{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ " # Table of Contents\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Recollision Probability Theory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A useful source of information quantifying vegetation amount is the Leaf Area Index (LAI). To interpret LAI from satellite data, we build models of radiative transfer.\n", "\n", "One of the simplest such models that we can use at optical wavelengths uses what is known as 'p theory' or 'recollision probability theory' (Lewis and Disney, 2007; Huang et al., 2007).\n", "\n", "**The task today is to use p-theory to estimate LAI over some agricultural fields.**\n", "\n", "References\n", "\n", "* P. Lewis and M. Disney (2007) Spectral invariants and scattering across multiple scales from within-leaf to canopy, [Remote Sensing of Environment 109, 196-206.](http://www2.geog.ucl.ac.uk/~mdisney/papers/lewis_disney_prospect.pdf)\n", "* D. Huang, Y. Knyazikhin, R.E. Dickinson, M. Rautiainen, P. Stenberg, M. Disney, P. Lewis, A. Cescatti, Y. Tian, W. Verhoef, and R.B. Myneni (2007), Canopy spectral invariants for remote sensing and model applications, [Remote Sensing of Environment, 106, 106-122](http://www2.geog.ucl.ac.uk/~plewis/Huang_Spectral_Revised.pdf)\n", "* Knyazikhin Y, Schull MA, Stenberg P, Mottus M, Rautiainen M, Yang Y, Marshak A, Latorre Carmona P, Kaufmann RK, Lewis P, Disney MI, Vanderbilt V, Davis AB, Baret F, Jacquemoud S, Lyapustin A, Myneni RB. (2013) Hyperspectral remote sensing of foliar nitrogen content. Proc Natl Acad Sci USA, [10.1073/pnas.1210196109](http://cybele.bu.edu/download/manuscripts/knyazikhin-pnas-hypspec.pdf)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dataset you have available is an airborne hyperspectral image (HYMAP) dataset for which you have a 512x512 pixel subscene taken in 125 wavebands with a spatial resolution of 4m. The data were obtained on 17 June 2000 over Barton Bendish Farms, Norfolk during the BNSC/NERC SHAC campaign.\n", "\n", "The data are available as a compressed *flat binary* file in the directory [`files/data`](files/data).\n", "\n", "First, uncompress the dataset:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# or try zcat if gzcat isnt there\n", "!gzcat files/data/bbHYMAP.dat.gz > files/data/bbHYMAP.dat" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-rw-r--r-- 1 plewis staff 131072000 26 Nov 17:31 files/data/bbHYMAP.dat\r\n" ] } ], "source": [ "!ls -l files/data/bbHYMAP.dat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The file is 131072000 bytes in 32 bit floating point format:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nbands = 125\n" ] } ], "source": [ "print 'nbands =',131072000/(512*512*4)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# we wuill use memmap to read the data in\n", "from numpy import memmap" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "hymap = memmap('files/data/bbHYMAP.dat',dtype=np.float32,mode='r',shape=(125,512,512))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQcAAAEACAYAAAC+rrMfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvW9sZMd19vmj1G03aQ5NDxmRG7bg1oZjjyZjZWJNJO1m\ngkwQybEWjiHAjmIHzsr5A2w2yAcvYDj+kA/a4AWiYAPECYzkfQFl4wACImezwNgrrPRGCjDGjheS\nMrK18mA0sZiIiTg2aXNoeqZNUmJL3A9VT9dzT9/mcPzKyxUwB2jcvvdW1a2qW+fUOc85VXdkZ2dn\nh+t0na7TdQp0w35X4Dpdp+v0/0+6Lhyu03W6TrV0XThcp+t0nWrpunC4TtfpOtXSdeFwna7Tdaql\n68LhOl2n61RLPxLh8MQTT3D48GEOHTrEH//xH/8oHnGdrtN1+hHTyJsd5/D666/z3ve+l6eeeoq5\nuTl+5md+hr/927/l1ltvfTMfc52u03X6EdObrjk8++yzzM/P0+l0aDabfOxjH+NLX/rSm/2Y63Sd\nrtOPmN504XDx4kVuvvnm/nm73ebixYtv9mOu03W6Tj9ietOFw8jIyJtd5HW6TtdpH6jxZhc4NzfH\nK6+80j9/5ZVXaLfblTQjrXl49V/e7Edfp+t0na5KP8HOzsKeUr7pgGSv1+O9730v//iP/8iP//iP\nc8cddwwAkiMjI3BiByaBVaAHdIEW8DzADvAd4EXgIHAR2IbWh+FwTj8OzALLwDRwDlgE7sr3t0ii\nbzz/ID1vKac9CpwBPprTniGVfS7n8zJefRB2HizXPwGczv+dtnIb2jB++rt0/+TH4EQ6p7UNy014\nIqcjp1VbOlZGG5jfpjV5hde23s4bS+9I9Sb302RuO7k9Wzm/0vz1g3DPg6nsJWAe+D1rl6aEWH92\ngJHU131q5Gs7lqmZ0/hxJ91rNWFrAxpj0NuBp0dSH6ionh0BXn8QbnwwVmSQWpR+E6kMlac0Xv5/\nMX0RmCB14ibwvwD/ff5/kPLi5qAxktrMi8Ao8G85zZpVdCb/nsnlbueympQXs2kN9E5Tfzv5PZHK\n+V+B37R0AL/AXln+TdccGo0Gn//85/mlX/olXn/9dX7rt36r3lPhzNezHzvAAqmDbiJ1YAN4Ebae\nhOfvSYzRIA38SWCdIgDUqvF87ObfbC52mcQop4AHc/7TJMEwCZ+78j/wqf/qP6WBtm71hCSE5oGz\n+Zquq/xOrtPzJMFwNKddAg43k+CZzPWazeWr/dOUAd4AFppsTR+k1Vlji3eU53fg4NGLrC3MpedO\npzIPHr7IemeSN1bfAWPW7hZJaIrxhwoGXfRB6uQCYofqIN2xvACjqf/XKQLLn1n37HitTpAMSx/L\n/aEFg4Sj08/m44v5OAncSmrrTM7zFWANegdIAuEAaUJrAitW1na63joEW6MkAXKZMvi9sQ0Gpbn6\nXO9okyIYRvP5tqV7Ix9368jh9KYLB4B7772Xe++9d/dEPZLW4Ex9DuAKqaFrpJewSOrsTv7/RVj+\nZWiNpTwtEqONk97bGeA4qWWaSabzs86uwO/NJAFxbgd6I+neEn2B8qlf/k/waeA/5LyTwH8DfI/E\nbGcAtqHdTGWqB7sUraMFfI6kJTyV723l53Qos780J5WxStEKOlscnL3Ej9/4LRbm4fVOg+2zE7AO\na4tzqTxpTj1YOzdX+lRjYR24D/gDqAx6CaNVXRDT+8wkRt8gSRtRHGR1WkQPes30zLM1WevGqY/E\nuntbVPmmjn5YoTBOeicVreklYIo0FiegkU3j178KOyuk8TmR0x7I5yu5EpetQipPWsJ2muT6NBoq\n7xqArm+G634etY0JitAQpCghFMvenfYvQlIzu1TfLqSBuJgTHCS9oCxtgfKyHofF7cRIy/mnATSr\nsihM2c33GU0awizw4Eh69n0kJloHTkL7/3gpDeh1kno8DsycTIzfh06aFYHSNw+gDH5pNtNWj/l8\n/Rip7p2dVJfpfP+Y/V9vceONr3Mjr9NovM724kRq53oub5zE3K38nAvWj52TxZxaJGlMqpvquYUJ\n5hGqM6YYfSf/37B0GvCjIT3puspUn59jdxo5Wf7XaQN15+rf1lXK3hPtQHebNNaWSEz+InAEZmeA\nrwGL0DsNvSdhZ4rCnJfzb43UJ1Fo6tgM95t2f5Mqeb+K8Z2pt6n0d+W6H3vAbfaMYRrhcNo/4SBb\ne5m+nV5mqAVgjr7UZoY05c4B7yM19JmUrEUaiGJKCR3yPWfeD04kVX86/+4iYRyfINnFyjedj4+N\nJeY9czIx01NWf5/9xilmgcyQHvA0cDeF4efTr/3zL3Hr7V/j3T/xz4wf/27Jq3yLqV82fzDKJabo\nLk8nQdDJbVF7XFAIt1kC5k6WNso8cg0NisBimP2pBvpA9oGpWXaDosqOZU0oC5THSL9IMsd6wA0n\nq1q1Hl1n/rim3WNQgOyJJPRE3yExtzAFYDoz1fLLFI1glDRhvY8qQ+9WGWfeyOCeX+bAJknY6L40\ngFH7TeTjAfpaGpt29LodC/WKgmh3etMByT09dGQEju+YPUx6N1skhgLSC9EIETDZJjVwhSTpD8HR\n/CLH8+1l0sx/N8WkWM/ln6AAkaskBnmUpP4/SjIl+n2pbpGtXeOi1UCVibBo11v5msqezWk76Tc+\n/126z/9YSi8cAqC1zQ2t13jjwjtSvWV6dUqaG9o/4I3ldxTMRgJWGpQ0CkjjQ2bWnpgpAIxi+v49\n2bqjJBNQDQbaY7C0A5MjsL4Nn2vCpxg+YUW8LQKMw+7V5d+V9C6lgY6mNjYmMjayQtEARHWMFLWD\n3SiaWtukAfKz9pzYqKY9N2oIo1QlqGjUyhf1LB9U67GPgOQ10ToFF1giMfcJ0iBfGCUJgUMk7GGB\nJBAOkhp6K7BZVeddCxknMcVqLvsx4JP5fAF4mCIcjpJR5ki7CAY9U0cxKhQTp0EaD10KtrAAXIDu\n/I8lhh/P9esDlE3eaDWLZgVFePSA2W3e1nqVAz91iUm+xwzf4fzrRxJAKQHlWoLUe9nVPrYngfXY\nPg0iXZOgGKF4LkTOmaMFkO3lfGeoMnjsN8++G8/5vei16A25zg5l1p/K1w7C+Fg2O1+G3iKsb1Iw\nAycJwSil6qRRZGTXtkRNUge5lrFbB0RMwfELgZCbJAGtNKMhnddBgOXeaX+FQ4M0QKUqL5AYdQuS\n+rRIGm1NkudigaJWtYFLKb+/N6ncT+WsTwMfJJkQd1MG0TGSl+IxwntRYWKCPQR1+QCVmg9FO1nN\n1ZWHQ21uUDwODWB2hxvGN3ijd2NKcKGke+fRZa6sH2BsfIO3tV5jjA2muUSHRdZvnOT1zo18f2kG\npkeKmbJOAiN79pxliodn3dsn4eg2bxz0rkVokOeZqw/qbUJ3LJV3NvRd3cR3rTTMVdkXDEu5nhOp\nXq0jpZ9Zgu43LJOYSIIhmgtRGMSZvg5ErBMKKmOGZBrLjBgmNaO7UiTm98Z7WhcUuufPvzZAcv+E\ng9on7UFgnRhoGlidoSC/V0idu0YSFJswf0u65TOlmG6VNHN9iMQMWyQhcZrEqO7hGNAOrqIx1JFs\neA1Ejat1Egi6lNuo+mW1/51Hl/n+0ylo4d0//88c4AoHuMI/z743eSUmU7rvn52Fzhaj79jkOGd5\nhZuZ4hKvcyM38wqvvv1t3Nh5nbULJQ+HSfL1MEnQLNdVPJpPfs37Q6qtBMSONRLo7sDiCAXAHEvP\n9hG219FWN5kOxRouk7QDeQMmYDJ7EdZXYEsgo2ZaCT9X96/G/HXSKDJondfGSX3VBr5BAdrnYusz\n1TGyCxPXLNS2unrHuu6d9g9zOJYfu0pB9CExTYccL7BB6kg1vAe8G5iA1lTSMiAxuQKQvD9mKYJm\nkRJXcJYEQqrPFoEzwwKAXOLuIjCi5qm2HAYeIgmlTq6PAMI2cHyL9twrnOQ0/5lf4mb+nR/n25zn\nCP968SegdyMsNq0tW7DUgtltxqfX6a4f4IbG67yxmDGKp61O0pikKQyQCwZv3waDs6FcmhsUBnOX\n2ia0JvIMbu7P3TCF3SimkUDtQhIGG/TNhdZEBl5fJk0irgFEnMDHkgqm5jxeuxasQRRdw3eTTON/\nowiQA7k9Ma27kt3z4fWJ0ta1hJhO194KmEMEzvqqH2mWOwacG4NehxJJkwNPGmMl6k6BPm7nSzCs\n2k/PmCYxTY4PoEvSLs7UMb06VExjaeoi9nx2U8+u5/ZAiUGYLe1+5/Q6V149wHNvv5238ypjbDLD\nCq9zI//ae08CJ2cTBnHD7A+SENgCFpt0l38MWvDGci7bg7a821wwVMa5BJ+Djz4w5a5z4ShUXPcb\nJIacqPbH3wMfs2fVgYdX49F+2g3orUB3CrgE3JK0sFWSQNh6yZ4t1TqCe164V+JqFRp272rCIjL0\nTaSoyDpTZIqq1iGQ8VJuwxoJaxMpbYx38ACoWO9rZ/X9xRygmBFyOUpItMg2coOCMWwCY2UW9QCo\nRaoxDUtU3ZhuPi5T1O2zJKDyg8ATUpXj4HeVm3ReNzbi2BHQqpiEeeDkFiy30vOn4cr6AW6eeYVX\neTv/Hf8nr/I2Vpjh//rBz8FykzfGmzC+DatN3vj7d5Q+E67gZoy8G/JwROHVJwcYVXENtjH6XokG\n0JtguLtT3ovRLCw1yzUHI1Z340EJVNdwtpYo7rsxOHZLjmnZBM7DgoLl5AJ0BnCX3jBmvxoNEyAq\n/2okJnWcQK5HFwQuzJRe7Rmj+l6iRucA5DDBJgFy7abF/pkVd+2k+kp70MyvAdIjaQ/PkwOemsn7\nIO1AMQyQGG2eYvfLfNDP13A8DUkiT1mU4Ao8OAMP7lAPSkU30i5uTT8n1+tTlHiDkxTPRZccu7AD\n3RGY3mJ88gpT77jEGBu8jdf4lx/8BL3ejYyNb7J2do4bOj/gjaeyCSEsRc/bomgQH8r/PwqD5pDO\n43oJaQaNcM37RIP1AGXgbZJsfuFDE/DbwBdCcS6LBMLK/drbJs2QB1KC9kTSwheAR7egrcV8Yvyo\nDeieHubofDQVIiZQhxFEGgYSOnmgURgM0/fA6uP5vM5s240izuBAowSJpx1mcsBbw6xoUUXxNWM4\nBqGoxLuaRZAooEiBPw1KNKBMBYGcYh7XJgBOTCUhoRl4ciaH+Y5YoVEtFKNALfYwTJNQfToUYXaB\n8g7XgfZI3+TZ6I7xttZrvH7jjfS4kZve8R3ezqssXJrnjju/wr9zM8vz/3XqwsNrbK2+K5lEEjbC\nM+QiRe2yZ/YZX22QSuozrwsGH2yRKZVP6y2yFqGwadfcFHOid0nWDnqk44mZNAF8bgmWLsMXtoFb\n4EMt+OQh+ILiEdzUqcOI1AZ/EU51HoU62otAUH5XgWpoC4qmkz0pA2sh6gKlNOvrHUU3qYdfa9yu\nUcDXRRITXXuE5P4JB6mRUOISNPNFP3ZcxejhyhIObk7KJJFg6JJMiAWAl+FMBxhJgOYysLAD6yPZ\ntPAZJyLPe1RRfYx2SYJI9XB1u00REFtAt8UbDVjrvYPXTnyXqXdc4u28yo28zk9PfZ1RNnk7r3FD\n5wccm/k6d/Isz7/zGM+M35mwCCgmxQXgEy8Dt9AXZj0oYKH7zAXEaiZSHxywysa2R1fcFfoDuUPV\nRat3urxNiTZsQqOdsKMecOYSnFnIa1duA56D8dvTGJEw7QuFOsGgOvrMfS0aQQQE68KU3ZUbqU4o\n2EBoKL8z+mhIX1dff09+7ukbVAX7QUq0pSI7L3Ot7L5/4dMC9GQjt/N1rY2YphqnL83CsYlJCsNp\nqXO0w31MHyVdmB4pcRWLwPwIrO4kVXxg0YyDcXucSXycSDgcpgrCalaXWt2G8RPf7dd5ozvGKys3\n0+NGrnCAKS7R4WWO8XVubLzOOu/i/+a/5QBX0krMM6TZWitE28D4LVaRnTw2fHC7DSygUQN3gsLw\nwxrXqPk/UYK2VoGlbdi6RB8bmG7DR6dgfAJ6l+D0eTjzEgmUuw0at2W39u0Fs9kimZe/fYiCQwx7\nF5q9d3tXcR0ClPUjMdrQBcZYzT2f+evyZQGw/mWGr6IUxdm9ab+e/XRP5NcbdpwgSWr12bXhDvuH\nOcznRUdnKYNZ+zLI0zBtmSQA1inLr+XK1JoEDUqtjsxLnPv+/dP5+voOcAU6GWH/Aili8u+fI8Xa\n35EzNIGJvCA0qn/55TQgRVdeJSbidygLq/QuJcyeyu375BZH577Bt17/cTa6o2wtHYQGvP+9Z3id\nBq/xNkbZ4Pz3j/D21mt8/9xsEgoLFLzmHEkDmiV5Cyr4QjyKNsMxt7s/8/i9bUrEoWEMfWR9joO9\nb7HWnktu1DbJc7GseIRt4EjxUnWoLgxzkoaovmoAi2coodt1uINTnIkdbBZF7SDa9YT7V6PobpT2\npfo68Ohu1ohVSIhEcHHYM6+mJek93vUWwByWyNrDJehNFVtUGIQEQ4wkFLjYoXg1JEhcICySmE4C\no0FefaeXfACW4EPb/xuPffxX8p4dUl8EsGVa9IEjezyr4b0gFIYJC5k4ilDUtXHSTDkO45NXeOXV\nm/n+8hQ3tF6DdWgdXWOdd/E6N/Iqb+N7TLK1eJCtRQpTeT9NUsy0SZK51KcIODrQ5W10FdZnOEWn\nXs7/D5CEqe4fhNkRxm7cYO0USTidMqEwfiQVK41wneqKWm9LJAHKFeTd3ZWqr64Trsd8MWCpzo73\nMq9GKiumv0JS6w8w6JnY7RlRg9ntvh/r3uXVNKl62j/hcJyERp9rFgBRM4WWXktg6OfrBLQicdbK\nbNlRsQ3rK5RNOSC52Zopoq8Hj936K3BhGz6dYyhYJA3mGWA74xLNZHZUBqJs9SCFK4Cf0WnS8vCF\nXL8zJM8FJOEwC+PvuEL3BwdoTV5ha+EgTMLW0kH+dflgUbGXSDa494/CtNU3yyRhVwl88rpKYHjE\nYO6b/vkGVfKZrkHRAmZSOfMzKbDsP8LSyEHgPHAoRStuTZTVsnJdqwvVXS3773JLYdnyUv32nfDw\n6XyihV9eWKQ6ld/v7caodUy3F/DS0zVIKzmfzefyttR5K7wNdUBrnUBwinWLXppro/0zKz63kzZV\nmQRWXyKtZR4pa1MkLBpU8QY3r3okJtH2b5DU6mMkxvv0NmWWa1Id8OZPnpwoay04Twpr7UHj3vSM\ncaArQEeqYpyFfAaq0RzmSescHqMKwHbyfYWQyyRSO8ftmnAVD/waJwkc99C0SbtdAUVbgKowEHM5\nAOu2vK5fyX04RxKct6b39AmSkDp13sqegcl2aY/ej5jb35sEgLQouXc1OUiYdKm+8wbp2V84Q8FJ\nIvPWzaC7eQTif1GcvV1qDSOVr01XVkgv2fGFOiZW2XHvBccKYh13E2zRnBL93J7Niv1dsi1f/CkS\ncDXeLGss1B7tmtTJ105RMAqlmSSZELMk9Ps/yhbWYBfTRrVvNC0vPp7zs0ESDBnpPXEiMd3dwOcu\nW75hqmF0f0J/tp4fSe19mqLyaxm3ArpEfn/LrskTsUzZbEbCU2r3CZKweETPdoGg/85pIyS8IDLQ\nCkkdzkFIJ0ha1CkMP5iHxkhZsg4lxkRt8hgWCQjhI2rbbE6zTBU/gqpgacTyTlO12+uYp05ARLqa\nyh1xAV2LZlnEK3R+E8n8is8cJrREjqj7NdEw4eDmRCOkfStgDs+TmE52OCvQPQiMlVr5Wgl5JcZJ\nZsBCs/jNp0lq/2oPzvkCFJHcdBEA2oT1Hjw1mjdGhSSdXkzpFkhehkdVhjpdtq5rEHVosIF/iySG\nPkbBCjRbuqBQu8VEDUur9EsMLsGW0BhYTKa6SkBIo5Gg1OwLZeuzbCMfH0n1fZjsalwDZtJahsZE\neT8ybdStYmKthfAx7m2DqldKAXDKK7OpYWXod5zs9oxYQqQ6t+ewGXYY1bHJMMGga/l89l5YPlOT\nX+Nlt+dHfMjHl2sXjoV53v8y2j/h0Hs5LUg6fktue5t3dpf5/l1jhSm0OEkxAk94fsoeiksyF6Kb\nK0pl1yCctmFL5odWf2ZA8jSUTUCjZrCX7beyWt9rlm3jFNcwTtkmTpqBVGmZDj1LLxeoz7iLVJlo\nnjS7V1yxTYqg0MIpCQZTe8cPJe2mRdI8zm7A2SvATTA7ldY2yLSL2IGEkmZ5uao1psepmhaa/RUD\n4dqSJgyf+FwItnK7madIWgltvdthm7XUXbsa+CfqUb+qM5oqUSCFTXEqdlK8HoVAL9yDMubi2oo6\ngVBX1t5on7+yfSG5Mj8Ih7b/H37p7f+5j9zTIQ2cR0gzxFPA6kb66aU8v0HZ53CU6nqB+MLELP7y\nvOMd+c7bcS0/mbQbVmB8Ji8F3qRsjeZCok71xK7tlP0UJdg8IEqqtWbjNqUvoAiGVbum8u4mzaSa\ncfvkaw8Ua6B+GoOPTsBHDyWtCaC7BI/uJOEyCUyPpX0U50eKcNKxndOIWX0th0elqvmuBbngkDDU\nepdlBjUGN09WKfuGdtoUrbBHdSfnGH8wjPn3KhjUEJUXKWojo8D787ncmVEoYNehCJ5RSuP1i5rG\ntWgKWsh1bbrA/mkO/Q02TlNg+0xtUlsX7FrX7SQHzSQQ3Ecf1TUNgAgoxWlJNEZ/oD21AfOH0uUF\nlaX9DPyZIldxVY9cd3lX5qluEuuYARQ37gJ5WTfFWzFNihtQMJVwiQskZn3e67kCHEgmQG8H7hop\n2+Rd2IG/X6S//H16gn4Ak+MG+mmMuuYAxbwRaCxQtEd1XwutuBXVvQYou3lJgKoeCgvH6rOkdjrF\nCUA0DH/wWImofdTRMK9EHcg4Acunqe614BQnlDqNN3o+4nE3obCX9gynfdQcDtKXiE88w0v/00/x\ndY4l4OssZUv37g4syn6O4aaaIcSE3tnDZnaoDogIZsnD0SBJ/G8kZlMIdv/+bvbiNoMRlfk5WkG6\nTon1UKi37k+ThMIxYB5+7M5/590/fyF/HIe0mKpNUcsVXnw3JQ4EgBk4NpYCsI6PwNMr8PASXFiC\n1gjM3gKdqWLWeHi6/xRDAsXcUZMU1AVVDEJticLFf1h6Bx09b9fOBXzq/zTweyepaoYS3nVg317w\nBV/NuRuWESNN43/FykizcRqmQTiIqfbAYDvqzA/vUH/ebmtMdqf981bwA8qHQq4AB0os/RJJmTgt\n+1idoY1IoLgUfYMW1yCgDBBfBqt0rk1I6Fy2fOTynwBugtbtifke09qAYWXshj4Df9BMwuYsBVOZ\nphrE1CDNoLOkaMdJ4AuW9lHg1HP5Ge8jbYhzW9IK7stlP6G6bENjrHh7xGCL1h2apbFzzfrOoFoQ\nJ0YWAztmNk/BSKQFiHxNjMpUOS4g5MaEqtfDcYtFipBYOk81GGu3eIA6IAOqDBWZr+6eKAohU98b\n90BPKzF3i5GI5dXVexhdzVyI5vVbwZXJKmX1WN7gs317cmkC9VJfKqNrEL5zke75S/VVhW7bufZQ\np8bp+BLM3w4L21Q/azZqeeqWBnsZxj2fG0nuTDHQZLnVt6+xo7SIHmWH7LuhfNPjSApT/ihJqC6T\nzA6302WmSDuRdjAZrjcoXhM36ZRGE54EmJObOTJLhB04ifnVRtcs3KUrT0eb6qtT2gt27dPAnzyZ\nT+oiJiP5eIiMP4yGMWAdKDkDjTuht0KaADdDmpg+Ao3DxqSnjWmgOq6HCaK9uzL30axYJDXkAHAL\n3Hd7nr1iR4pcPRPDb5LUdxcWmyFNLGPb7rlA8TwuoGbSqs2KYHATZtieAf5M3d+shoaLBLBFZpIt\nvwx8aqWYFEDalTuHI6+S3I2PUPV+QHVWlkDoUOx5aRKHKftbLFIEi8Zqj0GzwQWQtILounQtwLtH\n9ROO4dqBm1YSoDJvZDZJQE0DfwJ88h5KyPvVZt1ou6tSuhYBkZgujqs42zey4F0JabaraQaerbHp\nZcbyewwA5/3yNH6Vxp917fDiPmMOU8mVeRdm1wpZ1X9RnY2lWVsd4dF/Lo3VqYqUFPlmJTEflnYN\neIHyubNhWkedGio3YqZFkuotvKFH0Qykwit2o0Ni4t/JU/vpF8psL0aaprhHtdK0bY+/mpkpRl2n\n6jKVpuCgIhRVvmH3sWs6FzP75Nywa9qsxtMKT5i29F63xfzTatweBV/5AiSzMMfKVEjvxn/eASKf\nlV0yEtLEtRcujPL6k/sgjZdLdl+udh8r/txhMRlxwvQ9HGJIfwR1lD+uAL067Z9Z8cgO7/xo2m79\njaW8L+Inyeqsrz2Pdr1LTUnLOnMAy6f/E5Y/goVxYOg/JLOlQ/9r3/3BFweJvqgs9TAixdm78sl8\nukxihEeeAW6Czi2wqHiL85RFO4eKhwMGA4lU3TYp3Rm7ptgBbw6Ub4Q6r/hajDqN2zUH/erAxt6Q\n/HXX9V8CTnWWWRJdoAr0krdn0criEunzdbA38wL2hua70HeT5GBII+bfJGFBU5SPM+k5U8CT4bkq\nS+d1MRoRW/BxHU0Ux8CURrR3zGH/NIfj8P3Ts7yx9TZuaP8gzQB/AMV8cIBPL0T3GlQZHwoYNEY9\n4ORqXR2C69JcJgeUgKjvwHybJCDq1FIY/DCKv7ix8tzjJPOgLxgyTrL4AsnMOg+NI9C+E6YPlb0g\nNLM6cOfXJklrNx4i7zBFdcMbD2GWYBATijFlIgzTQr0MNy+k+tcpT1A0Q8cYZEJAWVbvQVCutQiL\nmLR8HYoJ1QGOTVFiDHYD9iJIB1Xp5ZrGMJqz+z7huFnwEmlikcDXpiv3kBD3e6gGNDkmBgX48QlS\ndID6vS2iYGkwqDHvjfZPc3hiB9Zh/EPf5dWtt7O9mMNx/wTS9mC+MUadNqDRp1gHJwcoow0XB8tl\niiYQtYc6lXKB8h3POA06hhEH4ApJeLwfjo3A889Z/WU3tqub2YgppEK7ah+DjnyGnQ7XOpbfQclV\nGJiMxIRq/rrd04wt8sVfUPVAOLYSBYoY2jUW1VUCxjUf3XNzomvnihXpkZaJP/o4heGc6uIchoGS\n/v4140dNVRSxqwnSniAal5dgcgrW896lXAplb5Ne0ghJan+NNC43SdhSnVYbx3NdvX1bOvXFW2Ft\nRR6E3aXREsdCAAAgAElEQVQfK4NplSws6zQHqCK2TWg0A/+6mxMGlyTXAUkTDFLMo27S15Iukj7H\n5+WoXi/me1/L16VN/Hx51gLA7dVZ2mddkcc+OPMr1kCCwxl+loTk300yL1qkfpUXQYwVTd4GJRxd\n2gTUh0G7oFEd1A6Pg1BYtATeut1Tub7UXGWJOqFtSzntvJU/bfcbJBfuXffC0y+RbI46M9L/u6kg\n0jZr/l59U9i6smxSaN1J2j1bTHkgbzCUN8lpTBUhuZrznhjJWxa2LZ80Dk0gZ6h+o9Rd6t7OOKnW\n9cHVaf/MCg24LtDaqfr6jyvq0YEcKIIiA4G9bcqGo9obMap60WsRXaNuQkTu7IXjXP7pS8getEJ+\nvlyMc7kN+cvM7TFgAsbzbOKhzr5C0asgRhQza/ZV+nW7p3yHqW6moohHRWHqOTCosq9SrVPUVNws\nkJbh2oYHUnm5Yv5JUmBXm7KQTEJCJBOlTRFSvknOMeuLZVJEqILAVnfytnwrcN8hBt+nKAKSoyTG\nHaNsZrNtP5/lCf8VcKW8DdIW/QIAG/me4nEuQ28DuGTxI800/j9GCgJsTaT9MfqmiDTP20gTz/uB\nO6Fxuz1nKRdWB+hHbWNvtH9mxbmdNIM2gKPbsNosg+rzGPosikqOq/7qEN9zIQKB2PU6EyUOJIGL\nenaTZOd9jfSSJNmbpBDwO0iDYDGVe/REGbRuY3tzHMwT00M1WlDM5zN0tMUdHITEWM+TGEkaWYPq\nFnUOMIrqTAHVQedYPi8jRjS6JixBo7QSVK5tSOvRa3DsQRqHBIaetaD27ZBCak+S3s8m6ctoC5Rx\nEQFo1xglBIaBk3oZw4BvKNiBNEpts+fYFfS1gejxkVB0l7NC6qXxzZKXy2tbvqz5jgPdF+CDt+Xg\nt+co2oVvEtwEfuotEAR1bqd0hAafBsF9lH0eKy/FmdsFg/Y6jMwP5WVLVXNtpMegK0hlejx8j/Qy\nvgP8PHxyJAsvuaom4IPttBBqFdKGqlPVgeyqteOZDjC6jPJ1BNj1aHvHmXqV8sHceVKdNOg0+9fh\nqS5kXKsRw/t9NyMaDAoYL1uuSeXzNSWugQhQVZ5jpMlQmFyfOagKuC6w9TJJkK9R3t8ofPBOeOJ0\nLkA2vAC63bwZ3tl+TWMx5nHMqhPyCSA3RtZ7IveNTD5ymyU4JNR7lIWIHjAmgb8ObDmeskMaqwco\n64ReyvePvwWEw9M7ML0DPft61LIlOgV8XtIxRjRG0EVRlv7CfTm1u0CjVtGjur9fz/JoF6QJ+mrb\nh3Kw1sMvUOzMI1UNIM7Irna7Ta1HiWmjiSCE3weJZmKZDBKszqhdknp6OpezRfl8XJ1gUB0c5BS+\n4PiEhIILM9dkvJ2udWiwL1o+1VPPlwBTm9apfrFez1ggfxNTu1TpXfqWcTaBHL8nLT3nKwyaBRIk\nfs2pTlOIk4/S5TEzfyIHzYk5paXY90OFNajdq5SPLTuWo/YvU4SJY0DjFIypIsekcUsoNSjbBN7w\n5rkyf/M3f5OZmRne97739a+tra1xzz338J73vIcPfOADrK8XB/kf/dEfcejQIQ4fPsw//MM/DC/4\nKaDRg/Gt6oylwXQG6hk5kvuGfacjxxE0o0RbM+ITfu8K6W29mI9NoJ0G7SmgcVuy+RpHqgpGjCJ0\nU8LXKLSpBg75MmUXFj4oWlZOw/L4smnV4+lc/ryVr3xKI1J+FzKKjXAm96PjGl6O6tez+0uU+AS1\nQ/EXSudCSX0jd6bKOAusP0OSEBcp7zy+P8OVzj4JJ8You1rBIJbl1yKO5K7oUHblOArcmsPsRyhm\nRIPq9oTb5Z31SCaRhOksaX3MRynYyoXQNPVTh7JFIKQ+nc/X5/Wl8TFoNNOS+0m4pq/Gswfh8Bu/\n8Rs88cQTlWsPPfQQ99xzD9/85jf5xV/8RR566CEAzp8/zxe/+EXOnz/PE088we/+7u/yxhtv1Bd8\nBug10hejp7d45+Hl4itfJ3fKQYrNCFXxGDUJIboSKHHPvjoVMZb3VdLHTjfy71YKKJT3RDhD/Rer\nfeb02TLGBMhulnrsYFy023VPZoQvetIAI9xzBh8nYQ8SNBH8U71VnqItGyRmVDu9TDc3HCfR7I7d\nd0+Eh0u7IJKm4ObHkvXN88C5l2H1GVLneyxJdOP59QZ9m//MGdIsLn9/k6rvv87FGbWDYfESGkOb\nMK4t+y9RxuxY+o2P0ccJ1rfzFgQbwJW0K3qXxOjP558iRvVOjpO9NHnWX6QIV8V5OF6j/OrfjzKw\nM8LV6KrC4ed+7ud417veVbn25S9/mQceeACABx54gFOnTgHwpS99iY9//OM0m006nQ7z8/M8++yz\nA2UCqQMeG8n2Z4vvP52nqvZOYqCngd/Ry6oL4nCJLezAZxGBlO7aiQKiRwqL/gbpZX6Y5GW4BRq3\nkF7syXx+J/21DK7CK/TXBYOr0+P2a1FAZQeflF64gMoRrdp1N1li/INjA8JvtkgDaz2U0QrlCf1f\npmreRBkqIRQxB0/nwKj6Ru3xmAQXHst2/ezjKQ5kYQl6z5E+WR+9Tg486MECFqHqrWpC5wglilUC\nomH/o2YgiqZI1Cwo5RxTfgkJjb8d6MoVmkHzVt5whwPpfFXpSDjRWQqDa1wsA408+/d2Uho1XdqV\nxsoSVY30DInnroF+KFfmysoKMzNJbZqZmWFlJS0w+da3vkW73e6na7fbXLx4sb6Q5RX4HDC+XdTY\n1k4yNXrA9Bb8R+DoFGk2hzI4NCAm8vEAVXyB/F8v8xuUFaBfo2gGSyRxPEdBmW+vPkpFSW0XU0za\nf2fSWQpTrjJoj0trUDyBmwQCZevMEw9GalEVEm7COEOfI80oT1NdAOWxCPIcSKAs27kHK3notsqK\nE7bK7VA2oYkYi44ymZYpW98t5DrzvpxogYIl1DG+3rG0RTFujGPYTM+57wRlvGD5nCLjj9k1j3tw\naZjHntrer6O8FRIEqi/Z3Xk5ty9v4dcwtV9CQpPMaYrJdSxUQwJb7+UCxaUtwb9q+fZIjasn2Z1G\nRkbyEuzh9+tv/GVSjf5n4AMn4Na7gZFkI7Wy6jQOnFuiqPVOdXiBS3XNNJftNwGdk7B4nqQFqLcb\n6cXEwe694yBQVKF1Xczt1ZNr0E0RzbxC7R0IlCCRUHFNxIURVLEC1clNANVDM9AC1X0elS6ea6aX\nu1GIeBwtbQZ3aHIk3oWR7ut5HhC1BXTPU7ChOpzJpZEEgAcgOVjoQiLn2ToNp36e5IY+HRqs50Qh\n4M9woREHymhpZ/89q74O/vWoulDzZNYgaQI904JWRwpm9HROvrUDiwE/OE56r97nGlttYO00NE/D\n24Dvck30Q2kOMzMzLC8n18K3v/1tbrrpJgDm5uZ45ZVX+umWlpaYm5sbUsiDcPRB+MUH4afvTtcm\nt9NAWRqB5VZ6h8faDHaoXpj7kXV+iQQiSiCMwfw98KFDwE1pV6nWkfxdhxnoZMkeATpJXYFn7qPv\nhfuadR0jcMAu5tE9vVC/55oIVE0Bxyg8EMrJZwvsuEBVA1f5UchJMHmdeiFPDHZSv2BHCS0PmpLw\ncsGwDvQuMSgYHKiBapRfncfAQT8XHsKfLgNfgc96Pg+td8mnRsk0HRY8pHTZdJE22N/XtEHSDNQO\n96hZsFKP9ImESp1Ik+cF7B2NlO+0HCf14RnKcxU2P02JIr3pJHz/QbjyYDpeA/1QwuHDH/4wf/M3\nfwPA3/zN33Dffff1rz/66KO89tprvPzyy7z00kvccccd9YW08+9Byo5B3SbNzuWCwnZJMQ+fbtO3\nzfpq5ouUgfQitMbgrin49BQwlzCDyUPQmSn+4aMj6Xd3Lv9TWeiICWYpi5wIRw/2EfO5ql7nvpSW\n4YzoTOVM5maLYwLO0IoyhDJL11E0VY5bO7pU1144DQM1JSgEcAkkc/NJAkI/CQFFQnb93suwfjr9\nOE0y9a5Q3adD5OahyGd00bDZPrgfH9LCJ3WqtischmeoTK+PwpZFo6mcRfL3W8XobuLomkBzfaQ4\nR06u+7aCV4D0Rbbk/t2hv+2ggOwLpK0OZsmLzqx6z5PicM7l3zrlmy7XQFc1Kz7+8Y/zla98hdXV\nVW6++Wb+8A//kM9+9rPcf//9/NVf/RWdToe/+7u/A+DIkSPcf//9HDlyhEajwV/8xV8MNyvOkrZB\n7+bGnABasL06UWomO+n3IM0sUyR/9R1Uwccm/DapI/8E0mfnKasS5ymIfoOyUevTpM5uUwCcOqzB\nPQTqsemQPs7oPrZUjqvcHvjTqilH6detDPcQxLpKwESml7bRIAm+cztllqrT2FWuvBZucsi96eTa\nk5eh2UwCaR2qkXsw6G2IuEGTou7XxRkMC3gTjYU0m8Az8Kl74Kl70vh76BIlVNfXUzjF53qAnKXv\nULxD0nZ7nm8k97VwDwX6jVKW+kM1oG+s5J1slm/ETlPiWHokjdhNYwkLYTmrlN3K90j7uE3cTvks\nXI+0k5HUc0gD7mFSJzx8hiQ9lkjg5BhwBxyeyi7PbTjarM6IUscXKT5k99lrVr1A2qfxNFUQTja2\nB+o4FiDGceBQ9x3JX6XKQG7XQxVbUB17DAqklj1P97B2qs+UV20QKHgXZZ+HqBFBtU0SBAqCcg1J\nmst07juV7/3l4GUXEhM8y+ACIJdOzph1bkNnMjcb6tyRdec6HoCHT6SJ4Xng7DZJc1mjKoA8TyzP\nbbO89uGuE/C08mdGFVbzIVJYc9/8soCogTa6QLBvm/ojJ8mCKHx2sUMa7y7speltkVjo0ZG3QIRk\ne6egu13SjC819jHgs9uUDWgPwuF2VlEv01/5eHiidLiYWpOAZmVJWTFvdOl9jLQH4TFKpJkElhgF\nyy8GiCaE/2+F/D77QmFEFz4qv23lxzgDCYc6AaEB4b9p4JwEa+7XT1JCrFUn9ZPq36XsJiVbVriJ\nniez5RxVr0wX0gB/gTIryu7XAz12BeqFQpOyEtIZtg5vwO55eZHRG8AEzN7Jrd/+Gj/Bv/DYP/4K\n3H2GagStlzdMS3HN4SbSQF6jROPKk+YmUnbJCyw8TOrHx6hiP0DRKnwAqu9yPWLcisbnNElIHKPs\ndK7ry3sXDvu3KrMBLLwETz0HTz+ZZu8WiUE/+0JKM30bSf16MX1noUf6vsLknUkwCPhzt6HO3VaO\nTOOz8xmAner2666aO0MIVMPux/KVR3VzN6cEQHyGqM4kieaG10FCwbECMe3yy3BOgG2Oq/9U7qd5\nqt/J8KObLVvhuvpM2sGqXetrCZdIwWQKbdaaBigdLC3Bwb5hYclOPrNH3CEGMtVFPObjCeiwyDqT\nPPCLf2mNrNsP1Muus8K3SZ4vuTxdO5JmIfOoQX+sXdhJUcLR3TvveUcpqz31X23bGRw/Ps6mKbEj\nomt0Ze6vWcEZystcIyGF2qdxFGgX6Sh716WlPAk+iCeput1k5wsjcJVLWsInSMBoVPt7VLUEMbdr\nIFH1l3CKmMOWpfH6+wuWWTFp+cWIdQBk1BzUtoXLpCljBhozZXHPBUsnbUuCVPVWGY2acvVM98xI\nOGxpcY9mOw9aioCf6GrmQ9313YBIpzEGNRGBie+nvXORX+QpFrmFr4y0qAqGuk1e6+qlmfwkZQzr\nmR6a3aQalFeXJmBzd5PYY8uerclG30Htj7WdajkKTVfciugu4Om3glnBNynRj5ukjr2zipKLpNbq\nP5TB3bBzDWYH/Xr23we0OlYC5gzJNnzKnu2ovY9t1wLE+H4vgpUuHNw8cNNDwKQ0jgtWvgA+F0IK\nz14Hls+T9NSJahCWZqToJZEH43nSgHmeqpBV/8vlOG1ldKkKLBSfAIMCIcam+GcDoGoqiIbZ/DIz\n4nXPr0lF1+qEzEHgRELz796iPfcKS+86lD0ndXs3evkeBNWjv1Xb8dvhrHZ3kgASoOggo5tTwUTo\nU27j7Bgs+3dbmoPjsE7T1HU9QrwgM+apvQuHOj3p/yPaJi1OeRG4DWYPVWfUOoDPVWfd9xkZyvtx\n9X+cKoNEZm6QzHJnvmmqMf5QNVVkg7saruevhvTK78wnBnRQU0DTBauzApHauayFl2DrEKyu0FdZ\nW7Yq1GeKlpWtukUNYdHqE7UdKCsIt+zXW6IskXZTwYEVFeQzu9a7jFHdyg9LWxeu7P+jhhDdjMNM\nDR2vAM/BJ5N3YIlb06Tw2DbV1btOkYEngDV48ERytR+T+aYO9FgGCSut0lQ9vX4NiuaQNZ5ljwYd\nLcn6QmAH1nOeecqqTihh1E5Ldn+PtH+aw2R+7PoS0K5uRw5V7EDXu3Yu00Ez7rrlgbIrcYvqenlX\nxXW/RXKF/h5lltQz60wBr1+0yx0wdPBy0u57HVSO2jZPWborm1Gm0nJGuTv2zBbVD9BI6AiIVX8u\nW55x0mIfgPHmoCalvlVbliGpstpIRbOidygMMrquRSZ3cC3mc6pzXTpJyOxGUfuI5eUZvX0Slh6/\nSlkNmL0n7/C9BMzBfSNwSriKA6iKhdB3VWHQXemu20x9N/UGlX6abla1VJ+MDlP1HmlCknZZERRv\nBc2h/+QV4GvQ+3DVphbjzVKdzVwtdzxAjOiuua1wP2oZ2H9pCa5CS1J3LZ+wDwfsVE6dG1IvKNZB\nTDxJWYzUpgSsnAMubEBjrIyRY2PVXZmXrVzsmW5iuetVaQBoJoDqeZLJ/HRoq8pBcQAuDKQFiAl8\nBWwue8BkqAMIPb2nwc4jQ3ueuGdoHM4xZiLWTbP6JiydBu4l+bStrvMn03s5vQJHZ+Dc47A8StIC\nnoJTB4A7qa4K9rbI3bhBMaFlcm1X00+PlXG2LMwkf5d1dTMtxe6RAq3kPpb25xorO+nCerM6/upg\nn11o/zSH8ex92NoAFqB1W7GhxCRuPqhhXcosLCbWz02J/oxHdeszFx5uRkCaER4jSeIFShCVq9ya\nZV0ItMJ1kQsBT49du7BNWViWFrDR+UgaABI+0yQ/+bqVN06JLHXtRXWRtuHBVu6OlLngArdCz1BU\nWl/hKKqLK4geA0Ka+B/qw57Z5Zqfx9HesDSq0zBviF8/SDJxD5VvjS4tkQZB/H6q12WRtJ/joZzf\n9fYsOOcnstlCBoqlMfnmxzUaREWoqK1ZG2mMlGhVKJqjAO31uvbmR/feCoDkdH7sFtDNO/uMH0l9\nMG+J5Wnop6W6h4DUbgfhNOvLXndgT0zp3gvysU16ib9NYkYXJmIwqMYENOy/mwfOlBJmmtHHc/k8\nTloRukIlSIeLcPjDKZ+ASZGEjLfJ4yAa4edBZY7jiA5jG4qcp+ywpE6RplDnefD7orpAoqg11JkC\nPsMPEyxukkQpHMtS+mHl+LVb4fihVOTzX7brrhU5GKlrm6SFXJ2aOijGQ+aDtmtTuU36M3xFm1B8\nRM+eGTWkA9AaMWxN5ox2RIPajV3mgYW3glkhG7cNLNwCvctlwMsTEceBBrZrDY6B+awpxlxlcLmy\nuyB95j1OEg6nqNrcUGVu1b9hZYgkvb3OUNYiKOiF05TdiWZI9qg+ekJRETv5OYuYK8ueHUFEXY8u\nXah/28u5zssvUN1QV4O2FzJG0FF2exQSEQ+IgqHOTVjnpagzLWKdnCK2MXqVdO8HDqYdo/od6WBp\nrIvqmHcT5yD9D0H3hYm0Ate6ZFbsWFr1ifrZ+6BBER7+gnP5W16vTapLy7G8yjcy+HHkq9A+fiuT\nIgjGASaKi84nBQFkUBgjmhzuOfDZ1M0NeSDcPBFgJ144RVIBJ0lqvQKrpK3ERUhiQmkgKv9wPi48\nU8KQnwaeWEngVe85+lvWs0bSHt5HGVAzZYMWD2TZsv/ulXCB5Z6RSa5O62LWeYrKFu1hHX0Xb8cZ\nBMZBCf317zx48A4MBjLVaROameM11aMOu1CauqAl7UCdV39Of5gkeb9BWq/jAsexCp1T879D8YA4\nEwt7WKMEgam8EWhMJSwJcrvdy+J9XrdNgT9f+Sby0fqwpT0imlzr9nCi/RMObr9LY1jaKMLC4wR8\nhtSAF+MrkMdteVez3buh968x4GaK0h8l7QPogKTubdm5my5QjVrskKX0Qfh7ktBZArgJ2hMkVTSb\nD8yTzIpnKbtor5X29yim7Ja1t05rcTPJTYcY4+AeIMay2fYs5avQcbYSw21SZT6nJlWBEQUAQ/LF\n6wbCAYNgp9L4tWFIm4OnnyBpaNluX32c1P9e3uWQ39vgpA/NzOXzBn3B3pjK+zceoKr1rOTyV5KW\n3HOh0Qvl+CCNK1Tz3pCVfNtUPCOOIYlHDivd3mn/MIf5/Nhlygy+sA2zzUFzQYwiJq7TdB0MdAEj\nYNJxCTcZIsAIKZT7YXuWMA9H8mP0oJ65SJr1PTZCdV0HzslFBSnMeJskIHqkwfru9P/u28oeDB7M\nFIFGxVy4yYE9M3oyakkzzrNUNQbRsNgCvQgxQNz+H4rQqAML685FzjBRQ6gDLYeV8bPpG6cLAF8O\nzx0GgEbGjM8XA59gUKhMUcBECabYJ8IV9HzHHRzbcHMtmnOj4bxOi8okV/4WXIsrc3/Nih4log+A\n7cJUUtujO1JjRoE5MOjWdHvfUXgJi1VLG82SFpnRNkq91LESBnJprpJi5MdJGsdRyodkJLEXqa5F\n6JM+mnsrSSjMkWJm80uXeaPnSbj5D6pakvpIfSCB6hpGFBoAjCU3KQ3K/gbDBEJO3y/EB2X8eIzy\nxV2eHZ3fTQtwBnIQMEo6lfEN+tpA4yOkpf3PwML/TgJ/sedCvSkzjPSM3Dd3nch92LRfj/JNVAcf\n9dFbpRcWoW3ioPrxGRcYbiLJ7GxAS0LXMQ3t+4C93500OW5pa8S90/4Bkq4yy7RgLG89fmdR4312\n9jgGqAoLV7UlKaU+CwtwIeJle/5V4FHgE2OpjNOWZxVgI/mjn96A42MwPlL2QJQHRGXFVZWTZP81\nJNPiJdJA6pAGtWaAW0rchWs4s1Q9JS4ABD72wlHXPWjGj6LnL8HkCVh/kmqY8zD3pABHB+10LWoU\nUdOg5lq0+WK6mF+0RmKwOeBn8zPfD73HrS4wCI6KYvkSAL7LWNQ2qO6z0VNaF3zyHMjel3DQXqZY\nAREb8Q81uVBRW8byZBBjNmxB24CWeIU0Ie2d9vdbmW5D92fzzcF4BaiCbSJnCCgzc5xNRRpb8mJI\nSxi3+zIxjudjd6WYFieAu8eSFXB0rGgmy/m4xOCsrnJVx1koA3A0Z1rM5weAGfgPwCOU4BZfZ+LC\nID6njlzz2pXyKlfmGIxnqAMTN8K5H+P3IZwZXQV2SdUI572QJzKR060kLUF1+Gooz2kYjgBFYxqm\nptssLhdzbzvkdfB1AXiZvhbRGYHWFFXyLRBdq3FhEJ4N2dSNmpWbRCItchwlTUh7p/0TDlKVpTZP\nk8Hyk8UDEIG0OF5ca4hh1tI0PFqxG8ry8GeVs57TPUJekDTT36WqApK6J6FlZcV6NkK+cSiDQG5M\nqZd5l+xZ0k99I7NE7e6GMl0IOcX7u1ITFi/DvDbe1WBvhp+lBwbBxt3MBPf7D6usYw2E//9GeZn3\n5GM73/sGVfPDFzi5reWajtohRtxNKLjbMbucu1BCopXXNRQ3u3qwuJ2rEr6Z0RLAeICyxFsTiNfJ\nPA+rUA/W9uhvKeebxfTH2t5pfzEHqIJ1CnhazZ3o2oIYUOqcXIQO1onhpRGIuZTfVXHHI3x2lSZx\ngcT8hy3fOsWEkNain8pwUFDt69lPz+jbixOkl7YNvB8+P1OiHxUz0aVgM3ERWd1kOozvrkqjOe1N\nVJnff+6W80bVgXu65xGWw2ZsP8ZK6zlzwP2k/nqS8pk51TOaQqpXLC96R8SIYtqr2eZHSIwsjEWC\nqMb86AuOvFCtu50mwXE9K/fNuLscVReo4jWXyjMautejqqlFQRI1v73T/nkrZncKM7kHYZwqDqF4\nBCgzs9yIsqknrQyPqHRA081aldUlMb+Crtw+bwF/QNolSgypWAfXOBohj66pnhqTyq80S6QYg85Y\n8o74hLlM0RCWQ51lvtThC1E7v2ZS4EyTxHyaaeswA6cYkDOMVDlnor1UeB7mb4eF0yQGEXiqVaHO\nIFBF9+s0kehB0bU6jCECqAeBO+ATI2l5/7J/3cqf6fURHiBmvokSGj2a/n+Q9F7PqSyPdlQ9fBFX\nFiQakxozlT5QXigelLeCt0Iz/TTlE3HSFmRTw6DHwWMTXG3uWXqovicXEj7ZeSRlNH+3SMDk+k5V\nQ4AiyFxQ6RkqI5rNrtlCEWCLO6mtT1G0heOWx+M2WnZNbR1mtv9QlAfcYRXoCHrs0DgT+1eso0mg\ncw9Fdk3D0+dZvPGr6QfAIiw8bnkdaPSPxXjcgM+iDrDqXnwhXt+Im7jwuwm4CI88B8vPpXYfvgVa\nt8D0IZi/BRqHQp+46dGgsicka8AKPLGR3a26IQ9Hk6qrdIRiOlDM29r3rrJeIAV6XZu3Yv+Eg5hD\nUYjTVD8Rx6V0X4zqDAIlDNrjG+qOvrbCwU1X0T29cIlJ0sv69EjBNAR4ikEdt4iCyE0YQvpePp8e\nA75TtAM931+0hKWDjy4AnfYsGHabObbDx1vrGNjPvZENBjd8UZo6nEEM41urAczkYp+xtBII23Y+\nymA4dgRKY32dXBNyDamurpkmb4Hpdi7/O6nuF5Zg6yVY/cs0ZhTxyxGgA+OHSEJFL3kFeiuUyMp8\nfUseCqXL5dMkfRRX7XNsZTsl7eT6iY+AJEj0/ZabGB5KXk/7u8Gsq+JiYGcUvTef2d2UUBqtn3C7\nX5jDuJ2L+ZzBoPqtSwGMbiKcpSwdd2HjWozyEvL6mOzatV4u83mgdwk+O1W+jK0Vk11KDMYyRUC5\nhiLT64ehoZrGBsyP2Wwdbfg695/uDXuIHyUMrpDUdOD4r8LZJdJqUFejPQxbDKFgK1fXoZ6p42CC\nan08nXtc1B7fowGYvTetQxm/DbpPWnkqQ0u3F3Pd3k8fDPxgE57YSe5vjZHV/CU2oD8hVrwO2ezo\nCyzJrVcAACAASURBVD33SkRTSP3asHw5KpM5uGvsmraJ2z/NQYzUozozQnUdQ52q3qMauOT2v5sX\nPhPH8OdYlmMfytcl2YEfC2UOG2/xh5Xlz3Yh1gGYKJu1ugkj80Gai4SB2upHNzX8fDeqFQw7wFhW\nceUeHIYpuPoe3ZdRbfejyuxA+1fT8ewXSS7IGSsjf7GsEuyj5xy054kxXFBF0JGa86hNxPiHGhBv\nOc/E3ccZ1Jp0LjNijsSYi8CL8MR2WvPQfTkD8NswOwEPAQ8Cx6coH+HdtJ/HXGihl7uUNygmXTZF\nGiM2BjrA2Jv/UZsfGcmNGRl6nsLsy1nKirGcOaUNQGq7axxieEU/+nMEeMqs8QAiaRRiZjHkUdJK\nSqXBnu3agernbk+de+yFC65x0i4/D5NAKQccHZiEqlkSzf6tIccfGodYgfYMLNUh/1DdQTrGQaiy\nIp+N9X8GuAmWnqS6otFVbSc1RGCiC6WoCdQh83WmTqS6fN7mBmXLfb9mXoeK4FEfQWrjV/N7OUja\n6ekKLB+EzwqbkNZxAKZHEvZzZiPttH5BWpEvp4+ajj2318zjxj4StZcJw2h/4xz8/WvQLzEIsChY\nyqPSItbgoKUzrrAFFwC+utIDrmSKKFx6Kd/7HFUXaVxjsRryR+1E9WjV/N8iB0btVBeRxRWhPXu+\nSHWN7VafDBUMUa2M59vAaO7TDoNqe4+q/doMR6UVUOjA4CdIqvYK5evnvkOS3INiNg/JdlvbV476\nMbaj7n80fxoMCrXYFt1z9S62tcFg2fE5auPXSBGyXyNFx7ZJWsPjwBVYvQRntuHEWOqyh5p50V4E\neHvhqJgGync1IX2WYHmXqtXQ/q7K9DUHijScJfXTNMDaoCaAHWNsAxTm2wppnVldXdc9xS64puEg\nYN248DIjdiIB4NhINCtcozk8Uuom4SBMQ4JC58eommK+P4XqhaUZD9f9U+9AZUmvlvoykTaxves2\n+l8o7zNgg0FmjG5AUprWJ4BfpjDOF6l+5xSK/15lRh9/xBY8qtDPY1Shn8tOd7u8YfdUdwk0b4sz\nvHs+3O6XFuPhznFGjyaWnrFNwlqeoWy6PAG8AGd2UsTsw+TJqkda7p33kziZl2s31AfmkegC6y+X\nduwpGK7Q/roy5UZsU4TCuUsJLV8Cjk3lmfrJAuC5CeLv121yZzKo2vgt+w/1DOsmh5j809THWags\nRUvWCRG/Fs81Zlok08WDt2I+vVyFfkcNOUZKeqSoX9/NzOgPoG3gQAJjgSoItlsBCylv5xMk7UOL\nnhQJCmVJtrsUXbuQOh5jEfTcuNTZmTqW5+2RWaJOj6aAtzWeNyhfyY7P0LMdH9DLjRGh8dikfADI\nfy/kNN+Aredg4TmS8FiE3nngdBorp4HOFPS+DEzB5FgS8LOqew628rVGe6T9Ew4SBhd20jJm2dmd\nqWpYNQB3V1XtiAFpdnRQ07EDn8GhCBqPNIzjPUZTngK6O9XdrsWg7VAfqNr+YtBo/jh2IC1KAS2q\ns8ypWYoJoUCvScry8GimueDwOsb7ddTXMMaybXyS6pZoMgU0S75IEgoXU9rGJ2DxNMWkqLOVo1vN\nZ2w/l5CIs/soA1pK/yjB4wFMhLRuAgzDSXrh/8+GMhwk9SApaRc9ygIqtcl/UA2O8rI8qtRJQugg\ndM8Dz8HikyTw8zSsP1cmsS7AVMLxGuxt8x+j/f+QrmZeMaEHF6mBW0BvOwF3PYrwcIZysDAGJsnN\n6ULFGRwGTQ4JFxc49zG4z4M0lEWq5ohrBqpbbNtkSNcCzuaoSbkusfxaAj5N/mI2xeQSudCThuHP\nGhbe7a5gF2BH87XnH8kJD1JmzzWSRuCuOC082rTCXZ2XYPCgpViZeL5dkxcK9iEG9GeI+Tepzt51\nAF7T7kehQ27TPOV7B67O1W2R50DhUODHyvBy6u65YHTB5v3juM0UsAHjt6T3/UnKBPonbwVXppZR\nC9wTEy4zaP8DCYGlgHC+dFmkICqorpeIGIEHLq3btW5IA1WtYoGqaaI8rkVg+XT0shyncAnfZ8hm\naZvK1jM7FEB0iSqzu4AZp/rlK6h+wi6S2tLvv+0kFD4GnHsOnn+ctP36PGkQL+aHn8yV2qQIBgcQ\nJSg0q0ZsQIzodvp2SOf3XQD0qJogMhmw+6qHuznrgEbviJhG/w9RtfM8gGszpHetyAWJXpLckU5x\nGbf6TM/YDveiwPV+yeV1z6d8sxSeugbaX2+Fr1Pw4B6ogowtgMUqM7lAiaaGYga27NigmB4O5DXs\nWsPK9pgHPfcs6fNxyrtKlbHi3gl17kWNlQigatwdaw5uRiNNaZYiVBet3bNWrmInvAzRwAS2UzVt\nfPD01dIF0mA/RBqAF+njB41DJK+DXHA+ozco4Ji2ZJeabwuIgOr2c02qAT9OniYG/cR73uA6YNHN\nimFeDkvfgsE9NF178LI80hFLI9IqXF845WaaBJm3L8aSuDBsUDVd9Gm+XIdlfqhAuf0NgvIZO4Il\nbotvAdxWmNXxA9ccxBAyUXRct7I8IEnMJcHkLsPIwPodpWAfrrpH1TxiGXWxGq5dRI3I3a2q62lr\ni+rl5o9mh2UrS0LR2zOdz/teih1gg/7eBO1svj0mIPFSfrj2TZyjbKjSzPflq49Cwj/0ovswqD04\nwKgO2bb8zVAOVJla96PQ0b3dqM7LofLzrweD+zuqrmJkeSt8xnfwMzK0f3RYYc4ROHKzpW5Rm565\nGa6tAbekeAmN+Wv0Vuzv5/A0+KWWy6dfN3v3IKHe74PJdvUdOSDXogB6ULW5I9rvarliDLYo4J2H\nXjtmMU/Z7GOJamh11/K5/S7sQ/9V9wikupnhdVMaCYcYWDVt6SUs9FO9V6Gy8rJN2V9z9Tk4drt9\nt+GmnGmBxKA3wX23J2CWyyRhAWnQypw4SAErNdAjLuAUbWwPic528wCDK11N4E//WcPSeXpX93cj\nmUNqg4cvQ9W0GbZXhZ7pWg2hvqKIVXg+7wPl93MXakeADfiofTFtHPjCWwFzEGn29iAlb7NmPSCh\nxZlzvcG+74PPyl6eypeaLmEit6WbKrLnVynCyvGIwxTB4ozdC0fXPJxifIJLddXJtRUPsFIdovCp\n4BZUYyRWd2z/yhFoNUvfdYDVl4BmFgyaicToB+mDkKcuZcQ7p++TV8zNiTGqNEaZPWPcwqYdm1R3\noK4TDMIinLnijD4MX4gvyiniDU3STlPa3q1uKbbK9zp7Gs3+mwwKRP/F5+uam0seiKZ8dVoTMJ6/\nq9ql+t3UPdJVhcMrr7zCL/zCL/CTP/mTHD16lD//8z8HYG1tjXvuuYf3vOc9fOADH2B9vRisf/RH\nf8ShQ4c4fPgw//AP/zC8cDG1GFWuFp/11QfTUAI9qH6C3vvbVXc/9/s6epCQz+QeUenvQTPzUxSB\nIW3BBYKbMVuWVkLA3yv23+MRuhRfdfRaeJ0cL3GhgqWT+eBpesCFl/IaikXKjD9PwRbEDCv5/4u2\nnDsO1B6DKyL9mwy+gjKug/Alyc2QBztXJztAKXXbB8GwyEin2FG7kZZPx1n+Sjiv26BFgKVcnAft\nv+5LcHik5W4UX7DHd2RB1CAFy42T3N1yi18DXdWsWF5eZnl5mWPHjtHtdrn99ts5deoUf/3Xf830\n9DSf+cxn+OM//mO+973v8dBDD3H+/Hl+7dd+jX/6p3/i4sWL3H333Xzzm9/khhuKHBoZGYHWTlUI\nOGDidrQz8zhpFdvkRFWNFkNCAezEiOOWX+SmjJ6h2AHXEKbt2iLVdxZdpI6DKNLTzSJpIA60OlYw\nS5Xx118ANmHyziI4XWNwV2fsu0mK1rN6nqRirpBUIu2MLFX5/ZSvZ4upD1I+GR8Z792UNRCXKCbE\nmJXrR49u1HU/n8rlODjntrqnc1Olzu6PYKSDjlBlqjoGjGq/rn2YZEapXtFVGevgpPQeHOX55Br2\nfva6RbcsVscISKoOF4F70lfjPXAP4OE30ayYnZ3l2LFjAIyPj3Prrbdy8eJFvvzlL/PAAw8A8MAD\nD3Dq1CkAvvSlL/Hxj3+cZrNJp9Nhfn6eZ599drBgqdSa/d1zIQZwEsMzmnaoVoN9xvbZWtci9iDm\nczefu/1aVD/F53s4OIj4SctficdgMEgKivBy3MFxAT2jf54Djny8SEioTh7nMUv5FHsX6H0xmwtr\nJKzmDNX9AfK2ZXyVQVecdlgSye3WAP4N2rfn/24GCDzULObbtzlJYIiRdF7nOajzMnjgkte7F9K7\nWkZI5/+jxhGZe4X0vYvLIZ2OV6weHknpQqMO+5Dm8B36X+Gq1FfCW4MuAo76FJ/I3Z0HgY3ivtbk\nd410TZjD4uIiX//617nzzjtZWVlhZmYGgJmZGVZWVgD41re+Rbvd7udpt9tcvHhxsDAxgt6PM7Tj\nBu516EIf1Y2uRrfPPX9E96W+u70u16d7L8btXEfVQ2Gr2iUqmkdS39yc8ecrjYOoXuceebPdmSK0\nlkkmwEJOd9Se0T2d2nlhB5ZeSOrkyV+l7CmgPQmcYcXITZIgErO5BJS7Tepzvt+F6pJpDxxyj0TU\nBmIcgtfhsqWPWgNUTRKPi1AdNLs2w/9oMjSG/PeyvJ63UTVvXKBE7USYiK8sVUxDNCVcqIxS3RIO\nqviFhIQLHXk4PF5C/Xcr/e3rVylrlZa4JtqzcOh2u3zkIx/hz/7szzhwoBrAMTIykqMe66n2ntvf\nIjFeHUbQf49TwPuLOxEGtQOld8GicnzlpKvlwzwGuu/jokti1qMj1fq5kNN/PSdqtHF8OUmAKdpR\nQi5iD5yGrfMkYXmG/iftzryUhYsDexFF99lvkTLIlGaY+68J6y+RTBWlkUocvwYd1fRos8cNTGK4\nszOdhIWEUayf296OiWDXsfNIw3CKOa4uaPxZMb5B39VYs2vCMCREexQB7O1znMPTYGlc6Eq4ZyB4\niTROFkjjp8010Z7wy+3tbT7ykY/w67/+69x3331A0haWl5eZnZ3l29/+NjfdlFxfc3NzvPLKK/28\nS0tLzM3NDRZ65cEkmt4AJk7Czsky6N3EcLVb7sbuVKm5u0CdET3eAIqQcDcnVN2ans61EKV3b4AQ\n4HP2TDG0u05j2XXai5sVEngydZYvw7GJFKXYvRd4GbpNWHiRFIOwSZIEGnwZQHx4hWLnahBNkOx7\nuQklPKDMuI4LNKgOaij++EOkGeoFqvsxRMxBR2EGMlskjCKWoLo1rDzVxbWMCXum2q1OVnuw/y6F\nm9QLl8gOGYStxQJ2y+tRm46RCJiUZ8PrIMHnnxR0M8ndpPMUzCeaSbemv0fJk+Vp+MbpPXJ6la4K\nSO7s7PDAAw8wNTXFn/7pn/avf+Yzn2Fqaorf//3f56GHHmJ9fb0CSD777LN9QHJhYaGiPfTjHDxI\nx2dvn6V7Nfd7QHcjr0DL1zyNM3SMDFN5Mjf0fD3XQUIBiX7P30WD8tFclemrQdep4hce6ux1Vn2l\nKSyqjC+QBMC7Scz4TM5YNyPH8NmDJJcj4XpjyH8JGp+9HUvQYNan5EehcwIWv2z5YoQflMEO1cHv\nwKPX0YWMCzAXIg4I+rP9ucPWKvRCGaIYSwBFCNWBjJ5PbdN5FAjeL34vakAR8PSgKkWi1gkx9dkV\n+iHuHxsr+zf45PXU3gHJq8qTr371qzzyyCPcdttt/PRP/zSQXJWf/exnuf/++/mrv/orOp0Of/d3\nfwfAkSNHuP/++zly5AiNRoO/+Iu/qDcrHC9y/AAKswjY8xm7Lyxyp7pHQozokYaxXA9AiuPS/zuQ\nKE+D113lHiUJBw/V9jJ0zQFPx1BU51WqAU7dFcpMfpHEHBooDo45WOWN0FZlGnAucZ2ZoMxkTs48\nESXPKm4f5HKAMUbxxbzuslNZ/v0J3Y+AZnST9hhkcK97NAHieR15eU1Sn3s9I6kOUGXyXrgfZ379\n5KVwE0ICRfmluTVJAlzvz0Fjw3nGp6Cb36XMdMfhroH2L0JyeqdUdpjbMgoN3XPPhNvziltwN5/b\n6z6Di+FdW3Fvhq/8jLzljD5JWaznIKfq4ys/GxTzR0JnmaR9XHiGEoGnqEMoTHcTg0KgbuB6hx2g\nxCvEWTHOsA3S4LsS0vrsJ+1B9w9SNidx80TlR7dlNDHc3Vnn5nSTQlqFyvfdqOPsGwHE2E++RqFZ\nc1R595K+3xGjIkVRo3D3ptfDgcjdtJA6TccFi4PDKnOO/seD6aR8J8M3LXxs//1bIUJSs6QHG0Fh\nyuh1gCpjNoDeSvIYQMEoPNIy9rur81CVrBIA6lDhDh4KrQApf4dLQHenWmePSZimBDMJ6FzcgfWl\ntOfB1nNw4Umq+EDdQIzurqgJQJmZZBqI0aWq1pELnJX838FBCRbXMlTWGsweyucC11Q3Mb6eEaMf\nVZZfj9hCVLOlUUR7vWH3/b/3TUzrVDf7i6IJ5sJjO/zEyDpCNToSyxfLd0BKYGUEfH1PDG0Zt5iv\nreT0I2X8daiO+WvUHH4ImOJNJPWFzAcH8erAPB0bOb3i+beCidELP71XlSdhEBckUZNP993dGOMr\n5kcKdjBO2edBpsgSefnsd8w80SB1t5f7y10CafDFmdQHrAsIZ6YZCtO7pG2G800Kiu7ai7tBazwK\ny1C8HU1KMJSeEUOMpTWM2hGGB1Np2beYzNvjZo5TdEvWmQRuPsT/8uA07Bc9AvE5ejcuBKLmUlc/\ntT96i2Jcw8H8jDWKgHSTsVOSy9xbJI23w5bsGmh/11ZE+1+zrTOnLy7SdVHrEHC5zNZx5Zm7NaEK\n/mHlSePwaz3Lo2OcsFX+SYpgcKHQA5YuQ/cFq5R82oco6qLPzD7zRapjhrq0fu6Rd65VRC1DDbtM\n9YtSdeQMdQZm/0cS046SEHSVJc1D9dB9Nx8ccxDG4rP7ZSujYeVHE2C32T9yhtL4fhOxH2fy0fEB\nxwZ89akDo3reAQZnNqeoHVyxdHVg8xppltG7cUBTQpOy7kdh8gLK4ZpXZe6f5iCb35cmR0+BM7fM\nDai6OxtTRXhMWx4v3xdfCZeQit+ztG5aeDkCON28aNl9BZv0vQl1KDx2T4CSD+iInGPXdNTOSz4Q\n62zmqJb7bBvTeYCSyjxIERLDyle91rL24GaEZrjo3lSfaEOYKAiVj5APCubgmIS3R4I24gt+Pmy4\n+4dzVN6tVDWuKHQcU1A+Bx2v2LnfhwIAOyjs99yd2bDrDZLm5YLTNcENODxW3PMKgJKpvTSk+UNo\n/zQHZzLXDGBQtfdZXUfHJLobVa1hmhLwERc6OWjoGkAUPrrvm8ZqbcciOVrxubSt2/Nkre5W0loF\nmQh1M7zPeBoIomHou9PKkOvOuJrp3N6tmzmh3rugZ9TZ7O4pUPvOwOydlHZpEZewCJkJmuFceOno\ndrlMnmEakQN7YtyeXfPYh4jLxPLqrrsLMaaN5l+8LyGm/p6gvONN+ylvDAxzj4/qMUPpv8uk9yOM\nQXETOb0vYuxQJrW4mdIeaH+3phej+qpFF/gehBSjFiuRlGuDjB41OhcMW+GaaCvcH6e6vHsLUtDP\nUs57O7TGTLCMUo0tcHOBcD0ypQ/UjXC9zsvg5JqGz5CeViq0/zx/rA8UxotCS4yr+1dyMwWSbVLd\ni8GZ000BLwuKEHNh4ZhE7Aevt2sITfsf8QFvczRLJJTeTwk9P0iZ9X3jGdXXJwExq+dxjUZtOUjV\njFOaTbsPRUvUZ/LU31MkzncNdBuOjxStYZnqWqFrFAyw31vT+7JnqG6aoqMDh45PVPAFG9iz5E+N\n5XPHLHy1p+9P6as62xQhc+45uHAJllbKnpacgFY7PWeWsmHKKvBgk7SQRrMH1AsCBxOlfvveBwIA\nCdfq1HodIyDDkPMIqgybVeuEgtvqDoRuw+ppEvji5oT6QP55KCswHSx074xrOuq7bYrq77Z+bL/I\nhVc0J1yguMAS9VKsAFBlZqV3N+koiUnfTdEWxLBabal2zlhe73/XIA/k/yv5/2LOJ6EjdXiD5L70\nma9Zvs7uCxjlkZtlcDhchfZXc5Bm4ACeSJqB96PHKkCJXpw9BFv5RUuFgupeB1AFQPt5KRpCg7RP\n5Dg5VuL2NFAmZ9IYkDAQziDhJtPjUUgM4o3xga/r7iWA3ZlzrCZN9tL0r0e7yTvJZ+ZRS+PxDXVH\nD76pY8aIFwgDuI2qW1aMLQbwdrv/PsYFuPDxurobsw6zibiCt6sOrPR25bxd96IIDFS9GqTYgg5F\ny3EtoUmKSblMilZsWhlrlm8+/z9IEYiOPwhzuZjrt0gSGgqZlrmyCbTTdzA14bVJ2kKHsmgvLhvY\nA+0fIFk3hmMkl/pqK/zXvcqksF1cmp7XhZDOpUFIMKkuSxvAWFkjIfOkQfVDt45PqB4CLj9PWkdf\nC+JFW8c7wsErGJy1dU3H71ANQR4GwOn6NmkguhvQOz+6/HTN7ejNcHSTp0laFt6huthrzI6++QsM\nbinvtrYzqOolJh2Gy7iwckzD749RFXLRtLhM+dI3lO3yhKVAsffvIH3Sb4LqrA4Fa9mmfFLwMom5\nNynxCaMkrEoCX6aK4lq8v6WByBwR2NxMj5BwiNgZlHF/DbT/wkGMKq+C9isYD2mVXrO2C5NxgNEE\nTE7nmdYFjcryDV4awMIOrOdosllgNufVfTG+ezm8bBcW5HovwuBMC4PMqobVRc0przNmLG+bQd94\nzB9fr2YnZ0gXAl5PKAPQQTjXGnoh7xo0TkDvIomBpC3EYKjLIZ8fxUQOJDqmImYe1m+usXlf+DFe\n0wx8kCQ83IMjgSAsoUFZbv3VnEY40yEGd4PSZjbCYFyjUhtXKAJBMQ3z+TkuzC9RNNHwbn28+/h0\n3O4ahcP+mRW+JkImhGZkHRtUl2O7ieB5VoHJEWCt7P/YsvIXXoaFy9UVmD1S8FKHskkKVPEJPcP3\nXnCQUkDpKmXn60egqJiiOLtj5xoozjCOU0R3GFaO4utdA3AVOuIJmnm2LZ+n8To7kw1D1icsTWbc\n3mloy3MxQRrccyHdjOWVihxncNdMhNhrdobqPgYR03GPjoOz6hOZTRKW6vuDcPReq4O/I+XRhjnb\nuV161xIcMqMuWhkdqkDihN07EPKrT2RCOJipDV5UxiblfWbSOFZovpvu1whK7t/aCm0TJxVe27S5\nViBSOu87X68gWl5Kx9l2/p/tMpkIXpbKiIFSIhdcSq+xojweNekv4QRw6nROFD0Irv7rumYU/a8z\nL4Yd2wzu3FRnUkQzRerr/8ve+8fYeZX3vp+BPb3j6Xg6jYfMgKfnTMo4DBMTHHCT3FtXdYsdQIU0\nSCgXKCicHqTTovMHldoCV71qri4iRqVS24sQRwWJqL06AdEqRFyaJqg11FASHDDgGjeZ1lNlnIxh\n4s6xJ/ZuZif7/rHe76zvevba4zGXMrFulrS1937f9a53vWs9P77Pj7Xemlnj/R2kLqBiJMSPHWja\n+CvqCCVGK7wdh+U1tKX76F7nyQlHUTjqPrU2Yp+2kZh9mKzJo9CJAktMG/0OneY5psKzKuogM+F0\n04ZyF9Yo8xgUEtYzu1kI8C+s+7huI782sUPe3MVpdwy490pYWyGm8yQlz450XwCUSCMKBiV8aDKW\nzqTt60dGy/cDxp2XZJKMW5s15a5jcnQqE1L3l0N1rPkcgN7QXyRO9z/UILZKhM/Sdk5AasfvUWMG\nlZjd5wyq/+4EdMdojcHjCsrvpn0+gaTZdpKIXnswRF+HnsvNCbWrZCy174KhQykYoIz8CB1Fh2WE\n5bqf9kjwBXDqm5tSa1bHnZVurg0355STIHQS62Hn9YwqM6xv+bbuc5ii17FLXaFCfYnAJsvWvrfC\nMyT1cM50cU8Gn9NVmkVX54HRbGJoxxsJhQ55leYMOcqgdqYo06dX7LcckvJzuHBy549vM+crSVcO\n08vsNS0YM+XkyHLmdKdeLDuor7lQ+zX7exvlduuOLmLW5Gi4frBS1737kHMFpCGj8w97ln5aXeci\naqkVte/XxQxGjaXGeDBc1+yHcNuupJDvBN4JfEJNnmue6TQ5+WgbpfDRvbZTJn6pdEmmyZrV65Dz\nGbxPvp5CbbhTcy6197aBvKlxi9T3IdIu6Utkc7jDZa3K3DqHpASDGF/2vRjPEzfWmQ1onwO2Jx/D\n5AAMjWbaUhsKZ2qFpQsFHXN6XCG/5dtjwlPk5d5uQijbLCJZCagO8BvAb3uEop/PgdCQ76sQHZGe\nzqxyKbQQnXk6pns6CUg7+v313+P2tchFzPqbJ1HpfSRv/PesrVr/o8nk/hfCddEskSBw1NEK9d33\nIMHgDkLT5Pc2n73A50jz+m5g/yiMXA9fuh6+QHqxEU+RE6ZcGJ0nv9HqDNn3cJ7E6F3SKwOk4LZT\nrmlx2tE5tdfM3wjQHiizIj3reIxEw8dJNH2SyypbJxygpE9fhRm3iesAyxq40TwIKmJMX2Dizks3\nD8bIb6saJ0eUtGtz3PmpZW1p4xnlNvi6EN1DJs7XoSTifmYF9DKNiDUKE6/jUDpqwRp6UImRCS8x\npOgMr/64sHFmcOHTaMIZmvdiSKi4MKyVWvRCfa7V9fCrCwWVmmB0U6bmaJ3OP4/a4U+QwtRvAt4A\nfJqkme/dAYs7YKlLelj3CURzcN76M0XSSFNJwbUhIcPtlPtJutBx5XA2XbObkhTEO76z2DSl6bzJ\nsnVmRSu8t0LfoulVYEUOnB295oY7CkUX49CjoGshUc8ccz/EstURelmye/gaD6GL2OaQXTMGHD9M\n6ZRzmOwlQty421M/h6O+d5I1S004uA/BTYa1cF3Mt/DQo8yLJh+kWLBUMTdaB6FziiSNva7q14RE\nTSA4dI/CUYJU41NLGpMpAaWt785FRR/mbOiiSdYUnR9vPreRBMYKaVfyw6T1NjxF3i5cz+Fzqd/K\nyDTzYx1Viz0V1pQ5eA64Cd45mGTMEMkRvkrafbxNOq79RJab/3du3qzY2p2gxHRaUaldkdx+T1Z6\nJwAAIABJREFUF8ND+eZoHXfHpTsq3R/g6zDcx6FrJHjmyQOpPmDXymSYbf4vUr5Z27eSWwXeCnzy\nQXpga1GcAKPQcEZRvX6+hRalb0Cl5uNQGSTbufF+3jfv4yi9mjgudCL/37Mfjj1I9uBvhBpq4yBh\nOWz3qvlxJCiiEImmSr/2B2Fmf8p9WX/BsD2iuu2bDTnq1creDslP8eckJn0f5gtYg5lBe+v1Y+TN\ndt2HM0xe2q4wZ4eMSi6yHh7d17Q92fRjmpwhKdocJ9H2DPC2K0E46M3OreG8OYqHCCFPgm8H5+FH\naWfsv4SN4L6jkTE777s6uakgIpCQUHGfCJSOS/dJyBySEJuXcIhQ3lFEzWHoGXY1yBzRBORt3iJ8\nUru1lOlt5NBdDJNGx+QgGaFoo1lHJ4q9bycvCLqRpBn/IvQnCrfYVy81YRXP+TPW6tQEHWRh9/Mp\ngc7nfKMi/5QewedcRbQnc/VDJPPkrSSmhiRE7qexOB4jJ2MpQ1QKQehmlHVO37+jTBpcJoftPRq4\nn7wJ8vuuBOEw2y21swbbd1SKaKBjH0cDHjmQveWbv7ijUEJI/gMV3xRDxXlIk6y6Lsyg5F/17RjN\nXgcuIPoxQyRgrH6EobH4zYdD/UuVFomRa5q7JiQgOydrEQs3XRri3rsfjh4mr9aEkkFjxMSzMSMa\nwc45etHzXsqN5mNlPoexgyU9Xqp4UpxoMmbQuvmr4273T5KY9gDJl/Hp5vv3noKpHc3+C2dIPwZJ\nwv8q4CwMTcDbKJdi+36lUoBDJMQwQnKwvvVKEA7T3aypYzTAB1sD6k5BKCMPfg3hGJSbx7gZse7s\nDPU9hOq0JOEjolA2mgsa9UMEMQscPkJGCa5pNzIn/FzNhPDizCPNTqVuRA2es6/wWNTENQEQN7/V\nfbx9Oda2Af8RRq6B1b+iHoqtPUfs90bCS7/jGMXfcdzU3mngPfl/P0ATi2jCc2REt6JdV1Luq3Ca\nc5O3DRwiCYp9JDPhOPBRDOk2po+Eg5zxQhFyrg9Zm2MkYfTRKyGUKSaXVodex3NNKLiJME6ekNr8\nx63dxkObQ6RohUtz3xzWoyZuZyrZSWiiXx05hbiJlIev0rLvDr0wOOYzbGaaVMedcyqdym/dV9dQ\n6Uf06kdBIGeehEqHbA51yDtmz8PkNTAvWDxIb9KP+w1qJtilyhrlZEeEsJE5MkMihJ3peKcWHbES\nb+HoF0oh4ahBSmXZzkvhaCUwJD9FhyQUpNA+QYqArQKfGyC9C3O4rvg0lJ4VPEQOlmyybJ1wcH+B\na11/QA2aBtYH0/MhOnY8+g6mmm9FLVz7+xoJTZhMlCH7P0Re/irH4yK9Qs3Dp/rfBg4NwgfEtJfS\nYvGYEnbU+ajSYltnSUR+0c7H1ZvxG0qB5KjCtzNTO9rZCasnX4MvqVb2II0t7/6AmoPWQ6H+vP7M\ntUiPru2HPKJD0ssEeU/PTYJooV1HlrplrctRxnmIXuddwHTC+Tbwe83/laegtQN2D5emwzLlrmUR\nxbjJscmydenTYmrZ7x6HjZvAuFCQpByn3A9ykQyt1O4keSMWDZYGcJWkLCQ0JsmCSAIGknCRVPdQ\npqdgD1k7Oo/1+dOQHHPYCa8YE308nq0dmOO1/n9wg/9q81LOTBcUQgK+L0PL2omMGK+XcLEViiuP\nkJKhlC9Ru38ssZ7/Huzzu+ZviREMHdMzxijPJoSE+5v8lr42yE0JD8W7EMGu9fZ8ZSWYj63Zx2O3\ntdOieTcqmWc8F6gdvjdZtnYPSdlGymh0E8E1fYw6dEihczHxEImJp8jhHEVAJu2e0e5TToLsv3a4\nxxJJ6DgMFFpYoQx1Sqh4XoQmeAU4oDdW0Rx0zVkLv+l7kDJHwCmmJlwgpy13KB16kdn8f4e8MnDQ\njvs6gA5JUCmc6NvCyaHovgkJl+b+906R90mPAs/9Cr6qNfbZ12h4vShEhFLiWEKP8JwRvBywTyj9\nZJSDsKFwvkN2GIo+POs3miEdqxeneB1ZDJSoe9y+XSA4/bXs/2WUrX2pzRIZ9vgCLB/wNjkurIFe\npXexlCCW+yE0sPIP6NyKtelhH7cPHdVEU8ejJOqTmynykbRJAkth0dv2URL2pay6WkJQNE362cda\nqblm9b2NSH1U/ntehQSGNmzRPaIjUEzoO1W10q5a08DbrmmOa6lyFEbaNapmhsUcB88ijWq4lsDk\nAmIb6/kFm4lQbGQm+DF3rIsW/BOZHTsuBUSlTof0UmXIeTaQ6bFN3jogmi2u+C6jbJ3PwSGPa2V3\n7kFm4BaJuHSdBIsGXdDfhYObKWJYTZpgnqS5GN+jI5BRRhx0dz6qDqENnV9szt0MZeajO++iwwzK\nXYtq56GeJyGhMEHeQETF0USNuifIKw4dNTg6wL69Dd9SHdh3MI35SdJ4vFW3mSEtPvLn8mdQf93X\nMkhvVmY/8t1GKQTU/zU7ps+5XvmopuNxJTq17LdrY/eNuekZTQzRhStD6KUrFxote5ZpcuKl07Xq\nubktZXqZ/gYNwdYUrU2I8MrDLm676TNi1+oa+RB88lz7S3O7klHIxycSeoWWBj8O7hTlZrWeqOXH\nhSDawCcOp2tnDjbJUTXG7pew47+jqVE7LzOlRV2Lbsbmd1+Fvl37biftGflN4JVw80ROIlombzay\nl0TMq8DSBeCa5kBcHen31b0gCzPfOm4jx2Rsq+aMlADcXvchudYVHUGpNNzUjZDdw/BQ0lMc6pqc\ndtS7SpKnxweh04Qxd5OiFwuUUxTD8OIFKJaNbKZsnVkRpao7XiBDKk+jHgp13RHYsus9B0GCwCfG\nHZwSJrpOgyqBIPvOJ0998pCo/B/uh9A5CTp2AhMw/xlSeNM1OtRNBGdu5d7Hl81AXaicsXPO3Ni9\na469beG8H1f7zbZnB0bhwH4Yn8ir/tpkgbxMDqGNAwwnwl5HS1pXIGQwaB8Pacb9J2NdL7X8kRpK\navZjkJnq0TNHDSMkZeAmsBRSi9Leb1Wuh5LmaqVACPZf9DhvFe9/Cj56JiHRIXI+hDsxFb2QsHaH\n+SbL1u7nAJmJoRwcRQ/0kFAOvv9uWztKBOnYdWJSh1guTCBnTeqYhIIExKLV8zouYPw+PsljNJP7\nHZKWvZGUeHPWfkszqtSQQ9wkpFaigJCZoDZVJxZd41raTRPVeWNKxz1ONqeEEFzIum3tWnmEZizX\nSCuU5NeoCTx/JvkRtm1QLz5LzWej/5qgq6D12vTTlY47DkdoBBqZRkQPKhIwTo+ecet+sDG7Jha/\nt9PSOprwjWEgh6078NaJ/AwL5PGW4JoEPnYlJEFNU3r2oUQCi5SCI+YQROaVhFy145osCQofaMEv\nRSrcd+G5FTovMwFr0wlIgk3MIP+JHKkjwOr1JEb7LonpZmD/NXDYNRlkwo62dYf8art+qCGWmmkS\n11h4ItNFMkLRTkczsGcuL3dfJJtbQliaO327g1ePV4yXZ4u2KN9bqeL9jnhcaeISGi4U1yijId6W\n/BfN+oXJ1+bkIx9mlUmSA3C6+b1IEvQSiO5ngEynUl5RQEQ/mOiq6mPwPmkhllYq65m0YU8LPneK\n9a0RDwzm+8hUX+KyytauyhRcd8eg+xqG6GU4DbA7EiHvRTlFJtpoQ67aMUnVKUot4JO8TCl8fAK9\nD+qbhNICZSTG7dLVCyT0MAjshONT/N51/xsPcxMPDFxD0grn6a/1aqVfXTFM3EpNdd1BpwVbozB5\nfWIIOXj1HEfD80IWvHGNgUPo1fANpF2VRknrTqCOiPplNBKOawl5RET9zDQ3k27Kh4WE3LHXIu+m\nNEWmQSEnrP6Q1ZNJFc0EFzwuDIYq7dH0Z2mNrBDiOEVHbjOv75lKa3ukbHeTxv/TV8IekpDtdEnX\nceoOHk3Sil3jUhtK+B/t/0VKh6TqQ5ll1rFrF+2/mEGowp2UEkieQCUi0/M45F7fIWga2Mnu674B\nwBwnYM/1TadEwJeynTdinn4OR9XTMmBIBHcjHNgHB64voe0xcsLYGMkxNkMp2DUmInRHaQ6RXfDS\nMgeZXh8Xn6XmU1irfC5lZuj51cmLlPs/WhXNuejAEekyCTk5AoiMLDpyxNC2ut4VFRcMsaurNM81\nVXmmaD7Zwjan98nm92Uih60zK1zDyC5yJ48Tk2AX5DFaDe1EDSYNF6Mi3tZYuM6diW7GuBkhpnDv\ntSZS/fLJl4ZFxyZg6eeBUYZWzvJf+G9cYBsLXAPHHiFL/+2k3YW9MXGfFjVFpmjRiwggEc1B8lvA\ntwE74a27chRBz79EuWx5kizwfD7cKnGN6MLChYbuIcHJcMNAMySfi4qe300GL9FEqjlmVVwgen2N\n38502n0i+o+NiVCETNmF5vyYXSPlANlcdgUXUYFPqYcv2+H8CLCqvp+nzrLR/NxZ8lfL+nwZZWvN\nCnfiee6BL8qS1h4iwztNmBjbmVOZkR6DduflCqUA0n1qHmafrCiMPNoCGcnExS6EOushzu/Au69P\n2vNOgC6MDzTOywvkhVqxU945+Qnc6SEfgpyJilgcTJuQLJJ9Bi0SPBbCcY/2CCUhuzNNJpdo0YWq\n/4aya9Jm7mjeDRw/QX5RjC8c82dSiSFcL7WwbxQQ+n0VjF1fanj5iXwsHFWOkJDDCGkjl2kSshqj\nTN8XcnKBoEcRjXhkwYv7GlZpxofmBnJEqjEXevace6bK0PskmT4P/4jMina7zU033cSePXuYm5vj\ngx/8IABnz57l4MGDXHvttdxyyy2srOQRvuuuu9i1axezs7M88MAD/RuXpHWGXSI7FKWhNYiC+WK0\nZUrJPEXvPnke5nR/A/TmUrhAjjBQc+EhLdV3QdaDEppj0+G6FYDTicA+2fSbixb22wb8PCkscDUl\nEhC3Sgu2muOvAg7C2BvTtZMH4W3Xw+zB9Jkhva1OJoIgs8bAIwyu+SU43YzQOR9fCU0JD0J9IQdP\nFhuhIfxXUk6AD2LkHg9hxlIzvzp2rkOv0LAiGpF5KFPCldE4KXQ4Sdp74QDl+KgNyOMRTeWa/yE+\nruoe99WrDs9i0TlzRLoPpV8IdYNySeRw4cIFhoeH6XQ67Nu3j49+9KPcd999jI+P87u/+7t85CMf\n4V//9V85dOgQJ06c4B3veAff+MY3OH36NAcOHODRRx/lRS8qZdDAwABMdXOHxaiuwePgRegqO0ra\nOGo2DY6HLscpX/ShtuKEYOd076HK/w6l40n9kvZweCrkE21yMc3KBRLXfo8kSaTxR0k7BO0ir3zU\noqZXNg90GqYOJmJdJTkO3RaWxpPQrcFdPY9HjHweNDfj9i3zQwLSUYXGTwhNqE+hT43DUPO4R480\nF/k6DmcCOU1jiZEdRWKiL6Jl5weBq6F1TX9gpvGQwNdztEmC9rfJ28F/gRzF8ciD0KOETDQpXPm5\nCevCtg35XRraHyM6oB2eTcA7h3Ny1BSZPlf50SEHgOHhFBJ65plnePbZZ/npn/5p7rvvPu644w4A\n7rjjDu69914APv/5z/P2t7+dwcFBpqenmZmZ4eGHH643LAimwRfcdUjmDr4WpQZ2W83TQ1fIYSYR\nnghxgVKgYP/1G7IPxDUglAykfipkOkO5rNvrukniAlG2+8oi8JeklGItZvItwvR69p3kFYQteNso\nvGcODhxM7dxP2hFZkRsPt2nsnEAltBzluCmnXBMhiXFK7dqy6/XtmlLtSlhIWI+F80chh09F8Nsp\n0YG2b/cixh+2uprEjZK8Wml/iZpgcCbV82oM3cl3krR9/XGygNc4aRw1ft6uK7lothF+9/SvRS8C\n8oYaB+s8veF2IaDLKDV8UpTnnnuO17zmNfzTP/0Tv/mbv8l1113HmTNnmJhIkzkxMcGZM0nLPfHE\nE9x8883r105NTXH69Olqu0xTrleQTTpknw55VaUIS4wLJRM6A+o6j2xEyLdEToGumQMqHpaThuw0\n1+q4+iUmGbG60iR6Nt2jBSkJaBv5Raw68T3SROulJmKcNXjra7P5cYwsfKaaY1NkYp5qLvMEMew8\n1m8ohaQLEB2XMJPPQIk+U2RkoPOQx1ZMFiH3ZNPOLLCyC5ZOkzeI0VumnVt8y3bo9SPEFahexFCd\n1E4/mO2XybvvqKHdHP8jsnNS8+2CVkoj0vgYpcDphPZ1bZGXINTgkMOLxqgRlPMk/tJ4z1cu2US5\nJHJ40YtexLFjx1hcXOQrX/kKf/u3f1ucHxgYaDaMrZe+5/ZTQu9x8gpGdwyt2kd2sgZ7llJY+IAr\n8UjMKy2q+oLHUKcjlbFwjbSCOx8d5Sg0GxmlY/8lVLiRnHQks+EMKaX4lc0xQeKLvGhpNu/Orfbd\nFzPd3MujM/IpOEwWCogRGUcTGgPZrE7EQ6GO+2yElqAUrGrbi5stk5BXavpW/vrW742SvfpBgYjl\nt/c3J2olKp8Fsu9mmcZv0vwXHTgzupkRkYH+d8L5dTeeHLAtyufWQjJ/rom0Rb78RzIx5dMb57LK\npuXJT/3UT/Erv/IrPPLII0xMTLC0tMTk5CRPPvkkV199NQA7d+7k8ccfX79mcXGRnTt31hv82J3p\n+zzwkv3Q3p97FKW6w1g99Cz5of28D7bnT7i2jBLbiTQylgSTBJIEzpId93YmKXeicmaR7bmefKWX\nmJwmTbxvr6ZNX5uXp37iVp7bR0ZcGiuZWT4+Gg/1RXXF+P7M0nrSahHqeugXMlJxpvdn9bH1/xL4\nHl5zv9A8MPZa0isEVWJ+A2y8HsUlVCRtIYvGqbtZiO3P5yVGsRYpkWSHEk117HykvVin6L7eUREl\nShwH4A0TZeSpDQwfhh8chuU1WNxMQl0uGzokl5eXabVajI2NcfHiRV7/+tfz+7//+/z1X/81O3bs\n4P3vfz+HDh1iZWWlcEg+/PDD6w7J+fn5HvSQ/v8zvOeaZCPL/+AaRza5w1vIA+yTI3sQSo+4E2gc\n9Bi7l/9D9nokfjG8hILb6wqdDpG0h+7vNl/HrpeDcS9wVJuuTlsHPc+hCUmOXJ/hu0cRXNM7sbVI\nfpAlMkO7Geb98uvk6MWef4y8tbnMq+iJl5DxPtVMLrUtxCOTS/eYBJaUjxGSlHqKrwVR6eGuprjD\ncgZaO3qZPgoCRz4qHatb8yupuDB0c2GS7PtygeDFI0erT1EuoPPOQrEp8PSuhMiPAcfWYHowZwwf\nF+L6Ea2tePLJJ7njjjt47rnneO6553jXu97F6173Om644QZuv/12PvWpTzE9Pc1nP/tZAObm5rj9\n9tuZm5uj1Wrx8Y9/fAOTo5M1mxx8M2Sm1XFPnlGyEtQZVFJZT6Z2fdLlaPKIgq6XE04MKGb2uPQ4\nGYmI2ZwIZI9r0qft2uMXWH9r0X8lhcFumyH5GNTpDmlGH2J9Y5ip6/O9vW0xJ/YcrpU8iuIJO4ra\n+OxHpOPox59PbWsOpugN92lu2lbP8yb03xGZyhDkkO0apa0duVkO21qGpBOCCwZ6BYNrbvVb4+Um\npASZP6fTlptoNZTaoZw/XTcS6osHZoGT2lAnFj235XYskPc2fcNgCl0vdOGdAzA7mNr+QqWpPmUL\nX2rzKMnWHs0mgtvAbqs7HJPG0nE5xSA74STF5ynt5MgAstOlDR1pqP4MmSAWrU6MdjhTOKMeBzgH\n06MpoWWKhJbGSfbgJLB4gSQg9EblV8HNw0kDCAHofgv0oimZM7Ir9SzuH1DRWAlJOJKSE82db9FW\ndqHhaG7F7t2x3+5vmLKxroWaF5pnPXqE0swSg19qRapKTeddRRIO34fW/nTItXZkcP1u228hQj1j\ny+q7gHH6gsz8I6FOP1qCZmMg4Mgi5UY17oQF3jqXolSivXc3/TxOmf4tOrrnSnhvBY+mP7ftyltw\nyzZ1KR1NLWl4EbZrcdfuYm5FCaJPwonftbzD5QXyi0ew+m1r1/sgAbJEyjkQ8nGITfPfBc086c1H\nR0nS3sdikcz0ElrS7GPWXi3qIieqtLXuLzS0ZPUlnCUgvKhtHzMn9hEy2nJt6szlfdWcan7HmzGQ\nWcZ3yNmSsLGzsWYbqDgjaXu+V8LYYBki9356/7DfoosYZRgJ17m56grNuyZU50K7TVKSC8Bqt3n2\nYRIB2JL12+bStUfOpVD2PV24eSCHTefJTmQVV4SfuCKEwz8Ag7C7EQ7TJAKVBtRkQPmgCos5k+t7\nmuzw61hdMbGYQ45BZwRNskwXdzYqZEVoa6Q5vrIG+wbz5Oq8NPoxOxY1igjMTaB5MiFKULkjUGPS\nsjYc7rsdLxNKUR49owtfd0rqvwSFR3hcqDra0scFlpsO/oyzzffXyXMnplL/poBjD5HfrCXnrIpQ\nRM2v4I7LhqHc2z97U44qqPictMIxFyDO9DKJJ0l0t0ivOVxz2Pp4TTXXieZprl89B7tHs7JqAfc0\nS7XHd2Tz9wjACXjDXMq2PWltC63IzJgmPfe9V8J+DutOFBLBHKeE/1ELqqcKFY5TpjMvkeGeO5I8\nd2KMcvCc2F2ry4Z2W1lJLivAsS5MDiS/wWFg72D6nqdcMTpO1tJjdg9BPRGS/ruDS/fzMYDMcG6n\nimAlDN33ofP6r+d3ZiS0J6RQY4xI6BJIbopFex47JiHlCMSfYV2Ia4Pa2hJlD+Gpcc8c1LEgGNhW\nh/3R9nd/gpSDKyRdu4cy21PzO0mai5M2HqJXKNdftIGT52BoNDmo28DRUTj+FBzfka+Z3pHbdkHP\nYOkId3MOspm9QMlTmyhbiBy+zfobhN+zI9nhDsOhtH+dmIfIy6Q1kRqQCNXa1o5yFtwWcyem29gd\n4PgjzYlXwtRwerHIAkli+70XKBlbaMSjAK5loUQBzrROvO409WdyhnOnpGs/MZmex3NHnDmFHhwp\nQNlPCQppy2hbxyLhBMnOlUZzwaZ7uU2suReSXDhCznvoUF+U5SUmRSmasY31zNPJa8oxFcKrFVck\nMXIm7S3zcNGeXcJYyM/R7DQJSXYgbTYzmkzQL9Ds29AoTUXvJskRJzflABaaVxi+aSrPj5vU6o/6\ntgJ86YowKxqfgzzIY1N5EiYpidHhsmhCdRzeakIcZsted/hKU3eRUsuKoJ2Yb7ZzaneJUuv6PSH7\nB6JN7j4KMaU7+PrZvw5FJUi86FmjllZxn4ja0zhEG1pFz+t2s2tYd6ip+HMMhf96Hu+H+4vU3pK1\ntbBItud8G3qV2nJ1FyB+bhuMv7Yc737Fx1FC00OVeg5HukKAu8lCQ6hx/gzsmciCcorkRFQ7M/Tm\n5CxRKgz9vpnsh1oAOl3YO5DmZJJs8riilWI4Dtx/RZgVa+X3m0hOOT2YCFMM75Pg3t3VcFyT5IS7\nau1pElTHQ6OLzSKe/cO5bTkFl6yuIwPXzpoMj5641oFeBnehJgEmjSMBuWh1JBTVtyV6hYIzn4cZ\n3cseTQasDYfPHhGBDLHdhPBnWaEUDBFZuEZbIAshCXE95zxp6fGx05VOqqHBcC6aG5T/Z8j+nzb9\niyOioVA3jpXQm6Pc+yFN2gTsHoTdE3BvF46dh5HRnHLugkFj53TgjyIa03yPkFaHrgwkgXGSLFhX\nKTNjV/ihzIotFA4qjXT/EtkB4wSmB3RNvEweUA1CRAXuONMEimFUd4kE5d43mAb404PQGiwZ76Rd\n77Z+jV4d3jvzyU50WI21674BXS9h42FJ2bU100T3c9NIglMCx4WkSoznO1PEZ9E99azejgsIjW/0\nhdSEuO6h6zTH+2kWZL2KHJPulzot1CAzQkV1dwLnSnRFs8V7rSn3m+h51Tf3Nej4Ig3K2Qn7Gy1+\ntNn49XDjE5gegJXR1P40Zaq1xkFjAaUC9DLV1F8kO7sPkOj3mLW10HzPk/1XS1xW2WKzQpM9SsoS\nvKZ8fV2E1TrnHnBNtvsSXIM6BF4mDdqHSIN7jFIzLNGb0SemdG3qkFj31311bzH+pB1X244URARj\npInUMWdCF0TSMG5quJDQWEjARWenCxEXAOqzH3NTSvfuhPNeHJ2orRZZADnKmqR8w3lEXrMkDTwF\nzB+xGwtxOtdECQmlSdE4Nz86lxZMLVb6HZnQTQZIaxZEP8vA6iK0ppKgGAKOrJHyMnbkLN3d5L0m\n9UxCLj7WNeSmfnnf5FMQH4yRlNfXAZpkpz8/B28aLZGyBDRcKT6Hf7AjjdQfm0sPM02GXj5AkbDF\nBJEYVWeVxHAfaG6zQJlmLWGyRN0uH6EUCJExdNxtZvVNTKDibdUcf1Duxh1pP6IS6HXgqq6jE6y+\nns2104rVi2aW9zm2Gx2jEnqroZ4QgtCDxkKmkws2d5LqOZchpZtLKGi1Zr8SJWmKUtzY/VdGOM/f\nfPBNKbK0m/S9QK9fpwO8jeR4nle7T7EucN4w2pgODfqQ8Jui1NBuTsbQbhS4op1Ix65sxODjZARx\nlBKZqZ221V0mCbER4MgVKRya8r5daZ28M7wITd8afIeoGuwjJCl/c1NvoTkue/0wWZt5xCHCSQ/l\neczanWpy9LjjxzW1T5ATYE07S7s4yoCSAV3juECr9duJSh9HWp7PIYHhffHxFTM7YbdDmxpfjypp\njHSdj80UZQalP6sz1zqzPdRUUDq1DwjUN0DRGhV4Z/ervIJ/5HF+hp/g3/jYz/1u6fjb1/Trfj2D\ntoC/ivTy2jXgLIxM5GeQP2iWpMFnyOhPRWOs4nIrCsX42xWHz73oZwoToHatz5V4Yz28eUXsPu0j\nqFj2aAm5HfpCznEYIsd0Vf8ISRt8qDl/knIbtHlycpG0vgbcw4FCA9KojljcKeqMLgZZrlwj4nD4\n7MyHtSHh51Bc7TmyUURHTBj9IDW474I0og8VjXkrHOvYNWpLuRtqf9yuUxhOhOvCJ0Jph8kSilHo\n3wzlDtW+wlIdiFvHyVmZ8gOe5cWc981iOiRteoD87sl7SasX22spr+C2HcBZ6Cw27U1krT1rz3uS\n7ESFch6dQTUuzuAdu6ZGUy6I43+Nq/giCpMpsuNT97+M0rp0lX/P4k8McA4+0UhmMYcWDgPXAAAg\nAElEQVQSnlRtkURw7yG/bVjQVR7wBUoJ7RDZQ6WQB86lu2vXaNY4NHRtvUC5aEv9EjPKBzBONh9U\nVq2dGNr0b2dk19yC7RGW+vA642HjUYO3LmBEqGq/Hdpx1KNniP4U13qK1GhOJDz07EJZ0uhyvk3v\ngoVTZD+V3shVewDsXPPaPuAZfoKf4N/STt97gE+TXu67ChxfhP86BR8bTM5QKZOZHdl8GycLgEW7\nrfvGBP2x8fJxrZmpPq9+rYo7sKMZBhm5qKi/TleuEDZZttisiFzQaITZqex7kE9gmuTc+SPSQ+9u\nLjlJ3mxDk7BIqbWgZAohEo8EuHZ0cwLKvAUXIlBqTxG0/uteuq+0vdoXipmnZOhl6++KtadJd8Em\n4eMJUxJSTrTRt6B7uPNTbYrIHVWN2XkXYD52boI4I6jUkFDNBl+1NmQ+7SG9I3I9lVov/vEdpyP1\nXwXMwIHhtOfjx5rnPgB8yN6MJY2+j8a5R85R8D5FoetIy81Of14fJ6epqHQIx1dDHR8/jfFU8zxT\nlE5WH8soSJauOLNCpbEb95Em5ygppRT4P7/72wn2QbLt9NALZOaQudGmfI2dwzhHIZAnttY9Qeea\nDQilvR4ls0+6kMpKqOdhLPVDTOlChMpvqBOvHK06JsgppODOKhWZZ63wqaEbQl0nfo07dp/oeHUE\nIfPEBWk09SSQ7wdmd5BoxNdaePSiRV7uDQkxNMvh7yGZJ7PAhxrn4tBwzquZJvmjhFQ0VjHUGFGj\nns2fLyIGjUcUDO6fcUEafWDR9HD0obYdHUJplrkpfRllC4VDfFkJrNuNnzzFvu6D8AG487+/n0fO\nzzHHCYb2n80Ldz7ZfCA7t6QtJSTcbtegCU14XXcQishHKte2Q/2RPscdjeg89t8FVIe816M0vEcM\nWpXrXQjIBBBDLVKiDV3nbbhdKyTgms81oROwfruzS212Kv99PKNwqznVhGLalOgBzNl7kbz5LvSu\ntTibzo/th0M3wZ7XwpfWkglxJ0nI7NlRblSzQgoxutD0MfCxdDQYkdGlykaKCMolAA6qoyCW0NxD\nEmojZBNb93Ch4sL2MsrWvg5vvehJ1kghow5HfvognIQ7f+YjfJC7uJoz/MxPPZ6QwnGys2WJNBiL\nJOI5bM22SIMnyQklLHfNKm0bIboTp9oTUei8zokRoNQU0YZ3m93NGCGBfZQQ1ofJ7+HHPZlJ948+\nCGfomvbzaIYzhhioU6knQewoTcfF0O4/0jlFNlzDte28Czj3dUy+lmQutNL3npvgA/tgZh8p2ekN\nQJMm/XvNNTODWRiukkxRD4H7uDjj+5z5WLnD0QXfFOXS9CgMasImosGas1J9j2UPmfbk63ABr/8R\ngWyyXKYs+VGWmOnmxhxpcj+X/m7jAr9w+qvw50MJGh4mO4YmyW8h0mSIYN2e9knXbRyiOTRzLaey\nQib2OKHRm0z4dm+x7qe2BAXdnyD7UcSsOHaE6CIYZ0CZJk6IEnheRPAxH0KM6VpK4UjVd+KtIZto\nGzuRO6oYaZ7V/RbeF82HP887gc416fOxblohe2ygedZrsr9FAn7B+qL58XH0PtcYSuccJXpOhwtf\nCb1IDy5EnNag7I/Gwf1DkOfeQ+KrJDQ0RMrJOEzvFgU+zjXEcomyhcIhvmzEZ2IQWIR9U/Db8Pn/\n/e35pSxCCBoEDaSIVudkS4r5fHIcOchXETVmJFR9O9G4LS8imKR3laVrVUcWOu5SP0r6mi3pWtsJ\nTUS7EuqISGbI6zR0LDIulMvLo+D0cXGzbLVSzxGS+qe+1SJBPl8aI7/XDAk1TgKfbhKQpLGhTHJb\nDddi98Du633rADwInYOlSRqFIZQLAr2dRUqF4J9IKw71o/Ii/Hclos8KyTGvuYXetSOavzgXmyhb\nKByg9/VlGrnGk9wCDpFDSNNkBpAUXSRnpo2RBuvr5LCYBACUC6KgdF66Q2zMjjsc9/wCRw0STD6x\n0XxwYhXhuc0fGW+MMn9fDOv3als7ri30f4Xsj5FjTVrHNZATqZ7dkYyPjcZtycbGx6RDDiWLGdRv\njYFHiaTlnQFkvnm/O6dg6Xx6xd8CMDaQ21qwcXPGqjnt3NSLSAJY399faGvVfrtScWbWeCmc3g+Z\nuFk2ZfefpzfD0QWRz7cz+ghJaWo+RIui505o6zLzHLbQ5+AhKOjFpINw+LHS8QZpUBbIxCfbVecm\nSVJUGty1GKEulIThxCyG7GeDO/E7Q0ZUEiMaul5mheLRYhgnNqy+owjXtk6Ibm+2Ke/rtv1IaMvP\nO+NCua/AEOXuRGp7hcwY0pzqt4ozlKMmCWHV0ZjOkxYzLT8EnYdYX4r9OeDwWvYTbVR8Lmomg+ar\nQGe7ynqObtSW+5uGwvVxrmLRWLbIbzT3a3zsfX78ebz/kN9wVSv9kNImyhabFdBrWniXRnOCkaTj\nOAkdLNC7Q4/Qwwh5ZyhvzqHeOL3wX8QZ/Q9+raMBMZXDZUlvJxS342W7HqM0NZxAsHadANWG+xjc\nlnYHqTS7/qtN9VvP5RBY46ZnmCT7WtS3ZXLoc4ksFF0Yua/Hi4/fariXnnMJWNVbt2V6asu3i02/\n+63OtOLM4/9dyTjTOR1EFAglanM7vl2p3wp1fH4myWPn9Ae9QkD3dYTjAmPZ6ooXnC4cMVymYNBj\nbFHZaHJ17in4wkQaUEFXdwxO0aut9VsedA2uEzjkAXRTI5oCDoUdpum/rhHTztg91Z8oOFy7t6wd\noZRJ8huVJBDcoegCxttzIvGoAOTVgO6vUJGgdCS2WKknwvRwm/oXQ641Aep+CdnIQiULwLx23YLi\n5TNA8QascWB5mL6l1m8di/kDXteZ2xWCCxEVodU49k5b4/bb2xMNT5IFkSNbKIWr08hIqOc04qH3\n6Ntws/gyyhYjh/jyUyh3/NkG7cfgwK68O1ObnPi0SB6I3WRfhHwNPlny+ke7UIMoYo4eddWJg++E\npuuXKYmvY8eiGaNJW6ZEGtAb43diidBcwsiF1xiJ+I43dY9bvxQh8L6PkaJAyhVxJo62dMfuKYHl\nzkjVlybbS/YJrAIrp4CLcFQN+Tsn9O1v2tZgNWUZNo0c3HRxDb1ZiO0C3X9LGTiNQElDrvGxa+VD\n8XlcsvMRsQyR94FctGscDUjguND2+4o2auHQDcoW5zkohdWLmxnN5h2fPJMJTvapQ8YpsgacJOdA\njFNOGJQQ2gdSMF4DGJ180Sb0Nty2lyadpJxwwX/IxCEik88BSsJz5xmUROpwNjoMa/ar+rxK9u57\nkSNSROaE50Vt+HEfH6EkwefF5txxYPk75JfhahGUbbte7AHZoaSNxqyYgQ3fX1FDBYT/td8+VrE9\nRz9OEz7enXCNoyoo10fQnFukvtGL+jNGGT5387AdrlsNx6PSu7LMCsjEEJfbQoaVzfsLbp5I0BhK\nc8DhuSZyiiyNHQpDGS6LjjmHbLKtBf008Pq4pu9YO6q7ZNcoBCsCEfR3aEm4Xs+m4+q7vNHO/I5s\n3OEq2O4IQGPn4yGzYy85wczv4b/dVBOKk7NykkzsJzHfQYtsKmjBlB6qtiaiJixI/zfrcXfIDiWS\nxJ7FEUCtG15XzywBHtHXarjWEYo0+DhZYE5S+oa8aG6nrH8uvIQOIe+MpnmDXjpapi78NihbKBwG\nwzf0jtLFXOfT3bQFlxwxM2T/AyQinSaHPOWY1KQvkyfCYZmHOTWh7ngSUYi59VtEFSfMCUrwUoJE\n/RURudbA6rsX3Z1MPkwRNegj9KPIgtoTJI0EP23P5LDZTQh9lkgCxKNH7Quw8D3gIizIcail1Epr\nHmRd8/eUmpqHcrs30cVaw+Sjee4iQ/olUSHEottGM1FteVQmKomIFPy/o7qW/XffgsbZfTfuYHeU\nqeK+nEnywkT1bYleARB9HpdRttiscGgZ36Ictxg/XWYnRsmonIUOeV3FCGkApaGn7daCxvKaq00x\n2bKdc8iu4uaFBIwPfoTeDkt1vROPGHqsco3bq1BOttBC29py88aJXILE+zhGXu5bYzQ3Nd5EHrMF\n4OQp4Jvk9zZq7vz1bSoRBvkxv1bHtT+DD/xgycD9TId4q/itOiPhf2SsaF5J0It5x+zaWD/KvGiC\nONKNDl3NqZuf0acAeeNjN7n7mUbe/ibLFpsV2kbc8Z2Pqr8A9VxOE+2Q32HZIWmzk6z7GoYmz9Je\n2Q4rg6WX3ImhTXZcxvClT5bb0a6Z1QZkBhSzxXsR6usah+i6b3RqeSKOIwm15eaV90Pechd+EnQu\npJbISEB+Anm/BV1PNv+/sAZ81R5CTCzhXnsrtuZSqEEvn9F/KYgOvVvLxyS5i6XwdLQXmatWnNR8\n7PuViCSisHdlVRNEzsiOQDxCtUSvQHGTaImSPiXAF+mlOX9G3csR4JVjVohI4qo6CYTKm44UidDg\nibnbJCJuwoHtle0MjZ2nvdxsLCr4LGFyKQ3jgkHHBWPdKSrfgXvq3SyQkJBwcWHkpgFkaBvbqjkE\np8naXhrMIyWKo0s7iolklwp+euRCxDjb1DkKHO3C8YcpGXk72akY8XQ0C2Oim5hfKCGaGj4RkcNN\nULRCFf/dD1m4I3GIXsaP7ekaCRAPXUtAaf5je2rD/T2Q80Mk0N2JGOe5Hc45Mox9XyKnTzs9eR/6\nWW8blC0UDtIQ+lbv1+x3cEj9xiJ8YCrv0nMAe3sQeaDag7RHroLJLiwOlHa0JhzKdGLIAkeaU3ag\nJkVQz1FBjD07gUhDxyQkKLWc2nDhEnMjvP3oIPSPYKgEkYhXfXW7d9KOj5G22rv/O/S+3VrlvP2O\n4cSaYzmaFp1QT3Xkq/BrHEW4yRGKO3NrMsX9CUOV69wnFDWrjse8Es2R5sHzDOJcuECSqbubZoNa\neoVaFPRRkbk/QuihQ1IWcgxHAaLrriyzop/9qeLIYjT9FkEvAbNdON7k2MvMUDPLwOpAusUUWXs6\nA0qiyuHn9uAs2YRRHewaIQMnhDH7LyETvcw+6UIW3k5kZMJ/h/2yMT1yonaW7b8cktOU+1x8HeAU\n8C9N5eb1hOu5JlGzQymw++3JAdkP4RReEzgeylSdWmkGzp/VmbafH0L1BL19LlypRDPQ67m5585l\nNwMc1teQKFYvOj+dcVcoBYEPX/RJeBsSPhENexuXmQT1PNnPwUsMbYloGjj6vm4i6nHg5EDeLs4d\nie7RnSXDQklZwUCH3e7cg4RMJsmM7hrAtRVkxCHmde3ejxj92mgLqy3dS/1yU8WhbMeOOUTVtTIn\nVprn+jpw9BESVDgNXE1GcaepCwR9+iUg+XnoQX10yJu0rFEiCE96itTtv9fq8DgiK59nr+MOxKhZ\nV0Ndjb1MQGfMmkkjWtIxF+w6t0xOTotMr/mM9NLP9IlIwmk0CiN9bzYMHG6xxSUSUtQ0gp1nYGQ0\nvYeiRRrkfeR1F1OUg7FEqTFco7vk1Tn5AwTFRRjqjiZf56XxvZ7b75C1jggs2r6uKdzsGSd7oV14\nOfOrzzIlICeErTTXL/g6BTFnkzsCzfHv29h7lmLLjkFdq9dMiGheRHNCUYiL1H1MMXJl9zppf/X8\nLmg1Ri50W3ZO10WfQEReHcpM237IxOfOmdNNjBoKqTm19QzuiMa+oxIZsesc+eh+on1HupdRtlg4\niGDdzwClk7J5I9bkDljqwrtJzrLdrAuFF+19muemXgwrQ3kPwCGycBDMlg3uzqVl+6/BbIc6IkIV\nwXLXFC4wfCLkQIVek8KJR4JLEQUPW4p43SyS0Fgm7ZYsM2KExhz6DmWE4CpSNMHT0yN+Vak5CWPx\n+Yp+Ih3ztiPquBjq1lBHhAkXy66uWpXoz3Fm0/hJMUSIHfMcVNcFR/Q7+BC4gqkhG13XJufI6PoI\nkGJY0x3aameI8o3nU9YHpxW16Ylzl1G2UDhEyAmZKEScMzBrm4C2BxIsfjdp/8gD6dKXTTzB4umf\ngaEujA/kAVkkMdE0CWXE0KMztB/XwAsRjFTqx8mCLJAE8aJm8/rRk71qxyetnaXmvCZXEZfppl9T\npPeMtj0bMeYcnCPnHjhFd6yOiguOwcrxWJyEXAB0Qh0zDXqEQs1c8YiGkGOrl/DdXOh3SyijXPGR\nXKC7gI+MuxHzRzry65xefJ69fj85HWlu3M7pulnyzmjeT9HKJCXK2GTZlM/h2Wef5YYbbuDNb34z\nAGfPnuXgwYNce+213HLLLaysZDF81113sWvXLmZnZ3nggQc2aDW+hGQNuApm5+BN18PM9XDzcGY0\nQetV0jbjs6RBm4IxVvip8RVoDzA0dTZL6UnyDlIjpHwIjxy4HRfhYbRLI1M7gdRCU51wvUt17PoI\n+dwxtUSOkCySnK4z9jyQUEL7EbJgaMK3nCUJBah7+93ud27zzsXX3vuLZGKR6aC2g8bva3aoDzFT\nNv5uhJU7fXXbVjjm52R2uYPWaSk6Mx2VRATnsNyHzBm9Zna4oBkib2Tj6CUKNn3XBJKHNT0sTuU6\nPbs/yybLpoTDH//xHzM3N9e8bwIOHTrEwYMHefTRR3nd617HoUOHADhx4gSf+cxnOHHiBPfffz/v\nfe97ee655/q02pgUe+bgrdfD214L+3ZkW9szHiOU65B8afcCQ3DizBy/8D/9HW+87i9pL12V6k6v\nredFvGjm6WyLu7RW3kKLcuNYH2yZDEIQUIaMhux6CQD5NFbsmJsPmrgxSiElR5VDT8XGO4/B/Q/B\nkYdg/gTc+xgcfgR4hJJ6vk/9VfRidEdmLqCjuqsZ2e6r8GP9NuyBEh3E0k8odCgjJtaXKACiJvWi\nOZOy0Ni6De/noBctQq//IrZfu7eOeTui5aOUmZb+TFEAqQ1XIk7D05SJVDXBInpcrPRxg3JJ4bC4\nuMgXv/hF3vOe96y/DOO+++7jjjvuAOCOO+7g3nvvBeDzn/88b3/72xkcHGR6epqZmRkefvjhesNv\nei28aVeG/wuUS4UFoaItp6y9DskZOdZm+9h5xljhxTzL7ld8A3a3YX5w/e1Xzx37yXTtcbKfwTML\noVwN6ZolTnq0M8XkPjlONHoez6WQf0M+gyE77wlWHeBwF459h+w3EMQ+RxkqjIzrMF4M3C83oZ/q\nVTs1yneVGCnTEYYjipqZ4mjD+xlL89xCTe4c9rnqZ1oIgUEvg0U5WnPuDVEOjzs/Yxgzmgg1p6Bo\npGPtQS9zxzZdqUFpenqd2KfLdEZ6c33Lb/3Wb/EHf/AHnDt3bv3YmTNnmJhIr62bmJjgzJkzADzx\nxBPcfPPN6/WmpqY4ffp0veFFer33TmM1CAel8PgccHSIbf/XBVYYY5gLnDgzl+pNkhKkxknCYnEo\nZxZGVCIbX32oOZdkwyme7OaG+jpFmZgSIxp+zSJ5YxX5GYZIYcYF9x+MkrIS/UUu0Lu82Uu/KEDt\nf/QZeHvRP6A6lzJe41oZF0wRQWiQox8ittdJbZ1cg7HBnCwUmU5C1wVDZA5FAuJcj1hdn3dd42Hy\n2hC4z6JFGanqhGNSQrUShUtUPJBRaQR83m+hVpkVLS49dZVuVMsXvvAFrr76am644QYOHz5crTMw\nMLBubvQ7Xy1P3pl/b9sPY/t7IVs7/JcJ4GnFe2D16e089ZM7eDEdXjbxBE+ceRnPjayl9xWcBMaG\n0mBOk9+8Leehwz43MyQMWnbvRUohsRqOixDkYdbkyxs+29xb6c1HG5PgpISAljQrjDhI9htIA/dz\nEroDEnKWowaPyu/Yhv5HZoVe5o3c47/9Hi7QlDrtbXq7o5Vr3GHZIAvNq+bJMz6jb8htfRfY/i16\nWqT0/MfkMjdR1Kafw/5DiQywa2R6ev2oDPs5OHVMfVP4XfdvUSbfLR6GfzsMz7E5uV55jGr52te+\nxn333ccXv/hF2u02586d413vehcTExMsLS0xOTnJk08+ydVXXw3Azp07efzxx9evX1xcZOfOnfXG\nX3Jn2YMaJHP6cybWYLSAI7B65CX84ydfwcte/EQyLyae5QLD/GDpPyQH3jEyrJwiMagk70xzfJpy\nnYTu7fBxzH67g1Fxa/lKlsiCZcbaFFqav0BazaiogrISzzQ3re1zISQRw4YeCpZpUVMR2+hNf1YR\ns7uqdb9EDbHUNHwUGLEf6r+3qWvWyIKw5p/oNMeH03tr9gF/TpmpCNlJt9vOLTTnbyZ59QXjJcDX\nGXMtLdZbDW1Ky9dkrJuZfnyIXsFQg/hxqER7kQ7b4bynbjtNugmzCrT2p4/uefH/YLNlQ5/Dhz/8\nYR5//HFOnTrFPffcwy//8i/zZ3/2Z9x6663cfffdANx9993cdtttANx6663cc889PPPMM5w6dYrH\nHnuMG2+8sd64M7vDuknym4PcpI2Cok2e2L1wdvFqvsUNDHOB889uZ5zlXsntzk7PX3DzYtzuqetd\nKLVIhKl2lZewTPnSX30g+TqOPZQ+8w+RshB3kpnsNHlFoxKQnKlqC9OgVzBEM8ON1lrWo7cf79cv\nuanmP1CRcKr1w//H+/or7oSQ4kfP0oUPkV6K64uebiaH7MT4I/a/Q3b4QqIv0cF6Fx+re/Q9qhFt\n9xid8mtU2qG+Z7hC7/B4/RhNgV5zxAWSIw4vP4Tf4bLSp2UifOADH+DBBx/k2muv5W/+5m/4wAc+\nAMDc3By33347c3NzvPGNb+TjH//4hiZHYVNFj7APgCZQNqbDvYVUf2jsPP/8L9fyKr7LhdVtvJhn\nU1hTsEvE4EklMU15kTKEpXOuHVZJeQWafMG5GfLGKSdJr3Q/dgSOPgR8h5SirNe4nSVFFWQK+Gaq\nEYbX7O8WpQmibw2ql074jm35735OSz+vcqFyHfT3K8TfXm8bWahEQ3vQvi8CA3m+xGRjJETQIZlu\nCn9Pkmjmbc25cbtG0aSCQecyXbhcjeYL9IYuXYkUmpvSce0hR+hVPB37rfajENEz63d0eDqqVZsu\njDZZBrqbfR/3j7AMDAzAvm6G4ip6KCjj/i40IA+eJlc5D++GV173TbZxgfNsZ4Wf5gdf/g/5JalC\nG8v20X2FIiAx+rz1Z4k82Iqu7G/qLpGQzifPAY+RCHiUxLCeEyBid23vjNgiC4NaopBr936ZhG5u\nRKSgdi7Qy7zRdIjn2MT5WGpmh5e4ZL/WFx+bQeAqGNmVaaGWmu7ORPkCZOqNkJekHyHN4dfJTCyT\nw30AriCwdiPMV4ma29OgPZV/qVJXbft10e/m51dIKHae3uXgHt70Z2kPsFmWv0xZ8iMsHnqSdPWY\nfzQlohTXxAvaj8Pg5Dm+9+3X8D+/+m949OmX5fu4F3qaclGUp0nT/JYwmSI7vmas37OkyfkY0DlM\nJl4onYgqEbK7YBAj+FoG2dc63rF628I1Xlzr1vwOfs9hsqAQChgM3xEtrPWpo/9r1IVbPO/PG4VO\n7X6Due7qubS+Jj4u9NKHFIgcyG2SUICEKg7b9TMkoe+oYYTEeLNNGwuUSUcLlEl6MmdkEkvoqMgM\njsggAivRdEQZfh6S70V9gjJ64yUij02WrRMOcVAkiaMfIvbQIZ7bYm9tfo90uZZ/5PxPbuf4P+1d\nz6Jcl9aKCXuIyf0X2Pk26U3GIyTiuR842lDX/a7V1JGLJF+C/Ac15sTqRqERvfkyH+R4VASihkJ8\nsPo5DF0YuVkQy2aORQTi5ofvzxCdq96vyM1ev19yVKtOEzV4X7OxdTuZITT1Tza/lwG6rPtPxnfA\n4cXm5FVmWmyDqYHMxEIF60lrlCFqLzJrRMNSUEqHV0TtZlLClPo9ThJguyk3po0+i4hy4LKXa8NW\nmhW7u70STd/RU+v2H5QaX4M71Xy/G17ziiM8wctY+vLPwhAMzpxjbXk0+QrmyRpBducCacA18W3S\nxHwJOGmvYgPrhDOL+w7OkqMP/XINvIgRfIekmoNwtNIPDUpNY3sfI2zXtyOGmkComRTxPs78/rIZ\nD3nW/B0qOu9CMd5fPpltwASM7CiHwQVCbDqWmvsjmhKxXhzyaObGR4l9888Y2RQFWGzyNlbWYHIQ\nli7A9HBWWuuO0K413mxV4PeKoVtfkyEfGkBn82bF1goHFZ9Yf0h3UmLHJKWVZ6CJ/Y1mhWb7J/jZ\n//go//zt6wDY9epvc57tLP0/P5uWe8ssmCQJCeVAdIBPPtUcrHnca4JBdVyLbydrz34mQIT+Ufjo\nPjWmp88xHe8H62Pfo31f8wFwifretn5HoXW5xVGE/gtBTSezwh1tUUDUtGkNxtesr8hw8frYppQT\nlFsAxscRs6u4QzMmXUXELDMmtidho2/vv0wMd64DcKUJhyiZdawm+WOuuk/0VPP9hqbe3jX40mAe\n3EkSGlhuzp8EviBhoBIdgDVGi7MXKWiU7GCM+QJRJUWBU2O6fhrVmZBQdyNG7teeH4+QX7b/hfLS\n4nxsvx+aiL9VorAcpGh76KbMSNH7Ht0tEXmqq7Vvv74mPGK3+gmUGr3G9hROl0PRr9cxz/L04mQn\nhp+2+yjZztGDvteR0ZUiHGp2oi8y6TfY4/R6cmWzvYHsY9izBquDTfJTF+4dgN9eI4UWY6lB/7jn\ngEqN0dW5beRohTNupDxn1hr07sfMql+LRuh8PNaP0VVnhhItbbbUzIHI8DFzs190ot91kAlhIvV1\nZCDfHkpBUTMH9NuHuV86cU3r92s3HhMDupavWVTyOUSBVFOSXvx5Re8RXS9TPmPP95UgHPaE20ob\n+IIlRwZtO+fpoh071wiZ3f/9Gxz/v38uOXP+COAEvRoWytChF2fgfsymTns7rfDbsxL7oQFvX04+\n71M0T7x4GzWtrr46ohklZ2Lq+mFKp2HEzRIotT54+/KdRLOgVvqda/Wp0yLF7chzH5kwQnNfz+Lp\nze1Qr59AiLkM+l0DjbHULMZa/VqdfsWvVdIe9K7bkX/Bc3UkRJauhFBmHDwXDIJB3jsnBEEvX2uv\nxSVDcHzw56DTBb5nFaj89nyAqEZqzrzY+dpMu6e+n2Dw+2+k8aE3LOrX9gs5evsGhEsAAB6rSURB\nVF90jwnKPR7Uhicg1fCxC0D/H+G/oi0RRzsC6BfW9Hs5t0an5iLrnjxB6H4macwWrGUaqt5GDBt9\nFTVzIoLCS3FVRBn90EO8rwstfzb30ynN38Oa4pO95GjdJsrWbTDrCU9OS0pskWOnNjny+Co33iXk\nCvAbUBcM0Mv00vDxPJQMqLaiYatyofn4lvuxbASn3dfhS5c7Vn/Q/q/ZJ/YTkjBQhANSirYjg05z\nzld7Rob1PRV8DIbpffdEpHCNa7+2a0UISfeMaGUbcCE73FQiYlA3okCI9fx3zR8Rkas/WjRTdG4o\nHPdH87pt++h/PNevrzWBIQEhn4aEjkf2FBbdZNk65BAdLi71fIAiHyo+7GsvIAsarZJch/QRKktT\nut+gnwCJmtCpq5bNGKG97oXVkab1DV71Heus2T1rzsJhOy5BIGTwFCX16LpY/Jm8X7HPfu250G5U\nd7pvRDP9QqtxDHU/N63M/yOid00aGdW74bkzqu+lFb4jEoh1/ZyUmG/eEtvy//FYRAx+PN7XEYN4\nxRGEMiRd2GDn1M9NlufP1vQR/unTJjG7HtpXZGriXVDI2fO+ayiJLjrGHDkQjkGdQiQUoNcrv0b2\nGfgbpb0IFYi5ovaH7N131ODowanugl3/lLUbOaVG5YTz/uxqw4VkNF3iuNQEqPrsQrjWl5go5WM/\nmK+bHc3XR+3Zolyf4N1QglvNh+DdiedrSEM2vWhN532RXzRbPMIW14RAr/ByZOLH47Jw8Ud87pqp\n8kPAgK1DDtGk0G9JSJ+ouHquU/mtAXG0AeSNUkTgDuP95jXYGwl5o+FSOnLNrq7Z2NEZ6unEkdFq\natF/O3x3s6Of5u/XR53rZ6rEXIiaz8SpMmaBtqxuzU+yLdTXczXXDQFDo1mDRj9AP3koWA3lFnE1\nrR67quI+rxgF0D3lB1F9X1NR26nK+yq6r+mjKMw65NcXeHRPfFPLtfghytYih43sQF9uK0LwsI2n\nn3r4yK+dfm24oRNlTYPFJccRVbiGjYTt2YYTlM40IQlXCTXm0APEgaHy29uKTKh+qA1HSzWGxM7r\n2thWbLefYIn99L76fWKb7k+J/bFmo2DwIm3sm9CKkaKpofrerqMDdTtmXrpJ4/d3bR0XgMnkcM2v\nEk2LyAfx3Hrp5vsq/d/reZaxkNNGALJP17am+CS7tHMPboRuLpVdG6g9EQWkxVNjkFCDmDqGCaEk\nVM9yjOdqIUdvQ53skPKxR8lmRMeug14mx47XqN77r283b1yQ1F5G4+0QztcEgrfhJd67dg8/5mjC\n74udjyhGvzvk+Wj8R3K4eYm+hxgCjxDdNbULCu+aL9TD6g6FazzSUUOztVIze/z+cYgcVaisAjTv\ngFWUbiPSkTK9TG7fOuHgseraYOqBxyrnY7qpBIg2+BCR7AOOdSiTfGqM6UTvQ1ITAC5gImNEf0As\n0cnolIodg14fifchal5HNP0YsMbEKu44rbWhOn4fb3+jvtWezf0ZukZZpdFUMkThyT/rC+WaOtOU\nOTKu9aMfy5ncNfdmrEhXUrW6EU3UUEtsN9Jyj2ls1+ne06EvQti+i9UPIRC8bO1+Dj5Rbgu6Noha\ngXBcAx8HZ8TqfekEWYPHCEQNCte86YTz/YSEM8AUyZuqvRHPUW/Py0b9qB2PfXQHoPqxkXEdmfuH\nLbUwZU2VueqsoTLs3BppEdsgcA5m9uVVkFF7rwIr59I1IztyghCUSXKOCGIXW+F/TWlJYUUBURMO\n8fFrQqgmO2v39N+rF2BkOG9m4wJHgtEd+Ni5y1h4tXXIAUrnSrTtPFwpe80nMaagYnUlKJZJi6yK\n/RcjWlDxhmoON+gl4ho6cApYIEctaiaNSj/qrCU59fMH1ARVlLCujjZKyIrCxB2Ftf73c1TW+hw5\nT+HfYUqBoVWq51lfjRntc29mCJgZzcyhRVA61ya/EhESY8XFSiq1/AhPOIJybYT3g3CsNvRRaGxk\nhrhZsd6PTn4ekdokOcEpoiPVmSKR5CbL1gmHaCN5rNYhodfzrDdfW+FOGP2XD+Io9Cbs9HMqXqrI\n13CpkKf/96XYfk2/4kxY06zRn1CLsng976Pb8LLpaxmYUYBEwVDz28TikRLvQxRQUQhH0yPsSB1h\neY2CpUxUdMtJ+9+mfCnvbLg+CqIoLz2d34VJDaRF4dOv3yoetfA1R9AIpNG87wOUjvqaWaL/Cxvc\ns1K2dm2FpK87JqGUsI4a3H6D+oTFiZXDZvEICaLGN0p7Q7HUzAkvNYKH0n7fRrnrkodUW5RrMdym\nj2aE19F1XmoMpvvHEim3ZpLUfBfen3jPWl/8u5/vIdYdtnMdUihaZV/eeSkyQUSeETR5cWgfhYDy\nanR+pvmOi7sE3eM9I4qthSej0KmZG953d9ALLfgOZuIR349E1/f4R64UsyKaBTW7LTp1NoJmQhZO\n29OkCf4EJC10mjrMVbkUhN8oDBrzGdTOU5TrHMQUfk2/aArhutjnfuZE7bni72iS1N6YFYWLC4/a\n5jM1FNMPoXUoQ6G1PBC1O5EFgocqnbH65c5AyagSJrounpuipCPdY4nEnHso3+DuMN7v6wimQ+kw\nl0nj/g/PdmyRl5Is2AYwHYDvQOd66KylVccchpUZ8i7mN5L2Jvh54KtNg/57c2VrkYOknvscomDA\njruU9RfcuPYQGpkkx3+XabaIe4hMqBetYS8Rrte+43U1plUbWr69g7zprKOH+O19ULG3TBf38b5E\nOe9c0Q/r1o7VmL0fmvBSS4hyNOTPFk0Ovya2KeG0E1q7el/gEptRiRGLWGryPQ6Fr2iMTky1u0Sm\nMy97yFvh7yWZMEI6M2QkLMchXWCALOi1NmiQtPXgVZRlIF/j+z901M4RqyvfTQv4hStkybZLVZ8Y\nd/5E+OhhzBp60HE/t0raVuueI5RLluOFrsGxYzG278VNAy+OMASN/UHli3BYXytuTlxs2tI1ceCc\nEaMg6YdloS5Y+gkCD/nG316iMO3n/PVra8JRIc6dwDW9y/U9ChGzJh1JOrPrtv7fH7sm9/Xbh0+b\ntujcaqWOzA9HGbHE1aW6dn4NpgbrJodH72LIli5pw9OrKU3Zi8AtmxYOW5sh6QMR88P1gWRn+iTo\n24mhn2QXijgKvGEfvfkKhGPD4Zg36t/+EDGq0A/iaz+FQfJCqX55A4LUa/Yd04shZ3XW2vLn6IRv\nqK+sVJ89ySoKy5b9dgHnazAcDUXBERGK16+loG8Dvp80rqMG/x3t9lo6/Ri96xxqa3qc9jrho3q+\nLb7qaiGUkvR0D9/ROi6IotInfc8OlnTuJKjn8XuuF3+XSRPe5Tx1dNa/bL3PwbfVjnakM3kcXEnO\niC50bsX+L/i1vsdCTWPVTIgYnaiZBmrHGcspdoJep2QsUUVEweJ+AUcckXkjAqr9jsusXfC4wKsl\nhvkx/92yOrXifhf13U2X2rWDwFkYOpiXIrtzUN31FYsRRbgC0XWiPVdKKrV8Gv9f0/I+dX6fFbsO\nen1iupcPvWi1Rgr9vgvUc57kbFMIHfIao82XrRUOHm6KkFCCwQc9LjvVb9WT8zLGqUU0xyG/m/J0\nU8FnoCYYIrqIWpXwu7bkGZIpI6EiqCw7MDohY3Zgp7m+xji6Z5zKjaB6LRSr4y5IajYb9EK8aIb0\nM5MiqhJy2UijNchpBjjeJP9Eq0Rz76ihpqm9iz1QPJyLzB2dhVCm8LvA2Eh4xX7EevF4zXSOads9\npspi863d0D2EvfmytcLBM9cEE30xVVwAs5FpLNvOvc5QEkkLcio1VkGN9YP4frOaYRohtAuYCOM9\nVdkFg4537HxtGzvPTYgYOKKdjXwHqiMB5M8bny/6VGpRlX73qplnqltDNvG6ps2F5h6OGP3xXUnE\nroihYlejGeGkoMiCX+dINpqy/ZCD389foRhzI1zOevv9UAKUtF0IiFcCf0lygovmLr9snXDQgw2R\nmTq+BatDzqNXJAIyQpC3V8eVVekSXe3NkATqbTvg3u/Su8gKetcY1LR5ZBw9TCyBuOmQoxUuSCJG\nrd3boXj0ZziT9tvyLpaNGNmFRT+fQRQKm2nbw7E6r/GI7bfoESqr3XzMzQS/xLvi6NJLdEK6cPGu\nRUenHs0ZMaIPn0rst9f3fm+k7BwhxOd1IaHPej7DGvBlUgz0HAkln6UUxpsrWysctM2bGN9TW8X4\nnuOwRGlyyGaUf8E1RySOxeb3PKSY70NkaK/iax9iCC/uoejabqOX1njpkE2JUfK2cnpACY6Y/+DF\nfRY1AacS1Ywfj9PezwyohVoj9o3qrl/pd73uHX0e/qKgi9AagM62Mm0eSiXgJqSad3PTj/nv+MJb\nPwalaRHv7UouJunF/rQr18Y+ReRA5biKP+f6nhGRbnwt0ZUiHKB0LkkQxP8uTSUQHGFEz3CEiv5f\nG2+uE2nc/twzGV3zR0y3UU4CodP+X9vWy4vsKy/Vrmtt9TX6C2pt63c81qK3P7U+euSidn+hHA/r\nbiQMaveonffiZk0wyzqNKRW1qT96ZHJnSvdpeb3oyK7Z81EQqbhQ8NWR/lhxs+SayQGZ9mVqr4bz\n6odf7+NQFBesEgq+E/rmytYJBw2aFkgpJNMhJYz4Bhm+QMYHZ5w82bITI4SDctOYGVLOw71QSlUx\npxYAxXUHrm5UNorla+bcqRgRRtz1WX1QWzXkAL1UUWNSCT9/xkhJDuk9jdufjXA8ml2eh7FRiUIu\njpXGXf/dzyEn7rm8sazLPl9/4PThzB9zZ6A3V0C0FBPyXEhEk6RDff8He1XCehs1M8i/PeIShd8Q\npUmk+n7vIWD1qaaCzEE9xGnyOpXNla1NgnLUq98z5AddJIevRkjmxnomWHOdBktvsdIxb1uvz9Nk\nLZH2evj0g3bzqJ0dGUTGqiGHmvCI+FVF5sAEOR5de8eFU0fNhIkY2Uutr35vlcjcLZIj6wy9Qs+F\ngfev9mz9Sgy7envD9KKU5v/+/XD4MLAfeKw5fhZG9pVz7Qzs6NK7C2WXoWQ8Rxpq04e35muIjK9+\nuD9jIxKplU7lfARj/jwrAH9FTtefoFz41wF+6QpYW6EFJI4YoEwy8XdijpC1Rg2tjlNKUr82CiD9\nLiByLeIgrRsZwLWg2zCxc5ESozPxHGkCz1DGoGtCxe8f7aUaFalEcyFGSnwzXI3HU9SF5aVCnLH9\nWtkICUVBZqbdOLBvPxxRktRpYCJr+khD2DH3DfSD4tGciMwuepIg8OH3/5696a9Z8FJ730bNhKmh\nipqwWF0jrZt4ijR+O8j02yEpne1sLLR7y9YJh2nKiIN607GPYJ+O6zV4ES7WbLq4Q47abzftHAHG\n9sPKI+St5GKpacF+yToqPqQufCIElz14lpy95g7JWnuxTSr9jmqpJlQkGMSQa6FuRCkuOFU8bl7b\nfp/K+VhifSj34tQYdRKK/Po58kuKr2L9RZE1Ozxq8xghiOjCSzQdIL/yXgwqB2D0R0QHaYteU0i/\nXen1M4Xcz1CsuuySVhhvA+6jDIWvkUwIH3+9/X3zZWuRg4SC202ery4bcoQyPAll+HKcXn+D509A\naVaozT3Avf0EwyCJUCNkjr4B1YX6G5+gVFs6Jug+SJq0Bib3FD2EZ0jW8gKgF5lEw9V/uz/DY+Ge\nir2R0zWiLr+vI4yaX8ZzMdSO7OPo87gKONPsvfAQeW3MIHAeWvvzrVT6yUR/hYErFRckEQjGHcqg\njFrEJdFuQng41NGDaNyd8EIGcQOZwmw5Q6LJ0+QkPt3sLDl8uSN06nKjaqlsam3F9PQ0119/PTfc\ncAM33ngjAGfPnuXgwYNce+213HLLLays5Ke666672LVrF7OzszzwwAP1Rt0hif3uUPoZXHDI76BJ\n0WepaWNvc95TYldIWkd1F8iC6euQbFiXqDG3X51r0buGwc2FGEXw0qF3YhYoX0IzTIbukdk6Tb3z\nzW9pfWck6I9mImZV0VoP9c9Rjn+rjSgkajkK8TrPgox1a4gkCuo1YCesrJGSe9T21c3HLom2PuF3\nbecwz6j1um5atCg3IWpVPkP28alxk0RFTvj1PqxlAeEf1oAudP4ceAQ4DHyTMutxgoSgppv/V5GV\nlNNcbYfyjcumhMPAwACHDx/mW9/6Fg8//DAAhw4d4uDBgzz66KO87nWv49ChQwCcOHGCz3zmM5w4\ncYL777+f9773vTz33HO9jfpu09FZIygmv4SWXUsQxBwIDfwSvdENrD0oQ2FtYN8g5Ruc/JXxtRWH\nkXH9WPQ4XQqY7SRPouB0DebH+7HJ8/3OqZwjC6dakhX0+ii8vRqxxWP+1jG4tCCL/Wwg8cggaRnz\nPIkxFvrfOoYnHVHGXIRID27WeruR5qIwiIyt67VdgK7V5kN61CGAwabdLvnlRBdI5sL3SIz/PXrn\nZoI8vh6d2E6eN51vXiV4GWXTZkX0cN533318+ctfBuCOO+5g//79HDp0iM9//vO8/e1vZ3BwkOnp\naWZmZnj44Ye5+eabywanSQM2TwnBNPjuX8DOQ0YdnpwiNDDUXCsHpeBa3JhDk7puXzoK0PdGPgco\nF2B5OzVvU83R5pJ9glI719pwlQS94U5dHxeG+fOp7RqS8OL3GwzX1AQTdl89m8ww6EUIcVxrXjm7\n5ziwutC0ebq5/vvQmQtooGJy6dwqrO+B4OihFerVigubWjSjJ/nqL5r7TZMQz1/BaoeE1K4CdkJn\nATpnKOfNmV3L88+TUZ6UidCDIwTR6zyJnjQf+o7mxsZl08jhwIED7N27lz/90z8F4MyZM0xMTAAw\nMTHBmTNpj4QnnniCqamp9WunpqY4ffp0b6MnSQztZoAgnsKNMgnki3D7T4JgkkQ4k029peaaI6Qx\nckntTkqZKSeBmYOVp3Zvb/QvOMP5/8hMUbv6+UGyMxJyiquKM6C3ER1NkaI90zBq522U266p1Lac\ni4IjMm3tExeA9fNVxI/aj+Zap+nzQVj4TPP7lc25Xazv4XZZaHmg91A/WaeyLpPtedqkXaBXSbkF\n7cdI0P8x6MjJPUqa3682vydIaPEciTi/R3r+GZK/QMw/xbqzFeedi00bg007Ki6U5axVp+WrEiLZ\nfNkUcvjqV7/KS1/6Un7wgx9w8OBBZmdni/MDAwMpd6FPqZ6Tg9H3kFQGY5ucQh3DPgtknvNoxhBp\nPCVMlCAl50/kU+VRrE/8dnohsK+D8MHvt/5CnYy/axrcnYGy9yN0j2YKpAl2rR5RyaUiDDWU42nY\nkSQGrU4URhuRTxR0LkB8D4hosvkztUjz8iCZ6BdIAmI7dWKPAlE7I22iRBrxRKYOzZZsKovNvYbJ\nuSqQx9HfcC4UcJq8AYv8A1ohrDoKQypT9xxZIZwl72geoY+vvIzKQzkPl+dz2JRweOlLXwrAS17y\nEt7ylrfw8MMPMzExwdLSEpOTkzz55JNcfXVyDu3cuZPHH398/drFxUV27tzZ2+hTd8Izze+h/TC+\nP/dIml45EIpEeMhTAkH5ELpunPxugzh+8hj76rj1KIdCZ9CbHShno4REzWEHpQBwE8CZ0pNSdI1P\nsJyDOg69DOn99BJt+7g5THTseD6Hjsfn0bEaSokmj65RfRd2eh5/Lu9n7J/+f5/EQK8hMcd0umZ8\nGJYXm3obCQA/fglBER9vtaGD9neaPrgQEL3obeYR9ejZR+34BOv5GeumgcwDmQ9r4brYubgWx00H\nC/2up+f/MynK8yxQ8f1tUC5pVly4cIHz5xP0ffrpp3nggQd41atexa233srdd98NwN13381tt90G\nwK233so999zDM888w6lTp3jsscfWIxxF2Xkn/I/fhP9xJyy8Er6+lqIH/s4/MfskWVD4ugoPe2oR\n1yLlzjsbOT09ErLvJjsZte23yUwLpRDAfq9RMrQ+gs8SMj7BHrtXGzHXQf1y4eH30jW6z6nmeC36\n4IIpMrz6qjUg0THqgxr7pkmLDkwXQi4kdfxRssDwZ7K2b7uJzACD0BqG5S7lPF0gMX+XHHHyt5AH\nwTDk150hzcMiyTR4BDhB0tKnyIKhA3yNzHx6QbPG0YX8jua3nvcsGenoOgmAi1Z3m/1WUpP6eVVz\nzXYSAmmRBYzaEY21mue5Dngr8J+A/8LllEsihzNnzvCWt7wFgE6nw6/92q9xyy23sHfvXm6//XY+\n9alPMT09zWc/+1kA5ubmuP3225mbm6PVavHxj3+8blYco+m8Ytfbge+ZE9oh5s+TpO1Xgf0ZLYyT\n6ivE6WZJqzm3SvZHyK+BfU81v+ehnCTs+wRpkL24vawJqTn9sDq+EMbb9/wGhVVjolNk0qiB/T6P\nAteGvopgIgO6ltZ5HYuhSjc9agJC3zUmj31UGxrb2OYg8EYSfUDBTJ2u9QMyLP+sta/M06mm3k6S\nZm40alvP5SjMFYCbkRqHQeC7wP9CPbLj5SKJgc83/VNfX9m0IWF+VXPfs5R0N0h2IF4kmS/eP9Ub\nJqMQbWast4T9JXANZQRu82Xr1lawTIrZ6l0SM2TJJ2bZRg5dOdzaCWPXp7GSqeAmyDTp3DxlCqui\nGjJJ3PRYAZZPkCZTE6XJ+gzwv9oTRCelF18wVPGcrx+H0i+gbbwcQdR8AN4H6BVCkEJgt1rb+nbv\ndr/rt4VjNd+B970mBBw11HwgPi5/QRpb2caQUUIjKN+9Dz59ijSxXwWEJHT/B5vrdrCuZNaJQL6k\nqyj76wjKfS7R+SzhoGf6A+A/h7Z8PuXw/T7luD9m9/RnXQvH1sj+Ck98c5rStUoGc3Q2TA5lfhp4\ntz3XKFfG2or1GPs2koRdIEn7BbJn9yz5rSJnyQ6anTk8udCc9tWd8yRhMEtevKU4tZ7YIx9ybM7O\nwcn76J/XAHUCiinSfq5l10Q/RoTtkvyq4wQRmdU1vpeaP8QJMZorTniq40ys4prdIbQzhupFBqyN\nmf4/Z31wBSCH3enmrWXfBx5ujmtPDJo6cuK1SAwj2pET7ywZhXi/3acirezC7yqyiaWxejGlEPPn\nkcCSQFm0a6ea7wWyM1XntFWAI5QJsskZ3xQf6ck3RVYbZ2xs1d/LY/ctQQ579uzh29/+9o/7ti+U\nF8r/78sv/uIvcvjw4U3V3RLh8EJ5obxQnv9la99b8UJ5obxQnrflBeHwQnmhvFCq5ccuHO6//35m\nZ2fZtWsXH/nIR37ct+8pv/7rv87ExASvetWr1o/9f15x+u9YHn/8cX7pl36J6667jt27d/Mnf/In\nz9s+t9ttbrrpJvbs2cPc3Bwf/OAHn7d99fLss89yww038OY3v/l5399/lxXTKt0fY+l0Ot2Xv/zl\n3VOnTnWfeeaZ7qtf/eruiRMnfpxd6Clf+cpXut/85je7u3fvXj/2O7/zO92PfOQj3W632z106FD3\n/e9/f7fb7Xb/4R/+ofvqV7+6+8wzz3RPnTrVffnLX9599tlnf6z9ffLJJ7vf+ta3ut1ut3v+/Pnu\ntdde2z1x4sTzts9PP/10t9vtdtfW1ro33XRT9+/+7u+et31V+cM//MPuO97xju6b3/zmbrf7/KaH\n6enp7lNPPVUc+1H198cqHL72ta91X//616//v+uuu7p33XXXj7ML1XLq1KlCOLziFa/oLi0tdbvd\nxIyveMUrut1ut/vhD3+4e+jQofV6r3/967t///d//+PtbCi/+qu/2n3wwQef931++umnu3v37u0e\nP378ed3Xxx//f9u3f5XmoTAM4K8FR+mmCBVsQnUQOclUKHQK0qHdsrRD7kEHL0EFO/UGvAiR/oGS\nBgQ3aekFpIXipCKVVAiBPN/il4+2qYPafGd4f1uy9BmSl56T80xgGAZs20alUgEg9/Owv7+Pl5eX\nuXu/lTfRZcXT0xPt7e1F1ysbm//ZjxunCRmPx9Tv9ymfz0ubOQxD0jSNdnZ2ouWQrFmJiM7Ozqhe\nr1Mq9e/VkDnvWhrTnxI9BPVVc1NW32qcJsDzPDJNkxqNBm1tzdewZcqcSqVoMBjQdDqlUqlEvV5v\nKYssWe/u7mh7e5t0XV95FkCmvERrakx/SvSfw2JjczKZzE0yWfxtnBLR9xqnaxYEAZmmSZZlRYU3\n2TOn02kql8v0+PgobdaHhwe6vb2lbDZLtVqNbNsmy7KkzUv0dWP6x3nXsAxaKQgCKIqC0WgE3/el\n2JAElvcczs/Po7XZ1dXV0oaO7/twXReKoiAMw0SzhmEIy7Jweno6d1/GzM/Pz3h7ewMAfHx8oFgs\notvtSpl1keM40Z6DrHlnsxne398BAJ7noVAooNPp/FreRIcDADSbTRwcHEBVVVxeXib980uq1Sp2\nd3exubmJTCaDm5sbvL6+wjAM5HI5nJycRA84AFxcXEBVVRweHqLdbiee9/7+HhsbGxBCQNM0aJqG\nVqslZebhcAhd1yGEwPHxMa6vrwFAyqyLHMeJvlbImtd1XQghIITA0dFR9D79Vl4+Ps0Yi8UnJBlj\nsXg4MMZi8XBgjMXi4cAYi8XDgTEWi4cDYywWDwfGWCweDoyxWH8AM8i+i8B520kAAAAASUVORK5C\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(hymap[10],interpolation='nearest')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The wavelengths associated with each band are stored in [`files/data/wavebands.dat`](files/data/wavebands.dat)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7ImIdIBhT0SkA/8PZ2t2nRtop+EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = hymap.mean(axis=(1,2))\n", "wavelength = np.loadtxt('files/data/wavebands.dat')\n", "plt.plot(wavelength,mean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Theory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest form of model in p-theory assumes that the photon recollision probability is constant with wavelength and scattering order. Under this assumption, the total scattering from the canopy, $W$ is:\n", "\n", "$$\n", "W = i_0 \\frac{(1 - p) \\omega}{1 - p \\omega}\n", "$$\n", "\n", "where $i_0$ is the canopy interception probability, $\\omega$ is the leaf-level scattering (the leaf single scattering albedo) and $p$ is the recollision probability: the probability that a photon, having intercepted a canopy element, will recollide with another element rather than escape the canopy.\n", "\n", "We can develop from this a model of the canopy *reflectance* $\\rho$ (i.e. that portion scattered upwards, perhaps in a particular direction):\n", "\n", "\n", "$$\n", "\\rho = \\frac{a \\omega}{1 - p \\omega}\n", "$$\n", "\n", "For a closed canopy, or one with only little soil influence, this will describe the spectral reflectance for some given leaf single scattering albedo spectrum and given $p$.\n", "\n", "If we know $\\omega$ then, and have a measurement of $\\rho$, we can estimate $p$. From $p$, we can estimate LAI according to Lewis and Disney (2007) by:\n", "\n", "$$\n", "p = 0.88 \\left( 1 - exp(- 0.7 LAI^{0.75}) \\right)\n", "$$" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "LAI = np.arange(0,12,0.01)\n", "p = 0.88*(1 - np.exp(-0.7 * LAI**0.75))\n", "plt.plot(LAI,p)\n", "plt.xlabel('LAI')\n", "plt.ylabel('p')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several ways we could estimate $p$. An interesting feature exploited by Knyazikhin et al. (2013) follows from:\n", "\n", "$$\n", "\\frac{\\rho}{\\omega} = \\frac{a}{1 - p \\omega}\n", "$$\n", "\n", "so\n", "\n", "\n", "$$\n", "\\frac{\\rho}{\\omega} = a + p \\rho\n", "$$\n", "\n", "\n", "So that if we plot $\\frac{\\rho}{\\omega}$ as a function of $\\rho$, this theory predicts we should see a straight line.\n", "\n", "An example leaf single scattering albedo is given in [`files/data/ssalbedo.dat`](files/data/ssalbedo.dat):" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(400.0, 2400.0)" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEPCAYAAABFpK+YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ssalbedo = np.loadtxt('files/data/ssalbedo.dat').T\n", "plt.plot(ssalbedo[0],ssalbedo[1])\n", "plt.xlabel('wavelength / nm')\n", "plt.ylabel('single scattering albedo')\n", "plt.xlim(ssalbedo[0][0],ssalbedo[0][-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which is sampled every 1 nm from 400 to 2400 nm.\n", "\n", "We will clearly need to resample this to the same wavebands as the hyperspectral data:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "from scipy.stats import linregress" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "f = interp1d(ssalbedo[0],ssalbedo[1])\n", "omega = f(wavelength[wavelength<=2400])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The theory becomes more complicated when multiple absorbing constituents are involved, so we select here only wavelengths between 710 and 790 nm (on the 'red edge'), where the main absorbing constituent is chlorophyll." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "# wavelength\n", "W = (wavelength >= 710) & (wavelength <= 790)\n", "\n", "wave = wavelength[W]\n", "# single scattering albedo\n", "omega = f(wavelength[W])\n", "# reflectance\n", "rho = hymap[W]" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "slope 0.710882123721 intercept 0.125383329915\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nACIiJ8UCQETkpFgAiIicFAsAEZGT+v/6uIAkeEHVJgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets see if its a straight line!\n", "mean = rho.mean(axis=(1,2))\n", "plt.plot(mean,mean/omega,'+')\n", "\n", "# linear fit\n", "slope, intercept, r_value, p_value, std_err = linregress(mean,mean/omega)\n", "x = np.array([mean[0],mean[-1]])\n", "plt.plot(x,x*slope+intercept)\n", "print 'slope',slope,'intercept',intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, here, $p$ is 0.71088" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.13529156174\n" ] } ], "source": [ "#p = 0.88*(1 - np.exp(-0.7 * LAI**0.75))\n", "LAI = (np.log(1 - slope/0.88)/-0.7)**(4./3.)\n", "print LAI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following Knyazikhin et al. (2013) we can calculate the `DASF` (Directional Area Scattering Function) from:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.43367546666\n" ] } ], "source": [ "DASF = intercept/(1 - slope)\n", "print DASF" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and from that, $W$:" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEACAYAAAC57G0KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "W = mean/DASF\n", "plt.plot(wave,W)\n", "plt.plot(wave,omega)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which in turn can give access to leaf biochemistry." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of this exercise should be a spatial dataset of LAI.\n", "\n", "The processing for this task is quite straightforward, and you *should* be able to develop a neat algorithm given the information above.\n", "\n", "You should work in teams for this exercise as in previous weeks, and assign tasks for people to complete after you have discussed an overall algorithm and defined any interfaces you will need.\n", "\n", "If you finish the task quickly, you could explore the impact of the the leaf single scattering albedo assumed, and/or examine the impact of widening the wavelength range used here. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "toc_cell": true, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }