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@joefutrelle
Last active September 21, 2015 15:13
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Effective resolution of distance map
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{
"metadata": {
"name": "effective resolution of distance map"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import numpy as np\n\ndef rad(deg):\n return np.pi * deg / 180.0\n \ndef distance_map(alt,pitch,roll,I,J):\n # camera metrics\n # effective focal length\n f = 0.012 # meters\n \n # geometry\n # Of = [0 0 0] - focal point\n # Oi = [0 0 -f] - center of sensor\n # Os = [0 0 -alt] - intersection of Oi -> Of with substrate\n\n # basis vectors of substrate plane prior to rotation\n ei = np.matrix([1, 0, 0]).T\n ej = np.matrix([0, 1, 0]).T\n\n # rotation by pitch / roll\n p=pitch\n r=roll\n\n # pitch matrix\n Rp = np.matrix([[1, 0, 0],\n [0, cos(p), -sin(p)],\n [0, sin(p), cos(p)]])\n # roll matrix\n Rr = np.matrix([[cos(r), 0, -sin(r)],\n [ 0, 1, 0],\n [sin(r), 0, cos(r)]])\n # apply pitch, then roll, to substrate plane basis vectors\n # order is arbitrary as we can safely assume pitch and roll are small\n a, b, c = np.array(Rr * (Rp * ei)).T[0]\n l, m, n = np.array(Rr * (Rp * ej)).T[0]\n\n # location of pixel Li = Oi + [i j 0] = [i j -f]\n\n # now compute u for I,J elementwise -> U\n U = (-alt * (a*m - l*b)) / (-I * (b*n - m*c) + J * (a*n - l*c) + f * (a*m - l*b))\n # compute ||U*Li|| elementwise\n D = np.sqrt(np.power(U*-I,2) + np.power(U*-J,2) + np.power(U*f,2))\n \n return D",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "# distance between pixels at sensor\npixel_sep_m = 0.0000065\nwidth_px = 1360\nheight_px = 1024\n\ndef compute_resolution(yres,xres,alt,pitch,roll):\n x_axis=np.linspace(-width_px*pixel_sep_m/2,width_px*pixel_sep_m/2,xres)\n y_axis=np.linspace(-height_px*pixel_sep_m/2,height_px*pixel_sep_m/2,yres)\n # create matrices carrying all I and J coordinates per-pixel\n I,J=np.meshgrid(x_axis, y_axis)\n\n return distance_map(alt, pitch, roll, I, J)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "alt = 1.3\npitch = rad(-17)\nroll = rad(33)\n\nD = compute_resolution(256,256,alt,pitch,roll)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig = plt.figure(figsize=(6,6))\nax = fig.add_subplot(111)\nax.imshow(D)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": "<matplotlib.image.AxesImage at 0x3125150>"
},
{
"metadata": {},
"output_type": "display_data",
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6PLH+5qx1qWv5kUfkIor4kB8BGXOFfaYb9YqiD3dtwbXR3HppXKarLSjsIE+u\nozYt3Awd7QjaUPHafdDDv3u2SxRA8Svql87r0A79uonvtcNlOqirH+KHdXlX0gH1DWoRPFyW4fla\n/b8pLNMtnl4de1yFrWc/g64mR9SfOyF2O05LvUfg30fLRTxbG3wP7NL68UXTieLPcppCB9YKvDwb\npVTQEmLRkTe+aOrXqx2g5S22bqWSPx3SBR8nB5AP6mLui3oFfn9pxc2tvJKnl0fjpaVrYQ1Xrw08\nkcEpGb+vQRqmvrs+61PdqrS0F+ktlGrhozDglg6qrY5HOiTRVuvBa3/3Qw6k1yjeYU9R6BzP1nBw\neaEzL5fj1rhSTrfPcym7dM5bHrAF8IVO+Sdlj6RFBhouZOpGVC+M9vpmTZlrcZFvVlPUe5RVCz8v\nvkW3yMXZGn+Pp+TD2z2qz0IVSaGPUBJyWrVXgcu6rU4Y4aOVs3i1KFvvOWofk0d7lXqkA9fplDtF\nO1wKzJs2DknSlHK2pH3fcVKeMk9tOaZbcEBaBeOpXkmd5Dk1Eeq6AcNg+fFQJviQpbcIquHfGjQb\nweWpr2+FGKPYvyX3HuI8eXsmxDde8UVS4GA3a0sQLrhMPxPz9eRqyXMUUee6iXpqHyMq6TU5Y5bB\nrcHQvUsuNMt2BMEZ/suiDT61yy2I51nUdSP6/oKuv9R90LfCdlG41au3Vl7mkcZNC+Tb4pcuy+x5\nVmpfDhN3LP624PIh2vvSPUo4Dv/e49veKkfXmH9LHa10zHu6RRh6efmElk87FiCxctaAkPP5i6c3\n/Y3SAV3d4oOOgDIf7RmaB7NwGEBLs/JL/rU8Mp8GqWikyb4FYtHKB5yITB4e31ZqlSPMoAY7eDy8\nsAXLtDSG1yk9OSkuCrG0Yn8e7NKK+fGyXn17YJsYna7Q5UKntXFojVVnRa1dVKHXp9wixPJLcOca\nRJdmkA86HdTlKvIEIBGmbohW+248Za59oxH4VFPWXrjGs/Y9aBS19rlOugnSdF6rzlGZtig+jSIK\nvZa/RtqL1+SryawpwegA4dWzJ/8Wa4qnR+rfTqcqdCL9SjrdUu+VeJnuwSvctz3nHZby65z7aK2z\n5kEl1bf3L2W7AeidO0Zb+3gWRv9eNNg/AjO0GH9RnpacFk+PbhIukRDNjRLHis6gyEvZPV0JUlSR\nRmlvB6oNFvv4n6LQNYXbMcVK5J3rUvM7b7k5iHuh0LksEcw9Qpxn85ns89kurg/6VIlvGLT6oVfl\nMngeRVuIgY0/AAAgAElEQVQUeKsO43VwOGrrxfakNw7/ojyL8IgR8Qg66myX6Ev0OnWLHJbcewbE\nrQtcx9ApCt3CxMldUcur8aidmcJx84hMif2e/q8P6qKBZ31NnZ5G7pUt57ukbkDXXeYz03cqcw+i\naZnhauW9erSZu8XTqpfKeTCORtHBSoNCZL1J+S3r0OAVr87DvjopeBT/lYpPC9fytzy0xsMia7TW\n8kVgHIqPLAodQVshG07bra0TIRftsgn9AgpNeY8iXr/MeY2vWxdmQJS2/MwTyjtGS75lWsXxsKSE\nAk+v4uqA/43UlHkkvxVX++ZkOU2BWzy9NE1mK14q28h3ZPHolLhWfhqPzWQxiH7OtUZuDXv1eGUi\nfGoDlZY/Oih4+b2RNyq3l1ZL36bUT14UtfFzvvAJJR+3prPlnBdKJUkLO9Oa500RP1mRPF76LnB0\nLrBPmUchGEuZ7+k1NSOpxbq+jZdEW3QYZNwCK9xkj9ZeZMSrozb92yLHVuxNS7MGB6+O2rPvaRuf\nbvGiqL6piHzKdT6jorDXRHyi579ckyYlPsMrNUoj0F+A3jk2wFLYwP61Mq0fSp6R2bwXtqj2XEdA\np0fTtaFrANPDaC9VNpjXgEfQUQuxlpxW3JmLv7ePTlHo1sFcEn7p5j9Jnj85YeGRRc201EGW+/WV\nfJ4psIurkz6rKIWd3RbpXJfWWaJnsWtltni1cJ5eOEIW3MPTtDJHXhLdUl7D2bnMu2lrI1phS+F7\nvOSJa63qI2o9t2JsUapNW7eU8WTy2ifSFu1tfOKiqLw/VFfg1qXOhGdnHFtLjy1Gavh3HjTkWS+x\n56th7hJSMvkQlh4508WbIXoQZg0ntyCcVqhVw9VlupRbIw+CTIE8so6EMr/Gg/+uYeo1eOUQ+Mdr\ngNbRiJezGrAWjshplbE8TbY8h1feql8+e6QM1dFqKUm+tedsw+pOg1w0ZSst7/zIF1Uxl/m1w7rK\njUQT2UqUUrIbY3lTEa+r3BBFcbI858Es8lrbJCzYetcN07V03vdbU+Ytfc4yHLR8Wh5LgWs8vIXU\nKNXaReZp4e9Z4HsN5l2YeotFubWSrRa4NgvQ8sl6pJx7FHp0JmDJ1JIeGb29tGMho5MXRSdFJ4kU\n+LjKq/ty08KoP85N/uC+m2OdJGTC/dYnfP+CGoZfraMb0PcDur5ywFLtm/Mw3L1HZ9zkeSYePBuF\nhui7O/MclhvB1CXd1IIBEGvghO1nohzRgF5numfw31PvER3ulp+HHjmYS/qPS+tXs7Q7R+nnPGOh\nkKUrZIy8nNvwd7oguotcEA1gwtTRbjh435xl7EQW5FvhWM06j9S5dYa7N38rWZj6LvKmI1FLTzZg\ny8Kp9aK3zAj2WORRelhWvyNyxvifhqFLyMKOW5+oaPt4y/PHrTPRdT9yz0f9aJq+8xnOYX7nscO5\n2AKpztiHED2FKGGBGr7O47W6OC8rzQt7aRZPD/as5fcgllqZWvrVqNagLXnlQ9Rws9i8tu2F8DjL\nYtbyaeU9maJyeLJ4ZXhdW2GZljy3CEPnuDPH0LMr4hpv9xY85aaiHK/nk4d28Tr2n+tS4uurzUiB\nc12mS6LnxVHrOADPIqylWYpbi6t905rx5X0LtbKt35dcfLV4y/ycp6Wwawo/MpvRZNtEntL2RtAW\n2qIitJcYyafVHVXy3rTT4qHl9zqrp5hrg2hEqe/uEOdi6PICZyJyORyLvCX+zS1c/0jcEoKpqU3K\nz7Hx2pnrNZoGpUtxpkvruS7TLtJKmZqSs5R51O1X4yHjtHDNePHK7yH+bKfg1wrJQWGXTC1nudyk\nv3YEQrhJOOQmnj3BXxuojfbHyHnajUUcMOlFGMiKld84RNa0vC6a4vt5lFvfErQ+z+XS0JloI5KM\n9UpwGtAhIaHV0p9w9ane4dJhHJ06O+iXppBSs24v6oy0CFHZ+ihZltHk1MpwuSmslYvy5Plv4iIb\nTvQsu+u0+hEplMhNQPLF07fghUcWpofh6ZEbdziPiFxSFs5fa1Apd40suWud7Vqdp+Ud6nQrMHRg\nDZ3okEqJket3ivqHedFvfi55nUpXRR/zj/u/W5S6kV16MfoXSnewLT1vplebdUbytsCxPE7jacE+\nWn1aPZ6ckiw4Zf+M1+Z5FG+XmazQe/ktL66Gi3mwRk3mGh/A7tzR8sQjIneNT62j1GCZI/B0v/ZT\nyMLQPb90ovWFzpxqG44yD75xyOZ3JFnc5wGDKfBJqQcWSOnSC62qrcpcg18ja2Ha+pmnFzT4xiLJ\np1PiAVuZ1tpB42nxqMVtxdQ3UU2JybxHkdWgvO6oEo/EtZD21dfcrjTasggawRhrL317pzgVVcwK\nuwwTkTrjeXLZvGCqkYWtrydX/Cz0a5/tInlP4Q4D+jSwTUSRBVLnwouJqf2ttJyJYinzLe61W11y\nPaw54oIZ1S2Sp8YjOelb1w93fYUtivO23Ymp4cZbO5fHs5bfW1zyrKWtVHtn25//NiwTQS54agqc\nL1QCXDXW7gmlg7jquNQIgDY7lRdTHKvk+QBS2+zEKaURqXe8XIB2hc3TNGu3tgiq1WmFOY+WA71q\ncmo8NdqrK46iQ+TwLMTIZy2F0F6K95JqVq8l29aFP025tg4iD9NC7DYeJy2KDhhZw07GzoA0x2X/\ncwJB8q81VAPwhVE5FPByHUaMGExgJS1/a2x88sbJtU3PwGvAKm36TWXoKS4Y519Zfp9SN6AbE4Zx\nap+xBiFohjvFW8pQS0uw199qdVpYl0U2NlauQUVmo966lYRLRhZ3rckZycPlutqgIhso0hiy7Oik\nW2UtWWqr7jQw1BYarQ5vPZfGswaFWJ4DWj3es8nOq1GtbYiHtTir0ykWunU0LlektNFnnXftXx7d\nIJTTdYzd6k58kxPH9fPC6sDqH0Q9MtxgjReY+mAfscsXRq1+bylCq5w107R0gIyzwjJ/a9irRyvj\n5dEgGanwJS/rt5SJ/48svO621iONEQm3kofT08PX6tvb2ayOrZHFw5sS1tI866r2Xry2r/HQJTqF\nyC1RWwQtScfJfaU9rGCczI3KrzHzm9olGiE6CqCPYOq0MGr1qyMgmGjfqsEntYXTFki45YKLCHGe\nXI4opt6J9OjX1SqnyiBamayo1uC1tC1nrmt5NCWvxUUWeSyeFg8vf41aF2hkfcdigLdiUVTS2ueb\ncPXy3JXsf65bvrGzXcpLnM9U6nRrUdc71nhRYJwuvLDIg+FqA4CMi3xfe/p2jbYOTC15bpp2Q7pW\nY2/FcGsKeosCipa5xgtq5blngUajoxR2vKOcBLloh3P5eTKuXmLPGXbxzk2vXRSd4ZfEoJJrK3k+\n4CzwTOA8l0QeLt4l0rWZoJZuzZCtOM1Y8ow/qRsk1OGFoaRZz1aDNTrx+yboxq/C015YtFwNoqlR\nBGbR6tXirBV4LV/N6pc8ovkjaZ7VX1PIkVnSLVbo+qYcDRdf3yMq8WzJz9rQI882t+AYicPz+joh\nJ8fttfik8MmXaQxqebPNVpg6KXPREXjf1vprqzK0vkUPOrXKahZ+JOzpmGgZTS5tEIny8MgahKJy\nbaKaUqkp2BYFHFH6EQVeU6heJ651phqPlvxb6mhN3wN9ZTrFywWYFOwgFkEnDxAsW/fTHE+gQlaA\n83Z40cBkXY9ISErjT0oze55M5a2DuyS2P21b1jxbwIaWqaSWhiVt4tT25fJjAC4XbqGMWXiukKzF\n/w7+jmaZPzI5ISMkuhjfqrRqcmteI14ZjYjPBWX7EQ/eFl678LbgPKMy7NpVThXWBKVv48LCowjz\n9Jqg9MAtgu9+WIW05yVF+WCnXHxmsO++A51aO6xOJ2PoOr7NMfTsR14/M73kEbtTtK9g7GdSSiP6\n/jJddhHZNdqP/kUQlmXegk1H4ETJU86SZVjy9OrwNhLVnt171hpxmIovglKdW/HwrfDsQpb1t+dh\nJR3hv92j/qBaY2jPYcEYrZi5daGFR1s+JMxlrm8/3wIM3fJiKfNIOCXbIDbM4t1yRGXp/01dEh0h\nWhydYBXUvVz6CzZtNPJmetZpi7XZqwfdbKEtvCI4ujfrvhZpg8JVKpE4D/2Waa0uQLV6tY5Q4xnF\n7lrlkXlbn3VL56hBJzU5ItCLTydj6DksF0a5T3dZdn1ZM8e5JVSi4dlreUj5y/wlLn406f7z4lAu\nszAd2uUsjFpwI6V5C6eaLogumF4zLOW04jn8VMsjf9fqjZDFE8pvq9zuiiXVFK72cr1w64ur8dDk\nrPGLxFk8a3JGP5BoGskRSd/WCU6DXLyFzZyHFDiKOM1/PC966gqYX9psKWdu9ffC06UrBhJtUTdz\nKOu30qY/6emyDGLO+0yYlTkdA6Bnsg2NmjKX8Ij17UeMCVlWlvHCnmXO5dxr8PBvSPND1xRxTTlr\nPD3ifA/9KlusUvniawo9Iqg3SFh5otNDDWLx5LJelJXfi7/mGevbrfTTFkWBacGzx8AWPQd0yNdG\n01pXj8vqjHPaoSkbnePq+sKot6hak7eGtdes+HUNg9UxFFaEqQPB89EB+3x0a4FxEqrML9dqLB60\n2/rCwluPdpZ1kBzWsQZQ5JF5UiVPTQ65cIpZHp6+t47NE8FkFJYLefIs82uS1nm0PLsfPkjXXNTk\npH1IUo5aR9nWmU7C0OVhXJfFyiWFK7HvKU95abR1PV0u40Ml0jKOk+NeaMZth21SN18g3TGIxbSu\nx9gJhJL2zPQsowoibu+elZoVG+EBtFvPRxKXfR9cGqykRrLBtmytpfwd1uW1aVbk1Edt8dGaKu49\nsdHrCLWprFVHbYH2Op3vZAxdgyjKdMvX3Lp0Yl2PvTmo5h9+lW8tQAkjujTfNcouj3Yx9WWjEXxl\nXoMHtHjJp6a4qWyEF+cpw1adPKxh+J6cMi1hXf9Rilbj6T0np11fpmTsKRetcfnvGkZWe/FWmVrH\nsjrZ1g7J47VBweNTU9pbXmLUemrrCCdj6KXCXu8OLb1dKE+JZ6+V/XpwiClqXamXA8c1iS/uplmZ\n081FfsHA4qinzD3FrX2HNccEyVOW0fhuhWs7lsfiWdMTMr/G09N5Xpzk6ZEsd5hFEXlpFnn+p159\nnCIPv8d6aIk7eqGz9qJq7Vwr29YRTlPoQFbQPMxhlby3I3Y4F13G3Bm4Uwu8kgePy+Krfi2XRnkp\ndbSOZbPRNc5Ht9alNMtbLnrWepWnoGvkuQF7Sp++i63eaxqPrpLeSpG2cyla6e6KKnTUuePRRc8E\n3ae89Tm3dK4IT2+g2Ao/6XQrzkPvWTiJsMxTrtcNsBY4c/y6sfjCKJEsbxF5wGz7YvUyBPhEqZtv\nKhrQYxyMcvxxvPPRrQ1x2iKo5GPxkPz4YiZfWLTCnGeLnFyu2g5NKddNEm/P2vrZIZXUDAQpBDWg\ndWm0XFiNdIRanSRz5KXsnbrwurWdpVIuqtNqz9oCpmxPSZGF6tgzn4ihS5fF3FDSD5zH5TD9WTg8\nKW7atq/JoNUXkd3H+HW3xjz74NBPizWeumlh1MXUE1Acp+vNOqMwiwaBalBNtKysU5NBC1uogYej\nR2bYXh1HkLYIGoWBmnWXx1jDw7WKIi/FS6c4OXXzOkuUj8WvhSeVb4F5UIn3rPgI7FKbTdxihQ5o\nCrrc+KOddlgOBPnMihqGHtkgpOU5fmE0zo2UfUp5t2i3YOpaAYaje/2q1o817Fr7Dq2ZsNQXrcrc\nCkv+lm7QdJjMI4kPcB5+bg0C1mDC5a7JACXPZhxdaxyyMHm8bNCIwo2mRxS4LKMRyW29WBkX6ZiW\njBG5vOeowSves3pyxunWYejWJdEyT69Y0wSHaDg0uUJ6FnEC4eyX1fkxx2DncR4JA7p0QdcN6PuL\nfz56wmSV9xe4F0d7RoT8Fqz+ZSnz1nsNZJla2JM1Iof37BpxJa8dfaula5h6K7XKWaWoktBegLSw\nawfwtAoueVyLoh2UyJNrq9KNvNiEvRd5n4KhT3h4YuFLoZ6nu0ElJl7GjSDlqy9xajwAGhAy1jWw\nhtZUZpoXLCWNmE5+OYK0J6A7lzyiW40AYLwYODw3zPimH5lu4eM1sqBQzpPCLacOcp5bcGavDH82\n7dlviji0GoW7d9NNbiySVMOagbLz8MbQ5NawaXrxLZ2tJpNWBtDb0Gtf69mOo9MwdOml0q2gjnzp\nQxmXMfR1Xt5IHIIpG3eBMxaM3d6clGZeGryjbduX567zyyuyF45Ms33y1fbrhsWd0T/vBT6Wnoy0\n1hmqNcP38mizASs/D0vekVmzN/vX+O6f+a7JgnWkrJIiME0TeS97y7RfWr61F6vJU9uM1BLnxVtT\nzqhc0XLebCXSxts74ImQi3+Wi3ZJNFfEEIpVU4RZadqbj6DwyBi9T9Yl0dYlFp3IR/GRughPT2lE\nN+PpSYNXJJbuKXKt31kwpKaoLcXtKWfZn7WwV0d0XU+TX8piyW3h6N4gYNXBB4ktcm6GYGovykrz\nXgal87IeTqcprxpPL180roVnjceROHs0vVavX/IUIuXMjwHgboiZNJx9wrgtBa4tZvYLiOHdL5rx\n+RI/P95gq5N4Ntr+3w/1PtlfpiMALC8YOppa+66sHhE9L0mS5FlbOK2FLdpqDEZ57sXUI6TxOIQ2\njwpY4+pHCKbxiHQub9FTxrX4wnvPtWXB5gjatr5wikLvBIYk4ZKWS6LXcAop5bXCp3Ra8JQ0Fvmw\n8Gk/62U/dYucl9Bu0dQNSN7pixNTf1HU6s/RozK2KuMIyToprFHkW5YLmDc/Yue6a9/t4bpDXjax\ndQXXImmlRw/YiUwXW+WI8tzayN6H4y1RRl982yLprcHQJRzCMelcprSa6b99zrnt1SLxbc5zorVs\nGv7NZWylNZ8Lkyn7qdcw9a4nhe+d9QJ/ZmnNhDVDSptFa7NEyVNzooiGAV0WS07JwzLkpJzXUPKa\nFR+d3XAZm0l7SRH4oDat0nBz78VHOlcU1tBGcuvZPJ6tkIyHiXv17L3QItpZJjoRcpH4uOWXvj77\n3PuTdaz5ZlpfBs193NcNqGH2nSgr/yQ2r10orcW5bScvjK6d4WIpbEsRwyhjKVlPWcp8so5I2JJd\n8tbkqOHhkqfMr8Vpv610q3xEP3i6YhN5+LclhBX2FD7PF+VpxVl8ap2pVo8ns/ehROvgcnkK2bO0\nJI86nabQJyqtbjofnSxNUqv5eN3pb41x50VIzWtkfQ6LvXiaLe66Yl2Xz3+9sLjNiyyCxJV2101Y\net8Py8XRvE2LI3b5rtG14HEIxjOCLAgziTBPbyFNf3AlCZHWYvlGSLPyo5i6R5qB6r2TQ6lmPW7h\nx0mz8iM42J6jcLU8rVj0Fkim9tJqzx7ttHU6RaFLfFuej94rh91r8AkpUi1OU5gZl/bx8Dxo6Dj8\nGUSXW5iLoktGYLnJyNtk5J1DFP2mNB6R71bWIb857xuMHt/dik0fDSNHiBtvrRuzwhQtoL2UeyK8\n9aVZtKUMkGXdi7kfPaDt4be1LdZcTiEJLawxdLLeM769hiM8d8Q1tu5b7XJRdH0EwRYlv2U40Cz+\nRR5ncZTOezFr5t+BZ2h4s2uPPJiG5/Fm67UwlHBNTg+71n5vtbg9mTSerTykvJvIa+AtDxipj+ff\nugJsdUxtelibMso0SwaNvBX3qqXlpB9Dbtf69Kc/jfv37+P973//EveTn/wEzzzzDH7hF34BH/vY\nx/BP//RPS9pnP/tZPPHEE3jyySfxta99zeSblWQ+OEvD0LXF0wypDKwb8g1EcpDQrfU1hm1dSl3m\n1bHx7HuuY+xRP3UbX3dvSermizC6UT/nhR6kg61QPGVuWcAaD6+89f1pEKkW9hS7zGelebi85Gvx\n3IqpR+qtyemVN8lj0Dqiegsf2ugjw5HOFOlcLXEWzxoPy5qIvsQoz4icMXJLf+pTn8Irr7xSxL30\n0kt45pln8O1vfxsf/ehH8dJLLwEAXn/9dXzxi1/E66+/jldeeQWf+cxnMAz6lJ/cFkslqocBLGez\nZKy9vOw5K8T1JdBSqZP3CE/vFst7fcGGRqVyLneHci8Yfo66vXu0HVsvBr40Y+qWa2OkH21R5p6l\na5XXlHk0LI0sbvB4xlztmbV4j/hzcR4apl7jI39HZhKW3FWKjgKaRS0rly/BClt1Rzpay6hlKdBo\nnFV/Dc+z0rxOt9frxSe3a3zkIx/BO9/5ziLuq1/9Kl544QUAwAsvvIAvf/nLAICvfOUreP755/HI\nI4/g8ccfx/ve9z68+uqrTsWlgu7Zph/tgC2p6KZ+v/YP13B1zsPzKU9z+Yyz3w78XBJtMOr7y3I2\nup5xYJuMtHTYEEzLPovad69RTRdEFaMlUwuPrXDIVuJyRdcc9n3ngo7Ba+MkX+zWSx20xmpZSPUW\njlpfvPcctZcq9wFo6ds6YvPhXG+++Sbu378PALh//z7efPNNAMAPfvADfPjDH17yPfbYY/j+97+v\n8viTFx9gxAUjHuA/P/0IfvnpfwsgK+PpUK1sWedwHgTIA8bC0Elp1y64kAd+gYU6DBhXF2Ec9lWF\naYKlhqXfDUO3KKCVVZ5GpH6YnuXSAaMhbzexXBTZUp6lWWXWO7D0+wCsPEeHeT3WYVu8jPUc3Fu1\nw/rgLI0HAuk8Tp4l5RGX86rdjr6B6AUXsgHlgVR0EptnECWRrr0UWS+V20MaT4+vlX9rPbw+78S6\nBOD/BvBfm2rdddpiSgnJBG1hpv3P/6XHJfXzBv4eD2alzRX0wqMIZ4U//Z86BcebRwWDnxRzOQpr\nuLjUQVKeEjOffkX8xqOUn4FaA4tUS93JsLZnoRcFn0aMK2WP8lvVZpmasuTlasqceIwiLBWyrDca\nlrxILplXk0PKSOWtAUCW1XiMgXQ+eNa6iuRrlbHkbiJvVJeNaj0coL+wmsK2OopXr+TF81kdFEGe\nxNfq5IDe4NpAxNOofpleG5gSgKcA/BKr9yuVMhvs+vv37+NHP/oRAOCHP/wh3vWudwEAHn30Ubzx\nxhtLvu9973t49NFH9UqHAWmUHi35oeV5LHZYKu/1IV1cqec0mZ4hnpqC5t430u+dY/98EKKBgctq\nzS44vm4t1MrgssFoXhhViStWa/quzTwtKEKDAbS8WliWkXy9sIXLWzMNjYfMIxWyHBSOJM5Tawet\nrTUeu3F07eGtUS/K2ysvwx5OVuOrlfM8Y2o8I/lbFpRkukdeG3v1bqttRc8++yxefvllAMDLL7+M\nT3ziE0v8F77wBbz11lv47ne/i+985zv40Ic+5IiaXRJzmPui++HpUdfXy+kHfE1U26qvbb+PEB8U\nlvNX5t85rjwXhtI6kRascPo3+6bTBqMueXj6WIf1ovBiQuxwLwsG9b7rWtgiT8lFeHC5rompc55c\nF0Sx/qth/FKI1off+uI8HiTHnksfWnl61s5WzNyi6LPFX7wLuTz//PP45je/iR//+Md4z3vegz/+\n4z/GH/7hH+K5557D5z//eTz++OP40pe+BAB46qmn8Nxzz+Gpp57CvXv38LnPfc6FY6bH4Zg5hS9L\nmJRfTl9fCp1EHiLKNyqNNS18cox93VhZSaeZT/wiaZ2OW2Dt0jBh6ejsS6KBSYnTIDEoHZW+YWAN\n5VmXYliwZuSiCO3SixrEaF2SIcOcaObsXeZBrz0Kz7Zi6heR3nKvQU1OohaeBfNtuyPWL6AV95Gd\nR3uJ/OE9ObU8rXh3BOs/gmqLJ3INQqPYgJbGcbz205QVpoT/9617uPQdLt09hqPfm23bHhfcm8OT\n3foAjyz5yJ7N6T0ezGUGdHgwp+VtQP2KDz8K67Li0xdlc75+ycvt6gcsjufNTouazd4x2TqzvvXR\nXVP+ER2GYf67dLg86HG5dBguPYZhUvLDpcc4JIxDNy2OXvr5P6Y/+hZIYfO/WjxPGxgvL6/kSX3X\n4qOlQ8n7QKkLLGzxHEX8iHWb8Dycp8Yjkl4rw2Ww8lt5mogXIGYjCw8iPLK/B4LPRYS1BxoqZeRD\nAesHk3LBKGfVaSnUixLv5dfksOqN8oyUB4D/ATV1fbUJnFvpgqGXuDKRxLq5b/o6T4lFW6c4yk07\nmTT8XW806XuuH8hVygMWL2WysPfyedb+65p8xWFddPmF4gFTQAkts8fE/nicll/CihEcXWLeHpbu\n8dNgoEgeT4ajMPUaT4//ViTEZQboGJgMW2Vl2IJtWl6mVY/Fx8K7tTivY2txLZg5PbsH2dRecBte\nrtEpCh0AunFEN6w3C2XB1uG1Hzr3Oc/KXbskOvO0t+73yAd/hZ+jsKE1bHzt+86Vc2mb57jpGeKY\neteN6PqLfosRy4d+bPMxX8opZbT+F4ETNYXshT2enj6x6mzB1DnPvcp0K0/vuTbTFmYS890iWLTM\nVly6lWdrp6cy0cOGojwpfd8l0edY6JcBaeDb9SeSm4JkuEM+NEsqcG0jkrWwaW0+Gpd0MLBk+3nn\nnOfkcqnftLSV6JLovr9UL8BAN8A9rMuz2KP7NizDZc+iZ8SAbBmcpGxbFaW2oMnrlMq7lS/nEc2/\nmVpG0AjxRbxoI0cW/rTOaHXQFsXoKegtVONXa9/tq9+nKPTpdNcRaRwgrWxNiUvXQBoIOOQCEVf6\np9s7SqXrIS9L+RKy5Z7zxqzncja9XZFneef/qX5JdEqYLPZumBdIFeG4YmpR0NqsWfKQeS2HA69O\njWdS8lozbZ7Py2PxtUjK5PGzeEm5ZP7as3u8QxSpiAsaDVsQBqdaGU+uiNqyIAwL9rDivc7gTQc9\nOSOda9ugehrkksYR3ThOil3gzBLrLg/YWuPmC08lXuLr5ZEDGVu3znopeXAsez24aBi8dKoMt4+L\nqY9IST+7pbj0gvzSO2VdgPeZrQoaKPtuLa+Ho/M4SxFq/LW6WgYBjZ+Fo3sK15JbU8DWIGJRbWCy\ndFEzWY2mKfjoy4yGrTwWHl7jpclplec8tPiaZWMpdW8wqL20WnmdTlPowKTUe2alp0LZWuefk6IG\npNTb/OAAACAASURBVOLOedYQDPGkTTsa8UO2OE+LrEss5KJspvWCrXw+Lifn78lCu0fJS7Sbz033\n/dJh90NtbafWrzUetb7YcpaLx1Oz1Gt1t2L9NfxbS7cgmJavLrJ+0MrTZNY74VZqxdYoz9Y6W7Az\nqzNFFmD21BvlyfO0Yeq7tv5vpe6C6YiR+d2R7zmHWyhMF0YPc2aCP3g4l1krcM13nMrINIl351Dr\nKJn93KPEa2j1d5cHdF0uRvklXwdo/utUTIpOfU/Gd1h7oWk86F1fWJ5UCXMetbAlJ9U7OGUgynjH\na1ybqD2jfutdIE+VUpCB9ZKslxYhydOSTzYG71Bcds2fW8oZkQnQO5f1UkipWxsfLN9Sj6fkH2vX\nEzF0gBuQ2UonwfjlFvKC6HU4l5EWsX7C4hpDLy+glpY091iJYOEW9MPTy9+2u6SkRe40HZtLjabK\nRZdekBujdRaMNXu0ZriawRXF0SPjoyaHFpYGkmepWzJIdIHnkTPrI74Yi6cmq1VWy98+Q1eo5cjL\n2nRNs/ojDai91CjMYsnZuoqvyVmDSKyjg71FzsiLi3e8UzH0NI5Ig46JE7zCcXS5ELrG0SUenpWz\ntZiasXXbD10rL7F5S8nv9Wex6l384I1F0cUfnZ/xovU1+Ufk4esWzFJT5jDy7A3X8tXSJC+Z5yhM\nvcZTUo2HxXMX1ZSels7TtMUMOcp6POVox+OtDhyJsxR0S36Lf6RMDU+PKPU6nYehj0AaxuKgLmml\na5izrbxLBa5twMleIrqlLM96sZQ0t+57rHF5baG2TFtb7bmbaN41JU5vUgLbXDRfemEd1kWV0tHM\n2nfaoswjBpD13cjvXQ4sXljy0uqprRdIo0xT9pJaMXVPDqsurQ4rj8enmTwhNQu+RY1YPGSdW33V\nPeVoNWBtkULm39LI3kuk9P3q+BQM/d4FuIzAOMvfDwMGZkH27DwXUp4XI2zFTXwGjBhwEQstHJvX\n8HFSpEQRDJ3z3EelAm7B08kvHZhwdFWVpxHoL5hw9M6H/SRpcKQGgxIPOfZ4Z7FYYQ0P3yKnJ5ck\nzvcmMHX+LC2wsvfsTUs41L+px0gmvQhLkukcN+aN7gkVyaM9HDUYP5KAN5DE2GV5iywevE7tBdyD\nfpxAjSdP374wcp6FjmyhA8D6+jcfM9c8Vrp5MZMvaKYlbn1eg3QFLGRTMHTLe8YrJ63unOaVi9E0\npk+WeNdXrHFgUuadg6Nbxk3UAvd4aDPzGmm8tTo8yLOGsUepxSLnlj799sq0ysCfQ9ZzNYpMk6z8\nrZaxl2fvFMSq1+tAVprVDjWrfy+mbtM5Cp3W5wCkAeiGjENbGLq8RJn7lGu4utysxON1d0h++bSH\noWtQT/yo3a2UimfnsuYNRpoMCcwXXTvfZcrkK/OkxEcWQHmcVOgyz96wV3+Nh/ytkZbH4sHbJlpG\nUg23t+o5jKyXy38f+RKjeWDEeZ03EqdhjDLNqrOlTEt6+0s9RaGn4oC3EWnG0S1LfCnHLGUeV/7J\neCz8ykO1cj4i6UcuPVPKOvnZK+UFHWusHyLNaJelnLZpSjuoi6a0gkcaJ5/02SLPl0jLGsdsMGiW\nrLQoc0PZitvq2zws06Wu0MpEYU6rLosHl5vaQitr1beVrEFHk8l6du/r3SSn12C1sDZqa+laB7DK\nUJzMo3XW6BRS4xnJ770Eq0wEM9+artMpGDowGYzjyLxYh0lZXbp+Vlr9rM7GAlNfykOeo57913ke\nUo389NGpqX0MnQ8aQ/Glr2mcy9Qx9KkuifWv4aC1THSsmF57WZRw9KXsxZC9w6T0LwpfXkRi5tL3\nnJpHO1NdwoUS366FCVKUmPYowpI0OblcBNd2sH3TgewTTvi2xbOFeHtxnhH8O5rnCDkPJ4l3a/i3\nJN5YEg/X4hLiizwWPg40LkI4VMPU7yGfAa2lUweNujSfQXM7phHoWDtzRZoPx+LWdYl1JwP75gua\nGWrRejfH0MtGk9Yxv23Ix9CtOAkf5dPQ1zMBG883650XRMtNRrpfOvph+rPglxZjxDKqNEu3xcVZ\nk4vzbLHia4ZQrbzHkz8H56FZ2BHY2KtDysx5tranSZ7lWwt3SnqrimmxwPfQ1g7YasED9Rd/HKZ+\njkIfgTTMf+OEoS/wy8oNcYDm+83hlBJX1rFyCVlwYbhvt+ZTnhiPnK+UyyL99ZfQSivJA8U6DPls\nF+O9kytj4ru6uEL3IBaKi8AsSfxlocvvXJtJa9COlEPypP8af62chk1reaSMXn4tj1WnRgm6XF79\nGs9ae24iKXRtkTLyEmWn8TqRjJO8IxaGJofF04v3YCOvwfkHZKV7FH+Z5yh0YMHQ0+yPPmHoJFR5\nENdaWecjaHlYeslomHi5iUh2mayoKczlKPOVA4SNf7crbD5QlXg+RDvkc9PVbpmwvkDaO3VRGgoR\nJa99cxbmLstq5ZIoI5UmlLBUfFY5ztP7RriylBa3VrcVp6VrAwHnH/l2a7pD8txNlgLz0r2wZeXX\nhLesgGhcVKlrPLhc3kASGbWtdO9lxV7keQodk24huLcbhmXXKMCVuh72vFHWcdynPPOTZ5MnVqa8\nHM5Xyly5ygvnokcFcJIHc5WXTMfvHJsukZ4ukDaP2U0AesOy15T8Uga6waQp81YDRPLRwpZhZekK\nz0Bq2Rtj8dSgDy6nBcu0fIEROVt5qqQpV85Uvnwt3cuv0d6NRDJOO9TK6qCWovd2c1lraq0brSI8\n43TOoig/LAnTPpexw3T64jBg6KYHIyuYL34mVpgveg7gVrjceIQFVyf/lJy2vnhaklzwjGw04jQp\n49oInKmVP9GkwLOcw9Bh1BY8AawvkBZkbcChrNrhW9rhXQPW3z5fsNPCfDnDCnNFGZVTyiXHOHqO\noxdAt5Sh5yJ9pT1Hy8Fjm7xq09aChiCsz7lC8/qth99KGk+SxVtdb5HBkpsGGm9jkZdep3MsdGqf\n7Co+Q7rSh3xS6mssXLv0Yo2h84VOC1+XMAYttK5hk7U/uzzUSyNu9Usox4JWWkhbG7D80lMa83EA\nif1xYbUZpYzX4A7NGPIMPctqtvhrYQmDWPCuBQ1RmlZGg3AsCCb6FUk+Hk8NopFhC/XgPON2RIVq\n0ygLDtEEtASr8dT48jirE9bqpbzW4VoWeVNFC2KJQjPbXtp5Cp1h6MCkzLsFS9cXOEvsWt9QxPNp\nyllfRMWSxhc8c/6SvMXRtZLm5dtf0voZ14MT33ClNbbE0fULpKErWRlvKXpOXl7JU8oQDWv6YosS\ntJQoJ0058oGsxkOTy+Mpy0ke3nNbfHYr9YjC1hR+TRDvhVh5NFjDsyAspSuppqBlnIb983SLnydX\nJN2mcxQ6zShGFLOL6fTF7LbIrU7a0q8tfOawvvHIcjeUB17ZXjH6oqOWV7skOk+f5AKrZ43nBWDu\nMin51yglMBzdyd+NvkGhlkHdyCIetVNU+fcRCXvkfZceLEoybfWQ4zz4N7kVGpU8PB3k5fHeYZX2\njATaS5RKXzZOQuwiak+pyzitjlaXRasBa3y24PCU3v7STttYRJBL6qeF0XFR6tNhXWPqgDQpyx7r\nTUTysK4kHn7ajFQ2ZIcR8hKMzMPG0Xk60IZxj8hYP3FrodbLLghWKXhoGDmA4tLoQfkYLByZvgcL\nMx9F3hoMKuHUWljybJVT8rRwZmoSjqnTRqMjYF2NZxRarh0axp/9KBh8xZSUr3YQV7RSycOiXYsB\nDTytF+A9G+8oLVR7ds439tznWOhEc2dOQOEWne8ZzZaz5n5YTq7WvufalXLehRcajj6lkapbY+jy\nOF5JWY2XEIyG4WP1O0Z8plGc7aL4pZPC7ywcfWJoG0AenGLNyuUsWAunYFjy5IaMVp9lHMo0zk+j\nGk8NU7eeg6d7/CUP+VsjDf6RsjaT91L3hiV/oghcY00HtQe18HEtzrKONdk5H8vi3oOZU3psmnc6\nhr5Y6mxhFADWF0VrWLi9MFrmkYug+qXOI/hgIRdGM1n4vva3dfOQV6e3ZmDVlRLQFVi6ONuFFLsH\nfVrfohXvKW/5J+uR/CUPXoeUQ5bTdEpN6XnyabJpbSQVvsaDkyaXNWhYPD0Zt8GyQiCtkpryrY3i\nkTKWHF5n1fLVePL8rUrdwr5rSruGmcfhl3MUuphBkHVOC6NEmodLabVLzxGK1/Fyrrwpjh8nUHaB\n0prXFkd5XnkJBeHca1/3LMPKC2WVT9ax5l/D0Zc1iOWIXSN/Nx8HwDce8f7fgs+SsaIZVDzuqKMA\nNDlqipAbVbXvT/Mh30JSx0iK4OFWfkuuXUr8mqR1hlrjWhZ59KiA6OYJzsNT6hrVPhRPaT+sfuhA\ndlucn6EbgGGGp/rLfHBW100QgYKZZ0wdi1LjvufawVyExwMJA2u8HE8HcZUvi+okasXQZXntpdY4\nTmc6xusN4+h0touWzqO0s40mwfZfEq3KhRKrlmGP5IFeFk9OGqbuUQ3/5jy4b7tMb4VfIxi7x3MX\nFJ1YQSmIPBhLpkcFB+OhHbYlO5OMk3i49CGP8pQyHYGpk26xXkDCw+mHTs8j2no6snuc3RmzhSw9\nVUq4g3vCaBZ9VqYlBq/dUVpa+PplFqXlrh0axikboKVfu5wNcA8Y7RlqL5jkJss9gWHoyjiwwC6E\npUuKGBqWBe7Nir0ZqVXGCst6PVl5nMZDpsk8Huxr8Zf8tLosmWWdsn0g8ngGIOdpoQ6bqMZI6wjW\nNMriaVngWl1a2Sh50zXvZVnxcgrJ0/Zg6j6dj6HTwuis5KdDu9YLhvJCi6zoS8zcOr9lja+XPuoc\n77awcSIul8Zfx9KPIQ+3X2+IYuXSiJSGjKPPWPraH90eBEwFKf+s/BGF3xqWuLzs0ZYikwpXU761\nPFEelhxRnrWBSVP6Vh4tvIu0lxlNtwSpKX2Zx+NnxXnlW5W697FcA1O36RyFDmTIhS+Mzh4vtMFo\n8mXkmHj2zSbii6E8rJ0Fo+Ho5SCgNb2Go5dKkxy2dBx9feoj51Eu1hI3QCpmGkT4jIXj6OZiKCYF\nnboRXT8fsaue7TJmHL1XcHSrD5IhEsHMNaXkKesIDzlIRKxUSRK7pvwwfteOy7XOeomUiRCX05LV\n4+m1RahyKYhVqSWEF6YyW/B0C2OPLvIQD6uTR/Nz2ouptyn1czD0BwAeQYlBAvNRusClB7rLWNyR\nKRWchaNzMIPn4Xw0HJ3y07Ch+X9Teq4ntogx1RkFSX1rftOl0QkYLnq5lEakfpha79IBo+hA/DG1\nCywsDB1Y498ebKnl8ahW3sORSW7Pp5xDpy1yHU2aHLKL8GePQr4yfFXigqdKmJcB8oNoF0VoDytx\neMB+WO/yCUmWnJYcEfJ4RtLXdK6FznF0mumPmC69GEd08x9A1in3+S69PriFLi+4WO/Y5Jb5+sRF\nDbrh6XmmsMbSddK8WjwPF6zSuPWuEZenV55rlb8b0HUXdq6LUrFm8JCAnkXOeWmGiDbztgwryUfm\n0ciz4lswdUmWda1Z3zU+NStfPruUF6gbf5ynLKuFw9Q6FdPK13ho1GKBa3Xu4Unx1uzB+lhqaZRu\nyVez5Necbp4E1FLg6UDe7zKMSKM8K6XEzq2/cjMRx+G58i8vXe6YMBIf15W77gveCXm1SzP2kHz2\n9XkyOpZOuHnXMX909daiEepRAFJ5lUKt4z1lLuO0sMSdtQHDK6/JFcHUI/XUeMrf0TjJE5X8PL0m\nRyQcJu+lahjwFkG25CGyoBMtTipcHmfxsOr0MHNL3daUdm1AKHPePCnWeaHckXH0NEoPFxQKDCDF\nKi3wMp3iLEtaO6yLylJ9XAaJf5d8Su+X9WFfax4owppC5th7idN7Z80kZG+XvEt0WCnyZW2B3Bgt\nZe4ZNFuVueQlDSQvLHnW6rN4erw1vjXScPmaIWYR8bDaRtbp8Ww1pl2yRhRiLMOy4lrlFo5svVD+\nO7Kow/NraVZ+D99urSOaHlPVt8MPnZ2VkTimPkwbjeiOY1KuF3SLQuQ4uTyrhZ+hcpmZUmqPC+Rl\nzWnmMeIyjzEWjp4bvXb9BdczkcO0ylI6SbltLpNXC7G7oDfPR089rUFg7ZNO34flppuwhiw7rCFF\njYeEPGVY4vQSUozi8DVMnddfc0fmfZZ4Wr7vEeJyazwjrtsWZi55QgmfRiSIvDTa8zHneUYjD5HE\n4a06ajJKHlSndcHzljKU3oaZW9KeQ2SZAxlHJwPxMs366dILIgsa4dZ4N59IyOMztpwbqmcWLokz\n8cgKWPMxl1Y1Pw1Re0T65WLaAXw9KWkyH79pqQbzTIuml2nhlCoojKhRhwyp30V2WfI4jUdqDHM5\no1a8h6lLr5bE8nRYy1EjyZNk8DDzKEWwes9AvDGvFy9cq0gTVOtkUQucrGmtfIQnpVlyb8HUa148\n26dN50IugAq7lPcYz7DLuN5AlL/BcpEysTjpBpjhGV6u9D3Pgmm8LWUr/eU5Ps9x9P1YurzgQ1sY\n1jD0JW3G0Ql6WR3iRe5GfME0M1j/8TQLOpXKlpethWW53BD5v4RdZJgraqsuS4dofCRPTU6Z3+Nh\n8YzUGeWp6TqtzC6SFXJ4gsI13EcTJorf1TpNrXwrBu6NsNfC1G06H0OX4WJxVL/0ApCYd2zz0BRX\nbkaiCruirMTeywVPmZcrTun1Ui7G5sGG+ErZJL5ergPwheESp3cP5iIe8+FbGUeXOefF0H4A5Jkv\nXEFZCszruzIslYlnbVOcFdZ0iKbEImkQ6VYeaS1bStPiVxtsPGtc42EpeEtXWvrsKqQpcF4pV/iW\nMNZAYHVGSZFBwqrHq8/iI9OsD8MqJztBjM7H0GV4BNKM+42Ywt1lAPp+VmKTSptw9Bxen5feF+Gp\nCnoZPC43FilS7vZon4/Oz3axx8Wyi8ozXdopIa8HxPJPrcVFNH3SuxEYBoyjgaETSb/zpMQDtp96\nzW1Y0ry+Yt47KuWMYuqjkRbB1GtycvybeJDcUq7WOujZPb/0yFpAtEyVkhAiAv5Lkg+jCRrpLNqD\nJPjYtSSJ7cs0KVeEn9VhI5h6vL7zLXTe7gxT72ZjkagfhsInPWPEGlwyWcoSR+YYc843Ljs6Sy+Z\nzMf3MaeZAP+7gHD345wV6zRtleK3G1XkTsNym1FPu0dVg8V4CssiJ3ydx/GZN8+n1efNxqXR4jkb\n1Kx+jac1VmqYuseTU4vla80CrJ2hPG4LBFybXYTJm85QRV7Y4hnF3LU4+UDWgpAFpfCbk2okO7iW\nvhVTJ3liUtw8STdFBVOnI3W7YZz90ddb5aV/N7/QovQDLw/n4sfuUrz0SeekYdVSUZYYPYq619DL\nPjWfoaT1wWVyoXitb8flbtHFH31ZtGAZuxl20TD0DqWCk2lJ+fMwbslXgyC8MC9fPmzOJ/NaPC34\nQw4Oko/k6dXjwTYWT6kvJQ+IdItnhO8uxa5V4oU9Ja/BDbKMZi3weKuTeXJ4PCy5uPw1pW49k1f+\ntit07684qIsrde5/PorfJb5c4tLyQgsUSj9j5usLMriNrW8cMjbxFLi5vJ90Xdb7y8/BF17Xg4U+\nUDBey8aiCUOXfYTy5I1Fs0LPGcp+VxbWvx/r+/PyWcpdC2s8awpMU6RwymgK2lKEGv8ID2sw4r+1\nwct7dotnbfCz9NUmiih1HrYUHv+tWbSa4J5Sj9RLfCOdXeb3lLo1UHHXsW0v4ByFrl0STVgredDN\nypyoY1Z6hlMmJUQwg4RctMVKfQGTuwVmnn2RtlaWJAd3fZSkj7XWZRX2JRkR6Eerb+omM/+kHcqV\n800HeA3ZjXH9wLbxYMEnNWXO462wN1vXeLbKqfHUSCrow5SeUo91wJc1U6jJFX12j0eINOWbRLhW\nfusl0VFIRdbBy0cfvKVBtXSvnvZDuTjnc4ivmRhujOQ9R9SxG41GkEKWClpi5nSOS47T4BLr/JMp\nP/l22+ejcCXNfcFvkjqQD37DAJDGBUdXlX03AP0F6A183fNT1/LXlH6rcpHWaQSn1+rReNLzeeQp\n38TSeZ1RhV2jiOK1eHpts5u8Fx9V2JIinecI0nh6HcGz1L3OE1H6cecHXurmSdv6z9ENFu64Uh8n\nxbmGVKRbonaOy1qp6xdcaG6JmSTcwUmDSCQ0ko/UrStbSWuemisloB8dMPOYt/8n4YeeEsDhlURH\n6WoHd3FFZM2ia8pcKjMZlvy8sMzP+XlWLE+TkIMkD1LR5JH8paxWGa1O+m3xpd8a1FPTrTJN8juE\ntJdkCc+FqeXROpplkWsPY00XtfykYK36PKVuDVYePCOtgRidp9DlGS6Kb7q89GLaZGRj2Bxjln7Z\nErsufcNLn3K+oKj5sSfYWLgkbcFVu1wj+rfeUBSpn7fLWCj18ohiFJdfLHj6kmG0+zuP174FqSyk\n0rF4yrClkDzFr5XT0jSZ5B+UPNpv+QzRMlq6N4h4cnk8pXzaAGvpoRBFlLgX1pSd1/FkHqsT1urg\nPKzRsFWpe1MpiyfnG8fAzoNcmIviSrmzPISjd8OI7jIskMt6ZyS3mvWdnVoct3g5lTwnfNvC0Tne\nvd7i73u08PL8wgoNX7cWPddyr+vgMwOdxulIXX4UQMF4nA2O0YZYaji6VFC8fA22scKcbw1CWT2T\nIbMs04IIcJ4WBGPBMrXnkHJLObU8kbbxIK7DlLqlTD1qxbxknKbUvQ4qKYrdW3JE6rDkqslhc7p5\nkpCLjLugwNG5fuFnu5QLpGvIRQtbcQCd7XJR04CsfL3juLpFpoyj+8d3HUeJ1d2zRVa3zHwJRt+v\nT2DMmRSPFyILJtEUPH2fPL/13Ukl0xImnrVBofYcWh6Jh1+btEHBo4i+qbUfLxM3Dg3SOoAX1jqT\nhrnLPJFVeS+uZY+lN9DU4BePZ03p1+mcnaLSD53vopPKfsj6hA4BpCN1aZ8oQJZp9lbpMWBEBw5P\nALT5vlviOLiSJz5jkc6J+NGtR0C5m1Ra/wkoeGUFK+34NOfR00ZWH5dpSrsscuS0taVOnDsMGFNC\n180nVc6sV0cBdNMsZUQqZ070odM70ma8FM/hAItHUafgWQvTpkSLp4QUZN4BNk9ZhlOa6+F1ajxH\nJQ6VMjyd8lCdVG9UTi6H9Z4g0mQZHj6c6NvhjQWU+KsGcfQoheJx2kPJ8lqHlDwB++Gt/PLj4CSf\nVZL27Jxvnc6x0PliqFwUlc8yh2mjER3WlcY2f+68gChxdJ5vEmaNVefyAIr8acWjxO/HJf96w5OG\njWsXTsvzWixMvYah5/IDusQO5mKNrWLo0hfdgvYsi04aHxYMwCGZlrDGk6dpeTulbMvvWp2pku6V\noXStTll/5Fm1NO1dRfjtJu3FW9CIJ4TsDFoeL87rqJFOzeOtOrVG0+qQ6dsb/ByFzn3PJX4+ovRT\nHzGd7TJixtEnLH16ZBtHX+PqWPJpOyv5AiMnnr/E30tFWOLd8nKNm4FcqL6Mo+f1Bno+C/5JmHaO\nkgtjeQkGU+wJaDoKoEWZH3WcrlWHJ6fGk8fz76x16z/npylQ+VvKyevU2lOrY8+zW/JsplqnsPLw\nuKgfrCSCOqIPZMlm1bUHU/eU/sOk0IGVR8sSJt17QbHRiDzoiLr5bBcNRwcglC+WjUISEpHnnUxn\nu9QXQWu4OB8IMjbv3/O5l8rB54K8UOuUSXkzkY2hY3oB2imM9L1Y60eRb7kVWm0N7/3mIvpAw+25\nHHwQqPmlt3iqReT0eHrnv3jvpJmk8oq+JIg8NSE0Qa3G8RpMotFHN7D34VB6u3o+B0NnNxRhQAl9\nURyHk+Y8y+7RHsInfcq8vrGoDHOrXeLvFDeF6S8vno5Iy01BEkfP41L5AsrBY81TvsjSrl6nafg6\nAPRz3mEejnJpHYKh9YQxAQN1RMVYSB21CzAODJxOmLxdkKZ3ycuSUtLwdYl30zcgD9kblLA2q10/\nnF6HhrHTbw1T52Ukfw/v1mTba+lqdXJcXhKP1yBeyZPCEpenNrJ4XIU4xqwJSnE9yiM1ZR4Nq+bl\nJEau4d2ejC2YulcHdQ6J/fNylCcm37kYOv/TcHRmwS+HdfELLxiOToz1S5o5BAKWluEJ6Y++9knn\nd4OWMI+F169x7Ra8P7YOIJ9DEn+2FU6/wtDnMouf+pA3HS2JDHqRgwC3SvmMUua14uUsNAKl1nBg\nGbawa4mpR/JwObX8Fj9PjghP3s7Wc2ptEF1f0GQnOlRjWB1IpmvCyhcjO0IUD9fq4Dw0S8KLt9Ks\nOmrpssP4dK5CH53fPA5YvF3SCHSXEekyFicwysU/S6mXC40ZRwfWcIpUyHmXqBwMsJTvMTA+eRGV\niPPcCr9opdKcUvLH6lmtOpfnmY8CSB0/KZ4r8XENu/A+p/VlPlO2+qf8FqxvT8vD+cq8Xp28bkv5\ndk4eSVp+en7Jg6drZayBSsot65X5IzxlWi3fLq1RU7BaHs3PXJLGx1L0lt96La4mt1VnrYwllyxf\np9sBuQC2GyO7HDjNEO6ln5tnPttl6Dg0klHjSZGVYVJ5/AIMgk6GVRyJtoZSOiedU317fzswqXcj\ne17sXSo9KfASZx+US6K7fpiHvg7Lrd1TxVkg7YILbYYr81Jf8C4xpu9BzsblzNu71MG6eFrWcVHK\n8Dw9y0NyWjyPIP7sEpXQSLYnJz675+hBpP0GI9xMCTYUkqBf+iA70z0Ui2ymYNqLlHVadVCc7Iwe\nD6vOWhlKb7mIY03uWPvpT38a9+/fx/vf//4l7sUXX8Rjjz2GD3zgA/jABz6Av/mbv1nSPvvZz+KJ\nJ57Ak08+ia997Wt+zRwy4l4tFCedQ1ie2tku0qtFLg6mQu2jKEcLl+vF0/WJjkR5N+l6J6qsQ5K2\nO1Quaq7T1vGWy6IWxxdri52jwsqddo7OR+1q1I0xizw/rG5ESQOqZtxoFiXvyZYhJI0ubj3XZhjR\nma/GEwYPacVHZwWyvShfzaC04q06JPpx1fm8bHxtkdSywGWeWjmKi67a85cqqdbZWsoQRRaIGaHk\noAAAIABJREFUbc4mfepTn8Irr7xSxKWU8Pu///t47bXX8Nprr+HjH/84AOD111/HF7/4Rbz++ut4\n5ZVX8JnPfAbDYCgCjpFLt0UNU5/LLL7oA5CGccbTJYYtz01Z+2wDeSBYx+k+3mW6foSAjnfXlbyF\nh7fg6xZxH3bpW1+U5Yo80Znp5IteCIx8+QV0JZCUPws+0SABb1buKXOLZ9ng+b/2B+jPAOe3hHas\nsh4PK04+u1YnRLp8dq1NNZ7y2WVbWjw2kTZyahXIUcXqRDXBPGxbi7Nk0fJ78dqgYZXR6msjt8RH\nPvIRvPOd71zFj+NagXzlK1/B888/j0ceeQSPP/443ve+9+HVV1/VGWu+51LJS+UOZKUOTOejz2e7\n0CXSJb69VqZSYa6UGlOkpV96zsMP9SoHjUwlbq0PCnKBFPAVs0f1QaCUZU0sP52J3uXRlLD1vIgx\nT5PSnKfW37nB4SmcKGYuw5KHxVMqMc9q1X5rcmm/NZ683lqcTK9h7NpgJH9bPGWajPcGxJqhWSWt\nsDa68DQrzuNDndBT4DJOq8fj4WHqtTJWufYG3oSh/9mf/Rn+8i//Eh/84Afxp3/6p3jHO96BH/zg\nB/jwhz+85Hnsscfw/e9/Xy3/4hexPM/THwCe/k9QPVuWMMNWaU2OYFw622XoS/ybY+QTrJDDBMmU\nOPpUibzweULWp0bXLmfWcPmyPP3PdaxTc7j1Aug1z5Jq/BYeDPYblEui6cCuAcC4wtBn7DN6SXQW\nbuEPid/S92Nd+CzL1MIcV7Yw9QFrOaTc1JVqWLnGkzBr+SwSt+d1eGO8xsMiXqcG+UZcEyUPj2eY\nEivsgf88/9aHjS7qtPLw8lMZa9GGviXNbfE1AP8XWvxGm2363/u938N3v/tdfOtb38K73/1u/MEf\n/IGZN60OB5noxf8eePHXgRefB57+D3OkXBTlljrKPJOnC9hGo/VdneWBXSVWTcQvg1hkZvmkNVvD\nq/lFGHKHaoz0SzLWl1bQJqn2VSlusauHd7FX1nXjsmtUJevALt5PObVAlh5+Kw0iDUNvwdRlnCWX\nVt7CwzWeraTxjMzEuezy2S05Oxbe2p6HELeEuWCWtUxh7QYiTVD+oF4cT9OmLUdi6pQu6/lPAH4b\nwO8A+B+dsmXtTfSud70LKSWklPDbv/3bC6zy6KOP4o033ljyfe9738Ojjz6qM9EgFs9tcRBlmQuj\nhqWTx4eHpwOABn2kJR5FWQoT/qy5AsrfOnYdw9T5bylnJ/LpfMq7TPkF1eWzsjLsHJcSQ2drBQnT\n5RfdMEEv2p2jif0ReRi6DEdgFk3xejwlpJCMP4snhzp4Hgs60XhqPHicLFPjafGA+O/JGYGkNLRA\nvstdCl6rgJMGP2hlohCNpjy1gUOrR/KIyMHjvZVra7SON3CzQv/hD3+4/P7rv/7rxQPm2WefxRe+\n8AW89dZb+O53v4vvfOc7+NCHPqQzkfh5bZORiF82GQ1jvkAaWClPa2Ezx/HvrcTD5eJmRFlrWLi2\nOKoftAURttPA4r3NSuuBhOAnLM9R8F8WQ4f54os8w1k2IdGlGJSegHzGC9bKUFOymsLQlG9NmVs8\nrDDn7+Wt8dR+Q/yu8ZS/tQFE42nVQzw0uTQ9Ict4fGthWe8hFFXqcnSLKvVeidfKa/VwHlaaZal7\njSU/lnZyMfTnn38e3/zmN/HjH/8Y73nPe/BHf/RH+MY3voFvfetbSCnhve99L/7iL/4CAPDUU0/h\nueeew1NPPYV79+7hc5/7nAm5FH7o5MOr4eekyDkENbdjNwADOWiM43S2S9dhmKvskbfyA6Swy/BU\nFY8bMc6YOMeeCU6R+cv0rChLHN62xL1zVkb36+BpYxGmchdop82UMVLuCelSjgJIE/RCmQY+dUwD\n0M+ZL0Jm3gz07mQcWHwrht5jctnVeNTCmpyeX7pFXC7epy2eEarx9DD2DmucXstjQdUeROy1p8cz\nRNR3OJ4O+D7l9LASE0/IHYN478HUvY5wJKYuZdgAqY6ay8oVKaWE8f/A9Ez3ADwi/vcA/o2R3ue/\n8d9MC6OXHhjuJTx4pMeD/h4epB4P8EiBPF8wxeXwPTzAPQzo8AB0bFePB7hXlKE4noe8w4eFb+aV\n7xa6p+Tri3heB8+XUfhyz6mVRvXp3utlXporcHR+xX/sMQwdxjFhGDoMDzoMQ4fLpcNw6TGw/9Mg\n3AGXbn4ZqbicZOmz9GfFjUa+wQhz/g8UPpKnFub8gHIWqJWzIEEp5+jwrPGQEKPHE4KHlYfrEyu/\nVa8sUwvvUuicuErSFtJkJVrFvNF5nBwALMGterQFSu/hrTJWHTKdP/uHVQ9DTttt+z1kYeYWfi5h\nGQa7TJ5zM+wylrixDj8AHCqRft2lu2KGV/gVbmtMPadNZMMlHNPmKtXDwyV5tru+CSl+/yk/J31x\nVxSVp/mcl1Xv6UZ7RlnD0GU+D0bQZsoWbODh4RBpVr1STq2uGk4f4aHBNBZPyYOTxUN7J5KnVsbj\nYfE8jOS0zsKPWvBzWVbjqeHdFpRCPLRFzxr8QlaqB8HE6RyFXsHIi99OnuKMqOXQLl1p+RizlgdY\nL6quL5PwBoe0CAvBx+aZ/+wLPNYDxnrxN+P0OU2SVa/0alkUfBpnZT7h6AljHlUljg6U34r8JpOS\nTypVLWwpc5mXp8s6uZLUMPWa0rd+yzokzxoPj6/kadWt8bDyW4OMVQaVsMZzN3GmXHF6HYHHacJo\nCjmKqXtK3cPgPaVeK2eV1bmdQ55FLtO1KSCwnO1CeoVOYiRlm61tsHA+fAvIipZ+0/+81Z/Pbyec\n3XNJlJc9S7IscZLD2+6vuTDy3zUrX6aXMwbRLny0BPLFFyuLfcR0VnrhR4q5seqbiiheGiqpEuZ1\n8LioseMpHuv7sZS+d6aSLM+/7S08iA93MaRykWf3dJZs72j7WDw3k6X4ai86ovg84bb61dZ48DKW\nfPSxtKaVdN7hXAlZOfNNGHIxiOJGVk7k6S4AMGDo0nyGN20SSigXNKfGpDha4PQWPfNC6XqTDt/U\nMyplp/K64vcXPX2KgzO+HAN6U46uG4qKhkt+NroUYwCAocMoF0PpHckqefPITT3a5qPBCPM6+PpY\ncsJSDg5rUpjk0XjU1rGknBpPLZ3XIfv8YJTxOoD8lrT8WnvyNKuMbF/Ow+O5iUhBeKRVagmqrbjX\nGlPWE+VhdT5S6la9CfnQsS1f+dmXRHOrvBO/B/EnLfQOJY4OLHeN0gsgCIGY8wsvyDoloEFCMRSX\n+UzWdw6hSOPl6P+Um+fTZwZkO3dzbqoVSziJsmV9/GRILtv0e5JiWMmc4SAgK3wOJCGVVv10HMDc\ngkOHlMay2y2DQKcrc6mQ6Z1r+ZIR5mUHkUcqaE1hU50yjfSHrFfKx+Xmckg56fVxnpKPFjcq6RpP\nIOsT2R5SVu3ZrfbU4nkZi4cmsyZTE0mlLplyS9mrSFO+lnK1+PH4Gg8+ZbKUOuX3Xlq7Uj8HcrGw\ncomTy3gFolkd2EUbjaAfRGUtENrpuWE9bJvStfJygTTzYrh1IUNZVpfZS9Nw+pKmbqOVEQumCYtf\n+oSji6vqyD+dn/OyjLDI/VNCLNqslUMyWhisHFe8EsrxeHSCTyfyWjyl3FIOWSfEb8nDKlNLl3nl\ns3g8tLbheSJltHemhbV3t4nkg1sdQsIZVqeJ8tMEt+rR8ltyefJ49cToHIWuuYRxDx2p1IFSqbM8\nBOHSLnS6zYgvVEpPD8KjuSLrUeLQZVm5CFliz6XNDlbPGguHki/y2kqMvcUrZr3oC4DJpGH9bJBi\nO0elIkea0pf7Rrdg6DxuC2auKZwaD0rjvZ8rRI1nJ8pY3xuv0+KpxfXBdG1whJLf+rI1nlxu/ryy\njPeskfBmkgo0chSAVjHvjETyYb3yXn6rwa3NR5F6vLI6naPQAd1XlhQ8T9cWRTV/W2A5eXEJC8Wn\nhaWiLRdES8vbUoCkvL0z00n49bks9gLqXqKBqmfe9bSQWhsQOlzQd/o5LnQpRtdf5h2lq4qBftS/\nJ/lNdSxexq14QldAWljy4GEpg6f0LSWnycXzHKLIBPHvuyYXJ609JU9Jsj1lGdl+Xnteoy1CTC0F\nbnUuLc5TtjL/PehnylAHtxBuTU4ug5W+pnMwdImZ852ipLAtTD2xMMvTJ2DsMMEulwGXbmoAUsaX\nOTPHrmUcgR9UjhQi3/mZLfRyEXV6hRKHn1LKPFj4WzyJE1gpiY2PZhpvZu7joyvwUtacU90Ry26G\nGoZu3dW7ERjnAUDeeiTxVOqrFtbOMW4JN/I+wPNYGwgtSJLzSSKv5KnJLeWgdPlb6a8qD+2ZZB2J\nxWvE81prdhbP1jK18LZ1PYM0hrxBKQysX4jX+cZgXARTt+QiXlDq8OTk5WIK/RwLvYaRW3i6kc4X\nRxfYZSAfbOkjLrH1iTjEInHutVugjbtD8FvXWV40zRtFx8L1S6j182B0bJ/LVJbRfeHloQEd8z3v\nxKXR0/kvU1ozhm7BKRI+kTBKJ/J0Ik2mS55SNk1OrT4pt/dbysPjZR7ttwZJaXkiMlk8YZTh8Vp7\n1XhEwptIMtDCVmeTcbKj8LxaI2iqUuNh8YmWsVRyrPHOU+jGIudKifM4GPnnePJLpw1GE5a+Vsoc\nR06qop6YlvElXl5i0Touz3lyX2+Jy091QYRHlLZ32XwaSR5g4TwLGIQstuWeMC4birpO3NA0j555\nsxFh6KTMZ+UexdBlP5eKW4vzFA4qPK1vHCK/jLeUs4ZNezw1HhZZPKVcGj/5vNagItuJSBswPbkt\nnpYeayZLEfJwreMQaUJZit4S3lPQNRzeGpC2j37nXxLNfXwHESfTuR86V+qXuQm6WZkPwGUxEgly\n6Vk4wyX8QC4OjSzQghjzuKsjPwqjTKf4BOuCZg79eJSw9n/Xu0hkoXRCz/361nKt6k8j+n6a918A\nceEFwykG0Wk5G+kmLOMS1m6/2hQ/eliUxpPLxddppC+6d6DXIPJbpPHUeHA5rdm+RvRdyG9Lk4N4\nciiKt59ELjQkQ9Yp4SHJE0p4MyWsXQdlZ7EumpYNSg9XO4zL4mnx4HVaJ6QllIeI8TKA/RJtOkeh\nA7ld+QYKiS9SPO+kGq4+t2c3AMPcmbphABIwdh2QsoLmirsDnchY4ugSSyf/cyrPvVjKRyIhsZTt\nlrK5/NqJkM8G1tThogA0pTOl5i9TU/AS65+eYb0SRhY6p2HIz0objQBgvHQYUwLbHAB0SYcUoxj6\nUikry5W7prw9DJ2Xpe+NW7GaApVltDy8vJTP6uMa8bZp4RnhYckrcflIW2jtq/HsnfBmkkpdY6op\ncO3B+Mgk4yI8gXLUi2DqXh2eXD6dA7lEIRYtTsPWWfp03eW4nO0yHdhlX3BRYt1rbLzmt67x4r7c\n3ZK2PmdF46/Ruk4UfDzFvX6eXMY6g4aowOnZeS704S9QjJI2ZaAXMpYwgTar1GabPFybyvM0DWbQ\neAIlfwlnJIUnlLJSLq1OXs7jUatD4xnlIcvI3/K5pbzWO9DC2rNa4UPIEpp3EJ5Pw9s0d8gITyIP\nSpF8amVkfbFGuz0KXWLq2oIoHZ2q8aAF0hlLn5Q5oC10lgo3uw6Wyi+HqVwuzxdJNV7yDJhS4fLF\nUYlrc55SgUtcXtro/HepmLlfvu4TP5XFik/5LFOmjKvTgijnRS9hxOqKOqkgeZylqC2lz8OStwxb\nPDXeUiYo8Vp92iAC47/GQxsILKWo8dQGTC2PJiPPZ8kQUeJSm9y4Uo90GisOWD98C08vf0sZKz3W\nYLcDcrHOseCYOlgeiS/OKEEaMHnN9UB3mTIOKQFdhlwmuKM874VospoJEuGQCz94JBNtuR9XPVmW\nA2KIeeZ5JGkuiBolkXNQOhKHV/j5Lkt6N42oIwBcBHyjzR45Cwv/xiwGL0+vKBrWYBltjcaSU/Ik\nuWtnu1AfbsHQx0q65CknaJqcHv5tQSg8zxgIW89OYS6HJVcTUd8cRRx/8RQXxdRlZ2jlCdido9Zg\nVM7j6dM5FjrfSGRZ3DIdLG5UeMxh2rhIlMYR/ZAjOqFaS4u7zCM34NBph2t3wPXZ45IoD7/8mTb7\n1BczbWo1dGhNQLt4mlv9skyHy3JW+ip9vtGo65X0ZSepjIfuBCDHEJoJazNkaXnDCUueWsORTBof\na5bNn8Oy2I8mahMul9WeJKOUy+OppXntyeupbe7y3tNm0qzh6E5Ri190o5HFs6VBJcU3Ekk6b2OR\nt3lIgVJWv3kcK5/vGwXGhOXcbn7gVukf3rG4YQ4l0EFeHHrIqXlQmEpJiIT8Z3KJ6dueBNWgFMlz\nnE2kLPOwxCflZed5RSp48HBeBMaivEtZMnFZQNIk4RLZTa6h4zjzpOMAMOHm4zibeUNXKl9iIRc5\n+YBNecs15ZxXWxBNTljjadXB46mpNZ6eXDyN85JyJyV9VOQaGT/+m9K8tuHE81g8ZT6rrXi9nAdv\ncxnm7amFNxMXSD6AFFSW08pSXlle41nOazPxaYjkz9Plw3OebVOYcyx0roilta1Z6ReUSlzmFX+E\noy+XSI/Sj5xb5dmilmFSuN6BW5ZP+Zq/hoVjzi8vp+AXxq3xb29B1no+bfMTr98bZDh2D5QLpGnG\n0QtehKt341pJSOuawtxo4XEedJlEmVpY8uRhraz87qT80oLncoHF8zosnrJeKZeMg1JO/pZft9Zu\nNZ4aX62eWpiTFpb8DyHZYSjO61Q1wSyefIu+1wEkH+vhPblsOkehA9lKv7DfUsHzPFRGGwQuSnjW\nMWkckQrIRWyQWZTfZRUnTYZ8OJamkK0LLaZ0DrHkRUnPJLHTOLxDt4ZGYBtLmUt+68ur84DXp+lG\nI4JXVoMT7RrVSDvfReuz0uihuNpZLhosY4W9We8e6ILLyevYc55JjafWXh4PSZacXplae7bCKe26\nyxCq1pk0wbwH1eAPr8EtHJEuTNbI60za2TA2nX/BhVyU4h1LbiTiEI30VUcOp37G0S8z7DJiwtET\nMKa0KNipCEEQE0a+9j8nH/D8MviCp7bxiJPm113y10nzVSfaMjO1lmSnJrO/PNlWqxk8u1AEAIZL\nj3FksqchNx0tklozVEqjfmHlpe9Jg12iYW0REFgvXib4m3Vk/9SeST6f5Mn7M+ch5fTIkoPXYeWX\n/KNlPB6SJE+rjkOIlAsPc0H5S+D5rAanBo34qVP+BL2zWBdYeJ3HGgjWdDsuuOAKnjqhjPMgGeLB\nOknqwc51GTGMY774uIAU8k5RLQxk6IEoo9Uc2waA9eFelI6Zk3XYlwaf0KYkwr+xSJOBTUrLpXkz\n57zaBRfEoYwn3D8PWLQGsOSb/c/HMU1tnRLzQ595z/j6gAQMMw4GTDDMkNbTeY6zcqz6KAxd4wkR\nHpV4DpVKTFjKApRyUvNSHk3uQUm3lLrHk6drclj5NZ5SH8oyVp08rwxr7S3za+25mTSlLtO1l1xT\n6pH82sN59Wp1yDIxOgdysZTy4MRJ3J2HL4IfWeozlp74RiNITHxAia/zjUgA3yhk/fmHZek4tvVH\nRHXr2P+44qnVX+Zdk/0sdTmX3aPcGE8ozk9HN+aDvBIAyi990zv2R3ESQrTitDK1MP/eJD+wOP7n\n8dR+dyifTeap8eAySJhHyqC1E5w4rx5LLqsOyVPy0MKWLDJ8OEnmsgNoQkLk9x5e1qVh6la9Wlp7\nQ5yj0DW8m/6AtVKXcQOLu+hpdFDXBOdOR+r2w4BuPt6VH6ZFxDccZWt1vZjYIbv+pUJIoDz8Sjc1\npJtjvhiaT9HWOH0tLS2/9bxJkZPXLdcW5HPlZx50nt2Avh+WjUZLWhqB/oJio5GmYDPTsmd2yGtO\n/OPv2W9ZphaWUCoPS5kiWDX/BjW8+xpKShvYNDk0WSPPYQ2eVhmLvwx7OL0ndzNpCtxSrrKcpXA1\nTN1rUO8leJj6NtfF27OxSDuMiy+A8lkKn6pyfjyNNhuNQHcBBgpjwnzzeS6TVZrRNQ1f1zciTWnZ\nNVE7iEvi5LVNPv0Kd7sOyeeQlM+gmciSO3V5PWEcSp50/suADiM/H73DrNhTuRGI+jcN1JRXzk7l\nzJTCfGOQ5LEXQ7d4cvzbIw55SJ41DB2VdA/C1eRsmelH0YHWsNzTw+WkcASbD1FC+bK5IBSXUB6U\nFXn4Fkxd1kllvEuhPZ46nWOhW9Y2h0wkLCOhFp5+UdIuQJqt98kvfXZhHHTYRboEAmD5Sou0dAtE\nkVduLsoTssyzX/JZnjES187WcnYtBOTMQUI2luUurX05q8jPtVb7Uxeb89FGo4RlQxFBMQscw42k\nfpgs9dXmI6xnmdzC5fCAzCetO82q1CAADXKAEi9J8rCsWK0OiydEvAZtWKiAZVFbfKVcMk3K7tUh\n21KbFUXJmqVdRUNp0w1tauC9tJb83sMQH8sir3Wcks5T6FIpe2HrTysn8PXl0othcl9M4+Bi6RqW\nLDHyMn4owpIPx+PX2Pq44ifjygXMiVqMFomPa5dZaGsAvDaJ4S/yi4O6uF96YvBKmtPLW0iQ+7hU\nChLeqOWFUaYW1vgBpQKL8OT8kvIn83s8pCxaulXeGpw8HlJZy2ep1aG1lTY4ST5bwoeR9vJhxNWU\ntCW0Fq91Yi1Nk/c2K3Tuf25Z5DXrXPKQVvps+Hbj7MI4Uni6/IKIFg7///beL+S7ozwbvWbW++4j\nhfagidlJ2SkxaYx/klA/lU0Likbohp1aUkShEqg9aY/EUlo8CnzUPwciKgqlWEgRqj2pukHFo1AJ\nlMDXeGIKuncjxCTmQCuY9iC+a2YfzNxrrrnWPWut532f9/3F5Bn4Pc+af/fcM2vWNfe6ZtYMYM3W\nQNpcb5H3Vi4DeEvPeXp5a6u5/FernctUrl/57S2L3urY5O9vU9Dk2P9x+mWCdEqrT/+XOoaM0O/H\n0G6OZ+GNPvWHhI04dPV7MtTPz9IWaI2eGE7j0abeoKFWtieDyxyBpWLSloyR3p7Mo3mOGrHeQLFl\n4Z+r8xT0FPdAdQTqwJhT10kfk7NnjW9tJbDvTsehM1+uXOKIU1eaJkoanQ80DnEqb/pALuvSJ+J9\n0T6tB4C2MZfPm7dliv3NLaDMm3HpVlfr/dML737M2Uc/x13T7+jmXCWXbiNWdn3xdar0SUTdH13i\nJ1qfzvE2Scqbd1lf1ip6eyWZqBGHrn5v8y31e9cjnVjGFofOenplePGGG0c49pHenrO6qIyRnlu8\nvOdnpzLYHw7608B/TS4MKgYc49R5kkfTA8ca42ge1emYe/mcWBTR2sm75jBrG+3smWQC5R4kINT8\nAWhfjkbeU6XRDP0JRj2XDhRYZvqB7e02PQqKD7WqTZ7J5MlWgAeOQFXsB4URTw65Hk179nUJXeo2\nVvoDANdprVtNs6xRryDOtMxUWyBFYK6B0Z5atP5rzw4P0G2cLelM9cnJt+U3Gew3eaRK1z9B6bRM\nUB6Wx3IjrubZ7N2IxuAw08vTI0s+xTGNs3Y+Cq5aT5Yx8rMc1XPLf03OA3XvJp2lsnvptfIcjo08\nFnfcnYZyUWpkb68Wj3LxOPcR954KbtiadKNdlM/211/7B2T0vLQODOXnxXtbD/hlrsOiyPD4duXz\n1/MEI/n9PvGmW5tL8A4JsTXpifZIT41HD+j3fbGPj1B59JiqMZTXoDiiUEbcbjjo92Rq2ijplPoc\nla+yRmWOylUdRnXEwTClcrwyvIFCw7ba1avbUf8R+mXkvyanQrzOhUGYpecbuyWD03vKb+XRjrfv\nTgPowBiQPT7crmf6KXCrTPrZ0kWbpytYkhDzvIDWBOaI+4nRHpS9lSz9ype42LBYlDOe3F9R08sp\n18WxTOPYWYYns+fIk8gYc+b6jqDzAFrfALQ0dX+Xvt8Zvz4ve6j3oCaWyeih1WfHwo5y6FvPn1f2\nlpzRgOBx114dvPQmU8O24nWtuwfqWzLUqd4e8Ht+LXtvjfmRe6D+GwLqGAjfA9xrTa95dDTd4tzX\n7vSUi71RJPS8ItMmFnYZa16dBwGVSTx8QIkPKSPMCZhiFd+vIw9ImGrD9uvQbVKzNSxzzSX/ROmJ\nP3Zuxpqr5rhpALutSc7LKfcP8PjYD02WvlE2QFk5L2lCxlT583mO3d4uoYJ4BgA+IMP67h6HznT+\nUQ5d/VscesS673k0J78Rj/jrURqTqXodcUdlbr2pG3bYc+Tx3SzTrpmCYqdryrc49LM6uwdKv5zL\n5xrBUcprQGuw0YHORzl17uReuZbv6g+4ePl8WOTxdhrGlrfmsZuunCdNAsWMwu1mIM6Fz80x1q1F\n2p7nzUIv4J7JHCwc+7zY6uYYxHkXcqDnnaclRoGyOSuXXSaJZk+b07S9G8UZZz51ugT00teDU0u/\nskEq5VI+JApAwEK7xJiQp4CcZEI50g2yD5PY+lY+nPdkAc7OoXt+k3m1HHprrJaO/2OQnvNt8d9W\nJg80W25LhvLhniHk6bVHI3t+D8BV5p5fZe9x+Wd2nqJaGVYcWDfWXnpV1DqF1+iAP0gcc6ehXDwu\n/AAPvgr3/CO+vaNbylYAjUfX9eY9R6zrzT0eGkDn9+StOXGmaNoHTCO+fsTZ7+nhx63XnK95eX8N\nPafv9O94ctQPj2p4TPTxUbXUlz3TBxy6vv7rz+OGr8avcWwsBfKP9FK9PYoCEs7XXp1G1MxZZHrt\nudUGHi0zSjPyY+C/lns1kn/d6Be+6VoJ/qlyHl/kyQkS7+mj8o650wC6x5F7wLwF/KMJ0xHoG6jX\n33LwRV5z2g3MfAC08DXIN4tc13r3gIpOtv+FqQ/ExV2NWaIAD1d+z8srgHtypB1st0X7yGjKywEY\nC9jbnumRJjn2QHrEtXrPxlHwGfG1W/m8uC3g1bp4ZeyB8yje01txY6sMSFpPJpxrb7AblTnyK855\ng+BIT9X5uoA6K+Gl9Rp7lN4DdY07S56xOy2Hrm8kownOEWeua9XhpOc5N/HHOXeHMSjxejzXAAAg\nAElEQVTAtbXprcF5yd9M+Xo+vb9BxtO36o/H0RGv3mT7e8bsuT25gM+Zr2XkLr265RDpAMxySPSy\nLn0u1E3LlOuHAlNbzhjQ8+Vb/DfHF0X7sD0/962Intpgf1eZ+n+PQ7cmG3HT5+FYT08vj471nquR\nTHVKI43KVBl7ftZr5Ff2YkvPM7sAv7EAv4GOHjxtcgJ8Hv6sZYzdaTl07oA2IDE/zjy7x6krDw80\nIBjw6pHaOk1AtEOko50EypOiDdz5QyQL4w+P1ny6Af8a+Aqn3vfArQMt2NlqmaMjdxsfzzbST06O\n9m7RnA4UyslHOuBi7iZBC/AnAN26dKA9pB4lufXRD9/7s/iZl2eQ8sAliQx2LMP+bzW7J9OTgYGe\nR3hklbHHh4/4bMUc7x5pmUc48qP+rQ+aNM81uRGo243UQjwAHzWOAbQ3ym416OSE+e40lAvTIEq/\nKMXiceVe/Cg9l8Fv+Bl1f5cRJ65LFIGeavDXgq/XnQPMR/MySHTpdF8Y5dd76mNMyfjUiueavmt6\niGWBZIRaH3/Nfs0ja9KZVw8x1V+5Cet16Xn8qu79gGYMbL3iax72e6//Hq0wkrlVnskD+np4Mkdh\ne3nC4NrT0dNrrx6g9HovQOm2ZJzVfxZ5quc1O0+YNjKHe7yT17E4vZaxl+dYBU8L6CPe/Cinbj9d\nl77Bt/f4YTx6rl+wt3XoW5OP67XpPhfuDwx7E56pk8/rydegDawB/GwTpCpf97HxOfOmJzseaKJN\ngtJDaOAeYwP49vASoOuD6wGJgpEX78nx8nhpj6YbxZlT3Tk9l9G1hZMHgzAFaM07SjPCIcCvj5d/\nL89IxhG/YpqWq35PxjW5kaAtUB8BvVe5UQVGccfc6ZctKpfH3LhSLsypA329Nb3Hq9c3mljXpadq\npZcljAHzVBYpGqVha857Pr1Zu23f9AB+LWI6BtA9XdCV0ZpDx9a8ytMANEi6o6ZKHzdvLEHsy+3p\noVnqas70Ky9EU7el7jTNQAbmHKvGzWIHMjLz58hACD7F0pQobpRGOfUkfmBM110hf0RPAarMMJDh\nbW9x3hy69Xt2I71GZXptofw3UyijMpQeYb9HG1+N4/ZkPVSva6ZdzHkNbOHaoAFjvttTjEfTUR6u\n7DF3GkD3+HB9ABis7SHlNlDqSi105hwD+gGj+oNZ7OiBK9cbaVx3XgoEeHMu/vCIP85hcM41D68V\n9yYeVQY7nQQ9t/7ale8fZ23fpnpuzZ/LwBUyplgOE+HNuUJsKVOSiVhvXTqDTlN4m1tlVTwOXWXa\nMzri0LXcEXdsMo+Aiz4Dqhfrs8Wxa93PUoaX3tP7LHm2ZHj3KB30A8fvu6fnVTk1nlSRI5y6pyi7\nrZnps00OnG6Vi3VM62zcCZQusfRJrr38TLcErDs+WnyIBT9yysh1mZ0dclxOMerpFKCAFoeVKzuK\nmaG+XLGV7y0RNILH48LN3z5MKrE84coHOlscs97tEyeN6+UUkmdNyQB9/VlOXm4A193SBqQQkUNY\nnokYS740R+RuL3UAdUMv5AjkaqGD7p2+yquxM7IgNX3CWKYH5pxf03ngGrCWr2m4DO2fW6A+AnOV\nqTpkyg9HFr/ljtoik15eGXwPWJ7KCBsy2T8aaLUenGYk89ycWuxacQ4DfIBmRTV8L8++0/f8G+OS\n81P+2wN2Dd/KM0ve1Msz67xQLhkxeQdf9EA14tM9jtk/bBmA5Btx9bwGnA+g6NfL723MtdZzJKd/\n1j2d1od7jPh7KwPI3cdGIWZEb7Mud116bsCgwMtvavwmpz/QtZcOEsd+L6+XziuX07G+KovL0Oso\n8kZhmofDPLmenl7dPD32ymAZwLaMPb/qpkjl+bdkXjenDWFheuNHih7Jwzd8250G0IEeeO3HFjmD\nObAGcGAN2Ak9mGeSp+lRrPOpgjsATClhym2CcMKMCbwqBbANsphXDkvY+hCI9UdGoHyZ8vcbbtlE\nZd9gfb7enzfitvL18nlitOmyLXNU9wC0I+n4gAtrm7ppVwwSF3K5MVOz4hFQ3j71OdC+z2k0z1H/\nojzJ33ouPb0szRYYX6vbAivWyxsUttKrO5qH/QrCo/Y7i1/ljUB9T+9rch4Ye8pYYxzptEfyHHOn\npVw8cDauz+PUR/EK9kFk6qQVywQQcpaDpAsQF1XjAlpAz38b560rtjl9z0yvJxi9/L2crXdNbMZd\nTZcoTTZGHNXJ49jbpG+pv84ZlFUu6di6dG+/dFZvi0tVvyfjiF9pjxEXPcoz+vBIv6XYolu24rmu\nR+hYT4bSVVvtyc8dHBla5o24R6CwLZnn5gxI2D/iu7cUtXDNY6B+tknR01joSoewRW5xwD7FomFq\n5XM6rPMv2wBk1IMvjHpplmajD4pjqkP93v4nvYWu/DSWMprl728BwNdenE61Nqt9XZ7H0ze7Q61v\nfWtYW/yNitGlmVUvW5fuHVMXE8Kk69KBfr90tL6vNIdn0Oy95e75Vd5ZaQWVt5fGo2P0zdt7Ax/J\nGVnkWzLiThpIeJA8o/b3rHiNZ79Xb0apPf+WzHN3XsOMGmxkxY/yWPzZrPXTAPoeN86AP2MfyD3O\nXOMHZS1cegamOZWNu7rDL3iTLf04SHlob326dziEd6CGz8XvcfhKoxxxvvztNfLjNO3QjCg6dXWJ\nacWd23r0qEBuN8X2S1c+nR92/XlgejV+71qBZqSHB6IeaG+VtxU/yq9hI328ttrSwxucjrTbyH+W\nAZaxUP1w/HBkQGRcV+c1qIWPlNgbCLxRy3en//R/tOaclxxqOl2XbjTLaJI0kzyx2kPEcgAGkJEm\nA7u2RW7zA20dOq3mWN5Bi+PtcgMtWDQQ5TUxEQm200uoclnGlv1t4Z013AFqL3M9CKi93d5EGKLV\n4jb9ml55oV10/gCQdenUz8tRdXVdeo0LdWI0I8u+LpV68daM64ObJc1ou4CRn2UyBcG0i/lVBjul\nDJnWYNoRcs0uUHqlNiyP4oaFeevQ9+iRK6I34Nd1qwyt+8jvUT1n8QP79MuWjHNx1vgslMGXP/PX\nBlPKhhuQ3fFP/08D6FfQH1YRsQ/YDPDe66TeLB4E+COUTHFAG0iqzJASQgpAjFVsA9YZE/n7zbkm\nAUNzbamgFbceaXkAsAoo7zxya57dc30P3uLIt+T39Vh3Mp0fWO1hE3s9U+XQQ0yI1UJPs0zBTnPl\n1EnW6GEGrg9fu/Xh0Egm59kCfE3PMvc4dq+MI5yxJ2ME8NeybHpvAD2rO8s94zxb9/3c3GhE9hrY\ngIjByWQYJHsNvO9Oa6ErYKtFw1SJXnP8NJBl10DfCdnaMgu9WiApoUySpoQc584CZqs0IS5fe9qt\n0jXqLcxy5Q78NZ+5gAakawa8lb92fYdSmZ7jckxiaUqb1G2LGtlC57wtTzNDlV8H+g+xll0ZgfWp\nRnWVy7Iu3QqPGcihWYtA/5GPAQbQP0MjS02NAZXJljjEP5LJgKEWtDUPA/ToLaB/6Vtb4ZB0Z5Gp\nVr0ngwH5LG0RHP9ornBLpue/1jxW9+sK6sC6otzAnNbSH2mcY+64qXaebgTS7NeflyfvhOnEqFIw\n9bpNjGLZ42VKacWl9/z2eo+VYz+PK1cees3Nrzl9f/35Wqcmc70u3ue/t/exGesEkatr3wEs69FX\nh0cDy6ZdwQ5/1XXpSkEG51p51j2+VulOlcHho7KjxCsHbGm88NF13InX/xrm6e3VXevs6cdpRnrt\ntRUkbkum+kf52T+SYc7rB6zjuToV6lWEFfMU2cozdqcB9NFE52iVircu3VvFsjVAsH8eyKxgHueM\nkAygxodPKEDaahDmqXmVSH9oBlZ5vdUy5iy9KWq8vrc7o66sYZnrOKN49LnpJ1x1Pb3WnfOtNygj\nmbQLo1WsnGBU16vHVMJapdFeoToF/TXj6lcgVaDZWkd9FoDygETBFM41nGutpwfIqvcewCtNOaq7\npfHqq+DpxR1pMwVgzz+6R1ruEZmcRvW4LoBuSqhfRxVWxIvjyh9T9HTr0G3yZbSRUaBr5dR1Lawn\nA04aA/OwzhPmytwsb/jFSk9xWtqyUSWt9zfapYX1nHjjkgMabcPOPSgCPTeut/MsPPgRF6rU0fHU\no/JUz7OuS2defb0ufa65YpsgnWjoUe5UeVL1axj3sVaB4xOpLEPdaLKQHb/673HoHqUzmvTUeI8B\n4DJGHLonc6T3iG45IsPzK0+venp678nUuo/SnJsLoiCPmlw5U8SU8Q7NOOZeHqtctgCbJ03V4tZ5\nBR5xvYlVay8GeeHdjXLJM8peL/A34+IDoVtYorDeulUZ7HjvF3P93orNMtc8WOXrna6O8eLsvYNX\ntYzcGsB5x0blzS1NX2fbtAsAcurLCzHVW2cbelW6xb40nafe4vQ49D0/sJ5MZJlH+FkGLkg6lnm1\nHDrrDWB4G69G5hbFe5Tv1vxbHPpIxln9rKfnPyLDwnQwxKBu1+wU1Dl81KCjWed9dxpAVy6bLXK+\nSUqXBAljiyZQOu3MHrCzjJrfPjQyCiDkhJgCciwbTfWbcTWqpIF1zylnAuo1d902ueLJVKVhWl5L\n1ZYQWhmhyw9X1tavyLEGKq7Vq5/WhcjXSdJQ9bEbZukybDOwOnCEgBBKOALqEsaAlCAbd2XkmIBU\nR9tl6WNYP7gKHiO/99AHCR+Be6ZwBmoFT5aZ0fe5PT2ypNGwTPkYLzx6wyvDkzFKz3W2dJaH9VIQ\nZ708GSOZlv4sfm2DLZlaT+vCbHP03focnAfqqqgXNwL8sdt8b3/mmWfwrne9C2984xvxpje9CZ/7\n3OcAAD/72c/wwAMP4K677sJ73/te/PznP1/yfOITn8Cdd96Ju+++G9/5znd8wcpf80dBDL6jNDP5\n+ctSBe48kKUDBeVf8CIDYc6IuW3a1Xjz9YSgx5v7afuvQZnHZhn2QdKaC59XYNrn68F2HNfnM7he\n8/r94Rd93vXg0ddH5dFkqk6KRvr4COjCAz+4S1/PfZhyqOEMfgziFXgjXTNQaJzK1P+R8o5AWPX0\nZGi6LTlapsrw0mtdOb/GeWmDk0frbX5ue88/Kscrd0+mVxfO48m7ZjcSyAV6jaLh224T0C9fvozP\nfOYz+P73v49//dd/xRe+8AX8+7//Oz75yU/igQcewA9+8AO8+93vxic/+UkAwFNPPYWvfvWreOqp\np/Dtb38bf/7nf46UnBGGARlYA7FOmoLSM8Wi+SDXSfKwXOY0KU9IQJyxHIIBALb5FhZ/D655CZsx\n1bCWtqW3zb709oQa1yZQexnqwpLO8s1LvrgTN1W9tbxJ8m85rQ9PzrKLVL4n0zbt0vXpIaZl467u\nC9JpLj9OP/r0P57BPzl+BgyelxrJGcn0wFQdl+HJ1HiT4enl5VHHZXh6Ar7MLb29engDgafDEf/R\ne8RuT6anl8nbRMardSNwjlhX0NJfqr9jCm2met3rXof77rsPAPCa17wGb3jDG/Dss8/iG9/4Bh5+\n+GEAwMMPP4yvfe1rAICvf/3r+OAHP4jLly/j9ttvx+tf/3o88cQTvnC2ttnP4KsAniVsRM0A60HB\nW9WiFvsMhLmAegAQ51R+ySzvNXCVCb+5Ayxe8eIDXQNSL76kyR1YMth6RtD5Oa1bPzBsAT63xTRI\nE+ktpctb16VPstdLiUv1ZKOusDpBugheg/sW4LAfA/8WYO+Bs12PAGME4EHiR9a1tyLlqExP57MM\nAntgzeGj9vT8W4OK5z8C2HsyPD0t3agtrtmNhO7dgH13mEP/0Y9+hCeffBJvf/vb8cILL+Dmm28G\nANx888144YUXAADPPfcc3vGOdyx5brvtNjz77LMrWY/8v1ga/503Ae/832sdmOPmWX7+6nP0S/KD\n5A/w3wTsBqd2bavkcgByykixUC8IhTyIiAsg8ac/ypsz/208d/nUX4+3y2gbAIDyrSmStqa8yTdu\nulCBTYa3zYDFKTfePi4KXR36qVd/iaKRO8B6q4D1nAEvlESjVZAL5RUKxRJQLPVQPzjKdnpRSEAM\nKF8d1TC+f3Y/mesGxcHxByfeZNpzZEYEy8+SVl/fvQk87m9eGZnSAb7OGq98NCTeyuHws3LozDNz\n2444dEicJ8OTaWVeC6fu1XcrDdeb76vW61wd3zgNNyUfA/AvZ5J6CNBffPFFPPTQQ/jsZz+L1772\ntX3xISCEMMgJN+6R/wPl0//L6GfVlUM3f8B6GZdnnTOdEtBNeK5kKsjTBJMBegqo83Blw64cGjBP\nsAlLDpsXcOOJygasPlj3E6C8v4vPhVva/hvUftLUB+8SzyDcgDZUqG0Tv6NJUG+QyctApXUDDTim\nX0uHgGVC1CZIC8gnxByAHJByLJOj9nERUr1nsYC7TpCVRuon6Aw4dAuJkd9kpJ10OnhYnIKKgjjQ\n900tI9N/DK75vwK9xqteo0FvNOiYTK27grrWPZ/Rz3pw3UxPfZ51YBsNdJ4MrjscvSzvDQd1K/Cd\n9Wdp/ueuxF07/pe//CUeeughfOhDH8L73vc+AMUq/8lPfgIAeP7553HTTTcBAG699VY888wzS94f\n//jHuPXWW9dCdTKT6RWgB9kkefjHAO7FeTKVgmErytIZnw7ULXVztQiNCplhXz6O6BCmXdaUi9EO\nW5SLz4V7+6mz2+Let3pkn6+ZKT19ZJy5/+EQp+fJXK8sk7dqm4VXpzeB2LbebQ2cK5+e+4fYo1TO\nyrGPOPMtv/e6rzqNqAlNrzJVhsVv0TLaFuw8KslruxHF4tVtqwxPxlHaZiTvLNTalk4e/aL59L6f\nqwv0U0W8zrvtNtXMOePDH/4w7rnnHnzkIx9Zwh988EE8+uijAIBHH310AfoHH3wQX/nKV/DSSy/h\n6aefxg9/+EO87W1vGwjHGtT1x8BueRSUNR0PAJwOWA8katUTyAebGK0W+pQSpnlGyAZ0cDlyBnhT\nmU808iY8Pa56BMxWrvLrPKnpTXh6k6PKjfdxPuCu9bHJ4HF6njD26hZCxiSToCWsTI4qp15oFxqF\nY259v92I9cPLz4f6GfxH+T3/FpiMQHEE0HsArmB9NI+nJ7sj4O3J5DhvEGE9Ld3WPdLy9nDs6D3a\nyuOBtepp6a4bp86FeO5IYxS3Sbk8/vjj+PKXv4y3vOUtuP/++wGUZYl//dd/jfe///340pe+hNtv\nvx3/9E//BAC455578P73vx/33HMPLl26hC9+8Ys+HWOvPQaw1sgGyHy9Ra8oRZMlXsNA5Xq0Tuz9\ndoh0msue3SkWcDZCpWeajVPvOeee+ohVBWOSS0FFYujyebSJxY74dbWsw+q69we51rRaD86NJQXQ\nUSiu/u2J8eQtHzTVdenBqJXKqdvB3aHOZSSEwocBaJMddnPpPlql2B8cv4YZHaG0ivpHFApEJgbh\n/B8DmZp3j1owN5LJ9IG2k6e31dXSezJHdWUqJm/4vbI9qoPrz+Vs3W/2j8rZStMeG1+nc3dcQVXm\nQO6c83VTzS0wBOT/E4U/txU5l+l3yYn731BGRw2fJD3HX5KwaRA3OXJqWL4MpEvl48R5CrhyecI8\nRcxxwoxLuIJL1cZtNnIJm7qfkRUcx4sHr+DSYkuzzc0EB8c1OSMbvM+3FeeHrxc62rA1LzJ7EiYj\nLHF58avMIq8NgX14ShFpjkg5IqdQrlMsuzGmsiPjPE/Ic0C2LXVzKDcoVZDX7xX0Te2on+V4/i05\nW3H8RqhvlUojbhkzW0YOg5C3VFdlqCyg12tLJucZlXFWGWfxm5uvIg/XEU4eT+8teefmRoIj9uD6\ndHu52GsNdyZ+eHiFCk+0cBq2lIBxB+fPvPUBAtoobeWi5A30xmBb6iIUizPF3gJtXxHzfulTZyXz\noRkWVsbeomgmcyWt3lfbjYySNouZ0/e9o3Hq1L4PFNOn6rn0UJ+tSUoD+EvR9WqZuRkhMzDXutsa\n9RlAnqvMCCBUC//KVHmxgGV7Xbaoju7Lwn494ILjza8WHVt8ozLYuuM0I+fJ5LcFa6+RBb4ll2Vo\nGZp3JHMvDwP8URln9Zu7mjzcfurPFKZ6a784d8dP2NlGjdPv5RLFbxazdl7eH4P5Q96bQzuR5vHS\neJ2b1r1HGxQCP6O633mZKDV/S9PueF4KWwPyaHOuadVjwjD9tboj3WbrgyNPJ00/SxpuM97QK8RW\n92W5osmMCSn1+6cvfLpt7sXrwPk+l8LO5veMAd5nJZB/S6YOAKA0picbKJ5MlsH9WeP3ZHrguyVj\nS09grZeVoYMby1DjaiRzBKwe0J5Vptadw7y6WzquG4ddF+dRMGN3GkDnjmMAanrbzeYbrxY5Lznk\nTm031APwJNcclyWcHtIwF+MPEYhzSZQsAGyRF2BisJ7AvHmxxO3giN5Sb7w8FnX6xX6g67Y6HDWE\nBw5mw4FI5fguk85NZgPjZks3/r6VzM7jxllvDuV1+uaLKG9AuteLbbmLHMqGXaFqFTPylLDw6QHN\nSmcLmwbletO2/QrYJsPjitUy9mTu5bH0WcJVpseh9zegv96SmR29VD/WSy1UrSPrxWXwgOdZ53vt\nlnf8I+v5iEwvj4ZZ3VWWhqnMc3Vbb9K9Ox2gKyXCo6sCNlMz/J/pmkD5LG908iRJo7oEkRmwHICR\n51ywYlmX3taZe5t18dI+C+e12hY2Ue5enk2X6pp1WyXOHyrp+m/dzMsPa33WNvpq69KD6OCtS+e0\nFscfNKnepc/zinSmbFI3id7t8wIg57qffA71IUrFgg/AMjkaw3rNOPOiDFx7/y2vB8AecGzJUECB\nyLRXeAVllpXlegSooHhPZqQ09j+LDK/Omgbi12s4fsBvt5HMPb+C+lll2LWFq6XOdbe0e2We0J3/\nu/sR5y03ZH5LAdtbM65pvDC7vopli6yffWi0HKSTMmIqU4C8IoT3dzFn04i6GoUB0dZr97wyr+Vu\nv6kqpRw0SH7PeKMrQ6cie/sbItP6un5IxMsax+vSA6Xv16X3g8+0hLeybSuAKFsBxLrPSzsgo1jq\n3Q1iMGdlzrI1QKRfoP8Q/xEZcPycf+8pHMn09GM9t+R5euytQ9+qq9Yjbvi1Xc6ypnykpw5a57FO\nnevOzrtnI5k32J2OQ2d6hSdAI/pXNKVCgqRJJEtfDy1eJ6kyhSeKmyS/ySB/2Ss9IYeAeWLKJSwc\nsW22BYDC+j3C89IDQPGNOllv4UU6dOaN7ww2Zypjy432XlE3YxLoV716tzrQQtLYUNbi6+L/iLof\nenG2Lp3DACBOCXmuMuxjoyppxX+zvyng+49OpPYN0GSo4zyj/B5PzzI9GV78iKs+wqFvTXJ6Mkd6\nM90ymiDGQMbIz3odnSjdkwkJO8Kpc120PUftd4PcaVe5MKgrp87+7FwzLZNIHgM80F474aTh11Wv\nPCqDTzQKwPKxUYprwE4C4t6KbwX4RMO+0RPTomCzn0v/be/tahHz9XpitsnocxadW0lq/aPzK1fO\nMvp0TR4PfNrbvbZb4pa153F5yBqnTqC/7NdAfEII+3w44PcDnNE/4m2VstG+qWDjyWQ9uQ9v5dmT\nqeX3r3TrMhg4VSY7pSRGwKdpj/iVq/b8Ws6ezLOk0Xp49IvpAdHtBrnTAbpy5nxzNF5BWH+8CkZ5\nRQb8EWB7QA901nyoskNG2Y0x5m6PF+bCmXtu/Hjb38U45ox5SR8pnHns9tFRlnQ9j16u+k27Rj8u\nh4eZETfO8i0PADCX7/+KPvxJUpEJkt8GuI7nD41Pt7ZGAEJIiLHOHOSqSy5bGLfJ0VzvKaEUA7bH\nsWs/2ANvfgv0OGGgf7Dtv/Y5k+GVYTKzpOc68X+up/LFpo83UGRK7+ULlG4kU8tVUNcBwxv8Rn5P\nr5FfAXZPpl1zHTmfhWk9FNSzpIOkvUEW++kmRRXEPbCNzrV1fi9/QP/KqSDuUTgcpnHAqrOWubeM\nnICU1fIs1rNa5QqYvDkWg51t7mUFlunOaYlvQJrIV+SwTLO1+w2+ehmtlJ5D5zNS+UtV/VK0nyAF\n2O7nfFj0mmTAAGzilPWMVfMMALGsajFOPUxlQEhzfWqqpZ5yafecc7PUEYGcC8grmGPHfwTM9SHn\nB1yX6s0im+WNQHz9ItM7BrEsYV68yvTKVBqDdbe2OCLTA1e9htRV/dy+e2vMt8rFAZnmNJ/SL1wP\nUBjXYU/mdXanXYfOAM2WtsePM7/tra/VMP4PkcFgnkiGAr1wf2Fuht+cM+JclE9TXG4ofySUMNX+\nVZYrlpieUuh5dcCIvdbv5i62NV8vx3NNg1F87xqffaz3xVXPBpQzL+X01A+AjtvfolyWwy8CkOgQ\naaNd0jwt/jClIsXSBaA7VHqLU/f42UUGxt8whIF/xKUqUAJ9H1bnybTwLQ49O/GeHmkgQ/XeksnP\nqweuR+YbtmSa/yiHPgLsPZmeHlp3ToNBGUdkXid3+nXotrqEG82e9YjGr1uaSGnYuvYoFQ7j8hTM\n7drK5Pwgf9UrZKCccVz2d+FdEJU/L2FhGcT7j4oK5Fr6ZiFzU3nv2s2uZRvZYsyVQcV3bJlreNHR\newr7HGvg7mU0t54utdUtwHoQaK0yAPhcZRrWxwxkIM+kj3Lq9pAXob3fs5y5WAUqbPiB9lB7Mrkv\neTfHs9hZpidjK88onqkB05/rqmUwUKrMkf57ec7qZ71G/q17dESml8bCvLkAr4yjMq+DO/2kKIO4\nASxPeDJ4c5wCPIN3kjC2bgKl8SgYL45uUKgPaYhoHHpKmGJADm2zrsIOK0+9PvyiX/PNa7KV817z\n6y3MP2Ta49dRJff6tLjycRSQOl3gygZsgEInZz05Wp5sS8s8vK8zl49uPToSFk49BFTKJQBzLN8F\nxFz3u2Awz+j2TfcoD7YoQfdf/ZoX5Fcw4rJMBufjdCrbk6lAEeQ/sAaOLZkM6kwnqFxOo2EeTTSi\nQUwG/1e6RWUe8e+Vy4C7J9PScJ2VulH998rQvCr3HN3LYy8Xj0ZRsNUlhSPwjy8KXi4AACAASURB\nVFiDs8VB5CqYe2UHCqvpCpjXX0qIISBV0Nna36WE62lFcxenuzUun8ALBAZqjC3g7fn2NTcO9Idd\ntInL9cCicwGtDnklx5OBpXZmmUe0erS2m+mtBchtVQtQDrtAAe4pZOQcEFIsH3wtR00VaVg49bBv\nBZozwFML25tIhVxzXi2LZXjyFHC5r6vRYrIVkBXYvEUCrKcOGFsy+NngNJ7MEbhaPs+SNhkqk/Op\nnCMgrvd7JMP8oHQj65tlwSnTwlim1jVjLfsc3GkBnYGdLWPQtQGpR8so+LIlD5GpVry3Nl2tekiZ\nKNchA1MtI03WJxqEG5gx/21gjZqW92lJdFe9tdy6ltxA9Sxrx6vqQxfE38vW2OKS6NVSe/vQrOux\nXpPe8+pT1bhQkiVuOeTiSgF3oFjpocpfaBe+SXP94sNemz1+3PweII/83DfsQVWeXkG+bwCr+Jin\n99wIsI+sgR6Vac/JWbn/kUwdFLb0OOLf4r+17iM/HBnqtzTeYMO66z0atb9XrqUftc01uJfH5lw8\nunOHMUpF6RhIXra2vYeDwZ4HAAzSqG7ykAZ6oEPKmOYCMrOsSTeblMNKEWwS9hY8KE8f37tmDe+7\nrU21mgtdGUc3APPY8eTkL/29/1xKqZn+w6q4xEdk2Ix0Yk4cqB8b9bqvOPXlMIyAft8XjC13fWi1\nnwBr8G4V7a3xUV+zfg/AvUWc15PpyfDKUD08F2u6EU/PwOjJ9N40NM8eaO/dk632HPnVCt6T6ell\nbWNhWi+14CF6eDKt7NEa/at0pwF0BlUPPCP5PcC2kY1XK0ySnm/mCKTDIE2Q8rWz1vQxAXlG4W7T\n+txR+5y/X69dII834+LtZJUmyZRyiyc3QPbOGQUa+CsHvs29txRNxvpgaI//BxrYN4qoaWauUTaZ\nagHSw04rjfWwC7SDpXOuD0gA+GOjHOt9tJtk9EvwKRL2g8K4L2T0/coDAqYLtsBGgU851+yk2ZOh\nQKLhWt6IsgHW+ihAe2l4pN6iPVjPLH5zo3a5Gr9HhWzlYR1YT+8eBfRtyemOyDR9CFOuFdhPPyk6\nAuS0Ea8AzQCvlExC/3Ayd8lAbv+D+NXqqX7bQqSsR0f5cnSekScgVVAHmvUd6nDcA/bWZGabCE1d\nHAAo8Dbw7j82wlK2N6E5KrtNePIHSLoufX0wtMo0P3Pj44nVdlM4vJQna/EDOvAuHHvVJgeEVMB7\nOVR6zvXByfWehwYm/CCZCgp8HrhauPXnI2m9cA8ggfWgo/+5v1pftufAA9c9mRavQD8CMkg810lB\nnNuWBys4fpUZBn4FUE9vTw9gX6Y51dPy6sBr8V4ZWzItH6e9Rmv9tIDOlpDyhxE9QO8BNlvXVgao\nHGA9CrJ1vvVqnZ201KnL/i5FYJgYtAHey4V5ZbaBG/iaWmw2MuD1jnl5c2HQG0YyOCe7fp34Vi7/\nIGgA8Dj2WFuF68p6taWeupQxI2BGjkBK07Ifeqw8+TwD9hFWjAnl29EJaeHUE8pOjJMVtL7v3He4\nWXVCEgM/0PqNx9OPaI8geSJ6HVimvj0cefgNhI7IHHHRqhcDjydT86uenoyRTM9/NRy66rElc6Qn\n0Lcnh4049FG53P+2ZJzBvTw+LOKONWFNpSgdA/QdkS2NRPmjyFGLneMxSAP0XBc9SLy/i7mYEqYI\nIBSo08lFb516aY4evJQ3571eNF3zj93WZl+A97x5yOPJ7Q+n6PVbQ3rqkHNdjurZBkLi1OmAaPvY\nKMZ2w1Jqm3VF+9goRWDh1DOQwjaYsMXpceSeXwFiyzI/yn9vOZZtb5+ejC1wYL28uSd2W3X1qB1t\nT9ZT8xzxK82leh7xj8B5lMfTw/Jdy7r0PRkY5NlxJwH0nICgYKtWgsarFZ7Erx8aZfl5r6qJrkev\nswr6TtnlEPryWp9yv7SP9ysHlCYpAGcUC3Phynm3/V/8z/BDV1mOQZcfSyo+UKOnU3JtiBHNw/Kx\nyE8ix6xvj4JpDcz8eokD8tL4zYLv2yAua9MBtPXpoYC43acQyxYNIeRKv6RCt9RDMgC6vx6Xqg+7\n109AfpZzFvrFs9hYjtIJ2ZFhuquBo/HJkan0xEiGUhhHBjDNw3oqZcF+T+bePTvi1/u2lcfTi1+l\nR3SOF+bJ3EvPeh10pwH0agUEBmldyTJacZIoPEme6ISPLHIGZu7EOnBkJx0DvuEETY6GWEE4GMgZ\nDNkWAHyIRPv4yADLNrTq+eb+o6TGb/cTpqMNs9jiN9A2fn29EZdVb3uTrx7w+43Bih7odFPOvNRS\n+HEAPXdv+mPRue14kxcwR0D7AClkhPqVaLHUUaxyoFgTQHmtimSl20PrDebAGFgYaEdgrjL5geZ0\nOr/DL2UKsN5gov8VrBhQLC+DiLWB6sEydBBQmVt5vEEmD/wq0/QNA7+1Kd+DkZ8Bc0um+T09LUzl\neQOYpuNwDNJD8nCf2XAnAfQ5AdMMBKVXuPN6nLpVUNd2KvBrepPLS7/glMFLsvQG66qaKi/U+Bir\nuJTKqfRTwBzaJKBRL0XV9lSaVb7Pmxt09ocvF7CbJaQ5lpFriS1lL50d77mu3HsvszSw0S7r0hvH\n3nx8lF2z8AG47WDhmdCi26wL7YzRidaeL+8xDO4A2jLGWGiY1iTrVU7B8e+tZR/x3QxwHjcNSscG\nyEgmN9VWnr14lmk6mNyRnuw8mkHbgoFuxMPv+YHeymf/eXDoHrUy0oPbS/sPl2nytmRC0o/0vIJd\ndxJAvzKjrCAzkPSsc7awdQ25TqImikuUX8NGD4TdGLbMjz601d/v72JWJU+CAnZnGnXQJh8Z9Fue\n9Wf0I2776LrxLRns9EDnPZmjj5xm9JOeng4lTWPbI90Ub80+YF2jtqfDqYfYWqRw6sDysRGvRZ+y\n+BelmlGg/iMc8AigWIYaCNyfRxy7AthRZ3U7ItMDS34WVcbRuivgn6U9j/j1QyFuz5EeR0Gd9QT6\n9lR5e2WMZG7JOOhOQ7lkICUgzRUEI3o6xKNPlCvXB0I5dA/U+XVXqRV+1dROwDIh/tyoI5sgjanu\n74KAvHxsxEBu5ATQtqstjj+HV266hLatAkY8NpYQgA+e1vfDMmAwbdIAs7tfIsOzwVsM0SEwcLY6\nNHKmlbge/EobGLfe1tKDfAsNFUP5/B952SIgowB7tnXrMSPk0gEK42IjcLHc6QaNH/6RX2mNETXj\nAZ05pmKSk55pA6USVOcRvcF5gF6mN5Boe6iuDOpMd3CcUk2qJ+cx/5ZMLX/PP7o3/Hwfkant5FEl\nGrZXBodxfVUGsL4HG+5kgJ4zysPFq1sYZNVqDxLHVnaED/CB0njxieRm+a88e8K6c5o/Y1kVFxLK\nR0b1mLqew/YPiW4/5rwbn668+Ra/vg5Tbr1t8NVLtz0hAebUg6PT1rr2nsMvHH/pmz233wYqI6H8\nNflFrldm2UYs08RoyBmIQMwZhTOvG3Ul1K9HC8Bn+4ggAcsZpLzfyxbdAvRAoeAK9A+nPpieTA+A\ntSymQexa84xkeKCeSY4CvQcoOphoWZzf5KcDefKOX2Wyn/ViP7fRlp/dSGam/6qn5fNAncu065FM\nu1YZrONBa/1klEuMFdSNS2f6ZUYP3Gppe3EMwgFrQA5OPNDTLs7SxK5sljk5fqBOkOblsJyY5/od\nC1vVxhQXYJ0XH1MRDGftS9Kics+vZ3Q2K3RlCiQly9H90u3MUJXRtMES3urD5SjDn2HcNwO/lV8k\n6XsEf4wUVzrb1WwyA4plnkP53D+gWesZSLnMO+SFd0e9d7FM5mBqSxqLaGuutT+gpzuYorG0Xt8a\ngf8IiI/w8meRESmPxitY7JXBAL3Fh2sZozcHXKXf9FK/V67nt/RHZI70gLQFh+3x9nsyOM9BK/00\nk6JXgCsRmCIwcUfVDssdiq145dC9TqWWvK4xTxKma4tB4fz6xDJz7w+mJ1A59QpYMSKFnjdmaOWz\nQ0uxEew83ntvXfrBAf0aXF/CiMOPSDKolLT84VIhYFrPP7I/OvP2q4OoY7H4bS+XOM3lhsxoh2TE\nelMT+4vkrt8Bvt+ZIF/5vWsFZ6A3ENSN0mzJiGhGyx7/fbV6MjCqTHUjcGU9MfCzzLP6lVNX/xEZ\nI72YVrF6GZoyiG9NjLJMiIyRnjvuYLLzdVcSMM/AnLAcUrCApPkT+fPAb2FeOlAaBmC16pPIypKe\ny1C9HD1jKvNuIaFQALkBLYOb8cYtvN09C5skj+UrUJ4lXZNV0lmjtnwc7slkC7m5Hoz7fC3MyuZf\nwLyyyr30KtOPz6t27PJVizxOqayAQeHUpymhHk3a0sS07AtTGjw16sUAh1+b9/zR8QPtwQ+O32To\nuKz5A+U7IiNiXY8gso7IVOeVAUnLMrVe0fGP2ttrM0+P8/CfJY22jepqTnU+i8yt9Afc6SZF5wrq\nU32eGFQ9Pp0BWME4Yg3OltejVDg+ONcZPfjzq6KmE799uxJjRspAzAk5BeQYkIIeEh1gE6R8SHR/\nCEZagKxRIccOtRgdjGHhKnO9F0zodA2rtP2BFh7/nxy94OiOLh+WEmzjLmPhuRzWD6CPjQIap156\nXA3PQCwDbUaJNw6+zGyH9QN7xM8UAz+I/GbHFp2CV3L83n+V6YGq6ZAPxKvMEUgrZeDRLybHk6m6\nmF+vWUYSv11D0rKf6xAP+I/ItDBPT0un7IDWFZKXLe+Avi1Uhuq5404D6ADmXLj0aQYuVTpl9aGR\n+vcAnjlynRSFxNvIqlY7XysXah1C43PvtwMw4mxAVCdIw3onxdEh0Y1lx2J1M6vNu7+ETmK/2kXZ\n7/5r0QKtTXb/8dH669F1WgN6niPQNwOVUyTxDoymnS3l7E2WVqfC8fd4Qx9C1TZGrOE5AAkIAcvh\nF5nOIM3LmnXjyVCWMVYefukn2m8UvBlwgR7w4ORTUPTSMBgwHcnps6TzrkfxrQFbmcrTe8Ctemma\nkUzL74Ff3pBxFj+k/dTvAfNRmRjoaXXw6sUUlsrM9F8Hwb1BYMOdZlIUtc/kZqVfUmv6ivg9zpzB\nm61qYN0xvWWMPCjohCi/XjKNwzp48VN524hzFb9QxW1pHvPN67Xq/br0ZhA0GDPwm7o73juP094a\n5H0px5wNRr4exw6NLmljl2ai9lpz6rnLs8iMWPZyCTwJignzwqmnksYmQid6WlKEe7A0P9yN/m9+\n5p49oN7izBVMzRBRXh6UfkumPidevJWhbjSRajJUjy0+XMvNTh59llTGSObV+K+FQ9/SE/BB3co0\neVoGyzQZWxPVB9xpJkVRLPQpFVC3VS+TNbha4NwBvJUvCvCWTgE8OmEG4NbwnnXC1obm6Q3SZXI0\nhGKpx7nskZ5DQIpsjbces16X3lyz1PuJUYP90WSkWurqmtXeh7HN36fldP07fEKjSFpoG3ii5NMN\nvcKqfr1MttBNolFF/CXp8rVq3ZQLKOBe7kcq/auGWTpMCXmOtd/U8rcOlh5Z1epnqoINhr08Cj6s\nxyzpPZmejK14lcku7MhQy5ZlWjjQt0ca5OG3AM8/AvWz3BPPf0SmtgXrBQlTa5vz78lUfVTGAXc6\nCz0XQyhVUE8J5VAarqCB54TeEmZg5Y6iP6ZcZpHBr9KZrhOVz3L1QfXShRbf9ksvG0SlyumW/V2K\nG629ZvpkzbmvD6pQvptjt2VymejK6jl6DPVsv56nZ669aNTrEklPnuAcyayrztHW0gO2bl5lplBu\nhO2pE3I9eDoVLj1W+sWOsMsBaOvRUwH0WJ9QfmU/C5hzX2E/nDwM/EyVWBq79owN7xXeK0PzMLB6\nMhmkPD01jSeT68718fK0V9G+zpyWZXJdw8DP5aoeLGNPpkeB8D3StoCEe3lVplJCnowD7iSAbpg6\n57LS5VJGmUBksGXQVhBXukMtdrai9VoBX8GZrz2axUZlHUTkpnS0SwRizphSAiae0mvAFburBlJ8\nSHRahnTO1+KxxKi8NShj8WNRmvnvEcjClWGTlwHKvffPMgM6Fj1Zf09mfxYpzyv0W5aZzLAQMlgO\nwphz485RzyANOSCnUHdjrPd5DmgTpPYf64eTAcKzzNl61QeYZWTJZ3EKpt5AoenZSFEjhvsnDsjk\nZ0uvIXkZdJXrtzgFcfVrnqv1s/6mJ4Op5z9SxigNnHpZGIO0uZFMux7JOOhOth96AnAlF+58nhvd\n0n1oZBWasQZl5sN0fSjQT56yZWF+XfWiAE6ceBfHeplMpmAIwUINW74cBcq5o8Gs4VRFNNpk65Do\nba56Tb0oTTN2Z+gxA+ft/VL6OTcep58kbRskPJnKqRu90u8J02TaEsXlDNIaNk0Zs+33EjKmaa5S\n67YAU9X1yMHSEa0fjDhh61sjGZbOMx4YlLhMT+ZZndbDk8l6sfP00i7kyTQQPwunPmrPkd/0OuI/\ni8wtveDUy5wX5snck3HQnYxysYHnCsozNM3AZG+6ypePJkWVQlGA9/LwgKAPWBjIZHDfs+BBcuyt\nI6Dsyz1lxFRN92AWrFEJ7c5uHxKtG3ZxmoCRO7p5F8s84vYGDNuXBV0N/IFpPSmaurg2AcofGk1u\nnsKz14EwlvIS4gLwMWRkAvwQEhAjsm3UZTcOEUgBXfOpdYoNv4H+Fq+sgAVsc9d6gzyZaUeGB8Cm\npydDwXBkXeuA4MnEwK91V8BXmVp3z79HlR2Rafn2OHTOq3XTME8m6+PdowPuZJOiCzbmYqFfqYA+\n6fJFBu7Rj61xzscFAT0gc0e3h4pfkZS60VdT7Ygqr6ax5c8hZYQETMGWMNo668aNt5Xp/dLGRioY\n8dKvIWc+Wnl5AK7MxncDtqbcZPQySzwWXXqeHsvVmpJhmocP2Oi30PXmAhKBdy+z7YkzooSozJAK\nHqe4LBsNMSPmungyxbIrY645Un1Sl4OlDcgzunNIQfeY+4Byqh5wJJHB/YvfJAEfjEZlKGhouIYx\nMEGuj5TBTvXkZ8Cjlry28uoKR4bn13vi6emVy3n2ZGo9M9Z14DCvTK7THl3j9YcD7nSrXOrvEhqo\nz1Ph1CMDapJrz8/gzTwUW+ZsKTBQJ8mjZWia5ORnvw4EVY+YUfZ4QW6TdR1AhQW6+027ihLMhY94\n8yMfG7V8xncXhZl7Z5n6sZHG9QOIB+7Nim/HTfs6Au1No4FzA/X+LSRTHJfRPkhKSMva9GV9ek4F\nn8u2mAXMcwDqYdP9wdL1F0NPtVl/0wcvY/0gclpQ/+NwNRg4LwMcDyDegDKy5BXgvLQWz3y3uS2u\n2+PHNY2nlw4gR2Vcjd/KsLpfC4e+BcAatsehe/m5HL4HB0H9pOvQ7U3qEoCUqpV+pXxoFEYfEvHE\npIKvxXkfSGh6lsuWPA8EIBma3uPQQfnqzQxzG08ygDQBMWfkNC9nkTYQandtbz+XEWeuVEburptV\nvXbj9zvltrf00ljeDz1s5CnN3uYKlFOfa7yF2Rr9cnvbWve2qVdJBWDZL73b3yXm+h1EXSsTq0UP\nIM1TfaBysdbtYGkGc/Xz7WA/03UeN60yDHC2eHvujypzJEP1TDsyR1b4qIyMsZ44mOeIDE+mDmxb\nfqs7KGxPJiSN9gMLOwuHniSMKZwR537AnXRSdEbl0Osvp2KhLycacWPbCGB+7exseVsDGJKadc4W\ntVrqytHxqGmdXy3vrY7GA0lsqtrkaL4U6ANF4371EOkxz8wUhrlmxI1nUZSb1tj9kLU+eVBeMXJS\n5wcAPdDC9NL6rg/3mKnMplmkp4Pbx26IHZLRrU+f2ylHy4lG2cDevoKN9d7XTpVi6wulsL5vFEXH\na8i3+smIqx5Z7J7R4sk4En9EJoPtSIYCKcu0cH5T1mdE/SxDdbhaTt3SW9gRmZC6cx6Ww+U5zz/g\nlKH5ue4K+AfcyZYtslE9o7zh2rp0+9BoZaUzN+5ZFkyLMBgz0CeRw+DMeZT2YTDf8nPHrPG2T00M\nqOcTl7XRUznBmNolovHIzJsbfcH0SXONovCpEbOxo/SKkm97WSO/M2pcGxgaTdMO4miSmZJpOs6d\nHug0BdXTZPa8gcmcYIdwT13dV4dkBBosjUtH3V43lX3VA/JysHR5vcq9ZWn0C7+2Ky3CNEJE/6Dz\n2x33ky2qJKEvh8vzZJhTOoPDWL8jMhlgWMYI1LVdTCbHaRlbdWbdVYbn567CfpV1RCacMG2LrfZJ\nTljeyG96cd9RGRvuZBy6Gdxmpdta9OU0o1ToisCjJS9n7GZWsQZsXrKowGy/gL5j7QF4EHmc30tL\n8SFh2eOlHIZRNu1KU88rN57Yn+TkdenjQ6IZ0Jkbbx8TxW746AeMNf/uHzwNtDeF9eZf/kZc3oEW\nNgi0IaCZgCwzUT05Lki4p2cI7QAPA3QA5TAM1IMwYkbMdevdXG9cqh2QwR2hf7gZ3EH9CdK/uJ+N\nQNz7zw83P+RslEDyGWDYf77mtDzg8DPEwAP4oKXgCUmjMjmP1p3lBpGhg06+Sj/redY83mClAKxh\nbIGb0zI0v4VzfpWx4U7KoS/8eQ2bUvkZpx7muj5dvwyF+NnCZguerXbLkyS9hgGtgcMgPfOibE2w\nXkHiE5ZzR+1otDwnhMPr0tvd7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"text": "<matplotlib.figure.Figure at 0x31a3d50>"
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": "# to find effective resolution we compute D at full resolution, then compare it to D computed at reduced\n# resolution and upscaled using spline interpolation.\nimport scipy.ndimage as ndi\n\ndef resize(img,shape,order=0):\n \"\"\"Resize using ndi zoom. Corrects for:\n http://scipy-user.10969.n7.nabble.com/wrong-output-shape-calculation-in-scipy-ndimage-interpolation-zoom-td17289.html\"\"\"\n if len(img.shape)==3:\n return np.dstack([resize(img[:,:,c],shape,order) for c in range(img.shape[2])])\n else:\n sy = (1. * shape[0] / img.shape[0]) + 0.00000001\n sx = (1. * shape[1] / img.shape[1]) + 0.00000001\n return ndi.interpolation.zoom(img,(sy,sx),order=1,mode='nearest')\n \nfor k in (2, 4, 8, 16):\n y, x = D.shape\n ys, xs = y/k, x/k\n # reduced resolution\n Ds = compute_resolution(ys, xs, alt, pitch, roll)\n # upscale\n Ds2 = resize(Ds,(y,x),order=1)\n D_Ds2 = np.abs(D - Ds2)\n print '%dx (%d, %d): %f m' % (k, ys, xs, np.max(D_Ds2))\n\nfig = plt.figure(figsize=(6,6))\nax = fig.add_subplot(111)\nax.imshow(Ds)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "2x (128, 128): 0.000038 m\n4x (64, 64): 0.000152 m\n8x (32, 32): 0.000616 m\n16x (16, 16): 0.002520 m\n"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": "<matplotlib.image.AxesImage at 0x2eb8d10>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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KPlu+rFwQ2N5pnL7Q30408syOdoPRdrs7elhL/SG0voANbVAQg5Tp43wA+042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wDrF5NnHPbJjvfTJphaH5ufU31dw/zq1HEczryc/UuEed4i7BnCX78XnfOjEUKCGh6pqx5B2zzA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\n",
"text": "<matplotlib.figure.Figure at 0x2ec61d0>"
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": "%%timeit\nD = compute_resolution(height_px, width_px, alt, pitch, roll)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 143 ms per loop\n"
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": "%%timeit\nk=16\ny, x = D.shape\nys, xs = y/k, x/k\n# reduced resolution\nDs = compute_resolution(ys, xs, alt, pitch, roll)\n# upscale\nDs2 = resize(Ds,(y,x),order=1)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "100 loops, best of 3: 4.05 ms per loop\n"
}
],
"prompt_number": 17
}
],
"metadata": {}
}
]
}
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