{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load /Users/facai/Study/book_notes/preconfig.py\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "import numpy as np\n", "\n", "import pandas as pd\n", "\n", "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 6 Temporal-Difference Learning\n", "=====================\n", "\n", "DP, TD, and Monte Carlo methods all use some variation of generalized policy iteration: primarily differences in their approaches to the prediction problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.1 TD Prediction\n", "\n", "constant-$\\alpha$ MC: $V(S_t) \\gets V(S_t) + \\alpha \\underbrace{\\left [ G_t - V(S_t) \\right ]}_{= \\sum_{k=t}^{T-1} \\gamma^{k-1} \\theta_k}$\n", "\n", "\n", "\\begin{align}\n", " v_\\pi(s) &\\doteq \\mathbb{E}_\\pi [ G_t \\mid S_s = s] \\qquad \\text{Monte Carlo} \\\\\n", " &= \\mathbb{E}_\\pi [ R_{t+1} + \\gamma \\color{blue}{v_\\pi(S_{t+1})} \\mid S_t = s ] \\quad \\text{DP}\n", "\\end{align}\n", "\n", "one-step TD, or TD(0): $V(S_t) \\gets V(S_t) + \\alpha \\left [ \\underbrace{R_{t+1} + \\gamma \\color{blue}{V(S_{t+1})} - V(S_t)}_{\\text{TD error: } \\theta_t} \\right ]$\n", "\n", "TD: samples the expected values and uses the current estimate $V$ instead of the true $v_\\pi$.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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k+MZraXIXrJCZyC3duf8QFtI/PrE1NH4YnWRs3liObMTvM0hp+U+mL/+7Cxkz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\n2RhdRwwUmc4omTXty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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig6_1.png')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ud3KEOXn4uG5PaevRVbQdPRlLeR3LjVwJ/xEISJbMS0gpC29n6UiWGb+ZxLZD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\nGFu+X/5v6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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/TD_0.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.2 Advantages of TD Prediction Methods\n", "\n", "TD: they learn a guess from a guess - they boostrap.\n", "\n", "+ advantage:\n", " 1. over DP: TD do not require a model of the environment, of its reward and next-state probability distributions.\n", " 2. over Monte Carlo: TD are naturally implemented in an online, fully incremental fashion.\n", " \n", "TD: guarantee convergence.\n", "\n", "In practice, TD methods have usually been found that converge faster than constant-$\\alpha$ MC methods on stochastic tasks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.3 Optimality of TD(0)\n", "\n", "batch updating: updates are made only after processing each complete batch of training data until the value function converges.\n", "\n", "+ Batch Monte Carlo methods: always find the estimates that minimize mean-squared error on the training set.\n", "+ Batch TD(0): always find the estimates that would be exactly correct for the maximum-likelihood model of the Markov process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.4 Sarsa: On-policy TD Control\n", "\n", "$Q(S_t, A_t) \\gets Q(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma Q(S_{t+1}, A_{t+1}) - Q(S_t,, A_t) \\right ]$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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1J0bzRqqslq1OgxNqzbamDIccvL5wCcEKLn9Gy4IYlrA1Iw4RISr7hm6D2tM8\nOCH8rubHOmrdVKzvNhAb97VC2Zz3CDyxGX+498cm6vNq1yqDkFAxhoygQWHoCUlm0r+1Jw1AVZJt\n7bLjXExjuwqU/zWVlvY8CfkbHgEegf8EAt/IclYOnchlN86cZvqQBebGhSNYPXkYdtGCAEmohiUn\nt2BA6/rIvL0PHTuNk1qW6HsqpZB076Q8lc5VdMrUNMCTQ1uxdt9Z3A+OwkeRHhxc+qB5A3ecWDMe\njRyM4b92Mtq4bZJYG6ST59W/WTJDaOshj61D2uvnyAShxDLLj9J0KhVsMxHzPBqx0dGIpv+x5GJ7\n91HiMpWUh5JkSCxC+RJ/Ub5kV4mTqJg65SyklklJDubmEgVGL3IXjoaTZkITnWefnQ/z2AvwUTM3\nKp9sXxDxGU3R2sGQ4xB+TqI85WenJ8dY8dknkr0MWVdZECi8kPRsSRzbsCM3fEKagns6Nz73Kued\nGC08vdFXaolUVcdIleESFJxfLl92lWXzA2dtyStTXhqVdwW8d60MSapPqbRit6BAyhgLUUdWYIzX\nTMwiq5yr63gs8PWDPl7iwPr1OHTlNsKi35PltypchvXMw1EZnzwP5Tf5cf6UpmghlxCyxTYFtXEZ\nyxyaA/eh/XT4Lu4ri1L5qzyfUUaU4/eEe2tlGwzFyZMH0cHgHS5uWQjfVNVzTmmWG14wy6yBRI03\nbdAT40f05tqN0GYgxjczRVrgPpXtI43yWDKpN7SfBeLRay20H7sSV3YuQGtzmpsaGgnbwRPQv2E1\nmWjyX8fqpIylxeAeKYvM/excrSSeBdzinrPB7G+eIwtcTCJnxl/wCPAI/OsQ+EbKmRAZQpoXsnwh\nOtmQ+4AC66ytDOhLRKb8qxkN4cCsS8InWLniED2rhipSa5N+KQOOXvbZLSmdcM4iy9k3R9d+PYD9\nyzDFndxbex5TrDaM7Ktz1pWcqOtYdeEpKjSuy1mRoK2TV/HiOOf+ETBXKHWMDgruyEePYziCak3a\nc7855j3Rs045un6Lc0ef0q+eXCWQrDLLvS9Z6i3WkFyDhg6lFY1DMWjQUCw8ydLIgi7sGttyNzYj\nRpHVjDBICMZx8lUVPl8d+eo2tv8YCwwj0YVb5MKiYFIX49pL1M0Gk3aQdWSavNPfsOkc5+rUI8PC\nza3bGXWBQcxtzFsWpWU215K5yrJiYkOpYqCtLbOesAnoPbHu2DzO5ZQZ/jcmk9tKVWBzFMOiPtKj\nMmg3vjdHIrQZhvN7fNH+0S2QAwh6dq3kW2H0aGXD0UQE3OF+S0rzltWV0jIZud8MJEt1uSx9a3Rs\n2QBW0jqlqo7FXLhZYH6KuHMC0B+tDIk2n/Bc8X3Lnub+iktKc5XKWNB7F5WX5KZd8MgAAQHPuYyq\n0WIP47jniIyMRPMZPpg7qh3sWvyMPj9Xw4b50zFu6K84/OYz9AwZb/X4KJdTGWextAxibpEI8Ll0\nSa4dMgU1x7xxgW1chkWpkqVgV8MWZuUkypLs/YkpngXZvUzxVcyHPWeWtEyydD27dw03b/rj6p17\nZO+ugBpqN5X+iJtBb2jBUhMMaO6GP6a0wKeyjbFkngf+XDsEBrEXMWDyTsY6X6jdwBHvz83E8NlL\nyMU+Cm1bTcE11MbsPZc5t+YWN1vc2X8sX7osFhMXzln+zAf3hy3JG3DzGVpOWkGLpvqjjlM9DJ63\nEov618yXlo/gEeAR+PcjUODB58uWLcPp06e/CAk2uX3N2ZWwSk6HUSU2t4O+jtr0dRe9wiH6OGy4\nHgvXxdswuCG5OUVCGvWKEEXbQlSxr0aKRzpuPshA07oVpMkSscO1D3zjPsG8/3LsGV6XZBMhLVkI\nPWNtRJ1cg9+25mDVn7+jLq3yE9EJB59oFdVbURmanEydfVoozb2ZoNJ9oNV+Di5Pa4kbc3ph9vVc\n52YHz7WY0NERpYRpEJGLVJD8AvsXe2DLPV2acO3LzevhAEp4iIOPy+FXmpDOvv/aaQ9VLgqQWRHY\nylBO9jQR9GmxRGr0Xax2n44rUteLpnxnU76tpRPbPwb/hbWprTFdOhFeVsagWgOxZ94AVDfWQVqa\nEPp6KTg0Yww23JPMWmIyux+6gu64jl96z823QpM9VwxsRK+Yr4hTZtmr1AZz107Y+5hTuucf24Jm\ntBpUZaDVrv4nd2DG5nMqH8siGUaT1y9GV/sK+JSWBjHhE3VyBUbSYgiT5mOwbEovWOln4aNQDwZ6\nQgQdWYOJ686i3bw9hANZB7kX8Ban9j1Fm37NqR5xEQinRSGrs3thFa3MY5/6z/TOZvX2QPnF+zGp\noWm+Osbk0ZzfjlzcSWHf7OqKfVQ3Dfv74PjwBrRfXi/aliW3LsnKx37ZvMCTe0bRwIHVeFrKEbwb\nndy3Qd173/SkEXYdmYyqNBeP0WtrqMuyfFqNW4qJLs4wEKXR/C99lEl7gnVTxkFv4lGMsDek9pFG\nk+r1oK/9BnvmTMBWqhs1aEsJZXzKzPsrt5yU76aH5TFKjnMi4RwmxZnlLIS/7zGYuvbjFHEWk3zn\nTxxGO7VtnE2EX4Fe2LVyBKpz7SId5+a4YX5kWxwjjCTrg0W4v2k/LEcNgCnXhwABvntRxnUg7GlO\nGAtpgX+hjW9JXFvjKh+0cA+4P7nvJzdOdmWAwau2wq0O5UR14tLLSmhbzwxR51Zj8MYE9Gv4jlad\nRsiI5b/65tVhlBaF19IVsLIHZWwc0cS6HF7cuaFy9WVGrd9wdo0LUsPjUZX6OQipX+o0AeGG9bBw\nz1I0Yxi8uYWJ/WapdLXK8uF/eQR4BP5/INC5c2dMmTKl0MJ+E+WMSWNuboQ4bkK5AWxsqqJUqUzO\n7J9XUgOiqwhB2vN8nV1eOtmdAbkePpJSwdLRdgtxcXkUjM+GhrAw1Ud8ZJwsgcZfphAsO7sF9d+f\nRatBf+SjlbgE06XlyPe40BFMyVlycg9t25GKzd17Yrd+JVimxast85fm+9nQDJWps48jfFjoPW8r\nehsGorf7BWy4uhWi9YMx4fDLQsv/bQlVv1smgyGVS1+hXEWTS8JXhklh0hY+PwN4HjqOjoVUetXl\n/aXvXZGvAbmEqYXI664BtceP1B4ldSNDHp+bpuj45KbVdMX4am7jTFYtpbasiaPys77rT2OkPW1n\n8vssBGbSfEsiKNdxDObQAhm2sGfoZsnCA+V07J4pVa2cqpH1rSEmuZpidrsl6HhsLYz2jC72NsL6\ngRrmArSaswW9RcfQbuxWcrNvxBDjBHyyqYy3rz+jdNAyWmHOPAJ84BHgEfj/jEBRlTOZc+qrl1mi\nmLFsPpJ7JVRNfh/pI8HcWYUNTDFjQXU6rdRUxNP/wga2HYTXyku4NK0z5jXfnsd6xngU5UOuKc+a\nvQagBmcdMELHCb2xb/4BvNaQ4Evz1UqNR5wUBqaANnC2pgn3+vjjz06wZxvLfreKGQNF9btlT1Kp\nXEV4vSyJQlDPV4Eoz2Vh8xN080RH2sblsueaPIOFPMwKcfOl710xi4+k7Ci2LKaYsaBYNxTpNeGe\nl66odwXjzmT9kpCYyObjVUSrX9rgzfkH+GxcHW3rMte3CKFBjzSyTqf9407R/2xzY4xza4yFNHhB\nsv9XaSPspA9tx4G0rQ0d23Uji5tu4OczmtyiZpi4uD8OT1teqNXPGgvEP+QR4BH4f4lAibkUNEnu\n7++PZ8+eaSL5Vz0TP7+BJwYNMWyMK7KPHcSjLDUT9r+g1LVbd4FZ5mtExLylz0Umwq/ez100+AV8\nC5OUbT0b8V4HtlWroezHO/AatlijYlgYnjxNLgIZtUbj4rxOZKGZgakn8rvBcin5q6+FQNTVw3iW\now9r+/po1qwR6tW2hXb8A+xeOx877uVfrKBKjhIfo5FTqSrKZL/EPq85CPpY/P1AjnlzTB7eHCnP\nnyOtrDkME+7jwetMWk+ehjuXb3+zPkFV+fk4HgEegeJFwNbWFk2aNCk002/m1iy0RN8JYbXm7WAU\ndCnfjv3fiXi8GN8pAuyA+Gbl2KkLr75TCXmxeAR4BHgEeAS+NQLfrVvzWwPxpflFX7/4pSz49P9B\nBNIjb0DzUof/ICh8kXkEeAR4BHgEioTAN9pKo0gy8cQ8AjwCPAI8AjwCPAI8Av9ZBHjl7D/76vmC\n8wjwCPAI8AjwCPAIfI8I8MrZ9/hWeJl4BHgEeAR4BHgEeAT+swgUeiuNiRMnonbt2v9ZoPiC8wjw\nCPAI8AjwCPAI8AgUBYHQ0FCsWLGiKEk42kIrZ4a0oWv58uWLnAGfgEeAR4BHgEeAR4BHgEfgv4iA\ngYHkCMqilp13axYVMZ6eR4BHgEeAR4BHgEeAR+ArIsArZ18RXJ41jwCPAI8AjwCPAI8Aj0BREeCV\ns6IixtPzCPAI8AjwCPAI8AjwCHxFBHjl7CuCy7PmEeAR4BHgEeAR4BHgESgqArxyVlTEeHoeAR4B\nHgEeAR4BHgEega+IAK+cfUVwedY8AjwCPAI8AjwCPAI8AkVFgFfOiooYT88j8B0jIBCl4Hnsh2KV\n8FNyNAICgvA8/mOx8uWZ8QjwCPAI8AioRuB/opxpJdzE0AkHoNzVf04IweE927HrzEOIVMv7j2M/\nJb9BXLJQbXou7+3bceDS02LPW22m/IPvEoGC6sp3KTQnVCK2dO+CC4liuYgCYQqiIqI01n05sfxC\nhGSFtpL47BFun1mGQTvD5BT/qwvlPuJD0GVsp3Z7Puz9/0okLt/0hFeIiIrFh+LuuP6npeIz5xHg\nEfhfIfA/Uc5e3DqOw3+txIPk3I8IA6CEsRXMUv0wtv8VpBYrIkIc7VQfNauulyuEgrRXCI3NVQ9L\n6JnCJMsPw3udKua8i7Ug34SZMjbfJFONmQgR7Bcgf3caSb/4Yf668sUsvxGDiO0eONT/L4x2Ksfl\nyAZBrhX74czjQPzlag2vM5EaJWEWstuXDmOyYUVY7giS05o6d8MEz6loo/u/1zyU+4gylSsgecsM\n9L74XC7vt76IObMQZm5bEBx4DF3K94FfQs63FoHPj0eAR+BfhkChTwgovnKn4OKSvcTuI474PUeL\n7jZy1mJtI/zUvBndC6Ejjy2OCz202boXezKqQrZXb+bjszid0R21qkhixPqV0PSr5F0c8n9bHsrY\nfNvc8+cmwBscWHoDk1s4539Y7DH560qxZ1FohkJE+l/F9ScvKIUusrKyYFr/Z7g4W+TjoJX2AB4T\nS2Bdoq302Rsst+4Js3NPMK5xOQg62KGbaX3sDorDAOvS+dKzCIEoE1mlrdBgSFls1s3bAgXCTKLI\nG6eSyVeOVO4jSprURo/hTTA39ctkE4je4MyBQNh07wxbfUGhSyGOOgbHfiG4nrgfTtoCdLJIh7nN\nGrxI9oBERS40K56QR4BHgEdAjsA3t5yJY28gsM+f2OdhgR2br+azhuQfc4qQGPuM5rt8gIjm0wT7\n+yMyWUaVjmdBAbgX9lzORyBKQ0JCPN6niZCV/IpLx+K0LGqj2Q+mXMEFwlfYvWIBqYCZEArTIJQa\nBEQ5ZMmz1wWInrmCGA9JYG6eBMTHJ5DLU4Q3ERE0r4ddsw9aCiLy0EqTKPykUdoESss+bynx0Xga\nFc9dK5AgJTacm9fzOi3XmpiWnIzE+Hh8FAmRGEWuqTRZuYmPCvpPwmR5PtmUT66bhWSOIpkJw7yB\nlSUY94LC5O4YddgQKPlo1cknECYiPCAADwmXWClOLL0M57wy5L1Lj3+GAP8API2Nlc6dEuHJoXVY\n90GMj2lCpCkwYWUMoHwiExiy7F2kcXh9IO+1IC1R8l6EuXjmzUlyl09WpbrCyZ2WRu8/Gcn0q1hf\nVGGiKg9ZHHOXsrrC5CsoaCWHkAXLAiNPRMG6Zn3Uq1UL9evXQY1KhiqTvr3zNxK8h8NWOtwSCN/h\nMOqjR+2yHL1Yrzp+ddBHTKr6zLVM7NGysTOcajoBWSqzKXRkPlzp/Re1DX1Ke4Nger9PlebQ5bYC\niTgZWZrfMaNifcF9fz/cCngqr+uKhRFrG6BiyceoZ26Ent678FjexyhS5b9OiX0MOLRFdVLMWDCo\n2wUtPx/CE4V2nD8VH8MjwCPAI6AZgW+unIWfOgP7n9ujbbvhwI1tuJGgqWNNxK5+Nuix9w5ubh6C\ncuWq4O8bvhi4IwRaCYEYbVgF+19m43PkMVgYDYM/uUk/vX+IWdYOqN5uJH53rY8f7ayw6c4DLOtk\nB8vKW5FEKtnNvzZi0ukPuL17A5bOXY7zMRL3pliHFLNHHug1ehkCH/vhF/Py2BPBHKwpOL9kGOzs\nrNFl+CTsCQ7H2al10c57JeZ5LEYw0Q4zN8H2MNXO2NcXN8Ga0lak80nn/01Ky6GpqGg0Hrel7o9g\nn1qoMuoWBBlB+NXcGJsC3nFv7fXFdahmZweLZoPh7lQPNSuv4ZRQdfTvbm7j8uk+wRMzd15B6PlF\nsGo2FWu8J2PbbZJ5Uh00XnVDWiMk2I46FoXPL8/Cqvww3E7OVINNflqGtSr50pPvYISLN57rlIb4\n8T441PLl3MQR2/vC1GQ2Xmmoj/HkHmqwxA/aJqURvKwVftz7FHF+e7Dp6B16L5ewccFcbL/yguPw\n9NBMmPTcgeScBLIQWcDH7zX37mf0rA0rU0MYTPTFk+BTqG5qRM9eqsxVK/luPlnTk58q1BUg/ow3\nTC2GYc9FP5yY4QRTU3Nsf8res2pMVGZEde7WxtEo67oRkZF+6GraGcejMiAQvsDdqFzXem7aRKzt\n1BH2t6NxeclYTmGq4+wMZ+fGcktvLq3kKvLSTXRraS+P/vwhEaFQalvltPA38Swo5CinKyiB0nNV\nuH4sYhvKiTqAsuZDEIsMnJpaB019rnCDIaWsCnUbtHEMKnSajJP3HuLq5vaw6r5TPpjLZVAGdXtP\nRmpqPLydM+BpWQFtJ6xHYAGLIF6HB+aykF0JeJuZDAr+l0eAR+CfIfCN3ZpvcPa6JQaNLgk9y5/h\nigXwvfoUnXvXVCm9KOw0xp7pjfB9A1FF5IQjy9/AedA6zDHLxs5GdtA6+QSzWjBrWBNE7JyCGq67\n8Pb0IGy8vwp7nP0wLeUFRhy/AkOnZrD1/QNrGqSSY0YPTUZ7Y8NOX7x1nwMPh/wunmkr56AluTYc\n5u1FwzPhcK3REH0XLMepDc4w6jMDHm0rAnVSMb3+OMyJS+Fo6/icRv1T4Rjq0DBfWex6e2Hbji04\nPPg8lnFl/RXV4Yg2bvtIXhfcX/Qe1Ta0RP0Wtjiw6jTsr0RhlLMpWLpdlG6gzQjsvrEExy58QCmk\nq6U3a+uBEJ/zqH36R1xY3ZcsSS3wt6czHsx/hB1tLQDnBExvcA9J7s2QfXwOxp6bgaR9PcAqwZ3p\ntdBwXzhSVWDz5vg4FbQPiDa/fOJnV7EPtTDf0QGmTg44vvgQ91GtUKsf3BcboHw+dHIj3oXuR6k6\nO/BjDQfUXX4SkVtSYd7CDSvNBNh2Lgtzlgyn8gPi+PNwHrYGJ6TYt7u9FIZN9mMMuZI2+S7H3gaR\nlHYSWM14a2+Mio36oGHUbbQwyeuuynh2K5+sWSb1sEBeV4DnoQnwfb4fPUwysOso2Uo9DmGEgyHU\nY1Ivt0DSq7Dto9BpWi2y+HpwMtXdFYgaJx7jqeM13DIZjp+UUojCjmGa4zqkUj6FC+kI3xgO9JVZ\neslS9DaSS1pSiUE5Q+UYJYJiuFWFaw69+aK0oVe3z4H8hejq3AI/b/SFt9VuRHi0gr3UQlVYMZm7\nd9vLzki93VWaxB1eIhFX51XzKINanUfiROowvPQ/jpl2lgjpMwubpw3BT9YSK6RiOh3dvHWKeyb2\nxytmHtVntZUPPAI8AjwCRUfgmypn4qj7mHf6b8ROiCdJ32MP+2zvuIQkUlhUjTVLGLLYGCSIxKSc\n5eAawjG+lDa00h7jYFgaWhrpyUtsYlMLuOmHCOFA2GWQT4aUpPKkiFWlOSQsCFmcPGSR10aMrBzm\n4slVzgQ5ROO4HPWkc060dY3oKyedyyLKoLG/HQY5sU++lJ/WIjktZ21QmqfDEXJ/spCaJEIdW3N5\nVK0OE4BFpxGWNhDDX96A0dEzmEa4CN/5o2ZzLyldFj4mfcKgbtUh1rbCL52rcvHq6UGqG82h62Ir\nSc/JLMYQB5nMzJKiSwqqENdPnQU+v8eyVUmEEhC48BWarmJlVcZGiDsaaJXlEwgN4HWjEWzKeRCv\nJli4fyXYLEJtZxfMK2DKmGXryYho0wqG7pSg2SgcWzuLLqRYi7M4VzD73AmT3nLx8xf4ILisAFlC\nqk8/GOENVScd9p7tTTkljhGVru6M7ngK/+gPpJzlrWWlav2sUlbFumLXeyJqklIXtKo7xp4dhJB9\nHejDrgkTTjT5H4HwMZa4H4fX9RWcYsYemNg0AAaOxYQ+A7FuS34FjBzywIHB6Jy2HYLUXOuXVtId\nWE+6hdUqBjO69tp4nZKrnJUoLVGDs+WSSC78U5VjlAiK4VYdrihCG6rmug7X9A9inpcXMjNjSCP/\nAG4BqX7RBBTrlYJowyAYbpBgs/9pIjqbSdu0RlbasGrsgl2pXXDRywntnOZiye1XGKOkMOeodKnW\nREWD3L5JYzb8Qx4BHgEeARUIfFPlLPjEaay8fwXDakgUooUDtsC8jQf84keih7TDFLB5XxTYvBIt\nMyu0FJ/HIg8vGL8Lw5Rdt9DKWAAx06lYUOhjxdx1miSe/Q3P4njkRqi60iPX0mNsOSnCb71JuWNB\nIV0+9w65K8oUU58rypF+JLVfY4F5Y5yd8ReOr56A0gGmaHUrh+bIJCBDX49TIs1NFEfsRG+pjt5E\nUgZFPVTQGJXLKr9mbZhWJhfupJHwcm8tSePuSXP62AdMlliGTRbsNdAyJVdRvvS4BLQJIguiKA5B\nASfwa98GqB6Vgs5KVitJpnn/ZujUwZOYKCQ/C8et3bPQY8B+vPYfDm0diXWCveJIP3/oGzEZm8Bn\npifqSxXpqTNoNiAVM4fRkhGpMEGdrFJEOBaG1jWQFrAezWffw86wC7BODsTZ15Ya8Mubc3ZMCI6j\nIUZXzX2HnPuchKw5op9cYVNMVULHBJZ9duDMlp6K0Rqvs8JF5NrPfc8lLW3QUiCATm4UkPQZ7vWr\naeRTHA/V4dqFKVaFbEMBqwaizZzqOP9kERpXiETYDg+IPiZDqFcWin1EQfI+2rkVdudC8a52GaRR\nBTExVug0NCYW4sml/Zja0x0ZQxbiWlh/1K2SX5E2MLdWySUP7iop+EgeAR4BHgH1CGipf1S8TwTC\nEGw8aIluUsWMcTdwbocRpGEt/jtEnpleacmHmFlIBMIcVOyyEPO9xsFr4UaMb2PLuSPEejUwuo8J\n9t59Jk8XdMwXGDwADnoC+cdc0akg4yv5VpWAuWMpPIv7SCadTDx5nc7xkdHI0ulAIgv3UJs6dXGS\nPD8Zrezbl4dWTpV7oVuuBJZck2kNItzZvRoYPRQOcfewhJycKzy6cNbDh7v/RBiplcFHN9IcsBJk\n51KQgdjlRGmiFxOaVCaZBU8qc4ZUmS3BYcsUG23YNhkArDiGZzJjS8QBuCy/T8+UsRFqpFWWTysx\nEJMOPUelGnXQ0XUWdjWrg6TUTLz3WwcXr2M05099eH/+Txx7Zwh75+YYsXodmoe/5xRszqJJyUqx\nuVtHg6BtUxctcRshL6msXCCFtfsMRMvKIn5KM8Ik4cODszguaI92P+QqR9JHUCer4rtl86f6t5mB\nSScf45cqWnjnfw4PU8QaMJFxl/zqmlaliw/QkVt80uG/zxtovhnTnHVp/zHl6e005qjRFqMfjcPG\nIE1oKeZTBj9MakRKS26cWM8CHRGIUw8ki0AEwufYGPYRVTkFLh1nvAZg3pknuQkUrri6nJKiEKN8\nqTm9OlypYRayDaUgYM4t9DwyGY1o0Jbz9BZZzc2Q8/AgVt16B9n7ydNOZXU+j6gp8L+ojc6NLaCn\nb0yKmT5e+l3GY42T9dPx4PgaNKHtRMZcEmEBLd65tHosKWb56w/LqlqDtkDYJTwn6z4LHx+cxjWt\nn2FZhBWfXEL+D48AjwCPgAICJeZSULjPd+lPqyOfPXuGli1bwtw81y2Xj1BDRE7UebhV74rD767j\nRnYt9G1Zg3OtXVs1C5OvBiHhki+ConRR0z4Ts91X4NHLYESWskSnuqXw1yg3zFi3Hps2bcDK5X9g\n8Qkheg1uh4Ydf0b2io5YSvrE20tL4Pa0K0LXucIg5gKGDB6DpxVeI+zuezi2bwqj+GsYM57x3Yc4\n42Y0j8UaFUy0MOKXP/D2RQQa/TYYNT5cwdiBqxD6LphoqsMm5SKGDt+Ed1fvQeRYE09XeGNzWAB2\nP9FDW5tkLJ+6Bg+IX2SpWqiedh7Dh2/laHPqtEQL27zuM2YHDNm7Hqd9w5FUKhUh2yZjTM5YhKz4\nFRXKl4VJ1GrMOp0MwePzuK1TE/qLPHDGejDavd6JAXtv4+a98xBVaIoWNU1Qoqx6+gHi43Aec4Bm\nsUfgs5ExovZswMaAm9h3Pxl1KqZg89yNJPNBBGnVQ/9BA9Ct4lU0an0QFS1fwGdzDGbPH4BKJXXy\nYeNcrzk6qqCN2eaFPkryid4HY8rQgXhVypQUsl04ZNgTHr1/xMdbvpgyDxjn1Rhl1NSVxNBD6Nfn\nEHQts3F57WqYz5yAjrYmKKlXAi9XDMWJNy+QXKcrevzkjF9cHLHgp2YINK6Ae5v/hInHPHSoUgai\n94+wbOtibIwCzKLOov1vodj1cCtaVyRLoVJQJeuEhh8wSV5XfoLg8DAsC/oIW2tThJ36Cy6ef6LN\niKlo27ilSkwqlcyrTIv1TNDGOBgzt4aiRMIDrF16CMbdh8Pi9ArM33Yfdi5dYWtQQkmy0mjYqx32\n166HSW90YFVajIS4WLyiFbvvPxvBrKxMLclNpicKxwB/A0xtaiWNLA2nPrUxu6knxPb6uObZH5hz\nA3OaW9DzJFyY5YX5NywwblgDGgBIAlugsNZjLDaeicHL45cREhICce0mcChPKrjwNa7Q1metGlZW\nm17Kht5B/jowuUcF7Bo9sZBtqCM6timByW57oGccjQPX09HM9DYmLcnC78NN8IfXKnkf4Zh0DPVH\nbac6f1feRmRygBz2lsYBcHSagsiUV7i2zRX7RD/jt9Y2ikZ3KXk67m33wQ8teiL5Rzes8t2KiV2d\nUbG0Zkub2MAGLpZ30cjnAex1wjDa5SLWPFmLevneaa5U/BWPAI/AfweB+Ph4+Pn5wdbWFk2aNCl0\nwQViCpqoly1bhtOnT2POnDmoV6+eJtJif3a2nzUODLshmczOcU/H2eF1cHvEPZq/JFGAmPsvFfqo\nYFx0fyPbeiJVpI+y+jL7V7EXQcowHbtpAUOKbwTGWebgnVA3n7zCtGSp24VMLLR1hkhbj7MSqpOo\nqPTq+AhoKxG2ZYixiXGe/FRho442D2+p7J/ovXykjyOzVhQ2iGibDCo2khOSIdY3Qdk8r1RIWzGQ\nnHn40fYMRFuCaGVTfERhW1FuOK0k9R+CrIS0fOXKI8sXyCrjUyhMiJjh+UHI3GoSPFThK+OZ+yvC\niyB/3A+L5ZzNAtrnzKBuR3Rzyj9IYhPfu1ish0/i1jyT5gW0HUVY5BuUKG8FuzzWn0Ts8L4Mlzm/\nyvf+y803/xWzIM7cAcxzly1fSMQm70twndMnf/piwJVJwLZGeU8TzYxNTKhusq1YtKH3D5pqFm1h\nEvM6EZ8NzZUwyC0n2+fs0ulHsOnQBlZkfS9qSKEtYKLfZqOCjT0seKtZUeHj6XkE/rUIBAYGwtvb\nG507d8aUKVMKXc5/0NUVmvcXE5r99COOXrqLRQ27wZw6vNTYUJw4kIRWs3M/+LrGJqjwD3MqoWcM\n1c6Kf8hQTbKM+EjEhGVh3bEr6DG2A8xVzHthbhe5LlKAYsayKSq9GtEg1tOHiTzjXCpV2KijzU1F\nV1LZtem9yCwyeZ5ruNGWfnnZxzh/0CPFTDlWm/twy2LZx/xJOLnqCOto2uqjNimcGsMXyCrjWyhM\niJjhqYizKnxlPHN/tVHVqTn9z41Rd/VZvy6Wr/yE3w88wTnXH+RkbHNle6dK8nvZRfylP3HLpgcG\nyyIK+GUT66Fwdkb8mU0ItOmJUarSFQOujK1Ym+qmiayt/zPFjPHRNa4EW/qvKYi1K6FNd800mtIb\nmdnCyUwTBf+MR4BHgEeg8Ah8szlnhRcpl9LJfQ8edhJj9/LZ8PKaiRV7w9A/6Dl+rfL1twPIleLL\nr+IjIlFx2wYsq/AOIXEKixa+nDXPQQGBT7RH2b0EJ2zb2hD3Lj7It9GvAum/8rLG0NVwPTUCG8IK\nmqsmRFx2C/goKHGaAInzO0L7Afrgoty2Sulp1l9h02vizT/jEeAR4BHgEciPwHdtOWNzRqq3cMFU\n+v//ObAyVP//XID/J7Jr0R5lQ0d/W9f79wWNEQbuO4eY+M8FiKWHep0LP/fB2Lo22vWtjh6V7aR8\ni5a+AGH4xzwCPAI8AjwCSgh858qZkrT8LY8Aj0ABCJSBZTG710pXIZddlQKy5R/zCPAI8AjwCBQb\nAt+1W7PYSvkdMspKeKXyjL8vEfUTnR+oeDbnl/Di00oQeLpnDfxo/tr/18DOfn2udDalYlkKeq5I\ny1/zCHwtBL5Gf/i1ZC0uvnzbKy4k/518voly9jkhHGfOXII/HWh92+8STvk9KnA+EDskOo7bElw9\n8IWhYauwrhzai217TuO1dB+swqRTn6vmJ9nxwdi3ah7NkfOi/944GhCTLwE7fqhnt11IKWa7pY7o\nFTwtfkdwAYd95xOIIpLCrmDB8P5w8zmGd6oIiiHuc0IIDu/Zjl1nHnJHOn0Iuozt27fjfNj7YuBe\ndBaCtGic2rgUEyZMwFyf3QiRnnWqyCkjVdN+X4qU/6trtqLzOvZs/xsvZPu8yUVJxJbuXXAhUb1y\nKaY6GDjvFyyWnucqT1qMFwJRItcGt5OML9XUzUQ66P5DPvmLUQhixT6GsbEJXN1TrovFm9P3y40r\nN7W5A5eecjh8bUlfB5zFUu9pXH841WcbnVWamS/Lr9Uf5stIQ4RIKNTwtOBHku/MIerP1NdxZS7f\npO0JUxAVEVXgt1RZNv7+f4/AN1HOSuhXROWSz9GxYxt0OPoCFczKqdhnSBEMIY52qo+aVdfLDygW\npL1CaKxs01FGm59GkYPsWqxtAPOyaZg4er70w1C4dLL0hf8V4eEeD5jUXIQy7X7DgiVLMG9CV1xs\n44R+e0IV2CRiZU1vjD3phaoKscVx+dmkIbb61Uaz8ceK1PGybRi6NVqGJlPoyKSFbgjXuEnnP5e0\nhLEVzFL9MLb/FW7dX5nKFZC8ZQZ6X3z+z5n+w5QC0QvMNHfGcZMWWOjjjfa6O9B0/JF8gwY6BZZW\nDf7DTL5yMlaG5f16YNX6GRgdUQKVleSM2O6BQ/3/wmgn5X33FAUzQp8tvohp+zsC1ChOitT/5Fqs\nbUQH0KfB3X2JfICkyEcgfIBqDg7oc+yZPPp1wHU8K2Z5Mh9th4ODNW5S/Vaui/KM/x9dFA4jIYL9\nAuT9aAk9U5hk+WF4r1MKa28LW+i8vDSlEghfYWs/K/yw+TV6TpiNJUsWYGzDTLSyq4jjURkKSVX3\nh+yIvo2rTsnlVkhQ7JclaLBcztQU/l/Q74m1jWFe5iXV8T/xvtCDjK/b9rQSbsK1Yj+ceRyIv1yt\n4XUmstix4xl+PQSUuvOvk5FYrzzqtGxOZxyWgNOI/vhJ4ZQA1Tnqoc3WvdiTUVW+h1Lm47M4ndEd\ntarQ2ZFcyE+jmhftnt6yGR1l83cR06nmpi42aGMftPAyx923+/GDbJ8ks3pYQYdyV2w0FQEuZ+BM\n8SmXVmPu6AVILcRxRury0hSv59QfGx7ZwTeio/yYLE307Fn6ywcIdeyBhjWa431MHO0bVvR9ngrK\ngz1nH+mfmrOTNoWccl7SpDZ6DG+CuamaN/osDG8ZTWpUMC7cDsS7LLacJAsZBrUxrHcT+VmbMjqB\nMBVXaHPgpT0awJB2z39wNwK6ThYcXcyZtZh3/hXKlxPg8fJN0HuSgHOlBBCSBarVtJnobi2rgzJu\nX/bLBh7XL1/HozghdHXpbNOs8ug8pHeB+23dWz4M53r64kK9qwg4VEG+lpJJwxRuj4klsC7RtkDh\nxDRMmLOzCmpsuotU94YF0hedgLYEaaLYBvNyEOvZ4eb+/chpUFn+IO7KOSTbNoOtim1e5ERFvChl\n8wv272qA2lS/xchbF4vI6rsgLwxGArzBgaU3MLmF5GBbtrVKU4U2WJSCKPNSl5YNGhaaOmOJx24k\nzWFn0UqCVYtxuDzjGNrMOIG3+/pybU1df5gU8jc8D5pggLu6XIov/pNZCzwNewrjL+r39FC5Atk6\nHHvCrgh8vl7be4Pl1j1hdu4JxjUuB0EHO3QzrY/dQXEYYJ17nnTxochzKm4EvonljBOaDi5PoS5R\nwB02LtmUMyE+gbNUZMdH4ykdkyIzeLP9qrQsyAL0gymXlI3Cdq9YQJ/0TAhp01Taq5TboFKRRgKM\nENFBAbgX9lzOS5a35LmqdLS5ZVoabXCajGT6lfGX0IvwJiIY94LCNLpcMsP2o7nnRawMoB3GZYqZ\nNMPS1ZuQUnoHoTHM6iekXcqDsHVsU5k4Cr+UV1SExvlBCsQcr1cRESrmmJXBL2smYfux3COx8qbL\nf5ecQI5MOirpXZqQLAr6XGfK5q8FBwSQtVJy/A9LlUYYJdJuxx9pk9FE2q0+Li0nPzNpzCfa/JSl\nf6qQnj1STpGh8uBoZbaFwSYdF71bo/KPW/Gpoh0a162FWrXqo4FtFZVWWrGeDmrTYGHjlltI0auE\nvmtDEO/JFEfAsvN4bF3tA585S7DYZwbGei+hkf8SrNriU2jFLIXVaaWyK5eK3bNjrQzM7cn1aIT6\n9SUy16/vAENtzQoyOw5t9aIKdAh6ZXxKTc3H+u2dv5HgPRy2si+jnEI1lmYd+qH53DN4Jacr+ELV\nO2ZtNyEhntvYOIvq0PN4af2h9i+moVZJagNvqN7G0AbBsiAiC5ll48b0UZMo6Zl0ooj7wiAIMqk9\nUpukU1Nps+EExCVkcq7JqKhYqoOy1KravCp6EbXhsmjcog4MpUkV6yJzawnZfy4/RkD9At2nUZtQ\nF5i7Npzq+MOIOImlmtoFo+f4sE5KyoPdy8VFOtdHPQyLydNHsT4wgHhFUhlZYDiytvaBshekJSKC\nXFPvFSyJ+THikin9EeHJoXVY90GMjyRXGicTScXOL7anXQgpD+byYptQ5w2qMVXFK286yR0bNCzR\nGo1wBcVMRicQvgHo2DVJKVX1hwz3NITfuATd7jWhw533K0stBOvzYpJlXwqAtTPJPFty31G9+MCV\nUYhYVkcomUCYyJWR4cjeB+tjY6QYsxjm6o6K+gDjKmacssiwls3RTOfa8HuFd8dSsMD45O//npzZ\nBtvffpIbFCS0Bf/9J22vIK4C4TscRn30qC3ZyVOsVx2/OugjJlV9fS6IJ//82yLw7ZQzpXK9u7kN\n1nbW6D7BEzN3XsGj8/NQ0Xg2N29GQPtVLetkB8vKW+mgGSFu/rURk05/wO3dG2i/peU4T4pOXhrG\n/DUmG1pg1ctsZFxfhopGU/BYoTOTZa+cLv6MN0wthmHPRT+cmOEEU1NzbH/KPnaJ2NXPBqOOReHz\ny7OwKj8M/ionhqfj5IJpQLPl+FWFRVBy8PUn0DGh1BG8wrkzIjqIXNlS9IZcAK3gc/slQtc3hOGq\nQJm4Kn+1EgIxmnY73xgcjgN9KsPQaFieeWa6RhYIPX6/UC6Bz8Rr/dK1wOcTWL5gCS5FZSL+0nKU\ntfJBLOUevr4HbL2OcrxeX1yHanZ2sGg2GO5O9VCz8hqVeeREHUBZ8yGUPgOnptZBU58rKjo4lUVT\nEVk4bCK2j8UcI2+kpqxFn7ZN4OTkDGdnZzRwspSP3BWZi7V/wNLbWxHt2QUW5SfgYnSqSrpsqn9F\nC+zcyVZosPoywo5MgKGhIVaoOSNTHHsK1bu/Q2BSKuYP7cLJy2R2dnZAvrPqlYR4f2UXToweAXuK\nV/60MtLISzfRrSV7qhjUY8k6704/PMBjlXVckYfkWt07/vT+IWZZO6B6u5H43bU+frSzon3XJMqj\nsfgCWluMw8XISJyY5ggbr5Nc/Xl/8y9YWlrCfFMwtZE3OERnWYaCjh1bvRxzFuwk92YCLsx3QU3r\nijDo3onerQMstrA2oq7Nq6K/hVurB1M+bXEvn/tKhAd/TaS2bwrTdms4BTXZfxN377j8Uh4lSoZE\nduxVdCvXBZdSsvFie3+Um3CUlJ9o7Bheg0vndjKaTsV9hYnUn5hWdMPF2ExoJYdQH2WJ2bffIvnu\nLOqjxuMFMXx6aCZMeu5Ack4CWTss4OP3GgzHGT1rw8rUEAYTffEkmOqKqRE9MeAU4QAAQABJREFU\ne6kGo/zzCuP89mDT0TvAo0vYuGAutl9huZEFW4cUs0ce6DV6GQIf++EX8/LYEyFT8FVjqo4Xx1Dh\nD3OluS+8j96+g1BZIV52aViFWfCyuAGTqv7wc/x9rKOjxjouDMDPH05j4U6SnwJTRn82bIkzpLAe\ncu2NY/E5yIk4ilGTpuNXc2PU67cIpze3glWl1QjYOANTFnuiTZe++HX8ZjwI3gurVuMxffgg7AkM\nxxrrytI6mY5jHlOxZvGvGLLnMeXyGmuHj8esUV3QqV8/TN15C3fX98bP20M4GdgfJvP6LlXheeIq\n/upjBcMuW6R9YCJuLH+PYT9VldMW9kJz26PBDCmCURr/5xo2ZHl+/pBIbUipTpTTwt+3o2Uk/O93\njkC+cfW3ktesrQdCfM6j9ukfcWF1X6r0jeHrOQRxQm9Upf2qFvj+gTUNUqkR66HJaG9s2OmLt+5z\n4OFQmhPxMxRpmBvnLR2FLcKEBo3QktyJK72qYl/oNPkxT7Jyfc7DG3gemgDf5/vRwyQDu47SZ87j\nEEY4GOLN8XEYe24Gkvb14D7ad6bXQsN9D5CqtI8WO1D6JJ2L2XtXK5UjpvR4ZosgZcHKgEZxkdRd\nO3KnHcjkYb/CoCOY9LIP3rq2Q8qhdqyP0BDokG/rjsja/xALO1shzSIKczuLUUXBYlfS0hZdKSdF\ny4A6hmxvsAUrfbBmcBZWLBmOktS56vf0xsmYFLQwJuuN83EkGtXAsEa1cbC3F3bt2IKBNiOw+8YS\nHLvwgRttKvN+dfscmff70RmmLfDzRl94W+1GhEerPMcKKadRd184bBJxaqIQq982VcdGZbyOVXuc\njnmCKPqItWzjCC96909otK94cqWOrh6yVWk/KjkCQRt/Qd/QIXh9ehAMRU2wY/YJVKuo2g0asncV\nBh7fq8K6pYa5PDoFx/vtwqgTEp/Px4wslNNVVPjTEb4xHOibV3DNWGqToy8IN559QDvp0Wjy7FRc\nqH3HZs2w8f4q7HH2w7SUFxhx/AoMqe6zkAI7HHm+Fe2YS79zMHIMbale+eNg9/HUF/ihNrmi2U79\nbqtP4vAOD4xaMAfOUgui/ept2P1XfRjNOIXtJmG4kmNNbT5aTZuvhD756B3R0W4xWq7wUFEabTQY\nvRGXU2+gjbAhOXmpP6ntDLcxe7F2TlcV9DRwo/qtu+s+fm9bGWh7BA8M7XDRKx7j9sWgrk8bdDx6\nGxG2ZSAcsw2vl/SgvkGECxN6YfOMv6kPaQZxVDoVdiXinp9Dx2FrcCIuBS3JHdaOpkEYNtmPMcke\n2OS7HHsbRCJyyyQwH8Jbe2OaItEHDaNuq8RIWVDzFm5YaSbAtnNZmENtW7FeM9ppK+dweTrM24uG\nZ8LhWqOh+n60AF6yvNPfRpFS8AMWtVC1s6MQ4bdvAGWbcORsaoFyf6hl1hBTfObi6A4fjF+wGE70\n/rXSQjDCqS8aXX6OEc6GOLt7NqKTMhF06j76zxyPg6fPof3SxXAr1QOiKpE4+MAI0weYo+nPL7An\ncRpq4DGOD2sMneVP4dHYFMePTkRgBtljw/7GoTpDMSVrJpq/z6B++CYie07AgJsD0dd8Ac56tkbC\nmWBMCs2QFk8Ev5ltMa3WNnL/d0BCjSfw2WXAfR+0kh9jjqAVblRX3dZl+LBWEOwfDcsGTgoDMPVt\njw1Wzu/aQkq8ev9+OqnBY2YMQ1WFr3nW20guS+Xt2ssZKsfkSsZffV8IKLzOby9YOlNnuthKMia3\nBwTl5EII6YOTG2geDo0CsjiXqEQ5Y88UadjxNUevH8XfO2fg9w8ZCBRnwkVHdfEU09n1noia9LEI\nWtUdY88OQsg+NkdCiDunzpI16T2WrUrimkXgwldoukrxA5grHXPXtrRh3adySMGppaupjAtQi81D\nIE+OPh1MXV6JrEx5GxrJ9kZFw+loN2Y9QhbUU6LIvU3288USQV8EtrfiIp/fOANaaohc5Njojj2i\n0XEhA4dHeBZnIRC9ohGkwE1BgTRCS+/a8IpOIG5m+Jj0CYO6VaePqBV+6VxVZQ7VXNfhmv5BzKMV\nq5mZMfQR+gBu4a3sJB6VqVRHFgYbgfAljojPYq5LPzTLY8v7gCib33GPlP+8XaYIAavGY3lYCs4c\nOIV9pIim3q8Cw/pz8NCjPRorzBlxHDqF1OnCBYHwMZZ73sfc60e4/LKjAnBN63dsMFNdb7QNjbCr\n28940SxvjbiRZI0rF9egvoIcihKIY29gojgDzZaOQJeldBbpjZsIHbObPv/1uA8Fo9W118brlLzK\nWUFYsjZW0Uh1m1HMn11resdcfXJoSPVcD1W7d5YkZQZIat9l5N8YIzSdYYo5XL2yIWefwiifmZkp\ncM1dVmeEGRALOuD3umWho9cMHej5Zzp8TW2bV0EPIbMFqw/1+y8BHKbjludtWB4/Caeh01USa6W9\nxjVxFs4v8cGq6MpgZ54GE/pmpDCA3nVjz4PY0OVH1GvRHSFkyWV1jx0qf+SvBKobdTieAus+ePfO\nBeLne7n7+Qt8EFxWgCxhPPCDEd7Qq9NhfaC9qVypKl3dmaZIPIV/9AdSqlRgpEJa7l2QrCSZnI8g\nh/g6Lkc9af3S1jUiY5akjmrqR1XxUs7yfeQzKqwVyqioRloJ9/HHgQQMOtpe3h5V9YcfHpzHo6Zd\nYCdVzJ+f3Ynj+ISSR9bAnRYYWHRdhyk0gE6zmA6L8M1wdVyKDVW0qD40xKSRjpybNmhOA3TYeYEb\n+GSS0nVcayZekGLGRr73T39EraX6EJTtgvUWbzHNMhBbn9aGjkF1eFeOwdhh5XEkphVXtPDrJ9Gm\n3gjuukT8DXTdEAffp63lzxr2HMHhmhROSqdDF9RQGCRzREp/MsMOoVnHSfC6/grTnWQOdmZLVN32\nxNpV4TZnsRKXgm9LlJb0KdlKpP6pyjFKBPztd4OAiib0dWSTKAyMt1KWijpYgVnrUSf3GFtOivBb\n71p5qJmJ27b5YPxxMhRrWlTEITpy5hkpWcK0kiillKViQkPrGkgLWI/ms+9hZ9gFWCcH4uxrS5hW\nJuVm0kh4uUsaItw9Icoz/0HGRYcsDqR4ScPbsPt4bVgddemQ6WS/rRhzI5n45ioHaTdfksMU8s6J\nzYl4lmNPE1KD8DL0Ohb1HY99Ll0wTY314nV4INC0OypxZUrBrUWh8ParRKbvWBhZV+E6CsnqwiIB\nKxNf+vsOGSL6WEo7x4yUOFAhucA6EXMTzSeSBqwaiDZzquP8k0VoXCESYWQFEX1MhlCvLM05lHyE\nJZ8WpWyVbguLjVjPCi4OnbHqyF5u0YUSm3y3AmE45s8m91vSbawYchs5pDAIaBf8lvkoixaR8zyA\nPiINMdqGfY6BVzdPABPHwCAhGu/1q6KCcsdNr2jUyRNY2kKVYq+cN9VlkR538Hfgdk86gfwqTrtL\nlHjusPcmL5FJuoUkZ+rsw0WwUFC0CoOlLtXjl0oKnbIUsntN75ijIWVf1TvOHS+JkMn2zqgk45j/\nl9XjnIg7eGz6E+qwd0SKd46CvllQm1emV85BuS4KqrTChmZjsHHvIdSOqIbfXHMHgoppJe2LxkRb\nF8KdlAQWJnjOpv4hl0psqEWDEl/s958FL1IK2NmkJtCiAWYukR6dJZsmZO20CXxmesqV8akzyKrD\nyq5D/Up4Lk9VV4oY1WaWbqUgZjwoMNUr0s8f5Vo0BlcqhffDZgPKgiZMVfFSHBQyHhVsrOhvhHSF\nM7MSRcCkbn1Y6H3CqflDaeHRbBxry2gkQbk/ZLGRF3fD1uUw9WWJeBTxGYKEYJSccQHbPBtKU0l+\n9Gl+LBuc1hy4Ql7vufNYjV/j3F+J6D3ZnCN8ziz506ZwA9iciJtYLRiCAO23iBaaoFLEcexxnIdp\nOglIIqutcVIQTmh1wwrCUiCKxL4N79D7vi65Fd/DPDWSKqEbHCswNN/g5oZEuEmfJZHMTX/bjhTq\nhyHth/MIK70p5dAPgdcbwcQxVzFjj9S1Pba44s+ZqxCl0XJmid/njqbFM7nvv6SlDS2CEyC3vVEm\nSZ/hXr+aVBL+53tHgHqQbxPYBGymxKRksCG0JOgwK4fMHaNNFV6cBJler1daUtEkelUJmDuWwrM4\notfOxJPX5BKgoEgTcXkj+SK8MKgFa/iJuBuWSY37Ha6eDaE0rDFRByVhliedVvJd9G8zA5NOPsYv\nNPp6538OD1PEsG0yAFhxDM9kfWnEAbgsv8/xUfwj1qsGlz7lMPfwfbz034y1QR/xYu9mXAw4gS7d\n5sH7ciTxlZiSxXqGZIB+RBPpczvDzNDNNIdmBLKqWKNh58EY2MyI5pDRl4hsCWe8BmDemSeK2VEn\nS7i0c+A6I2HQcXiRStGuYjxWbg7mOmBG/DnuJU5Rc5eUGoinSee9J+xSu3+ZIo6lq9ZGLfE5RMSx\nsTb1RdRBbVsej1E/VqG7Elwnwj1Q+ycFAXNuoeeRyWhEVoScp7dwjSxuOQ8PYtWtd3LsZS4Wrjyy\nOqDEUz02SoRko+k6XBcTV18l+0VhwxPcf/QB5jQR3Yo6tZcX9pKV62dYqrFWKXNl8/4mdvkd12nu\niyyUrEgYCQy5VV+sU13vfhXe3W1wb9lmvJARKfza9xmBTT//oXJupAIZdxmxfQBMf9mPlOSbaL3C\nETdG1ZWTSCRIxfOwc9jM1RdaoTypESnCchIUBsssOKGZrUTxVlW+XG6a37G2VCGQvWN5OrE/XsTJ\nhHqLixsSMLGBNfdYsR4ISMtJpL6AjePSY6Ili3GU2jBLVJQ2z2WixENW73PlLIOuM6bihPtvtLVI\nxzzWaC699I9Yzx5uQypwbV4WH7TKDWsepdIttdsJLoj1DEHS7XVY1PFnmifFylyRrOImWLzignwO\nW9iq0diWZUct+DZCaJK8JNC0he4zEC2ryOKn3GCOPfvw4CyOC9qj3Q80yFGFkZSD4g9nJaOIUjRQ\nvXU0iGsfyuXmsJcm0oSpKl6KebHrMha0qIX6j/tPYnGBFtI810nBFtpD8OYhL/Td0QE3rkhctIxW\nVX/I3H73ViTAvZMNXm2fjZ3xYpQmy162vDcj16L3KOmcMdo/b2EI+javytjJgzj2ITYL+uNHM9bv\npuMOzVtzb12De/7szFY03tAPqQdW4k6qCJfXbsakZe3waL4P19dHcwOqZpwb+f/YOxO4GrP/j39u\n3UhSSYUipIRIM5ZRocY+WbIMZsYYy/wY2WIMMtaQ0YzIzBBj3zO2f/alMbIUshQKIVKKuqWo3HTr\n/r/Pc5fuvd2brDONc150n+c52/e8z3me+73nnOf7fX79KLa2D4aLaB8WXsqm/PTtpOeMBjQusyPW\n0UsPk9BcdASBJ2/zMg/8mLZW/HSUZ6z7/qkKB9ozqbmnVPXeUzaEDrhl/l5jJ2Ps2LE6/08d2xd1\nVBQzLr/U0AbdcQkHLsteyOG234TEPUN9lR9sqvWw438fAf25FMoSKzIyErdv34anpyesrWW/RMpK\nry2uMPEEfvhmHq5WS8G+Y8eRnGsLRzI50XLMDtIcElBsaobErSsQEk2bgI9ko+1HUizyC8b1pO1I\nNWtPe5fsYGmhh1F9fsHj+wlw/d8wOOSewZjxS5RphnRrjZshf+BilRc493/HYdrBDvNGTULtPn1w\nJWABmZY4jch4AdxcCjF7oiLfJxDs+haLSaFysLNC3IH16D9tFTqNmorObp7oXvNvuHb8EzVt7yPw\njweYPf9r1KpU8utE1lYhmnT1RrW13vh8zj50GPIVjG75Y9gEPXqxgDaxGiQh1aAmzLh8ekYouroW\nj9t+AWf5SwH6evlYtDwezZsCx4L8cLHrb5jduQH9xs7CsVl+mH/aBuO+baNcpLR0aIgk71nUzrsI\n/fshmQVIQfjJW2j//Si41KDZPgo5V/fiWA1PjGkr6y/R2Y34YcEpeI0fjLoa8hfSRtuxQ4JxLT0W\nZxKf4pPen2N0P0fMaT0KN8wKcWDiEIjnHcSSXk1wMWQaBm2LwpkL9ACybAePxhYyBGp/DVHFNgc/\nDN0KQ7N72HEqD+2tovD9ogJMGGmBX/h+jcWdKrZolrUXrUavozFwXmt5utmoVcif1PioO+r+NRUt\nvY/DooUpCjJSyeBoIh48KoK1jTnxVAnCmvikhRCf9+iLk/SW8OXtAViY+DGOHpuChhp8VHKpHb54\ndBlf/DgLBu2GwMvBjI+TGpmjyaOdCL6QhJjtx2HcxhonabynthiG71zrqOXnTgTV7PGtx304t+iI\nTLMmMC7MIpmT6Ve6CKZ16O0xFaEr01tlQfPHY+nS+1h7cRM61uQUeFmQZFzH4jU/Yv25Opg/63NY\nUhsMJfH4OrIaptIyOhdexlIvl2YSf8zF8Lkd+bcZtbVPVhv3V3cf+w43hf+Ycbhl+RBx5zPQrGs7\nWNIMrECShWvxT5F44STi6W3OXWMGoGDeUSzqYY8Hh4Lgwo0DMoxq3783mtauBfsXf6LH6su4daUI\nfQY2wO6xk/DHdREunLuKuq6fwp7un+o1amq952v1+wKJwf5q6R2qJGHx0B/458DZeEN4tHyOmb7c\nc0A2Fru3bch//VepbQXRz/n4LmQgLPU073UFAT00/LQXLNf2wTenSXm4+ie2F/XDXPdMTLBpgzkx\nDzHMbzZcDFKwf8UqrPg9EC9aD8KwEaNQ5/hUfLr/EWonHsbWgs8w58uOGNC/GRZ80h6XzCxx4Y9V\nsJg8D93qVoWsX39CSCKtllL6rv+7hs1X1lDfV4a0UnU1Rt5ftUcNlfGikLSSoT6SlozAvkf3kd2i\nJ3qZxinv91SzhrDPOY4RI1ci/e8LKGzhiT5tm2hlWnPARHi5WKqV1e+j0mNaalgHA3s7IrBdd/x8\nrga+8K6LDRPHYmmd0bj/1yRIrtyEkY2VTNXS8jzkNPL8nChsPh+Bw5k98Nv/PkZNh+bI6PsdLtfU\nw5Gf5+BOZzJq296W9qLdRNegG5j/0whaSSjpq4KEA/hF9BEWDWwCffF1jJtK3xWLxvHPPnFyAg6E\nHUCc5QDM6NUUeSmXsXQP2V10G4Mxn5ji8Bg/1PGZga7EXz8/HZFbd+NMQnXMm+0Ni1q2MDk9A3tS\nkrHv5A3UkCbg+EUJJswcjhoFUfhm+Sn0mjYNHpS37PtH0TuyT817Tz1WiGqmpjAt8381pepaktcI\nLoOcMbvdNEibGuMkvWSBOacxp4NNSRJ29F4IpKWlISIiAg4ODnB3dy93nQIphbJSL168GAcPHsSc\nOXPQsqVsGaWs9O8yrkicjacSY1Q3lk+BlapMgjxRNl4YW6A6fXeJ6bVqbungTYJAnMvvYTCzMNNc\nkC1VbB65ZHr8NB9Xf/oMKz0P4Jj3c3zRJQwLo+glB3nq7IjZsN3jjqfLuqnkF5OpgFz6tWOm0bZM\nbPD/C/3nDORnykoyUPpsCcxoWp8zz0EWLuhY8WWdgxW0gd/kyj01ezbX1/2CtH4/oIuWpY+SclWP\nOHME2WTzzALVFEWrRr/kmDMFkEEbzcwsLIgbvR5P6zSv1xW62GgXID85HhHnriCLfuRyOznyjZvh\na+82/HJv6RwcO+JOBiR1j6nSuRRX9NP+xoqERvjOQ/2Bx5kc0Tcz4+vkjg3puKxRyC05XjxzFjcf\ny2ZPCgqqotNX3qXsnHFmHqTGxlrawvVVLoxVxihn56yHzXIEZq5ReRFDN8vkrcPR/+k4XFB54UVX\n+xTtf70+Lv+44thJjc1QrSx4NLbexj2fQ4p8QW071M44ilE7qiJkYjtFM8v8LMgWkTFXY1gq778y\nk/OR4txsMgViqJGnNBd+uXqkFA8jh6OA+lfbM6h8jLhxrnhevFw+7v1f3UzLW5YYacmpeE4/ONa7\ndEfLW8lwj1uK3tc7IkrFlp7252Hp8cw950TEoLLa84gzg0TPeGONBxSZNBHTDwjZ80YzDdc2MtVE\n94psxlS9Lt5TgKGh8n7l+uo593xQVsHdQ8TSgvas0TMui/qxOl+RhEwNSWCsMg5edv8oekLbvaeI\ne9NPAZk0irvzCPo16sGRttqw8P4JXLp0Cf7+/vDy8sKUKVPKLUCZj71yl/KeEupzykuZdQlRlZSB\nqvI0b6qYccVIDY1hobwxy6yc6q4DO5pMqjboW3zT7xMY+3B7iu4oFTMut5mHLxb17oW9fl3Qt7bi\np64h3eylK0kLX4Wz9n0xrFS1lF42WUMxqsf0CIveAr9hZIJExdCgHu2jW3bcCIEjSn5dliqy1AUh\nr1iVulzOC/zeD3qAycLrKmZcbu1s5AWX+jCq2xSf0f/yBY5dae7ly5uH3YvWwspvfankxiWdQw9r\nZUeVSqe4wBlpbtm5N23nLzsYkmKmPXB9pV4Pt7E7aGkRJuy4iSODm8izaWfJLV0vHKOH1Y9Llkq5\n5SBd7VPI8Hp9XP5xVR523EzLm9/zObTvyBXrl4biR9q72uuHlYomvvSzspkFLF+aSj2BISmcpUed\nOhfui/9mPG1piCvAPTJv4qzRv4oSy8dI/RmhyKv7syym5S3LELVpqwa3nOvY3gjfONakqeLPcOLh\ndLVqtT8PS49n7jlgUeoZSc8VbT/UhaSYKWvRTMO1TfVeUa9LSIqZaijdV9w9JEvBjf+S5Ukh3euq\nX6cvv3+4UrTfe6oSvNkxZ3S4qUutNyuE5f5HCKiOpn9EgP9ipVaeI/BnsDmSa32C4aU2e9fAuLsB\n8LKfi2aieWWYURAj9YUHApVfrC8nxdkYGtA5ibwUjFH+8uNyiWlCZvSSUTr30Ly8ZJZCk4BA8gw2\nXy9Ea9pX928NjUYsw+Ave2KFSxjGOJnrEDMHm4YMh0NEGG26L1HeK0L7dDToNS6b4vPwFUjechQ5\ng2ZjGGfq4x8ORWTr8YLIBWvXCHDh+GU4DPhEy4zpPyxkuaqvin6//YnCo1dQu9MXypceSrKW93lY\nkqMiHJXv/tF+71WE9jEZ3z2BCrWs+e5xvL8aOOfrT+lXTckvrzevmyvzkWFNejPqn/9yefPWsBLe\nDoE8PEgrhm1txXuc6qVyFtLvpNEeKqVbNPV4dsYIvA8C7+J5+D7kfpM62L33JvQqTt4PYlmz4nTH\nyyXVNyPF7OXJXikFV6b67qdXys4S/ycJVCXFTHfDeKfk3Iu4LDAC/yCBd/E8/AebU66q2b1XLkwf\nbCLFpqcPFgBrOCPACDACjAAjwAgwAv8mAkw5+zf1BpOFEWAEGAFGgBFgBD54Akw5++CHAAPACDAC\njAAjwAgwAv8mAkw5+zf1BpOFEWAEGAFGgBFgBD54Akw5++CHAAPACDACjAAjwAgwAv8mAkw5+zf1\nBpOFEWAEGAFGgBFgBD54Akw5++CHAAPACDACjAAjwAgwAv8mAu9FOSsWxePQoXBERkbT/wg6PomH\nkn8KgxiXw37FYNce+Dn8zj8lhFq9xaKr2LVuHXaQ4+d3iYUzepicLHoLdUhwM3wXtq3bilPJz9Xa\nwk4YAUaAEWAEGAFG4M0IvBflTN/MBnUq3UX37p3QfcdtmFrXhtGbyf3auTPCF8LzgBnGjDTEgs/D\nIHM1/drFvZWM+oZWsCiIwMjPD5AT5XcXnl9fBycnO5zJLdPXfbkEqF7bHKcnjsfZR0w5KxcwlogR\nYAQYAUaAESgngffiW5OzhNzCswO8oQ+XUV/B3emfUs2A9Otx+KzrELgP+AqpAwFdrqTLye+tJOOc\n07br0J7KEuNdemqsYt8HoZvbwNn4Td07CVHTqSPGzeuFHW+FACuEEWAEGAFGgBFgBBQE3svMGV+Z\npBA5kEJQKFbUreUzD7djonEh7q6WGa3ScQJJLjLT0vCEihTkZiIhIREZ4rJmhcTIKaiKJlaVIBZL\nYGgs000zE+MRHR2DpNxCuUwSZItESBU9B7cUmJiYjGdlrDe+SLtH+aNxh9KrhpxkWbkPtcxUKeJS\n5XVKCknuppUBalMi147cMiqUV6JZb262CKI0ETgpckimW4lp/LEsuQRPJNXh5tECJvL8AnEm4knu\nK1Sf6nJnUXYKYun6teQn8pQlHxzzlIQEpOaSIlm5akkEHQkkivJS1ZZOxeKy+lytCHbCCDACjAAj\nwAh88ATen3L2EtR6okvwMamL0KQXKL6zFzam3yIyW6Zo6YoryriCGf2cUc/KBNUmbcTN2ANoaGWK\nwIgkrbWlR+7AooB9WPLzfMwJXIfb4mwc8vsUbn9covRpWGRdE/7hXF4Rjs3vj8Z2NVHN+zO4uDjB\nZjWXpnS4tXMmLPptQHahCEF2NlT3Qz5RbGBz1B19FoL8GAy0NsPK6HR55jwc9++IulOPIL/wBhpb\n18C6hKeQGpBidn0yPvdZjEs3ItCHrm+l67qCtnofHl8JO0c71DQxwfz/I6Vr51TUNB2PKBGndObh\n7LJhsLXtjAukLOpln8eo/v64a2AE6Y3tcGq+kV9STQsPQvV6gUimHPHL+8LBb49SUX4Wtwdu5p0R\neuM2Ti2fiFbTtsDMQKbgvkj+G73MeyA85wXur/sK5r6yfIUJO2BlZYUVcbrboquN7DojwAgwAowA\nI/AhEngvy5ovB5uHTb28obf/JmZ5WFFydyRsmoJGgzfj8cH+2K0z7hus3BiEbW3u4M7q78HlfNzU\nDDVdB6FtYhQ8LNSX76zchmJZ8H60KJiAQB9niA5NwSen+uNh5BBUo7yfpB6GsfUgeD6IwqBla7Fl\nfSuYzjiAdRZxOFFoV6oZ0rSjaP3tr9iXmgNPWirsEvUzTNxDMSb7O1xcmIEGKzzRysMBO4IPoumJ\nRIxubYWMiGXov8QJV3O+R308gh8q48iNdHxpLyt++tI5fFlO87ah7aF4DG7U9hXq9cPaDauxa9hR\nLB7QmPINREM0Q6eh24njN+g54yd4LpnMl5d/+yy2oznmN3OCFSmfYT/thFR0Go79/LH/QQ48zIhd\n6zBkmjbCt67O2NktH2Ncv8XgqCSMcaK5N++2iAvYRQux3AxfJjY3+xKVN1/EhM51gM67cdnEEeF+\nvdDfyhm/TJ6HljYcYRYYAUaAEWAEGAFG4GUE/nHlLD3yMFLqWePPuFx4mhoq5bWwbw6ciaClwhY6\n4xLEQ+CYX0DLgVaoIs9p1LA17W27hch7T0g5M1eWpzjIL6DZuAJuJkmM6L170XjIHl4x4+Klwiqy\nvLefwLN5PqSCbpjwcXUYGLZHN0UBKp/irMf82fwFgYitLkCBOA1oYopHEmOMTDoN0z2HMN03DeL0\nSDTu4MenTY+nGbhhw0AqDIVamJpOc1SGhpDE/A00C0JL+X4wYWVTklP7DjTd9YrxNEuCFg7WfOnc\nn+bdfIGFBxGXOwSthYplW6BK897wO+0Ke3NOWXNHQOhStE45TWuTQ2Gt3JNmCk9/Z/jdo6XSm9cQ\nJuiKCQ0VSpYhHJ0M8YBy6+U+xElpAY4uCkTwvToQFBQglpS22lnPUezUBN/NacKJwgIjwAgwAowA\nI8AIlIPAe1POBDq2UCWdPo2nDQfJRFXRRaT8cS6gkFBbHOWSGtAMT3w5WloqiRBVawhxk1fUFJEq\nldAlAS3oFeqQm8shKCTFkBSbwJnT0Equ0EydIYFE+BALbN1weMZ6hC3zhVG0FT49W4gC2hP2rJiy\npOeBU5O4pglJMYOE8tAx4gv469xhIe3P0xV011uAUxqZJIUv+CtSBUd5fF6qCJ1i4jFCkoqY6H0Y\n+EUb1Nv3C8WmI19CdQtls475OakA6Yn8sqtG2YpTRdlz1wRgIjerRsF32myuWSwwAowAI8AIMAKM\nwCsSeG97zqSGBvQdL6D5qhIt4XniAfgufAZrU0f4DLLAtvO3leLH7N1IM0xfo4mZ7jgnQ5kCAekt\nWliThSeXD/MzPF2aVFeWpXpgQDLIghBNOtPrmnNCcV9+5cWDqwhDW3hweYUyRU2+pUqeQv3DyL4l\nPBGFq0kKgxyklHnPwO3b57GIFhSXTO4Bbu7uypZViCN1K3ZPCFIcPYCDG3FFvp9OmrgD3kEXYWgk\nk0sxA1gip3qd3Jmueu+RUlXZXB+LTiq0VQnObVkG+IzARxwrlTbpZV7C9zvvolajFug+eBY2t2+B\nPGLdXHoECamyFxsEkjtYG5SG0R/VhZGjGwZLj+P0TcVLAtm4FSeGmLRMqWFTDB1uibm7LiqFjQke\nil+vPwW3X3BSjwkITyuZtVMmYgeMACPACDACjAAjUIpAiaZUKurtXShMPIpx4+eR4lOEMJ9ReNym\nPtk5e4Dl6w8APX5HHZo9avpbOO4O74DPEybBAycxI6kfrq3vSaqcAF4647gZpkqkHWyE80hr/Or0\nDBPm3MXmK2uUM1mqrXhwKAjDpx0nW1/5GFowBr/T7E7E0mlw7jEegT0tsWXaOay7uA3uhg/xh880\nWqrLwqP+EzDvt5/R3U6hNpWUWGz8MXZc3IJBrWwRHxgEs8t/wWJuMJo4FCNo0GOM9PGHj30BEs37\nwnN2L/iNWYWwEYMQuTYdbvW+gP9ST8Qff4wfZ5hi9NB1QHExJoU4YaLDbXxLcgIpmNdoC2Z72ZdU\nSke66nWg2a7zXMrZ/piCXqgZtx3zMBVXg7rBQHwHi4dPpTadQfLwpdjygzGuBXTF2Mq0nFlwHfub\nj8NqF0/0jFqPwS4dcS1wKPI2zUFRyGEs9LDh5/GWEJtBrbyQHTwKJpRuGWhWrpMXHC8ew9eBx7Bk\nuAea+friB+tk/I3BWOliggJ6Y3Tt6Q1o+XwRCaY+M8mJygIjwAgwAowAI8AIqBMQSCmoX1I/W7x4\nMQ4ePIg5c+agZcuW6pHv4Ixb+ntK1scszUr2nymq0RYniVsD85FS2tQ/HAWiXJhZmKnMzSlylv0p\nEOfypiteJ6+sZM70Rjb0jS1QTUVscW42ciVCWJiRNTUJbZ0XGipl40xSZGSLSV4L5bWypdQWq1lv\nHra4OiJnYwLG2RYiXVxZK0e+JLk8RdxSKwxlMiqr0CxXGUEH8jgzaqtQglzOJAkp1wotX1sfqeZm\nx4wAI8AIMAKMwIdC4NKlS/D394eXlxemTJlS7mYrvlPLneFdJ6xMX/qWOirRjOMUnJvxN4G4Atyj\nZUJnUsxeJ0gNjWGholS9ehlCXsnSzGdobEZqjzyoKGbcFamQ6rR4UxO46vXmp93BA2Lx+94T6Du2\nG6zNypipkssjJN5kxEMjqJerHqkaJ4SxofoQ0uwj9bzsjBFgBBgBRoARYAReRuC97Tl7mSCvE1+U\nfQsXRC5Yu6YtLhy/rGJw9XVKq/h50hLuoObaFVhsmY6rqfQyBQuMACPACDACjAAjUOEIqE97VDDx\n9SxaYoTPu19qrShYGnr0p9cQWGAEGAFGgBFgBBiBikygQs+cVWTwTHZGgBFgBBgBRoARYAS0EagQ\nM2fFongcuZAKMzMyxlGYQ2YzaqGTRzOl4VltDeN8Yj4g8w216+recF+eNFzZT2L+wt7LSbD5pBe6\nOVny/jZfVrY2mcpzLSliO1buOYd8al2H4SNRJ+4UDL2HoYXSMGx5SmFpGAFGgBFgBBgBRqCiEqgQ\nM2f6xjVRp9JddO/eCd323IdlbfOXGmV4fn0dmcywwxml03ExYiOilX4iuQ4rnUZ7N1atY4ns1TMw\n4PhdPkF582kvTddVCSID+6H5HgHGkVmOJYETUbS8K7qMzUNdppjpgsauMwKMACPACDAC/zkCFUI5\nkxrWQAvPDuRaSR9zRn2FTxpZK0036OqRKvZ9ELr5MJzlio2A/Fju+Pm00gI/l08zja6yKlk4o+9I\nd4qWvf1Y3ny6ytN2vTBhN7r/1Azxy76ADb0BqW9YC/3G+qH59Fa8IVttedg1RoARYAQYAUaAEfjv\nEagQyhmPXVKIHDKFKigUy3qB7HSJRGlkn4yuSTKRkJDI2yqTR+KJpDrcPFpA5kxIgps7f8fvT6R4\nlivmbXNx9rrU08hy5iTHIzo6Bg+VM26y67xPTv5QM58E4txc5GZnIzs7F2IxWc0n21+yIMGjhFhc\niImjuuSXdHwU5T8l+xrP8VwlnaSwEga0t9ORg11mBBgBRoARYAQYgf8igYqjnGnQf5EWhZm9nNHQ\n2hRdfX5D7I0I9LGuga0JpOQgD2eXDYOtbWdcICUrNWIrv48L18MRsmAu1p24XyoNXUBsYHPUHX0W\ngvwYDLQ2w8rodO6yRlAvWyCOp7R14L/hAE4fXAorKytYTTtMql8mNn9pj9F7E1GcdBj1anyLSLnL\nJo0C+VN9I1IjpavQ0rwtRvgtwt6IWxC2HoqJblbakrNrjAAjwAgwAowAI/AfJVBhlbNKdT/Fyo1B\nfLdMXjoHA7yHY/W8NvA5xPmVNEXPGT/BU2DOx1t7DMVS/1GAfj/MWbQIE3h3SOppOIXu4sIMNPjK\nE608hmFHcFdMPZGopdvV8xVnpKF5yDn8MvFr2rRPiqFgKE4H9oQobA7GHpmBXdP6oq33Dzj34wV0\n335ZS3mySwaNBuHakfUYN8gSu1YsxNBerTFk6zWd6VkEI8AIMAKMACPACPw3CVSItzV1oX9eSL4d\nmwXBVb6vTFjZFCiQW8WnZVDVIM4voJmpAt5QrdJLplqaqhiZdBqmew5hum8axOmRaNzBT7WIkmOV\nfC+qNMIo7/ooTNiBZkNWITgqBS0MC/B/Bw6TE8wMLA7O4r0EXApIQbtg7Rb7i7JTcE9SE/Zu/bGQ\n/v8UkoMDAX3x5fIIZA1uzvaclZBnR4wAI8AIMAKMwH+eQIVRzgTKvVglIgsKyS1ofIFyk38h755b\ne59JDQR8BKce3YmIhLmHG2qoJX2IBbZuODxjPcKW+cIo2gqfni0E5ysyn3xm6gqVLRqgvuQGRrfy\ngVvIWYxwqoT9IcdQrQ45ZP/+O/hN7CjLOnEaJBJlI9SKu7tnA+I+mwZ7+VWp0BQtXci47k3rMs2F\nqBXCThgBRoARYAQYAUbgP0GgwixrSg0NaLFSgJx8+QsBhN/QSKZwKWbCDCheGYSyWSoDuS4nKKSZ\nMwpVIMbZPTG0J4yCSprCxAtYRPb1l0zuwc9UXdmyCnGk9sXuCUEU7RXjy64sn/lSyccth+716Ymt\nw9fgAM1y6WXH4nS6IZzchwBL9uK2Qh+jmbX+QRe5WjUCmfjYvRpRCU9Urj/C9iEbMXdaZ6acqVBh\nh4wAI8AIMAKMwIdAQH8uhbIaGhkZidu3b8PT0xPW1tZlJX1ncYWJJ/DDN/NwtVoK9h07juRcW7S3\nugPfIcG4lh6LVLOGsM85jhEjVyL97wsoalIf0fMXYGPCaZyNN0SnPq6obaSPpCUjsO/RfWS36In+\nTcRYPPQHZZouw73geH8ZZh3MhuDGUUQZNIbxwsk4ZDcMg4VH0Gb0OiDtPIrM6iI6IECZr32j++g5\neRdg0wDGd08joN9YpPcZjVGD+qN7zb/h2vFP1LS9j8A/HmD2/K9Rq5KKAknEuBcKFo6PQNHT49gT\nlw3Jw0j81G4A9ELPY1b72u+MKSuYEWAEGAFGgBFgBN4tgbS0NERERMDBwQHu7pxJrvIFgZRCWUkX\nL16MgwcPYs6cOWjZkpbaKnQQk7kLCXkaMNbZCnFuNnIlQlhwachch0Ro+FKbajoLowiBOJc38WFm\nYaa1HIEkF+m5lWFpRpbYEhOR+RywqucAS2Z4tiysLI4RYAQYAUaAEfjXE7h06RL8/f3h5eWFKVOm\nlFvekg1c5c5SkRMakmJWtvyGxmb8Bn4+1RsqZlwZUkNjWBjqrlMqNCbFTBZfy64ROaZigRFgBBgB\nRoARYAQ+ZAIVZs/Zh9xJrO2MACPACDACjAAj8OEQYMrZh9PXrKWMACPACDACjAAjUAEIMOWsAnQS\nE5ERYAQYAUaAEWAEPhwCTDn7cPqatZQRYASIQIEo5aW+bhmo0gRy6K0zel+JBUaAEXgPBCqccvYi\nLRYbAqfD19cXE8gH5ank53gSHYqtcVl4HPMX1q3byl97D+zeqIqEdTMQEpP1kjLEuBz2Kwa79sDP\n4XdekvbdRSdFbCevCb7E3A+7Y+7i/Nb1iNVwDP+6tRdlP0Jqdontutct523le8KPoXU4GpfBFymQ\n5CA5WSSzi/e2KlEpp1h0FbvWrUNoxF2Vq+U/zExOfkuKhgQ3w3dhWznun6y4E1gw8isMDdwLbd5n\nyy/966cUSDJxfucq+Pn58f+Dtp7Ey+4mrjZp2lH067UZOR/Yq1DaSZe/z7n8L+LWo5nf0Xd2L2iX\nkV1lBD5MAhVKOXtwKAgWju2R0Xwg5gYG4ZcfeuPqvCao12kUHpO3pmo1zXBvoi/CH/27f9/pic5g\n+MTfcSruYZmjLiN8ITwPmGHMSEMs+DwMz8pM/S4iJYgM7IfmewQYR7yXBE5E0fKu6DI2D3XfiqkP\nMfZ81gqN6y//B9qmnVfVOpbIXj0DA47LlKXn19fByckOZ96SMqpZq76ZDSwKIsgF2P+VS7lQzS8Q\nX0YDJycM2ntb9fJrH1evbY7TE8fjbBn3j17uZfRyXQz3KaOxN2Ao4t8Rl7Ia8TzhANzM7bAdLpi2\nYBECF0xHk2vfob5bEB4qjD5rLSATSxv7Y+x+P9TXGv/hXSxPnyuoWHb+EVsQiB8j/imVXCEJ+2QE\n/vsEKoxy9jwuFM2+8EfgqfuY4vURqhsKUdmiKcatPgc/VCa7/4BR7ZYYEtjjX95rEhyYPwLXyNVU\nToG6/09NwdOvx+Gzrq5wH7EDqSm+qKaZ4B2fFybsRvefmiF+2RewId76hrXQb6wfmk9v9Zb8fZKB\n4DXbsPX4gPfeNl3oKlk4o+9IzlCgzBtEFfs+CN18GM5vRRktXatUWAPundpTRGV5jaXT6LoiNXTE\nmdBQ/PRpHV1JXuG6EDWdOmLcvF5lLl3lJV3GtWZ90bZRB2Q8SEW7d8RFl+DP4/agZquv8PlftxE8\n4BNUpxkwzt2Z16ITGHV9IZad1a045IQvw1yfBfCyUDcErauu//718vW5Kgd3v3lY6f07UlQvsmNG\ngBF46wQqiHImxjH6dYz2QfjaxVwDQi14z+uAJ/myy5yXJkPy2VQsuodbiaX3SHBOxmOjo3EtWdVd\nkiyvrri8tNuIjozGLVpCuquS70XaPURTWXdE5Z+py41ehW2NVyF0TG1EZ+RptEX1VEzKW1U0saoE\nsVhCfjlzkUl7Pp6RYdxMMlabmlui2GmTu0icDVGaiP+i5eRMSFQsf0nI2G0C7qaVbr9q7dxxUf5T\n+uZ7jucqsxGSwkoY0N5OMymdS5AtEiEtjbwccLEkZ7YoDRkqS5YCcSbiideVhETZUiG1Sc/GGe2b\nWPHlacqsrf8KqP8SEpKJgwQPY6JwJi6Vz6v+RyELLUeSHCkJCXggylVPQmfauHGJ8gsUdpkltGRY\nHW4eLWCikluR75ZiLFAdYrH8v6zxynOVbKUOM5MTaUw9gZiYqgfqo4RYXIiJUy5Z5mZnl+p/iVgK\nWzc3OBrLFEmJQobcXPnSk4SXIzdXtmysa7xyhpA5RqmUzqByVXVRNM6yRaT8xGeQ4WQx9MlOM9/H\nuRLyQZuiNqYUjFTvM83+fdUxKcB9LHQdBcw7hkmtZWOmRLwa+KS9MVZeSSy5pHYkxsm1MVgztp3a\nVW55VDYmU8tcrivfuFMr+o1OuD5JpPuEu88LRLdxMvI6jflciLh7SgtvXX2r67r2PpeAGyuysSy7\n6bn7hzvPpWcQF4rN2mL30FgcTZA/cN+olSwzI8AI6CJQIZQzgSQFpw8+ReOeH2udYWny9WJ820ju\nYZO+XE6unwW/tSdw/eg81DSbjfuy5wrSwoNQvV4gkolG/PK+cPDbo1xO0xWXdigAbRZFQGhhhNjF\nn+Kjbbd4lrd2zoRFvw3ILhQhyM4GgRFlL1HKOuAhFk24hdk+n6JJczcUhMXqXMpKj9yBRQH7sOTn\n+ZgTuA7nDv2GBo6OsGk/DBPJKXrjOr/ysuuSO/3MWtg52sHbdxpmbjqBa0cXol77qfjV/wesjYrH\n4e9bwC34tK5xwV/XNyKVRLoKLc3bYgTt79sbcQvC1kMx0U3zi5FLnoO/F38OR8fuOE9Kg35aFKbb\nOaGh1xpeTr3s8xjV3x93DYwgvbEdTs03Ii/7FhZ/5gjbOmt4Dpoya/bfrZ0/wPKzXxEbGwobc3NM\nDF0PL/ftWhiKcHT+tySLHcxrDMWRG7H4o1fDcvW3OpA8nF02DLa2nXFBvnyXEfk7qtuORGx+PsIH\nOsGEGD658n/oZFUTVlZW2PXgBXl4TUGAVR1Y1VpY4ltVpWCB+D6W9LDB/7adRcrlzejuOh5wryxP\nkYnNX9pj9N5EFCcdRr0a3yKSfLs+PP57qf6/d2Y9yWYL65WxfN7L6yfxMlh1+ZWf2ciOXMmf9wgK\nxzUd4/UZzUS5mXdG6I3bOLV8IlpN2wIzhUNaFZm5w2LRJSz/+Tc62IcgWk4Mv3QOs7g+7vIdJgxu\nhY8c62FF3FOd95lm/77qmEwKW45lsMfurz/RkIw7zUN6Fv1gUWDUSME9Q44ckqBOdZkiy0W/SP4b\nvcx7IDznBe6v+wrmviXPA9Xs5R93qrm0Hz+J2YMhJtUxkPZwzgr5W+sspUyuztgbewlLrGvBstcs\nzOjujl2XorTy1vUs0nVdV58LJCKEjnTkx8z/1p/jG3AhqAd/vuTEfXmDhKjX2AA7o5O0N5BdZQQY\ngbdCoEK4bxKIb2C0lTuSgsNxaMTHZTY8IeRztDr1FZ5u7weB5AY9fIfDLzUK7cRnYWznhf0PcuBB\nrpI4ZWKFaSOc3HQWu9wf6YybcbMvvrXcgIsjWvLlBax+iul9smHqOAD7UnPgyS3rxK2BiXsOHmZP\n1qo8KgROWDcGWxsvgL+bORLWkZy7u+HhwZE689yjNC0KZuOpjzMVIUFYj4YYYr8ez4LssPfYE/Ru\nkwczHW3609se90O6wvngCDw98AXJfgdfm7eG/p7r2NDZBkggmdvk4D7JrDkXqZCX+0yK3I1V6zfg\n9x0R/OUeIWexnRy8aws87xqT4ffwINw4LgmbqI6nxGUcDKKXwGpuNdwJGwkrWor6O2QnnHwGwEol\nDbdsqy5zSf+5GadilkkLmEU9wGQnIxweaY9lnvtxZHATbaLI+94Vw29loW9tPVKY7mOmSSvc2nyu\nzP7muMWF9IdrwY94OlHW573kbWqHK+hp3RHdo1IxhmTg+2cN9WHkSFSJ2wRztwicy1yDpsIC7PUN\nRJ3A2WhtyI011SDBKb9m6FllBZ7O6chHZEcshO10EypnHPLCxqHRsBbIejKSd/cVH9gcbU020Bho\nUar/e9LyfgqNd+eC6bysXGGR/k3RHauo7Pbg9oeNm5GExX5GtFez9HhNfdQFPlYecI1KovZwc4OZ\nxNgRVU4l4MdSM9S8qLI+HVaALGozv6ee67/WEbiasxyZYSdQ3aUaXJr30HqfvdmYpP2P/l3R/Wg/\n3CdOmmOWayvXN7Z7YvF753pyYUs+uPgeNqH4Ledn1OcvZ2KtqROObLqInd516Iqs7R/fSqPxUqLA\nAQ9fadyV1Fj6qDBhB2q0GolNcSL0qas5W1qSPj64C9piEd+nkpjlMB9TiR9j/LYGDd4mzfTQ8qOB\npZ5FKTeaoc5r9Dl3n0w2aQnrU/fwvYsJMugH7XKDIZjrUfKD7N7OsWidOASiaW1LhGZHjAAjoJXA\nf9p9k9TQGq2cqmBrcga/9MB/KahgKEw4gcOFLujtZI5C2suFDvKHs4R+SQtkj/H8lBt0PBTWyj0y\npvD0d4bfPRHy6+mOW9XxByR0+hQmE6nC9rQJ+rdZEGft5WufvyAQsdUFKBCnAU1M8Yhm6KppCieX\nk5s5Gj5xK6oON4Dvjue4tz6c5KmNFJplalLqC1yWiV9eU+5LK8CzrCJ8QzNAUmE99PGqD3HMap1t\nAs0w5HFqXw8HWWGSfFJHpRjuJHvIivOJE00zqH4NyUXlP7hlqXuSmrB364+F9P+nkBwcCOiLL5dH\nIIuUM80vRz4Tx1sliPNpjVkeqjTvDb/TrrA3n0xX3BEQuhTcTivVNFxSdZlL+o8Wq1FboI97OdwS\nnR5Srz+HSU9d0lMSvu/dULeaTDmSog66jLHAsns5ZfY3x00tqLQp/84lnERj+NWTzdI2GBGK9G+E\nMndfTj3gL/0BK06mI8QlFscadEOIln4VSO5j+4p0TP/LRVlNZQvqk3iuXWKcO3CYZqYysDg4iy/3\nUkAK2gVz7Szd/1wBedx4VwmuQwIAl4WInnEIdQ/vRZPhU1CU9X98Cs3xmhR3DmGCrpjQkP/apzSG\ncHQyxAOV8jQP+f6KL+BnfLhc/LlTW9SgvPW9vd7hmMzDjSM0a/2N9v2O9//aTn3jit0utpoiK8+N\n29UjOWVBL/chTkoLcHRRIILv1YGgoACx9HSpnfUcUFPOXnHcKWvTPBDj+PJZ/MX9y6fgQGZtTPhl\nEK4s24RHhpx/N1omtuuFiQM+htDEhpRgEZ82NyeHPi35Y+6PJu/n9KOAC5p9m5zxSOv1l/W5lFTX\nUcGfotXMQ/j+QC/s3VGIYatLFDOu0LpNP4KjrtVjvlb2hxFgBN6UgA5V4k2Lfdv5TeHcpzGw8ADu\nzegGBw2pH8VGQdS0VUmlJTpByTX+KB35EvoyE8q+sPNzUgFTRRLtcfkGLXDzQSKyb8fj7JZZ6Pt1\nKBJXcHncEThzGlrJlb2pM2hfmIZcipK5Wa+DUxbCl8wzDJT/Yn4+qh1qum5X7ikqSav7qIC+iK0t\nqmsk0C63MpEqC4EbLevoFFKZhTu4u2cD4j6bplRVuE3XLWk5FTetIV9AVkvPnQhoH1imiq6gb8St\nMRWQwkxKRKoInWLiMUKSipjofRj4RRs0TMyBbO6Iy60SVGVWXq5BM21N4RcwFS/s85HisQi/9rBX\nxuo6kKo0Ny+TtOdanDRceAk3WSK1v1IDrj2qgVPMqN9pDklIX/tfbh6KRku3oGOXTHQd5K+aUHks\nFVaBBSmXqqFExRTCqg7V8f138JsoJzNxGu2bI7mJo/b+Vy2J+sCuI5Y6jcPWg+GwO1Mb/QaYQBDD\nAS09Xp/d2qae+XXPSFlTUJUV8RK2qv1b7jFZFQ4epA6m5/NVcPuwLt4rxietHVEp9ypmDFmDHiGn\n0KWMzf65Z5Jofox+QNF/xbiYuyYAE/lZQ8B32mxiLWtByd/XG3cl+RVHBUi7kIfPQy9jrZc936dC\nmmEtbO0Eozwpvxr7vKqA52j7cWuQloYJGI4716T4c8t4XmZFSVDhLeA22Wrp29zr67VeL0+fN+5H\nv0Qn/oAtYdlI8uxD6pp6SIuPwS00U7/IzhgBRuCtElD/lnirRb/dwtpMXgtf6Xa0nLlfbZ8GZ5Zi\n6gYz9JE/YA24HU6V5V93QvqUZuEFiWJU3xnNpUeQkEq/jClwy3xrg9Iw+qO6ZcZlHF2FvekmaNq6\nA0Yt+x0daDO00P5jeCIKV5OoLj48xALvGTTTJD/V+EgL/xnLP56tVMy4aANeqrI35RvQYlxJ0KcH\nuOp52W2S1VGaRb5sbzj0jbiyVL8lS2rifsXH7l6NqARV+R5h+5CNmDuts07lrNi4JjoKniBPzuE2\nmT5B08p8er3MS/h+513UatQC3QfPwub2tHT39DkMeTlIX5ZXr6v/uDmix5kO2PLzbEzxXYDffuiL\nmopMqqKrHksjcS9Dpjbo5cZj245MTGpjV2Z/c9l57qpjiLtGdRk50hjAbWw790BeyyO1fq/dbQi8\nTy/AsPPO6KU2+yJPzn/U5GfwftoSrbyYGHOG58SpeA7uXwNL9pbsVaOlsP5BFylt6f7nClCTlS/R\nFL3nj8W6If1xuqMXzReS3PYttY7Xxw1dMVh6HKdvKvo5G7fiaAO4uqbFl6r4o9lfQgPZmFQo7GXd\nZ1wZ2vq3fGNSiCadBxKbrbhGtg4D50dALycKK8NO4o9BPRA2ORSbdSy3c/VKDU2IxXXaYC/79SA1\nbIqhwy0xdxfHVhZigofi1+tPoUd76yb1mBcTCJoAAEAASURBVIDwNA5EWeMuD4f8vsa8Q3f4AhT5\nTvH55IUqP2TK5a4kmXIpFAppo31ltPT6HAMGDEBv+j+IlqllHCvhy+BDmD7WF6vWzEY7awVduk80\neevq2/ran1Hl6XN+0/+YbIwZMhU9vB2VLVAcPBc9wsd2ZopT9skIMALvgMDLvt7eQZWvV6RUWB8B\nqedgO6kLappuwdylvWH+9CKWHzfBmh1z+WW2B2EBtKGZNrI6+SHAYizqXOKWOuJxsss0HNgTgCNR\n6zHYpSOuBQ5F3qY5KAo5jIUeNiiGjc64W/H5mN56CApW9Eb+yVC02fYLzIwbY8fFLRjUyhbxZP/L\n7PJfsJgbXGpGj9uE/IfPGEzecZKWRAtwY/jH/BJmeuRGTJq8jkDEo3uXL7F24x8Y0Ej1fUCAs+k2\nfNpxsrGVj6EFYzDC5ATG0GZr+HRDkd96zPJuTG9OfaJTbp0sBk9D6KQ2CF9Kv6yLr5HpkebYPq2r\nmsIlECcg7LQ1jExGYPhJL/SwL0SYz1zYhEZjEe1D0R1s0G/pR/AYPBfLeupj7+wkSjoZXn4W2PlF\nJVwL6IqxlZeidcF17G8+DiEG5/DdeJkck0Jc8KN1RBn9NwuC64fwtWuoWvXBUSkYIVfM1SLoxJSU\n2f8N9IFoZCtETfwRNdb+Rfv9rKi/rXRzI+6tph2jMUQKt+VcVNn9Oy1/nUHy8KX4c/P3mB+zDaNc\nXDB23mLUv3cCxjN+Vva71NAZPpM90dSrq1LZ1JSJU0M9FoRjyZAv0ckvHgOrp+NgALfsuAfd/S1w\nYM5URCydhpb0IkDwCmccO5CFeasH4kLID6X6nxsjvKykQOzstEM5hqza9UVvwRn4dqvHV19s/LHW\n8WpvaIUlF7fROPZCdvAomND9sYz70dDJC44Xj2GwxpgsTDyK8UNp3BYXw3vkCyyb3BQB//OjJX0H\nDBv5DHN/80OTdzQmuYZYdp7Ns3EnW4cYvhxtHt/Ejz4TMHPPZTzzNMbN5GdwrMvNi5UOUmEddPei\nNyDTn9N+SCNKIESXwGNYMtwDzWhz/g/Wyfgbg7GSxncBveW99vQGtHy+iNLplzHu8nEv4gTONZrK\nV1jwVJZPcmUyOtSWsS+RRAhPvz8x4bPRmFLwNWrGnUHeoJ8wR8v+uNzUBGyfOJnsuJUEz3kHsbt3\nPoZr8tbRtw3NrN6gz4Vo338UVe4k2ztaIgYdSXD3ciEGTdG9fKyWnJ0wAozAaxGoEC8EaLasgKzK\nP3iYieIq5mhoV7uML0LNnNw5Z2Yhm8wAWKCaoWZ86TgJvUIupHRcHinlqa6Wp3R6zRLfz/nblYN7\nzT49tzIs6cWJR2S2I5MmG63qOcBSuV+v7FYVZIvotX9DWFgYQ0yv5oNspPHLfwSyiIujMwsz47IL\n0YgV08Zoq/X2eLqsmzImLXw2HPe3RtayXqXGgEB8FT1rBmDB41A0zs3Ei3L2t7LwMg9kvBXjoSj3\nEe4/q4qGtYux0TcEHsvKZ+SU4/SUVEhLMwOek5D2HtGECh8E4lzeZIKZhVmptpUpmjxSNm41f3vp\nGify62Z0TwjJnAKNeUNOlvJUpDONrrp0Zih3RFEuLbelZkEv/woGjrmPA5HfIXLkV8icEkpvbXOK\nl/aQHTGbXhhwVxtDXEpZPxhTP6jd3Hwhrzru9OkN0BWJjfAd/ejTHtTHjmYa1XHbQr5nsVh0Dt4N\nl2I2jeXSL5goStDF+yXX1fq8iEy4ZNHsdl0kb52Jwy5T5S+KKOqg3Z6iv2Fs/zfis+fxs7IlMeyI\nEWAEtBF43RcCKsyypmqjK5vVggNZRnd8ZcWMK0UIMwttipn2OCEpFoo86oqZ9vTc1fcfymrTq0sj\nFXJfVNzSsBC17BrR7F2jcitmXG2V6YHPKWZcMDQ2JN2MGJJixpHk415RMePK0TexADYcwDmyC8at\nmnIK0ZXwHXBoUU+LEkF2wu4mIUJ6GJdvJkP/Ffqbq+vlQcZbMR7ubv4GHzX5A1fD1+Byu89R/+UF\n8Ck4FjLOMk4KxYyLlBoaE8PXU8y4/LJxyx2pBl3jRH6d18aEMH5jxYyrU1ddqvK83rG+sRnsGtmh\nQWMH1Lo+H/Ym1vgGwzC0DMWMq8nMwxeLNvhjb1qxWsWyfiitmHGJXm3c5WH3vDWwamSlVr76ifrY\nUY/j+r0GXKR/4cj5W+BMi3F2xu7FnEWEoAXqaXnBpCS/Lt4vua7S55Vyr6NpKyf8lRCFZQfq4wst\nM9In58/DpEPjmGJWAp4dMQLvhAB/a76TklmhjMBbJGBgNwgpV+ph27bfcJTecM2n2bePPtuNMx7N\ntNSSgyvnM7B27Vo8u3wNj5vZwuYdjvTGXy5GwM3fsfH251jkY69FHnbpXRDg9o39vGcN/r4tROfh\n3lqUdM1aa2Dc3QB42c9FM9E85XK0ZirV81cZdwJxBsyG/wRPnfsNVUvWdWyDBekxOLxtN34+vIHG\nOS3nNu+EaymetBj/bkOxcTOEBY7HluXn4BMysdQb2Zw7uSHmfkjSaufw3crGSmcEPjQCFXJZ80Pr\nJNZeRoAReHsEimhbxFPjWrzrp7dX6n+/pJy0NFSqXVttf+p/v9WshYzAmxF43WXNdzif8GYNYrkZ\nAUaAEXgXBPRpW4SmQZp3Uc9/rUxTUsxYYAQYgfdDoELuOXs/aFgtjAAjwAgwAowAI8AIvH8CFUI5\nKxbF49ChcERGRtP/CDo+iYfcrvB/KGTFncACejtsaOBeMmX6zwfOefOJnduwdutxpP+DXN6ExLtg\nmkmO6p+8BR4Kvmt2Et83aSTLywgwAowAI8AIlINAhVDO9M1sUKfSXXTv3gndd9yGqXVt6H5hvhyt\nfoMknI++Xq6L4T6FXDkFDEW83KjlGxT5xlk56/0NrXIxyWcW7tBm+TcJD6NP4fYblvGq9b8LpgLx\nZTSgN3oH7b39quKUSq/g+/23xPdf0N+lBGQXGAFGgBFgBP5TBCrEnjPuy7GFZwd4k0FIl1FfwZ2c\nTv9TIS/pMq4164u2jTog40Eq2UuTWUj/p+SR1StEfff28BRwxkzfLKSeOIJsh/Zw0G5Z4M0K15H7\nXTCVGjriTGgoCtvU0VHrq1x+e3xfpVaWlhFgBBgBRuDDJFAhZs74riEH1JzjbkGh3P+Q1v7Kw+2Y\naFyIu8s5cdIIpeM4Y6uZ9AbSEypSQIZKExISkfGSWaNsES1skQundDKuqk/2ujjtlnMSHhsdjWtk\ng0sRcrOz+bKfkZ2iTDLkmpqr2ycOt2wWT/mvJKTyNrwUZeQkxyM6OgYPtczWKOKU5coddBuQEdHM\nxATcTSuRRVGe6qdArKgzEcnJIr7e52QBfmJADATPc8koaq6KLGQ3LCEWF2Li5MuEnGFLEdLSKB+1\nLyUhAQ9EuarF6zgu3QdcQm1MNQsozahsGSTUj7ZubnA0lrvyotakxMXwbUim5U7Vfs5MlHFO0tJH\nnMHjhIRkZGfnQ9M3wou0e9Q/0bgjkrkEk8ks4e1TacrPzhkBRoARYAQYgfISqDjK2UtaxPm18zGp\ni9CkFyi+sxc2pt8iMlu2xKcrrijjCmb0c0Y9KxNUm7QRN2MP0PKgKQIjOLdDpUMx1bH859/Ifc0+\nBC1YhPDE50gLD0L1eoFIpuTxy/vCwW8Prxg+PP47Gjg6wqb9MEwkh+GN6/yqRWEEXpBF8V7mPRCe\n8wL3130Fc19Z/lhyq1R39FkI8mMw0NoMK6MVu53ycNy/I+pOPYL8whtobF0D6xLIrRMFU2kUZo0f\ngw2X4nH4+xZwDT7HX9f8o5d9HqP6++OugRGkN7bDqflGsuj/CDuXjcU1nMH2ZUGYs2CTfHkzE5u/\ntMfovYkoTjqMeuRWKCo7A0fnfwtHRzuY1xiKIzdi8Uevhsq2a9bHnevqA21MNfNrZyQqU4aMM+th\na2sL65WxVJwYh3z7IyQ+l97Se4QfnZzx2zVOec0h34ifwu2PS3SchkXWNeEfruh7CblM8oHlZ0sQ\n/+AyfunlhX3kfrqSXLhbO2fCot8GZBeKEGRnQ2PmIR+TsO4LWFnMRoo8HftgBBgBRoARYARelUCF\nsXPGuTXpZdUBnqcS8b2LuUY787DF1RFRiy5juYfMVOOjsClo9EdzPD7YH7t1xn2DKgmbYNLmDu6Q\nOxIu5/O4TajpugL7E6PgYaFlyZJLP6wAWZEjUYmcrhvbeWH/gxx4kKsj7st+hWkjnNx0Fn9610dY\nj4YYYr8ez4LssPfYE/Qkx8bq68iZWGvqhCObLmKnN7f8lolZJo5oees2Mhs3wa8rTiN2sANS1g1A\n04zJeDqtLTIiFqJh7zRczfkN9UnRWGjSHDGbo7CzWz6+tvKA/p7r2NCZXMckrKF25eB+9uRSxiTF\n0UtgNbca7oSNhBUJ9HfITjj5DEBN3EAv08mYlXkQrYWytj8KG4dGw8hJ+ZORvOzxpDS2NdmAZyON\nSKl0xfBbWehbW4+8WN7HTJNWuLX5HLXd/hX6R94HcqbqfLhitDP6+FYa+lneKVOG+yGfw7lgOp6N\nNqCxMwo+ccfxGflelMSEYnVhVwzI+Al2C+rhYeQ4UrtIgcw9D2NrX+rPKLSI/Qm23mKlmxpuX5yr\n9Uz8knoQrs+OwdRxAPal5sCTW9aOI9buOXhIrCXRu7H0YjVM91H3V6oBhJ0yAowAI8AIfAAEPlg7\nZ+mRh5FSzxp/xuXC07Rko5SFfXPgTAQtObXQGZcgHgLH/AKgqZXSsKJRw9a0t+0WIu89IeVMUwmk\nORgufXwBuIUsScoNWg8dCmvlvjNTePo7w++eiGJr41lWEb6hGSWpsB76eNUvNQz1ch+SU+0CHF0U\niOB7dSAoKEAsLb/VztLHuKTTMN1zCNN90yBOj0TjDuRgmkJ6PM3yDBsmd59SC1PTac6O3O2AlNcc\nOGK8izWfTpzPzRpWhmJRj78o/1OleW/4nXaFvflkuuKOgNClIFfSVIZs6ZVfOea9L4lx7sBhminM\nwOLgLLLJD1wKSEG7YCqVW0YVuKFuNZkSJyWJuoyxwLJ7OVxJakEv9+7L+0DOlFOSVINuRtQD1cuW\nIY+WwbnAOSSfNc8anZxIaaXQefJq/DbDCNE+e9F4yB5eMeOuS4VVZH1/+wksOM6fDUANLoKClHwr\n1ZA1FeKsx/y1+QsCEVtdgAJxGjn/NsUjejPUoXV/zGvNR7M/jAAjwAgwAozAaxEoPVHxWsW8+0wC\nHSYRkk6fxtOGg2QCqGgiUv6Y9kEpWqgtjnJJDegbN/5N5E9HvoSUAPlMU35OKq0vysorIOXA2kK3\nuUupXLa5awIwUe7HznfabNrHlYIF5m44PGM9wpb5wijaCp+eLeQdND/j3AKm54FTo7jsnLNsyiCr\nUGCOqiX6qeyalr95qSJ0ionHCEkqYqL3YeAXbdAwMQc9ZO4wSREBChPO4YZVS1jVqQx8/x38JnaU\nlTRxGlVH9Ulk0BRt4CLzMul6LU4y9aBMo6MP1FOrnynylmZE6eTNVqThcmqTQSC+j+w2vyA5UQ/x\nMZewqd8ofN+0GcbWEOJmgaq8KgKqi6F2JigkBZ2U2sCZ09BKrphPnSGBRDHW1FKzE0aAEWAEGAFG\n4NUIVJg9Z1JDA9J5BLR7qOQb8HniAfgufAZrU0f4DLLAtvO3la2P2buRZpi+RhMz3XFOCkfC0lu0\neCYLTy4fRpigK7o00a5UGRrJpk84KYzqO6O59AgSUmkWh4JAcgdrg9Iw+qO6dKZP81byqRY+tvQf\nzjfg0OGWmLvrojIyJngofj16EovQEEsm9+CXJK9sWYU4Usdi94QgxdEDOLgRV+T76aSJO+AdRPmF\npFhIs5TlKORUXlA50Mu8hO933kWtRi3QffAsbG5Py5ZPn5P89DIBVwY1Lu/BPdr8L4SD+9fAkr24\nLVeEkLAD/bn6uCCNxL0MmXKjlxuPbTsyMamNnSxO5a/UsJHO/uH6QCFrSc+WZNbJ6Lpsn11ZMhhw\n/CvTX0kWlnnRvjqLBnDt/Dl+PzITKYnP0KTzQGBOKC3IysKLB1cRhrbwoL63afEpcOgSv5eQiy3O\neECznFIYkJBG9i3hiShcTVK8dvIQC7xn4B4xyoj4Hf399qKkJ+SFsw9GgBFgBBgBRqCcBLR9H5Yz\n6/tLVkhvEY4bP4++OIsQ5jMKj9vUJztnD7B8/QGgx++oQ7NHTX8Lx93hHfB5wiR44CRmJPXDtfU9\nSc8QwEtnHM0QcVu8pRvhPNIavzo9w4Q5d7H5yhrljIhqKzk5xg9dR9/UxfAe+QLLf5uEI1HrMdil\nI64FDkXepjkoCjmMhR42tJl8MsbEkQLh0w1Ffusxy7uxalHyYyG6BB7DkuEeaObrix+sk/E3BmNV\nD2dUGzQLI3384WNfgETzvvCc3Qt+Y1YhbMQgRK5Nh1u9L+C/1BPxxx9jdogb/vAZS62Ox8mRS/HX\ntCbYTrNuKL6GIYH1sX1aT+WyLV+xQSVcC+iKsZWXonXBdexvPg6r7YxQjKZYONkInw3xhRcty87f\nLIBl56mIWDoNLelFgOAVzjh2IAvzVpNSQ68OcMry/wb6QDSyFaIm/ogaa/+Cv1anyIY6+0BKTEdr\nMHVQKM28sNoZrXQx4fb565ThwaEgtJp2jErIwy7X6ahe/Bu+HamHQa7V8dfqePjvGQ/L2q34tjn3\nGI/AnpbYMu0c1l3cBjduNsxtHCJXzEQr1/EIHmmPC6sXUFkF6NR/Ls7vnosdF7dgUCtbxAcGwezy\nX7CYG8w70r5HS93HVxZAsogXnv1hBBgBRoARYARemUCFeSGgvC0ryBbhKYxhaVZ6fU9bnIQ2c5uP\nlNKm8OEoIHMQZhZmKnNz5a2VM+uQTTbPLFCtdLXlKkSbbOLcbOTS7JUFmewAmayQCA2VsnFmQDKy\nxSSvhfJauSriEsnLKiJWz2gnGV++SmbODIjU2AzVVFR3gZjqy5Uo+XAvaPSsGYAFj0PRmMyQvChn\n27W1U6XqMg8185ZfBs68hZAUVBmzqsSsikpNmm1TiYJqnITMi3D7+wxp/5ksvHm/q9bFjhkBRoAR\nYAT+WwQ+2BcCNLuxspkFLDUvys814zgF52b8TXrbrgD3aJnQmRSz1wtCXkl6vbyyXJqycVcNSUFS\n6noqihkXJxUaw8KClLbXCfKyhMSKdpSVCsZmpTlIDak+pTBk9+xuEiKkh3H5ZjKcXGyVm+pLFaZx\nQVs7NZLoPFXP+yoyCEmhImaktGtjpt429epV44TGmrzfvN/Va2NnjAAjwAgwAowAWQ/4kCEUZd/C\nBZEL1q5piwvHL/NvYH7IPMrf9hxcOZ+BtWvXQnr5Gh4r9qOVv4C3kPLfIMNbaAYrghFgBBgBRoAR\n0CCgWJ/RuPxhnOpZtMQIn5YfRmPfaitroPuIEW+1xFcv7N8gw6tLzXIwAowAI8AIMAIvI/BBz5y9\nDA6LZwQYAUaAEWAEGAFG4H0TYMrZ+ybO6mMENAjkJ8fifGLZvlA1srBTRoARYAQYgf8wgQ9qWVMg\nyUHC9QTyh1gI+gcD8i1pYFCI/HzOVpcBHRvAysEJ9cxKGyMtFl3Fnn0Xod/QA309Gv7jQyKTnHfr\n1a6L6u+hB6XJRzFieT5WLOqr9pbj60C4Eb4Plx+I0bh3X7S0KM35dcp8N3kkuB95HHH5RjCmMZKX\n94KvxsjMFk4fO8FSzdzHyyXgHLcfWb0Ch26KUGTujNFDWiHuZmUMIs8Rx6f2wZAOu/CULbG/HCRL\nwQgwAozAB0Dgw5o5kyRhcocuCL1GTsTpC/f8kt7o4LESj0k3K8q4jvmdPLHttsKwqHrv65vZwOLp\nAQz1/r/3bmD0YfQpuRNymUwC8WU0cHLCoL231YV8J2d52Dl1NHZfE72VFybqOVrhzMTRCLunnfM7\nacJrFmpYyxqZ+79Fr97bIbSuBxtLMzw6TuaBrVzxf8kyw8PlKVogvoOZ5o44X68PFi1bhp+HNMKP\nLh5Y/0RKpjoSsPZgTez/8uPyFMXSMAKMACPACHwABN7DvMu/h+KLB3dgFxKFoMFNeKFqd+mIH5Pa\noruHG80IuaH9RVP8GEuKW+vSPjWlwhpw9/IC5oq1+qt8l61MPXEE2Q7t4SA3ZSE1dMSZ0FAUtqnz\nLqvly86OXIX/HST/CbzzzTevzqiuC9ydyITwv3nSjG+mELXsHGGYXgT4j0FXFyf+aovWjkgLaoJv\nDsSXe6br1jY/LJu8F0+9mssA2rXH7Mm9cL51PTy7vBInx/hjnxkZvmWBEWAEGAFGgBEgAh/UzFlR\n/gs4Nqqp7PhCMkrKBYUlCD3r+hA+pGWn3EeIjY7GrWT1fUCcr29FKCKDpGKxmP4rcpPdrYRYXIiJ\nI7dHilTaP3OS4xEdHYOHudJSCRRxqbmyyp6TBf2JATEQPKf6qE6uaIlYCls3Nzgaq2o4ebgdE40L\ncXfJsKw8kLFZkSiNjMfSDA0tqyUkJPKGZBXRL/sUSG7AP4CcnUf9AZzeg5ta5C2rjKLsFJ7jNTWO\nRWRnXwryxoUXafdwKzFNbUZOIM5EPLG/QrImJ4uUfcOljabrd0SyGSvORp2sbRLyOZqCu2lcX0mQ\nm8v1SUm/SIgBd54r7yfNcsqSn5vV2n8wG9PdGyiT6WXfwBxyTfCZRVXltbIP8nBh9wVKojJ46MzQ\n3h2fWBsgakcElo/9tOwiWCwjwAgwAozAB0Xgg1LODF2+gI+WWTFFjxcbf4xZvR+iuvVw8qmYjwNT\nW6Bd4AmlgqBIx003nl3QClZWVugWeIS+qjOx+Ut7jN6biOKkw6hHro4i5b4vFXkUn7GBzVF39FkI\n8mMw0NoMK6Nppo4PeTju3xF1px5BfuENNLaugfU37mDnsrHkKOkMti8LwpwFm/jlzYwz62Frawvr\nlbF8Tj3RJfiY1EVo0gsU39kLG1NZ/S/SojCzlzMaWpuiq89viL0RgT5U7tYEuV9Kec26Pi4E/YQ6\nP4+GgwHttxKY8H4ldaXVvJ4WHoTq9QJ535Txy/vCwW+PUmmsVr8S5rp6Yf7hWCSc/AU1TcfzvPSy\nz2NUf3/cpb2A0hvb4dR8I3l7AG7tnAmLfhtor6AIQXY2CIx4SMvQVzDLzgkNu3yHCYNb4SPHegi5\neh+hIx35fvnf+nO8SBeCevDnS07c11qOptyq5/l3Y3iXYS61DEghFuNxwmn8+Fl/fDR5G9YMaKya\ntIzjqmjTvyMQ1Acmrl9gTvBanEt+hmaDR5OLsBcw7jYVfeqSCzEWGAFGgBFgBBgBOYEPalmzPL2e\nEnUEaPYlerb2QO+QjfCvtwUJkz9FU6EAgkKa6XI3QUHubZxK6oY/Yxagu101PAobh7FHZiBre1/e\nldK5H5uj7fbLWpa98nBxYQYarPBEKw8H7Ag+iKYnEjG6tRU5zF6G/kuccDXne9THI/iR7f7DCSDl\nbD92bZiM0QvmoDXJwIfO43E1MALOBdxZHjb18obe/puY5WFF5+5I2DQFjQZvxuOD32DlxiBsazUO\nk5fOQVfyGek0bxvaHorH4EZt+aJ0/ZEmH0Bg6gDsoiVIPZEdmdc/TE7OxWhdV9XxkfbceqIzcOzn\nj/0PcuDBLde1DkOmaSN86+qMP71r48XTIriFrMd8fnm5Dy7ic7QieR/MFWE7mmN+MydY0TJi2E87\nUZh2FK2//RX7UnPgSfJ3ifoZJu6hGJM9GSEXg7G1dQSm59zHqLATMLFriEbbI3DJ5GM07+DMC9e0\nrRcm79mEWU7XYeqovZxq2puB5POcgueOmAM0Bp4+wKyA5cC8v/F04qvZxnP8JoiUPCes2b0YS2cf\nov+TsClOREpZVbh6ueuonV1mBBgBRoAR+FAJMOVMo+cbDP4dJ43/xDw/Pzx//oCUkicgF5Ygzz+Q\nGpCzo9PjYGtN59yXNClmnPftcwcOk5PxDCwOzuLdLV0KSEG7YNUlR0UlVTEy6TRM9xzCdN80iNMj\n0biDHx+ZHn8JGDYMdfizWpiansz7cQT5sORCoVwG/oT+5EG2JKqXexd/xuXC01S+IY3iLOxpb9OZ\nCCSIh6BRIc16NQuCK+fMm4Kwsin579YmGx8t/8O9BDAex+53hK9vOM3yZfDXUzJpSbEcylk+Of+G\nYCis5XVy7sk9/Z3hd09E5dRGQVYROjjZKCts0K43MOkg7jZYAL/TbrA3n0xx7ggIXYpWWdySIDB/\nQSBiqwtQIE4DmpjiEa3vGuSTdurUFjWIen1v2g9IQUqq7bjAT+G6IBxjtnth35ZcfLnaBuK4v/h4\nbeWo+hDlE/F/8hC7+yAQuAfT5W9RftWyGhrOjkIWKWeldyWW5FQ9ykxOg1Hd2vh0xBT+/4u0S/jR\nsSv2X37w/+2dCVyN2RvHf7eFkEoSIkxaUMguiaxja2xjacjO2IZojCyDspURmhnL2PdlLE0z2dcs\nhUSkKERKoaJSuS3c//PerbvWrcF/6Bwf3fc971m/59x7n3vOc56HhDNL2aTsmhFgBBgBRoAREBJg\nwpnCRAhb44YuC+vj5P1laFftIaJo1argTTr4elVo5YyEAbuFCN1uC4eWnbD7m+cYblEOprVJaJv5\nPTzdafuKC+6zUVCgSvHsGZbUaYfj87Yh0H86KoaZotOVfNKZIgfk7ynfy2yhZhI3KDrkYJsK4UoT\nBgFF5sdexT3TNmgiozzOxQuDjLwlEF6L9OmEq33RuVKNp3yxUCfOpfIlnVbxtncLROYY0eoT52A8\n7QAJoCUKL5FTQAKkeLUvJyOJk9FUBp5YHettaiq6RERjTEESIsL+xuChrVH3718ojyN858+mbUCR\ngPnTvAJyAi/WFZTpm6TwJv2mArNX4GgwHxEOLhhBD/jc2KkpR5JP9pXHf4S/L2VizqKvpNEvH5AA\njR7S++IvnmOv9xEM2zRFaoKkXE1b2NtWQKyZpuJd8bWwFIwAI8AIMAJfFgGtL6s7peuNRL4BMhC2\n8AoGHP4RDjV1kR9zBRdopSf/1p9Yc+UldEj3yuDr1rC17oHbW9wwudlCRBdow8pxOLAqAA8kslTs\nAQz0u6HUmPy46yBDDFjl0Vu48nJr9x+IIrHp9pH1SLTpCBzdgVtiXTVB3AH0pTJ4JKClCV6RkEOr\nZU8fSw8b6IIElfK6EOhZY9IQE+y99kBaX0TADlqFGw5bssWlV1Ek0Eg2I4X5pCmVL7TSwzHZMxcb\nxYIZl0KgVx/OtL2552aiOEM2jnkOh/ex+8oFUEzFek3QWHACsUm00kaBV/AQW/ySMbGZufC+vLE2\nfC5EC6+5P9cP+VB7x8D+zU3MPPgINaybosewn7HLqSmyTOzgjFDciZcccyABt+88PCbWOrryfZMU\n+K6mA3YOiYWry0T0HNBMGF3RsoXaciT5ZF/zhfpmbdG1cRVxNPnyDAoDqpSHAa2W/rP+L2SQrt+M\n3tNwMVksXcoWQNda6fHY9+dNJNABDknIjz2GydH9MbSZpFzJE/bKCDACjAAjwAiICGgvolAUjJCQ\nEDx48ADOzs4wM+P28z7/kBK8g05ArsWRE49ot/IWLly7hvP3tNChfRMY1cnAjyP3QM/oMQ5czIaT\naShm+uRi+mhDsqgwHXcCd+Fxnc5obZCCTYf8sXnFIzh7L8bk+sFw6Pwnqtd5At+NT7Fg8XDUKCcS\nHiTEtKtUgUmcP36mE4C8eycRqtsA+ss8cMxiFOZPGItvLe+jU+eN0Kueiq2bnmDm4mGoqW8My7w/\n0XvTTcTceoe+3zkh+4Qf7CduBc7EwHLgAPRzHYS8VT2wguTBF2d8MDKmDyJ/H4bKT09hitsaRL68\njSSj+rDMOI0x4zfg5fnryG/qjI5W8qs3T4/5obbjaMSmZMKoXTe0r2dEdrgews9tPOZcicWrE1eR\n2ag9ujbQwqmfPbH4Ui1MHduatOPkg0CvNgZ/Y4OFrSbgnlE+gtzdwPc+ilUuDel48Hs8f/gIoO29\ny3dScD/IC94vRuHir4NhkHYbs8a4IbECp4O3CwcNBmDmdz3hOtAOS9o4IdyoGq5v/AMmHt7onH8Z\no0dNRky1Z4giJ+x23dujmkQnjyTZ2ibv4Jc/ChsGNxIeSRaUq4l+Ksr5mvS+5EM2TvlOw4gVfkhJ\nicfDaB5a9OHK1sP7zAhs25qAWhUuI6JOH3Q3eoKhc3+Gbns39LIyki+G7t5EBmL2jYd4tOMwnmjx\n8Sh4Gzp9dxdB939DS0NtpfQsghFgBBgBRuDLIpCcnIzg4GBYWVnB0dFR487xBBSKSr1y5UocPXoU\nCxcuRIsWJVOELqrc//IzzkxDCimaGZmY0Nd8Afi0h6ZXuLymtuk8PuXLKqB8RsKDAeoS8rPSkUVl\nmhjpc3YxaItOT5pevu7CErLS0yHQN4Jq/ShROm57NJPEzWpGhfpnhSV86Ks0bPA6g2ELh6Cy2qIL\nkJ6aDm19E1RW0SSl9opZvOO2eUmPTMhHWnbRZUmTSS/UjVsJy+G2lnUKBz+DTHokvtKGjW0d4Zhp\nJ5zHujhrfN+xlrRmycU7GuccGjMD8kzxKC6Rzv8aoL61uXSLU5KOvTICjAAjwAh8mQTCw8Ph5eWF\nXmQnddasWRp3svBbR+MsX35CgY4+TExIcBIGzQQzLqlAj/KpEEJE5RT+1aMvbGkyGcFMWIZc3YV5\n9I2UV2YKn4quyhuZoJpi5Ee6Tz62AeGWAzCxyPJ1hAKuuiRK7RWz0KF+KK7Gcfu6nLCseVA3biUs\nR0Yw4+o2rPkV/Ze0IhuHvTfD1Hu7JELuVZsTpilGoGMIC2s1CndyOdgNI8AIMAKMACMg1GRiGBiB\nkhLgI4k0uHzFnhZKmvtLSc/jp8Bo9HI4k34iC4wAI8AIMAKMwIciwFbOPhTJMlWOHlow+1y0UloP\nzu3K1MCzzjICjAAjwAh8AgJan6AOVgUjwAgwAowAI8AIMAKMgIYEmHCmIajPKdmzsFA8TFdt3uFz\n6EdOwm1ci+N8ZbLACHyeBHJTE6Vmbz7PHvx/Wp1BJ9tEBnj+P/WzWhmB/wqBMiuc5SXfxnbfOWQB\nfzqmefrgYsJbvA7bj713HuLcwb3Ysuc0Xkrslv1XRkupHWnY5DodN2QcknM2xTy7kGX8Z+o/4nhZ\nj7Gf+j7bazXZ6FKfTqm6DxjBOWI/uX6xkP9Ury24G3cbB4R20/g4/VM/dDsZ98Fq49FpSVkn6h+s\n4FIW9DriLLZu3YqTUSLPCx+7fRxrbk5vPkhzuhRtfpf+HElCNxmlyKyQ5X3qHRyivu8PJnMqRYRX\nUeewZPx3GOkbUKo2F1G0xo84btcO/gFP8hbC/ffbcwFkcbDYICCXYwNcdiGDKY0QqwLcP3MIe7fu\nEX7GFgcvL2ob7DxPKvkzLi4fe84IfGkEyqRwxtnzMrFxQkrjwVjk64dffvwGd7wbom6XCXjxnswd\nmGZhxqSf8VDGeOh/ceCfB/rA42isXNNyYi4gUGs+htsayMUX3hTgr/GdcbpxH1ifWIk+xx8UPvpE\nV5zttPnGNrhWtx98/P2xws0ac+07YttrAdlVi8WWo9Xxj2vzD9aat3e3wtbWApdlhNgPVngpCqpU\nuxrSN83DoNMiAeVjt487LcrN6ZljaU6XmAEfR3q2RIN6a6WO60vRZWkWbaNaMMkNxoS+f6kVdLSy\nbsLFYSUcZ01EwNKRiC5xm6XVlfribWwQ2hlbkK9Xe8xe4gPfJXPQMPJ71Gvnh2dF/mhLw+oGXpjy\njyfqlbr2LytjlZrGuOT+A648L/6HYLWuc7EbvpgbXJqfEV8WN9absk2gzAlnb6P2w26oF3wvPsGs\nXs1QhQyYlTdphKmbrgqdjb8lkw31HJ3gzJM30PpfmyZaWXfg5baFmnUFYQ8l1vOBu0H7MOLQUHAu\n0FUFXsETnDjWEGM7tMO48zF4OULkoklV2o8VF7PXE/4eAVjQq7HQ5ldFCycs8HCBS6u6eHPzDC5M\n9hI5TP9ADahg2Q/7dx1HE6mvzw9UcCmLKWfSBP3HO1Ju0SnPj9++fzOn9dBl817sOT2oCHt2moMQ\n6FSFYxcnylBe3HvlvNnxNxFp1x9trTsg5WkS2n/icXsbdQTVW36Hb88+wJpBbVCFVsA4AbeXzzlM\nuLsM/uQtRF3IOOOPRZOWoJeJvAFqdem//HgdVLftjKneLhpvVzp6emND39+R+OXDYT1kBNQSKGPC\nGR+n6BcwnPww3F5R+KqBvt4d8DqHWBWI9LV0dch1UlwsHiUr6z+lxUUjLCwC8VmitLKE36Un4nZY\nGCITZPMVIDEqAtcjomiLLQEp0lW5AjyPvS2Mf13kL3LZGoDzS9ahw9kgDCNhUvJ7lIcn+OuvFpjW\ntZZ8Ypm79ykJ2EPuoHLeZFE+HfDJ4GtS6ltysZSBuLgEvJG2IRsPIsJwPepR4YoJGYlNTU0mQ7u0\nwkVbPrGxcdLtrjwyzhorl1+mUrnLbFw/fJ1i5LnpWTqijZkuQg8EY+2UTnI5ZG/e8dORRnopbzhH\n8LT5kU7+OJOTUwsZ8NMQTexvUdtEW5kFpPtTBe06NiUTsFwW5T5whoNlA2cIOI7rG41tbuoDXAi5\nW8hAmrCw7gIqMzE2Fk9TRf5MpUnoQvVcAHJyJbafFdonzizJFyOZQ1QHny/+L2wuGdkV38vWp3id\nS1uSsbEJSE/nTODKB27MwojVQxp/LnCGjoVsqa60OFH/ORZatZrAqaFI3C+QtCErS7z1JGpHVpZw\nQITzQsQ/SWlrKi0hDlx/+Pnl5BuicJeeSsJPdApeUpnaZG4wXTjnCsgHbaLCe/HDz1HuPbTMYQLg\nfQozWin+xKmKNk762HBL3ZY7Hxe2RGDzlPYKPdLsPc71jxurN2T4+FlEKC5HkT/afxEKyCh2erpk\nnJQLUjnPabxF73Fl3tx7XtXYKs4jSU1c+dz7IonGUbe8xBNHAbi5Ipq7ovcd9/7h7rP4ovv3Rm1x\neORtnIzlPoxZYATKJoEyJZzxChJx6WgmGvRprnIVoOHwlRhrLfJCaSgIxc8/TMb28Ggcn9kUDmuu\nimdIBvmV7IR2Gzkn2MnwMasOrzPx0tmTfMYPVer6IoFiotf2h5XnEfpi5+PY9IFYH52FKniOubZN\n8FskJ7ilYZerJSYGxOF9/HHUrToWIWLfmtICVVwURO3EQgyGK600mZBzohepYiGQvh+dfb6HtYo8\nXBSv4DkO+iyiq2js91mCTecicGrxQDSwqI7KfXvC3t4WtTaFQ4t8Rk4yMMf++Dy8fxiAWoaiduUl\nh2K+SxPUNzNE90m/4fa9YAyqUx0+61dg5sZziDy5GrVMFhT6GOUqVQqV0HpgZ8CvHwwchmLhmi24\nmvAGdsMmkmPzPOh//RP6mav/8n55eQu+srFBl213qORsnF85DjY2fXCLBEat9GuYMNALj3QrQnBv\nH2wb7yD22bjiPwp16nTFdUqjqg/9zKpiT2ymsKV5ZPHfxbgrAm6HY5VZDVRz+RnzejjizzjFL4pU\nnFw8luq2gHHVkThx7zY2utQXj7eo06rngiIQ+fZxT1NCfkeVOuNxOycHZwbbwmDNJby+9Re6mFaH\nqakpDj3NI8+qiVhqWhumNZap4V2A6+snoVrPVYh+ehO/uJAeIs16CdmYg/NhMmA70vNT4WdRC77B\nz/Ds9O9CtrWcRsHdvgUa1P6VBLYYrOxpgzq1Nwu3IW9umyFsg2m3X4UrG+khG4T3vf3OIDPhHLHr\njTMZeXiy9TsYT+fmPs07/hOs6l0L4/ZeQeLNXejh8AP5oFc2M8z1/T3NvbUrfqOLv+FH24lnwq/i\nZwtb1O/2PaYNa4lmNnWxLirzo83R+MC18IclDg9vwzVHIWTj5Sv6UaG66fT+SqRV6QLUriJr906z\n93jMwR9prH7F7dv7UcvYGO77t6GX4z61W78KDZO71cp6iN/Hd4DxQHcs99mJx9IfgoXJ1M3zQ+H0\nuaeCtyi98tiqmkdcLW9o9bEdvY/233uAi2vd0XL2bhjp6hCjVOwfbyOcM+O2iT5Tr/v1Ft6vOvdE\n3EAd1G2gi4NhhZ+r4gfshREoMwTKlPsmHv8eJpo6In7NGRwb01ztIPP4dzDctCO0j9zFdm4VKnYz\nDFpn4Em6B94fmwWLJXXxLGSqUMDTyroGfbPp+OdpKDoVXIG+RS+6zhBvy2VgnaE1Lm3ZguwxSzAp\n6jR6mldGQcR+bMrvjv5JC2A9qilevR5Pa1gkMvk2RluD7cicVJSbrDT83tsL7QP9Ya+Ti4O9bTC2\n2wFkurdV2x/ZBzzcg4uhB35OO4pW5IuSh4dwMWgJwxNx2GoShXP5XyFlXFuE+tzE2o6ilYPngbNg\nvbExXhwdgQqxO2HQcioOJWWgO203xa7vjpZBw/GKnunSqsNMQ1f0iA9BNyP12zpCBfWdW7H58Er8\nc0m0arMzKrVIoUy2D7Hrv0XL3DnU5xb0YU/9qeoBz2dH0fzeapguqoyHgeNhSkDPrz8I20mDUF0m\nTTtui0yhD9FruqEtFgsZiq59hGUXRKyF8eRyNNbjVQrzwrqNHTA65hX619Qilk8wn1jG7LqKQ47P\nVc6FCzuv4M++lohaPxAOuXOV+tCefL32MeuMHqFJmEzO5h9v/RZNN38tbEMFEsqN2wXjatpmNKKx\nD5jui9q+C9CKHNwrhvTgZajTl4/odG/UpoecHpeD2Xz8knQUDm9OwdBmEP6mMXTmeETR/HbMwLP0\n6TjXuz7cLLfhjZ8FAk69Rh/a+tfheLXOpOeiOR/i1Qg98AcyFzoJy506Lx6r/Dtgh6EtTuy8gYN9\nuRrT8LOBDVrEJMDYvxn6VFhH6UkopyBs2xwD6XtIGCn7h6tvVC5eEXfufSEcr1bBuJOxFmmB52DY\npQOudmvwEeZoAUK8uqPHyQF4Qu9vY9k20TXHkBubOkdu4/eudRWeip73rrUfv2WsQD3x0+eBUzV4\njz8jVk1hFPoUHjTmx8dbwt/5H5wohZFnTm1hvnFLxG65jAODGii1URJR5Dzn+Mvxbo3gWnbKY3tp\nB0Y4uSrNo6Tn3TCJPj8dQuNpDnPrtaK5UOFiLOmWGgvfJx4GLWB28TFm2hsghX7QrtV1wyLx5w3X\nxscHp6BVnBtSZ2v2uSbpF3tlBP5rBJj7Jg1GRKBnhpa2FbAnIUW45SL84JfJlx97Dsfz7dG3PpAB\nG/xgL3L0zs/htqA4HRk+LgcEoIHbEemXtUCnAvoiBiEPXqON7j1aJhgJM+4LTxgM4ezVBJ6JJjjr\nbYYutiToUejqsQm/zauIqxuP0wpBClaueSV05xS+NBHt18j+6hYml/uTemwN5l7ajtEeJFjlpGDr\npddoP1CyHiKXVPUNn375U8jndqE4D1X8HAh4X2Na8yrQ1XNCT9Jl6xOVBWdDPS6ZMJhYNgYuByOW\n7wbr/DzAzg8O0j7Sh28fW+GXqICcRzVrlIBLxKJbK8WvNlFZaQnJqGheE53GzBL+zyMH6HNtuuOf\nm09JOLMU11j0Sz4kW4KUTrwFzeWo0PgbeF5ygKWxB905Yun+1eC0m2TTcLdvFfqgU94QyBVx1zHg\nhPFULhmyMjLobxEOsbi6ee1gXlk03gISg7pNNoH/4wzk1FUzFx5zZSv0U6YPOQ/DcQEN4FlXtIL7\n1Zj9pBdIrqi4Btn2hpfgR6y78BLr7W/j1FdfY70KwYxL+iyaVnZ7DkJV7oaCgNxQVRVPS/6rF8K4\nxUt8cbsKD7n8ZKChIZ7T9tKbV+8wglYABTp10a9XPWE6fk6u8FXyx8FtKWC/DGHzjsH8eAAajp6F\ncllPcEGQi5M+vljzuDZ4ubm4Te8ys5QYnFz3EnPO2kuyk44nCf3R3ARUHYT1RecKt6orUxLhvW1b\n6ose6vXtRULSHcz8KHM0G/dOxAAjWioJZlxLn5zdR2PjgMP2dVQ3nGL129eVMqeW42qQJu9xPdTk\naeNxBsdEC0l338KgT9GfA+oa8ObuaVr5y0OPy9vgfooE4/7eGFfpCjZdeA49mkRv+SYYNnsMiprn\nqnh7qRjb6vHc/gCgOI/io64ikNcd0+pzo8cFPfJFq4enoht699bDhDWd0HL+McwMckHAgXyM2iT6\nIShOAvNGzWCjbvdYkoi9MgJfMAFF+eQL7irXNUM06Ue/JpcF4fG8r2Gl0Pvnt0OR2qiliAEdCKhU\nKJ+IueigUlUd3M8VCTiiSMUP0ZfIKSDhgValuJCTkYSKlZKR3u4XJMRpIToiHDsHTMDMRnaYXpv2\nR2Z+D0930YoC3GejgHO0rSbw+DcxbYkRHmZmShX+xzenFZjDpBNFK4GSj0I12dVG82jzKV9crUDC\nRKZbAuG1SJ+Kl099oy9OCQGhoCT/3Q09mbzylT7HXu8jGLZpitT5d7matrAngTnWTLUwJ5+/6Lvs\npFR0iYjGmIIkRIT9jcFDW6N+XAZ6c0KoTFDZB/HzOs1bAe6DMA2j8TBSgD93/1AsVykzKiM7jUDW\nkNBRngs0BYsMAl2aE3KBE8wK6J8O/asK110jYb16Nzp3S0P3IV5yKTW94eVzA+YI3/mzaStZNE9/\nmkd10GrcRfrqNDOpUmRRPIvOWG07FXuOnoHF5ZoYMMgAArGstWjzUriLTwpPn72A5nMivEjgkA1q\np4dsIsVrmTkn5S1T0IeZo5Vg1ZHeRS9FW9icvuGNx+/RppUNCZ93MM9tM3qvv4huRSj7Z12Op3Ui\niOeMDkw1eo9XpRXeRvBc+hPyLHOQ2NEHv/ZWEOAVeai5T7p5hX48LcMGf1r54z5LSCh/ERGP+o0q\nojL9hsvLM0JF+myqWtw8V8FbcWyzwjdhrop59CZmr5rWFUY3GOBO77MfsTswHfHO/Uhckw/J0RH0\nk9dOPpLdMQJliID8p2YZ6Hhrjy2YLtiHFvP/kSqRc93WSr2Mn7YboR/3xaJDn/qkNC8JehVFX2Cc\nK9KGXQcDC/fTBpYo5D29g0DaFOvYsAoq1muCxoITiE16K3zI2Rzb4peM0XZ68O9F+k8mX8Gh67f4\n/cR8JMa9gZXjcGBVQKHOUOwBDPS7IS5Z8SUbAT8sQi8SFmR/Y+qWp7a9zhWuXCnmUHnP9Y2C9AtO\nfE/qIKJ4PWtMGmKCvdceiCLob0TADmDUcNjSKo2EhWhdhztvyLGRfEsWIDOaxDVdJalWWJZWejz2\n/XkTCTI6MPmxxzA5uj+GNitaIJA2hi54uZnSOrVeJ9OKzWVk0/eQVlo4Zh58hBrWTdFj2M/Y5URb\nxpk0Fgp9VN0HSQ3l4LrmGOZMmY4/Ni9AezNJTyXPFV4FIXicIhLGtLKisfdAGma0tlA7FyY2MxcW\nIORWXsxNpn0VbTpgAh5g71XJOsNzLOk7D4+pf1yo+bUb+l5aglHXmsClCJ+etZp2Ao6FC3UfuXzv\nU54SJwG4ca5o2QLOCMWd+DfcIwrPxHVo0/owN57yQcJLIrdzP3K+WTwFW90G4lLnXsJtU4FeI4wc\nXQ2LDhXO34g1I/Hr3YrC1cTlu8OkhcZFXAYalVc7ZxXr09EVtUkyEoKPNkfF7+9VexBJdhB9FwdD\nKyMUGwIvYOOQ3gj02I9dwxpL+6F4IdAzIBZ3SQFesrKro/Y9zul1zug9DWeSubmTjRdpVti9YgFm\nTV+C337sj+pS2Nmk4zoc3sceCquT5LsozKfYAsC8TXv68cS9PyiQYMYjRfvq9l0wfNAg9O07CIMG\ndUMtYdnq57kyb9VjuyXXRuU8elHfAcMEp3HpvlgXFumIiSKlf8lvFmqaUOl/cjomu/2E3n1thM2V\n/fM29TmaWxjJRrFrRqBMEdBeRKGoHoeEhODBgwdwdnaGmZlom6+o9P/5Z1pG6PrDAFQN+A7d3EJR\nvnoeYoK3YZzfM6w4QPpkWs+wcdIMbIwKw+77euhqmQ6/n37Fzfh9iNBqjO9GjIVL9dNoMz8IRpk3\nMHPwUfjc2Iuva1YgX4u1MfgbGyxsNQH3jPIR5O4GvvdRrOpeGSdXTsW+OD7yU29j1fIozFg2Ho2b\ntkeP6ufh0PlPVK/zBL4bn2LB4uGoUU7+CzI/7iRG9nKCz/lH4FeibVdna+EW64U1P2Ha7EN4+TIB\nl+My0bJ7W1QTr9ipGgfOvtjKkT9iR+wl3Dr2CKYdbXFx7ixsvJuK61fvwNyhEyyrVIB192+Qt6oH\nVtD37IszPhgZ0weRvw9D5aenMMVtDSJf3kaSUX1YZpzGmPEbqP5YCCroImKLF+beeogrsSlw7NwN\ndStryzXjTWQgZt94iEc7DuOJFh+PiHun7+4i6P5vaGkon1Yuo8KNjrYAZ0f7I7N6JvbtCoVh1B2s\nWH2R2m2JzTNGI7GCKVKCd+GgwQDMcqmMteI+X4nWQ8emGfh5pIo+nL+O/KbOaEr6WOPHzcTv6zZg\n3e/+8PvFF6EV2sO1bV2FVpCQWPACx37Zjl+C42ColQT/bm6ouuUsfHtYqp8LLg2RSHb27CdupfMk\n1/DOyBxhS5cKx4RrX+cBPdHP1R6HOnXF2QrVEL3vD1SYNB+969KPBi7oVEeNvGswHzETHWtJxBXR\nI9m/euat4VLnItp8H4DqWg+wcY4HIlMeY+fVXPR1dcX4IY2xpI0Two2q4frGP2Di4Y0qQd4YspdO\nCV4nI6DV2qNjAxNwiuCTf1iFuzT/k4yc0KeVaEtP38wEUSvvw2PDZPqy5+arFup3ckG1Lf0w4pIA\nFe/8iX3vBsDrWztY0cpItd3TMetGBvjhf2MtKYc/eXkSZ/Ma4FvnhiQQFgZurkvmmHBOW2fAY+xk\nxFR7hqhrKbDr3p7muO5Hm6OVyKxLj+qX4dRnKkKafYNvjGIxcewMtFoTiqMj6uDBMwFMDGVbXNh2\naFXEuztb8KLtUDQRHwqoZOGg8j1u/Oomhs79GR1prjWpoo3o5T9g1PLVWLthA37394Pv8uWo/s0U\nNDPNxqmfPXHeZgiGNauOvOeifLrt3dDLSll40TW1IX3M3zE04Am07xzGkmCIPy9k2kmX6Tf3q5zn\n35rex+hRiry1VY7tQtfOGDTQTmkeda9bB10GNsVKh/G4V10L4evmYwWdPL268xTqDByMJlU5flp0\n0CgPv+hPwbpelvKNo3Xi6xv3oe6AsWheVfLDTyEJu2UEPhMCycnJCA4OhpWVFRwdHTVudZk6EKBI\nhTMz8PRZGt5XMEZ9i5pqf8kr5uPueXRMnTPBYGRipCIfZ2YhncwAmKCycBGJzA0U6NBWHuUhS+uV\nTEyk23rFl6Wq9k8Tl0tmNjJJMa2akeqVsJK24l1WOnL0jWBAZjsexSWCM+5Q39pcjoWmZQr5vyaW\nNU2gS2NRQJt/emT6pEBHj8xXpNJGrR5MjPQ1LU6YjjsI0qf6Uix5sR9Nxbpc71Ovkg7iaiygOEXF\ne9n0DbLSkCcdb9lqFeeC7LOirkX5BFRmFcL/Lus5nryphPo132PH9PXo6K+ZkVPZeVpA5i84xSM9\nWlERhdK2TZybTB/okJ1AxaBu3ojiDWk+kfYmmVPQobZIm6JYiIb36urSMLvaZNxcjU96Ba2cWxg8\n+QmCQr5HyPjvkDZrP53orqg2X3rwAjow4IhM/6/l0siOgyIxPh08Md1mKZcn+cwC2PzTCq/8XZQ+\nX7RJYF4XZ43vO9aSq0P2hk/tz6LPHFXvAdl5q8k8ly1XNW9180gcb0Sfg/Te5Exl6Om9I9NBr2h1\n2xwJe+bjuP1P4kMDhbVopZ6HvuV56WGWwifsihH4/AiU9kCA1ufX1Q/X4vJGNWBlawubEgpmXAsE\nevowUSmYcU91SGiTCGaie+47TKDD5ZEXzLinRZfFpfj/hPL0ofqhBDOuB9okmFWmV86gp4W1LexK\nKZhxZQmZkWDGrR3p0FjocYBJMOO++Lh2q/pS4vIVFQR6VWEvOIsT12JImKZzBKQg/zjiCoJ5TVFX\nSfGebFc9ikew4Dhu3k+Attx4y9aiOBdknxV1LcrHCWZceLRrBJo13Ig7ZzbjZvtvUU8YW/wf2bml\np0+c5KTvLRANAAAqQUlEQVSh0rZNVK8qwYx7om7eiOJFKyF6+v9eMCuqLlELS/+Xm6sW1hb4qoEV\natxdDEsDM4zAKIwsQjDjajPqOB0+270QkPxernLZcZB7QDfaBibA9iAyKfOafmSIBPFbZw7Aqmld\nJcGM2wI97L0Zptayyg2KJZIMTu1X9x4o2TyXL1v12KqbR+J4oTSqA30Sxstl3UWjlrY4GxsK/6B6\nGKrCk8mFxd6YcWyqcLtcvnZ2xwiUHQLCt03Z6S7rKSNQFIFaWPIyAsf3HsaK49tpZY/OajbugshE\nZzk9P1EJGbhF22xbyEzKm5uReGFXR6zLU1T5pX/WwHUllt7/HTsefAufSZalL4jlLBEBTpduxZHN\nOP9AB11H91UhLCkWVxVTHy1FL8tFsEv1Vjp0pJiau9e1GILEW3Wxd+9vOEn6mDm06tus52Fc7min\nlJzHT4HR6OVwLkLfUCmTUkRJ5rlS5n8V8V7fDoG+P2D32quYtN5d6VRsypllcDP2RHy7ooXPf9UI\nlpkR+AwIlOltzc9gfFgTGQFG4DMkwDmLz9SvIXT99Bk2///W5AzSzylXs2apVB3+b41mFTMCRRAo\n7bYmWzkrAip7xAgwAoxAaQhok8qE5uePS1PDl5nHkAQzFhgBRoA7MsNCsQRyUxPJP2Oxyf51As6f\n4jPpMfx/XdwHL+A5+c4UGQn54EVLC+R8fD4i3Zv/V+C8SMx3qA4HB2OM3xP5/2rGB6u3pGP2LCwU\nD9NlbB78q5Zk43ZwmNAF0X9pbv//3s9kFmN6X5pbDjAgl2g3/sPv9X817CwzI8AI/GsCZXrlLI9s\nGR0+EIjbzzntogrk83E0BohNBUjICpJPYsAAcmUUOkfulzDngujEpnU4dj8V74ybYKJbS0TdL48h\nvRpIshb7Kkg4iTFrc7DOp79wGV+XDHbOJr+cs178Kj0tWGwh/zIB14+rAYcQEP5YWFK1xj0wepiz\nki7I4z0/YlhKX4S4i+x0SaqND96HDUeukp5MBXQYPR61oy5Cr+8oNJV6EJCkVPeahk2u3mi2aY3Q\nICpnfy3cux/+nHAQc5QcT6sr48PF8/jkt3HIYYS6k70omcDNlTO3UlCpki4KsrPBmXEtV84ItW0b\no0FN7pjDpw3Pwo5jz7GLePVWgPdVrDBkxHdoQeZcZIO6MctLCMeGrYfw6FUOTFsPwjDr17hR0RGD\nbF7Bs0svNCO3OzPpRGVJguJc5vIK4k7BycUXZ1+Gos0nmNv//fdzJfTyD0QvMlO71mEqnd1mgRFg\nBBgB1QTK6MpZAW7t8YBJg2Wo1G0clvj4wHt6H5zuYg9XudWSNKxu4IUp/8ibLeDshc03tsG1uv3g\n4++PFW7W5DOuI7a9lhifVA1bPjYbB3+aiMORqdLVqPcmbbE5uAmcfggQntqST//h797GBpFzYgvs\ngz1mL/GB75I5aBj5Peq188MzmZVCQUIQmq6th5PuQmdI4oaQH0LfAWh8hIepvn5Y5euOd2u7o9uU\nbJhrLJgBzwN94HE0VqZzhhiyaQeedp2GMBljtTIJlC65U5UfNigLJtqVq8Pw+RG4uLjgJrmbr2dW\nDVqvb2CsTW2NVtj4RXh+KEnbefxEbHati4Ybn2HA9AXwIQf2U9q+RSeb6giUcc6ueszIIXXETpjY\nrYMtGf/09/fFt/rBaNJlGLSNKyMn5gICteZjuIoTdEW3UXkuc+kfXNgDzPtFaILk487tz+39rIPy\nxvK2DIvmy54yAoxAWSNQJoWziPVD0HFyHq6R7apvbM2EJ7DK1WyBVaErcHTST1KhIOOMPxZNWoJe\nCu5aYvZ6wt8jAAt6NRaueFUkw5ULPFzg0krZUKm6CZUe8gfGHU1Teqxn/x3W3Z1GRkm51byiA5+z\nW1XK8DbqCKq3/A7fnn2ANYPaCBWXORMXvXzOYcLdZfC/8lJcMh9///QDPNeNkHNjlB97GD2W2yHa\nfyhqkRkLbb0aGDDFE43nqPZLqKqZnI9EL7ct9OgKwh5KrNXTigsZili40xxdNlxTlU0p7q7fBKyK\nEFtFV3r6YSK0Sbnbug6ZPNByh2uv1mhk3wqdB03D7jX9cWBKsHDrTl1NBeSwvItazw/qcinHc06t\nl5o2w8wGG/Fq0zhYGgkNiaBux6k4O68V3Ob9LRb0VY8Z5wlgRYeZWH1rPbpYcBpRemjQdwjG2c5A\nMzr9dzdoH0YcGqriZKpyW2RjVM/lNATNSMKOsYUrkCWZ27LlF3f9pbyfi+sne84IMAJlh0CZE87e\nRu1Hh9mnsTrMFw0VbFdVrO9ITsyvIvIpJyjwcWFLBDZPKfxyEU2LbFw/fJ0u5fVy9Cwd0aY4Vz/i\necUruAevpbR9F7oRuHQE9+V0Tyqh368zsTXgjji16hfOkOSY7n8UKRSozkkGdPEEyxwmAN6nMENp\n67Aq2jjpY8MtkddhziXRpuNuGGcvtlAvLvRdDglDgrd4K7PCVpBfDoOcLNRVqxR/fsk6dDgbhGEk\nHivqstX82hUdFh1DolIu5QjOhVW6xDmo8mO5GF5BFrnOisXTVMUa5ZKpuCnA7X/2AxMdZewvZePK\n4XPkprK81IGViowoyCkUPFU9l43jDCMnJKTKrZxK/K1e9xsLH61JiF74tZJJBx7/OUDumLheqRsz\nrawXQmfkvLeyQr0O7EY4U5+e4K+/WmBaV/WGTWXbKblWN5cFCaE4PvhHuMj9sNFsbkvK1uT1S3k/\na9JXloYRYATKDoEyJpxl4x/auoOTHwarMCYp8pP5TugDjkc6MieOFaC22A1L4ZSoRLppnQG/fjBw\nGIqFa7aQ8cg3sBs2UepEujCt6qvrfstRe8VEWOnmkaRkIPR3KJuyvGEtRAbeICv36kPc4T+QPq6b\nkm6Y+hyFT+ID18Ifljg8vE1hpPQqGy9fkeDJeVihkPMwFBcH2SvVo12RhDXBH2hh3BZjPH0QEBwD\nnVYj4a6hfSJuNWkhBsOVVhtN6FzKi1T5QwACvfro2fAm7qWXZKtY1GZ1f19H7Kdt3K4IuP8Qh0Za\n0hb2TUpagPBjV4pkzZXHzYfgba8wyKGu0DhtdupjBHhNxOTLfXFyxyi5VUWl+pV3SZWScBF390xB\ntTrWsLW1gNOaq8I02qTz+MPvN4S+X92X3sCgHSNkhMPCYgzMyWE7acJxVakbM4GeMZqSWOfuUA9f\nj5+NtXtOI5FfF2MmdSIvC4Czz/ewLixSoyt1c7kg3wSec7opCZGazG2NKhYm+nLez5r3maVkBBiB\nskCgTAlnPP4j/HM0HYMmdFL5ZZqdzK3TOMK+bmVyz5RJqzZ2MFOhP2Uzwg+Ba36Gi/F5rF4wA91t\na+GvBBK0NAicLpBv0iB42FaEFul7gSzMP06R15kqV8cKfeiLVn5trrDwuGNL0XRKLWwc06QwUuOr\nAiRGhAN2w9FCblVDVIBWVjxORuVghJX4SDs1wtZW2VK5rvUQRJ7YhqlDquHQumUY6ULbanL6ekU1\nKA0bfrqBNUs6UaKqaOJUCevvJitk0CH32hG49EBeaFNIpPGtIC4IdTtMwCw6sPBDr174ccduHJ28\nDTHJN7A/Mk/lfJAt/H3yXRJo81Al6QrWLfWCq0UzjFxVAw8zfoODSfHSF0/taIpq4UdsQru1FuS3\nNANZSTfRdUEfHKDVvfCdJ+EypDWyX8QhEg0xomN92WaJr/mIDr0EVBFL1GrGTKBTDz/HnMQvHmOQ\ndWAD5kwaiIadltOaGU1DvXroprJsFdWJo4qay7oWbWnrVPmgRHFzW31tyk++lPezcs9YDCPACJR1\nAmXutGYGaTQ5W6qyPp2BoBX+QO8laMwJZLTzo9++LokO8iEtIRkVzWui05hZwv95yeGYa9Md/9x8\nin7mlvKJle44xekfcOpJZ0yffga8nBRhisQ02owyLzxpxxNuFYq/aBXKCFszAl0W/EWxjeDtGoJn\nmepXltIvpWFs6CmMkVPwzsa9EzHACNW6YU/O7sMFOOCwvcjB9dMb5xGFtnKt4MwiPC6oDst2A7GM\n/i9fT+yW9ofrWtK9GtZYaZVNLjPdpB5bg7mXtmO0B0/IYOul12g/sJxiMhJPBahuqDxFr6yZhJ4H\n4uEkVqq+dIkEE9sUhIvvlftNOljzfgA8/qIxEtUj0K+KbwQ3sN1HC62n/6JUt2LE88hgob6Z+6Sx\nwpWr6bNd4WLaAafivDDcQt7XYn7sETi3XAEjJ9Hs0Xp1FXei8tH7ouhABXdfY+oFbCJWkvAsqRKt\n1I4Tuol6T6ua3hF/Yv3JfQhAD/xcUwtJ1x/Q8l1dVFLGQatqN/DLgVSMONJdKGTGqhgzIANxcXmw\nsGiB7xdy/9cgKWQjGvQIQBJtq9dT8SNE0jbVr5rNZcW86uY2r+AhlvQdib9BbocUM9G98piKEn3u\n72cVXWVRjAAjwAgo7Tp84Uh0aTWGBC9xeBF1A88M6qO5eRWkB2/G5Evp2Bk1VLqKknU5ng69Q3pP\nZwux1/sIhm2aIjwIwBVTrqYt7G0rINbMWFyq+pf0YH9s7xaITPGKF6c3lnbguFIGzpwEt0WlKrRy\n34m7dn6w+zYDc/d5o56qREXGVYJVR1rReCk6cJCb+gA3Hr9Hm1Y25PfuDua5bUbv9RfRTbyqVseh\nE2wvyK/hPTqyHVE9Z5MIIQrcQYIW9i2A+2ZSLuqawOPfxLQlRniYmSlVPB/ffCAcDt/FmzHNZVhz\nO6s8xGfIKLWJC3V0X49M98IaotaMxAHH1fBupW4M3uHNk3x86yaz6qSjS3XFYG2FRci0UBYMC0vn\nrgoQdTKQ9M1+k24p5j19iAt4j34qTmHqWg/AlcwB0iI4x9adLrTAUXd5IVeagC7q9/oOMq2DVp1q\n8LTvh+URz4Vv0mqW3GGTWPJLyuXKwO2QWJg0b0mHMd4haPEYRNotQEBX0YEUVWMmSDiHGQdNEDi7\nGleAMNRu0hKNwQn6JQ+azmXFktXNbYGOJeYdvYJ5ihmKvP/8389Fdo89ZAQYgTJLoExtawr0vsLA\nIcZYdOgG4mnV4LeIN3iydyNOh/2N3i7e8Dr7sHBlRc+AvojvClcVJLNDKz0e+/68iQQZEw/5sccw\nObo/hjbjTr+RkUnP4fA+dl+SRfqqlR6OyZ65cluRnF6VM21v7rmZKE3HXbxPikcQiSbqNsvqdPVA\n1KZXGLz+jlw+zW500LDrYGDVHkSS7S7fxcHQygjFhsAL2DikNwI99mOXzIoOV2ZUVJKMgjoftw9v\nQmis7Hbjc+xz24FFs7sKhTOt1HDM6D0NF5PlhTqOT8APi9Br9w9SwYwrn1Pox+tcpV8KuWTiw8mK\n4/rvQ250AWqZFZb18koA9qANLi7pjozk9CIr4NEG94ltaZjYs5k03bscEtt5PdHW2gApZw7jRjG6\ncVqqZW1peUoXBfnoYzcHg8SrcpVqNUZjwQncICfrp7x88Eg3A5t8d+PyQU8M3f41Lp2bKcdUfsyA\ntMgQnH+YIjOOQOSupYj0+BHt1KyaJQf/jkHTdykdyijJXFbsV3FzWzF9Ufdfyvu5qD6yZ4wAI1A2\nCZQp4YwzHdD/t7NYdn8UGvf4EeWr8JD1ejMGdj2N5THP8X3VZMSLT04KdGqjR68sxL2kLUdxyHxw\nA3cbZWNeJ1cs27ob29fMQNVWRxF0fxUa6XArcm/wOPgcVi45I6dg/vSYH/TrdEJQ1EnsCY4XlsbZ\nSvNzHYoZUW/wwH0C5gQWCnQZCfdgO9hBbhVJ0gbJax2XCbDcdbRUpzWrdV2A4NVGcLRxwkoSAjNe\nPMBct2/wasZ5vJnXlCz0Fx5FqGjpgI5/XpV+QfP4sQi8ZIb0DWMw2msdDu3xh5tBQ7zYH4KZ4hOd\nuZnJ2HJpOw7eSpI0F/lxJzGclOlHHLiAw7tOSU0+XFgzE6PdT5M2/Bb0Hb8K98SCr1bWXQTca46G\nRhzXfxsqYXDIOpztOB7r9mzF4ukT4J/YFJsml0MHp3bwuZ6qtoKnx36Da+/vsJF0xi6smAZ/8fhp\nG5BOHukL/rVnPeYcyIFFUe1UlFHV1lb4QOt1CgwHd5IKXO+N2uBE6DYc79AE366Kg17GS5z2m4pe\n4a3wJGM1KkZGS0+8Ko4ZV+qtk2Foh4NwcZ2NLQf3YImrOb69PwhPFnYurFThip/4BCe37cVTmdPE\nJZ3LCkVCk7mtmEf9/ZfzflbfR/aEEWAEyiKBMuv4PJtcMr3IzMGd5T2xwTkIp/q+xVDaclwW6oV6\n4pmQHrwAdY44ItP/a2HMu6x05OgbwYBzMRSXSFbxDVDf2lxhKy8N273OYuDCwUUKV+onWwbWGVrD\n4NZjJV0mxTz8LD709PUUozW+5/oTn/QKWjm3MHjyEwSFfI+Q8d8hbdZ+jJWeZuUj0LUhwmeGC7cN\nOVMUL7PKoxoJI8/j4sCpy5nWtUI1hdUX7eTzWBdrje871tK4PbIJE/aMxsDMqbg+ibZLiwkRtK15\nzvk3qXCoPjkf6alZ0DMyAZlmo8DdF8DIRF+aRSv9GuZvJysj7m2kceou3mU9x/2HaahmZwtTYXmq\nU3InUwcGWdOWovptTcWcCQfnY4vpNCzqqKgfyUdyQhLe5r/CNvseaBGTAMeo1fjmbmfyaiApX37M\nuLJTaXXQpKYRONdFT19k0GGUOqivgWeDu1t/QfKAH9GtKOFTsfFq7zWf22qLUPPg83o/Z2Bz70mw\nPLAHzgrvGzXdY9GMACPwmRJgjs9LOHCVTGrDgjSPKw8ZixED2kB/EqkU/fNQKphxxRl1nA6fb1wQ\n4NkN/UkpW5sEM9LWIr0fQ1hYG6qsMfnMH7hi2R+jVD4tPpIfthueozbjlYKSuaqc/0Yw48rj+mNh\nbUQnU7NQ4+5YWBp4AUO245VUMONS6eGbFb/BbchezAqZiso6+iSYcfFADQtr1BBdKvzNxmGfLTD1\n3KYQr9ktpxy+bLIWNr1orlEGe/cdtAGqSdAjQUxWmOXuNcmnOg1nmNbWXjUB2Rw6tiMQaCsbU9x1\nAe6HP0HT6YXbsIU59FDTnE75ojpsnCpihE114fbquWdzCpMojhk94QQzLpSneW9F/zUJWlk34X+6\nInzHfIjVSxKFSzC3NWmfbJov4f0s2x92zQgwAmWbQBG/98sGGFPnMfhzjTESarTBaKVViqqY+mgp\nelkugl2qN6yKpcVHUl5H+A5rWCp4WqmXMahrPHkumKykf1WqAjXMJNBrhBVHNuP8Ax10Hd1XqW6e\neR9EzfgRPX3P4cLszkrPFavhFbxBreHL0Iqszpc8ZGCn22hYBQd+Mv+iJW/jx86RjdQqPdClSH6V\nMOC3P5F/8hZqdhmqZGOvpGOmqkf8N3qYtmpCsadvVeVVjPtUc5u9nxXJs3tGgBH4HAmU2W3NkgzW\nO7LankmrJFWKFc5KUqpyWq6e53rV6QTeh1mpUK7h38VwZkQMyYzIx8TAoy3jh8laqG/OrVF++sBt\na87bp4vFkzRbtfv0LSxZjZ9izDRp0X9pbv//38987Oo9BuZsW1OTqcPSMAKfNQG2rfkRh0/biASz\nj1i+pGiuntJpaElK+LivVUkw+9iB2zKub/6xaymifJI8IzzXYrdJZxhadYOLvaLOVxF5/4OPPsWY\nadLt/9Lc/v+9n/mIPBaE+9mp2EBme4q3rqcJWZaGEWAEvkQCZey05n97CHMSbuNanKyJiv92e4tv\nXTZuB4eV6kRp8WV/nBQCvQbwPTMW9U1rw7Tif3MF8+P0nJX68QnowNisFkxNm2D1xQ1ozQ4DfHzk\nrAZG4DMl8DF3qP7zSOKD92HDkat06rICOowej9rk2kev7yg0/YgfmnkJ4diw9RAevcqBaetBGGb9\nGjcqOuJbsnd2+qd+cOtwCJkanFBUBzd26zycbe6BSfbG6pJ8lHhBwkmMWZuDdT79padXBXGn4OTi\ni7MvQ2H8H92qVYTBrdw1atVOMZrdMwIfgIAOatk7/KdXxz9AJ1kRjAAj8AEIlNGVswKE+A5A4yM8\nTPX1wypfd7xb2x3dpmTD/CMKZm8idsLEbh1s3X6Cv78vvtUPRpMuw6BtzPnyjMWWo9Xxj2vpdZ04\npevR7r/jYtSzDzA1SlIE58pnIg5HpkptbXG5H1zYA8z7Ba0+E8GsJD1maRkBRoARYAQYgY9FoEyu\nnOXHHkaP5XaITh8q/hVbAwOmeMLfsmi/kPwsspGlX2gTq2SD8gwrOszE6ogkcggtchfUoO8QjLPN\nQzM6lfcm5AwuTPbC36W2J1UgcuND/igNczWxespHVpYO9PX//RRID/kD446SxXyR60gxljQEzUjC\njkftS4aJpWYEGAFGgBFgBMo4gTK5cvYuJ5OMlb3FWxm3jQX55TDIibMfpTpwfjDHdP+j1PpTWlkv\ncJuc5/Dekkd1adCB3QhnchNVgNADwVg7pZP0CefPkS/TPpkHKi+zwv7A3gZ/YP/kmghLyVaZRjYy\nO3gVum2+LRtVqmtewT14LQXCQzcCl47gvsTDQkIojg/+ES5iH51c4Xw+v1R1sEyMACPACDACjEBZ\nIlAmhTPtigYknP2BFsZtMcbTBwHBMdBpNRLu7dSfzIs7/AfSx3Urtc0ngZ4xmpIRCneHevh6/Gys\n3XMaify6GDOpE8XmQv/rn6R+PbkJGLt1KExNFkjdJhU9KZ/BZ1oMFlBZDRu3Q27g7WKEyAxs9/wd\nMwY2LrpYDZ5e91uO2ismwko3j4yhGkBXvBBXkG8CzzndpGY38mMPkCK0KdZFkWDMAiPACDACjAAj\nwAioJVAmhTNd6yGIPLENU4dUw6F1yzDSpRXc9kSqhRR3bCmaTqkl57RcbWI1DwQ69fBzzEn84jEG\nWQc2YM6kgWjYaTmeCNNXgkMvRzl3T9Uau8J9eXtUVVOebHTs1qXQ9lsEa4rMzyW/mFXUO03nFaTh\nz/HNsXPEEQw2F22vypZVkmtBQhB8kwbBgw4zaBnTqiP5mnycIlod07VoS9u3hbbKytMJtV88vNG6\nVmFcSepiaRkBRoARYAQYgbJC4N8rHH1mpN6lJ+JxQXVYthuIZfR/+foMBC3tD9e1wXg1TFnnLGzN\nCHRZ8Bf1shG8XUPwLFOgtsfpl9IwNvQUxtjSypxcyEBcXB4sLFrg+4Xc/zVICtmIBj0CkETbgPVU\nHEKo0mog+bKUK0TlDWc0dbT7HlQarYvpB97i8bYztIJVk1blBGiooIjPK3iCpcat4EMrdUjajO+C\nFiNDZalc5Gu8RDfsDfRS4xmBOwTwA0496Yzp08+Al5MiLCmRc7ZpXkGp1PdGDanfpfOcoFQYi2AE\nGAFGgBFgBL5gAmVOOHt0ZDuies6GpXhQOdMJLezJufZ9M6kJCNnxbuW+E3ft/GD3bQbm7vNGPdmH\nGl4LEs5hxkETcnxdTZqjdpOWaAxO6Ps3oQBHZy3D9KgU6SrY2wntUd1hH16r0FfjVu/mZj6EvWc/\nLK4xDnuljrJL3ob0YH9sJ0fxmWOaCDNzOnlpB46XvCCWgxFgBBgBRoARYATkCJSxbU0+bh/ehNBY\nWUOvz7HPbQcWze6qUjjjaNXp6oGoTa8weP0dOXia3qRFhuD8wxRS8S8MkbuWItLjR7RTsWrGpUoO\n/h0DvAKK1B1LPrMCa5svkApmXD5dkO4XrXqpD4bo5ROEcQcGYlcCl7bkQSs9HJM9c+W2eQV69eFM\n25t7biaqLFArNRwzes9GaKomJ0lVFsEiGQFGgBFgBBiBMkGgTAlnnC2xwEtmSN8wBqO91uHQHn+4\nGTTEi/0hmGmvuBUpP/51XCbActfRIoUl+RyFd7dOhqEdDsLFdTa2HNyDJa7m+Pb+IDxZ2LkwkcIV\n/+U9nPEbiTvi04+yj3kFidg0/hvYDPDBxaC/cY+2MLnwMmQHRo7bSlfR6NHNFQdj1SnfV8IQv6lY\nd1i9np2wQBV/nh7zg36dTgiKOok9wfHCFDz+Q/i5DsWMqDd44D4BcwLvK+XMzUzGlkvrcfwx6cSx\nwAgwAowAI8AIMAJqCZQpx+e8giy8zCqPamRL7HlcHDj1KNO6VqimZvVKkRo/i092zvQUo4u9T01O\nh0lNI+SmJuLpiwxSnq+D+jWLV4y/ssYf+hOnoamC7lixFWqUgEx1kO6+nt6n29nmkxHeDTk9ijwV\nq1HTWSJGgBFgBBgBRuAzIMAcn2swSAIdfRLMRAlrWFijhgZ5ZJOURjDj8nOCGRfKm9SGFf3XJGil\nX8bWqOr4/aMIZlwLdEgw06QlHypNNv5eexOtV7t9qAJZOYwAI8AIMAKMwBdJoExta35OI5j1pjKm\nLx+oVg/uc+oL11YePwWmE2aq1bH73PrD2ssIMAKMACPACHwsAp9uT+tj9eALLbeieVOIzkF+GR0U\n6NWDswamQb6M3rJeMAKMACPACDACpSfAVs5Kz47lZAQYAUaAEWAEGAFG4IMTYMLZB0fKCmQEGAFG\ngBFgBBgBRqD0BMrstmZaQgK0apqTr8znOBtwDo/zDNFjSG/UKoYI5/7oxKZ1OHY/Fe+Mm2CiW0tE\n3S+PIb0aKI3Cu/TneAEjmBl9Us17pXYUFSHhUKWYfqsrg1dQMn7qymHxjAAjwAgwAowAIyAiUCZW\nznhZiYhMKLSvxePfxFe2thgS8AACncowq5KFGZMWI15sL0zd5ODsec03tsG1uv3g4++PFW7WmGvf\nEdteq3LpxMeRni3RoN5aFNasrmT5+GdhF/GgmLbI5yjdnSyH0pVA7jRLwK+0dbB8jAAjwAgwAoxA\nWSJQyvWSzwvR23vHcTSnLxqbi2yLCfRscHn/fuS35sxaVEBDZyc484p3pRSz1xP+HgHI7NVYBMDC\nCQs8XHCtVV0VQPTQZfNe7MmpJ+fQXEVCpaikcyeQbuUEq4+84CbPQakZGkZU0pifhgWyZIwAI8AI\nMAKMQJkm8HmsnBXwkZ6aimQy5sqFd1npSEtOxmsyoiq856cjNTkVZFMWecmPEROXLLzmnvH4idi9\nagn4FMPnZ4FPPpQKaFWqTrt2sNHX5ZJQhCYuhbJx/fB1SiyfVs/SEW3MlB19cwZvtWo1gVNDU2EV\n3J/s5AcICwlDDG2pPkpQ7WLpbdxJuC+NAO8ttTUrS+ryidtOjQ4Lw63YJHFcgZBJUupb8Ao4x+oJ\neFNAcekcp1RKU4DnsbFUD3dNHChNbGwcUrK4O1GQ56Aib7JiG/l4HBGG61GPpHyFJWnET1Ire2UE\nGAFGgBFgBBiBogh8FsJZXnIo5pDRWJuGu4VbhK/C/8RXNjb4elu4sG8vL2+BhY0F+k6fjfk7z+Hu\nSW9UN1qAJyTUXd62HjOPvkbo7nVYscgPJ5++QcrlbahTpw7MNtwuio3Cs0poPbAz4NcPBg5DsXDN\nFlylrVK7YRPRUoWHAV56DFb2tEGd2puFLp+Sjy1Fa59g6JhUxO2VndBsb4xC+ZwA9RwH/acgEpex\nz98PC5fsFG5v5iWch4txb5zJyMOTrd/BePoR4pCKU4sHooFFdVTu2xP29raotekiTvqMhQ2x6D1+\nJvbcjsbxn5qjm9dqeHssx+17wRhrZkLGbUVuneQ5ZCjnndkUDmuuitv5DD8a1MKa+DzkXFyJ6oaz\npG6jlDrCIhgBRoARYAQYAUag1AQ+i23NcuadsP7GCuxpzReuW1XrOAF3fE+hSa6o3zXJMfkd35No\ncrQZTvkPJSGnHXbMHo0kvhccJ3lh3c4deOG+EB7kmFsYLH6g9MHS/JrSsxnhh0DYYvPhlVi94Bj9\nn4GdUanoZ15OqYj3Ji2wZMcv+LV1JjkjBxIi96NC0+1oZm2L5n7/4OEmZb+XAp0aGOn/Dw5t98DE\nJQvRSodHOdOwxc4V5XfdwLSutA3b9TBuGtjgjGcyhvhvwe5tLWE4LwhbTaJwLt8OPWz8ELSuFQyH\nzINH1+pA00zMbTkVC5My4ExCZFPfo2gZFI0xtm1Rs6ssh6oYukQxbyrmtr6CV+5tYZL1AqG0Bje9\ntQOca7bAas962Bc5B96tjJX6ziIYAUaAEWAEGAFGoPQEPgvhjOseP0ekdC/eiESeQp+zOc2u3lai\nWG6bjScRGnKRCwFy87k9ULFwRlfZFFeSkJaQjIrmNdFpzCzh/7zkcMy16Y5/bj4l4cxSZVH8HLH0\nSE/rdP4RsV06wcCdbpwmIuC3n1XmAV+0bSpsrj6glfUMFwS5tKrlizWPa4OXm4vbJCTVfEWbuFVy\nIOB9jWnNq0BXzwlfcyXyE5ABG4ywF22nCtugtQwtxKt7+Vy/y0soKnAoyFHIyzEqLxQu3+s3x5GL\nR/DXznmY9joH4YK3GKj72Uwf1axZLCPACDACjAAj8B8k8Flsa3LcBLrcKlJhEAoZhbeiq0JZSPEJ\n3euR/tk9bD4YqeJZcVHPsdf7iJyeVbmatrC3rYBaZhIhsOgycnSb4v7TOFw9GwQ/y2voP3x/kac4\nBST35Mdexe1skRC5aPNSuLvPxvTZC/B3Zjom2BgIK+RRKfmFamSiRpBgWqm0hwnU5M2PPQKrDv2B\nthPxKwmK7raVSY+P/pEzeBYYAUaAEWAEGAFG4MMR+GyEM16+SPISrdVkIHD2RcCgcAVIlxN1JCtC\nOhQveCVeXdOGmV0FPEii5zpvcf9ZtpCeLkjYk01PseoWgrTS47Hvz5tIkDFvkR97DJOj+2Nosypq\nR0Ovokig5NqccvIPBLw0QKNWHTDB/3d0iE5ROFogKoZHSv1p1HbyS47sp4/xSrsRRo6uhkWHbkjr\niVgzEr/epW1Rrp8U5Not7rsksWwbhGm5fssEJQ5c3eIgycvdxp5dT8t4nhjRsS7dpeFa1Fs65/oS\n54/fUd0OcRnshRFgBBgBRoARYARKRkB7EYWisoSEhODBgwdwdnaGmZlZUUk/6jNdI1OUC/XGgRQB\nHv11ABfDbuLJiS3IbNQf1jF/wH7yASA5Fu8NjRC3Zx3Wh5FS/Yl0OPbuipb1dDGh3y948SQWDuNG\noXLor7CfuBU4EwPrPnY4NnMudsReQkg0Dx36tEc1oa5XYXfeRAZi9o2HeLTjMJ5o8fEoeBs6fXcX\nQfd/Q0tD7cKEMlecEv/kH1bhbvw+JBk5waH8NbgOOYjydfJw9jd/mM2fjh5WJjI5RJeCclVgmfcn\nem+6iZhb79D3u45o3cUF1bb0w4hLAlS88yf2vRsA734G2DZpBjbeTcX1q3dg7tAJVpVfYCMXFxWG\n3ff10NUyHX4//Yqb1IaHFRqjftZJjB+/GS/PX0d+U2d89WCblINVv5a4Mn+2yrwRWo0x6hsnPFy/\nETcq5OHqX6dh2MEC3hNmoGa/fri1dEmR/JQ6ySIYAUaAEWAEGIEyQCCZLEsEBwfDysoKjo6OGveY\nJ6BQVOqVK1fi6NGjWLhwIVq0aFFU0k/wjDMfkQKBXg1U0X+HLLKLoaenxy0yFRvekbmNzAJ9yqdJ\navniONMdOfpGMCBzFI/iEpEDA9S3NqeVI81DAbVVh7Ya01PTIdA3QZVith2z0rl0Rqgs09xcMpOR\nCX1U+795HChANrU/T9x+vpC/TAM1x8FSMgKMACPACDACXzyB8PBweHl5oVevXpg1a5bG/f3Mvll1\nYGRSU9w5Hejrad58bT0jqN+ALJqXNickURKBjiEsrA2LTqzmqY64rUYmyqtlqrLoGxkpRZc3MkE1\npdhPGaGDStT+SuIq9UrA/1O2ktXFCDACjAAjwAh8zgQ+G52zzxkyazsjwAgwAowAI8AIMAKaEmDC\nmaakWDpGgBFgBBgBRoARYAQ+AQEmnH0CyKwKRoARYAQYAUaAEWAENCXAhDNNSbF0jAAjwAgwAowA\nI8AIfAICTDj7BJBZFYwAI8AIMAKMACPACGhKgAlnmpJi6RgBRoARYAQYAUaAEfgEBIoVzrS1RUZW\n37179wmaw6pgBBgBRoARYAQYAUbgyyAgkZ10dDQ3/cX1vFjhTOIV4O7du18GKdYLRoARYAQYAUaA\nEWAEPgGBqKgoYS0SWUrTKosVzrp37w5O4jt9+jSSkpI0LZelYwQYAUaAEWAEGAFGoMwS4GSmU6dO\nCWUoTpYqSShWOKtSpQoGDhyI7OxszJ07F2fPnkVeXl5J6mBpGQFGgBFgBBgBRoARKBMEOBnp3Llz\nQpmJk504GYqTpUoSivWtyRX2/v17+Pv74++//5aWraVVrFwnTcsuGAFGgBFgBBgBRoARKAsEOJlJ\nEr755htMnz4dJZWZNBLOuEo4/+ic3llAQADu3buH3NxcSd3slRFgBBgBRoARYAQYAUaACJQvXx4N\nGzZE//79YWdnBx6PV2IuGgtnJS6ZZWAEGAFGgBFgBBgBRoARKDEBtjdZYmQsAyPACDACjAAjwAgw\nAh+PABPOPh5bVjIjwAgwAowAI8AIMAIlJsCEsxIjYxkYAUaAEWAEGAFGgBH4eASYcPbx2LKSGQFG\ngBFgBBgBRoARKDEBJpyVGBnLwAgwAowAI8AIMAKMwMcjwISzj8eWlcwIMAKMACPACDACjECJCfwP\nh5v6by/EOQIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/sarsa.png')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 6.5 Q-learning: Off-policy TD Control\n", "\n", "\n", "$Q(S_t, A_t) \\gets Q(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma \\color{blue}{\\max_a Q(S_{t+1}, a)} - Q(S_t,, A_t) \\right ]$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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BgsqF/oGBgbxCVhAUeVoeAR4BHgEeAR4BHgEeASkCr169AtOlChpUKmW+vr4F5cPT8wjw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O86+bjQ1eeK8SKMIWEIyccxO1cGm4790Wr6PiQrL/BPToATKEbgnVfKROToO3zvA9Tp+rHOX7l1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\n5kayLDo55/HjRrZbiE8HWZymg5L8DNy4n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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/q_learn_off_policy.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.6 Expected Sarsa\n", "\n", "use expeteced value, how likely each action is under the current policy.\n", "\n", "\n", "\\begin{align}\n", " Q(S_t, A_t) & \\gets Q(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma \\color{blue}{\\mathbb{E}[Q(S_{t+1}, A_{t+1}) \\mid S_{t+1}]} - Q(S_t,, A_t) \\right ] \\\\\n", " & \\gets Q(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma \\color{blue}{\\sum_a \\pi(a \\mid S_{t+1}) Q(S_{t+1}, a)} - Q(S_t,, A_t) \\right ]\n", "\\end{align}\n", "\n", "+ con: additional computational cost.\n", "+ pro: eliminate the variance due to the random seleciton of $A_{t+1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.7 Maximization Bias and Double Learning\n", "\n", "maximization bias:\n", "+ a maximum over estimated values => an estimate of the maximum value => significant positive bias.\n", "\n", "root of problem: using the same samples (plays) both to determine the maximizing action and to estimate its value. => divide the plays in two sets ($Q_1, Q_2$) and use them to learn two indepedent estimates. (*double learning*)\n", "\n", "\n", "$Q_1(S_t, A_t) \\gets Q_1(S_t, A_t) + \\alpha \\left [ R_{t+1} + \\gamma Q_2 \\left( S_{t+1}, \\operatorname{argmax}_a Q_1(S_{t+1}, a) \\right) - Q_1(S_t,, A_t) \\right ]$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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eObKJR5USp5GUAkYFMyCr0KklU3E6V4+W+OdCWMYOZinhImEU/uvGPsYLsuLV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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/double_learn.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.8 Games, Afterstates, and Other Special Cases" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }