Created
March 15, 2017 16:55
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Test case for MetPy's Natural Neighbor Interpolation
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from metpy.gridding.gridding_functions import interpolate\n", | |
| "from metpy.gridding import natural_neighbor\n", | |
| "\n", | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.colorbar.Colorbar at 0x116ec0748>" | |
| ] | |
| }, | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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FFwnnkHRubkbhrAJyguXcaBej/SInQE6jHyBbOTe9xxjIayK8Ch8mB+ZokksG\nKb7CGZaLURZBmxIDCs8SyRZn1Tx3ToG5hGZcmO13g0CjSQ66PZ3/TkZQpqzhu7y4zbMxpuOslrkh\nGsdRaqyMEfGs85dEZzEBZR7TkUoSnlimLn2zlRH6bL/6if8Er7cfltnwrN9y29YlrUXwx+IjPEb1\nEfb9PJZBDFJ5DaKsNVUobEZYZmQduVqf+KDZ855XxXYh+U5Zo37JNTfxUoNL7ZbdqSYfne7DgUl9\n2aOqLDl15KE/b+g7qsoxsLP2BeCl+mIthHUmbhN2M7BddbzbHHiv2mvgye15Yk5clJ6Dd6t0xqDO\nMWd2yfMybnkZtbs5wLP+Qhv3tit2x4bh5M/Sg/yUHlSCVAWU7hAwxwHTqpqk7eZATt9rJJgx0nun\nAmSpJq3Vi8UY3R4TtI2ByoOdIZmdKTXWBY4oDKexDu4ckhr3UCWZJ2XJIshzZ7dGJoxKElRlJoWo\n5jRmSHpvptk/RXGGUfklzYkMxY8ZCzjDApghwLAIOsVUenjcuaikMTeT81zPlJX7xZdq7wXLzJmC\nHhV1MJYocJCMMTr4rLZhAibo9IGKSCUnjBneSJZlZlk99Hau3wKwtDxvtxyPdUnVUUgB2KMGHO5F\nweu6mOCOYa2RZoCwylTrnneaE+9XOz5wt1yZjrWxZyb4oZhP12nFs3DB827Lq3a1UJVSTFVVlXIs\nXc9HVXm3rLHyUFekldd92hiC9t5gWENcZ/Iqslpp3ue79YEPqlueuj3vmsNkegP3qnTGoI428F1N\nqvKLXmH5RbvlZbtmd2roTp58tLjDeR6lL5Fv4PWg7HsNoA2LqDd8uZosClLcovTPqaLEO4WkdwrD\nseu41TEN2ZaEayfTRMts0amWBZJjkHipJPNCdL0elnIHllkjzGOKTsxIYoZlBAkJU/IgZdC5QNrp\nXTu8MwRwERnM1FhjukCMtfFL83x5gVma5XdXzpMNcabbhCkBf75AlGMilsF49iZjTcZbnepZl+5C\njQw0MhSA9m9EWcJjgOdbXyEbXrUr4tHRFEi5oizNcVBAhXAvCp5WnrBWKMVVyXdbRzarjvebPe+V\nqXkXJtFIyXkslS+7XNJu4pbngyqz21NDOniqo0zAHlWltKP/7jWqsuRVxrJPw0oYFmo3rhN+3XO1\nanlaH3m/2qufspjfm0VK090qnXbhp5xBecnzTmu9X7Qbrk8Np2Oltd7F/LanOwnnx9HvGjDtw6DM\nff/laUErTOp/AAAgAElEQVTGnqvJUUUuYIl32o3HaWdx7S5+Z56NVRUJIyyZR/+aJTC5N3Y2P+C7\nnNZkeuczM1xKdcwyn9HErEngMWNKyeHY7V0qgxmyRsQHo3ODnFFoWosMQZXzOLPH2LnRxjCoyoT7\nZnkpGFR/9xi51+eOOaITMM/UtCk/j/5cCNYyWM/eJryNVCbMsDQDjRnwEmgkkt5At6CcZapPf1vX\nbwFYWnanRk3HUzmxD8VH2PUwBlMY4eTJdaV+wZUpZm7JO1sHnqxanvoDT4t5uxEzJXUHtGHHdVLZ\n9zJseTlseNmuOR1rzKmoyqmaJaifsqTRPKgq65rcLFRl2acyGYO4ysg6sFn1PGlOvFere+CpLfu3\naJCxXImsYE+ZXaq4TusJ7s/7LS/L9MXbtuZ0rLV70NFonXep9fbHknB+TDMsTwPm+COCcjS7rVXf\npPcTIKXyBYxLWBZIVq4M/9IRDNPExHIDzkCZxhnpCzN8gsYClmf+y+WaACnnPsszUOaiLrUuWxtZ\nZEwUjC8Ai8zNL1wi+zvQLG4FGUqu6BC0H+YYjFqqzOXxXHY4AuiZlGWGKUhmy4Xg3E9rZreEEbIY\ngrV01nNrG7xJVFb/x7UZqM0wKcw3pQjvl1r+xpaI/A7gv1ls+u3Af5Bz/k8Wz/m96JDE/6ds+m9z\nzj//Td737YdlMrSnCns0U42ybQsc275UyBRfktNcxrSqGNaOsBLCCmKB5WbV80595F1/4F2rgZ16\nkVvZ5sAhGa6jguZ5uOB5t2HX1sSjw5emEv6oEfDRDZC7YoYvm2VMvspK4b3yxJXRfVprQAcgrRL1\naiiq8sC7/sD7bscTeyyBJznLp4TZ/G5z4piL+R0UlC/LcLHrVml8ONWE09iPUkqrtfIZTgWUpSoH\nmIM5vxFQ+qIivdOGEaO5XfkJltlbcm2nAV8TJL1ORsxWZ3GPsEwWndM9KssRlkYfT9BYKsvJl3dn\nVxem93mA51xVqu+SUputoJSg4IQy49xLmXUumGEBzd5gnEGsaCQfNH/UGug1L1SMwFC6scPDxzWd\nNzybgFmOuR2PPRQ4zmp7CoJZDficbObWRmqr3+uVHVjZAkvTvxFYaoDnzeAm5/x/Ab8LQEQs8EPg\nlx546v+Uc/5X38ib8lsBltkQT5bmJNoe7BiRcmLnvp8BNfatLL7BEUxxlWGlV9SLVcu79YH3/I4n\n5shaOPNVHlNkl7WFGcDzYcurbs3hVCGn2VepwC4Nbbviy4MHfZWTqlzbWemuZteArAPrpudJfeL9\nSlXlE3vgiWnPqnTOjgnxzPy+jhteRp3C+LyAcl9G1fYnr6A8zaC0Y1OMqTKnpAahF6ApiPNloBy7\nz5eE8jOz23v97L4cA2/JlX4VFZCGVAZ6jZCcFKWH5AoIWZjh7hyUmAU0Tb5nht/LrIEJkJo6VB6n\nB0zxOMPTBNEki6iQBEqjXnTeuVPFafrSl9ImshWMmUs2jdG0JxEdepbFIFLM9GHx3fkyYIro38jY\nUESmmm47meDm7KKi7gxLtJmDralcUZYusLIDa9OzNt3Ucf2brB9jgOf3A/8o5/z//jhefLneelim\nJMjJYtvZtyZdqR65k1vJaIKvHMOo4FYZ36gSvarbhars7wV2jhmu45qXofR27NfctBpBdqeFCXtK\nWh9dcg6nOT938yrrWvencbOqLKBMBeBNUZVLxfvEHNlIoCm1u0tVeR79Pje/Xw4bbjqdwtietNlI\nPjkdU3ssrdZOpTKnLbXepTKH6ZiqUv4qUE7BiyUofaVmd1GTeKemdq1+SYBUGWJlSNUClL6oSU+B\npqpJ4Nz8tpBtnqEpFGguYDlC8gF1KUtFOfbUyPokDfIoFEmj+V2y0RKqLMOoLCGFrCB1OqXBOPVp\nWotG7Z2Z5g5hRZVmgaWI+hbP1aKZL7bL4E9amOTj5wBEZlhipeSfuikQNgXFHGRnGbxj5/QCWtlI\nYwdWpmdtO+Kdi/FvdL0J6D6w/hjwV17zu39RRP534BPg38s5/8Nv8ka/JWB51wQfAyppCLMJXtr5\np1VFWFlCI8QG0jqxWenzn9Qn3vEHntgDFybeC+wcsuM6rXk+FFh2Gw5tBe2ozLTZrTuV3o13m/oC\nUx3zGAFvHHHtCE1Ruk3xUxZYrpuOq2rhR7VHBblwlk859qfUssbEIRl2qeE6bngVNpP5fdM1HNuK\neJpH1Wqz3rHNGrPPtSSbjyWMoH5XStT7S0E5juoorg8qr4pyNLtrR66cKsnaEsvwLlWVZa62n5Vk\nWjxWs1vfLjsFZHILRWlzMcMLJEdgwrmavNNQQoMqsviBYoKPqrLcRyGNvstifstcY1BUpZACGJdJ\nThSYFrI1GJcxVrBmjNCr0jSlXHPqklQUogJzON/Ph4AZZrNbRoUJmAJfV8zvZM0ETFXmhuAcndMP\nvXORlVuxcT1b1xHeQGDmR6zgeU9E/tfFz7+Yc/7Fu08SkQr414A/88Br/ArwT+Wc9yLyh4H/Dvip\nH3G3z9ZbD0uylLkvGdsmpBvmgMqdKDiNRpxjY4grIawy0kQuGvUpPq2OPLUHLkxLI3IW2DnkxC41\nvAxbrktez23X0J6qMht77uloTmFqIKH7sGj9JUZVpffk2pMaT1hpBDys1FeZmkTd6Mlx2XSTqnxi\njxqhlzCp3lFVjsOguhw4pMwuq6p8GbY8H7a87Nfcdg37tmZoHVLmeo/DxcZxEP5UOggdA+Y096HM\nxRykRPSn9KDXgHIei7EAZaWfOVeOVBdQVpZYG1JdoO8VlCMcJ2CWWx59lOXEHsE5KkpsVjAawGS9\nSXnMmEGTea0brijJ6WNl0X9fEnKSGZ6L5rspjCZ5+ZOhgDKOKhKyy5jiMlBQ5rmqyKDqr0DOlLxI\nMYsWFiLQ92e7eZ5elGYLpjfn6t4IpvgorRXcwnXhyv4lb4ilKuroKm58w8oNbGz/xqLY6eu/zvOc\n8+/+Gs/7Q8Cv5Jw/v/uLnPPt4vHfFJH/QkTeyzk//7o7cXe9/bB8XI/rcf0TvzL8OGrD/zivMcFF\n5CPg85xzFpGfRi9NL77Jm739sEzM0wNPEWmLmQjn0xuL+ZdqO6m4uMq4ZuCq1vk1T/1ByxtloC7N\nT2H0V8qk1F72qix3bU1qLb4dTfA8Nb5VhTuc9zmEOSJcV+TaExtLaIya3w3EJiMrDeoAD5rgGyN4\n7L3ab2CKgKsJvuZl2HA9rLnuVty2NW3rJz8loEGdURW3WacvtrGMghhK+lU/H9N+2T3o9apyHAJH\npdMpc12UZeVIjSP5UVEaYm2I1VJZFiVZLVRl8Vlml0sEfFaW2WU1uU0Gq4pNbEJM1rzsUtqn+5kX\nDYju5w/mUVUWczyXjuM5QS7qMieBqPcSBYL6MnMYcz9z8VsKxoJxxWdZ/KpmSm8q/4NiHltRc5zS\nNGn0V4rMkXFgUpj5oTzMGNVFIpoeRPl7jMFYix0rnqyZ/L9j4GwczTt4x6FSdbl2a8Ib8FlmhOEN\nljuKyBr4l4F/e7Ht3wHIOf8F4N8A/l0RCcAJ+GM5f7OE0d8CsCwne1v8lV1PGs2VuylDjT/3VzaJ\nTTNwWRVYugMXJXdx6a9sc+SYXPH/KXgATp1Hir9ynGJoWwX2mak6rjH5uPLkymsSetmfMTKfmkTV\nBLa1foZ36iPv+GMB5Ym1ROpFnTrMOZUAx4wGduKG67jmVVjzql+x62tOXUU8OUxr5lG1i5ne6m+N\nxe9bfL9lDMTk2hi+2vweTW/gDJSp9hrMqS2x+CljU/yTBZbJo2Z4AWb0kD0kXyDp1T/JCEtbAOkS\nYjNiMsZkxCRMeWxMnsAoonmJZvHzuJZjGKZgeDKlU5ohFVCmZBSe0SggnZCjTLCUoI8lZA2iDMsA\nlJrgY6AF1GdpxzZyU27k7Lcc41F53lH1YWZ7Lw9z+r6ZuTlJNoJYg3FWAz3OFDN8DJaNQbRS+eUt\nra+4dYGVW72ZaHjmjSal55yPwLt3tv2FxeM/B/y5N/aG/CbAUkT+MbBDp9OHnPPvFpGnaFLpPw38\nY+DfzDm/EvVI/6fAH0YbPP9bOedf+dLXz5rqYts8DcRiWWonAn48WZ36KxshNhmayKbueVppS50r\ne3zQX9nmzG2uuY5rroc1u76k3bR+8lfqLamq7FVV3psBbgQpSis1ntTYsi8Qa4i17lNTD1wWtXvl\nT7zjDpOqbIR7qnLMqQQ4ZMdtUZWvwoabYcVNr6lCfeugG2d7l7SSdlbmo6rUCYxjh/Ox8UdpjHG3\n1nsc3XAHlKOyXIIyNa6A0uj/oZpBGfWQluAOCz9lVli6TPKAy2SXJliKzYgrYLQJa/WxNQlrUumw\nMytLW2rol8Ac19gVJy8ex2S0+iTpALCUhZR0TneKJWE+CjmYCZY5CnkQhWbxseZhkedoZVKXwNTk\nIptMljGpXM6MVnW1LsDOzNV7wExZSyjH9K2ShiTlZp2Wi7oCyOTBlgsUQGotoUqcqop9VU9TIr/Z\nemj+z9u1frOU5e+741j9OeBv55x/QUR+rvz876MO258qt98D/Ply//qVwHaoouvDHFQpS8pJnEdY\n1iOcMq6OXFYdT0r/sSdWU3IeMsF3qeEmrLkZmilHMbe2vPc4HzsibTjvCg7zl7ZUreRaAx2xtoRa\nVOmuMmml+7RtOp5UJwDecbOqXKYLzR8/M+Q0zVs5Js91WnMT17wa1tz0Dbuupu08qR1VpWA1pjWp\nygmUxYUwBXWmErzxAnRnRt9UmWPP8yjHipy7oGys/g9qQ6wg1HqSxhLgSZWqSVWWuZiHWW82g08K\nxwJLYyPWZqxVODobp3pnAVyB5ghGg6rMJSiN5HnG9sL8Bs3jTWVS4jgxMSZDiIaQyqzuaIjOkEIp\nXwwKoxw0qDIpy7GyaATl5A/IU8MPZG6Aoftb1qIGXHRHS/Q+309cvxcdN1Bq0sVZTKuJ8dYbrM9Y\nL9hqkejvIVSWvvLsq+qNKMLMm1WW38b6tszwPwL83vL4LwF/B4XlHwH+cvEt/F0ReSIiH+ecP33d\nC0lmYf6WROllwwEp3WsqTxxN8BrSKrNuBq7qE1dOwTSauV9mgt/2DW1XTMxuBE/GdQnTxUlVMsyV\nQ9NEQa9R4VwpKGMjk0sg1pDrSN0MXFQdT7zu05UbQTk8mC6keZWJQ0k8vE0Nu7jiJq64Lqry2HuG\nzk37awrgoaQMdSMo9YIzJtNT1PHko4QHze+5MkcrksZke+A+KBshVoZQS1HTBZajqqkgVjMkU6Wg\nxCXEZYxPGBtxrpSoltpmV+6tzI0hpp6N5GmUgjNjz8YZnuMalY9OQ5wfh2ynOdwxG4ZoCUlhOURD\niFbhWaLPIzjzYOZa9YFSOaNgPK8qkjIXZ2wldw4VdbvO7Sxk7HEJ2jNTd5TStqi86Nxfk2HQDvLD\ngPRaamk7S/ZG1aXPpFbTswBSB6k1xMpyqqo31ofysfnvV68M/A+izqH/suRLfTgCMOf8qYh8UJ77\nXeD7i7/9Qdn2WliSysneRfWvhXBmJkoprYuNUx9ZrUGUXCVW1cCF67iyqiwvTcvGyNTwdGmC72LD\nbWjY9TVDp4fNtAbbzX6/yQQfSouyRWkjMFftVAqPUJsZFk3G1JF13XNZtVwWgD+xRy5Ny9rcT0If\nfZXHrIoSYJdWk6q87Vcc+kqDOq0tYFcfr+2KWdppypXtkprf7TyuNpcBY68rYxxrvcfPNSWcl/Qg\nYPZRFlCOnznWTOZ3rFXNAKQ6z+Z3VUzuKmFcwpab92GCXuUizozNIOIESmd0u5OkA7kWcNSxCuMc\nGt0eJziWYzv+jDCkAsusgOytU1AmyxAtQ4qEaOmtvuYIzmgtyWaFptUKmrkT0uyfnLoCSZ7V5hIs\npQ2bmX7UXpY6amKeOHmWTrT0X4qBIag57pxO23QG44u6rGRSlwCpLT7jztB37kdJ+Xntyshj89+v\nsf6lnPMnBYi/LCL/55c896GjeS+CJSI/C/wsgN++g+0S0o9zXs79aWMtcqqcqppaiFXGNIFt3fGk\nBE8A1mbAIwvllukyHFPNTVxzM6w4dhW5KzmK3XhTWMsI7OHcBJ8a247ugMapGTq6BJpMrhNVHdhU\nvQJ8Ursta9PRSD6btLdUlW223JaZOtdxzU1csQsNu6Hm2HtC77QmuVfz25T9BnBdAWUXMH1AhmJ2\nL83ve6b37KekmNyyrPMuyebA7KOsVVHOgByBWdRkrf9mjYLrxQyfEJ8wPuGcqsnKBSoXp6YP3ka8\n0Z8roxCtTMAXYNpx1szos2Rhkr/GZ5nynEA9ztwesiEkW+4DIRv66OitnaDpykWxD5bBJgaTicYQ\nrSENliyQJnN76bMcwXlWs4Nm04NMtZ1la4GjZO2eLuPgtJzUfXCn8UaOUU1yYxSURv93xlvspC6F\nWL4TqRJiJ5jOkDpLSm+m3HF4Q7Xh39b6se99zvmTcv+FiPwS8NPA56N5LSIfA1+Up/8A+InFn38P\nLVW6+5q/CPwiwOa9n8i2TZO/kgUs76YMhXqMgmdcFdn4nkunMAKKv1IbZyyrdm5Tw01YqQnee6Qv\nKR+dmuC2z+cm+BIwol12AO14VHlNm2nMpKpiBdSRugrFBD9Oanf2Vco9VTkQabMGdY5ZXQe7sq83\nfXNfVRZfpboNCjA63XfTx1KZU1TlaH6Pkw2Xa+mntEWteK31zt5NSecAsbZawlifm94TKEtgK5WO\nPakuZrdPmCpiXcL5iHeR2gcqG6ldwJtSDmoDlQ2qKk08A6UvkPQS55EJ5LPHy5WmC5E5f5w17WW8\nD9nSRcdgB/rk6KOltw4f9TN3xtHHRG8SvXUMxhINRMlan22MBnXmEA2ceSQzU0/NMoRs7KtZvv9Q\nhqRN88qXI3vvNhAeTfIYddyHNcjgkM5hfFSFWRtsN/uNbQupFlJnXjuE80db8tjP8suWiGwAk3Pe\nlcd/APh54G8APwP8Qrn/6+VP/gbwp0Xkr6KBnZsv81cCkMH0pbnqEM79lWU0QfZuyuXTEzRR1wOX\nvuXCtlwadeDVYySSEUaZY/Ls4orbsOI4VAy9w7SljKwflWXC9FFbbYVwzwSXRa/GVC32pZjgqU7Y\nYoJvXcfWdVwUp+LGdFO60HIeSiLR5USbDcdUcxtVWd6ENbuh4TDUnO6qyl5Vpesyti9m6LjvRVXm\nQYE5lTI+0OVcSirK5Kcs1UhaoTNX5QDqn2z0uL8WlJXeAFWUVcJWCesi3kcqF6h9oLaR2gZqF2is\n5n1WJlKbQG1DAWUZkTDCssBxMruL/9LeN1h0fye/pZl+VmVpGbJVn2W2VMYRkqVLkc5Y+qTmP4A3\nkS46rHEaiTeqMhFLKhHvPKpzPajcA2YuP48VQ9ksFGbGJMc4XoI0zgUaR+5yx39ZIuTjpMmg7iJx\nFuks1ltSl3DVApb1rC55Q8ryTZjz3+b6cSvLD4FfKjWqDvivc87/vYj8PeCvicifBH4d+KPl+X8T\nTRv6NTR16E981RtIRn2FQyDdObk1+KCqMhV/ZaoyVIl1NXDhW7Z2VpbVImUokWhz5pArdqnhNtQc\n+orYWXxf0m46sH1euAHCvSj4pLxAVVdtSaPKKuZnrjLeR9Ze9+nKnthMand4MF1oyJE+Z47Za1An\nae7nPtbsQs1+qOh6R+5NUcCzqlRoFmXZF1VZLjaU/Vfg3zG/4QHzW9X7eCHQjAM93lDgeCdF6B4o\n60z2JaWnVkXpXKSqArVTJVm7wMoNNHagMpFVgeUIyXoJSon48rMto16XJvc4K/uhFSdIzmZ4xBRl\nOUOzMWp+d8nRJU+XVNUCtNFP/tJTGQ7WiUbhg1iCQMaSRruasW/cDEhVlpmYREfcJoilEzvRlg7t\nmVxG8eaUdTDaQ+Y4zOqyBHsIes6YPpAHi+lUXep3QiYhEDt5wBH2G1uPyvJLVs75/wb+uQe2v0Bb\nK93dnoE/9aO8h6SMDOlsSNbkJC/TAFXNScnhy5gqsvIDW9txaU40ZfbI3ZShNguHVLOPDfuhph0c\nFJUGRVn2GdPr+IB818c35R8q5LJfVK4UpZWqDHWkqYbJLbC1LRfmVPYp4kUeTBfqMrTZcSz7CHAb\ndF9PvWfo5/01/bi/YHv1U+pnWKjKcAf4r2m5dmZ+V6P5rdFVrfc2C2U5QzLVJSVojHiPoKwSUpX9\nqYqa9KommwLJ2gXWrmdlByoTZliaULp6KyTr8tiSJvPbMAd41Gc5q8zluqsqdZumDA3ZTdCcbuLw\nJlKnQJccp5Ko6EVB6SRiTeIUvCbDS6Yr+xFgqrAZnQIjMKWY4DEJ07C0JEjJdxybEBMzpkyWlBjJ\nyc0VY/ei4yXgU4I9uNE/HZDOYWtVl6Cq0nYQG7VG7jX+/A2sXHy/b/N6uz2uj+txPa63YmmA53G6\n47e7MmpKhMVAp7Em1o0BBzPXHNf3gzubcQQoqgzUzNUo8zFp2tBhqOl7h/SLhO4+Y7uMGeKZCXvm\nrywNboESJTaLzjqqLG2VaKpB/ZW2Y2M6NqLlhY2ksyg4cBYFP6Sa27RiV5TlIdQch4pucKRezavR\nX2n7Eozq89RL8Z4JHsp8l7NOSXMHG7FmHlNbgjr4Rbu1ykymN8yli6O/WKPfs58ye1WVpiqTBauA\nd5FVNdC4QOMG1q6nsWHq4L2y/dm8mHqhLL1EKgkPqstx2a/hsxzN8YTmVkYGVZdFZU7KMrtJYbpU\ncjnFl9QlX9KU5ls5nICqSyiqi6R+SaTM/2Y2x6eu7EWZJZBkkZDI0UJ005xy8eX7Fx+YCpnzbI6X\nCZMyBGSISJ+mGUL6PSnqsn5TZvjjDJ5vfUnmHFTMeY3j2ILozXTS5ipTVYGt71gXMPnRan8guHOb\nNA3nFDxhsGrSlm5lttdZK9KV4M5yFjToHBXnpt6O2dspfSYVcOcq46sw+SsvigneyDhpT/2Vy4mN\nA5GBOQp+TBW3QWG5H2qOg6fv/D0T3PRgB3UbmHFs6xDPTfAHe1SaORgxljWWWd7YcV6OncZAjO3V\ngAmUY613qvIEzOzVfzya3oAGcnxg5QdWC1BuXMfKDtQmsDY9jRnNcAWlTiMMVAWYVhJeggZ07vgo\nR1CaB/yWU2BHFtFwMUSEmIcCykjE0CaPz2GC5jhKdoZ0nudzn8HynD4B9WHmnPV6P/ks1eROEWKU\nqSGxJCFFg4TZd0mIGhmPEaIORpvEw8Icv2eKh1h8lxbTl5S43pSLKphB7rb9/A0tDfA8+iy/3ZWz\nBncWfSPHvEZx2oE7VWbylWWvuXob23NhWjbS04xNUkenfgnutNlzTBX7UHEaPKm3+EHhA+f+SkLU\ndJtJ3cpcaukXIxOKohzrn/GaZL1y6kPVnMqBupx4r/NXtllos598qoegqUOn4GkHRwwGGRTsdihq\nYVBVaYekOaFQLjRxvtg8pCrNnCsqRVWOWQbZq6LMZRTElEu56CK0BOWcR5mnqPfoowTugXLterau\nZ2XUX9lMw7TK881AI/0ESS9BQUmcFKRGv8/9lA+BUj+gAnMKRoj6LVM29FgqifTZkjB4CbTJM+SI\nybNaNWS8iZiYNQmefC+nc+puVFYYM39Sya1czPtRUOYpdpmikIIgldWxvCFBcEiMSCyzyRewPOtO\nBOfqchg0jWhws7UxWB24NhSf5WsO1Y+6Hit4vu2VmQbZT18Is0wCdxrYKWVdUiVWXpWKgingGWGp\n90OODBkOueIYa46hogt2VmpFWZohn6UMPRTcYQnLMqUwVpSWYxpsavwcvFgbVbvNmIbygAk+5DwF\ndg6p5hgrDqVe8DBUDEOJgvcyK8sCTDMkZAQ8qJN/3PfXDh0zkzqeAlZ3xtVGf2dmzkJZprHWe1KU\nacqjdD5Q+cCq0oM6gnLrOxo7nIFyVJRr003K8q6qNCS9l0RFvJcmZB8A192VFnSIJT9whGPE4LNl\nyE4Vq8kMOWJzmpSll4hN1b1qodetXMor49TVaDS9szYYTgWYY5JFMcl1uqQhBwtBgzsSk17M4qLc\nUcysLsc0opKrOQaHZIg6fRJNxbMFlLHnDSnLxwqeb3/lrCd7GiEl84ntdPjVUt0Yn/SEtAMb05do\nc0kyH01d8uQP3BdY9r1TpVZMWShT/MJ8lZ6Sg2ERMbZTn8DkFjNlikvAuUTjAhvXc2FbNqZXgJfv\nlV/0Eow5kUgMQJvtrHzLPgJ0wTEMFgZTJgsy34LmV5ohapoJqCIOYUpCf8hXKdacuzacI0+gHEfV\nFkVZugUtW66N5YvJjQnnGfEl2dzHKeoNLExvBeXGdqxtz9r01KYAsyhJYJpv7YlFXYaSLhQnMC5h\nOSai2y8hwDLFJU2wTBM4RzNboalK0+SEz7MZDl+iXjmvPx97ZpKFWBRnSqZEwJl8lpOyLEPS0qBd\ng8Qb7DBenEte76gu9c3u9L5cJKmH0bKI0wVU08mMWiIDbyx16Mc0sOw3bb31sJQMOZS8QNDqkjGv\n0ZWTeZwK6DPORVZu4MK2NKankoRZHIY5uONpk8LoFDwhWIVlYFaWfVafX4iv9VeO+wAsJhaW2meX\n8FWY2vercuppJFJNk/nkvGonJ4bMPRO8C6V6JFjSoCa4DGUezDCb4DIkNdvGEQQhqMIYnf/3DrC2\n92IZ4Clzr+f53vOAsbQYAwELUPpZVS5BWbkwBXKAM9N7CcoRlo2oumykJKUXQHqJVMR7kNSk9LvA\nnJeV8f8+b/OSJ20ZEXy5TxMs8wTNpU+0HV0w5Q3MQ8eTGZRLWMbS+i0nNbOzV7NbPEgQxCskAWIo\nzYUrIQWDCUYvyKO6HF0l4zkx+invqsuoF80cxjSiAsuQihBQU/xNwDJnGN5Iq7dvb731sNTL8Gz+\nipF5HrMr86fLdMDsNfm7ser32kh/VrUDI5BmM/cUPX1UANlJqRVlOYKnwPquv5Jyy6WpqpqolI7f\ngM9UBd4a4dV98pIWroHzqp2hqN42FZjHilP0nILSaRgcedrXpbLMkxIeAQ+QU5rM73uljWIU+tYu\njhGICAMAACAASURBVOlCVdqiKscxteMExqUZftaXUlWlKbCsXKDxY7J5CWiNUW/T3wPlpvhzG9Pj\nKdHzM1hq3bcveZUKshmIejzntUxk8QLLWqURc55MzKpEI4LJ2iFoyGZ+D0nYnKYXt1l9pPYBWKZS\nSrmEZUylxVsy2ondJ3LUC4+MwIzzBUgCxDJuN3nRi+MddUmwc08Ca+fo+FJdJs29lDEoVL4TEhJm\nSJhB1eWbM8MfYfntrjFNYgTVYrJg9qMZzjR+oCom79r0xc8lDwBJlVubPYegyeh5MNMs6HEwlQm5\nBHce9lfKXWU5Doca/ZWl5rlxA2vbl8h8wJOnoM7dxhl91hNVTXCNhLfR0RZlGQYLi+COGdVlyGdw\nH0+Mrw7sLDoLwf/H3ruF2rpt6UFfa73/lzHmWmuvvc8+ZWIsTcDyQV8UixLxxQcDQYQgRFIEomCw\nVCxUiA8aIQRDQEUjQgWLo8mDohSiIoUUFAYFFdTUMURMpRCKGLRiac45+zbnHGP8f780H1rrl3+M\nMddlr7nPWmu7OgzGnGOOOcZ/6f3rX/varbHK4gX3jVGmTq/M9vbsrfOiF8BroV7nLUPHJ8yWnbP3\n6jVr4UHhQaBUjdLAEsWxk838zhuQZGxBsd8Y9fqW+759X+o2DSb9O4s00IQggBuz7EOTIPrBGTi3\nPLMzhtqDpS+1Mq2ocM5IqbBMNo2SqhlOkZCjIJUukkNjlxRaxfqWpBEtokE27PI8jKhYRhohkW2D\nxYcMHhvfArDERmsrjeoBIDvXAMqKM4xeU+VmUo8qAxsHShKpZu4hTTglj5AUgJSpKUMDlFkWVlk1\nUyi7LX1PxHMt119ARaxWo/cZo0vNeWHHNFBjlH1P8IRybN7A3GPNHqc0IETTRZNW6GbrLtjMKTPB\nQ2p6FdB+PveYlnChogGXDciAEr5plX0v77IZ1L7eXfFe1BJrCVMBSqd53iUjZ3fGJh8CymqGI2Mg\nrVmpksoWJF2NdGjDXVm0G6CEtJ7b9rckcgGazgBz2yCnywwywEyk4UeZG6tMjhCtn28UhyhWVDhH\n5GzzJJH2F/JkvYfsXMqG2/fQcQzy+oB3oMDa7AcWweDStiIXUC0JypY2WTfQDEpS585jQNyH0KF3\nYojlw3ae8MqC2BYvIRurKaW8lMVlDF2KIwAEJKzCCOKxiAFR8KobxcbSAKjnMWsgXF88o3nCnYGl\nOTtcmeQC8QLnm7NpYjMvKWMkumBAGYIsggDCCmcmuMoESwF0ADk4BXU7XrLjVc+qhplQTGp+Ayb+\ny7YACdCKZTjrsFUiDJgrUIoj7d/Sm+Ee1t9F6jmLF8Cp+e281pwcO6DcgqWy7KJLzrRugLKA5YgS\nLZA7VrkFyXJXe3Dks+va/y3V0J9OlhGBg6kRuARNGFAztrpo+8JtyEwSRmBNl4x2zqVOZnAOwalJ\nXqqvyyDIUUCewJWtawO0wtrLJsyr9tchY//FDBfnak+el5riABCTOgGj17n+SEHpj2mGX2tXc/Z3\nwmu2qHnZeP/BUtCFSGz1tey3rIe9qMnHq5puyHCbiZwNkLjqgSE5jVmMph/FpllW4Dmv+Wi6qZRH\nAcvuWODU2VTKilUgQLaamtuJVfTKIHpsJxk1HzkNWKJHtJYGiHQG7M3Jw9HAvQsrecgE1/MwOaE4\ndYC6AbTugK0HdWPxyigBY5Vevd/OZXifMVg9ysElzC5iYs3pBlpGjm4eoXq7C0gWoByoA0tIZZPj\nGUgWcDxnk+fXV1/bhg3ptWjz7Bpowljmll2q+Vu85zNxBc0gzhxFjGjpf8FqY04+ImSrvO4yss/a\nmsLYZSljR5EMMO2aO2uANjBkZQizlmGr4V7crIM+Z7w3xVNWUxwAcq66JUX3iN7wR2eW5+1q+vH6\nLWpeMt5/sPwwPowP450f6g3/seaGv3aLmpeNbwFYqhkJQMOGiCClyo+jynbECbjUQ+R4NWwIKLqg\nOlCW7LEkj5R4w9QoNWaJZKbMCzzh1Qwvmp4D4LMxq7CpnDNSBp8FoifJSCKmpzICnJUFs8KzySGZ\nZolE4ITGgotmmTJQnDuFXQKNXZzrlfUc9OfS41pbI5DpaE0zK10Ms9NrXdZFaVVLLoOtT05pATG7\ngMnFTa73RBEzNabdm94zhcoqK7M0Vjmgmd7XGOU5kzyXOdp02r6vsE1HpGa66JwDmTlLQBBgpNwY\nGAGp962zVhAayWHigGQ9tKNJG4EdZh8QRU3x6BNi1whNvJiMZOfSMfnspDnZVgJ7lUmqVxwAVq5t\ndc9JYtUtU5NmikxDSUOI3kJQ+qdE9P3u9+9Zwe/tR162q+nH67eoecl4/8FSleP2u2v6mni2xauT\na3CiJi8HDEgYHggbChaas2SPkBmSTANM0BQ20yxVr8xb4dycIsSdGW7CfO3w5wXsM7xTDbUCZTmm\nK+ZK8dKvYJzyiCAKmKc0ICZtxwqo15R6504CKIo+SoZHLxvkfKFXAuYoKwVqmbusKHNalY3IkWmx\nZPpk0S0t1c6rY4edbEzwyWt181KL8rwwRts87IG0AcqhBpdfB8pzkLwGjtekjqsgWgE0A6SaZu7M\n8A1gAiqjg2qqZBLGTEFzzM3ZEygimANm4oiFHUZ2GJyHdwnedaZ43xESzZG23aCoyiPiWaUTLimq\n/HLd0hw9ZU5Q1ILCFB8p1xGvZYb/8FyDvDIu2tWIyH/X/f3al70R7L//YImmtxFT1QsBm0C2mOFV\nIxxdqotQPeHbsKEEYIWms63ZY40eErX4qrLKc2aZLgO6TesTVr2ysKyqWToBOzGGFY1NBavsrcfU\nO50yBMni/UotxQbm2v9FrCKNaqvm3LFj1R4tVnAhZ+vWqMcr58duIUMKkJYT3mmWek3ZFmYDSOmf\ni1MHMFZpPb27xmKjVTcvQNkXxtCqQdEcXrHGUWqLiKZRAg8D5TlIXtMoz8e192wAVEo8EDa1envA\n1O/UWE8FzaSecDBCjQl1WpzYQgZUo/VYXcKQEobS0tc5JCdITqxfuh2TA5hNKzagzE7supMyf9Mt\nAfOGszJLLYhyVv2+6JYlNqmkQcZsFZDenFo+tjf8gXY1PVi+Uoua1xnvP1gKNmZ477mti9lMw9LM\nauKSS3yNwTVAWpJH1OYpBjzKLKlWrLb+J9fChogAZxO3Z5YOgAOYMwbOmDi1lL0HPOEAqic8iMcq\nDot4LAaUKSn7BdBM8GTssoYPdc4d6UKdrrDKi5AhNqcBUJmytng9u8YMW7TSYnFsY/A+wTsFgg1g\ndhXOAXRl1pKx/xZHOVjGTGGTQAPKmrJqQPkikOSXMJy8yfYp2VMGmmcs8xww9SKpl1yzf1J19Azk\nMLPew5kighUDCew6dplMqtBukcwZ2TMkSptHNeIA4AqUBSSVYarHq4tgKOuC6SKbR08nt7lQ5nRS\n+eYxzHAAj+YNf0G7mn68foual4z3Hyz7YcyyTKpczBcHgAXeKTiVBfhQjGUQj1MesGbtD41M4ETG\n0ixkCLAJlTY54U3v46pXNv0O5rkUOGOWpVfMWNL0rpyWMl7RwGUDzJAdVpMJkgE6YGZ46kGzMMsC\nlNKegS2rLMdfmGXRuRzXNJgKlrY4LwCz25wAKKvkDGbB4HJl09pQTHOsi8kNoLLKUhijmN/O0hb1\nnm3jJ4vJ/SKgfBlAbqbR2XszBAxu2qWIfXYDzFwAE/pzFmWXGYSBtKTbSAkZjJkDgii7BIBBfL0e\no4sYkte2FJwRXAa5rFZKkTa4meXSb1QWncDGLGsGj62LuokzbW57r1sCqAU5yADzMYZYK+FHGg+1\nq/ln9LvkF/E1WtS8bHwLwHJrRlLHgsBlQqmTwXHWUB0rtnCuDZZiCasxy5i1DWgBoFoJpt+Ba0e9\nblQzlrfMkhtwO5e7boQRjBIveBk2lERzlQO4FZ4VBfJkKXKlqVQpvKAFYsUcPc0Er3qlMctr3Rs3\neqXjDbMsm1G/SM8XrTgBuMS9qgleFr8jfS7hQmWzKKFDPatkazTWm9+Dhe6chwc9BJQPgWQvc2yv\n9aVGx6AKmOUinwOmxlxSvV8K6AqYSUrxjYhVXCvE0bHpiSNWF3Es/XtYNW3nMiID6Nh6YfAKisYy\nHUFYIKwWDRxtQsCIqOqWdpMvNsxqoYlUoKT8WHGWj2eGv6BdzS92Pwtes0XNy8b7D5a9E7dkzVRw\n6oRxFmsi1cw67opUlNFXwo5irK2AT8fWANRGUZth2pAwaesS7oR5B33N2JbnvDE7Nc/4oUUsyFKA\n3FcwT1lzismYJQwsOZlzJzdmSbmBu1zToYpeaedBrpjjHbPkztw7B0kW2wxQwZKdgLmdb2nkNXDa\nnH9JFyys0lmJtcoqzfwuAefVgfOaQPkQSD709wKe5bMqaBpg1v+rNrkeY2GXyVIwExq7bNrlVnrw\nlODLBuo8nDFy5ozEDLFrqpvRtQ2LbL51uiXQYi5fpFsW6wOoOjyVOfMI47E1y7cx3n+w7EdnOgJl\nIumOSwaWZWFey7ZIkFpZpjC3bKytlsrqmVgNuymi/9aDLI4rqAAFtHEB3KVVa1mm52FDxfFU6ioW\noFyzQ0ysX18OoYB6bg8FSH0WOQPKa5VxmJtueXFNqS1O7n9um5KwVOpHZCzaHDzeenq3TUsZ5GD6\nXQHG8jpTKaDbzG8GNqFBLwPKlwHki0bpIV8vjbFM2LFUp0/DSmTaskvNAtJ+jmwM09GwrX9JuW7i\nhYE71vMnm78Va/gMJLmwyg4ouw2u3r9yP4Gtbgls50FteGYWyTvGLN/W+HaAZdULlQUJ9yxIJxSx\nmuEFMDU9TSdOWQzKBNTUzaI9QyTzBngoo+k410xwoO3gPbNFM1H1WBQw1cRUbc49EDYEKNb1EkEQ\ntmOkB83wkvdLufWXrsf7EGOoIElNRiDasvWeWZbNYAOYer314/Qce6AcDAQbQKRaX7JIEm7DKBur\nBB6+Ro8NlP1nnJvnvYZZALOAqOqoW3ZZzmWkhABndTfVTcV2HZjENpICmFLZJZVNCMbgiTbXfCuH\nUJuDQAeWnYbZE8t+8wcqUMLSeR8D4j4U/32XRj8xCliWeVzIHkntGf1Q8dcCQIVZSmkYJfqoje31\nzZd51UUfMjNcqDFLkB4TsbZFLUDZt2e9NkrYUBZtb5CE1QQXPT7JBK7MsvVuUdCUZmKVtMb88Hdt\nrmfv1a/X186jA0Z0P+v1bpols54nAXWz8rxllUXPA6Dmt0kStR7llVqUfRxlHz3w2EDZf1ZvkvdO\nn/rdNcTokl2yVSdiZDgp7NkcPLT1+pd+PY61EjtzVpyrOnAne/SbVZlv1H4Gijy1dfKcz37JplPW\nF4pk82iX8JtId/yxjvcfLGULVECbJAUohc0crGZdKeN1pk9ZUdcMZW2lTwplag4TweVO3I8eZApQ\nljVkGiYIlWkVExwouHMZY6nPJdfYKteANjJBnf1FX5Xto7KF+riyCnpP+MW5tHMo2mv/QH2WLbMk\nVL2ymNS1iVdljk0WKfUhubLPrQneZ+f04zJD5/GAsv/Mc8AEmjneZ+307DJIkxeKKd5v2GWzLC0o\nBpMp2HqN6y1o0oaw3lQp9+XMHO83OT2YjmUakaAzj/hmlA21EIPHiLMUaGTJezzef7A8Hx2zrIuc\nGpNztO30148KSMbgonmaubJKc+70YNnvxv0CNTOpgghQd//Cttgq1rSFdH1k+z7NBtHjSxXMFShr\n57/+WItzp5/w5+b3lYVQdVc7D6HtYqtsuTf/DDDB5Xrb2znbWu26HKIxfKYGHnqJ9Nl1jLI3wcu4\nlpnzOuFBX3dcapiNXVZ5gHDm/GmmuH5GtgZnds7UNo2q0ZLoZsoaa0n1xqKy+8Ymu+tffu5xye4f\nFUZ5zSMOVC27zBl6yBH4NccHM/zD+DA+jA/jJeODZvmODeoZELaaJTpWAwAPGQTaBlVNXQHUvC1M\nrTd1gcYqz1MdmU07orbjo5mp5SXXMV3Xm3RXRrJ6gLmY4dKkgkYtzo61HO+LZIOzQb25xttr2c4B\nndltrxdvbX00M5y6a9+b2EWvPNePL6qO2zjXK9vr37wJ/nVGC2DvXuukh/Za7qyMplmW60bAhq2X\neb293ueSSLcWNo6e17w2j8gs5QNYvt1x7VbWe9JNLrXO5Sow5SufUsv+FzO3A83tl71gMhGaGVt/\nvwSPl4109qXJgDKX3tM9kF8AJapnvI4HimdcHn9xDGCz4C7mfL3eAiEBqHupN79Np+vvQ3G6VfOb\nmhnOV+7LNb3ybY1etzwf7uxvvZOnvHx+74sZrn+zzcZ+pm4DqmMDkmQaDG1eB/Rv9JrXTXpH5iON\n993B825swd0got9HRP87Ef0mEf3Lr/6P6pyQGnirN0Z6gHpgAZZRdCYFonZpCKgTnGwSvXAiFb2y\n/4AzAO97VzOKM+PhyVRSHdNZyljRLOtXVfC01MwzkHxY1ccmIP3ifMr3dQvw4rw60CR76L83AHjR\n9S/jnE0W586Lxo9DryzjGnPV+E++YLnXxkUv87Pfq8OvmyNkm1Bl7S84XXkVYDw/h25ebHTKjOuM\n5DWHRtnRKz3e1fFOMUsicgD+DIDfC60a8mtE9Msi8le+zuc9dN3VoXD9b31TpeINr8f3OqwSLYyj\nfcD2g/jiAy/HReVu2KTDWfjH45KAxkSqWd7/sfvaM3P8fBFXoOzBAbn+7q4wyofGQ/GVb3uchxD1\nrNIBCA/83/m5FsdO+RlANcfPxzYCof282cx6GYWtN1XvGT8fj5Stc30Q0nvuDX/Xjv5nAPymiPxV\nEVkB/BK04vHXH/1CfpPxJvPoBWDyInB4rPFY4R/bD73cjN4FUvCu6JVAp7G+5nVxr7GZfmPjSs2A\nNx0leuNlj3d1vFPMEterG1/0zSCinwPwcwAwY/84YPiy8Sbf8Rbn/I9zvM21/W0c77JJ+rpD8P6f\nz7uzDeu4djUvlqCIfE9EflpEfnqg+cWfeM0p8zbH2bH8OHopbzyjr/o/L2IVnVOpj+v8OiOdTcE3\nvR7Xqgb9uEdxyJUjed0qZ8lkljKusa1vZGPqIyBeZK5/ndGF+77s8a6Od41Zvll14750GrYTSmwC\nZsvQuTaBNUNkK6r38+XSC/ziyaSOoO6F6qF+dTH7avFac5TU/34kqUHylR7RZ2lvL12kZ38vplW/\n+EtoVj+q4+rsAHroS5AfqyPnVcc1XbmMdOW14jw83xhKT/Hte81RKVcm4lmUxiZu/axuAW1SXuWF\njr5varzv3vB3DSx/DcBPEdHvAfDXAfwsgD/0Sv9ZWkuc97/+GqynZtfY7BOgC0NqoUAEXAfM85za\nPoxHthO/xk4KbbI+zoejy/i8Xvw/j4MsWTYbz2ipJvSycbbpnA+SooNSY+6bcKWmPW3P9Rw0yZ6v\ns8tcn0vr2YcXW/4xAuk19qo1R18AmnYdrgFlEt78nvvQMHTm6/nGu3E+yiZiox+vFALUzYtNmFGX\nrvsmQ74FDp53CixFJBLRzwP4Vagj8c+JyK+/6H+u3Uc6Aycq5KikCpZFaq0A+kXWB0pT+YIzr2N7\n85WbXzrklcnbhRmRgUtZALkeR/ucckz96GslltTAGod3fkznx0rYxknacZcwofN1L2Ln3Vcn6uM0\n6/N2I9KfCWQRBP3ybGEhXONXyzkXICgF6pIwQLCWDJcjy4tDrH6c46EYS2AbG1tzGKRsDi2lVn9v\nBVJ6i6NuOLDLvmGX7Xlrvchm3m9ff3XWUBM8HvFav8sm9quMdwosAUBEfgVaEv7r/O/G87vR08qC\nLRP1yv/z5ueWRXERmnGOkee1ATvAvAgQtw8RoOZ5Ay/X6kqBiXZsmjdcc4ZLRRqLfyyBytJP+rNw\nkofGBjBrXKl9vMAKitDW9BMy0687TwA5mxleZBADiQqeXb47AO2ACK59axIILFohPUN30FQj7QGt\nkpI3ckWS/I15xV9FE625/CINKLvzqZ/VH7NJREWiiFmfk1W+Qh/GVq57vvKoQNmB43n90pp59gB6\ndSUOH3O8y57uVxnvNy/+MD6MD+O9GCJNv37T0CEi+kki+m+J6DeI6NeJ6F+48p5/kIi+JKK/ZI8/\n/qbn8M4xy9ceRGdaTqfdWP8Qymb6ZX4pk2vVX4pmia5uIF0WVe1Ncclbt16/2wN2LLC6qlqTsmcc\n15wBQEvxK/KAs97ZTNqyoVSfAdDqTG5M8SvHvbl+VxhGOZd6TTuz/FynLOyysMrcyn+JEFLWa597\ndg+upmhGJ40Y+yy3JwlhIEFCY5UPaZO9bvlNssvyXfqcq155zfQGcMEmUznnqmPSxgxPQtjolsU0\nrwWer2jFxibrfDuXTsQqCJm88lCv+O6X7fMjjEcMHYoA/qiI/EUiegrgfyGi//pK8sp/LyL/yGN9\n6fsPlv3oa/ABFZyqGW7exmANmM8FeQfqWhpo8VVi2QCPFPCBPj+Yc1tBE618mh2L5AYaQVwzTVEW\nX1voZfFrfUSp2S99sQXq2jjU4+xKp8lVwCz/cNZaoHhNKzhmbDeg6w9YZwXKVFmE/ntb7DEzojCC\ndc0M7C71O2EkKkVD9ENL4ffi5LmmW2Zky6T55hw9rxqWVEAzQcOGaqpqkSE6wAS0m2gSaxdS5oOZ\n4CmT1iwtzjTANmHaFnreAGfbrPX95XcDymtl+XqT29qi1H5WjwSYj6VZWkvb37afb4noN6Ax2l8r\n0+9Vx7cHLKVNiNpQrGN2OWvx0SBlgbYJ0DOQUtihACaTIPV1G7tujVcLqWbrJZ5y1yxM/1QmtmRl\nW9GY7lqP6fqpOZC2gS5tGDhi4NQcPXTWcqC0fCBYJ0budEu+7pi6NlLSmoYZtf0vSWlTUa6v2MJF\nQ7WOBUkBi44hxa6yU+lUWfS7AiSJqNPxVLdksoZl6B0oGRC+6vR5THbZA+VDrDJ3aFD0Sn10Di60\nHk+9lVPek+z6xMy1Un8uTD13XvGyScn2d7L5X1uJlJtgVfIfalQHoM2Lvr7ClarqX2cICPnVveGf\nEtH3u9+/JyLfu/ZGIvrdAP4eAP/zlT///UT0v0LDD/+llzmLXza+HWDZm5K9g6cAVQUobkwOdFHN\nhy3OsoCSo2y9T9DKvZ1V4LnqMKmxbB3zQvlZ20BkM8ODODNDlVmeH1M9NjSJoPQQ8mxOHifbPj+b\nytnF4UO1vUBpe6EHdeacKuZ3VzR44+DJRV5oIHmNZUouzFK7TyZjldoOg/Tcs0Nmtr5HWt43CSOT\n9kEaKCEI1+rqjV2isSz1RG0cPefmOPBmaZAPAeXF+7pg9MoqO5llhTMG6TfnHGpfJW1EV1scA9a9\n86zPUuoYZbq8/rWxXnHkVOtAsGkv0o/SewnYOAMf08nzGqD7QxH56Ze9iYieAPjPAfyLIvLV2Z//\nIoC/TUTuiOgfBvBfAvipVz+Ey/HtcvCUSaG2j00kfZbEdZGuteHX9vZpp0BtKlVatTIL4OQCgKS0\nX6AudrHqQtZKNGXb5TtT1Z57BrGKr6wji5yV9tJKNsqoxBpdtcZWrmtmVVrRbrstovWSPgPMCwlh\nY3obC6kLzB6FtVTARNUqKZlpmAiwh5gZmTIhJFcBM5jZWZmlaXZBXGXaxQqouq4oCJVN5drGUkDs\nPKwnSX6t7J7y/hcB5auwyhIqVTbpUAHTmdefEbI3aUKvS8x6nUJy1heeIX1L5rP51OZYY5XoiAJl\n0fa2L8v3NtN7017ENts3HvJ4Dh4AIKIBCpT/sYj8FxdfJ/KViNzZz78CYCCiT9/kFN5/ZtmxDDV/\nU228RLn0zlbhS5ll2dnJGoH1+iDDdT2dR45wLjcQqg99f3X49LtvLlJA7kBF/8R1pRNS4ioLVICQ\nS7YLWGYREQYr5VWPz0V4l6pUADQGrHKBVKAUa81LzmETgHzWi0W6lgLIKifAQL9cU0plUep15aSP\nXBcxtciebOeaHJJEhOSwOldZdf8AgFUcZjRm2cKH6IxdFueIbNilI9rol3pfOwfLGWCWe/8yIH0Z\nUGobZfsONFYZujCoVVy3IfgrzJKxZt8BpW40ufaA6pjlGaPkblOuZvgFs6w3ZXtyBo7bws9WwPox\nw4ceSbMkPdA/C+A3RORPP/Ce3wHg/xURIaKfgRLDH73J977/YAlqpmTpGdJpljBTBYkQEm8Wab5S\nPGtA61vtrf8JGB1j68CRGeCz7jClj3jHwriIkVknOQxAQlZBP4hDgHrGM0omyPZzlSQ2oJw4WsMz\nAbsMONMse1CvrXiNWZYe4H1TMmArYwD1OlLv3e82oGL+FZBMxRzsHsUMl0TISc3KkByi13uwZI9d\ndjjlARNFBNKpGCRhFQdGxiCutcQl2WiX9XjLZvkAYOqrDzt9XhUk9ecXA+UqzQzPQG1XrPPNI9sm\nUNoZL3mwc7YNM3vdQJNJFckhJe0DVZh6+QJl8d01r4BpG12yjQ7oLB69j3KFYVInKRG1vuPyWMwS\neGXW+ArjHwDwhwH8b0T0l+y1Pwbgb9XvkV8E8AcA/LNEFAEcAfysvGFDofcfLMlubt3WO2YZszJL\nA6iYdJFWZmkmb+1HTepIacxSARNOlKU5Qi7gAwCu7cjSA05hl9nMcJMEFVzUTM1JF8WSfF1MQRip\n1w9tqBlOGIuDpwCmixhcgtuApZhTB8gOyI6Qy6R3rI9NywHGhUccTs22lPV6ptw2oLIg6zOBkyAX\ntpMK8+nAsrJLbsxSGEv2mHLAwh6DRSgMEhHEw0EQpLXEbdXt00Yt1HsnF4CpB5vr9Ts3y18UfnT5\nWvvG8zChApR9AHoQYDVZZQVjhVoOree737DpApQh6/OaXTXBc2JIorbRAluQtA2r/h7b3Kuapd1H\nkesNyKiXlADAOWWWzBD/OEqdQCMjHuWzRP4HvATCReQXAPzCo3yhjfcfLPtRmFDx3PYCeFQHz5od\nTlIAcztKnWtlbkHZmytgqeAjjiC+MUuySdUOwVhZYZapMUsFTmUIOTNCVsBY8qCLCWwmnGymvQVh\nAQAAIABJREFUAkPbvzKAEQkzB8wcMHLEyAqW5PSclVU2wNTj1UkvdrxwTs1xAMLxupOn6JY5bxde\nzqCYQZltocrWLOzAEwAQGZIyUlLvf8jKqNfksLCyqyl3zJI8TnmA49wYJkWsUEfPKgwgY7CPX0Uw\nktHLHjD15CrL7O+xvuPFJOPcgVOr6F9hlEkEAa26UNFZN7osXGWVJxk2YLlkjyUpSK5JgTImRkrW\n6jjyZgPiaCAZy/Uvz2bJRLtHhVmm9LBzp0RIkG2mgAKnY8CzWiePETokwDtR8PQNxrcALKnuiFKF\nbGMUKYOTgKNOtBgZa/II2duELYuimbwjEUakytxGl0A+K/D4xtYABSJyTnfiAjiSjZUlUEo2afWz\nOQIU9TknZbqrmaKNbbRYS6Bpag6EgRTIR0rVFB9cwuASqDBLL8iekD06gG+muLgC8J3J1V9OkWam\nme5adEsAdj4CjvqgRJvFm1P7GQDSoM61nHXxr9EhOIfVeaw5YckJS/YYWC/SIB6DRKziMIiHo4yT\nDHYNpNOo9XgGeggw7T1nbTiqgPyKowdJAC8EymBfrCDJHYvUx0kGnGSsJvjJzPA1eyzZ29x0zRRP\nBIkMJAJFAhdmmaixyQ4wKQkods64Pq2xAOY12eGCWbYYS/GPaYY/zue8rfH+gyWhaYgWVF1jAqPU\nhUwRyEmZ5WI7fJnsZTIwqDLLmVaMBkbsczPDPVXTRJwDHKtn+TzWsnOMcCzMsphMugjW6LAmXSgF\nMFXrypgsVsfBPOKiHvGBlGkV5ju7gMFlNcUBhM5zn706ecoxi2/MEsYsS1ENzT8unrJc9S3kZGxS\nV6qkzstvrFkBszPFI4EMLCkSJBJyZETnEF3GkhyG5DFyrOzS5wJ+uhGwCJwInOQrpri0rBjLG1/F\n5BTSe+pAW5ZZxjl4vmT0IAnghUAZpASZ84X5rfdXz7UA5ZJ1+RVWeUpeZYqoWmVODmKMkmyj1Wta\nNiSpoNk2LwPMboOTpPdTUrrUK8nmr2NQxyxLfG52jweWj+XgeVvj/QfLD+PD+DDeg/Fut4x4lfEt\nAEs1hcumJWb+AqgMSM1fdTIsSVncSQasJaXOhiPGQIyBMmZjbpPT8KHgO5O2WO3e4tL6cBwpmmUC\nxaT6kYlZleUmAKahngqzFNMthR8MHxqIMCBjpoCZ9PhGThhdgvPGLH02FqmmuLJLqkwB3jUnD9Ad\n+5mCW/XftJE2KCVQcuo8i1wZDUc1xzkCYuY4YMzSmHTy6uRZo1OnDg/wrHnuvpjhNGhCgKV2OmhE\ngnbAzBfspFQgKhomaiqkmuQZ53UwX80M3+R5y6Uzp0aBdayyMMsV3HRJuHpvdd75yiqPSc3wYxpw\nSkPVcmNmxMjIkQB7UCRwNM0ynbHLKCBjlVWvjO2eISdIjbPc6pUb507Rsb2DOAfxaoY/GiH8wCzf\n8iA0724Jc+n0NZ1IFuISGUvUSRrEI4ARzuPuQJgpYaaAPa+YXYT3CeuQkQdWALKVmT2DC/hcibW0\nHMtqhnMUcDATNRFCUG/4MY1qmsmAAEZG6kBcJ/C5R7w4eXYuYPJ6jABAXpAHIA+yAcw8XDp5ALRs\nnt7JU3TLlEDZQ1LnLIip6pZUrq1pl2SgmWPTLMXMcHHNFA8uY00ZS/IYOWHhBG/AoZlToxYykQwn\n+qzXFRpD1S26oQKoZlrnaobrz4zOLMc18Lwc58kKmxhKA8ogJTi+AeVac73VeXOSAac8GkiOOOQJ\nSx5wyCOOacRqZviaHZbosUSvmm7waoJHBkU2R87WDOfNQ+UQDjrfWgKB3c8X6ZW9c4c7zdIzsmfk\nx9IspYWTva/jWwCWVD27gDLLMkkoZnAQuCDKcAJjTQ7HNOI+TziJQ0LaOFMYjAERYwEkH5pH3Avy\noLolANUui3e5Dx8qTp5YnDwds4xQwAzKdNfksGSHQx7NAeCwSkQw4PJwdlzUWK8xyz2vCpYWQgRA\nnVGdk6c9lFnK4CDegbzeeime8ZSu6paSEignIOpKpeR1AwgJ4lnZZSK4YNfGFnY2FkRRQMEYSmGX\n0WHlDM/eMqVSrdVZqin17JKRW67ZFcAEAVk0aD+LXICmesRLgHpz2py31n2walBllls2mUSDzrNQ\nZZMAtkApBSgNNDtWWZjlKQ2qWyaHNXqkyMiBgcDKKoMyy95RqBsvmrMtZLOkdN4hJojdM0n5Qb0S\n3DkpvatzQomBOQofDeM+gOVbHrT1RmeBmDOCQmrMMgCIhCXoRK1MTpa6kMrCGggbMBp9AgZjbAY8\nANRT6J16l3vALiBj3nAO5p0vJqtN/hwYa/Q4paEupOIRv2aKK5BDmS+vmDhg51bMLmAadGE4n6op\nXlhwfR4Yzpsp3rOIEj5yzRS3zUc6M1zZpQMlPTcOBPYEDgB7ZbQlVl88IAUsmZAdI1Jjl6c41IIl\nQAHLXPuJn10AHRnIJfMGhISEsXPEOJKroInuDHsA7cd5a48CkPq3LZtsrNJhRQsF6oHy3thkY5RD\nfRziCAA4xgFLcliCR4yMFBliERwcLD432BxG+5ljIQICChkUUjPBS5ws8GDIEHVASd5DDCzhNdtL\nPKkV9cHBA+DbAJYE9UgXb7TkJpjFpIs5FlZHiEl1wrLTB2Bj8jIYI5Fpgs3M5SEh+6ECJgA1bQed\naHQlfEhiqmYrAHCQbvJrKNMSHQ5RF9EhT8ZEmjyQSapHXMOHmm55wwv2bsXer5iMWQ5DQhhEzfCB\nIF7Dd3rAJOdAtjDIe/OOJ80/PjfFSwhRatdUWbMCpQwZHBg8qDbMQb+T7RpJIGSvG0R2DAmC5AQh\nuFoGz7HX4H8AvtTpLL2zrbBJvUUGmLUNRTWvGQmpsstz0Cy5WqVg1EP9js4hugfI0nUxWYWgFS08\nqMRPAqhhQved2V2BMo+4j5Nq1dG84dFjCR4hOsTokCNrbGVQnZKD6cEVLKVjl/qoXvDKKpuFpWb4\nAya4c80EL8xyUGaZxkc0w4EPYPnWB9HGwVJjLQHV3EKGC7pYeVWd8BDHavYG6RYOafjQAMJMETe8\nYMcrdkOA8xlpUFMzVc3Swoi8q4HeYkU0Nk6eoMdTJIEy+REYIXgc44C7NOGQJ9znCcHdIxsH6uNA\ne93y3BSfva6k0SechmQT3kzjQYFSzkxxAM0EeyiEqMgaZtLBe2UuIQKeQYHBPoNXgitmWxCwL9cI\ncKuWjCPLq89BENmBWbCwvwDHOjzq65lLMLlWJcqGHKUe5ljzyFvWz9Bl2rjyOR1IXgsiqixyk09+\nCZJZuLLJc7AsGmUPlIc04phH3MVRN+s44hj1/apVesTg1PxeFSj1AVA4Y5axzSUyE5x7Vhljc+rA\nzPBrIUMWLkTeA+bUAZQEFIskDY9khn8ISn/7QwjG7BgSoFknqZi96o0ujI4CIQWHYxxwSE0jDJ35\n6YjBRJgo4YYXPPELdj7ADwlxEA1Mt05aeSTkwV138hSQSQlUwTKDowOvAK+6GGJwOJnTqdctT6Lg\ntJd0oVtOlDFTxJ6XCpZ7vwIApiHC+YzgpU52Vyb+yHAjgwcGBrv13gHe6wJzzsy1S0cPkploMYKi\nB/wZu4ysC9hrsH5hluw1tJEtm4iYIMTILIjksLIVMLbLVphk6bAJYNvcDYxkfXoAYCZGoohSbT2B\naz3SJKXkniAYTjhcAeWzcd6BMp8V712hFYTW4u3OY9UpAdRoiwqWacR9mnAXR92o44hTHHCqzNIh\nBKfmdzCnzmomeCA4A0pnJ1F+rqwyqgmOEJtk0mn3tV5BGdTplE7vvwweMhRmyQ0wB3wISrfx3oMl\niCqzqx7xzmSkkOBWAa8KmAWc7o3JncQhiLEUq0A0wGGktTK3vV8x+ITjkNU0GW3hDgQZlVkWU7w4\neSQLJETQGpoZXoG7Md0UGKegTOOQxmqKB1kAtAD1YorrsaXOY7/giVuwN2Y5+4hhjAjjgDwyxCZ8\nGpsZrsxSwaaa5EW7fChAvV7TqIAZzIQr7NJlxVrPYEdgb4yupF0GDZCH6ZayalQMrNp7rU3StfcF\noBXUu1maQLWpGQAkIozkEChhIGfZTdGqFmk5u749XR/c/tBIF2DZgLiUk+vTF4O0cDQANei8N72V\nUQ6VUZ7M9AaAdfVI0SGvDggMso2UA1VGWeYvsAVKXhN4jaZXJmANQIyQEGse+AsdO2yOHe8gg7F3\nr3M8DapZPhoh/OANf8uDABn8pUccsEWdmlYYCFgZS/C4i8Uj7hFEWVkpquGIMBEMiE64cSt2Y8Dt\nmM2k1Y9XU6XpltfSHiVn3fEB0JrhFqkLgAJBVocl6CK6S2qGH/KEEx8BAAH5whQfLLzphhfc8IKn\n7oQbr+A6e3VIncYEGR3SKHCjAebQAJNH84YPHhS8sksXzSnQ54mrs6qiWXJ6XZ0DhQh4B17VIZAH\n9YqXbCcAEBYFTIal1aH2MxdiJHJYX7CGaqtc18Aq89q0SiIEi1zQnGxlfCNp9SJHGU4aSy2Oo4cA\n81ov88IiC3vtQbKUW1sshhJQsNSNb9w4cwpQHsOA4zpgNbCM0SGtbEDJDSRXbJ+NWdbNf80aVxnM\nAx7illX2zLKMC8eOSjIyOOTRCjCPbEAJ5BGPxizpA7N8u0OKZmmAKTHWSSIFLNcMtzaAWozJ3aVZ\nNUIcADR90MNVJ88NL7jxC3ZDAI8JeRSkwixHQhoZMqrmQ1YvcqNbxqigAoCDOpzc2swsBNNRgwr/\n5ZhOtb5jsti+/EJT/IlTsHwyLPhynHHvR4QSGzqUYwXSRHALI5vJRYMHlVCiwZszwNWwE72Qxi6B\nql9KYaQhgjyDPZs2SXAsyCWb0pilY+jGZkAJYpTi37FbjD2rFGvFAKC2ZciOak1IAAjsMFNEEFcr\nMo2UEKzSPUuugAkApe96GT1otn7yHVAW876rg9qDZJ/nvRhYnnLxeI8WcO43QFmcOSGYRri6qlOW\neeFWNb/dquBYngFlmW5VCYQWtZ4oxMr6C6usTcnOWWVnfmMcgMFDRt+YZdlcbc48VpzlBwfP2x4E\nyOR1sfdOHkAnT4jgNcEFgVvMybN63IUJt2nGQSacpBRASJhIaeNEjBsDoydOdcthSFhGqcwyjUCe\nTLccjJ2d65Yh6q4PgNYIt2ab/OV4GHF1OIQBt1GP6T6PuBcNK1lkRUDCAHdhiu/NCfXUHfHEmOXe\nr9gPAXdTRBwH5CmbVknIo0oHRbsE1PN5lV2eteqobJ0JSA4Uoy5w86ISM9gxnPUoKkRf6392fYGY\nICSAMcvSrqeD5tbsrDSZg1aVL8HfOxe2hXMpYuCImSIGM8lL+w2HEopUHD0tyN2dFdWovcs7Vpmk\nsclkze4SGEtulYNK7GTN9c7b8KBT8lWjLIwyBDO7AchijHIxRrmQ6drN/Hbm0AFM+14zeE1NqwxR\nPeCmW171gHeskrw3+cU17/dUmCUh2XzJj+Xg0d4mj/FBb228/2D5YXwYH8b7MT4wy7c7hJUd8ZlH\nHAAkRHBhlmbK8ErG5HqN0GopcmpOHnGYacUzPuGJW/BkWDAOEacxI03NXFEzXL3LV508KYGCKvNV\nEgjSdKhFj+cUlO3epQm3eYdDngAAJz5ikYyZtrrlRKy6Ja1VWwWAZ37BF8OKeYg4jQlxdMoox2ZW\nqXiv58CTA1Y1wSmemeIlTQ7tmipbDsoM2XRLK/vGq5Z+Y09wtfWGVNO8Vt0mAkggRMhEGxdMzzBL\ni/LSRreY4jE7RKfXNLK21B3EV4ZZKhcVr7ijXL/B1WpOD+eIa2/vLn5TWlO13NWobJWEvGXlmDWQ\nnSYapEHTazuHTs8qZTUnWyiyDKm1UczvReAWVEuEl6JZWqjQqhLPxgRP6XqoEHBpgnsPmQbI6JFH\nV9N4m2QD5EkeTbN8xbT8d3a892AJIuTRww3FwdKZj0m9g7wmuCWDV4ZbCGFxOIYBt2HGbZqrMB8Q\nrzp5PvIHPPVLc/KM9vGTgdDk4EcPGoYGmDFqGFOMTf8z4OZF4BepCwMrY1kGHMKI2zDjblTdEoCl\nPyaE8xAiOMyUsOeAZ3zCUy5gecQTv8duCLgfI+Lokc2DnyY75oXgCuAvDjR6cLhmim/DiIASx6pO\nBIoGlMUz7gjsdMGXQh1i3THV7C7md9EtBaoiauMHQAEySknzb+1zk4FlzFppvRStmNhrwRMOOPGA\nWUIr81ZN8a2DhztdtAfN2o5XqPuZq0d80zMouw1QrlbAF4Ca3ZbCeIoep6BxlCE4xODVmbPadUMx\nuw0oV8AtqGZ4k2wy3GJRFUtqWuUaampjnWvnoUK2Ti5McAsXyqNDmhhp6sByoubM5EeghB/iLB8e\nRPQnAPxTAH5gL/0x67IGIvpXAPwRqNv1nxeRX7XXfx+AfxdKof4DEfnXX/Y9QkCeTHcb/KYghKQM\nsfAhXrJOwgWglXFcTSPMM77KMwDgJMeNk2cmwg2teMpHPB1OuBlXuDHpboum7Wg4kemWQ9NOaxhT\nyateguqWS4ZbnTEHAi9b3fLLuMPtoMd0L6PqlmchRCWbRwFTPeIA8MQteDqc8GRccDeOWKcBaWbk\nhfQxEuIEuLUwSwYHBwmDspQNu8zbMCLAFiLporSK2uScLlomZZhdC1V17DCwAciSFWLVgdA6bZZW\nMfq9pTMkIw1Ri+J6h8kK5ALA6hIWdhU0F/YVLAdO1rcoVX2ygebDAFDAEVDNsvQ3L46lmItmyRUk\nV2OTAGq7kJMVxmhA6S6cOQAaUC6FUSqr9IsB5UnAi2qU+n4NF8IaVKu0cKGamtpbBGVccexsWOXI\nzXE5AXkC0iRIj8gsH9Mb/jKsIKIJwH8I4O+FNir7gyLy197kO79pZvnviMi/1b9ARH8ngJ8F8HcB\n+JsB/Hki+jvsz38GwO8F8FsAfo2IfllE/sqLvkAYyCOrV6+wulzA0oBqDXBLtslH4IWwLh5frTO+\njHscRFncfWYEVidPKdc2U8Izd8JH/oinw4JxCjhMSi3zxMbWCHl0kMmOYfCQGDbxlgDUM75GuCXB\nrQ68WoD6QoiLw3Ed8NU6426ecJt2AIDbPOOeT9hLxCQaSwjAwFw9wQXQAeAjf8Azv8eTYcF+nHEc\nI5IxB56UXboFdWG4iZGDAxXALBkgQ+6Q6zKUiIDK3MUKyMIxmFlTY2qPHxhQqjMHpXxarfyjYEzV\nqcMVLLWdjHU4FEJ01hHTOQTLQJpyxMgOq0s40qCtQDjVsm8OWfuro4ClNOA8A8zcecNLyFJCazqW\nhbTBXNbiJzFrpfs1W8UgCwEoBTEWS1+MBpQSuMZR8trAUudkB5RrMb8Ls8xmGTVHIc7N72CPq+Z3\nzyg9aBw0CN2AsrDKWJjlZHLNBMiUHw/lHuljiMjh5VjxRwB8LiJ/OxH9LIB/A8AffJPvfRtm+O8H\n8EsisgD4P4joNwH8jP3tN0XkrwIAEf2SvfeFYAkC0sRmig9NtwSqGcwhgi04XU0c1Qnv1glfxRlf\nJWVxi9fMmV0XnL6nFXta8JE74smwYB4DDqMVbZhEJ9ZEym5HDx4GTRs7bzMBQEIALSYLnIw5nAhu\nAeLKWE4D7nYTvgg7fDkaWKYdDnyPE0Xs0TTVcnyzecWfmRn+lI/4yB/x0XDCV+OM+3HEOnnkiZHt\nWNNEiBpaqmFMwYFWD5oSKHhQHKqprZ0e8xm7tLCUEHUhxgjpGrcRUS2DZgRRa0xWhmKAKaS4uQmC\n1/giDX0BUrbe44mRhgKW2ssHAIJzGJzHkLTB3Im9NZpLcCTwlCvDBFCzg4BL3bI3w2vIkuWEn/f0\njllZZbDWIKV3DgANC0olK0dTGBUoqeqTRT8HirndGKVbYDJNhjtluEVTZnkpFoomO2ANkBAeNr/t\nHpBrYW0lVAijscpJWWW0jRQ4Y5VTAj+GGf6442fwcqz4/QD+hP38nwH4BSKiN+nw+E2D5c8T0T8O\n4PsA/qiIfA7gdwH4n7r3/Ja9BgD/19nrf9+1DyWinwPwcwAwPP0YaSLIZBOh6JaALsAQgGUFn6JN\nPIY7EcLJ4bAOCkzpBgDwlUwIEqpuOZDDTMAzPuEjd8Dz4Yin04ovZwW/NHmkWXfkNFu85TiAxgF0\n6uItY2OWCBG0BLhl0GNZRDWrk5ni64Cv1h2+nBQsvxp2+CrP+IgXBMmIlOBsURdHzw0n7C3j55k7\n4SN3xDN/xLNxxu004bQOOE2NXcZZFygAxFXDl3hy4KCCP1mx3/JcnT3lmgKWVgoNkrS88lpMlqgm\nXrtSa5QJ22zsYoKTEhdjcmQsM2crVCKEnEgzkUTL2mkRYWNxLmH0CQNnDC4pONqzln6TWpwDULB0\nJA+mOxZw3MR3Qh1MPVAm6+0drF9OAUgAVjnI0hdjA8k+jrIAJoCqU24dOtl+z+AlgU9qlQBQoAwR\nEoKFDYXr5nffrXEYdG4OjVWmySFNDnFumyiADav0U9povG8yXuNjPiWi73e/f09Evtf9/rvwcqyo\n7xGRSERfAvgOgB++zjH3443Akoj+PIDfceVP/yqAfw/An4SuiD8J4N8G8E/iugKiwtX11y9f1Av3\nPQDY/c6flDgT0uzhxqHplgAg5hkMnVZ40olJC+O4jApMncl7kDsEM3cZhJkYew54agD0ZFRTHACO\n86DZDhPMlGnxluemOKDeeQoBtETwkuBPHv5UFooC+GkdcBsmfBH2AIAvxx1u3Q4HucdJVsydo2cg\nZ177jBurDPuUj/jI3ePjYYev4g5fjTMO44gwq2MhmTMhzXobYgBcIM1ZD96yQQaQ1UBsfcOlXlO7\nCQBy9Y6XG0XGLJsZTpvQ081tLozSGCYAUKba7x2ZVMYYtNp6Sozss7bVtZ5D3itYec7wToHSRamA\nSSTa//2sitFDAFCD30uGUOdgiqL9z6M9QlLQTqWyeTKdM1k9ytjqUfJqFYSMURaPNwAzwTtGuWa4\nk8CdUnPmrLrJAtjolBLjA4UyWp3X3gQvrDLPyipTBUrADCykWZDmDJoTxik8DlgKXifd8Yci8tMv\n+PtDGPK673mt8UZgKSL/0Ku8j4j+fQD/lf36WwB+svvz3wLg/7afH3r94WNgmAlhuuUwtjavpfJK\n0S1PqZm+J8a6eNwGdagAavLee49FIibxcMSYyOPGQog+Hu7xbDhhN+ksP04z0k6UXc5mis8DeByb\nfhpbjwWJ0YA7gJdY2aU/EeKJEBfGugy4XSZ8OevM/Tzc4Nbf4jbPeMoBs6Tq6AGU/U5I2Ftl2Kd8\numCXd9OkdTwnhzwzUgBSaCZgtLAVXh0oeDgr9UXRb8xxveedSV6C1YlBsHAiUicPddXIL3dBNvNb\nTXASQbKFRBl1YZG11JVkLDMLJBKSV9AEFJiYM5wTOJfhOMO7BMdey79ZRSPHTbO8WuEIuABIPUVl\nlQIgGUBmA8ucSUuqJbbjtHCpwEBqRXtbjjdtUhhLRk5jkzCvdwNKPkXwoiY31mCfH4CwNp0ypVaW\nEGgapYVvkYUJYRohG6BkxImVWc7NDE/GKocpYj+FxzPDH8+afxGGnL/nt4jIA/gIwGdv8qXfpDf8\nd4rIb9uv/yiAv2w//zKA/4SI/jTUwfNTAP4CdCf4KSL6PQD+OtQJ9Ide/kXQGz0zcmGXJcavVCEK\nOuF4ifDHbGAJxJPD7TLhs1XN8C/mPQ55wImPeNKZ4nsqjO2IT8YDnhpYfjmnC1M8T755xZ1rpc0A\nNZVWA8tThDsm+JNTFrEQ3JERjw6H3YivVgXLL6Y9vkh7fOVmPM9H7ClglgAGbcKIbgwMDhIv2OXd\nNOEYPFZjl3l1SIXVzIQYUKsGcfJa1DeP2i9cpJnjwJX4S9nm4kOdOZ37Rr+nv2dZQMIg4RpSQgbG\nyZhlyqgtX1OGFkuOAhkEkhQ0AShwuozkBMxiBT20/BsbWBIJnC146sCSrjCmEqrUsoiAXGM8qfby\nzgaaCpKkLNL6epP1zKGuDuW2KEbJ79bvLOFB/qT53r3pXYCSFtUnAZhWWVjltUwdbqY3oOa3AaXM\nA/LkEWeHODegjLMySgDIO2WV0xzwZFrgX7N98EPjEb3hv4aXY8UvA/gnAPyPAP4AgP/mTfRK4JvV\nLP9NIvq7ocvhrwH4pwFARH6diP5TqBgbAfxzImrbEdHPA/hVaDjAnxORX3/Zlwir+RBnRp4HBcvR\nAiGXpWqGsq6gk5riClAEOjkclhFfBgWmL9MeX+Q9/iY5XpjiT3nFc3eP58MBzyZ1pkzzisNOQ3Pi\njhB3jGHykHkEHTTmUkLHLC1AXYwl8BLhTh7+RHBHgtsDaXFYTgNuV93mv1h3+Hy8wRduj+fugL1E\n3FypRDShMMuEeznhuTvg1t/jdpxxH0ccplELdqwOKRAoGusw5hOjAiYlZ06efGmO6w00ltkxzLyt\n607cmlyZMxyAOckFgDh71htI5sjRzyo9sM0ja6CZB7EWwlpMWKyqkXiBMEN8RnYCcozIAjKwJAKY\nWyUj7kDzHCylY5P11DLrKWeC5KahIhtI2oOssjmg9Qc4QetQxg4kC1BaUkJllqsom1zNmWOm9wYo\n17Uxy3VtNRDOnW/stmY3ADK9EqMCZZq9ztmZbO3oGipgKVPGOEfcTCs+Gk8XaaFfezwWQVUN8gIr\niOhfA/B9EfllAH8WwH9kDuTPoID6RuMbA0sR+cMv+NufAvCnrrz+KwB+5bW+iARxht14Bz+PtVbj\nprDGGkDLamzOw50IfCKcTgO+XNUM/2F4gq+mGbfi8fyKKf6cD/jEqykOAPsp4DBlxLmZ4nHv4O4G\nuGkEnTxobaFMysIyKKyg0wo+jfCnAf7E8CdBPBL4SIg7j9uTgeW0w+dhj8/8EzxPBzyjBfcUMHTs\nsmiXADBTxlMKOLAC5p2fcTvOuIsTDmHAOjuEwM0MD4VZAjGSMUwPyqUnuDl6GnroqYR4FlKUN78W\ngLSoyiYgWT/wApaUi05ZzHAFo5QVHHPUwGiKBBoUHMk6VgKwfkMAopaAq0HwTpBZgFJnK1PdAAAg\nAElEQVQvs1Bbq515jVXq4RnQV+CENtoyr3zRUlUmICChAqU1qKwgWRuLlXqUJc+7ewZgYUGFUWri\nAq0RdFpNn1SglFWpaJnTlw4dM79LzPFozHIaIdOAvBuQdwUoFSzjjipQ5p1JFbuIeQp4Oi34eDrA\nU3dj32Q8olP9GlaIyB/vfj4B+Mce7xu/DRk8H8aH8WG884PkcYPS38Z4/8GSYU4WaPjOZA4WqLBd\ndB1ZV/Aa4E5R2dxRTd/16PHlyfTBsMdn8Qlu/ec48eFCtywhRJ+M9wCAZ/MJX8x7pJ2vzDLNjLzz\n4Gk0Z9NS9bWi71Wv+CmATwn+6OCPDH8C4omQTozTUc/hq3nGZ9MNPh4OD5risGMEgAkJN5zwXI64\ndyPu/YTbYcbdOOI4a3mwFF3tvphCMcMLE9Je4JTVFJc8WjhPYZbNOy5AcyyYd1wSNEzI9LgWIKRh\nQfq/ANvPlJ2a4uYcYSuYo6xSlFlGS71LWteSfeuDJF7r12ZnzNJBqxy5kmYpShKLk4LqwVyfT8Uz\nL93vuT2TsUtKVOUC7d+NaoZr18WeVbYapi5YnndQ0xuAscrUGGXxfFscZWGVNW32RayytIkYxipH\niWXrVK1y1zl1Zls/uwxYSNw0BzydlVV+Mtw/nhn+ofjv2x3EgjSLToAdI+0GBSpABe5Ot8Syaozj\ncYI7Ofijhuvcn/T9n687Bcu8w0EOG91yzw5PecV3/B2+MyhYfjQesdsvuJ0H0ywJcWYNY5rtOJZR\n4yuB6hmXGCHLCloD3DHAHT38SeCOgD8Q0o4Rdnprbk8TPpv2+GR8uSkOADM8AmWcOOK5HHDvJtz5\nGXfjpDUV5wEhOhwtLzkFMq1SQ1tiAjixAkH0QBJwyursARTgOofCuXccyKbTtoVMFthOOVfAJBkM\nfASUHPJoDp7EapYnM8etHzlZw7kClFTA0uplshUcFgcrB2dgyYBwl7LH0Bx14DK4pLzchTIVoFS5\nAGZ+m3yQAC6gaS2AAVTzm2Kpag7rmWPPq1XMX83sXTXgXPO9Y4ujXFYND+o1SuBhoPReAbI4dGYD\ny3lA2g2IO4e0K/o66iPNApkzhlnn6c284vl8xMfjAR8PB/hHqoDxgVm+5cEsSPuMuGOEHSPPDmJg\nSeOw0S1lWUHHFf6QMBxNtzwwlgKWyx4/Cjf4Iu1x77/chBANomBZdEsA+Hg84um84G63Q9o5JAPM\ntFNnE5uojsX4n01yMR2KCnifBviDg985xBPgjoR00v85noYLdvmMT9hzxCyluk7zNZc0yD3FerwH\nP+GQR9yPU62EE0PJNmFjlerkUbZkYJlVu6yMEAZ8War3WrXKdAmYZzIXAVoMWcTAU8A5Q7LXzoSW\nKkhZkLJWC08jg6NVeDdvePYAW2M0ABCn4ClsQKlEtT5rlFILkpfCKjugFOoWcvHOd7+T+bOoPgqr\ntN8NKC3U1Voed2BZGoytUkFS87stfTHkmutNpTbl2oUH9Rplvcblwnb9dErg+TRB5rGugzwPav3s\nHIKBZdoRkgFl2mfwPmK3U3Pg2XzC8/GI7wz3+Ng/IrP8AJZvdzjKwC4h7ZztlA7DrMI2D0MN37kw\nxY8D/IHgj8By0Mvw1WnGZ+EGP0pP8EWe8QnfYQ8Fo4k89hTwlE/4xN8BAD6d7vDR9Ayf7QJOe2/s\nFuoV33nIbgIdT9UrWZ0ipRrRao6e4wh/9BiOjHgE4pHgDpbONw/4alZ2+Xx4ovGT7oSn+YSZtkHq\nej0YEwbcUEagiJM7aFtWP+EwWpuDecAardCrxQgmc1LoQ5QxZQYlDwjgNsxSqmldHT5XAFNftxuV\ntwyUrMWu9vcRsPUpouRAUYvRUgJyIPBovc+DFi8WJ60dsfUol+6RHTTmkzvArLFMYgU9yu/dZOrM\n7+pw6hxRG8BMBpCpmNzqxQfQ2tQaSHIsPaAyXMgGjqll5FgBX1qCBvhbXHANDXqwOEbXHmIclRwM\nAzCN6tTZ6TpI+8EYJTcLaAfEvQIl7VI1vQHg4+mAT6c7fDzc4zvu7nHA8oNm+faH44xhFxB3o06C\nPSPbJOF5Ao2jehFLCNFpAR0D/HGCPzq4I4GOCjR3xwk/Wm7ww/AUXwx7HNx9rZ7uiDGTw1MO+I4z\nsBxu8cl0wA92T3DajYg7h7gnBANLtxvg5glkXkyKEbLYpC8xl6cFfBrVFD86Y5hAOpqmeHQ4zSO+\nnGf8cLzB8+GAj9wTPOUj9hQx0yW7ZJB68DngJAEnd8AhT1gG6yDZ9ayOiXEsYJm5A0zY77CJbvpa\nhoId1ATfYM0FYAKQ1IURaaZPZaciat6nBLLy85KzditMDpxYm2fF0mmQwEGQPWk/a6ACp5huCTaw\nLL1+CmAW2bgv8AFsqoZt2GV5rdSROANKfZbKKNkAE2jgWft6R2OTIVtN067COdDYZAi1ur/ELuD8\nPDwIuA6U4wjMyirzbkCa7R7vnFleBpR7IO4EaSeQXcK4C3iyW/B81mIs35nu8elwh+/6W3zi7l5Y\n+/O1xgewfLvDU8bNbsUXNzPi3iPsGMn0PjeNG1Ncgpk6pwXuMGM4evhDY3HLccAXpx1+sD7FZ9MT\nfJG/xHNea7WfiQY8pYjnrD17PnH3+GS8x7P5hC93+v0KmEDcM/zswfMIOioQ9HGXkhKwrpB1aOzy\n4DHsGPGAmo6YZkaY1BT/fNjjB8MTra+ZjrihFTMdMVEEG1gO5FoREGSsHBFwwsnd4STWcXAasBo1\ni5mREmOJjFhBkmraIWU2UCtUTios986bMq4yoJxM23Tm4NFwJJEMsiB4WPtiRC1CTDFrI7iBwVHT\nB/PA1qtdKlhm0ymLgydbv58GlHQGltjEMl2A5RlgbsFSNmCpzFLac2eG137e9qx9csqzmtWlN5Oy\nyKRmd8rKLmt869cHynhj93jPCHu2eWk65V6QdwluH3GzW/DxfMQnk8pL3xnu8akB5XN3eGk3zFcd\nj2XNv63x/oMlZ3y0O+GL3Q3ivgCVmpjDbgSPY/WKQ7Ka4qcV7hjgDyOGA8Ebi4sHjy+PM3643uAH\n8Sm+8Hvc84IntHX0fMRqrnzH3+Enxlv8P/MzfLbb44v9iHjDiPeEsCP4Gw93P8LNGjNJ5tQpBTau\nssuDwzC7Lk+XkGeH42HC5+MOT8cbPPPPNK2RT9hzwJwjnPVJ7R0+GfnCHD/5AaexgaVWy9G85pC1\nuk7x+lIuRS54y7aMaRagrIDJrKzoPP0OqJEAmhIjwGA6qAElmR5HWVMtET0QPVzgBpqrAqZsmKX+\nrN5vQnZbkGzFh8vBd4CJBpbnrLL+bmDZ9MoeMHugVIAEiknegWQqIJmsPbP2ZaoZOT2bfInZDeDF\nQDmP6sy58Yh73daa2a2sMu22OuWzecHH8wHfHYvFdIdPvALlUwq1gtT/38f7D5aU8Hw64rf3AWk/\n1F0UAMb9UE3x6hVfA2RZwYcV/jDDHxj+YCEfB8bxOOLz0x4/3D/FZ8MT3PrbTYD6DI8bA8tP3B0+\n9bf4dLrH39g9xe1+Rtp5M3U0QH3YD2ALMKfTAlrXCiYbdnlc4KYBfvYYZvWqA5bKOTHi5HE3TfjR\neIOnw6L1Nd0Je14w0z0GEwd7k9zDYSLBDQcErAjuTntcy9CaayWPkB1icsiZkaxgRQNKLZm2dXgY\nKKABZZ/iaG+zH654y5O97lxjmZW5ZvXqlqZbzjXQ9AyKDuIIbH3PK1haozTVLYs3nMrhXzDLc3O8\ngaRsf9+ApbRnA0l18GQN4K9muJrciHpuFSRLQ7FSUq1ESbwOmwQsNGi4CpR5PyDtPeLeIez05MKe\nEG468/smg/YR837FR7sTPpnv8el4j58YbwEAn/qv8B13h+d8wlPOV3L7v+b4YIa/3eGR8N35Dv/n\n7jk+v5kROrBMOw+/m9RD6AdIMKBaFtBphT8EDAcPc27DHwjrYcDnpx3+xvIUPxif4Yvh842jx8Ph\nqTlTnvMJ3/W3+O54i0/mp/hsv8PtfkC8IYQDwR8Iw40HH9Qr6ebpgl1KMB11GEBmiqeZMVQz3KrC\nzA6nacSX46yA6U/a05wXzBQwkwL4IGqSn5vjiSICLwhmjvfdEUs1nSyEQwaSDBYuQ1WYJ+HNVS+j\nFMyoDLOUGLJnLXx8BpiSIEL6P1kA11gUGauq5rl3FTTJO1BIEK99ygFAHGu7Xc+NTTqr1H7NDC/H\ndS18qGeVHXhW3XYDlv3DdFaLENBUUWPLBSStqLLU57NQoJSsctAVoCwpjKUwRg0P0rkt84i8H5Fn\nZZThxiHsdcMGgHhjzPJGgVL2EfM+4OluwSe7A7473+G74y0+9QqWP+Fv8ZyPeEoRN8SgxyiV/sHB\n8/bHQAnfHW/x8f6IL/Y3iDcO4cZ21CcOw26Am2fQ4QgJqzK6dVXT97CaKf7/sfdmsZJteXrXb417\niIhzTp4cbta93U1bspGAB3hAzQNPzFYLsIyEhCxZFkY0SFi8Wo1fLBlLmMlCgMANWOIBq+ClhQUW\nHiQknizcMgh5QNiurq66mTdvjufEsOe1Fg//tXfEOXkyb1XddN263blSoR0RJzJix44dX3z/6fsy\nEzsoxsawa0perVe8rNa8Dmse6oaNnpZCT5Gb/C70wH2z55Hb8rA842W1plmVTAeTmaViXBnsIRec\nuuItdnmj77Lr0Y3N7DKHULPAcKkYC8veF7zyNbUVr/BaizhxmUuxDgnJb/dfBp0YCYypzR42GSyj\nFZ3GEyWdNilCApUMx7h1PtNn0LQkpTBzV06WZhMRYA25qCUvfkdYuSgW3QIIYyQ0nyZRbsrqTWTb\nVoxGWSMCywAZKNF6AcmkldyvRQVJKuIzSLKEs3dZwghQppMw/HQ0M4NjTiXIKGhEhSTgOHcMTCI8\ncgMk5/c0H4tsLAa8l02i9HGEcR5fdBJ+k3spYyV9lKEWoJwjm+V7UMO0Tkx1JNUBX0tB57JqeFjs\neej3fOKueWi3+bxuuNADG62otftgfmUfmeU3vIyKPPJb7pcHvqjP6GvPtJwkmlB7dFXIr3DXH8Gp\n66Xn8jDhcuuQbRT2oOkbx6u25ll1xnN/xkOz5SI21Gou9MjjazVyoVse2i0P/Z4vy4arVcluZZma\nI7u0a3m87jymK2V6Z5pIQzyyy76HTkIre3CLg6Sb1c29InrN6D3XvqJ2IxsrnuYr3VPmnOUckp+G\n406ZpVk96JGBhjHP/gzJZhMuzZQMISvudFFEcIWqnU53JxbAXBq9FTpbSRzFf/MfB53dIPXboHDC\nMpcm9piO4fcJaDKJN7mydnGTBEg2M64Mlje2SpgntwFyDsFvx5dzAeIULFNaUg8qzHnWuYqfjjnW\nKMAJLLcJITPI+DZIzv2p82vcXqdFnJNmc0AEfEtpD5qBUvL1R0Y5h90gjHKqE6kOuNXAuu64rBoe\nlHseFHs+cVse2t3S5XGuewFK5bCYD8Ms4SNYflwf18f1cX3VUnyshn/jy5B4bK95VOw5qzu+XFVL\nFXCsFdPKYiuPLryol/fh2KDe9pjDiNvLL7Y7KMa9YjxYrpuKF/Wa5+UZj+2ah6Zlk8YlFwhQK8d5\nDsU/cVu+zFXxZlUyNUaq4iuFa7LJWOWE5XY9yo9H5hHzvHjfo1qZ/LGF/B+fXfdikS/e0HrPa1dR\n2Q2VGagzuwQo1YijxzCitb5hcFYrR8zFnpgkUTtauxhyTdEsWo4pKXogYMniavmIS0h+NCCTPKBR\nCqN1Zpcn4r+zavo0Cdt8R0i+OHKmCEq/xTCV0RJ6T0GY5FzsGMVhcnaaFEaWmeZsb3Gi3L7cN+/b\n7ZVn1+e1TC+Fk0mmEI9MMsbl9jEHGSXFMrPIrAe6MMp35SaX46WPOcq5kDM3m0Oe9Zam81Bbpkoq\n32M1M0phleNann9aJdJqwq1G1nXPZd3ysNrzSbHLrHIu6Mg5dKEjtbI3zvWvvT7mLL/5ZUhcmj2P\ni2suq/u8Wq2X/rJxrRjXGrcq3m5QH0ZS16GbHttItdodjITNe0N78LxcrXlWnfMdd8Zje81G9RTq\n6LDolGGjFfd1wyfuik+KM16UawnFG8u4lrakMVfbbeswJ6G4VEBzoWcaSZ1eLCmMz6mBwuCzEvwS\nijvH3pW8ctON3CUIWHoiLs+Oz/spkz2WmIs9IX8xAltC0ouLYUQtQrcpQZ9OAZMFeAQoNbM6+ty7\nqJVCmyNYKiP5RTXbtb4rJJ/XEppn0JwBUykJSY3JOcmcs9SG2YJXLY/TN3Ko6OMXXp2mCG6D5alY\nyI39kYvkKuMRMOf2rwyCS6/oyQ/C0i71VWF3fi8qvzeVzwOslRSSs8v4YirdsZeyMrf6KJXkKFeJ\naSWvk1YTtp5Y1T336paH5Z5Pii2P/HbJVV6ahk0ebq+19BTP53n6YEKUH+Zpvqn17QdLpbhvDjxy\nWz6pdjypz9mu5aSaVpZhpSlqi61L1KFEdb1UxafcQtT12IOAit9bhr1iPCi6g+OqLXner/myOOex\nu5Kkd2aXMKsRCbt8ZHZ8x1/xolrzuqtpVwVTY5a8JSDKQq1DdSU6CwCrxZnvROzD9ehG2K4tDMFr\nvFfLFEt0msF7rl1FaScqM1LkjuhSDTg14dQew4TWein2zKOQgnvy+EhPsNsbXtmnawsMagZMBMBm\n3281t+bopWXH5OLKnFMUV0F9A8RusMx3sazb+UytIESSnjIozh3g8vxJzcxSC3hmUJ/bbY55yncA\n5e3XvgswM1Au4JjBkjzrPjPLO1nk/Dx3rbvYZPb2noV7U+mJhZwToklpRXClljHGsT72US45ypUc\nI7caWdU9l6uGh9WeR+WOR37HJ/aah2bLfd1woaely6PMrHJ5++8+Uj/e+giW3+xSKC71wGN7xaNi\nx+WqYbcSMd9xLZXxcWNw2wKzK8QzeTYSGwZS06EPwrLsweMOGntQmL2mOZS8WK15Vp7xqT/jodkt\nEz0gYDmzy7nQ87jY8qpesesKrhrL1DrG9hQsLbp1qL4QYJyy1/Np32V3VLnWzuKcIfq5yJMvztA6\nzxtbURgBTIDa9HgVJBxX7cIuC+xb1XGAQABaYm5LCajFEnZeOwV9vj4pQ1LmpIdxbv7WSyU6WY3J\nfZDaKLC5ODNOb7PMECGpd7OuU9AkHNnmHB4uBSUJzWfmmDJoykmijo+f/898/pyA5g3XgROhkGU/\nZuCbwXFmmTHeBEt4f6h9a58WkMxVb4ku3OKZI3YQdhlfDLMOQVboH5dm8xkoI2kVcLV89qdA+bjc\n8h1/zSfumkd2x31z4FyP1Eoq3yApm3mNKRA/1ATPR7D8ZpcCCYXNnu/4Kx5W93m+XgPQrjzTWjGs\nNH7l0HWJagpU3x/HH/se1Yjyud0X+INh2CumvabbOV6vpCr+ZXHOQ7vlQr+iVsfwdmaXl2bgUdzx\n2l3xqlzzql5xWHumzjC2cvKZVmVLC58VsQU01Djd7Lvse6kAI2BpCoPzemGV83Z0jp2p8DZQZrCs\n9IBTgVKPGBKGFqMnySneqo7LC0AkEJARzrvYpVaJbT7TO+3FakadgKM+HTlkkUkDMFoayLXWwqTn\n/OKca8yjf0dHzneEq6ez5jNwwsIkUXl6aGaVOX8qb+BWGC5vSp7u9puNN+9ZQHHeh1k45AQ8013A\n+q51wiLnfVjao1wGSedy2J11KMvZCiJb7WZBjDGrB80jjFM991EGXD2wrrMwRs5RngLlY3u9/Pif\nVr6BJU85pkCTBuL73s+Psz6C5Te7FPJBX+qOx/aax+WWJ6tzAJp1xbh2OXdpsXUhPZdtt/Q5xr5H\ntwKW5lDhdh6/1owHhTloDpldPikvJL9jdmxyA3hx0kq0UROXpuGxu+ZlseFlvWLbFbzpHNOsINQp\nhk5hegFMNZSoHIrPSkRzH+hSwLBir2udKPEEpwhOZTEJw2Qd167CGwGP0kxYHTOznHAq4NQgkj0a\nCuXyvrvlGEaVRCqHhnDSJjILKOgTvxqlEp1KBOWkLWdu/F7EdzXRKOw8u+0U1kkTubZaWGbOyTGO\nYKdl3A84Auf7CiE3QPQ26+SEUZ6wz/nh3GST71rvY5k/FjjKQVv2ZwbJ5RiA2KDMbNJZ8fUuHcnb\n7JljRIsyDyqMi7rVcXxxqiCsAqrOwhh1x2UtwhgPSwm9T4Hy0uy50APnGSgLZW8Uc8YU6NNIE8ON\nc+InXumnUw1XSv1HwL+EyE//PeBfTyld3fG47wM75IyZvsJ6F/htAJYAhbJc6IHH9prPiit+UF0C\n8HK9ZlxbxrVmXGv82qP3mV1mQdU0TpDBUjUd9lDg94Zhp5hWmm7leJXZ5VN/L7NLKabUaeBcVUuj\n+qUe2Jkt33FXvCzXvKlrmq6gOxPg070IDttOYzqHHgpMP75d7MnhOLCE5NpZrNX4nLec56OTNXTW\n89pIU50zAauFWUqvZcKwBTOiT6Z75mUx1JoMphNwwGRv7VlAQby25bpRiWudaDUEYxm1OY4YLqIW\nEHMYbrNfjjEa4wy6NyhnUP2EGkyek54ENOEInHPF/DSvCXcD0wnrhPxQdYt9nj6c+e63QSDFu57/\n1rf8R2VaM4vUM5vUS5FqBkhg8fNOs6e3tyd2tSar8Iu6OXAEyioDZZ2ItYwwFtXIZumjlI6HT4ot\nj4trPrESes+M8l1AGVKkTyO7OHGV/dI/yPrpMMu/DPxqNjX7U8CvAn/0HY/9p1JKL3/UJ/7Wg2Ui\nYZRmoy2XpuE77g2f1tcAPF2f8WJdMK41w1rhNxa7K9H7Yyi+MDlAtR1mV+JWTtjl/pi7fF5veFoI\nu7yv5STcqJZSjRT5hNvoIAzXXfG6WPG6rtkOBc/7rP7SasZWie1tbzC9l2JPBgwVokwZ5XAckJDc\naLQ1WKtJcxhuZwUexWAsjZGK/ksdcTpQ6NyYriJOTWh1QDOBHqjxC2AaJSIZNwGzWY6vVhGtEjZX\nSq0KWB15oxKt9ozaMRmTizyiO2mtIp3oTUarsE4q+cZpdG/QzqB6K8x6nI4KPDNwnjRzq3cVTODd\nwHWLfd75kA/NdE4Z5JwayCwSpSQfacwymTQb66VsnZy8JXojbLLQJ0CpFnMxyLnJUpSDpiyzpuuJ\nqh7YVB33ypYHpbQGAXzHX/PAbr8SKEM+IH2aaFJglxSvY7kMMHztw/NTAMuU0l86uflXERvcD7J+\nG4ClrEI5LnXLY3vNp4Ww7kere1xtasaNYdxoGX9ce9y+Oo4dThMxW4yqpkVVJXbn8RvDuFNMa8ld\nvqprnlUbviguuJ/Ffzd6oNbTIr5bYrnQPQ/Njk/dFW/KFdu64tBLdX7XWsZeoQeF6TSmt+i+yGCR\nVbJPwnFgCcmV7VAZMKNRRGNJZlbg0YyZpRxMyQsjgOZ0QJNOGOYBQ1gUiuDYVnQbMA2HhV0aIm4e\np1QRqyNGR65M4GAig3VM1hKt7M8sbgFCnqIVpmmdSKsZrzG9RruA6o2ohJ9oO6o8IjiPCjKLapxU\nn3/ikPhDrdNQ/hQc4ViNn1nkMqaZ2aQ1C0ACR5D0RthkocWBsVCLXe3s7Q3HsDtWkVQFbDVR1T0X\nVcdl2XC/OCytQYDoF5gt982By5Mc5W2g7JN8Bvs0chXhdSh5Nl0wphcf5pj96B/NA6XUb5zc/rWU\n0q/9BK/4h4H/8T1785eU5Jf+zI/y/N96sAwkQoq5Km14ZPZ8xwlYfqfa8sV6w+uNZ9ho+o3CbZyw\ny0OBatu3galpMYcSt/W4lcbtRD2oWRU8q874YXFvERy4NHs2cY/TE7XyonepA/dTz85e8dqvuapr\nrgc5y7vOMQ0a0xnGTmEGjRlyOD5Okru81bSdQoCuJxnJd2lrlvxlzPYK0SiSzsl/DTtdYXTCqihg\nqacTAdcDMN0Y9bsNmBKuS5Xc2IjJ7FIeK2G+VQLGzkR2JtKZRDSW0WbBXjfnLBFW6SB4hXUJ22ch\nXyeheRqFZQKL3qMap0WIghAWpik6mMfKs5or0e8DUPjJQfR2fnOuYJ8yx1sFpaV4M7NIrd8CyeQE\nHIEFKEOhiYViKjShUNnP+8Tbu8odDNm2VlUSdq+qnrOy53554NEiirHnk/w9uG/23NcN53p8L1A2\nuXNiFxOvQ8WzcM6z6ZwxfQCYSPw4YPnyfTlEpdRfAR7f8ac/llL6n/Nj/hjSH/c/vONp/smU0lOl\n1CPgLyul/t+U0v/xvp369oNlkrChVp5SWS5Nz+N8knxaXvHD1QXXm5pxYxk30kbk1wXqkNnl3OcI\nxGHEtB3q0OJ2niKLcky1ol073tQVX1TnPPSSE720ImNVq/HEY9xxrgMPzYFP3Ruui4qrWlqZ9n3B\nq94ydgrda2GYg0EPhShojxkQclsTwI2GdSUiEsYY/FJUOQpIAKANo/Zc64TREa0iVodj/lFFNA1z\nn+UMmjNgLorrGgwBTYch4XJfo1cTTkvhqDATPrPYnYm0xjNay5TBHDjmV70idhxB0ytMoYl9RPca\nkyeW1BDFt3yYRL0nM02V563TNN30MQ9BlNfn+2Jc/H7eav9hvvn+b+1bucxbhaIb4KjnPtJc3Qdh\nlLmVCWtIVnKUyRiSM6TCyA9KBssZJIMXNhkKsngKhCLLqpUsvt6pDJgqUFYD61IUzi+zFcSjrB70\n0O5OhDG6pY+yUPadQHmdj8urWPA8bHgy3uNJf48xfv0wXPHhwvCU0j/73tdS6g8B/yLwz6R0969k\nSulp3j5XSv068EvAe8HyA2VuP66P6+P6uN6/Zu/wr7p8rddQ6vciBZ1/OaXUvOMxK6XUZr4O/PPA\n3/iq5/7WM8sJRZOE2Yntw8hjI7+on/k3fFbf4/l6zZuNZ9xYCcXPHGafQ/G50AM3Won0ocTtHMVK\nL1JrbV3yvFrzpLgAxIPnvtmzUteUamCtyqXv8iI3yu98yXUlzHI7lrSD49AbxkFhhhyK93Zhl2o6\nhuPAMt0TB5n15pB7Fo3CW0Uy7ihLBtKQbQyD9rxRUsXWJ2egVjF/6vN5NN1gl8Y5rjQAACAASURB\nVCD5X43Ouc0Jozr5f4Aj5HakQKEnfL4UtmZrAwfn6Z0jziZtTkR7gwfjFMYrbAfRgx6ODDMMudo+\nRPRghF2OATW6rDZ+og05z2NDrpbHI9vM4bg6bRyHG2H4IqX2rqVvcYiZSXIyLnkyMbTMqs//z2hh\nkzOzdIZkNdEZktcEp4leE30u2Hg5PlNWmIqFhN2xyO6LZSKWEnYD+HKiLgc2mVXeLw488Hse+e3i\nm3M6632uAyulqbW7YW53m1W+ilIkfDad8zSzys+7C4YPwCyBn1Y1/L8ACiS0BvirKaV/Wyn1KfDf\nppR+GfgE+PX8dwv8uZTS//ZVT/ztB8tkuI6JjRZJslo7LvNJ8pl7zc9V93iyPmd7VjHsDG6vGHcG\ntylwTb0UeoCjSVTTossCu/f4nWFYKXytaGvLm6rmaSF9nA/8XvKWuqM+mRsvlOVcBzrTsrPXXBXS\n1nNV1ezXBcNgmEbNMJgcimv06NBjiZ6k+rs0P+fpnqVqvxQONEZrCce1Is2SZfl6UpZewes8mahV\numk8NVeraYGJoNONKvnSXqTBpIDLMzyeuEwIlWqk1COVGSnNRGVHrmzFzha0Vvo4J+eYnEF3mujI\nE0jkjgAJM02vMDNYjkqKP2NCjwY9xJvK42M4yqLB24IWc7vRPMt9u0/zHaH5sm4LR8wTQrfGKI/z\n6rM8nPSQyv+RH4gFJHMXQ/DZR8hLr2xYwJIFJMNyOYIkRcRUE2UpOcV12XNedJwXLQ+KA5fuwAO3\nW2TW5h7KTf6RrLWhVPZOoNynkV1MvAgVz8MGgKfjPT4fLvm8u+CL5pwpfHtah1JKv/sd9z8Ffjlf\n/x7wj/64z/21wFIp9a8Cfxz4h4BfSin9xsnffhX4N5Bmt383pfQX8/2/F/jPAIMg/X+Q7/9dwHeB\nS+CvA38wpXSiIHv3GpLlVSw4jwOFcRTKcZGrvY/N9i12OWws/ZnC7R12X6KbCtULECx2D11POjTo\nssBVjqLWohe40gxVwYtqBcAPy3vcs032KnlJrQfWFBilqfFc6I7HZsvWSYHnuqzZTQXN6Hg5zJVx\n8cjWo0GPHj8G9FzUAHQIxD7PJE+TfGmbVgQrlMIugreZyS1jh5pRWToFr2+xSzhO6kg/5EHGHvVA\niV0a1mffIc2EzsfUqBGX25Gcmij1KALEeqAyG0ozUrmK6/yeGx/ovCN4Syw0sdPEXhEyWOpBtiZ/\n0npQmCJhRtCjxgwxm39lT5tZlTwzSzVF0qIveVQDWhSCFrY5g2TevotdzuzwRrU7s8mcp1zEOU50\nNJMxYI/HNBmV27xyIc5Lh0DIQBk9C1hGnwHS5+KNT8QykYqILid8OVEV4pUDcFZ03M8geT8D5f2F\nTbZslkKOnBOnohhw0nCeQq56C1A+He8B8PlwyQ/ae3zRnPN8tybGD9SU/jt8gudvAP8K8GdO71RK\n/cPAvwb8I8CnwF9RSv2D+c//JfDPAZ8Df00p9edTSn8L+FPAn04pfVcp9V8jQPtffdUODMnydLrH\nff2MjZaex3nG9VL3N9jl7qxi3GuGvWbYG9yuwDUVqstN6eN0FNloO/ShlTai2mRVF8VUGba1MMVn\n5RmXvlnMnVYnlXGnDOs8BvlZegNAUxTsQ0EzebrRshs04+Awo0KPGj1Z9FhgpyiACTcLPrnYQ8ex\nOq41blYBApK2MhetFCCA2VJy2nl7e/Zb7muITHmah4WFzGpFJoOHS1MOxVsZq8wMs9AjtRlY2TW1\nHaisgOvWleycp/WeoXcEb4i9RvcCmrqXgoYZ5Pn1IMCpR7lPTyrbyZ54cI9ZnRwWO4fF1uFUmPc2\nYMLx9rzm67fB8fR6BsdF3u1EYDhaYZzJqmW+PrrcPjVPWs1TV+5Y4BKwlJcQsDwBSR9RZcAXE2Ux\nsi57Nr7nopCJnEvfLGzy0uy5b/dZ3bxno4PMeZ8A5F1AOTecv44lL8LZUswBFkb5fLdmvyvhW8Qs\n/36urwWWKaW/DXeOj/0+4LsppR74TaXU30WqTQB/N9NglFLfBX6fUupvA/808AfyY/57hLF+NVhG\nw5PxHp/aN1zGcWGXABda8pe/4F/xdHXBq7MVL/eOca/p98IuTVNiWgE/1fVHkY1e2KUqfWaX4r0c\nSk2XfclflCs+Ly64yOzyTIkfjkvmrXAc4GDfsCsqDqHgMHqGwdJPmmEy6FFhRgnH1S23Qx0CMaZj\nw/o0EluFViKFprXCmTzrbOawkSydphg5AuYsvzavWThDVIcaMCPEkUKlRXzjtEo+5zLn0LzMc+i1\nFk3NWotk3NoKVbyyFVeuYutKDs6Ls2Rvib0hDhrdSVdAyMzSDIowKnQGTLkoYZpTBs1JL2ApTooc\nTcMWwEzCZkJcrCLySfu2XiUcDczkTZ40mOcfojkvrGaxENkuZmknjpPSV6qOrV2OPM+fgTFvo5fX\njj4RiyNIOi8hd+1HNkXPuW+551sunOSZH7g99+xBmKQ5HNmkSneG3CBh90SgSxO7GLiOhlex4sV0\nlsPuezxpJRf/ZbtZgDJtPerunv4fe30U/717fYZ0z8/r83wfwA9v3f9PAPeBq5RyV+zNx7+1lFK/\nAvwKQPFoww/6+3zm3nBfP6PO7BKg1o6Hpucz94afK9/wxfqM67OSYW+wB2GY7lCgGynALK1EfS8C\nwW2L3ouVra8sU+VEuKCSX+qmLHlWbrjwF9xzBy5MQ61fU6i3w3GAx3ZHk16xCyX7laebLF9OhnEs\n0KNBTQo9afTkpW0GMBk4hSXFo5zbOJHadj4eR+a3fOmtJCvzXO8MmK+SIsECmFM0jDFbS1hLYMeo\nB85z2O0wN5jJfF2jpYUoTTiahWHWumdtOjZG3vPGrljZgbXr2fqS3VDQeE9XOMbBEgoBTZWZZej1\nwirVSGbdWdUtDxjpSaEXJ0WyHa0WsMwWtYvPdzh66EAGx3QEydtr0eacb+ubYLnY7OYRz3iyPQXL\nNANmZpMLaPp03BYZPXxE+XgDJFd+4Ny3nPuOc9dyzzZcZmc9iWQOC5usVWCjFaWyb4XccATKJo7s\nUuQqWl6Hegm9n/QClF+2krN8sV9xyEBpt/rDgeVvd2b5ozSA3vXf7rgvcXerUnrP4+9cudv+1wCq\n3/1p+mFzj5/z93lsrjnXHVYfq7rneuKx2fIPFC/5cnXGy7MVXx48w8EJu2ws5iD5NdtW6L4njNKo\nHocR1bTofYErLUWll9EzgFA5rsqaH/p7nNmec9Nma9q3w3GASz3QmGsORUET/RKOvxk1w6hQk0ZP\nChUMapIYTYWIjjkHNxd9pnn/8gHVR5eU5QNVCpYxNQVJZRtceJWOYBmTFsFfVBYBVozpQKBjVAOb\nnAu9DZiikalwKUjBJwrLXEVhmLNy+wycb2zN1lVc+5KtL9kPBc3gjqA55J7DQRNHTRhk0ilMwizV\nOIMkqAyYcMIsgxLQnG1qZ7CcBRxug+U7WM4yBr2kNU7tdAUso+FEaQnZ3hjxzGBpZlaZSHkbfSK5\nBD6ifZ6K8hOFn6gySG5cz5lvuXAt91zDPSs/xBdGmOWFbtjobmGT5R39kyAh97xtciHnOjqehzUv\nwhlPxwue9ec86S54djjj1UEirMOuhK3DbjV+qz4MWP54Tek/k+srwfKrGkDfsT4Hfv7k9s8BT/P1\nu+5/CVwopWxml6ePf++KQfP5/oIfVJf8vH/FQ9NS5wbqWnlq5XlgWn7eveLL8pxn6w3XZxX9wTAc\nDP3BYPcCTLqp0V2PHgZid6JKtD+gC38EzMwsQ6Xoi4IXxZrP/QUXruFMt6zU8FY4DiLX35uWLr3h\nUBS0wdEFxxgMu0kzTg4dVGZPWaItFLiQ0LM9QUo3KuRxAJ2ZK0hDtV3YpQdMZlI5h5ksfYLXGSxD\nFkoYo8nGZYbRWQFN3ROYWKl4Q+vwNDSf/80ss1SBlRpZKYmrN7plo1vOzYrrUN0Azf1YsB8K2tHR\njdnHvLeEyRCHzDgnhRqVAOaUmWW+DqBiBtDAAppHy1qVt5yAJT8Ss1wyFfm6OESSwVJylzNQzsCY\nDTMzq0wCmi5lsEzghEFaG/HFSOHkTVR+ZO0GVq7n3HdsbMc913BuWs4zSF6YA5v8OW/UyEpHanVk\nk7PAMwiTjCT6ZSJnYpcUV7HgRdhI6D3c49lwxtP2nGeHM94cKtpdnqfcWdxWptf8dfpgzPK3PVj+\nhOvPA39OKfWfIgWe3wP8n8jv9e/Jle8nSBHoD6SUklLqf0eG3r8L/CHgXaz15gqKl7sVv7W65LPi\nAQ/Nlo2W8LRIdhmDfGz2/Jx/zRerc16erfm8cQxZ6Hdxd2xLVFeLt3ee7EnDIMWefYMtHb40R2ZZ\nakJhaMqSp8UZa9ezMR0b01Kr1zh6znS5nMQFjksdGcyezr2iKT1t9PTBMk2GdlLZL1uhclJdRYeK\nCRsjOhcndIzEgSNgdv2RsithmcsHm5zcSiBe4AKYQ65wXkVFiIopavpo6EpHlxyddXR2y5gaRj0S\nmG0rDAU3iwcaJdqeaaRMIYuLzBYFwjLPTMd5KBfQvHYV26lk50v2k+RwAZrS0Q2OYTLCOCdNHA0x\nM29ywUdlZqkiGSzVETBPQHIGyoVJzlXZu3xw4QiUM7OU35gFMEWr8+S6QaTpMmACJCvgmGwCG1Eu\nYlzEuYBzE6WbqN1I7eSYrl3PxvZsXMe5bReQ3JiWC91wpjvRIcjHdKUVhXp3brJPE32aOOT2qOto\nMlCe8Xw644vhgqf9OV+2Z3zZrLna13S7ArXLUcROLUBZbBM6fH2U+5ATPN/U+rqtQ78f+M+Bh8D/\nqpT6v1NK/0JK6W8qpf4n4G8hc3X/TkoSEyil/gjwF5EY8c+mlP5mfro/CnxXKfXvA/8X8N/9SPsQ\noL0uebo+5/vVAz51b7jMv8BrNS3s8lILu3xRbni+3nB1XrI7WIaDpZt9wxuHbmpMNxy9vZdizwHt\nHa6wFLMIa24i7grHG7/iiR84cx3npsnscovLzeqQbSi04z4DfdrSeUcfHW1w9JPl2aQZQw7DQwaD\noFHRQUjYiAAmoGneAky5Px8XwN6o+hpU0hlI5HUAxqi4jpopGMZoFg/xsTAMOY85sGfMYLlR0pNZ\nYm+xTDJohsww5Yu6Sj0rNeWwsVxAc2crrqeavSvYThXbSRqim8mzHwu6ydFNln60ApyjIUyGNGnC\npGQIHgFJJiW5yRkwEyehuHoLLN/XxrIA5W2w1GkBSRawTJlZJpJJYPKT2oR2AWMSNgNkYQOFnVg5\n6RRYu56Vza1AtmNtes6thNcXpmGjW850R61HVmqiVlDOP7rZ9uF2bvK0JeiQQ26AV7HmxXTGi+mM\nL4ZzvujP+bLd8LJZcb2vGHYevbO4Xc577xR+m/DbRLENSzHt6y71FWOmP+vr61bDfx349Xf87U8C\nf/KO+/8C8BfuuP97HCvmP/JSAcyV5eVmxQ/qe3xWPOCREaGLC71dTqxz7XlsDvy8e83z+owXmzXN\nRcHQaGwrJ2HfGGxToE/ZZZ7wiW2Hdg3GO3yR5f1LRcgqMX3peV6sWbmBje1y7jJbO2RldZFyc6xV\n4oEZGHhD5x1ddPTBMkbNi6gZQ4EKeVY6KFQ0qODzONhsnJXQcAMwgSPLzI+z5P8THCpaVBTAZO6d\ni4Ypwi4oQtSMwdAFSxs9jS/okhemmT2lO91xwcSo4lss8zQ0d1lLslCBUkXqeATNC12wjSUXpmEX\nSnauZB/kB2U/SXvVYSpoJid53cnRB0M/WsZgmCZDyGAZgiYFRQwagpLLDJKn2/l7mt/3adHneDLl\nc/GEBkmucgZJaatKJsl1k1AmoUzEmISxWcbORpwJOBvEI8mOFFbM5VZmYGV7zuyxCLY2nYCjkeGG\nu0CyOPHFOQ254W02uYua61jyKko/8IvpjC/Hc54PG77oznnRrXm5X7E/lEw7h9kb3E7j5GsjQLlL\n+G3AX48fBix/J+QsP66P6+P6uD7E+h0dhv8sLD2Bu9Z0GwnFf6t6wKdZdeihObDREgaLkvkooXix\n4cvVGVdnFS8PjmF2X2wUrrWYrsJ2A3ociNnbW8zNGvH0LiW88YWoxMRCEwtD4yqeujNqO7AxHSs9\nUKoJn4sd97KPtyi7R8bUM7pXDMnQR8sQDVMwvA6KIc/pzkxQQmgHKWFTWgoUGpYJH+CtHKYCTDq2\n0Nxgl8z5PcM0KQ5BEYJmCIYuONrK0UdL4z0HK/vTmS2dafI43dshOXAjRBxTwBEoTGCVIpvUc1Aj\nG91xSA2NEZbZ5Pe7sxVN9NJeFaQI1obMMIMw8H6yDJl5j0HYcAiaEDQxiKVviooUsgd6ZpdATj7O\n1+84oZYwPB1v64RaLqB1ROmEMRFjhEVaExdrj8JOFGainMdAzcjK9mJZbAbWpqPWA2c5t17rmU0K\n+y5VWBily0pWt9kkHFuCpNp9DL2vYsWrsObFJK1AX47nfDmc8azd8LJd86apaPYFce+wWxkBdjtw\nO3nPRWaVbjtgtv1xDv/rro9g+c0uFaC4gmltebVe8/36ksfFQ4Bc7HmzzGxvtOeh7vlF/5KX9YZX\nmxX7tqDPTemmNdjWYFqPbmt0VvG+K3cJ4PMIX/BZAMFZrouaJ/6clZURwFIPFOo1wI2CT4Xn0iQi\nDaN7TZc8Y8o5w6C5zmA2RC/glnQuVnhI8sHNJQoJx7Og72nRJ4oToUoJHRMuh+YzYMrxU7kCrxmD\no5s002gYJkMfLG1wMnXkBcwOruBR2tKZPZ3u2KQpV2YNDvNWwWEpAGEENHNYvkpiK9zpjovYcEhS\n4DmYgiYWHKJsm+jlEjxt8At4zuIOczfBEI2AZlJMwRCipBXE/1wtI3sp+6GndxR4lErZGj0tt7UW\nDyKjEtaI8LHREadzuK3FMG4Gy8rIvLzXk4yCngDk3FZVq2N7VakmaiV53vJW2P0ukIykpSWoSYnD\nSej9alrzcjrjy/EMgOf9hi/bDa/bmutDRbf3qL3F7XUu5iBh905A0e8CdjdityJX+M7R0B9zfWSW\n3/DSIVFcJca1otl4nq7P+M3yAQCPnKhDb1TPPVOLmrqZ+DRd87uKF7xci8f3562An+QvFba12K7E\ndeNiKHY7dwnivOhn0dYsktB5zwu7prQTKzNktiDM0qstWvU3GtYvdc9g9gzuxdK6MyVNyF/mXVQM\n0UHUcpFnAt4GTLiZw1z6MCEDZsTm6RYV5D2roHPvokJNinFSTJPiOiiGydJNlmYSoAIycArTbIyM\n2Z2nnk5P1CoseUyd9+y0AOSUYUw5h5kCXQqMaaJTE10S4Gh0S5csh1jQJUeTt4dY0EdHE73keGNu\nNYo2s3IrXQVJM+TtFDUh6RtTSyEfw5ib80/XcixPZumVSqIMnwWQvc7ixzqK2pIW9aVCH73bCz1R\nm15AUPeUemSVc9hzLntmkACFAq+kwj0PAdwFkqd9k32a6FJklxS76Bc2+Xpa8+V4zothw/NeXE5f\ntGuumkpylAeH3hvsXi2M0u8Sfh/xW9l/uxswuw61b2Xw4QOB5Udm+U2vECnfBIa1ZdwYrtc1369F\nnPeTYssju+VCP6NQA7WWyvjDXBl/Xa55uVmz64Q1XbWGoXPZVMyh2wo7jG+H4weZpBDVckvhNcF5\nYZheM7iSL/2Gyo5UZqCcp2HUhFPNzYZ1XfCQjsiWEXNkl/lL/SQp9lExJItaSrFwF2ACbxV94pCB\nMskkkE4yO62WCRiXxwd1bvpWjJNhGhWHUarQ3WhpJwHXXSkFmL0v2dmSS5sFHJKM3NVK+jLdSbvU\n6RdfwnNhoE4FQkrUBPrc5rJJA30a6HRPlwxdslJgSo4u5mJTlNsAfXSMydDlbZ+nkaZoiCjGaIhJ\nMc7CIRk8AeKtWQi9CCSnRZLOqIRGPIhcFlKeJeqcDhRZTEQk6+RzLpV85qfKTHI95EvCcaxuu+zn\nLqWxu0FyTIExF82aGGgSHJLlKpZchZrXOex+PpzxcljzolvzKkdM26akPRSkg8XuMlAeJOyeGaXb\nT9hd7qjY96iDAGVqO9KHMCt6zyDAt2V968FShYi/GinXmmmtOaw8z2rJ1XyveiAaf7n3cu67PNee\nz8yeK/+Cl6s1V4OMOzadp++M+ON0BtMV6L5GZ5uDORyf23SUbVDeYb0AZnSW6EWa6+AqnphzSiMC\nE0CujstMtVFqGU3baE9kIHCVmZBevsgpKZ4kxSFV9MmRk2j53Z8A5okf9u22ojREYkyLGo80uAsw\n+JjQo0UHK6A5zeIVmmlUDIPmajT0o4BTM0r+cDeVXPuKnS/ZmepEzKGl0dMyGDAD523QnCvngYjD\nLK1GAgyRkciQAn0aGJJmRGfwzOCYwXJMlmEByzy2mXJTfZJRznk6Cbh5/VYofnSwjAtwztfF+G0G\nymnZ+nxfqYelA6DUI55AqSacipQq4BQ4ZBzVnTBIeLu6DTdD7TH/mBxy680u2cwma67CihfThpfj\nhhfDmlf9ilfdiqum4tAICRgPDnWwuIP0T7oDuH3C7xNuF3C7EbsfUIcsKLNvBCi7XtI7H4AR/o7v\ns/yZWCFir1uKtRV/8JWhWQn4/XB1waPiIQ/tjo1+QqF6zlWViz0Tv2DfcFXUvFpJuHJ1XvG0t/Rt\ngekUtreYvsIPYiimQyB23bFNp+3QzorNQ5bjCm5Wm7Fcu5of2HuUJodn+UvmeYFRA+f6ZjvRQz0Q\n7RtiFrYACElGEZ8mkevtOQFMBeBBsUztzJYIWnfCgudZ8qxWJLqPQfKZIGxzLNAhg+aoGfPEjB4U\n0yiXQx5HHAZDOzh2VcGuLNhOJQ/9nutQ88Bu2ZqjqAiwAGeZQ/Tbec05RJ9HMy2GQiUicQHOQGJM\nEyMTY+oX8AQYk2ZMhgFzCygtIf8tcExrAHJ832HvajJoa47M0iD2HF4FdNbzdGpa7DbkM424WSBZ\nRRwJl8NrhxRqZhviu8BxOZ1PQHIOtbsETTLsovw4CkjWvAprXo4bXo0rXvZrXvc1r9uafVvQNZ50\nkK+32RvcQWEzSLo9+EPEbSfsYcLsevShXSyhU9MS+14cRuOHGt/hptrTt3B9+8EyRvT1gaL2TCvN\nuDJMK3lbL+oN3ysf8MiL3t9GvVqsa9e64IFp+QX3mtd1BstRnBivWkPfuyxQ69B9jc2GYotdLYic\n26EBbTDWUDhDdIVoGBpN5zyv7Yrvz1VSLf41pR5w6g2aIUusGWotX4TAQOD1CfvRS+j4jDsAE0D5\nRSXHZJ1L5guciG8MLGK4ix6k6Ge6KaJGjx5dVj8SNSABTc2UhS7GQXM1WLrBcRg8u7Lkuqx44Guu\nfcU9exDx2XmOOQNnfQKaTullFPQ2cJyC5ylwhjQD6BE85XjBmIWEhszIxzzjLkpK8/Xj8ZT/d3eB\n59SrSG7HGz7qJnuoOyJGJRwJk1njImaCKEKZPNn0rvD6dI0p3PiB6FJcQu1d9OxixVXIItKh5vW0\n5tW44sWw5nW/4qqruG5L2tYTDg7VCEACuH0GykNmk/scdu8H9KFHNR2p6UhZqjCdqG99yPWRWX7D\nK6VI2h8w1yXFyjGsNFMtJ2WzKnhSn/P/FY94YHeLAIHV8kW91J5P7Y6tfw7Am9WKq6Gi7R1Dn0Px\nXmN6jx5qzDihx4kQZpXuPDu+uC5aCqeJ1hGtqGT3tuCFETB2Rky+ysxKNG8w9Kx1sbQUXWqAgcCr\nO9/vApgq61ZqvSjhAHglGrR6VvPWWtwhZ+m5aSLFtDBLci5TTSHraMas2m6ygrvYX+g+qxQNiqnX\ntL1h6B1t7diPnm1RclVUXPqaN27FvVkhJwOnjOx1JywzLK0xLreyA3eE6iDWabK/p+AJyHUSMSXZ\nkggpEBAADTcV2W4w9ruWmUPxk9hTA3kcHEP+QQLMCShq9AKWMzjO7+GuNTNI4Eao3aVElxRNdByS\nW0ByBkiAV+OK1+OKN33NVS8geWg9Y+NRrcHuNbZR2Owc4vZJQu9DxO0Dbj9hDhJ2qwySqe0Wk7zF\nZgVQ1i6jt19rfWxK/xlYCVE135a42lPVhqnO44grw3W14gfVJQ/9nku7Z6OfLX45hbI81BONFXHe\nq6LmelOxHwp+OFj6vhSfnN5g+hLVB/Qg4ThAbBrJYbYdaI02BpdVskWFRsRhByPTKV+aKNXUJe81\nYdQWTgET6cGM2cYBXt1gQVolvlBwUBWDslmUVi96jMl4MAqbXQe1UiSliL1aBIQF5OcwfFYfn8TS\nYixRY4EePHqwmEEz9HoBSzMoTKeYOkXoNfvO0NcSlm/LktdFzWXRcOmFBc3AKSN83VtjfEUOb4u5\n2IFZwOc2cALHkD0fkpCLDzGDqNx3cj1/Q+MJSwpf8c01J/OOembsHIFQ9kfdAPjTfbxrLft5kocc\n05ynTUuofUiWJkrv6QyUb6YVb8aa16NM5LzpxV75ui1pOs/QOlJjMY3GNEr6hQ9gDzkvfchs8jBh\nDqMAZdORmnYByTiMN0NupVDWobyD7sOI//40CjxKqT8O/JvAbHb+7+WpwduPu9Ox4X3r2w+WQOx7\n1G6PKTy+cpQrAadxpZlqx7N6w98rHnLfHTK7fIM7Ccc/yeK8v+hfsosV12cVh8Hzsjf0g0MPGjNY\n9FDhsjUrcCOHmdqWZDTaCmCWTmeRBS2WA0CrK55ki1qnQvbFSRi7RZ9oYFb4zDABeuDlLSvbxFOV\n2OuKXrvFSgIgaUPSikKL5YTWWVHdGAHN+Usxi95OI7RZ0SiDphkn+WEYPWZw8mMx5Bxhr3J6Qhjm\nVCvGXjN2lq5yksfMoAlw4Vu52IZ77sC5aTnTLRvTstFdnqEPJ200Ief51A3W+S5AegtEAdQRnEAA\n6q6oO3Lz2zuD3+2lT/7z+wDx9prZ48yEZ4CcwbHLKYE+WQ65PWoXK3a5wn091byZaq7HagFIgG1X\n0HQFfQZJ3eaWt4PCNWCbhDskXCOfsT2csMmmv8Umx7dDbqVQ3qOLAqoSMGkdjwAAIABJREFUxm8P\nWOb1p1NK//E790Mpw7sdG965vv1gqVjYnd4dcG8Kylre1lg5QqVpq4oflBfcKx5xafec6Y5SddzP\n4fh5zhd+ZvY0/jnXdc3uvKAbLfthje6FYZnRoaYVdlExD0sOc+nBNEaMxIwm6ZJolEh6AUlbDqbi\niY5YHRcTMcmP7cH0NwATyKDZQw7LtZJcmVKngOmPhmWzl7h2eKNwRmOMzj7WGt12i7ix/IdjaC7h\nuPwYSAdAieoLdO/QQ1Zm6g1jrxg7YZgLy6w0Y20YS0dberaVVGKvy5LXvubMrzh3Gy5csyjrLICp\ne+rcoH0KnnMlWSPtNSY3t5+C2rtygTfyoO88eT6Ma+Epa5TtzRzrSGJIiTEDZJ+s9JLmRvxdrAQo\nQ8l1qLmeKrZTxdVYcTVUbPuSfe9pOnn80DlSa9CtEZBsFKaVnKRtwDURd4jYJs+qH0bJTbY9tBko\nO+kbPg25yTqw2jtUWaCqirSuSdsPFYb/zMThv8Qdjg2I8M871wcy1/i4Pq6P6+N6//oxfMMfKKV+\n4+TyKz/mS/0RpdT/o5T6s0qpe3f8/TPedmx4pzPDvL71zFIpkYWRyvQBfS2hOEBVa6baMlWGq2rF\nb5b3uXRz/uzp0ko0V6IfEOjSFdvyGdehYj8WfK+39EOdq8NGcnk5d2SmIKH4Pp40rCupjpvMLmfn\nP8gmV46trvmhSjl3GaRdxYO+xS6BJSTX9BheYnJVVhqlI09UYqsTQ34PaXlNKTQlq3FWY3IRain6\nzMn8kzxmGuZwPED2LzfDiB5KTC/Pb3qH6Qy204ydZuwQdlkpQpsZZmUY81RUWxZclyN1MbApejZu\nvaiAiyxZu6juAKzySOA86VKqgOPYq+gz05xziE5pdLpZXJHtTxY637XeCunhrfzoXGQCbjDJMVfn\n5wb7eTJpZpMA+1DK+TYVXI3iALodxIJj3xV0vWPsLKnNgtCdhN2mVdgW7Bx6t2lhlKaZMI18xqoR\nVpm6jtQPb1e7lUIZgyqyHkFZoOqatK6I65L0xQfiVD86sXyZUvrH3/XH97k3IL5dfyK/2p8A/hPg\nD99+ip9k7771YInRKONJfU/setR+j76SL3ZROcZKi9FY5fmiPOPvFI+456QXsFavcAwLWK5VwUPT\n8ovuJbuy4rApaEbPk9HQD2U2zjLoSXJHRbatVSFKC9FcHddaFMu1Fu8Wk4Es5xOTdlyrFb+VQ3GQ\nvj7jI9AsgAksIbnWGhgwvELn0N3qgFWRJybyJmspDsaTjMlFJkjGEG2BNxprNcqKI2TqsnWuUsdw\n7K6QfJT5eD3I/rjeYzqP6U5As4WpRgCzVEy1IpS5RacyHApLV3n2RcEbP1L7FWvfc+a7RfR2bSQM\n35iOteluAOZqkbsLC3j6k35Ip+6qUqtjUSbdznO+Q/j3ZIWTkPGuYpFU3mFIsh2TtC4BeRJL0yXL\nmMPtLnoO0ed592IRCgFEBHkUEeTdUHAYPE3v6TvH1BvoxHfddkfBF9ORgTJh24RrI7aJ2MOEbkZ0\n06Py8ETqekm9vCP0Vs4e85OAqiviqiJsCsYzR7Jffby+an3IpvQf1b1BKfXfAP/LHX96n5PDO9e3\nHyy1Qdf10Tfn0KKdaC+6wlNVhql0hFLTliW/VdzLAr0nfjknqt/n2vOp6Wn8c5q64BA87eh4ORr6\nyS2WtQB6rPCTuC8S47E63vXi66011miKpfiicm5R02nHG7UWl9VTX2//nBkwgYVlFkhbkWFAq9c3\nJkqsDtjcy/lKrxhNQTJW8qX2aMfqncY5YZhqnz96o6UZWekj2zhlmWN2CxtllE8PBaqf0BkwbWux\ntWFqNWMFUwW2PfUpSoRCEypDW1i60rP3Ycllzorha5fB0vY3FHrEk7xfZqznEUKfC0K3m8Jl2ibn\ngrnZ8nO63gWY4VZebW5Bkr/ldqSTXs7bTfHAjdHM05n2XSgXYZIZHAEOo5fJqN7TD5Yxu1+q3mDa\nXFBrBSAhg2R7BEnTCkiadkS3o+QmOwFHkOjhrULOzCa9RxUFqq5ItYBlXJVMm4LxzNKfG+KHQIlZ\nh/Xv81JKfSel9EW++fsRu+7b669xh2PDVz33tx4sk9Wos7X45hwOSzgOLCF5VWlCaQilYVvW/GZ5\nyYVrOTeHbF+bFat1KWIbOvHzdktXPGMXSg4Xnn4y7Ma1TLlk4Vk9OdRU42IUy9qUiG0roD23E2Vf\nb/kPkJQXYNKaXnleqfVb7yn4l0QE8DE9NTJHXqscCqsRw5vs3y0XrzN46MhLG2ltSbSWZDXJKoLT\nRGuJTuGcxriczHcWZW1O+uu3WWYQ5qxmVaNhFGHkvpDiT+sxrcVWFlsZplozlQKaAFOpCBWExiw2\nHGMZGb2jKQLXPlAUI2X2o5nBs7ZyqczI2vRUZsyWuwNFBk0gz2VPy1SNQwzUpIn8ZkM5nDad3/3F\nXQQ3uLmNSTNgZJsEioc8MbSMYGZl8i65BSBntaRD8BwmMalrJ0czin0GQDc4UYLvDfQG1QuLND0Z\nLAUcZ7B0bcJ2GSSbcBMk+0FYZD8c+yZvT+JkNqm8R5Ulqi5Jq4q4yuORZ57hzDJsNMOZWryFvvb6\n6dR3/kOl1D+WX+37wL8FoJT6FGkR+uWU0vQex4Z3rt8GYKmI5yuxsR1G0jgcZ7f3e8xrR1FaprKU\nL2vpeF6c8XfcwJltWemBQj0DWCwgau2X/OWh/GJxYvzeZOimFXrMQDNpUTAPNTZEVG72jn1/bCdS\napnbtkpRKgXKSUM5mh7PK46AGZMSTuTne/Zc6mMfZq09JimZ/uFanBXVcFS8MROFnfjSBva2ondO\nJoqcurF1Po8XOiOA6RxYC/0grCSEpcUojcNSPVchoIZBwvN+wJQFuvMCmpXFNpaQUx/A4oYZ5m2h\niIUozMfCMhSRwXsO2enw2gecCxROAHRWGq/tQGlGCh2ozHBD4afUI0UWs1h+PNS0jCaegiXM8953\n97HEnPMMJ5M+MgWURyczk5zn0LvopLp9ooQ0RLtIyXWTo82XbrJ0o2UcbXa0zOmB3qAGJQMQg+SA\n9YCE2l1atraTfbZtlJxkN6HbEfoB1Q0ygTOMy5jraceDfHi32GRZZJAsCeuCcZPVt84M/UYxnimG\nMz4Ms+SnM8GTUvqD77j/KfDLJ7fvdGx43/rWg2W0ivGyxncjehgJ1ycWC4cWbS2u9FSFIRSeqdS0\nRcHnxTkb/4hz2y7FhVKd9F8q6b/s3EsOpafdiPDsb42GLtMmNelsX1ugYsLEKO1Es/blNBGbZmk5\n0ErhNKBqknLIfPdNwFyYzTzu6J8T7I4bjevKobXG0OPVdmFWIEyrMiOFmfjCBK5dzeA80Zplbn3W\n3wTwXmO9xTgroNl2JGtl/098iOZjmvpAmkc//SjA2fkFNE3hCJXDzj5FpTDKGSinEkKhCCXERQdU\ngBNg8JHBJRofMC7e8LDxdsLPU1B53t6bCT/LpJlpKZrZ3Ms6pytOhTHks5jHGeX+08b/mPRbwhtj\nmtWLJNweomWMhv7/Z+9dYiRb0/Ws57+uW0RkVlbVrtq1u5u20QFZBhlhyQIhEDcB8gSDZAMTQEKy\nzIghHjBAHnnCiAHyEQNgADKSdQAJGYGQEAhhpIOAg+Vz+vRl36uyblmZcVn39f8Mvn+tiKyqvbtP\n793dp7rrl1IRmZWVFRUZ6433+773e98g92fDZIAhGJrB0U+GYTS3w9d6A4PkpJu0Qqp7KbV1L90X\n04LpogBkFzFtxDYTpk363nZAt+MRJGc2eQqSr8t0tBFJkPdQ5AKUZU5Y5YwrJ0xyJf/nfqPoN4ph\nHRnOAthvKVbiNzmD54/DCQbaew7TVtiul3K8lj2vOPTE/QGdZXhvKXLNlFlxNfclH/sL1q5jleob\nGSTU3DM69S9zHpmGwT+ljSmJcbR8mda/ujFDBY2eDGrKyKeImQI6REKIt/SXAFqrpBlUaePGMqdf\ndXhexhUSr6OW/teUTDUms+M+LWvtF7eilc7QqkdT407AMtMDhRYm9sSNvLQVnc0IXlyRQrKSA5i8\nwnuNywx2b9EHh6od1Kk8fxtLOelpxr6/BZoq86jaEZObvMkdIbNMhfh+LqCZKYJPwJlBcOlNIlME\nB9EZJh8ZXaR1gb0NaJecyd2E0cmo1kq/9tSI1+qAnQdgOiwWa3C0XIM3S/FT67Z5HTJEiQoOURIw\nx5gC3ZLZ8JByi8bk2A4sGUFzMiUpmVL1Cjso9AC6k1tIANkLQJouAWUXMG3EdBO6lVJbdfIXVDcc\ny+3XmeQpSCbdpLDJE+1kkQmbrDzD2km5vZKSG2BYw7COjGcTZtMv2ULf+LzbWPnug2W00NzV2CZD\nNyt01y/Tvth1UhJvd2hnyXIrw4bMMHnLq2zND52Y9MIMll/gVMsdXcj+uMkYaGjjJV15DBYDeDqd\n0U1ZChWzqJCThYBJ/pHhkAA7GW+EgwwbtFapyi5ZABNNFz2v4pqQLkpgMa4dvCVwTeDoVuSUkQGQ\n6XGp7+p5mUxmpd9X2p7cjjz3FXtf0GeO4MXdHRK7SwzPZVKeG2/l4mo8tK2U5q/3v1JPc5Yaxb5H\n2S6VeB6VpEMq9xjvMLklZBaXGXn+cwHsyccFOEHAO3hSuwCCjwRrCC4SbGRykd7Ehe0oG9AmonVA\np5gHY0S4r3XAaBmezeCqOILk2/qW8/MdTz6fgibGY2RwCDrFWChCSIFpo14SJ5nUkndu57zzQZij\nHgUYdQ+mT4+jRxhkHzFtwHQB3U2YbkJ1AyqZUNPNv4PhzXL79Q0c61BOLu+55CaxyanyjCvPsDYC\nkmvFsBYmCTBsImE9km86LtYHXplvByzfG2n8ik+0keaeuJubpiRrB3Sa3C6GvU1DvJFSM88Mk8+Y\nMk3tHZd+ww+cfH9lZ7nKJW6xc3Pc05HBbumzx7TRLr2pcTK8mDRdcJJlMxlUKPBBcm80LBpMEOBc\nABNpS6pYoKJLsRHys65jtbCcMRx7ZDJ9vWEyHWc6kin7mrQIvBrI1KtFclPqnpXtqdw5l27k2hcM\nLiOknmWY2V6uU3mscbnFZhadeXTtpDRPw4jYJjZz2tNMoLmU532/XKi0HuUdxju0d8TMYjNH8GZJ\nxgyZYpqZZQLv4BJgzvfN/DXJ6J6HDtFEgoVg4q3URelwxGN+zlxlqygylhMF9PHFdBI9MX8pRenG\nMGf5zAmSSmJ4J4nmMKMikVcBx1GhBgFHPcwfUYByEKA0Q2oNdAHdJZAcJnQ7ovoxDdOGk2l2eh31\nvTzfbwPJuSfpHcy6ySIXNll6ppVnqCzDytCvVAJKGFbCJAH0emCzavlgvefD8oZPzPAzX49fd36j\no3D/OBxlI929gG01tpVy3KXJrR5Gpt3u2DvcOpx35E4zec/kNY3P+MKdA8ggQfdJ0/ccQ8tKHwc+\nE9cy+VzNjXwpv66nNcxBYNFCyMlS7o0Apkzn4zjeBsyUi0MsIbo5b5U+eLbhGIMwJabZRkvrPT0v\nGeg409MxomKelEeFY8Cr7QKYa9NSmY7S9ly6DS98RZ0upC7Jqub+oZTJGpdr3MFicouuvUxaAeXc\nMml9HTSJ07Gn2c8lYEd0YsignHzgLDpzGG+J3hK8ISxtgeQLms2+oKReK8mcJJXpCSyDUQt4hpTj\nveR6p6xv1Ekih4rHUDJObuPJbWQBThWBIBis5pjdKNlPc065HmXvOfkdC0COAo5qBDMD5RDRQ0T3\nEdMHdJ/6p8OUTFoSQPaJOQ5DWnaQ5zkO6R+YbfaWi+A1kHReepJp5TSUmZTcKwHJodL0qxOQXAuT\nzNbyO76zrnlQ7vlOec138yv+d/0tgOV716Ff/fF2hPsdbZtjGo3pMnTKHjHDiE5AGbuOuNujrRXf\nSa+ZvCVaQ+NlYPOJuyOSFZNE0IjnZKk9K5URdMvgXjLEtHue+lc/iopdWJ0kJzpUBJ/YpU7vqKGu\n3wRMwIWZYfqTXG9hcodJ8XlQ9EECxIYyuYG7lwymJuh2GfwAy/BHBlUNpR4oVcfayMbM2nasfMdT\nL27yN1nO4DOmzDAWsokz5gqfK8ZC4wqL3VtMKqtn4FTtUZ4i/6fxeBGHiTgPhEYlGUZ9L3ZfzoKV\n6buylpg5tLPEJGWy3hKcIXpxbDpO8GfNKMstJJC0sh0VkqgyLICpJMwxASbIbVwSHF97MZ0A5jFn\nnCVjXIX0MZ3cTqDHuIAmyOd6EoDU4wyQId0P6H5CDZOwR4DkxM8wLgwyJm3rvCTwVhNebQQknX0D\nJEPhmUp5Ax0ry7gy9JVmqFLJXcG4ioybCb0SJnlvJW/qH5Zbvldc8VH2iu+6l4tM65scEaW/22j5\nzoNlbkY+uLvlsrG0bXLIaQX88m4Sics0Sf+yaSCt/WXeEHxBcIYplaQ7W/Fje080fUu2yn6JgNjo\nnImGwYn70xxdMEbDT4LmECu5eqMGHMQSz3EBX/MWwAwRHRPDDAjQBiMsBgnkakLJ4zRA6IJNRgyO\nwb2gN3vu0i5mIHMvUyOieK8GcnW9bMSc2ZpzV7NxMnR6km14mZccipy+cIS5n1gIWI6FwhUaW8tL\nxe0duvboNjuC5jAs2yFvlIdzmZ4AVXVKQDJd5DQ2gaiAMVakTLikEXVGwDMBZ0wi+5jMSeR+Ypjz\n7cIsObLMW2CpbgOl4jWgjMvnbwDlApgCiLdu51yjMYHkGFBDQM23w4SagXGaIFVAcZxuA+QU0nP4\nJoOUW30bJLMM5T0x98IiS89UWMYqxQXPTLJSjFUa3qwCcTVSrDvurGruFwe+U0qE9KPsmu/4l3zk\nXnHfHHBfIbP6I5/3GTzvz/vz/rw/P/28Z5a/4lPont86f86h8+y7DaYz2C5lj3Qlvh+kFE/DnnCo\nUUbLsMcZJpcRUgkYneOlXfOHdhStoh7wfI6huSUnClZY2cRzhsIuGryPI9RUqGgkiTE6oFz05fMk\nPOwPR3YZRQat4pzrXSahexK+TzI4GqaCy0knPZ+lrjxt7jj4l3Txhj6tR57riUL5pY/poiFTPbmq\nqdTARrecG7FJA/GbfOzPeJqtuM5Kutwz7Wdhuex5D2VcIgrG0uAOFns4YZhtL8zmdEqbYiuWniak\n8jx9TWlUJ27uylpUMhthLtO1FtY0G4Ak5/loDCRTZUiWdHY2D1FppTR9fXaQn0tx5hJcHe+fnKX0\njvHkfmKSMabye64AhD2qEFFjCoMbTwyVx/T5KGoBNU5yf2aQc+sCEhv/CjYJS0+S9BwpaxfVAZkn\nZn4pu6fCMpbSlxyqJAWqFMMKxioyriKhmnCrnvWq4V5Z86i64cPsho8yMcH+yL3iobnhvmk40wr7\nDY1I5ufxN7pnqZT6i8B/CPwp4M/FGH83ff37wO8DP0jf+ndijH8l/dmfBf4zoEAU9P9ejDEqpS6A\nvwl8H1lT+ksxxlc/7THkauBPr56w7Qv+Xuto2xLTJUPYzqH7FW6Og9gfjvvjdos1hsJpgp1LOk1t\nPJf2DG8mvB7JVY9TjzGq5Y7OccpwR+fp2WuZuJRQsfTxSVQ0sRRNE6kcR4xw55JcI4L5RYdZ1ye5\n3gFChUo53aLh1OjR0I05L0bNMIoAupnEmKH1njY9VYNpONdh6WPO8iKnxyQpumKtxUcS4MyIMe/G\nn/PUb3iRl+zynCH3jIVlLBUugSbAeIgMpcJVBlsLaJo2Qze5DIGSxEUNR6nRG+X5PAwKHKfoaX8e\nY1BKHct0Y6Q3Z6U/hxXXJG0TuM7myibt3c+AaXQCyZRFtIDlsQSPr+2HL8wnntwPHMFzScgEQgLD\nSaKFmdIuPQKWjOIXsPzfx1HeQObnIcQT7erbAfJWuW0t+CTHck5kQLknZo6pdEeQLDVDqRgr6UtC\nAskqMlUBsx5YVy0XZcMH5Y5HhYDkI3fNQytl+H1z4EKPrLWs2Oo3mrs/z/nl7Ib/Is83ZZZ/F/hX\ngb/xlj/7cYzxH3nL1/8T4C8DfwcBy38J+NvAXwX+5xjjX1dK/dX0+b//0x6AVxN/Kv+Sm03Bbsj4\nuLc0ySFHdwbTZ+h+fbRTq2thdLs92hi8NSdg6QlO0diML805Xs+rcxOGS7Q96i8BzrTnu6Yj+KcE\n9AKYn0ZFS8GioVSpH6dKvFKLOH3RYY5jci2SHXMbAmqSV7oKuTCatC3UD57rQfqXzeg4TJ669By8\ngGvrrmhTH3Ol3CIvep1lrrWA2bk5cGH33HEHLnzNZb7hab7muijYlzlD6ZhKg12YpZjNjoco8QWV\nwdYO2zh049Ft0gUmTaDqemGcCTTjEikc3gROEMY1A8XMPGfwnNmVVieCawEUksMTWiegTCB5ej+d\neAKeb5z0ONRJz1WGVvNtSOwyAWSMAoDhCJYLKM5/dgqObwPG+ZwCpNGQhmCkzZuYJflW5gm5ZSoc\nU24YK8NYJJAs0/CmhLFKbkmrgK4GqqrnvGy4Vxx4VN7wwG/5jr/iobvmvtlxNxkwn2nFWme3Uji/\nlfObXIbHGH8fOGZW/5SjlPoQ2MQY/4/0+X8B/AUELP9l4J9O3/qfA/8LPwNYWqX4+91LdqW4Sx96\nz9NO/D7bzmF6g+4LimFCp3f50La3p+NzSWfFbCJqTWNyPjV3JGRMjxLnoJ5iaNkkZpkpx4WBiQZ4\ncutxfcqFAKYyaQ8cwBGVxKNKCqMm1CkbJ5lv6OTOYqdjSaeHHD2KgYeeNP3oOAyaz3tDO1oOo2eX\nojTqkHHwL6njlvum50xPixHHKcss04SzUjesdSugaQ7cc+fc82dc5mue5Wuuy5y6zOmT+/xYGgHL\nUmEbxVBHbK1xjU5aV592lqXE1N2AansYRuj7NBkfFkZJDG/qBU8B9BQ8tdyij/v2wiYFUDn5c7S5\n9X0LWOrEk77qNbswynDra3EBzHC8PwNiEABcmOL8fen2a8ERbgPkzKhdkgF5R/SOkDahAEJhhfWn\nVslQJhVDBWMZGUthkaqS30FR9pxVDXeLmgf5jg/zGz701zy0N9y3W+7rmnMdWGu7vK5nQjDFsITF\nfaOT2hnv8vlF9iz/hFLq/wa2wH8QY/zfEDfiL06+59Sh+MFsrRRjfKKU+uBn+UcMmkcmcvCX7Kqc\n7ZhRJwH1vt+ge4PpLaYvyQbpHc1REKFpIFmpAWRWE01JNDKtbU3Jx+YCm/aLhWE+R6ujfVqmHPcN\n8BbA/EzdoVElUc3ZMBL3gFZ4nfwXtSIe1GK+EZpGkhdTn8+kck9NBXq2iBsUajAMQ8HlKDne9Zgi\nCiqJJtj5FxzcKx6aA+f67SwTpI1Rqo61GjjXNXftnnt2x11/zt3swNN8w1VRcj2D8SGnP8ik1aTc\nF9vAUGtso8U6rDWYVn4HtvboLkN3ozDOYUyGJwNqHI+M8wRo3mBgr7NPXiuhZyBN998AU7gNjvpn\nYEuvgeX8+QKUcATEdP+nMqdT0J+ZMix9W+wsAbICkN4R0+bTlBvGIq1TFoox14yFMH25jUwzSJYj\nRdmzKaXVclHUPCh2fJDtboOkOXCuR9ZKU2p5LZ+eLg7UYWD8thjhrzuz/DpX4hjjf/sVf+0J8L0Y\n48vUo/xvlFJ/mjeVbfBztH2TzfxfBvjeR5aNzvmuqamzJ+zWOftByvC/11vavkoA49BjhRsndJgI\nN9tlb1vdbAEwRpMZTbBFMtA11Kbix1p2i2e3Gs0LAB7Z7msBU6vIpypSk5pHyki4mLJEXZJpjTYa\npcWQNzQNxCgBbOmFpScxGPZjQA+FhIgNOoWoGfo+41Vn6Ab5VR4Gz7bK2ZU521BQu5c8NFsu3sIy\ngXR/oNQj6yDl+bmuubB7PnAbnvhznuYbnueiXZ2Bs64zhjqBZp0CsxqSe7fCpkRA2xphnO3JCl8v\nGyqqG5LG8Lidwlf19makPAXQ5RV0G0jhzX4kP285+cYP/hlfrqesUR/bCZz2Ym1aR0xC/eisAGRy\nZAqZuWVEMnuEjoXY3i0gWURCIaV2Wfasi46LouZeLjZ/D7IdH/obHrgb7pstd82BC92z1opS+eVN\ndD5DnOjiwC6MXAVD/215tL3bWPnTwfJndSV+7e90SMoWMcb/Syn1Y+AfQJjkd06+9dSh+Ols3JnK\n9Wdf8/N/G/htgH/0z2TRKM09UzCw5RC/ZH+WWNDo+dFoaIcimfZ6qmElgDlNTNu9sLlkvKGTu3me\nwsailuHBXlX8UN0Xk17i4lwDV18LmLOp7yfpujmokqht+rmKqHMyozDJWV0rJaYbQXShICubahKD\nYTuMqKFEDxl6sJLnPWj6wVGnBL4vOseh9+yHjOuy5KYouHZXPHKvUrnVsNaWYvHG1GTKYTE4PVKp\nkXO95Vw3fGB23LdbnrpznmYbAJ4XK54XK67K6phX3TjGRkBzBkuTXL3F0Vtju4htLaYLC3DqXj5U\nLwwTEOZ5OjU+Bc6l7I0LiMWT+2+U8rdeNN+SGcTpOQFEuTktq7Uw2JPyGpsGNdYQk5YUSCL8tMl0\nsjs/LquoR19QQD4vIlMRiEXAlCOrsmNTtNzJG+7ne+75PR94IQEP7A0f2B0XZs9d3SWQtG+U2yPy\nHO1Cz02IvAwZl+MZTdx+O09XeLfr8F9IGa6Uug9cxRgnpdSfBH4L+EmM8UoptVNK/WPA/wn8m8B/\nnP7afwf8W8BfT7dfxVpvnTEGhjjhlOGe9vyWe0lbCBDszzLa0fFZb2hGjx4lEkKNATtN6CkQDvXC\nasL+gDYGazSFVkSdSRSEsmz1ih8m8FvAsgCjXi4xEK8DpsQ/HF3QP9GBnV6BtkniYolmjq0Vo2C0\nll32eQ/4dPgzTthxQg0B02eYIcX0dgqd5FJDq3nRG+rOc9NLW+JVXnGdlTxyr3hob7gbZVUSoHyt\nPM+iJYvS0zwLApp3zZ4HTpjlc7/hWbbhebHmRVnxsq3Ytjn7RqJZp8YwtFKiA2Jiu3xETCfAaTor\nLjt9SGzzZPWvH1GDSG1myY0aR2IIqBTZuwxT0hCFkHqJ8CaYnp7jPu43AAAgAElEQVTXmeJXndeY\n6K0yH46lvtZHac/JRF+2a7SwR2uIKf8opG2lmJlFsha8TgYvejE1ObWyW8AxT5tgRYB8whUDVdGz\nzjsu8pq72YF72Z4Hbss9u+UDuwPgwuw51z1rFVnr2yAJwiTr2LNLrZ+rYLkc11yOZ3zW36MJp52z\nn/OktdF3+XxT6dC/goDdfeC/V0r9PzHGfxH4p4C/ppQaEWf+vxJjvEp/7d/lKB362+kDBCT/a6XU\nvwN8BvzFn+UxdNHwKrTc1RI89oCJ1gspPVRiq9aOlqfjOc3gU0leUEwBM4VjHAQCTGG7RyuFVSoB\npidqA9pyrVb84YnF1/G8CZiGBq2eYFRc7NOsmvhYRa7NiqhdWtEzBJuTG43TWvK9jSYcRAcZh35h\nvzppFs00ofsS3RcSINYb9CKX0vSd59Aa+s5y6D3Xq5LrsuQqW3Hty2UzA+BcS3meIxfRaU+zVBNr\nPXAWbrir5Tn6wOx4aG947ta8yGQIdNVXXHUlN13Ors1o6owxZfyMnUY3+hiNkMxtFzuylMluZrBM\nAKrHgOrFWEI2YKZFjqPSLSSZTppGq3ktcAbLBJTxpOe4nK8rp9/S33xjgKRul9akqGFAgFFrojUC\njPMmktXLHnxwR0/RaXF+OlrWTRlMeRT7uiIQ8wmdpze4oqfKe87yljtZzb3swIU7cM/tuG933Ddb\nzk3NeVI8fB1IzuX2ddA8D/KGeDme8Xi4w+ftBZ83d2jG273Mn+co4m+2KD3G+DvA77zl638L+Ftf\n8Xd+F/iH3vL1l8A/90d9DE30fDJ6nG25Y0rOdMGjBARt9oQ6ZDSToxss1+MGPVpxB5pKiklWDecL\nJzTNUVakJA6i1GtQmQxnlOOVWvODt3hNTfF2SX5hwKgewxNccliYTWk/NoGXZkVrJO9bRNWeaBXO\nioZQz4mQh1qGPzES2jZNx2VIYodRQLPzJ0J8Aaa+M/RdwfPWcmg923XOVVXyqhDQfOREl/nQ3nBX\nN1zojlKPApSpp+mUuQWaABdxy4WpuW+3XE0rXroVV3nFi2HNi27Fq77gZlWwbVMrpHN0rWdoDUOn\n0W0Czk6hOzC9xCboZIRrknXZYjzRx2WnWo0RNQqQsgjAJ9R0IuU5lfakkl2d/I7lF/2Wsh3ePgSa\nZUczQCp1lCYlmVK0qSI4UVVEk/babXKo98csJAFHTmzyBBzlNgFkHohZQOUTPh8osoF1nuJPspaL\nTKRe95wM5C7snrtmz7luhEVqRXniF3AKklMMdHFkHwd2J+X25SiGMl/2d/isueDx4Yxn+xXD+G31\nLH+DwfKPw2mC4w+6DxcfypXOuaOlufN929DmX9JGsfj/u5OhHleo0YgUZyrJ5sAxEJaZZEVhu0Vr\nhdOKQimi8kkC5LhC+nc/OH0gBbzew7yjNdgWk9qvhrjk5fzYTDwzGxqbJcmS6D1zp/EpVAyQ4Y8x\nx17m0DNNIoNS44QZRrK+xHQCTqZ12E5jWukf9o2nbg1ftJ5tm/GqKnlRrXiRi5HGlb/iobvhobnh\nwrSsVXOLhcwfWTIPKePIWo2c6z33dc2NueE6lAKafsXVWPFyqLjqZai1HXK2Xc6u8zSdp++cAGev\n0Z0WE9weTJdcwwdSLxYBygEBzTEZVCRjCrXYoQX0lLZoQjwKx5MuUk2zlvNEZM5Xr94tg6HFpSgB\npFKSfqZONoXMcXPo1r76YvqRjD+Sa9LinuTFJyWFO4pnp4+EPBJ9QGUTLhvJs4FV3rH2HedZw4UX\ndn9uBSQv7F5KbFNzrlvWaqR6Sz9yPjNI1gkkr4Ln+STl9uP+Dl8kyd3j+ozLw5pXu5J+m8HwbUXh\n/uLBUin1N4F/MH16Dly/Te+tlPoE2CGV7/h10bvzeefB8v15f96fd+D8knqWMcZ/bb6vlPqPgJuv\n+fZ/Jsb44mf92e88WDaj4/89fI9K9+TqCd85yQG/o3P+pN0z5J9Tr2XY84NJ00zV0UptqsjSO56K\n8Zif03XEmy0KEZHDCtS8sCg9nCs2/EFUS07LVGgCL3lkRLg+r0bqtEvu1FNJINQjmR5xOnBpNrQ2\nTyVbSmC0BX62LEu70Sqxy6WH2TSoaUIPPbofcG3y8OwKTOuxrZUpdKvoG0vfaF7VlsMm46bLeVkJ\n83terPhu/oqXbrVscpzHnnM9Uaa8H6eOmxzzEKhkotUj56HhIrbcNzt2NheWOa64yWXF82qsuB5K\nrvqS7ZCz7zN2naftHX3nmHrD2GtUCu9SvUInZmn6E5fxxUhXWObMLGc7tMX9J7y5wz2vKsrvmNvr\njK+d1x2JolHLPvm8ax7Ncff81O1osY2zHBmlJXlxJkbpo7i++0j06TH4gMkmMj+S+4Ey61mnXPUz\n13Luau5YkXMBXNg957rm3NSs1UClA2ulydRtWdh8XmeUN8HxbFrxfNrweDjny+4Oj5szLg9SMV0d\nSuptDjuLv9GL9dw3Pb/MabgSoe1fAv7Zb+tnvvNgOYyG37v+KEWl9jhe8CiVUjJsyRjiDW35KV20\n9MHwo1HTTIXsXE8OFQQ4fEj5OdutlOJty2yFKPC7gluma45Xcc0P5t1wJJlx4gWPaDhbAFPaAoYW\np56n7OtxSWL80p3R2ILgrBjfJodwEKG8dRbtk+/jSQ8zdp1Ii1IPE8D2A7orMW2GbZwIxBuFaTVD\noxgazbPGsVtLDXhVlbysKi7zMx5lZzzyr5JgeZcmqONSlgMLcBo0FkNpIus40OohTVQPPDQ3bIO0\nBa5DyfVUcTMVvBoqtmPB9VCwHzJ2Q8ah9zS9o0860WEwRwAdNGqQeIbZcVyNCTjnMnxKgJoA85bf\nZPqQ7ZHbYLncPzm3bdxO7p/4YopJx3yrTvw0ueWxGS0pCiO5u6cPfECnBEvvBYVyN1L5ntL1CSAb\nNrbljq3FUs/UnJsD52nIttY9lRopFZTakKs3VxOHODEkudQpSL4MJc/HDY+HOzzpz3jSnvGk3vBi\nX7Hfp9zwncPeGNxO4bfwbXj/Qvxl9yz/SeBpjPGHX/2A+B+VUhH4G0mO+LXnnQdLBs2nzy6OLufV\ngFPCvB8Y0RA+MJGBl2KcGwxDMHwc7wpgBo2aA2DiGh9Sfg7cAkyt1BEwo9xTUdNEx/UJYE5R0xeG\n4J4R7NF8AySXXKsOwyu8mpZgscyMfGbP2bmKYF2KU0j6N6fIU6DYnPGt94clPXLJ9k5SoyPTLDFt\njmkybCMss68V9mDoa01dy89v156bJudFteJZueIy3/BRdi0C5hk0o4AmzBenXS5OgwBoEQNlHDnT\nE3VoqKNM8w9xxy54dqFg63N2U8HNVHIzFdyMBbshZzdmyyJBMzqawdH0jmE0jIOEfw0p+ItJoYYj\n25ndyk+dyxewjKdgObtn3AbM+WtvNQcm3U9+mLc8Mk+c2aOGaCXuAub7EWxAOQlac1bAMbMThRso\n7EDl0iaY69jYjo1tOLMNZ6ZmbWQFda1bNmoevsmDrr6GRc4T7jpOHNIbxClIXo5nPOnPedJueFpv\neH6o2O0Lxp3D7NJW107jduBvItlOesTf+ET+KGB5Tyn1uyef//YpmP2MizL/BvBffc2/8U/EGB+n\nTcH/SSn1BzHG//XrHtQ7D5Z6gOlpwY/cPXIzLC7nAF41i6ToEYHJPaOvzOJw/tmkaEKOmjMHokdN\na1JI7ZLQGNoWrqV0OzJMUNHLlRIs27DiB1ExBvn5odBMPGUyDRdGgCBTjjNV4OhxKfYhV8dgsY/t\nXa5cReMzgptjFgyTV+SZxnsrLNM54n4vZXnfLywTODLNrsN0FaotBTBrh6sNXa2xtWI4JCa3N+w3\njmadcVUVPK9WXBYbHuZbHvrtApp3TSoBdctad+mCtcsFO0uOphgoTVxYTRdHWl1Tx5pDtNTBsQ05\ndczYTjm7UHAzluzTtGM/ZRzGTAxCRr+AZzda+lFiPMbRMKWEzWnUxFFLLs4c+5Bycm4zyyNYEt++\nSjb/MW+AZTwBypjAMi55P8oGlIkYk+J1bcC5EWcmcifxvXP2eWklE2ltW9YpVXRlWta6ZW0aNrql\n1N0tgMyVIj8BxtdZ5Cwob+NIHSZ2UbELjpfJjOX5tOHpcMbTYcOTdsOzZs3LuuJmnzPsPXpnyXYK\nt5P/tN9G/C7itwF/M6CHX7r574uvG7j8tEUZpZRFDH7+7Nf8jMfp9plS6neAPwf8+oNlcampXcUP\n7AfkZljA0qlP0Lbhji5Y6ZxHtmHgqQQ2RcMUNF/EOzQxjSWjRsWMEnBz4NjNbgHMpSRfepzCMlUw\nqGjZxxU/DIoxarpg6aNh8E+T0QZc6EipvehBlcLR4NRjKt1T6p7K9vzY3ePSrWl9KomyFIGRSTZO\nlhmcl4xv7WriHJlxKmJPTFP3A7rtEmAW2DrD1Zb+YOjqJBqvFUNtGfaa3cpRJ4nRDJofZOc8zG74\nwMkWxwd2m0TOLWvVp+mrXMivs02ALFpWxMR4Rlrd0MaGOhpaazhEsZmby/Y6ZBxCxn7KqYNnP2Y0\nwdNMomhoR0c7Wbopgf1k6FMU7WnyYkgBYyHK7XFLUjFn7Hylckgd0XQOO9MqonRAawFFraNE7pqA\nt9J/zlKWuTOTvA7NSGU7eTPUPSvTURoJkdvohjK5/FS6o1I9pR6o1EimuAWQX+X+M5faXRw5xMAu\naG5CwctQ8XJc8XQ8A+BZv+FJe8bzZsVVUwpIHgQk/V5A0u3A7+QJyXYTbjvhth1614q+9Vs4v0Sd\n5T8P/EGM8a1qeqVUBegY4y7d/xeAv/bTfuivAVhGykuJS92aNb9vH1KkNLo8mfc6J0mNZ7rgu6Ym\n+MdMlbDAEBWPg0gmmuiTaa+njCcM8y2ACeBCpAxrVEjZOZOlmVb8KEVADNHQRk+fNjoHs+c+gZXO\nJTXSaJxqydXTk2CxntLd48tMXuh7XzJ5l0TLminzZJnGZ/aYmHg4LNnkp0xzGkZ036O6Ht32uKbA\nNDn24HGJWXYHzbBX9GvNuNIMB822chzWOS+rkstiw+Niw/20Z/ww23LP7rk/g2YSP5dqvMU2Zw/E\nU/A8Bc6BiSEOtLGni3vatH98SJEZdchoo+OQwLMLjjp42nQ7J2z2QYCzC9KPHoOmD5YxaKaU9z0F\nfcwET8mNISoBzpOjTiJy5z+xOqCUAKNR4VYmudcTmRnxaWCXpd5AaXoyNS5VTqk7cj0soChfG8jn\nrPfEHh2KTHmMUm8FyCltH52yyDrCLjiuw4rrUPJs3PBiWPNsWPOsFXnY83bFVV2wOwhIqr2ApN0r\n/A7cLpLtAm6bwH4/YHYd6tAQD82yLfWNzy8PLP91XivBlVKPgP80xvjngQfA7ySzFQv8lzHG/+Gn\n/dB3HyzHQHU5irWatbywG37PPALAJbcgp74A23CmCzY65zu2YeIxQ7QEjrGnj+Mdarw0pEgMkwSY\nu/3Sw1xMLsLsbr5GhSwBpqGdSj6eNH0wcjGn8LE2e8zANQ9oWKlsGf441ZGrl8uFVdmOVepnfeou\nuMoqmswz5UZW4TJJZMwKi712afiTtpBOmWaYCF04xtO2LaYt0XWBPQibtgfPsDG4g+S02INmrPTC\nNA+VMM2npVx4T4oz7mYHPsh2y8bIqdavUj2lgjxd6Kfg+TrrnMvHKUYG5rK9p48dXdzTR003p1pG\nRxsdfTRyf35Oo2eIhi64FBmcPsLxvviMyuMR5cLx8zdeTypljhOXz3Xawppv5w/JaJpwKa9prmjk\n62Nqs6Q8JzWRqwmXWKND3TIz0ejlOTo9pyV2l8CyjZFdMOxCIeqDacXVuOLFuOJ5v+ZZu+JlW3Fd\ny2Bxf8gZDw59MPjDCUjuI34fcLsJtxswe3nN6X0LdUOsG0LXiVfnNz0xytLAL+HEGP/tt3ztMfDn\n0/2fAH/mj/pz33mwZBzJLw9EUxGNJVjHUyubCL+nA1l64WqeYOyJaN02TPnnAEwnrOOSc+rogQSY\nSuFUMuuFRVYEiHA9BmyMFDNgTiYBZsFnKQaimeYLew4ae8kDc5yWz33MTG0ptSQxnhkp3deu42N/\nl0u/pstypsxKoFhuGHNNlht84TB5clbfeeKhJjYNoR9EyD6X5r2Y8qq2w9RS9uq6wO49bu3xa0O/\nT6C5EtAcK8Nh5airND0vKy7LNY/zM+7kNff8gftegPNuAk1xYp9X7XryBJ5vAGeaqqOOrGmluAWg\nIU4MjPSxYYgwoGijYUhgN0RDzwyMc7a6tEBC1ExI7vp0Ao4TR6b5+pn3+E1qsM1OU7K2OqbFghGf\nQNKpCc8MoPJ3HAGvAk7Jm61TCqc0Bvu1wCivxUAgEggLQLYxcgiaXRos7kLO9VTxclrxYljLEsBQ\n8bxd8aotuKkLmtoTUvUwg6Q7KNz+BCT3YQFJdWhR84pt0xDbbnn9fGvn/QbPr/iME/r5NblRBFsR\nrOVg5EX1pTnHGVkxNETMiQ7zji74vm0g/5zpNdvsS86plQdlQJ0wTKUXWRGkafmczjgF1LQWo45J\nInHbMefJqOlHeZqbyVGvMtrC0brnPErDn0w5Si3ll1c9lbpkM8c+2Joz1/Ajf58vszNuipK68GLb\nVSjGwjEVGp/Lv2Fzj849eu9RMzOYS/OhT6DZo1PZTtNi6wJzyLGHDFc5Ac05NnWlGEuJUgXoKkdb\niqPRZbHmrGg5zxvupv3ku06c12dN4Ea3nOs69eOEdbqTftzbgGMGULgNHlNMt0SGKCwuMNDHSACm\nBKbTrH0lKRTS/fnMrHJ6bcxjTkbkOgGfIWJIBirMrlMxgaZUHcKWFSb9PK0UDvl9fh0wzueUYXdx\nZCByCJE6Sk93F2QQ9nJMNnlTxatBNqVedhWvupLrJufQZPS1J9YGczDkh7kvDXYPfh9xh4DbT7j9\nKCBZd6i6XVgksMQbA19tkvzznPdg+as9MUbCq2uM1hRmNu9N/S+d86m+u5j3OjVi/DM+BErtuZsY\nZsg+f+PnXnJOjaw4RpVRGoXXyaw3+V+GrpNe5s1WLNRCkFW7qZR1ykHRTp4Xo4h9u9FQj546eOoi\no/WXtLHmvpGQsUw57mpDlspyQJimFknJub/PJ9kFz7MVbZ4x5jYBpiErUtlbGnzpMHmG3mfoQyOl\neT8Qx8Q0u4kpWaLpvoemRTUFts4xZY7dedzKM1aGfpVAs5pjJYwwztKyLTN2ZcHzYsWTYsMmGTvc\n8Q3nqS1wz+05M0lAbZpFCpOpiUqPJyWpPP7XAXQu3cHcGmHPTDQkgJvBdLlPJKTvmU5A8LQQnN5y\n8ZrXwEHA8AiCJr2xavTyvfPjPf6MtwPj68B/bD0E+hjpIrcUA7tQcD2V3EwlV6OwR4CrvuS6K8S4\npMlpG89UW1RtxEv0oLAHcAf5/7lDTB8Tdj9gDr0wyaY7ltp9f5IJlJ4XbdB5hmq/hd3wk8WAd/W8\n82AJYoDB9Y1YqxlNMFJiRm046JyfqHuY1KAXe7UXtwHTNeknHUFTq8gTdYdGeXGaUR7UGq81er6g\ntjsx3xhHsXcLETMF8jGgxlKczUdNM0gZvhvX/HCwkp2zyThUGQd/SRtveGjaJWRsLssBSrVnozrO\nTc0de+DcNXySX/BlLiyzKYVZjmUqS0tFXmp8YXBbh9kJaMa6Jiap0dzPBAit5FfrvkfVDdQ59pBj\n9jmuEqY5loYhMcuhVEsg1lhqxsLQlY62yHlVVlzm68URB+DMN5y5lgt/SBrChjNzYGNaStWx0S25\nGinTcCRX463S1WHeytCW2+U3Zt6qB5reYskW+PqL9qsCuv4oeTRvY8RDDAxE2hgZEjCC9F1nRUAd\nsgUgb8aC6zFtP/U5N2n/f9dmtI1naC0kH9GsFlcndwB7iLg64urUFthPmHrEHBKTPKQy+xQkT984\ntEF7h8ozVFHAt2KkceI7+o6eXwuwfH/en/fnj/mJ/NIGPL+o886DpVJK7Mv2e5RSOK2p9Jy/Im7n\ntc75kb63OJ1TgeYFDzhhlwCuQatPMamhr4DH+pxaZWKlpj1Rq7QrjtioJXfzOErUrp4mdBB2qcdq\nyc0BML2l7Us+HgzNIMmM+ypnlz2lc8/T0McvWkyQsjRXHaV+zka34nbt95z7+3yW3+F5saItcsZy\nzmfRjKUhKzXZyuBvHHbr0bu5JG9kSNWnqNp5ap4Ypuo66WceMswhR+cZthSGCTBWc+TqnCmuGEuT\ncsYtTemp84mrQkrGPE+7zlnH2nVsfMN5Wuc7s3USY7dUSXNYqo5KdycT5P7WoMSkkl0zM0y13D+V\nK83nbWzwm/Kkr2oBBI5l/5C2wOby+nSyf4ieQ8iogwzNtqFgP+XsppztmHM9lOzGjJuuYNtnHDpP\n2zrGlGsUW4OuNb5RyZkebB2xiU26Q8DWE/aQ/ALqHlW30LTErn87o9Qp7gLQWYYqCygLwrogbt9b\ntMGvAVhiDcpkoivcHzBaYRNYVlpBArpalUs0hFEBU0bg5QKYwNLDJE3JdWrsf6nOqRPwBuOpzHFv\nWysFeks41MeIihhR44gfJ/SwwgxpUj0Y1Gjo+pzHvaEZLLsh42ZVcCg83/cv+K7Zc8HESsmF5JRh\no3PR7SlxLj83NffsnnvZnk/yu3xZnPGqEuOKppReo+RGC2j6yuJLj91lqEOO3tfENjXzUxthBs25\nn6m6DtW2qMwLaO6T1KjwhNIzllKej6VmKNQSniXBWpqpkJdWnWcc8omX+YTPRoqsp/QDq2QUsbYd\na9eyMvJ41qZllcCz1N1RfqNnGc6Ups2p5wo4JQBokmrBoFJ/8dhTPD2v9yVfP6/3Mk9BECDEKD1R\nWIZLQwJEgAHNEB1ttAwJHNvgOQQpt3chp54ytqOU1fspYzfkbIecw+DZdxlN7+hax9gZaA26lZwj\nIMV2pMFNE7FNxDUBWwfsYUTXA7ruUPPvuO1utWCW4Q0sIKmzDAp5PKosCFXBtMkYNp7w6btj0faL\nPL8GYGnR6w3h+ka8Hrf7hU04paj0GVGLeW+tSv5Q3T/+3RJmwIQjy9S2weSf4dQoQWU68Lm5Q21y\n8TDU8g4fTEVuFMZI5krYH6R/WdfiCDRN2GmiGGSKqfs8uYJr2t5z1Z3R9o5dn7PdFNyUFXV2yXfj\nNfeTdOhMy+BnNuWtVMdaP+PciAvNPbfnbnaPzwoR1j8tV+yrgrFyDJVmWGn8SpGtNH5rcVuPLTPU\nQXqK+pDJxXTKNhJoxr5HtQ7VtKhDAvw8Q+cZJve40kt2dTnHsgpwSgxCmjjnMOWaKXd0eaDNcq7z\nCesTePqBwg2UTpjuynXLSmBlOkoj202l7smSsHvWMILkxudqOJH1TOn2KPmBaZl0n1725jXMnE79\ngU+//tqEfYhmuZ1lSgOGNnkMDNFwSKJ6EdA7dlNOM7lllXM/ZBzSm2gzOOre0XWOsTeE1qJ6jW4U\nvpsjOeR9HMA0EdtGXBMxTcDVI6YeUc2AajsZ3HQdIWW3x76X2OFTGdBrIKmKnFhJhTWuBST7taHb\naKZvbpTOr8BI41s/7zxYBqfh/h0xv7i+EbDaSfaIsA5Fpc4AnwCz4g9P/v5UKkJKa5yHPrMO0/Dl\nEgthdeBTdUFtiiVeNVhLNBW50WKlZgxhuxeJziwrGkfsMnleSxRE7zCdpu0dTb/iJ51jP3iuB3EZ\nv86e8n03J0g2XGiZlt9mmbJyeNeIU/aDTCb0n+R3+aI453m5oq0yKZsrzbBSCTQNbufwW2GKZp+j\nDq2U6K+D5iw3GqU8B1BNg/IesgyTiUzJ5hm+cEy5PZbkuTxHkkrIog2VMC5L8JE6ixyS2a31ciE7\nP5I5+cjtuOxU52akMAOF6ZPDlIBllizvcjUuusdZB6lVWHSR8zHpa/L6uN1DC7wpKZqi5HlOMek1\nk26zj/aWGL4NbtkqqoOnDzaBo6ed3NEgZLD0o6XvLWOfMnh6A7MZcqtwS/SGBL6Z9giOAKYN2GbC\nNCO6GVCNbGnFtoNO9JFxGEX9AG8f3nh/CyTHdcawElQcNpZurek3in4jFnPf+ETejPZ4x86vAVgq\nug/XZFH0jnPELUDY7dBLj3FDTH6UNUfAnKJmTqo9nZLf0QXGtmj15fEi1BMf27s0RkreaCUuN7iS\nwmqsNWhtiLvdIiuathKMBqDHiXyYMEOJ6T2m0+jO0HU5jzvDvs3YDjmvViXXhfwbW/+Mj+yWB6Zh\n/RrLLHXPWr3kwuy5n8KpPvBbPsiFaT6uzriqStpVxrAyDCvNsFa4rSJbp+2RncPtMuy+ENCsW2Lb\nCnDOcqMYb+2e0w/CNtNFp7wTxukdtvDETIATYCoMUyasc5wDuDLJn5k8Kc1QwBOg8ZF6tjJzE8aJ\nnZk1gSyZUmR2XPawvZ7wZpTVQy2VgEvriPOmzWnI3Gk655tZSvOGjyYkwFxWJpHd8yEaxrQh1KUN\nrX4yy9olIKYfk6EfDf1oxXZuNIRBE2fruV6hkzu86yVWQ/KJSPlEApCmiws46i5lyZ8AJF1P7HsB\nyJlBvp5hngLV5t+VynMocim1V55h5Rg2ln4lbxb9RtGvYTiLDJsJ/LcEcu+Z5a/2BAf7jzzEDVmI\n4keZmGUcR9FAIi6UK7Vh9qOsY3XLhxJgKjWTf86jtL99x5Ro1eB4IhsbaR/4R+YeAIckgg9OQsdK\np3E2RUJsd0sURNiLQJtkcOH6Ad2tMF2G6Sy21bStZ9saftA5tndyrjZJU1euuM4v2dkrHpiGCzMu\nq5JnqiBXA+vQc64lfve+3XLfSk70p8VdPivv8HS15npV0q48w87gV4ohOcy4nSLbGdxeQNPsC3Td\nJdDsBDjnixBSINhEDJMAadOiknWc8h6decg82gsdsZkn5paQ2cQstZTlXgl4ZhBSYBekLBqXvCCd\nI7hI42fLs4hyAWXD4vCjTcDagNEBayacCUkmFuVrOghA6vT9J2mbXwWWIb0ugMV2b94xH9PHFPRi\n3iEuSIowJaY4KnFCGjRqTH6cg8INyci4R6I0pEpG9wkU+5bHAewAABa0SURBVCjJl21KvWwmdDei\nuxHVDotnKW1HHAZ5M5v7kG+R/6ikN1azDCjPiUVGKDOmVca4cgwrQ7eWN9FeNloZNpFxHWAzsN40\nXLlvY4vnl7fu+Is67z5Y+sj+IyWu52GDT25BAFNimbcAM24Wa7U6lvxhvL9cGFJqWSZ/yaO0S36W\nGKZJLueZGsmtvGh/YD7g2q7koraGYDNKO2foWNTNllCfRO3Ovcw5bKxdYdqU0NgqTGvp2pLPWsu2\nlTL51VnJy1XFVbHi+/4Fj+IND03DKm39ZMphtaFMpeZa7bmrGx5a8aR84O/xRXGHz8tznq1WbPcF\nzdrT72ZmKcDpdgq/T6C5z7CHAn0Q0KTtiHP/q+uOJV6MEE/6m10HtVmAE+RC1d6jM4f1TvKxc3mD\nmTJNOImABfHvnFJGTfBqya+ZHcejjQQDwQowTBZ6k8A0WaahQZkgjkEaOAFIVDzGfb8leC7ObkTp\nNRGT4UYMiHtRUBBmOziFmhSMKrm3pwHMOLu6J2PiZFys+5QnlELZTPKJNF1E9wHTzXnqI7pNDL4f\n4JQ1knqQUzj+DuYzM8j5+c/kNaTyjFhkTFXOVLkEkpp+penXimF1ApAA64Fq03JvdeDDcssL2//M\n1+NXngjxvc7yV3u0CzQfTahoIHrWcYOL837v2wETEsOMmiaW/DB8AMAU9NK8D1yCFcOLlc75DuLC\nnlfimQlQmIHfdw94Zs+orZdoCOcpvCZ3BmPFsDfsJW1y3isPs4XaMJL1I7orsa3HtAbTarom41WT\n+l+t57oreL5e8aJa8yey5+zccx6amos4LkL2Uh2lRqXuOdMSX/vQ3vAdf4dH+V2+KO/w5epsAU2A\nducYdga30/R7hdsr3F7jDxa385i6EDFzIxeMboRt8hZWE8cRxvEInCBxsdaKLMWKF6fOPNFZnHcS\nEevNYnZ8Kyo2geWU4hmiFTCV2IYEZrNT+exgbiBqMeWdTXtREPQMlrfNfZfbeLy9ZQ4c1S0j4eXj\nxGhYz4bDiXzP4WpqjJhhjsI4SavsA2YIx6z0fkR1J473w0gcBCTDOMIwHJ9neAMgUfrI7vNMgDLP\niKVMt6fSM1YubWQZ+pWssQ4rGNcJJNcD1VqGfnermofVlu8Wr/hedsXvptXbb3zeb/D8ak/pBqqP\ndhziGqJBxYwVYm/m+ArAjBEVN4tTUB0EOH4c7zPG1JtaWYb4mO8kP8xSex4phVM3Sw54rgYKM/D3\n7MgX/pzaSZbO5C3Bl+TeiFmvlac57vbLxk/c72GQwYlve0y7wjb5kp3TJbDsmorPas/NnZyrs4pn\nqzXPi7XIjOwV903DhbYUJ2B5pooUX9tzYV5y3+x46K75yF/wZXFnAU2A52txym53nn5vFrDs9hp3\nMAKae489CBKYuk9DBZGmxL5fykGm6TZwwgKeKC2sx2hwDmUTeFoZOMSk8cNZydpOH8FqojuNlX0t\nSdGe5uAAWm6jlsXtxbQ30ckZKONXgOVCQMPJ128B5THj5wiUkv+jx1TejzExSonw1WNADUHifPtR\nMtCHETW3NsZJwHEcE2sfl97jG+U1HAHSyERbeQdZJgwy81Jml46xTNntq9u7/sMKxlVkXE/o1cBq\n3XK3qvmwlCHhR8U1H2Wv+K674qG9Jj8ZkH2j875n+as9len4hz94wu9FRR1XwjCR8mPF2dsBM1mr\nVeEMYrY4pdch55Nwl2FKU861oedLvm8b7iQPygdG45UwxVx9Qqk7Ct2T24FP7AWNLwneMHnL5BWF\nN7jUv9POobZ2Kc2XHPBxxPQDebPCNCWucdgU+2AaTV97rhvDoc54dafg2XrNs3LDs3zD991zPrJb\nLlI+i0iN7O2ephq40C94aLZ85K4W0AR4XJ3zZL3h2WbFzb6g23v6vcUehGV2B4Pba1x6PK52sj7X\nFJhaBg2662/10WYmBBwv9pj6nAPQdbfB0xwF0QKgAqRYQ7QGjJH7zkgmd8rlBohWEYxO0Q76dqiY\nVgkoE3jCm5ERJ0e9zi5BNLMLs7wdhqYnidpVk+SZq2kGS8k1V9MkwDhOqFFuGUdiug3zG8r8JnPy\nZnP7gR3ZI3Bk6pmwyJh7YuaZSpdA0ohsrEq6zyoBZBUZq8C0mjDrgfOq5SKB5If5Dd/LrgB45F7x\n0Ip87VyzLGF8oxPj+2n4r/qUuuMfP/8JAcX/Fz8Uhrl0LbNbgBl2u0VapBE39FU4Q6VNChUMdcj5\nYrpgCJohatqVY8g/5++zNfeTQ9C88aNtQ66+oNI9Kyv6wB/5e+z8Sia8mfhPFlkyucjM/9/eucVI\ncp11/PfVvaovMz07u7Pj9TpeKxfhvCUGjBAIcXFMRHAiQIqQiJVEikBEPCHZll8shQdMhBAREZYB\nSwlCOCFSiIWEfEEJeYlz92Ud2/Hu2mR3Z2dnd3Z2pm/V3VV1eDinumt65z47F8f1l0pVfaqqz7+r\nT3/9nfPdsF1nODXX61DGYm7Sp7m9Pna3gmNSqLldh7gtOG2HXttiruNyfTLkykSVy9U6C1GdU/4V\nTjhLAMzYLY7YA6ri4pv60b7tElkDJrPVQhNg3pvkUjjJXGWSueoEV7oVrrdDui2fQdvBadk6MUOe\nWb2tNU634+B2PJ18I3dhiQdacBoLLaCnlPkaW5qOLLVF4WmEAYBYooWnbZu9FqZYxnBm25C3gRaa\nlgW2pV26bBnuhzW+ixUbRQpa5RpCQKnVhcwyXfGTTK2uRZ5lwz1ppl/nGcXTTAvFLNOJc9NMC8Y0\nhSxb/SxMnzfAshFLtAZuLNmYP92igMxyl62KowMECrH7A+1QobXISoaqpHjVPo1KzJFIr0fO+suc\n8Jc47ixz3LkOMBSS+RhaL1Z+2yg1yxIlSpTYDGq05vo2xdteWAai+MXw3NCR+GWgjfGBwGKoXeYJ\nfI12mS6vYKsMNzPTccBKAyS16aQe80mDxCTujZVLHJxnoJaZsdUwPHLaruBKl0AuEVh9qnZM1e3x\nU+8YC36dtudpH0NfawRpYBH4Do7nYrsuWbM1ci/qdJBBgjXoY8d9gq6O+rE7IW7bw+nYOB2LXtuj\n27Z5q+OxNBFyuV5jvjLBu0LtxP4u7yonnCWO2x0mrMHQN3Ncwzxq6+tP2MssuIvMexNcChpc7E0y\nX61zpV7V9aM7PrHJsq356BRgruHjdByzbOBrX8A41X6APe0xIHEf6efTc2PRTdM1NU0wylaSmMJh\nZvppGc3T0tbe3OqrvzStiQ4twTJ6bYrnjI7z92Q0LR9HXjK3ULRntE+z4XRSZZk2WGSp3qcpWX5t\nrkEq3a4ydaPv4ziMJplr1eI44LmI64LnonwPFZjIMX8UAJBENkkoOuQ0EpIKJJEiiTLSqjEgVQaE\nUZ/JSpejYZuZcIVb/GVmvescd65zzG4yZcdMmglZrlHmkXBqkyxNW0KZou3gYSO8241JOTdse9ns\n21JFiY0Sn6pM4InOR5k7rqcrLexM4Zq1FEknkDTEMnknryaTvJjYxKlLp+4TR//HgEVuMZEfVStg\nwtLp1AK5SkX6Ol+j0+NVb4bz3iSdICT1TRkF3yH1LYLAwQu0VVhWWnpKPrhxSg7gdSvDabnXdnDb\nFr22Ta8dsNRyabZCrk5WmKvqnJkXKw1uD65yu3eV4/ayMQANiCx3tdA0yXMnrIRpe4njTpPb3GvM\nexPMhxNcqkyyUKtxuVvjWjdixSwLxB2PQceh37a04OyIFuRdC6fr6Bjlrocdm+S5cYoVD4auMFbu\nClMwaOTCExgZNaAwXR9930MhmqMoTEELVBE9Nc+vzY8xiVdyrCEwlflBq6JgywrT5VwIgv7xq2x4\nz4bT6hGB4Xpt3r84jn7tOlo4uq42dAUemXG1SgOHJDTjyCR+HoRCGgpJhInNV6SVDBWluFGfeqQ9\nEhpRl6Nhi+PBCrPeMjPuMsedZY7aTaasPjVLiIyAhFHykYFK6ag+g5vl8vNOdh0Skc8DHwH6wFng\nk0qp6+bcQ8CngRT4C6XU06b9XuDv0cuI/6yU+mvTfgp4EpgCfgT8iVJqUwcvQWhYIe9zu1AQmACn\nZZaOVE3Gc4+KNYFv6SQLeRGytNnEMoPbSTOiNMNKIp3tPHFopnVO5wIz84gjj9hbAOCk3aFuBUSW\nx6zYuORlIWLqTpeaO8u5YIqmr7XENHBMKKBHGFr4oatDBj0X1WrfoGUCWL0edq+P1angtHXtHLdl\n47Qs+k2HftPmckuvYwIs1GvMVSe4GDW4zb/GSW+RW5wljlg9Jqw+NcvDwcYXraXoiKCUSWvAUWuF\nGbvFSXeRRa/KfDDJQlRnvjfBQk9/hsW4wlInNFm5XfpdnZXb6WIy4GjBaaq84sTKuEVpP0I71m4y\nVt8Iz0Gi1zUL1nMGScHgkY0E0lrCaEyYAqv1oPWME+vlplzvB73d9bYxrViGa6v20BNAHKMd594A\nrkPmOSjPMWGh+SYmbNQkYDYCUsfgK9JIC0g7SqhGPepBj+mwPSwyN+OvMOOuMOPmWmSHSSuhJhaR\n5d9QHC0Xks0s5WqqE4LsForRH9HbFbt9Cs8CDymlEhF5FHgIeEBE7kRXWHs/cAvwnIi819zzReB3\ngAvA90XkKaXUT4BHgb9TSj0pIo+hBe0/bkYgIcMWaygwbc4WYn8VL8ssbalpDdPyQOr4IqtKRBQj\nbOwsI0wVklZ0tvPEpjuo8trA1vG9qUu7oqfhsX9paCl3xeaYHRFITEUuDLOb170ub/g6ecdCWKcd\n+CSBTmeWhFrLdAMdLigrLW0pN4YfgDQxiXnjGKdTwepUcFshXsslbtn0WkKvpX0lAS5O+lybiJiv\n1blYneRC1OA2f5ET7lJBaGpNAkYFxVyxCSVjwko4qro07Q4nnOssuhWu+VXmC2VVr9RqXImrOlt3\nN6Dd9eh13WEiWjvWqcMAnFiwY0vHN/cUTuyacL4Mqz9ywpaB1ialpzVNa5Bol5rcMJJmq12Tc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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x116668c18>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "scale_factor = 500\n", | |
| "\n", | |
| "# Create some test data on a grid\n", | |
| "y, x = np.mgrid[-4:2:200j, -4:2:200j]\n", | |
| "z = 10 * np.cos(x**2 + y**2)\n", | |
| "\n", | |
| "# Scale up x and y to be something we could think of as kilometers\n", | |
| "x *= scale_factor\n", | |
| "y *= scale_factor\n", | |
| "\n", | |
| "plt.imshow(z, extent=(np.min(x), np.max(x), np.min(y), np.max(y)), origin='lower')\n", | |
| "plt.colorbar()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.collections.PathCollection at 0x1192a0eb8>" | |
| ] | |
| }, | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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JlGIoK6nkk1e+DRvDb5lWSAJbY/Ds9IVs3rsP3TikmHYUlvD2gpXBZUYIRHit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\nDNvLpB3XUm3kYUofCjpCqJyY+QTtPeH+AlvzTyJ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FVghxOvA8od79t6SUkXzAVkbnrBS+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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x116ecb828>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Randomly pull samples of the data\n", | |
| "n_samples = 500\n", | |
| "x_data = np.random.choice(x[0,:], (n_samples))\n", | |
| "y_data = np.random.choice(y[:,0], (n_samples))\n", | |
| "z_data = 10 * np.cos((x_data/scale_factor)**2 + (y_data/scale_factor)**2)\n", | |
| "\n", | |
| "plt.scatter(x_data, y_data, c=z_data)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "source": [ | |
| "## Offset grid works" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Same X coordinates: []\n", | |
| "Same Y coordinates: []\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.image.AxesImage at 0x1193270f0>" | |
| ] | |
| }, | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x116948d68>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "y_grid, x_grid = np.mgrid[-4:2:20j, -4:2:20j]\n", | |
| "x_grid += 0.1\n", | |
| "y_grid += 0.1\n", | |
| "x_grid *= scale_factor\n", | |
| "y_grid *= scale_factor\n", | |
| "\n", | |
| "print('Same X coordinates: ', np.intersect1d(x_grid,x_data))\n", | |
| "print('Same Y coordinates: ', np.intersect1d(y_grid,y_data))\n", | |
| "\n", | |
| "gz = natural_neighbor(x_data, y_data, z_data*1000, x_grid, y_grid)\n", | |
| "\n", | |
| "plt.imshow(gz, extent=(np.min(x_grid), np.max(x_grid), np.min(y_grid), np.max(y_grid)), origin='lower')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "source": [ | |
| "## Shared points fail" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": false, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "Error during processing of a grid. Interpolation will continue but be mindful of errors in output. \n", | |
| "Error during processing of a grid. Interpolation will continue but be mindful of errors in output. \n", | |
| "Error during processing of a grid. Interpolation will continue but be mindful of errors in output. \n" | |
| ] | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Same X coordinates: [-2000. 1000.]\n", | |
| "Same Y coordinates: [-2000. 1000.]\n" | |
| ] | |
| }, | |
| { | |
| "ename": "ZeroDivisionError", | |
| "evalue": "", | |
| "output_type": "error", | |
| "traceback": [ | |
| "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", | |
| "\u001b[0;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", | |
| "\u001b[0;32m<ipython-input-5-c400a51c760e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Same Y coordinates: '\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mintersect1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_grid\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my_data\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mgz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnatural_neighbor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_data\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_data\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mz_data\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m1000\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_grid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 9\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mextent\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0morigin\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'lower'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", | |
| "\u001b[0;32m/Users/johnleeman/gitrepos/MetPy/metpy/gridding/interpolation.py\u001b[0m in \u001b[0;36mnatural_neighbor\u001b[0;34m(xp, yp, variable, grid_x, grid_y)\u001b[0m\n\u001b[1;32m 64\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 65\u001b[0m img[ind] = nn_point(xp, yp, variable, grid_points[grid],\n\u001b[0;32m---> 66\u001b[0;31m tri, neighbors, triangle_info)\n\u001b[0m\u001b[1;32m 67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 68\u001b[0m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_x\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", | |
| "\u001b[0;32m/Users/johnleeman/gitrepos/MetPy/metpy/gridding/interpolation.py\u001b[0m in \u001b[0;36mnn_point\u001b[0;34m(xp, yp, variable, grid_loc, tri, neighbors, triangle_info)\u001b[0m\n\u001b[1;32m 114\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 115\u001b[0m \u001b[0mpolygon\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 116\u001b[0;31m \u001b[0mc1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtriangles\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcircumcenter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid_loc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtri\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpoints\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mp1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtri\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpoints\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mp2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 117\u001b[0m \u001b[0mpolygon\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 118\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", | |
| "\u001b[0;32m/Users/johnleeman/gitrepos/MetPy/metpy/gridding/triangles.py\u001b[0m in \u001b[0;36mcircumcenter\u001b[0;34m(pt0, pt1, pt2)\u001b[0m\n\u001b[1;32m 206\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 207\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0md_div\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 208\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mZeroDivisionError\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 209\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 210\u001b[0m \u001b[0md_inv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.5\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0md_div\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", | |
| "\u001b[0;31mZeroDivisionError\u001b[0m: " | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "y_grid, x_grid = np.mgrid[-4:2:20j, -4:2:20j]\n", | |
| "x_grid *= scale_factor\n", | |
| "y_grid *= scale_factor\n", | |
| "\n", | |
| "print('Same X coordinates: ', np.intersect1d(x_grid,x_data))\n", | |
| "print('Same Y coordinates: ', np.intersect1d(y_grid,y_data))\n", | |
| "\n", | |
| "gz = natural_neighbor(x_data, y_data, z_data*1000, x_grid, y_grid)\n", | |
| "\n", | |
| "plt.imshow(gz, extent=(np.min(x_grid), np.max(x_grid), np.min(y_grid), np.max(y_grid)), origin='lower')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true, | |
| "deletable": true, | |
| "editable": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python [conda env:metpydev35]", | |
| "language": "python", | |
| "name": "conda-env-metpydev35-py" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.5.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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