{ "metadata": { "name": "ggplot_styling_for_matplotlib" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": "Clean ggplot-styling for matplotlib graphics with HUSL\n-----\n\nPython is a great language and matplotlib is an amazing library for creating scientific graphs, but one area where I think R excels is the simplicity and beauty of the ggplot library. I hope that Continuum Analytics Bokeh package will end up making this little hack unnecessary in the future, but in the meantime I've been using a nice little bit of code I found on http://messymind.net/2012/07/making-matplotlib-look-like-ggplot/ to make my matplotlib a little more R-like without resorting to the nuclear option of calling RPy. \n\nLets first look at standard matplotlib output: " }, { "cell_type": "code", "collapsed": false, "input": "import matplotlib.pyplot as plt\nimport pylab\nimport scipy.stats\nimport numpy as np\n\nrv = scipy.stats.exponweib(1, 2, scale=10, floc=0)\nx_range = np.arange(0, 30, 0.1)\n\nfig, ax = plt.subplots()\nax.plot(x_range, rv.pdf(x_range))", "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 29, "text": "[]" }, { "output_type": "display_data", "png": 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HR1NYWEhGRgZ+v5+cnBySkpIoKioCIDc3l8zMTCoqKjCbzcTGxlJcXAzAjh07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\nRK5CYII=\n" } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": "The function from messymind.net provides the bulk of our formatting: " }, { "cell_type": "code", "collapsed": false, "input": "def rstyle(ax): \n '''Styles x,y axes to appear like ggplot2\n Must be called after all plot and axis manipulation operations have been \n carried out (needs to know final tick spacing)\n '''\n #Set the style of the major and minor grid lines, filled blocks\n ax.grid(True, 'major', color='w', linestyle='-', linewidth=1.4)\n ax.grid(True, 'minor', color='0.99', linestyle='-', linewidth=0.7)\n ax.patch.set_facecolor('0.90')\n ax.set_axisbelow(True)\n \n #Set minor tick spacing to 1/2 of the major ticks\n ax.xaxis.set_minor_locator((pylab.MultipleLocator((plt.xticks()[0][1]\n -plt.xticks()[0][0]) / 2.0 )))\n ax.yaxis.set_minor_locator((pylab.MultipleLocator((plt.yticks()[0][1]\n -plt.yticks()[0][0]) / 2.0 )))\n \n #Remove axis border\n for child in ax.get_children():\n if isinstance(child, matplotlib.spines.Spine):\n child.set_alpha(0)\n \n #Restyle the tick lines\n for line in ax.get_xticklines() + ax.get_yticklines():\n line.set_markersize(5)\n line.set_color(\"gray\")\n line.set_markeredgewidth(1.4)\n \n #Remove the minor tick lines \n for line in (ax.xaxis.get_ticklines(minor=True) + \n ax.yaxis.get_ticklines(minor=True)):\n line.set_markersize(0)\n \n #Only show bottom left ticks, pointing out of axis\n plt.rcParams['xtick.direction'] = 'out'\n plt.rcParams['ytick.direction'] = 'out'\n ax.xaxis.set_ticks_position('bottom')\n ax.yaxis.set_ticks_position('left')", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": "Call it on our previous function: " }, { "cell_type": "code", "collapsed": false, "input": "rv = scipy.stats.exponweib(1, 2, scale=10, floc=0)\nx_range = np.arange(0, 30, 0.1)\nfig, ax = plt.subplots()\nax.plot(x_range, rv.pdf(x_range))\nrstyle(ax)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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PGJHFf/t2HZddJsV/JFm8uIOyMj3ffDMiv+WFOM2I+5fQ1aXh44+DmDZN7v4Z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\nd55eKPw9nz1qzgbeyecouyd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} ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": "Now that our axes and plot area are formatted properly, we need to find a way to improve the color scheme a bit. Luckily, we have a python port of Alexei Boronine's HUSL: http://boronine.com/husl/, repo here: https://github.com/boronine/pyhusl. The HUSL creates what Alexei calls a \"human friendly\" version of the HSL colorspace. A quick function that will generate a light and dark HUSL component, so that we can create a better looking distribution: " }, { "cell_type": "code", "collapsed": false, "input": "import husl\ndef husl_gen():\n '''Generate random set of HUSL colors, one dark, one light'''\n hue = np.random.randint(0, 360)\n saturation, lightness = np.random.randint(0, 100, 2)\n husl_dark = husl.husl_to_hex(hue, saturation, lightness/3)\n husl_light = husl.husl_to_hex(hue, saturation, lightness)\n return husl_dark, husl_light", "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": "Finally, lets put together a small function with some default parameters that also lets you pass parameters as kwargs:" }, { "cell_type": "code", "collapsed": false, "input": "def rfill(ax, x_range, dist, **kwargs):\n '''Create a distribution fill with default parameters to resemble ggplot2\n kwargs can be passed to change other parameters\n '''\n husl_dark_hex, husl_light_hex = husl_gen()\n defaults = {'color': husl_dark_hex,\n 'facecolor': husl_light_hex,\n 'linewidth' : 2.0, \n 'alpha': 0.2}\n \n for x,y in defaults.iteritems():\n kwargs.setdefault(x, y)\n \n return ax.fill(x_range, dist, **kwargs)\n\nrv = scipy.stats.exponweib(1, 2, scale=10, floc=0)\nx_range = np.arange(0, 30, 0.1)\nfig, ax = plt.subplots()\nrfill(ax, x_range, rv.pdf(x_range))\nrstyle(ax)\n\n#Lets try a few distributions\nrv1 = scipy.stats.exponweib(1, 1.5, scale=7, floc=0)\nrv2 = scipy.stats.exponweib(1, 2.8, scale=6, floc=0)\nfig2, ax2 = plt.subplots()\nrfill(ax2, x_range, rv.pdf(x_range))\nrfill(ax2, x_range, rv1.pdf(x_range))\nrfill(ax2, x_range, rv2.pdf(x_range))\nrstyle(ax2)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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IhUKFGivVVI3zVw6/xV16do7PzrEB1sYny3LZ+5RM/jv9ZX24WNKD+ymKgn/913995H7B\n4OAg+vr6ip4TBAGpVMqy+hvVqn2TSCURT66DE1zISRJyW2zDczxEr4hsJgtNtyY+QRAgSZIlx9oy\nPtOElJeRS2cBo/ojoKyoXbSJ53n4/f6m/HzuhNXx2Tk2wPr4Ktqv1IvRaBRzc3OFx3Nzc4jFYiW3\nmZ+fRzQaLTx+6aWXMDg4iLa2tqL9fD4ffL7itWx1XUc8HrfsBJmmWZVjxRPrUAwNbUJo26Jtmq5Z\nVtjNNE3LjrXp4fhC/gCWlpexvLYCj9sDrooL11fr/JVD07Sm+3yWw6r47BwbUJ/4ylXyN/Hw4cOY\nmZnB7OwsFEXB5cuXMTw8XLTN8PAwLl68CACYnJxEMBgs6vK5dOkSPv7xj9eg6Y0hJ8uQVQUMx0Lw\n7M3hnaUIggC3xw3F0LGepKGfhDSKklf+PM9jbGwMR44cga7rGBkZQX9/P86dOwcAGB0dxbFjxzA+\nPo6enh6IoogLFy4U9s9ms7h27Rq+9a1v1TaKOtos4Obz+mrSp20HLaEwFuS7SKSSCHi3viFOCLHW\ntp1FR48exdGjR4ueGx0dLXo8Nja25b6iKGJ11b5rvOqGgbSUgQ4DPq9v+x32KKfTCVEUIWckrCXX\n0dHaXu8mEbLn0QzfXchks9BMA263m65mtxEOhmCwJtLZDFX9JKQBUPLfhVQmDYMx4ffRVf92eJ6H\n3+cv1P0hhNQXJf8KKaoCWZEBlqEbvTsUDARhciyycg5SzpohqISQrVHyr1A6k4HOmPCKXrBVHL5o\nZyzLIhQIQmMMrNKKX4TUFWWtCqWzGejYWKOX7Jzf5wPLc8ipCtJZaybBEEIeRcm/AlJOgnK/dLN7\njy3YslsMwyAU3Lj6jyfWH5kdTgixBiX/CqSz2UKXDymfz+uDw+mArKlIZWjFL0LqgTEb6NJL13Uo\nimLZ1WAl1fAMw8Cd/3sDWUPB27u6djzEk2EYOBwOqKpqWXwcx1lW3qHc+DLZLJaXliDybryj6+0V\n3TeptJphJRiGgdPpbPjPZ6Wsjs/OsQHWx5dIJMouimldjdMdymQylv1PCwQCSCaTZe2TzmaQSKfA\neRzI5/PI73DMOsdxCAQCkCTJsoRsZXGpSuJTdQ1r2XXwzMaN4HJVcv4qxfM8wuFww38+K2V1fHaO\nDbA+vkpQt0+Z0tkMdMaAV7S2NLMdhUMhaIyJeCpB6/0SYjFK/mXQdR1SToLJAGINFifZazxuDzwe\nN1RDRyKZqHdzCNlTKPmXISNJ0GDC4/FYtkKW3YWDG1f/6+mk5eWnCdnLKPmXISNlYDAmdflUkcvl\ngiB4oMFAnK7+CbEMJf8d0jQNOTkHsKByDlUWDoagMyaSmRTUBl8AgxC7oOS/QxkpCw0m3G4PlXOo\nMqfTCVEQocGgBV8IsQhlsR3KSNn7XT40sasWQsEgdMZEKpOGqqr1bg4htrdt8p+YmMC+ffvQ29v7\nyCLsm06fPo3e3l4MDAxgenq68HwikcDzzz+P/v5+7N+/H5OTk9VruYU0TUMuL8NkAcHjqXdzbMnh\ncMDr9W4M/aS+f0JqrmTy13Udp06dwsTEBG7duoVLly7h9u3bRduMj4/jzp07mJmZwfnz53Hy5MnC\na3/wB3+AY8eO4fbt2/jFL36B/v7+2kRRYxkpCx0mBI9AXT41FApsXP2ns2koqlLv5hBiayWnht24\ncQM9PT3o7u4GABw/fhxXrlwpSuJXr17FiRMnAABDQ0NIJBJYWlqC2+3GK6+8gm9/+9sbB+J5BAKB\nwn7pdBrpdHFdF0EQKp6tVgmGYXZ0vFw+D/As/D5/xUM8eY4v+mkFhmEsG5JajfgKs4RTGaQyGXS0\nlV7ucafnrxo2j9OIn89qsDo+O8cGWB9fJTOXS7ZuYWEBXV1dhcexWAxTU1PbbjM/Pw+O49DW1obP\nfvaz+PnPf47BwUGcPXsWgrAxUubmzZu4fv160XuNjIyUXZ9it8LhcMnXNU2DM74Kr4tBZ0fHrq/8\nRa+1w0Qf/MK1wm7jE0URs2/+HwAWgihuWzV1u/NXbX6/39Lj2Tk+O8cGWBufLMtl71My+TMMs6M3\nebhYEsMw0DQNr776KsbGxvDss8/ixRdfxFe/+lX82Z/9GQBgcHAQfX19RfsJgoBUKmVZ/Y2d1L5J\npFNYTyXgEN2P/KVSDp7jIXpFZDNZaLo18QmCAEmyZsWsasbHgEE8tQ5zVkdnW+Sx21lZu4jnefj9\n/ob7fFaL1fHZOTbA+vgq2q/Ui9FoFHNzc4XHc3NziMViJbeZn59HNBqFaZqIxWJ49tlnAQDPP/88\nvvrVrxa28/l88D209q2u64jH45adINM0tz1WMpWCYmjwu91VmYGq6ZplM1lN07R81mw14vN5vUim\nEkikkvCLPriczi2328n5qzZN0xrq81ltVsVn59iA+sRXrpJ9GIcPH8bMzAxmZ2ehKAouX76M4eHh\nom2Gh4dx8eJFAMDk5CSCwSAikQg6OjrQ1dWFX/7ylwCAa9eu4amnnqpRGLWhGwZy8kYtH5rYZR2e\n5+Hz+jdG/iRo3D8htVDyyp/neYyNjeHIkSPQdR0jIyPo7+/HuXPnAACjo6M4duwYxsfH0dPTA1EU\nceHChcL+X//61/HJT34SiqLgySefLHqtGWTvj/Jxu900ysdiwUAA6UwKmVwWcj5PK6YRUmXbdhYd\nPXoUR48eLXpudHS06PHY2NiW+w4MDOBnP/vZLppXX1lJgsGYEAW66rcax3Hw+/xIJ9OIJ9fxRHtH\nvZtEiK3Q5exjGIaBrCwVxvcT6wX8AZgskMlJkPPlj2YghDweJf/HkOQcdNOEy+WydHwweQvHcfD7\n/dBp1i8hVUfJ/zGoy6cxBOnqn5CaoOT/GNnc/S4fSv51xbLs/at/A2sJuvonpFoo+W8hJ8vQDB0O\nBw+nY+sx5sQ6G1f/DLKyhFwFMxkJIY+i5L8FKbfR5UM3ehsDy7II+APQGVrti5Bqabg7mV6v95Fy\nEbXycLG5TfFUAm7Bg/b2Nnjc1SnhvFkqQxAEy+LjOA5erzXrD9Q6Po/ggaKpYAwWDpcTgtvz2PNX\nC5vxNcLnsxasjs/OsQHWx5eooEu04ZJ/JpOxbFp0IBBAMpksek5VVaytx6HygK7pVavPUahYKUmW\nlVywsr6IFfE5eQeSiQRm3/w/RCOdW56/WuF5HuFwuO6fz1qxOj47xwZYH18lqNvnIYUbvVW64ifV\nE/D7YXIssnKO+v4J2SVK/g/Jbvb30yifhsOyLAI+//2+f6r5Q8huUPJ/wEYht9z9Qm505d+IHrz6\nl3LWlKsmxI4o+T8gl5OgA3C5XFTIrUGxLIug3w+NMbC6Hq93cwhpWpThHpDN5WiIZxPw+/wAxyKb\ny0GSc/VuDiFNiZL/AyQ5d39WL3X5NLLNq38VGtX7J6RClPzvk/N5qLoGnmb1NgW/b6PvX8rL1PdP\nSAUo+d9XmNVLQzybAsuyCAWC0KjmDyEV2Tb5T0xMYN++fejt7cWZM2e23Ob06dPo7e3FwMAApqen\nC893d3fjmWeewaFDh/Dud7+7eq2ugWwuBwMmjfJpIgG/HwzHIqfQ1T8h5So5NUzXdZw6dQrXrl1D\nNBrFs88+i+HhYfT39xe2GR8fx507dzAzM4OpqSmcPHkSk5OTADamHb/88ssIh8O1jWKXdF1HXpFh\ncoDb7a53c8gObdb8SayvYy2RoBv1hJShZPK/ceMGenp60N3dDQA4fvw4rly5UpT8r169ihMnTgAA\nhoaGkEgksLS0hEgkAgCPraWRTqeRTqeLnhMEwdKFUxiGAc/zG7NFORaC4IHD4ajJsXiOL/ppBYZh\nwHGcJceqV3yhYBDpbAaKpiKvKDVbf2Hzc1mPz6cVrI7PzrEB1sdXSdmKkq1bWFhAV1dX4XEsFsPU\n1NS22ywsLCASiYBhGHzgAx8Ax3EYHR3F7/3e7xW2u3nzJq5fv170XiMjI+js7Cw7iN0Ih8OQNQWC\nz4tQa7jmxZhEr1jT93+YVcWlNlkdXygUAlgG8dU1aKZe878y/X5/Td//YVb/1WxlfHaODbA2PrmC\nciclk/9mNbztPO7q/ic/+QmeeOIJrKys4IMf/CD27duH9773vQCAwcFB9PX1FW0vCAJSqZRlxZc2\nC5/dvXsXkqnAF/DVrBgTz/EQvSKymSw03Zr4BEGAJFnTF17P+BgTyMoS5LQEjmHhFar/BcTzPPx+\nf10+n1awOj47xwZYH19F+5V6MRqNYm5urvB4bm4OsVis5Dbz8/OIRqMAgCeeeAIA0NbWho9+9KO4\nceNGIfn7fD74fL6i99J1HfF43LITZJomMtksZFUBnCw4lqt5xU1N1yyr6mmapmXH2lSv+PxeH+Jr\ncSyvrsD9hKtmx9Q0zdLPp1XH2mRVfHaODahPfOUqOdrn8OHDmJmZwezsLBRFweXLlzE8PFy0zfDw\nMC5evAgAmJycRDAYRCQSgSRJhT79bDaLH/zgBzhw4ECNwqhcTs7REE8b8Hl9YHkOOVVBJmvNFRch\nzazklT/P8xgbG8ORI0eg6zpGRkbQ39+Pc+fOAQBGR0dx7NgxjI+Po6enB6Io4sKFCwCAxcVFfOxj\nHwOw8Y37yU9+Eh/60IdqHE75sjkJBkx4PDTKp5kxDINgIIj42hrWkgl4RWsWsSGkWW3bWXT06FEc\nPXq06LnR0dGix2NjY4/s9453vAOvvfbaLptXW7qhQ87LMFlUbcUuUj8+rxeJVBKyoiCdzcBHXwCE\nPNaenuEr5XJUxdNGGIZBKHB/rd/EumVL9hHSjPZ0xtss6UBX/fbh8/rAOXjImoqURaMtCGlGezr5\nZ6XN/n5K/nYSCoagMQbWk3T1T8jj7Nnkr6oq8qoKhmPhdtVuaCCxnlcU4XA6kNc1pDLp7XcgZA/a\ns8lfkmUYMOChWj62FApuVPyMJxMwDKPezSGk4ezZ5J+TJegwqL/fpkRBhNPlRF5XkaSrf0IeYV2l\nox3yer2W9NMur68Bpom2tlY4+NoUc3vQZqkMQRAs64fmOA5erzXDHRsxvq5oDPcWF6HpGnw+365G\ndG3GZ9XnE9iYZ2NVbSar47NzbID18SUqWNOi4ZJ/JpOp+bRoOS8jkUrCE/QiL+eRR76mxwM2ElUg\nEIAkSZaVP7CyvkijxqcbOtayCXBzbyIcDFV8LJ7nEQ6HLfl8bgoEAjWrNfUwq+Ozc2yA9fFVYk92\n++RkeWOIJ43ysb1wMASNMbGeTlpe54iQRrYnk78kb67aRYt/2J3b7YYgeKAaOtZTtNwjIZv2XPI3\nDAM5OQeTAdXz2SPC98f9J9LWlfQlpNHtueQv52XoAJxOJzjWmlWuSH05nU54RS80bAz9JITsweSf\nk2WYjEnj+/eYUDAInTGRyqSgqmq9m0NI3e255C/JOehU0mHPcTgc8Hl90BgTa8n1ejeHkLrbU8lf\n13XISh5gAbeLrvz3mmAgAIM1kc5mIOdrP7yXkEa2p5J/Ts7BwEbi3+n6xMQ+eJ6H3+ffuPpP0NU/\n2du2Tf4TExPYt28fent7cebMmS23OX36NHp7ezEwMIDp6emi13Rdx6FDh/Bbv/Vb1WnxLkib4/up\nv3/PCgaCMDkGWVmClLNmcXtCGlHJ5K/rOk6dOoWJiQncunULly5dwu3bt4u2GR8fx507dzAzM4Pz\n58/j5MmTRa+fPXsW+/fvb4gr7VxehgETbqrns2exLIugPwCNMejqn+xpJecF37hxAz09Peju7gYA\nHD9+HFeuXEF/f39hm6tXr+LEiRMAgKGhISQSCSwtLSESiWB+fh7j4+P4kz/5E/zVX/1V0Xun0+nC\nAu+bBEGoeKrydjRNg27o4Bw8RGFjchfDMOA4a4Z78hxf9NMKFN/WwqEQMlIGeVVDTpbh20H9o83P\nZa0+n1thGMay41kdn51jA6yPr5L5KyVbt7CwgK6ursLjWCyGqampbbdZWFhAJBLBH/7hH+Iv/uIv\nkEqlHnnvmzdv4vr160XPjYyMoLOzs+wgdiKZTkH0+xDwOIsKLllVfGmT6BUtPR7FtzWWY7G8vALN\n1BEKhXb8l6nf76/oeJUKh8OWHs/K+OwcG2BtfLIsl71PyeS/01+IhyvlmaaJ73//+2hvb8ehQ4fw\n8ssvP7IdBVkhAAAegUlEQVTP4OAg+vr6ip4TBAGpVG1mYS6tLiOZSSLoCBUKLgmCAEmypt+X53iI\nXhHZTBaabs0sU4qvNDkvQ05nwZhA0F/6S4Tnefj9/pp9PrdiZWE+q+Ozc2yA9fFVtF+pF6PRKObm\n5gqP5+bmEIvFSm4zPz+PaDSKf/7nf8bVq1cxPj4OWZaRSqXwmc98BhcvXgQA+Hw++Hy+ovfSdR3x\neLwmJyidyUA1dDgdzkKBL9M0LS/2pemaZcek+EoL+gNYWl7G8toqPG4PuB2UfNY0zbIEYpqm5eUo\nrIrPzrEB9YmvXCU/7YcPH8bMzAxmZ2ehKAouX76M4eHhom2Gh4cLCX1ychLBYBAdHR348pe/jLm5\nObzxxhv4zne+g9/4jd8obGc1VVWh6hoYjoXT6axLG0jjEQQBLrcLiqEhQWUfyB5T8sqf53mMjY3h\nyJEj0HUdIyMj6O/vx7lz5wAAo6OjOHbsGMbHx9HT0wNRFHHhwoUt36ueo30kWd6Y1UujfMhDWkJh\nLMh3sZ5Owu/zw2HhTUFC6okxrVraZgdq1e2zuLqMdSmFUEsYft9bN33qsdhJMmldXXmKb2eWV1Yg\nZyUEBR86Wtu33GZzQZBadUtupR4LnlgVn51jA6yPT9O0sgfL7IkZvjl5o5KnmyZ3kS2EQyEq+0D2\nHNsn/83+fo5j4XRQfz951FtlHwysrq/VuzmEWML2yV+SN2f10lU/ebxgIAhwLKS8jEzWmq4yQurJ\n9sk/l89R/X6yLZZlEbq/4tdaYv2RuSuE2I39kz/195Md8vt84J0OyJqCRMqam3WE1Iutkz/195Ny\ntYTDUBkT8VTC8glyhFip4QY1e73eqv3JnUglIYgCnF4PvFsU7+I4bsvna2FznoMgCJZ1KVB85fN6\nvdB0HUpWhqJr6Lhfn2Uzvmp+PrfD87xltZmsjs/OsQHWx5dIlD9JseGSfyaTqdpY3KXVZaSlDEIe\n55bjwesxDl6SpKYbB78TdorP7XRhdXUVclYCYwJul6swVryan8/t1GMsvFXx2Tk2wPr4KmHrbh/q\n7yeVcDgcCPhp6CexN9smf+rvJ7uxOfQzm5eRpqGfxIZsm/xpfD/ZDZZl0RIO37/6j8MwjHo3iZCq\nsm3yp/H9ZLe8ohcutwt5XaUlH4nt2Db5y5v9/S5K/qRyLaEwdNZEIp1AXlHq3RxCqsaWyV/VNKi6\nBpbq95Ndcrlc8Pl8UE0DSyvL9W4OIVVjy+Sfk3PQYcLtctW7KcQGwsEQwLNI5zJIWzR0lpBa2zb5\nT0xMYN++fejt7cWZM2e23Ob06dPo7e3FwMAApqenAWx0uwwNDeHgwYPYv38/vvjFL1a35SXIeRkm\nA1q8hVQFy7IIh0LImxpW1teg081fYgMlk7+u6zh16hQmJiZw69YtXLp0Cbdv3y7aZnx8HHfu3MHM\nzAzOnz+PkydPAtgYW/+jH/0Ir732Gn7xi1/gRz/6EX7yk5/ULpIH5DZH+tCVP6kSn9cHl9u9cfN3\nPV7v5hCyayWnht24cQM9PT3o7u4GABw/fhxXrlxBf39/YZurV6/ixIkTAIChoSEkEgksLS0hEolA\nEAQAgKIo0HUd4ftT5QEgnU4jnU4XHU8QhIpnq23SNA26aYBz8IXjPw7DMOA4blfH2yme44t+WoHi\nqx6e4xFpa8f6+jqychaaHqr5xQXDMLv+fdipzeNYdTw7xwZYH18lM5dLtm5hYQFdXV2Fx7FYDFNT\nU9tuMz8/j0gkAl3XMTg4iNdffx0nT57E/v37C9vdvHkT169fL3qvkZGRspcie1gqk4bo9yHgce6o\ntoZV9Tc2iV7R0uNRfNX1ROcTSCUSyGsKOjs6ar429YMXTFbw+/3bb1Qldo4NsDY+WZbL3qdk8t/p\nB/vhYkmb+3Ech9deew3JZBJHjhzByy+/jF//9V8HAAwODqKvr69oP0EQkEqldlV/Y3ltFcl0En4+\nuG1tDUEQIElSxccqB8/xEL0ispksNN2a+iIUX/VsxudyOJGVc5DSWRiajlAgWLNjWlmbied5+P3+\nXf/+7ZSdYwOsj6+i/Uq9GI1GMTc3V3g8NzeHWCxWcpv5+XlEo9GibQKBAD784Q/jP/7jPwrJ3+fz\nwefzFW1XjQXcM9kMVEOH0+HctsCYaZqWl+3VdM2yY1J81WeYBkLBEBaXlrC0tgK3yw1Hjf68N03T\nsmS1SdM0S45p59iA+sRXrpI3fA8fPoyZmRnMzs5CURRcvnwZw8PDRdsMDw/j4sWLAIDJyUkEg0FE\nIhGsrq4Wyozmcjn88Ic/xKFDh2oUxgZd15FXFYAFXDS+n9SI4PHAK4rQYGB5bbXezSGkIiUvWXie\nx9jYGI4cOQJd1zEyMoL+/n6cO3cOADA6Oopjx45hfHwcPT09EEURFy5cAADcu3cPJ06cgGEYMAwD\nn/70p/H+97+/psHk8jIMAC6nq+Z9sWRvawmHMSfnkJUlpDJp+L2+7XcipIFs+/fq0aNHcfTo0aLn\nRkdHix6PjY09st+BAwfw6quv7rJ55dkY30/F3EjtcRyH1nAYKyurWF1fg+gRLBt5REg12GqGb07O\nQwcVcyPW8IpeeAQPFFPHSpy6f0hzsU3yNwwDeUUGmI1uH0Ks0BpugcECKSmLDNX9J03ENslfVvLQ\nATidTrCsbcIiDY7neYRDYaiMgeX4Gi36TpqGbbJkTr7f308lnInF/D4f3B43FFOj0T+kadgm+cv5\nzZW7qMuHWK+tpRUGC6RzWVr2kTQFWyR/0zQh5/P3i7nRlT+xHs/zaAlvdv+sNvwEH0JskfzzSh66\nacDpdNJwO1I3Pq8PHsED1dSxRN0/pMFZV+Zuh7xe7yO1grajJwx4RAEevwiv17vj/TiOK2v73dic\ndCYIQtnxVYriq56dxvf/PB68OT8H6AwMmLuq/cPzvGWF6zbjq+T3rxJ2jg2wPr7NagrlaLjkn8lk\nyv6TeXllBWk5A5foLquYkpXFlziOQyAQgCRJlo0Iofiqp5z4RI+AxeVl5N6U0NURrbjUSCAQ2LY4\nYbXwPI9wOFzR718l7BwbYH18lbBFt09u82Yv9feTBiAIAvw+H1ToWFpdtuxqk5ByNH3yV1QFmqGD\n53lLF2sgpJRwKATWwUNS81iJr9W7OYQ8oumTf06mUT6k8bAsi0hbOwzORCKTQkbK1rtJhBRp+uT/\nVjE3Gt9PGovT6UQoeH/459oKVBr+SRqILZK/AdCVP2lIAb8fHsGDvKljcYX6/0njaOrkr2kaFE0F\nwzJw0uItpEG1t7aB4VlIioy1RLzezSEEQJMn/8JVP5VwJg2MZVm0t7VDYw3EU0nq/ycNYdvkPzEx\ngX379qG3txdnzpzZcpvTp0+jt7cXAwMDmJ6eBrCx3u/73vc+PPXUU3j66afxta99rbotB5DL52Ey\nJpVwJg3P7XIVqn8ura1AUZV6N4nscSWTv67rOHXqFCYmJnDr1i1cunQJt2/fLtpmfHwcd+7cwczM\nDM6fP4+TJ08CABwOB/76r/8a//3f/43JyUl84xvfeGTf3ZLzMnQq5kaaRMDvhyiKUEwN91aWYRhG\nvZtE9rCSA+Nv3LiBnp4edHd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cMfjs50Rjn6rIMLw2Ty9Ku0zdbpfxeLyQc+m6zsrKyrl+P+dlUe27yW2D29G+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\nAl3TTqeM1nVNnKTEacogiFDCCFsPMQw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} ], "prompt_number": 59 }, { "cell_type": "markdown", "metadata": {}, "source": "Much better! Lets take a look at the histogram as well in ggplot style: " }, { "cell_type": "code", "collapsed": false, "input": "def rhist(ax, data, **kwargs):\n '''Creates a hist plot with default style parameters to look like ggplot2\n kwargs can be passed to changed other parameters\n '''\n defaults = {'facecolor' : '0.15',\n 'edgecolor' : '0.28',\n 'linewidth' : 1, \n 'rwidth': 1}\n \n for x,y in defaults.iteritems():\n kwargs.setdefault(x, y)\n \n return ax.hist(data, **kwargs)\n\nR = scipy.stats.exponweib.rvs(1, 2.0, scale=10, loc=0, size=5000)\nfig, ax = plt.subplots()\n_ = rhist(ax, R, bins=30)\nrstyle(ax)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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KIqxWqyaPHy1nB5hfDrXzZ2VlKe7HUzpERDrBgk9EpBMs+EREOsGCT0SkEyz4REQ6kRZX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\nmJeXBwB4+OGH8dx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} ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": "Lastly, we will put the two together: " }, { "cell_type": "code", "collapsed": false, "input": "fig, ax = plt.subplots()\n_ = rhist(ax, R, bins=30)\nrstyle(ax)\nax2 = twinx()\nrfill(ax2, x_range, rv.pdf(x_range))\nax.set_ylabel('Frequency')\nax2.set_ylabel('PDF')", "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 46, "text": "" }, { "output_type": "display_data", "png": 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lgq7rpKcnrtAE+wdwqhpqips5l6bQcqe4E9a+7RQFU1e4yeUmMNDLgGXFDatP5HcFif/+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\n" } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": "Why weibull pdfs? Because that's what the wind industry uses to determine wind speed distributions. This was all motivated by my slowly growing wind data analysis library that's being built on top of pandas: https://github.com/wrobstory/climatic Here's another quick ggplot-like example using one of the tools from that library: " }, { "cell_type": "code", "collapsed": false, "input": "import climatic as cl\nwind_direction_freqs = [0.059, 0.048, 0.091, 0.142, 0.25, 0.129, 0.014,\n 0.013, 0.09, 0.044, 0.03, 0.09]\ncl.wind_rose(wind_direction_freqs)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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7WCyGYDCI0tJSOBwOhEIh6HQ62O12mM1mqNXqah9zz549yMnJQZMmTaBSqTBy\n5Ehs2bKl3Nd07txZXC3RsWNHnD59usrPvRK9Xo9AICCrny+j0YgXXngBPXr0QNeuXbFnzx6pQyJx\nRMlFmnrxxRfxpz/9CcuWLcP06dNlOa/p9Xqh1+ulDqNSQkJhs9mgUCjg9XrhcDjg9XrTen4/nUQi\nEXg8HjgcDvh8PqhUqmonGmfOnEGjRo3Efzds2FBMHiry5ptvol+/fjV67oWEZmVy3PyPZVnce++9\n+Oc//4lBgwZhw4YNUodE4iR9JrUJgLK55kcffRSrV6/Ghg0bcM0110gdUq34/X4YDIa4bhcdD2q1\nGlqtFkqlUpzbT/W5blI1HMfB5/PB5/NBoVBAp9OJO4sGg8HLrj6pTgK/Y8cOvPXWW9i4cWO1n3ux\nZO0fkkj5+fm46qqrcPPNN+PcuXO48847pQ6J1BIlF2mE4zjcfffd2L59OzZs2JAWc5jBYBA2m01s\nGy0llmWh1+uhVqsRDofh8/kooUhzHMfB6/UCgNi4TOgjcfHPZFZWFk6dOiX++9SpU+VGIwT79+/H\n/fffj7Vr14r7blT1uRcTOrKmw3Lbdu3a4Z133sFNN92EM2fO4J///KcsR1xJGZoWSROhUAgTJ07E\nvn378Pbbb6dFYiHweDwwmUySvb5Wq4XNZhPbkwtTHpRYZJZoNCpOnUSjUZjNZlitVrGWqUOHDigp\nKcHx48cRDoexadMmDBo0qNwxTp48iRkzZuC5554rN6pYledWxGQypdWS7WuuuQYbNmzAO++8g1mz\nZtHvmIzRapE04Ha7MWrUKJhMJjz77LOyK4KsCrPZjEAgkLQ7NGHpqEqlQjAYlF2xXKKky2qReBE2\ngBOWFr///vv45z//CY7jMGnSJMyZMwevvfYaAGDq1Km47777UFhYiOzsbABlIw8ffvghAOCzzz7D\nww8/XO65VyL0SRFGVtKJ2+3G7bffjvr16+P1119Py3NauqPkQubOnDmDIUOG4Prrr8eCBQsk2dE0\nGZK1NFWtVkOv14Pnefj9/rQYbo4nSi4uL9k/O3a7PWX2D0mEUCiEefPmweVyYePGjbBYLFKHRKqB\npkVk7MiRI+jRowfy8/OxcOHCtE0sgLKlg+FwOGF3MHq9Hna7HWq1Gm63G6WlpZRYkGoJh8NwuVzw\ner3QarWw2+3Q6XQJeS2DwZD2++9oNBosW7YMLVq0QK9evaq8eoakBkouZOq7775Dr169MHv27Ixp\noevz+aCUVkuaAAAgAElEQVTX6+P2vTIMA6PRCLvdjlgsJtZSSF04SuSN4zixNoNhGNjtdhgMhrj9\n3AoNwILBYFyOl8oUCgUWLFiA4cOHo0ePHjh8+LDUIZEqotUiMrRjxw6MHj0ajz/+OAYPHix1OEnl\n8/lgMBhqNc/MsiwMBgOUSiX8fn9azlmT1OD3++H3+8Wi4HA4DL/fX6sENh2WnlYHwzCYPXs26tat\ni969e+OTTz5J+S0MCCUXsrNt2zaMHTsWy5cvR15entThJF0oFIJer4dCoah2JblCoYDRaATDMPD5\nfDTtQZImGAwiGAxCrVbDYrGIS1yrm2QIm7BlYnO2iRMnQq/XY8CAAdiyZQuuvfZaqUMiV0DJhYwU\nFRVhwoQJeP7553HjjTdKHY5khKWpVd1W+sKkgrpmEimFw2GEw2GoVCpYLBZEo1H4fL4qJxlGoxGl\npaUJjjJ1FRQUgGVZDBo0CIWFhbjuuuukDolcBiUXMrF161ZMmjQJK1euRPfu3aUOR1LRaBQcx4nN\nrC6HZVkYjUawLEtJBUkpkUgETqezXJLh9XqvuNxZq9UiHA5nfE3Q8OHDoVQqMWTIEHz44Yfo1KmT\n1CGRClByIQNbt27F5MmTsWrVKnTp0kXqcFKC1+uFzWarcCmeUKipVCrh9Xpp+oOkLCHJUKvVsFqt\niEQi8Pl8lyQZDMNAr9en9dLT6hgyZAhYlsXQoUPx0UcfUYKRgii5SHFFRUWYNGkSJRYX4XkewWAQ\ner2+3JI8g8EAjUYDr9ebUUVvRN6E6RKNRiO2u79wI7JU3F9HaoMGDQLP8xg6dCi2bNlCUyQphpKL\nFLZt2zZMmDABK1eupMSiAn6/H3a7HYFAABqNRkw06O6OyFUoFBKLlu12O3w+H6LRaNp24qytwYMH\ng+M4DBkyBJ988gnat28vdUjkfyi5SFE7duzAuHHj8Pzzz2d8jcWVBINB1K1bl5IKklb8fj8CgQAM\nBgMsFktGF3FWJj8/HxzHYfDgwdi6dStyc3OlDomAkouU9N1332H06NFYtmxZRq8KuRKGYWAymcAw\njLgVNiHphOd5hMNhcdt3tVpdadFnphoxYgRisRgGDhyI7du3o2nTplKHlPEouUgxR48exfDhw7Fk\nyZKM7GNRFTqdDjqdDh6PB5FIBAqFolpLUwmRC6PRCKfTCZ7nxXoMv99PyXQFRo4cCa/Xi0GDBmHH\njh1ptTO0HFH77xRy9uxZDBo0CPfddx+GDBkidTgpR6VSwW63g2EYOBwOcRUIx3GIRqPi1teEpAOd\nTodgMCiOVIRCITgcDigUCthstrTeS6impkyZgrFjx2Lo0KFU0C0xSi5ShNvtxpAhQzB+/HhMnjxZ\n6nBSjslkgl6vh8vlqnDDJqEtOCHpgGEY6HS6y/6su91umEwmGI1GCaJLbXPnzkWHDh0wevToK/bB\nIYlFW66ngFAohPz8fFx11VV47LHHMmITsqpSq9UwGo3w+XwIhUJX/FqdTgeWZWnJXgLRluvJYTKZ\nEAqFKr04arVa6PV6uN1uahJ3AY7jMHPmTOj1erzxxhtgWbqPTjZ6xyUWi8UwdepUGI1GLFy4kBKL\n/2EYBmazGVqtFk6ns9LEAgACgQDUajWdSIisKRQKKBSKKt11B4NBuFwuGI1GmEymJEQnDwqFAv/5\nz39w/PhxzJs3j4pgJUBnYQnxPI+5c+fi1KlTePbZZ2kO9X/UajVsNhuCwSDcbne1Tgxer5eGioms\nVXfX01gsBpfLhXA4DLvdLm5ulum0Wi1WrVqFoqIiLF68WOpwMg6tFpHQokWLUFxcjLfffhtarVbq\ncFKCsLxUqJCvrkgkAr1eD6VSScPERHY0Gg04jqv2jr8AxGmUC/cqyXQWiwWvvvoqRo8ejQYNGuDW\nW2+VOqSMQSMXElm9ejVWrlyJV199FRaLRepwJKdUKmG32xEOh6s9WnExYddUQuTGYDDUKingeR4u\nlwscx9GKkv/JysrC66+/joceegibN2+WOpyMQQWdEti+fTvGjRuHd999l5q9oOyEqlKp4Ha747bj\no8FgAMdx1A8gzqigM3H0ej14ni+3p0htKBQKmM1mBIPBuB1Tzvbu3Yubb74ZxcXFaNu2rdThpD0a\nuUiyY8eOYcKECVi6dGnGJxYsy8Jms4lzxvHcStrn80Gv18fteIQkEsMw0Gq1cU0COI6D0+kEy7Kw\nWq0ZXyx+3XXX4ZFHHsGIESPwxx9/SB1O2qPkIol8Ph8KCgowa9Ys9OrVS+pwJCVsMe3xeBJ2V+X3\n+6m4k8hCdYs4q8Pn88Hn88Fms0GpzOwyuzFjxmDYsGEYP3682ISPJAYlF0nC8zymTZuGdu3aZXxR\nkcFggE6ng9PpTGjRZTAYhEqloqWpJKUplUpxj5xEiUQicLlcYjO6TPbAAw9AqVTi3nvvlTqUtEZn\n3SRZuHAhjh8/jkcffTRjhycZhhGnQUpLS5Oy9pyKO0mqS+SoxYVisRicTicYhoHFYsnY85BCocDS\npUuxZcsWrFy5Uupw0lZmj5ElyYYNG7By5Ups3rw5Y5ecKpVKmM3mpHcSjEaj4HkeKpWKhkFJytFq\ntYhEInGtN6qMz+cTe8mUlpbWaNmr3FksFqxevRpjxoxBbm4uevbsKXVIaYdGLhJs3759uOOOO7Bq\n1aqM3aVPq9XCZDIlfBrkcrxeL41ekJSk1+sl6UcRDofhcrlgsVigVquT/vqpoFmzZli6dCnGjx+P\n3377Tepw0g4lFwl0/vx5FBQUYOHChbj22mulDkcSJpMJarW6xk2x4iEWiyEYDEKn00ny+oRUxGAw\nVLgxWbLEYjE4HA7odLqM3fSvd+/euOuuu1BQUEB7EsUZJRcJEo1GMX78eIwePRojR46UOpykYxgG\nVqsV0WgUbrdb6nDg9/uh0+kydp6ZpBaWZaFWq1OiD0tpaSkAZGwzvxkzZiA3Nxe33nor7UESR5Rc\nJMjChQsBAPfdd5/EkSSfQqGAzWaDz+dLqeY9Pp+PlqaSlJCsIs6qEn5XbTZbxq2uYhgGjz32GA4c\nOID//ve/UoeTNqhDZwJ89tlnmDJlCgoLC1G/fn2pw0kqlUoFk8mUsoViQm+NVIxNDqhDZ+2pVCro\ndLqUGNG7mFB4naq/v4l09OhRjB49Gp9++mnGTmPHEyUXcXbu3Dl07NgRzz77bMZVIGs0Guj1erhc\nrpQdXlQoFDCZTHC5XFKHkvJYlgXDMOWmksxmMwKBgLgKR8DzPHieT+qqB7kSVmmk6nsldPT0eDwZ\nt8Jqw4YNWLp0Kb799tuMrUOJF0ou4igWi2Ho0KFo27Yt7r//fqnDSSq9Xg+VSiXO36Yyk8kk7iCZ\nSRiGgUKhEB8sy4p/XkxIFi58ABCXUgu1AkLiISQhwkOr1ZarJ4jFYuA4TvyT47iM3LVWq9VCoVCk\nfPGgUDMVCARSoi4kmf7yl79ApVJhzZo1Uocia5RcxNGSJUvw3nvvYf369RnVZleoY5DLFs9CMy+H\nwyF1KAmhUCigVCrFh5A88DwvXtiFRywWq9YddE2nRViWFZOZCx9CchKLxRCNRsVHOg7Jy/HnzmKx\nIBKJSLqqJdl8Ph+GDx+Ohx56CDfffLPU4cgWJRdxsmvXLowaNQoffPABsrOzpQ4nacxmM6LRqOxO\nPsLKEbnFfTGlUgmVSgWVSiVury2MCgiPeA6/J6rmgmXZcgmR8L1Eo1FEIhFEIpGEJxxFRUX45z//\niVgshsmTJ2PWrFnlPn/kyBHcc889+PHHH/HAAw/gz3/+s/i5rl27wmQyiYndhx9+eMnxjUYjIpEI\nQqFQQr+PeDOZTOB5XjY3D/Fw4MAB/OlPf8IXX3yBVq1aSR2OLFFyEQdOpxMdO3bEwoULMWDAAKnD\nSRqLxYJwOJxSK0Kqw263S9p/oybUajXUajVUKhWA5F58geQXdF6cPPE8j0gkgnA4HNd6AI7jkJeX\nh3Xr1iErKwv5+flYsWIFWrRoIX7NH3/8gRMnTqCwsBAWi6VcctGtWzcUFhbCZrNVeHxh+3O5FsMa\nDAawLJtSK1wSbe3atXj11Vexe/fujO2sXBuZteYoAXiex6233oqhQ4dmVGJhtVoRDAZlm1gA8ujc\nqVQqYTAYYLPZYLPZoFKpEA6H4XQ64XQ64fF4EAwG03IaAShLngKBANxuN5xOJ0pLSxGJRKDRaMT3\nxGAw1Hoacs+ePcjJyUGTJk2gUqkwcuRIbNmypdzX1KlTBx06dLjsa10pSU21pafV5fP5EI1GM6oX\nxuTJk9G8eXPa4KyGKLmopRUrVuDXX3/FAw88IHUoSSHMG/v9ftkN714sHA6Lw/GpQiiGtFgssNls\n0Ol0iEQiYjLh8/kyrhD1QjzPIxwOw+v1wul0wuVyIRqNQqfTwW63w2KxQKPRVPu4Z86cQaNGjcR/\nN2zYEKdPn67y8xmGwcSJEzFkyBCsXbu23OfUarVYUyJngUAAoVAIVqtV6lCSgmEYLFq0CIWFhXj3\n3XelDkd2UuesKkNHjx7Fww8/jE2bNtXohCY3QgW51+tNmyVqHo9H8uFqlmWh1WrFn6FQKASPx5Oy\nSxVTCc/zCIVCYqKrUCjEUQ3hc8FgsNKpr9p2bt24cSMaNGiAP/74AxMnTkTz5s3RrVs3AGW1FnKd\nDrmY8F5ardaMWM5tNpuxfPly3HrrrcjLy0O9evWkDkk2ZDFyEQwG0a1bN1x33XXIzc3F/PnzAQAO\nhwMDBw5Ey5YtMWjQoHI/7IsWLUKLFi3QunVrfPzxx3GPKRaL4ZZbbsE999yDa665Ju7HTzXpmFgA\nZXPtwjB7MjEMA51OB5vNBrPZjFgsBpfLBafTCb/fT4lFDXEcB7/fL06hAGVTeFarFVqt9rJJRFZW\nFk6dOiX++9SpU+VGMiojbEpYp04dDBkyBHv27AFQtkS7KsmNnIRCIQQCgYwZwbjuuuswYcIEzJw5\nM+Gv5XK5MG7cOLRp0wa5ubn46quvrnidS2WySC60Wi2Kioqwd+9e7Nu3D0VFRfjiiy+wePFiDBw4\nEIcOHUL//v2xePFiAMD+/fuxbt067N+/H4WFhZg5c2bcT9bLli1DJBLBtGnT4nrcVJSuiYXA5/Ml\nrWGOWq0WL3ZA2cnE5XKl3QUoFfA8j0AgICYaws9xRTuBdujQASUlJTh+/DjC4TA2bdqEQYMGVel1\nAoGAuJLC7/dj27ZtaNOmjTjFJfcVSRXJtARj3rx5+OGHH/D2228n9HXmzp2L/Px8HDhwAPv27UPr\n1q0ve51LdbJbLeL3+9G7d2+sWbMGY8eOxeeff44GDRrgzJkz6NOnD37++WcsWrQILMuKdRBDhgzB\nI488gu7du8clhqNHj6Jbt27YuHEjmjZtGpdjpqp0TywEiWxupFAooNPpoFarxZOyXEcm0qH99+X+\nPz777DM8/PDD4DgOkyZNwpw5c/Daa68BAKZOnYpz584hPz8fHo8HLMvCYDDg888/x/nz5zFjxgwA\nZQWoY8aMwZw5czKiWZtGo4FOp5PN3XRt7NmzB7fddhv27duXkOmR0tJSdOzYEb/88ku5j7du3brC\n61yqk03NRSwWQ6dOnXD06FHcddddaNu2Lc6ePSsORzZo0ABnz54FUDakeWEi0bhxY5w8eTJucdxy\nyy2YN29e2icWADIisQDKpt5sNltcL/xqtRp6vV68g86kPgGpjOM48f9CrVbDbDYDAAYPHox+/fqV\n+9qpU6eKf69fvz6++eabS45nMBjwySeflPuY0CQsnRMLAGKtSybUYHTs2BHjx4/HzJkzEzKCUVJS\ngnr16uGWW27B999/j+uvvx7PPvvsZa9zqU4W0yJAWdHb3r17ceLECWzbtg1FRUXlPn/xHggXi9dW\n28J0yPTp0+NyvFRmtVrh8/nSPrEQxGNpKsMw0Ov1sNvtUKvVcLvdKC0tTfuLjFyFw2G4XC643W5o\ntVrY7XbodLpaH1fuS0+rQyiazYRlqvfcc0/Cpkei0Si+++47zJw5E9999x0MBsMlUyCVXedSiWyS\nC4HFYsGwYcPw7bffisNEAHD69GlxB9Ls7GwcP35cfM6JEyfi0jXz6NGjWLhwIZ566imxg2C6slgs\nCAaDGXVRFJKomixNZVkWRqMRNpsNsVgMDocDXq9XttMfmSYWi8Hj8Yitue12OwwGQ41O5BqNJm1b\nmF9OMBhEJBJJ+b4xtaXVavH000/j7rvvxu+//x7XYzdu3BiNGzdGly5dAADjxo3Dd999h6ysrAqv\nc6lOFsnF+fPnxSG3QCCATz75BB07dkRBQQFeeeUVAMArr7yCUaNGAQAKCgrw1ltvIRwOo6SkBIcP\nH0bXrl1rFYMwHTJ37ty0Xx1iNpsRDoczbsMioGxpanVOkELnRaFbqcPhyMj3LZ0EAgE4HA5Eo1FY\nrVaYTKYKN3e7HIPBkPIbkyWCsMpJ2GsoXXXs2DEhq0eysrLQpEkTHDp0CACwdetWtG3bFiNGjKjw\nOpfqZFFzcfr0aUybNk3cZGnq1Kno37+/+J+8atUq5OTkYP369QCA3NxcTJgwAbm5uVAqlVixYkWt\nh5KWLVuGaDSa9tMhRqMRHMfJuvNmbcRiMYTD4Ut29byYMFLBsiy8Xq/sGySRSwn9M9RqNSwWC6LR\nKHw+3xVHowwGAwKBQMau/PH5fDCZTNDr9Wm5SkYwb948DB06FG+//TbGjx8ft+M+99xzmDJlCsLh\nMJo1a4aXX34ZHMdVeJ1LdbJbLSKFEydO4Lrrrkv71SF6vR4KhSJj5oqvxG63V7h7ZaYnFemwWqSm\n1Go1DAYDotEovF7vJQkEy7KwWq2y2vU0UYRpVbl38b2SvXv34rbbbsOBAwcyot6kuii5qIIJEyYg\nJycH99xzj9ShJIxGo4FWqxUbD2U6jUYDlUolripgGAYGg0H8WKYUuV4sk5MLgZBkhMPhctMfZrMZ\ngUAgY382Lmaz2dL+d2X+/PmwWq149tlnpQ4l5VByUYlPP/0Ut912Gz777LO4VJGnIqVSCZPJlPEX\njYvZbDaUlpZCq9VCq9XC5/Ol9Z1YVVBy8X+0Wq04/B+NRmEwGCg5v4CwD1FpaWnaFrc6HA707dsX\nn376Kdq3by91OClFFgWdUgmHw5g9ezYWLFiQtokFy7Iwm81pv0a9JoLBIOrWrQue5+FwODI+sSDl\nBYNBOBwOKBQK2O12KuS9CM/zKC0thcVikc3yyeqy2+24//77MXPmzIyts7kcSi6u4D//+Q+aNGmC\ngQMHSh1KQgjdN0tLS+kX4wLC3LlSqUQwGMy4ugpSPUIBtLCbbXVWlqQ7juPgdrvTuk34pEmT4PV6\nL9kNN9PRtMhlnDx5Eh06dMD777+PnJwcqcNJiExrklUVBoMBarUaHo8H0WhUHNqlIr0yNC1yqQuL\nf1UqFUwmE4LBYFqvlqgujUYDjUYDt9stdSgJ8d133+GOO+7AgQMHxI6vmY5S7Mu47777MH369LRN\nLIxGI0KhECUW/6NSqWC328FxHJxOpzhawfM8gsFg2k6LkdoxGo3lkohIJCImGjabrUYN2dJRKBRC\nLBaDXq+XOpSE6NSpE/r27YtHHnlE6lBSBo1cVKCoqAjTpk1DcXFxWl5UtFqt2JqaQGyS5Ha7Lzs9\nZLfb4XQ6M376iEYu/g/LsrBYLJd9P4R6JmHpKikbLfX7/WnZ+ff8+fPo168fiouL0bZtW6nDkRyN\nXFwkEolg1qxZePLJJ2Gz2aQOJ+6USiV0Oh0lFvi/0YpwOFxp3YnX6037zoOkeirbPyQWi8HlciEa\njcJut9MoBsp2/hT6xKSbJk2a4G9/+xtmzZqV8TchACUXl3juuefQqFEj9OzZEwqFIq2GNhmGgdls\npuVygNhF0Ol0VmkVSDgcFne6JESlUoHn+SoV+waDQbhcLhiNRhgMhiREl7qEFSTpVOAp3KQwDIOx\nY8fC4XBg3bp1UoclOZoWuYDL5ULLli3xzjvvoHnz5gDKhjZNJhN4npf9RlRUwFk2cmM2m+H3+6u9\ndFChUMBkMmX0sl2aFiljt9vhcrmqfT7Q6/XQaDQoLS2V9bmkttKhwFOY9hI2vRMupV999RXuuece\nHDx4EGq1WuIopUMjFxdYvHgxhg4dKiYWQNnQZmlpKQKBAKxWq2zvPISOgpmcWOh0OjE5qElPAo7j\nwHFcRp8wSNnPUTAYrFFy4Pf7xaWZWq02AdHJQygUAs/zsn0PjEYjLBYLvF7vJbVa3bp1Q8uWLfHC\nCy9IGKH0aOTif06dOoX27dtjy5YtV9yeXafTQafTyapbo0qlgsFgyNg7bmE6iOO4WhfWZfrS1Ewf\nuYjn/7/JZALDMLK+e68tm80mLvuWA6Era2Xn/59++gk33XQTDh8+nPbb0F8OjVz8z4IFCzBlypQr\nJhZA2XbMTqcTKpUKNpst5efgGYaByWTK2DoLpVIJm82GQCAQl4p9nucRCATSdkkduTKj0Ri37dQ9\nHg9CoRDsdnvKn0cSpbS0FGazOeU7eArnEYVCUaVuvW3btkWvXr3w9NNPJynC1EMjFwAOHTqEHj16\nYNu2bdVaISLMwQt3xKn4Vlqt1ozcvRMou8vQ6XQJmd/O1KWpmTxykaiaG4VCIQ6xp+MSzcqo1Wrx\n9zTVCDV3QFkyWJ3zyLFjxzB8+HAcOHAA9erVS1SIKYuSC5TtetqyZUvMmjWrRs9Xq9UwGo0p15VP\nuLtOpZiS5cITQiKoVKqMXNKbycmF1WqFx+NJ2CZcFosF0Wg0biMjcmIymRCJRFJqfxahW29tdnZ9\n+OGHodPp8J///CfO0aW+jE8uvv32WwwfPhxffPFFrYe69Xo9tFptStyBZOpOp8J+KcFgEIFAIKGv\nZbFY4PP5MmpUKFOTC7VaDY1Gk7BkVWAwGKBUKlPyLj7RaroCJ940Gg0MBkONVpRd7Pfff0ffvn3x\n7bffpm2358vJ+ORi4MCBGDx4MKZMmRKX4zEMA6PRCIVCkdC7nMqkyi9qMgnDyx6PJymrYirr0JiO\nMjW5SOY0mDASmmm/v1LfEAmvH4lE4PP54vZ//cwzz+DMmTN49dVX43I8ucjogs5PP/0UJSUlmDBh\nQtyOyfM8PB4PvF4vzGYzjEZj0ouVTCYT/H5/Rp2YVCoVLBYLXC5X0pbbxmIxRCIRaDSapLwekYZe\nr0cgEEhafU04HBaXq6ZLA7+qiEajCIVCSS+WFlaTGY1GuN3uuNfPzZgxA1u2bMEPP/wQt2PKQcYm\nFzzP48EHH8SDDz4IlUoV9+NHo1E4nU5EIhHYbLak7VGiVqvBsmxKzV0mmlarhdFohNPpTHpC5fV6\nZdv7hFSOYRhotdqET7FdLBqNwuVywWw2Z1RfFb/fD41Gk7SkSq/Xi6vJXC5XQkaaTSYT5s6di4ce\neijux05lGZtcfPzxx/D5fBg6dGhCXycUCsHhcIBlWdjt9oQkMgJhSiaTigyFjodSrtzw+/2UYKQp\nk8kk2aZjsVgMTqdTrOXKFMLy1ERSq9Ww2+3geR4OhyPho52TJk3CN998g++//z6hr5NKMja5+Pe/\n/43Zs2cnbQMdn88Hl8sFnU4Hi8WSkNc1Go0puyQ2EYTaFqmL34LBoDhiRNKHUqkEy7KSFmfzPA+X\nywWNRpMxvVVisRgCgUBCEnaFQgGr1SrekCRrREqr1eLOO+/EokWLkvJ6qSAjz4a7du3Cr7/+iuHD\nhyf1dWOxGNxuN3w+HywWS1x/eVQqleQnwmQym81ifUsq8Hg8GduJL11VtutpMpWWlkKhUGTMCFkg\nEIBarY5bczGhmaDwf3rhXiDJMnnyZGzduhVHjhxJ6utKJSOTi3//+9+YOXNmQqcorkSox+A4Dna7\nPS5DniaTKWOmQywWi1jRnSqE5ahS/UyR+NJoNIhEIpKt9qqIx+MRL5KZwO12x2V6RKfTwWazIRQK\nJayuoipMJhOmT5+Oxx9/XJLXT7aMW4r6448/on///ti1a1fSiiwrYzQaoVKpatxj32g0IhqNZkQR\np8ViQSgUSsnvNROWpmbKUtRU7sCq1+vFpe7prjaNAFUqFUwmU0o1N/zjjz+Ql5eHn376CY0aNZI6\nnITKuJGLxYsX44477kiZxAIoW3FQWloKg8FQ7T77SqUSSqUyJS+28ZbKiQVQNu0VDoczqvguHQkN\nlFIxsQDKLrQcx2XECIaweqQ69UxCkq/T6eB0OlMmsQCAOnXqYMKECXjmmWekDiXhMmrkoqSkBJ07\nd8bOnTsTXo1cU9XNtm02W0L2zkg1qZ5YXCiV73prK91HLuQ0+pQpIxhKpVJsKlaZ2o4CJ8PJkycx\nePBgHDlypFp7WclNRo1cPPHEE7j55ptTNrEAgEgkAofDAZ7nYbfbr9igSavVIhwOU2KRYnw+X8YU\n3qUbKZeeVpfQKC/dRzCi0Sg4jrtivw+tVgu73Y5IJAKn05myiQUAZGdnY8iQIVi2bJnUoSRUxoxc\nnD17Fm3atEFxcbFsdqi7UitxhmFgs9ngcDgkjDDxTCYTotFo0psY1ZbNZoPb7U6pgsB4SOeRC6VS\nCYPBIPnS5uoyGo3geT6lCpzj7XLnO6FldzgcltX3f+TIEYwbNw4lJSVpu8Q4Y0YunnnmGYwdO1Y2\niQXwf63EhWWOJpNJrMeQ0x1WTRmNRnHNu9zQ0lT5SaWlp9Xh9XqhUChSqo4s3nieL9esTpi+EpJB\nOSUWANC8eXN069YNL774otShJExGJBeBQACrVq3CbbfdJnUoNcJxHFwuF0KhEGw2GwwGQ9r3tNDr\n9WAYRnYnDUE0GkUsFkuL1s0Mw4BlWbAsC4ZhxP4DF35MSkVFRcjLy8ONN96I5cuXX/L5I0eOYMSI\nEbjmmmvwwgsvVPjcnj17YsmSJbKdYnS73VCr1WldTCw0qzMajbBYLPD7/bKuN7vzzjvx3HPPyTb+\nymTErjjr1q1Dp06dcPXVV0sdSq2Ew2E4HA7UrVtXvHClY4Kh0WigUqlkNzx9MY/Hk9JTVyzLQqFQ\nQBV1kT8AACAASURBVKlUQqFQiAkDUDaHLdS48DwvPhQKhbgXA1CWeAiPi58Xi8XE+XKO4xCNRuNe\n5MpxHP72t79h3bp1yMrKQn5+PgYNGoQWLVqIX2Oz2fDoo4+isLDwss/Nzc1F9+7d0bdv33LPlZPS\n0lJYrVZwHJe0zfuSSVg1olarU/Z3qjo6duwIg8GArVu3YtCgQVKHE3cZkVwsX74cc+fOlTqMuNBo\nNAgGg/D5fDCZTNDr9ZJu7R5vKpUKer0+Leb1eZ5HMBiETqeTfGpHqVRCpVJBpVKJXQ8vvPiHQiFw\nHFfpXVR1ai6E5EWhUECj0cBgMECn0yEYDCIajSIajSISidSq+G7Pnj3IyclBkyZNAAAjR47Eli1b\nyiUIderUQZ06dbB169YKn9umTRuEw+EKnys3paWl4gqydDknXLgVusPhgNlshkqlkn0CxTAMpk+f\njuXLl1NyIUdff/01fv/9d/Tp00fqUOLCYDCIyxzdbjeUSiXMZrPYsVLO9bkKhQImkyktEguB3++H\n3W5HMBhM6v+NWq2GWq0WO4YKF3Kfz5e0i04sFhO3pRcIywmF/iw6nU7cATMSiSAUClXronHmzJly\nzYgaNmyI7777rsrPzc7OhkqlgtfrrdZzU5WwF4nVaoXL5ZL1kLvQjZRl2XLF0R6PRzbLhStTUFCA\nRx99FL/99huuuuoqqcOJq7SvuVixYgWmTZsWtx71UtLr9QgEAuUuUhdv7S7XOVeGYWCxWFBaWirr\nBKkiXq8XRqMxoa+hUCjE7aNtNhtUKhVCoRCcTiecTic8Hg+CwWDK3M0KHWU9Ho8YYzgchkajgc1m\ng9VqhV6vr7R5Um3qPYT6ETkWcV6JsIeRxWKROpQaE36Wg8HgJS27hYT1Ssv05UKv12PChAlYuXKl\n1KHEXVonFw6HA++99x7Gjx8vdSi1xjAMtFrtZYfXha3dhTlxue1xYbFY0mp650LhcFicHognhUIB\no9EIu90Oo9EIjuPEC7XP55PdsHE4HIbX64XT6RQL9Uwmk1jEXNH7l5WVhVOnTon/PnXqVJXbKjdu\n3BjHjx8Xp2Wq89xUF41G4ff7ZZdgXLwV+uVqytKpl8zkyZPx0ksvpV39XFonFy+//DIGDx6MOnXq\nSB1KrRkMhiqtnPD5fCgtLYVer0/Y1u7xZjQaqz0cLjfxWprKsiwMBgPsdjsMBoNY5FtaWopQKBSH\nSFODUK9SWloqjswZjUbYbDZxJREAdOjQASUlJTh+/DjC4TA2bdpU5fnrvLw8HD58uEbPlQOhjkYO\nfRSquxU6z/MIBAKy+N4q07x5c7Rp0wbvvvuu1KHEVdo20YrFYmjZsiWeffZZXH/99VKHUys1bUks\nhwYzWq0WarU6I3Z0Ff4vapIEaDQasY9BIBCQLJFIhSZaWq0WOp1O7H1QWFiIhx9+GBzHYdKkSZgz\nZw5ee+01AMDUqVNx7tw55Ofnw+PxiMnZV199BZPJhM2bN1/y3HRjtVrh9/tT8s6YYRgYDAYolcoa\njVza7fa0WDlSWFiI1atXY/v27VKHEjdpm1x8/PHHuP/++/HRRx9Jvg6/tkwmE0KhUI1PDlqtFnq9\nHj6fL6XuboXkR+qLVbJUt6sqwzDQ6/XQaDQIhUIIBAKSF+ilQnIhYFkWer0earUagUCgyityMqW7\nrUD4flOtwFOn00Gn09XqvKTVaqFQKFL25qmqotEounfvjsLCQrRv317qcOIi9cfMa2j58uWYPn26\n7BMLlmWhVCprddcRDAbhcDigUqlgs9nE6nypmc1m2feyqI6qDuWyLAuTyST2LHA4HPD5fCl1YUgF\nsVgMXq9XTBKE2pPKfueNRmPad7e9kLCyLFXqL1QqFex2O1iWhcPhqNUNTzAYhEajkf15XqlU4uab\nb8aKFSukDiVu0nLk4tSpU2jXrh2+/vpr2c/JCTukxqsegWVZmM1mxGIxeDweyVZmWCwWBAKBlByq\nTTS73V7hXSTLsjAajWBZNmULMlNp5KIiGo0Ger0e0Wi0woRMWO5clR02041Wq4VSqZQssRKSZp7n\n4fV645Ysp8voxdmzZ9G3b1+cPHlS9tctIE1HLt58800MGzZM9v9BwqhFPC8ysVgMLpcLgUBALI5L\nNp1OB47jMjKxAMqKOy9cmiokfGazGYFAAC6XKyUTCzkQlt+GQiFYLJZLRjLkun9IPASDQbAsK8kS\nTqFlt8/ng9vtjusoXLqMXjRo0ABdunTBpk2bpA4lLtIyuXj99dcxatQoqcOotUQO3168tXuy9sBQ\nKBTQarUZNSx9sUgkAoZhoFQqxZNuvJMKoZmSXLapj7dwOCz2zhCSaLVaLbYiz1Rut1vcmygZhK3Q\nhX48idoK3efzyf5mEgBGjx4tFiPLXdpNi+zfvx8DBgzA7t27Zd04q6YrRGriSlu7x1u6bkVeXTqd\nDiaTCW63O24JAMdxOHnyJH7++Wf88MMPOHfuHPr37x/X5ZWpPi1yOTqdDmazWdwAMJMJSW0ip4Yu\nbNmdrBuJdFg54vP50LlzZxw+fFhWO3hXJDUq++Jo7dq1GDt2rKwTCwDi6o5kELZ2F+ajOY6D1+uN\nez2G0WhMqS6RUrhwebDf76/18WKxGE6cOIF9+/bh+++/h9/vRyAQgFKpBM/z2L9/f1r1bqgphmHE\nnUN1Ol3aNmyrCqEVfCL2vBHqhhiGSfqOpUKxdDx+r6RiMBgwePBgrFu3DrNnz5Y6nFpJq+QiFoth\n7dq1eOmll6QOpVaEtsTJnjoQtnZXq9XizpfxOvmoVP+fvTcPkqM+7//f3dM99y1Wuytpda6uXRnE\nYZDB5jSCcgI4GB8QiCs2KVclVUmqnEp8VFLxP/FRX9uFUyZxChdxyWCDweZwwGBuIXHpQEa3tFqt\nVlpduzOzc3f3dPfvj/09zexqjp6Znun+DPuq4g92R7Ofmenpz/vzPO/neURbzWROIBgMQhCEWZEb\nmjvSKKlUCnv27ME777yD6elpFItFCIIwK6eu6zqmpqYsa+DFKtTdlk61NI9HkiSmN6JWyOVyiMVi\nkGXZMpEVCATg8XiQyWRs8QwVCgXE43HmP9M77rgDP/nJT5gXF13ludi+fTsCgQCGhobsXkpL2K2+\nqesjx3GIx+OWtBIPhUIfqbLTcqj0rlQqXTAnIZ/Pm25jrGkaRkZGsGXLFvzwhz/Es88+i8nJSWia\nBrfbfUEeneM4KIqCEydOWPp6WGOuiZPy/8BMmof1KGezpNNphMPhlp/H4/EgHo9D0zQkEglbzcjF\nYpHZ+UrEpz71KYyOjuLo0aN2L6UlukpcbNmyBZ/73OeYdw3TWHW7yefzSCaT8Pl8LbUSDwaDyOfz\nXTeQzAzBYBCBQKCqubJYLFYUBuWUSiW8//77eOCBB/Dzn/8cu3fvhqIos8anV0OWZRw6dKjl18Eq\nFM2ptOHl83lMT08jHA53hRmwUVRVhSRJTb92atntdrtNtezuBN3QElwQBNx555145JFH7F5KS3SN\noVOWZSxatAjPP/88lixZYvdymsbn84HjOMeF9po1aHXCPOZEXC4XwuEwisVi3ZuuIAgIBAIXRHYU\nRcH777+Pl19+2Yh4uFyuhsSzqqqIxWL4xje+YYnoZs3QGYvFTOX+A4EARFG0vEySBcy+R0QnDeDN\nEAwGIcsy06Xu77//Pv7+7/8ehw8fZvaw3DWei+effx7r169nWlgAM+LCiTdvCiVTCDSfz5uKrpBD\n/6OEx+MxxIKZG2+pVIKu6xBFEYqiGJGKl156yfAJuFyupjqrUnOhqakpXHTRRQ3/e5bxeDxQFMXU\nppnL5SAIAqLRqG2eAbug7p1m7jvUsjubzTp2887n8wiHw45dnxkuueQSAMB7772HK6+80ubVNEfX\niIstW7bgzjvvtHsZLUGbi5ODSZIkQZIkBAIBxGIxZDKZqrXrfr/fEfMwOkkoFALHcQ2XxGWzWUQi\nEbz99tv4/e9/j3PnzkHXdUv8AJIkYWxs7CMnLgKBQEOfAwnoSCQCRVGY7/hoFlVVoSgKvF5v1QOD\n2+02qr2cXu5J9xuXy+W4qIpZOI7D5z//eWzZsoVZcdEVaZFCoYDe3l689dZbiMfjdi+naSKRCLLZ\nLDNfCGrnC8x0nSwXEZ3s0+EEOI5DNBo1lQapxLlz5/D888/j8OHDkCTJEhMtIcsyNm7ciPvuu6/l\n52IlLRIIBKCqatPeJb/fD1EUP1Im5Hg8jmQyOetwQ+Xpdo8LaBRRFOH1epnuxnr06FHcfffdGB8f\nZzI10hWRi1deeQWXXHIJ08KC53lwHMeMsABmTgjT09MQRRGRSGTWaPePUptll8uFSCTSVDhdkiS8\n/vrr2Lp1q1E54na7Lb2JC4KAY8eOoVQqOWZoXTvhed4wGTZLPp+H2+2uOgemG8nlcggGg8hkMsYo\ndFEUa0YnnYqiKMyXX69atQo+nw+7d+/GZZddZvdyGqYrqkWefvpp3HzzzXYvoyXsLj9tBUVRkEwm\noaoq4vE4AoEAdF1n7obUDG63G5FIpKnW3aOjo/jJT36CP/7xj5Bl2WhPbXVpJM/zkGUZZ86csfR5\nnYpVwlaWZUxPTyMajX4kRJkkSXC5XPD7/YjFYsb3mtXvcaFQgM/ns3sZTcNxHG699VZmZ40wLy40\nTcP//d//4aabbrJ7KS3hdruZNiABM2WVyWQSfr+/aQMiS3i9Xvj9fiSTyYZOtpIk4dlnn8VDDz2E\ns2fPGuWSwMz1zHGc5WHQYrGI0dFRS5/TiVA6yaoNUVVVJJNJhEKhjs3fsQtRFMHzPPx+f8uj0J0A\n6+ICAG666aZ5cWEXu3btQigUwsqVK+1eStN4PB7mv8iE1+s1Jh8Gg0GEw2Em84X18Pv98Hg8SKVS\nDaUwTp06hZ/+9Kd44403oKpqRW9FO9IXHMdh3759lj6nE6GwvpXoum6IZtYbNFWC/FF+v9+YvdIt\nQor1VODll1+OEydO4OTJk3YvpWGYFxfPPPMMbrnlFruX0RLt6PFvFz6fD/l83mglXiwWbRvt3i4C\ngQBcLldDZj9N0/DWW2/hZz/7GU6dOgVBEKqKLl3Xoeu6pZMrBUHAxMSEI5qztQuv1wtZltvmj0il\nUvB4PMyfhssJBALGKHTqdZHNZhEMBu1emiXk83mm7z2CIODmm2/Gs88+a/dSGoZ5cfH000/jxhtv\ntHsZTUMbTDcYxgKBwAW+EWol3unR7u2ChjI1cjouFAr49a9/jaeeesr0qVBVVUtPXBzHoVQqYXx8\n3LLndBIcx3Vk2B8ZmFnesIAPW3ZT2qc8jaTrOorFYleIKNYjFwDw6U9/Gk8//bTdy2gYpsXF2NgY\nJiYmcPnll9u9lKbx+XxdcZqkYWvVXkuhUDCacEWjUSbnOdBprpEOpZOTk/jv//5v7Nq1CxzHmY5G\n6LpuubmzWCwyP6+gGoFAoGN9KdLpNARBYFJgCIKAWCwGURSRSCSqfl/z+XxXiAuA/Xkjn/rUp7Bt\n2zbmqu+YFhfPPPMMNm/ezORGRdRqXMMSwWCw7s2dRrvTlE5qOMUCNFysEWExMjKCBx98ECdPnoQo\nig2/1mbafddCEAQcOHDAkudyEi6XC6IodtS3RAKDlQ2Y4ziEw2Gjc6yZ65j1lALBurEzFArhqquu\nwosvvmj3UhqCeXHBcgmqIAjMlnmVw/M8BEEwXe1CfgxZlhGLxRz/xff7/eB5viFhsXPnTjz88MPI\nZDItpYJKpZJl4pnneSSTya5rDGVXT5V0Og232+34UzGVlhYKhYZmiLB+4ifa4WHqNJs3b2YuNcLs\nu53JZPDOO+/gk5/8pN1LaZpuMXI2G5KWJMny0e5W4/V6jUZCZtA0Da+88gqeeOIJyLLccr7XytJU\njuMgy3JXjWB3u93QNM02kT49PQ2v1+tILxE1AdN1velR6NTYjXUKhQLTQunGG2/E888/z1STRWbF\nxdatW7Fx40amL3yaJcIyjUYtKpHP55FKpVoe7W411ELY7Elf0zQ899xzeOGFF6BpmmURBytNaYqi\n4ODBg5Y8lxNoR+lpo6RSKQSDQccYB2kUusfjaXkUerFYhMfjYSZ9WQ1JkuDxeOxeRtMsXrwY8Xgc\nH3zwgd1LMY0z7uJN8Oqrr+Lqq6+2exlN0w3CArDOSKdpGtLpNHK5HCKRiO2lcDRTwaywUFUVTz31\nFLZu3dqQcdMMVoZ1RVHE4cOHu6I6iczQ7Zx3MTY2ZmpzTqVSCIfDtgpjjuMMLxN5m6x4b7rF3Gml\n4LeDa665Bq+88ordyzANs+Litddew6ZNm+xeRtN0Q0qE47iWoxZzocmUpVIJ8XjcllAmx3FGS2+z\nN+etW7fijTfeaEt3TcC60lSe51EoFHD+/HkLVmUfHMcZPVXaxZ49e/Dggw/i4YcfrvtdJXEcjUbb\ntp5a+Hw+xGIxSJKEVCplafi8W7wXrKdGPvGJT+C1116zexmmYVJcTE9P4+DBg9i4caPdS2mabjBz\ntnMeCo12ptK5ToacaQhZI6f7oaEhLFy4sG2fKZWmWvE+FItFjI2NWbAq+wgGgw0ZbBtlz549ePzx\nx6HrOkZHR7Fly5a61SilUsmIvHUKURQRj8fBcRwSiUTbRgh0Q98LWZaZTo1ceeWVePPNN5nxXTAp\nLt58801cfvnlzF4o3TBHBOhM2/JsNovp6WkEAoGOhJ2DwSAkSWo4ZbVw4ULcf//9iMfjbUt3qapq\nSWRE13WmW4G7XC64XK62fYdIWCiKYvytI0eO4Ne//nVd8ShJEkqlUttLOHmeRzQahc/nQzKZbPvQ\nw25JjVhZfdVpFi5ciN7eXuzZs8fupZiCSXHBut/C4/Ew39uik2kdGu1eKBQQjUbbZuL1eDxG2qAZ\nOiUwWr05iqKIsbExZiNn7Sw9nSssgJkUjMvlwr59+/D000/XjWjlcjm43e62VT8Fg0FEIhFks1mk\n0+m2ek7Kocm9LCNJEtOpkauvvhqvvvqq3cswhTPszQ3y6quv4l//9V/tXkbTNFLa6FR8Ph8SiURH\n/6aiKEgkEvD5fIjH48jlcpZFTnieRyAQaPk1kcB46KGHkEgkLN9gyJTGcVzTmwrHcVAUBRMTE1i6\ndOkFv6f2z5lMBrlcDoVCwYjmeDweZLNZw2/jdruNeRsUXWpnRNHj8UBV1baEhisJC4JMuu+++y5i\nsVjdkQPT09OIxWJIJpOWbf40hTeXy7U1JVSNfD6PcDjMdNRVkqSOtIlvF5s2bcIzzzyDr3/963Yv\npS6c3inZaxGpVAoDAwP44IMPmEyLUNvgdDpt91Kahko07RRIHMchEAhAEARkMpmWN5tYLIZ0Om3Z\npnXu3Lm2CQza2FuJjsiyjNtuuw3XXnstzp8/j7NnzxrTFycnJw3RpmkaVFVFqVQyem7Qe8TzvJE2\ncLlcRsrK6/Wip6cHAwMDWLJkCfr7+xGPxy1JacXjcUs3bOL999/Hb37zm4rCohxN08DzPO655x58\n7GMfq/mcoigiEAgglUq1tDZBEBAKhSDLsu2bIkVMWMn7VyIajWJ6erpjER8rmZycxLXXXovJyUnH\np3eYExfPPvssfvSjH+HRRx+1eylNEQgEoCgK0+rfSTcYKhlVVRXZbLapG0YgEICu65bnrdspMARB\nMEyezaAoilG6qCiK4RUgwVDN21GvhJrKZim64Ha7jejG2rVrcddddzXtGfH7/dB13fJ0XK2IRSVU\nVYXP58PXvvY1LFq0qOZjg8EgSqVSU2lQnucRCoUAoGGDcbtwwsGiVcg7wmq13k033YQtW7Y4fqYW\nc54L1v0WrJs5eZ6fdXq1G2olLklSU6PdBUGAKIptMcS104PRqjHN5XJhamoK6XTaeC6PxwNRFI3P\nuBkofUCbEM/zKJVKSKVSOHr0aNPPy/M8vF6v7cICmHnvcrkcfvnLX9ZNT2SzWaN9fCPQKPR8Pt9Q\ny+52oyiKIzvpNgI1BmOVa665hgnfBXPi4vXXX2e2vwXP80yG4spxan8OGu0OoKHR7uFwuK0pqnYK\njFZKU63orNoImqbhkksuafrft6MTZzPCghBFEefOncOTTz5Zd+Ofnp5GOBw29bxzR6E7sdEe6/0i\ndF1nuuPopk2bmOh3wZS4KBaL2L9/P4aHh+1eSlO43e6OTm5sB50oP22FfD6PZDIJr9dbd7R7IBBA\noVBo+6mwXQKj1dJUiip0Aq/Xi8HBwQt+/uqrr+JTn/oUrrnmGvz0pz+t+G//7d/+DZdccgmuu+66\nWe2Pr7zyStx0003YvHkzPvOZzzS0nlaEBSEIAvbt24dt27bVfJyqqlAUpWYpZ/ko9GQy6ehqsm7o\neaEoCrOVL5dccgl27Njh+IMqU+Ligw8+wODgILMXttM35nqw0rJc13Wk02lks1mEw2EEg8ELNmCX\nywW3292xKEy7BEYrc0d8Ph8URWm7uNJ1HYIgYGBgYNbPVVXFt7/9bTz66KN47bXX8NRTT+HIkSOz\nHvPyyy9jfHwc27Ztww9+8AN885vfNH7HcRyeeOIJvPjii3juuedMr8cKYUF/n+M4vPjiizh58mTN\nx+ZyOfh8vguuQxqFHgwGjWvW6ZuGruvMt9KWJIlZcbFo0SJomoaJiQm7l1ITpsTFzp07me7K6XK5\nHJM7bYZ2duRsB9RKXFEUxGKxWaHcUCjU8YqddgiMVuaOeDwe6Lre9uhFqVRCX1/fBYeC3bt3Y/ny\n5RgYGIAoirjjjjvwwgsvzHrMyy+/jC996UvQNA2XXXYZpqenZ7Uub3QjtkpYENQX5bHHHqt7cMhk\nMoZBE/hwFHqxWLS8ZXe7KRQKzB7yALa9IxzHYePGjdi5c6fdS6kJU+Jix44d2LBhg93LaAqXy8Vs\n0yKC53mmboAEjXZ3uVyIxWIIBAIolUq2vJZ2CIxmvRdkvmzUd9FoKkbTtIqpzDNnzsyqtujv78fp\n06dnPebcuXOIx+PG/y9atAhnzpwx1vGlL30Jt956Kx555JG667BaWBCiKOLMmTN46aWXaj6OKnT8\nfv+sUegsGry7oaEWy96Liy++eF5cWMnOnTuZFResp0RYXz8wE5qmVuLlfRk6jdUCg0o/m9kw5864\noW6UVEXj9XohiqLxH8/z8Hg8xu/pMfQ4QRCMUlbC7/dj5cqVF/ztejf2QCAAVVWrRieeeuopvPji\ni3jkkUfwv//7v3jnnXeqPle7hAXhcrmwfft2nDhxouZjqD9Lq6PQnQDLp3+A7VkjGzZswI4dO+xe\nRk2YERfFYhEHDx7E+vXr7V5KU7BegkrjrVnH5/MZnScjkUjbWonXw2qBQeKi0ZMY9V1xuVwQRdHY\neMmEWCwWoSiK8Z+maRf8rFgsolgszooGlT+fx+O5wG8BAH19fbPyxhMTE0Ykg+d5uN1uLFy48ILH\n9PX1Gf8eABYsWIBbb70Vu3fvrvga2y0sgBmhJEkSnnzyyQs+z7mj0PP5PLObWjmsV42w7LvYsGED\ndu7c6Wh/DjPignUzZyvtmu2GwuAs+0WAmdfh8XhQKBQMP4aqqraNdrdaYJjtfUFlqG63G16vFxzH\nIZfLQVEUQyA0c62WN9AqlUpQFAWFQgHLly9HKBRCPB5HKBQyUjiXXHIJRkdHMT4+DlmW8cwzz2Dz\n5s0APpwfsnnzZjzxxBMAZiKXkUgEPT09KBQKRo+JfD6PN954o+LBoxPCghBFEadPn8b27duNn9Eo\ndFmWDV9FLpdr+2CzTlAqlZiOXFgxp8cuFi1aBFVVHW3qZGa2yM6dO1uqk7cTl8vFpFeB6IaUCFB5\nTDeduoPBIGKxGDKZTEe9MVbOIqk1d4T8FWQqJgFAv5NluS0CS5IknDp1Cq+//joGBwcRj8fh8/kg\niiIKhQL+4z/+A/fccw9UVcXdd9+N1atX49FHH4Uoivj85z+Pm266Ca+88gquvvpq+P1+/PjHPwYw\n48W4//77AcxscnfeeSeuu+66WX+7k8KC4DgOr7zyCi677DIsW7YMxWKx4ryaQqHAnEG6EuS9YDUq\nS74L1g5+5abOxYsX272cijDT/vv+++/HmjVrcN9999m9lIbx+XzGMCgWiUajSKfTTEcueJ5HJBJB\nMpms+ZhQKARd15HJZDp6w7GqVfjcuSPkoaDIUyWRm81mjYqaejRajjw1NQW32w2/3w+Px4OlS5di\n06ZNWLNmDSKRCPx+vzEzg97veDyOVCrV0vVmh7AAZt7vUqmETZs24a677qr5GuLxeMeH/1mNIAhG\nqpFF/H4/VFVl8vD0wx/+EIFAAN/5znfsXkpFmEmL7Ny5k+nmWawqewBdkRIJBAJ1hz6Vj3ZvppV4\nK1iVIikvTRUEAYIgQNM0KIpSNXrm9/vb0u+C/mYwGITL5YKiKDh06BAeeeQRfP/738czzzyD0dFR\nKIqCaDSKYDAIn88HSZKYFBb0frtcLuzcuRPHjx+v+fh8Pm+b58cqWE+NsGxKdbqpkwlxIUkS02ZO\nnueZ3ZxZF0bAh6d5s6+DRrvrut5QK/FWsVJgiKJoiIp61x7P8+B53vLTmyRJs0ymHMdBFEXD4/HC\nCy/ghz/8IR5//HGMjo6iVCohHA63lEK0Q1hQQzZd143PrVgs4rnnnqv53rM+44JopZGb3bAuLnbt\n2mX3MqrChLgYGRnBkiVLmDRzsj5PxOv1MhkyLCcQCDSV2y4UCkgmk/B4PHVbiVtFKwKDNm9g5obf\nSOUI+S6spJbBlKpBJEnC1q1b8eMf/xgvvPACTp8+bfQjabRUuNPColwsybI8SxSJooixsTEcPXq0\n5nOw3owK6B6RxBqLFi1CNptFKpWyeykVYUJcHD58uOJcAhYQRZHpk//cPggs0spMF/JfUHfFUCjU\n9sY7zQgM6k1B1R6Nlqb6fD5LP2eKmtRLLdEEVUmS8Ic//AHf//738d577yGdTiMajZreeDspLEhU\n0Ptd6X3jOA6KouAPf/hDzehFN4gL1htqsRp54TgOg4ODOHz4sN1LqQgz4qJSEx4WYGUeRyW6FbKN\n6wAAIABJREFUoauoVVNc5452b/eGYFZglEcrFEWZFSVrZCy7z+ebVUHSKrRms5uO2+0Gx3FIJBLY\nsmULfvnLX+LEiRNwuVyIRCI1/20nhQU1D6M+ILWikoIg4PTp03WjF5IkMX/yZ7nbJcupkXlx0SKH\nDh1iVlywfPLvBr+F1SPiabQ7x3GIx+NtvSnVExgkLChSMRdN00y36qaqEqsqmiRJMp3WoNQhDTjT\ndR07d+7Ef/7nf2Lv3r0oFouIx+MVhUOnhAWlcXRdhyzLpjxUFL344x//WFOEUFkqy7AcvWBZXKxc\nuXJeXLTCoUOHsGLFCruX0RQs1lATrPe3aGfUiEa7+3y+tvoxqgkMSifUM2w2EvK1cgS7qqqmb9iC\nIMwSRySapqam8NBDD+GVV15BMplEJBKZ9Vref//9jnTepLbntSpuqiEIAk6dOoWxsbGqj9E0jfkp\noyy30ma5mdaKFStw8OBBu5dRESbExZEjR7B8+XK7l9EwLAsLgP31t7tJkZnR7lYwV2C4XC6jtLPe\n59PI1FS/349SqdRyZRP5LcyUWVKDuUqvg8TTs88+iyeffBLnz59HOByG2+3Gnj178Jvf/KZtwoIq\njMp9Fc18FziOQ7FYxNatW2s+Lp/POzJ6MT09jQ8++ACPP/44vvOd7+DQoUMVH8eqb4F1li9f7tjI\nheOvhlQqhVwuZ8wRYAmW/RYsp3OADztSdqIzKrUS93g8iMViyOfzljdMI4Hx8MMPI5lMNiRiKIpQ\nL8VFYf9SqdRSiJtSIvU2fUrF1FoXpUzefvttpNNp3HPPPRgfH2+rsCDxZoXQAmbe18OHD2NqagoL\nFiyo+BhFUWaNY7eLQqGAkydP4ujRo9i/fz9SqRRkWTYiZPv27cPatWsr/ltVVZktuydxxNo9b8WK\nFTh69KgjPS+OFxdHjhzBqlWrHPfGmYFlccG638Lr9XZ86qQkSZAkCYFAALFYzOh8aRUDAwP4h3/4\nB/zoRz9qqJMnzfuod/MkQdbqQCcaLV4Ps4ZhWte+ffvw//7f/0M2mzXSFVZuZNR4TFVVS699juNQ\nKBSwa9cu3HzzzVUfR8bOTqYiS6USTp8+jdHRUezfvx8TExMolUooFosQBMHogeLxeKCqKo4cOVJ1\nIyPvAoupVFbFRTgcRiAQwMTEhOPagDteXBw6dAirV6+2exlNIQgCs2OVRVFktl05MCMu7Kr/zuVy\nKBQKxkk0k8m0vAm63W6je2Uzs0goelEv1TXX/9AMpVKp7pySRofhUXrh6NGjRmMzMn+2mrqjFAg1\nwWpHKtDlcuGdd97BDTfcUDV9UCgUEA6H27o5a5qGqakpjI2NYf/+/RgdHYUsyygUCoa4ogF/c+F5\n3uirUKlVvCzLxjXKGqVSiVnPyJo1a3Do0KF5cdEoLJehshoiBNhfuxWbTitQK3FRFBGJRIz5Gc3g\ncrkQDAaNuSjNDjuj6EWtaEogEEAikYCmaQ03sQJg+BOi0WjNxzV6Ssxms8jn84hGoxBF0UjfUHSw\nWT8E9QJp1lNhFp7nkcvlcOTIkaqdhsure6xcSyaTwYkTJ3Do0CEcOnTISNtpmmZEJ8xsrNQsbGJi\noqK4YNl3USqVmG3FvmrVKhw+fBg33nij3UuZheOvhEOHDuGGG26wexkfKVgWFoA9KZFqKIqCZDIJ\nr9eLeDyOXC7X0MmO4zhEIhGkUqlZG04zAoMqEmp9vnRylSSpqV4e1PK7ljBpVPyRsIhEIrM2QYo0\n1BNMlbDaV2EGWZbx7rvv1hxjQKmRVqKGkiTh5MmTGBkZwf79+zE1NQVFUSDLsjH7pFkRIMsyRkdH\nmZ3zVA0nehbMsnLlSkdWjDheXJw4cQKLFi2yexkNw/IGzbJXBJgpoa01/dQOisWi4cfw+/2mR7tH\nIpGqaZVmBAadLmtdm1R22Yy4MNN2vBExUE1YEGb9JASF/jVN67inSBRFjIyMIJvNIhgMVnxMsVhE\nOBxuSFyoqoozZ85gbGwMe/fuxcmTJw3fBImoaqmORhEEASMjI1V/T2KPNe8CyyxevBh79uyxexkX\n4HhxMTExgZ6eHruX0TAsf8FYNWUBzi6f1XUd2WwWLpcLoVAImqbVHO3u8/mgKErNjbhRgUERAyoB\nrYTH42lq49U0rW54mTwdZj6jesKi/O+S8bCaaOqEr6Ie5Bs5cuQILr300oqPodRILXRdRyKRwNjY\nGA4cOICRkRHDN0Gv0yoxMReXy4XJycmqXUUpVcXivY/6XXSiwsxKenp6MDExYfcyLsDR4kLXdZw9\nexa9vb12L6VhWG6dLQhC0/4Au2Fh0Bq1EhdFEbFYDMVi8YJ+HC6XC16v11QEplGBQaWmtUaw5/P5\nhpsL0VyTapsaVX2YES5mhUX533a73RWFA2227fZVmEHTNOzatauquAA+7HZZ/j5ls1mMj4/j8OHD\nOHjwIDKZjDEsjXwTneiQSeL9/PnzWLJkyQW/p/4mTklLNgJF9VgTFwsXLsTp06ftXsYFOFpcUK6a\nxcE+LFeKOPn0Xw+Px4N0Om33MkxBo919Ph/i8Tiy2ayxoYTD4YZeRzMCo1p0rXwEeyONnWRZrjks\nzazgblRYEPSaKNJDKQErZ6a0iiAIGBsbq9k0i/qEjI6O4tixY9i3bx/Onz8/yzdBfUTs6CxZLBZx\n7ty5iuKC5W6XrK594cKFOHPmjON8I44WFxMTE+jv77d7GU3BYngNYFtYAGx6XQqFAorFIoLBIPx+\nP2RZvmCEtxkaERhk7qz2eTfTCrzWoDSzpafNCgvgw/QIGUppDoiToIqL48ePY2hoyPi5pmk4e/Ys\njh8/bvSbKBaLKBQKlvsmWkXTNIyNjeGyyy6zeymW0mrzOLvw+Xzw+XxIJpOIx+N2L8fA0eLi9OnT\nTKZEAHY3aZa9Is1UDTgFGu0uCALi8biRP2/0GmpEYMw96Zfj8/kaap1OLb+rlaCaua5aERYAjFOb\nIAiQZdmx3z9ZlrF371709/djfHwc+/fvx9GjR1EsFg0jp8/ng67rjhATc3G5XDh58mTV37PqXWA1\ncgEAfX19mJiYmBcXZmFZXLAKy+KC9a6iwIxnZHp6GrquIxaLoVAoNJxeMyswyueOzI0oeL1eo6LF\nTNkiCZRKf8vlctUtPW1VWJSXltJrctrmViqVIEkSFEXBq6++ig8++ACSJM3yTdD759TXAHxo6qzW\nC4VV7wIAR6UVGqG3txenT5/Ghg0b7F6KgaMHl01MTDA5U4Rl5sWFfVBLa0mSWh7tXm9cO0EbW6W1\nNDKCvdaI9Xpei1aERbmRkUahO+UEqmkaCoUCpqenkUgkkEgkjOZVXq/XmI3idrsveO/MVI3YBaW3\nqnXAZbmZFqv09fU5ztTpeHGxcOFCu5fRMCyGBAmWxQXl2VklEAhcUKVTPto9Eok01DWTBIYgCFXN\nodQnotJm3MjJWVXVivnqeifYZoVFvVHodggMTdMgSRIymQySySQmJyeRy+WM1tIXXXQRFixYgHg8\nDq/XW1M8OM2cNxdVVatWMrEsLpz+vlejt7fXceWojr4CJiYmcPHFF9u9jIZhWVywilNDyI3gdruR\nzWYv+DmNdhcEAZFIBIqiVHxcJU6cOAFZliFJEtLpNMLh8AWPIWGgadoscRYIBDA9PV23FTj5LeY+\nN5k4q4nVZoSF2Zbd9JrafU0oimKkNihqRumNcDjsiAhKO5Bluaq4aLZ1vBOgya6s3UvmxUWDnD59\nmskGWixWLLAO611FfT5fXW9F+Wj3eDxed7T7yMgInnrqKWOjy2QyVQUGVXqUCwGKRCiKUnPzrzZi\nvVYUrBlh0WjLbtrkrPwukm+iVCoZY8ip62ckErG02qCaH8YJUHVLt0GfJ2viYuHChdi1a5fdy5iF\no8XF+fPnHeV+NQuLFyfAtihiuasoMCMuEomEqcfOHe1eqZV4MpnEo48+CkmSIAiCsYFXExjVSlOp\n30UtAVBpxHqt+SGNCotmR6GTn6SVa5pSHYqiGEPZqA9IIBCom95oBSf7Lniex7lz5+xehuXQ94C1\ng8qCBQsc93k4WlzU6sHvZMx2IXQaLKdzBEEwnSpwGs36XKqNdtc0DU888QRSqdSsk3Q9gVGpNFUU\nxbrXRKlUuqDRXbUS10aERastu+nxjZT0Ugvz8lQHz/PgOA5erxfRaLRjIX+KXDgRnudrimFKL7B2\nWCFxwRp+v99x9z9Hi4tMJsPkGFwWv1QA2+LCqSc8M5hJiVSjfLR7NBqFJEl47bXXcPTo0YoVJrUE\nRqXS1EAggKmpqZplh3PFBV1Hczd0s8LCylHoZsLcNOSrkm8iHo/bZk50srmQ53mk0+mq1wUZalm7\nD2qa1nBllhOgYYhOwrHiQtM05PN5JsUFi18qoLmujPO0jiiKLd8YqJV4qVTCSy+9ZJgpK1FLYKiq\nClEUjU2Wul1WG8FOI9bpb5EwmBu5MyssrB6FTq+nXFxomoZisWikOmgj5Hnect9Et0LlqMVisWIb\nc1bTC6yaUYPB4Hzkwiz5fB4+n4/JD5pVKm0KLMDykDir1/7SSy9hamoKPp+v5sm/msAoL02lDZnj\nuKoj2Cn8Xev1mBEWZAhtR8vucjFBgoJ8E9Q62akRAsDZ3X6z2WxNccEac69nVpgXFw2QyWSY9Fuw\nDKvpHFa7AQIzm7xVRtRsNou33nrL2ODLPQuV0hTVBMbc0tRqk2Y1TYMsy8b3tNL8kHrCgtYIwLKp\npXN9E2Q4pdkcnfRNtIpTRQXwYXS5EhQxYhEnC81q0CRjJ0Ve5sXFPAasiguWvSJutxvT09OzfpbP\n5/H2229jYGAAS5YsMT0VePfu3cjlcrNaSCuKYvgHVFW94H2qJjDKS1N9Pp/RDKp8wyAxQM8x15ha\nT1hYOQp9rgmTvCOCICAWi8Hr9TIZ3SLfhRNFhqqqVcWFkza5jwIUhcvlcobB224cKy5YrRSZp/Ow\nms4BKoe8R0ZG8PTTTyMQCEAQBPT392NoaAgrV65Ef39/RYOhpmnYvn17xRs6RRio1fRcP0MlgVFe\nmkopi7m+C+pvQY8pLz2tJSzKS0ub3fDLS0SpQyf5JoLBIDwez6wTKIunUcDZps5SqVTViMxqWoRl\nQqEQstnsvLiox3zkYh6zdFtfkWPHjs3yH4yMjODIkSPw+/0QRRHLly/H8PAwli1bhgULFoDneZw8\neRLpdLrmDV1VVeOmXz7kC6gsMMpLUyt12iyfS1JeelpNWJSnaRoVgySQaBQ9RWQ4jmPCN9EsTi5H\nrSUu5uk8gUAAmUwG/f39di8FwLy4aAtODGF2M6zOFKnWVXR0dNQQCTRDA4Cxqf7pT3/C3r174fF4\n4Pf7sXbtWmSzWVOl27quV/VjVBIYtLlRyJUoH7FeXnpaSVg0U1pKvglZlo1umMCHg8oaba3t5G6X\n9XCqaOI4znHljx9lgsGgoz6PeXFhMaxudPN0nkqNpkqlEhKJRNWNs3wKqKqqSKVS2LZtG0qlEvL5\nPPL5vOGxCAQCVZ+nmh+jksBwu93GCHZZlsFxnBF5cLvdRlqqkrBopLS0Umtt+vfRaLQlg6CT0wu1\ncPK9hOO4+ciFgwiFQvPiwgzVSpxYwMk3hHmcQ6WR5qlUqqGNkDZfj8cDn883a5DW1NTUrO6SlUq7\nKd0gCILhx5grMGKxmDGBtFAowO/3G8KEhMNcYWGmZXel1toU4ajkm2gFJ6cXWGVeXDiLQCDgqHJU\nx4qLuc50VmDxdAQ4u5a+W6lU5TI9Pd20f4TneXg8HkMclG/ekiQhl8sZm7ff75+1eVOqhMQK/ZzG\nhy9YsGBWNQgNM+M4Dul02hAWXq+3astuSqVIkmSImk611mY1cuFkyiNY3QSr90GnVc3V/CaPj4/j\nhhtuwPDwMDZs2ICf/OQnAIAvfvGLuPTSS3HppZdixYoVuPTSS41/893vfherV6/GunXr8OKLLza9\nMJZLmVi9OFlddzdBJZ9WQF6JcDiMeDyOeDwOr9cLl8uFbDaLyclJTE1NIZVKGUKAIgiCICAQCCAU\nCkGWZSQSCUQiEcMDUSqVEIlEkEwmkc/nEY1GjeoW+j0JjGw2i1QqhampKaTTaSPqsWDBAlx00UVY\nsGABAoFAW7/v89d2e2CtA6dZWBSiVnqKHnjgAXzsYx/Dhg0b8MADDwAAEokEbr75ZqxZswabN29G\nKpWq+Rw1IxeiKOLHP/4xNm7ciGw2i8svvxw333wzHnvsMeMx//RP/4RoNAoA2L9/Px577DHs378f\np06dwqc//WkcPny4qZsGq+KCxYsSYHfd3UYul4OiKG0p4xMEwajumGuYpBsFeTr8fj/cbjdCoRB4\nnsf09LTxfaQISCaTQT6fRywWQyAQMLwS5XM6yn0T8621u4tKFUTdAKtC1Kqqub179+Khhx7Ce++9\nB1EUceutt+LP//zP8bOf/Qw333wz/vmf/xnf//738b3vfQ/f+973qj5PTXHR19eHvr4+ADNO1PXr\n12NiYgLr168HMPMhPP7443j11VcBAE8//TTuvvtuo1xucHAQ7777LjZt2tTwC2RVXADsXpzz67af\nak2JrIZEBG325aWepVJpll8jEAggEokYKRs6HeVyOcTjcWiahsnJyVklop0YST6P/TgpDG8lLKaJ\nrZppdfDgQVx11VXwer0AgOuuuw5PPvkknnnmGbz++usAgC9/+cu4/vrrmxcX5Rw/fhy7d+/GVVdd\nZfxs69at6O3txapVqwAAExMTs4TEkiVLcOrUqcZe2f8POdedUrPbKE5pZNIoLA6KA2C6i6XTmHt9\nezweozqj05QbqKm1c7FYNOZyUGtv8i94PB6kUqlZYqJWhYoTcPLaauHEdSuKAq/XW/Mezer9m8Vi\nAkEQLBEXGzZswLe//W0kEgl4vV4899xzuOKKK3D27Fn09vYCAHp7e3H27Nna6zHzx7LZLO666y48\n8MADs8pDf/WrX+Gee+6p+W+bPbVQvvb06dNN/Xu7EEURHo/HUa5dM7hcLgQCAaTTabuX0hAcxyES\nidTN/zmRWCyGZDI562fT09NGasFuBEFAMBg0fBPUVhv4MK1CDawo3UIdM51Itb4iTsep66YmWtXu\n0dFolMnvZTgcRjabZa4niq7rlqx53bp1+Jd/+Rds3rwZgUAAGzduvEDc1pq6TNQVF4qi4HOf+xzu\nvfdefPaznzV+XiqV8Lvf/Q67du0yfrZ48WKMj48b/3/y5EksXrzY9IsqZ75fxDwfRagzp53QzAjy\nTAAz/SyoCkTXdaOiRJZlFAoFCIJgtBenUtR5up9uTHmx+pqsbLn+la98BV/5ylcAAN/+9rexZMkS\n9Pb24syZM+jr68Pp06excOHCms9R8w6g6zq++tWvYmhoCP/4j/8463cvvfQS1q9fj0WLFhk/u/32\n2/HrX/8asixjdHQUR44cwZVXXtnUi2O1m57dG0OzsFqqx+r7XQ070iG6riOXy2FqasqoICmVSkYn\nzL6+PiMHTSKCysQDgQD6+/uNwWC5XA6Tk5NIpVLIZDJG2ek83UmtewaL9xOWsdKneO7cOQDAiRMn\n8Nvf/hb33HMPbr/9dvziF78AAPziF7+YFWyoRM3IxbZt2/DLX/4SF198sVFu+t3vfhe33norHnvs\nMdx9992zHj80NIQvfOELGBoagiAIePDBB5u+wFgVF8D8l6rTdNP77ff72/56dF2HJEkoFArQNM2Y\nESKKopHWc7lcRqrj/PnzKJVKWLBgASYnJw0hEY1GkUwmoWkaIpEIwuGwMYyMIh+U3qFOnh6Ph8n+\nNfNUxoleECtg8dBipbi46667MDU1BVEU8eCDDyISieAb3/gGvvCFL+DnP/85li9fjscff7zmc9QU\nF5/85CerbvAPP/xwxZ9/61vfwre+9S2TL6E6VjlfOw2LFyXA7rq7DRpOZjWKoiCfzxttuGlmCaUx\nyiet0ih0VVWRSCRQKpUQi8WMSpBQKITz589DFEWEw2Gk02nouo5QKGR08izfdGRZNsyh5e3JBUG4\n4G/Pww66rnelUGT1sGKluHjjjTcu+Fk8HsdLL71k+jkc+61m2XPB6sXJ6rpZpdL1TRt0qyV+VO1R\nnpaYKybm3ojmjkJPpVIolUoIh8Pw+Xw4c+YM3G630ckzl8shFotB13VjpgFVi5SPdi8vedV1HcVi\nEYVCwUijUP8Nipq0w6/BYmkhC3SrMGTxWnFai3vHXhlut9sRjvlGYfGiBNj1XLAMpSPKGxFFIpGm\nPgdd11EoFFAsFqFpGjRNMzZs2tyr3XjKJ6RSp85yYeH3+42Om3RS5XkepVIJqqoaFWTlAqPaaPfy\nEenAjAiidcuyjEwmY6yVWolbccOcv7atp3ySbjfB6rUiSZKjmtQ5VlyEQqFZI55ZYX6Tnscsqqoa\nmy9Bo8Spr0QtJElCPp83fBPkk/D5fKYiANVGoZcLC5ofQkLC5/NB13X4fD5ks1mj1wH1BSgXGNVG\nu5dT3h8DgOHXoBkkwId+DRIbzUA9OuaxDroO5nEG2WzWUf2VHC0uWOsVATgvNDWPc6HhfLSJAjOb\nbV9fH44ePXpBPpvSCHN9E6IoNrzxVhuFnslkoCiK0aqbIitUbkpj4j0eDzKZzKxpprTRlAuMaqPd\nqyEIAsLhsPH/siwbrzmfzxsCil6z2e8aq+LCyekcXdeZbbrXjcyLC5MEg0EmIxfzdB4yMrG2eSiK\nUrET4KpVq3D48OFZKQPqL1HPN1GPWqPQFUXB4sWLoes6EomEsbGRT6Jc7HAcB57njVAsRUAqCQxg\n9mh3EhlmPq+5fg16P6ixV3mVS73Uj1M36Vo4PQo6Ly6cQzabndXk0m4cKy5YjVzM03koJcCauJib\nQqMZHcVi0Tit08bZqtmxkq+iHEVR0NfXh/vvvx9utxu/+93vcPDgQSNiUakygEQKAGOSqqIoVQUG\nPY7WMtePYeY1+P1+Q5CVm1ZJgJWXvFrl17Abp4oiQRCqtslmVcyxzHzkwiShUMi4Oc3TGVi9GZC4\ncGKL5HqkUins378fBw4cwKFDh4ySTa/Xa/SbaIVqvopyyoUFTTj+6le/iiNHjuCZZ57ByZMnK5r3\n/H4/UqmUETmilKCmaTUFBgmccsHTzHRNnucRDAaN0xqljai/RnnaiMVZEYCzN2ny91SCxUgi62Qy\nmXlxYQZWDZ0sw2p6QVVVZurtJUnCyZMnMTIygn379iGZTBrmxfLul1a8nmq+inIqCQuKEAwMDOBv\n//ZvsXPnTmzZssUQBCQE6DnJg0GfA6VbagkM4EORMbd0tVkEQUAkEjGeu7y/RjabnfXestKi3Mle\nkXKfzVxYvI+wjKIoKJVKtnT4rYZjxUUwGJyPXHQYKh9k7abgtC9VOaqq4syZMxgdHcW+fftw6tQp\nqKqKQqEwy5xoJbV8FeVUEhbAzHePUpIcx2HDhg3467/+a5w4cQK5XM4oF+3p6UEikTDmC1FFSHl5\nbT2BAcAweTaTKqkGTW2ljqA0A6VQKBglr6IoGsKmll/DTpwcueA4rqrnglVx4eT3uxa5XA7BYNBR\nHh3HigtqMawoCjOnUoJy6axdpFZ2eOskVg7saRUyQ46NjeHAgQMYGRkxNjZKA9DGZzX1fBXlVBMW\nFO0oFyVerxcbN27Exo0bL5jkevz4cRw8eNDYSFRVNRpt0d83IzAAmCpdbRS62c71a5QPZ6NqHeoa\nSlUyLH4XOgUZfasZCHmeb7kRnB2wKopIXDgJx4oLjuOM1Ej5zY8FaJNm7ctF3oV5GiObzWJ8fByH\nDx/GwYMHkc1mjWZWtEnVam5D4qiV64VEi5lTfzVhATTudVq8eDEEQYAkScZGTqWp5T4KswKj0dLV\nelTbLFwu16z8tKIoyOVyxswV8mvMtyivDJlnq4nkuZ8/K7B43wZmxIWT/BaAg8UFMHMDmhcXnYNO\nnSzSSb+ILMs4deoUjh07hn379uH8+fNQFMUotSwf+mUGEiHNXC8UaaCW3fWoJSzcbnfDm7koili2\nbBn2799vRBhJLM2N3pkVGPQcsiy37Mfged6U0VcUReP9oMFuNIulUy3K5+Lk6CcNq6tGq2LZLlhM\nCwPzkYuGiUQiTPouVFVlMqTKcuSCSiFreQyaRdM0nD17FsePH8e+ffswPj5uNJaizb2VVEd5a+xG\nyjIpfWD2NdcSFsCM16I85WGW4eFh7N+/f9bPyktTy2lEYAAw+mFUaiVej2Y3Z47j4PV6DR9PpRbl\n5NcgT0c7vu9Onq+kaRouuuiiqr9nNb3A4qEQmImeljefcwKOFhe9vb2YnJy0exkNw6p3geXW5eTN\nsUJc0GyNEydOYP/+/Th69KjRSwFAW3wTlVqBV8JMaWkl6gkLv9+PQqHQ1Ga2fPlyeL3eWTdlyslX\nOsE2KjCoVLVRP4ZVp+e5LcpVVUUul6vYotzKkfI0mdaJaJqG3t5eu5dhOWYjXU5jcnISfX19di9j\nFo4WF4sWLcK5c+fsXkbDaJrGnAmVdap1uzRLPp/H+Pg4jhw5ggMHDmB6ehqyLBtVDOQBaBeUGqlF\n+Sj0Rk6F9YQFndQTiUTD6waAnp4eeL1eZDKZWaK6VCoZqZa5NCowgMb8GBzHtS2t4HK5LmhRTs28\naKR8+TyUZqOBTk6LiKKInp4eu5dhOaxGXM6dO4fFixfbvYxZzIuLNsByeoHVSpdGoy6lUgmnTp0y\nSkTPnDmDUqlktLnmed4IxXcKum7mbphzR6E3Qj1hAbTesI7neaxZswZvv/32BdGcSpNfiWYEBmDO\nj9HJnH+1kfI0F8UOv0a7cbvdiMViFX/HqpkTYNcrcvbsWaxZs8buZczC0eKiv78fhw8ftnsZDcNq\nWgSonitngWqbczmSJOFXv/oVjh8/DkVRUCwWDSFBJ3i7IEMtrb+R0tJKmBEWFA1p9fNet24ddu7c\necHPqbFWNcHarMCg567kx6CohR0nULMj5eu1KHey3wKYeZ3VxEWz5uR5mufs2bO4/vol1a6ZAAAg\nAElEQVTr7V7GLBwtLhYtWoQ33njD7mV8pGBZXJDvotaNjed5o/dEvRJRO6CTPoCGfRXlmBEWwEzU\nYnp6uun1EkuXLoUoioY3opx611QrAqOSHwOAYza3aiPl57YonztS3snheU3T4Ha7q1YnsHr/YJkz\nZ86gv7/f7mXMwtHH6/7+fpw9e9buZXykoI2ARSRJqmuyFEURg4ODjg7bUjlcM9EKwLyw8Hg8UBTF\nkk0sGo0iFotVfC4yd9aK5vl8PqOvTTNt/8ujOxSFciI0Un7BggXo6elBOByGpmkoFotIJBKYmprC\n9PS0MbjOiaiqit7e3qrvcbU0mNNxcqv1epw5cwaLFi2yexmzcPQu0t/fj9OnT9u9jKZgdU4HNUBi\nEbOdOi+55BLs27evAysyz9yW3YIgNHXtmBUWwEyEoFkTZyXWrVuHU6dOVfwM5s4dqUQrEQyC53nD\nj0GRFCenF6qNlCdxQX4NJ7UoV1UVS5curfp7Fu97ALt+C13Xcfr0acdFLhwvLs6cOcNkiSSrY8AB\nMPdel0PiqNZNYuXKlcap3e7XWs1XUT5h1CyNCot8Pt/S2ueyevVqbNu2reJmruu6qU6krQgMl8tl\nREnKUyUAHC8ygA9blAeDQUMkURVKeYtyu0fKu91uLFmypON/t92wKi7S6TREUWxKjLcT+2VwDYLB\nIERRtCQn3GlYjwA44YTUDJIk1TVlhsNhLFq0yNbQLW18FEKeu/mR98Ks+GlEWJDXhPp2WMXAwMAs\n38Nc6DtR7zU1kyKh/h/lnykJNnovWUn3USMnGilPKZRoNAqO4yDLMqanp5FIJGxJobjdbixcuLDi\n71hNiQDsGlHPnj3ruKgF4HBxAQB9fX04f/683ctoGJa9C4qiMLt2SZJMmTSvuOIK26IWFLKv5aug\n07eZz6ERYQG0XnpaDZ/Ph76+vpqbi1nR3ajAqGUiLH+fnZJaqEW1ShFRFBGJRLBgwQJcdNFFCAaD\ns/waiUQC6XQahUKhbRFT8rQsWLCg4u9FUWTWzMmqMHJiAy2AAXHBcq8LVjfoUqnEdBOweuZBYMYf\n4PV6Oxoqp+ZPdPqstwFommbczKvRqLCgz7VdN9Hh4eGar0vTNKNUtB5mBQb5U+p9lqqqzmrCZXdK\nrBJmTYVUNh2LxYzIhtfrNQawTU5OIplMIp1OQ5Iky8RGqVTCokWLql6TLIsLVr0i586dc5yZE2BA\nXKxcuRInTpywexkNw6JPhGBxzH05xWKxbtVIKBTCqlWrOnIjpHJDnueNFIhZSqUSeJ6vKJYaFRbA\nTKqxnfN6VqxYUbdTaiNRvXoCgzY5s+FsigiVmyWd9D1t1qdFfg2KaixYsMCI5qTTaaMKJZvNQpbl\npkW1pmlYvXp1zfWzmFpgmbGxMQwODtq9jAtwvLhYu3Ytjh07ZvcyPlKwLIwAc74LALjqqqva3uei\nlq/CLJSmKv9MmhEWXq/XVMSkFRYtWlS30sVMaWo51QQGia5mojDkx6BW/U7xR1l1eqaR8uV+DZr2\nmkqlmvZreL1eDAwMtLw+p8Fq1AIAjh075rjunAAD4mLNmjUYGRmxexlNwXIbcJbXbnbzWr16NYLB\nYFtOWmSabLa75lwomkTdNBsVFnSybaaHRCMIgoAVK1bU3bAaTRvOFRhkiG01vUOtxAHY7sdoZ58F\nGilPYiMQCEBV1Yb8GpSiqxaCd7vdbZlK3AlY9VsAwNGjR+fFRTOwLC5YNkbKsuy47pWNUCgUjLLG\nagiCgKuuusrSG3p5CoQGn1lB+Um7v7+/IWEBzJR0tltYEENDQ3U3aZps2oiALRcYxWLREtFGOMGP\n0amUAvk14vG4kUah0uxafg1VVdHT01M17cWy34JVcaHr+ry4aJbBwUGcOHGCyYuWZWMk6+LCTLdO\nYKZqxOfztbxJVSottRpZltHT04Ovf/3rVd36laDqFOqV0G6WLVtm6r0ncdHIRu73+xGLxQz/gJXY\n7cewa54ItSgv92u4XK5Zfo1UKoVsNosVK1ZUfR6WIxesCqNz584Zxl6n4Xhx4fF40N/fz6Spk2Vj\npNlul05GluW67380GsWGDRtaurGYKS1tFUqFfPWrX4XL5UIkEjEdFWtX6Wk1LrroIvj9flOn8Eb6\nwVBUwe12t9QqvB52+DGcZISkkfKUQolEIgBmxOC2bdvw4x//GC+88AJGRkY6JljbDauei9HR0ZoG\nWzthIma/Zs0aHD9+HKtWrbJ7KR8pzHS7dDKFQgHBYLBuE7ZPfvKT+NOf/gRVVRs6qc5t2d0u5nos\nVFVFKpVCNBo13P/VcLvd0DStoyFfnuexdu1abNu2re7GTCK22tRUwuVyged5Q7xZ0Sq8HmZGu1tF\ns8bUTjC3RfnExATGx8fx+uuvQxAELF68GBdffDHWrl2LSCTC/KGEJY4fP+7IlAjAmLhgEVZnjAAz\nJ3+Px2N5m+hOQWKh3vu/ePFirFy5Evv37zeVCmp1FHojVDNvapqGRCKBSCQCt9tdNUUQDAaRTCbb\ntr5qrFu3Du+++66px9abmkoRmrm/74TAAKqPdrcKElZOb08OzE7/6boOWZZx5MgRHD161JjqumrV\nKgwNDWHp0qVYsGCB4yvPWPVbADORi3lx0QLr1q3Djh077F5GU1BqhMXwoSRJiEQizIoLAMjn8/D7\n/XXz8zfffDNGRkaMJk+VoBbTrYxCbwQzVSHT09Pw+/2IRqNIp9OzRJTP50OxWLRl0xoYGIDb7TY1\nv6W8uqd8/bSRaZpWNXrWKYFRabS7VRsSy9FBMjCTZ0GWZezevRt79uyB1+tFIBDAunXrsHbtWgwM\nDFQd024nrPotAGBkZAQ33HCD3cuoCBPiYs2aNXjsscfsXkZTKIoCj8fDpLhgvd8FMBN9MXNDGxgY\nwKpVq7Bv376KZsTyU2snolCNlJvm83nIsoxoNIp8Po9isQiO4+Dz+SydetoI4XAY8XgcExMTprwh\nc6emUhrEjIjrlMAAPvRjUKpEVdWWhAF1K2UhalGN8nsElWADMxGpRCKBN954A2+//TZEUURPTw/W\nr1+PwcFBLF682BGmcVEUO1ZJZTVOrRQBGBIXR44csXsZTaEoiiPVulkURWHaBQ58GL2oFYHhOA63\n3HILRkdHjRMq0DlfRTnN9LGgG3kwGEQ0GoWmaZZXUzTK0NAQxsfHTYkLKk2lCg0yx5qlkwIDgCEq\nBEFoabQ7y1ELolbakUQ5MHNdj4+P4/jx4/B6vRBFEQMDAxgeHsby5cvR29trS58RVj+DUqmEsbEx\nx3oRmRAXAwMDyOfzSCQSiMfjdi/nI0WxWITP52NaXBSLRcTj8brpnSVLlmB4eBg7duwwRlp3wldR\nTjPCopxsNgu3241IJNLxtc9l1apV8Pl8pmdlUNqp2fbUnRYYAC5Ilaiqanrt5AdiNd9PmH0Nc/0a\nkiTh4MGDOHjwILxeLzweDwYHB7F+/XosW7bMmALbTliOGo2MjGDp0qWmuhHbARPigud5bNy4EXv3\n7sW1115r93IahgxrLN5EWO7VUQ411SoUCjUfd8stt+DQoUMttetullaFBeH3+5FIJOByuRCNRlEq\nlZDL5TpuKh4YGDBOhWZ8LGScrGXurIcdAoNEHJXKmq3OmTsinmWa+Z6QXwOYiQRls1ns2LED77//\nPtxuN8LhMNatW4c1a9ZgYGCg7syaZmDZb/HBBx/g8ssvt3sZVWFCXADA5Zdfzqy4IFMnqzcSlsUR\nUSgUEI/Ha4oLr9eLwcFBXHvttXj++ec72l3VKmHh8XiMkD2lciiSoWlaw7MkWsHj8WDx4sU4cuTI\nBQKV5/lZQ8fKhY+Z0tRa2CEwgMZKV7spamGVAC/3ayiKgvPnz2NiYgLbt2+HIAjo7e3F8PAwVqxY\ngcWLF1ty6HG73Uz64QBg7969uOKKK+xeRlWYERdXXHEFs6ZOWZYRCoXqnpqdSrFYhNfrtT2H3yqF\nQqGi90IURQSDQciyjEQigauvvhrvvvsupqamOiIwrBIWwMxGOrf0VJZlY9Pz+/1G9VKxWGx7rnl4\neBiHDx8G8GGUgnL01SJD9UpTzWCXwADMla52S9SC5/m2XEN0rZT7NcbGxnDs2DH4fD6Ioohly5Zh\neHgYy5YtQ09PT1N+DVEUmb2v7dmzB3fffbfdy6gKU+Lim9/8pt3LaArqdcEqZisunE559IJKH0Oh\nEICZkk46ZXq9Xtx+++3YsmVL2ytmrBQWfr/feG2VUFXV2Gw9Hg+CwaDR5lmSJMv9GRzHYe3atca1\no2maqZQBlaa2arSzU2BUKl0lPwb5S1jsfTOXTkVfyv0amqahWCxi79692LdvH7xeL3w+H1avXo31\n69dj6dKlRlfRbqVUKmHv3r249NJL7V5KVZgRF4ODg8aoYBZNnSw30wK6IzUCALlcDoFAALquG82n\nKp2Q169fj+HhYezevbtt5XJWCgue5+H1ek2XnkqSZISDBUGAx+OB3+83fCmKohhh/blpi0p/m06Z\n5TM56D12uVzI5XINCexSqWSUeraCnQIDuNCPoapqV6RDAHtbZnMcZ3wvVVVFOp3G22+/jZ07d0IU\nRcRiMQwNDWFwcBBLliypOMSQZb/F0aNHsWjRIkeLKGbEBeumThqkxWpqhAyRnZxR0S6oqVatzpUc\nx+G2227D6OgoMpmM5S2NrRQWwEwnzmY/m/JBa6lUyjDa0cwUSmUAM1Gd/v5+FItFADObJ0UkVFWF\nJEnI5XKzIiArV65sSqRZJWjtFhjAh34MQRDA8zzTVQqEk1I7PM8b/WlKpRLOnj2LU6dOYevWrRAE\nAf39/YZfo7+/3xDUrFbB7du3z9FmToAhcQGwbeqUZRnhcJhZcaEoipFCYBFBEBAKhaAoCqamphAK\nheqWpkYiEdx+++341a9+ZWl6xGphQZECq05h1Na5ErFYrOF24kNDQ9izZ0/D6zA7d8QMThAYwIxo\nJf9LO1qJdxonrr3cr0HX8sjICI4cOWJ4jpYvX44rr7zSmALLWtr6gw8+cLSZE2BMXLBs6qzVVpoV\nqPKAJbXPcRxCoRA4jpvlq1BV1VTn1IsvvhgHDhzAjh07LHGnWy0sgJmpp/WGs9nJsmXL4PV6TbUC\nn4sV5k7CboHhcrmgaVpNPwYr0Gthgbklr4qi4IMPPsDBgwfhcrkQCASwdu1arF27FkuXLmXiEOV0\nMyfAoLhg1dQJsO9boCmjrIgLv98Pr9eLTCZzweaUzWYRi8XqNmziOA633347xsbGcP78+ZYERjuE\nBW3aTr7Rx+NxBINBTE1NNZxeqjZ3pFnsEhjlDcKISn4MVjpFsuwboa679BqSySTefPNNvPvuuxBF\nEfF4HMPDw1i1ahWWLFlScRyAnbBg5gQYExesmzrJd8Hql5LMaE7PF7vdbgSDQRQKhaoGR13Xkcvl\nTHkV/H4/7r77bvzP//yPsRk0SjuEBa3NrvkhZuE4DuvWrcPrr7/elHdl7tyRVrFDYNSKvpT7MUhk\nOFksUvTJyfeAepSX0M4teaWR8j6fDy6XC4sXL8aGDRuwfPly9PX12T5SfmRkxPFmTgBw/fu///u/\n270Is3Ach5dffhl9fX1YuXKl3ctpGFVVEQwGDTMcq9C0S6fhcrkQiUTA8zzS6XTdNaqqarSnrncz\nj0Qi8Hq9s3o2mKVdwiIYDEKSpI6KVZq02ii6rmPv3r0tpQatbNgkiiJ4njd6HLRzgBYJ8nrXGKVM\nyv0CToTKQZ26PjPQvKC5UHOz8nTV5OQkDhw4gPfffx/bt2/HyZMnjWomn8/X8XT3Sy+9BJfLhTvv\nvLOjf7dRmIpcAMD111+Pt956CzfddJPdS2kKMgay+sU0O6ejk3AcZ/RsyGQyDYWW0+m0YVKs95ls\n2rQJ4+Pj2LFjh+nmWu0SFhRKZ6UB0MDAgFH618zNWFVVuN1uSze1TkQwyFdhNurSztHuVsFySgRA\nQz1G5vo1crkcdu3ahT179sDtdiMUCs1qUd6JfkDbt2/HZz7zmbb/nVZhTlzccMMN+Lu/+zu7l9E0\nlBphOXpB7cydEL3w+Xzw+XzIZrNNhc11XUc2m0UoFEI6na75WJ7n8dnPfhaTk5M4duxY3dNuu4QF\nMGPiZKksOBgMoqenx/SU1EqUSiXLyx/bLTCaNaNaPdrdKlidIFpOK2bUuSPlp6am8Prrr+Ott94y\nRsoPDw9j5cqVbRkpr+s6tm7dih/84AeWPm87YE5cfPzjH8fIyAhSqZTlN+xOIEkSwuEw0+Iin88j\nFAohlUrZtgZRFBEKhVAsFlv2HMiyDI/HY6p6xOPx4N5778V//dd/YXJysqrBs53CQhRFR55o6zE0\nNITjx483LS6sLE0tp10Cg1IbrazVqtHuVsF61AJoLHJR73mqjZT3+XwQBAFLly7F0NCQZSPlR0ZG\n4PF4sGLFipbX326YExdutxubNm3Cu+++i82bN9u9nIbphpJUOrnY0aGPWnbrum4qlWGWTCaDeDyO\nUqlU92QWiUTw5S9/GT/72c+Qy+Uu2CzbKSwA2C7smmXVqlXwer0tfWZWlqaWY7XAoNy9Vet0Qukq\niTpWU7pAY16pZp67vEW5JEk4cOAADhw4AK/XawxGHBoawsDAQFMj5d955x1cf/317XkBFsOcuABm\nUiPvvPMOk+ICYLNfxFzy+bzR6bJTBINBiKKITCbTltPT9PQ0IpGIqUhIf38//uqv/goPP/wwJEma\ndXppp7Dw+XyQJMnR1QTVoEmWkiQ1fZO3ujS1HKsEBuXprRZAdpeuslxGT3TyQDTXr5HJZPDee+9h\n165d8Hg8CIfDRotysyPl33rrLdx2223tXrolcDqDMvStt97C1772Nbzwwgt2L6UpqHFLvRy/04nH\n45ZGD6rh9Xrh9/uRy+XaPh6Z0iNmP5v9+/fjkUceMXpNtFNYcByHWCxma+lpMx06y3nooYdw8ODB\nlvqF0E27XeK8UCggk8kgEAg0JTA6VU5a3uWz3X+LTuVO8Fm1ghNSS8CHbfMVRYHX64UgCOjr6zP8\nGosWLbogIqrrOi699FK88847WL58uT0LbwAmIxdXXHEFjh8/jmQyiVgsZvdyGoZyqKxD0YtcLteW\n56eW3TQKvRNIkgRRFCuOZq/E0NAQPv/5z+ORRx5Bb29v24QFMHOSbtd73SmGh4dx8ODBlp6D0gLt\nMhe2EsGgkHgnTsdmRrtbRTcYOZ3Un6OSX+P48eM4duwYvF6vMVJ+w4YNWLp0KXp6ejAyMgKfz8eE\nsAAYFReiKOITn/gE3nvvPWZTI5IkMZ8aobJUqze8aqPQO0U2m0U0GkWpVDL1+WzcuNGohmhXYxua\nOMpK6Wk1li9fDq/X2/JG1Y7S1HKaERi0UXRyE+5EK/FuGRHv5KnU9PkBqDpSfnJyEtddd53NKzUP\nW9Nayrj++uvx9ttv272MpikWixXHALOG1a8jEAggEokgn8/bIiyI6elpBINB0xGmwcHBtnbMY630\ntBq9vb3weDyWfK5UmtoufD4fQqEQcrlcXQHN87ytlRTkx9A0zZhkaxXdELUAnC0u5kIj5SnFlk6n\nsWPHDtx44412L800zIqLG264AW+++abdy2gaaqXNOvl83hJx4fF4EI/Hoaoqksmk7bldXdeRSqUQ\nDodt/5yc1OegVXiex+DgoCWbMFVetbMCwIzAoFOnE8yO1EocmLluWr12qeqFlU25Gk5KiTTLuXPn\nmKkUARgWF1dccQUmJiYwMTFh91KahhpqsU4r0QtBEBCLxSCKIpLJpKP6f2iahunp6aZKxqwkGAwy\nnw4pZ2hoyDLPEZWmtpNaAqO8MsRJGxdN/6TKkmavX6ubltkF6wJpcnIS0WgUy5Yts3sppmFWXAiC\ngFtvvRWvvfaa3Utpmm5JjTQTveA4DuFwGMFgEOl0Gtls1lE3Z4JCknYJDL/fj0Kh4Mj3plmWLl1q\nNAJrlfLS1HZSSWA4VVgQ5McgASYIQkPXcLdELYDZg8pY5NSpU7jrrrvsXkZDMCsuAOCOO+7Aiy++\naPcymoa+tKw31QJmyvfMCgy/349YLIZisYhUKuX4L32pVEIul+t4R1iO4+D1elEoFDr6d9tNNBpF\nJBKxbNPqRPQCuFBgOFlYlNOsH6NbohbdcH89d+4c/uIv/sLuZTQE0+Lilltuwfbt25kuz+uW6IUZ\nceF2uxGPx6HrOhKJBFOVMrIsI5fLdbT0ORQKdVU6hKAR7Fb6ajpV3k0CI5/PI5VKOV5YlEN+DIq4\n1Ir2dEuFCMC+ITWTySCXy+ETn/iE3UtpCKbFRSQSwaZNm7B161a7l9I0xWIRXq/X7mVYQj6frzgV\n0OVyIRqNwuPxIJlMMnsSLxcY7T4NCYIAnueZEmCNsGbNGkuve1VV227uBGY23UgkYgg/Fg82lCpx\nuVxV/Risb8jlsJ7aOXHiBP7sz/6Mud5ITIsLALjtttvw8ssv272MllAUhbkLpxLFYnHWiYjjOIRC\nIaOMMpPJMHXSq4Qsy8hms20XGN1SelqNgYEBoy+DVbQ7PVLusfB6vabLVJ0IpUrK/RhEN0UtWBcW\nwIyZ83Of+5zdy2gY5sXF7bffjhdeeIFplV0oFEz1lWeBbDaLYDAIn8+HWCwGWZaZ8FU0gqIoSKfT\niMVibTESejweKIrSVe/ZXPx+P/r6+ix9jSRU2vGZVDJvNtIHw6mQyNB13ShddUpZrRWwHoGRJAln\nzpzBLbfcYvdSGoZ5cbF8+XL09/dj165ddi+laShE2Q3GIwBGr/xEItH2WSB2USqVjDJVq0/L3dDm\n2wzDw8OW3/jb0ViLyjkrmTe7QWAAM2klWZbhcrls7+tiFd3Q2+LkyZO48sorjY7FLNEVV9Edd9yB\nV155xe5ltATr3gue5xGJRODz+ZBIJLoizVMPVVWRSqUQCoXgdrstec5AIIB8Ps/0DdEsy5cvt9zM\nTKWpVgkMmv9QqyqkWwQGMLMhy7LcVOmq02A9agHMVIl88YtftHsZTdEV4uL222/HH/7wB7uX0RKN\nlHI6jWAwiEgkglwuh3Q6bczkYFksmUXTNCSTSfh8vqZHdBM8z8PtdjuqkVg7oRHsVgspqyKBtLma\nKTftBoEhCIIxl6RdrcQ7Cet+C1VVcerUKWZGrM+lK8TF5ZdfjnQ6jZGREbuX0hKyLFt2Au4EXq8X\n8XgcpVIJyWRyVp42l8vB7/czffJphOnpaQBoab5It5aeVoMmP7aj1Xsr6RHyV1ATKrOwLDDIxFl+\n0re6lXgn6YaoxZkzZzAwMICBgQG7l9IU7FwtNeB5HnfddRd+//vf272UlqAR5k6HWnaTr6LaSTub\nzTKZK2yWXC6HQqGAeDze8MZGaSS7Z6p0muHh4bYI0GbnjpC/otlZLqwKjFomTqtaiXcS1qMWwExX\nzvvuu8/uZTRNV4gLALj33nvxxBNPMJ2rpi+DU08IPM8jHA4jEAhgenq67im7vGHPRwWqjgmHww2l\nubq99LQay5Yta1v6rNHS1HJ/RSsbE2sCg+d5w6tSjVZbiXcSjuPqvh6nUyqVcOLECdx77712L6Vp\nnLmLNcHHP/5xcByHPXv22L2Ulsjlci3n7ttBIBBANBpFoVBoaBR6Op3+SEUvgA99GNQ8rN5N2Ov1\nQpZl5k9azdDT0wOfz9eW12527ki5ALaqnTcrAqPRia4s+DHIO8Iy4+PjGBoawtKlS+1eStN0jbjg\nOA733nsvnnrqKbuX0hLUUMsppwIaha5pGhKJRMNhe13Xq3bu7Haog2MsFqs5/dbv9zt6A2onPM9j\n9erVbUsH1WsLTl0qS6WS5RsSCwKj2fkhTvVjdEP5KQBMTEzgb/7mb+xeRks444qwiL/8y7/EU089\nxXze2gneCzp1u93ullt2F4vFC7oAflRQFAXJZBJutxuRSOQC0RgMBh278XSK9evXty11pus6VFW9\n4IRN0QoqvWzXZuRkgUGCoJWokdP8GN1g5JQkickpqHPpKnExODiIFStW4M0337R7KS0hSVLNk247\naVfL7nQ6jXA4bMEK2UPXdWQyGeTzecRiMcOLQTfkbm00ZpalS5fC7Xa3bYMncUEbX3m0ohOdKJ0o\nMCgdYsVGXMmPYQfd0rZ8dHQUN954Y0eHJLaDrhIXALoiNQLY0/eCWnZLkmR5y25N05DL5T5y/oty\nFEVBIpEAz/OIxWIIh8MfSRPnXCKRCKLRaFs3Bdr4qNS7ndGKSjhNYJDPwsr3oNyP4Xa7O+7H6Iao\nBQCcPn0aX/nKV+xeRst0nbj44he/iBdffNERX+BW6KS4oFHoHMe1dRS6JEngOI6pXh7tIJfLIZ/P\nQxAE+P1+x+Sr7WRoaKhtUQSO44y21nbObHGKwHC5XNB1vW1ibu5o906kSjiO64ry00wmg0Qigc98\n5jN2L6Vluu6u1tPTg2uuuQZ//OMf7V5Ky7S7JTj5KrxeL5LJJPL5fNv+FpHJZBAMBm3PzdpNIBDA\n1NQUCoUCIpHIR/49GRwctPxap9A/ndKprbWd2C0wSGh1Ih1Unippt8jolqjF6Ogo7rrrrq7obtx1\n4gIA7rvvPvz2t7+1exkt0y5jJ8dxCAaDCP9/7d13dFTl1j/w75neG0iAAIJAlITQBUUUBGwoSBNB\nUV4pegniq4AochWwgXhdvCBFLFjQC+hVQZaAgEBAEEJT6TVRIFQzk0zvvz/4nXNDC0nmnDnnzOzP\nWrNECJMnITNnn/3sZ2+LBR6PB2VlZUlLEcfjcZSVlSXUyVLu9Ho9AoEAl0Z2Op0Ih8Ow2+1pG2TU\nq1ePtxHs5YOKWCzGHS+t7NFUoYkZYLAD2JKF/RlnT+0IEdyxWQu5BxfxeBzFxcV46qmnxF4KL1Iy\nuOjVqxd27tyJ4uJisZeSsEAgwOv2iE6ng91u5y5qYoxWZu8ipdjPQ2gMw0Cv11+RJQoGg9xRXzbI\nEPsimEx6vR5169ZN6OfxakHF5Wny6x1NTRYxAgwh6iwqq3yQx/fR1VTJWly4cA59xcYAACAASURB\nVAEMw6BTp05iL4UXKfnuZTAY8Pjjj2Px4sViLyVhPp+Pl+BCrVbDbrdDqVRKYhQ6W3OQbvUXJpOp\nws6mbJARCoVgtVphtVolcTFMhuzs7Gpd+NhTNxUFFaxrHU0Vg16vh16vRygUEqzOicV+vWLXJPB9\ndDVVshYAcPz4cTz77LMpc1ORGl/FVeTl5WHhwoWCv2iTIZHiTnYUusFgQGlpqaQKXcvKytLqDp1t\nL12Zn8lQKASn08kNgLPb7SmxD1uRRo0aVfprZGsH2LvgSCRS6bbdlx9NFUs4HEadOnUwevRo1KhR\nQ7DtCvYCLEaW8mr4bCWerPoRoQUCAfz111+yb5xVXsq+qzdr1gzNmjXDTz/9JPZSElbd4MJoNHKj\n0KvSsjtZ0q3+ojrzQyKRCMrKyuByuS45wpqK81rq1KkDjUZT4c9p+SwFcDEIq06qP5GpqXwIh8Oo\nUaMGRowYgZycHAwfPhwOh4P3AIM9sSHFC3CircRT5YQIABw9ehQ9evRArVq1xF4Kb1I2uACAUaNG\n4YsvvhB7Gbzw+XyVrlFgW3ZHo1HR6ioqKxKJwOfzpXyAodFoqj1pE/hvG3X2VA877t5sNqfMtolK\npUKjRo2u+HlVKBTcFlr5LEUiqfDqTk3lQygUQkZGBp5++mnuYlKrVi1BAgwx6ywqq7qtxFMlaxGL\nxVBUVITnn39e7KXwKqWDi4cffhiFhYU4dOiQ2EtJWCAQgFarrfDNkB2FrlarKxyFLjXBYBDRaFT0\nludCul6tRVVEIhHuPDxb8OtwOGCxWK77MyJ12dnZUCgUXBdN9mITjUarnaW4lqpOTU0Ue6feoEED\nPP3006hRo8Ylf853gMHWoMjlzr4q9Rip0o0TuDhHpEaNGujYsaPYS+FVSgcXarUaI0aMwFdffSX2\nUnjh8XiuOgCMYZgqjUKXIo/HA41GI1rbcyEZDAb4/X5B7h7D4TAXaHi9XiiVSlitVu7EiUajkXyw\nwTAMtFotzGYzWrRowWXo2FNFQt15s0dTk7E9whaS3nzzzRgxYsQ1M3V8BRjs1yS3QsfK1mNUZZKr\n1BUWFuKFF16Q/Ou0qpi4lPNlPDh16hRyc3Oxbdu2lJjMabPZ4Ha7uTcNg8EAnU4Ht9st+4FtAGC3\n2+F2u1PmjYNhGNjtdpSUlCT9c7N3/uxdIHuSIhwOV/uCbbfb4XQ6q70mdouDrZtQKBSIx+PciYlQ\nKIR33nmHG1mfDBqNRtDCb/buuk2bNujbt2+l6mXOnTuHjz/+GCUlJVWur2EzP6nwfsD+vJTfUlQo\nFJIqUE2E2+3G6tWrcfr06ZS4PpWX8sEFAPTr1w+33347Hn/8cbGXkjCVSgWTycSNMff7/QlNLJUa\n9mLscrlSIuVpsVjg9/sl8UbPppvZCzt7pxSLxbg372g0yqXSr/b9v15wwb7xs+222RMy5SdwsjUT\nbN+Dy3333Xf45ZdfkpbFYk+OCHGxYk+mdOvWDV27dq3SyajqBBhsAee1vrdyxf4csYW4Uq8jqazd\nu3ejY8eOmDdvnthL4V1aBBfr1q3Dc889h9WrV8s+9aRUKuFwOBAKhZLaWTOZ2NS+0+mU9dfHBoIu\nl0vspVTo8iCA/f/LCx6vdky0fF0PO6+CfZQPWKry77hv3z4sXLgwqa9V9kQFnz9v4XAYRqMR/fv3\nR25ubrWeoyoBRqoGFiy2SRrDMCnxNUYiEfzwww/YunUrsrOzxV4O71KjzPw67r77bkQiEWzbtg23\n3Xab2MupFrZlt1KphNPphMVikf2L61qi0SjcbjdsNltCKXixmc1mlJaWir2M62KDgcpkVxLdFqmM\nBg0acBfJZAUY7B4/Hxkmtm7ghhtuwODBg5GZmVnt52JrMK4XYKR6YMFiAwu2Vbyct0aKiorQvHnz\nlAwsgBQv6GQxDIMxY8bINvV0+Sj0SCQCv9+f0qcrwuEwvF4vbDab2EupFq1WW+mmTuRSZrMZNWrU\nSGoxIl9zR9hALTs7G6NGjUoosGBdr8gzXQKL8tsh5VuJS6HbalXFYjEcPXoUr7zyithLEUxaBBcA\nMGTIEOzbtw979+4VeymVplarrzkK3e/3Q6fTpXR3y1AoxE0NlRuj0SjLUztSkZ2dnfTALNG5I2z2\n495778WQIUN4LdCrKMCQQy+LRF3t6Cl7PDmZo935cvLkSVgsFjz44INiL0UwqXtluoxWq8ULL7yA\nDz74QOylXJdCoYDNZoNer69wFLrb7YbZbE7y6pIrGAxyczbkwmg0JmV8fSpr3Lhx0o8lszUjVb0T\nZu+k7XY7hg4diu7duwtyN321AEOtVnNFuKmsoqOnfLUST6YjR45g8uTJslhrdaVNcAEAzzzzDDZu\n3Ijjx4+LvZRrMplMsFqtlRqFzqYGU7EVdHl+v182AYZCoYBGo5FNAzOpqlevHtRqddLvxtnTCJV9\n02eLVXNzczF69Gg0btxY0PWVDzDY3hmpHlgolUpu2+paLm8lLuWutadPn0YsFsOAAQPEXoqg0iq4\nMJvNyMvLw4cffij2Uq7AtnOu6ij0dMheAPIJMKozP4RcSavVIjMzU5SCvcrMHWF7c+j1evTv3x9P\nPPFE0l6HtWrVwpgxY2Cz2USfbiw0dkBdZX8O2FbiQox258vhw4cxceJESQdAfJDed15go0ePxvLl\ny3H69GmxlwLgvy27qzsKnZ05kWoNWK5G6gEGm0GScwW7lDRv3lyUOoLrzR1hsxVZWVkYPXo0br31\n1qRexGw2G6xWK4YOHSrIsDMpqW4nTr5Hu/Pl77//RllZGYYOHSr2UgSXdsFFzZo18cQTT2DBggWi\nroMdhc627E5kFHogEOD2G1MdG2BI8RSJyWSirAWPbrzxxmpNA+bD1eaOsNkKg8GAvn37YsSIEahZ\ns2bS1sQ2mPP7/QgGg4INO5MKtntrdbd9+BztzpeDBw9i3LhxV+0Zk2rSoonW5U6cOIGWLVti06ZN\ncDgcSf/8RqMRGo0GHo+HtzcFtghUjDbTYtBqtTAYDHC5XJKoktfpdFAqlQkFiXKQjD4XrGg0irfe\negter1eU9Hb5wV/sBapZs2bo2bMn7HZ7UtfCBhZXa/OfSKtwqRLieO3VWoknU2lpKX7++WfupEiq\nS7vMBQDUr18fDz/8MBYuXJjUz3v5KHQ+7zZisRj8fn+lx7LLXTAY5PpgiH03wjAMDAZDygcWyaZU\nKtGkSRPRtpmi0Sg3kbVmzZp48skn8cQTTyQ9sFAoFLDb7SgrK7vqe0YqZjCEaPFd3dHufDl06BBG\njRqVFoEFkKaZC+DiP3SnTp2wZcsWwesVVCoVzGYz1xhKyG95qg3+uh61Ws11whRrAqTJZEI4HE75\n4joguZkL4OLshUWLFiW9URJ7+sBisaBbt2649dZbRZnYq1KpYLFYKvXznSoZjGQMXmMLRdmZMkJf\nBr1eL1auXInjx4+jVq1agn4uqUjLzAUA3HzzzbjnnnsErb1gR6GbTCaUlZXB4/EI/kNcWlqaNpEx\ncPE4bmlpKaxWqyhvqGzBWDoEFmJo0KABNBpN0ra+4vE4gsEglEolOnTogOeeew69evUSZY9co9HA\nYrHA5XJVKnBOhQwGOz9E6JujZNdj7Nu3D8OHD0+bwAJI48wFABw7dgzt27dHfn4+atSowetzizkK\nXafTQaVSpVWHSIZhYLPZ4PP5knqht9ls8Hg8aZMpSnbmIh6PY/r06fj7778FzV6wmQqtVoubbroJ\nDzzwANe6W6PRQKvVJrVYV6/XQ6vVVmvonZwzGGI1BROyHsPlcmHdunUoLCzk/TojZWmbuQAudgEc\nOHAg5s6dy9tzajQarsFNSUmJKHcQgUAASqVSdm8siYjH43A6ndDpdEmrO1Gr1VyxHxEGwzC45ZZb\nBPsesydAGIZBkyZNMHz4cAwbNuySmSChUIibGpsMZrMZKpWq2tN05ZrBYJtlidEUjK3HYAtJ+azH\n2LdvH8aNG5dWgQWQ5pkLADhz5gxycnKwatUq1KtXr9rPo1QqYTabEY1Gk7L9cT1sdbncx5ZXh9Fo\nhEqlEnwiqcPhSLvvb7IzFwBw4MABfPHFF7w+Z/lMRYMGDdC9e3c0btz4mqlx9vVd3Qt+ZbDZt0Ag\nAL/fn/DzySmDwV7Uy89PEnMtfNVjnD9/Hlu3bsVff/2VNsX2rLTOXABA7dq1kZeXh//7v/+r1t9n\nGAZms5nrzOh2uyVxsYnH4/B4PGlVf8Hyer3w+/1wOByCVYTr9XoEAgFJ/FunugYNGnAjthPF3qEq\nlUo0b94cTz/9NJ555hk0adKkwj33aDSKSCQiWFEn20zP4/HwElgA8spg8DXung9Xq8eorn379mHK\nlClpF1gAlLkAcLEIMisrC0uWLMHNN99c6b+n1+uh1+vh9XolW9BnMpkQjUZ5e8OSE6VSCavVyvu/\nD5sVSpeeIuWJkbkAgFmzZuHEiRPVfqNnu2rq9Xq0atUKd9xxBzIyMqr0HEL9u+t0Ouj1epSWlgqy\nJSD1DAYbOIp12ut62C2xSCRSpX+fU6dO4eDBgzh+/Lgkv+9CS/vMBQBYrVaMHz8e7777bqU+/vJR\n6FINLADA4/FwBZ7pJhqNoqSkBFqtltfjxiaTKa2KZaUgJyenyhcf9uQHwzBwOBzo1asXxo8fj759\n+1Y5sGCfj+9eMhaLBWq1Gk6nU7BaAylnMBQKBRiGkWxgAfx3tHtVWonHYjHs27cP7777bloGFgBl\nLjiBQAA333wzZs+ejXbt2l31YxQKBcxmM+LxuGS2PyqD7d6ZbvUB5fF1d5iMvXcpEytzUVhYiI8/\n/vi6/3ZsSpthGOj1emRlZaFDhw646aabeCvIdDgccLlcCf8cCZFVq4jUMhhCdOEUGntUls20XGvd\nx44dw99//429e/dKcnhaMqTf7ew16HQ6TJo0CdOmTcM333xzRXRqMpmgVqtl2aAqFotx9RdCFzlK\nVSAQQCQS4Y6rVnckOk09FUe9evWgUqm4TER55UeP6/V6ZGZmon379sjOzhZkUqnb7eZ611SHXq+H\nTqdLOECpKjaDIZUAg62zkEtgAfy3EJjNYlzt6Go0GsWBAwfw1VdfpW1gAVDm4hLRaBS5ubl45ZVX\n0K1bNwAXgw6DwZDQBUkq0rn+ojyz2QyFQoGysrIqvbGJ0e9AasTKXADAJ598ggMHDkCtVnMZCuDi\na7RGjRpo164dmjVrhho1agjeEp7NOlTlRkOhUMBisXCdesUihQyG1OssKutq9RgHDx6EUqnEL7/8\nIvpoAjFRcHGZVatWYdSoUdiwYQNuuOEGhEKhlJoZYbPZ4PV6Jbf3mmwajYabYlrZ70U6Hj29nJjB\nxa+//op///vfMBqNUKvVyMzMRMuWLdG0adOkBBTlsVONK/u90Gq1MBqNKCsrk0TmU8wAIxntvZOp\n/NFVt9uNFStWID8/H61btxZ7aaKi4OIqevfujVatWmHkyJGiNHQRElvxnuyUrBSx7dkrU0NjMBi4\ngr50JmZw4XQ6sWXLFtx000248cYbYTAYRFkHy2QyIRKJVJjRZH/GYrGY5DJeYgQYbM1CqgQW5TEM\ng4KCAnTq1Anz588Xezmio+DiKoqKitCuXTusWLEC9evXF3s5vFMqlbBYLKJdJKSGzWJ4PJ6rNvFJ\n56OnlxMzuJAih8NxzZ8LdktVjBEAlZXMAEOOBZxVcf78efz66684duxY0ifnSlH6VptUoGHDhvjf\n//1fvPHGG2IvRRDRaBQ+nw9Wq1XspUhCKBSC0+mEVquF1Wq9ogiLijjJtfh8viuOOSuVSthsNqhU\nKtFGAFRWMo+psgPJUjGwiMVi2L17N9555x0KLP4/ylxcQyAQQE5ODt566y107txZ7OUIwmg0Ih6P\nw+fzib0UyWBHXAcCAfh8PqhUKhiNxrQ9ZXM5ylxcyW63c0ec2VNlZWVlsipWFDqDkSoFnNdy6NAh\nBAIB7Ny5M61PiJRH34Vr0Ol0eP/99/Hqq69KuklWIrxeL9RqtWAtjeUoEomgpKQE8XgcDocDFouF\nshakQm63G1arFQ6HA5FIBE6nU3YXUSEzGGx/Ebl9TyorEAhg3759+PjjjymwKIe+ExXo0aMHsrOz\n8cknn4i9FMGUlpbCYDCIfuZdavx+P3w+H1eQl6yJmEReVCoVd7TZ7XbL+ri6EAGGQqGAQqGQxAkZ\nofzxxx949NFH0bZtW7GXIim0LXIdbHHnypUrE5qaKmVswWJpaWnK3l1UB1usx3blZCv+0/klQ9si\nF7HdegFwmS2bzZYSRb98bZGk8skQ1vnz57FlyxYcO3YMDodD7OVICmUurqNhw4YYPXo03nzzTbGX\nIph4PI7S0lJYrda0bvpSntFo5GpRotEoXC4X/H4/bDYbTCYTfZ/SFBtUsE202FqLWCyGQCAAvV4v\n9hITxkcGgz0ZksoZi1gsht9++w3Tpk2jwOIqZBFcnDhxAnfffTdycnLQvHlzzJo165I/f++996BQ\nKC65a5g6dSqaNm2KW265BatXr07o87/00kvYu3cv1q1bl9DzSFk0GoXb7YbNZhN7KaJTKBTQaDRX\npLjD4TCcTifC4TDsdjuMRiMFGWmCYRguqAgGg3A6nVdcOH0+H/R6fUr8TCQSYKT6kVPWkSNHULNm\nTYwYMaLazzF06FBkZGQgNzeX+70XX3wRzZo1Q8uWLdG3b99Lisn5vK4JTRbBhVqtxowZM7Bv3z5s\n3boVc+bMwYEDBwBcDDzWrFmDG2+8kfv4/fv3Y8mSJdi/fz9WrVqFvLy8hBpG6XQ6fPLJJxg/fnxK\nD6wKh8Pw+XxpH2Bc7+hpMBhESUkJIpEI7HY7ZTJSGJupsNlsXFBxtV4oLK/Xy+sEXjFVN8BI5SOn\nLLfbjb179yY8P+Spp57CqlWrLvm9e++9F/v27cPvv/+OrKwsTJ06FQD/1zWhySK4qF27Nlq1agXg\nYle8Zs2aobi4GAAwZswYTJ8+/ZKPX7ZsGQYNGgS1Wo2GDRuiSZMmKCgoSGgNXbp0QZ8+fVK29wUr\nGAwiEAikbQ+My+dWVIQNMsLhMGw2G1fYR+SPbTRXPlNRUVDBCgaD3LyJVFDVAIMd5iXli16iYrEY\nduzYgfHjx6N58+YJPdedd955RV+Me+65h3sf6dChA06ePAlAmOuakGT3TlhUVITdu3ejQ4cOWLZs\nGerVq4cWLVpc8jHFxcWXFF/Wq1cPp06dSvhzT5s2DVu3bsXPP/+c8HNJWSAQQCgUgsViEXspScd2\n6qwK9uITCAS4C5JKRQOH5UitVnOBos/nq3RQUZ7b7RZkGqtYKhtgpENgAVzcDrFYLJgwYYLgn2vB\nggXo0aMHAOGua0KRVXDh8XjQv39/zJw5EwqFAm+//TamTJnC/XlFaTg+0tYmkwkLFizASy+9lNLb\nI8DFo5jRaDRlUryVodPpEAqFqv3mGA6H4XK54PF4YDAYYLfbodPpeF4lEYJer4fD4YBOp4Pb7YbL\n5ap2MSI7hluj0fC8SvFcL8BQqVRcYWsqY7dDFi1aJPgNxFtvvQWNRoPHHnvsmh8j5e1Y2QQX4XAY\n/fr1w+DBg9G7d28cO3YMRUVFaNmyJRo1aoSTJ0+ibdu2OHv2LDIzM3HixAnu7548eRKZmZm8rCNd\ntkcAcNNgjUajyCsRHsMwMBgMvEzAjUajKCsrg8vlgkKhgMPhgNlsTplUeapge1Swlf4lJSVwu928\nHMf2eDwpF5hfK8BI9e6bLD63Q67ns88+w4oVK/DVV19xvyfkdU0IsuhzEY/HMWTIENSoUQMzZsy4\n6sc0atQIO3fuhMPhwP79+/HYY4+hoKAAp06dQvfu3XH06FHeojyPx4MWLVpgypQp6N69Oy/PKWVs\nj4dUGj1/OZPJhHA4LFg3VrVaDYPBAIVCgUAggEAgIMuCN7n3uWAYBnq9HjqdDpFIBD6fT7DjkuzJ\nkVRrr1++D4Zer0+LwAIADh48CK/Xi927d/OatSgqKkLPnj2xZ88eAMCqVaswduxY5Ofno2bNmtzH\nCX1d45ssMhebN2/Gl19+ifXr16N169Zo3bo1Vq5cecnHlP8GZ2dnY8CAAcjOzsYDDzyAuXPn8voP\nwG6PvPzyyym/PQJcTAUqFIqUzWAolUqo1WpB27yHw2GUlpZyPy82mw02m41arycBwzDQ6XTc9zwW\ni6GkpARlZWWC9mHw+/3Q6XSSffOvLjaDUatWLQSDwbQILNxuN/bt28f7dsigQYPQsWNHHDp0CPXr\n18eCBQswevRoeDwe3HPPPWjdujXy8vIACH9d45ssMhdS9eyzz6KkpATvvfee2EtJilTNYNhsNng8\nnqQ3/FEoFNDpdNBqtVwTJqnPsZFL5oJhGGi1Wu7iLla2SKPRQKfToaysLKmfV2hmsxnFxcV4//33\nkzKuXUyxWAz5+fkYPnw4Xn31VbGXIxsUXCSA3R55/fXX0a1bN7GXkxSpFmBI5c1fqVRCq9VCq9Ui\nHo8jGAwiGAxKrkBOysFF+WAN+O+xarG/h2IFr0Ixm82IRqPw+XyCT1OVAqG2Q1IdBRcJ2rx5M/r1\n64cff/wRdevWFXs5ScEWqlX1yKYUORwOOJ1OSdU/lL/rVigUXC1IVY9ECkFKwQXDMNBoNNBqtVCp\nVIhGo1xQJqV/T7ZnhlS+b4mwWq1csz1WKgcYJSUl2LBhA7Zt24ZmzZqJvRxZoeCCB2+99RZWrFiB\nxYsXp01kazQaoVQqRb/jT4TBYAAAyRfcqVQqaLVa7mhjJBJBKBRCKBRK+kVUzOBCoVBArVZDo9Fw\nJxRCoZAs9v2FLhhOBpvNxm0vXS4VA4xwOIzVq1dj2rRpGDZsmNjLkR0KLngQi8Vw3333oWXLlhg7\ndqzYy0kavV4PjUZzSe97uWAnwcpxiqVKpYJGo4FGowHDMIjFYgiHwwiHw4K3XU5WcMHOp2Af5b/O\nUCgkuy0GOf+8MQwDm80Gn89XYXCUagHG1q1b0apVKyxatEjShZNSRcEFT86ePYs2bdpg5syZuOOO\nO8ReTtLodDrodDrZnZoxm82S2WpIFHtHr1KpuAsxezwwEolwDz5e6nwHFwqFAkqlEiqVinsAF4+f\nswFTqgzA0ul0UCqVsqpXYgMLr9dbqddKqgQYR48exYkTJ7B3796U6raaTBRc8Gjt2rV48sknsWrV\nKtxwww1iLydpNBoNjEYjXC6XLC4CSqUSZrNZdgFRVZW/YKtUKu5IZiAQ4LpIsl0VY7EYotEo4vF4\nhf+GlQ0uGIaBQqG44sHO3WDXwX7e8kFQKrPb7dyYdqlTKBSw2Wxwu91VGlwm9wCjtLQUa9euxaZN\nm7iZVqTqKLjg2cSJE7Ft2zZ8/vnnaTXESqVSwWKxoLS0VPL73+wbptTXKSSlUsld7C8PANggBLg4\nZ6b8r9lR2uWxgUL5j4vH41cELuV/na7YZmpS30pM9PUs1wAjEolg7dq1+Oc//4lnn31W7OXIGgUX\nPItEIujSpQu6du2KkSNHir2cpKrunU4yabVaqNXqlDjpIgYpnRaRK6vVCq/XK9ksjVarhcFgSDgT\nKccAY/v27WjcuDGWLVtGdRYJSp9b6yRRqVRYtGgR5s+fj507d4q9nKSKxWJwOp0wmUySHdhlNBpl\ntedNUo+Up6YaDAbodDpejmdXdVy72I4fPw6Xy4UvvviCAgseUHAhgPr16+Pjjz9GXl6eLKvDExGP\nx+F0Ork6DCkxGo3w+/2yqAshqSsWiyEUCkkuAGeH6/G5ZSOXAKOsrAy//fYbvvvuO9hsNrGXkxIo\nuBBIz549MXDgQOTl5Un6RSWUsrIyxONxWK1WsZcC4OKWjVarhd/vF3sphMDr9XJ9VsTGHpMNh8Nw\nu928P7/UA4xQKITNmzdj8uTJ6NChg9jLSRlUcyGgaDSKnj17ol69epgyZYrYyxGFRqOByWQSvdDT\nYrHA7/dL8s1NTqjmgj9SqP9hCzeFHuIGSLMGIxaLYfPmzbjjjjvw+eef03YIjyhzISClUolFixYh\nPz8fixYtEns5ogiFQigtLYXVauU6TCYbewyTAgsiJcFgEGq1WrRTZVqtljuSnYziUilmMPbs2QOb\nzYaPPvqIAgueUXAhMKvViuXLl+Odd97Btm3bxF6OKKLRKJxOJwwGgyipYLPZLEi6l5BEiVXcaTKZ\noNVq4XQ6k9pzQ0oBRmFhIYqLi/Hjjz9yw+4Ifyi4SIKsrCwsXLgQI0eOxMmTJ8Vejiji8ThcLhfX\n8S9Zdwk6nQ7hcFgWTYtI+mE7pyZrm0ChUMButyMajYo2F0gKAcaFCxewe/durFixArVr1xZlDamO\ngoskuffee/Hiiy9i2LBhkh+UJSSv1wuv1wu73Z6UN1SDwUA9LYikJSt7odFouD40Yhc2ixlg+Hw+\nbN68GfPnz0fbtm2T+rnTCRV0JlE8HsdTTz0Fl8uFOXPmpFUHz8sxDAOr1YpQKCRYsGUymRCJRK46\nxZFUDxV0CsNgMCAejwt20TeZTNwUYym95Se7yDMSiWDDhg14/PHH8c477wj++dJZ+l7dRMAwDObP\nn4+zZ89i9uzZYi9HVEJvk7DDvCiwIHLg8/mg1+sFeR2w2yClpaWSCiyA5GYwYrEYdu7ciebNm2Pq\n1KmCfi5CwUXSabVafP/99/jqq6+wYsUKsZcjOq/XC4/HA7vdzmtRFRVxErnxeDwwmUy8PZ9Op4PN\nZkNZWZno2yAVSVaAcfDgQYTDYXz99ddpnTVOFvoOi6B27dpYvnw5JkyYgF9//VXs5YguEomgpKQE\nWq0WFosl4edTq9WIx+OSnd1AyNWEQiFuamwi2C1HlUqFkpISWQyKEzrAOH78OIqKirBmzRpe3mPI\n9VFwIZKWLVvi66+/xj/+8Q/s3btX7OVIQllZGYLBIBwOB1QqVbWfx2w2UxEnkaVEizs1Gg3sdjt8\nPp/sXgNCBRgnT57EH3/8gTVr1qBRo0a8PS+pGAUXIurSpQvmzp2LIUOGAqhFVAAAHQhJREFU4M8/\n/xR7OZIQDAa54WfVeZPV6/UIBAJ09JTIUjQaRTQarXLDOYZhYLFYuKFjYveQqC6+A4zz58+joKAA\ny5YtQ8uWLXlYIaksCi5E1r9/f/zzn//E4MGDcf78ebGXIwlssWcoFILD4ah0FTnDMNDr9Wl91JfI\nX1VrL7RaLex2OwKBgOROg1QHXwFGaWkpfvnlF3z66afo3LkzjysklUHBhQTk5eXh8ccfx5AhQ2SX\nyhQSm8UwGAywWCzXraQ3mUw0Tp3IHnsk9XrdbNnaCo1Gg5KSEoRCoSStUHiJBhherxcbN27E1KlT\n0a9fPwFWSK6HgguJmDx5Mm699VY8/fTTCAaDYi9HMuLxOEpLSxEIBCo8UcIWwtH3jqQCv98PnU53\nzYBar9dztRWpeiqqugFGMBjEpk2bMGrUKOTl5Qm4QlIRaqIlIdFoFP3794dCocCsWbPouNRVmEwm\nqFQquN3uS6rg2c6DcqiMlzNqopU8arUaer3+kjbdKpUKZrMZoVAobbJ0VWm0FYlEsHHjRtx33334\n8MMPaRiZiOjqJSHsFNXz58/jjTfekP3eqRA8Hg/cbjcsFgu3L63RaLhCOEJSRTgchkKh4Kb6ms1m\nmEwmlJaWpk1gAVQ+gxGNRrF161a0atUKH3zwAQUWIqPMhQS5XC507twZ3bp1w7hx4+hFcg1arRZG\noxEKhQJ///03BWNJQJmL5GI7bMbjcXg8npSqq6iqijIYsVgMBQUFqFGjBn7++WfodDqRVklYlLmQ\nIJvNhrVr12L16tWYOXOm2MuRrGAwiEAggGg0CpvNllBvDEKkhh00FovF4PV60zqwAK6dwYjFYti+\nfTtsNht++uknCiwkgoILibrhhhuwbt06LF++HO+//77Yy5EkhmG4c/2lpaUwGo2wWq1Uq0JkTalU\nwmazQavVwul0wul0wmg0ir0sSbg8wIjFYtixYwdMJhPWrFnDa/t0khjaFpG4M2fOoHPnznj00Ucx\ncuRIsZcjKRaLBYFA4JI7OrbgLRKJwOPx0FYJz2hbRDgKhQImkwkKheKK4mSdTgelUplWtRYVOXfu\nHD766COsW7cOOp0OGzZsoLbeEkN5ZImrXbs21q9fj86dOyMej9PRqv9PpVJBoVBckSqORCJwOp1c\nG2S2qp6CDCJVDMNwp6A8Hs9VixbZo9h+v5+6z+JiZresrAwajQbr1q2jwEKCKLiQgbp16yI/Px9d\nu3ZFJBLBc889J/aSRGc2my85one5UCjEDUOz2+0IBoPw+XwUZBDJYBgGRqMRarUaXq/3uv0q2Lkj\npaWlSVqhNMViMUyaNAmHDh3Chg0bYLPZxF4SuQoKLmSibt262LBhA7p27YpoNIrnn38+bU+RaLVa\nhMPhSh09DQaDCAaD0Ol0FGQQSbg8qKhsV152yq9arZbt7JBExWIxTJw4EYcPH6YJpxJHlW8yUrt2\nbWzYsAErV67Eu+++m7YXSKPRWOW950AgwI2fttvtMJlMaRucEXEoFAqYzWbYbDaEw2E4nc4qnwBx\nu91pW7QYjUbx8ssv49ixY/jpp58osJA4KuiUoQsXLuCee+5B27ZtMXnyZCiVSrGXlDRGoxHRaBSB\nQCCh59FoNNxzeb1easBVSVTQWXVKpZILZr1eb8JZB75eA3ISDAbxwgsvwOVyYfny5WkbYMkJZS5k\nqGbNmsjPz8exY8fw7LPPps2bjEKhgEaj4eXrDYVCcDqd8Pv9MJvNsFqtlZ6+SkhlsH0q2IF6LpeL\nl+0Mr9cLg8GQNpm3srIyDBkyBAqFAitXrqTAQiYouJApi8WCVatWQaVSYciQIRUWN6YKs9nM+9TY\ncDgMl8sFj8fD1WVQEx5SXQzDQK/Xw+FwQKPRoKysDKWlpVy9BF+8Xm9a9L44d+4cBgwYgOzsbHz9\n9df02pQRCi5kTKvVYsmSJcjNzcUjjzyCs2fPir0kwbDdN4UqZItGo3C73XC5XFAoFHA4HFzPAUKu\nR6lUwmw2w263AwBKSkrg8XgEOzYaDAahVqtTeku0sLAQffr0Qb9+/TB37tyU/lpTEb1zypxSqcTs\n2bPxyCOPoE+fPigsLBR7SYIwm81JGS0dj8fh8/lQUlKCUCgEi8XCdUsk5HJststkMnFFw36/Pymf\nmz2amor++OMP9OvXDy+99BJee+21tNkCSiV0FDUFMAyDV199FRkZGejXrx8+++wztGjRQuxl8Uan\n0yEUCiW9eVAoFEIoFIJCoYBOp+NaDvv9ft7T3EQ+VCoVDAYDlEolAoEAXC6XKCe3IpEIYrEYNBpN\nSs0d2bx5M/Ly8jB//nz06dNH7OWQaqLTIilm6dKlePrppzFnzhx06tRJ7OXwwuFwoKSkROxlALjY\nY0Cv10OpVHKD09KpY2K6nhZRKpXQ6XRcjxWpBJgMw8But0vm9ZGoH3/8Ea+88gr+85//4K677hJ7\nOSQBFFykoE2bNqF///6YMmUKHn74YbGXkxCTyYRwOIxgMCj2Uq6g1Wqh1+vBMAyCwSD8fn/K9x5J\np+CCzVhptVrEYjH4/X5JZggMBgPi8XjStmOEEI/H8dlnn2HevHlYsWIFcnNzxV4SSRAFFylq7969\n6NmzJ3r37o2xY8fKshhKoVDAarVK/mLGMAy0Wi10Oh0XaKRqRiPVgwulUgmtVgutVstdsKUY2F7O\n4XDA6XTKMrgNBoOYNGkSdu3aheXLl6Nhw4ZiL4nwgIKLFHbhwgX069cPer0es2bNkl3xl9Vqhdfr\nlUT6ubLYQEOr1UKpVCIUCiEQCMjqa6hIKgYXarUaWq0WGo2Ga04lh4CiPI1GA61Wm5SiZz6dP38e\nzzzzDGrXro2FCxdSD4sUQqdFUljNmjWxdu1aNGrUCA8//DCKiorEXlKlqdVqxONx2V2U4/E4AoEA\nSktLuRMnbN8Di8XCZTeIeNjtDqvVCofDAZ1Oh2AwiJKSEpSWlsousAAuFh8rlUpZZSj37NmDhx56\nCPfccw++/fZbCixSDGUu0sS8efMwefJkzJkzB3fccYfYy7kuOad5r0WpVHJ3mAzDIBKJIBgMSnIf\n/1rkmLlgGAYajQYajQZqtRrRaBShUAjBYDCltq7YXhsul0vspVzXjz/+iAkTJmDOnDkYMGCA2Msh\nAqDgIo3k5+dj4MCBeO655zBkyBDJ3kGzRZI+n0/spQhKpVJx6Xjg4tHCUCiEcDgs2YueHIILtk28\nRqOBUqlEPB7nioLllgmrKrPZzAVOUhSLxTBjxgz85z//wdKlS9GqVSuxl0QEQsFFmiksLESvXr3Q\npk0bTJkyRXLNoVLtaF1VqFQq7u7aYDDA5/MhEokgHA4jHA5LIosjteCCYRio1Wruodfr4fP5uB4l\n6TaQTsqvH4/Hww0f++6771CrVi2xl0QERMFFGvJ4PHjiiSdw5swZfPDBB5J6kZvNZtltFQhFoVBA\npVJxF06GYbi78EgkgkgkkvSLp5jBhUqluuSh1+vh9/u54EsqAZjYpJj5+/PPPzFs2DDcfvvtmDt3\nLpetI6mLgos0FYvF8Prrr2P+/PmYNWuWJBpuyWnPWCwMw1xxkQXAFb9Go9FLHnwTOrhgixKVSiVU\nKhWUSiW3fccGVOyD3rquzeFwwOVySWJ7jW2M9dprr2HUqFGS3Y4l/KLgIs2tW7cOTzzxBAYOHIjn\nn3+eu1iJwWazwe12p10qmw8Mw1xyQWYfOp0OgUAA8XgcsVgMsVgM0WiU+zX7qOzbQHWCC4ZhoFAo\nuIdSqbzk//V6PQDA7/dfERyleo2EUNgtIjGnJfv9frz55pvIz8/HkiVL0K5dO9HWQpKPgguCc+fO\nYfDgwfB4PJg1axYyMzOTvga5ntOXi8sv8OUv8uyflccGJex/WWq1GqFQiLv7vPzPL//78XiceyQa\n2JCqEbNPzNGjR5GXl4ecnBx8+OGHsFgsSV8DERcFFwTAxW2S6dOnY8aMGfjXv/6F7t27J/Xzp+LR\n01QktYJOcm1idLiNx+P49ttv8frrr+Ptt9/G8OHDaRskTVFwQS6xZcsWPPbYY3jggQfw0ksvJeU0\nSSrMRkgXFFzIi8lkQiQSuWp2iW9erxevvvoqfv/9d3z99ddo3ry54J+TSBd16CSX6NixI3bt2oXT\np0+jb9+++PPPPwX9fAzDQKfTUWBBiAA8Hg8MBoPgn2f//v3o0aMHDAYDduzYQYEFoeCCXMnhcOD7\n77/H//zP/6Bnz55YunSpYNsVZrOZ6iwIEZDP54PRaBTkuWOxGD7//HMMHDgQkyZNwieffJKUYIZI\nH22LkArt3r0bTz75JBo0aIC33noLGRkZvD23SqWCyWSio6cyQtsi8mS321FaWsrr0dQ///wT48eP\nRyQSweeff46mTZvy9txE/ihzQSrUunVr7Ny5E61bt8Z9992H77//nrcshtlsFvWoHCHpwu128zYV\nORaL4bPPPkPPnj3Ru3dvbNq0iQILcgXKXJBK27VrF4YMGcJLFkOr1UKtVsPj8fC4QiI0ylzIl8Vi\n4TqaVldRURHGjx+PaDSKzz77DFlZWTyukKQSylyQSmvTpg1vWQyj0UiBBSFJ5PF4qp29YGsrevXq\nhT59+mDTpk0UWJAKUeaCVEsiWQyj0YhoNJqU43GEX5S5kDej0YhYLFal01nlaysoW0EqizIXpFqq\nm8Vgx2FTYEFI8nm9Xm6w2fVEo1F88cUXl9RWUGBBKosyFyRhu3btwrBhw2AymfDGG2/g5ptvvubH\nitmSmCSOMhfyV5l6p927d2PixIkwm834+OOPKaggVUaZC5KwNm3aYMeOHRg4cCAGDBiAN99886q9\nK9RqNQBQYEGIiILBINRqNZRK5RV/duHCBYwfPx4jRozAuHHjkJ+fT4EFqRYKLggvlEolRo0ahX37\n9sHv96NLly5XbJWYTCZqmEWIBFx+NJXdAunWrRtuuOEGHDhwAI8//jjNBSHVRtsiRBBbt25FXl4e\n9Ho93njjDbRu3RpKpRJer1fspZEE0LZI6jCbzQgGg/j1118xceJE2O12zJkzBzk5OWIvjaQACi6I\nYKLRKD788ENMmjQJjz76KJ599lkavSxzFFykjgsXLuDdd9/FunXr8K9//QuPPvooZSoIb2hbhAhG\nqVRi5MiR2L9/P7dV8vXXX1PNBSEiCgaDWLBgAbp27YpatWrhwIEDGDhwIAUWhFeUuSBJU1BQgHHj\nxuH8+fN46aWXcO+999IbmsxQ5kK+otEoli5dinfffRe5ubmYPn06srOzxV4WSVEUXJCkisfjWLVq\nFV5++WVotVpMmDABt912m9jLIpVEwYX8xONx/Pzzz5g2bRqsViumT5+OTp06ib0skuIouCCiiMVi\nWLx4MSZOnIimTZvixRdfRPPmzcVeFrkOCi7kZfv27Zg6dSrKysowbdo0PPTQQ5QtJElBwQURVSgU\nwvz58/H222+jU6dOGDt2LG688Uaxl0WugYILeTh48CCmT5+OAwcOYMqUKRg8ePBV+1oQIhQq6CSi\n0mg0GD16NI4cOYLc3Fw89NBDeO2113D27Fmxl0aI7Pz1118YM2YMBg4ciHvvvReHDh3CkCFDKLAg\nSUfBBZEEk8mE1157DQcOHIDJZELXrl3xyiuvoKioSOylESJ5hw4dwvPPP48ePXogKysLR44cwQsv\nvACtViv20kiaouCCSMoNN9yAGTNm4NChQ8jMzETPnj0xevRo7N+/X+ylESI5O3bswNChQzFo0CC0\natUKx48fx5QpU6ifDBEd1VwQSSsrK8O8efMwc+ZMtGjRAnl5ebj11lvFXlbaopoL8cXjcWzcuBGz\nZ8/GyZMn8eKLL2Lo0KHQ6/ViL40QDgUXRBYCgQA+++wzTJ8+HXXq1MGoUaPQpUsXqnxPMgouxBON\nRrFq1SrMnj0b4XAYEyZMwMCBA6FSqcReGiFXoOCCyEokEsE333yDqVOnAgDy8vJw//33095yklBw\nkXw+nw/Lli3DvHnzULNmTbzyyit48MEHoVDQrjaRLgouiCzF43GsWLECM2bMwJ49e/D4449j0KBB\nqFevnthLS2kUXCTP0aNH8e9//xtff/017rjjDowdOxZ33XUXZeuILFDoS2SJYRg8+OCDWLt2LTZu\n3IhYLIb7778fw4cPx4YNGxCLxcReIiFVFolEsGrVKgwaNAiPPPIIatSogd27d+OHH35A586dKbAg\nskGZC5IyvF4vFi9ejNmzZ6OsrAxDhgxBv3794HA4xF5ayqDMhTDOnj2LJUuW4IsvvkCjRo0watQo\n9O3bl7b7iGxRcEFSTjweR0FBAebMmYPly5ejR48eGDx4MFq2bEl3fgmi4II/sVgMBQUFWLhwIdav\nX49HH30UeXl5aNGihdhLIyRhFFyQlHbhwgUsWLAA8+fPh1qtRr9+/dCrVy80aNBA7KXJEgUXiTt6\n9CiWLl2Kb7/9FkajESNHjsSTTz5JvSlISqGaC3KFEydO4O6770ZOTg6aN2+OWbNmAQC++eYb5OTk\nQKlUYteuXZf8nalTp6Jp06a45ZZbsHr1ajGWfVU1a9bE+PHjcfToUXz66adwuVx46KGH0LdvX3z5\n5ZcoKSkRe4kkDZw9exYff/wxevTogYEDB4JhGCxduhR79+7Fs88+K4nAYujQocjIyEBubi73e5Mn\nT0a9evXQunVrtG7dGitXruT+TKqveSINlLkgVzhz5gzOnDmDVq1awePxoG3btli6dCkYhoFCocAz\nzzyD9957D23atAEA7N+/H4899hi2b9+OU6dOoXv37jh8+LBkj8qFw2H89NNP+PLLL7Fy5Up06tQJ\nffr0QdeuXakR0XVQ5qLy3G43Vq9eje+++w67d+9G7969MXjwYHTp0kWSsz42bdoEk8mEJ598Env2\n7AEATJkyBWazGWPGjLnkY+X2mifJRz8J5Aq1a9dGq1atAFyc+dGsWTMUFxfjlltuQVZW1hUfv2zZ\nMgwaNAhqtRoNGzZEkyZNUFBQkOxlV5parcZDDz2ExYsX48SJExgwYACWLFmCtm3b4sUXX8TGjRsR\nDAbFXiaRIb/fjzVr1mD06NFo3749Vq9ejX/84x8oLi7Gp59+im7dukkysACAO++8E3a7/Yrfv9r9\np9xe8yT5KLggFSoqKsLu3bvRoUOHa35McXHxJf0l6tWrh1OnTiVjeQmzWCwYMmQI1qxZg/3796N1\n69aYOXMmWrVqhby8PHz33Xe0dUIqdPbsWSxevBjDhg1Dq1atuCDi2LFj+OGHHzBgwABZZ8Tef/99\ntGzZEsOGDYPL5QIg79c8SQ4KLsg1eTwe9O/fHzNnzoTJZKrS35XjqYw6depg7Nix2LJlCw4fPoxe\nvXphzZo16NixI/r374+PPvoIx44dE3uZRGTxeBwHD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