{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Example of generating contour plots from random data.\n", "\n", "I'll start with a random set of points, with a distribution I know so that I can understand what the contours are enclosing, later. \n", "\n", "First let's set it up! " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Here's our data - x and y.\n", "sigma = 1.0\n", "mu1 = 0.\n", "mu2 = 10.0\n", "samplesize = 2500000\n", "x = sigma * np.random.randn(samplesize) + mu1\n", "y = sigma * np.random.randn(samplesize) + mu2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def gauss_func(x, sigma, mu):\n", " return(1 / sigma / np.sqrt(2 * np.pi) * np.exp(-.5 * (x - mu)**2 / sigma**2))\n", "def gauss_func_2d(x, y, sigma, mu1, mu2):\n", " return(1 / sigma**2 / 2 / np.pi * np.exp ( -.5 * ((x-mu1)**2 + (y - mu2)**2 / sigma**2)))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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0RYIgCBGLhFeE/k1qKkMqJSUUHBJaEQRBcAwRHUL/JzW1f4mN8nIRUYIg9ElE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\nz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vJuq1Ufl5fH72QkQiE8YQLwta8BTzyhczh27dL5IHPnUlz7/fSKLFqkq11OP52hl/jQ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\nvxdKSYlPfHUho8pKhklOnuRx2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# definitions for the axes\n", "left, width = 0.1, 0.65\n", "bottom, height = 0.1, 0.65\n", "bottom_h = left_h = left + width + 0.02\n", "\n", "rect_scatter = [left, bottom, width, height]\n", "rect_histx = [left, bottom_h, width, 0.2]\n", "rect_histy = [left_h, bottom, 0.2, height]\n", "\n", "# start with a rectangular Figure\n", "plt.figure(1, figsize=(8, 8))\n", "\n", "axScatter = plt.axes(rect_scatter)\n", "axHistx = plt.axes(rect_histx, sharex=axScatter)\n", "axHisty = plt.axes(rect_histy, sharey=axScatter)\n", "\n", "# the scatter plot:\n", "axScatter.plot(x, y, 'r.', alpha=0.3)\n", "\n", "# histograms\n", "binsize = 0.1\n", "xbins = np.arange(-4*sigma, 4*sigma, binsize) + mu1\n", "n, b, p = axHistx.hist(x, bins=xbins, normed=True)\n", "ybins = np.arange(-4*sigma, 4*sigma, binsize) + mu2\n", "n, b, p = axHisty.hist(y, bins=ybins, orientation='horizontal', normed=True)\n", "\n", "# add a line\n", "axHistx.plot(xbins, gauss_func(xbins, sigma, mu1), 'r-')\n", "axHisty.plot(gauss_func(ybins, sigma, mu2), ybins, 'r-')\n", "\n", "plt.setp(axHistx.get_xticklabels() + axHisty.get_yticklabels(),\n", " visible=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make contours, you need to know the density of the points in bins over the space - we can use numpy histogram2d to do this. Then we can make a contour plot from the histogram data, but we do need to do some work to understand what the contours mean." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.146832286006 0.159154943092 0.25 1.0\n" ] } ], "source": [ "# Histogram the data.\n", "binsize = .5\n", "xbins = np.arange(-4*sigma, 4*sigma, binsize) + mu1\n", "ybins = np.arange(-4*sigma, 4*sigma, binsize) + mu2\n", "# H is the histogram - normalized to have a sum = 1 / area_bin\n", "H, bx, by = np.histogram2d(x, y, bins=[xbins, ybins], normed=True)\n", "binarea = binsize * binsize\n", "peak = gauss_func_2d(mu1, mu2, sigma, mu1, mu2)\n", "print(H.max(), peak, binarea, H.sum()*binarea)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zhtdeo0RB0qhr1vC7LS/nMGb5rgbiL2DCcZg2phINIYcjR0gmTzzBcQZmROos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\nAjlT1toDAHJU24qSwvVrcQO0tXXy3HuqE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Contours, with level values that correspond to values of the histogram.\n", "# We'll make them 1/2/3 sigma contours.\n", "# The definition of \"1/2/3 sigma\" is .. interesting .. here. \n", "# A contour at a distance calculated by 3 sigma will enclose 99.99% of a 2-d gaussian population.\n", "# However, we usually mean \"3 sigma confidence level\" of a 1-d gaussian -- i.e. encloses 99.73% of the population.\n", "# Want to see the difference? \n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(121)\n", "plt.plot(x, y, 'r.', alpha=0.3, zorder=0)\n", "pops = [3., 2., 1.]\n", "lvls = []\n", "for p in pops:\n", " val = gauss_func_2d((mu1 + p *sigma), (mu2 + p * sigma), sigma, mu1, mu2)\n", " lvls.append(val)\n", "CS = plt.contour(H.transpose(), origin='lower', extent=[xbins.min(), xbins.max(), ybins.min(), ybins.max()], \n", " levels=lvls, colors='k', linewidths=2, zorder=10)\n", "l = plt.clabel(CS, inline=1, fontsize=9)\n", "\n", "# Contours with level values that correspond to the equivalent enclosed amount of the population.\n", "# So we can see - this works.\n", "plt.subplot(122)\n", "hvals = np.sort(np.ravel(H))\n", "cumulative_pop = hvals.cumsum()*binarea\n", "pops = [99.73, 95.44, 68.26]\n", "#pops = [99.99, 98.38, 60.68] # equivalent contours to above.\n", "lvls = []\n", "for p in pops:\n", " idx = np.where(np.abs(cumulative_pop - (1-p/100.)) == np.abs(cumulative_pop - (1-p/100.)).min())\n", " idx = idx[0] - 1\n", " lvls.append(hvals[idx])\n", "lvls = np.array(lvls)\n", "\n", "plt.plot(x, y, 'r.', alpha=0.3, zorder=0)\n", "CS = plt.contour(H.transpose(), origin='lower', extent=[xbins.min(), xbins.max(), ybins.min(), ybins.max()], \n", " levels=lvls, colors='k', linewidths=2, zorder=10)\n", "l = plt.clabel(CS, inline=1, fontsize=9)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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TCF0xg8ccy+MB3n+fIaz6er6WnNx6fo7yeIQQUYjEjBBu050CIfBYxcVAaiow\nejSwciVgWcCoUQxrFRYCmZmHi6vAPJ49e/hcYiZy5NUSokuQmBHCbbpTIAQeq7aWtz17KFwAPq6v\nBxYvDu2lUR7PkSOvlhBdhsSMEG7TnQIh8Fjp6cAllwDNzS1zZioqgBUrQouraKzEGyveDnm1hOgy\nJGaEcJtIBUJnDNptHatfPx5n1arw4iqaKvGWlQHPPksBlpkJzJoVPbYFI6+WEF2GxIwQ0UBbAqEz\nQxSRiJEJE3iflxe94gBgbk9BAZCRwUrJ06YBkya5bVVootGrJUQPQWJGiK6mMzwq3RWiCBZNeXmd\nt9+uGsRtu+V9NBNNXi0hehASM0J0NsG1WyL1qLQ24Lc3RHGk4uFIRFNbx+rKxNe8PGDyZKCykrOy\nOkt8CSFiCokZITqT4IF7woTIxEFbA357QhQdEQ9HIpraOlZXepX69WOeTKB43LJFYRwhehkSM0J0\nJsEDNxCZOIhkwA8VogjlFQneV7iaMeEIlS8TzvsSid1dnfhqPhdNfRai1yIxI0RrtDdcEzxw5+Xx\nFmofgfv2ePi4tpZTpiMZ8MMN3tnZrBWzahX3G65mTFv7MyGb1kRCW0LFvMcZM5wp4OE+g44KD019\nFqLXIjEjRDiO5Eo/MBxkBEp2NpCfH37fppVAairFzCWXRDYIhxu8y8uBQ4cAnw+Ii6OQiWSAD7e/\n1kRCcPgLcMI8QOufX2d7UsIJq3CCqb3LhRBRi8SMEOE40it9s06ogdoMlBUVzr5NK4EJE3ic5ua2\nj1FWxn3U17ccvMvKgDlzgG3bgKwsYNAgp8pvfT23KSsL/T7CiYG2vC/hwjxt5QtF+vm2R1wEh8jC\nCab2LhdCRDUSM0KEoyO5HqHyVgAn5GO8McGtBNqTdFtVBZSUAGefDYwfz0F3yxZ6eLKy+NqgQcBV\nV/Hx4sWs7LtqVehBOlyScaTJx+3NF4rk841UXIQLkbXX26RQlRAxicSMEOHoSJGzwIHa9DqqrAQ2\nbwYuuIChoMmTncRcIPIZOcXFFDLbtgH79gGlpVw+fjy3SU8HRo50hMyIEfT2hAs3BXs+woVcgkNl\nrb3nUPlCwe+rXz/m0mzdygaX4d5rJOIi3Hrt9TaZfKOVK1t+N0KIqCYqxIxlWU8DuADAQdu2jw96\n7acAfgcgx7btYjfsEzFKZ5X/P5JtA4WQ6XU0aBCwaRNvQ4YcXl030jBHdjY9LVu2cN/bt3NQPuss\nTlMOJcBayycJd7z2hlyCxQkQut5OfT0r9WZlAe+/z2Xbt4d/r5F4x8Ktd6TeJssK/z6FEFFHVIgZ\nAM8CeBTA84ELLcsaBmAGgF0PivMLAAAgAElEQVQu2CRimc7IfeisRNCsLNpgvDHTpoVvExCpJ6JP\nH6CpiR6avn1527aN4axJkyIPIbV2vPaGXMrKHHGydi2XmVlUJn+mb1/grbfopYqLY0hs9OjWp6NH\n4h1rbb1wgjTU8uJi2jxqlMJMQsQQUSFmbNteZFnW8BAv/RHALQBe71aDROzT0VorHRVDwduHm5oc\nuL6ZAdWWJ6K4GOjfH7jiCuDllylqNm8GjjqK4axwQinU4F1TQ09RcTEwcGDL47U3ZyjwMzdJzUYU\nANzHpk1sOzB6NLB3r5OcHB9PW95/n9uMGNG63aHoaKuAcEnVQoioJyrETCgsy7oIQJFt22ssuXxF\newmVsxJJrRVDRxNBg7dvbg6fc2I6P1dWsmHiV7/auvAxU75TU4FzzqHnZ/16YNw4en+MrWVlTuJx\nKIGzfTvw+99TUGzbBvzyly1nXGVnh5923ZpdtbWHJzWb/JnCQmDePIovjwc47TS+Z4+HtjQ38/Gv\nftVS0LRFR71ogeIToAftSJpsBrey0BRvIbqFqBQzlmWlArgDwFciXP96ANcDwFFHHdWFlomYIVTO\nSnuESaTF4MINVO3xahQWAp98AiQk0MvSWufn7ds59RqgaLjqKoZu6uspZOrrgd27efvgA2DNGiAp\niaJh1qyWtm7dSvEwciSwYQMFzdFHU1jt3Ml93XADhcnChZwFlZBA8RG8r3B2BX9GeXkUYQcO8HjJ\nyU6RQCP4tmyhbZGKmbbyfiIRFIWFTKYePZqfY2bmkQmZ4NpB7RHQokNoHOjdRKWYAZAHYAQA45UZ\nCmCVZVkn27a9P3hl27YfB/A4AEyaNCkGWueKbiGw/smqVW1PAQ6e0RMuByOSEFSo4nlmeTCVlcCu\nXRQdNTUUXsDhngFTQ2bdOnpjRo50atJMmMD9fPop8OSTnOG0axdzawAKuWARN2oUC+t99BFDQhs2\nUIAsXMjHDQ28T00FDh7k/iZN4vsZNw6YPr11u0LNjCoo4DEHDGBejWU5uTQeD4WMx+MkEEdCOC9a\nqO/JrB/4nZaV0XO3eTPDYJMnH1l4qbUwm3JvuhyNA72bqBQztm1/AWCAeW5Z1g4AkzSbSRwRbSWR\nhhMn4XIwzNTotDTehxuoWiueF0hGBvNdAA7mc+cCH38MHHccMHOmI2pMaCmwhozH4+y/uJhiKDMT\naGzksoMHud+1a+mtCXz/I0bQ8zJ3LgVIRQUH3upqCo6MDC7btYvvs6KCHqSjjwbmz3dq2xi70tLo\nUfF6aVfg51tYSMHg8wHLltFzcfAgsGQJvUbjxzO0ZGZCteWVCRSfwV4wI4oCCxOavKlVqw7/LkzS\n7wUXUMxMm3ZkwiPQjvbWDhJCdIioEDOWZf0bwJkAsi3L2gPgHtu2n3LXKtGjaC05tL35MTU19GZ4\nPBzEL7kk/LqR7DsvjwP69u0UDdnZ9IosXkwPx+DBHHhD1ZBpbnaEVV2dkzPT2OjMourfn0m3ixZR\nLAQKqvHjGYpavpzbHDjA7Xbt4myjzEyKAtum58jjAXJzuY55Lx4PxZWZIm5ZFEizZvEYL73EEM4X\nXwAnnQSkpNATc+GFQFGRIx769aOIKStrPTcnlPgM9IKZGVWBhQnj4/m4tVo05eXOlPng40USqgoW\nzeb7V86MEF1OVIgZ27Yvb+P14d1kiuiNtCe/pawMePNNDpopKcAxx7RsPxA88EXaL2jWLHoO5s4F\n3nuPeSeJiRxcKysZnpk06fDBcvVqipS6OgqRU05hCAfgtlu3UjjU1tLWwARhgPfTpjk5LAsX0nti\nBvVLLwVefZXizXg9JkygqPJ4aNe8ebR9yxaKnLo65twUFHCbvXsphDZsYCgqMRHIyQGGDWspHgI9\nOCbXxMwCq6lhv6lRo/g8WJTk5/O9bNnS8rXgwoShwo0dDSkGEiyaJWKE6BaiQswI0e0Ei4lIK/2a\nkEr//sD+/Ry4wxWgMwNx8LTscANkXh6FQnExhZKpG1NYyIF87VqKnuxsipj58ylSdu+mYCktpXAw\noaW8PG6Xnk6BsnUrl5sQkPkMsrLolfnsM4aY4uMpADIzHeF28skUPWPHcpv4eAqvAweAd96hJ8mE\ndWpqHK/VqlU81t69XCcujtvGxdGbc9VVLT+TffucKsl79zpJxW+9RY9Qaipw/fW0weQh1dQw2bm8\nnF6r+Hjuo7aW7y0wZBWu4nBrIUW1NxAi6pGYET2LSEICgb2NzMybESOcQbW1EEd2Ngfi8nI+Nwm2\nAEXH3r30gJiB2HhmZsxwBt/W+jZVVzMBODub3omcHAoXk4A7bhyTfOfPpxgYMIAioamJgmXHDkfM\n1Nby/eTn83hFRRQETzwBTJnizCYyycL19RQGtg1s3EiPUFkZBVtaGuvQlJbSnpISiqQTTuD7iYvj\nzQg0gOJrzx6GxDIyuOzAAe5j4EAKE+M5Mp/J6NEMRy1cyM8iIYHCsbmZ62/fDjzzDEXLihXA8ccD\n99xDQRcXx+WzZ9OTBPA7MN9vYFG/cBWHQ33fR9qfSwjRbUjMiJ5DpCGBwN5GJSUc8GbPpkCZM4eD\nZnp6+FlK48Zx27w8emcWLmTuydy5TJBdtYqDbFYWBcvmzYcLm/p6rtvYyMG9uZnrHXssRQnA5e+9\n5yTgDhnCQXXpUoqO/ft5X1NDT45l8TZsGO+bm/k+MjLooUlKothZs4b76N+fCcaLFlEMeL08dnY2\nRVp2NoVMbS3t2bvX8f7U1lI0mVCa10vxUVdHAVZUxOM3N3P9rCzm/ni9tGXbNm6fkkJhYT6TNWv4\nfg4c4HLLov1eLwVKUxO/vyFD+D0lJ9MjFBfH45qaOQAFWV0dH8+e3baXJVRdnvZ47YQQriExI3oO\nkYYEsrM56JWUcJBNTeUg9u67LacXh9q+rIwD7r59FCMAvQvz51MgJCVx8D7uOKeSbG0tj2HsKinh\nsnXrKGbS04HTT6cnZO1aJ3RUUsL3Y1kcsNPTmYtSW0uRYHJqAL6emsr7vDwKlaQkCoe6OgowE2oK\nnBH18ccUD8nJ3Gd9vROW2rePjysqKKZMqGjHDu47IwOYOpUiYv58Cgqfj/tNS+Pj/v35vqZN4/YV\nFU4Yy+ejaPJ6nc9k715+JkaoDBjA93niiRSJlkVx99FHFEeWxXUPHaK4O/poenOWLKH9iYnA8OHM\n3xk1KryXxRQuXLGC+5w0yamlEzjFvzWvnRDCNSRmRM8h0pBAv34MPQR6YYDQ056DBy8zjfekkzio\nDhzIwbykhF6D9HQOrB9/TKFxww2s0jt3rtOJGaBwGDqU4mDnTuD11ykQ9u3j4G46YdfU8HlzM0XB\n559TIGRlOV2wd+xwvDk+H/eZnw+89hrt8vn4eVx/PYXNsmUMFeXm0oOSlEQbkpL4GZi8luRkio2c\nHAqFhga+N6+XoSiPh+9x927a19jo3Hs8vJkw1eLF3H7/fn5Ohw5x/y++yJlcffrQpqQk2pSc7BQC\nzM9nIvKOHXxt2DBg4kTg4ospqOLiGJ6qqODnsWUL7bNtbj9vHr+/tWsp6jIyDq/hU1zMz9d8PxUV\nh3cW72ivLyFElyExI3oO7QkJjBjhhB4CZ7oMGsQr+y99ycmvCBy8srM5yH72GQfuXbs4OB9/PAdD\nM3NnyBAOiCa3ZtcuCpOEBA7yRhgYEhK4XXU1PQgHDjjCxoiH2loKk9xc2rFnD4VEUhL3Z0RFWRlF\nw35/fcnGRibIVlRQJJhaMgDr2+TnO8m7AAVQfT1FU3k5Q0FmdpXXS29JfDwFlddLIbR5Mz8HgOtl\nZzNM1NhI23fv5vuPj+frjY0UOTt28BilpcyVsSzaP2QIb7m5TDo+4QS2W3j2WR534ECG9kyfKuO5\nsW3mLH36qRNiArjfFSv4maSlOYnHhuxsipxNm7ju6NEtE7sLCuidaq0pZiR0VvNSIUQLJGZEzyLS\nZoOhBpUZM+itGTaMYYxwHZ2PPpqD4rRpnMlz1FF8beJEDvx799Izk5gILFgAvPEGxY8JZxUX04Mw\nbBhDJeXlzB9ZvtwJSeXkcD3bdrwuts0BessWHqO5mQN5YiJzbUwPKCNoTJ0Vr9cpeOfz8XWfj+sf\nPOiETxITub6ZGdXQ4OTQ1NVxWVIS79PTKUyKi5kzZIQQQKGydi1fb2x0jpWSQtFWVUVvisfDz80I\notJSiqzkZB6vpITre71ON/Af/ODw2UjGG2eSjMvL+fkWFtLOsjJHbJWU8FgmTypwivqsWfxOAcdz\nE5gsvno1XzPtF9qLvDtCdBkSM6J3ENwAMNSgYqZPm6TdwI7O2dnOYHTggFPuPysL+PKXncEyPp5i\nJCGBHoX167m8vJyeGI+HouS445iounkzB/HsbA6YY8Zw8D/6aL6eksLlgfh8jpfGhIlycihYGhud\ndeLjeTOJvfHxFAvGg2LYutXxoAC0tamJ2zU08Bg+H99rSgqFxoABFFTvvsv3avJlACdM5fG0FDle\nL/dRU0PBdPAgj2nCakbgeL3OtPeKCnpSioq4rZmqvXSp0/9pwgQuM/VqVq9mKM2IpzFjWH9nzRoe\nc/BgfkfBYaTi4sPDT4E9mwB6gCZNOjIRomneQnQZEjPCHTraXTjSKdjBVWHj4zn4tVYJds8eXn1f\ncknL+jAFBRQYRpTU11OwlJfz+YEDDFPExVE0FBXRW5CZSVFTX8/9mGnbmzY5OSYmkXXrVgoZ46mo\nqTn8fTU1OeLBFJDbsYP7SEtz8mxM36PUVOc5wHsjXJqbKVjMfhMS+Ni2neXV1Y7IqK7m+ygq4uuF\nhfR2xMdzX5blhNIyMlp6lxoa+Fn178+co23buK/A3BpTA8eEogBut2wZc4D27ePz9HRu37cvv8f0\ndEfMfPKJ49Xp08dJxs7N5edqxFe4+kBG3Ibq2RROyERyPmqatxBdhsSM6H462l04End94Dqm0J0J\nGQGhe/lkZ7csqhZYbM0MbOvWcUAdN465Jl/6El+fN4+DbFWVE4KpreWgWVjIwTwhgfeHDnGgrqyk\nXcZbk5np9CwCQg/sgJNfY4RAXR3fS2Oj42ExHg/ASdbt39/x6JjXAj0n5nMxM4xMZeO4OO53zx7u\ny7IomJKS+B6amiiijL1xcfz8cnMpArZs4XKfj7Y2NfEz3r3b6SFlREBOjjMVvaHBme31j384LRtS\nU/n61q20d+pUhtlMHR/zfdXV8bzKz+f7HjWK3hmvl88LCymAwnlMTLL3l7/MxOtx4yJvrxCuV5em\neXcPZWVuWyC6GYkZ0f0EDh4mabM93YUjcdcHrlNb2zJklJfnDGKhevkkJx9eVK2wkCGPs8/mNOT0\ndKfCbEkJPQdmGjbAAddcrTc08DiJiU4SsGXRFjM419VRxHi9FAnJyVwvMZHrBoZu+vXjPqurHQ+L\nETvG62JCPpbFfSckUEQZT044mpvpETL7BQ4PSxmxVF/vHK+ykvepqVxeWOh4XgLxevleTE6OEUQl\nJXxfBw7weXOzEyZLTKR4MVO5ExN5HGPX7t30ZhlPR12dU3unooIhqbo6Tre3LCYPr17N7YcMoYAN\nrBpsRJlJ9v74Y763NWuc5prtPR8NkeZ0iY5hLghEr0FiRnQ/ge52k7TZluu9tS7JJp8lXE+kUCEj\nc+Vmarn07csZMKmpvALftMlJOi0ro+fl0085GI4axUGurg740584IG/e7IiWtDQOuE1NFBxer5PI\najpa19XR82MSgMvK6PGJi+PgDHBfSUmOwDFCpKKCg26g4DAYEQNwX4GP6+sPFyahtvf5nIq+JiQT\nODPIYESNETS27YTFmppahrMMXi8FS0ICPy/jKUpP5zbGPiO44uIoZJqbnfo6Z5/NhOrSUq7Xrx+b\nVgL8zoYN4zLbpvemupq2HH00C+ktWMDPcOZMJ2HaJH+nplLcGiE7bRrF1ejRh/e1MrQVPtIMpu6n\nNcEueiQSM6LzaevPu73dhVvrktxaQm8kzQPr6ylo3nnHGfy3bqUYWbyYHpzCQl7JV1Vx29JSCpaK\nCl4Bxsc7M3QSEugRqK938ksACpMBA1qKhcmTmUtTUsIB09Rnqa93RILxEhgx5PFwv4GiJRRxcU6u\njBECkRBYr8bct3Us2+bxgoVLKLGVkuJMTU9KcmY7mcKAJuRmjt3U5Owf4Of05ptO2M5UB163jjVr\n1q7l53PgAL1bjY0UWIHenf79eSxTINHjaZn8HehdyctzBGeoQnvm/Ao+H03YEjiyGUwSQB1DYqbX\nITEjOpf25A9E2l040I2/ebPTQTo/n68Hd0o2A1EkzQM3b+Zzn4/hh7Q0vnbiiRQxCxfSa9PQ4BSS\nKy+np2L/fifZtabGKakPtJwdZBJvKyqcRo5ZWbR13z7Hm2FmKRls2wm3mNlIgbkzrWESbpOTO/bH\n3pYnJ/B4bWGSlmtqnLwdk6RsPGWpqc5nYLw95v2bz9FMO/d4nOJ6DzzAx4cOUeA0Nzt9sz7/nB6x\nIUOcKsFJSRSiw4bRE2NCTXv2cH+7dzvVlEMJFROeDOzvlZ9/+PkfLtm8NTSFu+MEdrIXvQKJGdG5\nhBMeHfkzNm78zZudWh+BOS3tdfMH7m/3bg6gprZKejoHqjff5MC3dSun9g4bRiFhclgGDqSoaW7m\nekZkHDjAwc2ETUy+S1oaj1NezgG6pIQ5GGY2kWlPYArkGYyHxtzaQ3y8k0QbDRhPC+AIFPN5GuFm\nvCfB2yUlcT1T+wZwPDbGC2O6cpv9mrwcgOLT5BwtW+asf/LJFJQlJTyfCgsZUnzqKe5/8mTWnwkW\nKibZeP/+lv29Aqdym4KJ7Q1BaQp3xzFi2TQ9FT0eiRnRubQlPI7EfW5CRgUFfB5cyC5U2CqUm7++\nnjkQeXktcyQWLGAIyFzNNzfTg5Kfz0F0zRpuM2IEcMYZbEvw/vtct7i4pRfGCAeTsBsXx4FzwgR6\nCAKFhelQHR/vhJFChWYCc0naQ3DybbQQKFbM+zLLQr1P08uptrZl7o7P5yQhNzY6NX6GDHH6Upl8\nGa+XYajUVK47bBhDVv/5D0Nfzc3Aj3/M4zQ1tezyvXAhCyMCLZPKTf+swP5ewVO5A5PNWwt3BleZ\n1hTujlNRwZCi6BVIzIjOpTXhARy5+7xfP3p4tm93QgEVFRwQgpsBBrv5q6o4oC1ZwgFs8GAuz86m\n2MjNZd0TM5Nl7Fh6ZCoruayigoNdSgoHrHHjmJtRXNyyLxLgzOzJzqZ3Ji6Ox87Kcq7UDYFF5kIl\n2PppBGABSIjsk4pu/O+5CkB6wPNWaW52CvkFY0JRPp8jDE3uS04OZ1SZvJvSUn6HxkPWpw+XpaZS\n6IwZA5x3HgXN2rU8b+LjeS5YFveZlkaBk5lJj82bb7bs75WcDFxwAcXMtGktKwwH0lqLBE3h7hzK\nyiRmehESM6LzCRYeZoApLGTBuGOOCT8zBAjvvTF/8iYU8PbbvII23Y0BeoMKCnglnZJCYbF6tdMy\nwMxgAZzE3dRUDmxmQCov5xTc5GReue/cyWOOHs18i5oaXpWbyriBs3Ysi3abho1VVRRIb78dPo4f\n4K2xAWwHsCzgthrAawDOPcKvIxo5FnyvJwEYH3A/AkBcqA2amtoWPhkZzqyvBQucKd6BycxFRfSw\njRlDAfviiwwL1dUBf/kLhey4cU4vLdOA03Q7r6vjeWDOhcD+Xuacrq2ldygrK3SX7XAtEoIbm0rE\ndAzVmulVSMyIriFU6Me44LdsodgJ5T5vLfnRiJzKSs5Eycx0roCNePrTnzht17Y5WI0fz5vxzJjS\n/QAHnAkTgLPOYkhi1CjmzphwwWef0fPSpw+P2dDA8v1mVpMJcQDOjBiPxykkV13NbUwYJIRnoRzA\ncjjCZTmAQ4etBWxGzxEzlQAqAFQD2AvgnYDXMgCMQ0uRMxZAYiQenIoK3q9ZQ+HR3Bx6htWBAxQq\nprlmVRWFa0kJ8Le/8RzYsoWhyNJSCvD9+/l9Gk/dwYMs1PflLzv5NO+/7yQwn3XW4QnCpgijyYkJ\nbJEwalToxqbiyAn2hIoejcSM6DoCry63bOGAceGFFDSBLvhAwiU/BoocUzkWaJkUu3UrBcOoUfwj\nGziQV+vp6dxu/HgKlU8+AV5+mXky551HV7TPx9yIs8/mNtXVFEe1tTxWnz7cn5lGbfJb4uNpQ06O\nUwelvt6Z3QTwub9uyxc+HxbDES+bQnxs2QCmBNwmA+hJw1oGKGa2gV6nzwLu9wFY7L8ZEgAcB4qb\nUwBcDSAl1I5NgnFFRXgvTlISxYpts2Cjmbru9fJ7NQX8iopYHHHqVAqU++6jMGlq4vlw6BA9M8XF\njmg3AmXPHr5eVcUwV2CCcKgaSJMmKem3K5BnplchMdPTiZZ6FeYPfO9eDuxZWaHX83gcV31gd+Lg\nir6jR3PGyujRTk+eUaM48Bw4wGMcfbSTgGnCT198wUHG6+XAtHSpM4V30yZg0SKGGVatckIMqan0\n8lx1FfDLX3JwMmKquZnHqqlx8l5MOMlMibYsLPH5cDeABUFvNwkcpAPFywgwR6YnEwdglP92WcDy\nA2gpblYD2AJgjf/2LIBfA7gfwOUIEZKqrj78YKZnlaltU1NDwVBX53y/WVkUpHv2UAzZNrc5/ng2\nFU1Pd1oxNDQ43dEzM522CIFJuzk5FN379h3e2DJcToySfjsXeWZ6FRIzPZloqlfRrx+nwT77LAeO\nwCqrgfYGuuovucR5PfBqNi7O8aAEdjkeMQJ48EEKl7596YkpL2fI6JVXeNW9ye8LaWzkoGQ6N9fW\nUhxVV1PEJCdz+cCBFCe5ufTc9O/PmUe27TR8tG0nxBHEcgD3APiv/3kmgAvhCJdxABI795OOaQYC\nmOm/GaoBfA4Km8f9j68C8AiAPwCY1tZOTWVin4/fu+k1lZjo3HJyeP40NPAcKy/nd1pRQVFsKjmb\n6d19+jAEadvM35o5k2EpE2p8/32e59u2AYMG8ZgVFfT2mQJ9pk4SoKTfrkCemV6FxExPJppc12Vl\nTu2WpqaWV6rB9hpXfWDCbGDy7+LFFCWmz1LgMZqbKWJKSuhlmTOHLv/t253cmZQU3vfv71yBb99O\nu0pLnYHOhIkGD6bdW7bw+GYasGWFDWesAkXMWwBg20gH8EMAP0LPChl1B2kATvXfbgDwHIA7AawA\ncAaArwH4LYD8UBuHqtFjCvfV1/M8NMJ140aeB6aIYXMzz7M+fej127aNQtb0oaqtpQj6+GN6A0eM\nYDK6OY9POon7HzGCAvmjjyi0x4+npydYzCvpt/OwLHlmehkSMz2ZaKpXYTpXm8aMgwYdXhq+ooID\nTGv2lpVxMOrbl7k3gf2THnuMg8aePbw6PniQV9RTp3KQ2r6d+83I4P3IkRys9u93Zr2YQnd1dRQ5\n1dXOzKX0dKcejBEx8fEtKux+DoqYuf7nqQC+D+CnAMIE1kQ7iAfwHQDfAPB7AL8DZ3q9CeAmAHfB\n/zkHCpiUlNDtHEztofp6J2kccKotAzwfSkqcfKn6ep4/ubn0zHz0Ec+9xESeX+PGUbwUFzvlCPr2\ndUKftbWOWOrIxUW0hI+jlfh4eWZ6GRIzPZlocl2buisjR1LIXHVVy1lKJhwGOMXGwk1nXbSIg0pS\nEsMCWVkcSF5/3Zl+m5nJx+XlFDyjRgEnnMBcmL59uc7xx9NrVVTE286dTk0SwCm4ZlkUO6YKbWKi\n0z/Jb/M6AL8A8JLf3BRwcP0ZgAFd/uH2PtIA3AvgelDAPAOGnZ7zP7/JtpFkqicnJPD8a24+fIAL\nbJYZ+N0DPH+GD3eSg22b50B1NfNl+vXjebVyJc+/xETgrbdYkK+ujpWGp0zh7CqA2xUV8XFqKsOo\nkRIoXoDoCR9HKxIzvQ6JmZ5OtLiuWxNWweGwzMzDhczChXTzjxpFAVNTw9vGjcATT1CgNDZy3zt2\ncD8p/jkvzc0UR9u3OzNZzjsPuPhiCqF//Qt45pnDbTYDXV2dkyOTns4/yv37AdvGJtvGLwC8ANZN\nSQJDIbcCGNRFH6VwGALgKTjer/kAfgLgLwAeAHCpbcOqrAzdo8qyKCoCWyQYsrMdr4zXy5lvXi8F\nyYABDD2Zpp9GCOXk8FytruZ9eTkFckoK69cYBgzgOuHqDgV7XTqj31Mvo8ZnYcXHX2Cy24aIbkNi\nRnQf4YRVa+EwEz5atIgCIiOD4Z/BgyluTOuEoUP/N/0ZQ4c61T+LijijpL6eg8fXv86BZPx4J9/m\n+OOZ5HnggFMvxlTuBZznlZV8npuLrV4vfmXbmAPAB04fvh7AbQByu+wDFOEYB+A9AO+ComYDGIo6\nFcAffD5M9XpD96gaNMiZSl9S4nzn1dVOT62NG53zx7KcnlcDBrDrOcBzsbiYYcsRI5wO4MXFwIoV\nThHFtDQKp8CZeoGUlTFJvqLCqTIcLPaB6AkfRyl1Cck4cf8WZwab6PFIzIiuI9K4fmtem8JCTp+u\nrGSIKSWFXpKhQ52+OFVVdOenpvIKed8+9kGqqeHgkZTEwcg0CDSu/gULKJD27uVxAvMsfD4OPmbm\nkt9Ds922cV9hIZ7z+eAFf0DXAbgDwFFd8ymKCLEAnAfgKwCeBHA3gCVgbZpvNjTgN+C09/+RlMTv\nOD3dKZpnwkxpabwvK3Omb3u9TkmB+nqeayYXx+Nx7vPzWQagb1+uM3Gik9Q+eTJFSnAPMXPOFxZy\n24wMvmZ6iQWKl9b6PQkAQE1iMpJqyykkTz/dbXNENyAxI7qG9k4LD+wYHPgccErUe73MR8jP5yDy\n5S87vXW2buWfvyl6NmYMB6r1651B4KSTOBgtXUpBs2YNlzc1cf/Bbn+fz6kia9t4DsB3ATT4fP9L\nRL0TQQOkcB0PGOq7Apzl9BCA/4CJwj8Ec5uSAQrXQ4ectgeA0827utppJGo6m1dWMswJUCibc8O0\nWjBFE1etYnXpr3zFSfY1/cQAp/WBaXQaPLPJCCpzH07sS8SEpSbRH2JevFhippcQsg2KEB0m0DVu\nPCKtYcTP/Pm8N8l7eWgyoD4AACAASURBVHnAaafxlp/PWSQARc2oUU7PnPXrKVRM88iKCt6bmUoN\nDXz+yisMGxQUcPCprnZCCKHweuG1bfwUwCwADQC+BYYxnoKETDSTARbY2wTWpWkE8CAYeioEmAtV\nWtoy8ddUdq6vd2Y1JSfz5vFQ/FgWvYE7dvAczMtjojDA9fbto7fv449ZcG/kSPYjA+gpePZZtt1Y\ntoyvV1U5v4+8PHpvBg1yEuEBCpf8fAmYCPHGxWNL1jCKGdErkGdGdA3tnRYeriZOv37MGzDNJZua\nGPqJi+N02sJCDjJVVVzXzDKKi6Pg8XicrtSrVjnhg+Cr3zBUgFf474A/lkdB74yIHY4C8A9wdtkV\nYPG9CaAYvTTc9x8owM3MmPh4p9VBYiLP6VGjnDpExcVOb66dO+ktjI+nB3DmTArxoUPZTmP9ep6r\n+/cz98b8Psz5rhBSh1kxdCzyP/nE8Q6LHo3EjOga2jstPFD81NfTs1JW5giazEwm9Bqxc8wxFDZN\nTbwKTkxkOGrMGFYatm3mHcTF0euSkODMPmlo4B9cXFyrnZi3ArgI9MJkAXgZwJmd9gGJ7mYqWMzw\nOgCvgG0UZoP1alpNEfV6ee74fM50fNtmHSMTbtq1ix6bkhJuYwou2jbP45ISnsebNzPRvKmJImb/\nfopu03E78LcSKuQqImb5sLG4Ys1/2cLkpJPcNkd0MRIzoutoz7Tw4Aq/K1bQkzJjhtPcsbSUA0F1\nNbB8OdfdsYOzVDweJgeXlzthgqVLedVcWclps4cOOSXtTVJvMHFxsH0+PANO8S0Huza/AWBkZ30u\nwjX6grWA/gLgx6CnbRGYUzOmtQ3NjDafz0n2bWzkObpyJcV2Tg4FdUICz9WaGj62LObfnHgi8OGH\nPJ9LSnjuAgx9fvABXwfYjHX58sPzzVQor12sGOqfDr94scRML0BiRrSfrvpTNR6Y5GR6YDZvZg2Z\nnTvpTWlqojhZvJiDSkUFEygTEvh86FB6Zkb4M1kWLeJ28fEcWDyeloW0LOswQbPZ58N3AXzof34x\ngOfB/AvRM7BAj8xUAN8EUAR2Km+V+HieK6mpTg6WbbN2kZn1NnQoz8/kZKdVQkICE1D79+fsudWr\nuTwzkx7GpCTmzRx1FL2LdXUMT40axQHYhFyB0An1oWrSSPAAAIoyB9DrtXgxcPPNbpsjuhiJGdE+\nOtq8sq0/XxNu2ryZs5Nqa52p1cXFLfsqmZkoiYkcWEpL+ee/cyenwq5Zw/3btjPbJJAAIWOSQ+8D\nk3xzADwMdmbu6R2seyuTAHwBYD3aFjMvAJgSF4cRqakUIwcPUtAATgXhujoOnjt38vzs25e5XH36\nOKUCVq/m+WrKADQ10cNTVMSwaEMDn5eVObVpTMPL4JwyoOVvccYMNrhUZWCHadPo9TLfkeixSMz0\nFjrriq0jzSuDhVC4P98ZM+iR2buXf/LmSrisjMuamrieScI0PW8OHuQV7uef053v8zkDRnX14fkx\nHg8wciQ+3bcP/6+qCuv8i78N9vxRL6WeTyooatqiFMC3m5vxo8pKXDxoEMVFoJgxnsNVqxhuqq2l\n18ayeN4a0VJXR0GekuIsS0vjoGs6tx91FD03SUk8zooVTtiqttYpuFdYyN/DMccwvLp1qyoDBzNt\nGit8m5YmosciMdMb6Kg3JZCONK80QqhvX1ZKXb265Z9vYSH/xCsq+Eeem8v9l5U5vW8aGujKz8hg\nSGnbNv7Bm8TMDz90ptqa6dih8mMSE1Hh9eL2rVvxV58PNoBRAP4OYPqRfTKiB/M9rxeTANzf2Igz\nGxuRaYopGmybwqS+nvkwTU08/zIyuNzrpZAB6E1MSKDoMSUBSkrYpmDtWv4Gdu3iNrt3s57SunUU\nObW1Tk+nxYsdD+akSdzf0qUtBU9vZ9o03i9eLDHTw5GY6Q10xJsSTHtmKYUKIdXXsxlfQwNFi/nD\nra93cmH27OHrhw7xtb59eSVbU+NMmZ08mQNBbS2Tgk1RM1Pp1+NxSs+bWSgBzG1sxE0A9oI/gls8\nHtzZ3IyUI/tURA+lGZzWfQqAfAAlACq3bkWmJ8Rfp+nTBDihT3M+pqXxNVNa35yPffvyHB0zBjjl\nFNZKSkriOZuXx9/CF19w23Hj6IFpbuZvIDmZycKbN/O15csZmjKCp7d7ZQDg2GMZ8lu8GPj2t922\nRnQhEjO9gY54U0IRySylwC7XtbXskj1iBK+UDhygUNm5k1erxx9PYbNqFa9QN2ygjSNH8o89JYVF\n7urreUXb2Mj9btvGMJQpYmYGDsDpozNgAAeA6moATPa8GawGCwBTADwB4IRwRfN6AJUAVgJYAeaH\n2GAvKXPzBD0Pd/MA6APgRAB56Nm5RBUAMsH3XAqKmdlgnZph/hlxRh7/73Mwns+4OKcPlGlAefHF\nDHc0NvKcHj6cyysrgeOOY2+wPXucHJnCQnpjxo0Dpk9n/ld5ecvfb3w8lxlPpdfrtE3o7PM5VhOL\n4+KYgK3ieT0eiZneQHtrvnQGhYVO873qapZunz2bV5t9+vBqsrSUf+5/+xtFyo4d9LD06cMrVI+H\nV7CmTUFcHP+0LYt/9MYV39TEK+FgbJsix//aInB2UjmAdAC/Acve96RyWvUAPgOFi7ltAhBiEnqH\n6AdgMoCT/feTAQzu5GO4hQ2K3Q1gO4SfANgC1qUZDM50Swcw0b++FwHnkMnLMl7BpCQ+3rzZ8RA2\nNlLMZ2YyHNS/P4W7CcGuXs3Xamu5zfjxvAX/fgN/0wAvBsI1a+3Ib78zw9RuMG0a8MYbrOkzSL3s\neyoSM72F9tR86SjbtwOvvso/5dJSXl2mpvIPNT+fXhpTXCwlheXffT6KmIMH+ae5cSOnpu7cyT8h\ny+IffU0NBwNT/M7j4XOfz/HKBOLvdP06OA23AcC5AB4HMLR7Po0uoxnAWjiipQCcnRN8TZ4AdpWe\nDOAkAIkAmoJuzSGWhVpeBnp5DoBdqt8LOM5QOOLmZHCwz+y8t9ttWGD7g++D4verYOPKkQA+B9Af\nwKdgV+6fgULG9m/3v/wsU5TR9P3asIHixBRvHDaMXsMxY4CPPqLnsX9/YOxYnuPV1fTeZGU5vxug\nZVuQ1sSNWdaWEIlE6HRmmNoNzjyT9889B/z8566aIroOiRnRuZSV0QuzbRv/rAH+IZuExLIy/rnP\nmgW8+SbDTGvXUsSYkvEJCY7HxePh9o2N/AM1npbaWoocU+/DJPsGz1iybTwF4HoAPtAT8yhi0xvT\nAHoMPgXFy2rQExNIHFjkb3LA7US0UeG2ndgA9gBY7rdjOSik9vhvrwasOwaOuDkZFFWdaUtX4AP/\nGB8D8BxYY+hBcObT9QDOAMNQ/QF8AlYTbnE+BXpngBbeQTQ3O7OUmpspYmyb5/aQIfTYDBlCYZOe\nznPa4+F68+ZxG4+HFwfJyS0FSqgLltaESKQel84OU3cjw299G7Bt/D1/Ks684y6ctzUThVnDAAA7\nHjjfZetEZyIxIzqX4mL+0WZl0fsycSKTEbOynOq+5k/4qqvovSkqYtjIJPgeOMD8l+HDOfXU5L+k\npPBPfuNGDhDmCtj0XQkSMjaABwDc7n9+j/8Wa7kePrBC7e0AdgS9loeWwmU8gLQutscCMMx/+3qA\njZvgiJsVYLhro//2D/96qWDuyS2I3qnvceD7iQNwrX/ZG2DxxBv8z/8C4Hwwl6YOYT5zr9cR5aZh\nZVoaz+HmZgqaqip6aerq6IU0OTD79jnTtefOpXBfuJD5ZUVFnNk0fbrTBiGcp6Q1IRKpx8WNMHVn\nYlm48ys34f2nbsSD7zyCy678LXxxsXg5I1pDYkZ0LtnZvKIcOZLx6auuYnjopZf4B715M3DBBfwT\nLinhH7jpXWNKxXs8zBnYv59XtEcf7RTOmz6dg8KmTRQ427eHDC/5wHL1j4CD76MAvte9n0SnsBAM\nZaz0Px8LFvKbDNZH6e+SXcHEATjWf7vGv6wBDHsFenDWg16Ov4Hfz48QndWV44KefwnAv0BxcxSY\nN/MOmDsDOOInLF4vz9fMTP42Dh6kUC8r4/IRIzhDb9Uq/l62b6d4N6Jn4ECK9+JiCo+mJgqdSZNC\ne0oCw0fhhEh7PC7dGabuAg6l9cO9Z38XD7/1B3y74A08dfLX3DZJdDISM6JzCXUVt2WLM9Ni0ybe\nEhKAZcuYxJuUxKvDvn35h33oEEVMeTlrzRw4QGFUX8+S8Pv2cQAwfZiCaAQL3/0LzBeZA+Y3xBJr\nAfwcHDABYAiAX4GDaaxcUyaBgiuwKF0BgDsBzANwL4A/A7gV7GgdrdPifWDuzwsA5gI4HvTQpMMR\nMa0KGYMppFdRwfO/osKZ+VRXx99CURGnYsfF0Vs5ZQo9ndXVFELmt5Gby9u4cYc3pAwVPjI5N4HE\nuselncw97kycv3Exfrb4H/hg1MlumyM6GcsO1Wwvhpk0aZJdUFDgthkikLIy4NlnmYzr8dBVPmcO\n/8BXr6bbPTOTy0eO5BWrZQHr1/PK89Ah/tm+8AI9OPX1FDemVk29kzlSA4Y+5oGu/9cAnO3Kmz4y\nisBQ2DPgQJkODvY/BEM0PYVFAO4A8LH/+WAAdwH4PzBBOdpo0/PSGvHxLb2Hpt5MfDw9LMnJXJaT\nw/V8PhZ4GzkSOP98ejrnz6cY2riR6zU18fU+fei9ychgHlq/fsyveestpzLw2WeHFjMxhGVZK23b\njqRYMwAgaXC+Pfjahw9bPqCqBO8/9T1szj4ak3d+7oSoRdQS6Xd/xL9P0UsoK6Nnpays5eMjwTTq\nq6jgH/PAgfTGmFlKxn2ek8PKp/v3A//5D13vL75IkVNbyyvZ/fv5OGCQKAFwFihkcsAQTawImUrQ\nY5EP4CnwhzkbQCGYK9OThAzAJNpFAN4FMAHAPjAMeAyYdBtiXpqrdOiPMjgMatuOiDHF94xnZu9e\nivSDBxmCffpp4PHH2TR1wAAK/9xcznqaMoXem507gf/+lwn127c7lYHfeotCP3iadkd+wzHOwfQs\n/OLs6zG5aD3w6KNumyM6EYWZRHgC3dXG+xE8gyISTLXSUaOAzz5j76T9+/nHnZzMP+aiIuCii3iV\nOXAgvTG7djFpuLSUiZI+n5Pk29joDApg7ZgzwJyMo8Epw6M799PoEjaC4uUZUIwBwKUA7geFTU/G\nAnAOgJngDKi7wNous8CGn9eCU6SHu2PeEbMNnMYdlsAmkwkJTsPV+Hie//37M2F+7FgKkpoaip3i\nYrY2OOUUCprKSoaf1q2j+KmrA5Ys4WumMvC0aeHDTzNm8Hi9IMQUyKtjp+P8jR/jrNtuo+dLbQ56\nBPLMCBLqii1wtkNlJT0qQ4c6LQUi3ZfHw/U/+IDFq7ZuZfG8yZOBu+8GrruOib3NzRRNdXUszb51\nK0WL6b2UkNDyOH4h4wOTTtcDOA7AEkS3kKkB8CyA08GE2d+DQuY0cNr1S+j5QiYQCwwNfgF6ZUYA\n2AqKmxFg8u2T4HToaOcO8NxbGG6FuDjeAJ7nAwc6ZQtMv6bjjmMY9dNPKVIqKhhOqq9nvtg//8na\nNJ9+yjCS8ebs2kUBs2IFlw0ezN+ZIfD3XFXFUO/8+RQ4vclTY1m4feZNzD36zncOL+cgYhJ5ZkT4\nehOBsx0y/HNO2pr5EK4zdl0drzJNB+GDB3lVlJvLP9y8PObPvPQS8Mor/DM2FVS9Xv7xJCc7FVQD\n+A2AN8GqtG+CybLRSAk4QM8BUOVflgbgWwCuA+uwxNq08c4kHhSlVwCYD06FnguGoxaBbSi+DuAh\nAANcsrEtLDBEdjk4Nb1FvVmPxynumJjI+0OHOF376KMpbJKS6L3MyHC6YNfWUqz07cvn27cDU6fy\ndzRiBL0zhw7xd5GezmUjRtCLE272Um0tQ76xWgivgxxIzwYefpj9mv7yF+Dmm902SXQQiRkRvt5E\n8GwHs257qoWaP2QjROrreb9/P93jr/pLrE2Zwrj/Bx/wj7a2lq74Pn04ADQ0tOzN5GceKBAsAP9E\nG+59F1kOlsPf5X9+CihgvoGurwsTa3jA8NM5YC7Rq6Cw+RD8jheDid0TXLKvNe4Fk5o/AkXZ+wiY\nfRbYL8mcw3V1PNfLy1kNODnZ6Rpv2h+YJNXG/8/eeYe3VZ5t/Hdsee9sh2xnMEIgQAiEESAJexUI\nu8wWKA2UUqB0UFpGy2jhg9LFamgZZZa9AgSSkgSSkIQA2TFZZNnxim3ZlnS+P269ObIiO3Zi68j2\nua9L15GPjqVXst9H97Pup17PYaIwAweqQ7C6WvsxEND1pt4mGpH72eeTk9EBhfDaDJdeqlq8W2+F\nk09uHMXy0OHgkRkPzetNROtL7Mp7i36uoUPlSfr9MrZG0bS+Xi3aK1fKQ5w5U0a4pmbHCAIyMpx6\nAvO7Ed0H36IvDBt9iZzUJh9G28JGAms3onEAh6IamZFuLqoDIRfV0FwGFKO/9xyUonsCRUASCT7g\nOTQ2YjpwB/A70P+tbTspDfN/7PeLtAcCShEZtevaWu0Lo2ydlKRrFi3SJGijPdOnj7oAg0H9zief\nSFAvFIodbYncz12oLTsmLEvF1fvtB1deKUcqyau86KhICDJjWdaTwKnAFtu2R4bP3Q+chmRDVgGX\n27Zd7t4qOxhaM1yuLfUmYj3XpEnKz598srzBtDS1WOflqQbApJPq652ZNtXVMsjbtzuFvrYtgpOd\njX/7ds5GE41PRtGZREMVir68EP75OlQfk4itxx0Bg1F05lrgSURsFqJi6URqsC1EGkeTkDbQkSkp\nTDJzmgwMuQkGHZJjiuRBRcA+n3SVNm/W4ykpiuD4/UpFzZ8vley0NBg1Si3Z69er+2/wYClvN4cO\nLoTXJujXDx58UGTmb3+DH//Y7RV52E0kCg2diqLKkZgGjLRtexSwHPhFvBfVYWHqVlpT3FdQIC2K\nlhi3WMXCkedMvU1JiaIyJvpy0klwySWqlcnLk1Guq5ORX7xYnmdmpsLn2dky3n6/00llWTL8qal8\nZll8hdJKT5M4/8gGi5FY3AsojfQ88DAekdlTpKFi4D8jAnMf8oISrXx1AvAbFJm7qKGB7+rqGhea\nGhJj5jcZYtOtm4jIqacqUpmSIrICTkRzyRJFYUzq1hTIBwL63eHDlTKJTGt5aBqXXw4nnKAhlMXF\nbq/Gw24iISIztm3PsCxrUNS5yIG8c1DHqoeWoLVTblsTxYlVLAyNzx16qDQvQKmkESN0rKlRm3VZ\nmTzK6moVOtq2jHNWlshNRoZ+NoKOKSkyzKHQjjk341NSmNnQQJptk2i+5VPAj9DMnpHAS0g/xUPb\nwEIaPCNRHdK7KH33GupmSxTchupnPkTpsA+JMLi2LXISSTjKy5VuHTpUBb3btjnzysAZMhkKOY91\n7y7ib+rLjINgOqQ87Bom3TRypCI0H3zgpZs6IBKCzLQAVyDn1kNLiEdrZq60dHKuQSyiBM655cul\n9rtpk56vslIkJjtbk7S/+05h87Q0EZa6Ov2+zycD3dCgFBQ4Bt+yGguPhQf4JZogeS1wPYocgOo8\n/kLnE7xLFByDxiOcidJNY1GU7gwX1xSJZFSwfCDqxroduNs8GArt1JVHIKD//bIykfzUVBH75GQn\nqpOerq6mnj0V3fze96QlEwhIW+aFF7Q/MqP+61rjsHRFDBgAf/oTXHUVfP/7SjnlJuLUMA9NIeHJ\njGVZvwICyC40dc1VwFUAAwYMiNPKXIAhHlVVIggXX6ywcjRaUwPT2ihOU0QpOVlE5quv5B2GQhLC\nW7tW54w4V//+IicVFSIq48fLG62oaOyBGnJl206YPYGxEkUJFgLpiMRc4eqKugYGAp/ieDtnooLb\nX5MYqcfeqCB4AqrtOYqIfHqsUTImpdrQIJ2Y3FwRfp9P6aPNmxXBWbbMkTMYNcoZa9C//857ubUO\nSwdF5PdAcm7PXV4/6Na3Gp+wC5ly1MX89LlnWf/2R1x3+i18WRhbserbe07Z4/V6aFskNJmxLOtS\nlBKfYDczRMq27UeBR0GzmeK0vPijpEREZvVqeXBPPw1TpsQ2TC0t7mtNFMc8byyiNGkSPPywig+N\nlkxKigp4a2tFYLZt05gC0LnkZLWQWpYMdkqKSJpBuCgyFAgkxBdTU3gFDbasBIaitNIBrq6oayET\nEYbRqLDudkQqn8KZau0mjkEE6zbgIiSMuEtRR59PaSTLUsqottYZTpmRob1UXq4C4U8/VYdT//5K\nO5m97POpjs04Cp1cUybyeyCtcFjrvwcsi0fGnc/sAaN46I37efnpm7n/6Et47NDvYVuJbIE8QAKT\nGcuyTkSDg8fbtl2zq+u7BHr00Jd9aamMVmbmnhum3elkikWUTDQlN1de4oYN8iyLi0VokpMbz6Jp\naHBC7Xl5OhdOOUUO9VtfV0e/BB0G14CGQD4Q/vls1C6c59qKui4sZCxGofqU/6KugdeARFAP+SXw\nGfAmiszMRlGbmEhLc4rft21T/UZqqm4bNzpaS4GAiEplpdK6PXrA7bdLQdjng1dfVSSnvl72AnYt\neOmlopjfb19OvvzP3PPOw/zy439y5LcL+dkpN7I1u+t+Jh0BCUE3Lct6Du3vEZZlrbcs60rgEeRY\nTbMsa6FlWX93dZGJgIICpZb2208Tc9uqyK81nUwQu5upRw/pXtTVyYvMz5cRNjUxwaC8zMxMR3Mm\nFHLm1CQl6ZiSskMF9ybgF6bLA3WGJArWI4/7AeQRPIjGEHhExl2chAQK9wG+Bsagtki3kYSiR4cg\nvZxT0ViLnZCTAwccIIVfU1NjZqOtW+c4AUZzyZCcjAw9FgxqL5eWKmIze7aGVJaUaHxIUymm3emA\n7MSoTM/m2jN/wS9OmMKh67/m7X9ex/jV891elodmkBCRGdu2Y2lfPRH3hXQEDB6s1FK8PKhIbw00\n+HHmzMYDJ0HXXHihOgLWrVOB4l/+IlKTmqqxBXvt5eT8fT55oFlZunbrVqisJOjzkdzQwOykJP4R\nCtEX+MC2mUjiSP2/j9IFJUA/1H59uKsr8hCJ4aj98WI03uJE1MJ9I+7+D2WjyMzhqHD5PDSuYYcR\ntiwRmIYGDWM1ir6g/ZKU1HgcQlYW9O2rVG0opCLW0aN1vYnWbN8uByItTRHQpojMvHlKYQ8f3qlT\nUa2CZfHcgScyb699+PPr9/HUi7fz6Jjvcf/4S9xemYcYSAgy46GViJfYVWThoGkFrakRoTnjDBnd\nVatUJxM9WXv2bKWcBg+Waml1tR7v00dGNiVF5/baS9GbrCwAksOpqlurqngTfQFcDdyMjL+bCCER\ntN+hKNEJqHvGa4BNPOQiovBb9De7CdXRPApkuLcseqNW8nHAW0gA8B+ESZbRitmwwZEoMMX0ZiaZ\nz6foTVWV9p6Jzu6zj4hIfr727ezZuqakRCmmyChutINimgoWLNDPSUlKXxnNqC6OFT0HcsYlD/Cr\n6U9y1dz/cti6xXDVfoqAeUgYJESayUOCwnQ65ecrVD1jhozkunXw2msOeTHXFBcr8tKvnwxoMCgD\n3LOnRMCysmQg6+vlMTY0qCtj+XL49lsClZWQmUllTg79gKOBg1E7q9vSzzZwDfpyBMnUv41HZBIZ\nSejv9DKQhYjn0bgvsDcceB11vT0G/CnywWDQmZRdU+Mo/5p0LGgP1dZqD5WVqY6mWzeH4JSUKNJp\nRh0cdphE4SI7m0w6adUqvebw4YrqmO7IuXO9dFME6lLS+M3xP+Kq7/2KAeWb4KCD4N//dntZHiLg\nRWY8NA3T6fTZZyIwPp+M7AEHqMjwqKN0btEi6cekpirasm2b6mcOPliGecsWJ3IzapS6sUydTF0d\nBALcZ9us8/uxSkr4v+xs+tk2DwI/ATYhr9pN/B598WSg7qVouWoPiYuzgGFIf8bo0ryHyIRbGIe0\nJs5G3VcXoTEIMdHQ4EzZDgZFbkIhRXECAZGeV19V9MXng+OPVyq4pET7bMwYORexOpvA6WY0QnGh\nUKfvfNpdvD/8cBb3Gcrsr/8pNfP334e//lWfvQdX4UVmugJiFew2d97AzFXy+5VzT0+X+N2QIbrV\n1MAvfiEv7ptv5NVt3qxIy9y5MooHH6zz69bJg/z448ZFwcEgb1gW71kWP01JIROYU1XFWCAFuAu4\nF/hZeEmhGMtsbzyPdEssVMTpEZmOh/3RJOu+SMDuEtz5X4rEWYhY1aBUWJOwLO1FM2yyttapm8nP\nd4T1srJg1iwJ5/XoARMnap/m5orsfPCBSI7f77RvFxWp7m3MGL1WcbHSTcuXd91p2rvAxtyeGkr5\nu9/Bs88qojVvntvL6vLwIjOdHU0JZjV3PrK4OBBQXcvQofLqjjgCLrpInt6990oQr6FBBvKdd+Q1\nHnIILF2qiM7SpQplG9n15GSFwMNiYHWhEL+vrOSPlsWQUAj8fu4IBvkWec5/RbUpQ2ncsh0vzAYu\nDd//I4mjLuuh9egPvIOE615ExOZB3C0K/j1KOT2GCpSHxrrIthUpCYVU2BvZ5QTacyZys3KlyM7a\ntc4E+tWrdTztNBXfjxmjYuDoBoLKSqWbQBHUQw7xojJNITkZfvMbOO44NT4cfjj84Q9w443eKASX\n4H3qnR2RCr/BoDN+INb5WO2ZPp/qWoJBRWYuvVRGrrTUEbgLBkVU+vZ1RLuSkmDsWDjwQOXuU1Od\neUu9euk6n4+07GyeyczkCNumpqGBRcEgdwFLgfHA3sBh4bcS73/WYkRe6lAR8k/j/Poe2h6jUGFw\nCvAQjkaQW9gHjb0IoOhfTPh8imoWFDgjPrKytIcmTJBcw9FHKwKal6e9mJfnOCUbN6roftEiJxoT\nKcVQVqaIzfLlmqmWlCTnxdgED03jyCM1wfz00+HmmzVMd9Mmt1fVJeFFZjo7mlL4jXW+qblLo0fL\nQG7f7hTxzpwpMpObqzB4aqrIjlEhHTtWXRnffqvnysnR4yedJO+xslLkxu9nSHjqbybwJKod+BaY\nhYy8GygHTgG2G9E+SQAAIABJREFUAsejKc2J0hruYc9wLFIHvhB1Oe0FnO/ien6L6meeB24BDoq+\nIBBw5Ax8Pu0bn0/R0MJCdTJNmqQU0f33q0YtO1u38nLtNzPEddKknaMtJSXam6eeKsflgANg2rRO\nP/6gzdCtG7z0koZV3nCDPr9//UtF1x7iBo/MdHY0pfDb1PlYxCcnR4bNFBjOm6eQ99lnO8XB27c7\nLdmFhQptX3WV2rZBxMbn0yY3tTWhkNOxEYYpgvwJ8GOgF/FPLzWgOUtL0BTmF5An76Hz4AJgA2r5\nvwS1TB/r0lr6oyngf0LjGN6zrJ3nNjU0iKTU1+uxzEw5DabmpaBA9TMXXwxvvqk9uHKlfjc5WZGY\n/PzGU7oNjGNTXq7oam5u48Gx8+Z5KaddwbLg6qsVqTn/fDjxRLjpJrj7bjl6HtodHpnpCmhKlyb6\nfFMEx5zz+eSxRWpSWJY8wKQkRWFqa+Uprl6tYkSQR1hW5qiWZmXJcH733c6Tg1FU5hgUfof4Ehkb\nkagPEJF6C0/Vt7PiZ0jJ+SFUiPs/VCjsBn6B6mbeBz6ybY6LviAYFKEx8Pu1l/bdVz/PmwfvvaeU\nx6ZN2qMTJqh2Zv16EaDcXO3r6Lq46H0PckKWL3f2eXGxF6FpCfbbDz7/HH72M/jjH9Xw8NxzStt5\naFd4ZMaDEGngjBhU5LkePRqrhIL0Y2bMkKHbulWenM8H8+crjTRokNJR330nkmMUTFetciZix/BC\nB6HIDMQ/KvMA+lJJR3N9BsXxteOBKpS6SwKSw7fI+10plWahv/cGNBz0JFTw3d+FtXRHKaZfo3lf\nnxH1twhF9V4lJ0s/ZvBgmDpVzsM332gfrl2r61evhrPOgh/9SESmqEhOxNNPK7KTk+MQlGjHZvJk\np0PHUwVuHTIy1K49aRJceaXSTj/+sQhO7yYncnnYQ3hkpqsilgpoZI488pwRxwuFYM4cGcycHBGW\nUEibNxDQsXt3pZtycpRLTktT5Ka+3hH9MpLskZ5mFJKijvHAqyjtAKqpOKyZazsSalD3zhPAzBZc\nH01yIslOFpordCmae9TRyU8S8G9gM/psTgof3fjKvgENpJuLtIzObu7i5GQRi+JizWCqq3N0ZOrq\nnIGua9bomJen+1OniuwUFqptuymCUlCg1FJx8c5pZw8MuvWtFlyVSuH5D/DzT6Zy2h//RP2DD/Pc\nASfwj7FnsTmnZZ/lt/ecsmcL7ULwyExXRHRb9kEHxS78raoSEdm0SZ7c8OEylMXFOu67r7y/0lIR\nlA0bFI058kiFWj/6SISnutpRMI1RJ5MImI8KQm2kOHyuu8vZY9joPT0BPAtUhs+nAplAEEW9ghE3\n8xcxP8dCKWqX/yvqxLkUzUDaq83fQfxgonBHouGUbonqZQG/QSMOfmVZnGFZ+GLtk4wMkZH16xUZ\nXb5cNWtVVYpypqZqf27Zok6mv/8d9t9f2k+2retAXYbNEZSm0s4eWoyNuT254bSb+b8jLuTHs1/k\nki/e5KKFb/PCqOP5+9hz2JDXy+0ldhp4rdldEdFt2dC48NfnU1HvZ5/B9OkiL0bpd9MmRWHWrxfB\n2XtvPda9uwzo1q1KLVVU6LrCQkVohgxpHJkBsCwa0LwcvxufQxjrgNOAWlSn8wsX17KnKEPe/WgU\nOfk7IjKHofRZSfiaSmA7es/1iLzY4WM9+ntUh68rRyRmC1LQvQHoiQqkbwUGIC2gZ1EUqCOiAGnQ\nuC2q9wOgCFhm2/yzKcJfX6/oyldfOV2FNTXaXz6f6jZ69oSBAx2tKNPSnZur/ThggIqFd0VQCgoa\nt3G3FrsS5uwi+LbbXtx8yg0cc9WjvDxyIuctep+PH/0h97zzMAPKNrq9vE4BLzLTFRHdll1UJDKy\ncqWM4LRp8uhCIeXlbRvGj5cB/eYbpYfKy9U1YcS6qqtFYKqrdX12tgyY3y9P0MxpioRtMxVpuPwH\n+Cj+nwRViMhsRLo2O4b+dSCEkLrt42gOUVhfme7oS/lKYL8WPlcSzXs4PdG8rPvQwMSn0GTq98O3\nHBTVuhRFOjrSZzmAxqJ6eyFRvXjCqF5fgFq2L0KRtB2wLKVxCwqcVG5pqboDk5OdrsODDpKe07Zt\nIjOWpcd79pQT8sMfqrtpxYqmoy7RhcKtRVPCnF0Y6/P78MsTp/Dncedx9Wcvc8Gi9zhn8Qe8tu94\n/nL4eazu3s/tJXZYeGSmKyJW94LRlZgzx0kpLV6sqEyfPrpmyBAZxmXLlD5KTnbk0oNBhbpDIUVn\njAH1+3XcvHmnZdRZFneGi3+vitd7j0AAfWksQsP/XkFpmI6C74CpKJW0OnzOQro4VyLBv7R2eu0U\nRAJPA7YhMvoU8Hl4PU8AQxCZugQY3E7raGuMAv6LRlb8HyoGvjHOazgXkcUFKMp2S+SDaWmKsGzb\nJrLw7bcSpjSDW2trdc3YsSI9NTVyREpK5EwkJ6t+BhrXxB11lJyaSCG9PSUisXSrujiZMdiY25Pf\nTrqGvxx+Lld9/goXLXyH7339MW/tfSR/Hncey3sOcnuJHQ4emeno2F3vKbJ7YcUKx+iYkPXKlYqy\nNDQovZSeLg/Q71fO3hT0lpUpqlNZKSNrojTBoH42w+6iQ+aWxWO2zTpgJO7UqPwMtV53izgmOhrQ\ntO7Hw0fzqfYHrgAuBwbGeU3dUJ3HtSj19C9UVLsaRRd+i6ZVX4r0exJ9JN9xOKJ6P0Opp3iK6iUB\n96DU3R+AHxJRkNzQoMhnWpr2WFWVugWTkxUZTU3VceRI1bQZOYWNG1XfduqpjpCemXb/5pvav4WF\nDmlpCyLSlGCnhx3Ymt2Nu4/7AX87bDI/mPtfLvniLU5bOpN3ho/jkXHnub28DgWvZqYjI9b4gd1B\npNHJydEMl9JSkZaqKkVZsrMdomOKCMvKdEtN1bVJSbpv5jBVVjqTfqNQa9vcHb5/J/H/R/wH8DCK\nMLxKEzNxEgxvI6JyJvAm6i46B6VGihFpiDeRicY+6At4DUo7XYQmjc9A0aK+SO020XEBcH/4/iVI\ngyaemIRIVTkatLoDoZBq00xhfU0NfP219u727dqrq1bB88+r7u3LLxVhzcvT782eLYdk6FDt+WXL\ntJ+HD2887iQWEWlt/YuJAE+c6KWYdoFtmXncN/4yjrzmCR4adz5HrFnEW1N/Ilv8+eduL69DwIvM\ndGS0VRg3Ou1UUqKxBA0N8uhqa2HJEhmymhoZw9xceX5ZWXrtTZucgZPbt8tAmpbuaDVT9OW2CYmU\nxXt4Yz1wW/j+Y6hGItHxMooOBBBh+AHwfVTDkohIRl/Ik1AR8UsoJTYTrbsWvYdExs+AtWiUxS1o\nvEa8YKHamXEo0vWH8LlYewnb1q2+3tlzs2aJzJSViQDNmKGBsUlJSgOD9vyqVSoiLi/fOXpyUHiw\nQlGRjruTdmpKsNNDTJRn5PLgURfzxJgzueSLN7lp1ttKGR5/PNx2mzpFPcSEF5npyDBpnOXL9yyM\nW1wsgSyfT4anRw9FaIYMUbfSwQc72jD7768c/dChmtZrhPBqavS4acHOyXG6lwxSnKEA4SEHHEv8\ni0TfQjOX9kNed6LjOeA8RGR+htqHbyRxiUw0clEKbAaqBbFR6uRvbi6qBbAQichHYnpz4/z6Y1EK\nbyOKdMWEEZ2sq3MITW2t9uOmTbIP+fk6l5srR+PLL+HPfxaRKSqCyy5rHD0xEd+5c51xJE0NrPXQ\nLqhMz+aRceerJuree6XEfNRRcOyxkryIRWq7ODwy01FRVqZceGamDFesAXLmuuZCw8XFYvx/+xv8\n5CeSQzeRmtNPl4LoXnuJxNi20k8NDWr7PP98tXeOGqV1mG6lQEBh8GgyEwopDeXzERZJ33moXhzw\nz/DxchK/2+YppOMSBH6FUh+JvubmcDPOpOprUdQjkZGFE0F6KM6vnQQcHr4fMyqUlCTHo7BQNW3p\n6aqlAe3VLVucGpvsbN3/7DOd/+QTKQE/8ogjrGcQi7h49S/uICcHbrlFpObBB5UWnDBBEZp33/VI\nTQQ8MtNRYQzO8OEyLLEGyLWkpmblSpGhujqJ3k2dquuMvkRRkULX06c7s122btXttdc0e6S6WgWH\n3burHbRbN60teqMFgyI0odCOyEy8ycwmVHviQyQhkfEYIlwh4A6UdujIRMbgpzgk5noccpOomIIM\n5QsoShJPjAsfY5IZE5FJj5D3Mw5DMKhjXp728ckna28GgyoQrqhQQfCCBfCb38Drrzs2IhZx8epf\n3EVmpiZyr14tArpuHZx0klJQr7/ukRo8MtNx0RJPqSWh4aFDRYQ2bZIX0L174+sKChTeHD5cI+2/\n+05RF9tWnr26Wr9jBkj6/TKIRqgrGsEgFaEQq1Db8N5t9Xm0EP9GUY5T0aTkRMUjqF3dRgWgtzV/\neYfDFCToB0qd3dvMtW5jIPA91EkW79TYEeFjk/U6fr/q2nw+pzjY3Lp1kyL3vvvCccdpInZOjtq6\nt2yRl29EMrOzHRsRSVwmTdK5SAfHIzLuIT1dc55WroRHH9Xf5owzVN/08ssJp6weT3hkpqOiJZ5S\nc4THpJ/y8+GOO0RYJkzQILTozoWiIhnC9etl9PLzRX5CIRGYvDwRmjFjNPjO10xduW2zMHx3FOom\nihdsGqeYEhV/Aq4L3/8/onRGOhGuRi3mFlISvsvd5TQLM/j0b0g5OV4Yg4qpFyGBx0awbWdga2Wl\n0kihkCKohpxs2KDHFi0SiQkGne7EsjLVsQUCIjeG2KxYIUelogJefXXPuyU9tD1SUyV8uGyZounV\n1XDOOUr5P/dczA7Szg6vm6kjY1edAk3NVokliHX77bEHT/r9mvo6dKhueXkqItywQUSmulpTsvv3\n18C7qiqdawamXmb0nn8CrcLbSAelNxoomIj4PaqNAX1xXuPiWuKBK5ERuhxFnwLA7SReOu1IVJD7\nGSoKvrv5y9sMmWifzEOChBOiL/D7VTsDOpoi4CFDdK5bN5GSjAynhs22RXjM9WPG6Pyhh6oOr6pK\n6ad+/aT6fdppIjee6F3iISUFLr1UtYsvvAB33QUXXgi//S388pdw0UXNO5edCF5kpisiVvopMoRs\nHs/PF0F58EF4/HF5d2eeqcLfc89V4eD8+Qp5GmGu8vKmXzclBVJTXamXaUDpDFAUIJ4RoZbARl/i\nv0Jf5E/Q+YmMwaXA08gY/Q74Nfo8EgkWipIB/BFYFcfXbjbVZNsOmQkEtG/79hV5OfJIOSClpXI+\nUlPh7LP1ePfuKuLfd191J5pauGBQUZtAQI7Oxo0qGvaKfhMbyclwwQXSFHrxRf39L7sMRoyAJ59U\n1K6To2tQtq6KpiTJI9NPfr88N5MTB+fx5cuVe+/ZU10SlZUycsOG6Xfq6sT6zdiCUKj5QrTwhjJk\nJp6Rmb8Dy4BhqIsmkWCj4Zb3oi9008HUlXAhIpgXoOhUA/o8EilCcxgiXk+h1vjX4vS641AnVZN1\nM+aLysxf6tVLBaObNiltXFioKOrq1brm7LNh9GhFbz7/3ElDDx2q7saqKu3nd97Rfv7qK7UEe4g7\nBt361m78VgaccBcTiz7n+lnPMerKK1l74y/587jz+O9+xxFIbvnX/rf3nLIbr+8OvMhMNBJ5ymtr\n19ZUAbBJP5nw8iefqEK+uLjx46ecokGTdXUiL7m5Tk69e3eln9LTVVOTl7dzK3YM1KBUTzISzIsH\nypA6Lqi1OZHmL9noi/Fe9Jk8R9cjMgaTUceQD/2dbiTxIjR/QOMYXkeDNuMB09E0m11M8rZtORvF\nxYqibtigqCnIGTnkEKWDzzhDkgsDB6pwdMQIHfPzG0sy9O0LRxyhaOuHH3p1Mx0JlsUHw8Zy+iUP\ncsXZv6E8I4f733mYjx67mnMXvY8vGKP7tYPDi8xEIpGnvO7O2porAC4oEAEJheSxlZbCww+rEHj0\naBXyHnKIiMqCBTJoQ4aoILCyUreNG+UBpqXB0UerEG3r1p2nY0dgMTLII5HMfTxwJxqGeCxwepxe\nsyUIoa6ev6GoxAtoVEFXxllI7fgclNZpQGMnEsXrKgR+g/RyfoL+n9ubHPdDs7fWAd+gvdMkMjPV\nsVRbK5vRv79Izty5eszn0+2jj1TYm5GhItLRoyWQN3myIq8+H7z/vohRUpIKSxsavLqZjgbL4qOh\nh/JR0RiOXT2PG/73LPe9+zDXzX6ePx9+Hq+MbF2kJpHROd5FWyGRp7zuztqaKgA26NFDGjOlpapn\n+eQTpZYKCuDOO0VowBlKN2+eHk9LkzE04wtycxXSHjxY+fZ16/S8MRBvsbwVqM3ZQnomiZK2CKJu\nnidQi/orwMmurihxcDqal3UW8BecluhEITTXoy6sZYho3RSH1zwCTSafRTNkxojm1dSoc6myUs7K\n8cdLByo9Xfv1hRekAmz2rKmTCQalCpyXJ9tw550adbBwoSKzOTle3UxHhWUxvWgM04cc0mlJTaLY\nh8RAIqtc7u7amtOGKChQFfx++8lDs23o08eZml1WJgJTVSUStW2bXv+77xwBvEBAx8pKEaL6ehUa\nNpFyine9zM3oy/By4MA4veauEAAuQ0QmA3gDj8hE42SUykkHHkXjDxKl2TQVpxj4d8RHSK9Z8TyD\n1FRFYurq5GgEg3I09tlHdS8LF+pYU6OUUlKSHJlAQB2Kfr/Ii2nFBp3ba6/mVcY9dByESc0ZlzzA\nZefcTmlmLve9+zDTH7ua8xa916HTTx2birU1dhXJcBPttbbBg2HKFA2imz9fBs/nk4f34osiMnPm\nqE5m5kwZSr9fhrK6WuRlyxaRmbVrnVbRJgqB4xmZmY6KNLNIHA2TBlQT8wJa15vAMW4uKIFxPPp8\nTgOeRJ/dP1Ftkds4EUWQXkfdcU+18+uNQzOi0pu7KBBQVDQ1VQW/aWnah7NmaV+mp6vWbcsWWLpU\nj6WlwU03qUi4okLpKBP9NRHZ4cP1cyyVcQ8dE5bFx0Vj+HjIIRyzeh43fPos9777Z6bMfoFHDj+X\nV0YeR0NyovV8Ng+PzEQjkae8ttfaCgrUonnmmfLAampEmqqqFGGpq1P4uaRERrKuTp5dbq6iNdXV\nytEbJMUO+H2HxL8s4IC2fxeNEEQFpKAvm8J2fr2WIIgGRv4XFZG+g9N26yE2JqDP6RQc9eZ/kxgh\n5QdQEfC/UBv94c1fvkcYDZSyi/ddUyPnIinJGQJbX6+9W1enGrfcXBGa1FQYN07HzExFb8vKVDcT\n3d2UiJFqD22DRqRm/g5Sc92s53nk8HOhfpL+RzoAPDLTFVBWJiLi88m7aqp+Jjvb8dg+/VRRmro6\nRV169ZJ3V18vIpOfr+FnZpp2JJqQ1H4KedffA/La4W1G4n/AQmAvHH0Zt/EiIjJ5wPvAoe4up8Ng\nPCINJwHPAuejaI3bKEKE+R7gr7QvmWkxeQsElDI2XYYbN8rhyMrS4336yPGorFQ6afhwRVyLimJH\nfxM1Uu2hbWFZfFx0CB8POXgHqbnnvUdg+Bvwq19JmC/BSY1HZjo7TBeUUfUcPVqFfNHdUGYGU2Wl\nWjL/8x+FmZOSFJ3Jy1P4uaZGeXnLckLTaWnKvRtYloxpINBIrOnV8PH7cXjbb4eP5xG/rqnmYAMP\nhu//AY/ItBZHovb6m1BEJBHIDMC5iMw0W8sST1iW9p2ZXF9Rob1YVaU9vGmTvpSGDROpGTdOj5uG\ngujo755Gg40j5ZGhjoEoUjN17dtw1VVw990JT2oSIVrroT1huqCMqmfkQLlIGP2I3FyFpdesEUHZ\nulUG0e9Xfc2IEUpH+XwykLW1isT06CGjmJIiz7Bbt0Yy2huQHHsGcEIc3vY74WOijC2Yjd5/NyS8\n5qH1+AFKz32MU3vlNvZHtU+rgc1uLSIpSXstKUm3/HxHdiEnx3FI9tpLIwvGjpXsQq9eznyn6Hls\nbQHjSHmznToewqSGOXMkntinj0jNsGEacNmM/IZb8MhMZ4fpgtqyRVEVM1Aueujkiy+q+A8kppWd\nLQaemipDOWCAZrRMmqTf3bhRKajqaqcdNCND1xcV6Tl69drR1WTUUo9H82baE+uR/kcWcFQ7v1ZL\n8UD4eA3t//47K/IQoQEnyuU2fGhmE4iwxh2mazAlxdmzvXrJcfH7RVZ8Pj2+ebMKhE86Sbc775RA\n3uTJeo6pU+GZZ3QsK2ue3LSE+DQl2umh48Cy4MQTYfZskZrCQrj66oQkNR6Z6ewoKBABAUfxN7rF\nMtLohEIyeH36yKOrq9M1K1YoWlNT4whvmfEFDQ36OTVVJKZvX+f5srPB59uRYoqHKJxRZj0Oabi4\njWJUK5MC/NjltXR0XI+M1nMo2pcIaFHbdHvBdA7W1TkppuJiEZfNmxU9ranR+epq7eFnn4X33mv8\nPKtWSYZh82YdFyzYmdwYREZcpk7V9bFITSJLXXhoHSJJzbvvNiY1//hHQpAar2amK8AU/ZqWy+gW\ny8hZTOvWqdvh7LOd4sGhQxV92bBBSqBffaWQdVqaBpvV1Oiffft2EZstW/S8fj/U1lIeDDIdfQnF\no9Yh0VJMf0ZqvxcCfV1eS0fHIOBsVEz9FzTHyW24SmZM8b1ti6xYlm4+nx4zt9RU7dOyMj2+dKmc\nmOHDnc4lI6dg27IT8+Yp7bxiherpDjlEj0cOon3zTdXmFBbGrsPzCog7FywLTjhBQozvv6/p3Ndc\nA7//vaZ0X365azU1XmSmK2BXHpKJ3tTUqE1z7lz4+mtFWQYOlLFqaBCByc5WnUxJiby49HSll3r3\n1j+xqcmpr9fzBYO8hYTijga6t/NbbQA+CN9PBDJTidRiAX7q5kI6EUzL/d+BajcXEsZh4eM8oM7N\nhRgy4vdrv4ZC2pOhkPZjRYX27tatEr7ctMlJAeXmKnLbp4+O/fo1JjeR8Pm0/xct0mPDhzedRmpO\ntNNDx4UhNbNmKcrXt69IjYuRGi8y0xUQy0OK7jIIBJxJuz6fDOLYsTKEGzaoZuaddySst2aNvEAT\n4QmFNLtp+3bdAgH9s4dbtOOZYpqFCMTeyIt3G08AVai9OF4jHDo7DkNt0LNRu7/bU9ALgH3R3KQF\nOOTGFQQC2r/dumn/5eeLvNTWinhYllJPOTkiNMuX635RkW7GJpSXw6BBeo7hw/UYyG5MmyZbUVsr\n9fDyci+N1FVhWYrSTJqk/4vISM1//6sBpnGCR2a6CiJbLGMNrYyc01RYqKGS48crKvPMM/Dkk3o8\nJ0esO1IB2ISwI/Vmwt6cHyftEw8yk0gppiCa3QNeVKatcSOasv0gKqp2O8Q8DpGZWbhIZiL3n8+n\nqKkJ+RtPOTmsn9y9u66pqIAJExzbYBydadN0TU2NuhfN4ybFZFSBx4xxZjl50ZdOh0G3vtW6Xzjq\nlxzZfyH3vPswKeMnccb3H2BTbmyS++09p7TBCh24bQM8uIFYXQaRc5qGDFFhYWUlvPGGRLXKy+Wl\n1dU5eXijI2PITQx8iFIBo4GBcXhriURmXgW+BYYCp7q7lE6HM1HkbSUaeeA2XK2biYZliYR06+Yo\ndJuup6QkRVUGDVJU5qOP5EUXFzu/b+xD377a85EaUtEp66IiL43kwYFl8b/Bo7ninNvJqPfz5Mu/\nI6su9tDhtoZHZroimqqhMXOaxo/XzzNnwpIlqoMxxrBXL3ls1dUyeLbdJJEBdfFAfKIyG4AvUevz\n0XF4vV3BtGP/hMSYJ9SZ4EOfKzifs5swZOZTJJDoGixLNWyGhFRXa4+npupo2rTXrJEzkp4uIrNg\ngdNubdLMb7whwjNzpq5ZsUKvMXkyTJy4c8GvBw9hLO85iCln/JzhW9fw8Bv3kxRq/zGxXpqpK6K5\nLoOCAoWN09OdDqW0NHU7DB4Mp5yi1s7Vqx0yY1ny+KLGGATRID7QCIP2RiK1ZH+OvPR8NCHbQ9vj\nCuB24BM0jd3NmqThSBBxE7AGF+u1kpMVPU1JkdNRUqJzgYD2ce/eTnrZEB7L0s9Tpyoam5sLBxyg\nFNSIEaqtefppxwmaPFnRGA8emsGMIQfz20nXcNf7f+W2jx7ndxOvbtfX8yIzXRXNdRn06KHw9LPP\nyqCVlcm47bef5jEZ1V+fT14gyHgaFdIwZgNbgSHAyDi8pURKMRlRt6uAbDcX0omRC/wwfN9tET0L\nJzrjinieQSCgtG9VlYZGGmdk4EARk7Q07d1+/bT3U1I0ngTUxbhpkyOe2bev0sumy9ETv/PQSjw9\n+mQeP+QMLp//BpfMf6NdX8sjM10FrZEqLyiAffaBnj0lf56VpXObNslInnGGHsvKkjFMTdXRth1J\ndRp3MVnt9saEBmBa+L7bZGYt0kFJBqa4vJbOjuvQ5/wf3BfRS5i6GRMhNenf2lrdLroIfvAD1cT5\n/SI2p58ORx+ta00q2bIUnZk8WQW+RxyhPe2J33nYDfz+2CuYNnQst3/4GMesmttur+ORmc6IaOLS\nmhkp5neHDHE6G0C6Mxs3Kr1UXKyWz2HDZPjq650amtRUSE/HTkvbUS8TjxTTbNSSPQIYHIfXaw6P\noBTbZKC/y2vp7BgInIN0jB5xeS0JQ2YiEQqJuJh9bQhJt246bt+uDsXRoyWK17u3jqYV+4svYNky\n3R8zxquT8dBqhJKS+clpN7Gk12Aeef0+9t5SvOtf2g14NTOdDbHariO7l9avd7qXDIqLNSE7LU1S\n1aGQjNpNN0mjoqYGFi5UO+bKlepgys5WKsqknIywVkMDpKWx3rJYXVdHAdIEaW+Y0P7EOLzWrvBS\n+Hi9q6voOrgeeB54AU0kdwvhYSEsQorPCeMpZmYqcrpli/b+tm2OPdh3X93y8+GyyxrX0a1Y0dhu\n5OV5RMbDbqEmNYMrz76NV//1M5546Q7OvORPbf4aHpnpbIhFXJpTAC4uhttuE2H5+muRkh4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6QndD4qNncbCUNmkpKcVG96OmzYoL153XVKH1dXKypTWqrHvvlG97Oz4fvfh5de0u/uvbczhDLS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\n4Tc00PXl89HtsnAhx1FUxIBZXVRvYICxPi0tjNs5eJBuqlOnK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# definitions for the axes\n", "left, width = 0.1, 0.65\n", "bottom, height = 0.1, 0.65\n", "bottom_h = left_h = left + width + 0.02\n", "\n", "rect_scatter = [left, bottom, width, height]\n", "rect_histx = [left, bottom_h, width, 0.2]\n", "rect_histy = [left_h, bottom, 0.2, height]\n", "\n", "# start with a rectangular Figure\n", "plt.figure(1, figsize=(8, 8))\n", "\n", "axScatter = plt.axes(rect_scatter)\n", "axHistx = plt.axes(rect_histx, sharex=axScatter)\n", "axHisty = plt.axes(rect_histy, sharey=axScatter)\n", "\n", "# Create histogram\n", "binsize = .5\n", "xbins = np.arange(-4*sigma, 4*sigma, binsize) + mu1\n", "ybins = np.arange(-4*sigma, 4*sigma, binsize) + mu2\n", "H, bx, by = np.histogram2d(x, y, bins=[xbins, ybins], normed=True)\n", "\n", "# Figure out the levels\n", "hvals = np.sort(np.ravel(H))\n", "cumulative_pop = hvals.cumsum()*binarea\n", "pops = [99.73, 95.44, 68.26]\n", "#pops = [99.99, 98.38, 60.68]\n", "popstr = ['$3\\sigma$', '$2\\sigma$', '$1\\sigma$']\n", "lvls = []\n", "for p in pops:\n", " idx = np.where(np.abs(cumulative_pop - (1-p/100.)) == np.abs(cumulative_pop - (1-p/100.)).min())\n", " lvls.append(hvals[idx][0])\n", "lvls = np.array(lvls)\n", "\n", "fmtstring = {}\n", "for l, p in zip(lvls, popstr):\n", " fmtstring[l] = p\n", "#print(lvls, fmtstring)\n", "\n", "# the scatter plot:\n", "axScatter.plot(x, y, 'r.', alpha=0.3, zorder=0)\n", "CS = axScatter.contour(H.transpose(), origin='lower', extent=[xbins.min(), xbins.max(), ybins.min(), ybins.max()], \n", " levels=lvls, colors='k', linewidths=2, zorder=10)\n", "axScatter.clabel(CS, inline=1, fontsize=9, fmt=fmtstring)\n", "\n", "# histograms\n", "n, b, p = axHistx.hist(x, bins=xbins)\n", "n, b, p = axHisty.hist(y, bins=ybins, orientation='horizontal')\n", "\n", "# add a line\n", "peak = samplesize * binsize\n", "axHistx.plot(xbins, gauss_func(xbins, sigma, mu1) * peak, 'r-')\n", "axHisty.plot(gauss_func(ybins, sigma, mu2) * peak, ybins, 'r-')\n", "\n", "plt.setp(axHistx.get_xticklabels() + axHisty.get_yticklabels(),\n", " visible=False)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# I just learned you can do a variation on this with astroML as well! (pip installable)\n", "from astroML import plotting" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([],\n", " )" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HHtqpi7z1O5Qq/EG9rSsbEmSirPDi7kvnnuwaDKedcmS0hiSJ4Y4Nq/Ho3a2m7Y9ZsmqP\ndYfUjGRDLNeIU1MTY9xSlqBnXcsyQ1vDSlyauKG7o4VF+cRLnViIma1ptzAAn791LXZuWI1nj1/A\ng+0bsKOp1vQ7++7ezeA2LR93tQbxj1qJk2Di+gLu37EeB9/oUz0KTBV8Yd2mIuHiI3Ce7JmwWzBx\nLCV/KRaFPzkwrYvpzg2r0Tkwjbf7xvDSh5/qNdcHH27HjqZa/e965MwwDj7crocVrKVYO5pqXYsq\nNQqpbEiQibLBq7vPGlM1luGI8htRQpOqV7SxhKhnZBb94336TVjERvWsWllS3csiASymJB1H3JSj\ncQWMMQQDfpOoJxIK2jfV4VxoFoA6xenyxA39nDiAV7tUQc5UjMV+Glb6Tc01tq1fpZ9HNK7ghQ8G\nbC3ba3MxkxiL83yz9+qStcqBhPZaOkF2e77v9k+YFlBGgQNTE9CM6weJJcfMz19VFxIfXJxKSlKL\nKxwHXu/Fo3e36J9DPCf+5l6s3Gw9NER5IaXfhCBKAyfL0ok9Wxrgk1QpECLWNRg2ld8Ys6adEDfN\nWILr4v78e5fx3IlLeP69y3r8FABub6pF+8Y6+H0SZAZIEoPCedLN+7t7NwNQS4+e+W0fjpwZMon6\nXovlZNXEWFzBpfFI0rmmE77bm2r1nyUAfx6eMb1+aeKGyaJ1cjMPTN6AZDmYLDGsqJJtT6JKZknb\nC2pXyKbHbWsC+i6sbzlzRW1O0jW4VML1yK5mfOn2RiwVaC2xZd0q02NRAia2s/t4CYXj1MC0OZtc\n63gGLC0CZJbs7hd0DYbx49d68NiLnfjZW/144qVO/Zw72oJ6o5DnTlwyfRaivCELmSgbvLr7OtqC\n+PbuFhzSyncSiSXhNcZEJZa6VrRrMGwSTJEwZYzzCs6FZnF+rA/PfENNKgoG/Dj4Rl9SjetLH36q\ni10sbk5ium/7OvRdvZ7ys3Egqa5YPG9FYsCdm+qwd0sDXvxwYOl5CfjazibdQk7aV4p4rsLVmO7t\nTbW4vhADA3D1+oLt7+TuzUF88z8146e/7rHbFZrrAzg/trS4GLo2B60bqGrhWs4lmuBJbn7ucL5b\n1q7E0LW5pCQ5YRlbLWRojy9N3jRvbynRcpO4ZYxr56LhCFH6kCATZUMm7r79u5pxtDuUJOLVVRKi\nMTUufPDh9pTNHo52hxC38Qw76VU0rqBvdBb/9M07ASCpLeRzJy4lJUkZOdE/gUSq7KYUSFAFzIjC\ngdn5GH7fN2aK1cYV4PpiHF+8dS3et5Q0uTk658An4xFTjbAdtzbWIjwXddym32LpG8XV6dcQmY85\nZmQLqmSGH9y3FT+4bysO/rZPDwGI0qkH2zegb3QWR84MIaGosfqdG1ajZ2Q26VyNJVrGDO5U3cWM\ncW3rApKSuyoTEmSirHDT/MO6vZ2IG7NkRf9nJ4slk/jnpNalqmswjGPdIZNoBAN+yFqzCYkhybqL\nZyjGgCrGspScJGWsbTZy6JTzMDcG1Q3tNE0KUM873dkyqN4Np+1SibkTL34wkDIjG1g6r462IA58\nYyeeeKkzaQTmcycuQdE+A1c4dm6qQ/94RPdaGM9NlJ6JnACfpA7zSFUWJdtsY+xAlutuW8U8I5wg\nQSYqHLsblF2WbCqLZefGOl1AfTLDl3asxzufjCOhQBdUq6i888k4Dp0awjO/7dPdpYdPDeHhuzbi\n931jULia0ful29br9cJ22LlU06EoQE2VjPlYIv3GKdgYrMHWtSuTrGev1Fb78Px7l7PahxU3a5Z4\nYqk1qNPCzBoGMU6aerd/AmcsYQFjTkA0wXHo1BCOGhqbAKk9OdYhEY/e02LqwJYN5AYvfkiQiYrB\nKr5ONyg78U3VwOPgG31QNGv2yc/fgtqaKhw/P24rxIKEotbWGmOXHDDVA4NzDEzddIxnMtg86QIO\nZC3GADASnsdIeD7r/bixZr3gkxm4wl3t085T0T8WMTVUsU6egrZN95A54U2WGJ78wi345ckruqtc\nlLrZNVaxE8Ojlmz6TfU1ORNNcoMXPyTIREFY7lmtduLrdIOyE187q6ZrMGyKU3IOvPThpzj4cLv+\nfqaV1VgTihiA3tHUiVkK1KxmgV1ykWfzuAjJpRgH/DJkCWhYWe3ohjcyfG1OHRtp6X4meoQbxxiK\nVp8iCz8pzs85Iotx7N/VjEvjEXQNzYDzZJdzoQdPCKjGufghQSbyjskNJzGAMb2FYSZuM6/NPzoH\npjFqM5XH6Qbl5FI0WjXGz2S8LYvZwKKT06tdIcRtMr4UILPgqAFrDW25UyWzpNpmK3NR1fKPLCxl\nYqfik7EIvv/vZ5KyrEW5m8C4YLOOnwTUv4UsS6aOaCLGbuwe5nbwBADcv2O96++3m2uBapyLHxJk\nIu+YLNGE6shzcuWlw0sczLoQ8MkSEon0Vq94/PS+bY7duoyfiQF6j2jRNrOjLahnb+eLShJj2dDi\n0i2cA/dsDuLMlbCjI4FDbWKS9vjy0oJtz5YGyBIzdfnasnYlblm3Cn84v1TWxaEu0N7sveqqaYh1\nrOW7/RNJk66MZBIT9pr0SBQWEmQi71izSsGYSRi94CUOZtw2oXA8ek8LNhmm8gDOVq9oaSmSu6w3\nvGDAD0lTYbFt7+isnnFt7dBVyvinZhBds1pddTBDTrnRSrSao2I7p+fE9sySoy62tzyfqgwsFePX\nF9NvZKBpdbXex1vAAHyro9n0nbljw2q9TApQ65IHr82ps5kTXC8ts/YXt+vCJuhoM4+1FM1GqO91\n5UCCTOQdu8lDXl3OYttUw+LTTVKyy1Y1vtfaSlMkXVlnHHcNhvHMb9ROXhIDvnjrOgxN38T/ODOM\nuMJx5MwwtjeuSutezTui5kg34WEWQaMwCoyPtZ+rFqJY1XMZ1z6zLUlEq2ZvILZ6pb6/wMgk5prX\nm/ehKMnHET9bjmXaznquYjvDPmr8MuIKR0LrqmZl8Fr6OLIRu1ajHED7xjoAS8lf1b7kJoexBMdX\n72jE2tpqvXYZgEkwn963DQce2qnHoA++0WfqdS3GWrqJ87qJCVOZU2lBgkwUBKurzM3Nwckl5zQs\n3mrFuu2YZLSIRVyWA+gdXWoAYZxxfLQ7pLfDVDjwlqUsKa5wfHw1uW0l4C0p2lMCtZ3QAlrdFbcX\nQ/GzwlEzcQ3zjWuWRFxaEsbaK1cRvKjOKr5251bTezd+eA4AMNfUgMDYNAKTM5hbV4/p9q240dII\nMA6mcDR29uBG83rEA9Womr0JpaYa1dOziNatwo3WxqV9ihhAKhE3UHfif6J6JoKpu7bj5sa1ansx\nO8vbJTPzye5rBqBvdBY/fq1HjxE7wQH0jcwm1XnLEsOo1slLbYJiH7bxEudNF3IBnK8NL5CoFw4S\nZCIr8nmxWl1yR7tDpvgugJTD4AFvo+56R2fBDTKoGG6qalb0rP5zJjCoiUlRl5bzpvoVCM0suNy5\nRbyEoCkKoHD45hYgxROonp5FrG4lfHOLWBWaQGKF3ySkQlgX62sR2bzBJMaN3f2oHR7H7FY127ju\ncgiBSbX0R/wrfg6c6DLtLzA5o+/HithOXogiscJv+lcV8RWovzCE6pkIZrc2Y7F+Fbgso/7CkL7P\ntX++gLmmBnBjHzKrtZ8Fh08NJXU4s0PUnxuprZaxEFdw+LRak3zgoZ2mEI4QagBJ3287xHxnBrXT\nnNjWusDcv6s5a5c21S4XFhJkImPyfbFaY8/GAfPiWNm47azvZYBplKDEAKbFBDmAV86qN//V1T69\nEYgXOOBajAEki7HVvZt0AI5VQ+O60AphE4KYjsDkjElg7QTUuI2X/WW6nfUcnLYLTM6g9fcndWEf\n23unNttR89kzZGw5i3piN9iNiYwsLtV8L8bUhZ8xC//w6SG80hUylVgZryWr1fvYCyf179ErXSEc\n/v4ePYnQOOaTAa7KnFItqilOXVhIkImMSTW+MBcYXXKjM/M4fHoo6caQjdtOvFdYG7XVPkiMgWuD\n679823oA6qAIDjVGKFpJMgA+rRFEZDGOX50eymk9LQBzTFVzLTMGcMbAOMeKibAuvNUzN0wWayVi\nFPbqmYguzuN72lXPhzVOLVzzBUQs7B7Z1YxN9TWIJ5bETrxu/H7bWb1Gl7lxqpm1hnn/rmbs17qK\nOXmw0i2qqXa5sJAgExkjxheKcXWvdoWSEqeydWkL0RVuOrsbQ6pMaavb7pjB7S3ec6w7pG8DALJ2\n7z5+fhw+iaFKuyEZ9VZkwUYW4/inb96JychiUizZLaZ6YrsEK85R3z+EusvqjGOjG5iwx06cE1W+\npRi46NbCDMlZTpnfOcDo1IglOA7+tg+P3t265AHSmpAkFA5ZlvDn4Rn85DV1+pXx+2sNe4hrwVjD\nzAB8e3eLaeFph7WxjVPIh2qXCwcJMpExHW324wvdNEHI5FjixhAM+HWrIJ2LTbjtonE1pnrk7DAU\ng1vQuL1A4QC0RYYol2IAjpwdNtXCCmtn/65mrK2tdvU57Jpb+Ca1siItIck/ewPR+lr9Dr6m5zIa\nu/v17UmIvWEU59rhcX1BAwCzW5sRr6lWE9Ak2CfG2SAWUW6aj3y2uQ7VPsk0DvNcaBb94336ZKhg\nwI++0VlMRhbxzifjev9ytUpQ9YjIsqRbvcYYsrgGjJbsfq2rmBPWxjYSnGc3U+1y4SBBJrLCaXyh\nWH27jT+5saTF8+lcbMab5f5dzdi5sQ4HXu81TSWydusS5ylB7YVsrJUWLRNPDUwnzcEV1o6105MT\ndTVVmLoRXXqCc0SDq8E4B1cUMIVjwx8/sk2qIrLHGq8WP4dvbVmKOwtSJISJr1I6MZYZ0Lh6hW0M\nejGm6BPFRL27xJhplKfClw6iaFmGTgK5f1dzkkg7YVyIinGTP3pgOwDYNsIhCgMJMpEVTjFc4wB2\niTmvvgF3lrQQ7JGZeX2/0ViyyL/dN6bf0OKKOgRAlJkIRFnua/9zBO/1T+CLt67D2tpqtG+sQ9/o\nrF53KmbaAuoiwKlG1dggIh3XbkaT3dKMo65/GFU353VXdKqsZCL3BC8O61ncALBiehY3mtfrpVtJ\nTVFcktDK4uzeyqE2DfnT5WlDgiCHzOz7e8cV4OfvXcZnW+qTppNZwzTpFrjW2LAQY8qoXl5IkIms\nsa7YjQPYJSytvjPtOGS84UgS060NBTB1OuoaDOOFDwZM+36z9yp+9MB2U7b2XS31OH0lbBrc4PdJ\naN9Yp9eZyhLw6N2tAJYm8OQCRZjuipa7y9U63UpPyCoGrNZz8OIw5tbVazXO67LL1HawpI0WMKAO\ntPje5zbj5+8P2FrVb388juPnx1NOJzvaHdLzInyyhG91NCfldtgtpNOVEBL5hwSZyDm6GzimCuiD\n7RtSuqrTDWM33nC4wXSQGBCei5q2s974xLGNN5+Dv+1LOo9oXME//+5jPVkmrgAvnxrCkTNDeqMQ\nKz/84hb82x8/9d6RS3NNN3b2eipLIgpPYHLGUOPM8pv4BbVFZ21NleM2Qr8XY4o+y9mufM/YYe7w\nqSEcs8xkBpIX0pRRvfyQIJcgxd45p6MtqLcHVHhye0CB22Hsbnth79nSgOoqCYsxdezhU3+xBY/f\n26qfU/9YBM8ev4BZm25MAHBjMXlGsFNo+J7NQXxlZxNODkynd1lbypdExjSJcGlgrHE2ZWoDuRVm\npta4j87Mp+3SZkwotC44+8cievmeqKF2Y/FSRvXyQ4JcYpRK55y+0VkklNRTnUzDH1IMY7dmWIsh\nDtbkFacbyqFTQ/jFhwNJCVnZ0DUYxl///KT75iCKAnCg6WQPxYZLEGum9nT7Vsw1rYFS7fckyqlG\nZnIOPP/+ABjUhPt0rcHiCY5nj1/Qw0Eif+PgG31IaH3WmcTAtVKqkZl5HDo1pOdGOF1rxXg/qRRI\nkEuMUuicY510ZBxdZ8SLi8wuw9pY2mEdm3jo1BCePX4BDSv9+PWfR3P6+QAt6SZViq2pjSVH/QWy\nissFY2vQwa9/Tn3SpSi7Wb+p5XYu9gXgw4tTOHl5Ggcfbsfj97aa8jcA4K93qyV7r5wd1qdISQxF\nvZivZEiQS4xSiPN0DkzrJUbW0XUCIaCiDtONi8xpMWJK+mIMD31mgycR9jTEIR2G+KK0GMXqT6+S\nEJcpgckZNP2px1wulYfYcio41GEmP/11D3Y01epjQTnnYIzp1QJxzVsFQO+sdyyHnfWKPYxWKpAg\nlxilEOexG3toxKvbXVzswYBFqtj/AAAgAElEQVQfPkltrMEkhhGtKX/nwLReCqVwjtdTiPG6VX5M\n3YwulZgC+MKta/Fg+wa88P5lXJn2Nq5Px6bP9Pqzn5B7uswR5VKjf3HX0hjKZSDBgeffu4wPLk7q\noaK4wvHMb/vwzDd26kmWwvC2xqCzoVTCaKUACXIJUuxxnnSLBi9u967BMB57sRMxUfKkJarEE1zP\nHv3u3s1JbS2NrFvlx9SNKDiAyGIcD392I35zbhScA9VVkqkk68dau0JPaBOVjCML1/RcJjGuEAKT\nM2jouYyxz38muca8gExcXzC5qwE1y/rImSHdE3VueEbvzZ5QeMYToIzXdimE0UoFEmQiL6RaNLh1\nu3cNhk1dsKwJVCJh7KTWRtOJSUNnrIWYgjc+uqrr53f3btbd3uG5KO5qrsOfPTT6gKJg5egU1v75\nAgDqM12piMXXzPZWxFauQCKwImkbIc9eRnDasSZQhfBcLGnhWVdTBYkxUxMcYKlN58tP7sGeLQ14\n/+Kkq5CXnRvazhouhTBaqcB4ut5vOWT37t387NmzBTseUbykizkJyzhVS0rR5pIDei2w13iwxIC/\n/OxGvPHRVVNrzZQYu34pClrfPEkCTOjMravH4Nf2ArIWWNbmUvtnbyAaXJ2340rMUmFneE1mwN9+\ndQee3rfNVbzXmpchksaeO3EJP3urHwr3vs9KhTHWxTnf7WZbspCJnOD1gkzndhedhuwQIhqo9qFv\nZBY9I0sWrVVSb2+qxSdjEdPzxtIThcN9ApjVHakoqLswTGJMmAhMzqDt9ycx0XEb5hvX6N3Y9K4e\neXJlW/trywyQJAbF0nDHOh3N7ro1uqEVznHg9V7saKp1tIaLPYxWKpAgE1mTTVKH0w3BzlYVPag5\nB37XOwZwjpg2lcnOMvZJDDuaanF+LGJ6/gvb1uL9i1NePqLhJLQT0LptiZGIBGEkMDmDzb/vxNy6\nej2MMd2+FdFgbUHP49u7W7CpvkYXTuPgiEOnhvTmPdbrVh3SsuT+VrR489P7thV9UmkpQ4JMZE2m\nSR2phPyRXc149eywHmtjWLJsRezYKMCNq6sxdn1Rf8wYcPDhdvy/f7iQdNwPMhVjQLN2VMuYypmI\ndJj6Y/deXhrzCOQ96UvhwOlPr+F7n78FgLmG/8BDO/HTX/foQyyiluu2oy2Igw+3q4KtcPiryBou\nBCTIRNZkmtSRSsg72oI4/NReHO0O4RVtDrEkMchQk7uYxEyziScii/BJS60uZc06blkTMAk1kEHN\nscFVvWpwDA29l0mICc8EJmfQ9uafMLu1GTPbW7R2XMhImP2W3Ak7OIBLEzfw49d68JU7Gk3X2pEz\nQ6aJUoyxpOv28XtbsaOplqzhAkKCTGRNprXRViEPBvwml5ooqRB1lYrC8Z17WsEB9I3MmnpIKxyo\nD/jV8YYAuMJxrDuE7Y21OGMYDO8aS7KjLzKHtR9dolImIiuMFvPMbW0ZDatgAO7bsR77dqzH/3fy\nSlJIxo6J6wumfvA3o+a+7U2rq9E/Fkm6hskaLiyUZU0sK8amH2JIu9F9ba1DvqUhgCvX5pBIcEdL\nV2LqGDtjjNkznEOeW0DVzQXUXxgiISZyyty6egx9bS+4pAlxBvOWZS2pwk0/9X/+5p3Y0VSre5yc\nLGsG1bsksqopezp7KMuaKBnECtw6i/WYNtN1MrIIRVH0RgbpBkSI+cstawJ6717PaFOZmk90kWua\nyAvGCVLyQnSpqYgHUU7bT13jr+7aqI8pZUjv5hatON/tn8C7FyYRT9gna7otnyJBdw8JMmFLri4k\nt/sxjViUJRzR4sZeUKfkqPOXdzTV4tCpIfdvttzY1vRQnJjIL6aELwBjn7vTvEEGsWVD51YAqrfo\nt+dGkeBq1UFzsMbVfhIceOvjcf2xNcfDKSHTeL0DoJaaHiFBJpLIVW9aNxetMVZ14KGdOHJmCDcX\n42kt4SZLVjUA3Yo++EYfvrt3s7uTNNy9fLM34IvGyUVNFBzRE3t2azMW61dhfv0a1d3jUZStBrPR\nmx1XeMpe7RJTF7WikkHAAH18Y9dg2LFdJpA8jY1aanqDBLmEyZc7KFe9ad1ctEaRfuY3vWlbCjIG\n3NZYiwsTN2xf51DbY7704aepT067c1VPhOGLxVF75SqJMLGsGC3mq3va1aSvPFJX48PsfFx/rHDg\ns811WL96Bd67MIlEQk0Au6ulHl2DYb13/IGHdmJ0Zh4+SY1fi8qKY90hfchLLK6AAdRS0yMkyCVK\nPies5Ko37Z4tDfDJS27oPVsakkT6WHcInQPTGJ2ZN8W2GIBgoArX5mKmfXIOV1mlbttgNp35mFzT\nRNFRdzmE2Vtb1KQvDqwaHscDf9WR09neC7HkTngfhWZRXRXBM99Qh1EEA34ceL1XL5FajCl6MxGf\nLOHRe1r0aW7WGeg7N9YBUBfJj+RgqlQlQIJcouRzworXMqaUlrro9MM5jnaH0L6xzhwrPjOEhKK2\n/ZXlpdpin8ywZlV1kiDnBJE8oyhqFyUSZKLIMCZ9iWElf5yaAXbfnrNjLNq0phXWrZhR/uzxC6Ys\nbsbUa1nhQCKhYFN9jZ6UaZyBft/2daaqCesIVsIeEuQSJd8TVtzWH6ay1DsHpvXB6GJcYnWV2iWo\nd3QWpwem9VhxXAG2rV+JW9auBAPwbv8ELtm4pUX7TLdzIEwYs1i1/sKBsdSToghiubAmfQXGpqGv\nXnNIfaAK929fh9/3jZl6AjzxUqfuggbUpLAnv3ALfnnyStJ9x3o/Wl9bTfHjDCBBLlEybcaRa4xx\no2hcwbPHL+jzhcVFKl7nUF1eJ/on8N6FyaThEZcmbiAUnsP+Xc2OpRl3bw5iZGYeIzML7k9SjL5h\n0GcX11+k1pdEaSE6fQ1+9V6gypez1puzczH8vm8M3927GScHptG4egV6R2dNYixprWgfv7cVX9nZ\nZJuUabwfAcDR7lBKgyHXOTDlUGJFjUGIjOkaDOOxF06aErEYgOoqc7LWse4QjpwZ0ttaSiksXJkB\nX769EcfPj9tuU7vCh8hCPPmFVHCOFZMzqL8whMQKP80rJkoaPeErS0HeFKzBSHhef2y8Ln0yA1e4\nHjuWGPB/aqMW3ZJKIHOdA5PPnJpsocYgRN7pGgzj2eMXkixZEYMSLiqj6/uQ1qgjlbuZA3jnE3sx\nBuBdjDVWTM9SFjVRFtRdDmFmRxuA7EY5js3Mmx4br7lEgmPr+lX4dOomuDYNymjlWsXWqZTRSRTd\n5sC4tXrzmVNTSEiQCc8YV6McarmkT1Zb/yUSZheVuKB2bqxDdZUaY7IOhjCizl9demw3VjEtVq9P\nQqExiUTZEJicwZqeS7j2mW1ZzVdOVWEoBlP4JNVjtba2GgB0j5dovykb4sperFM3OTBerN5859QU\nChJkwjPG1ajE1FaVP3pgu/6acdVsHfnWNzqLXstgiFQIwU/OB02NtBBFYPwafPOLFCsmyo7G7n4A\nyFqUBQxAlcxw/471GJi8YUq2/MP5cXAAr54dBhgzjT6NKxw/f38AQLJ3LBVucmC8WL3FklOTLSTI\nhGesq1GRxAVAF+LnTlzC6My86YLqG53F0e5QUjJXOoxbyyzFyt5wY/JHbqLlRFcGn44gSoPG7n74\nI3MZ9cG24+t3bsCz3/lPeOo/zpo65YnrTQ1PJQ9rMSZ+ebFO01VyeLV6y2EyFQky4ZlUq1GjVeyT\nGHyypHb8kSX0jszqAs0ABPxy0hg4O4winLKRl6GRb/0FihcT5Y/Ii9D7YGcoyhzAr/88iqbVK/Du\nhcmk141hqXhC0QsXjAhPWa4GTZSL1esFEmQiI5xWo50D03q5RDzB8Z17W8AAHDkzZHJTcwBz0QRk\nieGWtStxeeJGUv/ctoYA7mqpd9+dSLtLrOmhucVE5aCL8t47VeUEXAmzT2JJHe0OnR5K8mAxAHc2\n16F9Ux1qq3146cNPEbfOC5eYHrYyzjTX93tqSO/w5SULuhysXi+QIBM5JRjw68KqAGjfWIfe0VnY\neanFMIhPJ2+gSnNNiXJhWVJnGnttFbhqaEyPrxHZEd+6qSDH8V0eKchxyhkxnGK6fStutDaqT6YR\nZbv2stcdqhg+vnodPSOzsE58NM5PBoDHXjiJWIKjSmY4/NRePYR14PVe/XjREs6CzjckyBWMm9IF\nr4Tnono9o8TUx1ORxZTv4VxttffOJxN6m764AttOXbZvFq5qztHQezmj8650CiW+bo9NIu2dwOQM\nAie6EL61JWdxZUBL1rKJFfkk4NG7W7Ff61P949d69J4E0QTH0y934f/48naE56Km9psSY0nx4HJo\n6pELSJArFLsMaGPv2UwL601zjSWGc8MzONE/YdpGAiBJAIfafMBfJYEB+kXruszJKMYAmv7UQ9nU\nLlhO8XULiXTm6C5sD6JsV17ol1WXtlNPgJ0b67Bf61H93IlLSQvvseuL+PFrPbhncxBVWp96SbOm\nnfJOxL0HQEUKNAlyBWC3+rSWFLzZe9VzYb3TqvaRXc2YiCziD+fHTUPOGYCv3NGIz7bU6yvkzoFp\nBAN+/OLDAe8fzCDGaz6iuLEdpSC+biGRdk/w4jCm2rcgXrfK9Xs2NwRM85Lv2LAaH404lyeeC83i\n0RdOQtISvWTJXvhPXwnD75PwnXtbbKc+2U2AE9UYxdZ1K9+QIJc5TsX11pKCB9s34MyVa65LDJxW\nteI5ILkjV3WVhB/ct9V0cfWPRfAPv+7xPixCBLI4x5qeyxQ3NlBOIpwO62clgV5i1dVpzLgUZA7g\nyvQcvnjrWlwYj4AB+LOLXgHxhOhSD/AUJRBxw2QoK9Z7keiLX+pdtzKBBLnMcSqutysp2NFU69pN\nZLdfYOlCsuMzm+rw/HuXsb62Gvt3NaN/LIKfvNZj66KWACxd6vb4wxFs+NNH5KbWqCQhdkL8DkiY\ntRab21vU+BDgynX94aUpMMZMMd90MKZ6v3yyBEVRbBM4Fa4mfNphN5jiWJrBFOUKCXKZk6q43lpS\n4KXEwGm/fp+kttS0qVM8fSWs/3z49BAAZ8FttbjPdAwxscD4NRJjkBDbEd+6qeJFWZ0OdRLj9+zE\nwrp6V+9RrGnUbtAuyfu3r8P9O9ajd3QWU5FFjF9fwEehWb3bXngu6rgL672n0uqPBTTtqQLIVwaj\n3X5FvaFdSUXWWDKq2373p4oXZBLj9FS6MM+tq8fg1z+nmbLes67b1gQweM1mcWyDcWbyQkwxPS/G\nN1YaXqY9pRVkxtgvADwEYIJz3q49998AfANAFMBlAP8b5zztnZEEOXOKvSxAnN/ozDwOnx7S3dYZ\nDYewQze51X+bTvZUdBIXCbF3KlmYw7e2qN28PIiyzID/+ld34t3+CVNyZjqcxquuqKqsBC1Brscv\n/hLAvwL4D8NzbwP4L5zzOGPs/wHwXwD8ndcTJdxR6FmfTuLv9LywihOK2hDA2C7zruY6nB0Mp0za\n8klAQkkh3GLRqCiovzhc0cMiSIgzp5Ld2KZuXkxd1FZX+7Do0Fd+U/0K7NxYBwBJZYvp4NxelCst\nQSsT0goy5/x9xthmy3NvGR52AvhWbk+LMJLprM9MrGon8XfKqj7aHcKRM8NLDT20dpmb6msQDPjx\nU0sGdXP9CoRmFkzHbA4GMH59AfOxFEMnGAMkhqqb8yTGRMZUctKX6OY1u7UZs9tbsBhNqMppw8jM\nAkZmFjxZxoDqEauukvDdvZvx0oefIqEsDaOQpeSGIISZXCR1fQ/AkRzsp6LwIpaZzPrM1Kp2En/r\n80e7QzjWHdL7VuswtV3m4/e24vv/cTZpGIRVjAHYJ28JTHFjIDA2nfYzlBskxLmnUoU5MDmDuaYG\ncG2Bm2s+01yHA9/YiY62IL6yswnHukM4cnYYiYR9g5JiD8UVmqwEmTH2EwBxAC+n2OYpAE8BQGtr\n5QX07RBiuRhT9D6wqZIdMpl6kqlV7ST+pg5csoT3+idMSRsChQM/fb0XQ9M38c4n3lxdSVjEuOlk\nZXXiIiHOP5UozIGxaTCFgzOR6JFemGurZdTVVGF0ZkFfgNuFmPquXkf/WES/V22sr4GiWcmJhPk+\nVOhQXCmQsSAzxv4GarLXl3mKzDDO+QsAXgDUpK5Mj1dOmCYiKRwHXu/FjqbalF9Gr1NPMrGqxXHs\nxF88f6w7hF+dHsKIjaUrSCgcz7+fQectI5aM6qY/VU4SFwlx4amk+HJgcgatvz+pDqJoa3LVXjOy\nmEBkMQEGYOu6lViz0m8qYxTEExz/8FoPwKC35DXeh4IBvz4NKlOjoZzJSJAZY1+DmsR1H+fcXT48\nobNnSwNkw+gzhfOcfxmzmSXqJP7CdZ1yJnEuMCRxVVpGNYnx8lFJ1rIYRHHla3sw3+Q+rssBXJq8\nCUzedNxG0TZcjCnoHZ3V70PBgF/vl++TJdy3fZ2eAOq2O2C5u7fTCjJj7DCA+wGsZYyFAPwj1Kzq\nagBvM3Vl1ck5/2Eez7Os6GgL4uDD7ab5oPlIdsjHLNE9Wxrgk2DbjSeX+KdnUXflKgJj0xXhpi42\nIY7cUlPwY9Z+Ol/wY9pRScK8vusTDD74ObVzh42VnE3ZIgfwytlhPLKrGU/v24bnTlzSLeJoXMHb\nH4/DLzN8556liVFOVIp7202W9WM2T/9bHs6lonj83lZPrSoLgViBBgN+hOeitufV0RbEkR98Ds+/\ndxkT1xewd0sDuobCOGPjvjLMfvCMHItjbU9ljFIsBjFeDgFOdw7LLdCV4MYOTM6g6WSPWqMMmER5\nzUo/wjedu2sZuau5Dh+NzCaVOsUTS96/YMAPZrkpxBMcGx16XBupFPc2tc5cRvJhwXrFKMIH3+jT\nY9uSFgMyrkSNLqMX//Nu/blf/OlK0n5FEmem7m0uyxl+otJhOYW4GAQ4HcUg0JUgyqIc6uqedkQb\n6nRRvuZSjAF18tNf3LoWH1ycMlnUwhXdNRjGwTf6knpkS2lKoYz3p0xyYkoNEuQKxugGYjCLp3Ul\najc/OTwXxcjMPGI2/mt1vrGHk7HMNq6/MJTVZyt2CinGpSC+brD7HIUQ6UoQ5cDkDKoWonAvwWY4\ngPcvTpmekxnwjFYCJdzVVp78wi2ORonTPScY8OvDbJbboMk1JMgVjNENZIcsL61EjdsuxhQ9/u2T\nJUhSsvhmO06xnJO48i3G5SLAbiiUFV0Jolx75SpublrnKuvaDRxLAyVE1Yexb4HEgNqaKn17a9KW\n1U0twmjlHEsmQa5g7C4SAQPwrY5m3To+Nzyji6wo1wLUC0XSxq8JN7XnhK+EgqaTPUis8Jd9EheJ\ncX6J3FJDopwhYhF8bectiNatWhrbmCEKB84Nz6BrMIyOtiC+u3czfm4oh/QZFvx2SVvW3gcjM/M4\n1h0q61gyCXIF09EWxIGHduIfLDOJRfu7R3Y149CpIfz01z2OsWCOJVc348DmtSsxMHXTvYXMOVYN\nj5e1RSzIpxhXuhAbybcoA+WbgR28OIzgxWEM7+tQa5SztJTf+ngc73wyji/d1og/nB833We+1dEM\nAHjuxCWMzswnCe3T+7bpvQ9eOTuMX50egk9inkqlSg0S5BIlVU2el3q98Fw0yTr+wq1r8aMHtgOA\nrRhbG8fLEoOicCjQahS9wIGG3vLPpiYxLizid0LWcmb45hdztq+4gqSe2DIDpiKLeOyFk4gr3FFo\nhes6rnAoXG069Og9aq/8YqlOySUkyCVIqpq8dK9ZhVptUrLkZvb7JPzoge16IoadZbxl7UqT8O5q\nrUfXYNh7iZOiYE3P5bJ2UQP5E+NCCPGNTdm5LdOxaiS/Be3kws6MusshzGxvta1PlqA1/7BBYsBf\nfnYjPp26iXOhWdttGNQFvVGkUwltMOCHpCV8VvlUz125CbEgv1cbkRfsavLSvSaE+mdv9eOJlzrR\nNbhUNyxpsSJZYnpWZNdgGKMz80lfEIkBW9atgk9SLyy/zLC9sda0DYOLL5am3uGdWzC3rj6D30Jp\nUIpifGOTpP+XbwpxrMgtNXn7fRVDDXk+CEzOYMW0vaCmXEJx4NbGWhz4htoy02GTpBCZENqn921L\nGvl68I0+KJxDkhgOPLTTZGA8d+KS6V5W6pCFXIKk6lPt9FqqKU5xkSLNOcJzUZOVLctqMbG4CBkD\n3v54HIypPW2/94Ut2NFUi1e6QqayBiYx3L5+FSILMXAAE5FFxBPc7B6XJHAomGtqKEsrOR8363wJ\nSyHE18s55MNyzpe1XK6Wcv2FIYytq1+qgHARTxZ1xR1tQRz+vhr/PXx6yDGnhDHgK7c34gf3bbW1\neo33LQauZ22Xa+eu5b8KCc+IPtV/+9UdSV9Ep9eEUMsMtlOcxPPBgB/PHr+gXwSKwvHAHY3waaPa\nEmp7aShcjRc/85te9I9FTN13OFQX1PmxCELaXNWNdTVLYsy5uiNFAVN4WY5ULAUxLqQl7JV8nVu+\nrOVytJSDF4exanBMfeBGjBlw8OF200Ca/buasbstCKZVYljhHHj/4qTjPp3uW0ahjsYVPHv8QllY\nyizFoKacs3v3bn727NmCHY8w45Tsla5b1/5dzfiVwyqXQU0C+9DSoSclnMM/E0Hd5ZGyLHPK9c05\nH0JcquTScs6HtVxulvLcunoMPbgXXJRApRBmv8xw+Km9JpfyYy926p4ziQFP/cUWRBbj6B2ZxUeh\nWXCoCV5/+9UdeHrfNtv92t23jBayaj2rlSHFaCkzxro457vdbEsu6woi1RQnYzcdDtV18vltarZ1\n/1hErTOGaTwxAECWgJoq2XPfankhWna9qovZKi5lETaSS7d2PlzY5ea+DkzOoPXNkxi/ZycW1tal\nFOSEwvWclWPdIfSOzJrCWAoH3rswiYc+uxE7N9ahf7zPFFpzMhjs7lvCE/js8Qu6MVAOdckkyGVO\nOqtYPN81GMbIzLyp9ECUPj3zm14921qIrsSADXUrMBFZxPHz49bD2mPoAFQ9cyNnn7EYKEYxLhcR\ndiIX4pyP8qhyFOXG033qVKgUXbxkWQ15Ga1iK+fHIvhkrB/VVUutMIUb+rEXO3WBPvz99JZuR1sQ\nP3pgO85cuVY2Pa5JkMsMo9ACsE18sOsRq88plRi+fHsjAOBodwgMQMym9knhwMjMgv44bYSJc/VN\nEsAUBXWXQzn6xMtPsbmoy12I7RCfORthJlF2JtVUKMFnm+vwZu9VRzEWcADRmIK+0VlsrK9B/1gE\nR84M6e+LxhUc6w65snSzmftejJAglxFWod2/q9kxs9rYl1pcDApXxfft8+O6JeyTYNur2ojbmam+\nm/MIXhgqq7hxMYlxvoR4rjn3Gc+BUH7ONRthzrW1XG6iHLw4jGhtANc+s83WUj7roReBAuDImSE9\nSdSKl8ymYpialysqbyldxlhLmxjgmFktsqY5gI+vXodPYpC0x8aLKq4A61ZVOx5TloCt61e5Oj8u\nS1hbRo1AcinG2Wb/5lqM55oV/b98YNx/Po6Rze8jl0l05ZZ9Lcfi6g82FrLX/GAnMfbLDI/savZ+\ncmUAWchlhLUGef+uZuzf1ay7noEll/b9O9bj7Y/V3rKKwvGde1oxdG3ONlt6/LpzGz3OgTWBKsfX\njciLsYw+VzGSazHOlHwI8XIgjptLy7lYrOVyspQDY9NgiuIq6zoVssQgMyCu9ThgAGSZ4a93tyxr\nJy4vbYfzAQlyGWEXT+kaDOsTUl7pCgGcI65wSEwt4ucKh6xZyw+2b0DnwHRSzDjVwlfhLgaZa0vn\nNR9/ms3HKxrKTYyXS4TtMJ5LrsT5xiYp7y0601Euoiyyrqfbt+JGS6M6UcYwFUqWGL7xmQ14/c+j\n5m5cDKiSJcTjCiSJ4ckv3ILIYhwTkUW82z+BeIJDYkwXY2suTC769qejGJqNkCCXGdZ4itWNDSw1\n9gA4ZKY+Pnx6CH6fhLY1Ac8DIj6dnrN/weDDCoQmKmKikxeWW4yLSYjtyKU4ZyrKuUz2KidRDpzo\nQvjWFox9/jOWVznODIaTF/Fcne60qb5G73cQjSuQGIPC1Q5+icRSq18hjD5Z0o0IL337M8Gpm2Eh\noRhykZCvvqzWTjdVMjNlRCtccxtpX8I1K/2ej5FINWtRK1BeOX7N+8kXIbmyjpdLjPMdG84XuTjn\nTH9vNE3LnsSK5HtFQgFGwskLGA5gdbUPT+/bhvBc1NQJUGLMlOdiFcaY4f7kpm9/pjh1BSskZCEX\nAfl0lVjd2P1jEdNIRVkT6HiCg0kM1+ZyGOc1dBEph/aYxZCgk6molJoAO5Gt1bzclnK5WMmAdk17\n6HP9/PsDGJi6iS1rV+rPSTLDk5+/BX1Xr+PB9g36fU/kwsiahZxQuKu+/dm4sIuhhIoEuQjIt6vE\n6MbuHJjW3UkMwL4d6/Fe/wQ4VFG+NJHDhh3axdp0sqdsMqtzQaYWVyZinCsh9m2cQ3w0kJN95YpM\nE8FIlHNDYHIGTX/SapNdJndZ5yLHExwv/fFTJBIcJy+ri/bH7201CSOQHEMWwmttLpKtYbPcJVQk\nyEWAKEOKJdQEq1y5SkRCFwf0ZAnrqnJ9bTXiDi5nWTNwJYnhc1sb8P7FKfcH18S49lKoLGLHy+2q\n9iLGubSGfRvnbH/OJdkKfSZWczEkepUD4toe+9ydpuQuL8Q1d11c4fiHX/dgaPomamuqTAJs7TJo\nJ7yi9e9yxoCzhQS5WGBaew0XK003bhlrY/dXzw7rjd+tq8+j3SF9oITAJzN8acd6rK2tRvvGOhx8\no8/zR6oZm0bzh+c8v69cKSUxzpf4pjpWLizwuWYlr6JMVnIywYvDqJ6JoP6H/wvOhexnKKdCYtAH\n1yhcdW0bh0UAZgvZyaOYaixtqUCCXASImcTGTMNUQuvGLdM5MK1nVQNANMH1/VrdMgce2okDr/ci\noXAwBqxZ5ce1G1EcPz8Ov0/CVGQRizHvN/q6MrnhLGfsuJBiXEgRTnX8XFjMJMrFCwNw9+YgFuMK\nHr27FUPTN/Hz9wdMBuAIyNEAACAASURBVAGH2kXw+fcu44OLk6b7nZPwFkMMOFtIkIsALys7t/Hm\nPVsaIMtMdwcBQDBgn0EdnovqpQecA1ORpbrixZiCP5wf99TKTnCjeX3Ju6uX01VdKDFebiG2kgth\nLhVRLgfm1tVj6Gt7MejSOuYAtjXW4p+/eSe6BsM4+EafY/vMdz6ZAOfmLOun921zFN7ljgFnCwly\nEeBlZedWvDvagnh0dwtePjUEQHULhefsG3iIfVrd1gKb2RKuiAecW25WEsUqxsUmxFayFeZSEOVy\nsJLnmhqWOne5ZCqyiOdOXMLIzHxK7xtXOCSJgYFDliWMzMyjazBsEt7l7q6VSxj32oA0C3bv3s3P\nnj1bsOOVK15GKj7x0tJIM+O0J+t2R7tDmIos4h2ta44Vu1nIjojs6j9+VNIWci6s42IU42IXYicy\nFWYvWdheRTlXVnIpi/LcunoMfv1z6g3CRQ6MxJYG0kgSs73fAFo7TUNXr1fODusNQkR2tbHJyHJ1\n10oHY6yLc77b1bYkyOWBU2zZSaTFqMX7d6xXW9cZvuh9o7PoHZlFz8isnmzhdqITAIBzrBocQ8uJ\nrjx92vxTjmKcjRDf3uRy5jWA82ONGR/HDZkIM4lyfhnftUOdApVGkGWtXa/4Dae6r2gdfeH3SXhk\nVzMOnx4SE1whSWqHL4kxJBQ13CYz4G+/ugNP79uWmw+VI7wIMrmsSwwn69gptpyqlWY0wU11gbG4\ngvBcFP+kxXYee+Ekotrq1YsYA4B/Nof1zBVCvsS4UEKc6Xu8Cngmrux8uq8pngw0dvcDQEpRliWG\nL922HscN9xzGoLbP1ERV35YttfiNxdVQmgjVMa3dpsIBzlWXNnhy45BShAS5hEiVYW2NLQcDfjx3\n4lKScDvFixmQlLH47d0tOHRqyFtCl+bXXmyoy/rzLheFto69NvxwK8aFFuJsj5WpMAPuxLnYRbnU\n48n+SOrvm6Jw3Q2d0AbcMIkhofVfEK5pDuilluJ+9siuZjyyqxmdA9MIBvx45reqm1ptyc/x5dsb\nsa629HNWSJCXgUyTEFJlWBsTw1LFVcR2R7tDeLUrhERCbU/3rY7mpEkrOzfWobpKrEqd55ea0Czk\n6mnv9YjFwHK5qt3iRoxLRYidjp2Jy9ut1UyinD8imzekfJ0D+shXWWL48m3rcVyr4OCco7amCn//\n9dsBqPfI/buaMRVZxFpNaI3evhP9E3hbs7QTHPiDlo19tDtUlHFkt5SsIJdqZl02favTZViLL6yx\nY000ruDgb/vQvqkO+zXBFf+JFae1JZ3x/L67dzNODkyjcfUK/YJyhGuNTRS+NMi8wvAqxrl2U2cq\nxsspxFayFeZSF+VSpXp6Fjc3rVu6D9ggFvRiII2xQ2Ew4MePX+vBlDaSMZZQ3dgSA45ZhHa9xRoW\n+yvVDl2CkhTkYphbmSnZ9K12Wx4lhFsc51xoFudCs/jVmWH814fb8fi9rfr+hEUs3NvGrl0LMQXP\nvz+g7XUWElNjOynLoDgH40pJDpModAOQYhDjYhJiK7c3jZekKGdLqVrJ+iLcZV/r8FxUtY6h3lMO\nvN6DuM2v2e5euX9XM17pCuneO1lS49ClHkcuSUEuhrmVmZJtezc3he9CuJ89fgEfGPpPJxSOA6/3\nYkdTra1F7JOYfoHYoaTr7KnFj1dMhEtumEQxx43zIcbFLMRGsokvL5coV6rr2uv0p/BcDDFtdW83\nwlUvjdLGIVrzYp75hqHDIIDv3NOqewFLlZIU5FLuWVqo9m4dbUH86IHtODUwrWdKA+oXXyxgugbD\nePb4BSxohflRFx1A3FTJcVnO+LxLlXyIcT6StzIV4i+t/SSj96XinanbXG+biTDnWpS9UImua7vp\nT05lTT6ZIRioMj0nAXo5lCwxPHp3C9o31jnWGxs7DCYUjo31NSUtxkCJCnKp9ywtVHu3jrYgDj+1\nF//y5nmcuRIGoF4cwYBft4wz6VHtiKbWgasepkIVAcUw5zhT8i3G+RBi4769iDKQuRs7FW5FmVzX\n6ameiag/aHFkp/X7rpZ6dA0tedFkpt6vzl4JQ9EeP2Kwdu0mOZWyYeZE7peGBaKjLYin920rOTEu\nNB1tQdy/Yz2MDqS+0VnbCU9Zo62KKy2hK59Z1bmi2MQ4m2Pc3jTu+vMsZ1eyUvhe5Jq5poa0HbsY\ngDNXwiY3NQdwWhNjQB3J+OzxC+gaVA0JIb4yWyrPFIbZ3351R0nlEaWiJC1kAnq7SwakjZvs2dKA\nKi3JCwB+dXooZaw4I4QvWynNhK5CkUt3tVuxKVYxth5rOa3lYrWSSw15QeuX7yLT2og1hKwA+OOl\nKZy5ck0XWzuvaKkPk7BSshZyJSO6aB06NYSXTw3hsRc79ZWkHR1tQXyro1m3khPcfAHcszkIn+Qu\nM9IR7eKrvzBccgld5Uyxi3G2x3Xz+Uq1d3cpklihTZRzmWntBIM5uxqoDK8oCXIJ0jkwrWcnAuYv\nrROP7GpGdZUEu8skshCHYsjWqg9U2W6XEq6qfN3lkNd3LiuFjB8X2jouJTHO5vi5EuVs50nng1LL\nbwiMTYMlFHfZnw6Ibl5G93ShECWgqQycfEKCXILs2dKAKnlJMn0yc/zSii8YALz85B48cEeyi288\nsmiymL+zuwWy7E6SmfYfFI6mkz0VZx0Xa5ywFMVYkC9RzhVeStaK9fuRLwKTM2js7PUsyEKEJQDV\nVRIOPtyeFBvORCy9vEckuv7srX488VJqr2O+oBhyCdLRFsQzf9mOn/66R60NdtjOroGKtcMNAMTi\nCf1nCcD1xTgUm7pAO6p8Eu7fvg6nj55ayrAkMiYX1nEpi7EgHxnYy1kGVUnMbt3k2WXNGPD9L9yC\nvqvX8WD7Br15kaBrMIzHXlwaJXv4+3sAIGWljdcGUsXQ34IEuUQxdbkx1BYbsX7BjnWH8MrZ5PnE\nkUVVkBkAf5WEKYvFnIpYXMFbvVeBHa2YvbUFrb8/WXFWshu8DpBwohLEWJCJKBcKSu5yJlbrfTym\nwqF3BTxz5RoA9R4nxPZYd0hPSo3GFfz8vct4/+IkonEFEmM4aOhAKLC7/6US8GIooyJBLlHcfHmM\n28iyhN6RWVPs2Urj6mp8+fZGTEYWXZ2DXvSvlTlwKJhraigZQc42Ppdrd+RyxDCLVYwFXkW5HK3k\nUqtHXn15RB3DmCELMQUHXu+Fwrlu2VrvWuPXF3SxVXhyB0Ig+f73ytlhfe67nbVcDP0tSJBLFDdf\nHrGNsIw/Cs2mLHWauhnF4dND8EkMsqROd0rFymoZNxYTestMAFTyZEOxWsduxfjrqz72tF8v/O7G\nHWm3ybUo5wq3VnKlde1KN4bRDWLesXAdP7KrGa+eHUYswVElMzx6dyv6Rnv1ZFTF4iUUw4cOPLQT\n4bkoRmbm8avTQ2nd0ctdRkWCXMK47WstsrKFGEsMeOovtqC2pgqR+RhODkzjZjSByxM3wAHEEhw1\nfhlz0USqXatiDBhqkHNa2VxRFNo6LgYxFvt3K8qA91plO0rRSi4l0o1hTEegSkJM4WCGYRGi66Aw\nQABg323r8c4nE+AKh79qyUtoFzsG1IlRxd7Vi75xZYZdVuGeLQ2QLXXGtTVVeHrfNrQ2rETv6HVc\n0sQYUN3Q6cQ4CcYAiamdekqAQrmri9E6LhYxzuQ4bs893e+DapPzR+2Vq1m9fy6mIJbg+PLtjUmz\n3J/ep7rCn3ipE384Pw6ZAY/d22razik5qxS6epEglxFOafsdbUEcfLgdPolBYoBfWyEeOjWEn7zW\nYztpxRPkss6KbK3jUhbjTI6XK1FOh5u/i9sFV7b5BqVUjxy8OAx5biGrWmQAOH3lGvrHkis3jIJr\nN1TCrs0mUBqNRchlXUakStt//N5W7GiqRefANIIBP452h/QWmrmiZvxaySR0lRK5suaKVYyNx3Xj\nvgZyk4HtxnVNZEbdpVBWiV0AMDMXw49f6wEAUwa1KVlLYhidmUfXYNhkSS93clamkCCXEekyr8UX\nU0x5sooxg+r+WV3t00sQvFA9cyPDMy9P3FhPhbCOvWRSL5cYG4+fS1EuRIIXlUAlo/ir0m/kkiNn\nhnRjwjhU4mh3CK92hXD49BCOdof0BC6xTSkJsYAEuYxwszIUVrSdGP/gi1vw91+/XV+VusLglpKi\nscxOvMAUW7lTKrK1jktJjAWFtJTTWcmU3JUZ8ZrkBkSZUu2TdCNClpZqjjsHphFPqB7BaDy5VKoU\nBZm+aWVGujiJsKLt+uj88uQVHDo1hFe7PPaj1rryLDbUeXtfGZOrZK5UpLOOS1GMBbmMKReyrWYq\nKimO7Jt318vADXUBv+7RiytqzXHXYNgUK5YYQ0LhSQMpSg0S5Aqjoy2IAw/tTOpsx6F+kd/svYp4\nugJkK5qVXD09m5uTrBDSuatTWce5EuOvr/q46MRY4OXcshHldF6IXCZ3VQp1l0Ouk7pub6rFpmAN\nJKZ66owFIRID1tdWm6pEFM6TMqcPPtyO6qrkRK5Sg1zWJYwofnebuCC2H5mZT7pWGABZlvBg+wac\nuXLNNsbsCGOAokCOxb1+hJKjFIYFFHv3La94qVUu1lablUZgcgY149cwv2Ft2m3Pj0X08a9c+5+Y\nbVPlk7B/VzN2bqwzuaSNmdMATE1ASi2RywgJcglgJ7xeG6cbt/fJEqpkhniCq5ayqqcA59jRVIuX\nn9yDg7/tw7mQC4tXlDxxKnkiCGKJ6pkbrgQZUMuXRByNA2ASw1/vbsEju5r1BC1rYhfg/T5Y7JAg\nFzlOXzg3k0kOnRrCm71X8WD7BrzbP4GFmOp6SyQUfOeeVmysr8HozDwOa+VPCYXjaHcIm+pr8Ojd\nregZ6UnffEubg1yJoxcJgnDGS5In1/+nPVY4GKDHgoUopxugsxwTmnIJCXKR4/SFS1fidOjUkJ4t\n/cHFKfNOGcOENkBi58Y6U03fq10hxBMKGGPuOmFyjjW9lxG8mDxFisgc6iRFlDpzLq1jKyJ8JoZB\n+CSG+3esx9raat1iFrid0OQ1vLdckCAXOeILF42rIhkM+AGkL3F6s9e5fV1C4Xj7YzXJxe+T8Mw3\n1NiLsJYVDvdddhjDtfatqB0eJwuZyAtuS6CI4oIlPLbf1eAA1q3y4+rsglrSlOB4S7tfvXp2GIef\n2uvYBAQAnjtxqWTd2pQaWIQY+1GLrGiR1n/wjT5TS0zR2/W5E5dw6NSQ/r4H2901eI/FFYTnonh6\n3zbs39UMSbIriEqBNnqxVHpYEwSRf+bW1WN+vbPorVlZlVTpYWRkRhVj6yaxBNfd2OI+CcDU49ra\nOtjOy1iskIVcZFhXcwce2ok3e68ioXC9NMk6ZkxsL77A1VXqKvCHX9yCn78/YMqWltQZENBmfcMn\nM5wbnsGPX+tB+8Y6KF77WlMP64xYjtnHBFEo5poaAMnZ3rt20118eeu6lRiYuqmHz6pkhj1bGmyt\n3kzDe8UECXKRYfxSRQ2DujlUd4a1d6txewAm0a6tSW5f99g9rdi/qxnPv3cZn07dxKdTN3R3kMQy\nnKDIgEhLI7msNagmlah05IVoTvYzeE3NpZAlhi/dth4/vG8rOtqCeO7EpSTxdRLeUuptnVaQGWO/\nAPAQgAnOebv23BoARwBsBnAFwF9zzsNO+yDcY/xSqYlVavcZiQF3bqrD+bGI3rv15Sf3mGLMCldF\n2/hlrJIZoglVZf1aTR8AfHBxMqnWODMxVsueIps3oLG7P7sPTxBEWZBY4c/JfmLavUsGx10t9eho\nC6JrMIzRmXn4JDWMZ5yZ7CS8pdLb2o2F/EsA/wrgPwzP/T2AP3DO/4Ux9vfa47/L/elVHsYvVTDg\nx8E3+vQVX/umOvSMzJpWhU/v22ba3loYf/ipvTjaHQIDsF/LUBSrS6v+ygxIeBVlzWW9YoLWYwRB\nqATGptUVvpw6J0WWGBQtHOf0OviS6Fr7KTx6T0tS5nUpk1aQOefvM8Y2W55+GMD92s//DuBdkCDn\nBGt6vrEYHgCOdodsXTJOX0i716zjy0RJAQPw8qkhbyesWcgrZmnSE0EQHuHJYqxpMKp8Er73uc3o\nu3odD7ZvSHJVx+MKhq8tlQemy6YuhdKnTGPIjZzzqwDAOb/KGFvvtCFj7CkATwFAa2ur02YEnL9Q\nxi9PNrEQ4xfSbj+H0ohxc/0KhGYWzE9qFnKuYkYEQZQ+c00NySnSNtiFybasXYlv7mrWPYTRuIIz\nV65hR1MtggE/JMbAOYcC4I+XpnDmyrWUSV1A6ZQ+5T37hHP+Aud8N+d897p16/J9uJLGTXp+umlO\nTogvpCgJ6B+LYHRmHs+/dxk/ea0HXYNh9I2mbpWZJMaAZiHnLmZEEETpo7us02C3xZqVfjy9bxvC\nc1HT/fBodwgH3+iDwtWWvwzqIRZjCg7+tg/BgF+f/mTNpjYly8YVPHv8gl4WVUxkaiGPM8Y2aNbx\nBgATuTypSiWf6fnWL+RPX+9V+8dqpLOOHeFqrRVZyARBGNHW6p65tbEWAHRrGFBjyJfGI3r7X4kB\nkpbUxQGcC83i/Fif3uTI6kG0Jr9+eHHJsi4mSzlTC/k3AP5G+/lvALyem9OpbIzjxHL9RRFfbvXr\nDZMYQ3suk4tHVPcv0CxkgiA05poawFN1/tCwbsGY2s63azCMg2/0IaFwSIzhazubcPrKkkUryqCM\nGJscWe+d4t76+W1r9XtgMTYJSSvIjLHDAE4C2MEYCzHG/ncA/wLgK4yxiwC+oj0mckCmLulUiC93\nXFtNuu2K6YV4TXXud0oQREkiL0SRshWXRuuagOkx58DBN/pwtDukV4JwzvHnYXOPgzs2rMYP79sK\nvyGLO51XsaMtiB89sL2o5ya7ybJ+zOGlL+f4XAgbcpEZeLQ7hMUYdYYiCKIwuM0pGbyWPEQlFlfA\nAEM/BiBm8eg9encrOtqCtmWdqSj2JiHUqauIscsMBODpy9Q1GMarXaHM3NEEQRAZkKjSpIVzV5ay\nEcZUcRUdBd/+eBwj4XkAwLb1q/C9z9+Cx+9dqtjZVF/jSVyLuUkICXIR4GQFW7Ouj3WHdFeO29T9\nzoFpxBP21nHGrTJtSFQnt+kkCKIyWRQ5JR7FGFD77PePRfD4va1YiJknRm2oW6GLcamUMnmBmu4u\nM9ZyJGMqvsgMFPEODnieWiL2IYY4SVAHSsjaE16HOznBZTk3OyKIDHln6rblPgVCo/aKNv41w4SV\nI2fUqg/r1Drj41Ka4uQWspCXGacvlV0DDwA4ZujUFQz4k2Z/WrG24kyae+zAZ5vrsHdLA/795BXM\np4o/axdc/YUMy6ZKjNpP5xG5pSblNqtGlGUdMPHO1G340tpPlu34BBG8OIxrt7Uhurbe9Pxf3bUR\nvzk3qt97nLx0fVev49CpIYTnovjhF7fo3bqMrupSmuLkFhLkZcb6pQoG/EluGDHrE0BSn2s37hpr\nzOTQqdRiDAAfhWbRPx7BZzbVmcoN7JDnFhC8OOz+QxMIhKSUIxjjowH4NiYnvAjOjzXi9qZxx9fd\nivLvbtyBr6/6OO12y8Xvbtzhart01vH5scZcnA7hgepwJEmQe0evY3dbEKMz81hRJWPLulV4++Px\npBwXReH6pDun+1uxJ2hlArmsHRDDr/PdzcVae2ztTmN1w4iyqHTbpTr/8Fw0bVc7UacXWYin/QyJ\nmhUI39qSdjvCG/HRQPqNUuDWhetW9ArJ727cUTAxTvd7DoTS3yZXjeS/isF3eSTvx8gVc+vq/3/2\n3j64jfPO8/w+3QApUaJIiOKbBJIyKYm2SNkOScuU7UR2bGejGdlyJDuKnb3ZbM4v2XLNTG7ubl+S\niVanzGzd3u7Uee7KVbHjzU3tja3YluQ4do1zthK/R28kx7JIydQ7SYgiKVIgRAkUQaCf+6PRze5G\nA+jGC9EAf58ql0Wi0WiA6Of7/N4x1bQq5vdnx67j6EU/fJM3cfbKDXzYP2a6FglMbvqhjKGN11nL\nrEx0vtbubECCbEKiuG420H6pjHHjeG4YbWyYMQZPyVyZQbLr95QUQRQYBABFIkORSzAXaMYwes2k\nXabhGDBgZNMGBCvLEx/rENJd2EovTCc9xsoCbWWhT4QVqy8fRdnOteRT3NjK96ZQCDR5LSV0hSMc\njVVLdb+rWVaMp++7BcVuAQIACXJnrZ0vHUraUTDe2pcvIk2CbEIukwWsdutqb/Bg19YWdSe5590+\n9cuW6PqVJiES5xAEht2PtmL3Iy26pC/l3xGJY3J6NvlFMwYITL4JiYySzHorNFHOtBgXinWcb9jZ\nnE+HwhAFphoFo9dm8A+HLmLX1hbcu3aus1ZY4vjr35xQe++bYbb2zbeBlQ4kyCZYtVKzhdVuXf5g\nCFJ0fJlWeM2uX9khHoiWTUlc7oDjD4bQOxxQ5yBL0CdZSBxYX1uKYhd9VewyH1ayVfJBlOfbMk43\nJEDEx2pjEA7g0uRNRCSOpqqluraWfcMB1C0v0RnaEpdHxMYTVrO1L5+ysSmpy4R8SRaIl2VovH4A\nc0O9BQZBYOARDlFg6GyswIEeX8LXubPeA7co4LgvzjSoaKa1ELJgTRO2STfBS8HJiV6ZihdrSTeR\na742S1bIp/gxICd0BZckrkaIgctrksQ5RFHAm11DcrtfkwTUmVl5+pPVRK98ycYmQY6Dk7u5KCTa\nOCj/PtDjQ++lwNxQ7wgHU3zS0a3n9jYv3ugawmwk9psvRsec3bJiSXxBZvJE8Zk8GjDhOncJYZOk\nE6tYKX+ySrKM60xiR5QBzIswZ0OMk5Ep69iqu3ohxY+DleUIrrQ/avfi1SDCEofAgDu9Zega8Met\nBuEA9nX7sMOkXaZx7c4XAwsgQc574m0cugf8ePKXslWsIDA5e1Fxc0cisvvm+QfW4ImOOuw9Mhjb\nYpMx7D06GB2DFofoFlZtBkCoZKomOVNWMmCvTjnb1nK2xLiQrON8I1hTIe/ikyR1iQJDW305QmEJ\nxS5BLa+UONA14JdPgfhT6JT1y4rA5oOBBZAgFwxK+01t849ZjRgzAPeuWYGW2mV45bML4NEes8eH\nJtE94MeONi/eOCa7iLTMjWnkCW8OSBKKJ6ey8M4WBlasZKeLcrbiz5kWY4odZ5eSkQlZVZPsaSIS\nx/3NVehsrMDOlw/pHtM2DhFlBxxEUcDmdZX4+PQVRCLOdz+nAglyAaBkEc7MSqpgukQGl8hUN7Rb\nZNjSWovd7/SpohuRON4/OYqPTl/B7kdasLZqKU6NmIsq5wnEmDFAEDDR2oSSD7sz++YKgFx37oqH\nXVHOBU4uayJ3tTklVyZRcnkcwbrkXoq3enz4uH8MYZNwGSAL80O3VeOOunLV3WzW+z8TU/GcAAly\nHmL88ilZhNqvdDjCsXG1BzNhCVXLFuFHm5vUDGsjs2EJf/2bEwm7d1npSHu9vhrBynKUXJlMfrAD\ncFIcGZh/KxmYEzwnttpMRYwzYR07zV2dbwldo23NCHqrLB179soN4MqNhMdUlhbruhUa3c/aIRMu\nUcDj7V7T2HI+4KxvHpEUs5o6Jds65tjBSZy4FMCnZ64AiC+qLBNTnxgDGNUiO4FU4qdOs0Sddj1G\nqPY4PoEMdu0TGNCyMjZZVNvoQ1vWFApL2JugLMrpkCDnAYm+fC8cPA1A7nH98Hr9QixFW88ptXc7\n2rwQDXkWd3jL0GFjJ5mh4VALDqsLuBXrzIqVl8+inOp1FKJ1nJekOOHJCIueStv0CIg1SjwlRbpu\ng8a+DNrnOb1bF337HE68L58yJeWzM+P4/iuHAQB31pWrXbYY5CxGbYF8e4MHP39sg1yLzIBFbgE7\n76rHF0PWXcxxbzXOgYiEsnOJa5oLDSfHB/NRlLMlxrnCyd+PbFF0LbELOh6KoAoAXNGFTCuuiqDu\n1zQ3mg1L8AdDePXpTjx1dz2KRGba0ClfunVRDNnhGLvMKF++Fw6exqdnxuUZybOSGlPWFsDv2toC\nfzAET0mRultUxpe913sZW1pr4Q+G1CQvBtlFxJEkiSseeWg+pxtHtoPV5K5MxJIV7MaUgdyMb8y2\nEGfSOp5Pd3W+xY+DleWYrrQfu2UMeHJjPVpXlqlr1p53+0yn4LlEAS5BbhmsNTbaGzzY3uY1Te4y\n69blxBgzCbLDMevG1d7gwZbWWnx6ZhyA3O7SU1JkWgD/2pFBdYyZSxRw/7pKfNQ/hrDEceziVeza\n2qI7/w82rcYrn11A2K7bKZppHWjy5k1SV75TKKJcaFbxQiZYU4HoxBtbz9t2x0qsKl+M5ppSALKA\nKgaFsf1lJCLhexvrsbJ8sWlDJDOhzZfZySTIDidelxl/MKS6rQUm/6wcry0F2PV2r2oBh8IS3j85\ntzDPzEroHQ7oZiy/13tZU3tMZJpMWsl2cKooz4cY56t1nI+UjEyASRzcRjD0sTtX4nd9I/jt8WG4\nRAGSJCEiyaWae5/dhPYGD/pHpuTmRFy2irebZFEnKn3Kl25dJMh5gNmuz8qO7/D5iYTiygG82TUE\nAGhdWYY97/bpyqdEBrSuKsOXvkBy9/UC7med6fInO1i1kgHnibJTxDhbLMT4ccmVSSy9MIwpG5nW\nF8Zv6BJVFUIRjl98fA4/2tykm1C3a2uLqRgrLu0il2A6KS8funWRIDuERLs7s8es7Pg6GytQ7BYQ\nmpWAOKVNsxGOvUcG1abu2mMiPEkPay3R3WuwdgWAfjtvPefMZxwZyLyVPB+i7ASy5aJ2qnWcb/Fj\nQI4hT5ncSxVL3Ji4Yb5Z7xsOqANvwPRJ2n/4agxVpcWqYDPIE+rMejEojZHiDZ7IB0iQHUCi3V2i\nx5Lt+LSiPTw5jb1HB01FWZk1KgospmThk9NXdD+vqVyCuxsr8JpZ32sANyuW5VVzEAWnNQlRyJYo\nA7AtzLkiFSG2ahlnq8wpXes4H8UYiMaQTYgnxgAQkQBBiCaRGhYVLsl997XeQG2Cl7ImekqK1Kcq\nnr98bA5CZU8Oe9fWNwAAIABJREFUING8znRneSqzlbe3eU2bh2hhkLt7afEH9TfSufEb6LsUx4Ud\nbQ4S76YsdOwswnasLauiYdc9e2qk2tGJUaleXzbE2M7fayG6qhXEmyHbCV0ccs8EM1wiAwOwa2sL\n/upbzXj16U74g6GYNdEfDOmKPMIR7ui5x/EgQXYAZkO1rTxmh/YGD3ZtbVHrlM3gHFhTXYqNqz3q\nPWW8TTgHvkgyFznizk/HSyasknwTZcB5wpzO9RSCGOerdQwANyvKkgryYnfsZ28mx2sql6jT5va8\n26e6p83WxM7GCrg1XY+cnEmdCMYz1FXFCh0dHbyrq2veXi+fsBtDTuX8Lxw8jc/Pjuvc1toJTiID\nBIEhHOH2a5AVot+nms+/hOfMUKpnySnpxpPtuq7tDJ6wmnlt1X1tRq5c2eluCnItxsDCdVUDcvz4\n8j23I7R8WcLj4k2NW1O5BANXgwhH5EzqJ9q9aphNZMBffatZ7Wkdb8DE/h4fGGCaha0w34MoGGPd\nnPMOK8fmpylTgCSKB6ebHdg94MeTLx9CKDLXAEQbb1GIcCCimbqijDS1VQUVTe6aWl2bt4KcLnbj\nyXamQdmJKQOpCfN8x5jnS4gBZ4txPhOsLMfgtzeBC8k/33jLyaB/Gv/bo61q7bFa6gRuyeK1sk4a\nc3K0tc5OiDeTIOcRqe7s9vf4VDEGgOplxRibmokrtAxyDeATHXUYm5rBBydtLMxRC7n04mXrz3EY\nmci6zrYoA9asZa1Y2RXnbAuzU4UYyI0Y57V1XFMhi3GimFgSIhG5E+HzD6xRGxqFJQ6XodRJK6oC\nY9izrVXtQJgM4ywApWlSvFKp+YYEOU+wUmcXj/GpGd3Pt3vL8cmZKwjNStAuOwLkbMeWlWXYeVc9\nnrq7Hq8dGbQnyABKfGN5bx07XZQB+81DUrWanRRfTiVGTmKcfeRkLnvPua2mFEUuAb3D1yBJHKIo\nW8HGhkaSxNXGR4BeVCXOsevtXjTXlFpaD7X9GxiT229q+2XnWpApqStPSDXbunvAj4/6x9Sf3SLD\nc5ub8OrTnXjy7np1+pMoAA+ur4YgCDhxKYA97/bhtSODeK/XpqXLGILeKvgzOIItn7G7WNsVg1TK\ndsLDJTltmJEKqV5zPohxIRBZVGT7OXXLS7Dzrnq1tEmSJPSPTOGFg6f1DY0YMDU9q05q6mysiLqy\nZSTJeka1Ugr6V99qxp5trSh2p58wm0nIQs4TOhsr4BIYZiNyvbDVL8/h8xO64RFPdNSpu8D9PT4o\nnuyIBIxdu4lwRO/OSbWN5simDSienMq7emQt890wRCHblrJCOnHm+SKdjUO2xThT5Lt1DEQtZM5t\nlTz9oX8MB0+Nql66sAT87O1eSJI+qVTiwC8+Oa9OsNuzrRV7trXK7maJo8htT0y1sebmmlJHtdMk\nQc4nogkOdr70xhabO9q8AGTLue+Svnyp2CWoSRQMUIU85jLkq5A9VLG9RKL1yBzBmoq8FmQgN65r\nYP5EGXCmMKdrwc+HGJOrWiZYWY6RTa1yvMsG4Ujs+pKs1W9Ykl3Urz+3Ca8/tyltMXVaO00S5Dzh\n8PkJhCNya7hIxHq8w6zFphKPnpmVFyEGuQD/i6FJRCQu52UwM6WV4z6nRqYAmHfWkR+QfyneDJk8\nuDBxuigDzhDmTLjS80WMC4VAk9eyGDMAoshMxVgUAFEQVC+dduOvs5ijLurnH1jjKDHNBCTIeUIm\nx4cp8WgOOYng3rUrULe8BL8+KrfDlDig1KczyLXJypSVZN2+5CfJFvzIpg0AQAleUVIVZcB6rXIm\npkTNtzBnMp6dzbImhUyJcSFYxwAQXlxs+VgOYF3VUpy8PBXz2L1NK+BdXgIGObFUmYvsD4ZwZnQK\nvz0+DM6huqjnu554PiBBzhNSHR+mtYaV+ItR3H/80DoAwIEeX0zmNWNAe3051lSXYkebF/0jUzju\nO5H8hRkDhMKIJQO5FWUge2VRici2MOdKiAES40wSKXbHfcysCcjZsRumx35yZhwMQLF7brxi94Af\nB3p8+KcTcnKpGC2BApBy1YmTIUHOI5R4R/eAHy9+eNaSMGunoGjjL2bi/urTnTHdvCQOHL3oxxe+\nAHa0efHU3fX4sH8seSmUkuBRILFkJ5CKCxvInDA7jVQHQ+R6pnEhiXGwshzTVcvj5rWYRbRCkfif\nv7YECYBqTCjnUaY9mVWdFIIgU9lTnqFYvH/3fj++/8phdA/4Ex7f2VghT3GKInGufnmNMZj2Bg9+\n/NA6FLmEmJLCUFjCCwdPo3vAjweaq6xdLOdgEkfJSP41eTcjUwtpOlZWKmJS4hPU/wqBdN5LOmJM\nceNYgjUVtodJJELAXAmSNrQGRBsWaXpXZ6LHv9MgCznPsLszbG/wzJUIRDvSTE3P4n/4b0ewpbVW\n7XCjxGM8JUXY3ubF0QtXcXbsuu5cn58dx7GLV/GNtZXJL5QxLBrzo/z0YEFZx7l2XQP2LWUtmbKa\n55tMbCacIMaFZB0D0UEyJnpcJDJdd0ArbFztwebmKp3XrsglIBRt4vHgrVV4bnOT+tiurS14r/cy\ntrTWFoR1DJAg5x2pJHc9dXe9Wm83NT2LX3xyHgDw6ZlxAHItnhKPUVzVosAgAJAwd79JXB7+bbVz\n180V5RhdvqwgYsjZIFeiDOgFzsninCmrnsQ4OwRrzdcfu2IMAGUlRerwCGBuQp3SD+GTM1fw3OYm\nALIBsefdPoTCEo5dvGq5U5fTKQwf1gJC22nGTiKD4qLuu3xN9/v3ei/rrG6FiMTV5C51eDjk/2tv\nNZeY4EUFBi4U3nzkTC6s8+2+NsNp7uxMu9idIMaFSLCyHDdXlCd1WSu98cUknm2zh/3BECTOY2LL\n6c6JdyrOuQsJy5jFf62ypbU25mdPSREExuK2opUSrGfhSPLXjLhdGN/QhGBlufULdTiFJspA7mPN\nmX7tpZckx4hxIVrHgSavpfixUkv888c24OH11fCWLzI97qP+MTUnRklc9ZQUmcaKFU+hAIAxBk+J\n/dadToRc1gsEbc3ef/rOBjX2orirJS635PSUuHHlur6hh1tk8g41BTcUBAFXb1+jJnjV/+5Qwbiv\nM9laM133NWBvrnIy5sulnS3xT3ejQmKcmGBlOYLV8bOrjYSjAyJ++Wcd+OlbJ/DqkcGYY2YjHAd6\nfACQdESi1p0tcY497/YVhNuaBHkBYDYpSknmevHDs6rrh4Hja/UevK+JEW9c7cG/23Ib9vf4sPfI\nYNxZpkkRBHBIBVcClWlRBpCzuHI8nOTOToaThBgoXDEe+PamJPGqWBQrdswwfU6pVeYA3uySmwhp\n3dHKSEYjiju7kEqfSJAXAMZ4y4Een2otG5PEntvchMYVS/DSJ+fBAXwxJItn68oyiMLcuDJbaNpw\nFmI7zUwPoXCatZwvkBhnn2BlOUY3ttgWY4kDu3/bCwD4+PQV9fdK4qjCbEReX6wkrlpNcM2njl6M\nm/QrzhYdHR28q6tr3l6PkFEs5NmwBFEUAM4RluaGcgPQfWF/8tYJvKZxKd1WU4ozY9cRkTgYA+5b\nswKfaZqHWIZzMElC/XuF47bWko3JUKkKs5ZCFudMxNCzkbhViGLsX1uHkXs2RBv+pFZ7fIe3DCcu\nBdRe1dXLijFybc5iFhjw5o/uAYAYETUT1mRim84c+UzBGOvmnHdYOZYs5AWAtu3mpclp/ProoM7N\nY0wQM95qyjAJQDZ0Pzs7rju2oaIEI9du4uZsksWRMXBBQKDJW5CCnI1xjelYywpa0SoEcc5kIhtZ\nxdbIhBgD8kQ5rVX72J2r1DJMAHj26426OLGCVlhdAsMTHXVqe81EAptvHb1IkBcI2rabSs/qeNmJ\n29u8+PWxobij0JTdrdI55541K9C6sgy7f9trqf5wpnwpxjc0oWRkouCEOVuiDGTGWs5Xcc50u0uy\niq0jj1dMX4wBudbY2La3vmKJmmSq5LYY0QprKMLx2pFB7O/xJbV4MzmUZz4gl/UC5LUjg7rOXWZf\nauWYZDHjqAccAmPwehbj4oSFQQTKd44Dped88H52PPU341Cy4b4GMiPKZjhRnLPVc5rE2B5DD7Tj\nekONLTEWotptbFu9vrYUf3r7StvxXO2QHGU9EhnwV99qNk34Mj43lzFkclkTCbGSnajt7nV8aFKX\nea1FueEkzq2JMaC5sTmm1njhAwpOlJUF2snWshanWM7ZHPyQrSYfhSzG/rV1uF5fbft5EgeYyU7+\n5OUpnLrcD7fIsPfZTTFu6XjCqYTd9vf4sK/bh0jEusWbzK3tJEiQFyBW3ThaN/dH/WOm7miz8Wpm\nuAUgJsQczb6eWuNFsH+g4NzXQHZc2EBmYsvxmO9M7fmYvkRibJ90XdXx1gYO2e28v8enS85Klnyl\nrEc72rx5kzVtFxLkBYjZbOVku9Pdj7biJ2/p5yB/Y+0KLHKLca1nLXHzvaKiXGj1yVryUZSB3I8p\nzATZbH1Z6GI8fue6aLJIcjE2E99k356+SwF0D/jR3uCxlXyVTxavXUiQFyjaL3X3gB9P/vKwajHv\nfaZT99jh8xMYnoxd2ALTs/jLh9bh91+N6RLArFrNANR4cmB1bUEmeSlkU5SB7MWW8xkS49RQG38I\nghwMhvw/sxzPxW4B/2rTajzcUoN/t+84zl65kfDcmpYE+NIXwJO/PIzH271oXVmmeu1EUcClyWlV\nrBcSzsvkIDKG0g/W2B/WOEP5QI9PnTsaCkt46eNz6vHK7OU3u4ZiyqGqly1Ce4MHP9/WqjaOLxIZ\ntt25EkXJOskrRHffoYoyDGzZVFD9ro1kcxGnIQhzlF6YJjFOg0CTV87W1MxRv31VmemxYYnj/PgN\n7O/x4Yf3Ncbc96IgJ1+pv+Vzp1XWm71HBrHn3T7s2tqC722sBzjHr48OWpr3XmiQhVygGGMyu7a2\nqOPKjDEa48b391+NqZax4kaKSBwPr6/GwVOjkDjgEpk6Cg2AuvWNcOA3Xwzbu1jFJVbANcoK2bKU\nAbKWgexvTApdjAEgvLg45ndf+AKmx85GuBqycgnAN2+txgcnR9WBEq0ry7Dzrnq813sZnyvNhAwL\nDoc81rV3OIBV5YsRluYSTvdrugouBGuZLOQCxRiTea/3ctxxZTvavLrRaJxzHD4/oU6BEqKTVp7b\n3IQ3f3QP/td/0YzXoxmS3QN+/CxaHgXAtHb5G2tXQBSsWcyTzfXwr61L7807nGwv6oqFuFCs5vl6\nvwtBjIOV5QgtW5JSEldYksXV7RLUsNVxXwC73+nDltZadWqT2VLAAezr9ummO4kCw75uH/7u/f6U\nreV4XkGnQhZygWLMpN7SWotjF6+aZla3N3jw88c26GqTPSVF2PNuH8ISh8CAH2xabdpB50CPL2n8\n+PToVNwmIzqii8DIPRsAAJ4zQ6m9+Twgm5ayFqNIFYL1nIuNxkIR41SGRmhhAMD1vQtCYQkf9Y9h\ne5sX41Mz+LB/DJFoxYY2Nh2ODpJQEk6HJ6ex19BVMJXa5Vy2zbQLCXKBYpZJrdQVm7l/tHXHnY0V\nOHx+AjPR1GiJA698dgEPt9Toun1xAGdHp3TnWVwkIhjSD0nW9qpNikaUiyenyH2dYfJNoJ1g5S8E\nMQY0sWObKAavS2QYvXbTtDzy4MlRgMkNhKRoVhcD0NHgwdGLsvUqQZ4IpS233N/jS7nLVr61zQRI\nkAsaY3lAsnIB4+OiwBCObl+lqBsbAJ78pbzrNMMoxlosZ19HRbnQ48lAbkRZi5ng5VKknSDAWhaC\nGAcryzHWfiumqzwpuaqrlxUjFJEQCM7iyzixZgmIzljkEAQGBg63S8Da6lJ0DfghRZO9/MG5aXBm\nRoUd8q1tJkCCTMShvcGDPdtadW5sxXKejSPGybDbpHWmfGlKr5NvZKurV6rMpxXtNAFWWAhCDETd\n1FuiJU4pYscD5hIZdj/aCn8wpApkIis4nZrjdAU9F5AgEyrG5iBaN7anpEj9v9slxLWQM8l0dQX8\na+sKOpasxWnCrOBU0cwGC0WIFQJNXlmMLVjGt9WUosgloHc4ENOj2ojAAJcoIBKRoHiwGYAnOupi\nBkhkUzTzrYlIWoLMGPufADwN2fg5AeBfc85vZuLCiPlF27xdFBj2bGvFU3fXq19mbXLE7kda0Dcc\nQO+lAL70BeJavvGaCViCyQ7ukXs24GZFGcrO+Qrefa3gVGEuZBaaEAOydTzZbD5dyYxZieNvHmlB\n/8gUfvX5BZwbux5z769YWoS2eg8qS4uxvc2L/pEpnZdte5s35rzGJkX5ZNFmmpQFmTG2CsBfAFjP\nOZ9mjL0B4HsA/iFD10bMI0oSF4dc7L/r7V4015SatrXzB0P42+9sUEV8NiyBCUyeDKW5Q1MWY4Xo\nrn2yuQGBtXWo/92hBSPKQO7jywuBhSjECmPtt9rqU3127Dq++9IhiExeI9wiQ1PlUt289PHrIXxw\nchTFbll8jcmiiUQ2H7OiM026LmsXgMWMsVkAJQBsdoQgskEqu8zOxgrTJK72Bk/c5AhjjKZ/ZAo/\n+80JWBiJbB0mt/nhYAXd7zoeZC1nj4UsxsHKctysKLOdxBWROJS0zdkIx+nRqZhkTQ59VrNVt3E+\nZkVnmpQFmXN+iTH2XwEMApgG8D7n/H3jcYyxZwE8CwD19dbdI0RqpLrLjJfEpTxmJc7TXFOKWyqX\n4uzY9aSvV7bYhcB02Nqb4hzgQMnIRPJjCxQS5syxkIUYkEcqjmzaYN6hwwIC5KxpDug234owC0BK\nWc35mBWdaRjnqZkzjDEPgP0AdgKYBPAmgH2c83+M95yOjg7e1dWV0usR1njxw7P4u/f7IXHrA7y1\n2LGuteLvik4kt5rstXyJG1dvzFq+LoTDYBKH+9oN1B7uXXCWshESZvssdCEGomJ87+3yDymUOAGA\nt3wRfJP6VCGRAa2ryrCpsQKli90px4ALMYbMGOvmnHdYOTYdl/VDAC5wzq9EX/QAgHsAxBVkIvuk\nu8vUFuW/+OHZhDeGzsUU4eAJCptEpt9NF9ltQOBygXMuD6H4k3vQ8E9/XNCiTPFl65AQy/jX1qld\n8FIVYwbEiDEg39snLgVwamQKm9dVqtPhjGuHUXCNP+dbVnSmSUeQBwF0MsZKILusHwRA5m+OyUTt\nnVW3tyL+obCkuqvMErkYgO9trEdpsQsvf3oeErfZvUs90dwiMtZ+K1b/7rD9cxQQ5MZODomxzGhb\nM65uWGN5vrEZyaomJC63yfwgOmzizW5fzChXqwNvFiopV4Nzzo8A2AegB3LJkwDg5QxdF5EG7Q0e\nPP/AmpS/3GbJFfFeZ9fWlmg7PPmGNYalBEDNuJyaCcMsQmJ1UqOW6ZqKgh9CYRXXuUskPAboM5nD\nv7YOV29PXYwFBmxc7cGDt1XDbeNmNa4diQbe3JyVsOedPrx2ZDBmGES+DYhIh7SyrDnn/xHAf8zQ\ntRAOwY7b2x8MQYo2k+ccaFyxRB1SLjDg3jUr8OOH1gEA3uwaMnVq287Kjo56XAhDKOxAFjNZxGZc\nXX+L/I8ULWOJA0cv+sEAuEWG22pKdaVOG1d7sLJ8Md4+PqzbcBvXDrOBN0cuXFXzTo77AjjuOwEG\neRP/6tOdALCgSqGoUxcRQyK3tzbmAwDDk9NwRWuQRYFh4GpQPdYlMPz4oXVob/Dg2f/epTadV5aF\ntKqjlCEU995e8EMo7KIVpYUgziTC8fGvrUPIU5qRc3HIZU9FLr1j9eqNELoHJ3ViXLOsGH/x4LqY\nXvrGdaV3OIDXjgzGvI7Wul5IpVAkyIQpZskVZlnV4YgElyhg58Y6MAB7j8o3l9ImDwCe+e9dalwJ\nAASB4efbWvGbf/apk15SImopX+5sRdM7n6V+ngLGTKzyWaRJfK2TiSQuLQIAURTQN6wfIKF4xLSM\nXpvBnnf71OZCCsZ1ZUebF/u6hnQTooxlUwupFIoEmbCMMasa0bzqcETC0NWgOoRcuXlaVpbh+68c\nxs1ZfSmUFM0M+SLOZBgzikRmOtYNAEIVZTi37RtYfvICua8tYBQ1pwo0iW/qqGJsoxNXItwiUzfY\nvz46GPe46B45pjlIPNobPNj77Cbs7/GBAWhZWaYOnlCel28DItKBBJmwjDYGJGosZIkDn50Zx7GL\nV7Frawv8wRA8JUV4r/dyjBgrvNd72dbUqHhirKwAIU+pWl9JomwPJ1jRJL6ZI1hZnlExBuQN+B9O\njeKxO1fJlRWzEox378bVHvQM+hGO3qqiaM2itTMWthDrlLWQIBOWMcaAAOCFg6fx2ZlxcAAzsxI+\n7B9DVWkx/v7g6agVHUuxW0BL7TJ8fnbcNOvaNsqiwzmutDVTTDkDkEDmL4Emb0bFWGHk2gx+8cl5\nbFztwZrqUoxPzeCDk6Nydy4GFLtFtSyKAXi83ZtR0bTThTBfhZsEmbCFcTf744fW4cj5CYQisvta\nGys2wgDct3YFtrTWYvdve9MfPmFCZHExBr+9acENoiAIQLaOA+vSKwdkAKqXFcftFXD0oh9fXgpg\n19YWfHLmii5r+tjFq+rPO0wmO6WD1V7X+TykggSZSAntDvSJjjq8dmQwada0W5Szrg+fn4hrPacN\nY+DCwhxEQRDBmgpwZm2+cTxEkcFTUpSwec/MrITeYVmU3+u9jC2ttQknO2XCYrVajpnPQypIkAnb\nmHXcKXbPxZW0018YgNu9ZWhZVYYdbXMuLHeCJK2U0WSULORBFMTCJeJ2gQksrZLCSITr6oy1KN26\nOIDXjw1inyAgHJFw7OJVNaM6UXWGXYvVKORWErzyeUgFCTJhG7P5yMqN4ikpQu9wAPu6fYhE5Bti\n1yMtMTfP4x11ODs6hZmwhNmIhJOXzRcA2zCGkuExjG5sgSt4ExW958hSJhYE/rV1uHrH2rTPYxRz\nUWD45q1V+NHmJrz08Tm8Hw1LRSQgIsmpXYks0VQt1nhCnuy5mWgfnCtIkAnbmO1AzeoL47muvv/K\nYczMSmoyiBBnDJy3fBFWli/GpclpXDJpaB+PYF01lGyx63XVqDl0gjKviYIlWFmOidYmoNkLzESS\nP8EG31pfjec2N6n38IrSYt3joiB7pRJZoqlarOm4nvN1SAUJMmEbKzvQeDeEcpMpu3CJAzyO6/rS\n5E2MXQ9BkqyXR6koMTQB1GKTKDiCleUI1lQg4nbhamsTIAopiXF5iRtLikTTDS8DcEddue4+bl1Z\npjumvb4ca6tLsb3NPKNacTkr5ZB2LNZ8dj2nCgkykRLJdqDxkjjUCVHReLPAAJcoAJxHRzjOoTQX\nSAtNi81A0ypUdX9FLmwirwlWlmPw25vAlRGmKSRwKXke16ZncX0mHPMYA1DkjhVBfzCk+/lYNON6\nu0lGdSqx4+4Bv9okZHubN29dz6lCgkxknEQ3ota69pQUqbtmQK5p/vTMuHoeBrmFnplY2yKa7DVd\nU4GBLZvQ8B6VRBH5S7CmAlxIPZPaJTK01C7DiUsBSByQIhwNy0sw5A+Cc/nx9bXLsKmxQu0nrdy/\nnpIi3bkSdeSy63LuHvDjyZcPqcmeyvjG5x9Yk9L7zEdIkImMk+xGjGddb2mt1Qnyw+urcX9zFT7q\nH8PotZsIzoRxxqRvriVUF7aA0Y0tqD7aR6JM5CXizRBkKbQmyNqqB0BuXduyqgwnL1+DFBW/gatB\n9bjZCMeXvgCO+wK6yUvtDR74gyHdXGRl02zmTu5srIBLjHb2s9C1y1gOmW8lS5mABJnIOFZiP2Yu\nbX8wpC4KAuQEkt3v9Knj2TLFzcpyDPzJPSjvH0TZOR8JM+FolHixUsp39f6vARbvCQagoaIEFyfm\nprAJjGFHmxd9l2TRVTCGi5T/z8xK2N/jQ3uDJ6Z97hMddXHjx/IJuP7/CehsrNCVQy6UuLEWEmQi\n48RL+lJE2FNShD3v9sW4tDsbK1DsnhNyhtRiyEuLRVyPl+CicfNNNtdjsrkeruvTWPHlWUr6IhyH\nbkgEgPKSIoSmZy0/nwO4s65cJ8hP3yfPR65atghA8gEvcs3xEFpXluGpu+stx3UPn59AWOLq2Ea7\ngyYSCn2BQoJMZAWjW1obVxYYg8Q5JC7vvl/6+BzuqCtHZ2NFTK/sN7qGbHf1iivGWpRev5wjXFqC\nkXtvR6i0BNU9/bZeiyCyxWhbM67eHo2fRgV50oYYA7KFfGH8xpzniQFTM2HNGFVgxdJijF6bicnR\nWFW+SM2+jkgcu97ujdv8w4xUsqTztVwpU5AgE/OCNq4MzsGi9YscwPsnR/H+yVGIDHjm640oXewG\nIN+cSltOM0oXuTB1M2z6mGU0gymu3r4GUpGb3NhEThlta0ZgXR0ii6I1v2m0wRQEhr7L11SxdUW7\neCn3IgPwzduqsa/bFxMaGrl2EyIDlP1wROKq69oK+dygI1cIub4AojDpHvDjxQ/PonvAD2Butywy\nuZziwVurYp4T4cAvPjmP//L/9eP7rxxG94AfrSvLIJqsR0UuAd/fWJ+5C1YskFsbMLhlE4KV5Zk7\nN0FYRLGKI4uKbU9sEph+QVc6bCnzxxmAJzrqsKPNq96Lbpcg1xZzrpY7KUQkWVSV+48DeLNrCD95\n64R6XyejvcGD5x9YQ2JsEbKQiYwTr+zJ2F5TFBgicUY+hWYlHOjxYX+PL2Yq1B3eMuy8qx7+YAiP\n3blSjVWNXw+Znssy0cWPCwLG2m/F6t8dTu98BGGDYGU5/LfJ8d1UrGLO5coEfzCEc1duYE3lEjzQ\nXIVPoxOZRE1HPK3leqDHp5YVGl91bXUp1laXqsNjZiMce48M4kCPz3JP6nwdhZgLSJCJjBOv7Km9\nwYP+kSnsersXEYlDFGJLMhQEjWvN+PimxgrsevuE1UTTlJiuqcC5R+5DyZVJcmETWUfX7CNFFzUH\ncPDkKJTb4uiNELoH/fj5tg1qf/m9RwexPyqmzz+wBt0DfrzZNaTeY6LIwACEI3I7TKXhx/4en9ru\n1lh7nEg8TaXbAAAgAElEQVRw83kUYi4gQSYyTrxkju4BP3a93Ytw1OSVJHkSlLb0ApBdb3u2taK5\nphQHNAsBIAv4G91DWRVjZUEMVZQhVFGGyeZ6LB0cpUEVRMbxr63D1OpaSKIAuMS0z2e8LSIS0Dsc\nwKryxQhH5E1yKCzhhYOn1VGoYY1L+7tRl7ZRYF99uhMHenx4s2sIEWmud3Uywc3nUYi5gASZyAhW\nxqQdPj8BSVOPKAgMmxordILMADx4W7Wazfnq053Y3+PDvm4fwmG53ebVG/YyTVNGY6lcb6ihQRVE\nRlDqim9UL0fQG82lSCNxKxkM+iYdEgc+OzOOYxevYtfWFt3mWRmRahRN5XfbDWL94odnEwruQuxH\nnQ4kyETamM1HNmskr/axjpY+7dnWqmsGAsiLx8GTo/i4fwx7n92kLgQ72rx44eBpfH52PCamnHVo\nUAWRIYKV5Rj49ibZDWQzaSsVijRuZ6WqAZhzOyujU5Xa32QYxdpTUgSByXewmeBSprU9SJCJtNG6\npUKzEna93QuJ84R9rJWbs3vArzYDAeZKLEIRfYlFe4MHP35oHY5dvIrZsARBYGhYXoLGyqVoXLEE\nv/r8gtrhBwCKNB1/MoYyqGLTBhRPTpH7mrCMYhVfX1UpT2ayIcSMASvLFlkeQcoAuEV9F60XPzyr\nuqbVYzQCeqBHLnva3+OzPJmpe8CPPe/2RfNBGHZtjZ17DlBtsR1IkIm00bqlmKbph9U+1jvavOAA\nxqdm1OHnQGzGp1bQp6Zn8cpnF3B+/AaKXALW1y7DFxrX9/raZTg5MpXxtptgcm3J0Dc7UBy4juLJ\n65T0RSRkzioWrLaf1sE5MD1rfbTifWtX4McPrYvrOja2vNS6nUPh+BtqI9pRqpzzmElQhH1IkIm0\nMZY07Xm3zzRm9NqRQbzXexlbWmvx1N31pq7uj05fUZ9rNtJNWRx2vnRI3fHPzEoxHYxKF7vxJ601\n+M0Xw5l/w4xBKlmE6cXFmK6pwGRzPdzXbmDlZ8dJmIkYAk1e21axEdHic10CixFjINY7BUCd5GTc\nUEei7S6TJWFRfDjzkCATGUFr+SrZ0VqH8WtHBvGTt04AgDrRyR8M6RJC/MEQ9j6TPN6kzQwFzPv1\nViwpyo4Ya9EskrNlSzHwp/ei5vMvKb5MIFhZLgtx9N/pxoq/Vu9B44oleOnT8+qcBpHJ913XgB8S\nlxuB7NnWGve+Ue5Rs8xoKxtqs/Npn2cc1UjYhwSZyAr7ozEppYHAe72XdY//X78/jb94cJ1uh63c\n1MliV52NFXAJTFeuEQxFsKZqKaZnI2ipXYYL4/oxjYzJC5hVD7a3fBF8FmN22vabI/dswHVvFZVI\nLVCCleUYa78V09XLM5q01bhiCUoXu/HQbdU4eHJU3eyuqS7FF0OTmI1wiEzeDCfDrBRJ202ruabU\nchKW8jjVGmcGEmQi45jd8MZZxyPXZrD7t73Y/aicaR1vApQZ/SNTqF5WjOGoYLpEpos9D/unIRr6\nbT739UY83FKDf7fvOM4aZioLTBZ1bQ5YIjF2CwBjJklj0cX3ekMNrtdXo+Gf/kiivEAIVpZjorUJ\n1xtq5n6ZwQzqX3xyHgxyqaAoyHFlZSKalYlK2rLEZK5mu0lYVGucOUiQiYxjdsO3N3jwUf+YTjhn\nI3IiyPMPrElaz6igdX0Dspg2LC/RiSwHwCWOb62vxvRsRBezXlIc+5WXOLBxtQfHLvpNu4YZmZWU\nVzFBswgP/ItOFF0PYnnfBXJjFzDBynIMbtkELkQ7SWdQiLUlgYroMsgtMp/b3ARA9kYlmz0ez0Vt\npxQpXkcuiiVnDhJkIuPEqz18bnMTPjp9Rc18dotMvXnNbmqzBcDo+pY44BZjZ6S4XQKe29ykm8Ws\nLEpmzIQl3XD0tGEMcIkIlZfSaMcCJ1hTIYtxhmuKGeS4sCRxXQcuDuCDU6MYvXYTO+9KPp84mYva\nCok6clGtceYgQSayQrxuP3uf6VQTvnZoBpCbZYGaLQBG1zcAnB67rvv569GyDwB48cOz6Gys0PXi\nNaPYJaC+YgnOGs6VFtrRjhtotGMh4l9bh6n6mqyIcbF7rsnOR/1jOHZxbsIS58BxXwDHfSewpmop\nfnjvLTHzx626qK2QzC1NtcaZgQSZmFcS3bjax+K5sJ+6ux6DEzfwi0/Oq88zToza0loLAHjyl4fl\nustow3yjGDMAniVF8N8I4ehFa+PkUiLayWiyuR6T6+qp/WYBoMaMV9dm9LwbV3vw2Ne8MY05Ohsr\nsPPlQwibeHDOjl1Xwzhm5YTGLOpUsqHJLT0/kCATjiTRAlC62B13ShQgu7U/6h9T3dPaRYxBjjsD\nsjswMD1rKW6cNkrGLecY2bQBNyvKyFrOI5QypvDiYgDAzcbarAw4KSspMu2S1d7gwZ5HW/Gz6KQ0\nM14/Noin7q6P66IGYKnFrRnklp4fSJAJR5JoAehsrECxW0BoVgJkjdOJ6mdnxiEYPIiiIB/o1ixE\nw5PTeO3I4Py8IYVop6/JWxsw2VyPmj+StexkFCGeXFcnd9oC5L9hlqaNfXByFB+cHEWRS8DeZzoB\nQL0H/MEQOI+/fSxyydcXbzOra3FroyOXArmlsw8Jcp6yEIZ+x1sAzDqDaePDHHKyl8iUpC+GH957\nC/ouX0NL7TLVKgAQN7acyAJPG028ceQe6ovtVPxr6+RhIsrfKwuDIOJ9z0JhCS99fA6fnLmiWrQ/\n2LQ64WCV474AXjsyCH8wpG46tS7qVDtyEfMHCXIeYnW6UiFj7Az2wsHTumQvpWuRscb50zPjasLM\nq093YtfWFuyKugE5AAFAkVuA11OS2QQvM6IL/ERrE4LjkygZmSBhzhHK8AflbxCsLMfIpg0pNfcQ\nohtBKzy0vhonfJMYuTYT89jotZs613Pf5WsJzxWO6K3eXVtb1O+9wBievu8WbG/zggFoWVlmuSNX\nPBaCUTDfkCDnIem6ngoN7SSo0Kw8CWrPtla141DvcED9vADorAIAkKJj6RiA+ooSfLulBufHb1gW\nZAEAE1jc2F4yrtdV43p9NZjEUX24F9e9Vbi5fBmEcATLT1INc6bxr63D1OpalF68DM+ZIdkS3rQB\nYACTOOp/dwjBmgq5/3SGYACaKpfgwkRQ/Z64BODjaO92Iy4BqF62CKdGphCJyKK5pbUWR85PqKV5\nygTHiDT3Glqr973ey+r3XuJcbS5S7Jb7xKcTE05UBkWkDglyHkKup1iMbuze4QB2v9OHcESebmOG\np6QIzTWlKHIJqtv64kQQv/jkPAQmdwBrqV2GTY0V+IdDF6OfN6IL3Nx5XC4B96+rxAealoaWUXp6\nAuCQ9C5SACP33o4rX1sHcWaWxDkFtJYvAF03rRurKhEqLcHVDU2qJcwE4Lv/9/+YMKs5GWb7Mg5g\nY2MF/vPjd6hlfwzA3qODMd+ZNZVLMOifxsFTo3AJDN/bWK9OZmquKVVnF1+ZmsEH0UY7DMCDt1Xj\nkzNzw1m2tNbij+cmAE3cWbtO2K1F1kLdubIDCXIeYnW60kJD21dXGxeWTBbVCAd2v9OHvc/Ibuu/\n/s0J7boli270efUVS7CjzYuxqRlUlRajZWUZ3uu9jM/OjMvdkyLya4ma/topIZhYZJwjUrIIkZJF\nGLn3dtyoXo5FgesQb4YQWVREbu4EBCvLMfjtTeCKD5mxuRT76KZn5q5bgdDcaEMJwPGhSUxNzyKS\n4Xna41MzOHx+QhXX7gG/2vNd+7U5N35D/S7ORuTNtrZeX3nuky8fUr/jSiOc5zY36azeD/vHVNGG\n5th01wkqg8oOJMh5ijGGuhBiOYliVspjlyan1RmtydC6reOhNF/QUuQSsPuRFhy5cFVeTAH8/tQo\nOLcXP7SENn7JOabWeDGl+RkAFo9eXdBzmY1W8OXOVoRLl0CYvimLsSAAkEw3PDdCsXOG3zcIWCZw\niwwf9Y/h4KlRnYtX2VgfH5pUX1e7MeQA9nX7dE10AP3EMwbg8XZ9kx2FH21uwsf9Y/LwCZHhux11\nMecyYiU2TGVQ2YEEuQBYCOUI8WJW3QN+HOjx4c2uIYQlDpcoIFrhBFEAvnlrNX7/1agaZ9MiCEzn\ntlaSX9rqyxM2CgmFJfy/hy6qdc7asqsEVSlwiwyz6VhdxuSiaF3zdE0FpmsqEFhXh/r3DqlJScYk\nJe3PTsYY4zU+NrmuDq7gDIoC1xGsXYGby5fN7YSUwCpjkIrdc0808z7ME2uqlqJxxRJVcEOzcy5e\nrcX7h6/GTD0skUisS3gqOv9biQnvMJkdDkS74z27ybJw2okNL4R1Z74hQSbyArOYFSC7p2/Ozqlt\nOCyBCXIxiSAIuL+5Ch/1jyECeTzdM19vxPnxG/j9qVFIEseed/timu0DwJMvH0rY1/rUyFTcx+KR\nlhjHQyPSXBQRaPJiprxUTVICB4oC1xEqXwolAF5z6AQii4pws2wpblZ5UHrxsq7PtiKIxRMBiLNh\n1fI0CrrSrSpcsgjlpwdV8dQ20XBNz2DRREDnXk+0OfCvrcPIvbcDkGO8gaZV8me3ZDG4KCBSsij+\nZ5A7zU2IW2A6t7EEOX9BS3uDB3u2taoJmq7oSKeIxNXRpD996wQ4gGXFLl2nuh9sWp1QGBMJp9Ea\npthwbiFBJvICs5jV4fMTmJnVm76y0cjV2O7rxwZ1Qli62I076spx8NRo3ASX7gE/nuiow5nRKXRd\n9KfcA2J5iRtXg7MpPjs1plpWI8ChK24NLV8294PIVMFTuHr7GkxXeVDV/ZUs5hpBBBCNv84dv/zE\nORRNBWXRj8ZkRyrLEWhaBdf1aUw1rTIvFZIkLB7zY7pquXw+iWPxFT8ixUWAJLuUI4ujQhV9/nTt\ninQ+jpzDYL558wdDMb9rrinFN2+tUodGKKEoT0kRdr/Tp3pkjJ9ssnKoeJhZwxQbzi0kyEReEC9m\npU2kMmaaigLDycvXVG0ShbnpUvEWHeMi9Tff2YDe4QDGp2biur7j8d2OOvzqj3OubTNKikQETeKY\n31i7AlemZmxb4pauz0Qsp2tX4NKj92HF0mLAWBMraJ7HOa7evkbvHtacIyGiqD9GyH/B1fLYnSux\npNgFDiA4E8Zvjw/HzSdQLGTFQjWK7qnLvdj77CZ1NKm2NMp4SqV3u13itdik2HDuIEEm8gaj683o\n5isyZJoOT05j71G5NSYD8ERHnfr8eIuOcZHyB0P4T9/ZgBc/PBuTrbp8SRGaKpfAU1KEvsvXcMk/\nrXu8dLEbux9pwU8NGdxazMRYAHB3dJNwamT+RjaGJZg2qNAJuPJvMfNdq/KdtdWleP6BNege8OO7\nLx2KK8YCky1k7eZPYPoM/dkIxwsHT+PHD61DZ2MFRJHpSrAeu3MlJm6E1FnfyTBL1IpnDVNsOHeQ\nIBN5jbIYvdd7GVtaa3WZpkpZibLgbNckvsRbdLSLlCgwDE9Oo3vAj87GCghMLpfSnuOXf9YBQF7w\ndr70R3XgQJHGra5tjxg1MhNS5J5bHDOetU1kDcXqPdDj0zWJYQCaqpbi4sQN8GhMWPluqCVPnEPU\nNJfhAD4/O45jF6/i1ac7sbOjDq9G+64LTBb/F6IDI5IRL1GLMqWdBwkyMa9kut1e94BfbQ946Jyc\nfKSIdCoLjvKc/T0+7Ov2Ye/RQbx+bAh7trXi549twF+/dUKNKX98+gq6B/zq4vb6c/eoTRu2a0pL\nXKIwF//jiXtkr6laiv+843b1uX/z2AY1maeQKV/sQoRzTN2M9Rhkm2Sbnnj9pld5FqteEcXqhcmx\nD6+vxst/1mH63XcJcua9S2TY/Wgr+oYD6L0UwIlLAZ0reXubV7e5tBPbTZSoRdawsyBBJuaNbLTb\n0y42EufY9XYvmmtK01pwlGzTcGTuvD/7zQl8b2M9HlpfrXbkMpajmL1We4MHj7d7sfeI3JEpkbAy\nAEuKRPSPTKnneeruevQOB9KaSrXYJWA6g7MC7/SW4QtfIGPnA4DJ6TDcOXKD8+ggEs7lFqgMHBFJ\n9mY8+/VG1FcsidkUfWt9Ne5vrlI3aAKDKpI72rzY1zWE2QiHW2R4bnMTgDjfxeisbDCG5ppS3Txj\nrfimY81Solb+QIJMzBvZKKmQXckMUtQPLEk8K+eNcOC1I4NwuwS4RaaWo1hZ3Ha0eXEgat1oW50K\nDOho8ODYRb8q1tpGJEqW7bLi9G7Tm3Yy0SyQaTFWSKVNpZZotVtMVrxLQMLZxRxQx3hKEocoyEMf\nqkqL8XCL3GZTEPQJc40rlmDX23PekrAEdSPV3uDB7kdbY8IoRpRNn3FzF098U7VmyTWdP5AgE/NG\nNnbq2sSuiMTVZh+ZPG9YE9eLRCR8b2M9VpYvtuUG37W1Be/1XkZL7TK1L7bbJaA8zrX+6vMLuDh+\nA2GJx5S5WIEBqF5WDE9JUUo10/ONcVCCnee1N3iwrroU29u86B+Zws9+c0IX67fiHNC+bkSSO68B\n8njOHW1eSIZzHDo/EXPe148Nom84gLGpGXx8+grCEQnHLl7VeWwUugf8GJ6chkuI3dxlMqyjPdfz\nFmPORO4gQSbmjWzt1JWYsZJtvefdPtNFMJXzKs3893X71Kk725O0HjSijXMfu3hVN6t29zt9pm7s\n81eu66ZT2YVDzpg2zZrWsNgtYHo2sxa0HSqXFuGWFUtwaXIaw5M3bT9f4sCxi36cuBTA9jYv/MFQ\nRuLtymc/G23DasxyPnEpgGhDTt3vjhu8B9omNtrGM0roxiUK2Llxrp1lJsM6NJEp/yBBJuaVbCWR\n+IMhSJxnxB1utFDaGzzY0eZNupGIZ9ns7/Gpwy6UUiqlvjQcmWv2cNdqD2bCEm6EItmfxRylbLEb\n07OJRVtBALCyfBF8KQhnPCZuhHDlemyTDLvZ5Uo7SiUbPtFzXQLD1ttr8cXQJC5OBE2PUbwSoiig\ndWUZ9kHfwlPicl37XfXlCIUlFLuEmHarDFC7bGmFcXubVw3dRCISVpUvVr8vmQzrUNet/IMEmXAk\ndt126brDtQ0atEPd92xrxVN31yfdSBitEa0VvK/bZ9qcxHjNj33Nq762E5GAlMWYAbi1pjTGfW4m\nnAzAyrI54Y+X5ax7TjSpqn9kKqmLWpI4Jm6E8Ow3mnQhCS3qpDBJQu9wwPQYSeK4v7kKzz+wBj95\n64ROkAUAT94tj000CiND/MY0mQzrUDJX/kGCTDiOVFxt6bjDjQ0alKQrs6zteGgX3VBYUt3nDHO1\nywzA/c1VONDjU2OT2ms+0ONT+3IzqK2nLSPPcBbU7HCFO7xlYDBPxvKUFOHK1Ayy0WZbC4f1/t+M\n6YXfJTJwLmc+x73MqEn7Xu/luOfVJn19emYcRy5cxdP33YJXPrsAKZp/oPztFcIS0HcpoCZDa9Fu\nrrSZ1QIDfv7YBl3DDq0wbm/zqkJt/K5mMqxDyVz5Bwky4ThSdbWl6g43NmjQNu+wmrWttUa0mdRa\nRJHhw+goPAB4o2sIr0fbI3YP+PH6sbnSJg7gLqW39uAkJJPzAfJEq5131aN1ZRn8wRA6Gyvw0sfn\ndCMEje7UtZVLcPbKDVUkRYFB4Dzlnt2ZREDsJqR8sRv+6VmYfwIyEQl46eNz2NJai0/PjJse09Eg\nhwSUOG8oLGFqJozXn9s0177yt70xQ0VOXAqYvvIDt1ap/040VSlR1rQWpZGNsY7dzFtk1YNEdcb5\nBQky4Tjm29VmfL0fbFqtWk3arlmJ0C66ittbiRsDsgHXUrtMl/QTjnAc6PGpdc/GDGOtiIoMqgUH\nALXli9FSuwzPbW6KWXCf29yEj6LC7xYZrt7Qx2jPXLmh+1mSOB5eX43RazdR7BLwxdAkZiOJ5C9z\nGA1PpmwONL80izGboWxCHrtzJX7zxXDM42urS3FmVG+l9wz4YzLmf/X5BZwbuz7nttbP1gAgb4R+\nf2oUn565YtmDkyj34ECPD68fG1Td7W92+7D3mU4AiPEWmf2ORLcwIEEmHMd8u9rMXu/hlhrbr69d\ndM2ys3feVY/e4V5dW0XlX52NFXCLLOHIxyc66rDKQrmV0Vr7xcfncNYgwtrEJ5fI8FG/PIu3yCXg\nh/fegkPnJ9RuUQoMsfW4ChtXz9VTW6XIJaDes1h3bcrm4INTo0lbjN5WUwqfP4ipmbnuXu+fHMUi\nt4DH7lyJt78YVq/HJTK0rCzDr4/qG6ycGpnCVyP9KHbLcX/jRkp538VueaPWd/kaFrtFHDw1qnpw\n9vf4dDO57YikEi4xvqY2O9ts7GghJGtlumtfIUCCTDiS+Xa1mQ2uUMpQXvzwrO1FI1F2tlInWyQy\ndbC8IqL7e3wYn5rBR9E6VonLbly3S1BLY+y+nx9tbsIfTo3GxIkfjja/GJuawcFo97GZWQkvfyrP\n2hWYvGFQhJHDXIyLXALa6j3oGvAnFVGF1RUl+HZLDf7b5xd0v3dFO1vd31wVU09sZPO6SrzR7QNm\n9O02Q7MS3v1SjiWLTJ4ApgwcMTsdjz7n5U/OxXg13CLD/c1VWBFtEvJwSw0O9PjU+mFRYNjX7VPL\nowB7IqmES4zXpfUMmXmL7HqQnCZ+VJJlDgkyQRjQjcT7ba/q+t377KaU2nBqn6OtbTa6QbXHaq9B\nydZWrCOz2KN2sTUr23rjR/fgL/b24FI0WUpxw25v8+LJXx5WBUErwMBcJzEFs4zncETCLz+7YCsB\nbWAiiFc+uxCTvXx/c5V6zcrnND41gz/0j8V08vrlp+djBFu24uUOa8pDd9SVq59ZkUtQE+e0SEBM\nCdRD66vxQHOVmvm+r9sHcI6wxNX6YQZg79FBvYjbCLPohpmIAjavq0RVabEuhmzmLbLjQXKi+FFJ\nljlpCTJjrBzAKwBaId+nP+ScH8rEhRFELtAuXkpyFgCEIhwvfXwOL0enO6XLgR4fQlF3pxIXNIqo\nskC9dmRQ7URW7NYvqGblVrvf6VOtp73PzB0bMYjf+fEbavtGMwTGsK66FF1RV7SS+a0VbEWgJcO5\ntccq/1fahUp87jnaCUdA7MAOZYPxUf9YzPVps9cbohZ36WK3GsPXWpDKJmXX1hb0DgfwRtcQIhG5\nTWbLyrIY97wA4M66cviDIZ1wAHMd25TwgTL0QRQFPN7ute3JSCauZt4iOx4kJ4oflWSZk66F/PcA\nfsc5f5wxVgSgJAPXRBA5Q7t4MYP/9fenRlWxyNRrzIYltQxqZlYe+ajUPgOy4GprZWdm9Qvq4fMT\nqps1NCvh9WODah1zKHpuAGqcUsvFiRvwlBShyCXoap8lLgvn0/fdgvqKJabWMwPQsVoWSzPLWBQZ\n9jzaqmZ+949MmbYO3bW1Ba8fG1ST3WbDEl76+BzuqCtXBerw+YkYS9olMgiA2nby7757p+7vovQB\nN3bGUixEbShBfXxWUgdFFJm4h0VRkC3k6E7g+NAkPCVF2NHmBQdsCbGWbIdnnCh+VJJlTsqCzBhb\nBuAbAH4AAJzzEABr6ZAE4VCMLkRtTS/nyNjgCu0CqcRuOYCwpK99lrOv9Ulg2l7dnpKiuWxgIKap\nyNjUTNw4pSRx+IMh/GDTarz0yXnd45wDr3x2Ad+8tUq1ghnk2lvOudqBKp6bmkfPrZR0mbUOVYQa\nkLOWlTrj90+O4uCpUVU8PSVFEKJmtss1Z4UqIm82wEErci9+eDbGQnz+gTW652gz5JVrM3MPa3tl\nv39yFO+fHFWTvnZo5m07CaeKH5VkxZKOhdwI4AqA/4cxdgeAbgB/yTnXpXMyxp4F8CwA1NfXx5yE\nIJyEcfHqH5mSm3zYKIFKhNZ1qiz8APDGsSHVCgxLHHve6cOuR1rQ2VgBUWDqYwxzc3cBoHfY0DvZ\noJBVpcW6DYAQnb8LyJbwx/1j6B6IzY5WNge/PzUKt0tQM8V3bW1B37Bclzs+Fb/lprZphtEjoAj1\na0cG8ZO3Tpg+35jBLHG5ccfuR1rUEYVakU/UvMWKhZhIHLTeiEuT0zGbEA7nuILjQeKXH6QjyC4A\nbQD+nHN+hDH29wD+PYCfaQ/inL8M4GUA6OjomI/SRoJIC+0C3NlYoTaOMLMu7GSvJkqu2bOtFT97\ne64k6rgvgCdfPoS9z25Sp05JnOtcqUBsfezyEndMVyjtJuPS5LQ6mxlATP9lIxIHdrZ71XgpAE1r\n0QRPZHMPxhNEs65aijUuMLmPdN+lwFwIAVzdjBhd9YnEMF0LUft3c4kCRMM4RyUL3gmuYCK/SUeQ\nfQB8nPMj0Z/3QRZkgshrzITTbHSd3exVs+Qa5fedjRXYeVcdXjsyVycbijYO+dvvbNDFRLWvsb3N\ni9e7htS45he+AHY/0hLjdtUmSB3QDLtQ0GorN/y7dWWZGtPWun8TZVVr5/sCwDfWVmL02k3svKte\n/Z1ZV63bvWXYeVc9+oYDeLNrCF/6AqpAa0XP6Kr3lBQl3ByZWYhWN1Pav5syflNx4bdoOqSRBUqk\nS8qCzDkfYYwNMcaaOef9AB4EcDJzl0YQucFqVqrd7FWjpWicArRrawtchjF/rx8bVK3ceBm4Oztk\nIVdcp33DAfztdzaYXoNiLSqNLCISV8tt/vDVWEwmtsD0LnLlPRjrdaHJvtZajN0Dfnzv5UOqm/zU\nZTk+DgB9w4GYyUynRqbQXFMKfzCEcLRdqADg3jUr8OOH1qmfQe9wQGdN9w0HVMvdyubIzmbK+Hez\nO36TIKySbpb1nwN4NZphfR7Av07/kggit3Q2VsAlziV2GV2R2hphO9mrRtep0e3qD4aws6MOr2qs\n5IiUPJFse5sXb3b71MStN7uGEoqGIu7aAQeHz0/goKb/NQB1KpH2fSnv4Rcfn8MfvhoDl+REK0mS\nEIlmZ7euKlMt4Z++dUIVY0C2+pW4sNFKB+Ysa6MIasW4e8Cvm6DlEpj8GdrYHBk3U/t7fAmtaycm\nRRGFR1qCzDn/AkBmCjMJwkmo7an0khFvzKLVhVpr6faPTMW4XTsbK1RxBeROUVaE/vF2rxobjlgc\niIl+3qAAAAtNSURBVGG8Fm2NMQNw31q9Varl0zNXwKOJVpvXVeL3p+ROXxEOfOkLoH+0D801paad\nscanZnRZ36qliznLOpEIHojW/SrPfaKjDtvbvOrvrWyOdNn00W5b4Uh8a5mSooj5gDp1EYQBpe7V\nTNziZQyngj8YUl22imu4vcGDvc/ILmU7ta07bAqSFiVjWbv3MFqlWnS12uAIBPXVjtqs4x1tXrx+\ndFDXxKOytFhXWvZ4u1c3rSqZq/nNriFVzM0S16xsjrTHD09OY+/RQUc1ziAWJiTIBGEgUZnMfAyQ\nT8UasytI2oQm0zrlBE2pjWVUZpnaiqu/vcGDZ77eiJc/PQ/O5XrdRPOAtddnFuPVNglhAB5vn9uw\n2P3ctIlu2m5blyanM9IAhiDsQoJMEAYSiVsm44mZjk1qrXjtz0bM3O7GRK1Ebm/tdb/fN6IbKQno\nhbJ7wI9ffS73uRYZ8INNq9X3q/UsGDOe4yXMGTcxmWjGYUx0+/XRQRyItjQlUSbmExJkgjAhWaOI\nVBdqs8EPmVr0rWYOm7ndjZnXyax/5bo9JUU47tM393Brpljt7/GpIyUjXB4IwQHd9ZldtyK8oVm5\np7jSnSxbCVZa65tc10SuIEEmiAySqLY121N3rJZhmbnKzTKvrVybUp/8+rFB9A4HIEnQNQUx9g5R\nBktor8/sup9/YA12bW1RG6LsebdP7caVrQQrJ/Z8JhYWJMgEkSGSCW62p+5YFZRkLnm71/TU3fXw\nB0M4cSmgTkJS3tv2Ni/e6BrCbESe7CQyxFjg8a7bHwxB4vNnsVJ5E5FrSJAJIkMkE9xsW2C5FJRE\n741F/xMZsFszAUqbjGV23bmwWKm8ScZOS1gic5AgE0SGSCYg8yGYVgQl0XzldF7X7L0ZS8jilYmZ\nXTdZrLkh26EVIj4kyASRIawISK4tMON85WSDGexg9t7StXJz/XktRLIdWiHiQ4JMEBkkGwKSSffh\n4fMTkDQ1xoKQvBOYFeJdI1m5c+SLG5iS23IHCTJBOBir7kOri71aThSWIDCGPdta0xaHZNdod5MS\n773ki6CZkU9uYNpE5Q4SZIJwMFbch3YW+2wstnZdnImEVYlvK7OfE9Uq55NQaD+jUFjCCwdPx21N\n6gQoVJAbhFxfAEEQ8VEsWtEwD1hLvDnL8Whv8OD5B9ZkbMG1co0KirD+3fv9+P4rh9E94Nc9psS3\nFeHSzoy28x6V87344Vnda+QK5TNSepd/dmY85v0TBFnIBOFgrFi0uY752bG6E1nTh89P6OYxC2wu\nvm33PTrNolY+oxcOnsZnZ8ZjmqMQBECCTBCOJ5n70AkxP6suzmSDO4rdcrtMQdDHt+2+RydmCrc3\nePDjh9bh2MWrlDBFmMJ4gqkumaajo4N3dXXN2+sRhJPJ5ySldEjWXjQTn4liISvCl2sLWctC/bsv\nVBhj3ZzzDkvHkiATxPzjNJdqIULCRzgBO4JMLmuCyAFOdKkWGpQpTOQblGVNEDnATmYyQRALA7KQ\nCSIHOCERiyAIZ0GCTBA5glyqBEFoIZc1QRAEQTgAEmSCIAiCcAAkyARBEAThAEiQCYIgCMIBkCAT\nBEEQhAMgQSYIgiAIB0CCTBAEQRAOgASZIAiCIBwACTJBEARBOAASZIIgCIJwACTIBEEQBOEASJAJ\ngiAIwgGQIBMEQRCEAyBBJgiCIAgHQIJMEARBEA6ABJkgCIIgHAAJMkEQBEE4ABJkgiAIgnAAJMgE\nQRAE4QBIkAmCIAjCAZAgEwRBEIQDIEEmCIIgCAdAgkwQBEEQDoAEmSAIgiAcAAkyQRAEQTgAEmSC\nIAiCcAAkyARBEAThAEiQCYIgCMIBkCATBEEQhAMgQSYIgiAIB0CCTBAEQRAOgASZIAiCIBwACTJB\nEARBOAASZIIgCIJwACTIBEEQBOEASJAJgiAIwgGQIBMEQRCEAyBBJgiCIAgHQIJMEARBEA6ABJkg\nCIIgHEDagswYExlj/8wYezcTF0QQBEEQC5FMWMh/CeBUBs5DEARBEAuWtASZMeYF8KcAXsnM5RAE\nQRDEwiRdC/kFAP8WgBTvAMbYs4yxLsZY15UrV9J8OYIgiMKme8CPFz88i+4Bf64vhZhnXKk+kTG2\nFcAY57ybMXZ/vOM45y8DeBkAOjo6eKqvRxAEUeh0D/jx/VcOIxSWUOQS8OrTnWhv8OT6soh5Ih0L\n+V4AjzLGLgL4NYBvMsb+MSNXRRAEsQA5fH4CobAEiQOzYQmHz0/k+pKIeSRlQeac/wfOuZdzvhrA\n9wD8gXP+LzN2ZQRBEAuMzsYKFLkEiAxwuwR0Nlbk+pKIeSRllzVBEASRWdobPHj16U4cPj+BzsYK\nclcvMDIiyJzzjwB8lIlzEQRBLGTaGzwkxAsU6tRFEARBEA6ABJkgCIIgHAAJMkEQBEE4ABJkgiAI\ngnAAJMgEQRAE4QBIkAmCIAjCAZAgEwRBEIQDIEEmCIIgCAdAgkwQBEEQDoAEmSAIgiAcAAkyQRAE\nQTgAEmSCIAiCcAAkyARBEAThAEiQCYIgCMIBkCATBEEQhAMgQSYIgiAIB8A45/P3YoxdATCQ4dOu\nADCe4XMWMvR52YM+L3vQ52UP+rzskY+fVwPnvNLKgfMqyNmAMdbFOe/I9XXkC/R52YM+L3vQ52UP\n+rzsUeifF7msCYIgCMIBkCATBEEQhAMoBEF+OdcXkGfQ52UP+rzsQZ+XPejzskdBf155H0MmCIIg\niEKgECxkgiAIgsh7SJAJgiAIwgEUjCAzxv6cMdbPGOtjjP0fub6efIAx9r8wxjhjbEWur8XJMMb+\nC2PsK8bYl4yxtxhj5bm+JqfBGPt29P47yxj797m+HifDGKtjjH3IGDsVXa/+MtfXlA8wxkTG2D8z\nxt7N9bVki4IQZMbYAwC2Abidc94C4L/m+JIcD2OsDsDDAAZzfS15wAcAWjnntwM4DeA/5Ph6HAVj\nTATwIoAtANYDeJIxtj63V+VowgD+Z875bQA6ATxPn5cl/hLAqVxfRDYpCEEG8G8A/O+c8xkA4JyP\n5fh68oH/E8C/BUBZfUngnL/POQ9HfzwMwJvL63EgGwGc5Zyf55yHAPwa8gaZMIFzfplz3hP99xRk\nkVmV26tyNowxL4A/BfBKrq8lmxSKIK8D8HXG2BHG2MeMsbtyfUFOhjH2KIBLnPPjub6WPOSHAN7L\n9UU4jFUAhjQ/+0ACYwnG2GoAXwNwJLdX4nhegGxASLm+kGziyvUFWIUxdhBAjclDP4X8PjyQ3T93\nAXiDMdbIF3BNV5LP6ycAvjW/V+RsEn1enPO3o8f8FLK78dX5vLY8gJn8bsHee1ZhjC0FsB/Ajznn\n13J9PU6FMbYVwBjnvJsxdn+uryeb5I0gc84fivcYY+zfADgQFeCjjDEJchPyK/N1fU4j3ufFGNsA\n4BYAxxljgOx+7WGMbeScj8zjJTqKRN8vAGCM/SsAWwE8uJA3enHwAajT/OwFMJyja8kLGGNuyGL8\nKuf8QK6vx+HcC+BRxtifAFgEYBlj7B855/8yx9f1/7d3hzgRBEEUhv+XYLkAAoHgBDgECRgEJyAh\nWMQKBJojoBAoEiw3I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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 8))\n", "plotting.scatter_contour(x, y, threshold=600, histogram2d_args={'bins':[xbins, ybins]})" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }