sCjfzf2GL8is74igCRJ7Ow3CGtixpeyXHZ29mH+/O1InseG4z9mWdfDDMQTPL71ceb85yVc3f1LZBlaRi3CmkxDkY4kCf8Qx4MTcZOnulKkcxWdlFMtuaQqgCzBjn6D46OmeD/pCjfMLmJxic6A4fCH9gRdSeuiu3NNjtdNJTe5cvI8j9Gswxvve5loJEA04keRJfpMj9/t66U0pLFhbplwggJSaZN0Ik2NXszsiI+S4PhA9dA91wNw+Zefomskw0c2zee/93WNQUouduQXv5osQawV+8jjSGWXg6wy+F+P477tQ6jREqShQYFPAeEvLTFxJsc0s9zkCiin/U8mLqq3Al/RGfuknvycIyfhl++CvkO530cRz9N/SCSjZ758/gl2JqR/ZlAjbWwR0RrhUN3NNLX+nJcX3cXu+rdxydHvo7qntv7BVCfr9nyXHU4tO40hNp78JU3z38ie6JXsbLhdLCMcg0uOfBfXkzhcdxNPLPt7rrM7cGcFebYnzasjJoujPuaENTqTFjnfJDqTFo+2J7m+PkRRrjIr1kX7eiiW5eioyVDWYVWZD58iYCYVfpVt/QaPt8dYu+frrEgPIV0kd67J8bpJcvkYNR06kxaDGYeE6bB0fgVCxddDliQyplDndSyJ+x5rJpsxGUlmSGcdjrQqPLD1+CmLgUIWAwjsnO1MDTm5GJGHjKjJHvjPa7EXfVJ4qToh6OnGCwTxVVRgDQ0heUKIQM4JdzrnU8kVxlSfyqOdF/+Teus3cuR6TSw9HBN68jpwHrzyE7EcmYkEez4V6QxrpEV9CkuarqG54XK6Il9jtV9hV3+GA9f+A6vL/Kcqgmz9BpFdP2ZteB4757+fXfXvYMOhH9BU9LKAl+S3ro7BZUfvw5FVWubfzpNVtVxb4sMFnu9J0zKSZWnUR0NEpyNpQc4aoM+weKgtzo0NRZTl5tqqLLGyTGDqDg9nebHXYGWZj3K/SmPUR5k9xNN7d7Gj/p0MBOrZtHoD6kVw55ocr7skN5RxaB7OIkvgeRI+RSZuWCyrCvPWldU5Yr4CnseKu9swrPGWNt/eFi4Gppr1/X5PpzCGRiS89qEUpaFzhIWcQzieIM6r//1eSA9h6xGkQAVOdw+KZUEohNPfD44j5li2jTM0hBSJTtAIOeckN9W203Uuuo8mMHWl9OCdY7QnHBNClReeYGeqIp2B1n12TpopL8e0uETn1RGT45rFgsnYstz1iV73WZoq1rK7L8Vuz2Rd689pqqlkT+2H2HnN58Zkmq7wPNzuFEdHLZ7qTLG5LoTrwYu9aZqHTZaW6DQUiYpO2FLKDJsuD7UluK4+TF2O0iVJQhWnxCezdzDDrv4M83LKI+Uv3MPNhx/l2aWforXiSkaOnODaQx8jYvRc1G326y7J+XJClIrnEZCh5Xg/rX1x6tfV43PK8Ulyjh4lTWsxUDjry0c+wcEFwELOIazEALz6iKjkND92/aWQtgEJzzax02mkRBxUBcnzwLawejuRlkWFinHudN1zsaecatuZGoRfvJNUW5yTz1YLjwT5F1R88D0z/0k9uVKSlfEEB2Ied6EJdqZmRzPYuk9mRNSEVI6NmhRpsjCdyUfB9akAVkYs9nUuZG/9rTSNNtO06p1iGTFgjCW6N9SEcL0Ux+MWT3eluKY2hON6vNxv0Dwynui6Ug4aoEgKI6bDo+0JrqwJCY5tLvKeEc3DWVrjFrGswypfGQErzvX7Ps/uObezd87tPLj6a1x1+KvMvoisktddkqsOqJTOCrLsHx8bq75c1zvvZFQ467MdlxV3P37W6m+mw97xE7CK0RBKxk73XmRfLZ4qE1pUjhwKoUkeViYLnjDWUcvKsBFqKvlZ3DlVclNtO+0sruXS9VLluEfCCz8E498vLu5suB2+94bx7xXtwpUsZkr6Z4aH7JMZERuqAqQsl/2xDJdoAYq0qY89a+gVrJO/p7n2Jg7UrGalX6Gp3H9KottUG8IlRVvc4tnuFFfVBHGAnf0Gh0dMlpbq1IdVulI2fgXKfAqxrMMzXSlGszYbqoJjgHJFllhR5qfcb3FwOMuLq/6eFVd/gaqgylqgMmHybHeax2t/Q1O5nzWed0YhzvON1zzJNTY2bgJ+A3ygpaXlD1Pc/27gbxHvx++3tLRMJimcUyiyhOZJp1RfM5GMZhIWci5h60VgeihWAhwDW1KRsZEDMlXvuRStehYBVcI6/KrYruo6vupyMpZgYOSXwWNL4enAH07DJOjbU4yTLXijufY4Jm7kJDzxeWh5bBzyIatCgvymb5yf/dxIh1h6mInx22TtwoC9F+LVOvncLkLrXsiIOBjLsrrMx8v9GfYMZLikKog+mTWQqyRnZ+JYJXM5Gnk3+ojJ4hJ9ykR3VU0I10vSlrCQeww2zQrgeh6vDGRoHjZZVqJTH1LpTtvoikRlQBVc18EMSdvliurQBI25WSGNiK6wb0jo5DUUaTSW6NQX6dw6V+HxzhS7BzIMGDaba0NoU/FeLyBe0yTX2Ng4H/gEsPU094eAfwQ2ACawp7Gx8cGWlpbYVD8/3XitktHFCnvDXTBqor3lYyBJOEdGkGwhTWzNWQdtSWQZJE1IF0kSSFJemcTBOfoUJAfwjv8M0m04vhKU+EksFCxPRcmk0VseRSrEiU2BMUvv3s3Ir94NFGjCbbgT8qyFP3wCDj048eRdWygOf/8N8Lf7z81+Lt4tEpwx6eWQh7Pk41xboQvxai08t4uokTbGiIhl6dBs1uSS3r6cBt1YRTSpkpz3pr/HdH20Jyw0WfgxTJXorqkN81RnkuNxE1mCK6sDOJ5w4mqOpVk6+Bx1g6/SE5yHLMtUB8vpL11J8zCkLI8rZ4UozXSNfViGUgNc4iumZflHaW98N8PZElaV+QnrCrfMCfNCj8HRUZPne9Jsrgtf0LWZHK81Tq4HeCsQP839G4GdLS0toy0tLQbwAnD5n+vk/l8J2xVqv/kXtpPzkpBhHJSMhD5/PqV33IESyrm1A56VxRk8DnYWRw2CnUGOn8Tz4B+t9/JW58v8nXUXjqSdESc2WRNuAlshH4FoDmDrh2v/Ga774jhLwkpPH4OWj0c/JewQ86H6xWBf0aHpDrh7VHy98auiinzoo9NjMZyJCTHdhDlVopwC03YhUR9SxxgRGcdjadTHUMahZSRXWU9lCl1cw+ISfWyW154wqQio4zi6AWOMuXBNXZjaoPi5l3oN1lX4WVnqRzKGaVbnYjkONaMHkR0L4t3UnHiUkOzRnrR4ojPJiR2/xyvACspWiiW7vkjT4+8hnTF4qS9NT8pCkWWuqg3xhllBLqkKzsi1KYzXtJJraWlJAzQ2Np7uR6qBgYLve4FZF/m0/p8Ly/UERg6B/3NyfHlJGmc0KDJgi9vIKQkrIjPiaEHkhktx170RhnfDgx/BclxuaIzy2Il6Xk1X8yXt10TM/tPCH06rCVcYk5cFANu+I6oe1z43aEW8e6JSMEyUSzrwG9j7i/FWWw+K26bDYjgT22O6MV1T6wsISZJYGvWRMMUi4pKqALNzGnQRK0bNz6auJKVQBStKfdiux+FhE00Wbl9ryv3snlTRbakL83hnkpZRUdFtqAzgtB6nmUqaGz/A0iKYleymr6MZV1KoSrcyWLSQfsNma/FVjM67g+WrrkKpXT2GFayKHSDS83v2zbudfUNZBjMOS6M+GgsWFzMZf7Yk19jY+EHgg5Nu/qeWlpYzqCIyeQopwXQRq69tFOrMnRhKY7sen71xMXdumj/jz2V73hjbIQ8JkRFD6rz0ec7OGskbv6gSEqh+nFW3I8sybrEOdXORnvgcerybTVUZgt0K84yDBKzR08IfLkgTLpWrxBT99NCKqWaEviKwsrnfdApMop0VlV0+mSmaeNxN/35u4NzzpWfNRKKcRoyZVfcZ7BnIsLEqQMJ0OHj4FUKuRvFpWm7plu+wqtzPrn6DA7EsmiyNVXSTW9dr60I83pHi8IiJLElsvOQG3D6DlpEsh7OwuHI5s1oeoc9fj2dlqAwoaLLEiFTPKxv+hXixzrqSAIECrGAg3sqGygDHphDknOn4syW5lpaWHwE/OseHdQGF+/ZaYNuMndRFjEKdOV2RsV2PkTOoBl9I2K7wewWwHE8orEgimeXb1bG5hOSJ5EbeTUyYZmtybrs6Cc9V+0ovP9T/FdUzITo1/GEqTbi8aKexfz/p/Qf49ax1ExN8rBX+623jVU7p/NNDK6byTs2ebsJReGEygu7l2iLzX/05MVOD6YNzp3ruc+WxXuQoXEQciGVZXeZnm+Swe87tXHbkPnzWJCe2XCWpSBJrKwLs6DfYM5hhfWVgykTnU2Suqw/xWEeSQzmM6cZKP67ncWzU4tWBOEvQmRU/TO+cy0GSKNEFFCuWFe1zynJZ7xyhrOC1JUvSKYKcy0uFn8RMxmu+XT1LbAd+1NjYWALYiHnc357vwf6c1VXeU+Jsopszcb6F0udjlZskIUuilZVyrWs+8UCu2pPAy8mjA7jx3ol4rqoVfN/cRBFpUlop4dPAHyZrwo2kLaydOwg4Jv3BUnZWNuLmEvyoYfG9h57mI69+gCJPvPkyegmB95wBWnEm79Qt98CSN41XW8m+8cdJigAney54JsSOjt83XXDuDNKzLmZEfQpLSnw0D2dp1yyaLrmJbX2b2bPp42yoDJxWklyVJdZWCBOdVwaEEvXpEt31dWEe60hyICYS3SWVATxjlOODHRyuuZ7FwzuomTWHHsNFlSWKNAlVRrjJjaYxOltYHV3PHGkQqeADrVCQU5tCzOJC4zVdPDQ2Nr6psbHxWeAG4N7GxsbHc7d/prGx8dLcsuEzwJ+AJ4F7WlpaRs/3+fLV1fHB1JgyyMWqrvKeEn+zeSHByQqp04zpnm9huzomDpCja1mON/5Hzqug515HuSketichmQmcJ+6eaPTy4y2UEAckgtYwfGfjlMN6vb6eum99k/r77qP+vvuo/Oa3yEREhbO3bhnfWf22sZ9tb23hg4f/aizBjRLiP5f+x5mhFZs/D5/tFFVY+UIh5VRIvi8kwxe+pBUNLvnr8e+t3MyuEJwbbTgzOPdsz/0/KOrD6phBddr2WFnmZyTr0jycxTsD0NuXI/SrksSugQwpy51yGeFXZa6rC1HmE5VXc3cvGx6+hbl9z6N4Li1zb2PU8qgNqbgI7Ua/LFEqm6ixI8QC9exYdCd73/wg9qTUkxfkrAjMfN31Wi8eHgEemeL2Lxf8/7fAb2fi+eqiATYtqmAwmeVQt2h3vvvccUqC2kWp5i40plsNFrar2QLpcxkJK8fJHZMeKRhzCggJuFYG6eiDeJYx0eglPYQEOEh4koZkGXgtj5BqeZZN5jeIuaEpK8uqiB9jbi3GcB+ZYNH4HfFulv3hZmRJYNpMND5vvp/11hAMHoPiuulBKyZXYT37RbW16TPw3JeF2z2SqOK2fXf8cf7iCwfn/pk00M4nJEliaek4I+LSqiDzIhqtcYuinKLI6SKgyqyrDLC9L82ujj42HvwaFUcepkkuZs+897EzGGb9mjcQLJ8rWtfWAfa2n0QpXsuG7t/iNt1Bp6XRMmLSWKJTGxKA4bCbQjr6KJKkkw5UkanZwCHDR7w3zbqKACFNnnD+FyNeawjJnzWqIn4+ds1CDnXHJ6D7L1Y1d6Ex3WrQ9sa3q/lKzpOEM5fp5OAlObWRfMvqeWJojefhde/Fs7K46rjRi5fsx0PGA5zcv57n4noSmmfyNuUF4PTXbs4v7mfJq4d5ePUbx2988h4UY2gs3+pYfFP7Nu9p/iB8Z/30oBVTVWGbPw93vQhb/x2yScFZDZYJ/4a8S7QagLKFFwbOPZcKcCbjHOAvSm4RoUgSu///9s48To6yzv/vqup77js3Oamc5CAJBIRAAgQERFEURcUDPJZdUVe8fgK6Xui66LKuCiKsXAqKcoNCgHCTY3IQEip3MrlmJpO5p686fn881cd0unu6Z3pmkkl9Xq+8MtNd3fX001Of+p6fb3OQiSVuavwK77VFOBpKr50YQ7FbEF3kwAbWdvuJhIPUBBuYv/sBurtaWfPi/US6j1IUbGTFc1dQ2rWPdVM+zZ6L7mJRqclYdxiPbLGtPUJL0GC83E1wy9OUdu7Cr3firZmKTwZJD7O3I8yqg900B/WsayoETiqSg4R1VOI73sORucGyLAyTxDhC2y2RLPHl6rbbasbSDVYsRW3rykWDYOpYsgsDCe77ANZ7TyJhIWGK3lxJx2OFkS2DsOTBJ0WZoPSjHtvTu3RCIpb8QMTNdr+aXX03kxWWWg+29Fu96+eQhJX48k8zKwtnQoxgfj4F7pgPoXbhBl/234OqgdYLeWrT+Vwy86p8BA2Ld46GmVPpJeCSWH8kSLCP2HCZR2GBvoMe/2jWXfpX9C+8Ss0F32D+vkfodpez5t1NRFb+hOK2bVy8+QeUhBpZ29jFgae/z6InLmdM82o8ssz2jghN219nwqEX6QqMoTx4kJKdTyPtfQ3vnhfxt2ylOaTz6qGeuP7cYOGkI7mYdVQ6QkgupgWQGpPTLYsthzp4bMNBVu8+ypMbD9LcGU5KPohB05adkBA9rLFnBCwL2q0Ap4XuYmLoIT4cvhW3ZIE7wHvuGfkv9rLbEwW6Cz8v1m8pRGWfKCFp25dZVDJTi1RqZ8G530yxCCVxfPkpgvjyLc6NE0wSaRpReOiqvMQvB4R+iHhW+pS4WOXerigLqv1YQP2RUGJEZQZUnf9vzL3oi7RXzmK9NQ5z9pXUmK0s2PVHuqM6ayrPJyJ7Kek5wMXrv01RqJHVEz/F4eJpzA9tZlRAwafI7CiaxaGy2UxsfJl2Xx0VXbup6NyOIXtQJIsKr0KPbrKmKUh9c7DPdfUXI+NKP06RTmeu0LJLMXmnWExONy0sLCJRk4aWbgzTosglLI6oafHGziNEXS66Q1F03WRsTQnWhLOxWsswu7fDlb+PZxGlx79MmWWw6eKjoC6Cu74MoShUTOGV9sXAANx8fwVd+Pl/0c8ye+55XD+tK3PWMluLVHJngQU8962UE1kQ6YadLwL9KM6NzWbFElbUkn+DN+6AaBDq74ezv5L/Z8+39q6f2nRCmslkZ3uUErfC3Cof65rFkJm5Vd6sMbC6gIvZlV42Hw2zcftW5vW0Ui21saDMpL5sBWvUXSyq8VOqSKwI6zy3r4u3Rv8vZ9cFmOuR2XAkSAuj2Dn7S1glbiYXu9nVqVPlU3BFdBqDJpgWtX6FtojJlrYInVGTRbWBXnG6QsAhuUFCOp25wZBdigtmxktIxONet0RtiY/ygIf9bUFAqKRsb+piTG2pLX1uxZWPzVFzMaecDjV+8QbJF1LTuzAderoAACAASURBVPDqL3q5ieZvtpKN5Pok+OU3s2LNWRwIhRjjPwXmTM984T7zzURpSDQI931ADMiRFKiYlOgsyIRYJ8TCz+dfoBtqFz617Bbne+s3iXNteLB/JDfQ2rsckx/pEhGnlnvY1hah1CMzuTT7fNNxxW709oO8996rvDtqBbMiGtUzl7MgbPXqjCj3ulgxvphnG7p4o7GHs0cFmF3l552WIHIYdnVGQZKYWupiR4cgOrcssb/HoCNiMcrvoi1ssLdLp9IX4bSqwopnnnQkl3rxgbgAO0PRgopaptOZ64/SSV9kkZA+F//rpigG9igyiydXYppwoF2QnCJLjK8MUF7kobkzJMZAYMfsLKu31FLsQnL5xWzVcGdKsH5rxjX3RfB3XD3/mM90+J2XqOs5ipTuwm3ZnnoKu/bNhFPOgmsfF436XU2C/CxTWHaSkqiXMfVEEiIfZGvPClSLeF2+3RADqb3LU5tOSeqIqG8Ocmadn86Iyba2CMVumdpsJRute5n44DIipfPZNfZi3KffhiorVPs5pgWswieI7h8NXbx+uIdzRweYUeFja2sIWZLY1RGBcCenbn+IbXoZVUffYaLLz57xl3K4eiqnVJbhdxkUuUag1NJQIt3FB70HShcKhVA6ycUajBXyKrGOh3gxMGDZbV62TpciwdJTazjQFaWlM4xFohvCJEk0M/lCkmQxMMbt7+UmeqzMllM2gve5lWM+07oN6/Bv/A6WFEZKd+FOvww6DqQvBq6Z3ttlNQ3xwdNZdqaZPyklt2clz7KonQ7VpwqZ9Xwtsv5Ko/ez/CWWiFjTLDoi5lZ66dJNNrYI6644nXuYFAOdRj3RS3/Fbr0ET0eESaUeqv2uY4iuyufionGC6F49HGTp6ABTy7zsaA8jywq7WtoxuyWmH/4b7427jKrOnZy6/X62By9jp3wWakWASSWFV88+qUgu3cUHCdWOQltzA0Uu1mAsWBsrIdHjHQ6JO6KZZKJZsTeGeEZLksQemBZJF1K7bRXZ544G4f4PYioeJNPka9b7+ArXIbU30PnwLyna9yJyzxHwFOOaeA5bv5aeOGLCorHPNE5q5kHpe5TQQ6dcQVm6C7cvUki2tlKx+ItChQQGNmowHcGs+UNhuiFycT8Hok3Xto/KVT9jevMRtladw+6Wt1hQ4uPNhf9B/RGJJXWB3p0GKTFQ6SP3MrPYItrZgXZUHDuu2J2W6Kr9Li4cL3pdXznUw9LRASaWetnTEcZldrC39n1Yk5cxs7qULS1dVL57H3P2/ZXNlZPYKo3H65KZXem4q/2GS5HZ9P2Lek2uD0VNAh6F+n1tXH/f2gFbc4VsHcvFGkzE5Ozf7SE1MVhW73YuM0l9NdbDKiP6Vo1gO9xvX0iK91j3zjKR7fhWmyniOeO23kmJ9Dw6CrK7b+Lo9ZnaGuD3y6C7CwJVlF3/Ym4XbiopzLwit1hbf93ETARTiGE1ubifA9Wms2OAE2Q3Ha4ydlYvoXTXA8xrvIo1lz/BxhaZ06uTNOjSyERJwGmWhb7k52yWr8QlS4wKuNISXa3fLZr693ez6lAPy8YEGFfsYf/o6dSYsC9oYFkuZk8Zx+b907FMi4Udb1Bf8XEigzAA6qQiOShcrCwTBrMxPx2BfuPy2UwdXxVPPOim3ZOa9DrLjBfHgSUlfiTR56rrYcxN9ycupOmXgfYsLPuecOmaNazHv0wkanKbfjX3GpcA0GIE6FT8/Knmq3zh6g/nThz9vXAHMi8hX1Jq2wfP3wpbHiMewKycKo6XlGPXmW83RK7u50BFPG1yly69nZmj59N1sJVNZpQlO+5iRuOLbFEuYVt7BLXcljrKEIeUgXnhraz1ymxqCeGWfVT50hNdXcDN8rFFvLC/m5cOCqIzitwc7tGpCyg0dOlYXU2ctufPbB73Iazq0zlrlJ8q3wmsQjLcSCaIqH23GIzm/EI05mdCOgLtChsi+WcfExPQxIJQ1CBsWrY7LqGbJp3hqD24xkqQHGAd3YNuGIkL6T272+75W+IXkvT89/B2HOTWc0u5dcWl9hnF/1+ILTITcaSWTUiK6EiQ87hwCz2UuC9Seu1X8O7fej+2/2249xKxT6d9LLHOPa/D/Vckhuk8dgNsfDhzvC8f93Og2nRJ5K4A8ytM3tjzNvUTrmJJ+zt0nno5uzuilLplRhe5s8pEuYAFhsXqpiD1R0J2dlVJS3RjimyiO9DNS7ZFp5vQEtIZ4+phf2MLjP0gc9vf5J3yT7OnM0r1INSvnjQkN1TSR7FiY4CH1+yjtYDnSEugkoQrKQanW5bd4WDx/NZGvG4XYd3A7XbR1BlhT1MXdZWBuFVnAsGojoyELnszX0i5WimZjnvxR7Dp4cTvMcvIjIp/qedLRaHnJeRiEcaUjFPXB4LMYuts3QsPXJkgOJdPuPqZ3PZ8rdgCa9P5Dq5m3s77WDP5M2was5B55R67zCRMwC1T1oeghEeRWFjr4+1GoVxyhp28SEd0Y4vdLBsT4MWDPbx4sIdlYwMYPa20v/ck46MRGmqXYM25ivmVXt5pjbCtPezE5PqLwbSwhgppCVSiV9DYMEVPqmFZuCSZiG5gmBZeCQxTzOXqCSdc9Yhu8ubOFiqK66hYeD18+OvHnjiWVezLRcxGHE3vif8lxR4GrSeSGstvgXOydB0Uel5CrhZhOiXj22eI9Sy5AVb8JEG+sVq8FT+BaRdld9v7cj+Xfqt/Qp25wP6OKkMdTO/awNbST7GrM8q8ah9vHhbCm0tGCWmlbPDZyiVvNQVZ0yRKU/wum+hqfNQ3J4hufImHpaVNvLy3hZcamlj2zvfZXbuUbn8dEyrL2BfxYLWEWVzjo3wQLLmTpq2rENJHxwXsXsrHQ59jp/cazmv4X1yb/xLv+dQtIa0kIXHh7FFcNmc0H188gWXT6zhnajUuWcbCsguBBemZloUiJ5IYvZArIfR13LQLRdD/Q78TzfRX/j7x3I4Xs3/mQs5LGIhFmGql9iJfP3z6CZjxAWHJTb80syRTXzMkYsXCXU3iuHAHaE/DrxfCtn/kPqsiFSnf0YTLf8DYYg8726O0hU3m1/iImBYbjoRymsEbcAt5JMOyWNMUJGyHgap9guiSZZomrrudc9d9F11SeGnWd5jUuApf+CjytueY5GrnYFeEt5uDuX0PeeKkseRiaA9G4y7k71bt5Lerdg6acOagwL4AylAI48aUFVyNm+CuW+DGjRiWhDte+WGhyDKWnXeQJYkVs0fRHRUTu/yKREO3zpypZRhHd6NvX4d13+eQYpbDWf8Kj1zbNyHkQhypVlFPS+Jnbx/TmQo1L2EgFmE6K/Wxf8lskU0+P7N735f7ufKHCTdZdolSHiMi3vehq+kl9x4jwD2vwFffyVwGk2GozUzLosue27qkLsCcSi8bW8JsbQ0zS27q06Is9SicXuNnTVOQtc0hFtf6cctSnOjiFp2/hsktf8TQ7uD16V/l5dnf4bzNP2X7mBVEN/2FydXT2CUt5dWD3Swr8LSuk47kdjR1xbOpttLQcSu1lBZ2puwn5udY1TWeT1RNYUHT3+NukVFxNR5ZZFBNW4HEshKfFRJNADGJdKt1J1LHQQzZheUOIOkhceFoz4jjshFCBuLoaNzNf756hDf3dsczwT8+v5RrQn8WWdtkkpuyLPtnLlRMqr9Zyta9cNeyRO1gswY/mwi+iszku+slEaPzlcLT34C/fCZ3tzN2M1h9Z6Lc5e4LINRGnOBS3f5wJ6y9J73bn4XclaKaREfEkSBL6gJMKjXZ3RGl5L1HmZBD+1mFVwyqrj8Sor45yMJaP4qUQnSzbmRRqI1pa36HJSm8rv4rq2bexLlbfoE29lIkRcxinVaWvdWsPzhp3NUYxlX48dkV3u7UIbwFQlNHiL0t3ce0YnWGCkCmtlLtP5Wl7LLGcKRoKi6XB4wwVkcDRkwnDkFySlI5iZT6v11AZyle3FYUo3YW5vUvC5ULSUbICwvnN6OLmMGVLL5zEbM3/qiXqvGMnffYih5JBAciKTEUih79GTUYs4BC9vokOXHBt+8TQpzf2pNQV7lxk2j3MqLCbQ21i8+Wg0RSLyQrEve0iGLsZCgeGH+mGOsYQya3vw93Py7NpFtsagkxrdRNtU9ha8kCjlbMykn9pMbv4rRKL61hkw1HQvFC82TXdfWCW4nc3MapX3qUM8dVE/JU8uqsb6LOWIwxaSkWgjALjZPOkqsr9VFV5OFAWwi3IhPWswsJ5ovBbsxP7WX1hJpRgi1Y7gDGuDPjhb+SEcZs2YPSvIYoHmRPGUagBupmgOyPv58EmJVTcdepdEcMjMpSXDXT4Il/FQRgGmBmGdacpaaquqKcr809NZ7oMVPvqZ5i8Ro9PDTzEvK1CJMtIEkRRLX8FqidJdrMnrqxd2Ih1SWc9SGRUR5IR0TMTU4uzFY8wnrb/QocWJt4PJPbn4O7H5Nm2toaYWdnlLnVPt7UF7JhwvOcVefH55L7rCscXeQmasKW1nBcx05KsehWNwVZ7D7MjEcvxaxayurpN/C6fzpnlXnY2h5hW7vToD8gpBJELLgaKWCmdTCLjVMJdILUyNTOvbgiXTRYNdROuwRrRxeyJCG378fsPoIc6QJfNVgGUncj7GlGnrgcU3bFLTzDAq8iYVi2S7vvLXFRuAMiUTDzisyLykIcy+1/D6/Zh6enkRlHVyae9JbCJx6Bv3xaBNiPs3kJQG8LSLa/u5X/kXBvA1WJCz6dS1g5Gc7+asK9z7cjIrnFLobSMfDJv0Pju/DYl4SMFAASnHZ1+vfJkdyTpZlK3QoLavy82dhD/ZEQZ9T6Ufa/3WcZ0YQSN1HTYnu7mOc6vdzTm+j2N7N6w59ZHNWZ2fYWxqSfs7bT4s2mIEtq/Ywq8KQuOIlILp2FFbR1iZ7dfIibL59ZkPMUojE/E5IJdJzUzCO+H7Ger9FjyNw56md834pZShbILizZjTJtOfjHQLADDm4UllnXISgbjyQlYnceRZSdGK17+99RkAW3uu4joCe5aEYY7rtC/C8p/Z+X0N+5qLkgmwUU6ux9wecS78unIyJuFR4hHmAoqoHrVgqic/sTdXkAVVNg5gcG9HFj0kydSYmIuVXCAtvcsJ/T/vRRpBz+LiaXuomYFns7o7hlial2nK06dIgF//gs9aMuZfWMG1h8/jXMqRyF2RKivjnEW01BVoxXKClw9cNJQ3LpLKyYJePuoyboeEGcQO2ez1BER3J7qf7wL7h99AT2tIVo6gzx7t5uTLkEKKE56GFaRSmSpwSp8V0sPYyshzCtRELCRFhyph7BeOjqwnUU2AT0eOgpqpS23pPC9ST3S1b6T6aDORc1kwWUrm5w16rsLmE+7Whxq7Ap8Zi/HD56H/grxff/u/cR/wv2FMO1TxZEjl2RJBakJCKmKW1sr3+O0pLTmKRoff5dSJKw4KKmxY72CG4ZTrGOwN3Lqe5qYkG0h/oL72V1h5fF0n7mllZjWl7WHwmzpjnEsrF5ZMxzwElDcuksrLNvW8mBthDvnzN6mFbVDyS5RdHi8TD5PFyyDG0N7Gp00RGM0hnWKQl4MC0IR3URo+tpAT0i3C5vmUg4YMfkLAtvuA2r9QDRSLgwHQXQq9zFQMaVbtI9wJyP9v8CHeq5qJnqAbO5hK17hRBBrjePF34gXPg4LIj0wB8vh6nLoeHtpOHaMnziYWGhR0P5F0anQbI006b9h5j/8Pl0Vi9Dm/ABihdfTE0OfxeSJDG70ku0+yhb12/Es/EXjLaFT6vbt7Lg+c9Qf8onWB0+wuJAB/Mvvx0ZmbFFTuKhINjZ1MkvX9jO4XZhTfx21U4sLG44f2rOUktDOai6F5LcIl3xwY6VuF54EDo0xs37BkXVn6K6roRD3VFMwwBLwgp3wt43kSwDy12CXFJja82JnlZDj+J56YdYk66l3VPNjU2fYNfPVnHD+fu5ZtnC/l84KeUuN84McsWeHyYsnUAVXP8iVEzs/34UQgkkF7TtE328Wx6zA5eSSEDofQhx9qf42FNEb4kFEomHbc/1flxxwwMfEW7xnKvgQ7+lEKj0KUz3dLJ1zTPsLJ7D7MPP0H3GjWzs8rDE1UBRad+dJrIkMW/T7axttdg07gpckQ5qOreBZVLdtoUF+r3UT/okq61yFv9qHvM69hU23BBbR0He5QRC1DC54PZXeGrToV7CmXe9sovr71ub5ZW9MZBB1e3BKN/52yYu+K+XmfrdZ5j47ae5c9XO3E6cFCfSTcDUcYfbwIiwcm8En1tBHV2CIovLxKe3w/Z/CmJRvFjjFyNJCTEmSbKwuprxde0XTf1KCXe5fsHz3pv42FsfzL+jIAlNi25i7xc0nuFcdllj2OqZjWXYI+gkJfeJWflgsOaivvhjePfviWJDWYHdL8Gd50DnofSvyVZ8nO3zXnZ7fNBPnzDCQtTUjMKBdfl9pj4w4fXvM7bpDXaOXk5L0WTmP/VhpI0PUf/CH9CfSZ2lkR6Kv4zTD/6dkklnsP4Df6f1yodEdliSqY40smD3A/ToFqvrLifiKcuvzCZHDLslp6rqUuAvwOc0TXsqzfOHAC3poeWapvW77kPE5mRCKRlV08ov+zmQXtgBiQUkuUXv7DzKn9Yf4t+DKrpuME4q50LTQrI7HDxWlEWHHqK1ZDKSuwhp0jlILn9cfSTWCWHKCt5omygS9gYISLbVYJFfR0ES0iV6zt5yK2BiSWIOLPclBcrLxsG1TyXu3vkmFNr2wT+/B1ueIO6IP/cdIZQZPDowC6FtH2x7tvdjpv19hzvhz5+E61ce+7qBSCSlur8dB22J98bMr5l8Xt+fJRfYey9tfZyZepROby2bxlzOku2/Zd6u+1g7+bNsLFNZkKRNmBHLb8a1/GZON0zebgqyzr+UxYGxlHbuhkg31fpeFux+gPpJn2L1lM+xeMoUPM9+raDhhmElOVVVpwBfB17L8LwEHNQ07bxCndOlyLz3o0viv8ficl9eOoVvXTI95/cZiNpIocQCqoq9jC0PsOCcyfzfa7tw21O5kMAt6cyUduHTO4TVMeEMkCSsaA+S4iFmxEtIWMW1eL/4EuzuJDTjbs7+wxv92pNkpCZ6JkiNLGZLotsiNT7Xvl/cvWPJgnwTCit/KGZRJKPjgPjf5R9YQuK1X/Uu40hdf6bZEYVqR4MkwvQkylkgd025fJC094rLzYKGv/DGlOupn/Z5zrrkS0w3i9naGmFHR4RpZd6c3tJrN/S/vX0nayd8nDO230nR/Ktg0XVUH9rEgpX/Sf0pH0fTK5iTXJpTAAy3JXcIuBL4Q4bnixASWCMKhZJjKvW7OffUGi4YV8Qjq/ficiWiD7XWUTxEYyOkkfa8joQMsgepdBTUzRX2jt3upQBIECnQ7MteiZ7WvfD7r0CPIabbz/oQbHwoe7Ign4RCWwO8ZzsBnmK4+kF4+/egPQWSC878F6ib1f+ERLq1PPZFUcIhu+Hcm9K/rpASSYUkzL6Q8nl9hzYx74XbWDPxWja9u5Z5Cy/oNepwVCA3GvF37GHhsx/j7fFXs3bONzjjguvxud1QPY3q57/Hou13U2ycWfBww7CSnKZpPQCqqmY6pBioVVX1r8AY4M+apt0xRMs77hFTDYl1p8VKYSQkTEnBZYYFiZm66OGSZMCNJCnISFiWsOcM8SIUIGwUhuTiSBd4r5iYmLsA6ZMFuSYUYnGvqD1s5+qHRBHuJbfBwXUiXmaEYM6H+5+QSF2LrIieURBkUKBawqwosKZcVqTZ+8rnv8f0A0+yte5b7OrUmVXppVs32dQSIuDyU9pXbZudlS7uaeH0w0+y5tK/svZIlMW1LjwHRJFxBYgbU4FrNIeM5FRVvQ64LuXhWzVN+0eWl/UANwMPAG7gFVVVX9c0rbAR1hMUuiVmO8TiIi6XiH91R6I0SjVsjZawZezpTB9ficclxxWDJUlCMi2ihsXh9hAREy64fT3nLZ5CW3sBK85zVf3IJVmQ6ZhMcS8jkujaGH9G4RISrXvhzvOIZz+X31qQ+rRjkC0mKSuDVwCdDvbeTQi20V7iZ0d7hBK3nNCgOyIKhz2ZesFTbnTln7yfBf4q1jWHqN93gIWPXIMrNhnOsq39gdZoJmHISE7TtLuBu/N8TQcJVzasquoLwGmAQ3IIqfNkwUxFkWjrjvDPA21UVhShGwbvHOhmf1eUioCbs6fViMZpW32kO6LT2hPB63HhUmQM0yrsIJFcAu+5FMlmOyabGwdQcYoo9bh72cAthLYGEfwP2/G5qqmw4FP9e6++kC0mOf1y2JD63NMii+4vF2RSKOJL2nupdjqzZi6iqzkS74iYX+1jdVOQDS0hFtb44uIQcWS40VWFDjFXjrB+80rWj76M03c/gGzpoqyoEDWaSRjumFxWqKo6B/gG8BmEN/U+4K+FeO8+J7wPwXska9vd+Ur+2na6acUH2ICIg1lA1M78GaZF1DRtNZKEHImEiMV5XTIlPhd+rxu/R8E0TSImA9qTXugrjpSLIGdfx6S6cbHC254Wcfzl/wP3rBh4F0csuxk8Kn73lcOH7hSP90eduC9ki0m2Hzj2ub9dJ8pIeloK1/mRZu8VxcWCapk3GoOstzsiZlV6eacljNYWYUZFSiIio6UdpU5WmF0yk80TrmTThI8w9+ATSANVfU6D4c6uXgrcBEwHTldV9Suapl2kquq3gVWapr2pqmoL8DYinfWkpmmrB3reQiiFDPQ9mjpCrNlzNN68H0Njx7H1U5kKj+dNH00oosdlnVyKQrnfzRlzx9ASsbhgSiVlXpnGHp2AW6YrkrDSZAk8isLEqiJ6dBO/W8E0LRo7Q7TbklADVk9JJaBkF2zN72H1XYAlCCPd3TvfQtrU4z96H/z5E4WZC/HMN+0+Uht6SHQgDEZ2E7LHJEfNhGsf6/3ck1+BSJfQ5rv4toF3fmTZ+14dES0h5lf76IyY7OmMUuKWGVecdEPMdqMzo4xr20jUFUAb+35c6Mx66GMi/FLAfR3uxMPTwNNpHr8t6ec0QwcGhkIohQzkPWIE6bXjZKYl/gE8u/kwt1w+q9fxmerqIobFL5/fxu69RzAsC0WRaO2J8MymNk4ZXca0Mk+8djXZdpGQkCzL7ngQBp4iS+iGicslE8s9FHJUI5DkgrkSg2xAWCDhrt5373xVfFOPf/8v4JFPQneL0HUbiIXQcRB2vtD7MT3pZlTo7GY6ZIsp7ntLkII7AAs+LUhvIJ0fOex9pU9BLffwXmuEnR1R1HIPnVGTLa1hit0y5TFduHQJk799Ed55JP53MKn5NaKKn111S/GE2zj1sL3XBdrX49pdHSwUQilkIO8RI8hg9Nia5nRiAZnq6nTLQrKsONEqioxumBiWhSxJuGQxjcsCZFmyZ63aa4j1rtr/y4qMYZhMqimm/taLKHEPQjA95oLVzhL9l7FAc6RbuIKSlLh7Z4vnTX+/iDklB969JaLfM3b8o9clBuWY0fxnlSbjhR+IeF6mGrXkTPFgIFNMMrUAWpKF1TbqNFE03N9ES45FzKfY0kw72iOUemTmVvl4s7HHTkTYGnTpkGzd2Zh2+HkM2U3l5MXwpUfzW28fOClJbriRTSzg0jRiAT63QlWxhyc2HIjH8NY3tLJwzjh+duVpzKwUcZCHd7SjR0KUt+ygwYzgfvnXmC4/1J2BMn4WUAIILomNmJZsU06Rpfg82rBhUVJ4Wa+EC/bU16HhrQQJQWLs3/oHxEWbTVq8eRs0bekdeI81rKd1i3TxL4Z8LYShrFFLRbaYZGoBtKSIzow9rwjC62+iJcfPK0kSsyq9dEVNNraEOKsuwIIaH281iozr4johg94LbftE8XRxXa/MsLTix8wYjMwwDsmdEEh2V2MIRU10C5INP8OykNv3Yh7di1RZgWLpGJaJ1dmIa83rWAv+zR7m3Hv2A4Asy+i2hRgpdK1cKmIuzL63hKZcjIRkt5hbkCwtnqm7ob3h2KC8BVzwg8IrjwxljVoyssUk0xVAd7fYQppd4vH+lmLk8XkVSRIzIg73xKWZ5lT62HAkxLtJ6sBxDKY0VgY4JDcIKLRCSbK7+ssXtvUaTJNcQqKb4JUVDJcfimtxn3UD4fYjWAc1lGgPtO2Hyknx5nwLMAwL3RTdrFHDQDct9rUGKVHoX0Y1VyS7YIEq8cd+2S9zk0saKuWRXDAQ0c5sr3V5M8fFDB3uXXFsAbQrkLBYXb6Cl2Jkgt8lM7/a3ysRMaXMLRSGPTITS5KG0wy1NBYOyQ0KBtSAnwbJbWD//cI2DITlBYluB9MSRCVXT8WsmYoUMnCVBLC81VhNe5GNIJYRSiojkTAti3V7Wykv8RE2LGTD4khXmFueaKDSZWXPqA7k4k51wb64qvfFmC9pDZbySC6IWSaxFE5sROD2fwgZqdFz+35tOqtmyrLMcbHSscc+Z5m9kyFnf1WQ4r63Yd29sPPFvr+nAXynqYmIqaUeuqImWpsoHK6KDY0ehhvUSSe1NBSIWV5fu+DUPgdZ93eyl2xbcDFLTjcF0cXkzAFcCpjtB7EMHUWSsHyV8WRDzACUJEmoBAOmaRHVTSRF6jujGrtAe47mN4kql7KQfEgr2SKsOGVoWqyS4a+wQwBCch7FtlpMHf5wUfa9iFk16aZhdRzKMlnMf+xzyQSHBG/cISZy3XMxbPxTbt9Tf79TG6cUuxld5GJHe4TmkMGcSh9FLpkNR0L0ZBKhGIIblGPJDQJybcDPp9YuVngci5bpJnSGo4SjLsCNYVtyiiQRtd/L3d2ItfVJ8I9F8ZdAcW38/SR7HuGZkytpC5tcccVsLGBfZ5TPLBzLotrERK+06I/bkUtZSD4y4bkUEw82ss1INaLZXbBsVs240+Hz2Toek9C6F369KEkNxRLEF4Pihit+0/f3NEBXMqYG3J2ciKj28UZjD/XNIc6s8/cqXs/rux4AHJIbhxwbwgAACJBJREFURuRaa5dMhjErraG1h2c2HeLJrh7uu3YhumUlEgkmSEYU13PfxCxfiKn4cJ31FaygFD+vZCX9LMX6YCVkOUclkv64HX2VJpz7zdxJqz+Ku4OF5L3Y91bCqrKM/Fyw/lg1sX0wIrkpLWf7ngrgSqZLRMyr9rG2KcQ7R0PMq/KJRMQQ3qAckhtG5Fprl44MkcV0rVgtkmHa9W6ApQeR2vahBI9i1fixxp+BHKhACokBNrIUq4+LCaCLFjGvIiFLUv+USHK5QLNWv5u5k1a+hcJDhbhlEkKI+vlzJ6v+WDX92Yd8iLSfrqTfJZr31zYLYptf7Wd6uYf32iLsckeZYjUO6Q3KIbkTAC5FZtVN5xGMGnz0d2/S2BnmIrWGjyyewKRyUSMXcMksqfMTCB/FeOlbhAyJ6tB+PDMX0V2kU2M046kox1LcBFyymNta7EHGolu3GFfkwiXLVPkUApmKODMh1ws0U2lCrC8014t1IIq7g4VeM1JtlyzXGGF/rZp89yEfIh2gK1nlczGzwovfJfbilBIxpnCUcQTuGdoblENyJwDSxu7q9/Po2oZ47M6jSMyq9MHffgANT4kguOwi8MgHxZuYOqU5EEClL0+XoRBuR74X63AW56ZDphmpuezFQNzufPYhn++pQK7k+KQeVkmSOLXcK/4+h/gG5ZDcIKEQKicx5NUnO5QEUKi4WL5rHq7i3HToa0ZqTq/tp1WT6z7k8z0NdqxzGG5QkmX1I/5ynEBV1YnA7pUrVzJu3LjhXk4cUcNE/d6zccsrFDUJeBQM0+q/osfxhvhglSZxMX78YVGQCsMbFxtq/O2LsOlheo0QVLziQp5xmSgLybQXyY3qgzW3IZ/v6QT+Tvfv38/y5csBJmmatif5OceSGwQUQuXkuMfxGBcbDmSbkbrlcfF8pr0YCqsmn+9phH6nI+SKO75QCJWT4x7HW1xsuBBzF9emmcVkmdn3Yijc7ny+pxH6nTruqgMHDk54ZHNXnbYuBw4cjGg4JOfAgYMRDYfkHDhwMKLhkJwDBw5GNBySc+DAwYiGQ3IOHDgY0XBIzoEDByMaDsk5cOBgRMMhOQcOHIxoOCTnwIGDEY0TvXdVATh8+PBwr8OBAwfDiCQOOEb47kQnudEA11xzzXCvw4EDB8cHRgM7kx840UluDXAOcAgw+jjWgQMHIxcKguDWpD5xQquQOHDgwEFfcBIPDhw4GNE40d3VIYWqqkuBvwCf0zTtqTTPHwK0pIeWa5pWUDc6hzVcA3wVMIE7NU27p5Dnt8/hBv4POAURJvispmm7Uo4ZtL1QVfWXwJkISd4bNU1bk/TcBcBP7HU9o2naDwtxzjzXsB5oTzr8Gk3TDgzCGmYDjwO/1DTt1ynPDck+5LCOIdmLbHBILkeoqjoF+DrwWobnJeCgpmnnDeMaioBbgMVABFivqupjmqYdLfBSPgG0aZp2jaqq7wd+CnwsaR2Dthc2yU/TNG2JqqozgXuB5KGgdwArgAPAa6qqPqpp2pYhXgOD+Xdgr6EI+B9gZYZDBn0fclzHoO9FX3Dc1dxxCLgS6MjwfBFp0tdDvIYzgDWaprVrmhYEXgXOHoR1LAf+bv/8D+B9Kc8P5l4sBx4DsC/aClVVSwFUVZ0MHNU0rUHTNBN42j5+yNZgo2QQzpmKMPB+4GDqE0O4D1nXYWMo9iIrHEsuR2ia1gOgqmqmQ4qBWlVV/wqMAf6sadodQ7yGUUBz0u+HsctsCoz4eTRNM1RVNVVV9WiaFhsMMJh7MQpYl/R7o/1YB+k//5QCnTfXNQBUqar6IDAReAm4WdO0gmb4NE3TAT3D38JQ7UNf64Ah2Iu+4JBcGqiqeh1wXcrDt2qa9o8sL+sBbgYeANzAK6qqvq5p2rosryn0GqQ0vw/oDyrDOs5I+T31PAXdizTnynTugn/+fqwB4LvAg0AQEau6Enh0ENaRCUO1D7lguPfCIbl00DTtbuDuPF/TAcRGNoVVVX0BOI3ed/xBXQMi/nJZ0u9jgbf6c/5s61BV9f8Q1sJGOwkhaZoWTXpNQfciBQfsc8cwBmGppHtuLMLFLzSyrQFN034b+1lV1acQn30oL+yh2oc+cRzshROTKxRUVZ2jquofVVWVVFV1IeJU7w7xMt4GFqmqWq6qajEiHvfqIJznn8BV9s+XI9yQOAZ5L/4JfMQ+z3xEgqMTwJ7SVKqq6kT7vJfZxxcaGdegqmq1qqrP2OQPsBTYPAhryIgh3IesOB72Apxi4JyhquqlwE3AdES845CmaRepqvptYJWmaW+qqno74oI2gSc1TfvxMKzhI/YxFvA/mqY9WMg12OtQENbdNETg+TOapjUM1V6oqnobcK793jcA84F2TdP+rqrqucDP7EMf1TTtF4U6bx5ruAmRbQ4D64Gv2AmAQp7/dOC/ELGuKMJ6ewLYPcT70Nc6Bn0v+oJDcg4cOBjRcNxVBw4cjGg4JOfAgYMRDYfkHDhwMKLhkJwDBw5GNBySc+DAwYiGQ3IOHDgY0XBIzoEDByMaDsk5OOGgquqXVVX9TdLvP1JV9f7hXJOD4xdO76qDExF/BDRVVb+L6Kq4FDhreJfk4HiF0/Hg4ISEqqo/R+jWXQJcqGnazj5e4uAkhWPJOThRcQ+wFbjCITgH2eCQnIMTFbcgRArif8O2Iu7/A8o0TfvIcC3MwfEFJ/Hg4ISDqqr/DviAjwI3xh7XNG2XpmmfH7aFOTgu4ZCcgxMKqqouAz4LXKtp2ssI3bR5w7sqB8czHJJzcMJAVdUJCB27q2IilcB/I0YwOnCQFk521cGIgaqqVcCPgQuBuzVN++kwL8nBcQCH5Bw4cDCi4birDhw4GNFwSM6BAwcjGg7JOXDgYETDITkHDhyMaDgk58CBgxENh+QcOHAwouGQnAMHDkY0HJJz4MDBiMb/B/ea+ZQk0UU5AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "for outcome in df2.Y.cat.categories:\n", " plt.scatter(df2[df2.Y == outcome].X1, df2[df2.Y == outcome].X2, s=100, marker='${}$'.format(outcome))\n", "\n", "# Take 20 values from the posterior distribution and plot the lines\n", "tr_len = len(trace2)\n", "n_curves = 20\n", "stepIdxVec = np.arange(500, tr_len, tr_len//n_curves)\n", "X1_span = np.linspace(df2.X1.min(), df2.X1.max())\n", "X2_span = np.linspace(df2.X2.min(), df2.X2.max())\n", "\n", "# Prepare grid for contour plot\n", "xx, yy = np.meshgrid(X1_span, X2_span, indexing='xy')\n", "Z0 = np.zeros((X2_span.size,X1_span.size))\n", "Z1 = Z0.copy()\n", "Z2 = Z0.copy()\n", "# Calculate p based on grid of X1 and X2\n", "for idx in stepIdxVec:\n", " for (i,j) in np.ndindex(Z0.shape):\n", " Z0[i,j] = expit(estimates2[idx,0,0] + np.dot(estimates2[idx,1,0],xx[i,j]) + estimates2[idx,2,0]*yy[i,j])\n", " Z1[i,j] = expit(estimates2[idx,0,1] + np.dot(estimates2[idx,1,1],xx[i,j]) + estimates2[idx,2,1]*yy[i,j])\n", " Z2[i,j] = expit(estimates2[idx,0,2] + np.dot(estimates2[idx,1,2],xx[i,j]) + estimates2[idx,2,2]*yy[i,j])\n", " plt.contour(xx, yy, Z0, colors=color, alpha=0.6, levels=[0.5])\n", " plt.contour(xx, yy, Z1, colors=color, alpha=0.6, levels=[0.5])\n", " plt.contour(xx, yy, Z2, colors=color, alpha=0.6, levels=[0.5])\n", " \n", "plt.xlabel('$X_1$')\n", "plt.ylabel('$X_2$')\n", "plt.title('$\\lambda_{\\{1\\}|\\{1,2,3,4\\}}$ \\n $\\lambda_{\\{2\\}|\\{2,3,4\\}}$ \\n $\\lambda_{\\{3\\}|\\{3,4\\}}$')\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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11VfTuXNnhg0bxrFjae+bUlJS6Nu3LyNGjDinskpgKGGTkLct7jP+/HktPSe+SZ8p7+BKSeHnhW9lGH1yxYoVzJ8/nzlz5rBs2TI2bNjAhx9+CMCsWbNYsmQJS5YsYfHixVStWpVevXp51k1JSWHMmDFUrFgxoMcmIvnT5s2b2bXu6yznL1iwgE2bNrFo0SIWL15MYmIi06ZNS7NMZjd1gwcPpkiRIj4vr4gE3tmMkh2/fy+r33iOadOmce1zcylapjw/vDstw3InTpxg+PDhPPnkkyxdupR27doxZswYAM/9znvvvcenn35KREQEr732Wpr158yZw4EDB87quCTwlLAJf/zxB+3atWP69Ol07tyZzp078+OPPzJo0CAuvfRSRo4cCcCnn35K9+7d6dKlC7fccgu7du0C4NChQ9x222106NCBQYMGpXmK8/vvv3PzzTezYFg/PnioP/u3/prn8pWpUYdLbn+Q6JjCRERGUqVxc478tcsz+mTqvxcWfkHJC2N5ZVsSUzYe5aabbmLZsmUZtvfuu+/SuHFjGjVq5Jk2Z84cGjVqRK1atfJcPhHxHV/Ho6OZxKPOnTvTo0cPfvnll7Mqo8v9gKfF9YOyXGbLli20aNGCmJgYIiMjad26Nb/99ptn/ubNm1m9ejU9evRIs96QIUO47777zqpcIpJ3/rwH2rFtK5f1up5Wl3ekTcereXD+N557lqzsWvcN1S74F9WqVQPg/Kv6sH31lxmWW716NTVr1qRJkyYA9OvXj5UrVxIfH0+9evWYMGECJUqUIDIykubNm6eJP//88w+zZs1iwIAB534CJSA0rL8ATsCpWLEiS5cu5d577+X+++9nwYIFREREcNlll9G7d29GjRrFggULqF27NjNmzODxxx/nzTffZPr06ZQtW5YZM2bwxx9/0LNnTxo0aEBKSgr3338/t9xyC1vrX8Hf9me+eGYEfV9cwKYl89nyxYcsLxzFwYTTnnK0/b+HqNqkRZqylavdwPNz4ol4dnz3FfUv7ZLxICIicKWkeD4WL17cE1A96ycmMn36dN566y3PtH379jFr1izmzZvHkCFDzvVUisg58nU8+qdEdeK//4cPR9xL4y59uaJDD/62PzN48GCufu49TzxK74qJT0JMvQzT7ecf0rBhQ07Xb5LlMVx88cW8+OKL3H777RQpUoSvvvqKSy+9FACXy8WYMWMYNWoUcXFxadZr1qzZOZ49Eckrf94D1W/fh4bumON9D9Rl5Mdp7n/AuQc6umc3JStX90wrWbk6p44cIiH+KIVLlAKcmrsdO3ZQs2ZNz3LFixenTJky7Nq1i4aNzic6MsIz7+uvv6ZVq1aez0899RRDhw4lMTHRX6dUfEwJmwCQnJxMly5OEtSwYUMAypUrB0DFihVZs2YNbdq0oXbt2gD07duXp59+mqSkJNatW8egQc6T5ho1atC6dWsAtm3bxq5du7j22muZ/NNBKpsLKVKqDP9s2cAF3fpxQbd+jGheIdsnTd5W/HcMO9d9zXmXdKL+ZVdnmF+taSvipk2kSdfrKVyiFPPmzSMhISHNMosWLaJp06ZpgtxTTz3F4MGDKVWqVF5OmYj4ia/j0SHgyF87Obr3Dxq07wZAZXMh5cqVSxOP0mvTvAJfpYtPJw4fYOOn7/LChwuYvHpXhnVSdezYkc8++4zY2FgKFSpE48aN6du3LwBz586lfv36tGjRIkPCJiKB5897oEu8Yo73PdCI/wzN9P5n6zdLKVKqrOdzVKEYiIggOeGUJ2GLjoxg2bYDxMeTZhsnIwox/ac9PNe4sWfaK6+8woEDB+jfvz/gJG9Hjx6le/fuvP/++z44exIIStgEgKioKE+/icjISIoVK5ZmXkxMTJqEpmTJkrhcLg4fPsyRI0coWbKkZ17qckePHuX06dN07drV8xQp8eRxEo4dybYs6+a8wq61Tt+Qri88CzjNAi6/dwzJiQmse+dlVrz4BI/OfCXNejWaXUzjLn1ZOv4+YoqXZGCvruzZsyfNMh9//DE33HCD5/M333zD4cOH6dmzZ67Ok4j4n6/j0SEg4Xg8rtOn+eDBmzzzYpJOUi0P8ejSwaPY+Mm7NLv2VkqXLp3tem+99RYHDx5k7dq1FCpUiLFjx3qeas+cOZO5c+fm+nyIiH/58x7IO+bk5h4oukgRTiedqflKTkwAl4voIkXTLVeU00lpH0qfTjiVZrlnn32WuLg4Xn/9dYoVK8apU6eYPHkyL730Uo7nREKLEjbJlfLly7N+/XrP5yNHjhAZGUnZsmUpVapUmjbbBw8epGbNmlSqVInixYuzZMmSDE+RNiyem2WTyJY33E3LG+4G4MILK/DarKUULV2WsjXPIzqmMA079OTTMYMzLWfTnjfRtKcTHCvsXIkxxjMvPj6eH3/8MU1H/88++4xNmzYRGxvrOa577rmHRx99NM2gJCISOvIaj6hUnmJlK1CoWHH6TJnjmZdaw58aj9K7YuKTaeIRwO4f4ti78Qdi577MsYRkEuOPMvfOHvR9cYHzJNwtLi6OTp06UbSoc/PUpUsXxo8fz6pVqzhw4ADdujlP3U+cOAE4TbPHjh3rozMkIr50LvdAvb1iTqoNi+dm2SSydLXa7NmwzjPt8B/bKVq2PIWLl0yzbOlqtdi28kw//VNHD5Fw/BilqjgtiKZOncoPP/zAW2+9RYkSJZz9btjA3r17ufHGG511Tp0iKSmJgwcPZhgUSUKLEjbJlejoaNatW8fu3bupWbMmc+fOJTY2lujoaC68qBmff/45HTt2ZNeuXXz//fdcdNFFVK9enSpVqrBkyRKo3JJTRw+z+s3niB00Ik9NIv+xP/G3/YWOD00iqlAMu79fSdlaGfuV7Nn4Az8umMFVjz5HSlIib775pqezMDjNE8qWLesJXABjx45Nc5PUv39/hg4dSps2bXxw1kTEH7KLR82aZYxHDa9uQImKVSheriI7Vn9FnYuv4NTRwwwf/hRl+96fpyaR/d/8HHCSvceW/sKSsUPp++KCDOvWrVuXr7/+mj59+hAdHc3y5ctp0KABPXv2TFOjn/oA6Z577vHlKRIRH8przPG+B/KOOd73QFk1iSxVtSbr501n+/btQEk2LXmP8y7plGG5qk3+xcqDT/H35p+o3OgiNi2ZT80Wl1CoSFE2btzIwoULWbhwYZp7npYtW7Ju3Zlk8P3332fNmjUZXnMkoUcJm+RKlSpVGDduHIMHDyY5OZnq1aszbtw4AO6+606uvWMo/2rXntLVa1O15WWs3HOC4z8e4Pw7Hmf27OexfzwLEZFc0O16CqWr1s/JBT1u4sSh/7Lw4VvABcXLVyJ2kPPekJ1rVrD7hzja3fUolc+/iFJVa7Fg2PVERERy36Db0iRee/fu1bD9ImEgu3h05513cv/999OhQwfq1avHVVddxQ4gIiKCy+8dy7evPc0P86ZBRCQP3X07W/MYj7Kzacl8Th05SIvrBzF48GCeeOIJrr76aiIjI6lTp06ONWj79+/n5ptv9nzu378/UVFRzJw5k8qVK/usnCKSN3mNOeDEnClTpnDbA495Yk5u7oGKl6tI2/97kCFDhvDP8QTK12lI877/B8C+3zfxw7zpjHhvFtExhWl/71i+nTGF5ISTlKpSg3Z3PwY4o2EfO3bM028WoHr16rz++uv+OD0SABGpLxYOgqDtWHwvu1qy7GrRcqphO9d1JeAicl4k5Ck2hRnFHyE8YhMoPoWU5BRXmtEYM6P4I7mQY3xSDZuIiIiISB6lvg82K0qcxFf04mwREREREZEQpYRNREREREQkRClhExERERERCVFK2CRsJadk3Tc7u3kiIiIiIqFCg45I2MquM7A6AouIiIhIfqAaNhERER9TDb+IiPiKathERER8TDX8IiLiK6phExERERERCVFK2EREREREREKUEjYREREREZEQpYRNREREREQkRClhExERERERCVHnnLAZYyKNMbV8URgRERERERE5wxc1bBWB7T7YjoiIiIiIiHjxVZPICB9tR0KUXvQqIqFIsUlERMJdli/ONsY8nsttlAD0jRnm9BJYEQlF2cUmUHwSEZH8L8uEDRgNnHb/ExERERERkQDLLmF7EugHtLLWHs1qIWNMFeBPXxdMRERERESkoMuuD9sYYAcwO4dtqDmkiIiIiIQd9ZOVUJBlDZu11mWMuRG42RhT21q7M4tFE4Gv/VI6EREREZEgyY99+JNTXERHZj4eYHbzJHRl1yQSa+0B4IUcljkEXOHLQomIiIiISN7lxyRTsuerYf1FRERERETEx5SwiYiIiIiIhCglbCIiIgGU3SAGGuBARETSy7YPm4iIiPiW+peIiEhenHMNmzGmpDFmqC8KIyIiIiIiImfkuobNGBMNNALKeU2OANoCo4EXfVs0ERERERGRgi1XCZsxpinwEVAri0Xe91mJREREREREBMh9DdsU4EfgVmAxcAuQAtwMHLDWDvJP8UT8I6cXR+rFkiIiIiISCnKbsP0LuMRau9kYkwKst9ZuAz4wxrxgjHnSWvsf/xVTxLey6/QP6vgvIiIiIqEht4OORAIn3D8fB8p7zXsR+D9fFkpERERERERyn7BtBu4yxsQAFrjda14DoIivCyYiIiIiIlLQ5bZJ5CRgHjATeAmYa4y5CvgTaAks8E/xRESkoFOfUhERKchylbBZaz8wxjQBdlprrbsfWz8gBhgHPO/HMoqISAGmF02LiEhBluv3sFlrt3j9PB+Y75cSiYiIiIiICJBNwmaMmZaXDWlofxEREREREd/KrobtKsDl9bkcUBI4DMQDpd2fDwC7/VVAERERERGRgirLhM1aWyf1Z2NMV+Ah4D5r7c9e09vgvFR7vB/LKCIiIiIiUiDldlj/ycDD3skagLX2O5xE7mlfF0xERERERHwnOcV1VvMkuHI76Eh9nGaQmTkMnOeb4oiIiIiIiD9o1N38Kbc1bL8Bk4wxNb0nGmOq4zSH3O7rgomIiIiIiBR0ua1huw9YCOwwxvwNnMAZdKQckABc65/iiYiIiIiIFFy5fXH2l8aY84A+wPk4o0MeByzwgbV2j/+KKCIiIiIiUjDl5cXZ+4FpxpgyQDEg3lp71G8lExERERERKeBylbAZY4oBE4HrgQpe0/cAbwOjrbUJfimhiIiIiIhIAZXbGrbXgJ7AbGAtTnPIEsAlwL1AJeA2fxRQAiM5xUV0ZESwiyEiIiIiIl5ym7D1AG611r6Xbvp0Y8wy4FWUsOVr2Q3zChrqVUREREQkGHI7rH8isD6LeWuBZN8UR0REpODK6cW1erGtiEjBk9satreBm4Exmcy7zj1fJGxk10RUzUdFxF/U2kFERNLLMmEzxjzq9fEAcIcxpgOwGjgKFAcuBWoDz/qzkCKBlt1Nk26YREREwoMewkp+kF0N25OZTKsOtMtk+rPA8z4pkYiIiIhIAKhWW/KDLBM2a21u+7eJiIiIiIiIHygpExERERERCVG5fXH2hThNHpsBpTNbxlob5cNyiYiIiIiIFHi5HSXyDSAKp1/bQUDjCouIiIiIiPhZbhM2A7S21m7yZ2FERKTg0ShtIiIiWcttwvYTUMafBRERkYJJo7SJiIhkLbcJ2yDgOWPM6zjJ24n0C1hrd/myYCIiIiIiIgVdbhO2esAFwDuZzIvA6dOmQUdERERERER8KLcJ2wvAL8BQNOhIvqV+IiIiIiIi+UtuE7aKQEdr7VZ/Fkb8K7t+IuojIiIiIiISenL74uxlQHN/FkRERERERETSym0N29vAKGNMO5ymkSfTL2Ctzax/m4iIiIiIiJyl3CZs893/X5TFfBeZD0giIiIiIiIiZym3CVtdv5ZCRERERESCJqfB6TR4XfDkKmGz1u7Map4xphIwFbjeV4USEREREZHAyW5wOtAAdcGU2xo2jDGNgQ5AOa/JETiDkXT0cblEREREREQKvFwlbMaY3sC7OAlaJJAExLhnbwVG+aV0IiIiIiIiBVhuh/V/HHgSKAqcABrj1LTdB2wB3vRH4URERERERAqy3CZsDYCZ1tpknBEhI621h621U4EPgWn+KqCIiIiIyNlKTnEFuwgi5yS3fdiO49SuARwCagG/uz8vBSaHNos4AAAgAElEQVT7uFwiIiIiIucsu8E0NJCG5Ae5TdjWAlOMMTcB64AxxpitwF9Af5xmkiIFQnbD2mrIWxERERHxpdwmbCOBRUAZYAKwHNjmNf9x3xZLJHTpSZ2IiIiIBEpu38P2izGmrvvn7e4h/nvijBT5nbU2zo9lFBERERERKZBy/R42a63L6+ddwIsAxpgYY0xXa+0nfiifiIiIiIhIgZXbUSKzUxanuaSIiIiIiIj4kC8SNnBeqC0iIpIpDastIiJydnLdJDIH+iYWEZEsabAe39AotSIiBY+vEjYRERHxMyW+IiIFj6+aREoIUJMjEREREZHwkmUNmzFmWS63EeOjssg5yu7JK+jpq4iIiIhIfpNdk8gYctc3zQV87ZviiIiIiIiISKosEzZrbfsAlkNERERERETSUR82ERERERGREKWETURERETyLQ26JuFOw/pLpn7/+lN++ehtkk6epMr5zRj+yjMAbP1mKd/OeJZiZct7lv3Xow9Dheasf+91tn6zhNLV63DlgxOIjHIur0WLFrH689VcPPD+TPf1zctPUrJKDZr1GZhm+hv9Yhm4YgUQzXtDr8WFi+iYwrhSXETFxNB02BCo1gYgzfykUycpVbUmbe+7C0o18f3JERG/845BB2LbUKbv/UQViskQg5YXjqJu7zuo3fryLGPQ1pXL2Pf7xjzHIGMM1730AcXLV8oQg+JKFaVql5s475KOQMYYtKnBeZRs/29qNr/EfydJRADfDrqm+x8JRUrYJINDu7exZtZUek54g+LlK/H11CeYPn06XHI9CcePUfeSjsTe8bBn+U7NK7By+W/sXPs1fZ6fy+oZz7L7+zhqt76cpJPHmTFjBi0efO6cy3X50NFUbnQRAEf+2sXYsXfT/rGplK15Xob5f/2yjlGjRtHours5L7bTOe9bRAInfQzaP3siv3w0m2bX3pohBo1oXoGJ6/dz8sihTGNQfHw8Gz6ew9WPTz3ncnnHmOvLHOOaf19H2ZrnZRqDLj/1G4OHP0Srm4YoBonkE7r/kVClJpGSwZ4N31O1yb8oUaEyERERNO56HcuWOW95SDp5nJhiJTKsc3TvH5SpUYfIyCjK1WnI4T93APDDvNcYOHBgpuuci9LVanHxxRezZ8P3mc6v1rQlo0ePZu3sl3C51FRCJD9JH4MGDBjAzjXLgbzHoP/+979c0K2fz2NQ3bp1qXpByyxjUNu2bWl72wOKQSL5iO5/JFQpYZOMIsCVctrzsVCRouzatQuAxOPH+GfLL3z8nzt4f/gNrJk1lcTERCIiI8AdGFwpKURERnFw11YO7dpKmTJl+GzSg8RNm0hyYoLPipmcnExkoUJZzr/iiitIPB7P0T27fLZPEQmAdDGoWLFiHN37J5AxBk2cOJHTSVnHIGstMSVK+iUGpZzOPgbVbBGrGCSSn+j+R0KUmkRKBtUuaMkP707j0O5tlK5Wi1+XvU9CghNoytVuQOGSpWl89XWcTkzgi6cfYdq0aZRu1o1Du7eRnJjA3k3radihB9/NfJ42A4bx9NPjaP/YK/y6dD7b4j6j4RXdM+xz06fvsW3l0lyXcf92y7p16+jU6+4sl4mMjKRQkaIknjie95MgIkGTPgbNnj2b00mJQMYY9PMr/yEl/m3O79I30xg0bcIYbhl8H92fnO7TGLRx40b+/vVH2gy4L8tlIhSDRPIV3f9kLznFRXRkRJ7nyblTwiYZlKlRlzYD72f5C48TVSiGBu27UbJkSQDqXdrZs1x0TGEad7ue5Z/NpWVsP87vfC0fjbiVyo0u4sTBfZSvYyhSqgzFixenUJGilKvdgN3fr4RMAlbjq/tm2unW24oXn/B0ui1auizPP/88K4pUyfI4Tp06xcmjhyhSquw5nA0RCbT0MWhI/+uJKe40K0ofgwYOHMgTz79Ms2tvyzQGlStXjkJFi/k8Bv1cvRLthz1JiQpZx6DkxATFIJF8RPc/2ctucJe8DOwieaeETTLV4PKuNLi8KwB7f/2Rhg0bAnDs7z8pXLL0mTbZLhfR0c5l1KhTbxp16k3C8WMsGXcvXUe/SNLJE2c26nIREXn2rXC9O9UCtG1egRXZjAq1dOlSSlWuQclKVc96nyISHN4xqGHydk/n+vQxyOVyeUZkyywGpaSknNmoD2NQ6mAn2dn53XLFIJF8Rvc/EorUhy2fCcS7Ro7u/YMPHxlAwvFjpCQn8/PCt+jTpw8AP30wk3XvvIzL5SI5MYHNny2kffv2adb/4d1pNO15E4WKFqdImXIcOHCApFMn2Pf7JkpXr+P38gPs2fgDTz/9NK1uHhKQ/YmI76SPQa+++ir13TdQ6WPQnDlzqNG8bZr1vWNQhQoVOHXkUMBj0Hfffcfad15SDBLJR3T/I6FKNWz5TCCqo0tVqUGtlpfy4SMDiCCCurEd6d27NxPX76fVzUOJmzaRBff3IyIighrN2nLbbbcxZeNRAA5s38LRPbtpe9sDAERGRnHnnXcy6eEBFCtfiY4PTfZJGTOT2mQg6eQJipevxPjx4/lW7yERyXfSx6Ab+/QkyZ2wpY9Bva/qgKvjDZ5108egqKgoLux1Cx8GOAb9UKs67QaNzJBMikjo0v2PhColbJKp5n1vp3nf2zNML1yiFB2GP5VmWkxMjOfn8nUb0vmx59PM79u3L1vrX5Hlvi4d/J9Mp986N44qVSrAnv30fXFBtuXNbP7lzSvwbQ5NlkQkNHnHoAe8mh+mj0HpmyZmFoMaduhBww49stxXVjHIWuvZdl5jUG6aTIpI6NH9j4QiNYkU8aGcmqwGokmriIiIiIQP1bCJ+FB2TVZBoyhJ+NKQziIiIv6hhE1ERM6ZHlYEX05Js5JqEZH8SQmbiIhIGFDSLCISntSHTUREREREJEQpYRMREREREQlRSthEREREROSsaZRs/1IfNhEREREJaRo0J7SpD61/KWETERERkZCWXUKgZEDCnZpEiohIrqhJi4iISOCphk1ERHJFT7hFREQCTwlbHrz99tuMGzcOa22m86dNm8bChQs5ceIEnTt3ZsSIEURERBAfH8+YMWPYsGEDLpeLrl27ct999wGQnJzMuHHjWL58OREREdxxxx1cf8ONaqcdxt555x1mz55NcnIyNWrU4Mknn6Rq1aoZlktKSmLKlCnMmDGDFStWUKVKlQzLTJo0iaVLl/Lll1+mmX7ixAm6d+9O7969ueeee/x2LBJ4v//+OyNHjuSff/6hQoUKTJo0ifr162dY7ttvv2Xy5MmcOHGCatWqMWHCBM81dODAAR588EH++OMPPvvsM886/fv3Z9++fZ7Phw4donfv3owYMcL/ByZ+s3nZB/y6bD5fRZNtzFm4cCHTp0/n+PHjtGrVivHjxxMTE0NSUhLjx49n9erVuFwu2rRpw6hRo4iMjKRbt25ptrFv3z6GDRtG//79A3V4EkCLFy/mlVdeISkpiYYNG/LUU09RsmTJDMstXbqUl19+mYSEBMqWLcsTTzxBw4YNmTx5cprvq1OnTlGuXDnef/99zzR9f+Vvf234nrVvv0hywklKVKhMu7seo3j5SmmWWbNmDU8//TTHjh2jaNGiPProo7Rq1QqA//3vf3zwwQdERERQr149Ro8eTcWKFQv895OaRObSP//8w7x587Kcv2LFCubPn8+cOXNYtmwZGzdu5MMPPwRgypQpFCpUiE8++YQFCxawaNEi4uLiAJg+fToHDhzgyy+/ZP78+SxevJj4o0eYuH5/pv8kf/vhhx+YMWMG77zzDkuXLqV+/fpMnDgx02UHDx5MkSJFstzW5s2b+fzzzzOdN3XqVJ+UV0LL6dOnGTp0KHfccQcrVqygf//+vPfeexmWO3HiBMOHD+fJJ59k6dKltGvXjjFjxgBw+PBhbrrpJho2bJhhvVmzZrFkyRKWLFnC4sWLqVq1Kr169fL3YYkf/W1/YcPH79B1zCvZxpwtW7YwYcIEXnvtNb766itSUlKYPn06ADNmzODgwYMsXryYjz76CGst8+bNIyoqynO9LFmyhPnz51O+fHk6d+4c6MOUAPjrr78YN24c06ZNY+nSpVSsWJHnn38+0+VGjx7Nyy+/zJIlS+jSpQuPPvooAA8//HCaa6Z9+/b07t07zfr6/sq/kk6dZMV/Hyf2zhFc+9xcql3Yhm9ffybNMqdOneKee+5h9OjRLFmyhCFDhjBs2DBcLhdxcXEsWLCA9957j08//ZQ6deowadIkQN9PSthyafz48dx1111Zzl+1ahUdO3akdOnSxMTEcOONN7Js2TIAOnXqxL333ktkZCQlSpSgUaNG/PbbbwAsWLCAO++8k6ioKCpUqMA777xDmTJlAnJMEnily5Zj8uTJlC5dGoCLL76Y7du3Axn7Bw0ZMsRTE5teSkoKY8aMYdiwYRnmbd68mdWrV9OjRw8fl16Cbf369URHR3PVVVcB0KtXL0aOHJlhudWrV1OzZk2aNGkCQL9+/Vi5ciXx8fFERETw8ssv06FDh2z39e6779K4cWMaNWrk+wORgClauiyXDnmcwiVKAWljjrfVq1dz8cUXU7VqVSIiIhgwYIDnO6xVq1Y88MADREVFUbhwYVq0aJHpNl555RWuueYaKlWqlGGe5H9ffPEFbdu2pVq1agDceOONfPrppxmWi46O5tlnn6V69eoAtG3bNtPrZcuWLaxdu5YbbrjBM03fX/nbno3fU7JSNSrUNQA06tSLP3/6jqSTxz3LpNbYX3DBBYBzfezfv5+jR4+yZcsWLrjgAk+t7cUXX+y5X/ZWEL+flLDlwtdff018fDxdu3bNcpmIiAhSUlI8n4sXL86uXbsA52JMbX4SHx/P+vXrueiiizh+/Di7d+/m559/5pprrqFnz54sWrTIvwcjQVWvbh2WRdRi4vr9PPndn0x6az5FmrRl4vr9GZrBNmvWLMvtzJ07l4YNG3LRRRelme5yuRgzZgyjRo0iOlotnsPN5s2bqVatGiNGjKBz584MGjSI3bt3Z1hux44d1KxZ0/O5ePHilClThl27dlG6dGnOO++8bPeTmJjI9OnTufvuu31+DBJYparUoLJpCjhPthctWsSVV16ZYbn032HFihXzfIe1aNGC2rVrA05rk6+//porrrgizfoHDx7kww8/ZMCAAf46FAmyHTt2UKtWLc/nWrVqceDAAY4cOZJmuUqVKhEbGws43T4++OCDTK+5F198kdtvv93zXaXvr/zv6J7dlKxc3fO5UJFiFC5ZmqN7//RMK1myJB07dgSc3/n8+fNp2bIlpUuXpnXr1qxfv569e/dy+vRpPvvsMy655JI0+yio309K2HJw6tQpJk2axOjRo7Nd7pJLLuGTTz5h7969nDx5knnz5pGQkJBmmcTERB544AE6dOhA8+bNOXbsGAB79uzhgw8+8Oxn69atfjseCQ1rZ7/E3Du7k3ginqY9b8rTuvv27WPmzJk88MADGebNnTuX+vXr06JFC18VVULI0aNHPU+kP/30U84//3wefvjhDMudPHmSwoULp5lWuHBhTpw4kav9LFq0iKZNm6ZJ+iR/Wzv7JS655BKOHTvG7bffnmF+27ZtiYuLY8uWLSQnJzN79uwM32E33XQTHTt2pGPHjhluot5++2169OhBiRIl/HocEjwnT54kJibG8zkmJoaIiAhOnjyZ6fIzZ84kNjaWdevW8eCDD6aZt2vXLn7++We6d+/umabvr/wvOeEUUYXSfvdExRQmOSHjNbJkyRLatWvHnDlzeOKJJwBo0qQJvXr1okOHDrRu3Zq1a9dy5513plmvoH4/KWHLxNtvv02XLl3o0qULvXv3pnv37mmeKmXmsssuo3///gwcOJCBAwfSvHnzNB1xjx8/zl133UW5cuU8F2bqF9t1111HZGQk559/Pq1bt2b16tX+OzgJuE1L5vP+8Bt4f/gNngEeWt00hBtf+5Qq5zdn6ZOZN3vMyoQJExgyZIinWWWq/fv3M3PmzAxfjJK/eccjl8vF+eefz0UXXURkZCS33nor69evz5CIFStWLMPN9qlTpyhevHiu9vnxxx+nuZGS/MU75uxcswJwYs6q1d/RqlUrbr311gzr1DmvHqNGjWL48OFcd9111K9fP8NgErNnz2bVqlVs27aNZ55J2y9F10x48o4/v/zyC4mJiZ55CQkJuFwuihUrlum6AwYMYPXq1QwYMIB+/fpx6tQpz7zFixfTsWNHChUqBOj7K1xEFynK6aS03z2nE04RXaRohmW7dOlCXFwco0ePZsCAAezbt48vvviCFStWEBcXx9q1a+nRowcPPfRQmvUKaqxRwpaJm2++2dOxMTIyklmzZhEbG+up4o+NjWXnzp0Z1rvjjjtYsmQJ7777LhUqVMAYpw1vcnIyQ4cOpX79+kyYMIHISOe0lyhRgjJlynhq2gCioqKIiooKwFFKoDTu8m/6TJlDnylzqFy5Mvt+2whAZFQ051/Vm32/byLh+LEctnLGV199xaRJk4iNjeXf//43e/bsITY2lm+++YYDBw7QrVs3YmNjmTFjBjNmzODxxx/316FJAHjHo8aNG2eIF4AnpqQ677zz0vQZOXjwIEeOHPE0a8tOfHw8P/74Y4YaFMk/vGNOsfKVPDGnSEwh/r6gMz/99BNPrNyeZkCr6MgIevfuzccff8z7779Pw4YNPQPTfP755/z111+A873Vu3dvVq5c6dnftm3bOHHiBI0bNw78wYpfeceffv36sW3bNs+83377jYoVK1KqVKk062zdupVVq1YBTlPb7t27c/z48TQxafny5Vx22WWez6tWrdL3VxgoXa0WR/7a5fl86ughEo4fo1SVmp5++nv27EkzYFrbtm2pVKkSP/30E3FxcVx66aWULVuWyMhIunbtytq1az3LFuTvJyVsOVi8eDGrVq0iLi7OM7JjXFxchhuf7777jv79+5OYmEh8fDxvvvmmZ/SaWbNmUbx4cc8oSd6DS/Tq1Ys33ngDl8vF7t27WbNmDa1btw7Q0Umgbdu2jbjpk0g8EQ/Aru/jKF6+MoWLZxwWOSvr16/3XI/z58+natWqxMXF0bt3b9auXeuZd9ttt3HbbbcxduxYfx2OBFhsbCyHDh3im2++AZyO1y1atMgwmmibNm3Yu3cv69atA5wYdMUVV2T5JNzblt+3UrZsWTVtCxNH/tyRq5izc+dOrrnmGo4ePUpSUhKvvvoqffr0AZzBJqZOnUpKSgoul4vly5d7HkiC07eybt26RETodTThrGPHjqxZs8aTeM2aNSvTmo6DBw/y8MMP8/fffwPw/fffk5SUlKYJm7WWevXqeT737NmTb79bo++vfK5qk39x/OA//L35J8Cp7a/Z4hIKFSnqeY/n1B//5v6HHuGRj9Ywcf1+Rn6ynl27dlG/fn3q1q3Lt99+62lm+9VXX9GgQQPP9rdt21Zgv5/Uq/McfPbZZ3z55ZdMmDCBli1bUrduXTp37kxERAQDBw6kTZs2gNMu++TJk3Tp0sWzbqlml9Hi+kGc7nALG/83gX/FXk50kaI06z/MGRBAQ/iHpWuuuYZ3Vm/i4//cgcvlIqZYSa4YNg6An3/+mRdeeIHXX3+d/fv3c/PNN3vW69+/P1FRUcycOZPKlSsHq/gSZDExMfzvf//j4YcfZuzYsVSrVs0zRLv39VOkSBGee+45xo4dy8mTJ6lVq5ZnuS+//JLJkydz6tQp9u/fT5cuXahcuTIzZ84EYP8/f5NYrEymrxHRy7Hzn3qXduHont18/J87iIuJJD6qmCfm7Pt9Ez/Mm07nR5+jdu3aXHnllVxzzTVERETQrVs3z3DrjzzyCGPHjuXqq6/G5XJRv379NDfSf//9NxUrVgzK8UngVK5cmdGjRzNkyBCSk5Np3Lix5z1p3vGnVatW3HXXXdx6662kpKQQExPDc88957nJPnz4MCdPnsxwzaTe0AOs3+M08z7uFYcUf0JfdExh2t87lm9nTCE54SSlqtSg3d2PcfzgPrp3H0i7cW9SqkoNLhn0CCumjiElOQmI4LHHHqNOnTpUr16d7du307NnTyIjI6lYsSITJkzwbH/v3r0FNtYoYcsj75dmd+rUiU6dOgFO06SsngQtXbo0w7TUoBQdU5jL7xnj+4JKSIqIiKDF9YNocf2gDPMuvPBCXn/9dQAqVKjAkiVLctxejRo1Mrw0O5VeOBqemjRpwuLFizNM975+wKll++ijjzIs16FDh2yH9L/qqqv4oaI6/YcL75gzonmFNIl4xfqN6fzoc57P9957L/fee2+GbZQpU4YpU6ZkuY/M+sRJeOratWumI2anjz8333xzmoeO3sqUKZPmXiozzfv+37kVVIKmapMW9Jo8M8P0jz/+2BN/6l7cgboXn/ke6uNOxgsVKpRtM9irrrrK81qbgkZNIv0k/Tu1RERERERE8ko1bH7iXbWfnqr1RUREREQkN1TDJiIiIiJ+p9ZHImdHNWwiISI5xUV0ZNajrOU0XyQ3dB1JZhR/JBDU+kgyo/iTswiXK2hPO8L+MUt2QSmreVvXrmTlcyPZvHmzP4smAVKxTgOuGTmZeq3aAdn/7rOblzo/HwiHiJrvY1NOX245XWfe87euXcmHEx5m347ffFpG8Y/0McdbAYg/2QmH2ARhEJ/ycg0q/uQvij9nLcf4pBq2s+SvbP+D8Q9wYNe2nBeUfGHfjt/4YPwDPLjwu2AXRQoQXz7FVkzKXxRzJJwo/uQvij/+o4QtG9klZdndEEGBeBogAZbd9ajmAiIiEgr0fSS+pvsfJWzZCkZb696PPUvc84/y66+/+mX7EliV6jak54hJPtmW2v5LqkB+QfV+7Fk+mvgI/2zfEpD9ybnxZczxphsmyS1fflcp/uQv/oo/uv8pAAlbdl8kSSkuCoXYl0y9Vu2YvmnTWbXzzU0bYK3r33Vz2q6/qMNu+AmVGv56rdpx/4I4z3bz099jflzXn2U6F7phklSB/D5R/FH8yUlBuf8JSsL2xBNPRN933325Xv5ck65XNh7MdPrdTcplOS91vuvE0UznHT4cneW8nOb7a91QLFNBWzdYZYo/Gp3ttXzH+WXP+m8oL8HuhRdeqAP8MXr06ORcrRBi8hqbcuLP2KVrPzzXDcUy5TR//8GobGNEdtd6oG6m8ntsgsDeO+U03x/3Tvnx2g+3dUOxTDnND5X7n3ORm/gUlFEin3jiiTrA9oDvWEQCoe7o0aN3BLsQZ0OxSSSs5dvYBIpPImEu2/gUrCaRfwB1vT5vT/e5oNHxF+zjh/A6B38EuwDnIH1s8oVw+t3qWEKTjiV38nNsAv/Ep0AIp+vTV3ROMiro5yT7+ORyuYL+b8yYMa5gl0HHr+PXOdA//W51LPnxn45F/0L5n36nOic6J+f+LzJAWWNOngh2AYJMxy86B+ErnH63OpbQpGORUKbfaUY6JxnpnGQjKH3YREREREREJGehUsMmIiIiIiIi6ShhExERERERCVEh8+JsY0w1YCbQCDgK3G2t/Tq4pQocY0wSsNVr0hpr7S3BKk+wGGO6AR8Dda21O4JcnIAxxlwLjAKKAPuBu6y1G4JbKvEFY8y/gSfTTwZKWWuPBaFI5yScYnU4xt1wiKGKh/mXMaYD8AxQHNgF3GqtzTD6nTHmdyACSHJP+tNae2XAChoAuTkXxpiLgFeACpy51n8OdFkDJZfnJOyvjbMRMgkbzg3Ap9baTu5f6FAgX94E5JUxpgSQYq1tFOyyBJMxphgwEcj6DYhhyBhTC3gVaGmt3WmMuQ+YAbQObsnEF6y184H5qZ+NMdcB1+fHZM0tLGJ1OMbdcIihiof5lzGmODAX6GKt/cEY8yBOMtIjk8XLAE2ttXsCWcZAycO5mAuMtNYudD/cmw00DWxpAyMP5ySsr42zFRJNIo0xNYF/AVMBrLVfWmuvC26pAqo0cDjYhQgBY4BZQH69kT1bScCN1tqd7s9f4NTASJgxxhTBqW17ONhlORthFqvDMe6OIf/HUMXD/KsDsM1a+4P786tAZ2NMyUyWDce/P285ngtjTFOgjLV2IXge7lUyxpwf8NIGRm6vj3C/Ns5KqNSwXYTzwryJxpjuwF5gmLV2fXCLFTBlgChjzCKgAbADuN9a+2tQSxVA7sDVCecp6uAgFyeg3E+R9gAYY6KBgcCHwSyT+M3/AXHW2q05LhmawilWh1XcDZcYqniYrzXEq4mxtTbeGHMAqA94YoS7piUKeMMYcyFOU8AR1tpVAS6vP+XmXDQEtqVbbxtOc/N8GYdykOM5KSDXxlkJiRo23NWfwNfWWgO8DbzvDtYFwQngPWA40BhYCnxYUI7fGBOB86TlHmttUk7Lhyt305+/gUuBR4JcHPExY0wk8ABO+/38KpxiddjE3XCMoYqH+VIx4FS6aSdx+it5iwJeB56x1jYG/gssMsaU9X8RAyY35yK35ytc5OZ4C8K1cVYC+sVkjOkDTM5k1lTgb2tt6lO013BuahoCmwJUPL/L5vgnWGvv9lrueZymLQXl+J8GNllrVwa4SAGVw+//dWvtC8aY/wL9gFXGmMbW2pOBLaWcrZx+v0BbIN5auzGwJcu7cIrV4RR3wymGKh7mX9n87l7BGSjGWzEg3nuCtfYocIfX5/nGmMdxYuQnvi1t0Bwn53ORm2XCSY7HW0CujbMSEi/ONsZcAKwEyllrU9zTDgEXW2ttUAsXAMaYMjjHvs1r2jGghbX2t+CVLDCMMZ8ALYEU96SKOJ3mr7PWfhW0ggWIu716dWvt517TDgBXWmt/DF7JxJeMMROACGvtiGCX5WyFU6wOp7gbTjFU8TD/MsZ0BcZZa//l/lwR+APn7+y413LFgRreMcMY8wsw3Fr7WYCL7Re5ORfGmMbACqCytTbFXbv/D0483RKkovtNLs9J2F8bZyskmkS6h+vdCtwOYIzpi9PhML/288irC4HlxpjKADlKxKwAACAASURBVMaYO3Au4vRtm8OStbartbaStbaKtbYKsBtold9uNM5BReAt93DpGGNigUIUkN9/AXIR+bxfQpjF6rCJu2EWQxUP86+vgBrGmHbuz/cAH3sna26VgW+NMQbAGNPJPe27gJXU/3I8F9baTTj9gG9wT7oF2B6OyZpbbq6PgnBtnJWQqGEDMMbUAd7FCdb/AEOstd8HtVABZIwZhtNRPAX4C+f48/XN3dkyxuwA2ufXdwidDWPMUJzffySQgDPMb4Gu/g83xpifgYestUuDXZZzEU6xOlzjbn6PoYqH+Zcxpj3wAk6/pN+BgdbavcaY6sBSa+0F7uX6AY/j9Fk6hFODElYDS2R2LnCO1/s8NAWmA+Vx+mzebq3dHIzyBkIuz0nYXxtnI2QSNhEREREREUkrJJpEioiIiIiISEZK2EREREREREKUEjYREREREZEQpYRNREREREQkRClhExERERERCVFK2EREREREREKUEjYREREREZEQpYRNREREREQkRClhExERERERCVFK2EREREREREKUEjYREREREZEQpYRNREREREQkRClhExERERERCVFK2EREREREREKUEjYREREREZEQFR3EfbuCuG8R8Y+IYBfABxSbRMJPOMQmUHwSCUc5xifVsImIiIiIiIQoJWwiIiIiIiIhSgmbiIiIiIhIiFLCJiIiIiIiEqKUsImIiIiIiIQoJWwiIiIiIiIhSgmbBFVySvYjFCdlMz+ndUUk/OUUBxQnRETOyC4mKl6GrgiXK2i/HF0VAsDE9fuznDeieYUs549oXsFfRZKzFw7vOlJsymdyiiH/z969x8lYv38cf83uWmux1mER1incThElCYlkNySHSCVRX0qokL7KzyERkRBSRIkixw58rVJURCjlUO5iHXMop93F2oOd3x+zxo6dnZ1ldmd29/18PDzs3IeZaz4z9zWf674/932LkDdyEyg/iRuSU6wE+GX8lVe/yudkmp+8eeNsERERERHxoAA/i4qyPEZDIkVERERERHyUCjYREREREREfpYJNRER8mk6EFxGR/EznsImIiE/T+RgiItkvs4uVZDZfso8KNhERERGRfM7VzjHQDjJv0pBIERERERERH6WCTURE8izdJFZERHI7DYkUEZE8S+e/iYhIbqcjbCIiIiIiIj5KBZuIiIiISC6h4dz5j4ZESq6ly8+KiIhIfqOrOeY/Ktgk11LCEhEREZG8TkMiRUREREREfJSOsEm2Gj58OGXLlmXgwIEee85fl39A9KavWR9ogbJVadr3vwQGF0m33OrVq5k1axZJSUnUqFGD119/naJFizJkyBD27NljX+78+fM0aNCA6dOn26edPHmStm3bMnz4cDp37uyx2EUkY57IF9E/ruO3FR+ScjmZ4uFV6f/O5HTLHNyynl+WzGZDQX/7tAMHDvDzzz9TpMjVXPLcc89x9uxZFixYAMBvv/3G2LFjiYuLIzg4mOeff54WLVpcd6wiItdj+PDh7LOG0KDrUx55vpN7f2Pt64PYUL4cZxIuA1CzTRdqRz6Ubtnr6Vvt3LmTsWPHcubMGUqVKsWbb75JhQoVPBJ7fqEjbJKrHNyyngNbvuWBcXNYs2YNFouFXV98nG6586dO8NprrzF79mzWrl1LWFgYU6dOBWDy5MlERUXZ/9WqVYtOnTo5rD9u3DiKFSuWI+9JRDzj/KkTbPlgCvcNe5MuUxZTKLSkfbtPq/KdLen81iJ7Dnjuuedo06aNQ7H23XffsXv3bvtjq9XKwIEDGTBgAFFRUUyYMIEhQ4YQFxeXI+9NRCS7JF44T5ma9YmKiqLzW4vo/NYip8XasWPHsty3SkxMZODAgfTr149169bRsWNHhg8fntNvMddTwSYOjh49SrNmzZgzZw4RERFERETw66+/0rdvX5o3b87LL78MwJo1a2jfvj2RkZH07NmTw4cPA3D27FmefPJJWrVqRd++fR06M/v27aNHjx5ERETwwAMPsGvXrizHV6x8JZr3G06BQoXx8/OjdI1bOHf0QLrlDm//gSZNmlCuXDkAHn30UdasWZNuue+++47ExERatWrlMC0+Pp477rgjy/GJ5Cc5mS9O7f8j03gOb/+BcnVvo0ipsgDUatPZ6XafVkJCAtOmTWPo0KH2afHx8UycOJEBAwbYp8XExHDy5EmaNGkCQI0aNQgKCuLo0aNutpaI5FfZmSvPHT3A/17tz/IXurNy6ONu5cprJcafdzpS6VrffPNNlvtW0dHRJCYm0rJlSwC6du3K7t27OXfuXJbjzM80JFLSOXv2LGFhYaxdu5bnnnuOQYMGsXz5ciwWC3fffTedOnVixIgRLF++nEqVKjFv3jxGjhzJhx9+yJw5cyhevDjz5s3j6NGjdOjQgerVq5OSksKgQYPo2bMnXbt25eeff+bZZ59l/fr17F69mD+/+TxdHE2eGgoN2jhMKx5e1eHx0V+3ULZW/XTrxh4/QoMqFe2PK1asyOnTp4mJiXE4cjZ9+nReeukl++MrHbV3332XmTNnXncbiuQXOZUv/tP/ObrOWM7vUcsc8sWGgv6cSbhMk6eGEnv8CEXLlLfPK1qmPKdPnybhfCwFi4Q4jX/ZsmU0bNiQihWv5osZM2bQoUMHype/+lyhoaHUrl2bVatW0blzZ7Zv305AQAA333xzNrSqiOQ1Hs+VkQ9jTUlhw9ujqB3ZlRqtHuCkuZNv3hxGcsfvMuxbtZwwFgId81bihfPEnjjCo48+yl/H/qGMUZ87eg5MV8QdPHjQIVe607eyWCykpKTY5/n7+xMYGMiRI0cIDQ31SNvmByrYJJ3k5GQiIyMB215kgBIlSgAQFhbG1q1bady4MZUqVQJse0smTZpEUlIS27dvp2/fvgBUqFDBfpQqOjqaw4cP06VLFwBuu+02SpQowY4dO6jbrjt123XPcpyzZs0iPuYMtSK7pn8PCQkEBgbaHwcGBmKxWIiPj7cnlS1btmC1Wh2OpM2cOZP27dsTHh6e5XhE8qOcyhdBIaH88+fudPliWINS9qvF7v9hLUEhxe3z/AvYtvvkhEtOC7aUlBTmzZvHu+++a5/2559/snHjRpYtW8Yvv/zisPxrr73Gk08+yYQJE4iPj2fKlCkOeUZEJCOezpVngZhjh4g9cZTq97QDoIxRj6CQUJd9q8YNSrH+mitsFy1Tngq3NuHd4QN5+484fnhnLFs/eptmz7zisFx8fLw9ZnCvb1W1alUKFSrEihUr6Ny5MytXriQuLo6EhIQbas/8RgWbpOPv709QUBAAfn5+BAcHO8wLDAwkJORq56do0aJYrVbOnTtHTEwMRYsWtc8LCQkhxWolNjaWy5cv07ZtW/u88+fP2w6Ju7j6/uTJk1mxKgqA5s+OIKxabQC2L5pFyr4dRLwyhQJBhdKtFxAURGJiov1xQkICVqvV4b2sWrWK9u3b2x//+eef/PDDDyxdujTTNhIRG0/nC8BpvoiPjSUhLsZlLAFBQVxOurrdJyfatvsAJzkCYMeOHQQHB1O9enXAdp7a6NGjGTFiBAUKFHBY9tKlSwwYMIBp06bRpEkT9u3bR8+ePalVq5bDkTgREWc8nSvPAgkXzmO9fJmVLz5mn5cYfyHTvtX2RbM4vO17wNa3qnDrnVS49U5CQkIICEzklgd78PX4wenWCypUKMO+1ZV7317btypQoADTp09n3LhxzJ49mzZt2lClShWH9yqZU8EmWVayZEl27NhhfxwTE4Ofnx/FixcnJCTEYWz1mTNnCA8PZ/m/BfALCuae8Qsdnuu+BqWYP3ZGhkMipw0ZQlKrJxym71g6l3/MXfzv44+Y8dclpzEWK1eJ6Oir58j99ddfhIWFOSSIDRs20Lt3b/vj9evXc+LECfs467i4OL7++mtOnjxJv3793GkaEbnG9eSL0qVLU7hwYaKiouzzrhxFu3aYT9ohkcXKVeL47u32eeeOHiAsLIyCha92dNLasGGDw1Uejx8/zt69e3n++ecBSEpK4uLFizzwwAO8/vrrXL582X4OW7Vq1ahUqRI7d+5UwSYiNyyruZLSJQkuXooCwYXp/NYih+dy1bdqOWEstz/Sj9sfudqvuXD6H/wCCmCv8qxW/PzTlwg3V63K/KjvSEjNx6ei91KoeEne2Z/IsAYWIH3fCuCWW25h8eLFgO0o3ZIlS+xHEsU9KtgkywICAti+fTtHjhwhPDycxYsX07RpUwICArj11ltZt24drVu35vDhw/z888/Ur1+fImFlKVwijINb1lP5zpZcij3Hlg+n8NzMSVkaEnnqgMm+H6J4cMIHqVd0c16wVby9OV+tmMuBAweoUqUKCxYscNjjc/r0ac6cOUOVKlXs055++mmefvpp++Nhw4Zxxx136LL+IjfAnXxxT6t7OXb0iD1flC9fnrJlyxIVFUVkZCRnzpxhw9ujaNp3mMshkSE3hbNjyRxijh2mWLmK/B611GG7v9bevXsdjuKVK1fOYRjkTz/9xIwZM1iwYAFnzpwhLi6OnTt3Uq9ePY4dO8a+ffuoVq1aNrSaiOQ3We1b1bi/+nX1rZwNifxrwypO7d9L4l3vkpJymd+jllKhwV3p1m3dujVvvDXVIcdWves++3xnfauUlBS6dOnCq6++Sr169Zg3bx4tW7akYMGCHmy9vE8Fm2RZ2bJlee2113j22WdJTk6mfPnyvPbaa4Ct6Bk0aBCtWrXi5ptvpk0b20VDLBYLLZ4bw+b3J/HLktlg8aNuu4dThwRcdPu1zXWfk3ghjlX/14cfU/esFy5VlohXpnBo63cc+WUTzZ55hcIlwhgxchT9+/cnOTmZ2rVrO9zb6e9jxylRogR+frpQqkh2cidftGl9L4SFc9Ptd7Px+EUu/HqaWn1GMv7dSYx8YzKlChWg3L0POR3+nFbhEmE0eepFvpn8MimXkylZuQYDBw5k+p/x/Lvvd35ZMoeIV6bYlz9x4gSlSrkYN5RGiRIlmDhxIsOHDycxMRE/Pz+GDh1qH04pInIjstq3Oojn+la3dOjB5nmTadeuHeeSrIRVr0OjHv0BHPpWZcqUSZdj094L7sSJE+n6Vn5+fjz77LO8+OKLJCcnU6tWLSZMmOCJJstXLFar1Vuv7bUXlpw34Zq9OVek3Tue1fk3uq5kC4u3A/AA5SYvUB6QbJYXchMoP0mq7MiZyqdek2l+0uEFEREREREfkpyi2lyu0pBIEREREREfEuBn0dEssdMRNhERERERER+lgk1ERPKlzIYcaUiSiIj4Ag2JFBGRfMnVkCPQsCMREfENOsImIiIiIiLio1SwiYiIiIiI+CgVbCIiIiIiIj5KBZuIiIiIiIiPUsEmIiIiIiLio1SwiYiIiIiI+CgVbCIiIiIiIj5KBZuIiIiIiIiPcnnjbMMwegE9gFLAFuAN0zQPXLNMGeCYaZr+2RWkiIiIiIhIfpThETbDMPoBc4Fk4DegHfCbYRgdnCxuyZ7wJDdITrF6OwQRERERkTzJ1RG2/sAg0zTfBjAMoxDwDrDUMIwupmmuSrOseuz5WICfhQk7TmU4f1iDUjkYjYiIiIhI3uHqHLbKwJdXHpimGW+aZm9gHvCpYRhNszk2ERERERGRfM1VwfY30ODaiaZp9gOWA6sNw2ieXYGJiEjeoaHTIiIi18fVkMhPgNmGYZQH5pimeSnNvF7ATOArbOe5iYiIZMjV0GkNmxYREcmYq4LtdaAM8Ca24s1esJmmmQL0MwxjBzA+WyMUERERERHJpzIcEmmaZpJpms8CYaZpns5gmdlARaBlNsUnIiIiIiI+LLNh7xoWf2Nc3ocNwDTN2EzmXwC+91hEIjkgOcVKgF/Gd6PIbL6IiIiI2OiK4dkr04JNJC9SYhERERGR3MDVVSJFRERERETEi1SwiYiIiIjkIJ3TJVlxw0MiDcMoCjxhmuYMD8QjIiIiIpKn6dQMyQq3CzbDMAKAmkCJNJMtQBNgFKCCTURERERExIPcKtgMw7gF+ALbJfydWeGxiERERERERARw/wjbW8CvQG9gNdATSAF6AKdN0+ybPeGJiIiIiIjkX+5edOQ24GXTNDdgK9R2mKa50jTNLkC8YRhjsytAERERERGR/Mrdgs0PuJj69wWgZJp5M4CnPBmUiIiIiIiIuF+w7QWeMQwjEDCB/6SZVx0I8nRgIiIiIiIi+Z2757C9ASwB5gMzgcWGYbQB/gZuB5ZnT3jiK5JTrAT4WbwdhoiIiIhIvuJWwWaa5krDMOoAh0zTNA3DSAG6A4HAa8DUbIxRfICr+4XoXiEiIiIiItnD7fuwmab5Z5q/lwHLsiUiERERERERAVwUbIZhzM7KE+nS/iIiIiIiIp7l6ghbG8Ca5nEJoChwDjgPFEt9fBo4kl0BioiIiIiI5FcZFmymaVa+8rdhGG2BocDzpmnuTDO9Mbabao/LxhhFRERERETyJXcv6z8ReCltsQZgmuZP2Aq5SZ4OTERExJuSU6zXNU9ERMST3L3oSDVswyCdOQdU9Uw4IiIivkFXxxUREV/g7hG2v4A3DMMITzvRMIzy2IZDHvB0YCIiIiIiIvmdu0fYngc+Aw4ahnESuIjtoiMlgASgS/aEJyIiIiIikn+5e+Psbw3DqAp0BmphuzrkBcAEVpqmeTz7QhQREREREcmfsnLj7FPAbMMwQoFg4LxpmrHZFpmIiIiIiEg+51bBZhhGMDABeBgolWb6cWAhMMo0zYRsiVBERERERCSfcvcI2/tAB+BjYBu24ZBFgLuA54DSwJPZEaCIiIiIiEh+5W7B9gDQ2zTNpddMn2MYxlfAu6hgExERERER8Sh3L+ufCOzIYN42INkz4YiISG6kG0mLiIhkD3ePsC0EegCjnczrljpfJM9ITrES4GfJ8jyR/MrVTaZBN5oWERG5XhkWbIZhvJLm4Wmgj2EYrYAtQCxQGGgOVAImZ2eQIjnNVedTHU8RERHJjHbwiqe4OsI21sm08kAzJ9MnA1M9EpGIiIiISC6nnb/iKRkWbKZpunt+m4iIiIiIiGQDFWUC6IIBIiIiIpI9XPUz1QfNnLs3zq6HbcjjrUAxZ8uYpunvwbgkh+mCASIiIiKSHTQ89Ma4e5XIDwB/bOe1nQFUCouIiIiIiGQzdws2A7jDNM3fszMYERERERERucrdc9h+A0KzMxARERERERFx5O4Rtr7AFMMw5mIr3i5eu4Bpmoc9GZiIiIiIiEh+527BdjNQF/jEyTwLtnPadNERERERERERD3K3YJsG7AIGoIuOiIiIiIiI5Ah3C7YwoLVpmvuzMxgRERERERG5yt2LjnwFNMjOQERERERERMSRu0fYFgIjDMNohm1oZPy1C5im6ez8NhEREREREblO7hZsy1L/r5/BfCvOL0giIiKS5ySnWAnws1z3fBEREXe5W7BVydYoREREcpEAPwsTdpzKcP6wBqVyMBoREcnL3CrYTNM8lNE8wzBKA9OBhz0VlIiIiIiIiLh/hA3DMGoDrYASaSZbsF2MpLWH4xIREREREcn33CrYDMPoBHyKrUDzA5KAwNTZ+4ER2RKdeJTOqRARERERyV3cPcI2EhgLvA6cxXbxkTPA40Ak8GF2BCee5eqcC51vISIiIiLie9y9D1t1YL5pmsnYrgjpZ5rmOdM0pwOfA7OzK0AREREREZH8yt2C7QJQKPXvs0DFNPPWAvd5MigREREREV+WnGL1dgiST7g7JHIb8JZhGI8B24HRhmHsB45hGxZ5MZviExERH6HzYEVErtLtPSSnuFuwvQx8CYQC44ENQHSa+SM9G5aI73LVaVWHVvIynQcrIiKS89y9D9suwzCqpP59IPUS/x2wXSnyJ9M0N2VjjCI+RZ1WEREREckpbt+HzTRNa5q/DwMzAAzDCDQMo61pmv/LhvhERERERETyLXcvOuJKcWzDJUVERERERMSDPFGwge2G2iIiIiIiIm7L7GqbuhpnFoZEZkItKSIiIiIiWaKrbWbOU0fYRERERERExMNUsImIiIiIiPioDIdEGobxlZvPEeihWERERERERCQNV+ewBeLeuWlW4HvPhCMiIiIiIiJXZFiwmaZ5Tw7GISIiIiIiItfQOWwiIiIiIiI+SgVbHqL7VIiI+AZX+Vi5WkREssJT92ETH6D7WIiI+AZX+Vi5WEREskIFm2Rq3/draPd/izl+No6ytW6l6dPD8C8QyP4f1rJ53mQ2lC3NmYTLANzW/Rkq3dGCHUvnsv+HKIqVr8yLC+fYn2v/xq/4d98e7uw1yOlr/fDOWIqWrcCtnXs5TP+ge1O6zVxJ4ZKlWTqgC1asbCgazOn4ZPwDA6nXsSdV72oN4DD/ZMx5Qm4Kp277RwhvcFf2NJCIONj3/Rp2fbGQpPh4e84A7DkjuHhJ+7K3dX8GGnRxyBn3vjgeP3/bz9P+jV8xdnU0Ae2ecfpaw4YN42CBUhnmDChlzwkBgQWxpljtOYMG3QEc5iddirfnDBp08HzjiEi+k9WcWOmOFkyfPp1lS1ZkOSf+8M5YQhrUgCbdHKYrJ+ZuKtjEpbNHotm6YDprv/ycD48H8P30V9n1xcfc2qU3CRfiqHJXa758Z6LDnuT4mLMc2vY9nacuZsu8yaxfvx5KNSAp/gK7Vy3i/pHTbziuFgNGMeWRe5mw4xQxxw6zeuTTFA+vSvHwqunmH9u1nR9mjaXRY/2p2vS+G35tEcnYlZzRYfwHFC5Z2p4zuGOoPWc07fOSwzqnT592yBlHft5EpTta2HPGW8s+Yea+hBuKq8WAUZSpWR/AnjP+anMbUDzd/Cs5Y1VpPyh/5w29rojkb9eTE+NjzvLj118rJ4qdzmETl47v/pmb6tzGTTfdhMVioXbbbhzaugGApPgLBAYXSbdO7ImjhFaojJ+fPyUq12D//v0A/LLkfeq26+50nRtRrFxFbqp7O8d3/+x0frlbbqfJk0PY9vFMrNbsPXcks3NTdO6K5HVXckaRUmXczhmHDh1yyBnn/j4IXM0ZRYsW9WiMV3LG5s2bnc6/kjMmTpyY7TlDRHzbjf5uX09OjD1xlGrVqiknip2OsIlrFrCmXLY/LBBUiNgTfwOQeCGOf/7aQ7du3Tj471kqNLiL27o/jcXPAqkbtDUlBT8/P84c3s/Zw/spV68RX7/xIsHFS9E4g2GR1yPlcjJ+BQpkOD+8YVO+m/4qsccPU6xcJY+97rV0HqHke27kjFX/14fEi+ftOcMv0M8hZ1j8/B1yRt++fTnuH0LjXoMICCzokTBTLicTGBiY4fzwhk3Z/M6YbM8ZIuLbbvh81OvIiRY/i70wUk4UUMEmmShX93Z++XQ2f/75JymXQ/jjqxVcTkoEoESl6hQsWox5w/rxxrZjfDPpv+z6YiG1Irty9kg0yYkJnPh9B3X69uDjyVNp/MQLfPf2KNqPncMfa5cRvelraNwr3Wv+vmYp0RvXArChoL/9/LiMnDpgcvKPX2n8xPMZLmPx86NAUCESL164/sYQkUxdyRlnj0RTrFxFpzmj9v3duJyYYM8ZA196xiFn1Gj1AD/Nv5oz1n+5gv9MfI/oTV9To2X7dK+ZNme440rOuHviqxw86XwZi58fwcHByhkickOuJyfWiuzKtr/+ouR15sSPPvqIlKUr3Y5ROdH3qWATl0IrVKFxr0EMHjyYM8l+VL+nHYGFbYfvb24eAUBQUBAFi4RQu93D7Pp8Ibd2eZJaEV34YlhvytSsz8mTJylZ2SAoJJQChYIpEFSIEpWqc+TnjU5fs/b9Xe0XEBjWoBQTdpzig+5NHZb5bsarRM6fxOn4ZAoVK849L4ylSKmyGb6P5MQE4mPPEhRS3AOtIiIZuZIzNkwbiX+BQKc5AyAgsKA9Z4SEvOSQMy6e+dchZwQHB1/NGU46J2lzxhXOcsaVE+yv5Ixy5crBSed7zpMTEzh9+rRyhojckOvJibd2eZLHHnuMKdeZE3v27Emsk4uOpKWcmLuoYJNMVW/Rlrkv9GTCjlOc+ONX+4U94k7+TcGixYDUIQFWq/0qRjXv60TN+zqRcCGOBZMH03DoVJLiL159UqsVi9/1n0KZ9qIi7jj00wZCylSgaOmbrvs1RcQ91Vu0pXqLtgBOc4b9nI0MckbUa8/RdtQMj+eMKyfQu+PQTxuoVKmScoaI3LDryYmPPPIIh2rep5wogC46IpmIPXGUz//7BLGxsaQkJ7Pzs4+olpp0fls5n+2fvIPVaiU5MYG9X39GhQZNHNb/5dPZ9OnThwKFChMUWoJLMWdJunSRf/f9TrHylXPkPRzf8wvbPplJox79c+T1RPKzKzkj4ULcdeeMWzo85pAzLly44JWc8dJLL2W+sIiIC8qJ4gk6wiYuhZStQMXbm/Pggw8Sm5hClaat7XuJGvUYwKbZE4iIiOBsYgoVbm1iu09HqtMH/iT2+BHatm3Lzh2n8PPzp17Hnnz+0hMElyxN66ETsy3uK0MmT56Lo3DJ0jTr+3K6JCginnclZ3z+3yewYHGaM5YP6o7FYskwZzR5cgiAPWc8+OCDJBYpme05IyCwIEnxF+05495772Wbm0fxRUScUU4UT1DBJplq0PU/DHt9WLrhhwWLhNBq8Ov288yuVbJKDSKGT3WYVqPVA9Ro9UCGr9X82f9zOr334k32v7vOWO4y3ivzM4pLRDKWnGIlwM9yQ8/RoOt/aND1P+mmX8kZGckoZ8wb0jvDbXnChAlO511PzhARyQ45mRObP/t/POuk/6OcmLupYBMREbsbvoS1iIiIeJTOYRMREclBrm7Ee6M36RURyWuUM3WETUREJEfpKKaIiPuUM3WETURERERExGepYBMRERGRfCm/DKmT3E1DInMZT1zBTURERERcD7eD/DPkTnybCrZcRuN4RURERETyDw2JFBERERER8VEq2ERERERERHyUCjaRHKR7iYiIiIhIVugcNpEcpHMQVXFBAAAAIABJREFURURERCQrdIQtC5YsWUK7du2IjIzkqaee4sSJE06XW758OW3btuX++++nd+/eHDhwwD7v8OHDdOrUiV69eqVb7+233+aee+7h7rvvZurUqdn1NsSHJF26yHfTR/Pho3e7tfyGDRswDIOjR4/a1k9KYvTo0URGRhIREcHIkSNJSkoCYPjw4TRr1ozIyEj7v5MnT2bbe5Hrs3nzZjp16kRERAS9e/d2mlesVitz586lTp06bN++3enzLFy4EMMw7I/feecdGjdu7PD579y5U0dyfVBKcjJbF8zgg+5NM/xd2bp1K127diUyMpJOnTqxbds2+7wLFy4wZMgQateu7bCOq/wg4k379u2ja9eutGjRgi5durBv3z6ny9WpU8chh7300kv2eTNnzuT+++8nIiKCF154gbi4OADi4uIYNGiQ/Xs/depU5b087NrfvmutXr2a9u3bExERwcCBA+3fk88//5zbbrvN4fv19ddf51TYWaYjbG7auXMnb7/9NitWrKB06dK88cYbTJo0icmTJzsst3//fiZOnMgXX3xBmTJlWLRoEa+88gqLFi0iOjqa/v3706hRIw4fPuyw3hdffMGmTZtYs2YNKSkpPPfcc+zfv5+bb745J9+m5LDVI/sR3qCJW8vGx8czefJkQkND7dPmzZvHmTNnWL16NcnJyfTs2ZMlS5bw2GOPERcXx7Bhw2jfvn12hS836OLFiwwePJj333+fOnXqMHfuXEaPHs27777rsNyoUaNISUmhRIkSTp/nn3/+YcmSJQ7T4uLiePLJJ3n66afTLa9LWPuWdW/+l1JVa2Y4/9KlSwwcOJC5c+dSt25d1q1bxwsvvMDGjRuxWCw88sgj3HPPPenWc5UfRLzl8uXLDBgwgMGDB9OmTRs+++wzli5dyssvv+yw3IULF7BYLERFRaV7jqioKKKioli6dCnBwcEMGTKE999/n0GDBjFp0iTCwsKYMmUKsbGxdOrUiQYNGrA5pI7TeJTzcq+LZ0+l++1L69ixY7z22musWLGCcuXKMWbMGKZOncqIESOIi4ujXbt2jBkzJgcjvn46wuamEiVKMGXKFEqXLg3A7bff7nSP0P79+6lcuTJlypQB4M477+Svv/4CoGDBgsyfP59bb7013XrLly+nd+/eFCpUiMKFCzN37lwVa/nAXX2GUuPeB91advr06XTo0IHChQvbpzVq1IghQ4bg7+9PwYIFadiwof2IblxcHEWLFs2WuMUztmzZQnh4OHXq2DoS3bt3Z+PGjZw/f95huc6dOzN27FgKFCjg9HnGjRvHM8884zBNn3/ucWuX3jTs1gdwfi5rUlIS48aNo27duiSnWGnSpAmnTp0iNjYWgDFjxtCtW7d067nKDyLesmPHDgICAmjTpg0AHTt2TFesAZw/f56QkBCnz3HzzTczfvx4ihQpgp+fHw0aNLD3tdq0aUOfPrbtKSQkhDp16uh7n0f9NH9aut++tL755huaNGlCuXLlAHj00UdZs2YNkPt+I1WwualChQo0atTI/vj777+nfv366ZarX78+hw8f5s8//8RqtfLVV19x1113AVC+fHl7wXetvXv38vfff/PQQw9xf9u2fPjhh9nyPsS3lK5e163lTNPkxx9/TDeUtmHDhlSqVAmwHWX5/vvvadmyJQCxsbEsWrSIDh060KFDB5YuXerR2OXGHTx4kPDwcPvjwoULExoamu4IvLOdPFd8//33nD9/nrZt2zpMj42NZd26dXTu3Jm2bdvy7rvvYrVqWJAvSpsHrpznmvbfzH0JbC95KxN2nMLfAsuWLeP222+nWLFiQMbfD1f5QcRb9u7dS7ly5Rg2bBgRERH07duXI0eOpFsuNjaWy5cv88wzz9hPRdm/fz8A1atXp27dq9tN2j5Zs2bNCAsLA+DAgQPs2rWLpk2b5sA7k5x09NctJMVfSPfbl9bBgwepWLGi/XHFihU5ffo0MTExxMbG8ssvv9CtWzciIyOZMGECiYmJORH6ddGQyOvw2Wef8cMPP/Dpp5+mm1emTBkGDx5Mx44dKVKkCEFBQSxcuDDT54yLi2Pv3r188skn/PPPP7R/qBu/+JWh3C2NHJbTofv8x2q1MmrUKP7v//4vwyMsjz32GLt27aJ37972HQTNmzenWrVqtGvXjujoaHr06EGlSpW44447cjJ8cSE+Pp6CBQs6TCtYsCAXL150a/1Lly7xxhtvMGvWrHTzbrvtNgoUKEC3bt04ffo0TzzxBGXLlqVjx44eiV1y3sEt62k2YCpFixZlxowZbq/nLD+IeEtsbCzbtm3jww8/5PXXX2fatGm89NJLLFq0yGG5oKAgIiMj6d27NxUrVuSjjz7i2WefZfXq1QQEXO2+zpo1i9OnT/P444/bp12+fJnIyEj+/fdfhg4dSvXq1cHFUHDJXZITE9i2cDr3vviGy/MT4+PjCS1+9VSCwMBALBYL8fHx1KxZk+LFi9OzZ08SEhLo168fs2fPZsCAATnxFrJMR9hcWLhwYboTET/++GNmzpzJ/Pnz7Xtw0vr999+ZNWsW69atY+vWrQwZMoR+/fplume7aNGidO7cmcDAQCpUqEDlxi35e+fWbHlf4j0LFy5kxeBHWDH4EQ5t/c6tdT799FOqVavG7bffnuEyH3/8MT/++CPR0dG8+eabALzwwgu0b98ei8XCzTffTLt27diwYYMn3oZ4SHBwMAkJCQ7TLl265DDs1ZWZM2fSvn17hz2IVzzxxBM8+uijBAQEUKZMGR5++GHWr1/vkbjFOyrf2ZJNmzYxatQonnjiCf7991+31nOWH0RyUtr+lNVqpVatWtSvXx8/Pz969+7Njh070u2oCg8P59VXX6Vy5cr4+fnxxBNPcOrUKQ4ePGhfZvLkyXz99dfMnTuX4OBg+3R/f3++/vprvv32W7788st0xaDkPr9HLbP3n74Y1puqTdsQUrYCAX4WgHQjEybsOMXvFywkJ109apaQkIDVaiU4OJgHH3yQvn37EhQURLFixejVq5dP95FUsLnQo0cP+4mt9913HytWrODjjz9m4cKFDsOY0tq8eTMNGjSwj5dt27Yt+/bt4+zZsy5fq3z58vYr1wBYLH5Y/PTx5DU9evSg81uL6PzWIird0cKtdb755hu++eYbmjZtStOmTTl+/DgPPfQQW7ZsYd26dRw7dgyAIkWK0KlTJzZu3EhKSgp79+51eB6r1ZrhETrxjqpVqzqcW3HmzBliYmLsw9gy8+2337JgwQL7dwOgadOmHDp0iH379jkUg1ar1WGvtOQe50+d5NC27+2PmzRpQpkyZfjtt99crpdRfhDJaWn7U7Vr13bo7/j7+wPgd02fJzY21mGopMViISUlxZ7Hpk+fzi+//MJHH33kcEGmzz77zH5+Z4kSJWjXrh0//PBDtr03yRm1Ix+y958sfhZ+j1rK4qcfsP/2LX76AWJPHHVYp1i5SkRHR9sf//XXX4SFhRESEsKRI0ccvoe+/hupisBNJ0+e5K233uL999+3X1DEmSpVqrBjxw57gfbdd98RFhZG8eLFXT5/x44dWbBgAYmJiZw9e5ZD276jXN1GLteR/GHOnDls3ryZTZs2sWnTJm666SaWLVvGnXfeyTfffMP06dNJSUnBarXaL/tvsVgYMGAAq1atAuDEiROsXbuWu+927/YBkjMaN27MiRMn7JfqX7BgAS1btnTYU+zK6tWr+fHHH+3fDYBNmzZRqVIlxowZYz8XNiYmhpUrVzq9kqD4vpTkJDbOGsfZI7aOx8GDBzl06BDVqlVzuV5G+UHEm5o2bcrZs2ftRdSnn35Kw4YNCQoKcljONE0ef/xxTp2yDWVcsmQJZcuWJTw8nD179vDZZ5/x7rvvUqRIEYf1VqxYYc99SUlJbNy4Ud/7PKbTmx/zyHur6P7el/bfvu7vfUlI2QoOy1W8vTlbt2617xhdsGCB/crZ77zzDpMmTcJqtZKQkMCiRYt8+jfSd0tJH/PZZ59x4cIFnnzySfu0gIAAVq1axc6dO5k2bRpz586lVatW7Nmzh4cffhiLxUKRIkWYOnUqFouFRYsWMX/+fM6fP8/58+eJjIykXr16TJw4kR49enDkyBHuu+8+goKCqBXRhXK3ZDwETnK/UwdMvp8+mpTkZKwptvH2YLtccdrv1BXJKVb7of8r/vvf/zJmzBjuv/9+rFYr1apVY8yYMVgsFt5++21effVVpk+fTkBAAM8//zy33XZbjr5HcS0oKIgpU6YwZswY4uPjqVixIhMmTODkyZM89dRT9oK7ffv2JCcnc/LkSYYOHUrBggWZOHEi9erVy/C5x40bx8iRI1mxYgV+fn506NBBt3jwQfHnzrBmTH/748cff5yYZIj4v7f56vVBdHpzISFlK3BX3//y3fTRRL6TgsViYfjw4VSuXJk9e/YwZMgQkpOT7eftgC2PZJQfRLwpMDCQ9957j5deeokxY8ZQrlw5JkyYAODw29eoUSN69erFY489hsVioXTp0syYMQN/f38+/fRT4uLi6Nq1q/15y5cvz9y5cxk/frz9/oOXL1+mYcOG9OnTh7dN984Nltzt0NbvOPLLJpo98wqFS4QxatQo+vfvT3JyMrVr12bgwIGArf80YsQIIiIisFgstGjRwqGP72tUsLnp6aefdno/I4B69eo5dKwHDhxo/0Kk9cgjj/DII4847Xj7+fkxfPhwhg8fDri+T5LkDaWqGHR+6+q4+mENStnHXUM5qg94w+F7cOWCM99++619WmhoKG+99ZbT569du7bTC+OIb2ncuDFffPFFuulXirVr/3bFNE373+Hh4XzwwQc3HqBkq0KhJZzmAYBOb169YFWVO1tR5c5W6S48VadOHaf3qQLX+UHEm+rUqcPq1avTTb+2P9WrV690V0cG260s0u58SNuvKl++PHPmzHHyqirY8qreizfZ/650RwuHU07atm3r9EqSoaGhTJ8+PUfi8wQVbF5w5bLNGdGVIEXkRjjbKSQiklepXyV5nQq2bKIOk4h4i6vOizouIiIiuYsKtmyiDpOIiHiaq52B2lEoIuIor+RMFWwiIiK5hHYGSn6VmzrX4jvySs60ZHZD52zktRfOKa6+IJmNtZ6w4xT7t23k8/Ev8e/Bv7IrRMlhNWvWpNmg8dzcqFm6ee58L3KBvPBrmidyk7Pv0v5tG9k45eV09+gT7wirXJ0HX57okA/c/X3IaJ5kKC/kJsgj+el6XW+/qvG5XTz85NPqT+VSN9p3ygU5M9P8pPuw+bCV44YoueQxe/fuZeW4Ide1bnJKxr/TruZJ3nO9n/fKcUNUrPmQfw/+dd35wJnMvhfKE+LLsvP7+fTTKtZysxvpO+UVGhJ5nXRoXnJaXjmsLzdOV0QTZ/S9kNxM31+RjKlgc8FVUZYTiaXT8Ml8MeG//HPgzxt+LvENtWrVoukLr3v8eTPbgaAdDAK2nLJp6iv88ccf3g5FgNJVatBh2BveDkMkz3vvvffo/tQz6k/lUtnVd8pNvFKwvfrqqwHPP/+8N17agTud2Fl7zjid3q9OCawXYzNc79y5gAznu5qXdn7VOvV4YcGadK/rKqaM5mndnFnX3ed19vm7+71w5nxsQKavmxOmTZtWGTg6atSo5Bx5QQ/zldwEmeen6/muVK1Tj0k//ujV777WTT8v7Wd1I3kgs3VPnfHP8DuVlGKlQB7e6ZPbcxP4Vn5yxdV3JbPvWXZ99xs0aJCuP3WFr+QBX1jXF2NKO9/TfSdXORFyLu+5k5+8ctGRV199tTJwIMdfWERyQpVRo0Yd9HYQ10O5SSRPy7W5CZSfRPI4l/nJW0MijwJVPPRcBzz4XNkpN8SZG2KE3BFnbogRsifOox5+vpyUNjflls8Qck+sitOzFGfW5ObcBNffd/KV9s8KxZwzFHP2czde1/nJarXm6n+jR4+2ejuGvBJnbogxt8SZG2LMTXGqbfJGrIpTceqf2l8x+84/xZx74s0Ll/V/1dsBuCk3xJkbYoTcEWduiBFyT5zekJvaJrfEqjg9S3GKO3Jj+yvmnKGYs59H4vXmjbNFRERERETEhbxwhE1ERERERCRPUsEmIiIiIiLio3LdjbMNw+gCjACCgFPAM6Zp7nay3D7AAiSlTvrbNM17fSzG+sAsoFSa5XbmRIypr98BGAMUBE67iNObbelujN5uywLAeGAIEG6aptOr/Xi5Ld2N0att6S2GYbQC3gQKA4eB3s7ayFufoTvx+cJn52acXtsO0sSQ6fbgI+3pTpy+0J6Z5mpfaM/8yjCM3sBQbN+To0B/0zR99i7ShmE8BIy9djIQYppmnBdCcothGOWA+UBNIBboZ5rm996NKmOGYSQB+9NM2mqaZk9vxZMVhmG0A1YBVUzTPOjlcFxyty5wJVcdYTMMoyLwLvCgaZo1gaXAvAwWDwWamaZZM/VfTnWKsxLjYmCiaZo1gLeAj3MiRgDDMMpjSyqPmqZZC/gEeC+Dxb3VllmJ0Wttmepz4KIby3mlLVO5G6O32zLHGYZRGNv7/o9pmgawFlvH0pkc/wyzEJ9XP7ssxOnN7eAKd7YHX9gW3InTq+2ZhVztC+2Z7xiGUROYBNyX+vksJ+N+iU8wTXNZmu9zTWAksMKXi7VU84E1pmmGAwOBAV6OJ0OGYRQBUtK2cy4q1oKBCUDGd9v2EVmsCzKUqwo2bHsPHzVN81Dq42+w7XFxphhwLkeicuRWjIZh3AKEmqb5GdiSE1DaMIxaORjnI6Zp/p76eCNQJ4NlvdmWmcboA20JMMY0zZFuLOettgQ3YvSRtvSGVkC0aZq/pD5+F4gwDKOok2W98RlmGp+PfHbutqM3t4MrXG4PPtKe4F5u8XZ7Zpqrfag986PawF+maf6d+vhboK4X48kSwzCCsB1te8nbsbhiGEY4cBswHcA0zW9N0+zm3ahc8nbeuBGjgQWArxfwkLXaJUO5akikaZrHgeMAhmEEAL2w7X10kLqX1x/4wDCMetgOPw4zTfNHX4kRqAFEXzMtGtth9D+yMUQATNP8B4hKM+l+4Kdrl/NyW7oVI15uSwDTNLdktow32xLcixEfaEsvqUGaYSGmaZ43DOM0UA3YcWW6Fz9Dd+Lzhc8u0zi9vR2kiS2z7cEX2jPTOH2hPd3M1T7RnvnUFuBmwzDqAnuALsDX3g0pS54CNpmmuT/TJb2rPrabJE8wDKM9cAJ4wTTNHa5X85pQwN8wjC+B6sBBYJBpmj69Pabu/LkPuAN41svhZCoLdYFLue0IGwCGYTwPnASaA/91sog/MBd40zTN2sDbwJeGYRT3oRiDgUvXTIvHdt5HjjIM415gUOq/a3m9LSHTGH2mLTPhE22ZidzSlp7m7vv21mfoTny+8Nm5E0Nu2A7AN9rTHT7Vni5ydW5pzzzHNM1jwCvAr9jOL+wPDPNqUG4yDMMP2/mbb3o7FjeEArcA36cOCV8IrEjtpPuii9iG5w3GdhR2LfC5D8eLYRgWbCM3BpqmmZTZ8r7EjbrAJZ/8UAzD6AxMdDJrvGmac03TnGYYxttAd+BHwzBqm6YZf2Uh0zRjgT5pHi8zDGMk0AT4ny/ECFzAdvJhWsHAeU/E526chmF0xHb4vn2a4Sx2vtCWmcWIj7RlZuv7Qlu68RQ50pbe4qJ9ZuHG+86JzzAD7nwuvvDZZRqDF9swq3yhPTPlS+2ZSa7OFe2Zm2WS3wYAVU3TPGwYRg/gC8Mw6pqm6dWb8brxm9UEOG+a5p6cjSxjLmKeDpw0TfPK0ZP3sRWaNQBnfZcckUkb90uz3FRsQw29Gm9qLBnFPAn43TTNjTkcUqY8UBe45JMFm2maK4AV1043DKOWYRitTdNcl5pkFhmGMQPbWNBf0yxXGKhgmqaZZvW0V9DyeozAXqCGYRh+pmmmpO7R8PhGklGcqbG2BqYBbTI6BO7NtnQ3RnygLd3h7bZ0U460pbe42G7bAo+meRwGFAf+uma5bP8MM7AXeCyT+Hzhs8s0Ti+2YVb5Qntmylfa041cnSvaMzdzkd9eBH40TfNw6qRPsZ3/Uwr4N+ciTM+N36z2+NaOHFftXBd49cp33DRNq2EYKcDlHA8yDRfxhhqGUdU0zejU5aypRzS9notdxPw/4HbDMB5InRQGbDMMo5tpmutzMsZreaAucCm3DYkMAz4ybJdNxTCMpkAB0o+LLwNsNgzDSF3uvtRpzs5/8kqMqXsfTwCPpE7qCRwwc+gyu4btCjsfAJ0zGa/stbZ0N0Zvt2UWePN76ZZc1Jaeth6oYBhGs9THA4FVpmleuGY5b32GmcbnI5+dO+3o89sB+Ex7usPr7elOrs5F7ZkXmcBdhmGUTH3cDttnccp7IbmtPrnkHEfTdpn2/cB/AAzD6Irtoh6+eu5dPWCDYRhlAAzD6IPtlg/X9ql9hmmabU3TLG2aZlnTNMsCR4BG3i7WMuFu7eKSxWr16tHwLDMMYwC2kwz9gATgZdM0/2fYLiu81jTNuqnLdcd2GVh/4CwwOKdOws5CjLcAc4CS2Ma1/sc0zb05FOMj2H5gD14zqwW2I69eb8ssxujNtiwDfHflIbbknAxcubS2L7RlVmL0Wlt6k2EY92A7QlAY2Af0Mk3zhK/kFmfxpcbgU5+dm3F6LT+nvr6r7cFn2jMLcXq7PTPK1RHAal9pz/zMMIzR2I5+p2C7P9ggXxxWdi3DMHYCQ03TXOvtWNxhGEZlbEcww4B/sN3v7mevBuWCYRgvYOuvpgDHsMWbKwpkAMMwDgL3mL5/HzandUFWniPXFWwiIiIiIiL5RW4bEikiIiIiIpJvqGATERERERHxUSrYREREREREfJQKNhERERERER+lgk1ERERERMRHqWATERERERHxUSrYREREREREfJQKNhERERERER+lgk1ERERERMRHqWATERERERHxUSrYREREREREfJQKNhERERERER+lgk1ERERERMRHqWATERERERHxUSrYREREREREfFSAF1/b6sXXFpHsYfF2AB6g3CSS9+SF3ATKTyJ5Uab5SUfYREREREREfJQKNhERERERER+lgk1ERERERMRHqWATERERERHxUSrYREREREREfJQKNhERERERER+lgk1ERERERMRHqWATn5ackvEtZ1zNE5HcI7NtWdu6iHiL+iHiCyxWq9e+bPqWi1sm7DjldPqwBqVyOBJxQ164Oa1ykxdktJ2DtnXxiLyQm0D5ySvUD5Fsphtni4iIiIiI5FYq2EREJNtp6JCIiMj1CfB2ACIikvcF+Fk0rEhEROQ66AibiIiIiIiIj1LBJl6lYVIiIiIiIhnTkEjxKlfDpEBDpUTEtmMnwM/5RbRczRMREckLVLCJiIhP0/lvIiKSn2lIpORautmuiIiIiOR1OsImuZaGU4qIiIhIXqcjbCIiIiIiIj5KBZuIiIiIiIiPUsEmIiIiIpJFOpdecorOYRMRERGRfOlGbg2ic+klp6hgExEREZF8SUWX5AYaEinZavjw4UyfPt2jz7nnf5+yYvCjREREsPG98VxOTnK63OzZs2nbti333HMP48ePx2q9OjRh9+7d3HvvvQwfPtxhnZ07d9KtWzdat25N9+7dOXr0qEdjF8nLPLG9m998wcoXH2PF4Ef4avxgLpz+x+ly+75fw8oXH+Oee+5h6NChJCYmAmC1WnnzzTeJiIggMjKSyZMnO8TXrFkzIiMj7f9Onjx5Q/GKSO7iiTy196uVrHzxMSIiIvhq/GDOn3KeRzZv3kynTp2IiIigd+/enDhxIt0yb7zxBq1atUo3/eLFi7Rq1crjfSjJnVSwSa7yz1+7+X3NUtq99h5r1qzhUuxZ/ohalm65ozs2s2zZMhYtWsRXX33Fnj17+PzzzwHYunUrr7zyCvXr13dYJzExkYEDB9KvXz/WrVtHx44d0xV0IuKcJ87V+Hf/H+xY9j4Rw6fR+a1FFA+vyvZP3km33Nkj0WxdMJ37hr3F+vXrSUlJYc6cOQD873//Y+vWrXz55Zd8/vnn/Pjjj6xduxaAuLg4hg0bRlRUlP1fmTJlbjhuEck/Tpq72L3qE9qOnsXatWsJLV+ZbQtnpFsu6VI8gwcPZuzYsaxdu5ZmzZoxevRoh2X27t3LunXrnL6OCjVJSwWbODh69CjNmjVjzpw5REREEBERwa+//krfvn1p3rw5L7/8MgBr1qyhffv2REZG0rNnTw4fPgzA2bNnefLJJ2nVqhV9+/YlLi6OlNQjW/v27aNHjx5ERETwwAMPsGvXrizHd3DLeqo0uZeChYvi5+eH0bojBzZ/m265Y7u20bp1a4oVK0ZgYCCPPvooX331FQAlSpTgk08+oUqVKg7rREdHk5iYSMuWLQHo2rUru3fv5ty5c1mOUyQ38OT2/uwzT7P9yGk2Hr/IhB2nGPblNu7u+DCNWrSmcev73dreg4qGcs9zYwgubhuCVKZmfc4dPZBuueO7f+amOrdRpFQZLBYLTzzxhH37joqKolOnTgQGBlKwYEE6d+7MmjVrAFvBVrRoUY+0nYjkjOzol1xxpV+y/IXurBz6OKf2/5FpPIWKFad5/5EULBICwE11biPm2OF0yx3f8zPh4eHUqVMHgO7du7Nx40bOnz8PQEpKCqNHj+aFF15It+7evXvZsmULDzzwQBZbS/IqncMm6Zw9e5awsDDWrl3Lc889x6BBg1i+fDkWi4W7776bTp06MWLECJYvX06lSpWYN28eI0eO5MMPP2TOnDkUL16cefPmcfToUTp06ED16tUZ//M/fD7sOWpHdqVlqwc4ae6kZ59n2LbxO3avXsyf33yeLo4mTw2FBm0cpsUeP0L4bc3sj0PKlCfm2KH0b8JiISUlxf6wcOHC9uRdrVo1p+/bcs06/v7+BAYGcuTIEUJDQ7PUhiK5hSe398j2DxBaoQrWlBQ2vD2K2pFdqZG6vT+xb7ALAAAgAElEQVT77LPcP2Upv0ctS7e9byjoj9FjMDfVaUjR0jfZpx/9dQulqtVJH7QFrCmX7Q+Dg4Pt2/fBgwfp3r27fV7FihX59NNPAYiNjWXRokX2YZKPP/44Xbt29Vhbikj2yI5+SUpKCoMGDaJnz57sr9aSk+ZOvnlzGF1nLHfIUxsK+nMmwZZvmjw1lJvqNCSkbAUALl26xP5NX1Hx9mbpYo49foTw8HD748KFCxMaGsrhw4epXbs2ixcvpkaNGulG+1itVkaPHs2IESPYtGlTdjWp5DIq2CSd5ORkIiMjAahRowZgOyoFEBYWxtatW2ncuDGVKlUCbEeiJk2aRFJSEtu3b6dv374AVKhQgTvuuAOAmGOHiD1xlOr3tAOgjFGPoJBQduzYQd123anbrjvuSE64hH+BQPtj/8CCJCdcSrdcuVsa8b8PJtKrVy+KFSvGkiVLSEhIcPncVatWpVChQqxYsYLOnTuzcuVK4uLiMl1PJDfz5PZetlYDwPn2XqJECf75c7fT7X1Yg1LpTvrf930Uf/+6hXZjZ6eLuVzd2/nl09mcPRJN8i2hfPzxx/btND4+noIFC9qXDQoKIj4+HoDmzZtTrVo12rVrR3R0ND169KBSpUr2PCUivik7+iXR0dEcPnyYLl26MPG3M/Z+ybV5yll+Atj28Uzu+vZzQqvfwi0dHksfc8Ilh1wEULBgQS5evMi///7L/PnzWbJkicMRP4DFixdTrVo1GjZsqIJN7FSwSTr+/v4EBQUB4OfnR3BwsMO8wMBAQkJC7NOKFi2K1Wrl3LlzxMTEOAw5urJcwoXzWC9fZuWLV5NaYvwF23BDFxdgmjx5MitWRQHQ/NkRBAQFcTkp0T4/OSGBAkGF0q1X4dY7qf/44/aC7b777uP48eMu33eBAgWYPn0648aNY/bs2bRp04YqVao4vFeRvMaT23tgYdvfzrb3wKR4ysXFuBXTH1+tYM/qxUSOeJvg0JLp5odWqELjXoPYMG0k3T4MpkuXLvY4ChUq5LCTJT4+3v6e0g49uvnmm2nXrh0bNmxQwSbi47KjXxIbG8vly5dp27at/QhaYvwFEtzMU40e68+nE4bTc+wM1o59nvZj5zjMDwgqRMJZx4uMXLp0icKFCzN+/Hj69+9PsWLFHAq2U6dOMX/+fBYvXuxWDJJ/qGCTLCtZsiQ7duywP46JicHPz4/ixYsTEhLikHzOnDlDeHg4wcVLUSC4MJ3fWuTwXPc1KMX8sTMyHBI5bcgQklo9YZ9WrFwlhyGQ545GU6x8Zadx9unThz59+gDw2WefYRhGpu/tlltusSfK+Ph4lixZYt9jJ5IfZWV7vxR7jqKlyznd3q/spXY2BDrtkMi/Nqzmj7XLaTtqJsElwjKMq3qLtlRv0ZZhDUqxbds2+173qlWrEh0dTdOmTQHbOSrVqlUjJSWFP//8k5o1a9qfw2q1UqBAgRtrIBHxuuvpl5QuXZrChQsTFRWV7gha2jx17ZDIgKBCkJJCWPU6BAQEUKtNJ35eNIuEC3EULHy1MCxWriIHfvnW4XVjYmKoVKkS69ev56effuKNN97g8uXLxMTE0LRpU1588UVOnz5Nu3a20QkXL14E4N9//2XMmDEebjXJTXTREcmygIAAtm/fzpEjRwDb4fumTZsSEBDArbfear/i0eHDh/n5558BKBJWlsIlwji4ZT1g69hteHsUFy9epG677nR+a1G6fzfVaZjutavc2YoDm78lPuYsycnJ/H97dx4eVXX/cfw9SQgSVonsYVU5bCoUUBEFRSAIKItVQaksKlBAESMUtbK4sYkioEWrIhUqRWRRlKVarBqRgtAfCuWoQBQrpCwiIYQly++PScYsk8kEZiazfF7Pk4fMPedmvvfOzJdz5px77u4NK2nSsWuRegd2buN3v/sdZ86c4cSJE7zxxhv07dvX43FlZ2fTr18/duzYAcDrr7/ODTfcUGRKg0gkKc3nPdX+H+D+8/7QQw9x9lSG28/7unXrqNPyN6QfPcSXS1+m+yOzPXbWjh/8kdV/GMzp9DTOnj3LggUL6N+/PwA33XQTy5cv5+TJk6Snp/POO+/Qq1cvHA4HY8aMYc2aNQAcPHiQ9evX06lTJ7+dOxEJjHNpl9SrV4/atWuzbp1zFk9eu6Rwnlq3bl2Bdskv/00h+c8zOHPSuXjID18mUzG+VoHOGjgXIzl48CBbt24F4M033+SGG24gLi6O7du3889PPyM5OZnly5dTp04dkpOT6devH1u2bCE5OZnk5GSGDRvGsGHD1FkTjbBJ6dWuXZsnn3ySUaNGkZmZSb169XjyyScBGDFiBOPGjaNLly5cfPHFdO/uXDTE4XDQ+YEn2PTqLLYtewUcUbTqdUfutIaTXj/3RRc357Kb7+SDyb9nU/koqjb9Dc269QPg+3/9k/3bkrl25KPUan4FVb/5jMTERBwOB0OGDOGqq64CYM6cOaxbt46ff/6ZrKwsvvzyS7p160ZSUhKjRo3i4YcfJjMzk+bNmzN9+nTfnjyREFOaz3vDKzsD7j/v439/L3vcTF/Ob88nazl76iQbnhnn2uaIimbiR+s49N0uti37M4mPPk+V2gk0aHcdq/8wmI9jo+nduzf9+jnzQI8ePdi5cyd9+/bF4XDQs1cv1z2O5s6dy9SpU5k3bx4xMTGMHTuWtm3b+uO0iUgAnWu75LnnnmPKlCnYH2e72iXuLrPI7+LrenD8wH7W/PE+kmOjOBEdxw0POp8rf56KiS3P888/z5hHJpN5OoMqtRO49vePuUbzdENuKQ1H/psJB1iZPbEEnrsLdqH4i3m9KfdmXwk4R1kH4APKTefIn59l5QE5T+GQm0D5yS/KKneJ5CoxP2lKpIiIiIiISJBSh01ERERERCRIqcMmIiIiImErM1szSSW0adEREREREQlbMVEOXUsmIU0jbBK2PH2jpm/bRERERCQUaIRNwpa+URMRERGRUKcRNhERERERkSClDpuIiIiIiEiQUodNREREREQkSKnDJiIiIiIiEqTUYRMREREREQlS6rCJiIiIiIgEqXPusBlj4n0ZiIiIiIiIiBRU7H3YjDEO4EHgt0AmMMtau8YYMxCYB1xojEnL/X2KtTYrEAGLiIiIiIhECk83zh4LPAt8mPv4b8aYAcDrwHzga+By4CHgl9y6EoEys3OIiXKUdRgiIiIiImHHU4dtDPCAtfZFAGPMUOAV4Blr7ZN5lYwxu4BxqMMWsWKiHEzffrjY8oltLgpgNCIiIiIi4cPTNWz1gffzPX4TqAG8W6jeP4DGPo5LRETkvGVm55xTmYiISLDwNMKWCjQCUgCstZnGmM1A4aGUpsBxfwQnIiLBIxSnP3uaAaDRfxEpKyXl01DMt+I/njpsq4A/GWPGWms3AFhrO+YVGmOigE44Fx1Z6dcoRUSkzKnzIyLiG7qcRErD05TIx4EfgLeKKR+Aczrkz8BjPo5LRERERKREmt4s4a7YETZr7S9AojGmXjFVPgO6ARuttdn+CE5ERERExBONVkm48zQlEgBr7X+L2f4DzhE4ERERERER8QNPUyJFRERERESkDKnDJiIiIiIiEqTUYRMREREREQlS591hM8ZUNsaM8UUwIiIiIiIi8qsSFx3JY4yJAZoB1fNtdgAdgMnAfN+GJiIiIiIiEtm86rAZYy4D3gUaFFNlhc8iEhEREREREcD7EbbngH8DQ4H3gbuBbGAQcMRaO9w/4YmIiIiIiEQub69haws8Yq39GGdHbbu1dqW19lYgwxjzlL8CFPGHzOyc8yoXEREREQkEb0fYooCTub+nA/HA3tzH84FPgD/6NjQR/4mJcjB9++Fiyye2uSiA0YiIiIiIuOftCNtuYKQxJhawwL35yi4FLvB1YCIiIiIiIpHO2xG2GcAyYBHwIrDUGNMd+C/QDnjHP+GJiIiIiIhELq9G2Ky1K4GWQIq1dhlwO/AlcBR4EtCiIyIiIiIiIj7m9X3YrLXf5Pt9ObDcLxFJUMrMziEmylHWYYiIiIiIRJRiO2zGmFdK84e0tH9487RIhxboEBERERHxD08jbN2B/GubVwcqA8eAE0DV3MdHgP3+ClBERERERCRSFdths9Y2yvvdGNMTGA+MtdbuyLf9Kpw31X7ajzGKiIiIiIhEJG+X9Z8JTMjfWQOw1m7G2ZGb5evAREREREREIp23HbZLcE6DdOcY0MQ34YiIiIiIiEgebzts3wIzjDH18280xtTDOR1yn68DExERERERiXTeLus/FlgFpBhjUoGTOBcdqQ6cBm71T3giIiIiIiKRy6sOm7X2H8aYJkB/oDnO1SHTAQustNYe8F+IIiISKJF0z8WSjjWSzoWIiASv0tw4+zDwijGmGhAHnLDWHvdbZCIiEnCRdM9FT8cK4Xe8IiISmrzqsBlj4oDpwB3ARfm2HwAWA5Ottaf9EqGIiIiIiEiE8naE7VXgFmAJsAXndMhKwDXAA0BNYJg/AhQREREREYlU3nbYbgaGWmvfLrT9z8aYDcAC1GETERERETlvnq6h1fW1kcfbDtsZYHsxZVuATN+EIyIiIiIS2SLpemIpmbf3YVsMDCqm7PbcchERERERn8vMzinrEETKTLEjbMaYR/M9PALcZ4zpAnwBHAcqAtcBDYHZ/gxSRERERCKXRpwkknmaEvmUm231gGvdbJ8NzPFJRCIiIiIiIgJ46LBZa72dLikiIiIiIiJ+oE6ZiBue5sprHr2IiIiIBIq3N86+HOeUx9ZAVXd1rLXRPoxLAkxLxBakufIiIiIiEgy8XdZ/IRCN87q2o4CGGMKMpw4KqJMiIiIiIlIWvO2wGeBKa+0ufwYjIiIiIiIiv/L2Grb/A6r5MxAREREREREpyNsRtuHA88aY13B23k4WrmCt/cGXgYmIiIiIiEQ6bztsFwOtgL+6KXPgvKZNi46IiIiIiIj4kLcdtheAr4AxaNERERERERGRgPC2w1YD6Gqt3ePPYERERERERORX3i46sgFo489AREREgklmdvGTSTyViYiI+JK3I2yLgceNMdfinBqZUbiCtdbd9W0iIiIhydP9KXVvShERCRRvO2zLc/+9opjyHNwvSCIiIiIiIj6SmZ1DTJTjnMsl9HjbYWvs1yhERERERKREnkb/QTMAwpFXHTZr7ffFlRljagLzgDt8FZSIiIiIiIh4P8KGMaYF0AWonm+zA+diJF19HJeIiIiIiEjE86rDZozpB/wNZwctCjgLxOYW7wEe90t0IiIiIiIiEczbZf0nAU8BFYCTQAucI21jgW+AN/wRnIiIiIiISCTztsN2KbDIWpuJc0XIKGvtMWvtPGA18Iq/AhQREREREYlU3nbY0nGOrgH8DDTIV7Ye6ObLoERERERERMT7RUe2AM8ZY+4CtgJTjDF7gJ+A3+GcJikiIiIiUmq6d5hI8bztsD0CvAdUA6YBHwN785VP8m1YIiLiD2oUiUgw0r3FRIrn7X3YvjLGNM79fV/uEv+34FwpcrO1NtmPMYqIiI+oUSQiIhJavL4Pm7U2J9/vPwDzAYwxscaYntbaD/wQn4iIiIiISMTydtERTy7EOV1SREREREREfMgXHTZw3lBbREREREREfMhXHbackquIiIiIiIhIafiqwyYiIhIxMrM9f09ZUrmIiIi3vF50REKflvMWEfENrbYpIiKBUmyHzRizwcu/EeujWMTPPDUw1LgQEREREQk+nkbYYvHu2rQc4BPfhCMS/DyNVGoUU0RERER8qdgOm7X2+gDGIRIyNFIpIiIiwUpfLIcfXcMmIiIiIhIm9MVy+NEqkSIiIiIiIkFKHTYREREREZEgpSmRUqzvPlnLV+8u5mxGBkc6XkW128YRXS6WPZ+uZ9Prs4m7MB6Aj8tH07jffTS8sjPb336NPZ+uo2q9Rtz48DSiop1vsT2fbeDQdzu5esg4t8/16UtPUbl2Aq37Dymw3RjD7S+upGJ8Td4ecys55BATW56c7BySq1SgTo+7aHJNV4AC5WdPZbDr0iZUvv631G9zjf9OkkgEWbVqFSvn/YmzGRnUbt6ajiMmunJC23ufI7pKdVfdtgNGFsgJ+1o0peF9U887Jywc0LFATlgfG0U6MeRk5xAdG8vlfe8ukBPyys+eyqBKnfq06j1QOUEkjOVvu+TlKaBI2wWceYo2t3psuzz1/l5ieo10+1wTJ04kpdxFxeYpuKhI2yUvT9FmAFC07ZKXp2hzi+9PjoQsddjErZ/37+Vfb87jlmkLqRhfk8NLpvPVu0tofetQTqen0fiarnS8bwLgnA89ffthMn75me+3fEL/OUv54vXZ7P8ymYZXdubEiRN8veYtbpo077zj6jxmMrWaXQHAHdXS6PPb27mwfhMurN+kSHnnU98y6qHxtL9rNE06djvv5xaJZD/v38u0adPo9tTrVIyvySfzphbICb169SKu3wMF9smfE06tftGVE85mpPssJ8yaNYsPoxsB8MtPP/D+pBEFckL+8p++2sqnf3pKOUEkTBVuu+TlKa4cX6TtkufIkSNu2y55eeq55X/lxe9On1dc+dsmeXnq2+5tgQuLlOflqTU1o6De1ef1vBI+NCVS3Drw9ZfUadmWShfVwuFwMHjwYL7/18cAnM1IJzauUpF9jh/8kWoJjYiKiqZ6o6Yc+28KAHPnzqVVrwFu9zkfjRs3pk6rdhz4+ku35R06dKDDsCS2LHmRnBxv7lAhIsU58PWXXH311a6c0KLn7QVyQuXKlYvskz8ntGjRwpUTti171S85oWrdBh5zQt3L2ikniISxwm2XwnnKXc75/vvv3bZd8vKUu9x2PvLy1KZNm9yW5+WpmTNnKk+JizpsYSQz24cfbAfkZGe5HsbFxXH84H8BOJOexv+++Yo1f7yPFQ8NZPr06WSdPYMjygG5ySUnOxtHVDRHf9iDtZbYSpX5+4yHSX5lOplnzu+bqvyyszKJKleu2PL6v+nImfQTHD/wg8+eUyQiOSA7O9v1sNwFFQrkhG3btrlywr/enFckJ2RlZblyws8/7CmQE06fVk4QER8o1HYpnKfyt13y8lRUVJTbtktenho+fLhf2i6xsbHFltf/TUfS0tKUp8RFUyLDiKdlXKF0S7nWbdWObX97hZ/376Vq3QYsWbKErLNnAKje8FLKV65Ki5tuJ+vMaXb86Y9kn1hM8x638fP+vWSeOc3BXdtp2uVmNi+awyvTpnD3qLH0furP/Gf9cvYm/52mN/Qu8py71r7N3s/Wex3jzp07Sf3Pv7lq8Nhi6ziioih3QQXOnEz3+u+KSFF1W7Vjw9t/pls3Z074z4YVBXJCe1OX/13Ri6wzp/lo1h/46t2COWHLli3Et+nO5kVzuGrwg/xz7mRXTnjvvffg4uuLPGdeTvi4fDRHT2cVKS/s8D6rnCASwQq3XQrnqfxtl7w8df+EkW7bLnl5auN7K7h35ss+a7vk5alOM6eSkuq+jiMqiri4OOUpcVGHTdyqltCYq4aM4+MXJhFdLpbRv7uD2IrOqQQXX5foqhcTW54hQ4Ywdc5LtL51GM0Tb+XdiUOp1ewKTh49RHwjQ/Xq1SlXIY5yF1SgesNL2f/lZ+Am6bW46Ta3F+7m98/5U10X7u6oV5PrH3yKShfVLvY4Ms+cJuP4z1xQ5cLzOBsiUi2hMY8//jjTc3PCpdf3KpAThudeyxoTW54Wve7gq9WLC+SExGuv4qfcnHBBlWoFcsLXX2/lAjcdtryckHedLBTNCePHj3ctOlKh6oXKCSIRrHDbpXCeypM/T1WpMsFt2yUvT8XFxfm07ZKXp+rWrQup7r9kzzxzmiNHjihPiYs6bFKsSzv35NLOPQFomrnPdRF/Wup/KV+5qmsueE5OjmtFpWbd+tGsWz9Op6ex7skH6Dl5foFpVOTk4Ig695m4+S/Mzd+IK873mz+mSq0EKtesc87PKSJO/fr1wza6DoCD//l3gZyQllb+14pucsKoi2NJvO0uek6ez9mMkwXqRkdHn3NM+RcV8YZygkh4y992KZyn8rdd3OWp/G2XwnnKV20Xb3y/+WMaNmyoPCUuuoZN3Dp+8EdW/2Ewp9PTyM7MZMGCBVySmwD/b+Uitv71JXJycsg8c5q33nqLhDYdCuy/7W+vcNktd1GuQkUuuugiTv3yM2dPneTQd7uoWq9RQI5h8+bNbPnri7QfNDogzycSLHx6PWuu4wd/pE+fPq6csGPVXwrkhFmzZrlywu6/ryqSE+bMmePKCRdUq14gJzRp0sTn8bpzYOe2gOUET6+BP14fkVDg7/d+4bZL4TyVv+3iLk/lb7vk5an09PSAtl3y8tSECRNKriwRQyNs4laV2gk0aHcdq/8wGAcO7ux/C2dzk177QWNIfmU674wbgMPhoF/3LuR0Heja98i+bzh+YD8dhiUBEB0dzeV972b1hMHExdek6/iZfos7b9rB2YyTbGtQj2uHP1IkIYuEO0/Xs5bmWtb8qtRO4MYbb+SN3JzQuGNX17fY7QeN4fCy5/kgNycktO7gvI9QriP7vuFISgpNbx4FQFRUwZzQ59HRzP/21DnFVZK8KZNnM05SMb5mwHKCP14DkVDn789F4bZL4TyVv+3iLk/lb7vk5ak+ffpwplJ8wNoueXnqxhtvZEsJs4gkcqjDJsVqc9u9tLntXgCS8k0/LF+pCl0eesZVr/DUxPjGTUl8bE6Bv9W0y8007XJzsc913ag/ut1urXX97dvmv+Mx3sLl3kyZFBHvPfDAA5y87s4i28tXqsK8efOK/bzFN27KrNdfL1CePydUqlQJKNhhKy4nDF2a7Pr9tvnv0K7NRXxYzPPeNv8d5QGRCJO/7ZJf4bZLYcW1XV5PGlpsDpk+fbrbssJ5ypOSykVAUyJFRERERESCljpsIiIiIiIRQNfXhiZNiRQRERERiQC6vjY0aYRNxIdK+nZK316JiIiISGlohE3Ehzx9cwX69kpERERESkcjbCIiIiIiIkFKHTYREREREZEgpQ6biIiIiIhIkFKHLcRo0QoRkdCmZbVFRKQ0tOhIiNFyrCIioU15XESCUWZ2DjFRjnMuF/9Rh01EREREJMJppevgpSmR5yA9PZ2kpCRatGjhsV5qaipDhw6lc+fO9OrViy1btrjKjhw5wtChQ+nWrVuBfU6cOMHDDz9Mjx49SExM5IUXXvDLMUjg7f38Q3r37k1iYiL3338/aWlpbuutX7+ePn360KNHDwYOHMg333wDwNatW7niiivo0aOH62fx4sUAHD58mNGjR5OYmEhiYiLJyckBO65I99FHH9GnTx9uuummAq9Xfrt372bAgAEkJiYyYMAAdu/e7SorLp8kJSUVeK2vvfZa7r//fkDT5kLd+vXrWf2Hwax4aCDvT/49P+/fW6TOJ598Qp8+fejSpQvDhw/n2LFjgOc88NJLL3HVVVcVKNuxY0dAj02Cmzf5Kicnh9dee42WLVuydevWAmXLli2jV69e9OjRg3vuuYeDBw+6yv7+97/TvXt3OnXqxP3338+JEyf8fjziX/u3fc7CAR1J+9+BImVnz55lxowZGGMKvA/ymzFjBl26dHE9Tk1NZeTIka789Ne//tVvsYcbjbCdg4EDB3L99deXWG/ixIl06tSJhQsXsmnTJhYvXkz79u05duwYd911F507d+bHH38ssM9zzz1HuXLl+OCDDzh58iR9+/alXbt2dOzY0U9HI4Fw4vBBvlj4POveXUndunV54oknmDNnDo8//niBej/99BOTJ0/mnXfeoV69eixatIhHH32U5cuXk5aWRrt27XjttdeK/P2nnnqKBg0a8OKLL2KtZejQoWzYsIFKlSoF6hAjUmpqKhMnTuStt97ikksuYcmSJUyaNImlS5cWqDdu3DiSkpLo2rUr69atY/z48bz33ntA8flk9uzZBR7fd9999OvXD9C3oKHsxOGDTJ48ma5PvEqlGrXZ+cEyPlvwDDc//aqrztGjR0lKSuIvf/kLzZs3Z/bs2cycOZNnnnnGYx5IS0tj2LBhjBgxIpCHJCHC23w1efJksrOzqV69eoHtO3bsYO7cuaxYsYKaNWsyY8YMZs2axezZs9m/fz9Tp05lyZIl1K9fn2nTprFx40ZuvvnmQB6i+FDm6VNsfetPlK9UxW35qFGjaNWqVbH77969mw8//LDAtkmTJtGqVSsWLFhAamoqvXv35uqrr6ZJkyY+jT0caYTtHDzxxBPcfvvtHuscOHCAnTt3MmjQIAA6dOjgGi1zOBy89NJLBb51yNOtWzceeOABoqKiqFSpEs2aNePbb7/1/UFIQP2w9VPqtmpLzdp1ALjzzjtZu3ZtgTqZ2TnExMQwe/Zs6tWrBzjfN/v27QOcjbHKlSu7/fuff/45t956KwDGGFq2bMkXX3zhr8ORXHmv1yWXXAJA27Zt+e677wrUsdaSlpZG165dAejRowdHjhxhz549gHf55J///CdnzpxxmzMktERFO98zlWrUBqDuZe345acfCtTZvn07DRs2pHnz5gAMGTKEDRs2AJ7zgKcyEW/yFUD//v156qmnKFeuXIHt1atX5/nnn6dmzZoAtGvXzrX/u+++S/fu3WnYsCFRUVE89thj6qyFuO3LX+OS63pQ7oI4t+WjR49m7Nixbsuys7OZMmUKDz74YIHtd9xxB3fffTcAtWrVIiEhgb17i84wkKLUYTsHrVu3LrHO7t27SUhIYPbs2SQmJjJo0CB27doFQNWqVYv9NqFDhw7UqeNs1J84cYLt27dzxRVX+C54KRPHD+yncq16rpGRvx2N48iRI0z9dC/Ttx9m+vbDxEQ5qFmzpms0NTMzk5UrV3LjjTcCzsZYSkoKd955J4mJiTz66KOuaZUOh4OsrCzX88XFxfH9998H/kAjTHx8PJ06dXI9/uSTT4p8XlNSUkhISCiwrX79+q7/pLzJJ/PmzcZMSYIAABJYSURBVGP06NE+iFjKWtyFF7k+49lZmXz78Qc0aHedqzwzOweHw0F2drZrW4UKFUhLS+Po0aMc++V4sXng+PHjfPjhh/Tv35+ePXuyYMECcnI0fVacvMlXUHxOSkhIoH379m73t9ZSrlw5hg4dSmJiIpMmTSIjI8PHRyCBcvSHPfz01RZa9ryj2Dqe/u9aunQpTZs2LfL+6tKlC1WrVgWcM4pSUlJKvLxInNRh85Pjx4/zzTff0K5dO9avX88tt9zCmDFjyMzM9Gr/M2fOkJSURJcuXWjTpo2foxV/yzx9muhysa7H0eViweEg8/Qpt/UXLVpEx44d2bp1Kw8//DDgbOR37tyZBQsWsHr1atLT03nmmWcAuOaaa1i0aBFZWVns3r2bL774gtOnT/v/wMRl06ZNLFq0iEceeaTA9oyMDMqXL19gW/ny5Tl58qRXf/eLL74gJyeHK6+80mexStnb+cEylo64mdTd/0e7O3/v2h4T5eCT6AZ8s3cfD/xlHdO2HWLYMy/iiI7m+W0HadSwQbF5oG3btnTt2pVly5axcOFCVq1axerVq8vqECWIFZevvLVq1So+/fRT13W1x48f5/PPP+fZZ5/l7XdWsH//fhYsWODLkCVAcnJy2PTqLK4eMo6omNJfOXXo0CEWLVpEUlJSsXXS0tK4//77GTFiBHXr1j2fcCOGrmHzwuLFi10XdSclJRVZKMSdypUrEx8f75oGddtttzFjxgxSUlJc0xGK80vaCcaNfYBatWoxderU8z8AKRO71i1n94Z3AHBEx1Ch2q/XA2SeOQ05OcRcUMHtvoMHD+buu+/m/fffZ8CAAXzwwQd06tSpwLejw4cP59577wXgj3/8I1OmTKFnz540b96c6667jipV3M87F9/78MMPefLJJ1mwYEGRz3dcXFyRzvOpU6eoWLGiV397zZo19O7d22exSnBo2fN2Wtx0G/s+/5D3J42k3+wlxMQ6O/YXVKnG9WOfZMuSF8nOyqTpDTcTE1ue2LiKdLqmRbF5YPDgwa7ttWrV4o477mDjxo307ds3sAcnQc1TvvLGkiVLeOONN1i0aBE1atQAnG2e1q1bEx8fD0D5q3uxfPViTl//uwL76vra4Gc/Wk21hEbUanZus7umTZvG6NGjqVq1qtvF1Q4dOsR9991Hly5dGDly5PmGGzHUYfPCoEGDXNeieSshIYH09HSys7OJiorC4XAQFRVFVJTnQc3MzEwefOB+jlVNoOntY5n5f0cLlCvZhY4WPX5Lix6/BeA/G1Zw4OtfV9s69uM+KlwYT/mKBa832bNnD6mpqVxzzTU4HA569+7Nk08+yb59+7jwwgspV66c6z/EnBznNW/gnOoyb94819+5++67adq0qb8PUXBeP/j000/z+uuvc/HFFxcpb9KkCSkpKa5ckJmZSUpKitu67nz88ccMHTrU12FLGTn23xQ+z/gGKjTF4XDQpGM3vlj4HL/89D3xjX79zCa0vpqE1lcDzoVKdq1dRrkKFTl48GCxeeC7776jfv36rhHd/GUiUHK+KsmKFStYsmQJixcvplatWq7tCQkJBVaFdERF4yihvSPB6Yetn3Jk7272f+lcbfrU8WO899i93PDgE2Re0b3Y+7Dl3aNt48aNbN68mRkzZpCVlcUvv/xCx44d2bhxI2fOnOGee+6hf//+DBkyJIBHFfr0afKTpk2b0qBBA95++20A1q5dS+XKlWnQoIHH/d58800qVqzIVYPdX8gpoalBu+s4uGu7awGRXevepsk1RUdqjx49yoQJE0hNTQXgyy+/5OzZs9SvX5/ly5fz2GOPcebMGbKysnjzzTddqws+8cQTvPHGGwBs3ryZ1NRU2rZtG5Bji2QZGRk88sgjzJs3r9jGzyWXXEKNGjVYs2YN4JxKlJCQQOPGjUv8+0eOHOHo0aNe1ZXQcOr4MSZMmMDJo4cASLU7yM7KpHLNeq46Z06m8864AZw4fJCcnBz+/c5CLuncE8DrPPDLL7+wcuVKr1Y0lsjgTb7yJDU1leeee45XX321QGcNoE+fPqxdu5aDBw+SlZXFtxvXULdVO1+FLgHUfeJsBr7yPgNefo8BL79Hxfia3Pz0q9Rp2dZ1HX7+H4AXvz7q6sht376d5ORkkpOTWb58OXXq1CE5OZnY2FjmzJnD1Vdfrc7aOdBXb6W0c+dOkpKSyMzMJCsrix49egCwbt06duzYwQsvvOBabnnu3LmMGzeOV155hfj4eObOnUtMTAz/+Mc/mDlzJqdOneLw4cP06NGDWrVqsWjRIpYuXUpGRgb/emig6zkbXXUDv7ljeJkcr/hGxeo16HDPw4wePZr/pZ8mvlFT2tx2DwCHvtvFtmV/ZuLbb9K+fXtGjhzJ0KFDyc7OJjY2lueff55KlSoxfPhwpk6dSq9evYiKiqJ169ZMmDABgLvuuovx48ezePFiqlSpwty5c4mOji7LQ44IH330EUePHnVdZ5jntddeY8SIEa5O2rPPPsvjjz/O/PnziY+PZ9asWYDnfAJw8OBBqlevXuLIvISO2s1bM3LkSOY+/SDkZBMVE0vnB6Zy9tRJ3p80gokfrSM2riIte97B2qljyMnJpu5l7bm8r3Nqmac88PTTTzNp0iRWrFhBVFQUt9xyi6bTiou3+ap3795kZmaSmprK+PHjKV++PDNnzmTTpk2kp6czbNgw174xMTGsWbOGZs2aMX78eO68805iYmK4oHErLutTcDqkhLZD3+3invmLuHTMDDKOHWXtE78uhLX2iTFseTaWRYsWFenM57d06VJq1qzJJ5984to2ePBgBg4cWOw+4qQOWym1bNnS1Zgq7PLLLy9wb5yEhATXCFt+Xbp0KXZ57vXr1wN4vMeShKbGHW7k5VF3FHlta1zSgsRHn3c9Lm4KbmxsLE8//bTbv33xxRezYsUK3wYsJerdu3exDeK8xg84b7WwbNmyInU85ZO88s8+++z8A5WgMmjQIH5s2aPI9n7PLnb93qxbP5p161ekjqc8UL9+fRYuXOi7QCWseJuv8v+e3+WXX+7xHn99+/Z1XS+pNkz4uG2+81r8yjXrMPu115i+/TAVqlWn/3NvFajn7pKdhIQE/vGPf7gef/311/4NNozpa1sREREREZEgpQ6bSJDIzPZ8v6SSyiW86PUWdzy9L/SeEZGyojaMf2lKpEiQyLuYtzhaITSyeHo/6L0QufS+kLKWtxqgSH5qw/iXOmxlQMlOREREQpEa5iKB58jJKbMhyogeGy0p2eWV79nyGaunTeBQyreBCk18pEajS+nzyEwubn+ta1v+17YwT2V55SEgHL6JCJrcVPj9oHwQ+mo0upS/vf4ym6td5rbcmzxQXPnDV8R7/DIwwr8sDJcDD4r8VNJ79L5XVilXhaBmzZpx7bhpBdot+UVAG6aslJifNMLmJ776j3Hl00kc+WGvDyKSQDuU8i0rn07i4VWbyzoUCULnkiOUD0LfoZRvGTFiBMP+9rnP/7ZGPiRYKFeFpt27d3PIT+0WT//nRfiXSV5Rh81PdJ2B+JqSXXhR41oCTTlERMqK2sXnRx22cxSo/9z6PTabd6f/gf/t+8bvzyW+VbNxU26ZOMNnf0/JTpQPQl/Nxk15+eUFlMW4u6cc8vAV8R73VYcuspzv661cFZqaN29OxwefCfjzlvR+U/4pow7b1KlTY8aOHVsWT10qJb1B/rTzaLFlv29ZnZyTx92WHTsWU2xZ4fImLS/nwTfXFvi7xT2vpzLtG5h93ZXlf609vfaleV8UdvhodFAkuxdeeKER8OPkyZMz/f5kfuDr3FTSeS/t652XD0Llva993Ze3aVmdL4opO588cD77njge4/F47mt+YUiPzoV6bgLf5idvXjNP7/2S3meF2y759w22z6P2LVp2LjlG+efceZOfymTRkalTpzYC9gX8iUUkEBpPnjw5payDOBfKTSJhLWRzEyg/iYQ5j/mprKZE/pj7b+Myev7S2odi9YdQihVCK96yjPXHkqsErR8J/tc4lN6H5yoSjhEi4ziD6RhDOTdBcOenYHqdfSUcjwnC87jC4Zg856ecnJwy+ZkyZUpOWT23Yg2On1CKNdTiDaVY9aPXNhKPMVKOMxKOUT/h+TqH4zGF63GF4zEV/okKUK/Rnall+NylpVj9I5RihdCKN5RildKJhNc2Eo4RIuM4I+EYJTxf53A8JgjP4wrHYyqgLG+cLSIiIiIiIh6U5QibiIiIiIiIeKAOm4iIiIiISJAKyCqRxphbgCeA8sARYKS19ms39b4DHMDZ3E3/tdbeGIgYC8XhbbxXAH8CLgIO59bbEeBYywHTgCSgvrXW7SozwXBuSxFrMJzXLsCzQEXgB2Cou3jL8rx6E2MwnEvxDW/zUigzxtwKPA5cwK/v17A6xjzGmF7AGqCxtTaljMPxOWPMWWBPvk3/stbeXVbxiH+EY14K9zwUTrknkvKM3ztsxph6wCKgo7V2lzFmFPAy0NFN9WrAZdbaA/6OqziljHcp8Ii1dpUx5rfAEuCywEULwGpgqxf1yvzc4n2sZXpejTEVc2PoYa3dZox5GGen52Y31cvkvJYixmB4j8p5KmVeCknGmAbAAqCdtfZ7Y8xY4HXgyrKNzPeMMXHAdKD4O8WGMGNMJSDbWtusrGMR/wnHvBTueSicck+k5ZlATIk8Cwy01u7KffwZ0LKYulWBYwGIyROv4jXGXAZUs9auArDWLgdqGmOaByxSpyestZO8qBcM57bEWIPkvHYB9lprt+U+XgAkGmMqu6lbVue1xBiD5FyKb5Qmj4aqs8Cd1trvcx9/BJgyjMefpgBvAmllHIe/BMP/N+J/4ZiXwj0PTSF8ck9E5Rm/j7BZa/8HrMu36SZgc+F6uSMG0cBCY8zlOIehJ1prP/d3jPl5Gy/QFNhbaNteoBnwH/9EV5S19ouS6gTRuS0xVoLjvDYl3xC7tfaEMeYIcAmwPW97GZ9Xb2IMhnMpPlCKvBSyckepDwAYY2KAIThH5cNK7hcp3XB+Yz+qjMPxl2pAtDHmPeBSIAUYZ61V3gkj4ZiXwjkPhWHuiag8E9BFR4wxNwLjcn8KiwZeA5611rYA5gLvGWMuDGCIBZQQbxxwqtC2DJzXEwWboDu3HgTDefU2hrI8r97EGAznUnyshLwU8nKnIKUC1wF/KONwfMoY48A5Gn6/tfZsSfVD2EngbeAhoAWwHlid2wCWMBRueSnc8lCY5p6IyjM+OyhjTH9gppuiadba14wxfYF5QO98w+cu1trjwH35Hi83xkwCOgAf+CpOX8ULpOO8IDW/OOCEbyMtOdaS9g/kuT3fWAmO8/onb2II9Hu2EG/OU8DOpQSGF3kp5FlrXzDGzAUGAJ8bY1pYazPKOi4fGQ7sstZ+VtaB+JO1dh/w+7zHxpg5OKdiNQXC8n0bycIxL4VhHgq73BNpecZnHTZr7QpghbsyY0xX4AWge3FDlbnTyxKstTbf5vyr7/nU+cYL7AaaGmOirLXZuT16v7xJPMXqjUCe2/ONlSA4r8aYnsCd+R7XAC4Evi1UL6Dv2UJ2A3eVEGPAzqX4n5d5KWTlXltZz1r7obU2B3jLGDMf5/Uj/y7b6HymD9DOGJO3OFANYIsx5nZr7cYyjMunjDHVgOrW2r0A1tocY0wUgcmNEkDhlpfCOA+FXe6JtDzj9ymRuSvSLAT6l/BhrgVsMsaY3P265W4L6Hxob+PN/RbpIDAwd9PdwD5r7Tf+j7LUguLceiNIzutGIMEYc23u4/uBNdba9EL1yvK8lhhjkJxL8YFS5NFQVgP4izGmLoAxpiNQjqLXYYYsa21Pa21Na21ta21tYD/QPlQbTB5cDnxsjKkFYIy5D/iRMHotJWzzUljmoTDNPRGVZxw5OTl+fQJjzECcH+iUQkWdcY7wrbfWtsqtOwCYhPPaoJ+BhwK9MEYp470M+DMQj3Ou873W2t0BjLUW8M+8hzgXocgE8u4DFjTntpSxlul5zY3hepzfGlYEvgOGWGsPGucyxkFxXt3FmBtHUJ1LOX+e8pK1NjXwEfmHMWYMzovho4DTOG9J4e/pxWXGGJMCXG9D/F5I7hhjHsT5WmYDPwGjw6hRL4RvXoqEPBQuuSeS8ozfO2wiIiIiIiJybgK6SqSIiIiIiIh4Tx02ERERERGRIKUOm4iIiIiISJBSh01ERERERCRIqcMmIiIiIiISpNRhExERERERCVLqsImIiIiIiAQpddhERERERESClDpsIiIiIiIiQer/Aa6yuSUMXultAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3,3, figsize=(15,10));\n", "# Plot the posterior distributions\n", "for (r,c), ax in np.ndenumerate(axes):\n", " pm.plot_posterior(estimates2[:,c,r], point_estimate='mode', color=color, ax=ax)\n", " \n", "# Setting labels for the outcomes\n", "for r, ax in enumerate(axes[:,0]):\n", " ax.set_ylabel('Lambda {}'.format(r+1), fontdict=f_dict)\n", "\n", "# Setting labels for the predictors\n", "for ax, title in zip(axes[0,:], ['Beta0 - Intercept', 'Beta - Predictor 1', 'Beta - Predictor 2']):\n", " ax.set_title(title, fontdict=f_dict);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model (Kruschke, 2015)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('images/fig22_2R.png')" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 475 entries, 0 to 474\n", "Data columns (total 3 columns):\n", "X1 475 non-null float64\n", "X2 475 non-null float64\n", "Y 475 non-null category\n", "dtypes: category(1), float64(2)\n", "memory usage: 8.2 KB\n" ] } ], "source": [ "df3 = pd.read_csv('data/CondLogistRegData2.csv', dtype={'Y':'category'})\n", "df3.info()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "cluster2 x 3\n", "\n", "2 x 3\n", "\n", "\n", "cluster475\n", "\n", "475\n", "\n", "\n", "\n", "zbeta0\n", "\n", "zbeta0 ~ Normal\n", "\n", "\n", "\n", "y\n", "\n", "y ~ Categorical\n", "\n", "\n", "\n", "zbeta0->y\n", "\n", "\n", "\n", "\n", "\n", "zbeta\n", "\n", "zbeta ~ Normal\n", "\n", "\n", "\n", "zbeta->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Standardize the data\n", "X = df3[['X1', 'X2']]\n", "meanx = X.mean().values\n", "scalex = X.std().values\n", "zX = ((X-meanx)/scalex).values\n", "\n", "# Number of categories\n", "n_cat = df3.Y.cat.categories.size\n", "# Number of dimensions for X\n", "zX_dim =zX.shape[1]\n", "\n", "with pm.Model() as model_cond_log2:\n", " # priors\n", " zbeta0 = pm.Normal('zbeta0', mu=0, tau=1/20**2, shape=n_cat-1)\n", " zbeta = pm.Normal('zbeta', mu=0, tau=1/20**2, shape=(zX_dim, n_cat-1))\n", " \n", " phi = pm.invlogit(zbeta0 + pm.math.dot(zX, zbeta))\n", " \n", " mu0 = phi[:,1] * phi[:,0]\n", " mu1 = (1-phi[:,1]) * phi[:,0] \n", " mu2 = phi[:,2] * (1-phi[:,0])\n", " mu3 = (1-phi[:,2]) * (1-phi[:,0])\n", " mu = pm.math.stack([mu0, mu1, mu2, mu3], axis=1)\n", " \n", " y = pm.Categorical('y', p=mu, observed=df3.Y.cat.codes.values)\n", " \n", "pm.model_to_graphviz(model_cond_log2)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [zbeta, zbeta0]\n", "Sampling 4 chains: 100%|██████████| 22000/22000 [00:54<00:00, 402.63draws/s]\n" ] } ], "source": [ "with model_cond_log2:\n", " trace3 = pm.sample(5000, cores=4, nuts_kwargs={'target_accept': 0.95})" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace3);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(20000, 3)\n", "(20000, 2, 3)\n" ] } ], "source": [ "# Transform parameters back to original scale\n", "zbeta0 = trace3['zbeta0']\n", "zbeta = trace3['zbeta']\n", "\n", "beta0 = zbeta0 - np.sum(zbeta*(np.tile(meanx, (n_cat-1,1))/np.tile(scalex, (n_cat-1,1))).T, axis=1)\n", "beta = np.divide(zbeta, np.tile(scalex, (n_cat-1,1)).T)\n", "\n", "print(beta0.shape)\n", "print(beta.shape)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(20000, 3, 3)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Join the two multi-dimensional arrays\n", "estimates3 = np.insert(beta, 0, beta0, axis=1)\n", "estimates3.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Figure 22.7" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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wpi1JWqAqPZ+vKa5hbuVcbpp5E/Mq52FJix0tO7Ln+sSNTyDoacUYtjHqP7B8nOwP74qaK/jUgk/xq6t/xYLKBdnnvYqXuxbdxX2r7kOkbyVrj609JeeQj8y1ufnsm5lbMReAs4rP6vdmlMupEqNM1DdhJXpEnm9/9vYRn6M9Pb5do0zIo7CiOkB1QEMg6ExZvNoUpymedps6ain/851c8cw1lLdtJ+Yr53DFSia0bSGQ6mTNrDuJKyEuiqxBIug2ZI7QxTBsyaLKAAsrfLTELZ47HMUaQOjmlvuYGNLI9BRqaTzAlmQRlpXjxtkmHHwRfnQ+PPwOMJNQOhVmXTfo+WYsucz+MyKXeSFpSZAiu50QYNrOvwiwpewxv5iwnLk8TTiW3CO7HuGejfewu203dZE6Xjj8Aq+3vI4qVGaWzsy+b1rxNJ668SkeuuYhphVNS+8rkfcHNtqc6A8vc/5xM87V06+mLd6G3q5nBU0iSdkp2hPtyPSnXBWsOmXnkStMcx+Yy8IHF/LeZ9/LumPreHjnw7zR+gYAezr2kLJTWNJiQ/2Gfvd1qsQoE/X9+ZU/5483/pHvXvrdUxYEeUvOyQH4VIWlVQG2tyY4FjWJGTabm+PMKvExdc33EFseohS4/PUv88K5/0Fz0dnUVqxkSut6GkvmsP6sD7M0cYDzwwHWNsTpNiWFmqA2YgIxllYFWVIVxJKwvTXJc7VRrpkSQlH63ldUIVhUGcCwJbXdBqrip750PjumvoN5M2cjhAJ//TLYBhjpylShKrj9D6CoQz7njMiJXEtOQMq2kTguq0xbcIYtUQAFiWE784UZ4qaNKSVeReBXBU/uf5KdrTt5eNfDKELBljambRLyhLh11q08susR6qP1XDv9WkKeEE2xJhpiDdn9Zay9sWawVJh8wZHe55+0ejSLwrANvre5Zz3Yzy757LDHN9TE3tzcOIHAlCZbm7fykb98pMf+MvNzmfe0J9r7pJGc6GcyGJmobwa/5j9lkee3rMgBaIpgYYUfv5biUFeKlA07O5J0Fy9jtu/3KN4QxZFjXP76V/jbnH+jofhcDlWex5SWVxFFFq8VzWWRKVlR5WddY5xuAwq8UBsxkdIRuuXVjtC90ZbkT3VRrprcv9B5FMGSygApW3JUzoDys6idcwMFpT5mFHvhlfucRGQAzQ8f+gsUTRjW+WYstR5zcjiClruBIgQpW6II4biXAgJqT0vOssGjOXN1dy68k3u33Mv+jv0YtkGxt5gV41fwqUWfoipYlRWBB3c+iCpUpJRY6XxDBYWZzQec9JhoM3gLoOZCuPIbUDa6Caon+sPrff7guPmOq9/Xgi/2FlMdrB72+AZLus4IVK4wHYkc4cfbfkxtpLbHvjJpPEI6uYsC0a9onUoxGigiP5K8JUWuJW7iVQVFXjU7LxZQBbvbk5i25PCUa4l98AYWVvjxPPtZCjf+nNWvf50X53yeY6ULqa04j4mtG1GKJrG5JcH8ch/LqgJsaEoLnQfqoiY0OUK3clwQy5bs7kjx5yNRrpjUv9D5NYVlVUHW1kdpjJtgSnZ3JAkdWcu4jMABnP8vTnJyRx2EKsHjH/B8M+LWM5jgvCCAlOX8kdlOVcA2JR7FmY9TBAS0npachSTkcXLBVk5cycqJK/Me/86Fd3Lni3eSsBLY6eVxGVcuKAS37l0PUhkwPWa0liedyA+v9/kf6jxEJBVhX8c+vvnqN0lZKW6eeTPzKufxzVe/SbfRzUO7HuJj8z82rLEN1arKFaaFVQu5YOIFXP77y7Fsi6pgFa2J1uzNaFH1Il4+8jII8orWSIlRn2uoBYmaUTSh9RuRHynecnNyUkp2dSRZ3xinIeZcVCEE04q8LKwM4FMVkJLmuMm6xhjRK/8X/vl5QlaEVTu+yeTWDRieIurOeT+Fk+ZQ4lXY1pokakoWV/qxbEm3IVGF5EjU5LWmGClLcsH4IDOLvdR1m7xwNIadZ46uwKOwvDpIqU8jYUmi0W626dvpCEw8vtEr98EPl8H3F8GzQ3d7cufcwAlECCEwbMe6yzQaV9LBBo8CtnTcaX+OyCUsZ7vAIHmAGVZOXMm9l97L7PLZ+FQfilAo8ZVwdc3V/K76Sqq0INz4f/DRl+HGH4PmPZ4ek2Y0J6oPdx0mZsbwKB5g+NHH3gEYG5vmeHO/AZnhMFjSdS5SSq5//Hou+M0FXPToRSStJEFPkMeuf4zXbnuNqYVTsaXNC7UvkLJT/Ua5M3N75//mfA52HaQz1Zm9OZ2IGPW5hmmr16f5uGvxXYMGQU6Ut5wlJ4TgrGIvezpSbG1JML3Iw8xiL0IIxgU1fGqAzc1xkpakO2Wz/nA9C5+5izIrRcBKcenB+3np3Js5ZGgciRpMDGoIofJGe5JZJV4WVPjZ2pIgakDIIzgSNZFNMZZVBbl4QhBLSg50GbxYH+OyCaF+k5FLfCrLqwOsqW0h0rgb4a9m07T3cv7e/8NvdIERO76xJ9Tn/b2RPb3R4+6qPO6uCiR2ThqJLSWaomLaEp8qerircdMmYSR4aOdD/MtfHxmSZTWgtXflt47/XTET/vIf0HWsR3rMqZob6k0m3SLXEsv88AazvHrPPf5s+8/Y1LgJBYXqUHXegMxwGI5VNVDe4kCvZejhHitebOysmHYkOoZtjea7hpZtUewrZl7lPDY0bBjxOdq3nMhJKdnbmSJlSYq8Cge6DCKGzbxyPx5FUOpTWVEdZGNznO7uLlK7n+G1ye9kDk8yKbIT/43f5+ISC7U9yYGkl6NRi4khDcWnsKsjxcwiD+eW+9jRmiRq2IQ8CsdiJq81x1laGeDSCUEsGeNAp4FKlIvzCF1Vsp6l//g0a6e8l7i3jPYihU3vWc/yqRPQlL7bD+3cnX9z3y5wUkIURSBNO+u2Sgke4fSC9KmixzHjpk230c2etu19LKuTXgeZJz1mNCeqa4prAJhbOZenDzw95B/eQAGIJ/Y+weN7H+8RkDlRhiJQg4n1UIR8IFGysYctRrnX8JFdj2TTUGxp83rz6yd9A8jHW07khBAsrQywqTlBV8qizKfSkrBY3xhjUUWAkEdxUkz8bWxe80vaPeUgJTum3kK0ZR1n/+bd+ICL0FDPv4991ZdwJGoyPqRR6Ye9XQYzijzMLvOxsy1JzLQJaQrHogYbJCyt8rN6YpA/H4myt9NAVWJcMC7YU+i6jsFPL2VytJnFluTVmXcQr15Ec9Rg++E6Fk6sRHgDQz7nbApJf3lyAoy0BWdJ5zVbOltqqpNKkuuWSinpNiXFvgLeNv0KVk64Y+Qsq7YD8Mg7nfSYqll90mNO9UR1b0tsT9ueYf3wegcgQloIVVFJWAlM2+wTkBmIgeYgh2ppDiTWQxHyqUVTKfAW8Lfav3Ht9Gsp85chkdjYCMQJiVHmGh6OHM7OzwI8tucxLGmd9A2gP95yIgfOj3ZFtZM+0hR3hK4r5czBzS/3U2k04fvFKpZF29lW804ai85BM+McKF9OVCtkXu3v8dgxLohtQC25Ar0jxbGowfigRpVfZX+nQU2hxqxSL7vbU8SkTVAkaDiwn9deWcPSXT/gck3jT8u/z25rGYoQrKwOHBe6v37FiTQCZzW+SNxbymblvXRbcY7G6wnuTTDrik8O+7wzQdTcFBIAy5aoSs5jKRGApiiYtuyRPpJM58gVeIK8reZGyv3OV+ikLav2w/CzyyHR5QRT8qTHDMWKOVEGS4UZjMECMMNhsEhqZt6vP4EaSKxTVop7Nt4zZCF/Yt8T7Grbxa/e+FWP54Na8ITF6HDXYUQ6cp+58RZ4CjhvwnlDugEMl7ekyMHx9JE9nSkOdhkUelUsW7KpOcHZbzzMtGgzqqKx8Mjj7B4f5VD5cjxmlMbpN/DqVfewuMKPX1NYmV7gvqs9SX3MpDqgUR1UORQxmVygcXaJM/9HVwPBjloagtN4beaHWbr/F1z50j/x3OL/ZadyHSqwPCN03uPzbAKYW/c4cW8ZOybfSETa7A+GKOg2mGTWwz++BXv/MqT0i6y7mjMnZ8vjS7psnEhUZm5OEY7gBbS+6SOq4uTOjcji8446+NlqiLVCsCxveszJzJcNhcFSYUaT/lzFT//t00SNKI/teYyrp12dV6AGEuvWRCu/euNXQxbyOxfeycde6PnZehUvD1z9wAl9Jv1dQ8M2uG32bSNyDfvjLSty4Hzg4RIfBR6FHW1J/Iqg1Kewp3ABkcm3cG7d46hWlHNqHycQa2T3hKvxCEkkZbOuMc6iSj/FXpUV1QE0ATvakjTGTSr9GuOCGnXdJhNDGtOLvRyIBiBQSbB0Io01F7IhfC3L/vQOrtr2HzxbPY/XxTRUBZZUBhDXfQeuO173SwBLpCR2LMb+riRCU9nRliC480HKhlGdJBt4yFpyEsuW6dQSZzJOKBm31Ym2Cnou3YpbTiJwUDiJwCdtWXUdg5+tckTa44dbfjlgesyJzpcNhZG0xE6W/uYgbekkbf/f1v/j/u335xWogcS6rqtuWEJ+/qTz+eONf+wjSi/WvYhH8ZxQWs+pvIb98ZYWuQwTQx6CmsKWlgQRw2bcrAuon3Ie3dZXWLTjOwT0p6hpXY9fmGwvuQM11YnpK+bVxjjzyv2MC2osqQqgCsHrbQma4iYVfoUJIZVjUZPqoEbNuIkcDlURUxWCmqDJN5MNZ9/Bsp33cnXbEzxT/q9sa0miCMGiCn+fYIQqBOePCxI3bY5GTRQh2VJ8HisKpxC6/O4Bq5NkXILMv7m7NjMuLCKdHOwszhcCLNsRux7pI6ZjyQU1BVVRTt6yyrjmqgcQ8Jt3O8/bplOQ4IYfAic/X/ZmZH/7ft71zLv6rKAQiAEFKp9YH+g4wP2v309dVx0pK0XQE2ROxRzuWHAHkwsn5x1HPlGqDlYPKTk5w1hdQ1fk0pT6VM6rdgISjXGLCUGVpl1beSVRwUJRRJnWxbi2rfg2fpnNnf+MteB2PN4AW1sSnF3iZVqhh0WVfjRFsKU1TnPCptyHI3Qxk0q/yuQCD3XdBnEUAkYHzf7JbDj7oyybtIirpxTwTG2ELS0JVAELKvoGFryq4NKJIZ6t7aY9YaFWLmbTe9ZzXnXQqWeXJ/0ig5SOWOW6q6ZNVgLTW2FLgQJYOK54j/QRS2KnE4FhBO7K3pDTP8NKOf/nkpMec7LzZW9GtjVv6yNwAAEtwDM3PzPsCPZQV0xkGEyUhpvWM1bX0BW5HDIBiW2tCY7FLKqIE8HmtVU/Y1ZFMVPaNlP61B2s2PNjNk1aRLx6IUFNYU9HiqhhM6fMx7xyH6oCm5sTtCZtbAkTghrHYiZlPoWJBR6OdkaheS8BadNSNo8NpZewVMA1kwt4urabTc0JFCGYV953JUNAU7h8UoinD0foSNmoismWlgRLKv0oda/2X50kU4WkVwqJxJlzS9t36Y0di04VYEuB1seScyJi25teY23dxrw/gCGvUOjlmufjdJovGy0Wj1vM7bNuZ0bpDCLJCN/f+n0M2yBmxk4ogj3SolQVrBpWWs9YXUNX5HqhKY67uKczxcGpV1Jy9tUEgF1Jm66J1zInVEWos47l7S+wZcoS2hMWRT6Fo1GTmGmzsCLAnFIfmoCNzQnaUzY2kglBlfqYhZ2KU33oGZoKZkCgmuDEubQknEKdy6oCXDvFEbrXmuKowJx+hK7Iq7J6UgHP1XbTlrRRhMHORAtzHnknop/0i7wpJPK4u5pZ8pWRs8ycnKYKfL1y5CSw7tjf2djw+7xRt7VH1w7LahiM02m+bLSYWjSVzy//fPbx34/8nc1Nm7GlTX13PR/40weGNR823FzDoYjScNJ6xuoauiLXD5mAREhTeKM9SUAVTAipHG08SrT6ehamfodv0qJsFZPGmEWRV6Ej0sm6XX9i8fb/Idy+G23i1bw661N0Fk9HSi8TtATH6g9ha8VURg/SXHMNMXwEJbQlLEfoKgNcM7mAZ2q7ebUpjqLAOaV9ha4qoHHxhCAvHInSGo2jHfoLBYXnUqPuzZt+ka1CknkMWLadzY1zzj2zlMsJQAQ0pcf8YLdhowo4p2waGxvogyIUPIpn1FYonKlkXMVrpl3DXX+/i7ZEGzHTWemiCY0n9j9BXeT4lESmC9dgN5FTIUqVESszAAAgAElEQVTDCT6NRYtEV+QGYFKBh5BHYXNznKb2Nmpe/Tq1RXN5Zc6/snD61ZQIwYJyP7vVFIcjBoVH1hJv3s/6ibewwP5/nFX/F5RkJ6+e/XE6qxdjN29nfOce6ssXYpUuodxj02YkieEhqGnHha4qwNVTCnj2cDfrGuMoCMKlvj7jqyn0sryghXWHjtASmMLOKTcSXHYVVb3SL7IL9HFELCNaEseSEwgsKbPurJTgTUdZgzmuqmVLEpZTR+7Kmkso8Sb6iFhuz4bVU1f3+EJLJCYmDdF+1NGlB7muYmaNZwZN1aiL1KEIBTXdRS6zTdJMDnoTGclcw+Gm9Qx3XnAkOC1ELhwOnws8CXxX1/Uf9HptC5BbM/s2XdePjtbYSn0q5/lb2bz+YQ4XL2BK5A2aFn2NDc0p5pQJJoY8nFPqI6AJdvsqCcndWDNWsWnuuzknsYvpT70Hbc8PeEW7iw5vGbJoJuPbd9AgJdLooiTZQmfFfGKlNQQ9Cu3J40J31ZQQz9VGeaUxhqLAzOJeQtd1jHMfvYTI+Jt4fcrbaau4gm1tKVas/TSF+5+DWIuTOzfrvXDuJ5Ghsh5LuqR0EnsVJBaS4y8561YTlqTA06tYZiqG2rKXGc9+jvntu7O5ef5LPt/H9dnatJVNjZt6DFki+eUbv+SWs285Y1vgjQS5rqKCQsgToqa4Br1NJ2WlWD5uOZ9Y+IkeNxjDNrCkNWAy9qnINRxO8GksLPwxF7lwOBwCvg+8kG8bXdcvGbUB9aajjuAvV7Mi3sm2sz7A4ZVfYUJhMXHL5vXWJJGUTbjEaQzjn38+2yctxqtAoaqw07+C6NRbmLX/ES488hvWVlxFW8E0bBSq27fSWDIXG0GR3U1E2sQMp2pxrtBdMTnE83XdrK2PowAzcoUunX6x4sAviAQncZAVtMSOscmo5LxkHF86d07WrgN1KnLJLSgcf7+UTpqIEAI7Y8bhWHtKuhx6SMuNrNpYbYfxtu3H33UIqfm4obKAtvhWOv98O9DT9VlUvQgAVajZ4o1A9u7tuqz5yecqfvD5D7KhYQN+zc+CygXc8MQNtMRbspacpmiDJmOPVJ7aiaSEjOYa5AxjLnJAErgG+Hye1wtHcSw9yUlU1Tx+Fi2/Ft1vc6ijg7JQkAkhL4cizgL/+el8Ob8aYFNznJhhURGv43DhuUTP+iALFl7MRdOuYU19lNaERdOkJYzze2iMm3QrgpAGUUMSNW0KNIWO1HGhu3xSiD/XRVnTEEdJl4UCsukXwkqxatt/8uTSe2kumoVqJ9m8+G6WLbkMtWE7vPQTsC1k3UbEpAuyp2dx3IU9HpxwRE8IZ/VDj9UOpsRUfBRbUbTr70WOX8DhZ29BlTYeKTGE6OH61BTX9Egk/cb6b5C0k9lWhG8l/lH3D77w8hfoNo537ir1lfKNC77BhZMu7Pc9A4nIWSVncf0T1/fpEObX/Hldz/s238dT+58ikooQN+NZd1FBOaE8tRNNCRmtYpkZxlzkdF03ATMcDufbpDwcDj8M1AAvAnfrut67AdWpoVeiqvjtu5kFFBSfyxvzPkNg5sXMKPJwMGKwrjHGoko/JekqJpvq6mnb/SLj2rbSOP5C1pdexmKvwkUTQqytj9GUMGlMmFQGnAIBUcNZWZCwJd05QvdqWuhWTQrx1yNRXq6PIYCaIm+P9AsVuNq0eeJgF+3GDFSfxg7hZd65Z8GGR0Fa2ImOHu6qmWO9yRyVU4STU6cofVc7WCU1FEyZCeNDCODJG58i8sDV7Et18s3KKjoSHbz9qbcTSUXoNroJaAEkElWoJG0n50sgzogOXcPhr4f/2kPgANqT7Xz8hY/z1I1P9TvpPpiI/HLHL9GE1qPgZVeyK6/r+fSBp2mMHS++mpuDd820a4YdFDiZlJBTuQa5N2MuckPgi8DDQBxn3u5m4P+NypHzJKpOatlAKL6VzdZFHO42mFns5WDEYH1jnLllfsYlj7L88evYUn01DZXLGH/u5TTbOEvBKvxcOCHI2voYDTGTprhFZUChLWETtSRBFZLp9oQFHoWu7ggb9jzPsq3f5FJRwN/O/XdeailGqRnHlIlTegw3oClcNbmQpw530Zo00SIQ6tiDLxEBRUOW1vT4GmXKnguOR1dtQBUSSzo9Hvy9LDlw2jZmqOlsgK425gqFpwunsiFygGPRYygoCARJM4lFzxaLJ/uFHosI3cly9fSraYg2sLpmNbNKZ7H22Fp+tO1HAPx656/50nlf6vOegUSkOlTdZ24tYSUGLIF0x/w7+P6W79OR7HDEUgsRNaN4VS+723Zj2uawggInmhJyqtcg9+a0Fzld13+U+TscDj8NzGO0RG6ARNVS4DzTZnNzgj2dKaYXemhJWGw91sKMl7/MWZE6ltqPs/3CF6mXhVT7VbrSjavnlvm4cHyItQ1R6tNCVxVwoqtRE4KaI0Ddhk1Byx4inS1smHATyw49yMW77+Ef4c/wkt7Bxf4Qk8vLe47Lr7J6Yog/1UVp6o6jHtrIpMBk8BVgV89B5BQkzlhyMr1IX6b/1oRwFuGrPRvYxNI5cn7V6dBV37Kba199kBAmeyqm8Xq8HgWFhdULaY23cqjrkGNp9LK7Dds4qS/0WEToTpaVE1aycsJxQSjyFWVFzrCc+bR84v3fb/vvPuKd68ouGbeEyYWT2duxFyCv63nTzJu4aeZN2cftiXYu//3lgGMJDjUoMBI3GVva3LPpHva07SFhJZxz2v0IV9ZcOeI3qtNa5MLhcAXwIHCDrusGcDHw+zEZTEdtn4ofwZoLWXHFN9imjWN/l8EktZvQ+v9if8kiIloR81a+nQVFkt3RLg5Hg5QHvXhVwbbWJDOKPVwwLsgrjXGORo30wn6VzpRN1ISA6pQn7/aUUuAJEpnyNjYseh/LYpu5YO0PefnsT/HSwUYu8RUyscDbY6gTC7ysLGxi7YGjNBbOJO4txTt9pdP2ONEBT34O9v4Fc+a/IkvOBSGQnmKEVgi2gWJ3YRaOJ+Dx9yiWGTPsbL+HJ/XH2Nm5j4crClAowFYsTDNFyBPi2xd9m33t+7JWiJlurZgp172tedtJLch+s+bg2bbNkoeXYNpmNjEb4GMLHLEfSLx/eNkP+d6W77GnbQ8RI5J976/f+DVCEVl31SM8JzwfVuQtGlJQ4K+H/9ojah41oqw5uoYtTVt47ubnBrzJZMQ5oAX6RN7bE+3c9ORNPHDVA8yvmj/gZzkcxlzkwuHwYuAenDk3IxwO3wI8BRzUdf3xcDj8IrAuHA4ngS2MlhXXmzXfg34qfmiH17Do01vRPSEObdtMmVQ4q/Hv7B93Ges3vsjC2js4J9FEYOnn2T37YxR5BVUBp+ZcLChZOS7A+kY40m3SlLCo9Kl0GZKoZRNUBUrJJCLFkyjyqHSrgg0Vq1lmfJOV+g95ZfFX+Ud9nEvGw4Rcoeuo45zfXEbXuOvYVvMe2iesRDE8lFkS7fDa7HmYWhAhLWypOj+5tDXnibViGEkCE8/K7jJTLFNTBP5YE3ce2sm9Qcl+rxdDqBR7C7OuVGWgkg89/yHqo/XZeZ8CTwG3zrqVr63/2kkvyB6LCN1I0TvnTSAca5eBxfuJ/U/0aDOYEUkLK9sVXBMav7jqFyc1HzaUoEAmz1IT2vG5QmkSNaI8f+h53j3r3XmPnZln9CgeFJQ+3cwsafHhv3yY59/+/IhZ5GMucrqubwIuGeD1/wH+Z9QGlI9AKfgK4drv9Kn4IbY9yqzz7qAguYs3QlNJeIqYXft79oy/inXT3s+CQ7+lxm7CX+Fne2sCw7KYUqBR2+0sBVtRFeQ1Eac2YjhC51cRhkLUtAloAk1Al2FRhEp3tIFXx9/IsoMPsjzYyau25B/1cS6eABNC3h4R4WW1v6V70UfZbQksw+RIBKZ6AtnzMD0XoLQ3YJqmU2NJ1RCKhiINJIJA626YcT4AKVti2BLVShD43a2s7GhkZdQPtz4KZdOdzyhdGklKyeGuwz2+wN1GN1965UtY9shUfx3tCN1IoCgKP179Y5piTWxu3MwT+59AIvnimi/y8yt/PqB4TyqclLfNYFALcvGki/nUok8NWE0EhjYfNlhQ4IqaK5BSZsV4S9MWPv+ykxyxu233gMe/c+GdfPu1b3Og80DOMkOFWaWz0Nv1bJ7fSFrkYy5ybxpW3e38n6Gfih+TrvgswYTFlpY4Ov8fs0p8HIoYbFz2cWaVeJkaUFlW5aSY1MfMbGR2W1uCBRV+VAEHIwbNcYsKv4IQCjHTxq+mhS4eo/jQK0Q9xWyY/WmWnr0cM2qzqTnBy/VxLp6gMC4nIiyAi566mqbF91Jfci7tSRPv+AuRX6hDCIG5txOlrAa7tQ6kszAf1YsK2EIlmDySPV2nWKZEbd5FoHP/gKWRMj+ktUfX8uDOBzkWPQY4d/7Lay4fOPrWz7RAvkKgoxmhGynOn+jcNG6aeRMv1L5AxHDEJkM+8X5n+J0UeYuAnm0GAb6w7As95toGY6A8OSEEP1j1A+7bfB+Hug5hYNCWaONdT7+LH6z6AdOKpzG1aCofnvfhPuMECJflzZIAnGDF+2Pv50uvfAmP4sG0TWxps7NtZ3YbgRhRi/z0/kaczuRpuFLmVzlvXBC/6qx7nRhyKgXv7kixvS1JoVdhRbo00sGIwfQiL1LCttYE4RIvM4o8qIqgOWHjV51lVTFTYhhJPEc30OGvxvQWE5t1M6+1GNQUelhQ4SdhSV6qj9IYmnY8ImzE8CTbWHjw1/hTEVKKn9a4hd7hRIpNKRGpbpA2tqIgFAVhGwgrhRQKBSXjsucVNyWmBB8WHjOa3X/2fyvVozRSTXENt82+jedveZ5l45YBsHz8cr598bcHtjYy0wKxtp6FQO+/GOLHWw9mhPSBqx7g7hV3n7J2diPFXX+/i3c//W6eO/gcGxo28N2N383OrfX+PPK1ROyvzWB/rQTz8ciuR7hn4z3sbttNXaQub/ewlngLu9t3Y0kr24KwNlLbo/2jlDLbpjCDQHDJpEsGHUfGLf/ZFT/rMTeZwacN/ZyGgmvJnQiDNFwJ5pRs0jtSTC7QmFHkYX+XQdSwWVThZ0V1kM0tcfalI7PNCZMdbSlmFDkW2IEug9aETalPoVCkiLQ3ghrAb3XTOXU1JWqAuGXzWpNTZsmyJdvbkrx81h1cdNG/UhU4fmkDkRTjm+LUxy0StuTVxjbu3fwTigJXkDJjFHir8QkVL6DG25FCIBSVgikLs/tIWDaWlISmrUB8uZN8nHRhxAGmBTKFQPuL7vlUHwkrcUorzJ4MLx95mYSV4HMvfa7Pa19c/kXgeNQy4AkQNZzUDoHItv/76LyPnpT1OljeXebaLapaxPtmv48SXwk/2f4TJ/or6BHYyfRoUIXqVJiWFhLJY3se49OLPj3gOHLd8qdueIrrn7y+x+umbY6oRe6K3HAZYsOVTMkmvTPFoS6Dcr/K3DIfOzuSvNIYZ2GFP1vF5EDEYGKBRkCT7O9yGuLMLIZ9XQZt8RQlDRsosiWdBVOwC8KEFEl7PE6p3wtovNacYGmlH0vCG+1JXq6PceH4YFboJBDwqExUBMdiBi0JA5Q5qMIHRAGwhMCwLfzSwNaCUDiOQq8nez4JU2JJKPAM3A7xpAsjDmFa4Cfbf8Kmxk3ZzutJM0lUOucx2JzUWPGReR/h/u33Z9MlBIJxwXF8/cKvM7t8NtAzuupTfU5qT/q/LY1bTjq/bLDk3XzXLqgFMWyjR2BHCMFTNz6VHcuXX/kyNjZ/PvznvCKXe3OKGJGsSGbIBCISZmJEc+ZckRsOQ2y4kkEIwawSHwXpkk1xy1n+tbs9yYamOLNLfSwo96OrKQ5FDCr9ClMLNA53m5T4FM4q9rL/0CE6/eMojh2jpLuWdhRkqp3CeAPtZWdTWn0WYPNac9qik5LdHSnW1se4YHyQyhyLrtCrMEXxcKRLYZp3OopSTKnZTmdBERHLBgSGtLCq56AIjZDWc7UD9Gxq0x8jXhixn2kBvV0H+pZ1B5hUOGn4xxgFPjzvw3x43ocH3OZo91EWVi3k5pk3M7lwMq8cfYX7X78fAI/q3HBOZt3pYMm7udcuZaWcyK+iETWdG0gmsJNrrZf4S7JzhUCPNoO9yYh4xgWWyOx6ZiAbqJLIEbXIXZEbKsNsuJJLbsmm7a0Jzi3zc6Tb4I22JF0pK1vFZFd7imIvhEs87Ok08KuCs5IHOGAW0hGYQFGinrLIPloLz0ICxVaM9pRFmVcliWRjc4LFaYtuT2eKtQ2O0GU0QEqYrMYo3f1LdlRdTqfPT7w0jBbvQniCzka+AIYUqNLAL1OAU4Y9Zji9NgcTuREtjJhnWuBzSz7XQ0gLPYVEjAia0AhqwZE59hjw8tGX2dm6kx0tO1CEgmUfXymiCrVHK8GX6l5iY8NGAP5x5B+seGTFSa/6yL12UkoWPLgAoI9r/Msdv6Qh1sBDOx9yximtrEBdMPGCvMnCt59zO6umrOKF2ry1OLLnOpI9H1yRGypDbLiSj1KfE5DY3JxgW2uCWSVeCr0KB7sMug2bBRV+/KrCttYEqW7JnFIfekeS1FlXUqMIarsNuowZFHgUyoWkJTEJNChWoS1lUe5TEcCm5gSLKvzYEvZ3ORZdTaFjBUhAfeMPLNF/RItvAs2hySRMC+kJZW2h0s46UvEowUQDYv+z2fOKGBKt11rWU8oA0wIrJ67kvAnn9Ynu+T3+U5ZCMhpLye5ceCff2/w9drXt6vF8gaeAo91H+Vvd37KupGmbWWHxKiO/6mMg19inOpVsTGn2WM0S1IJ8aO6HBqwK/aPVP2J22Wz8mp97N99Lyk71OXZAC4xozwdX5IbKEBuuDERuQGJXe4opBR7mlXnZ0Z5iXUOchZV+llUF2NySQO9Ick6pj31dKWKGzcSgxrG4SSTlJAlX+AUtCRuJTYlXoSVhUeF3RGBTS0boJAcjjsUY9CiEhIKiefCaUcJHn2HL+EtRhAdVaEjpWA1eI0LCV4k/1Zk9L1tK4qaNKkSPtaynjCFOC4xmCkm+1Qhbm7Yyo2QGBzoOnLT4ZcR7wYMLUJXjxTC9qpc75t/B/a/fn7VeC7QCqkPVfGT+R5hfMb/Pqo855XNOWpTzucZfXP7FAackBkpqPtR5iId3PUy30d2vwE0vms4PVv9gRHs+uCI3VIbYcGUwegckon6VRZV+drQlebXRWde6oirAxuY4O9qSzC71cSxm0powqfCpCCnpMiQSQUVApTluAZJSr6AlYTpzcDZsbkmwoNyHLSV7OlNEDJvxQQ2x+H2w6sOonSnKa9tJWmBIgS2dFIWG6un4tcn4J8+Aqe8B0jlyknTnrlNsyQ1xWmC0F3nn++EmrSTbmreN2DrafOe1t2Mvj173aN739V71cTLreweLkA82JTHYipS2ZFu/7wt5Qvz0yp+OeFMbV+TGgD4BiXab+eU+9nSk2NaaZFqRh+VVAba0JtjRlmRmsYeg6qEualDs01CERUfKxpaSSr9Kc8JCSkGZT6E5blIV0BDA1tYk88v8tCVtjnQbNMRMJhU4rmvSsglqXnyqpCPpWIQIQWeyC6/Ws+x5wpSYUhJQBb5TLXLDmBYYzSbFeX+4UrJq8iref+77R2wd7VDPa6BVH+2J9hNe39s7ymrZVjZA8LPXf8Zvdv9mUKsw39hW16wG4D/X/WeP7RUUHrjqgVPStcsVuTFkUkGmqXWcTc0J5pf7aYqbHOwyiKScebrd7Sn2dhpMDmnMKvGid6QIaApxM05tdwdxo4OY0UlZYDr1UYNpRaU0xQNUBzWEDdvaktQUaLTGTeK2ZE9nkh1Nf6Ih4aHIvxhQsJBIKRBCEPJOxpaOa50hbtlYtiTkV/s0vR5xhjAtMFZNivP9cL96wVezEcaTWUd7IueVz2U/mfW9vSPkftWPaZpoQkNV1KxVuO7YOvyqn5gZ69cdzje2m8++mUXVi4ikIvz7mn/nYNdBbGxerHuRqUUzR3xKxBW5MSazQmJTc5zNLQnOKfUxp0xlZ3uSDel8Or8mONRlUBVQmV/uuLZ1RietsUMU+sYT8Ag64gcpDtSwq62BueVTaIjB+KDjuh7qtijzq7SnLLpSNnqboCl2gOpQIZoSxKsW4ddKkEg8ogDDlvhyUv8S6dUOuf0eThlDmBYYy0bT/f1whRRc//j1J72OdrjnNZjLfqLre3u7o4e7DvP8wed7WIWf/tunsaRFwkrkdYd7j6090c7H//pxvrjii4Q8IZpiTTTEnKZGivCwvwv+UR/jvOoARd6+uacniitypwFBTeG86iBbWxPsbEsypdDD0ko/W1uTrG+KM7/cT6DUSTFJWpKFFX5iZhFJayIF3lJM24dpJznYuZti/1TqYzGmFhVTHzMZH9SwpaQjZVPqVbElTC9ZRNA7lbgZQUlXlgVQhYKqCFI27OtIMbc8gCpEOkeup3U3ENH1r1L7wQ+CZVHxyU9S+clPjOjnNVZNigcSlZEIgpzIefVbl22XU5etpqhmRMbVn1WYSeL9p3P/iXee/c5+3eH+3O4tzVt419PvclZKSGelRKn/LGpKVlEVms/kAs+gaUrDxRW50wRNESyu8KN3OInBUcNmaaWf19uSbG5OMLPYy0JfO9v07bzRspuL9j9A1ZSbODr+EhIV59BJAL9WTFeyjpDnHNoSjvVWHzMJqk6j6I6UzYIKHwXeUmxCKDhVeqSUxC2nDaFHAcOG5oTJuoY4548LEDcckQtog7uqdizG0c/eBZYTrbXa2wd5x/AZy0bT/f1w32h9Y0SCIMM5r9512XJXDrQn27n92dt5+qan+4yrd3n6oUZd81mF/3TuP1HkLerhDq89upY97Xv6uN0CcTyvTtp41QKml6ymxD8d0+7k5hkzejZqGiFckTuNEEIwq9RHgccJSGxpTbCg3M/BiMHezhTV+/7O4k3/y7Zpt7F5xvuZf+hRfu6NUWB3omqleNVC/FoJVQEvnSkbmYAyn9NDQiARQlDXbTKvzE9dxCBmSUzLyX+TOELrVwVJyyagqexuT1LoFURMp6F0QB38Dtv4rW9jtfYfPXszM9h82WgGQeC4a6sJrYfA+VU/pjT7BBhyx3UseuyEoq79WYXvefo9dCQ7egjfvs59PHPwmX7d7rtX3M0DOx8kYhRQXbAMn+qnzNvNx+a9nSlFp8YKd0XuNCQ3ILGhKc6Ccj9FHgU9MIXY1JuZf9Y5vFG4gE3TV7NP/wqhtg6mlV2DIjS8aoikCSU+hY6kTRvgV6EjKSnwOJmbemeSYp+CmbBIWZBKr8TxKk65JZ/qRGrbkjYbmxIEVJHOkRvYkott3kzHo06ag1JUhN3VdQo/pdHt9ZBvvsyjeuhKdrG7bfeoBkHyubbvm/M+PvCnD2DYBs8ceIaZpTN7jCtTnv7ORXcOK+qaz1VvS7ThUTw9hO+OeT1z+nLd7iLfBEqCl9CVsqkIqMwp9Y24e9obV+ROU3IDEpvSAYklC85n6+TFbAXmlPk4XFDOJ45eS/nRp6j3beSV0GIUMZEOo4tSUUyJV6UjZWEoAlVAtympkGBLiKQkhR6FbsPKJq1raVc1qClMK/JBJEVz3HJKswe0AS05O5Hg6GfuAqD8Yx+j67nnTrnIjWavh3yisrdjL7/b8zse3/f4qAZBei/BuuGJG3jl2Cs8d+g5wClEufbYWjY0bOgzrm9f9O3sHN9woq79WatLq5fymcWfYd2xdfxw6w9pS7TxL3//F0KeEEvHLc3ecExbsrczxRvtcbyqYEGFn+rAKETrcUXutKa/gMSKdP7cttYkM5P78bZsprH6KhZOmcdLDU/SZs2jwFOA7SkmYdsUeRXakzZI8GvQmDCp9quAJGaCKsBKlz1PmDa2FBR4FOaU+YiZNilT0pG0aElYGLZNvhKETd/9LmZjI56JE6n8+B10PffcgOc2ElbYaPZ6yDdf9srRV8YkCNKb3q5kSAsxoWCCU/iy17gqA5XDigYP1K91ftV85lbOZV/HvuwyM4HoccN54Oo/ciTqI2FJJhdonF3iw6OM0vJAXJE77ekvILGkMsCD255nW9NR5pOkILGPdcqldBoFHOr4BWeXfhVVGY8pIWU5SbwRQ5K0JBUehYa4hSIkILAl2QBEZnuPIlCEc7dtTVpoisCWkj/XRblxWiHeXhZdct8+2h96GAD/7Nm0/vznWB0dAMRff5323z5K6bvf1eM9I2GFnQ69HsYyCJKhP1cyZsZYPXV1v4GPTHn6oUZdB+rXek7ZOdRF6khYCTRFQ0rJO85+BzNLZ/KtDd+luuBi/mvjk5h2F0VaI3ct/jAeZXTbRgop5eBbnaaEw+Ea4OALL7zApEmnZ4kdYFglvQfiSLfBtt21JJ96gml/+j1/vH4OdStWEjOa6UgcZFzhMgyrna+teC+1sRC7O1IYlsSwbCwbLAEFmsCrCCKGjV8TdKZsLNtACI1I8hghbzWm3cI7ZxRyTlkNu9oT/PVIFL/qzNeNC2pcN6UARTn+g4i88AJHP3MXMtV3LSIAisI5O9/o8VQm92p5fRDvZ/8bLIvfX6jx1MV+vnTel4ZsheWL+j339ud6lAA6k+ltFQshsKXN0uql/OKqX/T7nkOdh3qIomEbfGz+x/oVxcf3Pt6nX2u36TTKVoWKpmg93OEnbniSPx7cyJr6OgQKDd0baOreSspOUOQtOiVtI48cOcKqVasApum6fij3NdeSGw3ydPri8Bq4c5tTDXcITFAMGr/2OQ4svZS9N7yXCcee4KX2LiaXrGZCURmVviRLJtzGoWiIxRV+gprCq41dRIw4thRILGKGRBVOZYuYoSJxloepQhBLNRDyVpG0LO7Z/DxfXfEOFBHCrzolloKaQkPM5O/HYlw2qSA7Lt/ZZ1Nw8cVI67j1FF23HhmP01HmY8s0ybsemNfHJf3QzNvZ9/HLsdLpJkVxTsgKezP2eochONoAACAASURBVBgpHtn1CC8deSlbRFRV1Oznt615G+2J9n4FZTjR4P76ta56bBWmbTquadodXj5+OXvbj/G5NQ+jqSV0p+ppjKzl51f+kIZow5i1jXRFbqicjDU2hJLeQ6Hx6/9JUN/JzGNHOXjF/8/ee4fHVZhp37/Tps+oVxfJjXEHG4ONDTGmhZYESBaSEPZN20AqhHdJJQlZkhCSsOl9N8lmg8GUACGUUIwDGAzuNrYsbFmS1bs0/fT3jzMzluRRtWzzfXBfly5rNKPRmeOZ5zzlvu/nGorW3sIfzj2dAsViRyqEakvMDCi0Jgy2dCZZXuxlX1ctrUYhbjkfbFDNAdxyHv1qhJC7AGwRWXIoCPOLljOg2+hmFL8ynScamji9eB6KKDAzoBDXLQrcEnURnUBnkrNLHa8514wZTP/5z4Yc66F3X4re2MirszT+cqkHlyAeU5Km7v7JELqJaZsT2lkAJ1+of7IxVu8yM/WVBKeJ71g3HP13eECZrCRurIzZsGwODaj8cPt6LFulsf8ZOuJvUOgppNJfSYm35JStjXwnyI0Xx5ONjWbp3bUPHvvsmMEzsWMH/X/9O2DjTfUx72/30uW7lP3uRmZ2b2FVSQF7Vt1FQ1SnzCcR0Sy2dSVZXDyLXrUOg2JswY1flokaKqLgQrcMnLeA8zZQRAkBi77kIRTJT8ry8GbEKUFnBhQiukVzTMOwBHb3pAgpAvMLcpuFykVF6I2NLJi9kv9+9xeOGQxse/YvTN/wADaQ8IA/lf69SWRhJ5ujdjIxVu8y19R3edlyXmp+CQSOCSjHI4kbKWPuShrs71NJGjY3zL+EPKWfhkg5391ykN5UL+c/cH62j3cq1ka+E+TGi0w2tu5r0PgKHP6nIyBPDcAfLocPrR9/f22wpfdAC9RtHDV4DqFnLIwROeLFimnMf+0+BkpW01CyhniolNOL3ByO6DREdfJcIrIg0JkqYHnZWbTGnZ2uluVGwsC0dey06y+AbVvUDTThc5UgS36i6mEq/RfRkXQ+BHdv/R57Op5nev5l5HtmUB5YwAvmDAKKlHU2GYzq9c4gYsGgn2UGA7JuUfZ9Z6uW8rEP4nt2EzS3IwnShLKwUyXUP5kYzwR59bTVQzKtjPNuroAyWUlczuGGbvDf+zcTLlyDXxFYWealwB0AprOsbDGP1z3O1o6taKZ2SlsJb4kgFw6HFwOPAT+ura39xbD7LgK+B5jAk7W1tXeegkM8mo39/VaoedwJShl07XdW5o2nvzbc0rviDGjeOmopO4Secf+TRN7zXog1Ipz1KeZ/6nYCMZ19fY7O9cxiL0GXyL5eFUWEfJdIfVRjb/cBImozilRAoTeMwLF0EI9ciGWbGGaCgKuCIrdAe9ImZRokrQoMW6Cx/2m8xddxZGAXKUPlH01hrqrOp8ib+62Uq8y54Z8SSk8CZdo05nzxq9RtfBUdKPYWY9rd487CJpOVnEwC8WSR6xh3du3kS2d9iSXFS0Ys+8bTmzyeaXAmY15cvJjnmvYRN4rpSppcmediS8vDvN7SOuSC80bPG4iIXDnnSlaUrThlrYRTHuTC4bAf+DkwkvH7z4B3Ay3Ay+Fw+OHa2tr9Izx2dEzFlDOT0a36jFPCYjvWQOPpr+Wy9A5VwkWDvLWGbacaDz1j+gevyyokXu1IsKzYcRje2Z1iQDPxyyKC4MMtF7Or7TesmvF13FJgyKEJgoBH9mIBlqWSMFW2dx0k4JqDW5JZUryKy2ddxMoSH2/213P/wf30xA8Q8U3j6SaZq2YF8Su5nSMGf/hKOzUufN0pXZoqFfSf3w39Tl8udLiTS/wiM5eMLwubTFZyMgnEk8VIx/hyy8vZxwzP0k5kb3JwxiwIfrZ29GEwk4TeSLFbYE6ei6+99OiIF5ybl99Mqa/0lLUSTnmQA1TgcuDLw+8Ih8Ozgd7a2tqm9O0ngAuByQW5qZhyXvgNWHY9/O58p1wtnQ/Jfoi2ZVfm5cR4N30N206lNTYiSBK2aRJ99lmizz6bfWhqzx7a33iDgg9eN0Qhsa3LUUisLncCXX1Ep9JfikUJc/O+yu7OfbjlEBWhFRzN5gRAQASq8ldzoOcp+lI9uOU5BBSF4tAsbBsaExJLiudz99afMrvgCrxSP0kjj6eOxHhPVRD3MInO8A/f03/+DyzBRATKtjZgb23I/vU5LRazWy1Kvnc0Cxst85pMVnIyCcSTxTHH2HeQz250nFwkQcK0zZxZ2onqTT5W9xg1PbW80FxPRXAFhqXS0L+RlH6ED697DDj2guMW3UwPTefWFbeimuqIi6xPBk55kKutrTUAIxwO57q7HOgadLsdmDPpPzYVU87h2di62+HhTwxZmXcMxrvpK8d2KnewdUR6hjJtGv7zzs3+3Nkh4WN3WiERT1s2RTSTPtWFXxLIc1VTHoTXmn9NaWAJkuhx5A6CQwgWsIgbcWbmrSXkdqgdggB5isjjhzehmSo9qQZ6kg0EXduoDF6JR5I5EjV4viXOu2cEkIax2Qd/+F6a/xDb5+ykQAlhYxHXEixqMPHoECvyoqw+my+9+KVsUFMkBc3UkAV5wpnXeErTXATiU13S5iI5u0QXNjZXzLqCpxueHpKlHW9vcqzX+8klt/FE4wESukVnfC8Dyd2cVX4Gn1/+o2zGPPyCc93fr2N/z35u3XTrSff8G45THuTGwHDth8CQ/UATxDgWF4+K4dnYB/4AG64/ZmXeMRiPpfcI26lGo2cEzj+f8m/cPuQ+ZZhC4sXmrfRrXRR4V5IyZdTEAKppMDN/LZJgY1oGouAw1cHGtiywbQRRwCvPw7ZtfJKAatp0JRrwu0rIc09nQfEHaI8+R7lXpEeFSr9MS9zgpbYEayt9CIKQ88P3MgfZ+AEXH1v8IW5efvOQ1zPz0mt49YOL2P7KN7OlWmaPp1t286d3/4nOZOe4M6/hZZ9maMeUfRlkyr/D/Ye5+YWbaYg0ZO9L6ImTXtKORNm47ezbaI23DsnSjtdEdKTyeF/PQe5euwFTmM818xawuMBDoWd8ZpanyvMvF97qQa4FJ5vLYBrQNmXPnmNx8YgYno1d+n3YcIMzXfUNXZk3BP1HoHX76JbeE1xanaFnSAW5P2wZyya/IvJsYxcJw6I1tgvDTiAILoJKJbIoI4lesC1nU7ttIggSCAIhKZ/iVBeG3U7SXYTXreORQ7x3zjUYtkZPKsG+LhCEi9nW+hDLKj5MVLco80ocimj4FIGzSrzj/vANfj0jlZOmZXKw/yDnTjt3XHyrw/2H2VC7AZfoQrM0vLKXQl8hbfHcbx9REBER2d21m4ZIA6IgZi2MdEsHQDXUk1rSNkYaQSB77kRB5KWml47J0o43oAw/52/2HeS7r/+eGXnvYk93GxfMmMfskAtpAmL6t4LcLYO3dJCrra1tCIfDobR8qxm4Erh+Sp58hMXFI2JwNmYDfx20Db16zchB6eWfQPdBpw8oyWCZYOrgCTl9QD3p9PcmsLQ6Q88YCzMCCpfNnM7zrXEkoZCeZC2R5B7KimeyuPg8WhICAhIIEJBEUoYJto0ketHcRYi2DZZJa1cPpT6FUl8eCcOi0FNES7QZ3TZoSijcUORmW2cKSRHJM23e6FHxy+K4P3zDX08uPWrKTHHnq3eSNJPA2Hyr3V272dezD0VUcEtuTMvMBjhZkLlh4Q0Ue4v5z+3/iWmb2fLvslmX5QyyuqVj2uZJI7Jmeplf2PgF6iP1APSr/Xzt5a9hYw+5UBxvQBlcHsd0ix4tzoy8C4ioTfzX7s/wxz3aW24CPRGc8iAXDofPBO4BqgE9HA5/APgbUF9bW/sI8GngvvTDN9TW1r553H90lMXFI2LwgpXhUHwjB6Wx+oBtu45rafVYuKjqLIp8ji9ddd4MqoOX4ZYERASa44ls7S+JAjIGih7F8OShKj7ARNQ1YiL8s7WVRaVBBMFDR3yArmQrouCiwFvN3h6VJUVudnSlKPFKGLbNtq4UaytWjLpGbyQML9UWNVp8/X4L2Yry0HkyD5w7Nmk4k52sKF/B7ZtvpyfZk93zqUgKn1z6SUzL5Gc7f4ZlWtjYvNH9BjedfhOfOv1T2WPoTnZnMzlZlE8qkbU6r5qvnP0Vfrrzp9T01GBjIwoiF1ddPKGybzw9RsOy+MQzd+B1zSNpxDgy8E+6E/twS250y37LTaAnglMe5Gpra7cD549y/4vAOVP2BydYGmaRWbDy1xth7wMgys4XwP5H4Y2HcgelsfqAU7C0eiy4JIECj0SqP8KhfQ0Emw6zIgji8sswTQskCS2pgstNeUkAw7ZpTxhologlWsTtFJql8HJbN439/0CR/LikAiQsZufNok81ebNfY2GBmzd6Vab7ZRqiBi+3J/BIAuX+Y8nCYyFDOwkYMjc/mkJKG3teEFrB36Q3xqRHZLIT27ZpibYMMRRIGkkueegS4no8+zMRMVv+2bbNex9975C+HKSzypNAZB3cy5wRmsGnlnyKr778VTRT46OLP5rtZY4XY9FmLIK80auiyLPpjO+jaeBFUmaUoCvIny/9M63x1rfcBHoiOOVB7qRivFPO0XC8QWl4H3Dh+6ZkafWYME28/3wOM5BHoqSSWsUATXMyWNvGtm3HbsmyWFrsRRJUGqIqtiATkgoYsAewRBfV+e+mJfI80wMFLCpeiVd2zlmfaiIAs4IK9VGdWSGFuojOi20JLp4RoMA9voY1DKWdRL/7I/ITr2fvm5M/h6Ul4rjoEZlszKf4iOmxIfcNDnAAXtk7pE94JHIEOb3kJ1OiRtTISSGyDu5lZgTwdjrnvrfmXg70HjimdBwtWxuxz2mLPF5fS6l/MT5Z4Aunr0PgTA71r0wrGhI8d+Q5rgtfN2W601MxuX57BbkJLC4eEeNYmTciJtoHnCLYgFpXhycew2sYeOoO0Lt0BaYkOXfaNqLlWB4mTZuuhMFsKUJHKk5KCWIpQYrkIvLcEqppMyd/DsuKvSQNi4juDC5EQaBXdSgnJV6JrqTB7KDMoYjOi61xLpjuJzgCWTgXqvOqSezYQePTr2MDcTcEVGiKNk2IHjFcBZDhmQ2GgMDV867Oln/1A/UsKFpAfX89CTORfZyFdVKIrIN7mZqpZcX2iqhgWmbO0nGsbG1wn9MtuSn2LWJ66Dzihp/ZIYU5eS4koQpwqD4ZSdZvd/+WX+5yPhdToTs9FWTst1eQOwml4YgY3AeU3RDrgjuLJ+0tNxGoDQ3obW14BAHcHgoP7UNOxmk/bSmIDivHpaXA58MlCHTFYkTrNuEKhnEbMVKhmaiWk63lu0RUC3Z0Oy4nCNCvWpi2jSwK9KkmBW6JgCKSMGxmBmQaYwab2xKcX+kfc3FwplS7fNpFCLc4ZdnDqwXW1NgEVNjcspnUInFc9Ij7DtzHVXOvYkX5CjoTnfxy1y/RLR0BgU8s+QQ3L7+ZT/zjE7ze/jpN0aMUot/t+R37evY53Lz0dDaDGcEZk/+PGCcGDxJy7TzNVTqORXK+cvaVvO/R9xHTTYr8K5mRdwG62cNVs2fywpGHefzQsTw7cAL7aDKxiWZmy8uWc/3869nWsY3mWHM2o45qUR45+AgfX/LxKT+fb68gdzxZ2PFgcB9QdjlKC8s8Lm+58cJKpehbfx8sXIH79DNItrQgJ+OIuoYgZEiHAqYk4ZYEqlxJIjXP0uWdierKZ3p+ELfH2RiWNGz6VItCt0DSFNjRnWRFiSPy71ctdNPGLYn0aSZ5iogkOBqKSq9MW8Lg1Y4k51b4RrW+zpRqws/+yGWdJp158PC5ImtqnOxLkRQurR5f4z3zXI8ffhxRELMDBAGBtdPX5mThr69Zz+bWzYDjbZfh6WUwPXByzVnH63481uMs20a3K5hduBLLNqjvexbTaiGo3DQi1ccn+/jh2h/Sk+wZUSY20cysKlRFuDDMvQfuPcpfTGerv9nzG66ed/WUZ3NvryB3KjC8Dzj/PVD7BFzwDSeD66qdlLfceNH54x9jRiLgdpOoqcEWRJREHKOgCEGSsQ0dBAFddoFpMffZmxATPWxa+O/0uBcSN2EGMQS/h4YExHWbXtWmwC2QMmFb2ldOQKBXNUiZFt6047BfEUkazr/FlsiRmO48vsw7Iufq5mU3s/6pu7lkqzNEb650cduBWVRYrUCUy1Onkd92JgVjZFTra9YzzT+NlJGiOdaMNjhzF+CTz3wyJ2/vsbrH6Ff7ERCOKWsVQcGn+Cb/nzFJjEQMHl46jvS4M8svYHNHko8vvQOfHCep7efujoPols5fav4yKtUnk7mOJBObjExuWeky8l356JZO3Mj0RgVC7tk8Vn+IG+avmBAnbyy8E+RONIb3AQ/83fn5s9882geciOpiAsiK+9dcjG2a2KKzYFVJxDD8AWzDABsE20JKJdGxOBQ6g3O6/8DMntfpCC1AH+ihqbGJMo/A7DmX0RDVieo2vSmLQrdI0oLXOpOsKvMCMj0pg4Rh45dF4rqFSxKI6RbFXgXd1jkU0XBLAsuKPTk3Na2etpols75Ai+LYqS+v0aCmNnv/YL3uaMhkJ4qoOPZOooxuOctXMuVXQA4gKRKapXHRgxfhU3xUh6qZkz+H5mgzqqlmDSgBvIr3pHuhZTBe9+PBj7Nsiar8i9jdYxFywfnTSijxVgBzear+sWzQuun0m4bw7DItg7gepynaNEQmVttby+r1qyckkxuOqlAVES2CJEq4RA/53jDlgeX4lCI0UyJp2ASUd4Lc/3cwVh9wIqqLCULbvw0BCztdl9qSjGAYyIk4mqg4H10BsGzkgX7QvEQ9pWyZ/TE00UtesoXK3h30BufQ7JtJmSxSHXRxJK4zoFr0aBYFLgHVgi0dSc4p8yIIMp1Jg7huEXCJ6KaNLUC/ajI94KIxqlHbr+GRRBYUuHIGutHs1IfrdYcjvuU1jnziE9xhmrxwSSl/ODs+YnbyyMFH+OYgCZlu6uzr2UfIFeKZ9z/DugfWIYlHVQ+nylZ9vA4jmcdF1Chv9HbwXFMdguBi05G/UOEzKPNcRsoYW9s6Uvnqkly0J9qPKU13d+6mwFPAgDowru1fgiDw4Hse5Y4tv8Xrmg0oxLV26vue4kfnXkVAmdpz/E6Qmygmatc0Wh+w97CjdjhB01Z33yY8hSnAWUJjSRJKKolk6JiBQFYJLAAiOh7TZOWRDexe/AXqS89DdnlYvnotnUmT/b0qzXGDUo9jsd6MRp9q06fZ5CkiqmXxakeS1eU+QKYjYRDVnJWIqmmhWtCTNKgKKByO6OzvU3FLjk3PcExUr5uBlUjQ8n9vhfTOiGtKLuYzH8n9WBi91NrcuvktZas+2OTgwTcfZG/3Xn6z+zf8atevhmRUpb4qulSVQt8sCj1tvNj0ByRSxPQY62v+d1za1pHK1/ef9n52d+7Oeb6aok3IojxmphnXLRqiGi3xYnyu+UTUBloirxHRmlFEJSulm0q8E+QmiilaSjMp1cUEIZeWoccVEECeVg5GCqWrHQBhWqkjM9Od7FIWDVwek+LIAVa+9hXqzrufeP4s+lWThQVuQorI9q4kbQmDQo/ENL8LAZ0+1WJAtwgqApppsbk9wbnlPvDJtCd0IppFvlvC1k1ihoWkwoyARGPMYG9vCrck5HQWPua1jKHXBei4+wdDdkaMhbGa9W8FW/VcJgcHeg8AzmAkk1FtbnmFz0Xv5oMLbyOg+MFq4MUjv0AzVS6uupgj0SPj1raOJhNbWXG02sicL4DPL/s8qypWjXhB6FNN6iMar7QdIKHHOaNkGh8JL+Rwv8XPdzp2TYZlnJCLyDtBbqKYCrumyaouJojOXR6MhIhUUIhrRjVGewdy0uF9GS4nsAiZdM4bwlVWDlf9BvmJLxFMthH3FXCw341uwfx8FwHFz5aOBG0Jg4AiUu5TENDpVS2imo1fdgLdy+0Jziv3gU+hNa7Tr5oUeiQszaRHtZBFiUqvTEvCYFdPCpckUDqCs3AGY+l1Ezt20L/BkZCJoRBWJAIcS3HwyJ4s3yxhJPDKXmxsJEHKEoY9koea3hoW9C445bbquUpH3dJRRIUfrf0RCwoXsLengT/tfxmvUsyjB/9Aa+RlVDOazdZuO+u2KXP+GGm4cd386wi5QsdcEDoSBvVRjX7VQhZhT+eTbG37G/ejZ1+PaZvZ70/EReTtG+Qm6xJ8vHZNkVanRE10O7cTvfDrNTD9bLj0LqdsnQIMdhSWKyvR2tqwTQslGcdTbGD60xmRoiAAyvQqFEWCOe8n9dIvsQSJytQRqkMzaEwvtT692MP5lX5e70xS1xdDH2ikZOAggmc6PYFZxC0ZryyjmfBie4J3VfgQUGiO6fSmTIo8EqZl0JYwqArIlHolOlMm27uSnFPmI38CqojBGLID46abiDz1VDbIHWO3ZGokDUfk7xKdLEi3HWpJptTSLZ37DtzHQ28+NGkvtKli9o82+Sz3T+fNfpWk5UIWt3Gw5zGiWiOWbU2ptdHw15IhJ8uCjGEbaKbGob5DlPhKHNvz7v2U+0+nuuD97OxO4ZUFFhS4mOZX8AnrqO/bRGeiEx0dCQkBIUvVqeuvo36gfkrVD2/fIDdVZedEBwfPfftogAPABi0GhzfCb8+Ffz84JVy5wY7CqZoatMIZiKKInIiT6pZJDCQhP+0HLIBtO0unObKFpAmm5CEQLGBBgZuAIrK/T2VLR4Izi72sqfAROvAwe+wK+lzl5CdbAej1VZG0LTwuD5pp8WJrgvMrfRCQaYoZ9KRMSrwyZtKkIWYwL6Sgmzb9qsm2dKDzT6LpPGQHxmc+TeSpp7L3De+7bW7dzJ1b7kQWZG458xaqQlXcvPFmREHkytlX8mT9k2iWRrG3mKgWnbQX2lQx+3OVjrZt05YwuPXFv2BYAkciW2iOvEJA8fLP6/455Uu1h7+WbDYpKZiGScpM8bF/fAyPHKTYu5j5JTfglUMsLVnEkkI35T45O2BaPW01hd5C2hPtOdUnzbFmPvLkR6ZU/fD2DHL9R6DpNRw7XAMkF5SGoXP/xMrOyci0XKMoKyxryrhygyeU7rmzkbwCVkpEScSQK8uxikqAtClwmhSs6DHYcC2p4FIMV4Bg+WmAY9nkH7JDwsvpdiOhQ4+x5ey76JMXETAi0H+EXt9MUoaBW5ZJWRYvtCa4YJrzmhujOl1JqPBKHInbHIrozM93YSVMelImWzuTrCr34pGOBrqxMqJcOzD0Pqcvt23T/WzsuY9Xzg5mF8FcOPNCvv/69wFnwfaS4iXZCeoZpWfQHGvm9fbXWVS0iF9cOGSn0oRwomzWE4bF/l6VrpRBd6KVI5GNJPUuLFtHFoMnZPo70muxbZsyXxl9apLK4AqK/YvxSD6K3CIfDJ/LwsKSnNPzTHZ6qP8QlmkRUAKcWXYm62au4ztbvjPlRgBvzyD38k+g441BHm86tO1O32mPr+wcYXCQoTBgmhR/7nOUfO6zQ39vpGnrfy6YUq5cdkLZ30T3kz+jKW8uumajJOJ4L3w35OeBkdnsAJga7gMPQSpConImdsEs/K6jb49Cj8SqMh87upNs7UqycOVXmH2hQiips6k1Qa/qwkszhYlGeoNzUS0Ztwgp0+L55hgXTvNDUKAhqtGRhKqATF1E50C/RjhfoTUO3arJ9q4UZ5d6s6qIkTKiV1tfxSN5WLg/xi2YyJDdgZF2c2d2i8msVti0/FhHYBGR7275Lt985ZuAE/BkUZ6y3tt4lQrjhWXbNER1Dg04SpWFBW6+t/o6YvrlJ3z6m3kt62vWs/HIRs6bdh4CAm6pmDzvCqoKZhMuDHNp1XKqQ8qYGuWRBht9qT6+99r3pnwB9dszyOUaHjx6o2NmKSpjl50jDA6GUxjMvr7xHc+J4spl1BZFF2BJCqLLhZyMYQXdmGm1ko1DBqb3MO5kB/gKiZ33NSTVhXeYztSvpHdIdKfY16sS0y3m57u4vCrIptp6miQ/iqWRL+n040azHDv2lGXzXEuMi6YHABf1EY32BMwJKdQO6Bwc0KkOKrQnTDoTBju7U6wo8SAKQs4s4gsbv4BpO2VSW7mLnXNVBNNGlmRWla9EfX0bJFPYFSV4Vq/ix+uu4HMbPwccXQRjYaFaava1xfQY33zlm5iWOWV7CMarVBgL/arJG+nzXeqVWFjgTmuAq4Hc09+pdvuwbZt7tt2DZmk8WvcicwqvIuiejmmp9Cb38KF5VzA9OA4XnxzPOxXnaDS8PYPc8OGBKEGGeOoOjl52jmLX1HHP7yZEYQBOrDNJRm1RImMJMr5gHwsua8PQ/xdL/wBIXsBGTPVh2zYeKwUf+CNRU0KyVDy2AgyldyiiwJklHg70a85AwrA4XWjjkr9fwiszr6d25vuwXCHyBIjoFoZlo4gCqmXzfHOMi6cHIOSiLqLRloB5IYUD/RrNcYNyj0S3atGe0NnTI3B6kXvEjMi0TUREmkM6P/8XL5qp4ZJcfOuc97LgM03ojY0UXXAJ5d+4ncJUH0p6T25mEYxu6ZxTcQ6HBw7TGnd6irIgc/E4dbHjxXiVCrmgWzYH+zWOxPSsSqTMJ4+4uEZEpLbPUSRE9SjgTM9lUT5utw/Ttsn3hCkPnolHLkQzIxwZ2MTiwhLuPOdWpgcnf76O5xyNB2/PIDcYfY3OtDPjkXvhN0fnq41g15Roh/5n84GhFIYx//aJ5Mql1Ra2bWIiIVg67mQXMX81VvpNZNsWkqliCxJ0x6m54kbaPvstrGl5eOv+Ce+5+5inFQSBBekdEjXt3WzZtYEzTYvzmu+j4LxP81oEVMsmIIvEDQvdslFESJrwj+YYl6UDXab0mpuncHBARxEE8hSBAd2mOe58sOfnO2Th4Vd7cHhibsmNZTnOvqqpElEjWU7dhvanePC+p0dcBCOJEv/4wD+yTiQrK1byg7U/mLLTPx6lQq72hm3bdCRNavpUVNOmKqgwL8+FnC7hR1UkxNOKSc4plAAAIABJREFUBNGFaZuYtolH8nD7qtu5ffPtE+53aaZNU0ynMaZz07J7kIQUKf0QP952O7qlEp5703E5s5zIfbEZvH2DXP8ReOabjqtvJsApPpj1rtF/L4dMyzKg5eUy4FgKw8h/fwJcucnSXTL9v64kVmcSwb0A1yXNJCM6dn3kqNrBMrBtm/j2JB5JQfcFUDQNr3t0/eBMox3/Pz7KzrJLeXXhF1m2+n0sKa0gFNV4oSVGVLfxSCIp08K0wSVByoQnm2NcNiOAjRPowGZW0FFCSKKMT4aUaVMf0fBIAtVB5ZirvVf2EnKFSOgJomY0e0yKpFC9/l5s2+a6P5+OrR1d7hbRIlz16FX0pnqRBIkyX9kJ3wc6GqE4V3sjaVjs71PpSpoEXSLLij3HUGtGopVcc9o17Onck3M/RVSLTqgnmDAsGqI6zTEdy4Zir8TpRSUUuiUEYRbPN94/ZeToE026fvsGuRe+B/sfGfozPQm/Wwuf3Qah8ty/l2Nw0HnXXRjJPzsUhuuvJPLg/zh3vP47uOu3xwakiToUHyfdxbIdibkiCgiCQNKwju51FCSkwirM7h6k/gS6P4SpuPD7gkiXf3/kALvmZnjgBopinZyTaGP7FQ/xSl2U/E99kKIDuznv/36Z19e+jy7VwiU6Kw2xwCMJpEybJ47EuDDZQt6jT9G+fA2Rrjb8iRjN56ylenopimBj2DYH+h351/CrvWZqdCQ6UEQlG/gATCuzK1bg88s+z892DpWHdSWPrvF99NCjPHLokROyD3Q8u1AHKzRsQaC1eDp72hyy9vx8F1VBZUQTg5EUCasqVmW/d0tuDMtAR+c7r30HGLvf1a+aNER12hMGggAVPpldHU+wr7OBwOwrONDTww+3/pC6gToAXml9hU8/9+lJ9fqOd1/sePH2DXJNW4feFhSwdVCjsOHD8G8bx/U0x1AYvvtFzGgcEEn2uemrSVGgDgtIE3UoPk6VhQ1YNg4PDmfiaQ/aXiuoKey+XiRdxSirwFJceDWHMDtigD34TJp+o+DX+lj58BU8H7mepjUXk8orYFF7M9fMyeOpxihH4gaS6DBkDNPZ45owbP6h57G8rhYbm/YV5+Fvb6Ggt5PmwkJm+GVky8ayYW+vypnF06nOk4dc7T2SB0mQBtn1QEeiI/v9JdWX0DjQyO7u3TRGGrNuIhlolkbIFWJN5Zop3wc61jrGwQqNVPUcGpetwaqYTZXHGSwMH/qMF7ka+UCWuJur32XbNt0pk8MRjT7VQhJhVkihKqDgkUW+++oD2ddi2zaGPTQTnGyv73j3xY4XJ99S4a2ASCtEWob+LM16B3Jv5BoBGdItOBSGrqcPYmnpYNIt07416BhlZgISDC159cTRL1PL7VB84Tfgq81OACyeB0veD74iMNVxUU7SDucoknNcMc06Sh0B9JY2BMOg6OqrMcsrsBQFXzIdODIB9qpfwY0vwVW/cV6PbTnPnH4NvVtMqv/+V4r376Rr8QoOVC9GEgTeWx1kcUF6Z6cAtgCqYeOJ9WMpCjtu/haBpgYqtr1MvHw6tiCQ7xJpjjv8lrq+OnZ17mZjSxs1vc1DysuUmUKztOxQAeBA7wHW16znnm33kDSS3HjGjdyy/BZkcej1fLAQ/Ksrvzrljr83L7uZhUULs2adASXApdWX8sB7HqBYDNHyxVsxFRcD37iLg++7AcPrJ9y4n+XFnkkHuAwaI40kjET2vIRcIb501pfwSJ5svwucDL85pvNye4LtXSmShk0438W6Sj/hfHfWxXnwa8n0+FaVr+JPl/6Jn6z7CYqoZHt9kz1HguBlVv5arjrtDu678oEpveC8PTO5577tBAjJdXTjlmU6PxMkeNdtYz9Huoxzb3+WQKmGLShO4CmZT3z7nqG2QL4NQzlwx+tQPEHKiWWnxdzpz07MGOR2a5kIqSSSLFF6/Ydoq3kTS3Hh60sHudFkbOd8Ft79PScruf96BGxm7tuKp6+b7v/zabZ0JFle4uGC6UEKXAk2dyRJWTaCbaLaAu6eDtSiMnZ95uss/cOPKN/+Ml2XvJcSAXySQHvSpCnWQl+qm4N9b/J0vUpN1waSRhJFVPjWqm8RdAd5re017q91LiBJI3lMhqCaR6ki4HDivnXOt/jay187YRuoRisp2++6ix5PkNaP/Su+Neso/tVPKH3qrxRd+y85y9OJ0EFyNfLjepwBbYClJUt5vf119nXXcjjiTMdV0yboElla5KLcJyNOsDzuS/VNmv93dsU53JN3Fi1xx+gBHD5mqc89oecZC2/PTC5XJpX5IHhC46NxpMs4l9zL9HUpZryrnxnLDjBj7kbkkiIAAuefT8XHL50UBy6+5TVqFi2mZv4Cun4xqHwdTDkpqBrXsWZ6cu50Jhc3nLLNJr2ExraQ3G6i960nIbkQTBOxtoa++3PsTB0WYIfrRqWCAooP7GZB/V5SpsWr7Ql6UybLSn1cPjOATwRTN7BFET2Qh7urA1sU2fPJ23D19TCjvZFe1THbdIkC1XlLKfSWIyAgCC4WlV5LgacM3dK587U7+cpLX+Hhgw9nD88luY7JooCs1jLzmMXFi8f8cB7uP8xHn/4oq9evZun/LGXV+lV8+rlPUz9QP+Y5HwkDB+vY0R6j/qKrkAIeDv/hMwSf3YCka2zbdD+/vON9xzx/hhCdMlNDCNEfefIj9KWO5WJW51Wzt3svhwcOMzd/LqZtsunIJmr7GqjOv4CZBe/nzX6NgCKyosTD6jIvlX4lZ4DLBdu2ee8j7+Xc+87lXRvehWqquCX3uLhtTmlssLsnxcaWOG/0OhPkeXku1lb6OLvUi+84M9nheHtmcoMzqb5G+P0FzpTTXwI3/nN8NI5R+mSy20QHJA+T4sCNSCqeJOUkk7i50z257ODBshFssLCxu7vo++UvSF75YURdgz07aX/i4aEOvDk4fZ13/yCnbjQ/3s+MMh/b0wqJRQVuZue5Wbfxv3l+9tkkSivAMNBDedmMbt//+Tyn1+1kXp6LgwMaAUUgzx1kaclK3JJTxpo27Giv4tmG/ySi9qGbOl7Fi2U7AXtx8eJjMo+GgQaiWpSDfQe549U76E31ctlfLwNGb8RPVn86Ei2kMaazr1sjNn0WlVtfpHjvNuYN2iExu8Vk1oY3+Uh4qHZzvBKxwY38B998kEP9hwDwK2WoVBMuvgRZlDmn4jSWFnkJucZ+7+TKIs8oOYOGSMO4/OMyiOkWLXGd1riBatrIIkzzy1T6lez/a2vCoC2eYkXpyPb4k8EpD3LhcPjHwCqc1tHNtbW1WwfdtxMYGPTw62tra4c1044Dx2N5NEoZV/25VXD2jU7wnAQHLqcv2nEcq245mZs7rQlVTdsxWBJFsE2k/HyUVIK8NatJlZQiGjo+v4/8a//l6JPkCLDq4fpjdKNmfz8Ayb17cT/8IOdcey27ulO80avS19SK9Ptfs8b7v7x2210MVM1DyGR0PZ2ohcXsnncmi/ftZ87CBRyK6PgksBDQLZs+zaLYI9OjqhT51hBRn0CRnH6QZVsjNqwzFIXFxYv51qvfAsjamo/24ZyM/nT4BWrDa7/nL4V/5bSiy5kRWsh5/irO7DiIu9hP4ryz6Yp3UrivBVIqVnkRGyv7iWpRLnnoElRTnZDF+OAyHSDfPYvy4JmE3DORBSj2mHxs0Trm5o+/35Ur0G9u3Yxf8XPP2nvoTHSOyG3TTJu2hBPYBjQLQYBij8Q0v0KJV0ISBOK6xYF+jSMxjd6UScq0mZ/vIs89daHplAa5cDi8FphXW1t7TjgcXgj8ERhS09XW1p5/Qv74VCyaHozBZVzhnEkHpJy+aFr8uI41E+RckoBh2dnbICBKMu6ZVQRcEjPf83M2rX8GSdcpWLGMiq99xXnYCAFW2/p81ukkoxvNILOLYcEHr2NFiYeafo1DLSnkS65m5rOPseY7t7D1ljvpXrQc0+3BFgRcfb3o+QW8EaxgsWExO6hwOKrhEiFlqDRG6olpA7THD5HvmcWMvAuo7/sHee7cLiG5KAoeyYNu6ayuXM3W9q2jEk8noz8dfIEyZYXU3HNYWLoCw0rxctN/s9Fo4cnvPJnN0sIMdT3+4+wnsG0D3dInbDHu8Od+Tp8qUew/g3x3JSXePK6YdQbLSipH3ZI2EkZcTG2Z9KZ6uXre1UO4bVZ6UtsS1+lKmlg2BF0i8/NdVPhl3JKIbdt0pUwaI5rTj9Msh2IEeGVnQVLehI90ZJzqTO5C4FGA2tra/eFwuCAcDodqa2szTNrgCfvLU7FoOoPBZVzRHIdXNomANKIvWtNrIE/+WDPlqkdyMiLTdpxHyPyLQy/RLBvLH0DqaMcdSp/6US4G7llV49rFIAgCCwvcuMsC7FqxmoZ586l67F5W/+mHbP3AjbStPB/L7UED3IkoerCA/X0a8/JcVAUUGqI6MS3BgDqALCqU+hfRFX+DIt8CJMHkvy6+PWfpOBpF4Y7Vd/DVl746JvG0rq+O6564bsjwQhZk5ubPPeaxgy9QveH5tC9bi1UVoi9RQ9PAS6iWM8x5puEZrpvvtAFs2+ZNOpgF/Kn5rxizJNySm5+s+wlz8uaM22Jct2wqgiu4adl/oZo2AUVkVkihYoRhwngxPNA/efhJh4soQmeiMzvtDroqmFVwEZtaE2imjUsSmBFQmOaXs2WxalocjmjURzQ6EwZR3cKwQRGdheThfDen5blxSVNXqsKpD3LlwPZBtzvSP8sEuaJwOHwvjhL5BeAbtbW1Q8lOk8VULZoeXsaVLnQ2cmUC0vprHeF/xjfLHRpRrTCiL5qkHNexGplyVXZIuZZtIwIZJy8bcImQNGyUhYsoXn46pTMDzp2jXAxcS69l+s+HBtiRdjEc7j/MnW/+B62uOJVzLkT+96vxivV85q4/sLe/l4ZLrsF2e9E8HrxeN6oJBwc0qoMK0/wK9aaf6aE5FLjciKIHrXA+LzZtoMh3Ok837uFD4bXHvO7hm+hdkovVlav5+JKPs7dr77iIp7u7dh8znTVsgxufvZEnrnkiG1wzFyjdF6D/y3fQ2hvF3dzIu1qOcMMHbmVn5zq+/NKXAajprRnyfF/9sIUketPnVcev+Dmj5AwCrsCYFuN/3r+BC6o+QlNcx7Sc6eTiQoVij5RzUjsZ5OLeWZbF7/f8DwW+MHMLryXkLmdOwRoK3CLT/M7fFwUB27bTBGONhohGr2qhpt+PPllkbkBmUYGbUq88Zcc7HKc6yA1/Ven8IouvAfcCSeAx4BrgYaYCY9E4xiOlylXGbf7ZyAFJlEdUK+TyRTPTvmjJNxvp0/wULJTGJ+caBt12enCKIKKZFtagM5z5D3BLIinTxrAYug5ugheDkXYxDO7txPVe5hS+F8ueze6qw5y+/ld4sai5+BpsRSFlgFsG3YSGqM4Mv8z0gJe2hIIgQIFLolcVKfItpDdxgH5tGW0JnQrfUDOBwQOI6/5+Hft79vN6++ts69g2buLpmeVn8pH5H2FOwRyiapSf7/o5uqWTMBJD+nIdP/4x7YUVdLz/ckKrzmXaj75L4fNP8urKAP/++HNDiLmnFZx29PyPoN287OHLsLFHtBh/uuEl2pMyrclKGmM65T6Z6qBC3jiGCZNBRlYnoZDnnU2JbxF5nmrckptij4v3zjmHpUXF2SzMTHPw6iIaLTGdAd0hoCuiQJlX5rR8F3PzXEO8A08UTnWQa8HJ3DKoBNozN2pra3+d+T4cDv8dWMpUBbmxMJaUSk/mLuPO/SK8+3tHy9Ln74TXfzumWmGwk+8x/a0uaO8KUXBaz6Tciw3LRhCc0jRuOHQScVC5mqGXpAwL07aH+oFNkNM30i6G4b2dA32H+M3eTWz80GUY//45rg+vpnDrAV5RfZiKRdIQ8LgVDAuaEwaVXplCt8T+3jbq+qN0J2sp9M4Fr0G4YBp7e1RcokCRJ/dbejQb8dGIp1WhKr688svZ25uaN7Gjc0c2SAJ0v1nH6wM2idUXUayIzH/mIRKvv4hlmZQ0DnDWayLPLXM+zAIC62auG3rOcmg3+7X+IZI1zdQ42HsIt1LK7u4ekM6gyKtS6E7xrgrfcROIx8JfrvgbzTGdxlicHR27SRkDnFFcyMcXvWeIm7OjedU42KfSo1ok00OugCIyM6CwoMB1QrO2XDjVQe4Z4NvAb8Ph8DKgtba2NgoQDoeLgT8D76utrdWBtcBDJ+3IhlNE6jbC01+B1ADcXe1kZWlZ06h9snHuhMi5a/TlF7E1E6W0AP/qVXDVuRNfmgMYNogIiAJENdMJcun7RADbKVdjukMtmcrFvhnkauLX9d7K9NC7iOrL2NYaofC2T7N4/pns/8hnMb0+UqZzXJYNbUmDCq9Ef6qJkGcGhZ65dCf2Ux44g6gOBW6BHd0pVpbmpkaMRmgdCZnBxeWzLufWTbfSm+olYTjaUkVUOH/GBdT2q7zZo6OH8pm56UkK6vYTG/Qc81phbpvFxmUylkPW4YEDD3DzmTePqt28eu7VXDPvGg71H+KOV76N3zWLe3Y9T0ApQzPjtEW3Edfq+P6aB05YgKvpqecXux8gYQYQBR+SACGXjmHUsLP9OULyWvzK+7KysIMDTr8toltYtmOxVeGTCee7mBNyZRUUJxunNMjV1ta+Eg6Ht4fD4VcAC/hsOBz+KDBQW1v7SDgcfgF4NRwOq8BOTlYWB0eDU6ZsfePhtJQpjbQQHFN3vgZjtD7ZCGqFUXeNXnzF0f7WRJbmpGFaNqLgBLRM2WCn45ggOFmdIolEDRNJICcZc0zH43EgV2+nK76FddO/wf4XdiCcexmznnkEUdfZ/6nbMCQZzQI5nXW2JU2WFi9BtSyiehAbm47YHmrd+SwvKUUWYHtXilVl3in54A8eXGRIxRmU+sNs67IwbZ0ZxSHyu+qQqsqgynGjyQxgxMoyzLOWcsfqdXzrlW9hY/PskWe5+cybRx2MfPqMT1PoKSHgDnN+VZyYoZMyeqnrexrDaGVlxdl8fvkdx2Shx2uWaVg27QmDlrjOjs4YKauUuNZEX/JV+pIHUS0nyEuCxNyC+RwaUDnQq9KRMkkaFoIgEFREZgQUFuS7KJ3g4MO07SnlyMGpz+Sora39yrAf7R503w+BH57cIxqGTNk6vH2oeJ2sDQEu+vYJ2QlxTH9rEg7Ctu302QRAFASimsng95CQXkqoiAIxzUYWhGMCxKQdj3Mgl0FiyZv7mP6L79Nw4fs49C8fp+rJB1n5xktsX/luVNNGt50ALQkwoMuU+2QUyUYzKzFslahaR32kgHCeC8222dqVZFWp77indINLXBERv+Jndv58UlYF+Z55vNG9l/+zYA2FngD8+J4hv7tz3Ro8yST2OWcS+sothHrfREg34i3LOub5MyV0hb+CBUVnsLcnRkS36E0N0JVsoiXyOlfPO59bLl0/6jFPhsBs2zY9qklL3KAjYWDZ4JMFzigu4LHaR2mJHx6iD/YrZczKv4B833U80xTHsp1paqVf5rR8N7ODLnwTWEhkZ2knBp1Jg/Mr/VM6YT3lQe4tD29BuvluO324UKXTh7NMkD2gRo5rJ8RoGNLfmqSDsGmT7cEJglOSCpAd7zjbugRkEeKG40DhGfYGm+jS5pGQq8meiPXT9MWbCfbGWZkvsispUHf5tSxIJbhwmo8XWhOkTBvdMjFNC0mUaItruMUoSSNKvrsatxSlxCtRO6CxuNBNVLfY0Z3krBIv0iS4YRkMLnFt26YpbvBmv8pzjRvZ1fE4HmEHhZ7c/oMtSow5wIOd/+CxRzc5luvpSuDc6ece8/wAHVu2seNP9zEwu4QtlZvYVXCYtug2ImorfsXPh8fhzDERAvNIKoRpfoU8l4gg+PnmOV/mpzt/yuH+BvI8p1GdfyFFvoUUeiuIGxLBdK/ttPyRta8jIZ7++00xR7uqmhaSKKCaFi5p6gYo7wS5sbD8X2H7n47Kvj75nDNwiLQ6mdx4sqrjXSZ9HA7CGZKlIAiIOI1hBKfyFgAEG8kxCCFlOH0U96AgN9LS5slieJN9/l9exd2roUybxsx/+zjJaz7AoXlnULf2IhYKImsrvLzUnqInGQdBxjBMLEwGLJveZB3FvjA+pRzNsMh3i+zrU1lS6KZPtdjVk2J5see4mtzra9bTGu8nXHQFquVG1TvZ3PQLolonl1V/bMTf+/VN0zkSPeLcsI5OpX2yj08u+WT2tm3b9Komh3vi1G09gFB9GsX7d9L+5i7efFeMPFcel1ZfOm4rqLEIzONRIQzG6SVnE/Ks5LyqT+FzlSIKLkwrSXXQx6JCH7OCrgmtkcyUw40xjbZ4psR1WiTT/TIVfuX/dzy5tzZyBaf+IxDvce63zbFF8serrDjOAKmadnpDvIAoCKgOj5O0URLglLGW7fRDgvJRftVoS5snilxN9p6aXVy2zTmKDG1G6Opkdt1DdIUC1OblMW3xaawp87GxJUlU1xBwIyIgiCLTQyuYFXDRq4kciRvMCTmrE/f1qiwqcNOVNNnX53w/WqAbqY/17yu+xKaWegzK2df3NK2Rl+lK7BsX9eTrK78+6jTXsp0Pe31UJ6pZ6Fteo3zz8xTV7EJWUyy+/npu+dfbR3z+0TC89ykgUhlcRFnwfF5ojWPnUCEM//22hMEbPSkaYzoVocvBtkka3bRFdxBV9/KlZT8mzz0+VZBt2/SpztS1IaoT050pvl8WmeaXmR5QKPfJBBXxhExd3wlyIyFXcIq0wL3/ctSxxDeOrOp4lBVTID1T0/0fMT1g0K20bjXLSBSQBMepxLDBP6gfN9rS5okiV5P9jC4NSwTJZAhtRgBKN/wRce9Oen76e3ySwJqKAnZ1O55nqmljAhLQlYJ5eQqHIjp1EZ1wvoJpC9QMaITzXDTHDNySwLy8ke17cvWx9nQf4btbn2J15TVs73iaHe0PkzKi46aejDTNNSw7+2FPGTZ+RWBudyPqt29FNE0nW1ZTkzrHg4N1VI/iU0qpyjufQt98AkoBEQ2qgkNVCIOhmRY1fSo1fSq9qoVh27hFgbmhPIo9MWJqhB/W/wXd0rnvwL1j7mBIpukkhwYcM07NsvHJIuU+ieqgQrlPOWGBbTDeCXIjYXhwWn8dGMmj93vy4d+eGzurOh5lxRRIz1TTxk5TSEzbwrBAEgSMNEFYxMnkDMv5AAbTpnM5ycmDxPd9928Y6lAyBnI12auXLcHTq+EVjja1B8vC5i4N4yrxsLM7hapaLCxwc6BfQxQsUoaNAagWHIzozM9XqOnTOdDvfN+n2tRFHMVE3YCOW3J6R7kwuI9V5CnntY4unjmyE80cIF9p5tcXfBH44rhfay6kDIvGmNN/MiwocIssLHBThM7hD34W0TSPO1ve3bWbPV0HKAssYU7hAjxKIaZl0Jc6TGPfcywpiHDpzGMDU2dCZ09PioaoTjLd3gi6JKoCMnPz3FT4CjgSqec/tjyIbumYtslvdv+G3V27j5namrZNU1SndkClI2GimjZuSaDYIzE7z1GvBOQTH9gG450gNxJGC06CCNf+eXxZ1bm3OJnfRJfQjHUM45SeqaazrUYAEmkenCCQtT8XBGdqqaWtxkPp/orW2JgVto4kvp9IkBuRp/aBoTdzycLOSVs2RXWL6qDCkZiOKNgkDEf7mDJtDvTrLCxQ2NencaBfZ26eTESD5rhOmVdmf6+KWxQo8x37lq8KVfFvS/+Nlrjh7JSQXbTHfkd7dCtXzRo+/J8YorpJQ0SnNWFg22SVCZnlNO13/fC4s2XTtulMGPjdZ3PD4p9RmlAI/u1JCmqfZlPFIbav0rGw2NczLfs7hmVxoE+jpi9FV+po1ubw2tzMDCo8UbeBHW1Oi2Fzy2a2dxxVYNq2nZ3aPn7V4+h2kJp+jaaYk6FKIhS5JebmuagKughMoG831XgnyOVC/xEnMAXKnMBk22Q7WKLsfK2/FqeDb46eVR3PEprjdRDGCXIiTrzq2rUPwypAiEWwi0pAlBHSJOGkYTkcufSbUZkxg8FcE2XaNIze3mPE91ONXLIwvyJyTpmPXd0pupMGpR6JrpSJJIjEdAvdhqRps79fZ2G+i/39GnUDBjMCMikTelIm+W6J3T0pzpK8FAzbfhXXLd7oTXFf7ZP0Juup6f47KaN30kuOM8OE+qhOd9JEFGCGX6E6qAyhVhxPtmzbNv2aM51sTxgYFnikfPLYw9xv/oBQiyMcCvolrDRRaF7BPHqSBnt6UxyO6FlfQYfX5mJenptKv5xz9aHzPnEcRLyyl6+v+jo/2PorqvLWce/BXjyyQ0Uq8EgsLnBWKAZOkMRsongnyOXC4MCEgNOmT8My0vy4QRgtqzrOJTTHC9W0EQUBwbJo/Mt98OHPIljmUQqJ4JSrScNGEgW86SZ0373rQT9KgA2cfz6xl1/OKb6fSowkC1NEwbFs6tNojGqEXE6Ak0SRiGahW5AyTPY2RSjf/Dwd6y6jKQYlXpGYLiCnp8bbu5KsLPMSVCQs2ylp6yM6ogB7Ox6hL3VUPD/RJce2bdOeNKiP6EQ0x914bp6LmYHcE8NRpXwjZMtJw6IlbtAa10mkM6Yyr8w0vyN7O/L17xBqOUr3sbAQBTdz8i+iJPAhNhyOYKRdQkq8MvPzXcwMush3HVtC5moxnFO5jktm30hn0sW7qqYBAjYWSwrd+KUO7tn+7UkTkU8U3glyuTA4ML35tKN2yIWzb4TLx1hGPE5Z14mCllY76I2NJLxBbEFAMExIk4DBKVeT/4+98w6T6y7v/eeUOVN3Zrb31aqOui1jY8tYuGJj4wrG2AEMwWBCaLnAJXATyL0JoYWEhBJaTDUY01wwLnLB3SqWrC6NpJW2993p7bTf/ePMjHZXu9Luas3Nfczrx49GM5pzzs7OvPOWb7GcSs6rSjPCRmYi3/+pQpIkVle58bskDsYK6JbDw61yK8QKFrpuY2oeBi56E01mEHvGAAAgAElEQVRD3Yy0LWc0bxPSZJIFp5qzBLw8nGdlWONIUidrCBr9zod92ZX/PC+TY9N2zLC7UgY5U+BTnets9qunRO9PS+WbRqpqIgthohfC0pBKvfdE5ZXduZPztowjgIwbCDdjvuFqrlp6IY2BJYwVFPwuiZagxoqQRtNp4BqlEUPWsDmW0ulI6Lw83MFTvUPkzBhD6V2MZrbz6+u+R1Dzcd+RXfNSUn61489JbrqYmJjW3wI3/xD+bdUk85Yy3etrK+Y2a5sHa2FSzNFoumAJRDaDNTRIrrrWqdxsC4oGfTLOd3HOtFElCZdR4NiHP3LiABM+pDNVWX/qWFTEZu0cyTkIfUkiNNzHuDuA6fFhaRoD9Yto8kiMFAQJ3cavyMiyRcCl0J3W6UzptFdonFvrocbrfAzmanKct2y6UwbdxWVC2C0TCbup985O5uhUVD7/JZfg+tRn2D2WL7MQClaCzcd/xr7hp4gVBidVSovcjWUHsJFPfJIuKUyyYRF2wIOm6Fj2CBc3LaG9wk2l+/SD/4xh05s2OJrUGclZGLZT/fUmttOXeoHR7D4MW6fKU1WuduejpPyniD8nudnEdIlpPrO2ebIWJsUczmsLQUE3MDq7UG0be8O5Ew7kvMllGRRZxrBtAi6JkX/52mTalj2hVf9vFDUelTc0+Nk2nOX4UIJCIkk43U9yyXJ0rx9TlunPCSo1iYwpyFo2eh7iBRtVlgioMh7FmSHN1eQ4bdgcT+oMFJNPvU9hcYV2ktP9fMJoW0x/3SKOnX0xykh+Egvhqa7Hebbn59NWSt/pfzsdF13D8HmbMJauwBgfxz0+in9kP0/5niASDnPOhlPPdzOGzUDG4FjKYCRnOvqCikStV2F5SKO9QuPihitJ6RunrXbno6T8p4jXTpKbYwVUjpkS01xnbWfAWpgUczivbglye/dCwUDWNET7YhhLF70dbLAtlIEoIrkfq/Z83J4g8XvumXQ6UXAwgfOBjcwmzoT473fJXFipkP6vX9Oz9lzsJUup7D1OrLENvSKMKWBcF/gURx05b4MiC0Kagt8lM5Sz2DOW54GOBzkwtv+UJselQf/xpM5wcZnQ7FdpnyPif7qYxEL43L8gSdBQZCHUeZUyVep1DVPkqsY7+NrOX7DScynPBJdien0IWRAc7mHR4w9Rt/0Fhuhm3TqZttvfP+2504bNYNakO2UwkjfJGA61KuiSWVvlYnFQm4SpO121O50Iw3wXOAsVr50kN5/K61SJaS6ztjOldU2MOZw3dew4hSNHkBpbUf1+0iNjSJILUcKP2AJFWCBsTD2La9tDJ7AlDtgEoRcAaV6wkdPFQhD/Y//x7yz95d24b0jTc/uHyKXTVB7ZT3LtOeS8ASwBadNpyz2Kw+WN6xaq7Mhud6UMblv1d9xz8AvTshNqvbUMZk06Uzrxgo1LhqUhF20B10lMgTn97EIwkrPozxoM5yyEcDTXZmIhwAmoy2je5HDcoDOzknMaP4LbkpFHE9Tu2U7TtqepPrQHVzaNhOMfsLTfpvaLJ9gZKcNiKGvRn3HOnS3q43tViVWVbhYHtUnJFaZnrMxU7U4nwlBqac9UJWU+8dpJcnOtvOaamGaatS20Yc5szwuk+weRJBnJFpjDwxTcfvD5nZWDACEk5IY12FV1WMks4uAIAK6AgZlTEJZU1mp2BWz8b77pzK51Spwp8b8EwZCEzerMMMEn72NH82oyTW0EOo9grliLobgoAYAsGzxFCfjRvEW1W8ESNh5lEV/c9DOWhrTysU1b0JcxeHYgW14mrKrUaPG75k36F0KQNJzt6EDGwLAdc6G2ohfCqdD/JTDxoViel4ePI0teLNsgYwwxOraLt+xIIfUd5njhKP3NOdZ0gseAdLWX8MWX4VWrOZIoMJAxGC/YZAwbG0eMoTWgsqhCo8mnzqj5dipZqIn0tpmUjkst7XxtHs8kXjtJbi6V11wT06lmbQtpmDM1Tjfja2tHHUijVIRRAn6EP4Bs2+VqVFJkZM2D4WvHGjmEe3gcV1Bh6fUpOp5YhDE4juz1YmfzBJoKNLyldf7XOiUWgvg/FYIRevxx1q55Hbvu/DSx1mVow4N4WttImwIbMATYpsCrSOgCxgsWYbeMaTs4OXdx/tSVcpgJxjyWCdNF3rTpz5r0Z0zSho0sOcYtE70QpgtbCIZzFh1Jxx8hoTtilKZlEi/soTf5HP2pHQRcKss/9wcCWoCzi889ctWbSaVyiPd8gMHrbuJwf5aM6UjfqzJUexRaAg4DYTr4yNSYi7LyqVra/xfLiddOkpsap9pyziUxnW7WdirWwu57IRubs2fDrM4LWNW1BN7wBoyC5TQLOQPicWxZBllGUhRkJAojvYi0gZZO4Fm9krHqy7FyPwFAFNsMRTMWDPKyUMT/iRCM3KEoo54gw2efT7jjEInFEeRAgBqPgsuwiRWcykUqAoe9qoRuQ1K38btkxgsWT/VlCGoyHkWmzquwOKidBByebZRYCH0Zk9F8sR234zzU8UP2DT9FQh+fsVXLGDY9aZ3DcZ2RvEXetKEoRtle4WJjXR0uyU1HQuWLW18iUchw98G7+eD6D5Isztii17+bdK6AtHgN2oR2uNar0uJ3oCdzqUhno6w8m5b2/8Vy4rWZ5E5XAc2WTlVuaUdBcTvP+fqayUuNiayFhz4BL9/lzAUV1dGkm4dnw2xbab2oEQYCSwgs00LSdSRhF1WOFWQzQ2HoGLLhR0unSG3pJLVlf/kYIpsFBLUb7PlBXqaJhSL+lyAYozt3sfunvyXV3I5vdJClj/wGORJh32e/StywCbhkVAlG8jYWztgxa4iye5lpW4ii2bSEyutbvDT5p+e5niomshAGsma5PV4SdCqmzZ2P83zvr6dt1R648ffodgWdKZ3ulONFWpIQb/CpRCrdE2SNnPfg+jqnUto/1sXRhMWzA1myhu0YF73lerxCoMkSAZdMk1+lxe9aEMXkmeZqA5kBOuIdp21pp1tOAPzDi//AV7Z/ZcFndK+9JDebLeds6FQTW1pJcWhgeQsUbealxkKwH+bQShdsG7ciIQDDsrFzeVTbdj7lkgwIpO4tmFoAV8Gg8uzVKLLzliiDUgM2/vrc6SWlZhlTqUxHvvU10iO9eIFtf/w5L8Z/S+LqC2b1JreF4MCLr7D/ue1IdU0sGe8l+Nj9kM/jSddzdVuAB3cfIzacwJVJYYZVqF2OkGRsScY2nZGjieNr4VJkcpbNrtE8QU2ZNd8ya9r0n4KFUGoFp2vVPvvcF6jzr+fXRwfwao6jvISEzyXT7FNZXanR4HehSBLf3PlNHuhw5l2SVEG9fw1Bz3rW1m2iLrCSfJGmpUgSLlmizeeipXgNxxPH+dATZz7wPxY/xsf++DG6kl3l+zJGhuf7ngcciHmpIgu7wzO2tGX3L0nBKtp1vlozutdWklvILefElraEJZNkpzprfT30vXxy8loI9sMcWmlHAUJGCMgNDoHqBQRScYMqmXlkM4cVaCC0aAntN19Zfu7RKy7H6M0RaMzR8Eb3/CEvU2LqHE0ApbS8rB+WDuS5df3p3+SxgsW+oTS9W/cQ7jlG80tPUXv9tWTq6zG6uvCuX0+lrbPynz9N9NrbydQ1o2ASL/QR9LSCAFtyPgCKDLptE9JUshZ0pXReGBBc3BSYcRA/WxbCxCi1aqYt6M+a6ELjdU0fx681kjFDyLKg1qOyLKSxPKxNck0TQvBE91bcrpU0BpejKUEEAsPKYNhZ2ipaEUhUeRzf0wafimvCNSzUwH/3yG66kl3IyCiygm3bWGUHX5AlGUtYBLUgD9z4wLTHnbic2Dqwlf/c/T0qtFauXvo+anwr+c6O2xZ0RvfaSXJTK6CrvwJP/G84/pyT9NwVc/M0ndjSlqJ0u34txI7PACeZgNdLD0OJd9CzbXbsiTkokxQs4QzW02mMTA6CbpDl4raxuHOUJES4Fb/CiWowM4Jq9GIgowTcZ/ZlMCWmUpmyZg5j6w6UgoHc1ED2nBW45O0zvskNW3A4XqAnbWI8/TSLH/0Noe4OAPIHDkwiuHd/4E7Ch6Msf+Bu9v/FX6PVL6fa4yZZGMXjqkKRVGwkFBwc3XDepD3gYjhvcyRpoMgZLm4KlJOFEIKxvMWxvYc5/scXsGWZznCKp6v3kdU7WVuznE+f92lU+eT3T6mV7Unr/Gj/I6hKLS4lSNDdhmlnWRH2cVZNYNL2tvScwazjvfDmpX/LvtE9xPP9ZO0RAloNkhLAsnNYVicXNW6csfpcqIH/1OO80P8C//jSPzrCrCjctvI27o3ee8rjCiGo8baStgxawu1cu2I9ugWG8KPIYQJaAxljYMFmdHNOcpFI5E3ALcC3o9Horkgkcmc0Gv3+glzNqxlTK6D7/uoE0V5S5qYOAqduabu3wM6fTL/UKOH1JJUT2rw29G531E1Oh+GbpTKJEI64pGaZFDo7sQMhZLcbWc9PomoJAXZygMChR+HwN52WtOsF2i8ddr4MbruXzM69dH/s2jNy6irFqahM4UsvJ3zJBfz0g8+i2DDyF4/B568r/zyDOZODMR3dEjSO9qB89XMo5gkRgfyePZNuF4JhRi68gtjac3Cn4si5NCLoZyyfJZ+PUe1bjo2CbjsYOtOGzrTJqpCLzrTBgZiOLGU4t9bLQHE7mi8YZJ7bQmV0D1VH9jPYNszY1Z5J0kMTKyPdEvQXfQyG8ybxgo1PWwbYZPVhelMv0pN4loePjJRbyA+d/beoSiNDWbMosABhTeb8hmWsrVlCxnDu86sFPvf8nSQL3dyw+H+dsr1eqIF/6TiludpofrT4hQmaqnHbqtv49eFfn3Rc07Lpzpg80rmLtOEm4K5HQsa084znehnK7CeeO8horgPTzi4ogHg+ldxfA38J/H0kEqmC8tb6v3ecqgJadzMsv2ph1EFOt9QoGeMgg552KshCGrBhzdvg4v+5IEolpnD8SnP3/w473Ibt9iB7PJCIUUqushAICWxkKrK9zusyuHfSl4H901vpuz8IlgRIZ+TUNVOUiP8/6/otF33854SK3X+7qAIc5Y39sQKjOYugJrMhKDH67g9hmgauxYsxBwfLpHZzfJx0RZjhs84n2bYUz6rVVL/wFFV/fJRn39jG3iuvwqvWUOGup1pTiOmOxkzBAr8K2aJk07oqF9G4wc6RPMcTOs0BF7Veldp7f45013eK/F+4YtOV3HrjZyZVRs/1Ps+FLVfTmzYZyBrEChYZw9G+02SJtdW11LqTPNP9AodGfwtIhNyt1PgiZKwlfGfP82xqvohtg4/Rm+zARqPGt4xaXz0bG9bxy0PfoDO+jYQ+Vn4Nv7zty2zu2nzKGdtCsRGEEFx/3/V0pjon3Z8387zld28BIOCq4KHjW/hdx1EC7sWEPW141QCm7SaW7yUx+jQj2T2MZaPkTOda1KL0V+n2XBRgThXzSXIj0Wg0DnwqEol8GThvQa7k1Y7ZVEBnqg4y3VIj2TeZTubyFb1adfBVwzvuhrvfBkYW9v4KDj/itKqekNPOzvNaCpbASibI//5BxO0fR2gaFPJItu1kPySQNKzl14BuU/HWb0Lo+84GeOxI+ctgaHsIK//qCh4u+vndnP3Ts3n/owbh7In7BTLHkzpHEjqSBCvDGosqXAx9+cvl7ezSB+6n47rr0bu60K97G8czJknNh6IXaOw5yvkfeTe93/xHjPgYoi9Od8JFa+hSJElHSO1UumXiBWfrmjbBr0DGEuwc1anxyBi2IGHYtMvQ/uhvGP7+t5yL0zTQdWq9tTQEGvGoHtxKkGrfKgbzzTzXnyGh20WPDUdWfnFQY02lRtgdBhqo972PrrQEcjXNgcVEKpfzh46fMZbdx1GfYCxfoNK3BssuMJTew+6hXTzdWSClp5Clyb+T2c7YTsVGmEt0p7pRJRWBKC4OJHyuBhorzqHau5oq31IUyZm26laS4fRehjK7SeQOUucP0pXsKuPtLmm5mpuW30TAFeBw7Bhf3vaFWSvAzCbmk+T+ULoRjUY/E4lEPnrGV/HfIc5YHWSGpcZDnzhBJ1M0p3orxXXfhGe/5iQ4cKqnUquKcBYF84Rt6JbASqVx6XmEqmKbFnI+j7AddyRnG5FFD3qc1qc05J7wZZDduZP4L98JzAzYXQiajiRJ/G7xF9Ff+RQCyHqAika2t7RTF9ep9SqsrnTjVeWTtrMjP/whQzXNDJ13BWawEZc+TPOWp6iK7iV86SWkf/xDjJjDqlg2KFjz3Mvs2wRtoUsYy+yjLrAev0sibTiA4bQFLsmphOO6zdnVbo4mdPaOFYgdH2c1RRtHTUPoOr8//jD3/S7KkvQiPjJyO/mqesxxP0OSQx2r9SqsrHSzPOTmV4fuYUtflrPqLidreRjN5XC72hjPHaXWU8m5tdVs7vTT4FlCT8Yma4wymHqRloCfd618M1/a9jS2pPA/Xvc/aA4084djf+D5vuexhMWV7VeyuWvzKWdhp2MjzDYkSeL+Gx5gJJfhYGyMZ/sPE3S341ZCuBUPOTNJIt+NX0nz1mXnszS0kiNxhb/547dRJIX3rvkY1y29zvkC0S2Suk28YDGYt5DURZxV+whbB184pQLMXOK0SS4SifwE+EA0GtUBotHoAxMfj0aj3zyTC4hEIl8HLsDpoT4ejUa3T3jsCuCLgAU8HI1G/+lMzjVjnKk6yKlgHe6KE7CRfffB4YdPPO9Xt4Mozi1cXvjA09DxFDz2Wec+d8W8YRsFy0YJhwidtR6CIXBpKJJAzgpsSQZJQna5MGxQZQmvOnkbOFvA7kxbu8K2HfzPn2dnNcez83nszzke4uG//jCHO46Rb1lNRrI5u8YziW1Q2s4aqsaR0QyjIwbm2RfiHRui5Tc/Idx5GFlVEaZRFqIs1q0s6bNZ3A+3bXgFTQnid9XRWOEIbqqSw4gQONLg7uEB9FAVu/N5VjUGOXrgGF2XXIuluFj7i//ErAgxuuoc4hespT1Yw2q9ltiKEEJWcJsmy8Ma66o8VLllYgWb5/p6HacsVPbFHieeP0YsdwTL1qnxreJQ3GD/+IMguehJPEc8F8Wm4MwiMzqHxg8gFbF8YXeYK9uv5Mr2K7njsTvYNriN8fz4rGZsc5WTKoUQgpRhM5I3ebRzF2nTTdBdjxC1NAb8xPI9DKS28/qGVnrjz7BtcAsXt1zMRc0fAMCluKlwN+N3NTBaqObpvgxx3aIz2Ufesql0V6HKMrqV4XCsc0YFmPnEbCq5HuClSCTytmg02lm6MxKJrAf+JhqNvm++J49EIhcDy6PR6MZIJLIa+BEwsXT5BnAV0Ac8H4lEfhuNRg/M93zTxkKog5wO1vHZXufv3VsmP09MeDOueZuT6J6b4MQeuWbesI2CJVD8ARZ/+Z+RD8bAsFFVL3Iihi27QJJQA35MW+BV5ZMMpWcL2J1ua/e3j32cO3+TRliOWc50c7yJ6iOxZbWEh0ZInnsBWy+/BBsvbTt3Eqwco+F9k99e9rIVDL39PQxqAWxZoTKXoObJ+/F1HkVrbsZzzdVQ0BGWiRmLk3vllbI4qN5Yy+Blm1hV4ybgbkGSVBKFFKsraxnIGWQMm7QhsJDIV9biTsYwQ5VEh1JUHj1IonUJPRdfTWzpKiqG+tC9PoINTawigO3P4RsZoHHrM1AxyrqNdzGYNdkzZmLY0JkcZzR7lPFclKwxRrVvJa3BTXjUMJYoMJzez1h2P/FCD17Vy79f+u+0B9u5/dHbGcoOkTacDkCTNdqCbfSkeoiOR9k+6NQELw28BMw8Y5urnJQQgrRhM1awGMyaDGRM0qZNf3qUsZxFwRpk/8gLDGV2MZY9QMFKokoqtyz/HL88uJcKrYEl4Y3csflL2PhxqTWsq3s/HjWIJK+gN2OgyRID6S56UwfJGgPkjCFShQFS+hB+l++Ulo9zidMmuWg0+veRSGQL8EQkEvk44AL+Bkfg4D/O8PyXA/cXz3MgEolURiKRYDQaTUYikSXAeDQa7QGIRCJ/KP77hUtyC4Wbmy2s49p/c5LeT66fYGtYDR94yqn8fnCZw54AUD2w7LLidc5dJipfVARWENhlZREJRQgKRXdyWZKcYbgioU3AVM3Fe2C6rd07nzQJZQUzxVT1Ee9AnuNvuomOs5aRfP5hNj3wCHV9g6hrV5fPFS9YHE/pDFoVJIM1hPe/Qu3e7TRd82bSwsCASbLsdjbL0Te9yVHJrW8mtnwtuzeu4nC7B81M0J/aRiJ3hHNq/g8WtZxd42XHSIzUyBh4w+DSKITCSHoWXdYYXv96XNk0whYklkTINLaiZtO48jlqd7xE83OPYVMg37SMjnWXI43kUWSQRIz7Dv8ne4dfQFPraa44j0Whs2gLtvJsz+/pTrzMrSuu4LyG28stpG7p7Bndw8amjQxnhye9drqt8/7H3u9g1IRd3myqkoopzBlnbKcj2AshODDWybd33028IBFwLyag1RFy11HvbyCoeahyKzxx7F464ltIFnoQRXycR62k2reKkLuF3xw9zPr6D+FzVVITuIBQdi9IEpZdQLcypArdrAhtoN7nI+yWafSE+NauLfQkTnBi39x+1azNtGcTs53JPQs8CvweGAZuiUajzy7A+RuAHRP+PlS8L1n8c2TCY4PA0gU4pxMLqQ4yW8OZ8WOTfVvV4nkzo3DPO5w/AZAg1AINZzkb1nnIROlFKziKxtFOCPzLl1HQbTAdIpMlwK9Kkwjac/UemLi1azgW5592Wg76r6ICkUqddG0l9REhSYyuPoeBcy8CSWL9Y3+kdt+OMljZ2HeAaOpupEuvI1awUWWo3PwgzT/5Jq7sidnmdLLsXV//Bn1tK4ldvppCRRjZNMjHohz0R0kUHGf7oBbkxqXr6E6r9GVMvF3P09BhE1u8klx1LSguhFvBsm1QVWyPFywLIQSm14dvZJD2zb9DkiS63vuX6ANDBFIFQslRNtR4qPbI/PbIs/Rn8qysfReq7KFgJdk19CBb+rpIFUaRJIlKz9tYV7tuUgv5w70/5O4Dd5eTmEfxYAkLwzYcEHAxIayrWcdNy28ipadOOWOb3q/hCm6O3EFftoKdo2mOxHU87oto8WiYdp6CleTA6MvsGOjiu5d/kUZ/kGxhPb842EmVdwleVy0VWhOqHMCl+FAkN6qiEnQFWBJupdLt5fLWlahSlrFcJ99+5TtkjDE21OTK17epZSObWjbO/JlZgJjNTO7bwLXAPcAq4B+Aj0UikZej0Wj2lE8+fUyFhReFfU772JnHq6kOMl2U2uJCca4luxyGxD23OrNAYU34xwISvfDt85xrCTTMmQ5WsBzeoi04UckJRwl46os4VfRxtt4DE6Mr2YXHkvmb+52f4+E3+rihM4w5JcmV1EeyNfX0XX49mUCIynSMZckB3LUVcOklpLZtZ6x5MWMXXoa1YiVVpmBlWKPq6D76/v1Lzss3YRFSkmU3bUFv2qDzcCc9Wi3SOTVUjI9Q/8zDLNp4Dl+sfRLFmLxZVCSFtVVuTN0gdkSnftd28iuWY5gGpqyAojgvGg7URNV13IlxdI+PdGMrR258N56BDja7nuW9T+9j8cEu1NveTsa0OTxUQFY3cFlbNcvDlSwNBvjok7czlBsqvx6arNEabKUn1TOphcxZOUxhlq/V5/KxOLSYHUM7uKj5Ir51+bdO+h2casa2sWkja2vPZ7xgEStYjOYt0obN0aTAFAUUJMLuEK3+MSKVVSwKhBjIdPDFbT+nQmtic3cHLcFVuLWLeefaizGK35yGbbB98EVMK8Pa2iYuaFpNSJMJawpBTUaWKopXsJwnu37JtsHhBVsozDZmU8ntBT4VjUZLzsp/EYlEPglsiUQiN0ej0cNncP4+nIqtFE04Fdt0jzUDA2dwrsmxAJ6ms46JbbHqdpKabTj/zxRm/sS1zIMOVrAcDTRbOEKRUHTmmvLdIYDAFOrSqQC70zl1lbZ2mX/9JnLqYUZCEvdsNLn0cAofYAwOcnDNWqcKCoXpv+BSUm9/N+LIYdof+x3tF55H49f/Fd0S9KQNDv74HnTdpKqlkfVXvsHxSi0U6JhmESKA0ZxJX5EVYJkmhc1P0PjKVpZuOp/CzmcwurpQz98w42bxfWs/iP3gfeS9YY7e/F6qW1spdPVjhV0I2amGsS2wbSxFRfL4kIWNbZnYikpWKXDuUUFAeOm84gayTevRdhykfvVyLqivoXFxA6osIYRgOHdy+3nn5jtPaiFvXHYjsXyMtmAbd+29i3g+zm59d3mGdroZmxCCtGkznrcYL1iM5y1yluPlYRcxlJosEdJk6rwqYbeMJnvR7SoSusVQwSZprWR17TtRZS9JM8Ro3nJ8QGR4tucPjOe7GM0eJ60PIJPlKxfdR1BzOqC5zgBfzZjNTO6709z3r5FI5BXgYWDZGZx/M/B/gO9FIpENQH80Gk0Vz9EZiUSCkUikHejFqSbfeQbnmhwL4Gk6q5jaFt92L1QtcR7z10JuHL5/iYOJm+7x6drmWcBdCpZNpVvFFqJsqCgBsjRB/LcYFdrpcVKnc+pqHDE59tvHAIgtquTal+LIKaelTD/zNFgWibal9F54BXZdPWvOW4/ynS8hjh+hcPFFHIwV6M0YWDZUGHnCj/yO9rdeT11RDWRwyiJk6PmXGD5vER0rz0ed4IWg/fTHGD/+NlpzMy13fp+O358AA0zdLB6KDXAspfHkwX5iaRNVTSHcHjpjSdwIvGPD5AMhbJ+vuACSEJIEeUHFyACm6iJTWYer6SwCVSuItjiqxNV/fISqHxxgwxaHtF4Cz47nx8vtp1f1OtUiJkIIDDFZo+1Tz3yKA2MHcMkuTNtEILBtm4ArwG0rb+OjT330pBmbKgdpCZ7Fhobb+GN/loLl4PRsUaTxCQk1Nob58O/xjY8RfsNGApdcQtKwGc6bGJZAtwXbB7dj2AaGZWDYOqadYYp68q4AACAASURBVF31+dT7PIQ1maBL5vPPfgWluBQzbGOSoQ3MXmTzTxHz5q5Go9GnIpHIpWdy8mg0+mIkEtkRiURexOkGPhyJRN4LJKLR6H3Ah3DaZIB7z7BqPPOYj0/E6dpiyyxyWCUwcvDT64tPlGD19XDLTycfbxZwF1sIDBvcigNmnZjUpAldvy2cxBechdrGTE5dpW/sa3prHF6sZbF8zzjOd7WTXg3NS+8ll5NYtBxPfJQ1vYeo/W2cHlMwdOm1pGqX4d51kPb1K1lc4aLiUx+ET32wfI7SIsR0e8hcdjVPPvICo5veAoUCVceO0K4aLLvxaoyODo794LtInLwwObZlM7EfVqC99a3sGhnAkjawqmYTNb4VZFIZkouWY3p8kE7jz2YAiYruY3gDAVKNi9Cra53W1bAwfH4yLYvRCjkUt0YhEEDOpvEM9aLmczQkR6h68xWTXqepIFyv6mV11Wp2DO/gDc1vKLefvzj4C34V/RU3LbsJwzLoTHaWE+OS0BK+dfm3qPPV8bGzP85/7vkRY3kDn6uRGt9SmgLtrKpeS1z3AhaWOCFA4FYUVMsk9scnML1+EourSfprcCcNSkxmlyzhUyUG0gfIGUOk9UEShV7cssF5F91IQHOXf57T4e3mIrL5ascZEfRLm88zPMZnpty1e8JjzwILO5Wcr6ENnH4BMBKF+//aIeeLYv2kemdui20b+ndAWaB7YgiIPgK52InFwizhLnqxP3UrElnLLlsPOgq0Ats0wZYwxsZQ/X58rvDcXsMJUfrG3pxQeOcSG9mWsYVAlRXO7lYYWbKawXM3IRSVxpefpWbvDpJNbRzNv5705TeiGDrVzzxGzXdeYf3LW086vi0E/b1DdF5xA4nmdoQk492ylcYj+6jsOIgrl8WSZeSbrplxYSIkCckIcuyVQe5f9CQgIUse/K4agtpyhhWBVGngy6UJpGKgZ8nnLSTLpPlX38BsXs3Ra24h07zI0QEUgoLqQvj91HlVCqZNUnORr2vAPTZMx3s+QuNbLin/DJIk8f5176cv3UdbsI0f7vsh8UKc3SO7T2rfSq+nS3aVWQ0SEn6Xn/+47AcIKtk1mqcgncW7134dUUxQChKGbWHYEgXTAXwrsoQFqEhkTJvsgShmRRW2oiCbJj6jQMgtE9KU8hwt5JZZE75+UgLLGcZJy4zT4e1mI7L5p4rXjgpJKeZjaFOK0+nB7fwxjHdMfo5ZHGV+fDdUtk9+7KFPwOgRZwEhbIegb1sOXs42AenEYmEOcJf8xCRnOMlWovimt2ysbA48XmxFRTYNvKcwGD5dlL+xlQ7+9W2i/I39lys+yOH/uJdsdT1VVoHGFx8hKVQ63vMRjNZFaIU8zU/8gao92/HU1eK/9uryMad6IeTrl2K+7nxahnqoHe7Bl0mS6Thw0iLEvWIF/osuIvPccwjDoFARZnzVWYwvW026soJRr44QUOldTNjdREALoioqVV6FcE07DV6VBp9KpVsmet2NHFp/IUOX3UL4WBT/8AB6fROGdmJ8YNiQKFg0B1wossVoXRMir1OhyWwfybGm0k1LwGm3n+9//uT2kxPt50mvZ7wDRa6gxb+SdbUXcW7jZRyK+4ACiuQYgoMgY9jolsAUzihCk53fs1T8ndsCdCGQ42PIB/YSGh/Fn47j7TpG00UXsPj6N5wkfX6qBPZqzNpebXOb116SOxPhytMtADwh5/5z74DI1U61uO17zn2P/h3cNqXlm+5a7v8rJ/GWKsHHP+8cZ3C3k+BmAXcpTEhy43mnXRWyo+2f6+wCf9jRU1MUFNt0oCbzjKnf2KYtOJrUOfjMVkx/BS3Pb8b3tps5eukNFAyTqtZGzrvuChp8Ksd++T0MQy8vM6bzQqjzqjRX11Cz8rpJH8bpFiFaaytyXT3jrUsZj6wn1dQGLhVXbBz34lVULF7BetsRdA9pMvU+lZaARoPXSWz3HLqHgcwAb178FuKRVQgg1bacxJJVNG35Iy1eheNnbSRulIWqSJvORrc1oCJVBRnzrmHEI7NMldg3XuDRzmeI53fz1mVvRbf0ye1ncAnfusJpP4UQZE1BS+g8PnvBTxgvWOWKXJMFiiyRN53knzNsdOFU55oiocoSIcVJbJZwGCyqBB5VJuyWCWKR+PT/Qju0n7r330Fy59MYXV34zls/6TWdTQKbbtZm2Aay5Lx+d+29a85J6tU2t3ntJbmFEK4sxdQFwFVfnPz48jfB9h84CSvZ47TKj38Ooo+e2J7KKuz6ObScB+veBg9+ZEpba8OxJ52bisZs4C6F4nrfLUvkrBOVnJzJkB8bRwQqcfAkClo+O2+DlqkxkjM5ECuQHo/jfuIR/NkMo2+/HammBvfBJ2nZ+iw1NSG8pJBvfQdqdTWF3l7GW5dybPshup95ESEEdcvaWfOmN54k/Dgxpi5CUoZFx94jHFGrMS+9FpdpIOl5EkvPIrv+AkQggB9YFHCxPKTROMXARQjBo10vkdA9HIi/QNXFK7lw6zDL7/8pw6vWYgSCLOk/QvPVV/DCQJaYbpcTXdYUdKdN2gIuZGA0b3EkXmBVlYcn4mmOxcboTvwKsJCK//ldfr5x+Q9AqmT3aJ7xglX+clIlij+3U6n1GzbOr1E4FDxFIljciCuSk9CU4qY05FYIawphTS4Lfg5+6Uvo+3bNyF4pVVKvDL+CLWx+vP/HSEhl1d6Jy4LpZm3NgWb2je1Dt/R5JalX29zmtZfkpsZ8ifmz4btuv+tERbb4jU6rvP/+yf/GNuHY0/C9N8LNP3SOV4qqpXDJZ+G+O+cEdykUE5tWbFcFgADjcBQhy0ia5vAgJQm3np/9zzxD5C2bQzGdwayJKgt8iTGG2peDZRN+/inq9ryMd9yBThT6YWDfPrjpZtLfuouBrImpm+R+fS91e16m8uh+Gq+9hoabTi3/0/6Ln5fVebcMZYlldVIvvIySz2C/fiN9qhfD5UZVVWqrg6yu1FgSdBOa4kyVM522uC9jcNmij7Nn9BV6xrZy23d30tQ5wO5rlrFm6zBHzrmEg5F1XFahYQl4aTBDQnc21zaQMwVdaYPWgAsJGMtb7B/Lc17dCkDgc1VxPPYkNb5W1tVu4vWNV3Aw7sMWeQROm2kJyJiOXWBpYaTI4FVkNJfDStFkB7jtd0nFGZqT0GayM5wNe2X36zR2DO1AkZQyP7akLnJZ62V88rxPlpcF083aupJdPHb8sXknqVfb3Oa1neTmS8yfzQLg2DPwBwfXhaLBZZ93Fh6yy/m3l/6dM4t7/PMOEFjPwC/feQIU7KuF9z7kzN2e+LxTaW788MnV4jRRsAQu2Vk0ZEzbQcbls5DNQmUNqBqYjsGBpzB/PLcQgp6MSTSWJ2s6piuGDWZVHa0UqB84ilvOwdlryLyUIq9qJM9/I6lNl9E9lCt7IWj3/Bf2j753Evp7pnMmdJveCWYxmgzpvXsZaVlKfsMbkCsqcA320fT8E6z3w4pPfKScADJbttJ55weJty5Fv+OvKJzr7LWqPApXti3i3ZGljHzlKLHOAVzNzdz65d/Scd31LH34XnrX/CMv7Oqg/iPvofXcTVh/cScZfwhLFDXpTEF3SqfZ76LS40i0m6KBjU1NJPVLsBfdQUiTUWQJWZIoWDY5S2AU/wRnyeBWJNyqhM8l4VZkNFki7FYIFSu0kFuZscKdGrNhr5yz5eFJldRzfc/xhS1fQCB4sudJtgxuOWX7uRBJaqG07qaL126Smy8xfzYLgK4X4ac3FP8iwfs2O4llaqsMsOXbTgITVpnLiScMH3jCOe48Kk296O0AjsmKQCByeSTLQvJ5EWU1XRmts4PYLwcn0bRmEyndYu94noGMhSkEPlXGq8osqnDR2hLAtcqZbRq2YChr0vHv3yHp9uNevoyWC19Pc9EWT9/1Cl13OQmuxGKYCB4uKZjolqA/a9CbduZ1pW30aN5kPGOgV7WgFPLUj/SytmsI9ze+BokE6pIlHPqv7yCEQPv4J+mMHmP81g9iuTRCpmBFSKPZr5ZdrGaqfDyJBEv+cC8HVp1H6qqbWf7QPbguvIhjZ19IxhTotiOVU7CgK23glR0DoYTuVGY+l7MKGMlZeFWpaHbtTOckyYFu+FQFn3pyQvMq0rxHCrNhrzROSVK6pZ/gxMrqrNrPhUhSC6V1NzVem0luvsT82fBdu7fBj66BksDPex+C5g3TH697C6RHJt+nuh1snKRA1wvwi1vnXGkWirzV9JatjEbHEas3INsWkrAxMxlE0ADVBQi0/bsZ/METs05yli2IxgvsjxXIGDYVmkKTT2VJUKPRpyJLDrJ/NOd4jg7lTAdhX1lF47NPsKzCpqXuYmBmOafM88877AhgXLfpH80zlDMxbIdvmzUFo3mLfFHlJGDkWfzA3bQ9fh+uvLPNLskrpQeGiK87j/EVazGUMKJhEaHjh6mO7qXl8jfSeMuVk36+U1U+8kvPs+TIUTquuYWj19zC2v4Ocm+4mOMJHRnKrattOwsYt+JUmabtWCDKCCRZIldwbBJDmky1R6XWo5QTm0OFWpgZKcyevTJdkvKpPn52zc8YzAyW288dD/+Y5s/dNa2E1pkkqYXSupsuXntJ7kyI+acD9p77fvjRVZQxb2/6R5A1J/HVrnDULUoxfgx+dtNkapesOsf9xS3OIazivMxfNycJqIIl8AmT7s98BvOvPueIAEsSWlUl+VAYFMVJArZNhSwI3/L2WR23N62zbdgZkvtUiUjYzbKQRo3H0XtLGzZ9GZ3+jONNUGIhNPtdhP76nUgfftek480k56TLKuNnncV4ZD32sg0oKR1jbIyxzj7y4SoIBvH4fSwLuji7xkPteJaR/Aixs1/H1s4YtiyzzGuTXhoh1bIYIUn4h/upfehXhI9HcXk92MnktO3xqSofPRAkV1mDahn0nX8p/ZWVBPKWo80nOWJ0JXaJwKnq5OLtkgtkhQpVHg0kaA+4OKvGs6BJbTYxE3tlapLyqB6a/E3UemuRJRlNt6n/5s/LHcdECa35JClRBK3nLJucKUBuwqUKbly2dk5ad6f9ec/4CP+/xakS1cprHHDwTEDh0/Fdf/3eE4sGcDappahaCh/b6dyOdcH3LzuhCFwK2zxhrlMKdXZuWSV9NmFZxP/tR3i6D2MVTGxVA0DRNILnnks6YyDpNlgmkrCpWrmcxk+cWtx5NGeyZSjHQNZElWFVWGNttYeQpqBbgu60QX/GJKE7INQaj0Kz30WdV5nxAzy1LRy96y7G3AHGrriR+JIIhXA1wrbBW4GZMcimdAhV4h8ZZOnAEc5/x7UEtGLSDzjVij6eZc9znTTXBTm+5WkCyTFq92yjur8Td7+zOT+VAChMrnxyps1AxuTwd+4iFqohX1kDzS1YqRRqLuvsSiVYHnLRlTbJ6DYTfvtleHfAJaHJ4JZlNNW5HdQUBnMm+nCODTVetDOA8cw1pmOvTE1S/7zlnxnPj3PJry6hUFTNueNJGTWhn/Tc8nFPwtdt58BYB+N5i3wxkeUsm3zpT0tg2XA0foSskaUt2IZbcdGdOLigPNfXXpI7VaIaOQzDBygLnhSSEP0DHHnM0Xw7Hd/1+DMzP6Z6HAjJ5s/DgfuZlaCKy+twWU9TaU7UZ7PcXsxEAv3xzUj+CoTHAwIUy0IIu0zWB8mp5DzatKcWQjCaN9k1WqArbSABy0IuXl/nxavKjOQsjiVzDOcshHD4ryvDGo1+tTwPPFWU2sK8L8DAeI6RGGRveDeGx48kbCzVhVERAl8Q19go1Xu20/rC49QceAX/qpUE3u3MPEuzur6MSUq3ufqcNmpUQe4f7qWyp4OxxavwpOIO68Pvn1EAtLzQSBsM5kzG8o75jCXAWPt61GQMX2Kcho3nkP7102QllVw4RFwPkSjYeGRwqxLuYnWiTxBF0C2BLMnIAlThKBCnDBuvKhErWGwZynJOrfckt61XGyQ7NUpJyu/y41JcFOxCOcFFegWX7HA+L6XZqSXLpA2b3xz+PSO5FK9ruBBZ8tCbGsWWX8f5zRfRGl7JtuFc+RyaIuFRJAIumVqPjEeV+OXBuzk4tgvbziHQF5zn+tpLcqdKVE/+k8NAsA2ndZRkJxHaJtx1JXzy0KkZER8+mZY0Ke77Kzhw38n3a364/SGoXw2//7hjaFNqXWchAVXSZwMwfD7MwUHUXBrvO9+NVUToy7aFJEknCGSKglYZpulDd046li0cWEY0rtOTNjBsQZNP5YJ6L4os0ZV2WAiG7bxhFwVcNPlVlJ0v033HHRybjdy5EMQWRzj+0b9jpLaZgteHnckip1PYiowZrkUIgTs2QvNgB3U/+S7+4f5ye2nrOsM5B/ZRSrJBTWZVpUajz8X4V79MrPsog75KDr71/Vz6NWfup1RVlRcJlkujZyxF9NEXSa1ax3j+BE7N8byQqfMquNMJktueRg+EsFasorezn/yK9ci5LO5YjCYFrOY2mgMq7QGVnaPOrHIkb5KzHK8IIUCYNpYiIZBRJRt1dIzBZ59FyecobNjAlvXrOLvGQ43nxEfy1QbJlmIqCPieQ/eQNtKoshe3EsQnKnhv1E/fBSF2n1PPskw1ugXKmnX4BrLsiwlieYNo/BlMO0PBTJIz40joXHX2W2jye/CoMl5FKnvKlkIIwR1rbua7e5L0pYeRJA3LGlpQnutrL8mdKkqbz23fO8FC+K8rIB93HLbOxKoQoH/39PfrGfivy2DDO+csAVXSZwPnG9b0BhCmibcigOe667H39CAhkIVVFs8svc1cyglsVUmL7VhKZzhnkTdtwm6FtZVuJIniokGUWQhNfmdgLkmSo8I7Qel3JtvCtGFzLKlzNKGTMgJYm96ER5HwZDPEDkbRw1VIlkV4fIjGZx+jduvTuAzdgbsA+VAl4yvWkTx/E96R/KQkGyy2rhPb4KOhFpY9dT+2opCrqiNZ28bu/iypOz5NtqYB26WBCYG8SYVLodYj4VEdmZa87VRgwxmD3Iq1CAHq8DDeQ/tp7DhAqOc4FX2dKJZJxbZd7BsvMJK3WRnWiMYN3KpET9ogbzlbV0kUzYWEjbAhu3cfgWQc0+3BKhSwBewYybOq0k1bkQr2aoJkS768OUvwePcu+jNjPNc/iEcNosoBzm36GKqsYQubSJ8gtU4wKhvsXJai+blBqoYTVNUEaK7eiEs0c9e++zkc249h60Vq3ybuWP9RarxVFCxBOmdSsIVTeadH2Nz9NPF8FoGKS9For3wrN6w4i6AW5NJm36y6gdnGn5Pc1JgI8+jecoKZIKz5WxWWYtFGGJlJvV04Seyar85aAmrqdjLxwAMYPicRBtpaGX76GUTVEgQSIpEk8cijGCvWIEJVoLrQZMibNl1px/w4bdjkTBu3LNFQ4cKjyhxNOouRsFtmdZWzQZ2K0ZpYSU4N0xZ0pnQOx3VG8g5VyaM4ZskSMgndJqXbSJJM/StbaH7pCUJdR8vqwJZLIx5Zx/iKdWTqm5Fsm8r4qLNwmGbmV+jqIl9TTzpUTXNLO2PtK+i++iZ0fxDbpSGbBmohj3+oD49t4KmpxuONIJCwimYtIGHYNqokEarwUZsZJzQ2QDg2jDeTJPvyFAhGwIUlBAdjOg0+hZaAQl8GlgQ1OhI6BbtY0QHYgmQmh1bdALkc4a6jRPu2cyzUS5UnTKJwDpnqasd+8QzwZ7YQJ83AcqajJ5e3BHnrhDrNxW13sm9sH+O5QXJmAsOK45JSXNS8kdTxvVzwgwfRUgm2RxSW9waoP+xFk3wYxyvp/+Nz1G68kE+c951yEtOLQObjKTieOgE2lySHhdOTHqIzcQRbFLDsHIaV4dBogpf7Ze668rto8sLqOf45yU2NkkpJ9NETfgvgzNTmaQ9YjqmtcvcWB08nyXDTd2H1DTM/d5qYup2M//a3mL4AAIVHH2ZU8sOblwACsmlsxdFEK40DTRueGchi2sLZdFkOoNelSOSL5ceSoItmv+sk9eBSTK0kS0KWg1mDg7ECPekTm9YqtwORiBdsYrqNZdtOmxlWCO7YjDcdhyUtiCUtDB3rYax9BYn2FdiKSoXfQ9Mzm6k8vA+Pz4u2rBHpHbeQMWwSukVCtxnLmww1rCH5t19m3FKwZQWPbeJJxfAP9uDGRm1oxIyPINIptGVLCb7+PMDBuQkbXJKEW5Wp9Thm0tWeClyrJ8+FpoNgLCoyIQ7HdRp9KpVuh2e6IuwmGi84ODoB2DaSYZCvqsOWJWTLQi4cZix3FMNexJPdT6Ap15A1/ZxV7UGRmBZ/9sbWy0jqFjlTOEN9SzjJzHRu69bJM1+34riyhTUFj+qAjo0DBwh+4Z9YYVpU3Hobvhvfx1df/jpD2XEeOv4ii2Jeaq6+GaF58CERAQYn7MCkAx14Vkd4rvdJBjI9ZPRxZMmiPdjEu1a/g8XBFjTFOZda3PIvrqjFNltOqlCzksIrwy/QUnFmNK6p8eckNzVKKiVTw9Jh0cmy3/OOM7RBnA60aufzGF4figS+JYux1p6FkGSk4ofLVlVsRcEuynlbQqDJkMhbZCzHtatKU2jwqTT7VarcyilBqFMryf6XttPVFiF+/rXonWkkoMotsyykYdo2/VmLkaTj0tTgVVkZ1mgJuFDlEHz1i2RNm76Ms6kd+N0DyMkElUf2U3V4H96RAcxAkEx9CyO1DRzedhD1wjQZU1CwHCUOSQJL0qB9CcePj5MpmCyuqWR571HIpAm1NVO/6XzGfvQjsiNjSKtXludwlW6ZGo9KrVeZkSJVipkgGEuCGpYQdCQMGnxK+dirKt0cHC+gC7BsG1l1IckS+ep6EkhYcQuJDvqTW2kNXchAehBZaiNWsFhS4UK366jxr6ApWIEq+wi663hx0MYlnxjoyxK4ZUdDsMIloZaYFeB8rwkHmK0XvU6H8wJTN0ls24d44zUAuEON+BI6G+quYsvAc+TMJCOuOOPZPtTxDFIhi1TIsvJ4Bn8qgy8comLj+Wy1trH5+L+U5aGEEByN6WwbeICHbnqIgGvy6/Rq07hO+n0t+BH/fw+pWO1M3X7KKmz7roOzm48W3cRYABvEmUCrpi+AmoyTP3IEedPF0DMMQmC7PaRrGzC9vvJQzhaCowkDTZFYFtJYEtSo96qoE9rRidaBUxcKw1//Oqm8wehN72L/W97D0MqLEYZJUNisrtQIaTLdGZOOhI5uCwIumXVVjtFypdtJJJYt6MsY9KYNYgUHgFHtUVh0aCccPUyuuo7hN15Jvr6ZnC0wfAFMXwCpogJ33iqrHQdcEkJIPHqgHyFANyxiqTy9A3Had+6g0UzD8sUM5yy49XYqFIlaj0KNV6HGM7MQwHQxk4AowLKghmVDZ8qg3qswkrcIagorKzUODKUxZRlbdYEqIeUtsrWNiJCfVrmVnDGObmXIWH4GMs6HvStl8K61/4SETsqIs7X/RdJ6nKOxPZzbcC4U22CrOEcsCTJMjZIjm6Y4RH5NkUg/8CsqHn8UNZ/Flc1Qfe01tN6wiQcLx9kx8H1UyUkPO1dMTjzf3C/wJCxC115Dw+f+nnOSXXOeHdq2zVsfvIW0YaLbEPauIeyuo6HiEmwhFhQ7+OckNzH+L3vvHSdXfd77v7+nzpm2O9urdlVXQgIJ0YsBUQ3GBWMHDDbugB3j5Nq5brGdxImDbXyTOPGNHduJrxODwTZgsOldFCEJJBBC0gq11fY6O33mtO/vjzNbWUkrEPHr9SPPPzM7Mztzzs7OM0/5lHQf7LyHGV46VmWQ+PIjsOt+GNz+xrToJuIY2SAeCrTqhCOYukr0Qx/Cdlw8VUMqCqX6JqSUQVVXznI+cHy1yeoqE0t/fZKdbR04sVDIOj779hxkW3QBmS99D5mowurrp+GFZ0hsfwF3zcl0hS2KtQ1oQpAwVToqDRZEgznfbP6p48lyolLRFcg5PulrP01202ackAVS4ukG3oQyrfQR48mA46komCpUmCpRTfCD/cOMZ0uELYOqCova6iiPXvpRmiosrjihYd7V2hsNIQSL4zpZx+NANtDq6844hApZwj0HyLQsQqoq+CA1M6BPhauodiNk1UqK3jgGOTSlEsf3sX3wpUl1KEK1VU1Xuoeh/BCjxXzA21WDxGUqMy9nXFdeTwvLb9lC17/cQpSpMUPIKaEK8bqFxzN9z/CtDd8Kzg9BMuxRP8ZkJXuoykxVLPKuSn/eKbfSM2eDNdHLqS0fly99DFUj7wYV55uR/5od/5Pkpsejf1OWIp8ICaVsACkRKlS2wXjXG9Oig8OzLdwiPPtP864SD0nXsaJUtLczduklDHb24+shEKBVVWGPp/C1qbd8dZXJ6fXhQx7upHUgUExUk6lr46WDGUaKHrmsCg2tVO7bSf2Lz6F6DoNrzmDv5dfgRGMY+7tYtngByyrNSVBw0fPZkyqxP20zbgdKG4YS6KGZqiBlB8lUAHasgtLiZUjA1zSE76P296HnMkTSSWqaammrs6gwVGK6IONIhosut1xzMil7SoWlJqRS+waqtUOFlEHLF8zCpmZgeccj606JWHq+JOUEH2hFgGcLNCnRMynsispgDquIQNXS91E0kxAJXFlCCsGqhMnGwT3kXaixqsm7KiWnn2cO/jN5Z5zjV17Dec2XHvmA54hD0ekm4tneZ8k4GSzNwpUuhjKFpYwbcb75kRTntpzHLed+pmyQEyysbt74j9i+wEfnhPobMdUQlnk6L48EWDtNAUtTCGsC1xsDuZ+u8ddI20OUvDSeX2RBuIcLWr76Jt6h18f/JLnpYUR4XZs6QbuSHlgV8NWeqfsOoUWXKjh854GdbN4/xoHRYLD/1UuXc8Po9w7Ntki0BRi9N1ElOgsWklyygkxLG32949iuD3qQNLxcriwD7iANBeH7RIxDv/25LVvof+Rxxk86i+TxJzNe34q7cBFWwSNmKBxXoSBefY7xymr6PvhRctEK/GwWa6ifsLqF/gAAIABJREFU1qfup277CzSnr8H89PVsGy3RnbUZKwUJwFAFEU2hJqSgKwLXD5JD3pO4PrhSoushIss7iOgKtSGVREglfdOPMV7eQu0H3k/io59ltOjRlXUYKQQu9RBsgZdWGNRYKvE3UK35MkheeccjXxapzNo+edcnV95Mun7QHgZOaLIsLy9QFdBE+VIRVJsKWTVYAmiGgmNZtO3ZSk/7csYT9fgT8uaugxQSxdDRFIuCl8XSFZ7tvpmMW0Vz7DR0NYznF6kOr8HLPss18wTJzjVuOBSdbiLu2XsPu8Z2c3vnvZhqHEON0RI/C0ONE9Gr0JQobYmTeKpvirEjkbjE8GQO2xsjWdiLqcIJVe+hOhQAyKePQe5+7UU29t01Ocfz/EAU4I7OO7hx9Y3HDAMI/5PkZsbE5vOFf5/7fiM28+dDKITsGcpyx+buQCdMVXB9yXjeOQIGLvqGFIullIyVPPalbQ5+9bvkcw6WXUBs3YratADXDBgPMpNB8z0UVadkGOB66LMSgCxDKPpTBXY8sonUdX+Gt2wZXjKJPjbGoudvY0X8RdymUzhw/PUMfPgz5F2fkKrQHhLo//g91P17KSWq2XfJB3hl2Rm4+zL4EnQlkDOKGwqeH6iYDBV8bD9IFqYSYNSqxodQ/u2HRAZ7abn8UhZc/4kAxCwlr0YshleeyOCqM3F7gw+YoQpqrQCzVx3SDkuPmlDfTdseGccn6wSJK+9MtVG2H1Rhvpz6ulNEkLRUESSxkCrKFYlCRFcCrJ+qTLaGpjrVJioCtowUGS5oULEM/YQOPlgT4sHuHD3DKTxNQxoGJVlE+A4RvRbHz7I/ZXPV8r/kjl1/S9f4Q7RUnE9Ur+bE+ss4bc2fU2HWHPI8J2KucUNpzx7GfnkrnhlCOeV0On91J8P1bZQaFtKjVfDqw89z+ZK/pXVkB8niFN5R4mN7WWw3jecPcF7zYhoiJpYmsNSAubCi4l0zuKuO7/Dg/ttex129bedtdI51cvWyqzm58WTSpTTf2fQdbN8GyTERypweb+8kdyhTm48/AL/+aHBbuCqgdM32ZzjMdrQlYXHhinpWNVfw82f3U3LLZcbR2CAeQbFYSkl/3mXXeInBfMANDKkCS0jq7vstYmyMTHMbqCpCSqJOgZInsa2ASSEUgaZM+SkMlH1LU7bP2O692C2LMaRHm9KFcd+dGAcHcc9oZ8vKDzJuNeL07CNUv4J6y8DSFFwfBpasorjyVOxoHAATqDaDOVve9Rgr+QwWgmWBqQjihkKtpdFoqVSGNKJukf3XfWwSc6eMnkx/3mW46AXV2lcDY+nKaZvQqBZo2Nm+ZLzkknN9Rnbuoe+u32HHKuGUU2HJMoquJOOUGM6PYPsBdUgIQUg1qQ/XEDNChFRBpakQVhXCuiCqqcSMQNPNnDa4P9qh+Ik1IV4cLjJccCm4kleSJezSo0QGasjXLcANhTDUMCU3C9JBU2L05Bwaw618/YxfEFb6uHnzv5CzO3A8h/v2j/FUt89Hlp/EcdXtc/5vlDxJ17/8mNGKOuyWJdjRCgbaV+EPFRm97vN4E4uuoTwcfyqK52JkUugP3M/ab3yNMxvbeb7vKe7ZcwcH0p0U3BQgWVq5lB+c/wNaYzOZCLMpaEIIfOmzqX/T65LcdLOeu/fePUnjAlAV9ZhvWN/eSW5OU5v7gjYRgtuaToSfXhAsCoxooPB7xp/Cr6875Ha0Ph7iJ9edDMAdmw+SzB/GRPoQkX3tGczMCC4mf7Fe574n7uOrly7nk+9YxP60zY5kiWQp0IqrMFQ6KgPC/NbHnkMb7Kfv9PPxDANFSoyQSXjpEor7DgZPLgSKpjOUd4P5mhPMlaSU+Lkc+qsvU7dnB83VcZSeLJ1tKxm58Frs+kZUU8fwhokWh4lm9qNHluNLKA6PUDAtXMsCAb5QKJhhnKKHEKAL6BpMsbc3ya7uJMlMib+4aCnvPXfx5Dn3/f0tZIRBau3ZjC9cinP82RiDBRQlMMCO68EAvehKdo+XeHk0gI9MtI+eDLZ29qiNOOsihOsSUkPEgISpkrf7eXX4DzheiqI7Ss4ZIV3qJ6Ibx5QmNTtUIVhbE+KF4YDrO1b02Dw8zObijzmbrxH329Aw0dUwtptFRSHn6vTl3UAt2O5jY/+jWNpmllRdTkVoERnX4v9u28x1K2JUW7HJ2WCxfOkMD5NRKmDd5QjDQM2kiWsGVTVVhHQfPZ/GLOUxSgW89U+hjCcxJsDNVQEVcHHFRVy74iIAPvnQJ9k0sImmaBOtsdYZ53fbzttY37OeFwdfRBPajET18vDLJIvJGX/b6RLqJa80qUYMwdLiWAhlTo+3d5Kby0jmrk+VnbPUYFa259Gpx9u5IAF23g9ICFe/4e3oYWNsH6HffAjFd9gnm3lcnIqpqyRR+fWeFDk3mGs1RzU6yn4FuiJ4ZcsOhqVGbPlq9FIBI5PCDlmBAbwE3wzhqhoIgS+hvxDQmVwpCamCmKFS0dND8oWnGVm6ig3LV1OsrsXTTVS7hDk2SkXXa6xq2o6e7mHY+jA9xaVkbI/8eBHalqJbIUQqRWighzpKLDmhnaaIyq7eFN95fBe6rhI2NaorwyRd2DZaZKzoMTI4wshx5+GefDm+YaLYRYxoFLM8bBstBhxVRQSKx2r50lQVEoYgogeto/vbX+Pdezeh8VGMbJqaP/kgDRcGgN2udALh13FK47sOCXV4q0jxmiI4qdZi81CBgbxLU3QNCyu72dr/I9Y0fIYKsxVVsTC0KKpwUEXgHdGbczDUpXz8hH+nLVaFocbozhXpzoyhKQbPDuZojWrUhDQsTRA3VOp8l7Ef3kLtwQPUv/99lP5wB/6+vSSuvZaGD10GX5hZWe255J0448lJcPPROnJNVGaqUMv8aDmZuFRh8FTPBi5seyeuL3GlZFHiVP7Peb/E9SU3Pvqn6GoIVZiASsyoRMpju/V+eye5uUxt7v1cIIHke69/fNuZwSIAAtzc0WjRzTeSXfg/vRDFzjBKnP8Vu5lTFrZTXx0Fy0RRBCfVmnRUmpMsBMeXvDKY4cVXDyIjcVaHfXZnU2T8ZkDglwGgTqJqUglKMKF1JonrQTs2XvLYV9VG5oYv46kaiucSzmeo3PQkNdteRKlOMHrOhWxqWEZ2UR2+GUcpeKjpccI9B4jlM7RcfgnFH92Ok86gn3EWgwWX7pxDxlO54pxlVEYMesaLqJoK8RDr+3JIKfFSBdRonFA0gjLQh5IeJ9TURJXVEsy+DIVoWX3YKs/EQppAndY65rdsoesH3wnenngc35k595wPCPWtJMXriuCkmhDPDxbIuj61kTOR0mI0vx1Lq8JUdDRMENYkz7jog+urhLRFaJpBW1SnJaLxZNf/oya8kprQakxVUG9prEgYCCEYuPlm5HNPoDc30/apj7H3nruYGz0XxGxw8z17f8/u5B5+s/v36EoIITRMrZFqq4J1Cz7E/rSN4weVs+tLPrj8mzzZ/TTJUhpQCWsxGqItDOSGEQj6C6080z+3zP4nT/gWrm+TtpM81/c0jlfktp2385k1n37Df+fXnd8xe6b/P8TB58vcnvDcNKu7plzdkcxLIeSoooyhy3uSl9o+yt31N3BCJIbn+wyMZKl2Ha46pX6Gw9RA3mXnuE3qha1E9+4iVN9A4zXvZ8NjWyhVVuGpakAuL/MJJ4bpkimFjOGCR8H1caREKjqx2hoiOoQ1laJXy4AUHDz7nfjhMEL4CN8l5OWJWiYRp4i9cT1CSpQFbfTv3IO9YBnStlF9Fe21/SgtrRQ9WNJcieNJ0q7EcX3wJa1RHeOFDSgP3U/Y1Fn07W8x9G9/j9K5k7r3vYfGdx2aSjd9c1h9442k7g4UXg6nGXckme43S4qfTnwvuP4k7Sq19wCD9/4BOxJDW7OWpkQdjlfFMtFEOrmTYasHS7cwNQvHD0yhTSV4f1wJng+b+ndx29i97Bi5B4DGyCtcvmgdWTdQa844HotT/fT/4QG82kasM86h81d3MlbVgButZizv0/uHxwmdeebkFtv1Je4//BTXl/T5Eq87y6WL/5bW0e2kS+kyfs2gLlzHqppV9OXDkA++PFQloMHVR9q5dsVCNAV+8vKPSJcO0pd9BU/ahBSNdWvfQ4VhoioCTQSzYK18/WB6iL/bGFTOGScDQE8qwTsXXnjM5KT+qEmuo6NDB/4f0EYg1vDxzs7OfbMe0w90Trvpgs7OzjnKrDcZ86FZlbJT16ULzrQB6RwKIUcT7ngffb/5ArsXXk9P1UkMhNppUlR27eni+d1JMrbCqnMXTya4vOuzY6zESNEjnElS84sf0XvaOjKLV/Dk89vJxxNIoSB9ie95FFBnbAwDnTOfAcfH9ny8MstDACVfMG5L3LKpjqyqQ83nqBjZS729i5iXRqy5Ft80KB4cxBECT9Pxe3oQXQdQATdkYecKFPd3YTS2oCmCiCqosTQefH4vuw6O8dHT23hndY59f/1F8DxiF12E+atfEN7biZ/LMH7rrYzfeuuc0k2zN4fZJ588LCxiehxOpvtI1d4E8X26COShiO8Tofku+QcexEyOEOveRyKq0rB5E12rTiXdtoxlViufPuV0diZtDqQdUo5LwYWSD4YIjKRLPoT0BjpqrqUqfAJjhT1EjQpAoehKRhyPvrzLKwUd6+obUIplYvxQHta+Y/JYlFf3UHviaZM2hpqAkCrQdGXytsXxBaxrWVDeKAt0pWx9WH78xKZ5NjxHSsmn+v4TtTyfdnyHqlAVLRGNqKHPeOxES2xp1qRT2EQkS0k+fP+Hj9mc9I9dyV0DjHd2dl7b0dFxGXAzMGk20NHRIYC+zs7O897So5gPzWpsH3Q9DYggCd747GGpWEPpIgXHw/UkzQxz/u5bcV/ZjFoYQZS3uPLibzMabqU757Bv1x7SSz4HQFWui7P3/BsLR57Ds/Pc5Z/NVwg+eL6U7EsHqh5FT2Iq0Jspkb7qRvI1tUihULDBjlYGwF8B0pfoKlNacgRk8WTJD6TRJaiKLFOkAs05TVGwlIAuFbVUjKGnEW4eNBP7uGsQepSQECSqKolqHmoxh2OYFKNRUpk8aqmIqQoqdZ2F9Ra1IW3SDvArw2kKJTcA/R7GU2Ei5pJumq18UuoMvged3l4Ofvr619nuTXhY5Ddu4vbveeDZDF9zAV9ctHGGTLfrS/Kuz/UPf4686+NKlZaKC4gbdYTNc3m4OxcYA8kpWXNNCaAsuhDEdQWtnBQm5obJ392HPTyIZ4bIRuPkHAV7yfGgarihED11jfz+QIY6S8NHoiLQhMSRgfjmBNHQUC0MNUTEOBtVqPRnt7AnuYELFpxPb85lqOBi+yZKYzMLX9tKPDWK6rmUNmxAZNKEamuInn0Wjc3HVuVjIo5GAn1ijqcJbUaCC6khXOkeM89V+OMnuQuA/yxffwj46az7IwTv8VsX86FZHSXX1PF8Tr/5MSxdxZOSv9R+zynJR3Gkiq3oOGqM3rRL9/p7GF35YfK+iqFGaBpcz8LhZ4gV+nG0CPsSJ2NrEUaV01ijNiJjEf59ZzJw4JJMimAqoTg0gq+bgERqGsJ1UMoS50LXEWgzpbllAHgtOR6+L6mwdGIhHUUEH9iYrlAVUqnwsoTWfxsr3YXlF7Au+RZWlYshkmTMakYi1Qxf9SHGy7xTQ4HqH/+Q8NbNLDjrVFo/++XD/vnnoqdln1o/5Vw2R8ylfDK9fMpvnBIvnbDdS1x9FW42y95v/jX5pnaKlQm0lndwzoKTGSyk6Mm3c/e+dBm3J2mMvx9FUQEFT9qoQLIk0ZRAfHQCMxfA8gS2B/aMr5GgWpbDQ+QO9qFGK9AUgZ5Ooe7eieXYaKpCzatbGPiTj1KIL8RQFc5vNtk+ZpNzAlWVjBN4u5plpr0nBYowqIusYiD7CrtH7+fzay7juIRkQ/9B7h3egdsQ4vFEDT2pl2iPh/mzlzTkSJHYuedOqqa8VfF6CfS5fRrmMqk+vfF0rlt5HR978GPHlKz/x05yDcAwQGdnp9fR0eF3dHQYnZ2dExPjKFDX0dHxW6AJuL2zs/OfD/FcRx/zMbV5A1xTAZiaiu2DoauMhRayyzqbX8Q/jtWygoXVJvlsEl/oqJk04VgV0Yal+E3L2CemBq6eL3lmUyeLcgOsa1ApGippx8dQBBFDmTQVdqSkEDcZyrtYWgBK7R0YwzctUNWAQjSrhXI9n+FkPlDu8CVxTXB8c5TWiE5DWMWcENS864uwN1AqdrQoIw99nZ7oEoaji7DrVkP72cQNhUVxnTorqNa69r1CYe8OQpeef8S3YDY9Lb9lC9nHnwh+0HWk4+AJZRIqYheL7Lv5+zgLFhO96mqSL7yIPZbE1w1cwwx045qbKQodxwzhVtUg6xvYuCtJqq8b9aa/nXwtPxbG0PM0qTYxs5KCJ9FEQD06o3ElkhLp0giPdz+L7RVYEPO4qO38yZZt9nxJm2zrgtsoFtn34U/gDg4GM8P77sPtnuk14XR1sXj5QrYtW0pfzqEprHFavcWLw0UimkJ3zmHcDsQ3dQFCCbTuJDorav+EuN4X/M8JwWBuC890/wcd1e+jIrSQhYl3s3/8UToZYhm8TjVlvjGfjfPRbmSnm1RPzEmf63uOBw4EY4Zj5bkK/41JrqOj41PAp2bdPHuqPFv+Iw98A/gloAPrOzo6nu3s7HzxmBzUkdy31v3ljCToX/lzSr5KabgHO5TAFkYAsC2LBU4XDfzHT5+NlMEAOu+eytOupK1MBcoJMP1+alIv0VBZQWzxe1EJtqSl8sB6tOQzki1RH9dJN6wAJProCG2LW6i0NPKeZLjoM5D38KUM8GOOpOR7eD544QhTGsBT5fBEfaQArRUmL+4ZZn9/ipZV9byjsXnGn0dKSdpqZKT2HIbjyxgPt4IQaF6BmsweaisMapovfp2Ka/tttyKlxJWBGUwAHYChTJGc7VMRD4NpkEPh6e40IV1F11Qc22bw90/hXPkxfM3Aj8UCEvqyZYR78wEj45VXKJ73XmQ8jnna6WTjLXg++LqOVFTwfVTTRLgOFAqYVZVULF2Mlhwluv5xjGwKiiliI0m2NKV48pQcIVXjPy/9OQ2R+KTmGcTLZ7OQ53t/zPahTTRa4/zZmvnzRQf+6Z9mzAnHbg3US2Z7TUSKOdY1RXioO8sLwwXO0yOsSJjsGCuxtMLg6b5+NKUSTyg4Th5EgGnUFBNdXc3jvVnWNUVYW7+W61YMc0LdyYyVGjiQLaAqJrf+eR3XdpzKiiVHJ+c1EbM3zrYbtJLP9D6DQBDWA/5zzslx685bUYRy1D4Nb5XnKvw3JrnOzs6fAT+bfltHR8f/I6jmXi4vIURnZ6cz7XfSwATHqtTR0fEocALwppLceCnQ81fDCyDcjqcaeIqBqxi4aghXDeHETsbeeD92w3sp6TFsPYa7fQewI9jAVi2G9kBfTlWYVHyw1KDdyyJJlYJ/RksVhDWlrLSh0FLYT+Klr1Ewaxhv/zJ9WYd0WZU370qccsuUHktjmBbG+Bjh4X6Gq5vYMlggZKrEQ4Gyr64KTCEo+VAUgUqEImS51YKQGmDkDFWQc6c2DwlL40NLq/ndk7sYHC8iqA82g2Uz6OFCwDQoLf8CsgMsLWhho7pKSAVPCkalZHCshFuGEgTbuuC6P6ty9KXkkae3c8rATj4iJa9VtnCg4PHT57upjui8/8Rmcs88i1NyEJUJqq6+irHf3YtXKOIrAbnfyWYp9AReD6YVQtv3GvHdr2KmxjDTKYxsGiOTIlJTRUgBb8Oz1N94A9XnrGDvxz6OOzjIUxfU0bFlmIakJGSEeEfTRdy09qZJBP/RViSHitl6f4Pf+x4yE2wPUVV6/uzPZ8wNzbt/y4XvvZIHurOs789zaWuUtphOV8ahycrRlXOwtFp0NYzj5VGEQlS3QAi2jRYpeZKLWxdMLk0cX7Khf5TOUYWW+Dnsz+h84qEb2TW67ajxf7M3zr/Y8Qtu3Xlr+X9fxfEcbN9GEQoCMaP9fN+S9/Gl9V86bBX4Vnquwh+/XX0Y+CDBPO7dwBPT7+zo6Dge+AvgYwTFyNnAb9/si24aKtCbc/DaPotc8Nk5H6MI0NLdaDSieQV0r4jh5tHdHIaXR6eAGVIwFAVdDbBo47bHUDmBKoCuBN9ogShGIB+TyqYZ6O3HW/VXeEYMV12CTNt4wQ4AVfjoikI+VyKaGkXLZXGMELmmBaCHKDkuwnNpr7Uo+YHHatENXKXU8uDb9z1yRQc7X8B1XdxYHFdqk2MrQTDC2jFWYumiOtqlQFbG+K/dKUrlFawQYKmCkBZwMyFQ+sg4LkIw1bKVN26GKogIZZKcPtnKlbdyfj6H/qt/ICxdPNOkwbRwF53Oi4vWUhepJD+aJNndD4lqEILCHb9FCDCyKcKdr5LQfMJRi8xDv0VPjmFkU+i5LEK+HgFmymUsuveeyZ8Hbr55sqK64R/vZ++734OT7OLKpVfScO7MGdXEQPyNViQTMXuhMj38dJrsE1P/6hNzwxVXX8UFzREe7M7ycE+W97RFybk++1MWO4ZvZ0XNB4gY9UGi8wtknTxVoQqkhF3JEiVPcmlrlA/+/n2TEJmW+FksrXonvliJL9agKPsxVPuo8H+zN86XLbyM23fdjiIUbjrxJhZXLubPn/hzVKHyzTO+OWNZcPdrd88LdzjfWd4biT92krsDuKijo+MZoESQzOjo6PgK8FRnZ+eGjo6OUWAjgfzZ7zs7Oze92Rdtj+nE9UA5dfombOJSlBXCvcYOfL9jkjI0SR0qX+ZdSZ9tk7I98k5A7A5mXODIqWpGEUFiEdJHKWZQrCZAICN14INAoikCARQ88BwfL19EiVWQTtSh+y6aXQIhiIY0auMhDmYdpBTlwizYjPoSfCRZhwDKELJQbTtYUjC9eQ3OZajgUpWI4vg+CEGFqZAwVKpDKpWGgqYEKiHqZLIKEpjC3PCB2fiwrDPlLzD63IsUznvnjN85afEiLj5jJZYmYNcOQi8+gz4+Vq7I0miF3NQxKwqLH3qQoZY6ZGMVfi5HfuPc/wru6OjkRnUuBeVDbV7h0APxm9beRGTbfnZ+8vw5BURnx+yFil8oBMfr+4hQCLWqCi+ZnOEVAdAY0VnXFOGx3hz3d2d5d1uMgVw157RcztJKi4NZjbQrAQvPL1JwbaJ6CEVK9qdtfncgTX8uiSfz6IpOT/pZNFHitIaTWFm7jvMXvJOTak1GC0eP/5uNL4zoEa5cdiWe7x1S2fdIuMOMnTkmlfPh4o+a5Mp4t4/Pcft3pl3/wrF+3WWV5rweN9G+TZrhupKc4zFaClyckmXtsIlwyyhwUU6YMT1QaDBUie8UKfbvIK/H8bQIXrgGIUT5QywpOBKPMizBcUDX8dBxhIZWcoI0putomobjSygTZ1QRtMmeFLjSp+iBUyohfD+oDEtF0I1Al23ivJjy/nRdj5FUgeaQSnvMmIQ95FyJmh9A3XYHSs9GRGEM16zEbViLs+bDlMK1OL4k29XN6MOP4poW5sqVhFeunPx76GX9MKO/l+i9v6Eqm0HPpTHTKfRcmpoPXEnj+9cBYBfrODh4EKe3d+oNUFXwvMkkMH1JkXnsMQpbtgZ/q1nhjY4y8K1vkbj6qsNCVKZvXidi+kB8egSOZFcf0ZFsIg6p99fVReWVV9Lwja/P6RUB0B43ONPzeWagwMM9OS5qriOsV6AJuKBS47GeDGO2h6qE8AHH9zFVBUUI+nIu16/9DcdXjtGf6+TvN/493emtpAqPs7b2SnpzLrtSCkvjq45acnz23CzrZLn0zktJ2wHoeq5lwZFwh8eqcj5c/LEruT9KDBcCcxVVBMDO3LTqo+BJSq5PqbwE8Mu6/K4vyxSbKYyUKgIpnYBcHHhKxjWFSlPFUiVFT5B1PZIFBzczijTrMPwCkXCUiOkTVT3ywmS4FCg2qEJgeC7KaztI7NlBfcRAXdDK0K495KMVeE2taI2NRGqbieiBvI/tBxVT1glUSI7LD7Jt537yjc24honiOrhi5jZHAGFVoaPS5JHxPEXbAyEYzLvlxUnQYrsjQ3jGGtwlp+ErE2BOCV0DUBVGEQK3exilfRmKY+Ohonj+pFqHpgg8x2X0vgegpp5SZTWK6yBcF8V1yDUuIjMeqNE6w2mGYzUoSyrQTBNS46imgUilSFxyGfo572DbyaeilErU3XA9le99D1pjI87BQHRAb2/H6eoCKVEiEeLvDobsh1JQnl1BHSkO50g235hNnzqUVwTAikSInCPZOlLk6YECp9aG+Namu0kWuxjI7mJt42eImk0IDBwfBD6GqhDWFbJF2LIxzZqf/oIbOhL8YE0/O0Y388lVH+HzT/2IuLmK9T1FmmLnMpbfNK8t5uy52bef/zYlv0TWyR5xWXA4lkl9uP6QlfOx8FyFt2mSe6QnG2j9TxK+g+plwgxEUwVKuVLy/KD1c2WwkYzqAXQjoqmUysP2sCpoiuhUGArDRY/BvMtAIYA8KALimX3U9zxJXXoXqpA4ikVv4ngOVJ9GwapHNcPUhjQWVRjU7djK2H98n9GFHfQtXoEzmMava0YCencX5s5tVF3/aQqeT9YJfBNOqDJI2x7d6RLpn/0K+5x34SaqoVQC10XxPTSh4xK0tApBi5zK2whFEA7p2BJSRQdTUwlrKlEBpj+EOfg05op3Yibq0cf3oz/7fXS3iHbqJxh+bpzU44/jazq+rhO58CLiZxw/o7VPPvAIYmQYqeu4oTAyEsZzfaSmU6hqZDztID2X9IaX8c+6iNBxx2F3d+NnMgjLQhYKhI47jtLmTuRVAa3ObFmKlVLIrLsCxbEJtbZiVCcoPPccimOjmSbx097B8GgRNVKL+q1bUCbGEQok/+J/4/f0UHnxhVRc/2nGih7qDAAvlDZvpueTn0R4HhVXvp/UnXcB03B5byBme0MczisC4OS4Oh6FAAAgAElEQVQ6i5zjsztlY6klXhm8k8XVlxExhnmx/4ec2vx5DHMBvgTbg4KXR3olYv1jFBJVbPns17E3/RRVDLE0sRRDFaSf/QlX7D+L3nPeRV39u9lT3Yrnz48QP9fcbHXtaq5YcsURlwWH2p5OVM7TYSoPHniQ9b3rj4kwArxNk9yKSoMqM2g7XBm0ihMztADGQblsDlqu2pBKa8xgQVTD8QNzkXHbQ1cElZpCwfPZmSyV5YoC67fGsEZjRKNCVyj1vkTSHqWr5jSyoTqSkQXYWhTVLtLw+IMsvedWdq9dxy2rLyUmBKuvvIFoZZywoaJ5LvR2o6dTkKhCrF5DyZe0RAzqwyq2JxkpumxPlkj1D6GuPhMnVokwTUQ2jfB9pFBwJJMzQh/oHi/y1MsjFGyXTN5mYDjNg5sPsKQmzE8/clLgC9D6Tjhz2hytrR0e+yyk+8hvXcLYT9ZTxdQHP3FCBw3TRgGlPXvYd/PXqS+3eEoshhQCWU4S1qmn0nbFefR/97uM3nY7ausCFvzptez76L9gDw4Qe98VJD73GYZ+9G+knngCX9XwNY1IXEevshjZuwMPgd/XhavpqJqOVLXAFPrZDbirTww2vQRz0onInHE+7vAIQ8tW0T085Qs6EdJ1SW3cjfzY/0LxXBTfR1x9A9E1q3E6dyFHRogsPJ6+4cJkNa8KgaIwY7Y7nfWgzjH7nbh9rhnnRLyjKUzO83kt7fC/T/s/aOTZk17LH/b8kBd6f8j5i76GoBIPcDyJlrPxNB1rdIhiZTX2eZ9hRbGFqzs+hCwU+OYDYWTyCWIjw4x++GpqW07l5ztf4YZVpx/SdvJwG+eT6k/iiqVXHHZZMJ/t6VspjPC2THKNEQNNCQQis45PVJ/iIPoyKK8FUGEoRHUFIYLE9mqyhOdLFAShMk1quBCoS0R0hYWxYGgPgqTtMZD36PNdiouvwVs4NZi3FFhqQs2N1+Kls4wuX83B5WuIV8cwVIUdsprFNWGaWypRFcHYA0mKikplQz01Z56C7Ul2p0q8MOzjlpOzXbLxx1MYnguaFhDkbafcHtqgCFRNn6xex9MFDr6ylc9rd7FOfZlqUuSw2OOtwUz969zuY2UlZF+E6f2vl4DDk+Htri5QlMk5lj8BoShHYdMmRn74Q1L/9Us0zyO2qJ3iL36OeXAfeiqF8fwzSK+I+u//MTOZrl5O1WXrGLJAeg7ggF8g99Qs0+emKfqSlJLMxk10feaz+IpC4vobqLzgZLJbXqLnG9/AFwrxa64l/oEPMPSzXxJ+bkNg4ajpgcdEbR3Vp5/C0NYXcVwHX1EpeBJP+vjT9exmQWfmG0qZo6oq0xJgOSHWmCqDeZd9GYtF8QoWVsDaxo+wffh+ktmNtCUuIeOAphgIPYJrgKeqhMbHcGuqOaP1BnaMh1n60+9DcjywinxtO/Ubf01n9aVEjZN4rDfHWQ0W1aHXp4TZczPHc/DxsTSLc1vO5bGux464LDjS9vTNCiMcLt6WSW6kGGDAwpogbgiyDphSIWIJqkyVCl1BCMlgwaMr45Cyg2QiJWUaj8T2RZmbGcgAKUKQtH1Sto+iCCxVYCiQ94Mk6PsBx7HV0lhZZTDys/+g6/gzyNY340RihKqrWd5YQX+6iOtL0DSGisEqwmlsRWYy5Bvb6B8NyCCWJqgKqVSZQWLdsWsIsflJzNFhukwLpyJBuL8H3zSwrQjSBxHVkeUP0LqOOv6vvw1eeCoQDVVDxH2XtYUN8JNzX+8rMU3AYGhXG+5Y+ohkeHPZMkLHHUdx2zZex1qfeC/+9UcIXT/kYqC4bRvw+mR6uMH+7EE+gCwUGPjiF9AKZdn0oQGibomBL36eWHnWlujeS3z3K2R+/AOsWccZu+giQnf/F+EHf4ufShHq7aRSyc1YWkCQTCfa9cADopwA/amt/Owt/dT9vG6TP5Qf5ff77qPkCZpipzNcsCg5/bhSpaP6CqpCUB3SKboOJQ+kaWIbJqpTwovEUG0bu+CwqT/N9lMupybciPSKmEWXwTqXoptEFS7dGZu7Cg5L4gY1IW0y2apC8JHjvsrde35LT6YL2y/iSxfXL6EANz3+FVzfxvNVonolV3V8KCgSypXpfHGHb6UX69syydWEVEquT2/W4aWeFEPpIiPpIp4vOWNpDYvrYmScKcPiKlPFUAPAr08wuHf8QAkk7fqMlalWpsKkNHayDMCNaoKiGywVqswAoPt05yCpxhV47SfiGybSl2gVcUKxEGnXD2SIkJiKQEoIr1iOXvYJbQhrNIU1wrMsBA9UVBBNxCjVVqMmKvFMC90pUQqFEKqCNAzKNMvy9pe5RUPn8pWYxt0t2bUkXwkqsyNBMozWVpq/fwtD37tlcvA/MfQH0JubsU5cgyzZMxcDzz6HLJUmf56PsggcfpA/1+Jg9m3Sden53OemHiDEZHKez2Y2+JWyUgdzt59HG3e/tplnu38IQNy8l5ObPo+q6OwcvoOm6Amc2fR+3tEYYedtd/Ji9SLyDc1I3cC3wSjkQVEwijnsXA4nHGX/CcfR/sR9RJNFRFin6BrsHHmYyxd/ktGSYEfSps7yqDQUJIG4qqYt4YPLvzJ5TAO5AbYfQorppdEwjOYm2/NNw5KhvGTLyL1I6eH5Di3xi9EVhVMaP8TOZGmq3ReSbz7zl3SlNjNuB+/LsaB3vS2T3M6kTX/eJVd06BrN4Xg+uqbgux62K8mVPRksbcqzUlMCSpSuBBr/NZZClamSMBWKrs++tEtv3iHn+HjlD4ZdkjhesHnVFOjOgZASOTwGukHJimFmxzFLRZL5EpoRJpUqkCnYVDXGaY3q1FoqtSGNSlM5pLeA60tkJErjpz7BYN5FHy8hPYmxy6eoqiiGiW+UbeUmIC4Kc4uGzvaVKHN3c/szHHyygaAUnP8Hf3bFtffd78F+7TUA1Koqmr///Rnn4ufzdJ58yozb5oNvg0MP8uci9DvDQ2QfDo69aKmECh4vPX4H7eWcp1z3Qfxb7wLPQ0QiRE47FXhjm9k3E2vr1/Lexe/l5eGX6cv28erQrRxffx3Lqi9nRaWKpVls39NP1T/ezAnLjmfn9V8iXVmNbxg4fphQahRXMwjlspAcYXRhLWMnX8jCn/0DjX6WfY0pNEXjT5Ycx+kLLub5oSJZx6clonNKnYUqmKMyXch7Fi48ZEU63cnsnKbVPHpwlNFiElCx9BgdsYWc0ngaJT9Cb84J8J0yQCmEjFUUvWePKb3rbZnkakIqhgIirLDNdVlYF2XXeInqygjoweBaVwgMcssJIawpWFogt60QbFx3jdskS95kxWdpIpjJSUjaLhIwFRVVCUjwngQnOY6naMjKKsbUMHVOCek6UCri2i5jyRz7BlKsiGqc3dh6pFMBmMTqGYqgUGY/AJj4+IoaDPtleTxGkOTEXJXGbPexsoCBnxqhd0NdkOAAvaEec9my4AmZ/wffz+fxxkYPey6D3/0e+DNZDPOtouZ8zUN4jOaeDhSeR/7kPJxHnqSxAG3D5efX4KGu3/PeMptCCYWInnMuiauvOmxL/FZEW7yNvzv77yZ/HiuM8clHv8PixGW4NFAf0ujqzpE97120PXwX8me3sOOqG8i0tOObIYoVVVjJEex4ArNUYEUOUuEKXrrha6za+CAXbr2HJ06SeNKlPW4SM1TW9+XYkSyRcXzOaQwT0pQ3XJmurFrF+5esOuLjJtr8JbHzKDgnsTd17Ohdb6skN90PtT9js6StmrNWNaOHdJoMG8cNZmBBpRMkOCkC4UDHB9v2cXyvTKUKTIMrDYWEofDQ1m5e7RknlohRXRWmuTLM0powIVVQKpuL5HJF3JERVE1DUSwSTgYzl0Ev5Ik6Lgz1EArFScQt0DWGCy5xQ3kdAX52lMrT7sAVK7guFEHd+95NKmVTtD2kN7UDCOhjs55kLtHQ330WcsMMvlSBV5w6hmh0Hw2XrphUQn7t3PNwCwWc3l60mtpDHufs9tA64YQZ90+vuEQ0isxm0ZubMTuWATOTqbFsKTtXrjoi++BQHqMTz9P6Z19kdP1LwPjkx9h04T1PFcvoxzK4+G/+hsTVVx22JX6rYjbOTKCwMFOFIU7l5fVbaa60GDvjHMYba2m4/efIO/6NnVddT6ZlIX7IopioxhodphiO4mXSRPq7KNQ18/JZl3PewzbPqU9PtoTVIY1LFsR4pj/PwazDAwezrGsKUznHQuJYxkSbv7TsindC3bGjd72tktyEH+rl5y3nnEQERQh8JaBGlWyXdL5ETA3RFjOIlCs3Sw34mJmSx3ApwNZZpkJjQqOljI3bsH+MPWmbJcuaUIQgnSvh2Q5F12e06E8aH+t2idhQL9U7tlJx4DXi3fswchkcK0K+uo5CbQPPvesmYhETQgYvluENhhrY98V1hbgRmCZbmpgc7pbKpZtgyuxYLXNL/WkSZxrglClmM/LmofTyjAj5IY3xPRYgUXSJ7yiB0XZZCdnP53FHp6qzQzEB5tSAmxZzVVxONjujYpqooiJnn03m0UeOyD6Yk9I1NpVklXic6K8foVSQh/VAACZnc0fCtr1VMR1nphRtPvDjX9N/scnYslWMRS0aTz2Rgc1hZMvTtI72oT7yW7ZfcCWZBYvwQhHyVRBJjeHW1JFRFSr3dZKpr2f7ez/AIr+ZLz75Rb522tdYWLGQsKZwfnOEF4bz7Eza3N+d49ymMM0R/cgH+gbjWAkjzBVvqyQ34YfaXGmRsV36RjIsjBkMFm0e2NpLrujguD6JS5dz/TmLGC169ORcBgsuUgZ+n8sqdBrCGqqA4aLHU315dhcEKxfWBiq9yQKxiAGmwWgpWEjUh1XaozqN2Tz29qcCGaCmKmiqIrfhefRCjsJYilTTEvZ2jTKYKbEkrNC8uBJV13ARpG2f0aKDlAGNSVMgVk56eTdomSdmI1LKSbnqYIVBuXUWFHw5CX4GDquX51/49/TesgUYpPrGoAryu7rg1BvgsiDxDH73e+Aefvt1qJZxehzJ1R2mFguF7dvnxT44kupwaedOhnfunPx5Yv/7whKBpmqcuNsFKRGRCBXvfmMyRcciZuPMev/qmySSBayH7sSxwuTWnkpyZBz/pZfoPucSEsmD1N57NyuSKXZ94BOkFyzGtyIUdJ1wRKPgxkktXkF2dAcH1BQt0TMZK9Tw0Qc+yT3vu5NEKIGmCE6rC1NpaGwcKvBIT47TakMsT5iHxPS9mXgr6V1vqyQ34YcqpeTs7z5O73iRK9Y0cc/LfZP4JkNXSXqwvj9PquSxtWuMzu4xtu8fJZ23+cqly7loTSv7MzYDeZecE6SR2piJI6FaCoq2C7bD2QsrWBLXiUxsQmtb4J9/MOOYJqqTTfUr+GnLJWjFIIn9bmsvd77Yw4kLKrn9+jOAoErLOj5p2590ge/OOoyVgusbBgNgcNGTKEJgez6+70+em6kKpBPcp8ARRUOPlHiOVJ1NxJGeZ74k+vbbbg0cua659oivCYegdD23AVksTpLkQ8s7Jtvg4QrBtsUKP7lEUBVK8ONvj4NtYy5aRONf//UhX+e/IyZwZou7Hbq2BPNeSikWPvo7ulesIJuPIyNRhGPzaqSepZEYDS8/j1QUdl9xHam2Jbi6ScZ10DOjONEa/PAqHO8VetMbaY6fytqmL/FE90bevzQAgAshWJ4wqTQVnujN8dxggXHb57R666gNto8UhxNGeLP0rrdVkpuI6d9EMUvnwhX17BzJE4+HqaqwwAxc4b1Cif98+FV8CbWVYZobKxnXDJ4fzJOyvUAqu4wpKZRcRsfzvLpvmP29Y6xtreQrZ7Yc8VgmqpOUESlrsQWNU94OWrGwMfUWqUJQYahUGCqBhmhQtb0wXGAg71FhKAwVXDw/kF/an3HIuuXqjil3LoUg0R1ONLRU/y6Sv3wBmDvxjP3yl4z+NJAHPBwgeD4JTKutmReJfj4V4fSYD0l++m01F1xCy8fPIVQeeKcWVlPR2U/03HMP/ya+hTG9jQt7GunP/ykqcPdZKpfsjRDvOcCi3r30LF1Grn0hSi6LPTLC/ouvYOl9d9Cw9TmkqrL7PdeQbl+GFDqlllYsRaLLGPUlhaHMNvaM3cfixKUczNfQn3NonNaaNoR1Lm+L8XhvLmDW2D7rmsNHnBXPjsMpDB9KGOFYxNsyyU1EyNRQLZPLVrYgXh0glbPpHkixQJesOKmBlGFx+clttDZU0pUuoakqGAb9+cCExVQFlWGViO/yV/e+QiZvT2Jen983RvtXAtf7G6a5xM+O9ttu5azvPEbveJHPnLuYL1+6/KjOIVAyCba6CVPlYNZBIEmYGi1RjdGiV1YtgYIXzJ5ynqQ767C18mzitQPECn3EC/2YbmZy+G6P+4dNPBMg3YnqbLxsB5i89VbURGJyETAfFZDFDz04LxL9fFraI8Vci4OJ2+qalrByGkXpl58/jh9e8PhRv8axjOlt3Icfcbh0xGWoAh44L8oHDsbwSdE42ovRUMmB8Em4/X04qRS5uma6zr2MhQ/fReMLTyOFYM/lHyLVvgxfCzFWSpJzDhI1GqiPrYEMdI78mmWJr/DAwSxnN4RZlpii6MUMlcvaYjzdl2Nf2uH3BzJc3BolbszfguWtpG4dLt6WSW4g77K6zWKl0Udz9jGan9nOl0dfYfe4xrfda3kw205W0zmjo4HVK5rxpSQjFFRVBSVYAiyt0OmoDFEf1hjJlDi9LUFVxOD2zd0zXms8/3opoImY7ugFwfa3azRHVcQgFpr/kLfkS0JqoJ7rSwnFIoUnnya38UmUG7+MsGIANEU0suMO4bIQZmb5+xlccsXk8xhqILoZMxSssWG04R9i5NKTiW8i8Wj19biDg0BQnY38+Md4Q0OTz5PbtIla/pTc8xvpuenz4PsY7e0YixbOeJ65JJQmYjZU42h14Q4VsxcHt+28jf4vrOVdi75BUY/Mi6L03xkTbVzhtde4eHPwJZBf1MAvRi/BTf8OgOIrr9D48L3k1l3OUEUFoepqbMMkqeuYqSTNL6ynafN6/KpKtsU03PpFhLQEEo+sPVBOdCdiqCan12m8PBaMa8Ztj1PqrMnOR1cE65ojVJpFto4UufdAhnXNYZojxrzO5a2kbh0u3pZJbqjgskbdywWDv6Fu7GVUJ0/WaqBy6cXcWFfFK6FFhAydjBNUQUVPoioK4+kCdarPdavbCWlTpfrErG8wXZxMcoo4PI9xtqMXwO9e6uXOLTPncPOJkiepMBTSto/v+bh9failQGTT93xcP3D3uvOFHpa214Bj09FSwTlNEVxfBjM+xyNj+6Qdn9GMg9Qq4aavoyqUE59K+kt/gfHqNqpWrAgEH217zoF+YdOmKV/UcvsdOeus17WHh8Oaza64jlYXbrrx9OEgJkcaeM/3ed6qmGjjMo89Rq/+BaRt0751AHvrLyYfU9y2jeL27Zz4wQ+ywZMU33E2AkjbPsXLLmP8O1+n8smHOb4mRusZp7BpME9ProCl1QCSbGmAqNlIVXgV9x/czTVLT2TjUIGXR0ukHZ/zmiKBMQ9B57C21qLKVHiqv8BDB3Oc3uBzXCJ0xHN5K6lbh4u3XZIbSheJShdl11Mo4TF+dcK/YrWfQMH1IDuIbqdpUlKEKloCdV2gztJ4atNeXt47wmfOXTwjwU1/3qLjTSa3iUvbnRucIAgcvXL2lPXeXHO4I4WUgXmOoQiKnqQ0OISwbYTnlmk5AefW96f4hJ7rT1ZnmlLmwIam2g5fSjKOHyS9cgLszTmMn3Uh7rI1WEuXYJ68jnA6SWiwF3XDM4TGRlDdoGo1li45rP7afLBmsyuuo9GFm208fTiBy8MNvGuIsmeez/NWx3zO31AFa2tDPD9YQBNQYQjGSj65My9E3d1JTSLB8koDKaE0UCJZEkSMukC8wO4jbjRR9EJsGS3w/7V33lFunNfdfmYGHdsbl9xlL8MmSqJEdVGUSJHqXU4s2ZGduMSxVWJ/duzEsi0ljmM7lmzZcUksO7Ysxerd6oVUYZPYRJEcdnK5vS86BjPz/TEAFrsEsMAuwDrPOXvOoszMiwHmzn3vve/vnj/ezeauCPsGVPyqjxWNXtwpSwmnlDkpc0i82hTg/bYQvWGN8+o9I2Zes2nLFYuTysglvKc5U2uZuPAbbHM7sEsS4TYVt01gdqwH1VWBHm8QUueWWFDtZFaFk1895R9xv267lPTeErbtpa2t3H313MO2sUki2//1ssOez5fUQmB/ewcxnw9bNIJNEjFsdgRRRIwvtnYmpHTiS7syIQ5JcMQ3MQyCt17NQFSjP24A+0NR2l54Eb1mMoLdjrOzDXd3B1VTGul+9SXcThcOp+Ow5MBoas1ymdKmel25ki3g3frd741ZKDPBWD3CXAUJSu0Sp1a72NAZptxh/h67zrmQ3iVLmDveiyAIbGx7kv6Qm3Ln2fSrdjz2OnRDZyDaQp1nOvt95s3qvHEeyhwiH/VEePaAn0sbvUNUSqpcNq6bWsJrhwJs643SF9W5tNGLY4SERDE7c6XjpDJyCe+pssKLTZLoGwgjCgJlpU7KHDoabjzBdoJ2GxPr6zi9xkV96chS6em8sgT2PDNQ+ZKUX1dV/B98iFE/GVddLfbW/cScThDMomGPTcCRvBMb6Zd1ZUEQBLx2U1JqfPy51h/8lI4nnkadM5/w5On0DwTw1zfS56zEuPwTuObOBWU7zn278NdNQgjGKHeIOCWhILVWqR7hcO8NxiZwmWt5TC7k41nmQyaPuM5tQ65woPRFqffY0YGOsMb6jiDN/S/yPx/9hp5wDzMqL2N61TVUumdQ4hgHUYMal5NADPYPqBgEubDeS6lDZG17iBcP+FkywcOk0sEYnMsmceVkc4WE0hfl6X0+LptUMuQGmUqxO3OlPU9F2esxSsJ7WtceZPdAFL9qTts+2nmQMzv+gubw4tftPNNSRctbqzl9UgUP/PXpIyYHUr2yRKa0xCnhj2hcccr4TMMpCInVDr1PPEEs5gKHA/fERmzr3kF3OjFSgsY2SUyatrHamMju3fT96WEcmkZ1ZQmuxiq6//d59P5+Yk434anTqfq7T7J39Up85dU0jZtMd1c4PhYoc0iUOkTK4/E+ry1/w5fqER78+y8N8bpc8+ej+XyjMk75lqqMRCGk09ORzSOeUmrHr+o0B2JMLXUQ7mhB2XSQ8et3cXFfD09dILC79xV0YGbVtVS6p1PmakDVBSqcIr0RzTR0RoDF471c2ijxVnOAN5oDnFmnMb/Slfy+REFg8QQv1S6JNe0hntnnY2mDh8aS9AmJYnbmSsdJZeQSdIY1dAPmVTqp17qYFH4JzVlKWe9O/m3feTTHTHFHl13KOTkwPFOqJ5RIMsTkCkVEM9AG+vG9+RbaJdcguFzoB/Yj9fUQdbjQNQ0MI748Ld7da5TCjqlkSwTYIiFKdmyl/NE/MOm1Z9D7+7Hv2YhN+yuE5ZcxENXxqToHfWpyei8lVnDYJcocZoa31J5ZeSUV//vvE3j77SHPuebPJ7B69ag+WyFKVRIU0iPMB0EQmFflJBDTOdAXouZXP2Fg0RJaF11I3cEYDukFVF2lN7gOV80Cql0zGYgKDKgAGlVOiZ6IFp+6BrhogpcrJ5tT03XtYQaiOmfXeZIJCYB5VS4qnBJvHArwSlOAs+t05lcPJiSKuXQrGyelkbu4wYOAwO7WNnZteg0PUea2Pk3NLb/jvfgCYYCYpnPK914dMTmQGpOLJWrSzGarPL+lhb85b3LeZSG5EtEMNJ8fw+5Ac7kx/H7UvQpiXy9a3QRTkcQw8NhFxOTU2Riz2lnaQPi772FEo8nHnT8bjCGpGzegbt7EnBuvST6np67gUHV8UY3moMrBePhTEMyeGuaaXXMJW6ldHHJh6eEwh76cogEXJ7xt26hKTApVqpIYWyE9wnwRBYHTa1y8/vgq2ifNZOorT7H7mlswTr+JP5/5LWaUm6EYwzDY1BVmQ1eY7rCGTwVR0KlySPRETUNntPi5eEIJV04q4c2WANt7ogRUI6lSkqDBa+f6qaW8dNDP6vYQPRGNC+rdiKJ4RDpzpeOkM3KGYdAb0dnR3kPs4xeY1vwq03vWIP31w0OWNGF35ZwcSBeTSzhLXf4Iy+9flXdZSK5ENANXRTnSGWci1NQiuVzYxo/DviVmCnLa7CCYXcQkUcQwDDDMvgRjIV0gfNfSZcSam7E1NGCrqyW8aXNyYXs6GSZREEzBgeEJjpjBgKrFl6/pdIY1mgODxtRjFyi3m9Pd0H3/aaouDxtfolg58X+u0kz5lqpko5Ae4WjRNm9i/AP/zq6rb6HvlIXMfOaP7L7926xuD+GxiUzw2hEEgVNrXBgYfNgZpjei0x81wKEPenQDKm8Zfi5uKGHFxBLeaQ2y36fycpOfJRO8VDgHv8NSh8T100p5/VAApS9KX1RjRWNJUZduZeOkM3JgFgN7973GvI9/QqnaA6JtyJImFnwiKSOUCwljmPD8QuqgsdMNiMT0vMpC8iGi67grSvF+6m9w9kQQdIOS6ZNwrnwZze4Amw0EAUPTEONKw5GYRm8wii9sL6h3aR83jlhzM+VXXUXfE48PkTzPVX9tSILDYz6XaFw9kLJutzeq0dTcgc87Hj71ZVwiOJr24+lowd3dgScSxN7dCaqal8BloVoYFtIjHC0JT9Ld08mCGjcfxSoJdLazYOeHbJ04ibdbAlw5qYRypw1REDitxo1hwAedYfqjpqEz0Kl2SXSHzWWCRrOfpY0lXNzgZV1HiO29EV5p8nNhvZsJKTE4uyiyotHLuo4wH/VEeGqfj8smncWjVz1a1M+cjqNu5GRZvgh4HPhbRVFeSPP6rcBdmE2mfqMoyu/GcjxBEFhQ7cIW2oAQbjOf1KJD32T3Hr5hDhSqLCQfIpqBUxIJawYaRrIhitPtRHM4MOLe230vbWfRqZMwDIOdbQNsORRVBLQAACAASURBVNjLHyLhnLzLXMsfEoHwdKUXiQxgqqZf6Y4t3Pvub7AZetb9CoKAyybgsonUpTRf2PeDf6bz4x2EqscRqq4jVF2H7/Rzk5NxKRrB3d1B7dxZeD55M35VHzHBkW/viEwU0iMcLame5PTbPkn3175N07TZ1EgS545z825rkFeaAlw9uQS3XTKnt7VuDGB9RwifauCLmm3Jq12iaegGVN44FGBZYwnn1Lnx2gQ2dUV4syXIojqdWeWDKiWiKHJOvYdKl8R7bUGe3efj4gYvk0tzWyFRKI6qkZNleTrwVeDdDK97ge8AZwFRYKMsy88oijKmVJVdFOCq+8y/45yIZlDhFPGrpiKwIy7PPume79HSHoS+KIZu0OOPIAhm4iEa01F1nfI03mWqQdu09GYemng+d//ftynXNFOvboTyh3SB9spbb00asISmnyMW4ffrHkKKq+/mW1YR2b2b8BuvU6rrVKghJH8X0XdfQTcgVF1LZPJ0QtXjCDg9tE+YSl+32TNCFBISVXFtvnhHNimL4RuNUGahPMLRks6TrFm3Cr+qsfesCzn9rdc5c/ElrOsI88qhAFdNKsEmiUlDpxnm1NWfMHSGTrVTpCeis28gymuH/FzaWMKCaje23bt4b3cbb9ldtIhhFt9wKVJKPESucOLc8TGv7u/jBcXLgmg3F9x0eVEkm9JxtD25VuAG4MEMr58NrFcUpR9AluV3gPOB54/M8I5tEtM4u2BOiXUd7Dbzh+OUhKT6iCgKvHLnBTyyewDDgLuWzcQhiZxVN7Qn1fB6roP7Wrhkz5+piGQuhB6yfQ6B9oSm302rHs55v+mIHjiAEG+9qHV2onWa2uUi4O1oxdvRypwdplacbhgEVH3IdPfgnkP0rVoFuoF73jxqFy4YNH7xDG8iwVGs4uViksmTnPjOK+wuq2RDVR2XXWEnFDPY0h3h9eYAyxu9iKJp8M+s8ySnrsGYgT+WmLomPLoorx70cWmtDdtXv8T80mp23PhZds2cjdAa5Jxx7mRCQg8GiX7tdhapBps//3W2yvOINptCnDaxuHWkcJSNnKIoQQBZljO9pR7oTHncBhS38KyApE7N9ncHienGiKok+RCLNwARBHMur2OQiOHbRcFso4iZGDEw43GJ/g7p7qHD67lm2yPMUj7AAPx2N6VqKOt4cgm0jytz8dP5Igf+/eWc95uObJ5Sgs5f/BeeM88cMtWe85UvoweD7LrrNkJRnVB1HWK5E2nRqXSFNVpSExw2IZnRNT2/kaXos3EkpdMznR8xFGLW1rXs+cxX2NgV4ZxxLkIxg139Ud5pC3FRvFetJAgsqvOgARs6w4Q0MyEkoFPjEukK6+z3qzy3bTvzVJ2K/bs45aGfs/f//St7ffWEYjrn1nuocErJ35ULOPOn32HXvz7A3ppafFE/yyd6D+s8V2iOmJGTZflzwOeGPf1dRVFeybLZ8GvRvF6PExJTMwNwSCIx3ciqSpIvQ2TPdTPO7xDMi9AhCclyFhHia1hNxWBBMA6bKqSbZsoHP8YAXliwgoV7PsxqjHINtKd6e7nsNx2ZYoS7Ll1OrGlQBSbW2ZF2pUH7D3+E3t2DE3D6+qhs3099renVhrWha3b7oxptwUFDIba3oj78R9ydbYxfdjGTP/3XuHNcwXEkpdOzeZKV557N4uuWsaY9xKbuCOfXuwhpOjv7onhtImfGPXwprg6s6QabuiJEdINAzEBPGDp/hJaqeqKf+wZn/PmXeFsOsWj7avacfipNAZW3WwKc2nuQcMrvioEBzvn4PZrOP4ctPWGe3u9jeWMJte7imaIjZuQURfkt8Ns8N2sGUnWnG4A1BRtUkUlMzeY3lPP79/YRKXBhcEQz92cwKLZpF82mWhKJdohxTy8xdRUOX9SVaZqZiB+9cOrlLNzzYdaxjBho37KFtu99D9eppya9vVz2O5xsS6RSvTiAvkcfG/I4tGXLiMW5LknE5RapTZnJq7qBL6rT5wuy+88PEfWW4JtwNn2VjRxoCQ6Rok/04iixi0cs5pQrqZ5kmUNiQbWLTV1htvepXNrg4fmDATZ1h3HbBOZVmUW8NlHgvHovmgFbusNEdQjHDDA0PDs/Rhs3ke7Tz2GD18upP/0OldEwiyd4WdcRZE9fhJXbDjFp4XnMO2sBvvjvSgDOGuem0iXyXmuQFw/4uKDew4yKkZdQjupzF2WvhWMt8FtZliuAGGY87q6x7LDYU8hUEhJMAI+uP0hvnl7cSGONJldXQFQ3jZkt3idWQ0iKZZq9MxMNbuKSOSnHGT7N7H/uueRrrrlzuWzr65RGzc7zmcofsk4fRTEpuRTevHnIfivC5uqS3ocfJtrczKRf/yrrOcm0RCq4YQNaV5f5IKUpdCp6KDSq4lx7XKkl8oOfMPHFx819SRKOz34e17JzGYiaNX1N/sEVHIkER6ljsPlQqSN7gqPYDPck6z02ZpQ72N0fpcQucvnEEp7d72NNewiXTWR6mZkFtYkCF473oumwtSdMzIBQMIxaUUtZ+yEC1QvonD6HjX//L1R07sAhCZxb7yH2xmvswsO+az9FxeIzKXn11SHHn1nupMwu8Uazn5WtQXqiOmfWugourX60s6tXAl8HZgNnyLJ8h6Ioy2VZ/iawUlGU1fH/X8F0RO5JJCFGS7GnkIVkpLEmpqsx3ZyOCvEm1pJoGjg1fqHbRHPqamAun0rE5iDDNLO/L3kM32uvcV3KmMJbttD20UeHGbls06MhfVTjBm/4foHDlmYNJ5MXluqJOufOJbJtW9rtY11d6H19oyrOHX5sBgYoDfmoL7GTKkUfiBlJozeg6rQFYxzym4ZfEMBrE5NrdhPrd+1jrcweA9PL7ATUwanq5ZNKeG6/j1UtAZyiQGNJfH22KHBRgxfVMNjRHSIW01C9JQQ9Hiq62+gWnHTPOZW3y8twPfYkVQtPpe4H3yZ25oW03Pg3bN55iKqzljG17ZEhN8pxHhvXTinl1aYAm7vC9IZjLGnwjin2OZyjnXh4EXgxzfP/kfL/E8AThTpmY6Wbi2bV0uWP8HGLeZH8auUeKjz2onhzY2Gk6W443nkrppuy5mI8qeCIG7XE223CYH8HuyCgYxBvZTNiRyuALQ3zWND8cfKxY7p5nkaqnxOcg9OPhFGyNzTA1GloukH7xq3UBga9Mtv0zOc/W+Y24YlKNTXpDVzcs9PjMcJ8i3NzXZ4lCAIldoESu0g8fo9hmKKr/VEdX3wVR09YozUlweG2CUOyuqUOEVeR1WtSxzy/2kkwprOlJ8zZdW6WN3p5uSnAWy0BVjR68W7ZkPyeT7vjTkKnX8xe3ewLEkWgVzUoad2Nf+JUOhum8cKuINcdbEKUJBrWvo3D18++S6+nbfZpROxOpr/0OOF7702eb69d4qoppaxsCbDfp3LIrzK9vHBT12N9ulpwxpW5+MolM7n51+8PUe49Fr25kaa7Uc3AKQmE416aTRTQDCNu5CCWWFIVfwxmK0OMwelqtmmmOGECwlnn0v1x25Dprf3MRSPKB+nhMHq/6XSnGgbPhRdyQWghp/Uf4PuBVcnsL8B7pZPJtEw7U+ZW6+9P/q/7fIdtJ5SWYgQCQ6av+RbnjmV5liAIZv9em0h9yuUW0fTksjWfapa1tAcHV8qkStEnDKAnXshcaLViKb7GdXV7iA1dYc4d5+bC8R5WtQR5s8nHzB/9BE/8exa6u1jR4OHZD/bSOn4qgiGilZQRnDCJsqa9+CbPoG/OabzsFDh3+QqcQT8lQHnLdrbGptM7fQ47P/0PzA91DhmDXRRY2uBlv09lSmlh13ifdEYOBj2k1Xu78YWLJ7tcbCJxReBgTEfTDVw2EdUwLxA10UkMc4lNVNOT014DkpYl2zQz1tKC+MyTXAJDjNGbO9pZMYJ8UDbDUCpo3PX+HwHodJVTFzaN4dmb3qTzF/912EU7UuY2gRGJHDYOI43hK7nkYiC34tzhx2793vfMKTgw8NprOGfOHNXKBackUpshwXGYFH2qUgsawYefwjltDu7udtTevvQHyBOXTWRhrYu17SE2doU5q87NGbUuVm/ew9bln2BeVzfejhYAvJMmcmNDA8/u89EcUJEEiGkxAhMmUREN4K+upl0zWPOFb3HDtDI8NomJgPHJT6MsOJ/AovPZO30Frv4IM8ocyQSNIAhMLSv8aogj4xMfYyQ8pDJX8W18x0CYA92Bw/TofOGxe44RzcAugqqb01GXJKDp5qoHVY+3ItQNtjb38a2ntxKJaRzoCgwxWOmwxeu4Ut/zf7OW0uytAaAiODA0PjV8XFmMUmTrVp5reZracD/2hgYuePtlM04XJ93Kh8SUGkwvrPNnDyS9RPXAgaFCmeXlQzdOLTa123GfeQYTf/lLJv7yl9jqzEXhJUuWZOyrOvzY/U89PTjWjg7a7r037XajIZHgmFLq4JRqF+fXe7i00cu59W7mVzlp8NjxvfU2nROmcnDxZSjX38a6+efzfluQj7rDHPBF6YtoaNmai2Sh3CFxSrWTvojOxz0RphzYxrgXHidYO54dn/wiwZpxyfc6JZFrppQyzm1DN0AyDLOva2kVVU6zUVJbUOOJPQME4mu5KwQd+ek/MD7YSzBm8FF3hM3dkVGPN1dOSk/uSFHIZjXpiGg6Hpu5NlXTDVzxALZdMguBzbbXBr5QFIfdfC2mahgGRPfsYfviv0o75XHKMqFNmwYFNr1e7n3iPvZcfQ1qoIvZTWb9XKb41EjlJAlcc+dy8HOfH5KYCO/addjnHGmJlGPqVILr1mFEo0njlyQ16aGqhDZsTD7MpTg39djhHQqxlpbka4LXS/nVV2XcNhdGmnqmStEHN2xA+P43aRAE1IZJBBxuxIqbkESBjlCM5sDgdl67kMzqljlESu0SDmnkBMd4jx1/uc7unhD9v/4D095/C9viJTQ1TGHntZ+m0hg8vy6byPXTSnl8j49uKnFJENNMlZ/K+BKw9pDGE3sHuGlaWTK7O1cz2NAZ4mBAZVdfhICqcUatO23vlEJgGbkiUqhmNenQDQNVN4+SyJw6bQIRzfTk+iKDx5xWU4JvIBzfUEdXVfoeeRhvmnhaahYxga2qaog3ZoRCiBUVGeNT2YySVFVl7ieeYR1OaN26w54bPqUOrFmL/823AJCqqqj/7nfo+NGPMbQYeihEcP0HEItnNF0ujLD52cXSUsquvCK5n1yKcxPHDm7YwIFbbjWfjCcyHA0NGT3AXMhHFj01+VHzxS8y8NJLOPbuoLJtH/V17mSCI1HEPBDV6U2T4Bhez5dOin5GmYOW5/7CoZmn4Ar6uHjFuTz/u6fonTSdj2w641Qdb7xfiNsmccO0Uh7fM0B/VMdlE4jEDV21U6Q3otMR0nh8zwA3Ty/HaxdxSAKLxrlxdgtmoiEQI6IFOaPOnVE2fSyclEZuuIovmNNIX1gtqPRQIVRJMvVm9aSMU9VJNrtOxOkG4lMEmygijythV0s8dmMYBNatx+U7fN1o6oVUetkKfC+bi1HUpqYhApgAel9fxgxltjif94ILMEIh9GiE4Jo1GJGoKQcVN0qOmTOyno+kYUgh2/EqbrwR/7vvoh44QPk114xqzejw7GrP73+PEYkMyR5D/s1q8pFFHyn5kZrgGDcswZGI7yUMYEdo8AaYkKJPGL0yh4S0fy81P76H3is+QdNlN1L78CPMePFpti+7kc7ps1i1ciNLlpyOO+55ldglbphayhN7ffhUHY8kEtJ0eqI6VU4R4pqAj+3p5+Zp5ZTE6wVn7t5Cz6//SOvC82iev4CoPoVTa1yM9xQ28XDSxeQSU8grfvYO/SlxsUc/aOLzf/zgKI7scNKN9ZlNzSy/fxVfe9wsqtWBqK4jCOCMT1cdkhCXyDGdDlEQsMd/kO7udiI7dyIY+mHxtCEX0h13ILjNqLitoYGSSy5GcAwNCqfGxsJbtmSNT9mqq82xTZpE488fwDFlCkYkir2hAduECcn3ec86O+s5GW4Y3AsWZD2eVFk55P8EgTVr2T5vPttnz6HzF9m1A4cbGFt9/WHHzrdZzWF1d1nIZclcJpySSI3bxrQyB6fVuFg83suyRi9nj3Mzp9JBndtGVDfY71PZ3B3hndYgb3Sp7L3iEzj7e/D3DrC6M4LU2sLU15/GeWAvLc0drOsIEU4paSp3mvVuXkkgpBl4bSKabtAT0Sl3iHgkga6wxmN7+vCpGnowSMvXvsqENW8y6e0Xcfv66I/qbOgM0xEqbDLwpPPkMnXW0nRThazQ3txYyDrddZkGR9eN+DItAXs85uIQBQLxH6AomHcyySaBAVNXvUi4rp7SpcuQmncn42nDL6TOF14ihIQL2BqUeLW7is+XVuDu7sDW0IBLngUcnqHM5M2kTg2HHyu0dbCJSbaatXz6JaQeb7hHlY9BynVNbj5eWb6y6GPVptvbt5d719zLzp6d+FU/HruH0+tO5xuLvsEp1VPNMaVI0fdEy2mdOpWgZwE2l4feqgWsmTGHuo1r8OgxYuPH0RKIsbYjyDnjPMnC3Rq3jaumlPLsfh9BzaDUbkqA9UV0KuIeXXdE57Hd/Vz0zIPJ81W7bSM1+7bStPA0wjEDdw6xw3w46YycTRLZ8r3lyN9+KZkQCKs6HofEhoN9fP6PHxRUpnwsNU3ZprtNfpWPeyJoxmDTnERbVbsIQTNgh4Rp6CRJRDJ0PN3tRKfNpHz5pfDHXyf3N/xCMl57jcRkTO49yKzeJnqnyri7O6i4/vpBfbgU+aC6r32V3ZdeOqLxGH6sVDJdtIXsl5CPQcrFwDhnzcyrWU2+dXdj1abb3LmZD9s/xC7acUgOVE3l3eZ32dK5hReuf4FKV+UQKfrGGRNYMOOTSSn6vQMR1r/egX98I+Xjx+GYOo3+qClecCgQY3aFk0qnOeWtdtm4YlIJLx70E4gZlNlFBlSdvqhOhUNEwKAnFOPluRdxbtULlMTC6AMDVPm6mVDnYUt3OHvqfxScdEYOipsQSKVY/TbBLB9RO9ppfe4Z/LNPQ2psRK+fjCMeSA4mPbl431UjhqRr2AM+xOpq/G++QVmKRyJVVw+5kCIxncDqNTjUCJ3eKtbVyuh3fIN/unz2kHGkZihzNR6juWgL1S8h3+5ZqWON9fYR3jiYnbU3NOA595y8jO9oZNHHqk23cNxCbj/tdhaNX0S9p55dfbu46627iGpR3m1+l6unX512u4QU/SnVbvo/XkNTaR0TQ33MmlLK6vYQbcEYMR2UvggVDim55tQlCUwttbOzL0q/alDhEOmPmB5dmQ3Unk4C4xpY+6MHOe8X9+DcZIaJKpwSF473FFzY4OQycn0HYeUPse16je22TvCUwJQLYcX3oWpqwQ9XrH6bAKFQmMjKt9FdHgy7HUcoQFQ3kt5cQqEEDHwRFUe8oMQWCRE9dIiBjz6gJCWeFt66lTnbPh5yjMSF9NHE+fzX7Gv4UppxJKaFqdnHkYyHY+JEKm+9dYiHG9mzN+NFW6h+CaPxBhMGRg8GTS81hZIlS8AmpTW+alsb2+fNP8yDL5Qsej7adJPLJvOFU7+QfOyyuRAFEQODmJ5b/Ov8e77Jpu4w7UGNxpjBheM9rGkP4Yua8eAKh8iMcrMFopnkgBqXRGsoRlfEwCkKRHWDrv4QzoEBXIJIoKqWd/7265z9/a+S+BTFUG45uYzcuz+FjX8C0Q42J8TCoPwFDrwLd24Gd+HEDIvdb7PrpVcR+nrRyirR7A6caoRoPLMKxMtLoKU3xKbdfsaVOXEhsr10AgFvNdFxU2hwf5DVe0pcSH5XSdax5Gs89GCQQ3fckfRw/StXZr1oC2UYxuINprthGYZBXwbj61/5dloPvlCy6Plq0xmGwbXPXEtPuIf+qHlzK3OUsXTy0py2FwSBU6pcBGMhNnWHOXech4W1Lta0h9B0g35V56BfZWGKiohap7OmPciGLlO5xG3E8Os6wfoGbIaGEIsSqKzl3e/+gtNWvUD0iWdpuPGagiu1nFzZVXclOEvhul/CF9+B634NNgeoYdj054IdZvhFX2gl2OCGDQxs34GoaQgOB7rDgSsSIqobOCQBTdNINAzTdJ2YrqPbbURFifvnXMeH9bNZf/41I1b8T3nkYebs2M7zp11x2GupDDceI9H2/X8fYgSNSCR5rHQxy4RhKLnk4uRfIvNrb2ig4hM3j3jMsWQo02VCK2+9lZLzz8u4EoOYlnZfCc8wseoil5UX+WSCs3Fg4ADBWBC7mFAWsSHmYQJsosAZNS4kQeDDzhBOUeS0ahfERSE6wzE2d4fNtpeAXRK5YLyXRbUuBDT6At1U7NiMPeDDUFXsHW3Yg0GipRV8eOlNvNUZ5fVDAUIF1l08uYzc0rvhW4fMloM1M+GUG8FTDVoEBppG3j5H8r3o80EPh2m+805ibi+ecRq6qGMIIu7mzUQD/fEauUHZ8/njy7jlrMlMrvZS4rSz9luXcMtZk7lz6ay0pRX5kq/xCG7YQP+TT+Z1jNEYhuFkWxqWrfwl2w0rrfFNrZ2z55alz/Y9DI/rdv3iF0MMXa4GUBAEnr3uWf5w2R+4+5y7cUku+iP9/Gn7n3IaYwKXTWRhjYuIZrCxK0S1S2J2pQNVNxuBtwc1tvREkoZOEATOrvfiEpqIiAJ9EydidCpoWpiI14mr4xDurjZ0m4O+BYuocAq4rOzq2EmIUQZ3vccPg53oOHl3YArLC7DvYvfb7Lj/ftTOLvQyD96abtpDbgRdx925i8C257Cf8wl6IiVJjfjEUh7NSNTMmc8LDJ3yjFZMNJ+ppB4Oc+grh3e7jyXELvMg334Jo50mZpviDk8I6OEwyhmmaoxr3jw0vz+5mD8b2aae6abJiemvb+UqDn3xi4c9n/E45VMAOKX2FF7Y+wLr2taxtWtr1m0ylZ/83SnfpCtSzfbeCHMqHARUnSZ/jCqXSGsghiTAvEqzPaEkCCybWMOz+5oRPNNwjm/AY/hoCgSwVdXg7ulBKikhXFrBBx1hJnkdjPcWsCi/YHs6jtjd4Wf1+g941nEvDmLsNBrY5D2/IEaumP02EwZUczgRvCJBYQGqswzB0BFafUR6wbHvTbqmDk4vHaKAgWEKZUIyPT887JFOoLO5N5RWXKDK60jWEuZqPAJr1nLws58dlDxyOSFsqoYYev7Tk3xjUqPJUGa7YflXr2b73HmgD/aM7bj//qTH5V28mIG//GXI/vItJ0q3xC6BGde8PafP/sj2R2gNtHLltCvx2r3s7NnJR10fIQkSMysziVuZZC4/uYWfL32eJr/pwc2pdBKIGfRGNOrcEof8MSRBYHaFqTIyvWIy/3DKRN5s9rN3QEUSy+kJbaRSm06kogqPoSHZBAIxg4P+qGXkxsoksZPn3N+jVA/RTRm3Rb7JDUJh1swVs99mwoDGPCWoPhF/036MmfNNHaS2EMEOO87GZgaiOjqmPXNIArpBUlRT5HD5c0gv0PnQmgM8ueFQVnGBXIyHHgxy6M47h0qShwdlkYxw+Ih0lB/OSN5gthuWundv8n+tt3eIQSy99FJEh32IB9/zx4fo+s2vcy4nSp0mD0dta0NZeEbOn/PZPc+yrXsbD29/GFEQ0Q2dmB7Da/fyydmfzLpttvKTQwPv0Vi+jB19Ubx2Ma5JF6QnHKPeY+OAz5RhmhXv3eCUBB7c/GXGlV5NtWc+pc6J7GU38+suRjXMaarbZmZpC8nJZ+T6mqj985WgD4Cnir+P/Rvt4fKRt8uRYvbbTBhQraQce8MEbDWVGA4HGAYuBnCWa9jHzcEfD9wKQqI1IeixGPR0s+vWpYR++Bs4//Qh+04n0CmJwqhqCYcbj/Yf/uhwdZAUjHCYtnvuOeJGbiRvMJe2hwlG8uBT1VdyITFNTsjFp2bo/atWDb4xpX9GJu48/U5+tvFn7Onbg6qrlDvKOWf8Ody+8HbqPHVZt81WfqIZMRZUmxnWTV1mxvWMGjdr2oMMRDXGe2zsHVCxiQLT4jpxu3u30BHqYX7tbdR451HmmkydE7qjAmHNwCMJBZdeOrmM3EAL/HYpBDrB7oKbfo/+aCsT6ELSG4t22EL120wYUDGgUtIdMWvi1m3CFgnhngCeSW4cMy4m2BRIemoOUSQaiaKHwkjxi9WIRA6brqbj8xdOO6z4NxdSjUe2KdcQ0jSeOdqku2HtvGgJWtzIpRqerMortbWDza9zKCdK9QrRdcTS0qF9ONUULUK3GwIBsnFew3mc13Be1vdkI1v5iU0UTHHN9hAfdoY4Z5yH02vcrO8M4dJ06j0SO/uiiAJMKXXw7HXP4ov62NrdynutO6n0zGKPr4d5lfW0BmOEdYOuiEZdARfpn1xG7vV7TAMnmfr0/N9f87CqITo1duy/HMgv05Qrhe63GdHMHqpqyI8u6tgHfGjlFUSnLuMHL++AygrcLjuCKLD5YA8Tug5i1ExEVFWMuIjkkWidkjrlqrjlFvoee8xUG5EkSi68EH+icY3NRsVNNxbkmIWWBk9FD4fReswkgPvMM4l1diYNVjYPXvebii+5FiBHDxwwPbT41DadrHuSFINXiMRWJg4MHEASJeyiHVVXh5SfuG3mVHVdh1lDd2ati3mVTrb2RJjotTHOI7GjN4pNEIYkP95t+Ve6g+CU5tMZ1pjgtZkxPVdh5ZZOrhIShxcMHbQoqEFQg7iJ4BRiqKJ75O2PESK6AdEAxo4XsVWI1Nb14r3rJ/RrDh5bdxCEeGLBALG1mfChQxiCgKRryYyDcATMXGpmsvLmm5JySmgaeiiYfJ9gt+OaPWfMxyvmMjowPw+qir2hgcm/e3DE9ydKQxLx2FzLiZyzZuGaO/fw7FA6otHkvyMpwYyWXMpPKp0S8yqd9IQ1dvRFaSyxM6XMTlMgRoVD5ED/Jh5R1rG6dTdNvibeOPAG61ufZ3/fK9hFHyHNoDOsM95jx2WzjNzoueo+1GqRlwAAFyVJREFU+F7/kL/zXU8xJfwIb0z52tEeXc5E/L1I256GWJiY5MQz+UyihkS5GGbF7GrKPWb8w8BgyvuvotvsCHYbkqGDEPfkimzjhmcmu/77v4e8Hlw7KI5phEIFuTiLuYxuNMXE4++9B+K1efkUIDsmTqThP39M6bJlyfq7xH5GIpfC6NEwpXwKp9SewvUzr2dB7QI0Qzus/CRh2A76VA76VeRyB3VuCaVP5f3mp2ja/jr7/vQ2zTf9A+//212EY2F6Q5u5cHwjNU6JUEynNRhLCk4UipNruprCng4f97++i7Z+M8v3q5V7MDD48sUzcpZaOpKNqlOJ7HgFUfUTcVRiIOLd8hDRaC8V7gl8t1rnMceX6Qur2GMqzoEejJJSBJsdSY1ipGkunSBVoHNB526u+to/sf0fNcr+/ks03HVHXmPMpjSSQHC7C5J1huIvoxtNadBYyolSp7+R3buTSshgKhzroZDpGac00nbMnDEmpeJ05Ft+IpebNXPbeyN4bQILql2s7QixtPELTLn/K/QuuIj9l1xNedtfuGzKLK6dcS3/vfmfiBrTqHKfRrmrkQ9aV3HHadcwtbww68lPSiOnajrL7lvF8PvFf6/ay6amvpyllgrRqHo0MaSIvQzBaCUquhAMjZLAIcKOCugJsPW5LqJ/143d5cGmqUhRFcoqMGIxxKAfQxSJ9fTge/0NuG5Qxim1H4VNDfPN9X9C0M1p32trFD6T16caGojX+voJbdgw5HXHjBkYqlqQrHMhZZgy0VHvYsdsL8Gwga7FWLDfwKaZNwvR66UsTa+HQpUTRQ8cQHA4MOJT0yExuhSvp2zF2FSo0/HsnmcRNmxl+Z9/i1+H9y+0Eb5AyFh+IggCp8YzrhuTGVcXPasO0nnOlUx76TEOLL2GSYvv4lNnX8j6F+/na3evQRQ+4JkvixyQ+9ja8TKfanksKQM1Vo76dFWW5YtkWe6QZTltRxBZlltlWX475W/ME3ZTaunwj64b+UktJWrL/nHZLDyj0KYfbQwpOv1SOPcrxGZfjVAzg9JP/A+Ri+8lcKCEcFVdvEOVgaBpCIaG6vdhxGJIfh8IAlp3Nz3DYkqp8lOf3vgslVF/0tuzifn/TBKeSMN996E2NwNDO2l5zz47GbPSAoERlyZlW76UaRld78MPs332HJq/+a0xr/3c4ujg7it9/OfNNvrKJezaoDcsTBiX1oMqxHI0yL52N6HWXOgkS4I7Z/89X3tOQIpXqVRFbFw25TIeu/qxjOUnNlFgYa0LAdjQFSKyZTMTHvgBMbeHQ8uvZ+qrT+GMhvmg1UfN795B0kHUYtzUGWbppNMwjEhSBqoQHFVPTpbl6cBXgbSfRpZlAWhRFGVJIY9rk0R2/Nvlycfn/8cbNPeF+dJF0/MqmRip+fNIjCaGlGhgYxPN/wXM7ut976/B3tVJYMLkeMDNrI/ra5wGlVUgStijEQxBQPR6KY33Hk2QEOgMbtjAgWfWAIPTvmVzxqUZSW6kGiBbXS2hjZuSr0155OFBCaMshj7bzSBbrCyB76WXxpyMSBTFntVVhnPDPRiALoBkgJ/cv/fRlBNl7WFx881j8oJHYupDK+nzD9ZK3jjzRuovGvl4HpvI6TVu1rX6eP/p15jc3c4pNR4+qqikddFi5u7dwlYD9py3ghm9vbh7OikXnSyf2MiP15peeK4yUCNxtD25VuAGINPcwospbnvCkY/GfyqR+BIr3TAXOogCsO0j/PsPYAuHiNbVm8WhAvTb3OxeeiPSpMmIDrspwySI2CdMoPYLnz9s34VWTxlugEoWL056c4nAey6GPtt7si28T5Cu6XS+TC6bzOfkv8F7r6mmXPK5z9BZYfpyoVkNOe8nm9pKPhRCXGEkRvsbTVDlkhj/8lP0lVXTfvkNzPmbv2LCtg/pnT6XVslF439+F1GNsvfaTxGuqOaJnU+y+NHFRLQITsmZswzUSBxVT05RlCCALMuZ3lIC1Mmy/AQwAfizoigPZHrz8cJYYkgJI6cZZvNoGwbt3/gnjBV/RdWySzhoq0QwdHNaqukE1BilMS0ZNzQEAcHpTFtCUij13QQjBt4/+igZU8qULBgpoTA87jUk/pcSlC9EMqLjPvP8dJWLfLLqIe6LR3Unlk0c035HQ6FrL4dTiDhnZPduHL+4j9pFi+lecS0fP/YMtWtXEojG2DdzPlNq6llU6+ZD1cmeKz6BevBR7GLosDq8sXLEPDlZlj8ny/KaYX8rRtgsCNwN3AosBz4jy3Lui/aOUcYixZQoBNaMePOdQweI9A8ger1UXn0VPofH9OQM0A2dNXt6ONQTIhrTqb3xemasfBv3vHmH73f3bnofMuue1OZmDn7+CznrrWUiWyzJNmECgssFZPYac/EsU+NeqfE/IGngXPPnF8Yrfdg0LHvr4Ya1AiXx1V3q1u2jOj/5kC0mWSi9uVQKIReWuMlNWPs2rjXvsLVlAJ+7jInvvIK37RAHl1xB+W23MfPdlzBEiYmXfIN/PvueUctAZeKIGTlFUX6rKMo5w/5eGWGbAUVRHlQUJaIoih94HUjfg+44YfgUrvnX/4OvoxuA1X95hy/91bf5zco9mbfXDVPI3DBQwxGEnQoxlwepspLgs89guFwIhoFg6JSE/IRVDUQh3peVZEZZHObIhXfuHLIGMrh2bc7tBjORLfAulZWOWCSb74WWeP/w1omu+fPzHvtwUqfFixSdm1bGKIn36458tLUoRbgJssUk0702VqM3FoHRVBI3udKLlzBPH6C0qpz9K25A9ZQw5bWncdgk3lv5IXR3Mu3lxxH8UcoO1HNa3aK0dXij5WjH5LIiy/Ipsiz/QZZlQZZlG3AB8PFI2+VKx0A4rZSQL5x7IDnffQyPIQ388hc4Q+ayH7n3IF/Z/FTWMpSIpqOZs1F0VcXpHyDm9qAeOkTX08+ai6cNHVHXGefv4vefWURDhRuHTcQuCsmKg+GTVd8bbw55bG9oyFt9NxcSsaSIshPIfBHle6Glvt99xhlDqp39b71FrKMj47a5kOqVlsb/VId5+fiqXUUrwoXsMcnhrxmx2JhXfYxWYHQ4qTe5qT9/gCW33YjgdLJv+Q2ImsbkJ/8X/+Yt7DlnGc6+Hib/6df0rVvPvoHOnGSgcuVoZ1evBL4OzAbOkGX5DkVRlsuy/E1gpaIoq2VZ7gbWYqoFPa8oyrosu8yZ1LqwbFJChd7H8BhSuq5Yw0ktOrZ53dTXlXFKQxklLidlleU4zjsfe8MEpPMuwJBEswurIOCsKEcQhKT3Zkv5P5Xghg34XnwRGIxdlSxZkuw8P9Y6tlSmPPIwvjfeoPkfv4oRjWYskm38+QN5FdKmxv+Cq1cPOWasvT3rtrnwhP8dWm+bPKQoVtz0NvU90HvGdM4ucBFugmwxyXSvBT/8cMyrPoolF+a1i8zc8QHbZ5zOoZtvY27bHnYefBP/zBUcvPhKPOufo015kI5GNScZqFw52omHF4EX0zz/Hyn/pxfVGiOFaEs4mn1kKwfI1BUrteh4QWUpGKBqBthtTLjxWkrsIiV9UTzuJQibzKmuYJPwTptqljrEVYGlVE8u7uhkCzAXSj1lOM5Zs/BecAGBd97BSCwwlyTQtORFlO+Flvp+PRQisnu3ebHrOoLLZR4nZf/5kk6T7W4P1PfA7KmLxnQ+MpHtu8n0WnT3bmBsiZZiyoWd+t//RaVPZVtvhGCpnUnBD+n59m/on7uYbdWLeW72x1yWowxUrpyUKx4ge+PmI7kPGLkrVqqg5Zr2oKmfL5hxtlK7QEQ3EAWzobRhsyVja/Z44M2spyPZRQkGp6vZMqrFyuA5Jk7EVls7aOCIL/Hy+4dcRLleaJlWjSRryW68ccxeaTpNttV3L+PMhbczsbQ42dVs383w1/pfHOYrFLp3aQFveJNK7fhVnf0+lflVixgf+S92b9+E6+bP8MiFC2ksKZzMEpzERu5YImFMPvcfb0Bf+LDXXXaJ6hIHz21qpnp8FXYBBsIqNRUeSuwivqCGQxTwawaOulpU3SCmC9hFgbCiEIuWIOg6vuffpvKm6wBThaTY/SgykW6aJbrdaH4/UmVlRqOV7kLLFpRPff9YL9KxarLlS7bvJrB+fdJjS7yWOiUHRhTSzJdC3/DmVDoIxHQ27zhIXVsXDa2baL/yGj7ujeCxiVQVUG7JMnLHAanT1fGTahEEAR2QBLN7UlSP4ZAEeqMaNkEgGp+e2vQY3Q8+iHHbPyLFYjAwkIzJCUJx+1FkItM0q2z58qRUeqYVEOkutGxB+dT3F2PJUzHJ9t1Ed+5M/j/8tQSJAuhi3qzGgiAILPDovPTqy+y/5GpmPvsnZu74kLYLL0g2SC8UlpErEoVUKElMV+c1lPNhbxRJEBAFEUkQcEkiarypdCimYxMFDHREBKIfrMfh95vySrqZcU3NrhazH0UmRio4zmepW7GVR0bDWEQ7U7et/PSnM343tnHjEOw2nLNmARDdf4BoSs8JILmYv1g3q0LQ8+MfM/nlV9l1zafYt/x6atA5s67wuo6WkSsS+SiUpEocweFdsRJrZH1RjQ3P7UAUBQTRnI7aBIjqBm6bqZFvE8zkgqipxD7agiFKIIoIegzR0IdkVwsZYM7l4h5petz+4x/nbLSOhPJIvqTrkQq5eZHDt0XXM343pcuWJb8bPRxm99Jlg2+KJ3Cw2SAWO+xmlY8RLqbKcuIG5QKmrn2TPRdcxq76ahoMA6HA8cRjuk7ueCZXhZJEGcoVP3uH/nht3TObmll+/yo+/8cPhrw3ohmIgoBhGIiigNtmlopEdQNBAE03p7AGoPf2IqpR3JddDoKAqA3z5DL8jkazJjJXNZWR6q96HvwdkNu62WI28B4t2Xqkjmbb4aT7bjruvx+tuztZAC2WmMkrMV7jmKp2ko/qTTFVloffoCojfiaseZPesmp29kdH2Dp/LE+uSOSqUJJrGUrHQJgmv4oYbxZtGKDFNPpCUTQdorH4Gk3B7H4lRMLYSkpwX7IUo8mHqMUQDW0wJpdh3KMJMOc6xcw2PRZLStD9/pzWzR6thEk2cm7YM8K22TzY4d9N6nkouegiXHPn0P2/fwDAiBunVIOYTyigmCrL6UIWNds2IvW0sm9ApcwhMt5qZHPikEsZSsLbm9ZQydRJ1fE6OZ1H1x7gqVURPn3pPKLxNm56MIgRiSBqGo7aWvpWr4HGeQixGNEdCgOvvApnLC5YhUE+cbFcmr3kYrSORsIkG9l6pOazbb7T7mznwQgGQRSTU8x8vqdixjoz3aAEoP6Vp3HV1VJ1+ZKCHQ8sI3dckPD2DEEwVzPEgwz9gQiTS8xpSkKdxAibJSiCphLdsZ3gHifcNA9Ri6Fu20rgULNp5ArQyKYQcbFEaUeif2guRutoJEyyka1Haq7bjkb5JdfzkM/3VOxYZ9as8ebNeD66HedVBVu5CVhG7rjAJoms/PoS+sIxbn90Mz0hlcvmj+en182lvtSJLooYhkFjiR1nT4DdL76G299PlS2KJmjoL/wf5Ts/ptTtxHXOQuQ6Fy5p7EauENJMUx55mGhTEx0/+nHORquYFfn5MlKP1PCuXTltO5ppd67nIZ/vqdByW8M5Gjcoy8gdBwxfIxtWdZ5cs4/H3t87ZI1sjRuoaGTy7Z8dsr0z/sMvv/VW6r/9LwUZUyHjYoUwWsVagjYSI/VIDa1bl/FcFGPaPfw85PM9HYlY59G4QVlGroiMVBqSK2NdZ1sMA1DsuFi+Yy62iGQmEj1Sw1u2DGkqk0rbvfemPRfF8GqGn4d8vqejFess9g3KMnJFohAqJwnGuka2GAag2NOOo2W08iXRIzV1up04D0DWc3EkvJp8vqejFess9ndtGbkiUQiVk2OZYykudrQZfi7233JrUoI933NRaK8mn+/pRP1Oj/+r7RilUAolxxNHKy52rDHlkYeThi7fc3EkPNh8vqcT4Tu1jJxFwThepphHgmP5XOQztmP5c+SKtazLwsLihMYychYWFic0lpGzsLA4obGMnIWFxQmNZeQsLCxOaCwjZ2FhcUJjGTkLC4sTGsvIWVhYnNBYRs7CwuKExjJyFhYWJzTH+7IuCaCtre1oj8PCwuIokmIDDusadbwbufEAt95669Eeh4WFxbHBeGBP6hPHu5FbD1wItALaCO+1sLA4cZEwDdz64S8IRgY1UwsLC4sTASvxYGFhcUJzvE9XjziyLF8EPA78raIoL6R5vRVQUp5aqihKQafSOYzhVuAuQAd+oyjK7wp8fDvwv8BkzDDBZxVF2TvsPUU7D7Is3w+cAxjAnYqirE95bRnw7/Fx/UVRlH8txDFHMY6NQH/K229VFKW5CGOYDzwL3K8oyi+GvXZEzsUIYzgi5yEblpHLA1mWpwNfBd7N8LoAtCiKsuQojsELfAc4C4gCG2VZfkZRlEK2Q78F6FMU5VZZlq8AfgAkO5wU8zzEDfxMRVHOlWV5LvB74OyUtzwArACagXdlWX5SUZRtR2EcFPN3EB+DF/g58EaGtxT9XOQwhqKfh5Gwpqv50QrcAGTqtuslTQr7CI/hbGC9oij9iqKEgHeA8ws8hqXA0/H/XwGGdzgp5nlYCjwDEL9gK2VZLgOQZXka0KMoSpOiKDrwYvz9R3QccUqLdNxUIsAVQMvwF47gucg4hjhH4jxkxfLk8kBRlCCALMuZ3lIC1Mmy/AQwAfizoigPZHpzkcZQD3SmPG4jXmpTQJLHUBRFk2VZl2XZoShKNP56Mc9DPfBhyuP2+HMDpP/s0wt03HzGAVAty/LDwBTgLeBuRVEKmuVTFCUGxDL8Fo7IuRhhDHAEzsNIWEYuA7Isfw743LCnv6soyitZNgsCdwN/AuzAKlmW31MU5cMs2xR6DEKax6P+UWUYw9nDHg8/RkHPQ5pjZTp2QT/7GMYB8M/Aw0AIM151A/BkkcaSjiN5LrJxtM+DZeQyoSjKb4Hf5rnNAPBg/GFEluXXgQUMveMXdQyY8ZerUh43AGtGc/xMY5Bl+X8xPYXN8SSEoCiKmrJNQc/DMJrjx04wAdNLSfdaA+b0vhhkGweKovwq8b8syy9gfv4jeXEfyXORkWPgPFgxuUIiy/Ipsiz/QZZlQZZlG2as6uMjPIy1wCJZlitkWS7BjMe9U+BjvArcHP//asxpSJIin4dXgZvixzkdM8HhA1AUZT9QJsvylPhxr4q/vxhkHIcsyzWyLP8lfgMAuAjYWqRxpOUIn4u0HAvnAaxi4LyQZflK4OvAbMx4R6uiKMtlWf4msFJRlNWyLN+HeVHrwPOKonz/KIzhpvh7DODniqIUtK+cLMsSpnc3EzPw/BlFUZqO1HmQZfk/gMXxfX8ZOB3oVxTlaVmWFwM/jL/1SUVR/rNQx81zHF/HzDhHgI3AHfEEQCGPfwbwE8x4l4rpvT0H7DtS5yKHMRT9PIyEZeQsLCxOaKzpqoWFxQmNZeQsLCxOaCwjZ2FhcUJjGTkLC4sTGsvIWVhYnNBYRs7CwuKExjJyFhYWJzSWkbM47pBl+UuyLP8y5fG/ybL80NEck8Wxi7V21eJ45A+AIsvyP2OuqrgSOO/oDsniWMVa8WBxXCLL8o8wdesuBy5VFGXPCJtYnKRYnpzF8crvgO3AtZaBs8iGZeQsjle+gylQkPwNx9Vw/wUoVxTlpqM1MItjCyvxYHHcIcvy1wAX8AngzsTziqLsVRTl747awCyOSSwjZ3FcIcvyJcBngdsURXkbUzPttKM7KotjGcvIWRw3yLI8CVPH7uaEQCXwM8z2ixYWabGyqxYnDLIsVwPfBy4Ffqsoyg+O8pAsjgEsI2dhYXFCY01XLSwsTmgsI2dhYXFCYxk5CwuLExrLyFlYWJzQWEbOwsLihMYychYWFic0lpGzsLA4obGMnIWFxQnN/wcOmrKZMdI6mgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "for outcome in df3.Y.cat.categories:\n", " plt.scatter(df3[df3.Y == outcome].X1, df3[df3.Y == outcome].X2, s=100, marker='${}$'.format(outcome))\n", " \n", "# Take 20 values from the posterior distribution and plot the lines\n", "tr_len = len(trace2)\n", "n_curves = 20\n", "stepIdxVec = np.arange(500, tr_len, tr_len//n_curves)\n", "X1_span = np.linspace(df3.X1.min(), df3.X1.max())\n", "X2_span = np.linspace(df3.X2.min(), df3.X2.max())\n", "\n", "# Prepare grid for contour plot\n", "xx, yy = np.meshgrid(X1_span, X2_span, indexing='ij')\n", "Z0 = np.zeros((X2_span.size,X1_span.size))\n", "Z1 = Z0.copy()\n", "Z2 = Z0.copy()\n", "# Calculate p based on grid of X1 and X2\n", "for idx in stepIdxVec:\n", " for (i,j) in np.ndindex(Z0.shape):\n", " Z0[i,j] = expit(estimates3[idx,0,0] + np.dot(estimates3[idx,1,0],xx[i,j]) + estimates3[idx,2,0]*yy[i,j])\n", " Z1[i,j] = expit(estimates3[idx,0,1] + np.dot(estimates3[idx,1,1],xx[i,j]) + estimates3[idx,2,1]*yy[i,j])\n", " Z2[i,j] = expit(estimates3[idx,0,2] + np.dot(estimates3[idx,1,2],xx[i,j]) + estimates3[idx,2,2]*yy[i,j])\n", " plt.contour(xx, yy, Z0, colors=color, alpha=0.6, levels=[0.5])\n", " plt.contour(xx, yy, Z1, colors=color, alpha=0.6, levels=[0.5])\n", " plt.contour(xx, yy, Z2, colors=color, alpha=0.6, levels=[0.5]) \n", " \n", "plt.xlabel('$X_1$')\n", "plt.ylabel('$X_2$')\n", "plt.title('$\\lambda_{\\{1,2\\}|\\{1,2,3,4\\}}$ \\n $\\lambda_{\\{1\\}|\\{1,2\\}}$ \\n $\\lambda_{\\{3\\}|\\{3,4\\}}$')\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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55BISExO58sorWbVqVZ4yU6ZMoUePHt7HW7ZsYejQoVxwwQUkJiby+uuvH1NdJXwoYZOwtWbpp3zzzTdcnPQqfR97g+ysLH55//+86z23C1iyZAlz5szhzTff5JNPPuH3339n3rx5ZGZlM2vWLJKTk0lOTmb+/PnUq1ePSy+9lJ07d3LHHXeQlJTEF198gTGGqVOnhupQRSTC/Pnnn2xY8WW+69PT0xk5ciQPPvggS5Ys4ayzzmL+/PkAJCUl0bRpUxYuXMjs2bOZO3cu33zzjeKWSCmXvj2F7155nPPGPMLChQspX60mP7493W+5cePG8eyzz5KcnExiYiJjx47NUebPP//ks88+y7Hsv//9L126dOHjjz/mlVde4fHHH+evv/4q1mOSkqGELYpt2rSJs846ixdffJGEhAQSEhL46aefGDZsGF27duWee+4B4OOPP6Z3794kJiYyaNAgNmzYAMCuXbsYMmSI90xvWtqR3q/Vq1czcKBzBumiiy5i+9//K3L9qjU8nvHjxxMXXxZXTAx1W7Znz+YN3vWe2wVMe/9zKp/ShefWHOKx31OpeOZFPPPOR8TFuHLs7+2336Zly5a0aNGClStX0qRJE04++WQABg8ezCeffFLkOopIyQpm3Bo6tOC49euvvx5VHbOzshg/fjynXjEs3zKfffYZrVq1ol27dgAMGzaMIUOGALBq1So6d+4MQKVKlWjdujWrVq1S3BIpopJo58wd2Z/37rw6oHbOhhVfUb/1aVSqVReAk8/vy9rvvshTLiY2jkcffZQGDRoA0LlzZ9auXetdn+WOMSNHjsyx3RVXXEG/fv0AqFevHo0bN2bdunVFeMUkXOk+bFFu165d1K5dm4ULF3LrrbcyatQo5s6di8vl4uyzz6ZPnz7cd999zJ07lyZNmjBjxgzuv/9+Xn31VV588UWqV6/OjBkzuHfhr8y7exBbKzUg/Yd/mTfmVlom9uOcHhdxXtZ6rh9xK/2enssfyXNY9fk87/MvLhvLzoOH6XzdndRrdWqOutVo0owWLWrByu1k7Etn3feLOKlrYt6DcLnIzsryPowrV57UlE05imRkZPDiiy/yf//3f+5NXGT5bFO+fHnS0tLYuXMnNWrUCMZLKyLFJFhxa9OmTST2vshv3Npqf2H48OFc8Pg7eeIWOLHLDLw9T9wCsJ/No3nz5hw+qVW+x2CtpXr16owYMYLVq1fTsmVL7rvvPmrUqEHnzp1JTk6mc+fO7Nixg59//pmhQ4eyefNmxS2RIgpmvLj44otp1qwZWVlZjBo1ikGDBvH3Seew1f7C54+MydPO8bRxADpfdyepWzZS+bgG3rpVPq4BB/bs4mB6KmUrVfEur1C9Fl3atwAgMzOT9957j549e3rXv/XWWzRv3py2bdvmONbzzz/f+/fKlSvZtm0bp512WvBfVClxStiiXGZmJomJThLUvHlzAO8Pf+3atVm2bBmdOnWiSZMmAPTr14+HH36YQ4cOsWLFCoYNc84gV65Tj7ontwdgz+b1pKZsoln3CwE47bTTKFelGv+u+o3WF/an9YX9vc8/pn2tfG+q7bHkyfGsX/ElJ5x5HiedfUGe9fXbnM7S6Um06nUFZStVYdUXH3L4UEaOMh9++CFt2rShUaNGALRr145169bx7bffcsYZZ/DKK68QFxdHRkZGnv2LSHgJVtxq2LBhvnHrOHMKNWrU8Bu3IP/YtW/3Dn7/+G2mzZvL1O825FnvkZqaytdff83rr79O/fr1+e9//8tDDz3EI488wi233MKAAQM444wz2LdvH0OGDKFFixbUqVNHcUukiIIZLzp27AjAmjVr2LBhA5dddhlTf97JceYUv+2c3HHi768WUq5Kde/j2DLx4HKRefBAjoTNY+bMmTz77LM0btyYZ555BnCucZ05cyazZ8/O0ePnsXnzZgYOHEhaWhoPPvigTuZECCVsUS42NpZy5coBEBMTQ4UKFXKsi4+Pp0qVI0GkcuXKZGdns3v3bvbs2UPlypW96+IrOn8f3JtO9uHDvDf6KsA5w7Q/NZWDaXsKrMuKN59jw3Lnmo+uw++j9kktAeh263gyMw6y4o1nWfL0BM4ZOTHHdg3bnUHLxH4snHQb8RUr06RjN/bu2JqjzEcffcSVV17pfVyjRg2eeOIJpk6dSmZmJv/5z38oW7YslSpVCuyFE5GQKYm4BRB/aD/1ixi3fl/wNu0uu5aqVasWuF3lypXp3Lmzt5E4aNAgrr/+egDuueceEhISGDFiBHv27OH6669nwYIF9OrVS3FLpIiCGS885VJTUzl8+DC9evXy9qBl7N9baDsnrly5HCeUMzMOQnY2ceXK+y1/zTXXMGjQIObPn0///v1ZsGABkydPZsSIEVStWtVvwla/fn2++OILNm7cyNChQylXrhzdunUr7GWSMKeETQpUs2ZNVq5c6X28Z88eYmJiqF69OlWqVMkRLA6k7qZynfpUqF6LMhUq0vexN4GcZ5h+m/9WvkMiO1x5Ex2uvMm7bvNvP/BXpROA6sTFl6V5j4v5ePxwv/Vsc/FVtLnYaWit/vJjqjc60bsuPT2dn376Kc/MTmeffTZnn32281ybNzNz5kw1fEQiQDDiFhyJXbnjFhwZEpk7bm38cSkpv/9Il7eeJe1gJhnpqbx1w0X0e3quczbdrWHDhjmuLYmNjSU2NhaApUuXMnr0aFwuF9WqVaNLly4sX76cXr16KW6JBFlR4sXOnTtp1KgRderUoWLFiiQnJ+fpafeNF7mHRFat34Qtv63wlt29aS3lq9ekbMXKOfax+591fLXX0vWsLrhcLnr37s3EiRNZu3YtixYt4rvvv2fKlCkcPnyYPXv20KVLFxYtWsS8efPo27cvsbGxNGrUiO7du/P1118rYYsAmnREChQXF8eKFSvYuHEj4Iyb7tKlC3FxcbRr1847Q1Fqyia22p8BqFS7LhVr1Gbdd4sAJ8AtfnIchw7sp/WF/en72Jvef8nJyfR97E2/14H8a38mKSnJezZq4w9fU73xiXnKbfn9Rz5+4GYOZx7i0P69/L7g7RxDJ9esWUP16tVzNGrS09NJSEhg8+bNZGdn88wzz9C3b98gvWoiEkqBxq0NGzbkG7cOpO7m9ttv9xu3PLHLX9y6+tXP6P/ChyxdupSLJr1ExZp16P/ChzmSNYALLriAFStWYK0FYPbs2d6JRpo2bcqiRe56HDjA999/T7NmzRS3RIpBUeLFDz/8AECDBg2oW7cuycnJgBMv/LVzPG0cTzuncYeupPyx0juB2h/J73DCmeflqdOB1N3cM+Zu7v/8fySt3M6ot75g78EM3tlZgStmfMo3S5eydOlS5syZQ7169Vi6dCnx8fG88MILvP/++wDs3buXZcuWYYwp9tdQip962KRAdevWZeLEiQwfPpzMzEwaNGjAxInOkMQbbriBUaNGOfcAqd2IJh2dMzgul4tutz7Aty89zI+zp/Nl+TLU7/kfyuTT5Z+f1hddxaEF03n/rkGQDRVr1qHLsDEArF+2hHtmr6Dq5Xdw3MltqVKvMXNHXoHLFUOrXlfkaEilpKRQu3btHPuuVKkSgwcPZuDAgWRnZ3PmmWd6x6mLSOkWaNw68cQT841buGK486br+buIcasgfyTP4cCendB+LDVr1uTxxx/n5ptvxuVy0axZM28dk5KSmDhxIm+99RbZ2dl07dqVyy+/nLi4OMUtkSArSrzwTOrhcrl47LHHGD9+PHbTo+CKofWFVxTazqlYozadrxvN54/ew/nTsnHVO5H2/a4DYNvqP/hx9oskjH2cuie348Ybb+TJSSMhO4uYuHi63TqB+AoVC9z/008/zcSJE3nxxRc5fPgwPXr00EmdCOHy3GA4BEL2xBJ8BU0cUtDEIoVNOnKs20qJcxVeJOwpNkWRUMUuKXGREJtA8SnsKIZIEBQanzQkUkRERETEj8ws5cgSehoSKSIiIiLiR1yMSz1dEnLqYRMREREREQlTSthERERERETClBI2ERERERGRMKWETUREpAQVNImBJjgQEZHcNOmIiIhICdIkBiIiUhTqYRMREREREQlTSthERERERETClBI2ERERERGRMKWETQKiC+FFREREREqeJh2RgOgieREpjTKzsomLcYW6GiIiIkdNCZtErIIaamrEiUQHnWwSEZHS7pgTNmNMDNDQWrshCPURCRo11ERERESktAvGNWy1gbVB2I+IiIiIiIj4CNakIxpbJiIiIiJSzAqbCE4TxUWefIdEGmPuD3AflQB9MkREREREillBl3yALvuIRAVdwzYOOOz+JyIiIiIiIiWsoITtQaA/cLq1NjW/QsaYusA/wa6YiIiIiIhItCvoGrbxwDrg9UL2oeGQIiIiIiIixSDfhM1amw0MAD4zxjQpYB8ZwJfBrpiIiIiIiEi0K/A+bNbaHcC0QsrsAs4JZqVEREREREQkeNP6i4iIiIiISJApYRMREREREQlTSthERERERETClBI2ERGRMJGZVfDEy4WtF5Gi0XdKSoMCJx0JhDGmMnCNtfbpINRHREQkYJlZ2cTFuEJdjaCJi3GRtHJ7vuvHtK9VgrURiXz6zklpEHDCZoyJA1oANXwWu4DOwDhACZuIiJQoNbZERCTSBZSwGWPaAB8AjfMp8m7QaiQiIiIiIiJA4D1sjwE/AdcC84FBQBYwENhhrR1WPNUTERERERGJXoFOOnIacI+1djFOorbSWvuetfYyYL8x5sHiqqCIiIiIiEi0CjRhiwH2uf/eC9T0Wfc0cF0wKyUlT7MkiYiIiIiEn0CHRP4J3GiMGQ9Y4HpguXtdM6Bc8KsmJUkX7ouIiIiIhJ9AE7YpwGxgJvAM8JYx5nzgH6ADMLd4qiciIiIiIhK9AhoSaa19D2gFrLPWzgYuB34AdgITAU06IiIiIiIiEmQB34fNWrvK5+85wJxiqZGIiIiIiIgABSRsxpjpRdmRpvYXEREREREJroJ62M4HfKcOrAFUBnYD6UBV9+MdwMbiqqCIiIiIiEi0yjdhs9Ye7/nbGNMLuBO4zVr7i8/yTjg31Z5UjHUUCbrMrGziYlxHvV5EREREpCQEeg3bVOBa32QNwFr7vTHmTuBFYEGwKydSXHQbAxEREREpDQK9cfZJOMMg/dkNnBCc6oiIiIiIiIhHoAnbX8AUY0wj34XGmAY4wyHXBrtiIiIiIiIi0S7QIZG3Ae8D64wxW4F9OJOO1AAOApcVT/VERERERESiV0AJm7X2C2PMCUBf4GSc2SH3AhZ4z1q7pfiqKCIiIiIiEp2KcuPs7cB0Y0w1oAKQbq1NLbaaiYiIiIiIRLmAEjZjTAUgCbgCqOWzfAvwGjDOWnuwWGooIiIiIiISpQLtYXsJuBh4HViOMxyyEnAmcCtQBxhSHBUUERERERGJVoEmbBfh3IftnVzLXzTGfAI8jxI2ERERERGRoAp0Wv8MYGU+65YDmcGpjoiIiIiIHK3MrOyjWifhK9AetteAgcB4P+sud68XEREREZEQiotxkbRyu991Y9rX8rtcwlu+CZsxZqzPwx3AUGNMD+A7IBWoCHQFmgCPFmclRUQkemVmZRMX4wp1NUREREKioB62B/0sawCc5Wf5o8ATQamRiIiID50tPqKg5FWJrYhIZMo3YbPWBnp9m4iIiJQAJa8iItFHSZmIiIiIiEiYCvTG2afgDHlsB1T1V8ZaGxvEekkx0HAZERERiTZq/0hpF+gska8AsTjXte0ENCdoKaShNCIiIhJt1P6R0i7QhM0AHa21fxRnZUREREREROSIQK9h+xmoVpwVERERERERkZwC7WEbBjxujHkZJ3nbl7uAtXZDMCsmIiIiIiIS7QJN2E4EWgNv+FnnwrmmTZOOSMTQvY5EREREJBwEmrBNA34FbkaTjkgU0AXKIiIiIhIOAk3YagPnWmv/Ls7KiIiIiIiIyBGBTjryCdC+OCsiIiIiIiIiOQXaw/YacJ8x5iycoZH7cxew1vq7vk1ERERERESOUqAJ2xz3/23zWZ+N/wlJRERERERE5CgFmrA1LdZaiIiIiIiISB4BJWzW2vX5rTPG1AGeAq4IVqVEREREREQk8B42jDEtgR5ADZ/FLpzJSM4Ow1DsAAAgAElEQVQNcr1ERCRK6N6GIiIi+QsoYTPG9AHexknQYoBDQLx79d/AfcVSOxERiXgF3fcQdO9DERGJboFO638/8CBQHtgHtMTpabsNWAW8WhyVExERERERiWaBJmzNgJnW2kycGSFjrLW7rbVPAfOA6cVVQRERERERkWgVaMK2F6d3DWAX0Nhn3ULgvGBWSkRERERERAKfdGQ58Jgx5ipgBTDeGPM3sBm4GmeYpIiIiIiIiARRoAnbPcCHQDVgMrAYWOOz/v7gVktEREREREQCvQ/br8aYpu6/17qn+L8YZ6bI7621S4uxjiIiIiIiIlEp4PuwWWuzff7eADwNYIyJN8b0stYuKIb6iYiIiIhIEBR030vdEzN8BZywFaA6znDJ2CDsS0RERI5CYY0tNcZEpKD7Xuqel+ErGAkbODfUFhERkRDRDchFRCJToNP6Fya78CIiIiIiIiJSFMFK2CQMZGYpbxYRERERiSTBGhIpYUDDYUREREREIku+CZsx5pMA9xEfpLqIiIiIiIiIj4J62OIJ7Nq0bODL4FRHREREREREPPJN2Ky13UuwHiIiIiIiIpKLJh0RKaKCJnfRxC8iIiIlS7+9Euk06YhIEemmkyIiIuFDk65JpFPCJnms/vJjfv3gNQ7t30/dk9vR5YYxAPz91UK+nfEoFarX9JY9rf+N0P4yVr7zMn9/lUzVBsfTc/RkYmKdj9bfX3/Cg/PXEHfhjX6fa8yYMawrU4t2fQfnWP5K/y5c/sx7QC3eufkysskmLr4s2VnZxMbHc8qlg6B9f4Ac6w8d2E+Veo1o3ftKaH9x8F8cEQkr77//Pu899VyOeBVbJt4brxbXrcPOg4cBJ1416djNG6/WtmxOk6ETcsSrbat/54zBo/w+11fPPkjlug3zjVcVa9bxxqPFlSuwY3+mN16dcOa5gBOvFsbHsJe4HPGqUfszi+9FEpE8PG2d5MMHqXDiKXlih6ets7hsLE37DM0ROzxtHY9gxg5PW2dplfLUS7wqR+zwrF9w+CCuWg0UO6KIEjbJYdfGNSyb9RQXT36FijXr8OVTE/j1g9eh450c3JtG0zPPpcvQu3Jss2PHDtYv/5K+T7zFdzMeZeMPS2nSsRuH9u/lt4/e5LE5b/DM6oPHVK9uN4/juBZtAdizeQPz77+Bv84/DaieZ/3mX1fw1XMP8lGdGGhwxjE9r4iEr10b1zB58mTOe3BGjnjV7rJrvfHqw2en5jjzvn/PLm+8OjDvmTzx6oL7nzrmenW7eRyPX9mTpJXbvfGqeqMTqN7oBAAefvhhPos9HjgSr06/agQndDnvmJ9bRArn29aZeG5Leg25JU/s8LR1xrSvRdLK7Tlih6etQ4fLgh47PG2ZK6qlccl/Ls8ROzzrx7Svxa3/l6zYEUV0DZvksOW3H6jX6jQq1ToOl8tFy16Xs37ZYgAO7d9LfIVKebZZv3491RoeT0xMLDWOb87uf9YB8OPsl2h9YX8qV64c1DpWrd+Yeq078O233/pdX79NBzoPuYOpU6eSna1x7SLhoDiuMdny2w+cccYZRYpXqSmbvPGqZcuWeeKVv22OhSdebfntB7/rPfFq+evPKF6JlJCjaev4xg5/bZ1gx46mTZsqdoiXetgkJxdkZx32PixTrjypKf8AkLE3jX//+p2P/juUjH3pNGx/Jqf1v4GY+BhwB4vsrCxcMbHs3PA3uzb8Tf1TTmfYsGFsia1Cp8GjiIsvG5RqZh3OJD4+/1sANjq1C98++wCpWzZQtX6ToDyniBy9Yrn20wVZWVneh/7i1eWXX866bbu88coV4/LGq8OHD+eJV59OGU2F6rXolM/QpqORdTiTmDJl8l3f6NQuLHlqAqlbNgC1g/a8IpKPIrR1SOjJ4R6DcsQOT1vHWus3dgSzrRNo7FBbJ7IpYStlMrOyiYtxFdv+67fuwI9vT2fXxjVUrd+Y/33yLocPZQBQo0kzylauSssLLudwxkE+f/hufv3gNW6560Z2bVxDZsZBUv5YSfMeF/H9zCfodM1Iljw5jkUfvsv1U19gzdJPaX5O7zzP+cfH77Dm64UB13H7WsvW//3E2VMnsG6r/zKumBgqVKhAxr69R/U6iEj4q9+6A5+88yLnnZd/vJox5iamLN/sjVcnJ/bzxqvly5dTs/35OeJV7wdf5H8L57Bm6afQaXCe5/TEq8VlY73XxhXEE686XXNbvmVcMTGUKVde8UqkhPi2dTLbVCuwrfPLc/8lKz1n7PC0dSZNmkTHa27LEzsCaessLhtbYB1///13xQ7xUsJWyhT3DIXVGjal0+BRLJ52P7Fl4mnW/ULiKzrd/Cd2TThSj/iytLzwCn6d9xpVqtzFyQmX8cGYazmuRVv27dxGzeMN5apUo0z5ClSoUIEaTZqx8YevwU8Qa3lBP78X4vpa8vQE74W45atWp/vIB6lfvz5s9f9aZGYcZMeOHZSrUv0YXxERCVfVGjblvvvuI6mAeFWuXDnKVqrijVftLhvijVcJZ3Vic654VaZc+SPxyg9PvPJc1wL+41XizIfZsT/TG68q1aqb73FkZhxkf+ouxSuREuLb1rn81QpU65iQb1tn8ODBTHji2Ryxw9PWadWqFXv9xY4A2jpj2tfCGJOjjG9b55cGdRQ7xEsJm+TRrFsvmnXrBUDK/37yXuyatvUfylauemScdna2d3a1Fuf1ocV5fTi4N43kibfSa9zTHNq/78hOs7NxxRz9JZO+F+IGYv33i2nSpAmV69Q76ucUkfDXp08f7PFdAf/xCtwnsvzEq+EnxpPQ76piiVeeSUcCsf77xVQ5rqHilUgJ8rR1xrSvxcg3Psu3rZNdQFtn2tw3mfr9xiM7DWJbx/ekUH4UO6KHJh2RHFJTNjHv7ms4uDeNrMxMfnn//zjJnbz9/N5MVrzxLNnZ2WRmHOTPT9+nYfvOObb/8e3ptLn4KsqUr0i5ajU4sGcXe/fuZdvqP6ja4PgSOYYtv//I8jee4a677iq8sIiUWqkpm7jkkkuOOl498cQTeeLVoQP7QhKvTh84okSeT0RytnUOHTpUYOx48803823rVKpUSbFDSoR62CSHKnUb0rhDV+bdfQ0uXDTtcq63t+30gTezdHoSc0f1x+Vy0bBdZ+d+Z2471q4idctGOg+5A4CYmFhOuXQQl1xyCRmVanLunVOLrd6eYQSH9u+jYs06nDXsHnr27MnyAM9wi0jpU6VuQ3r27MmrBcSrhIQEdmVk+Y1XO9ato/lFw4Ej8WreXddQoWadYo1Xd955p3MfNp94lbtBWBwKuga6uK+PFgknvm2dJWXjqNHhnHzbOn3O70H2uYW3dUoidnjaOvMzD5BdpVaJxQ4JPSVskkf7ftfTvt/1eZaXrVSFHrc/lO92NZs2J+HeJ3Isa97jImbccW2+3fpJSUl+11371lLv3/2enltgfQtbLyKR69Zbb2Vf1wF5lnviVX7Dimo2bc7DM2bkWNe8x0U073FRvs/Vdfh//S4varwKZKhTcSjua6BFShNPWyf39zF3Wyf3+vzaOiURO/Krk0Q+DYkUEREREYlyhd0vszjupymBUQ+biIiIiEiUK6gXHtQTH0rqYRMREREREQlTSthEROSYaaiMiIhI8dCQSBEROWYaSiMixUkzmUo0U8ImEkSF/aDoB0dERKToNMupRDMlbCJBpF4GEREREQkmXcMmIiIiIiISppSwhSFdvC8iIiIiIqAhkWFJ47RFRERERATUwyYiIiIiIhK2lLAF6LXXXsMYk+/66dOn06tXL7p3787kyZPJznaGNaanpzN69GgSExNJSEhg2rRp3m1+/vln+vXrR2JiIn379mXJkiXFfhwSWm+88QYXXnghCQkJXHfddWzZssVvuUOHDjFlyhSMMaSkpHiXr1ixgrZt25KYmOj999prr5VU9SWMpaSk0KpVqxyfjUcffTRPueTk5BxlEhMTMcaQnp7O3r17ufvuu0lISKBXr14kJSVx+PBh77bvv/8+7du3Z968eSV5aBICgcSqY/ksSeSYP38+vXv3JiEhgVtuuYW0tDS/5b799lv69OlDQkIC1157bY7fNo8pU6bQo0eP4q6yHIXNv/3ApZfm//6t+OHHPPGgVatWWGsBePLJJ71t4ZEjR5Kamppj+6ysLPr168eYMWNK7JhKEw2JDMC///7L7Nmz812/ZMkS5syZwzvvvEP58uUZMmQI8+bN49JLL+Wxxx6jTJkyLFiwgH379nHppZfSoUMHzjzzTG655RYmTpxIt27dWLVqFQMGDGDRokVUrly5BI9OSspW+yufzZjB3LlzqVq1KpMnTyYpKSlHEu8xfPhwWrdunWd5WloaHTp04OWXXy6JKkspkpqaSsOGDUlOTi6wnOeH1GPBggV8/PHHVKpUiccff5xDhw7x8ccfk5mZyZAhQ3j33Xfp168f06dP58cff6Rp06bFfSgSAr63HPnxxx+ZkStWTU5K4slcsepoP0sSOTZv3szEiRN59913qV+/Pg888ABPPPEE9913X45y+/bt4/bbb+ell16iVatWvPzyy4wfP57nn3/eW+bPP//ks88+K+lDkAAcOrCfJU/ezxuvzuDDjOP49cM3GDhqLOfeNdVbZsxpp+b4/fn555+ZOHEizZs356OPPuKbb77h/fffJz4+npEjR/L8889z1113ecu/+eab7NixgxNPPLFEj620UA9bACZNmsSNN96Y7/pvvvmGc889l6pVqxIfH8+AAQP45JNPADjvvPO49dZbiYmJoVKlSrRo0QK76i/27NnD1q1b6dy5MwDNmzenXLlybNq0qUSOSUpe+arVmTp1KlWrVgXgjDPOYO3atX7Ljhgxgttuuy3P8rS0NCX04ldaWhpVqlQp0jYHDx5k2rRp3HnnnQBYa+nYsSMxMTHEx8dz6qmnsmrVKgA6derEc889R8WKFYNedwk9z7XTSSu3M2drDG2uv5fn1hwiaeV2NtVuybp8YpVHUT5LEjk+//xzOnfuTP369QEYMGAAH3/8cZ5y3333HY0aNaJVq1YA9O/fn6+//pr09HTA6V0ZP348I0eOLLnKS8C2/P4DlevU975/Lc67lH9+/p5D+/fmu82kSZMYM2YMLpeLk046ifHjx1OuXDliYmLo2LFjjvbPv//+y6xZs7jmmmuK/VhKKyVshfjyyy9JT0+nV69e+ZZxuVxkZWV5H1esWJENGzYA0LlzZ+rVqwc4wyNXrlxJ+3ZteX5tJjWOb85Nz7xJ0srtjHrzc/ZlxfBuWtXiPSAJmSp1G3LqqacCcODAAT788EN69uzpt2y7du38Lk9LS2PdunUMGDCAhIQExo4dm+/wE4kuaWlp7N69m8GDB5OQkMCtt97K1q1bC9xmzpw5nHrqqTRu3Bhw4tWnn37KgQMHSEtLY+nSpXTp0gWAtm3bclgT2EaFKnUbcpxpA0BmxkH+XvpJvrHKoyifJYkc69at877nAI0bN2bHjh3s2bMnT7lGjRp5H1esWJFq1ap520pvvfUWzZs3p23btiVTcSmS1C0bqXxcA+/jMuUqULZyVVJT/vFbfvHixZQtW5YOHToA0KJFC1q0aAE4v1XJyck5hr4+9NBD3HzzzTohXQAlbAU4cOAAU6ZMYdy4cQWWO/PMM1mwYAEpKSns37+f2bNnc/DgwRxlMjIyuOOOO+jRowft27cHoMuwu1k26ylevy6RhZNG0unaUcSWiS+245HwMHXqVM4880zS0tK4/vrri7Rto0aN6NatG88//zzz5s1j7969PPTQQ8VUUylNatSowTnnnMPUqVOZP38+devW9fZ2+JOVlcWMGTMYMmSId9lVV11FZmYmnTt3pnPnzjRp0oRu3bp518fFuNiQdoiP1qd7e2M8/yTyLH/9Gd66oTcZ+9ILjFVH81mSyLB//37i44+0W+Lj43G5XOzfvz9PubJly+ZYVrZsWfbt28e2bduYOXMmd9xxR4nUWYou8+ABYsvkfP9i48uSeXC/3/IvvfQS1113XZ7ld9xxB2eddRaNGzfm0ksvBZyOkdTUVHr37h38ikcQJWy5vPbaa95x+X369KF37945zh75c/bZZ3P11VczePBgBg8eTPv27XOcJdi7dy833ngjNWrUYMKECYBz1vKLR8dyzsgHuerlZC6ePINvXpxC+ra8F+FK6fVH8hzevf1K3r39StYvcyaVueuuu1i2bBmnn3461157bZH2d/bZZzNq1CiqVKlCuXLlGDZsGIsXLy6Gmktp4Buvtm7dytixY6lTpw5xcXEMHz6cZcuWsW/fPr/brly5kgoVKtCsWTPvsocffpiGDRuybNkyli9fzr59+3jppZdK6nAkhF577bU8ser0q0Yw4KWPqXty+wJjlT5L0cU37vz6669kZGR41x08eJDs7GwqVKiQY5sKFSrkOZF94MABKlasyOTJkxkxYgQVKxdtSLeUnLhy5Tl8KOf7d/jgAeLKlc9TNiUlhVWrVtG1a9c86x599FGWLVtGhQoVuPPOOzlw4ABTp04ttGNElLDlMXDgQJKTk0lOTiYmJoZZs2bRpUsX71COLl26sH79+jzbDR06lOTkZN5++21q1arlnVEyMzOTm2++mZNOOonJkycTE+O85Ls3riE76zD12zjdxdUaNqVK3UZs+/uPEjpSKQktE/9D38fepO9jb1KhZh1+XPkTAHFxcQwYMICff/7ZO1NSIDdMT0lJYceOHd7H2dnZxMVp7qBo5RuvTj311ByzdmVnZ+NyufL9fCxevDhPj8fSpUvp1asXZcqUoXz58vTs2ZPly5cX6zFIeBg4cGCOWLXtr98BiImN4+Tz++SIVbnpsxRdfONO//79WbNmjXfdX3/9Re3atfNcT3vCCSfkuGZp586d7NmzhyZNmrBo0SKmTJlCt65n0evSy9i8eQvtOnZm0rLN6sUPE1XrN2bP5g3exwdSd3FwbxpV6jbKU3bx4sV06dKF2NhY77Jvv/2Wv/76C3B6Vvv168fXX3/Nb7/9RkpKCgMGDKBLly5MmjSJBQsWMGzYsOI/qFJGCVsB5s+fzzfffMPSpUtZunQp4PwINWnSJEe577//nquvvpqMjAzS09N59dVXvV29s2bNomLFiowdOzbHNpVq1yVjXzrb/v4fAOnbU9i9aS3VGhxf/AcmIbHnn3WMu/8+Hli6zrlu8ZUPqFjzOJ79O4Okldu9M7QVZM6cOdx7771kZGRw+PBhZs2aRffu3Yu/8hL2vvrqK4YPH+69iP/VV1+lc+fOOYYr+frzzz/zzMbVtGlTFi1aBMDhw4f56quvcvSaSHTY8886lr44hYx9zmdpww9LqVevXr6T2uizFL3OPfdcli1b5k3GZs2a5XdoW6dOnUhJSWHFihXecueccw4VKlRg5cqV3nbWRZNeomLNOvR/4UNdIhJG6rU6jb07//W+f38kz6HRqWdSxk8Pm7948MMPP5CUlOTtjV20aBHGGDp06MCKFSu87/+9995Lr169mD59evEfVCmjU/NH6dNPP+WLL75g8uTJdOjQgaZNm5KQkIDL5WLw4MF06tQJcC6k3b9/f46pjxMTEynXbSBdR9zH0hcmc/hQBi5XDB0GDKd6oxNCdUhSzE7smkjr7B288d+hZGdnE1+hMueMnAjAttV/cN3TM3n55ZfZvn07AwcO9G539dVXExsby8yZMxk2bBgTJkzgwgsvJCYmhnbt2uWYFlei1yWXXMLq1avp06cPMTExnHDCCUyePBmAX375hWnTpuW4HURKSgq1atXKsY+xY8cybtw4zj//fADatGnDTTfdBMB1113HP//8w7Z/NrMnZQM/v/cqp/W/kSYddV1SpDmxayKpWzbykU+setY9pX9RPkvjx4/3+1mSyHHccccxbtw4RowYQWZmJi1btuSWW24Bcn5WypUrx+OPP84DDzzA/v37ady4MUlJSSGuvQQqLr4s3W99gAceeIDNu9OpUrchZ910L3t3buOTh0bR55HXvLcGSUlJ8U4w4jF06FAmTXqIiy66CIC6devy4IMPhuJQSi0lbEXgufkfONP1n3feeQDExsbywAMP+N1m4cKFfpcnrdzO8R27c3zH7kGvp4Qnl8vFyJEjOdBtYJ51tU9qyaPuBlCtWrUKvJfWpEmTiq2OUnq5XC5Gjx7N6NGj86w75ZRT8ty778MPP8xTrl69ekyfPj3H8KOn/zoAHKDZzVN4uX0tDU2KAi6Xi1OvGMapVxwZltS2rZOQFeWz9MILLxRvRSUs9OrVy+9M2rk/K506deKDDz4ocF+V69Sj39Nzg15HOXb1Wp3KtA8+yPMb0OeR14AjtwY5/oYHWQd5yj3wwIRCn6Nv37707ds3WFWOKBoSKSIiIiIiEqaUsBWTQCaQEBERKQ0K+k3T752ISPHSkMhi4uka9mdM+1p+l4uIiIQj/aZJMHiucxKRolHCJhImCvsh0w+dBIM+RyISKkr8RY6OKzs7ZEMZSvUYikAaPQUFJX/r/l7+NfMm38W2dX8FpY4SWrWPb8Yl90zlxNPP8i7L770vbJ1nfSkQCZlAqY5NgSjscxboZ1QxKzLUPr4Zb894ge+rtcm3TGGfi1IgEmITREB8CiS+KLaED9+2zLG0YUa3rZlvu1knEguPT+phO0oFnSWCo/sBe2/SHezYsKbwglIqbFv3F+9NuoPR738f6qqIFAvFrMiwbd1f3HDDDQx5+5tQV0UEUGwJJ8Fqy6h39dho0pEC6EJqESmNFLukJBX2edPnMbro/RYJvqjuYSusC7akzwb0ufdRPki6m3/Xrgr6vqXk1WnanIvHTAna/gr6vGo4gfgqqdilmBUZ6jRtzgsvPM/Rnj8vjhEnUnoFI/4otoSPYLdl/NE1/IWL6oQt3H5kTjz9LEbNXXrUY4QDuQZK2xbvtoXt91gU9Hkd3bZmgdsq2JU+Bb1nh7KyKRMG76cnZkF4fh9L47ahqtM57WvxfTHFLp1skqLyjS0e4fi9ibRti7MNU5Bwa4+Ho5AkbBMmTIi77bbbAi5/LA2XwtZn70vNd93u3XH5ri9oXai2Dcc6Rdu2oapTemocz/2+M99th55c/ai/Q0VpUE2bNu14YNO4ceMyA9ogzAQzNkHBr20gSVd+7+lNrWoU+H7f1KpG1Hz2I23bcKzTsW5bUHwqKDZBwd+TaIpNUPT4VJDijl367JfObcOxTgDbd8YWSx4QzPbPsQgkPoVklsgJEyYcD6wt8ScWkZLQdNy4cetCXYmjodgkEtFKbWwCxSeRCFdgfArVkMhNQFP332t9/o5G0X78oNcg0o5/U6grcAx8Y1N+Iu39yi3Sjw8i/xh1fP6V5tgEajt56NijU6Qfe8HxKTs7O6T/xo8fnx3qOuj49Rro+PVP71d0HF80HKOOL/L/RfNroGMPfT107CX/Lxym9Z8Q6gqEWLQfP+g1iPbjL20i/f2K9OODyD9GHV/ki+bXQMcenaL52ENzDZuIiIiIiIgULhx62ERERERERMQPJWwiIiIiIiJhKixunG2MqQ/MBFoAqcBN1tovQ1urkmOMOQT87bNombV2UKjqEyrGmAuBj4Cm1tp1Ia5OiTLGXAbcB5QDtgM3Wmt/C22txB9jzH+AB3MvBqpYa9NCUKWgi/SYHE0xN1LjarTFTGNMD+ARoCKwAbjWWptnVjljzGrABRxyL/rHWtuzxCoaJIEcrzGmLfAcUIsjn4FfSrquwRbgsUfE+5ybMaYMMBm4A2iUz2c8It/3woRFwobTMPjYWnue+4N6MxAxjYOCGGMqAVnW2hahrksoGWMqAElA/ncDjlDGmMbA80AHa+16Y8xtwAygY2hrJv5Ya+cAczyPjTGXA1dESrLmFrExOZpibqTG1WiLmcaYisBbQKK19kdjzGicButFfopXA9pYa7eUZB2DqQjH+xZwj7X2ffeJtNeBNiVb2+AqwrGX+vc5H/OAFYWUibj3PRAhHxJpjGkEnAY8BWCt/cJae3loa1WiqgK7Q12JMDAemAVEUqM3UIeAAdba9e7Hn+P02EiYM8aUw+ltuyvUdQmWKIjJ0RRzxxOZcTXaYmYPYI219kf34+eBBGNMZT9lI+HzXejxGmPaANWste+D90RaHWPMySVe2+AK9L2OhPfZnwestffntzKC3/dChUMPW1ucm+ElGWN6AynASGvtytBWq8RUA2KNMR8CzYB1wChr7f9CWqsS5P4CnodzdnR4iKtT4txnyLYAGGPigME4Z5kk/F0HLLXW/l1oydIj0mNyVMTcSI6rURgzm+MzhNdam26M2QGcBHi/l+7emVjgFWPMKTjDxcZYa78p4foeq0COtzmwJtd2a3CGcZfm73Khxx5B73Me1trvCikSqe97oULew4a7Wxf40lprgNeAd91BOBrsA94BbgdaAguBedFy/MYYF84ZpFustYcKKx/J3MN6tgJdgbtDXB0phDEmBmec/SOhrkuQRXpMjviYGy1xNYpiZgXgQK5l+3GucfIVC7wMPGKtbQk8CXxojKle/FUMqkCON9DXpLQJ5Lgi5X0+GpH6vheqxH6gjDF9gal+Vj0FbLXWes6OvYTTAGoO/FFC1St2BRz/ZGvtTT7lnsAZxhItx/8w8Ie19usSrlKJK+Qz8LK1dpox5kmgP/CNMaaltXZ/ydZSPAp7v4DOQLq19veSrVlwRHpMjoaYG+lxNdpiZgHH+xzO5Cq+KgDpvgustanAUJ/Hc4wx9+PEqgXBrW2x2kvhxxtImdKo0OOKoPf5aETq+16okN842xjTGvgaqGGtzXIv2wWcYa21Ia1cCTDGVMM59jU+y9KAU621f4WuZiXDGLMA6ABkuRfVxrlA/nJr7aKQVawEucdeN7DWfuazbAfQ01r7U+hqJgUxxkwGXNbaMaGuSzBFekyOhpgb6XE12mKmMaYXMNFae5r7cW1gE87neK9PuYpAQ9/vqZXNIq0AACAASURBVDHmV+B2a+2nJVztoxbI8RpjWgJLgOOstVnuHvJ/ceLUqhBV/ZgFeOwR8T4XxBiTjZ9ZIiP1fQ9EyIdEuqfh/Ru4HsAY0w/nQspIuiakIKcAi40xxwEYY4bifDlzj9GNSNbaXtbaOtbautbausBG4PRIaFQUQW3g/9xTqWOM6QKUIUo+A6VYWyJwzHwUxOSIj7lREFejLWYuAhoaY85yP74F+Mg3WXM7DvjWGGMAjDHnuZd9X2I1DY5Cj9da+wfO9bVXuhcNAtZGQKM9kPc6Ut7nIovg971QIe9hAzDGHA+8jROE/wVGWGt/CGmlSpAxZiTOReFZwGac44+4hmAgjDHrgO42gu4XFAhjzM04n4EY4CDOlLWRPrShVDPG/ALcaa1dGOq6BFukx+Roi7mRGFejLWYaY7oD03Cu1VkNDLbWphhjGgALrbWt3eX6A/fjXOe0C6fXpdRNRuHveHGOyfdY2wAvAjVxrmW83lr7ZyjqG0wBHntEvM++3CfRlnge4pwkzAR6EgXve2HCImETERERERGRvEI+JFJERERERET8U8ImIiIiIiISppSwiYiIiIiIhCklbCIiIiIiImFKCZuIiIiIiEiYUsImIiIiIiISppSwiYiIiIiIhCklbCIiIiIiImFKCZuIiIiIiEiYUsImIiIiIiISppSwiYiIiIiIhCklbCIiIiIiImFKCZuIiIiIiEiYUsImIiIiIiISppSwiYiIiIiIhKm4ED53dgifW0SKhyvUFQgCxSaRyBMJsQkUn0QiUaHxST1sIiIiIiIiYUoJm4iIiIiISJhSwiYiIiIiIhKmlLCJiIiIiIiEKSVsIiIiIiIiYUoJm4iIiIiISJhSwibHLDOr4FmGC1svIlKQgmKI4ouISOipLVi8XNnZ/8/efYdHUe1/HH8nhAQChBpAqtShiSCIFxBRQBIgiMCN0qR4Ba8gTcRfEGkCijQRsAGXC0oTpSlKonhBFKRjl0GagApKKAkQQsr+/liypmw2m5BNdjef1/PkgZ05s/ud2Z3vzJlz5ky+bUB9c15kxqHzmc6LaFouDyORfOYNzzpSbnJDmeUY5RdxkjfkJlB+Ejemc8Ec03PYREREREREPJUqbCIiIiIiIm5KFTYRERERERE3pQqbiIiIiIiIm1KFTUREREREHNJIj/nHL78DEO+XmGzBz9f+ADiO5omIiIiIe/Dz9dGIvflEFTZxOe3gIiIiIiI5oy6RIiIiIiIibkoVNhERERERETelCpuIiIiISAGnQUXcl+5hE6docBARcUdZ5SblLhER5zgacwA07kB+UoVNnKKBQ0TEHekEQ0REvJ26RIqIiIiIiLgpVdhERERERETclLpEShrjx4+nYsWKDB8+PNfeMzo6mqjpI4n98w/++draTMutXbuW5cuXk5SUROXKlZk+fToVK1ZkzJgx/Pjjj7ZyV65coWnTpixYsMA27dy5c3Tu3Jnx48fTo0ePXItdRHJf+jyTk/vMEq5fY9fimbyz+3/0X7kj03INGzakatWqtteNGzdm5syZAMyfP59PPvkEi8VC/fr1efHFFwkKCgJg1apVLFmyhISEBB544AEmTJhA4cKFs7uqIiJuzxXnfin2vruQX/dsI2LnFxnmJSYmMnv2bLZv3058fDx9+/bliSeesMX0xRdfULx4cVv55cuX8/vvvzNu3Lg073P69GnWr1+PYRi5Hr+7UIVNXCr+Sgx9+w6ldP0WxP75R6blvvvuO+bPn8/69espX748r7zyCrNmzWLOnDnMmTMnTdnBgwfTvXv3NNOmT59OyZIlXbIOIuJaObkP7eOJT1G1aUuH75tw/Ro+Pj5ERkZmmLd582Z27drFxo0b8ff3Z9SoUbz11ls899xz7N+/n2XLlvHBBx9QokQJIiIiOHjwIPfcc0/2V05EpIC68OsvnNqf+QW1tWvX8u2337Jp0yZu3LhBeHg4TZo0oXnz5sTGxhIREUFYWFiaZSpUqJAmp3/77bdMnTqVunXrumw93IG6RHq4M2fOcO+997J48WJCQkIICQnhm2++YciQIbRp08Z2FWLLli2EhYURGhpK//79OXXqFAAXL17k8ccfp127dgwZMoTY2Fjbex89epR+/foREhJC165dOX/s5xzF+MYbb1C12b0Oy5QpU4ZXX32V8uXLA9C8eXOOHj2aodwXX3zBjRs3aNeuXZppcXFxtGjRIkfxiYhjeZFn1o3qxYaxjzmdZ1oNHkvd9t0clrlx7aqtxSy92rVrM3nyZIoUKYKvry8tWrTgxIkTAKxfv55HH32UMmXKULhwYebMmaPKmoi4DVfm5EtnTvDJlGHZzsnpWZKT2bVkNnc9OiTTMrt27SIsLIyAgABKlChBz549iYqKAiA2NpYSJUpk+TnTp08nIiICHx/vHg1YLWxe4OLFiwQHBxMVFcWIESMYPXo069atw8fHh/vuu4/u3bszYcIE1q1bR/Xq1Vm6dCkTJ05k2bJlLF68mNKlS7N06VLOnDnDQw89RJ06dUhOTmb06NH079+f8PBwDhw4wBPDRhC+cB0/RX7Akc832T5/e0AhLsQn0fJfY7mt4V1pYgsoHkTNmuVgV8bKV2pVqlShSpUqttc7duzgzjvvzFBuwYIFPPfcc7bXcXFxzJw5k7feeovXX389p5tQRLLg6jxzrPYDnDO/4/PZERnyTEqOAWx5pnydRg5b7QFuXI0lKSmJf//735w8eZLKlSvz/PPPU6tWLerVq2crFxsbS2RkJN26WSuAhw8f5rbbbqNPnz5ER0cTEhLCyJEjKVSokIu2rohI9rgqJ2+fP4kGoeHUbdc1Q04OHbfZlotT2Dv3AzC3bqJ0tVoE126Y6Tr4+PiQnJxsex0YGGirVMbExLB69WpbL6vHHnuM8PDwNMtv376dgIAAmjdvnuPt6ClUYfMCiYmJhIaGAtiahMuUKQNAcHAwe/fu5Z577qF69eoAhIeHM2vWLBISEti/fz9DhlivflSpUsXWSnX8+HFOnTpFz549AWjWrBlFgkrx55EfaNSlF4269LJ9fkTTcg67M2XXxo0b+fLLL3nvvffSTN+9ezcWiyVNS9rrr79OWFhYmntURCT3uTrPzPz2AhWMxnbzTE5zjF9AEUJDQxk0aBDVqlXjnXfeYejQoXz88cf4+VkPf2PGjGHr1q106dKFhx9+GLBW4A4cOMCiRYu4ceMGAwYMoGrVqhlOFkRE8ourcnLM2TPUub8LQIacHPHC007l4muXovlxy3uETV3EjWtXrfHauVe5VatWrFmzhi5dH8LHksyHH35I0aJFAWjTpg21a9emS5cuHD9+nH79+lG9evU054BLliyx3fPm7VRh8wKFChWiSJEiAPj6+hIYGJhmnr+/f5puQSVKlMBisXDp0iUuX76cpsk5pVxMTAxJSUl07tzZNi8uJob42MsOY9m/+k1O7bP2V24zdALBtRtka11WrlzJsmXLWL58OcHBwWnmbd68OU1f5iNHjvDll1/y/vvvZ+szRCT7XJ1nUq7a3oi7mmWecVaJ8pWImDLF9nrAgAEsWLCAkydPUrt2bQDmzJlDfHw8s2bNYuzYscybN48SJUrQpUsX283uPXr04KuvvlKFTUTchqtysiUpiQ3P9rXNcyYn71/9JqHjdnIhPok2Qyfw4yfv0aTnIAKKB9kqbPbuVU6u8wB+tU16P/oI5cuXp1WrVhw7dgyAUaNG2crVqlWLLl26sH37dluF7ezZsxw5coQ2bdo4v9E8mCpsBUDZsmU5dOiQ7fXly5fx9fWldOnSBAUFpem7fOHCBapWrUr58uUpVqxYmhs7U3a0Hz5ek2mXyOa9n6J576dyFOf69etZuXIlK1asoEKFChnmb9++nUGDBtleb9u2jbNnz/LAAw8A1qvin332GefOneOpp3IWg4jkzK3mmfQH8tR5xl6XSGfEX43l9Ok4Wwt8SvcbPz8/vv76a8qVK0edOnUICAggPDycvn2tJylVqlThypUrtvfx9fVVd0gR8Sg5zcmFA4vRY+7qDO/3w8drMu0S2bz3U0TMnGDL46cP7uTsjwfZ9+5CkpOTuXElhtatW9P51fcpVNjftqxvIT/u7vc0EU0nA7Bw4ULq1q1LcnIyR44cSdN13WKxpBmpd/v27bRu3brA5GYNOlIA+Pn5sX//fk6fPg3AmjVraN26NX5+fjRp0oStW7cCcOrUKQ4cOABA5cqVqVixoq3CduHCBbbPn0TC9TgadelFj7mrbX+RkZH0mLva6ZMoe86dO8fcuXNZsmSJ3cpadHQ0Fy5coEaNGrZpTz75JHv27GHnzp3s3LnTNqy/KmsieS838sz1mEt280xKjslunrl46hiPPfYY589bTyLWrl1LxYoVqVq1KgcOHGDGjBncuHEDsF4AShkSulu3bqxdu5bY2FiuX7/Ohx9+SMuWjkekFBFxJznNycXKBHNy9zYgY05OnYsd5eTHlm2l19sf0evtj+g6fQnFypZn586daSprAMe+imL7axNJTk7m3LlzbNiwga5du+Lj48PTTz/N5s2bAWtrWlRUFPfdd59t2cOHD1OrVq3c33BuSi1sBUDFihWZOnUqQ4cOJTExkcqVKzN16lTAWukZPXo07dq1o1atWnTs2BGwXomeO3cukydPZt68efj6+lKp/T8pXKRotj771IGvCB33Fn/GXCPuUjTrn+lNYOlgQifM59e9XzBu7X5efvllNm7cyNWrV3n88cdty/r5+aXZWcuUKYOvr64xiLijW80z5pk54ONLoy6PZplnzp8w2bFgMsmJiSQlJbH+md4A9Ji7mr+O/sTBtYsJef5VKtZvwsCBA+nbty8+Pj6UL1+ehQsXUqhQIQYPHsxLL71E165dbfFPmzYNgPbt23Ps2DHCwsIoUqQI7dq10/MdRcSj5DQntx3xIl8vmcXBtYuczsnZ8VPkB1y/fIG7Hh1Cteb3cXLPdjp06ICfnx9jxoyx3XM3f/58pkyZwoIFC/Dz82PkyJE0a9bM9j5nz55N0wLn7XwsFkt+fXa+fbDkTGY3mmY1IICj+faeryQezRvG1VVuyge3kkMcLfvsnWUzfSh3Th7YLR7LW75o5SdxKVflYp0LOpRlflILm4iIeC1HD+XWSYKIiHgC9S8TERERESkAEpPVSOuJ1MImIiIiIlIAqNeBZ1ILm+SrrK706EqQiHfQviwiIpIzamGTfOXoSg/oao+It9BVXRERkZxRC5uIiIiIiIibUoVNAHVXEhERERFxR+oSKYC6JoqIiIiIuCO1sImIiIiIiLgpVdhERERERETclCpsIiIiIiIibkoVNhERERERETelCpuIiIiIiIibcjhKpGEYA4F+QDlgN/CKaZon0pWpAPxummYhVwUpIiIiIiLeJzHZgp+vT47nFwSZVtgMw3gKWAh8BnwLdAH6GIbRzzTND9MVL9hbUUREREREsk2Plsqaoy6Rw4DRpmmGmqY5AKgLrAPeNwwjLF1ZPXVZREREREQklzmqsN0OfJTywjTNONM0BwFLgfcMw2jt4thEREREREQKNEcVtt+Apuknmqb5FNaWto8Nw2jjqsBEREREREQKOkcVtlXAIsMwhhuGUSTdvIHAauBTYIKLYhMRERERESnQHI0S+RJQAZiNtfJ2PWWGaZrJwFOGYRwCXnZphCIiIiIiIgVUpi1spmkmmKY5FAg2TTM6kzKLgGrAAy6KT0REREREpMBy+Bw2ANM0Y7KYfxXYkWsRiYiIiIiICOD4HjYRERERERHJR6qwiYiIiIh4icRkPR7Z22TZJVJERERERDyDn68PMw6dtzsvomm5PI5GcsMtt7AZhlHCMIyncyMYERERERER+ZvTLWyGYfgB9YAyqSb7AC2BScDC3A1NRETEdRKTLfj5+uR4voiISF5wqsJmGMYdwIdYh/C3Z32uRSQiIpIHHHUbAnUdEhER9+BsC9tc4BtgEPAx0B9IBvoB0aZpDnFNeCIi4gnUGiUiIuIazlbYmgGtTNM8bBhGMnDINM3jwAbDMF4zDGOaaZovuC5MERFxZ2qtEhERcQ1nBx3xBa7d/P9VoGyqeQuBf+VmUCIpHA1Nq2FrRURERMTbOdvCdhj4t2EYkwETeALYd3NeHaBI7ocmuc0TuyxpaFoRERERKcicrbC9AqwFlgOvA2sMw+gI/AY0B9a5JjzJTar8iIiIiIh4Fqe6RJqmuQFoCJw0TXMt8AhwALgATAU06IiIiIiIiEguc/o5bKZpHkn1/w+AD1wSkYiIiIiIiAAOKmyGYSzKzhtpaH8REREREZHc5aiFrSOQehi+MkAJ4BJwBSh583U0cNpVAYqIiIiIiBRUmVbYTNO8PeX/hmF0BsYCI03T/C7V9HuwPlR7ugtjFBERERERKZCcfQ7bTOC51JU1ANM092CtyM3K7cBEREREREQKOmcrbLWxdoO05xJQM3fCERERERERkRTOVth+AV4xDKNq6omGYVTG2h3yRG4HJiIiIiIiUtA5O6z/SGAjcNIwjHPANayDjpQB4oGerglPRERERESk4HKqwmaa5v8Mw6gJ9ADqYx0d8ipgAhtM0/zDdSGKiIiIiIgUTNl5cPZ5YJFhGKWAQOCKaZoxLotMRERERESkgHOqwmYYRiAwA3gUKJdq+h/ACmCSaZrxLolQRERERESkgHK2hW0J8BCwEtiHtTtkcaAVMAIoDzzuigBFRETyQ2KyBT9fn2zPExERyU3OVti6AoNM03w/3fTFhmF8CryFKmwiIuJF/Hx9mHHovN15EU3L2Z0uIiKS25wd1v8GcCiTefuAxNwJR0REREREMpOYbMnvECSPOdvCtgLoB0y2M++Rm/NFRMSLqRugiEj+c9T6D+oB4I0yrbAZhvF8qpfRwGDDMNoBu4EYoBjQBqgOzHFlkCIikv/URVBERCTvOWphm2ZnWmXgXjvT5wDzciUiERERERERNAAUOKiwmabp7P1tIiIiIiIiuU69O5wfdERERERERETymLMPzm6MtctjE6CkvTKmaRbKxbhEREREREQKPGdHifwvUAjrfW0XAI0nKiIiIiIi4mLOVtgMoIVpmj+5MhgRERERERH5m7P3sH0LlHJlICIiIiIiIpKWsy1sQ4BXDcP4D9bK27X0BUzTPJWbgYmIiIiIiBR0zlbYagGNgFV25vlgvadNg46IiIiIiIjkImcrbK8B3wNPo0FH3FZBeXigiIiIiEhB4WyFLRjoYJrmMVcGI7fG0YMFoeA8XFBERERExFs4O+jIp0BTVwYiIiIiIiIiaTnbwrYCmGAYxr1Yu0bGpS9gmqa9+9tEREREREQkh5ytsH1w8987M5lvwf6AJCIuk9U9e7qnT0REREQ8nbMVthoujUIkB3TPnoiIiIh4O6cqbKZp/prZPMMwygMLgEdzKygRERERERFxvoUNwzAaAO2AMqkm+2AdjKRDLsclIiIiIiJS4DlVYTMMozvwHtYKmi+QAPjfnH0MmOCS6ERERERERAowZ4f1nwhMA4oC14AGWFvaRgJHgGWuCE5ERMQdJSZbbmm+iIiIs5ztElkHWG6aZqJhGBbA1zTNS8ACwzDigUVAuKuCFBERcSca9EhEXEkjXUtqzlbYrmJtXQO4CFQDjt58HQXMzOW4REREREQKJEcXhXRBqOBxtsK2D5hrGEZfYD8w2TCMY8DvwGNYu0mKiIiIiIhILnK2wjYO+AgoBbwMbAeOp5o/MXfDEhEREREREWefw/a9YRg1bv7/xM0h/h/COlLkHtM0d7owRhERERERkQLJ6eewmaZpSfX/U8BCAMMw/A3D6Gya5icuiE9ERERERKTAcnZYf0dKY+0uKSIiIiIiIrkoNypsYH2gtoiIiIiIiOSi3Kqw6QmhIiIiIiIiuSy3KmwiIuIFEpN1/U1ERMSdOD3oiIiIeD89rFVERMS9ZFphMwzjUyffwz+XYhEREREREZFUHLWw+ePcvWkWYEfuhCMiIiIiIpK1xGQLfr6Zj32Y1XxPkWmFzTTN+/MwDnGSt/zwRERERERuhaNu/OA9Xfl1D5uH0f0lIiIiIp5NF+AlO1RhExERERHJQwWlZUhyh4b1FxERERERcVNqYfNyR3ds4fsPV5AQF0d063soFT6aQoX9OfZlFF8vnUNg6bIAbA8oRI3ug6neoi2H3v8Px76MpGTl22n/7Mv4FrL+TI599Sl/Hf2RfwwcbfezvnxjGiUqVqFJj4FpphuGwSOvb6BY2fK8/3RPLFjw8w/AkmxhZ1BRbgvtS81WHQDSzE+4HsdPdWpS4v5/UrVpK9dtJBG5JUd3bKHLC2v442IsFes3ofWTERnyzPaAQlyIT6JZr39nyDPPrlhse6+c5pn/9mptN89s8/flcnIhGj/cP0Oe2V4ikHOXrxB0W1UahfVWnhERt5ZyTheZFE9grcZ2cy04PqdLkZe51s8/gE+S4vEpV1m5NofUwubFLp4+zt53F/BgxFzCF64jOTmZ7z9cCUD81VhqtOpAj7mr6TF3NZGRkVRv0Za4yxf5dd8OesxbQ7GywZw+sBOAK1eu8MPm1dz1yOBbjqvt05PoMXc1PeetYf78+exeOoeLp49nmP/oGxt56qmn2LV4Jsd3fnbLnysiuS8lzyxZsoTwheuwZJJnIiMj6TF3td08s23bNgAS4q7mep6JiorigVHT7OaZyMhIHn1jI3c+PEB5RkTcWupzum3btmWaa505p8vrXNtj7mp27NihXHsLVGHzYn/8cIDbGjajeLkK+Pj4MGDAAH7dux2w7qz+gcUzLBNz9gylqtyOr28hytxel0u/nQRg/vz5NOrSy+4yt6JGjRrc1qg5f/xwwO78li1b0vLxMexb+ToWizNPmRCRvJSSZ2677TZ8fHxo0PmRbOeZY8eOAXBw7RKX5JmSlao5zDOV7miuPCMibi39OV1Ocm3KOZ1yredRhc2b+YAlOcn2MjAwkJizvwFw42osfx75ns0vDGb9M72ZMWMGSQk38PH1gZs7kSU5GR/fQlw4dQzTNPEvXoLPXnmWnYtmkHgjPtfCTE5KxLdw4UznV72rNTeuXiHmj1O59pkikkvS5ZnCRYrazTOhoaHsfXeB3Tzj6+vLhVPHuHjqmPKMiIg9TubarM7pTNNUrvVAuofNi1Vq1JyD7y3i4unjlKxUjZUrV5KUcAOAMtXrEFCiJA06PULSjXi+e/MFkq+soH5oOBdPHyfxRjxnfzpE3XZd2bN8Hotenkz/oSMJm7aYn6M+4PjOz6j7QFiGz/xpy/sc/yrK6Rh//PFHzv38DfcMGJlpGR9fXwoXKcqNa1eztf6OhszVcLoiuSMlzxw5coTkpCB+/nS93TwzvF5xuj72BN9/mDHPNBzSj5Vz5nHPgFF8MX9StvJMyr1xjpw/Ybosz2RG+UdEclPqc7rEO0plmmuzOqebPn06LQaMzHauBWu+dSQ/cm1BoQqbFytVpQb3DBzN9tcmUqiwP8MeexT/Ytbm71ptQmzl/PwDGDhwIFPmvUGTno9TP6QnH0YMokK9O7l24S/K3m5QpkwZChcNpHCRopSpXofTB74COzt3g07hdm9QTe2LhVNsg458V7k894+aRvFyFTNdj8Qb8cTFXKRIUOlsrb+eWSfieil55plnnuFCoi917u9iN8+ULFmSBl0e5ftNKzLkmXPnzlH2doMiQaWynWcimpZjxqHzmeaZbf6+xAUEuSzPZEb5R0RyU+pzukeWBVKqRUiOzukaNmzI1RzkWrDmLsMw0pTJ71xbUKjC5uXqtO1MnbadAaibeILSVWsCEHvuNwJKlLT1X7ZYLLbRIOs92J16D3Yn/moskVNH0HnSQpKTk/9+U4sFH9+c96Zt+/QkKtS7E/j7ZMuRX/dsJ6hCFUqUvy3HnykirlOnbWf+M6o/Mw6d5+zP32SaZ8gkz7w75xnuGjuPhLhrf79pLuUZZ3IMKM+IiPtLOaeLaFqOUau25uic7rV1q5m55/Tfb6pc6xF0D5sXizl7hk3/N4D4q7EkJyby1ltvUftm5e3bDcvZv+oNLBYLiTfiWb16NVWatkyz/MH3FnHHQ30pXLQY5cqV4/rliyRcv8ZfR3+iZOXb82Qd9uzZw75Vr3N3v2F58nkikj0peSYmJobkxES+2/iO3TwTHx/P4c822s0zgwcPpnDRYhQpVSZf8swfPx5UnhERt5b6nC4hISHTXJvVOV3x4sWVaz2QWti8WFDFKlRr3oZN/zcAH3zo0+MhEm7u3Hf3e5qdi2awbnQvfHx86N6xHZYOvW3LRp84Qswfp2n5+BgAChWyPltj03MDCCxbng5jZ7os7pTm9YS4axysVpl7h4zLkHhExD2k5Jlu3boRcyOZGq072Fr1U+eZ7UX8KF2/BY3CMuaZzp07892h8/j65m2eCV0+i3OXYilWtrzyjIi4tdTndF8E+FGm+QN2c60z53R5nWv9/AP4OPE6lqByyrU5pAqbl2sa/gRNw58AYEyq5uqA4kG0e+YlW7n0Tdlla9QlZPy8NO9Vt11X6rbrmulntRn6gt3ppmna3jt84TqH8aaf72wTu4g4xxUDXjQNf4KIlyIy7Kup84y9fTk388ygNTtt/3c2zyi/iIgnSTmnS5+78vKcLie51l5Mkj2qsImIFCCOBsMADYghIiLibnQPm4iIiIiIiJtShU1ERERERMRNqcLmhhKTLfkdgoiIiIjcAp3PSW7RPWxuSA9cFREREfFsOp+T3KIWNhERkTzk6Kq7rsiLiEh6amETERHJQ7rqLiIi2aEWNhERERERETelCpsUSFl1O1K3JBERERHP5i1d0NUlUgokPTxYRERExLt5Sxd0tbCJiIiIiIi4KVXY7Fi1ahVdunQhJCSEf/3rX/zxxx8ZykRGRhIaGprmzzAMrly5gsViYfbs2YSEhBAaGsqcOXMyLH/t2jXatWvHggUL8mKVkd83uQAAIABJREFUJAvJiYnsfXch/+3VmqvRf9otc/jwYXr16kVISAi9evXi8OHDGcqsWLECwzDSTPvhhx9o374948ePd0ns4t4+/vhjwsLCCAkJYfjw4cTGxtot9/nnn9OtWzc6depE7969OXLkiG3esmXL6NSpEyEhIYwfP54bN24AcP78eYYNG0ZISAghISHs3LkzT9ZJct/JPdvY9H8DCA0NzfD9p9i7dy/h4eGEhobSvXt39u3bZ5vn6Lj12Wef0bFjR+677z6GDx/OlStX8mSdRPLa8uXL05yXdejQgXvuucdu2aNHjxIeHk7btm3p2bMnR48etc07deoU3bt3Z+DAgRmW++qrr2jZsiVvvPGGR3WpE6vDn25gw7N9WTe6V6bn+OD4mDx//nxCQ0MJCQlh1KhRxMTEAK49JqvCls7BgwdZunQpq1atIioqitq1azNjxowM5UJDQ4mMjLT9jRgxgo4dO1K8eHE++eQT9u7dy0cffcSmTZvYtWsXUVFRaZZXRc29bJ39f/gFBDgsM3r0aJ544gmioqIYOHAgY8eOTTP/zz//ZO3atWmm7d27l+eff54777wz12MW9/f7778zdepUFi1aRFRUFMHBwcybNy9DuXPnzhEREcGcOXPYsmULYWFhTJw4EYBvvvmGd955h/fee48tW7YQHR3NihUrAJg2bRrVqlUjKiqK+fPnM3bsWJ2Me6Ar58+ya8ls2j/7iu1i4PPPP5+mzPXr1xk+fDiTJk0iMjKSYcOGMWrUKCwWi8Pj1unTp5kyZQqLFy9m+/btVKxYkW3btuXHaoq43IABA9Kcmz366KN07949Q7mkpCSefvppBg8ezBdffMFjjz3G+++/D8Dx48d58sknueOOOzIs99FHH7Fw4UIaNGgA/N3dLrM/cS/nzO/5YfMqOk9+k56vrsn0HN/RMXnz5s3s2rWLjRs3smXLFpKTk3nrrbcA1x6TVWFLp2zZssycOZOSJUsC8I9//IMTJ044XCY+Pp7XXnvNdgIfGRlJ9+7d8ff3JyAggB49erBlyxZb+cOHD7N79266du3quhWRbGnScxB3PTI40/mmaRIbG0uHDh0Aa4U9OjqaY8eO2cpMnz6df//732mWK1OmDKtWraJGjRquCVzc2ueff07Lli2pVKkSAH369EmTC1L4+fkxZ84cateuDUCzZs1sV3sjIyPp3LkzQUFB+Pr60rt3b9t77Nq1i549ewJgGAYNGzZk9+7duurrYXwL+dF2+CSKB1cEoGXLlhmOOwkJCUyfPp1GjRrZypw/f56YmBiHx60PP/yQjh07Ur16dXx9fRk/fryOPVIgnD9/ntWrVzN06NAM8w4dOoSfnx8dO3YE4OGHH2bcuHEABAQEsHz5cpo0aZJhuZo1a/LOO+8QHBzs2uDFJYqWLE2bYRMJKB4EZH6O7+iYXLt2bSZPnkyRIkXw9fWlRYsWtvfI7JicG1RhS6d69ercddddgPWK5kcffUT79u0dLvPBBx9w1113Ua1aNQBOnjxp+z9AtWrVOH78OAAWi4XJkyczYcIE/Pw05ou7KF+nkcP5J0+epEqVKmmmVa1a1fa97tixgytXrtC5c+c0ZWrXrk3x4sVzN1jxGPZyQXR0NJcvX05TrmzZstx333221zt27LC1yqZ/j9S/Ox8fH5KSkmzzAgMD+fXXXx1e9RX3E1i6HJUbtwAgMTGRDRs2ZDjulChRwnbByGKx8MEHH9C8eXNKlizp8LhlmiaFCxdm0KBBhISEMHHiROLi4vJw7UTyx3/+8x969OhBUFBQhnmHDx+mUqVKREREEBISwpAhQzh9+jQAlStXpnz58nbfs2HDhvj7+7s0bnGdoIpVqGBYW04Tb8Rneo7v6Jhcr1496tWrB0BsbCyRkZG0a9cOyPyYnBtUYcvEzJkzadWqFbGxsTzxxBOZlktOTmbp0qU8/vjjtmlxcXEEpOpeV6RIEdsBcs2aNdSsVdt2cBXPkP47BetVuGvXrnH9+nVeeeUVJk2alE/RibuKi4tLc3D39/fHx8fH4Qnz119/zfLly21Xe9O/R+p80qpVK5YvX05SUpKt5T4+Pt5FayOu9uMna2nVqhX79+/n2WeftVvm4y1buPfee1m9ejVTpkxJM8/ecSsmJoZdu3Yxe/ZsNmzYwOnTp23dd0S8VWxsLJs2baJPnz5258fExLBv3z5bj4X69evz3HPP5XGUkl/2rXydNU+GZXmODxmPySnGjBnDvffeS7Vq1Xj44YcB1x6TVWHDOlBEyg2qn332GQDPPfcce/fu5e6772bQoEGZLnvo0CECAwOpU6eObVrRokXTfEFxcXEEBgZy/vx5li9fznNjn2XGofN89cc1vvrjmq6Ae4DAwMAMO93169cpVqwYr7/+OmFhYWlaQaTgSp1Pvv/+e9sAIWDtPm2xWAgMDLS77NatW4mIiOCtt96ydcUoWrRomvdIyScAL7zwArGxsXTu3Jm33nqLNm3a2L2aLJ6hYedH2LNnD6Xb9qBTj0eYtue3DMeHLp06sXPnTiZNmsSAAQP466+/bMvbO26VKFGC9u3bU7ZsWQIDA+ndu7cGpxGvYu8cbtu2bTRu3JgyZcrYXaZEiRLUr1+fO++8E19fXwYNGsShQ4e4du1aXoYueWDFihWsf6Y365/pza97vwDg7r7D6LNkS5bn+PaOySnmzJnD3r17CQwMtN0S5cpjsvrkAf369aNfv34AfPfdd3z77bfceeed+Pn50adPH+bMmUNMTIzdjb59+3batm2bZlrNmjU5fvw4rVu3BqwjEdWuXZtdu3YRHR1Nly5duJqQTMJ161XyuMvRtHpCV3bcWc2aNTl58iTJycn4+vqSmJjIyZMnqVWrFq+++ioXL160DQQB0Lp1a1atWkX16tXzMWrJD6nzycqVK9P0X//ll18IDg62m0t27drF9OnTWbp0KbVq1bJNT8knKVLyCVi7baQewKh///7UrVs319dJXOvSbye5duEvKt1xNz4+PtRs/SC7/zuXy7//Stnbrd/nlfPniD5hQtMegPUetgoVKvDtt99Svnx5LBaL3eNWlSpV0tz07uvrS6FChfJlPUVcIXXOTWHv3Cy1KlWqpBmxN2Wf8PVVO4a36devH2cahgLw17Gf+euXHwmu0xDfQo7P8TM7Jn/99deUK1eOOnXqEBAQQHh4OH379gVce0zWLzOd48eP22rIYL1Kc9ttt2VaQz58+HCaLxKgU6dOfPDBB1y7do2rV6+ybt06unTpwkMPPcS+ffvYuXMnvd7+iEZhvWkU1luVNTeUftCG2rVrExwczObNm0lMtrBx40aqVKlCjRo1+Pjjj9m1axc7d+60XbneuXOnKmtChw4d2Lt3r+2G5HfffZewsLAM5eLi4hg3bhwLFiywm09SRodMTEy0Dd8O8OKLL7Js2TIA9uzZw7lz52jWrJlrV0py3fWYS+x4YyrXLlhby86Z35GclEiJ8pVtZZITE/jqzen88ssvgPXexl9//ZXatWs7PG5169aNLVu2cPbsWZKSkli3bh0tW7bM+5UUyUP2zs1Sa926NRcvXuTLL78E4L333uOuu+6iSJEieRWi5IPLv51k5+JXuHHNehErs3N8R8fkAwcOMGPGDFvPl23bttke5+TKY7Ja2NLp1q0bJ0+eJDw8HIvFQlBQEK+99hpgbX177bXX+M9//mMrf/bsWcqVS/uk9NDQUH788UcefvhhfHx8CAsLs92QKO4n7tIFtrw4zPZ6y4tPs2+2P3ePfZVPXxpN99nWlrP6T7zAzLdnsHDhQsqWLcusWbOyfO958+YRGRnJxYsXSUpK4sCBAzz44IOMGTPGZesj7qNChQpMmjSJYcOGkZiYSIMGDRg+fDiQNp98/vnnXLhwIcN9SytWrOCOO+7gX//6F3369MFisdCqVSt69+4NQN++fRk7diwrVqwgKCiI+fPnq/XEA1Ws34TG3foTOX0Ue2f5cCmpEG1HTCHh+jU+nvgk3WevIKhiFVoN+T+eeeYZEhIS8PHxYfz48dx+++1Ur1490+NWvXr1GDt2LH369MHPz49mzZoxZMiQfF5jEdeyd2722Wef8b///Y+XX34Zf39/3n77bZ577jlefPFFKlWqZBveffXq1SxfvpwrV65w5coVQkNDady4MTNnzmTcuHEcOnSIv/76i8KFC/Phhx9Svu3DNAj9Z36spmRTrTahxPxxms0vDMZisXAguLTdc3xHx+TBgwfz0ksv2UbbrVixItOmTQNce0xWhS0dHx8fRo0axahRozLMa9y4cZrKGlifyWHPmDFjsjwpbxr+r5wHKrmmaKky9Ji7Os20iKblmHHovK2yBlCmWi3Cpi0momm59G+Rhmmatv9n9luSgqNz584ZRg+FtPkkLCzMbstbiv79+9O/f/8M02vVqsX69etzL1jJNw1C/0mD0H/ack+K1Dmoxj/a8fZTj2RY1tFxC6xDlqfcFC9SEBw8eDDDtAcffJAHH3zQ9rphw4Z8/PHHGcr17t3bdlEsRco9pCUfGcP9qXbB9PuruDcfHx/uenQIdz1qvWiV+nwuO8fk9AM+pXDlMVldIkVEPIyesyYiIlJwqIVNRMTDpDxnLTNZtQKL50pMtuDn65PteSJin/Yb8QSqsLmIEoCIiOQ2R5V1VdRFsk8XwAqurM7V3elcXhU2F9FBVURuhTsdKERERLyNJ1XWfSyWfLsXwutvwnBUYUuZd2zfV2x6+Tn+OvlLXoYmNwXfXodu42ZS6+5700x3dCPxs3eWVZekzHnDyrtNbnImh6SmfOJ50uegrAYxyGluggKfn7xlxd0mP3mSrH77Od3nIpqWY/Cijcq7bir49jq8t/Rt9pS6w+58Z/JtHskyP6mFLYdy68C3YfoYok8dz7qguMRfJ39hw/QxPLtxj9PLqPVU3JXyiefJSQ7KjCddLRbJS648bivvuq+/Tv7Ck08+yePv7crvUG6ZKmw5pAOjiIiISP4r4K3HUgBoWH8H8mLo7O7j51C+Rl2Xf47YV75GXbqPn5Nr75fVb0bDsUsKV/wWlE88T27nIEcc/eYSlLvEg6VcRM/sz5WUd91X+Rp1efvtt3O8vKO8l9c5MV9a2KZMmeI3cuTI/PjobHvzxwt2pz/VsAyWazGZLnfpkl+m81PPq9mwMaPe3ZLhvR19bk7maVnH89J/V85+f+ldifFzGNPg+qW9+v6311577XbgzKRJkxLzO5acyO3clNV3mtXvN7u/wZR8kh/7nLvsy566bMr36Si/ZDU/q2Ud5Sdn1seTeXpuAs86d8qJrPJlQrKFwg7mu2q/yWpZe+dxKTwl/7hzTLe6bNOGZdidyfxbzZm5xZn8lC+DjkyZMuV24ESef7CI5IUakyZNOpnfQeSEcpOIV/PY3ATKTyJezmF+yq972M4ANfLps3PiBJ4Vrz1aB/fhDevhaB3O5GUguczTclNOeMPvLzu0vt7P2XX25NwEf+cnT/2OPTVu8NzYPTVu8NzYcxq34/xksVj0l8Xf5MmTLfkdg9bBO9bBW9bDG9ahoP4VtO9O6+v9fwVtnT11fT01bk+O3VPj9uTYXRW3Bh1xzpT8DiAXaB3chzeshzesQ0FV0L47ra/3K2jr7Knr66lxg+fG7qlxg+fG7pK48/PB2SIiIiIiIuKAWthERERERETclCpsIiIiIiIibiq/Rol0W4ZhJADHUk3aa5pmfzvl7gTeBMoB54F/m6b5Xd5EmTXDMB4CXgQCgGis8f1gp9xRwAdIuDnpN9M02+dZoHYYhtEOmA0UA04Bg0zTPJOujMdvf3fc9qk5sy+4+/cgf3Nmv/ImzuZAb2MYRhdgM1DDNM2T+RyOSxmGUQlYDtQDYoCnTNPckb9RuYZhGIWBl4ExQNXU+65hGBOAPlgvwn8DDDFN83K+BJpOFnGPAp7EGveXwFDTNG/kS6BZMAxjEDAW6zH7DDDMNM0j+RuVc7xhP/G0vOaK449a2FIxDKM4kGyaZr1UfxkqazetAWaaplkXmAuszLNAs2AYRmWsO2cf0zTrA6uAzB71Xgq4N9X65ndlrRjWbfuEaZoGEIW1QpCeN2x/t9r2qWVjX3Db70H+lo39yitkMwd6DcMwAoEZQOZPkfUuy4EtpmlWBYYDT+dzPK60CbiWfqJhGP8EHgFaAPUBC/Bc3obmUGZx/wMYCbTEGnd5rN+h2zEMox4wC3jwZj5ZByzN36iyxaP3E0/La646/qjCllZJ4FJWhQzDuAMoZZrmRgDTND8AyhuGUd/F8TkrAehtmuZPN19/BTTMpKxT65yH2gHHTdM8ePP1W0CIYRglUgp40fZ3t22fWpaxecD3IH/Lcr/yMtnJgd5kMvAuEJvPcbicYRhVgWbAAgDTNP9nmuYj+RuVS71omuZEO9N/BgaaphlrmmYysAv3+q1nFnc48J5pmpduxv0W1oqnO2oA/GKa5m83X/8PaJSP8TjNS/aTyXhWXnPJ8UddItMqBRQyDOMjoA5wEhhtmubP6crVBY6nm3Yca3Nz+rJ5zjTNP4HIVJM6AXvSl7t51b0Q8F/DMBpj7dIWYZrmrjwJ1L66pOqGZ5rmFcMwooHawKFUZTx6+7vptk/NmX3Brb8HScOZ/cprOJsDvcnNCygPYm1pGZrP4eSFO7E+oHaGYRhhwFlglGmaXvd7BjBNc3cm039MN6kT4Dbd3TKLG2tO+jDV62NYjx3uaDdQyzCMRsCPQE/gs/wNyWkevZ94Yl5z1fFHLWxpXQPeB57BekUlCthkGEb6im0gcD3dtDis94a4FcMw2gOjb/6lVwj4DzDbNM0GwHzgI8MwSudhiOk5s229Yfu747ZPzZl9wWO+Bym431UWOdArGIbhg7WFYrhpmglZlfcSpYA7gB03u/muANbbOV4XGIZhjAcqYD2euLv0Oclt85Fpmr8Dz2O9PzAaGAZE5GtQzvPY/cQb8lpuHn/c/gtzBcMwegAz7cx62TTNp1KVm4e1KbYu8FOqcleBIumWDQSu5G6kjmWxHv8xDONhrM3gYamaZm1M04wBBqd6/YFhGBOx9in/xEVhZ8WZbesW2z8rjra/m257G9M0TwBZ7Qse8T0IUEC/q6xyoBcZAvxkmuZX+R1IHroMnDNNc9PN10uwDqqT/njtMbI6pmex7MtAR6CjaZpXXRGfg8/OSdzpc1K+5yMH6/Em1vu+apqmecowjH7Ah4ZhNDJN0y0eZuwg9gW4+X7iIPZZuHFeu9Vz8OwqkBU20zTXA+vTTzcMo5RhGDVN0zx+s5zFMAxf/h7FL8VhoK5hGL6maSbfvFKR5z/+zNYDwDCMDsBrWJO33e5pN7vlVTFN00w1OfWohfnhMNA35YVhGMFAaeCXdGXyffs7ktX2d9Ntb2MYRimgTBb7gtt/D2LjzH7lVZzJgV6kG9DcMIyuN18HA/sMw3jENM1t+RiXK50ASqTkn5s5KhlIyu/AcsrRMd0RwzAmA62B+03TzPP7fHIY92HSdoFsSD4fOxycGz4L7DJN89TNSe9hvaeqHPBX3kWYOQexNwKmuPN+4iD2T3DjvHar5+DZpS6RaTUGthuGUQHAMIzBWIdvTXOfzs2a8lmg981J/YETppsM8XpzRJ3/Aj2y+KFUAL42DMO4udyDN6fl570e24AqhmHce/P1cGBz6iuGXrL93XHbp5blvuDu34OkkeV+5U2ykQO9gmmanU3TLG+aZkXTNCsCp4G73eGkxlVM6xDZx4AnAAzDCMc6UNIxR8t5G8Mw7sKae7vmR2XtFqwFHjEMo/zNi31DgdX5HFNmTKCVYRhlb77ugvXYdz7/QnKOJ+8nnprXXHX88bFY3KI1120Y1ueCDAWSgd+xPmvj55vDdEaZptnoZrk7gMVAWeAc1uGyD+dT2GkYhtEb64/lZLpZbbG2qqZej17ARKz3VF0EnsnvgS8Mw7gf65WJYsBRYCDW+Dx9+4cAH7vztk/N3r6A9RkuHvE9SFr29ivTNM/ma1Au4igHmqZ5Lu8jyluGYZzE2tpyMn8jcS3DMG7H2toRDPyJ9Xh9IF+DcoGbF86+SHmJ9WQ7EWiP9RgSjnX9U/xqmmZIngZph6O4TdP8zTCMEVi7GvpgHcRjhGmaifkSbBZutmL2xXo8jME6CJdbdtVLz1v2E0/Ja646/qjCJiIiIiIi4qbUJVJERERERMRNqcImIiIiIiLiplRhExERERERcVOqsImIiIiIiLgpVdhERERERETclCpsIiIiIiIibkoVNhERERERETelCpuIiIiIiIibUoVNRERERETETanCJiIiIiIi4qZUYRMREREREXFTqrCJiIiIiIi4KVXYRERERERE3JQqbCIiIiIiIm5KFTYRERERERE35ZePn23Jx88WEdfwye8AcoFyk4j38YbcBMpPIt4oy/ykFjYRERERERE3pQqbiIiIiIiIm1KFTURERERExE2pwiYiIiIiIuKmVGETERERERFxU6qwiYiIiIiIuClV2ERERERERNyUKmzi1hKTM3/kjKN5IuI9lAdExB1llX+UnyS3+Fgs+fZj0q9YnDLj0Hm70yOalsvjSMQJ3vBwWuUmN6Q8ILfIG3ITKD+5ncxyEyg/idP04Gxxb7r6JCIiIiKSOb/8DkAKNj9fH12dEhEREbeUmGzBz9dbGmjFU6nCJiIiIiJih6MLy7qoLHlFXSJFRERERETclCpsIiIiIiIibkoVNhERERERETelCpuIiIiIiIibUoVNRERERETETanCJiIi+UrPYxQREcmchvUXEZF8dSvPY8zqGUl6hpKIiHg6VdhERMRj3UplT0RExBOoS6R4rKy6UamblYiIiIh4OrWwicfSlXURERG5Feo2LZ5AFTYRERERKZB08Vc8gbpEisuMHz+eBQsW5Op7xl2+SNT0kXww8hGH5Y7v2kpYWBghISEMHz6c2NhY27xTp07RvXt3Bg4cmGaZmJgYnn76aUJCQggLC+OTTz7J1dhFxCo3coP5+YdseLYvoaGhfPryM1yN/tNuuY0bN9KlSxfuv/9+xo4dy40bNwC4evUq48aNIyQkhHbt2rFp06a/39s06devH6GhoYSFhREVFXVLsYqIe8qNXHT40w1seLYv60b34tOXn+HK+XN2yyUkJPDKK69gGAZnz55NM2/ZsmV06tSJkJAQxo8fb8tT58+fZ9iwYYSEhBASEsLOnTtvKVbxXKqwiceIvxLDlilDKV21lsNyV86fZfd/X2XRokVERUURHBzMvHnzADh+/DhPPvkkd9xxR4blZs+ezW233UZUVBRvvvkmU6dO5dw5+4lXRPLPX8d+5tAHSwgZ/xqRkZGUrlqT/aveyFDu4unjvPzyyyxZsoRt27aRnJzM4sWLAXjjjTe4eu0aW7ZsYdWqVcyaNYvTp08DMGLECAYOHEhkZCQzZ84kIiKCS5cu5ek6ioj7O3jwID9sXkXnyW/S89U1lKp8O/tWLLRbdujQoRQpUiTD9G+++YZ33nmH9957jy1bthAdHc2KFSsAmDZtGtWqVSMqKor58+czduxYrly54tJ1EvekCpvYnDlzhnvvvZfFixfbruZ88803DBkyhDZt2jBu3DgAtmzZQlhYGKGhofTv359Tp04BcPHiRR5//HHatWvHkCFD0rRqHT16lH79+hESEkLXrl35/vvvcxRj+2dnULXZvQ7LnNr/JZUaNaNSpUoA9OnThy1btgAQEBDA8uXLadKkSYbloqKi6NWrFwBVq1alRYsWfP755zmKU8Sb5EVuWDeqFxvGPsb5Yz9nGU+REqW4f8SLBJa2dlWqUO9OLp05kaHcHz8c4B//+AfLzxbmlW+i4R/dWLHpE2YcOs/6rTvo2aMHvr6+VKxYkQ4dOvD555+TkJDAiBEjaN++PQANGjTA39+f33///Za3o4jcGlfmoktnTvDJlGHZykVly5alzbCJBBQPAuC2hs24/Pspu2WHDRvGyJEjM0yPjIykc+fOBAUF4evrS+/evW3nLLt27aJnz54AGIZBw4YN2b17dza2mHgL3cMmaVy8eJHg4GCioqIYMWIEo0ePZt26dfj4+HDffffRvXt3JkyYwLp166hevTpLly5l4sSJLFu2jMWLF1O6dGmWLl3KmTNneOihh6hTpw43EpMYPXo0/fv3Jzw8nAMHDjB06FC2bdvGu+++y/p3VmWIo+W/xnJbw7vSTAsoHkRA8SCuXYx2uA4xf5ymRIXKttfVqlUjOjqay5cvU7lyZbvLXLx4kUuXLlGtWrU0yx0/fjw7m0/Ea7kiNyQnJ9tyw7HaD3DO/I7PZ0cQvnAdP0V+wJHPrd0UtwcU4kJ8EvB3bihR/jZbbGe+2U252g0zBu0DycnJtpeFixQl5uxv1lk+PiQlJdnmBQYGcurUKQoXLkyXLl1s07du3UrJkiWpXbt2rm5PEckZV+QiS3Iy2+dPokFoOHXbdU2Ti/773/9mep5SvV9HKlwoBkDijXiO7fyUas3tX1S2d6EY4OTJk7Rr1872umrVqrZzD3t56tdff83xthPPpQqbpJGYmEhoaCgAdevWBaBMmTIABAcHs3fvXu655x6qV68OQHh4OLNmzSIhIYH9+/czZMgQAKpUqUKLFi0AOHXyBMdO/srRmm2tN/b6ViexaBDPrt3OvEGDONeka+6uQ3w8RYJK2177+/vj4+NDXFwcJUuWtLvM9evX8fX1pXDhwrZpAQEBXLhwIVdjE/FUrsgNx48f59SpU/Ts2ZOZ316ggtGYIkGl+PPIDzTq0otGXawt3hFNy2U6KMDGjRv57ZvddJm2KMO8So2a8+n7i3nwweOUrFSNnz9dT1KC9d6QSnfczcqVK2ndujXR0dFs3bqVu+++27bsoUOHGDlyJBaLhVdffRV/f/9b3oYicutckYsu//4rMWfPUOd+68Wa1LnoeSfOU/atfB1z60bKG42546G+2VrXw0spAAAgAElEQVSfuLi4NPmlSJEixMXFAdCqVSuWL1/O1KlT+eWXX9i9ezeGYWTr/cU7qMImaRQqVMjWx9rX15fAwMA08/z9/QkKCrJNK1GiBBaLhUuXLnH58mVKlChhm5dSLiYmBktSEhue/TuJ3Yi7SnzsZYex7F/9JqHjdnIhPok2QycQXLuBU+vgV6SI7aQMID4+HovFkmZd0itatCjJycncuHHDljivX7/ucBmRgsRVuSEpKYnOnTvbWtCcyQ0pfv50PZ9vfZ/QCfMJLFU2w/xSVWowYcIEZrw2kUKF/alzfxf8ixUH4M4eA4n76E0eeughqlWrxn333Zfmgk3Tpk3ZsWMHP//8M0OGDGHx4sXUq1fP2c0lIi7iilwUf/VKjs5TUtzddxjNej3JD5vXEDVtJGHTFju9PkWLFrUNMgLWClzKOr3wwgtMnjyZzp07U79+fdq0aZNm3aTgUIVNsqVs2bIcOnTI9vry5cv4+vpSunRpgoKC0vQHv3DhAlWrVqV8+fIUDixGj7mrM7yfo64GzXs/RcTMCQ6H27WnZKXq/PHDftvrX375heDgYIdJrlSpUpQpU4YTJ07Yrl4dPXqUBx54IFufLVJQZZUbLsfYzw3FihUjMjIyw37+w8drHHaJ/GX7x/wctY6PVq/gv78XyjSu7t27Y97eBoCzP39D6ao1AWv3yAkvvWQrN27cOFq0aMGlS5fYsWMHDz30EAD169enSZMm7N69WxU2EQ+Qk/OUwNLlcnSe8l2hivz1y0WC6zTEt5Af9Tt258DqN4m/GktAsRIOn/GWMq9mzZppbr84evSorQt22bJl04xi2b9/f1urohQsGnREssXPz4/9+/fbRlNbs2YNrVu3xs/PjyZNmrB161bAOnT+gQMHAKhcuTLFygRzcvc2AK7HXGL7/EkkXI9j0KBB9Ji7OsNf+vvXsqNa8zac/ekQJ05YByF49913CQsLy3K5Tp062UZmOnr0KIcOHbINPCAijmWVG/73+VZmHDrP81u+4et9+/nqj2u8+2cAviXLERkZCaTNDY269LLlg8jIyDS54eqFvziw5m06jptDhQoVMo0p5uwZunXrRvzVWJITE/lu4zvUbtsZgO82rWDGjBmAdX//+uuvad++PX5+fkydOpWvv/4agOjoaL799lt1QxLxEDk5TykeXDFH5ynHjx9n5+JXuHHNOnLjqQM7KVa2AgHFrK14Kc94S/0H8PoPF2wVuU6dOtlGh0xMTGTVqlW2+2hffPFFli1bBsCePXs4d+4czZo1y4OtKO5GLWySLRUrVmTq1KkMHTqUxMREKleuzNSpUwF48sknGT16NO3ataNWrVp07NgRsN4023bEi3y9ZBYH1y4CH18adXmUwkWKZuuzTx34iv0rXycxPp64S9GEhoZyPbAMoRPm8+veLzh9cCf3/vt5ipUJpuW/nmXosGEkJSbSoEEDhg8fDsDq1atZvnw5sbFXuHr1CqGhoTRu3JiZM2fyzDPPEBERwYMPPkhAQADTp0+nXDk9MFPEGc7khs+G/5OSlatTvUVb4O/csHLlPMwzc5zODcd2bCHh+jU+fWk0++dYW998fAvRffYK/jr6EwfXLibk+VcJqliF9u3bs+z/BuCDDzVad6DOzQpbnbad+XHpVNq3b0+RIkV45ZVXbK3wCxYsYNasWVy7do3k5GT69etHy5YtXbj1RCS35OV5Srdu3fj/9u48vKkqceP4t6Et+1YWEdlFDgOioohUxhFZy6IsCgI6grggIsqIIMrIIiqbOCg4KiojyrjyQ0QZioAyKiIgMoPIcNgFR2BYLZYCXfL7I21s2iQNNEnT5v08Tx+ae+5NzskNb+/JPffct7/Zyid/vgen00l8uYrcMNL1Wod3buWuOfO55IFppJ04xrInh7u3W/bkA2x4Np758+fTokUL7rrrLgYOHIjT6eTaa69lwIABANx2222MHj2aBQsWUKlSJV544QVKlfI9okBKrhin01lUr11kLyzh52tYo7/JBAoqL+y2EhLex34UL8qmEFEOSBEqCdkEyqeQUP5IESswnzQkUkREREREJEKpwyYiIiIiIhKh1GETERERERGJUOqwiYiIiIiIRCh12ERERERERCKUOmwiIiIiIiIRSh02ERERERGRCKUOm4iIiIiUWBlZun2dFG+xRV0BEREREZFQiXXE6AbWUqzpDJuIiIiIiEiEUodNREREREQkQqnDJiIiIiIiEqHOu8NmjKkWzIpI8aWLeUWkOCoou5RtIiISCXxOOmKMiQFGArcAGcAMa+0nxpgBwGygqjHmZPbvE621meGosEQefxfzgi7oFZHIpOwSEZHiwN8skQ8BzwIrsx+/Z4zpD8wD5gBbgMuAh4FfstcVERERERE/MrKcxDpizrtcoou/DtsDwIPW2hcBjDF3AnOBZ6y1k3NWMsZsBf6EOmwiIiIiIgXSGX45F/6uYasLLM31+C2gBrAkz3qfAQ2DXC8REREREZGo56/DdghokPPAWpsBrAPyfh3QBEgJes1ERERERESinL8hkYuBl4wxD1lrPwWw1rbNKTTGOIA/4Jp05MOQ1lJERERERCQK+TvD9gSwD3jHR3l/XMMhjwPjglwvERERERGRqOfzDJu19hegizHmIh+rfAV0Aj631maFonIiIiIiIiLRzN+QSACstf/1sXwfrjNwIiIiIiIiEgL+hkSKiIiIiIhIEVKHTURECi0jy1nUVRARESmRChwSKSIiUhDdBFZERCQ0Cn2GzRhT0RjzQDAqIyIiIiIiIr8J+AybMSYWaAok5FocAyQCE4A5wa2aiIiIiIhIdAuow2aMaQEsAer5WGVR0GokIiIiIiIiQOBn2J4D/gXcCSwF7gCygNuBo9bae0NTPRERERERkegV6DVsVwGPWWtX4+qobbLWfmitvRlIM8Y8FaoKioRCQTPaacY7EREREYkEgZ5hcwCnsn9PBaoBu7MfzwG+AP4c3KqJhI5mtBMRERGR4iDQM2zbgPuMMfGABe7OVXYJUCbYFRMREREREYl2gZ5hmwa8D8wHXgTeNcZ0Bv4LtAL+LzTVExERERERiV4BnWGz1n4INAf2WmvfB/oBG4FjwGRAk46IiIiIiIgEWcD3YbPWbs/1+0JgYUhqJCIiIiIiIoCfDpsxZu65PJGm9hcREREREQkuf2fYOgO55zZPACoCJ4BfgcrZj48C+0NVQRERERERkWjls8NmrW2Q87sxphswGnjIWrs51/JrcN1U++kQ1lEiQEaWk1hHTFFXQ0RERMSDjlGkpAv0GrbpwJ25O2sA1tp1xpjRwKvAP4JdOYkc/u5bpnuWiYiISFHRvVWlpAv0PmyNcQ2D9OYE0Cg41REREYkMGVnO8yoTEREJpkDPsO0Aphljhltr3derGWMuwjUcck8oKiciIlJUNLJAREQiQaAdtoeAxcBeY8wh4BSuSUcSgDPAzaGpnoiIiIiISPQKqMNmrf3MGNMI6AP8DtfskKmABT601h4IXRVFRERERKKHv4lUNMlK9DmXG2cfAeYaY6oA5YBfrbUpIauZiIiIiEgU0pBsyS2gDpsxphwwFbgVqJ5r+QFgATDBWnsmJDUUERERERGJUoGeYXsNuAn4O7AB13DICsC1wINATWBIKCooIiIiIiISrQLtsN2I6z5sH+RZ/qox5lPgZdRhExEp0XTdhIiISPgF2mE7C2zyUbYByAhOdUREJFLpmgoREZHwC/TG2QuA232U9csuFxERERERkSDyeYbNGPN4rodHgXuMMe2Bb4AUoDxwHVAfmBnKSoqIiIiIiEQjf0Min/Ky7CLg916WzwRmBaVGIhFA9z8RERERkUjgs8NmrQ10uKRIiaNrdUREREQkEqhTJiIiIiIiEqECvXH2ZbiGPF4BVPa2jrW2VBDrJSIiIiIiEvUCndb/b0ApXNe1HQOcIauRiIiIiIiIAIF32AzQ2lq7NZSVkaKjiTRERERERCJPoB22fwNVQlkRKVr+JtkATbQhIiIiIlIUAu2w3Qv8xRjzOq7O26m8K1hr9wWzYiIiIiIiItEu0A7bxcClwNteymJwXdOmSUdERERERESCKNAO2/PA98ADaNIRERGJcgVd96vrgkVEJFgC7bDVADpaa3eFsjIiIiLFga77FRGRcAn0xtmfAi1DWRERERERERHxFOgZtgXAE8aY3+MaGpmWdwVrrbfr20REREREROQ8BdphW5j97+U+yp14n5BEREREREREzlOgHbaGIa2FiIiIiIiI5BNQh81a+6OvMmNMTWA2cGuwKiUiIiIiIiKBn2HDGNMMaA8k5Focg2syko5BrpeIiIiIiEjUC6jDZozpDbyHq4PmANKB+OziXcATIamdiIiIiEQ93dvwN7oPZPQJ9AzbeOAp4BngOK7JR44BfwSSgDdCUTkREREREX/3Poy2+x7qPpDRJ9D7sF0CzLfWZuCaEdJhrT1hrZ0NfATMDVUFRUREREREolWgHbZUoGz278eBernKlgOdglkpERERERERCXxI5AbgOWPMbcC3wERjzC7gZ1zDIk+FqH4iIiIiIiJRK9AO22PAx0AVYAqwGtidq3x8cKslIiIiIiIigd6H7XtjTMPs3/dkT/F/E66ZItdZa9eEsI4iIiIiIiJRKeD7sFlrnbl+3wfMATDGxBtjullr/xGC+omIiIiIiEStQCcd8acqruGSIiIiIiIiEkTB6LCB64baIiIiIiIiEkTB6rA5C15FpGTIyPL9cfdXJiIiIiJyrgK+hk2Kv4wsJ7EOnQwtrFhHDFM3HfFaNrZl9TDXRiS4lBMiIiKRRR22KKKOhogURDkhIiISWXx22Iwxnwb4HPFBqouIiIiIiIjk4u8MWzyBXZvmBL4ITnVEREREROR8+RvarmHvxZPPDpu1tl0Y6yEiIlJi6IBJRIqKhraXPLqGTUREJMh0wCQiIsESrGn9RUREREREJMjUYRMREREREYlQGhIpAVm8eDEfzn6J9LQ0av3uCtoOHUupuHh2fbmcq+5+jlKVEtzrXtX/Puq3vp5NH7zOri+T2dOsCfXvmYSjlOvjtuurTzm88wfaDP6T19f68q9PUbFWHa7oM9hj+d/6t6Xfix9SvlpNPnjgZpbHO0glFmeWk1Lx8VzW6w4aXdsRwKM8/XQalS6sy6U9BlC35bWheYNExG3nF8v4fskCj7wA2PXlctbOm0m5qtXc617V/z5oebM7Lypf1IAOj0zxyIunlu4mtvt9Xl9r7Nix7I2r7jMvoDofPHAzTpzExpf2yAta9gfwKM+dF7S8KfhvjoiEXN4MevilZwEfGfT4GKje0mcGffzxx3yz8pvzOmYZ/M9/ArFeM6jFyOFQ+xrAewYlPnQfVGoe/DdHiiV12KRAx/fvZsqUKXR6ah7lq9Xki9mT+H7J37ni5js5k3qS7t27U673gx7bpP1ynB83fEGfWe9y+qMX2b9xDfVbX096WipbPnmHruNnF7peM2bMYGWpBgD88vM+lo4fStW6jahat1G+8p+//5YvX3qKq28bTqO2nQr92iLi3fH9u1n/1mxumvI3j7yg9WjOpJ6k4bUdaXvPGI9tjh496s6Lb+bNzJcXzy18mxd3nilUva5/YAIXNL0c+C0vdnS+CqiarzwnLz6p6YCL2hTqdUUkvLxl0KuvvgrX3uo1gzq1rM5Xq3f4zKB58+Zx5SN/KXS98mbQk08Oo9242e5jlrwZ9MQTT9C03zAdswigIZESgANbNtKmTRsqVL+AmJgYmnXrx4/rVwOQnpZKxYoV822TcvAnqtRpgMNRimbNmnHiv3sB+O7917i0e3/iy1UIah0r167HhZe24sCWjV7La7doReKQUWz4+4s4nYHcrUJEzseBLRu5sPlVPvPC2//9H3/80Z0XCQ2a5MsLbxlTGDl5sXbtWq/lOXkxffp05YVIMeMtgz791HVrYV8ZlPuYJW8GDR48OCTHLG3atPF7zDJhwgQds4ibOmxSsBjIyspyP4wrU5aUg/8F4GzqSb777js++fM9LHp4AOvfmk1m+lliHDGQHTKZmZnEOEpxbN8uju/bRXyFiqyY9ghr5k7lzJnCfWueW1ZmBo64OJ/lda9sy9nUX0k5sC9orykiecSAMyvT/TBvXvxv+/f58sLhcLjzwpmVlS8v7r33XtbMnUrG2eDmRXx8vM/yule25eTJk8oLkTDJyApSx8RLBu3b5/p/7C2Dzp71PGbJm0FVqlRxH7MEM4MyMvwfs9xwww06ZhE3DYmUAtW+tBWffvAqnTrtpnLtevzn00Vkpp8FIKH+JVxtavO/y7uTefYMq2Y8yvdLFvC7pL4c37+bjLNn2LBhA9Vadmbd/FlcM2gk/3xhAj2eepX/LF/Ixx9/DBe3y/eaW5d9wO6vlrO6dCmOncnMV57XkT2WQ//5F9cMesjnOjEOB3FlynL2VOp5vxci4l/tS1vx3XtzOb7fe16UrliZZl37eeTFiDH3ufPi4NZNNGl/o0defP7xIu6e/gq716ygyQ098r1mTl4EKicv/jB9EnsPeV8nxuGgXLlyyguRMPF3KwwI/HYY3jIo58thbxk0d+5cKl/R3WcGzZgxmXbjXuI/yxcGNYO+/fZbOvUa5nMdh45ZJBd12KRAVeo05IknnmDq8+MpFRfPJe26E1/eNTzg4uu6cG/L6kzddITY+NI0634r33+0gCtuHsLvutzMkrF30uX31/DzscNUa2AoU6kKcWXLEVemLAn1L2HLlm8p46XD1qxrX67oM5ix2c8Nrgt4cxs9erR70pGylavSbuRTVKhey2c7Ms6eIS3lOGUqVQ3emyMiHqrUacg1g//Eah95kSN3XlSqNMadFxc0vZxTefKiXLlyJNS/hP0bvwIvB0s5eZFb3rz455xJ7gv+c/Kidu3acMj7AWLG2TMcPXpUeSFSzHjLoJxh1d4yaPWKd2nVtr/PDCpfvrz7mCWYGTRr1iz+Wcb3Mcvp06d1zCJu6rBJQHr37o1tcB0AB//zL/dFsicP/ZeTJ0v/tqLT6Z5ZqWmn3jTt1Jv7L46nS9/b6DZhDulppzzWLVWq1HnXKfekIoH4cd1qKl1Qh4o1Lzzv1xSRgl1yfTcuub4bkD8vSles/Nv1IF7y4kzqSZInP+g1L2Ic5z+KP/cF/YH4cd1q6tevr7wQKYbyZlCTJk0A7xkUG1s0GZTYsjr/9HNGcfny5TpmETddw1aCBG38dx4pB3+iZ8+enEk9SVZGBpsXv0nj7CD894fzmTFjBk6nk4yzZ9i2YjF1WiZ6bD9r1ixa3HQbcWXLU6ZKAqd/OU766VMc3rmVRo0ahaTOeR344Ts2vP0iV98+PKSvU9A+CNU+EokUKQd/4qNHB/nMi2/f/qvfvPjuvbn58iI1NZXDO7dS+aIGYWlDTl6MGTOm4JVFJKJ4y6A+ffoA3jOoXbt2HtvnzaCjR4+6j1nCmUEzZswI+TGLFB86w1aCBGv8d16VatWhQ4cOvPHoIGKIoWHbju5vrq6+/QGOvP8X/vGn/sTExFDnikTX/YuyHd2znaN799LkxvsBcDhKcVmvO/hozCDKVatJz8eHM2fH6fOqV0Fyhkymp52ifLWa/P7ex/IdHAZbqPaBSLBkZDmJdcSE7Pkr1apDvVbX8ZGPvFgzdyr/5ycvUg7sJ3HIKOC3vOjZsydnK1Sj4+jpIat3znCl3HnRoUMHNvj5/ywikcdbBvXu3Zupm454zaAhQ4bw3A8pgPcMGjp0KNOyj1nCmUFPP/00a3UfNsmmDpsE5MEHH+TUdQPzLS9doRKzZ8/22Ump1rAJM+bN8yhv0v5GmrS/EYAKFSoAnh226+7/s9fnuvPdNe7f+875P1q1rM5KH6/bd87/eVz/JiIu4fhSoWXfu2nZ9+58y0tXqET7h5/xuV21hk3oMm6Wx7Im7W9k3qg7fdZ56tSpXsvy5oU/BZUHm79Oc6g71CLR4FwyKPdssd4yqG/fvuxqfIPP1/J3zFKrVnU4cOS8Muj6ltVZq2MYyaYOm4iISBj56zTrLLyIiOSla9hEREREREQilDpsIiIiIiIiEUodNhERERERkQilDpuIiIiISBTwd3sh3XoocmnSERERERGRKKBJj4onnWETERERERGJUOqwiYiIiIiIRCh12IoZjS8WEREREYkeuoatmNHYYxGRkisjy0msI+a8y0VEpORRh01ERCRC+PtSDvTFnIhINNKQyEJITU1l1KhRNGvWLKD1V69ejTGGn376yb39o48+SpcuXejWrRtTp04lMzMTgM2bN9OvXz86duxI//793dtIybB06VJ69OhBly5dGDFiBCdPnvS6XvPmzUlKSnL/jBkzBoDp06d7LG/Xrh19+vRxb/fVV1+RmJjIX//617C0R87NqlWr6NmzJ127dmXAgAFs37493zrr16+nb9++JCUl0bt3bzZs2OAu8/f5WbFiBZ07d+YPf/gDI0aM4Ndffw1LmyR49q77nI8eHcSihwewdMIwju/fnW+d1atX07NnT5KSkujfvz+bN292l73xxht07dqVLl26MG7cOM6ePesu27JlCx06dGDcuHFhaYsUD4FkUo5t27bRrFkz1q1bl69s2rRptG/fPt/yU6dO0b59e2bPnh3Uekvh5c4bX/veX9688MILJCUl0aVLF0aOHElKSoq77O2336Z9+/Zcd911jB8/nvT09LC0qSRSh60QBgwYwEUXXRTQumlpacycOZMqVaq4l82dO5f09HSWLVvG4sWL2bJlC4sWLeLs2bOMGDGCYcOGsXLlSnr16qU/riVERpaTn3/+mcmTJzN37lyWL19OjRo1mDVrVr7rE1NTU4mJiSE5Odn9M336dADGjBnjsbxdu3b07t0bgI8//pg5c+YE/EWChNehQ4cYO3YsM2fOZNmyZfTo0YPx48d7rHP69GlGjBjBhAkTSE5OZvjw4YwcORKn0/fnB2D//v1MmjSJV199ldWrV1OrVi0+//zzomimnKeff/6Zr197lg6PTKPPc+/Q4Job+OrlZzzWSUlJYdSoUUybNo3k5GTuv/9+RowYAcC//vUv3nzzTd577z2WLVvG0aNHWbBgAeD6EuDxxx/n8ssvD3u7JHIFkkk5srKymDhxIjVq1MhXtm3bNlauXOl1O3XUItOvRw565E1SUhKPP/64xzr+8uaTTz7h66+/ZvHixSxbtoysrCxefvllAL799lveeOMNFi5cyGeffUZqairfffdd2NtYUqjDVghPPvkk/fr1C2jd2bNnc9NNN1G+fHn3MmstrVu3xuFwEB8fz5VXXsn27dvZvXs3Z8+e5YYbbgCgb9++bNmyhRMnToSkHRI+sY4Yxs7/iCpNr+TNQ/FM3XSEUy27svDjpfmuS/n111+pVKlSgc+5fft2NmzYwIABAwBo1KgRb775ptc/qFL0YmNjmTlzJo0bNwbgqquuYufOnR7rpKen8/TTT3PppZcCkJiYyJEjR0hJSWHVqlUkJiZSu3ZtAAYOHMiyZcsAWLJkCZ07d6Z+/fo4HA7GjRvHjTfeGMbWSWHFxsZy/YgJVKhRC4DaLVrxy8/7PNbZv38/ZcuWpWnTpgC0adOGgwcPkpKSQnJyMt26daNSpUo4HA4GDBjg/nwkJCTw9ttv07Bhw/A2SiJaIJmU45133qFp06bUq1fPY3lOR27kyJH5ttm2bRvffPMNN954I1lOTZwWSRylPPOm9TVt2LNnj8c6ufMmI8vpkTeNGzdm4sSJlClTBofDQevWrd3bL1q0iFtvvZWEhATi4uKYOXMm11xzTdjbWFKow1YIV1xxRUDrWWv5+uuvGTx4sMfyxMREVqxYwenTpzl58iRr1qyhbdu2xMTEkJWV5V6vVKlSxMfHs3///mBWX4pIyoH9VLzgtzOzFS+4iNO/HOeXX37xXC8lhczMTO677z6SkpK466672LVrV77nmzNnDnfffTexsa5LUps3b058fHxoGyHnrVq1avzhD39wP/7iiy/ynfGoWLEiHTt2BMDpdLJw4UJatWpF5cqV2bt3r8fBUr169Th69Ci//PIL1lri4uIYPPhOunTpwvjx40lLSwtPwyQoatasyUWXtQYgKzODHav/Qb1W13msc/HFF+NwOFi7di0Ay5cv59JLL6VSpUr5Ph9169Zl927XkMrGjRtToUKFMLVEiotAMgng8OHDvPXWWzz88MP5yt59912aNGmSbzun08nEiRN54okniI2NxRHjukbT24+EX7mq1T3yZslHi7mg5e899suHv1YhNRMefGs5sY4Yj7xp2rSp+4ujkydPkpyc7B4Su23bNk6dOsXAgQPp0qULzz33nPuyHzl3mnQkxJxOJxMmTODPf/4zcXFxHmW33XYbn332GYmJiaSnp9O5c2euv/56MjIyKFu2LIsWLaJPnz58+OGHnDx5kjNnzhRRKySYMs6coUylqu7HpeLiISaGtLQ0Kleu7F5epkwZkpKSuPPOO6lXrx5vvvkm999/P0uXLnV3zvbt28fmzZuZOXNm2Nshhbd27Vrmz5/P/PnzvZYnJyczefJkKlasyJw5cwDX8OqEhAT3OvHx8cRkf35SUlLYs2cPb7zxBn/dforPZo7lP5P+wlW33uteX5NWFA8//ON9/r3ob1S8oA4dHpniUVamTBkmT57M0KFDKVOmDFlZWbz22muA6/OR+wubMmXKqNMuAfOXSc888wz3339/vpEfhw8fZv78+bz//vv5rsd+9913ady4MVdeeSVr1qwJad3l/OXkjWnUgFbDJnuUxcaX5tp7xrBy2iO0nv2ER97kGDVqFCtXrqR79+706tULcHXgNm7cyNy5czl79iyDBg2ibt269O3bN2ztKkl0hu0cLFiwwD3Jw4oVKwLa5r333qNx48a0atUqX9mMGTOoU6cO69evZ8OGDZw6dYrXXnuNuLg4Zs+ezfvvv09SUvo21g8AAA/oSURBVBJ79uyhYcOGAQ2Pk8i0NXkhix4eQFJSEod3bSUz/bdJADLOngGnk3LlynlsU7duXSZNmkSDBg1wOBwMGjSII0eOsHfvXvc6S5cupWPHjvm+DJDIt3LlSsaOHcvLL7/sHoqUV1JSEmvWrGHChAkMGjSIw4cPU65cOY9JJM6cOYMz+/NTsWJFOnToQLVq1YgrUxbTqTc/b14friZJEDXv1o8Br/6D5t36sXT8fa6cyHbo0CHGjRvHBx98wPr163nxxRd54IEHSE1NpWzZsh6fj7S0tHzZIuKNv0z68ssvOXHiBDfddFO+7aZMmcLw4cM9vnAEOHLkCPPnz+eRRx4Jab2l8HLyZtCgQfny5tSxw6x5ZSo9nn4tX97kmDlzJuvXr6dcuXKMHj0acI0U6d69OxUqVCAhIYE+ffrw1Vdfhb1tJYU6bOfg9ttvd0/y0KlTp4C2WbVqFatWraJt27a0bduWAwcOcMstt/DNN9+wZs0aunXrRlxcHGXLlqVDhw7umeBatGjBu+++S3JyMsOGDePw4cPUr18/lM2TEGqWdAt9nnuH5ORkmnbqzS8//+guO/HTHspWrZavQ56SkuIxDDZnqGzO2TVwzdyUeyiLFA9ff/01Tz/9NPPmzaNFixb5yg8cOOBx8X5iYiIXXHAB//73v2nYsKF7iBvAjh07qFGjBpUqVaJOnToes0LGOEoR41DMFye7du3i5+9dfwdiYmJo1LYT6WmpHpmxadMm6tSpgzEGgGuuuQaHw8GuXbto1KiRx+dj586dPr8QEMlRUCatWLGCrVu3uo9lNm3axIgRI1i8eDGff/4506ZNo23bttxyyy0cOHCAtm3b8uWXX3L06FG6d+9O27ZtmTdvHvPmzePr16YXQQvFmxP/3euRNz169MiXN//bvoWKNWuTUO9iwDNv1q5dy44dOwAoXbo0ffv2dXfK8v49cjgclCpVKlxNK3H0lzzEXn31VdauXcuaNWtYs2YNF154IQsXLqRNmzY0bNjQPYNbZmYmX375JZdccglnMzLp3bu3e9rUefPmccMNN1C6dOmibIoESb1W13Fw6yb3RAJbkz+g0bX5vwCw1vLHP/6RI0dcY/vff/99atWqRd26dT3Wufjii8NTcQmKtLQ0HnvsMWbPnu1z36WnpzN27Fj3H8K9e/fy448/0rhxYzp27Mj69evdF3a/9dZb9OjRA4CePXuybNkyDh48SFZWJjs+/4Tal+Y/uy+R69ixY3zx18mcOnYYgEN2M1mZGVSs6bruNSPLSYMGDdi5c6f7di8//PADJ0+epHadunTt2tU9O2RGRgZvv/023bt3L7L2SOQLJJOefPJJ1q1b5z6WadmyJbNnz6ZXr15s2rTJvXzhwoVceOGFrFmzxn07kpyyIUOGMGTIEK69e0yYWyi+nE454ZE3Gzdu9MgbgEoX1uXET3s4+b8DwG95U69ePTZu3MjUqVPdZ/U///xz9xdJPXv2dA+TPX36NEuWLCExMTHMLSw5dA3befrhhx8YNWoUGRkZZGZmkpSUBLiuOdm8eTPPP/88r7/+ut/nePzxx5k4cSKdO3cGXGfVhg0bRnxsKWol3c6QEX/CmZFBQsMmXDdsHFM3HdH1JyVA+YQaJN71CKtmPkZWZgbVGjShZd+7ADw+O1dffTWDBw/mtttuIyYmhpo1azJnzhz3N1QnTpwgLS0t32yQjz32GJs2beLw4cPExcWxZMkSbr/9dm6//fawt1XyW7VqFceOHcs3TOj1119n6NChfPLJJ9SrV4/Jkyfz8MMPk56eTkxMDOPGjaNBgwYATJgwgeHDh5ORkUGzZs3cUyw3bdqU0aNHM3DgQFIyY6jV9HJa9PxjuJsohXD11VdzWc87SH56JDizcMTGc/2Dk0g/fYql44cydlUyi9Oqc2m/ofT54xCczixKxcXT5v7xVE+oSvWEqtx1110MHDgQp9PJtdde655BdtasWSQnJ3P8+HEyMzPZuHEjnTp1YtSoUUXcailKgWSSlEy1fneFR958XbGsR970fnYBCfUbc9WA+1gxdRTfPhdDfHw8M2bMoEqVKtxzzz0888wz7tmIa9WqxVNPPQVAhw4d2LVrFz169KBMmTK0b9/e436xcm7UYTtPzZs3Jzk52WvZZZdd5rOz9tlnn7l/v/DCC3nllVe8rle/9fXUb3194SsqEalhYgcaJnbwWJaR5cz32Rk8eLB7dtGMLKfH1P9VqlTBWpvvuadMmZJvmUSOHj16uM+I5ZX7wKhr16507drV63rdunWjW7duXst69epFr169NOtaMdYs6RaaJd2Sb3nvZxe4f2/aqTdNO/X2uv0dd9zBHXfckW/5yJEjvU67LtEt0EzK7a233vK6vE6dOh7HObnlfLGkbIosufNmbMvq7v3jLW/ynjQoXbo0kyZN8vnc9957L/fee6/PcgmcOmwiESLWEeP3D5nOroqIiEhRyfvFcaBlUnjqsImIiIhIUOjAveTy98WyvlQOLXXYRERESoCCDpR1IC3hoIN6keBTh60I6I+miBSGMkS80bBqEZGSKcbpdBbVaxfZC0eCgv6o5i3fteErPpoyhsN7d4S6ahJkNRpcQs/HpnPx1b/3um9z+CsDeOTyasVh7HhEVKKQikU2BZIhyo3ipUaDS3hv3iusq5L/Plg5CpMhUd5hKwnZBMU8n6458T23DhmqTIoQuY9PILAM8VXu7xgFIuo4JRIV+MboDFsx8eHTozi6b3fBK0rEObx3Bx8+PYpHFq8r1PNomImcK+VG8XJ47w6GDh3KkPe+LuqqiITE0KHqrEWSYB2fgM7wh5punB0iGVnF4kswERGJEv7+LulvlgRKnxWR8NMZtvNU0KndYJ8N6T1uJkumPsr/9mw/522laNVs2ISbxk4L6WtosoGSJxj7TLlRvNRs2IRXXnmZwn/X7Z2/v0uPXF7N77bKEMlRmDMpr7zyCv3vuk+ZFCHCcXySQ7cEKJwi6bBNmjQp9qGHHiqKlz4nBX2AXvrhmM+yYc0TcJ5K8Vp24kSszzJf5Y2aX8bIt5YxrHmCz9f1V1ZQubYNzrb+ypynUvzu+/P5XOT4NSW2wPaEw/PPP98A+GnChAkZYXnBIAtnNgXyB8rf5yyQz0pObuTdNtyffW0beFnL5gl84+d5iypD7vld1WJ9sFXcswkiK5/O93PWsmXLfJmUIxL/P0bLtjn7qzAZUtC2/jLGX75A8ciYwggkn4pk0pFJkyY1APaE/YVFJBwaTpgwYW9RV+J8KJtESrRim02gfBIp4fzmU1ENifwJaBik59oTxOeKdNHUVoiu9paktv5U1BUohGBm0/kqSZ+FYNN7453eF99yvzfFOZsg+Pmkz413el+80/viWzDeG//55HQ6i/XPxIkTnUVdB7VV7VVb9ROsH30W9N7ofdF7o/dG70uk/eh9Kdr3piTMEjmpqCsQRtHUVoiu9kZTW8U/fRZ803vjnd4X3/Te+Kb3xju9L97pffEt5O9NUd44W0RERERERPwoCWfYRERERERESiR12ERERERERCJUsbtxtjHmJuBJoDRwFLjPWrvFy3qXAy8B1YEj2ettDmddC8sYEwdMAUYBda21XmeQMcbsBGKA9OxF/7XWdghPLYPjHNpa7PcrgDGmPfAsUB7YB9zprc0lYd9KYALNtmhkjLkZeAIow2//7/XeZDPGdAc+ARpaa/cWcXUigjEmHdiVa9F6a+0dRVWfSKKs8U45459yJr9w5kyx6rAZYy4C5gNtrbVbjTH3A68Abb2s/i7wmLV2sTHmFuDvQIvw1TYoPgK+DWC9KkALa+2BENcnlAJta7Hfr8aY8rjakWSt/c4Y8wiuTuiNXlYvCftWCnCO2RZVjDH1gJeBVtbaH40xDwHzgNZFW7PIYIwpB0wFfN9FN8oYYyoAWdbapkVdl0ijrPFOOeOfcia/cOdMcRsSmQ4MsNZuzX78FdA870rGmBZAFWvtYgBr7UKgpjHmd2GraXA8aa0dH8B6lYEToa5MiBXY1hK0X9sDu62132U/fhnoYoyp6GXdkrBvpWABZVuUSgcGWmt/zH68CjBFWJ9IMxF4CzhZxPWIJMpN35Q13iln/JuIciavsOZMsTrDZq39H5Cca1FXYJ2XVZsAu/Ms2w00Bf4TmtoFn7X2m4LWyT5bUwr4mzHmMlyn8cdaa78Odf2CKZC2UkL2K652uE+hW2t/NcYcBRoDm3KWl5R9KwU7h2yLOtlnlw8AGGNigcG4zshHvewvsTrhOgtwfxFXJ5JUAUoZYz4GLgH2An+y1hanvxMhoazxTjnjm3LGp7DmTHE7w+ZmjOkA/Cn7J69ywOk8y9JwXS9U0pQCXgeetdY2A14APjbGVC3aaoVESdmvgbYjmvatZCsg26JW9hClQ8B1wKNFXJ0iZ4yJwXV2foS1Nr2g9aPMKeAD4GGgGbAc+Cj7QFyyKWvyU854Us74FdacicjwMsb0AaZ7KZpirX3dGNMLmA30yHVaP7dUXBeN5lYO+DW4NS28gtpa0PbW2hTgnlyPFxpjxgOJwD+CVtEgKGxbKUb7Ffy29yUCaEdx2rcSHAFkW9Sy1j5vjHkB6A98bYxpZq1NK+p6FaF7ga3W2q+KuiKRxlq7BxiW89gYMwvXkK4mgP5foazxRTmTj3LGh3DnTER22Ky1i4BF3sqMMR2B54HOfk47bgOaGGMc1tqs7N5uRAa1v7YGInvYXB1rrc21OPesghGjsG2lGO1X8N1eY0w3YGCuxzWAqsCOPOsVm30rhRdgtkWd7GtUL7LWrrTWOoF3jDFzcF1f8q+irV2R6gm0MsbkTFZUA9hgjOlnrf28COtV5IwxVYAEa+1uAGut0xjjQNkJKGu8Uc74pJzxIdw5U6yGRGbPUvM3oI+/kMn+tuggMCB70R3AHmvt9tDXMuwuANYaYwyAMaZT9rISNya9BO3Xz4E6xpjfZz8eAXxirU3Ns17U7NtoF2i2RakawJvGmNoAxpi2QBz5r2eNKtbabtbamtbaWtbaWsB+4OpoP4jKdhmw2hhzAYAx5h7gJ6L8MwPKGj+UM14oZ/wKa87EOJ3OUDxvSBhjBuAKmr15iq7HdbZwubX20ux1WwCvAtVwjUe+21q7LXy1LZzsD8A/cx7imqQiA8i5B1futvYHxuO65uk48HBxmpjiHNtarPdrDmNMO1zfcJYHdgKDrbUHs6dcLjH7VgLjL9ustYfCX6PIYox5ANfF7g7gDK5be2hYcC7GmL1AO90fycUYMxLXZyYL+BkYrg6KssYf5UzBlDOewpkzxarDJiIiIiIiEk2K1ZBIERERERGRaKIOm4iIiIiISIRSh01ERERERCRCqcMmIiIiIiISodRhExERERERiVDqsImIiIiIiEQoddhEREREREQilDpsIiIiIiIiEUodNhERERERkQj1/9PpujxD1+HqAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3,3, figsize=(15,10));\n", "# Plot the posterior distributions\n", "for (r,c), ax in np.ndenumerate(axes):\n", " pm.plot_posterior(estimates3[:,c,r], point_estimate='mode', color=color, ax=ax)\n", " \n", "# Setting labels for the outcomes\n", "for r, ax in enumerate(axes[:,0]):\n", " ax.set_ylabel('Lambda {}'.format(r+1), fontdict=f_dict)\n", "\n", "# Setting labels for the predictors\n", "for ax, title in zip(axes[0,:], ['Beta0 - Intercept', 'Beta - Predictor 1', 'Beta - Predictor 2']):\n", " ax.set_title(title, fontdict=f_dict);" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 1 }