{ "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", "sns.set(color_codes=True)\n", "#sns.set(font='SimHei', font_scale=2.5)\n", "#plt.rcParams['axes.grid'] = False\n", "\n", "import numpy as np\n", "\n", "import pandas as pd\n", "#pd.options.display.max_rows = 20\n", "\n", "#import sklearn\n", "\n", "#import itertools\n", "\n", "#import logging\n", "#logging.basicConfig()\n", "#logger = logging.getLogger()\n", "#logger.setLevel(logging.DEBUG)\n", "\n", "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 5 Monte Carlo Methods\n", "================\n", "\n", "Monte Carlo methods require only *experience*: sample sequences of states, actions, and rewards from actual or simulated interaction with an environment.\n", "\n", "requirements: averaging sample returns => we define Monte Carlo methods only for episodic tasks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.1 Monte Carlo Prediction\n", "\n", "the value of a state: expected return starting from that state.\n", "\n", "An obvious way to estimate it from experience: simply to average the returns observed after visits to that state.\n", "\n", "$s$ may be visited multiple times in the same episode:\n", "+ first-visit MC method\n", "+ every-visit MC method" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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nZ2SGhaHcmKno5XAJu5U8w6lX1mNSehX47TBEyAppHRKSUhH/Mk6hm50wAowA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zjNt4fn3SRqVx8ZKS/wFVl+pLqN8FnfxoVoiVMey/J+WuiNq8YCZIsTgOaGtBNLH66x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\n7KrkjM06hTgYdpSOVtOxJPCFOG1O1IIn+C6wPI0h5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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/first_visit_mc.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Monte Carlo methods do not *bootstrap*: the estimate for one state does not build upon the estimate of any other state.\n", "\n", "The computational expense of estimating the value of a single state is independent of the number of states. \n", "=> One can generate many sample episodes starting from the states of interest, averaging returns from only these states, ignoring all others." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.2 Monte Carlo Estimation of Action Values\n", "\n", "If a model is not available, useful to estimate *action* values $q_\\pi(s, a)$ rather than *state* values.\n", "\n", "maintain exploration problem: many state-action pairs may never be visited.\n", "+ exploring starts: every pair has a nonzero probability of being selected as start point.\n", "+ make policy stochasic with a nonzero probability of selecting all actions in each state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.3 Monte Carlo Control\n", "\n", "$\\pi(s) \\doteq \\operatorname{arg max}_a q(s, a)$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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UXTATKb1+sssxfPvttyX2MGroAtTfiuHAs88+i5iYGMybN08SsG7dOrsQUmoA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\nIKsFF3k0VR53wYmJlsp2Uag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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/gpi.png')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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HS9fW/7Vq/6vqq1+9FX5rbPuvqhOrDCPACDACPyKB8PDwfKml8e3LzMzMfAlSl1i3cV/4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clOxm53Ox6X7zZJ5feqjyt/v+zMQ54v1X8V0azfj8jMTIRXy1xMtzZHl0mrcD1RWfVULcHunkRd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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/monte_carlo_es.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.4 Monte Carlo Control without Exploring Starts\n", "\n", "ensure that all actions are selected infinitely often is for the agent to continue to select them:\n", "+ on-policy: evaluate or imporve the policy that is used to make decisions.\n", "+ off-policy: evaluate or improve a policy different from that used to generate the data.\n", "\n", "policy is *soft*, meaning that $\\pi(a \\mid s) > 0$ for all $s \\in \\mathcal{S}$ and all $a \\in \\mathcal{A}(s)$, but gradually shifted closer and closer to a deterministic optimal policy.\n", "\n", "$\\epsilon$-soft policies: $\\pi(a \\mid s) \\geq \\frac{\\epsilon}{|\\mathcal{A}(s)|}$ for all states and actions, for some $\\epsilon > 0$.\n", "+ $\\epsilon$-greedy policies: most of time greedy, sometimes random.\n", "+ For any $\\epsilon$-soft policy $\\pi$, any $\\epsilon$-greedy policy with respect to $q_\\pi$ is guaranteed to be better than or equal to $\\pi$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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aUL3tlMn44sJXqWRNL6DDqNdrCzZ6TkGHBt2xJ9wY/Rf+g0uXLtELvQmOLtug\nltSXpqMWAfP45Qh8YUufcz6yPhmgsLklBXqUIWCsSGawgB4Ib2Nkb+78A1X8CCcDyYjhm6T0IB2W\nH8WIykZKD3HAFjQfvR1WckNOLOIGArnGKgoBz97Tl3FFYFS0COyKlqXeLBquSv7IX+dlUmWPbpPi\nnF7qTnVIslTT2vx8rbSw27hIWhUMXEsPm7XKQAfWHaGHVX9YU89TTc9U9KlbBGeoxy0rp9BZMaz2\n2SCjhSqh4TOOXdpzX1xKPI9LTc7z0dl1rwnYO6M9zXlq70Zeohfw2vaGZ6UYrDIwo0aaetO5Bnjp\n8Q2oSgaOwj3YMAyjdj3CgXUnSeeevM5OpPNg0vmiis4K/bhwEYfOILRHRdg2G4AF9J8rr6CDt/go\nVeU4D4mlrGtKVy9jfnhhrX+EZHIdxpGAvhhU2Rzth1MebRsi/tQi/k3fUUM4WekBRgZFNFwlI5be\n/Jc2jsLI6XvVrmdVnt2Wd+TlJamyusnXpXCqS6ZFUL66HRCaiqzqqLb8ayvPbsv7ZpueWgY0enA1\nnO6jTNcU9Tg/1Yk0g8Y0NE51QfwU1+WG2ueC+fl7A8IisKc757P8Xgr2uY6nuzaiwa5MEaqcimAA\n62ZzcKkZ5/kYvRoMRUSi5jq3yidIY70tUUdWX7TxlhJvmcsHU9LvFdVqRZ1T3DtyAY0/Ctl/q21Q\n8OeUM7WxlLE2rYnd23fz+ppac/eJBRyubaR7rILGe4wXpD/pM/sUPln/ptjWgiN/7xdAi392ogGJ\ncz3tnCtRTgdXA6JQqWptjPaozfslhlzmf7XVYU3D4bL8ieF9+BwfVt4xjbDrsrjS2zXZHXvLcwl2\nFhqCeiP24NRkIYTy3iiOAtfeZ27DuEhNjWhkgJxdn7+xveEH6OnpojidS6iN8ddSr/gAmf6cWzYK\ny2iKSIfVw/Dq9AYUr/UHJM+5qQUf1KaJcEHDVk3A6ta9sHZ3AxROi4X/sfVYPLo71lF5VapYCA8C\npeg3iF7gA49lSOlL08kQmJ38kgTypAeMe2s7cy+KB2pRraHaWjYta9vy16QR/jikMtdKWwm8e/kM\nEdTN/fw5/afJuOFRZGWoOkVbTX5ShUlJyxdwb1ycE6SlC3xMlfnRo5q/ltWfN5Gyx5peEasMeeD2\neuKcMHQHDgWTLrq2mH5qNiwjzmLh7fS0soo78zVZM0XLMsjnKHxKzLgemwHCsXf1auy/6Iug59Qz\nYVAaHQd0yBBNWowU9Sd6oJutGC+fPUcEx4v+c+xiPsgMXWHoJhwMoURI5/mks0X0JczRonOhcoZ4\nvH8j/t59CncCwvBBIoRjxy5oSA9EbU5CrD+jBVavnkzzQrJ2ijxv2nSa71ks0XEORji+xwbPGxoD\ncvXqwkNZr0yJPzrSkIy6HpUa10XFEkU1hs+yPOXVQaWqKOvSl9iUmfOvrTwV1e9b0+PruK6Q+rK0\nOx3RO84upwpbhB9e5g51kkQaJ/fr5Zc99DgZTe4zaEmC1rrwGtkLf46cgNE9Jsl7XJM01jmt9fYL\neCte1xT6pNEcyPdNp+Toi1u+K1se8Hu2DQpduV8B9SZzLi3sPMYNd8dfi6ehb9semDDDExeKGGR7\njxlmaqr0K7bEWFqeo4Gl5uZbN+ad3CD/iBPzxmPstGmYPnkIldd0rD8RjvgXPnR/bsWFm/fxknrv\njexdMLA118Muc5nrsMJf/fcTRCpD39z1T/KXYVVZ7oVwAb0Q9mxYDcm+u9Gs+XBZjxoJZW4tFW1Y\nV64XmAwuzoUd9MSwSX9h2rTJ6NFjBOZs86FXgOzbQz4w/XlIxtdn1EHH8vlw9XgEihHzrJyoen8s\nGOsK3af+ePhaB03dluHi9jloaEnzQgNDYdd3FLrXKKMWRU7S4YbvJw/n31zUwjOPX4+A5js4Fzic\nmb4Wj8TU8JjWwppZXZQxVhrkiUHlud6sBOyetUzuTxOt5Uf6/G/6eX59AS57jkXv3v3Rvz/9790b\nQxZmHO6w+L0WH4obYupQuQgdf0SAbyBenr3GD28JHRool2ho38CWlw3xu8n/FuD/Alw6nFM9l5y9\njhecp+nvGN5U9oirPnYr9TylGxdr1smMByE9t65t3MxJZ+kK8oYhich/uZ4IzunJCUiKyjTI3JPk\nUL8NurQpgzWzp2B4/844EP0ZQiNONgnxcpsyxcAGzVyqo5R+DFaOHoDeHC/6z7Gbe/wJnw73Z/Wm\ns/zDl9P5+pZ/lP7cgUI/aX59FClfD626tQf2LMF4iq+71yOSkDWKqnJcuM/0CstdERYxp7kQFrAv\n78D3XHDXNLkCJF3YvBR/ietZPBkhe8zG++7nexu5C4qyULDi/M5NnsIPDcKgClZup2EElYeQC83X\nW1LXCMfWbeRE1VxW5fnq0UtevkztpvxvmmUHeV16g9OHOHbpdVJTHdWWf23l+TDH6ell+dWfgBu7\npjdzx0xD9Qp2XL3WTbwC/wjuUWeFJn2d+PyVb/o/vndXGnFP1rubqV7yQhr+iCs6ojCt3baRJpA/\nC/TD/Ug7TJg1AuVoKoGmOqet3uYk/wVlVU2Zf2l+WSuhT3XTwd4OFtk8SDn1/622QZX/yxMX8Zp0\n0bOvi+alYolbKAT0ockijwmoX6m+1nuM058zXiqWpBonkRlxnN+QKWPRulkHTJ4xgjtVc3x5P+fK\n2xg1m9gjKjQUT2J+w8SVszCoaQU0pvlXLQwCaUrGGPRqv4FvC/QNC2ZxDyvqfnpdzC83jhTtplRe\nf6T8BzNceyDvYaV2Lc1S3iMnfoxlnvspT2VgLe+dN9A3JD01tWEC+Pk94/NWhj5uMol8hlDKR72p\nCzFzSBNoq1dqMOQedoO6w1L8HCfJFOPaHkNz2fxdTfKVqldA7Om/MHD6AmI0BI0bjMdlVMJ0rwv8\nEOSGPna4uUd9viMXV1bpjFy9DrN6V0fl313gsXw5en/pVANNyjK/n5qA2mbcS5Ysgbe3d65k6pNR\nHcxaPAwu9hbUgIghph4U7qGf+PwW/vlrKk7SV2/c5PA5+7fxY/18onH3sO9REVo7rBTff6VLXwlq\nm4hv2X0pvAb+zgcT02fSugYG0BW/wqllc7DorMzgMK03DEvGd0IpgxR8EAthKBTj/sGVGLPqFJrM\n2oop8smk3Jwrb98UtKwpfxMUBVK6o3C/Yi94zeqJsiZ6/LIIBsIE7J86DGtuv1MyGr3/ItriCtq5\nztTYpa0QLExLc+wb6yI3YejN7OAhCNt2gK0u9xDVRZDXdhTq0psmH0so7/Rdo1wHbkHYbquP8oar\nRCziORroRsNrxihsJD3su8/F8oG1+AfVZ+I3zdUdNyhMVs5t+wV00r9JOk9V6swZsIe9hsgHgCW4\nd+4xqjSpQNFIIIoXQ2iii7DjK9Fvj1EGOX/PP+F+PBVDVq9A1/LF+GSjaIJx99nqjRT3QJl9eAPq\nmnBfwdETNp7Kt707bjadjPuTf8f6tp2xg2juOToSVmRc8LYlfamqE30dfbr9xfe2cHVmwKypaFfT\nEYYUhYTkdEkGVPb750/BmisRWrOeXLG31vL8Y+LfGNWsAn3tJYJEaABB/Avsme+ODbcL5KCOLoZL\npvx3XpGKHQfHaSxPTsGs0ptO90RD+ccVH2jIvQ0NuWtyOk1n4MJkF1ylJTmmy78KlS3KSvcPzwXw\nX03lc6AYZm6eApcyhWX12ECId8FnMdttAcJpbg1fL0meQCKYhqvdaLhak1OWn8FHREeJYGxtirDd\nMzB8veZey6zqbdb596L8C/i5kbpi2b34wLYLdiwbhLL8w5tbhqSP2pewCp3/zbbhaSvP9HZFfg+/\nqN6LvmLk2hFa5U0kgYHBJ/humIZV6ClvwzLeY4PlH2JwPTcbL1FP9dWVaC3/yKE1tVtj+XYrFEMa\nDNI4MZ9bV2vc6qloVd6CeqVEkFLb+N5/HwaOO4tp8ukJYlE8vVeY4HPEOYyluaOPaYAv8z3cbfZN\nqNZFccBOeCY2pPxZcs0C1Ze3OLE7CI261ZMbymLc2HYYZj26UbsmK434m//gAJqgbw0bWpZITMEk\nCKPlfqzLl6EwH3FgYDucq+6hsQ1rMHwRxnR0hqFERAOGBigkeoxV44dDOOaQ1vZQUQcUv1x7Mf+c\nF8pfWYJ2s0+i5RJvjHO4j3at09s+hey3/GaXjpBre1b241984q5uxp/Tdyjb3m9Jl4X9MQm0aNEC\n48ePz1K5PDXA0lM2hK1taejTi9y78If02W/WxkF6uKyPpJ0W4rJbdTxY3RcjD6TCyjIJkZEJGgMZ\nUa+MATXckZGRGq9n5/mZwpdQCe86ayNcjfzhOvos1lzaCAnpMOpAeHbRfPV1Q0taJIDyJtNDUz4N\nYWlp+NX506yYIb1Dc/MkZHF/JHaa6aaH/mxkBGsKk1tlnB6z5iNLS1sULapP8/xe0htydtqlx5G5\nPNOvgDjSw4UeDNrqkqps5uOvyf+3pMcZREtObUC12FNo0HtxZnU0nMvKUiSKQuJX34eGtCyHC+xp\n6Zj3tHTMqUB6kGtx2dfbL+dtSOWjk01d/DfbBi0oeG/1epf1PVZx+Ab62s8CW3u0xTb5Mi1cRAJa\nfNe7fSxa9F+RVXJ0Tb28jWi7Kq7suXonoHqQ+V79mjqcjRLyy5wu5pTmM7U0ZQIyXTW10VyZ0+Ip\nynsyJ/VKVSfVOsOVgYPBGzylpVly22WVjvs/22D5KgZWdvkRJTFE8LxB2BDKv2Lmthosvh+AwA9k\ngOU+DW4exIThA6h3rTBNWL+MGX/Nhm8e3FCaNFc+9IQx8AspCOcid7Pt/dIUD/NjBHKDQD6aD3V+\ncpMMvWC5Ee/PGse/2TbkJjOu92sb9X6ZqvR+cfFzw+N7aXmYhCx6KnNTDxZX7hHg5oAtGKqHvzJN\no8m9FFhMPwqBnBhgeTYHLK8hvKP3IcPkMFy9ehUByYVRt0KJvE5SGT83GXzVsl0IiqDvd5KvYIir\nR7Y9Q8rA7IARyGUCn87Ow6SDj1HXYxO6feN2VLms2r8S3b/ZNuRmhifvn4VSNDw4NNP6asUrFMeL\ng4u0DhPnpg4srtwlwC0WzYyv3GX6M8f2nYYgf2ZETHdGgBFgBBgBRoARYARyTuA/3QOWcwxMkhFg\nBBgBRoARYAQYgR+LwE87BPljYWTaMAKMACPACDACjAAjkHMCzADLOSsmyQgwAowAI8AIMAKMQK4Q\nYAZYrmBkkTACjAAjwAgwAowAI5BzAvKl8tQDdOrUCTY2NuoXmA8jwAgwAowAI8AIMAKMgBoBbvu/\n/fv3q/lr8tBqgDk6OqJq1aqawjA/RoARYAQYAUaAEWAEGIFMBPS5Fedz6NgQZA5BMTFGgBFgBBgB\nRoARYARyiwAzwHKLJIuHEWAEGAFGgBFgBBiBHBJgBlgOQTExRoARYAQYAUaAEWAEcosAM8ByiySL\nhxFgBBgBRoARYAQYgRwSYAZYDkExMUaAEWAEGAFGgBFgBHKLADPAcoski4cRYAQYAUaAEWAEGIEc\nEmAGWA5BMTFGgBFgBBgBRoARYARyiwAzwHKLJIuHEWAEGAFGgBFgBBiBHBL4LgaYTtw19B+1Fx8y\nKfU57gEOeG3GjpP3IMl07VtPP8VHIzJerDUaPu3Nm7H3/JNcT1trouxCrhMQSKJxcf8ubPLyxmuq\nRHlZp75EeYE4AWEhYVnWwS+Jj8kyAowAI8AI/LcIfBcD7MX1oziwZRnuxksz0MtnUgoWiT5w634R\niRmufOuJGIeaV0O50quVRp9A9AqBEekmYD6hGUxTfDCw04lcTvtbdf/+4TOz+f4afH2KUl1DWBYW\nYczQ2QgXS5F3dSrnOnIvHD3Mu+HkI39s6WGDSSdDcx6YSTICjAAjwAj8EgS+gwGWgHMLdhHMYBz0\neZYBqlTXGP+rV5f8CkAvw5VvPRGi0cZd8DrnCkN5VMmPTsE7LFkZsdSgOOrkSdrKJH6ag8xsfhrF\neUUL4TeXunARFOHPcrNORd44joshsV+IIxpLbTrA4tRODG/rir8OnkZw12rYGZb0hfEwcUaAEWAE\nGIH/MoE8N8CkEVfh3+Uf7Ha3wtb1l5Q9UgqoaYoD5a8EbyOe4lnUe0gkCQi4cQOh8Qqpj3h63w+3\ng54p4xFIRIiLi0KsSIKU+Fd8OM5Px6oS6v5mxscqEL/CTs85ECMZYrEIYvl4pySNeuTKFwBInhsu\n4uKQOQni4+MQFRVHw5MSRIeE4FkEdwwISKeQDLLyICo/IgobR2E5cy8h6jmehEXxxyoiSIgIhp/f\nfbwWpfcKiuLj8TYqCh8kYrwNo+ErkSLfFI8G+U/ieGU6qZROSFgE3vNZIJ3DSGdimNFxeQnA7ftB\ncjnKjxY2BEVNVrt+EiXTjOmpnknwKug+n3ZERARiqbfqy/UX47m8/NNNaUpDks6JSzHjmaoOGY/f\nhgXD18cH90IiM16Qnxma6sG7jyOMWk7AmSDNMpkDCsQxOIBqaF+pMH9JKiyLzo4GeJmofTg8cxzs\nnBFgBBgBRuC/TyDPDbDgEydRvk1TNG4yELi6CVfj0g0OdbxvsaObLdrvuolr6/uhSBFrHLm6Db22\nPoBOnD+GGlljT3gqPocehpXxANygIc1PsfcwzcYRZZsMxsge1VDFoRTW3byLJc0dULLERrwjs+va\nlrUY6/0evjvXYNHMpTjzUjYUKdUj4+uhOzoNXQL/Rz5oZ1kUXiHcYGgCziwYAAcHG7QcOBZeAcE4\nNeF3NPFYhlnu8xFAsgMsTbE5SPPA6etz62BDYc2NjDD7iB/u7Z8Ac+MR8I2TmQYBCyvCesh1CJLu\no7OlCdb5xfAoXp9bhTIODrCq2xejnaqiXImVvKGpTT7m2iY+nbajJuKv7RcReGYeStWdgJUe47DJ\nl3QeWxm1ll+VY5axHXI4DJ/DT6FU0QHwjU/WwkZdlmOtTb+QzV1hZjodr9QLVO4jxslRHbE2WITC\niMYUx0r4O/A9vkz/1xhnZIXlVP5JV5YQz/F4REbc1ziB5AU8W1qh0fxtuHXvJmZUK48BR0PVojK0\nb4alvjF4saw1/Ob8D0ZU53bfeMYb4mrCco/P798iEJn0KqKDI77PtQVh/owAI8AIMAK/IAHdvM1z\nNE5dKYneQ/NDWLINemAOtl16ghau5TQmKwnyhttJVwTv7gVriRMOLo2Gc+9VmGGRiu01HaBz/DGm\n1ed6tWojZPt42PfYgTfevbH2znJ4OftgcsILDDp6EUZOdWG3bTFWVk+koU0hag/1wJrt2/Bm9Ay4\nOxZUS3vyshlwMRDAcdYu1DgZjB72NdB1zlKcWOMM4y5T4d7YHKiciCnVhmNGZAIvW3mhN6qdCEZ/\nxxpq8Tm4TsKmrRtwoO8ZLOHz2hllUQGN+uwmfTvizrxYlFnjgmr17bB3uTfKXwzDEGczcOF2ULhe\ntoOw8+oCHD77Hvr4qFXeorE7Hiw8g0reVXB2RVfqnauPIxOdcXf2Q2xtbAU4x2FK9dt4N7ouUo/O\ngNvpqXi3uz24Qr85pSJq7A5GogY20UeHa5C9S7Ka9AOKVeyG0fMNUVSNhMxDIA7Bui1vMHRcZdhZ\nG2LLlbXYQLbol+hvKnoDXzJ9RlWvCReLqlg2qTR2B07GLGfZ0KOWpDV6f7h3Dh/G3MP9xrIe0tGj\n3am3VfutUMS+Lv7aHYGxEf7YPIteDJpbYP2pWWhby4HKJ6NLeSMz5PJn9EYRo8w+mQTYKSPACDAC\njMAvRUD7UycXMEjD7mCW9xFEjIqi2GLhxfUdbD2Pd2SUaHps5jPifF8iTiIlAywNl2ne2Ah9XeiI\nHmFfkAguxkKlVqa2FYFrPggR94JDUgpAhlBRMrZKt23By4g5P6VLQQr1SqSkccNA6QaYII1kKixF\nVTK+OKdbwBhIkc9GkyRRP5gDejvJHtJ8fDrzlLJpXC9HAW0z11KQ+E6CynaWfLzcn4p/jALmeSNI\n1AsDw6/C+NBJTCYu4pgbKFdvklwuBR/efULv1mUh1S2Fdi1K8/7a5UHmGc1ya2knC8/rLEU/R4XO\nXE8MN79OjCsnTtEngrFYsvwdUQL8575CneWc/pnZiHEzC1lN+hV27kiGkEwFTX+lwkqYNssSjRzJ\nKCTX2H0D/p4qqwE5059UN/gdh64cwpHtUzHyfRL8pcnoqPd11VcXcVjawRZLOWWoTN/EDwdVs2xd\nQeuqGL7hCnoOWoWSjZwxaPk1JPavlCFcvoIyMzQ1gy9wIzGzTyYBdsoIMAKMACPwSxHIwWPn63kE\nHPPGsjsXMcBeZvTM7bkBlo3c4RM1GO0tZMaLgJuHRY46RKBjUQou0jOY5z4JJjFBGL/jOhqYCCBV\nTJ9RsXek/LGID8v/CU7JwdwfIc15eoQNxyX405UMOM6phOONKpmv7C9N7C6UbvOpXvniY0ma/AGs\n+xpzLGvh1NQtOLpiFAr6maHB9TSavxaHJAMhbyhamsrmD8kSIfmS2uRNZSKqtqagFkoUzlysujAr\nQcOtYwdj0uiGsjCjJ1KvDzdhTBFYwSYF5bOQ5QzZjPrJosvqr0D8AvHVFyMiTAfB9/2xvcMgjC1f\nGXsVPaEKFbhINOpP9SPkEOzq9cXi44FYWd8c+30O4ikZlmJRfjXjSbVOqev1Gqs8U3Dx5RuUI/M1\nTWii1oulHkbmkxh2ExumjofHSXtsvXAPzZ3LqonmL2lLHwQIkME2fPcZo6uVUZNlHowAI8AIMAK/\nLoE8mwMmED/A2n0l0VpufHGIDZ2bYBD1x8w/8kBJXFhQ1vvEDeUIxGkwbzkXsycNx6S5azGikR0/\nXCYV2mNoF1PsuvVUGe7+4W1A355wFAqgq5ceh0JAEa/MFMkHywr6eBpJc790k/H49UdeTCGjGEbS\ngywe/qIuWXjSd4rooJBVmDYZZJVS6QcFiuTDgsvBcg8Jbu5cAQztD8fI21hAA5Ke7i35XsB7O/9B\nEJmOAYfW0pysfNRfpaIDhU4Ly0peSjQpT4qeOLnOSXKDNR/PlrNudGFXuyfgeRhPOZuLcyF70XHp\nHTrIzEacpWxm/bioYn1WoeOkwzTfTrMTSN5hRYtt+GBaBjUbd8Kq03/hVVg8L5wz/UndC2vJQp+E\n3vVLUbi3uBWUTIZTDC6dorrE5ZucwuhRlJWiXPmL8j868c/xvFw9VDPRh4GJKQoLE3Dh6HXlRx2q\nsorjN0EX8VdLC5To4YXSE72QmLAJHcj40hS/VGiFZvDHibuyDyAE4mdYG/QBpY0VNUcRK/tlBBgB\nRoAR+JUJ5JtJThXADfrq8OnTp3BxcYGlZfoQmqpMdsdpYWfQp2wrHIi5gqupFdHVxZ4fBru8fBrG\nXbqPuPPbcD+sAMqVT8b00Z54GB6AUP2SaP67PrYM6YOpq1Zj3bo1WLZ0MeYfE6NT3yao0awNUj2b\nYRHZDG/OL0CfJ60QuKoHDF+eRb++w/Ck2GsE3YpFhaZ1YBx1GcNGcPHuRqRJXbRytkExUx0MarcY\nb16EoOaffWH//iLcei1HYEwAyZSFbcI59B+4DjGXbkNSoRyeeHpgfZAfdj4WorFtPJZOWIm7FF+o\nfkWUFZ3BwIEbedm0yi6obycbTkvnkoYHu1bDe1sw3ukn4sGmcRiW5oYHnp1RrGhhmIatwDTveAge\nnYGvXjkYzHPHSZu+aPJ6O3ru8sW122cgKVYH9cuZIl9h7fI9pUfhPGwvEBWCz8YmCPNag7V+17D7\nTjwqmydg/cy1pPM+3Nepiu69e6K1+SXUbLgP5iVfYOH6l5g+uyeK59dTY+NctR6aaZB9uWkSumTS\nj8tzzPVtGD8LGD6pFgqlQ1AeCVKjcHKJG3aHiZEWFwDP+UEYM28gdC8ugFMO9e/bphZC167HHf1U\n3DxyDsb1bDBr0BhYtGuHe3NpbmHIVdwIFqCWU1qGOtWsRlmqe+lOKiyKNK8WqD7fF/Gv7+DvNvNQ\ndPhw1LZS1/xD0HGMtq2JgdHmmLxgC9ZP7ITyxWmYOktXEE5dKmF6nYmQljfA5YndgRlXMaOebPg1\ny6DsIiPACDACjMBPTSAqKgo+9HW9nZ0dateunWVeBFJyqhJLliyBt7c3ZsyYgapVq6peyvPjU91s\nsHfAVdkEcj61jzg1sDJ8B91WTrbmhuoSYYBiJl8+Nsgte5AoMUBhg7zujfiInfTRQMK2EAwvmYYY\ncQE1fcWieIho4repiQEtoyCGRFfI9/Zpg/yl8triEdAyHNxyGyamJhnS08RGm6y2uLX7c8tU6FKP\nEaVNuxMUMjXV2HukPbziigQf4+KRasD1XIGWFJFAKPyasuSWOnmJ6MRkGFjZo5SJqommSIsMS78L\neFL0d9S1UR0STr+e1ZFAFI2g0GjkK1oKDtZfHj6ruNk1RoARYAQYgR+TgL+/Pzw8PNCiRQuMHz8+\nSyW/5umVZYTfctHif1Vw6PwtzKvRGpY0MT4xIhDH9r5Dg+lkpMhdARo2KqY4+cLffDTf53s8CpOi\nQvEyKAWrDl9Ee7c/YKnhAS80MOEnw/NZyMb44mS+VF4bGqnQAKYabFdNbLTJaotbu78uODtJSoaz\nqWl6WWqX13ZFlzfeFH1VX2d8cXHroqi1jdavNhWpmzk3guxzBoVPzn+5hX7LOxXPeQAmyQgwAowA\nI/BLEfihDDCn0QczbAtkZF0DaxO1zSz6ccupoEVlTEmMxZQfV0WmGSPACDACjAAjwAj8iwTybBL+\nv5gnljQjwAgwAowAI8AIMAI/NAFmgP3QxcOUYwQYAUaAEWAEGIH/IgFmgP0XS5XliRFgBBgBRoAR\nYAR+aALMAPuhi4cpxwgwAowAI8AIMAL/RQLMAPsvlirLEyPACDACjAAjwAj80ATy5CvIz3HBOH07\nEiYmxhCkJdC65cXRqH6FLNd++hQfjTcwoSUbNKyRIEeYExmBJBoXaPmH56nGaNalJawohzkJ90OX\nElOOEWAEGAFGgBFgBP5TBPKkByyfgTlK5H+GZs0a4Y9DL1DMokiG1cjVCYpxqHk1lCu9WrkljED0\nCoERtM2O0qnLKC+pHEh1DWFZWIQxQ2cjXMytMZuzcCpRsENGgBFgBBgBRoARYATylECe9IBx271U\ndqmHtrTPoNOg7vifyn6QmnMjRKONu+CVVBqGcoHkR6fgndQWFa0VPuoymuMqhN9c6tKGyEfkl3Ma\nTnNszJcRYAQYAUaAEWAEGIHcJpAnPWC8kpI0JNDa54I02c7Q3FY3cVFxSKaLqVHP8SQsij/mZAUS\nEXSsKqHub7J1xwXiV9jpOYf6rpJpuxkRbWOjLsOnQRLP7/vhdtAzZVy8P6WtcJnjpn1/IBaJEB8f\nj3j6VcQvk5cgOiQAt+8H4b1i02q6IBbLd7dWRMp+GQFGgBFgBBgBRoAR+AYCeWeAZVIq5tom2DjY\noO2oifhr+0U8PDML5ibT8YIzruKfYElzB5QssRHvyKi6tmUtxnq/h+/ONVg0cynOvPyQSYaL/DXG\nGVlheXgqkq4sgbnxeDzihxwzJpwxbtq3+qQHzKwGwOucD45NdYKZmSU2P0mkQG+xo5sthhwOw+fw\nUyhVdABuxEuRFrKXZMywJoiTYY4RYAQYAUaAEWAEGIFvJ/DdDDCLxu54sLAGbj6rgkUTB6DTwJFw\n+XwWkWQ0fTatijnbFvO50aMdEmsP9cAaRyM0HT0D0xfMQFsbw0wygI7oDXypN6t29ZpwGboMy7AD\nuwPfqxHJGDfwKjAO257tgZtrYwhiyPpz349BlFb00RlwOz0VBya2R42243Bzym00230XBcwqYbH7\nLFS3UgyFqiXBPBgBRoARYAQYAUaAEfgiAnkyB0ybBh+5GV4t7WSXuWFCQRGlqDgpRXkMpNA/KVL4\n4cuCSn9Vmc8Gv+PQlUM4sn0qRr5Pgr80GR31NGdHNZyD6xiUMxXg/vK2cDvVGw92/0FbM4tx88Qp\n4HMslix/x2+S7T/3Feos18Nnk98weMZvSh3YASPACDACjAAjwAgwAt9KQLPF8q2xUniBcg5VpiRU\n7axs0xFCIH6EDccl+NO1YgbptJBDsKvXF4uPB2JlfXPs9zmIp2RIiUX5oZ8pSdWARjb2EPmtRr3p\nt7E96Cxs4v1x6nVJmJUoAIwdjEmjG8rER0+ERKLMhGoU7JgRYAQYAUaAEWAEGIFvIpBnQ5BSoR5o\nFTAkJKVPYNfjFpkooCdTWJd+pe+QKldfWFDAH8lsp3ywrKCPp5Ekr5uMx68/8tdUZUIurKVxyEno\nXb8UXXuLW0HJtM5YDC6dekBhZGkoOsRUw+nE30L3RlMx9vgjtLPWQcyN07iXIIVd7Z6A52E8Vdhc\nNPer49I70Inzx5iWI3E+Kn1iv1xl9sMIMAKMACPACDACjMBXEcgTAywt7CLGtB2PUEcBlrm3xbDl\nZxF6dC6qTbwJbJ+Eufu9sfWvubiMYLRpMhGX/M9i8JgtNAQ4BWPWXqOMCFGz32gc7NoXo4auxf/a\nVEJqxKUMMvZ/jEObz8cxffkazJr0N8zcO2FGvVq4JkjEkl4TcFl6DYP7LUBg6EWVcBdxYkYvSvcz\n4m7uw+JJg2DTdSHyFxSiWOMJ8FmWH1Vp8v1mrxXoOiMYs9z+h5TEKGy6uhXRycwA+6oaxgIxAowA\nI8AIMAKMgBoBgZScqu+SJUvg7e2NGTNmoGrVqqqX2DEjwAgwAowAI8AIMAKMgBYC/v7+8PDwQIsW\nLTB+/HgtUjLvPOkByzJFdpERYAQYAUaAEWAEGIFfnAAzwH7xCsCyzwgwAowAI8AIMALfnwAzwL4/\nc5YiI8AIMAKMACPACPziBJgB9otXAJZ9RoARYAQYAUaAEfj+BJgB9v2ZsxQZAUaAEWAEGAFG4Bcn\nwAywH6QCPDp/DF6b98E/TvNyF5/ioxEZn76m2g+idp6q8S7oIuYM7I4+Cw/TCm955z7HPcABr83Y\ncfIebW4lc28jIjJsyJ53qbOYGQFGgBFgBH5FAswA+0FKvZSDGa6NHoKjz2nxWTUnxqHm1VCu9Gpu\nKVveCUSvEBihOFML8NN76IjuonXNJag9fggOz+2DYFEyAnz8lPnPzQzmMykFi0QfuHW/CG7LdYH4\nLso4OqLL4ae5mQyLixFgBBgBRoARUBL4zxpgYpFImcmf4aCgtRNqOxYEbSCgwQnRaOMueJ1z5XbT\n5F3yo1PwDkvWIPvf8PoYfheBFWhjdPt6iH0ZiToGb7B30VVo7h/8tjxLdY3xv3p1KZIC4PBLhQ64\ntmcP5jco8W0Rs9CMACPACDACjIAWAj+FASYW0R6PYpX/ZFyJs9inUSB+gP5N/8E7LZnOzvuTKBoB\nfn54EvE+XVQiRlxcFGJFUtrn8i1CQsLoWDFglS6W8UiM5/f9cDvoGdJNJQni4+IQGZdM8SQgLCwC\nH/hoPvEbkHMGWGrUczwJi1KGEUhE0LGqhLq/mfHRC8SvsNNzDu18mUxcOBbc3psiuX4SpMS/wrOo\ndN0TIoLh53cfr0l3hRPFx+NtVBSlLcbbsDBEisi0oWMlZ14nifJcEU7T79uwYPj6+OBeSKSmy7yf\nQPwWwcT0HnGLiIhTDvUBH/FUzki1Py8+jgYdg2MRQ2Wfz0SIZ/tXYdV7KT7QuYjLsJqTcY2Korgp\nH69CQvAyTpMRrjk9VcNOIpaiZK1acDBQtYY/8mV5L+ilvFwkECnrpUwfLl2On2b91BRmHowAI8AI\nMAK/MIEf2gATSF5hdcsSMLM0g5mZyn9LS9TbEKC12MIO/oP4P5ugiFYJ7RfSwvaisGU/RCAJJyZU\nRp2FF3ljITXKF3+1roSylsZoOvRvBDzyQTvLovAK4QatNLnXGGdkheXhqUi6sgTmxuPxiB7sQBzO\nzu6IcjbmMGzbHE5OjrDa4M9HYFg6P2bWbIHZpwIQcnkxhRmBG/Fk8MU/wZLmDihZYiMZlWJc27IW\nY73fw3fnGiyauRRnXn7Ap9h7mGbjiLJNBmNkj2qo4lAKa4ISEbCwIqyHXIcg6T46W5pgnZ9sNtXr\nc6tQxsEBVnX7YrRTVZQrsRKv7h1BIzNznvWBl6m0k+crzDUj/sXnpe+RqZJVgeQFPFtaodH8bbh1\n7yZmVCuPAUdDVSRkh9z+m4M6euCZXkFIH+2GY8Vt/FAft8/mUCNr7CFGn0MPw8p4AJ/fz+S/etHf\ntDXVMSydswD792zGukO0jdXD81g7ZyY2X3yhlgbH9czsAXBwsEGRon1w+lEA1rcuC7tJh5TDltrS\nyxxZ7LUtKFmyJCzXyeqYTvwDKsuSmO77BvG3pvHlEi6Jw56BDjyrP7eQbuRuL23Jn3tq1C9zKuyc\nEWAEGAFG4Fcm8ENvReQzqR1ONl6NOTa30fdMWfxT8xaWxrXAjMbmZBTp0j91F3ZyLpy6CxAcPwUl\n1C9n6/Pcqx8qr26AxBu9oRN/CQalduLm240or0ubhYdsh1G14TgQmYCmBpTG8iaogdlIHF1DLV5u\nDlNNywYY9eQ9OlukYpNxaYSfp/0lnYuQYROK1kbVYHw6DJtNg3AxrQL+cMyPnS1/w87uZ3C6x298\nfCGbO6HawTZ4490b+lza1RPxOn44DUNKsLNmabzZGAJ3GrZUOk7G2QcPElbj7dGLMG5UDz5Wtli5\n5ioCetjh1WZXlI91R+JETl8JjrYsi162W/BhqQ0On32PVi2qAEHbUaSWjzzPKTg8aiFKLJwOZ6Fs\ns3RlWnQg8tuApQltqTxkPXNcnBIJlUumghH7ecJspiHtBzoQZnTt0tr9cBzaHGdrloPvgrtYXV8W\nPvroeNivr5ie374peHdjoKycubz9LwVv3g+kTdc1O4HkEVoXqYl+T96hvYUOcX6Bv4jzkx03sa+t\nBTFz0JoegjbCvLZYzhd4sbYTKqVMprKtjPOjyqOD5SbiVhdSMtCNnZbhdKQvahuEw92oKiyvPMdY\nJyPEnl+K1Xq9MFOeH81aMl9GgBFgBBiB/yqBL9mKKNOj8sdCUnncTtQ3NUDI2nOo9ccfEPnvR/7S\n3ONXs/Hlt7w3Gk0/QtfLY1a3G3idmD7kljln8VffYoDvWfR3NMpwqUyPVbhssI82+J6E5OSXNCHo\nPfiPDw2A5LRUoMJS1CTji3O6BYyBFNVhqvSoPhv8jkNXDuHI9qkY+T4J/tJkdNST4xYnQSr4AyN/\nLww9YV38wQf7iJR3n1DP0UoZSZk6bYAx3ggS9UKFpBSlPyXKD1empHFfRaYbYGJOxrEGitJm5qXb\ntuDl7cOvwvjQSUweFQVxzA2UqzdJHk8KPlB6vamXSKpbCu1alJb5O7aEh3Qc1lyOwVqnAJwt8wfW\najC+OGFd6nVa2sEWS7kTnXl4Q8ZhQeoV2zp3G6KFQvKk4UOb1hjTug0mXa0J2yLu5Fcbc/csQz1R\nGPYFieBizMnJnKltReCaD0LEveDA5SU4hR/u4+a98XmTys61GWCQ0ECioBasDWXlIyUTvMkwU6x4\nngAdUVKW6dkrlJD/foSs7gjEL3BwSxxmXqnMXxHYdEFMTEcIiYkUpTFoeQNU++skxp5ojcN709B3\ng8IYzRQhO2UEGAFGgBFgBFQI/NAGmAkZX0A0tk9KRfehBfHhGBlEpVW0z3ToPHo7HpKBVKFTAqbs\nnpWVaKaQ6ad+y3uh0YyyOPN4HmoVC0XQVndIPsRDLCwMQRo9lMkooMc879LkD+n00OlHaSGHYFev\nLxYfD8TK+ubY73MQT8kgEYvyQ5+oC2hgLE3TVKb0KCg92YlUaykJ6Yu9R9hwXII/Xcl44ZyKfsBr\nzClZC6embsHRFaNQ0M8MDa6n0RyxOCQZCHkjztK0sCyc8m9RdNvRB/bLdqJhk7do2sVDeSXjwWus\n8kzBxZdvUI7mcaUJTfieKamwGCo4O6LgRykKUIDkQgIkRMah0f1g9JdE4r7fMXTuWh12j67KolOx\nX6X8saZ5W2QH6wl4eU4k1OcGitSvpXWIWZXXx7cEuTiVlK48IS3p8WVLcSvKVqYcNyFfH6bQQYpK\nYQmFutTTRwYolUu5DqOB0eOw82g8wl3afVWdU6TFfhkBRoARYAR+HQI/9BwwrhhEfgexsk49cD0U\nqRAhMjZ9OrumYirZ2B1BG96h89oHmi5n45cAvxnX0eHgONS00EPak+u4DAuk3duH5ddjICwoMwIU\nPTB6ZEZpcyEX1lKv0CT0rl+KRN7iVlAyGSgxuHSK9JIbA4oOMUUcBYrkw4LLwYpT3D6wAOjbH1Wo\nt0WRtswWywfLCvp4GknT1nWT8fj1Rz6MrtxIUeiXFnYbC1AWnu4teWPl3s5/EEQmRsChtfCNz0cG\nkmb9Lf7ohbZX56DvrUpoTRw0OZ3453herh6qmejDwMQUhYUJuHD0OpmVhVC1RSe4urqiDf3vQsOa\nBd/6Y+z+ZyhuXxnNekzDjrqVEZdSEkO7mGLXrafK6O8f3kb57QlHtfySwZom0VxLDQAAQABJREFU\n6wHUJyP2+qH7NNipxUlv4HmszIzSEQVj1963GFPdhgwp+xylp2DHl20BLu/mfC/afM+zyo8igpYP\nxcqHsrl/n01q4OCweAzrNQEt2zpoUYp5MwKMACPACDACGQnkm0lO1evGjRt4+vQpXFxcYEmT3f9d\nJ8bRTp2Rf9wstLczwcdnBzDkQGGM7/Qb9UlodyZlS+CSuzcaDKirdb6Q5tBC6JdMwLg+XhCaPMfe\nKx9R18wXYxekYFQ/YyweshKBMQGINCkL24Rz6D9wHWIu3UZaZRfUtyuSIcrCRc3xeO163NFPxc0j\n52BczwazBo1B8Q5dEbbcA+sfxuH2zQewrtkAtoW5B/1nRIc+A6L8ce1BLB6f8MCsN31xZWVnGLy+\nhGEjPPEwfDelXRetnG1QzFQHg9otxpsXIaj5Z1/Yv7+Ifn2H4Umx1wi6FYsKTevAvFhhmIatwDTv\neAgenYGvXjkYzHPHSZu+aPJ6O3ru8sW122cgKVYH9cuZpuuva47iqbdg3Xss6lspTJL0y9yRVFgU\naV4tUH2+L+Jf38Hfbeah6PDhqG1VKKMgnUliAzC+fy+80jdDrM8O7DfqAHfXaqjctA1SPZth0R3g\nzfkF6POkFQJX9YDhy7Nw67WcZ30tLBE1mtaAhUE+hHv2x7HoF4iv3AodqpRQS0cgeYOTi7disU8Y\njHUisaJJLxTddAELm9mSrC7staRnEHVZzjcAofolUeHdYVQbshk4/wS2HduhZcceKHFuAhocj4ZF\n2Cl4pTSHR6fy/JIVZGXTxwOpWGzghjUtuHSYYwQYAUaAEfhVCURFRcGHVgWws7ND7dq1s8TwQ0/C\n5zSX0Gf9NOFGNhGbPvP/IBHCMH3akNbMcUtXCGmY7Wsct6RDLE38MjE1pXRpKQaaWE6jTl/hJPgY\nF49UA66HiOYx0fIJ3PBVdo4bIkyEAYrR8gtZuU/ieCRKDFDYIOs4xaJ4iCgPpiY0pEsMJbpynpki\n55bfePGhEMpafMa2UWtRf8UklM4kk/FUgrcRLxGdmAwDK3uUMtHcW6ZI8xPl6wPNT+P1UIkop/nl\n5pTFx0tgwuVDg+OWH2llPhdz3uxBOdFbnrumupLz9DImwnHk6p+sXD7SUhfvqFfPGhFef+GU0wQM\nyzSfMGNodsYIMAKMACPwXyfwn5mEzxWULj+ZW15kZDgYZm1rKMv2a40vLgKprgFM+fln3NnXGl+y\nsIXIiFP0CeXE+OJCFaAhvWLcQTYuH827yjyDS1MQoYEJmT1yp8X44q4+29Eb1Sb/gWsHgLt1OqGP\nIozWX10UtbahSf/ZOHmaupQvbl5YZpfT/JIlTsZX5tCKcwmin4XDR3oKdx9HwNGppHLRWoWE4jfn\n6SlCyH5VOeqIHqJ8tSbYf+cMTp0ojek9Mn7MkTEkO2MEGAFGgBFgBDISyGokL6MkO/vPEyjXbQnm\n9nmCbU8rYoGr7U+W3wTco6HXTZs2QXo3EG+0ThLLnWx9NqiAowtHYN/qm+i5doDWDwJyJzUWCyPA\nCDACjMB/jUAO+5P+a9lm+dFE4LNJJYxYsV7TpZ/Aryia9e//HfUshAZD56LBd0yRJcUIMAKMACPw\n3yHAesD+O2XJcsIIMAKMACPACDACPwmB/6QBFk37K2a9WMWXl04CfdmQ23F+uRaaQ+RFfjWn9OP4\nfqL9LlX3tvxxNGOa5DWB7Or7j3yv5jUbFj8jwAj8PAR+KgPstd8pLPKYjEm0Sv2EhZvgH6VuEj33\nGocOx1584fIT2RdYatAWVJhESzZkL5pjiff3L2Df0ZM4evQojpw8iVP873l+827ZBt3ZR/W1+f0c\n9wAHNm/GYR9a+kKD4zYKz7hptgahXPD6FB+NSH6rAVqIg9PJazN2nLyXLWc92id0otVIBPD7a36J\nImLcPboSPWq2xKLzoV8S8ItkubLdTHzPBMXSRunRuLh/FzZ5eeN1blagL9AoMeQqVtK9M2rUJKza\nfx3v/yU9cqJyEm0ef9rLCxcivu7+zot7NSd6MxlGgBFgBL6EwE9hgAnEr7CxWyn8tv41OoyajgUL\n5sCtRjIaOJjjaFiSMr/SiBO0j2NpnBldV+mXWwfFGk/BTizEFJ+Y3IoS+c1LQu/+Ygx7/BnSK7Rm\nGK25bvz+FBrXrAKrol1wSsMDSDXxb8lvPhMrmCaeQJ+2R2iDb3WX/HAzHB1tcE1Eq//zTowAHz9a\nRiI3nRiHmldDudKr+XjzmZSCRaIP3Lpf5Dfrziqlz6Y1sNGnEuqOOJytsaYaT+z5eXA5YYJhA4WY\n0+loLucnPaVCJYohfsNUuJ57Rl/VGsKysAhjhs5G+BcbjOlxfu2RNOwwSlSbh1LdxmLetO4IGtAa\ny+5pKvWvTSH3wt1e645+S5ahM214r5tpDZGc1ve8uFdzL4csJkaAEWAEZAR++En4AskLzDVzxgL3\nnXg34w/ZemCke6n6w3Fh6mE0mnoMb3Z3pR4vMY5NGIFJawK0Lj/wrYVee9Is/FF6FUbGz8pmo28x\nQm9cwpXHLyjJAkhJSYFZtTbo6GyVQYVCFnZo3rYfpuo1gtOtUBRuVAsuBk5YH1oFtQdZ4s+x++Gy\nmzbizhBKcfJt+ZXqFkXtFrRf5EyxfEFRRbyyX33bdtizozoqyfe9FNCWUHsXXcW4+s4ZBb/pTIhG\nG3fBK6k0X2ZSXWP8rx5nPGvWKXNSQqfuWPPQAdtCmmGAfcHMlzWexzwMQvOmvVDbtTsiO4NWW8sb\nl9+0EtoPrI2ZidzaaIXwm0tduAi4fUpzzyWG0V6dvv6IoU0CuI2lkgwrYYBrbbX68sL3GNBvNNra\nF0Ny0C14kcm63Djvbn2B6BWuXLiCh5FiFChA+5amFEWLfq4opWVPUQWRNNpwvfGUcoiJbYA/t45E\nxp0ivqy+5/xeVaTOfhkBRoAR+L4EfvgesNtLB2CBzlAEqxhfCkQCcTQQ/oGfm8VtO7PhVC/86aS+\nHpNAnICwkBAa6pJtUaMIr+1XQIt4hoSozyPjt53pE4AzIem9bpnj0Il/gHFGVhh8LAw25aqhasWK\nqFatMuyLq+vFhZXQFjsC2meQ00wgHxZKexyKlMJlUDWRW7hUs9OW3wQavvHzu59hfpQoPh5vaQ7b\nB1qE9W1YGCJFMg6fkqh3q3YBWiA2jvIbhlhl74yEhqgKo1b9ypBpLcHj/auw6r0UH2iBWxEtKMst\nVhsXF4VYkYT2lnyFZ1HvlYpyC7oG+PnhSUS6nyZ5zk/HinqxfjNThlUtIW4RXjH3XySS93LRorh0\nLiIdZK4Q2q0ci82HaXunHDkxElLIGDLLL1sUV76ALTefjNM3UEVfbcw0JaOJOSeXlKLoPaQTbqPw\nHDlazywsBM9UdFEP9hHnPBqiRJWN+GTugFq/V0TFitVQ3c5aozFd3Kk2sMUVu+7HIH/ZOnj2Mgb9\n7TXXR/W0ZD7a7onM8rE+q2BoWR5n3xpTvZfpVa2aI4x0BZlFM51L4LN4Fkaf7UIGZLJaD6i2+s5F\n8jHuFX+/qg7b5+RezaQAO2UEGAFG4LsS+KENMJ24axg99w5ct/XW2ONkZM31xqTwD52kUF9ccXVS\nW48pLewMujdwh9/LUMwuaY7VWRhPHPmo80thaDUBAY+80djIGC0231UpEF2UKqeH/X7hKn6qh2/x\nd/NmKO/7HBcWuMGlljMqOzvD2bkWKlobqgpqOKZNvmmH59SIu9jvfRq7J47C8+5NkG6aZAyiKb8B\nCyvCesh1CJLuo7OlCdb5yYZLX59bhTIODrCq2xejnaqiXImVvGEn1aNlUa+6o+zEvYgIvYkBZoWx\n0IfL20dcX9EXJUs2xm0agoz08cK6QzeBh+exds5MbL74Ap9i72GajSPKNhmMkT2qoYpDKawJSkRa\n2F4UtuyHCCThxITKqLPwIm88aZJfd/MuljR3QMkSGzUMg0pwd8sYmJmZwazJSrwireJvrOPPKyw9\nr/wgooCxFQKP3tFqqKpSi7mxFwvmHoPnotmYsXAznpLByZV34VILSV/ax3x1e9hNOsTHpY2Zanzc\nsTbmmeVydh5NQ+0NsNA3HIGra8Boub/GYCGb3TDD2AOJCX+jS+PacHLi6pgzqtPis5r6tfQde+L8\n8oEYUs8WlSZ6IUqiYhhqTCGjZ9b3RLosN0RYtm0M/N8lYnb/lrxOnF7OtDl7YU2KpQeFjsgf0/c1\nR09nMgw16KepvnPBn9AuBG1nH6X6u5eG7cfjhTLO7O5VpSA7YAQYAUbgXyGQTbP4r+ikTPTjmzAE\n4jfMq19W6Zd+IEaw71WgML3dc446GBwdS6k9gIL3L0aBSVvpQVUCwrqGeEa9TdpcGs2VceiwHwdf\n+qKJySeg7nxsKpBxAFDP1Bx3whI0RiEJOozJFVYh8Su2pNHDfXSwUawpXx5d+63CNHqganVq+f2I\nO/NiUWaNC6rVt8Pe5d4ofzEMQ5zN4OA6CTu2bkAv20HYeXUBDp99zw9TpdH25tyG4aEr3HhDr+kT\nCxRy6IIaYb5oNXU+XDzd+eQt6/fBMgsBNp1OwYwFA+VDXLZYe2c5vJx9MDnhBQYdvQijUoZ4dfQ0\nUKEb7VdZH23WboNHqZ0IcW+A8hZ11eWd6sJu22KsrJ6ooedGF9WHrsWFxKtoJK6B0qSJTiVn9Bm2\nC3/PaKXEkr+kHVqReUY4snVmtfpgxfLjqJwyEguHVgJn4Bt08MDxlwmob0I9NM5H8dbYHgNqVsI+\nLcwyJqKdeUa5nJ2J7x/E2PAueNOjCRL2NwFeawr3FifGiLHiTR1NF7X46aJ8h2l43nwIzq8YiDo2\nk+FxIRRjqG5k53JyTyjieLBrOXod3QW7r2hVwk/twMPODWFBkaWIkhRRpv+q1Xeux/gRZg+9gAmR\nN9BEch0VsJdeYiiIPP2s7tX0iNkRI8AIMAL/DoGvaCq/n6KxoU+plS2F/7N3HXBRHF38fxRFRECq\ngKIfIqioYI3YsHfsNXaNiR272MUWMGrAHnvvYrBgL4iCigVEkCZSFBAB6R5wcN/bvcIdHM2SmGTn\n97u72Slv3vxn9ubtm7dvqirgUinpCX47lYSx7t1Z+6GwJ3cQhNbFmNMxq4+zYxriLBpiwZFLWF6i\ncMSH59K5wLx9JHzRYoz3eOGdhaFb5YW/Wg2bwjKyWDNsAm3GAafGo3fmfvDSC7UMSikPYTb3AdyG\n1ldckVJzK3fAkZN94HEvH60/3UGBpszh2ApqxRTrb1VMjvaGlrsnFjvEg5/og/odHMU1c5CRko+x\n9nXJILw2BvSuw6aLhBZNqc1QQfUa6I9Q+Lz5iI6N5UUafjb1TZjDap4kIimbZtWajiJSQ53+ZE/G\nhFHbcFfjNFbTm6qfPsVQnY9gX3IkYytF5dk0UU2F3y1+dCbJegkeLPKFqcdF2ExcIldOtG2r6IAj\nuWLSC3ZbMEfUt+y3r2h+jYOx2M4N0EJHpyZwfJNE5Y0UYiYlxEZKw1y+ZHmuquqak5ZxKAw1l6Db\ntO14sbZ5sWo8fjTO0XFLqwaPRHs5vd9HRJrPwmO3EXI2kDx+BNYOno0YzWc4Ee2EFJ+7sKzRFR0c\nTuMnnxlyZYs1RrZ45bknJPVUSGN8xL4fotpLHiREOd4pZrh9YwtaSHGW1JD8JuDM5nNA0BOMiNsH\n5n7xQleskGTTb/H5zhwZZgBbq2gMMdaih6VxOP18vZzwV9q9KkOai3IIcAhwCPwtCCgQbf4WPhQ2\nqm9em9LD6I+WyU5DgE8Y9Jq1gIlaPi6tmYjARitwvitTBjC17QSru/JCQ05SOJKsFyL4yWT43zqE\nH8csRK84zxIWgnxkROVh7CRLlp5y/Eu48frjsU424pLyYawnEjvig/1JRGnElin6payqB9PhB+G5\nZ1DRrDKveWSor9d5Jqb5jcWfzXsjqtkq/JC0QW5BkSVSvL/vsNa0Da4sPQAPNweo+xmg04M8ss9K\nQjYdSp4DIfWhPCdHyrZSGBeqMkIpWE1VhJcPdOzagDV7D6at08Ji8HMdgy4r6+JayHq00Y9A0MF5\nEGSkgq8mbrtIeZmqbJSXJxJcJTR5tTphR/tp2Hn8DJqE/Q8/jWJblVYTzQ0SDj87JCKb2fIS2yhl\np8UxchgbysasNMxLF6CLssvjJyM8ryFCg/wRHXgP60fMxInBfbC4pY5cUaFabQy26g3Xc8fRsgyj\ndqbip8BrcDGfi3Q3a4zzYQRLwLwtCcur5MeNzSj2Vb57QlqNhmHKxQvYYFe2Zo2pwydbPubMVkHQ\ndax6NRkR6atZTSxPEAh73UXi+15Evfh8J1u5sGT0dH+ETm/D4Ll7Eoa5dUeKm71EAYbS7lUpz1yE\nQ4BDgEPgb0Lgu7YBq2pCRrzCq3hChytfd3LGa9U07HE5ivtnHDHiYA94354rZyMVFBQn45KAjzN1\nO8BufwRqWlij35h+pO1ohBrsU3gWPB1HY7VniBzs6cF5MDISCQoPD28Axg+DVsBRHA4r9Ef0KSkB\nzcwUnwitatEVU1/OwE7/FDm6pV0wsqWQXvdi3pVjtk9aLl2CD5sDMOp4TUybelJOx1GUjmx/8yIf\nwxl1sXleH9YO7vnRP0gjmIcA953wTVWmdzFFAlRRGhA+R7w4Mft1ADx43dGtAWGgwnBEApdYROfR\nywJMYN42feDuz+KsIhbKJBoxRkj2W/kAg87Nh62RKvJCH+AuaZLynp+G64NEIiniobA8vb2nLkqT\nPAlIrgvLVKXt0IW4MPsnxHTtWczGryAuGpeodyJuFY8ry7j4S1UGB/U6Tdj5FRYnGl+eIAL7NsVj\nStNaVLoUzMS0SsdcSDxR3yqLOCuKpyxPTPxT4G6y5foZOXS4eeve4zGmvRY0tdSKFqNrXfSdXBlz\n3O7IzHUFxSRJTPMHz+MVXwdt2liScEIYbd6KNtu7s1gqJT3FnD6zcC9eIvJKKop+y3NPSGo0HP4z\ndvX7jdoSCdGSdEW/jL2YgfFA8uOWipM/LcEczxnSe5nH1Bf6ICjQH2d3XpbaB8rOd6XMF7Bo0QJ/\nZhiiYcsumDp6LCoZ60uFL6bN0u5VRTxxaRwCHAIcAn8lAsqrKMg26OPjg/DwcHTs2BHGxsayWX95\nXKhWE8P6WcKlXU9seKiLEf1r4eDs6fi95hRE3ZoDwfMQqJsYsItvJXqj7cGkq2i3uBtE4pEKqpm+\nwa5XubDKCYDTtLNw9HBGawNmaU/B9eWOWONtghmTWtHyzYRKqNlSCSPWXIZK4GU84RmiSuB93H5T\nA3OmdxbTFODx7hOoPWgSmumKF1a2ruRLHa2HdMPJJs0xN0EVtdWFSIqLxVt68/BDgRaMqheKFUyN\nGI+N6DdgGY7vu4pXsRfgfCQZ/SeOxI9NozFx8RE8v7MfmxMsMbtXA7GAIWmHuC3SX+Xq1aEX6Ybl\nl1PBe3UNvqr1obF+HjzNxqPbu8MYfdwX9x+TI1n9drCrL9LO5Me9RHBiEh57B9Bbkncwe9g9bPLb\ngy7V32LjuPnk3sEbD4LJVcQAWxipKyN680RcSIhCqnVf2GsFYcL4aQjVf4cgOgS7Ufd20FdRQxXT\nNMwfdwxq2m9w6l4W2hv4Yq5zDhwmaNEYzJArrxV/F9NmbsbL6BOI026P7jVei68DEFHFFD1b12X7\nXcXIAEkbsvHLzmHQVxIJbBIk0l6cx3XdjpjWmpmrisZVUpLw9tyEMVMOQD8xAt70ll6Xrp0xmubX\nypY/45V2Hi7NHgP+6svYbN8AT3YuwnAFmBVSIxGtFMxHqVxFqyn76a2OR8jXrgW/detYPH2CeejQ\nl8FKvh/KStlw3h6Mxg2B65sc8aT7Vqzo+j8oekLSbdoTtW4tRPP+N6BnrYWcD3HkNDcSMQmkqTXR\nkaujqmcKs4wd6DfMARFpCdg3aCw+TD+Lg+NastjmJjzDiCXLodpuDHrXK/pgUZ57ohARXjVzTLKL\nQhPrzkjWbgCNvBTiKxaRkUnQqmmEKjKdUaqshOTfnDDjN3rpZfU1bO5jXkioIAX3fjuADYf3o/MK\nF7SpUbXYfBdWqgTNC/vwSr8OMrz2YpKHIa79OgS6UlzLulcLm+NiHAIcAhwCXwuB+Ph4eHl5oV69\nemjbtm2pZHlCCrIlNm7ciMuXL2PlypVo3ry4DYps2b8uzkd8bBw+0R/6AZueaB4ai7ZBv6Pfy87w\nnS2x++LDY2QDPJ37FKtltm0YFxQfyO1CVT09qa2TiO9kHHS6hcErh8nZweRnptIr8BqoTgIOE89W\n00Y1sXpGKekONMzvILhMP2ACRPn74ElQLGMVBmZ7sVqznrC3+ZoCreL+8onnTIEK9LTJ6IrcTghI\nKJJol0oaL8YdxIdUAbT1tMsoy0cqU46hXUoQ0eMTPT2iR64jiB+1sphQQC+NhIocIzMYfbiGn09V\nxc7ZRQ3P07CDjOY1n7/BaDPJ1mQydjndxKiVw+XGVQF5mSQBUpNSoayhhyK+P2XKlBz9HMxLplb+\nHMZjvNfD50jJZeqQHzCNRhjdv1WReV42PeXYO9gRaYFf7EzKLlyOEsx26pP7DxDyPoMtnUOuP7r8\n2L9MP2Clk1Y830uqU/57tSQKXDqHAIcAh0DFEXj69CmcnJzQm/xsLliwoFQCn7EslkrvG2WqwYi2\nZgBDWLZXx1hLQ5JqeuH2u8Uy7amh34atGDP8OBbIGBcL1bSgp2AnJ/7mH3hgPhDjZSgwUWUNbYit\nldi4rPOIu2tW01bJKYUuMeTJqKCOTQf6yKd+3SvF/VUj/qXdLYfwxfAkVNEAyUrlCGokfJVdTERP\nIqR9nvDFbGcea2SLA7+fxJIwd9jP31WsYb7fUTiOJxcWUuGLFE6eu/DUfBCmFCtdWoIKKyyWVqK0\nvM/BvDR65c1Tr9UQvejzZSEL51bvhcHqg19GRqa2UE0Xzbv2w9d9fFM832WalYuW/16Vq8ZdcAhw\nCHAI/GUIyGwK/GVtfkFDVTFo62m4ubjgtN+uYsb0vFp9ETQnCr3EvqdKboiPuFw7uIxqUHKRIjnM\nETZjdBzh1KZ8BsZFqn+Ty/L395s0/42JamHIzR3oGnANaf1WoLee/JYd40JiaNdoPHLpK6O1o3FF\nxwqN6zfuxHdPnsf/AO0Jv2Ig2ex976G88/17vFe/d2w5/jgEOAT+egT+IVuQfz0wXIscAhwCHAIc\nAhwCHAIcAhVBoCJbkP8wDVhFYODKcghwCHAIcAhwCHAIcAh8nwhwAthfPC4JkcXPmPxSFtLorYtC\nRxlfSo2rzyHw30Agh86Q/Mh4zi8hMGeEvqOjuLjAIcAhwCHwLRD4RwhgufEB8PS8yb7aecvTk+Ke\nuHnTByHxoresvgUw34Lmm2PzMehCVIXfUiuLl9ygA2jkSC4myir4L8/nCRJw+8xx7Dt2Ge/EYOSn\nJtAh7Pxv0nNe5hucdFmMRU6/kx+tbyMCF+1TQdILnD22H0c8n/9N481HoOdBOm3BAbMcneHuF/NN\nsP0aRJm3MZ/ePIuT7Pmm8hSF8dcwyP4I0kp5DUlV8BaLTGaRrzJOCJNHj7viEOAQ+BoI/CMEMOVq\nhtBKoDfh7O3xDHqoQw4XlT4+wSTLmph8LLBMHJRSn8LZ9VKpTk3LJPKFBRjHk9bb6+Da7PZfSKl4\ndf2uS3AULljilVg88x+Y8s7vHntQdkVZF6pUg3H1TMyZugbR7KLJh3uvFqhfZ3sZY89HgJdfGWWK\nciPAn5M740bjvrC4uhF9r4QXLfBVrov2SVm7NozSvTD9x9vkLuWvD/6uo9D2SB4mOa3DssFGGN9l\nGHy+Qy3RpyB39B48HbPIZ98rVXn/e0Ayfq/vhOkXHVGnFAgL9Fpjr1cTtJ95/m8SdkthjsviEOAQ\n+McjUMrz3/fTN2WNGrAwJT8JSrMxsncr1g1EQ5uW+F/GM1hP96K33hoX85Auy32c1wGsf9QODrKJ\nf2mcjwsLZ8JxR0AFfFNVjMG2jqvRo842zCrTRxkfmZkq0CA/Z99riLt9Fan16KBuqT+N8nJaFQ06\ntkdH3p/iCuREdu9xHMuuUyruPCTg1AZvzLdrWd6G6CDoKFz1bIBJe9qg7Z1QjCJXHt8myPdJqKKF\nHzowQjy/mHPez22fl/kW927dw8s4PipXzkFOji56TxiqwG9XGnxW3oej1xGYa6sjNC6C3MG0h345\njkT6XN7SIwNw3fcpEsmhHnOgVna1Jpg0tG0ZWuR3WG47GbNjXiN7lDWC1OXnetpNN6yauhbpRd6s\nVcSjms2P2PHSkpzo9sQkC4mvOUUluTQOAQ4BDoGKIfCP0ICRR1EEXDxJB821lfHBlYUH524DbSXH\n0DAdFyCZnHeGxn4QPbGSI1I+bUM8vHQFDTrUoUVTtC+VFf8GMXLbl4yzUAlwWYgV22nxMpPJk3eS\n9OmXcQwaR05dmZAcG47XsR8llWR+6Yy6yDC5PKXMYOy5MgY/2WjKlBNFs8gOJSwsFhnS9osVkUtg\neGLKF93wKtBujXPjAnAtLFuufNGLLK/N6LY3oGhyha5zCT8/Pz9EJIm4yKfjZJLik1iemLwwwk9k\nWyPGIr4Qp0w6m1JSNo3KhkbK2699iryG2ev8wfuUSWcFZkLAjiEzjvRhMaKxYuL0URgEovFh8hiH\nsEompMFoUOg6JCs+HH4+fjRHYsVjJEDImW3Y9lGIDDqbMLNwIigkL0ks+BCLY8IUZGdkUr/VxI5m\nsxDu74fHQa+l2jSGh6SkeHIGTEe1k03RaxksJLQKf/l4I64vN74yfWLKFvawsKaiWHnm1gevbahm\n3BDX6WSAFi3o6K/GLejXCppSj/KylLVgM1cXzlNd8Yrugzp2DniX/FuJ55XK1pSNs+Ou8N6RLZWF\nG06dUbPpXuQbWqJNMxFvrerVKlPwzPQ5jN0TjqObthp7oLosVUZwvbvPH3unt5NPZq+K37tAVQzY\nMhf7z79QUJ5L4hDgEOAQ+HwE/hECGI9sMbwOpGCobW12Qc5KeoPzTlMw7X5/XDs0ntVuFNCZdsts\nTTDnXACiLq3AGNqaTHx8HqtnNsXYUx/QKvEa1u+5jVzyH7V0hStmWNbCPrGw8ubYZBhsesii6Oe6\nHL/tdkQn2xGYuXY1rKzMoLPzBfj+JzFvoxuGGvcn+xc68+5eGB5sHICRclugCdg7shNcfKMRuL01\nNF2fsjSzI3xxb6hNMS1d6LFl6L/GA7ERp2CiuwBRZYxj/E06tsVkIQJeXUZXTS303v9MpoYKatdX\nxRm/aJm0otE0HHTchjmDGxfNKPd16Jll0Bt0EKl5SdhkZgIXr3dIvL8PZpZm6O+wCMsO30bgtfWo\n3X4htjjNxz7fYFyZa402rt5sG+9u7GLLGmpqYs2ffnh+ZiEMtWbCNymPBKYEnHGbjkDcxwm3TVi5\n9jCePTqPLgaGMDAwwNmYXDpd8S3WGdSEQY31CC9DaOWlhmJjL0uY1iRnrdR6vOc6tHL2goqeOgI2\ndkLT46GI8zqGXe409i9vYufaVdh/O4rls7Qvlk/nVVQkGCed12I31WHOVJyqWQsno3NREHEeJlqT\n4JMqRP6H51huZoW63X7BrFEt0NSyNnYEKdo8fIf5miZwpfrZ9zYSJgvKdaZiSXyWZ24x2+J1+yfi\naUo61kzsg5YtW4o/VqgurzSSNtNu3gWsr7MLPxjrYs3lQOnDibRAqRHmrM5OaOV2C0HnHKBJc2Bz\nCeemhu2fjpVaTkhP24rhXdvSOZki3lrZmMr4fVPUGB9X1u3Cqgm2lJlfrADzX3LVU4Ca1Yv6PVN8\n7zIEKmuZINDjiVSoLkaUS+AQ4BDgEPgMBEr4m/0MSt+wSkH8S7ghFz/HPcCOdYdwc9NO3OVNprPt\nfmMP8OXxI7DQrDtyTr7A4d4mJCxlYMe1LBiMGgkXC11sO30RM+loJQvi0ctxDgb9Oh9PT53A+2xm\nBefjyfHbGDJ9FXj8ZziU0AMrRsTAfFcsLviuxojqynjRoga8T/6JaY4TsedAJ1QeFIKldgZIM3yE\nGfvC8Ym2QBkrE77/OcyNHo73o7oh7Uw34J0YFFJZWFnVlls4eIJXWDP1FhbG+aCb4AEa4RR7GLdc\nIXF15icv8jwsB53BuRhferKnhaX9r9hXWd62RVXPEE8i02RqFUZ5gmScmtoKh8e641GtSoUZFYgx\nhsstJ23Bhbg0dKRDzbv5boBm25OYljoPL1yuocnlprjuNoIEKTv8uaglnq15iYNdTeiE8SQsafUY\nKWT/ZjnUEfsO7sHZ8dewcWh9an0YHSHeCF3G0XhcHotxbhdx9uA8TFm7Ei3FWhgv3zzotPFCM1NV\nCFEDzSbMxC2XFWVqXgr0mmPtod+wpVU6qzWJDTyJKtYH0dTCCs02XUTEnnQY243D70Y87Luag5XO\nk8vY2hKBJVSpgeFuu3CU+PxlkzPxmY3Dth2hdDEEy2lekFoWYYcXwGLUEbZPO5+44lhLLyxOi8LP\nHrehWVv2fAURTaXM9/AlccahlS06GjXH7451cCJwsdyxWqKSZX+Xd269OO6KMR7Hy8RRtkWm76Pp\ngWTgu2dYazsYtadNgve7DbBmD7mXLVk87r9zAEYETsA7GmdNQVscXHEB/zMsjgVjo3VpDh9u7xVp\nqYrTlU1RSvLFpPutcbtOFZqHyXSeQoFsNt3j6STCN4JxEX5LvHepdiXTeuhLtcqreZRrkLvgEOAQ\n4BAoAYF/hACWEOjF2n/NnjqJ3YJ0WDQS9gYdcD3SiT0DMCPkDnbT3+MP1/ZgzbWPeK/TAhsX/cB2\nOerOBVrjO8NMDIDV/DWo/N4dfZWmIJi2BHn8V7jgnY5Be2sBKrpYucwCEWtno97mU6xwZ7BoM9pQ\n3aT/zYXy20M4prQUUewiS/qPm2dQr9sQ6aJdVdecNClDYai5BN2mbceLtc3ZVmOe3EEQJGdWihgR\nqhjA1ioaQ4y1SJgah9PP15eyEPLhuXQuMG8fCV+MR/j3eOGdhaFb64qIib9rNWwKy0i5JPaCsVda\np9MSzszJlHF78eOlNbQwlRQ+IhHdcNzDqRg//JT3bKU1a10QUJ2HHH480EALCSTH5jJ6yD71REQF\n2URfiAlWoq0/fjbzFplkqzgH6SkCWNcrPBezcQ8HYP1lBGWOIWFGtMzlMTuMYrMqFas+cBLOx467\nidhpQzZB/+uBneW0O+JnU5/FwbTzfIR16QTN2ZTQfgrOb13O5rBlhDnsFqq8SCupqeCXX8inEl7j\ndFAmOmqpSQvqmZOW8b4XwvhjYMnwYNUaurRVWad/b2kZ2UiBRjO433PHn4eXYtbHbDwVfsJg1c+7\nPcs7t1RIi3rEvh+i2uvKsgLvFDPcvrGl2EkTGaQFHrH0Tyh7XwV/nx+upwfDQrMJ1l/5GaeGisde\njlLhBXOfbVr0BKvunWM11rmRfrirNAs7FHjg5/GjcU54BasGj0R7Ob3TR0Saz8JjEvIViW1MayEX\nDtHZWlewctQAtnFvGpdVbKzwS6NdbRoL+VDSvcuU4rGa1sryFbgrDgEOAQ6BL0Tg8/7hv7DRilUX\nIOiaB9l/bZXaf+XGROAuPdkOENt0RftepQV1E9zdJhf5Y+bj5fWr6NXdgRRLfLKdyoCFhT7CzpBQ\nNseBpZcb8wIeSjOxrsp7RKdqw1QvDVt2fMAk3zpybOrpacD/6Hlg8Vp2K5ERas7tSMT0J0Zk05QK\n/er5CM9riNAgf0QH3sP6ETNxYnAfLKaDwU1tO8HqrmjBFhElW5OwZPR0f4ROb8PguXsShrl1R4qb\nfQkKsHxkROVh7CRLtroyoxHk9cdjnWzEJeXDWE8kNsQH+yOUnu6LBqFKHSxJj4CN4wCsqfETjksP\nMC9asvRrXh4jzLSFy7JF0sV54VIBHfgNapdCoaxDq1Yb2uYp3/QS5LGnSdOZlIXtM/G8sId4ZfAD\nmmjrYuSRcbD4/Sg6d0tG9+FOhQUrEMtWtUZITCRSw4Px4OhyDBx9Eu98JkNFlRFqwWrJIrx8oGPX\npth2cWnNSPlWLSwlZOOZhQnBOaVqUPLovMt6Hcbjt4uB2GJniDNe5xBOc5afWQlVZHBhCPLyRG4R\nZGdUYUMVmFs0XlMuXsAG8QNFIQ3Fsfvbl6HNhhdYofMKPp9qUCElVObx8FHBVl9RCnmv/eBBDyFT\nzUWi09v7zD04DdXInOCDRh05Q36hWm0MtuoN13PH0bIcgraAn4k8NQ16EHqH3bMvYod/Ej2YMVpe\nPo7amiOmyF2VeT+adGyQ/lcw7ipKuneZfojGV3ZyM6lc4BDgEOAQ+DIEvnsbMMbm5+qBZEzp1VTa\n0/xs+vukw7hbW2jiw81z+FjfFniQI/2bFcbewUSHU/TsnIPIl9kY0ckcOV47sCEglaWRlyNED5v/\nsXH/87uBVaSV8NmPs2/zICSfY268LmhbV7RQSBslnY7PykDMaS/SpX16eQO7lejE8yqBWH4qBJ8C\nd5Odys/IoUPDW/cejzHttaApoxEJCoqT2ssoZb6ARYsW+DPDEA1bdsHU0WNRiVxrMOssY0s0p88s\n8islv7ymB+fByKg6y87DwxuA8cOgFXAUh8MKzbU/JSWgmZl2IctyMbIZc76En04NxpFYkcAjl12O\nC3Xz5uhIG2UvojPEpd9hbf+leEMaAlVGU1FZLIGo0C9joM5osSgoqzMCTuECVllHGc53g9k85sWJ\nh0fdgKkT0ZQWW+ZFiWSqy4CRFfNG6ijTqMcY9Pdei/GPmsBegdZETIzqiXiQKI/U2LZZcvhw7Q+c\nT9QkzDvgZ7dt6BD8gRWKRIIlaAHn44G7PztOJY1D0XaYxVmoZoGpw/Vw/FG4NNv//CEao9Gwoj5J\nBLzStGtht3bS4DtirF1topGMR0GfiJ9E3LnyosQ+KaJX2tySMieONBxOtoz9fiu3rZmquhJcLj1E\nPm2R/mBWjeZqIK6S5nBqO0YTy9h3jcZqz5CizbDXlQxJw8zThDZt/TEPL9tn34FTf3M83rhbge2j\nLvpOrow5bnek94xComxiFg4ZmmMz2dUlefxKxvcHMYIVvpjMfEBHiUwJnuKZxx+4EvuJxkqTHrxe\n0ss0IiGWKVXWvVsQF41LUg0uU4MLHAIcAhwCX46A8ioKsmR8fHwQHh6Ojh07wti4cJtItsxfFY/x\n3Iqps51wIiYBmW8jkF2zJVrX0YYwOx4bdrlAz1QbZy/zMGqaPUwDnbDjrRBp9Ir8ovP5+HXzeBjR\n4hj3yBMXQ0Nx4pkFds7rQH+jtA7kvMWsVZehnuyNM2QEzHsXhpCE+phLhrsqIRfw29MGcP6lOasR\nkfSVeZPRYZMPflo/C3VoUVXOi8fl7ccRRMLI5FXjUUstG87bg9G4IXB9kyOedN+KFV3/RzoCsiEh\nlw8PJl1Fu8XdwIhHwkqVoHlhH17p10GG115M8jDEtV+HQJdsnnITnmHEkuVQbTcGvetJhKlKqNlS\nCSPWXIZK4GU84RmiSuB93H5TA3Omd2ZpMoLM490nUJv8HjXTFQtCEualv5Vg0TAXs25Ww0+tKz62\nwkpGGDC4Edb+0B5PtfWpvT+gN281Gjxzhc20U2TlHoYCLW1EHtuBnX5kSP8kFdaGadi9aieeRZ+G\nv1Jz9G9nilfHt+PyoWCkVEnHi33zMS1vOl5sHsaslYRNdZjnnkafPc8Q+jwf/X9sD10GRBVD1Mh9\nhFpj58LORJHoQeNKtoAbx80nlwHe8AnmoY1NHlbM3oyX0ScQp90etpUfYeTwM6hsmotbW91gvMwB\nPevpoZKaMqI3T8SFhCikWvfFoKY1SxgHEZCy7Tz3fA39zr1gP3wwcjf3xIYntEF80xnjQvsicNso\nVIu5jgnjpyFU/x2CHn1Ao+7toK/gDcPquoYI2bkbT6rk4uGfN6DVwQyrf54DowED8HzdWgV9CkBE\nFVP0bF1Xbp6WNrek00Ac4VUzxyS7KDSx7oxk7QbQyEuht35jERmZBK2aRqjC4C4TajaywbsRg/Dj\nhedID3THwIk+cLx3BcPqMW/3puD6ckes8TbBjEmt2PtMpiqE6jpokHAGro+j4X/iBjRaGePu9RuI\nsx6PX2xryhZl47pNe6LWrYVo3v8G9Ky1kPMhjniLREwCaXxNdNj7SlRJCRm5VzF90ny45Y7Ai12j\n2XkkyivA28d7sPO3vYhqOgMLetSDipI68l/sw/vWI9BEbIivrFTyvcvQSXtxHtd1O2LaZ9wzIj64\nbw4BDoH/CgLx8fGs0/h69eqhbdu2pXb7H3sYd35mAkIikqHfyAoGJGgxgXFxwCc7Gz1tsfEQmypA\nalImNPS0WQ0Tm0RfPH4aEvmVoU+vqvMzU2kLQxvVGDqM2wOpWwFJaeaX3B+QKwE1jUI7H8b9QjoZ\nKlVXEzNANZm2hESrOgldhYEPj5EN8HTuUzmjapZfAfFL25uyQTn+DnaEWeAXOxPZZOQTn2x7RJuJ\nZ0t4plJKSXegYX4HwWX6AWPcOJBPJSnPck2U84LBNBXKGnqoVghHOetm0baQJdIOhWGGaZ50DIpW\nzkxNhVBDG+r8BERlVEVdowIcctgJO7fSnWcWpSN7LSAXEyrEL8O7kHivLsc7jV2qANoyc0eZNKk7\nIouPgyzNovEcmoPMGDHzquJBgCziLVfMG5/4/dxxKmluKeKJ2YJ7cv8BQt6LNJs5OVXR5cf+CvyA\niWozY8Onu0n+PmPykrHL6SZGrRwu3d4r2h5TV1lbm7R7zP2aCjWKy94pRctnxwbD6+FzpLBKW/ID\nptEIo/u3YusXlhWQbzs++baTv4+YfMYNSCL5vZMdj1SvFTB1b4t0tx6FJEq8d9OwQ8sCms/fsPam\nMhW4KIcAhwCHQDEEKnIYd2n/fcUIf08JjHNWK5sacixpaOtJ7LZl0lWgTcJX0SBU0yK7E1GqGi30\n0uWSVmhpXK6SCglf8nApM4KWXBk1aktRbTX027AVY4YfxwKfGdLFSTG/WTjnvA8GjgfkKDMXysSn\npD0mLrtJenfNaszxPCW1kytWWZpA/VDEojS/PBEGU3KM+xkhOz4CMUE52Hb+NgZO7wFjbcXaOg1a\nmJkQdmQsWizugftngWfthmDcZ7QpqaIiFjoV805jJzdNaBxW74XB6oOS6uX6rUxzUL9cJRUVUkFV\nwrWqOOtzhS+muuK5pahNZgtVF8279kNzxdnFUpmxKS7qMG4+duGp+SBMKVajMEEyrkyKbLywhHxM\nvVZD9KJP6YFxLKyII+obOcjVlxtXQJv8lzn3s8d5x24YaCRR8ym+d/l+R+E4ntyYmKmXzgKXyyHA\nIcAhUEEEJP8+FazGFa8oArxafRE0Jwq9XG6XatfCE2TAZPR6WhgUCyaK2v1wcz3G6DjCqY3orUNF\nZb6XtPiwCBju24GN+ol4ESdjpF4Cg/VHbsS6caE4FN4YzkPNSyj19ZN5/A/QnvBrhcbh63PxT6LI\nRxw60qkUDf4BTOtixut12NdgVam+5JTIZ+DQrtF45NK3VC3dP6DDHIscAhwC3yEC8iqd75DBfxNL\ntYZuhEdsfKldYvwskT/MCoVKVhMQ0tWoQnX+rsJ17QaT36/yhwLtJpjptrv8Fb5SSaFaHXRs85WI\n/SfIqKF579LtHb4nGAr0OsEjqgFtF5cc8lTMseu9C0zI5pMLHAIcAhwCXxsBTgD72oiWQU+31tcX\nlLSMvj7NMrrBZXMI/OMRUNauId3SV9QZJl/eClNRKS6NQ4BDgEPg8xDgtiA/DzeuFocAhwCHAIcA\nhwCHAIfAZyPACWCfDR1XkUOAQ4BDgEOAQ4BDgEPg8xDgBLDPw42rxSHAIcAhwCHAIcAhwCHw2Qhw\nAthnQ8dV5BDgEOAQ4BDgEOAQ4BD4PAQ4AezzcONqcQhwCHAIcAhwCHAIcAh8NgKcAPbZ0HEVOQQ4\nBDgEOAQ4BDgEOAQ+DwFOAPs83LhaHAIcAhwCHAIcAhwCHAKfjQAngH02dFxFDgEOAQ4BDgEOAQ4B\nDoHPQ4ATwD4Pt++uVk7SW3wUfHds/ScYSouPx6f/RE+5TnIIcAhwCHAIfC0EvokAVpAUDE8PT3h5\neeHezZvw9PTEzZs+CIz9+LX4/mZ0eJlvcNJlMRY5/Y578f+MZVUYfw2D7I8gTXquAR/PPLZglG0f\nbLgZ8c2wqgjhgqQXOLt/P07dDC31LMyK0FRUNj81AXGpfEVZFUwTIOTmWRzffwz3YkufB7lBB9DI\n8do37VcFmeeKcwhwCHAIcAh85wh8EwFMWdsEZlUTYW9vj3EPklG7tjGqIgo7rOpCc/JeRP0tmho+\nArz8kFHqgAjw5+TOuNG4LyyubkTfK+Gllv4+MpPxe30nTL/oiDpihpjDuTte0sa0yWpYO8SjjD7/\nNb1QVjOAXo4XJg+5VOr5e1/GDR/uvVqgfp3tX6XP1Y104D17Jh4klC6A6XddgqNwwRKvxC9jn6vN\nIcAhwCHAIfCfQeCbCGBCFS3U7zqCBC5NzBzSC1ZWNrDt+iP+iLmCxqfmYdP16L8cYB4ScGqDN/JK\naZkniMJVzwaY1KENfroTisSxTUop/X1kpd10w6qpa9Fbr/DA4MSXQejV3RZtJ55C3FsHVPsOWBVq\n1EC7Du2Jk8pQ/Wb8qKHL3uM4dmPoV+izCgytOmPGavtybS+2dVyNXf234e036xtHmEOAQ4BDgEPg\n34TANxHARADlIwdC8PMK1V1CtSowgxJ8E5JkMBQgISwAj/2DpDZMmalJSIpPYhe+tPg3CI0sbmPD\nEyQj2M8Pz8Pi5LZ+8jMTEEDpoXLbnbSddGYbtn0UIiOTj0x+IU8yjKDgQyyOCVOQnZFJbatBTbyl\nlxwZDD8/f0RnSsQ3AVKTkhCX9Ak8QRoiI2ORISZZnC8BMqlNPp/5iAoJBKJrCR+51Ec/4jmC6DEh\nMzUVyWRXlEHlkiMjESdtV5ZbJs7H3X3+2Du9nUwGH2k5VdHAoBLbnpqGqBMV6YMMMWm0KI+SjLRY\nETbvMoWSJOmvJE/CvyCPyjSsDAgyERkWiQ+ZisdBSoAiRdstbW7wiK6SSRO0b2AgJZEVHw4/H2Y+\nxOK1zJzIT33LzhNF2+IMnbdhYYQ7H6qVq0ppMZHi4yvKLtBujXPjAnAtLFtaXkBjXnYPpcW5CIcA\nhwCHAIfAfwiBbyiAMboOHnKzM8AsRFm04LmvWgEP3k/YN6yZGOJkHBlpjinnI1EQfQW1dSfBJ1WI\ndzd2wczSDIaamljzJwlZZxbCUGsmfJNEAlBu7B3Y6/TBzbRcRO3/EToO7uyWU17kKVQ3noBYZOPS\nQmu0c7nNLoBxXsewy/0h8PImdq5dhf23o4oNMU+QgDPOqyg9GCed12I3WyYNno6d0Gb3U0qPh7Ox\nIZxuMtq7JFxfMxj1zQxRrX8v2NhYwWTPUyjiK1OQhJOTLWFgYICfDhAPFB5v6sNeb6Y2Qs8sg96g\ng0jNS8ImMxO4eL2j/m/D/ywtYdJ+PGbbNEf9mlsUbqnxBG9JYydAzeqFOqVEn1NwXncBmzeswUqX\n/Qjnp1aoDyyDRb4U8cgUCXBpjFpTHoCX7Y9hxtrY5SfZgsvCDafOqLXwKrLzXqG+sS72h6VDqErC\n18t5GDJ1I56+8sIASj9G6SUFRe2WNjd4qaHY2MsSpjX3IoWIxnuuQytnL6joqSNgYyc0PR7KNhV/\ncxOq13aheUKjvX0g6jmK5g+TmRHkjjY6XXHyVTjubZ+NFouOQltVJMQqGt/CLW0V1K6vijN+Eu3u\nO2wwqAUdV2bucIFDgEOAQ4BDgENAHgGekIJs0saNG3H58mWsXLkSzZs3l82qYDwLR/s0wIHGczDK\nQgtxN1Ziw+U0nIxMk26XJXjMgMV4a6R8nAxmiQumBb215kGkT7XGmT51cXb8NZwaWp9t18+lEbrc\nW4jEy31wTMsKVw8/wZn+NSkvGcs1LdEsNB42t3+G9fZOSPcZC6XUO9CofRQPk/eioQptz4UdhuYP\nOXhPbVUpoSc8vIK91jwsT76MllQnyXMBzNbWxjufGeyWllLmI2gYO+BijC86ar+GvWYLaF2NxH69\nINzOM8LbNu0U8jXI6B2maDZDY98oTKNt2VSvTXDLG4EVVi+hZTkUF+LS0FGDeAzaC822aXiX6oDb\n1P8x5geQsckM569/RN/eTVmMZFlXynyGPiYnsTVtA+rIZLzZPwTWOSsIxyYV7EMj9LCqLkMJYAz8\nFfP4C05rmWPLDm8EjKqHt/uHouGHeUhf1BofvNajbr94vEjbSnwlYL1mY/gf8cUhcx8Y2s6Q9jfY\ntRtaYw3SZ7eWa5O5KLldB1wtYW68vzwWVZhxbpVOGM5AJM2nSfoH8WRic9JcvcK6PelYNjQPGma9\naQzTYKdNmCMNO7QscPfwA5zpkY3RBnaw9Y1mx0kyt6rcC8MSGyH2lTDvBhqJBOA3Z6ajZeQYJBEG\njHby8f6tCK7/I8a3MWG6xAUOAQ4BDgEOgX85Ak+fPoWTkxN69+6NBQsWlNpb8SZbqWU+OzMnJR+9\nx/yCiVbqwMSx+MGxEQYvPo+UPYNImODj4aUroH0/bHRNoQ0/4Om6t2jnyixmOUhPEcC6nrG07cY9\nHID1lxH83hp3hTm45uwC1zc1wcvJQQDpuYxSPmHgqG24q3Eaqx0d8elTDK3iH8G+EKdBy2F2Dl3n\nsNuaJQlgtF/KtpfHvESnwYff+fOoP8Zdak8kVKmC/giFT/hHdGycDSGvB2Y1qw5VtfbolfkCo0rg\nS2hUBzNcOsF27U1MO9EbF45mYuQeE/CDbrHtrVnrgoDqPOTw44EGWkigrccMwm6sfV0IVWpjQO86\nbDlFXxrtakO3SEZ2DsnUOUxfKtaHHkXoMJf8lPdsanEeNTA52hta7p5Y7BAPfqIP6ndwZMsmBpPW\nZ/x4MOIxUAMLE0nXpKYGgf8doNEmNGeETQoqlbWIz0LtHZso/iq5XX6JcyMocwwaMeMsDqad5yOs\nSydozqaE9lNwfutyZL89SfuI42As5gHQQkenJnB8Q1veIYGkoe2OWXUlVnNqsLRSA80kKGW+K3He\nQSyA1WrYFJaRktbV0GriArSSXHK/HAIcAhwCHAIcAjIIfFMBjNmCzGGlGRLASOSq3Zg0A9PuIHzr\nQDQgAyuDmrQlNfcXOM7uLGJp9iIIBIzVTOEiKuFVkJfLRoVUhQmr9q7DbNImMcFh0QqqB/i5DkKX\nlXVxLWQ92uhHIOjgPAgyUsFXq07bX6JFn1nuI7x8oGPXBjps7ZK+VFBVVwUhrCAjKSMvLPBoY1Bi\n4iYUI6mIL6Z2kwEzgEUbcNmLD39be4ylNH4e08+2cFm2CC3EAsHCpQIIVHJwj+znjPXktVEMnaIh\n83406QAhFRLl8yvWB/m6oiteiTy+w1rTNriy9AA83Byg7meATg/ykEP2exkFVDcxi33hgYFFhYQv\nZoCYkUVwjvRFiDzqY0mh5HYZbOSDdG4Umc3ZqtYIiYlEangwHhxdjoGjTyJyB1M3EdkCapvRjFLI\nTotj5DDRFimbUvyrrPFlasQH+5N43qh4ZS6FQ4BDgEOAQ4BDoAgCSkWuv+IlHx+CciVKJRFdRt4Q\nRoDRqeQF3QPf+kdg83mEsyszJYadwuBNT9iylXWU4Xw3mI3T6o2HR92AqRNhrW2FcRP0seqsqBxT\nwN91HLa+fAu/lQ8w6Nx82JJGIi/0Ae7CCHnPT8P1QSJECzpo+5GPB+7+ImFATF36oyISsESLrQoa\ndB0GrDyJKHGB3JgX8KBNM7sGJBiJy4rNgyBUa6iQry0vRTZO+Ua2ODw8DCPtp6DXoKYsRXXz5ugI\nX7yIllgSkVDTfyneCJRZ+zkpXyVEhGqapGV6Scbi8oKMKgm+olCxPihqpiQew8MfwRl1sXleH1aQ\nfX70DwSRaBXgvhNvLe2Ay4fwnOz5mCAk27z+NK5q6iK+JBrIQj6Lt1xSu29IcCppbjRV40nbYGSx\nD9f+wPlETTRs2QE/u21Dh+APUK3TGI2FV0JQpioAAEAASURBVBEWJ3rhgSeIwL5N8ZjStBbULduQ\nFvMGvEMk/upSERpEL0yQMrGs8WV68CkpAc3MtMWdySLbu9FY7RkhvuZ+OAQ4BDgEOAQ4BAoRUF5F\nofAS8PHxQXh4ODp27Ahj48ItQNkyZcWFsd6Y9+MkbI6JQ8bTJ/BO1kLXdhaoVUMPPts24HoB2YS5\nP4XN/BUYb3IHtp1Pw9A0Ci67Y7BizWjUqJSHF8e30xoejJQq6Xixbz6m5U3Hi83DoKOkhLqd7KG/\nbwDGeguh/uI0TuQPwqohTaFpmob5445BTfsNTt3LQnsDX8x1zsGclUNRX18V0Zsn4kJCFFKt+2JQ\n05py3eDxI7Bx3HwcCvPGc8/X0O/cDc2ad0ZPwxv4YdklaKc/wdxhl+H85Dh66idj99Q52P0yCY8f\nvkAt204wr15ZIV9OQxqK3S6ooKZePjbljceuYQ3pXVBa1CsZYcDgRlj7Q3s81dbH491/QG/ealS/\ntBrDj/vi/mNy7qnfDnb19eR4lV4oqSP/xT68bz0CTcSG+DGemzBmygHoJ0awuPcbOwn9y90HeQ0f\n005JPPZqXBN6kW5YfjkVvFfX4KtaHxrr58HTbDyW/TwJQ8xD0KnzbqgZJmH/nig4TNLD2omuCEwM\nQJx2XZin3cDEybuQeOcx8qw7wq6evD6ypHZ71KpU4tzQeHcH02ZuxsvoE9RGe9hWfoSRw8+gsmku\nbm11g/EyB/RobINh/SyxsuXPeKWdh0uzx4C/+jI22zeAkpIOugy2xkbbyXhlqISnO5ZhQ1AcHh6+\nDtPBIzBwyJBi865wfAU0fidQe9AkNNNlcEzB9eWOuGM5HKOaGkqHjItwCHAIcAhwCPx7EYgnDwaM\nE/p69eqhbdu2pXb0GxrhK26XcdvwOvItlA0sUFtbtODz+JmsSwJtPW3aqGQCGfDbWiLtUBhmmOYh\nkV8Z+tqMlZh8YLa70qEhl8e4EPhAhl/aenpESwC+QEXqToKxiUpNFUBbW0OeUBlXxfkrvYIivkQ1\nivIjocO4tUiFsoYeqhXvpqSQwt9UrxUwdW+LdDdFFlyFVSrah8KakphiHvmZqcgkjPUYTMl2TaCi\nJh5DxmWD7FhI6FT0t2i75ZsbTCsCcvtB7LDYCgnb6nLYFqUry5c4T5vGQ4XciBAdNdpGlexwKhpf\npSR66cP8DoJTV4tt32TpcXEOAQ4BDgEOgf8CAhUxwv+GW5CKoWactJpZWEmFL6aUUE0DelLhi2xy\n4iMQE5SDdedv451AXU7AkqVamRbIooKZUIWhxQhfTJAVvphrtQoLX0ytovwxaaUFRXyJyhflR0JF\nhRUYKyp8MbW17RzgfNAJ5+MZw6uSQ0X7UJySYh7VNLRFwhdTQUb4Yi7lx4JJ+Zwg32555wbTkgrr\nyE1UX174YnNLwVzcJjuJVKAhI3wxNRWN7901qzHHcwYnfDEAcYFDgEOAQ4BDoEwE/nIBrEyOqEB8\nWAQM9+3ARv1EvIjLLE+V/3AZXcx4vQ77GqwqtKX7F6PxPc4N5uinMTqOcGpj8C9GnusahwCHAIcA\nh8DXRECyq/I1aX4xrbp2g8m8mwvlRaBArxM8ohp8wzMWy8vJty/3Pc6NSlYTENLV6Nt3nmuBQ4BD\ngEOAQ+Bfg8B3KYD9a9D9CzuirF0DZTut+AsZ+g81pWXECV//oeHmusohwCHAIfBVEPgutyC/Ss84\nIhwCHAIcAhwCHAIcAhwC3ykC/xgNWJzfRew7epNOYSTD8/91xM8zuuHNYQ8Yjh2Fev+YXnx/s4B5\nKzUmPg9GtSQvLnw+jwVJL+B+4QkEde0wwq7im8gpQbexw3Uvws2H4rdFA6HIouqj/y2cfxYNkx/s\n0dMyH7foRY03uVroObwPTL7CPMhPTSA/ddowVvDW7ecj8/VrMoeCX92zA54hScjXaYIpY1ogKKQy\nhveu/8WNCWOvYeL2bOxwHljisV3laSQ3PgA3n39A1aqqEGRlse6VK1XSRk2rxqhvJDltoDyU/voy\n0V4n2PNjswmBDhMmoyb5LVTrPx7W0hMU/nqeRC0mY8/I1Wi6x1XqvPnv4ISZf17XHyGnalVUzstD\nZi7jKLsSdM0bormFsfSN4b+DN65NDoF/CgL/AA1YMk47mKN+1+toO30ZXDa5YHpHFUzVqYnes4/i\nA1/eCenfAzwfAV5+Cg/M/nv4KX+rn17uh5WVGe4XceZafgqFJZW1TaCX44Wf+//JHoZdmFN2jDnX\n0t52I9ouoCOD1o1DcAn8VK2pj9Q9SzH0xmt6y7IajKtnYs7UNYj+KvOAD/deLVC/zvbveiwZn3XL\ndCzxqPYAOLu5YcMYCzqr0g4HPn6NeyELZxZOwblAOpqp7GErtYRyNUNoJbjD3t4ez6CHOsb6UPr4\nBJMsa2LyscBS6/59mQL4uAxCY3ceHR+2CZtdZiN/e3d0m56FWn+78AUkeDhj3uWwvw8eacuV6SFF\ngMP2AzDuQTKMaxvDoGo2Ls5pDp0+2+isCS5wCHAIlIXAV9AZlNXEl+X7uQ7HTwd70aHaW0SHahM5\nNRt7eAQdhZbV9i8j/pVq8+jA6VMbvDHfruVXovjXkaliPgAnj7RCk6+wuAhVdNG2S3tini92Plv+\nfmRFP0Ngo4FobdEBH8iBr3IJ/FTSa4KBk9tiVTrjQ64qGnRsj468P8vfUKkl1dBl73Ecy65TwtFO\npVb+yzJDjzvCbd55pPduLGrTrD1WzLPHo5a1v5iHVJ8/8NPlZDo784tJ0RjWgIUpORFWmo2RvVux\nLjoa2rTE/zKewXq6F1xGNS7jOLAv56GiFPLCzqHnr43In9sImLCVa2DQdMLb/O/nVYnOm3Uas4+4\nEsAvIgMtbERHsVW0j1+jPONixqKJISJRgGVj7GFjxhw3Z4NG6hHY0mUJLgWNpTOA/z7+vkYfORoc\nAt8age9aA6aU+ghrVjzBuBPzpcKXBBBeLVs48tLAKL4lITf+Dfz8/BCRJH52J8egSUnx5ORVSE5B\nkxEWFsk6fJWUZ36Z9GCq8zwsTnw8EeOEMwlxRIPZnouMjEWG+Kik/MwEBFDZ0FjJUTUMBQFCzmzD\nNtI+ZGTyWaedTCoTitMWpRf/5uONvx8eB72W0ToQH+RoNj4+iVoQICEsDK/jZdstToVJKYoB4ww1\nmTzzfuQTP5liDKTaIgE+CqqjjZ01JH+VPL4Ej0jExjJtS0IWwsU8Sg5OkuQwv8mxkSwu/LxKsskU\nZ3gPwGP/IGqrSJbMZWoSPTPTUUGJhKEyOXVlngzyU9+yeAfK4U1+4pjDxiVBwBw6Lh8U1ePz6Ugh\n9kNoiuOZ1JaA5kgmc83GM6Fk0gTtG4g2P/P5qUgi/JnZxOAaGhkvMz6iNnOIx7AwZo4I8M6fTi8g\nz/klBUm7hbxkEk8SUBgnvSXVlE3PwuNzjylBvt9q5m3xg7HkkCfZ8uWP8wSv4LQOeOq7G/B2R0gJ\nWsjyUxQg4OJJYEpbGf9oWXhw7jYdgVq5wkJ6+dv9/JL52XR0mPATPsmMhYDm9ND2Zp9P9CvVvLN2\nBzrcuoRRdHd8qXbya7CU8uIBAnlDYGtaOO8+fmD+oxqiluH3vcX8NfrP0eAQ+FIEvmsBLDvqBZ3n\nWIAGtRW936eLX54fRXOxpiT0zDLoDTqI1LwkbDIzgYvXO1o0fbHMvgnqGmuh+9StCHjlhQHGujgW\nJjqfMTf2Dux1+uBmWi6i9v8IHQd32npKwvU1g1HfzBDV+veCjY0VTPY8RR6dZ1jdeAJikY1LC63R\nzuU2K5zEeR1jbUXw8iZ2rl2F/bej2DFRTFvRcL3DfE0TuEbnIvveRhhqLcArVkBKwzXnSbC0NEOf\nyXNxLCAYV+Zaw9b1oSIibJoiDPI/PMfSQU1Q20AT1eYcQkjAJdQ10CJ8oqkOLYZu42Fq2hWPabFl\nBN6fBzvhtao6hK9OwKrxIda1hVLSU0zVrIWTxGNBxHmYaE2Cj/icRx4/Cpv7mOCn4w/w9tkR9LSd\nyS6uIiaTcWSkOaacp+fk6CuorVtYT7YTBUR/+4atQMEFbFrrjJuRnxB/cxOq13YhvEku2z4Q9RyZ\nsSk7KKqXRvTXdqoNAwMDrLl4HxddRrDxH/f6IeuDH340qAGDbr8iJiEEG3tZwrTmXnYLNfH+PpgR\n/v0dFmHZ4dt4eW01DLVXIEq8OIeemQ/9XlsQEHASJjo6mH3yAHq3PaFw+zVo/zToUPsMD4Uf2rYx\nXMz6bwvbTzzprcDbMrtYFa0GdwY2DYCm7QisdN2Hh7EZaDRqyhfbBD3e9CtqbpiCeqr0WMPThOSc\n0zJZKqEAT/AWXgdSMNS2NivoZiW9wXmnKZh2vz+uHRr/XWoZldXpUUT4B5rrtMZER2ec9wqFSstx\nmP03+3gTBB3GSgzDSNJy6tFBZu+Tyn4YK2FYvlpyuPdloF1r4iefHmBSEei5FZYj3LD04il005Oc\nR/vVmuMIcQj86xD4y48iqgiCfP/DMOgwA6vuRWGujfxZgbJ0hPHXoGU5FBfi0tCREciC9kKzbRre\npc5DtbDD0GwxA2cprzvlBbt2o+O01yB9dj3s07LC1cNPcKZ/TSKXjOWalmgWGo9BRtGw12wBrauR\n2K8XhNt5jWDhPxfW2zsh3WcsCSp07Ezto7QtulekmWPa+CEH7z9OFhstJ5dIeyAdFC4bGNsnW+NO\ncAj9iGFGuVSvDqJvBmN1Sx3SoEVgtE5LaLmHYFtXQzqsnPrVKg1R1K+iaJSJQasIRNAxOYxu5xP9\nmRva7sDFSF901A6Bve48OL67jGavfofBqmqI8JgMA1JB3dl5BlZTe+G6bX34Oj/DdjuRZijBYwEs\ndjfG+8s/ws+xEfpW2YH0lSQUUEj1Wg/TxZp45zMDWR4zYDHeGimEC6PRCnZpjNaaB5E+tTlbVu6L\nwXB8DlJ8JqNS0n1omPXGxZg02Gkzf+Rp2KFlgbuHH+B0f3ME7RwM25wlNIbNweO/gL2hI8t/O/6D\nEuud6ZGONgadsDQyFb314kjobYIGT2IxyUIdNxwXo+qy9WjDzB2Gj1bpNHdmsAJC1M7uaHJ5ItIv\njaDxeEUC+wQ4xvlS2TiaL9bQ9o3BPCt1XJlsDreOF3F1VAO5bjEXzOJp46oB3z2t8MdID4zf0x4b\nl77CUrfhqELCnAqB89HvHH5/Ug2Lp3Yv0/Cd0azePrwfe89txEVvkS7kcFASBtA5mUweYxxdoF8X\nP7S0LJOWhFlh7CUM3SjEWTd7KInx3xv0HsNqibQbBUnBuPo4joysrfGDhb6kWqm/DE0tqx/xs8vv\nMKWzSW9u2om7vMmISPtN7gWL5Mhg8I0bwIQOU/8eQrTPOfxx4CC2nfJi2emz8wFO0Hbpx6CrOP8o\nGdWqaaBSpVwwduc8+vpUvSGG9G5aLqwZDXNgTAEalRNDER7J2NbHCe083GCjkoMzfSwxqdspmv+t\n2ey/h69kbLdtjJ2t5mNefSWEPztHeAVgh38SRpuJtOBfg6/vYT5wPHAIVASBihxFxKyL322orCkR\nMwrZ5Ami8Me89bj4+By8gvLQZd5x7B+SwvZhzVoXBFTnIYcfDzTQQgKzuOXRv2SjTbAVa8pUKmsB\nOapQynyHu8Ic0jK5wPVNTfBychBAOi2jFFrQqmdDyOuBWc2qQ1WtPdhTFq224a7Gaax2dMSnTzH0\nlPwRdOQk6ChK8LNz6DqH3RZglqtSaRcRwAo0msH9njv+PLwUsz5m4yltfwyWqB4E2SR6WGKsjUjw\n4WczW2+Kt274Ke9LxECV4a+hgXSBUK/bEv0RCp83H9GxceFWVpXG/eDobQtznXlEqy3WnfwdHTIj\ncTooEx21Cg9S1CN7GNz3QnimLU7sSMTiWzZs28xXZT3iNZgBho+Hl66QVusDNrqm0CFQtLW17i3a\nucoLoEwdJrAYBoswFLx9RSvbOBiLxwzQQkenJnB8w7wDa86WV/SVXUo9oVoLLBuuj8XXQtCrQwh2\n0xZe5fNP8dM8bXigI7aJ22L5kCGexYhhfeqJUpjtTp5kTqrBiKeMN2lMX5UQ9/ITNPsq7hvqDoLf\nHg1oxJ6Ht01zLKDzJVXri+3MxFO7esvBJHTLNFxCNDk2Huq1jNBp4gL2kxv/FEssu+PisxgSwIxw\nasxM8NZtR7vY/Rjh8g4ei0SCcQnkxMmM4f1MXI/qDAeHm+Blf2DT3ybTvUACGCPkTrU/h9k3FuDj\n9mlY1fpXrLIzKZ0k5SYEkgBD9l+zp05ityAdFo2EvUEHXI90okVanYTFBFzcswU/LrpND0++Ypur\nMsl+swLM1vUbgSHM2wzGevr8ujMNl9YNxMjtXvg4yhhnSfvcePUitKoSjAGm0zEr9A66VX+P1RNI\nO1sOAeyj/0VsdJmKP2zOImlR+YRYprNJnq5Y4n0QE+bx2LHZ7/0R7QaLhBzmwfHv4Esp9RWOB2XB\n8dgMscA1BU3jLOF8N4SumxDXX87XNxtojjCHwHeCQKFk850wJMuGkmkjONCrzas8fEkDJjpsWqhS\nBz+77cYwrzow7ReAVYv6oErIXqrWFi7LFkm3YRYuJVsf6p0gj4QWWtglYkYeRPZDQnHPV+1dh9li\nY1GHRStoq4RI0YdHG155TFwc/FzHoMvKurgWQpoS/QgEHZwHQUYq+GrVIVQVPbkzy2+Elw/0fiCp\njIJC2mxO4VdemDvqdRiP3y4GYoudIc54nUM4CS/8zEqowvBIC37VQtmnsGKRGC+PhKwSMMhj+Asu\nUkHBZVZcErr4B2OiIA7+fhcwbEQr1HvlLSopI1sI2XgmvYVYhd0OkSVVWEwFBjUrA3N/geNssRAw\nexHhKwOqbMVi8URkC2isVETYZqfFMXJYOUJJ9VTQfsI0RM47gC0RRvB8ch4uLU/Dw8wUVoMnlU6X\ngbZY0CXtYEM4rluIXPNsvLVzxpY+5sVKMQkqdNYpM5TPjh+BdeeDEL4+jdvpjUgPW9GQgOOr3TFq\nz3SpMF3JyAo2VlUQZqwDxoB8ucE4hJrRlr3ZFNhvmA0/h05oWYZmKdXLDQe7eSB9IrNw0pQjgSv5\nFAnP4hB5fDNU16xDAw0N8BxmY8tgT2TYTWY1hJIyxX8FCLrmQfZfW6X2X7kxEWBMCgaI54BQpQb6\nTl2B7Zeiilf/G1Jeux9EUK9FUhGfObe2OQnMCDGGeuo76NL8aW1UhXCmfjSahGMUF5L74zaDfiim\nkVbEfnV6eWjdsve4e0lRruI0Hv8ZZq3VRkR6ulRrOLkZaYDPvUTGxGbQ+pv4Sgl+zNp/NTeW3PHJ\nCPfORni3bLYjSl+BL8WIcKkcAv8eBJS+564wwtYS321k7zJUbLNUyG34w1vsRRat5+rmzUmH4YsX\n0RniAu+wtv9SepqlNybVRQu4aCMFZPgruhaqNcS4CfpYdfaJlKi/6zhseZlOK6boT0WiiGK2wPxW\nPsCgc/NhSxqsvNAHtJAYIe/5abg+SIRI+AEtinw8cPdHbmm0pa2JImG3dpKWwBFj7WpTQjIeBX0i\nOom4c+WFiA+hSLvHlJb0RVRT/rs0DNiSwlCiLgofn12BB49erW9AC7VMX5WSn2LumdeoYWGNnqOW\n40h7ayTlmGLqcD0cfxQubdD//CFg/GhYqdVAt2l6+PWonzQv0v8+adsqk8ChgnptRwObzxeeURl2\nCoM3FeItrUQRSd8YQUW9ThM0Fl5FWBxpYCgwW7H7NsVjStNa7DU7hpXFf/wy/JdVr1qrfvg5aB+W\nh9RGOws7jOl9CaN/ikEv2u6VBFk+mDRVxvJMti0aD9KpUsjC++R6OLphBRY4rMXW+QNhyDBfQuDx\nX+G39Xz0aFyNHgpyEOjxRM5W7IPXNgx2PC+XVpSUUmo0Tpx+hljpSxRkih/miWnBAzGiaXXkp2VA\nj+wdRYERdLPA3B/Mr6fjaKz2DBFlyXwrpT7FNMcc7BYLX0yWUK0uOtK26rFnb9mS2elCsvsT3UE8\noqf0MV38QFMyXR5Zs109kIwpvZpKW8vPphnI60Vvumriw81zeMLaEeaw/sGkhdiIYrqMLeKcPrNw\nk/zWyYbPTb8nR4dcyZzbA98wWduqBJwYc4ge8rrSAexNMEhsB/bW7yrqj2kmFkC10GVoW1bAluWp\npDiffVCSz5XwL88PUyYL52euQu+jM6XCF5OqWpn+wz7msG0WfEO+4mlODnU4otAuMdx7PzCsDxqI\nhXulzPd4SLNiTisL2gF4hl0+6l8FL6a/XOAQ+LciUMqS8X10uYrVCET7VsUsWxto9pmM3weRTdF9\nTwQZ98XE3gmoSj0oUGuGU0+OYngLU7Iz2gTtZ7egt8oVdWKuYco4+qMoKMCcnVaYXS8ckxbdoI69\nxWqLo1jpch2bJ9ihkYMD5hvH4g69X/RHo3TsnrqItidTkDB4FlZv3YCeZlrosGMyHOna2rk53kQX\nYGbvUAwcCbiHTIR6ldYYVdANUxwCoGn9E8bRX2M3BbR3KXht3KLHfPRbtAorXLVRLSEGBvOGYGWH\nNphx0BNvGT5IdXV38u+4tagBTiw9QH0JxBiXOjixqK9UC8KMFLOVqQgDxkntJ9IiQngITSYbY4tV\nBmatfI0jz/eipcprbByzkPp6H7ETfsfR+RoIXNcd0yv/jpY5L3Gx8QzsIW2K7tabeD2hA4aEzYEd\ncbQ0ehACD/SlXvJgt/YmNo8ZiS6OwRhWPRGX1zEuIdzR00kPl1YuhNfvi9CcjO9ddzTB9UspWL1n\nGMOuXMiLvIaZ4nHqPzkX27fOwVXfAxhl0xmBLuOQdXgl8ndewXra9orx3IQWi64DViRk669ClXO0\nNUz8v53gjGMHHEusxzQoVDFHvwlNwBvejq5IIzZmCCrZDEYdJpMC8+LEzDkijOfstMESYy9q6yG1\n5Yh1etNR8+kJ0Xh0W4RL7svBe+mJ0bYnRZXF366+bxW+fv8p8Aou0FzeQwuWsi4J2y+34zV/OnTE\nC1gmbZ/e2JUDgbMcObmL9PAneNkwC0s7jUSbyX1hnP6UxjIdl0J2sbaIzGZogURYpP4Vhgy88bqN\njfdaYw45aqVNVTYwWDYa4UTxhrD2mohF9BDA+BjbOGEOnIJI8Jz9MxbrHsRw9q1TET2J5lhEoSS6\nW+G4/QQu0YJcf8MsuMEFDkRbWdOIBuEK/jy2E5F3NbChKwkSCoNiujnp8djnfRDNPzEgSTQvZFHw\nmemC5/PQwYh58GG0fmHw8CZNl+ZETLjbG33M8+AxdRVMTvrBWe6+5cPv0l2MWOTG1iv84uOu62q4\nJxSAccggCbxPKajeYyEW9jaXJBX7lfAvyw9zT0wYNQoXgnLRpeZ1DF7J3O9MG0uwdIXoP6z/5Ay4\n0b0iEoK+Pl/8t1G4diAIMetGo6Z4i14Y6425C13w+HIsGrTfh+kuleBM/0WaajpkW6uKa97nseHA\nI1j/+oe4nyXxVQwGLoFD4D+HwHdthC8/GgJypxCLhJRsqGgaw7IWaW+KBcaFRCr5H9JDNbVimSUm\n5KQm0dt+GtAvw/s549LhAxl+aesxXuMZtwEqUJOuc3xyGyGANrlQkA3loy1AFvGd+3/2rgSu5uyL\nf18yklRIiEIoZMmQsYydMbYxGGJMY2QYyyAMNbZkGWVE2U323d8+lH2JsWbJUiqEiixFu1c9vf+5\nv7f0Xr3XKsK9n0+93+8u5577vb/X73TOuecQ3+WIbxaaQC+TsCq5PFxnx0BChxLKD5eSY/xQpMYk\nEf/Gaq9nJVEKySDR1aPwDzGk99GDST7WIlunEWFYUgjpoKunJziXM9oiMeGWRNhom1fJQNaL7GvJ\n2kPzfQ7j5GuUbVvWPdRMTVOtOHA5TNfXRoK3zDTO+kSfmAnrg3Z4RY7sysdCMZjmFROmim1lYS/0\nDPLxkBKdt3TSLMXAGIYUHuVBeBSdxzVELStzpSDOnN6bjnyF874/U10s5rV0xjenfeQmyFhscDtJ\nL/IBSgFMwVpun+zQxdBYRxx2rEcO+qfxzZBI7BPmYCPzR5eFcgm5H4uKDWyEgx7MV3BzD0dY7tmK\n1mqm0vzRzW0NWdtLRJ/GijAr/Cb3ZWPf7RdJpej5pah+4eFg7m+m1eugotIPUUZBhPsYbDQdU+N3\nkNhagELfxZbHm+AiHSBRLVn5UW3Ly3VR8XVn3d+I7vsHugiHYeScMK2q/AFXuaTKZESFPUJSWUvK\ndCDXmBYWr7wsnvfhCBQjBPLjhF+sTZDqmOqiQpWaFLXdRovwxXrrCsJRfoQvNqqUsUmuwhfrx4IP\nmgjCF7tTFb7YvV424YvV5o22LsoQXSZ8sVJw4YuNVseAvVhCgsn0FHQLD8nkY5KTEETCF/u7ynjO\nKnwxyjmtRdYm00owwYKd7FMUKflA5TivomO2T/W1ZGvWWpHDOPkaZUOz7qFWgtkaShhSgNENhygE\nxGvmMkjC0TPcOLETdRpXFzDMNoDmVQhfrC2/whcbU4KEL6a9Yr5JllY2dJIuU/hi7SLznljd5SLm\nHDiPY17TkTBnhtL/K/rEapynwxMK7Rfrn9dSufck9D2+CHspBt6SsT74bc0gpdCXX7osOKsNhXZh\np2yZaf/crg04+uoY1nh44WiQzPmfteSXLhuT95KMPe5rYWplqhzCvtvsnwf2/alsaUV/Z6yyCV8v\nyPTo7fY3/q1fBkfW7c939oWEsHNYsvk0gnauwPKtx/GCPThCyc6PoiUvn0XFFzMleh/XR1NV4Ysx\npPLdVrmkhjKoRs+lQvgqLF95WTvvwxH4mBH4iDRgHzPMH453FmNrw667KEtxeeLJvXhw/6+UL88P\nx9WnMXNC+CVs23UMz8knK4UE8Cbte6B3uwYfHF8WFDdZtyIslPkWxbjmdw01u7fOk7O45t0RIyr8\nKUqZWpBgonjtvgu6mmYrKrqyudjpyys30mBnZ6Fp8vdeV9z4UQCQFh1MZ6XroGGWk9uKdv7JEeAI\nZEcgPxowxV/S7FR4zSeBgI5JUzhqirv1Sazuwy7C0LIFRjq3+LBMaJi9grklKqjV66EpCV+FK3qo\nZmmZhcS7oJuFpHBbVHRlc7HTl3Z5CPmhibOiqCtu/CjW+EWV+miouOGfHAGOwDtH4CMyQb7ztXOC\nHAGOAEeAI8AR4AhwBD4IAlwA+yCw80k5AhwBjgBHgCPAEficEfioTJDPg85i5+7DeEAnIUuVb0SR\noX+G/qXdCLb+Ht3kKVPe9WYmx0ThCcVBqmhhjnIfFVrvGglOjyPAEeAIcAQ4AhyBd4XAR6EBY06q\nm4dbok6rXbD+YSw8PD0x3aEmlphVQsN++2FSMX/H+fMKXoTfPFQZ4oOb1/ahRwV7+MeoB4DMKx3e\njyPAEeAIcAQ4AhwBjoAqAsVepyOSRGFR+S/har8Qj+J/Vp7i0rPsiPkH/8DWBdXQQC1+kOryKKsQ\nxaCS0BFz1RAA6j0030nD96HBoFs4G7uDEuCK0K1qMsxqL9GYCFszBV7LEeAIcAQ4AhwBjgBHQDMC\nxV4DdsVzCFxF9ri00kEpfCmWoqevB5suNjkc+5fg+NjB2BUtSx6jGJeXz/jIuxQBvTNqyXMRlv2y\nB9pn7EJIkjQvw3kfjgBHgCPAEeAIcAQ4AloRKNYCmE7Mf3CadxWtVowQUq1kXcUXNftg80+yBMJZ\n29h9ieiTsN/VFl3NKRVPPsuT4GvZR1BibF44AhwBjgBHgCPAEeAIFBaBYm2CTKH8eLchxY6OddXW\nKZFIKNK6LnRMalJoUc0ljXKWDaPceyuuPlFLZKu5d/ZaIeFt1mrpBUS9pox7BorU3lk78HuOAEeA\nI8AR4AhwBDgCuSNQrAUwaclStILWMC2bySZLmDxltg8e3DkK/6B0jNl8BfN7qwto6eGHYGL7o7D6\n9L9/xfan8VqR0Hl1CZV/PwOfweohB9OFBMRZh9VFpfzmOcpKgt9zBDgCHAGOAEeAI/DZI5Ap2RRD\nKETpqQJXUhUuvzDvAC+f5ljb0gpPvU5nE77YgJKWPRETegzjrbuj2eQ1GGaln+/VlTWz1DimpAov\nGjvwSo4AR4AjwBHgCHAEOAK5IFCsfcBK1+2AEbiCRXtuqC0jKWADJgQlYsxXNdTqVW++qNICq8P3\nwKe5F16oNuTxumbzzpTA+gQeSGRO94nXfXFG5ztYGIjySIF34whwBDgCHAGOAEeAI6AZgWKtz5Hq\n1cbfQfsxmk4jGh4aixV9rfDqmj9uvTGDY49RaFirrOZVyWszTNrAtb8XjkamwSGfjvhvq3TF1RXH\n0czBHZsHlsMCh3PYEXoA1XKckTdyBDgCHAGOAEeAI8ARyB2BYi2AMfZF5m2wMuEF5kZG4FmCBGU7\n9MY4E4PcVyb00EX3pTvxRjf/pyDZcKvBCxHZ8R4ePk/D/57+hqpc+5VH3Hk3jgBHgCPAEeAIcARy\nQqDYC2Ay5nVRwdwSFXJaiZY2qZ4eChMn36hKHdhW0UKcV3MEOAIcAY4AR4AjwBEoAALF2gesAOvh\nQzgCHAGOAEeAI8AR4AgUewS4AFbst4gzyBHgCHAEOAIcAY7Ap4YAF8A+tR3l6+EIcAQ4AhwBjgBH\noNgjwAWwYr9FnEGOAEeAI8AR4AhwBD41BIq1E/6roLO4GC2FqVFJvImPg9jIGt/Y1fogeyBKeojt\ny//BDbEpeowYibZVPnw6oueBJ+F7/Rlqd+mLtuYfnp/8bkxRYPo27hmewxhmxoU5esFWIkHIif24\nHpGKasUY37Toe7gZFYf09HRIS5ZEGfpJT0+hHwj3+vqV0NDGAgX7oksQFyeBcR6wLDo+xIiOfIr0\n0qawyPPp5/w+ifnrnxwThScJUlS0MEe5ggGbvwl5b44AR+CTRKBYa8DKVDKH7r0d6NTpW1xOM0JF\n/ZL0WvwQRYL9wzvieMOesDqyED0P3/sQTGSbs2wlYzx0Go8Tz95ka8tfhRg3/QOQmL9BhexdFJiK\nsbdbM9StsfydrKVclfI45zQW5wuNL4MqHoe8VuKuWBbYt5DgyYeLceDXzui05Rxek8CVdHUd2rZt\nix23X0NEQljkqSVoN/xf5PfpeBv3EBdP7MYfhpVgsSEwD6wWDR8ZMdcwrcdQbDh+FPMtLWA4aBHu\nvVP88rC0LF0i/OahyhAf3Ly2Dz0q2MM/hoDnhSPAEeAIFACBYv3/WylKtt2xU0ta1iO079gKTfQ+\nTBR6keQRjvjVwzCfVmh9OhSDdfMah6wAO5KPIfpVmsLBowe25GOMpq4iPMPOBefwRzs7Tc1FUlc0\nmOqh05pt2JpSAzmH6M3LknRRyaYjfp/dCzvz0j2XPjpxt/HjzI048uvIXHrmvVkn5iL8Gi5Dgnsv\nYVAczlDgvCH4zbEHrKim1VflEVwqJd9YiCRvkKpfHc2HlsM/pUrmylBR8XF5zo9Y2nM/EhzrAY7f\nwdzQFk3Xt0PCqKa58lQUHaTh+9Bg0C2cjd0BW10RulVNhlntJXgUNwnli2JCTpMjwBH4pBEo1how\nhrxE/g+mKAfV19u4KNwMCMDtyNfZNktTW1JcDGKiYwTNQHz0Q4SGR+eoJch4GYmt0ldISUyifhRX\nTBBbk3EvMABXgh4otS0iSRJiYqLxMkmCVOLpQXR2fjIZlOBZ2E1cCQzCa7W1ifFQTje75iJZaLsR\nFKHkl6XL1KMElRkxua+DzZ1MJquACwEIjYzEAwEvMrXtWoZlr6VITBIjSZzJTBphE0C43o+RccLW\nFxsdjddies8nxSIsLBwv86CRiA0PJjqBeJyUqS3QjGkmOoqrrDzktHeMP52qjdCmnqliuIb1ypo0\nPReKQYxOVFgYnhIeJUuVUVQLnyJJLIIJkxthT/OojZUQpmI8uXkWoFRWVZGax3Fq02q8eXT+Gjo5\ndpK3SRBweBPwSwdYymtEtDfVrCprHJtTpY5JfbRvZQfburYgdnMtRcNHMh7cp+fuz5N4JXBgQAIx\nBVQ+dF1+nytb77xDfORdgLJy1CLhi5WyX/ZA+4xdCEliWk0JVL46Qjv/xRHgCHAEckKg2AtgOTHP\n2qJPeKJcdQ9E0nXw8j6o47JXKRBpa3tyfBUsrS1RydAQc/bTy3TXFFQyGouLGswJIskz7HKfxahj\nh/tc/HPqEXTINDLK0Bw7Hqch4/4+VDUahgtxUrx9eQMzLG1Qq8tvGDe4GZpYV8eKoAQam7XEYvOg\n2hi5LxwZjw+jegXZeOAJmX2qwovoppxdSDxNVpqsdOJuUZsFZl58jrjLMwR+HzGyJCCcWT8DLmtP\n4c7R2ahkPBOPMmUotYmjyXzS3N0fuib6uLmwA5psC8VT/61YtfcScOcEVs6dhXW0PlZCd02HSd8N\niEuPgadlVXj4PxHWN61vI1Q3NUTZCRsRcvMQapkaUdtjYUz2X/Hwc+mAVv9co6ZouJtVgtuJx9CE\nafaxmnnIae9EcaFY2M0aFtXWCC9pTetl82h7LlhbYtBetCrfGTvu3sPZ5U5o5rwFxvIM7GmRp9Gr\nfA+ciE/Do3U/ovz4zGeNjdVUROIo7PFwgXUvd6DbM6yYu06DGU2MZ+HhCM/xJ/s/CRa9/8BPykTz\nz3F2RQz6d2yk9PfKMG6KEd1ra2IrT3XkVZanfkXDRxn033gBN+4OkWuX6J+aYHqwuzT8YNqmJ8Hs\nOc5SRDLdV9i6gTA1mYmoLM38liPAEeAIaENA0OVoayzu9Tox/8G6rxsORsSjnTH9V2p3ALFGVhjW\nshF2t36mte1//V2wdoMPdv9yFAv716VlDkAtNECnIdvx3PdnqLqzS3Urw957FbZsmITfPN1hp5uC\nTS3bQ+dgCGa0Y5qW1gjbNJnSFm0Wxq686oWtdv74M/4RRhw4BcPq2Y1hzw64YsyRaXi1vY/wsrw0\ntSFabL+OJAcRLtJ/0uObt0R7Mi8udqmB7bf/xGw7Qxxz/QH/TCNzzKg2kIYnk4f1YtLQSGFCqcYv\nvfgRx7z7kmDTChudh+Kp2A01NKRNenF7B0o33oAmVjb40vMg7vskwKzdECyuIsLaI6lwdR8urF0a\nfRR2w5bg36fxaE90ulxcAMPWOzCaTC2rNnpiW/P7NHYi2Oqf1zdGpZb2aBF+Ee1M1E3EMX5zMfBs\nPzy54CCYwb56ehgGZvZoH3ExC6bq49hzp52HnPdu7sa/saR5ApjhLFLDenN6ZnZ1TcHolsMw+OJj\nyj9qCPRugaB5uyEWdFYkNDcYhFKbr2Jc52pA5z24bmiNEy690KeKdjOdVK8Ghri6IXnRdryZ7o5J\nNvpseWqFCaRHN/uQoV1PrV71JpmykI6eNgw1tHxjpZF34I00rG1opjrsvV+/Sz5KmVSj76WsPDvg\nDhe0x5Ffvnrva1JMWLJU9ucU0guIIpVwvYaD4DS/bIGydSjo80+OAEfg80JAy5/z4g5CMg6uPA67\nli8FnxczpbBhhPZujeDyMAYp1clcQP4wmtqAKkh4JUHjOpkvq4ZdxwN/+SIoyQHNlPTkOIhlprN0\nMr3p4AH+F5SE9kaZL0uT2g2B//wRJnaAdQrZbGxa0B9iPdTo3V0DkGJcOnQYyHiJhV6vhFfutXlR\n+NqrJDIMGmHv2b3Yv2kaxr1OwTXpG/Qj7YtI/Ah71sdg1tnGAj2RpT1evOgHPfKJC2JairbVZfMw\ne638P3INE8Oi4x8I69QBhk7U2mYk9i2dIXQTM56lqYJZkwmf4lfPhfo5cz1ws5wIqeJooJ4RnpEC\noiTrW99UKaTq17JDb4TiwsPXJICpesKIEbBvH+o67FX6IEl1S8v63nuN9g0zMYUGlzrtPIhz3LsG\njD950bTelKgdWp+LNyG3cUD0DcYpk7zrwdpGDxFETyfpCc4QRkfdPeD1sBpEqam4SYJZlVdv6HHS\nLoAxVnRibsNF+iVOVVcV7eVM0odUlwlp8zMrCnD17PZ/wrpsLbILeIxcethetG+2AMZtNCf0eoFm\n2LRnFuoV0s+yKPh4E7QJVg53cDDcD63YP1ofqKSnatII1kWlsnooZ96P/lH6QIzxaTkCHIGPEoGP\nVACLQ8j1GBLAGOYvkCKhP4xyv4yU+KeAkWIvcmpT9JF9StLThAtpLogo21XeuVLhOimTYHAqZOJF\nZlXmlS5Mq5UCJv4GF6eOsmonZ0gkEuElWaftL/j74G0saVcJu/z34B7pX8QSEWm6dJCanmlb1CNH\nNBoiK5kyR+Y0Gq5SSjZGSEQ44u4F4/yWGejz0w7STg2HbknZS40t477/BRgYMYKt4THdWSmMTpkm\ngYSwSWd9gzUQz1alizIVdBGSqoqECmjZ+qtXiJhzm0YeUnFWvSv5CWreO03rDV/BBmt+LqQlaV+0\nFMW+z1ozD05MO0ZlvPPMzD3QMo5VJ4RdARr0hTUJ9vHke/eFublSgGXt7EDC6uleCM9RA2aBcbNG\noY5GAUmCO2d3kf/XX6ip5fktadUX5xP6sumKsLx7PqTRpzGg1R2ce+GHxnqpdDrzLuw6N1GaWYtw\nMdlIlzWzzFbHKuQWao1tvJIjwBHgCGhDQEdbQ3Gp15W/sxUvQMbXna1/Ya9NE5jVaISG0iMIe0pa\nCCoiyX2s9YzGyCbm0M+hjfUtVb4E3M8oJAkJLm3xBkY5aj5pKWeC8SDVs8IoexNsu3yPkRFK4L6N\n9PL7CTb0clQIM5p1Hay7Luq0/glYtA/3FAJU2E7087yKsJMrSV3igp/bMY1WLC4HvaEX9QucOvwC\nXUabYP6iY0rn+yCvUVhyh5naKHiE4qQa45MOC8jEEYE1tV8vj67GvheGqG/XFiO8l6Ft8EtBUJQJ\nO6C5xDi/NxC6tb9EezKG3npMtIXyBHN7T8NDBb/SUOJOVl5fPyxojbrUKyevUXzool7nAYDrDjyS\nV6VF3MIBtEA71lcFU8UI1U/92k218CDNce/09GXCJJNDNK23ZI2G2p8Z61YYLD2OcyGKwxNxCA0i\nAZhkSKlefQwZWhGzdl9VshnoNUTYA+YTOKHHOJyNVhU2ld0QcYU0ng5fwxC3MWn2GcGgmdnKNGCV\n0WvMJIwZM0brz5QxfVBNo/BFzz15Hh1d8RJDun71TgWTkkQZ8fGqrCLafxn6j9+s0dfpXfOhE3cN\nRta9YbfnB5QMuYlLfj5YeS1JWKM2Pl4Sf/1c9mVx1E8mX8SfMNvvvtpa6EhKLvUhav1rNu8MBJ3A\nA/YPH5XE6744QwcrLEiw1jyv2nB+wxHgCHAE1BBg76liWyL8PDFmzl/EXzqmjx0P6wr6ED8+hx2+\nt8lkNwwZxl/hyMX1GGzbEbc9hiB5kyverjyMv9pVRQadN9PWxv7wCmWmGyajFyoFbcdsTMEtz67Z\nXmAi8X0sHDqFzE//4UWHX/Hn1qX4fin9ER7aFj+ETUA7nMG0x31xe31P8s06iqG/upC5rg5+GZ6I\nWUtdNJp0KnaeAv/FzmhKzvdeKxrh2KFXmO0zAFYv/sB3zrMw08sYZZ9FwHTSD3Bt2wpjNl+H+9wz\nWD5qACoNf4glNok4ndoHMx4vxZfOl8jk6YJ5JmNQ7dp24iYYZ7o449DeeRQsVl3jVNIwBX/aOSB1\nxXdIObMDzbf9LTg069RogcEZXTBy/E0YNv4VQwyaYufVLbBvZoFgD08YXz8Jk1leqENPyxt8QRLD\nRjQabibwMc71ATbfWKPUlKk+TBU7zxTW2ajHWHj0rIgtxOu6q9vQWvcBFjqoY9rbUt10lmHwpRYe\nRLjMJtGwdxnkJP/bhPVk3r2NCSttMVbDeo2M62p9LthrdRHxZ9+sO+K8RsCQni3mV4VO3WF99Rh+\n8jiGRUPbocH48fjDLBKnMRirbA2RSqdo157bAMmNSYQ5E57VS8UGHYC16+F0Vgz7pd5Kk2xmLz1U\nIa1Yfgt7Nv8euwBhSUHYQd+R1ptd8eu+2hi71Jm0RTJBNL80WX9m8l7iPA3HrjwhgWMqBoU0R1+3\nuehvZQhx1CMcXR+EiHk/oZrcVF80fIjhO9leYH9h385YKF/I6B23hStNfLCGpKi7OL6KTpq6ywcI\nH4l46H8Kl6ymqFbSdc71C8+2wITudZX79bZKV1xdcRzNHNyxeWA5LHCgv0WhB8g7D3iocd4s0/Fb\njgBHgCOggoBISkXlHgsXLoSvry9cXV3RtGlT1aZifE0Ru2PiUMLABOSOkaVoakvGlpbWiN8Yht8t\n0vFCXAoV8xDtOwthCjURgwRyYCrIWEZLJE4SQlYYmxirCH4SJNNa0mgt5WgtYjrbzsyNiiJOikOi\nRK9Ac0qIli7RZFhJ5fQVdGkmedRzVYes7NhJgtag/HApmS6HIjUmCeq8Z1JTvdK8TtUeOV1n5SHv\ne5fzerPSVeVB3mZMz5MuCyPB9kBPuUea9r0ECX8rwq3wGwn/mgrbtze6xsKeamr/mOrurPsb0X3/\nQJcP6I/F8CpaPmKxwe0k+rkOUApgij2Kj76Hh8/TULF2fVTN6i+q6MQ/OQIcgc8SgWvXrsHNzQ3d\nu3fH5MmTc8Sg2Jsgc+Re2ahLgoAm4Yt1yN6WEn0fEUGpmLfvFJ5I9AskzDDKpegFXVDhi42X6hnA\nRE34YrXkO0VrYcIXK6rCl3BvYFzgOXUFQU6Gh4K+MInwS49SzqgKX6xSHTsWHyskmMwyQbfwkMJu\nZOc9k5rqleZ1qvbI6Vqdh/zsXc7rVaerzoG8TZB7dWGgInyxftn3PRl7Zq+BqZWpOhmVOz3at+yY\nq3T4SC51kq7D+7g+mn5g4auo+Yg+sRrn6XBN9jPM5GJapQ5sbW248PWRPLOcTY5AcUXgExHA8gdv\ndNh9VFq7AgsrvsCtpyrO8/kj89n1fktxtq7E2GLtmha4cvy60h/tfQJRHPdOJH4J46HzcwxH8T4x\nKsq5xIl6GLdoxAeLxaVYW9HyIcbTtHbwGFxPMR3/5AhwBDgC7xyBTNvWOyddfAnWatdPGV+o+HJZ\n/DjTMWkKxw+UBkaBRnHcOxbrq30rBYef9ucXVeqDgq588FK0fOihaffWH3yNnAGOAEfg00bgs9SA\nfdpbylfHEeAIcAQ4AhwBjkBxR4ALYMV9hzh/HAGOAEeAI8AR4Ah8cgh8hibIeFzz24fdR28ghbbT\ntHl/TBzcEP7r/kNzxx5F7NtS9HOzZNH+xy4jtUwZlEpPR1Iaiwr2BSrQia2mVmbKk3yf3JPMF8QR\n4AhwBDgCHIGPCIHPSgOWEn4K3xlWx49nS2DIjLnw9PTADwaXKCm3OQbczKBAmUVXCjt3UlJeDwuU\ngpmxBJt6fY8h52NhVt0MpmVScHBCU5TvsYzCuvLCEeAIcAQ4AhwBjsCHRuCzEcDeUC68yrbfo/6O\nqwh1d0Bdk7LQpaBY1r2dsLlHBfzQtVGO2iFxngWg7Fta2LlZVPxt0zblSXiS6hrAqlElSmuTgekO\nvWBrY4tm7b7D9FkUj+TcVBwKSsjOIK/hCHAEOAIcAY4AR+C9IvBZCGAs195fzUYAk/bDvXvtLADr\norrtt+hYt0qW+sxbkfgWHL9ZnSW9SWZ7TleFnVtGWxelSmvPU5h1/le3zuO26Ae0tMhMiPT6JUuv\nUx/mlTRFNspKgd9zBDgCHAGOAEeAI1CUCHwWPmCPfZcLKWU2OX6tEUvz/hNQ3YJS7Ggp4XtWI+7X\n3wrkH1bYubWwlGP1vXO+wNcDKYH3WzDN3b2zm9F6oDemUZLvLiYFT1GT46S8kSPAEeAIcAQ4AhyB\nPCPwWQhgUSHXKcm1K1qZqwpZEkgkumSGBCpYWmkFLNxvHmzHVEVwXCOtfXJqKMzcmXQVWbAza7Rf\nxeLK/ruwaJ4IX59luHd9D5btvIkVgTH4yVJ1/dopaG4R42FQBCrbWFHSbl44AhwBjgBHgCPAESgM\nAp+BABaPu/spfc7IKWoarAi/lZiz7yKCd/qSue5brA3wEZINq4IZ4PUzOs3cT1X1MXvQBTxJUEub\nqdoVcediMeziMTjaqLryF2xultx4WoefcaN8Ofkcr3Hu3B20ub1XOee5VzY4d9ojW9Jlnbi72BaU\nDJetv8sFrpFo8tQa7mdC6D5TiAz0+Bmnui7DREomnVmSsddtB752HQbVpDoZMbewZuEM/LGqLR7F\nTeICWCZg/IojwBHgCHAEOAIFQuAzEMCM0Oj7ukDga6QTRIoFW3Qfi3XNrVFm5yGsubMd/c2zu8PZ\nOW3CnQaeaPBDPKZun40a+Ya4YHNL9Wpj7sULKrPFY7XLbvR3H6YmRKp0UF6+Cr4i+H81NSspr4vF\nvXMpuNeFBd2gBOCUzzEyIgR75vmhQpuXlE7IUEWgEiPxjXyYyoeOSSP8Nncuzpw9plLLLzkCHAGO\nAEeAI8ARKCgC2aWOglIqxuPqdBwI+I7AoXCZECJjVYLTC8eRRPIbmmsQvhTLseg8CUE+rzBg5S1F\nVb4+CzO36kQsN3deDJH3zq0DBvRAPT2Zr5dO0nNcItFzQnMrsATG/xwLR1LIGXiLhqKxvgRiNaKy\nDOAKIVV1fpGYia95PwigOpZfcwQ4AhwBjgBHgCOgjoCmd616j0/gzthuOAI3v4CtbWX4TnNHz2o6\nuH7mLN5W+x59J36Narms0aLXCNTu6ItXoxrlqoHKSqqwc2elp+1eGnkOE6d44IpvJOq1WYsxHl/A\n3bknDPXKowVK4ui5fViw/jIaz1+NGg/PwcZtIDrYWhO5ZBz1mgffZxnQp3OeK1bcwjXco2sg5U0l\njPJwUgpzQKq26Xk9R4AjwBHgCHAEOAL5QOCzEMAYHpa9pyHxxe9kfotCHBndOvUbiXIyhU+ucEn1\nGmHdMSvksXs2eoWZW0ZMgtQ3OQs/IvM2WLy5jdLGyhRbbHOlujUwNeERfg57hKSyP1L8MxEC117G\nT/2H4sWFw4ht9C26Ov2FrsJE8aiH3eilwdQp1WMmzVIq5kphAP/FEeAIcAQ4AhwBjkABEPhsBDCG\njVTPCNWs6KcAQOkZFFT8kk1WmLnpnCZ+nueYuwCospsql8RAGVq3jXLVpatZ4PGupfCp1gXTWqmG\npZDZI2W/ld2hE3cPuzdsx+M7gXD3Mka/n+zRyEThY5bZj19xBDgCHAGOAEeAI5A3BNTf03kbw3t9\nAAQKKwCqsmw9eC5mJolhkE2opICvqh3l1xnGddCXtGR9nTQ08iqOAEeAI8AR4AhwBPKNABfA8g3Z\npzEgu/DF1mWEgWR+5IUjwBHgCHAEOAIcgaJF4LM4BVm0EHLqHAGOAEeAI8AR4AhwBPKHABfA8ocX\n780R4AhwBDgCHAGOAEeg0Ah8BibIZNw6cRbP9Y1QjuJhPU8pjZadm6OCJBb+xy5D19gYb+JSYNG2\nE+oYqDqkq2P7OvAk9l1/jKpf9UJXm4rqjUV0JyIeT+47iodpFdHLvgtMP8BuvY17hucwhplxwQ4h\npEVew6p1u/HgVQpMm/fHYKvXuKrfGj/YlC8EarHwGTQbTXy80CyHPSvEBMV2qEgSj4jodFQxN1EG\nFS4os4/9t2PV3ktIobOtbYcOR7Wgs9Dr/QsaFxrTd7c/7DtwxGcF/EJi8LZ8I4x0aIagkFKw7163\noMtWjpNGHoXj8hSscO9T7E73Fs33Rrn0fF0UZ5zytRDemSNQzBD45DVgIokEpU2MEbp0IDp224QM\nIyOKBs/CMxihepl4TP62Gw69LkHnBLOe/VPfqTLVKiLOZxr6H3+g3vCO754EnMU9sSzlEeOxlmkS\nJoyagfvyunc8XS7kxNjbrRnq1liOxFx6ampODNwEkwYrYOMwBd7eHvjBwB+NOg1GifJlNXXPc92z\nA+6Y5BuW5/6fUsc3d9bBxsYS/yVpT4uV+3oluODRFw33ivC7hycWUay3t8u/QZcxyTAvtPAFvKv9\nYSm5ppe3xuXq38Pd2xsLHKww1bYd1r8uzNoV6CRj15SR2HM7hrJBFK9SVN+bgq2y+OJUsPXwURyB\n4oPAB9CpvN/FMyGmjm1L6HbpiKmPW6CznbX8v11dVG/3HUaMfo1egzvkGmD1C0rH02d4a8xKKNrw\nC09PHUEu3xg6AABAAElEQVRcnTaoIyicdFGjdRu0F7F8lB+i6KHTmm3YmlID+ReZnmBB24lYHPgU\nneRJwOv2tsevNmloUqXgGOok3YKbw1oCQ4KA+4loppbL8kNg9H7nLF37e+zY3ByNCiEopYftwbfz\nG1CC+YGoKrBfGX3HuMC7dsNcvwe5rfZd7k/oNuJp0j4kdG8om9ayDWZO6oXLdtVzYyPX9rgLq/Gr\nbyxAofOKVyma701B11h8cSroivg4jkDxQeCT14ApoE5HknCprudid6Xkui8J4uJiEB0dQ/cSPAsL\nw4Po14rhwmdKqvp/3sw8EhwQgBthT+U0WDcJooICcSUwCJGRkXgp11wlR99DwIUAhFLdg0h1uopJ\n3oQfhdO8QIjeJEGclCSjKWEpgICSuhLEhmfnic33LOymMN9r9cUpyAr5H2Ojo/FaTJmXkmIRFhau\n5EvR6W3SM9yktYSq8MbyRupUbYQ29WSpuZPi4sDoJErExEs4nibJeFPQUP1kKZBuEm9sLZlFFw1+\nbl+gOGwKGqfnrkDbk4cwmAxwBdFcaFpnEu17DO07oxcf/RCh4dEqtOm5iJE/F7TuKHouImJU1yTj\nLI3GBRB+92PUuYqPDKb6QDxR0VhpwzH3Z0SC15JyaNWuMWXwpEL8xMRE4yXRZs+isK9JWh4CGZvC\n77cpCaQCfoM3Kl0l6V+gfxtLlV4Fuyzs/mTOmowre67Qrfozple7Nb4yK53ZrQBXIslduM0Drl38\nBzi3FyEqe1MAcu90SFF9bwrC5PvBKWs6tIJwysdwBD5OBD4bASz37YnHUQrBYG1tiR7DJ2LrzWAc\nntgYLb0uaRyaFnkavcr3wIn4NDxa9yPKj99LZjox/Mb3w8rgJPI3e4apNo2w9PZrRPvNQ3N3f+ia\n6OPmwg5osi00G02R5Bl2eY/BbfyH7d6ecJ27SWmKNJJexIyxo7HhWlaeYrF5UG2M3BeOjMeHUb3C\nMFyIUxcS2URvX97AtL6NUN3UEGUnbETIzUNk2jSCh/9jgY/08J0oZzYUkeQNdGhKY3ztcUoQ/kRx\noVjYzRoW1dZQkiLgyfFlqGltjaptfoGTbVPUrbZEq2lSSimQGpOQ5NSyBroOd8byrccRJa4Ox1Ed\nCuy7JAnaBFcMwCDSgJhAB89jNAuywqI0/NK2zifHV8GS9r2SoSHm7CeBetcUVDIai4sx7OUfg6Nz\nZM9F+QpDcOTuTfzTqxbquLD9lpXQXdNh0ncD4tJj4GlZlXB9IjTc9GgI85HnIUoJxAAzY6wKeCHU\na8Lxfh6eEZY26rz3L7Cw6IwrJDSkRV/E9F6NUMvMCN+MWoqbd/3xvVkFbA0jASuHUkKfxDfpajQt\n3wKOLu7Y5x8KXbshcGolE7RzGJpjU2H3R514GTTv1xHw/B6GLQfC1WstLkUmosHgkYX2+7viOR/V\nFoxEnZJp9B+JIf1zoz7zh7wriu9NQdfzPnAKWzcQpiYzEVVQJvk4jsBHjAAXwJSbVwED53qiN0qg\njv00TOr/PX53m4mgWecF4UPZTbggwafBIJTavBvjOrdGH/c9GL9+BE49Csaq9c/xdYvGZPbshPVn\nV6IK9X9xewdKN26CJhSN3t7zIFwMszv7S3UrY4j3QTI3fo2Rc13h4T5aJQcjUNl+Vjaenh1wxZgj\n07DbuQ9a9P4Dl6Zewbfbr6uzSnc6Vdpg1UZPunDCfZ+J+K7/ODy/uAzzetnDP0aKqItHAFpPT7t2\nmLxyI279tRVhEikyTJpi7sa/BXrMaGjd3wWb25QDmo/Allc3sGlbR63OyywF0ozQo/h7kiOSdq7C\nn6P6oV6H+XgkUCvIr1ismnIVXnM70OAKaNSmDFbeic4XIW3rZOtaS+vqtvYKFo4agIHOm3Fy6ml0\nHbKdNGGVMdDTHe1J4NsYsh2/9u6PeRcvY+CKERh24D6k0UdhN2wJ/j0+C11adcPKiwswr/cOEs6S\ncPWvl6j5Y3s0a/cLdnp9gymnwgV+NeEYf3t7rs8Ii9PWc9p8ekZkBxi+MO8g21eiOmmxK/r3Hgqf\n2c0xyi84R1xKWtnj9pH1+N2+Inav+AtDetnBYett+RgJ7vqfxHH/K3ihoiHLkaDQmPP+MA3dWT8/\nnAkIVdEu5kzV+mdPHPCaQf/onMbimRPwjU1V7I8koUleUmMeIiRaXeOoaNP2KY08BI+n/THJRh86\n5S1JED2Mhy9JNaxSYsOD8eSD+Fwy39R3/b2hDK5FhJMKZHm6FIljcSfspVrfig0HwWn+1/SN5oUj\n8PkhwAUw1T2XpCAe1uhtK9MEiFOYNqkUpbJWLzpJT3BGmkoaMw94eXnA22O5YG57klwbM2abwZ5e\nFIakTRlwQITvmpSHRcc/EObUQagr23s9vupaX52g4k4sM7ekq78PBJ4G25oJvTJ5EuPSocNAxgks\nJB4YH/PnReHrUlm5lREXp1AuyfqmSoFJv5YdCZuhuPDwNWoOXoYzzm8x28UFzq4+9BZ4ijg5D8I4\nBX+UjDvx1Vv8TBog9qL4vnsTLdqseISHv8QXVZriN1cvnE+IR8iRhUDQOTJbyjR0OkkkxPTwUWqR\nlFNouYjx88LUcxuwfpITnIY7Yti51/ja8Au13oEeP2NRoHbtj/Z1piLhlQSN68gwZkQbdh0P/OeL\nIMYvMwOLWsG8rExwlpIRtctoExx5GA/xq+cCD3PmsufAAwt23wHqJeCZxADDH5/DjFQ//DneBZ7H\nL6CuoWJvsuNo2XFy3p4RuUlasfA36SSQNPBES7lPmG4pI2pSzKPolfn5Ni6KzKTpqN6qH/7yOUj7\nGYntk5rBd7m/8I9G2LpxWBlXFa2tkjG+96I8ayZy3p9k7HQYi+d1W8I65RAGkoY1txIbGY0U3Qro\n4DgZW32fIyb0NEbQug5ejxCG3j5APlyWX2JbVH4EMOZQPhbHruzH+PHjMe7PFQKtqFgZDaaFPrRy\nKmraOuJevoTP3FaT1/Z3/70pCpzYavL7/X0deBBThzZG+33qh5jK2fXD7FHfKP8u5RUp3o8j8Ckg\nUIyU70ULZ3oW/y3ZbBqSXJN2oUwuERekctRmrZkHJxvBGwfjnWfibdJDnGr+NyLDdRAceA2b+o7A\nxPqNsahOY4REhCPuXjDOb5mBPj/twJMLw7U6tjP66WGXcNf0KzRmvGjkSRem1Shx0MTf4OLUUbYc\nJ2dI6NSnpiItScKDFsVIgJcDOrnWwtGQv9Cq4n0EbZgESWIcxHqk7cpSUiGFmUn2etVu0shTmLDL\nBAecM8N1VGvUDA0hO0yQHBOF0PMH4WdYHc/j3qCscc4+PSLxdYyba4z7CQmQicbA8C/7oeWeO0h0\n/BKG5KsWGRGCPfP8UKHNS9KwGGr8g659ndkFFgkTbKgo9jrrdXIs4Vw5HaJ0liS9NTymOytNY1Om\nkReh7hPMtWiFw9PW44D3eOgHmKLD+XSkkr9ZCqWAyopjSsn8PSOMH1ZE6SQgBqcqPaXSaX9yKg/2\nbkBQN2fUlndih1SakjkZIWYoI76LqRMrYnpcXeijLqZ32YD/kUA7MZeDDrntjx45/c8wHYJQS3pu\nLEei1wInBIzvADu97JpgGVvPsG32Xgz2GaPcxy+q2MDWpjTCzGTav4a9f8MMjwvYktNis7TF+Xtj\nQ5cDSHBsJLSIxLcQu5P+iZEXpoXuOWomlh96pKh6r5/v+nvDmC8KnPL7/WV8lLPthXnTn+PMIXbH\nC0eAI8AQ+Gw0YFZdfwLuTMKRcNmLlS0+zp80KjW/VL7UoUsvYukr1iQUPX31F0RJ0D1pmKR69TFk\naEXM2n1V0RWBXkOw7FYkvLtvRKJJTYo19gOWHZmOqPA4vDy6GvteGKK+XVuM8F6GtsEvlS9MJQG6\nYCEzYtn8JIAlRzwkh2uq1MqTLuq0pjUt2pf533rYTvTzzORJlbZwLQ0FnfsSyuvrh3FARKEH6ukg\nwPU8+u75Ay3pdGJ66HmcIcNp+o3/wev8CygwIJaolCB9oDomQnWWX7G3L+D0/ZeyQwTyttub5+H2\npD/QijQ1ovQEnHFfi4E9a+NtokzVphNzDRN6jMNZinGlXpKxb+wsdN8yNnOfqEPJUsTH61RBAyfV\nFSEp5Ay8RUPRWF+bU2+81nV6n3+JUuVLwP2MQkKV4NIWb2CUI5oohATpBTJVyXjTSQrGtp2xmNDc\nEvq1m6I9LuLW40Q52yR49Z6Ge/cuwx21sGhSD+Fk4Y0tqxFEu35z70pcjMuOY16fEeF5YOuXbYhy\nfxQirPCMqgOocifGzT0+uBim6jv3DNsdNmKWc2eUlrxBQv2KJHxllrh09hAC0f7L0H/8Zg0asdz3\n5218IkzIT01WGL1kJAtkk+Hn8hNm+4XI22QfOnGPsf1/1xGpYgZMD/PD6OA+GNgkU/gXZF+1kZrp\nsS46cdcw2iUV/8iFL1Yn1auF9mSK3Ho9it3KSyoJx9rLS8Khn8u+LG4JinnvZxmYW736ugvyvcky\nocbb7Dhp38+84KTp+6tx4iyVYg2MaMYzy0B+yxH4RBGQ/xn/RFensqySln1we28UGtqa4LbHClR9\ncQSTQ77Erc0thF4iSRT+GeVMwkcwzgxfjJPO9bCdtBfIuA0Hjxr4u2EImjkfA2yeYI7Zesz0OIZF\nQ9uhAZky/jCLxGk6l/dPozK4mrEUw4brwL5lOZz0CYbb3rEouX8l/rRzQOqK75ByZgeab/tb43H/\nDIP6+GuSPro5jEd3EoLmrn+SI0/bnafAf7EzmpLzvdeKRjh26BVm+wxQWbXqJZnrpBvRaLgZltgk\nYpzrA2y+sYa0NmWht2I4XPqNQ2P3pnj4OANju4eizyBg16ma+G2CDIMJK23hiH0YHUQmvlFd8dZl\nPWb0rqs6gfL6xtEAtKJXda9Bl/EDOf9H73XBVtO/8chbpqnTr1KVBLn2GNKvPazlAk5qQjTWntsA\nyY1JaFulukArnU6FDh08GP8GpaFTtWPo59qTNCJinPGaimkzj1OfKPQengjvpRNQs2Jp2LgNRAdb\nayUf6hdGaKtlnXtDBtCRCSoz3TAZvVApaDtmYwpueXZVmlgpehx+HTAKMcOb4aLTVFRYexJu5LSe\nQWLhzqtbYN/MAsEUU8v4+kmYzPJCvToZ8LR/juGj3DCqdirCy/dB+5m94DJ6NVx3TcPALDiWNEzJ\n9RlhcbEWDp1C5u//EDl0MWmJ6sN7yDp6RjMwYaUNnOrcwzBnGS6zrbZgZvfaahCIxGE4cM4M+oaO\nGHqmO3rUTseBUbNQdUcA3JmWi061xtGI7PpAQBz1CEfXByFi3k+oJjd35nV/Fv7yBTKUpnHVPzmJ\neOh/CgvPtsAECqxaVs5twr2ruFM/GdM6DEKr4T1hlnCNntcEHApZhfokbGsvmulF+HmiwUA3GlYf\njf0d4dyuOmRYToBbEAnOTiPwZ4UNmK/leVadLynqLo6vSoXEXbVWNu8lqymqlXSdc33WdRfke5Nl\nwjzfatrPvOOU/fub54mzdNSMZ5ZO/JYj8IkiIJJSUV3bwoUL4evrC1dXVzRtSqaJT6yIxPF4EBGF\n9NKmsDbPNJEVdJnMpJQAA1QUIsUz7YsuCQlJeElOVGVMTAQTikQsga4eadxi4iA1MEE5us6psDAF\nUgNjlFV9V+UwQCSm+Sj8gDEFnNU2RBK0BuWHS8n0OZSccpOy9WUhJxjPxsSzLumu2Dr0tBHLgRfW\nFBMdB5MqxjRPFCKex5OzswVqVVG8XmX+I/2Hh2Lj9o44eUKMHp1rCxRLRJ/GijAr/Nauai4zZG9m\n/l/n+69C/2f+iG30LerJhYSsPTWvMxlbWlojfmMYfrdIxwtxKfl+ykYzU1XPSvMw9/kO1KUwHmm0\nh2Wz7SELVxGHElnaxElxSCIsTYwNhLAREnoQNMGa32ck67rycs/W/iKJrU2EZxRGhLk+mVavg4py\nrER0RGKi0Vw4xPrAlgSdiy7f46LDJkyUm9nvrPsb0X3/QBcan5/CHN+bjnyF874/0/chFvNaOuOb\n0z5yE2QsNridJOF6gFIAe0uYpdDzb0hR/x+ER9HZXEPUsjIXvkuq84atHILdLVdScFZVnV12eqpj\ncr8WY3MPR1ju2YrWCu1n7oMK0CM7nwX93uQ2uWacyCBQwP1k/l+avr+58QH6G9TyeBP6B+bTe6/k\nunbe4bNB4Nq1a3Bzc0P37t0xefLkHNf92ZggFShI9YxgSacR34XwxWiWMjZReVnLhBaprgFM5MIX\n66MrSDK6gnCTm/DF+htQeqS8Cl+sv1SPzadd+GIv3pBgMncE3cJDClOhqa+CZ5lwUHDhi/HDhC9W\nSplUQx0bGzXhi9VLdUvD0iAcq912oVyzWqyKSjL2kFnS1MpUdpvP36WrWeDxrqXweVhJq/DFSGpa\nZ0r0fUQEpWLevlN4ItFX2U82guKsPXgMfzotdz0kEiVoX7MLX6yfbH+ztumRICEIX0IXzcKXrIkh\nn/dnhI3Jb2Frr2jM9Fu6qGxpRRH1rZTCF6MlBZ3AO2yL2fP249qJpVhQehTGyYUvnaTr8D6uj6b5\nFL4YXZF5T6zuchFzDpzHMa/pSJgzQ+n/FX1iNc5TANhM8ZwM3eyfD8YP+aex72oDDcLXA/892Hj2\nAf63fAE2naCDD/KiiZ6iLffPeJzbtQFHXx3DGg8vHA1SP7GX+/i899DEZ8G+NznPqQ2nwuyn5u9v\nznwkhJ3Dks2nEbRzhRCSJn8nbHOmzVs5Ah8rAp+dBuxj3ajC8J1B/lUbdt1FWRMRnaisjcH9v8qm\nTSgM/YKMZUIh0xwqBE12Au3KjTTY2VkUhJwwJilJDANycM9vYS+pMy8yUDoxEeW/7oNvrTL9jEAa\nmyPrDiCxbFkkJuqj6889UFWTCiu/kxbj/kxzGfVGD9VV8k2mRQfTmdk6aFiILAaxkeFI1q0IC6U2\nVIxrftdQs3trjSb5/EP0runln4O8jSg4n1m/N3mbL3uvwu7nu+IjO2e8hiPwcSOQHw3YJ/4q+bg3\n8l1xr0PxvBxHFS+1P9PGqGo92Ak0O7vCrbggwhebsVa7fuQur61UwLeOjtoaP8l6prnMiscXVerT\nKdbClQrmllniPemhKQlf7668a3rvjjN1SgXnM+v3Rp1u3u8Ku5/vio+8c8x7cgQ+PQQ+OxPkp7eF\nfEUcAY4AR4AjwBHgCHxsCHAB7GPbMc5vsUJAxBzFI1XDOnxY9uIpV2d+QpN+WG757BwBjgBH4PNF\ngJsgC7j3OjH/4Zc5T+Dtba9mSisguXc2LCPmFvb+exWSWu0wsF1WQ5KmaeLJD2cfdh+9QafN6FRc\n8/6YOLgh/Nf9h+aOshhWmkYVrk6CRxeOIyhFHwYl05GcLIvNpm9sAZsvbVCxSE+fFY5z9dGx8Ond\nG+nz/sUoc/WWx/7bsWrvJcK0NNoOHY5qQWeh1/sXNNZyOlN9tOY7aeRROC5PwQr3Plp9+NKC1uNL\n76YIdc8MoaGZGq/lCHAEOAIcgQ+JANeAFRD9R+cPYPf6xbhOpwqLUylhXBUmqf4Y0Xt/lmCR2blM\nCT+F7yga/Y9nS2DIjLnw9PTADwaXKCm1OQbczKDD/5oKBfP0D8hzCiFNFFidXmUzxB4chl7fbYeu\nWXVUrWiMZ8cpdKlpS8r3l7sO56n/Riw58Vgb+fdSH7ZuEnb9uB6jbGXR2WWTSnDBoy8a7hXhd4oL\ntsjDCW+XU8DbMckwL4TwxU6J7poyEntux+So4arYeSpFh/fAVH9Z4u/3AgSfhCPAEeAIcATyjQAX\nwPINGRsQj+Pu2+gzGHv81XObFYjcOxwkpfx5rTu1IYrZc1iqTvMmbC8q236P+juukrbEAXVNykKX\nYlRZ93aiOEgV8EPXRhrjVVEEKexccE5jJH9V+jlfszAI1tB78RZwG41vbG3Q2K4VBrp6ww3h+PlQ\ncM7DSRg55TINYRo5zGXoO2pmx/gnTSiBZfZ11CimU9qdb+c3QLD3QFSl8CMl9Cqj7xgXNPyzWaFO\n+sVdoNyHvrFqc2m7ae0yG6t6L9MQtV7bCF7PEeAIcAQ4Au8bAS6AFQBxaeQ5XLNfTUmMq2LDP6fV\ntEHseHYs+eG8FlP8IwraGRYWjpfKlCosWGcMoqNjKGejGFFhYYigoKhZS1r0QwQEBFDSZLkmiPrG\nxERTsFUppSuS06TAq1kLO+YfSv5I4nSKep9DEUke4a9mI4BJ++GeJVo6ixFV3fZbdKxbRQMFCUJ2\nLcOy11IkUsiHJAowm1mScS8wAFeCHqjhkdmufsWish/0jcOfrWsqG3Ti7sKVIt13MymjrGNxuGTr\nkqU2EtO8yTG38b+gJLS30CccZV2TCbOIaIpqriyZKYneJj3Dg2iZn1Z8dCSeKjKNkyAXGR4p1ygl\nI5z242lcupKC4oIF783a9vzSfsS4DUedLEb8tymUKUD6Bm9UoJHQfvRvY6kgl+9PkeQu3OYB1y7+\nA5zbixB5QnNthDKMW2DPkJs4GsaMyrxwBDgCHAGOQHFEgAtgBdiV4EN+qP/dN+jcZTi9ENfiXEym\nGfLtyxuYRul3qpsaouyEjQi5eYjMakbw8GfmshgcnTMM1taWKF9hCI7cvYl/etVCHZe9SqEldNd0\nmPTdgLj0GHhaVqVxT5AWfRHTezVCLcqn982opbh51x/fm1XA1jB62VMRiR9hUY+q+HXbeURd34xv\nW46l/NCUqFtLeey7HN5IwybHrzX2MO8/AT0ssgtxT/23Cn5NuHMCK+fOwrpTj4TxLI/jKDJb7nic\nhoz7+1DVaBgu5GKaTXkQiAN4C9vKJSERi/GcAjVO7dYPTSZtw5r+dQW6LH7Z9JZVMWHPTTw6NBMO\nW6/i2uYl+K1XT5xBS1xd54G15x+D+eNNm+mF363NsVYudDzcOhymnpdIYH2ExRPmY9nEXmg26FfM\ndB+Nuham+B+ZOQO8ZsB5rD2+HuQMp+GzcfX+VYy0qIgt4ZmCC0u382OHSQiIuI85FpWwXE7//on/\n0Kt9fYFP1V8l9MlwK12NpuVbwNHFHfv8Q6FrNwROlLaooOWK53xUWzASdUqSr5zIUJkHUjs9EqLr\nlsSugA9rotXOH2/hCHAEOAIcgSz/v3NAckfgGQ6ftcDPo76AnsV3lAFyLjaeDkV3udCgU6UNVm30\nxLbm93HfZ6KQQPp5fWNUammPFuEXMdDTHVvXt8TQkO3oU0UHot529E5thmEtG2Fn8wewG7YE/z6N\nR3vyF+pycQEMW+/A6LhJMprNfsekxa74htpsZm9DC79gDLZqBv9Z32JW881IcO4osN/0YBIs/tSe\nUjgq5DrlA3JFK3NVIUtC2iRdMkMCFShKuqZi1m4IFlcRYe2RVLi6D5c7gidjU6/e0DkYghntmJDR\nGmGbJsNq8GY8F1LPaKIERF6+JPQNPLQFYQkRmDFvOTD7NBLkaUpYrr4plt8gdcctbOpeFeLARKw4\nKkFryn9pZngX/953hLsrM7UCp1280Hf+H7i2czuepzDVkxhXt53CD2NmIfHKQbz9aSz6HO6JtdVH\n4dpQfeinHEC90mFY/awrFi+ohzqtTmD1kx2UFzMViaKJCIsl9aWlLL1N8K6/UcplA+w7V4Nem7J4\nICSnTkbwymBgoIqaS+CE8iha2eP2EV2sXr8By1b8hd3002PleWyngw0FKSyNj8fT/thNSaN1YkiL\nRhH5H74Uw85ckX5bM9WSJpVwNTxecyOv5QhwBDgCHIEPjgAXwPK5BdLwq5jtux+R46Np5EtsJRMZ\nNpzAKxLAFK7Y4hQSfuqbKk+q6deyQ2+KI37h4Wu0b0gmLlErmJcVCTNLUQ1dRpvA+2E8xLWfC3Vz\n5nrgZjkRUsU0Rz0jPKMpdNNJ+9HAEy3ljty6pYyA1JKChmf7ihf486StciWlTEgQCiYhQmOJx939\nlJZo5BQlv6xbhN9KzNl3EcE7fXFb9C3WBvigv1V2N3xhbdJUwWzHRACdJEoHw8yBRpkR6E0otQz+\n80eY2AGNNZ5oTMbNPb6Ax178KQ8Q+2PTsqg18yJekQDGcEwMOY1/yNPsq6M+mHP0NZ6Xb4aFzl9R\nSzLOLzuOke5z6VpWbP6Yg1LP96KnzkgEU1JpkZgEtHMJ6LuG8geW/QVOiIRTrxfYGNqI0jaVxHyf\neoRbElyn18L9uU6os3gvCV8iqovCVWkaOlSmvI3yUt6yLnY71MduSuQ8efMhzBBS8ySjVH1dPIlX\nF8DexkXhoaQSarfqh7/oZ/7KeBya1weDlvvjFQlg5cl3cFmPP/DVnn+UqXgU82j+ZI73Y3HsUUeM\nH38CohRZapwolsRRLoCxvHwD7G/Bx3e42mlc8/pNYB2umSqv5QhwBDgCHIEPjwAXwPK5Bzf/9cXi\nq6cwzEqmIZn3kw/MOk2Cf/RvpNFiefZISVGShCtSkORUpCrIJ8fSi7xyOkTpTGvVGh7TnQWBgI2f\nMo00U9RXkk5mzuBUpfN7OmXuY4XlZTOBuiVZxoXQrOGXERp9Tya+wNcCLQUbFt3HYl1za5TZeQhr\n7mxHf3N1mgpCwtrohs1x3/8CTL6SCysqk0qF6+y+bQoaIvEDQUD6c1ZNRRVe3LtG198q7x9fPAK0\n8cReb3XBQiSOEAS+sY3NyMfuIe4mVkbdKgYI2/UvMGE8ibNAWsQtHNAZi3mln+OJ2BjmCbewVTQM\nzippdIS8iAbPsGTFSzherSrMmxJ6Qeg3qVwC+eaVQSVyY49pPAXBV4cj8ORG/OgwBd2e+tHekOwb\nLCFTqwI9GdsP9m5AUDdnSvYkKyyXYVNbykAQYoYvkmJwn0zH2/7LQOOnMaRhqyjvpf0jzt8bG7oc\nQIJjI6ETSwoeu/OwckAypQwKPX8QfnSS9XncG5Q1ztSKRQcHksjfQNmXX3AEOAIcAY5A8UJA81u2\nePFYbLhhL8CV/7NAL7nwxRgra9cFI0gcmb//ljqf0lDKIigrr68fxgERhSKoJ88xKL1AZiSZs7dO\nUjC27YzFhOaW0K/dFO1xEbceK5zJn2Bu72mkVaGwDfoyjZniFUu6Lzn1SoIGbf6WAOX84YH/kQau\nlNYzgnU6DgR8R+CQiq8Tc3Y/vXAcaed+Q3MtwhebQCYkgrR7YpzfG4g0PSuMsjfBtsv3lPMH7tsI\n/PITbDRqv4B0wf+rBTo3VORcjMeNQ8R/uVIU+kKMgyv3w6hZa+B8qnIN0sjTcBy/E68eBOCMzgx8\nTUmhfae505lJmRCUnipFV1uZQBe4j5zVZ3UHLqzD7qh0PGLC3C9tBeFMySRdSKNvwlvUCV9blBWq\nHx7fjBZrhkHnsBcOPU/Erlpt0W7dfVSzaozvHL6jxTdAZUEDWQb1JrYkLFSpUXiOPT64GKYalPUZ\ntjtsxCznzpTzUoLwU1twZ1R7GEjeML0plWT4ufyE2X6kkcxSdOKuYbRLKv6RC1+sWapXC+3JFLn1\nepTQW5SegDOUwHxgz9p4myhWo/Am5hm+tJQlRVdr4DccAY4AR4AjUCwQkL29igUrxZsJ5oztaDtQ\ncBwPcWuII649BSHktJeHYCqDcwfYX5+FWUsnoAbIt0q6EY2Gm2GJTSLGuT7A5htrZFotek8akfD0\n64BRiBneDBedpqLC2pNwIyftDPIY23l1C+ybWSCYYkgZXz8Jk1leqBFxFCOHrAMyMjBhpQ2c6tzD\nMOfjBFgUZlttgevcE1jkMAidXIIxoNwL+M7bT2178a2bCQ659lEzTTGUje1Io7P5BWxtKwtCTM9q\nOrh+5izeVvsefSd+nU1QYWMURb9GCwzO6IKR42/CsPGvGAI9dF96Ag+GtsUPYRPQjtzjpz3ui9vr\neyqFJ8VYJnAc85gE1/3/oyoJZgx1x+L1LqinZ4QGPTsALv7Y4nUDoTXH4LsmzbCo2yCM9CqNDql3\nsO1+bSxfOhoVJDfwnXQB/nYZjJSubnCXa7VMm7TCURcPeIcY4FJgaVhhDdwetsB87y9w0eMMfnCY\nlY2f1KggwKYzrOSCYumKjSE6tgKzq32Dlf1N8WxFX+BMIP7dFYadi85g3YUVSmzqtG6I3qeC8Ked\nzA+Nneo8cM4M+oaOGHqmO3rUTseBUbNQdUcA3MksKiXR0pR2wmVgbzRRmnYT8dD/FBaebYEJ3esq\n9ynCzxMNBroRRvXR2N8Rzu2qk1n1PhYOnQC3IBLOnUbgzwobML93VQo20h5D+rWHtZqwK8GD6+mw\nn1zwxOaZe8avOAIcAY4AR6AoEBBJqagSXrhwIXx9feHq6oqmTcl8wku+EZAErUH54VI8uTAUqRRm\nwtjEWPnyZ1q0npXmYe7zHahLYSrSDExQNtN9Sj4XC1cRhxIa27SzkxoXgwQS7yoalwQL16Crpyc4\n1WsbwcIrREZEIY5EyaoWliiXjQ9tI8WIi5PA2FhufpR3k81vQPPnkRCLIcG8/uUlnkJJRL0qAWsb\nCyVeSbQmMQl5JipzicRJeCHWzTYPW88LcSmhXpwUh3Q9Y9I8kahHpyzBsFBMpPik8B6MNoXrUpZk\nChOiY2JCiMgKo/kyKR1lVOpYC4sD1qPqcnjErkF9XeY/RjwlsbkpUlp4OJiblmn1Oqgo99ljseOY\n/1dH36VIOHAZNr3byQWuWGxwO4l+rgOUAph86lw/mP9X/+Gh2Li9I06eEKNH59rCGJ2Y0zCofRrB\ncbOVAmOuxHgHjgBHgCPAESg0AteuXYObmxu6d++OyZMn50hP5dWTYz/emEcE2Is4JJhMSkGpeEih\nGBqR8JVZJHj24DH86STb9ZBI2NhaaHnp6pLQZpI5LI9XpYxNoPAs0jPIXQiSkuapmhX95JF+Zjc9\nEr4y7xRXqvMr6nL8VBG+WD+jKjXpR32EAa1JXcxjpjgS8jQsj61HUa9nYEyilawwQVRjocCzWVuY\noKVaGE2TrJ2oQ4bBl/Bc/BbjdobgyOB65IvHBE/ZyMp0irSyKhHhmgTG2mVw0GsBTNv/jhby9ugT\nq3G+dh/8kq1/7hXM/8/SIByr3WJhN95JOeDMnNmY4LezAPuqJMEvOAIcAY4AR6CIEeAC2DsG+G1c\nKK7E2GLtGhGuHL+OOv2/UmpTmBbkxuWXWLt2LRKv38bzBhaoynfgHe/A+yNn5eiNwYN6YoXtAYy2\nYWc3cyplYO+9EEl0NsHAQLHpYjxNawcPEuAKUqR6jeC+0pK0ngaCpo/ReHniLziUd8HjQsQdKwgv\nfAxHgCPAEeAI5A8BxZsgf6N4b60I6Jg0haM8tEL2ThXwraNj9mpe85EiYASH7UcoAn9GHvnXJeFL\ntasemnanwwaFKEzzJjtCICPyhc1QhHTOokYsBH0+lCPAEeAIcASKBgF+CrJocFVSFUni8YDSAxWH\nUpx4KQ54aOLhmTI1kaZWTXVlYFFFVQTS1Of91RlVqaKicc2ctzjtvTZe4imFF7nO8cIR4AhwBD4L\nBLgAVsBtTqMQBtu9ZsPFxYV+3LA3IEIDpVj49O6BY7Fq5xzIYTsWR1fOoeCa4/G721rcCb+JnRpC\nEWggmGNV2LppWBn4SmsfFnvs2uzvMT/ghdY+n3PDw61/oO+/j1QEGAkeXTgM3xP+8Pc/AT8/P+Hn\nzIU7Kvk9PwbE3u9zKI08iqEu+7QKU9qew7Sg9WjgclQeouNjwJXzyBHgCHAECo4AF8DyjZ0EN7ZO\ngkndv1Cmy6+Y6+6O2eN74ngnWwzaeluNWti6Sdj143qMss30D2LhBKaXt8bl6t/D3dsbCxysMNW2\nHdZTguvCFJYPcajTMpwNepIDGSPY+2xEROdxCFAmCM+h+2fUxFL+NF5eA0edZGElFEvXq2yG2IPD\n0Ou77dA1q46q5Gn/7Lg75fdsif2UTzK38tR/I5aceJxbtyJtf5/PIQs1smvKSOy5HaNVAGOBWDQ9\nhxU7T8UWeGCqP/8HoUgfCE6cI8ARKBYIcAEsn9sQuNIe7Uan4TKFkfjOxkwIbfBFlaZYRHkbfUdN\nUQo2LEzBpAklsMy+jtoModtc4D1pH2Z2byhoWvQt22DmpF7oZVddrV/+biQ4NMcRtynaVHyqWnTQ\nbGSkFKXMdZM5Oq26nK0te4WYnMZlIUOzt31KNWL8Syl/XFb8rOZPRTEyUNnSGnov3gJuo/GNrQ0a\n27XCQFdvuFEI2J8P5ZLugISRUy7TEJY9AMZ7A+/9PodA3IXV+NU3Ntf1aXsOW7vMxqreyyjCHS8c\nAY4AR+DTRoALYPnY3zdBO9CWAqAuDvCg4KEitZH6tVpTvsdLuB0hi2L//NJ+xLgNRx21Yw7JuLLn\nCo1TF5L0arfGV2aKyFNqZPN0kxSwGtvqrsaO0VUQ8DI51zFVug5C21l+ub7kkv0Xocuam7nS09Yh\nPjIYAQGBeJKk0O5JSKCj2FsUl0sslgl2EhaLi+6ThHsK0xF2E1cCg/BaLvclxcUhlnyDEqlfLMXX\nekoxuRQlO31FiwSxkffwIPo1JRiPx80LF3A/TjaOmX+DAwJwI+yp0tTFshH4HHbArxQwNWthAVYP\n+sbhz9Y1lU06cXfhShHEupmUUdax8CNRYWGIoJRArLA4bMkxt2V5Mi30iQ9Wy9YXTnHFVIRaWpfi\n7m3SM4Fn1jM+OhJP4yh+mVCSEan0TUtGOM3zVL4eeQfhg8Usy9r2Pp9DkeQu3OaRmfsiZSI4txch\nyn1X5TLzWtNzmGHcAnuG3MTRsJTMjvyKI8AR4Ah8gghwASzPm5qMg3P/FPITDlBJRaQYLuQfxFuI\n5fLB/RP/oVf7+opm+WcZNO/XEfD8HoYtB8LVay0uRSaiweCRytyPWQbk4fYJ3MeFYuaoDqjXsBVS\nD9yEdi8wGTmW0qZbveu4S3HKtJd4bHBZhgn9GmrvkkPLTY+GMB95nhJIB2KAmTFWkd+ZSBKDHcOt\nYWpqil/XXxJGX/HsIdwvPhWIzYNqY+S+cGQ8PozqFYbhAvH35Pgy1LS2RtU2lFSb8irWrbYETMTV\nRF/GTqxAp8+2S/jvn6EoX94c+89thMOGW0ijdEa9yvfAifg0PFr3I8qP3yvQSrl/EWf726olJ1cs\nLUVIm/QWtpVLCgFdn4edw9Ru/dBk0jasoQTsrDz1/wdly/fH4fv3sWvUAPyP9vTa5iX4rVdPygvQ\nElfXeWDt+ceIOOCBufs247tqs/FIGBmPtRVqYHbAK8LmERZPmI9lE3uh2aBfMdN9NOpamBKtNwjw\nmgHnsfb4epAznIbPxtX7VzHSoiK2qKSSYpkafuwwCQER9zHHohKWywWY9/ccAlc856Pagv+zdx1w\nURxd/H8UQUCagIKiBhELotgSFQu22DVq7DGKxnxq7MRIYqJiCxixRcXeS4wtKBq7IooFC6igIqIU\nQaQISDng4L43e/04mi2WHX7H7c7OvJn5z+7su/fevDcOdXQpcLzAGLoqPz64Aav803wf6qBmPV3s\nC/5v1bYqHeVPeAR4BHgE3gICpSyRb6HFD5QkCyDNJCEDd3RQU1NJBpSVwJQmLnCuyXbEZSHcl9RT\nQ2SyDcWg637rQ+GMHLHxwBIsm32MPtOwPSwZX9lS+KJXSBGbF0LbZwGF3gEicok1oXiKXCzsEmnp\nkBVOCAIfvkCXFgr7NFkVJiXaO/5zbP/2IK6+Ur+ycH1REj5b44rm7etg7/KjaHA2CuNatMTYPQG4\nYdwUTu0acc01aNkD7ge3Y2zW73A4Pgupe/pxCrsrvzih5Z6byBjvgR1bN2CE/ffYGeiFQydfkOq2\nOPpWEIUdxQ/HBiJ8zwjYipxxwOcZWny7CnOsM7DJxBF6O65jcufqQOcDuGlcF6c9eqM7Mc2OjjU1\nKgpjrzJG0QUh/jsRkRGD3xauBuadQ8bUZlz/c8K2o17vzTgcfxmu5PU+4MJ63KBNF4NIHW1jfA+H\nI0fDa05bYrDuYaa7Peb9aIhaiw4hWyQmb/r3sVlcC4vqmOHltd0o+GYS+v3bC5tqjscNNwMYZPuh\nfsUIrHvWFcsW10ed1qex7ulfxKzn4qVgOiJSSEJmZ8D1I3zfH9Dz2IrBNDb9tpXwKJ/de+/uPmQ2\ndN7xA7GfYlVqJduRt9x/Kd6pEC1sS5Lsar4PdS2q4HpUOjcu/h+PAI8Aj8DHigDPgJVjZtPJxsrV\n3kpDjXT4L14B9FwAJ2noGb0GOniarsqApcQmwMDWGh1Gz+A+eQk38EvdL3HkZgwxYPZEVxKu5osD\n69FCTcWpoVFopV0lw/tdMHTTxZS9OXi85TRJHqwRRwb2MhWpMHg1vr7eEv5qvslyaSxVTIpOP5PE\nLDRvAS/kkmhnI4b5z6deFZde4Dm6YLefp5qq1RBjowNhcvAYfp6SAOHzINRr58ERYbY/E707oBXF\nr5ywpwcO78zE0A2VcWXsv+RePglLlqdy3ulvLIxDm+WMlSRmI7UA3/auTd7ma+KrHrU4OsXR1zZm\nDGUMkonBsRXlkwQqHJMq6hCz8xTnxbk44eWN5Y+rQ5Cbi1BS/lmn5iDm+jmEyX3Tc+Sl/7IowPZR\nwPsgfpbiN6xZJdSefRmpxICZkxry3PoFVPYZjq2eh38i42Dx5Wx4cKrMLFxadQrjvNh1lmzgvtAW\nUT5fkD3ZJi58UcbDS7ijNRBOFL6oYiOS8CEWU3s/x7YHjcjbPwV431CfGLdMzPm1NiIXTEWdZQc5\nSalAFIfr4jx0qKpwKmZuVw/7RzTAfoofOWOHP35zZOrULLyL+1BieD8JJ590pJ29p0nqmcSNOI7F\nY5IyYOW5D20bNEHdKI4E/49HgEeAR+CjRaDoG/ijHerrDkyXpEYKu6/EsOt4alwbTW3NkBawERMC\n00iSNUQuHcsNF6GaCoPzDLvnHcTwDT/I3RxUsHaEs2NFRNiYo4DiQj6+dx67LxaicXwySTYsS+mw\nCEdnLMKUsCQMkkqpcr5vgyqt9sjtp5gd1NUD+yF2aIwXJCxRjvWoR2OJVmMQWYNinVr4JSMSzh5f\nYX7V77B7astS+qHp8lMsqNEa/87aAr8VU2AQbIUOl/LBYkVmU3zLRl9NBGbSpoUAIUJa9ca3JHtK\nrq4HTP8fPKaSipalqTPJbooxsLn0J4aNhRmXLflXPP0cyxpwFZ/AIncPmD4PI2bkEjoQgyOm8bM0\nd+NCTOWYE2DKzNmcbZYovwMcz0t1x5Ji3H8m9TwcmIGf5yrsv54/vEHXuklLFSDhWhbGHbmHxe2r\nKdUkPlgYw9l/TWpsA0HmY9x7WRX1rPOwb2ky5gZIVNORl45RhxZAm2Jgplh+BsuY29glGIOZ0gDj\njCAX4sjoGVauScLo65I2sh8EceXczTIQk2yIKmTNl9z4J4RfpyDrZ7Zh2Iif0D3+GDFrhN5bvw/J\n8D5gBbZ28UPGaIlUk8U7TdlLDLU0lfc+TAgPwQM0lFXnv3kEeAR4BD5KBHgbsDJOq1j/MwwYbI65\n+68jOmg9/gx5iSe71+NU8GH07D0PnmcildSIhqg/vRUESu90rbRo7Pn7JmKV3D/kRxzDhPB+GNLE\njGJS5yPq7E7cHe8KI1GO1DA7C8c8vsE8DT7CEk4vxuqms+XMFxuGLsj2Bgqnr6KMR1i7JgeDahsi\nQ2acJh1vLpzRllRfmpMJenj547u9A7AjltEsX8qPukYStNpY6t6Ts6u6tXMdSZjyEXrQF5fJrqvA\nuhW2D47A0N7j0L1/EyKugzou3wBLD+GhTGgYsRcDfK7TNW0wZlE5lUT/SmIeqvRciPkeE+Gx0BeT\nOtUh6ix+ZAOMdLPk5k9GK2T5SKy8m8GdhoUpjPJl1/M5+6+W6Owkw4lCSfkHc2peY5J+HfE9Bv1a\nTEqnUPo+2PcrJvtFIv9RMM5r/YY2xPwdneVFeyaZFO4RdomboW3DSjSiJ9g5+xaW97DBWa+/kUad\nfHL5ODCqXZEYjmLyObdC0AltajD1NvD41A603DgGWv8uh3/iS+yr3Q7tN0dSXM/G6DOiD3F/DVGV\nk8S+/ftQK+0GJnjkYr2U+WL9Y7ZdrqSK3HUzjp2ivPdhTvIzNLXTEGyUo8b/4xHgEeAR+DgQ4Bmw\nMs+jPvr9eQaL7o+CU7cfoWcmQOaLjRjQ+RR+f/AM/6ucgGilXV91XJyw9GyYnHrGw+u42yALszoM\nxaLNO7F1+TRUbnEU/veXcuoosX5VWJH8zGNIXzRxqMExDSAT8ccBZ7GE1HWSvZX0biX104axfVC3\nvxcu+B/GPSlD9zxoG0Z+t5naC0e3LkOxLyID1jXNYNh2BAa1b4KapgomQSvzLg7da4r6xBwUnyh2\noc9ErDlwp/gixVzRtWsFn8GJGDveE+u8f8Y/5v3gOrs3PCIc0NaCtamPzm4/AIO3ctIpRsay808I\nWFYBzcj4fvOuFeTqIRzzfvgC13xnYUJYBrzGd8V8v/tciyXSryxA4tFZaFGXpIvkNqKGjRVteJhD\njJ0OunifxNL7bmg4ZSm2ek/Dstzh5KPNGAb2rdD+7ytKu0KzcNJ7HNp+xwJcX8Jvbl5SnE3QsFcH\n4GIAdi7/GUE2TTBo4Trc7zMKq3ftwoKxvbHuZW8s7WuPCjUboo84GH94DMeFrjPQg6RahUaNSDKn\nB49fl2PxlEV44OiAk394IKBND7LhE+K2/3l83bWRdO65oXL/cuPoPnLsDAepWrqiZWMITq7BvPCW\ncHO0gsua/kBKCA7vW4uhXdZic9DPcibubd2HrGMxx3xgVKMD/MNOYFdANNdX5ufOZ+gQTAt7iYdT\nv8fPNGfluw9FeHQzH4Mb1+Do8f94BHgEeAQ+VgQEYkrKg1uyZAmOHj2KOXPmoFkziaGx8nX+mCxe\nkuOQmJGN2793x1pXf5zsm4MhpIJZdNkTtaQAMf9LPauthnfKRo7BKshMI/WbKYxZaKKoOGTDGLUd\nbOXqSJn9V8ejfyLD7yoc+7aXqjNTsNXzDAbMGSRXb5Z1DpjdTb87X+Jo9xScfOmIbg4SCUrsLjcM\nyJiIa2p2YUXpishFBLFL+q+mqRbSmDOJ8bEwJV0Yc7ego6/EXBBtuqZOWiDM5Nw0mFqYKpUt2jOW\no4n+qaF22DsmEFs7y1SCWfh3bGNc/v4a5kk3HDBVKAtgbWmqLyUshN/Q+rgx/Ya8jEqLTBWqo8Ag\nnVSGcanaqOsoZZRpbMlpmdAm9aqympeN5blQR6kdCdVMal9MZSsRyTSqZ8rwoSSSgF103ERfSEyr\nMlZZycnQsrCQ3z/MBUUSuegwVMpjND+0+1Ar+RyM7M8hPG2enIlk4+ATjwCPAI/Ah4DAjRs34Onp\niR49emDGjBkldpmXgJUIj+aLhhbVYWfnAJfB5Cph/BcwsnFFda8f5MwXq1Vo1BQ+ywowfa9EaqNN\nzBdjf8Q6JrBzcERDFeaL1aAXtb0hjixfjHs1neTMVsLpdbhkrzhnJcuaxAaVYR1xAIu3x6CplPkS\niCKxaIIWNrg1LQMZYpCU3/plqKFcRJ/GzDFfLFOF+eIyVBgKWT2xvhEsysB8sfKa6Ft/0QQHT1+V\n+gsTISP2Dg7vTUVDJYN1PVMLNaZIH30W/4nlU3bLJY2y/nDfSswXOzex/ox2TcqklJRBY7MgxkeZ\n+WLl2FgUTB7LkSQjap8xXyzJmC92rKOvzKCyHGki+urToM5oifVNuD6o7zn80O7D8/PnYdqxiTzz\nJZt7/ptHgEfgo0VA8bP+ox3i2xuYleto/L3cHLFVv4Bb+6K7Ix1Gr8Dwob2wxtkPExzNS+kIqfxW\nLCFHpYCRkWxahIjPaw/v4fVLqav5ckXHIdjwayZJW4ykUpV0bB/hhjoBfmhchl2Wmqm+37nOtCv0\nVsBR7PSZjdQcMfTN6mBYyCO0LcWdhsC2F8Km/Yju3mdxfmbHolKo93vYJfbuQ7kPk04vwghzD0S3\nLvoslThA/iKPAI8Aj8AHiACvgnzrk5aFmIRC1LCWqP/eenMlNCAg9WdkghZq2/73fSmhm//pJeYq\nxIRchchY4P+0M2+08ff/PkyniAcVrK3latU3OnyeGI8AjwCPwDtAoDwqyI/vPfMOAC5fE4bEfJWv\nxtsqzdSftW3fFvWPg25lYr4+zvT+34cmxHzxiUeAR4BH4FNBgLcB+1Rm+hMYJ5PwPYpVuOF420Nm\nEhtyNconHoH3DoF3/Sy8dwDwHfpPEShIi1OKAfyfduW9bpxnwF57elKwYegUXFdyQfHaJHkCKgjk\nkR+sPcvnwcPDgz6eOBgco3JdckLz0LcnTlIYIOXEwiqd8J1PHtqnYCJ5oL8bFYq9GvyqKdcp63Fe\n2BY09DghD6Zd1np8OR6Bt4uA5mehpDYZwxYbm1zsvcyeo7P7dmPTrlN4LvPVVxLBYq6V1k4x1TRm\n3zt9GLs2/40byUoOFzWWLD3zTdIqvbXSSxQm38b+zZtxKOCRxsJvEkeNDUgzldvh+rRrM3Ycu1Xs\nfSKjpUvukmZWm4xQJb+Xsmv8twIBngFTYPFKR8/8vOB+NKJIXRbS52SQJkahSFE+o1gERLi1yx0W\n9RbBsMt3WODlhXlTeuFUJ2cM3aXqnyxiszv2DdtCfr0Umx2YT6pfzevias2v4LViBRaPcMAvzu2x\n5YUqk1Zs86VcsOz8C3bCG78EPC+lJH+ZR+DdIaDpWSit9Zy7m2lnrx0uyn9IChEaECzfFcyZL1hl\nYtr43xBZ5peqKg3Wh6LtlNaz4q/XrGuFi1PHwe+xzEti8WVLu/ImaZXWVlmua5tWg0WGP0b2/Qep\nGioUxbEo1hqqlTtLuR1t05qwzgjAD8POkhufklOhRUtsDGiEtpMOlcqslUzp477KM2CvMb9ambfh\nOWITUbiE4EjFInDJdwX8r93GqcDLOEK/YkLli5rmxkTkL0r4Gr8qNVP98HNDfAej/YQ8XE38C30c\nbTjD+ArWzbD0MoUxomDXwdIXAfN15T5NG6sG11EZ9IPdHljhfgizezhxht0Gdm0x2703ereoqVLu\ndU5cPOZhbd9VSk5cX4caX5dH4PUQKO5ZKI1qRfuv8NeOf9FIGstWQPFN9y4OpPgVsqSDWi5t4SpQ\n/MCRXSnuuygNQL2d4uqWJd/A1hkuFHGBwqa+dnqTtF67M0RArFMZLuRHChQHRNPw1HHUhPWb6Idy\nO4wJ/6Jd22L7pN6evvMwrLk7GdsistUv8edSBHgG7DVuhXML1qDdGX8MJ9ZA2Rao1VDyDt5tFNYt\nHIvTlVvAUbqoaW5KhFOThmNfQvlD/kjoCfE4JBjXwh4p9UGENHLUGZ+cQ57z0xEVFYuXcgZPBBab\n71HCC4qDmI7QoCBEpimW2QJhGpITkjlaeeRwNILqvuDqivAsKoKrpzoODe2T49DMTHIeSo5FhRxn\nyRy6Ss7l3VAlUuQsJ+wvtJt5CsuCveWBxWWFDGq7oC+u4E6MhOlNvPIPkj3HqgUEz8K1A9eoimJs\nrL6+vQu+sFH3liWjXPy3gGJ1RkTEKmEsKVto2hIHRobiBL/IFA8ef+WdIaD+LLAfd5nyZ0/tOWQO\nftk1+n4hMkPr9o3JPTRLItzftwqrSFL8kp7jTNmvQwpuz5KuDq0hGtcC7rL0nyYaIrV2JEXZOhMc\nHIxIWq9kSSBMQTjl3YqIKkE1WsDFiWUMGKPxIEphk8mC2CcnJ3BOnXPJHomtd7LE7JNCifYdFXtR\nCS1ZGeYUWbF+sQgksv7IQpbRGksOlRNorRTR37MITWujjJriOz02nMYaomIflZmWhhSyJ31J85AS\nFSX1YQgUZJOk3kWP+pFMa08UkuSSR3UcNWNd3DugIPMZN/4HSuPXjJd6O6qrqRwj8p0kWdcl9xdb\n+yXJEF+tnI7Nh24rAOCPVBDgGTAVOMp+IgrbjjkYhKEkTbGAFhKTFQ/4ha1+aP3XKoxzX4Ym948h\npAQJmHbCGQze1w5dS/FTpblnT/GjcTUsj85D9oUlqGIyQxoyJxkn5w9APbsqqNS3OxeSp9qGG0Qi\nBTuG2qPf7iu4uN4N5ua2+CdwG0ZsVTwgzy9ugl1dO/SdMhO/bj+LOycWTKijFwAAP35JREFUoWbb\nn7DS80dsuhyOf6c3RuvlgdLuaG5fS/gYW8c6wMrKCiOPPKa4h3GYZmUDqyojcSpWschqHhPLzcKR\nBT8DbX0wyMGgSLE8ClrthwLIwltGnr6I3q4N1MoZ4vMBHQGfrygU0RDMWb4JV2JfouHwcRSkWqBW\ntuTThNM+qFTtJ4TeO4rOxhQnc/NNpQo6qFlPF/uCJaF4lC7whzwC7xwB9Wch574/ulpVoWfvB5wI\nOoUFHWpyz+XKkFQkXVrNHXdadQqXVoxCjRqdcY3WqviAXVh78Apw9zR8F8zF5rNP5OMwEV/Gb5Mm\nYOsNyVrQajmV05A008hSaYdVY7FTLfpvRVp+MnzsqsE74Cm00q7i+wGeeKRrAPG9PXB02lasyqtS\nrQqY26oH5v8biojzf9AaOAlBLN5s0i38ZueI2l3+h8nDm6NJ3ZpYQyHN2LNsVtMbsdR2+Op+qONx\nUK5mlQyDOQZ4Cg+rahw2i2nsebHn0Nu8J06n5+HJ5mEwn8LqpOOE1xjUpbWy59jp2BVaMh6Mdqi3\nE2zHXYIgOwSDbEyxNvg51+TTU6vwWd26qNZ2FKY6N0O96iu5Pol19YBAd9SeuRexkVcwxsqM8GHr\njCqOmrHW/A7Ij9oLMxs3Gn82/H9qjDbk95AxT5rxelZkvrgOc/9EuLllGoeRVZeVnAYgLWgtd97Q\n57T8h6qeSTXc8buuhrGCyqd+xPsBe6U7IAWrenqijd8KOOvkYl/PuhjTZS8yprYsF7W82ECMceyD\nrtef4hsNjEZpxJi6oZVNB0x58AKDrPOwyaQWok9TDEUKuSNAJHobN4fJ8ShstgjD2fyG6IQjMG99\nB+Hpf8BWdIcWlbEY9yCQi1Oo3NYT3y/R6OhoZPgPoV9+kfjGvAW0D96VhPeJ2Ajjz9PxJI1ss0po\nn9EL8u6EbiEjcWOmIRb9pYWVXv3kHv6V21M/Fghv4xur9qiwIxibKK6iekoL8EGN3qdxPP4YWhtl\n07hrIzEgnOy7VNUjnOHw9s3YeGAJjgRKGL/tYclKQdPVKRc9z486hMrO3jgQcxldTAtormtj07Dj\nOK7kHPfxvh/QImoEkmeWb/6Ltsbn8Ai8DgJZGp+F9NOzYTvbCk+DJsIgeCnMOidI1gB6zibNfISl\nK/pBV3QPvSu7w+PpUXqm6AdKxHYYf5GLxBdj5X7ZZM+lprVA9cmTjkETDaV2Wr08CZO6A3E4Ph2u\nrM0wWltcSGJ/SgC7uZUQ6TcWVsQPnfPdB8fxAylWrnrKws6e9bFz2An58xix+Ws0P9CH4sF+i4qs\n/RYBuJ2+Gil+Z2HmXAnOTj1xJCYd7bk4uOlYY+KA89sv4e++1tjUiiKybnuIken74LZTC8t9RqCa\nTgph6ojj269jX9/q1IEU/GZcF00fJKC/ZTS3NpocvI9VnasQZoq1sSgekrlZuSYQocPrIG7zQDRI\nckcGt2aI4Efrygj7LXjpY4dDJ1+gV48myCc8qrg8Jw3FL9zYtRPOwbDuzzgSdRmupvdLny8N7wCH\nkOlovLoDMoK+JUaXwn7V3Ikr0nB53Jwr4WXcqTvFn1VtJ4frkxBP0yZya3mwN71XhCuRMacjhT27\nih8WJOFPr17yiRIIb2Jox3NYFeSOopjIi31UB7wfsLc8ncnHluOXwK1wcxfQr5kkbA58gTYDKpSr\n1fwof1iQjpyl/D++wx5ahIpLWqlXUHXieWwY7qRShIWZOXjhIP7ZPguTX2TjhjgHA3Slrt2E2RAL\numJyUzPo6rdFV6opjmWPQAySRWJiwPJxngJ3T6ooLa9EOYs9Wj2l9lSibPqtJ+aCPrMiQiYWl9ol\nlNg+lWo982+s6dkEzdr3pUXwzzIxX6wNllibrvZFl1x2xX/xCurfAjhJJVl6DXTwNF1VuckcqhqQ\nT68Oo2dwn7yEG/il7pc4cjOGGDDG1KUTE/0jvjiwHi2KjQogxLFZ0wH3TcR80QsCibgdmIWBf9Zm\nXZQn2wZNUDdKfsof8Aj8ZwhoehbMWn4N17vtcDr5f3C8HkoLwSH4RXhiVMJp2AweJXE6LFUvyjou\nzM6lcrmcJENZYZ+OupjkbMMVU14LZPWUvzXSUGpHmJrIFZ+/wBuhZgLkChOA+iZIq/8NPAJbw97c\nna67YOFfy8AsjzSl3NQCtHOsJr/0WZs+wLSjCMscgYZsDI4tUZniqNbq2wPCkA2kSxwJG+m6QUHF\n4OrZCB6Pk6m+NfTMtTFtWmf8HHgXG8PSiPlisVSf4jzhcMLLG8sfV4cgNxehJDOyTqUfdGZsbayL\nb50l61TJeBhibHQgTA4ew89TEiB8HoR67Tyk/c7FSxrHt71rk+1XTXzVoxaXL1H4GssZ4EKzqmR6\n8QBBj1/A1UlyVUqA1mUN86XhHQDHVThv9DfmeXggJyeG5vgF0pjGkMLRcjSU8OJoy9QMsobUvpsP\n8yKMf8GlmZdRw+8InEf/olJCwC3LJMnjk0YEir59NRbjM2UIMI5+8gJTRGZkyH+RjW06AK0O3MXL\n0U3LzGTo2vVC8oOTmFK3B5rP2IgxryABy484iDrtRuGPI3ewsn0V7As4gIcUtlmYWQGMrxKQ4Ddf\niS/Rsq4JV/EJLHL3gOnzMMzYcQkdOMZCNjqlb3qe5UnQGtXNit4qJbWvbyQJdC02Ji23eBv+CvoN\nHkohZphtWtitCGhX/wzVzExhpBLsUJeWRsbwSFJi2HU8Na6NprZmSAvYiAmBadgeNkSOdW64CNVM\nlPv3DLvnHcTwDT/IF68K1o5wdqyICBtzFJA91+N757H7YiEax9Pia2cpa0rtuwAvn+Tj2zF1uXzt\nhLtYIeiLa+bZZF9XABsLyaspITyElsWGanX5Ux6Bd49A0WeBxaVtgMluVpi/aRW66w3Epb+s0HfP\nARiSfWSfWWYaOynWlTx/zAA8MiAI5u1bEyNDiYzwDSWPtsZ6ypnF0pAWEuSzRcYF3r/OlJsF/DSL\n4rfGXEenkHCMFsUjJPgwBg35HLWj0tHDQrEmKLejfCyQ8iVi2XIQnqtmBfoc2fQDFDoSWtnp8YwP\nk6eew5Zh1qjtaO3khdYkebKV0pm7cSGmOkos5KbMnE32s1SFfcqMx1MsqNEa/87aAr8VU0gSaYUO\nl/KRS3Zk2bRW5tIPThsLzXMh71wJB8Vhrf4OCF4+Ap3m1MaJ+4vQ2jISYVvdIXqZBqG+tO0ieKk2\nKshnP8AVtmAC2w5Y03YCfHfvQ6OIz/DdcFWTEck8KL9MVOl96me8DVi57oAsHJo0Fz12TpIzX6y6\nrh49zC9yyx2+poJ1S6yLOoANny+HxBqgXJ1BxBlf+onmgW/b16SKKbgalkMMx3Oc+/c2LTCSvTMy\ngRijLKBfM1V6LsR8j4nwWOiLSZ3qaOyzLtPY60nqc3TEqchmv5IoaRuwhUvyQJXYPtkpHJsyALEz\nbyP18ios6tYHxxIkq6NW2m1Ma+uOmMqVcfu7ZuhPdmLKSaz/GQYMNsfc/dcRHbQef4a8xJPd63GK\nFuOevefB80ykkhrREPWnt4Js4WV0tNKisefvm4iVG63SghFxDBPC+2FIEzPo6OQj6uxO3B3vCiNR\njtSAlPrr8Q3mqfkIywjPh7W1ZHG6sn0xMGoQTEJ3YnuERKXJ2stJfoamdqbskE88Av8hAkWfBUln\ndNDSbQZuLZyDlM/boXG7obD2mYjJaI0GUkZEfb2QMEe0a5F+0F06GCJ5RtiaQmuBLOlza4HsrOh3\nsTSoKFuXDOybwRWXcTua1hsuEZPSdxbinl/H9H2PUNWhMboN/w072jZGaobieZMW5r6Y1MrrfLg8\n69p+ksiMGo0mJNXWkTKRMgmeQa1GcBIfR0S8hBYzr9jkk4BxTWypvjaQWojmzk3QcOAieIlXoBnZ\nR4n1G2CkmyW3FskaCVk+EivvZkjW2DLikR91DV6ojaXuPTlV3K2d6xBGrGHoQV9cTtMmnUIxzKX4\nFkguyKXsR6HwE3yJLvVpPVJb30vDWkIhHcFzLqH/gR/RyloX+Q8ukRbEGvm3/sbyS8+L4MXVUWtH\nNucyTEFsfK9ZP+Hw1O8Q07lbETVjYXw0/IvZySnp06f9X3suJWUIgmhX3MOHD+Hq6gobG4moWfn6\np3qcH3UCI3u0hde5RxAaOqOvqwNtDxbi/PKfMHnmfjx/HouLURlo/mVLWMoWtTKAJTawRbVHS3Gn\nyQA0NqFFoBzJrHIV3Pddj+sV83Dln1MwaWeHed9PQ9X+QxC13BPr7ybj2pXbsG3VAfZmuhDkJWDD\nuJGYtWo11q5dg2U+f+D3w0J8PaoDKktZ8Ri/hXCesBdIiEChiSmidq2Bb/BF7LmehsZV0rF+ri9u\nRv+NEK1mGNWnNSI1tG/d2QX723XGnJCnGOUxG866cTiyZh3WrPJGXouBsDj5K87298aPn9dE/LXz\nqD1oPI1deQHSQf0v+6LSpr74es5htBsxDAYPSGUyWQubH5xAH91oxOtWgWkFSR19UTi+CaqEn9ow\nRhR4eccPM69H4tG2A3iiJcSjgC3oMOwu/O//ieYMYx0jvLx0DFW+mo5Bjla0hYKlVJz8zQPzA6th\n4pjPaclgqQKqt9DCkPlHoXPnKK4LqqDinYs4+7gqpv3QERKWS4Rr6/egZv8xaFpZyrRydfl/PALv\nHgH1Z0HWAz0LE8QsjsXopcNQxcAcxhc3osOPC7l7lvnLWzLyR3IXEIhL4fro9FUrWBtoI3rpaBx+\n9gRpjXthAFk/rB8/DevDgrHzvj4626fB56eVtBbsobXACX3bsPVQNVXQV6NRX6jSTsdB/TFmYEMs\n+KItbpha0nO0Dhbu89BBLxIzRo9AXEUrJAXswD7j/nAf2EQuzVa0UohnkY9orbqBi7eTcN/fE/MS\nR+HCykGo9OQE3EZNwAPLpwi7moSGX7aBhVF1DOpTF3NafI97pvnwnzoCwnlHsbR3fVz3nYnBuy8j\n4MpdOHftCqvsXdi1ciPW5TXG4rnTYb2pH74NFMPg9t/YU9Af874yxpZy4KFtZgaLqBX47WgaBPdO\n4LJuPRgtcscxu1Ho8nQ7vqG2L14jp86WbdC+ngU3xIL4uwh/Tmt4YCjtkjyHqYMuwCd4AzqZxang\nWOJ8qbwDjFCxRjp+HLkL+qaPsfdCFtpaXcZ0r1xMcTOB54SJKnhZiR6ptNO+WQ5+nbIUd6NDEVmx\nBrq1rM3NeUVrKyQvzsb/fAfBUkt5HSdDj9uHcLKyKya0/HR4iYSEBAQEBKBOnTpwcXFR3K4ajngj\nfA2gvOssAW15ztHRh4oWrsydECErOQ15RhYwI9UAc/ugXwyhf4faYe+YQIkxPUc/C/+ObYzL31/j\nDPfL3KRKwbK3L6mWhR09u8Fo2wX0t3iEqT33YdjC9jCq1Qr1NahDs5LjkJiRjdu/d8daV3+c7JuD\nIV38sOiyJ2pJ+8E2I/SsthreUmPSgsw0EuubwpjUnI+i4mi/jzFqO9gqLeAS+6+OR/9Eht9VOPZt\nL1VnpmCr5xkMmEMLuNIYGb0MMpIwM9Ih9SXR1jdFJalqQiuZDFntzyE8bR6qK9XhD3kE/gsE1J8F\n5T6IaG3Qka4NzIUALRQaJeCKOkJytSCCqSkZCL1yKgsN5jYnDdq0hlVi6k1yxyCi9bCA1HMvyX7L\nogztM1Uee0YtTcuiH1Vrr4xjK18bmokKaf3IFOlIxiQdp3Qp0VyBcpmLiCQ2Dxamb2S+JPSERM+C\n6JHrCOpPMa+MYvvELqTHRiHX2g7WSSfw/V5D+E5to1ZessnB+NZjfGOnqppUK/hRnZbHCF8q9/io\nxv/BDUZMC+GrPACSgerAkB4kxnyxVBzzxa5Zf9EEB09flfqZIVuL2Ds4vDcVDau+zgJb9vZZH5jI\nutu0QQjauQt7vFfjvnEC/E/EorIG5osrbVEddnYOcBk8BkHjv4CRjSuqe/0gZ75YGbYZwGdZAabv\nvc9OaSEnBom+meNAOwdHNFRhvlgJHVjaG+LI8sW4V9NJzmwlnF6HS/aKc1aSJUaPMV+yYxnzxc7P\nz5+Haccm8swXhw7/779GQP1ZUO6PjPlieTqlMl+slP5rMl9lpaHDMQMc88WqEPPFnjY9U4syMV+s\nCitbNuaLlVZrj2WVIZWvDc0E9WktkTOU0nFqLqnIFZPE3qJU5ouVL9t8Segx5oulV2O+2CamXQ1b\noef2c9i/4iB6f1NU0iMM3gmPURsx5BNivjhIy/GvNOa7HKT4ou87As5Td+FWwFHs9JmN1Bwx9M3q\nYFjII7R9JR9krz5ay86T4NUyk6R232AI/QoU0sJR2u9WK9fR+Hu5OWKrfgG39kV3RzqMXoHhQ3th\njbMfJjiy3Z4lJUMMXrGEnMXS5h8pY0WyQ8TntYe3knuJkiiwa0mnF2GEuQeilTYXlFaHv84j8LYR\nKN+z8LZ7w9P/OBEwwden1yB25wmkD56NUWobJLSSL2Jg52iKYjJByuh9nCi87qh4Bux1Efyg6uuj\ndvsB+Ik+/3XSNiJ7BNYJpnotQ2fEOlXRbfS4EkqaYMSe44hJKCyhjPIlHWK+lM/10axH0V9xyiXU\njys4uuF+Z2v1bP6cR+A/RqC8z8J/3F2++Q8SAasWA/A7fTSlfB17rE30RrViXfxoqvXp5fEM2Kc3\n5x/xiA1R4x3yQybW77Cxj3jW+KG9DQTe7bPwNkbA0/xwEdA2rYpqH27331nPeRuwdwb1p9sQ8/n1\nKFYRqqk8SLC4bU9LCOVUHlp8WR4BHgEeAR4BHoH3BQFeAlbGmShMfoizIfEwMCB3Dvn5yKIPS2Jd\nXehSzLI6TZu/NXHri5AzOHQzGtW+6I1udQtw5tBZPM4zQbfBPTlvzWUcwlstlk1BZi9cuAXddv3R\nyVbhJYb5J9vQty/yFx7GeOZuRylFB+zhYs5lkzKyndtYVA+7AP2+o9BY7qma/AWJ4jCTYrfNSFyJ\nxrw4Wwk9/pBHgEeAR4BH4ENGgJeAlXH2xDoVYZQVim7dumH4+RiYmJhwH+3noejTrRO233k1CU9Z\nmjesbom0DbMw8NQj2tlXCTZmmZg2fj6ilRyNloXO2ypzzdcdbkuWYdD4P6Ej38okaS1iszv2DduC\n8SpxGkUUJ7I/nA4KMNHbB0u9p6JgNTkY/CELtkrMF6NQaNESGwMaoe2kQ1KHqW9rFDxdHgEeAR4B\nHgEegXeHAC8BKyPW2qbV0apnF4rFNQetvh6AFo5SvyYtWuB5rYrwTtfsqbmM5EssVsGiEfqNdcHc\nDObqkLxdu7aFq+CfEuuU96IgMw4XzlzA3Xgh9PRykZtbGT3cBqJmKVKnfAp42/mXenie1AHfbZ3M\nebiWtc18ErlP08aqlDqyLO47P+IAuv3ekHxnDZHaCVRF/x88sIJcQGjav6hPMTPX3K1LjiK7vVLI\nJpXG+RMeAR4BHgEeAR6B9wABXgJWnkmgQLIsSLRQGmAxPyoQxyNIgeZE/qkSEzlKKVHhCA4OQXSm\nREXJAoalJSdT7MAccqiXjqioWLxkMcSKSemkymP11e2esnMlMbi4akoBbYshw2ULKOZhREQsF1C3\npHJJAatQyaYBTqaYoHlzJzg5NadvRxiX6tFfhIA/5mHqycGkRMwhR4iqKfHKP0j2HIs6amx+QTaV\npMDhOUo4iPIrYGBbO1UC8jNDfLVyOjYfui3PYbiSX0k+8QjwCPAI8AjwCHyQCPAMWDmnjQWJzst+\nQcFYM3H3/D8ISRZSvLBGcB9em2IJdkDr9TeIYgK8bKrA83Q0HSfj5PwBqGdXBZX6doezsyOqbWBl\niqZQbyfYjrsEQXYIBtmYYm3w86KFypiTcNoHlar9hNB7R9HZ2AQ9Nt/UWFMc64/afZ/jRmoG5o/u\niRYk0ZN8HKEh/rYKDa3MG5j9d3d804KC1LIAt2op8vRF9HZtoJbL4klSefE6NDNvidEeXjgU8AA6\nLUZiagn+tPRMquGO33UWpZJLEZuHwMpiNuKKUOczeAR4BHgEeAR4BN5/BNRkE+9/h9+HHu77cw0E\nzlo4vHAjBlyYxXUp+dgCDLkwAE+DRnCe1b+I/5e8tg+Ga8xlcvq5CTu3NIfJLH9stgjD2XxNkp4s\nXF+UhM/WuKJ5+zrYu/woGpyNwrgWRZ2OloZBftQh1O2/Dweo7S6mBUDb37FJT9kwXkHh9u7lGOG3\nu4iUSlGi+KPof3fg7qCOFM6VwnNnZqsVzEK4LwXJHVJUTKXrMBh3jutg3ZatWLVmEfbTp6fvJewZ\n7qRGQ3FaoUYd9CJ2SyZXtHQaiqm/V0JlRRH+iEeAR4BHgEeAR+CDQYBnwMo5VUwFOebXOeRt3QBT\n21bD7+mMwRAi+NAh1BtxUB7Whhnt98UDBD18AVenbIgFXTG5qRl09duiq8Y2DTE2OhAmB4/h5ykJ\nED4PQr12HhpLlpwpxLFZ0wH3TcR8scCoibgdmIWBf9bWWE2HpGM7evfBk7aqrExgqh3OnlqJ5mpG\n8Qoiz7Bv6QEg7DqGxG+CVuoVBKAzZisKQK+BDp5y+CgymVuJx6IqsG89AIvo87tvOvwX9sPQ1QFI\nJQbMnIqGeH+Ls11XYbozScqkScDxcZIQ2SzLjBwAzmshu8p/8wjwCPAI8AjwCHxYCPAMWDnmS8IE\nELsltQHTafoNplAAWJYMK+vgfq5MPsNymMG8IglIeSatpshUOXqKBTVa499ZW+C3YgoMgq3Q4VI+\nWADYbApSW/ZUgJdP8vHtmLpcFe2Eu1gh6Itr5tlkh1YAGws1SVguMO7IYSzWEN5HU5vCTAocZKQP\nUdhJzL03FpEZ88BkdALRHfSuPJN2aSpq5YaLUM1EKYMuPTq4FWHdZ8JeWozFa2zm3Ay4bwMDUuvG\nxdzHgYXHULltElmVGUu85VNZCV3qLJ94BHgEeAR4BHgEPgIEeBuwckyiWF8XzAYsPVvI1dLWpyDN\nXBRtHdTvPAiY8xeeSOnlxdyGH1qifX0zCrcjYcZ0VXkRlZbzo67BC7Wx1L0nJwW6tXMdwkjhFnrQ\nF5fTxMTOkTRLT8rUlUIvIzwf1tbULqUr2xcDowbBJHQntkcU3anZYPD3WNvnD9wrg0sLZi9mZdMP\nocI0/PXdL1wQasZ8sSRg9cVBCLsTgv2+R5HKdmtOb0U+0yTXJf+FCD2wAZcjlF12PMOeEdswd2Zn\nCkguQOb988QwuqGxgaqRfWF8NPyhJ2dr2caBAR6HqB0+8QjwCPAI8AjwCHx4CPAMWBnnLC/2HKb1\nnYFIRwGWuY/CwClL8VCJabHsPBsBywrRqOck+PrOg2vzbdh8fTdc9J9i/fiZOC9OxQ8DJuN4VFEm\niHVB164VfAYnYux4T6zz/hn/mPeD6+ze8IhwwGfXfNB85klg+/+wYP8JLBnxE9G7iP+5eWlgnAzR\n78BP8P5pLv7wmIr9Qie0jdyCqTvzMKQ1U/CpJoF1V0T+WwdfWJngR99/EBQUxH0CAm7hhZr5lpZl\nPXyPa2hrVQMXJh6Gp5LRvJiYwmrQwuRO7fGyVQuOiazj4oSlZ8PkDQqEEfALtEHa2tFw81yD/btW\nYIRxfST+FSRVNxqilmVFOHoOQQfnuiqbANJj78FxUCu5ijcz7h5OrY3ifYPJ0eUPeAR4BHgEeAQ+\nJAQEYkrKHV6yZAmOHj2KOXPmoFkzUg3xqVwICISZSMoUwdTC9JWiwAsz05Ap0oGFKak2RUKIKFh1\nCYKzYvtWQHQySD1qZqQDdpxN0rpKJRASCFNw/eIl3E98ydHMzTVEp2F9i/oBoz6x/hlxkj/V5pm6\nNI/UpbJ2mB+wntVWwztlIxqQdEtAKsbnmXqwJNu0Z1FRSCFe1KpmHVgq2Zkx+69LA9di4LMApDTq\nhvrctXSsMXGA8a3H+MZO6n9NtWn+jEeAR4BHgEeAR+A/R+DGjRvw9PREjx49MGPGjBL7U8IrucR6\n/MViEBDrG8FCv5iLZcjWNzKFvPorMl+sGW2iI1FCSo4rldK2WL8ymnXug1JZbuoT8XQak56pBSkJ\nFanQqCl8lhVg8t77OD68PtlxGRHzJble1c4BVRVF5UcVq9dA9L4/saF6F8xqzTYRkM1d8E54jNqI\nVJ75kuPEH/AI8AjwCPAIfNgIFPMq/bAHxff+/UHAYfQKDB/aC2uc/WjnaFEVqHpP6w5fgNlk6G9E\nhv4saSVfxMDO0biaOOGVJIHq9PlzHgEeAR4BHgEegfcBAZ4Bex9m4aPugwlG7DmOmITCMo9Sxnyx\nCvk69lib6P3WAp2XuVN8QR4BHgEeAR4BHoE3iADPgL1BMHlSxSFgiBrMW+srJG3TqtJ4ka9Qma/C\nI8AjwCPAI8Aj8J4iwO+CfE8nhu9W+RDQSnuIDWM/Qy9fzWGeykftwy5dkPkM8WkS/x9ZyQlFdrOW\nZ3QsfumjWGW3IWWvzZzuqsc0ZbUlNCWbPcpOjS/JI8AjwCPwcSHAM2Af13x+kqNhLkJ61WiBRdWX\nYvPYUrcRqGCUm5ZWarBylQofwMm1BcOw9qHE3UnkphFYdqskb2kiPAm5gF2b/8ETNbcjQAo29O1J\nQdpVNkpzCEQH7KGIDVMwZYoHDoQ8wtVdWxCaqVpOVxSHmdUmk9841XxB5h347A55LSQL0hiTKfHH\nJyEkxE2/lRjeqicWn458LdpvsrI49gTcyF+duvOZ+KAzGvB+ky3ztHgEeATedwR4Bux9nyG+f6Ug\n8BRLHAfhvNtmhM/pB6syKdVFeEpMx1bvcbCs0Q231BiHUhp8K5eFoiLczyu1IxBFYtva5hjNAqRT\n0tGrViwdgegJfIb2w/LVszA+QhvV1bCL2OyOfcO2YLyz8uYJEYK8+8PpoAATvX2w1HsqClZ/iS4/\nZMFWyZ0Ia7TQoiU2BjRC20mH1Py16cJCr0Kx/Sr9ghAHuzdHvVqr5cHZk04vgqu/KSaM1ceCr/3k\n+aXTepslsrDvp3E4cCdZzoAVJgRi6eZTuHPtEgLP78effvffZgd42jwCPALvMQJqS+573FO+azwC\nGhDIj7hIEQSa4zjFk1QLsqShtCIrJ1sHzl17wmlhjCLzPzoShW1HJ38HXJrZ8rV78PLaYYTO7Y9a\nZaB0zWcMjvffhpPNziF4n6XKLlPmw819mjZWpdRRoZQfcQDdfm+I8LQhUtu8quj/gwdW2EvieKoU\nphN952FYc7cutkV0wxiHN+XDTR+dNu7Gruxacse8z++GofuXI+AycBjiKSiFJECYem/e7Xla0Dp8\ndzQFaKtoV8u6Fb6sNBatp1IcVcH/cDG6r+Iif8QjwCPwSSHAS8A+qen++AYrypfEhyyfPEWHgoG3\nRpN6NVFZ4mrsjQOTS/ZP14MCcCn4Qak2WKLssttDMWe2D0OCcT4oGJHJ6ootEQK3BGDCgKaljkcg\nvI0ViyyxYmB1FGRkFCmfeOUfJHuORR21n2gF2VRWnIMcJYGdKL8CBra1K0JDkmGIr1ZOx+ZDt4u5\nXv5shoFWNZKs1ZcFwhIinRwH17eqAKFQRLFK1Tqt1ER6wmM8eEWbNiUypR4KRPfguRC4cXk9EHgQ\n96VSVnFsILZFdcPWWRPx+8baOHyUl4CVCiZfgEfgI0WAZ8A+0onlh/XfIRDiOwGW3X/EkWu3cG79\nl6jZd3vJKjFpiM/SepwTcRCtzTtjkd8ZhAbuRlO7/ghSUp9qZd7An2Ht0NO2dHY06ewOHB7/PRpQ\no0q8lLwLkacvorcru6qatA1ItSleh2bmLTHawwuHAh5Ap8VITFUKS6Vag0KYmlTDHb/rJWOgXqmE\nc0HaAyzpXhc1qpNzXir3PGgvvBYextLF8zHHe7NKiDAFmSwc8+iAz1ecQdiBKTA2NsbSkKK2cSwi\nRFREFKIoUkNxn5gijK+iFdnRNZ/fUX3xONTRzSNJlzFkcWAFth3wx8zBFGWkLTr0+x9+He4kq8J/\n8wjwCHxiCBT/U/ETA4IfLo/Am0CAqe42RfdAxuVeUnJT4UH2XaU9aAIKvF5yysKRP65hdeplOFNY\nJ5amuIsoVJVChBd/Zj8qTfuei8NZMq10+A3dgXGHp3LFXmbnwlwW6J3LyUK4bzgwpChrpuswGHeO\n62Ddlq1YtWYR9tOnp+8l7CmBkahQow56Ia7UEZbcZ8XVQotmWLDtD6z8PIMLzm7eeiRWLD+CxrmT\n4T2+kaKg0lGI71cYcscNT49+C2ORC7bOPozPqlRSKiE5zE26jZ2bT0BcUbNCW5CTA9N232FyD/si\ndWUZLGi9d/xA7Hc0IEfCJBkU/4vHSUK0sFXQrNm5u6w4/80jwCPwiSJQ2nvhE4WFHzaPADmBJYmT\na/PFMG1bWSMcz8n2bPuBuaivr2CCxPoVIVpDL/k1Eublrwcp6GGtKuJSp6uVegW3w/LR84LEWIid\nV514HhtUmBpDVK/+AO3MTbi+dN90A3sH1lFi7LLgv/4+vttVPGMgGwRTg00TZ6Pt4u/RczGQFngR\ndybsJElYMzk9vQY6eJquyoAxtxKPRVVIfTsAi+jzu286/Mn2bujqAKRSX82pARbL82zXVdLg6pIW\nBRwZ5SBVsp68+reQmEbllJ1LOy1zNTOxAuE9+My8jrkXDnA2Y3lRpMLVmow1avPC6FUgCdVsrw7K\npMt5zAzvJ+Hkk460Q/Q0BNlJXP04FvhUiQErJ1G+OI8Aj8BHiADPgH2Ek6o+JOZ3KZI80de2lUWH\nVC8hOWc+o/JMrWH2indFekICKlhbl8sYXnNP3o9cXYf+uJTRv1ydubt9I+oev4PnjQylQdVVmS9G\nTJ2uMGQ1OpxvhqNTizfCz486hPUYh/jnOyCiUE16FhYq/dJOuIg/jYfjCgU615yEEIr0wWKo39g8\nE5h3jtqTuOwQhW2EuUs0crwgN2rPDRehmonqjfDo4FaEdZ8Je2kDYh0TNHMmGvdtYEB2WXEx93Fg\n4TFUbptEu/6M5feBmCOjyjBp7uPbyc1/FAw/tMR4e4nEK+7iYWDaBFRKfowko1qwVGKg86NOYM7v\nx1BYWSGtUu4Vk4CZdR2Pn3rUU86WH6cFrMDWLn7IGC2RxDFbu5S9/8qv8wc8AjwCPAIyBFRXWFku\n//0RIcB8OfVFPtnIjLcteVjMZ9SBjn9jXgsmy1CkvNgbWLt5Px6lZsPq84EY7vAC1w1c8LVabMe8\nsC1ouqIZHnh1lUtSFFTevyOBMAPnxWL89saegnQEndJBj9HVuIDqLJpldMAZZDfriPpqLhrU0dAq\nhT/JffYU9boMgxEFeycrcxQm3MCROGv0bmHDkbr3z250HfeHnOlRpx+x+Rs0P/g1YndWR8elDRGY\n2FReRCI3ysCjsOO4Fl0L3xNzUX96KzxXESgJEXpgA4Jrf49+1jLj92fYM2IbSZZ+I8ZOgMz757FC\n4AY/AxExe0BFKa6F8dHwpzDt6+Qtvv6BvoGE0ZRNnS6KYzxJqlWFbnyywzKlOWCuN1ZPPQfPC0tx\nbYkvTOcugqVSdyrYEKM2u6jtm1IRaFdUZX5l17TSbmCCRy7WX1aoQcX6teFKqsg1N+NIKqj6XMnq\n8d88AjwCnyYCsvXr0xz9JzBqmS+nE2VY/DX5jHoZsh3V2gfg0K0lmGxXEQ/8fNCokze2kWpNPVl2\n/gU7T3fELwFNsLi97CWtXup9OBfiku98rPY/R50pxGy3YegwYj5JNexfs3Mm+GqMCWobt8TACd1g\nHL0Bj523YE/74pkDrkEVRkdzF4wdmiPMrja6DiZXC5VTsCTAHoGn5koLP8N+D10MT1RmJVTp2Dh1\nBaZ+D9saLth0fS8aK0l9iEUhGLzQ7rtpuHqKylGq4+KEvmfD8HMLiVpUIIyAXyBJuoxHw+18D/S0\nz4ff+Lmo9lcwvJyNuTq1LCvC0XMIOjjX5c5l/9Jj78FxUFe5dE2W/6rfzPHupGlbqM93MM3XGb/U\nvAq3mafg6JiNkbkTsGpmL5W2Ci2aYvsoIX7z9ELduASYuHXDSe+ZeNBuKtaq4EDmWvomsLWVqHnL\n07+YYz5oOMSTqjRA44DRmNm+JgTCSCxxmwbPMNrlStj/XHkrfu+rWXJWnrb4sjwCPAIfBwI8A/Zx\nzKPGURTny0ljYY2ZT7G43XQsC4lHJzvJzrp6fQfjO8c8NNFgP8NIuHjMQ9daqzA5bR6qa6QpyxQi\nM1MHRiW4DJCVLMs37TUrR9KHy/iF9ClHlTIWZUxoUsxoxDxNQaHxFNQtRe3LyOoYVIJmmYqiUebU\ndGdqLGJj4pGeo4NpXnZyJkMUdhKbxg/EL2rMhKI2+cVqMRbP44dCbGRUREpW0XEYYqL6wMjCVC65\nrNLyK7QcsBrh7m3QgBn669hhWcwFWJKK8xntEGQmTe3jJ8NSSbJ3/+xVfDPQjXYl/ouURt2kUr90\n7O6zAj/ckhj8K/fpVY+Znda6o5eUJGptSFXsXgI5YoxX+KEzRT3QNjXlxp9Jx/p0/KZSjR7uyFDr\ng1jfHu57jqCknr2p9nk6PAI8Ah8eArwbig9vzhQ9FhETIyTbHqVPJtkHyUyni/PlBAgRFxGhMU6f\ngjiglZmIUKImyMlUytZBw29di2WuCk1b4sDIUJyIyFaqU/QwK2ApumwMLXqhnDm56cmkXrKHKdP3\nvSdJjwKI13F0LBPzxbqs4/gt/MrghFWsY4Tqdg4k6VEwX6x+8I6D+GFEK3ZYYtLXwHxJKujAVIn5\nYnmFRk3hs6wA0/dK/FSxti1NmT2bDqpyfXBQYb5YnYrVayB635/Y8LiKXOUqDN4Jj1EbMcTOgBX5\nT5ORlPlinWDH/K/P/3Q6+MZ5BD55BHgG7AO9BfIj/OFiXgU2VlawUvrY2FhhfVgGNypNvpy0km9g\nvLENfEPDsXdwdRibjCkSq08GiVjfHI3pNTW1VS10HTsTq3edQpywJkaP71DCy0sHNevpYl9wtIyM\nhu90bPVYhWkDnDRcK1/WvcMbgDYt8JmSO4byUfiwSzMj70W+DujvKFEDqo9GlEvqr1dMDqNXYLj/\n91gTllomCnWHL8DsH6Zg1nCJfZlW8kUM7ByNq9691O6XfCTnlk9mWaYO8IV4BHgEeAQ+IAR4BuwD\nmixZV1m8P48W/+CPmGRc9h6LjWFPcdx9DP6KSkFGaiomcC9jqS8nuTyM1X6KBXbdkPvXLSwc+BW+\nn0XKEUED2BajuhLr1MJvD07gD/fRyNy7Fj+PH4D6HX7HE1lHivnWtaiC63HpGq8KRCn4eyzZ5Hx7\nEIPK4DBUIxFpZlrwBnRd8xS+y74qolYrqd7HdI0Zea++/wtqFTOoemNWY1qTVzX+NsGIPcfRy7zo\nTs5imiOVskIUma9jj7WJ3ipuOlg9sZETPL51Lo4En88jwCPAI/BJIMBL4T/Iaa6KX59ugJlRKnz8\nK2HweAHOxlVBSwvVF6W6L6e0gG3wEgzBjS9rcqN+FHgMmOtdjOPOdPIEngc7u2b43xz2WY74oPWo\n1+0Q4sn7ei2y/dHKvIpBg29jw9GxcnskRti2QRPUjSoKLNuBttC8BcVupC1/8RsxzH8+NLNprO4L\nPEcX7PbzLBIOh6lQ7+5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"text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/on_epsilon_soft.png')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 5.5 Off-policy Prediction via Importances Sampling\n", "\n", "use two policies:\n", "+ target policy $\\pi$: the potimal policy that is learned about.\n", "+ behavior policy $b$: more exploratory policy that is used to generate behavior.\n", "\n", "assumption of *coverage*: $\\pi(a \\mid s) > 0$ implies $b(a \\mid s) > 0$.\n", "\n", "we wish to estimate $v_\\pi$ or $q_\\pi$, but all we have are episodes following another policy $b$, where $b \\neq \\pi$. \n", "=> importance sampling: a general technique for estimating expected values under one distribution given samples from another. \n", "=> importance-sampling ratio $\\rho_{t:T-1}$:\n", "\n", "Given a starting state $S_t$, we have: $\\operatorname{Pr}\\{A_t, S_{t+1}, A_{t+1}, \\cdots, S_T \\mid S_t, A_{t:T-1} \\sim \\pi\\} = \\prod_{K=t}^{T-1} \\pi(A_k \\mid S_k) p(S_{k+1} \\mid S_k, A_k)$\n", "\n", "\$$\n", " \\rho_{t:T-1} \\doteq \\prod_{K=t}^{T-1} \\frac{\\pi(A_k \\mid S_k)}{b(A_k \\mid S_k)}\n", "\$$\n", "\n", "So we can have the right expected value by:\n", "\n", "\\begin{align}\n", " \\mathbb{E}[G_t \\mid S_t] &= v_b(S_t) \\\\\n", " \\mathbb{E}[\\rho_{t:T-1} G_t \\mid S_t] &= v_\\pi(S_t)\n", "\\end{align}\n", "\n", "To estimate $v_\\pi(s)$, we simply scale the returns by the ratios and average the results:\n", "+ ordinary importance sampling: $V(s) \\doteq \\frac{\\sum_{t \\in \\mathcal{J}(s)} \\rho_{t:T(t)-1} G_t}{|\\mathcal{J}(s)|}$: unbiased, but it can be extreme.\n", "+ weighted importance sampling: $V(s) \\doteq \\frac{\\sum_{t \\in \\mathcal{J}(s)} \\rho_{t:T(t)-1} G_t}{\\sum_{t \\in \\mathcal{J}(s)} \\rho_{t:T(t)-1}}$: biased, but its variance is bounded." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.6 Incremental Implementation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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EbOjYBt2m+GRa30w1ri1JxE70W+MnxI1481ZbMe2xFpwZY/8nDEHY7tkFU2aO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dHCewvCzmzk48Z9lyOGvDLscLPmr/fFvsTZwOHEowsukWKSGX8e01xs0cBUD13dl+L67VD0MjXE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\n9u4ThJcm1LhPkGnXVPo+YPIbdB+Blvu/RX1dXbIqtQzcjgNgL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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/off_policy_predict.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.7 Off-policy Monte Carlo Control" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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jeubeaz6uXDt3VJN7QdSF67R1Qu1ypdRvKc9fxskepAYlbZRl5yKtqS68lUTn\nWZw7Rh4U9ZbbxIrbeR4lpIB7E3HFism8d1HRPh9S6c1G9SBvrsLkV6/7QIwb5KZRdnWVOs/zySfX\n8ulSRgYXF6L3LsFQ32mYTt61Xr1GYO7mYBq4jsGuFSuw++xVhD+hNjKuBPcB3TS0ZL2SouUkPzIk\ndHQoNUlpAYG7zN6G+X060I+IaCwZ4IYBG2UeL/q2qGnj2vQt3rpO+eg3VLOCH9AgJxlgjfrj8OG/\n0M7kFU6tpTdeU3XP/dJLJaOIfuyYd/dAZfJMnYEQxYTGMLGWee00CkcX3JIqoxeMQ9NiibT7Br3x\n7NwfW8/twagudfGYjK8n1t0wwq0eBPR9Vw+iuMe8oTq6x3dIunYeRZzrwrJYzjxakfHWUe0NVHUd\n7JwRYAQYgX+LwGczwLgKnZixCvdpOA4WTbFytqeyjnUGLcGgmqZ0nYIds3/j70tKGfJHA4UlQP+0\njeTPKe4trjcnF6J/797o378//+fd3xdn5b++OUNG6OAkf83fBN4da/G6Yq+egij1Am7GclaFDVz6\nOvL3a7p+z3uCpLG3ZZ4gWmuLD4oj5S17bhvQVPBwhEe/o+jicKF5WlwQ2w3AiW2b8bP8QaqH09hw\nNo5i6EFD88ZWbgrl5fL6MCQjsYRVRV6E80QFxco8T8lXd/Nl4iJkROhEWS7g1OQp/NAgjL/D71vm\noJW1qgmdaX7XIidTHFq9jter/SE5eZk3FGFRD8NdZUZao7GbyFMzGc/vP+PFKzdz5Y9Z9NDrxs+t\neYnj+x7SPQUTyN+qU10XpYdeNrl5uOYSlrTCB5p8XbVmNd5zqWhXbc/YvQLnZ8Dnl2ntjVnDeqKz\n12gsVFtWgS+s2oe0qNzikjPLL5/cyqemUnkaEkJDfBQqN3KCOT38o6Ki0GJqAGYNcUG1lj/A84fK\nWDlnCob3/wl7ErIhNOVaMA3JnPVCIcPYFu2dG6Gi3EhQtC/HjwtGynaW1YHz1PJnBJb7Dmi3QalS\n5nRPggub5uBcXDbatpX1e6lxCV5awaJY0WKoVtWeJurLPGSKfKR0XxZUbamdD9+25IlLJ6Pu0fXz\nuHTpCs5du07+0dKoaprT2JErpIMJ+nk2xLsbF6g/1IO90BwlS6n6qkqOuNi5orboClz7j6PtO6ag\nV4fW8D8ejx/HLuV35Li0bQSMbhzFDh3eNm5YvXtlPXopJhJmNK3BoHxt5dIxnDd4zVJfNKntgLY+\n87BK7X+Qev7snBFgBBiBf4OAzs24Fy1ahKNHj36S8nALnc5eOBTOVcvSs0IMsUQIekEQqU/+xh/T\npiKI3vyTmHbC1r3jUUlucL29uR+XSrZDl8pG/JuQ+vovsaZXL+yQvyWoXjDuwXx4W3+UlEhIVkIP\nCiFMhGI8PLsNQ+b8yYtyk6dnbZgC58ol+KUdjI2FeBNxEnOG+eO69U/Yv20ITdAnUcr/7gpfJHrO\nQWv5xGnxnT/RfvR5jF/xKzrXLI0PtDyFlNJHH16CwWqTxbk67D04Hpl7p8F7+WX1Imqcc7/25+xf\nCydzzntAGSbfxpCu43DNdTJCJ9fDGrefsBVu2HlwJGy4OnGpaahKL+Ey+nhN43/xc2/MDZg9FT82\ncYAJqeDqrc8NZ4mfY/evU/jFZDUyVbtIr90b22huXBVzAxkLYQp2Tx2KldffoN2kZRjVvha9/SmC\nhDwWguSn2PnrOKy9bkiTzzfz8594VYm38df9krS2W0W+fPoiqkOXhXBeEYgexIgL8Wd/x0+BmfJ2\n5epB7wHSkiJDuoxSegfzym8G5adog3d3NqLL6AgE7J+P76ncz3cMg/eaCD4f9Q/uYXyY2pKblM7l\nJ6G26zB6fa71Wv2gSZ7lU9etOG81fAHGuDeEiUREc96MUVz0AMsnDIdwzD7+R4WE2HF93Fg/Adtm\njsI64lq15zwsHdiUN6Kyid10j3EoPnsjphA/PhCXgYOvYN62wdQPqcWpLW+s8EOq5xQlA+47cdmk\nDTpXNZUzD8NkGuIcO6AtDZFLICan1/v4aGSXtaVrfZoXthGuq4n/b4NQheYackP2x2f2wZyotrL+\nzmcswc0lE5Dee0GebTtgSgSW/95LbgTKiiz7zOt7OQDB235G0EhXLAmrgMBz61CK5hd6r1F46VR6\nuP5cp7YewsJeqG7SGXe/oWttGMeH47xWnELQatBa7PQQwdtlDOJcZ+LM5MbY3quz/I1iE/T89U8M\nbMz92HuJjSN92MKzCnDsyAgwAp+dQMeOHTFhwoRc8/nsBpgqZxPY2VVCMfqJ/SbmHl5oLSmhkivc\nmcTUE0EHh8Dg5h/oMH4nP5z2Pi4ux2vuMq0mFG9Chkc8Uj8qf1l6hf5sNMfCHaOgd3gGhkR1wo0A\nR8xp5a30YBWuJh8nbW1th1KliiE9/Rl5ZFIKrIRbIqAcPZjjiJV24Ick6YH9Ma/xZ5uaojyZJoVp\n38Lk1+OPvXC9Og39N93XLna+14XJJz9lsqUPVIxMrM3wjpY9kHFN08FO1nd08c4vr/zitcuiLc/F\n6+X6ndCWznndY8VRDK75DqtHTsfNdJo7SCIl2w/FTHqhg3tpo78Oo4rzgNnZmVKflBlVxtZVUIS8\nhgXvoTnLoesOx7s8EpT9raydNeKjZH26iOsEbOtRClGogJIv38LI4Br6jt+qSw27xwgwAozAJyeQ\nnwFGbpMvFd7RP+OwT5pZtmktjBjfiv7VU6jWDqO6P0DgnryG/97Rg5EbTvzYoJk+064a6pWxgL7X\nROwRVsJz8n5xk9u/ZIiLi6I6FT5HvdR4xKlNCFfX8E+MBL3UVGj6MdQ16z4vaH729Nbb4KrpWDQ4\n52sTujVr3i1oPpqpdF+9I+jqPYkzvriQO1fNvqNb68fd1S6LthYu/p+EpCRu/p4VWv3YBgknbiHb\nvAra1rOjexKEhd7LRTX3fVcR4uZrfY7A8Vbvbwrji8vrA01b6HESaD9pGkqsmq9zCPNzlInpZAQY\nAUagIAS+oAFWkOIUTkaQSvOmDN7h1rWLyDAwhWVJ2dyXwmn5eGlh1F9Ycbg6PJuUw+sTCzAxj6HH\nj8+FpVQQKFfyLbZNmqexqK8ijh0/H4FTtJDs+57D0LVZQwyQ71zx/gXtsbn6T9rPVe2tjc9XhH+k\n+XjA3H+UniVmBBgBRuBzEPiCQ5Cfo/hMJyPACDACjAAjwAgwAl8fgfyGIHW/lvT11YOViBFgBBgB\nRoARYAQYgf8bAswA+79pSlYRRoARYAQYAUaAEfhWCDAD7FtpKVZORoARYAQYAUaAEfi/IcAMsP+b\npmQVYQQYAUaAEWAEGIFvhUCeb0FyC4jVrVv3W6kLKycjwAgwAowAI8AIMAL/KoE7d+5g4cKF+ZYh\nTwPMyMgIprSwJguMACPACDACjAAjwAgwAvkT4GynggQ2BFkQSkyGEWAEGAFGgBFgBBiBT0iAGWCf\nECZTxQgwAowAI8AIMAKMQEEIMAOsIJSYDCPACDACjAAjwAgwAp+QADPAPiFMpooRYAQYAUaAEWAE\nGIGCEGAGWEEoMRlGgBFgBBgBRoARYAQ+IQFmgH1CmEwVI8AIMAKMACPACDACBSHADLCCUGIy//cE\nBJIUPI59m2s984vPNSGLYAQYAUaAEWAEdBD4bAZYdmIEgoJO48qVEFwNPo0jwfeQrqMA6rc+JCcg\nLlmsfivHeUFkBJIEnN29Heu3HcULiUxFQdLlyKxQN8S4dfB39GrSCQtORxUqZWGE34aewYYNG3Ai\n/DV01bMwuv65rBhhQZswedQojPT1x76QZ/9c5WfTIMHT0AvYtuEAnsr7hCqrJKx164STSVLVLa0z\nKa2Yd3P2j/g15JVWDLtkBBgBRoARYAQKT+CzGWBFjK1QruhjtG/fBu32PUXpsiVhkGf5xNjXoQGq\nV1qBd3I5geg5wmIVV9zNnDK6VEr1TWBdQoQxPnMQI+YeqgVLp0tXQe+9Pj0fzkfMMXSgEHO7H1TW\noaDpCypXvFxpJK+dCo9Tj5GzngXV8mnkQpf2QrOtWRjgNw/T3Muib5ufcEWUuxHzaXItvBaB5CkW\ne3XF0hVT4RNZBOW0lh+O3DAOu3tuhI9jyTyUm8Fz7WY8azsSIXyfykOURTECjAAjwAgwAvkQ0HoU\n5SNdiGipsBTqOreAG4rAcVBPfF81v5VhhWizbju2pVWCiTyf9PvHcDTNDbXLK+7klNFdpOKo4ewE\nZ8EBeXRB0+nWVpC7r+6Fo4OrN5p59ETcT4BxQRJ9hExRizroOrAZZqVy5qx2PT9CYY4kYkRdOYcL\nD55SjCEyMjJg2eAHuDe00ZJMwZWZl+AbvBV25kZ4GEdeP4ETSgsFWnKf7pIzyC+cuYB7cWIYGmZQ\n2UqhYz8PVMwnz+uLB+B4t804Wf8cQnaXhnqn1xPdwrgxRbA8yT7fgkpRCTO3lEfV1X8jdXTjfOWZ\nACPACDACjAAjkBuBz+YB4zOUZCEFUgiyZMOKH8TJSIxP5IciM+Of4GF0vHJYUiARQc+mDpxqWPJJ\nBeLn+HPJXPJdpUMsFkFMw0baMrJKifEkNATXwx8rdSnylsXrSieBWCRCcnIykumo0C+TlyAh8g6u\nh4bjbY6hKoVG7aMYKRlkDFkWJV0SCI1lj/ik6AiEhIQiRpQlTyBBcmIi4hLTqS4piI6Oxbs88kiJ\nlaV/oeVVSstQ8zIR44IEgZjyi4ykId7c5fWS72K8qQ0GH4qGbfUGqF+7Nho0qIuqZXRtR2UGx7Gl\n4O+zFPepfpVajsKLpIWwV7duClCwFK4f5DH3SqHidfBymFjXpGFCMypTbdSu3YCODjDVz9vgE4jv\nInB+aQR6lMOH1FSFOuXx5bUDSPQbqKPc1A+iI3PMCyvbzgstZgXhuVID+VfFeQ+bq4myU0aAEWAE\nGAFGgCfweQ0wLcivLq2HbTVbuI2ahGlbzuLeidmwMp/Bz8kRJD/Eog7VUKHcOrwhs+vSxlUYe/Qt\nrv65EgtmLcaJZ++gKcMpf8EbDEtjMpF2YRGszCbgvo7hIe108UF+sLQZgG2ngnFoqiMsLa2x4SH3\ncE7CVi87DNkfjeyYY6hYagCuJKsZO1r1UVy+urIL/vMOYcmCOZgZsAGPyNAM8m2Fpmtukkg8/K2t\n4Hc6hs4TcXKOO6rbWsHErQMcHR1gs5aTyRnuBNRG+SGXIUgLxU/W5lj9D+YeZUWfQM9W4xDyLApz\nKlhhRWRazgyp7ss6tEfNq09wxn8YnJs2RN2GDdGwYVM1D6RmsubjDmF+pdX43roU5hwNQx62pGZC\n/uo9z6hR4BmE7x3F7zm6JPSNDjlAGnsEVdxe4eabVMzp34nKxJWL+3NAiXwMvtdnt+KQzyDUJM26\nyhd1+hK6OHOx6iEB67xaIeBqDMJWNIbpUlUbSYVV0KHGLdyX94usyF3UfyyxMjyncaeukZ0zAowA\nI8AIMALqBL6oAVa27TjcDWiMa4+/w4JJA9B94Eg4Z59EHBlN2Rb1MXezbPdwAwjRzMcPKx1M4Tp6\nJmb4z4SbrYmWDKAneomr9Fht1qgJnH1+w2/Yih1hOd9k09QNPA9LxObHOzHMoy0Er+ixPG43BlFe\nCQdnYtjxqdgzqSsau43HtSnX0X7HLXVeOs8tm/ZB4NK2QOeRCJg5FKXPzkOPC+644e9NRkIH/BF3\nDIu7eSI42QqegevhDD24TT2CpBtHsbuFrQ6d73Fj/mtU7umMBi37YtdSV0w8G61DrmC3InYvhKHv\nLHi27Yj2TibIyMppikjC92NyreXoTxwKGqT6ZfDzqru4f/UAknzcyWCdgDta3rrcdIWu+hE9wvoR\no1/gPnwyz6SylWKoWTPV3e1L4X1wuA4vlaZczqsUHPTaiiFk2HPhXVoGShqqz0R8j4hVERSjyUMc\nuhdjYzwxv5cLGtd34dOqPvRhhlBcfCTrZ4aWdbBw3Gw0stFddlU6dsYIMAKMACPACKgI5OM/UAl+\nqrP33AyvTvL5NtzwmUA18VlMD0hVoDk+NHyZwQ9fquaPqctkG9fDvgv7cGDLVIx8m4ab0nS4G+iu\nknq6ah5jUN1CgNClbhh2rDfu7mhH84LEuHbkGJD9GouWviETkN56m/cczZeqP7BVpdM+44cFM7jh\nPTFC9u9Hde99yrlsUv1iNBfuIa7QQ9u5dhqkgnYYWa8EDIROaKetiL8ujoExF2G2L4jeMIyH+NUV\nVG/hq1OyIDdL2lbHHu+a2EN+oAlbj2C6DiNLQrSxqy86ijZAkKry+um9uQbbsZdpCK+6RlbvQnei\nx9QDKHLxOMTrQ3AyNQJVTetg/rFB2OUhb1+NFKoLgfg+Fk+6gVkX9vKMMqNDcF5vJFaW1c1a39QM\nW7v8gKdOpVRK6OziG1ucPfU7GhjrHoaUxl7EGGkanBYMQqcFQPLFSwgb+ieZW/WV88AMa+rjRYqm\nAVa8lB1wzwNWplPgMnQF7s6tr5Ev1y+tzGT9LNu8BgbPrKERzy4YAUaAEWAEGIH8COi2VvJLVcB4\ngfK5ppWNup2Vry4huAf22sMS/OJRW0M6K3If7Fv0xcLDYfi9pRV2B+/FIzKAxKKiKKaVpXpCU9uq\nEIWsQIsZ17El/CRsk2/i2IsKsCxnCIwdDN/RrWXioydBIlFWQl1FHuf6KF5KHw94Y0whpmlYCOgd\nSR1OKIUwHV9gboWmODZ1Iw4GjoJRiCVaXc5CRnIi0owt1OTyP81IfITEuhMRcWMgQs9sRk/viegQ\nF5TDaCliYIEKnpsQtLZb/kpJ4tKKaWi64C5mlLyPK+ll6I4eDAUCvMWHfNNnPQ7BQTSGj53Ma/T8\n0iFgzFCYJD7Ba+NKOSfyU38ZcvgQFrSUzQ/MOwNqf4kQQmr/mxsmAbPP4ehomQElCV+Hks1ikO4P\npXGcESGBjdyY4vQKxEl4lFUTD8Np7l7YBczvMQI73DthckPVDwVDCBCjZbTlXSYWywgwAowAI8AI\naBLQ07z8tFdSoQEN1wiQkqaapGzALdCgGAbSJ8NE+gaZ8myFRjJPhsx2KgLrWsXwKI7k9dPx4MV7\nXkpdJvLMKnru+6J3y4oUl4S/w9NRDK9w7thdSiMzehQOMfV0esl/o2ebqRh7+D5+LK+HV1eO43aK\nFPbNfgaW7Mcjhc1F83vcF9+AXuJNjOk0Ehfic5/AbkD1lAV91Gj7EzBzJ57K72Q+u8sbHC1rlMhR\nLrmIxiEr+jr8UQVLxnUC99i//ecfCEcW7uxbhas094jPS50hySjqqaGIjNHdVVqg5YYolKtaFz94\n/0AWRi2U0eExMqjaFj73hmNVLvOwNPVSfkZ6CDhyDR/K1sf3NDyslxiG49IM+DSvwovG06R5j1Fb\nqTVyhqJW5akcpjCncnBLRKwYfQ5+bna4vmiNkpl6qpqeg7D6h4U65/epy3HnkRt+huWPO5GSfAmt\nl9TCxSH1lCKy1kvF4/DjWBP0gO7TixNjm9BLIkoRpIetobl5g5BR3haNO/aFt5MZTM04f6gqZMAR\nTvbUlhQUfeN0Hn1DlZKdMQKMACPACDACMgJFZlHQhnHlyhU8evQIzs7OsLa21o4u0HVW9FmM7z0b\nd02e49DJU4gVVUC1lztRf+gumpceiWwzc0RvW4lVIZew43gyGn8nhb/vUtyL2YE4cyd0bmiL0hZ6\nGPTjQrx8Gokmv/SFvegSho5YopTxbtcQD1atwY1imbh24BTMaD7V7EFjUPbHH3F73lxsjryIKxEC\nNHXMwozRinTfQ7BnABaFvoO9rSXCj2yE+6Q/0GbQRLRt6oz2VufQpPVfsKrwFAFrnmHGnJ9R8s0t\n9JgyHQbNvdHR3jxH/Z8FLYb3kI0o/SoKF+ktvR96D4Cb1Sl8P+0IzFNvYOxPR+F/Yzval07CGp8x\nWHMvEdev3UX5Jq1gV0LTO8YpL1KiBCyiAzH9aDIE90/gqkF1GM8fhyDbvuilfxyNhmwghn/jg3l5\nhMybp6xni87NUVrjrUB9mFR4gtX3M+GQcQd+Q/fA96A/GlsWy1EHwAiNu7tgZ536GJtggIpGUiTG\nxeJ5dDReZ5uhbAnNNOVqOeJFj27oeeg2UsP2oWv/K/C9cAw/2cvmkCVe3ozxcy+g44heKF9UYZzK\nspUalUSNhN1Yej0GoTtOwbiRNc5TH4mr2xeDm5TLUTaBiR0GtHyKOnVbI4mG/Iyz3iA2NpbeIk2E\nWbmyKKb2M8KQ3i5dPGcEfvvtKdbf2ILWVirjSfL6Hhatm4KN18phzvTuKE3lEkoi8PMVE0xszhnx\nxF4vDf4rIlC7JnBysS9uuC7DjLaVyb8nC3qi25g+RYR+s1qDq2lmgqxvtPxlLOroaEt5MnZgBBgB\nRoAR+I8QiI+PR3BwMOzt7dGsWbNcay2QUtCOXbRoEY4ePYqZM2eifn3N+S/asp/7mlu6IlVijBLy\npR1y5ifB+8RkZNLQXAl61vLLQHDjT/8gCGjZi9ciCcwtzJVzhYrEnsPK6KoY3NKmwJp16SlwYhIU\ni5IhkujDwpxWFZOIIdEXKstTGD3cEhSvaamI4hYW5CHML3Arxl/BjfBYblYYBLQOmEm99ujiqNsQ\nF9FSHmIqFV9GLdX3NixEfLfxcDHXNMAUYlzaIubmfJm4cyGd59Vy3PDgjUuX8eAleUUpZNDSH216\nuuVYB4xbYkRqbKyjrtwyICIYq7Urtw5YJ5sVCEhah5pK41XMy0mF5jn6Xey2fnBPHY7rPv/u90LB\nkB0ZAUaAEWAEvi4CN2/ehJ+fHzp27IgJEybkWri8nne5JvqSEUW4h2CeGdKcKzIsistlhP/Q+OLU\nSIXGsFA5TujOe+ydvQ6Wszdx0QUOOfUUOCkvKDQ2518G4C8+0vji0kqFZlr14TXm8qGPSo4t6C+X\naK3bxmQ06Vp0Vo/m1QWeMkJAf93GF6eGS6sI6ueKe9pHbnHf+m1/oCn0eQchGV+6gz5vVKvHcS9y\nLP7tA0bueoDjvWrIo4Qkp9EB+PsCSRTmD9XD2peqYU11XeycEWAEGAFGgBEoKAHFyEpB5f+TcgLx\na5j3+xVdc3lL7z8JJZ9Ki8lJNWTJIH4OWz6i/3p01f6B6HVkEK3l9SaPsqRgi3c/2AcvRN18Vt7P\nQwmLYgQYAUaAEWAEeAJfvQfsa2gnqbASLUz6NZTk2ylD0fL18/VUfT21MYP3juN4Fp+da5G4N3qb\nLghCFeW2WLmKsghGgBFgBBgBRiBfAswAyxcRE/hvECiOCmVzr6lU34yMr9zjWQwjwAgwAowAI1AY\nAv+ZIUhu78XHBdhzsDDwPofOwuSfl2xG4vNC7GWZl6ZvJ+5rbo9vhyIrKSPACDACjMCXIPDNe8Ay\n4+9g766DuJPA7W9YDI3c+6Fbwwpa7JKw1s0NWbRfo88n9GJIid7N2T/ir0G7aaHOgiwSqlUsHZd6\nyY9w4FQE9OmtAm4Pb2NapSIri9ZTo+VAbO1pr0zz/N9jlMafQLdut7Di6uR8XmDQLIBAkoQz+0/g\n6TsjnW8XctJJtPyDXtny+e7BqKm58FeKfEoigcp0Fk8yzdDesxNs8uixn6M9Cl9yloIRYAQYAUaA\nEcifwDfsAZPg9rZxsKg+H8VdfsFcf3/MHtUZp9o4wmtbmEbNIzeMw+6eG+HjyC1r+imDGTzXbsaz\ntiMRomMT8I/JSSosiXJFH6HHiliYxW2mPSXFsDFPw9Q2LVGLNtIevVuzbjnzSMJv1f0w7LAvKuWM\nzPMOP8xmKcLo0f54oViMVi2FQHwLlR0c4Ln/kfLui5ALtPl4jpVMlPEfc6Kej1TfBNYlRBjjMwcx\n+ebz6dvjY8rP0jACjAAjwAgwAvkRyMOfkF/Sfzc+dJUnWvpa429a3LWG4q00WpV9ydUFsGoyESHu\nQWhI97l1nsaNKYLlSfafpcBSMnNmbimPqqv/RuroxnnmkRp9Byev3sQrWmBLSKtspZnUwQCPZhrr\nVfFLLbRrjUlJBmjdvDT8UjqgQUNT7Fz1AKcdvaA/dzrOd9gGZx2r2XOZp5wOxCyfuUilvS4LH2gJ\nimZOcBYc0JlUKqyGSzt3IquRarHUuLPHkWzvBPucqzbo1FGQm5r5FEMN59zLpK2vMO2hnZZdMwKM\nACPACDACX4rAN+kBSw/fiRaTTuG3kACV8SUnZlSlGW18fQ1hz2gdBAovrx1Aot9A2OcwNSVIiI4s\n1LywlPgneKhjHlnZdl5oMSsIz+VlyHl4j1N+rVHuu3X4YFUNTevVRu3aDdDIvjxtK5QzCMRZENNe\nkuKsDNomR8wLlHaogHQaUPy+RY089pEU4/z6UKwb1lxD6QdRAu6EhGiUXSARITExnl9wNiP5OR7H\nv5WloQ3SpbRTYlFaXjUhMhLPaOFSRZCQB6pC06aoxo2LUkiPPoHR80IhSBfRorEi2uSahk1pQdUk\nWgX4HS0cm0Sr6Mdx46h8EONJaAiuhz+meigCtzBqIuIS02lLohRa2T6W0nFrzmrmA27TdkUgvWKx\n/I/LkHJVXCtE8m8PhSQ7MgKMACPACDAC/w6Bb9AAe4/DcycDTovxU1WjHNRk+y5+IONFFhV1+hK6\nONO+MhohAeu8WiHgagzCVjSG6dKbGrE5L94jyLcVGgWeQfjeUTA1NcUStT0TpcIq6FDjFu7TPo26\nQuSGYZhp5ofUlGXwbNuM9hpsiIYNG6KRY4U8V37nbEauHtzcrEMBM3FgzSQ02GqEGrmsLC+QPMfx\nIAnKqW2JkxW9CyWs+yEWaTgysS6aB5zlDaUPr2lLHVsHVHEZjJG9GuC7ahVpHaxUvvjm0pNobTMc\np6KicGhyLdj5HuZ28MTrSxtRoUIFWK++Q2VKwO7AYQgDbSUVuBgz527hhyJfnFqOytWqwcapL0Y7\n1kf1cr9T2ucYb2qDpTGZSLuwCFZmE+T7Oibi5Bx3VLe1golbB+LiAJu1NzXy0eb59vYBtLG0gqWl\nJfY8y6QdOJ9jnmU5WJaZr9zDM7/20NbJrhkBRoARYAQYgS9N4JszwATixzhMeyR6DGpFfpqc4X08\n54ciI6ciF/seEasi6Mi7SpTC4tC9GBvjifm9XNC4vovyfm4noat+RI+wfrjh/wvch0+GM+0MWNlK\nPXd92nQ8FBcfyb1IGoqScGSMGIFDmmvcLdBFMUPM72IHk5KV8cvRJBjU7YmYC+NQLpfEAnEqmSO1\nYK02PPn86nGglhftrdkSE1Ztxt352xApkdJEeiesurEUIDyTjz7Fua074cIzo2FMVMPex+vgTdso\nDF97B8NWDsCAg1Eo23YE7ga48rlL9cugT+BhGq5sjiFzZyLAfyjvjazm4YutTrR3QaNB+PPNbWzZ\n3hpGope4Sm3QrFETOPv8ht+wFTvCOFZl4Bm4nufpNvUIkm4cxW7az1M9H+2qlmjYA8FXl5FV6oF6\nFQzIW1cG9fqNwJkEPzUvZ17toa2RXTMCjAAjwAgwAl+eQI6BuS9fhMLnmEKPXWc7XW8dpuDIgkCg\n01zUlhshhjX18SJF0wArXsoOuOcBK9MpcBm6Anfn1s+1EALxfSyedAOzLuzlDb7M6BCc1xuJlVqr\n4mdQmazMcuIUiGOwV3oMs9y94MT7kRRZvUW03UhcD+yh05DkpCTpUizadwip64+hbGdjHEs1zfft\nQ2PaVLqUIgs6Vu61HOeN/8JsX1+kpz+jfYneIpkb1aTdesRpNBnNoTHJC1HJraMsFRcnKIniyjld\nZmg+1RIznyRShB2ZtGpePrmbkR8lVe7+k4F3bz6gd5cqkOpXxI8dK/F6913YhwNbpmLk2zTclKbD\n3UDOSpwGqaAdRtYrAQOhE9rx0pzprJaP/J7ioO/QCX7S8Vh5/hVWOdK8usrtsEoxD1AulFt7KHSw\nIyPACDACjAAj8G8SyGkx/JulKVDetCQDDTwpwsvwG3hhWgX1ypdAcvA6DL2YjC3hKqMmI0ICGzXD\niNvQ+VFWTTwMD0VM2AXM7zECO9w70TISut+QzHocgoNoDB87mcfr+aVDwJihMEl8gtfGlVBa/uA3\npDLFaBl6XBmlwopwd+iIpXu38y8FKMpdsGMm3pvVw/hpUWi9FfBKGkNDn0cw1tE01+SiSzFIoliF\nfy5kqTfazKyCEw/mo2npKIRvGgfJO9pAWyjfYTMiA2ozrJR6FfYR5z1Mf0sGbBllVI4TbvmHrMhr\nuG/5PerQ9o6c8WNtodrBMytyH+xb9MXCw2H4vaUVdgfvxSOaYyYWFUUxSisgwzRL00bOkYfmjVLw\n2toHVX/7E61dkuDq6acZTVe5tUcOQXaDEWAEGAFGgBH4Fwh8c0OQUmFluHuWxKw9NxBzZQ2Whb7D\n0+1rcCrkEDp1mQ2/M1H4sXxROcriqDG2CU1kV5FND1tDc40GIaO8LRp37AtvJzOYmsncPfHBy+Ex\naqvGZPqiVrRwmMAU5uRRE0ieYsXoc/Bzs8P1RWvwVKWWjA5HONmrjA5VVCl0HmiIMYHntAZCVRI5\nzsgokRoaQGhAZgRnmTj8gsk4guSuvnjuMxbBiWoVUkssFZrS8OQ9mviu8B6lIGTmZXTbOx5NyGOX\n9fAyzqMssm7/haWXX0HfQGbI5lhZTHoFT+MUebzEqZWJGNPIls/JgDN+qWxcEEgkSJLS/olU3vfP\nnsgXfi3CGz+8gPwj8swqQM8XvVtWpDtJ+Ds8nd78fIVzx+5SWpkulcEnS6Sejy6Zsu284XZxLvr+\nXQddtLyRnIbc20Omn30yAowAI8AIMAL/JoFvzgDjFnDouuwM5j/oi9rtx8OwhACit+vg3vYUfn2Y\ngMGl4hGjNEAA+2a1seRsuJKxYbl6vEF16eBuLBrYBafd/8Jg+WR+8fOnOLFxO56ppc+2qIctfcWY\n7uePyTR/yaxfe5wMmIS9FX9UerT0RPew/369XCfHV+2/GjPFy1DSbADWBp3HlStX6C8Yl0Me5zDK\npLHnMMilM34fPRDuDQZjRvuOmHwwBq7+i5AwZy7Whf+FLlWG4I6ONbGk+uXQvqMI0a8U7xmaocXK\ngdjnPhK/rVqAsVsTMaLjQ3T1uo56whD0/cUXqLENfQf+Kp8Uz2EyQK1OHrj86wQs2bAB45p8B9Gq\nk/BraolnQYvRYNJJYNIk7I5MRbZxTcwfZ4QO3qMwZP1TWNPLAddXTcVQmszv79MOcw4+4LlXbTce\nP2QfxoylK2kodBksx3XHzBZNcbFIJtb4TMJ5MuKGURmPR8vKrZ7P3rBQLPKeSDKXMLifv7KcUmEd\n+IxzxuSxrjleZMivPZSdgZ0wAowAI8AIMAL/EgGBlIJ23osWLcLRo0cxc+ZM1K+f+/wo7XRf+vo9\nbbfzMjUNd3/tgNXOR3DSLR09XA5i/lU/VJIXhlsHrJPNCgQkrUNNfZnHh2Y/0fIHIhoeNEcJY3Lf\nqIV7GxYivtt4uGi9acgtr1DE3Jxfs4s7F9K5ImXstn5wTx2O6z55s0qLjUDwtdt4k8llSOuAGdfC\nz26NNNYBUyvKR50mB89AhX3NkBqomE3FeapEeE0Tv8wtLKjMtGyDRB9CReFzzYVbIoLqbGwBE+V8\nMN3CHA+psTlM8tQpwXvSl0n6SpA+sVgCYf6FyJEht6TG03fFUaVsNjaPWoWWgTkXnC1oe+RQzm4w\nAowAI8AIMAL/kMDNmzfh5+eHjvQi24QJE3LVlucjM9dUX0lEcYtysLWg+U6eA9C72/cw9gGGHI5S\nGl9cMbON62Hxbx8wctcDHO9VQ15yIRkjOa0KzlgLPGWEgP4KQ01VUWMyuBRB/VwgicL8oXpY+5I8\na/kEo/I10YH+PmcwbzkK/j90wX5fF3QtK3NwSvWNYWGhmCVfEOOLK6E+b7AVpKzqPHKX10dxMgBp\nhyU+fIzxxSV8vLU3Gkxuh0t7gFvNu6OPTJ3yszDtoUzEThgBRoARYAQYgS9M4BscgsxJyNK5P/5a\nugCLdwZjfsucb0dW7R+IXkcG0TpXNF8pjyB+J8TIJYNQMg8ZzagUbPHuB/vghair9RaeptyXvCqF\n4Y/nYX2NWcp1sb5k7p87r+peizCvz0NsflQb/h52Wtl9je2hVUR2yQgwAowAI8AIEIFv2gOmaEFu\nTar2/YcoLnUczeC94ziexWfriFPdKlq2JmqrLvM9E9D8+KYLglClvOKdw3yTfBGBbItWOPi0BlK/\nSG5fNpNs8zoYEbhGZ6Zfa3voLCy7yQgwAowAI/CfJvB/YYAVrAWLo0LZgkkWVIrfvJpekvwaQxHz\nMrRx0X8rfM3t8d9qCVZbRoARYAQYgfwI/F8MQeZXSS4+gybsc8tZfcrwgfZQfKH2xuSn1M10MQKM\nACPACDACjMD/L4Fv3gD7kPwIR1bNwahRo+hvFvaGvkJ24jUsOximbDVp/Al067IVKZ/Y32dAey9O\nshmpc0kIZeaf8IR76zOSNqz+1IbkJywiU8UIMAKMACPACDACBSDwTRtg93ZPQ4kK9XHb2hXT5i3G\nknm/4MNGD5jbuiKxtJW8+kn4rbofhh3OuVxBAfjkKZJt0RjrguvAacT+HOt55ZnwIyKfBc1D2T5r\ncefmfnQq5ZnrYqwfoZolYQQYAUaAEWAEGIEvTOAT+4S+XOlDV/VBC18xDkcnoaWFbDV10DrwngG/\nIXDjULSuWZovTMrpQMzymYtUi5xLS3yK0gode2LlvWrYHNkeA+QLuuamVyIWQUJLQhR2+Stp9H7a\nT/suLiTthCOtZdbB5j2s7X7H0+RxhXhjM7dSsfuMACPACDACjAAj8KUJfJMesPTwLWgxaT9mBdNC\nnErjS45O3xSNnNxQhV9IVYzz60OxblhzHVwlSIiOxOPYtzridN0S43lkpI45X8Xx4+9jsWH/XV2J\n1O5JcGpEL+yO51dhVbuf/2lK7H3ajqgtqsgXkjWp1wnO2bvxgM0/yx8ek2AEGAFGgBFgBL5CAt+g\nAfYeh+fOBGrNxM+OulbsKg2f3/qQL4xbAf45jgdJUK6EwkOmaIEErPNqhYCrMQhb0RimS28qInQe\n9RJvwsfUGqvuRGCXZznaO3KAxrwvQzMbhB28QVtK5x6KxJ+B5+4WaKfcpzJ3We2YFxE6yifQVXft\nlOyaEWAEGAFGgBFgBL5GAt/cEKRA/Bjnjqag+VIX5FxylTax1jdD1apmPGuBOJU21q4Fa9pIWz2I\nQ/dibIwnXvZyQcpuF+CFeqz2+QvMtW2PjJ23Ma9jRYhsojGroxTl1RZeLVrBHp0pJ8X21doaMmMv\nYoBDD6y88UJnmbXlta8NDDXLz8fThtnP34oB4xxbaWsnZ9eMACPACDACjAAj8JUR+PYMMFpK4gWy\n0fb7SjpRPg7aA1ELd9SVG13GzSuilJZk8VJ2wD0PWJlOgcvQFbg7N/c9HJODN8Nf0AM3XSvyWh5f\nDAJmBWjMveIWAAUMtXKRXWZFH4EFzRPjQtbCX7AjLkUWoeNT7801lBl+Hmt7aS4Hm5WRY7tOSl0d\nVvlt0qgjD3aLEWAEGAFGgBFgBP59At+cASbVN4AN9JCRxls9GgQFkvtYtjUZMzqqPEaiSzFIIikT\nuaRAnIRHWTXxMDwUMWEXML/HCOxw74TJDXUP6fHDf83dUIYnlYLL88PgF1yG5o/Fwsy2PL+RtpSP\ny9Aoi+LCwLYzEh+exKhqHdFgwrp8J+or0qkfTaxt1S+V5wbfXOspi85OGAFGgBFgBBiB/zSBb24O\nmFRoD6+hlvh11Ha8Ums6gfg5lrtNQIN5PZXeKanQlOaC3UOc2mT19LA1cHQchIzytmjcsS+8ncxo\nTpdsY+744OXwGLWVBhNVwQBkzLk48AacOPQgfOEMF6t4/LbmDhQzy7LjYnCEPGCKa1Vq2VnRso3x\nR/RerG20VKPM2nK5XVdu1BYIP43HEpkn7N2toziv9wMqaA2t5pae3WcEGAFGgBFgBBiBr4vAN+hD\n0UcL/8tYN6ob7MwuYtbK7ij5+jb+OiXCyGU70N7WSElYql8O7TuKEP0qHU2NZfcNy9Wj2fmhuHRw\nN/Yc2YJH7n9hhXz5CPHzpzixMRzP5v2McnLjprrXZPSqOB2z0BjPn7yHV3MR5o1djc5+S5QbaXJv\nKTr81E7pZVMWQO0k28IJMz2W4kRsJrwLORH/Q9l2uLHyFBp4+2NrjxJY4H0ROx8e5F80UMuCnTIC\njAAjwAgwAozAN0LgGzTAOLKl8FNgMNz8EvDsRRL0TFvh59EWSoNIxV6IlkOcUSHwIn4ObMffFpAx\nk5rSEsmJIkjbdEUJYxWCyr0W4UrGQsSrjW5mm9fHqpR9SE6WwNzcmHSI6Rx0LvOaASnY/kMght0e\nrcpW55k+Oi7bhXT9ojpj87tZlcoW2/oRnrzMxF9xg2HDvF/5IWPxjAAjwAgwAozAV0tAZX18tUXM\nvWCGtOG0Pf3lFcxbjoL/D12w39cFXcsqRlyFMLdQGFCq1HqiWwg8ZYSA/qo5SdSB0gAAQABJREFU\nZLJYkjdXyKmfkzkW8id8+67DGzXPm0JS+ygVCpEzV22p3K/NytrD8RNvKJ57biyGEWAEGAFGgBFg\nBD4XAYVF8rn0fwV6S2H443lYX2MWHql5tnQVTPxOiJFLBinnkOmSUb+nl3gJHm1j8HdAZx3eN3VJ\nds4IMAKMACPACDACjICKwDftAVNVI++zbItWOJLcKm8hii1atiY0F4DIO0m2RXMcTmmetxCLZQQY\nAUaAEWAEGAFGQIvAf8ADplVjdskIMAKMACPACDACjMC/TOD/3gDj1utKzwNySnx8nvF5JGVRH0kg\nvzb5GLVfqh0/R9k/pr4sDSOgi8CH5Oc69qvVJcnuMQKMwL9N4P/aAHuybTy6HXrKL5aaG+jM8I2o\n5XsC+UwPyy05uy8nIJAk4e/df8DX15f/W7ztPN7ooFOQNtGRLN9bX6IdP6bsH5ITEJdMW0blEl6G\nnsGGDdtwITavnwm5JFa7nRQbi7efoBNnJ97Fng0bsD/4sZr2jzvl+sTZ3dupfgcQI9a1m8PH6f03\nUn0qvh9Tdr5Ntm3A1qDb+f6fMqD9byfZjNTYq/Zj8mRpGAFG4PMT+L81wKSxR1B3RSWcGO2UJ8XS\nbafgTwRgSrD6sq55JmGRWgTSI4+gaUlb7IAjJs31R8DcyagRNhiVmi7GCzWjoKBtoqW+QJefux0/\nruxi7OvQANUrrVBu1C4QPUdYrGrbdhMrczwZPQqnEwpugGnrEIhvobKDAzz3PyoQq7yEipjbwCL1\nCPq4HdBpQOeVVjuO25e1iqUIo0f7a/QDbbmv/bqgfLXb5WPrpa2niHlFlE0NxrCeZ5Gaj9Jsi8ZY\nF1wHTiP252us5aOKRTMCjMBnJvB/aoCJcWjiCPiu7J3n4qgKts18Z2O123KNFfAVcdpHsUikfes/\nfZ0evg9WDXqi+5lHWOrxPUrQax3cg7ej/1kMujcfgZcVhm3h2uRjoBamHQun/2PLLkSbddux7ZSH\nsh+m3z+Go9EqY8uobH14B3QqVHG0dUiF1XBp50782qpcofToEpbql0Kzjh0pKvedHXSl031PH5Wa\nOcFZoHubL91pvr67BeWr3S4fWxNtPdz36fsW3A/JgrWJkPaeXXlvJDZHpn1sEVg6RoAR+AIEvlkD\nTCIWQ6zxJ6JrmbtFTxSBtce88YujaQ6EAnEKoiMjaVgoSxmXbd4Ye/vcwYl8/mEJxHfR3/WPj/YM\nfBAl4E5ICB7GvlXmLZCIkJgYj9ciCTJo/sbjeFUcdx0ZGYt3EglehF7FpfA4WTqJWJ5GCm6YJzIy\nWjnMlRn/BJE07+2dmueJS5QSG4GQkFCN+SGcMSljKBOWkF7+WiutsrBaJwI8xfwmg4DZJzGmoaVW\nbCl872SM1bej+ft5tcn7REU9tVTkcikQcXXOObevoO2Yi9pcb+squ6rvSaDoiyKRGBxDEdcv+XMR\n9GzIG1FDxobbLuvPJXNpKd904kzs5ZyzaBtRIW3smZ34BA+j856TqEuHhIb3KjRtimrGqs2wuH4R\nQX3tdmScmidEgue0B+r10HDE0pDl61yGBT+k0XBhM0MqYyLft1RyElrAOBFxienU7+h7pNXPkqJl\nfSxGpPpuQaJ2TiWRcVPVneuvIVTOKNLJhQ/iZCTGJ/LzMrm4/HgoGk3Rv+PU88Z7PAoNwfXwx0oP\nJDVWju8O991TD+/jHyHkCvc9jcVj+q7m5JuTo652UegsTB1z06NBUfF/j76/8m8uz5Xrf7JQHD/+\nPhYb9t9VFIEdGQFG4Csk8E0aYOEbhqKkpSUsNf6sYWk1mV/rKy3qKi54OOZYzysr+gR6thqHkGdR\nmFPBCiuUBpc+KlY3wO6QmDybKHrvH0j+xSWH3jwTySOzonehhHU/xCINRybWRfOAs/w/zw+0jdJ0\nWwdUcRmMkb0a4LtqFbEyPBUPd49H6Q6/486dnbApWRKjd25Ex2Y7eOMvM/4qpnWpgyrWZnD1WYY7\n94PhQfXxX7UAY9ecRdiJ32BjMUO57tmdgNooP+QyBGmh+MnaHKtDOK+UBPcP+ssYlpnN71F5ZZoj\nfz1qyyX5P/a8axZzcAUCYYe9P3+vQ/A9Xr2hx4ahLCq3Nnm4bRrc5hxEbNQu2JSaQCZd3iH+9GKY\n2EykOh9FW1PytG24pZagYO2olqBAp9plz068ibmtKvKs5hy+hMMBPfjznutC8P51CHpaloGly694\nlvAAizpUQ4VytFAvmV2XNq7C2KNvcfXPlVgwazFOPJMPRRoWx/mN0+G7/izunZgNK/MZeKppE8jL\nqVvH60sbUaFCBVivvsPLZcaeQ5eSnXA6JRNPN9DeqKP2kQEiRtAod6yKEKEEEjDFoQ6WhamMfXUQ\nUgNqtIvjUGXSLmqXaxhgWQIBwdx3IxEn57ijuq0VTNw60J6qDrBZe5PupyDItxWaruHO4+FvbQW/\n05rfJW7D+iLxJ2T9zWoA1T2N+vg0WHTbhOSsRCy2taE8XuDVpfWwrWYLt1GTMG1Lfjy4Ur/HKb/W\nKD/xONKy7qO6dSlsiEyFHrWRj2l57IzJRHbUftiYDcCVZCl0fXd+pDTbKA0X4oPmoZF/MPQtjHBn\nUSt8t/0hNPnm5Lg8LCHXti1cHXW3L18w5YcEtzaOkXF0+Z332idfWc1f11p8WvlCkaGZDcIO3lAZ\nnsr07IQRYAS+FgLf3DpgkvAt8LzaFi9Sp+APr4Pou9YJi6bex9RATxSjh5Y+1UhMz30Hh4o5FkeN\n2L0Qhr6b4Nm2HIROJnicpXrKGVhY4UZ0Sq7tEk3/mB2H2SAiuU6uMnlFPL96HKjlhc4NW+KHVZvh\nV/FPRI5rhZplnbDqxlJsaxiMySlPMejgWZhVTMXmJpsw8+ozeDgYwfjkHwisPQapyTVkWZRvhdWb\nF2N7g+EY99tMuNK2RHUDdqDBkTJ4c7Q3bQr+FFd8vfBU5Ec7BaThxvzXqLzSGQ1a2mPX0qOoeTYa\nQ8hj9V2vuXjhUBU2LXbgXnQ4ImLa4XD0UrS0EORVFXkceQFC6YFb62fU1yGvJ4rBifA09LaXL92v\no00EkvuY43MGE+OuwEVyGbWwC3yT5NIrs6L3o1q33dj77CpczD8ATr9ivWExjbLm144awgW90Cq7\nnkV9zDt3DOcsW6FZq5bo6GGPy4vroEbH+jAra4QRQ33gO20WbKld5m5eiN8bpVKbCNHMxw8rt2zG\ny9EzMY7aVREMyPy99qonTgZ2I89SU2ye1A9xYj9UyrHdVC46bEfgbkAw6pAnDUjCVupnhltvYCT1\nc7Tdi1um1XB2zEms3/gSPuPrwr68CTZeWIW1VC/dIRPQ80VU4DBwvjvXh2VRvJonGkdfhWfgevy5\nsQHMph7BBotwnM2yRWLQXPS44I4XV7z5odbv447B2NoTztROzrT1g5TuGiMDF3adwYStlzHdrTak\nZIyZDfgdh+JS4Ez1dLm6AKbNdmJo8jiqywnUOfod8eiRDw/gdXAg3Jc44G7KWFQiw9KXLP7j95+i\nqL8b9A4/wPSWXA2aIXLLBFTttRUv6fuh/d1xmL0djYMi0KtqY7wK24lidTfhu6oOqLf4MKLWpqJs\nWxVfgTgSq3NwNNTZtlwdGxayjrn1EVU76aORzyqcSb2INuLGVGdqqjoN0Wfodiyb2VkpVrSCPTqT\neZZrEysl2QkjwAj8WwRyedT9W8UpQL5VuiFkrTGMY/fjomN9TNCXwKB6JdkcG3ltnt04h3DaPFs7\nlLStjj3eNbEHNelBcATTHVRDlOVrfodqstEy7WQIWdobbWYcoPs1MdvrChl/ub/RlXwxCQOunkR/\nNd2cwsq9luO88V+Y7euL9PRn9FR6C/7lONpeUpxGT06HxrTDpRCV3Lj5N0koKyiCJynckIIe4u6l\nw7SzaniJ05eeRQ/JWovRRPmQprp0duCNTilK47uasbj46C1cGpbEwJiLMNsXhMmj4iF+dQXVW/hy\nKvhg4tgboVsfkTejCSZdTSig8cUlfY/7xx8CvRvo9Ag+PbMD59EEex0r8PnoahOpviWaOMSgO3ny\n4NQHf92eD/tceyR5HqaOBcatJ+OLMxBf4u7F9/BYVoXXr/jIqx0VMoU96iy7sA6meZbG5BMP0KHF\nA6yhR53h/pv4ZZw5DsIZy+XtwretMsMMMkOkyMji2lVlgGXRPbSoKJPihuzynDOlW8d7TgcFPdEL\nnJdm4IR/AJY+KQdBRgbukD+z7Hs7TJ9tjTYONrxc23FrsWxqXnOzTJVvD2eXKAM3PMSVJ2/JWEqD\nVNAOI+uVgIHQCe3Is3Zs6X5U996nnOcm1S8mk6f+50wrG5tLT8KJvNXQm4mnyXSDgvjNS/44Z24A\n7pQQIEMcD9QwQwL9JsrkNHWy5+P5Icw8eLyKoB8BffvKN6Yvg4mvYsloi0RXbxGczVQbf1nYUb6X\nghEp9kZVre+OviH1vwzZ96tC6/GIbNMKptzWrk5DsH/ZdL4cCr5SanfdHN/naNuPq6Pu9pXBUH02\n6OlP/zOm4PKkq6hw8DAc+09RRdKZgP9tSZ5MFhgBRuCrJZDr4+5rLbG+0Jg3Mm5t34q6rTdB+vgv\nnE2thTlqBa7QpBUczmv+9stIfITEuhMRcWMgQs9sRk/viegQF4QG8gdlfEQoPWJqqWlRnTYcvQX3\nyNip1T0FU3bM5n91qmILdhay1BttZlbBiQfz0bR0FMI3jYPkXTLEwhIyBREZar9WS8HBpyZ8501E\npl0anrf0x++d7DQyEmTRA1ctDf8Q5z0gKjEh/0x5gbkVmuLY1I04GDgKRiGWaHU5i+abJSLN2IKf\nNI9M2cN77Z6zmORQ0G2VisO+JT0oX6XxGXJ8bzzJxvcNq6Go6C6meq9Dp1UX4CL3juVsEwkSIpPQ\nft/faPU8EkFrBtAG6654E9glh+dSVqMPePc0C/9j70zgaszeOP67dSOkkoqKkBIizVhGDDL2bZqx\nG/uSEWMsDbImaxlRY8ne2Bl/jH03k60hS6EQQqVo3910df/P+96lW92bihDn+Ljv+57lOc/5nvf2\nPvc55z1n2Ghr/lIz5i58BI64ZpBJc5LewNRQ6gkrrB9zyRTvrKDuXHkh2owcj3AXP/zxyATHrx+E\nZ/O/cMjCHDZ9Rr+lAm0IRPew8YgYY/qRYcCFfH0njSzsU4UMys4N9XFh/qbFmCz7ETBpxjy8SX+C\n8y1+R2S4BkLJc7mt91hMbdgEe/vVlxYoxqeABrZyncdCVKoqxP0s5e9b3h8LKWQcrgsIwKsxndHV\n1wHXnJtCwE18I8+U55wZiu/g9Nk0n470J7O+eDxiM/jvDtd0Ie23qpFO3lEuKKkh4c+lL9Co/O5I\nSyBTqwnuR4Qj+WEoLu+Yix+H7CHPnpMslQwb0VMkq+RYU5Ynt1+GWL1LG3PlcPcIrzPVIKcsIC/4\n2jbj4btrH2zD6mDM4FyDnlNEeh8U+6aStYEdGAFG4EMQKJNzwLiH1+9LROjSuDL9QM7i5zok5qMV\nQhPW+R+BfLwI++q2Rbstj1CjXhN8P/R7+kvaCNUV3iPyKMW/wNcWih2380kDzDu6IGRjIvr7lmRi\nawoC3S6j9/7fYG+ihewHl8k7ZILsW3/Bm94SFGpxHh0oPA6cd+llghV2LJuHaZMWYdVvP6Ka7MEq\nV0y7Yt4yWuCu5U8cMVJDySTT0kZ2+DV4oC5WuPTgPVW3dqwn72A2gg/4IoDmxMT4e2FKeBekpd7G\nUK8RGLfvvrwK/phKE6uvBT1GsmLCrzxZiAYd+wMrduJOTDA8F/pDIyUA6w79iw0DeuCQyx5sHywz\nLmRFlPtEg4y0es2a4e+0amjYvAOchwxDOVMj3vji5u9M6fErLsTIHzdSAVybTEykBut/25aR56M/\n9IJ3YFuYdAI3l+tt/ShTpdgHZd3lhSu3+B5jQzZj7v1a+LZeOwztfhRDxkSgG3kd5UHeT9Lu04Rp\nowp4GE1zv4SvcP95Bp9Ni5upU17Wd0I6ShLJC6QuqJNB/U8yJNoNMXykEeb/77pCQJD3cKy+HQmf\n7luRZlgH9h37YvXJOYgKT1bkKXAiuUWzuaQh83EwDgk6o1MDYs/pR4HeGZAF2X3gtgdPZTGvI26T\nF7Al2snzC1qhIS2TMfbADtyf0R6+QYmoaNmU/IQBuP1MviQH/VBwnI0n9KUtDg+zZu2BY1txi+5l\nLkhormWvNWlwHmCIXVcfyjQCgg5upftlCGy0BZD3iXzwWvrdkWaNO7UeB2N16Z5si7E+q9E2NI43\nevg8xFcgTlTDsWC/lKyNBeVwmuXXGaiEnrOn4/DkMYjo2LWAFzon+hmOFvGtSQUkdsIIMAIflIDm\nfAr5a7xy5QoePnwIBwcHmJqa5k/+6NeiW9sx5kYLrPjZDuWyY+Exfyd6TRkMMyFnhNCejjpCXB59\nEt/O7ASpSSVEZfMnWHfvNWyyguE+/n9wpQnoLY3lf4LFuLZhN2r1Ho2vq8qNmILN1K9bA/+4HEP7\n0W2UjKWC+QrGaKOCeQp+G74T2vpPsPdCBg3JBGCqRxYmjdQjfX7BA6PnCLkah0adv4WRMAehSydi\nxNKVWLNuHVb7eMFz6VJU+34CvjIuT0bVKUwY6o07scGI1q8Ly5QzGOW0DrGxYZBU0ELQZnfMuvUI\nl8Pi0LZPfzSNW4W5x5IhuHcKAVr1obPEBSdqdUHFvdMw0P0vtBjhgu9t9BF+2w8rlq/CPrIx2/b8\nFi8pfcItUwyqfQeWjdej/zRHVFUy2StZtEHXapfQpucvuPLV9/hePwzjRk9Bc+8AHBtmjofPJTDU\nK8/jyN8nknLloHt4M+4Z1Uaa/yaMPlQNp5b2RVXqw9cvbmLgrLnQ+nYoulvJjeJyqNFcAwMXHoPw\nzjFcF1RDhTuXcP5JdUyZ8J2sn4vWjwX7p/CY/LorcmsYQPvFSVQe5YLONK/KoOJzbKC5Uku+rcFn\n4SbDj5+4Anef7aZ+akPz/yxgZKiBsT/8jpdPw2A/ZgQqX1gGu/F7afZ3GHL0qA92roVv4CXsPpmM\n1j0cUKuypqI66YmwoIyAP2A3bgtw9gEs+/yA7/v2hdHmHzDsogQVb/+F3W96w72XHs4s/wW7w0XI\njg/GiqUhmLLECRYF5NObiNF3ERobj2sXg5EQ8w8m978Ar8CN6GAUjw3OU7DhLqX9dxs1ydNsWUUL\n0vvgDL6ZcxT6qdcxtf8xeFzfha5GCbL8F3Av3Agt2pgiY+0erPBbgRS78Vg92wGLvmmDG/pG9P1b\nD0OXBWhw07tYPLTNWqCX5X20/24DtKvFY8vGp5i6cBgcejri9YquWEZ26MuzHhj+oCfurB6MyhGn\nVX93/rmG7CYOaCQ6h0ED9qG8+WucW+UD0zmT0PDhVgXfeo7f0IsNU1RwLF+gXxpWM8cPfRoVs40d\n0ay2Vp57xCr9kuw+CsajCubo2rIu/1Orgokx4pdl4mff/jDSkP7tk98sKbcP4nRVB4xv+en9/Zbr\nyI6MwOdKICYmBv7+/rCyskLr1q3VNlMgoZA/dfny5Th27Bjc3NzQtGnT/Mkf/5peJRfRfClt2a9w\n7pV/bZ3c+R40wwSHBjXAjak3sEDJG8EtQRFHr6lXMjTMY0BpxP8DHct/aIL9AtlcEvVNLFiX+rz5\nU7glJ+Jo4pc+1S8k/5yIxlvkbVDOKwpaA2M/S6T6dFFEx5ydB+sjzQsZolNkVXkiSk9GOtVnqE+T\nzoifWKjNe5tUZqZIbvHJntX2wDdlGWrFHMN387JwZmNvldnfkOxn0YnQyLyF/uOf4uiVn3HF6Sck\nTNuD0fXkQyOq+ySdhkJFYm0YGpJeSkGTHvxrw+rh53ZmSrFkHFBdqTSluwoZ2dx5prY+Ksvug+L0\nYx6hb71QrTtfLA9L9X2qXAW31EKqWNoG5fjinBdFBjfMzLEy0ue+G1LdKkB6D+b/DqiqW3q/iul+\n1S/0XpGXFdDSGtySDkXNLy3HLW2RDE0aDq+s/BWWCy3iMe93K7dQXga58erOxLQ2CH01eJ0k3BB9\nAZ0K56i6X4rfRtVypFqnRIYjy8QCJnGnMHZvJfhO/jZfc1KwVq8edG89wRAL+fcvXxZ2yQgwAqVG\n4MaNG3B3d0d3WlNx2rRpautR8meozfPpJdBfSGXDJa/xxamrje+XrYL3pF15XsOWaOvRgz6v8cXl\n/nfhAkw5/stbjS9ech5Dj4spepAIdfj6pfaCauOLk6apawj8eRT/cWsQ0TW3ftits3th1aTgm51F\nrV1bR19qfHEF3mJ8cVmyH9+E/4g2PJOn5/9Bw55mtDYSPzuHS84TNEm2RT0L1Klvhep3F8JS1xTD\nMALDFcYXl111n+joGxYwvrgh2P0em2Fcj3uDLW/g6uKMLy5w53Lji7suTj9y+YseVOvOl8/DUn2f\nKtelSUajvA3K8cU5L4qM8sRWanxxkqW6ye9Bue+3sDqleYtmfHFyJDQ/07CIxlpuvUL+B8m7GF98\n3Xm+W7nS8zLIjVd3JuT/sEh1Kmh8caUK56i6X4rfRtVyuPpTsLORPXps+wf/8zmAXkMK/roWBe6A\n64hNGMiMLw4YC4zAJ0ugbBpgRcApqNkTIVOeoptsvS11ReLOLsFQA1e4tyr4sFdXprTjtSwGIOrW\nYATtWoXFZEXP8tqK1G77cWmUbWlXrZAvtOmGxbiMnfv8sHLXfUgCTiBES/bCgCJX3hNu/tGyA5vg\n6bkNN1b9WMBrUtQ+EYjTYDZkCX6k+XJFDaXdj0XVvaj6snyMQMkI6KHv2bXoGHwKKd/PQ/d8S8Bo\nxF9Cv47PcNWzqC/TlEwLVooRYATenUDZHIIsRrsTImOgV9OkgDEgF5FCY7XlTEzyDEnK09hRDG7n\nJR3yOL3L0Gt+jm/rk/z5i3L9ofqxNHQvSvtYHkagKAS4zd9faFeDGb1swAIjwAh8HAJFHYKUzZ75\nOEp+iFqrkvFVWNAj44sFdQSEZHxJ0woO86or8/b4t/XJ2yUUzPGh+rE0dC/YGhbDCJSMgKZ+deSd\nNVkyOawUI8AIlD6Bz3YIsvTRsRoYAUaAEWAEGAFGgBEoGQFmgJWMGyvFCDACjAAjwAgwAoxAiQkw\nA6zE6FhBRoARYAQYAUaAEWAESkaAGWAl48ZKMQKMACPACDACjAAjUGICzAArMTpWkBFgBBgBRoAR\nYAQYgZIRYAZYybixUowAI8AIMAKMACPACJSYADPASoyOFWQEGAFGgBFgBBgBRqBkBJgBVjJurBQj\nwAgwAowAI8AIMAIlJsAMsBKjK/2CAnEKHtN+kCx8eAJvkqPwPL3APvUfXhFWIyPACDACjMBnSaDU\nDLCc+FAcP34WV64E0n9/Ov8Xz7mdpT9KEOHmoT8w2L4Hlp199FE0KH6lCdjo2AOnE+RGwKfXBoE4\nAef37cLmnWcQW4p9yxmikZHx/MbkxeeYt0RO/G38b8sW7PF/nDch35WWOAozzH5FsEjOP18GdskI\nMAKMACPACLwDgVIzwDT1zVCj3GN07doBXfc+hJ6pCSq+g6LvUpTbqNnhqD7GO2ljUd9DSHsXYR+o\nbNgWF+z7yQ/OdgZ8jZ9iGyRCPdQ1TscU57l4VIqGyqu7W2BjY4FL78Ejxd2Xhln+GOv4NxIL6csc\nw5bY5G+LNhMPvhfDr5CqWBIjwAgwAozAF0ig1PaC5B7OTRzawhGasBv7E1rbfCzzC4i9G4JunYei\ndb+fEN2fNpf+xDtaI/0mXKZoYnWClULTT7MNQtRu3QYOgr8VepbGSQXLH7BnewvY6rz7BsMSYVW0\n7tCG1BRB6y3Katv9hLV3rbE1rCtG1/t49+9b1GTJjAAjwAgwAmWQQKl5wHgW4mykQAJBtqgQNBl4\nGBSIayGPVXimCqYJxOlIiIlBEokUpCcgLCwccYV6X0RIyaqEBsblIBKJoa0jtTkTwkMRGBiEZ+nZ\nMt3ESI6PR3T8K3BDXuHhkUhTDKuJ8SIsGNeCQpDEx4mRni4iedx/aSaxWHqdLrt+HfOE5AfiEcnj\nAqd3fHwM4tLFyKL5RY9j1M/tevnf34h3d4KVwjxW3QZunlIw1XFHaZ5YenIyzyeN9EkID0e0on2y\nZiod8usoT0qJlLJRNQdKnqaQS33MBS2hmOoLK7Rdcvn56y28T8XEvApatWsCXZkAgSgBodTuW9T3\neYcmC94v8jq5Y0JkOB4QK1F2OeVoOs/fv/LkSvjhj6nYcvC2PAJi6nPFbaGIZSeMACPACDACjEDx\nCJSuAfYWXTTib8BZtyb2PHuNnEcHYaY3GleSpXNu1KW9ibuF2b1tUctYF5WnbMX94KM0DKYHT/9n\nKmuLvbIXHosPY8WyhXDz3IKHomQcd22PVhtuUP4YeJhWg/tZrmw8Ti/sg/oW1VDZsRvs7GxgtpHL\nk4Dtgywx7mA4cp6dQK2qoxEQH4c9TtYwNjbGGL//+HqvefXgr1ecf4oH++bAsPefSM6Oh5eFGen2\nHJzecy1sULfTz/h1cDN8ZV0La0NS+bL5Px6dvYReDg0V0QXbIEHMWS9UqeWJSMoVuuZHWLke4A3Y\n52dWo461NczajMBku6aoX+MPFYYtVOrIVRjs2Rg1x12GIDMI/U31sS4wVqZHBs64f4ea008iM/se\n6ptWxZYwqf56kgDMnTgef94IxYmpTWDvLWUiK5jnoI6N+j7NwGWfETA374hrNASpkXwVY/u447FW\nRUju7YZN463gtFB3v3CVC0RPsaKHGcbsuoyom9vR1X4i0Lq8TK+C/Su/B7kM5fXMcOfQdRnD51hm\nXBMG3tx9wQIjwAgwAowAI1ByAgofS8lFlLRkBrb1coTGkfuY286YhLRG2LZpqDd4O14e64P9atOG\nYd1WL+xq8QiPNk4FV/JlQ31Usx+AluEBaGeYd5jKuNVw+HgfQZOsX+HpbIv449PwzYU+eH5lKCpT\n2W+iT0DHdAAcIgIwwGczdvg1g97so9hiGILz2RZ4cWguJpycjcTdP4KD9d+sxmi5Lxppu/1xQ/dr\nNG5rS7FAw5bd4XJgG+ba3IWe9R84HJ0CBxoy6xSwDLqt92B8sgt8r3tjZ3N/zEx5irGHzkO3FqdB\n/pCBUN9QYGCunyV/GzTiL0GntzuORKSgnT61t/khJOjVw2h7W/zVzxXb/9yIoZZjseOiBw6eTkKF\nfFVIYk6h+WhVOv6M60viUGetA5q1s8Je72NoeD4c45obI87fB31W2OB2ylTUxgu4ojxO3ovFaHOp\n8OoD5sOloxnQJB6zWlxG4uSWMChyvS6F9mnP2UvhsMKFl5b58DJ2ozEWNrKBMRnJh5buI49UeiH3\n0k8InN8V81tsR+qM73gZTY+kw3xmFn/+4pBbwf7dfROpzk359HLmVuiJKEj9fFXR0Xs6TOtX59PY\nByPACDACjAAjUFICH8UAi71yAlG1TPFXSDoc9LQVuhtaNgYu+dOwXRO1aWGiobDOpIdnQ2OFYVGx\nbnOaa/YAV54kkQGW/7EPZGaRVy2Le4SKEHjwIOoPPcAbX1zFEmEFadmHSXBonAmJoAt+/boKtLTb\noAvl/9v7BJATh+XeieA0vbE4Ct96a9HAam384tke9ovOYvzu7ji8Ix2DNppBFHKOE4uFizwRXEWA\nLFEM0EAPL8ie0uL0tmmJqiSptmN3Pp+qj/INhXiekmuAcXly20DnUffIrTMcpoo5UXpwcLeF65N4\nymmCtMQ3GNarLrWtFn7oXpsrnieIEl/y1wV11IHTs4vQO3AcMyfFQBR7BfXbuvJ5Y0PJ6zNiBGrw\nV9UxPZZ8b9pERHSbhpmtMdHOlE8RZXIezPIq51epr1fGRk2fOjSWmj9cBRUafw/Xi/awNOAMstZY\nvGcl2qaHq71fHqbbY/faWMw8Z8cV50N5QzLbQ7lhcRH+O6q6f2VZaeiYO5N7y7TRYtQ0tJAnsiMj\nwAgwAowAI1BCAqVqgEkfXgU1e3bxIlLrDpAmKM2ElvDn6eBdTVyqqjSKlmiR14ecRMUPQlSqKsR9\n3hiTl1aqhKIENNiUrbB9hDCuQQ/fqT/DdbLUe4LJMyAWSzPY/vALMGMZjvmLEGTfC8OovCib86y0\nhuecGWgmM5CmzxZDTKT5UqFZMm+KvP6Cx6xQMQ3Hvq1rYpEpJmNHSCwoZKZEA3pSWVlkHpoaVpFe\nqPgUqNXxORaZt8KJ2X445DMJFQON0f5yNs1Zi0daDgmKzeB15zQTcsaXjAMEBqiUa0erqFEapb5e\nILuIfZoRHY8OQaEYJY5GUOBh9B/YAlb3LkorUOpK+b3EGdiGyDvSnput8P7lhEr4bpB6y6SVsE9G\ngBFgBBgBRuDdCeR9Mr27vDwSJNpaZBMIyM+Qa0y8Cj+KSUvSYKpnDecBhth19aGiTNDBreRlGYIG\n+urTbLSlBgckD2h2ljQk3TyBQ4LO6NRAtdGhRTpIgxANOvYH3PbgqSzmdcRtHEJLtOPKCqWPZi2F\nukJYtR4CrDiIh3KjLGwv+nhd50u/MbHHtgFhGNRrHLr1/oqPq2jZFA4IwO1nabIayKhxnI0nVF7I\nGRkU8g8JyjLKDvTCwFR7enEhb2xuG4CKtW3RWHISYdGv+EwC8SNs9orBuK9q0rUm+Wvk7c0rQ36l\nTseHD6/CA3WxwqUHP3x4a8d6hJDJFXzAF1HW7YBjW3FLNkdPEr4XjhwHjpkkd0EH7Yrq61ZXL8eG\nD+r6VKlfNBJuYOq+x6herwm6Dp6L7W2aID7LXO29ZKNdHZ3GG2LpjkB58xEedIk8qOXpriy8f7kC\nOdHPcFTh0cug+YNDsOD4I4UsdsIIMAKMACPACJSEgMLUKEnhwspkh5/CLxMXkHHzBoecx+Jli9q0\nDlgE1vgdBXqsRg3yoDRcdRaPR7ZF37ApaId/MftZb9zx60mPRQG6q00jbwnoLTbJVtg6meIPmzT8\n6vYY229tUniclPWKOO6FkTPO0DpSmRieNR6rZ8yD/8oZsO0xEZ49jbBjxn/Ycn0XWms/xwbnGfiX\njIkXfX7FglXL0NWiAow6TufzN6XJ995rbXH6aCIWbCQjjg/a6DhyAp3VRntuLhaFHJ2vsff6Dgxo\nZo5QTy/o3zwHw/neqB1xCiPG0HBeAyuMcErD/FWuaCA3JvmSuR9WrRvD8XwIZjbnlksACrahJ04G\n+GGw3Xe44zkcGdvc8Mb3BJa0M8M1XxeM5yb3O3fBG1c/zHWsnytYdqZOxwZWOfAa8BJOzu5wtsxC\nuMGPcJjXC67j1+PQqAG4sjkWrWoNhPtKB4SeeYl5vq2I2QTquVD867QS52Y0wG7yniHnDoZ61sbu\nGT3zGJvq6uXe9nylpk+bCx9j+dDp1C+XEDlyJXb8poM7iztjQvmVaJ51F0ca/4KNFlVQVe39IkA7\nGiZeMXQQOriGon+VWBxbzC2bcQBd3Q1x1K2w/gVSIu/Bpn8X2ZB1Gp74n8d/9aYXYMoiGAFGgBFg\nBBiB4hAQSCjkL7B8+XIcO3YMbm5uaNpUOhk5f573ec0NcaXS6lxG+gXHsVSliUM2wcBJQhPpRyIr\nPh36hvpKPraiaSYQpfNLQhS1rPr8YohofFG7gCnLLWuRDE0dQ1Qu2KxCleTWAethtgaeCZvQUDbE\nqLpAyeuQylNdXpSejHRqk6G+Dg0z0rILQm0FX27JiLhkETE3VMSp1q2w2IL1FrlPZfq84YZFaS4d\nr6NSVaruF3myNE2P7jMtiGgZEW4YVSjrN9X9m4K19HKD7q0nGGLB1gGTc2RHRoARYAQYAfUEbty4\nAXd3d3Tv3h3Tpk1Tm7GA2aA2ZykmlNc3hJEa+fnTOAPgfuh9ICQLT2g4zJaMr5IEibYODIthGKnP\nr8r44jQS8kZKSXTjPEVeK9/g1733cXJwg0JElLwOqVDV5bV19PkXDvg8SsYXdy0REjdDMszeKeSt\nt1h9KtNHSPeMfGq8sir57xd1ado6eTtfVf+KAnfAdcQmJDLjSxkjO2cEGAFGgBF4DwRKdQ7Ye9Cv\ngIg3yQ9wLd4Omze1xLUzN2no6vMM9Ub5YPDRsbRWWO78qs+zpcCn2KfcUh/9Oj7DVU9uSJwFRoAR\nYAQYAUbg/RIoc88WDcOmGCVbo+n9ovjUpOlh6O6TiIjhXj/8vMOn2KfZQkuse+kJMzXz9D7vHmGt\nYwQYAUaAEShtAmXOACttIJ+W/EowN/m0NPpStNHUrw6zL6WxrJ2MACPACDACH5xAmRuC/OCEWIWM\nACPACDACjAAjwAi8ZwJl0gP2MugczoY8g2aNDhjYrtZ7RvLpixOkP8HuNRtwS2SMHmPHoa1J4SuL\nlbRFAvELnDt4Hk9e66HrgB4wo7vlTfILvIQ+TFW8sVrSelg5RoARYAQYAUbgSyNQJj1gVarp45Lz\nb9gS+7lOwS/sNhTjb6fvcKZxT9Q7uRw9TzzE88ALtMl4gdVEChNSpDSJsDJMq6RjivNCPOPli3Cg\nWzPUr71G5QbfRRLKMjECjAAjwAgwAoxAvj1aygiQcibV+e1lhra0KJLGonTa3ugzCQLxU5w83gCj\n27bCmH8eIHaYLaLPn8RTbmvD9x5oVX6HNnCgrYakQRsdNu3CzjP9FHtpvvcqmUBGgBFgBBgBRuAL\nIFAmPWCSyFvwEQyCFW1GFBGTXGg3CWiz6FGd16Okizm8SX+B4MBAPIhMyq2HFgONj4+hhVwltFlz\nAsLCwvlFXfkMlCYSyf7zW+zQQq2y61wBymdiRIUE4VpQCCIjIxGn5MlKCA9FYGAQnqXn7kuUExeJ\nnbRaf2ZaOi3BoQ0JrbA/eXEQBK/SaXHRdOl+k8ri6ZxbZyshJgZJZKQJ0mX6KtUjz66qPohz6+bk\naJjZok0DY3kR/pgSKdUzWqanWN5+hT5SBum0+CkLjAAjwAgwAowAI4Cy6QF7cecqvxWR4/5zOOXh\niJ6+/6nty/D965E8phO/t6HaTGoSsmm/wyqmIxGJTByd3gTfep7nDZzXMQGY08sWdU310Nl5FYLv\n+eMH06rYGZaKpFt/o4NxNRgbG+N/Ea9pU6UoLDauAePqS3L3k1TUJ8LxSX3gG5qOKniBWTa2WHWH\nM/RSaM/B9mi14Qadx8DDtBrczz4jQ+oF9nnMp7hQ7PFYhI1nrmOfzwTcwSXs9vGC26JtKoci38Td\nwuzetqhlrIvKU7bifvBR1DXWg6f/M5LFBdX1SdNyPwW0BtvybtYwr0GLk/LRGTjj/h1qTj+JzOx7\nqE8MtoQl4abfFL79xp3+oNYDyVfW8deNvM5+tuu25VJiZ4wAI8AIMAKMwNsJlMFJ+GIEHdyN+p7/\n4Bq3HlhYDlxaHEeUc0vUyNfe8OOLYTfBDKHJtvlSinYZFXASaDQIPZu3w/e+W+FeawfCXNqjYc32\nWLfVC7ua/QKXlW7orCOAzYJdaHk8FKmTB8I/4DUMWvnja3MtSFAdX4+ciHOe88DteagcBKIwrPN7\nCeffmsCqZmX4XfDFRnI4xR9fhIEX+tBWS0P5ob5vok9Ax3QAHCICMMBnHXb86YKfvTzQnLYpEvQ6\ngv/R9bhFbvy1snz5uYZJG6m+LR7h0cap4PxXLxvqo5r9ALQMD4DNNfX1OSgtGJ9Da7At2vo7/miR\nCm7b8jh/H/RZYYPbKVNpN8wXcKW16U/eS6B12nxxLvUiOohaUjxZ+bbNMXz8Lqxy60lXLDACjAAj\nwAgwAoxAPpPg0wfCzYE6vDcRv86UbtGTHB+vUulA72HoMI/bdLkhFgy6guep6iepJ19MwOiA0xhl\no5tHVp3Bq/Gvzl9Y4OqKV68iyOuWBNoGEbRtJV5lvybjzAv2ZHxxQVheD8jizBI6t+kBd8lvWPtv\nLHztgnG6Thf4qljQU6Jti7kLTNHBxowv19FlI1bNrohA54OoP/SAYp6VRFgBjniAKw+T4NBYOiSY\nLdMDonzXvKSCH6LMLEJhrNgcu2Ld5lKZT14g82Bh9eWVxcuRRcWGkoduxAiZ4Vsd02MjAdpfkQvN\nfvIAbGbh8owAmB86ArtRs2Sl2IERYAQYAUaAEWAEyp4BJkpFlOBH8i5Jl154eHEL0G0Oqubry+aT\nt+EuGUiN+qZg1u4FvCcmX5a3XgZ6D0UHt7o4dX8JWhk9Qgh5msRpyRBpV4Egmwy60CxIzR/QUdnA\nq4pB24ej3sod+K5TAjoPcFdZl0D0FMktfkdkuAZCg25gW++xmNqwESZUFeJ+llwyV1Rq2KkUIouU\nUE9mh/2He8bfwFZfahQq55doUVyocoz8XBOVSlCfvDRiM3gG3I3EbW4NMU18ox2uBeQlXNtmPHx3\n7YNtWB2MGcw2s1YwYyeMACPACDACXzyBMjgJn0wdQV1Up+E3br++DosjsHbx9wrPjnKPmnd0QcjG\nRPT3va0cXcTzFAS6XUbv/b/B3kQL2Q8u41+YIPvWX/C+HAvtilIjR74ClxbN9lIOJl2GwvHiIoy4\naoteVF5VEIgT4dN9K9IM68C+Y1+sPjkHUeFpaNCxP+C2B09lhV5H3MYhtES7BlXIuJHK4gwuLgjI\n4EmgSfnchoUZEU+QxE/8l6YV+JQ8oNcWpCHp5gkcEnRGpwZGRapPS1afvN3cpVmz9sCxrbhFm6Jz\nQUJz5hy9rvPnQCX0nD0dhyePQUTHriWagycTxA6MACPACDACjMBnR0D2WC077crRaYJJ45bCyd0D\nRicPY8HJexhiod67Yt5rLCy/O4ZEZ9tiGgF6aLvWCa59fkUTj6Z48iwHE7s/wI+DgP+droFxw8nz\nlpODKb42mGz1EKNnnCGIUVhQbwfmdbcEN7zo7OKAht07F7qZc5WcVRjtpIEB9lVwbmMo3A9MhJFJ\nM/ivnAHbHhPh2dMIO2b8hy3Xd6G18DGWD52OfyWXENt+DGbuXAVHi4ZY4lIR3YZOQncyEBduz2sI\n5vZsOf7FBVsnU/xhk4Zf3R5j+61NaMYNoXac99b6okZ6YOvCb7B6ih+1+w612w7rnH/Blc0v0KrW\nQLivdEDomZeYu5GMR1mo0qInnAQPMNrBVB7FjowAI8AIMAKMACNABAQSCvlJLF++HMeOHYObmxua\nNqWJ7p9gSE9OhkRHH5WLYEKKaPkDbR2l2eTFaA+39EIcTfzSNzQkQ4qWUxALoV1IndyyFU/TKqGu\nSQ62TvJFOx9X1FZbn1ReBUjrqER1yD1qXBGBiOLTxVS3fqFGHJf3bTzEIZtg4CShif0jkRWfrlJm\ncerj6pSHvIzoncrIcGSZWMAk7hTG7q0E38nfyrOyIyPACDACjAAj8FkTuHHjBtzd3dG9e3dMmzZN\nbVsLMSXUlvkkEnT09YusR0mNL64CiVAHhoY0654PhRtfXJbH24eh2cwuuPQ/4Oa3fTFcWlDNp1Se\nhGb159aRm1WiTfFFtBsL48EZSPdD7wMhWXhCw4W2ZNCpCsWpT7l8XkYp2NnIHn4r92BW2AH0+m2d\nclZ2zggwAowAI8AIMAJEoAzOAfu0+63+oOVYPPwBtj5sDI9+lp+Esm9o/a5r8XbYvKklrp25Wcpr\ncemh79m16Bh8Cinfz0N3Q3VDop8EGqYEI8AIMAKMACPwUQiUWQ/YR6FVhEpz9G0x0WdDEXJ+uCwa\ntH7XKG7NtA8UjJv3wVL6zwIjwAgwAowAI8AIqCbAPGCqubBYRoARYAQYAUaAEWAESo0AM8BKDS0T\nzAgwAowAI8AIMAKMgGoCZXoI8nVMMHZt24NL0ZmoWMEEfSdMQOMXp3G8YnsMtjFQ3WIWWyQCCbQx\nuIZJTVR5xzuE26z83MFTCIcRvu/Xid8GqUgKlDDTm+QXeAl9mOoX8e2FItbzMugczoY8g2aNDhjY\nrlYRSxXM9jryBtZt+R8eJ2bCuEU/DK6XhOsVW6Pve7hfw7bMxrmvXeBs9y73vhhPr5xBSGZF6Ghl\nIyODdnygUFHfHDZf28BIxY4OBVv5cWK4e+3kxrU4fj8ebwxsMW5oM4TcL48B3et/HIXy1JqAjYMW\n4KuN3tKlX/KkfbgL7m/m2VtxqFRJC+KMDND+GChXTh81bBqjvknlD6cIq4kRYATK7iT8iONeMLRu\ng7jG/fG7pxd+/+17PFhAG053GImXyovIf8ROFqRH4U5k2kfUoGRVC0Q3UcfGBgMOPiyZAKVSEqEe\nbfydjqmj5+JReoEVT5Ryvo9TEQ50a4b6tdfgfVOvUk0fl5x/w5bYVyVWNC1oGwwbrYUNreXm4+OJ\nvjr+sO0wGJoG7/7g4xYlHjl5NS6EPC+xfvKC2tVNkXBkNHp9vxtC01owM9LHizMe1I/2+Duy5O2X\nyy+No0D0CHMMrHG11g/w8PHBsqH1MMuuHfySSvueK1prXhzygMuxsKJlLsVcmpWrQe8FvZ3cqxdu\nwhC1TY2gkXQdo61rwGnnnVKsmYlmBBiB/ATe0b+RX9yHuX4VsgeNBrrD88LT3F/72g3htPE60vc2\nKOW3/Irexlf3TuBYpiMa00bbZSlItK1xac8eZLfIv715SVohRO3WbeAg4PblLO2gjQ6bdmFnZm3F\nPprvq8ZyJtXpcaWBVi0tSijyOZa1nYqVQdHoYEGL4lKo7zgAY2xe4ys1OyUUvSIxji4chTu0HZZe\nni2sii4hN6cQ1S2soR37BnAfj852NnxSk+bWiPFqgGFHacP5D/hCR65ehZ892OUKH5eDSO3eWJrR\nog3mufTC1eYl91YWXmPRUzXSb8N96GYqIEbgozQ0s8u752zRJb17Tk2d6qhnbkjvv0/GoO4t+H1c\nG9o1R520m2gywR+egxsXc8Hqd9eJSWAEvlQCZXAOmAinF80E2nhhSIGhlqro4dkNSZm53ckNS4QG\nBuJWWDT9+eOCGMnJ8YiJiaczMV6EheFxTFJuAVmeF2HBuBYUotjah1voNCEmBmliERLCwxGdnutm\nS4kMRWBgEJ4reXgEoijsWLEIIjIHRbSgqkixRRBXZ17Z+SpXXKqS+0aUjHjSnfNDvI55ggfhMW81\nOFUyoE3MeQbUnihiEEGLs8qDWCSBeatWsNaRb6EkRlRIEM8jkoYm4yhdHhLCpW1/psRDnpZFw4Fh\nYZHEOxP5Hzmc7oHUL4/i1XlUqJ94HZOl/UZ6JsfH8IviyuVnxDxE4JVAPCCdHkcm0bZM6dAws0Wb\nBsZ8lqKwykqO4nVMoy2dngcF4FJItFx8nqMk8hZ8BINgRZs5RcQkK6Vxi+kqXao51Uh/iWBqieBV\nLmdu/6hGwxxkm5mrKViE6PTA9dhVfz32jDdBYFxGEUoUnkUgCsORY8mY2bqOIqNG8j240d3czbCS\nIu7TOcnAtf3XSJ3c7ySnm7Zla3xjqry08cfR+J9Fa9H23FEMpv5Wd7d/OM3ECD6yBxjXWum+y8Dl\n/eeB1uWLsOvsh9OU1cQIfO4EypwBJhBH4eKxVNTv+bVKL4dlv/kYXU/6R/d15D/oZdADZ1Ne4+mW\nn2Aw6QANTaXglMdoWFtboIfTVOwMDsWJqU1g7/2frK8TsH2QJcYdDEfOsxOoVXU0rtDipc/PrEYd\na2uYtRmByXZNUb/GH/wwV7BnY9QcdxmCzCD0N9XHusBYkiPCJT9fTD2WhIAda7FsvhdORXCDYqpl\nq7rJVMsFYi9thgXp7jhpBuZsO4+7pxagmv48PFVjBKhmEI9TC6UMDKoOx8l7wdjQqy6sXDk+QNwl\nP5ibm8N0XTDfluOT+sA3NB1V8AKzbGyx6g5nsKbguGt7tNpwg85j4GFaDe5nn9E5F8S45usMo24r\nEBpxE7/36o7D1FtSvw/wYN8cGPb+E8nZ8fCyMIOnv6phsxT8s7wv9VNXXCWDTzMmADMtbFC3+yZe\nx5jji9HCwx9Cw4oIXt4eX+16AAGtd7a8mzXMa2wC7Y75VlYP9v1GOv6B4OA9MDMwwOQ9fujeejdf\nlm+G0seLO1f5rZwc95+j+8cRPX2l90vYloEwNpxHm1AVHiTaBmhCD+DJ9rXRxWkG1uw8gyhRLVoe\npP1bdzkoXPJzePz6APNIToPGrZB1KFil/oXLyJua+TiI9h59A7vqNE9IJMLLsIuY1a0PvnLZhU39\nPoX5VHn15fYdbdHnO8DrB+jaD4Sb92b8R0P/jQaP+6jzrTgtxSHbyHDtj0HkieM8qC/j8//Yy9+W\n0r3m/n76+yWin30tiOlHTUb8Exx0H4fxlxxxausIlX9TS1cjJp0R+HIJlLmtiDh3/mDTdkjw9sfx\nUbaF9FwCNuvZ4OS269jnWIPyJWCurjW+fhCD3kbPMMSgOfQO3MfqjtWAsE3QbZGCp8kueH3oF9Qb\n0QSJSU78gzGUDKyWun/SsEsTHOpRF0Mt/ZDmZYGDp5PQs3s9bNWriz/WXkTwYCtEbemHhnEuSJ3R\nkuoTYwc9bF9uCoOLjXSvyhdqZTfN144M0l2dXOCpb2fYHhuF1KMDyetzj4zMkXCNDkArbl/HPKEw\nBo+onD1GPkjEjyYatJX4U8zRbYYH2//DX46WVEdf2GbNRNo4LfQyHgvnkDPoRkOp4qA92JjdGf3i\nlsJiUS3a2ugX/o+2RvpV6JhOwpGIADQJXgpzRxFCkxfwv7I10m/C3nQOfo8+Bvu009Cz7ofD0Slw\n4PSlLZJ0W6fgObHPP1DLt62qC1yfH5O2LWwb9VMq5f0F4dQvo43+xPVRTXkGizemYpbzN9SXuXk4\neepZRdP90AT6ARF8/5xwsoSPwxGcHNwgD0HphRgnnOrD7eu9uMYNv/F1POLbVylwP1Zer4yZzp3z\nbCOlQgh5LG/Ab8N2bPPy44cLYeOK2wGzUJsy58SH4uS1aFS1bIJv6hmpKq4yLmzLeOysvwjurQwQ\ntqUvmu3vgufHnBQsE0MuICBGgrp2LVDfsGjeIE5ms8lPMNPze1RMjcDcxWuABf8gdbLyfSrCk5AI\nVLep99Z2q1T8PUdyXt7z27Zg0/7lOHJR6mfaFhKPH2pq4P7xv3A5SQuVdcpB+/VrfuL5azrq1muP\nXs2Ltk9pFhkqT7Kr00T1ojGUNi8Bq3u449tDPrATZmFfD2uM7rSXOEr/PnwMvSSRR6Fn8xPGeq6E\neewjnPXyxb8CJzxK+V32goz4vfB6z93LxDECZYrAZ7sVUY5OLTiQQTMlLIZMHFuZ90CEy74LsfpC\nMO1heQGwGY7j20fSptVZ5K3whPeTGhBkZfFDQCaJ9Me5Sib5b6wxzE46VCXK5IbUOPe7CBeOnqCn\nYRyWeydCm2JvLI7Ct97cUFwW0hLfYBh5iiTCWvihe22KA5yeXSRD7jhmToqBKPYK6rd15eO5/Fk0\nJycrW0TXnAEmwn9qZcuKKA6VCpELZHCP1x5W0txiGnYRqH7rTSP9eSEMuHKtULOy1GiTkKnUabwh\nfJ6k8HIzSHcucJuKz11gig42Zvx1R5eNWDW7IgKdD6L+0AOKB71EWAGOeIArD5NgGEpesW79UJUv\nwW3nJERVmW0oSnzJxy5c5IngKgJkiWKABnp4QR68Avt6cm1TCqJM7p0taTD/7jeEdWgP3cl03WYc\nDq6ayyco5+Ei1LPSholAE09SuP7RQPTdV9DtKR9y5UUpPgTipzi8NxG/zpQaZ9zQqDxUoQVnFzSX\nX6k7piA8/DUsLJriZzfuvzeir2xA/a4HaShbgjrCO3DutR+Tz0xD0prxmN9yKea3k/JWJ5GL10i+\nShPvd6LSSC1M2vsKT/zOUp+akGdNggb0tuIr8r702V4FR+Z/ha19RiFy6y50euvOBBkI3n8M8DxA\nRqXU4PqpaWXUnReARDLAuDstJ/42Ni2fi9/WteV/tBTHJCmsPSVNS4iMQcWaJmg/ahr/nzN0Z1l3\nxpGbEehdOQFrLmjCdX5f6N3fBFOHONyLnwWDiKP4ed/jIhlgdw6tp0n9rqhz7jEWFMMAiz/ujVkX\n/8RIFwF5yOOw5WISvu0j9QNrJN/4KHq9uOPPz/+a7Dya/3E0acYg+oHVFqfD3THEoiLdU++uV0n7\nkZVjBL40AmVwEr4ebH+gYZAlRxG2qDMaCpbAA1UAAEAASURBVLknuzZaOy/Gt073yLPVCnabPNGm\nxiOsp5T5mxZjso10BtKkGfPI7U6R3H8yWipxFlaeIIRxjfLA1J/hOpmGNLgweQaV4QpIDSpTwyp8\ntPTjORaZt8KJ2X445DMJFQON0f5yNrJojlmmYvNvbdpU+x42HslCQ7WylUTyp4XJpQm0XMi1RaTX\nKj4lst5Vy4DKyPNwxTMSqJ3V8xo9AtFTJLf4HZHhGggNuoFtvcdiasNGmFBViPt5JnyrNl7yqyXI\n5hRvDc85MxTDQ9Nn02w8FXeigLgn5E43g2ZF6htqOKfhK60muB8RjuSHobi8Yy5+HLKHvHFOquew\nqGRVFTbODeG6eDpeW2Yiqp0H/uhhmV9d/logSkWU4Ed8bS41NR5e3EIG5hyFgamykFKkJPI8puwz\nxKEZuZ6tGrbN0BjSFxPCd62A1sLFaKCjA8Gkyfijz3Gktcv1YimJUjoV49i0JZgUEof+NaUP9Vdj\nv0U1+92yeYsiHJ2+D79uPQwdMsZ+Xvwtfth3E53eMoFeIHqMwxdTMXN+HUVdsQ/JoEZXxbWGoS1+\nXrQI/144rYj7eCcvsGvBAQzeOEHhiStnYgM7mwoIMzVAytNH6Ptbf5gRgych9ANp6S8wo3tNw7gu\nfmhTtPlsjR1/xlzPK9hRjEZybxL/ukgfj1JTFUuvOH3dB/b77yJt1Nfkmk36CHqJEXLqEM3/WqWY\n//U64hH+RQ5+4P/G0cSC96BXMTCxrIzAF01Aoyy2voXLZkyS7EbLOQf5+UDyNrwOv83PXRGQ10lC\nb0UOH2mE+f+7Lk9GkPdw/HE3leY+k7Eg4WYJSYN2RZl7hvxpVq2HACsO4iFnc3EhbC/6eHEyNMlH\nJs/HpyA7/Bro5XyscOnBewZu7ViPEDIPgg/4IiBZE6aNKuBhdBrV9wr3n4sKkS2VJ/8sXK6EjAyS\nWV5m8MjaIl2tSS5BeiyUAZdFcgVP4qQGl0Z6KHbtTcCUFhZ8YS2urVSHQJwIn+5bkWZYB/Yd+2L1\nyTmICk9Dg479Abc9NHApDa8jOPYt0a5BFZg1aQ8cv4FIWVpOXAR54khvevBVtGwKBwTg9jNqAx/I\n2HScjSdy3rJY7pCjUw3fCZKQIUt7SEuPoGF5/kEbd2o9DsbqomHzthjrsxptQ+N4w0zel1QVH9Sz\nysDLBCvsWDYP0yYtwqrffkQ1eSFZ2dxDNiSCuqhOxj633EOHxRFYu/h7qR7+q9HH9WCh864S7lzB\nP4/ieLtfLvPO9sW44/IbP7SamSqBmZ7UuBNQWzWSUmXTyTNont0QLDh+X15McYw5uwxrvp6nML64\nBC1wd4F8jlEWeXkro5rsRwaHMClV1tfxNzClx6+4EJPX2OZkZPPzv1qiY2P5D40U3DoaSF7j8vQi\nhQhHfP/m2yoQcWU5gzg3aKiRK48/m6++ODXs1MXHUP5+k7bnmW+nkfwMu/+6iUilF0Oyw45jfOiP\nGPhVFVS264p2vNdPhMCj/2KgvRWvcI5OA/RuZZ6r/FvO+N8N+fKo0keaJQMHJ85H9x0TFcYXF69V\nnr5TSVm817709FJ/zwiI3Em/BIzr9pWiJW8yE+jHaDe0rKeLuLP78aB2l/fCS1EBO2EEGAG1BNQ+\nctSW+AQSJMLaWBz9H8ynjIKZ7ka4eg+GaWoo9l59g7kje0HAP1eE6OR5GitGtkOjSZPwm2kk/qH3\nkNY3SsUG5xn0qy8U/zqtxLkZDbCbPFjIuYOhnrWxe8Z0+K+cgaY0+d57rS1OH03Ego39aVL5bxgf\nQsabcxe8cfXDXMf60LKwh9eAl3BydoezZRbCDX6Ew7xecB2/Hodovs2bkZMxoOsI6A2ogdYzfWBk\n0Uyl7PxIC5O79vISNJvxHw2zumKx4QTUuLFb2pZOM3D0wGK0zbOkgWoG67jX4GnkTY+MrDH9nRHv\n1AwBk2eh6uZzNJfIGNwaa81mcN6NDPzPfiaq5KzCaCcNDLCvgnMbQ+F+YCKMTKRtse0xEZ49jbCD\ndNpyfZd0rlarX3Bl7Rw0s58Ib5pbdW3jIpKVhQ595uPq/vnYe30HBjQzRyit36Z/8xwM53vDSuWd\naIbeK79Cu8Hz4dNTEwfnPSM5LujuaohltTIxs/lQZK39Hpn/7kGLXb9Dh166+HmKtC+n+Nphlql/\nIazmQnD3OIbY78mD3zsgCqNkHlN5Qo5OE0watxRO7h4wOnkYC06Sp5WGa7iQHnUPZ9ZlQewhz13w\neOtUIFrRw6/XoKvo29sWMQdcsdP4dzz1kXpZs7M4N58UgLJHEmRoP/E/j+UXWmIKLSZamXJxk6g3\nOI+Hy95/aeg1C/dGfs0PN8Ze2YopLuSZo/u6a6dB2LJ1ObISObkFQ1ZqDDZf/BPiWy50v9SSZcjA\naU8XuP39F12L6XvkgZV+riRbD416kkHt6o8d3rfwoM4E9FKIzOtaVC2Xel5WX9NXHCTZDwc6U8dO\nXbwo6ilO+YUgYvEQ1JDNd0x9eB13G2ZgdvtBaOXUk/4O3MCvbqk4en+dzDsuVZbjdvj4N5jkx1HM\nDZyHd/0Mb4RX0M6NpDMRuV7bz5wDR4u8+ZUzqdInO/wURg4ejMMhr9Ghxmn0cetJhroI/3rPwux5\nZ6h4FByd0uCzagrfb+9fr4L3DKdzxPFVcF2zG0fJtK+/7Ff4wBOT2tWCpq4J/RA7gb93+iL8Xx0s\n60hGIgV1evGJ7IMRYATeC4EyNwk/f6u5pQ4inicgS0sXdevVVAxDKOfjhgRToQOjYqyOLqClI+LS\nxdA31Jc9GpUl5j0XpScjncbQDPV16NklouE0bUUZbimEVLEOqujkWhhFlV2Y3LwavP0qPwOB6DZ6\nVluMRS/3oH56Al7rGKJy3meQTCi3zIKQuBKPZBEqGRrmYVxYW5TTxOm0/IK2NrRpPpg0cMtMJENT\nbb25beJ0TxNrw9BQB6J0shy1hRCSS4cw8zIkJKOKSt1zZeQ/EwWtgbGfJVJ9uiiSYs7Og/WR5kj0\n6aXoP0UinXBLkUh09AvOVVPOpOI8npatMDTRR1Z8FCJepkDDwBx1lVYdf3FoGkYmjMKJUQ3Iw/YP\nOg+PxMFjw2ScE/Cn+zl6kPdXzLdTUYWKKDHOTOqIsAnHMaFeRaScXYJBET0VL65oxvyDtWH18LO6\nuWbckJSir2hoipYNiUrUhLWNOc9GIL6DQW39sZlewpD67qQqvFWuCk2LE3V3y++I6f0bOulLDYU3\n9N3LpD7RFafgcXgUuAVPVP0dEIbvRcWJWUgkrvI7sDj1hvkOpx8jvrS4q9TwlpfNr488vqjH0tGr\nePfMm/QXuP8oAUaNbGAsg/OuehW1/SwfI/A5EijqJPwyOQSp3GHl9avDilZtb6TG+OLyltc3LJbx\nxZWRaOvQA//txheXV5seALzxxV0oGV/cpaa2fh7ji4srquzC5HJyihPyMqC1yB4/gz/98r15PxKa\nZFSpNr64GoScvUNzxTgeeY0vLrWwtiinadP8plzjSypXv9B6uTzSwOnOGV9c0Ka5dZwcIacU6cbJ\nKK7xxcnR1KW5dH8epeUKkvihQe4hdOvsXlg1qaX2Aa2jX3zji6uLM764UN6wBn+vKhtfXHx1Rxf0\nPrMCB2hdtD8mbsTPmwYpjJqYs+tx2bJxMY0vTqoQXeYuQpCbDy4HncC0lQKsVbw1nIH9HpthXE/6\nEgqXu0BQMr64ND2TOrCRGV8ayQ+xf/VuPCMPoof3DtyOlw9lFkFugYqKHsG9TetzpiKayowvrqQm\nZxDTkdtxwaKeqr8DItw8tAvzl+6AhWk4/A5dK/ZaXI/992Prhcf4a80ybDt7V6GwKn0UiW89KT29\ninvPcIuz2tCCu1Lj6931emvTWQZGgBHgCZR5Dxjrx5IQoD3zthxCWuXKSEuriC7DevATk0siqSyX\nSQ3/D7v2ncZLmj+USS9yfOXQA47tGimMn7LcNqY7I8AIMAKMwMchUFQPWEm88R+nRazW90igKrqO\nGvUe5ZVNUboWLTGOX7OtbOrPtGYEGAFGgBEouwTK/BBk2UXPNGcEGAFGgBFgBBiBL5UAM8C+1J5n\n7WYEGAFGgBFgBBiBj0agzA9BvqEJwSd278GZ+/EEsQrajhyPH2uEY83lSpjo2LhUwApE9MZVRAK0\njU1hWow3K0tFGSaUEWAEGAFGgBFgBMocgTLtAbtLmzpXMW+KW6adMZ/WlFqxeAze+PWDvkVnxBtV\nK5XO4BbiHFxtEI7fo339BlvA9fijUqmHCWUEGAFGgBFgBBiBz5dAmfWABdG6PG1nxOLAgwR0VCw+\nWgMDaJNZH7/x+K5h7rYvqrpPROtScUsjFC+8gJdFb5icvI9faPNjQRdr2ketGXYERSsW5iyePJab\nEWAEGAFGgBFgBL5EAmXSA8ZtMtx2xkHMv7BXyfiSdZ9QFy3aOKKu0lpB+TuWW4R0VOf1hW4fk78M\ndy0QxeJ/aIYfbaXbtEi066K/jQ4iUrkNnVlgBBgBRoARYAQYAUagaATKoAGWgSOL3IBGbhjCbamT\nL0iERnBeOVyx2Wy+ZP4yfP96JI/pxO/fqCpdXVxOUgLuIN/2LgYa+DvgiboiLJ4RYAQYAUaAEWAE\nGIECBMrcEKRA9BhHjiXjW+9OeTa6Fcu2ThHSDof16ukVaKg8Ivz4YthNMENosq08qsjHrJfS+V7l\n8pUw0M0fky8Du2QEGAFGgBFgBBgBRkCJQNkzwGiLuhTyQnX8prZSMzJw3msOfC5cxcWLd2HZYyZ2\n8hsJS/eLk2cM9B6GDvP+psuGWDDoCp6n5vNmyTPSMfliAkYHnM6zMbNmxap8jtdK+bjTK6n5Y/Jl\nYJeMACPACDACjAAjwAgoEShzBphEqAUzaCArkywxRaiEzjNWwspoBJpc7oOzu11UDi82n7wNdxt5\noVHfFMzavQC1FeWLdlLO3BIOAgG0lKkl5mByszpFE8ByMQKMACPACDACjAAjQATK3BwwibYVBrpU\nx9JJfohS6kKB6B6WTT4MzG+h0viSZzXv6IKQjYno73tbHlXko0TbDF1xA0dvJvFluOFQ35A01NZT\ntsiKLI5lZAQYAUaAEWAEGIEvlEAZtByEaOd2EZsSe6Oh7lnM9x0Fk9R7OHwhHg3G98WCFtZv7Urz\nXmNh+d0xJDrbFmqsFRRUFU63tsHBbghqbv8ZqRvGo8HmqxhVr+DLAAXLshhGgBFgBBgBRoARYASk\nBMqgAcYpXhX9ffzh6P4CEc8TkKPrgB+cjVChiL0q0bbFltP1oF3E/MrZtCy64Ep0E4Q8egHNdXcx\ntaZ0SQrlPOycEWAEGAFGgBFgBBiBwgiUUQNM2qTy+tVhRf9LErR1SmJ+SWuS6FRHQ7uS1VsSXVkZ\nRoARYAQYAUaAEfi8CJS5OWCfF37WGkaAEWAEGAFGgBH4EgkwA+xL7HXWZkaAEWAEGAFGgBH4qASY\nAfZR8bPKGQFGgBFgBBgBRuBLJMAMsC+x11mbGQFGgBFgBBgBRuCjEihzk/AF4gT4n74Kib4+BJnJ\nEJs0x3c2Gjh3/CoqUJyY4t4Y2qG9nSleBl3A7RQhymcko9JX7dHUpKjvSRa/TwSiFNrcuxKqaJc5\npMVvLCvBCDACjAAjwAgwAu9EoMx5wCRCbRiXi0Kvrl2x8kYajHS5txkroTbFdaU4r7tZMKlWmYdS\npZoAfXp1xcZnOTCsXDqGUWp4ME7u9EErY3Osu5P6Tp3BCjMCjAAjwAgwAozAl0GgdKySUmVXCQ06\ndsZYaMG0Szc0rik1tqyaNUFjCNClUxfUN6nIa1BBnIkfZh/CNuf2b9FIhPR0IXR0io9D/CoTlW2a\nowfKQaL1lmpYMiPACDACjAAjwAgwAkSgzHnAuF6TwAjftNHB/ICHsk4U47TbUNyhlKxMkSwuA7sX\nnMC4CQ6ya/WHDP8V6LQpWH2GQlIMbOzR2u5rmNuULyQXS2IEGAFGgBFgBBgBRiCXQJk0wDj1s8jY\nqi9rhzhkF461WI9tA4zgdjmMj02/sh6nO49DKx2BLJe6Qwr+dF2NKX0aq8tQhPg3vD5FyMiyMAKM\nACPACDACjAAjUDY9YLn9xo35pWDdonBMGmyP7Ggx6pfnhh9fwHtxFub3k5touSWUz7gJ/X85fY1t\nww6gf81yyknsnBFgBBgBRoARYAQYgVIjUPxJT6WmSnEEV8JXPZvj/v1HuH/2DBJGj0dtvMEl8orp\nG5ZDxKE10Jw/BTUKESkQP8Vig+bwIN8Vojfhp6MLyZRTF5IQi07YdcgdVmWUmLqWsXhGgBFgBBgB\nRoAR+PAEyqw5oVWeJt/7jUC/zNW4stGYJ9eiz3cYP7oFuoz8Ezd9DAqlKRHWxqzUR7Bz/QELq4/B\nrsktC83PEhkBRoARYAQYAUaAEXhfBMrsHLBsGYEZMwdC+h4kFyF9+3EJGVVFW/FLD909jmLM3j7Y\nHvn6HZhqojy9gQmUWXv2HdrOijICjAAjwAgwAoxAcQmUWQPMoLoRMP5vDLHInbslTqW3Ihecxo8m\nxWlWJQzw+gVr998pLjs+f7T/BowdNBJrUBN/zx6LMU4euCeSlEgWK8QIMAKMACPACDACXwaBMuuy\nMW07G8++08/TS9YjduOZjmGeuKJc6LSahn++LkrOgnlM243FBvrPAiPACDACjAAjwAgwAkUlUGYN\nMImOPqrka6WmvmGBuHxZ1FwKoc0tqM8CI8AIMAKMACPACDACH4BAccbqPoA6rApGgBFgBBgBRoAR\nYAQ+fwLMAPv8+5i1kBFgBBgBRoARYAQ+MQLMAPvEOoSpwwgwAowAI8AIMAKfPwFmgH3+fcxayAgw\nAowAI8AIMAKfGIEyNwk/Jz4UJ69FQ19fj1BmIjlZgiadHWD2UVoiws1DG+DlcQpNFvpgekfLj969\n3PZK5w6ewpPXRug1oBOMPwqXd8FQOkwTIiOhYVITVd6RR078bRw4fB3iuu0wsF3dd2loqZUViBIQ\ndCcc2dnZ4Fa3q1ixIgR0nkH/AS0I6dqqkU2JWWQlJyNHX/+ta+2Vph4ZMZF4Ia4A05qGb9Wj1EAr\nCRaIUvA4IgHaxqYw1Wdv9CihYaeMACOghkCZ84Bp6puhRrnH6Nq1A7rufQg9UxPZ8qtqWliK0XFn\nl8DhqD7GO2ljUd9DSCvFuooqWiLUQ13jdExxnotH77ge2fPAC3j4jjKKqrc8X2kwFYhuoo6NDQYc\npHXi3jFw959hlj/GOv6NxHeUxRXXSL4BD++j7/XeiT7vgTYd1+F+XAYZXtHwatsebTZcQzb9S3ke\ngI5tR+N2enHXqhPjedAF/Ok5DkbmXXGrCOVLR48MnCYdftlwBMfXjEY13W74X8j76ImSd6ZG/CUM\nrjYIx+/dgN9gC7gef1RyYawkI8AIfDEE3tEf8OE5cQZGE4e2cIQm7Mb+hNY20tXvP7wmQOzdEHTr\nPBSt+/2E6P6AzsdQokCdQtRu3QYOgr8LpBQ3Ivr8SSRbtYHVB/xBXxpMJdrWuLRnD7JbFLY7aNHo\nSIRV0bpDG8osIl/Su4dofz8sufotJr27KJmEFJzd/hoXEjbBTiiARvpNLKU9Uj0mj0Q7/rvSDEsO\nJKKWPrdzQ/HCq0wh7Lr0QOPFEUUoWDp6iEP+RN+lxniePJ52wBiPllU6oEOrpWiW8jvtB/sxwgt4\nWfSGycn7+KWVAQRdrNHLuBl2BEXTItEf72/TxyDB6mQEGIHiEShzHjC+eWL6JU8PFUG2qJDWZuBh\nUCCuhTxW4V0omCYQpyMhJgZJJFKQnoCwsHDEFer9ESElqxIaGJeDSCSGto7Uln2THIXgwEDciUxS\n6JZOQzac7DSxCAnh4YhOl2+kpMiiOHkd8wSBVP5R/CtFHHeSEhlK8UF4rsLzIE9TyCU+XNASiqm+\nMDyOydWFT8j3wQ0VhVKdt6jNkZHxEFP6q/BTmLw4CIJX6RClp/NxXDFuiFOaN1oWJ0ZyfDxiYqgc\ntS8qLAwR8en5aih4qYoTZ9SoYpq/dHF1EFM/mrdqBWsduckkRlRIEK4FhVB7I5X6ueB9oVx3QmQ4\nHlC/irJzd1+Qp6vrN3l6gSOxEhH3/46eQIO2tYkrR/3dg0byfUS2/Yk3vjhpqfcC8K+gC1rUkm/O\nJYZhfUvoFrsqISyJ4Vf1a6FqEWy30tKDv7VzvHFD9j1o0GUgILlI36nievSKDUBlAYEoFv9DM/xo\nK12VUKJdF/1tdBCRKv3bJBaJFN8dlQJYJCPACHyxBMqmAfaW7tKIvwFn3ZrY8+w1ch4dhJneaFyh\nuWJcUJf2Ju4WZve2RS1jXVSeshX3g4/SUJ4ePP2fqawt9speeCw+jBXLFsLNcws/VBdz1gtVanki\nkkqErvkRVq4HeOPv+ZnVqGNtDbM2IzDZrinq1/hDhVEIPNg3B4a9/0Rydjz9qjajup/zdQd7NkbN\ncZchyAxCf1N9rAuMlemUgTPu36Hm9JPIzL6H+qZVsSUslU/TkwRg7sTx+PNGKE5MbQJ77/9kZfIe\nNJKvYmwfdzzWqgjJvd2wabyVDMUX2OczAXdwCbt9vOC2aBvfvteR/6CXQQ+cTXmNp1t+gsEkrn3x\nOLVwNKytLWBQdThO3gvGhl51FW3PW5v0Sh0nVUzzly+JDnGX/GBubg7TdcEkToTjk/rANzSdFu19\ngVk2tlh1J0ntfcHVLxA9xYoeZhiz6zKibm5HV/uJQOvyCtXU9Zsig4qT2GsHsWDiVxi2Nw4tYk9h\nycbzyGtyAxlkjIeRwR6u7j//IyGv4Zaj/w1mOX+jqPHR5YPAtx3J+JRbTXoY6DYEhW9Vryhe4pPS\n0qNC/SEICnqAb2TteRZwkjqoDUwV7SuxyiUqmJOUQN+TfMafgQb+DnhC8p5jmXFNGHjfKJFsVogR\nYAQ+bwJlbgjy7d2RgW29HKFx5D7mtjOm7K0Rtm0a6g3ejpfH+mC/2rRhWLfVC7taPMKjjVPBlXzZ\nUB/V7AegZXgA2hnKH2BSDYxbDYeP9xE0yfoVns629AC/BJ3e7jgSkYJ23PBO80NI0KuH0fa2+Kuf\nK7b/uRFDLcdix0UPHDydVGDisCTmFJqP/gOHo1PgQA+TTgHLoNt6D8Yn/4zrS+JQZ60DmrWzwl7v\nY2h4Phzjmhsjzt8HfVbY4HbKVNQmY8KVtgQ/eS8Wo82lOlYfMB8uHc2AJvGY1eIyEie3LPDgzXx4\nGbvRGAtpUraxnQ0OLd2HbGF1DPc5gv/96YJxi9zQnIaygARsbjQI5bdfx68daSiv437c1LXGWdcY\nDPTywE4/e4y8v5vfh1Pg2BwC3WbStjtaSpWRfXKcrNVxcszLNE9B/iIB20ukw0Tc9vSHbRZnTIVh\nnd9LOP/WBFY1K8Pvgi82ZRd2z/yEwPldMb/FdqTO+I7XoumRdJjPJGEU1Pebi9Im8XzWPB/GrQbB\ns15VrP7rCCa6uaFenlTpxZNLR7A9NEntHEdRogTtJs1AVwt1X+MEXHG7A6uVKwrVRUXV7znq/ekh\n0daDhYUerx93L42dcRZTj9ym+//jhKyXj/iK8/tEDXS5mKro6D0dpvWrfxzlWK2MACPwSRNQ95f7\nk1ZanXKxV04gqpYp/gpJh4Ne7sQlQ8vGwCV/GtZrojYtTDQU1pn0UG1orDCOKtZtTnPNHuDKkyQy\nwAr6DDKz6JdvlnS4LzPqHj3dhyv9EteDg7stXJ/Ek7omSEt8g2HkGZIIa+GH7rULNEGU+JKPW7jI\nE8FVBMgSxQAN9OhNLx04PbsIvQPHMXNSDESxV1C/rSufNzaUflmPGAEyhyhUx/RY8r1xeyqJbtMQ\nrTUm2pnyKaJM7hd6eZVzlio0/h6uF+1haeBCeVpj8Z6V4GY40Tgb9wl+lJcmt2mkP8e/kiyc8vCE\n95MaEGRlIZgGV0wSyW9ThfIKWqFmZc5QI6OENOo03hA+T1L4a+WPwjlZQpmpcjnu/F10yJB5KSTa\ntpi7wBQdbMgwpdDRZSPWTErCz2rumYfp/2fvSuBqzr7499WLJLRZQjJpQSJL9oTJVky2xJAlwwgz\nRWNkGWQtf1Fjyb4nxjZR2bIksiSiBSEqylJUWvX0/vf39vd6r17JjOFen+fd3/3de+6933t//c47\n59xzuiFo02vMO2/Jq8/8V1OPsOeJfBWT4nUD6lTwdD27eAIY1RdGIsrSmTaOhLmXLqrUlUr2YwRy\nizC5S3O57Vicx1hOmN4T0IK8CKrZkVmYfO0sXMwrr7CU7PBzjIPFeYYFRkNhfTAGS2wMJbv7R/Oq\nGrq8/pjTppIpKpcpUUdnlznoLHmD5ikCFAGKgACBCl4RXyZOLGmti2iQKZGRyG3hxL8WmvuQKy4v\nT+yShLOVd49XjzAQiSJyVci8RgGHMDs8iRFxkpGTDvB/rKOYMACN9WSjV4q7YJUwEpUe8Fk4F50E\n6pTfF3DAYb/A8mbdcWrBLgT7u0EjugH6XC1BcXYm3peSJq/zydk2/tTYDPMltCVi6aC2mAcVdyST\ny0/PxPexiXDhpCM2+gRGje6MFsk5sBecKOASzEqSruNBPb4N0ZLtK+AueCG7zV3E706wHkxdYcrP\nIoWNmJHJS4pxkldbWCak/yljYNSJ2Z3/h7RkFSTGxmDv8KnwMNnF70LOvuCyaxHmRFpTL1GN2CEq\nWjfhqBV9FyH+7GlyiMONbMsiYnP4Hqam9aUq3wn8H3bFZSmUgBUS3rev2wI4GNWRaie8yE0ktois\ngcT+S/59LtsYC0KvYoGwwWf6rv5xZGGbszN0zidiFpEEp0ecQn6XgeSwCP8HwGeahlyyNZoZkwMv\nLGJvKXH7bSncO30nUUCzFAGKAEWgLALSb5ay97/IEq66GuFrWOS1Jf6rV5gcAreV79G4nhlcnfRw\n4MYj0dhjj+8hkqJxaKWl+J658I839yFRtvHTu9unEMzqj36t5DNOamQMwqTRvC0suKeRlE7eiiQx\n0oUdvhmY1t6AXKkS+ZO4Lq+CzH8axh3RG9dwL0XozIIwXg4L8OjRDXijBdZ62PPUh3f2b0ECYbnu\nHgvAczMbIHQP7gjs27jJh+Dge4twY4RF4IqP5qtrKO5bJSsGsw8/QSPTdhg49g/ss26Ht7mFPKPw\nLIYGgTg/9SneqrbGhEn1seQIoS9IsX4T8Gc83+YM3Cg8fcNnuFTyEnHgUBZmdS4r2ykfJ8ZLleKx\nctWrPgYe3Zrkf85b+NsROze979DNdiQ2nF6I1DRthXvGXL0RT5q3an+0cNpIjr1CJKU1ebtP0bo9\nJYc6wjzHYWnYA1E76UwxkuMLMLqPMYojNmH13Wzp2+Sq9YBxmDNjBmYo+Pz22wz0aiyfuWKI3Y9k\n7L/sYV6N9lGsolwiCeVKMRyMXeUs+19xOUM+w12948hH8JhOmG04E/010smBl/PYsf8GUZvz7Tvl\njUM4vnCZ8SkqfxOxASM8j5dxM5JByh3d9uG5xEpx1ZtgIGIQcvsdr5RV9AQBCe/RvB4ZEPIFe+Cx\nRAuapQhQBCgCfASYvxL/qVRCTufN/GUpgvERwa5T8apzcyIhSMXGXSGA/QY0JVKg1uvD8WRSL4xM\nmgUbXMKClOGI2zWYvDBZsFN4j0h6QOw2uHvQdkpj/Gn+Hr8ufoJ9d7aLJFKSQKWG+WLS3HMwNy/A\nhOLp2DB3ME5f24Wxln0R5zMB+XsX42PAKay0aYKbAR6YnkAYFdcB+Oi5C384tJQkxcuXanbAoVv7\n4dSpGRJ9fKF1+zz0lvihlUkpfJ1eYYqrF1yNyUtbZxh6LxoCz+lbEOzihKgdr9HdcDS81vVG4rlX\nWBTQHVtdZ5BZJ+LSlHU4P7cVgoj0DKVxcPZpjiAyTuF5OF7HajUQt6I/ZtRcB6vieJy0mIlt5Ph8\nKVpjpYcGBjm7wY6oUJftU4Opz1msnWSDNm5u+K1xGi5iLDZbEvUU0cYxDPFPo1yROaUTrrnPh+6O\n8/DqTlR1MokxzlaEkzxMpdkLNvpVYQwM3U5zz5KR5ONIt3nQLl2PyVNU4NRNG+e3JWLJsV/QT1vx\nnrFZHo61zmPwvWciRmm/RugKxsXHMQz00kPI4mFy182EnYezERew5nJXzLJrKccGqyaatDHBiY3z\nEPi2PXb5m8ggxag69cGw75VLRbjkMx+Bj18i8RBhls1rwm1MJPp5+cLR9FNUiUW4GrAMG0MukuGU\nYtGkH9HHeRl+tyMMZG4GdkTuBueOB3rpGwqG+3nGUZhwFM6hzE+kKei2SdAVee7didRZ/jiIlYBg\nfB0LvUkDsfxSUXkeMSc4t7kYHKa6RCp6/gxndiUgdcU4NBUxtbqYcmcveluOg8G+n5G7dTpa7bgB\nFx7WL/GU7IHrpr9LUKFZigBFgCLAR4DFJUkWjDVr1iA0NBSLiXFwx44dZW//Z64ZNV0u8c5VX45n\nann3OAnboTOFixdRk1BMXClo6WnxpByVmzDjliEbqpp6qKNeuZb82vLbF+VlI4/Dhp4W0Q0SFwYc\ntrpobIwLjTfZRWS8eqIypXsW0PrIqDSJzQqPvkRjxoUGV1NLyp5JFjsWsTkb3HAFlr86iJbEhccH\npeYuf54SXZebrfoYOCgiONYCH7PaBDNJhlSWruQg+Pfqkf2kRlxzEPkrYfbZop8w8uaThc1e4Ri7\n2EkOAyZJ+b+fV824iE1JpviZ/OD4N9PnHkf8zv8hY/hv6FcFP2r/Ji60b4oAReCfQyAmJgZeXl6w\ns7PDnDlzFHb8n1RBKpyNzI2aWnpymS+mmuw9hol5kEjURQn38JSo9PSqxHwxlNk8RqhqzJfi9uqE\nCRIxRxLMF9OCy9Yk460C88Xrjs/IMXiI6DPlgqRJQs7IGpNLY8fByycpiOCewu0HaVAl41Bu7p+G\nU9XHwIY6YZqEmEkyX8yUpekKUeB/8+/xJSjqmpLMF3O/7HwywjYjxrjtV898MZLFo9470MC0rMRT\nGsHPffV5x8E4tfU/p4GOlPn63AtJ6VMEvgkEvmoGrDIr+DH7IW5mWmLH9q64ee52GZ9MlaH1bdXN\nwZ0bb7Bjxw5wb8fhlYIDEp8Xky9hDLIzLEI6serzGdtK9sZXd83ivEeTcSuJCxKxeu/fmOTnHkfR\ne3X8unZqGVcu/8ZcaZ8UAYrAfx8BkQLlvz+VT5uBil5HuLj+d9Wtnzb7T2mti4EuLp9CoBrafglj\nkJ2GOjra9ZAt/CqvucRvnJXVvz+1zz2OGvqticc8migCFAGKQPUgQCVg1YMjpUIRoAhQBCgCFAGK\nAEVAaQQoA6Y0VLQiRYAiQBGgCFAEKAIUgepBgKogFeKYg5iw4zhy5g4KSJ0GnR0xe6wFInZeId6t\n+T65FDb9zDc+Zj/CqaCDOPcgk/SkjV6TpmNY02RsvFobvzhUj5LkQ8ZdhN95g9q11cDJzyeOZIEa\nNbTQ1NwCLfWlnUN85ulS8hQBigBFgCJAEfjqEKASMDlLWpB8AT/UNcSPl1Ux4Y/l8PX1wUjN62hI\nAnyPuluKT/GmJKe7ShXFk4Dd2s064k7j/lhC/IWtXfETPu5yhJZRf2TWb1guLQ5xOaFsUq3TEPVe\nHsOQIUNwm/iCb964PlTe3cJks6aYEhinLBlajyJAEaAIUAQoAhQBOQhQBkwGlMKkY2hkORStD97C\nQ29ntNSrQ3w9qcPMwR377HUxckDbcn1tFeWRkEefKcUGTED3yTE49jCLOHPtAm3iT0FVsymcfNYR\n4+DW6NtaOpSN7DDifadibazAc73sTZlrVc1GMG1GIgSquGOMXWe0trRCXxKbcL8fcTw6I6KMl3CZ\n5vSSIkARoAhQBCgCFIFyEKAMmAQ4TIDflZ2mAh5/w5t4+JZObBhaDkTflvrSxRJXjENSl/5bqsyc\nsIpySIzCNLyTFFQxjlJJH4UJe9Fr7nEsuXwItrLH/dl10dnaAS0q8E+kVpOF7BJl/URwcPfkQWBa\nD0Gwb2ai+bh69AIJWSk/sLcEFDRLEaAIUAQoAhQBikA5CFAGTAKclNCN8McH7HXpKVEqzho4zoJ9\nMxKuSEFKProF2T/1q5KfoMKkEHRv0AzmluYwbLQIz3h8Ug62uXojiTiJPbl8MdBmMcYxoX9kEpdd\nH67rJkgwSjIVqnDJ4jxHxK63cOxmSAJuFyE/8ymOe03D9CsOOLNn4jfgXLQKoNEmFAGKAEWAIkAR\nUBIByoBJAPX8wW2icluM7gaSTBaHMCD8SrpGptBWcGwhOWwF2s1ogq0ubSUoKpdlJG+zO43HrFvP\nkJv7GqfnXcXPhx6hJCkY8f3HwZyTjJOh2ehJmDtJX+McMjD+0OrB1LSxcp0pWas0I57HjGqnX8Wm\nFV4YY9QeE9Y2wuOc9eimV3WHm8WEkXuQwQ9YruRQaDWKAEWAIkARoAh8dQgoYCe+unkqMaEc3P+b\nhCKa9ruUBCs1LADLjl8jgY1DEccaiB3R28oENY72G4/vFzEBmltj6ZgovMgtE15T1H92ZBYmXzsL\nF3OxJKs0Iw29TsdhpKk2r173uXsx3OswAuKK4bKkBVicOOSAC9suzUV0GHXgBd+F8L98A5GR8TC2\nJ0Gdd3milTpLVOeqnysGHUqBtQ6/LDIykgRnfoMYwbW8sQgbv4yL4Nl/ubtO5knW3OaOwZAGvXA2\n2QvjSLBuJqnk3cAop3vYFjpFSiJWFHsQmwv6wl0mGHdc8BasdvbEd+efYKm+bBAgYc/0myJAEaAI\nUAQoAl8/ApQBE61xPbQd2hKIfYcSUiYEppndL9jZ2Qy1D4Vge3wQHA3KCg2t3Pcivo0v2ozMwfyg\npWguoqlchmVgjTEGknUbotEDfzh3CUIuYai4RWpoAhUUFwhEcbyqtdF/7jqY1J+IdldHIDzIQ4px\nZKr0cA9ArruYboLfBBzqsQ5LrXTEhXJzHCScCSbM6HqRWvND6mNcQimGCsSB+ZnP8fDqSYSR06Kv\nsgtRR0vMUHEK3kPSjE3YhYXDz/jDJwr7hQX0myJAEaAIUAQoAt8oAmW5iW8UCGbaJn1HA6FTEZLM\neP4SJg4urvkVYP2MznKYL2GtZrYeSNj2FqMC7gmLPuGbDeMuw7DpB746k6tugtEejbDKbReeS1Bl\nFd3HavcTwJLOZZgviWqVzrJIL6d3ZWHaoPaith8LsggGg9DVtC7ehB/FnawcXCIBmEcPNsbH99Ls\nFlutBmqqqYvaSmZKGIdiNFEEKAIUAYoAReAbR0Ao6PnGYeBPX8tqCmL3vYalZSOELvDG4KYquH3p\nMj42HYrhs3uKpEGKwGo2ZCqM+4birWvbT2SIsnD1qQHsBKo+Rh5nszgS298OR+u64VgS4AL93Ps4\ncTkTraaPxFIioauulBq2Hp4bgxBC5IAtV/9K7MB84GZjCNW65PQn9xT+DgxA8iVN/G9bU9xFb0wY\n0RtmREpXknwGc1aFQV23FrIjduBA8xi8MtQAq/AttAf8jt/LnCqtrhFTOhQBigBFgCJAEfjvIUAZ\nMJk1M3JYgPevZyIt9TmyUQvfj5hG/G3JVFJwyVVvi51nTaFkdQVUiG1V9n2chSFcpGroYpR/BBy8\nXiL1RRZK6/bGUNf6ZITKJ0a1qqVW/pIzKtcD5COb1IwG4116Eh48zkJ9J3PoEvuvy80HYbL6C4SG\nF8HedgD8tg3gNSuKboWWJUOIDVhZVadaTUBdgXRMtk96TRGgCFAEKAIUga8VgfLfxl/rrCuYF1e9\nHpqakk8F9eTdVtf8VPYLyH10EzXa2Yrs0CT7qanVCCbkU5Vk6b4HllVpKGjDOGc1J9JBJnHZtWCk\nmYwtXlmwcpMwNCP3OMSVB/O/bHoScRR7Lj9B6O3VaOo0EuNt28hWodcUAYoARYAiQBH4JhCgDNgX\nuMyvn7Exql/LL3Bk4iEx0r5V2+S73GAzYi5G3CaTWtiMwArmI1NOLykCFAGKAEWAIvCtIUAZsC9w\nxY1IyB+jL3Bcyg5J3XI8pGViyrak9SgCFAGKAEWAIvBtIEBPQX4b60xnSRGgCFAEKAIUAYrAF4QA\nZcA+cTFYnBw8SXv3iVSqp/mXNBZ5MyomvsPelTUNk1f1s5d96Vh9dgBoBxQBigBFgCLwryJAVZAK\n4c9BTNhxHDlzB4xXsAadHTF7rAUidl5BZxd7gZuJLGxzcEDJihNwlXCkyuJk4fS2TQh7kImPOm0x\nzbkTEh7UhJPdp9l1cdPOwGVjATZ5D5N7+pFLVjNm6VD8NfUw5lk1UDiz6r7xMfsRTgUdxDkyX0Ab\nvSZNx7Cmydh4tTZ+cbDgdcfNOIPhw29j47V5pIY4fS6sknYuwPkOHnC1LHsSk+n9c2H1LPo8Egpq\nQVutENnZ6rC264JXEefwFPWgSXbS25JGGEAOH6hkJuL0zdfQrs1BUb3W6GNZvaGkxAjTHEWAIkAR\noAh8iQhQCZicVSkkPq1+IB7eHaNVMeGP5fD19cFIzetoWNcAo+6WQhhEKGmnBw7/uEvqJc8qeoyF\nOma4YTgU3v7+JPSOKeZb2mDXO8XhieQMQU5RPg7/Pg1H4zKhOJJiPTht24NU218RXfSp/ckZgpyi\n+MMLod2sI+407o+FK3yxdsVP+LjLEVpG/ZFZv6GgRRbWtfTCjJOeUlECPhdWKplXMMl9Ay4nvJAz\nYmFR5bHKy8sTNlb4XVe3Nh6udsTAQX/jY+NGhFFmQ0dfE2eGDMGAzdGop8/fPaqaOvhwZgoGrI5G\nLd06CunRGxQBigBFgCLwdSJAGTCZdS1MOoaGlo5offAWkhc7o6VeHbDZ6jBzcMc+e12MHNCW5x5C\nJe82PGapYoOTiRSFhwc84e9xHIvsLHhSKg0jayzyGIIhVoZS9Sp7kR21BT+FEm/0FSQuYXEW7zXA\n95tvVFCTuV2EvLyq6wRjAyag+0+PcDI5C384dEF9TTZUNZvCyWcdLEhczL6t6/PGkBPujyWuy2Gn\nx5Ia0+fBioOQZS6II7Ezc4rlHMWUGEHlsMrCgQV78VqivbysjlFXDBvRj8TcbAtbyxa8vaJj2hZG\nLCKe7NIHPc2b8cq46mp4UzAW10PnoasBZcDkYUnLKAIUAYrA14wAZcAkVpfFeYaVnaYCHn/Du4zn\ndjYMLQeib0viEZ6kV9f/RqbXFJhIKXHzcfPoTXJX+sWvbtwDXRpXxmUqrwvRfyzOfXgR3w0x17YC\nkcfwIK986Zb+gDHotSRMKmyRiJhEJj9iLfptvytRony2MGEves09jiURAbDRU5NuyK6LztYOaKHF\nMFxFuLQjFttn9JSuQ4KJfw6s8qK34EDLLTg4XR/Rb/Jl+ix7qSxWTDSCmrWIew0lUgn4kjIha5sX\nvR+eXCK3PBeHt4L2L4P98NhpCmFTaaIIUAQoAhSBbxEByoBJrHpK6EYSeucD9rrIMgv8SgaOs2Df\nrAbv4nH4FQzpLfv6rI3OI/oCvkNRt9toLPbbgetp79Fm7DR00pSW/kh0W2H2pu8qNF09DSZqxMEp\nqy4qcGYPrnoLDGp1G/ezy2PUcrDbcwNmjeDbaFU4CKkK+Ti5fDHQZjHGybWxqg/XdRN4jmxZHBJX\nMoyDptoyTBo+B1Yv4P3rQyxy7YNWFt1RHHxXxPBIDV/iQjmsJBooldUU1WLhGdbu/4DDfmMBclaD\nQYFVdA/eBw0x17aJqB7NUAQoAhQBisC3hQBlwCTW+/mD2zymopcBn8mSuMXL6hqZQpsn8cpHYkAi\nKRPKOMQ1zcb7ItjvDwzRuYh1i2ahv3kT/J3GeIavWuKmhcAn3REe5hpQ0THixWN8+kY6+HVZymxi\n8h2LyEfyT2cyhu9/TemAveOPYZSCuZalKS5hFT3BxdAc9PypH+SZ+nPZ9WBqyjcqZxXlEklcGzSW\nw4BWN1ZJO1dA1XcJTMlQS4rfk/MANXkMj3jk8nLlYyVuUXatxfekcwZdCBOeEI4npDh553rozvgZ\n7erw14zZPnc2B8DC68dPjBcq3Se9oghQBCgCFIH/FgJSCrT/1tCre7Q5uP/3A8DGXWRkL9kDNy0S\nJ3PN8YM5/1RdzdZsvMiRfilnpWVAw0AffVzm8D4fMmIw36w/Tt5OxVADY0IuBxvsf0OXo1thRQJY\nV5wYw/tfcPZZX7i5hYNV8IbX5HkWUWcZ8FWaRdEbMfJWV4S4dpQiV0xsoBrWK7u8jJp1hY4VvFEM\npG/HjyHLyKgUpXfE5qkfDgR7SalaWWTaL1AK2y7N5TZ8EnYEeb1GoJ2A6dLsaQhdmZoVYaVCYk2O\ncrqHbaFToIyFlEr2DWJ4H4jak9TgdqgQT3eFE1GTPp6TwwitBFhXBivmgMCCPuNxR0d4ZvMdIiPj\nYR13TDSTyLfmiLzog3Zy11ITpWnXsO5uT6x10SAcYR/ClEUjLuk09uQMw0ZTUkYTRYAiQBGgCHyz\nCJR9Q3+zUNRD26HETcRjafstIRzhG/eD7bZBeIniRA6aSDE4L3Fg6TGM3TZD5CKihr45LM1rIamx\nDj7mZeHp/Us4cKUU7dKJuwYjvoG6iKCcTHaEP3b3C0auS1veXUZ1lXXolKhmVtoj3Dh6BFzTdnhH\nBCySQcNrgoUUGQaRachlN8f83Mew9ByKZY1+wgH3riJ6yma4bDU0gQqKC6QZUKY9Y6+2fl82OYQg\nZjDzrqSAOT4gZqTKxyqf+At7ePUkwshJ1FfZhaijVZH9HAehc1bCLeGNSKJXOLUnGnYLEvkdqyxW\nXHVjLL8WJQFJDrZ4HoGj9+QKJVesEsLccg9jzbTamLTHn2d0T1hmUrYHthOA0+f+lKBLsxQBigBF\ngCLwLSJAVZASq27SdxhwaCJCpFSGHNwh7ib8DafCTl9ox1QbrWZ3A0uCV1PJTkHQX7eRJuH+oSQp\nDNMTh2F0e21ykrIEyRf2I961NzQ5hQLlZT7CPMdhaRiRvMkklewYTPcsxlYB88XcZuyVehNVZODt\n57zanNwn2LypEKNa1EZukcRgyN1iEnbb2kQoveFVl/ivHuy8Q/DToRHYJzVXiSrlZLnqJhgzvQFW\nuR2QOhXIKnqODQ5z0GmFWL3GVa9LbMHikS5xcKAirFglubjkvQOjBxvj43vCWZKkkhmDWfa/4nKG\n9DyZexnhq7GxwyIR88WUqfECgotVsFXHiqHGT0yY9bIsp/Cu+FujqQV6Ewb18eAJ6Cc4+SncK91n\nTkd3OepYcWuaowhQBCgCFIFvAQHKgEmsspbVTMTum4vx5nqY4bMDgYH++NneASG6hCmTUfGZ9LDA\n2gsJota5j24hvnU+UVuNwcqd+7HbbxZ0rUIR8mAtWrNZhHlqROyl6sBztAPam/JdEQDv8TTiAtYs\nDyc5cUoN84Vmsz4ISTiDwIgU3g1GJeY7ZjRmJbzHI/epmBf8APqG2qht7YxRNu1hqCVkDgmzkheP\n4/c7oBXvFKKYrnSuNpx8Z2LT0TjpYqWu2OjlfRXbrQ7DuJ4T1gYeJvOdj0EjVqPF+iCMMxKr17js\nphhol4fk1zwZEI96RVhp6DdBTcLCTBjRG2YGfCayODcDOyJ34/CddNEIGQP/bVN+gNlwb1wOOYH7\nAub3ddQeTPhpJ6mXiIH9xuBwUu4nYiXqUrmMeg1kskYgcIpYLazRlHjqZf2M7WNbKUeD1qIIUAQo\nAhSBrxoBFpck2RmuWbMGoaGhWLx4MTp2FL9EZOt9y9eMHzD7Jhvhk7Wdx2BVjAXf/qtv6HrkBt+A\nuYONQCWXhd1e5zFi8SgJFV3F1JgajE3TsLj+CB2UhbPvzTHQlK/kSwuchBG5M3FThmlUjmr118qO\nWIRmx3og13+AUsQZ+y/HKQ+xJ6gvzocXwd6WsZ8DVDMuYlOSKX62aaIUHclKn45VFra6HcJQ/+ly\nDx5I9kXzFAGKAEWAIvDtIhATEwMvLy/Y2dlhzpw5CoGgEjCF0JR/o1SzA3zXfcTsQ2XVh/JbslHf\nuDZO+q3GfUMLEbOVEb4FV43F1/Lbyi/lauhCP+koVu9NRQcB88XiPMbK6SrYNqmD/Eb/QqmWjRu8\nd3vheEapUr1z2bVgpJmMLV6Hod2phaBNPo4StWQDU3nnLism++lY6WL8ChfKfFUMNa1BEaAIUAQo\nAkogQI3wlQBJURVTF3+MHTMYmyyDMV1wOlJRXRC/V07+a4jneUCTeIznpyKkf7CBTxXVUrXMR2Pb\nwjxwNTV5ht7MKcu9zpNgEhGs4GSe4tF93ju6mPlkBeyMl6BN5lKpE5Xy+uWqt4V3gBFySfTEOgKo\nWJz3aDJuJaxEdnjyWiouqw6s1DUZKzCaKAIUAYoARYAi8OkICDmBT6f0TVKoB+eg00hVUrLDeFMn\nvJJEUkdHux4S15XPqkoQZNxDdF8dhhZfYGibUr0+CH7WijBVyiUumzBfElW57EawspIoqEL2v4JV\nFaZGm1AEKAIUAYrAfwwByoB98oLVRjN+dKJPpvSpBBgHqC2IrfeXmlS1GkHRucx/esxfMlbM4YIT\ne0Pwhvhyq2fxA0ZYqeLkzjBkEu8WLQY7o5dBLi6Qgw/33mii70QntJU4gPFP40j7owhQBCgCFIGq\nIUBtwKqGm6gVi5ODJ2lidweiG/9SJicjA+Lzhv/SIBR0+yVh9SWNRRYu5uSodcsCuG9no78Vc+Cg\nEcyKD8LttQlhvpjTrrrQyU1D/X52n4n5ysej2GjcTEhVyu2G7Pj/yesvbR3LPn8cPE+Ixc3Yh3gj\n4aLmn8SI9kURoAh8mQhQBkzBujDhem4c3gJPT0/exzfwkpy4glnY5mCPs1llDpIiJSII89zciAd7\nTxyNfYIbgbtwV8IXloJuyy3mpp3BJM/j5TJYHxJ2oY3nmX/0xfkh4y6C/JYKsPLCsehUOfOQjxWD\n85mAZQQnN8z02oH45Ls4JMcvmhyC5RYl7VyAgFhh6OuyVblE9huzdChWRb8ue/MLKKmtRxivxGJe\nWHdW0X1snRsDvM3mrStzGjSk7miMrdDusGoTKYo9gI42m3EzMUMmrDwJQp9wGX96zeOt1+9kve7n\nlSAlPAin0qqX7f+anr/ijPvY1asb1sd9OT/UqrYzaCuKAEWgOhGgDJgcNAuTQtCdxF0MIs5M5y73\nhs/yeWgV9zOad/fFCwlPnEnEQevhH3fBVSogNQdRPsNhcYyFmT6+WOvjjo8b+6PfjHwYfJIDTiYs\n0TQcjcsslwGrbzsf++GD+RH/BGNBnNQGekCv5UrU7vcTlnt7Y6nbYJz73hJjAqX9i8nDivFttlDH\nDDcMh8Lb3x+rnU0x39IGu96VZWjlLJPCIpXMKyQs0QZcTnihsA5ItEynbXuQavsropWUTHA4fKew\n5RCttls1mrXC4NbvefSubL6E4edJFIboFMIQcXBi6wOMG2tRbX2VJfQB5l7TMdOxiyiqA4vzEvum\nGMGk+2GYjfwFPr6+WOj8Hf5s3BAWI/6GXv3qO6DwdT1/bLSwHYNZPkPKwkxLKAIUgW8aAcqAySx/\nYcIxNOz0I0aefwQ/8gJigm8z9kJ23hcwNX4l/K/yGRvGD5jHLFVscDKRolBC3EIMXNUGif6j0USd\nDVXigHX4DE9YzOtUYQgbKUIyF9lRW/BTaJZMqfzLHp5LsdlhAwmCXVEqIqcyJTjKiqrL3I8NcILN\n9A+48eogiZHZmHcSs4Z+R6y9thqhrr+LGBtFWD084Al/j+MkbJEF70WvYWSNRR5DMMTKUKanylxy\nELLMBXHEfiqnuKTchlw0x+K9Bvh+841y6wlvxvtOxdpYZY8RCFtV/fs9UV3djjiCW21GoIdVG9hr\nf0BCxH68dnAiI/+8SUUCO8Ymba1OW8zAEjzLWY8BZK3V2WzUNeqLVSd/A3rao43ceJiVH+PX+vwx\n0alooghQBCgCkghQBkwCDRaeYWW3qcDSs5hlJetvShddrDWx+U4yr8Wr638j02tKGZcKHwvIC5pb\niEIJvoZTUgOO1kYSPVUuy8RX9FpBVGbXtgKRx/CgAlVmqVZXHJ1wF2eSCsrtKD9iLfptv1tuHUU3\nCxMOotecByUpAABAAElEQVTcc1gX7SMKdi2sq9GiBxxwHXGpfAmOfKzycfPoTdJEmklSN+6BLo0r\niv0o7Knsd170FhxouQUHp+sj+k1+2QoyJfoDxqDXkjAlmFUS3qgmC9klEgsrQ6s6L5mwU049r2H4\nfg5cbMleJFI6duQy9D2lj0lSEtfq7FU+rZu+E7CY5YTrAc5lfkSoa6jDvJ+5SFImn4Jypd/a86cc\nKrQWRYAi8LUiQBkwiZVNCd4Ifxjj6LguEqXCbD5evyXMQk3+9ePwKxjSu7XwpuhbVaMuYcC2oKNO\nV7h4euN4xEOwrSbAvbssQydqUmHmpu8qNF09DSZqH0g4m7pQI1K58hMbhi3VcJiorBSnHOz23IBZ\nI6qiysrHSaKWhbUvRplqlOniQ+o9BOMjhOEp5WNVG51H9AV8h6Jut9FY7LcD19Peo83YaehUZVXt\nC3j/+hCLXPuglUV3FAfflWO3Jz1chtEZ1Oo27md/mtpTmmp1XHGQ89YAe5aO4Lnj4Koboqv5QJxe\n2L86iCtNg1Hnuq+4he6bpsqN+FDju2HYN44fLF5pogoqflvPnwIQaDFFgCLwzSBQ4av8m0GC2NY8\nj40B2oxDR0EAZcm5q+Sl4ExCAcabMD4n8pEYkAiMLisNUTN1QtxpNrbs2o0Nm1biCPnYB1xFUBVt\ndrhpIfBJd8QREoRbJZNI0bin8PRNEawMypcSqek1xK3kHMkpiPKMgfMh187YO/4YbhjUEJUrm2EV\nPcHJ0Gw47usj5atL2D4/g1F+9oClYR3yrRgrs/G+hFEzx/aja7BuURj5zMLehEwMrcKYmL6Tdq6A\nqu9ymDL5YiJ9065JgnJXlNjEGiwWkY/eoZ+VTkWVlbr/+PFjxMbGKlW3vEo6M2bi49VgHOFV+oh6\nM35A+umjguvyWip/z9DQkPhXU+xgreD5fZ4692DfllJEORwOCTDPhored+QnS3Wkb+f5qw60KA2K\nAEXgv48AZcBEa5iP+6cfAuPl22o9Ox+ES+iGo5bNSIsC1GzNxoscaQbsY/ZzPOU0hHH3EVhJPqsC\nchCyYhjGbIzAW8KA6RBP9Rvsf0OXo1thpZTNDGN4/wvOPutLTp2Fg1Xwhjfa51nkxJmAAWPiJo5y\nuodtoVOkmCGD1u1hxteWimbIZFicZ1ihYwVvEKOU9O34MWQZGZWi9A6v0Q8Hgr3KqFpziI1Vb2N5\nUj0y59X+gP1yWAgkWfKwykrLgIaBPvq4zOF9PmTEYL5Zf5y8nUoYMOaVXjmsVLJvEMP7QNSepAa3\nQ4V4uiucTFYfz4nqrpUAayYe5MhbXcsEVi8mc2lYr+yjcNXPFYMOpcBah8UDKDIyEjB/gxjBdXZk\nFiZfOwsXcyL1lEjPnj1DSEiIRMmXm+3Zs2e5DBhXjRH59kADYUgCcvUh7SJ+X7oNT+LPICKhBDP2\n3cQqB2kG7WngQrTbcFuEnSQCKm+vo9HMS9gm9aPkn3j+gFif8bgwYANmW0qvmeT4xPnqf/7EtGmO\nIkAR+NYRKPvW+WYRqQ0TGyKxeV3AQ6A48xFuPS1FFysz1Mi7hwXO24kk6zL6CaRjxYkcNJF5aT85\nthsJg+aKJAKM8X5Hy47Ag8aERiYe34/AgSulaJeeCRjVrxDp7Ah/7O4XjFwXvoqHVXQPWYdOidrl\nZz7Hw6snEVbXEK+yC1FHSywVy0iMxUO0EdUVZrjs5pif+xiWnkOxrNFPOODeVXirEt9qRGrEZ0qY\nRq8SbuFF3RboYKCN7IjtmB6ZTSRZo0UMYVmsXuLA0mMYu22GyHaohr45LM1rIamxDj7mZeHp/UuV\nwIqD0Dkr4ZbwBqME0rPCqT3RsFsQ3gl45Ky0R7hx9Ai4pu3wjhxm1JY4tFeTzCVFhplm5tXDPQC5\n7kyOnxL8JuBQj3VYWoGkzNbWFsxHmcTi5OFtkTq0ReGplGlV9Tq8/jiaUvMvjxpLYD3OuO0QphoG\nfeC3rTN2dDNFut/FMswXU++7scuRO1bYQpnvz/v8aRCcn6c+wNEVYdC1fkNOEtcV7T1Fo/scz5+i\nvmg5RYAi8O0hQG3ARGvORivbUcDaQMQRv1Y+yyKgknMNm4MvYauTPYI9DmKf6Bd7bbSa3Q0sKfvx\nItw9ug3XkiR9/bxEkPMeLJlrS2IacpB8YT/iXXtDk1PI8+fEqOfCPMdhqRy/VyrZMZjuWYytAuaL\nGSZjr9SbqCIDbz/njZpVkotLJED16MHG+Phe2kVCYeZLdDDSEs1OOsOc6gzBT4dGYF8asSurZOKq\nf4cRTjpYcuQWUqK2Yn3sezw7sBXnok/AfshSeJ1/LKFGLIuVSnYKgv66jTQJ9w8lSWGYnjgMo9tr\nE9VWSaWwyghfjY0dFomYL2Y6amDmJV4LTu4TbN5UiFEtaiNXaJwmmHcxcTdibaItuKrer4Lk6ySo\nuBe8/fyIRPRv3I0+hRMJbwWdvMD/nJfhCUdV1On7hNPw8fGDH6m//3AgUXuL5yCqVG4mC3vc1uGR\ntHBW1ILLLsaJJV5K+6Sr1bIPpuIm1h69I6LBZPKid2NWwnvM6NJcqrzqF5/3+VNns5D34BL8WZPQ\nToODIh4+/9bzV3WUaEuKAEXg60GAMmASa1nfdhEi1mmhh5k11hBr+5xXjzDf+Qe8nXUR7xe0Ix7v\n+af6mCYmPSyw9kKCqDWrKAnBkY2RvdkFk7w24UigP5zrtsKrg1E8dQeXuKNoQGRCnqMd0N60mSB4\n9ns8jbiANcvDIaYMpIb5QrNZH4QknEFgBN+QnvGZ5TtmNO+l98h9KuYFP4CGfhMyyt6YMKI3zIj0\nSZw4eHK7BE7tGHWpokSCg/vOxKajcYoqlFOujmHrz2Plg4mwGPgbamqTl9u77Rhhew6rHr7Ez7oZ\nSJE4qSmLVe6jW4hvnY8FfcZg5c792O03C7pWoQh5sJZn6K0sVox7hG1TfoDZcG9cDjmB+wKG7nXU\nHkz4aScZfyIG9huDw0m50DfURm1rZ4yyaQ9DidA9KnnxOH6/A1ppiSV65Uy8UrfiA39DowUx6Osx\nH57u7pg/yQybvx+Lorr8gKDJh3dDZ+FidBL0zdj7TdxXgl/nusPdfSZ0rvyF57UEpz6U7Pnp4UX4\nZddZ5Egwt9JNdTHpt17wWx4i+BEgfVf2iqtujP8l/A0tV1vUHbOYxxT+6TkV7vvfwMXeFRYtGDu/\n6kmf8/kDaqN5/VrEv9lo9LE047mXAXnq/r3nr3owo1QoAhSB/y4CEoqF/+4kqm/kbLR38cW7UX8g\nJf0tVAo00LLNYky0bYTjU35E1pyDMBN01rDrUHQdsRGJHj0FTENb7M+9JjWUkWPdJK5zcOVyTQyd\nWwPXgyNg7mBD2LFGmHEtDrW9zkvUA5rZeSA310OqjHkRegSdhGQpY/91ufkgTFZ/gdDwItjbGvPa\nqGRGwulwOyRuK3tCUZKoZvd5uNZdskT5PFe9OWYGpWISUYO+yi3AveOl5KTcdPSucx+jhwdj5bV2\nImKyWGlazUDutRmi+8A4TJRQ9TH2X8pgxYTsmbLtBPlIkCLZBt0nIPDaBKnCguhbyB7RHzUzruP0\ne3MMNOUzDinBm/F61Uw0laot/4IReGpVfASV1zg7ai26bzTDq6gpIlUXV70VJvmsgbY+c/DhBQLP\nNoS7o3iNXsbdQEmj/oLO2TAfQk6+VsIlB+Mh/8CHoVhr7YKbKe/RScY2TUAYpXrWcMyajouZg0Uq\ndeE9ed8sA2sE5L5FgPCm41hhrpq/P+fzRywBLtzAOMdJeB11ClltB6KV5r/7/FUzeJQcRYAi8B9D\ngErA5CyYqqYWjEyN8F1LEzSKXwbjuo0xHhMxQcLlQqlmB/iu+4jZhx7IoSCviI36xrVx0m817hta\niOyjMsK34Kqx+FpeS0VlXHYtGGkmExXXYWh3aiGqdmnZUswKU46pEDWqYqa2XlMYGZmih9NkRLl2\ngWbj3mjqPQPNJeh9EVhp6EKfOMldvTcVHQTMF4vzGCunq2DbpA4So1WctXTfo7TxdojHWgxf2l/E\nfAmpdnYdzzvQoJL9FDnmLUX7gLnfpJcj2h4aiYZ16xJp0ypkdx0IE94BgiKcDgiVkpIK6Ym/c3B4\nbzJcx/aDVedOeFkg1kGqpkUStaekA1nC6AwzxJUk/qEOMQ1xrrRmxedHxbWrN/d5nj+gVtNmSDm8\nHtueNiTMF1/i+U89f7yzDNULE6VGEaAI/McRoBKwchaQq94aq49tx8VHbNhOchCoDcUNTF38MXbM\nYGyyDMb0CuPyEZWf/xrieR7QFBlcFyH9gw18xrYSE61EjqveFt4BRsiFJrEx4zd8E74SzjqeSPkE\nv2OVGIKoaoPeLvjLTwdpjbpgkk3Z05H/Nla1zEdj28I8cDU1BeuYg73Ok2ASEYx2Sp1IFU1VqUwx\nYUHtzBiXJeKkkv0I1143QhfCABY8uotrxR1FN5mg0q9ggeXXXmFhUTbu7ZoM64038N7DBJeP78Sf\nIYRZ+r4zkdzJP7yRGbYGEy+rIKDpTnKaNwpnGzzlHRYoSLuLEzu34I/C4ei6fDgaCPaJdmMDaPPP\nm4jGIJlJWLwavvV/wfSxPcswkZL1Pme+ep8/wIwcDFiUV0SeP+EJjH/i+SsiMWX3YMPcE/ju/LrP\nCRelTRGgCPzHEKAMWLkLxkZL25Hko6hSPTgHnUZqRqmiCjLlbPLHX7JIHR3tekgWVDrPZRPmS6JV\nDfNJeGAr/eKXuP3Zslx2Iwx0mVYO/X8fK1UJ8FlEQNR9dRhaGEiiV87wK3VLFXo6abiSlkcOBgh9\nixEpln8Qarr9waOkYdIOXW+J7c4K44OxMWcglhDmVV1dC+Ym5hj0TpeEwdJF+yZa6DLrRxHzxTBr\nT1I/EMkjnxljXHBsTRmM3NAuPNocy0LsPsLnrjQMzFCz0ARHlgwTMV9MpdTb1/HWYjCvvux/asYj\ncC2qB7hqDZTwoybbujqvq/v5Y378CJkvZpz/xPOnDuOO1ph97QaatxDuherEiNKiCFAE/qsIUAbs\nk1euNpr98/yOwlHX0/+CBlNmlF8OVoyLkBYGZQZYTQXkkMKh04h3Go8VP7rCumEhroc/Rtups2Aj\nNLhXr4vcyzfxnqhtGRaQYYhOnHuCFvnW0MtPRFiMCdZ7m/DG8/jmM3T5IR+Xop6gd/cW+JB6AZaW\nE3A6PQetHodgfq8JqHuMf0qRCZp95Mg15PqGYLfddkxqn0uCQrWEZWoM7jfuKFK95bzRQtfvJA9u\niKeuSmyjzM0biQu+6NyXs6cYmOQ9f7pGraH7RWNIB0cRoAj8GwhQBuzfQJ32+dUjUKrZCgtCQ5Cd\nmYH3JWroTiSpkg8boz5277UHf5F4nZOJbaHRj3/itgsbORkZyFfrikGOYlGp0Q/DkBKXDgv73jzc\n1IyGIcLvFVQIQW3LITwDeSGgjCRy9OL95MMv4ZJX/8RBj5CQqY3BpnyJG3N4Y8vjVlgnJ+KDkA79\npghQBCgCFIHPiwA1wv+8+FLq3zgCWnr6MNDXk2K+hJCYu87Gu/+t5vnkYqvz2TNGgtJYT8x8MXXr\nGnWCg0NvNBFwcKyiZ3hG3JQoZ7umjlY2P2AwkZzxUw6CFhyHy//GSamuBTfpF0WAIkARoAj8QwhQ\nBqyKQBcT9wtCL+uVJcFIOQor24jWrzICPJuptHdVbl/ZhkxIqhcSftAUt2+COet/gRaJq1iZxLgA\nGWZrhqrsQcb2ra/XMnT/DH7PKjMHWvfrR+Cffu6+fkTpDL82BCgDVoUV5WacwfAh+5AjqVMidD6k\nxeBPr3kkbqMbVgRewbPokzgi8nou7uhDwi608TyjlCNMcSuak0WACSp+4/AWeHp68j6+gZcg9DEv\nrpuFbQ72OJvFFRcJcikRQZhH1srNzRNHY5/gRuAupT3ElyEmUaBGHMTObfIr7ip0hiquzFXXlXIM\nK75Tfk7RHiyvFfNCTM0ogbaEI1rJ+qWZ93Bk504cCn/4SXvzY/ZLpGdLR2aQ7EfZPLO+Fw4fwM6d\nfyNFCSwrons//AQCd/6FmEzGo9t/N1UXvlVBgLExZNZkR2AoXlTwu4EJXxWzdChWRb+uSle0DUXg\nq0eAMmCVXuIsrGvphRknPYmjAXF6H7sXem02wdz5d/j7+2CkZgTaEq/nqjplT9nVt52P/fDB/Aj6\nh0mMYOVyhUkh6K5jhCASRmjucm/4LJ+HVnE/o3l3X6kXQ9JODxz+cRdcLSVPoHEQ5TMcFsdYmOnj\ni7U+7vi4sT/6zciHgcA/VOVGI127VK8rtke0hfUvxz+JkZGmKnklfw9K1pCXL4zfSYzrjXBFJJ0j\n4bMiokX+xVTVG0CvOAJTRoYQ1ybKJmkaQBGODeqEls03iugqS0m2Hu+gRIM8EhXAW2pNZespe21o\n1gBX3Kch+Ol7ZZt8gfWUxVd2Xao6FWk6XHYdNNbOwyzXZUowxfXgtG0PUm1/RXQ1MNBVnQFtRxH4\nUhGgDFglVyYn3B9LXJfDTsqA+QVW95qNdXcC8L0Rc7JMHS0dnPCT+Sy015fv0LKH51JsdtiA5xX2\nX0R8h1XwU7NCGl9XhcKEY2jY6UeMPP8Ifo5deGFlmJe1nfcFTI1fCf+rfMZWJe82PGapYoMT/zSh\nEIUS4pB14Ko2SPQfjSbE9kqVhIkaPsMTFvM6QZJNE9avyre65Y/YFP8r9hAj++pO8vdgxb3UMh6K\ng/tOoa2AyWThJQ6tjoRQHsQlpx979rImhGoq7X5Clgaz97/ffgCB5xyrwcaMjeY9rNGbVT2romFg\niR4klqq6/EeyYgC/iBrK4Vt2Xao2+LJ0SGzX3sqvCZf8TF281wDfb75RtQHQVhSBrxgByoDJLi6H\nMDxFRSiS+OQR5418FqgIl3bEYvuMnlKtVPJe4S6pwSokXlZFiY0244lXeNG1dKZUqyuOTriLMxW8\noPMj1qLf9rvSjStxlZOWiOjoWCmbpLzsbGQRO7T3ZK5ZyclIzxO+goFiYr+UlJRG7nHwIvYariSk\n83r7SJyDZmZk8mzXPmQ8RVJymsAGjoOXyUl4klHWxkpe30XEEy0fWz6iHDIG3jX/ssKZsfAMK7tN\nBZaexSwrWYevuuhirYnNd5J5dF5d/xuZXlN4nuclCX8sIPIdbiEKJfrklNSAo7WRZDUl80V4npQk\nhS+/YW0M/XM2dh6/pyQdZauV3YMcib0qmQfZk8ze5ePLIeulje427VCX1xUHDw5vwIZ3XLwndfL4\n0anBKSGq2tYk/iQnD8lJyXhTLvNflgaLtFNpQqR/rSTXhuyRpLu4GZsgZTeZn/EI0VHReJiWRuKs\nlt0//GGWgEtYuRpEsvaS4JyaKX7GytvHjB3e3ehoxEnR/YhiQk2YxFjxNwKj8kwkbe4kpfOfd7I3\nM8kp1jdEYsjcS6oQDz5lYd8PpfoGedb4z2KK6HnjIDs7ExnkueKQf8z8ZJ8jVpFwTMlISyP15OBb\nFsey6yKcc+XmqIAOR/z3AsLnl9mDPBhJoHPBfhT2qT9gDHotCVPix6awBf2mCHwbCFAGTGKdS4ha\nq4dOQzRu0AANJD6NGzfAVhLKhQn+fDqMg6ba0j+hueo6aEfOubl3a44BU+ZiY+A5PC8yhItrH7mn\n3/hdsmHYUg2Ho1MkRiCbzcFuzw2YNcJC9oZS13d9LGAw7SpYBbEY1VgLmwW2GC/ObcB3ZmZoYj0R\n7pYd0bLpnzx10cPDv6H+oD9x9+5BNNHRgfvBXbDrEcSzq3p9ZQeMzIzg4DYXC/deQNyZlTC0/p3Y\nvP2GHdcScWp2O3T3ixSNS37fHNwP9uZj22gpGDlV1EJL3rXb3iv8l56IgvxMSvBG+MMYR8fxnY5K\n18rH67fk5UD4ByY9Dr+CIb1b8y8k/lfVICwIdws66nSFi6c3jkc8BNtqAtwrGT1AJTMGriRMVcDd\nRBxyaoq69SZL2X3VrNcEccG3PlkVJzF0uXvwzuZZPAw7zt2P6Ct7+PiSOKUpeS9xcIoZ7/pk6htc\n9Z+IZs1scZMwFOkRgdh87DoQH46A5Uuw88IzXjdcJmZOvAdGuq5BzP0IDG2si0ASzFxekkeDlf0Q\nawaZoVnT7QJ7vCzsG2OMaceTUZpyCoa6JGRVNhcZYSvQ2TsCbD0N3F3TB+0PPJTXBa9Mi3sWfZvM\nxLnHj3FiXhsYe57kYapoH2eE+0Lb0AdppHXixmEw8TwmswaM8eYLeDZowsNmNZn7h7SLGKJjj/Cc\nD3i280fouB0jP1KisHBIW7RoXA/9XdfjbgV4MIN9E7UB2s2m4G5BAcJHmaMu75nIQZhnH3TfGkNq\nZMC7cUN4hTPPfQ7OeE+GGXmu7KfMRiDZR8xz1M2PrAtJjIPdqSO88ERNA9z7QTC32IN8GXzl4Shv\nXRh6lZ2jIjoMLWF6d+dvfN+gIQ/HI8Q5MIuwWSsaNEWDRivxSPADh6veAoNa3cZ9su40UQQoAmIE\nZMzIxTe+tRwTF9DT6m/8LzUT9YI8kTB4CZruXITsGathx5wYY7PByntM/ry0QWMZOyEuuzn+eHgG\nTbfuw17fzZh3KADzNnji3rX5RACvOKnpNcSt5By5FZhfqodcO2Pv+GO4YcAEb65sysetlW/w3abe\n6GRjgkN+oWh9IRnTiNTIzNET+3Zvg7PxVOyPJAzI2Xck3MwL7J+8G4uvpcKRqGk0z26Bv8Us5GYL\nwiTZeuCezxm0DW2Ps/6jCSNgg7/nWuH2snjstm0CWGVifuebeOtuTdR4ivtuT8LBvDA3JXEPgxCf\nnIDElAE4mewHGymVrqK5cvA8lrzE2oxDRzn1VfJScCahAONNGGe0+UgMSARGS4i5BGTVTJ0Qd5qN\nLbt2Y8OmlThCPvYBVxE0tjKM7gssNxqI4oN3sMLOEHlNkrHEjgsDibBGNZqZYDDZMRLyAkUTU7qc\nVZRbZg9aua/HvhuncaCnDbrZmiBywQZYowcMNZti9C9z8GjyMDga6YO1YBV6r/Xg9dXYZgLW6bOw\n43QxFnuLA4YLBzJv3WL0JvvcfOkBdA1LxFjTrsJbom95NJiYEMv3/A9/ds7lqTFfBi/GjNML8DZo\nGO/HyPX5FugadBuRuQdRq91utDc1Rwffk3i8TT6Tx3SWAzMcfbKdHzjc7i5K6ppgcrco/CVnH9fO\nvIImw71wMjWH7/TWKhhZ9UxJ/bb4y4HZF8RZqgYbedHhSJnkh/u+zsS9RxZ21OuJmvtu4VfbpoDt\nUdyua4bLnhnYvMcXBzrNhAfBo38FeDAq78kDF8L7WjrGk2fo6ZTumLf9AVJMT2D05RF4EeXMU8t2\nST9FYqY6oXfqNYxe7ouQTVao57QAHrYNgXbMc3SVPEddofGI7EkSnmpZG3M0sDRH8KrDKNbrKIVv\nWlxZHOWtC5G/YV+bMZWaY657+XuEwVLbajQirn2ATvcIdGimRuSLjdBh0i8477NIQvLMRj3EIvLR\nO/Sz0mGa0UQRoAgQBCgDJtoGjbDwxTZoa76Fb0gdOLmycOF5Q3TVk5Z2afY0lPFqnYPkZCYsTEf8\nvJj5+CE9aitaDjxOVHvEAoL80WYcX45yuodtoVOk7GIMWreHGV9bJhoFk2FxnmGFjhW8icIE6dvx\nY8gy8hJSlN4RSVI/HAj2kviDx9StjSkpkah3LIyc9MtA0esotOzlKSBSjPdvP2L8kBYk1I0hhto1\nJ+VZ0Gep4mkOc3pNBenxhag7WHru+czo7U34NDgFZExcTDLnq5qKCphft0LbofL6BupYjkfsvkfE\nm3s3zL32Uknmi+k2n8Q5fAiMl2+r9ex8EC6hG45aNiN1C1CzNRsvcqQZMEY99JTTEMbdR2Al+awK\nyEHIimEYszECbwkDxrweYn3G48KADeUG3s6O2ANv1mjE9DdkBoYnkWHAEh8pGzLG5YNIHMdkqymV\n3YNs2EybAmeHE3jnOBGhK16STXQUz+Z2QsKJLPy4pDG/Z0nVESkpKiD7i1vMUyvXEoyNVULK2vii\no+BHBrtmPaKXlt4HktOQR4NXxqtUhOshp4DSN1jj95ZYh5FTcSueo6efGpr1/Q1J3/dBXXdSaD0N\nx9fzQzRJ0hbliQ1YbaYxL9VDzwUNsPhpJrnSL7OPi2K3kblPkPiRVA+9vdrCU1C/po4qZs2yxbzI\neGxPyOb5VlPJe4FLBIcz3j7we9oUrOJinkmB/luipsYHHh7dlMCj4HEM2X8t4WnIR/M7l4N4PZ6D\ni65t0NL5mOjZ57JrwQEPEUUYkt4WzHNkhvGWZZ+jWhY/wDOyG4x1GKa5B1YcXEcYa8G68bCAQhxl\n16Wqc5SlI+hW6ottbg8v7m/YdOk1Aizv4ux3AxAg8UOEqcyofhvWo68bKeDoxTePAH0iBFuAiamo\nTfxfliSFY6txN3jgI3LT01HInN6R+GOSdyWFsCqEiRC2S7uAWYf1EDxXHCS5adtO5Hfr37wa+cRf\n2MOrJxFW1xCvsgtRR0v4qiPKiMRY8me4jYCS+IuRqM3PfQxLz6FY1ugnHCC/hiufiISmWXecWrAL\nwf5u0IhugD5XS4iNVyYKSDw85g9iYz3mwIAw6cLctTU8V/yOD8YFeG7jjT/tjYU3xd/k/SxKrO5E\nHStvC5XXtx7PaB4f+OqIbUcuYK75YCV/CdSGiQ1B/nUBbwjFmY9w62kpuliZoUbePSxw3k4kWZf5\nkhJSoziRgyYyf/SfHNuNhEFziRKTnxjj/Y5EDYsHjaFB7Guepz7A0RVh0LV+Q16+dRUGon6RGAP0\ndEAj3vRzcHVlHLwiGhF7uDTUMzLgtWOO4TOvnupOsnuQoa/dZRgcSrtjS8BH6J68iO2bh2B/cGeU\naPeCvcT+lRwLV41Idkli2KvHEVHQsekODaYgsVgktWMssMpLCmnwGrHRoClRac7+GZ7ufflk3OcS\nOyYOXsWX4kFqMrIfJeLq/j8wbNxBIiGS/oEi2a+aaJtxUMg44GvEv1t2HzPlr1HAIeNm8+dXkJNO\nxF5iavY/rsOCiXvR3cIb3bPnw0BAe8n2FXA351vIuc1dRMZJTOHiCR0l8eCpb8XdkBybMJ0c1NRl\n40GxpBxUhqGVYjDFBPLTM/F9bCJcOOmIjT6BUaM7owWRmAuQ5FUsUGsnF0e2zNrqdeE7963sHOWt\nr654iIKcLsbsmwDTdfvRt18W+jt5lalRkygnU2R+DJWpRAsoAt8YAtQGTGrBObi2cRG6DbEkUqhU\nBEXehKQ7Iy6J39cU8TzJlrBZVlwULj5+I2W/FLdvBeI8fkN38quZVZKLS947MHqwMT6+Z6RL4lSY\n+RIdjLTEBVI55lRfCH46NAL70siv8EqmkuSbRILWAms97HlSmTv7tyCBvFbvHgvAtWxVIqviv5zE\nZPPxKssE+1cvwhy35Vj/2zA0FL30+LXUGEuamoKXB5t8c9+iQDAlVQ2GHp/ZKL9vYv8T4YtZyQPw\nPvcenH0nYtrhB+JhECRfxN7iGUIzBuTSiY1WtqOAtYGIy7gLn2URUMm5hs3Bl7DVyR7BHgexT6RG\nJKe1Zncj+EtSIEfqj27DtSRJg++XCHLegyVzbaFOXth5Dy7BnzUJ7TSIMTFPgpVP7HfGYWmY5BgZ\npoXMt585jxEvig2GJ3qjX8MMrNt6V3SCsDQ9BSEiqaDkOKqel7cHGWpcdRO4euhj5dxj6GLTBn0m\nO2O182Q0HCxhK8esGUlCZoYn7SLXtYiB+9Vjsbw9rM5bR6aMn3jzFOTlfZVHg00YEJMe48h6HRfZ\nAyHpEEb43sKbM1tw/HVdtLbqhan+G9Ar8Y2I6SvTDzcKz9KFC/kK5zZlYlZnI1Kt7D7WaN4WFtzT\nSEov5JFhTAt2+GZgWnsm8Kcq8LYUnSzbo43jSnhz/dHR5wLBrjUmTKqPJUduibqO9ZuAP+NzURk8\nNMzIXPAIB66nCui8xHKHxajTxxFYfBDPBKUfUu8hGF1h04r8ABI8R8KOhf0x1ypZMZh9+AkambbD\nwLF/YJ91O7zNLRSNiXk8FeEouy4fqjhHWTq8R0JmHzFj1R/gDIfI5Zh4oy2GyDn5XUzcxVibSP7g\nY1rRRBH4thFQXUKSLARRUVF49OgRevfujcaNBeoL2Upf4TWrKBY/jt2I3/63DIYa5Bej91LcGTwZ\nfZoIXkcqGvh4bwdedR2NtgJD/KsbVuJ5CWHWgqJRzH2NsOX2+KPQHXHeQ3gvMbU6NXB7RzwG+nig\nva7wtcaAx8HNrUEwHD4ZHXRlfhGLsK0B09Yf8Gt4HfzUtXLroKqtDb1kf/wRmg3W/TO4ptYSmis9\nEGY0Ef1e7MW4A+SE403iDLZ+T9i01CM9liJx1S+YuGodNm7ejA3+vvBZtQoNf5iB9g1qIjV4BSyn\nHyJiuySU1tNCcuAmBERfQdCtbLRrmIOtSwJwO+UvxKp0xIghndBITt+nDAdA49AcjPb6C50neuAH\nc0Ln3i6sXbMeh+8BvQZbEHXNaFw2s0fLB15o7auCOSNbEYWoONU2ssbAhldgPXgmotr/gB+0kjBt\n8ixY+V1D6PhmePSCC716fCt8dU4ixkXVwe9EbcwkVlEiVv4SgY+553CMqJ84L6KwqqcjVA7ewB/W\n+qRGDWhm30FYi4FYPtQCtXgdv8XZPzyxLLIJZk7uTNgpfqpv0gIpDn/gVq0nOHjxBXHt8Bzhlx7C\nevZUWOrya+XcO46zur0xvZJrJ+hC/pecPcivqIL6tYH/qQ6BPzGCr6OjgWC/2vhjrR3v1COr6DHW\nTPiNuMWIxNVE4spgaDfoa6giZa0LTrx8hux2gzGkXgJmOPsh7vVdpGu1gHHOObhM2YzXF2+ipF1v\n2JiUtd+poS5NY7DeI0z/ZS3iU4IIDWs4OTmR9bqIbn3/QsNmz+CzNRWLlo2D2sPDGON0GDWbfcD5\n9f5ovNANA02YfSidWJy3iEvMRfLNS0gkJxKPTHdE8dIz8CbS2ZsBc+Eks4+56k0x6gczLLaaivta\nJQhxd0bR0lCsHdIKtwT1I67Hw3LAADQoCETgn9ux5UM7rF4yG/o7hmF8JBca9/5C0MfhWNghDW6V\nwUNFC9ZOljjSxxbna9VHYtAW1HJdiBF97AkG59BlYQi0cm9h9qhQeN86gIH1s7DVdRY54BON/Q/U\nYWucDd/fSUxQgl2sigXsTQsxz8UZz2s1wJuIfThcdzjcur7DbAl8u9W8IRdH2XUZ3r4ZWvQZgvo7\nhlZqjv0s6kvtkRGtikT7KCqRRZ7ZnqjPSBrZDdHoww0YjJ8NG+HfS8FSquTdwR/z8zBpSV/BCVzp\nNaZXFIGvDYGMjAxERETAxMQEPXr0UDg9Fpck2btr1qxBaGgoFi9ejI4diXrmm0nMsX0ONImKjkmc\nInLkXV1TSj2WHbEIzY71QK7/AF6dzIxs6Olr8cLCpL7KgYoO+UOnL1RQkl+xxP7LccpD7Anqi/Ph\nRbC3Nea1U8m8CE3ji0jMXqrQVQWvImHUyKluqAtiBfLLlP+/KC8beRw29LQIQ0mOjHPY6lLzEVIq\nit2IBruMRfNiyjPCF8HspBXe+g+R20bYVtG3sn0L20uOITPsD3jmT8Z2x+bC21LfH8m8UtLfQqXg\nDkZNf4aQqJ8RNeVHZM05yAtuzVRmjKLtm2yET9Z2tCYvCcZFwuu8mqhPDlW8JO43soiQpIGhCeoL\n7HuYNoz911XHzXB8GYGstgPRincvC7u9zmPE4lEi1TNTl3E6mp3NgRaDLS8PkhcaK+VgEzH+rnvn\nKcYZ8RR7vBbV8Z/sHhTTZKR2RO0lkFxyiAhPGGNSXEc2JzkH2XvKXldMg0WeJcalhZaeFm8v8ccG\nEqw8G1xNopYWwqawS+KygdRVJXXrVFiXIVLZ+vyOGRV9LjTJHlGqEwWj5fctOy9ZDBQ0FhcLnteP\nZEzviTKT9wyL7/Jy5eMof10qP0f5dJgBfCQnbZ+9r03+5pVij1sAbPylHVQzddICJ2FE7kzcdP2W\n3iXMzGn6VhGIiYmBl5cX7OzsMGfOHIUwSAoXFFb6dm6wRcwXM2e2DPPFlGnZuMF7txeOZzDnvcBj\nvpjvmnpNYWJuLsV8MeWMwa2RZjK2eB2GdqcWTBEvXVq2FLPCZlbAfDFVyQtV+EblN63U/+qaWuI/\n3AqYL4agal0ifdgdguvEdxGjZmD+sN4JPwSTdoZVYr4Ymsr2zdRlUuq1mxgxwJyXv0LcFtiZvMEN\nKXUh7xbvP1UyLyNTI3zX0gSN4pfBmLiDGI+JmGAqZnZKNTvAd91HzD7EVx8ydn71eWF42GhkZEq8\nwptKMV8M4VpNmyHl8Hpse9pQwHwxjOgWXDW2kGG+mNrqAuZLmBe/tIui98Nz4naMrmbmi+lJdg8y\nZfwkZr6Y64qZL6aW5ByY66qkimlwybOkJ2C+mB74Y2MThkwZ5ovXgldXOearKvWZNuQ51tL7ROaL\noSJ/XrIYMDXLTYLnlRmTPOaLaVs+jvLXpfJzlE+H6f/JvvFo32or7oVvx+2eI9GcKZRIjAp45XQV\nbJvUQaKUZikCFAEGAcFvZQqG8gjoYuaTFbAzXoI2mUtlTh6WpcJVbwvvACPer+o6ArTfhK+Es44n\nUirpd6os9eorUTNywvM7hjhwYD3OkIMHBeTF3H7QUVwh9kT/VDIZOhF1vINx5F0BjqWXwiD4CobO\nsCy3e8Z+Z/Wx7bj4iA3bSQ5lNrSpiz/GjhmMTZbBmG5eVoUmS9yMuMlYRGzPhFJQRrKV/sEGPmNb\nyVZVeK2SeQWOtim48Wp6mfEobFSpG5Xbg5UiTStTBCqBQMsxa7DiwQbseTQS3q586b64eQ72Ok+C\nSUQw2ik4CCKuS3MUgW8PAaqCrOKaMwFxc0noFrmHACugmUP0wzX09UWGzhVU/7ZuE7XLe446UTMR\ndTBRvWp+gvRPDFw+CUJdimYSqmHxverPMXvjpXpDEuaI2MZ8xvQpe/AzDouSpgjwEGCCvz/OUEEL\nA7FJBoWGIvAtIKCsCpJKwKq4G1S1CPNVxbb1CPNFkwIEiNqFLykk6mCxRk9BZWWLaxPmS9m6n16P\n2RtNPp1MhRQ+ZQ9WSJxWoAh8IgKMi5cWzOFTmigCFAG5CFAbMLmwfL2FjJ8q/gH9ys2R+TWrMF5f\n5UjR2hQBigBFgCJAEfjmEaASMMEWYEL/RJy9Aa6WFvEhT8KfvMmGVuc+6KhfC28TLmCT33Y8MnbE\n/+YOA99ndfl7J2nnApzv4AFXy4rtjsqnxDiHPYRfzhtj8yeeInoa+BvGvnFAlLv0z9KUiCBeXMAC\nohTtNWkKmiZchrrDRLSTOB3IOBWNWToUf009jHllgmCXP4NXsecRevsljPsNRy8DSVcc5bf7J+5m\nkUDQKvoGSquSS4nz1wux6dDQIB6ySkr+3965wNV8/3/8dXJSEoVcojCUJWLI/TJzz88Mc5u5xGxu\nv8naVtv8Mff8Fpm5LbeK0TBym9v2y2WMxoRCUkq5FZLSqY7O//39nkvnnM6lhPnp/Xk8jvP9fq7v\nz/Obx3k/Pu/39/1GNn2EorC0hCXl7HNp2bpUpseHxGrnuSTUadsfvd0Lg/u+DBa8BhNgAkyACbw8\nAnwCpmKtkNKr1PWq4OLy4Xin7zrkVHeEQwWpGMqgf/vv0PELSpcyfwxiKb2QuSI4YXv7/IBjManm\nuhajXYZd07+EZ/fiO4EbmlRxcy+ar6iPg5SrsbDIcTJgEJr9IsHUgEAsCfDB0xW90HNKNpy1lC9l\nfzsMCw5Bco9PESVkBzBRUqOO4ZpWn0o17ZHoMw1H7jzL2ZuJhUrZJJGdwxv05uqwndc0M+nLrmlQ\nXQhvtdpmR6NPnz4YGZkMOzs78VOOYme926c7Qi9qB3nVH23+vqJTdWQEf4Mhh6+b78w9mAATYAJM\n4H+WAJ+AaR6dNeq4t0e/nu/g66R26N7hLdFJPjvmHC42HYh2rl2QlnyL4hCZc6yWY+/ccbhIKVzs\ndNKPaBYq0YU8ZhPGV16KB1rhFUo0gdhZht1f/hv+K6N1Qinkx+1An4VNKRbZcJXPUi0MmuKPZRRy\nwdC5HWW2xKxQZ7iuPo1Mn3ZGxbj1+wFkuHSGi8qHy8axFUYF9MMmoyP+mQaFdWOc2LoV+W2cNALo\ny65pUF2Us3dC+349KZffLLR/fzA8KemyWDw9ca9+BQQ8Kp2SWd7BAwMndMTsTGPBefUl4nsmwASY\nABP4XyTAJ2B6Ty0fFHyViphyg74z0u9RLrg0CuApQzkKuGlOY82KWoOf3lyDrZMdEZWWLc717P9k\nY+tHG7FisflciTKST0YRWzWfrCwKyqnchUVWLIJ/HYWPWijz3Knlefokk2xnlHBYvVlqkOeXx5DO\nDdRdinw79h6BLrP3I6VIi7IiJ+EgfOafhySH1icZ1FMLOZ6tKQdOQXoiribcLuKHlnc7EVFRUYhP\nVykw9DZkOkU+T6MTR8E8HBeXIAbyNLKsqlqOO3HROHM+BkK6QKEIMiiZKCvkNK94T7dyOqWr26ED\nGtsqlR1jsitn0vqXkloLichl+co58xOO40AcGXCbtYXt3bvUMRvXzkfhTMx1IXmTWIQgsMr9yCkf\nZwqu3zZ+UvYkV/+Eseh8qmnpq2ibsNZ9etP2Ib1FKslSsdM6kSwcy1dMgAkwASbwTxFgBcwE+YL0\ns6T8LKcsPbsROG8RjiSYO91IxaJPr2LmpG5wa9YBuRHReGBifu0miew+EkjJSKAI7erP5X2BmFx/\nLDrmp4h1yWrlRGugRJ6CFf2cUKN2DdSoofWhFFJdgqPFnk/iT+HYkBZFTrXK2ZBCpliDVlXbYZz/\nIuw8ehVSzzHwMRGfTGHdEH3dzuFyhr6SQD/28jvYtmwKnf5RiiJKZTRrXmihKdKqIiI3UHT7db/j\n0sE5qGk/EzdUStLVbTPgMGgjMvLTEdigDgKOpiLv9inM6O+BhrXt0GvSckRfPor3alfD5jhSGg2W\n+wgb0QgTKYBrQdKvqFdtPE5m5ONyxCIll1pzKEUzcHJGC/F+WugJ3D6xAXXr1kXt1dGmZTewnh3l\ngsx7QkFrSdm5FLkL59NllFPQA1/0VmBSZWdsTcpDQfxOSgYuyKHA0zRKx9KAAvX2/ASfjmyNtxrX\nw8oYY3spXNCC/gYNzSf0MNYmrPXNIA/Uq1EZlaaH4Er0XjSsYUdckwon5ismwASYABP4RwmYO9D5\nR4X7pxe3cGiFeUsD8P3YXCxZNMHs6Vfc+vkoFzgPriR4XC6dfVSx0iRmNreX3LQL2LT+IBQV1E7q\nMpwL+Rn9B49EWFgYnSjlwL7LR/jUq5HOVJEzpiJ5+mncX34GYw82xJr2pxGY7oVZPWrS6ZPq8ZKf\nuLt70Yj2lq7DcPGAFGs2bMQPKxdgO336rfoDWzQJrXWWUt1IYYfzOH7tIXp66hoqFdJaGLNsD7Zv\n9MXEebPgKeSIUxVLUn/+vPcBDi0bRMpOB4T4eeOW7FvUe3wInuO/x+5bj/A2mXd7nlqMyh23YnKG\nL1aHBOKn1lPhu3QWelGb+5yf0G5/LEa6FjV/3omYhSkHvsGDLQPFXf/5dTO023IBmZPmIZUi3tfp\nsgWXEmIQm9QbexKC0NVBkK0TLgQchQedzpmSXb0H/e9ty1dC0sICu+evxeBj31BzNkL7D4DFniv4\nv67CqxodERf6BVxHhuHuvtFY9VcQNnsexVePbuDjiN9RuZ65+Eim5huMHSbWEtm1iUd88GfiSyN3\nm9ijZvthaJdwSrV3/d3wPRNgAkyACbxMAqyAmaEte0K/zrG5osnM1M+lRcZpcrzfjIrelpgWnoPE\nDUfoSMgRKWT6cVMF5JRFrcD7f7XDXgNvM5Z37oaZi7pppMmKWoLaD1Yi8z/KnJOaBr2L5p9voh9U\nW8StOowOlGA46+w2lCdfJCHJgfrhJv/1X8RAV2l5SmawRHlNNOowGAvos3DVI+ydP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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/off_policy_control.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Potential problem: this method learns only from the tails of episodes, when all of the remaining actions in the episode are greedy. If nongreedy actions are commom => greatly slow learning." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.8 Disounting-aware Importance Sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.9 Per-decision Importance Sampling" ] }, { "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 }