{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MMMC the 2015 update\n", "\n", "See the [original blog post](http://www.mglerner.com/blog/?p=16) for details and history. Here's the short story: in my Statistical and Thermal Physics class, we want to use Monte Carlo simulations to generate brackets for March Madness. There are at least two obvious ways to go about this:\n", "\n", " 1. Make some function that tells us the chance that team A beats team B, then flip coins for each matchup. That gets you one bracket. Repeat 100,000 times, collect statistics. This is the way Nate Silver's 538.com handles simulations for [basketball](http://fivethirtyeight.com/interactives/march-madness-predictions-2015/#mens), [elections](http://fivethirtyeight.com/interactives/senate-forecast/), etc, and I should probably implement it (note to self/motivated students: it's as easy as just generating 100,000 new brackets at a given temperature).\n", " \n", " 2. Generate one bracket, then do a Monte-Carlo walk through bracket space. This is tougher. We have to figure out how to make a move in bracket space, which is part of the fun of Monte Carlo simulations in general. To see how this is done, check out the code in `Bracket.swap` and `Brackets.simulate`.\n", " \n", "As you can tell, we take option 2 above. I've made things a bit nicer from a user standpoint this year; here's a walkthrough. First, load up our standard IPython setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "%matplotlib inline\n", "import seaborn as sns\n", "sns.set_style('darkgrid')\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from IPython.display import HTML" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The basics\n", "\n", "make me a single bracket at a given temperature" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Ste (12) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Ste (12) Ste (12) \n", "SMU (6) UCL (11) UCL (11) UCL (11) Ste (12)\n", "UCLA (11) \n", "Iowa St. (3) Iow (3) \n", "UAB (14) \n", "Iowa (7) Iow (7) Iow (7) \n", "Davidson (10) \n", "Gonzaga (2) Gon (2) \n", "North Dakota St. (15) \n", "Total bracket energy: -17.4533174222\n", "\n" ] } ], "source": [ "import MarchMadnessMonteCarlo as MMMC\n", "teams = MMMC.teams['south']\n", "b = MMMC.Bracket(teams=teams,T=0.5)\n", "print b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, instead of asking for all of the teams in the South, make up a set of Final Four teams, and run 1000 simulations. Show some statistics" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lowest energy bracket\n", "Kentucky (1) \n", "Wisconsin (1) Ken (1) \n", "Villanova (1) Vil (1) Ken (1) \n", "Duke (1) \n", "Total bracket energy: -3.05919025906\n", "\n", "Most common bracket (159)\n", "Kentucky (1) \n", "Wisconsin (1) Ken (1) \n", "Villanova (1) Duk (1) Ken (1) \n", "Duke (1) \n", "Total bracket energy: -3.04122415391\n", "\n" ] }, { "data": { "image/png": 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GIUT/c/050ze4fhrwmcakM/lB4H2pGWoFt7cQdmw6h65tYCcSzCv+x90LTcBm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\n16C2SURS1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sr = MMMC.simulate(1000,['Kentucky','Wisconsin','Villanova','Duke'],0.5)\n", "MMMC.showstats(sr,newfig=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, we fully sample bracket space pretty quickly (look at the graph in the top right, with the unique brackets shown)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# What should our temperature be?\n", "\n", "If we had chosen option 1 at the top, we'd just flip coins with a given probability of winning. Here (and this may be a questionable decision), we need to set an overall temperature for our simulation. Intuitively, the higher the temperature, the closer we come to a random outcome. The lower the temperature, the closer we come to a \"best seed always wins\" bracket. If we're going to make sense of temperature, we should pick a reasonable energy function.\n", "\n", "We can use [KenPom](http://www.kenpom.com)'s `log5` defined as\n", "\n", "```python\n", "def log5_energy_game(winner, loser):\n", " A,B = strength[winner],strength[loser]\n", " # see http://207.56.97.150/articles/playoff2002.htm\n", " win_pct = (A-A*B)/(A+B-2*A*B)\n", " return -win_pct\n", "```\n", "\n", "Conveniently, that's coded up for you in MarchMadnessMonteCarlo.examples.\n", "\n", "Later on, we could make a fancy energy function with, e.g., a weighted average of KenPom, Jeff Sagarin, and the NCAA rankings. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import MarchMadnessMonteCarlo.examples\n", "MMMC.set_energy_function(MarchMadnessMonteCarlo.examples.log5_energy_game)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, what should our actual temperature be? Historically, we know that an 8 seed vs. a 9 seed should essentially be a tossup. So, as a proxy here, we could just look at the chance of an 8 seed winning over a range of temperatures, and pick the point where it's pretty close to 0.5." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def winpct8(team8,team9,T,numtrials=10000):\n", " results = [MMMC.playgame(team8,team9,T)[0] == team8 for i in range(numtrials)]\n", " return np.average(results)\n", "def plotwins(team8,team9,numtrials=10000):\n", " Ts = np.linspace(0,3,100)\n", " pct = [winpct8(team8,team9,T,numtrials) for T in Ts]\n", " plt.plot(Ts,pct,label='{t1} vs. {t2}'.format(t1=team8,t2=team9))\n", " plt.xlabel('T')\n", " plt.ylabel('winpct')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll look at it for all four of the 8 vs. 9 matchups" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WY+y1+ncOR61S2Lg3E7vdTmiEL7HxwWQdLyFDlpkVQgjhhtw6sKt9\n/VA0mrMaYwfw89LRIyGEtJwyjmU5ZtZfdImj1b5jU2qzlVMIIYQ4V9w6sCsqFZrAoLNusQMM7hkF\nwLpdGQCER/kRHRvA8WOF5GSWNEs5hRBCiHPFrQM7ONK3WktKsJmrz+r8LnFBBPt5sHl/NpUmC3Bi\nrH3H79JqF0II4V7cPrBrnTPjz24mu0qlcFmPSExmK5sPOCbRRccGEBblS/LhPApyy5utrEIIIURL\nc/vArgk++1feal3aPQqVorBup6M7XlEUZ6t95x/SahdCCOE+3D6wa2uyvJ1pMpi6An319EgIJiW7\nlGNZjnH1uIRggkK9Obw/m5KiymYpqxBCCNHS3D6wn1ik5uzeZa918iQ6RVHoNaAtdjvs3Jz21wop\nhBBCnCNuH9i1wWe/rGxdXdsFE+yn5486k+gSOoXiF+DBwT2ZlJea/nJZhRBCiJbm9oFdE/jXFqmp\npVIpDOoRhanaypaaSXQqlYpeA9pis9rZvVVa7UIIIS58bh/YVXo9ah/fvzTGXmtQ9ygUBX6t6Y4H\nMHSNwNtHx587M6isOLtX6oQQQohzxe0DO4AmKAhLQcFfXt890FdPj/gQUrJOTKJTa1T0HNAWi9nG\nLhlrF0IIcYFrHYE9OBh7dTW2srK/fK0hvaIB+GxNEraaDwqde0bi7aNj3450Ksql1S6EEOLC1SoC\nuzMvezN0x3drH0TPhBAOphaxdkc6ABqNml4DHa323Vuk1S6EEOLC1SoCuyaoeSbQgeM1tztHGfD2\n0PD5r0lkF1YA0KlHJN6+0moXQghxYWsVgb25Xnmr5e+j59bLE6k223jv+wPY7HY0GjW9B8bWjLXL\nanRCCCEuTK0isDsXqWmmwA7Qv1M4FxlCOXy8mNU1r7p16h6Jt6+eP3dkUFEm77ULIYS48LSKwN6c\nY+y1FEXh9isM+HppWf7bUTLzy1FrVPQe2BaLRWbICyGEuDC1isCu9vND0Wj+8rKyJ/Pz0nH75QbM\nlpoueZudTt0j8fHTs29nBuXSahdCCHGBaRWBXVGp0AQGNWuLvVafjmH07xzOkYwSVm5JrWm1x2K1\n2Fj+wXYO7s36y+/PCyGEEM2lVQR2cLzLbi0uxmY2N/u1bx2ZiL+3jhXrj3I8t4xOPSK56JJYqqos\nrP3+IMs/3E5GalGz31cIIYQ4U60msNemb7UUFjb7tX08tdx5ZUcsVjtLvtuPzW6n36B23HJvPzp0\nCSM3q4yvl+1i1df7MVdbm/3+QgghhKtaTWA/kb61+bvjAXomhHBJtwhSs8v4flMKAL7+Hoz4R2eu\nv6M3YVG+JB3I4ZuPd8ma8kIIIc6bVhPYnTPj8/Na7B63DE8kyE/Pd78fIyWr1Lk9PMqPMbf2wtA1\nnJzMUr76aCfFhZUtVg4hhBCiMa0msOtiYgCoPHiwxe7h5aHh7is7YbU5uuTNFptzn1qtYujojvQe\n2Jbiwkq++mgHOZklLVYWIYQQoiGtJrB7tGuPJjiYsp3bsVW3XFd4l3ZBDOkVTXpeOW+v2EelyeLc\npygK/Qe3Z9DlHaisMPP1sl1s+S2ZvOwymTkvhBDinGg1gV1RFHz79sdWVUX53t0teq+bhibQKTaQ\nXUl5PPff7eQW1e9279o7miuu6wLA9t9T+Pz9bSxbtJnf1xwhP+evZ6ATQgghGtNqAjuAX/8BAJRu\n2dyi99Hr1Dx8Yw+G944hPbecuR9uw5hafzZ+e0Mod06+mJHXdiahUyiVFWZ2b0njiw+3k1tnfF4I\nIYRoTq0qsOti2qCLjKJ8z26slS07eU2jVnHr5YncMcpApcnCK5/sYu2O4/W63HV6DQmdwhh5bRfu\nmnoxQ68yYLPa+XnFn1TX6cIXQgghmkuLBnaDwfCawWD43WAwbDQYDH1O2tfGYDBsMBgMmw0Gw9vN\ncT9FUfDt1x+72Uz5rh3NccnTGtIzmn/e3BNPvYaPfj7EwhX7KKs8dZEcjUZNx+6R9BrQlpKiKtat\nNMq4uxBCiGbXYoHdYDAMBhKMRuPFwD3Amycd8irwstFo7A9YDQZDm+a4r2+//gCUbG7Z7vi6DG0D\neequvnSI8We7MZen3tvCwZSGF8rpOyiOiGg/kg7kcmB35jkroxBCiL+HlmyxDwO+AjAajQeBQIPB\n4ANgMBhUwKXAtzX7JxuNxmZJl6YLj0AfG0fFgT+xlp67sexgfw8eHdeb6wa1o7ismpc/3snydUeo\nqKrf5a5WqxhxTWf0Hho2rE6SyXRCCCGaVUsG9gig7moxuUBkzdehQCnwmsFgWG8wGJ5rzhv79usP\nViulO7Y152VPS6VS+Mcl7Xjstt6EBHjw/aYUprz+G7OXbuY/PxnZtC+LojITvv4eDB3dEavFxs9f\n7ycvu5TiwgrKS02YqszYbNJFL4QQ4uxozuG9FMBe5+to4HUgBfjeYDBcZTQaf2iOG/n27Ufe559S\nuvkPAgYPbY5LnpH4aH/m3N2PVVvTOJhayNGMEo7nlvPrznR0GhXjR3eiX6dwuveJYc+243z+/vZ6\n56tUCgHBXgTW/AkK9SY2IRiNRn3On0UIIYR7acnAnoGj1V4rCqgdVM4DUoxGYzKAwWD4BegCnDaw\nh4b6nv7Oob7kd+5EyYGD+Kmq0QcHn2HRm8c9MYEAWKw2jqYXs+9IHp+sOsQ7X/9JXmk1t4ztTkS0\nP0X5FZirrZjNVqqrLZSVmsjLLqMgt9x5rbbtg7h14gC0WteCu0v1JKSezoDUlWuknlwnddUyWjKw\n/ww8DSw2GAy9gXSj0VgOYDQaLQaD4ajBYEgwGo1JwEXAMlcumpvr2ri5R6++lOw/QMrKNQRePurs\nnqAZBXpqGNQ1gvgIX95cvocv1hzGeKyA+67pTHyn0FOOt9vtlJeaKMyvYN+OdI4dzmfZks1ccV0X\n1OqmR1BCQ31drqe/M6kn10lduUbqyXVSV645mw8/LTbGbjQaNwHbDQbDRhxd7g8aDIY7DQbDmJpD\nHgLer9lfZDQav23O+/v06QMqFSWbfsdus53+hHMkKsSbWXf2oWu7IPYezWfuf7azblc6RzNKMJlP\npHxVFAUfPw/atAti5LWdadMukJSkfH79QV6TE0II0TjFzYKE/Uw+4WW882/Ktm0leMz1BF99TQsW\n68zZbHa+WHeElZtTndsUBcIDvQj01VNRZaG8ykx5lQWL1cbVA9piPlpEdkYJ3fvEcPHweBRFafDa\n8knYNVJPrpO6co3Uk+ukrlwTGurb8C/6JpzLyXPnXPhtd1J19Aj5X3+FR/t4vDt3Od9FclKpFG4c\nmsDFXSM4mlFCWk6Z809WQQU6rQpvDy3BfnqKyqr5asMxxl9hoLrawp5tx9F7aLjokthGg7sQQoi/\np1bdYgeoPHqUtBfnofb0ou3sp9EGBbVQ0ZqH3W7HarOjqTOOnp5XznMfbcNssTN1TBd2rT5CaXEV\n7RJDGHKlAQ9Pbb1ryCdh10g9uU7qyjVST66TunLN2bTYW9Va8Q3xbN+esJtuwVpWSuaihdgtF/Ya\n7Yqi1AvqANEh3ky6titWm40lPx7ksms6EtXGn+RDeXy2dCtpyQXnqbRCCCEuNOo5c+ac7zKciTkV\nFWeea10f1w5zdjYV+/Zgq6rCu2u3FihaywoL9MLHU8s2Yy5JmSXccWMPPDw0pBwpwLgvm+oqC1WV\nZo4Yc9m77Thb1idzcE8meg8tgcFe0mXfAG9vPWfz/+nvSOrKNVJPrpO6co23t/7pMz2nVY+x11IU\nhfA77sKUlkrR6p/RhYURMGzE+S7WGRt+UQwZ+eWs3ZHOom/+5J6rO9OmXRCrv9nPnm3H6x2r0aiw\nWm38vOJPQiN8GTCkPTFxjvfqTVUW0lMKST1agNlspXufGMKj/M7HIwkhhGhmrX6Mva7qzAzSXnoe\na2kpAcNHEnrjzShq91rNzWqz8cbne9iXXIBep+bK/m0Z1jOaowdyUKkUfP09KEVhzY40qsqq6ern\nQcrhfACi2gZgs9nJTi/m5H/2dokh9BvUjqBQbwDM1RZSjxZw1JiHxWxl4LB4AoK8zvXjtigZ43Od\n1JVrpJ5cJ3XlmrMZY/9bBXYAc24u6W+9RnVGBl5duxN53yTUnp7NVLxzw2K1sX53Bis2JFNaYSbA\nR8fVF8eRX1zFxn1ZlJSf6N7q1SGEmy6OY8tvyaQlF6IoEBbpR5v2QbRpF4jVYmPzb8lkp5cA4B/p\ni5deTU5aMVZr3dzyaoaN7kS7xJB6ZbHb7aQlF1CQW0GX3lEur4x3IZBfLK6TunKN1JPrpK5cI4Hd\nRdaKCjIXv03Fvr3oomOInjINbcipq79d6CpNFn7cnMLPW9KotjgW4fH20DCsb1t6xwfz2dokDqQU\nctOwBK7o15aiggo8PLX1ZtHb7XaOZBSzdl0ypanF1H7E8fb3oGPXcNonhlKQV866H41YLDZ6DWxL\nv0HtUBRIPVrAtg3HyMl0/Jv4B3ky/OpObtOtL79YXCd15RqpJ9dJXblGAvuZXMhqJffTjylasxq1\nnx8xMx5FHx3dLNc+1wpKqti4N5OwQC96J4YQFRlAbm4pxWUmnnp/K+WVZv51a2/io/2d59jtdrYe\nzOGHTSmk1qSODQvwoHOYL1sO51EF3Hp5IkN7OeokP6eMlV/uo6Soiqi2AZirreRmOf4t2htC8PLW\nsW9HBooCvQfGctElsadd+vZ8k18srpO6co3Uk+ukrlwjgf0sFK7+mdxPlqH29SVm+iPo27Rp1uuf\nD3V/YA6kFPLKJzsJ9NUz5+5++HhqSc8rZ9mqQxxIKUSlKPRKDGFIr2g6xQaiUhQOpRWx4Mu9lFWa\nGX5RDDcPT0CtUmGqMvPLdwdJSXKM2bc3hNLnkliCw3wASE8pZM33BykrMRES7sOIazoTGOzauLzd\nbqe4sJLyUhMRMf7n5EOB/GJxndSVa6SeXCd15RoJ7GepaN2v5Hz0ASofH2Kmz8SjbWyz3+NcOvkH\n5puNyaxYn0z3+GCigr1ZtS0Nq81O9/hgxo3oQFjgqcE3t6iSN7/YQ3peOdGh3ug0KsoqzZRVmPGs\nttIuLpA7rumCr5eu3nnVJgsbf0ni4J4sPL20XDuuJ4Eh3g2Ws9pkIT2liLTkAlKPFlBaXAWAh6eW\nDl3C6NgtgpDwEwkQ7HY7VZVm7DY7Xj76Zq8n0TipK9dIPblO6so1LRLYDQZDJ6PReOCkbQOMRuMf\nZ3qzZtAigR2geMNvZH/4PipPL0dwj4trkfucCyf/wNhsduZ/tov9xwoBCPH3YNyIRHp2CGnsEoBj\nDP/db/ezKykPjVrBx1OLj6cWq81OZn4FAT467rm6M13iTl3Nb9umFLauS8bDS8vw67oQGOyFh06N\nVqPGbrdzaF82G1YfptrkSHyj1avR+3tQabVBaTXWasf24FBvPL11lJZUUVZiwlozl+Dk3oLmqCfR\nOKkr10g9uU7qyjXNGtgNBkMgEAT8F7i1zi4d8K3RaOxwNoX8i1ossAOU/L6RrPeXoPLwIOT/bsKv\nf39UHu41Yx4a/oEpKa/mvR8O0C7Sjyv7t0V3BrPXzRYrGrXKuciNzWbnx80prFifjNVmZ1S/tlx3\nWTtSc8rYnZTH7qR80nLKCANiUVGNnYPYsagUOkT5EW6yUZFbjlanpl3nMI5XVLM5OZ8qsyNoK4A/\nEKlW41MzM9/DS4uPrx5fPw/KSk3O8f34jqH0uSTO+ZpeYyxmR757rU6NuuZZ6tZTTmEFb3yxh2B/\nD+4a1ZEgPw+X6+fvQH4Ju0bqyXVSV65p7sB+JfAwMAjIqrPLBvxkNBofOJtC/kUtGtgBSjb/QdZ7\n74LViqL3wG/AAPwvG4JHbFyL3rc5nasfmOTMEhZ98yc5hZVo1AqWmiCsUSt0bBtIgK8ec045tqwy\n7BoVpd5aPIqr0KFQip0cDzUFVY4lfgN99QzpFU239kEkZ5RwMLUIY2ohZRVm1CqFu0d3YkCXCMDR\nJZ96pICtG445A7yhWwQDh7bH86ShAbvdzoE9mfz+yxHMNb0AKpWCRqvG20dHQLAXXv4e/Lwvk+xK\nM1bAS6/hjlEG+nUKb/C57XY7+TllpCUXOocQOvWIpHufGLS6+h+YzNUW9u3IID2lkIFD4/9SD8O5\nVFRmYs2O4wzvHYO/j15+CbtI6sl1Uleuaamu+ElGo/Htsy5V82rxwA5gLiykZMNvFK9fh6XAsQ67\nPq4d/oMGu0Ur/lz+wFRVW/hsTRL7UwpJbBNAj/gQurQLxEN3YlHD3VvS+H3NEaAmNW1iCNkqMKYV\nERnkxbDeMfRKDEGtqj9hzm63s/doAYu+2UelycrYwe25asCJjHZ2u50jxlw2rj1CRbEJD08NA4cl\nYOgajqIolJVU8evKQ6QdLUCnVxMdG+houVc7/lRWmqkoq7+kpXewF9uLKyi12BjYJZxbRxrw8nA8\nS2lxFTv+SOXYoTwq6qwVoNGqsJhteHpr6XNJHJ16RGK12Ni3I53dW45TVWkGHGsBXDm2G1FtA055\nzsP7czhyIOcvLwRUbbKQnVFCdGwgKtXZLSNst9t5/fM97D2aT8e2Afzzll6Eh/nJL2EXSLByndSV\na1oqsF8GTDAajXfUfL8amGs0GtedVSn/mnMS2J03s9ko37eH4nW/Ur5nN9jtKHo9vn3743/ZYDza\ntb8g12C/EH9g9mw7zpGDuVw8LP6M33M/nlPG61/spqDExGU9orj9ikSyCyr5dVc6m/ZlUV5lIRyI\nQYUKCIv2o0PHMLZuSKbaZKVNu0CGXGnA56Tu9UqrndkLNmCtNNM3NggPq42s4yUoikK5l4YD5Sb8\nffX0SwzBp8LC8UN52Kx2PL21tGkXREiUH5UahYLSajTFVaQcyMFituHr74G52kJVpQWNTo062IvC\nqmq8i6tRFBjxj07EdwwDoKK8mt9+OkTyoTwA/AI8uP6O3qf0PDTGbrejKAo2m42De7LYsj6ZynIz\nPfq14eJh8WdUz7W2Hcxh4Yp9qFUKVpudG4bGc8fVXc/q/5TNZqe81ISPn/6C/Flpbhfiz96FSurK\nNS0V2DcCdxqNxqSa79sD/zUajRefVSn/mnMa2OsyFxZSsnG9oxWf73jdSxcVjd8ll+I34GI0/vXf\nETfn5GBKSwFA0elQ6fQoOj2aAH+0QcEtWtbW+ANTWGrijc93k5pTRqCvnsJSEwB+3jou7hpBQUkV\ne415xNjsBFDzc6BS8G7rT1Bbf+fs/WqzDZPZislsZeO+LIpKTdwyogMj+7TBbreTkpTPxl+SKCmq\nQqVVkWOxEWi3o0ahWgGvGD8UPz1J6SXkFFXWK2OApwaDlx57QSWKWkWRTkVSRTXWmv2hWjXxdgWr\nxcImf7sAACAASURBVMagkR3w9Nby20+HqKq04B/qTanVhq2gkrAoX665pecpq/jZ7HZSskpJySol\nNbuU1JwyjueUEeGhpY1dobq8Go1Whd5DQ3lpNVdc14X2hjNbeKnSZOGJd/+grNLCzFt6svCrfZRV\nmnl12mX46V2bl2GxWElPKSL5UB7HkvKoLDcTGuFDv8va0aZdkEsB3m63YzHbThnauNC1xp+9k+UW\nVfLZ2iR6J4YysGZ47GRVlWbW/3yYmLhA/p+9+4yO47zzfP+tzrmRcyBIgg3mKAZROVvJtqSR89iz\n9qT17MzOzu7cu7P37jl7du/O7r3H4zBje+yxPY6Sg2TZspUDRYqUmMUAhmJCIHID6Jy7qu6LBpsE\nAZKgRAgE+P+cw0OwQ9WDh931qyfUU4tX1k76mhuhrq6FaQt2VVU3X/TYNlVVb7vanV0DMxbsxQLo\nOsljR4lse4v4gfdA08Bsxr18BfbGJjJdnaTOnEaPxy+5DUtZGc7WRWN/Athqa1FM1+667bn6hUll\n8nzn+SMcOj3C0nml3L6qnlWtFcXb3CbSOXYeGWDPnh4y4TT9GFzp3lGfuXcRd69tGPdYPq9xcNdZ\n9r/bTT6vY7GbUcpdHAkniSQL3epOu4WF9X4WNvip8Dk41hXi0JkRools8V7IJrPCqtZKbl5WQyKV\n419fPI7PrLDUYiE7NrfAbDFhq/OyrbtwxUILChUoNM4v48EnlmMyKWi6zruH+9m+tQNLMnfutAUF\nsJpMWHQDA4OI2cTidfWsXVjBy788hMmk8Pjn1065a98wDH7y/BFOHAsyz21HS+WoaPTzWtco1dUe\n/u6za7FfYtKlpun0dIY4cWSQrlMj5+czWE0kDANnvnCcqWnws+G2lnHDEcFwiuPdIdYuqsLlsJBM\nZPn9zw8yEkzgK3FQUe2hotpLeaUbq82MYlIwmRQURcEwDLS8Tj6vo+V1dN3AX+qkrNKN2Wwimc4T\nSWSoKnVOGOoBCA7E2P12B4lYhoWLq1i0tHpCz85k8nmNno4QhlEYYrHZLVhtZprnlROJpq74/tnq\nwMlhvvf7oyQzeUyKwt98chWLm0vHvSaVzPK7pwv/fwC33d/K0tUTF/+6lsepcz1Xc9F0BfvPgS7g\nLcAMPACUqqr6mcu9b5rMeLBfSIvFiO7aSXTHNjJnzxYft1RU4Jy/AHvzPBSrFSOTRc9mMLIZckNB\nUidPoMXP/x6KzYatrh57fQP2+gasVVWY7HYUux2TzYbJ4cBSVj7l8J+rwQ6FL3AincdzwbK4k0mm\nc8RSOeKpHImxvxUUbFYTdqsZm9XMguYyzLp+yW3EIml6u0IsaKvEarMUW8xWi4m6Cjemiw4kumHQ\nPRjjSMcoHqeVdW1VuB3ny7lPDfLPv23HoSis89hxOK0cy+ToDqWoLnPx0MZmXt3dhXs4hQ8Ff6Of\n6tZydu3owpvJY0EBpXAyYDIpmE0mFAVKK92k/Xa2qUFSmTwWs0Kt1UJNWkOzmjCa/NRVeVi5oIL5\ndb5xY++JWIbe7jC9nSE6To2QGZsPYDIpuDw24tEMKNBvGLSuqOFzDy4uvjeX1RgJxjl1dIiTx4ZI\nj530+Eoc2Mqc7O+PMpgqTH606Qb1KJSOnZbUt5Tiai5hz6lhTvZEAGiu8fJvH1nCG88dITScpKLa\nQzyaJp3KT+WjMY7JrGB12+iPZ4joOhmziYpKN001XhqrPJhyOv1qkHBf4XuiKBRvjNQwr5TA8hrq\nmkpwe2zjAiMWSXPkvT6OHeybtFxWm5lla+pYub5x0uGUdCpHIpbB5bHhcFrHbVvXdWKRNCPDSUxm\nE/PmT7yMdKZous6vt57hpV3dWC0m7l3XyCu7u3HaLfzfn19HZUlh3lEykeV3Pz/IaDBB69IqejpC\npJI57nwwQNuK8S33a3GcMgyD08eDvLvlNFW1Xu5+eDGWS5x8ztbwn65gdwL/EVgPGMA7wDdUVU2+\nn0J+QNdVsF8o3d1FPhzC0dwyrlt+MoZhkBvoJ3nyBOlTJ8n09JDt68XIX/oAZvb5cK9chWfVGlyL\nl2CyXXoMdjYEu5ZMMvrC89jqGvBtuvmSJy3Z4BAWrw+T49pffjYT9XT4zAj/9OvD6LqBokBeM7hz\ndT1P3rkQu82Mpuu8vqubo9s6cRigURgGwKywdE09GzY3Y3dMflKTyuTZdrCP3ccGiSVz+GJZynUI\nYtBJ4XteYrfQVumhzGomE04TDZ1vXeomGNUNbt3czM3rm7BYzZw8MsiubYUWbR6D8hovVgPi0Uxx\nUiAULkdsWliOpczF1mMDdA7GsVlMPLChifvXN3Ho9AgvvNtJKJigAQUfCjkMOjCoay7Fabdw6ESQ\nZWYzVs1g+bp6Nt+9ECicfAQH44SGE+TzOoZhoGsGkXiWnKZT4rXjdlmxWMygQEfHKJ1dISx5HRMX\nBCcGCSAHlAAmFBIYnMUgCdRYzNRZzXBBYNsdFsoq3ZRXuknEsnSeGsYwQLGYyLmtNNb5qCtzkctq\nZDN5ejpDxKOZQsCvrWfV+kYy6TydJ4fpPDlMf8/5OyuazQpurx2Xx0YqkSMWSaPr54/HplIHH318\nGTUV1+ZKitFomh37e2lp8LFs4aWHaFLJLLmsNtZbZNA3kuS3Ozo41RelqsTBlx5eQkOlh3eODvDj\nV07QUOnm7z63Fj2n8/zTBwgNJ1m+tp7N9yxkNJjgt08dIJvJc/cji2ldcv5Kkw/6/YuGU7z96km6\nz4wWH6trKuEjjy/DZh9/R/KzHaNseVGlvMrNvY8umfD8OX3DCRLpHOU+B36PbdJenqtlGAbhkSSD\n/TEwjEJv01ivU1WtD6///LFtNJomkyv0dulG4b2rl9ROz8pzgUCgDGilEOzHVVWNXu2OrpHrNtg/\nKEPTyA4Oku05S250BCObRc9k0LNZ9ESc5LGjaLGx1oXNhr2xCSOXK7wum8HI5bBWVeOYv4DqVUvJ\nVtRjKZvaeOYly2QYxHbvJHP2LGUPPoTZdflrxacqc/Ysfd/+J3JDgwA45s+n6tOfwzGvpfiadGcn\nI7/7DYmDB7CUlVPzb76Eq23xpTb5vnzQA4ueThHbu4dMdxelH3kYa2npld8EqN0hvv7MIWxWM//m\nwTZWLJi4UFD/QIznnzoAhsHKmxpZu7ERq23yg9GlaHmd5366n+BAHH+Vm2gohZE730OhYZA2m3CW\nOrH6bOw8M8rGJdX8yaNLx20nn9fYt7uH3dvOYEFBx0AzmbA6LDg8NhIWhY5omtAFVxhsXFLNE3cs\nGLcegGEYHDw9wqu7uiCUwZvIggGrNzaxbF09P/veHvR0noTDzB9/aT3+i1YXzOQ0jnWFxtZKGCZ8\nwf7cDgv1lR5sFhPtHaMowC3La7lzaTXJSJqhvhiDfVFGhxNggM1lpaK1HHelG92AgZEEB0+PEIpl\nsAPlgM9swomCWTOKpwdJBQYMnVHg3JFzzaJK/vCBAD6XjZISF9teO8F7O7tJJrKYTMq4sHaVOnB4\n7JgBPauRimdJJrJY7WYSukE0p5EzKZQpCnbNII1BWVslj97dSqm3UB/pVI7Ok8OMDCWK283mNUZj\nGWoa/axaWYf7gh6tvuEEL+7oYPBYkLKx/z+zz8Eddy4g0FaJoiikUzlOHw9y/PAAQ31TO7xbbWY0\ni4mhZJaychdlhkJ4NMmKdQ3cfPeC4rEnOBDj+acPkMtq3P3IYuYHKjGbTVRWehkcLOzraq7gON0T\n5u2tZ8j0xdA1g4Z5pWy+ZyG7t3XQcWKYqlovDz25AofTiqbp7NrawcHd53tUK6o8PPjkctwXfL6i\nySzPbDnN9sP9xcdMikKJ10Z1qYt71zWycmE5+ZxG56kRrDYzjS1ll1z6Op/X6OsO03VqlK7TI8VV\nNSerw7seaqNlUQW/ePMUr+45O+E1v/vKR6elxf7XwP8FnKAwrLcQ+K+qqn7rand2DczZYL8SQ9dJ\nnzlN/MB7JA68R3ZwYGxSng3Fbkcxm8kFg3BB17LZ68VWU4u1uhpbdS3Wqkr0ZJJcMEh2aIhccAgU\nBf/mW/Ftunlcqzhz9ixDT/2E1MkTAFgrKqn90z/H0TJ/XLmyQ0MEf/EUyaNHMPsLEwMtZWVYy8px\ntMwv9C5csN3Iju0M/ezHGNkspfc9QD4cIrZ7FygKvltuxbd+I6HXXilchQDYGxvJ9PaCYVB6z32U\nP/Y4Jmuht0LPZUkcOED8wH4czS2U3HPvVc1VeD/Bbug6KfU4kXe2E9+3FyObHatrH7V/+udTPvmI\nJbNYLaZxlwVCYXgn09tDpucsqd4+LD4v/g2bsNfVXVU5z4mGUzzzw31k0nkcTis1DT7sPgejeY2+\neIYzA7HibX6ddgv/8483TAhUKNTV1l2d7Dk6SG8oSe9wglRGKz5f6rUzr8bLvBovyxeUM6/mylc+\nDPVHee23R4mG05gtJrS8jrXCxTvDcWrLXXzp4SUMjiY50x+loz9K10CcvFb4fHucVpbPL6fcb6dv\nuFCeoVASw4CWWh+fvW8RLbUTy5DLakTDKUrKXRMOyoZh0BNMcOj0MEc7Q4zGMkTiGbJZDSeFBTx8\npU6WtZSztMlHWbiXX53Mc6Q3gc9t4wsfaePeTS1094Q42jnK4b29xPqjJDWDEUMnDFzcJ1fms+N1\nWukaLMzJuXlZDR/f3IzHbPC7l08TPBNCx6DfpFBV7sKd08lF0lzusB3HIOW1UddUQiqTp/PUCM0o\nWFGweW0kkzks59accFiorvHS1xUqbjM6NjfFrCi4HRZcdgsehwW/2wZjpzgGBvFohvBoEv2C2zuv\nuKmBm+9aMKFB0d8T5vc/20/eKNS52Womb4JYVkM3DKyKgoXCWK/JpNA4r5Sly2tobCnDZrdgGAZ9\n3WF27uymryOEBchhkPTZ2bCpiU1La1BQePE37QycCaFZTPSYoU4Da17H7LDQtLqWbDBJ76kRvD47\nD31iBf5SF1sP9vHrradJpvO0+J201HqJ5XVGU1lCsQyj0QwuYL7LhjurF1e/tDksuCvd9GZynI2l\nubWtmnleB33dYfp7IsXXKWaFEU0nioHFYua+dQ1U+B2kU3n2v9tFPqfjqvOytS9CdamTtubCgJWi\nFIbe/sNn1k1LsB8EblNVNTL27zJgi6qqK692Z9fADRvsF5tsvEjPZEh3dWIe7GHk8FEyZ7vJDQ9z\nqaOAYil8YdA0TE4nvltuw7fpZqLvbCf85hug67hXr8FWXUPolZfAZKLy8Scpufc+jGyW0ZdeIPTy\nixj5PNbqavRMBi0SGb8/sxln6yLcy1eQ7e8nun0bJqeTmi/+CZ5VqwFIHj/G0NM/I9vbU3ybs3UR\n5Y9+DGfbYtIdZxj4/nfJDQ5iq6un/NGPkjx6hNie3eip813JzrbF1HzxT6bccr5csGvJJJG3t5I4\ndBA9lULPpNHTGfRUshjm1soqfDdvRrFaGX7uWdB1Kh57gtIHHjx/rb2ukznbTXagH1fbkkmHaXKj\no4TfeJXorp1o4fCk5bE3z8O3cRPe9RuvONRzsejAKLmcRllDxYTPjGEYjPQO0bvvEP6qcpo3rp60\nl+fiujIMg+DpbkJ79uBvmUfV6uWY7OdPCAxdJ3n8GNEd20keP0bFxx/Df8vE+bbZTJ6tL5/g1LEh\nFq+s5bb7W/nlltMTWi4mRaGhys3SljJWLaxgQZ1/Qisvm9MIxzNUlDgnzH/4IDJZjUgyi8Wk4FOy\nRLa+RXjLm2iRMPbmeZy47RP8avcAec2gucbL2cE4unFusSYTNWVOKkucVJUW/raYTfQNJ+gdTtAb\njBOOZ2lrKuHJOxZQ1n2E4eeeRYvHqf3jPyPobuS13x0rLrEMheAOYRDjfK9BXYWbRXU+ImcjZEPp\n4utyQCmFrt8Nt7Wwcn0DhgEvvXWag/t68euFoZ4kBiMY2MpcbFhRy/L55dRWuK7YFa3rBgMDMb7z\nzCEiySy6w8KKhRWsbq1gaUsZul6YlxJ+6fdY2g/RU7KYhMXLiKMCs6IUhpnGfg9dAQ1QDAPr2OMm\nk0JNg794gygoDKVUNpUwYlU4cGYU3TCw28wYukE2r9OEQvUFQzBBDLoxONfkqaVwaaxhUoh6zKRH\no5SaTDjMdnTj/PtMZgWv30Fe00lECvvOYKD4HVgU0MLpYjkNDJQL9llW6aam0c++3ghHBmNUl7m4\ndWUtz245TZUR5/Ot4B3qIumv482hKrSMRsqi8LkvrKOi3EU8mmE0mGB0OMF9jyydlmB/WVXVBy56\n7Neqqj52tTu7BiTYp+DCg7Cey5ELBskNDpALDmFyubFWVWGtqMRSUoIWixLZtpXwW28WQnmMtaqa\nqk99BvfyFQAkjh5h4HvfQYtGcS1ZSnZokPzwMOaSEqqe/BSem9YXZinn8+TDIXLBIEn1GInDh8l0\ndRa3a29sovbP/wJbVdW4MhuaRvitN0l3duDffCvOQNv4iUWZDMFf/YLIW28WH7OUluLdsAnP6jWM\nvvQCiQPvYXK7qfnCF/GsXjNp3eQjERLth0m2H0IfCWJpaMbZ1oYr0IbFX0JuZITw668SeXsrejoN\nijI2kdGByWHHZHdgb2rGv/kWHAtbi2VMnTpJ3z9/Ey0cxr16Dd41a0kcaSd5pL04hIKi4FqyFN+G\nTbhXryE/PMzoqy8Veiw0DbPHi2P+fOwNjdjqG7DX1ZPp7yW2810S7YcLvTGKUugJWboM97LlhbUU\nLl7YR9NInzlNov0wiSPthfo3DCxlZdib5+FoasZaUUm64zTJ48fI9vUV3+tsXUT5xx/HtShwyc9U\nLhhk5He/JbrznWIPkWKx4GxdhGvpMvRkkui775APjRZ/bwyjcNLzkYcmnDhkh4fpf30r1ugweixK\nPhYlNRIibbaRW7iU0vUbaFzVNqF342KGYZAfHUWxmDG53Jisl59gee498X17yI2M4L1p/aSXohqG\nQaazg/DWLcR2vouRz2NyOrE3NpE6oWKtqcH8h1/mBzv66QkmmF/ro625lMXNpSys92G1XP6SvVxe\nI6seY/jZX5Hp7kKxWMBkwsjlqPzEp7BtuJ1De3sw2cwoXjsDsTSd/TEyOY2VCytYu6iS8gvGaYcH\nY+x5u4POU4X6ryoxc9fjqyitvOCGSrrO0Lu76HzuBczJONmm+dQ/eD/NKwITyjdpvWkaKErxszcU\nTvHyrm4OnAwWh0jOrYOwOqJyf3AXYYuHM2ULWDN0kHxFDW3/47+R1wpXOVgshe3Edu/k7K73+FVm\nPnnNTq3NgimroZhNDGkaCauJLz25ktbGwlUVoViGbQf7eKe9H6vFzOLmUhY3+kkc7eJMR5zVC61U\nz68gbPczlIKh/lHSp05gDEWIOZtBOf/dcWajlCd7sOg5clVNZEvriMVzZLMaLa0VlDb42XYqyJGx\ne240VLhYXW7HfPI04ZQZb3YUJRslYWj4muvojWpk4gnmldlYP9+PEg0TPnQYU2z8yXvQVsp7TR/B\njA2Hy4qu6cV7aAD81688Mi3B/k2gHniVQk/JncAohUl0qKr6g6vd6QcgwT4F76uLOZ8ntm8PsT27\ncc5fQMm99xW7vM/JR8IMfO+7JI8dBbO50DX+yKNXXIkvH4kUAi6dwn/LbZed+HcliSPtJI+241q6\nHFfb4uKBxTAMIm9tIfjLpzFyObwbNmIpKwddx9B1jHye9JnT404yFLO5cIAaY62sIjcyDLqO2V9C\n6d334L/tDsyeqU1eykej9H/326SOn79nktnvx710GbaaWuLv7Sfdcaawb4ulOFnSVltH6f0P4N2w\n6ZJhlI9GGd25neFd27GcHSgGqsnlxlpRgZHPj/3JoSUSGJnMWAHMOBcsxGS3k+7qRIuOHz9VbLZC\nIAfaSJ0+ReLgAQBcy1ZQ/uhHsfhLMHI5SjxWRvpHib67g8iOt0HTsNXVUXLPfYWTuPbDZM52F7dr\ncjjwrt+A7+ZbMLvd9Hz1K+RHRyi55z4qn/wkismEnssRfu0VRn7/fLEXBMDkdGL2+siHQ8XHLRUV\neFavxVZbi8Xnx1JSgtnnL8w/OaGSGvtTPIka+93Mbje22jpK7roH94qV406CMn29DP30x6ROqGNv\nUHAvW47/tttxL19JdmiQ2O6dxHbvLs4HsVZWUXLPvfg334JidzD8zC8JvfISlrIyGv76P1K1pJVw\n6PzY9zm5kWHi771H/MB+coMDKDY7Jrsdk8OBns2S6ewAwLthExUffwwtnqD3H7+KFongv/Nuqj75\naRTz1K7pTxxpZ+ipnzAaypKyeqlMdGMtLS2snLlpM0n1GKMvv0huYAAUBbPHixYrfC6crYvw33kX\n3jXrCicYFzF0nchbbzL83LMYuRyWsnKs5eVYyiuwVdfgWr6cPpOPg6dGaO8YYWHoNGvaX8ZweSj7\nq7+loqWB4FM/JfLWm5SsWknln/07FIuF3Mgwgz/5Ecn2w4X/Crebna13syVegttqIpnTKfXZ+Q9P\nrqLuEneL1LNZYrt3En7j9XGfxXPMHi9aIl7sURzxNtFXtZJqn0FDlY3S2lLMHg+hV18mdUJFsdko\nf+RjlNxz77jvZfdgDJNJoXSok4Ef/AtaJFKY86TlyQ4MjBsOvZjJ7SbbsIA3wm66ndUsD59kffgo\nCtC35mOcSZfh8topr3QXJ22u3zx/WoL9h2M/nnuhcsHPqKr6R1e70w9Agn0KpnO2t6HrxPfuwd7U\nhK1m8oUnZlKmt4f+7/7zuG79oguGBdzLVlC/vJWefe0kjx8nqR4nfeoElopKSu+9H+/6DeRNMJAc\npNFTP+VJiIamEdm2FT2Txr10ObaGhnHvzQ6OhcW+vVi8XkruvQ/3shVXnBuQ1/N8471/4XSkg1vL\nVvOQvohk+2ESR9vRYnEUqwXFbEGxWjDZHYXfc9lyXG1txRMvwzDIh8NkujrJDQexNzXjnL9g3AE8\ndfoUw79+hpR6/JJlsVbXUP7ox/DetH5cufORMMmjR1HMZtwrV43rms+NjtL7ta+Q7evFu2ET3g0b\nCf7iKXKDg5i9Pioe/wNci5dg9nnPz6HIZEgcaSe+bw+JgwcKPSiXYSktxbGgMJNeTyTREnG0ZIL8\ncGFVP2tNTeH/du1NjL78IqHXXgFNw71qNe6ly4m+s/38iZfdgZEp7E+x2fCsWo1346ZJ/69GX3qB\n4Wd/heZy0PfoWtZUr8WSyqEl4uRDIRLth8l0d50vZ3k5RjaHnkkXT1xcS5ZS8cST424ZnRsZofcb\nXyXb24N7+Qo8q9eSGx0mNzJCfmQEI5fDVltX6OFpaMDi9zPy/G+I79sLikLJXffg3bCR6LvvEHt3\nx/j6M5vxbbqZsgcexFpVTeLQQcJb3iB5pL3wtL+EkrvupuT2O+nRQ/TE+lhj1BH8yY9Inz6FyeXC\nVl1Dbni4eFJQ/HxUVOJetQprVTXBXzyNyWaj4T/9n8XfzdA0+r75DRKHDuK75TbsDQ2FE4VMBteS\npbgWL2Xkt7/GyOcJrbiFH6RaqCr38NdPrpxwcyZD10mfPk38wD4iO7YX1g8xmfCsXoN3/Qa0aIzs\nYD/ZgQHSg/1YvD48S5bhaluMY8HCSU+kDcMg9u47BH/1c7RYDGt1Na4ly3A0NWFvasZWXc3Ib39T\n+PyYzfTfuphdi2x8vPVhFngaSPf0cGRnO24LNDRUYHI6MTkcmD0ebHX1KCYTrx87xK87nsOUd/Gf\n6u/FeO4XZAf6sVZWUvun/7Y4kTidT9NYWyn3Yxez43K36aTncoUDqWGAyYxiMqGYTVgrK8f1LlRU\neBgennwhoVg2zrcO/oDuWA9PtD7KnY23fFjFn9Qv1OfY1vsuZsWMZmh8fsknWV8z+XDDB2UYBsmj\nR4i+uwMAxWrF7fOQ1gqTGb3r1k+59ZjVcgwkB6l310IyRe8/fo306VOFJ8fCJ3z7KnaG25nna+Sm\nmtU4LRN7gHpDZ+k7spdG3YstkSUfjaBFwijWQo+DMxDAWlE56QlY5uxZQq+9THTXzsKCUmNDA5ay\ncqo+/dniXI9zr428/RbxgwewNzTiXb8Rz6rV405SLpbKp3n9l1+ldYuKabLDqdmMa/ESPKvX4Fm5\nCkvJ+Tkg53qTzvViRbMxnjv1AoOJIB9f+CDzHXX0f+dbxZZs8X2KgqGASZ+4w0RdGfGHb8UzbyG6\noXM60kln8BTeI50s7E4zUmKhe1UD85qWsaRsEa2lC7Cbx1ZmHBwgvOVNotu3oafT6BYz7fNspO0K\n646lMOkGnnXrqfrUp7H4C93hejZLfnSEdGcH8QMHCsNcYycRitVKzV/9ewZrXJwOdxDORGjyNbLA\nUUfu298jcaZwImVyu6n65Kdxrd+Aho7R20//P3+L3NAg1pYFlN53PxabDcVsRjGb0eJxEocOkjh8\nqLgmiOJ2Y795I/ZbN6GUlJDIJTkd6eB0uJPTkQ4SuSRmxcziskWsq17F8oolOCx2slqO05EOjo2e\n4GToDGWOEu5o2EyLtYqR554lsr3QQzWhnkucPL/RyVBZ4cTYrJj5ROBjbK7bcMnPiqZrvNz5Bi93\nvYluFFr2rSXz+bMlnyP2+xcIvfISitlM1Wf/kL4lNXy//Wf86PF/mJYW+6eBv6VwC9dzOzBUVW26\n2p1dAxLsU3CjB/vlDCSGeG/oEPuHDjGaCXF3423c23wnVtP5VmswOcI/Hfwew6kRzIoZA4Mvr/wi\nbWXv/07FOS1X6PZUTCgoV3UZ4o6+XTx1/Fnq3DV8fskn+er+b6MbOv/HTX9JjXvyO9BNlW7oDKdG\n6In347W6WVgy+f0PKiu99A2GGE2HiGcTxHNx4rkEqXyaUrufSlcFlc4KnBYHqXyaI8PHOBBs58io\nSlbLUuEo4yMt97C2ZAnDP/kRWiKB66MP8/v0QXYN7Cvux2aysrZ6FbfUb8BjdbN38CD7Bg/Qlyjc\nYNJtcfHJtsdYU7Xiqn/XfDhE+M03iB88gHvFSsoffhRsVgYSQ/QnBhhJhxhNhxlJjxJOR9AxvNOu\nYwAAIABJREFUitfBK4qC3+5jXdUqVlYuxWEptBwHEoN89/CPGUwG2RQro3VI53iyF81pY8OCW5hX\n24ZjXgtml4usluNk+AzJXJK2sla8tvNDPIZh8G7/Xp479XuS+fMTQjfWruNjLQ9gvHcYQ9MZtGd5\nObKXkwxjACUxjYpwnopwHn9Mo7vWxtH5jsLJywUsJgvzfI3M8zUxlBxGDZ0ko41NAjVZWFa+mHXV\nq1ha3obVbKVr6BS7nv8+LYcH8ScKARRzmch/9F423P2py9ZzLpum4723GT24F7VGYb8vSl6fuEZH\nne7m/rdGSJe6eW99NYOmJOFMYZ5Pg6eWNlczgTdVzIcu3XuUdlvprHdwosZEd40NzTL596rUXsJ8\nfzODySA98b6x39tKo7eOs7FecmPlMymmYuA2euq4q+k2VvoDDJ05yuCpwyS7OjANBOktVXhnpYfG\nsmbuaNiM2+bmX9ufIpFPckfDZh5b+DBm0/iT32ByhB8dfZqOaDel9hI+u/gPeLt3JweChwmULuTP\nVvwRuWPH6P/ud9CTCQ4vdLJ9nZ+ffuqb0xLsJ4EvAuMGLVRV7bzanV0DEuxTMJeCPZ5LYDPZsJmv\nPBHqUlL5FG/37mTPwHvFgLAoZpxWB7FsgipXBZ9c9BiBsoV0x3r41oEfEMvFeaD5LpaUt/H1976D\nw2Lnb9f9JRXO8auBHR4+yt7BA/htPqpdlVS5KqhyVRLNxumIdHIm0k1HpJPh9Oi495kU09jBZh4L\nSuaxwD+PGncVJmV8N++ZSCdf2/8dHGY7f3tTYf/7hw7x/fafUuuu5m/X/Tts5vNzFrqiZzkQbC9e\nNWFSTIVtGgY6Brqhoxs6GS1LX7yf3ng/aS1TfH+Nu5o7Gm5mfc1a7GYbuqFzMnSGQ5HD7OzeP+61\nk/FaPaTyKfJGoYVT6Syn0VvPoeAR8oZGlauCB+fdS1pL89vTL5PKp2j01vPR+R+hK9bDO327GEmH\nxm3TophZUt5GnaeGN7q3kdNzrK9Zw5OLPjqudZ/X8wwlh4lkokSzMSLZwt+aruG2unBb3bitLmxm\nG73xfjoiXXREuklrE7v4HWYHFpMZwygs16sbRvF1VpOVlZVLafI28ELHq2S0LHc33cZH53+EmuoS\nXjy8jZ8df4acnuMj8+7Bb/fSPnwcNXSKnF5Y1EdBYb6/meUVS2j2NfJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotwins('Cincinnati','Purdue')\n", "plotwins('Oregon','Oklahoma St.')\n", "plotwins('North Carolina St.','LSU')\n", "plotwins('San Diego St.',\"St. John's\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A couple of things jump out. First, the green line: KenPom has Oregon ranked below Oklahoma State, so the curve approaches 50% from below instead of from above.\n", "\n", "Second, just eyeballing that, it looks like we could make a legitimate argument for almost anything between T=1.0 and 2.0. \n", "\n", "What does that do to \"clear\" matchups? Well, Kentucky is a big favorite over Kansas with this model:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-0.8176307825952608" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MarchMadnessMonteCarlo.examples.log5_energy_game('Kentucky','Kansas')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZvLaikKVrirl+zohglyQiIn2ckz32LwINwIN0HIY/CHwpkEXJpy6fnkNyQjRvrDxAWVVT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\ndhfXsHnvESIj3NxyyUhd+98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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotwins('Kentucky','Kansas')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If I pick `T=1.5`, I get Kentucky, the favorite, winning 60% of the time. You can feel free to choose a \"saner\" temperature, but I'm rooting for KU here!\n", "\n", "## Running some brackets!\n", "\n", "So what does a bracket happen to look like? Well, in the original blog post, I mentioned that we came up with two different ways to run brackets. It can take a while to run a bracket, so a fast way (implemented as `runbracket2`) is to run separate brackets for each of the individual regions, then take the winner from each region's most common bracket to form a Final Four. Below, we do just that, running 10,000 trials for each of the regions, and 1000 trials for the Final Four." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "YOUR LOWEST ENERGY BRACKETS\n", "LOWEST ENERGY BRACKET FOR REGION midwest\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Wes (5) Ken (1) \n", "Butler (6) Tex (11) Not (3) Not (3) Ken (1) \n", "Texas (11) \n", "Notre Dame (3) Not (3) \n", "Northeastern (14) \n", "Wichita St. (7) Wic (7) Kan (2) \n", "Indiana (10) \n", "Kansas (2) Kan (2) \n", "New Mexico St. (15) \n", "Total bracket energy: -10.5524230049\n", "\n", "\n", "LOWEST ENERGY BRACKET FOR REGION west\n", "Wisconsin (1) \n", "Coastal Carolina (16) Wis (1) \n", "Oregon (8) \n", "Oklahoma St. (9) Okl (9) Wis (1) \n", "Arkansas (5) \n", "Wofford (12) Ark (5) \n", "North Carolina (4) \n", "Harvard (13) Nor (4) Nor (4) Wis (1) \n", "Xavier (6) Xav (6) Bay (3) Ari (2) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Total bracket energy: -10.8592988759\n", "\n", "\n", "LOWEST ENERGY BRACKET FOR REGION south\n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Uta (5) Duk (1) \n", "SMU (6) SMU (6) Iow (3) Gon (2) Gon (2) \n", "UCLA (11) \n", "Iowa St. (3) Iow (3) \n", "UAB (14) \n", "Iowa (7) Iow (7) Gon (2) \n", "Davidson (10) \n", "Gonzaga (2) Gon (2) \n", "North Dakota St. (15) \n", "Total bracket energy: -10.5015086048\n", "\n", "\n", "LOWEST ENERGY BRACKET FOR REGION east\n", "Villanova (1) \n", "Lafayette (16) Vil (1) \n", "North Carolina St. (8) \n", "LSU (9) Nor (8) Vil (1) \n", "Northern Iowa (5) \n", "Wyoming (12) Nor (5) \n", "Louisville (4) \n", "UC Irvine (13) Lou (4) Nor (5) Vil (1) \n", "Providence (6) Pro (6) Okl (3) Vir (2) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -10.8839299775\n", "\n", "\n", "LOWEST ENERGY BRACKET FOR FINAL FOUR\n", "Kentucky (1) \n", "Wisconsin (1) Ken (1) \n", "Utah (5) Vir (2) Ken (1) \n", "Virginia (2) \n", "Total bracket energy: -1.95692907302\n", "\n", "YOUR MOST COMMON BRACKETS\n", "MOST COMMON BRACKET FOR REGION midwest\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Pur (9) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Mar (4) Ken (1) \n", "Butler (6) Tex (11) Not (3) Kan (2) Ken (1) \n", "Texas (11) \n", "Notre Dame (3) Not (3) \n", "Northeastern (14) \n", "Wichita St. (7) Wic (7) Kan (2) \n", "Indiana (10) \n", "Kansas (2) Kan (2) \n", "New Mexico St. (15) \n", "Total bracket energy: -10.3577160931\n", "\n", "number of times this bracket happened: 11\n", "\n", "\n", "MOST COMMON BRACKET FOR REGION west\n", "Wisconsin (1) \n", "Coastal Carolina (16) Wis (1) \n", "Oregon (8) \n", "Oklahoma St. (9) Ore (8) Wis (1) \n", "Arkansas (5) \n", "Wofford (12) Ark (5) \n", "North Carolina (4) \n", "Harvard (13) Nor (4) Nor (4) Wis (1) \n", "Xavier (6) Mis (11) Mis (11) Ohi (10) Wis (1) \n", "Mississippi (11) \n", "Baylor (3) Geo (14) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ohi (10) \n", "Ohio St. (10) \n", "Arizona (2) Tex (15) \n", "Texas Southern (15) \n", "Total bracket energy: -9.30614882152\n", "\n", "number of times this bracket happened: 13\n", "\n", "\n", "MOST COMMON BRACKET FOR REGION south\n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) St. (9) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Uta (5) Uta (5) \n", "SMU (6) UCL (11) UCL (11) Gon (2) Uta (5) \n", "UCLA (11) \n", "Iowa St. (3) Iow (3) \n", "UAB (14) \n", "Iowa (7) Dav (10) Gon (2) \n", "Davidson (10) \n", "Gonzaga (2) Gon (2) \n", "North Dakota St. (15) \n", "Total bracket energy: -9.78926932204\n", "\n", "number of times this bracket happened: 9\n", "\n", "\n", "MOST COMMON BRACKET FOR REGION east\n", "Villanova (1) \n", "Lafayette (16) Vil (1) \n", "North Carolina St. (8) \n", "LSU (9) LSU (9) Vil (1) \n", "Northern Iowa (5) \n", "Wyoming (12) Nor (5) \n", "Louisville (4) \n", "UC Irvine (13) Lou (4) Lou (4) Vil (1) \n", "Providence (6) Day (11) Okl (3) Vir (2) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Geo (10) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -10.5204279257\n", "\n", "number of times this bracket happened: 11\n", "\n", "\n", "MOST COMMON BRACKET FOR FINAL FOUR\n", "Kentucky (1) \n", "Wisconsin (1) Ken (1) \n", "Utah (5) Uta (5) Ken (1) \n", "Virginia (2) \n", "Total bracket energy: -1.78538460124\n", "\n", "number of times this bracket happened: 176\n" ] } ], "source": [ "results = MMMC.runbracket2(ntrials1=10000,ntrials2=1000,T=1.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, not looking so hot for my Kansas, but the code is working.\n", "\n", "Let's visualize the results, then make a table of results, as per [538](http://fivethirtyeight.com/interactives/march-madness-predictions-2015/#mens)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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u7qEXibs3bjrwbBF5lar+NhVHT08P27Y9kPpTV9HbO6Hry2Fl6AyGQxnAlaOT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BAAAg\nAElEQVQzWhv6ADMrTbn5tjtzA5r4giFQKTiJwwX8cITRHF3C+hgbt+5m8/qVbNmwqh5t1DdF9Mv1\nzQudGWp4r6rkaaJCE0f/Xn4QFFeXsD57pw6xcevuaF7Jslx30aq6ELZ0cmEpU8U808c9+w7U+7oZ\n88yjtdnAKGsv2xHt/3A8OLJyYJ67aSeXrFlR3yg4d9POhvaOj402CN9ZAlZ4zIXndmMmr71+qhN/\n0e5/9jVRVfHzLo6PjdbNgV1uUEdMsxp7Hwdwn8owDMPoIMMoGBpGvzOQwiEkQk0ooLgFvPPjc0Li\nuZt2NrXw9Be4WcKJv/B10Rz96J2XrFkx51r/mli0Rmc6lYWfriGW6iJPuGwmvLNfPxc1M9zJdXUq\nm0bC7Vbv2Xcg1yzTlefSeri/Y76Ml6xZweb1KytvBBwTnB8bK25MlTWbPTw9Uw+17a517XURVWHW\n1zFk+sjMnHb4JlZOwHYRSY8pSAnh5zx0wmrZfIpZ+BsC00ca8zP60W9jvrRZ72NVrdugEL6nvj9m\n2XfyuotWNWwmwaxQ7pftjsVyUjptsr+wcnWILbacsO/K8iPvhm2JmZWGZYZ/u35x5Yb1GB8brX/n\nt9n/e/mSiQa/3dD/yJXr2hHrn7zNpbCs8Bn4feDq52/guLKzyPre+aXnnRv2pz9Gwucclu3GnXtX\n/Ry/rk15dS5K4ZO1weWXm1U/P9dwmVRSoZ+66ye/r8Kx5uqZ1c7w+Q6B1nCg2Lh1twmGhtEjBtKs\n9Ozzt9Vi5iahn0PM98Yn5j8TluUIy4ndPzR1DM0JY+X49/MfRcy8KjTvasYsKOZrEjMrbQZ/wnY+\nLBCP2FoUQdMRRt0EMv2jHGVNNF3Zk5OLon5iZcurGtk2a5wUmeCF0WFhVjitasLp18UJ5+2YCrKe\nV1nzYYDtVw28aelAmm75DImpjbWhTxiGdli00u6R91u4/arVAz+WYGjeCWtDH9CJuWkgd8KOGx/l\n2tcmC9BwEnHCl/sM8QAt/qLcTzjum1X6i9lwcesijDrCRXmY+89fMIeL5FjaCucsn5daw5l4hlQR\nEEKz0rLpI4ru4Zscur7wBUQn1LrPWT8GLiG8KwdmBe0soa2MkOM//+df/Mncc4sCGpX1x3JBNLI0\npUX+Vn67ss5rRrDPC1zRDGFaj3WX76iSq/OmtlTCMAzDGDiGJVWFYQwyAykc3vCWs+qSvi+kuAVo\nmSiMvjlgLGpbKGDEFt0u2mCYsNzhL+BDASesS0xgCM05fUZG5iZGd2xevzJzgg01eGE7Y4F0YoFp\nQpqZtMuY0znfR58qAlAsap4Txt0z8aMBxnBBhGBuTsYyATT8iI9hMJsqZr6dCFrjvytFbcnbOHD1\niwXnqdUaTakL2vG4klU3DMMwhggTDA2jPxhYn0OY1VA4fD8036fK93/yIynGfK6yFuuhrwQkC+tW\ng8e4ulRd9Ged7/sWxQjbHPq6hELq2IJRbtmfHyQn5i9TxfevVd+3PH+eZYsn5rRp79ShaLCdPFxw\nmVjOwphvl09W+1yKE79eeeX4QnqZvi1zjp+rsShtSBi8xn+fXICdrHHpH3fpB5oNIGQYhmEMF3n+\nhSYYGkZ3GVjh0Gm4/LDdfi6rMChNbHEfLs7zWDq5sO7sD9kCiR9owl+c7506VBdS20kYAKbIfK8o\nJ5/Lheba4TRBToPnJ4tfvmSCU08+PlOgjgUiKVOnIqEmFCj2Th2ac8zVP1a3MCBQqxQFLnLjsEhg\n9stZtnhuoKFL1qyotzP0Tw1ZviRbUAtx2kCXwiSLWHmuzoenZyrnpPSDhHiYWalhGMY8wgLPGEZ/\nMbDCYYhL/F2Ev8DOKyvGxq275/jR+dHhxsdG676Ke/Y1mqY637mYsOJHiAvJimbpCDVZLkpmaL7o\nKCOw1WrZSa337DtQb8PeqUPc9tPmNacbt+5m49bdc+rkB10JhRUX8MQ/7jYCwjKc8O986hxjC7L7\nO8a6y3fM0UL7kSZ9oSjL5NUJiL7w6G9ouLLdWIhFuXWpMEJiQllMYHb4kWXDZxzWL1auG5Nh213Z\nZfB9cv1ItIZhGMb8wQRDw+g/BlY4jGgc6hoht4AeGYn7H7rFqB/tM0+DmLUQdixbHA/X7/BzGG7c\nuruh3v7nWIh4p/GMpe0ou5h2wlQojECjsOOTJVhBMpk77exvDsfNc4vwU1lkmXbesv9APUS9E1QO\nT880lQzcb9/SyYWVBBI/RyXMarxcXxZpYx2Hp2cazl22eKJh7LlgRa7vY5pG11du/GZtHLhyYqlF\nDk/P1PvAtSdWVlYfuzEZBleKCell8Xw5zefQMAxjyLFUFYbRvwyscAizQp7DLbZdwAw/CXiIv8AN\ncxOG+ZKcEOBrbZx2x78+ltA9THYeljN9ZKa+qHZaGScQFGlD/YA0vjYrFD5dIJSs8i5ZsyJXwGnW\nFNYXOprJr+jYvH5lbsL4GH7etFiEWKAeOTTMJVYFX5sMc3/UQiHeme36EWrd2IttPoQRSt3fTkgM\nA+SE91s6uTC6AbBn34EGH0L3PoSEee3KBHsqg2/ym/V8DMMwjOFj7WU72hrczjCM9tL1aKUicgbw\nIWCtqn4qPfZ7wDuAGvBtVf3LZsqu6vMUXuN/dgtpPy2Gn3Iha5HsjvvX+btjfrqIBceOcuvtjZFO\ns3LCFQVO8Rf2/qJ/+shMoR9iLIqmEypi0Sn96JvHjMC1r52N5hnTTGbVtyjypa+1DPvF1dEXjtwz\nmz4yE82t6Ng7dajhmRRFK3WUEYzO3bSz7qvp1yHUdvqpPFyd/HbkpfeAeBRXoOG5+fdx5/rRfWu1\npF7XXbSqwcTTv294nzAoTTOEGv3gve1LKVFE3go8gWTOvFRVP9bjKhmGMQSIyO8CHwM2qeq1IvIg\nYCvJ5v3twBpVnRaRFwGvBo4C71LVLSKyALgeOIlk7nyZqt7ai3aUxSKSGkb/01XNoYgsB84DdgVf\nXQ2cp6pPAO4tIk8rU56faB3mmrWVSRXga/HcZz+gjR/Yxl8Yu89Z2rGlkwuj/mEhzjw25v/l3ysM\nQBKaxvqEwqBfbpGA4+qxd+oQ527aOUdg9ifvzetXcvIJE5y7aWddAxYKD+su35EpUPgaXsfISPID\nETNn9dvshPWw/5ZOLqwLNO5HKPQzDQXvY0bi/o0hay/bwcatu+dEwo35P9ZqjUKPr/l0z8eNHZcC\nwuHndvTx+97X5o2PjXLc+GjDWHDPwz0bn7Cdvva7yETYaaDdv5AsM13/nmMLRhvGRVmz3F4hImcC\nv62qpwFPI5mvDMMwWkJE7glcBXyWZHMc4M3A21X1dOCHwFoRWQi8AXgScAbwWhE5Hngh8EtVfSKw\nEbi0uy2ohgmGhjEYdFtzuA94DrDFHRCRMeDBqvr19NB24MnAv+QVlKd1Cs/LEhDdAtwttKv4kIVa\nIL9MXwu0cetutmxYVZ8Ut2xY1aABc75lZe/l49/X11RuXr+yLlDWao0T8trLdsyZhDevX9lwfUxz\nCXOD38SegTNd9esAsxoqV4csnGmwa59fr7DNfv2zcPd17Qrz8I2MwLYrVzM1dTCz3T5+e107ly2e\niGrmfHzNp/MpdH6ssbyAMW1tKDA6gctp+9w1fv+GdTk8PdOQz9DXGhbhmzu7v8O6+zkhXb5QJ7j7\nwqA/LoIy+jEqzS7gP9LPvwYWisiIqhYaOPtjqlXzaiD33Yjh+vy6ixrnoKJ7LDh2lNe94BGZZeaZ\nUoe4985p0v15o8y1kN3GvDadff62wntkWTyEuDaHzzC8f1Z5/jvmuwL45/rPynHhNbu4+bY7gUZr\nirx+CevgxqA/N4V9klVvdx/3zrq8t1n95aeXckHN3Hg6cvdM9B6tUOb5Zb0z7rPLVQxzn2/Z8dEC\nh4GzgA3esZXAn6eftwMXAAp8TVUPAojIV4DHA6uA96bnfhFvbdVvmH+hYQwOXdUcqupdkQXV/YE7\nvb9/DpzY7D38/GnOJy9c/Drtj9OWQOPkH+aTc4vbUJsVK9elBAhxuXqK/KvcD5avDQu1MWGbYqk7\nyqaRcORpOn3/PZ9mcjzmCYbQmINw3eU7Gtq19rIdde1dFnkbAX7qk+VLJuZoKPPan0UoIGfl3cwr\nv+iebhHpayKd/2FM+C8iFHD9KKmx8ea47qJVDdF5Y2PMCb1+tFU/iFCWxrGfUdUZVXWdvw74VFXB\nEOa+t1XxNbzhuxEjb4Oo6B4333ZntK6xYFB55fkph2Ka7DLXZrUxr01l2hvzN4/ht9k/N7xHVnn+\ncb/t/rn+s3JC4satu+uCIcx+l9cvYR38MeiPRb/uWfX27+Pa7wdWC/GftQvite7yHfXxVKavq1Dm\n+WW9M2svm/0cPhM/QFi76xySzi2Hg8MLVfVI+nmKZD10QvrZ8XPv+B1pWUeBmoh03V2oCBMMDWOw\n6NgkIiLrgHOCw29U1c8XXFpKYL16/ZkNu6oAx42PcvX6M4HGHdcFx44yObmofjzUyiw4dpRz0h/k\nbVeu5ur1Z7L6gm0cTX/kjhyZqV8fXucfX3Ds7KL6uPFRTj5hgivOO33ONVllPP/iT9Z/wI8ZgYee\ndDyTk4s4JiKc+Nf53x+eTurq+ue2nx7g5BMm6n2x/arVc8ry++StH/wmp5w40dCv9xib7VfH8y/+\nZH3BcEyqfVt9QbJT/5FLzwLgE96xbVfOva+Pay8wu1POrJ1NuMh+6we/We/bC69JrJSvOO90Lrxm\nF8eNj9b9CO8xNspbP/jNOf3uynDX5S1SP5HW3d3Hpe+44S1n8fyLP9lwrr9w3n/HoYbx4Z6Juyck\nffX8iz85x+/xE1eunnOu/5yPGYGjJYWsvHOPGUmeuevfV75tJx+59Ky61sXnlW/byQ1vOaveH7Fz\nssZllkAoJx3P9398p1+/vrUxFZHVwFrgKUXnlnlvq+KPYf/dOGaEaJn+ObH6Fd0jVtesMrPKC/sg\n1idlrs1qY5lysr4raqsjbHPWuVnlhXNP7Dr/HiNpfWPXjZDfL2EdYv3tiNUv6/2N1Tnsg9j5sfHS\nyjsQllNUZtY7U1Ru2P9Fz7CDZD2FqsfrtKPvqxD7nYD4WqQs3W5DpxiGdlgbhpORWg+28UXkH4EP\nq+qnU4fqH6rqyel3LwEerqoX5hRRm5o6WPc5dOYuWZq90EzENwFcOrmwXoYjZi4XOxYzJYqZBoX4\nO9G+r2HMrHH5kok5ESljWjxfuHFlljVp8/vEb+fISHa+w7Cuvqmif6/YM4gJYn5fljEX9iORFpl0\nhvWrQtbOZswkyWnTskyU8gj7xL9v1rgIx22M2Lh1uHES9nlW2aFfbFjnmEnWLfsPMLYg+7lEOLj9\nqtXNhcftICLyVOBvgKep6q8KTq9NTR0EzKwUemdWWqa9/W5W+tYPftPMSnPoplnp5OSiQsGrWUTk\nr4EpVX2HiOwBHqaqh0VkJfAq4B+AV6jqC9PztwAfBZ4LfFBVP5eupW5V1aU5t6rPTd2gExrDyclF\ndLMNnWIY2mFt6A86MTf1Sji8nkQ4dNFKPwu8WVW/IiIfB65R1Tz7uNprNn1pzmK/7OIr/EEpY4oX\nw09HEFI2wIz/g58lGIWCTSgIh9eFQooro+gHNE8IjS1G/H7zhZCY4OaOZfn1VREO/b4tKxyG3xUJ\ni3k/XrGoqUCuQOxTRmCOCfjh9/6ixscJd9AoFDhiGykxISarTj7+Oe66ZvJQOrZftbpjC7BmEZF7\nA18GVqnqHSUu6eoCrBMMyQ+mtaFPGIZ2dFg4fBOJcHitiLwT2KWq7xeRa4BvAR8AvgOsILGu+Hr6\n+SySeenlIvLHwB+p6otzbtWVuamTgWeGYSzBcLTD2tAfdGJu6na00meLyHeAZwHXisjX0q9eA1wq\nIv9GokVsPV5+Dn5OtzKCYZjrrSp+onNo1OQUpZmA6jutoS9YURROd49YHkegwT/DCYmhD8bYgtGm\ncxr6PxZ+9NeseruALuH5ef5yftvcs4wliA/rU4YwR+DeqUOZaVViPkFFEUJjZOUvdM/N+QeG7SkT\nCda1ZcuGVaXGjuOW/QdKC4atvlNd5k+A+wEfFpEvpf8e1OtKGYYx2IjIY9M10bnAxSLybRILhZeI\nyC7gPsB7VfUukqA1nwU+D7wpDU7zIWBURL6clvFXvWiHj0UkNYzBpyeawzbQYFYKjQJRFeEkayLz\nc/05fDMUd58sTVdMExYzEY2Z98QiVTrNTkzr467bO3Wooc6hNrBIcItpNGOL/VBjmlUnVweYG1k1\nZt4UaifzBI1YW2LazyLN7PIlE1y9/sy6X4QTtIoiyGaZdYVaxfD7KsKTb0Lm56uMjcvwnq1E2QtN\n5bLaGvany+9YxtTVtS0cc5+4sv80h01gmsM+wNrQPwxDOzqpOewiHZ2buiEYDsNYguFoh7WhPxh4\nzWG7cREb3UKz3ZHFQt8DP49ibNHtIpuWnQSPG5+r5YqV6y/+szSNt+w/wPSRmYbrQ21gu9iz70BD\npNI87WeoVYPEf8XlM3TEIvDFfN58jVMsImBoOuqnxsgyI/Ud5osiQDpcyhCHy9sX5isMKaMphsa2\nu3QZrm57pw41tD3M1dlKlL1YlMewrTFcYns/mqn/vNy/UHOZ9dkwDMMYHExjaBjDw8AKh1XD92eR\nlVi8rFDlpwFw+fSAurmgb/YYJm2/4S1nFdapzKQaC4Pu16+suae/sHcLdXcsj7y8kKFJbV5di/DT\niYTCT5YZZ15yd990tgp5bfKFuliqB//5h2abvnlonsllmKLlkjUrOPXk49sS8CRG2N4YfludSat7\nXm6DIFa3UMA3DMMwBou8wDMmGBrG4DGwwmGIL6Q14/O2ZcOqXEEq6ztfo+gWt74WbN3lO+YsjPNy\nCoZ1gkaBokiD0yq+r5p/bMuGVQ3Cy9iC0Yak6LGFfRUN1ub1K+uCqWtj6EuXR6w/8wLOOB9FmBtS\nO6+fY20KI90WCeNZmjinUR0ZmatBjgm/vgbxivNOr19TZUMgJNwscXnKOpnryzAMwxhMLIehYQwf\nAysc+hPP+NhoQ4LbVhaxWRqOou9gdrHua9JCwckXLsIceUBmgJI8076YaZ4zc+xkIt+yJpI+Me0k\nJP3iNG+unn57/c8x4SfrubigMy7gijN3DM8Phc8y2rK9U4fmPKtarXicZOFrH8sEqfE1iBdes6uh\nvnlBcfLw7+vMtrPI2zAJ+y5rXLeyqWMYhmH0hrWX7TDB0DCGlIEVDoG6NuvwdHEQjE7hL8DdYr2s\n0PSbw42CbMzvzpEnrITCp2/m2ExuvyxC7VxR7ros4SGmnfR9GN1nvw/C/ogJYDHtol/HvVOHqNUo\n9CmcPjKTKVA7YcaVnWdSW4bQRy+LsO99c9S9U4e4+bY7GyKgxqLLtrI5kCW8hek7YpsRReO6HZs6\nhmEYRncw/0LDGG4GWjgMcSZ9ndRAOI1cES7FQFifS9asmLOwd4TBTNyCvkj7FxOsHGXMHJtNp1CG\nPC2aL7D4AnUzGkknZMQoo0HzTXdjvoI+vqC2bHFjKolmfhhjwnKZa9xzLTJRDsdPnqDo94M/hquY\n2Yb4z6VoQ8EwDMPoX0wwNIzhZ+CFQ99XzQW/6BSxYCqx3HpuAbx5/cqo6aEvfGQt7J3Wb8++A4XC\nTZFglSeg5Wl1QvZOHaoLm85M87jxuQJwGUKhImZCGkbhbBanlSry3XSmu762NaZ5DU0hN69f2XHH\ne19jCUn/+YFe/IA0YTv98XPL/gOFwpzrB1dWlWdb1Uy0Ff9IwzAMo3uYYGgY84OBFw5jvmrdJiv5\nepbg5RbEp558fMOC2BfsfO3i0smFuQvoUBjwTWzbZW7r2lKrzWriLlmzghveclZbFvV5JqRlcH1a\nRJbvZhXtaT+YQoYbBn5AGmhspy9YN6OVzSMU7mJ9UxR9t1kfTcMwDKM7WERSw5g/DLxw2E2ygqnA\nrIBW1rT1kjUruOK806NljI+NNgh1e/YdKFxA+8KAL1gWpaHoZiRUnzIao6papbxz8r57/sWfbBDi\nfSGzjMAJrfv0laFZTarfj07j205NXdHYtHQV/Ukr5uTnbtqZG5Aij7Km+e4+nTJ57xVZc4UfRKyd\n74n/nFop2/kz513fjXnQp8pYyqPb9R40LPCMYcwvRmq9iuTSGrWpqYP1P/x8b/2GW9jEBK/JyUX4\n7fAJJ+Oqk7C7vsx1eXUsOi+vDVUpW48i/L6LCfIh51y+g6O1xvOLxpT/vTORhUZhspnxWPTcsurV\nzufg08wzCesY9k9ev0xOLirYzhgIap14Fu3EWQJAPHVL3njyr3WUnZ+caT4Uv5tFdSyiU+9EK2S9\nC36/OJYvmeDq9We21IasRX3VzSG/3lnX573nnXgWVcZSHmXnp/k6N/WbYNiP73UzDEM7rA39QSfm\npmPbXWAv6Eeh0NFNbZwj1NTk9Y+/ADt3087c+na6Le0qf/mSifqPfVFwGYCHnnQ8N992Z8P5ZTS/\nMfZOHar3Z1Hfh4SmtbH+6OZYrzI2fPr5fTQMwzDK0W+CoWEY3cHMSo15zxXnnd6SqaVvttlK4BzD\n6BatmJOHPtZVFop5pvntrGO/kpfex/VLO82+Q3/fZst29Y5F4A7P6VZwqSpjKQ8LihXHBEPDmL8M\nhVnpoFKkzq5iGhpSxdS2FXPOflXJV2l/u9vQiplzs8+in8xKY5Ttk/lqutVv9Ot7XQVrQ/8wDO2Y\nT3NTPwuGwzCWYDjaYW3oDzoxN5lw2EOGZFBaG/qAYWgDzK8FWD8zDOPJ2tA/DEM75svc1M+CIQzH\nWILhaIe1oT/oxNxkZqWGYRiGYRjznH4XDA3D6A5DEZDGMAzDMAzDqE4sWi40FyXYMIzBx4RDwzAM\nwzCMeUi70p0YhjE8mFmpYRiGYRjGPCNLMBwZsZREhjGfMeHQMAzDMAxjHpEnGLaSGsQwjMHHzEoN\nwzAMwzDmCRZ4xjCMPLouHIrIGcCHgLWq+qn02CjwFuBlqvqAbtfJMAwjDxF5G/AYoAa8WlV397hK\nhmEYlecmEwwNwyiiq2alIrIcOA/YFXz1OuAHwDDkETIMY4gQkZXAQ1T1NGAdcE2Pq2QYhlF5bjr7\n/G3R4yYYGobh022fw33Ac4D/Do7/vaq+p8t1MQzDKMMq4GMAqnozcLyI3Ku3Veo9G7fuZuPW5hSo\nrVxrNI/1+9DR8txkgqFhGCFdFQ5V9S5VnZNNR1X/p5v1MAzDqMAJwB3e31PAiT2qS1+wcetu9uw7\nwJ59ByoLG61cazSP9ftQ0tLcZIKhYRgxOuZzKCLrgHOCw29U1c+3ofiRyclFbSim9wxDO6wN/cEw\ntGFAGCHx78n8fhieRV4b9uw7cCPwuPTzTZOTi04rW24r11Zl2J9DFbrZ7zGG4VkMAEVzU53tV60e\nWDeeYRlLw9AOa8Nw0jHhUFWvA67LOaXUBGYYhtFj9pPs0DsWA7f3qC59wfarVjctWLRyrdE81u9D\nSaW5aZAFQsMwukev8hyOYMFnDMMYDD4HPBdARB4J7FPVQ72tkmEYhs1NhmG0n5FarXsKPBF5NvBm\nYAlwAJhS1UeJyPuARwACKPDPqrqxaxUzDMPIQUQuBU4HZoBXqup3elwlwzAMm5sMw2g7XRUODcMw\nDMMwDMMwjP6kV2alhmEYhmEYhmEYRh9hwqFhGIZhGIZhGIZhwqFhGIZhGIZhGIbRwVQWnUJE3gY8\nhiQVxqtVte+y+YrIW4EnkPTvpcBuYCuJMH47sEZVp0XkRcCrgaPAu1R1i4gsAK4HTiJxMH+Zqt7a\n/VaAiBwHfJckiNAOBqwNad0uBO4G3gh8Z5DaICL3At4H3AcYB/4G+K9BaYOI/C7wMWCTql4rIg9q\nte4i8nvAO0je/2+r6l92qz1F2NzUPQZ9bgKbn3rZhvk2N4HNT91k0Ocnm5ts7TRQmkMRWQk8RFVP\nA9YB1/S4SnMQkTOB307r+DTg70kG5ttV9XTgh8BaEVkIvAF4EnAG8FoROR54IfBLVX0isJFkguwV\nrwfuSD+/mQFqg4jcj2RSezxwFrCawXsOLwVuVtVVJOHKr2FA2iAi9wSuAj7LbE7Tdoyhq4HzVPUJ\nwL1F5GldalIuNjd1nYGdm8Dmp162Yb7NTWDzUw8Y2PnJ5iZbO8GACYfAKhJpGlW9GTg+3SHoJ3YB\nz08//xpYCKwEPpEe2w48GXg08DVVPaiqdwFfIXkZ620Evpge6zoicipwKvCp9NCgteHJwBdU9ZCq\n/lRVX0HyAg1SG34G3C/9fF9gisFpw2GSH5afecdaGkPpjtiDVfXrQRn9gM1NXWII5iaw+amXbZhv\ncxPY/NQ1hmB+srnJ1k4DJxyewOxuDCQP/MQe1SWKqs7obBLadSQTxL1U9Uh6zNX5hPSz4+fe8TvS\nso4CNRHphfnvFcBrgZH074UD1oaTgXuKyDYR2SUiT2LA2qCqHwYeJCI/AL4ErGdA2pC+B4eDwy3V\nPT12Z+TcfsDmpu4x6HMT2PzUszbMw7kJbH7qJoM+P9ncZGungRMOQ0aYVbv2FSKyGngZ8Krgq5HI\n6c0c7xgi8mJgl6r+OKMOfd8GkrF9X+DZJCYG/xh83/dtEJE/A36sqv+LZJfnWhrHe9+3IYd21L2f\n5y+bmzrAkMxNYPNTlePdZtjnJrD5qSMMyfxkc1P5472gK/NTv09gIftJJGDHYhLnzL5CRJ4KXAw8\nXVUPAP8tIuPp10tI2hG2Zc7xVBU8oqp3d6vuKc8AniciNwHnkNjPHxSRe2TVNet4D9vwU+AmVT2q\nqrcABxm8NpwGfA5AVb8NLAUODVgbfFp6D0je9ftFzu0HbG7qDsMwN4HNT/3SBscwz01g81O3GIb5\nyeam/miDT9fnp0ETDj9H4lyKiDwS2OeZIfQFInJvErOCZ6rqr9LDXyCtN/Ac4DPAV4FHici9U9v/\nx5PY3H8OeF567tkkka66iqr+qao+WlUfB7wH+FsS2+XnpKf0fRvSOqwSkZHUwQjlcygAACAASURB\nVHohyXMYpDb8kCS6HCJyMvDfwOcZrDaMMLtz1dJ7kE7ON4uIs/9/dlpGP2BzUxcYkrkJbH7qhzbM\nl7kJbH7qCkMyP9nc1B9t6On8NFKr9aVlQSYicilwOkmI1leq6nd6XKUGROTPgb8Gvp8eqpGo5t8D\n3AP4EUlo2RkReQ5JuOAacI2qflBEjknP/V/AXcBLVXVfVxvhISJ/DdxKMuDexwC1IX0W69I//5Yk\nLPbAtEGSaFRbgAeShPZ+PXDzILRBRB4LvBt4AEk47F+QRKC7vpW6i8hvAe8k2dj6d1W9oBvtKYPN\nTd1lkOemtP42P/WgDfNxbgKbn7rNIM9PNjfZ2mnghEPDMAzDMAzDMAyj/QyaWalhGIZhGIZhGIbR\nAUw4NAzDMAzDMAzDMEw4NAzDMAzDMAzDMEw4NAzDMAzDMAzDMDDh0DAMwzAMwzAMw8CEQ8MwDMMw\nDMMwDIMk/4dhdAUROQG4HPhd4CCwCPhHVb2mpxUzDGNeY3OTYRj9is1PRrcxzaHRFURkBNgGfEVV\nH6GqpwNPBV4uIs/ube0Mw5iv2NxkGEa/YvOT0QtMc2h0iycBR1T1Xe6Aqv5cRB6hqneLyKnAu4Bp\nYAJ4vap+TkTeBJwAPBD4PZLds0cAfwDcrqrPAhCR/w08j2RM3wz8pare1bXWGYYxqNjcZBhGv2Lz\nk9F1THNodIvfBnaHB1X17vTjA4E3quqTgVcDG73TRFWfDbwMeDtwuao+Cni4iPyeiDwa+CNVPV1V\nTwN+DZzTwbYYhjE82NxkGEa/YvOT0XVMc2h0i7vxxpuIvBx4IXAP4CfA64ErReTNwBhwP+/am9L/\n9wE/U9Vbvb/vDTwWeIiIfCk9vhA43KF2GIYxXNjcZBhGv2Lzk9F1TDjsQ0TkKLCHZFLwWaOqc3aQ\n+gER+QKwFfg88FlV/Z3glG8Da9Nzx4C7VPVMEVkJ/B3wD8AHVPV6EbkFGBWRlwJrgA945YR9MgLc\nBXxCVf93Wv6fAJ9OP78XuEFVP9W2xiblfgL4X+5PZp/Xr1X1sSWufwlJm/9CVd+fcc6P0jKPpIdq\nqvqw1mpuGM0jIg8GfqCqC4LjLwVepKpP6cA9z1HV97Rw/XuAn6jq34jIfwGnq+qUd0p9bkqp5cxN\nNwHjInIG8L+Bd3jXlZmbngp8L/38FuA2VX1ns22LISKbgTPSPx9CshD8DVADHqWqhwqufxrwPuDv\nVXVjxjn/CpwC/I93eJWq3t5S5Y2WSNcOS1V1f4/r8VDggar65V7Wo52ka5wLVPVbOee8CViiqi+P\nfPdo4Deq+h0ReSVJ/7yxxK0b5idVfTfw7oz56eHAdu/aGe9z4fzUCiLy8rRubu3yQlW9sR3lVbwu\nNseXvbbj41ZEXg+8KP3zJOBXwIH079Wq+v2C6x8FfAj4YmycpedcD/whiSbYUUl+MOGwf1nZqQle\nREZUtdbmYmski6r9QCgYoqpfFpFfiMgG4F+BF4vIP5M4Vv8GeADwX+npH6BxsVZ0368A54nIwnTh\nczXJomW7qr6khTZl4uz1of6DXPp5icjFJLb/N5PUP4sayYLrx63U1TAGlTRK3+uApoVD0rkJQFV/\nK/wymJuuB16Xbir5c9P30tO/SGtz0ybg74F3qerFzTcpG1U9130WkVtJhPZSizQR+TOS9u2meG5a\no6q7WqmrMbT8MTAKDI1wmJptFpH3zqwl6Y/vqOq1Fe5bn59U9TIAEVlAfH76U2C8ZNFz5icR+Uvg\nG6r673kXhmvIdJ6+EHDCXEvrSxEZBd7qlZd575DYHF+ByuO26npaVf+ORKgn1di+W1U/kH9V/V5n\nAFeSPLc8asAGVX1f2XqFmHA4YKQ79zcBbwFeDtwXWK+qN6Tfv5FZk4OPp98dTXd6vww8B1gnIrcD\nHyMxLfgssAT4KPBM4CZVfVta3sNIhLkTVPWoV49lwAdJTBhuJB1Laf1+qKrHisgSkh3oE0jMHT4C\nnJzW4xjglyQv/5OBG4Avp/V8MvB94E9IdrdWi8gLSHa53H3+FZgEUNWviwjAt0VkIYkN/iYR+SWJ\n/f27VfX96Yt1FXBPkh2VV6bXvjRt96+BJ5Lstj1XVd2E224+qapv8Uw58hjpUB0MoyOku5a/Jtkk\neijwdeBPVfU3IvIq4C/TUw8CL1PV76XzzGaSueJwevzrJHPLEhH5HklQhVfErg/ufz+SuekhwHdJ\nFlDuu6PAUpKd2q3AqcACYCfJvHFb+vcB4J3p918lmZu+SmIlcAhwAtiTU0uFY0jmONf+B0F9bvol\noCIyk977YhH5FfAMEi3sRhH53bT99yWZ5y5Kg0qcAVwKfAn4I5J5/aUdFMq+BTyFRBgvmntsbhoQ\nROQeJJumZwBHSSxrXge8F/hXVb1ORB4I3A78oap+QUQeSZIu4fdE5M+B15KMv5uAtap6V6q92pQe\nHwHeSDJ+NwDTInIfVb0wqEv0Xc8b6yIyDlxBIhCNkWyuXJqW9yOSdcSLScbu/Uk0KzXgn0gW/K9O\nr79UVT+WXvcMYKOqPiKo3/PSdoySWO2cp6o7fW1YusH7apL54nrgQlU9Je2De4nIR0k2gG8nWXP9\nEYkV1Nki8gCSddcSVX15upbZltbzFODLqvqCtC4vTfvkZ8AZInIpsAu4D3A8ySb4fYBPi8g3gLcB\nfyQiV5LMjyeJyNfT+50oIn9AYuV0GnDvtG+vBfaIyBESoeOEdA7LXUMya7IKc+dpgNNF5GqSteX7\nVfV1aZtWA39LYsL6w7RPf0EjnwfunZb3jLSP/fXrLSRj92QSYfjt3pq1rj3PGbf3B/4ReBjw38AF\n6TkN41ZEziP5zTkGUOAcVb0j7Z9fkKxVP5qe90BVnUnrcANJdNm/p5gq8+g+kjXq60h+S9pV7hws\nIE3/kvdg7wfMqOrvAq9hdhdiDUnUqUcBy9N/53rXPVJVH6aqN5HsPvyLqi4D/oVkUq2RLKqe511z\nNvARXzBMuQz4vKo+hMTR+fHed24X5TXATlX9beDhJJPE35A4PO9Q1UWquj4995uqOqaqf5j+vYpk\ngl8KvDy9z8eBr3n3eLO3SPoJ8AZVPSH9bqWqfiX9XBORe5EIoK9Kd5beCnxAkjDRAE8HrlVVAXak\ndW8KETlFRP4r8u9tAKr67QrFXSEi3xaR/xCRs5utk2F0mWeR/JA/iGRh8nIRWQS8mcS08WEkGzfP\nSN/BjwPXp+/fXwDb0t3jlwE/Ts+/R+T6Z0bufRGJf80yEtPPp0XOeQlwZzoXPJRkgXA9iSnOHlU9\nTlVfQ7JRdIeqjmsSQv5/gD8jWdxOAG9T1YeSzIc/S8uukSxe3dz0/4B3qOrJwI9JFkM3MDs3jQD/\nDFyT1ucc4IPpnAXw+yQbdg8jMWN9fX7XZyMiYxlz0w0Aqvpdt8ApwXoR+YaIfEtE1jVbJ6MrvIbk\n9/dhwCNJFpgvIPmte1x6zunAvzP7W/5E4Asi8kSS9+6MVAD6NcniHpJ1xGvS3/inkwQ3+STJxvPV\nEcHwGLLfdcge668j2ah5OEmAlueKiHv3ayTCgKRWNu8Crkzfy1+TbOhAfG3zwUhfXQs8I63DOSRz\nmbsPIvLbJFqy30376Pk0asqelPbJMhIBYp2q/h/gP0iEyLfhWTOknEUiaDwUOFNEHici903r8iQS\nQfNO4KiqrgQ+B7xHVU8lEZA+DbxYVT+jqg9X1QtINsKfTrLmeQiJ0uADaZ/8C6lvYlqf36T98Sng\n2ZRbQ/rU52lVPUKyfv0d4DHAChLt5JJUqfA+4E9UdTnJRsD/iTyDl5GscR+mqj9K+8q/9+vT+/1W\n2j+XpsqIOgXj9jLgu2kdXkIyDj6LN25F5LEkQuPK9D4/JhHUHU8i+S16M4nQ9qT0vgtInuWHIu2K\n0aB1FJEvR+bnrwCo6g9U9TfxYubwwnTd+P9E5K9KXlPHhMP+5V+DwbHT++5Ykl0PgG+S2C1D8nJv\nUdWD6Q/8dSS7UZAMwM94ZTyBdGJU1W2AM4n8FHCq96KdRXyQP9EdV9WvkZhIhvwMeKqIPB64W1Vf\nrKo/JS74ZvkE/kBVv5p+/jCzP2RVeQyw101qqvp/SXYYH5x+/z1V/Wb6+RvM9mllVPVWVf2tyL/X\nVizqn4F/SDcB1gP/JCLLm62XYXSRj6vqnZqY23ycZKfa+b2dIyIPVNVPqOqVwG8Bk6r6jwCamEBO\npdf4c8VdkeuviNz7iSQbQajqbSRawZCfAY8TkacAC1T11ar6n1Sbm+5KhTxI5qbfTzUcZJSTxTKS\nXWc3n36dRCPxqPT7g6rq/Ij8+b4yqjqdMTc9v2JRnyLRKj2SZNH5FhE5vdl6GR3nGSQbFkc1SVPw\nfpKNkC8x+5v6BJJNDyccPp5EeDwb+JCqus2PdzK7rvgZ8BIREVW9TVX/zLtn7B04lex3HbLH+tnA\nZlU9oqr/Q6L1/+PZYpN3VESOIxF+ndB3bVqPGsnv6TMkiXng+uQG5vJz4FwROVlVv6aq5wdtOh34\nkqr+TFUPk6yz/LbuUNWfpJ+/RVzD459fI9mAP5y27fskAt9jgO+r6vfSefQd3nVZayufvDXPR0iF\n3lRDPK2JL2WVNWRWe9y5W1W1pokf8s9JNgqfRqKpdi5E7wSe5W3SZ5VHcO/zgFel7boV+CmJ1tW/\nPm/cPp3Z9e+3gJNVdTq43zOBD6vqHenf7yF5Zxxf8K75ALMbDyuB/4w8j1Ko6hMj8/Pji69sYCfJ\neH8Mibb9xanyqDRmVtq/5PmwzXi7BzMk5g+QmBdckKrSIXm+P/eu+6X3+fjg732QLB5E5OPA80Rk\nK/BgVY0tru5Lo7PrnZFz3pbW7R3AYhG5VlXflNGmX2Yc952Kf53WuyojJJNiWMdfkdjru7IdR5nt\n056hqn/lff631KzjD0l+wA2jFxwl/sM9ymzwgxqN79qvgOM1ycn1JOBi4G9E5NskJqITwD0lCSTg\nWEQwx6jqkdj1qvrdoC6Fc5OqfiTdmf9bks2wfyLZgImRNTf5plAuoEDV+cnNTb8Kjt9JYjb/cxrb\n4s/3PSMV6t3n70niP/5MEpM3o/+YZO47+QBV/ZGIHCci9yYR0C4GLko1fI/9/+zdeZwcVbn/8c9E\nEmAyYUjCxGAIQSL3UREX/IHcoCxhVTYVFC4IQlxw4ZIfXtGAgBFF1Bi8ARcMGJYgihCBoESRTRDZ\n5CcQMTwJMRsESMjEMEOWSSbz++NUzdT0dM+W7q7qnu/79cor3dXV1U9Nd58+p845zyHMkzuBMFQx\nrhgPIgy9Jnr8IkIP4wbgAnef000cO9P9d73QZ31n4EcWkjhBGEr4eGLf+Ds6nJD74HUIyz2Y2aro\n9svR0MuPRENEX4l6pXIdH53T38xsBaEXMPm53pnOf8vcelpT4nZv6xL5zntnOpc9ydfpTd0q9z2H\n8L43EIaxXhFdzPooHY3kvtQhe/J64nbynA7Kef//TejFfI3uJV97P0Jv4djo2LvStbNrZwp/bjuV\nuZ4/SdcudP6bJ+uLub9xtwBPmNkXKNyhUjbufn3i7otmNpMQ1+zeHkONw+ryEuGK/U973DN8cYcl\n7u+auH0z8E3Cl/G3BZ6/lvDli5OlNOTuEF15+j7wfTPbC5hnZn/pRWxJIxK3kw3aVjp/frurlLUR\nrrS1p3iOrlSNIFxx2pYJzF2Y2VuJsqXm+ENvew+jq5vm7vMTmwcTFroVSctrhKGQYxNXxyEMh1oW\n3Y4bPLERRN/b6CrtJ81sO8Lwz6sJmdte9zyJBCzMQ2pX4PkfzHlaXDbFRhHm2XTiYVHpmWb2FsJ8\n6zMIc2B6K1nmxK/XSNcGXLIMyxWXTbn7jIy2F3VeX1SuPJPnofl5eg/zJlmIGg7vSYy0gI55mpJN\nr9L5OzmS8NsHIafAhyFUks1sPmFI+Ap3bzazl4AbPGeIaLT/KkIvzrlRL/xvzewP0cP5Pj8r6eV3\nPcdLwDR3z/e7mvQ6UGNmO3iYW7YdnesmN0fntojQs9KFu/+Ljszqn46ek+z9ex2oS9xP1p1ybUti\nloKvU6hu5e73JvZ/hfx1nlfdvdHMniAMhTyBMFQe+laH7I+XCD1un+hxz+7dBEz3KNOzmb1Y4LXy\nfm4Jv2MNRPVXC7kyco/Rqc5IR5ncRXSRZSFwKKFH+ju9PpMcZvYQXevTjX3pPbQwh32BhyG+0I+6\no4aVZld/KgV3ErqPdwQws7PN7IwCx3yCMFYeMzsWeEvisQcIXfSTKHwF5FHC2HTMbAIh+UMnZna1\nmcUZvv5FKKy2Ej6kO/XynCwa9gBwEh1Xpl8mmvhsZv9JqJzGttC1sfgEYaJ1vMzEKYQfv2UUWR+G\nldZQ+H0eSkiCsT+Ame1DuLJ7b4H9RUouGvZ0A3BpNLcCM3sfoWF1VWLXo82sPppL9FHgITN7l5n9\nxswGe1jA+SnCHJplhKubJ0bH28XMbjazWkJCiDoze5OZ7ZPv+XnCTJZN4+kYsharMbOLzOys6JxW\nAkvoKJvqrGMOVHdqzeyj0e2TgCeiYUbJsmlPOs/H3kxH2VQTvf7S6PxPjp4zgZAc54lexNAnfRhW\n2l3ZVEOYJxb/jccS/t5FXS5I+i3f+/Y7QiKPQRaStn2KjvfrAcKcxDij7aOEXvT4t2Yu8HELSTww\nsxPM7Gtmtp2ZPWAhUyWE6RgthO9R8nOe1N13vTt3EuYtDzKz+Pt7VO5O7t5MyHp+crTpbDo30G4j\nNIg+Tp4hpWbWYGb3WJgfDaF3MlnGtBG+l4ea2cio5+3TFG4EJr9HuX+TmgK349d5Cni3mY2PLsh8\nlo55j4XqVklP0n2d5zbg84Rh9fFF6J7qkIW0l9Pd7NNGmNf3oegCOma2v4WkNfmON8g65l1D579R\nA+HzFjfgh9K5s6ONAp/b6PG5wJnR9ncS/tbb0fk9+n30/PjC3dmE71FuLLGbCT3vSxNDUfvM3Q/q\nxbDSntoHPyMadmtmwwnJkPpUPqtxmF25cw4XWEgzDF0LojhN+x2ENW7+X9Rtfyxh4jF5nvc1wgd/\nASH5S/sE4+iq1BzgrV44BfrXCJm3XiAMDbsnz+tcDVwWvcZzwF/d/X7gL4ShEC9FhV6utsT/9xKu\nSi4kTPKdEj12BXCMhWxWpxMKndhvgEcsZB2Lz2k9oTH84yieLxAKy/h1kn+b9vtm9jEz+0WBv0Fu\nvL1iYYLwBkKPxywz22Bmp0WPLTCzBndfS/iB+3kU7w2ElPRFb8yK9NG5hB6yp6Pv31XAfyWGd7YR\nlnyYQ0gUtYYwj+UfhEbYc2b2D0JGwMnRc04Bzok+638mXF1eT+jlaiQ0uNZ18/yky4FxFjLaXRnF\nEYu/27OB083s+eg1N0Xbno1fL2r0FNJGqIT+Z/T8ycCXo8euAfaIyqzvEuYjxm4Dfm1m59G53IjP\n/5+ErJKfSEwdyFveRxWrP1BEZnZ3VDZ9CvhmVDZdGD12r5m9N/p9+DhhyY8FhFESF3oP6e+lbJaa\n2ebEv8MJ39EVhN/hJwnLPN0W7f8gsD+dG4f7E+YbEvUQf5dQJ/knoSF5R3SB5lrgPjN7LjrOf0ef\n27uAL1iU6CgWzZ0r9F2HAp91wtzBZVH8CwhJZgotN/Al4BtRGVFL6EGK60j/js6/yd1fyn2ih7Xx\n/gA8GZ3TrwiZOZP7PEn4Pf47oZybmxNv3roEIdnJ981seoH9cmN5hdDYeIDwnjxER6OgUN0q+fw3\nKFznieM5hkT51Is6ZCHt5XR35WZ0Tp8Dbo8+S1eSvwd3JaGeuMzCxX/o/De6ODrGM4T3+OeEUSDt\n8w4LfW6jh78O7GZhqZ9fE36/NpL43Ebv8/cIF+kXEDo0vpGIJfc9u5VQp7sFwEICnvkUkZn9LCqf\nvwGcGZXPce/pDRY6eiBcrD3GzJ4nZKD9pbvn7SkvpKatrdjL3QXRlaDrCUN6diDM7XiW8AM8iPBj\nf3o0x+00wo/rVsKk6VklCUoKsjDE4NseTQa3sObXzu4+pftnVjcLw1J+4SVaL1FKz8x+QCi0tyM0\nHE4gJC2I54z9wN3n5SuHLPSOXU9IjNBKSLu+pMynUFHM7DpCIqnv9rizbBMzu9ndT007DimNfPUo\nd/994vHDCVl7W4G7PayhJgkW5hweFveOmdnVwNMeMogW4/jHEN6XfXvcedteZ2/CMhfdDVMf8Cyx\nlEWZX3cHQi/uO6OLEBVdPpey5/BYwjCbQwhXL35EWMbgKg8pwV8AJlkY4nAxoav/EOC8qBtUSsjM\npllY3wYzewdh3t1T0f1dCcMNilJ4VrjdCVctpQKZ2aHA3u4+gZApbQYdC8QeGv2b1005dCphvP+H\nCJWwy/O9jnShNfBKLBrudEPacUhJ5dajrsh5fAahF/dA4Mjot3xAM7Nb4+GDFhJYQcgAGg8hPJqQ\nrbW/x28ws9fMbHcL8/g+SUeva9FYGLb7kkVTSwgjiYr+OtUkHkJKWHKo3L5OWMM6bhgOpnDOjswr\nWUIa70jxDaGCvYJQ6To72nYXYQ0RB5509yYAC+t5HEjH2F4pjenAbDNbRLjq+CUPi4Z+iTCU4Zue\nP5PXgBJNTv9X2nFIvz1Ex9ytdYQhKG+ia+PlA+QvhybSUQG/D9Coht4pzZAUaefujXQeTi9VpkA9\nCmifz9oYD480s7sJF7cWMLBdDFxnYe3NTYQRapssZDo9DfhiXM73h7uvNrNvEH4P4uHl/9P9s/r1\nOlvM7MvADdH0m5XkDHGVDmbWQFhS7Za4gVbG115CGPbcvrxKlAzmtoJPyriSZys1s78Skp0cRxhb\nHmfPWU3IvjSazssVrKL77E9SBNHY7yPybP8pIT2ySMWL5kfFaao/Q5gf1UqY8/IVQnlzDoXLodFE\nKbbdfauZtZnZdtF8G8nD3c9KOwaRahLVo8YQehJj+cqsAb8Orrs/T571kN39QsKF72K8xs8J89xK\nKpoDeEePO0o8X3RkjzuW5rXf2vNelaXkjUN3n2Bm76FrN353mdC61dbW1lZTo1FLIlWoJF9sMzuB\nkH33CMIaSa+5+7Nm9nVgKl2H66h8EpGk1L7UiXrUTUSZcOnaO6+ySSrSJy/8HRs2tfa8oxR01/QT\nivrFLlnj0MzeD6xy9xXu/kyU2KPJovVnCFfBVkb/RieeuhuJzJn51NTUsHp1v0cFFF1Dw7DMxKNY\n8lMs+WUpFgjxFJuFlOcXAEdHw4mSWd3mEtI+30bncmgM8Bgd5dOz0RyCmp56DbNUPmXp/VUs+WUp\nFshWPFmLpdzy1aPMbJcoVX6+ulOXDJxJWSqb+itLn4ltUQ3nUaxz+Ml5B/PFK/7MphY1ELOilD2H\nHwLGERI7vJmwDsk8wgKkv4z+n0dYR+ZaM6snDPeaQEiVLiKyTaJyZRowMTFR/DbgW1H2uoOB+XQt\nhw4kZC7dCfgEYamW4+jcsBQRKaXcelQdUZZld19mZjuZ2ThCo/AYQgItkYrzs68cnMrrVkkjvejD\nAUrZOLwa+IWZPQTsSFh75ingRjM7G1gK3ODurdGyCX8kDJOYui2ThUVEEk4mzEO41czibdcREhY0\nA02E5Sk25iuHzOwW4AgzexjYSLRwrohIGeSrR51hZuui+WhfJKzFB/Brd38hpThFpIqUMlvpRkJm\nqFxH5tl3Dp0XKhYR2WbuPhOYmeehG/Ps26UccvethLmKIiJl1U09Kn78YcJoKxGRoinlOociIiIi\nIiJSIdQ4FBERERERETUORURERERERI1DERERERERQY1DERERERERQY1DERERERERQY1DERERERER\nQY1DERERERERQY1DERERERERQY1DERERERERQY1DERERERERQY1DERERERERQY1DERERERERQY1D\nERERERERQY1DERERERERQY1DERERERERAbZLOwDJvpaWFlasWAbA2LHjGDJkSMoRiYiIiIhIsann\nUHq0YsUyJk+by+Rpc9sbiSIiIiIiUl3Ucyi9Uls/qtvH1bsoIiIiIlLZ1HMoRaHeRRERERGRyqae\nQymannoXRUREREQku9RzKCIiIiIiImocioiIiIiIiBqHIiIiIiIighqHIiIiIiIiQhkS0pjZD4AP\nRq91OXACsC+wJtrlB+4+z8xOAyYDW4GZ7j6r1LGJiIiIZFVuHcrdb088thRYDrRGm05z95XljlFE\nqktJG4dmdiiwt7tPMLMRwNPAfcAUd787sd9Q4GJgP2Az8KSZ3e7ua0sZn4iIDAzJtVjXrq1j6NCR\nWo9VMi1PHervwO2JXdqAo919fSoBikhVKnXP4UPAE9HtdUAt8CagJme/DwBPunsTgJk9AhwI/K7E\n8YmIyAAQr8VaWz+K9etWMeP84xk/fq+0wxLpTm4daqiZ1bh7W2Kf3PqUiMg2KWnj0N1bgTeiu58B\n7iYMfzjHzL4CrALOAUYDqxNPXQXsWsrYpLDkFfaxY8e1b9/auoXlyzu266q7iFSS2vpR1A0fk3YY\nIr2Spw71+5yGIcDVZrYH8Bd3v6Cc8YlIdSr5nEMAMzsBmAQcQRg6+pq7P2tmXwemAn/NeUqPV8Ia\nGoYVO8xtkqV4tjWWhQsXMnnaXABmX34qI0bUAbCxeQ3Tb2kEnmH25acyZsx/0NLSwtKlS1m3rqNt\nP2JEXXsM1fR3KSbFIiIivZFTh0q6GPgDsBa4w8xOdPc53R2rGsr7ajgHqI7z0DlUp3IkpDkKuIAw\nLr4JuD/x8FzgZ8BthN7D2G7Ao90dd/XqpiJH2n8NDcMyE08xYmlsbKa2flT77aTk9tWrm1i8eBGT\np81lQ9MaRu72jk6PVdvfpVgUS2EqpEVEOuSpQ7Vz95sS+90N7AN02zjMUnnfH1n7zeqvajgPnUM2\nlKLeVOqENPXANGCiu/872nYb8C13nw8cDMwHHgeujfZvBSYA55YyNime0GDMHekikg15Mib/DZhN\nWMrnZeB0d2/JlzHZzAYD1wO7E8qms9x9SfnPQkQGmnx1qJzH5hIajRuAhf4OHwAAIABJREFUgwgX\n2kVEtkmpew5PBkYCt5pZvO064DozawaaCJWtjWY2BfgjoZUxNfcKmYhIXxXImHwvcJW7zzGzy4BJ\nZjabPBmTgeOBRnc/zcyOIDQuT0nlZERkoMlXh7ofmO/ud5jZHOCvUX3q7z0NKRUR6Y1SJ6SZCczM\n89CNefadQw/DIST7kklr6uvflXI0Il2z/RFGLJwdbbsL+Crg5M+YPBG4Idr3PkDrr4pIWXRTh4of\nvxK4snwRichAUJaENFKZkg293uqctKaO4cOVdFbSky/bH3CUu2+Otq0mZEYulDF5NPBadKytZtZm\nZtu5+5ZyxC8iIiJSTmocSkFxQy+ZbKY34qQ1uXKXyNBSGFIuUba/s4CjgEWJhwplRu7r9k6ylFhH\nsQRr19Z1up/Mqpy2rMQRy1I8WYpFRGQgUONQulXMZDPxItSAFqCWsomy/V1I6DF83cyazWx7d98E\njAFWRv+SGZPHAI8ltj8bJaep6U2vYVayn2UpE1vaseRmXo6zKqct7b9LrizFk7VYREQGgkFpByAD\nS239qII9iyLFlsj2d0wi29+9wEnR7ROBeYSMyfuZWb2Z1RHmGz4E3AN8Itr3ODovxSMiIiJSVdRz\nKCLVLDfbXxtwJmHpnLOBpcAN7t6aL2Oymd0CHGFmDwMbo+eKiIiIVCU1DkWkanWT7e/IPPt2yZjs\n7luBSaWJTkQGAjP7CNDg7jeY2S+BDwBf19ITIpJFGlYqIiIiUjqXAHeb2YcJF+XfB5ybbkgiIvmp\ncSgl1dLSwuLFi1i8eFGfl8UQERGpAuvdfTVwLDA7Wk+1NeWYRETy0rBSKak4Q2lt/SjWvLigT0ti\niIhkSXI5HtCSPNJr25vZ14Cjga+a2V7ATinHJCKSl3oOpeRq60dRN3wMOw4bkXYoIiL9Fl/sumDm\nY0yeNrdTQ1GkG2cDbwHOdPcNhPVWp6QbkohIfmocioiI9FJ8sUtL8kgfNAE/ApaZ2e7AXcA/zawm\n3bBERLpS43CAS84JbGlpSTscERGRavMnYDHwHPCP6PYTwBozO6m7J4qIlJsahwNcPExKQ6RERERK\n4tfAR9x9mLvvBHwEuB54F/D1NAMTEcmlxqFQWz+q6EOktrZuYcmSJcpQKiIiA91Ed78nvhPdPtDd\nVwIasiMimaJspVISG5vXcMnMR9nQtEYZSkVEZCDbbGbfBx4G2oD9gFozOwLYlGpkIiI51DiUkgm9\nkW1phyEiIpKmk4HzCFlLBwHPAycBtcBpKcYlItKFGociIiIiJeLuq4ALzGwQEGcobXP3rSmGJSKS\nlxqHAoQ5gvH8QM0TFBERKQ4zOx/4Bp0Xvm8D3pRORCIihalxKECYIzj9lkZq619mzYsLUpkn2NLS\n0ilj6tix4xgyZEjZ4xARESmizwDvdvflaQciItITNQ6lXby48/p1r5b0deJeys2bNwMwePBgxo4d\n176sRm39KNavW8WM849n/Pi9ShqLiIhIiS1Uw1BEKoUahwNU3EuXxhDSuJdyQ9P97DhsJAAzzj8e\n6GigioiIVIn5ZnYz8CDQGm1rc/dZ6YUkIpKfGocDVNxL15+lJooxPzHOZFrs9RVFREQyZgxhPcP/\njO7XEOYcqnEoIpmjxuEA1t+lJrIwP1FERKQSuPuZaccgItJbahxKv5RrfqKIiEglMrPfuPsnzWxF\nnofb3H33sgclItKDkjcOzewHwAej17oc+Bswm7AQ7MvA6e7eYmanAZOBrcBMjcUXERGRCnZu9P8H\n6VjfMFbbmwPk1qHc/fbEY4cDlxHmMd7t7t/Z5ohFZMAbVMqDm9mhwN7uPgE4GpgBfAu4yt0PAl4A\nJpnZUOBi4DDgEOA8MxteytiqSUtLC4sXL2Lx4kW0tLT0al+tZSgiIlI67v5KdPPn7r40+Q+4oafn\n56lD/W/OLjOAjwMHAkeameZ4iMg2K3XP4UPAE9HtdcBQ4GDg7GjbXcBXAQeedPcmADN7hFDY/a7E\n8VWFOLkMwOzL6xg+fNce9+1PIhoRERHpHTP7FOHC97icoaWDgVfyP6uTLnUoM6tx9zYz2xNodPeX\note6m3CBfUHRTkBEBqSSNg7dvRV4I7r7GeD3wFHuvjnathrYFRgd3Y6tirZLL/Ul62d/E9GIiKQh\nXnoHYOzYcQwZMiTliER65u43mdmvCFlJL6FjaOlW4KVePL9LHcrd4x/vfPWm8cWIeyCb9L370w5h\nQJs1ZWLaIQglHlYaM7MTgLOAc3Ieyh2D39N26ScNJxWRShWPeJg8bW57I1GkErh7q7t/GhgBvBXY\nE3gbYRRVr0R1qEl0rkPlXuFVvWkbqWGYPr0H2VCOhDRHARcSegxfN7NmM9ve3TcR1v5ZGf0bnXja\nbsCj3R23oWFYqULulzTjWbu2rtP9fLEsXLgw08NJR4yoy7utmH/XLH1mFItI32hNVKlUZnYb8G66\n9hb2WBOO6lAXAEfHU28i+epNPfZGVkN5Xw3nIIWV+/3V56mrkjYOzawemAZMdPd/R5vvBU4Cfgmc\nCMwDHgeujfZvBSbQkeUrr9Wrm7p7uKwaGoalGk9jY3On+/liaWxszvRw0txz2Nq6haeffo7Gxuai\nDCNL+z1KUiyFqZAWkSr0Vnf/j74+qUAdCgB3X2ZmO5nZOEKj8Bjg1J6OmaXyvj9K+Zs1a8pE9Vyl\nbNaUiWX9jGatDtQfpag3lbrn8GRgJHCrmUFomZxJaAieDSwFbnD3VjObAvwx2mdqzhUyGWA2Nq9h\n+i2NwDPMOP94xo/fK+2QRERE+mOhme3g7hv7+LzcOhSE3sb57n4H8EXgV9H2X7v7C0WJdgAr15y3\nammUVPo5SH6lTkgzE5iZ56Ej8+w7B5hTyniksmgYmYiIVCozmx3d3Al4zsyeALZE29rc/Yzunt9N\nHSp+/GHCSCsRkaIp+ZxDERERkQHoPjrmcuQmjMnmHA8RGfDUOJTUbW3d0ussqkppLyIilcDdrweI\n5gXmNgZb4zULyx6YiEg31DiU1MXzC3uTSTVOaQ9oLqKIiFSCPxGWsNhAaCTWAq8AtWb2eXe/Lc3g\nRESS1DisMMmeMwi9Z9WgL5lUNRdRREQqyK+Bv7j7PQBmdiRwEPBT4E5AjUMRyYxBaQcgfRP3nF0w\n8zEtCC0iIpJ9E+OGIUB0+0B3Xwm0pBeWiEhX6jmsQLX1o6gbPibtMEQqgpm9G7gduMLdf2Jm1wP7\nAmuiXX7g7vPM7DRgMrAVmOnus8xsMHA9sDthDdaz3H1Juc9BRCraZjP7PvAwYYjMfoQhpUcAm1KN\nTEQkhxqHIlK1zKwWmE7HGqpE/09x97sT+w0FLiZU2jYDT5rZ7cDxQKO7nxZV5C4HTinjKYhI5TsZ\nOA84mzBi63ngJMLcw9NSjEtEpAs1DkWkmm0CjgWm0DmVfG5a+Q8AT7p7E4CZPQIcCEwEboj2uQ+Y\nVdJoRaRqJLKRvgZclPNwm7tvTSEsEZFuac6hiFQtd29193zDts4xs/vM7FdmNhIYDaxOPL4K2DXa\n/lp0rK1Am5npopqI9Mb90f9bCCMScv+JiGSOKjkiMtDMBl5z92fN7OvAVOCvOfvk9iz2tL2ThoZh\n/Y+uyKohlrVr69pvjxhR16/jJI/R3+MU4xj5ZOk9gmzFk6VY+srdD43+14V4EakYahxKpm1t3cLy\n5R2L3otsK3e/P3F3LvAzQir50YntY4DHgJXR9mej5DQ17r6lp9dYvbqpeAFvg4aGYVURS2Njc6fb\n/TlO8hj9PU4xjpErS+8RZCuerMXSX2b2f4Bd3f0uM7sMOACY6u4PFys+EZFi0dUsybSNzWuYfssz\nWrZDtlV7j5+Z3WZm+0R3DwbmA48D+5lZvZnVEeYbPgTcA3wi2vc4OoaJiYj01pWAm9mHgP2Bc4FL\n0w1JRCQ/9RxWsZaWlvYGVdz7Vom06L30l5kdAFwDjAK2mNkXgG8C15lZM9BEWJ5io5lNoSOr6VR3\nbzKzW4AjzOxhYCNwZhrnISIVbaO7LzSzzxOWyXnOzFrTDkpEJB81DqvYihXLmDxtLrX1o1jz4gJG\n7vaOtEMSKSt3fwzYJ89Dv82z7xxgTs62rcCk0kQnIgNErZl9EvgocKmZjQCGpxyTiEheGlZa5Wrr\nR1E3fAw7DhuRdigiIiID0QXAqcCF7v46YVjpFemGJCKSn3oOMy45NFQJWURERCqLuz8APJC4PzW9\naEREuqfGYcbFQ0MBZpx/fMrRiIiIiIhItVLjsAIoIYuIiIiIiJSa5hxKRYjXO6zkrKsiIjLwmNn3\nzWyvtOMQEekN9RxKRQjrHTayoWmNsq6KiEglWQv8xsxeB64FbnX3jSnHJCKSl3oOpWLU1o9S1lUR\nEako7v49d38f8AXgbcCjZvZTM3t7yqGJiHShxqGIiEgKWlpaWLhwIYsXL2Lx4kW0tLSkHZKU1hhg\nPLAj0ATcaGZfSjckEZHONKxUREQkBXE26tr6Uaxft4oZ5x/P+PGamlZtzGwqcDrgwM+BT7t7q5kN\nAZ4EfppieCIinahxKCIikpLa+lHUDR+TdhhSWtsBE929U0Y1d28xsykpxSQikpcah1WopaWFFSuU\n2VNERCQDNgOfNjOAGqANaCX0JP42xbhERLooeePQzN4N3A5c4e4/MbPrgX2BNdEuP3D3eWZ2GjAZ\n2ArMdPdZpY6tWsVDlZTZU0REJHUjgKOBewiNw8OBx4AJwEeASYWemFuHynlsKbCc0NAEOM3dVxY5\ndhEZYEraODSzWmA68EfClTKi/6e4+92J/YYCFwP7Ea6wPWlmt7v72lLGV222tm5hyZIlrFu3ntr6\nUXT8yUVERCQlbwXe5+7rob1uNNvdjzGzRwo9KacOlU8bcHR8XBGRYih1ttJNwLHAq4SrZbGanP0+\nADzp7k3R2j+PAAeWOLaqs7F5DZfMfJTvXHt/2qGIiIhIsDuwJXF/E7CnmW0H1HbzvGQdqpDc+pSI\nyDYpac+hu7cCrdE4+6RzzOwrwCrgHGA0sDrx+Cpg11LGllXxfEGAsWPH9fn56jEUERHJlLuARWb2\nN8LUmfcCfwDOAOYVelI3daikq81sD+Av7n5B0SIWkQErjYQ0s4HX3P1ZM/s6MBX4a84+PV4Ja2gY\nVoLQ+q8v8bS0tLB06VIA9thjD4YMGdL+2MKFC5k8bS4Asy8/lREj6tofS97ubttAMWJEXZ/+7ln6\nzCgWEZGBwd0vNrObgH0I9ZtL3X2+mb0pagD218WERuZa4A4zO9Hd53T3hGoo76vhHKA6zkPnUJ3K\n3jh09+SYx7nAz4DbCL2Hsd2AR7s7zurVTcUPrp8aGob1KZ7Fixe1NwBnnH88Y8eOa+8tXL58WdT7\nB42NzZ2el3u/0LaBorGxudd/976+R6WkWApTIS0i1cTMaoDb3P1EQnbSdtvYMMTdb0q8zt2Exme3\njcMslff9kbXfrP6qhvPQOWRDKepN5WoctvcEmtltwLfcfT5wMDAfeBy41szqCVm3JgDnlim2VMQN\nQOi8EPKaFxcow6iIiEgVcPc2M1tkZpMIo6RaEo/9q5eH6TKaKqovzSUkpNkAHES40C4isk1Kna30\nAOAaYBSwxcy+AHwTuM7MmoEm4Cx33xgtBBtnNZ3q7pXdlE/ozTzCeCHk9eu6m3cuIiIiFeYU8icD\neGt3TypQh7oO+Je732Fmc4C/RvWpv/c0pFREpDdKnZDmMcIwh1xdFn2NCrWqLNjinkEIw0hFRERk\nYHD3Pfr5vEJ1qPjxK4Er+xmWiEheaSSkGZCSw0hFRERkYIiyif4Q2MXdDzGzzwEPuvuidCMTEemq\n1OscioiIiAxk1xAytcd1LgdmpheOiEhhahyKiIiIlM5gd7+TkHAPd38ILV4vIhmlxqGIiIhI6bSZ\n2c7xHTPbG9ghxXhERArSnEOpeLnZYIcMGZJyRCIiIu0uBR4DdjWz+cAuwKfSDUlEJD81DqXi5WaD\nHT9+r5QjEhERCdz9ATPbF9gb2AQsdPeNKYclIpKXGodltLV1C8uXL0s7jKqkbLAiIpJFZrYrcDIw\ngmiuoZm1ufslqQYmIpKHGodltLF5DdNvaWRD0xpG7vYONRZFRESq3++Bp4H4B78GaEsvHBGRwtQ4\nLLPQwxV+E3IbiyIi1SaeE7x2bR1Dh47UnGAZiJrcfVLaQYiI9Iaylaastn4UOw4b0a/nxj2P6n0U\nkayK5wSffsHN7YmjRAaYx81MV4BFpCKo57CCqedRRCqB5gTLAHc0cJ6ZvQZsiba1ufvuKcYkIpKX\nGocVLjlMdSBJztdUz6l0x8zeDdwOXOHuPzGzscBswsiJl4HT3b3FzE4DJgNbgZnuPsvMBgPXA7sT\nFrA+y92XpHEeIlKxjo/+byNKSCMiklUaVioVKfSaPsMFMx/jO9fen3Y4klFmVgtMB/5Ix1WUS4Gr\n3P0g4AVgkpkNBS4GDgMOIVzlHw6cCjS6+4eAy4DLy3sGIlIFXgGOBb7o7kuB0dE2EZHMUeMwozSf\nsGe19aOoGz6m33M2ZUDYRKiUvZrYdjAwN7p9F3A4sD/wpLs3ReuPPQIcCEwk9DoC3BdtExHpi58C\n4wnlCcC+hBEJIiKZo8ZhRsU9Y+oV6724Qb148SJaWlrSDkcywN1b3X1Tzuah7r45ur0a2JVwJX91\nYp9Vie2vRcfaCrSZmYbji0hfvN3dzwPeAHD3nwJj0g1JRCQ/VXIybKDOJ+yvOEEPPMOM849n/Pi9\n0g5Jsq/Q/J++bhcRKWRL8k40jH2HlGIREemWGodSVZQVUXqh2cy2j3oUxwAro3+jE/uMAR5LbH82\nSk5T4+5bcg+Yq6FhWPGj7qe0Y1m7tq799ogRdf2Kp9jH6O9xinGMUh6vWLIQQyxLsWyDW83sPmBP\nM7sK+DDwk5RjEhHJS43DCpHMzikifVZDR6/fvcBJwC+BE4F5wOPAtWZWT8hKeiAhc+lOwCeAe4Dj\ngF6N8169uqmYsfdbQ8Ow1GNpbGzudLs/8RT7GP09TjGOUcrjFUMWPjOxrMXSX+5+lZk9Tkh2tRG4\n3t2fKlJoIiJFpcZhhdCahiJ9Z2YHANcAo4AtZnY2Yc2x66PbS4Eb3L3VzKbQkdV0qrs3mdktwBFm\n9jChUndmCqchIhXO3Z8Ankg7DhGRnqhx2EctLS2sWBF68MaOHceQIUPK9tqagyjSN+7+GLBPnoeO\nzLPvHGBOzratwKTSRCciIiKSLcpW2kcrVixj8rS5TJ42t72RKCIiIiIiUunUOOyH2vpRSnySYVrS\nQkREssLMrs+z7Y8phCIi0iMNK5WqoyUtREQkbWZ2GvAFYJ9o3nJsMPDmdKISEemeGodSldSzKyIi\naXL3X5rZg8DNwCV0ZExuBZ5LKy4Rke5oWKmIiIhICbj7S8ARwL/c/UFgLfBWQvZjEZHMKXnPoZm9\nG7gduMLdf2JmY4HZhIbpy8Dp7t4SDb+YDGwFZrr7rFLHJiIiIlJiNwC3m9lWQkbk3wLHAp/s6Ym5\ndaicxw4HLiP0RN7t7t8pduAiMvCUtOfQzGqB6XSsHQZwKXCVux8EvABMMrOhwMXAYYRFYs8zs+Gl\njE0GjpaWFhYuXMjixYuUpEZERMptjLv/BjgZ+Km7fw0Y0dOTcupQ+cwAPg4cCBxpZloEWUS2Wal7\nDjcRro5NSWw7GPh8dPsu4KuAA0+6exOAmT1CKOx+V+L4+i3OiAlQX/+ulKOR7sTLj9TWj2L9ulVK\nUiMiIuW0vZnVAB8DPhNtG9aL5+WrQwFgZnsCjdGwVczsbsIF9gVFibiCTfre/dt8jFlTJhYhEpHK\nVNKeQ3dvdfdNOZuHuvvm6PZqYFdgdHQ7tiranlkhI+YzTJ42l6VLl6YdjuQRN+CXL19Gbf0o6oaP\nUaIaEREptweAdcAr7r7QzM4Dnu/pSQXqULGKqzeVQzEahsU8jkglSjtbaU0ft7draOjNRbfiW7u2\nrv12bf0otrZuYcmSJQDsscceDBkypNvnSPnES1psaFrDyN06RtuMGFGX2ucnlvbrJ2UpFhGRauPu\nU8zse+7+72jTHcCPt/GwbTn3e6w3QXWU9+U6h1K/jt6LbKiGcyi2NBqHzWa2fXQ1bAywMvo3OrHP\nbsCj3R1k9eqm0kXYjcbG5k73Nzav4ZKZjwKPdhqu2NLSwooVYdhpPPxUyi/0FHb8hm5t3cLTTz9H\nY2MzY8eOy9uYL7WGhmGpfX5zZSkWUCEtItXHzPYAfmhmu7j7IcDhwIPAom04bL5600s9PSlL5X1/\n9PSbNWvKxKINKy3l3yprv739oXPIhlLUm8rVOKyh46rWvcBJwC+BE4F5wOPAtWZWT8i6NQE4t0yx\nbbN8QxWT89zWvLigU8+VpCfuTYRnNPdQRETK4RpCT+H/RPcdmAkc2svnd+kVdPdlZraTmY0jNAqP\nAU4tQqwVT/MFRbZNSRuHZnYAoVAcBWwxs7OBo4Hro9tLgRvcvdXMptCR1XRqnJymksXz3NavezXt\nUCRB8w5FRKSMBrv7nWb2fwHc/aEoQU238tShvgBcR1gz8Q7gi8Cvot1/7e4vlCZ8ERlISto4dPfH\ngH3yPHRknn3nENb/EREREakWbWa2c3zHzPYGdujpSd3UoeLHHyaMtBIRKZq0E9KIiIiIVLNLCdNn\nRpvZfGAX4FPphiQikp8ahyIiIhUqmfwMSC3RlnRrPvBe4F2EtQsXufuGdEMSEclPjUMREZEKlUx+\ntn7dKiXayqaHgPWEvAp/BFrSDUdEpLBBaQdQbVpaWli8eJGWrxARkbKIk58p2VY2ufs7geOAfxCG\nkz5mZrenG5WISH7qOSyy+Cpu7sLrIiIiMmBtB7yJcFF+C10XsRcRyQQ1Dksgd+F1ERERGZjM7AVg\nIXAn8CN3fy7lkEREClLjsEi2tm7RUFIRERHJ9b+EBe/PAPY1sweAP7v7y+mGJSLSlRqHRbKxeQ3T\nb2nUcFIRERFp5+4/Bn4MYGYTgAuBm1AdTEQySAVTEWk4qYiIiCSZ2XHAQcAHgcHAA8CVqQYlIlKA\nGociIiIipXMScA/wQ3d/Ne1gRES6o8ahiIiISOmcA5wHnGJmbcCjwP+6+4Z0wxIR6UqNQ5GElpYW\nVqzoSCw0duw4hgwZkmJEIiJS4a4BVgBXE5ayODza9qk0gxIRyUeNQ5GEeJ3K2vpRrF+3ihnnH8/4\n8XulHZaIiFSuN7v7KYn7d5nZn1OLRkSkG4PSDkAka2rrR1E3fEyUYEhERGSb1JrZ0PiOmdUB26cY\nj4hIQeo5lAEpXpdy8+bNAAwePJixY8elHJWIiFShnwMLzOyp6P77gYtTjEdEpCA1DmVA6liX8n52\nHDYSgBnnH59yVCIiUm3cfZaZ3QvsC2wF/tvdX0w5LBGRvNQ4lAErXpdSw0dFRKSU3H05sDy+b2Y/\nd/ezUwxJRCQvzTkUERERKa+D0g5ARCQf9Rz2QnJ5g+XLl/Wwt4hknZkdAtwK/CPa9CwwDbiJcNHs\nZeB0d28xs9OAyYThYDPdfVb5IxYREREpPTUOeyG5vMGaFxcwcrd3pB2SiGy7B9z9k/EdM7sOuMrd\n55jZZcAkM5tNSByxH7AZeNLMbnf3temELCIiIlI6ahz2Ury8wfp1r6YdiogUR03O/YOBz0e37wK+\nCjjwpLs3AZjZI8CBwO/KFaSIVCYzW9HNw28uWyAiIn2gxmFCcvjo2LHjGDJkSMoRSbnES1vIgNEG\nvNPM7gRGAJcCQ919c/T4amBXYHR0O7Yq2l71kuUhqEwU6YcPpR2AiEhfqXGYEA8fhbCswfjxe6Uc\nkZRLx9IWazRseGBYBEx191vNbE/gQeBNicdzexV72t5JQ8OwbYuuiPoby8KFC9uH069ft4rZl5/K\nmDH/0efjrF1b1357xIi6fsVT7GP09zjFOEbWY4Lq+PxmgbsvTTsGEZG+UuMwh5Y1GLjipS1yxT0o\nmzeHTqXBgwerF6XCuftKQkIa3P1fZvYK8H4z297dNwFjgJXRv9GJp+4GPNrT8Vevbip+0P3Q0DCs\n37E0Nja3D6eP7/fnWI2NzZ1uZ+EY/T1OMY6R9Zi25TNTbFmLRURkIFDjUKQHcY/yhqY17DhsJKCe\n5UpnZqcCe7n7t8xsFNAAXAecBPwSOBGYBzwOXGtm9UArMAE4N52oRUREREqr7I3DvqSQL3dsueIe\nI81Fk7hXUT3LVWMucLOZ/YUwnPSLwNPAjWZ2NrAUuMHdW81sCvBHQrfy1Dg5jYhIqZnZj4APEMqf\nye7+t8RjS4HlhAtXAKdFoyJERPotrZ7DHlPIA1enFFu7ZI+R5qGJVA93bwaOz/PQkXn2nQPMKXlQ\nIiIJZnYw8DZ3n2BmbwdmEUYvxNqAo919fSoBikhVGpTS6+ZLIT83un0XcHh5wymstn4UOw4bkXYY\nIiIiMrBMBG4HcPfngeFmVpezT6+SZImI9FYaPYe9TSEvkmlK9S8iIiU0GngqcT+uHy1KbLvazPYA\n/uLuF5QxNhGpUmk0DvubQr6TUmQOy02XLgPb1tYtrFu3Ou9jI0bU8cYba/qd6j9Lme+yFIuIiBRU\nQ+eU2hcDfwDWAneY2YnRMPiCqqG8r4ZzgOo4D51DdSp747APKeS7VYr01rnp0mVg29i8hktmPpp3\nzmn8+ehPqv+spWfPSiygQlpEJCF3KZ23EJL2AeDuN8W3zexuYB96mB+dpfK+P7L2m9Vf1XAeOods\nKEW9qexzDs3sVDP7ZnQ7N4U8dKSQF0md5pyKiEhK7iGqG5nZvsBL7v5GdL/ezP5sZjtG+x4EzE8n\nTBGpJmkMK+1VCvkU4hIRERHJBHd/1MyeMrNHCMtVfNnMPg2sc/c7zGwO8Fczawb+3tOQUhGR3khj\nWGmvU8iLiIiIDFR5kszMTzx2JXBleSMSkWqX1jqHIiIikhFx9uW1a+sYOnSkMi+LiAxQahzmsbV1\nC8uXL+t5R5EcyeUttLSFiFSKFSuWMXlaWG54xvnHM378XilHJCKHNUsUAAAQR0lEQVQiaVDjMI+N\nzWuYfktj3iyVIt1dPFAFS0QqVW39qLRDEBGRlKlxSEdvT7LCH34k2wo/SQasni4eqIIlIiIiIpVI\njUM6envUUyi9pYsHIiIiIlJt1DiMqLIvIiIiIiID2aC0AxAREREREZH0qXEoIiIiIiIiGlYqUkpa\n2kJEREREKoV6DkVKKE52NHna3PZGooiIiIhIFg3YnsNkj44WvJdS0tIWIiIiIlIJBmzjMO7Rqa0f\nxZoXF2gJCxERERERGdAGbOMQQo9O3fAxrF/3atqhSJXZ2rpFPdIiIiIiUlEGXONw/fr1fPYrl9I2\naHsY9ra0w5EqtbF5DdNvaWRD0xr1SouIiIhIRRhwjUMAhu5G63b1aUchVS7MNWxLOwwRERERkV4Z\nmI1DkSLTMFIRERERqXRqHIoUQU/DSJONx1dfHcLatW8wePBgrX0oIiIiIpmhxqFIkXQ3jDRuPNbW\nv8yaFxew47CRAMw4/3jGj9+rjFHKQBAv1bN2bR2Njc26CCEiIiK9osahSJkks+PW1o9q703cvHlz\np/3UoyjbKrlUz/p1q3QRQkRERHpFjUORlHQMRb2fHYeNZEPTGvUoStHEFyNEREREekuNQ5EUxUNR\nk//nJrdRL6KIVIJ4ODOo3BIRqVRqHIpkTHJ+ooYEikiliIczg0Y/iIhUKjUORTJIQwJFpBKFURAi\nIlKp1DgUybDcpDXdJavRkC4RERER2RZqHIpkWG7Smq1bWzn/v/Zl993HdWkAakiXiIiIiGyLTDUO\nzexHwAcIi8VNdve/pRySSOqSyWrWr3uV6bc8AzyTtwGoIV2lUc6yST3AIhLrruwxs8OBy4BW4G53\n/046UYpINclM49DMDgbe5u4TzOztwCxgQsphiWROvjUSBw8e3J7htNBQVKC90QG0b5PulbtsUg+w\nDGTJiyP19e9KOZp09aLsmQEcCawE/mxmc9x9QQqhikgVyUzjEJgI3A7g7s+b2XAzq3P35pTjEsmc\n3OGmtfWjWPPiAkbu9o4uj0FoZABdFkYfMyY83l1vVe5jQI89W1XW+1X2skk9wDJQJS+OzL68juHD\nd005olQVLHvMbE+g0d1fAjCzu4HDgIKNw+P+585yxJwZs6ZMTDsEkYqUpcbhaOCpxP3VwK7AomK/\n0JZ1S9k6aEc2DtoZgA1NjUBNj//3Zd/+PEf7at++7Bs3/JLWr1uV97HkuonJbSNG1NHY2Mzy5cv4\nzjV/AuCizx3B7ruP67Rf8jGg4L75njPz25+t9N6vPpVNJ51yBi0tWzjysMP4P+9/X59fbPnyZaxf\nt6r9dn8kj7F+3ap+HacYx8g9TlaOkfbfJIsxZel9ii1ZsoTGxmxcH25o2DeNl81X9owGXoj+X514\nbBUwvnyhZd+k792vBqJIP9S0tbWlHQMAZvZz4PfuPje6/zBwlru/kG5kIjKQqWwSkTR0V/aY2QTg\nq+7+8eixzwB7uvs3Ch3vuP+5MxsVvjK6a/oJNWnHIFJpstRzuJJwJSz2FuDllGIREYmpbBKRNHRX\n9ryU89hu0baC1FASkd4YlHYACfcAJwGY2b7AS+7+RrohiYiobBKRVBQse9x9GbCTmY0zs+2AY6L9\nRUS2SWaGlQKY2eXAQYS0zF929/kphyQiorJJRFKRW/YA+wLr3P0OM/sQ8P1o19vc/YqUwhSRKpKp\nxqGIiIiIiIikI0vDSkVERERERCQlahyKiIiIiIiIGociIiIiIiKSraUsemRmhwC3AJPc/ffRtjcB\n3yWs/TMq5VjeA/wUaAOedfcvlSue6PWHAjcAo4A3gDPd/dVyxpATz1uAWcAQ4E3Aee7+/1KK5ULg\niOjuIGC0u1sasUTxfBU4DdgMfMnd/5ZSHGcClwKLo01/cvfvphFLzMzeDDwPnODuD6UZS1+Y2Y+A\nDxC+/5PTek8T8fwA+CChnL/c3W9POZ4dgX8Al7r7DSnGcRpwPrAFuMTd704pjjrgRmBnYHvgW+5e\n9myTZvZu4HbgCnf/iZmNBWYTysmXgdPdvSXFWK4jfIY3A58q129abiyJ7UcB89y9oi6uZ618yie3\nzAL+Rp7PYvQdngxsBWa6+ywzGwxcD+xOSN5zlrsvKf9ZdC7rgPupsHPILSOB+ZV0DvnKVmBBpZxD\nb8vkvsTe1/ZJxRRuZjYeOBfIrSx+DVgElG39nm5i+V/gXHf/IFBvZkeXK6bI54FF7n4QoWC9tMyv\nn+srwBx3nwhMAS5LKxB3/667H+ruhwK/AGamFYuZ7Q2cDLwfOBs4Nq1YCAXFr+O/TdoNw8g0oKIW\nmDezg4G3ufsE4DPAlSnHcyiwdxTP0YSyKW0XAWsIn7lUmNlIQmXnQML37oS0YgHOBJ6PyseTgBnl\nDsDMaoHpwB/peF8uBa6KfkdeACalGMu3CZWeQwiVpa+kEEty+w7ABYT1BytG1sqnfPKUWTMIlfpO\nn8XoIvjFwGHAIcB5ZjYcOBVodPcPEeoal5f/LNpdBLwW3e7yfcryORQoIyvtfTiTzmXrlVTIOfS2\nTO5H7H1qn1RM45CwuOuJQHPO9hnufm3asZjZEGAPd38q2nQXcHiZ43ob8CRA1ONycJlfP9erwC7R\n7RHA6hRjASBaD+qLwI9TDONY4BZ33+ruf3f3qSnGAmW8sNITM5sIrCNcdc1MXL0wkVB5xd2fB4ZH\nVy/T8hDwyej2OmComaX29zSztwNvB35Puu/r4cC97v6Gu7/i7menGMurwMjodlrl4yZCeZTsjTsY\nmBvdLufvWDKW+DPyZWBOdPs1Ov5e5Ywl6ULgKkIvZiXJWvmUT5cyi/yfxf2BJ929yd03Ao8QGjLt\n5wjcF20ru5yyDirvHPKVkYdQWeeQr2w9hMo4h96Wyb2OPepN7FP7pGIah+6+0d27XHF29/UZiWUX\nYG3i/ipg1/JFBYQK9Ueg/UrhbmV+/VxXAp80swXAzwlXOdL2ceAP7r4pxRj2AMaZ2TwzuzcaQpCW\nGuDgRCzvTSuQ6ALLRYQKGKTYw9QPo+m4Ugzhx6jc3/927t4aL5ZN6Cn4fb7ys4ymAeel+PqxcUCt\nmd1pZg9FFyNS4e63AmPNbBHwIGXqFcuJoTVPWTjU3ePGT9k+x/liiSqordH0kS8Bv0wrFjP7D+Cd\n7j6nwNOyLFPlUz75yiygLs9ncTSdL6SsSmx/LTrWVqAtuhhcbnFZF1/gyPd9yvI55JaRh1Fh55BT\ntj5AKFsr4hz6UCb3OvZoW5/aJ5mcc2hmnwE+m7P5Enf/UwXFUtKGd4G4vgm818weAn5HGC9eFgXi\nmQf8xt0vN7NjgB8Cn0gplvg9m0QYflsWBWJ5M2HOyofN7EDgWsJVoDRiuRn4prvPM7MDCOP0S95Y\n7ebz8jN3bzIzqKyew1w1ZKBxa2YnED7zR/S0bwljOAN4yN2Xp9l7GRlEuJL8McJFmgcIlaGyM7NP\nAcvd/SPRBaJrCHPCsiTt9yvOKzAbuM/dH0ghhPh7PB04J4XXL4VMlE/5RGXWWcBRhClDsUKfxb5u\nL5mcsi5fDJk/B7qWkQ/mPJ75c8hTtl5L58975s+hG8WIvcf2SSYbh+7+C8K8sELKVqj1IZbVdB7y\nMoYSzkvoJq57AMxsDKGALYt88ZjZ3cA3orv3EibDphJLFM9QYDd3X16OOArFYmZTCQlXcPdHzGyP\ntGLJefwxM2sws5pS9zIV+Lv8BfiwmX0FGA/sb2YnufuCUsZSJCsJV+dibyFMHE9NlDjjAuBod29K\nMZSPAHua2ccJoxk2mdkKd78/hVheAR6Nrqj+y8yazGwXd3+tpyeWwASi8trdnzWz3crx3euFZjPb\nPrp6XdLfsV66DnB3/3ZaAVhIrvZ24NdRpX9XM3sgmsNeCTJXPuUTlVkXAke5++tmlu+zmHsuY4DH\nEtufjYbR1bh72S6QR7qUdUCTme0QDf2rhHPoUkYCLRV2Dl3KVuCNCjuHpG36HhC+631qn1TMsNKE\nGrLTim+PJeryfT7qCYJw1WVeOYMxsw9HDQ+AM+gYo5yWF4ADotv70fkqYBreQ9QoS9k8wlXReH5C\n2RqruczsfDP7bHT7ncCqtCqn7v5Bd/9Pd/9PwpCiL1ZIwxDCD9FJAGa2L/BSYohU2ZlZPWF407Hu\n/u+04gBw91Pcff/ofb2WkK00jYYhhPdpopnVRIkX6lJqGEIoHz8AYGbjgDdSbBgmf1fvJfosE+bW\nl/V3LBFHnDVxk7t/q8wxJGOpcfeV7r5Xonx6uYIahpCx8imfRJl1TKLMyvdZfBzYz8zqo3mTBxLm\nK95Dx8ik4whZQssqT1n3bcK8rxOjXTJ/DnQtI4cS3odKOofcsrUZ+BOVdQ49lcm9jj1q2PapfVLT\n1pb2RcreMbOPETL2jAFeB1a7+35mdiPwPsAAJ2ReLGlWzG5ieQdhbt0g4DF3/2op48gT1w7ArYT5\nj43AKWn2GJjZaELvUC2hh/Vcd/9HivF8HDjM3b+cVgyJWKYCR0Z3z3P3x1OKYwxwE+EzOyiKJfUU\n52Z2HXCdV9ZSFpcDBxHSR3/Z3eenGMvnCcPMFyY2n+HuK1IKCQAz+yawxN1vTDGGzxPmNAF8291/\nl1IcQwlL/byZMIrnInd/sMwxHEAYzjqKMA1hDSFT5PXADsBSQir01hRiaSQsgbSB8DsL8M9ylN8F\n/i6HuHtj9Pi/3H3PUsdRTFkqn/LJU2a1EbJOXkvOZ9HMTiQstdAGXOnuvzKzQdG+ewEbCUt5vVTW\nk0iIyzpCZf1GKugccstIwpIiFXMO+cpWQsdA5s+hL2VyX2Lva/ukYhqHIiIiIiIiUjqVOKxURERE\nREREikyNQxEREREREVHjUERERERERNQ4FBEREREREdQ4FBEREREREdQ4FBEREREREcL6HyIiIiIi\nkjHRmtHfB94NNAHDCOsAX5lqYFK11HMoIiIiIpIxZlYD3Ak84u7vc/eDgKOAz5nZx9KNTqqVeg5F\nRERERLLnMGCzu8+MN7j7KjN7n7tvMbO3AzOBFmAn4CJ3v8fMpgKjgTcD7yH0PL4PeD/wsrsfD2Bm\n/w18gtAeeB74krtvLNvZSSap51BEREREJHv2Bv6Wu9Hdt0Q33wxc4u6HA5OByxK7mbt/DDgLuAr4\nvrvvB7zLzN5jZvsDH3X3g9x9ArAO+GwJz0UqhHoORURERESyZwuJurqZfQ44FdgBWAFcBPzQzC4F\nhgAjE899NPr/JeBVd1+SuF8PHAC8zcweiLYPBTaV6DykgqhxKCIiIiKSPc8Ck+I77n4NcI2ZHQx8\nB/gxcLO7X29m7wLuSjy3NXF7C53VABuBue7+3yWJXCqWhpWKiIiIiGSMuz8MrDGzKfE2MxtMSEqz\nARgF/DN66BRg+14eug14BPiwmQ2NjvslMzugWLFL5VLjUEREREQkm44HRpnZ383sz4ThojsA/wVc\nAdxoZvcQGnuNZvZDQuOvLXGMtpxj4u5PAT8BHjSzh4GDgKdLeiZSEWra2rp8XkRERERERGSAUc+h\niIiIiIj8//brQAAAAABA0P7Ui5RFIIcAAADIIQAAAMkhAAAAySEAAADJIQAAAMkhAAAA1b1539dq\n3zWoAAAAAElFTkSuQmCC\n", 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SZowZrN93PnaPDMMwjE5h7llrmHvWmpalv0vLUjYMwzAMwzAMwzCGTSsFwhDT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\nUOre8uVLmXVhWHrzkjOPYtq0XTOOSEREasjjwFuBN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IoeeFw6VrbuL2uzdbgAjDMAzDMAzDMIwcel44NIw0TJtsGIZhGIZhGPX0vHC4\nZO4sJk/qY/KkPgsQYQCmTTYMwzAMwzC6m3lnruPIk9dWW51uzwekWbrmJrYNDtX+NgFx9HiBytrS\nMAzDMAzDMMaHeWeuG/M8el5zaLSWTtK6NWsaumTuLA6YMY0DZkwzAdcwDMMwDMPoeMZDMIQu1hya\n9mrXxgup/u9Gx4GNG8MwDMMwDKPTGS+h0NMRwqGIvAX4KHB78tX3VfWMrOsXrdgwKsHAaJ4lc2eZ\nYG70NCLydOBKYLmqnicijwO+hJsvtwNvVNX72llGwzB6AxF5A7AI2AF8CPhfYA3OsuseYK6qDibX\nvQ/YCZyvqqtFZCJwIfB4YAh4q6reOf61MAxjrBhvwRA6RDgEqsDXVPWUVifcLcJMN5TR0wllXDJ3\nFguWr6/9bRitQEQeBpwDfBc3LwF8DLcYu0xE3gUsBBa3qYiGYfQIIrInTiB8FjAV+AhwNPAZVb1C\nRJYC80RkDfBB4Dm4DaobReRK4BXA31T1DSLyEuATwOvaUBXDMFpMkVC4+tQ5APT3T620Ou9O8jks\nXbllJxzSkM/YkrmzOlqA6CQ/vjJ0wjEQPtDQtsGhtpfF6Cm2AUcA9zE8J70buCL5+35gz7wEFq3Y\n0NCYXLB8fW2joyyd8Ax2IvPPWsf8s8Z/l7UMu0Kf7Qp1bDH/D7hWVbeq6r2q+g7gUOBbye9XJdc8\nF7hRVbeo6kPAT4CDgTk4KweAHyTfGYbRxcw7c11pwXCs6BThsALMFpFrRORaEXlm0Q2NCHz2wmod\n3SbIZmFjwkhDVYdUdVv03VZVHRKRPuBdwFfz0rj1rgdKPx8Llq+vbXKUFRB75RlsNfPPWke1CtUq\nHScg7gp9tivUcQyYCTxMRNaKyAYReTEwRVW3J78PAHsDeyV/e/4SfH8/gKruBKoi0ikWYYZhNEBZ\noXCsBUNog1mpiMwHjo++vhj4sKpeIyLPB74MPD0vnf7+qaXyC/0Tz77kZpadcEjDZR5L+vuncu7C\nw1i0YgNAx5UvZuJufSP+LtsXreTchYdx7GlX1/72lGnHtDHRjjq0ml6oQ6eSCIZrgB+o6nVl7pm4\nW19hn0yo1P9dpg/jZ3Cs+r3bxlOFYTtg36ydUofR9Fmn1KGIojp2Sz3GmQnAo4BXAU8Afhj9nmVR\n1ej3NXqhH3qhDtAb9bA6tIYjT15beM1V5xw1DiVxjLtwqKqrgFU5v/9URPpFpKKqmQc7DgxsKZXf\n9h1DdX9F5JcJAAAgAElEQVSXvW886O+fWivPKccdBJSvV7s45biDarvC7Szz0jU38eA217cnLr+u\n5lvqhT7/XRrxmIDOb/ciwrHUzXTCJJ3BlwBV1Y8VXXjgzOls3zHEKccdVNgn5500u6YxPO+k2aX6\nMH4Gx6Lfu3E8XbB4Tk1jeMFit7PaKXVots+6qR/y6thN9chijOame4EbEq3fHSKyBRgUkd0T89EZ\nwKbk317BfTOAnwbf35IEp6mo6o68DHuhH7q9DtAb9bA6jJ4ywWa8pjCrnGMxN3WE+YGILAIeUNUL\nROTJwF/yBMNGsMAlrafb27FbghR1CrtoW9V24JMogdtU9SNlblx2wiENvWxWLpzdcOF2sb4ozarF\nY29u0yy7Qp/tCnVsMd8DLhSRs3AaxCnAd4DX4MzXXwNcA/wMuEBEHoGLSnowLnLpNOCYJJ0jgc6y\npzYMI5N2+xXmUalWWyKDjQoRmQF8BWdiMQE4SVUznRYWrdhQ3b5jqNSLKNQmddqh5+3esWgF7ayD\n1xKEC8JmBBnrh2zG+/kZi6hbjZCYtX8ReAwutPzfgD7gQWBzctnvVPXdOclUbTy1H6tD59AL9Rir\nuUlE3g7MTz5+DLgJ51qzO/BH3PEUQyLyGtyRF1VghapeIiITgAuAJwIPAW9R1btzsrO5qUPohXpY\nHZqj1ULhWMxNHaE5TCazwwovTLj1rgcAO+OwXXSCJmnB8vX4fY0Fy9fXtC+9Ph46oe17GVX9KfC0\ndpfDMIxdA1U9Hzg/+vqlKdddwXDUZP/dTmDe2JXOMIxW0snawpBOiVbaFBsHthZGRVsyd1ZDx14Y\n+bQjIp1FFnW0o+3t+TEMwzAMw2ieokik4xWFtCxdKRweOHM6kyf1sW1wyMJm9zhZAtHKhbOZPKmP\nyZP6mvLZ6nY2Dmwdt7w6/ZxQwzAMwzCMTmP+We0/s7AZulI4XHbCIezbP6XUtaPRtpjGaiRL5s6q\nCWVjLTAsWL6eOzZtzvx95cLZu5Rg6NseYNvgkI1NwzAMwzCMDmTemevIC+vSadrCkI7wOexEwkAc\n4SJ8V9egLF1zE9sGh2p/h2cMlr0fitvRHw4OUKnA/vuUM2vsdZ+8ffun1MalYRiGYRiG0Tk0cjxF\np9KVmsPxZuPA1nH39cqjWzWazWpxJ01M11LG7dAOn7xmCMu9dM1NLFi+vnR5zQfQMAzDMAyj8yhj\nQtrpgiF0sXC4ZO4sKhWnVRqLRXK4CC9rwjoetFsAGi/hpMinMK0dQj+88fTJa4Sw3AuWr+f2uzc3\n5Dvb65pRwzAMwzCMbqLbAs4U0bVmpVlHGUD9Ano0B56H19uifPQ02he+T8veE5pcdpJA3ypiU2cb\ni4ZhGIZhGO2hSFNYqdSfxd0tdK3mMIux0qyNdcTGBcvXs2D5+lLlaEZz1ypT1NG2b6PtmJXfaDWY\n7TLNDcu9cuFsDpgxjcmT+sxM1DAMwzAMowso0hSC0xZ2o2AIXaw5LKsl6gZtSxh8JdaCptFoHbqh\nDZqh2XrE7dFoUJ3REpa7kTosmTurtoHQK33Yixx72tXsrA7PS15j7k2d9+2fUus//+w3s7sYb26M\n5Zgoq72ff5Z7WTZSF3/P/vtMy83Dj/28+XH+WS463AEzptWe66KyN2MVUiZNP8d4UyI/BsL+L0r/\n3IWH1f6O0xsL4nr5vpk0sa8uQBi0bjc8HDON9kV4vVn3GIYxHvRCwJkiek5z2EqfuLLavF2JTg6I\n0sllawU+UqwdY9HZPLhtqOZHGvuWhv6l4aZQtTq8SC5DqFEfax/kstYCXjBrpC7hPXl5+LbaNjiU\nOSf7tMCltWjFhsKyN2MJUTZNz7wz19W+K+NfHKZ/7GlX1/4O0xsL4nqFfePHKdBwH+cR5jHvzHUN\n9UWa/3anByMzDKN7Kast7HbBELpYOMwTBELTxWbP5SuzGGkVoeZzLHzlwraCkRqHZtLrZuGr14VI\nwzAMwzAMY/QsXXPTLiMUerpWOCyLaVuGaeeRHN7Hr1FfvyJBLj4Womz9ulHANaG2O9hjcl/NjzT2\nLQ39S31EXmjcaT0cC2M9JsqOu1WL59QiSJetS3hPXh5F0YvDtMClteyEQwrL3swzVTZNz+pT59S+\nK+NfHKZ/2RlH1G3s+fTGgrheYd/4cQo03Md5hHmsPnVOQ32R5r9tc6NhGK3EWzRk0WtCoadS9XY4\n3UX1xOXX1Tos74UQmm7lLSyy7oV8H5fR0N8/lYGBLWOeV2zmBPlt1ghhHRrJf/KkvlK+N3E6MOxT\nEqbrF09lxkQzdRgrWuUz0846tJL+/qmVdpehBVS7vS96YTxZHTqHXqiHzU2dQS+MJeiNevR6Hcpo\nCzuBsZibujYgzXgQC2pj5fDutZv+77Hc+WxGKIPW1z30vcnSCIb5pQXVyTvXsFPPOQwJ6xRuYvRS\n0CDDMAzDMIxuoVuEwrGkK81KF63YUFtUF/kStsqfr92Hz4+G2Pym2WinYd0bMQ+NTeBCE6Wi/PL8\nPcfaV7MRRns0xuD24YAP3SDYGoZhGIZh9AoLlq/vqYPsR0NXCoe33vVA7e8iX8Ju8NMajzKW8bEr\nK+CEwtuiFRsayt/7WpWtr+/ftDaKv2uXsNjsxkFYfh/GH1zZ23UOY0gj46HdZTUMwzAMw2iGeWeu\nq4vKHLOrCIWenjArDTUtaeaPozkPz98/1ucoNXOuUyvJOwsxrnuzgkDcnlksmTurLiy979+s4A/d\nTFj+sF3bfS5l2bMxe/UMTcMwDMMwep88bWGjsUp6ha7UHB44c3rdZ68laqXpZ1pa7Y5wmVW/8dDc\nxHX3UfeWnXBIqfsb7ZtYk1a2jO3QEufl26j5bZEvpWEYhmEYhjE65p25jiNPXpv5++pT5+ySgiF0\nqXC47IRDmDyprxb+fFfWVrRKIC4rWIWHOY8lzQp67RbgQ5rtm07wpSxzNqb/rtPNtg3DMAzDMKD4\nMPtdybcwi64UDo897Wq2DQ5RrdZrVrIEimY0a2lptdu3asncWbWzvsbKtLXdZ6Wllafd7V5Eq4MV\nLZk7q3b2V7sFrqyzMcM6Q/vLaRiGYRiGkYdFIi1Hx/gcisj7gTcA24F3qWpTq+w0s75mfaJiAbPd\nvlXhkRfzz1rHqsVzxtwXMmY0+aX515UJktPudm+WMm2V5su5cWBrzd9ywfL1Ne3heNY97WzKXQUR\neTpwJbBcVc8TkccBa3CbafcAc1V1sJ1lNAyj+xGRQ4GvA79JvroFWAZ8hWi+EZE3AO8DdgLnq+pq\nEZkIXAg8HhgC3qqqd45rJQyjCygSCs36qZ6OEA5F5CnAa4FnA88AjgIyhcPLzjiCV7x/LdXqSLO7\neDE+Xj5bY3mIfRrVqsuzmaMpRstoA/xAccCVslEyR1OeVrFk7iwWLF9fdxxF+FsWWeccVoLjTAe3\nD7VdOE47G3O8NyXGCxF5GHAO8F0gEdH5KPAZVb1CRJYC84DPt6mIhmH0Ftep6rH+g4h8iWi+EZE1\nwAeB5+A20G8UkSuBVwB/U9U3iMhLgE8Arxv/KhhG55InGF51zlEMDGwZx9J0Bx0hHAJHAJeq6k7g\n5uRfJotWbKhpVsKD1GMtE1BbcI/WFDNvMRwu7L3A1gxFi+04imerGcvFftg3Zc85BOr83jpNkxuW\nxfd/OB6bZf99ptU2Nfbtn1Kr58aBreNW1zLCXy8JhQHbcPPRqcF3s4G3J39fBbyfHOFw0YoNdcft\n+PEbjn+/qRVqZ7MCGm0c2Mrg9iEmTXRR0/zYr1Rg1eI5tTkhvt+/EP3z5uelrI2s+Puw/31aq0+d\nM2JcxBs54Ybc4PYh9t8nf0fW5+ufodisx6d/xybXVqsWj/zd/+bnxsmT+rj8E0fk1tffG2vIs3aQ\nfT5hHvv2T6l9V6kMB9LaOLC1Vh/f//47329p6UP9ZpM8fjqnHHcQQF0fzD9rXWpb+Lr6ck2a2Ff3\nDozbwY+vePPHE46huD5+jvD3p9W5qN9D33V/T9F9Pk+gLr94fMTtGde9iHHc8K1En9PmGwVuVNUt\nACLyE+BgYA5wUXLtD4DVY11Yw+gWzIS0eSrVsZI0GkBEVgI7gH8DJgILVfWWrOuPPe3q6oPb6rU0\nftESChVA3efRLGbzFsrhS66RsLf9/VNrOxZx2bPKGgqHrVSDl83fXwuuLcI65BG3UZ6pZFo/xtc2\nUt4iytYhi3iB2Uh50rSpsZ9rvHhNG2ON1KGTNX79/VPjhVJbEJEPAwOq+jkRuU9VH5t8fwDwZVU9\nOOveI09e2/SkWtT3lQq5m0P+/rSXohcO0uaq+Pncb+9pdQJuVl5AKfPjrGciFhA8/qWd1QahAJCV\n/x6T+9hZTa9v0b1pfuutNLOOBcQw/biPD5gxLTPvMJ2stozx7VA0bxUtrEKBMQufZjw/FZU1T0Av\n6gcvpKe1Z9n3c9o7fSzmJhGZDXwO+APwKJyVwlfi+Qb4LPAcVV2YfP9R4M/A0cAiv14SkT8B+6vq\njowsq92uJRnt+7pT6IV6dGodysxdfh7o1Do0wljMTeOuORSR+cDx0dePBa5R1ZeJyMHABcBzs9KY\nudfIhUt//1TOXXhY7VB2f8TCohUbuOvezUzcrY/+/qlNlXnRig21F83xZ61j7SePqvv98k8cwbGn\nXQ04k9dG8GXadP/wbvum+7emlvXY066uWzSMpk4xE3frq/s7K92wLc6+5GaWnXBIqTKEi8399s4/\nAiPsR6B2n88vvOb//vRAZns1wmju92W5697NzNyr/PEe/l6grr5h+4f94tk2OMS7P7V+RF55dQjT\nj/tvtMTPXI8zpsJrUd9XGLZ1Lbo/ZkJl5Gd/bfhbfF1eXmXJKldWXkVtkPd7VvphfYvujcvbSF3L\nENYhTj/u47y8w3TK9ptvhzjdRt8nZfIL0wzTLro3qyxl+qFCdnvGYyCLvHHTYm4DTlfVr4vI/sAP\ngbCSWS3V6Pc1xrAu40Yv1AF6ox6dVoe8oynAmZHGdFodOoFO0RyeDtyqql9LPv9FVR+Tc0v16A9c\nXWdSUuaQ7mY1TPFuZasOxWxUcxj7paWZJo2GMmY0cTnPXXgYJy6/DigXXCbturzvQzOuuF2a1djG\njPfOUTPtAPWmap6snfn4/tCkscxzU5awD1qRXodqDm8Hnqyq25Kd/veo6jFZ9y5asaHa7Wal/f1T\n657rbjUrHRjYYmalHWBWmjY/dZtZ6XjMTSLyc1zshYeF8w1Oc/gOVX19ct1q4Aqc5vASVf1eEpzm\nTlXdNycL0xx2CL1Qj06qQ5G2ENLNSDupDs0yFnNTpwiHzwPeqapvFZEDcWYVeavM6sDAllLmca0S\nIEJzzrEQDqGcud9Y+UE0a1Z69iU31zR7jdxXlG+aQB6bonaScNhM9FVf32bu9TQqHJZdgJVhNOa0\nWXSQcHg6Tjg8T0S+AGxQ1a+KyArgV6qa59tjC7AOwOrQOfRCPcbIrPT1wBNV9SMi8hjgZzjfwevC\n+Qa4GPhfYBYuKukvkr+PAOao6ttE5NXAK1X1TTlZ2tzUIfRCPTqlDqPxLeyUOoyGnjArTUNVfyYi\nLxOR65Ov3l3mvjIL0XBncjQHiq9aPGfMHdTL1Ge8oqHmEZbzrnuHhYO8yLCtCCAT3++DtVQq7W2X\n0dSt2XvTIohmEQpwGwe2jklbjdXZm+ONiDwf+CLwGGCHiLwD+C/gwuTvPzIcAMIwDGM0fAu4WER+\njDMnXYATBr8czjeqOiQipzIcRfl0Vd0iIpcCLxGRHwEPAW9pQx0Moy1YwJmxoyM0h02QufsVmrmE\nJkCQPVBis6hGg4k0G9Y/Nitt9P5W00wZymgOfZ9kmR/mmVP6vgRGaL/StFaNaOH8dVk7R2XPKIzL\n1kjejZplZpUpqw6x6VarzZFbPW47RXM4Smx3vgOwOnQOvVAPm5s6g14YS9Ab9WhnHfIEw0bWOT3S\nD72pOWwVoRYmLcJd0T3hd0WL3fj4Cv93M1qx+Ly7Is3OaBbkefc2ahIKLghJls9hLBRmabvKHpWQ\n5kMS/15GCxdf54PCNJJWI0dzpJXff479gcb6qArvE9UqekFbaBiG0SwiMgl4rKr+WUSeATwduEJV\n/9XmohlGT5InGJq2sDVMaHcBmmXpmptyAyGA08RUKq3RlixYvr4mkISL+kZIK3PMtsGh3Gu8UOLP\n02s0/7L3Ll1zEwuWr6+VOe++tMAU/p7YrNdr98qUPb5uydxZtfvDwDytPNLDE46lNHPZOOhG3rVQ\nru2zfvdjr5m+X7lwNpMn9Y2qncr213ilYxiG0UFcBLxARGbggsQ8DbiwrSUyjB5k3pnrTDAcJ7pS\ncxgepxBqWtIEtiKhMDRFDL8LCYPRzD9rXZ32xWvDis5eytNELZlbf7h9nu+ej8gW/90K0swkb797\nc0OH1qdpvkKNYVkta6xNzfKvmzRx9L5ui1ZsYPuOoVq7r1w4u65PY1/VWONXdG0W8dhLG0NhezXa\n3z7tZnwM08o1Gq1mK3xODcMwOpAZqnqpiCwEPqeqy0Xk2nYXyjB6CRMKx5euFA5D/ILeh/aOKWOC\nWRQdNPRbDI9V8Pe2QhsSHtpbNnDOpInlz97yZTxgxrQRwmea+WeID1MOxWaEGwe21hb/cQCfLI1r\nWh+FZdw2OMTtd2+umdyGQua2waFSprhxGT2xXyoMm/aWGTuhNjS+No4SGod3j//27ZWV36SJIyO2\nZtGqIDnxWMhrk07wmzUMwxhnJotIBXgVMD/5zg5OM4wWEMdNiDHBcGzo2oA08TmH8SI/DlrSjEld\nmj9iVlpZwkH4Xfw57yiLImEjrGN8XV490s6ryqpjVjCYMC9fhzQBM9aupQUIissWCltp5fJHVmQd\no1BGQMlqjziPPMrk08hRG3GZwnPtykTJTRtLzY79rKMvIHsclMmvTJtZ0IfOoEec9K0OHUIv1CNr\nbhKRM4F3Ad9V1WNE5CTgmar65nEtYDlsbuoQeqEeY12H8dAW9kg/tHzd1LU+h7F2bdXiOTX/wtWn\nzmHJ3FmFfmNFpN2TFrJ/wfL1bBzYmrpYDv3DvM9cFqFPXRnfso0DW0tf5wn947KoVFxZvJYuJs13\nzB8tkYbX/IWkmar66/Lq4jWFMT79ojb213hN3sqFszlw5nQOmDGNyZP6SguGReMprkMjx6hsGxyi\nWqVOK7pv/5SGNNRhHRvx8/RjOby3TJuWeb7KpGMYhtFlXATMVNVjks9rgQvaWB7D6HrMjLS9dK1w\nGC9+wQmIkyb21YSHcEEeC0VlFstpC/r4u9C8Mcu0NYtFKzY0vOAPo66WEfSgvsz77zNtxMLfC0bh\nNVmEAmkspMVClw8I5ElTUqflHwsaXmjzpAmbWdFoswgFlWUnHFIThssIhj7QTtgG4XgKr5k8qa+U\n5i7uW8/g9qGmgxA1utkQjuVws8PXLe2ZC++D3jnv0DAMIw8RmS4iBwCrgekisr+I7A9MSr4zDKNB\nLOhMZ9D1Poch4YDyGhcf6KVaHQ5sEpo/pvljpQmXMKxRy6JarU8v76DyogA1WSZ4kyYOm0GW9UEr\nMrfMM+PMY9vgEItWbOCU4w6qSyv8u+iQ0vCeUDiBkX6dadrHbYNDtWi07fB589q98FiTcNwUHVTv\ny5zm+witOXpiNBr0Mkd6xBFps9LxZspZZtaGYRhdxPOBk4BnAj8Ivt+JO6zeMIwGMKGwc+ha4TBe\ntGZFcgyFqcHtIzVOMXnRIWPhDxgRqfSOTZubErRishbMXuD1f482vfD3rMV6/FsYWRXyF/mVyrDG\nsFIZDqKTVvawLWNBIk2o8f20/z7TRoyHsvUOSQugE6cRR1yFeg2u17qlBZ+JyfOrjIX+MqasWeRF\nUw0p49+Y19dZWsOwnqH2slejlx71/rXsbMKV22uO402f8IXp/XSzNhO8WbQfo+Hz5++NfYPDOWXV\n4jksWL6eCRU476ThMeCf+dgHNXxO43nB+4JDfRl8ffzLPh7bWemF7VSt1vsfZ7VH2C6+zqtPnZOZ\ndlx2f014f9imaff5uoRtPLh9aMQ94XwYXr/61Dm1/ttjch8PJWbmaZuNaZYAaXOKz8uPq7hfwt/D\nPo0Xa7HPethGcbtUKsObW+FZsvH7OmzjcNzHPvh3bNpc88OG4Xd1HDE6HFe+rmG50vK5/e7NtfKG\nz0dYl2998qi671T1GuAaEVmgqitHNLphGKUoUiKYYDj+dG1AmhOXX5cbVCQcTH7gpQVJSdMa5gVS\nCU3qsrRZ4Ysqz6Tw7EtuZvuOoVEFC2nForoRDU4sGE2oUFsIZwXqaaS88eLVL5iLFnJA6ngo40PY\n3z+VMMBRmT4MNWFh3mGZGokomndv3CZpaec5VY92zKQdaxE/BzBy/GQd0+EX0Gn16YWANEeevLYr\nJ9WYUHAcq9fEATOmjWojLU9Q61VCP+LRbkKOFwfOnM4pxx1UuszxHB6+c7yLQV4Ew7LjKm3tkMPQ\nVeccNWJDXUQeBZwG7KWqbxSRVwA3qOpA2YTHEQtI0yH0Qj1aUYd2C4Y90g8tXzd1reYw3FmEkYtP\nGLn4TjuQPSbWnixdc1PdzmZ4T5pvXKh1KtL0LDvhkIYH5WiD7MQ0cuRB1lEUrSxPvOjJ0hykmdSm\njYdtg0NjopkK02vU1zRMw5c5bbcasgXIRmj2bMysaLsxaUJi2jEeoTAd1rUV48YwDKNNXACsB16Q\nfJ6MC1JzeNtKZBhdgJmRdi5dG5AGhgNuxME8/Fl7zS6q9+2fUosOGZs7xdd5fBCWkDLRNxslNGEs\nG5DGkxaEJz7zr5GyViqw9pNH1e3kpgWp8QFlygpo/p4sfCRPX+ZYOEsbD0WsXDi7LlppVvCVMvi8\ny7SlT3vf/imF+ZUNbuPx/R2arpU9G7PRIDhF14fRbHtdGJzQ5B6ej7bs+/mAGdNGvCBXnzpnRKCn\nkMmT+lh96pza8xNe5+8Nny1/fRjpefKkPvaYPLzR5SNBw7Cg7//5svo0Qnw54zKEf4cBqfy/rPTC\ndvJlX7U4vz3Ceob5Fl0fpxnen3dvWJfw3rR7fF/H14f9t8fkvrr6hs9/OEeF/9KIx1XcL+HvYR/E\nhOWM2yiuY6UyPF6WnXBIXZl9/nEbxwHN4uBmfn7283V4X9h+YdvE5UrLJyxv2runUoE0rWFCv6p+\nGtgGoKpfB8qHpzaMXQwLOtP5dK1ZaaxxSzsvLy2ipfeByFpg55mKZvlTxf5xcTpZC/pm1NnhAxVr\nKsvWq8g0Nk8Aiesbm2SG5SpjDpnFaIT7Rs+4bKYf4vYO+yU0dSvKu8w4SfMDjP22is459AKZ75ew\n7GXLlVfWrOt9PvHzGZoNr1o8/CLoBbNSzHSrI7A6dA69UI+ccw43AC8Gvqeqh4nIY4GrVfU541rA\nctjc1CH0Qj1Gu4aNaYdQ2CP9YOccehYsX1+npQq1RT4oSMz++wwf3xBSdKzF4PZ8v8A0DWEzGrMi\nYq1cKBg2c9RBUV5p5wnesWlzrT2WrrmJRSs2jNCoeg2iP86hGXz7xTve4b+sHXx/DEORJi7u97Jn\nAaa1d7hzXVY7l1butLx8BFefVzi5Zk20sfmx320fzVjJG9Np7Z32rEG9ljQUDA3DMLqQzwI3Ak8W\nkauAW4Bz2lskw+gsTFvYXXSlcHjsaVfXFszhOXPNKEHDxbJPKxY88hb7WSZy4aI+TchKu37B8vWl\nF+x5Zpdp+MU7ZPudeSHMa/visofHgsw7cx23372ZW+96ABjZZqPFt583IY0PuV8yd1bmMQ+hn2GR\nJvX2uzfXzpscjYDdrKlkaEIbCoCjJT5OoxWkCaoheb6JsfCY1zeGYRjdgqpeBhwJvBf4InAQ8I22\nFsowOoh2B50xGqcrhcMQf0h4TDMaq1AIWbV4Tp0PWhphgJZQmxL7KhYt+r1gUuSjGPvF+XuBQi0Z\n1Icv93564aLd+9o1w5K5s2r+Pz6tWIC9Y9PmTI1kVlnzGCvfNe+zmkfoJxSPg7LCmN8QCH1HfZ2y\n/EMXLF8/wr8mjSzNaVmNdtr9ecGQlq65iflnrSv0OwyfkUY2QwzDMDoREbkA2Kiql6nqt4CHAze0\nuViG0XbKaAtNMOxMulI4nLnXsEN7tTrsW5anuZo8qS910R8GRIjxpniePLNDLxCEgl6z5AknYZlC\nbZevSzPEWpw0IRSGA1P4wBUHzJjGgTOn14SW2McsbgOvBSzSpsZaYG9aGvu4pbVx2aAtcb+Hn72Q\nPv+sdSPKGfavvy6OiJtn0uqFotDsNqyr3+zw6cZp+zyzAkbEdUzLP0/7l3d/ljbSl7dIc++fn7Kb\nIYZhGF3ARuByEZkkIvOA7wIfbnOZDKOtmLawu+lK4fDWux6gWq0399w4sDV3cRourNMExFAgygo8\nE2pFGtHYVSr5glscsW+sFs2hGWaWSaZn5cLZtYit4DSN889ax6rFc2p+YkvmzuKue0cKSmXKnRdp\nNdZKeaEyTVjzeKEwFlqKyrJtcIhb73qgZoYa3u/zLaPpDMkyaY0FyzSq1caOmxgLstqtrNYx7ffw\n+en1aKWGYew6qOrpwNXAbcBxwH+o6tVtLZRhtAnTFvYGXSkcega3D9WEs0b8qtIW32kalaxF8saB\nrbWF7h2bNo8w24vDiXshNi09/51PI0toKhssJYvY1LXM9b6O886s9zUsQ5pGNtTsxsJpqFUKCe8v\nI6yF/qON+hCGAn+WFjoOH9+o72cZJk1MD30f08yYKArUE/Z7fERIltYxPnok7VkMn7nB7UNj0m6G\nYRjjhYjMF5F5ibZwAs6UdBJwePKdYexSmLawd+hq4XDSxL5UDU3Rwr1azT+DzptJxsKFN2+MtUux\nsBILYV4DF6e3aMWGuoW4NzH05y3Fx03Egk7W4eaxX1+oscozuywrbHgT0qVrbuKyM46o+y3UknqN\nbNhWacRmlGE59+2fknpO2Gi1T6EgeODM6cCwYAn5PqexCW64GZB2xENobhuffxZTqbg0izS74QZF\n2TWoXxEAACAASURBVD7zYyIvGEzYrvHYzvM5bDToTaNndBqGYXQYLwr+vRB4ELgj+M4wdhlMW9hb\nZB3qOq6IyGnAS5KPE4C9VFWyrt9jch87q/XnvsWHue+/z7TUsw6z8H5y4bl8Ydr+u/B8Ni/seJNH\nf1RGzO13b25IUxJqGrOEOH+dL4+/Z8Hy9bXvFixfz8qFs+vaJjyPMRQqwjouWL6+dtyAb5vwwR/c\nPhy4Z9GKDXXn1sUCYKMmmWE5YdifdPKkPga3DzFpYvoZlmnnPYZ/h4Rn7vkDmk9cfl3td+/zmReI\nyN8fB5QJhfTwOt+X4fmP+/ZPGTHewnM4ffnv2FTsz5dH2pjwZbpj02YmTRw+l7JZX9kiYX3/fabV\n9Vk3Ha8qIg8Hvgw8EpgMfERVv9feUhmG0U5U9S3+bxH5d1X9v+TvZ6nqL8umIyJ7AL8BPgqsA9bg\n1kH3AHNVdVBE3gC8D9gJnK+qq0VkInAh8HhgCHirqt7ZiroZRllMW9ibdITmUFXPUNXDVPUwYBVw\nft71l51xxIiFe6zNS/Nt8hq5PEEtXOj769O0Il6zFOfphYpY0xWe7eaFlWUnHFJ33pvXVHnhx6cX\nmgLCsIZr3/4ptQAxZSKqAqnayDiAjvcf9OcFgnvAffnioz3ivMPJIhY2siJopmkG44iv1Wq2hiot\nIE5Y3zwWrdhQK1ujPp9xQBlPkRlvGBk3C6/h81FgGzXFzNMEh0Fk0kx1vZY87Nu8gDRpQmWsNfV9\n3+w5kG3kLcCtqjoHOBr4dHuLYxhGpyAiS4EPBF+dKiJnNpDEfwP3J39/FPiMqh4C/AGYJyJTgA8C\nLwYOBU4SkenA64G/qeqLgKXAJ0ZVEcNokCNPXpv5m2kLu5uO0Bx6RGQ3YAFuAiwkXHim+RFmaUHC\nxX8sLIV4TeDSNTfVaQo9KxfOrtPKhOWKr/UHkceE+XutXtaCPhY2wiA8oWbKL/S9Nigk1BzFhOft\n+f99umE6ofZ02QmHMDCwJTU9n2bacR8xcXuF9wxuHxbAfDt6rZf/PtRmhn2Spn1dMndWnTAUntVY\nRtu8ZO6s2pmPvh383/vvM61uLFUqw+bPaaRpD/Py9BRdH2tH/fOR1fc+jzyhOtSuZ+HNitO0pmGa\nYfv5I07yytZm7gOelvz9KGAg7+K8F2Yj+A2TRrSslYobg2naZv8s+vGaNqeFz2saq0+dU9rvuIhw\ns6tZisob49sHGtPIp7WVZ/Wpc1LfH4br49D6A5o7ZqqRfMrgy7Jv/5RS42DypD4u/8QRWT8fpqov\n8B9U9VgRub5MOUTkQOBA4NvJV7OBtyd/XwW8H1DgRlXdktzzE+BgYA5wUXLtD4DVZfI0jNFi2sLe\npyM0hwGvBr6jqtuKLoz98Mq85LP8uOIFb+iX530Ps9L3UU5jP8FGCOuyYPn6EUFD4iiXaZE5Ydiv\nLIw0GmvlvGY0zf8tProDhk0s06JsVqvDWrcwrayJIU/rl0fY9j5/r1HzFPnohYSBVdL86PKOofDC\nU5hfrAmL/fbSjo0Ix1h4JmSjvpRFkUN9mj6gUKzJizWEZQ6n95sraf2W5oObRth+zUaFHS9U9evA\n40TkNuCHwMLxyNf3WaP3ZM1Xsel33jVZtEowhHof32ZpVNDw7VPm6JX4vizmnbnOBMMM0o7iGet8\nyhBG2C4zDrYNDnHkyWuzMpkoIpP9BxGZCpQ1j1gGnAT4t/QUVd2e/D0A7A3sRf2G1F+C7+8HUNWd\nQDXZYDeMMcN8C3cNCicSEbkU+KKqXtuKDEVkPnB89PWHVPX7wDyGd81yuTPQFN65aTN7TO7jwW35\nL55N929l5l7Di9KJu/Vx9iU3114se0zuY+ZezgcNnOATv8wOnDm99vuxp7lo1fGO4rkLD+Oo969l\nZ/DS2W/vaZx9yc21e336vlyebYNDnH3JzZy78LC6cobst3d9GYHakRIAx5+1rpb32ZfczLc+eVSt\nPNUqvPtT65m51zQu/8QRtfvj9DwTKvXlSyPMb4/JffT3T62lFbbfxN3qf7vr3s3M3GsaE3Iic8bt\nP6FCLQ3f/lA/Hvbbe7iPw/b2hPWZUHF9ete9m3lwm1ss+D4O28YHDwLXpnEae0x2GoyJu/Wx397T\natrIuO5hOuF3obb23Z8a1nyu/eRRtXrK46ePSHe/vafV2sP/D24MhmMjrLu/LhxjZQnHoh+r8fj0\n7eAD/cR9sGjFhtQxlTcOGkVEDgf6VfUiEfkq8Dxgsape0URabwT+pKqHi8jTgS8m6RmGYXwe+J2I\n/AK34f5c4PSim0TkTcAGVf2TiMCwgOjJmhEb/b6O8D3RrfRCHaC76lFkEXPVOUeNU0laTzf1w3hR\nZpfpSuC9IvJZ4KvAl1R1Y7MZquoqnF9hHYld/b6q+qeiNGLBa2eVVMEwNknc59FT2L5j+Lrwb5/O\n9h1DNTPJ+Hf/3cDAljrTxSNPXjtit2RiECymUhk2XTxx+XUjzO7S8vABUpbMnVVXjsmT+mq/L5k7\ni1OOOwigzuSwGqU1MLCF/YKAIA9uc2f7+TSAEXXyFAncsbCys0pq+02e1Mcpxx3EwMCWurrfetcD\ndWaPRbu4FyyeU0sjLFs4Hu68Z3NNE+bLEpuBhvXzAWl8mXz7+s9hsBr/e5jfQ4Hfoa9PPPZ8P8Tj\n78Tl143QFob1CifkuK19XQcGttDfP3WEea/PK0zvocH6sRUTmiR7Qm3jKccdVDdOtu8Yqo3n0Dzr\nzns218ykw3KljXtvenveSS01K/0QcKSIvAw3zx2EO4usYeEQeAHwPQBVvUVE9hWRiqqOaVgdMyst\nxsxKO5seMytNNU9R1VUici3wHFzAmJOAbF+LYQ4H9heRVwP7AtuALSKyu6o+BMwANiX/9grumwH8\nNPj+liQ4TUVVdxRlmucG0g2kveu6kW6qRxkz0m6pS0w39UMWYyHcFgqHqvo14Gsi8gic2ef/iMhG\nYHmrtIkJzwBuLXPhzpIv9HBx7on9qmJfutAXMfYty8MfEO8JfdfCqKLeTDPLfDBeMKX5H8a+XAuW\nr68TfFYtnjPCdyxtAe9NA8u+IBulbGCY0Hcyrn+4KPO/pS3EwkVibL4a92Fcz0UrNuSOi7S6eGHc\nC4FxfcosgMpel4c3WfVawHBspaXtzer8tWG/pEU1TfMd9H6S/v80c9DQ9NQLiXFkV09WlN9R8i9V\nHRCRI4A1qrpFRJpt7D/gNIXfEJGZwNY8wfCqc47qiZdNVh26xWxoPF/6YzB+gd5YuEDv1COHKTjT\nzyrwJFzQqifl3aCqr/N/i8iHgT/iNqJeg9uIfw1wDfAz4IJkDTaE8zd8HzANOAa3cXUkLtKpYbSM\novVvL7zrjHRK2acnWr1jcFH7tuJ24N8nIoep6pIWlWUvXOCHlpEWFCbreIiYNC1a6N+1cuHs3N2U\nONKm144URan0x3CUJY4UOWliX51gEwo0aRrLMlEzR0NaW4fBgyqVekHaCx1pWoWich4wY1pdu+dF\nG03TBMQRVNMEbKifMOMxEtfHR59tZPEY77aXFSDLaC8aTS/exAjzKDNu/Pgqu8nSQnYXkVOA/wLe\nLyJPxC2mmuELwGoR+SFuzixl+m4YRu8jIp8GXorzA7wNeCLwySaSqgIfBr4sIu/ACYsXqeqQiJwK\nfDe55vRks+tS4CUi8iPgIdz6zDBaggWd2bWpVAtWbCJyIW7i+ybwBVX9dfJ9BbhJVZ891oWMWbRi\nQ/XOe9zCNIxqmbfojTVQ8UHlIXkaHX9vvNgNzwT0aaaZz5VZIId1iYWk8MB1KG8aFdY5TfD15cs6\nRzCrnBMqzlzXCxF5ESez8vV1Cts9rZ29VjQrrTgyaphW2E7eDMwLoucuPCx39ysWEosEnTDvOK8y\n5xeuPnVOTRtXNKa91q2/fypHf+DqQsEvbpdYaPX5xgKu/w6KhUJfrrA/i8zyPP39U1vieSgiTwXe\nBlyuqj8SkffgjqNopbVDFtVu303tBU2P1aFz6IV6ZM1NInKDqv6HiFynqoeJyLOBY1V18TgXsQw2\nN3UInVqPok3m6H3dkXVohB6pQwsjNjjKRCv9MfBEVX2XFwwBErOqt7W6QGVYdsIhtcia/uy9MOJj\niI/GGEaU9BpET6wxKlpgh2ac4NIPI6eGecf4SJgHzJjGgTOnp5Y5zj+MXurP/9s4sLWhiHvexC/U\nNPq2Cc9QHNw+NEJbFAukIZedcUTN1DArGilkC4ZhHbPOk/RnOYZmuysXzh5Rrrz0Vy2eU4ukFUZf\nDevqo72GUUnjSLJL19w0QrMb93NYDh/JMDZZzhIMK5X6aKp5VKv1Guq89k8jfg6A1Ii1vk7hBkXa\n2A7L5aOwtvFswzeq6vtU9UcAqvpZ4HUF9xiGYTSK9/ObLCITVPUXwH+0s0CG0QxFkZdNW7jrUEZz\n+CWcKYNfDlZxdu8KfF5V/zmmJUxh0YoNVR9so8j8Lk9jER8V4b/L0hx6ASUUdLyWJNbsZT1g4bEB\nfscia6cmPoS8SMAK7ytzfl4ocGVpw3xaWfU5cOZ0tu8YquuHNOEiz0TB3xPWL0wnz28xbrvQjDPr\nvvieA2dO5857NpceP/FYayRIh69XVnvHWs4y2uYDZkyraT99nfPGcKzVyzqCJRQcw/FdVoMaatPj\nZybWuvs0R7sDJiKvwvlGvwTni+PTmwgcoqr7jCb9ktjufAdgdegceqEeOZrD84H/xQWVmYVbG/2H\nqh40jsUri81NHUKn1aPoiIo0Oq0OzdAjdWiL5vDPwP7Ab4DfJn//K/l/TasLVIZb73qA2+/eXOe7\nliUE5S1e/f2xX1uWaaTXfoRnG3qzPq/BLHNGnF90L1qxoWbGl6ZB9JqgUJNVBi8cec1NlpbH1yfW\nhMKwVrHoYPLwmARw9Zt/1ro6zVvR+XVpfTe4faimyUvTyob4to/bMDyzL2zDcNwU4aM6hmnv2z+l\nrk0XLF+fqbVO024uWL4+069048DWOi3bpIl9uZrbkFAYblSL6Jl/1rpasB2voQ4112E+YR3SxljY\nb+E4GmPfw+/gQsv/HXcwtP/3baDxszsMwzDyeQfwFeADuIPob8MFiDGMjmfemeuaEgyN3qaM5vC7\nwOGqOpR87gO+qapHisgGVR15kNwYc+TJa2uFLuvHl0aRViwmfEjChynNnzGODBpSJoS7F8xirWaR\nj2GWQOcjRYb3et+2PP/KEO83F5ZhQsUdL1HkA1iEb7e0cob4Pojzi/PyfRL3cVqZwjMy08Ktx2nE\n2uW0PGKNb16d0trCt3HYLlltufrUOZx9yc21oy7StNleIA6/j4Pl5GmP08aiH+dpWsowqE7ReB8j\nn8PdgYcD+6nqjSLS5+ewccB25zsAq0Pn0Av1yNEcflZV3zPe5WkSm5s6hE6ox2iFwk6ow2jpkTq0\nRXO4N/CI4PMewBOSsMrNRv9rGc36MlUq+cFT8ogfqLQF9ZK5s0Zoh7x/X5nIlV7DFLNq8ZxcTVKW\nxmjlwtkjyhOn7337PHds2lzT/nhiP8edVadJalZTlUaeEOU1kbEwEn8Oo4nG0VlDKpX0sxzDdli5\ncHadb9/Gga11/q55gqH3H/SCapqGMSY+bsRr3kJ/1ZAFy9fXaXCrVZdG6Kfq0wu1poPbh0qPxSzi\n+ydP6mP1qXNq2vQ838Qx5lXADcCFyecVIjK/baUxDKNXGRSRF4vI7iIywf9rd6EMIwvTFhpFlJnA\nVgJ/EJFfiMiNwF24M3heQcph9uNNvGj2C3D/dxZ5QmXWfeFB82lUKsOLZW8OGZc1PBbBB6TJyi/0\nCcsTKr35ohcafOAUKDZJDYW6ajVbMLtjU7pPXhYHzJiWGSQoxpvjlvWpTKNRIcS3e1xfHwgm/H7+\nWevq2mnf/ik1gTjWPHuh3v8LiYP2ZAlPWX3gzWTjcZB1niHU+x7G/Rs/A2Hwn7DffJCcmDSTYV8/\n35fhuYo+zbjOjZhMN8DJwDOBvySf348z/zIMw2glx+P8m/+FC06zA9je1hIZRgZ2RIVRhjLnHH4B\nuBh3ds8E4HZV/euYlqoB5p25rk5w8gN/48DW1AO3Pd73L47MWanka0qgPgBJaKboNXNZQo4/WNyz\n7IRDUgPSxKayod9cbMKXFVQmPlvOR8n0efnz+OL6h3h/Oy9EZLWL16TF9c5b9OcdWp93T9zPYVnL\nkmY6CsNCS5YmOBSEfH+lCXdhuhsHttYFZgnLvW1wqNQRLFnHTYQ8uG1oxLjJ6ltf/zTNedqmiRfw\nQoExy7z5jk2bR5y96csSCqkhYRTXFvIPVd0qIgCo6oMisq2VGRiGYahq2y2oDKMMpi00ypIrHCZn\nGf4w8Ssck+39VuAXl3nmg2nEglZZH8Rwcd6IpisWVhet2ICPuhqWwft3QfG5ifvvM60mNMaL7rTF\nuxcYQo2OFwCzNFDbBofq/OxinzYvaMeH2ee1TSgQ+jrmRfGM72kkQmgaedq2GN/G/p5Q6MpqN09o\nupmmeS4aP7EpcF6d08qycuHsunvCjZR4jBVpbn375/VtOK48ZbTH/hk+d2HLYsbcLyJvAR4mIs8C\nXgsMtCpxwzAMABHZBzgJeAoumvstwKdU9S+5NxrGOGFCodEoucKhqlYTc9KPAtcDg7jQ8FVVbX5l\nPkrCACKeRiJQemJB0C/kR2PeCKRq0cAt3rOOBwi1S+H/RRQJsvHRDllCUZmjL+KjJUJNldfUhprG\nPNK0Ws2aF/q282Uoc7xCmqCddZ8PxOMJhaSsg+F9etVqYwFpYk2iF5qK+gZGCpphZFyfdtpmQxmt\nXRiApgyhdtZvKIwz7wQ+DkwFLsCd13r8eGR85MlrxyObMSNPm91IkKkiygTYMoyxpOx4Tq67/qpz\njnpBys+XAeuAFTjrqoOBy4FxD9ZnGDEmGBrNUMas9CDcbtiLou/bJhym0cwC4/a7N9dFVaxWnXYn\njujoF7fefDNNuxj7BHrtX7z4if2vPHnmnZ5Y8MrScoaCTuwDlkdaeuFxHVlCSmyKW+ZlG15TdF6e\nJzQ/DCe82+/eXJvksqLEpgWKAbepUMFFXM06bxIYcW6iF7T9GAoXGbEGOm+hHf+edm1WmcJ+Ttsw\n8fXz+ONB8oIWZY2T2+/e3NCmiTeZ9eT1b9kNhUZQ1QdE5D3JBtfuwGNU9W8tzaRHyevjVgmGULyx\nZRhjTSPzGdkH21dV9UPB5/8RkWtHWTTDGBXmW2iMhsKjLDwiUlHVjtjjDY+yKCLPjyzt9zQTy3Cx\nH5tU+t8Htw8xaeKwSWiRpueAGdOYuFsf23cMjTgWITYrjYUWL4jmHT0Qplf0Aswzpw01RmWElKJ8\nRru4zNL8paUdHzHiSdOeFR0ZER4HsSo6uiMt7zKH2We1R5n29JsVfpxM3K2vdpRFnAeMXASltYdn\ntJrzMO+sdMI6RvW9IWN3viFE5DRcgIjzcSbx/wS+q6ofHG3aRTQyPxmG0T1cdc5RI2wgROTTwJdV\n9RfJ54OAN6nqSeNdvhLYURYdwljWY7wEw17oix6pw/gfZSEizxSRm4Bbk88fFJHntbogoyU2WwuF\nvryFdrVa79e1/z7TRvgGhsch+GMCwvx8VEZ/APztd+dH9vTmfcv+P3tnH2bVVR7632TCjBEhoo5G\nwFDB+qbW2mqxajQQR1u/EtGqadXiB8Raam9UkggGazW9mGACamzkGoVGqVpjvIpErV+kYDVVsdro\ntXlViEmAJBKNmZQmM2SY+8fe67DOmrX32ft8n8P7ex4ezuyz99rrY+911rver/OWVK73y3JCi9PW\nhCaz+w6ORRPXl8HX6mQF7okFQ4kxNKM66mbRlA1lcWXGtJu1hJn9hw5XJWXPIiu9iUvhMTWVTLy1\ntH2hJjg2Vnl+e44sc0xnrhqLXuqzefXSTE1g1rV5KV7CSKZZuA2H2PWL5s2u0hS2yKzwbOADwCuA\nHar6R8CzWnKnPiNvfJv5Xi+aN7uTqU4Mo/DznJ53g39MRG4TkduAPwW+JyJ3i8ivgO+TzD+G0XZq\nmZGaxtAoQhGz0n8AVgLvT//+NEnusIZ395vJwrnVmpoyC84wj18tagmbjloaoAuv2B29X63AOk4Q\njRFqAZ0vodNs+hFCQ4E31PRMTRXzRwvrkuWHV6+WLItaPkuuvXma0eGhQU4YOCZwu9Qo9Zq8ZWnq\n6iUv4I1Lm+GEuVhf5gnCYfRc/3gWzsS41s6kewbC/nAbMbE2DQ8Ncu0lZzVrXjmSmpS+kERIBGj+\njkWEHRuX9cNOpLWhC+iHNkB/tGNkZFY4N4WuNobRMcyM1GgmRYTDI6r6n15I+J+KSFfm8AnNPWvR\niGBShKyy3aL+hIK75mXMMccnJiuCnn8MqjWEoTYyLxhL0SAkoe9Yrf6tFR3Wfe8EQD/vo6tbnrmw\nO398YrKiyXPa0JhJrhuXsJyFc2dXmf7mmSq3O/iKq3PW85H3PkwcmYwK/1mCmwtsBNQUoEOz61oM\nDORrLOvgNyLyJWA+cIOInA00z2HOMIzjGlX9RafrYBhgQWeM5lPTrBQ4IiKPdX+IyAtIIpZ2DQOp\n5mf/ocOZC1EXEdRfuG9ZM1oJJlKr/Ly/62F8YpL7xiczE6E73KK8jDmXE6R8ocgdj332cX3k/jmT\n2iLRYN19nfnmwrn5fTtxZDI3EE+obXLUMqV0dYmV5cxCs9ofM7Fdt3wxm1cvrYyVMy915rPh+IVl\nu76sh1AgzTunLC7tREwgDv/2I97m+Z/Wqp8bO9/nEZofkAZ4FYm/4XNSX+n7gdc2+yaGYRiG0SlM\nMDRaQRHh8ALgC8DpIjIGbADOa2mtSuIW604gCnHBRkJNU575XFi+T5bQ4/yphocGCwmdQM0UBxNH\nJmv6MOYxf2TmtIV43rlwrD+LCJOO2D2cOWsWeeaxjlAwdT6D67ftqSo79HP0BZyygpnvK+dMa+GY\nb6l/3ubVS2v2zdCMwWkCbllqRfssgvMXDIVVX2O6ftueaYKaL0Q6wb9eYrkeW6A1hGQD6zHAxSLy\nIWAhlufQMAzD6BNMMDRaRU2zUlW9Efg9ERkBxlW14/HHs8L2l8UJXvUQywvoFvAu2miR3IGxRb9v\njul/X9YXzgkAZa6ppz+2rk2iZsbMSJththuWkVVHZ4LqhJuJI5PTTEKL3CtWfjgJO0G0lp0/HDP1\nbSWnLZiD3np3pa9ipsiuL7LMYYumFGkEP++jowVaQ4B/Bn4FfItkE2wJ8ALgJa24mWEYxydpqpxz\ngfmqulZEng78UFXv73DVjD7FhEKj1dQUDkXkiSQT38OAgdT3cEpVX9PiumVyzXvO4uVvv66UNq3e\nBOsw3XeulrARpkgoK3BlCYxFyvO1Z3n+fDHqFZQbFSpCQaZscmxn9ujq72tjmyGUxcrwI9gWoVZb\nagWyyfNzjG0kFMmXGAtAlIWf6qOWtrsWzcyVl8NDVfVF3t+bReSb7bixYRjHFR8C7gGemf79FOAt\nwJ93rEZGX1IrzZQJhkazKGJWeg3wa+Abwb+OceEVuwsvMIeHBitpDIpcEzMFXTi32lcxZirpTEnX\nLV88zQzSJ2YCWCs9wPDQYEWjleejB4nW0v1rF7WCztTC78+i6TP887esGc31rSwryGSNURnK+Ig6\ns8q8MVs4d3bFRzY0Cx0eGuSWO5qjmcxKQ7Lv4BgrN+ycZlpbiyKpL1z6liZzs4g82v0hIqcAP232\nTQzDOO45Lc1peBhAVT8EzOtslYx+I0yhFWKCodFMigiHt6vqxar6MVW9Ov33sZbXLIdYsu88YsnR\nh4fifmBZPnJ+wu4sMzgXsKNoqosTPG2Q8w1cNG921Uu+aN7sKh+4WgKu70e5bvniluQbLEqWD6jD\nCdShMFdGE7lw7uzCSdvd/cqyZc0oW9YUn3gXzZtdSYlRBOfXuGrTrmgwGDeGToDasma04vfqtH/N\nMLMO7xvWsR5toe9Xmidg19r0qIPfAvaKyPdE5PvAXhLz+G+KyO5m38wwjOOWB/w/RGQm8KAO1cXo\nQyxNhdFuiqSy+BcReR5wPd4kqKpHm1UJEZkLbAWGSHKRvVVV/6MZZceEBicUOjO5PNO64aHBKk1g\nVhCVerQfjz91TkXQ3XdwrJJDzi9n74GxiraoyOLcCbeujLKmpY1SNO2G05bFggLlpafw8/4NDBQz\nhQ3TMEAxX0H/3DLJkv37FO2PrHb4EWAd/jNbVvh3App71sLnv5Umny7CayvvISKnph8/4m5LYvL1\nG45FWS4t5orIq4ELSebAd6rqlxqsqmEY/cFnROQbwEIR+SCJb/OVRS4UkQeT5I1+JIlA+ffAjcA2\nks3724HlqjqRzkFvBo4CV6nqVhGZkV5/Kkmqnter6s1NbJvRQUwoNDpFEeHwHcCs4NgUzU0ovRr4\nrKp+RESeAawnmWBbgltou6AxeQJGKxeyvimgMxvNEjBjORyzAsD4E0o7NYd+bsEYvmBQJHpnLZ+4\nrATxoRAJiWbK9UstE9GsgC1FcKahZdM91EsY9KiW76Jrm8tfWeb5bkZe0Kz7+drxBvk204W/h5OY\nwr9WVX9dtkAReTjwThJfolnAuwETDg3DQFU/KCLfAc4kSZlztap+v+DlZwHfVdXL042trwP/BnxQ\nVT8rIuuBFSKyDfhb4KnAEeB7IvI54MXAr1X11SLyx8AlmK9jX2BBZ4xOkikcisgFqnq5qp6c/v1U\nVf1e+nlrk+txJ/CI9PPDKBFyvp6AL44yQU+KEAtUExNUHDFTwP2HDkcXyk6j6Le1jCaxHdSqz8SR\nyYrw4rRrTnsYC3ISq3tRLVfeea2MyLni0p0tmbj959xFw4Vj/fjeT/2AIw8k7SyyiVCGvGfYMTw0\nWDWG4d+1yi/jZ5qHqs4Pj4nIIPBGYCPw+jqKfS7wdVU9TOJX9Ma8k88+f3sdtzAMo8t5YMfGZdPW\nTCLyHJINKScQniwio6pa0zxFVa/x/jwVuI1EyHRzzA6SdGIKfE9V703v+S2SADijgHPz+QaJGc8a\n3AAAIABJREFUBZbR45hgaHSaPJ/DFwV/b/A+P7bJ9bgCOEdE/gv4MMkOWSYnDR/ThjWinWl2CP2Y\nMLNw7uxKEvuiuQ+b6X/VjDbWm8A9xM9F6U9+WbkC6xVoWiH8xQLBZOFy+dWjtc0q33/OV27YWQmy\n5Prxp7fenZmDMOwPZ9LrktG73IdZFMlHGX4/f2Rm4dyOLUplUUFVJ9MgEQvrLGIB8GAR2S4iu0XE\nfp0N4/gja6L62/TfO4CLgf8LnF+mYBH5NvBPJFFOZ6rqkfSrQ8CjgVOo3jT/pXf8Lqi4+kyJSBGL\nMKMLWbVplwmGRldQZhJpioggIitJUmP4fBm4RlUvEZEXAZcDr8gqY8Eps0sHpYnx2Ec3pxzHACAL\n5kw77u4x48RBrr3kLJZdsJ2jGQJMbBH+/tXPBuDgXcWFxhMGEp9G//71MkAdTloFOHfDTrZfvoxz\nLrquBaU3l5tLaJmzciU6XCCi2DNQ5B6hsFbLL+GEgep7yalzeO+nflAxaz5hAB6UCrJlAtuE+Uan\nppJjC06ZzWXnLWHZBbU1aCcMwLWXnFX4ng1S72N8AolFw0tJAt1cTyIwGoZxnKOqZ/p/i8gjgUtL\nlnG6iPw+8Ingq6x1V9njFUZGQi+h3qMf2gDV7cizONmxcVk7qlMX/TAW/dCGZtP2HSZV3QJs8Y+J\nyJeAdemfXyfJG5TJT29NhJ1Gg1vcfPtYYbNU3zTPpawIF+VHp+DIA5NVJnJ+wJWbbrmbF1+wvbRm\n69Che1m/bU+phftj587mba98MhCP/umCtBRp+9Gp5vibxcp9+duvK2z6OjCQaGKbbQ5chCxhvt6y\nWh2YJbyfY2AgeUbLaNyzxj72PN43PsnbXvnkws/5Y+fO5tCheyt/t2qSToM53Fnn5XcAN6Q78/tE\n5F4ReYSq3tW8GhqG0eUUmrBV9Zci8jtFzhWRPwR+qaq3qep/plq/e0XkQap6P0lKjIPpv1O8S+cB\n/+4dvzENTjOgqg+Qgz/f9iIjI7N6vg1Q3Y5a2sJubW8/jEW/tKHZdIv5wc+BpwM/IHG4/lneyW6x\n63zY6l1kuyiQfhmL5s2e5jvo/KccLnppbNHsB7uB6dFCywo1zjSxrAC798BYNBKoo9lJ3OulzNhN\nTcV9L8vihPtWBI3x01d0KtBRHrW0ms2gTCoSZxrrnvNGtYgiclvk8Bzgu8Cr6iz2q8DVIrKBRIP4\nkDzBcMfGZX3xY2Nt6Dz90Aboj3aMjMyKrpfSYDE+j6GgIAmcQWKF8FYReRQwk8SS6mUkWsSXpX9/\nB/ioiJyclv1Mksils0msrL4KnA0UD8NtdJy8NYhbpxhGJ8gTDk8PFloj3t8jTa7He4AtInIOienX\neUUuCs3rsgTFWloyX/BzAWHcue4FdX5kPllBOhpJNeC3w/mGlUmR4fdBpwSQVrJq0y42r15aSgDx\nccFPXBCcRgk3CFzqkU7SyIZJ7Nqy/VzPuLh7nn3+9rEdG5c10oFnRI7dq6q/qrdAVT0oIteS7NQD\n/E29ZRmG0Xd8g2Td4jww7iER1orwf0jWPruBk4C/Jgls83EReSPwC+BjqjopImuBr6T3eJeq3isi\nnwb+WES+SRIp9XVNa5XRUvLMSM230Og0ecKhtKsSqnoH0wPglCZLMHTCRIxF82ZX5TEcn5isCgjj\nNHBb1oxWVP9b1ozmpgFoNG+cu8YlR/frB9lmfnmBQ5plFlorVUKrqee+ftuHZgyWynFYC5e7r2hk\nzjI4M9oimr6Thgc56gX8qZesa9tpBtsIqvqLFpV7FXBVK8o2DKOn+TeS3IM+p4gkSyhV3Zd1YWo6\n+urIV38SOfezwGeDY0eBFSXra3QYCzpjdDuZwmGrFlnNIAywkYWLwJilZXIJy8MXNVwEh9E112/b\n09SIonnsP3R4moayjBDi+qBZgkurBQQ/bUKWQFtLuAuvcwIctKb+E0cmKxsGcCwtQ5hgvixlTEDv\nG59sWlTZEKc9b7Q9ebhxv/aSszqrdjUMwyjHl4FFwK9IhMQR4FaOBcBqdnR3o4cxwdDoBbrF57AU\nw0OD0WAYYXCZWiH454/MzPXLy6OV+QP9doxPTDaUy7FWfrpuwx+zogKtLwzmabhanfPR+TE6IbHd\n/d7KID1lTJvL4jSkhmEYPciXSEw//wNARJ4OLFfVN3W2Wka3kSUYmlBodBt5eQ67lphgWI9vH9Qn\nMOw9MJaZmy1Pe1Okjln+avVohcqaArZK89Rswnr6guH8kZnRa8Ynapt91tv+qalk0l+1aVcl16Cv\nWe6Vfs1i38GkTc0QdmPvgNOQ7j0wxtnnb/92wzcxDMNoH3/gBEMAVf134Pc6WB+jCzHB0OglelI4\njDE+MTnNN68W+w8drlvbMn9kZnTRn1Xeonmzawqizsw1PFZPPRfNm116Md8qzdPAQP3Ce6yPswTz\nLMGwCMNDg1Xaq6IJ733C/h4eGmTRvNksnFs70XyMWucPDw3W3a9F7wH1PxdZP3q9LiwbhmF4nCQi\nbxKRJ4rI74nIKuDBna6U0R2suHSnCYZGz9GTwuFpC+ZkLjDLLJYb0YSUEdiGhwYL5eZzwo2vdZo4\nUl+AkWb7RDYi4EHStnqu9/vM1SEsa9G82RW/uHXLF9eMFrpo3uxpdQkFy6mpxoRlFximEa1b3v2d\nVriRZ3h4aDDav81ixaU7p41FngZ3YAB2bFx2etMqYBiG0XpeBTwD+GT6bwnwFx2tkdEV5PkXdnNi\ne8PoSeHwsvOWRH2UavkYNouBgbiWKktgLWLSCIlpXRhVNVy8F02T0Ox+mJpK2lz0/r5Wy5kNNlKn\ngYEkSqxLMxKW5TSuzjcuq55upy4UMPceGGPfwSQNRZ5mq6zWKwyMk0Xsvnn3asVzPjXVfL/Msrk0\nzazUMIxeQlV/rqp/oapPUtXfU9VXqupNna6X0Vks8IzRy/RkQJpzLrqO+zsYZCUr+EkzzDKdgJuV\nb65dUVJj7D0wVlg4aoVwmhUUxfWJH5XWaQfDeuRF3CwSHbRVprcxk2gXZbVVGx6xclsZ1MYwDKNf\nEJFrVPUcEdnPscikjilVPbUT9TI6S60czCYYGr1ATwqHfkCaRvP31bv4LiMo1UusbmXr2mzhopPC\nw94DY2xdO1rJ/ejXpdaE7OjWyK3t7tcuzlv4xE5XwDAMowDnpf8/K/KdbbMdh5i20OgXelI49AnN\nLl2wkqIL34kj2fn0ytw7j3rKnzgyOS0BemxBn1e288+rNw1GFo0K5I3ca/22PZWcexNHJjNTdZRp\n80nD8dQoIc1Kdt/O/suiSwXDvuDs87d3ugqGYTSfb/s+0ap6R/rxTuB5wBxgIP03BWxtew2NjmGC\nodFP9KTP4UnDg9Fokm7BHfpN5Wn4ygYeqeWTlnWPsiycO3uaCWlZM8B6Irjm4dpdJCWE30fOxLNI\nv4XXDs2ovm7fwTFWXLqz4sfZDCGnlmA4PDTI1rWjTREModzzMHFksud+WMpEevXPSwPSWMJDwzC6\nkWdkHP8XEi3iEuAMEk3iGe2qlNF5TDA0+o2e1BwuOGU2Rx6YZP+hw4XMLpuppSkrbOWZ750wAEen\npp/vgt00Q/Cp1fai5oVOK+vOzbtuaMZglYC+/9DhqAYzpkGbmkqESXfu+MRklQBRz1g2qvEbn5jM\nnfzdPVoVJGblhiTqZ+x57zaytNVZ/eOPSSzIlGEYRpczQ1WXdroSRvsxodDoV3pSOLzplrsrn9tt\nolckvYBP2ST080dmlhYCyvRBWMei0SlDLV1e/YrWPavOoWDR6Pg6YbtIOpEyDAxUCzRFy/eF3yIU\nCZTTLYxPTEY3AbKeCX8zJMzxaRiG0UXckHH8/4nII1T1rrbWxugoJhga/UxPCoftoqzgWdZ/MdQa\nDs0YrFsIyNLM+Bq/4aFBNq9eWhWxMy/nXLMEqc2rl2ZGGm0HWX3aqDbORY8NNWV5msqiqUBaTagJ\nbiV5z9H8kZl9JxTu2LiMQ4fu7XQ1GmJkZJa1oQvohzZAf7RjZGRWVg7WxwA/F5H/Ah5Ij02p6pL2\n1MxoNyYYGv1OTwuHrdYahgFhalHEFy92jjveiJDizC/D9Adb1oyyatOuimBYREhz2hwn+DSqccu6\nZ9nxa/Z47z90uOl5/YDMQDkDA/naxXZqwduVE7QWew+MVX5oBwbgC5dbYmDDMHqKSyPHLFppH5IX\nFX3RvNl9t9FpHL/0pHB42oI5mT6HzWJ4aLBpOQWLBnIpUk5eGe47v0/8yczf7apVlhOKm2HOWMTX\nMA9nvlnE37OM71/eea6O/r3DOjuBG6r7dmqKqFBdq82tFAzbIXg2eo+pKTj7/O0P7Ni4rCfnJcMw\njh9ExOUx3Jf+PwXco6q94QNglMK0hcbxRE8vwrKCnORp/MIFbJbg1kyhs5b5ngvg0grhIeuavDq1\nQpsWI6xbLeEiVudQGGzWuLl65Pn7uUA1w0ODNevbxXkFo9Qj6BUxUy1QbrwzDcMwuotvM11D+HAR\n+QbwWlX9dQfqZDSZ9dv25G6Sm2Bo9CM9mcriplvurrys/sJ8YCAxo8witjAdmjFYyBy0EVzAjSxc\nWoYsIaPZ+EFAHC7dRDvqkNXfecf3Hhhj/sjMhseiFYQCUcyXsRmC4aJ5swv7LIY/WGUFvVZoGf08\npDn0tmOSYRjHBao6X1Uf4/8DZgFfBjZ2uHpGE1hx6U4TDI3jkp4UDh37Dx1m8+qlVdq/lRuyX+bY\ngrfWon14aDAzxL4TqIrUswit0CzFhKnNq5dG6zQ+MVkRVNtBWUFv38ExtqwZbZsQXQ/DQ4Mt9Tso\nauZbTwCgRvs1T3gvGgDH8hwahtGrqOqkqn4IWNjpuhiNUcuM1ARDo5/paeEQYNWmXaX8usqwaN7s\nioYttugt6vOYl+ewlWSZ8MUEhzL+lUUT2teiHm3W+m17ampiO8n4xCSrNu0qfV2sP/1jZX+I6vEV\nbWRzwjnj52l/i5icGoZh9AEWkKZHWXHpTvMvNI57etLn8LQFc9Bb7266ps0XprauHa1K+RCj0fuH\nqSyaTZamJhbYpWxU0nbmlvRpdqqPVlDPfWL96UyN/SizfkRaiPvduvPKRttthP2HDuf+oBahU8+U\nYRhGsxCRVwN3droeRnlMKDSMhK4QDkVkJvAx4JHAYeB1qpo7ubZiIenKHB4aZP22PQ0LE84/rJ4F\nejOEmazrY4FgYsfLlptF2aTvZagVoCbrvG6gyBhPHJmMOsS71CX7Dx2O9u/QjOZF2y1CbByyBNc8\nzj5/+1i3mpaKyEnAj4GLVfVjna6PYRidQ0RuixyeA3wXeFWJct4LPItkPXYJsAfYRmLZdTuwXFUn\nUqHzzcBR4CpV3SoiM4CrgVOBSeD1qnpz3Y06Tqm1sWmCoXG80S1mpX8J/CxNGnsJcHGzb1DLbM9n\n4shkobQJRainnFrmdc02v3PJ3MsQ1mFgIJ7gfWCgOekw8urhfD99M+BeICsqrO/7lyfkOVPNWP86\n/9FmUjZgUbu0lm3kHcCvMJMxwzDgjMi/Bao6qqp3FClARJ4N/K6qng48H/gA8G7gg+l66OfAinQD\n/W+B5wBnAm8VkTkkQuivVfUMYD3J+skogQmGhjGdrtAcAo8DvgGgqrtF5Kq8ky87bwkvf/t1pRa/\nWWZ7Rc8N8935wlFWOfUujvP8s5yZYV4y1npwSe+L9GmsDmUjkDaLhXOPRQbtNWEkljcxZHxisiMB\neGL+qkXqUkRjmKUxHR4a5NpLzupWreFpwGnAF4Hc7Zmzz9+e+Z0LzOP3USy6bRHakbvSv1dRM+Ws\nejXTtDt2D1fHdcsXFzZxDq0myvRpu0zVF82L51nNY3joWHqkei036rnObRCWrW+rn+UmWa98e8fG\nZae7P1T1F40WCOwm0TQC3APMBJYCb0yP7QAuABT4nqreCyAi3wKeCYySWF1Bsoba2oQ6HTeYGalh\nxOkWzeGPgRcCiMhSYH6tC9qViw+SH9ota0bZf+hwlTDk/jWTWlrB+SMzWb9tT0t+SItq3dx5YR06\nIZztOzjW8gVau4Qzp+3LEpzyno3TFsxpaj2HZgxGNcF5fT0wkETCraUtnzgyWdWWgYHkh3jz6qV1\n17cNXAa8tdFCYtrevQfqe4bb6aOZl+8zdm6MZr6nWZt9ew+MlfJ9DefwMn3aLlP1vQfKCVpwLD2S\nu77e+9ZzTT31bfWz3KTfpmc0oxCfNLqpMw1ZSbL59BBVPZIeOwQ8Gjgl/ez4pXf8rrSso8CUiHTL\npn9XY4KhYWTT9klERFYC5waH/w74AxHZDVwHPJBXxoVX7C71Y3LS8CD3jef/kJ8wkB0gZnxikje9\nLz84TTM4aXiQBafM5qZb7s485+Bd5TUMRZhx4iCXnbeEcy66rmZfzThxkPd+6gdNr0MRXITXo56Q\n3mqK9vdJw4lwVqv/ynDCQLH733LHGI99dPWzc9qCOdxyx1hd9RmfmGTGieWEzakpeNP7dtUck/D7\nqankh/q0BXO47LwlJWvaekTkNcBuVb1VRCymqmEYTUVElgGvB54H/Mz7Kmu+KXu8wsjIrHKV60Ia\nacOFV+zOXGPt2Lis7nLr4Xgfi26hH9rQbNouHKrqFmBL5KuvAojIPJJJMpM84SnG3Eckmq683cNa\nkUObueDPq8ORB/Lv06p63HTL3bz4gu2FhK1adWyliVCrI7w2wtxHzGTd8sVNNfkt2t77xienjYve\nWu49CSn7ng0P1d6EcefFBN6bbrmbs8/fXmW61SW8EFgoIn9KYtUwLiK3qWrp8KxmVmpmpWUxs9LG\naZJZ6Q3NqEuIiDwPuAh4nqqOich/i8iwqo4D84CD6b9TvMvmAf/uHb8xDU4zoKq5m+uHDt3bima0\njZGRWXW3oZa2sJ1900g7ugVrQ3fQCuG2K8wPROQFwNNU9V3Aa4AvNFrm1rWjrN+2pxLMY93yxTVT\nU/gLhaJJux3+QmFgALasGS0tJIxPNBYIx18Q1EOZ65oVsKcWtRYNWePk+mJoRqL9KjqOjSxS9h86\nPC3vZtF71lp4F3kew+v9Ba//d6so2sfdGDk2D1X9c/dZRP4OuDlPMNyxcVlf/Nj0chu2rh3t+TZA\n74+Dox/aMTIyq+mbViJyMonJ+qiq/iY9/HXg5cAngJcBXwa+A3w0PX+SxN/wzcBs4BUkm+tnA43l\nE+pjzIzUMIrTLT6H1wN/KCI3kIR0/t+NFOb7Xjn/Hpc83UVcjPlv+f4nRZJ2OwYC07+pKVi1aVdF\nMClD3gJ+0bzZuX5nvp9JM3ERQd2/dcsX555fbx0GBqb71g3NGGTr2tHMdk9NJT6Qvn+cG4+pqcS/\nrRmCoeuDViRqL6KRcW3pZsr2jRtvx6J5s+lCraFhGEar+DPg4cBnROR6EdlJEnX0tambzUOBj6nq\n/cBa4CvA14B3pcFpPg0Misg3gVXA2zvRiG7HBEPDKEdXaA7Tie/sZpUXC2zhm22V1Qo6sq6LHRuf\nmGxqfj+3iG6HGVloxuRSXfj96mtG69XSZeG3cXwiyfO3Zc1oTc1v7Poy/ZV3bq2AHC4Yy6pNu4rf\nkHxzp/C7VmuEm6FhLKN5dYK9a2M78zLWi6q+u9N1MAyjP1DVq4BYdPY/iZz7WeCzwbGjwIrW1K73\nMaHQMOqjWzSHpXCBP0Jc1EOfWP67mFawiNYjdl1ehMgii92i2pZ2pmqIRZtzQhrA+m17WLlhJ0Mz\nBtmxcVlFaKxHs+W0kU6oyBP+sqKprlu+uOOCxdRU0i9lBeM889x6xztP05rH0IxBFs6dXdGul/3x\nrCd6rz9u4xOTnH3+9m+XK8EwDMMwqjHB0DDqpyeFQ4gnXHcLdICVG3ZWQsTXEhyGhwajJqBFFti1\nzBZrmSI2qgksKwQ4YbnetAfrt+2pCI/jE5Occ9F1FQ1iUVNcZzrqTFTXLV+caYI7MECVGWus3isu\n3VmlFe4U3ZJncdWmXWxZM1p6jN0GxPyRmWxevbTyLrWZpoeLNwzDMI4PVly60wRDw2iQnhQO7xtP\nFrFZvoNhUBBf6zYwMF2AyNIGhsnuQ2oJIvWYrZalHuFy3fLFbF69tJDw4PsbxnwN7xuv389x38Ex\nVm3axapNuzLr44RGJ5Q6c92svirj51mPdqwsoV9deP+Fc4vlfHdtjj2/IU7LW695r8sV12phNyPa\nY3c7VhqGYRhdSa0oxSYYGkYxelI4dMQCsNQKluJM5/LwzSMXzs0WRJy2LG+xvv/Q4ULC06J5s+sK\nYFOW8YnJil/c5tVLawq/LljKvoNjFU1So8nW3bg5TaOrU8xs1K+vY9/BsegYhoGBYjhhbXhosGIO\nu2PjsqgmuhnkaVPzzHBDDa/T1k5NJc9wrTGIacsbHbdmklWXHRuXdYUftGEYhtE71NIWmmBoGMXp\naeEwxsoNOytaqJgJZZbfmr9Qd0FWnMBQS7gbmjGYKVxk3c9n69rRmkJtM3ECV620C34QFvfZmR3G\nFve1BM0sTS/kC0rONNgPmLLv4Ni0OhTVYG5evbRiNplnOllLmGqGCeu65YujmtBaaU02r15aFUH2\ntAVzpl3v6h/zxW0FZYRPtyng00mTYMMwDKP3MDNSw2g+PSkcnlDAh88JAL4J5cDAMY1KKMyFgsX8\nkSSheZF8fu7cGEVM83xNXru0O7HFuU/eQn3fwbHSJosu8XeWdjTMyRfiR0N1588fmVlaoAjNVPce\nGOOci66bNs4u+mhZf9Ey47dlTfKjtW754srnsPzxickqbaev8XTP594DY9x0y93T7u0EbueLW2Sj\nwqds38ZSipShXQndDcMwjN7HtIWG0Rp6UjjcfvmyXD+uEOd/5RbbzkwyjyIJzf2gKu7vehifmKxM\ncmUX8EBDAWayiLXb+btl9UmWCa7zLWvEhy1mRlrUZNdn4kjij+ebXWb5Ta7ftiezH7L63A+MU8tU\nNTSXzRpD3/x2/sjMisbTBQIK7+2o10y5SN1DhocGWbd8cVNSbxiGYRhGHqYtNIzW0ZPC4YVX7I5q\nroaHBiuL51qEC9dwYV42n54vSBYJGhJjxaU7C2kqm0U9mp0sbVlWwBqoFnhD7ZJPLIVGHrExqiUo\nO/NYZ3bpn+v3R15eQ5f3MU+Qd6aveYSmtL45dBZO25nXV0648+vnosLWwgXJKToWbuw3r17Kyg35\nwQAMwzAMo1FMMDSM1jIw1YPb+xdesXvqplvurjoWJqh3gqJbEK/ftqcqsbuPM9UrmmQ9vHb+yMzM\nsv36taKr3f2dIOMS0rdyWMO2uDrsP3Q4GvnV+fc5gWrd8sXTtF5FWDRvdvQejbB17Sjv/dQPOPJA\nUmatcXQ4Ac7XFBa9zq9/llDtzF7rJRYJtEgdneCedW+/3IGBxDTWbcYU7bsa9blhx8ZlpxcvpftY\ndsH2qRneXJS3ceJwi52sMdq6drTqmWjkPffv4eZN947mjTtM35BZNG/2tHF35YfXLJqXbDqEc7W7\nZuHc6WXF6g7Jcxebr93CcP22Pdx8cIyjU9XtDecQN3fBsWBmsYVnOM8WwX9Xwvcx1geufuE9/MWu\nX7fw3K1rRysbNM5M3d8ozZo7w2fJjcW65Yur+njr2tHocxq7b1hXv93uHPe9X24M39fcLyOsi6u3\nv3Hn/+Zk3cO9n0V+/3dsXNbrntFThw7d2+k61E0/CYUjI7Po5bEAa0O3MDIyq+nzUk8Kh8DUy99+\nXSEhwV+YZS1+fAGm3gV5rYV3PcJhljCUt9hpFLegy1t4ZrUldjzWtxkpDNoi2IZsXTvKyMgs3rLp\n+lJjHy7uaglVEO9bf2ECZArZPrEFeexe9T4ToSDicIsyfxHl3ye2sPWvLfjM3Ltj47LWhI5tE2ef\nv31aS/MExFrh19tBqzavOkHec9iK69pBLQEqxI80XS/1PBOh4NascltN0TqZcNg5+kkwhL4RSqwN\nXUArhMOeDBt/4RW7q/72J/YsASP0M/NxpqhZ3xchtgvsU++PYUww9H/0fSGhGcKVC3YCx/os5stW\nVPAo40Ppchg2ukBzAjPkC7lFflCyFg1+ioqBgXytgyOmKQl3rIu0vYiGzvV7lkCetxjKaoPzYfQ1\nKL5pbJ4ZbYln8seFzzQMwzD6nn4TDA2j2+lJn8Obbrm7EsUxXOSG5jHrli+uSqAew/lw1atpCf27\n8shKir5o3uyqSW7r2tGooLBlzWjVItxv+/yRmTVzONbyM1y5YWfFFGnd8sXT/OK2rh2tiv7qExMA\nXBtcygbnn+ZH3/SJCehlg6O4sRyfmMzsj+GhwUpglwuv2F1JleF86Ny/IkFdpqYSn9MsX9fYeA/N\nGKwIlHlpPLLuV4R1yxdXxihLU1sGF8zHPX+NBkHKEFCf2FChXcAJwTtey6zUf++z3s+ta0er3oO8\ntDC18K9zz/yWNaO571mWL2wsDYv7O7zGlR+bA52fbK02uTl/69rRaH1cWqBF82ZXolr7ZYY+yf77\nvm754syFpp/aqCjhfcJ2ZPVniKtTWLfw3K1rRyv9s2XNaNWcm+eLHT5Lbiy2rKnu46znNLxvrK7+\ndVvWjE77rcsj9OEPU/MMeOPs2um3OfxtDYm11egesgTDdqVoMozjkZ40K42ZbTnCBWcRc79GKWPC\nF/pPuGO+r4YTMrJMYGPasCwfFv/7MkMd88Pw0ygAhX00Y+1zbXNavokjk1Gfo1b4Gdaqq0u7AdnP\nTTiOeT5JW9eOVsxGnSDo+wRljbPf7zBd8+jf3+H6q4gfbJcyuWPjsp60aPDoWdMtR5+Y2lgbuoR+\naEcrTLc6QM/MTf2uLeyTd8La0AW0Ym7qSc1hHkMzqndB9x86PG0HNY8iu4dZ+eSKsGXN6LQFu6/d\nWnHpzoomM1aXiSOTuTnxsqhXSPC1hKF2NGbymrUj7uNrB/cfOszm1UvZsmY0mpqilkY3T9NQdqcf\njvXj3gNjuWbGW9aMVnabndCcpR1yQrRLp+LyDkK28BmLZBrWM0tT6+rfqGDYihQpBfjFpmeBAAAg\nAElEQVRuu29oGIZhdA95guGOjcvaWBPDOD7pO+EwFCT8SHTuX6MLXj8NQl6gDf9/n/D+ew+MsX7b\nnmkToh/ow9cUrd+2py7Bpyi+D53DpXZwQk0sbcHCuYl5jhMo/eM+zdQC5glA+w6OVe0wZo37ScOD\n00yr4Ng4x3Dtnz8ys6ZJcb3CrX+9/2yUNScsIrCHOM1xGZ/Reu4TXt/rkUoNwzCM+ul3jaFh9AJ9\nJxxCoj30tYS+L1itHIhhmoG8hfj8kZmZwok7Hn6/4tKdzB+ZOa3cPLPXvQfGor5zoW+FT73+SJD0\n34pLd7Li0sT/MBRuspLDuzaE5qZ7D4xVfPLCxO/+eaF2rFGmphIhbnhokK1rR6Nmmf69Y32cJ9g5\nk1AnNIdtC4mNiX9PN44u12AWC+fGNeAx3y8X+KaskOf8Cp3WvQhTU+UCEIUU8e80DMMw+o/YBrmP\nCYaG0T563bdnGr5fnO/PlRV5E7L9t3yfrdD3bXxicprZYVG/vnr9H/1FelhG2K5GTApDwa4MKzfs\njC7ynaljTEBav21PoQTt9eDMRMMfHb9/7hufrCnYhdQK/JNVF4d7dvz+3XvgmKYzrz7OFBeqd1nD\nMXd/hybKtZ5T993KDTujJsytYGCg+ZsDhmEYRvdjQqFhdBc9qTk8bcGcqP+gi4QZo5bvWkygCRfQ\nMa2IH5GvrEB22oI5pc53Wiqf/YcO1wyaUoZa1/iBZBbNmz2tDaH2KIxYuHDudC2n07zV0uoWpZ7I\ngs4nsAy+L2tZE0w/DYbD/1w2gmlI3jgunFs7KmRRYtEoY9+Fx2Pj06zxNwzDMHoDEwwNo/voSeHw\nsvOWVPwHfZPKvQfGqiaaLJO4cGG8cG5cqHRmea6MUFPoBIoiQoXzaXN+WcNDg1x23hK2rh3NDMvu\n3zvUMGUFC3H3cFE3yzI1VSyQi+v/y85bMu18v64TRyanaSI3r146LTR/PWT5uDmtbpHQ+I3i+qEe\n1m/bw5Y11WHgV23axapNu6aNnWun07Ct3LAz6vfpznGpCZwgtnn10ipB1g+m45uz+mPitKNZmw9h\nufsOjrHv4FhVyhL3fId1Cd9N59N69vnbv11XZxqGYRg9hQmGhtGd9LxZqUu34OObw61bvjh3AnLE\nzPicJrAZKQHGJybZuna0ytT17PO3VyVsDxPAuwVzXplwLI3CuuWLWblhZ6Wu9QZ+8c0b/fJcHZ0w\ntH7bHmacOJgb1TOr31y+PD8ZfKg58s0fwxQerh55Y+vnuHS4MXDtbBQ/J2ReP0C2Oad7VvNSg7jj\nU1P5P6g+odDqt9f3JfXNpf02hJstPq7/Xfv9d2TfwbFp5qh+Xdw1Gf3V83kODcMwjGyyUjiBCYWG\n0Q20XTgUkTOBTwMrVPWL6bHfBz4ETAE3qupfFy0vFjDFHQcqiY3dIjeWk7CWkNCMXHFOgxUuiP17\nO21XWaFl4kiiKQsFuTxq5Q90AvbCubOrTEl9wbAe4SoUkCERJkLByPmOrtq0q0r76DSiedo6d63z\nM421yxEKP/7zkeebt+/g2DSf1jLEIsI2K4qrq7P/DvjtXHHpziqNaxkTVj9nZdYz4CLqxsbIv6bV\nWt1mIiLvBZ5FMmdeoqqf63CVDMPoA0TkScDngE2qeqWIPAbYRmLZdTuwXFUnROTVwJuBo8BVqrpV\nRGYAVwOnApPA61X15k60oyimLTSM7qetZqUisgg4D9gdfPV+4DxVfRZwsog8v5H7OIHGT73gTDfz\nFuB+9M+s4/UuaN2COs8vbeLIJOuWL655j61rRytmeU6AcTn0sohFR50/MrNmLrswJ2G9uIihMWI5\nGuePzKwI/n673LlO0xu2a+va0YpQWcvPNGaW6Z+fF3Qm1tebVy/NHTvflNMXUJ0pqT8OsdQa/ne1\ncO333wEfv51+W8YnJiv3XTRvdtWYLZo3OzNATfhuhPeN+ZRmmD3/OLtVnUFEng38rqqeDjyfZL4y\nDMNoCBF5MLAR+ArJ5jjAxcAHVXUJ8HNghYjMBP4WeA5wJvBWEZkDvAr4taqeAawHLmlvC8phgqFh\n9Abt1hweAF4GbHUHRGQI+C1V/X56aAfwXOBfihQYakXyFudZgoJvlukWsM6HamjGYJU/Yp7pXx6r\nNu2q+FpVTCqBo97CfOHc2azatCtTyPM1d46imsKs1BPOByxsV60olTGTzTx8oThLyCwa7RWSsXQ+\ne07I8zVaWWO0cO7sikYxr5/hmGYv9oMWmlW6c7esGY1GxnU/fKFvq9/vfvAe/7xQqHKm1L6ZbS3K\naKRdmfsPHa5quxP4XFtj7Y89E/4xt8nSyEZDB9gNfDf9fA8wU0QGVLWwTYHrx7wFkBtTJzT7z4XT\n7vpm1n4O19BU12nOXb/H7huOXUx77+ZFvw0+W9eOVjZqXB3z5o6wnn4bYuf5z5Kbk/17uHuXiXQb\ntjsP3+Ik6x5hv4Ta9fBe/nzlrD1CqwxI+uiEAbjyrUuj4+vfu8jC2j1fzow/hqtPVnv9erhnJeve\nbh6cPzKT969+dmZZ/vPn2uZf64+5a68/h2xevbSqH4o8E345fl+E/en3WawNTWAcOAtY6x1bCvxl\n+nkHcAGgwPdU9V4AEfkW8ExgFPhYeu438NZW3YYJhobROwxMNcNmsiQi8o/Atar6RRGZC1ynqk9J\nvxsFVqrqq3OKmDp06N7KH+EC2/24QPWPcrj4cYKkEwDDRWz4A5onGPoLuIVzZ0/zUwxTbAAcvOsw\n940fM2H0Fwt5xILU1IvfX7XMR8M+CQUB5z8Yq5d/bVY/+gKMO9/3BQ2FIbd4dYsHX9PnyvEX0f7x\nLEHUma36YxkuUKH2wjKr30JBNvbsuuuz7pMllLv+d9f559XSmseI9VHsvQgJF2dhX9R4bm/YsXHZ\n6aUq2kZE5C+BZ6rqa3NOq5qfwkVRbCFU76YTxMc2Nnb+fcMxyTMxL2vq7gtHPnmbSWVN1t17Gnt3\nHCMjs/DHISy71rMcMzkP75G14A3nQnevvPk9a16PjWVszGttPIQ5fMO2h3UL21vGTyw897QFc3jb\nK58c/T58/spsEuaRJeCGY5blvx7p45bNTSLyd8AhVf2QiNypqo9Kjy8CPg78A/BUVV2dHr8YuA14\nOXChqt6YHr8VWKiqD2Tcaip8J9pB1ntSj1AYe697kX5oh7WhOxgZmdV0J52WaQ5FZCVwbnD4nar6\ntRqXFjJ1HRmZVfn82EfP5qZb7q58fu+nfsCME5NooD7+eXDsB2h8YpJzN1T7Yc04cbDqHhdesTt3\n8fbYR8/mp7cmZb9/9bM556LrKoIfwLWXnFUpJ/YD+6ChQd77qR8UzpN40nBzEoYfOTLJyMgs3r/6\n2Vx4RWLt6/fbwbsOV312fXLhFburvoOkPw/edZiThger2n7agjlVZV57yVnT+se1yzHjxKQ/XJ+7\nlBn++LncieH1py2YUznfv69rHyT97d//hPTVOjqVnefRtWPZBds5d8NOtl++jCwO3pXs+j/+1GNt\nX3bB9sr4uutdXwBc857pz8i5G3by+FPnTCs7xtQUVbvbft3LCB7+sxX2Ua3dc/89ee+nfsBl5y2p\nerb88YvR5YLhMmAF8Me1zvXnjiLfndDA1B67doBjNmqx+844sXquy7u/f24RBoi3Ma8cf74tcr8B\nqtt9wkD8nuGxsN154xSSdY+s+sXuFRuXWN3CssJrYuOVV7fw/Fjbw/uE7c0bl7x+jp2T9/zl9VEZ\nio5X1nPQyDvZRLJqUfZ4hTLPfDM4+/zt0eM7Nmb/ftai3W1oFf3QDmtDf9JJzeFnVPVLqUP1z1V1\nQfrda4EnquqFOUVM2/3yTe+KarryKBJ4o9a1/m6t2yGLlVVGa+hwgqyvTatnxzXPXAqqd5NdPfP6\nI9TchmZQjjztIUzXfBXZeffJ0l5k7WCG0VCzygSq+sPX1Dn8Ovr9mxX51dcmxkxSY3XN0/JkmQEW\nfT58k1lf05pnKufI0oQ6apkWtWIHrBmIyPOAdwPPV9Xf1Dh92vxkZqXV92yHWWnWjrCZlXbGrDTr\nN7uHzEpbNjcFmsO9wBNUdVxElgJ/Q6I5fKOqvio9fyvwWRLN4adU9avpWupmVZ2fc6u2ag6bqTF0\n9IOmB/qjHdaG7qAV66ZOCYdXkwiHLlrpV4CLVfVbIvJ54ApVzYvXP/WWTdcD038sy5hB1iJPGMoz\n7XTXZZmTxQQjP6JqkXr5KR32HzqcK9jEhFVnllXLVyfWn0XNi7IEhTzBMGuRGGtjnhmr3+7YgiaL\n0Ky0jE9frG9CIbXoGOfhNgZibcm6n1s0FdUgun4IF+9lTK9rmXX55opem7rOrFRETga+CYyq6l0F\nLumI6VYz6ZMfTGtDl9AP7WjlxpWIvItEOLxSRD4M7FbVT4jIFcAPgU8CPwIWk0Ql/X76+SySeekN\nIvKnwEtU9TU5t2rb3NQKwRD641mC/miHtaE7aMXc1O5opS8VkR8BLwauFJHvpV+9BbhERP6NRIuY\nu4I+56LrKpEYXRJ6t1voongW8Y2qhQvJH2PvgbHMyKIusEwWsYilWQnNY4RRHjevXlo6smYRwRDi\n/ekf801v8qJojk9MRn8s/EiwTrjy+9zlD4xFY92yZrSSqiQrmqwftdNP2TAwQDRS68K5SYCeLWtG\ns6JpVgij2kI82I7fntg1Mfx6hW2aPzKzKvm8f+7UVHXOTpeEHpLnJGxvVj+4qLD7Dx0u9R75z3Y4\n5m5s/fF293bvMfCMwjdrH38GPBz4jIhcn/57TKcrZRhGbyMiT0/XRKuAi0TkRhILhdeKyG7gocDH\nVPV+kqA1XwG+BrwrDU7zaWBQRL6ZlvH2TrTDZ+WGnS0TDA3DaA8d0Rw2ytnnb59W6SwzwpB68vNl\nmfHlaXBCsoJBlCGWML6MZjQW8CXEN8kJP8dMkkZGZvHyt19XOS9WXl6wjCLBb4pqGv2E7BAPJuOb\nKLnzZ5w4yM23j1UJNi4YTt7YupyN7vwyATecyRRUm0GH94fpZlZ5QZZgupbWleH3UyzwT9YzHo5r\nVl3y6hQLauLaGwZv2rFxWVealpbANIddgLWhe+iHdnSryXtJWjo3tSMiaT88S9Af7bA2dAc9rzls\nBb4fWNlE5LGyslJhxI6PT0wyf2RmbvqMMFdcls9hkdx1QzMGK5qpdcsXl9aM+ho/VxeflRt2VjQ4\nKy6d/nlqanr+OkgEjywtZOx42f2IIhpO1697DyTpRxbOnZ4uwaWvcNo1d75/Dz83oNO0uZyD/ji7\nMc0ah3A8/TFft3xxJa1JiCvPpeNwKTuyrgkT2MfMd33NuruHry3MSv0xMJDd9y4YUOydy8vl6bP/\n0GH2HhgLn4f6QnYahmEYHSPPn980hobRW/S8cJhnTumzcsPOTNNNZ1q3Zc1otLz5IzNzTQxj17gy\niwhwC+fOLrSgji30i+ILM1AtBEEiILRKiZwnPPvkmQTHzDGz+jaMYuoIBakiuHFxQmUo7If1cfUP\nhaqifeBwGs7ws8OZaPrPZey+ebh+ivXV8NDgNE18LJF9DNcPjq1rR6v6xv3LeOabE4bXMAzDaAt5\nZqRlfpMMw+gOWpbKoh34EUAhW1jwo0TuPTBWCbbh8Cev0MRueGhwWjQ1910swpxfThnKJpXPisgW\nRt2MmQX6GrWsZORZgW7yBN4wh58jTFTvj8e+g2Os2rSrUsd6/URd//lBZ+aPzKz6Owyw4sbssvOW\nZEY1LGv+69d/69rRzD6phZ/DLdyYiNXrpOHBaX0XmgbXqouvhR+fmGTlhp3RiL1Om5plVgrxcSyT\ns9EwDMPofsy/0DD6j570OSQnlUVsAZqV/sAtcEP/qTKJksviC54nDQ8y9xHVC+w80wwfP+poGFHV\nD/Pt8NNLQDzdR8yXrFZfOHvtWMqLPLLC4ucRChJZY5MXoj+mgXRh1sO2hr5wefcsS+hP6OqbN0ax\n7xynLZjDkQcmK+WExMYnFk03ls7ACZkxP8LYvbLCxGcRjGvXRSutA/M57AKsDd1DP7TDfA6n0wnB\nsB+eJeiPdlgbugPzOczA9zeLmb1tWTOa6TPoIp761zYz4mlYT3+Bfc17zooGVAlx5oLun19GzNdy\n/6HDlfPcv5UbdlaZEIbtW7lhJ/sOjk3zayvSF6FJaq39hizz3makeYDpfoC++aLzc/P/uQTt65Yv\nrmjFio57lqllnglm6Au4/9Bh9h86XPUc+8KfezZj4+fq687Legdi+O+E+1zUX9DdL8QfwzJ1MQzD\nMHqDFZdaRFLD6Gf6QjgswpY1o5WUB0X8v+oJ+FKWcy66rvI5z7zOCQ6OWP2dYAPZaSPC833B0PnU\nrbh0Z9RENqsvLrxid7TerRYKyghwvoCbJ/yEQWB8X9KYD2nWpkStzQofX4AvY17p6uGuveWO/Gvd\nBomv1Y0d858j3yS5jNBYlqDd3ZjKwjAMw6A9EUkNw+gsfSEcltX0LZwbz4nnhLDYrpgf0KZoYI5Y\nPX3uG48HSAlNH0PNpq8J9duct4Dfsma0qo/y2hAKNXnBfHx809dQoA3r4oQSv615OQBdWVkBX/Jw\n2jkn5IaBUS47b0n0On+8mmV9HfZJTHsH1X0RBnTx/SsdC06ZXfMd2LJmNOoP6syS3T/fZ9MRRrp1\n9QoJj7V6g8UwDMNoDyYYGsbxQd/4HBahiE9ZiAsqEjuvljAa84OM+XnFzo9NwkWE31gZ4aQd8yMM\n2xg7HvMlHBmZxVs2XV+5ZxgUpkgf1fLvbMQHNAwuFAZpcW1wz5Nrr/Pb9E14Y/fO8nUtmofS9w8N\n/Q+z8MtxwZWuveSszKA6Zcrzc3qG7c0KghSS94xn1c/dvw9yHIL5HHYF1obuoR/acbz7HHaLYNgP\nzxL0RzusDd1BK+amno5W2ih+knQ/MXtR8swA/QX3ikt3VibPrWuPBQLZsXFZ1UMZRrr0A3uE32cR\ni57q8uTl4YQ+d88yAljoo+in2siKhurq5dI0lDETzSrLv//4xOS0qLRQLSz6UVJdXcKoto6BgWIR\nOIsIY0BmtM+yfeAii154xW7e9sonT6uLewbDZ8Cvp58qY3xisup588cy1m+N0MrAT91G0efCP989\ng+GGTNamT6vxN4r8exfdNKiXWuXXGxG4KEXHruwYN6ucMv1fq+xa37d6rJvRh80aB+MY5l9oGMcX\nfWFW6li1aVduDsDQNM//25ld+qaRbpHsm0HWi2+WGZrnhTjzvq1rRysmhc38ocsyw/V/ANxnf8FV\ndPHlmyNmmbq6xa9bbDo/vzL1Dcvae2CMlRt2VoSYqakkt6EL2pK1oHF+k+HmwMK5xwK+FGl7LV/D\nMA9iI2k7wme1DGE9Yzk8fSHb/XPUyrXpLxhs8VDOB9U/H5Jn2J87Yu9oOwgtC9y9w+BKzaZW+b6/\ndBHT97IUHbuyY9yscsr0f62ya33f6rFuRh82axyMY5hgaBjHH30jHBb94QoFLf/vdcsXZwozzjcr\ny0csdp8Y/o+Xi5KZ9X0jP261BKqiAqffl0UXBK2I9tqIgOyivLrPfp6+vD5et3xx1bW1KJI/0rXD\n9/n0P9fa4Ajr5oTEW+6Y/rwUHYfNq5eW3vgoIiDWWjy0KiqwYRiG0TgmGBrG8UnfCIcTRyajn0Ni\ngVjcgjwMehJbsPpaFhfNMitgy9a106NB1qKIgNEqmqnxqSXMOcHACSWNmJWGGmCnUcvq982rlzJ/\nZOa01BAxrXEZimhMoXoDYNWmXdO0nmV35scnJrlvfDK6oRAbh5hQFgYsgvqERmM6ZYVgdz5Mf4Y7\npZUNN8bcvf3NllaYGtYqPxZxt5kUHbtmbXSULadM/xfZMMz7vtVj3Yw+tA2n5mGCoWEcv/RNQJp6\nA5uUSe4dBu7YvHpp6eTvrhw4lnzdPx4L5lLGh8L3U2yWP1een0mjzrxl/c6a5fPi3/e0BXMq/nqN\n+qs0EgDG93stugALg9y0YlHk2hRuVjRzDFy9j/egD91CnzjpWxu6hH5ox/E0N3WzYNgPzxL0Rzus\nDd2BBaTJoawQ1QzqMfvMEm6yFvl5QUVCwgTkDj/gSBZ5fdeq4ANlyQomU085cEw7eNl5SyqTQzue\nnfBZDYPpQPE+d2N70vAgcx8xPcBNSEyzGH7nnh23EHB19KO+tjLvoWEYhtEZulkwNAyjPfSNWSkU\nN2UMTecczjwpqww/EIjLPbhw7uzCZk15fpFh5FO36G+GmWks4IhPJ534220G5I+By33YLMr0Y+jr\n6j+PfgRV39w5xNdaj09MFhIMXf3CevrfObIWCWHezXoxEzDDMIzuwOV4jmGCoWEcX/SVcFiEUID0\nhTQX9a5WQJtQaxJLLt4oU1PJZF3Ujw2m+yO10j+kmRQNNuO3o2ybYr6m3YwT1poliDVKoxFS88o1\nwdAwDKNzrLh0Z2ZqLhMMDeP447gTDn3Wb9uTG7wmi3o1HnkO/VkTcNl7+Wkyikba7LQGZ8WlOwuF\n5feD/pQJW+9rxeaPzGyZ0NzufvSDcWy/fFmp+oX1dJpqPxBP+Ez6EVJN22cYhtH7dEtye8Mwuoe+\n8Tksi+/LFyZLLypQ1UNe2W4iDv3/ipqTlvFPDOnUQj/M25b3Y+THTmokjlIrNanNTN3hAhTNH8n2\nJSyrsY6V45un7js4ZgsCwzCM4wATDA3DiHHcCoe+wDU0o7tML0Oz12YEYekHwgisRWk0WFG7Ax05\nit5v/bY9zDhxsBJxNe+8MuWGhInQy25AGIZhGN2B+RcahpHFcWtWWsaXr1fotHloPfhCXi2Br5H2\n1evb1slgPUVw9bvplrtz65fXjiK54kLB0DAMw+hNTDA0DCOPtmsOReRM4NPAClX9YnpsEHgP8HpV\nfWQ76tGJ1Bf1sHn10lLpDbq5LTHKRmPttfb1CmXNU3tpA6IZiMj7gKcBU8CbVbX7dgoMwzjuKDs3\nmWBoGEYt2qo5FJFFwHnA7uCrtwE/A9qaZLZXIiUWDSzTi3S7BrfbtbGufqctmFM6jUsZfO3i1rWj\nXdkXrUJElgKPU9XTgZXAFR2ukmEYRum56ezzt0ePm2BoGIZPuzWHB4CXAVuD4x9Q1f8RkUvaXB+j\nw/SCBrdb6+VYt3wxIyOzOHTo3prnNUKz07X0EKPA5wBU9SYRmSMiD1HV/+5wvYw20O3zk3Fc0/Dc\nZIKhYRghbdUcqur9qjrNc0lV/6ed9TC6i17R4BrHLacAd3l/HwIe3aG6GG2k232OjeOehuYmEwwN\nw4jRMs2hiKwEzg0Ov1NVv9aE4gdGRmY1oZjO0w/tsDZ0B/3Qhh5hgMS/J/P7fhgLawPsPTD2beAZ\n6ecbRkZmnd6MepWhH8YB+qcdXU6tuanCjo3L2urG00z65Vnqh3ZYG/qTlgmHqroF2JJzisU+NAyj\nFzhIskPvmAvc3qG6GG1kx8ZlbRcGDaMEpeamXhYIDcNoH51KZTFAm4PPGIZh1MlXgZcDiMhTgAOq\nWju0rmEYRmuxuckwjKYzMNXG5GUi8lLgYmAeMAYcUtWnisjHgScDAijwz6q6vm0VMwzDyCENlrUE\nmATepKo/6nCVDMMwbG4yDKPptFU4NAzDMAzDMAzDMLqTTpmVGoZhGIZhGIZhGF2ECYeGYRiGYRiG\nYRiGCYeGYRiGYRiGYRhGC1NZtAoReR/wNJJUGG9W1a7LTCwi7wWeRdK/lwB7gG0kwvjtwHJVnRCR\nVwNvBo4CV6nqVhGZAVwNnEriYP56Vb25/a0AETkJ+DFJEKGd9Fgb0rpdCDwAvBP4US+1QUQeAnwc\neCgwDLwb+K9eaYOIPAn4HLBJVa8Ukcc0WncR+X3gQyTv/42q+tftak8tbG5qH70+N4HNT51sw/E2\nN4HNT+2k1+cnm5ts7dRTmkMRWQo8TlVPB1YCV3S4StMQkWcDv5vW8fnAB0gezA+q6hLg58AKEZkJ\n/C3wHOBM4K0iMgd4FfBrVT0DWE8yQXaKdwB3pZ8vpofaICIPJ5nUngmcBSyj98bhdcBNqjpKEq78\nCnqkDSLyYGAj8BWO5TRtxjP0fuA8VX0WcLKIPL9NTcrF5qa207NzE9j81Mk2HG9zE9j81AF6dn6y\nucnWTtBjwiEwSiJNo6o3AXPSHYJuYjdwTvr5HmAmsBT4QnpsB/Bc4I+A76nqvap6P/Atkpex0kbg\nG+mxtiMipwGnAV9MD/VaG54LfF1VD6vqHar6RpIXqJfacCfw8PTzw4BD9E4bxkl+WO70jjX0DKU7\nYr+lqt8PyugGbG5qE30wN4HNT51sw/E2N4HNT22jD+Ynm5ts7dRzwuEpHNuNgWTAH92hukRR1Uk9\nloR2JckE8RBVPZIec3U+Jf3s+KV3/K60rKPAlIh0wvz3MuCtwED698wea8MC4MEisl1EdovIc+ix\nNqjqZ4DHiMjPgOuB1fRIG9L3YDw43FDd02N3R87tBmxuah+9PjeBzU8da8NxODeBzU/tpNfnJ5ub\nbO3Uc8JhyADH1K5dhYgsA14P/E3w1UDk9HqOtwwReQ2wW1VvzahD17eB5Nl+GPBSEhODfwy+7/o2\niMhfALeq6m+T7PJcSfXz3vVtyKEZde/m+cvmphbQJ3MT2PxU5ni76fe5CWx+agl9Mj/Z3FT8eCdo\ny/zU7RNYyEESCdgxl8Q5s6sQkecBFwEvUNUx4L9FZDj9eh5JO8K2TDueqoIHVPWBdtU95YXAK0Tk\nBuBcEvv5e0XkQVl1zTrewTbcAdygqkdVdR9wL73XhtOBrwKo6o3AfOBwj7XBp6H3gORdf3jk3G7A\n5qb20A9zE9j81C1tcPTz3AQ2P7WLfpifbG7qjjb4tH1+6jXh8KskzqWIyFOAA54ZQlcgIieTmBW8\nSFV/kx7+Omm9gZcBXwa+AzxVRE5Obf+fSWJz/1XgFem5Z5NEumorqvrnqvpHqvoM4KPA35PYLr8s\nPaXr25DWYVREBlIH65kk49BLbfg5SXQ5RGQB8N/A1+itNgxwbOeqofcgnZxvEu4ZoFUAACAASURB\nVBFn///StIxuwOamNtAncxPY/NQNbThe5iaw+akt9Mn8ZHNTd7Sho/PTwNRUV1oWZCIilwBLSEK0\nvklVf9ThKlUhIn8J/B3w0/TQFIlq/qPAg4BfkISWnRSRl5GEC54CrlDVT4nICem5vw3cD7xOVQ+0\ntREeIvJ3wM0kD9zH6aE2pGOxMv3z70nCYvdMGySJRrUVeBRJaO93ADf1QhtE5OnAR4BHkoTD/hVJ\nBLqrG6m7iPwO8GGSja1/V9UL2tGeItjc1F56eW5K62/zUwfacDzOTWDzU7vp5fnJ5iZbO/WccGgY\nhmEYhmEYhmE0n14zKzUMwzAMwzAMwzBagAmHhmEYhmEYhmEYhgmHhmEYhmEYhmEYhgmHhmEYhmEY\nhmEYBiYcGoZhGIZhGIZhGJhwaBiGYRiGYRiGYZDk/zCMtiAipwAbgCcB9wKzgH9U1Ss6WjHDMI5r\nbG4yDKNbsfnJaDemOTTagogMANuBb6nqk1V1CfA84A0i8tLO1s4wjOMVm5sMw+hWbH4yOoFpDo12\n8RzgiKpe5Q6o6i9F5Mmq+oCInAZcBUwAs4F3qOpXReRdwCnAo4DfJ9k9ezLwh8DtqvpiABH5X8Ar\nSJ7pm4C/VtX729Y6wzB6FZubDMPoVmx+MtqOaQ6NdvG7wJ7woKo+kH58FPBOVX0u8GZgvXeaqOpL\ngdcDHwQ2qOpTgSeKyO+LyB8BL1HVJap6OnAPcG4L22IYRv9gc5NhGN2KzU9G2zHNodEuHsB73kTk\nDcCrgAcBtwHvAC4XkYuBIeDh3rU3pP8fAO5U1Zu9v08Gng48TkSuT4/PBMZb1A7DMPoLm5sMw+hW\nbH4y2o4Jh12IiBwF9pJMCj7LVXXaDlI3ICJfB7YBXwO+oqq/F5xyI7AiPXcIuF9Vny0iS4H/DfwD\n8ElVvVpE9gGDIvI6YDnwSa+csE8GgPuBL6jq/0rL/zPgS+nnjwHXqOoXm9bYpNwvAL/t/uTYeN2j\nqk8vcP1rSdr8V6r6iYxzfpGWeSQ9NKWqT2is5oZRPyLyW8DPVHVGcPx1wKtV9Y9bcM9zVfWjDVz/\nUeA2VX23iPwXsERVD3mnVOamlKmcuekGYFhEzgT+F/Ah77oic9PzgJ+kn98D3KKqH663bTFEZDNw\nZvrn40gWgvcBU8BTVfVwjeufD3wc+ICqrs8451+BxwL/4x0eVdXbG6q80RDp2mG+qh7scD0eDzxK\nVb/ZyXo0k3SNc4Gq/jDnnHcB81T1DZHv/gi4T1V/JCJvIumfdxa4ddX8pKofAT6SMT89EdjhXTvp\nfa45PzWCiLwhrZtbu7xKVb/djPJKXheb44te2/LnVkTeAbw6/fNU4DfAWPr3MlX9aY3rnwp8GvhG\n7DlLz7ka+BMSTbCjlPxgwmH3srRVE7yIDKjqVJOLnSJZVB0EQsEQVf2miPxKRNYC/wq8RkT+mcSx\n+j7gkcB/pad/kurFWq37fgs4T0Rmpguf95MsWnao6msbaFMmzl4fKj/IhcdLRC4isf2/iaT+WUyR\nLLhubaSuhtGrpFH63gbULRySzk0Aqvo74ZfB3HQ18LZ0U8mfm36Snv4NGpubNgEfAK5S1Yvqb1I2\nqrrKfRaRm0mE9kKLNBH5C5L27aH23LRcVXc3Ulejb/lTYBDoG+EwNdusRd47s4KkP36kqleWuG9l\nflLVSwFEZAbx+enPgeGCRU+bn0Tkr4H/UNV/z7swXEOm8/SFgBPmGlpfisgg8F6vvMx7h8Tm+BKU\nfm7LrqdV9X+TCPWkGtuPqOon86+q3OtM4HKScctjClirqh8vWq8QEw57jHTn/gbgPcAbgIcBq1X1\nmvT7d3LM5ODz6XdH053ebwIvA1aKyO3A50hMC74CzAM+C7wIuEFV35eW9wQSYe4UVT3q1WMh8CkS\nE4Zvkz5Laf1+rqonisg8kh3oU0jMHa4FFqT1OAH4NcnL/1zgGuCbaT2fC/wU+DOS3a1lIvJKkl0u\nd59/BUYAVPX7IgJwo4jMJLHB3yQivyaxv/+Iqn4ifbE2Ag8m2VF5U3rt69J23wOcQbLb9nJVdRNu\ns7lOVd/jmXLkMdCiOhhGS0h3Le8h2SR6PPB94M9V9T4R+Rvgr9NT7wVer6o/SeeZzSRzxXh6/Psk\nc8s8EfkJSVCFN8auD+7/cJK56XHAj0kWUO67o8B8kp3abcBpwAxgF8m8cUv69xjw4fT775DMTd8h\nsRI4DDgB7LmppcIJJHOca/9joDI3/RpQEZlM732RiPwGeCGJFna9iDwpbf/DSOa5NWlQiTOBS4Dr\ngZeQzOuva6FQ9kPgj0mE8Vpzj81NPYKIPIhk0/RM4CiJZc3bgI8B/6qqW0TkUcDtwJ+o6tdF5Ckk\n6RJ+X0T+EngryfN3A7BCVe9PtVeb0uMDwDtJnt+1wISIPFRVLwzqEn3X8551ERkGLiMRiIZINlcu\nScv7Bck64jUkz+4jSDQrU8A/kSz435xef4mqfi697oXAelV9clC/V6TtGCSx2jlPVXf52rB0g/fN\nJPPF1cCFqvrYtA8eIiKfJdkAvp1kzfUSEiuos0XkkSTrrnmq+oZ0LbM9redjgW+q6ivTurwu7ZM7\ngTNF5BJgN/BQYA7JJvhDgS+JyH8A7wNeIiKXk8yPp4rI99P7PVpE/pDEyul04OS0b68E9orIERKh\n45R0DstdQ3LMZBWmz9MAS0Tk/SRry0+o6tvSNi0D/p7EhPXnaZ/+imq+BpyclvfCtI/99es+kmd3\nAYkw/EFvzVrRnuc8t48A/hF4AvDfwAXpOVXPrYicR/KbcwKgwLmqelfaP78iWat+Nj3vUao6mdbh\nGpLosh+gNmXm0QMka9S3kfyWNKvcaVhAmu4lb2AfDkyq6pOAt3BsF2I5SdSppwKL0n+rvOueoqpP\nUNUbSHYf/kVVFwL/QjKpTpEsql7hXXM2cK0vGKZcCnxNVR9H4uj8TO87t4vyFmCXqv4u8ESSSeLd\nJA7PO1V1lqquTs/9gaoOqeqfpH+Pkkzw84E3pPf5PPA97x4Xe4uk24C/VdVT0u+Wquq30s9TIvIQ\nEgH0b9KdpfcCn5QkTDTAC4ArVVWAnWnd60JEHisi/xX59z4AVb2xRHGXiciNIvJdETm73joZRpt5\nMckP+WNIFiZvEJFZwMUkpo1PINm4eWH6Dn4euDp9//4K2J7uHr8euDU9/0GR618UufcaEv+ahSSm\nn8+PnPNa4O50Lng8yQLhahJTnL2qepKqvoVko+guVR3WJIT8/wB/QbK4nQ28T1UfTzIf3pmWPUWy\neHVz0/8DPqSqC4BbSRZD13BsbhoA/hm4Iq3PucCn0jkL4A9INuyeQGLG+o78rs9GRIYy5qZrAFT1\nx26BU4DVIvIfIvJDEVlZb52MtvAWkt/fJwBPIVlgvpLkt+4Z6TlLgH/n2G/5GcDXReQMkvfuzFQA\nuodkcQ/JOuIt6W/8C0iCm1xHsvH8/ohgeALZ7zpkP+tvI9moeSJJgJaXi4h796dIhAFJrWyuAi5P\n38t7SDZ0IL62+VSkr64EXpjW4VySuczdBxH5XRIt2ZPSPjqHak3Zc9I+WUgiQKxU1f8DfJdEiHwf\nnjVDylkkgsbjgWeLyDNE5GFpXZ5DImjeDRxV1aXAV4GPquppJALSl4DXqOqXVfWJqnoByUb4C0jW\nPI8jURp8Mu2TfyH1TUzrc1/aH18EXkqxNaRPZZ5W1SMk69ffA54GLCbRTs5LlQofB/5MVReRbAT8\nn8gYvJ5kjfsEVf1F2lf+vd+R3u930v65JFVGVKjx3F4K/Ditw2tJnoOv4D23IvJ0EqFxaXqfW0kE\ndcdzSH6LLiYR2p6T3ncGyVh+OtKuGFVaRxH5ZmR+/haAqv5MVe+LFzONV6Xrxv8nIm8veE0FEw67\nl38NHo5d3ncnkux6APyAxG4Zkpd7q6rem/7AbyHZjYLkAfyyV8azSCdGVd0OOJPILwKneS/aWcQf\n8jPccVX9HomJZMidwPNE5JnAA6r6GlW9g7jgm+UT+DNV/U76+TMc+yEry9OA/W5SU9X/S7LD+Fvp\n9z9R1R+kn/+DY31aGlW9WVV/J/LvrSWL+mfgH9JNgNXAP4nIonrrZRht5POqercm5jafJ9mpdn5v\n54rIo1T1C6p6OfA7wIiq/iOAJiaQh9Jr/Lni/sj1l0XufQbJRhCqeguJVjDkTuAZIvLHwAxVfbOq\n/ifl5qb7UyEPkrnpD1INBxnlZLGQZNfZzaffJ9FIPDX9/l5VdX5E/nxfGlWdyJibzilZ1BdJtEpP\nIVl0vkdEltRbL6PlvJBkw+KoJmkKPkGyEXI9x35Tn0Wy6eGEw2eSCI9nA59WVbf58WGOrSvuBF4r\nIqKqt6jqX3j3jL0Dp5H9rkP2s342sFlVj6jq/5Bo/f/0WLHJOyoiJ5EIv07ouzKtxxTJ7+kLJYl5\n4PrkGqbzS2CViCxQ1e+p6vlBm5YA16vqnao6TrLO8tu6U1VvSz//kLiGxz9/imQDfjxt209JBL6n\nAT9V1Z+k8+iHvOuy1lY+eWuea0mF3lRDPKGJL2WZNWRWe9y521R1ShM/5F+SbBQ+n0RT7VyIPgy8\n2NukzyqP4N7nAX+Ttutm4A4Srat/fd5z+wKOrX9/CCxQ1Yngfi8CPqOqd6V/f5TknXF83bvmkxzb\neFgK/GdkPAqhqmdE5udn1r6yil0kz/vTSLTtr0mVR4Uxs9LuJc+HbdLbPZgkMX+AxLzgglSVDsn4\n/tK77tfe5znB3wcgWTyIyOeBV4jINuC3VDW2uHoY1c6ud0fOeV9atw8Bc0XkSlV9V0abfp1x3Hcq\nvietd1kGSCbFsI6/IbHXd2U7jnKsTzuGqr7d+/xvqVnHn5D8gBtGJzhK/Id7kGPBD6aoftd+A8zR\nJCfXc4CLgHeLyI0kJqKzgQdLEkjAMYtgjlHVI7HrVfXHQV1qzk2qem26M//3JJth/0SyARMja27y\nTaFcQIGy85Obm34THL+bxGz+l1S3xZ/vO0Yq1LvPP5HEf/xFJCZvRvcxwvR38pGq+gsROUlETiYR\n0C4C1qQavqeT+MktIzFVdAvjE0hMr0m/fweJhvE+4O2q+tmcejyU/Hc961l/KPA+SYI4QWJK+B3v\nXPeOziGJfTAGSboHEfll+vn21PTyhamJ6B2pVirkxWmb9ojIbSRaQP+5fijVfRmu0+71PhddS8Ta\n/VCq5x7/PkXWVuGYQzLuIyRmrJvSzayXcExILrOGrMWY99lv05Jg/H9DosW8i3z8ez+VRFv4mLTs\nRzNd2fVQsp/bqjlX40G6HkF1n/vrxfA37tPAd0Xkr8hWqLQNVb3a+3O/iFxFUq9tRcsw4bC/OECy\nY/+hmmcmL+4s7+//z969x8dV1fv/f4VLgTQltiWxGEqRwvmoKCoeLpZ7kYtcj4KiXASKigqH/lCr\nBUELHkStlVPwWpCLKMcKFSlKFYFyQOTuV6ge+FAKbSMttDS1pJR22iS/P9beyc5kJteZ2TOT9/Px\n6KMze/bMfHYyWbM/e631WTsnbt8KfIPwx/ibPM9fS/jji4ulNGTvEF15+g7wHTPbE1hgZn/uR2xJ\nYxK3kwltG90/v72dlHUQrrR1lniOrlSNIVxxGsoE5h7M7O1E1VKz/KG/vYfR1U1z90WJzdsSFroV\nSctrhKGQ4xNXxyEMh1oW3Y4TntgYor/b6Crtx81sG8Lwz58QKre97jkKCViYh9Qpz/MPynpa3DbF\nGgnzbLrxsKj0HDN7G2G+9acIc2D6K9nmxO/XQs8ELtmGZYvbpux9xkbbCzqvL2pXns7x0KIcvYc5\niyxEicN7EyMtoGueppSnV+n+NzmW8N0HoabAhyGcJJvZIsKQ8GZ3X29mLwM3e9YQ0Wj/VYRenAuj\nXvjfmNkfoodzfX5W0M+/9SwvAzPdPdf3atLrQI2Zbe9hbtk2dD83uTU6tsWEnpUe3P1FuiqrnxU9\nJ9n79zpQl7ifPHfKNpTCLHnfJ9+5lbvfm9j/FXKf87zq7i1m9jhhKORJhKHyMLBzyMF4mdDj9rE+\n9+zdL4BZHlV6NrN/5nmvnJ9bwvdYA9H5q4VaGdmv0e2cka42uYfoIsvzwOGEHun/6veRZDGzB+l5\nPt0ykN5DC3PYn/UwxBcGce6oYaXlazAnBXcSuo93ADCz88zsU3le83HCWHnM7HjgbYnHFhK66KeQ\n/wrII4Sx6ZjZJELxh27M7CdmFlf4epHQWLUTPqQ79vOYLBr2AHAKXVemVxJNfDazDxJOTmNb6Jks\nPk6YaB0vM/EJwpffMgpsAMNKa8j/ex5JKIKxH4CZvYdwZffePPuLFF007Olm4IpobgVm9n5CYnVt\nYtdjzKw+mkv0H8CDZvZuM/u1mW3rYQHnpwhzaJYRrm6eHL3eTmZ2q5nVEgpC1JnZ1mb2nlzPzxFm\nsm2aSNeQtViNmV1qZudEx7QCeImutqnOuuZA9abWzP4jun0K8Hg0zCjZNu1O9/nYm+lqm2qi918a\nHf+p0XMmEYrjPN6PGAZkAMNKe2ubagjzxOKf8XjCz7ugywXJoOX6vf2OUMhjKwtF286g6/e1kDAn\nMa5o+wihFz3+rpkPfNRCEQ/M7CQz+4qZbWNmCy1UqoQwHSND+DtKfs6Tevtb782dhHnLW5lZ/Pd7\ndPZO7r6eUPX81GjTeXRP0G4nJEQfJceQUjNrMLN7LMyPhtA7mWxjOgh/l4eb2dio5+0s8ieByb+j\n7J9JTZ7b8fs8BextZhOjCzKfpmveY75zq6Qn6P2c53bgs4Rh9fFF6L7OIfPpbKd72aeDMK/v4OgC\nOma2n4WiNblebyvrmncN3X9GDYTPW5zAj6R7Z0cHeT630ePzgbOj7e8i/Ky3ofvv6PfR8+MLd+cR\n/o6yY4ndSuh5X5oYijpg7n5IP4aV9pUf/Jho2K2ZjSYUQxpQ+6zksHxlzzl81kKZYejZEMVl2n9L\nWOPmr1G3/fGEicfkeN5XCB/8ZwnFXzonGEdXpeYBb/f8JdC/Qqi89QJhaNg9Od7nJ8CV0Xv8A/iL\nu98P/JkwFOLlqNHL1pH4/17CVcnnCZN8p0ePfR84zkI1qzMJjU7s18DDFqqOxce0gZAM/yCK53OE\nxjJ+n+TPpvO+mX3EzH6W52eQHW+/WJgg/Cahx+MGM3vTzE6PHnvWzBrcfS3hC+6nUbw3E0rSFzyZ\nFRmgCwk9ZH+L/v6uBT6ZGN7ZQVjyYR6hUNQawjyWvxOSsH+Y2d8JFQGnRs/5BHBB9Fn/X8LV5Q2E\nXq4WQsK1rpfnJ10FTLBQ0e6aKI5Y/Ld9C3CmmT0XveemaNsz8ftFSU8+HYST0A9Gz58KnB89dh2w\nW9RmfYswHzF2O/ArM7uI7u1GfPz/R6gq+bHE1IGc7X10YvUHCsjM7o7apjOAb0Rt0yXRY/ea2fui\n74ePEpb8eJYwSuIS76P8vZTMUjPbnPj3IcLfaDPhe/gJwjJPt0f7PwDsR/fkcD/CfEOiHuJvEc5J\n/o+QSP42ukBzPXCfmf0jep3/jD63dwGfs6jQUSyaO5fvbx3yfNYJcweXRfE/Sygyk2+5gS8AX4va\niFpCD1J8jvSv6Phb3f3l7Cd6WBvvD8AT0TH9D6EyZ3KfJwjfx/+P0M7Nz4o357kEodjJd8xsVp79\nsmN5hZBsLCT8Th6kKynId26VfP4b5D/nieM5jkT71I9zyHw62+ne2s3omD4D3BF9lq4hdw/uCsJ5\n4jILF/+h+8/osug1nib8jn9KGAXSOe8w3+c2evirwC4Wlvr5FeH7ayOJz230e/424SL9s4QOja8l\nYsn+nd1GOKebC2ChAM8iCsjMfhy1z18Dzo7a57j39GYLHT0QLtYeZ2bPESrQ/tLdc/aU51PT0VHo\n5e6C6ErQTYQhPdsT5nY8Q/gC3orwZX9mNMftdMKXazth0vQNRQlK8rIwxOCbHk0Gt7Dm11vcfXrv\nz6xuFoal/MyLtF6iFJ+ZfZfQaG9DSBxOIhQtiOeMfdfdF+Rqhyz0jt1EKIzQRii7/lKJD6GimNmN\nhEJS3+pzZxkSM7vV3U9LOw4pHgtDxO4Avu9Z6+NFid+VhLbpbg9rqEmChTmHR8S9Y2b2E+BvHiqI\nFuL1jyOcO+3T585De5+9CMtc9DZMfdizxFIWJX7f7Qm9uO+KLkJUdPtczJ7D4wnDbA4jXL24mrCM\nwbUeSoK/AEyxMMThMkJX/2HARVE3qBSRmc20sL4NZvZOwry7p6L7OxOGGxSk8axwuxKuWkoFMrPD\ngb3cfRKhUtpsuhaIPTz6t6CXdug0wnj/gwknYVfleh/pQWvgFVk03OnmtOOQ4okuss+i+8iYpNmE\nXtwDgaOi7/Jhzcxui4cPWihgBaECaDyE8BhCtdbBvn6Dmb1mZrtamMf3cbp6XQvGwrDdly2aWkIY\nSVTw96km8RBSwpJDpfZVwhrWcWK4LflrdpS9ohWk8a4S3xBOsJsJJ13nRdvuIqwh4sAT7t4KYGE9\njwPpGtsrxTELuMXMFhOuOn7Bw6KhXyAMZfiG567kNaxEk9NfTDsOGbQH6Zq7tY4wBGVreiYv+5O7\nHZpM1wn4fYBGNfRPcYakSCd3byF/0iDVYRPhQnuPETwW5rO2xMMjzexuwsWtZ7P3HWYuA260sPbm\nJsIItU0WKp2eDnw+bucHw91Xm9nXCN8H8fDyL/X+rEG9zxYzOx+4OZp+s4KsIa7SxcwaCEuqzY0T\ntBK+90uEYc+dy6tExWBuz/ukMlf0aqVm9hdCsZMTCGPL4+o5qwnVl8bRfbmCVfRe/UkKIBr7fWSO\n7T8ilEcWqXjR/Ki4TPW5hPlRbYQ5L18ktDcXkL8dGkdUYtvd282sw8y2iebbSA7ufk7aMYhUg6j9\najOzXA/narOG/Tq47v4cOdZDdvdLCBe+C/EePyXMcyuqaA7gb/vcUeL5omP73LE47/32vveqLEVP\nDt19kpm9l57d+L1VQutVR0dHR02NRi2JVKGi/GGb2UmE6rtHEtZIes3dnzGzrwIz6DlcR+2TiCSV\n2x91du+82qZh5IQv3Zl2CFJG7pp1UkH/sIuWHJrZB4BV7t7s7k9HhT1aLVp/BmgidJOvIFwBi+1C\nonJmLjU1NaxePehRAQXX0DCqbOJRLLkpltzKKRYI8RSahZLnFwPHRMOJklXd5hPKPt9O93aoCXiU\nrvbpmWgOQU1fvYbl1D6V0+9XseRWTrFAecVTbrGUmVznTj0qcCaVU9s0WOX0mRiKoR7HDdMnM+Xb\n9/e9o8ggFLPn8GBgAqGww1sJ65AsICxA+svo/wWEdWSuN7N6wnCvSYRS6SIiQxK1KzOByYmJ4rcD\nl0fV6w4FFtGzHTqQULl0R+BjhKVaTqB7YikiUgo9egXcfZmZ7WhmEwhJ4XGEAloyTNwwfXKq718N\niXqVHEPBhwMUMzn8CfAzM3sQ2IGw9sxTwM/N7DxgKXCzu7dFyyb8kTBMYsZQJguLiCScSpiHcFti\n3s6NhIIF64FWwvIUG3O1Q2Y2FzjSzB4CNhItnCsiUmwWFjC/jrAk2BYz+xyh/Xoxmo/2ecJafAC/\ncvcX0olURKpJMauVbiRUhsp2VI5959F9oWIRkSFz9znAnBwP/TzHvj3aIXdvJ8xVFBEpKXd/FHhP\nL48/RBhtJSJSMMVc51BEREREREQqhJJDERERERERUXIoIiIiIiIiSg5FREREREQEJYciIiIiIiKC\nkkMRERERERFByaGIiIiIiIig5FBERERERERQcigiIiIiIiIoORQRERERERGUHIqIiIiIiAhKDkVE\nRERERAQlhyIiIiIiIoKSQxEREREREUHJoYiIiIiIiKDkUERERERERFByKCIiIiIiIig5FBERERER\nEZQcioiIiIiICEoORUREREREBCWHIiIyjGQyGZ5//nmWLFlMJpNJOxwREZGyouRQRESGjebmZZx5\n8a1MnTmf5uZlaYcjIiJSVrZJOwAREZFSqq1vTDsEERGRsqSeQxEREREREVHPYbXIZDI0Ny9j7do6\nRo4cy4gRI9IOSUREREREKkjRk0Mz+y5wUPReVwEnAfsAa6JdvuvuC8zsdGAq0A7Mcfcbih1bNWlu\nXsbUmfMBmD3tRCZO3DPliEREREREpJIUNTk0s8OBvdx9kpmNAf4G3AdMd/e7E/uNBC4D9gU2A0+Y\n2R3uvraY8VUbzaMREREREZHBKvacwweBj0e31wG1wNZATdZ++wNPuHuru28EHgYOLHJsIiIiIiIi\nEilqz6G7twFvRHfPBe4G2oALzOyLwCrgAmAcsDrx1FXAzsWMTURERERERLqUpCCNmZ0ETAGOJAwd\nfc3dnzGzrwIzgL9kPSW7Z7GHhoZRhQ5zSNKOZ+3aus7bY8bUpR5PrFziAMWSTznFIiIiIiLpKUVB\nmqOBi4Fj3L0VuD/x8Hzgx8DthN7D2C7AI7297urVrQWOdPAaGkalHk9Ly/put9OOB8rj5xJTLLmV\nUyygRFVEREQkTcUuSFMPzAQmu/u/om23A5e7+yLgUGAR8BhwfbR/GzAJuLCYsYnI8JCjYvKTwC2E\nOdcrgTPdPZOrYrKZbQvcBOxKaJvOcfeXSn8UIjIcmdnVhLoMHcBUd38y8dj5wOmEtulJd78onShF\npJoUuyDNqcBY4DYzW2hmCwm9hTea2QPAcYREcSMwHfgj8CdgRtTLKCIyaMmKycAxwGzgcuBadz8E\neAGYkqiYfARwGHCRmY0GTgNa3P1g4EpCcikiUnRmdiiwR9R+nQtck3isHvgycFDUPr3LzPZPJ1IR\nqSbFLkgzB5iT46Gf59h3HjCvmPGIyLDzIPB4dHsdMJIwYuG8aNtdhBMsJ6qYDGBmccXkycDN0b73\nAVp/NSWZTIbm5mUAjB8/gREjRqQckUjRTQbuAHD358xstJnVuft6YFP0b5SZvUGoBr8m/0uJiPRP\nsXsOpQxlMhmWLFnMkiWLyWQyaYcjUjTu3ubuyYrJvwfq3H1ztG01oTJylTOTKQAAIABJREFUvorJ\n44DXotdqBzrMrCSFvKS75uZlTJ05n6kz53cmiSJVrrP9icTtFdGIqxnAEmAp8Gd3f6HE8YlIFdJJ\nzjAUn2QBzJ52IhMn7plyRCLFFVVMPgc4GliceChfZeSBbu+mnArrVEssa9fWUVvfCAytInM5VnYu\nhxiSyimecoqlDNQQ5h5iZjsClwL/BrQC95nZe6J6DnlVw8+zGo4BquM4dAzVScnhMBWfZOWSHL4F\nGsIllS2qmHwJcLS7v25m681sO3ffBDQBK6J/yYrJTcCjie3PRMVpatx9S1/vWS4VYMupGu1QYylU\nReZyq+xcTr8jKK94yi2WFGS3S28jFNECeCfworu3AJjZn4F/JxT5y6tcfp6DVU6fiaGohuPQMZSH\nYrRNGlYqPcQ9ixfPeVRDuKSiJSomHxdXTAbuBU6Jbp8MLCBUTN7XzOrNrI4w3/BB4B7gY9G+J9B9\nKR4RkWK6h6itMrN9gJcTw+SXAu80s+2j+/9O91ERIiKDop5Dyam2vpG60U15H1dxCKkQyYrJEIZk\nnU1YOuc8wgnWze7eZmZxxeQOoorJZjYXONLMHgI2Rs8VESk6d3/EzJ6KCmS1Aeeb2VnAOnf/rZnN\nBBaa2RbgYXf/c6oBi0hVUHJYpYqdvGneolSCXiomH5Vj3x4Vk6MiNFOKE52IDAdmdizQ4O43m9kv\nCesWfjVqc3rl7hdnbVqUeCxf+yYiMmgaVlqlSlHZr7a+sde5iyIiIsLXgbvN7MOEi/LvBy5MNyQR\nkdzUc1hl2tu2sHx5SAZr6xu73YfQiygiIiIls8HdV5vZ8cAt0ZD1trSDEhHJRclhldm4fg2z5rbw\nZusaxu7yzs77tfUr2bBuFbOnnZh2iCIiIsPJdmb2FeAY4MtmtiewY8oxiYjkpGGlVai2vpEdRo3p\ndr9udJOGgIqIiJTeeYRlKM529zcJ661OTzckEZHc1HM4jGQPMRUREZGiawWuBjrMbFfgLmCzmdW4\ne0e6oYmIdKfkcBjJHnLaH8mEUktWiIiIDNifgN2BNwlL5dQCrwC1ZvZZd789zeBERJI0rHSYyR5y\n2peQUD5d1KqnIiIiVexXwLHuPsrddwSOBW4C3g18Nc3ARESyKTmscJlMhiVLFhd1uKiWrBARERm0\nye5+T3wnun2gu68AMumFJSLSk4aVVrh4PcOBDBUVERGRktlsZt8BHiIMK92XMKT0SGBTqpGJiGRR\nclgFQq9e+nPaM5lM59BTracoIiICwKnARYSqpVsBzwGnEOYenp5iXCIiPSg5lIKJezEBZk87kaam\nsSlHJCIiki53XwVcbGZbATXR5g53b08xLBGRnJQcSkFpbqKIiEgXM5sGfI3uC993AFunE5GISH5K\nDkVERESK51xgb3dfnnYgIiJ9UXJYoeL5fUOpUqo1DEVEBiZ7brXaTemH55UYikilUHJYoQpRpTSs\nYdgCPM3saScyceKehQ1SRKTKZM+tVrsp/bDIzG4FHgDaom0d7n5DeiGJiOSm5LCCJK9YL1++rCBV\nSjVHUERkYNRuygA1EdYz/GB0v4bw5a3kUETKjpLDChJfsa6tb2TNP58t2LqG8fDSzZs3A7By5YqC\nvK6IiMhw5+5npx2DiEh/KTmsMLX1jdSNbmLDulcL9prx8NI3W+9nh1FjhzRUVURERMDMfu3uHzez\n5hwPd7j7riUPSkSkD0VPDs3su8BB0XtdBTwJ3EJYCHYlcKa7Z8zsdGAq0A7M0Vj80oqHqBZiqKqI\niIhwYfT/QXStbxirLXEsIiL9slUxX9zMDgf2cvdJwDHAbOBy4Fp3PwR4AZhiZiOBy4AjgMOAi8xs\ndDFjExERESkWd38luvlTd1+a/AfcnGJoIiJ5Fbvn8EHg8ej2OmAkcChwXrTtLuDLgANPuHsrgJk9\nDBwI/K7I8YmIiIgUnJmdQbjwPSFraOm2wCu5nyUikq6iJofu3ga8Ed09F/g9cLS7b462rQZ2BsZF\nt2Orou0iIiIiFcfdf2Fm/0OoSvp1uoaWtgMvpxaYiEgvSlKQxsxOAs4BjgYWJx7KHoPf13apAHH1\n0zFj6hg5cqwWiRYRkWEpukh+lpm9H3gLXec3ewD3pxaYiEgepShIczRwCaHH8HUzW29m27n7JsLa\nPyuif+MST9sFeKS3121oGFWskAelFPGsXVtX9PfozZgxdZ3HmYwl3h5vi6ufMvdpbrnqNJqa/i2V\neLOV02dGsYiIDA9mdjuwNz17C5UcikjZKWpyaGb1wExgsrv/K9p8L3AK8EvgZGAB8BhwfbR/GzCJ\nripfOa1e3VqssAesoWFUUePJZDI0Ny9j+fJlRXuP/mhpWd95nC0t63tsT26LF4lOPidNxf4dDYRi\nyU+JqohUobe7e3lcJRUR6UOxew5PBcYCt5kZhDUSziYkgucBS4Gb3b3NzKYDf4z2mREXpxFobl7G\n1Jnztf6giIhI5XnezLZ3941pByIi0pdiF6SZA8zJ8dBROfadB8wrZjyVJtljqPUHRUREKoeZ3RLd\n3BH4h5k9DmyJtnW4+6fSiUxEJL+SFKSRwVGPoYiISMW6j66rutmF9nS1V0TKkpLDIot7/wDGj58w\n4Mqd5dZjmD3/Ma5MCqQ+J1JERKRcuPtNAGY2gZ5f5G1mVuPu5fMFLyKCksOii3v/AGZPO5GJE/dM\nOaKhye7NjCuT1tavZM0/n1UPp4iISHd/AnYH3iQkibXAK0CtmX3W3W9PMzgRkaSt0g5gOKitb+ys\n3lkNausb2WHUmG7360Y3ddsmIiIiAPwKONbdR7n7jsCxwE3Au4GvphmYiEg2JYciIiIixTPZ3e+J\n70S3D3T3FUAmvbBERHrSsNISG+ocRBEZGDPbG7gD+L67/9DMbgL2AdZEu3zX3ReY2enAVKAdmOPu\nN5jZtoQr/LsS1mA9x91fKvUxiEhF22xm3wEeIgwr3ZcwpPRIYFNvTzSzq4H9o+dNdfcnE4+NB/4H\n2Bb4q7t/vkjxi8gwop7DEokLtzz88INMnTmfqTPndyaJ2TKZDEuWLK74Ai/xMS9ZsphMRhdHpfTM\nrBaYRdcaqkT/T3f3w6N/C8xsJHAZcARwGHCRmY0GTgNa3P1g4ErgqlIfg4hUvFMJF53OA74AjAJO\nAZYDp+d7kpkdCuzh7pOAc4FrsnaZBcx09/0JBW7GFyF2ERlm1HNYInHhlv4sS1EtS1jExwxPV0Ux\nHqlIm4Djgel0LyWfXVZ+f+AJd28FMLOHgQOBycDN0T73ATcUNVoRqRqJaqSvAZdmPdzh7u19vMRk\nwqgH3P05MxttZnXuvt7MtgIOAj4RPX5BgcMXkWFKyWEJDWRZinJbwmKwausbuy13MX78BIBuvaYa\nXivF4u5thCvq2Q9dYGZfBFYBFwDjgNWJx1cBO0fbX4teq93MOsxsG3ffkv2CIiJZ7gcOp2vh+6QO\nYOs+nj8OeCpxfzWhXVoMNACtwNVmtg/wkLtfMuSIRWTYU3Io/ZJM8AYq7kFsb/8r0z65DwCz5j5N\nbX0jG9atUq+ilNotwGvu/oyZfRWYAfwla5/snsW+tnfT0DBq8NEVWLXEsnZtXeftMWPqBv1aQ32d\nQsWRVE6/IyiveMoploFy98Oj/ws1haeGrqvGNUAT8N/AMuD3Znasu9/d2wtU8s8zVg3HANVxHDqG\n6qTksICSxWagq5esGgxkWGwuIRF8lVlzn+58jbrRTUWIVKR37n5/4u584MfA7YSr9LEm4FFgRbT9\nmag4TU1/eg1Xr24tXMBD0NAwqmpiaWlZ3+32YF9rqK9TqDhi5fQ7gvKKp9xiGSwz+3dgZ3e/y8yu\nBA4AZrj7Q308NW5/Ym8DVka3XwOWxQWyzOw+YC+g1+SwXH6eg1VOn4mhqIbj0DGUh2Ikt0oOCyie\nK5jsEetLMqHcvHkzACtXrihqnINViKGu1TJcVipOZ4+fmd0OXO7ui4BDgUXAY8D1ZlZPqEp6IKFy\n6Y7Ax4B7gBMIw8RERAbiGuBsMzsY2A+4EPgBYchpb+4BLgfmRENHX3b3NwDcfYuZvWhme7j7C8AH\ngFuLdgQiMmwoOSyweEH4/komlGv++Sw7jBpb8YVoRMqFmR0AXAc0AlvM7HPAN4AbzWw9Yc7OOe6+\n0cym01XVdIa7t5rZXOBIM3sI2AicncZxiEhF2+juz5vZZwnL5PzDzNr6epK7P2JmT0UFstqA883s\nLGCdu/8W+P+Am6LiNM+4+11FPQoRGRaUHJaBOKHcsO5V9ayJFJC7Pwq8J8dDv8mx7zxgXta2dmBK\ncaITkWGi1sw+DvwHcIWZjQFG9+eJ7n5x1qZFiceWAAcXLEoREbTOoYiIiEgxXUxYM/USd3+dMKz0\n++mGJCKSm3oORURERIrE3RcCCxP3Z6QXjYhI79RzKCIiIiIiIuo5TMtQ1g0UEREREREpNCWHKRnq\nuoEiIiJS/szsO8D17r447VhERPqi5DBFqkwqIiJS9dYCvzaz14HrgdvcfWPKMYmI5KQ5hyIiIiJF\n4u7fdvf3A58D9gAeMbMfmdk7Ug5NRKQHJYciIiIixdcETAR2AFqBn5vZF9INSUSkOw0rFRERESkS\nM5sBnAk48FPgLHdvM7MRwBPAj1IMT0SkGyWHIiIiIsWzDTDZ3buVKHf3jJlNTykmEZGclByKiIiI\nFM9m4CwzA6ghVKJrI/Qk/ibFuEREeih6cmhmewN3AN939x+a2U3APsCaaJfvuvsCMzsdmAq0A3Pc\n/YZixyblJ5PJ0NwcLq6OHz+BESNGpByRiIjIkIwBjgHuISSHHwIeBSYBxwJT0gtNRKS7oiaHZlYL\nzAL+SNeaDR3AdHe/O7HfSOAyYF/CFbYnzOwOd19bzPikfMRJ4fLly5g192kAZk87kYkT90w5MhEZ\nrOTFnrVr6xg5cqwu+Mhw9Hbg/e6+ATrPjW5x9+PM7OF0QxMR6a7YPYebgOOB6YSrZbGarP32B55w\n91aAqLE8EPhdkeOTMtHcvIypM+fzZusaxu7yzrTDEZECiP+ua+sb2bBulS74yHC1K7AlcX8TsLuZ\nbQPUphOSiEhuRU0O3b0NaIvG2SddYGZfBFYBFwDjgNWJx1cBOxczNik/tfWNdHUwi0g1qK1vpG50\nU9phiKTpLmCxmT1JmDrzPuAPwKeABWkGJiKSLY2CNLcAr7n7M2b2VWAG8JesfbJ7FntoaBhVhNAG\nr6FhFGvX1nXbNmZMXZ69JSnfz2nMmLqC/p7L6TOjWEREhgd3v8zMfgG8h3B+c4W7LzKzraOL6CIi\nZaPkyaG735+4Ox/4MXA7ofcwtgvwSG+vs3p1a+GDG6SGhlGsXt1KS8v6btuz70tP7W1b+Nvf/pHz\nsZaW9QX7Pce/o3KgWPJToioi1cTMaoDb3f1kQnXSTkoMRaQclSo57OwJNLPbgcvdfRFwKLAIeAy4\n3szqCeWdJwEXlig2SdHG9WuYNbdFcw1FRKTquHuHmS02symEUVKZxGMvpheZiEhuxa5WegBwHdAI\nbDGzzwHfAG40s/VAK3COu2+MFoKNq5rOiIvTSPXTXEMREalinyD3l9zbSx2IiEhfil2Q5lHCGPts\nPRZ9dfd5wLxixiMiIiJSSu6+W9oxiIj0VxoFaURERESGBTPbDfgesJO7H2ZmnwEecPfF6UYmItLT\nVmkHICIiIlLFriNUao/PuRyYk144IiL5KTkUERERKZ5t3f1OQsE93P1B+rFkl4hIGpQcioiIiBRP\nh5m9Jb5jZnsB26cYj4hIXppzKCIiUmKZTIbm5mWsXVtHS8t6xo+fwIgRI9IOS4rjCuBRYGczWwTs\nBJyRbkgiIrkpORQRESmx5uZlTJ05n9r6RjasW8XsaScyceKeaYclReDuC81sH2AvYBPwvLtvTDks\nEZGclByKiIikoLa+kbrRTWmHIUVmZjsDpwJjiOYamlmHu3891cBERHLQnEMRERGR4vk9sDehIM2W\n6P+2VCMSEclDPYciIiIixdPq7lPSDkJEpD/UcygiIiJSPI+Z2TvTDkJEpD/UcygiIiJSPMcAF5nZ\na4RhpQAd7r5rijGJiOSk5FBEqpqZ7Q3cAXzf3X9oZuOBWwgjJ1YCZ7p7xsxOB6YC7cAcd7/BzLYF\nbgJ2JcwROsfdX0rjOESkYp0Y/d9BVJCmv8zsamD/6LlT3f3JHPtcBRzg7ocPNVAREQ0rFZGqZWa1\nwCzgj4STKwhrjl3r7ocALwBTzGwkcBlwBHAY4Sr/aOA0oMXdDwauBK4q7RGISBV4BTge+Ly7LwXG\nRdt6ZWaHAnu4+yTgXOCaHPu8CziYrvZNRGRIlBxKWctkMixZsrjzXyaTSTskqSybCCdlrya2HQrM\nj27fBXwI2A94wt1bo/XHHgYOBCYTeh0B7ou2iYgMxI+AiYT2BGAfwoiEvnS2P+7+HDDazOqy9pkJ\nXMIAeyRFRPJRcihlLV4o+uI5jzJ15nyam5elHZJUEHdvc/dNWZtHuvvm6PZqYGfClfzViX1WJba/\nFr1WO9BhZhqOLyID8Q53vwh4A8DdfwT0Z4HLzvYnErdXAJjZ2cD9gL4YRaRgdJIjZam9bQvLl4fv\nOy0ULUWU72r7QLeLiOSzJXknGsa+/SBep4Zo+KiZjQHOAI4Gxg81QBGRmJJDKUsb169h1twW3mxd\nw9hdVAFcCmq9mW0X9Sg2ASuif+MS+zQBjya2PxMVp6lx9y3ZL5itoWFU4aMepDRjWbu2+wi4MWPq\nBh1P8rXSfJ1ixDHU1yq0cokDyiuWIbjNzO4Ddjeza4EPAz/sx/Oy26W3EYpoARwePfZnYDtgopnN\ncvcv9faC1fDzrIZjgOo4Dh1DdVJyOAiZTKZzeOP48RNSjqZ61dY3kpxjn+xNHD9+AiNGjEgpMqlA\nNXT1+t0LnAL8EjgZWAA8BlxvZvWEqqQHEiqX7gh8DLgHOIEwhKtPq1e3FjL2QWtoGJVqLC0t63vc\nH2w8yddK83WKEcdQX6uQ0v7MJJVbLIPl7tea2WOEYlcbgZvc/al+PPUe4HJgjpntA7zs7vHQ1HnA\nPAAzmxC9Zq+JIZRP2zRY5fSZGIpqOA4dQ3koRnKr5HAQ4nlwALOnnUhT09iUIxoe4t5EeJrZ005k\n4sQ90w5JypyZHQBcBzQCW8zsPMKaYzdFt5cCN7t7m5lNp6uq6Qx3bzWzucCRZvYQ4aTu7BQOQ0Qq\nnLs/Djw+wOc8YmZPmdnDhItW55vZWcA6d/9tYtfO4aYiIkOl5HCQQq+WlFptfaN6EKXf3P1R4D05\nHjoqx76dV+IT29qBKcWJTkSkd+5+cdamRTn2WUpXJVQRkSFRtVKpOKEH8WlVLxURERERKSAlh1KR\nausb1XsrIiJlz8xuyrHtjymEIiLSJw0rFRERESkwMzsd+Bzwnmjecmxb4K3pRCUi0jslhyIiIiIF\n5u6/NLMHgFuBr9NVMbkN+EdacYmI9EbDSgsgk8mwZMniziIp0LXsQnKbiIiIDB/u/jJwJPCiuz8A\nrAXeTqh+LCJSdorec2hmewN3AN939x+a2XjgFkJiuhI4090z0fCLqUA7MMfdbyh2bIWydOlSps6c\n323Bdi3iLiIiIsDNwB1m1k6oiPwb4Hjg46lGJSKSQ1F7Ds2sFphF19phAFcA17r7IcALwBQzGwlc\nBhxBWCT2IjMbXczYCq22vpEdRo3pc5uIiIgMK03u/mvgVOBH7v4VQCcHIlKWij2sdBPh6tiriW2H\nAvOj23cBHwL2A55w91Z33wg8DBxY5NhEREREim07M6sBPgL8Lto2KsV4RETyKmpy6O5t7r4pa/NI\nd98c3V4N7AyMi27HVkXbRURERCrZQmAd8Iq7P29mFwHPpRyTiEhOaVcrrRng9k4NDelddFu7tq7z\n9pgxdb3sKcU2Zkxd52chk8mwdOlSAHbbbTdGjBjRbd80PzPZFIuIyPDg7tPN7Nvu/q9o02+BH6QZ\nk4hIPmkkh+vNbLuoR7EJWBH9G5fYZxfgkd5eZPXq1uJFmJDJZGhu7qo4On78BFpa1gOhIunf/vYP\n6utrSxKL9NTSsr7zs7BkyWKmzgwjlmdPO5GJE/fs3K+hYVTJPjN9USz5KVEVkWpjZrsB3zOzndz9\nMMJ0mgeAxSmGJSKSU6mSwxq6egPvBU4BfgmcDCwAHgOuN7N6wvo/k4ALSxRbr5qblzF15nxq6xvZ\nsG4Vs6ed2PmYKpKWn9r6xrRDEBERSbqO0FP4pei+A3OAw1OLSEQkj2JXKz3AzBYBnwcuMbNngMuB\ns8zsQeAtwM1REZrphKqmfwJmuHvZdGfU1jdSN7opZ+KhiqQiIiLSi23d/U7CxW/c/UH6MX1GRCQN\nRe05dPdHgffkeOioHPvOI6z/IyIiIlItOszsLfEdM9sL2D7FeERE8kq7II3IoLW3bWH58jAfdPz4\nCSlHIyIiktMVhOkz46LRVDsBZ6QbkohIbkoOpWLFcz7h6W5zQUVERMrIIuB9wLsJ6z8vdvc30w1J\nRCQ3JYdS0WrrG7v1IAI97qtXUUREUvQgsIFQV+GPQCbdcERE8lNyKBUvu2psfL+2fmVnhdmmprFp\nhykiIsOQu7/LzHYGDiMMJ51lZv9094+kG5mISE9KDqUqhEqyHd3u141uSi8gERGRLtsAWxOqxG8h\n+YUlIlJGlBwOQPZwRREREZHemNkLwPPAncDV7v6PlEMSEclLyeEAaNF7ERERGaD/Jix4/ylgHzNb\nCPyvu69MNywRkZ6UHA5Q9vBFERERkXzc/QfADwDMbBJwCfALdA4mImVIDZOIiIhIkZjZCcAhwEHA\ntsBC4JpUgxIRyUPJoYiIiEjxnALcA3zP3V9NOxgRkd4oORQRkZwymQzNzd3XDB0xYkSKEYlUpAuA\ni4BPmFkH8Ajw3+7+ZrphiYj0pORQRERyam5extSZ86mtb+xcM3TixD3TDkuk0lwHNAM/ISxl8aFo\n2xlpBiUikouSQxERyUtrhooM2Vvd/ROJ+3eZ2f+mFo2ISC+2SjsAERERkSpWa2Yj4ztmVgdsl2I8\nIiJ5qedQREREpHh+CjxrZk9F9z8AXJZiPCIieSk5FBERESkSd7/BzO4F9gHagf9093+mHJaISE5K\nDvOIq/QtX76s751FRERE8nD35cDy+L6Z/dTdz0sxJBGRnJQc5hFX6XuzdQ1jd3ln2uGIiIhI9Tgk\n7QBERHJRctiL2vpGoCPtMESkwMzsMOA24O/RpmeAmcAvCIW6VgJnunvGzE4HphKGg81x9xtKH7GI\nDEdmdjWwP+FkZKq7P5l47HDgW0Ab4MCn3V0nLSIyJKpWKlWtvW0Ly5cv4+9//zvPPfd/LFmymEwm\nQyaTYcmSxZ33ZVha6O6HR/+mAt8ErnX3Q4AXgClRhcHLgCOAw4CLzGx0ahGLyLBhZocCe7j7JOBc\n4JqsXeYAp7j7QcAo4JgShygiVUg9h1LVNq5fw6y5LbzZej87jBoLwOxpJwIwdeb8zvta2HtYqsm6\nfyjw2ej2XcCXCVfjn3D3VgAzexg4EPhdqYIUkcpkZs29PPzWfrzEZOAOAHd/zsxGm1mdu6+PHv+A\nu78e3V4NjBl8tCIigZLDSFyAZvPmzQCsXLki5YikUOLhweH/7O0yTHUA7zKzOwknVFcAI919c/T4\namBnYFx0O7Yq2i4i0peDh/j8ccBTiftxu7QYIE4MzWxn4Cjg0iG+n4iIksNYsgDNDqPGqhCNSHVb\nDMxw99vMbHfgAWDrxOPZvYp9be+moWHU0KIroKHEsnZtXbf7Y8bUDej1hvr8fK+V5usUI46hvlah\nlUscUF6xDJS7Ly3wS9aQVQjBzBqB+cDn3X1tXy9QyT/PWDUcA1THcegYqpOSw4TuPUya0y1Srdx9\nBaEgDe7+opm9AnzAzLZz901AE7Ai+jcu8dRdgEf6ev3Vq1sLH/QgNDSMGlIsLS3re9wfyOsN9fn5\nXivN1ylGHEN9rXjkC8D48RMYMWLEoF4Hhv6ZKaRyiyUF2e3P2wjFsgAwsx2Bu4FL3P3e/rxgufw8\nB6ucPhNDUQ3HoWMoD8Vom1SQRkSGHTM7zcy+Ed1uBBqAG4FTol1OBhYAjwH7mlm9mdUBk4CHUghZ\nJK945MvUmfM7k0SpCvcQtUlmtg/wsru/kXh8FnC1u9+TRnAiUp1K3nM4kBLypY5NRIaN+cCtZvZn\nwnDSzwN/A35uZucBS4Gb3b3NzKYDfyQMJ5gRF6cRKSeaQ1193P0RM3sqKoTVBpxvZmcB6wht0pnA\nHmb26egpt7r7dSmFKyJVIq1hpQvd/ePxHTO7kVBCfp6ZXQlMAX6SUmwiUuWian8n5njoqBz7zgPm\nFT0oEZEs7n5x1qZFidvblzIWERke0koO+1NCXsmhFFy87mG++0OdryMiIiIiUqnSSA77W0JepOC6\n1j0M1Wjj+7X1K9mwbpXWPBQRERGRYSuN5HCwJeS7KXR1nuyy4lK9sqvR1tY3Uje6CShdOflyKp1c\nTrGIiIiISHpKnhwOoIR8rwpdeja7rLgMT0MpJ99f5VQ6uZxiASWqIiIiImkq+VIWAyghLyIiIiIi\nIiWSxrDSfpWQTyEuERERERGRYSuNYaX9LiEvUg4ymUznwtKqZioiIiIi1SqtpSzKRnzin1zOQIan\n5LIWySSwuXkZU2fOB1A1UxERERGpWsM+OYxP/OOlDWT4ipe1gKd7JIGhwqmIiIiISPUa9skh9Fza\nQIav/iSByWGmoKGmIiIiIlIdqjo57G2umIaTSj7Zw0uzty9fvoxZc5+mtr6RDetWaaipiIiIiFSF\nqk4Os+eKjR8/oTNZjE/wNZxUsmUPL83eHn9m6kY3pRekiIiIiEiBVXVyCN2HCcbJYm19I2v++WyU\nFGo4qfSUb3hp9hDkfEVsREREREQqTdUnh9lq6xupG93EhnWvph2KlLlk4pdP3JvY3v5Xpn1yH3bd\ndYKSRBERERGpSMMuORTpr+xhpPmEuYevMmvu0+SqdCoiIiIiUgk03fRNAAAQPklEQVSUHIr0YiCV\nbLXchYiIiIhUsq3SDkBERERERETSp+RQRERERERENKxURERkOEuuCVxf/+6UoxERkTQpORQpIC1t\nISKVJrkm8C1X1TF69M4pRyQiImlRcihSQHGF096qlmYyGZYsWQwogRSR8qCCWiIiAkoORQqur5Os\npUuXdl6l17IXUgzxMMG1a+sYOXKsLkCIiIhIvyg5FEmBrtJLMSWHCeoChIiIiPRXVSWHyUn148dP\nSDkaEZH06AKEiIiIDFRVJYfZV8tjySIhIqWUvGABumghIiIiIuWrqpJDyH21PC4S8mbrGsbu8s4U\nopLhJr4gsXz5MmbNfZra+kY2rFvF7GknMmZMXa/PzZVQas6YiIiIiBRb1SWH+YSksSPtMGSYyL4g\nUTe6qTNhXLeuFsi/7EXcA55MKDVnTERERESKbdgkhyKlln1BIjth7G3Zi9r6xm4JJeTuQVQvo4iI\niIgUipJDkRLKThj7KhrS17qJ6mUUERERkUKpyuRQBWikkmT3DmarrW/stQcx7mUUERERERmKqkgO\nZ157Pateb2dL6wpgogrQSEWJP6/t7X9l2if36XWfuAdx/PgJNDcvy3kRJHtJFw0zFZFSUNsjIlL5\nqiI5XLexhjVb78FWmVWwbdimAjRSScKw0FeZNffpvBc1kj2IcRXU5L7ZjwHdEknQCZuIFE/2clIa\n4i4iUnnKKjk0s6uB/QlZ3VR3fzLlkERKqq+LGj17xfMXvIlln7Alk8W1a+sYOXKsEsY+lKptUs+L\nVLq+5lHLwPTW9pjZh4ArgTbgbnf/r3SiFJFqUjbJoZkdCuzh7pPM7B3ADcCklMMSKTu9JZDJx5Lz\nFJMnbMkiNuvXrmTaJ/dh110ndM53bG5exubNmwHYdttth32SUsq2ST0vIhLrR9szGzgKWAH8r5nN\nc/dnUwhVRKpI2SSHwGTgDgB3f87MRptZnbuvTzkukYrU29zbuIhNPJQ1Od8xHq66w6ixtLe3dUse\nh2mSWNK2ST0vMtzFPega2ZC/7TGz3YEWd38ZwMzuBo4A8iaHJ3zpzlLELCV2w/TJaYcgVaacksNx\nwFOJ+6uBnYHFfT1x84a1tK9fT/uGNWxgB95sbQFq8v4P9LnPUJ5T6a9fjjHp9Qe37w6jxgKwYd0q\ngM6exPh+vM+mN/7Ff133Jza98S/esvO/EYu3A8z55qeHa0/WgNqmc6Z8mjc3ZjjjtDPZaaexA3qj\n5cuX9fhdDUYxXmfDulUDfq2hPj/fa6X5OuXysy1kTMnnv/TSS7S0DO66RyF/NnG7c+lnjmTXXXtW\nce6vCm+zcrU944AXov9XJx5bBUwsXWhSLqZ8+34liFJQNR0d5VG0xcx+Cvze3edH9x8CznH3F9KN\nTESGM7VNIpKG3toeM5sEfNndPxo9di6wu7t/Ld/rnfClO8vjhE8K7q5ZJ9WkHYNUj3LqOVxBuBIW\nexuwMqVYRERiaptEJA29tT0vZz22S7QtLyUQItIfW6UdQMI9wCkAZrYP8LK7v5FuSCIiaptEJBV5\n2x53XwbsaGYTzGwb4LhofxGRISmbYaUAZnYVcAihLPP57r4o5ZBERNQ2iUgqstseYB9gnbv/1swO\nBr4T7Xq7u38/pTBFpIqUVXIoIiIiIiIi6SinYaUiIiIiIiKSEiWHIiIiIiIiouRQREREREREymsp\niz6Z2WHAXGCKu/8+2rY18C3C2j+NKcfyXuBHQAfwjLt/oVTxRO8/ErgZaATeAM5291dLGUNWPG8D\nbgBGAFsDF7n7X1OK5RLgyOjuVsA4d7c0Yoni+TJwOrAZ+IK7P5lSHGcDVwBLok1/cvdvpRFLzMze\nCjwHnOTuD6YZy0CY2dXA/oS//6lp/U4T8XwXOIjQzl/l7nekHM8OwN+BK9z95hTjOB2YBmwBvu7u\nd6cURx3wc+AtwHbA5e5e8mqTZrY3cAfwfXf/oZmNB24htJMrgTPdPZNiLDcSPsObgTNK9Z2WHUti\n+9HAAnevqIvr5dY+5ZLdZgFPkuOzGP0NTwXagTnufoOZbQvcBOxKKN5zjru/VPqj6N7WAfdTYceQ\n3UYCiyrpGHK1rcCzlXIM/W2TBxL7QPOTimnczGwicCGQfbL4FWAxULL1e3qJ5b+BC939IKDezI4p\nVUyRzwKL3f0QQsN6RYnfP9sXgXnuPhmYDlyZViDu/i13P9zdDwd+BsxJKxYz2ws4FfgAcB5wfFqx\nEBqKX8U/m7QTw8hMoKIWmDezQ4E93H0ScC5wTcrxHA7sFcVzDKFtStulwBrCZy4VZjaWcLJzIOHv\n7qS0YgHOBp6L2sdTgNmlDsDMaoFZwB/p+r1cAVwbfY+8AExJMZZvEk56DiOcLH0xhViS27cHLias\nP1gxyq19yiVHmzWbcFLf7bMYXQS/DDgCOAy4yMxGA6cBLe5+MOFc46rSH0WnS4HXots9/p7K+Rjy\ntJGV9ns4m+5t6zVUyDH0t00eROwDyk8qJjkkLO56MrA+a/tsd78+7VjMbASwm7s/FW26C/hQiePa\nA3gCIOpxObTE75/tVWCn6PYYYHWKsQAQrQf1eeAHKYZxPDDX3dvd/f+5+4wUY4ESXljpi5lNBtYR\nrrqWTVz9MJlw8oq7PweMjq5epuVB4OPR7XXASDNL7edpZu8A3gH8nnR/rx8C7nX3N9z9FXc/L8VY\nXgXGRrfTah83EdqjZG/cocD86HYpv8eSscSfkfOBedHt1+j6eZUylqRLgGsJvZiVpNzap1x6tFnk\n/izuBzzh7q3uvhF4mJDIdB4jcF+0reSy2jqovGPI1UYeRmUdQ6629TAq4xj62yb3O/aoN3FA+UnF\nJIfuvtHde1xxdvcNZRLLTsDaxP1VwM6liwoIJ9THQueVwl1K/P7ZrgE+bmbPAj8lXOVI20eBP7j7\nphRj2A2YYGYLzOzeaAhBWmqAQxOxvC+tQKILLJcSTsAgxR6mQRhH15ViCF9Gpf777+TubfFi2YSe\ngt/naj9LaCZwUYrvH5sA1JrZnWb2YHQxIhXufhsw3swWAw9Qol6xrBjacrSFI909Tn5K9jnOFUt0\ngtoWTR/5AvDLtGIxs38D3uXu8/I8rZyVVfuUS642C6jL8VkcR/cLKasS21+LXqsd6IguBpda3NbF\nFzhy/T2V8zFkt5FHUGHHkNW2LiS0rRVxDANok/sde7RtQPlJWc45NLNzgU9nbf66u/+pgmIpauKd\nJ65vAO8zsweB3xHGi5dEnngWAL9296vM7Djge8DHUool/p1NIQy/LYk8sbyVMGflw2Z2IHA94SpQ\nGrHcCnzD3ReY2QGEcfpFT1Z7+bz82N1bzQwqq+cwWw1lkNya2UmEz/yRfe1bxBg+BTzo7svT7L2M\nbEW4kvwRwkWahYSToZIzszOA5e5+bHSB6DrCnLBykvbvK64rcAtwn7svTCGE+O94FnBBCu9fDGXR\nPuUStVnnAEcTpgzF8n0WB7q9aLLaulwxlP0x0LONfCDr8bI/hhxt6/V0/7yX/TH0ohCx95mflGVy\n6O4/I8wLy6dkjdoAYllN9yEvTRRxXkIvcd0DYGZNhAa2JHLFY2Z3A1+L7t5LmAybSixRPCOBXdx9\neSniyBeLmc0gFFzB3R82s93SiiXr8UfNrMHMaordy5Tn5/Jn4MNm9kVgIrCfmZ3i7s8WM5YCWUG4\nOhd7G2HieGqiwhkXA8e4e2uKoRwL7G5mHyWMZthkZs3ufn8KsbwCPBJdUX3RzFrNbCd3f62vJxbB\nJKL22t2fMbNdSvG31w/rzWy76Op1Ub/H+ulGwN39m2kFYKG42juAX0Un/Tub2cJoDnslKLv2KZeo\nzboEONrdXzezXJ/F7GNpAh5NbH8mGkZX4+4lu0Ae6dHWAa1mtn009K8SjqFHGwlkKuwYerStwBsV\ndgxJQ/o7IPytDyg/qZhhpQk1lE8W3xlL1OX7XNQTBOGqy4JSBmNmH44SD4BP0TVGOS0vAAdEt/el\n+1XANLyXKClL2QLCVdF4fkLJktVsZjbNzD4d3X4XsCqtk1N3P8jdP+juHyQMKfp8hSSGEL6ITgEw\ns32AlxNDpErOzOoJw5uOd/d/pRUHgLt/wt33i36v1xOqlaaRGEL4PU02s5qo8EJdSokhhPZxfwAz\nmwC8kWJimPxevZfos0yYW1/S77FEHHHVxE3ufnmJY0jGUuPuK9x9z0T7tLKCEkMos/Ypl0SbdVyi\nzcr1WXwM2NfM6qN5kwcS5iveQ9fIpBMIVUJLKkdb903CvK+To13K/hjo2UaOJPweKukYstvW9cCf\nqKxj6KtN7nfsUWI7oPykpqMj7YuU/WNmHyFU7GkCXgdWu/u+ZvZz4P2AAU6ovFjUqpi9xPJOwty6\nrYBH3f3LxYwjR1zbA7cR5j+2AJ9Is8fAzMYReodqCT2sF7r731OM56PAEe5+floxJGKZARwV3b3I\n3R9LKY4m4BeEz+xWUSyplzg3sxuBG72ylrK4CjiEUD76fHdflGIsnyUMM38+sflT7t6cUkgAmNk3\ngJfc/ecpxvBZwpwmgG+6++9SimMkYamftxJG8Vzq7g+UOIYDCMNZGwnTENYQKkXeBGwPLCWUQm9L\nIZYWwhJIbxK+ZwH+rxTtd56fy2Hu3hI9/qK7717sOAqpnNqnXHK0WR2EqpPXk/VZNLOTCUstdADX\nuPv/mNlW0b57AhsJS3m9XNKDSIjbOsLJ+s+poGPIbiMJS4pUzDHkalsJHQNlfwwDaZMHEvtA85OK\nSQ5FRERERESkeCpxWKmIiIiIiIgUmJJDERERERERUXIoIiIiIiIiSg5FREREREQEJYciIiIiIiKC\nkkMREREREREhrP8hIiIiIiJlJloz+jvA3kArMIqwDvA1qQYmVUs9hyIiIiIiZcbMaoA7gYfd/f3u\nfghwNPAZM/tIutFJtVLPoYiIiIhI+TkC2Ozuc+IN7r7KzN7v7lvM7B3AHCAD7Ahc6u73mNkMYBzw\nVuC9hJ7H9wMfAFa6+4kAZvafwMcI+cBzwBfcfWPJjk7KknoORURERETKz17Ak9kb3X1LdPOtwNfd\n/UPAVODKxG7m7h8BzgGuBb7j7vsC7zaz95rZfsB/uPsh7j4JWAd8uojHIhVCPYciIiIiIuVnC4lz\ndTP7DHAasD3QDFwKfM/MrgBGAGMTz30k+v9l4FV3fylxvx44ANjDzBZG20cCm4p0HFJBlByKiIiI\niJSfZ4Ap8R13vw64zswOBf4L+AFwq7vfZGbvBu5KPLctcXsL3dUAG4H57v6fRYlcKpaGlYqIiIiI\nlBn3/7+dOzaJIAjDMPwZiIL5tfC1YGRuYqwtWIFFiNk1YBlGymEoGglbhJcajsGeIJoYKHj4POEM\n/OzAJi+7zLRK8tL24n2t7W7mS2lekyySPG+2TpPsfXP0SHKf5LjtwWbuedvDn3p2tpc4BACAv+kk\nyaLtY9u7zL+L7ic5S3KV5LrtTebYW7e9zBx/48OM8Wlmpml6SLJMctt2leQoydOvnoStsDPGl/cF\nAACAf8aXQwAAAMQhAAAA4hAAAICIQwAAACIOAQAAiDgEAAAg4hAAAIAkb4Ej1lBuSlD3AAAAAElF\nTkSuQmCC\n", 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/m4+aYRiGMd6YUGgYRrdTJhTWanD+qRM3l5lwaBiGYRiGYRiGMYEcv2oDOwaH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\nW8xsJvAoYZ7irFRxmnJXV7ea6bMXATB3xmlMnHhAz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Basic visualization\n", "for region in 'midwest west east south'.split():\n", " MMMC.showstats(results[region],description=region,newfig=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here you can see the classic reason to do Monte Carlo samping in the first place: we're absolutely nowhere near fully sampling bracket space. You can tell this from each of the \"Unique brackets over the trajectory\" plots, none of which have leveled out.\n", "\n", "Further, you can see that the strength distribution in each of the regions is pretty different. Check out the energy distribution histograms for visual proof.\n", "\n", "### Nice tables\n", "\n", "And here's our set of tabulated results. Note that things look a little funny for the Final Four: `runbracket2` runs the final four separate from the rest of the tourney. So, only four teams are allowed to have Championship and Win percentages above zero (the final four percentages are taken from the first chunk of the tourney)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
TeamRegionRank2nd Round3rd RoundSweet 16Elite 8Final 4ChampionshipWin
Kentuckymidwest1100.065.7449.1836.1625.2955.334.5
Wisconsinwest1100.063.3844.2830.0419.4444.724.2
Virginiaeast2100.064.641.1527.6817.8651.322.4
Utahsouth5100.058.2935.8620.9612.1948.718.9
Arizonawest2100.062.3542.2328.6418.740.00.0
Villanovaeast1100.065.7344.0529.8418.610.00.0
Dukesouth1100.066.0341.6425.215.050.00.0
Gonzagasouth2100.061.6737.1223.5114.220.00.0
Kansasmidwest2100.058.633.7119.1610.310.00.0
Oklahomaeast3100.060.7434.9618.3410.010.00.0
Northern Iowaeast5100.065.2337.5819.729.970.00.0
Notre Damemidwest3100.057.3732.4718.579.650.00.0
Iowa St.south3100.057.0133.2217.329.070.00.0
Baylorwest3100.056.333.2316.778.790.00.0
North Carolinawest4100.061.1535.6317.738.70.00.0
SMUsouth6100.053.228.1614.617.620.00.0
Wichita St.midwest7100.051.5928.3115.417.540.00.0
Georgetownsouth4100.060.9928.7415.087.370.00.0
Michigan St.east7100.055.1725.7314.437.170.00.0
Iowasouth7100.051.1525.9913.766.630.00.0
Louisvilleeast4100.056.6229.314.056.580.00.0
West Virginiamidwest5100.055.7731.5413.36.470.00.0
Providenceeast6100.053.0327.312.586.190.00.0
Butlermidwest6100.053.6127.0313.436.050.00.0
Texasmidwest11100.046.3923.912.465.990.00.0
Xavierwest6100.050.7125.6812.465.950.00.0
Ohio St.west10100.051.6222.2611.195.290.00.0
Arkansaswest5100.057.6728.2211.835.140.00.0
Marylandmidwest4100.055.2525.8411.735.140.00.0
VCUwest7100.048.3821.7811.245.060.00.0
Oklahoma St.west9100.050.1921.5811.314.840.00.0
San Diego St.south8100.047.9223.0410.714.810.00.0
Oregonwest8100.049.8120.6110.424.730.00.0
Cincinnatimidwest8100.049.7419.419.934.720.00.0
Davidsonsouth10100.048.8523.4610.74.540.00.0
LSUeast9100.053.3124.2511.584.530.00.0
North Carolina St.east8100.046.6921.9310.184.350.00.0
Stephen F. Austinsouth12100.041.7121.319.084.30.00.0
UCLAsouth11100.046.821.719.514.220.00.0
St. John'ssouth9100.052.0822.839.844.170.00.0
Purduemidwest9100.050.2619.418.863.760.00.0
Buffalomidwest12100.044.2323.138.763.550.00.0
Georgiaeast10100.044.8319.418.763.530.00.0
Daytoneast11100.046.9722.598.553.520.00.0
Mississippiwest11100.049.2921.459.013.510.00.0
Indianamidwest10100.048.4122.298.573.140.00.0
Valparaisomidwest13100.044.7519.497.863.10.00.0
Georgia St.west14100.043.719.646.962.670.00.0
Harvardwest13100.038.8518.656.982.360.00.0
Woffordwest12100.042.3317.56.842.330.00.0
New Mexico St.midwest15100.041.415.696.32.260.00.0
UC Irvineeast13100.043.3819.576.642.170.00.0
Northeasternmidwest14100.042.6316.66.12.170.00.0
UABsouth14100.042.9916.916.092.020.00.0
Wyomingeast12100.034.7713.555.061.80.00.0
Albanyeast14100.039.2615.154.861.590.00.0
Eastern Washingtonsouth13100.039.0114.095.061.420.00.0
Coastal Carolinawest16100.036.6213.534.851.420.00.0
North Dakota St.south15100.038.3313.434.51.350.00.0
Belmonteast15100.035.413.714.81.280.00.0
Texas Southernwest15100.037.6513.733.731.030.00.0
Robert Morrissouth16100.033.9712.494.071.020.00.0
Hamptonmidwest16100.034.2612.03.40.860.00.0
Lafayetteeast16100.034.279.772.930.840.00.0
" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = HTML(MMMC.maketable(results))\n", "h" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given those concerns, let's just run `runbracket1` and look at the results" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lowest energy bracket\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Wes (5) Ken (1) \n", "Butler (6) \n", "Texas (11) Tex (11) \n", "Notre Dame (3) \n", "Northeastern (14) Not (3) Not (3) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) Not (3) Ken (1) \n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Uta (5) Duk (1) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) Iow (3) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Gon (2) Ken (1) \n", "Wisconsin (1) Wis (1) Wis (1) Wis (1) Ari (2) Ari (2) Ken (1) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Ark (5) Nor (4) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Bay (3) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Vil (1) Vil (1) Vil (1) Vir (2) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Nor (5) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Okl (3) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -44.697443432\n", "\n", "Most common bracket (7)\n", "Kentucky (1) \n", "Hampton (16) Ham (16) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Cin (8) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Wes (5) Cin (8) \n", "Butler (6) \n", "Texas (11) But (6) \n", "Notre Dame (3) \n", "Northeastern (14) Nor (14) But (6) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) But (6) But (6) \n", "Duke (1) \n", "Robert Morris (16) Rob (16) \n", "San Diego St. (8) \n", "St. John's (9) San (8) San (8) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Geo (4) Geo (4) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) Iow (3) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Gon (2) Gon (2) \n", "Wisconsin (1) Wis (1) Ore (8) Ore (8) Ari (2) Ari (2) Ari (2) \n", "Coastal Carolina (16) \n", "Oregon (8) Ore (8) \n", "Oklahoma St. (9) \n", "Arkansas (5) Ark (5) Nor (4) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Xav (6) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Laf (16) Nor (8) Nor (5) Mic (7) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Nor (5) \n", "Wyoming (12) \n", "Louisville (4) UC (13) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Pro (6) Mic (7) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Mic (7) \n", "Georgia (10) \n", "Virginia (2) Bel (15) \n", "Belmont (15) \n", "Total bracket energy: -38.100050778\n", "\n" ] } ], "source": [ "results = MMMC.runbracket1(ntrials=10000,T=1.5)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
TeamRegionRank2nd Round3rd RoundSweet 16Elite 8Final 4ChampionshipWin
Kentuckymidwest1100.058.6944.7732.5823.9816.4110.87
Villanovaeast1100.065.5345.7132.020.8713.778.67
Arizonawest2100.062.5744.5933.5420.7513.118.03
Wisconsinwest1100.067.6743.0227.4218.1211.357.15
Virginiaeast2100.063.7643.6730.8619.0511.086.59
Gonzagasouth2100.057.9839.9525.4615.029.094.78
Utahsouth5100.057.9234.421.0413.196.83.66
Dukesouth1100.060.135.4518.4811.416.733.49
Notre Damemidwest3100.061.1233.9319.411.175.572.8
Oklahomaeast3100.062.037.7417.6410.015.262.64
Kansasmidwest2100.066.5735.8119.029.975.452.59
Northern Iowaeast5100.062.2735.1118.6710.054.822.38
Iowa St.south3100.060.0636.9520.0411.125.242.36
Wichita St.midwest7100.056.9431.9119.068.764.182.17
North Carolinawest4100.058.3532.318.519.544.231.82
SMUsouth6100.055.3529.2616.918.613.791.61
Baylorwest3100.056.6329.5111.827.123.631.56
Georgetownsouth4100.056.7529.5815.757.233.241.42
Texasmidwest11100.058.2827.8914.86.873.31.39
Michigan St.east7100.059.6727.4314.516.412.981.29
Ohio St.west10100.050.423.812.616.463.191.27
West Virginiamidwest5100.058.6633.4113.826.622.971.17
Arkansaswest5100.057.6631.1612.715.342.381.16
Louisvilleeast4100.055.4931.4915.287.183.11.14
Iowasouth7100.055.6825.069.925.492.671.13
Butlermidwest6100.041.7224.0611.136.362.771.12
Xavierwest6100.056.4331.3614.276.712.441.12
San Diego St.south8100.052.1529.1712.836.642.881.03
Cincinnatimidwest8100.050.5820.3612.285.352.380.9
Davidsonsouth10100.044.3215.666.983.121.690.73
VCUwest7100.049.619.038.634.281.810.71
Marylandmidwest4100.050.8722.229.443.61.860.7
Oregonwest8100.058.4124.8910.744.781.740.66
Stephen F. Austinsouth12100.042.0823.611.544.511.720.63
St. John'ssouth9100.047.8518.829.513.971.830.62
Daytoneast11100.048.8121.648.964.311.790.58
Mississippiwest11100.043.5721.868.383.01.410.55
Purduemidwest9100.049.4220.379.73.311.330.53
Buffalomidwest12100.041.3421.687.932.771.190.52
Valparaisomidwest13100.049.1322.699.344.121.490.51
Providenceeast6100.051.1926.6811.184.281.40.48
LSUeast9100.048.8115.797.112.580.920.47
Georgiaeast10100.040.3315.127.582.951.30.46
Oklahoma St.west9100.041.5918.789.243.351.10.45
Woffordwest12100.042.3416.577.372.630.940.44
Indianamidwest10100.043.0618.988.463.721.20.43
UCLAsouth11100.044.6521.48.222.721.260.42
North Carolina St.east8100.051.1922.318.993.551.450.4
Harvardwest13100.041.6519.978.532.490.80.35
UC Irvineeast13100.044.5120.527.192.440.970.26
Coastal Carolinawest16100.032.3313.315.482.240.570.24
Georgia St.west14100.043.3717.276.041.920.470.21
UABsouth14100.039.9412.394.941.570.730.17
Eastern Washingtonsouth13100.043.2512.423.881.270.550.17
Lafayetteeast16100.034.4716.197.112.280.50.15
Wyomingeast12100.037.7312.883.651.120.40.15
Albanyeast14100.038.013.944.571.840.530.11
Robert Morrissouth16100.039.916.566.972.390.50.11
Belmonteast15100.036.2413.784.71.080.310.11
Texas Southernwest15100.037.4312.584.711.270.250.11
Northeasternmidwest14100.038.8814.124.280.990.290.09
Hamptonmidwest16100.041.3114.54.911.250.250.07
North Dakota St.south15100.042.0219.337.531.740.330.05
New Mexico St.midwest15100.033.4313.33.851.160.310.05
" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = HTML(MMMC.maketable(results))\n", "h" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is, indeed, high temperature! Let's try it with a bunch more runs" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lowest energy bracket\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Wes (5) Ken (1) \n", "Butler (6) \n", "Texas (11) Tex (11) \n", "Notre Dame (3) \n", "Northeastern (14) Not (3) Not (3) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) Not (3) Ken (1) \n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Uta (5) Duk (1) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) Iow (3) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Gon (2) Ken (1) \n", "Wisconsin (1) Wis (1) Wis (1) Wis (1) Ari (2) Ari (2) Ken (1) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Ark (5) Nor (4) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Bay (3) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Vil (1) Vil (1) Vil (1) Vir (2) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Nor (5) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Okl (3) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -44.697443432\n", "\n", "Most common bracket (9)\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Buf (12) \n", "Maryland (4) \n", "Valparaiso (13) Val (13) Buf (12) Ken (1) \n", "Butler (6) \n", "Texas (11) Tex (11) \n", "Notre Dame (3) \n", "Northeastern (14) Nor (14) Nor (14) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Wic (7) Wic (7) Ken (1) \n", "Duke (1) \n", "Robert Morris (16) Rob (16) \n", "San Diego St. (8) \n", "St. John's (9) St. (9) St. (9) \n", "Utah (5) \n", "Stephen F. Austin (12) Ste (12) \n", "Georgetown (4) \n", "Eastern Washington (13) Eas (13) Eas (13) St. (9) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) Iow (3) \n", "Iowa (7) \n", "Davidson (10) Dav (10) \n", "Gonzaga (2) \n", "North Dakota St. (15) Nor (15) Dav (10) Iow (3) Iow (3) Ken (1) \n", "Wisconsin (1) Wis (1) Wis (1) Ark (5) Ark (5) Vir (2) Vir (2) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Ark (5) Ark (5) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Bay (3) Bay (3) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ohi (10) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Vil (1) Vil (1) Lou (4) Vir (2) \n", "Lafayette (16) \n", "North Carolina St. (8) LSU (9) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Lou (4) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Day (11) Alb (14) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Alb (14) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -37.1483683417\n", "\n" ] } ], "source": [ "results = MMMC.runbracket1(ntrials=100000,T=1.5)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
TeamRegionRank2nd Round3rd RoundSweet 16Elite 8Final 4ChampionshipWin
Kentuckymidwest1100.067.84849.18936.44426.7918.94912.828
Arizonawest2100.064.11442.62829.24818.83812.2567.805
Wisconsinwest1100.063.36842.14628.13117.70511.0836.862
Villanovaeast1100.064.31443.81428.61817.42510.646.365
Virginiaeast2100.062.18939.52226.28517.03810.3216.183
Gonzagasouth2100.061.67238.30524.1714.4178.1494.538
Dukesouth1100.064.40740.26324.7514.9278.0614.37
Oklahomaeast3100.062.25738.00520.22711.5645.9063.04
Utahsouth5100.056.18834.29519.46910.8465.5762.832
Notre Damemidwest3100.060.69233.50418.749.6655.0612.473
Kansasmidwest2100.059.73233.55318.6829.0984.8342.329
Northern Iowaeast5100.058.92834.0617.5099.3024.6042.239
North Carolinawest4100.061.14836.85219.0869.5354.6822.223
Iowa St.south3100.059.58133.40518.1319.5624.6472.206
Baylorwest3100.058.59934.54916.9699.1774.632.202
Wichita St.midwest7100.056.4531.00517.0658.4544.3782.104
Louisvilleeast4100.056.52530.18815.3316.8893.1581.413
Texasmidwest11100.052.78328.18414.6446.6043.1151.372
SMUsouth6100.054.3729.06814.4896.7893.0971.361
Georgetownsouth4100.058.91228.23814.086.9153.0151.311
Michigan St.east7100.055.47725.46712.9986.3722.9511.292
Ohio St.west10100.050.123.61712.1585.8132.8251.18
West Virginiamidwest5100.052.50728.24112.3655.8292.8091.09
Butlermidwest6100.047.21724.42712.4495.5512.471.088
Iowasouth7100.051.02324.91612.8426.022.6411.084
Arkansaswest5100.058.7128.68313.0465.7122.6191.074
San Diego St.south8100.052.82125.26212.2815.7212.5851.026
Xavierwest6100.052.83326.25211.2545.4242.3180.966
VCUwest7100.049.922.65511.0345.3222.2720.915
Davidsonsouth10100.048.97723.74611.6545.3932.2590.887
Marylandmidwest4100.054.29327.84110.9924.692.1240.852
Cincinnatimidwest8100.049.48121.06410.8784.9772.1370.809
Providenceeast6100.050.5223.83910.3794.861.9810.778
North Carolina St.east8100.052.3222.88711.354.8621.8180.717
Oregonwest8100.050.89222.5810.9564.3221.8440.7
St. John'ssouth9100.047.17922.96210.6524.6911.9040.687
Stephen F. Austinsouth12100.043.81222.6669.8374.5511.8590.674
Oklahoma St.west9100.049.10821.69710.9654.4841.7360.666
Georgiaeast10100.044.52321.64710.2374.5231.7230.65
Daytoneast11100.049.4822.9229.9374.0781.6090.594
LSUeast9100.047.6820.729.643.9611.5950.584
UCLAsouth11100.045.6322.2649.2853.9211.5480.559
Mississippiwest11100.047.16720.5228.9753.6841.450.53
Buffalomidwest12100.047.49323.2178.8163.6471.5190.525
Purduemidwest9100.050.51919.5489.3893.9261.5130.503
Indianamidwest10100.043.5519.4878.323.4271.30.446
Valparaisomidwest13100.045.70720.7018.1063.2251.2360.43
Georgia St.west14100.041.40118.6776.872.7880.940.321
Harvardwest13100.038.85217.9127.0322.360.8720.269
UC Irvineeast13100.043.47518.6357.2122.3730.6990.232
Woffordwest12100.041.2916.5535.9622.1690.6860.214
Wyomingeast12100.041.07217.1176.212.1540.6970.194
New Mexico St.midwest15100.040.26815.9555.4281.9080.6040.167
UABsouth14100.040.41915.2634.7571.6490.5450.153
Northeasternmidwest14100.039.30813.8854.6721.410.4790.145
Belmonteast15100.037.81113.3644.8841.7320.5340.144
Albanyeast14100.037.74315.2345.0531.6020.4650.14
Eastern Washingtonsouth13100.041.08814.8015.2691.8610.5440.139
Coastal Carolinawest16100.036.63213.5774.8221.7070.4920.126
North Dakota St.south15100.038.32813.0334.6721.6020.4780.121
Lafayetteeast16100.035.68612.5794.131.2650.310.078
Robert Morrissouth16100.035.59311.5133.6621.1350.330.073
Texas Southernwest15100.035.88611.13.4920.960.2840.066
Hamptonmidwest16100.032.15210.1993.010.7990.2340.056
" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = HTML(MMMC.maketable(results))\n", "h" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YAG8YhmEYhmEYI7RTQAyMW0HxoUXPZH42OosJ8Eavc/KB27LJjNXZZMbqdXnQ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bgB1iejY/YCro6NRM83gP9T1TfigqS3i74LsytHAber6tuAt+MUxmm4YOlbVXUdVZ3u9/2zqo5S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\n9T+Ym8IyuYFMtWzq6xwO5tyqFUgKoa+HEmXy918Is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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MMMC.showstats(results['all'],description='full run',newfig=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad! (Also, note the shape of the energy distribution, and the fact taht the \"Unique brackets\" group is still basically linear!)\n", "\n", "## Who wins?\n", "\n", "But let's be honest for a minute. We all know Kansas is going to win. What do the brackets where that happened look like?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "goodbrackets = [i for i in results['all'].brackets if i.bracket[-1][0] == 'Kansas']" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from MarchMadnessMonteCarlo.Brackets import Stats\n", "lb, mcb, mcb_count, unique_brackets, lowest_sightings = Stats.gather_uniquestats(goodbrackets)\n", "sr = MMMC.SimulationResults(goodbrackets,unique_brackets,lb,lowest_sightings,mcb,mcb_count)\n", "trueresults = {'all':sr}" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
TeamRegionRank2nd Round3rd RoundSweet 16Elite 8Final 4ChampionshipWin
Kansasmidwest2100.0100.0100.0100.0100.0100.0100.0
Virginiaeast2100.061.74323744139.759553456425.762129669417.13181623019.016745384290.0
Villanovaeast1100.068.0549592147.831687419530.828681837717.38943752688.716187204810.0
Wisconsinwest1100.062.000858737739.501932159724.903392013714.21210820098.24388149420.0
Oklahomaeast3100.063.804207814542.722198368422.413052812413.09574924867.77157578360.0
Arizonawest2100.062.902533276137.569772434524.431086303114.64147702887.728638900820.0
Northern Iowaeast5100.059.553456419137.140403606718.376985830810.51953628175.452984113350.0
Baylorwest3100.055.345641906430.914555603315.54315156729.059682267074.894804637180.0
North Carolinawest4100.058.866466294535.422928295419.3215972529.617861743244.85186775440.0
Michigan St.east7100.057.492486045526.492056676712.79519106916.268784886223.477887505370.0
Louisvilleeast4100.058.308286818429.240017174814.12623443546.826964362393.306139974240.0
Xavierwest6100.050.150279089725.161013310411.97939029637.299270072993.177329325890.0
Oregonwest8100.052.211249463322.455989695112.27994847575.281236582222.91970802920.0
Ohio St.west10100.050.49377415226.835551738913.65392872485.538857878922.790897380850.0
Arkansaswest5100.060.326320309128.982395878111.89351653075.882352941182.705023615290.0
VCUwest7100.049.50622584823.572348647512.10820094465.839416058392.533276084160.0
Providenceeast6100.051.180764276521.42550450849.446114212114.465435809362.447402318590.0
North Carolina St.east8100.055.388578789224.688707599813.0098754834.85186775442.146844139120.0
Mississippiwest11100.049.849720910324.688707599810.94890510954.765993988841.93215972520.0
Daytoneast11100.048.819235723520.00858737669.145556032634.036066981541.93215972520.0
Oklahoma St.west9100.047.788750536722.069557750111.55002146844.207814512671.717475311290.0
Georgia St.west14100.044.654358093619.23572348657.642765135253.821382567631.717475311290.0
Georgiaeast10100.042.507513954520.60970373559.403177329333.606698153711.631601545730.0
Harvardwest13100.041.133533705520.05152425938.415629025333.349076857021.588664662950.0
Woffordwest12100.039.673679690915.54315156725.882352941182.91970802921.373980249030.0
LSUeast9100.044.611421210818.37698583088.759124087593.692571919281.331043366250.0
Belmonteast15100.038.25676255913.13868613146.655216831262.103907256331.073422069560.0
Coastal Carolinawest16100.037.999141262315.9725203955.753542292832.361528553030.9016745384290.0
Wyomingeast12100.040.446543580917.17475311295.58179476171.717475311290.6869901245170.0
UC Irvineeast13100.041.691713181616.44482610565.667668527261.631601545730.5152425933880.0
Texas Southernwest15100.037.097466723912.0223271793.692571919281.20223271790.5152425933880.0
Lafayetteeast16100.031.945040799.102619149853.64963503651.159295835120.4723057106050.0
Albanyeast14100.036.195792185515.84370974674.37956204381.502790897380.4293688278230.0
Dukesouth1100.061.829111206540.145985401522.112494632913.56805495920.00.0
Gonzagasouth2100.055.517389437535.036496350421.468441391210.04723057110.00.0
Utahsouth5100.054.873336195830.18462859615.88664662959.70373550880.00.0
Iowa St.south3100.059.16702447432.54615714917.99055388589.360240446540.00.0
Georgetownsouth4100.058.78059252930.18462859616.10133104348.544439673680.00.0
St. John'ssouth9100.049.033920137423.701159295813.78273937316.869901245170.00.0
Stephen F. Austinsouth12100.045.126663804224.903392013710.2619149856.397595534560.00.0
SMUsouth6100.054.615714899127.651352511813.86861313876.354658651780.00.0
Davidsonsouth10100.048.604551309624.302275654812.0223271795.58179476170.00.0
San Diego St.south8100.050.966079862622.670674109112.27994847575.495920996140.00.0
Iowasouth7100.051.395448690424.474023185912.53756977245.452984113350.00.0
UCLAsouth11100.045.384285100923.100042936911.16358952345.066552168310.00.0
Eastern Washingtonsouth13100.041.21940747114.72735079435.882352941182.490339201370.00.0
North Dakota St.south15100.044.482610562516.18720480896.182911120652.060970373550.00.0
UABsouth14100.040.83297552616.70244740234.765993988841.846285959640.00.0
Robert Morrissouth16100.038.170888793513.48218119363.692571919281.159295835120.00.0
Kentuckymidwest1100.061.74323744139.630742808121.81193645340.00.00.0
Marylandmidwest4100.059.424645770731.215113782716.31601545730.00.00.0
Purduemidwest9100.055.732073851427.479604980713.39630742810.00.00.0
Buffalomidwest12100.047.745813653924.431086303112.27994847570.00.00.0
West Virginiamidwest5100.052.254186346123.744096178611.80764276510.00.00.0
Valparaisomidwest13100.040.575354229320.60970373559.96135680550.00.00.0
Cincinnatimidwest8100.044.267926148620.52382996999.96135680550.00.00.0
Hamptonmidwest16100.038.25676255912.36582224134.465435809360.00.00.0
Texasmidwest11100.051.567196221630.91455560330.00.00.00.0
Notre Damemidwest3100.058.480034349530.22756547870.00.00.00.0
Butlermidwest6100.048.432803778423.01416917130.00.00.00.0
Northeasternmidwest14100.041.519965650515.84370974670.00.00.00.0
Wichita St.midwest7100.055.21683125810.00.00.00.00.0
Indianamidwest10100.044.78316874190.00.00.00.00.0
New Mexico St.midwest15100.00.00.00.00.00.00.0
" ], "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = HTML(MMMC.maketable(trueresults))\n", "h" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Kentucky (1) \n", "Hampton (16) Ham (16) \n", "Cincinnati (8) \n", "Purdue (9) Pur (9) Pur (9) \n", "West Virginia (5) \n", "Buffalo (12) Buf (12) \n", "Maryland (4) \n", "Valparaiso (13) Val (13) Buf (12) Pur (9) \n", "Butler (6) \n", "Texas (11) Tex (11) \n", "Notre Dame (3) \n", "Northeastern (14) Not (3) Not (3) \n", "Wichita St. (7) \n", "Indiana (10) Ind (10) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) Kan (2) Kan (2) \n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) St. (9) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Ste (12) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Ste (12) Ste (12) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) SMU (6) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Ste (12) Kan (2) \n", "Wisconsin (1) Wis (1) Okl (9) Wof (12) Wof (12) Okl (3) Kan (2) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Wof (12) Wof (12) \n", "Wofford (12) \n", "North Carolina (4) Har (13) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Bay (3) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Laf (16) Nor (8) Nor (8) Okl (3) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Wyo (12) Lou (4) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Okl (3) Okl (3) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Mic (7) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -35.9796902956" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sr.most_common_bracket" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sr.most_common_bracket_count" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huh. Well, that's not exactly my pick for best bracket, but there you have it.\n", "\n", "Excersizes for the reader:\n", "\n", " * make a better energy function, using maybe a weighted average of different rankings. I slurped in KenPom and Jeff Sagarin, but you could add your own. \n", " * come up with a better \"hometown wins\" version. E.g. explicitly check for KU, and tweak the rankings." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from MarchMadnessMonteCarlo import RankingsAndStrength as RAS\n", "strength = RAS.kenpom['Pyth']\n", "jsstrength = RAS.sagarin['Rating']\n", "\n", "def weighted_KU_energy_game(winner, loser):\n", " if winner == 'Kansas':\n", " win_pct = 0.99\n", " elif loser == 'Kansas':\n", " win_pct = 0.01\n", " else:\n", " A,B = strength[winner],strength[loser]\n", " # see http://207.56.97.150/articles/playoff2002.htm\n", " kenpom = (A-A*B)/(A+B-2*A*B)\n", " A,B = jsstrength[winner]/100, jsstrength[loser]/100\n", " A,B = min(A,0.9999),min(B,0.9999)\n", " sagarin = (A-A*B)/(A+B-2*A*B)\n", " win_pct = 0.70*kenpom + 0.30*sagarin\n", " return -win_pct\n" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [], "source": [ "MMMC.set_energy_function(weighted_KU_energy_game)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lowest energy bracket\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Cin (8) Ken (1) \n", "West Virginia (5) \n", "Buffalo (12) Wes (5) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Wes (5) Ken (1) \n", "Butler (6) \n", "Texas (11) Tex (11) \n", "Notre Dame (3) \n", "Northeastern (14) Not (3) Not (3) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) Kan (2) Kan (2) \n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) Duk (1) \n", "Utah (5) \n", "Stephen F. Austin (12) Uta (5) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Uta (5) Duk (1) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) Iow (3) Iow (3) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Duk (1) Kan (2) \n", "Wisconsin (1) Wis (1) Wis (1) Wis (1) Ari (2) Ari (2) Kan (2) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Ark (5) Nor (4) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Xav (6) Bay (3) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) Ohi (10) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Vil (1) Vil (1) Vil (1) Vir (2) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Nor (5) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Okl (3) Vir (2) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Vir (2) \n", "Georgia (10) \n", "Virginia (2) Vir (2) \n", "Belmont (15) \n", "Total bracket energy: -45.7476455682\n", "\n", "Most common bracket (13)\n", "Kentucky (1) \n", "Hampton (16) Ken (1) \n", "Cincinnati (8) \n", "Purdue (9) Pur (9) Pur (9) \n", "West Virginia (5) \n", "Buffalo (12) Buf (12) \n", "Maryland (4) \n", "Valparaiso (13) Mar (4) Buf (12) Buf (12) \n", "Butler (6) \n", "Texas (11) But (6) \n", "Notre Dame (3) \n", "Northeastern (14) Not (3) Not (3) \n", "Wichita St. (7) \n", "Indiana (10) Wic (7) \n", "Kansas (2) \n", "New Mexico St. (15) Kan (2) Kan (2) Kan (2) Kan (2) \n", "Duke (1) \n", "Robert Morris (16) Duk (1) \n", "San Diego St. (8) \n", "St. John's (9) San (8) San (8) \n", "Utah (5) \n", "Stephen F. Austin (12) Ste (12) \n", "Georgetown (4) \n", "Eastern Washington (13) Geo (4) Ste (12) San (8) \n", "SMU (6) \n", "UCLA (11) SMU (6) \n", "Iowa St. (3) \n", "UAB (14) UAB (14) UAB (14) \n", "Iowa (7) \n", "Davidson (10) Iow (7) \n", "Gonzaga (2) \n", "North Dakota St. (15) Gon (2) Gon (2) Gon (2) Gon (2) Kan (2) \n", "Wisconsin (1) Coa (16) Okl (9) Nor (4) Ari (2) Ari (2) Kan (2) \n", "Coastal Carolina (16) \n", "Oregon (8) Okl (9) \n", "Oklahoma St. (9) \n", "Arkansas (5) Wof (12) Nor (4) \n", "Wofford (12) \n", "North Carolina (4) Nor (4) \n", "Harvard (13) \n", "Xavier (6) Mis (11) Mis (11) Ari (2) \n", "Mississippi (11) \n", "Baylor (3) Bay (3) \n", "Georgia St. (14) \n", "VCU (7) VCU (7) Ari (2) \n", "Ohio St. (10) \n", "Arizona (2) Ari (2) \n", "Texas Southern (15) \n", "Villanova (1) Vil (1) Nor (8) Nor (8) Nor (8) \n", "Lafayette (16) \n", "North Carolina St. (8) Nor (8) \n", "LSU (9) \n", "Northern Iowa (5) Nor (5) Lou (4) \n", "Wyoming (12) \n", "Louisville (4) Lou (4) \n", "UC Irvine (13) \n", "Providence (6) Pro (6) Okl (3) Mic (7) \n", "Dayton (11) \n", "Oklahoma (3) Okl (3) \n", "Albany (14) \n", "Michigan St. (7) Mic (7) Mic (7) \n", "Georgia (10) \n", "Virginia (2) Bel (15) \n", "Belmont (15) \n", "Total bracket energy: -38.9077921757\n", "\n" ] } ], "source": [ "results = MMMC.runbracket1(ntrials=100000,T=1.5)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yeSKbTJ5oE/pRSqxVPnzOgoanaZpjwzAMwzCMziMSEpuKaRS7mFYLiMfM2Ny0\nTYZhGIZhGIbRBlolIAZMo2hUxTEzNjchsUOItcqnHbhNw9O0fjYMwzAMw+gMWi0kgmkUuxrT7hnN\n6Hu7nwzD6ETsnWcYxmglT0hsln8imEYR6M5Inu32JeuWNuuWchqGYRjZtPudZxiG0S7yhMTzj5ra\n1LxHvUbRInlWT9xmh89ZwBF7bNbmEqVjfWsYhmEYhmF0I+0UEAMtFRRFZCXgPGCKz/swVb1JRHYF\nDgWWAY8De6vq8laU6bFFS1I/G0Y30IztMQzDMDoNC6ZmGMZoohOERGi96enHgSWqujWwLzDbH58D\nvE9VtwNeAD7c4nIZVdCMICrNIC4n0HPmSs3YHiOk22ttZRhG92PB1AzDGA10ipAIrRcUL8ZpDgGe\nBtaMPk/yn18JLGpVgdbrXy31s9EbhEmF+baUw/yADMMwDMMwWs8+p1zbUUIitNj01JuTBpPSg3GC\nI8ABwN0i8h/gDlVtWfzX0W7OUkvdu8VHsdc5ZsbmzJx9AwCnHbgNixYtrjtNM8UevYzmcdBoDt1i\nGt/se19E9gFmRIc2B14P/BC3YP8EMENVl4nIXsBBwArge6p6voiMAy4ANgAGgE+p6kMi8mbgu8Ag\ncI+qfq4pFTAMo+l0moAY6BscHGxKwiKyL7Bf4vCXVfW3IvJ54APANNwAdzfwIT/wXQpcpKq/LMii\nYQUPZnudbEaZRr3lPnzOAu595FkANt1wUul0dj/6Sl5cOgDAKhPGctlJO9eUfyvp1j7Oo9b+y6MD\n+rZpIZ5byGAjhPZWEi/+bDJ5ImfM2r4hCw/tpL9/9a6vA3RvPeJ7atMNJ3XsgmLy3s8SFvv7V2/I\n2CQi2wC7A6sCv1TVK0TkROCfwFzgLmAL3KL6HcA2wAeBzVX1ABHZEdhXVT8mItfhYj3cJSIXA3NV\n9Tc52Xfd2JRGtz4TMVaHzqBT6lCvkNio8SmNpmkUVfU8XOCaCrwA+QGcYDggImsBfar6kD/ld8Db\ngSJBsXTn5q0Wxi+Jg2df19LV9Hpv0IeecOWuNQ199NmKz2XSOXHunby0bKDiWCc8ZEWESUpaWTtl\noKiW5S83vh/WffVqQ8/Duq9ereXt0t+/ekvzMwzDaDFfBvYCbgH298fmA4cBirOqWgwgIjcBWwFT\ngQv9ub8DgpZxI1W9K0rjPUCeoGgYRgeRJyBCezWJgZb6KIrIFNzAuKuqLvOHnwYmicir/fe3A/c3\nKs9G+FwzOSm7AAAgAElEQVR1YnCPmbNvYOmyAZYuGxgyP6yW8ePGpn7OIrRlrITecO2JFb+3s53a\nnX+r6ZagQt2GiKwiIg+IyCdFZH0RuV5EFojIpSIyvt3lawbxvWSmp0Yj6JbxqZX3vohsATyqqv8C\nVouiuy8C1gHWpjJGw1PR8acBVHUFzqJqbeDZlHMNw+gCirSInSAkQuv3UdwXF8DmVyICbrB7H/B5\nYL6ILAUeBH7U4nJl0ql78S1bPpD6uRrOmrXt0I161qxtq7p2wvixrNe/2pBvXLvbqd35t4tG19N8\nFAH4En5SBnwVODMyD9sHOLttJWsio+WZMVpHt9xTLSznfjhfwyRZZmPVHC+18N8rVhu9UA+rQ2fQ\njjpMO3Re5m/zT5/ewpIU0+pgNscAx6T89Av/13CKgtUUTYw7deI8ftxYlnoT0DLawDRiTeTM2TcU\nCovdHvinm8veKtbrHzY9bWUU4E4JeiEimwKbMmz6vi3wGf85mIf1pKBoGI2mU57rDmJb3MI4wAsi\nMkFVlwKTgYX+b+3o/MnArdHxe7zJaR8uAM6aiXMXFhWgG90sknSru0iM1aEzaEcdijSJtZSnmcJu\nq7fHaAt5ey8VbY/RjO0zGmEi2a5tPbLa8pgZmzNh/FgmjB/bFkEsK//Q1rEJ8szZN4wqE9VqaIcJ\nYtw30w6dd3NLMs3mNOAQhlfs08zDDMMooFn7vHYrIrIu8IKqvuwPXQN8xH/eFfg1cBuwhYisISKv\nwPknLgCuBnbz504DrvXp3CsiW/nju/g0DMPoQPK2vugkU9MkrTY97ToarUVrxNYSJ869syHazUZq\nj06ce+eQhrNdpqfJ/OO2njB+WOu6dNnAkM9qt2sXm7FiX+1WKdVe06mIyCeABar6qDeNT5p3lY4q\nZuY4nUEv1AG6sx7jVqq0dOnGOjSYtYF/Rd+PAy4Skf2Bh4ELfYC/o4CrcK45x6vqYh8NfkcRuRF4\nCdjbp3EwcI6IjAFubeXWYoZhlKdTt74ow6gXFB9c+Hzq55hOmgTHwk87COaqSTPVVpnoViOYxOVY\ntnxgSFhcuqw2n85OI74Xdj/6Sr5zSHV+po3Mvx6hO16MOWPW9ls2rIDVsxMwRUQ+DKwHLAUWi8jK\nqvoSJU27oPvNu8ykqHPo1nocscdmQ891o/Z5bSf1Crqq+gdcxPfw/UngvSnnXQFckTi2AucfnTz3\n77jtMwzD6FC6WUgEExRL0UitSTwp7qaX54lz7+TBhcMRT5M+jfUG1ynTxnmCSZrmN9aYDg46AXGT\nyRMrrulmYkH4xaUDDdWQtlpT2Al9oaofC59F5DjcKv+WOLOwixk2DzMMowSd8FwbhmG0g27Y+qIM\no8JHMY+iLSIasb1GkjQ/v7J+i2nauixNaDVp5WkB07bFSFLtVhtp6dfbxsl2DX6LMY8tWpLrs9pN\nNMJcOK29Z86+oVR/jIItFQZx5mGfFJEFwCsZ3svMMAzDMAxjBN2y9UUZRoVGMU870ohtJuqlGhO+\nNLPJsoJZ3A4nzr2zdH2Tgmhf30jT01ZEyzxmxuZDpq9lBJPYbzHQysA/zSb044MLn2flKoMIZd1z\naW1WVIZeRFW/En0dYR7WSvLGr17yER2ttLMP9z3VTWbOO7I5k5ZG+1BnuT4YhmF0Ct1uapqk5zWK\n9WqrWqE1qUazlyRNaMu6No76WaQhzGNwcGRZ6vFLLNvGQYhZumygau1rXx9N7cM8jXAjotzmMTg4\nbHraSPr6iiev1dSt2e3Qi+SNX82wdjBaSzv7cN9Tr2Vw0I0fQWBsJI2Oejpz9g1D43+8tZNhGEYn\nkBfVFLpTSIRRICgmSU5Wp6w7MfVzp5EVxGb8uLFVT8DTNIl5mra0domFsCwtVC2CQSOFibhOU9ad\nOKSBa/SErJ2T+TICelqdywjnaQsCyXTL1s2EGsMwDMMwepFeMjVN0vOCYjwhBqqerKZNcDtJMxK2\neqjGnywp+BVpjtJ8IItMOGsVIvKuqVa7mzw/9r2rdS/FdvZ9Mu9YQF9lQrrpaV4/pPlqVuPvWiZi\nsFEfeff8KPAR7Xna2YfnHTmVvj43/jfD9DSu22kH1h+Y86xZ2w7tlWump4ZhdAq9qEWMGRU+irH/\nVZIis8/k7/VsCZDli1LGvy+O6vnYoiU1bfGQ3Ig+RDENpkdZk4WkiWpfnxMMZs6+gctP3nmobI8t\nWsJ6/atVlLVR1OrHk+V7F++lWNZ/Jqvv43skKTCV8ausNuJrMuJstVTTlnnnjB83dqhNi/xkG70f\n6Wgir72sLbufdvZhs3wTA42umwmIhmF0Er0uJMIo0CjGpK3eVhvMJk2LUkbLlKfZKeujGMqcFBLL\n+t/F5TxmxuYVk/s8M8N4S4lwbthuYvejrxxK76xZ2w6VodaV8gnjx464ph6zxVDnpL9is0i2Y5Ff\nZS11C2nFUV2zfBST/VCUX6xtTvZ7kmpX+POizXaSlt4wDMMwDCOLPH/Ebjc1TTIqNIqBNI1GkVYk\nqe2LtXnBP7DeTcfLCqvBmT+NMkJispxx3fIIWrEyWsy4jdO2AEkra1I4buRegFl+nUFzW01eWVqx\ns2ZtOxQYIkk9QX6Seaf1QZk+zFqIaETZqokim9X/cT9NO3TezfNPn75l3QXrIfIiPTYyCmQtGt80\nc+ZGUkv9kpE2y5RxNGi70+rY7HqH/rv85J1LnZ83RsDwmNVozWJR9Fc/RtnYZBjGqNAixowajWKW\nJiWe6KZNepMamaLzswjanwkp2xiU2YMwT1Crdt/CQBkhEbKD1UwYP5bLTtp56Jx9T722oo1jLVGe\nJqtIk1urdjJLEFq6bGBoP8VqydKKpQX8idstrd9DemXrFmvw4nMnjB/LphtOSr0+GSmw6P6txu/Q\ngtk0n7xIj42MAllL/5T1La6VWuqXjLRZpoyj4d7M8rVvZr3j/guWJ9WWMXm8GVFPi6K/RgtZ72pY\npoZhdCWjTUiEFmsUReQ1uA2rJwDjgVmqeruIvBn4Lm6D63tU9XOtKlOahqWaVew836v4eCw0JDWP\nZTSKecJU2oQ/WaZ6fMSKNE9pmrtY81oUOTPWxOX5aFZDlnAbaPSemUVtlLeoUEYbHPJItmlZYT/O\nq5q9KNPKUYuAnafJjO/NM2Ztbyv2hmEYhmF0DHkCYq8HlGu1RnEv4EJVnQocDZzgj58BHKiq7wbW\nEJH3NzrjLM1NUkhLrmKXWXXNMrMss1qbFJSy9jbM0xomNT9ZeSfLGfzbisgSqpYuG+DwOQtGTPz7\n+mrb2D5L6wblfdhmzr6BmbNvKBTcBgdp2Kp0luYw3HN9fbWbeSZX06sl6UdY5DOZtV1M2j312KIl\nDdufMs9/cTST5wfayCiQtWjt42uaEbmzlvolI22WKeNoiB6bVsdm1zvuv2B5Um0Zk8ebEfW0KPpr\nyB+4pWGZGobRNRRpEXv1vRFoqUZRVb8Zfd0A+KeIjAM2UtW7/PH5wHuA3zQq3zxNSJGPYqyxSU72\nq5n8p2n0Dp+zYIRGKEt4K+tPmOSxRUuGTA5rvZnjNkpy36PPsvG6EyvKNjiY3zbxb8mIqWkkI35m\n1SU2z40D1oQ2XbZ8oEIQD8JS2ainoSxxuZMk6/DYoiVDgX/qjVYaiIXRZKCeNOI840WFtOuOmbF5\npr9lTNzWZZ6DMpF9jXTy7plGTphrNcVuJrXUL00QrPaaXiTL9L2ZVNt/WeVpdjmLor8eM2Nz+vtX\nN2sHwxhljEZT0yQt91EUkbVF5A6cRvFLQD/wbHTKU8A6jcov1oTse+q17Hvqtbk+ivEqaJJlywdK\n+yjmrdYGrVdemZPkTcZDUJ00gvaojB9K1su40WaaadqsvDLGwk3eeXE5kwJhUkgsS5afZbwnY70B\nYvK0pWkakXjyFcxR733k2RF+PWm+WGUEwHBO3M5593Oj7w/DMAzDMIx2MXP2DSYkepqmURSRfYH9\nEoePU9WrgS1E5P9w/op7J84pLbz2969eeM64lSq3gAA3Af76j+7mtAO3qdCEPfD48/T3r87G6ziT\nu0eerNTgDQ669DbdcBJA4SbCsaYqTXv4yJPPs8qEsby4dOT+fqF8geU5k/HkNXGdY8atNLaizcYk\ntolI5hnIEy5et8Ek7nv02YpjY/pclLvD5ywAXDuFz2lleSgSBB9aOLLuK4+vbKO0ugDIBpO49xFX\nlmS7ptVhTN9wH6XdS7sffeVQGl//0d0V7Rr3R3J/xrj8cRtvvM7EoXzi9gj3RVb7Z2k8D5+zoCLv\n0CbxvRanmbwvxvSNzDN5T8TtHJfj8pN3Zvph81jhg0BklT2w8OklFZ/LPLvdyuFzFrD85YFSWpAy\nkShnzr6BZcsHmLLuSCE9aH/TtpRJplsrsc92Mt0Q/CO2OpgwvraowjHJKJch4nSWNUGaz+7806cD\nlSvCWWaWeX7pRW1Ztq1jy4myvu31plWUbiOi5ublHdo+9EVRGoGsNgmLho3e/zGUczRN/gzDSMcE\nxEr6BmtRs9SIiGyLC1bzrP++CKc9fEBVN/THPgn8r6oeXpDc4KJFi4FyL/KkkBYmDMkbYsL4yglP\n0uSyrD9H2ou8GtPRpB9Gme0pknvlgTPBHBxMn7wl0+zrcxO+avLddMNh4SytLIG4THHdstolvj5p\nUpo2YU6eF/YAfGzRklxt4iaTJ3LGrO0J91JaeeP0yvRhWj9kHQ/9AyP7vJr7epUJY/nOISPbNNkP\naQNg8pwgfBT5AsUmqkXPRV6Z4nr296/exF0uW8O0Q+cNQm1tkjwWBzBKppk0Ec5KoxZhrb9/dRYt\nWjzi2Yv7+8GFzxdqqGvJv2iszBtbypC8Pq5j2jOY15Zl2zpZxvjdEl+Xll7oi2rTKipnXr3LUs1Y\nkzXByns/Z/2e5U9YC2XL2QtjE9G8qZtJPhPdiNWhM0jWoVuFxGaOT63eR3EX4C3At0TkjcCjqvqy\niNwrIlup6k3+nDllE4xfIsloooE0v6twXjz5gZHaobS0qilTbL43YfzY0iaQSbPWIiEx9luLTTVD\nXkHrGMqXRtKXroxw+siTz6cK1I8tWlKXViNra4bx49ID3qRFOY39H2sJBBMIbVs2+E1a2bMC9cSa\nmLjP0/wyAyGdLDPXeiLcxuapwUQ4SyjPu4+Lou7G92B8X1bjL2oYhtEtiMhewOHAy8CXgT8Dc3FW\nVE8AM1R1mT/vIGAF8D1VPd/HcrgAF9thAPiUqj7UzojxhtFL5AmI0NlCYrNptY/iCcCOInI98H1g\npj9+MHCyiPwe+Ieq5vdYDcSBauJAJ3mrkkk/xfC9bATOQBy1csq6w5HbVpmQbiJayyp87PdXtK/i\nY4uW5EbRXLZ8oHB7icCGa09MXYletnwgM+prXNasesZ1qDb6YV8fFZqVrHokhbe4X4NPXtDEZrVH\nX9/I+2RwcHjRIs2vMD5eJrBLEPKT7Zm3qNHOKKJpEVJPnHsnDy58fmgBIc2/s1fYdMNJpZ7hMpEo\nw72fFl02RGsEctOoh/jZO+/IqRXpxtEi42dgwvixdeWfFuUyfC6KWhoz//TpI17uadfnjS9FbVm2\nrePxJIwHRRE+8wK7lEmrqJyNiJqbV9647fNMT9P8sLPaJC86aa3E5WzWZFBE1sQJh1sBOwPTga8A\nZ6rqNsA/gH1EZDXgWGAHYDvgEBGZBOwJPKOqWwMnAif7pJseMd4wep0iLeJoFhKhxaanDaa06Wkg\nzVQuzYwnNtGMrwm/FZka5ZlCBXMycH5uK1KaP+RTZDKYlnbSdwhG+uelaQADSQ1rHn198ItvTOcj\nX7wyV6gMJq1pJnRZbZU1ecnr66QpFeRrYkMe/f2rc/Ds63LNAPMoMlGupsxlzH7TzGA33XASR+yx\nWW45y5j5pj0Paf2Q1NDHA2nSHC1Z1qQJY6BXTE/pAfOuXjQp6lZ6oR49UoeaxyYR+Siwjap+Pjr2\nICCqulxE3gkcBnwH2EdVZ/hzzgauBHbDbS12rYiMAR4BpgD3qerG/tyPAZur6mE5Ren6sQl65n6y\nOnQA3WpqmqSXTE/bQqxpS068k2aCyUlx8poyES6TaZ5/1NQhs8UyZpBxZM8wgc8T7pLlKRPdMosp\nia0u8hgcdAFfiqJejh83tuKcoPHLI2n2mDQhzTKJjK8vIpjZhuBFScpqu/LyigWqtDJnbRuRpsGM\n/TOLzGDThNO0/S5jf8+0rTZqiWiaZ2YaCAJiu7SehmEYLWRDYFURmQdMwmkTV1PV5f73EK9hbf85\n8FR0/GkAVV0hIoP+WNMixhtGL1O0DVg3CYnNpmsFxRBZEKjw5UoKelmO8GF/waQgGPuDpU3q4/yy\nzAaTEQDjSX9s9rrKhLGsGCwn1FSzj2KRgJOXXzyxL+vbl7fPIozcvzDeyD0OKJQUhoPAndaHaXWs\nxQ8xbC0Rm641QngJ91dc77T+q2ZrjcHB4f5J1jUOKJT02w0k76HBwUof2rTyxX0VC3/JBYXkc5M0\nHYu1o6FNellIDBr9KetOLBWtM1gvhGvCMaDi+UhGHo3bNanVDeckFw2yNNzJCJhp0Vbz0krTgIfx\nLpiSx0Gs0sqQzDepmY5J0/qH/AYHh7Xs8TmhjUJZQ5vWE/Uyry7Jfnhw4fMjAobF/RtI3i9p7R7G\nxynrTiwVDTTcX/E5zY56GvKUDSblRgIuel5COcPCVRnT07T6ZpU3eW5aez/w+PM3zz99eq17KY4B\nXoWLwbARcH3i9yxtQDXHS7kS9UrE6V6oh9WhPUw7dF7mb0URmkcjXWt6GiILJoWLpBldmch8WSTT\nDpOKMi/X+Jy0yIHBbHPRosUjVN9pAksZM8jkJKhakhqmMulsuuEkHnoi2w8wr5xQbFKbNPcNpJn9\n5kWwLaJMetWQZm4LIyeiZSMuhjTPO3JqZr+E35MRZuOIiNU+D2WjcSbNSYvu3eRzGiaHZ8zavutN\nT6cfNm8wzaS82midm0weqd2P2znNTPz8o/L7H6jox7RnfcL4sYzpo2J7mbRr4+9lTdaLzPerGbvK\nPN9p5xRdV42wWBTNN60fwvdYQE0jpPf1H909tBBUFH05y38vXj1PG0eaEfU0bcU+bZzNWtlPi84a\nKPJTTKtvVnmT56YtUITv80+fXtP4JCJ7A2ur6in++1+BCbgI7y/5iPBfAL4N7K+qe/rzzgeuAD4C\n/EhVr/aBbR7CCZzVRow309MOwerQHnrF1DRJM01PWx3MpuEkTeOSWqh65OA0s7ugzQlmi3lBbUJQ\nmFjzGMozOOi0olnXJyccWVFAY2K/xDz6Mm6noGGaOfuG0hO2tK0xiihbzkAcvCEroAVU1quvj6Eg\nD1n1zaOaYEVpjB83doTGOdaKFAVECr/F10xZd2JukKGie/2xRUuqfh6ytKDJMsSax7Tzs4gDDj3w\n+PNMO3TezdWV0DAMo+O5GpgqIn0+sM1qwDXArv73XYFfA7fh9pleQ0RegQt+s8Bfv5s/dxpwraq+\nDNwrIlv547v4NAzDSKFXhcRm07WCYogYmpz4pkX8DAJGGlnH09JK27IiGdnxxLl3su+p17J02cCQ\n4JU1Ub7v0WdTJ+LJNKsVeIsiaaa1USxMBUG4UfklSe79lkW8yh2Ek6XLBlLbMyl0jR83duhYHB0y\ni9i/M81Xr1ryVufjqJ/xYkT4XDYqaLJO8d6RgXq2BYmJhfWsNBsUafN/67m4XkRkVRG5TESuF5Fb\nReQDInKBiNwjItf5v53y0pj3jelD0RnLRus8/6ipFdeE8+OXVzLy6HlHTq0Yv8K5yWi7cXpZUSqT\nETAvO2nnEdFWk9fG35NlCcRRUUPaeZEyk1FeA8momHHd0vIDZ+2QPOf8o6YO5RHatJ6ol3l1SeuH\n0BZhfEj2b9pi2GkHbpPa7vH9UhQNNI5QG85pdtTTOM+8SMDxeWnPS1zOslFP0+qbVd7kuVn3OXBL\nTY0EqOpC4HLgVuBXOO3h8cAnRWQB8EpcsJqXgKOAq4DfAser6mLgUmCsiNyIixb/RZ900yPGG0a3\ns88p12YKiWnRsY1Kutb09PA5CwaLNnqPhYekyV0wDYTyk+k0k7u84/UQ+yOV9U0MN3vWNbFpaeyH\nCNX5QKaVtdq6p5k0Zm0+n2e6mDQvDv0a16eMWVwySmo10V/z6hiXLY6om2WSlmfSF65/bNGSIR+u\n8Fk2GI56mhctNcv0NKsPY+Ez5J12XjJacEyR6WnC9OyWOvyA6kZEdgc2UNVviMgGuFX/m4CfqOqv\nSibT9eZd3WhSlKQX6gC9UY8eqUPXm8XTA2MT9Mz9ZHVoAUVaxG6oQxmaOT51raAIDKZty5AM+ADZ\n/hxQvUCQPL9aISkO7lB0XdJfIo94RSRLUEiummQJaVllyfq9Fl+hIJglA90kr8kSTvJ8FyG/z8tQ\ni/BblljDkaxbnl9OVjnDFh9hsMsaGNN83qolq12SvnBF/p459WyroBgjIu/GRSd8FLhcVX9Z5rrD\n5ywYDIE7kpruvAAyyTYKz2symE0QrOPALfGWOll5JoMWpfnLhrL096/OBw+bN0L7nwyaEq5JBusK\n5cvT/OT5emcFWIq3F4rzTWP+6elb9wQ/zjhoSlYwmzBGxn59yTIn08oi7t+kL2n8bMaLXQBnzNqe\nj3zxyop84+cmvjZeLISRAZHSIh3H5yXJCsCTl0fsY591T8fXB8J4sGz5wAjT/bQ+D22YTCNtETQu\nZ1qdk/0f93M4vxf8pzFBsWOwOjSfMqamnV6HspigmMLhcxYMhoh28WS72iALsSYpzZG92mASRdQr\nmGYRa+CyggOUCZaSlVfWb5tuOKnQT7FRwluyPGnCdpYgk1b+WupbljxBMzmpj7WLeVrULDaZPJEz\nZm3PokWLc69rxP6ZeQJ62QAlBftULp5/+vRse+QWISI3A+vi/IFm4ULRj8eFoP+Cqv4769qsQFuQ\nHUCmUWTlCenPX1oArAnjx2bu8RrIev7SzksTFqsJ4tRqiiwzINviI8u8sp7AWGP6GOqLMvvDJp/F\nrL1TIT2wUSBvT9UsIbcMSSE50AgrjiLTeBhZ57wgaIkydcwiVh2YoNghWB2aR9F4Gy9YdWodqsWC\n2aRw7yPPsu+p11YEeQn788Wrj0UvnvX6VxtacRwcrNwDsVGTldh3p9oX4fhx2f6VMWHfwbLnJNuu\nqGxZv933aHEwm+Bv10gG/bYiybapJtBLUjNcdH5Mns9jHEgnmW5fX/o+mVCppYj9kIp44PHnOXzO\ngsLzsvZELOPzE0jzEQ1lDL5FMLxqnxZ8pxu2xVDVLYHpwA+Bi4AjVXUH4I8436JCxqT03biVxtLf\nvzr9/aun/l4vWXmOWyl9DEkrS5ly9VVxXsgj/kvmF/+WVdZWUaYcoczJc+L+jf8axZi+4naPy5RV\nh+Q9kVbu5LVxP5XJI4ustm3E45DXNll1zkujF1SIhjGaKNIimj9i9XStoAhuMh8EhvA93s8tjxBU\nIDlpLRIQktEdywhxtWxaDsMT8LJahyCMpQWrCTy48PkhjWMjlMl5WociaolGmmS9/tVK9UERy5ZX\nCp1FZSsSqoMQmOz7ZN/EEWCrjQYbc+8jzw7lmSVgZpU5RFNNIw4OEkjejyFoUxCAw9/M2TekLhAE\ns64M/pL3Y7MRkbeJyPoAqvon3F6zf1HVe/wp84E35qURAnd855DhQDLh74g9NmPRosUsWrSY7xwy\nHKQj7eWVfKmF80J/xH0ThPSsPI/YY7Oh73H6aWX5ziHbDgXkiYmDppx75NSKawJxmcJ5IY/4L5lf\n/FtaWeMyxEFf8ph/+vTUc84/ampF0JRkMJtkOUJdzj9q6ogyh3NCWnH/xn/J/g1liOsVt2FIb5PJ\nE5n3jekV+Ya2S7v2/KOmVrTfEXtsVpF3CBiTvCfSyh1+D+WJ+ykvjzhAU1rbJ68Pf+f6gEjJ+mf1\neWjD+C++/+PAQHl1TvZ/fG+eGwWP6gFtomH0NBbVtDl0relpMO9KUo1fH1RnNlPG7KdRVFuPcE3e\nPnu1lKFZt0e8J2W9ez42wlQtDm6UDDhTa3phI+zkfl7JTdaL9vsqS62mq1nmpPVSZAaW5p/Zbj8g\nETkY2FBVDxGRtYDbgbuA41T1zyLyWeB/VPWAnGS63ryrF8xxeqEO0Bv16JE69IKCsevHJuiZ+8nq\n0EBqFRI7qQ710MzxaaVmJdwuBgfz921LUs3kuFbhqxaBK0S0rCaPPM1QpxHashVCdxlizXQITFFv\neln+PSFow8zZN1QsBuRpgsuQFfyhDPVuB1ItIVprB3I2cJ4PWb8K8DlgCfADEXkBWAx8qo3lMwzD\nMAwD0yK2gp4TFKG+rR6aQS1auWrLP37c2IqgKI2g2crmeoTaIIg1QzDO2qux3jT3OeXaEUFA4n4O\nPqRJP9tmU23U3kbcF2l5tlpYTcPvY7ZXyk+lHSsPn7OAex95tiICKLiXVojqmNymJg6qEUeNhMqI\nlecdOTU16im45z4I38ltZpKa6ziKZVY01GRQrGTU0zLWAGnbu8R5heMhmNh5R06tiPIapx/KHaJi\nQn7U5KxAW7EVSZo2PUszf/5RUyv6Im7DYDae9PUNbRhr0GPLgeTvcX1C260yYeyQiX/IL2tyFO6J\n2EUiqbmPJ0/JaJ/JCK6hj9MCDsGwVQRULnTF92F8D2Q9A8ntguJr8gLyxJFMk5Fnk9tjhf5Ki1wb\n33Px/RCeRW8Z8nwnBNoyDMNhQmJr6DnT00bTTPPLZtEtZQ4T23qji9abBtS/7UkjqcfEucy2I9VQ\nT5TfspEx4/N/8Y3pXW/eVXZsKrrHGrGdSVH+WYtqcaTN0UhZc+zk+JMmBKaRFPKrKVcjxqVY6A0k\n77e0MbHavX2LqLc+aRF9y0bZDvWpJiLtfVceMQFYS1X/KSJvBt4EXKGq/6227G3CTE87BKtDfTRK\nSOyFfoAeMj0VkdcAFwITcKHmZ6nq7SLyJuDbwArgWWBPVX2xlWXLopotFTqFTi9foB7Nb6P9RTup\nzaVN804AACAASURBVOqpU6OF27BHH1TfX7E5bxnqNb01DMNoMhcCPxeR3wNXAD/FbaGze1tLZRij\nhGq2vjAaQ6ujnu4FXKiqU4GjgRP88TnAYaq6HXA/sHeLy1WaVgoUZSL7BRoRQdQYppnaxEaZBreK\npcsGKva8q5ay92a9fqGdwqYbTgJGRowNUTND5MmwhUoyQmQ4dsyMzUdErMyKegoMpZ08Fl8Trgva\nlBAlNxk5syjqaahLEcmypEUzDemEdJPHk+UO/8PnLEI/JInzj7d0iY/FbRNI9kU477wjpw61S2x6\nGo6HPON6nnfk1NTfk/0EzvQ01PesWdvmToRCOZIRQ2PC9clon6G+oU3OO3K4j5M+1vF9G/KMI5Mm\no9/G+aQ9A3HbJ69Ji34bjh8zY/MR5Y6Phb9QvjhybahP8p5LRqONokgvBiar6qXAR4HvquoRwKsy\nO8QwjIZhW1+0h7aZnorIx4HtVHU/EVlDVZ/zx48AxqnqiXnX55l3dYPWr4hqzWJyNgmuoJPaplbz\nq2QanVKfaskqez3t0kyT2WpNScM1ZesxYfxYLj95515Y8uh6865eMMfphTpAb9SjR+rQJyK3Ae8E\nFgD7qup9InKbqr6jzcUrS9ePTdAz95PVoQqa5Y/YC/0APWR6CiAia+P2IlsN2AEgEhJXA2YAH6kn\nj24VHGJCYJNqzg/kTeY7qW3igBz1pNEoWi10ZuVVTxmWLhtomm9btaak1bJ02QDTDp1nASMMw+hU\nrgOeA67yQuIhwL1tLpNh9Cxmatp+miYoisi+wH6Jw8ep6tXAFiLyf8AFwPv8+asBvwBOU1VtVrm6\niVon+8s7c9uBVFYeP5YXl3ZGeTtJiK6HcSs11rQ1K3pkGWpo09VryqiD2P3oK0vd00WRHdM0uLUs\nAsRa5qTGOS2oidfs5r6gQwTUavu3aH/Y84+amhsEphEa82Qbpn1PRpxNOy8mLHjFkVBDdM9wPDat\nrqbt4sBCoWxlLU3KLn7FpphxpFOgIlJriBgaHw8Lfsl9Y+O0ly8fYNy4kXvnJgPP1LpYl+dHHe6Z\nZATgtH4uyP9l4I3AqaoaBsR5QHfsSWUYXYZFNe0MWmp6KiLbAveEQVZEFqlqv4isBPwauERVf1Am\nrVZFPTXaTzsjkHYbyS0GGkGr23/+6d0d+dTGpu6nHq18owNttYpuLXc9lO3ngWX/ZWD5izx83am3\nUrl9znhgvqq+tlllbDBmetohWB3yaZWQ2Av9AL1leroL8BbgWyLyRuBRf/xI4PqyQqIxusibuHSz\nj2IzGBykYtW/EbR44jh6ZqmGYXQFL/3nUZ598EZw85ffRT+tAK5qS6EMowfJExCT+7karaHVUU9P\nAHYUkeuB7wMz/fHPATuJyHX+79gWl8voMkIUOxMSR9LlGoHb212AelllQvWRitMiO4Z7PCYrAmQe\ncRpZETCT588/fXpumlEkyKoI0S6zSEZoTStbvSTzT/uejDibdl5MHPnzrFnbctasbSuif8YRX6tt\nuzGJ+6Sa1fSy+STLHY4lI9LGkU3j9EO/puU3YfxYxiSijsb1idu1Vp/1UKa0PorrE99fWZGF01jt\nNZuy3js/PYDb0mvj6G8TVf1cbaU2DCOmSItoQmJ7aFvU03ox8y7DtIk9yS3zT5++ZbsLUSddb97V\nC+Y4vVAH6I169Egd+kTkVbitvdZW1Y+LyAeBW1R1Ud61IrId8BPgL/7QPcBpwA9xC/ZPADNUdZmI\n7AUchNNWfk9VzxeRcbiYDhvgrC4+paoPicibge8Cgzi3niKhtevHJuiZ+8nqENEuf8Re6Adorulp\nqzWKhtEwTEjsSd7e7gIYhmFkcC7wT2CK/z4BuLDktdep6vb+7yCchdWZqroN8A9gHx/U71hcRPjt\ngENEZBKwJ/CMqm4NnAic7NM8AzhQVd8NrCEi76+7hobRQvY55VoLWtPhtHx7DMMwjBwaG7K1DUw/\nbN5QlMqypAUMmjB+LMuWDwwtiDRCg57MJy3fvj6QDWqPdFtEUfTQVi8AlQlokhatNa2scfTNxxYt\nKW0GXlTvcC+MH1d5TzSSZDCbZETSTSZP5LFFSyrOKUNct2QetezNmpXHlHUnFrZ5sp0njB+bGik1\nDW+O3a+q3xKRDwGo6k9E5Atli5n4vi3wmZA8cBigwB2quhhARG4CtgKmMiyQ/g4IWsaNVPWuKI33\nAL8pWR7DaCsmIHYHJigaRhuxiK69R7VCIqRPvJPHGiEcJNNMy3dwkKYJiZC/7U87rATKCAmDgyPP\nSytraM9qI6YW1Tuk2+x9TGOSdag1Cmxct7R7uhF1SuuforKE8pStl3d3udELaACIyFrAqmWKCLxB\nROYBrwK+Cqymqsv974uAdYC1/efAU9HxpwFUdYWIDPpjz6acaxgdjwmJ3YMJiobRRnpZSDQfUsMw\neoxvA3cA64jIfJyp/EElrrsfON5rIKcA11NpPZHlX1TN8VKuRP39Xb9VLdAb9RiNdZh26Lzc34sC\nqTWDXuiHZmKComEYTaFGIbHrvcrjDdLLYqanw3mb6elIzPS0OI8WmJ72cfp0ROQW4F3AS8D+eE1f\nHqq6EBfMBlV9UESeBN4mIhNUdSkwGVjo/9aOLp0M3Bodv8drNPtwAXDWTJy7sKgsPRK4o+vrMRrr\nUEaL2Oo26YV+gOYKuyYoGobRSfyl+JTOZt43pnf9i6cXXp69UAfojXr0Qh0ARORc4NOqepn//jqc\nb+DbCq7bE3itqn5FRF4D9AM/AD4CXAzsCvwauA04V0TWwEU33QqnsZwI7AZcDUwDrlXVl0XkXhHZ\nSlVvwu1TPafRdTaMRmCmpt2LCYqGYXQS72p3AQzDMDJ4DLhcRPYAPo6LUHpAiet+AVwiIr/HmZzO\nBP4IXCQi+wMPAxeq6oCIHAVchfNrPF5VF4vIpbg9qG/EaTL39ukeDJwjImOAW1U1ezZuGG0gT0AE\nExK7ARMUDcMwGkiRD0Ya7QpqZMGUGk/SZLMRtMokt9PMgptNlff/oKr2icincD6H9wHvUtUniy5U\n1ReAD6b89N6Uc68ArkgcWwHsk3Lu34FtyhXfMFqLaRF7A9tH0TAMo820S1gzIbHxPPD48w0VEqF1\nAlqnRaRtNmXv/+cevZ3nHr0DEdkHN2+6BRgP7OSPGYYRYUJi72AaRcMwDMMwjAxefOYhfKDRrcMh\n4MHo+/ltKJZhdCQmJPYWJigahmF4RGRV4ALgNcDKwAnAPcBcnCbhCWCGqi5rZL5meto7mOlp91D2\n/l/7LR8F4I7fXfwpEXmdqt4HICJvVdU/NLeUhtEdmIDYm5igaBhGJ9Hu0Ig7A7er6jdEZAPgGuD3\nwJmqeoWInIjzFTo7K4H5p1vU006gF+oAvVGPHqlDn3/+1wU+5Q8fJSIPqupRbSyaYbQdExJ7FxMU\nDcPoJFZtZ+Yh7L1nA+CfwHa4/dLAhcI/jBxBsZZgNoaRRydo8zqhDG1mELhFVbcMB1R1dxG5uY1l\nMoy2Y0Jib9NSQdHvH3QhMAHnCD5LVW+Pft8fOEpVN25luQzDMGL85G9d3J5l16jqcv/TImCdthXM\nGJV0goDWCWXoAMaJyARVXQogIqvjtrswjFFH0aKoCYm9QaGg6Pfv+b6qXtOA/PbC7RX0YxHZBuf/\n8z6fz2twG8ba68gwRi//rTcBEdkJ6FfVC0XkYuAdwJE+7HwpVHVLEXkzbjPsmL56y2cYRtdyNvA3\nEbkL57P8duD4tpbIMNqAaRFHD2W2x/gZcICI3Csix4rIerVmpqrfVNUf+6/BrCtwKm7zWpuIGcbo\nZfUGpPFl4Fci8n+4xbDNgAPLXCgibxOR9QFU9U/++sUisrI/ZTKwsAFlNIzS9HXAW7ETytBuVPU8\nYCpwGXAJsBXw07YWyjBajAmJo4tCjaIX7H4sImsAH8ZNwB4DZteiZRSRtXF+PqsBO/hj2wGLVfUO\nEak2ScMwjJj/quoiEdkZmKuqi0WkbGjPrYENgUNEZC3cOPVrYFecdnFX/z0TC2bTGfRCHaA36tEj\ndQii8mo4E/RB4PXAt/x/w+hp8gREMCGxVynloygiqwG7AXsDS4ArgYNEZHtVPSbjmn2B/RKHj1PV\nq4Et/Gr/BX4y92XgQ7VVwTCMHqIRs8mVReQI4P3AYSLyWmBiyWvPBs4TkQXAKsDngLuAi7wP9cM4\nP2vDMEYZIvIt4L04P+X7gdcC32hroQyjBZgWcfRSxkfxAtzA+HPg894cCxE5C7gTSBUUvYnGeYm0\nthWRSar6rKr+WkQuwpmFrQtc5bWJ64jIJaq6Z+3VMgyjS2mE6elngE8De6vqiyLyPqBU+HpVfQnn\nS53kvWUzt6inhtGTDAK3qurrReQ6Vd1eRN4G7N7ughlGMzEhcXRTRqP4e5yAuCQ+qKqDIvLpKvPb\nBXgL8C0ReSPwqI96umk4QUQeMiHRMIw6+LiqHhS+qOq3ReRc3J6IhmEYtfKy/z9BRMao6l0i8s22\nlsgwmkiekNgLbhZGMWUExa2ALUUk2OcPAgOAkrOXWAYnABeKyC7AysDMlHMs6qlhGFXjx5UPAzuK\nyLoMB8YaB2zTtoIZhtEr/F1EDgBuBH4rIkpjrCAMo6MwLaIRKCMo/hM3yZqPm3jtDPwJmALMxWkJ\nS6Gq//bX550zpWx6hmEYEb8BngK2AH7HsKA4ABzXrkIZhtEz7A+8EngO2AN4DXBSW0tkGA3GhEQj\npoyg+A5gB1UdAPBmFj9X1Wk+4INhGEbbUdUXgZtE5C3AK4CNfSTlsWH8agW9YI7TI1Equ74O0Bv1\n6JE69MmVR3xbVb/gDyX3WDWMrseERCNJGUFxHWAN4Bn/fRVgI79dRtlIgoZhGK1iF+CrwDLgf4A5\nIvIHH2DLMAyjVpaJyA7ATbjxBQBVXdG+IhlGYzAh0UijjKB4FvAPEXkIWIEzOT0N+CCJqKaGYRgd\nwKG4oFlX+u+HATfQovHKop4aRk8yiNu+5yCGzdrD8bFtKZFhNAATEI08ygiK5wCX4PYLGgM84H0N\nDcMwOpHnVHWJ324Hv0XG0jaXyTCMLkdV67KiEpFVgL/gLB6uxcV5GAM8AcxQ1WUishdOGF0BfE9V\nzxeRccAFwAY4n+tPqepDIvJm4Ls4YfUeVf1cPeUzRh8mJBpF5AqKPtLp9aq6DW7PRMMwjE7naRHZ\nG1hVRN4KfBRY1N4iGYbR7fhoyofgTNoHgXuAb6rqUyWT+BLwtP/8VeBMVb1CRE4E9hGRucCxuIBc\ny4E7RORnOAuuZ1R1LxHZETgZ+BhwBnCg36bjYhF5v6r+pjG1NXodExKNMuQKin6vxLtE5KvAzTib\n/D5gUFWz7zDDMIz28Vnga7iw9efi9oLdr60lMgyjF7gMpwmcg9MEbgVcTontd0RkU9ye0b/0h7YF\nPuM/z8eZyCtwh6ou9tfc5POYClzoz/0dELSMG6nqXVEa78FFfzaMTPIERDAh0aikjOnpZriVs60T\nx01QNAyj41DVZ0XkC36ha2XgNar6TOGFDcKinnYGvVAH6I169Egd+uTKI25U1S9Hh38lIteUTOI0\n4PPAp/z31VR1uf+8CBc4cG0qrR+eio4/DS5wjogM+mPPppxrGJmYFtGolkJBUVW3A2eGqqqDTS+R\nYRhGHYjI0cB/ReR7OJP5F0TkKlU9ts1FMwyju/mDiLwtaPFEZDPgz0UXicgngAWq+qj3ne5LnJL8\nXsvxMUXlACe09wK9UI9W1yEv0Nr806fXlKb1Q+9TKCj6PcnOxZlxiYgcC1ytqrc1u3CGYRg1MA3Y\nEvgEMF9VjxSR61qWuUU9NYye4sFrTgRnWfUYcICIPIcLNjMJeBDnt5jHTsAUEfkwsB6wFFgsIiur\n6kvAZGCh/1s7um4ycGt0/B5vctqHC4CzZuLchUV16XbNLvSMhrpldShjalpLWawfOodmCrtlTE+/\nDeyLc5oGuBQXfWvLJpXJMAyjHpZ7s9OdgG/5Yxa+3jCMmlh/y5kAPHTtKUkXnFKo6sfCZxE5DngY\nN4faFbjY//81cBtwrt+negDnn3gQbs/q3YCrcQth16rqyyJyr4hspao34faPnVNL+YzexUxNjXop\nIyguV9U/RaHm7xOR5QXXGIZhtIv/iMivcCv3t4jINNykyzAMo2rGrfoqAFT14QYlOQgcB1wkIvvj\nBMcLVXVARI4CrvLnHK+qi0XkUmBHEbkReAnY26dzMHCOiIwBbrUgg0aMCYlGIyglKMr/Z+/Mw+Uo\nqv7/mYQkQNjxYiDsqAf35QWVLYGIggJGRFzAyOoPAQWJLBFwAV5ExATEFyIIAcwLKsKLEBXlZTFR\nRFlcIkqOyiYEhLAm5oUk3Mzvj6q6t6Zv90zP3Fn7ns/z5Mncnu7qql7O1Klz6lsi24Q/ROT9ZOfN\nG4ZhdJqDcOp/d/rI4svAIR2uk2EYBqp6RvTn+1K+vx64PrFtNXB4yr4PkENx1RhZmKqp0UzyOIon\nAjcBrxORpbiRr0+1slKGYRjDoARsAZzp1QH/hFsioy2Y6ml3UIQ2QDHaUZA22AC50fVYFNFoNnlU\nTxcCbxaRPmCFqi5tfbUMwzAa5gfAs8CdOCXAScD7gQ91slKGYfQ2frmdI4HNVXWGiLwb+KMXpDGM\njmJOotEK8qievglnGDcCSn6uYllV644qisgmuEVjxwFjgemqerefuP0DnILYYuATqrqy3vINwzCA\nDVR1n+jv2X5uT1sw1VPDKCRl4ArgRZzIDMA7cPMEP551kGG0A3MSjVaRZ92da4HngNsS/xrhYNyE\n7SnAqcBZfvtpwM9V9d3AH4G3Nli+YRjGwyIysPC0iEwA/tbB+hiGUQy2V9UTgOUAqnoxblkKw+gI\nh3/99kwncc6MKeYkGsMmzxzFJ1X1zGacTFXPj/7cEnjMf94XPyFbVc9KHmcYhlEHWwMPishfcINh\n2wN/8VHFsqqa+INhGI3wSvyHiIwH1uxQXYwRjkURjXaQx1H8uYjsBdxBZCS9Clfd+NH9ecB4IDzJ\nE4CjReS9wF+B4yz11DCMehCRLf3H7/r/y7g0sRcYVGou5yjnG8CuOPt4DjAVl2L2rN/lPFX9WZOq\nbRhG7/AjEbkN2FZEvo2b+3xRh+tkjEDMSTTaRR5H8XRg3cS2MjUWsBaRI3BzG2O+oqq3ADv6ZTau\nAvbCjcjdoqpnicil/riLc9TNMAwj8BuGOoIb41LlD1HV52oVICJ7AG9U1Z1FZCNcKvxtwIy8zqGp\nnnYHRWgDFKMdBWlDiZlTEZHfAbvj1jO8UlXv62zNjJGELX1htJtMR1FETlTVb6rq+v7vHVX1Hv95\nTq2CVfVy4PJEmZNFZENVfV5VbxaR7/mvHlPV3/nPtwB7NNIYwzBGLqq6eXKbiIwGjgJmAoflKGYB\ncLf//CKwNm5QLLc0vonZGEYhKf/tJyfviRuMCs7h+iIyxRa6N9qBRRGNTlAtorgP8M3o73MZTBXd\npsHz7Q+8DfiWiLwZ+KfffruI7K6qvwR2ABY1WL5hGMYAqtoPXCwi8+vYf7n/8wjgZ0A/8FkRmQ48\nDXxWVZ/NKMIwjOLyJQazFsYCb8Qtw2OOotFSzEk0OkWe1NNAMxabPQu4SkT2x6WbHu23fwm4WkTO\nBP4FnNGEcxmGYQRqzk2MEZGpwOHAe4EdgWdUdaGInAJ8Ffhc02toGEZXo6q7x3/7Jb++3pnaGCMF\ncxKNTlKPozhs/Cj8vinbn8HNVTQMw2gqInIw8FQd++8FfBHYW1WXURktmIfNnzYMA1DVp0Xk9Z2u\nh1FMzEE0uoG2OoqGYRitQkQeS9m8IW7O4UE5y1gfOA+Yoqov+G3XAWeo6p9xy/j8uVoZJmbTHRSh\nDVCMdhSkDSURmZvYvAUuNd0wmoo5iUa3UM1R3DnR8eqL/u5rYZ0MwzAaYbeUbcvqnE/4MZxS6o9E\nJGy7ArhCRP4NLCOfKI5hGMXjNlwae4nB5Xdu6WiNjMJhTqLRTVRzFKXKd4ZhGF2Fqj7ShDIuBS5N\n+ep7KdtSMdVTwygkZeC1QHIN6QlhUElVH2p3pYziYEtfGN1IpqPYjE6XYRiGYRhGQbgZ2A54Fucw\n9uHU24NYVqOK8MYIx6KIRrdicxQNwzAMwzBq8zPgKlX9PYCIvBuYpqrHdrZaRi9jTqLRzZijaBiG\nYRiGUZu3qerx4Q9V/a2IfKPWQSKyNnAlsAluabCzgIXAXGAU8CTO4VzpVZqPx0UsL1XVOSIyxh+/\nJU485zBVfVhE3opTYS4DC1X1mKa11GgL5iQa3Y45ioZhGE3EVE+7gyK0AYrRjoK0oSQ/OfluETkW\nmI8TtNkVWDvH4fsCd6vqN0VkS+BW4NfAt1X1ehE5Gzjcq6p+Cbd26yrgHhG5Afgg8JyqHiwi7wXO\nAT4OXAAcp6r3icjVIrK3qv68uS03WkG1uezmIBrdhDmKhmEYhmEYtTkI+CpwFM5RvB/4ZK2DVPXa\n6M8tgceA3X054NZnPRFQ4B6/fisiciewCzAFuMrvexsQooxbq+p9URl7AuYodjkWRTR6CXMUDcMw\nmoipnhpGISmraokcjmEWIvIbYDNgP+BWVV3lv1oCbApM8J8DT0fbnwFQ1dUiUvbbnk/Z1+hizEk0\neg1zFA3DMAzDMDJ44r7/ZrP/+CQi8jiDCqeBsqpumaccVd3Zzyu8OvFVKeOQeraPylOHvr518+zW\n9fRaO2oNIM6bObVNNWkuvXYf0ihCG1qJOYqGYRiGYRgZbPLGgU78rilfJx3HIYjIfwBPq+pjqvon\nEVkDWCYia6rqy8BE4An/b0J06ETgt9H2hT7ltIQTwNk4se8TterS63NFoffmvOaJIvZSewK9dh/S\nKEIboLXObq4RKMMwDMMwjJHIGmsOdMKeAt4G7IGbN/ge/68WuwHTAUTk1cB4nKDNAf77A3BrNP4O\n2FFE1heRdXDzExcAtwAH+n33A25X1VeARSKyi9++vy/D6CIs1dTodSyiaBiG0URM9bQ7KEIboBjt\nKEgbSvKTk+fjlqd4NPH1nBqHfwe4XEQWAGsBxwD3Ad8TkaOAR3DrM/aLyAzgF7hI5VdVdZmI/BB4\nr4j8CngZONSX+3ngEhEZBfxWVbO9EqPtVHMSi/A7YYwM2uooisgmOOWuccBYYLqq3i0iBwBfAFYC\ni4FDo0nehmEYhmEYnWaMqk6u9yCfXnpwylfvS9n3euD6xLbVwOEp+z4ATKq3PkZrsSiiUSTaHVE8\nGDdq9gMRmYRbdHYv4EJgez9ydgnwYeCHba6bYRidp7/TFRgupnpqGIWkDFwmIq9S1Wc6XRmjOzEn\n0SgabXUUVfX86M+wlhA42ecNgWXABlTKQxuGYRiGYXSaLYB/iMgDwCt+W1lVLapnmJNoFJK2z1EU\nkQm4hWHHMzgJ/HPAH0TkBdxis5ZnbxiGYRhGN/H1lG01VU+NYlPNQQRzEo3epmWOoogcARyZ2PwV\nVb0Fp+r1fuBKEdkb+C9gB1V9WER+KCL7qOpPW1U3wzC6ltGdroBhGEbMqpcG1rV/yP9fBl5U1aWd\nqZHRLVgU0Sg6LXMUVfVy4PJ4m4hMFpENVfV5Vb1ZRL4H9Pn9H/a73Qa8EzBH0TCMnqMIanYFUans\n+TZAMdrR623Yf/8PsGTJ048Dd0abNxaR24BDVPW5DlXN6CDmJBojgXannu6PW4PoWyLyZuCf+PmJ\n0QTxdwK/bHO9DMMwDMMwhnDDDT+jr2/dLeJtIjIaOAqYCRzWkYoZHcOcRGOk0G5H8SzgKhHZH1gT\nOFpVV4vIscA8EVmBS+34fpvrZRiG0RSKpnpaKkG5ALOwitIOo2OU582cWgp/qGo/cLGIzO9gnYw2\nYw6iMdJot+rps8C+KdtvAm5qZ12M5jNu7GhWrOz51Q2MztK7+WkFpSjOVVHaYXQd9mSNEMxJNEYi\nozpdAcMwDMMwjF5DRA4Gnup0PYzWY06iMVJp+/IYRnHZvG88Dy42EThjWNzf6QqIyDeAXXH28Rzg\nXmAubmDtSWCaqq7sXA3bS1FSNovSDqP9PHTr2QCInPxYtHlD4G7goE7UyWgPtvSFMdIxR9FoGqdN\n26GmUTWKRQs63zs1tbQ6EZE9gDeq6s4ishHwR+BW4Nuqer2InA0cDnwnqwxTPe0OitAGKEY7er0N\nTx6yPQce+MFtEpuX+ek0RkGxKKJhmKNoGMYwKJcLNzd1AS5KAPAiMB6YjFM3BJgHnEgVR9HEbFwn\nqpWDRqUSbLvZerkzGMaNHT1iMh62m5h+XSyiOjxet+83Fs6bOXW9TtfDaA/mJBqGwxxFo6m0uoNo\ndB9NdhI76nF6JcPl/s8jcOu57qWqq/y2JcCmnahbp2jEuWi1DSiXqcvpW7Gyf0Q4iZB9XcxJHDbr\ndroCRuuxVFPDqMQcRcMwuon/63QFAERkKm5ttL2Av0dfldKPMAzDMHoZiyIaxlBM9dTITalGF/ns\nufdyxLnFiSaOGzu6ru1GMRCRvYBTgfer6lLg3yIyzn89EXiiY5XrALXe+zRa3akqlVyKZV7GjR1d\n1/69TFY7G7mPRgW9O8nSqIk5iYaRjkUUjdxsu9l6PPTE0swUpqKldmWlVG7eN77qdTB6FxFZHzgP\nmKKqL/jNtwIfAa4GDgBurlaGidk4Ot256nUBlUAR2lGQNoyMkYYRhqWaGkZ1zFHsQTolSlA0R7BR\nHl+ynLFjCiXg0k2s3eHzfwzYGPiRiIBbTPtQ4DIROQp4BLiqU5UzDKM3ybvsjl+b8XhgNXCpqs4R\nkTHAlcCWuHnch6nqwyLyVuBinJ1aqKrHtLlZPY1FEQ2jNuYo9iDtchJLJepyiLLU9gyjDjqa16uq\nlwKXpnz1vrxltEr1tFSCy0+ZwtGz5jd9kKKaKmi9A1NzZkzhiHNvb4qdyjp3uBZ5RXO2m7he05bv\nabXK73AHArMExbabWD0jpJNUa/Nwf1eyym6g3FfmzZzaUJ8p77I7IjIX+BKwI7AKuEdEbgA+1u63\nMwAAIABJREFUCDynqgeLyHtxjubHgQuA41T1PhG5WkT2VtWfN1LHkYY5iYaRj0LNUbQ5GM1l7JjR\nzJ4+OdecvNARa8b8vVKp++cBbt43vulldnub20Rv56e1kHLZdW5a4aRUUwWt17E4/OvNcRKrnTtc\ni7w8uHhp05RYW51JMNxrl9XOBxd3p5MI1ds83MHHJk6VGI6BXgB81H+Ol925yW+bB+wJvBO4R1WX\nqerLwJ3ALsAU4Aa/723ALj7KuLWq3pcow6jC4V+/3ZxEw6iDQjiK48aOZtzY0V37I9jNVHOuZ0+f\nDNTnFM2ePplSyZU7Z8aUhpz3cnmwnG5kxcp+Hl+yvPaODZTbizTZwb2/mYUZhmF0GlXtV9Xksjvr\npCy7M8F/DjwdbX/Gl7Ual2o6AXg+ZV8jg1oOojmJhjGUQjiKvdrBTjJu7OjUaFrY1mzHadzY0Wy7\nWe35+Q89kX/k9ey591IuO2cvfK6XUgmOnjW/445/NQeoKM9cM2hFdNUYShh8aUXkuZoqaL12p9EB\nonrOHa5FXrabuF7TOoGtjvwP99pltXO7iet17eBbtXoNV602q+wGyh220Y+W3fls4qusK1DP9kL0\n51qFRRENozEKNUexVSIvzS43a45L2Jb8rlxujWOyYmV/phMYOkPVnL1Syf1abbOZSztN8viS5bnn\n84wbO5qVq9x+9cw9MvIRrm/yXnZKGKkKO3W6AsOl1aqnIdLfSoarUnn5Ke3peFXr4KW1oRc7hI3c\ni25rZ0FUT4fVX4qW3dlLVZeKyL9FZJyqrmBw2Z0ncJHCwETgt9H2hT7ltIQTwNk4sW/NpXv6+tYd\nTjO6hnraUW3e+LyZU5tRnYYowr2wNhSfjjiKIvJqYBEwVVUXNEO5a7iOVHCM0sqpNsn+8SXLGzp3\nqwUR8pLVthUr+zl77r01jy1DRRpm7HiuWNmfWzAgXIvQwekGB6Yb7k+jJK97VltisaJq70C95xsG\nvXvRDcMwUqhj2Z3f4RSW18fZwl1wCqjrAQcCtwD7Aber6isiskhEdlHVO4H9gQtr1aXXHXbIP/CQ\nJ4rYqetRkMETa0OX0Epnt1MRxfOAf0R/d0y5K6j91auIF9JZGulUZx2Tx3kMnflQ56S6YDMdrMeX\nLGf29Mk1r0szHarDv357TyyMnaUsmMVwnLBGyJsuHKK40FjdSiU4bdoONQcV6uDuZhXUKaaeeCNl\n6lMMDsQ2oJriZ7y9Xic9bf8sVdBSya2fWq38OFodyoHBTlra+WrZujgilvae1VI9jcsfN3b0QBT2\n7Ln3VgzuJa9lWr2SA4JxKmMjtrda2/Mo24bzpD0roa1p1yVc0+R3jarUBjudfG7S2jeqBKsT1woG\nr1ea6m6ob7AtjQxEZb0btRRg0+z7MCNPuZbdUdV+EZkB/MLv81VVXSYiPwTeKyK/Al72xwJ8HrhE\nREYBv1VVS8XxWKqpYTSHUrnNYRsRmYIb+VoHuAKXVqGquo3//uPADqp6YrVy9vvCjU2peDAYjUjO\nV+sYZKX6VSOPoxg6bqFznvwRbHYkLm95cQcxdDriuTzdEJ2rdX3rifI2EkGr17nMoln3uBnlVFtW\noUH6G5Wg7xaaZZt6lWZFl5v1vkBLnlOjDXTbkkvzZk7t0lmeuSkXJXpSrR294CQWIZJlbege+vrW\nbZltauvkZxEZC5yOy9MPvIphKHeFCfqNir0cPWt+/QfVoFRqTOCjmpMSj8A+uHjpwMh4krFjnCjF\ndhPXyxTHicusJczQiCNx+SlT2G7ieqxY2T/wL+/50giqtsNl877xA9cmLWqZvP7VhDQaIURLhyso\nUS43ZymYZDSkkTLjiKRhGIZhdJJecBINo5domaMoIkeIyF3xP2AGMFtVg/vesHLXvJlTmTdzKmPW\nGD0g9rJmA87EipX99PWtyzabVjoOa42rXVa1Nb4eXLw0tT55ys1zrjFrjK6o86iSK/u6c/blgul7\nMGYNFx0rl2GbTddjrXGjh5y7XHbHVWP7rTas+Dvef/utNhz4d8H0PejrW3fg3xPPDHVi84ryxOWu\nNW50hbM5HMasMZoLpu8xcH2qsda40ZnP003fnFpxfK1rGNOMtcxGlWjoWU8jPBdBqbbe53PNsaNr\nXss66fnU01Gl4Q2KBPIOVNSbqp22f5YqaKlUu/x4kC5kFsRlpR1f69qE47M6drVUT+PyQzrmadN2\nGBhAi8upVa+0Y9IGVvIOtFRrex5l23CetHaMGzs687pkyf83qlIbBtySZabVPWkjk9cvTXV3zowp\nA/es0ekIWcfVGrBLu04FiCYWmmrrI9rSF4bROG1NPRWRXzO4aO12uOjhQcA8Vd3K73MI8CZVPalG\nceUlS5ZVzK0oleqfFxQ6Eck0zm5XUE3OHYpTP6EylbaRc2aluMY/vKdN2yEzbJ+WFlvtXDBYx7Q0\n1ng/aGz+V/IaVatjtTmF4RrE16TafJfhkJYOm0yja/SZSpsPlSdFL04HS16L4Yg0jRs7muvO2bcI\nnbGeT+8qQjpOEdoAxWhHQdpgtqlLSD5PvRhFLMg7YW3oEgqTeqqqu6rqTqq6E27B2WNUdSGwSER2\n8bvtj1P/qkna0g2hk5pnFLJUypaaz9PxbnQx+UbKS47Shqhl4PEly5spKDLgJCZ5fMlyTpu2Q+p3\nMadN2yFzdD7J5adMyVzPceyY0RWfg+z+ylX9dV//kLIb1zHrGVmxsp/N+8anpjQ/uHhpxUj3adN2\nGEi3TSOMuteKoqR9v2Jlf+oPXZx2PHbM0GhxFnHkIW0JgxUr+6ve21p1CWUbhmEYRqvpRSfRMHqJ\nbhGNqFu566QLFwyJesRO2IOLlzJnxhTOnntvrmhP2ny/WtQjZJNHSGX29MmZ6nNpx4YI6spVLjUz\nOEKnTduhIirUSLQpK6IUls2o5SgCqZGpWuqJQc01MHv65IF5pHkUWOvltGk7cOz583lpRfq9yYo2\nh2OPnjWfo2fNH0htS7t/4dmqFqkrlbLTcpMDAMllRzbvG8+YNUaz6NHn0w6vIAwAHHHu7Rxx7u2p\nDvrRs+ZXFZGIVU5DWYGVq/prqmQWnZMuXMCqV9y9fHDx0lTl0Kzsh2AnwjGhjJgs9co8xOU+9MRS\nxo4ZXTFYFu6lbLkhq17pT81SSNqyYGcfX7K84v0N9YtFacIgQvxex9HseKAPqHin0pRMk2qb4R0r\nlVyKeGw7YrLqFpcZ1zWtDsnIevJ3JkvMK+vdiu1fHhXSWK00mekRv59Z6rNJexvbuTxZClmqp+HY\nuE6xfQoqsvF1SdYtPn/e5z3tNzZ5bHIwL039N6tNN32zc+vtGUOp9jwks4cMw2ictqueNoupJ95Y\nXl2j6rUk1KE1qadZ6Xu1FNzqUfnLkq1Pk6dPHpe3XVllxXLztcL2tVJQk9cqzcCHzl4zVAvjEcbQ\nmYo7MaE+wEA9jp41f8DxD89U2B53TLLue9Yzloc8z9J2E9dLdRST9zrPUgdxfatJ7MekpSZndYSh\n+vIwRUg97TXV02qDVOF9rEcVutuUKqHSZjV7sKnbqDf9u9o7a1TQ84rMFCT1tAhRxCKkPFobuofC\npJ42k+AkVlNrLJepiHakEVQbT5u2Q10ql42oV4aR7izydmC2m7jekLTBIAYQO1lp50p2BPO0IVmv\nvIquR8+az+NLltdMRYyjucnIbuigrljZn3ttwCzitgbn5sHFSyscrJB6GTuJQRQoK10zPjatsxU7\nnvWmZYYR/6TwQx623Www5XXc2NG5nMSQjp01yBAIkVQYTOGtNoqbp/6moGoYhmFUowhOomH0Ej3r\nKAbCvLVG50XFc+BCOcEhCGp3aRG4BxcvzXQaYoW9JI1EKbOWh4g76LHzFjrxl58yZcCRDvslHcPk\nUgthn1oLqdeaDxk7eGnpdYF6lhGJ71UgS10ybVva8WnkXTJl9vTJdT13Z8+9t26hl5BOHNc9OI+1\nnLMwb3X29Mls3jc+M706bsO2m61X171Nu1ZpDnFQvF2xsj/TIcyap9prbL/VhhVzpNOUQ2s9t/E7\nm2Q4Cn5JWxBH2mJ7EdoQnq34WU/We86MQVuZpnoafw62LB7ASLYdKhU101Q+09Q9Y+XMUskpY4dz\nxKmn1eqWVde0OsT3Js22huOT1ytrLnOof14V0ni/eNmf2dMnpyqSJs8b36/k71We82epnqbVKVbP\nDs9K1rVMnj/v8572PiWPjeuUpf6b1aYCRBN7mmqqpmBOomG0ip5NPf3oqT8pry4Pzj2J09/ieT6X\nnzJlSGpcPJekWke71vzGrBSruMzkuavNUbv8lCmZ6V9AZnpm1tySZAcpkGf+S1YbkymPF0zfIzVs\nXy1VLTmfJmn8kwY/nk+Udp+TVFPuTN4bgAum78F+X7ix4vj4umXNcwplVIvSxamq1fZtJCU4nof0\nje//YSAympz/FpedPE9aWVn3Lo9KalxetbYm5+eF40xZsDsoQjpOEdoAxWhHQdpgtqlDFNFBLMg7\nYW3oEiz1NIVrv7ZvRcc9RDFCJ3/OjCkDHfTkWkxxp7mak1htzbs8kaSkkxiv45VMxQt1TYuqBKXR\ntAjS0bPmV3TI8zgbl58yZSAKUEsZ9vElyyvqmjf9s1a0LU7vjMtPjmTHEavwOYyEZ0WmNu8bn1nP\nOKoW1yGOcCQdwtnTJzfkJELl/awmmJR239NG9ceNHV3hiIWI43nHTaqIhseR2viZiCOT8fMfX4us\nKO/YMaMr7kHWQEQoL+vZKkrk0DAMw2gtRXQSDaOX6NlUiqAsGEeHQoQiTZXz8SXLh0RJyuX0fcP+\nWYR5XGkpenHnO23uXVqkMa5zNcW7NJGXZJviiNHmfeMrIkVZ5dUjVBE7GrVUxbKEXZLHhUhq+JzF\nylWDcwCrOWjVvgtOUFqUMMvpGQ6xEm01wlzOpKpjUJMM27Pu00kXLhjy/Ccj4qUSQ9Rw8yrYJs8d\nO4khCpn8HJQtk3VuRGG410lTBU1T840FrUInKOvdCPslswiSEd74GUgK18QR77hO152zb2rd06L5\nWZ21ZDuqXRuotNFpolOxbQwDZslOZMh4qKZ6Gt6LoPgaq7nGdr3ae5G2TxC9guqK2Ell1XDuQLg/\n4AZVxqwxGv3n8xVZMLXqF+oDDLmmSQXQtN+BOHMkPFPx/Uk+N3GZSRsAQ3+vs45LU2sN9U7+ZsbP\nMlQK1yXbllyPN9Q9HBv/roVspDxZR0ZrMSfRMDpPz6aeBmXBNFW+tNTBammQaT8CtRZjr6ZimfbD\nlnaeb3z/Dzz85NIhkvBZqplJ0tqVdDbismtFT9OIOwxJ1cxqqadZ9av3R7deyfb4PMm04azUyW02\nXS+1E5O3fnEHKk3ZM9y/as9hvM/KVf2MHTMoXZ+myBtSqmFo6mk15du0VOJku/NESkO0M9QzK/U5\neS3CPttutt7AdUuo6BYuvSt5PcPyAHkGZ5Jpw6GD20zlzrT3Yq1xo7nohPxKvVnp4lnfB6qVn0w1\nHw55lYfzOAhpdr2ewbZmUc2W1qtSm/d5jMlSFa81cJFlm6qptTaqpJv2OxDqCPX9nlwwfY/C2aZu\npZaDWIR0QWtDd1CENoClntYkGdnLK5CS1UmuJeaRdy3BWoIj5x03qS4xlyRp6Z3xD20zVCTj6E/o\n3Kd9l0ayba0emQ3pkOE8SZGjNDGblav6WfTo8wORv0aIr/mKlf1D2h3+znM/Nu8bPyD8khWNDJ2b\nOF30vOMm1RS3SRKnseZpe7i+oSMY6lktHTkr4h13+sL7ZBiGYYxsLIpoGN1FzzqKa40bVE17cPHS\ngchEWkc5a75csoMbz/vKkx5Xq3ObJ4Up6Uymze2KO9vJTn21uYDxaGm19sR1SJa1ed/4ivrFTlA9\nTm6jTmI89zRrblv4PqhqhrZmjaqHazZu7OgK57HelMis6ESoc1CYDO2uNjcvXMusOiQVFtOIHccs\n4mc+pCbHcx2TJOdJzp4+eUg7xo4ZPfCM1FKW7YX5iSLyFhF5UESO9X9fKSILReQO/+8D9ZQXz00O\nz0P8DGapcIZ51kGJNE71i/dLzneupsaZVPGMy43rdO3X9k2te1xOWl2y2lHr2iRtTzgm/j6p8plW\nbi3V01BeUHwNc5NDm4LadTV7lTYAGK5dteWawjmSyqrh/6TKarAf22+14RBl6lr2NL6X8TVNUwCN\nn8fkdQx1S96f+LlJlhmrhwcF8KSKbtpxWWqtc2ZMSf1dTF6rrLaFdyhZ9/jdSirUJq+3pZ62HlM1\nNYzupOdTT/OmVway5ipAunJqFlnpOmmqj1n1qhbyjg1mlnprcn4MDM4LC2Sl41YjvkZpx8UOcLU2\n5LkGtah1T0LnIXkvstJUkz82w6ljmqOYlp6bNS81Wa+sOTjx+SB94CHrPtRSMM1qf61nKDnPK+18\nyXsQrn0oO8x7iuftdTr1VETWBm4E/g7cr6oXi8gVwI9U9Wc5i+mJ9K5qFCEdpwhtgGK0oyBtsNTT\nFlHNQUzrgxTkebI2dAFFaAO01j71rJhNIBnVOnrW/IqOZ5J4TkVSHCKeTA/VRVGS4g5QufZgHBl6\n6ImlHD1r/hBjFyb4x+eHwQn2cZ1rkSXKUm1ph5i43bXGDvI6U0mRk1aRd+5KHqXaeqi1DEQ9HHHu\n7UOibclnu5FrmDXYEaevJh3QWBgqKzqSVZfkPMtkNDyuUzOuWwtYAewLzADi1uc2wmnCHWlOfizW\nkSVsEx8bbEra4EGIFKdFbOOBgECa4Eg9DOfYQJrAT60sjFgEJpw7KXAT7GeWmE04BiqXrgnnzRKq\nqdXesE9IMQ+p+uE9rjawkjYoFI594pnlrI5sct5rnnw2wsBQWj3SSD6H8QAPVF6fWmJkJ124AP3n\n80POm3wH0q5Fct8wSBvqEp7vMNiWrFuo+8pV/Wy7WfYAa/LvtOfTaD4WRTSM7qZnI4onXbignFQ9\nrSXSkYyuJCOKSfIK2iSVJeNo3MpV/anRubSy445Otagn1K/IV41qUbta16jRiGI9dcxa4y9N/CdE\n9MK+8fWvJdzSjKhntTUvawlMhM5SWoemFln3od6R2mQ9k2qMecgSIMoj1tQto/Yi8hXgGVW9yEcU\nJwBjgaeBz6rqs1nHJoW20p6xvGI0aSIeeYVZqlFrvdVq73U14bC8pNlryF4rFtLFT+L3uxppjiUM\nzQBIy1DJ0956xGOyxK3y3tc81zzPs1GtnDxCM3l+r9LqklR+zVO3esWbqtndrPsKZGZDmJhN86l1\nT6s5iUWIAlkbuoMitAEsopjKecdNquvmNqJKl4zwJSMk4Eb54x+U+HNSUjwvccclOeerlvMQ/yjX\nEtxJm5OWtVB9M0mrY7UR+7gNafL1cUdl7JjB5TfydLqCYmijqqeQvgxK2t+1UpnjSF6zyFLBrVaf\n+BkY7mh6WoQr2cEfjqBTm5iLcxoXisgpwFeBz9U6aMwao+nrW5cxa4wesi0v8bGBUSWGlFsvJSCY\nqlBekqx6jipVfq6nPYFk3dP+rlXuqFJlO2rtG8qLjyklzh23LdQhT3tH1fETHcpIHpP3vua55nme\njXruXVr7wvVJXs9kmcm65Dlvo89Vsm6hrLTvkvc1JvlcDeddC4jIW4AbgFl+AGoLnG0ZBTwJTFPV\nlSJyMHA8sBq4VFXniMgY4EpgS6AfOExVHxaRtwIX++ouVNVjhl3RNmBRRMPoHXpWzCZJmmBETFJx\nMitSlqYAGSa+J4VcspanSBMJSI6QxhP8q4kTJBUh8ypU1iIWMQEGJvWfNm2HCoGAPGmvWdRSfQ2E\n67hiZX/F3Lhq5cblBWckrG9Zbx3OO25Sw85Q0rkL7Yj/DverWupr8vwhXbneuiSfjfi5X7mqcr22\nrPrkvW9ZpAk0AQPP24qV/QNr+KWtq9ltqOrtqrrQ/zkPeHO1/cN7ffIn3s6SJcs4+RNvH7geYVtS\nrCNL2CY+Nuxz0QmTh5Qbi58k/wXibZdFgiOhvPgfMGRb+HfRCZOrHpvnX6h7sJcnf+Ltqdcp/pcU\ngbnohMlcdspQgZtwLWIxm7iel0UiJpedUnmNLzph8pA65GlvvE98L+Lfg/C8hzLCMXF70q5NEG6r\n55qnPRtzZkxJrUfav+RzGLcveX2S1zOtLkGQJz5v2juQvBZp9Ynfhfj5Du1LPj+h7uGeZN3X+O/L\nvKhR/HwOBz/3eSbwCwZ90DOBb6vqJOAfwOEiMh74EvAeYHfgBBHZEDgIeE5VdwPOBs7xZVwAHKeq\nuwLri8jew6poGzAn0TB6i55NPaWOFIo8aanJ/dKEPZLRrKzUobzkFSCpRyAntCPUMev75OLJ1dLQ\nGmlDNZLtSK5DmHc+ZdocwVKJ1HlAkJ062WjqQd7Uv7T7lyQrlTnv/ci7jmJyPly7qLVWZ7eI2QRE\n5KvAEj/yfx1whqr+WUQ+A7xRVatFFLsmvatRipCOU4Q2QDHaUZA2NGybRGQ0LoNrBs6uXCwiDwGi\nqqtE5N3AicBFwOGqOs0f9x3gJ8CBwFWqeruIjAIeBbYF/qaq2/h9Pw7soKonVqlKx2xTnqkXeSnI\n82Rt6AKK0AYoYOqpiLwaWARMVdUFPiXjv3CpFs8DB6nqS52oW5LYuCUFaWKF0VZ1ukOUrx5qpZvG\n83EaTY9tJvVcx2TaajLVM6ztF0SNYqcrTVCoFSRl3MP9iOuapaqbNgDRbOq9BvXOeU0jKRTV6Wcu\nC99h+y6wCfCKdwy/AlwhIv8GlgGHdbCKhmH0GKraD/SLSLx5vKqu8p+XAJvi5kIvifZ5Otr+jC9r\ntYiU/bbnU/btOiyKaBi9S6fmKJ6HS7UIXAicqKp3i8g3gEOB2c06WaxEWm3OVZbiXTVa4XjEc8Ti\nOV71LHaf9zzJeZjtjDLFNHrerDmVK1f1t3yuZVZEM+vZyaprMmW2kQGI846bxEe++JOBesVlx0IT\n9VLPnNdaJMWMulH1VFV/S3pq6f+08rxJhcnhUkvFc7g0q771PudhECVOi2+kfWlKv9XKaKSe8f55\n1VfTSFPRHQ55r1faPc6qb57f10bVZJtBVpuz5rt3YO3ELOtcz/ZcU4mGM/ezEfb7wo2Z382bObXh\nctvdjlZgbegOitCGVtL21FMRmQLsD6wDXKmq80VkfVV90X9/MjBGVc+uUVTbUiha9WOWFfKulgI7\nXLXBUD5UdpIaVf5sRuppvT/IafUPnZQ02fS0dNThtiFZn7ztiZc6aMa9DGSlnjbjWjfzXqWVGyLb\np03boWtST4dJXbYpLT14OGSpGNdz//Ku8QqN17dee5amWp21Zmm1NuRVKW5GPZNqmtXUV7PmzA9X\nlbmR8tLucVZ980ztSLNPzfo9q0VWm5Pb4+yTtHY0wzZ5NeWQevog8AZVXSEik4HP4jKrjlLVg/z+\nc4DrgY8A31fVW7ywzcPA1sCDqrqV3/cQ4E2qelKVKrQ19bRVkcQipAtaG7qDIrQBCpR6KiJjgdOB\nqbgoYhkgchLHA9NwRrFriJe0gNauCRjKTztXs1JdOy0eMtwoR/KYRudqdpKksmirCGuoJT/nZTj3\nqlo0Mo7yr1jpor9nz72XC6bvUXcdDcMweoQSg9HAW3F9nauBA4Cbgd8Bl4nI+jh1011wCqjr4eYp\n3gLsB9yuqq+IyCIR2UVV78QNwF/YzsZkYammhlEcWhZRFJEjgCMTm28GHlDVH/m1ya5U1fl+//HA\nTbgJ29/LcYqWVPykCxcALpUvuT2MiG6/1YZDvu91strdjXRjXfPUKfkMBZrVjo+e6lJPr/3avgPb\nkmk/82ZObdv1++ipP+GlFS5isNa40RX1CqS8VyMuogjdl3paa5S1F1JPa63xGh/Tzamnw12+J0kn\nUk/7+tbl87PuGHLeXko9HaaYTcXcZ+BZYG/ckhdrAo/glrzoF5EDgJNwfZwLVfX7XsDmMuC1wMvA\noaq6WEReD1yCSzv9bQ0hG2hDRLEdTmIRokDWhu6gCG2A1kYU25p6KiK/BoIm/3a4SdsfAf6OcyKv\nUdUrchbXdINXa4H4ZqYAQTEe0Ha3oZfvQ7NTDGOyUk+T6V1xJLPV83CqpXxBeid9JKaediNmm7qH\nIrSjIG0w21SDdkUSC/I8WRu6gCK0AVprn9q6jqKq7qqqO6nqTsBPgaNV9QHgFOCXdTiJbWe4a8sZ\nlTRrPchW08x6xmIyjQjLVOPRfw2mlcZCR1nreLaDtHcmXr8zdhDtnTIMw+hNDv/67ZZuahgFpVOq\np0mOAR4RkT3937er6lntrkStNC3rzDaH4ShptkrFMY1mKn5CpfBGrGbbDLaasN5ARDE55zH+u53X\nL+85unkuabvotWuQJ2WyFTQ7RTfQquvf6tTKdj83vfac5qXVKsFFxhxEwyg2bY0oxqjqYaq6wH+e\nqKq7qOoe/l/bncRAt0Q3jp41f6CTYVTSLfeomzjvuEmpEe9ui+Alo4xp9Rtp9No1CPO4yuVBh7Ed\nxB3Sap3TemnV9Q9p32Fd12bT7uem157TvMTtOnrW/EK2sVWYk2gYxadbIopGRDyvrF2LxLeTXhm1\n7bZ61qpLN9QxD71ST8MwDGMotQZqzEk0jOLQsYiiMbJpZlSrldHXboleNjqa3+1za7u9fu2g167B\n5adMoVTKXvuvVcSdz2Z2RFt1/Vs9P7jdz02vPad5ids1e/rkQraxmdSKIpqTaBjFoq2qp02m0MqC\n7ZINHy6dVoxqxqLN7WxDM9YkzJBuN+Wu7qHQtqlXKEIboBjtKEgbRrxt6pZU04I8T9aGLqAIbYDW\n2idLPe1Sut1BNBqj0VHqbkuDNQzDMEYO3eIkGobRXsxRNHqa2dMn90z0dbg06iCag2kUhVa96/aO\ntJ5OXuOR8hvRCsxBNIyRjc1RNHqe2dMnWwcgg6IqFRojj1apiNo70npOunBBx65xq9Vni4w5iYZh\nmKNoGIZhGIZhDGBOomEYYI6iYRSGs+feO2S0vqhKhcbIo1UqovaOtJ6sdV7bQavVZ4tTIg3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vJq4Engfap6q4i8A7cEw1tF5P8BJ+Cev7uAw1X1ZR/VmuW3l4Av457fGcBKEdlAVU9K1CX1Xa/2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\n7GPA6IF8UXf1jLt/v+B1sfrpu8B3B1Kmi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TeamRegionRank2nd Round3rd RoundSweet 16Elite 8Final 4ChampionshipWin
Kansasmidwest2100.071.41555.34344.42935.55728.4422.414
Kentuckymidwest1100.069.10750.64437.44618.89113.7889.643
Arizonawest2100.065.02243.25129.62619.51512.8016.535
Wisconsinwest1100.064.47643.06629.0917.77511.2015.467
Virginiaeast2100.065.07642.90128.13117.70610.585.127
Villanovaeast1100.063.79542.21327.54617.29910.2034.848
Dukesouth1100.063.06640.64525.9615.9246.7313.64
Gonzagasouth2100.062.55737.86924.01914.3326.1573.354
Utahsouth5100.054.83133.95818.60310.6844.1712.105
North Carolinawest4100.055.79835.16818.0599.1034.6481.857
Oklahomaeast3100.057.55832.8916.6028.6994.4761.856
Iowa St.south3100.058.43532.38717.0029.0793.5191.74
Baylorwest3100.057.42533.14316.3568.7034.3281.714
Northern Iowaeast5100.058.36233.24616.9668.6874.1481.653
Notre Damemidwest3100.058.97333.14612.235.8883.0641.459
Louisvilleeast4100.056.57230.94815.2017.3493.3291.289
Wichita St.midwest7100.055.02219.55310.7315.0572.6141.235
Michigan St.east7100.053.36525.01213.6426.6373.0411.157
Ohio St.west10100.050.9723.37312.86.2412.8761.053
Georgetownsouth4100.056.35127.24213.7276.7352.3861.046
SMUsouth6100.050.54526.66412.966.3182.1970.98
Iowasouth7100.053.95926.80313.7636.4462.2730.979
Xavierwest6100.054.00225.95811.4225.5322.5410.936
West Virginiamidwest5100.055.43930.48713.0264.7332.1870.896
Providenceeast6100.054.01727.97512.2825.7362.4170.88
Arkansaswest5100.055.04325.75311.9975.2292.2750.845
Texasmidwest11100.051.71325.8289.1074.1721.9380.84
San Diego St.south8100.049.11622.9311.0335.1811.8530.755
VCUwest7100.049.0321.1879.9274.5231.9950.744
Marylandmidwest4100.053.5326.13210.8374.0561.820.735
Butlermidwest6100.048.28723.8388.2273.5931.6880.694
Davidsonsouth10100.046.04121.64610.6424.8711.6830.678
Oklahoma St.west9100.050.85722.45311.3434.6821.870.671
North Carolina St.east8100.051.91422.43911.074.8131.8960.611
St. John'ssouth9100.050.88423.05410.4114.4421.4960.575
Stephen F. Austinsouth12100.045.16922.3679.9574.3681.4390.568
Georgiaeast10100.046.63519.3369.6234.4991.5970.567
Oregonwest8100.049.14320.5189.9074.1441.6780.559
UCLAsouth11100.049.45524.06310.4534.3881.5750.554
LSUeast9100.048.08620.59.8424.1911.7080.551
Mississippiwest11100.045.99821.0018.2993.6231.440.541
Cincinnatimidwest8100.052.30820.08210.1163.181.3820.541
Daytoneast11100.045.98323.1059.3063.8981.6390.495
Purduemidwest9100.047.69218.4078.3112.9911.2160.453
Buffalomidwest12100.044.56122.6168.6812.7641.0990.392
Indianamidwest10100.044.97813.8465.7452.2690.9280.344
Harvardwest13100.044.20221.1217.512.6020.9980.339
Georgia St.west14100.042.57519.8987.4772.8941.1470.321
Valparaisomidwest13100.046.4720.7657.9222.4610.910.286
Wyomingeast12100.041.63818.2847.1232.6520.9270.268
UC Irvineeast13100.043.42817.5226.9752.7260.9650.263
Woffordwest12100.044.95717.9586.9142.2970.810.241
UABsouth14100.041.56516.8866.0772.0330.6730.222
Northeasternmidwest14100.041.02717.1885.2381.8670.6260.182
Eastern Washingtonsouth13100.043.64916.4335.6051.9680.5270.168
New Mexico St.midwest15100.028.58511.2584.2931.5660.4870.165
Albanyeast14100.042.44216.035.1831.7090.5420.151
North Dakota St.south15100.037.44313.6825.0841.7910.4990.145
Lafayetteeast16100.036.20514.8485.2771.5780.4620.142
Belmonteast15100.034.92412.7515.2311.8210.5310.139
Coastal Carolinawest16100.035.52413.9635.181.7460.5380.138
Robert Morrissouth16100.036.93413.3714.7041.440.3720.1
Texas Southernwest15100.034.97812.1894.0931.3910.3930.085
Hamptonmidwest16100.030.89310.8673.6610.9550.2620.069
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