{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "# Sage 9.2 on CoCalc\n", "\n", "https://wiki.sagemath.org/ReleaseTours/sage-9.2" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'SageMath version 9.2, Release Date: 2020-10-24'" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "pretty_print_default(True)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(n - 1\\right)} {\\left(x + 1\\right)} \\log\\left(x + 1\\right) + x + 1\n", "\\end{math}" ], "text/plain": [ "(n - 1)*(x + 1)*log(x + 1) + x + 1" ] }, "execution_count": 41, "metadata": { }, "output_type": "execute_result" } ], "source": [ "x,n = var('x,n')\n", "\n", "taylor((1+x)^n, n, 1)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}2 \\, x \\log\\left(x + 1\\right) - 2 \\, x + 2 \\, \\log\\left(x + 1\\right)\n", "\\end{math}" ], "text/plain": [ "2*x*log(x + 1) - 2*x + 2*log(x + 1)" ] }, "execution_count": 53, "metadata": { }, "output_type": "execute_result" } ], "source": [ "ex1 = taylor((1+x)^n, n, 1) - (1+n*x)\n", "ex1" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}2 \\, x^{2}\n", "\\end{math}" ], "text/plain": [ "2*x^2" ] }, "execution_count": 54, "metadata": { }, "output_type": "execute_result" } ], "source": [ "ex1.subs({log(x+1) : x})" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{1}{2} \\, x^{2} \\log\\left(x + 1\\right)^{2} + x^{2} \\log\\left(x + 1\\right) + x \\log\\left(x + 1\\right)^{2} + x^{2} + 2 \\, x \\log\\left(x + 1\\right) + \\frac{1}{2} \\, \\log\\left(x + 1\\right)^{2} + 2 \\, x + \\log\\left(x + 1\\right) + 1\n", "\\end{math}" ], "text/plain": [ "1/2*x^2*log(x + 1)^2 + x^2*log(x + 1) + x*log(x + 1)^2 + x^2 + 2*x*log(x + 1) + 1/2*log(x + 1)^2 + 2*x + log(x + 1) + 1" ] }, "execution_count": 52, "metadata": { }, "output_type": "execute_result" } ], "source": [ "simplify(taylor((1+x)^n, n, 2))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(n - 1)*(x + 1)*log(x + 1) + n*x + x" ] }, "execution_count": 21, "metadata": { }, "output_type": "execute_result" } ], "source": [ "upper = taylor((1+x)^n, n, 1)\n", "simplify(upper - 1 + n*x)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "execution_count": 25, "metadata": { }, "output_type": "execute_result" } ], "source": [ "n = 2\n", "p0 = plot(lambda x : (1+x) ^ n, (x,-1,2) , color='green')\n", "p1 = plot(lambda x : f(x=x, n=n), (x, -1, 2))\n", "p2 = plot(lambda x : 1+n*x, (x, -1, 2), color='red')\n", "show(p0 + p1 + p2)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/ext/sage/sage-9.2/local/bin/python3\n", "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n" ] } ], "source": [ "#%%python\n", "import sys\n", "print(sys.executable)\n", "print([1..10])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2*x + 1\n", "7\n", "2*pi + 1\n", "x + y\n" ] } ], "source": [ "var('x y')\n", "ex1 = 2*x+1\n", "print(ex1)\n", "print(ex1.subs(x = 3))\n", "print(ex1.subs(x = pi))\n", "ex2 = ex1.subs(x = (x + y - 1) / 2)\n", "print(ex2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7baa69b64d5548f6805c189beb4507dd", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 2 widgets\n", " x: Dropdown(description='x', options=(1, …" ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "@interact\n", "def f(x=[1,3,4,5,4,2,3,1], y = (-10, 10, .1)):\n", " print(f\"x={x:} y={y:}\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## NEW: 3D Animations!" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "x, y = var('x, y')\n", "\n", "def build_frame(t):\n", " \"\"\"Build a single frame of animation at time t.\"\"\"\n", " e = parametric_plot3d([sin(2*x - t), sin(x + t), x],\n", " (x, 0, 2*pi), color='red')\n", " b = parametric_plot3d([cos(x + t), -sin(x - t), x],\n", " (x, 0, 2*pi), color='green')\n", " return e + b\n", "\n", "frames = [build_frame(t) for t in (0, pi/32, pi/16, .., 2*pi)]\n", "animate(frames, delay=5).interactive(projection='orthographic')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## eigenvalues with errors using Arb" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":3: FutureWarning: This class/method/function is marked as experimental. It, its functionality or its interface might change without a formal deprecation.\n", "See https://trac.sagemath.org/30393 for details.\n", " mat.eigenvalues()\n" ] }, { "data": { "text/plain": [ "[[1.56705069109823 +/- 8.92e-15] + [+/- 5.27e-15]*I, [0.2085342186110 +/- 2.01e-14] + [+/- 5.27e-15]*I, [3.28792877e-6 +/- 7.64e-15] + [+/- 5.27e-15]*I, [0.00030589804015 +/- 6.67e-15] + [+/- 5.27e-15]*I, [0.01140749162342 +/- 5.68e-15] + [+/- 5.27e-15]*I]" ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "from sage.matrix.benchmark import hilbert_matrix\n", "mat = hilbert_matrix(5).change_ring(CBF)\n", "mat.eigenvalues()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Polyomino tilings" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hUKFYCCGwsrLCwoULMX/+fFmf4hEREXjxxRdha2sr2TcAGDduHF5//XU4OjrK5tvjhCYmAjrj7OyMl156CRkZGUhJSUFdXV2vR3qF/+/Xrx+efvppTJo0SZEpUktLS0RGRmLkyJE4cuQICgsLwXFcrwu0QoMcNWoUnn32WcUaZEBAANavX4/jx48jMzMTer2+12sE/93c3DBz5kwEBAQo4tvjgiZFA/yyNhAcHIwbN27g4sWLKC4u7vL0oK2tLby9vREUFITAwEBV1hO8vLwMoXKN2dEgCD47OxtLly5V1DcbGxtRx5MF/+/cucMEYwSaFY0Ax3EPpc1uaGhAdXU12tvbDQHQtTbubmlpQWxsLFauXAmdTmdudxgyo3nRdMbOzk7zu20ppSguLmZhjx5TNDcRwGBoHSYaBkMkqg3PhLTUQppqLfFgQlNXV1dzu9OneBLrVTXRFBQUAICm02fHxsZixYoVkq9/ElOiPwn12hnVRBMVFYXY2Fj4+fkZMgJrhWvXrmHlypWG9N5SeRJToj8J9doZ1UTj6uoqq9qVQGuV3hd4EuuVTQQwGCJhomEwRNLnFjf7AhzHITAwkG2pNxKe53Hv3j1UVVWhvb3dcCxh4MCBmkwrrz2PHgOsra2xfPlyc7uhafR6PbKzs5GZmYnS0tIuN5ZyHAc3NzcEBQVh/PjxsLW1NYOnj8JEI5GbN29iwIABuHfvnlG7nIXPDB48GHfu3MHAgQMV862urg6jRo3C1atXjUr4JHzG3t4eWVlZip5S5XkeqampOHXqFFpaWnr0j+d53L59Gz/++COOHTuG4OBgzJgxAzY2Nor4ZixMNCJpaWlBUlISMjMzDQ3LmHUZ4TNFRUXYvHkzpk+fjoiICFmHcJRSXLx4EYcOHUJbW5vhd8ZcB3Skkk9ISMCVK1ewcOFCODg4yOYb0JHReu/evaioqHik7N78o5QiIyMD169fx6JFi2Q5WCgVNugWQX19PbZs2WLIjyllQyalFDzP4/jx4/juu++MOu9irN2jR48iISEBra2tJm0WvXXrFr788kvZ0rUDHYugX375JW7fvi3ZBqUUDQ0N+Prrr82arp2Jxkiampqwfft2VFZWyrZ7OTc3Fz/88IMsOwh+/PFHpKamyuDVL1mnt27diqqqKpPtFRUVITY2Fu3t7SbfO+H6Q4cOISMjw2TfpMBEYwSUUiQkJODevXuybvenlCInJwenT582yU52djbOnDkjk1cdUErR3NyMb7/9Fu3t7ZLtNDY24ttvvwXP87IflTh48KBZEk0x0RjBlStXkJOTo9j5mJMnT0oetjQ0NODAgQMye9QBpRR3797FqVOnJNs4dOgQmpubFbt3e/fulW2IayxsIqAX2trakJiYqHg5Bw4cQElJiejrgoOD0dLSooBHv5CSkoKTJ08qWoYUKKW4d+8e0tLSEBERoVq5rKfphStXrqC5uVnRMnielyQYALh48aKmT4iqscCblpam6s5yJppeSE9PVyWiv9TGZcr7hrGYIko1GnNdXR1u3LiheDkCTDRdUFpaipUrV2LQoEGoqKhQ5Un+JJ3BkRuO45hozEl1dTUiIiJgZWWFzZs3m9sdhhHwPK/qLBoTTSf++te/wsfHB1u3boWDg4Pmky0xOrh9+7ZqvTWbPevEvn37EBUVhWXLlqGtrQ3jxo1ju5X7ADzPo62tTZU4c6w1dOLWrVvYtGkTAgICsGTJEiaYPoRas4isRXSC53kEBwfjww8/ZJmn+xhqpFIEmGgewdPTE6NGjQLQkXmAzWr1DZydnVXLCcpE04mIiAjk5OQAYCnA+wqEEFnzBvUGE00nfvOb3+Ds2bP48MMPce/ePdWeXlJn6djsXse7zODBg1Urj4mmE6GhoYiLi8OuXbswduxYw9kZpZH6EqvGy68p73VqiNrKygpjxoxRvBwBJpoumD9/Pi5fvozm5mZs3bpVlYqXekrS399fcf9Mea9TWtSEEIwbN07VlCZsnaYX+vfvj4iICJPPvPRGVFSUYQJCDOXl5fjXv/6lgEcdEEIwYsQIPPfcc6LF2d7ebjgBqpR4rKysMHXqVEVsdwfraYxg2rRpGDBggCJPdEIIRo0aJUkwQMds35QpU2T26hesra0xb948Sd/dwsICMTExivaEc+fOVT2pFxONEVhaWmLp0qWwtLSUtQEIWZTnzZtnkp2pU6fCx8dH9sZJCEFMTAzs7e0l23B3d8esWbNk9OoXxo4di6CgIEVs9wQTjZF4eHhg5cqVsglHCIi3Zs0ak+N5WVhYYMWKFfDy8pJNOIQQLF68WJbs2OHh4YiMjJTBq18IDAzEokWLzDJ7yEQjAl9fX7zyyitwdnY2ubJ8fX3x6quvwsnJSRbfhHTtps4iEUJga2uLF198EWPHjpXFNwCYMmUKFi5cCEtLS8mzccI9j4iIwNKlS1VbDugMmwgQiYeHB958800kJycbglmIecm1srLCrFmzEBISIvtT0traGjExMRg9ejT27duHxsZGo4IFAr8EMxwzZgzmzJmjSAaFCRMmwN/fH/v27UN+fr5RQRaBX4IZOjs7Y/HixaouZHYF62kkYGlpiZkzZxqC2HWGUtptuKK2tjZMnDhR0WHFiBEj0NjYaPDFGITGGxMTo2jKEScnJ6xateqhMntD+A7r1q0zu2AAJhpFaG9vR0ZGhipHkfsiUh8YWtk8qw0vHjP0ej0SExNVDy3EUAcmGgZDJEw0DIZImGgYDJEw0aAjuPmDfzIeD5SqV7ZOg440EMKfpoQ3TU9PR3p6OjvtqRHkqtfOMNEAhjzzpuabDwsLQ1hYGJqbm7FhwwbTHWOYhFz12hk2PMMveeaVXNRjqI9S9cpEw2CIhImGwRAJe6dRAJ1Oh/fee08z2z4Y8sJqVSKtra3d/h8hBBYWFt3usVJ6ds2Uo8X19fUyetI19+7dk3RdYWGhzJ5Ig4lGAvn5+fj8888lbzzcsmULKisrZfaqg/r6euzevRuA+I2RhBBs3LgRly5dUuRMP8/zOHPmDDZt2iTJt23btuHAgQOKZ37rDTY8EwGlFCdOnMCpU6eMPqfSFRUVFdi0aROio6NlPehVWFiIXbt2GXpBsf5RStHS0oK4uDjcuHED0dHRsh30am5uxjfffIPi4mJJ1wvf5cKFC7hx4wZWrVoFV1dXWXwTC+tpjIRSiqSkJEPSVlOzg/E8j7179+LixYuy+FdQUICdO3eitbVVll4iOzsbu3fvluV4Q3NzM7Zt2yY5ReKDUEpRV1eHr776SrHeujeYaIwkLS0NaWlpstuNj483rFxLpaqqCt98842saccppbhx4wYOHz5ssp3vvvsOd+7ckdW3lpYW7NixQ/F8qF3BRGMElZWV+PHHHxWxTQhBXFxcjxMLPUEpRXx8PPR6vSLvIefPn8fNmzdNuj4/P19233ieR319PZKSkmS1awxMNL1AKUVCQoJiwe6E4caxY8ckXX/+/HkUFxcr5h8hBPHx8WhraxN9bW1tLY4cOaKAVx1QSpGVlWWSqKXAJgJ6obi4WJaxeE9QSpGRkYH09HTR1yodKI9Sivr6enz44YeSrlc6xBIhBKdOncLQoUMVLedBWE/TC+np6aosUkpdu6mrq5PZE3lROpYzpRSFhYW4e/euouU8CBNND7S1teHatWuqbPWX2rhYqo2Oe3D58mXVymOi6QE1MwZLRa08k1qGUorS0lLVymOi6YHy8nJzu8AwkrKyMpaoVgvU1NSwTZd9hObmZtVCZrEW0QMs2F/fgolGA5grwDZDGpaW6qygMNH0gJOTk+YnAhgd9OvXj4lGC7CU6H0HOXPz9AYTTQ+4u7trfiKArdN03ANvb2/VytN2izAzlpaWGD16tKaFo8Y0q9aFSSlVNY2gdluDRggLC1PlvUbqpIOjo6PMnjyKKcJUY++Zv78/BgwYoGg5D8I2bPaCt7c3fH19UVJSoph4CCEIDQ1FVFSU6GszMjJw4MABBbzqgBCC/v37Y/369bCyshJ1bV1dHT777DNJO6SNhVKqaHbrrmA9TS8QQrBo0SLFhmhChmepiVyDg4MxePBgxZ7olFIsXrxYtGCAjh3Ys2fPVsCrDgghCA4Ohr+/v2JldAUTjRG4uLgoltYbgORGCXQ0nOjoaFhZWSkinLCwMJPCuk6YMAHDhg1TJF27g4ODovXSHUw0RhIaGiprEG2BmJgY+Pr6mmTDyckJK1eu7DFslBQCAwMlDRkfhBCCZcuWwdPTUzbfOI5Dv379sHr1auh0Ollsiipf9RL7MDNmzMAzzzwDwLQXXI7jYGlpiWXLlpmcwlzAx8cHa9asgY2NjSyNc/z48Vi6dKksw1Jra2usXr1alkDkwnD2tddeg4uLi8n2pMAmAkRACMHUqVPh5+eHuLg41NTUiL6eUopBgwYhOjoazs7Osvo3aNAgrF+/HomJicjOzhYdZooQAhsbGyxYsACBgYGy+qbT6bBq1SqcO3cOR48e7Tb7dXcI6dPDw8MRGRkpeTgrB6ynkYCvry/eeust0dcJjeSll16SXTACtra2WLp06UPlGQulFOvXr5ddMAKEEISFhWHdunUIDQ01NPzuejPh94QQBAYG4rXXXkNUVJRZBQOwnkYyPVUcpRStra2wtrbucqik5cVCW1tbxctwcnLCnDlzMGPGDFy/fh2lpaUoLS3FvXv30N7eDo7j4ODgAG9vb3h5eSEwMBD29vaK+2UsTDQK0NLSgg0bNuDdd9+FjY2Nud3RLNbW1ggKClJ1NV8O2PCMwRAJEw2DIRImGgZDJKq901RWViIpKQl+fn6ay2157do1ACwluhSexHpVTTRJSUlYuXKlWsVJgqVEF8+TUK+dUU00wmpwbGysYusAUmlqakJBQYHJW0aexJToT0K9dkY10Qhdd2BgIIKDg9Uq1miU2Ff2JPAk1iubCGAwRMJEw2CIpM/sCGhqakJZWRnKy8tRXV1t2G7h6OgILy8veHl5wc7OztxuAuiILbBo0SLVQgox1EXTtUopxa1bt5Ceno7c3FwAHfu2hN27wp/CxkR/f3+EhYVh+PDhZg2GYWFhgaCgIE0H5GBIR7OiuXv3Lvbu3YuKioqHGt+DIum8i7egoAD5+flwcXHB4sWLMWjQIEV8a21tNWQu62r7PSGky0AZhBBwHIezZ88iPDxcsY2b2dnZsLGxEZWPUth6/91332HevHma6bW1iOZEQylFamoqjh07ZmiMxq57CJ+vrq7Gli1bEBERgcjISFmf+KWlpfj+++9x//79h8o01r/29nYkJSUhOzsbS5culTWaTEtLCxISEgyLemIQ7vH169eRn5+P6OhojBgxQjbfHic0NX4Q0o4fPXrUpEzFwnU//fQT9u7dK9tiY35+PrZt24b79++bHG+stLQUW7ZsQVVVlSy+NTU1Ydu2bbh+/bpJdiilaG5uxrfffousrCxZfHvc0JRokpOTZU87np2dLUuIo7KyMnzzzTeiTxx2h5DLcvv27aivrzfJll6vR2xsLG7fvi1r8ECpvdbjjmZEU1hYiJSUFEVsZ2Zm4urVq5Kvb2trww8//CCbYASEzM4HDhwwyW5ycrJiSY3i4+M1n9dTbTQhmtbWVsTFxSl6onH//v1oaGiQdO2JEydQU1OjSKOklCInJwdXrlyRdH1paSl++uknmb36hba2Nuzbt4+lKXwATUwEXLhwAbW1tYqW0dLSgo8//ljStWIDVEjh6NGj2Lt3r+jr/Pz8FPWPUoq8vDwUFRVh8ODBipTR1zB7T0Mplf09prtytIzUIVBBQYHi343jOKSnpytaRl/C7KIpKCgQHQpJbbQcmV+NBVSe53Ht2jU0NjYqXlZfwOyiKSws1HR0FrWQKky1zu5QSlFSUqJKWVrH7KIpKysztwvdItcayuMAIUTTdaUmZheN3GsLctHS0oK8vDxN+mYu7t69a24XNIHZRaNk7hJTSExMxMCBA9nQ8WeEAIgMDYhGi43y8uXLKC8vh4+Pj7ld0RRarCtzYHbRqBEGVQy1tbU4fPgwYmJiJKf0exzhOI7tfP4Zs4vG29tbU+dOysrK0NDQgM2bNyM2Ntbc7mgGSik8PDzM7YYmMPuOAE9PT1y8eNHcbhgYMmQI3nzzTQBsOPIglFJ4enqa2w1NYPZHfEBAgLldeAidTgd3d3e4u7tj4MCBANRZ3NRSb9sV/fr1g5eXl7nd0ARmrykXFxcMGTJE0091NXyTukipxnsXIQQhISEs5sHPmF00APDUU09pej1E6XCrHMdJ3gw5YcIExUVNCMHEiRMVLaMvoYlHx7BhwzBixAjk5uYqIh5CCLy9vfHyyy9LGgZdvXoV33//vex+Pci8efPg5uYm+rrGxkZkZ2crGod62rRpsh7L7utooqchhGD+/PnQ6XSKPDU5jkN0dLTk94ZRo0Zh1KhRij3RIyMjJQkG6JiyX7hwocwedcBxHNzd3TF58mRF7PdVNCEaALC3t8fy5cvBcZzsjTMmJgYDBgwwycaCBQvg5uYmu2+jR4/GpEmTTLIxcuRITJ06VSaPOiCEoF+/fnj++ec1P0mhNpq6G35+fnjxxRdhYWFhcuMU4qMtWbIEo0aNMtk3GxsbrFmzBu7u7rIJZ/To0Vi8eLEsjXL69OmYMmWKDF513Dt7e3u8/PLLcHJyksXm44SmRAN0rJOsXbsW7u7ukm0QQuDs7IxXXnkFY8aMkc03W1tbvPzyywgNDTWUIxaO42BhYYGoqCgsWbJEttkvQggiIyOxdOlS2NjYmCTsESNG4PXXXze5d35c0cREQGcGDhyItWvXIjU1FadPn0Zzc7PRR3qtrKwQHh6OadOmKTJFam1tjTlz5iAwMBCHDx/G7du3DYH2ekLw39/fH3PmzFGsQY4ePRp+fn44cuQIrly58lBwxe4Q/HdycsKMGTMwevRoTS8BmBtNigboqMiIiAiEh4fj6tWryMrKQmlpaZc7bS0tLeHp6Ylx48Zh7NixsLa2Vtw/Pz8/3L59G4BxayxCw71586biT3A7OztcunTJ6M8L/tfU1MjaMz+uaFY0ApaWloa02ZRS1NTUoKqqCu3t7bCwsICjoyMGDBigqSdja2srvvvuOyxbtgw6nc7c7jBkRvOieRDhXcXZ2dncrvQIz/PsANtjjOYmAhgMrcNEw2CIhImGwRCJau80wt4oLQbUfjALsKurq7nd6VM8ifWqmmgKCgoAQNM552NjY7FixQrJ16enpyM9PV21WGRa4Emo186oJpqoqCjExsbCz89P8a32Yrl27RpWrlwJPz8/k+yEhYUhLCwMzc3N2LBhgzzOaZwnoV47o5poXF1dZVW7Emit0vsCT2K9sokABkMkfWpxs6/AcZzmj3BrCSG5lbDTg+M4ODg4wMXFRZP3kIlGAaytrbF69Wpzu6FpeJ5Hbm4uMjMzUVxc3OXJUysrK3h5eWHs2LGq7Sk0BiYaiRQXF8PLywtlZWWidjkPHz4c1dXVim4FamxsxIQJE3Dx4kVRu5xdXFxw7do1BAYGKuYbpRQZGRk4efIk6uvre9y93tbWhsLCQhQWFiIpKQlhYWGYNm0arKysFPPPGJhoRNLW1objx4/j7NmzhqGDmF3ON27cwK1bt/Dss88iNDRU9uHHtWvXsH//fjQ3Nxu9903wv6qqCt999x1Gjx6NuXPnyh79tLq6GgkJCSgsLDT8zlgf29racObMGWRnZ2Px4sXw9fWV1TcxsIkAEQhpx4XMbVI2ZFJKodfrcejQIcTFxcm2pkMpxcmTJ/Hdd9+hqanJpM2iV69exebNm1FdXS2LbwBQUlKCzZs3o7i4WLINSilqa2uxbds2swaYZKIxkpaWFuzYsQPl5eWy7V6+fPky4uPjZbGXkpKC5ORk053CL+nav/rqK1lyoZaVlWHHjh1obW01+SEhDDfj4+NFnRmSEyYaIzlw4IAiuXQuX76Ms2fPmmQjNzdXNsEI8DyPhoYG7N6926SG3tzcjF27dkGv18t+7xISEgwHAdWEicYIrl+/bjg6rATHjh1DZWWlpGubmpqQkJCgyNQspRTl5eU4c+aMZBtHjhxBQ0ODYvcuLi4O7e3titjuDjYR0At6vR779+9XtAxKKQ4ePGjYxyWG0NBQk99heuPEiRM4duyYYvalwvM8bt++jXPnzuGpp55SrVzW0/TC1atXFc9qzPO8JMEAQGZmpuInRE2xr0bMtLS0NFVPyTLR9EJ6eroqq9JSG5der5fZk0cxpUGqseO7pqYGN2/eVLwcASaaHmhsbERpaakqT7En6TiB3HAch9zcXPXKU62kPkh5ebm5XWAYAc/zKC0tVa08JpoeKC8v1+SGQcaj3L59W7XemommBxobG5lo+gjt7e1oa2tTpSwmmh5g7xl9C7Vm0JhoekArW9EZxqHW7mcmmh5wc3NjvU0fwcnJSZX8owATTY+wbMZ9AyE9pFow0fSAi4uLasE2pE44sCxlHe8yUhP9SoHd8R4QshqrMYMm9SVWjeGj1oVpYWGBsWPHqlaetu+GBggJCVFlVsbe3l7Sdb6+voqLWsvvdRzHYdy4cbCxsVGtTLbLuRccHR0RHh6O9PR0RcUzc+ZMjBs3TvR1JSUl2LJliwIedcBxHPz9/bFixQrR4tTr9fjiiy9QVVWl2L2zsLCQLdeosbCexghmzJgBR0dHRZ7ohBAEBAQgKChI0vWDBg3CpEmTFOttLC0tsXDhQkn2LS0tsXjxYgW8+oWoqCjVk+ky0RiBlZUVli5dKvvYXsiivGDBApMa/TPPPAMPDw9FhLNw4UI4ODhIvt7b2xuRkZEyetQBIQQjR45EcHCw7LZ7g4nGSLy9vfHCCy/Ikq4d6Kh0Ozs7rFmzBv379zfJlpWVFVauXAk3NzdZhTN//nyMHj3aZDsRERGIiIiQwaMOCCEYMmQIlixZYpZtTkw0Ihg6dCjWrFkDe3t7kyvLw8MDr776qmxJa4V07QEBASbZIYRAp9Nh2bJlCAkJkcU3QghmzpyJ2bNng+M4yT22cM9DQkLwwgsvKJK92xjYRIBIfHx8sG7dOvz44484f/680anagY5KJ4QgMjISkyZNkn24Z2Njg+effx5XrlzBwYMH0dLSYvS1QsDAgIAAzJ8/3+TeryvCw8MxdOhQxMXFoayszOh7J3zO3t4e0dHRGDJkiOy+iYH1NBLQ6XSYN28egK7XVyil4Hn+kf8Tfh8REaHY2gchBGPHjhUlGOCXaeXnn39eEcEIuLq64rXXXgNg/NqU8Llf//rXZhcMwESjCDzP4/Lly6pHSZEDNd4RpJZhruFYZ5hoFKCtrQ1xcXGqnN9nqA8TDYMhEiYaBkMkTDQMhkiYaPBLWu+uEgsx+i5K1as2piPMjBDdsqCgwKSV6ycxJbqWkateO8NEAxhSZrOU6I8XctVrZ9jwDL+kzGYp0R8vlKpXJhoGQyRMNAyGSJhoFECn0+F3v/sdi5v2mMJEI5GetsgQQtCvX79uN2WqmUtFLGpMu0vN46mVgPRMNBIoLS3Fpk2bRF8nbFTcsWMHampqZPaqg6amJsTFxT1UnrEQQrBx40bk5OQo4RoopcjIyMDnn38u2jeO4/Dll1/i6NGjZt/Tx0Qjkp9++gn//ve/JaULF3qYoqIifP7557I3zrKyMmzcuBGXL19+qDwx/jU2NuLbb7/FgQMHZF1vam1txTfffIMDBw6gra1NtG+CL6mpqfjiiy8Ue+gYAxONCE6cOIEff/wRgOnZwfR6PXbv3o2rV6/K4ltpaSm2bdsmW/7NjIwM7N27VxbhtLa2YufOnbJkK6OUorq6Glu2bDGbcJhojCQjIwMpKSmy2qSUYs+ePSguLjbJTm1tLXbu3Cl72vHs7GzDQ0IqwneUM6Mcz/NobGzE9u3b0draKotNMTDRGEF1dTUOHz6siG1KKeLi4iTnVqGUIiEhAa2trYpMMKSmpqKwsFDy9RcvXkRubq7svvE8j9raWhw9elRWu8bARNMLlFLs27dPsf1klFLU1NQgOTlZ0vVZWVnIz89XbEaOECL5QF19fT0OHTqkgFcdUEpx/vx5yZmxpcL2nvVCWVmZ4pVCKUV6ejrOnDkj+lqlA+VRSlFbW4sPPvhA0vVKH58mhODUqVOy7y/rCdbT9MK5c+dUCQAudRpVjZdhUxq+0mtSlFLcunULVVVVipbzIEw0nfjoo48QGhqK/v37w8PDA5mZmZre6q/ljAZqQQjBpUuXVCuPDc86cfLkSaxbtw6hoaG4e/cuTp48aW6XekTrDVoNKKWqpkRnounEg7Nk58+fN6MnDDEIU9pq9LxseNYD1dXVmk9oxOigqalJte01rEX0QHt7u9n3OTGMh4lGAxw/fpy9M/Qh1IrAyUTTDW+//TaysrJUS7PNMA2dTsdEYy4opVi/fj327t2Lv/zlL+Z2h2Ek3t7equWqYbNnnVi3bh2++eYbJCQkwMfHR1QqDXOgdf/UgOM4eHl5qVeeaiX1ETZt2oTa2lpMnz4dPj4+qkX/l/qUfNIFA3Rs3pSas1QKTDSdoJQ+9PPxxx+r8l4jVTRK5pKRAzX2nvn6+sLNzU3Rch6EDc96wdfXF15eXigvL1d0J3FwcLAhUZQY0tLSFDu2AHT4Zmtri1//+teiA4XU1tZi48aNik4FU0oxefJkxex3BetpeoEQgujoaMWemEKG55kzZ0q6PjQ0FIMGDVLMP0opFi1aJCmyjqOjo+TvZQxC1jdT84yKhYnGCNzc3DBjxgxFbFNKER0dDZ1OJ+l6juMQHR0tW9bpBxF6QFMaZVhYGAYPHqyIb3Z2dpgzZ46sdo2BicZIJk2ahNDQUNntLliwwOQ8kgMGDMALL7xgSIQrB0La8blz55psZ/ny5XB1dZXVN51Oh9WrV5sllDATjZEQQjBnzhw8/fTThn+bYovjOCxatAjBwcGy+DdkyBCsXLkSVlZWsuyXGzlyJJ5//nlZJkH69euHl19+WZZpYaGHeeWVV1R9+X8QJhoREELw7LPPYsWKFbCzs5MsHHd3d/zqV7/C+PHjZfXP398f69atg7+/PwDxwuY4DtbW1li0aBGWLVsm6wp7v3798MorryAyMhIcx4kWtvBdxo8fj3Xr1plNMAATjSSGDRuGdevWSZ5NW7t2LQYOHCizVx04ODhgxYoVAMSv4fA8j3Xr1mH8+PGKTCxwHIcpU6bgjTfewNixYw29WHcCenC4OWTIEKxevRoLFy6EjY2N7L6JgU05S6SnihPWeLp7x1D6uIEpDd7BwUFGT7rGzc0N0dHRmDVrFrKzs1FaWoqSkhJUV1eD53lwHAd7e3t4e3vDy8sLo0ePhrOzs+J+GQsTjQK0tLRgw4YNePfdd83+VNQytra2CA0NfWiCRa2DZKbAhmcMTaF1wQBMNAyGaJhoGAyRqPZOU1lZiaSkJPj5+Wkut+W1a9cAsJToUngS61U10SQlJWHlypVqFScJlhJdPE9CvXZGNdEIYUNjY2MRGBioVrFG0dTUhIKCAkRFRZlk50lMif4k1GtnVBON0HUHBgbKtnVETuR8Ej1JPIn1yiYCGAyRMNEwGCLpMzsC9Ho9KioqUF5ejurqauj1elhYWMDR0RFeXl7w8PDQTApyS0tLzJ49m4V/ekzRtGiEwNbnzp3DlStXDLNSD+7denCf14gRIxAWFgY/Pz+zrixbWFggNDSUhbR9TNGsaKqrq5GQkIDCwkJwHPfQNG5XU7qUUuTm5uL69evw8PDA4sWLFdtJrNfrkZKSAo7jDKJ9EEJIt72MtbU1MjMzFdtJDAB5eXmwt7dHfX290SGehM8lJCQgKiqK7ZnrAU2KJiMjA4cPHzaIw9h1D+Fzd+7cwebNmzF9+nRMnjxZ1sZ5+/Zt/PDDD6isrJR0fWtrK/bt24crV64gJiYGdnZ2svnW1taGxMREZGVlGb6zsccDhM9dvHgRN27cQExMjMknSh9XNDd+OHHiBA4cOAC9Xi95kZDnefA8j+PHj+PAgQOyRZEpKSnBV199hXv37plsq6CgAFu2bMH9+/dl8KxjZ/XOnTtx8eJFANLjoVFK0djYiNjYWNnStT9uaEo0P/30k+xpxy9cuICkpCST7dy5cwc7d+5EW1ubLCIUshNv377d5G0e7e3t2LVrF0pKSmTxTRhy/vDDD8jLyzPZ3uOGZkRTWlpqcs767khLS0Nubq7k69vb2/H999/LJhgBnudRXV2NxMREk+ycPn0ahYWFssdlo5Riz549aGhokNVuX0cTotHr9YiLi1M0tti+ffskP9FTUlJQWVmpSLBASimuXLmC69evS7q+oqJC0RSHLS0tJov6cUMTEwEXLlyQ5T2hO4Rx+t/+9jdJ16sxdXz48GHs3r1b9HVKv6xTSnH16lWUlJRg0KBBipbVVzB7T0MpRXp6uirlmONaY6mtrZV03a1btxT3j+M4nDt3TtEy+hJmF01xcbGivYwcqCEaqUNTNRZxeZ7HlStX2HmjnzG7aAoKCvrEuXClMWWKWA14nkdJSYkqZWkds4umrKzM3C4wjIAQgvLycnO7oQnMLpqKigqWmKiPcOfOHXO7oAnMLprW1lZzu8AwAkopWlpazO2GJjC7aBh9B/bu2YHZRWNra2tuFxhGQAjRXLQZc2F20Xh5ebEnWB/Bw8PD3C5oArOLxtPT09wuMIyAUqpq2nEtY3bRDBs2jM2eQfpWHbV6aZ1Ox0TzM2YXjZubmyI5GfsaUs8OqbEvTsi9aWVlpXhZfQGziwYAwsPDNd3bSE0iayyEEHh7e0u6duzYsao8cCZOnKh4GX0FTexyHjlyJIYOHarY5kOO4+Dm5obXX39d0pP54sWLiI+Pl92vB5k/f76kF+36+npcu3ZN0TWUyZMnw8XFRTH7fQ1N9DSEECxcuFDR7j8mJkbyUCYoKAgBAQGKPdGnTp0qeWbK3t4e8+fPl9mjDgghcHV1xdSpUxWx31fRhGiAjrR1S5cuVaRhLly40KTINIQQREdHw8XFRdZ3CEIIAgICMGXKFJPsjB49GuHh4TJ51YGQdnz58uWyJqx9HNCMaAAgICAAzz33HDiOM1k8wvULFizAuHHjTPbN1tYWa9asgbOzs2zCHjZsGJ577jmTgwoSQhAVFYWwsDBZ/OI4Dv369cNLL70EV1dXWWw+TmhKNEDH+80rr7xi0hiaEAJ7e3usWrVK1qDc/fv3x2uvvYagoCBDOVJ8I4Rg+vTpsj7FCSGYPXs2FixYACsrK5N6xMGDB+P111+Hu7u7LL49bmiy3/X29sYbb7yBlJQUpKamQq/XG3UdIQQcxyE4OBgzZsxQZNbLxsYG0dHRGDVqFA4fPozq6upHghl2hfAZb29vzJs3T5HVdWFqeOjQoUhMTERubq5RwQKFz9ja2iIyMhLBwcFP/BJAT2hSNEBHPOTIyEhERETg8uXLyMzMREVFRZeNkxACNzc3jBs3DuPHj1dlP9vw4cOxa9cuAMatsQifKSkpUXw7iqOjI1544QVUV1cjIyMD2dnZqKmp6fKzVlZW8PHxQUhICEaMGMHiTxuBZkUjoNPpMHHiREycOBHt7e24e/cuqqqq0N7ebgiA7u7urqmX1dbWViQkJGDRokVmDcru7OyMmTNnYubMmWhpaUF5eTkaGhrA8zysrKzg5uYGFxcX1quIRDstzQgsLCzg4eGh+Y2DPM8jOzsbCxYsMLcrBnQ6nSFrGcM0NDcRwGBoHSYaBkMkTDQMhkhUe6cRYmYJud21xINZgLW4mFdZWYmkpCT4+flp7vRkWlraQ39qCaXqVTXRFBQUAICmc87HxsZixYoVkq9PT09Henq65G3+3ZGUlKTp+wYAb731lrld6BZT67UzqokmKioKsbGxmnxaXrt2DStXrjR5diksLAxhYWFobm7Ghg0b5HEOMPgVGxuLwMBA2ezKQXp6Ot58801s2rRJtm08ciFXvXZGNdG4urrKqnYl0JqYBQS/AgMDZd0WJCdhYWGa9U3uemUTAQyGSPrU4mZfQTiJyVbajae5uRnV1dVob28Hx3FwcHCAvb29ud3qEiYaBdDpdFi7dq253dA0lFIUFBQgKysLRUVFXe6Ns7Ozg7e3N8aOHYvAwEDN7ItjopFIRUUFhgwZglu3bhm9k5gQgjFjxqCurg79+/dXyVNtIWR+S05ORlVVVY87xBsaGnDjxg3k5uaiX79+mDRpEp5++mmzi4eJRiTt7e04derUQwl1jYlrICR/vXz5Mq5fv465c+ciKCjoiRrC1dXV4cCBAw/lP+1tel64t01NTTh+/DguX76MmJgYs+4/ZBMBIhDSjp88edIgArFQStHa2or4+HgkJiZqOgqPnNy+fRubNm3CjRs3TLJTWVmJf/3rX2ZdJGeiMZK2tjZ8/fXXKCoqks3m+fPncfDgwcdeOHfv3sW2bdvQ3Nxs8nellILneXz//feSk/uaChONkRw6dAglJSWyN/CMjAycP39eVptaorW1FV9//TVaWlpkvXeUUvzwww+orKyUzaaxMNEYQV5eHjIzMxXrEY4cOdLtycq+zrFjx3D//n3F0snHx8fLvm2pN5hoeqG9vR379u1T9IWd53kcPHhQMfvmoqysDOnp6Yo9bHieR2lpKS5cuKCI/e5goumF69evo66uTtH3Dp7nkZeXh6qqKsXKMAdpaWmqxJpOTU1V9b2QiaYX0tPTVZkWJoTg3LlzipejFo2Njbhy5YoqQ6eqqirDLno1YKLpgaamJhQVFanyFKOU4urVq4qXoxZ5eXmqvWtwHKfqTBoTTQ+onQL8/v37hsN6fZ2ysjJVhmbAL+82asFE0wPl5eWqr9hXVFSoWp5SlJaWqjqrdfv2bdXeaxTdRkMIIbW1tUoWIQv19fWGP+/fv2/4fXV1tVH7yuSksrISAwYMMMo/LdCdb3V1dar6odfrce/evYfizHX2zdHR0QFAHTWxQomSDYIQ4gBA+6rpBiGouJobBPfu3YtLly6pVp5SvPPOO3ByclK1zA0bNqC5ubm3jzlSSk168ig9PKurra1FbW0tiouLAQDFxcUQfjd8+HDD38X+u7M9U2wlJiYCABITEx/6///4j/9QPWXeV199ZbR/ctw3pe7dkCFDVL1vQMeQsCffADgCMLkLVHR41lU36ODgAAcHBwAdETOFv0v594P2TLFlZ2dn+PNB37y9vZGeni7hm0vH19f3ke/TnX9S7yMgXz1055unpyeqq6tVG9o6ODjAxcWlR99M7WEEzDoRsG7dOpP+rZQt4f/VTtduaWlpeJ8xxr+u/m7Mv3uyJZc9Ne8dIQSDBg0ylK14eSo8CSgA4UUMtbW1jzz1pCCnvZSUFEybNg0nT558KFUez/P4+9//bsw42WQIIRg8eDDWrFljtH9SkLseuvOtuLgYX331lcn2jYEQglmzZuGpp57qzTdZpkJV62l0Oh3+/Oc/y5YzRk57woxL5wj/Qq4bNaadKaXdZlDuzj8pyF0P3fk2aNCgR2YBlYIQYki0ZYxvpqKqaN5//31ZRSOXvZ5u7sSJE1UZl9va2mLkyJFd/p/copGzHrrzjRCiShw0juMwduzYLnMS9XnR9FWcnZ1V6W0iIyPNfvZdbiZMmAAnJydF7x0hRPXs00w0RjBr1izY29srUvkcx8Hf31+zgfZMwcrKCosXL1a0p545c6ZJ+VmlwERjBDqdDkuWLJFdNIQQ2NjYYNGiRY9tgA1fX1+TU753BSEEQ4YMkT0VvDEw0RjJ4MGDsWzZMlnStQMdla7T6bB69Wo4OjrK4KF2eeaZZ7qd5JACIQQ+Pj5Yvny5WR42ioqGEPLHp59+Gra2tkZvqXjppZcMMcKEn6eeegoffPABxNqilOL999+Hl5cX+vXrh+nTpyM7OxtAx76yVatWwdHR0TAm7m2/1IYNG7Bt2zZD3kpTGDBgAF599VW4u7vj//7v/+Dv7w8bGxuEhITg1KlT3V6XnJz8yP0hhBi2xqekpGDBggXw8vICIQTx8fG9+nLy5EmEhITAxsYGQ4YMwRdffCHJVne+5eTkYO7cubCwsDAExpCCcJ21tTXKy8sRERGB/v37Y+DAgYiOjkZOTk6P1xNCphNCaBc/Xc/AdIPSPY31smXL8Oabb4q6aPbs2SgvLzf8JCYmorW1FWJt/e1vf8Mnn3yCjRs34ty5c/Dw8MCzzz6Luro6vPjii8jKysLhw4exceNGAMB7773Xq83hw4fjzTffREBAAACIetIJjWjKlCl444034Orqit27d+Odd97BH//4R2RmZmLKlCmYM2dOr1FvcnJyHrpHgj8NDQ0YN26c4Tv1Rn5+PubOnYspU6YgMzMTf/jDH/DrX/8ae/bsEW2rJ98IITh9+jQ8PT0NPaux7zpCuCwbGxu4uLjgf/7nf/D9999j3bp1OHv2LI4ePQq9Xo9Zs2ahoaHBGJMjAHg+8CMqrpTS22j+DOB/tm3bJuo6nU73SDC4v/zlLwAAY21RSvHpp5/ij3/8I2JiYgAA27dvh7u7O/7xj3/g8OHDOHv2LMLDww3Tr6dOnUJOTg5GjBjRo29+fn7w8/NDWVkZzp07h8uXL6O9vd0gIKGShfMkQoWHhIQgJCQEzs7OBnuffPIJXn31Vbz22msAgE8//RRJSUnYtGkTPvroo279GDhwYJc97pw5czBnzhyj7hEAfPHFF/D19cWnn34KoCMzwfnz5/Hxxx8jNTVVlK3efDt8+DCAjrgLOTk5+Omnn1BWVgYAj0TafPDf9+/fxwsvvICgoCDodDpkZ2fj4sWLeOmllwyf37p1KwYOHIiMjAxjZtPuUEprRH+xn9FkhM3k5GTDjZ82bRo++OADDBw4UJSN/Px8VFRUYNasWYbf6XQ6TJs2DUeOHIGjo+MjL5H29vY4c+ZMj6LpyreoqCiUlpaivLwcd+7cQUNDAxITExETEwNfX194enrCy8vrkbTtra2tyMjIwLvvvvvQ72fNmoUzZ870+P0mTJiA5uZmjBo1Cn/605/wzDPPGHtrHiI1NfWhewR07O7esmUL2traJG1Y7c03CwsLjBo1CtbW1pg4cSK+/fZbWFpaorq6Gm1tbbC0tET//v3h6emJ3//+9xg+fDhCQ0N79E84gmLkTFomIcQGwFUA/49SekLM99OcaObMmYNly5Zh8ODByM/Px3vvvYfIyEhkZGSIWpATDnO5u7s/9Ht3d3dcvXq1SxE6Ozv3eAisJ9+GDh2KoUOHAuh4Mq5evRqbN2/ucatKZWUl2tvbu/SxOz88PT3x5ZdfIiQkxBDxc8aMGUhOTpa0XlFRUdFl+Xq9HpWVlaL2kInxjVKK3/72txg7dixmz57drc2bN28+MvvW2T/B1uTJkzFmzJieXCwH8DqADAA6AKsAHCOETKeUpvR04YOIFg0h5H0Af+7lY6GU0l4j4L3//vuGYVd3HDp0CAsXLsTBgwcNwywx9ry9vR/6tzC929W7CKW0x3eU5cuXG/4+ZswYTJw4EYMHDzbKt57oXGZPfowYMeKhnnDSpEkoLi7Gxx9/LHmRr6vyu/p9b4jxbf369bh06RJOnz5tsn/G2qKU5gB4cLYglRDiA+C/ACgnGgAbAXzby2cKjDG0fv16PP/88z1+xs/PD4MHDzYqBvCD9oqLizFr1izs2bMHo0aNMnzmv/7rv+Dq6tplEIuamppHnro94enpabRvXeHq6goLC4tHepU7d+6I8uOpp55CbGysJB88PDy6LP/BHdem0JVvb7/9Nvbt24eUlBTD7mSp/omx1Q1nAYhKaCpaNJTSSgCyxAJ1dXXtNevuvXv3UFxcbNQw4UF7I0aMgIeHB/Ly8gy9QGtrK06fPo133nkHqampSE9Pf2h/VH19PZ5++mmj/RfjW1dYW1sjJCQER48exeLFiw2/P3r0KBYtWmS0nczMTMk+TJo0Cfv373/od0eOHMHEiRNlOYD3oG+UUrz99tuIi4tDcnIy/P39JfsXEhKC3/zmN6JsdcMEdAzbjEbpGAG+mZmZKCoqQnt7O7KysgAAw4YNM2S5GjlyJD766CMsXrwY9fX1eP/997FkyRJ4enqioKAAf/jDH+Dq6oqJEycaEgAZY4sQgnfeeQcffvghAgICEBAQgA8//BC2trb4z//8T6SlpWHt2rXYvHmz4XjxhAkT0NDQYIjYGBMTg/Xr1yMyMhKNjY3YvHkzZsyYAVdXV5SVlWHjxo1wcHCAv7//Q1EehbPpWVlZvWbzWrx4Md577z24ubkhKCgIe/fuRX5+PiZPnowLFy7gs88+M/RkTU1N+PTTT+Hn54fRo0ejtbUVsbGx2LNnD/bs2WMoOy8vz2A/Pz8fWVlZcHFxga+vL37/+9+jtLQUO3bsAAC88cYb2LhxI377299i7dq1SE1NxZYtW7Br1y6jbGVmZgLoSAr79ddfw8vLC0OHDkVbWxsSExOxZ88e/P3vf8eFCxfw0Ucf4fDhw/jkk0+Qn5+P/Px8AB0TMDY2NgCAzz77DHfu3MH//u//AgAmT56Mf/7zn1ixYgViYmJw6dIl/Pvf/0ZoaCi2b9/eo63333/fcN9+bo/voGMUlA3AGh09zJKff4xHmB5V4gfANnScp3no58SJE1QAAN26dSullNLGxkY6a9Ys6ubmRq2srKivry9ds2YNLSoqomvWrHnETk+2KKWU53n65z//mXp4eFCdTkenTp1KL1++TCml9N69e3TFihW0f//+1MbGpkvbWvuJjY2lf/3rX+nQoUOpjY0NdXZ2ppMnT6YHDx40fOcTJ050ee2aNWsopZSuWbOGTps2jT5IcnIynTBhArW2tqZ+fn5006ZNRtsaOXKk2e+LMfft5/bx/wHIA9AEoArAKQBzxbZr1Q6haZnKykokJSXJlq69vr7ecPhJjryRTU1NKCgoQFRUVK/DWbWR+97JSRf3TZY9N0w0CiD36UiGbPStk5sMxuMCEw2DIRImGgZDJEw0DIZI1JgIeOJ4IByvI5UpQB1DOzDRKADp2BTVHzIE22ZoDyYaBkMk7J2GwRAJEw2DIRImGgZDJEw0DIZImGgYDJEw0TAYImGiYTBE8v8DFmqt+HySjaIAAAAASUVORK5CYII=", "text/plain": [ "Graphics object consisting of 97 graphics primitives" ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "from sage.combinat.tiling import Polyomino\n", "H = Polyomino([ (-1, 1), (-1, 4), (-1, 7), (0, 0), (0, 1), (0, 2),\n", " (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 1), (1, 2),\n", " (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 0), (2, 2),\n", " (2, 3), (2, 5), (2, 6), (2, 8)])\n", "H.show2d()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.35 s, sys: 248 ms, total: 1.6 s\n", "Wall time: 5.09 s\n" ] } ], "source": [ "%time solution = H.self_surrounding(10, ncpus=2)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1552 graphics primitives" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "G = sum([p.show2d() for p in solution], Graphics())\n", "G" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Manifolds: diff function for exterior derivatives" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "M = Manifold(2, 'M')\n", "X. = M.chart()\n", "f = M.scalar_field(x^2*y, name='f')\n", "diff(f)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "diff(f).display()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "da = (2*x + 1) dx/\\dy" ] }, "execution_count": 12, "metadata": { }, "output_type": "execute_result" } ], "source": [ "a = M.one_form(-2*x*y, x, name='a'); a.display()\n", "diff(a).display()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Differential Weyl algebra" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3*x^2" ] }, "execution_count": 13, "metadata": { }, "output_type": "execute_result" } ], "source": [ "W. = DifferentialWeylAlgebra(QQ)\n", "dx, dy = W.differentials()\n", "dx.diff(x^3)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5*x^4*y^4 + 4*x^4*y^3 + 1" ] }, "execution_count": 14, "metadata": { }, "output_type": "execute_result" } ], "source": [ "(x*dx + dy + 1).diff(x^4*y^4 + 1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Temperley-Lieb diagrams now have unicode" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ " ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬\n", " │ ╰─╯ ╰─╯ │ ╰─╯ ╰─╯ │ ╰─╯ │ │ \n", " │ ╰─────────╯ │ │ \n", " │ ╭───────╯ │ \n", " ╰───╮ │ ╭───────╯\n", " │ ╭─────╮ │ │ ╭─────╮\n", " ╭─╮ │ ╭─╮ │ ╭─╮ │ │ │ │ ╭─╮ │ \n", " ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬ ⚬" ] }, "execution_count": 15, "metadata": { }, "output_type": "execute_result" } ], "source": [ "from sage.combinat.diagram_algebras import TL_diagram_ascii_art\n", "\n", "TL = [(-15,-12), (-14,-13), (-11,15), (-10,14), (-9,-6),\n", " (-8,-7), (-5,-4), (-3,1), (-2,-1), (2,3), (4,5),\n", " (6,11), (7, 8), (9,10), (12,13)]\n", "TL_diagram_ascii_art(TL, use_unicode=True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## some calculus" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[x == (2/3), x == -1, x == (3/2), x == 1]" ] }, "execution_count": 14, "metadata": { }, "output_type": "execute_result" } ], "source": [ "x = var('x')\n", "eq = 6*x^6 - 7*x^5 - 7*x^4 + 7*x^2 + 7*x - 6\n", "sol = solve(eq, x)\n", "sol" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[x = \\left(\\frac{2}{3}\\right), x = \\left(-1\\right), x = \\left(\\frac{3}{2}\\right), x = 1\\right]\n", "\\end{math}" ], "text/plain": [ "[x == (2/3), x == -1, x == (3/2), x == 1]" ] }, "execution_count": 15, "metadata": { }, "output_type": "execute_result" } ], "source": [ "show(sol)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 17, "metadata": { }, "output_type": "execute_result" } ], "source": [ "eq = 6*x^6 - 7*x^5 - 7*x^4 + 7*x^2 + 7*x - 6\n", "complex_plot(eq, (-1.5, 2.1), (-1.5, 1.5))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "A 3-dimensional face of a Polyhedron in ZZ^3 defined as the convex hull of 8 vertices" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" } ], "source": [ "sage: P = polytopes.cube(intervals='zero_one') # obtain others than the standard cube\n", "sage: P = matrix([[0,1,0],[0,1,1],[1,0,0]])*P # linear transformations\n", "sage: it = P.face_generator() # a (fast and efficient) face generator\n", "sage: next(it)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Generator for cube-connected cycles" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NGCjqTlxcHHr27AkdHR1s274dYdGxmLxmE9/MoTaKS0oxac0mhF2IRVMNDbl6eK5fvx7Z2dnYv3+/XN2XNHLt2jV069YNQ4YMwbZt25CVlYX58+ejdevW6N27N86fPw/d5pr4bcIYsMrKkXqvqh5XTSRl30Vfu4pZ7JBe9jDQ0QadTkdiYiJfOzs7O6SkpPBUfCmqQjmGRkB4eDhcXV3RrVs3xMfHY/bs2QgNDUXk1URYjp+FE1cSwGZzqr2WzebgxJUEWI6fheNXE7F161aoq6ujV69euHfvXgPfiei5c+cO/vjjD/z6669UHnwDkJ+fX2XD4JcvX2BiYoKgoCAYd+iA/j1soK3ZDEqKiigofC9w3wWFRdBtXpGNx2DQ4WJjiRcvXvAEHCsxMDAAi8Wqcpzi/1D7GOQYQgj+/vtvLF26FBMnTkRgYCBPxXTcuHGws7PDNB8fuC9dK5CMdPR/MtKjR49G37598fPPPyM6OhpWVlYSvtO6weFwMHXqVLRt2xYrV66UtDmNgpp251fuF8nOyYHnT5MAVHx/hd1H8m1zS+N2CL90pUp2mbzszhcnlGOQU9hsNnx9fbFnzx6sWLECq1atqvJH1qFDB8TGxfHJSB+JPcgnIz189Jgqu0pbtmyJq1evYsCAAXB0dMTZs2fRq1evhr7FehMQEIDk5GTEx8eLfGMWRfVUtztfT08PycnJ4HK5YLFYaKqmiqJPn1HOZvNmAIKg10ITBYX/71tDXY1X8e5b5GF3vrihHIMcUlxcjLFjx+L8+fPYt2/fD2UdrK2t+R78gujQtGjRAjExMRgyZAj69euHqKgouLq6isT+huDRo0f4/fffMXv2bPTsWXcJcgrhqG53vr29PdatW4fXr1+DyWTiU/FXXExJA1NJETadBE9wsDczxeWbtzHfYwQA4OOXYtBoNDg4OPC1k4fd+eKGykqSM16/fo1Bgwbh3r17OHbsGPr37y/W8UpKSjB69GhER0cjIiICI0eOFOt4ooAQgr59+yIvLw/Z2dlQV1eXtEmNhup253M4HHTt2hW6urp4+eIFWjVVxZ38pxj6swMCFs4SuO/EzDvoPWsR1k6fhKE/2cNr5d+4/SAPSTdu8Ik9yvru/O+gspIoauf+/fuwt7fH8+fPce3aNbE7BaAiXnvixAm4u7tj9OjRCAkJEfuY9SU4OBgxMTEIDAyknEIDY25uDltbW77NbXQ6HWfPnoWysjJy8/Jw6eZtDOnVAxt9vfmuVbDvjwNna9486WDRGRF/LMWBMxdhOX4mMh8+Rv8BA/icQmlpKaKiouDj4yP6m5MjKMcgJ1y/fp0nYnbjxo0GXRBWVFTEoUOH4OPjgylTpmDbtm0NNrawvHjxAgsXLsTkyZN5SqIUDYufnx+2bdsG7jeCjq1bt8aZM2eQnJwMQghculmB+U251/xXBWDQ6ehp0aXWvt2df8LdI/sQseY3sDkcrF27lu98cHAwunfvLpOSLQ0JtcYgB0RGRsLLyws9evRAVFQUn4BeQ0Gn07F7925oaGhg3rx5+PjxI/z8/KRKnZQQgpkzZ0JVVRWbNm2StDmNFjc3N+Tm5uLFixdo1aoV3zlra2s4OTri1x3B6NfdhqeRRO3Ob1ioNQYZZ8uWLVi4cCHGjBmDAwcOSEWhd39/fyxbtgwLFizAxo0bpcY5HD58GB4eHjhx4gSffg6FdJGXlwcLCwu493ZASB12509eswmRVxORmZkpN7vza4Gq4EbxfzgcDhYuXIht27ZhyZIl+PPPP6WmotXSpUuhoaGB2bNn4+PHj9i7d6/ElUrfvn0LX19fjBo1inIKUk6HDh0QHBwMT09PABBKXXXm+gCERcciLCysMTgFsUE5BhmkpKQEXl5eOHnyJHbu3IlZswTP3GgoZs2ahaZNm2LSpEn49OkTQkNDeZvrJMHcuXPB5XKpMIKM4OHhAUIIvL29cT3rLtbPmYIhvexrrMdwKiEJC7buxfO3hdi8eXNjqscgFqhQkozx7t07DBkyBOnp6Th8+DCGDBkiaZNq5eTJkxgzZgxcXFwQGRkJVVXVBrfh9OnTGDJkCP755x+MHz++wcenqDvfV3CrbXe+tpYWCt+/h62tLa5fv16vIkEyBFWPobHz8OFDDBgwAB8+fMCZM2dgZ2cnaZMEIiYmBkOHDoW1tTVOnz4NDQ2NBhv748eP6NKlCywsLHD27FmpWe+gEI5vd+dnZWfz7c7vYW+PyZMno0WLFjAxMUFZWRlWr14NPz8/SZvdEIjnC00IEdcPhQhJTk4m2traxNjYmOTl5UnaHKFJTEwkzZo1I9bW1uTt27cNNq6Pjw9RV1cnT58+bbAxKcQPh8Op9viGDRsIAEKn00lycnIDWyURxPL8pmYMMsCpU6cwduxYWFlZ4d9//5XZrfyZmZno168fmjdvjkuXLsHA4Meph/UhNjYWLi4u2LVrF2bOnCnWsSikg/LyctjY2ODRo0do2bIlbt++Le+bGKlQUmNk586d+OWXXzB8+HAcOnSIpwwpq+Tm5qJPnz5QUFDA5cuX0b59e7GMU1xcDAsLCxgaGiIuLk5qMrYoxM+NGzdgb28PJSUlTJo0CXv37pW0SeKECiU1JjgcDlm8eDEBQObNm0fYbLakTRIZT58+JR07diR6enokKytLLGPMnz+fKCsrkwcPHoilfwrpZsaMGYTJZBIA5N9//5W0OeJELM9vyjFIIaWlpWTs2LGERqORLVu2SNocsfD69WvStWtX0rx5c5HHgpOSkgiNRiMbNmwQab8UskNRURHR0dEhLVu2JFpaWuTVq1eSNklcUGsMjYGioiIMGzYMycnJCAsLkwm10rry4cMHDBw4EJmZmTh16hScnJzq3SeLxYKVlRXU1NSQlJTUWFIWKaohIiIC48aNQ7NmzeDg4IAzZ87IY1Yapa4q7zx58gQ9e/ZEdnY2YmJi5NopAECzZs1w8eJF2NvbY8CAATh9+nS9+1y3bh3y8vKwf/9+yik0csaOHYu+fftCSUkJ586dw549eyRtkuwgrqmIeGZN8ktqairR09Mjbdu2Jffu3ZO0OQ1KaWkpGTFiBGEwGCQ8PFyga6pLV0xPTycMBoOsXLlSxBZSyCq5ubmEyWQSKysroqKiQu7evStpk0QNtcYgr5w7d46oqamRbt26kYKCAkmbIxHKy8vJxIkTCY1GI3v27KlyPjU1lcyZM4fYWFvzFhWZTCaxsbYmc+bMIcnJycTGxoaYmZkRFoslgTugkFbWrFlD6HQ6MTIyItbW1vL2/aDWGOSRffv2YcaMGXBzc0NERATU1NQkbZLE4HK5mDdvHgICAvD3339j8eLFVSQR+thawtK4PZqqqeJT8Vdk5D7E5VsVkgh0ugKOHDkq9yE4CuFgsVjo2rUrlJSUcOfOHfz666/4888/JW2WqKDSVeUJLpdL/Pz8CAAyc+ZMUl5eLmmTpIJvP5chQ4YQFRUV0s5Anxz39yNl8WcJN+lClZ+y+LPkuL8fMWqpS1RUVAQOR1E0Hq5cuUIAkOHDhxMajUauXbsmaZNEBTVjkBfKysrg4+ODf/75B3/99RcWL14sj9kSNVJYWAhTU1OkpKTAyMio2jaenp4IDw+HV38X7BZCdnnW+gCERsciNDQU48aNq9LG3d0dDg4OWLBgQX1vg0LGmDx5Mk6ePAkTExMUFBQgIyOjQXW7xASVlSQPfPz4EQMHDkRERATCwsKwZMmSRuUUgIpCPoMHD+ZzCnPnzoWNjQ2YTCZMTU0RFRUFr/4uOOC3UCCnAADhF+Pw6GUBFOl0eHp6omfPnkhJSeFrs2LFCqxbtw6fPn0S5S1RyAAbNmwAnU5Hy5Yt8f79e/j6+kraJKmFcgwNyPPnz/Hzzz/j5s2buHjxYrVvtPJOSUkJgoOD4e3NX+idEIIpU6ZgzJgxeP7sGfRbaGL3Yl+hpCyupmXCo58j4nath6GONh49eoR+/frhxYsXvDYWFhYwMjJCWFiYyO6JQjbQ0tLChg0bcPLkScyaNQuHDh3CkSNHJG2WVEKFkhqIrKwsDBgwAAoKCjh//jy6dKm9qLm8cuLECUyfPh1v376t9vy0adMQFBSE4/5+GO7Ys+7jXEmA+9K1UFNTw65duzBhwgTeudWrVyMmJgbXrl2rc/8UsgkhBI6Ojnj58iUsLS0RExODrKwsGBoaStq0ukKFkmSVmJgY9OrVC9ra2rhx40ajdQoAcO3aNdja2tZ4Pj09HYoMBgb36lGvcYb0skdLrRYoLS1F8+bN+c7Z2dkhJSUFLBarXmNQyB40Gg27d+/GkydP0L59e6ipqWHixIngcrmSNk2qoByDmDl06BD69+8Pe3t7XLt2Dfr6+pI2SaLk5+fX+hk8f/YM6irK1ZZwFAYGg46mqipgMBjo06cP3zkDAwOwWCwUFBTUawwK2aRz58749ddfsXXrVqxduxaxsbHYunWrpM2SKijHICYIIVi3bh0mTJiACRMm4PTp02jSpImkzZI4JSUlUFaueTH5zdu3UGEy6z3O+tBjePr6LbhcbpXxKqXLv379Wu9xKGST5cuXw9DQEIcOHcL8+fOxdOlSZGZmStosqYFyDGKAzWZj2rRpWL58OVavXo19+/ZBUVFR0mZJBVpaWigqKqr2HJfLBYfDAb2etRM2hkXC/+BhLBw3AuXl5VXCBO/fvwcAaGtr12scCtlFRUUFu3btQmxsLLp06QITExN4enqitLRU0qZJBZRjEDFfvnzBkCFDcODAARw4cAArVqxodOmotWFlZYU7d+5Ue05BQQF0Oh2cesR7N4Qew9qQcJzfshaaTZqAyWRWyWzKzs6GoaGhzFbCoxANrq6uGDNmDJYuXYpdu3bhwYMHWLZsmaTNkgooxyBCCgoK0Lt3byQkJODcuXOYOHGipE2SOlxdXZGTk1Nl1pCXl4f09HRoamriS0kJ0h88RPqDhygrLxe47/Whx+AX+A+Cf18Ao5a6uJF9F51MTPDlyxe+dvHx8ejXr59I7odCttmyZQtYLBYOHjyIv/76C1u2bMHly5d55xvtorS4tlSLfue3dHPnzh3Spk0boq+vT9LT0yVtjlTTo0ePKkJ5vXv3JqhIceb7eXTiAE/6AgDZv3xBtbIY3KQLpI2eTrV9fKu2WlJSQpo2bUqSkpIa+K4ppJWdO3cSAOTq1avEzs6OqKmpka6WFtWKNaampkra3O+hJDGklWvXrmHYsGEwMDDAuXPn0KpVK0mbJNWcO3cOixYtQnZ2dpUwT1paGmxsbKrsY8h/VYCOo6YiJyIQxq0MfjhG5T6G1NRUWFtb847v3LkT//77Ly5evCi6G6KQaTgcDqytrfH40SN8/vIFus010b+HTY1ijU6OjggMCkKHDh0kbTogpn0MVCWTenLkyBFMmDABPXv2xIkTJ9CsWTNJmyT1uLm5ITc3Fy9evKjiRK2treHk6IhfdwSjX3cbnhzGhaRU+AwdIJBTKC4pxeId++Hk6MjnFABAUVERAQEBorsZCpnnyJEjeHD/PnSaaeDA7/MxuFePatOl2WwOTifcwK87gmFhYYHg4GB4eHhIwGLxQ80YvoPL5Qokw0AIwaZNm/Drr7/Cy8sLwcHBUFJSagAL5Z+8vDxYWFjAvbcDQvwWCiWLweVyMXnNJkReTURmZqa0vNVRSABBxBrDw8Ph5eUFL1dn7JJNsUZq57M4SEtLg6+vL2xtbKCsrAw6nQ5lZWXY2tjA19cXaWlpVa7hcDjw9fXFr7/+imXLluGff/6hnIII6dChA4KDgxEaHYvJazahuESwFMLiklJMXrMJodGxCA4OppxCI6c6scanT59i8ODBUFNTg6amJiZMmACPvo4IEUKsMf9VAb6UlECVyYSnpyd+//33Km1kXayx0TqGvLw8ODs5wcbGBlFHj8BMrzn8Z0zCvmXz4T9jEsz0miPq6BHY2NjA2ckJeXl5ACo2RY0cORJ79uzB3r17sW7dOiodVQx4eHggNDQUkVcTYTl+Fk5cSQCbzam2LZvNwYkrCbAcPwuRVxMRFhYmt1N8CsGoTqyRw+Fg4MCBKC4uRkJCAtq0bg0QgiaqKkLNSr+WstDOoCV2LJoNuoICjlYjxCfrYo2NMpQUHh4Ob29vtGyuiQ1zpgoUU3z1vghbtmxBSEgIsrKycOzYMbi5uUnA+sbF9xXcXGwsYWncDhrqavj4pRgZuY8Qk1qxKOjs5IS9gYHUTIGiWrHG8+fPY9CgQXj27BlevXoFW1tbzB87HLtOnMHrc4fRtA7VE3UHjMHbDx+rJDkADSbWSIWSREFlTNG9twMyDu3CcMeeNeryMBh0DHfsiYxDuzCytwNmzJiBu3fv4urVq5RTaCA6dOiA2Lg4pKamYvjoMbjzpgjL9hyA959bsHR3CO68KcLw0WOQmpqKmNhYyilQAKherDEpKQlmZmbQ19fHgQMHYKirg98mjAGrrByp9/LqNI6qMhMa6moICQmpck6WxRrlLiuptgWn3NxceHt7w8vVWahFTTUVZRzwWwgCguNXEmvMPKKqg4kPa2tr3hvZ69evoaenh2ORkRgyZIiELaOQRqoTaywoKICuri4AICkxES42FtDWbAYlRUUUFL6v81jGhga4kZRU5fi3Yo1t2rSpc/+SQO5mDN8vOBUWFqJ///7Q19eHiYkJyspYUGEy8aWkRKh+7+Y/xefir2CXl8PY2LhaNUZZX3CSFdT+m/IXFxdL2BIKaaUmscbK9cDsnBxYGrcHUJFhWJ91QgPtFsjKzq5yXJbFGuXKMVS34KSgoIChQ4fi77//BiEEyyeNw9XbmZj5t3C57F9LWTBuZYA5oyreUJ8/f16ljawvOMkKqqqqACjHQFEz1Yk16unpoaCgAFwuFywWC03VVFH06TPK2WzoNtes81jKTCWwWCy5EmuUK8dw/vx5MBgM2Nvb845pampi5syZSElJgaGuDn6f5IGZIwchPqOqh6+Nbp1NsMHXB+tne4OuoIDk5ORq2w0ZMgQRERH1ug+K2lFQUICqqmoVDSQKikqqE2u0t7dHdnY2Xr9+DSaTiU/FX3ExJQ1MJUXYdKr72lQpq0zuxBrlyjHUVh2sMqb4pugDoq5cR28r8zqNwWDQocxUwpP8/GrPy/KCkyyhpqZGzRgoaqQ6scZ+/fqhc+fOGD9+PNq1bYsLSTfxa0AQvIcMECojqay8/P8ij2w2cp+/RPt27Xgp7ZXIslijXDmG2qqD3U5PR/jFKzAc4ommaqoIWjq/zuMoMRh4+epVteeo6mANA+UYKGrD3Nwctra2OHr0KO8YnU7H2bNnoaysjNy8PFy6eRtDevXARl9vvmsV7PvjwNmatbReviuE9cTZsJ44G6/evcedx09w5+5dvhB2aWkpoqKi4OPjI/qbawDkyjHUtODE5XLB5XKxYoonov5eiYcvXmHB9sA6j6OgoAAOh1OtJK8sLzjJEurq6lQoiaJW/Pz8sG3bNr6/09atW+PMmTNITk4GIQQu3azA/Ea1IP9VARh0Onpa1FyX3ailHrhJF8BNuoBI/+UAgNTUVFy5coXXJjg4GN27d0ePHvWrXS4p5Mox1FQdTEFBAUwmE2oqyhj6sz32LPkFe06cwat3hXUah8vlgk6nV5vuKssLTrIENWOg+BFubm6YPn06Xrx4UeXct2KN30quCCvWuGh7kFyKNcqVY6itOphZly7IyH0IAKjc7M0SogjMt5Sx2dBv2bLac7K84CRLUI6BQhDmzp1bowx+YFAQXr0vwqz1AbxZxYwRA7Hz1zk/7JfL5WLm+gA8ff0G02fMqHJ+2rRpMDExqZ/xEkSuHEN1C07nzp1DSEgIOpqY4EJyGk7H38CsDQHoadEZRi31BO67csHp1t0HKGGVQUtbG+np6XK14CRLUKEkivryrVjjxD82CiXWOPGPjQiLjkX79h2wdOlSudu7JFeOoboFJxUVFQQFBeH06dN4XfgeM/7ejoE9u+P0xj/4rhV0wcluyi/gcrm4ffs2rKys5GrBSZagZgwUosDV1RUaGho4EnNVKLHGo7HxACo2tb59+xZz585tSLPFjtxJYvj5+WHRokXw8fGBgoICnJyckJiYCABwdnLCk9wH8Js8jk9iV9AFp8+xJ2E5fhbaGHdEbFxclTayvuAkS1COgaK+EEIwc+ZM0Gg0xMVdwQo/P7gvXSuQWOPZyzH45ZdfMHfuXPj5+WHJkiUYOHAg3N3dJX1bIkEu1VW3bduGESNGVIkt1lQAZs+Js8h6+LjW2KIgBWACAwPRu3dvmY4tygrz589HdHR0jWtKFBQ/Ijw8HJ6enjh8+DDGjBkDoKI+S0hICG4kJSErOxssFgtMJhPmZmboYW+PyZMn8xaai4qKYGdnByaTifbt2yMhIQGZmZkwMPjxwrUIEYu6qlw6htqIiIiAp6en0BWbZqzfjvDoOErrX0pYvnw5Dh06hCdPnkjaFAoZ5NmzZzA3N8fAgQNrlbD5UUXHu3fvonv37ujVqxfS09PRpUsXREdHC1XfoZ5QstuioG4FYGbi8MUrMDc3x+jRoxvYYorqoEJJFHWFy+Vi0qRJUFdXx44dO2pt+6MHvKmpKSIiInDhwgU4OTnh8uXL2L59uyjNlQyEEHH9SDW5ubmkUycTAoAY6GiRCQP6kE2/TCP7ls0nm36ZRiYM6EMMdLQJAOLs5EQOHDhAFBQUyJIlSyRtOgUhZPv27YTJZEraDAoZZOvWrQQAuXTpksj6/OuvvwgA4ubmRphMJsnMzBRZ3z9ALM/vRusYuFwuMTc3Jz///DOZM2cOsbWxIUwmkwAgTCaT2NrYkDlz5pDU1FTeNRs2bCAAyJEjRyRoOQUhhAQHBxMAhM1mS9oUChkiJyeHMJlMMnfuXJH2y+Vyybhx44iKigpp164dMTc3JyUlJSIdowYoxyBK4uLiqn1r4HA4NV7D5XKJh4cHUVVVJRkZGeI2kaIWDh8+TACQjx8/StoUChmBxWIRKysrYmpqSr5+/Sry/r9+/UpsbGyInp4eUVRUJAsXLhT5GNUglud3o1tjqCQgIACmpqZwcXHhO15bTJFGo2Hfvn3o2LEjhg0bhsLCuklqUNQfdXV1AKA2uVEIzOrVq5GVlYXQ0FCeppkoUVFRwcmTJ0EIgYGBATZt2oSYmBiRj9MQNErH8PTpU5w8eRK+vr5CV25SVVVFVFQUPn36BA8PD7DZbDFZSVEbVBU3CmG4fv06/vrrL6xevbqKrpEoMTQ0RFRUFF6+fImWLVtiwoQJ1eq3STuN0jHs2rULTZo0wfjx4+t0vZGREY4cOYLY2FgsW7ZMxNZRCALlGCgE5fPnz5gwYQJ69OiBxYsXi308e3t77N27F69evUJRURFmzJhREbeXIRqdYygpKUFQUBCmTJnCC0fUBRcXF2zYsAEbNmygKrZJACqURCEoCxYswOvXr/HPP/+AwWgYsYdJkyZh/vz5YLFYOHr06A/3Skgd4lq8EMsyiwjYt28fodFoJC8vr959cblc4uXlRVRUVMjt27frbxyFwDx58oQAIBcuXJC0KRRSzKlTpwgAEhgY2OBjl5eXk759+xIlJSWirq5OHj9+TAghJDU1lcyZM4fYWFvzZULaWFtXyYQUALE8vxvVzmdCCKysrNCqVSucPn1aJH2WlJSgV69eeP/+PW7evEnJbTcQhYWF0NLSwvHjxzFixAhJm0Mhhbx58wbm5uaws7PDqVOnhF5PFAVFRUWwtbXFs2fP0KVLFzRrpoErV67CQEcbfWwtYWncHk3VVPGp+Csych/i8q0KPSYnR0cEBgVVK73zHWK5KbkT0auNhIQEZGRkYP369SLrU0VFBVFRUbCxscGYMWMQHR3dYNPVxgwVSqKoDUIIpk2bBi6Xi3379knEKQCApqYmzpw5g65duyIzMwOt9XRx3N8Pg3v1AINBr9KezebgdMIN/LojGBYWFggODpaIBE+jWmPYvn07TExM0KdPH5H227p1axw7dgxXr17FkiVLRNo3RfUoKSmBTqdTi88U1RISEoJ///0XQUFB0NXVFds4hYWF0NHRQX5+fo1tbt++jfLycnj0dUJW6B4Md+xZrVMAAAaDjuGOPZFxaBfcezvA09MT4eHh1bZ1d3cHjUZbIIr7+J5G4xiePXuGqKgo+Pr6ikXgytHREZs3b8bmzZtrXWiiEA00Gg3q6uqUY6CowqNHjzB37lxMmTIFw4YNE+tY/v7+GDx4MIyMjHjHnj59isGDB0NNTQ2ampqYMGECPPo64uCKRQKJdgJA+MU4PHpZAEU6HZ6enujZsydSUlL42qxYsQIAfqfRaE1Fd0cVNBrHsGfPHqiqqmLChAliG8PX1xcTJkyAt7c30tLSxDYORQVqampUKImCDw6HgwkTJkBbWxtbt24V61glJSUIDg7mK9bF4XAwcOBAFBcXIyEhAW1atwYIQRNVFaFeSK+mZcKjnyPidq2HoY42Hj16hH79+vHVr7awsACAfACeIrup/2gUjqG0tBSBgYGYPHkymjRpIrZxaDQa9uzZAzMzMwwfPhxv374V21gUlMIqRVU2bNiAxMREHDx4UKx/6wBw/vx5MBgM2Nvb845dvHgRd+7cQWhoKLhcLjIyM/HL6KE4cO4SPgnxXQ1dvQSzRg6GvXlnbJ0/HQUFBWCz2dXtpD4FQOSLEI3CMRw+fBjv3r3DnDk/LvJdX1RUVHDixAmUlpZizJgxKC8vF/uYjRUqlETxLenp6VixYgUWL16Mn376SezjXbt2Dba2tnzHkpKSYGZmBn19fRw4cACGujr4bcIYsMrKkXovr4aeamdIL3u01GqB0tJSNG/e/PvTKQDsaDQas06d14DcOwZCCLZv344BAwbA2Ni4QcZs1aoVjh07hvj4ePz6668NMmZjhAolUVRSWloKLy8vdO7cGatXr26QMfPz86Gvr893rKCggLfYnZSYCBcbC2hrNoOSoiIKCt/XaRwGg46mqipgMBjVJc68AMAEoFenzmtA7h1DYmIibt++jV9++aVBx/3555+xdetWbNu2DYcOHWrQsRsLVCiJopLff/8dubm5CA0NBZMp0pfnGikpKYGyctXF5MrU2OycHFgatwdQ8YJa15TZ9aHH8PT1W3C53OrGK/nvv6p16rwG5N4xBAQEwNjYGP369WvwsWfNmoXJkyfDx8cHt27davDx5R0qlEQBALGxsdi8eTP8/f1hZmbWYONqaWlVEcjT09NDQUEBuFwuWCwWmqqpoujTZ5Sz2dBtrin0GBvDIuF/8DAWjhuB8vLy6uQzKmNLIl3QlGvH8OLFC0RGRmLOnDkNWYOVB41Gw65du2BpaYnhw4fjzZs3DW6DPEOFkig+fPiASZMmwcnJCfPmzWvQsa2srHDnzh2+Y/b29sjOzsbr16/BZDLxqfgrLqakgamkCJtOP9zFzMeG0GNYGxKO81vWQrNJEzCZzOqeY2YAnhNC3tXrZr5Drh3Dnj17oKKigkmTJknMBmVlZRw/fhzl5eUYNWoUtRgtQqhQEoWvry8+fvyIAwcONPjLn6urK3JycvhmDf369UPnzp0xfvx4tGvbFheSbuLXgCB4DxmApv8pAgvC+tBj8Av8B8G/L4BRS13cyL6LTiYm1b0I/QTgokhu6Bvk1jGwWCzs3bsXkyZNQtOmIt//IRSGhoaIjIxEYmIiFi5cKFFb5AkqlNS4OXbsGEJDQ7Fjxw60bt26wcc3NzeHra0tjh49yjtGp9Nx9uxZKCsrIzcvD5du3saQXj2w0deb71oF+/44cLbm5/nu46dRVl6OUcvWQn/QOByLjUdGZiY2btzIa1NaWgoAwwEEifjW5NcxHDlyBG/fvm2QFFVB6NWrF7Zv346AgAAcOHBA0ubIBVQoqfHy8uVLzJgxA+7u7vDy8pKYHX5+fti2bRtf7L9169Y4c+YMkpOTQQiBSzcrMJWUeOfzXxWAQaejp0WXGvt9HPUPuEkXwE26gEj/5QCA1NRUrFq1itcmODgYAJIJITdEfV9y6RgIIQgICICrqytMTEwkbQ6PGTNmwNvbGzNmzMDNmzclbY7MQ4WSGieEEEyZMgVMJhN79uyRmEAeALi5uWH69Ol8O5Irsba2hpOjI37dEYziklLe8QtJqfAZOgDGrQx+2H9xSSkW79gPJ0fHKpXnFBUVAcC3vvdQHXIpu33jxg3Y29vjzJkzGDhwoKTMqBYWiwVHR0c8e/YMqampYhX4knf27NmDOXPmoLy8XKIPB4qGZdeuXZg9ezbOnz+P/v37S9qcWsnLy4OFhQXcezsgxG+hUOsgXC4Xk9dsQuTVRGRmZtYkwS2WL75czhi2b9+O9u3bY8CAAZI2pQpMJhPHjx8Hh8OBu7s7ysrKJG2SzKKmpgYOhwMWiyVpUygaiPv372PRokWYNWuW1DsFAOjQoQOCg4MRGh2LyWs28c0caqO4pBST12xCaHQsgoODBanLIFLkzjG8fPkSx44dk1iKqiDo6+vj+PHjSE5Oxvz58yVtjsxC1X1uXJSXl2P8+PFo1aqVSGuqiBsPDw+EhoYi8moiLMfPwokrCWCzOdW2ZbM5OHElAZbjZyHyaiLCwsIkUo9B7irK7N27F0wmE5MnT5a0KbXi4OCAHTt2YPr06bC2tsbUqVMlbZLMUVmsp7i4GC1atJCwNRTiZt26dUhLS0NiYiLvpUBWGDduHOzs7DDNxwfuS9fCQEcbLjaWsDRuBw11NXz8UoyM3EeISa2o4Obs5ITowMAGnynwEFfNUGGKlooKFotFdHV1yaxZsyQxfJ2YPn06UVJSIklJSZI2ReZISEggAEhOTo6kTaEQM8nJyYROp5OVK1dK2pR6U1nz2dbGhjCVlAgAoqSoSGxtbKiaz+IgLCwMXl5euHPnDkxNTRt6+DpRVlYGJycn5OfnIzU1FXp6ItXCkmvS09NhZWWFlJQUdOvWTdLmUIiJ4uJiWFlZoVmzZrh+/XplNo5cUFxcDHV1dYSGhsLTs05lFajF5x+xfft29OnTR2acAlBRojIyMhIAfrgYXY1OSqPm21AShfyyePFiPH/+HIcOHZIrpwBUrJOpqalJnVyO3DiGlJQUpKSkNLiKqiho2bIljh8/jps3b2Lu3Lm842lpafD19YWtjQ2UlZVBp9OhrKwMWxsb+Pr6NvoqcZVxZmqTm/xy/vx57Nq1Cxs3bpSqPUmiREdHR+ocg9wsPgcEBKBt27Zwc3OTtCl1okePHti1axe8vb1haGiImMuXEXflCgx0tNHH1hKeP01CUzVVfCr+iozch4g6egQ7duyAk6MjAoOCJLdIJUGorCT5prCwEFOmTIGrqytmzpwpaXPEho6OjtRVe5QLx1BQUIAjR47gr7/+Ap1Ol7Q5dWbq1KmIiIjAihUr0EZPF8f9/TC4Vw8wGFXvic3m4HTCDfy6IxgWFhYIDg6WSFqbJKEcg/xCCMH06dNRVlaG/fv3y/UGRmrGICYCAwOhqKiIKVOmSNqUehEeHo7Y2FiMc3XCnsW/QE2lahGQShgMOoY79kS/7jaYtT4Anp6eIIRg3LhxDWixZKkMrVGhJPkjNDQUx48fx7Fjx6pUSZM3tLW1kZOTI2kz+JD5NYaysjLs2bMH48ePR7NmzSRtTq0UFhZCR0cH+fn5Vc7l5ubC29sbXq7OOOi3qFan8C1qKsoI8VsIL1dneHt7Iy+v+rqy7u7u2Lx5c33Ml0oovST54+nTp5gzZw68vLzg7u4uaXPEjjTOGGTeMRw/fhyvXr2Cr69YtKREir+/PwYPHgwjIyMAFY6if//+0NfXh4mJCcrKWFBhMvGlpKT2jr5DQUEBrj1swC4vR8eOHdG5c2dERUXxtVmxYgXWrVuHT58+iep2pAJ1dXVqxiBHcLlcTJw4ERoaGggICJC0OQ0C5RjEQEBAAJydndGlS80SttJASUkJgoOD4e39f112BQUFDB06FH///TcIIVg+aRyu3s7EzL+F+4NIyrqDiWs2YpTLTyCEwNnZGaNHj0ZycjKvjYWFBYyMjBAWFiaye5IGqBmDfLF161ZcuXIFBw8elPoIgKjQ0dFBcXGxVH2PZdox3Lp1C0lJSTIxWzh//jwYDAbs7e15xzQ1NTFz5kykpKTAUFcHv0/ywMyRgxCfkS1U39uOnETfbtY4sHwRDHS0QaPR4OLigq1bt/K1GzJkCCIiIkRxO1ID5Rjkh+zsbCxduhQLFiyAk5OTpM1pMHR0dABAqjKTZNoxBAQEoE2bNhg8eLCkTfkh165dg62tbbXnkhIT4WJjgTdFHxB15Tp6W5kL1XdS9l30tbMGg0GHi40lbiQlwdXVFYmJiXzt7OzskJKSIldqpFQoST5gsVjw8vKCsbEx1q1bJ2lzGhTKMYiQN2/e4PDhw5g9e7ZMpKjm5+fXmF1xOz0d4RevwHCIJ5qqqSJoqXCKqwWFRdBtrgkAsDRuh6zsbOjq6qKgoICvnYGBAVgsVpXjsgw1Y5APVq5ciTt37iA0NBTKyoIlXsgLlY5BmtYZZNYxBAYGgk6ny4wqaUlJSbVfeC6XCy6XixVTPBH190o8fPEKC7YHCt1/ZZq3hroaWCwWOBxOldxvFRUVAMDXr1+FvwEphar7LPvEx8dj/fr1WLNmDbp27SppcxocLS0tAJRjqDfl5eXYvXs3vLy80Lx5c0mbIxBaWlooKiqqclxBQQFMJhNqKsoY+rM99iz5BXtOnMGrd4UC963XQhMFhRV9f/xSDCaTiXfv3lWpDvf+/XsAFXnT8gJV91m2+fTpEyZMmICePXti0aJFkjZHIigqKkJTU5NyDPUlKioKL1++lIlF50qsrKxw584dABW7OrOysrBlyxYMHDgQhMtFRu7D/85VtGeVlwvct72ZKS7fvA0AyMh9hLZGRoiOjoaDgwNfu+zsbBgaGvLeUOQBKpQk28yfPx/v3r3DwYMHZSIkLC6kLWVVJh3D9u3b4ejoCHNz4RZpJYmFhQWys7MxatQotGzZEhYWFliyZAny8/Nh2rkzzt9Ixen4G5i1IQA9LTrDqKXg8tu/jB6Giymp8D94GGcTU3Dv/n1ER0eDzWYjPj6ep8oaHx+Pfv36iesWJQIVSpJdTp48if3792Pbtm1o166dpM2RKJRjqCdpaWm4fv261M8WioqKEBUVhdmzZ8PExASurq7gcDi4efMmpkyZgpiYGJw+fRoaGhp4+PAh3rwvwoy/t2Ngz+44vfEPvr4U7PvjwNmLNY7lYNEZEX8sxc7jp1H48RNatmyJQYMG4caNG/j5559haGiIWbNmITIyUmbWZASFCiXJJq9fv4aPjw+GDh0q9dUWGwJpcwwyp5UUEBCAVq1aYciQIZI2hY/S0lIkJSXh8uXLuHz5Mm7dugUul4sOHTqgT58+8Pf3R3l5OVavXo21a9fy6lG7uroCAJydnPAk9wH8Jo/jk8PIf1UABp2Onha1b+AbYN8Nv+0KgZOjI2Lj4gBULGzfuHEDR48exYEDB1BcXIxRo0bB3d0do0ePhr29vdTWxRYUKpQkexBC4O3tDQUFBQQGBsq1QJ6g6Ojo4NGjR5I2g4dMOYa3b98iIiICq1evBoMhWdO5XC4yMjJ4jiA+Ph4lJSXQ1taGi4sLpk2bBhcXF578RSUFBQV48eIFWrVqxXc8MCgIFhYWmLU+ACF+C3kP7AtJqfAZOgDGrQxqtWXW+gC8el+E6KAg3nEFBQU4ODjAwcEBnTp1goaGBm7cuIHIyEhs374dBgYGGDVqFEaNGoUePXrIpJNQV1dHSUkJOBxOo45RyxL79u3DmTNncOrUKV6qZmNHW1tbqmYMUl/zmcPh8P7/zz//JMrKyuTdu3ei6l4oHj16RAIDA8no0aNJixYtCACiqqpKBgwYQDZt2kTS09P57BWW8PBwQqPRyPj+LuRz7EnCTbrww5/PsSfJ+P4uhEajkfDwcIHG4XA4JD4+nvj6+pKWLVsSAMTQ0JDMnz+fJCYm1useGpqIiAgCgHz69EnSplAIQG5uLlFTUyM+Pj6SNkWq2LFjB1FUVCRcLlfYS8Xy/JY6x1BZKNvG2powmUwCgDCZTGJtZUXU1NTI0KFD69q10Lx9+5YcPXqUTJs2jbRr144AIAoKCqRHjx5k+fLl5MqVK4TFYol0zLCwMKKiokLaGeiTSP/lpCz+bLUOoSz+LIn0X07aGegTFRUVgZ3C93A4HHLt2jUyZ84coqenRwCQVq1akQULFpAbN27U5YvaoJw6dYoAIK9evZK0KRQ/oLy8nNjb25N27dqRz58/S9ocqeLo0aMEACkqKhL2UrE8v2mkMj9SDJMRYRrn5eVhmo8PX9UyS+P2fFXLLty4hdfvP4itallJSQkSEhJ44aHbt2+DEIJOnTqhT58+6NOnDxwdHaGhoSHScb/n+8/CxcYSlsbtoKGuho9fipGR+wgxqRl48eYtnJ2csDcwUCSfBYfDQUJCAo4dO4bIyEi8fv0arVu3xqhRozB69Gh069ZN6uLBcXFxcHZ2Rl5eHtq3by9pcyhq4c8//4Sfnx+uXbuGnj17StocqeLq1atwdHTE/fv30bFjR2EuFc8fpLg8jjAu79u35OP+frW+JR/396v3W3IlbDabpKSkkD///JM4OzvzZih6enrEy8uLHDhwgDx79qxeY9SHytmTrY0N3+zJ1saGzJkzh6SmpoptbDabTeLi4sisWbOIjo4OAUDatGlDFi1aRFJSUqRmJpGcnEwAkPT0dEmbQkFIjWHI1NRUwmAwyLJlyxrYItngzp07BACJj48X9lL5nDGEh4fDy8sLXq7O2LXYV6ACNcUlpZi1PgCh0bEIDQ0VuGoZIQR5eXm8GUFsbCw+fPgAdXV1ODk5wcXFBX369EHnzp2l7s0YqFhklsQCMYfDwbVr13D06FEcP34cb9++hZGREW8mYWNjI7HPKycnB2ZmZrh+/XqVDX0U4ictLQ0hISFISkxEdk4OWCwWmEwmzLp0gb2DAyZPngxTU1PY2NhAWVkZN27cgJKSkqTNljoKCwuhpaWFEydOYPjw4cJcKpY/PLE6hsLCQpiamiIlJaVKdg5QUbXM0tIS7r0d+DJxBIHL5WLymk2IvJqIzMzMKqEUd3d3ODg4wNPTE7GxsTxn8PTpUzAYDPTo0YMXHrKzs4OiomJ977dRwGaz+ZzEu3fv0LZtW56TsLa2blAn8eTJExgZGeHixYvo27dvg43b2BEk9Hv5VkW4s3WrVih4/Rq3b99G586dJW26VMLlcqGkpISdO3di+vTpwlwqlj82seZ8VlexzNPTE5mZmSgsLASNRgOTQcdfs6cK5RSC/j2PQ+cvI/thPlilpbDr1g0XoqNhZ2eHL1++ID4+Hqqqqli8eDEWLlwIADAzM8OIESPQp08f/Pzzz2jSpIk4blnuYTAYcHZ2hrOzM3bs2IGrV6/i6NGjCA4Oxvr169GuXTuMHj0ao0aNgpWVldidhJqaGgBQm9wakPDwcHh7e6Nlc00c9/fD4F49wGBUTRVmszk4nXAD87fuAUCQkZFBOYYaUFBQgJaWltSkrIptxlBSUkL09fVx7tw5XnGaoqIiHD58GN26dUNBQQEGDx4Mfe0W6N3VHGF//CZw314r/4aDRWc4mHdGfHoW5m7ZAyUlJVhZWSEtLQ3l5eUwNDRESUkJBg8eDH9/f+jpCS4xQSE8bDYbV65cwdGjR3HixAkUFhaiffv2PCfRtWtXsTiJkpISqKqq4tChQ/Dy8hJ5/xT81DX0O3N9AMKEDP02NiwsLNC7d29hS5qK5c1LbAHr2iqW2draIjo6Goa6Olg0zl3oimWhq5dg1sjB6NqxPWaOGAwdTQ2UlZWhvLwcW7Zswb179/D06VP4+vri4cOHlFNoABgMBvr06YPAwEC8evUK0dHRcHJywt69e2FtbY2OHTvi999/R0ZGBkT5MqKsrAwFBQVq97OIKCwshI6ODvLz86ucy83Nhbe3N7xcnRHit1AgpwAAairKOOC3EF6uzvD29kZeXl617dzd3bF58+b6mC/TSJMshtgcQ20Vy4CKqmX2XUzw77VEoSuWfQuDQYeLbUXIYvXq1TxtIhqNJpcVy2QBRUVF9OvXD0FBQSgoKMCFCxfQu3dv7N69G127doWJiQmWL1+OzMzMejsJGo1G6SWJkO/DvxkZGfDw8ECrVq3QqVMnsMvLYdbeSOgkiLv5T/GxuBjlZWUwNjauUnYWAFasWIF169bh06dPIrgT2aNROIbaKpZ5eHggNS0Nx2Lj61Sx7HueFLwBIQR9+vThOy6PFctkDUVFRbi6umLfvn14/fo1zp8/j169emHXrl2wtLSEqakp/Pz8kJWVVWcnoaamhs+fP4vY8sZHSUkJgoOD4e3tzTuWmpoKbW1t+Pn5gcvlYuaIgVi1LxQ7jp0Squ+vpSwYtzLAnFEVGmfPnz+v0sbCwgJGRkYICwur343IKI3CMdRUsQwANm3aBACY7T6kzhXLKlkfegzp/9Uy+D4NTh4rlskyioqK6N+/P/bv34+CggLe+lNAQAAsLCzQuXNnrFixAtnZ2T90EmlpafD19YWtjQ3evHmD1atXQ1lZGbY2NvD19UVaWloD3ZX8UF34d8qUKdi+fTuysrJgqKuDjb7TMGlgX0RdvS5U3906m2CDrw/Wz/YGXUEBycnJ1bYbMmQIIiIi6nUfsoqOjo7U1H0Wm2OoqWIZAOjr64PJZKK9Qcs6VSyrZGNYJPwPHsa0oW5gMplVprfyWLFMXlBSUsKAAQMQEhKCN2/e4OzZs+jevTu2b98Oc3NzdOnSBatWrUJOTg7fdXl5eXB2coKNjQ2ijh6BmV5zbPT1wb5l8+E/YxLM9Joj6ugR2NjYwNnJqcZ4NkVVagv/JiUmwsXGAgwGHZ+Ki9G8ad2y+hgMOpSZSnhSzRoGgEYd/tXR0cG7d+/A4XAkbYr40lWtrKwQGhpa43mzLl2QkfsQNp2MAQhXsQwANoQew7oDEbiwdR32nDgLczOzKm3ksWKZPKKkpAQ3Nze4ubmBxWLh8uXLOHr0KLZs2YLVq1ejc+fOGD16NFRUVLBq1SqB0yR/3REMCwsLBAcHw8PDQwJ3JlvUFv7NzsmB50+TkJR1B0dj4nFm0x/VthMEJQYDL1+9qvbct+HfNm3a1HkMWURbWxuEEF4CgCQR24zB1dUVOTk5fLOGc+fOISQkBNnZ2ehiZoYz11Mwc73wFcvWhx6DX+A/CP59AQy1tXAx5TbMLSyqLEDKY8UyeaXyj+HVq1cYOHAgDh48iDdv3uDUqVOwsbHB33//jSVLlmBEb3tkHNqF4Y49q3UKQMVb6XDHnsg4tAvuvSs2OYaHh9c4dmPPhqmkpvAvl8sFi8XC569fMWzJavhNGYe+dtZ1HkdBQQEcDodXWfBbGnP4t9IZSMM6g9gcg7m5OWxtbXH06FHeMRUVFQQFBaFXr144cuQICj9+QsfWBkJXLNt9/DTKyssxatlatB42HgWFhQgJCcHGjRt5bUpLSxEVFQUfHx/R3xyFyPk+GwaoSEUdMmQIDh06hJKSEgCAg5mpUGmSPS27QLtZU3h6ekJDQwN9+vRBSkoKXzths2Gqe6DJA1paWnj37h2ys7Nx7Ngx/PHHH/Dw8KjYzQ5gQ2gkvIcMwPLJ9duHwOVyQafTq81saszhX2lyDGLd+ezn54dFixbBx8cHCgoKcHJyQmJiIu+8s5MTMnMfQPGbojuCVCx7HPUPgIqNM5bjZ6GNcUde1bJKgoOD0b17d/To0UPEd0UhaiqzYc6dO1flXEhICIICA/Ei/xFiAv5CyxbNher72u0s/DZhDDaFR8HAyAitW7dGv379kJOTAwODiuJH32bDzJw5s0ofgugBWVvX/Q1aEnz+/Bn37t3D3bt3eT/Xr1/Hu3fveC9zWlpaMDU1hbGxMbKystCmpQ7WzZhU77HL2Gzot2xZ7bnGHP5tNI7Bzc0Nubm51VYsA6qvWiZIxTKg5qpllSgqKgq7g5BCQlSXDVNJYWEhEpOScNzfD+0Mqn+Y1Ebo6iUAgNZ6OnBfuhY7du5EZGQkYmJiMGHCBF67ymyYbx1DdXpAnj9N4tMDijp6BDt27BCbFHx9effuHe7cucPnAO7evYtnz57x2rRq1QqmpqZwdXVFREQETp8+DTs7O2hpaSEnJwdOTk7o0KEDCgsL8fz1WzAYdNAVFKCt2UxgO8rKy3Hn8VOwORyUsMqgpa2N9PR0qKur831mjTn8q66uDmVlZanITBJ7fcy5c+fWeK5Dhw4IDg6Gp6cnAGDXYl/MGDHwh31+q64aFhZW7R/jtGnT6m40RYNSWzbMypUroUCj4c+Dh/H6/QdMGzagTgqzQ3rZw0BHG/v27UN5eTmaN+efedjZ2cHf3583GxBWD0iSC92EEDx//rxaB/Du3TsAAJ1OR/v27WFqagpPT0+Ympqic+fO6NSpE9TV1Xl9PXz4EM+ePYObmxsA4NixY3j79i3vYdV62HgAQBs9Hd7MHagI/+5fvgCTBlb/UH/5rhDWE2fz/n379m1YWVmhd+/euHLlCoD/h3+jo6NF9+HIEDQaTWr2Mki85rOHhwcIqSgOfj3rLtbPmYIhvexr/CM8lZCExTv249X7IoSFhVHZJnJATdkwa9asQeihQ+ioo4mfrSywKCAQ7z5+rFOMm8Ggw8XGEqGhoSj7b/ftt3ybDXP9+nWB9YAqF7r7dbfBrPUB8PT0BCGkWj2gSsXfBQsWCG0/UKFH9ejRoyoO4N69e7zEC2VlZZiYmMDU1BR9+vThOYAOHTqAyWT+cIzvw7+rVq3CqlWrAFSEfp/kPkDGoV18n4kg4V+jlnr4HHuyxtAvQIV/Aemp/SzxegyVSKpqGYXkcXV1RYcOHbBz584q55SVleE/YxLmjR2OTeHHsWZ/GD5cPlGncQYvWoGz1ysWnq2trTF69GiYmZkhNDQUcXFxeP36NQwNDfH69WuMdflZaCn4yJhr8PHfio/FX9G+fXts2LCBT1s/MzMTTk5OePz4MZo2bVpjPyUlJbh//36Vt//c3FyUlZUBADQ0NGBqasr76dy5M0xNTdGmTRvQ6dVnawnKtm3bMGLEiCrh37y8PFhYWFSRyd9z4iyyHj7Gzl/n1Njnj2TyASAwMBC9e/eGiYlJveyXZdzcKvZkRUVFCXqJ7MluC0OHDh0QGxeHtLQ0bNq0CeFHjuBwzFWUlZWDyWTC3MwMw0ePkcmFPoraqWkzZGWaZFM1VQBAjy6d8Kn4K16/L4Juc02hxtgYFonYW+kAgD/++AOZmZlYvXo1SkpKoKOjAwcHB5w8eRIqyspgs9mwNG4nlFNIyroDj5V/YfnkcQg+FQ3C5WL06NFISEhA9+7dAVRd5P7w4UOVh//du3fx+PFj3s5vPT09mJqaonfv3pgxYwbPAejp6YlN0rym8G91oV81FeUfhn8FCf0CVPgXqFiAzs3NlbQZ0uMYKrG2tsb48eMRHh6OJ48ewdDQUCJVyygajpo2QyooKIDJZOJTcUVO++0HD6GspIRm6mpC9V+5GdLJ2hLnkm7Cz88PAFBcXIyzZ8/i6NGjOHWqQvsnNy8P/XvY4mxiChaMGynwGNuOnETfbtZYOdUL5u2N4L50Lezt7bF161Zs2bKFF/6h0+lYunQp1qxZg1f/bfKi0WgwMjKCqakphg8fzhf/19QUzgGKm29Dv9cysrHpFx8q9CtCdHR0cP26cHIj4kDqHAMAPH36FAoKCtDX16ecQiPA1dUVS5cuRVFREe9BePr0aRQUFKB9u3aIT8+Cuqoylu89AJ9hA8AUojTk+tBjWBH4D8JWL8GyXfuhrq6OgoICqKurQ11dHaNHj8bo0aPh6emJq1evgssqgWYTdZSx2ULdQ1L2XcwbUxE2GtLLHnotmiM7Oxs3btzA4cOHAVRkyunp6eHz58+YOXMmzM3N0blzZ3Ts2BGqqqpCjSdJxo0bB2VlZYweNQruS9cKFPqNpkK/AiEti89S+dR9+vQpDAwMwGBIpd+iEDHVbYZUVFTErl27kJuXh5NXE7HtyEms9pmATb784QZhNkPmPn+JL1++oGXLllU2Q545cwbq6uroatwOkXEJmDbMTah7KCj8f3iLwaCjn501QAgUFBQQFRWFe/fuobi4GGfOnAGXy8WMGTMwbtw4dO3aVaacQiX79++HcceOSElJwfDRY3DnTRGW7T0I7z+3YNneg7jzpgjDR49BamoqYmJjKacgIDo6Ovj06ZPEtaKk8sn79OlTtG7dWtJmUDQg32fD9O/fH/3790daWhpsbGzwh88EDHfsyXeNMJshT1xJgPvStRg1ahSfAwL+nw1z5coVvHhKr7Pkw7chf0vjdgi/dAUMBgPDhg3jHZcHyYeUlBScPXsW4eHh6NatG7p168Y7x+VyqVl+Pajc5Pb27VsYGhpKzA6p/A1SjqHx4ebmhunTp+PFixd8x62treHk6IhfdwSjuKSU75ygmyGLS0qxeMd+6OroVDsLVVRUhK+vL8rLy/GzlUWd0mH1WmiioPD/C+ga6mpgs9nQ1dXlaycPkg+rVq2CqakpRo8eXeUc5RTqR+X3QtLhJKn8LT558qTRKStSVGTD1LRD/tX7IsxaH8CnUzRjxMBaUySBijfYGX9vx8t3hZg0eTLu3LlTpU3Pnj3h7e0NOp2OPt2s6mS7vZkpLt+8zfv3xy/FoNFocHBw4Gsn65IPycnJOH/+PFasWFHvtFiKqkiLLIbUOQYOh4Pnz59TMwYKHpVpkqHRsZi8ZlOVmUNNFJeUYtKaTQiPjgUB0KVLlyqKv5WSD3379kWXzp1xI/sOCgrf423RB6Fs/GX0MFxMScXfh47iXv4zhF2IBQjBvHnz+NrJuuRD5Wxh1KhRkjZFLqFmDDVQUFAANptNOQYKPjw8PBAaGorIq4mwHD8LJ64kgM2uvqAJm83BiSsJsBw/C8evJiJ4/350796dVw/82zWGSsmHsLAwZGZl4WhMPPQHjYPdlF/4+vzRIreDRWdE/LEUB85chOX4mch8+Bj9Bwzg7WEAZF/x98aNG7hw4QJWrlxJzRbEhLKyMpo2bSpxxyA1O58rSUpKgoODAzIzM2Fubi5qmyhknLy8PEwYPx5JN26gpVYL9O1mJdAO+S9fvsDNzQ23bt2Crq4uHj58WCUeXrnQfdzfj2+hO/9VATqOmoqciMAfrmcA/1/oTk1N5duMuXPnTvz777+4eLFmByPN9O/fH8+ePUNmZiblGMSIsbExhg8fjvXr1wvSXL53Plfy9OlTAKBmDBTV0qFDBwwcNAi309MxZKQ7Um/dwpHYgzzxu5p2yKurq+PcuXMYMGAAbt68iTNnzmDIkCF8fX+70N2vuw1PD0jQRW7g/wvdTo6OVXboy7Lib1JSEqKjo3HkyBHKKYgZaaj9LHUzhg0bNmDt2rX4+PGjqO2hkAMIITA1NYWtrS3fbmlB0yQ/f/6MAQMGICsrC5cuXYKdnR3f+Zr0gARBED0gWcXV1RUvXrxAZmYmlXkkZoYPH46ysjKcPXtWkOZimTFI3W+YSlWlqI3U1FTcv38f48eP5zsu6MOqSZMmOH/+PMzMzNCvXz/cvHmT73x9Fronr9mE0OhYBAcHy5VTSExMxMWLFysk0CmnIHakQWFV6n7LVKoqRW0cOnQIenp6cHFxqXMflc6hc+fO6Nu3L27dusV3vq4L3ZFXE+VSD2jVqlUwMzPDyJGCa0dR1B1pkMWQyjWG73O/KSgAoLy8HBEREfDy8qq3XErTpk1x4cIFuLq6om/fvrh8+TJsbGx458eNGwc7OztM8/GpVQ8oOvkWXr//ILd6QNevX8elS5dw7NgxarbQQFQ6BkKI2BR0fwghRFw/dUJTU5P4+/vX9XIKOebs2bMEAElLSxNZnx8+fCDdu3cnzZo1I7du3aq2TWpqKpkzZw6xtbEhTCaTACBMJpN0tbQkCgoKZOHChSKzR9ro06cPMTc3JxwOR9KmNBoiIiIIAPLp0ydBmovl+S1VM4bPnz+jqKiIWmOgqJZDhw6hS5cu6Nq1q8j61NDQQHR0NN/M4ftsImtra75j3y50jxgxArGxsSKzR5pISEjA5cuXERkZSc0WGpBv9ZKaNGkiERuk6rddWaCccgwU3/Pp0yecPHkSXl5eIp9eVzoHY2Nj9OnTB7dv3661/bcPyUmTJuH27dvIzMwUqU3SwKpVq2BhYcFXhY5C/EiDLIZUOQZqDwNFTZw4cQIsFotXPUzUVDqHDh06oE+fPkhPTxfougEDBkBbWxsHDx4Ui12SIj4+HjExMVQmkgSQBlkMqfqNf1ugh4LiWw4dOgRHR8dqRfZERbNmzXDx4kW0a9cOLi4uyMjI+OE1ioqK8PT0RFhYGMrLy8VmW0OzatUqWFpa8kmGUzQMLVq0AI1GoxxDJVSBHorqeP78OeLi4qrsXRAHlc6hbdu2AjuHiRMn4vXr14iOjha7fQ3BtWvXEBsbS80WJASDwUCLFi0ox1AJtYeBojrCw8PBZDIbLI9eU1MTly5dQps2beDi4vLD9YOuXbvCwsJCbsJJq1atQteuXanZggSR9F4GqXIM1K5niu8hhODQoUMYOnQomjZt2mDjVjqH1q1bw8XFBVlZWbW2nzRpEk6dOsUrxCOrXL16FXFxcVi5cqXkcugpKMfwLZRjoPiejIwMZGdnN0gY6XuaN2+Oy5cvw9DQEM7OzsjOzq6x7bhx48DhcHD48OEGtFD0VM4Whg4dKmlTGjWSFtKTGsdAFeihqI7Q0FBoa2tLrLiNoM5BV1cXbm5uMh1OunLlCq5cuYJVq1ZRswUJQ80Y/oMq0EPxPRwOB+Hh4Rg7diwUFRUlZkeLFi1w+fJl6Ovrw9nZGTk5OdW2mzhxIlJSUnD37t0GtlA0rFq1CtbW1lXkyCkaHkkL6UmNY6D2MFB8T0xMDF69eiWRMNL3VDqHli1bwtnZudra0YMGDULz5s1lctYQFxeHq1evUrMFKaEylPRtjfOGhHIMFFJLaGgoOnbsCFtbW0mbAgDQ0tJCTEwMdHV14ezsXGVmwGQy4eHhgUOHDoHDqV6NVRohhGDlypWwsbHBoEGDJG0OBSocA4fD4atP3pBIjWN48uQJNDQ0oKGhIWlTKKSA4uJinDhxAuPHj5eqN9hK56CtrQ0nJyfcu3eP7/zEiRPx8uVLXL58WUIWCk9cXBzi4+Op2YIUIWlZDKlxDFRGEsW3REVFobi4WGwSGPVBW1sbMTEx0NLSquIcbG1t0blzZxw4cEByBgpB5WzB1tYWAwcOlLQ5FP9BOYb/oBwDxbeEhoaiV69eaNu2raRNqRYdHR3ExsaiRYsWcHJywv379wEANBoNEydOxMmTJ2WiPG1sbCwSEhKo2YKU8a3CqiSgHAOF1PHq1StcunRJKhada6PSOTRv3hxOTk548OABAMDLywtlZWU4evSohC2sncrZQrdu3eDm5iZpcyi+QUNDA4qKitSMgXIMFJVERESAwWBg1KhRkjblh1Q6h2bNmsHJyQm5ubnQ19dHv379pD6cFBMTg+vXr1OzBSmERqNJNGVVKhwDVaCH4ltCQ0MxaNAgaGpqStoUgdDV1UVsbCyaNm0KR0dH5ObmYuLEiUhMTERubq6kzauWytmCnZ0dBgwYIGlzKKpBkpvcpMIxUAV6KCrJycnB7du3pT6M9D16enqIi4tD06ZN4eTkBDMzM2hoaEjtnobLly8jMTGRmi1IMY3eMTx58gQA5RgoKuouNG/eXCZj3np6eoiNjYW6ujoGDBiAAQMG4J9//pHYJqWaqJwtdO/eHf3795e0ORQ10Ogdw9OnT0Gn06kCPY0cLpeLsLAwjBkzBkpKSpI2p060bNkScXFxUFVVRWxsLJ49e4a4uDhJm8XHpUuXkJSURM0WpBxJCulJjWOgCvRQXL16Fc+fP4eXl5ekTakXlc5BQ0MDDAYDO3bskLRJPCpnCz169ICrq6ukzaGoBWrGQGUkUaAijNS+fXvY29tL2pR6o6+vz3MO//777w/rOTQU0dHRuHHjBjVbkAG0tbXx/v17iZSMpRwDhVRQUlKCyMhIeHl5yc0Dy8DAAOfPnwchBE5OTsjPz5eoPYQQrFq1Cvb29hKTMacQnMpNbu/evWvwsSnHQCEVnDp1Cp8/f5ZKCYz60K1bN/Ts2RPFxcVwdHSUqHO4cOECkpOTqdmCjCBJWQyJOwaqQA8FUBFG6tGjB4yNjSVtisiZMWMGSktLeTOHyiy8HyHKbKbK2YKDgwP69u0rsn4pxMe3jqGhM9sk7hioAj0Ub9++xYULF2Ru74KgDB8+HOrq6hg5ciQUFBTg5OTEk5n/lrS0NPj6+sLWxgbKysqg0+lQVlaGrY0NfH19kZaWVmcbzp8/j5SUFGq2ICOkpaXhr7/+AoNOx8CBA0X6XRAEGiFEXH0L1HFiYiJ69uyJrKwsmJmZicsWCikmICAACxYswKtXr6ClpSVpc8TC1KlTERcXh9jYWDg7OwOoKKXZunVr5OXlYZqPD+KuXIGBjjb62FrC0rg9mqqp4lPxV2TkPsTlWxl48eYtnBwdERgUhA4dOgg8NiEE3bt3h5KSEuLj4ynHIMUI+12Iu3LFmBCSJ2o7JJ4fShXooTh06BDc3Nzk1ikAFXUa9u/fj6dPnyIuLg6Ojo5wcnLCvHnzsGTJErRsronj/n4Y3KsHGAx6levZbA5OJ9zArzuCYWFhgeDgYHh4eAg09rlz53Dz5k1cunSJcgpSTHh4OLy9vYX6Ligo0LJpNNpkQkiEKG2R+Ixh/fr1+PPPP/Hhwwdx2UEhxdy/fx+dOnXCsWPH4O7uLmlzxAaXy4WxsTEcHR0RHByMJ0+ewNbWFu/evYNXfxfsXuwLNRXlH/ZTXFKKWesDEBodi9DQUIwbN67W9oQQ2NnZQVlZGdeuXaMcg5QSHh4OLy8veLk6Y5cQ34WZ6wNI6IUYAPAihISLyh6JrzFQGUmNm9DQUGhoaMhdScnCwkLo6OjwspAUFBQwYcIEHD16FMXFxSgrK8OXL1/g2d8ZB/wWCvQgAAA1FWWE+C2El6szvL29kZdXNYrg7u6OzZs3AwDOnj2LW7duUWsLEuT778L35ObmwtvbG16uzggR8rtwwG8hzau/CxQUaPtpNFqV+CKNRouk0WgLhLVZ4jOGIUOGgMvl4syZM+Kyg0JK4XK5aN++Pfr06YOgoCBJmyNSFi1ahKKiIgQHB/OOVfdg3jpvBn4ZM0yovo/HJWD53gO4/+Q5VFVVERoaiuHDh/POZ2ZmwsnJCY8ePYKLiwtUVVVx9epVyjFIiOq+C5UUFhbCQF8frLIyPDsVCgNtwcOpQf+ex6Hzl5H9MB+fir+CS8gHAK6EkJTKNjQazQJAHIC2hJBPgvZNzRgoJMb169eRn58vd9lIJSUlCA4Ohre3d5VzJiYm6Nq1KwBg37L58BkqnOR1UtYdjPX7ExMG9MG2+TPw9etXjBo1CsnJybw2FhYWMDIywm+//YbU1FSsXr2acgoSorbvAgCMHDkSrLIyAICasmAzhUqupmVibF9HxO5cjy3zpgNAMwAxNBrNoLINISQTQD4AoTYIUY6BQmKEhoaidevW6NWrl6RNESnnz58Hg8GoVtqjb9++SE9Ph6GONiYM6AMVZaZQfW87chJ9u1lj6cSxmDliMAx0tGFgYICtW7fytRs8eDBCQ0Px888/w9HRsR53Q1Efavsu7N69G7m5udDSbFanvkNXL8GskYPRtWN7zBwxGDqazdgAmABcvmt6CoBgmQr/IVHHUFmgp02bNpI0g0IClJaW4ujRo/Dy8oKCgsTfT0TKtWvXYGtrW+25EydOAABKWCzsO3VB6I1LSdl30dfOGgDAYNDhYmMJLpeLxMREvnaEEHz58gW///47NVuQIDV9F+7cuYM//vgDLZo3h03HdvUeh8Ggw8W2KwMVmabvvzudAsCORqMJ/BYi0b9IKlW18XL27Fl8+PBB5pVUqyM/P79aCfk1a9YgMjISdAUF9LTojEUBgfjz4GGh+i4oLIJu8/9XtrM0boeCggIUFBTwjhFCePWmTUxM6ngXFKKguu8Ci8WCh4cHNmzYgAe5uWhvaFDD1cLxpOANANAAXP7u1AtUzCT0BO2LcgwUEiE0NBQ2NjYwNTWVtCkip6SkBMrVxIuXL1+O7t27g8PlYshP9ljtMwEbwyKF7v/bCYCGuhrYbDbfrODUqVO4d+8eAODr16/C3wCFyKjuu7B06VKYmppi3LhxYLFYUBUynFgd60OPIT33YeU/y74347//qgran8QdA51OR8uWLSVpBkUDU1hYiLNnz8rdonMlWlpaKCoq4jtGCMHDhw9x5MgRMBgMfCr+ih5dOuFT8Ve8fl9UQ09V0WuhiYLC/7f/+KUYdDodurq6vHFWrVoFa+uKcJO2trYI7oiirlT3XYiNjcWxY8d4xag2hR8HAGgPGI2VQYeEHmNjWCT8Dx7GtKFuUKDRygkh38cnm//3X4Gr/kjcMVAFehofR48eBZfLFXjnrqxhZWWFzMxMnDlzBitWrMCAAQOgpaWFDh06YNy4cVBSVERG7kPcfvAQykpKaKauJnDf9mamuHzzNu/fGbmPoKamBgcHBwDAv//+i/T0dLi4uMDQ0FCud5PLAlZWVrhz5w7fsePHjyMjIwPp6enobGoKe7OKWfO13Rsxe+RgofrfEHoMa0PCcX7LWrz/9Bl0BYWcapqZAXhOCBFYv1ui+xjGjx+P/Px8xMfHi8sGCimkZ8+eaNasGc6ePStpU0TCly9fkJqaipSUFKSkpOD69et49eoVgIo3djs7O2hoaEBLSwvu7u4ICgrC6ZNR4HK5mDiwL7bNnynwWImZd9B71iKsnT4JAx3s4DBtPopLShEfHw97e3tYW1ujefPmaN26Neh0erW58xQNR1ZWFqytrfHmzRtoampWOe/r64vDoYfw7sNHvL8YiWZN1AXue33oMawI/Adhq5ege2cTWE+aw3734eM/AOYSQr5UtqPRaAcAcAghUwXtW6KOoXfv3jA0NERYWJi4bKCQMh4+fIgOHTogPDxcJmcM5eXlyMrK4jmBlJQU3L17F1wuF6qqqrC1tYWdnR3+/fdfTJo0CUuXLgWNRsOFCxewdOlS5OXlgc1mo7S0FJMH9cPeJXP59HAU7Ptj//IFmDSw5kI6kbHx8Nt7EA9fvASbUxE10NXVhYODA6KionDx4kW4u7sjOjoaPXr0EPtnQlE79vb2mDRpEqZPn17lXFpaGmxsbACgimP40Xeh7fAJlQvO37OaELIKAGg0mjKA16jY+HZDUJslGsN58uQJbwpMIb9wuVxeSmpoaCiaNGmCoUOHStiqH8PlcpGXl4ebN2/ynMDt27fBYrFAp9NhYWGBXr16YcGCBejWrRtMTU15YVEnJycsWrQIv/32G2g0Gvr374/+/fvz+nZ2ckJcWiZY5eU8x5D/qgAMOh09LbrUape7808YYN8NluNnoY1xR2zZuhX79u3D7t27AQCzZs1Cq1atYGFhIaZPhkIY/Pz8sGjRIvj4+FRJzWYwGGjapAmaqapA8ZuQuiDfhcdR/wCo0EwyGzeN/eJtYWI5m937u2ZTASQL4xQACTqGygI91B4G+SMtLQ0hISFISkxEdk4OWCwWmEwmzLp0Qd7Dh3B0dISqqsAJEg3Gq1evkJKSwnMEN2/e5Ik7dujQAXZ2dhg7dizs7OzQtWtXqKio1NiXm5sbcnNz8eLFC7Rq1arK+cCgIFiYm2PG39txcMUiKCgo4EJSKnyGDoBxq9rTF7lcLmatD8Cr90WI/k+C28nJCTt27MDKlStx5MgR5OTkoGXLlhg3bhy8vb1hbW1N7WeQENV9F7hcLrZs2YJly5bByMgIT58+waz1AQjxWyj0d2Hm+gDy7M1bDpdbbaioHICvsDZLLJT0/PlztGrVCmfPnoWbm5u4bKBoQATRkr9w4xZev/9Qp7oCouTTp0+4desW32zg+fPnACrCMt27d0e3bt1gZ2cHW1tbNG/e/Ac9Ck9ERAQ8PcdhnKsz9iz+RWh11bCwMHh4eIDL5aJr167Q1dXFpUuXAACPHj1CSEgIQkJC8OLFC1haWsLb2xuenp7VxropGo5nz55h4sSJiIuLw4IFC7Bu3TpERUXB09MTnq7OQintfqOu6ilK6W2JOQaqQI988a2W/IY5UwXSkn/1vkiougJ1hcViITMzk+cAbt68iXv37oEQAnV1dXTr1o3nBOzs7GBoaNhgb9e//fYbNmxYjzYt9bBhzlQM6WVf4+d2KiEJi3fsr/K5RUZGYtSoUUhISEDPnj35ruNwOIiOjsa+fftw+vRp0Ol0jBw5ElOnToWjo6Pc7TqXdg4fPoyZM2dCXV0dBw8e5BVtAoCDBw9i6pQpMNTRxqa5PgJ9F/JfvWJxuUR+6jEcPnwYHh4e+PjxI5o2bSouGygagLpqyQtTV0BQuFwuHjx4wLc4nJGRgbKyMigqKsLS0hJ2dnY8R2BiYgI6veofX0PB4XCgr68PppISnj1/DgMdbbjYWMLSuB001NXw8UsxMnIfISa1omqXs5MT9gYG8mZaXC4XlpaWaNmyJS5evFjrWK9fv8Y///yD4OBg3L9/H+3atcOUKVMwadIkGBiIZvctRfV8+PABs2fPRnh4OMaOHYtdu3ZVmblt3LgRS5YsQTdbWySnpAj0XYiNixNLBTcQQsT1Uyt///030dDQ+FEzCing3bt3RFtbmzx+/LjKuQcPHhAVFRUyvr8LYV8/R7hJFwT+YV8/R8b3dyEqKiokNze32rFHjhxJNm3aVKNtz58/JydOnCC//fYbcXZ2Jk2bNiWoeCkhJiYmZPz48SQgIIDcuHGDlJSUiOojESlLliwhmpqaJCkpicyZM4fY2tgQJpNJABAmk0lsbWzInDlzSGpqapVrjx49SgCQ69evCzwel8sl8fHxZNKkSURVVZUoKCiQgQMHkqioKFJWVibKW6MghMTGxpJWrVoRDQ0NEhYWVm2bN2/ekKZNm5JZs2YRQghJTU0V9Lsglue3xGYMc+bMwbVr15CZmSmu8SlEhKC1BXb96osZIwYK3G/Oo3z8vucAziXeBJvDwZYtWzBv3jy+NpW1BR4/fgwul4tbt27xzQYq9wvo6+vzQkF2dnawsbFBs2bN6nS/Dc3du3fRuXNnREZGYuTIkbzj32ZzVQeXy4WFhQUMDAwQHR1dp7E/ffqEw4cPY9++fbh58yZ0dXUxceJETJ06FR07dqxTnxQVsFgsLF++HJs2bcLPP/+Mf/75p0b5n1mzZiE8PBx5eXnVbkqs5bsglpinxLKSKLlt2aBST/7cuXNVzq1cuRKrV6/GvmXz4ebQDRpqgu/gBYCvpSwYtzLAnFEtsfVwFG/xF6hQX01PT8fNmzcBAMbGxnjzpiJnW0NDA7a2tpg0aRIvLCTLoRBTU1PY2dnh4MGDfI7hR/H/yMhI5OTk1KvIUdOmTTFt2jRMmzYNmZmZCA4ORlBQENavX4+ffvoJ3t7ecHd3l8osMmkmOzsbnp6euHv3Lv7++28sWLCgxpBlTk4O9u7di/Xr19e4U72h14IkNmOwtLREr169sHPnTnGNTyECTpw4genTp+PtW36ZFRqNBjc3N2Sm3sKjyJBqF8kEhc3mQKX3YLT7r5pb5boAm82GkpIStLW1QQjBX3/9BTs7OxgbG8vdoumuXbvwyy+/4MWLFzzdo9rgcrkwNzdHq1atcOHCBZHaUlpaipMnTyI4OBiXL19G06ZN4eHhAW9vb9jY2FBpr7XA5XKxfft2/Pbbb+jQoQPCwsJgaWlZ6zX9+/dHXl4ecnJywGQKLagnll+GxP66qBmDbFBbbYFLly7h7fsiOEybhz0nzgpdW6ASBoMOZaYSHubl4erVqzA3N8e2bdtw8+ZNfP78GUFBQSgsLMTo0aNhYmIid04BAMaOHQs6nY7wcMHquR87dgx37tzBqlWrRG6LsrIyxo4di0uXLuHRo0eYO3cuzpw5g27duqFr164ICAjA+/ffS/5TPH/+HP369cP8+fMxc+ZM3Lp164dO4cKFC4iOjsaGDRvq4hTEhkRmDJ8+fYKGhobMyiI0JoYNG4YWLVpU0dxZu3Yt/vjjD/wyagj0WjTHyqB/8NuEMVg+uW7ZRS36uePT1xKw2ewq5zIzM2FpaYn8/Hy53hA5atQoPHjwABkZGbW243A4sLCwQOvWrXH+/PkGsa0y7TU4OBinTp0CnU7HiBEj4O3tTaW9okIYcvr06VBVVcXBgwfRp0+fH17DZrNhaWkJbW1txMXF1XUmJj8zhmfPngGg6jDIAjXVFli2bBnKy8thatQaC8eNrHNtgUoUFBTA4XCqnXVU7jCW99oCEydORGZmJtLT02ttJ87ZQk3Q6XS4ubnh+PHjeP78OdauXYu0tDS4uLigQ4cOWLt2Ld8aUWPh48ePGD9+PMaMGYO+ffsiKytLIKcAAIGBgbh79y42b94sdeE5iTgGqkCP7FCdnjxQ8SBnMpn4VFzxsK5LbYFv4XK5oNPp1b55VoYt5L22gKurK3R1dXHgwAG+4986Sw6Hgz/++AMDBgxA9+7dG9jCCnR1dbFo0SLcvXsXCQkJ6N27N/z9/dGmTRsMGjQIUVFRKC8vl4htDcm1a9dgYWGBU6dO4Z9//sGRI0cE3iH/4cMHrFixAhMnTuTVzpAmJOYYqAI9skF1evKVmHXpgoz/qkbVpbbAt5Sx2dCv4fuQnZ3dKGoLKCoqwtPTEwcPHsTs2bNha2MDZWVl0Ol0KCsrw9bGBm5ubrh7926DzhZqgkajoWfPnggJCcGrV6+we/duvH37FiNGjIChoSEWL16M+/fvS9pMkcNisbBkyRI4OjrCyMgImZmZGD9+vFBv/WvXrkVpaSnWrVsnRkvrjsQcA1WgRzZwdXVFTk4O36zh9OnTCAoKQkcTE1y4kYbAqHNYvvcAfIYNAPO/qlSCUFZejvQHD3Hr7gOUsMqgpa2N9PR05OXxb+SMj49Hv341y1DLC3l5eUiIj8eHDx9w8tgRmOk1h/+MSdi3bD78Z0yCmV5zZNyqSN/9bcmSKp+TJKlMe01OTkZmZiY8PDwQHByMTp064aeffsLBgwdRXFwsaTPrTU5ODnr06IEtW7bA398fsbGxQq975eXlYfv27ViyZEm1tcGlAnHtnKttJ6Cnpyf56aefat0tSCE99OjRg+zZs4f37/Pnz5OuXbsSVVVVAoC01tUmW+bNIGXxZ/l2NgMg+5cvqHHn86MTB3i7lL/96d27N2+skpIS0rRpU5KUlCSBO284wsLCiIqKCmlnoE+O+/tV+Swrf8riz5Lj/n6knYE+UVFRIeHh4ZI2vUZKSkrI4cOHSZ8+fQgA0qRJEzJ9+nSSkpJCuFyupM0TCg6HQ7Zt20aYTCYxNTUlaWlpde5rxIgRxNDQkBQXF4vCNLE8vyUyY3jy5Am1viBD+Pn5Ydu2bbxYt6urK1auXAkDAwPQ6QpQUFCA95D+fHsZBNGTN2qph8+xJ9HOQB9Ojo68L+WVK1d4bYKDg9G9e3e5LjhTqTXl3tsBGYd2Ybhjzxr3hTAYdAx37ImMQ7vg3tsBnp6eAqe4NjTKysoYM2YML+113rx5OHv2LE+2fPv27TKR9vry5Uv0798fc+fOxbRp05CamgorK6s69XX16lWcOHECf/31l1RvGmwQx5CWlgZfX19ezDQhIQFHjhyBrY0NfH19kZaW1hBmUNQRNzc3TJ8+HS9evMCtW7fg5OSE4cOHo23btjh58l+8/vAJs9YH8C2SCqIn/21dgcAadu8qKioiICBA5PfUUBQWFkJHRwf5+fnVns/NzYW3tze8XJ0R4rdQIAFCAFBTUUaI30J4uTrD29u72rCSu7s7Nm/eXB/zRUbbtm3xxx9/ID8/H+fOnYOxsTEWLlwIfX19eHh4ICYmps77YASlLv1HRkbC3Nwc2dnZuHDhArZv315rHY4fjV9Z1Enq0/TFNRUhhJDc3Fzi5OhIABADHW0y0a0P2Tx3Otm3bD7ZPHc6mejWhxjoaBMAxMnRsUYhNQrJ8+TJE+Lp6UkAEDMzM3LhwgXeufDwcEKj0cj4/i7kc+xJgQT0PseeJOP7uxAajSbV4ZD6snDhQjJlyhTev9PT08nYsWOJoaEhUVZWJqqqqqSFRlOBP7fKn72/zSW9LLuQZupqRIFGI5rNmpHk5GS+sTMyMkjz5s3Jx48fG/q2BeL169dkw4YNpFOnTgQAadu2LVmzZg159uyZSPqvFKKzsbbmE6KzsbauUZSwko8fP5IJEyYQAGTkyJHk3bt39bYnJCSEACAJCQn17usbZEtELzw8nEirPj+F4Hz69Al//fUXtmzZAg0NDaxZswaTJ0+ukjjwbT2G9XOm1KmugLxRUlICfX19nDt3Dvb29gCA/fv3Iz09HSNHjsSHDx8wbNgwKCkysNF3GuaMGiJw314r/4aDRWc4mHdGfHoW5m7ZA3V1ddy7d49PN8rGxgbe3t6YOXOmyO9PVBBCkJSUhH379uHIkSMoLS1F//79MXXqVAwePBiKiopC9SdIwajLtyqkq6srGBUfH48JEyagsLAQAQEBmDBhQr33GXz58gUdO3bETz/9hCNHjtSrr+8QywYIsTgGGo02jkajhUmDPj9F3WCz2QgKCsLKlSvx5csXLFq0CL/++iuaNGlS4zXf/0EKU1dAHqlJZ6oSX19fnDx2FIMcuuH+0+eI2fF3ncZhszkwGjERbz98xL59+zBhwgTeudWrVyMmJgbXrl2rU98NzadPn3DkyBHs27cPKSkp0NHRwYQJEzB16lR06tTph9fXp2DUyJEjsWrVKvz1119wcHDAoUOH0LZtW5Hc14oVK7B+/Xrcu3cPRkZGIunzP6TDMdBotBYA7gKwI4TkV3PeWEGBluXZz5lZWb9UULhcLiav2YTIq4nIzMys8tBwd3eHg4MDFixYIJTNFIJDCMG5c+fw66+/4t69e5gwYQLWrl0LQ0NDgfuorPl8IykJWdnZvJrP5mZm6GFvj8mTJ0vlph5RM2/ePNy/f79G2QpbGxuY6TUHm8NBaVk5jv25vM5jea74C4cvX8WpU6cwaNAg3vHz589j+PDh+Pjxo1Rp8QhCVlYWgoODcejQIbx//x49e/aEt7c3Ro0aBbVqlHzrWzCqTZs2eP78OVavXo0lS5aIrIDTs2fPYGJigrlz58Lf318kfX6D1DiGjQA0CakoPE2j0SYBCKmubcHZw9Bp3kygfoP+PY9D5y8j+2E+PhV/hYaGBi5ER8POzo7X5lttfqrqm+hJT0/HokWLEBMTA2dnZ2zcuLHO2Rff8qO6AvJKTTpTlSgrK2P60P7YfeIszmz6A33t6u4se01bgMSsO1UkTORBZ4rFYiE0NBQzZ85EeXk5mjRpAg8PD0ydOhXdunUDjUZDbm4uLC0t4d7bAXV5IZ34x0YcvnwVkZGRGDZsGN/5+r6Qjh8/HhcvXkRubq44nluS10qi0WgqAKYC2PfN4SMAWv734woAXY3bo7eVucBOAQCupmVibF9HxO5cjy3zpqPowwe4uLjgxYsXvDYWFhYwMjJCWFiYMGZT/IAXL17w3uJfvHiB06dP4/LlyyJxCkDDa8lLCzXpTAEVDyMWi4WQMxfhN2VcvZzC+tBjSP9vB7rSdxsM5UFnislk4u7duxg/fjweP36M+fPn49y5c+jevTssLS3h7+8PMzMzlJSU4M9Zk4X+vkVdTcStew/A4XDg6emJqKgovvMrVqzAunXr8OnTJ6FtT0lJQWhoKNauXStTL7PC/sUOAMAmhCRVHiCElBBCCgghBQAGa2tqsHMeP8GUwa5CdRy6eglmjRyMrh3bY+aIwdDX1gKLxUJMTAxfuyFDhiAiQqR1rxstX758wYoVK2BsbIyzZ89i586dyMzMxKBBg6RO1EsWqUlnCgDu3bsHAOjepVOdFWkBYGNYJPwPHsa0oW5gMplVHoryoDNVWSzK29sbRkZGWL16NfLz83H+/Hl07NgRv//+O8rKygAAajU44ppIyrqDsX5/YsKAPtg2fwa+fv2KUaNGITk5mdemri+khBAsWLAA5ubmmDJlilDXShphHcPPAG7VdFKRQf+pja4OQ1WZCXenn+psFINBR++uZmCz2VVEqezs7JCSkgIWi1Xn/hs7HA4H+/btg7GxMdavX4+5c+ciNzcXM2fOFDoDhKJmatKZysnJgZOTE3R1dGCg3aLO/W8IPYa1IeE4v2Ut3n/6DHMzsypt5EFn6vz582AwGLzMLqBC7bV///5wcXGBrq4uWmjU7W1825GT6NvNGksnjsXMEYNhoKMNAwMDbN26la9dXV5Ijx07huvXr2Pz5s0iW69oKIR1DEYAXtZ0ksPhdn725h08+jlBRbl+C11PCt6AEFJFwtbAwAAsFgsFBQX16r+xEh0dja5du8LHxwcuLi64f/8+/P39oaGhIWnT5I7qdKYqnULfvn3hNnAgopNv4/nrt3hb9EGovteHHoNf4D8I/n0BDLW1cDHlNswtLPDlyxe+dvKgM1VTsag7d+7gjz/+gLaWFmw71S27LSn7Li+Mx2DQ4WJjCS6Xi8TERL52wr6QlpaWYsmSJRg0aJDAMtzShLCOQQVAaXUnaDSaApcQxdfvizBVyDDS98h7zFQSZGdno3///ujfvz80NTV5sU9ZXZCUBczNzWFra4ujR4/yjh07dgxv375FWFgYQkJCUFBYiNbDxsNuyi981yrY98eBsxdr7Hv38dMoKy/HqGVr0XrYeBQUFiIkJAQbN27ktSktLUVUVBR8fHxEf3MNSH5+fhWxORaLBQ8PD2zYsAEPcnPR3rBuNb8LCoug21yT929L43YoKCio8uIp7Avptm3b8Pz5c77fhywhrGN4B0CzuhOEEC4AroF2C9h0Mq6zQY0hZtqQFBQUwMfHB5aWlnj06BGioqJw9epVdOvWTdKmNQq+15latWoV3w5TJ0dHtDPQR3Z4IO8aQXSmHkf9A27ShSpaU9/KccuLzlR1i/hLly6Fqakpxo0bBxaLBdV6RCi+XU7TUFcDm82ussYmzAvp69evsW7dOsyaNQsmJiZ1tkuSCOsYbgPoXN0JGo2mDgAG2nWPZTaWmGlD8PXrV6xZswYdOnTAiRMnsGXLFmRnZ2PYsGHUwnID8q3OVHUEBgXh1fsiPq0pQXSmgB9rTcm6zlQl1S3ix8bG4tixY7yIwqbw4wAA7QGjsTLokMB967XQREHh//v++KUYdDodurq6fO2EeSFdsWIFGAwGVq5cKbAd0oawBRGiAfjTaDRNQsj36RZjAJDHLwvYbDaHUZM6ZE2sDz2GFYH/IGz1kv9ipmkYMGQovnz5AnV1dV47eYiZihMul4t//vkHv//+O969e4dffvkFy5Ytg6ZmtRM9igZg7ty5NZ7r0KEDgoOD4enpCQDYtdgXM0YM/GGf327MCgsLq3YH+bRp0+putBRhZWWF0NBQvmPHjx9HSUkJAGDM6NFoxqAhMesOru3eiPYGgtc4sDczxeWbtzHfYwQAICP3EdTU1ODg4MDXTtAX0qysLOzbtw+bN28WuJqbNCLUjIEQkoWKrKTR1ZyeCuDi2w8fGacTblQdSOiY6XuEhIRg2bJlvDbyEjMVF7GxsbCxscHkyZPRq1cv3L17Fxs2bKCcgpTj4eGB0NBQRF5NhLnndJy4kgA2m1NtWzabgxNXEmA5fhYiryYiLCxMbrWmKqluEb99+/YwMzODmZkZnF1c8OBZxYzM1Ki1UPunfhk9DBdTUvH3oaPIfpiPk9eS8OXLF8ybN4+vnSAvpJXpqe3bt5dqbSpBqMvOZzcAGwGY/beuwIcig3HVQLuFQ3Z4IKNyS3r+qwJ0HDUVORGBP5weF5eUwnL8TNCYKvj0+TMKCwvh7u6OJUuWICkpCf/++y8uXqzZwTRG7t69i8WLF+PMmTOwt7fHpk2b+FL7KGSDzMxMdOtmi7Kyckpr6jvs7e0xadIkTJ8+vcq5tLQ02NjYAADeX4xEsyb/jzAo2PfH/uULMGlgzQ/1yNh4+O09iIcvXoLN4WLDhg1YtGgR73xpaSl0dXURHR1d63rNmTNnMHjwYPz7778YMkRwQcR6IvmdzwBACDkHYC+Aap/wbA5n6rM3bzn1i5l+wIXoaDx58gQBAQG4efMmbGxssGPHDowdOxbiUoSVNd68eYNZs2bB3NwcOTk5OHr0KK5fv045BRnl5s2bKC9n4/Tp0xg+egzuvCnCsr0H4f3nFizbexB33hRh+OgxSE1NRUxsbKNxCkDVRfxvsba25i3iK36j+ivIIj4AuDv/hFsHdqC1nh6cHB35nAIg2CJ+eXk5Fi1aBGdnZwwePFjIu5M+xKWu6kGj0cLrKmb1/fSYzWbj+PHj+Pvvv3H79m1YW1tj8eLFGDlyZKOsG11SUoKtW7fC398fdDodfn5+mD17tsyJpFHwY2trC11dXZw9e5bveGPVmvqebdu2YcSIEWjVqlWVc3l5ebCwsODTStpz4iyyHj7Gzl/n1Nrvj8Q7AwMD0bt371ozjAICAjB37lzcvn0blpaWdbvBuiGeTBJxFXr4toZtpP/yWmvYRvovF6iGLZfLJRcvXuTVkG3Xrh3ZuXMn+fr1q0AVLWQdDodDQkNDSevWrQmDwSBz584VSQERCsmTkpJCAJDTp09L2hSZRVIFo96/f0+aN29OvL29RXxHAiGW53eDVnCbMKAP2fTLNLJv2Xyy6ZdpZMKAPkS3uSYBQJydnISq4Hbr1i0yevRooqCgQLS1tcmaNWtIYWGhcB+pDHH16lVia2tLAJARI0aQBw8eSNokChEyZcoU0rp1a8JmsyVtikwjjhfSHzFv3jyirq5OXr16JcI7ERjZcwyVVJbYs7Wx4SuxZ2tjQywtLYmGhgYpLi6u06eSl5dHZs6cSZSVlYmamhqZN28eefr0aZ36kkbu379Phg0bRgCQbt26kWvXrknaJAoR8/79e6KiokLWrl0raVPkAkFeSCtLCgv7Qvo99+/fJwwGg6xbt06EdyAUsusYvofD4fD+/+HDh4RGo5HAwMC6fSz/8fr1a7J8+XKiqalJGAwGmTBhAsnKyqpXn5Lk7du3xNfXlzAYDNKmTRsSHh7O97lRyA9bt24lDAZDUm+cckvlC2lbIyOiQKPxvZD+qOazoAwZMoS0bt1akuFs+XEM3zN06FDSuXNnwuVyhfpEquPz589k8+bNxNDQkAAgAwcOJNeuXRNJ3w1BaWkp2bBhA9HQ0CBNmzYlf/31FykpKZG0WRRigsvlkk6dOpHRo0dL2hS5Zf369URDQ0PkL1YxMTEEAImIiBBpv0Iiv44hLi6OACAXL14U6hOpjbKyMnLw4EHSpUsXAoDY29uTqKgoqX3r5nK55PDhw8TIyIjQ6XQye/Zs8ubNG0mbRSFmYmNjCQASFxcnaVPklmXLlpE2bdqItE82m00sLS2Jvb29pF865dcxcLlcYmlpSdzc3IT6RASBw+GQM2fOkJ9++okAIJ06dSLBwcGktLRUpGPUh+vXr5MePXoQAGTw4MHk7t27IrKMQtoZNWoUMTU1lfTDRa6ZNWsWsbS0FGmf+/btIwDIjRs3RNpvHZBfx0AIISEhIQQAuX//vrCXCkxiYiIZOnQoAUD09fXJ+vXrycePH4XupzJ2aWNtzbeYbmNtLVTsMi8vj4waNYoAINbW1iQ2NlZoWyhkl5cvXxIGg0G2bdsmaVPkGg8PD+Lo6Ciy/j59+kR0dXXJuHHjRNZnPZBvx1BSUkJ0dHTI7Nmzhb1UaO7evUumTJlCFBUViYaGBvntt9/Iy5cvf3jd99kOE936kM1zp5N9y+aTzXOnk4lu/892cHJ0rDHb4f3792TBggVEUVGRGBgYkIMHD0ptiItCfKxZs4aoqqqSoqIiSZsi1wwYMIAMGzZMZP0tW7aMKCsrkydPnoisz3og346BEEJWrlxJVFVVyfv37+tyudA8f/6cLFq0iDRp0oQoKSkRHx+fGmcs3+ZHH/f3qzU/+ri/X7X50SwWi2zZsoVoamoSdXV1snbt2jqn6VLINmw2m7Rq1YpMnTpV0qbIPT169CCTJ08WSV/5+fmEyWSS33//XST9iQD5dwyvXr0iioqKZMOGDXW5vM48fPiQqKmpES0tLUKj0cjIkSNJcnIy73xYWFi9dlSGhoaS48ePkw4dOhAFBQUybdo0XmriyJEjyaZNmxr0fikkz7///ksAkFu3bknaFLmnU6dOZP78+SLpa+zYsURPT498/vxZJP2JALE8v8WilVSptlGXiyZOnIgrV67g4cOHDaaDtGjRIhQVFWHnzp04dOgQ/Pz88Pr162rbFpw9LLCsb1beYwxatALPXr8FAHTq1AmRkZHo0uX/ol6ZmZlwcnLC48eP0bRp3QqaU8gebm5uePfuHVJSUiRtitzTsmVLzJo1C35+fvXqJykpCQ4ODggODsaUKVNEZF29kQ51VXEzd+5cPH36FCdPnmyQ8UpKShAcHAxvb28oKyvDx8cHeXl52LdvH7p27QoFGg2GOlro080Kva3MhdJ6Ly0rw/DePaGl0RQMBgPTp0/ncwoAYGFhASMjI4SFhYn4ziiklcePH+PChQuYMWOGpE1pFBQVFaFZs2b16oOQiloLXbt2xcSJE0VjmBQjdY7B2toaP//8M7Zt29Yg450/fx4MBoNPqlpdXR1Tp05FUFAQuITgD58JuHo7C1MGuwrVd7fOJtg6fwb2/PYL2Gw2nj9/Xm27IUOGICIiol73QSE77N27FxoaGhg7dqykTZF7SktLwWKx6u0YDh8+jBs3bmDLli2g04WrTimLSJ1jAIB58+YhISEBt27dEvtY165dg62tbbXnDh48CENdHbz98BGqyky4O/1UpzGG9LIHXUEBycnJ1Z63s7NDSkoKWCxWnfqnkB1YLBaCg4MxceJEqKqqStocuaey6lt9qhiWlJRgyZIlGDZsGBwdHUVkmXQjlY5hyJAhMDIyapBZQ35+PvT1q68Rm5SYCBcbCxw8dwke/Zygoly3egcMBh3KTCU8yc+v9ryBgQFYLBYKCgrq1D+F7HD8+HG8e/eOCiM1EB8+fACAes0YNm/ejIKCAqxfv140RskAUukY6HQ6fH19ceTIEbx8+VKsY5WUlEBZufpCQtk5OdBQV8Odx08xVcgw0vcoMRh4+epVtedUVFQAAF+/fq3XGBTSz+7du+Hk5IROnTpJ2pRGQaVjqOuM4dWrV/D398ecOXNgbGwsQsukG6l0DAAwdepUMJlM7N69W6zjaGlp8RUZr4TL5YLFYiHtfh66GreHTaf6fSkUFBTA4XCqLU34/v17AIC2tna9xqCQbrKyspCQkCDzheJlicq/7brOGPz8/KCsrFzvjCZZQ2odg4aGBiZPnow9e/agtLRUbONYWVnhzp07VY4rKChASUkJN+88EHrRuTq4XC7odHq1JRqzs7NhaGgILS2teo9DIb3s2bMHenp6GDZsmKRNaTTUJ5SUnp6O/fv3Y9WqVfVao5BFpNYxAICvry8KCwsRHh4utjFcXV2Rk5NT7ayhpZ4e2BwOPF2d6tR3WXk50h88RPqDhygtK4OWlhbS09ORl5fH1y4+Ph79+vWr0xgUssGXL19w6NAheHt7Q1FRUdLmNBqKioqgqKgo9EJ/ZXqqiYkJpk+fLibrpBepdgzGxsYYNGgQtm7dCnFtxDM3N4etrS2OHj1a5RyrrAxKiopoUsOXSsG+Pw6cvVhj3y/fFcJ64mxYT5yNElYZXr9+DSsrK3h7e/PalJaWIioqCj4+PvW/GQqpJSwsDMXFxZg2bZqkTWlUfPjwAc2aNQONJtw+sFOnTiEuLg6bNm1qlI5cqh0DUJG6mpWVhbi4OLGN4efnh23btlWJ/589exYlLBZOJ9yock3+qwIw6HT0tOhS5VwlRi31wE26gEj/5QCA1NRUEEJw5coVXpvg4GB0794dPXr0EM3NUEgdhBDs3r0bgwYNQqtWrSRtTqOiqKhI6DBQWVkZFi1ahH79+mHAgAFisky6kXrH4OTkBDMzM2zdulVsY7i5uWH69Ol48eIF33Fra2s4OTri1x3BKC7hX+e4kJQKn6EDYNzKoNa+i0tKsXjHfjg5OsLa2rrKeUVFRQQEBNT/JiikluTkZGRkZFApqhKgcsYgDDt37sSjR4+wadMmoWca8oLUaSVVR3BwMHx8fHD//v0GTxnLy8uDhYUF3Hs7IMRvYbWLxzXB5XIxec0mRF5NRGZmJjp06CBGSymklYkTJyI+Ph55eXlCfX8o6o+7uzs+f/6M6OhogdoXFhaiQ4cOGDNmDPbs2SNm60RC49BKqo5x48ahRYsWEnmz7tChA4KDgxEaHYvJazZVmTnURHFJKSav2YTQ6FgEBwdTTqGRUlhYiCNHjmD69OmUU5AAwoaSVq9eDS6Xiz/++EOMVkk/MvFNVVFRwYwZMxASEoKPHz82+PgeHh4IDQ1F5NVEWI6fiRNXEsBmc6pty2ZzcOJKAizHz0Lk1USEhYXBw8OjgS2mkBYOHDgAQog0qXE2KoQJJd27dw+7du3C77//Dh0dHfEaJuXIRCgJAF6+fAkjIyP8/fffmD9/vii7Fpi8vDz0d3XFw0ePYKCjBRebrrA0bgcNdTV8/FKMjNxHiEnNwIs3b+Hs5IS9gYHUTKERw+VyYWJiAjs7O0o9V0K0a9cOY8aMgb+//w/bDho0CHfu3MHdu3fBZNZN/kYCiCWU1DAFD0SAvr4+xowZg+3bt+OXX36RiMJh27ZtUc5mY/DgwWjTpg1uJCXhSOxBsFgsMJlMmJuZYfjoMZg8eXK1C80UjYuYmBjk5eUhJCRE0qY0WgSdMVy6dAlnz57FsWPHZMkpiA2ZmTEAwK1bt9CtWzecOHECw4cPF3X3P+T06dMYMmQIUlJS0K1bN95xLpdLxY8pqjBixAjk5uYiMzOz0Wa3SBIulwtFRUXs3r271v0jbDYbVlZWaNasGa5duyZrv6vGu/hcia2tLXr27CnW1NXa2L17N2xsbPicAgDKKVBU4cWLFzh16hRmzpwpaw8aueHz58/gcrk/nDHs378f2dnZ2Lx5M/W7+g+Ze6LNmzcP165dw+3btxt03MqqW5QAGoUgBAUFQVlZGV5eXpI2pdEiiE7Sp0+f4Ofnh/Hjx1d54WvMyJxjGDZsGFq3bt1gFd4qCQwMRNOmTamqWxQ/pLy8HEFBQfDy8qLqeEsQQYr0/Pnnn/j8+TP+/PPPhjJLJpA5x8BgMODr64uIiIgGK2zzbdUtNTW1BhmTQnY5c+YM/tfevcfFlP9/AH/NrYsipRLlstYtUrpIF1ZhZdnYVrKE8t2STRfrsiurvduwXbaNEhLpgkh+Viu7LpFKpCL57hZyLaKUarqez++Pvs2abaJSjZn5PB+PeTzWnDOf8z7snPeczznn/X706BF90lnMXnfGcOfOHQQFBeGLL76Ajo5OzwUmASQuMQDNvRp4PF6PPZmYkJCA0tJS+kWn2iUsLAxmZmYYP368uEORaa9r0vPll19CXV0d69at68GoJINEJgZVVVU4OzsjLCysW3s1tAgLC4OVlRV0dXW7fVuUZCsoKMAff/xBr0W9BVqmklRUVFotS01NRXx8PPz8/OgsgAgSmRiA5l4NT548wYEDB7p1O3l5ebhw4QL9olPtEh4eDjU1NTg4OIg7FJn3/PlzKCkptSqbzTAMVq9eDWNjY3pzQBskNjGMGjUKs2bN6tZeDUBz163+/fvTrlvUa/H5fERGRmLZsmVt9hGnek5bdZJiY2Nx+fJlBAUF0VvN2yDRfyurVq1Cbm4uzp8/3y3jV1VVISoqCi4uLpCTk+uWbVDSIz4+HmVlZTLZ8ettJOqp55qaGvj4+GDevHmYPHmyeAKTABKdGKZPn44xY8Z02wNvsbGxtOsW1W5hYWF4//33e7w0PCVaWVlZqzMGf39/PHnyBFu3bhVTVJJBYmolicJisbBq1Sq4ubnh9u3bGDZsWJeN3dJ1a/bs2Rg8eHCXjUtJp5ycHGRkZCAhIUHcocisq1evIjIyEulpaci7cQN1dXXgcDgwMTaGuYUFZs+ejS1btsDb27tLjxXSSKJqJYnC5/MxaNAgLFmyBEFBQV02bkZGBszNzZGUlCSz7f2o9nNzc8Nvv/2Gu3fvgsuV6N9bEqewsBDLXV1x9tw5aGtqYLqJAQxGvIs+Sr1QWV2D3IJb+PNKc9VjBXl5pKWnw9DQUNxhd5VuqeEh8YkBADZs2IBt27bhwYMHXfakqZOTE86fP4/CwkKxVHKlJEdlZSUGDhyItWvX4ttvvxV3ODIlNjYWLi4uGKCmip89PoXtJDNwua2/r42NTTiemoE1IbvwuLwCERER0tInhRbRa4u7u7vgjpCu8HLXLZoUqNeJjo5GbW0tXF1dxR2KTImNjcXixYthP8UCuftDYWdlKTIpAACXy4GdlSWuR++A/RQLODo6IjY2tocjlhxSkRh0dHQwf/58hISEoKlJdGe1jti7dy8YhqFdt6jXarkWNWfOHGhra4s7HKny7NkzaGpqoqioqNWygoICuLi4YLHNVET6roGSYvtuD1ZSVECk7xostpkKFxcXFBYWilzP3t4egYGBbxK+RJOKxAA037p669YtnDhx4o3GYRgGO3bsgL29vcy396Ne7+LFi8jLy6MPQHYDPz8/2NraYujQoa2W/WfZMtTX12H/ydOorK7p0Lg3i+6horoaDfX1GDFihMi7Gr/++mts2rQJlZWVnYxesklNYjA1NYW5ufkb37p65swZFBYW0i861S5hYWEYPnw4pk2bJu5QpAqfz0dERARcXFxaLcvKykLqxYvQf7dzdxbV1NZhxCBteMyfAwB48OBBq3X09fUxdOhQmW3JKjWJAWg+azh79ixyc3M7PUZYWBjGjh2LSZMmdWFklDQqLS3F4cOHsWLFCvoEbRf7/fffweVyYW5u3mrZmjVrIMfjYbN756Z6J4wZhZ89XbF1pQs4bDYuXbokcr05c+YgLi6uU9uQdFL1f7OdnR10dHQ63avh4cOHOHbsGO26RbXLnj17wGKx4OzsLO5QpM758+dhYmLS6v38/HxcvHgRtpMmgsd7sxtDuFwOFOTlcFfENQygeRYiMzMTdXV1b7QdSSRViYHH48HDwwMxMTF48uRJhz+/e/duKCgoYMmSJd0QHSVNGIZBeHg4FixYgH79+ok7HKlTVFSEgQMHCr1XV1cnuMXUUn9sl2xHjsvFo+Jikcu0tbVRV1fXY31f3iZSlRgAwNXVFRwOB+Hh4R36XGNjI3bt2gVHR0fadYt6reTkZNy5c4dei+omfD6/VSFCHx8fjB49Go2Njeij1KtLtsNms9HU1ASGYVotU1RUBNBcX0nWSF1iUFNTg5OTE0JDQzt0Cnj8+HE8fPiQftGpdgkLC8P48eMxceJEcYcildTV1QX9FFqcOXMGhw8fBgAs9/sF0z19AAAaHzjgm137O7UdhmHA4XBEXiMqKytrHl9Do1NjSzKpSwwA4OXlhZKSEhw6dKjdn6Fdt6j2unfvHk6cOIEVK1bQa1HdxNDQEPn5+ULvHTlyBLm5uRijq4sPJ03ELp9VAIDzYf5YOc+2U9upb2zEwAEDRC7Ly8uDjo4O1NXVOzW2JJPKxKCrq4uZM2ciKCioXb0aaNctqiN27doFJSUlODo6ijsUqWVjY4MbN24InTW8++670NPTw9Rp05D11y0M7t/8S1536GBoqvVt99j1DQ3I+fsWrtz8G/y6eqhraCAnJ6fVw24XLlzAjBkzumR/JI1UJgYA8Pb2RnZ2NlJTU1+7Lu26RbVXQ0MDdu/ejSVLlkBZWVnc4UitcePGwcTERORZ/7Jly/DwSSnSrueL+CTANp+JvSdOtTn2o6fPYOS0Eqb/8QLDMMjOzoahoaHQMxO1tbU4evSozJY5kdrEMGPGDIwePfq1D7zRrltURyQmJqKkpISeXfYAX19fBAcHt7owbGRkBCNDQ0QcT8aLM4no2/ufBF1UXAIuh/PKu5aGDtDCizOJGKY9ENZWViCEgBCCc+fOCdaJiIjAxIkTYWZm1uX7JQmkNjGw2Wx4e3sjMTGxVa2Vl/9Ho123qI4ICwvDpEmToKenJ+5QpN6sWbPg5uaGhw8fCt5jGAabN29GTm4uHpU+w2dbQ4S+zyfTs+A69wOMGNR23SqGYeC+NQTFZeXYuWuXyHV4PB5CQkK6bmckjFSU3W5LdXU1Bg0ahNmzZ6Nv375CDTzk5eWhN3YsHjx8iCFDhrT59CNFtfjvf/8LXV1dxMTEYNGiReIOR+Y8ffoUTk5OSEpKwoYNG6Crq4ulS5disc1UhH7h2a5CetX8WrhvDUF08hnExMRIQ+ntbrn7Qao7ihQXF0OlTx9ER0cLGng4TnYWauDxoOg2MjMzMdXaGjt37cLw4cPFHTb1ltqxYwc0NDQwb948cYcicy5evIhPPvkEfD4fv//+O2bOnAmgeWbAxcUFF6/fxFaP/2DOJPM2+zH8X2o6vti2B8Vl5dKSFLqN1J4x/NPAoy9+9nB5bQOPddsiUFxWLk0NPKguVFNTA21tbbi5uWHz5s3iDkdmMAyDgIAA+Pj4wMzMDAcOHICOjo7QOv/u4DbN2AAGI4ZBRVkJFVXVyC24jdNZzR3cplpbI3znTmn6AUg7uLVXSwOPzp5iRkdH06kCSsiePXvg4uKCW7du4Z133hF3ODKhrKwMTk5O+O233/Dll1/ihx9+AI/Ha3P9lp7PGenpuJ6XJ5gyHqenBzNzcyxbtgxGRkY9uAc9giYGoLl5h66uLjIzM0XWaS8oKICBgQHsp1gg0ndNh6peMgyDZT8E4HBKGq5du9bqV4W9vT0sLCywevXqN90NSsJMmDABGhoaSEpKEncoMiEjIwMLFixAVVUVoqKiMHv27A6PwTCMLFS9pa09gdbNO/bu3QsWiyV4jRw5Enw+H/tPnsbT5x1rsnE0JQ2ZN/8Cn8+HgYEBjh49KrRc1pt3yKorV67gypUrWLFihbhDkXqEEAQGBmLy5MnQ1tZGdnZ2p5ICAFlICt1Gov7mRDXvWLBgAYqLi1FcXIyTJ08CAMaPeBdTDMd16GnI9Ov5+MT3Jyz9YDqCP1+BmpoazJ8/X+huJVlv3iGrwsLCBHe3Ud2nvLwcdnZ2WLNmDby9vZGSkoLBgweLOyyZJFGJQVTzDkVFRWhpaUFLSwu//fYbBmio48adu/iPrU2Hxg4+mIj3JxjBx+kTfPaxLbQ1NaCtrd3qATlZbt4hi54/f464uDgsX74cHM6b1f+n2nb58mUYGRkhJSUFx44dg7+//yuvJ1DdS6ISQ1vNO1qkp6VBu58qeinIw956cofGTs+7ifdNmy9McbkcTDM2AMMwSEtLE1pPlpt3yKKoqCg0NDSIbDFJvTlCCH799VdYWlpCU1MT2dnZmDNnjrjDknkSlRhENe94Wd6NG7j/5CkWzrCGooJ8h8YueVaO/mqqgj8bjBiGkpKSVk06ZLl5h6whhGDHjh2ws7ODlpaWuMOROs+fP4e9vT28vb2xcuVKXLhwQeQNJVTPk6gH3EQ172jBMAzq6urwuK4On3ZwGqnFyxWUVZSV0NjYCHl54QQjy807ZMHLd7KkpKTg5s2b2L59u5ijkj5ZWVlwcHDAs2fPkJCQADs7O3GHRL1EohKDqOYdLdhsNthsNgb0U4Xx6BEdHlurnypKnv0zdkVVNTgcDvr37y+0niw375BGLfe+iyqXUlFZiaFDh8LKykrcYUoNQghCQ0OxevVq6Ovr488//6TPhbyFJGoqSVTzjhZVVVUAAG2NzjXVMNfTxZ+XswV/zi24DSUlJVhYWAitJ8vNO6RJYWEhplpbw9jYGEcPHYSelhr8Vjhj94bP4bfCGXpaanhR9hRFRUWYNnVqq1r9VMdVVFRgwYIF8PDwgJubG1JTU2lSeEtJ1BmDjY0NfHx8UF5eDlVVVaFlBw8eBIvFwv0nT9HY2CSy/MWreDl8hCnua7Fl/yHMtjBF4vl0VPH5WLVqldB6sty8Q1r8Uy5FFUf8fNtVLkVfX5+WS3kD2dnZmD9/PkpLSxEfHw97e3txh0S9gkSdMbyqeUdERATef/99FD99huOpGa2Wv655h4X+GMR974O9v52CkZM7KqursWXLFqGevrLevEMatJRLsZ9igdz9obCzsmzzRwSXy4GdlSVy94fCfooFHB0dERsb28MRS7aWC/jm5uZQUVHB1atXaVKQABJXEiMpKQlr165FXl6eyCcbp1pb427B38jdHyqokVRUXIKR8z/Fjbidr6zTDjTXTBq70BU1TQwyMy8Lnepu374dx44dw6lTbScYSrxeVTKlO8ulALRkyr+9ePECy5cvx4EDB+Du7o6AgADaDKvr0ZIYgOjmHS/buWsXisvK4f5SA4/2NO8A/mng8fh5BXg8OYwdOxZbtmxBQ0MDANq8QxL8u2RKi71798LQ0BC1fD6SL2XBKzCsQ+NGHE9G4cNHqKutha6uLqZPn47MzEyhdWjJlH9cu3YNJiYmOHHiBA4cOIDt27fTpCBBJO6MoT3i4uLg6Oj4Rg08bG1t8e233yIoKAhjx45FeHi40BPX1NuHz+dj4MCBSEpKEvq3CgwMxObNm1FaWorta1fiPcNxuP2wBLaT29+2cfE3W2ChPwb8ujqsC9mNOXPmICUlBTdu3IC29j8/OIyNjeHi4iKzrT8JIYiIiICnpydGjRqF+Ph4jBjR8bsEqXajZwzttXDhQkRHR+NwShoMlrgj4VwqGhubRK7b2NiEhHOpMFjijsMpaYIGHsrKyvD398eVK1cgLy8PS0tLuLu74/nz5z27M1S7iSqZUl5ejo0bN8LCwgI6/TXhOncWxg4b2qGkAADR330J93m28Hawg7amBnR0dMAwDE6fPi20niyXTKmqqsLSpUvh6uqKpUuXIj09nSYFCSVRdyV1xKJFi2Bqaorlrq6w9/mxXQ08kkU08DA0NERGRgZCQ0OxYcMGHD16FMHBwZg/fz5YrG5J1lQniSqZ8scff4BhGOTm5OBFVRXe+dgJFuN04e+1HIP6d/xZlJZyKelpaWhoaICamprQclNTU/j5+Qmeh5AVeXl5mD9/Pu7fv09bn0oBqTxjaDF8+HCcOXsWWVlZsHNYgPwn5dgQvg8uPwVhQ/g+5D8ph53DAmRlZeH0mTNtdnXicDjw9PTEzZs3YW5ujgULFuDDDz9EUVFRz+4Q9UqiSqbcvn0bDMPg7r17WPC+FeJ/+gpllS8ww8sH9f+7dtRRBiOGIffaNWhra2P69OlCy2SxZEpkZCRMTU3B4/GQlZVFk4IUkNozhpcZGRkJdW7qbAMPHR0dJCQk4NixY/Dw8MCYMWPw3XffYdWqVbQS5FtAVMkUhmEENw+YjhkFMz1dxH6/HgM+XISzWbmwMWu7KGNb0q7ng2EYHD58uNX2ZKlkSnV1NVauXIl9+/bh008/xa+//opevXqJOyyqC0j1GUNb3rSBx9y5c5Gfn48VK1Zg/fr1MDExEerbQImHqJIpAwYMAADIycmhsrr5YK2h2hfqKn1w73Fph7fhH3MYJy5mgsfjYfz48a2Wy0rJlPz8fJiamiI+Ph5RUVHYvXs3TQpSRCYTQ1fo3bs3AgMDkZmZKbjg6eHhgYqKCnGHJrNElUyxtLQEAAwZPBi5BbcAAGUVL/C0ohJDtDQ7NP7P0fH4MTIW1kYGMNDXF7mOLJRMiYqKwoQJE8BisXDlyhUsWbJE3CFRXYwmhjdkbGyMS5cuISgoCPv27YOuri4OHz6MbrwNmGqDjY0Nbty4IXTWMHLkSMydOxfPyspwIv0Kcv6+Becf/DF6iA6sjQ3aPfbW6Hj47ozCzvWrkF1wG+P09VFSUiKo0dVCmkum1NTU4NNPP4WTkxMcHBxw6dIl6OrqijssqjsQQrrrJXPu3btH5s6dSwCQ2bNnk6KiInGHJHPMzMzIjh07hN6rqKggtra2BABRVlQkdlMsyN3E/YRJPyl4ASB7Nq4Weu/l1xAtTYLmZ3OEXt98841gO3w+n/Tp04ekp6f38F53v5s3bxI9PT2iqKhIIiMjxR0O9Y9uOX7TM4YuNGjQICQmJuLo0aPIycnBmDFjEBAQgMbGRnGHJjN8fX0RHBwseOodaL4zqaSkBBw2G+p9+yDqmy+EblUtKi4Bl8OBpf7YNse9czQKL84kYpj2QFhbWQm+QN9++61gnYiICEycOBFmZh17RuJtFxsbCxMTEzQ2NiIzMxPOzs7iDonqZjQxdIOPPvoI+fn5cHFxwbp16zBhwoRW5ROo7vFyyZTq6mqsW7cOJiYmqKmpQWxcHB4/rxQqlwK0r2QKwzD4bOuvKC4rx85du0SuI20lU/h8PpYvXw5HR0fY2dnh8uXL0NPTE3dYVE/orlORbjlpkkCZmZnE0NCQsFgs4unpSSoqKsQdkkw4ceIEGTJkCFFQUCCbNm0idXV1hBBCYmNjCYvFIktmTiMvziS2OXX08uvFmUSyeOY0AoBYWlqSxsZGMe9d9/vrr7+IgYEBUVBQILt37yYMw4g7JEq0bjl+08TQAxoaGkhAQADp1asXGThwIDly5Aj9onWT4uJi4uDgQACQ6dOnk4KCglbrxMTEEEVFRTJMeyA57LeR1F84ITIh1F84QQ77bSTDtAcSRUVF4unpSdhsNnF2diZNTU1i2LueceDAAaKsrExGjhxJcnNzxR0O9Wo0MUi6oqIi8uGHHxIAxNbWlty9e1fcIUmNpqYmsmPHDqKiokLU1dXJ/v37X5l8CwoKiLWVFQFAtDU1yNIPppMAr+Vk94bPSYDXcrL0g+lEW1ODACBTra0FCSY6OpqwWCzi6uoqdcmBz+eTFStWEABk4cKFpLKyUtwhUa9HE4M0YBiGHDlyhAwcOJAoKSmRwMBA0tDQIO6wJFpeXh6xsLAgAMiyZcvI06dP2/3ZrKws4uHhQUyMjYm8vDwBQOTl5YmJsTHx8PAgWVlZrT4TGRlJWCwWcXd3l5ozv4KCAmJoaEjk5eVJeHi41OyXDKCJQZpUVFQQDw8PwmKxiKGhIbl8+bK4Q5I4NTU15KuvviI8Ho+MHDmSnD179o3HbO9ZwK5duwgA4u3tLfEH0UOHDpHevXuT4cOHk+zsbHGHQ3UMTQzS6NKlS8TAwICw2Wzi5eVFT9/b6c8//yTDhw8ncnJy5JtvviG1tbU9HkNoaCgBQNauXSuRyaG2tpasXLmSACAODg70xgjJRBODtGpoaCD+/v6kV69eRFtbmxw9elTcIb21njx5QpYsWUIAkPfee4/cvHlTrPEEBwcTAMTHx0eiksOtW7eIsbExkZOTI9u3b5eo2CkhNDFIuzt37pBZs2YRAGTu3Lnk3r174g7prcEwDImMjCT9+vUjqqqqZPfu3W/NxV9/f/9WT0G/zRISEoiKigoZNmwYuXLlirjDod4MTQyygGEYEh8fTwYMGECUlZXJL7/8IhP3zb/KX3/9Raz+dwfRokWLyOPHj8UdUit+fn4EAPnxxx/FHUqb6urqiLe3NwFA5s2bR54/fy7ukKg3RxODLHn+/Dlxd3cnLBaLGBsby+Qvu9raWvLdd98ROTk5MmzYMJKcnCzukF7p+++/JwDIli1bxB1KK3fu3CGmpqaEx+ORX3/9lU4dSQ+aGGRReno60dfXJ2w2m6xatYq8ePFC3CH1iPPnzxNdXV3C5XLJ+vXrSXV1tbhDahdfX18CgAQGBoo7FIHExETSt29fMnToUJKZmSnucKiuRRODrKqvrydbt24lioqKZNCgQeTYsWPiDqnblJWVERcXFwKAmJmZkWvXrok7pA5hGIZ8+eWXBAAJCQkRayz19fVk9erVBAD56KOPSFlZmVjjoboFTQyy7vbt22TmzJkEALGzsyP3798Xd0hdhmEYEhsbSzQ1NUmfPn3I9u3b35qLyx3FMIzggPzvEuA95e7du8TMzIxwuVwSFBREp46kF00MVPNB5+DBg0RLS4soKyuT4OBgib84fevWLWJjY0MAEHt7e/Lw4UNxh/TGGIYhXl5eBACJiIjo0W0fP36cqKqqksGDB5OMjIwe3TbV42hioP5RXl5OPvvsM8JisYiJiQm5evWquEPqsPr6erJ582bBFNnx48fFHVKXYhhG8G+0b9++bt9efX09WbdunaAW17Nnz7p9m5TY0cRAtZaWlkb09PQIm80mq1evlpiL0xkZGYKL6p9//rnExN1RTU1NxMXFhbDZbBITE9Nt27l//z6xsLAgHA6H/Pzzz3TqSHbQxECJ9vIv78GDB7/Vv7wrKirIypUrCYvFIkZGRjJxG25TUxNxcnIibDabHDp0qF3rd0RSUhLp168f0dHRIRcvXuxsmJRkoomBerVbt26RGTNmCB5gevDggbhDEvh3VdmgoCCZqirb2NhIHB0dCYfDIQkJCULLWiq8GhsZCVV4NTYyarPCKyHNpVR8fHwIADJr1qwOVZWlpAZNDNTrMQxD4uLiiKamJunduzcJCQkR+8Xpe/fuEVtbW5nvQ9HQ0EAcHBwIj8cjx48fb9UTwmnWdBLo7UZ2b/icBHq7EadZ//SEsLayEmo69ODBAzJ58mTC4XDI5s2bJfYOLuqNdcvxm0UI6bauod01MPV65eXlWL9+PXbu3AlTU1OEh4dj/PjxnRqLYRiw2R1vD97U1ISQkBBs3LgRffr0QUhICD7++GOwWKxOxSENGhoa8Mknn+DYsWPgcrnQVu+Hnz0+he0kM3C5nFbrNzY24XhqBtZti0BxWTkiIiLQr18/LF68GHJycjhw4AAmTZokhj2h3hLd8mXq+LedkgiqqqoIDw9HamoqqqqqYGJignXr1qG6uvq1n7169So8PT1hYmwMBQUFcDgcKCgowMTYGJ6enrh69Wq7xpg4cSJWr14NZ2dn3Lx5E/PmzZOJpPDs2TNoamqiqKio1TIej4e5c+eCaWqCvZUlcveHws7KUmRSAAAulwO7/603b4oFHB0dYWNjAyMjI2RnZ7dKCvb29ggMDOyO3aJkCE0MUs7S0hLZ2dn4/vvvsW3bNowdOxZJSUki1y0sLMRUa2sYGxvj6KGD0NNSg98KZ+ze8Dn8VjhDT0sNRw8dhLGxMaZaW6OwsLDVGFVVVVizZg0mTJiA+vp6pKWlYdu2bVBRUenuXX1r+Pn5wdbWFkOHDhV6f+/evRg9ejScnJwgLycHFaVeUFJUaNeYSooKWOdoDx0NdQBAcnIyYmJiWq339ddfY9OmTaisrHzj/aBkF1fcAVDdT05ODhs2bICDgwPc3d0xe/ZszJ8/H8HBwRgwYAAAIDY2Fi4uLhigpoojfr7tmtrQ19dHREQEFi5cCAA4ceIE3N3dUVpaip9++gmrV68Gj8fr0X0VNz6fj4iIiFbJNzAwEAEBAeirooLBWpo4vGkjip+VdWjs2vp62FlZ4sAfKXjexpmfvr4+hg4dipiYGHz22Wed3g9KttFrDDKGEIK4uDisWrUKdXV12Lx5M3r37o2lS5disc1UhH7h2a5fsdX8WrhvDUF08hmEhIQgJSUF8fHxmDFjBsLCwjBs2LAe2Ju3T0JCAtzc3FBaWip4r7y8HNra2ggICIC7uzuO+PnCzsqy89s4lwp7nx+xZs0a+Pv7t1r+3Xff4fTp0zh//nynt0FJDHqNgeqcl+e8WSwWFi1ahP/+97+CM4hlzs5wtJmKSN81HZraiPRdA0ebqfDy8sLp06cRExODkydPCiUFWZvzPn/+PExMTITe++OPP8AwDBISEsDlcOAVGIoFX23C/celbYzyanMmmYPDZuPSpUsil5uamiIzMxN1dXWdGp+iaGKQAaLmvNXU1GBpaQkFBQU0NjXh1KUseAWGdWhcNpuNmWbG4LBZKC8vx48//ojExEShdWRtzruoqAgDBw4Ueu/27dtgGAYXLlyAlZE+4n/aiLLKF5jh5YP6hoYOb4PL5UBBXg53RVzcBgBtbW3U1dWhpKSkM7tAUfQag7R71Zz35s2bUVtbi+1rV+I9w3G4/bBjB5L06/lw+sEfC6ZPQWzyWUydOhUODg5ITU3FxIkTAUjHnDchBHV1deDz+W2+amtrwefzUVhYiPLycgQEBAiWpaSkoKGhAWw2G7MsTGGmp4vY79djwIeLcDYrFzZmJq8P4l/kuFw8Ki4WuUxRUREAUFNT80b7Tckumhik3O+//w4ulwtzc3PBe+Xl5di4cSNmzJiBrIx0uM6dBS6Xg7HDhnZo7OCDiXh/ghH2blyLlOw8sFgsTJs2Db/88gvi4uIE682ZMwdxcXFdkhgIIaivr291QH7dAftN1qmtre1QjCwWCzk5OVBUVISCgoJgSodhGPRR6gUA0FDtC3WVPrjXyekkNpuNpqYmkc+YlJU1X9TW0NDo1NgURRODlHvVnHduTg5eVFXhnY+dYDFOF/5eyzGof/sPJul5N7FqgR24XA6mGRvgfEoKPpg1C/v27UNaWprgwFpXV4eMjAxs27YNjY2Nb3xQ78gNExwOB4qKiq1eCgoKgv9WVlaGhobGK9d53Rgtr9DQUMTGxiInJ0cQw99//41Ro0aBx+Ohsrr5V3xZxQs8rajEEC3Ndu/LyxiGAYfDEfngYV5eHnR0dKCurt6psSmKJgYp96o577v37sF17gdwnv0+fMP3YYaXD3KjwyDXzltMS56Vo7+aKgDAYMQwRJ88jWvXrwNofn7i3zw9PdGrV69XHmx79eoFNTW1Dh+Q21qnp2+X/eCDD/DVV1+hvLwcqqrNfzcjR47E3LlzkZycjD8yszB9giE2hEVi9BAdWBsbtHvs+oYG5N+5B6D51lV1dXXk5ORAWVkZw4cPF6x34cIFzJgxo2t3jJIpNDFIOT6fDwUF4TuNGIZBw/8uepqOGfVGc94tDzKrKCuBIQQbN27E1q1bkZ2dLThIP3r0CMbGxrhx4wbGjBnTZfv2Nho3bhxMTExw6NAhuLm5Cd6PioqCmZkZTmZk4dKNvzDFcBx+D9oEHvefryDbfCb2bFwN59miD+qPnj6DkdNKwZ/5jx/D0NAQU6ZMwblz5wAAtbW1OHr0KJKTk7tnBymZQO9KknLq6uooLy8Xeq/loTY5OTnB1EZn5ry1+qmi5Fnz2BVV1ZCXl4eamhq0tLQwZswYvPPOO9DS0hIkIU3Nzk2bSBpfX18EBweDYRjBe3369EF0dDQIIdjlswpHNn8tNG1XVFwCLocDS/2xbY47dIAWmPSTOOy3EQCQlZUFQoggKQBAREQEJk6cCDMzs67fMUpm0MQg5QwNDZGfny/0Xss0z5DBg5FbcAtA5+a8zfV08eflbABAbsFtjNPTw6lTp2BhYSG0nqzNec+aNQtubm54+PCh0PtGRkawtrLCum0RqOYLX9A+mZ4F17kfYMQg7VeOXc2vxRfb9sDaygpGRkatlvN4PISEhLz5TlAyjT75LOWuX78OIyMjPHnyRDDnDQAfffQRLly4ADZhcOqXTfh6ZxRuPypGdlSo0PTGq6Rdy8cU97X43nUpgg8dw7ujRuPy5ctCt6sCgLOzMzgcDiIiIrp8/yRNYWEh9PX1YT/FApG+azpUtZZhGCz7IQCHU9Jw7do1oesKlMyiTz5THffynPfLoqKiMHnyZDwtf473VqwFj8sROee998SpNse20B+DuO99sP3IcTwpK0dxcTEOHjwolBRa5rxdXV27fuck0PDhwxEREYHo5DNY9kNAqzOHtlTza7HshwBEJ59BREQETQpUt6JnDDIgKSkJa9euRV5eXqtfqFOtrXG34G/k7g8VKodRVFyCkfM/xY24na+c3qjm18JgiTuGjBiJM2fPtlq+fft2HDt2DKdOtZ1gZNHLRQu3evwHcyaZt1m08P9S0/HFtj2CfgwtRQspCt10xkATg4wIDg7Gxx9/jEGDBgm939bUxo6EE7h+6w62r/Noc8z2TG3s3LkTU6ZMwahRo7p2h6RAYWEhlru64uy5c9DW1MA0YwMYjBgGFWUlVFRVI7fgNk5n5eLhk1JMtbZG+M6d9EyB+jeJSwyUhGCxWAsBxCyeOQ1hX3iy2ltd9bOtIST65GkAcCSExL3uM5RoLBbLCMAyHpczqamJGcsQwmOzWA0cNvtGQ1NTKoBIQsjruyNRVBehiYECALBYrEVsNmvPIE0NToD3cu7rpjbWBO9svP+ktIlhyDKaFLoWi8ViE0KY169JUd2DJgZKgMViDedyOBGNTU3v9VdTbbSZaMz999RG8qWsxsdl5Vwuh5PS2NTkQghp3caNoiiJRhMD1Qqd2qAo2UYTA/VadGqDomQLTQwURVGUEPqAG0VRFCWEJgaKoihKCE0MFEVRlBCaGCiKoigh/w+wiZN2u9PXngAAAABJRU5ErkJggg==", "text/plain": [ "Graphics object consisting of 61 graphics primitives" ] }, "execution_count": 19, "metadata": { }, "output_type": "execute_result" } ], "source": [ "graphs.CubeConnectedCycle(3).plot()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Manifolds\n", "\n", "More functionalities in index notation for tensors" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "E. = EuclideanSpace()\n", "v = E.vector_field(-y, x)\n", "t = E.tensor_field(0, 2, [[1, x], [-2*y, x^2]])\n", "v['j']*(t['_ij'] + t['_ji']) == v.contract(2*t.symmetrize())" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "v" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "t" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "v['j'], t['_ij'], t['_ji']" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "t.symmetrize()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "@interact\n", "def func(k = slider(0, 10, .1), j = (-10, 10), l = range_slider(-5, 5)):\n", " print(\"k: %s\" % k)\n", " print(\"j: %s\" % j)\n", " print(\"l: [%s, %s]\" % l)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "var('t y')\n", "plot_slope_field(y - t, (t,0,10), (y,0,6), plot_points=25)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Cellular Automata\n", "\n", "https://doc.sagemath.org/html/en/reference/dynamics/cellular_automata.html" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "G = cellular_automata.GraftalLace([2,0,3,3,6,0,2,7])\n", "G" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "G.evolve(42)\n", "G.plot()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "init = 200*[1]\n", "init[100] = 0\n", "init[101] = 0\n", "ECA = cellular_automata.Elementary(151, width=200, initial_state=init)\n", "ECA" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "ECA.evolve(200)\n", "ECA.plot()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "print(\"Scatter plot and line\") # http://www.packtpub.com/article/plotting-data-sage\n", "\n", "# python function\n", "def noisy_line(m, b, x):\n", " ret = m * x + b + 0.5 * (random() - 0.5)\n", " return ret\n", "\n", "slope = 1.0\n", "intercept = -0.5\n", "\n", "x_coords = [random() for t in range(50)]\n", "y_coords = [noisy_line(slope, intercept, x) for x in x_coords]\n", "\n", "sp = scatter_plot(list(zip(x_coords, y_coords)))\n", "\n", "sp += line([(0.0, intercept), (1.0, slope+intercept)], color='red')\n", "\n", "sp.show( figsize=[6,2])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Torus" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "from sage.plot.plot3d.shapes import Torus\n", "inner_radius = .3; outer_radius = 1\n", "show(Torus(outer_radius, inner_radius, color='orange'), aspect_ratio=1, spin=3)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.2", "language": "sagemath", "metadata": { "cocalc": { "description": "Open-source mathematical software system", "priority": 1, "url": "https://www.sagemath.org/" } }, "name": "sage-9.2", "resource_dir": "/ext/jupyter/kernels/sage-9.2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }