{ "metadata": { "language": "Julia", "name": "", "signature": "sha256:ea574d49db0d49f3ae01b39a1ec27bbe3c45d1b378ac631c1547edfb3b0785bc" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Logistics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- CV is out today -- David Bindel (me) covering\n", "- CV cannot make OH today, but will be available 10:30-4:00 tomorrow\n", "- Will answer Piazza questions tonight" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Topics du jour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "CV asked me to cover some basic linear PDE solvers and two-point ODE boundary value problems,\n", "specifically:\n", "\n", "- Shooting methods (two-point BVP)\n", "- Heat equation and Crank-Nicholson\n", "- Wave equations\n", "\n", "I don't know exactly what he's covered thus far, but am assuming that you've seen (and mostly\n", "remember) some basic ODE initial value problem solvers and something about finite difference\n", "approximations of derivatives. I'm in the office next door to CV, and often we both have our\n", "doors open during his OH, so I think that's a fair assumption.\n", "\n", "I'm also going to use this as an excuse to play with a teaching technique that I've contemplated\n", "for a while, namely real-time demonstrations with a notebook environment." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "An elliptic model problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with a model two-point BVP:\n", "$$\n", " -\\frac{d^2 u}{dx^2} = f \\mbox{ on } (0,1), \\quad u(0) = u(1) = 0\n", "$$\n", "It's always good to start with problems that we know how to solve by hand,\n", "so let's use a simple right-hand side, $f \\equiv 1$. Solutions to the\n", "differential equation (without boundary conditions) take the form\n", "$$\n", " u(x) = -\\frac{1}{2}x^2 + bx + c\n", "$$\n", "and the boundary conditions take the form\n", "$$\n", " \\begin{bmatrix} u(0) \\\\ u(1) \\end{bmatrix} =\n", " \\begin{bmatrix}\n", " 0 \\\\\n", " -0.5\n", " \\end{bmatrix} +\n", " \\begin{bmatrix}\n", " 0 & 1 \\\\ 1 & 1\n", " \\end{bmatrix}\n", " \\begin{bmatrix}\n", " b \\\\ c\n", " \\end{bmatrix} =\n", " \\begin{bmatrix}\n", " 0 \\\\ 0\n", " \\end{bmatrix}.\n", "$$\n", "We can solve this by hand: $c = 0$ and $b = 0.5$.\n", "\n", "And let's draw a pretty picture, just to show that we can." ] }, { "cell_type": "code", "collapsed": false, "input": [ "using PyPlot\n", "x = linspace(0,1)\n", "uref(x) = -x.^2/2 + x/2\n", "plot(x, uref(x))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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aNWrEdVqfR8Qr5ORAfDyMGWOmFyQlmcKiebLyV1dfbebXvv02DB5s/v+ECWYUV6P3IgKFLLRgSuioUaOYP38+hw8fplGjRixbtoyWLVvm38bhcJxxW9vRo0fjcDhwOp04HA7eeOON/NvnFdpffvmF33//HYfDwZNPPlngfIfDwZgxY1RoRbzAhg1mU4TNm2HAAHPxz9+u6RTJ53DAQw9B+/bmYsGoKLMpw+uvmwvIRMS3OZxOz1/xL2+S8YYNG3RRmIibO3nSjK5NmmTWHX31VXOFu0hhrF0Ljz0GW7eagjtiBJQubTuViJxLSfY1LeoqIhfNxo3QvLm56Gv0aFizRmVWLkyLFrBunSmyEyfC9ddr7VoRX6ZCKyIl7uRJM0/2+uvBz88UkdGjzdXsIheqdGkYN86M1p46Zf5YmjABsrNtJxORi02FVkRK1ObNZjTt+efNaNratWbbU5Hi0rSp+SMpOtoU3MhI+N+1xyLiI1RoRaREOJ0waxZERJjRs7VrTdnQPEcpCYGBZurB119DZqYZrZ0zx/wcioj3U6EVkWJ38CB07GgWxe/b15RZXa8pF0Pz5ma0tmdP6N/frG986JDtVCJS0lRoRaRYrVgBjRrBf/8LS5bAyy9ry1K5uIKD4ZVXYPFi+OIL8/P4vyXPRcRLqdCKSLHIyYFRo6BNG6hXz+zudN99tlOJL7v/frPywZVXQuvWMHas+TkVEe+jQisiRZaebgrDpEnmKvPly+F/O2GLWHXFFWaUdswY87PZti3s22c7lYgUNxVaESmSL78082N//hlWrjSL3Pv7204l8id/f7NM3IoVsH27+Xldvdp2KhEpTiq0InJBnE6YMcOMzF51ldk04aabbKcSObubbzY/p3XrQqtW8NJLWgVBxFuo0IpIof3xB3TvDlFR5mP5crjsMtupRM4vNBQ++wyefhoGDoQePeD4cdupRKSoAmwHEBHP8sMP0KkT7NwJixaZZZFEPEmpUvDii2bDjz59zAWMixebkVsR8UwaoRURl/3736YE5OaatWVVZsWTdetmfo7zNmL49FPbiUTkQqnQish5OZ0wcybccw/ccgusWQP169tOJVJ0115rNmK48Ua46y6zu52IeB4VWhE5p+xss+PSM8/A4MFms4Ty5W2nEik+FSrAv/5l5tU+9ZT50Hq1Ip5Fc2hF5KwOHYIuXczSXK+/Dr17204kUjICAiAuDq6+2hTa7dvh3XehYkXbyUTEFRqhFZEz2r4dIiNh0yYzt1BlVnzB44/DJ5/A+vVwww2wY4ftRCLiChVaETnNypWmzPr7m4tmbr3VdiKRi6dNG/j6a3Px4/XXw3//azuRiJyPCq2IFLBoEdx+u9lNKSUF6tSxnUjk4gsPN6W2YUO47TazrJeIuC8VWhHJ99JL8I9/mOW4PvpI8wfFt11yCXz8Mdx3n3lOzJ5tO5GInI0uChMRcnNh+HCIjYUhQ2DKFPDTn7siBAZCUhKEhcGTT8KePTBxIjgctpOJyF+p0Ir4uJMnzQVfb71lrvJ+5hnbiUTci5+f2VmsenUYOtSU2ldfNTuOiYh7UKEV8WHHjsEDD5iLwN55x0w3EJHTORzm3YvQUOjVC377zcw3DwmxnUxEQHNoRXzWwYPmau41a8w8QZVZkfN76CEzv/y//zUXix0+bDuRiIAKrYhP2rcPWrWCtDRYsQJat7YcSMSD3Habed78+KN57uzfbzuRiKjQiviYX3+Fm282u4CtWgVNmthOJOJ5mjUzU3V++w1uuQV277adSMS3qdCK+JAffzRlNifHbGdbv77tRCKeq0ED8zzKyDDPq59+sp1IxHep0Ir4iM2bzYtucLB5Ea5d23YiEc9Xt655PpUqZZ5fW7faTiTim1RoRXzA+vVmzmy1amaaweWX204k4j1q1DDPq8qVzTbRGzfaTiTie1RoRbzc2rXQti3UqwdffAFVq9pOJOJ9qlUzF4pdeaV5vm3YYDuRiG9RoRXxYuvWwe23w7XXwn/+Y7byFJGSceml8OmncNVV0K6dRmpFLiYVWhEvtX69eVG95hqzzmz58rYTiXi/ChXgk0/MOyK33QapqbYTifgGFVoRL7Rhgymz9eurzIpcbHmltm5dU2o3bbKdSMT7qdCKeJmNG02ZveoqlVkRWypWNNN8atc2c2q/+cZ2IhHvpkIr4kVSU82IUL16ZoSoQgXbiUR8V16pzbtQTKVWpOSo0Ip4ic2bTZmtW1dlVsRdXHKJuVCsZk1TarVOrUjJUKEV8QI7dphpBjVqmBGhihVtJxKRPHmlNizMPE9//tl2IhHvo0Ir4uF27TIjsxUrmpFZlVkR93PppeaPzeBg83zds8d2IhHvokIr4sH27zcjPgDLl2vTBBF3Vq2aeZ7m5Jjn7YEDthOJeA8VWhEPdeQI3HEHHD1qXiS1na2I+6tZ0zxfDx6EO+80z18RKToVWhEPdPw43H037Nxp5ubVrWs7kYi4KjzcTD/46Se49144ccJ2IhHPp0Ir4mGysuD+++Hbb806sw0a2E4kIoXVqBF89JFZN/qBB+DkSduJRDybCq2IB8nNhUcegVWr4IMPICLCdiIRuVA33ABLl8Lnn0OvXub5LSIXRoVWxEM4nRAVBcnJ8M470KqV7UQiUlRt28Jbb0FSEkRH204j4rlUaEU8xNSpEB8Ps2ZBx46204hIcencGWbOhGnTIC7OdhoRzxRgO4CInN/8+Wb0ZuRIeOIJ22lEpLg9/bRZm3bwYAgNhW7dbCcS8SwqtCJu7j//gd69zcf48bbTiEhJmTQJ9u418+SrVoU2bWwnEvEcmnIg4sbyroC+/XaYMwccDtuJRKSkOBzw+uumyHbsCN98YzuRiOdQoRVxUz//DHfdBddcA+++C6VK2U4kIiWtVClz4Wd4uHn+p6XZTiTiGVRoRdzQ4cPmxax8eVi2DMqWtZ1IRC6WkBD48EMICoL27c2ugCJybiq0Im7m5EkzzeDAAbPwepUqthOJyMV22WXm+b9vH3TtCtnZthOJuDcVWhE34nRC//7w3//CkiVQr57tRCJiy1VXweLF8MUXZhUEp9N2IhH3pUIr4kZiY+GNN8yFITffbDuNiNjWqhXMnQv//KfWqBU5Fy3bJeImkpMhJgZGjYIePWynERF30asX/PgjDBkCtWtrYxWRMynUCG1WVhbR0dGEhYURHBxMZGQky5cvP+95+/btIyYmhtatW1OuXDn8/PxYuXLlWW//1Vdf0bJlS8qWLUtoaCiDBg3i+PHjhYkq4lHWrjUltnt3GDfOdhoRcTcTJ5q59Q89BBs22E4j4n4KVWh79uxJXFwcPXr0ID4+Hn9/f9q3b8/q1avPed62bduIjY0lPT2dhg0bAuA4y4KamzZtom3btmRmZhIXF0ffvn2ZO3cuXbp0KUxUEY/x66/QoQM0aWKmG2itWRH5Oz8/SEyEBg3g3nth927biUTci8tTDtauXcvChQuZNm0agwcPBqBHjx40aNCAYcOGnbPUNm/enEOHDlGxYkWSk5NJSUk5621HjBhBpUqVWLFiBSEhIQDUqlWLxx57jE8//ZR27dq5GlnE7f3xh3lxCg6GpUuhTBnbiUTEXQUFwb/+Bddfb35v/Pe/WtJPJI/LI7TJyckEBATQr1+//GOBgYH06dOHlJQU9uzZc9ZzQ0JCqFix4nnv4/fff2f58uU8/PDD+WUW4JFHHiEkJIR3333X1bgibi8312xxmZZm1prV8lwicj6XXQYffGDm1PbqpZUPRPK4XGhTU1MJDw8vUDQBIiIiADNVoKg2b95MTk4OzZs3L3C8VKlSNG7cmNTU1CLfh4i7mDDBLM311ltmNzAREVdcd52ZfrBoEUyaZDuNiHtwudCmp6cTGhp62vG8Y3v37i1ymPT09AJf86+qVatWLPch4g7efx/GjjWl9t57bacREU/TqROMGQMjR5oRWxFf53KhzcjIIDAw8LTjZf436S8jI6PIYfK+xtnupzjuQ8S2zZvNigZdusCIEbbTiIinGj3aLOH10EOwdavtNCJ2uVxog4KCyMrKOu14ZmZm/ueLKu9rnO1+goODi3wfIjYdPAj33Qd160JCglY0EJEL5+cH8+ZBzZrm98rhw7YTidjj8ioHoaGhZ3zLP2+aQFhYWJHD5E01yPuaf7+f891HVFQUFSpUKHCse/fudO/evcjZRIoqO9vsyX7sGHz+ua5OFpGiK1fOrJASEQHdusGHH0KAtkwSN5CUlERSUlKBY0ePHi2x+3P5x75JkyasWLGCY8eOUa5cufzja9asAaBx48ZFDtOgQQMCAgJYt24dnTt3zj9+8uRJNm3aRLdu3c55flxcHE2bNi1yDpGSMGQIrFoFy5dDrVq204iIt6hdG959F+64A6KjYfp024lEzjyguHHjRpo1a1Yi9+fylIPOnTtz6tQp5s6dm38sKyuLhIQEIiMjqV69OmB2Bdu2bRs5OTmFDlOhQgVuu+02FixYwB9//JF/fP78+Rw/flybK4jHmj8f4uNhxgy49VbbaUTE27RtCy++aD7+Nigm4hNcHqFt0aIFXbp0Yfjw4ezfv586deowb948du7cSUJCQv7tYmJiSExMJC0tjRo1auQfnzhxIgBbtmwBIDExkVWrVgEwcuTI/Ns9//zz3Hjjjdx666089thj7N69mxdffJE77riD22+/vWjfrYgF334Ljz8Ojz4KAwbYTiMi3urpp8022n37QsOGcO21thOJXDwOp9P1ZZmzsrIYNWoUCxYs4PDhwzRq1IgJEyYU2L2rV69eJCYm8ssvvxQotH5+fjgcDpxOZ/6/YLbAPXXqVIH7Wb16NdHR0WzcuJHy5cvTtWtXJk2aRNmzTDrMG8LesGGDphyIWzlyBJo3N/PcvvrK7PQjIlJSjh+HG26ArCxYtw7Kl7edSORPJdnXClVo3ZUKrbij3Fy4/34zb3bDBjPPTUSkpP34o/lD+rbbIDlZq6mI+yjJvubyHFoRKZwpU8y+6/Pnq8yKyMVTr57ZSWzxYpg2zXYakYtDhVakBCxfbnbwGTkS7rnHdhoR8TX33QcxMebjiy9spxEpeSq0IsVs1y7o3t283Td2rO00IuKrJkyA1q3N+rR79thOI1KyVGhFilFWFnTuDMHB8Pbb4O9vO5GI+KqAALOEV+nSZqvtkydtJxIpOSq0IsVo6FDYtMlciFGpku00IuLrqlQxv4/WrzebLoh4KxVakWLy3nvw0ktmYfOICNtpRESM66+HqVPNxi7/+pftNCIlQ4VWpBj8/DP06WOmG2jzBBFxNwMHQseO0LMn/Pqr7TQixU+FVqSITp40F11ceim89prWfBQR9+NwwBtvmI0WunWD7GzbiUSKlwqtSBFFR5t5s+++CxUq2E4jInJml1wCCxea+bTPPWc7jUjxUqEVKYKlS828tKlTzc48IiLu7PrrYfJk8zvrww9tpxEpPiq0Ihfo11/NfLSOHc38NBERTzB4sNnw5dFHYfdu22lEiocKrcgFyM4289AqVDDz0jRvVkQ8hcMBb74JQUFmE5icHNuJRIpOhVbkAjz3nJmH9s47Zl6aiIgnqVTJ/P5KSYExY2ynESk6FVqRQlq+3Mw/e/55iIy0nUZE5MLcdJPZHnfSJFixwnYakaJRoRUphAMH4JFHoG1bGDLEdhoRkaIZNgxuuQV69IBDh2ynEblwKrQiLnI6oW9fs+7svHngp2ePiHg4f3+YPx+OH4fHHze/50Q8kV6SRVz0z3+aZbpefx2qV7edRkSkeFxxBcydC8nJ5iJXEU+kQivigq1bzVI3jz8O991nO42ISPHq3Nls3z1wIPzwg+00IoWnQityHllZ8OCDULMmvPii7TQiIiVjxgzz7tNDD5mpVSKeRIVW5DyGD4fvv4ekJAgOtp1GRKRkhITA22/DN9/AqFG204gUjgqtyDl88gnExZmtIhs3tp1GRKRkNW9uliScOhU++8x2GhHXqdCKnMWBA2Zr29tvh0GDbKcREbk4hgyB1q3NEoWHD9tOI+IaFVqRM3DW27BiAAAgAElEQVQ6oX9/M48sIUFLdImI7/DzM0sTHj8OTz5pO42Ia/QyLXIGb79tlrB55RUIC7OdRkTk4rr8cpg1y1w7sHCh7TQi56dCK/I3u3ebUYkHH4SuXW2nERGx48EHoUsXGDAA9u61nUbk3FRoRf4iNxd69YKyZeHll22nERGxx+GA2bOhdGmzS6J2ERN3pkIr8hezZ8Py5Wbe7CWX2E4jImJX5crw2mvw73+b3cRE3JUKrcj//PADDBtm3l67/XbbaURE3MPdd0O/fma3xB07bKcROTMVWhEgJ8csUXP55RAbazuNiIh7mT4dqlWDRx+FU6dspxE5nQqtCGbjhPXrITHRzJ8VEZE/hYSYpbxSUmDaNNtpRE6nQis+LzUVxo0zW9xGRtpOIyLinlq2NNOyRo2CzZttpxEpSIVWfNrJk2ZVg/r1YfRo22lERNzbuHEQHm52UczOtp1G5E8qtOLTJk2C776DN980S9OIiMjZBQaaVWA2bYKpU22nEfmTCq34rG++gYkTzVSDpk1tpxER8QwREWbqwbhxsGWL7TQihgqt+KTsbDPV4OqrYeRI22lERDzLmDFQp475PZqTYzuNiAqt+KgpU+Dbb81bZ4GBttOIiHiWMmXgjTdgwwazpJeIbSq04nM2b4bx481bZs2b204jIuKZIiPh2WfNBbXff287jfg6FVrxKTk55i2yevXMW2YiInLhxo2DK680v1e14YLYpEIrPmXqVLPurKYaiIgUXVCQmXqwdi3ExdlOI75MhVZ8xtatMHYsDB0KLVrYTiMi4h1uvBGioswFtj/8YDuN+CoVWvEJp05Bnz7mrbGxY22nERHxLhMmwBVXwGOPQW6u7TTii1RoxSe88gp8/TW89pq5OldERIpPcDDMnQtffgmvvmo7jfgiFVrxert2mc0TnnjC7EUuIiLFr3Vr807YsGGwZ4/tNOJrVGjFqzmdMGAAlC8PkyfbTiMi4t2mTjUXij39tO0k4mtUaMWrvfsuLFsGs2ZBhQq204iIeLdLLoGXX4b334fFi22nEV+iQite69AhGDgQHngAOna0nUZExDc88AB06ABPPglHjthOI75ChVa81pAhkJUFL71kO4mIiO9wOMy7YsePQ3S07TTiK1RoxSt99pnZPGHqVAgNtZ1GRMS3XH45TJliVj5YudJ2GvEFKrTidU6cgMcfh1tvNVfciojIxff443DTTWZt2sxM22nE26nQitcZPx527zYjA376CRcRscLPz6xJ++uvZuMFkZKkl3vxKps3w/TpZgvG8HDbaUREfFv9+jBihJn+tXWr7TTizVRoxWvk5kL//lC3LgwdajuNiIiAuTCsVi3z+9nptJ1GvJUKrXiNhARYvdpscxsYaDuNiIiA2W589mxYtQoSE22nEW+lQite4f/+z2y3+Mgj0KqV7TQiIvJXt90GDz5ollM8eNB2GvFGKrTiFYYNM29lTZ1qO4mIiJzJ9OmQnQ0xMbaTiDcqVKHNysoiOjqasLAwgoODiYyMZPny5S6de+TIEfr160eVKlUICQmhTZs2pKamnna7zMxMJk+ezLXXXktISAjVqlWjffv2pKSkFCaq+JCVK+HNN82ah1Wr2k4jIiJnUq0aTJoEr71mpoeJFKdCFdqePXsSFxdHjx49iI+Px9/fn/bt27P6PD+Zubm53H333SQlJTFw4EBiY2PZv38/rVq1YseOHQVu27t3b0aMGEHz5s2ZMWMGzz77LNu3b+fWW29l3bp1hf8OxaudPGkuNLjhBq05KyLi7vr1gxYt4IknzGitSLFxumjNmjVOh8PhnD59ev6xzMxMZ926dZ033njjOc9duHCh0+FwON977738Y//3f//nvOSSS5wPPvhg/rGMjAynn5+fs2vXrgXO/+WXX5wOh8P5zDPPnPHrb9iwwQk4N2zY4Oq3I17i+eedTn9/p/Obb2wnERERV2zc6HT6+TmdU6bYTiIXW0n2NZdHaJOTkwkICKBfv375xwIDA+nTpw8pKSns2bPnnOdWq1aNTp065R+rXLkyXbt2ZenSpWT/78+0gIAASpcuTdW/vW9cpUoV/Pz8CAoKcjWu+ICffzaLdUdFQcOGttOIiIgrmjSBgQNh7FhIS7OdRryFy4U2NTWV8PBwQkJCChyPiIgAYNOmTec8t2nTpqcdj4iI4MSJE2zfvh0whXbo0KG8+eabvP322+zcuZNvv/2Wnj17cumllxYo0+LbnE546imoUgXGjLGdRkRECmP8eLj0UlNsRYpDgKs3TE9PJzQ09LTjecf27t17znNbnWEtpb+ee+211wIwfvx4SpcuTY8ePXD+bwXm2rVrs3r1amrVquVqXPFyS5fCv/8N778Pf/sbS0RE3Fy5cjBzJnTuDMuWwT332E4kns7lEdqMjAwCz7BafZkyZfI/fzaZmZkunxsXF8fYsWN54okneP/995k9ezY5OTncd999HNTidQKcOAHPPAN33QX33Wc7jYiIXIhOnaBdOxg0CDIzbacRT+fyCG1QUBBZWVmnHc/830/huea3unru3r17iYmJ4cknn2TmzJn5t7vtttu49tprmTp1KpMnTz7r/URFRVGhQoUCx7p370737t3P8Z2Jp5k8GdLT4dNPweGwnUZERC6EwwHx8eYaiKlTYdQo24mkOCUlJZGUlFTg2NGjR0vs/lwutKGhoWecVpCeng5AWFhYkc9du3Yt2dnZdOjQocDt6tatS/369fnqq6/OmTEuLu6Mc3XFe/z0E8TGmt1m6tWznUZERIri6qvNhb0vvAA9eoBmFnqPMw0obty4kWbNmpXI/bk85aBJkyZs376dY8eOFTi+Zs0aABo3bnzWcxs3bszGjRvz58T+9dyyZcsSHh4OkL/awalTp077GidPniQnJ8fVuOKlnnnGbJ4wYoTtJCIiUhxGjTIXiEVF2U4inszlQtu5c2dOnTrF3Llz849lZWWRkJBAZGQk1atXB2Dfvn1s27atQPns3Lkzv/32G4sXL84/duDAARYtWsS9995LqVKlAPJHV/8+RL1x40a2b99OkyZNLuBbFG+xbJn5iIuDsmVtpxERkeIQEmK2xV2yBD7+2HYa8VQuTzlo0aIFXbp0Yfjw4ezfv586deowb948du7cSUJCQv7tYmJiSExMJC0tjRo1agCm0EZGRtKrVy+2bt1KpUqVmD17Nk6nk3HjxuWfW6dOHbp168a8efP4/fffadeuHenp6bz00ksEBwfzzDPPFOO3Lp4kM9NcONCunbmQQEREvMc//gFz55plvDZvhjNcRy5yTi4XWoDExERGjRrF/PnzOXz4MI0aNWLZsmW0bNky/zYOhwPH367U8fPz46OPPmLo0KHEx8eTkZFBixYtSExMpN7fJkLOmzeP8PBwFixYwAcffEBISAg333wzEyZMOO224jtiY2HXLvjwQ10IJiLibRwOeOklaNwYXnwRhg+3nUg8jcP594mtHihvkvGGDRt0UZgXSkuD+vXNX+5TpthOIyIiJeXZZ2HOHPj+e/jfm7ziRUqyr7k8h1bElqgoqFRJS7qIiHi7MWOgfHmzko1IYajQilv7z3/MhQLTp2tHMBERb1e+vFmTdtEi+Pxz22nEk6jQitvKzjbLdN1yC3TtajuNiIhcDA89BDfeaH7/a7VOcZUKrbitV16BbdvMft+6EExExDc4HOb3/ubN8OqrttOIp1ChFbd04ICZS/XYY+aqVxER8R3Nm0OvXubaiUOHbKcRT6BCK25p9GhwOmHiRNtJRETEhhdegKws+Mty9SJnpUIrbmfzZvjnP80IbZUqttOIiIgN1aqZEdpZs2DrVttpxN2p0IpbcTrNjmB168KTT9pOIyIiNg0aBLVqmQvEPH/VfClJKrTiVpYsgS++gLg4KF3adhoREbEpMNAs2/jpp7Bsme004s5UaMVtZGaaXWLuugvat7edRkRE3EGHDnDbbTB4sJlTK3ImKrTiNuLiYNcus4+3iIgImGW84uLgl18gPt52GnFXKrTiFvbuheefh6efhquvtp1GRETcSYMG0L8/TJgAv/1mO424IxVacQvPPQdBQWa5LhERkb8bNw4CAmDkSNtJxB2p0Ip1mzbBvHnml1XFirbTiIiIO7r0UrOc4xtvmOUdRf5KhVascjrNhWBXXQX9+tlOIyIi7qx/f6hdG4YMsZ1E3I0KrVi1bBl8/jlMnWreShIRETmb0qUhNhb+8x/4+GPbacSdqNCKNdnZMHQotGkDd99tO42IiHiCjh3hllvMKG1Oju004i5UaMWauXNh+3azaLbDYTuNiIh4AofDvG5s2QKvv247jbgLFVqx4sgRGDsWevaExo1tpxEREU/SvDk8/LBZGef3322nEXegQitWvPACnDgBEyfaTiIiIp7ohRdMmZ0yxXYScQcqtHLR/fILzJxp5s+GhdlOIyIinuiKK8wqOS++aHaZFN+mQisX3fDhUKmSKbQiIiIXKjoaKlSAESNsJxHbVGjlokpJgYULzVSDsmVtpxEREU9WrhyMHw8LFsD69bbTiE0qtHLROJ1mmZVGjeDRR22nERERb9C7NzRoYKYfOJ2204gtKrRy0SxZAl99ZRbF9ve3nUZERLxBQIC5MGzVKvjwQ9tpxBYVWrkocnLM3NnbboPbb7edRkREvMldd0GrVhATA6dO2U4jNqjQykXxxhvwww9aXkVERIqfw2He/duyBRITbacRG1RopcQdPw5jxsCDD0LTprbTiIiIN4qIgK5dzWYLGRm208jFpkIrJS4uDg4d0iYKIiJSsp5/Hvbtg/h420nkYlOhlRL1f/9n3gYaMACuvNJ2GhER8WZ168ITT8CkSXDwoO00cjGp0EqJmjDBzG167jnbSURExBeMGmUuDHvhBdtJ5GJSoZUS89NPMGeOueq0cmXbaURExBdUrQrDhsHLL0Namu00crGo0EqJee45qFIFBg2ynURERHzJ4MFwySVmtFZ8gwqtlIj1680Wt+PGQXCw7TQiIuJLypaFsWPhrbdg0ybbaeRiUKGVYud0QnQ01K8PPXvaTiMiIr6oTx+oV89MexPvp0IrxW75cvj8c3OVaUCA7TQiIuKLSpUyr0OffAJffGE7jZQ0FVopVk4njBgBN9wAHTrYTiMiIr7s/vvNhgsjRpjXJ/FeKrRSrBYvNvNnX3jBLNclIiJii8NhXo++/ho++MB2GilJKrRSbHJyYORIaNcOWrWynUZERATatoXWrc3KO6dO2U4jJUWFVorNggWwbZsWsxYREfeRN0r73XeQlGQ7jZQUFVopFllZMGYMPPAANG9uO42IiMifIiPhvvtg9Gg4edJ2GikJKrRSLP75T9i922x1KyIi4m4mTjQ7h732mu0kUhJUaKXI/vjD/KJ49FGz9qyIiIi7adAAHn7YDLycOGE7jRQ3FVopspkz4ehRM+VARETEXY0dCwcOwEsv2U4ixU2FVork0CGYOhWeeAJq1rSdRkRE5Oxq14Z+/WDKFDhyxHYaKU4qtFIkU6aY5bqee852EhERkfMbORIyM81gjHgPFVq5YHv3mrdtoqKgalXbaURERM4vNBQGDYIZM2DfPttppLio0MoFe+EFKFMGnn3WdhIRERHXDRsGpUrB5Mm2k0hxUaGVC7JzJ7z6KgwZAhUr2k4jIiLiuksugcGDYc4cs+SkeD4VWrkgEydC+fIwcKDtJCIiIoX3zDNQtqx2t/QWKrRSaD//DAkJEB0NISG204iIiBRe+fIwdKjZaOHXX22nkaJSoZVCmzABKleGAQNsJxEREblwTz1lps1NnGg7iRSVCq0UyvbtkJgIw4dDcLDtNCIiIhcuJARiYsy7jj/9ZDuNFIUKrRTKuHEQFmYWphYREfF0/ftDlSowfrztJFIUhSq0WVlZREdHExYWRnBwMJGRkSxfvtylc48cOUK/fv2oUqUKISEhtGnThtTU1DPe9uTJk7zwwgtcffXVBAUFUa1aNe655x727NlTmLhSzLZsgaQks4lCmTK204iIiBRdUBCMGAELFsC2bbbTyIUqVKHt2bMncXFx9OjRg/j4ePz9/Wnfvj2rV68+53m5ubncfffdJCUlMXDgQGJjY9m/fz+tWrVix44dBW6bnZ3N3XffzQsvvED79u155ZVXGDZsGCEhIfz++++F/w6l2Iwda7a37d3bdhIREZHi89hj5t3HceNsJ5ELFeDqDdeuXcvChQuZNm0agwcPBqBHjx40aNCAYcOGnbPUJicnk5KSQnJyMp06dQKga9euhIeHM2bMGN56663828bFxbFq1SpWr15N8+bNL/T7kmK2aRMkJ8Prr0Pp0rbTiIiIFJ8yZcyWuP37m3chGzSwnUgKy+UR2uTkZAICAuj3l8mTgYGB9OnTh5SUlHNOB0hOTqZatWr5ZRagcuXKdO3alaVLl5KdnQ2YkdyZM2fSqVMnmjdvTk5ODidOnLiQ70uK2ZgxULcuPPKI7SQiIiLFr1cv8y7kmDG2k8iFcLnQpqamEh4eTsjfFh6NiIgAYNOmTec8t2nTpqcdj4iI4MSJE2zfvh2ArVu3kp6eznXXXUe/fv0oW7YsISEhNGrUiBUrVrgaVYrZunXwr3+ZJ3mAy2P6IiIinqN0aRg9GhYvho0bbaeRwnK50KanpxMaGnra8bxje/fuLfK5P/74I/DntINXX32VhIQEMjMzufPOO9m8ebOrcaUYjR0LV18N3bvbTiIiIlJyevSAevU0l9YTuTzelpGRQWBg4GnHy/zvcveMjIyznpuZmenSuX/88Uf+v5s2baJ69eoAtGnThrp16xIbG8v8+fNdjSzFYN06+OgjePtt8Pe3nUZERKTkBASYubSPPgqpqdCkie1E4iqXR2iDgoLIyso67XhmZmb+54t6bt6/N910U36ZBbjiiito2bIlX331latxpZiMG2dGZ7t2tZ1ERESk5D34oLlmRKO0nsXlEdrQ0NAzTitIT08HICwsrMjn5v172WWXnXbbKlWqnHOeLkBUVBQVKlQocKx79+5013vlF2T9evjwQ7M2n0ZnRUTEF+SN0vbsaVb4adzYdiLPlJSURFJSUoFjR48eLbH7c7nQNmnShBUrVnDs2DHKlSuXf3zNmjUAND7HI964cWO+/PJLnE4nDoejwLlly5YlPDwcgOuuu45SpUqdccWEvXv3UqVKlXNmjIuLO+PFZ3Jhxo+H8HDo1s12EhERkYvnoYdgwgTzOrh4se00nulMA4obN26kWbNmJXJ/Lk856Ny5M6dOnWLu3Ln5x7KyskhISCAyMjJ/isC+ffvYtm0bOTk5Bc797bffWPyXn4oDBw6waNEi7r33XkqVKgVAuXLl8jdq+OGHH/Jv+/333/PVV1/Rrl27C/9OpVA2boQPPoBRozQ6KyIiviUgwKxH+/778M03ttOIKxxOp9Pp6o3/8Y9/8P777xMVFUWdOnWYN28e69ev57PPPqNly5aA2U0sMTGRtLQ0atSoAZj1ZVu2bMl3333H0KFDqVSpErNnz2b37t2sW7eOevXq5d/H999/z/XXX0+5cuUYOHAgTqeT+Ph4cnNzSU1NPeNqCXmNf8OGDRqhLSb33Qfffw9bt2qpLhER8T3Z2eYaksaN4b33bKfxDiXZ1wpVVRITExk1ahTz58/n8OHDNGrUiGXLluWXWQCHw1FgWgGAn58fH330EUOHDiU+Pp6MjAxatGhBYmJigTILUL9+fVauXEl0dDQTJ07Ez8+Ptm3bMnXq1DOWWSl+qalm3dl581RmRUTEN5UqZUZp+/SBb7+Fhg1tJ5JzKdQIrbvSCG3xuv9++O47M0KrQisiIr4qOxuuugqaNYNFi2yn8Xwl2ddcnkMrvmHTJliyxFzhqTIrIiK+LG+UNjkZtLeTe1OhlQLGj4c6dcwVniIiIr7ukUegVi2z6oG4LxVayfftt+aKzuee0+isiIgImFHaESPMKO2WLbbTyNmo0Eq+8eOhdm14+GHbSURERNzHo49CjRoapXVnKrQCmL8633sPhg83f42KiIiIUbq0eX189134yzL54kZUaAWASZPgiivMXCEREREpqGdPCA01r5fiflRohR07ICkJoqPNX6EiIiJSUGAgDBsGCxbAL7/YTiN/p0IrTJ4MVatC7962k4iIiLivxx6DSy+FKVNsJ5G/U6H1cTt3mh3BhgyBoCDbaURERNxXcDA8+ywkJMDu3bbTyF+p0Pq42FioUAEef9x2EhEREffXvz+ULQvTptlOIn+lQuvD0tPhtdcgKgpCQmynERERcX/ly8PAgTB3LuzfbzuN5FGh9WEvvghlysBTT9lOIiIi4jkGDgR/f4iLs51E8qjQ+qgDB+CVV+Dpp82UAxEREXHNpZfCk0/Cyy/DoUO20wio0PqsmTPNv4MG2c0hIiLiiQYPhlOn4KWXbCcRUKH1SUeOQHy8mdheubLtNCIiIp6nalXo188MEP3+u+00okLrg2bNgqwss/SIiIiIXJghQ+D4cTOFT+xSofUxx4+bSeyPPQbVqtlOIyIi4rkuvxx69YLp0+HECdtpfJsKrY959VU4etT8VSkiIiJFM2wYHDwIb7xhO4lvU6H1ISdPmr8iH3oIata0nUZERMTz1a4N3bqZjRays22n8V0qtD7krbfMVn3DhtlOIiIi4j2io+HXX+Gdd2wn8V0qtD4iNxemTIGOHeGaa2ynERER8R4NG8Ldd5vX2dxc22l8kwqtj1iyBH74AWJibCcRERHxPjExsGULLFtmO4lvUqH1AU4nTJoErVvD9dfbTiMiIuJ9WrY0H5MmmdddubhUaH3A55/D+vUanRURESlJMTHw9dewapXtJL5HhdYHTJoETZtCu3a2k4iIiHiv9u3huuvM665cXCq0Xm7dOvjsM/NXo8NhO42IiIj3cjjM6+0nn0Bqqu00vkWF1stNngzh4dCpk+0kIiIi3q9rV7M27eTJtpP4FhVaL7ZtG7z/vll31t/fdhoRERHvFxAAQ4dCcjL8+KPtNL5DhdaLxcZCaCg8/LDtJCIiIr6jZ0+oUgWmTrWdxHeo0HqpXbtg/nx49lkIDLSdRkRExHeUKQNRUTBvHuzdazuNb1Ch9VIzZkBICDz2mO0kIiIivueJJ0yxnTnTdhLfoELrhY4cgblz4cknoVw522lERER8T4UKptTOmQO//247jfdTofVCc+ZAdjY8/bTtJCIiIr5r0CDIyDCDTFKyVGi9TFaWeXvj0UfhsstspxEREfFdYWHmwuwZM+DkSdtpvJsKrZdZsAB++81cDCYiIiJ2DRkCe/ZAUpLtJN5NhdaL5OaaJUI6djSbKYiIiIhd11wD99xjXp+dTttpvJcKrRdZtgx++MEs6CwiIiLuYehQ2LIF/v1v20m8lwqtF4mNhZYt4YYbbCcRERGRPDffDNdfb16npWSo0HqJr76C1as1OisiIuJuHA7z+rxyJaxdazuNd1Kh9RJTp8LVV5t5OiIiIuJeOnaEunW1HW5JUaH1Aj/8AEuXmr/+/PSIioiIuB1/f7PiwXvvwY4dttN4H9UfLzB9OlSrBg89ZDuJiIiInM0jj0DlyvDii7aTeB8VWg+3bx/Mm2d2IwkMtJ1GREREziYoCAYOhIQE2L/fdhrvokLr4V56CUqXhscft51EREREzqd/fzM9cNYs20m8iwqtBzt+HF55BR57DCpWtJ1GREREzqdSJejdG2bPhowM22m8hwqtB5s3D44eNdMNRERExDM88wwcPAjz59tO4j1UaD3UqVMQFwedO0PNmrbTiIiIiKvq1IH77zcXh+Xm2k7jHVRoPdSyZWbZj2eftZ1ERERECmvwYLPsprbDLR4qtB5q+nSzzW2LFraTiIiISGHdeKPZDnf6dNtJvIMKrQdatw6+/NL8dSciIiKex+Ewr+NffAGpqbbTeD4VWg/04otm/k2HDraTiIiIyIXq1MlcB6ONFopOhdbD7NwJixaZKyT9/W2nERERkQsVEGBez995B3bvtp3Gs6nQepj4eChfHnr1sp1EREREiqp3bwgOhpdftp3Es6nQepDff4dXXzW7gpUtazuNiIiIFFX58tCvH/zzn/DHH7bTeC4VWg/y+utmV5Gnn7adRERERIrLwIFw7BgkJNhO4rkKVWizsrKIjo4mLCyM4OBgIiMjWb58uUvnHjlyhH79+lGlShVCQkJo06YNqee5rO/IkSNUrVoVPz8/3nvvvcJE9To5OTBzJnTrBmFhttOIiIhIcbniCujaFWbMMBsnSeEVqtD27NmTuLg4evToQXx8PP7+/rRv357Vq1ef87zc3FzuvvtukpKSGDhwILGxsezfv59WrVqxY8eOs543evRoMjIycDgcOByOwkT1Ou+9B7/+qo0UREREvNHgwfDzz7Bkie0knsnlQrt27VoWLlzI5MmTmTJlCn379uXzzz+nZs2aDBs27JznJicnk5KSwrx58xg1ahQDBgxgxYoV+Pv7M2bMmDOe89133zFnzhyio6NxOp2F+668jNNplvRo2xYaNbKdRkRERIpb8+Zwyy1awutCuVxok5OTCQgIoF+/fvnHAgMD6dOnDykpKezZs+ec51arVo1OnTrlH6tcuTJdu3Zl6dKlZGdnn3bOoEGD6NSpEzfffLOrEb3W11/D2rVmaQ8RERHxToMHw1dfmdd8KRyXC21qairh4eGEhIQUOB4REQHApk2bznlu06ZNTzseERHBiRMn2L59e4HjixYtIiUlhdjYWJ8fnQUzp6ZePWjf3nYSERERKSn33AO1a5trZqRwXC606enphIaGnnY879jevXuL5dyMjAyGDBnC4MGDqVGjhqvxvNauXWb+7KBB4Kc1KURERLyWv79Zyejdd+EctUrOwOWKlJGRQWBg4GnHy5Qpk//5s8nMzHT53MmTJ3Pq1ClGjBjhajSvNmsWhITAo4/aTiIiIiIlrXdvCAqC2bNtJ/EsAa7eMCgoiKCN2ZgAACAASURBVKysrNOOZ2Zm5n++qOempaUxbdo0Zs+eTXBwsKvR8kVFRVGhQoUCx7p370737t0L/bXcwfHjMHcu9O1rSq2IiIh4t/LlTamdMweee86UW0+UlJREUlJSgWNHjx4tsftzudCGhoaecVpBeno6AGHnWBzV1XNHjx5N9erVufXWW0lLSwNg3759AOzfv5+0tDRq1qx51iW84uLizjhX11PNnw9Hj8JTT9lOIiIiIhfL00+bre7fessManmiMw0obty4kWbNmpXI/blcaJs0acKKFSs4duwY5cqVyz++Zs0aABo3bnzWcxs3bsyXX36J0+ksUEbXrFlD2bJlCQ8PB2DXrl3s2LGD2rVrn/Y1BgwYAJjNFsqXL+9qbI+Vm2smhd9/P9SqZTuNiIiIXCx16sC995oe0KcP+PhS/C5xeQ5t586dOXXqFHPnzs0/lpWVRUJCApGRkVSvXh0wI6rbtm0jJyenwLm//fYbixcvzj924MABFi1axL333kupUqUAmDhxIkuWLCnwMWHCBACio6NZsmTJBU1F8ESffgrbtmmpLhEREV/0zDPw3Xfw+ee2k3gGl0doW7RoQZcuXRg+fDj79++nTp06zJs3j507d5Lwl82HY2JiSExMJC0tLX+Vgs6dOxMZGUmvXr3YunUrlSpVYvbs2TidTsaNG5d/7k033XTa/eaNxkZERNChQ4cL/kY9zYwZ0LQpnOE/iYiIiHi5Vq2gYUPTB9q2tZ3G/blcaAESExMZNWoU8+fP5/DhwzRq1Ihly5bRsmXL/NucaZtaPz8/PvroI4YOHUp8fDwZGRm0aNGCxMRE6tWrd9779bVtb7//Hj7+GBIT9TaDiIiIL3I4zJKdffrAjz+a9ejl7BxOL9i5IG+S8YYNG7ziorD+/c1ezmlpcIbVzkRERMQHZGbCFVdAt27w0ku20xRdSfY1LdXvZg4dMiOzAwaozIqIiPiyMmXMIFdCAhw5YjuNe1Oh/f/27j0oyutgA/jzriBXRSIioFUUQ3MHLxhEbAwxRI1ExQviDQREjUFjWmNi2mZymc40qTXFYJUQEVDxglEaEjUS62hSw6eI+ZIoJfqJxogRFRSV5Xq+P96yFUFk2ctZdp/fjOPMYd/dZ3tGffrmnPNamLQ0oL4eWLBAdhIiIiKSbdEioLYW2LBBdhLLxkJrQerrgQ8/BGbNAjw9ZachIiIi2by9gago9VzaOw6Qoruw0FqQ3buBn34CliyRnYSIiIgsxdKlwLlzQF6e7CSWi4XWgiQnA6NGAW08o4KIiIhszLBhwIgR1rExzFRYaC3Et98Chw/z7iwRERG1lJSkPmThhx9kJ7FMLLQWYs0aoG9fYNIk2UmIiIjI0kyZAnh58S7tvbDQWoCrV4HNm9WdjHZ6PeqCiIiIbEHXrsDChUBWFlBRITuN5WGhtQAffwwIAcyfLzsJERERWaoFC4C6OvVcWmqOhVayhgZg7Vr1KSC9eslOQ0RERJbKywuYNg1ISVH7A/0XC61kn36qHsWRlCQ7CREREVm6pCTg//4P2LNHdhLLwkIr2Zo16lEcQ4fKTkJERESW7skngaAgbg67GwutRD/8oB7BwbuzRERE1B6KovaGL74A/v1v2WksBwutRGvWqOthpkyRnYSIiIg6i+nTAU9P4MMPZSexHCy0klRUqEdvLFyoHsVBRERE1B4ODkBiIrBxI3Djhuw0loGFVpL0dPXojQULZCchIiKizmbhQkCrBTIyZCexDCy0EjQ0qEduTJumLjkgIiIi0kefPkBkpLrsoLFRdhr5WGgl2LNHPXKDm8GIiIioo5KSgJISYP9+2UnkY6GVICVFPabrySdlJyEiIqLOauRIIDBQ7RW2joXWzM6cAfbuBRYvVo/eICIiIuoIRQFefBHIywNKS2WnkYuF1sz+/nfA3V191C0RERGRIWbOBLp3B9avl51ELhZaM6quBjZsAOLiACcn2WmIiIios3NxAWJjgbQ0oKZGdhp5WGjNaOtWoLISWLRIdhIiIiKyFosWAVeuADt2yE4iDwutmQihLtoeOxbw85OdhoiIiKzFr38NjBlj25vDWGjN5OhRoLBQXbxNREREZEyLFwPffAMcPy47iRwstGaSkgL4+gLjxslOQkRERNZmwgTgV78C1q6VnUQOFlozuHIF2LZNXePSpYvsNERERGRt7OyABQuALVuAigrZacyPhdYMNmxQf4+Lk5uDiIiIrFdCAlBfD2zcKDuJ+bHQmlhDg3r2bFQU4OEhOw0RERFZq969galT1WUHjY2y05gXC62J7d2rPr2Dm8GIiIjI1BYvBk6fBvLzZScxLxZaE0tJAYYOBYYPl52EiIiIrF1ICPDEE7Z3hBcLrQmdOaPeoV28WH3eMhEREZEpKYraO/LygHPnZKcxHxZaE1q3DujRQ10/S0RERGQOM2cCrq7A+vWyk5gPC62JaLVAerr6fGVnZ9lpiIiIyFa4ugIxMcDHHwO1tbLTmAcLrYns3AlcvaqeCUdERERkTgsWAJcvA7t3y05iHiy0JvL3vwNhYerzlYmIiIjM6dFHgVGj1D5iC1hoTeC774Cvv1afDEZEREQkw6JFwMGDQHGx7CSmx0JrAuvXA15ewMSJspMQERGRrYqMVB/qZAubw1hojezmTSAzE4iPB+ztZachIiIiW+XgAMTFqY/Cra6Wnca0WGiNbOtWtdTOny87CREREdm6xESgshLYvl12EtNioTUiIdTF1+PHA/37y05DREREts7PDwgPt/7NYSy0RnTsGHD8ODeDERERkeVYtAgoKACKimQnMR0WWiNatw7o1w8YO1Z2EiIiIiLVhAmAj491bw5joTWSykogO1tdq9Kli+w0RERERCo7O3Vvz+bNQFWV7DSmwUJrJFlZQF2dupuQiIiIyJIkJAC3b6ul1hqx0BpB02awSZMAb2/ZaYiIiIia69sXiIhQ+4oQstMYHwutERw+DJw6BSxcKDsJERERUesWLgT+93+Bb76RncT4WGiNYN06wN8fCAuTnYSIiIiodeHhwIAB1nmEFwutgcrLgZ071c1giiI7DREREVHrNBq1r2zfDly7JjuNcbHQGigzU/09JkZuDiIiIqL7mTcPaGgANm2SncS4WGgNIATw0UdAZCTg4SE7DREREVHbevdWN7GnplrX5jAWWgMcPgz8+9/q7XsiIiKizmD+fOCHH6xrcxgLrQFSU4FBg4DRo2UnISIiImqfMWMAX1+1x1gLFtoOunoVyMnhZjAiIiLqXDQa9S7ttm3qk06tgd6FtqamBitWrICPjw+cnZ0RHByM/Pz8dl1bWVmJxMRE9OrVC66urggLC0NRUVGz11RXVyMlJQXh4eHw8fFB9+7dMWTIEKxbtw6NjY36xjWZrCygsZGbwYiIiKjzmTcPqK21nieH6V1oY2NjsXr1asyZMwfJycno0qULxo8fj6+//rrN6xobG/H8888jOzsbS5YswXvvvYfLly9j9OjROH36tO51Z86cwZIlS6AoCn77299i1apVGDBgAF588UXEWchzZZs2g02aBHh6yk5DREREpB9vb+CFF4D1661kc5jQQ0FBgVAURaxatUo3ptVqxaBBg0RISEib127btk0oiiJ27typGysvLxfu7u5i5syZurErV66IkydPtrg+Li5OKIoiTp8+3eJnhYWFAoAoLCzU5+t02FdfCQEIsX+/WT6OiIiIyOj27FH7zDffmOfzTNnX9LpDm5OTAzs7OyTesa3fwcEB8fHxOHLkCH7++ec2r/Xy8kJkZKRuzMPDA9OnT0dubi7q6uoAAD179sTDDz/c4vpJkyYBAIqLi/WJbBKpqcDAgXwyGBEREXVezz4L9O+v/lfnzk6vQltUVAR/f3+4uro2Gw8KCgIAnDhxos1rhwwZ0mI8KCgIt2/fRklJSZuffenSJQBqCZapokJ9wsb8+eqiaiIiIqLOqEsXID4eyM4GbtyQncYwelWysrIyeHt7txhvGrt48aJJrq2trcUHH3yAgQMH6sqzLJs3A/X1QGys1BhEREREBouLA7RaYMsW2UkMo1ehra6uhoODQ4txR0dH3c/vRavVdvjal156CadOncKHH34IjcTbokKoyw1eeAHw8pIWg4iIiMgo+vQBJkzo/JvD9GqHTk5OqKmpaTGu1Wp1Pzf2te+//z7S0tLw7rvvYuzYsfrENbqCAuC77/hkMCIiIrIeiYnAiRNAYaHsJB1np8+Lvb29W10aUFZWBgDw8fEx6rUbN27Ea6+9hkWLFmHlypX3zbds2TK4ubk1G4uOjkZ0dPR9r22P1FR18fSzzxrl7YiIiIikGzsW6NtX7TnDhhnnPbOzs5Gdnd1s7Pr168Z581boVWgHDx6MgwcPoqqqCt26ddONFxQUAAACAwPveW1gYCAOHz4MIQSUOx6tVVBQABcXF/j7+zd7fW5uLhISEjBlyhSkpKS0K9/q1atb3XhmDNevA1u3Am+8wc1gREREZD26dAESEoD33wdWrQLuqHgd1toNxePHj2Po0KGGv3kr9KpmU6dORUNDA1LvePhvTU0N0tPTERwcjD59+gBQTyQoLi5GfX19s2t/+eUXfPLJJ7qxK1euYMeOHYiIiIC9vb1u/NChQ5gxYwZGjx6NzRbyCIvsbKCmhpvBiIiIyPrExQG3b6uPw+2M9LpDO3z4cEybNg2vv/46Ll++DD8/P2RkZOD8+fNIT0/Xve61115DZmYmSktL0a9fPwBqoQ0ODsa8efNw8uRJ9OzZE2vXroUQAm+99Zbu2nPnzuGFF16ARqPBlClTsO2u/2UDAgLw+OOPG/KdO+Tjj4Hx49XF00RERETW5Fe/Ap57Tu07CQmy0+hPr0ILAJmZmfjDH/6ArKwsVFRUICAgAHl5eQgNDdW9RlGUZssKAECj0eDzzz/H8uXLkZycjOrqagwfPhyZmZl48MEHda87e/Ysbty4AUVRsHjx4mbvoSgK3nzzTbMX2hMngGPHgN27zfqxRERERGaTkABMnQp8/z3w2GOy0+hHEaIzH9KgalqTUVhYaJI1tElJQE4OcP48cMfKCCIiIiKrUVurbg6bNQtYvdr472/KvsbtTfdRXQ1s2gTExLDMEhERkfXq2hWYOxfIylL3DXUmLLT3sWsXUFmpPhqOiIiIyJrFxwNXrwK5ubKT6IeF9j7S0oCnngLuWOZLREREZJUefhgYOVLdHNaZsNC24cwZ4J//5N1ZIiIish3x8cD+/UBpqewk7cdC24YNGwA3N2DKFNlJiIiIiMxj2jTA1RW440RWi8dCew/19epEzpoFODvLTkNERERkHq6uQHS02oMaGmSnaR8W2nvYuxcoK+NyAyIiIrI98fHATz+pSw86Axbae0hLAwYPBkxwrC0RERGRRQsKAh5/vPNsDmOhbUVZGZCX1zkf/UZERERkKEVRe1BuLnD5suw098dC24rMTPUhCjNnyk5CREREJMesWWqxzcqSneT+WGjvIoS63GDqVKBHD9lpiIiIiOTo2ROIjFSXHQghO03bWGjvcugQcPo0lxsQERERJSQAp04BR47ITtI2Ftq7bNgA+PkBv/mN7CREREREcj39NODrq/YjS8ZCe4cbN4AdO4B589Q1I0RERES2TKMBYmOBbduAW7dkp7k3Fto7bN8OaLVATIzsJERERESWITZWLbM5ObKT3BsL7R02bADCw4G+fWUnISIiIrIM/fsDYWGWveyAhfY/iovVBc9xcbKTEBEREVmWuLj/bpy3RCy0/5GeDri7Ay+8IDsJERERkWWZPBlwcwM2bpSdpHUstADq69WHKcyaBTg6yk5DREREZFmcnIDoaCAjA2hokJ2mJRZaAHv3ApcuqacbEBEREVFL8+YBFy4A+fmyk7TEQgt1uUFAADB4sOwkRERERJYpKAh45BG1N1kamy+05eXAP/7Bs2eJiIiI2qIo6uawXbuAa9dkp2nO5gvt5s3qBM2aJTsJERERkWWbPVtdQ5udLTtJczZdaIVQz1SbOBHw8JCdhoiIiMiy9e4NTJhgeWfS2nShPX4c+O47bgYjIiIiaq9589QO9e23spP8l00X2g0bAB8f9elgRERERHR/48cDnp6WtTnMZgutVgts2QLMnQvY2clOQ0RERNQ52NsDc+YAmzYBtbWy06hsttDu3g1UVnK5AREREZG+5s0Drl4FPv1UdhKVzRba9HRg5EjA3192EiIiIqLO5dFHgeHDLWdzmE0W2gsXgP37gdhY2UmIiIiIOqfYWGDfPvVpq7LZZKHdtAlwdASmTZOdhIiIiKhzmjED6NJFPdNfNpsrtEIAGRnA5MmAm5vsNERERESdk7u7epb/xo1qv5LJ5grt//wPUFzM5QZEREREhoqNBb7/HigqkpvD5gptRgbQpw8QFiY7CREREVHnFh4OeHmpd2llsqlCq9Wqzx6eO1dd80FEREREHWdnB8yerZ7tL/NMWpsqtJ9+qp49GxMjOwkRERGRdYiJUc+k/ewzeRlsqtBu3AgEBwO//rXsJERERETW4bHHgKFD1WWdsthMob10ST0rjXdniYiIiIwrJka9Q1teLufzbabQbt6srvOIipKdhIiIiMi6REcDiqKupZXBJgqtEOpyg4kT1TPTiIiIiMh4PDyACRPknXZgE4W2qEg9I41nzxIRERGZRmwscOIE8O235v9smyi0GzeqZ6Q9+6zsJERERETWadw4oFcvOZvDrL7Q1taq6znmzFHX0BIRERGR8dnbA7NmqfuW6urM+9lWX2g/+0w9G42nGxARERGZVkwMcPkysHeveT/X6gttRgYwbBjw6KOykxARERFZt8BAICDA/MsOrLrQXrmi3qGdO1d2EiIiIiLbEBMD/OMfwLVr5vtMqy60W7eqv0dHy81BREREZCuio4HGRmD7dvN9plUX2sxMYPx49Ww0IiIiIjI9Ly8gPFztYeZitYW2uBg4epTLDYiIiIjMbe5c4MgR4PRp83ye1RbarCygRw/1qRVEREREZD4TJwLduql9zBysstA2NgKbNgFRUYCDg+w0RERERLbFyQmYNk0ttEKY/vOsstAeOgScP68+TIGIiIiIzG/OHODsWeDrr03/WVZZaDMzgYEDgZAQ2UmIiIiIbNNvfgP062eeZQdWV2hv3wZyctT/V6AostMQERER2SaNBpg9G9i2DdBqTfxZpn1788vNBaqquNyAiIiISLY5c4Dr14G8PNN+jl6FtqamBitWrICPjw+cnZ0RHByM/Pz8dl1bWVmJxMRE9OrVC66urggLC0NRUVGrr/3Xv/6F0NBQuLi4wNvbG0uXLsWtW7fa9TlZWepSAz+/dn8tIiIiIjKBhx4CgoJMfyatXoU2NjYWq1evxpw5c5CcnIwuXbpg/Pjx+Po+q30bGxvx/PPPIzs7G0uWLMF7772Hy5cvY/To0Th91wFlJ06cwDPPPAOtVovVq1cjISEBqampmDZt2n3zXbkC7NvHs2dtQXZ2tuwIZEacb9vC+bYtnG/rN3cusGcPUFFhwg8R7VRQUCAURRGrVq3SjWm1WjFo0CAREhLS5rXbtm0TiqKInTt36sbKy8uFu7u7mDlzZrPXjhs3TvTp00dUVVXpxtLS0oSiKOKLL75o9f0LCwsFAPHKK4Wia1chrl1r77eizioiIkJ2BDIjzrdt4XzbFs639SsvF8LOTojly9W+VlhYaPTPaPcd2pycHNjZ2SExMVE35uDggPj4eBw5cgQ///xzm9d6eXkhMjJSN+bh4YHp06cjNzcXdXV1AIAbN24gPz8fs2fPhqurq+61c+fOhaurK7bf56HAeXlARATg7t7eb0VEREREpuThAYwfD3z2mek+o92FtqioCP7+/s2KJgAEBQUBUJcKtHXtkCFDWowHBQXh9u3bKCkpAQB89913qK+vx7Bhw5q9zt7eHoGBgfdcc9ukpISbwYiIiIgszZw5wMmTpnv/dhfasrIyeHt7txhvGrt48aLB15aVlTUbv5OXl1ebnwEAbm7AuHFtvoSIiIiIzGzCBOCue6JGZdfeF1ZXV8OhlefIOjo66n5+L1qttl3XNv1+r9fe6zOaxocPP4Xvv2/rW5C1uH79Oo4fPy47BpkJ59u2cL5tC+fbdgQFncI//9l2Z+yodhdaJycn1NTUtBjX/uekXCcnJ4Ovbfr9Xq91dnZu9f1LS0sBAPv3z8b+/W18CbIqQ4cOlR2BzIjzbVs437aF821bSktLMXLkSKO+Z7sLrbe3d6v/yb9pmYCPj4/B1zYtNWgav/u19/qM5557Dps2bYKvr2+bxZqIiIiI5KiurkZpaSmee+45o793uwvt4MGDcfDgQVRVVaFbt2668YKCAgBAYGDgPa8NDAzE4cOHIYSAcsfzaAsKCuDi4gJ/f38AwGOPPQY7OzscPXoUU6dO1b2utrYWJ06cwIwZM1p9fw8PD8yaNau9X4WIiIiIJDD2ndkm7d4UNnXqVDQ0NCA1NVU3VlNTg/T0dAQHB6NPnz4AgEuXLqG4uBj19fXNrv3ll1/wySef6MauXLmCHTt2ICIiAvb29gAANzc3jBkzBps2bcLNmzd1r83KysKtW7fa9XAFIiIiIrItihBCtPfFUVFR2LVrF5YtWwY/Pz9kZGTg2LFj+PLLLxEaGgpAfZpYZmYmSktL0a9fPwDqk8JCQ0Px/fffY/ny5ejZsyfWrl2LCxcu4OjRo3jwwQd1n1FUVISQkBA88sgjmD9/Pi5cuIC//vWveOqpp7Bnzx4jf30iIiIi6uz0evRtZmYmXn75ZWRlZWHp0qVoaGhAXl6erswCgKIozZYVAIBGo8Hnn3+OqKgoJCcn49VXX4WnpycOHDjQrMwC6tKG/Px8ODk54ZVXXkFaWhoSEhKQk5NjwNckIiIiImul1x1aIiIiIiJLo9cdWiIiIiIiS2PRhbampgYrVqyAj48PnJ2dERwcjPz8/HZdW1lZicTERPTq1Quurq4ICwu776NzSb6OzvmXX36JuLg4+Pv7w8XFBX5+fpg/fz4uXbpkhtTUEYb8+b7T/PnzodFoEBERYYKUZCyGznd+fj7CwsLQo0cPdO/eHcOGDcP27dtNmJgMYch85+fn45lnnoGnpye6deuGgIAArFmzBo2NjSZOTR1169YtvPnmmxg7diweeOABaDQaZGRktPt6o3Q2YcFmzJgh7O3txauvvio++ugjERISIuzt7cVXX33V5nUNDQ0iJCREuLq6irffflukpKSIRx99VHTv3l38+OOPZkpPHdHROR86dKjw8/MTr732mvj444/FypUrRffu3YWXl5e4dOmSmdKTPjo613c6evSosLe3F05OTiIiIsKEaclQhsz3hg0bhEajEWPHjhVr164V69evF8uWLROrVq0yQ3LqiI7O9549e4SiKOLxxx8XH3zwgUhNTRWTJk0SiqKIpUuXmik96evs2bNCURTh6+srnn76aaEoisjIyGjXtcbqbBZbaAsKCoSiKM3+wtJqtWLQoEEiJCSkzWu3bdsmFEURO3fu1I2Vl5cLd3d3MXPmTJNlJsMYMueHDx9uMXbo0CGhKIr4/e9/b/SsZBhD5rpJY2OjGDFihEhISBC+vr4stBbMkPk+e/ascHJyEi+//LKpY5KRGDLfM2fOFI6OjqKioqLZ+FNPPSXc3NxMkpcMV1NTI3755RchhBDHjh3Tq9Aaq7NZ7JKDnJwc2NnZITExUTfm4OCA+Ph4HDlyBD///HOb13p5eSEyMlI35uHhgenTpyM3Nxd1dXUmzU4dY8ic33nSRpNRo0bhgQceQHFxsUnyUscZMtdNsrKycPLkSbz77rsQ3Ntq0QyZ73Xr1kEIgbfffhsAcPPmTc63hTNkvp2cnODg4AA3N7dm415eXnB2djZZZjJM165d4enpCQB6//k0Vmez2EJbVFQEf39/uLq6NhsPCgoCAJw4caLNa4cMGdJiPCgoCLdv30ZJSYlxw5JRGDLnrbl58yaqqqrg4eFhtIxkHIbOdVVVFVasWIGVK1eid+/eJstJxmHIfOfn5+Ohhx5CXl4e+vbti+7du8PDwwN//OMfWWwtlCHznZSUhMbGRixYsADFxcU4d+4c1q1bh127duH11183aW6Sw1idzWILbVlZGby9vVuMN41dvHjRJNeSPMaetw8++AB1dXWIiooySj4yHkPn+u2334aLiwuWLVtmknxkXIbM948//ojz588jLi4OCQkJ2LlzJ8aNG4d3330Xb7zxhskyU8cZMt8BAQE4cOAAPv30UzzyyCMYMGAAkpKSsGbNGiQlJZksM8ljrH/77Yyayoiqq6vh4ODQYtzR0VH383vRarUdvpbkMWTO73bo0CG89dZbiIqKwujRo40VkYzEkLkuKSlBcnIytm7dqntsNlk2Q+a7aYnBn//8ZyxfvhwAMHnyZFy7dg1/+9vfsHLlyhZ3AkkuQ+a7uLgYzz//PPr374/3338fjo6O2LJlC1566SX07t0bEydONFluksNYnc1i79A6OTmhpqamxbhWq9X93BTXkjzGmrfi4mJMnjwZTzzxBNLS0oyakYzDkLleunQpRo4cicmTJ5ssHxmXoX+fK4qC6OjoZuMzZsxAdXW13kuRyPQMme/f/e53sLOzw8GDBzF79mxMnToVn3zyCUJDQ7F48WI0NDSYLDfJYax/+y220Hp7e7d6m7msrAwA4OPjY5JrSR5jzNtPP/2E8PBwuLu74/PPP4eLi4vRc5LhOjrXBw4cwL59+7BkyRKUlpbqftXX1+P27ds4d+4cqqqqTJqd9GfIn+2mn929VrppA0pFRYWxYpKRGDLfX331FcLCwlpsAIuIiMDFixdx7tw544Yl6YzV2Sy20A4ePBglJSUt/nEqKCgAAAQGBt7z2sDAQBw/frzFhoGCggK4uLjA39/f+IHJYIbMOQBcvXoV4eHhqKurw759+7hZyIJ1dK7Pnz8Pzbv+xgAAAwFJREFUAIiMjMTAgQN1vy5evIgDBw5gwIABSE9PN2140pshf7aHDRsGIQQuXLjQbLzpH8BevXoZOS0ZypD5rq+vb/UubNNO9/r6eiMmJUtgtM7W7gO+zKzpHLu//OUvurGmc+xGjBihGysrKxOnTp0SdXV1urGmM81ycnJ0Y+Xl5aJHjx4iOjraPF+A9GbInN+8eVMMHz5cuLm5iePHj5s1N+mvo3N9/vx5kZub2+zX7t27haenpxg+fLjIzc0VZ86cMfv3obYZ8md79+7dQlEU8cYbb+jGGhoaRGhoqPDw8BC1tbXm+RLUbobMd2hoqOjZs6e4evWqbqy+vl4MHTpUuLm5ifr6evN8Ceqwo0eP3vMcWlN2NosttEIIMX36dN2TRtavXy9CQkJE165dmx2iHxMTIxRFEefOndONNTQ0iBEjRohu3bo1e+qEm5ubKCkpkfFVqJ06OucTJ04UiqKI+Ph4kZWV1ezX7t27ZXwVuo+OznVr+vfvzwcrWDhD5nvMmDFCo9GIBQsWiJSUFPHss88KRVHERx99ZO6vQe3U0fnes2eP0Gg0YtCgQeK9994TycnJYsSIEUJRFPGnP/1JxlehdlqzZo145513xKJFi4SiKGLKlCninXfeEe+88464fv26EMK0nc2iC61WqxXLly8X3t7ewtHRUTz55JPiiy++aPaa2NhYodFoWvwFWFFRIRISEoSHh4dwcXERTz/9tCgsLDRnfOqAjs65r6+v0Gg0QlGUFr8GDBhg7q9B7WDIn++78Ulhls+Q+b5586Z4+eWXhbe3t3BwcBABAQFiy5Yt5oxPejJkvvfu3StGjRolXFxcdPOdmppqzvjUAb6+vrp/dzUaje7f5Dvn2JSdTRGCJ1MTERERUedlsZvCiIiIiIjag4WWiIiIiDo1FloiIiIi6tRYaImIiIioU2OhJSIiIqJOjYWWiIiIiDo1FloiIiIi6tRYaImIiIioU2OhJSIiIqJOjYWWiIiIiDo1FloiIiIi6tRYaImIiIioU/t/2U6p02TgcwUAAAAASUVORK5CYII=", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 166, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 166 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Shooting: IVPs to BVPs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's pretend that we never learned how to solve this differential equation in closed form.\n", "An alternative is to use an ODE solver. Most of the time, we need to put the equation in\n", "first-order form, so let's start there:\n", "$$\n", " \\frac{d}{dx} \\begin{bmatrix} u \\\\ v \\end{bmatrix} =\n", " \\begin{bmatrix} v \\\\ -f \\end{bmatrix}, \\quad u(0) = u(1) = 0\n", "$$\n", "The problem is that the ODE solver requires $u(0)$ and $v(0)$ rather than $u(0)$ and $u(1)$.\n", "Let's initially pretend that we know $v(0)$ and work from there." ] }, { "cell_type": "code", "collapsed": false, "input": [ "using Sundials\n", "\n", "v0 = 0.0\n", "function ode_rhs(t, uv, uvdot) \n", " uvdot[1] = uv[2]\n", " uvdot[2] = -1.0\n", "end\n", "res = Sundials.cvode(ode_rhs, [0.0; v0], x)\n", "plot(x, uref(x))\n", "plot(x, res[:,1], \"--\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 167, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 167 }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, this is clearly not right. But the only thing not right about is it $v(0)$!\n", "So let's set up an iteration to find the right $v(0)$, using `cvode` to\n", "evaluate the mapping $v(0) \\mapsto u(1)$. I'm going to do a simple\n", "bisection solve, and augment the mapping function so that we can watch\n", "the convergence of the iteration." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(x, uref(x))\n", "function ufinal(v0)\n", " res = Sundials.cvode(ode_rhs, [0.0; v0], x)\n", " plot(x, res[:,1], \"--\")\n", " return res[end,1]\n", "end\n", "\n", "function bisection_solver(f, xlo, xhi, tol=1e-3)\n", " flo = f(xlo)\n", " fhi = f(xhi)\n", " print(\"Initial bracket: [$xlo, $xhi]\\n\")\n", " while abs(xlo-xhi) > tol\n", " xmid = (xlo+xhi)/2\n", " fmid = f(xmid)\n", " if flo*fmid > 0.0\n", " xlo, flo = xmid, fmid\n", " elseif flo*fmid < 0.0\n", " xhi, fhi = xmid, fmid\n", " end\n", " print(\" refine: [$xlo, $xhi]\\n\")\n", " end\n", " (xlo, xhi)\n", "end\n", "\n", "bisection_solver(ufinal, 0.0, 2.0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Initial bracket: [0.0, 2.0]\n", " refine: [0.0, 1.0]\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " refine: [0.5, 1.0]\n", " refine: [0.5, 0.75]\n", " refine: [0.5, 0.625]\n", " refine: [0.5, 0.5625]\n", " refine: [0.5, 0.53125]\n", " refine: [0.5, 0.515625]\n", " refine: [0.5, 0.5078125]\n", " refine: [0.5, 0.50390625]\n", " refine: [0.5, 0.501953125]\n", " refine: [0.5, 0.5009765625]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 168, "text": [ "(0.5,0.5009765625)" ] } ], "prompt_number": 168 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's possible to write down what's called a _variational equation_ to compute derivatives\n", "of the mapping from the conditions at one end to conditions at the other; this is particularly\n", "helpful if the shooting problem leads to a system of equations rather than a scalar equation.\n", "Since the topic of this class is mostly _not_ linear or nonlinear equation solver technology,\n", "I'll just make a plug here for CS 4220 next semester, where we'll talk about such things in\n", "detail." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finite Differences and the Standard Tridiagonal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The shooting approach involves solving a set of equations involving values of the solution at\n", "the boundary. An alternate approach is to form a set of equations involving values of the\n", "solution at the boundary and on the interior.\n", "\n", "Let's set up a mesh of $N+2$ points (including boundary points) with spacing $h = 1/(N+1)$ on $[0,1]$:\n", "$$\n", " 0 = x_0 < x_1 < x_2 < x_3 < \\ldots < x_N < x_{N+1} = 1\n", "$$\n", "When we need to illustrate, we'll use $N = 4$.\n", "\n", "You should remember that you can approximate $u_i'' \\approx u''(x_i)$ from $u_i \\approx u(x_i)$ by\n", "the finite difference formula\n", "$$\n", " u_i'' = h^{-2} \\left( u_{i-1}-2u_i+u_{i+1} \\right).\n", "$$\n", "Putting thing together, we can think about the (approximate) mapping from function values to (negative) second\n", "derivative at all the interior mesh points simultaneously:\n", "$$\n", " -\\begin{bmatrix} u_1'' \\\\ u_2'' \\\\ u_3'' \\\\ u_4'' \\end{bmatrix} =\n", " h^{-2} \n", " \\begin{bmatrix} \n", " -1 & 2 & -1 & 0 & 0 & 0 \\\\\n", " 0 & -1 & 2 & -1 & 0 & 0 \\\\\n", " 0 & 0 & -1 & 2 & -1 & 0 \\\\\n", " 0 & 0 & 0 & -1 & 2 & -1\n", " \\end{bmatrix}\n", " \\begin{bmatrix} u_0 \\\\ u_1 \\\\ u_2 \\\\ u_3 \\\\ u_4 \\\\ u_5 \\end{bmatrix}\n", "$$\n", "\n", "To solve the BVP with general boundary values and RHS, then, we would look at something like\n", "$$\n", " h^{-2} \\left(\n", " \\begin{bmatrix}\n", " 2 & -1 & 0 & 0 \\\\\n", " -1 & 2 & -1 & 0 \\\\\n", " 0 & -1 & 2 & -1 \\\\\n", " 0 & 0 & -1 & 2\n", " \\end{bmatrix}\n", " \\begin{bmatrix} u_1 \\\\ u_2 \\\\ u_3 \\\\ u_4 \\end{bmatrix} +\n", " \\begin{bmatrix} -1 \\\\ 0 \\\\ 0 \\\\ 0 \\end{bmatrix} u_0 + \n", " \\begin{bmatrix} 0 \\\\ 0 \\\\ 0 \\\\ -1 \\end{bmatrix} u_5\n", " \\right) =\n", " \\begin{bmatrix}\n", " f_1 \\\\ f_2 \\\\ f_3 \\\\ f_4\n", " \\end{bmatrix}\n", "$$\n", "Let's rearrange a bit:\n", "$$\n", " \\begin{bmatrix}\n", " 2 & -1 & 0 & 0 \\\\\n", " -1 & 2 & -1 & 0 \\\\\n", " 0 & -1 & 2 & -1 \\\\\n", " 0 & 0 & -1 & 2\n", " \\end{bmatrix}\n", " \\begin{bmatrix} u_1 \\\\ u_2 \\\\ u_3 \\\\ u_4 \\end{bmatrix} =\n", " h^2 \\begin{bmatrix}\n", " f_1 \\\\ f_2 \\\\ f_3 \\\\ f_4\n", " \\end{bmatrix} + \\begin{bmatrix} u_0 \\\\ 0 \\\\ 0 \\\\ u_5 \\end{bmatrix}\n", "$$\n", "For the case of homogeneous Dirichlet conditions ($u_1 = u_5 = 0$),\n", "we have $Tu = h^2 f$, where $T$ is the _standard tridiagonal matrix_.\n", "\n", "OK. Now let's try this out in practice. First, let's make sure we can construct the standard tridiagonal.\n", "We won't worry about being dense." ] }, { "cell_type": "code", "collapsed": false, "input": [ "NN = length(x)\n", "N = NN-2\n", "Tdense(N) = 2*eye(N) - diagm(ones(N-1),1) - diagm(ones(N-1),-1)\n", "T = Tdense(N)\n", "T[1:5,1:5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 169, "text": [ "5x5 Array{Float64,2}:\n", " 2.0 -1.0 0.0 0.0 0.0\n", " -1.0 2.0 -1.0 0.0 0.0\n", " 0.0 -1.0 2.0 -1.0 0.0\n", " 0.0 0.0 -1.0 2.0 -1.0\n", " 0.0 0.0 0.0 -1.0 2.0" ] } ], "prompt_number": 169 }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK! Now let's do a solve and plot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = 1.0/(N+1)\n", "ufd = zeros(NN)\n", "f = ones(NN)\n", "ufd[2:N+1] = T\\(h^2*f[2:N+1])\n", "plot(x,uref(x))\n", "plot(x,ufd, \"--\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 170, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 170 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just for kicks, let's do something a little more efficient and construct a sparse\n", "representation of this matrix." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Tsparse(N) = 2*speye(N) - spdiagm(ones(N-1),1,N,N) - spdiagm(ones(N-1),-1,N,N)\n", "T = Tsparse(N)\n", "T[1:5,1:5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 171, "text": [ "5x5 sparse matrix with 13 Float64 entries:\n", "\t[1, 1] = 2.0\n", "\t[2, 1] = -1.0\n", "\t[1, 2] = -1.0\n", "\t[2, 2] = 2.0\n", "\t[3, 2] = -1.0\n", "\t[2, 3] = -1.0\n", "\t[3, 3] = 2.0\n", "\t[4, 3] = -1.0\n", "\t[3, 4] = -1.0\n", "\t[4, 4] = 2.0\n", "\t[5, 4] = -1.0\n", "\t[4, 5] = -1.0\n", "\t[5, 5] = 2.0" ] } ], "prompt_number": 171 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we're going to do the same thing with the sparse version." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ufd[2:N+1] = T\\(h^2*f[2:N+1])\n", "plot(x, uref(x))\n", "plot(x, ufd, \"--\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 172, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 172 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is great -- we have a good match in the \"eyeball norm.\" Let's actually\n", "do a plot of the error." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(x, uref(x)-ufd)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 173, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 173 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the type of error plot that should make you suspicious. It's too good!\n", "This is because the second-order finite difference formula is _exact_ when\n", "applied to a quadratic. Let's take a moment to set up a more challenging (sort of)\n", "problem.\n", "\n", "A nice function that is zero at $0$ and $1$ is\n", "$$\n", " u(x) = \\sin(\\pi x)\n", "$$\n", "and we have\n", "$$\n", " -u'' = f = \\pi^2 \\sin(\\pi x).\n", "$$\n", "So let's set this up as a BVP and look at the error for different size meshes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "uref(x) = sin(pi*x)\n", "fref(x) = pi^2 * sin(pi*x)\n", "\n", "mmax = 8\n", "hs = zeros(mmax)\n", "errnorm = zeros(mmax)\n", "for m = 3:mmax\n", " h = 2.0^-m\n", " N = 2^m-1\n", " x = linspace(0,1,N+2)\n", " ufd = Tsparse(N)\\(h^2*fref(x[2:end-1]))\n", " hs[m] = h\n", " errnorm[m] = norm(uref(x[2:end-1])-ufd, Inf)\n", "end\n", "loglog(hs[3:mmax], errnorm[3:mmax])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 174, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 174 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks pretty linear. Let's look at the step-by-step behavior. We should be cutting the\n", "error by roughly a factor of four each time we cut the mesh step by a factor of two ($O(h^2)$)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "errnorm[4:mmax]./errnorm[3:mmax-1]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 175, "text": [ "5-element Array{Float64,1}:\n", " 0.248554\n", " 0.249639\n", " 0.24991 \n", " 0.249977\n", " 0.249994" ] } ], "prompt_number": 175 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "A parabolic model problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So far, we've looked at a steady-state model problem (an _elliptic_ differential equation).\n", "Let's move on now to one of the simplest time-dependent problems: the heat equation,\n", "a model _parabolic_ differential equation:\n", "$$\n", " \\frac{\\partial u}{\\partial t} = \\kappa \\frac{\\partial^2 u}{\\partial x^2} + f , \\quad u(0,t) = u(1,t) = 0\n", "$$\n", "with $u(x,0)$ given. This equation is common not only in physical models of diffusion,\n", "but also in financial models (e.g. the Black-Scholes equation is a parabolic differential\n", "equation).\n", "\n", "What's the simplest thing that we might think about doing? Perhaps the\n", "simplest approach is to discretize in space in order to get a system of ODEs,\n", "then solve the system using a standard time stepper. This is sometimes\n", "called the _method of lines_. For example, if $u^h(t)$ represents the\n", "vector of (approximate) $u(x_i,t)$ values for some mesh with spacing $h$,\n", "then we have the equations\n", "$$\n", " \\frac{du^h}{dt} = \\kappa h^{-2} T u^h(t) + f^h(t)\n", "$$\n", "where $f^h$ represents the sampled vector of forcing function values.\n", "\n", "Let's see what happens if we try to solve this differential equation\n", "using Euler's method in time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 20\n", "h = 1.0/(N+1)\n", "x = linspace(0,1,N+2)\n", "\n", "T = Tsparse(N)\n", "u = zeros(N)\n", "f = ones(N)\n", "\n", "kappa = 1\n", "dt = 1e-2\n", "usteady(x) = (-x.^2+x)/2\n", "\n", "plot(x[2:end-1], u)\n", "for j = 1:10\n", " u += (-(kappa/h^2)*(T*u) + f) * dt\n", " plot(x[2:end-1], u)\n", "end" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Qww7lh2QZU0MhDuUTEREFxHDtSB3VmsZyURliYOqRkYrrOyo1jUP5REREAdE2Ssa0WtOwK5GAblke7lWwMTD1iDPHZLiMKWDPM+VQPhERUTC0G8aIGVPnmL+Do6FjxsDUI2PJmLItKRERUXC06fqQNUwdLLKfOQamHmnRdZTIMiKh0LC3YVtSIiKi4Gg3jCFrmDpSbUkZmI4ZA1OPtOr6sKWiHMyYEhERBUOvaaLLNEccyq/QNMhgxjQTDEw90hKPjzi/FLCL7LcbBoQQHu0VERERZWOkdqQORZJQySL7GWFg6pGWEWqYOio0DboQ6DRNj/aKiIiIsjFSO9J0LBmVGQamHhmpuL6DbUmJiIiCwTlWj5QxBVhkP1MMTD3SouujDuWzLSkREVEwpDKmowSm1RzKzwgDUw/ELQt7EonRM6bJ67kyn4iIyN/aDQOTFQVFijLi7aqZMc0IA1MPtI6huD4ATFNVSABX5hMREflc2yjtSB3OUD4XNo8NA1MPpIrrj1IuSpEkTGP3JyIiIt9rH6UdqaM6HIYuBPYkEh7sVfAxMPWAsxpvtIwpwFqmREREQZBJxhRgkf2xYmDqgVZdhwKgfAxv4EpmTImIiHyv3TBGXZEPsC1pphiYeqBF11GpaVAkadTbVrAtKRERke+N1o7UkcqYspbpmDAw9cBYius7OJRPRETkf226PqaMabGioFRROJQ/RgxMPTCW4voODuUTERH5W7dpImZZY5pjCrDIfiYYmHpgLMX1Hc5QPstKEBER+ZOTQBrLqnyARfYzwcDUA626PmqpKEelqsIQAh0sK0FERORLTjvSsWZMq8NhZkzHiIGpyywh0JpJxpRtSYmIiHxtrO1IHVXMmI4ZA1OX7TYMJIQY+xxTtiUlIiLyNecYPZZV+QDbkmaCganLWsbYjtSRypjyDUxERORLbbqOUkVBWB5bGFWladibSKDHNF3es+BjYOqyVDvSMQamU1UVMpgxJSIi8quxtiN1ODHADiadRsXA1GWZZkwVScI01jIlIiLyrbG2I3WwLenYMTB1WYuuo0xRMElRxvw7rGVKRETkX2NtR+qoZmA6ZgxMXZZJqShHhaZxVT4REZFPtY2xHaljqqoiJElcADUGDExd1hKPj3kY31GpqqkaaUREROQv7WNsR+qQJYklo8aIganLMmlH6qhQVWZMiYiIfKrNMDKaYwqwZNRYMTB1WSbtSB2Vybak48nv29uxfMeOQu8GERF57H+2b8c/OjoKvRt5EzNN9FhWRqvygWSR/Xjcpb0aPxiYuizbjOlOw4AlhEt75b2fNzfjR42Nhd4NIiLykCkEvr11Kx4bR4mJTNuROpgxHRsGpi7qNk10mmbGGdMKVUVCCOxNJFzaM+81xePY2N2NuGUVeleIiMgjH/T0oNuy0DSOMoXOVLusMqYMTEfFwNRFmRbXd4zHtqRN8TgSQuC9WKzQu0JERB5piEYBYFwFpql2pFlkTHfo+rgaDXUDA1MXOd+MMi4XNc7aknYlEuhMtmGrZ2BKRDRhOJ/54ykwdY7N5RkGplWaBhPAznGUdHIDA1MXOZOcs1n8BIyfjGn6B5Lz7ZmIiMY/5zN/h2FAHydTudoNA1NCIWhyZiGUk6TicP7IGJi6qFXXoUoSpoZCGf3ePqEQFIyfjGlT8nEcVlKCegamREQTRn00isNKSgCMn4CsLcMapg4nScUFUCNjYOoip1SUJEkZ/Z4sSSgfR21JnYzpqVOnoj4Wg+D8GiKicW+vYeCjeBynTZ0KYPwM57dnUcMU6AtMWTJqZAxMXZRNqSjHeGpL2hSPY2oohKNLS7HTMPhtkYhoAlifnF96+rRpAMZPYJppO1JHWJYxNRTiMXAUDExdlE1xfcd4aku6PR5HbTiM+ZEIAHA4n4hoAqiPRqFKEo4uLcUkWcb2cRKYZtqONB1LRo2OgamLcsqYjqO2pE3JwHS/oiJEFIUr84mIJoD6WAyHFBdDlWXUhsPjK2OaZWDKIvujY2DqopwypuOoLWmTrmN6OAxZklBXUsKV+UREE0BDNJoaKZseDqcWwgaZEALthpFxcX0HM6ajY2DqElMItOl6xjVMHRWqOn5W5cfjqE3+Ec+PRDiUT0Q0zplCYH0slgpMazVtXGRMo6aJXsvKPmMaDjNjOgoGpi5p13VYyLzrk6NS07DTMALfIcKwLLTqOmqTAXpdSQlbkxIRjXMf9PSgx7JQlywVVRsOj4s5pu1ZtiN1MGM6OgamLnHeeNkO5VeoKiwAuwM+nN+q6xCwh3EAO2NqAniX80yJiMYtZ2QslTENh9Ecjwe+XKAzkpnLHNOoaSKaSORzt8YVBqYucVL1uSx+AoLf/ckZunEypocmvz1zOJ+IaPyqj0ZRpWmpskrTw2HEhcCugB/TUhnTHFblAyyyPxIGpi5xMqb75jCUD4yDwDT5PDiB6eRQCAcUFaGBGVMionGrIRbD/GQiAug7BgR9AZRzTJ6WQ8YUGD9dsNzAwNQlrbqOaVn00nU4GdOgL4DaHo8jPKAtKxdAERGNb/VpK/IBpBbABn2eaZuuY2ooBDXLY3s1M6ajYmDqklxKRQHAlFAIIUkKfsY0Hsf0cLhfW9a6ZGAa9LlGREQ02B7DQGM8jrq0wLRK0yAj+N2fsm1H6igLhRCWJGZMR8DA1CWtOZSKAgBZklA+DorsO8X1080vKcGuRIJ/mERE45DTijR9KD8ky6gaByWj2nKoYQoAkiSxZNQoGJi6pCUezyljCoyPtqRDBqZsTUpENG7VR6PQJAlziov7XT4euj+163pOGVOAJaNGw8DUJbm0I3WMh7ak24cITGcWFWGyonABFBHRONQQi+GQkpJB8zDHQy3TXDOmANuSjoaBqQuEEGjJQ2Aa9LakQohUO9J0TmtSZkyJiMaf+mi03zC+o1bTxsWq/LxkTAMeoLvJ9cA0Fovh5ptvxuc+9zlMnToVsizj4YcfdnuzBdVlmui2rJyH8oPelnRPIoFey0qtxkxXx5X5RETjjikE3onF+i18ckwP+FC+SLYazzUwreZQ/ohcD0zb29txyy23YNOmTViwYAEA9FuhPR7lWlzfEfSM6cDi+unmRyLY1N2NXtP0ereIiMglW5KtSOcPEZjWhsPYk0igO6Cf+12mCV2InIfyq5LH9gRbcw/J9cC0pqYGra2t2LZtG3784x+7vTlfyLUdqaNCVbHTMGAGtKzS9pEC05ISuzVpd7fHe0VERG5xRsLqhhrKd4rsBzRrmms7Uke1pkEAgV9D4hbXA1NN01BZWQkAE6ZuZSpjmkO5KMBelS8A7A7om7cpHoeEoTPHh5aUQAJX5hMRjSf10Siq01qRpgt6YJprO1KHExtwAdTQuPjJBS3xOIpkGaWKktP9OH/YQf1W1aTr2FfThuyQEQmFcMCkSVyZT0Q0jjTEYkMO4wN93Z+CugDKORYPFXRnwhlN5TzToTEwdYFTKirXubTOcEFQa5k2xeNDLnxyzOfKfCKicWW4FfmAnZAoU5TgZkx1HRKAaWkttrNRqaqQwIzpcBiYuiAfpaKAvuGCoC6AGqqGabq6SAQNbE1KRDQu7DEMfDygFelAQa5l2m4YmBoKITTEKGAmVFlGuaqyZNQwcgv7XbR06VKUlZX1u+yiiy7CRRddVKA9GrtWXc954RNg99RVJSm4Q/nxOI4b8Bqmmx+JYFcigWZdHzGAJSIi/3OmZg03lA8Eu/tTPorrO4JWZH/FihVYsWJFv8s6Ojpc2ZZvA9O77roLCxcuLPRuZKVF13HCCAHZWEmShIoAtyUdqh1pOmfVZn00ysCUiCjgnFakB02aNOxtpofDeDegawvy0Y7UEbS2pEMlBteuXYtFixblfVscyndBS54ypkBw25L2miZ2JRIjBpz7FRWhVFHQwHmmRESB1xCNYt4QrUjT1YbDgV78lM+MaZACUy8xMM0zw7Kw0zByLhXlCGqRfeeDZ6TFT5Ik2R2gAvrtmYiI+tSPsCLfUZtsxxnE+tz5aEfqqArYUL6XPBnKX7ZsGfbu3Yvm5mYAwDPPPIPGxkYAwHXXXYfS0lIvdsMTO/JUXN9RoaqBnCjuzCGaPkqAXldSgpV793qxS0RE5JKEZeGdWAwXJ+uWD6c2HIYJ+1hZE7ApXG26nnMNU0d1OIwWXYcQYtx3w8yUJ4HpT37yE3z00UcA7CzZ7373Ozz99NOQJAlf/OIXx1Vgmq92pI5KTcPbARzqHqkdabr5kQjua25Gr2miKMe6r0REVBhbenrQO0wr0nTT04rsBykwFULYGdM8DuX3WhY6TRNlOZafGm88Gcrftm0bLMuCZVkwTROmaab+P2PGDC92wTP5akfqqFDVVBu0IGmKxzFZUTB5lD+4+ZEILAAb2JqUiCiwnClZQ7UiTRfU7k8diQQMIfKWMU0V2Q/Y8+AFzjHNs9ZkAd58vXkrVRW7EwkkLCsv9+eV0WqYOpzWpFwARUQUXA3RKGo0DeWjJGXKVRWqJAVuipqz1iNfc0ydUVXOMx2MgWmetSTnoORagNdRoWkQAHYlEnm5P6806fqo80sBoERRMHvSJHaAIiIKsPpodNRhfACQJQk1mha4lfn5akfqYFvS4TEwzbN8Fdd3VAa0Lelo7UjT1ZWUcGU+EVGA1cdiow7jO6YHsMi+cwzO12jo5FAIJbLMjOkQGJjmWYuu561UFNA3bBC0WqajFddPN5+tSYmIAmu3YWB7PD6mjCkQzO5PbYYBCcDUPAWmQPCK7HuFgWmetcTj+c2YJu8rSLVMLSEyajM6PxLB7kQicB9URETUt0Ygk8A0iHNMy1UVSh5LOzklo6g/BqZ51qrreSsVBQCTFQWaJAVqZX6briMhxJjmmAJprUk5nE9EFDj1sRjCo7QiTedkTIM0StaWx3akDhbZHxoD0zwSQuS1HSlg132tUNVAZUxTXZ/GGJjOLCpCGVuTEhEFktOKdKyLfqeHw4gla3gGRXse25E6qpNdsKg/BqZ5tDeRgC5EXjOmQPDakqaK64/xeUi1JmVgSkQUOGNdke9wjg1Bmr6Vz3akjmpmTIfEwDSP8l1c3xG0Ivvb43GEJCmjb5d1JSVo4FA+EVGgJCwLG7q7x7wiH+gbTQvSPNN8tiN1VGkadiUS0ANWp9xtDEzzKN/tSB1BzJjWaBrkDCaJz49EsKm7Gz0BGtohIproNo+xFWm6mgB2f8pnO1KHEyvsCFDiyQsMTPOIGVNbJqWiHHVOa1JmTYmIAsOZglWXQWAalmVUqGpgAlMhhD3H1IWMKcAi+wMxMM2jVl1HRFEQGaU/fKYqA7j4KdPANNWalIEpEVFgNMRiqNU0TMswaKsNhwPT/WlvIoGEEPmfY5o8TnKeaX8MTPOoJR7P+zA+YLdA251IwAjIPJTtGXR9cpQoCg5ka1IiokDJdOGTo1bTAjPH1Glwk+9V+eWqChnMmA7EwDSP8l0qyuEMH+wKSNa0KR4fcw3TdFyZT0QULPXRaEbD+I4gdX9y2pHmO2OqSBL2ZcmoQRiY5lG+i+s7gtSWtCuRQJdpZjyUDwDzkyvzg1R0mYhootplGGjSdczPYEW+Y3qAAlO3MqYAi+wPhYFpHrmWMQ1QW9JUDdNsAtNIBHsSicAM7xARTWSZtiJNVxsOo80wAlEqqd0woADYJ8/rR4BkkX0Gpv0wMM0j1zOmAXjzbs8hMHWGg7gAiojI/xqSrUgPHGMr0nTOMaI5AImINl3HNFXNqATiWLHI/mAMTPOk1zSxJ5FwJWMaURQUyXIwMqZOO9IsnocZ4TDKFIXzTImIAqA+GsWhGbQiTZfq/hSAoMyNdqSOKmZMB2Fgmic7kkFjdRaZwtFIkhSYWqZN8TimhUIoUpSMf5etSYmIgiPbhU8AUgtkgzDPtE3X877wyVEdDqNV17m2Ig0D0zxxVtW5MZQP2MP5gciYZlFcP938SIRD+UREPpewLGyIxbKaXwoAZaEQimU5EIGpG8X1HVWaBkMI7E4kXLn/IGJgmidudX1yVGpaIFblb881MC0pwftsTUpE5GtWtmWyAAAgAElEQVTv9/QgLkRWK/IBe4SsNhwOxGLXNhfakTqcZBZLRvVhYJonrboOBXbBXDdUqGqqlpqfZVvD1OG0Jn2HWVMiIt/KphXpQEGpZdqu665mTAF2f0rHwDRPWnQd+2qaK6v2gOC0Jc2mHWm6Q0tKIIMr84mI/KwhFsP0cBhTcwjYpgegLaklBHYahmtzTJ3AlAug+jAwzRO3SkU5KgIwlG9YFnboelYr8h3FbE1KROR79dFo1sP4jlpN833GdE8iARPuFNcH7GNeqaIwY5qGgWmeuFVc31GpqtibSPi6GHGLrkMguxqm6eoikVThZiIi8p+GHFbkO5yhfD+vSHerHWk6Ftnvj4FpnrTquiulohzOH8VOH2dNnW++ucwxBeyV+fVsTUpE5EupVqR5CEz15FC5X7nZjtThlIwiGwPTPGmJx10dyg9CW9Jc2pGmqyspwd5EAh/7fIiHiGgiSi18ynEoPwi1TJ1jrpsZUxbZ74+BaR5YQmCHYbg6lB+EtqRNuo4iWc65n7DzLZzD+URE/tMQjaJIlrNqRZrOSWL4eQFUm64jJEmYkuNxbSRsS9ofA9M82GUYSAgx4TOm2+Nx1GoapBwrE3wiHMaUUAj1XJlPROQ79bFY1q1I0+2rqpABX9cybTcMlKuqaxV3gGTG1MfPgdcYmOaB28X1AaBEUTBJlv2dMc2xhqlDkiTUlZRwZT4RkQ/VR6M5D+MDQEiWUeXzlfltLtYwdVRrGjpMk41lkhiY5oGTgnczYwr4v5Zpru1I083nynwiIt/JtRXpQNN9XmS/3cUapg4W2e+PgWkeeJExBfxfyzTfgenmnh508xskEZFvbOrpgS5E3gJTv3d/crMdqaOaRfb7YWCaB626jimhEIoUxdXtVPq4LakQwp5jmqfAtK6kBBaADZxnSkTkGw15WpHvqA2H/T3H1IOhfGZM+2Ngmgct8bjr2VLAXpnv14zp7kQCcSHyMscUAOYlW5NynikRkX/UR6P4RDiMffIUrNVqmr9X5XswlD9NVaFKEjOmSQxM88DtdqSOCk3z7RzTVA3TPD0PqdakzJgSEflGfSyWt2wpYM8x3ZtI+HLalikEdhmGq8X1AXvBbxVLRqUwMM2DFo8C00pV9e2q/HwV10/HBVBERP7SEI3mbX4pkFbL1IfD+bsNAxbcLa7vYMmoPgxM86BV1z0byu80TcQty/VtZWp7PA4J+V0ANj8SQX00ytakREQ+sFPX0ZyHVqTpnMDUj/NM2z1oR+pgkf0+DEzzwLOMaXIbfuwr3JScZ6vmWHA5XV1JCTpME40+/MAiIpponKlV+RzK93PG1It2pA62Je3DwDRHMdNEl2l6ljEF/NmWtEnX8zqMD7A1KRGRnzREo5gkyziwuDhv91miKJgSCvlyAZRzrHV7VT5gZ0wZmNoYmOYoVVw/z0HZUPzclrQp2Y40n6aHw9gnFOLKfCIiH6iPRnFoSQmUPLfnrPVp96d2w4AqSSgLhVzfVpWmoU3XYXLqGgPTXDmTlSd6xnR7ntqRpnNakzZwZT4RUcE15HlFvsOvtUzbdB0Vqgopz4H4UKrDYZjw51Q9rzEwzZFX7UgBu4RSiSz7N2PqQtbYWQBFRESFY+S5FWk6v7Yl9aIdqYNF9vswMM1Ri65DkyTs40GqH/BnW9Ie08TuRMKVwLQu2Zo05sMad0REE8Wm7m7oQqDOhcDUr21J2zyoYepItSX14fPgNQamOXJKRXmR6gf82Za0Obk/rmRMS0ogwNakRESF1ODCinxHbTiMVl1HwmelENuTQ/le2JcZ0xQGpjnyqlSUw49tSZ25QfmeYwqwNSkRkR/UR6OYkcdWpOlqNQ0mgB0+O7Z5mTENyzKmhkJcmQ8Gpjnzqri+o9KHbUnz3Y403SRFwUHFxQxMiYgKqD4adWUYH+hLavhtON/LOaYAi+w7GJjmqEXXPSkV5ajwYVvSpngcpYqCiEvzbOdzZT4RUUE1xGKY78IwPuDPIvumENjlcWDKIvs2BqY5akl2PPJKhar6MmPqxvxSx/xIBA1sTUpEVBDtuo6WPLciTVeuqtAkyVeB6S7DgIA37Ugd1eEwA1MwMM2JKQTaDcPTOaaVmoYu00Svj1apu1HDNF1dJMLWpEREBZJa+ORSYCpJEmp8VsvUGZn0OmPKoXwGpjlp03VY8Ka4vsP5I/FT1tSNdqTpnOEjzjMlIvJefbIV6exJk1zbxvRw2FdtSZ1jrBftSB3VmsZyUWBgmhMvi+s7nGEFP63Md6MdabpatiYlIioYt1qRpvNbW1LnGFvh4fG9StMQsyxEEwnPtulHDExz4MwFKUjG1CffLE0h0OJyxlSSJHueKRdAERF5rsGljk/p/FZkvz3ZPKdUUTzbZqrIvk+O74XCwDQHTsZ03wk8lN+m60gI4eocU8AezmfGlIjIW4Zl4V0XV+Q7apNzTP2yyNUpFeVV8xygLzCd6PNMGZjmoEXX7dWEsndP4yRFQURRfDOUn6ph6nJgWheJYAtbkxIReWqji61I000Ph9FtWejwyTC2l8X1HVXMmAJgYJoTr4vrO/zUlrTJxXak6eZHIhAA3gnAcP6TbW34ztatiPusvR4R+cNew8DV77+Pv+/dW+hdGZWbrUjTpWqZ+uTY5mU7UkdZKIQiWWbGtNA7EGQt8binC58cfmpL2hSPQ5Uk1/+A5xUXB6I1acKysHTLFtza2IgT3n4bjb29hd4lIvKR+mgUi9aswT3NzfiPrVsLvTujqo9GMTMcxhSXP+OdBbR+mWdaiIypJEkssg8GpjlpKVTG1EdtSbfH46jRNMguz8MpUhTMKS5Gg88D02d27UKTruPBOXPQqutYtGYNXty9u9C7RUQ+8EhrK45euxaloRB+PGsW/tHZ6fsv2w0utiJNV5PMmPqllqnX7UgdLBnFwDQnrbpeuIypT75Rud31Kd38SAT1Ph/Kv6epCceWluLfqquxZtEiLIxEsLihAbd+9BEsn0zqJyJvxS0LV73/Pi7buBEXVlbitcMPx9emT0eNpuHepqZC796I6j1YkQ8AmiyjUlX9kzHVdU9rmDpYZJ+BadZEskzSRM+YehmY1pWU+Lo16cZYDC/t3YuramsBAOWahj/V1eE7M2fiO9u24Zx33sFen7xuROSNj3t7ccLbb+PBlhbcf9BB+OWcOZikKFBlGVfU1OCxHTt8s+BnoDZdR6uuuz6/1OGXklEJy8LuRMLTGqaOag7lMzDNVpdposeymDF1uYZpuvmRCDpNEx/5dN7mfc3NKFdVnF9RkbpMkST89/7749lDD8UrHR04Yu1a309HIKL8eGnPHixcswYtuo6/H344rqip6Vd+6MvV1ei1LDza2lrAvRye81nlRcYUSAamPji27SxA1ycHM6YMTLPmfKOp9igoS1epqohZFrp9UDppezzueg1Th/Ph6Mfh/Jhp4letrfj36mqEhygfdkZ5Od5atAglsoyj167FYz49EBFR7oQQuO2jj/DZ+nocHolg7aJFOKK0dNDtasJhnFNRgXuam305ElQfi6FYlnGAi61I09Vqmi/mmDojkoWaY9puGEhM4KouDEyz5HyjKcRQvjO8kPVwfp4+ADsTCURN09V2pOlqNA1TfdqadPmOHeg0TVxZUzPsbQ6YNAmvLVyIf62owKUbN+Ka99+HPoE/fIjGo45EAue88w5u2rYNN82YgT/X1aF8hM/Iq2tq8F53N1b5sHSUF61I003P91B+lse6QrQjdVSHwxDwV9txrzEwzZKzaq5QQ/lAFm1JhQD+93+BsjJg6VIgxw9Cr4rrO1KtSX0WmAohcE9zM86YNg0zi4pGvG2xouChgw/GfQcdhAdaWnDiunXY7tOpCUSUmfXRKD65Zg1W7d2LZw49FD+YNWvUoO7EKVMwt7gY9zQ3e7SXY9cQjXo2jA/Yx5J2w8i9BnRTE3DJJUB5OfD00xn/unNsLdRQPjCxi+wzMHXs2ZPRzVt1HZNkGZM97KPrcP5YMvpG1d0NfPGLwHXXAZ/5DPCLXwAHHWSfZzklwOvAFPDnyvzVnZ1YF43iqhGypekkScJXamrw6uGHY3s8joVr1mBlhu8/IvKXx3fswNFr16JYlvHWokU4s7x8TL8nSRKuqqnB79rb0eyDYWyHbll4t7vb88AUQPblknp7gVtvBebMAf76V2DRIuC884Bvfzuj41ybYSAsSYgU4PiedVvScXQMYWAKAK++CsycCTz00JhT/y3JUlFe9tF1ZDyUv3UrcOyxwG9/CyxfDvz+98CmTcDixcAVVwBHHAH8/e8Z74czF6jGw6xxXUkJPujpQdRHq1h/3tSEA4qK8NmpUzP6vaNKS7F20SLUlZTg5Pp63NHY6Mt5ZkQ0PN2ycO3mzbjkvfdwbkUFXl+4ELOLizO6j0urqlAky3jAR1nTTd3dMITwbEU+0BeYZjzPVAj7uDZvHnDzzfZx7f33geefB+64A7j9duDUU4Fdu8Z0d+3J4vqFOL5XqiokZBCcmybwgx8A++9vH+vHAQamAHD44cD55wP/9m/AhReOaYi7UKWiACAsyyhVlLGtzP/LX4BPfhLo6gJWrwYuusi+vLYWePRR4LXXAEUBjj8euPhiYPv2Me9Hk66jXFVR5OG3Sr+1Jm3TdTzZ3o6v1tZm1WSgQtPw/Pz5uHHGDNy4dSvO27ABnT4KuoloeE3xOD61bh3ub27Gzw88EI8cfDCKs/g8LAuFcGlVFR5oaYHhk3nnzlx+L4rrO6Zn05b03XeBz34WOOcc4MADgYYG4Kc/BaZMASQJ+OY37ezp2rX2sfDtt0e9y7YCtCN1hGQZFao6tqH8jz+2R0D/8z+Ba68FPvEJ93fQA64HpvF4HDfeeCNqampQXFyMo48+Gi+++KLbm81MJAL88pfAr39tf8OaPx/4xz9G/JVCFdd3VKjqyBlTy7KHNE47DTj6aOCtt4C6usG3O+YY4J//BB58EHjpJXsI5Ac/AHp6Rt2Hpnjcs4VPjkOKi6HAPyvzf9nSAlmScHlVVdb3oUgSbp01C78/9FC8tGcPjlizBht88viIaGir9uzBwrfewsfxOF5ZsABX1dbmlGH7ak0NWnQdf9i5M497mb36WAwzw2GUhUKebbNUUVAiy2NbALVnD/C1r9nHtW3bgGeeAf78Z2Du3MG3PekkYM0aYNo0e/Tw0UdHvOv2ArQjTTemklFPP23HKlu3AitXArfcAhQomM431wPTyy+/HHfddRcuvfRS3H333VAUBaeddhr+MUrgVxBLlgD19fa3jhNOAP7rv4BhsleFzJgCoxTZ7+y059V85zvAd78LPPccsM8+w9+ZLNvZ4vffB776VftxH3KI/cYfYWjZy+L6Dj+1JjWFwH3NzbiwshLT8vCBcFaypFRYlnHkmjVYsWNHHvaSiPJJCIEfNzbi5Pp6HFpSgjWLFuHosrKc77cuEsFxZWW+WQTl9cInwJ5vO2qRfdME7r/fzo7+8pfAD38IbNgAnHmmnSEdzsyZ9rS9Cy+011tcey0wTPBXqHakjhGL7Mdi9lSF884DPv1pO2Y58URvd9Blrgamb7zxBp544gncdtttuP322/Hv//7v+Nvf/oaZM2fiW9/6lpubzt7MmcCqVXZq/L//G/jUp4CPPhp0s1ZdL0gNU8ewRfbfew848kjgb38D/vAH+zEMUVdzSGVlwJ13Au+8Y3/rPO884OSTgfXrh7y5lzVM082PRHxRMupPu3bho3h8zIuexuLA4mK8vnAhzq2owMXvvYevbd7MklJEPtGZSOD8DRvwra1b8c0ZM/B8XV1eM2tX1dRg5d69eNcHIyb1BQhMAXue6bBzTF95xR6Ov/JK4PTT7WTKjTcCYz0OTZpkB7P33GMHtyedBLS0DLpZodqROobNmK5bZz/+xx4DHngAeOopIMO1DUHgamD61FNPIRQK4YorrkhdFg6H8aUvfQmvv/46mvzaIzgUsidQv/yyPYdj/nzgN79JXa1bFnYaRkGH8ofMmD79tB2UKgrwxhvA5z+f3Z3PmQP86U/AH/9oP/4FC4BrrgF27+53s0JkTIFka9JYrOC95+9pbsYRkycPWTg7FyWKgkcOPhjLDjwQ9zY34zPr1vlqtS7RRLQhFsORa9bgxT178Lt58/CjWbMQGuuX/jE6r6IClaqKewucNd2h69hhGJ4ufHIMWcu0sdEe0TzxREDT7PUSDz8MVFdnvgFJskcGV60CPvjAXrn/2mv9btJuGAWpYeqoDof7Z0wtC7jrLuCoo4CiInu+7Je/PHKGOMBcDUzffvttHHTQQYgM+NZ1xBFHAADWrVvn5uZzd9xx9jeUz37W/qP40peAaDSVqSzkUH6/jKlp2uUwzjsP+Nzn7D/aOXNy38hpp9nZ09tvBx55xB46ueceIJGAYVloM4yCBKbzIxF0jdSatKPDni988cX2Iq958+wVmV/5ij3s8+ij9peObduGHcoZzQc9PfjL7t15zZamkyQJV9fW4uUFC/Bhby8WvvUWXvZhAW6iieCJtjYctWYNVFnGm4sW4ey0tsP5pMkyvlxdjYdbW7OvPNLTY2cSX3zRzg5+//v2VK2TT7ZLBM6caQc1zz037FoCr1uRpuvXlrSnx55advDBdrb0V78CXn/dDtBydeyxdoB3wAH2yOi99wJCwLAs7EkkCpoxrU5mTIUQwI4ddnb4G98ArrrKPr4ffHDB9s0Lrs5qbmlpQfUQ32icy5p9MpdmRPvsAzzxhB3YXHst8Pe/o+WxxwBkX1xfCIFuoxtdehckSJgcnoxJoUkZTZyvdBY/7dplr7R/6SW7LMYNN+T3W5Sm2fd5ySV28Hv11cD996Plf/4HAvB88ROQ1po0GsX+Tqu8jz+2J7//4Q/2N2HDsDO9l15qf7g1NtoLwJ5+GkhfXCBJ9rfuGTOGP02dOug5va+5GfuEQlhSWenqYz2mrAxrP/lJXPjuuzhp3TrcfsAB+Mb06QUpY0I00RiWhW9t3Yqfbd+Oiysr8cCcOShxuQrJFTU1+FFjIx5va8NXBn7xtSygrc3+PBvu1N7e/3eqqvo+y+bPt+/jj38E/u//gOJiO/Fy1lnAGWfYBelhf7Z62Yo0Xa2moTkeh/Xkk5BvuMEeal+61F4zkefRKVRV2cfOG26wg7433sDOn/0MQObtSIUQiBkxdMW7oMgKJmuTURQqyuqzukrT0GtZ6Hj+eUy57DL7wj/9yY5DJgBJuFg48YADDsDcuXPx3HPP9bt869atmD17Nn72s5/huuuu63fd2rVrsWjRIqxZswYLFy50a9f6WfniWtz7s1cgoe+pkCQBQECSAAELlmygorsZS998Cuvnzca5P/gBjl3+G0j6XiTkOBKhOAy5FwlFR0KOw1DiMJLnCTkOQ9aT/9eRkHUIqf/TLgkJqhWGaoZT5yErDNXUoFpFaT+HETKLsHfGodh8wsnYct75KI/G8ONjzsSGaXOgmkVQhAoIGYCUtnZJghDD/4FIqf0RaTFY8jLJgiWZMGUDs/Z8iC81/AW7qqfiX5Ytw2mPPoVuvQeWosOUDJhyAgnZgCUbSEgGTDl5kgwISUAWMiShQIYMSdgn2TmHkvpZFgqk1G2Uvt8TMiBkvH7RxahbsxbX/ea3OGZ7Iw7avRMJSUZDZS3+WXsA3qiejZ0lUyAnH7MAks+5QDhhYFp3Jyp6OlHR3YWK7k5UxJz/d6Gyuwtq2rzOXiWEtpII2oono62kBNvLpmDpLd/D3Pp3MXf1W2gvLoahKIAkYP8b+JwCg575Qa+FNOh/smVBM01opoWQZeHdYxZhwycXYtbG97H4j39BSU8vNNOCZpnQTBOqaUKCgJAkiOS7WUiw/y85P/ddDkiwpL7nx/6/lPwd9N1P8j5MWcLeKVPQXlmBtn0rsLOiAjsry9FdXAzFMiGbFpREAoplQUmYUEz7JJsmQslzxbSgmInkefI2CROy1ff/1OUDfpbTLzet5F73PW8Dn1KR/qxL/f8jpEFXDLpsqNsUXtp7SvS/rP9HysDLxMBf7/d5N9RthSTBkhWYigwzFLLPFedcgaUoMJ1TKO3/yesSA2+jyP1u1/+65GWyjEhXF8rbdqKirR2Vbe2oaGtHaWcnFNH3mCQISMJ+hQf+DACySH5+C+f/SN5WJG/b/2cBCbqiwFAUxBUFuqJgT2kp/nT2GdhRU4VFr7yG/d95DwlFga7I0GV7Xwc8pYN+GvCi9LvW+Ty2/+okQEgoShiojHXj72ecgljpZNx+653YN9aFyu4oKmNRlHdHoQ36bJqM9mLnVJp2XopdkyYjoYTsLQgp9fxYMFEb3Ykjmz7A0U0f4OBdrRCShA3l++L1T8zA7V/6f9hZPg2H/+kZ+/gnWRCSc25CSKb9f/Rd1v9n+5gh0i6zP9dVhKwQFEuFIlQoZvLc0hCyQpAtDcrUaXjxnFOx45xz8OGkafjVYYvRVrwvFKFCFkry2JZ8B6cd39Kf06GkH9NTr4ZkJY/JvTh++1pcveav+EvdApz90ztx6B+fwqQ9H8NQepFQ+o7pCcU+1jvH9L7j/NDH9b7jeBiqpSE08BhvhREyNYTMotTxv2dqLd76/Gl474tfREwP4ecLz0VMmwbZUtMed98x3Xnnf+e/T8f8hQcO+xzkm1vxmqsZ00mTJiE+xNy43uQQ7KQRvo0tXboUZQNWOl500UW4yKnDmUd3Pfg4nlV3AuEuQOsafK5FAcUeVvnFUcCZXUdANk1892/349/OttA6GYBeDOiTgfhk+zxa1v/n4c4hgHAXRLgTutYFPdxpbzfcmdyHtJ/Tzk/atR2bcTLerQ3hmpN60Tjlyb4HZClp2ym1/x8v7fvZKAYUHQj1AGrP4HO1e/BlaX9wd54AHN99kP18PP0wfjE/itv/BehxkqcJDUhMAoxJfefGJHu/5AQg99rnipH8Of004DKlbzgrZAInfASctREw31+AKjOBszetxZ9nAzd/GvjzbAsdkz4G8DGAVVm/HyQLqOgGZnQ4pwRmdOxNnoDN8xaju7gYTyy7Cwcks/4tEaCxDPi41D7vKAKKEkA4YZ8Pdwqbw1+nDPzK+PRyPH388bj8xhux8vyz8PR//ifmNjZm/ThH0l5WhvWzZqFh1iysnzUL6/ffHxv22w/dyb/ZaR0dqPvgA5y6aj1qd+60D+iaBj0Ugq6qiKsq9FAodVlcVaE7l6kqdE1FXC1Cb/plA37PLEDXFRq7UCKBsGFAM4zUuZZ22WTDgJYwEO6NQUsk+m6XdhstkUBY11OXKaaJbdXVWD9rFuqPWoSu5BzHsmgUh27bhrqtW3GYc9q2DWUuLRJ69bDD8K9X3gzZsvD3r30Nx27YMOg2hgzEFaA3NPQpPszlzklXgGn9PmeA8uTI+gstW/HZO+9EpDiOyXvfx6Zy4IUD7M+W9NPuSQlA2gMgu64/9yfP9+0Cznhf4KxNrfhiQyvuCV+BT9avxuEfPIY/zAHeqE2LBwHADAFWCLDU5HnyZA73c/KzX+0CtAHHmeRn/NRu4Ja/AQujc/DiOafi7C+W4/WpWwDc07ddS04eU4r7H1+GO7dU+/g91PHUObbLdqD/+zrg0cOBb7xnf/CWxn6L12p2Jo+hyeNndykQ37f/8XTg8TU+GZBNQOuCCHfB0LpgDBdbhLsAbSdQnPy/2oM57cDtK2tx9udPw3c+Nw2/q14HIf8k+byrI8YUM35pYP7Cb2b1XhjNihUrsGLFin6XdXR0uLItVzOmp5xyCpqbm7FhwB/1Sy+9hFNOOQXPPvssTj/99H7XFSJj+ptVv8f1LyyFZoWhiTDCoghq8v/2ZUXQrDBUqwhhUYR3D67Dtv0/gY8vWAJFCPz6+Iux6ROHwfkmk/web587Pw88h12JqX9Wzf4aP/A8/bqQaeDMN3+HSLwJh//f/+Hcv7yGSOce6HIPdDkOQ+pFXO5Nnsehy73QpV7ochxxqRe6FIcuxRFCCCGhQhUqQkJDSKipk5r2/77LNCjOdZaGzbMPRv2hc/GHb30Pp9S/ia5JETx71OlYv/8nIUtK8vH1//YqhNTv8Q4n/Taa3oM5H2/AvMZ3MPfj9zBJ78XukjJ85RvXY9Xh83HBn1bDCEmwkt/KLcmEBfvbu/PPfv6S2QkhJf8vpS7vu07ud2nqfyKV04AECc+cfDQmxeO45NmVmNbVianRTkyL2udTox2YFu1A2NBhKCEYSggJJQQjFOr3s+5criiDrrdvo/T9nLrOvm3LtCn49WknomNyMT776jrM+rgteb1sTzkQIi1LJACRlkFKvvGc601Fwp6yydg1JYKd+5Ri1z6l2LnPZHQXFwEAlISJaXu7ULG7I3Wq3NWBSHdPaoK6JOwsbb5ZEmDJMhKKnDxXYMoyLEVGYsCik7S8Z99lg5JXg997/fZ6qOsHZhwLbmA2N/2qvuz3QEO9Pv3vY/DvSoCd/XYy3ZaVzHTb/3cjj5z+XjIlCZ2RYrRNK0P71ORpnzLsmRJJZSsnR7tRvqcT0/Z0pU5TuqKQrb7RAfQbLZCAAaMIzt+Mlsz4r587Ay8fOQ8zWnZiyZ9fxT5dUYQsE2oiAdU0oZoJhMwENDMBNZFAyEqem33Xq6nrzNT/nd9zrg+ZCXSHJ2F3pBS7I2XYHSnFrkgpdkdKsXNyKe5fchqm7enEiasbgORIjDPqk/zJyW3b/6R+PyWf0cHXAYA9PpUciYI9QqUIGRIUqAkTD1x4Mr7+m9/j5kd+icm93eicFMG7M+Zhw8zDsKXmIJghe23BSBnKdEN99qd+tnQcufHvOHXNXyELC7/69Odw1X98HSf+43VUtX6MhKTDkOxRt4RkwJANJGAgIelIOJclz9NPhmTAgmkfx0UYYasoeUwvSh3T7fO+kyqKsGPfKjx/4kJ0nnYaXj70FKw69GQISe53DLefy+GO61K/mV/DHdclYaV+liQAwsKR7/8DZ63+HT4ur+FYVbAAACAASURBVMTsXz+Gf1n9FqZv34q41AtDto/jutQLQ44jLtmZW/vc/vmp836PoxcuGNNrkg+uxWvCRd/85jdFKBQSnZ2d/S7/4Q9/KCRJEtu3bx/0O2vWrBEAxJo1a9zctZxcuWmTWPDmm0Ls2CHE6acLAQhx7bVC9PS4u+HmZiGOO04IVRXbH3hAYOVK8dzOne5ucxg3bNkiZq9ebf+webMQn/+8/TyccIIQb7+d2503NgqxbJkQn/2sEKpq3++CBULcfLMQa9YIYVnioeZmgZUrRZdh5PxYMvFGR4fAypXimfZ2T7c7UJdhiAs3bBBYuVIs3bxZ6KY54u1NyxKbYzHxdFub+K9t28R569eLg1avFvLKlQLJ06zXXxdnr18vvrd1q/jNjh3ivWhUGKPcL5HXek1T1Hd1iUdbWsS3tmwRp9bXi+mvvZZ6H6urVonD3nhDXLxhg/jRhx+K53buFB/19AjLska8307DEP/6zjsCK1eKG7ZsKfh7/6eNjUJdtUq0xuOebre+q0tg5Urx6p49QiQSQrzyihDXXy/E7Nn2Z3FxsRDnnCPEr34lRK6fgy+9JMShhwohSUJ86UtCtLaKhGUJZeVKcV9TU34eUIZ+9vHHYtLLLwtx00324z3/fCEGxDB5t2uXEOedZ2/vy18WIhoVJS+/LH7S2OjudnPkVrzm6lD++eefjzvvvBMPPPAArr/+egB2J6iHHnoIRx99NGpra93cvGta4nF7RX5lJfDss8CyZXbbs1Wr7NXghxyS/42+9prdNhUAVq1CxdFHA6+8Mra2pC7oV8N09mx70dHzzwNf/7pdfuPLX7Y7SCUn049ICLuN3B/+YJ/WrrVLdp14IvCTn9hlr2bO7PcrzgKo9bEYjslDceuxure5GTPDYZw2bZpn2xxKJBTC8rlzcUxpKa7/4AO81dWF3xxyCKrCYbTrOtbHYvYpGkVDLIYNsRi6k3PTpoVCOCwSweemTsVhJSU4LBLBvOJiRDzs8EKUrbAsoy4SGdQqc49h4J1YDA3J9/36WAzP7tqFLtMEAJQpCg6LROz3vHOKRFAWCmFjLIZzN2zAx/E4njzkEJzv8qLGsbi8qgrf2bYND7a04NsDPv/c5NSIPiwS6WtXffzxwI9/DGzc2Pc5/f/+n51t/pd/sRdPnXWWfSwYiw8/BK6/3l6MeuyxwJtv2scNAArsxT/D1jJ1Waod6a232jVDL7vM7p74u9/ZVQ3y7ZVXgC98wS6c/9RTdnUdDFEyagJx9Uh05JFH4oILLsBNN92EtrY2HHDAAXj44YfR2NiIhx56yM1Nu6pV13GIU99NkuzV+ieeaK+OX7TIrjf2la/kZ3W8EHYZi69/3a5R+uSTQHU1NNgftCO2JXVRUzyOGQNLRS1ebAeYP/+5XaLkiSfsUh9f/ergVmmGYf9B/uEP9mr6jz6yV1yeeqq9QvLUU+1ex8OY67QmjUY9C0x3GQZWtLXh5pkzofhgVbwkSbhu+nQsmjwZF2zYgEPffBOqLKcKM4clCYckD8BLKitTB+MqTeOqfhp39lFVHD9lCo5P+9wQQqAxHkdDMlBdH4vhlb178YuWFiSSUzdmhMPYZRiYUVSENxcuxMEFqN05lH1UFRdXVuK+5mZ86xOfyHvN1OHUR6PYr6hocCtSSbIbr8ydC/zHfwCtrXZi5pln7BXzN9xgJ2XOOstOJhx55ODmLrEYcNttdpA7bZpdKP7iiwcdK4esZeqRfu1Izz3XfrznnAMccYRdajDb+uADJRL28fHWW+3SlI891q/X/Zjako5Xec2/DqG3t1d885vfFNXV1aKoqEgcddRR4q9//euwtw/CUP6M114T3/7gg8FXxGJCXHmlnY4/+2whch1m7+4W4vLL7fu75hohBgzpHLh6tbh+8+bctpGlWa+/Lr61ZcvwN9ixwx6SkCQhDjlEiBdeEKKjQ4gnnhDi4ouFmDLFflzTpwtx1VVCPP/8oMc3mnn//Kf46qZNOT6SsbuzsVFoq1aJHR4PrY1FS2+vuPb998V3OQxPNKqB0wFu3LLF82lBY7Gms1Ng5Urxew+nDp2ybp04q6Ehs1+KRoV4+mkhLrtMiGnT7M/2qir7GPDcc/axbPly+/M+HBbi298Woqtr2Ls7d/168dl163J7IFk6q6FBnFpf3//Cjg77mA4I8b3v2VMccrF1qxDHHCOEoghxyy1D3t8F77wjTsp1WpzLAjmUD9idnu644w7ccccdbm/KE0IItOr60MX1i4vt7ObixXYx/vnz7W9Yn/505hv66CP729q779odLr74xUE3qXBqmXpMCDF616fKSrtl2pVXAtddB5xyij08n0jYz8t119nfrA8/POvMspetSS0hcG9TEy6oqMhrC8J8qQqHcfeB3pUJIQqy4aYD+M3CyZNx1OTJuKepCWeNZVpUHtRHo7gy08YhJSV2VvGcc+zP+Ndf7xvy/8Uv+j77zz7bnp41a9aId1cbDuNve7KrNJCrdsPAgQMrBpWWAr/9rd1s5jvfsWtiP/64Xec8UytW2MfFqVOBV18FjjlmyJtVa5ovWtMWgjdjA+PInkQCuhAjF9c/+2ygvt7ulHTSSXZh+kwCyBdftKcE7N5tzy0dIigF7LakbQUITHcZBuJC9M0xHcnChfYf31NPAT/7md1tad06ewhj4cKcpjvURSJY71Fr0hf27MEHvb24KqDzookomK6qrcVf9+zB5u5u17e1Q9fRZhi5BeyhkD0n9c477Q5UGzbYAd1LL9nzNEcJSgE7MC3YHNPh2pHKMnDTTcCf/2x3X/rkJ+2pa2PV1WXPV734YruT07p1wwalgD2UP1HnmDIwzVDrWNuRTp9uB5i33mrPpznuOLsv70iEsLs3LV5sB6ZvvWVnFIdRoapoL8Ab12kXN+Z2pJJkT+i++mpgv/3yth/zS0rQZZr4cLjWpHn086YmLIhEcEy+O48QEY3gXysqMC0Uwr0edEp0RqDm52uerSTZ806/8Q3gM58Z869ND4fRYZqIJReueald10duR7p4MbBmjZ1FPfpoYPny0e/0zTftY/nTT9sjoI8/DoyyNqJa07A7kUA8raHCRMHANEPON5jqsQRlimJPEv/HP+w2mIcfbk9wHkpXF3DBBcCNNwLf+pbdfmyUld+VBRrKdyalF6Idabq6tNakbvqwpwfP7dqFq2pquGiIiDxVpCj4UnU1HmptRbfLgVp9NIoSWcasArQiTeccW7xeAKVbFjpMc/R2pPvvbx/XzzvPXlG/dOnQo6KWZWeLjz3WHrp/+217BHQMxxEn+bVjAmZNGZhmqCX5hzJqxjTdkUfab8izz7Z7t19yCdDZ2Xf9pk3AUUfZ5Zaeegr40Y/soHYUFcmhfOHBUHa6pngcMjJ8DlxQrWkoV1U0uDwP54GWFkxWFFy8776uboeIaChfqalBRyKBX7e1ubqdhlgMh0UikAv8BdwZjfM6MHUSPWNaR1BcDDzyCHD33XbJyFNOAXbs6Lu+udm+7Kab7IoFf//72MtpoS/5NRGH8xmYZqhV1zFZUVCSabvE0lL7TfzYY3Z5jQUL7HkqzzxjB66WBbzxRqqG2VhUqip6Lcvz4Y7tyTquXpUvGY4kSZhfUuJqxjRuWfi/lhZcXlWV+WtORJQHsyZNwqlTp+LnTU2uJiLqo9H8DePnwAlMvZ5n6kyNGzVj6nDKRb70kl3jddEi4J//tI/rdXXAe+8BL7xgJ5syTOQ4iZ+JWDKKgWmGWnR95IVPo/nCF+xJz5WV9rzTs86yV+2/8YZdLy0Dzh+P1wugRl2R76E6l1fmP9XejnbD4KInIiqoq2trsTYaxRv/v717j7Krru8+/tnnOpO55TL3EyWA5hHFBAFRIFQulUstImqBqI9WrgVLNatFBF12CbSr0rpEkZSbgEBFfQTBukBciAVd9mHRBkKLRHgoEHPmTGZymSQzyZx9Lr/nj5k9TJLJ5Nz2Ob+9z/u11vzBmTnn/MKemf2d7+/3/X537fLl9bPFol7avduKTgULolEtisXqnjEdKSdjOtsf/dHUudO3vOXN+/qJJ04VR512WkVr6Y7HFdWbu7TNhFEvZTpgq6hyHHbYVKX6jTdKra1TzfMryD56PzyjuVxdzwSlXdeawHRle7u+uWmTduXz6vBhctHadFqnLVyo/7VgQc1fGwBKdcbixTq0pUVr02m9z4cizA27dytvzMxUvUZLJZMzhbb14m3ll5wxnS2Vmpr+eN11U5MKL7mkqq4zUcdRb5M22ScwLVPVGVNPPD7VD60KMxnTOn/jprNZ/VEdx4DOx9t2+q+JCZ1Q4zU9v2uXfrtzpx5817tq+roAUK6o4+gvBgf11dde0zcOP1zdNT7jPzOK1IKtfGmqAKruGVPXVVskogWVHttKJqW/+7uarWegSVtGsZVfpppkTGukezowrXdl/qZstrQepnVwRFubYo6jF3zYzv/noSENJhL68EG6IwBAPVzY3y9Junt4uOav/cL4uA5taVGnDztPlWhEL9PRA/UwbZCBJs2YEpiWKeO6pbWKqoN4JKJFsVhdM6Z7CgVtz+et2cpPRiJ6x4IFWl/jyvyxXE73b96sywYHG17kBQCS1J1I6LzeXv3z0JAKNS6CWj8xYc02vjTVy7QRGdN5e5jWWbM22eeOW4bJQkFj+bw1GVOp/mNJZ3qYWhKYStIKHyrz7928Wa4xumRgoKavCwDV+FwqpdcmJ/X4tm01e01jjNaPj2uFJdv40tQ9Zth1la9jg/nRXK6y86U+GZj+f9BsCEzL4H2D1OSMaY3Ueyxp2VOf6mBljUeTGmO0Np3WR7u7rcmOA4AkHdfRoaPb27U2na7Za252XY3mclZlTFPJpIqSNtfx/nbAcaQN0j+9lV/vXuWNRmBahkyp40jrqN5jSTdZMvVptpXt7RovFPRajUaT/mpsTL/fs4cWUQCs4ziOrkil9Oi2bXptz56avKZ3FMqqwHT6HlPPc6YHHUdaZwOJhHLGaGsDJjw2EoFpGazMmMbj9c2YZrPqikbVbskBeUkz20+12s6/JZ3WuxYssKbzAADMtrq3V12xmG4dGqrJ660fH1d7NKpDW1pq8nq1sLQB059GLNvKb9Ym+wSmZci4rmKOoyUWfeP2JBJ1P2Nq0za+NPXD2xOP16Qyf9PkpB7ZskVXpFJyGjyWDwDmsiAa1Wf7+/XdTEaTNZj898L4uN7d1tbwUaSzLYnHlXScugWmk4WCdhUK5TfX95GXBGu2AigC0zIMu6764nGrfnh743GN1PEMio2BqeM4WtneXpPK/DsyGbVGo/pUX18NVgYA/viLwUFtzef1f0ZHq34t2yrypanf64N1rMyvqrm+T8iY4qBsahXl6YnH5RqjXTX4q7kUNvUwnW1FW1vVGdNcsajbMxn9774+a3r5AcBcli9YoA8uWqS1VW7nZ4tFbdi926qKfE89e5mOVjqO1Eet0ai6olEypjgwm5rre2aPJa0Hm8aRzrayvV3/Mzmpnfl8xa/x8JYtGnZdXTE4WMOVAYA/rhgc1P/duVPrdu2q+DVempiwahTpbEvrOJbUxoyp1JwtowhMy5DJZq0qfJLqO5a0YIwy2axVFfmeFbNGk1bqlnRaf9TVpSMt/AUNAPv60yVL9JZksqrWUd4RKFtGkc5Wz7Gk3j3UtsC0GZvsE5iWodkzpiOuq4Jk5VZ+taNJX5yY0FM7dtAiCkBgxCIRXTY4qO+PjGh7hfeAF8bHdVhLizosPL6Umj5jWo8aitFcTu3RqFqjUd/fqxzNOJaUwLRERWO0OZezLmO6ZPqXST0yppssnPrkSUYiOmLBgopbRv1zOq2+eFzndnfXeGUA4J+L+vuVN0bfGx6u6Pnrx8et3MaXpu41u4tFjVVxRKtUto0j9fQnEsrUeTRroxGYlmhLLqe8MdZlTGORiJbEYnXJmNo4jnS2FW1tFVXm78rnde/mzbpkcFCJCD8SAIKjP5nUx3p6tHZoqOzpd8YYrZ+YsLLwSapvL1PbxpF6BtjKx4HY2Fzf01OnsaRp11XccdRt4Q+vND2adHy87F/O92/erN2Fgi4bGPBpZQDgn88NDuqVPXv0y+3by3resOtqi2WjSGfzkiD1KIAayeWsqsj39CcS2lkoaHedOu/YgMC0RN5fLLa1i5LqN5bU62FqUx/X2Va2t2uiWNT/lDGmzxijtUND+nB3t5ZaNPUEAEp1YleX3t3WVnbrKO/ok62BqZcIqkvG1HWtzZhKzdXLlMC0RN43RZ+F37j1Gku6ydKKfI+3HfVCGdv5v9mxQ/89MUGLKACB5TiOrhgc1E+3bNEfJidLft4LExNqj0a1zNI/yhORiHrj8br0MrU5YyoRmGIOmWxWi2IxtVhWsSfVbyypjVOfZutPJtUbj5dVALV2aEjLW1t16qJFPq4MAPz1yb4+tUWjuj2TKfk568fHtcKyUaT7Wlqn6U/WnjGdvuc20zlTAtMS2dgqyuONJfWb7YGpJK1oby85MB3OZvXg6KiuSKWs/sUMAAfTEYvpM/39umNoSG6xWNJz1o+Pa4Wl2/ieVB0C0z2FgsYLBSsD08WxmOKOQ8YU+8u4rpWFT9L0GdNcztdeb8YYa8eRzrayra3krfw7MxnFHEef6evzeVUA4L/LBwe1OZfTQ6OjB/1abxTpSksr8j2pOkx/snEcqcdxnKZrGUVgWiKrM6aJhHLGaIePvd52FgqaKBatz5iubG/XayWMJs0Xi7otk9En+/q00MK/kgGgXO9sa9PJCxeWVAT1u4kJFWRv4ZMnlUj4fsbU1qlPnmZrsk9gWiLbM6aSv9OfZnqYWvr/wONtSx1sAtTPtm7VpmyWoicAoXLF4KB+vWOH/usgvwO9I09HWp4xXZpMaksup2yJxxMqMZMxtTQwbbaxpASmJcpYnjGV5Gtlvu3N9T1HLFiguOMcdDv/lqEhHd/Zqfd0dNRpZQDgv490d2sgkTho1vSFiQkdbuko0tm8e86Qj1lT797ZY+k9vtma7BOYlmA8n9d4oWBlD1NpVsbUx29cLzAdtPT/gSdRwmjS3+/erSe2bydbCiB04pGILh0Y0H3Dw/MeabJ5FOlsqTpMfxp1XXVGo0paOvmvn6187MvmqU+StCQelyN/t/I3ZbPqicet/cGdbUV7+7wZ01uHhtQdj+vjPT11XBUA1Mclg4OaLBZ13+bNc37eGBOIinzpzcDUz3OmtraK8gwkk9rsuir4WOBsE/ujDAt4gamtW/lRx9ESn5vsp13X+m18z8q2tgOOJp0oFHR3JqOL+vut7EkLANVKJZP6SHe31qbTc3Zrybiutubz1lfkS1JnNKr2aNTXynxbm+t7+hMJFSVtqUO/chsQmJYgY3nGVJo6tO33Vr7thU+eFdOjSV+dYzTpD0ZGtLNQ0F+wjQ8gxD6XSul3u3fr6R079vucd9QpCBlTx3GUSiR838q3OmM6fe9tlpZRBKYlGHZdJR1HCy0+JN7jd8Y0AD1MPd65qX23840xuiWd1oeWLNGy1tZGLA0A6uLkhQv1jgULdEs6vd/nXpiYUIfFo0j35XeTfdszpgNNNpaUwLQEXkW+Y/F0IL/Hkm4KwNQnT18iob45RpM+s3Onnhsfp+gJQOg5jqMrBgf1ky1b9qtoD8Io0tlSyWRTnzHt8zKmBKbw2Nxc3+PnWFK3WNRILheYwFSaezTp2qEhHdbSojMWL27QqgCgfj7d36+k4+jOTGavx4NS+ORZ6nfG1HWt7WEqTXWbWRKLkTHFmzKua22rKI83ltQP3l9pQQpMV+5Tmb/FdfXDkRFdPjgYmCwBAFSjKxbTp/r6dNvQkHLTDeonCwX9fvfuQLSK8qSSSQ257pwFrdWaKBS0u1i0toepp5ma7BOYliCTzVpd+CRNNdkfzeXmrMCslveXalDOmEpTlfmvT07OjGn97vCwHEmfHRho7MIAoI4uT6U05Lr66datkqTf7d49NYo0ABX5ntT02G0/qtK9omGbM6bSVMsoAlPMCMJWfk88rrwxGjvIjPhKbArIONLZvG2q/xofV8EY3To0pAt6e7XE8l8+AFBLK9vbdWJnp9ZOF0G9MD4uR/aPIp3Nz16m3k6jzWdMpeZqsk9gehD56fOVQciYSv6MJU1ns1oQiajL4q4E+3rH9GjS9RMT+vm2bXp9clJXpFKNXhYA1N0VqZSeHBvTSxMTWj8xocNbW9UeoN/nS32c/mT7OFLPQCJBuyhMGc3lZGRvc32Pn2NJ09MV+TZ3JdjX7NGka9NpHdvRoeM6Oxu9LACou4/19Kg3HtetQ0MzFflB0ptIKCp/AlPvnknG1B4EpgcRhOb60pvnY3zJmLpuoM6Xela2t+vxbdv02LZttIgC0LSSkYguHhjQPcPDem58PFCFT9LUdMOBZNKX6U8juZy6olElLB+3PZBIaKJY1C4fjuvZxu4rYQHbx5F6Fsfjiki+VOYHqYfpbCvb27Uxm9XCWEzn9/Y2ejkA0DCXDg5qvFDQWD4fuMBUmqpx8OuMqc3N9T3N1GSfwPQgvIxpn+XfuBHHUbdPvUyDNI50Nm+76rP9/VoQjTZ4NQDQOIe0tOhPlyyRpMBt5Uv+9TIdsXwcqae/iZrsB+f0c4MMu66643HFLU/zS/70MjXGaCigGdP3d3bq3O5ufX7p0kYvBQAa7qvLlgVqFOlsqWRSL23fXvPXDUzGdPoe3AwZUwLTgwhCD1NPrw9jSbfmcsoaE8gzph2xmB468shGLwMArHBMR4fuf+c7G72MiqR8ypiO5nJ6TwCONnRGo2qJRJoiY2p/GrDBMq4bmMC0x4et/JkepgEMTAEA4ZBKJrWjUNB4jYt/bB9H6nEcp2laRhGYHkQQmut7/MiYpgM4jhQAEC4zvUxrmHwxxmg0l7O+h6mnWVpGEZgeRLNnTNPZrCKS+gLwFyUAIJy8AtxabudPFAraUywGImMqTTfZJzBtbsaYQGVMe+JxbcnlVDSmZq+Znj5jGwtA8RcAIJxSPkx/Cso4Ug8ZU2jn9F9TAwHZxu5NJFSQtL2GZ3CC2sMUABAerdGoFsViNe1l6g2kCUJVvkTGFApOc32PH2NJ0wSmAAAL1LqXaVDGkXoGkkltyeWUKxYbvRRfEZjOw6t+C8oZUz/GkqZdl8AUANBwqRqPJfXuld0BCUz7EwkZ+TN63CYEpvMIXMZ0ep21rMxPZ7OB7GEKAAiXVCJR8zOmi2KxQAzQkZpnLGkwrkaDZFxXCyIRdQRknOWiWExRqWaV+bsLBW3P5wM5jhQAEC6pZLK2Z0wDMo7UMzOWNOS9TAlM5+G1inIcp9FLKUnEcdRdw7GkaZrrAwAssTSZ1GbXVb5GZyyDMo7U0xuPy5FCXwBFYDqPILWK8vQmEjXLmBKYAgBskUomVVTttrKDljGNRSLqicfZym9mGdcNTKsoT08tM6ZMfQIAWCJV4+lPo7lcYJrre5qhZRSB6TwCmzGtUWC6KZvVwlhMbQE5YwsACC+v3qFW50xHAjSO1NMMTfYJTOeRmZ56FCQ98XjN+pims1kKnwAAVlgSjyvpODWpzDfGaNR1g5cxTSbJmDYrt1jU1nw+eBnTGhc/sY0PALCB4zhTvUxrEJiOFwrKGhOoM6bS1FY+GdMmtXn6wgcuY5pIaEsup6IxVb8WPUwBADapVWAatHGknv5EQplsVqYG93hbEZgeQNCa63t64nEVJW2rQdZ0ExlTAIBFatXLNGjjSD0DiYSyxmhHPt/opfiGwPQAMgHNmNZqLGnBGA0zjhQAYJGlNRpLGuSMqRTuXqa+BqbDw8P60pe+pFNOOUUdHR2KRCJ66qmn/HzLmsm4riJS4Cr2ajWWdLPrqiBR/AQAsIY3lrTarWzvHrkkFqvFsupmgMC0Ohs2bNCNN96oTCajFStWSFJgpigNu656EwlFA7Jez0zGtMpvWu8MD2dMAQC2SCWT2lMsaqzKrewR19WSWEyxSLA2jr2MaZgLoHy9Iscee6y2bdumDRs2aM2aNX6+Vc0FsVWUJC2MxRRznKozppuY+gQAsIx3T6r2nOloAHuYSlJ7LKb2aJSMaaXa29u1cOFCP9/CN0Fsri9NZaR74vGaZEwTjqPugB0MBwCEl7eLV21l/kgAe5h6wt5kP1g57DrKuG4gM6ZSbcaSpl1Xg8lkYI5eAADCbyCRkKPqx5KO5nKBq8j3DEy3jAorAtMDCGrGVKrNWFJ6mAIAbBOPRNQbj1efMQ3oVr4U/ib7JZejGWOULfEboaWlpeIF2cBMt0oKcsZ0qMof2k2MIwUAWKgWvUyDOI7U059I6L8nJhq9DN+UHJg+9dRTOvXUU0v62g0bNmj58uUVL0qS1qxZo66urr0eW716tVavXl3V65Ziez4v1xgNBDRj2BuP6/nx8apeI53N6j3t7TVaEQAAtbG0yulPxpipjGlAA9NGZEwfeOABPfDAA3s9tmPHDl/eq+TA9IgjjtA999xT0tf29/dXup4Z3/zmN3X00UdX/TqVyAR06pOnJ5Go6oypMUZppj4BACyUSib12yqCop2FgnLGBK65vqc/kdC2fF7ZYlHJOrW7misxuG7dOh1zzDE1f6+SA9O+vj59+tOfrvkCbOQdKg7qVn5vPK6tuZwKxlTUh3VnoaCJYpEzpgAA66SqnP4U1HGkHm83d9h1dUjAj07OheKnOQwHPWMaj8tI2lph1pQepgAAW6USCW3J5TRZKFT0/KCOI/WEvcm+77O4brjhBknSiy++KEm699579fTTT0uSvvKVr/j99hXJuK46o1EtiEYbvZSK9M4aS1rJD553dofiJwCAbbzdvCHX1WGtrWU/3zvqFtiMqTeWNKQto3wPTL/61a/KcRwZY+Q4ju666y5JU43gbQ1Mg9wqSnrzh23EdfWutrayn+8FpoNkTAEAlknNarJfSWA64rpyJC0JaGDaHY8rKjKmFSsW7z3RagAAGqBJREFUi36/Rc0Fubm+9GZgWmkBVDqbVW88rkTAZggDAMIvVeX0p9FcTkvi8YpqMGwQcRz1JRKhHUtK5DGHoGdMu2IxxR2n4rGkm6jIBwBYqnN6XnylvUyDPI7UE+Ym+wSmc8i4bmB7mEpTxySqGUuadl0CUwCAtZZWUZkf5HGknn4yps0lyFOfPNWMJWUcKQDAZqlEouKt/JEKC4NtMpBMkjFtFnsKBY3l84HeypemzpmOVvhNm2YcKQDAYqkqpj+Nui4ZU4sRmO7D+wsk8BnTeLyijGm2WNRILsdWPgDAWqlksvIzpmHImE6fMS0a0+il1ByB6T6C3lzfU+lY0gzN9QEAlluaTGqogsDMGBOaM6Z5Y7StivHjtiIw3UcmTBnTCtL83mFyzpgCAGyVSiaVnw4yyzGWzytvTOAD05km+yHczicw3cew6yrmOFoc8G/annhc2/J55cvsI5smYwoAsJxXB1HuOdPRgI8j9YR5LCmB6T4y0z1MIwFtvOvxfui2lPnX5KZsVm2RiDoDOo4VABB+XvKk3HOm3k4iGVN7EZjuI+jN9T2VTn9KTzfXdwIemAMAwqs3kVDMcSrPmAY8MG2JRrUwFiNj2gwy2Wzgz5dKb2ZMKwlMOV8KALBZ1HE0UEEv09FcThEp8Mf1pPC2jCIw3UcYmutLb2ZMyy2AYuoTACAIUhVMfxpxXXXH44E/rieFdywpgek+MiHZyu+IRpVwnLIzppumt/IBALBZKpEo+4xpGFpFefoTiZkWj2FCYDpLwRhtDknG1HGcsseSGmM0xNQnAEAALK1g+lMYmut7BtjKD7+tuZwKCn5zfU+5Y0m35HJyjeGMKQDAepWMJQ3DOFJPP1v54TfTXD8kgVm5Y0npYQoACIpUMqmdhYJ25fMlPydsGdOdhYJ2FwqNXkpNEZjOEpZxpJ5yx5JuIjAFAASEd68qJ2satjOmUvia7BOYzuIdIg5LYFruWNK06yoqqS8k/34AQHh5x85KrcwvGqNR1w18D1OPt7sbtnOmBKazDLuuFsViSkbC8b+lJx4vK2OazmY1kEwqGoI2GgCAcBsscyzpWD6vgqZ2E8NggIxp+GVCUpHv6U0ktD2fV65YLOnr01TkAwACojUa1eJYrOTA1NtBDEvGdFEspoTjhK5lFIHpLGFpru/xztFsKTFrSg9TAECQpJLJknuZejuIYTlj6jhOKCvzCUxnCUtzfY9XeVhqZX6awBQAECDl9DL17oVh2cqXwjmWlMB0lozrhqZVlPTmX4Wl9jJNuy49TAEAgVHOWNLR6QLfRbGYv4uqozA22ScwnWU4bBnT6cC0lIzpRKGgsXyejCkAIDBSiURZGdPueFyREBX4spUfYuP5vMYLhVCdMW2LRtUSiZRUmT/TXD9E/34AQLilkkkNu25JRb6jIWqu7xlIJsmYhlXYmutLUweje0scS8rUJwBA0CxNJmVUWsukMI0j9fQnEhpxXRWMafRSaobAdNrMONIQBabS1DnTUrbyCUwBAEFTzvSnMI0j9QwkEiqq9FqSICAwnTYc1sC0xLGk6enhAgui0TqsCgCA6qXKmP4UpnGknjA22ScwnZZxXSUdR10hqtaTSh9LSg9TAEDQLI7FlHScknqZjoRoHKnHO34YpnOmBKbThqdbRTkhqtaTSh9LytQnAEDQOI5TUi/TojHaksuFqoepJPWRMQ2vsDXX9/ROH4w+mHQ2Sw9TAEDgpEoITLflcioqPONIPYlIREtiMTKmYZTJZkN3vlSaypjuKBTkHqSVBlOfAABBVEpgGrZxpLOFrWUUgem0sDXX93gViPNt5+eLRWVcl8AUABA4qWTyoGdMve40YavKl8LXZJ/AdFrGdUObMZXmbyWxeXqLg8AUABA0S6fHkpp5enl698BQZkwTCWVKnH4VBASmmsoYjuZy4cyYljCW1NsC4YwpACBoUomEJotFbc/nD/g1I7mcYo6jhSHrvCORMQ2lkVxORuHrYSpppgJxvq18xpECAIKqlCb7Xg/TsHXekaYzpgfJGAcJgalmNdcPYcawLRrVgkhk3sr8Tdmsko6jJSHc4gAAhJsXmM53znQkhONIPQOJhHYXixovFBq9lJogMNXU/4TTFi4MbcbwYL1M09msBkPYwxUAEH4DiYQcHTxjGsbCJ0l6W2urzli0SLsP0n0nKMJ32KICR3V06Imjjmr0MnxzsF6madflfCkAIJDikYj6Eol5x5KOuK4GQ3qfO7azUz9fubLRy6gZMqZN4GAZU8aRAgCCLJVIzLuVP5rLha65flgRmDaBUrbyw3qMAQAQfgdrsj8awnGkYUVg2gTm28o3xjD1CQAQaEvnCUwLxmgLGdPAIDBtAvNlTHfk89pdLHLGFAAQWPNlTLdNt4QMa1V+2BCYNoHeREI7CwVl56jY887kkDEFAARVKpnU1nxee+ZomRTmcaRhRGDaBOYbS+pVMRKYAgCCyquTGJrjPhfmcaRhRGDaBOYbS+ptfYRx6hUAoDksnWf6ExnTYCEwbQLzjSVNZ7Pqi8eViPCtAAAIpvnGko7mcoo7jjqj0XovCxUgGmkC3vbFXJX59DAFAARdRyymjmh0zl6mI66r3nic6YYBQWDaBBZEo2qLRA6YMSUwBQAE3YEq8+lhGiwEpk3iQL1M065LYAoACLylyeScY0m9jCmCgcC0SRyol2k6m6WHKQAg8FKJxIEzpgSmgUFg2iR6E4n9qvKzxaJGcznGkQIAAi+VTM59xpSt/EAhMG0SPfH4fn1Mh2iuDwAIiVQyqYzrqmjMXo+PspUfKASmTaI3Ht8vY5omMAUAhMTSZFJ5Y/aqp8gXi9qaz7OVHyAEpk2iJ5HY74ypd0icM6YAgKCb6WU6KzDdms9Lorl+kBCYNomeeFzjhcJec4Q3ZbNqj0bVGYs1cGUAAFTPq5eYfc6UcaTBQ2DaJLzzNbOzpulslsInAEAo9CYSijnOXpX5jCMNHgLTJjHXWFKa6wMAwiLiOBrcp2WUd88jYxocBKZNoneOsaT0MAUAhMm+059GXFdJx1FHNNrAVaEcBKZNomeOrfxNZEwBACGyby9Tbxyp4zgNXBXKQWDaJFqiUXVEozMZ06IxGmIcKQAgRFKJxF5V+YwjDR4C0yYyeyzpllxOOWMofgIAhMbSfbbyGUcaPASmTWT2WFLvB5czpgCAsEglk9pVKGjndP/SkVyOivyAITBtIrPHkm5i6hMAIGRmmuxP3+NGXZeMacAQmDaR2WNJ09msoqK3GwAgPPYNTMmYBg+BaROZPZY07boaTCYVpVIRABASXt1E2nWVKxa1PZ8nYxowvgamv/zlL3XhhRdq+fLlamtr0+GHH65LLrlEw8PDfr4tDqA3Hp+pyqe5PgAgbFqiUS2JxZTOZrWF5vqB5OuQ9KuvvlpjY2P6sz/7M7397W/Xq6++qu985zv62c9+pueff159fX1+vj320ROPa3exqIlCYaqHKdsbAICQ8XqZjjKONJB8DUxvuukmrVq1aq/HzjzzTH3gAx/Qd77zHV1//fV+vj32MTOW1HWVzmZ1xKJFDV4RAAC15U1/8nYIyZgGi69b+fsGpZJ00kknafHixdqwYYOfb4059M6a/sQ4UgBAGHm9TGcypgSmgVL34qfx8XHt2rVL3d3d9X7rpuf91fja5KR2FAqcMQUAhE4qmVTadTWay6klElFbNNroJaEMdQ9Mb7rpJuVyOZ1//vn1fuum523lPz8+LokepgCA8EklEto8fWStNx6XQ/eZQCn5jKkxRtlZY77m09LSMufjTz/9tL72ta/p/PPP18knn1zqW6NGkpGIOqNRPecFphwIBwCETCqZlJH0wsQE50sDqOTA9KmnntKpp55a0tdu2LBBy5cv3++xc889VytWrNCdd9550NdYs2aNurq69nps9erVWr16dalLxhx6EwkypgCA0PLqJ54fH9d72tsbvJpweOCBB/TAAw/s9diOHTt8ea+SA9MjjjhC99xzT0lf29/fv9d//+EPf9Dpp5+uRYsW6dFHH1VbW9tBX+Ob3/ymjj766FKXhxL1xOP6f3v2aHEsplbO3QAAQsZLugwzjrRm5koMrlu3Tsccc0zN36vkwLSvr0+f/vSny36DrVu36vTTT1cul9OvfvUrepc2mFedSLYUABBGi2IxtUQimiwW6WEaQL4WP01MTOhP/uRPlMlk9Oijj+rwww/38+1QAq8AisAUABBGjuPM1FCQMQ0eXxvsf/KTn9Szzz6rCy+8UC+++KJefPHFmc91dHTonHPO8fPtMQcvY0oPUwBAWC1NJvXq5CQ9TAPI18B0/fr1chxHd911l+666669Prds2TIC0wbw/nqkIh8AEFbermAP97rA8TUwfe211/x8eVSgl618AEDIefc4MqbBU/cG+2isHoqfAAAhN5MxJTANHALTJvOOBQvUF4/ryBJadgEAEETv7ejQW5NJ9bOVHzi+buXDPm9padHwiSc2ehkAAPjmhK4uvXH88Y1eBipAxhQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAUCUwAAAFiBwBQAAABWIDAFAACAFQhMAQAAYAVfA9Onn35aH/7wh/XWt75Vra2t6uvr02mnnabHHnvMz7cFAABAAPkamL7yyiuKxWK6/PLLtXbtWn3xi1/Utm3b9KEPfUj/8i//4udbI0AeeOCBRi8BdcT1bi5c7+bC9Ua1fA1ML7roIj300EO65ppr9NnPflZ//dd/rd/+9rfq6+vT7bff7udbI0D4RdZcuN7NhevdXLjeqFbdz5i2traqu7tb8Xi83m8NAAAAi8Xq8SY7d+6U67rasmWL7r33Xr388su68cYb6/HWAAAACIi6BKbnnXeefvGLX0iS2tra9KMf/UhnnXVWPd4aAAAAAVFyYGqMUTabLelrW1pa9vrvr3/967rqqqu0ceNG3Xrrrbrgggv005/+VB/84Af3e+6ePXskSS+99FKpS0PA7dixQ+vWrWv0MlAnXO/mwvVuLlzv5uHFaV7cVjOmRL/61a+M4zglffz+978/4Ou4rmuOPPJI8/a3v33Oz99///1GEh988MEHH3zwwQcfln/cf//9pYaSJSk5Y3rEEUfonnvuKelr+/v7D/i5eDyus88+W//wD/+gsbExLVy4cK/Pn3HGGbr//vu1bNkytba2lro8AAAA1MmePXv0+uuv64wzzqjp6zrGGFPTVyzBmjVr9K1vfUtjY2Pq7Oys99sDAADAQr4GpiMjI+rt7d3rsbGxMa1YsUKLFi3S+vXr/XprAAAABIyvVflnnXWW3vKWt+i4445Tb2+vNm7cqLvvvlujo6MlHwsAAABAc/A1Y7p27Vr94Ac/0IYNGzQ2NqYlS5Zo1apVuuaaa3T00Uf79bYAAAAIoIacMQUAAAD2VfeRpAAAAMBc6haYZrNZXX311RocHNSCBQv0/ve/X0888URJzx0bG9Oll16qnp4etbe369RTT9Vzzz3n84pRjUqv9y9/+UtdeOGFWr58udra2nT44Yfrkksu0fDwcB1WjUpV8/M92yWXXKJIJKKzzz7bh1WiVqq93k888YROPfVULVy4UJ2dnTr22GP1ox/9yMcVoxrVXO8nnnhCp512mnp7e9XR0aGVK1fq5ptvVrFY9HnVqMTExIT+9m//VmeeeaYWL16sSCSi733veyU/vybxWk27os7jggsuMPF43Hzxi180d9xxhznhhBNMPB43v/nNb+Z9XqFQMCeccIJpb2831113nbnlllvMu971LtPZ2WleeeWVOq0e5ar0eh9zzDHm8MMPN1/60pfMd7/7XXPttdeazs5O09/fb4aHh+u0epSr0us927PPPmvi8bhpbW01Z599to+rRbWqud533XWXiUQi5swzzzRr1641t912m1mzZo35xje+UYeVoxKVXu/HHnvMOI5j3v3ud5ubbrrJ3H777eYjH/mIcRzHfP7zn6/T6lGO1157zTiOY5YtW2ZOOeUU4ziO+d73vlfSc2sVr9UlMH3mmWeM4zh7/eKZnJw0b3vb28wJJ5ww73N/+MMfGsdxzIMPPjjz2OjoqFm0aJH5xCc+4duaUblqrvevf/3r/R57+umnjeM45itf+UrN14rqVXO9PcVi0Rx//PHm4osvNsuWLSMwtVg11/u1114zra2t5gtf+ILfy0SNVHO9P/GJT5iWlhazffv2vR7/wAc+YLq6unxZL6qTzWbN5s2bjTHG/Md//EdZgWmt4rW6bOX/+Mc/ViwW06WXXjrzWDKZ1EUXXaR///d/Vzqdnve5/f39+uhHPzrzWHd3t8477zw98sgjyuVyvq4d5avmeq9atWq/x0466SQtXrxYGzZs8GW9qE4119tz33336Xe/+51uuOEGGeoxrVbN9b711ltljNF1110nSRofH+d6W66a693a2qpkMqmurq69Hu/v79eCBQt8WzMql0gkZvrPl/uzWat4rS6B6XPPPafly5ervb19r8ff+973SpKef/75eZ87V2up9773vdq9e7defvnl2i4WVavmes9lfHxcu3btUnd3d83WiNqp9nrv2rVLV199ta699lr19fX5tk7URjXX+4knntA73vEO/exnP9PSpUvV2dmp7u5uffWrXyVAtVQ11/vKK69UsVjUZZddpg0bNuiNN97Qrbfeqp/85Ce65pprfF036q9W8VpdAtNMJqOBgYH9HvceGxoa8uW5aIxaX7ObbrpJuVxO559/fk3Wh9qq9npfd911amtr05o1a3xZH2qrmuv9yiuvaOPGjbrwwgt18cUX68EHH9RZZ52lG264QV/+8pd9WzMqV831XrlypZ588kn967/+q975znfq0EMP1ZVXXqmbb75ZV155pW9rRmPU6t7v6+Qnz549e5RMJvd7vKWlZebzBzI5OVnxc9EY1VzvfT399NP62te+pvPPP18nn3xyrZaIGqrmer/88sv69re/rR/84AeKx+O+rRG1U8319rbuv/71r+uqq66SJJ177rnatm2bvvWtb+naa6/dLzOHxqrmem/YsEEf+tCHdMghh+gf//Ef1dLSou9///v6y7/8S/X19emcc87xbd2ov1rFa3XJmLa2tiqbze73+OTk5Mzn/XguGqNW12zDhg0699xztWLFCt155501XSNqp5rr/fnPf14nnniizj33XN/Wh9qq9ve54zhavXr1Xo9fcMEF2rNnT9nHfOC/aq733/zN3ygWi+nf/u3f9KlPfUof//jH9dBDD2nVqlX63Oc+p0Kh4Nu6UX+1uvfXJTAdGBiYM4WbyWQkSYODg748F41Ri2v2hz/8QaeffroWLVqkRx99VG1tbTVfJ2qj0uv95JNP6vHHH9df/dVf6fXXX5/5yOfz2r17t9544w3t2rXL17WjfNX8fHuf2/cssVdssX379lotEzVSzfX+zW9+o1NPPXW/Qqezzz5bQ0NDeuONN2q7WDRUreK1ugSm73nPe/Tyyy/vd5N55plnJElHHXXUAZ971FFHad26dfsdjH/mmWfU1tam5cuX137BqEo111uStm7dqtNPP125XE6PP/44BTGWq/R6b9y4UZL00Y9+VIcddtjMx9DQkJ588kkdeuihuvvuu/1dPMpWzc/3scceK2OMNm3atNfj3s2sp6enxqtFtaq53vl8fs6sqFednc/na7hSNFrN4rWSG0tVweuD9k//9E8zj3l90I4//viZxzKZjHnppZdMLpebeczri/XjH/945rHR0VGzcOFCs3r16nosH2Wq5nqPj4+b4447znR1dZl169bVdd2oTKXXe+PGjeaRRx7Z6+Phhx82vb295rjjjjOPPPKIefXVV+v+78H8qvn5fvjhh43jOObLX/7yzGOFQsGsWrXKdHd3G9d16/OPQMmqud6rVq0yS5YsMVu3bp15LJ/Pm2OOOcZ0dXWZfD5fn38EKvLss88esI+pn/Fa3SY/nXfeeTOTI2677TZzwgknmEQisVdD9c985jPGcRzzxhtvzDxWKBTM8ccfbzo6OvaaJNDV1WVefvnlei0fZar0ep9zzjnGcRxz0UUXmfvuu2+vj4cffrgR/xSUoNLrPZdDDjmEBvuWq+Z6//Ef/7GJRCLmsssuM7fccov54Ac/aBzHMXfccUe9/xkoUaXX+7HHHjORSMS87W1vMzfeeKP59re/bY4//njjOI75+7//+0b8U1CCm2++2Vx//fXm8ssvN47jmI997GPm+uuvN9dff73ZsWOHMcbfeK1ugenk5KS56qqrzMDAgGlpaTHve9/7zC9+8Yu9vubP//zPTSQS2e8X2fbt283FF19suru7TVtbmznllFPMf/7nf9Zr6ahApdd72bJlJhKJGMdx9vs49NBD6/3PQImq+fneF5Of7FfN9R4fHzdf+MIXzMDAgEkmk2blypXm+9//fj2XjzJVc71//vOfm5NOOsm0tbXNXO/bb7+9nstHmZYtWzZz341EIjP35NnX1894zTGGrsYAAABovLoUPwEAAAAHQ2AKAAAAKxCYAgAAwAoEpgAAALACgSkAAACsQGAKAAAAKxCYAgAAwAoEpgAAALACgSkAAACsQGAKAAAAKxCYAgAAwAoEpgAAALDC/wc+H2+M+WWLmQAAAABJRU5ErkJggg==", "text": [ "Figure(PyObject )" ] } ], "prompt_number": 176 }, { "cell_type": "code", "collapsed": false, "input": [ "(D,V) = eig(Tdense(100))\n", "lambdas = D\n", "print(lambdas[1], \" \", lambdas[end], \"\\n\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.0" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "009674354160247115 3.999032564583976\n" ] } ], "prompt_number": 177 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This *massively* depends on the time step! If the time step is too large, the whole thing\n", "goes unstable. This should not surprise us, as the spectrum of $T$ has eigenvalues from nearly\n", "one down to $O(h^2)$. That is, the discretized system is very stiff, and the stiffness gets\n", "much worse as the mesh density increases. In order to maintain stability with Euler's method,\n", "we would need a time step of $\\Delta t = O(h^2/\\kappa)$. An alternative approach, of course, is to run\n", "backward Euler. This time, as a diagnostic, let's plot the solution at each time step and also the\n", "steady-state solution (which we computed earlier as the solution of an elliptic problem)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = zeros(N)\n", "plot(x[2:end-1], u)\n", "A = speye(N) + dt*(kappa/h^2)*T\n", "for j = 1:50\n", " u = A\\(u+dt*f)\n", " plot(x[2:end-1], u)\n", "end\n", "plot(x, usteady(x), \"k--\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 178, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 178 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we're going implicit anyhow, we may as well ask for the same order of accuracy in space as in time,\n", "which suggests perhaps using the implicit trapezoidal rule instead of backward Euler. In the context of\n", "solving the heat equation, this is sometimes called the \n", "[Crank](http://en.wikipedia.org/wiki/John_Crank)-[Nicolson](http://en.wikipedia.org/wiki/Phyllis_Nicolson) scheme." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u = zeros(N)\n", "A0 = speye(N) + dt*(kappa/h^2/2)*T\n", "A1 = speye(N) - dt*(kappa/h^2/2)*T\n", "for j = 1:50\n", " u = A0\\(A1*u+dt*f)\n", " plot(x[2:end-1], u)\n", "end\n", "plot(x, usteady(x), \"k--\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 179, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 179 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Wave equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's consider the wave equation, a simple _hyperbolic_ PDE that models\n", "wave propagation. The PDE is\n", "$$\n", " \\frac{\\partial^2 u}{\\partial t^2} = c^2 \\frac{\\partial^2 u}{\\partial x^2}, \\quad u(0) = u(1) = 0\n", "$$\n", "with given initial conditions. We could add a forcing term, but we're not going to for\n", "this lecture.\n", "\n", "As in the parabolic case, we first discretize in space, then in time. Discretizing in space gives\n", "$$\n", " \\frac{d^2 u^h(t)}{dt} = -(c/h)^2 T u\n", "$$\n", "Now we apply a second-order finite difference in time as well:\n", "$$\n", " u^h(t_{k-1})-2u^h(t_k)+u^h(t_{k+1}) = -(c \\, \\Delta t/h)^2 T u.\n", "$$\n", "Rearranging this a bit gives us a simple solver iteration.\n", "$$\n", " u^h(t_{k+1}) = 2u^h(t_k)-u^h(t_{k-1})-\\xi^2 T u, \\quad \\xi = c \\frac{\\Delta t}{h}\n", "$$\n", "The _numerical wave speed_ $\\xi$ is a measure of how fast waves move in the\n", "numerical method (in units of grid points per time step). We need to make sure\n", "that $\\xi$ is sufficiently small (less than one) in order to remain stable;\n", "this is sometimes called a _CFL_ (Courant-Friedrichs-Levy) condition.\n", "\n", "Let's draw some pretty pictures of the wave equation applied to a Gaussian bump.\n", "The main point of this exercise is to make sure that we actually understand\n", "what we're doing well enough to make progress. So far, I've written all the other\n", "solvers in this document; assuming we get this far, let's do this one collaboratively!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 100\n", "x = linspace(0,1,N+2)\n", "u0 = exp(-100*(x-0.5).^2)\n", "u0 -= u0[1]\n", "plot(x,u0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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", "text": [ "Figure(PyObject )" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 180, "text": [ "1-element Array{Any,1}:\n", " PyObject " ] } ], "prompt_number": 180 }, { "cell_type": "markdown", "metadata": {}, "source": [ "I was a bit silly about this in class -- I got the numerical method right, but forgot\n", "to make copies of the data in the right places. If I do set up the copies appropriately,\n", "we get a very pretty picture of the propagating waves." ] }, { "cell_type": "code", "collapsed": false, "input": [ "xi = 0.4\n", "u0 = exp(-100*(x-0.5).^2)\n", "u0 -= u0[1]\n", "u1 = copy(u0)\n", "unext = copy(u1)\n", "T = Tsparse(N)\n", "for j = 1:100\n", " unext[2:end-1] = 2*u1[2:end-1]-u0[2:end-1]-xi^2*(T*u1[2:end-1])\n", " if mod(j,10) == 0\n", " plot(x, unext)\n", " end\n", " u0, u1, unext = u1, unext, u0\n", "end" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dkAootf/5J6DXm7sSIqLyYUglIvrHH38ALi7AY4+Zu5Ky8/UFUlKAqChzV0JEVD4MqURE/9i1C3jiCcDOztyVlF3v3oCbG7v8iajqY0glIgJw8yYQFla1u/oBwMYGGDJEaRUmIqrKGFKJiKCMiNfrlRHyVZ2vLxAZCVy/bu5KiIjKjiGViAhK93jnzkDDhuaupPyGDlV+/vWXeesgIioPhlQiqvH0emVEfFXv6s9Xvz7QvTuvSyWiqo0hlYhqvMOHgdTU6hNSAeVc/voLyMszdyVERGXDkEpENd4ffwC1awM+PuauxHSeegq4dUsZDEZEVBUxpBJRjbdrlzIi3sbG3JWYTvfuQL167PInoqqLIZWIarTr15Xu/urU1Q8AVlbKACqGVCKqqhhSiahG270bUKmUltTqxtdXudXrtWvmroSIyHgMqURUo6nVytRTHh7mrsT0Bg9WfgYFmbUMIqIyYUglohotJATo39/cVVSMunWB9u2VcyQiqmoYUomoxrp6Fbh0qfqGVEA5t+Bgc1dBRGQ8hlQiqrHyWxgfe8y8dVSkfv2A2FggKcnclRARGYchlYhqrJAQoEMHpVu8uurXT/m5f7956yAiMhZDKhHVWMHBd0NcdeXlBbRqxS5/Iqp6GFKJqEa6fh04e7b6h1RAOUcOniKiqoYhlYhqpPzQVhNCav/+wPHjwI0b5q6EiMhwDKlEVCOFhCjd4F5e5q6k4uUH8QMHzFsHEZExGFKJqEaqzvOj3q9ZM6BJE3b5E1HVwpBKRDXOzZtK93dN6OrP168fB08RUdXCkEpENc6BA4BIzQup0dFAerq5KyEiMgxDKhHVOCEhSvd3s2bmrqTy9O8P6PXAwYPmroSIyDBGhVStVos5c+bAy8sLTk5O8PHxQWBg4AO3GzBgAKysrIp92NnZlbl4IqKyqAnzo96vdWugfn12+RNR1WFjzMoTJ07E9u3bMWPGDLRu3Rr+/v7w9fWFWq1Gnz59Stxu4cKFSE5OLrQsMzMTr7zyCoYMGVK2yomIyiAjAzhyBJg61dyVVC6VSmlN5eApIqoqDA6pERER2LJlC5YtW4aZM2cCAMaPH4+OHTti9uzZCA0NLXHbwYMHF1m2YcMGAMALL7xgbM1ERGUWGqp0e9e0llRAOecZM4A7dwAnJ3NXQ0RUOoO7+7dt2wYbGxv4+fkVLLO3t8fkyZMRFhaG+Ph4ow68adMmuLi44OmnnzZqOyKi8ggJUbq9W7c2dyWVr18/IDcXCA83dyVERA9mcEiNjo5GmzZt4OLiUmh5jx49AAAxMTEGHzQlJQV79+7FqFGj4OjoaPB2RETllT8/qkpl7koqX4cOwEMPscufiKoGg0NqYmIiPD09iyzPX5aQkGDwQbds2QKdTseufiKqVHfuABERNbOrHwCsrIDHHuPgKSKqGgwOqRqNBvb29kWWOzg4FDxvqE2bNsHDwwNPPPGEwdsQEZXXoUNKd3dNudNUcfr3V7r7tVpzV0JEVDqDB045OjpCW8y7WnZ2dsHzhrh48SLCw8Mxffp0WFkZlpFnzJgBNze3QsvGjRuHcePGGbQ9ERGgtCA+9BDQvr25KzGffv2A7GwgMhLo29fc1RBRVRMQEICAgIBCy27fvl0hxzI4pHp6ehbbpZ+YmAgA8PLyMmg/mzZtAmDcqP7ly5eja9euBq9PRFSckBClu9vA78fVUufOQK1ayv8FQyoRGau4RsIjR46gW7duJj+WwW/V3t7eiI2NRUZGRqHlhw4dAgB06dLFoP1s2rQJrVq1Qs+ePY0ok4iofHJygLCwmt3VDwA2Nko45eApIrJ0BofU0aNHQ6fTYc2aNQXLtFot/P394ePjg4YNGwIAkpKScObMGeTl5RXZR3R0NM6cOYPnn3/eBKUTERkuMlLp5q6pg6bu1a+fMl9sMW/TREQWw+CQ2rNnT4wZMwbz5s3DnDlzsGbNGgwcOBBXrlzB0qVLC9abO3cu2rdvX+ylARs3bgTACfyJqPKFhCjd3J07m7sS8+vXD8jMVO68RURkqYy6Ler69evxzjvv4Mcff0RaWho6d+6MnTt3ou89FzapVCqoipmAUK/XY8uWLejWrRta18RZtInIrA4eBB59VOnurum6dwfs7ZXLH3jlFRFZKqOGD9jb22Pp0qVISEiARqNBeHh4kWmk/P39odPp0KRJk8IHsrLC1atXERkZWf6qiYiMIKJMu+TjY+5KLIOdHdC1K+88RUSWrQaPcSWimuLSJSA1FejVy9yVWI5evZR5Y4mILBVDKhFVe/lhjCH1Lh8fJbwnJ5u7EiKi4jGkElG1Fx4OtGoF1Klj7kosR35gZ2sqEVkqhlQiqvYOHWIr6v2aNgU8PBhSichyMaQSUbWm1QLR0Rw0dT+VSvk/4eApIrJUDKlEVK3FxCh3m2JLalG9eik3OdDrzV0JEVFRDKlEVK0dOqTMCcpJ/Ivy8QHS04EzZ8xdCRFRUQypRFSthYcrc4La2Zm7EsvTvbvS7c8ufyKyRAypRFStcdBUyVxdgfbtOXiKiCwTQyoRVVspKcDFiwyppfHxYUglIsvEkEpE1RYn8X+wXr2A48eBzExzV0JEVBhDKhFVW4cOKXOBNmtm7kosV69eyuj+qChzV0JEVBhDKhFVW/nXo6pU5q7EcnXoADg7s8ufiCwPQyoRVUt6PQdNGcLaGujRgyP8icjyMKQSUbV09qwyByjvNPVgvXqxJZWILA9DKhFVS4cOKd38PXqYuxLL5+MDJCQA166ZuxIiorsYUomoWgoPB9q1U+YCpdLlXxLBLn8isiQMqURULR06xK5+Q3l6Ao0bs8ufiCwLQyoRVTtZWcrcnxw0ZThO6k9EloYhlYiqnagoQKdjSDVGr17A4cNAbq65KyEiUjCkElG1c+iQMvdnhw7mrqTq6NUL0GiAEyfMXQkRkYIhlYiqnUOHgO7dARsbc1dSdXTtqvx/scufiCwFQyoRVTvh4ezqN5aTE9CpE0f4E5HlYEglomolPl55cGS/8Th4iogsCUMqEVUr+SGLLanG69ULOHMGuHXL3JUQETGkElE1Ex4ONGoEeHmZu5KqJz/YR0SYtw4iIoAhlYiqmYgItqKWVevWgLs7QyoRWQaGVCKqNvR64MgRZWQ/Gc/KCujWTZlnlojI3BhSiajaOHcOyMhQghaVTbduyqT+RETmxpBKRNVGfgtg167mraMq69YNuHYNSE42dyVEVNMxpBJRtREVBTRvDtSpY+5Kqq78SyXY5U9E5saQSkTVRlQUu/rLq3lzoHZthlQiMj+GVCKqFvIHTTGklo9KpVwuwZBKRObGkEpE1QIHTZkOB08RkSVgSCWiaoGDpkyHg6eIyBIwpBJRtRAVBTRrxkFTppDfGs0ufyIyJ4ZUIqoWoqI4ib+ptGih3HmKIZWIzIkhlYiqPA6aMi2VineeIiLzY0gloirv/HkOmjI1hlQiMjejQqpWq8WcOXPg5eUFJycn+Pj4IDAw0ODtAwMDMXDgQLi7u8PV1RXdu3fH1q1bjS6aiOhe+SPROWjKdLp1A65e5eApIjIfo0LqxIkTsXz5cowfPx4rVqyAtbU1fH19ERoa+sBt/f39MWTIENjb22Px4sVYtmwZ+vXrh2vXrpW5eCIigIOmKgIHTxGRudkYumJERAS2bNmCZcuWYebMmQCA8ePHo2PHjpg9e3apQTUuLg7Tpk3Df//7Xyxfvrz8VRMR3YN3mjK9ewdPDRtm7mqIqCYyuCV127ZtsLGxgZ+fX8Eye3t7TJ48GWFhYYiPjy9x22+++QYigvfffx8AkJmZCREpR9lERIr8QVMc2W9aHDxFROZmcEiNjo5GmzZt4OLiUmh5jx49AAAxMTElbhsYGIi2bdti586daNSoEVxdXVG3bl28++67DKtEVC4cNFVxGFKJyJwMDqmJiYnw9PQssjx/WUJCQonbnjt3DleuXMGkSZMwZcoUbN++HcOGDcOHH36IBQsWlKFsIiIF7zRVcTh4iojMyeBrUjUaDezt7Yssd3BwKHi+JPnd+0uWLMGsWbMAAM888wxu3ryJL7/8EvPnzy/SQktEZIjDhzloqqLcO3iK16USUWUzOKQ6OjpCq9UWWZ6dnV3wfGnbajQajBs3rtDyf//739i9ezdiYmLQt2/fErefMWMG3NzcCi0bN25ckf0RUc3DQVMVh4OniOh+AQEBCAgIKLTs9u3bFXIsg0Oqp6dnsV36iYmJAAAvL68St/Xy8sKFCxdQv379Qss9PDwAAGlpaaUee/ny5ejKvjwiuk/+oKl588xdSfWkUimXUfC6VCLKV1wj4ZEjR9CtAloLDL4m1dvbG7GxscjIyCi0/NChQwCALl26lLht9+7dISJF5kTND7316tUzuGAionz5g6Y4sr/idO/OkEpE5mFwSB09ejR0Oh3WrFlTsEyr1cLf3x8+Pj5o2LAhACApKQlnzpxBXl5ewXpjx44FAHz//fcFy/R6Pfz9/VGnTp0KSd9EVP1x0FTFyx88lZJi7kqIqKYxuLu/Z8+eGDNmDObNm4fk5GS0bNkS69atw5UrV+Dv71+w3ty5c7F+/XrExcWhSZMmAICnn34agwYNwuLFi5GamopOnTrhl19+QWhoKNasWQNbW1vTnxkRVXu801TFu3fw1NCh5q2FiGoWo26Lun79erz55pv48ccf8cYbb0Cn02Hnzp2FBj2pVCqoVKoi2/7yyy/473//i99++w0zZ85EcnIyNm7ciClTppT/LIioRjp8mIOmKlr+4KnDh81dCRHVNCqx4Nn08y/EjYqK4sApIipEr1fC07x5HDhV0QYNAlxdgZ9/NnclRGSJKiqvGdWSSkRkKXinqcrDO08RkTkwpBJRlZQfmhhSK1737hw8RUSVjyGViKokDpqqPPcOniIiqiwMqURUJXHQVOXh4CkiMgeGVCKqcvR6IDqa86NWlvw7Tx05Yu5KiKgmYUgloirn0iUgPZ0htTJ5eytfDIiIKgtDKhFVOflhydvbvHXUJN7eQFwckJZm7kqIqKZgSCWiKic6GvD0BOrXN3clNUeXLsrPmBjz1kFENQdDKhFVOdHRbEWtbA8/DDg4sMufiCoPQyoRVTkMqZXPxgbo1IktqURUeRhSiahKSUpSHgyplY+Dp4ioMjGkElGVwkFT5uPtDZw+DWg05q6EiGoChlQiqlKiowE3N6B5c3NXUvN4ewM6HXDihLkrIaKagCGViKqU6GhlpLlKZe5Kap5HHgGsrdnlT0SVgyGViKoUDpoyH0dHoG1bhlQiqhwMqURUZdy+DVy4cHfOTqp8HDxFRJWFIZWIqoyjR5WfbEk1H29v4Ngx5dpUIqKKxJBKRFVGdDRgbw+0a2fuSmoub29ldP/Zs+auhIiqO4ZUIqoyoqOBjh0BW1tzV1Jz5V9qwS5/IqpoDKlEVGXExLCr39xq1waaNWNIJaKKx5BKRFWCVgucPMmQagk4eIqIKoONuQsgIjLEyZNAXl7JIVVEcPT6UWw+sRnJWclo4NKgyKOJWxM42DhUbuEW6nb2bVxNv4qkzKSCR2JGIlLupKBLgy4Y22EsGro2LHZbb29g+XJAhPPVElHFYUgloiohOloJRJ06FV5+Ke0SNh3fhI3HN+J06mnUdaqLlrVbQh2nRmJGIrQ6bcG6rvau+E+n/+DVHq+ifb32lXwG5qcXPf6++De+OvwVfj/7O3Ryd4i+q70rGrg0QG2H2thycgve3vM2Hm/+OJ7v+Dyebf8s3B3cC9b19gbS0oArV4CmTc1xJkRUEzCkElGVEB0NPPww4Oys/HvjsY1YFbkKYdfC4GzrjFFtR+GzJz/D4BaDYWutjKwSEaRr05VWwsxE7L2wF99Ff4eVkSvRv2l/vNbjNYxqOwp21nZmPLOKd1NzE2tj1uLrw1/j/M3zeMTjEXw59Et09eyKBi4NUN+lPpxsnQrWv5V9CztO78Cm45vw8u8v47Vdr+Gp1k9hbt+56NmwZ0FrdnQ0QyoRVRyGVCKqEvLvNKUXPeYGzsWnBz/F0FZDselfmzBXHaJ0AAAgAElEQVTy4ZFwtnMuso1KpYKbgxvcHNzwcN2HMaDZAPzfgP/DjtM78PXhrzF221jUd66PV7u/ird6vwUXOxcznFnFuZR2Ce+HvI/NJzZDp9dhTIcx8H/aH30a94GqlH56dwd3TPKehEnek5CQkYAtJ7bg++jv0X9tfwQ8G4CnHx6FevWU12TUqEo8ISKqUVQiIuYuoiRHjhxBt27dEBUVha5du5q7HCIyE50OcHMDFrybg1OtJ2PjsY1YPmQ53vB5o1z7PZF8At8c/gbfR3+P2g61sWTwErzQ6QVYqar2mNLMnEx8cuATLDu4DHWc6mB6z+mY5D0JHs4eZd6nNk+L8T+Px/bT2/GV71fYsWAq7O2B334zYeFEVCVVVF6r2u/ERFQjnD8PZOVmYrv9CGw9uRUBzwaUO6ACQEePjljpuxKnp51G3yZ98Z9f/oM+P/RBRHyECaqufCKCDcc24OGVD2PZwWWY1XsWYl+Pxdy+c8sVUAHA3sYem0dvxrQe0/DKH68gq8ciHIm22DYOIqoGGFKJyOIFRSYDEx7H2aww/PnCnxjbcaxJ99/MvRm2jtmKoAlB0ORq0Ou7Xnjp15eQmJFo0uNUpMj4SPT5oQ/G/zwevRv3xpnXz+CDgR8UexlEWVmprPDl0C+xeNBihNq+h3jvqUhKzjPZ/omI7sWQSkQW7cLNC5h7rjesal/D/kkhGNh8YIUdq3+z/ojyi8I3T32D38/+jjYr22DZwWXI1eVW2DHLKyUrBVN+m4Ke3/VEVm4W1BPU+GnMT2jm3qxCjqdSqTC371ws7uUPeP+Af21+Fndy71TIsYioZmNIJSKLlZyVjMf8H0OO1gqPXzyILg26VPgxra2sMbX7VJybfg4vdXkJcwLnoPM3nbHv0r4KP7YxdHodVkWsQpuVbbD99Has8l2FKL8oDGg2oFKOP/vJiXD4+XccTgvEs1ufhQUPbyCiKoohlYgs1rRd05Crz4VDQAj6dmheqceu7VgbK4atwBG/I6jjVAeD1g/C2G1jcS39WqXWUZyDVw+i+7fdMf3P6RjdbjRiX4/Faz1eg41V5U3YYmUFdHMdht5Xt2P3+d1YE7Wm0o5NRDUDQyoRWaStJ7di26lteL/XKty80sBst0Pt3KAzQiaGYP2o9QiOC8bDKx/GJwc+gSZXU+m1JGQkYOIvE9Hnhz6wsbJB+JRwfDvyW9RzrlfptQDKlGDXQ4diivcUvL33bcTdijNLHURUPTGkEpHFSc5KxrRd0zC6/Wg0uv0cgJJvh1oZVCoVxncej7Ovn8XUblOxcN9CNPuyGZaGLkWGNqPCjx93Kw6v7nwVzb9sjt9jf8fq4asRPjkcPRv2rPBjl8bbGzh7Fni/72eo7VAbU36bwm5/IjIZhlQisigigtf+eA0AsMp3FaKjgYceAho3NnNhANwc3PD5kM8ROz0Wox4ehYX7FqLpF02xKGgRbmpumvx4Z1LPYMIvE9BqRStsP70d7w14D5feuAS/bn6wtrI2+fGM1aULIALEnXXFdyO/w9+X/sbqqNXmLouIqgmGVCKyKFtObimYMN7D2aPgTlOl3CCp0rWo3QKrR6zGxTcu4j+d/4OloUvR9IummL13No4mHYVe9GXetzZPi32X9uG5n55D+1XtEXgxEJ89+Rni3ozD3L5z4WrvasIzKZ8OHQAbG+XOU0+2fBIvd30Zs/bOYrc/EZkEb4tKRBbjeuZ1vL7rdYxpPwZjOowBoASgMWPMXFgJGrk2whdDv8D8x+ZjedhyrIpchU8PfgoPZw8Maj4IT7R4AoNbDEZjt5KbgfWix/Hrx7H34l4EXgxEyOUQaPI0aO7eHN8M/wYTOk+AvY19JZ6V4eztlaAaHa38e9mTy/DXhb8w+bfJ2Dt+b5W/cxcRmRdDKhFZBBHBq3+8CiuVFVb5rgIA3LwJXL5s3utRDeHh7IHFgxfj/wb8Hw5ePYjAi4EIvBiIzSc2QyBoU6cNGrk2KrKdiOBkykkkZyXD0cYR/Zr2w/uPv48nWjyBR+o/UiVCnrf33ZDqau+K70Z8hyc3PInVh1fj1R6vmrc4IqrSGFKJyCJsPrEZP5/5GT+N+algtPrRo8pzlh5S8znYOGBg84EY2HwgPh70MW5qbkJ9SY19l/YhLTut2G18GvngiRZP4NHGj8LBxqGSKy4/b28gIADIzQVsbYEnWj4Bv65+mLV3Foa2GormtSt36jAiqj4YUonI7G7cuYHX/3wdz3V4DqPbjy5YHhMDODoCbdqYsbhyeMjxITzb/lk82/5Zc5dSYbp0AbRaZZR/x47Ksk+f/BS7L+yG304/7B2/17wFElGVZVRfklarxZw5c+Dl5QUnJyf4+PggMDDwgdutXbsWVlZWxT6Sk5PLXDwRVQ//i/gfNLkarBi6otDy6GigUyfA2vwD2akEnTsrP/O7/AGl2//LoV8i8GIg9l/eb57CiKjKM6oldeLEidi+fTtmzJiB1q1bw9/fH76+vlCr1ejTp88Dt//ggw/QvHnhrh83NzfjKiaiaiVDm4EVh1ZgarepqO9Sv9BzMTFA795mKowM4uYGtGihvFbjx99dPvLhkejo0RGLDyzGY00fM1+BRFRlGRxSIyIisGXLFixbtgwzZ84EAIwfPx4dO3bE7NmzERoa+sB9DBs2DF27di17tURU7ayOWo3MnEy81futQsuzs4HTp4HXXjNTYWSwLl2UkHovK5UV5vWdhxd2vIDoxGh4e1aRC4uJyGIY3N2/bds22NjYwM/Pr2CZvb09Jk+ejLCwMMTHxz9wHyKCjIwM6HS6slVLRNVKdl42Pgv7DBM6Tygy+v3kSSAvTwlAZNnyR/jff7Op5zo8hxa1W2DxgcXmKYyIqjSDQ2p0dDTatGkDFxeXQst79OgBAIi5/2t0MR5//HG4ubnB2dkZTz/9NM6fP29kuURUnayNWYvkrGTM7jO7yHMxMYCVlXJNKlm2Ll2AtDTg6tXCy22sbDCnzxxsO7UNZ1PPmqc4IqqyDA6piYmJ8PT0LLI8f1lCQkKJ2zo7O+Oll17CV199hV9++QWzZ8/G33//jd69e+PatWtlKJuIqro8fR6WhC7Bcx2eQ+s6rYs8HxOjjOp3cjJDcWSU/Nbu4toqJnSegAYuDbAkdEnlFkVEVZ7B16RqNBrY2xe964mDg0PB8yUZM2YMxtxzy5iRI0diyJAh6NevHz766CN8/fXXxtRMRJbi0iXg4EGgTh3AwwOoV095ODx4vs/NJzYj7lYcfv33r8U+HxPDrv6qomFDoG5d5TUbObLwc/Y29ni799uYEzgHiwYsQhO3JqXvTATIzARSUoDkZOVnZiYwYgRwX08eEVVvBodUR0dHaLXaIsuzs7MLnjdGnz590KtXL4OmsCLT0Yse62LWIeVOCjxdPOFZyxNetbzg6eIJdwd3qExwg/TwcGDNGuVDq3Hjwo969cp/D/acnBwsWbIEly5dQpMmTdC0adOCR+PGjWFnZ1fuc8jIiMbVq5/B1rY2HByaw8Gh2T8/m8PW1r3c+9fn6XF12VVkxmTCsYUjHFo4wLGlIxxbOsK+oT1U1uV/HU5mZeH9uDi4WFujlaNjwaOloyNcbUwwRfLGjcArrygB4n61ain99Bs3Ak2bFnlaL3osPrAYw9sMR6f6Rfvz9Xol8IwYUf4yqeKpVMoXinunobqXXzc/fLT/Iyw7uAwrhq0ofqW//gJefx24dk0ZNXe/1q2BrVvL/c1FRJCcm4vzGg3OazS48M/Ph2xs8GHz5nC3tS3X/gFAr9VDc0mD7IvZ0FxQfmqvaVH/xfqo+3Tdcu9fRJCTk4Ts7EvIzo5DdvYlaDSXYGXlgGbNFsHOrvzHyMzMxOXLlws94uPjMXz4cIwdO7bc+8/LAxISlEtE7n3o9cDChUCDBuU+BHR6HVLupCAxIxGJmYlIyEhAUmYSHmvyGPo361/+A1CFM/iTytPTs9gu/cTERACAl5eX0Qdv1KgRYmNjH7jejBkzikxVNW7cOIwbN87oY9ZkqXdSMf7n8dh9fjdc7V2Rrk0v9LyDjQPGdRyH1cNXw9ba+DdqvR5YulR5g2nWTFl29SqQk3N3HTc34Mcfyx4+zp07h3HjxuHYsWPo3Lkzdu3ahevXrxc8r1KpMHToUGzZsgW1atUyev8iely79gUuXpwLe/smsLJyQHb2D9Dr7xSsY2tbF61br4SHR9neqDUXNTj9wmmkR6TD9VFXpIelQ3tVC/wz6ERlp4L74+5ov7k9bN3L8DqIYGV8PGZfuIBG9vZ4yNYWO1JTcSsvr2Cd+ra2+LhFC0wq5hKeB8rKAqZPB/z9gRdfBD7/HNBoCrd8JScDX38N+PgAf/5ZJFj8dvY3nEo5he9GfFfsIS5eVLIvW1Krji5dgG3bin/Oxc4Fb/R6A4sPLMbCfgvh4exReIW1a4EpU4CBA5XfrfxW+fyfaWnACy8AvXopv2+vvWb0t908vR7Tz5/HxuvXkXHP4F0vOzu0dHTErhs38NuNG1jfti0G1K5t5NkrMqIzcGrcKWhiNYX+nh2aO8DayRonRp2A58ueaLW8FaydjZ/8V0SPCxdmISHhK+j1d4O8jU0dODg0Q3b2JaSm7kC7dj+idu1BZTqHU6dOYdSoUTh37lzBMmtrazRq1Aju7u7YsGEDdu3ahZUrV5bxPVb5jFiyBLh3DHWtWkpDRnIy8NNPwPr1wJAhZToFxKfH49mtz+JwwmHopPBAbVd7V7yrfhfzH5uPRQMWwcaK9zQyVkBAAAICAgotu337dsUcTAw0a9YssbGxkfT09ELLP/roI1GpVHLt2jVDd1WgW7du0rZt2xKfj4qKEgASFRVl9L6psP2X90vDzxpK3aV1Zfe53SIikpWTJedvnJf9l/fL1hNb5YPgD8T2fVsZvmm43Mm5Y9T+ExJEBg0SUalE5s0TyclRlut0IklJIpGRIjt2iIwcKWJjI7J5s3H16/V68ff3F2dnZ2ndurUcPny44DmNRiNnz56VPXv2yMqVK6VWrVri4+MjaWlpRh0jOztBYmKeFLUacu7cW6LTZRccW6u9LrdvH5Lr1zfL8ePPilptJYmJ64w+h8R1iRLiEiJhzcPk1sFbBc/psnWSdTZLUv9MlatfXpX9D+2XyK6RkpOaY9QxErKzZUhMjECtlumxsXInL6/guRs5OXLo9m3ZmJQkz588KVCr5Stj/26PHRNp107EyUlk7drS101KEuneXcTFRWTPnoLFer1euq/pLgPWDihx059+EgGUXVDVsGGD8pqV9Gd3484NcfnYRebunXt3oV4v8sEHyoZ+fiK5uSUfIDtbZPp0Zd1nnhG5edPg2nJ0Ovn3yZNirVbLOxcvyo7kZDmWkSGZ9/x9xGk00v/IEVGp1TLr/HnJ1ukM3r+IyO2I27Lffb9EdouUhO8TJC0oTTRXNKLX6f85Vb3Er4mXYKdgCW8TLrcjbxu1f70+T06fniRqtUouXFggKSm/SkbGUcnNvbuf7Ox4iY4eJGq1Ss6fnyU6ndaoY0RHR0vdunXlkUcekQ0bNsj+/fvlypUrkvvP66LX62XdunXi4uIirVq1ksjISKP2r9OJTJumvITz5ons2iVy/LjIrbtvhXL9usiwYco6b78tojXuFOTCzQvS/Ivm0ujzRvJVxFfy65lfJeJahFy9fVVy8nJEp9fJ4v2Lxfo9a+nn30/i0+ONOwAVq6LymsEh9dChQ6JSqWTZsmUFy7Kzs6VVq1by6KOPFixLTEyU06dPF/xSi4gkJycX2d8ff/whKpVK3nzzzRKPyZBafjq9Tj7Z/4lYv2ctj/3wmFy7XXoo+fPcn+L4oaM8vvZxSc9OL3Xdgm3+FKlXT6RBA5HAwNLXzc0VefFFESsrkR9+MOwcbt26Jf/+978FgEycOFEyMjJKXT8iIkJq164t3t7ekpKSYtAxUlJ+lwMH6kpoaAO5ceOvUtfV6/PkzJkpolarJD5+tUH7z7mZIyfGnhA11HJqwinJvV3Kh7GIZMRkyIG6BySiU4Rorxv2Lr0jOVnq7N8vDUJD5c/U1Aecg17eiI0VqNXyxdWrD965Xi/yzTciDg4inTqJnD5tUE2SkSHi66t8M1m/XkRE9pzfI1gE2XN+T4mbzZ8v4ulp2CHIMpw8qQQLtbrkdWbtmSW1Pq4laZo05c3Az0/Z6IMPlN8xQ/z8s4i7u0iTJiIHDz5wda1OJ88ePy42QUGyvZjPonvl6fWy5PJlsQ0Kki6RkXIyM9Ogkm6F3pIQ1xCJ6h0lubdK/9vOOpMlkd0iJcgmSOIWx4k+78HnrdPlysmTL/zz5fjHUtfV63Vy+fJSCQqylcjIbpKVddagcwgPDxd3d3fp3r273Lhxo9R1Y2NjpVu3bmJraytLly4VnQGBPjdXZOJEpSFjzZrS19XpRJYtE7G1FenRQ+T8eYNOQU4mnxTPZZ7SakUriUuLK3XdkLgQ8frMS+otrSd/nS/9PZ8ezOwhVUTkueeeE1tbW5k9e7asXr1aevfuLXZ2drJ///6CdSZMmCAqlUouX75csKxVq1by3HPPyZIlS+Sbb74RPz8/sbGxkaZNmxYbYPPV+JB686bIgQPKX/Sbb4pMmSJy5YrBm6dkpYjvRl/BIsi8wHmSqyv9zTNfSFyIuC52lZ7f9pQbd0p+s9JqRd56S/mMGTZM+QZsCJ1OZOpUZbv//a/0dcPCwqRZs2bi6uoqAQEBhh1ARI4ePSr16tWTDh06SGJiYim1ZEts7OuiVkOOHRsuWm3pH2L59HqdnD07TdRqyNWrK0pdN21/mhxsfFD2u++X65sN/E8SkcyTmRLaIFQOtT8k2QnZJa6XrdPJpNOnBWq1jDp+XFIMbHrQ6/Uy6/x5gVotn97z91qs/BasV18VuWNcK7vk5opMnqxs//HHMsC/v3Rf0130pYQSX1/lQVVHbq7yHWb58pLXSUhPEPsP7GXJ7ndFhg8XsbYW8fc3/mBxcSK9eyvbb9tW4mrZOp2MPHZM7IKC5DcDv7CKiBxJT5d2hw6JQ3DwA3sb0oLTJNg5WI70OyK56Ya9x+q0Orkw74KoVWo50v+IZF8r+e9bp9PKiROjJSjIRq5f32rwOaSnH5bw8DYSHOwkCQnfl7pucHCwuLi4SJ8+feTWvc2apdBqtTJr1iwBIE888USp77NarciYMcrLtXGjwacgkZEiLVuK1KqltNSX5nD8YamzpI488tUjkphRci33Ss5MliE/DhHVIpUs/HuhwZ+RIiISFKS0uCxYoJxUdLTx743ViEWE1OzsbJk1a5Z4enqKg4OD9OrVS/bsKdwaMnHiRLGysioUUhcuXCje3t7i7u4udnZ20qxZM5k2bVqpAVWkhobU/fuVfvMGDZQPdUBpdmzdWqR+fZE6dZSmywe4ceeGNF3eVOosqSN/nnvw+veLSoiSukvrSsevOkpCekKx60ydqnzT/ewzJXgaQ68XmTlTOb1PPil+nYsXL4qzs7P4+PjIxYsXjTwDkdOnT4uXl5e0bt1arpQQ7mNj/ytBQXZy7drKUkNTcfR6vZw//7ao1ZDLl5cWu47mqkZCXEPkyGNHRHNFY/Q5ZJ3NktCGoRLeJrzED7JZ58+LXVCQfJ+QUKZzmH/hgkCtlo/jSmh5+Osv5YX68ktjy7/3QCKLFokAsqo7ZMfJ7aWu7uWltKZS1dKjh8iECaWv81bAS3K4sY3onZ1Fdu8u+8FycpRu/7p1RYr5LNHk5cmwo0fFPihIdj2gZ6E4d/Ly5NWzZwVqtfxVQsvizcCbEuwYLNGDoiUvM6/YdUqTFpQmoV6hEvVoVLEtqnl5Gjl2bIQEBdlJSsqvRu8/Ly/zn0sEUOL2e/bsEUdHRxk4cOADe6lK2r5+/frStWvXQj2o+TQa5fuInZ3SCG6s27dFXnhBeQvaWkJGD44Lllof1xKf73xKbVgpjk6vk49DPhar96zkmc3PPPg9VKcT+egj5XO5TRvlzerez+pWrZREXkpor44sIqRWthoXUqOjla+MXbuKvPuuSECAyNGjyl+5iEhKyt2LdRYsKPX6rZd+eUncFrvJpbRLZS7nVPIp8frMS1p+2bLIfvbtU8pYtarMuxe9XuT//k/Zz8KFhXv79Hq9DBo0SJo2bVrkOmhjnD9/Xpo2bSrNmjWTCxcuFHouLW2/qNUquXLl8zLvX6/Xy8WLC0Wthly69H6hNzi9Xi9Hhx2VUK9QyUkz7trSe905f0cONjkoYS3CRBNXOOiG374tVmq1fPKgltAHnMOiS5cEarUsunSp8Jt0errSrTpokOHdsaVYN+0xEUB0P5TcsnP9eukfSGS5/PyUq0FKc2v0CEl1hOzZsrj8B7x+XfniPnZsocVZeXnyREyMOAQHy54HdF2XRq/Xy+CYGGl88KDcvu/9NvXPVAl2CJajQ49K3h3jA2q+WwduiVqlliufF/4inZeXJTExT0pwsIOkphrf0JBPr9fL0aO+EhrqKTk5hS8Y/u2338TOzk58fX3lTjlaASMiIsTKykoWLy78mmZmKm8djo7l+z6i1yvfRzw8RO7/vrErdpc4fOggA9cNlAyt8SE737aT2wSLIBuPldLUm5IiMnSocs3CO++I5F/TnJamXHry3XdK92KDBiJduigJu4ZgSK3uLl1SfrG7dlWCQUl0OpHFi5V+k/79lRFL99l7Ya9gEeTbqG/LXdbFmxelxZctpP2q9pKTpwStzEyRFi1E+vUzvgW1OEuXKqHku+/uLvv2228FQJGW+rK4fPmytGrVSpo3b17wRpyXd0fCw1tLVNSjoteX/QMmX1zch6JWQ65d+7pgWYJ/gqihltSdxrfi3E8Tp5GwFmES1jxMcjOUD0tNXp60O3RIehw+LLkmeCE+iosreo3qa6+JODuLlKEl+35ZOVniuthVYgZ3VIJFCa1b+Q23586V+5BUyb76Srn8OLuk3uvAQBFA3n+ppQzbMMw0B920SfmF+aeZTq/Xy/Bjx8QpOFj2GTG4qiRxGo24hISI35kzBctuR9yWILsgOTbymOiyy/+3F/tGrAQ7BEtWbFbBsuPHn5XgYCe5efPvcu9fo7kqISGucvr0SwXLoqOjxcbGRv71r3+J1tjRScWYPXu22Nvby6lTpwqWjR2rjJsMDi737iUhQbkU+cUX7y6LTY0Vuw/sZGTASNHkGt9Tdb+xP42VukvrSkpWMZeGhIaKNGqktNw/KHEfOybi5qYkdBP831YFDKnVWUqK0m3QsqXhw5mDg5WRJR4eIn/ffRPLysmS5l80lwFrBxjd9VuS6MRosXrPSr4MV7p7Z8xQrj2LjTXJ7kVEeeOpV08Z5Xn16lVxdXWVSZMmmWz/Z8+eFVtbW/nwww9FROT8+bclKMheMjMNHABkgNOnJ8n+/Q9JTs4NyY7Plv3u++XU+FMP3tBAdy7ckSD7ILn4jhIY5164IHZBQXLCwMEdhph29qy4hIRIYna28jsGiKwo/ZpbQ204ukGwCHLpdLjyBj55crHrLVmifLCZ4gsQVa6DB5VfmSNHinlSo1EuW+rfX1ZHfiNW71mZZmS1Xi8yYoTyJf/mTfk1JUWgVsvPD7iczBhfX7smUKtl740botfrJconSiI6RYhOa5pf0rzMPAlrESZHHjsiep1ebtzYK2o1JCnJ8OvwHyQ+/ltRqyE3buwWvV4v/fv3l3bt2klOTtl7ee51584dad26tTz66KOSl5dX8PbxoElAjLF2rbLPP/5Q/j1i0whpuryp0bPRlCQpI0lqf1JbXtxxTxLW60U+/VT59tW3r4ghA01FlGtW7exExo2rEW9mDKnVVWamSK9eStg0dAhjvuvXRQYPVq6D+WdY/dt/vS0OHzpIbKoJE6SI+P3mJ+6fuMuuoBRRqZS/WVO6dk2Z1eitt/Ti6+srnp6eRk8h9SAzZ84UZ2dnOXPmd1GrreTy5RIuhi0jrTZJQkJqSWzsdDk2/JiENgiVnBum+QDId2H+BQl2CJbwEylipVbLRyVdR1pGN3JypPb+/TLlxAnl2qo+fUz2Bjt4/WDp599P+cfXXyufNvcMusz3738rh6WqJzNT6Qn9vrirOd57T7mI/dQpSdOkicOHDvLJfhP9DV67JuLmJtpJk6RVeLg8ERNjsi/pIiI6vV4GRkdL04MHJe5HpYfk5r7yt9LeKy0oTdRQy5UVlyQioqNERfUx6Tno9XqJiRksBw82li1b1gsA+dOA8Q3G2L9/v6hUKvnssy/E21u5RtmU+UyvV3rbGzUS2X50t2AR5KeTP5nuACLiH+0vWIS7YzkWLlTeq2bPvju3oqF++kn5g5g506Q1WiKG1OooN1fkqaeU7tR75v00Sl6e0u3furUcvnBArN6zMt0b/z2SM5PFbbGbuL/4qvToUfp0hmX1/vsi1tZ5ArSSX381fpDAg6SlpUndunXF19dNDh/uLjpjRnIa6PLlT0S9z1rUTdZKyi+GjyY2VG56rhxoECpLh4RIt8hIk3Tz32/F1aui2rdPotu1E7mni7M8Lt+6LKpFKvnhyD/zjul0ypezDh2KvPG3bavMpUhV08MPK5NBFBIbK2JvX2g03Lht46TtyramC2LffSefjx4tVvv2yfEyDAB6kIt37kjtPUGy0zNEjo86bvL9i4icnXZWgp6dKWo15PZt4+YgNcSdO5dkzx4nadSolvhW0PQZ06dPF1vbVwRQeshN7fJlEWfXHHFf0E76+/c3aZAX+ec65PWDpenyppJ15JDSgrpoUdl3+L//KSH3nuk7qyOG1OpGrxeZNEn5A/irnHO0nT4teltb+ca3vnT5pkvBtaOmNvidzwXvWsm2A0crZP8XLyaKldUVadiwjIHdAB98MFQASFCQ6brR7nUn/paoAzwldF2/Ctm/iMiqT46KGmqJCqyY0aM5YWHSdu1aGfDrryb7APgg+ANx/si58MCG6GilF2DJkoJF+S1x916fTJWs0VkAACAASURBVFXL2LEijz12zwK9Xunxad5cJOvuNZf58+WGXQ0zyXFTtFpx+/NPeWXhwgobsLJl1jHZY6OWvw9XzN+eJi1F1L+5y4HlIwpuAmBqc+c+LdbWkPBw/wrZf3x8hlhZpYiHx16D5k8tizHLvhS8ayVrfouukP1fuHlBnN53kIvtPZVvzSVeZG2g+fOVoPqgebSqsIrKa1YVcx8reqDPPwd++EG5teSTT5ZvX23b4uDzj+Glv67jx3YLy3RL0weJjgb2fTINda1aY9X5NyEiJt2/iOCtt16Ds/P7iI/vhr17Tbp7AEBGRhQefXQPHn64PubP/1+FnMOFaVdhvXEacpqE4MaN3SbdPwBEZWTgze43kdnBDrIgHqI37TlAq4Xt5Mn4bO9eBLm64tfU1HLvUkSwNmYtRrcfDRc7l7tPdOkCvPEGsGgREBcHADh+XJnLhbdDrbq8vYGYGOU2yQCAzZuBwEBg5UrAyalgvYHNB6KRayOsjVlrkuMuiouDODri/e+/B+bONck+76VN0KLBqjREjrPH5Nw4ZN5zm2FTuZb6CaxccpH74X+QsLrobcjLKzExEStX/o3nnmsIkfeRl5dp8mN8+aULbG1rIzn5JaxZs8bk+0+9k4q9ef+HBolT8MmbXZCVZfJDoEXtFvg5azian0rEqff/C9jbl2+HH34ITJwIvPQSEBlpkhprDJNGXhOrti2pt2+L1K5tsj7Ns6lnxfVdO0nxcle6/k3c/ZGTo8ym8cgjIr+e2iVYBNlxaodJj7F161YBIFu2bJW+fZVeYFNeUqDTaSUiopNERHSWvXv/EgCyadMm0x1ARJICkkQNtST9lCRHjvSXQ4faiU5nulZtrU4nHSMixDsyUlL23VCOtcHE9w195x0RW1vRHz0qT8bESMuwMKNvD3m/kLgQwSJI0KWgok+mpysXmA0fLqLXy9dfKxNXaMo/UJfMZPdupdHo/HlRpuapX19k9Ohi113w9wJxW+xW7oEvJzMzxTr/phT53atBxfy+lcPpiaflQN0Dci4hXZyCg2XaWcPu5GSorKxYCQqylbi4D+WM3xkJdg6WO5dMOzn8pEmT5KGHHpJr1w5LcLCjxMb+16T7P39eGSu0aJHIyy+/LC4uLoXmTDeFV3e+Km6L3ST8WLI4OCgDeU0uKUn07u7ya+860vGrjqLNM8EI/Zwc5YNt6NDy78sCsbu/Olm8WPlLNva+6cXQ6XXS37+/tPiyhWj+/F15cy7LHVxKsXSp0iubf5tm342+0vyL5iaZ8kNEJCMjQ+rVqyf/+te/RK/Xy+HDSpfvypUm2b2IiFy+/KkEBdlIeroy7Pjpp5+Wxo0bS9Y93Y/lkZeVJwc8DsiJ0SdERCQ9/Yio1Sq5evUBt9QywvIrV8QmKEhi/rne7vi/jsvBRgclL6v8U2iJiDLLhKOjclNtETmRmSlWarUsM+IuZ8WZ9Mskaf5Fc9HpSwi7O3YUTCE0daryZYiqrqQk5eXctk2UKcxcXEp8r4tNjRUsgmw6Vr4vjEOPHr37hSr/emcTjr5LP5wuaqjl2tfKeay4elWgVhf8LZrCsWNPy8GDTSQv747k3s6Vg40PmvTa16ioKFGpVLLynzfWK1c+F7VaJenppvt8HTVKpHFj5aqOW7duScOGDWXkyJEm2//RpKNi9Z6VfH5Qmdv600+Vz4pIU1+++//svXd0FFea9/+tTmplqYMSiJzB5GTABBOFmpaRLYGEbRywDR6P45nxvrvvOzszOzuzO/MzzsY5gBFIwoAyBoHIIHIQSSIqq5Ny6nR/f1y1UOhQ1V2ysd2fczic03X73i51V9Vzn/B9kpMJUSjIpSsFRPgXIfnrwb/yM69NLu3UKX7me4DwGqm/FpqaqM7a+vW8TJd1I6t7H/Qnn6QalBxaADqjtZUKD7z00v3XrmuvE9FfReTvh//Oyxrvv/8+EQqF3Xbczz5LiExGiAc63J1YLO3k2LEocu3afcmjkpISIhaLyV/+8hfPFyCElG8qJwWCAtJy677n49q15zslqTzFZLGQAcePk6e6aBC23GwhByUHyZ2/3PF4fkII7Z8ulXbr3rPhxg0SfPgw0bip9dfU3kQC/h5A/nLQyd/ZaqWe1P79ybwpjeSpp9xayssDRGQkIZ88U0gtiPfeczp2ztdzyJItS9xeK1enIygoIDu7Sk7t2kWNgZMn3Z7XhtVqJefmnCOnxp0iFhPdaBktFhJ9/Dh5+io/EnMGQz4pKACpqdne+Vrll5WkgCkgzTc830hbrVbyyCOPkLFjx3Z2hbJazeTEicHkypXVHs9PCFVCBKgdZmPzZqoiUFRU5PH8VquVLPh2ARn54chOz6bZTAv1Hn/c4+nvs3dvN+2sP+79I/H9my/nTlZ2MZup3CSPhvuDgtdI/bXwzju0WOrOHV6mW/jdQjLjixn3X6ipoakEzzzDy/xffUWfMz0jW2/seYP4/7e/xzqHZrOZDB48mCQlJXV7vaqKOmBe5SEaVVW1mRQUgDQ1Xen2+h/+8Afi5+dHytjq3jnAarGSkyNOksuPd/d6tLVVkcOHA0hx8WsezU8IIduqq+16bm7+4SY55HeItJZ56NVua6Nh2a67EUKIpr2dBB8+TDa4Gdr87sJ3VBvVVeezO3eIVSwmfxS9Q955x62lvDxAxMQQclq5jJBx41zm7Xx59kvC/JkhZfXcr0OjxUJGFxaS+efPdy/yM5uphFpiIuc5e1KTXkMKUED0e7sbKf9faSkRHzxIKjwsqrFazeTUqYfI2bOzup2DuZVGZ26s9zytwJZO1bM5SlnZ+6SgQEhaWz0LyZtMNAIya1b3bLP29nYSFRVFnnegicyFnVd3EvwZJKc4p9vrn35KI309Ggq6R0sL1SufP7/zRGqaaojPf/mQfxzhoUMaIffFXi9c4Ge+BwSvkfproKWFCk4/+6zrsSy4WH2R4M8g2y73qFT/4gt6ERQUeDS/1UpTaOxt+mpba4ninwry9K6nPVpjx44dBAA5bSdeY2us5Ymzwmq1klOnJpCLF3t3t6mrqyNKpZKsWbPG/QUIIdoMLSlAAak7Xtfr2N27/yAHD4o8ahpgtVrJ1DNnyCI7NzVTnYkcVR71vGnA11/T34wdyal3SkuJoKDALVmf+d/OJwu+XcBqbG3c0+QuBpCCfX2gb+blJ+XddUX097R5s8ux9W31xPdvvuS/D/8353U+LCsjTEEBOW+vS9/HH1PrxQOHgLnVTE4MOkEuqS71OlZvMpGgw4fJv3loHVVUfNYhOdU7BHznL3fIId9DpF3rfk5kS0sLGThwIFGpVL2OmUyN5MiREFJS8pbb8xNyX/bYXhT7H//4B/Hx8SHVbBvV2KHV1EoGvzfYbpey5mYaPHzNc18AbTcukfS6Dz63+znS751+/CjnGI1U6SIhwfO5HiC8RuqvgY8+ojdNnvo9Prf7OdJ/Y//eF47FQvOxRozwSDrDVgDhqP7gw8IPieAvAnKvzv1d+KxZs8jcufblmlpbadv4pz2wg21hNIMh3+7xTz/9lAAgNzwogjg39xw5+7D936jZ3EpOnBjkUUjtUG0tQUEByXPQRrTi0wpSgALSVORm5ymrlXq87DzECKEFW8NOniRxl3o/qJ1x23Cb4M8gmy+4NlQIISTn7xcIAUjjl9tdD/byQHPr0edJOaKIppydcfXUzqfI8A+Gc5I8azGbieLoUfL8NQcbwKYmGlXyoLKm7MMyclB0kDRftx9yf6ukhIQcOUIa3azytFiM5NixSHL1qv0cl3ZNOzkkPUTu/Ncdt+YnhJBNmzYRgUDg8B538+bb5PDhIGIyuSfbZTbTPFRHe32DwUD8/PzIn/70J7fmJ4SQb89/S/BnkCuaK3aP/9//SyNvHvV/uXKFNpv4z//sdehS9SX7DiF3+fxzGqLkKV3kQcBrpP7SaW93fiVzxBaCcCjcX1RE3ZAetLRcsoSQyZMdiwU0tjeSwL8Hkv/Y/x9uzX/ixAkCwKlw/z/+QTXAHdhnLrl4MYacOjXe4cOvtbWVyGQy8qabHUHqT9eTAhQQzQ7HLRhLS98hBw+KSXu7e54E9aVLZGxhocNzsLRbyNGwo6T4FTe7jP34o0vP+6cVFURQUEDucSi7/8+C/ySBfw8kTe3sjOc//IGQIz4LaZsanhUqvPyEVFcTi1hC3sY/SI/oskP2395P8GeQo/eOsl7m26oqgoICUuKs+PHf/52QwEDab5kjVquVFI4uJEWJjvMp77W2EmFBAfnAzZShmpp0UlAA0tjoeAN4/aXr5Gj4UWJu5V4gabVayfjx40lcXJzDMW1t5eTgQREpLd3IeX5CCMnIoLcPZ/1oXnnlFaJQKEhLi3tqBTO+mOE0b7mqijpA//lPt6anrFhB2/Y6uMf1Sq3zhLY2qmrCkz3wIODVSf2l8913QHk58B//wct0n535DAJGgBemvGB/wNixwBNPAB9+2EWwkD1FRcDevcCbbwIMY39MgCQAayesxRfnvoDRYuS8xsaNGzF8+HCoVCqHY557jn78b7/lPD2am6/CYMhDdPRbYBychFQqxbPPPotvvvkGra2tnNco31gO6RApFI8pHI6JiHgGDCNEVdXXnOe/0dKCTL0eb0ZHOzwHgUSAyOcjUb25GuYmN7QbN26k4pbz5jkcsiYsDP5CIT6vZKfdaCVWfHfxOySOTYS/xJ/Vey5cAPZPfIvqCB47xuo9Xh5APvkEjESMrf4v4cIFdm+ZP2g+BgYP5KSZuqmiAktCQzGsi/ZqL373O6CtDfjyS9bz2qg7VIeWay2IWh/lcMwAqRSJYWF4r7wcFjd0lysrNyEoaDYCAh5yOCb6jWiYakzQpGg4z3/ixAlcunQJGzZscDjGx6cfwsJWo7z8fVit3O8fmzYB06YBU6Y4HvPaa69Br9djy5YtnOc/W3kWhRWFeHnqyw7HREQAycnABx8AJhPnJYBbt4DsbODttwGp1O6Q12e+jsKKQpwoO+HGAj3w8aFrbdsGlJR4Pt+vGV5NXp751XhSec5BaTO1kfB/hZP1WS4UAo4do1vc3FzOazz3HCH9+rluVVxUU+RWGOT27dtEIBCQTz75xOXYpCSay85VrvP69XXk2LFIYrE4DzmWlJQQAOTbjmpOtrTeayUFwgJS9oFrL8rVq2vJ8eMDidXKzRvy0vXrJPzoUZdapS13WkgBU0AqPudYyHb5MutOKC/fuEHCjx4lRhZfRMGdAoI/gxy5d4TVx7BaqejFn/9kIWT0aKpl4+WXR0sL/SJ//3syeza9dtnypwN/IoF/DyTNRtfV7OcaGggKCsgujeMIRidr19IoFse+60WJRaRwlOMIho0zHZ9lB5vP0oXm5uukoACkutr1tXdpxSVSONb1Z+nJk08+SYYOHeqy81NDw/kOdYFUTvPfvElvH19/7XrsypUryahRozh3oXo+43kSvTGamFy0sb50qbe6AGveeIPKyTjx9FqsFjLsg2EkMd3zYjxCyP0aleee42e+nxlvuP+XDM/VfLaK6WtaF8U4ViuN13MUD7aFTrp0q3TKvG/mkbnfcGsD+vrrrxOZTEaamlyHgo8coX8+Lt1j29urycGDPuTuXXYyWUuWLCHTp09nvwAhpOStEnIk5AgxNbrOR6uvP0kKCkB0umzW82va24n00CHyt7t3WY2/GHuRnJ50mtuDjO1uhBByubGRoKCApNXUuBy7Pms9GfTeINafpbycfsc7dxJa+McwtN+7l18Wn35Kv7tbt8jvfkc7SrKlRF9C8GeQH67+4HLsC9evk/7HjxMTG4PnAs11JtvYb6TbqtrIQdFBUvYeuzD+vHPnyMMcn1MlJa+To0cVxGJxXTdQe7CWFKCA6PLY5z1pNBoikUjIv/71L1bjz59/lJw5M53T/eMPf6Bpv2zkpo8cOUIAkJycHNeDO6htrSW+f/Ml/3Xov1iNX7yYkKlTOWYLNTYSEhREyNtvuxz6YeGHRPgXoUd1GN3gWe3n58Qb7v+lYrEAf/87oFYDEyZ4PB0hBO+dfA8xw2IwSjHK+WCGAV59FdizByguZr3GJ58AYjHwgoNMgp5smLoBh+8dRpGmiNX4+vp6fPnll1i/fj38/V2HgmfPBsaNo2EltlRUbALDCBEV9RKr8Rs2bMCpU6dw7tw5VuPNDWZUfVGFqPVREAWIXI4PDJyOgIBJqKhgfxKbKivBAFgf5Tjc2JV+G/qh6XwTGk83sluguhr4/nv6GxG7bqU7LiAAc4KDsclFyN9itWDX9V14fPTjDlMUenL+PP1/0iQATz4JKJXAe++xeq+XBwSrlaaOrFwJDBmCiRPpbaelhd3bh8mGYXz4eOy8ttPpuHqzGSk1NXghMhIiAYtH2IQJwKJFwDvv0J67LKj+qhqMmEH42nBW49+KjsaJhgacqK9nNd5iaUF19beIiHgOAoHrlpvBc4MRMCUA5RvLWc0PAN988w0YhsGzzz7Lanx09JtobDyF+np2qTZtbbSz9zPPdOt265DZs2dj+vTpeOedd1jNDwDfXfgOJqsJ6yavYzX+zTeBM2eAo0dZLwFs2QI0NQFOUiJsPDPxGQRIAvDRqY84LOCEl14CQkKA//1ffub7FeI1UvuatDR6p/5//4+X6Y6UHsH56vN4febr7N6wahWgUNC+2SxobaVG6nPPAaGh7JZYOXolwv3D8emZT1mN/+KLL9De3o5XXnmF1XiGAV5+GcjMBMrKXI+3WFpRWfkxIiKehVgsY7WGSqVC//79sYmlJVz1ZRWsrVb0+30/VuMZhkFU1AYYDLlobb3rcnybxYKPKyrwbEQE5CwMSACQLZPBZ6APKjex7PnNdTcCYENUFArq6nDdScPsk+UnUdNcg/jR8aznPX+e/t4GDgTNCfvd74BvvgEMBtZzePmZyc2l97q33gJANxxWK3DpEvsp4kfFI6s4y2mO+/c1NWizWrEuMpL9xBysF2IhqPy8EmFJYRCHsLv2YuVyjPT1xTtsblAANJpUmM31rDfRDMMg+q1o1O6rRdOlJpfjrVYrPvvsMyQmJkIul7NaQyaLgZ/fKJSXb2Q1Pj0d0OuB9etZDQfDMHjzzTdx4MABXGCRrEwIwaYzmxA/Oh4RARGs1li6FBgzhu6VWEEIrdt47LGOm49zAiQBeGHyC/ji3BdoMrr+Hlzi70+vl6+/BioqPJ/vV4jXSO1r3n8fWLIEmDqVl+neO/keRitGY/GQxezeIJXS3dq33wINDS6Hb9lC7YLXXmP/mSRCCV6Y/AI2X9yMxnbnXjyTyYQPPvgAycnJiOTwkHnySbpb/+IL12NrarbAZNKjf3+WhjwAkUiEF154ASkpKah34Q2xmq0of78cYUlh8Ily7QWxER6eDKEwEFVVn7sc+31NDbQmE97o35/1/IyQQdRLUdBs18BkcFE90NJCjdTnn2e/GwHwuFIJpViMT514U3de24mIgAjM7D+T9bznzwMTJ3Yp0tuwgT5APmW38fHyAPDOO8DMmcCsWQBo9EMkuu8lZ0P86Hg0tDfgwJ0Ddo8TQrCpogJxCgWifNhfe1i2jFovLLx4+jw92kvbEbWBXQQDAAQMgzeio7FLp8NtFgWYlZWbIJMtha/vENZrKJ9QwifaB2UbXRvCe/fuxe3bt50WTPWEYQTo3/9N6HS70dJy0+X4TZuog3rECNZL4PHHH8eAAQOwkYUVWXC3ADf0N5wWTPWEYYA33gAyMoCbrk8B2L8fuHYN+P3vWa/xyvRX0NDegM0XN7N+j1N+9zvA15dbqPA3hNdI7Uvu3AEKC2k8hAdu197G7uu78frM11mHUQHQrW5LC1UYcELXaN3Qodw+24tTXkSzqRlbL291Om7Hjh0oKyvDm2++yWn+wEBqqH7xhfPqTUKsKCvbCIUiDn5+wzitsW7dOrS3t2PzZuc3H+0OLdpL2xH9ZjSn+YVCf0REPI2qqq9gtTr2FFkJwcbycsQpFM4rl+0Q+VwkiIWgenO184FbtgC1tdx2IwB8BAI8FxGB72pq0GKx9DpOCMHO6zvx2MjHIGDY317On+8I9dtQKoGnn6ZejvZ2Tp/Ry8/AuXPAwYOdXlSAFjCPGcPNSB0XNg7DZMMchvyP1tfjSksLNrBMgenEZr1kZrqspq7cVInAqYEImhrEaYmnw8MhE4vxXrnzkHxj41k0Np5GVBR7AxIABGIB+r/WH5oUDdornV8TmzZtwoQJEzBzJvuNIgCEhz8JsViB8nLnqTYXLgAnTrCKkHdDJBLhtddew7Zt21DhwnP4yelPMEY5BnMHzuW0xpNP0uAhq2yhDz4AHnrIqbJJTwaGDET86Hi8X/g+rIS7ck4vAgOBxx8Htm9nnY7yW8JrpPYlaWl0h7RiBS/TfVj4IWS+Mjw1/ilub+zfn14EH33kVI4qLw+4cYNGxrgSHRyNFSNWYNOZTSAOLjRCCDZu3IhFixZh/PjxnNfYsIGmUe7e7XiMwZCH1tYb6N//LceDHBAVFYWVK1di0ybn51D+TjlCFoYgYEKAG2ush8mkgVbrOO9uj8GAay0teIuDF9WGJFwCRbwClZ9WOjwHEAK8+25n7iBXXoyKQr3ZjFRNb0mcC9UXcLfuLqdQf20tcPduDyMVoEZFdTW9eXt5sNm4ERg0iIZNuzBpEjcjlWEYrBy1Eruv74bF2nsTtKmyEsN9ffEoB+9/J7Zc5/ffdzik9U4rDHkGp7JTjvAVCvFyVBS+qqqCwclOuqJiE3x8oiGXx3JeI3JdJARSASo+cmzglZaWIjs7Gy+//DI3ZwYAodAXUVEvo7r6G5hMjlNtNm0CoqJoqQVX1q1bB19fX3z88ccOx1Q2VmL39d3YMHUD53NgnS10+zaVnfr97x3rLDrgjZlvoFhfjLySPE7vc8jq1VQGi2VNxG8Jr5Hal6SmAioVEMDdmOlJQ3sDvjr/FV6a8hJ8xb7cJ/j972m+2N69Dod88AHVu+uI1nFmw9QNuFRzCcfLjts9XlhYiDNnzuCNN95wa/7x42kRlbOoSEXFxwgMnIrg4NlurbFhwwZcu3YNhw4dsnu86VwTGs80IvoNbl5UG/7+YxEcPBeVlY5P4vPKSkwOCMDs4GC31ui3oR9ab7SirqDO/oCTJ+lu5GX2YbSuDPH1xVKZzG4B1c5rOxEiDcH8QfNZz2dLT+tlpI4aBcTGcip48fIzUF5O73Wvv07j+12YNAm4fJmbdmX86HhoW7Q4Vta9gEdjNGKHVov1UVEQcDQqAFDr5fnngZQUwGg/klH1eRWEQUKErQ7jPj+Al/v1g5EQbLOzgQMAk6kOGk0KIiNfBMMIOc8vChYh4rkImhNvsu9w+Pzzz+Hv74/k5GTO8wNAv34vgxAzqqvtR94aGoCtW4EXX+z1dbMiKCgIL7zwAj777DO0O4iSfHH2C0hFUu4OmQ42bKA1y1995WTQxx/ToqU1azjP/3D/hzEtahreK+SpuHPBArqBSk3lZ75fEV4jta8oLqYuhFWreJlue9F2NJua8fI09wwLzJ5Nnxgffmj3cFUVkJ9Pbzzu3P8BYPHQxRgaOhSfnPnE7vHvv/8eUVFRWLp0qXsLgNpVBQU0jagnRqMGBsNeREQ8y3n3bWPBggUYOXKkwwKqmpQaiMPECF3qhieng6ioDaivP4zm5iu9jhlMJuQaDHg6IsLtcwieGwy/MX6OC6hSUoB+/TiFuHqyISoKpxsbcbaxew7yruu7oB6phljIruAEoJeJVAqMHGnn4FtvUStn/363P6uXPuajj2gByHPP9To0aRLN1rh+nf100/tNR1RgVK+Q/9dVVRAAeCaCXRGNXdasoa77PXt6HbIaraj6qgoRayMg9OduQAJAuESCpaGh2FpTY/d4Tc1mEGJCZCS7anV7RKyNgElrQu3+2l7HjEYjvvzySzz99NMIcNM5IpGEQS6PRU2N/dStLVtoZT+HestePPfcczAYDNhj53swWUz4/NzneHL8kwiWurdRDwujTv3vv3cwoKmJWrDr1rGTJugBwzB4dcaryL+dj1uGW259xm6IRDTamZrq3ZD3wGuk9hWpqdSDunw5L9NtK9qGhYMXol8Qu2ryXjAM9abm5trNyUpNvX+duIuAEWD91PXYcXUHNM3dPQkmkwlpaWlISkqCUOjeAwCgn0+ptF9Po9Wmg2EYKJWJbs/PMAzWr1+PnTt3orq6e14nsRBotmkQtjoMApH7l45SGQ+xOAyVlb1PYodWCwshWKVUuj0/wzCIWh8F3W4d2qt6eCpMJvplr14NePA9xMrliPbxwaYueWU3dDdwRXsF8aPYh/oBaqSOH+/AKzN/Pk1sdOoS8fKzYTbTosy1a2luXQ8mTqT/cwn5CxgBVo5aiZ3XdnamrFgIwWdVVVgVFgYZS7ULu4wdS39sW3sbYNqdWpi0JrdC/V1ZEx6OEw0NvQqoCCGorPwUCsVK+Pi4b2gHTAyA32g/aLb29tbu3r0bNTU1nAqm7BEevgZNTWfR0nKj2+uE0HrLxx6j4X53GTt2LCZMmICUlJRex7KKs1DZWIkNUz07h+RkqixRZE8Z8fvvgcZGt6NJALBy1Er4if2wvYindKRVq4DSUhrp8tKJ10jtK1JTgbg4mpPqIZWNlTh09xCSxiV5NlFSEs0ot5MLtHUrtafdSfXqyrMTnwUDBl+f794CND8/H1qt1u0QlA0fH+qw+e47oKcKUk3NVoSGLoFE4rhFKRvWrl0LsViMr3oYRnUH62CsMiI8mZ12oiMEAgkiI9ehunozzObuMiYpNTVYFBqKCC6Vy3aIeDoCjIRB1VdV3Q/s3w9otW6FuLoiZBi8GBmJFI0GdR2x3F3Xd8FP7IclQ5dwmqtX0VRXGIYWHu7eDdQ5SF/w8vPx449ATY3D4tCgIFqEycVIBWjIv6yhDGerztJlDAbcbWvjXjBljzVraAFVD7WTyk2VCJkfAv/R7Nr4ZV89ggAAIABJREFUOkKtUMBfIEBKD29qXd0htLRcQ1SU+4YRQDehYclh0O7SwtLcPW9306ZNeOSRRzB27FiP1pDJYiEUBqGmprsReeQIcPUq94IpeyQnJyMzMxMNPb6HT05/glnRszAhwjNd8WXL6POslx1sk51Sq2ketZv4S/wRNzIO26/wZKQ+8ggQGekN+ffAa6T2BUVFwJUrvIX6066kQSwUY+XolZ5NJJXSeP7XX9NdZAfFxVRC0EP7EQAg95Nj9bjV+PTMp90KH1JSUjBq1ChMcmiNsOell+jzZdu2+6+1tt5GQ8MJhId7ZnwBQGhoKJKSkvDZZ5/B0qWCvWZrDaRDpQic3ttjxJWoqBdhsTRCo7l/EmVtbThUX4/kcM+MYIDmroUnh6Pq8yoQS5fw0datwOjR911cHrAuMhImQrC542G889pOLB++nFPOdGsrDQU7/Vk8+STNIUxL8/ATe+Gd776jnkknvyeuxVMAMHfgXMh8Zdh1bRcAWjA1MSAAM4K4VdzbJSmJ5iB0qcBsvtKM+sP1nGSnHOEvFGKlUomtGk234sXKyk3w8xuNkBD302xshCeHw9pshS5T1/natWvXcPDgQbzsgXfQhlAohVL5OGpqtnY7h02baFrOo496vASSkpLQ3t6O3V2+h2J9Mfbf2e+xFxUAJBIgIYEaqd0i6AcOUEv71Vc9XmP1uNUo0hSxbmTjFKGQfuD0dKcFzr81vEZqX5CaCgQHU31UHthWtA0xw2IQIg3xfLING6gc1ZYtnS+lpNBInUrl+fQAsG7yOtyrv9dZ+NDc3Ixdu3ZhzZo1budZdmXwYPqn7aoUpdFsg0DgB4UizuP5AeCll15CWVkZDhygeo2WNgu0P2gRviacl3OQSgdCJluOqqr73tptGg2kAgFWKjzzBNuI2hCF9rJ2GH7sKHFtbgZ27aK7ER7OIcLHBysVCnxRVYXS+lKcrjyNlaO4baQuX6YFDk6N1MhI+oW7kFDz8hNjMFBByrVrnf6eJk2ixXFcUu1EAhHiRsZh5/WdqGxvR65ej/VRUbxce4iOBubO7Rbyr/qqCuIwMRSP8XPtJYeF4XpLCy400UiJyWSATrero2DK83PwHeKLoIeDULP1vrf222+/hUKhQHw8t3QbR4SHr0Fb2y00Np4GQB0Du3bRNE5+voZozJ07F1u7fA/fX/oewT7BeGLME54vAOo0v3cPON61lvfjj6mI7/z5Hs+/dOhShEhDsO3yNteD2bBqFVBZybFl1q8br5HKN4RQI3XlShqb9pBbhls4VXHK81C/jf79aRyk48ZACDVS4+N5yUwAAMyKnoV+gf2QfiUdAJCZmYnm5mYkJfF0DqDX8tGj9HomhKCmZisUiscgFHoWqrMxbdo0DBkyBOnp9BwMOQZYGiweh/q7Eh6ejMbGQrS13QMAbK2pgVouR5A7JbN2CJgUAL9RftCkdeSuZWVRQ5UPl3kHT4WHo6i5GZ9ezYNYIEbscG6yOufPUwfCQw+5GPjMM/RJ40Lj0stPSGoq3WG4SB2ZNAmor6ey0VyIHx2P67rr+OhOEYQM41Gedi+Sk2mlaHU1iJVAk6ZB2KowCCT8PBIXh4ZCKRZ3FlDpdLtBiBlhYat5mR8AwteEo/bHWhh1RhBCkJ6ejscffxwSiYSX+UNC5kMiiewsoMrKog5ongKEAGjIPz8/H9XV1fQcrqbjsVGPQSqS8jL/nDl0T9IZ8q+tpbJTzz/Pi6XtI/LB46Mfx/Yr2x1L/nFh5kz6gb2ye514jVS+uXCBPkhX83MzSr2SCn+xP1QjeHJzAvSzHT8OlJbizBn6cT1MUeyGgBEgYUwCdlzbAYvVgpSUFMycORNDuXYIcMJjj9FCmx9+AJqaLqCl5RovoX4bDMMgISEBO3fuhMlkQs3WGgRMCYDfSO6VoI6Qy1eAYXyg1e5AUVMTLjU3Yw0PoX4bDMNAmaiEbrcOVqOVbkxmznRLG9URS2QyBAmFSKmuxKIhizhX454/T5WmXG6Q4uJodMLrTX1w+O47ICYGcPGbtXnJuYb8Fw1ZhABJALZWV2BJaChCPCmY6skTT9DdUWoqGk42wFhhhDKBPyNYJBBgVVgYtmk0sBACrTYdwcFzPSqY6okyUQlCCLTpWpw9exZ37txBQkICb/MzjBBhYauh0WyH1WpGWhrw8MPUhuKLJ554AkKhEGlpaSjSFOG67joSx7pf+NoTgYBmd6Sldcig7d5Ni/14/DsljUvC7drbOF152vPJBAK6C9ixg35OL14jlXe2bwfkcn6SdkBD/eqRavhL+PEQAqAJ4z4+QFoaUlLoM2bBAv6mB4DEsYmobqpG9uVs7NmzB2v4tIJBE+IXL6bpOxpNCsRiBUJDWbaKZUliYiL0ej32Ze6DPkeP8DX8GZAAIBIFQi6PgUaThq0aDUJFIiyTyXhdQ5mghKXegtod96jsDs/fg49AgKUhAbgnGcxJwN+G06Kprkil9Oa9ZYs3X+tB4Pp12k1v7VqXQyMi6D+uRqpUJMWCkYkoRRASw9zTLXWITEYrRVNSoEnTQBIpQfBs9+SOHLEmLAyVRiMO6e6gtjYfYWH8GV8AIFFKIFsiQ83WGqSlpUGpVGKeB7Jy9ggPXwOTSYPS0sPYswdI5PcUIJPJsHz5cmzduhVpV9IQIg3BoiGLeF0jORnQ6YB9+0C9/488QiX4eGL+oPkI9w/nN+Sv1dIObl68RiqvEEK3bI8/DvCw67clZPMW6rcRFATExoKkpmL7dupY5SnC3MmM/jMQHRSNjT9uBCEEiXzf3UA3w0ePEhQVFUCpXAWBgEdPC4BJkyZhyJAh2Pr+VhATcVvg2xlKZQIaG09hb/UFJCiVkAj4vST9x/pTuZoPL9HfZx98DxEt1wH/QRgxgFsOttlMJWJY19I98wyVaPHevH9+vvuO7hRZdtNzp3gKAGTRjwFWIyaKml0P5kpyMsip09Bur4LyCSUYAQ+Jll2YERSEoVIpTpZtAyEWKBT85Ip2JXxNOOqP1SNtWxri4+Mh4vlGHhAwGb6+I5GaWgKjkTqg+SY5ORmnTp3C1gtb8dioxyAR8pOuYGP8eKo8lvmVlqZ48BTltCEUCJE4NhGpV1LtdknjzJQpNNrlrfIH4DVS+eXUKdrfkaeLYNvlbQiVhmLpMPfF7x2yahWYM2fgV32LzxTFTgSMAE+MeQIn6k5g0eJFCOPbEwIaARaJCPLzZyE8nP+TYBgGiYmJyDmRA//5/vCJ9DzHuCdy+QqA8cEw4z5eQ/02GIaBMkEJ3WkJrAuXUZVrnim+tQ1CaxsONHK7Qd+4QUXBWRupM2cCw4dTXU4vPx8WC/Vor17NOu/eXSP1uiACgrpz2F+Syf3NrlixAg1+U2GssUKZyGO+awcMwyA5PBzShkwE8RzqtyGPk6PYpxj3yu/1iSOAYRiEhycjMzMaDz9sgRudml2yYsUK+A3xw53GO0gc0xfnQL2p4qwO3V1PxMAdkDQuCVVNVTh877DnkzEMvbZ++MFhZ7TfEl4jlU+2b6dxrblzPZ6KEILtV7bj8dGP876zBADExqJd5IeXZamYNo3/6QHgEdkjMPmYMCV+Sp/MHxoKzJp1GUeOPIWgoIf7ZI24eXGoN9fj5qSbfTK/SBSIcp+5WMIcxhw326C6ImyOGRaLL2ofeob3uevb6lFw+0dMFrcgTavlVDxgM1pYq2ExDA0v//BDNwk1Lz8xBw4AFRUOtVHtMWkS7WrnoBGTXcra2lDY2IzxglrsvL7T9Ru44usLzcBnIBHWIvhhHqSt7JAkE2E8zqLSL6ZP5hcFiFA4pBChwlA88sgjfbKGRPIkTp9eiOXLL/bJ/L6+vhiqHgpBuwCPDuYnTa4nSUlAvGk7qscs7JON+sz+MzEweCC/wv61tdTz+xvHa6TyhdVKEyRtCfkecrryNG7X3sbqcfyGJmy0CvyRBTXWiFN5kROxx/X862DqGdQoOTyZOGC1tmP27E24eHEaKiv75iQiL0ciClHYp93XJ/MbrVakG2dhKLmK9o4qf77xP/sD/JhSaCrt9R31jNySXBgtRmwYOAbXWlpwpWeHBSecP0+1tDk1kHjqKSqu+sMPnD+rF5749lta7cZhd+tO8dQPWi0kDIN1A0bjWOkxVDdVu34TB4iVQKsdDaXlAJjz53id20ZIy14IQLC9fUafzE8IQb4+H49YHkH71XbXb3CD/PwhMJl8MGPGR30yPyEEhggDrFesKLrIg96oHQZLqzAPh5DG8ChN0AWGYbB63GrsuLYDRgsP3s+HHqLXmDfk7zVSeePYMepd4EmfY9vlbYgIiMD8QfN5ma8nOTnA9+ZViKi5BFy71idrpKSkYIR5BLJuZvGTq9MDvT4XDz+8HWIxwY4dvE8PANCmaLF85HJk5GTA1NFZiU9+NBiwzzodYKTQavvoJLZuhXKMBrrcOljb+S06yizOxOTIyVjTfwSChUKkabWs38u6aKorAwbQokRvyP/nwSaW6UIbtSeDB9NUeC5GappWi2UyGVaPWgGGYZBdnO3GB3ZMw4kGGHUMlKGX7LZJ5QONJh3N0hlIr2VQ2wf3j9OnT6NMU4aFQQu7aabySXo6MG1aJSSS72EyGXif/2LNRVS0VSCkMqSbZiqv7NgBIhThv6+uhE7nerg7JI1LgqHVgH23eHBoMAy1JXbvpjlRv2G8RipfpKZSDdJZszyeymK1IPVKKhLHJEIo8Nwra4+UFEAzaRl9cvTBbu3y5csoKirCC7NegKZZw0+uTg9qarYiImIwli5l0CFnyivNV5vRdKEJSS8mwWAwdAr788nWmhoM81dCIY+BVtsHHZU6mleHbRgDS70Fhn38PWTMVjN+vPkjVMNVkAgEeEyhQDrLkD8hbhqpADWQDh3iLrzpxXPS0+lD88knOb1NIKBpHWyN1LK2NpxoaECCUgm5nxwz+89E3s08Nz6wYzTpGkiiJAh+ahJN1bLwu5E2mfSorc3H0MgkmAjBDxw2cGxJT09HWFgYFiUvgmabBsTKg1ZnF+rqaOfbVasCQIgVWi3/N9q0K2kIlYZizaw12L59e7cuf7yxfTvMjy6BAbI+eVYAwPjw8RitGM1fm9RVq+im8Mcf+ZnvF4rXSOUDQoCdO2mon4fq7COlR1DVVIWkh3iu6u+gtpZ6UhOeklLB0e3bubWDYcHWrVshk8nwyspXMDB4INKu8GuAmc310OuzERa2BomJ1JFdXs7rEqjZWgNRiAjzXp6HYcOGIY3ntpyNZjMy9Xokh4VBqUxEY+NptLbe5XUNpKQAMhn8X1gEvzF+0Kbz96AsLC9EbVstYobTfLvEji47RSxC/vfu0QegW0ZqfDwQENC95ZiXn4Zvv6Xab25U0HApntqh1cKHYaDu6L4WMywG+27t4yeUio5Qf7qWVvWvSQaqq4GCAl7mtqHT7QZAMCwyEY+GhGCrRsPr/F0F/Ps91Q/t5e2oO1zH6xoZGVRfdPXqIISGLkJNTYrrN3HAJuAfPzoeT695GlVVVTjIt3pHWRlw/Dh8nl6NpUv7zGkOhmGQNC4Ju6/vRoupxfMJR4+mYf/feGqT10jlg6tXaVVADD/J8dsub8OgkEGY0a9v8ph27qQ3nlWrQKsIb9ygHjeesFqtSElJQWJiInx8fJAwJgE/XPsBZit/4sRa7U4QYkRY2Gqo1bRPM58hf0IINCkaKJ9QQigVIjExEbt27eI15L9Lp0Or1Yqk8HDI5SoIBFJ+PRVWKzVSExMBiYRW+e/W8Rbyz7uZB7mvHNOiaG7iotBQhIhErEL+NmPFLSPV35/qj23ezPvmyosTbt2ibd5YaKPaY9Ik4OZN6hxyhS3Ub+u+tnz4cjQaG3G87LiLd7Kj4UQDjJUdAv7TpgHDhvFuvWg0aQgJmQeJJBxrwsNxqK4O5TyGbk+fPo179+4hISEBQQ8HQTpYCk0Kv4Zwejrt2tSvH9VMra8/jLa2Ut7mv1B9ATcNN5E4NhHTpk3DsGHD+A/5p6VRFQq1GsnJ1KFx9y6/S9hYPW41moxNyCnO4WfCZcto8dRv+D7nNVL5YN8+ehHwUF1ptBix49oOrB67mp8+1XZISaFpfVFRABYtosLWPIb8jx07hrKyMiR3aFsljk2EtkXLa8hfo9mGkJB5kEr7IzgYWLoUvIZxGgob0Ha3DWHJtBI0ISEBtbW12L9/P29rpGo0mBMcjIFSKUSiAMhky/k1Uk+dol6Ejna0YQlhsDTwF/LPLcnFsmHLOlNSOkP+Go3LkP/584BS2fEbdIe1a4Hbt709rn9KNm8GAgNp9MUNbBuSiy6KxO+1teFkQwMSulRhT4yYiHD/cOSW5Lq1dk80aR2h/lnBNP8vKYnm2vK0CaWh/v1QKmlno3ilEhKGQTqPIf+0tDSEhYVh7ty5YBgGYclh0KZrYTXxswmtrQX27r3fnEmheAwCgS80Gv5adqZdSYPMV4YFgxZQya7kZPzwww9o4zMPc/t2IDYWCApCXBzg5wds40l3vyfD5cMxJXIKthXxtMDixdQBdvUqP/P9AvEaqXyQnw/Mns2ityOLqW7nw9Bq6LNQv05HtdA767vEYho+5THkv2vXLkRGRmL27NkAgKlRUzEoZBBvIX+TqQ51dQWdDwCAOguPH6c2GR/oM/QQK8QImRsCAJgwYQKGDx+OdJ4s4SazGftraxHfEc4EbML+p9HaylOuZWYm7X7W8T34j/WnIf80zx+UVY1VOF99HjHDukcPEpVK3GhtxWUXIX9bPqrb+7BHHqHSAFu2uDmBF04QAnz/PbVY/NxrDTx6NN3Luwr520L9K+TyztcEjAAxw2N4yUslVgLtDm13Af/HHgPq64EjRzyeHwC02l0ACJRKKuAfLBJhYWgoMniq2uka6hd2qMko45Uw15lRf6SelzUyMmjDDZusqEgUCJlsGXS6DF7mJ4Qg7Woa4kfFQyykjVgSExPR0NCAAr5SL27dAs6c6XzgBQQAKhWNJvYVSeOSkFuSi/o2Hr6HOXPoRfMblqLiZKS2t7fj7bffRlRUFPz8/DBz5kzku/HHe+GFFyAQCLCCZbeSBxqjkVp9i/lpybnr2i6MkI/AQ2EP8TJfT3JzaRS4259+9WpahHLmjMfzE0KQmZkJtVoNQUd+LsMwSByTyFvI32DIAyFmKoTfwYoV/Ib8dRk6yFVyMEL6ELMJ++/atQtGHgSW99bWop2Qzpw7AF1C/jydREYGvSN3kURTJiihy/A85L/n5h4wYHo1mlgYGopQkQhpLvLv3C6asmHrcW3LXfHSt5w9Sz3XSe5vnsViYNw410ZqukaDGLm8M9RvI2ZYDIo0RSir92wnWn+8HsZKI8ISu+hlTppE82wz+DHAtNr0zlC/jTiFAkfr66Hn4fd66tQplJaWdhPwD5gUAJ/+PtBl8GMIp6XdD/XbkMvVaGg4AaPRcyWBc1XncLv2NhLH3j+HMWPGYOjQocjM5Kl5Q1oaTQ+Kje18KS6OPuoqKvhZoicJYxPQbmnHnpt7PJ/M15d+Cfv6RgLxlwAnI/WZZ57Bu+++i6eeegoffPABhEIhli9fjmPHjrGe48yZM/juu+8glUr7LJz9k3LyJNDcTMPmHmIlVuSU5GDFiBV99rfJyABmzKA9BzqZN48KHG/3PIxz7do13Lp1C2q1utvrCWMToGvR4eDdgx6voddnIiBgMqTS6M7XgoNp+g4fjs6Wkha0XGuBXC3v9jqfIf8MnQ5j/fwwtIv3nYb8Y/mp8r95k4aI4uK6vdwZ8t/rWcg/72YepvebDoWfotvrEoEAKxUKp8L+Wi19QHhkpALUSNXrqbi8l74lNZXmZ8yf79E0roqn7ra2orCxEYnK3h2gFg9ZDCEj9Nibqk3XQtJPgqCuAv4MA6jVNPrgYUTJaNR1hPq7d09SyeWwAMjV6z2aH6Ch/vDw8G4C/gzDQK6WQ5+p59RUwx61tdQuSkjo/rpcHguAgV7vec5l+tV0yH3lWDB4QedrDMNArVYjMzMTVisPaQvbt1MPhr9/50sxMXTfnpXl+fT2GBA8AOPDxyO7hCfJtEWLqCPsN9p9irWReurUKaSmpuJ//ud/8L//+79Yt24dDhw4gIEDB+KPf/wjqzkIIXj11Vexdu1ahPdBC8ifhfx8mtPp8ROX7iyrmqqwYkTfeJjb2qiaRQ+7BRCJ6N0oLY26WT0gIyMD/v7+ePTR7p1DpkROweCQwUi/4pkVabUaodfnQqFQ9zqWmAicOEHbu3uCPksPxoeBbIms2+vjx4/HiBEjPA75m61W5Oj1iFMoeh0LC0tAY+MZz0P+WVk0TNTDw98Z8vegyt9kMWHvrb1YPny53eMJSiVKWltxyUHI36Oiqa5MnEjbpPKsuuClB4TQv/ETT9B7hQdMmgRcuQK0O9Cdt4X6VXJ5r2OhvqGYFT3Lo7xUu6F+G2o1ragp8kxQ3lbVbwv124jy8cH0wEBkemik2gv121DEKdB2tw3Nl9k31bDH7t1UkatnB1GJRIng4Fkeh/wJIUi7kob40fEQCbr/ptRqNSorK3HunIcNFq5dowXBPdqUh4ZSvwxfzlp7rBixArklufwUCy9eTB1hhYWez/ULhLWRumPHDohEIrz44oudr/n4+OD555/HiRMnUMHCd75lyxZcvXoVf/vb3zze6T0w7NtHq5B46DKVXZyNEGkIZkV7rrVqj4IC+ltX97bvqFeqvJxaeR6QmZmJpUuXQiqVdnudYRgkjvU85F9XdxgWSwPk8p6WNt0w+/h4HvLXZegQuigUQv/u3ylfIf/jDQ3Qm83dQv02ZLJYCAS+nhdQZWQACxfSJKwehCWGeRTyP1F+AvXt9Q6NVFch//Pn6ccaNsyt5e/DMHRnsnPnb9bL8JNQWEh3fjz0hp80ieY5Xrli/3i6VovlcjkCHRjDMcNikH87H+1m97ordYb6E+y0xpw/nxaGeRjy12rTEBIyHxJJ7zXUCgX2GAxo98AZUFhYiLKysm6hfhsh80IgDBRCl+lZyD8tjaZ92ytslMvVqK3dB4vFfZmls1VncafuTrdQv405c+YgNDQUGZ6mXqSmUh3wZct6HVKrgf37gaYmz5ZwhGqECoZWA06Wn/R8sokTqSPsNxryZ22knj9/HiNGjEBAj4fetI7WeBcuXHD6/sbGRrz99tv493//91+PF7W+nlZQ85SPmlWchZhhMZ1J5HyTkQEMGQKMGWPn4OzZNPnIg5B/dXU1CgsLe4X6bSSMSYC+Ve9Rlb9enwEfn2gEBEzodcx2P/LESDXpTag/Wg9FXG8DEqAh/7q6Oo+E/TN1OkRIJJgWGNjrGC9V/no9rXrv5TKnKBOUHoX880ryEOYfhsmRk+0eFwsEiHcS8j9/HpgwgRdJYbq5qqv7zd7AfxJSU2l+EA/qJePH072FvZD/3dZWnHIQ6rexfPhyNJuacbTUPVUHu6F+Gz4+9AbigYuNVvUf6FbU2ZU4uRxNFgsKamvdXmPHjh0IDw/HnDlzeh0T+Aggi5FBn+G+t7aujgYIe4b6bSgUcbBaW1Fb634xz85rOyH3ldvtqCgSiRAbG+t5XmpaGi2I8/HpdUitpvvavtLJn95vOpR+SmTd4CGnQCikDoffaPEU68dEVVUVIiMje71ue62ystLp+//617/C398fb7zxBseP+ABTUEDD4zwYqRUNFThXdQ6qESoePlhvrFYaAY6Lc1BRLRAAK1fSQW56ubOzs8EwDGK7JKl3ZXLkZEQFRrmtIUcIgU6XCblc7TBnV62macLuFtHqc/SAFZCreocbAeChhx7CoEGDkJ3tXr4RIQQZej1WyOUQODgHpXIlGhvPoL29yq01kJtLY3Uq+78l/zH+8B3pC32mew+y3JtUekrAOL59xCuVuNnaiustvb0tHhdNdWXcONrj2hvy7xusVpronZDAS7TI3x8YOdK+kZql10PMMIi1E+q3MT58PKICo9wK+RNCoM/UQ/GYoneo34ZaDZw+Dbh4njlCr88DYIFCYX+DONbfH4OlUmR4EPLPzs7GihUreoX6bSjUCjSeaUR7hXve5r17qbfbga8Bfn4j4Os7Ejqd+0ZkdnE2lg9f3ivUbyMuLg6XLl3CHXe7ypWU0HB/fLzdw4MHU538vgr5CxgBYkfE8peXungxdYjV86Pc8EuCtZHa2toKHzs7EltYt7W11eF7i4uL8cEHH+Bf//oXxOK+8RL+LOTnU9fk4MEeT5VbkgshI8SyYb1DE3xw9iy97zq68QCgRs29e27nZGVkZGD27NlQ2AljAzRcHjvc/Qu3ufkS2ttLHT4AAGD5cmpj57lZW6HL1CFwRiB8Inv/1gF6DiqVCtnZ2W6lrFxvacHN1la7+ag2ZLJlAAQwGNzMvcvMBKZPdypCKlfJoc/hXmBR0VCBSzWXeklP9WRBSAh8BQJk93gYNzXR5wdvRqq3x3Xfcvw4rXLjIdRvw1HxVLZej/khIQ5D/QC9/mKGuSdF1XK1BW132xxuQAHQG4gHVTUGQw4CAqbAx6e3Qwegnz9OoUCmTufW/ePmzZu4ceMGVA42oAAgWy4DhIAuy72dek4ONeAGDHA8RqGIg16fBUK4tzAtrS/FZc1lpw6ZpUuXQiKRIMvd6qbsbOpBdVLQrFbTYWb+esx0Y8WIFbiqvYrbtbc9n2zRIup44Lsb1y8A1kaqr68v2u1ku9tEd32daIS+9tprmD17NlauXOnGRwTeeOMNqNXqbv+29ZUaLxf27eM11D97wGzIfGWuB7tBZiZNGLcTIbrPvHnU1eGGl7C5uRn5+fmIcxBithE7PBbF+mKU6Es4r6HTZUAoDEJIyDyHYyIigKlT6Y2WK5Y2Cwx7DFCoHRuQABAbG4t79+7hqhsCyxk6HfwEAjwaEuJwjFgsR1DQw9Dr3TDm29uBPXtc7EYAeawcxiojms5zS8rKu5kHASPAkqFLnI7zFQqxKDS0l5H9ZJoTAAAgAElEQVR68SLdRPBmpALUgPL2uO4bUlNpGtAs/vLkJ02iv4OuLdqbzGYcrKuzWzDVk5hhMbimu4Y7tdy8bPocPQR+AoTMd3ztQSajaQ1uuNisVjMMhj2Qy51Hw9RyOSqNRpxtbOS8Rk5ODiQSCRYuXOhwjDiU6ju7EymxWGggxkEwrBOFQg2TSYOGhlOc18gpzoGQETq9hwQGBmLBggXuh/yzs2mtSJeq/p6o1YDBQPdhfcHiIYshEUqQXcyDN3XwYGDo0AcmrWnbtm29bLK+ipKzNlIjIyPthvSrqmhIMsqB1+bAgQP48ccf8eqrr+Lu3bud/8xmM1paWnDv3j00urhY3333XWRmZnb7l+SBXh8vlJYCxcW8SE+1mlqRfzsfquF9E+oH6D03NtZFca5UCixZ4paRmp+fj7a2Nof5qDYWDlkIH6EPckq4W5E6XSZkshgIBBKn42JjqZ3GVY6wrqAO1marw3xUG/Pnz4efn59bIf9MvR5LZTL4ugidyuWxMBj2wWrlGLIrKKDuShffQ/CcYAiDhNBnc3uQ5Zbk4uH+D7PaTKnkchyrr0dtly/i3DmqZzt2LKdlnTNmDA37e0P+/GKx0ATvxESeEogpkyfTAs6SLvvU/NpaGAlxGuq3sWjIIogEIs7eVH22nhZESl2kLbhZVdPQcBxmc12HTJNj5gQHI1QkcqvKPzs7GwsWLOhVG9ITRZwCtftrYW7k5iY8fZqmSrkyUoOCZkIsVrpV5Z9TkoNHBj6CEKmTzQJoyP/QoUOoq6vjtkB9PXD4cA8x8N5MnQpERvZdyD/QJxDzB83nx0gFqK3xgBipSUlJvWyyd999t0/WYn3nmTRpEoqLi3sZlIUdsggTJ060+77SDj2g+Ph4DBkypPNfZWUlDhw4gMGDB+Obb75x9/P/fOTn01BjD6kldzhw5wBaza1YMbJvpKfu3KFKHC7sFopKRSv8OSZ1ZmRkYPTo0Rg+fLjTcQGSAMwfNJ+zkdrWVo6mprN2pad6olLR+xTXHbIuQwfpECn8xjjvqCOVSrFo0SLkcHTX1hiNONnQADWLB7FcroLV2oy6ukOc1kBmJt11jxvndJhALIBsqYzm4LLEaDEi/3a+y1C/jeUyGSwAfjTcL9A6e5aGEiXO9xncWbWKnruTtCMvHDlyBKiu5jXUD9z3op89e/+1bL0eo3roBjsiWBqMOQPmcDJSTQYT6o/XQx7r+tqDWk0jEnv3sp4fAPT6bIjF4QgMnOJ0nFggwHKZjHP3qcbGRhw6dMhhzn9X5Go5iJGgdi+3Aq3sbOpMnjnT+TiGEUIuV0Gv52bhtZhasP/OfsQOd30OK1asgNlsRh7X3C1bUq2Lv5NAQO3YjAzemi32QjVchYN3D6KhvcHzyRYvpo4xTzUWf2GwNlKfeOIJWCwWfP75552vtbe345tvvsHMmTPRr6MtRXV1Na5fvw5zR6LHwoULsXv37m7/du3aBaVSiWnTpmH37t1O82seWPbtA6ZMoVe0h2QXZ2No6FCMlI/k4YP1JiuLGgV2lDh6Y0vqzGWfD2mxWJCdne3Si2pDNUKFQ3cPobGdfbhLr88Cw4ggk7k2kCZPBsLDuTmEiZVAn6WHIk7BqpGCSqXCsWPHYDCwr5DP1uvBAKy8Rf7+4+DjE81NNJsQaqip1az6jcpVcjSeaoSxhp1807HSY2g0NjqUnupJf6kUEwMCuoX8z56llw3vJCZSz5e7ycheepOaCgwcSLt/8IhMRvdRNiPVSghyDAZWoX4bMcNisP/2frSZ2eUhG340ABawM1KHDqWufo4uNr0+B3L5cjBOCgptxCkUuNTcjLscNlX79u2DyWRiZaT6DvaF/0P+nLtP5eTQ5wQbOVy5XI2WlmtoaWGfulVwpwBt5jZWBcL9+/fHlClTuEtRZWVRGQlnSbUdqNW078n169yWYItqhAomqwn7bvHgAV2wgN7Xf2NV/qyN1OnTpyMhIQH/5//8H7z99tv4/PPP8eijj6K0tBT//Oc/O8f927/9G8aMGdOZGhAdHd0rdyEuLg6+vr4IDw+HWq3GkCFD+D+zvsRqpeEgHvJRCSHILsmGaoSqz7pMZWbS37cdxaPeRETQohsOFt7Jkyeh1WpZG6mxw2PphXub/YWr02UgOHguxOJQl2MFArqJ5uLobDzbCGOlsVeXKUcsX74cVqsVP3LIg8zQ6TArOBhKFm5EhmE6PBUcCrTOnaNFLiy/B1mMDGAAfR47b2rezTxEBkRiYoT9qIk9VHI58gwGmK1WtLTQJlh9YqSOGEH1BFNT+2Dy3yBmM/DDD9T474P70pQp943Uc42NqDYaORmpy4cvR6u5lbWcnT5Hj4CJAfDpZ78gshccq2paW++gpeWqy3xUG0tlMogZhlPIPycnB6NHj2b9vJSraXGk1cxOk7W8HLhwwaEoSC9kssUQCKScvKnZxdkYEjqEtUNGrVYjLy+PvS61LamWZcv1hQsBP7++C/kPDh2MscqxyCrmQYpKJqM5Cl4j1TGbN2/G66+/ji1btuC1117r9KB11WtjGIaVsfWLbol66RLt7chDPurFmosobyjvsy5TdXXAoUMOJTPto1LRIhSWN4bMzEyEhYVhBkuPy+DQwRijHMM6V8dsbkBd3QGnVf09iY2lCiS3WRZW6jP1EIWKEDwnmNX4fv36YdKkSazzUlssFuyrrUUchwexXB6LtrbbaGm5we4NmZlASAhrPUuJUoKgGUGs81JzS6j0FJdrVyWXw2A242RDAy5epPu7PjFSARryz86mCY9ePOPgQXqP4znUb2PKFFrhb7XSCEOISIRZQXa0Sx0wVjkW/YP6s5KiIhYCQ57BeVV/T+LiqN4wy+Ymen0OGEaM0FB2josgkQiPhoQgk2XI32q1Iicnh1PUURGngNlgRsMxdqHm3Fy6wV+6lN38QqE/QkMXsc5LJYQgpyQHquHsHTJqtRoNDQ04dIhl2lNhIf3eWP6dpFJ6vp72DXCGaoQKuSW5sFi5KyH0YtEiaqTy0TL2FwInI9XHxwf//Oc/UVlZidbWVpw8eRKLe3gTv/nmG1gsFgxw4Wq/c+eO52K9Pxf79gG+vlQA30Oyi7MR5BOERwZ6LpRtj7w86gxgubGkqFS0WvrIEVbDMzIyoFKpHOr22SN2eCxyS3JhJa4vNoNhLwgxQS5n5yEEqJNbLGbvTdVl6iCPlUMgYn9JxMbGYs+ePZ2pLc7YV1uLNqvVbpcpR4SELOjwVLD0amdk0HQNDjJvslgZavfWwmp0/j2U1pfiivYK61C/jWmBgVCKxcjW63H2LP1oLtJl3ScxEWhpcU/awUt3UlOpvF4f7SimTAEaG2nxVLZej6WhoRBzKM5iGAbLhy1nZaQ2nGyA2WCGLJZData0aTSqxNJ60euzERw8FyIRm3AVRa1Q4FB9PepYVHieO3cONTU1rEL9NgKnBEISKWHdfSo7mz7SuGSwyeVxqK8/BqPR9RqXNZdR1lCG2BHsz2HChAkYMGAAe1shKwtQKun3xxKbtnZNDeu3cGLFiBXQtmhxuvK055MtXkw3j5cueT7XLwT+SjZ/S+TnA3Pn2u1kwZWs4iwsHboUEiHflSSUjAyao9m/P4c3TZxIZWdYeAlv3LiBGzduuJSe6olqhAo1zTU4W3nW5Vi9PgP+/uPh6zuI9fyBgVRRi4290nqnFc2XmiGP4+BpAc1LNRgMOHnSdeu7TJ0Oo/z8MMLPeVFWV4RCP4SELITBwOIk7t2juj4cvwe5Sg5LowX1R5yLROeV5EHICLFoCLfogYBhsFwmQ47B0Fk0xcNlY58hQ2g4zBvy9wyTibaaXbWqT0L9AL0nAUD++XacbWriFOq3ETM8BiWGEtw03HQ6Tp+th1gpRtA09p5aLlU1ZnMT6uoKWIf6bajlcpgJQR6LvPbs7GyEhIRgFgcpMEbAQK6WQ5fhWpO1rY1msHGwgQGg45ytrO5ROcU58Bf7Y95AxxKCPWEYBmq1GhkZGezSnrKz72vdsiQ2lv7M3ezP4pKZ/WdC7ivnp/vUrFnUQfYbCvl7jVSutLVReQseQv01TTU4VXGqz7pMGY3Uk8rRbqFXrErFqvtUVlYWfH19sYjj32NW9CyESENcVvlbrWbo9Tmsqvp7olLdV2Ryhj5LD0bCQLaUWxHctGnToFQqXVb5WwhBll7Pqqq/J3J5LOrqjsBkciHDkpVF3ZRsY3UdBEwIgKSfxGWVf97NvM7vjCsquRxFzc04cae170L9NlatonFLNzQovXSwfz8VkOyjUD8AyOXAoEFARrUBAgDL3ChAXTh4IcQCMfJKnBfL6XP0kMXIwAg5Gty2qpobztNt6ur2gxCjS+mpnvSXSjE5IIBVlX9OTg6WLl3KuRmOQq1A2602tFzr3fmtKwcP0iAE1xpmH58IBAbOYNV9KrskG0uGLoGPiNsuVa1Wo6ysDBcvXnQ+8O5d2oiGU9iQOl5nzeq7vFShQIjlw5fz033Kx4c6yB4QKaqfAq+RypXjx6mhykPRVE5JDhgwrCV9uHL4MI3as6yj6Y5KBdy65fIGnZGRgcWLF8OPg4cQAEQCEZYOXeoyL7W+/ijM5lrI5VwtbbpDNhrpM9cZugwdQh8NhSiQRUlrFwQCAWJiYlzmpRY2NEBrMjntMuUI+uCzoLbWhRxORgYwfz4QzC6n1gbDMJAvlzvNSzVZTDhw5wCWDuVmANtYIpNBxDAolhn63khNSKDXp7udarxQT/SIEcCECX26zJQpwDkfPR4OCoLCDU2yQJ9AzIqe5bQAs620Dc2Xm9lV9ffEVlXjIuSv1+fA13cE/Pycy+/ZI06hQJ7BAKOTHMOqqiqcOXOGU6jfRsijIRD4C1xW+WdnUyGHMWM4LwGFIg4Gw4+wWBwrLehadDhZfpKV9FRP5s2bh6CgINdV/tnZdKPuxrNZraZ2n50uzrygGqHCpZpLuFd3z/PJFi+mqXi/kQ57XiOVK/v20a3XQw95PFV2cTYejn4YSn8lDx+sNxkZVIXDrWfNo4/SrHInBphWq8Xx48dZV/X3RDVChbNVZ1HV6LhHvV6fCYkkCoGBkznPP2wY7RPuzIY01ZpQd6iOdVV/T1QqFYqKinDvnuObT4ZOB6VYjBkcCkNsSKUD4O//kHMpqvp66grh7DKnyFVytJa0oqXY/h36VMUpNBobXXaZckSQSISJTDDIDH3fG6kDB1KRR2/I3z2MRtpito+q+rsyfqoF+kEGxMrcu/YAYMnQJTh49yBMFvt5nfocPRgRg9AlrlVBeuHrS5ubOHGxEUI6pKe4G18ADfk3WCw45ESwPi8vj7aDjeHuzBBKhVQP2Un3KUJoWpRK5d5XrlCoOzSdDzgcs+fmHliJlXNOOwBIJBLExMS4zkvNzqY5Xm7cZ+PiqMRyX0XRlw5dCpFA5FYTm14sWkQ/bF+1ynrA8BqpXMnPpz8SDzuwtJnbsPfW3j7rMsVRMrM3fn70PJ1YeLm5uSCEuK1zu2zYMjBgHBY/EEKg02VCLl/BSnvQHjYpKkdZC4Y9HfqJK9x7UC5ZsgQikchpyD9Lr4dKLofQzYe+XK6CwZDruE+2Tbzaze8hdGEoGB/GYch/3+19CJWGYnIk942CjQGVcmBSLYaM4aHC1RUJCVSdooEHAe3fGvn5VBKkD0P9NkRT6gFfK8Y1u2+kLh6yGI3GRhRWFNo9rs/RI3hOMMQh3MLknaxY4bS5SVPTBRiNlZzzUW1MCAjAgP+fvTcPjiK90/yfulW6qjIFiFOgA2hojkaAAAFCV2aJprvt3eked8/+PDFeO2ZjPBE743GEPfZuzH92jL0bYcfMzkSsp2c9Oxe2u9s7Y3OoMnUhhABxQ3OjA8QpUGZVSVWS6srfH69SUklVqiPfrKZpfSI6OkIqMrNKlW9+3+/xPDYbfjuPFNWRI0ewe/duLMqgEgOQKX/fWV9CPeQbN0ilPINELQAgN3cjcnLK553yP3r3KLYv245lBcsyOseXvvQlXLx4EYODg/FfMDpKervSLPWrrFtHEhp6Tfk7chyoWV1DR4pq82ZgyZIvTF/qQpCaDl4vEfebxzc5VU4MnIA/5NfNZer6dWJMockn4a23gK4uQI7vWnLs2DHs3LkTxcXFGR1+Ue4i7Fm1J+HucmzsHsbHezN+AADkLTx5QuRu4iEdl5C3NQ85K3MyOr7D4cD+/fsTBqn3x8dxMxDAmxpMH4qKDiEUegGfL8F0aHMzqdOtXp3R8U15JjB1TMIgVegV0FDWAJMx9WGEOZwuAqwKugLpOeBkxLvvEscgvSYhXmU++og8rXWTYJhmYOkw8NSGkauJ/dWTUbmsEkwOA6F3bjtMJBCBp9WTnvTUbJqayA43QQ/g8PBRmEwFcDj2xf19MgwGAw6yLJoTDE9NTExAFEVNhjdsEwsok4YGcTh6lOQk6uoyOz7RdD4ESWqOO9wUjobRfK9Z0+xFU1MTjEYjmpub479AFEkVINNIG+RZcfy4fu5Tb697G239bRgNpme3OwejkVQ62xJnrl8lFoLUdDh7lnyD92W2IM3k6N2jWO1YjdcX0zQxn6a5mVSrDqQ+SDmXQ4eIOHKchSEcDkMQhIxKUDGnWHsIQq+AifBcj3pJOg6DwQqnszbj4+/bR6o/8WJIJapAcktkEdfAoUOH0NbWhkCchia3JMEEoJHJoNw4SWHhbpjNbHwpKkUhfx+Nfwf2EAtvpxdhX6yclnfci55HPeDKtPVg3+vIhcNnj3Gf0o2SEmJI8dFH+p/rVUIt9b/7ru6lfkVR0OIfRv71Ily8kPm5TEYTGsoa4valeto9iI5H05Oems3y5aRfKkFwNDx8BCzrgtGYuTpLE8vi7tgYeuO4T3V2dmJ0dDSjflQV6xIr8rfnk6pRHI4cIXmXnMz26QAAlm3CxMQDBAI35/yue7AbnnFPRv2oKgzDYPfu3YktUo8cATZsIG5hGXLwIElo6KXu9Na6txCMBNHal2RIIhX27SPmLV+AvtSFIDUduruJiNy6dZoP5e51py2Mng7NzWSORsvCg5UridF2nIxUT08PPB4PmlLyWk3MW+vegj/kj+scI0nNcDj2w2zOz/j46sB7vKTa6OVRhIZCKDqoIdMC0pc6Pj6Otjg722ZJwh6HA840p3JnYjCYwLIH48u8fPop8Phxip63iSk6VAQlpEAWYzOd7QPtiCgRTUHq2BjJ7O8IF+HI8HDqDlpaeO89khZZmPJPnbY2Uup/7z3dT3UzEED/+Di2+IumnKcyhS/j0fOoB57x2L7O4SPDyCnPQe769IY659DURNpHZg03BYNDGBnpActmHnwBQAPDwGwwwB0nm3r06FGsXLkSW7Zs0XQOtomFJEhQIrH3niyTx5pWZ3Kn8wAMBhskaW4wf/TOURTnFWP7cm0N6U1NTWhpaUFotq5sNEqyEBmW+lX27QPy8hLuRzRTwVagnCmPm/VPmz17iFSc1pvnc8BCkJoO3d3ky6ExsLzvuY87w3cyHkRJxugoGf7TmFwjqDWQWYL1zc3NYFkWO9MQTY7H5iWbsbJw5Zwp/0hkDB5PB4qKtL+JQ4eAc+fmijVLzRJMBSYU7km/0X4m69atQ3l5+Zwp/2A0ihZZzkheZzZFRW9hdPQyxscfxv7i+HFSq9OY3beX2pG7MXdOyV/sFVHBVqCUKc342FevkoT87ywvwpNgEJeSaYLRQC35Lwj7p85HHwFr1xLfc505MjyMXKMR/GInLl7UZqDDlXOIKlG097dP/UxRFAwfHUbRoSLtiYCmJrJ4zJJAkiSS1dO6RhWYzdjncMwp+SuKgiNHjuDQoUOa30PRwSKEh8MYuRC7aXO7yb35ZvrzTDEQTefauEHqkbtH8ObaN2HMcK5A5eDBgxgZGcHp2S5gFy6Qv4/GSNtmI1V0vYJUgAz6pWMHnpAtW8i6/wUYnloIUlMlEiG2FGmIKSdC7BNhNBhRX1pP4cLm0t5OKncak2uEt96a3m7PoLm5GTzPp+UyFQ+DwYC31r6FI3djPeq93pOIRsfAstrfhBqsz64USc0SmAYGRqu228BgMOCtt97C0aNHY97DaZ8PI5EIlSCVZV0ATJCkWUNmzc2kmUxTypxQ9Bbx+lai0+9B6BM0l/ovXADMZuD/2+JAocmUnZL/mjXEdWah5J8aoVDWSv0ACVIbGAa7K03w+YjaXaasca5BBVsR8/D3X/NjYnBCWz+qSnU1kJ8/J3oZHj6KgoKdsFoz68mfSRPLok2WMTEjWr9z5w56e3s19aOqFOwqgMlhmlPyP3KEeLekZfaSAJZtgsdzApHItC1xv9yPG89vUNECr6ysxKJFi+b2pf72twDDkASSRpqayBiGXjOXfDmPu9Jd9Mv92g5kNgO7di0EqQvM4MYNUjqkEKQKvQJ2rdiVkTB6KjQ3E/OdigoKB9uxAygujqmXP3/+HOfPn9dc6lc5tO4Q+uQ+3B6e1mSVpOOw2VYiNzcD4b5ZLFlCWhRnJtVCnhC83V7N/agqhw4dwsOHD3F1RkNTsyRhicWCbfmZtyuoWCwMHI69sX2pIyNkRaX0dyg6VITQUGgq2zLgGcA96R6VIHXTJqAg1wgXy+JoNoJUgARcx44ld3NYgOxsJSkrpX4pFEK314u3ioqmJMm0Vi25Mi6mjDp8dBjGPCOcNRTWWKuVNG3O2OVGoyFIklvTUOdMmlgW/mgUXd5p57cjR44gJycH9fXakxlGsxEsx0I6Ph2kRiLkLWlod42BZZugKEF4PB1TPzt69ygsRovmNQQgutQul2tuX6rqMmVOT+c6Hk1NpGio10xS3Zo6mAwmOtnU6moSpGajfeozZCFITZXubmK1prG8HYlG0NLXQuWmjYeikIWnqYlSQsRoJAvAjAhPEAQoigJXmu5GiagvrYfNZItxjpGkZrDsQWo9u4cOEaUmtZ3J0+oBIqAWpNbU1CA/Px/Hjk1nOpslCS6WhZHSeygqOgRZbpkWzW5vJ2+IUpBaWF0Is9M8Jewv9oowGUyoK81w7HeSCxemLeDfKipCz8gIngXjy+FQRRX2P5bc3/0Lz0cfkaGTN97Q/VRuSUIEwJssi0WLyJyb5r7Uch69cu9Uhmr46DBYjoXRRukR19REngGTQaTXewqRiC9jfdTZbMnLw1KrNabkf+zYMdTV1aVtlJIItomFr8eH0DBZBHt6yL5Ea6lfJTd3PXJy1sSU/I/fO479q/ejwFZA5RxNTU24fPkynjyZ1NZ+/JhIt1CKtMvKSMeLXiV/R44Du1buotOXWl0NDA0B/Rqzsi85C0FqqnR3kwU8L3O5FAC48OQC5HFZt37Ue/fId5ZKP6pKUxPJJE9q1DU3N2Pbtm1YunQplcPnWnJRs7oGQh+5ccfGBhAI3KJS6ldxuUgJ5+yknKLULCF3Qy5yVmsvkwOAzWZDXV0d3G43AODJxAQuj45SKfWrsGwTotEx+HynyA+am0m6nErKnGRbGI6ZkqoR+0RUrajSlPEfHydDU2qQ6pr8PIQU/Mo1U1pKTrxQ8p+fUAj4f/8va6X+ZknClrw8rJxsUdm+XXuQOjNDFfKE4DvjA3uQ3r0Hl4ukHift62TZDYtlCfLz6QT1BoMBTTOkqPx+P7q6uqhVqwCAcTFAFJBbyHCk2w04naTKRAODwQCWbZoKUifCE+gY6EBTOc113AWDwQBBmAzyBIF8Z3l6z9ODB/WVouLLeLT2tyIcDSd/8Xzs3k3+/4qX/BeC1FRRh6Y0IvQKKLQVomoFpZVhFs3NpDpVW0vxoKp5gSAgGo3C7XZTXTwBkgk5MXAC4+FxyLIbgAkMo12PVmX7diLMIAhkIEFq1i49NRuXy4Xu7m6MjIzALUkwAOA0SE/NJi9vM6zWpZAkd2zKnCKsi8XIuRGMvxinkvG/epWUz9Qgtdhqxbb8/LiTzLrw3nskk+r3J3/tF5UTJ4Dh4ayU+hVFgSDLU5sVYNIe9aK2oMCR40DViiqIfSI8baRKkpHLVCJKS4l+7GSKTZLcYFk+Y5OReBxkWXzq9+Ph+DhOnDiBYDBIrVoFADkrc5C3OW+qL1UQyNJOoUo+Bcs2YWzsHgKBezg1eAqBUIBqQmbx4sXYvn37dF+q201a0ooo9B5P0tRENMZv3aJ2yBj4ch6ecQ/OPz6v7UAsC7z22kKQugBISv3ePWr9qPWl9bCYMpckmo/jx4H9+0mfPzVYlrQ5uN24ePEinj9/Tj1IdZW7MBYeQ9eDLgwPH4fDUQ2zOT0f+vkwmciC7HYD/ut+TDycoB6k8jyPUCiEjo4ONEsSdhQUYHEGnuSJMBgMYBieBKl37hCbGMp/B4Yn2ZZLn1yCPC6DK6czNDVzYNzFshBkGdFs9FK9+y4x5E6kr7gAyTSXlgKVmTuKpcpVvx9Pg8E5QarXq214CiB9qa19rRhuHoZ9nR32NXaNVzuLpiaguRnBiacYHb0EhqFbDWtkGBhBMs1utxslJSVYR0HucCZsEwupWYI0rODsWaoJSACA01kPg8ECSWqG0CugOK8YW4rpqkU0NTVBEAREgkEi4k8xkAeItrjNpl/Jf+eKnXDYHPRK/gtB6gI4c4b8X2OQ6pvw4fTD0+DL9Cn1j40RC3fKcQvB5QJaWuA+dgyFhYXYQyGrPJNNSzZhWf4yNN87Bo+nFSxLs1+B4HIRKaq+X3tgtBvhqKEXBANARUUFSktL4Xa7IcgyDlIs9auwrAt+/1VMtPxSh5Q5kLMqB7kbcvHgtw9QYC3ArhW7NB3vwgXg9ddjxQdcDIPnoRAuZ2OgqbycaP0ulPzjEw4Dv/41yaJmodTvliTkGo3Y55i+92gNT/HlPOQxGc+OPwPron/voakJGByEfP0fAQAMQ3eugLVYsKuwEM2SBEEQpkrbVM/RxCL4NIhjPx9HNEo/SDWbifuWJDXD3esGX85Tfw8HDx6EJEm48c//TCoAlIPU3FwSqOoVpCGxr0EAACAASURBVJqN5oQGFGlTXQ1cu/ZKW0AvBKmp0N1NnEdKSjQdpmOgA+FoWLd+1JMnSaBKtR9VxeUCZBkPPvkEjY2NsGgQp4+HwWAAX86j+e6/IxIZpdqPqsLzkwZNH4XhrHPClKNNPms2BoMBPM/jN83NkMNhqv2oKgzTCACQ+z8Gamo090jHg3WxyDmdg7o1dZoz/jOHplSqHQ7km0zZLfkfOUIyqgvEcuIE8aV/992snM4tSah1OmEzTj96Fi8GVq3SHqRWrajC+pH1UB4q+gSpBw4AOTmQ+n+FvLytsNno9OTPpIll4b51C7du3QJPO4IE4NjrgDHPiGO/CmP9+oydlOeFZZvQN9SGy08vw1VON4AEgKqqKjidTjz/538mdoK7tG2k43HwILk19Foy+DIepwdPwzehMbisriYiwz09dC7sJWQhSE2F7m7yZdC4IxR7RZQxZShnM7dum4/mZqJ3t1G7atNcqqoQLSzE0mvXqJf6VfhyHtdf9MEbXYT8/K3Uj79yJbDxNQUnbtiol/pVXC4XBnt7UTg0hJ0FdCZaZ2K1LkF+7huQcq/rlDIH7HV2OCQH3jJqk9cZHyeGWLODVKvRiDqnM3tBqlry11Ol+/PKxx8TTdkdO3Q/lT8SQZfXG1PqV6ExPGUxWfCV4a8gYorAcYBulQQAYLdDqT0AyXZtUreYPk0si9GzZ2E0GtHQQK8nX8VoM8JZx6DjqpV2AnIKlm3CuWFi8aq1XSgeZrMZHMeBPXeOqO9TTpgAZGmdmCCVST3gy3lElEiMAUVGrF9PNGJf4ZL/QpCajGCQ1Ihp9KNSEEafD6rSU7Mxm/H4tdfAK4puQar62dycWE91IGEm+9eN41yUAaNHpgUgmoYmE9Zevw6zUZ/3wPrWQ94WheLSJyN/Zc0VBE1BbL+nzcbw2rXYoamZuFgWp3w+jIQ1Trimwtq1xH99oeQfSyRCSv1Zmurv8HgQVJSEQarW4SkA2N67HddKrmHcqo+nuf/LWxDKD4LNrdHl+DsKCmA9fx7Ltm4FQ3Hociae7UvwZMKGhn0RXY6fl7cZF712bGSWYEneEl3O8XZNDTaNjmJ0715djq9mmfXa15YypXQsUo1GMtA924XrFWIhSE3G5cskJaSxB3PAM6CrFerAAJlG1Cl+BAC0ms3YBWCVDhlCACg0h7A2HzinY4JtR3QYz5GD+2HKQxWThOx2YMMG4LzGyc15YM6EEWKA0ZJQ8hdngPhYxN2yuzCf0jb2e+ECGViL57LpYhiEFQXtHs/cX+rBe+8RZ5qxseyc7/NAZycZCs1iqX+1zYZ19rn33vbtgMcD9PVlfvxoMArHJQd6ynrQeb9Tw5UmRtoBGMcAx0V97j0lGoVy8SIiOma2zysMzIhiS1ifhVaBgvMysIPRJwgGgEN2O8wA2nTIogJkzzY5J6cbfDk/JbuoCTVI1eIt/BKzEKQm4/RpMuq3bZumw4i9+lqhut3TE+x6oCgK/ubePZiBKa1A2kiSGzsZ4OTj24gq9G84RVFQce0xrKYoBEGfzJEgy8COHbh76hTCOmUJHYevwRgyQ5IpLHBxEPtETFRPwNPhQWQ88wfNxYtkaCpOTIKK3FyU5eRkty/V7yc3ygKEjz8mffa0hDKToJpbxBukUbPtFy9mfnzvKS8Uv4LBNwbpTE7HQTJdhPOOHcZmfdbAc+fOIeTz4emWLboZXrRdsGKrfQQTHfrce9eeXcOL8TFszR/G+PgDXc7BnjuH+1YrPtHyhUnCwYPA3bvaVScSwZfzuCfd026RWl1N5DFu3qRzYS8ZC0FqMrq7Sb+WzabpMEKf/lao1dWAQ4dWLAC4du0azg0Nwb9qlW4PeklqRs2KDXgeeIHLTy9TP/7YvTHgfgB7Noch6PMMQ7MkoaKmBj6vFz16NLP398N44w4YZeuknixdHvke4frz61j99mpEx6Lwncq8sT/e0NRMmlg2e0HqunUkpbtQ8idEIsAnn2St1N8/Noa7Y2MJhwmXLCE941r6UmVBhmWJBev3raczOT2LSMQPr/ck2Mg23VJsgiCg0OEANmzQxfBiYoIY1dVtC0FqlqDoIAPn7nUj15KLTQ4DkcujjaIAbjcebtqE5uZmRHXKINbXE/k8vbKp1CxSq6pI2f8V7UtdCFKToQ5NaUC1QtWr1B8MkuSmnqX+5uZm5ObmwvbOOyRIpby4RaNhyLKA2vLfQZ4lT5dMiNQswWA14ODvmNDRQbo4aBJVFLglCf9h714wDDPlPkWVyZQ5U/YVeL2nEA7TlXFq6WuBAQbUNNXAutQ65T6VLhMTpCd1viDVxbLoHR9Hb7ZK8O+9B/zmNwtT/gAp9T97lhUBf4CU+k0A6ufps9Q6PCW5JTAcA66Cw43nN/DI9yjzg8XB4+mEogTBrP09opt97x7V4wOA2+0G19iISocjxiKVFt3d5Ov/5gdmTDyYQOAW/XtB6BVQu6YWi5x7IEk66BPfuwcMDKDw3XcxNDSEy5fpJzQAoKAA2LdPX4vU3St3a3/W5eeTnvuFIPULyOAg8PCh5iD1/OPz8Ix7dAtSu7uBkRGdpKcmaW5uRn19PcxvvknsOG7fpnr8kZEehMMeLFvyFupK6+DupR/gScclOPY7cPAdE8bGgFOn6B7/8ugohkIhvLl4MRobG6et+2gymTJnl38JihKCx9NB9fBin4jKZZVYnLcYDM9AEjJ7UH76KXHbnC9IrXM6YTYYspdNff99YHQUOHo0O+d7mTl8mEz16yDfEw+3LGOPwwHHPPZGapCayf43OBTE6KVRsC4WDWUNMMCAlr4WDVc8F0lyw2ZbhdwDXyUpNsqbUI/Hg7Nnz4LneRycrDJEKCcDBIFkrfd9rQDGHCOk43TvPX/Qj5MPTsJV7gLLHoQstyAapdy/63YDFgvW/5f/gvz8/Gn3KR04eBBoa6Of0FDhyylZpL7Cov4LQep8qH90jUNT2bBCLS4mmyk9GBkZmfaRPnCAiMhTXqAlqRlmM4uCgh1wlbtw6sEpjAbpZQkjYxF4OjwoOliEzZuBpUvpdy0clyQUmEyodjjgcrnQ09MDWZbpnWBGytxuX4ucnDWQKfalKoqClr4WNJaRxmaWZ+G/4sfE04m0j6UOTc33nSwwm7G3sDB7QWpFBWndOXw4O+d7WQkGST/q++9npdQfikbRKstwJZlW374dkGWgP4MWPVkk9xnDMViUuwiVyyrpDKXMPIcsgGVdMBQW6pJia2trQyQSAc/zaGJZDIfDuDAyQvUcbjfAcYAlzwTHAceURSotOu93IhgJgi/nwbJNiERG4PNRnjx3u4F9+2BlWTQ0NOgapDY1kcxzV5c+x6dmkVpdTVwIX7ygc2EvEQtB6nx0dwNlZSQC1IDQR6xQzUaKJskzaG4mWvs6KR6hra0NoVCIBKl5ecR3VYcglXhhm8CX8whFQ+gY6KB2fO9JL6JjUbBNLAwGIuxPO9HZLEloYBhYjUbwPI9oNIpWmkNm3d0kE9jUNGmR6qLa8/Xp0Kd45n82JQXGcCSokIX0A+2eHmDz5vhDUzNxsSzaPB4EszWZ+sEHwLFjZNDgi4ookmjwgw+ycrozPh9GIpG40lMz2bmT/P/cufTPIbkl5G3Ng20pmR1oLGtEW38btZ7L8fFBBAI3wTCT4qI6pNgEQcC6deuwZs0a7C4shMNkolryHxoCLl2aNmhim1h4TngQ8dObwnf3ulHiKMH6ovUoKKiExbIYkkQxiAwGSVPt5JtoampCd3c3PDqphGzeDCxbpl/Jf8fyHXQsUtVEmuqO+QqxEKTOx+nTVKxQzzw8o5sV6pMnwJUr+vejVlRUoLx80oTA5SIqxxPpZ9jiEQy+wMjI+SmXqbXsWqxxrqHalyq5JdhW2pC7MRcACVKvXAGePqVzfG84jNNe71S2aNWqVdiwYQPdvlS3m9Tq3ngDAMCyPMbG7mBsbIDK4Vv7W5FjzsHeEqI9aF1iRX5lfkYl/7NnUxsad7EsRiMRdGcraPzKV8iD7t/+LTvnexk5fJg4fmzenJXTuSUJRWYzKpNI1y1eDJSWku9OOiiKAkmQYlymGssa8XT0KW48v5HJJc+BVCyMYJhJgX2Xi6TYKJVYFUWB2+2GazL4MhuNaGQYqkGqODmfw01KdbNNLJSgAs8JegGe0CuALyNWqAaDEQzD0+1LPXWKqHRMfk4HDx5EJBKhmwyYgSpFdVyH1lpg2iJV87NuzRpSHnwFS/4LQWoiAgGy7dQYpOpthSoI5Ebi9PMIgCAIsQL+PE/0JinVQGS5BYAChiGfkcFgAF/GU+1LlQUZDM9Myd+on5dIaQi4XZYRAWKyRTzPw+1205ugFQRy4ZMpc6ezHoCJWsm/pa8F+0r2IcecM/UzlmchCzKUaOrvYWQEuH49tSD1jfx8LLZY4KbZFjEfK1aQSsAvfpGd871sBALAv/971kr9AOlH5VgWphTOV1WVvsOj/6ofoWchsPz0vbd31V7YTDZqfamS5EZhYRUslsmWhc2bSYWNUjnm7t27GBgYiLFC5VkWPT4fPCE6PZ2CQNpvlk66ueauz4VtlW2qVUIrg95B3HxxE66KaSsrlnVhdPQygsEhKueY2qhPii+vXr0a69ev16f/fxKXC7hxg4yn6AFfxuPMwzPaLFINhle2L3UhSE3E+fPELkdjkCr0CrpaoYoiUFkJLFqky+HR29uLvr4+cDOj4C1bqDZ1yrKAvLzNsNmWTf3MVeHCneE7GPAMaD7+xOMJ+D/1xzzEliwh0re0Ep2CLKPCbkfpjPq2y+XC4OAgbtMYMnv+nIhIzvg7WCxOFBbuolLyD0VIe0VjaazQLuNiEHoewuiV1PuD1eGXVGZyjAYDeIbJXl8qQMrcokg+0y8aR4+SlpEslfqfB4O4MDKStB9VZdcu8v1JJy6TBAlGuxGOfdP6e3aLHftK9qGlX3uQqigRyHLL1CYaANkochy1IFUQBFgsFtTW1k79jGMYRAAqhheKQi51RgxMWoY0DEfORugVYDQY0VA6befKMGQ9IYkICrjd5E3M6G3jOI5uMmAWDQ0kBmyhO4c3hWqR2tbfpu1A1dVkh0dpU/OysBCkJqK7m0g7bNqk6TBin6ibFWo0Sp61vD5JWgBk8TSbzTGL51RTJ4UIT1EUSJIQ+wAAUF9aD5PBRKXkL4syYACcDbEatS4X+fxotEOKsgxu1oO4pqYGVquVTslfLWfNSpmzrAuy3IqoxunQs4/Owh/yo6Es1i/cUe2AMc+YlhRVTw+5dTZsSO31TSyLS6OjuomXz0F1WPr44+yc72Xi8GEyPFZRkZXTibIMBUjaj6pSVUXaPD/9NPVzSG4JzlonjLbYx1lDaQM6BjoQimh7aI+MnEc4LINlZ5ndcxyptlHY7Ljdbuzduxf5+flTPyu121FhtxODEI1cu0Zam1yz3gLLswjcCGD8ofbeWnevG1UrqsDYp9dBm20Z8vK2QJIoBPPPnhEHyFlvgud53L9/H/d0kAQDSAJo+3b6MwwqqkWq5qx/dTWpcF65QufCXhIWgtREdHcDu3eTEeUMeeh7iDvDd2J2ljS5epU0w+sdpO7ZsweFhYWxv3C5yAU8eaLp+IHATQSDj8CysW/CmePErpW7qASpkiChYHsBrIusMT/nefL5ab2n+8bGcG9sDPysIDUvLw/79++nU4oSBLJhWr485scMwyMS8WJkRJtxQEtfC5gcBtuWxjqrGa1GMHVMWsNTPT0kDkr11uEnAxgxW9nURYtIgPFFK/l7vWRo7P33s3ZKtyRhS14elqVohlJZSb43qZb8I4EIvCe9Mf2oKo1ljRgNjqLnkbZ7Q5LcMJkcKCiY1b+ibhg1ptiCwSDa29un+lFnwjMMlfvC7SZDjLOt7pkGBjBAc8l/Sgs8zuwFy/KQZUF7plNdR2c98Gpra2E2m3Ut+fM8vYRGPBpKG7RnUisrifLOacpqCp8xC0FqPBSF/KE1Sk+pX7raNbUULmougkCG7TVeZkJCoRDa2tpi+qSm4DiSUdW4MEiSAIPBBodj/5zf8WU8WvpaNGnIKVEFskj6UWdTXU0+P61rmyjLMAGoi1PS5HkeHR0dmNAyZBavVjdJYeFOmM2M5kxFS18LyV4b50aWjIuBt8uL8Ghqf4dUh6ZUllit2Jafn72+VICUu0+e1K/R7GXk3/6NDDt+5StZOZ2iKBBkOeUsKkACqS1bUh+e8pzwQAkqYFxz773KZZVw5jg1Z6hIpacBxtnqLMuWkd5UjQtId3c3/H5/3HWWp2R4IQhAbS2QkxP7c0uRBQU7CjJS8JjJ+cfnIY/LcWcvGIZHMPgEfv91TeeA2016tJYsiflxQUEBqqurIdIaMIgDzxN1J518A1BfWo+bL27i8cjjzA9is5GU7yvWl7oQpMajt5d8IzVGf639rdhavBWL8xZTurBY1IVHo2NrQnp6euDz+eIHqYsXk52bxlK2LAtwOvfDZJqrVeSqcME74cW5Rxlo0kwyemUUoeehKTmlmdhs5PPTWo0XJIlIxsQRKne5XAgEAjilxTng1i3g0aO403EGgwkM06jJIlVVoFD1UWfD8iyUkAJPR/LeuMePSdyXrh28i2UhSBKiOvWVzeHLXyZZh1/+Mjvnexk4fJgMja1cmZXTXfX78TQYTCtIBdIbnpLcEmyrbMhdnzvndyajCfWl9Zr6UsNhL3y+M3NL/Sqqlp2G760gCFi8eDHemFTtmEmd0wkTtFUZAgGyH0tUcWN4BpIopTUcORtVC3zXyrmN6A7HPhiNOZBlDUFkNEo+5zjZZoAkA1SpRD3Ys4dOQiMR9aX1AECnL3UhSP0CcH5SWFcV7ssARVHQ1t+mW6k/2cJDA0EQwDAMtieyDdLY1BmNTsDj6ZjTj6qyY/kOOHOcmqb8ZUGGMc8Ixx5H3N+7XESkYDRD34BwNIo2jwdcggfxli1bsHTpUm19qYJAAqqamri/ZhgePl8PQqHMsiGd9zsRUSIJg1T7Wjty1uRAdic/vqpxma6RkYthMBQK4Uqmf4h0KSwEDh364pT8nz8nZeksDUwBpNSfazRinyP+vZeIXbvINHUqOvayIIN1sVOqHbNpLG3EmYdnMDKRmSi+LLcBiCRco8BxZGd282ZGxwfIOstxHIxxhK4LzWbscTg09aV2dpIEeqJnBcuzCA+HMXop83tP6BPQUNoQVwvcZLLD4ajRpkJy5Qr5Did4EzzPY2RkBGfT1S9LEasVqKvTL0hdnLcYW4q3aA9Sd+wgjpCvkKj/QpAajwsXgJISTSPzd6W7eOh7OLVDok1nJ5F71DtIbWxshClRcyHHaaqBeL2nEI2OzelHVTEbzagvrYfYl/kOXBLjD1WocBwZhjx5MrPjnx8ZgSccntOPqmIwGNDY2KitFCUIJAOWOzdbBGDy84vC48lsgWvpa8Fqx2qUM/EVKKamgMXk2ZyzZ0kVdMWK9K6h2uFAntFIZUgkZT74gGxI797N3jk/K9QhMXVoLAsIkoRapxO2NF1GqqpIYvJ8EhOe8YfjCNwMxK2SqDSWNSIcDaPzfmda16AiywLs9rWw29fEf8H+/aQkk2H08uLFC1y8eDF+tWoSnmHQKssIZ5gMEARyPyYaZCzcXUiGI1O4v+Phm/Dh9ODpeQeEWZaHx3MCkUiGA1qCQNa/BGo7lZWVYFlW977Uri4i06oH9Wvq0drfqq13d8cO8v8LF+hc1EvAQpAajwsXpv/YGdLa1wqz0Yya1fGzX1oRBGDVKmD9el0OD4/Hg56ennkXz6kaSIYBmCyLsFiKkZeXWFScK+Nw9uFZeMfTF3ufGqrgE5cb168n1c9MY0hBluEwmbBzHqFyjuNw6dIlPM9kCnhighgnzCOEm5NTArt9HSQpszfR2t+KhtKGhNkogLhPjd0ew/jg/A+Znh6SCUtXgtNqNKKOYSBkU4rq0CEiQ/BFKPn/4hdAYyNp08kCgUgEJ73eqaG4dHjtNaCgIHnJX1XtYBoSB6kVbAVWFa5Ca39mYu+SJIJh5lFnyc0lgWqGwVFrKwlKGhvjVzEAIkXli0RwLkOLVFGcHiGIRybDkTPpGOhARImAK0/8OTEMj2h0DD5fhm1Pojhvb5vJZEJjY6PuQWooRBJEetBQ1oAH3gfolXszP0h5OeBwLASprzTRKNGjTFTiTpG2gTZUrahCgW1+l5VMUXXd9dLjbmtrQzQajdVHnY3NBhw4kHGEJ0kCWJaDwZD4a8iVcYgoEZy4fyLt43s6J4cq4gxNqahGCBkHqZNWqOZ5skXqAygjV5TTp0lvR5KUOcNwGfV8PR19ik+HPk1Y6p86fn3yKeBolJT70+1HVeEZBl1eL/wRejaN82K3k97Uw4c19RS+9Dx8SEoFWSz1d3o8CCpKwgrDfJhMJEeQrHIrizIKthfAUmRJ+BqDwYDGssaMhqfGxvoxPt47f5AKkHszQwc+URSxceNGrJin9LCjoABOszmjKsOTJ0TOK5nZC8OT4chMLFLFXhFrnGsSVmIAIC9vE6zWpZkNeKrGMUneBM/zOHfuHCSdNrrr1pHEkF5xcM3qGpgMJrT2aXDPMhjIrMhCkPoK09tLpFo0BKlRJYr2/nbd+lEfPSKOPnqX+tevX4/Vq1fP/0KOIwtImtOnweBzjI5eTNzrNUk5W45SZynE3vQDMFmQEw5VzITjyEKerpqWNxzGGZ8vabZo+fLleP311zMr+QsCyX5t3Trvy1iWw/h4H8bG+tI6vLogJmtLsbBkCng+4e/btwGfT0OQyrIIKgo6dfLhjsv775MGyGvXsnfObPPLX5Kmui9/OWunFGQZK202vJagRSUZyYanplQ75in1qzSWNeLa0DU8HU3PA5ls+kxgmLr5X8hxZP1Lc2BFURSIojh/IgDEIrXB6cyoyqCqY82TqAUwYzgyA4tUVQt8vkqMwWCY3EhnEOGdPEk2AEk+J47jEI1G0damsa8zAao8uF5BaqGtEFUrqtA2oPH6t29P3ivzOWIhSJ2NugPREKReeXoFw2PDuvWjiiK5YRr0iYGnfKTnLfWrcBxZQNJs6lQdSFRHknlPUcZl1JcqCRIYjpl38QSmP8d05Q47PB5EgDki/vHgOA6iKKbfbySK5AmTpK/P6awFsUhN73Nq6W/BluItKM4vTvpahmfgafUknALu6SHfy0w7ZdbZ7Six2bLbl8pxAMu+2gNUv/gF8OabpAyYJQRJAs8kv/cSsWsX2Yw/ehT/96NXRhF6EZq3SqKiJgvSHUqRJAGFhbtgNif53LZsIbJIaUYvd+7cwYMHD1JaZ3mWxdkMLFJFkexvZ6k2zcG+zg5biS1t96lB7yBuD99OybCGYfhJi9RnaZ0Dokj0oTdunPdlJSUleO2113Qv+etpkVpfWo+2/jZEFQ2CrNu3v1LDU2kFqRMTE/jud7+L5cuXIzc3F7t370ZLCk/2zs5OvPPOOygpKYHdbkdxcTEaGhpw/PjxjC9cNygMTbX1t8FutmPPSn0ETAWBfA/1tEKd7SOdkI0byQKSZpaQWKFuibFCTQRXzuH28G0MegdTPv7EowkErgfm7UdVWbIEeOON9Ev+giShPCcHZfa58lmz4TgOg4ODuHPnTuonePGCfB9T+DuYzY5Ji9TUF2hFUdDS1zLHCjURLMci9CKE0cvxp4DPniX9hJnGQgaDAfykFFXWsFrJMNHhw/opdX+W3L1LsipZLPU/mpjA9UAgo35UFTUbnyibKosyjLmJVTtmUpxfjM1LNqdV8leUCDyetuSlfiBji1RRFGGxWHDgwIGkr83EIlVRyMY7WakfIPcey7Np96WKfSIMMKSUkMnYIlXdqKew4eF5HoJAwTggAapFql6SrA2lDXgReIFrzzRUdl6x4am0gtQ/+IM/wE9+8hN89atfxV/91V/BZDLhzTffTKoBeffuXZjNZvzRH/0R/vZv/xbf+c53IEkSDh06hH/5l3/R9AaoQ2Noqr8V+0r2wWamL2AajZKFR+9S/2wf6YQYDGQBSWOBVq1QE031z6a+tB4GGNLKpkqiFNcKNREcRz7XdNY2QZZTfhAfOHAAFoslvZJ/ayu5oFSeMlAnaNugKKn1ld0ZvoOHvodJ+1FVCveQKeBEfak9PZmX+lV4hsGNQAAPx7XbNKbM7/8+MDBA+gpfNf7P/wGcTuCtt7J2SlGSYADQ4Ezt3ovHihVk7ztfkOo8kFi1YzZqX2qqwcvIyIVJK9QULa15Pm2LVFEUUV1djby8vKSvLbXbsTZNi9Tr10kLU6rPCoZnELiZnkWq2Cdi+/LtKMotSvpam20p8vK2pjfg+ewZkZ9KcQ1ULVLv6qTYUVREwgO9krV7Vu1BjjlHmxTVKzY8lXKQ2tPTg1/+8pf4y7/8S/zoRz/CN77xDbS1tWH16tX4zne+M++//frXv45f//rX+N73voevfe1r+Pa3v43u7m4UFxfjZz/7meY3QQ0KQ1PBSBCd9zt1K/UnkYujgiAIqK6ujvGRnheeJxapz1Ir4wQCNxAMPk4tSwGAtbPYsXxHWkGqOlQx2wo1ERxHFvTrKZqi9CewQk1EXl5e+q4oggC8/nrKek4MwyEc9mBkJLV+pJa+FpiNZuxfPdftKx5GqxHOA864UjWqZXS6+qizaWAYGEBcvLJGdTWRefjww+ydMxuEw8A//APwn/4TGRLLEoIsY3tBARZZU7v3ErFrV/zhqchYBJ6TnpT6UVUaShsw6BvEXSm14EWWRZhMBXOtUBPR2Eg2lCkOR4ZCIbS3tyftR50Jl6ZFqiiS2dZ9+1J7fboWqVElipa+lpRK/SppW6Sm2lQ7iZoM+LxapOaYc7B31d6M1SgAvHLDUykHqR9//DHMZjP+8A//cOpnNpsNX//613H69Gk8StQ8lAC73Y5FixbBYkk8mZl1KAxNnXt0Dv6QX7ehqc/UCjUR6gKSYlPnfFaoieDKOLT0taTUeI1OVAAAIABJREFUqzOfFWoi9u0jC3qqMeR8VqiJ4Hke7e3tqbmiKMq0dkyKFBRUwWQqTDlT0dLfgj0r9yDfmuJmBESKytvlRWQsNlt7+TKJibRmUlmLBTsLCrLbl2owAN/4BvDrXwPZbDXQm2PHgKdPyXvLElFFgSjLGU31z6aqinQqzBZ78J70QplQUmrlUalZXQOz0ZxyyV+SRDiddTAaU3w+LV8ObNqUcoqtp6cHIyMjaQWp6VqkiiJRx0p1f6IOR6Za8r/y9ApeBF6kFaSmbZEqiqTnd+nSlF6en5+PvXv36m6ROjxMEud60FDagBP3TyAU0eCe9QoNT6UcpF66dAnr1q2bk13bOenKdDkFQXefz4cXL17g1q1b+P73v487d+7g29/+dpqXrCMUhqZa+1vhsDlQuayS0kXFIgjE+UJjkiIhZ8+eTXvxRHExWUhSXBiIFWpNXCvURHDlHF4EXuDK0ytJX6taoabzELPbyYKe6tomSBJ2JbBCTQTHcam7oty+DQwOppUyNxrNcDrrUhqeCkfDaO9vT7nUr8JyLJQJBd6Tsbq1PT0kyN+yJa3DxYVnWYjZtEgFSMk/EgFetvYjLXz4IVnL4tht6sXl0VG8CIU09aOq7NpFXKdu3479uSzKsC63Indj6soBBbYC7F65O6UgNRwehc/XnXKlZ4o0LFJFUZzfzS8O6VikTkwAJ06ktccFkJ5FqtgnIteSi+pV8QX24zFtkZpCMJ/BRh0g66yeFqm7dxN5Zd36UssaMBocxbnHmduBv0rDUykHqU+ePMGyZXOHXNSfPX78OOkxfvd3fxdLlizBxo0b8dd//df41a9+hYMHD6ZxuTpDYWiqtb8VtWtqYTImcGnSgN+fklycJgRBAMuyqKxMM8hWxUaTLNCRyDg8nhNJpadms2flHuRaclMq+atWqIV7CtM6B8eRhT2Z3GE4GkWrx5P2g7iyshIMw6S2y09ihZoIluXg851GODy/xeHFJxfhnfCmHaTmbsyFdbl1zhTw2bOkwkSjMMIzDIbDYVzKlkUqQKbn3nkH+Lu/ezU0Ux89Ao4eBb7+9ayeVpAk5BmN2FOY3r0Xj+3bSZJ79p5OEiUwjekrBzSWNqJ9oB2R6Pw9217vCShKKPV+VBWeJ5/7rVtJXyqKIurr6xO7+cUhHYtUVV453WdFOhapYp+ImtU1ac1emEw5cDgOpDbgefMmsZxN803wPI/R0VGcOXMmrX+XKlYr8RXQq6OgclklCm2F2vpSX6HhqZSD1LGxMdjiuD3k5ORM/T4ZP/rRjyCKIv7+7/8eGzduxPvvv69rWj5tNA5NBUIBnB48rVup/6WwQk1Eih7WPt/8VqiJsJltOLD6QEpBqiRMWqFa01NY4ziysJ8+Pf/rklmhJsJkMqGhoSG177woAnv3kt6ONGAYDooSgtc7v/lBS18LCqwF2Ll8Z1rHNxgMYDhmTt8ajaEpld2Fhcg3mbI75Q+Qsvi1a69Gmez//l+S2s7iVD9A+lHrGAbWNK1Q41FYSKw8Zw5PBZ8F4b/iT6sfVaWxrBGecQ8uPrk47+skSYTNRlzc0mL/fhLBJIlevF4vzp49m161apJULVJFMSV55TkU7i6EKd+UVIpqLDSGk/dPplXqV2FZHl5vChapokg+z/2pt4UBwLZt21BUVPS5tUg1G82oXVOrrS/1FRqeSnklsdvtmIiTYhqfnMK1p9D4snXrVjQ0NOBrX/saurq6UFFRgT/+4z9O+u++9a1v4Z133on57/Dhw6leempQGJrqetCFUDSEhjL9+lH1tEKVJAnnzp1Lrx9VJcUFWpKSW6EmgivjcPL+SYyFEm+IIv4IvF3zW6EmYutWsrAniyFTsUJNBMdx6Onpgdc7j81rMAi0t2e0G7Hb18JmK0nal9rS14LaNbWwmNJPfbIcC/9VP4LPggBIRam3V/vQlIrFaES905ndvlSAfN4rVwJ///fZPS9tolEy1f/ee2SyP0v4IxF0eb1U+lFVZg9PyS3kO8E0pn+OqhVVyLfmJy35yzKxQk1b4zVFi9SOjg5EIpHMglSWTckiVRSJXFK6ewWj1QhnnTNpX2rXgy5MRCYyClKJReo4vN6u+V8oCGRYIE1DiGxapJ5I3wgxJRpKG9A92I1AKJDZAXQenjp8+PCcmOxb3/qWLudK+Su8bNmyuCX9J5M2PcuXL0/rxBaLBW+//Tbu3bsHTxLtt5/85Cf4zW9+E/PfB7QzBBSGplr7WrE0fyk2LNpA8cKmEQRyc3ymVqiJUBfoJBGeLBPpqUxEvrlyDhORCXQ9SLy4pWKFmgijkSzsyYJUUZZRn8QKNREcxyESiaC9vT3xi06fJlv0DILUaWeXxG8iEArg1OCpjDP+aoCgBgznJlunaGVSAfIwPuX1YjQcpnfQZJhMwH/+z8C//qs+KZJsceIEWc+yODAFACc8HoQUhUo/qkpVFREOUQt1kighb0sebEvTl/ezmCyoXVM7bzVmYuIRAoEb6Zf6VVKwSBVFEWVlZSgrK0v78KlYpEoSKQZk2hbG8Ay8p7wIjya+98Q+EUvzl2LTkk1pHz8v73VYrcvm750PBsn3OMOyYTYsUktK9Cv515fWIxgJonswPRezGHQcnvrggw/mxGQ/+clPdDlXyk/Zbdu24c6dOxiZtYNTh0DeyKA5X20RMFIoDWmGwtBU20Ab0fTUIYp8+JA4Xehd6n/ttddQUlKS2QHUps5gMO6vg8EhjI5eSrsfVeX1xa9jWf6yeR8yqVqhJoLjyH2daG3zhcM47fWm5DIVj9LSUpSXl89f8hdF0hed4cALy3IIBG5gfDy+LUrn/U4EI0Fw5Zk9xazFVuRtyZuSourpIfqBGTxzE8IzDEKKghPzZZz14GtfA0ZHgY8+yu55afLhh+Qpmqr2ECUESUKJzYZ1FOWudu0i82yXLhF95VStUBPRWNqIU4OnEmaoiNC8AU5nhtUwnic9Q/NYpKZihZoIk8GABqcT7nmCr7a2tOSV56BapHpPJL73xD4RjWWNGT3ryEaahyS5E79I3ahn+CY4jiNmJenaCKaI3hapry9+HcV5xVO21RnxigxPpRwdvvvuu4hEIjG6phMTE/j5z3+O3bt3Y8WkluPTp09x69YthGdkQIaGhuYcz+Px4JNPPsHmzZtRSKHJXjMah6bkMRkXHl/QrR81G1aogiBkvHgCIAuK35+wqVPdOadihRoPg8GAxrLGeYPUVK1QE8FxZIFPZP/cPmmF6tKQLVItUhPidpMLyXDzRh6whoTOLmKviOUFyzVl/NW+VEVRcPYsyXjR3JtV2O1Yk5OT/b7UNWuIpNrnVTNVloFPPiEDU3qVXBKgmlvQ3KRv2gTk5JCSf+BmAMHHQbCchnuvnJvSso6HJInIz98GqzXD4dkkFqn379/HnTt3MmupmoRnWfTMY5EqiqQlbNWqzI5vX2uHbXVii9Qh/xAuP72cUalfhWV5+P1XElukatyor1q1Chs2bNBdiurmTSLCQhuDgbh4aepLfUWGp1J+ClZVVeG9997D9773PXz3u9/Fz372M9TX1+PBgwf48Y9/PPW6P//zP8fGjRtjWgMOHjyIL3/5y/jhD3+IDz/8EH/xF3+BzZs3Y2hoSLcUcdpoHJrqGOiAAkVXfdQdO0jGSg/u3LmD+/fvw+VyZX6QN94gC0uChUGSBOTlbYXNlprmXTy4Mg6Xn17GkH/uxmf84TgCNwJgXZk/xNSe30Rrm1uSUGG3p2SFmgiO43D37l3cv39/7i/TsEJNhNW6CPn5lQnLaS39RIBbSzDB8iyCj4PwXw9QHZpSMRgM4Bkm+32pACmTnzqV0pT2S8e//AtJPf7+72f1tIPj47gZCFDtRwWIWkRlJcnWy6IMg9UAx/4MfXcBbFi0AcsLlsftS1WUKGS5JX3pqZkksUgVRRFGoxH19ZmbvfCTFqltCdrkMlBtiiGZRaqa3UtXGWQmaqIiYe98pk21M+B5Hm63W1eLVKNRX4vUC08uwDOeuhVuDK/I8FRa34B//Md/xJ/+6Z/in/7pn/Anf/IniEQiOHLkCPbNKCsZDIY5D7+vf/3rkCQJP/3pT/HNb34Tf/d3f4fdu3eju7tb081KDUXRPDTV1t+GMqYMq52rKV4YIRIhN4KW+DEZaVmhJmKepk5FUab6UbWgLozxyiCyIAOGSecUDahqWvEQJEnzg7i+vh5GozH+Lj9NK9REsCwHWW6BMsv84NnoM1x9dlVTFgQAHPsdMNgMuPcLCcPD9IamZsKzLG4FAniQTYtUAPjSl8hu8PM2QKUoRELr7bdTFj+nhSjLxAqVcpAKTA9PSYIEx34HTLmZy/sZDAZwZVzcaozffw2h0LPM+1FVeJ48T+JYpIqiiJ07d8KpYaBtjd2OdXZ73CpDby/Q369dppDhGQRuBTD+YO69J/aJeH3x61hekN4cykys1iXIz98GWY5T8tfaVDuJy+XC4OAgbs8W2qUEywI7d5LClx7Ul9YjqkRxYiDD6axXxHkqrSDVZrPhxz/+MR4/foyxsTGcOXNmTnn45z//OSKRSExf4ze/+U10dnZiaGgIwWAQT548wUcffZS+FqdeUBiaahto0y2LeukScbjQsx/V7XZj3759KflIzwvHkUmaWQuo338NweBTsKy2SHtZwTJsWrIp7kNGEiQU7CyApUibWCfHkYW+tzf2571jY+gdH9c8GOJ0OrFz5874QWqaVqiJYBgOodAQ/P5rMT9XM0hasiAAYLKb4NjnwNOjJNuyMz0lq5SodzphRJYtUgEi3fTVrxIZpwT91S8lFy6QKaMsa6MCZPO2s6AArA4OglVVwGB/FJ4Oj6ZSvwpXxuHqs6t4NhpbapYkEUajHYWFezWeYPKZOKsfMhqNorW1VVtL1SQ8y8Ity3OyhKJI5v+05BqAyY2+EXNK/oqiQOwTNW9yAYBlXZAkcc5GGm1tRKFC4+dUU1MDq9UKt15RJMgzuaVlrisaDUqZUpQ6S7WV/Ldv/2IFqa8s6gRchkHq09GnuPH8BupL9ckKu91AQQFxutCDiYkJtLe3ayv1qyRo6pQkgc4DAJjKhMxcoJUIGarIRHpqNrW1ZKGfHUOKkgSzwYA6CrI+HMehtbUV0Zl6h4oyLeGgEYdjL4xG+5xymtgnYkvxFhTnF2s+B8uxMF/3YG1pVIv/RUIYiwVVhYXZ70sFSKD3/Dnw299m/9yZ8uGHZHOjZ8klDhHVCpXiVP9Mdu0CXocP0UBU09CUirpBm13yl2URDkcNTKYcbSdYtgzYvHlOyf/SpUsYHh6mE6QyDAbiWKSKInlOaB3zsDAWFFYVzin53x6+jYe+hxkPXc6EYXiEQs8wOno19heiOD0+r4G8vDzs379f9yBVkvSLA+tL69E+MI8STDK2bwfu3/9cD08tBKmA5qGp9n7yJapbU0fzqqYQBKC+no6bTzy6u7sRCAQ0NfNPUVISt6lTlt1wOmu1PwBAgtSHvoe4PTxdxhm5OIKwFAbj0v4QKywkC/3sINUty9hTWIjCNKxQE8FxHIaHh3FppgH0zZtExoFCkGE02uBw1MT0pdLMggBkeMociuLLa31UjhcPnmHQIsuIZNsFatMm8iX4vJT8/X7g8GGiTkDh+5kOl0ZGIGVgbpEqa9YAB/IkBO0W5L+Rn/T1ySjOL8aW4i0x1ZhIZBxeb6f2Ur9KHItUURSRl5eH3RSyDXVOJywGA9wzqgyRCMkN0HIkZHgGcosMJTLjPfSKsBgtOLD6gObjOxzVMBpz51qkiiK1siHP8+jo6Iir8U6DXbvI80JPKapPhz6dk/VPmVdgeGohSAU0D0219bcRyQgK2anZjIwQNRO9paeWLFmCrenakyRiVlNnJBKAx3MyY+mp2dSsroHFaInJhMiCDFOBCYW76ChFcBxZ8NUyTigaRZssU3sQ7969G3l5ebElf0EgpeY0HVYSwbIcvN7OKWeXmy9u4vHIY82l/ikq8uGBBbtM+mU6eZaFFA7jYhLxcl34xjeA5ua5fR8vI//6r4DPR4LULCPIMgpMJuzWSaXFYAD2WGXcznPCYKSjHNBY2hhTjSFOeOPahqZm4nIRB77r16d+JIoiamtrYbVaNR8+32xG9awqw/nzgMdDL0hlXSzCchgj56fvvZb+FlSvqkaeVWNbGMhG2umsi5WiotVUO4nL5cLY2Bi6upIYB2SIxUISSHola9XEV8dAR2YHeAWGpxaCVBpDU5P6qHrQ3g6Ew/pW8NxuNziOo6dXqzZ13rsHAPB4OqEoE5qHplTyrHnYW7IXQu/09lUSJDjrnTBa6LwHnicLvipU3zMyAl8kQq2kabVaUVdXF+uKIggkQE3TYSURDMPFOLuIvSKsJitqVtdQOf658wZcAIPiQf16RqsKClBoMqH5syj5/97vETmhH/0o++dOh3CYXON//I90xWpTRJAkktnTSe86JIVQ7BlBi4el1iLMlXN4PPIYN18QG2ctTnhx2bePaGdN3t+BQABdXV1USv0qPMuizeNBaLJlSBRJVo+W0kZBVQFMhdMWqaFICO397dQqMYBqkdqFSGTSPEMUSSVAa1PtJJs3b0ZxcbGu7lMuF1Fd9OlQUFpWsAwbFm1AW38CTcRkvALDUwtBqsahqQHPAPrkPt2CVEEgz53ycl0Oj6GhIVy6dIlOP6pKXR1ZaCYXBlkWYLOtRG4uPScuvoxH+0A7gpEgwr4wfN0+TdJTs9m5k2xA1bXNLUlgzWZsz8AKNRE8z+PUqVPw+/3Eoaajg2rKPC9vM6zWpVPlNLFPxN5Ve5FroRMEnzoF3LAzCF8fQWg4vmajVixGIxoZZl7xct2w24E/+zPgH/6BtGG8rPzqV2Qd+/73s35qXziMUz4fDurUjwoAcqsMgwKcDjO4eJHOMWtW18BqskLsJZUMWXaDZbXJssVgtwM1NVMLyIkTJxAMBqmuszzDYDQSwenJ6MjtJuIqtLo9jGYjmAYGkpvce2censFIcASuCnrvgWVdUJQgPJ7JCXa3G9izR3tT7SRGo3FKikoveH661UIP6kvr0Tag4eCf8+GphSBV49BUe387DDBQ6dGJh9utb6lfLTfT3OGjoACorp5aoCXJDYbJzAo1EXw5j9HgKM48PANPhwdKWKEyNKViNpMFXw1SBUlCI8PARPM98DyCwSBOnDhBIr6xMaop82lnFwHBSBAdAx1UsyBdXYB5NwMoJJDQCxfL4rTPBzmBeLmu/NEfAfn5wP/4H9k/dypEo8APfwg0NWmqBmVKmywjrCiazC2SIQsy7K/lwp+bA1pV21xLLvau2guxT0Qw+Ayjo5fBMJTLVTxPHPjGxyEIAlatWoX169dTO3xlQQGKzGYIkgSfj2TzaD8rWBcL3xkfwt4whF4BRfYibFu6jdrx7fZ1sNlKIEkCEAqRSI/ym+B5HleuXMHTp0+pHldFTSLp2Zd6T7qHQW+GrgGf8+GphSBV49BU20AbKpdVgrHTHxro6yMVc731Ubdu3YqltHUVeR5oa8P4SP+kFzbdN7Ft2TYsyl0EoVeA5JaQU5YDezk9O0aAfO5nzgADL0I4NzJCfXp53bp1KCkpIaUotxsoLiZTwRRRnV1ODxyFP+SnMpULkMzB6dPAG1wOcl/Pncq26IGLZREF0PpZCPsXFAD/9b8S/dE4znmfOb/5Del7/O///TM5fbMkYZ3djlKKVqgzURQFkltCUROLXbvIXo4WXBmHjoEOPB8+DgD0hqZUeB4YHwdOnoQgCOB5uht1o8EAjmUhyDLa28k9SftZwfAMEAHkNhlCnwCunIPJmLlO7WwMBgNYlifVnp4eUjOnHKSqCRg93adcLv2C1AOrD8AAQ+ZT/p/z4amFIFXD0JSiKGjr168fVdW8q9NHNGDKCpXKVP9sXC5gZASjrT8DYADD0NWQNRqM4Mo4uHvdkAWZaqlfhePIwv83R/yIAtSnlw0GA1wuFylFqdJTlK0s1UGQT+//A1g7Sy0Lcu0aGerbu5e4T0luSTdnl9U5OdiQm/vZ9KUCJEg1mYCXxR1PRVGAH/wAOHCA/CGyfnoFzZKEJh2zqIFbAUwMToDhGezdS4JUWl8zrpyDP+TH3UeHkZ//BqxWyoOvmzYBy5Zh8OOPcePGDbotVZPwDIPzIyP49+MRVFQApaV0j28vtcNeYUef2Idzj86BL6P/rGAYFwKBmwgf/Ygo5FOuCBQXF+ONN97QtS+V50nHjR4zlkW5Rdi6dGvmfamf8+GpL3aQqnFo6s7wHTweeayrPuqePeT7pQfXrl3D06dPdVk8sW0bUFQEpfk3KCjYCYuFvp8rX87jwuMLePr4KdnxU6a0FFi7FjjiBjbk5mJVjnb5rNnwPI9bt27hweXLuvR1qM4uQX83GkobqGVBTp0ik607d5KSYPBREIGbASrHjkcTy6JZ0i8QnheWJWX/v/kb4LPI5iZCFEm70n/7b5/J6W8HArg/MaFrkCoLxArVecCJffuIdO3du3SOvW3pNhTZGUyMnKKmPBKDwQDwPMRjx2A0GtHQQN/shWMYKACOuRXd2sIYFwPxlggFCrVKTMzxmXoARkTdvwUaG8mGkDIulwuCIMTqUlNk1hgGderX1KOtvy2z9e9zPjz1xQ5SNQ5NtQ+0w2w0Y1/JvuQvTpNwmDhk6u0yZbfbsVePLIzJBKWxATmdt6lN9c+GK+OgQMGF8gtg6vXRaOQ4Bfc6c3TTgGxoaIDRYIBATqbLOXILD2CN7QU4io5op06R28Zun7ZI1bPk38SyeBQM4rrfr9s55uXP/oy4T/2v//XZnD8eP/gB2SU0UpIUS5NmSYLNYMABCuYWiZDc01aou3eT5y2tvlST0YT3KnbAZvBTb0eagufhfvgQO994A6wOwfzKnByslRg8GzDr9qxgeRanC05jg2MDVhaupH58i4WFM7oNlst9uj3weJ7H0NAQrl69mvzFGVBYSBJKelqkDvoG0StnmKr9HA9PfbGDVHVUNEN71rb+NlStqEK+VbvA9GzOniXtOXr3o9bW1iJHhwwhAIzXrEf+rQhYRQdjdwArClegYqwCV3dfhblQHwHzTXVBhB/nYLNHB0slAAzDoKqoCILTSXpSdaB3jAFjBWqW03vAdHVNV5hNuSY4a5xz3GloUuNwwG40fnYl/6VLiW7qT38KjI5+Ntcwk64uoLOTZFEpt4ikSrMk4YDTiVwdMl8AEJ2YtEKdbOVxOIAtW+j2pTYsLcBYBFBsr9M76AwidXVoAcCvWqXL8QFg1bVlgCmK2lp9qgyOAw6cLz+PvUH9WkqW3SyFIQoonD7W4nv37kVubq6uU/4uF5n70mO+c//q/TAZTJmX/NXhqeFhuheWBb7YQeqVK8Dy5cDixWn/06gSRftAO+rX6Cc9xTD6DewGAgGcPHlSn37USYYrx2FQgIIefRyJouEoKq9XomdFj25l4JFNLwBTFL6zOvVcKAr4sTG0jI8joocBNAD3w0cYjxhgD39K5XiDg+S/fTMKCKyLheeEB5Fxfd5DjsmEWqfzswtSAeA73yE7x//9vz+7a1D5wQ9Iz+Pbb38mpx+LRHDC69W11O/t8iI6Fo3pN1f7Ummx0voMVzzAifvd9A46g4sPH0ICwAf0a4UZ63ECr/vwyKzPOXpDvRhyDKHyWmbJnFRgeibgXw2MODN0VkqCzWZDbW2t7n2pIyNk2JY2hbZC7FyxM/MgVTXq0SmTrCcLQWqGLkufDn2KF4EXuuqj6tSeAwDo7OzExMSEPv2okzy3ncV4eQGMYqsuxx85O4LtN7fjCZ5MiXLTpjM4DOfWAE606HSrXLsGl98PeXwc51U5NMq4+9ogKZMyLxRQg4Tq6umfMTyD6FgU3i4vlXPEo4llcdLrhV+nYD4pJSXAV78K/M//Saa2PysuXCBOWN//PqCTgH4yOr1ejEejugapkiDButSKvM3T7kb79gG3b5PeVK1EIgFM+M9hYGJRjEUqTdxuNwqtVuy6fJnIhVEmFAKud1lg2iHHuE/RxH3PDSusqDhagWhIh55ORYGl4wo8O63U1qh4uFwudHV1EV1qHaisJO3revaltg+0Z5aQWbuWmEtcuUL/wnRmIUjNMEht62+DzWTDnlV7KF8Umc3o6dHfZWrlypV47bXXdDl+OOyDz9eNcP3OOR7WtJAECZW+SthMthj3KVpMRKNo93iwqyGsWxkHgoCqnBw4HA5ddvkDngHck+7ByTTGOrtooKsLWLeOmDGp5G3Kg3WZFbJbv5J/E8siqCjo8Hh0O0dS/vzPiRTVz3/+2V3DD38IVFQAv/u7n9klNEsSSmw2vEbJHS0eklsCwzMxsk1qi0k3hcSnx3MCihKEw9moW5AqCALqd+6E5flzXbJYpC3MgMr6EASdhvqEPgF7ivbAIlvgO6NDVez2bRgePECofnusRSplVF3qjo4OXY5vMpGxAt0sUkvrMOQfwo3nN9L/x2YzqbwsBKmfIySJuMhs2ZLRP2/rb8Pekr3IMdPv52xtJZtuPYemBEGAy+Wiqts3E4+nA4oShuX/Z+/Ng9pK8yzRc7UCEmgFjHcwxvua3jdsdoTNkosh06+Xquru9yZ65nVXTERVd8wf0xUxHd1VMxFV09U9Ma+iu6qnqpy2M10JskFi926nl3R6N7bBxnhhk65AIAmt9/3xIcwi4F7pfk470yeCyEghvqtrSff+vt85v3NKDpF/57Y20Y/haHQgbW8adi/aTaVIvTQ4CHcohD8qkVOjcdDYCNm+fcjNzaVSpDZ1NEHCSLAx4/+emOwSAy5cmOp4xDAMdAW6sQhFGlgaH4/FcXHfLOWflQV89BGJIf0mwgXu3QO++IIUy7RoFh6oZ1kU6vXUrh/eHi9cN11TAjoWLgQWLBBneIok4S3AtsUfoZ1tR+dAZ+yLjoPT6cSlS5dQWFVFoo4pfL8bG0n37oMdcTg9MACvyN1ab8BnoSrwAAAgAElEQVSL052nUbyuGDKDjI7uvLERUCigyKuE0/klAgE6bMyyZcte+VJTQkEBMdygIf3csWAHFFJF9JT/2rXvitS3CuE3K4pOaiAUwJmnZ6jpURsagBUryMWYBp49e4Z79+5R1aOybAPi4pZAmV8FKJWiby/9Dj+cV0gUauGSQpzuPA1vwCvqMRocDqTI5Ti4MwEGA4V7jMdDhl8KClBQUIBLly5hcFDcC3TT4yZsmbcFqdpNUCoXxdypcDpJQyiSIYS+UA/XLRe83eK+D2EwDDNmRfWN4r/8FyLK/R//4/UeNxQC/tN/AhYtIrKDbwidHg/a3G661lNNpBjS5U911RBLl8qyDdDrC7EvIwcSRjIWkSoWTp06hUAggAKTiWTRUypS8/KAomQ9PKEQzot8/bj47CLcfjeKlhZBl6ej4+DR2Ajs2gXd/FIAQTgcdPJFGYZ5LRGpHEcaTWIjQZ6A7fO3Rx+Rum4dCf74JjbXMeC7XaQqlaQzIhDXu6/D6XVS0aNy3Ctfd1poamoCwzDIo2hd43A0EuuphARg927RL9COFgcQIjexgiUF8AQ8ON8lkjfNKBpZFvk6HeQyBvn5FO4xZ88CXu9YkRoMBnHqVJSpIhEQDAXR8qQF+Rn5E5NdYsCXX5JaaVcE1zVdng5gQHXKv0ivR7vHg3aKgyizYs0aMkT1X//r6+1M/K//RcaH//VfAYXi9R13EhocDkgB5FKyZQMI1a/eoIYiZep57txJulUeT/Trj4w8g9t9HzpdAbRxWmyZt0V0yr+xsRFLlixBRkYGuaCfOweIqIdkWeDqVSILW6NSIVUuF12X2tDRgFRVKtakroG+QI+ha0Pw20Uscrxe4NQpoLAQ8fHpiI/PjPkaNRMKCwvx4MEDPH36lMr68+cDK1fStaI63XkawVAUuvx164iN3oMH4r8wivhuF6mrVxOthkC0PmmFSq7CprnRJVXNhIcPga4u+v6omzdvpuLbBwAez2N4PO2vDLILCoDTp0UdNnE0OpCwPAFxC+OwJmUNUlWpolL+/T4frg8Pj2WSFxSQG4KoNE5jIzBvHrBiBdLT07F06VJRd/nXu6+D9bDIyyCbEZ2uAG53G0ZGuqJe88IFkiAcaW+nSFZAvVFNlfLP0WohYxg0fNOm+n/3d4Tu+OM/Jjda2nj4kBTGf/mX35gvahj1LIsdGg00UVw7+YALcXA0TZ8it2sXaQbFMmdICiHJWBJefkY+mh83R3fznwYNDQ2vBlMLCkiBcCZ2uU0YYVlYfj6JSC3Q69EgcpHa2EGiUCWMhASmcKMNArFw8SLgdo/d8HS6QrBsAzW3ltzcXEgkEuqUP6UxDOSk52BgZAA3em4I/+OwtPEto/y/20VqlENTpzpPYc+iPZBL5SK/KLIDUyhI0iENBINBNDc3U53qZ9kGMIxsNEkE5Fvr8YjmHcNxHNh6FrpC0slhGAYFSwrQ+Fi8C0/4Yp8/2i3Kz6dA49TXkzbIqK6voKBA1ItnfXs9kpRJ2D6fDPeRG7IkpgnasD/qdFJEfYEejkYHuBCdm0yiTIZdGs03T/krlcBvfwvcvw/85Cd0jxUIAH/yJ2RD89Of0j3WLPCFQmhxOKhS/cM3h+Hv80+bIrdmDZCYGJsulWUbR5PwyHkUZRbBMeLA1ZdXo190HDo6OtDR0fFKUrV8OdFvibgJbWycKAsr0Olw0+VCt0ibpj5XH77u+XosCjVufhwSViaAtYr43WtsJBOYowWUXl+AkZEn8HhEihWbBJ1Ohy1btqC+vp7K+gC5pD9/TuTjYmPLvC1IkCdEp0vV6Yio+12R+hbA7yfajCiKVF/Qh3NPz1GznrJagT17AJVq9udGg8uXL4NlWRQXF9M5AACWtSApaSdksiTywNq1xKhepALMddcF7zMvDMWvolYLlxTiRs8N9A6L47NnZVlsVKsxR6kEQGicVatEpPyfPiVXsXHvQ2FhIR4/fowOkQKg6zvqkZ+RP7aZkst1SEraAocjuhul30+miWcKKNMX6uG3+TF8g57hfZFej1aHQ/QhEcFYt450VH/6U+DSJXrH+e//ndh9/Pa39C4MPHHJ6cRQMEg9ClWikkCzM7I3sVRK0n2i3fNyXBAOR9OEJLwt87ZAF6dDfbs4xUtTUxNkMhn27dtHHmAY8l23WERZPywLG99rKNTrwQCibeCaHzcDwIQoVH2xHmw9K94mtKGBNDFGrdS02hwwjAIsaxVn/QgoLi5Gc3Mz/JS0mdnZxO2JRh2skCqwa+EunOqMUha2bt27IvWtwIMHhHqJoki9/PwyPAEPlSLV7SbyHJNJ9KXHYLVaodfrsWXLFirrB4MjcDhaYTCMO4nRDGuxugislYUkXgJN9qubWJjSFkNXFuQ4NLAsiifdiMOnIAqNY7W+8iwZxd69eyGTyUSh/FkPiy+ff4mizKIJj+t0hXA4msFxwmnNmzeJpG6mIjVpexKkain1iFQ3hSGRqPCjHwFbtpBOJw3/xZs3ifb1Rz8ildk3jHqWRYpcjvVq8VP2wmAbWOj26SBRTH972rmTMMXR7FOGhr5CIOCYEIUqk8iQvyQf1nZxiqOGhgZs374dSUlJrx40mYD2dvITIx48mCoLS1YosDkxEVaRitSGjgasS12HOeo5Y48ZTAb4enwYvinCJrSvD/j66wknIZOpodXugd1Or0g1mUxwOp24KIaPWQTExwP79om2H5mCnMU5OPv0LPzBKIrsd0XqW4KwX10U9lOtT1qhi9NhXWp0UoGZcPo0kbdRbHLCYrGgqKgIUkr2NYODZxEKuaHXTzqJggLy5ejpifkYrIWFNkcLadyrc0hVp2L9nPWi6FKvOp2wBwIoNhgmPF5QIKKbltVK7rSaV4V2YmIiduzYIQrl3/y4GSEuhMIlE2Uden0BAoEBOJ3Cac0LFwjLPVMKmkQhgXYf3YjUtSoV5igU3zzlDxBN+//5P+SD8bd/K+7aXi/RvK5YQTq2bwDC1lMSStZTQVcQg+cHp6X6w9i1i/hJ348iw4NlGyCVJiExceJGvWhJEa6+uAqb2yZ80XHw+/1obW2d6p6SkwPI5eS7HyNGXZuwZ8/Ex00GAxpZFoEYWQaO49DY0YiCJRPPQbNLQzahFhG+e82kUzt+ow4Aer0JAwOnEQzSGY7cuHEjUlJSYKFVRYLcw8+dIwlUYiMnPQcuvys6acq6dUBvL/l5S/DdLFJv3iTajCimU1s7W7F38V5IJeIXeRYLkJ4OLFsm+tIAgJ6eHly/fp0y1W+FUjkfKtXqib8IX4jCF6YoEXAGMHh+EAaTYcrvCjIK0NjRGLPo3sqy0Mlk2JqYOOHxPXtIkRZzDen1EnFrhPehsLAQra2tMVNR9e31WJW8Cgs0E33MEhO3QCrVRDVBe+ECsHkz+TeYCfpCPQYvDCIwHBB8DD4IW1GJPSQSNbKygH/8R+CXvxRXtPyTn5Aq7Le/nf0f/TWgx+vFjeFhqlT/wOkBcH5u2qGpMLZuJURENJS/w9EInS4XEsnEmYKizCJw4GLe6F6+fBlOp3Oq7j8xkTidiFSk7t49Vf1RrNdjMBjEJWdspvt3+u6gZ7hnSpEqUUigy9PBbhVhgrShgRRNc+ZMeFivLwbHeTEwIJ7TyXhIJBIUFRXBKsL7MB2Ki4k8ioYV1Ya0DdAoNdHpUt/CeNTvbpEaBdXv9rvx5fMvsW/xPtFfEseRa1dx8fRDKbGivr4eDMNQHZqy2y3Q64unmnynpgLr18dM+TuaHeACHPTFU29ihZmF6HX14nbf7ZiOYWVZFOh0kE2KnAy7acXMxoetaCIUqQUFBRgaGsKXMSQHcByH+vZ6FGdOXV8ikUGnyxU8PMVxZFAlkvXUZOgKdOD8HAZO0UuGKtTpcNvlwovXMVnPB//xPxKO73vfIy2+WHHhAtG6/t3fRT3gKTYaHQ4weDVMSANsAwvlIiXil8bP+DyVCtiwQfjwVCDgxODgpVfOI+OQlpiGdanrYtalNjY2Qq/XY+PGCFn3JhPRdMXgnxV2bYrkALMpMRFGuTxmyr+xoxHxsnjsWjj1C68v1sN5yQm/I4aN9AxeiwkJyxAXlw67nV6n02Qy4fbt23j27BmV9TMzSRIpjTpYJpEhe3E2Wp5EUQEvWUK+PG8R5f+uSBWA813n4Qv6kJuRK/pLevgQePyYPtW/efNmJCcnU1nf4+mAx/MQev00otqCAqCpKaYMa9bKImF5AuLTp97Edi7YiXhZPBrao68i+3w+XB0amkL1hxF204qpNrJagblzI8pNNm7cCIPBEBPlf6v3FrqHu6foUcPQ6wsFJ7t0dgLd3TPrUcOIz4xHXHocVco/X+QhkZghkQD//u/A8DBpN3/9dfRr/e535IO2fTvRor4hqGdZvJeYiGSKHq1sIwt9Ib8kq2hM/YlRfHCCHnU8ijKL0NDRgBAX/TWqsbER+fn5kSVVxcXEii+GaM5Jrk0TIBllGWItUhs6GpC9ODtioqK+WA+EYvRDvnOHSL8inATxdC4Gy1qoWVEVFBRAIpFQnfIvLiaXeipWVItzcOnZJXj8Ajc7Egmxx3hXpL7B6OsjX44oitSWxy2Yo56DFcYVor8sq5UwevvEb9ICAAKBABobG2GiOJVlt1vBMPIx78EpKCwkWpgovyAcx8FutUfsogKAUqbE3sV70dARfZEappCnozQLC0kTJKZYxhla5hKJBPn5+TENT9W310MlV0XsggAY7SIF4XDw34mHz3fHjtmfOxaRSnF4yiCXY2tSEiw08gejxcKFxLxToyEF5v/+38LuUB4P8Gd/RnSoH31EWvaUvEiFIhAKoT7CMKGYGHk6As8Dz5Qo1OmwcyfZ2Hd38z+Gw9GA+PhMxMenR/x9cWYxsV7qjm6TwbIsrl69On2a34oV5HMSQ4utoWGCa9MUFOv1uDE8jJdR7qTdfjfOPj2L/Iz8iL+PWxAH1WpVbJR/QwOZMJqGmjEYTBgZ6YTbTcd4XqfTYfv27VR1qSYTCaa7e1f8tXMzcuENenHhWRR6l7dseOq7V6TGEIfa2tmKnPQcKnnVViuxrqDlMBOO3KRZpLKsBRrNbshkiZGfsHMnoFZHfYF23XbB98IHvWn6m1hxZjHOPj2LYV9006cWlsV7ajVSp+kWrVkDpKXFcI/p7CQ6wxla5kVFRbh27Rr6+vqiOkR9Rz1y0nOglEXWMcbHL0Z8/DJBNi8XLpAkFb41ir5ID88jDzwdMcQCzYIDBgMa3wQrqvHIyCD/WD/4AfAf/gNw6BC/6YkHD4jQ8vBh4Ne/Jl3Zb9huajwuOp1wBAI4MA3DIAbsVjsgBbS5Wl7PD3f1+XZTOY6D3W6FXh+ZYQCA7Qu2I1GRGDXl39jYiFAoNL2kKmxFFUORarUCRUVjrk1TEKsV1enO0/AGvTAtnf5eoTfpwVpjsKKyWMggWdzUTi0AaLX7wDBKqlZUJpMJzc3N8Pl8VNbPziZ1OA3Kf1XyKqSoUqLXpd6//3pCSETAd7NIVamINkMAHB4Hvnr5FXLTxaf6XS7C/tC0nrJYLEhOTsZ7M41mx4Bg0IOBgVMTracmQ6kkaTlR7l7tFjskKgm0u6e/iRUvLYY/5EfLY+F6nSDHoZFlYZrhRsww5H2KegNutZLu2AypQUVFRURXGgUV5fQ6cb7r/LRUfxgGQwnsdv502unTRI/LF7o8HRg5A7uFXqdzv8GA4WAQpwfoaV+jQlwc8C//Ahw9Cpw8CWzaNPOgwpEj5Dk+H/FD/d73Xt9r5YmTdjvmKBR4L3GaDagIYC0sNLs0kGv5haTMnUu0f3yZc7f7Przep9DrS6Z9jkKqQG5GLuo7oitS6+rqsG7dOsybN2/6J4WtqB4JN6x//px8lGa6V4RZhmgpf8sjC9K16VhmmH6CV1+sh7/Pj+Gvo2gGOJ1Elz/DSUilCdBq94Jl6epSh4eHcT4mWmx6xMWROpxGs5ZhGOSk50SnS123jgSERGON8Q3gu1mkrlkz/TZ0GpzuPA0OHJUi9dQpcn+iqUe1Wq0oKiqCROB588XAwGmEQiNTracmw2QixudRXEBZKwtdjg4S5fTnkKnPRJYhC5ZHwq8MV5xOsIHArJRmSQn5fj95IvgQEa2nJiM1NRWbN2+OiopqfdKKQCjAo0g1wed7ieHh2WmfFy9Ioy9XwEdfppZBm62FvY5ekbpGpcJCpRInbbFZBlFDZSXw1VfkbrV1K7lj5eZO/NmxA/jkE6C0lOTurlnzTb/qiDhps6GEpvXUSBCOFkdE146ZkJMDtPJsJtntFkgk8dBqZ47zK84sxqVnlzAwImzzEwwGUV9fj5KS6YtgAORFKxRRtdgsFuJqMFtsdrFej0aWhV8gy8BxHOoe1cG01DQjY6jZqYE0URrdJrS5mRRJs9zwDAYTBgbOIhCgEwyybt06pKWlUbeiOn+e1OViIzc9F9deXhP8OR27xrwllP93s0iNhup/0ooMXQYWaReJ/pIsFsISLl0q+tIAgBcvXuDmzZuUqX4rlMpFSEiYRa9bXEwGpwQOBvkH/Bi8MDgj1R+GKdMES7tw0b2FZaGXybBlvAF3BOTmErtDwde2GaynJsNkMqGhoQGBgDAbp/r2emQZspChy5jxeRrNbkilal6dinARsHevoJcCfYkeA6cHEHSJl4c+HgzD4IDBgFq7ndqARczIygK+/BL4z/+ZOFykpEz8WbSI0Pu//z2xKHoD8cjtxgOPBweMRmrHGDwziJA7BEOJ8CL1/n3g5cvZn8uyddBqcyCVzuwcUJRZhCAXHEtc4otr167BZrPNfp1Vq6O2orJYyL5mNoMFk14PZxRWVA/sD9A50Dkj1Q8AErkEunxddBGpFgvR5qZH1gWHQayofBgYiILS5gGGYVBcXEzdiioQoGNFlZueixAXwpnOM8L+MDGRMMnvitQ3EF4vuaJFMzT1pIVKFzVsPWUy0bOeslqtkEgk04v5RYDdboHBEMF6ajLmzyeKf4EVnqPZAQQxIQp1OpiWmvDc+Rx3+u4IOobVbkehXg/pLOeQlETuMYKL1LNnyVguzyJ1YGAAlwTEbXIcB2u7FUVLZu6iAoBEooBOl8/L5qW1lXxlhJpCGEwGcF4OjlZ6U/4HjEY89Xpxh0bak1iIjwf+238jtH6kn+99j96XXwTU2u1QMgzyKFpP2evsUC5UImFlgqC/Cw+anprFUjMQGMTg4HkYDLN0OQEs1CzEyuSVgnWpFosFOp0OW7dunf3JYSsqN3/Deq+XNCH59Bo2JiYiJQorKssjC+Jkcdi7eO+szzWYDHBedsJvF2BFxXHkwsnjJBISliI+PpO6LvXevXvo7Oyksn5GBvE9p9GsTdelY7F2cfS61HdF6huI+/fJtkZgkfpy6CXu2+5TKVLb2sgsDW2qf9u2bdBTmsx1ux9hZKRjeuupyTCZSGUugIpirSwSViYgblFkof147Fm0Byq5CnWP6niv3+vz4avhYd7TyyYTKd4E2R1arcC8ebwo3U2bNiE5OVkQFdVma0PXYNesVH8Yer0JTucl+P3TU3YcR7oAOVGkACdkJSA+M54q5b9Xq4VKIsHJN2nK/1uGk3Y7cnU6qCil1HEcB3udHYYSg+Ch1JQU8nWarVNFooADs8uRRlG0pAj17fWCOvR1dXUoLCyEjI8jQ3ExqToFWFGF7ZX5FKlhKyqh7hd1j+qwb/E+JMhn3yzoi4gVFdsooBC+eZPYMfBk9fT6YkHaeaHIy8uDTCaj3k2lZUWVm54bvS715k06L0pkfLeK1PDOQaDu69QTsk3fly6+P5TVSiRrQqlUvvD5fGhqaqKcMmUBwyig0/GsZEwmwGYjdj08wHEcWCs7rfXUZChlSuRl5AnSpYYnYQsFFKmC7Q4FpDVIJBIUFxcLKlLr2+t5d0EAjA65hWY09u/oIDYqQvSo46E36cFaWGo3GaVEggK9/l2RSgkDfj/ODQ5iP8Wpfs9DD0Yej/CS8kRCbi4pUmf6iNntdUhIWIn4+MW81izKLMKLoRe82Zienh589dVXs+tRw1i+nEg9BBRHFgvvPS4Aoku9JSDwwul14tzTc7NS/WEo5ymhWqcSRvnX1RG5A59UEJCNtNfbBbebzpCPRqPBzp07qRapJhPR9d+OLWMmInLTc3G3/y56hgXGja9bB9jt/HQy3zC+e0XqkiWCtV8tT1qwJmUNUlQpor8ki4UUqAnCWC7euHjxIoaGhqj7o2q12ZBKeVrmbN8OaLW8OZDhm8PwdfsEDVWYlppw8dlFODz8qGar3Y7NiYlI4WlUvnw5kVTV8W3WPnlC2uYCNgsmkwm3bt3inYpibbcie1E24uUza+7CUCrnQq1eD7t9+pNoaSGDGkIm+8fDUGKA95kXrjv06PgDBgMuO53oo2Ql811GPcsiwHFUi1S7xQ5GyUCXE52cICcH6OqafpCR40JgWSsvqj+M3Yt2I0GewJvyF5zmF7aislh4d7Pq6oTJwgr0ekjA34qq5XEL/CE/7yIVIPIrtl6AFZXFQiKyeV5ntdpsSCTx1NOnWlpaMDIyQmX9PXvI/Z1GHRxunAmm/MNs8ltA+X/3ilSBVD/HcdT0qMPDszpxxAyLxYI5c+Zg/fr1VNYPBl0YGDjNm0YDQCyYCgt5F6mshYVULYVm1/QT8ZNRnFmMIBdE0+OmWZ8bCIXQ4HAIMioPW1HV1fG8x/CwnpqMgoICSKVSXrt8l8+FM0/P8Kb6w9DrTWDZenBc5OGm1lZgyxaiw40Gmj0aSBIkYC30jP1LRguoN8rY/1uCk3Y71qvVWDCNn6UYsNfZodungzQhOjnBnj3ErGU6yn94+Gv4fD385UgA4mRx2Ld4H6zt/CoLi8WCLVu2CEvzM5lIGgEPK6r2dpJKKOReoZfLsU1A4IXlkQXLDMtmHbqccAyTHv5+P4a+4uEFbLeTIUIBJyGVxkOr3UdVl1pcXAy3241z585RWV+pJN1+GkXqHPUcrEpeJbxIXbSIOMy8K1LfIHBcVEVqh6MDXYNdyEmPQpQ3C1pb6VtPWSwWqtZTDscpcJx3Zn/USDCZiOVOb++sT2WtLHR5OkgU/M9hgWYB1qSs4UX5Xx4awgAP66nJMJmInvgBn1CUsPWUgGpPp9Nhx44dvCj/M0/PwBf0oThT2IfJYChBIGCH03l1yu9CIfIZjUaPGoY0Tgpdno6qLjVFocDWpKR3lL/ICIRCsLIsVQP/wFAAg2cHoS+JXi+v0ZAk2umsqOx2C6TSJGg0PDJ9x6Eoswjnu85jyDtzAeb3+9HQ0MCf6g9DgBWV1UocRQTscQEQyr/Z4ZjViorjOFjaLShZKuwckrYnQaqR8tuENjaSi4rAG57BYMLg4DkEAjwK4SiwevVqzJ8//7VYUQ3yT6Lmjah0qQxDBpjfFalvEF6+JDs5gUVq65NWSBkpshfP7K0XDSwWYkadmSn60gCArq4u3L17l7r1VFxcOuLjs4T9YdFox28Ww3q/w4/Bi4O89ajjYVpqgrXdOmsOt9Vuh0Emw2aB7cK9e4meeNZr28gIuYNG8T6EU1G8s+jK6tvrsVi7GFkGYe9DUtJWyGR6sOxUyv/OHSIdjlaPGoahxIDBi4PwOwRMAQvEG5k+9ZbjdaRMOZod4PycYH/UyQj7pUZiNVjWAr2+ABIJv5CAMIozSTDIqc6ZrQMuXrwIp9Mp/DqrUpE2MI8i1WIhCUZqtbBDmAwGOINBXJzFiupW7y28HHopiOoHAIlMAn2Bnl9EqsUCrF9PhLUCQKyo/IJinIWAYRiYTCbqw1PBIHFnEBu5GbnoHOjEY8djYX/4lkz4f3eK1CjjUFuetGDzvM1IUkbJd06D8dZTtGC1WiGVSpGfHzmDOVZwHDd6A5jZ+DkiUlJI+2OWCs/R5ABCiLpI7XP14Xr39RmfZ2FZXtZTk5GQQCxwZtWlCrCemoySkhK4XC6cPXt2xueFraeEvg8MI4VeXxRR89XSQqiq7dsFLTkF+mI9EAQcjfSsqMLpU2fetPSptxivK2UqYXkC4jP46ainQ24u0Nc3NSfd5+uH03lZENUfxhL9EmTqM2F9NHPxYrFYkJqaig0bNgg+BkwmMn05gxWVy0XcqqK5V6xXq5Eql89K+VseWaBWqLFrIb+BpvHQF+sxdGUIPtsMmvBgkDQkojiJ+PiM0Rhnmp3OYjx48AAdHR1U1l+8mFjD0qiD9yzaAwkjEZ6yuG4d0ZAIsqh5/fhuFalJSUSLwRMhLoTWJ63IWSw+1X/vHhH706b6d+zYAa2WXxa2ULjdDzAy0gmDIcqTMJmAhgZiCzYN7BY7VKtViFsgXBO3ff52aJSaGSn/Hq8XXwuwnpqMkhKiK56xURG2nlq9WvD6fKioDrYD7Wy7YD1qGAaDCcPD1+H1dk94vLWVKBRilSPGLYiDaq2KakTqWPrUO8pfNNBOmeI4DnaLPeqp/vHYsYMw55N1qSzbAIATppkfh6IlRbC2W2d0p7BYLCguLo5OUhW2oprB6PXUKfKUaIrUsBXVbH6plnYL8jLyoJQpBR9DX6QHOMDRMMMm9No1QstE2ZUxGIrBsjO/D7EgNzcXcrn8rbSi0sZpsWnuJrR2RjE8FQoRyuwNhuBvldfrxY9//GPMnTsXCQkJ2LZtG5p59LBbWlrw/e9/H1lZWVCpVFiyZAn+/M//HD09Aq0TosXNm0SDIeCCe6fvDmxuG3IzxB+aslqJx3e2+CoCAOR9amlpeQ3WU0potVFac5lMRKQzjWE9F+LA1vO3npoMuVSOwszCGf1SrSwLBvytpyajuBjw+2fwaeQ40mrlaT01GWEqaqYitfZhLRRSRdS6aZ2uEAAzYTghEADOnImd6g/DYDKAtQqYAhaIcPrUSZvtzU2feovwOlKmhm8Ow/fSJzhlKhLi40mhOlmXyrIWqNXvQamcE9W6JVkleDr4FPf670X8fVdXF+7cuSNcjxrGskx19BIAACAASURBVGWz2oSEEwmzBCqqwjAZDLjtcqFrmul11sPi4rOLMGVGV0Aq05RQb1TPrDu3WEhMFp+ggwggVlTP4XJR8HECkJiYiD179lDVpZpMRHVIg2HPTc9F65NWYde+VavIxOEbTvkLLlL/9E//FD//+c/xR3/0R/inf/onSKVSmEwmXLhwYca/+/GPf4yzZ8/igw8+wC9/+UtUVVXhs88+w4YNG9DLY3gmZkQxNNXyuAVKqRI7FuwQ/eWcPEl0VPGxsVzTorW1FS6XCwcOHKBzAAA2mxk6XR6k0ij9szZtIjFG01wYnJed8Pf6YSiN/iZmyjTh6our6HP1Rfy92WbD9qQkJPO0RJmMjAxiRzXtta2tjUzvlpZGtT5AKP+HDx+ivb094u/ND8zITc9FojI6WlahMCIpadsEyv/aNWBoKLahqfHQl4xOAV+jM/wAvCXpU28JTr6GlCm2joU0UZhrx0zIzSXMeZiYCYUCYNl64UOd47Bv8T6oFWqYH5gj/t5iscQmqWIY4MAB4MSJiC228QFN0Ta0C/V6yBkGJ2y2iL9v7GhEiAuheGn0DQ3DAbIJDfmn0YTX1RFHFz5BBxGg1e6BVJoIm+1E1K9xNuzfvx+tra0YGqJzjdq9m7hf1taKv3Zuei76XH3CUhYTEkgW+7epSL1y5QqOHTuGf/zHf8RPf/pT/Nmf/RlaW1uxaNEi/OhHP5rxb3/xi1+gvb0d//AP/4Dvf//7+Pu//3vU1tait7cX//zP/xzTScwKj4doL6LQo+5cuBNxMnHtV2w2MulXVibqshNQU1ODJUuWYNWqVVTW9/lsGBw8D6MxhpOQSF55BUaAzWyDPFkOzfbob2JFmUXgwKGhvWHK79zBIBodDpTF2C0ymWawOzSbycVA6FjuOOTk5EChUETc5Ts8Dpx9ehaly6IvggHSqXA4GhEKEV1ZSwu5oG7aFNOyY0jalgSZTvYufeotQS3llCmASHl0+cJcO2ZCTg6R3VwflaAPDV1GIOAQ5I86GUqZEoVLCnHiQeTiyGKxYNeuXdBoYii0y8qI2/tXX0351f37wNOnRFYULTQyGfZqtTBP872wPLJgbepazE+aH/UxjGVGBAaIU8MU9PSQc4thAEMiUY6mT0XeLIiBsrIyeL1eNDRMvVeIAYWCzAubKZzCjgU7oJQqhU/5vwXDU4KuDsePH4dMJsNf/MVfjD2mVCrxgx/8AJcuXcKLFy+m/dtdERImdu/eDb1ej7a2NiEvQzju3CHaCwFFqj/ox5mnZ6j4o4a9NWk1OUOhEE6cOIGysjLhA008YbfXAuBgMMR4EiYTcOsW8Pz51GOY7TDsN4CRRn8OqepUbJq7CZb2qQVek8MBTyiE8hiL1JKSGWgcsxkoKIipZa5Wq5GdnR2xSLW2WxHkgjiQFdv7YDCUIBgcwuAgYURaW4kUJcrGxxRIZBLoC/VU/VLD6VO174rUmPA6Uqb8dj+cXzpjnuofj82byfR7mPK32y2Qy41ITIxtp1W6rBSXX1yekuozMjKClpaW2N1Tdu8m4SYRqpe6OnFkYeVGI04PDGDAP9FhI8SFYG23Rk31h6Fer4ZyoRI2c4RubX09aQPzDTqYBkZjGYaGrmFkZOq9Qgykp6dj7dq1MNOoIkdRVkZYqhlKpagQL4/HjgU7ojP1v3XrjY5HFVSkfv3118jKyoJ6kg/G5s2bAQA3btwQdPDh4WEMDQ3BSFH3BIC8CRKJoMGVay+vYdg3TKVINZuJNGdOdDKpWXHlyhX09PSgvLyczgEA2O1mJCVti1rrNYaCAvLeTBKsux+44W5zw1gW+2fDlGlCQ3sDAqGJA1pmmw3LExKQFWPc165d5OY4pYbs6QEuXxalZW4ymXD69Gm4JlHZJx6cwKa5mzAvSZity2So1euhUKSBZS3weIALF8TTo4ahN+kxdG0I3h5+MY3R4IDBgC/fpU/FhNeRMsU2sFG7dkwHuZw4OoX14XZ7HfT6IjBMbN1g01ITJIwEtQ8n8rRnzpyB2+2OXo8ahlxOdronpnZrLRZxZGGlBgMCHDdlgOray2uwuW2Cracmg2EYGEuNsNVE0IRbLGQHkRJbYiNxkZHBbqdH+ZeVlaG2thZ+Px27PJOJJPhFeKtjRm56Ls48PTPlPjcj1q0jcyFPn4r/gkSCoCK1u7sbaWlpUx4PP/ZSYA7sL37xC/j9flRWVgr6O8G4fZuYkQooRlqetCBJmYT35r4n6kvxeMhAO02q32w2w2g0YscO8bW0ABAMusGyDbFR/WHodGTiYVKFZzPbIImXQJcfuybOtNQEx4gDl59fHnssyHGotdtRJsKNWKEgSX9TitTaWtJB2L8/5mOUlJTA6/WiddxkiC/og7XditKs2Kh+gNxk9HoT7PY6XLpEponF0qOGoS/SAwzA1r9Ln3qT8bpSptQb1FDOFT5NPhNycoiUyul8AZfrJvT6GAtIAMYEI3Yt3DVFl2qxWLBw4UKsXLky5mOgrIw0U8Zluw4OknMRw6Zwflwc3lOrYZ6kS7U8skCj1GD7ghh95gAYykgE8vCN4VcP+v3ExF+Ek5DLtdBq98Jmo9fpLC8vx8DAALX0KZ2OdMVpNGtz0nPg9Dpx7eU1/n+0di357xs84S+oSPV4PFAqp15U4kYvZh4Bfltnz57FT37yE1RWVmLv3r1CXoZw3Lkj2P6n5UkLshdlQyYRie8Mr9tCLPFoF6n79++HlJKezOFoRijkgcEg0kmYTMTleJxhvc1sg64g+qjE8dg0dxOMCcYJVlSXBgfR7/fHrEcNw2QiJgUTGhVmM/FwEuEYS5cuRWZm5gTK/0znGTi9zpj1qGEYDCa43fdx4cITJCdH5Zg1IxTJCiRuSQRbR69IDadPTae/e4eZ4X8NKVNckLh2iDHVPxm5uSQ74/p1KwAJ9PoCUdYtzSpF8+NmuHyvmAyLxQKTKQqP6EgoKiK73XEttuZmMgQmlkFLmdEIK8vCNy7wwvLIgsLMQlHuc9psLaQa6UTK/9IlUm2LZAhuMJRhYOAUAgEK0U0ANmzYgAULFlCn/FtbZ7EtjAKb521GoiJRGOU/fz6x5vy2FKnx8fERk29GRq0t4nlyEm1tbaioqMDatWvxr//6r0JeQnQQWKR6/B5cfHaRGtW/dCmZCKeBhw8f4v79+1SpfpvNjPj4ZVCpRDoJkwkYHiaGowB8vT44LzlFofoBQCqRoiizaIIVldluR6pcjq3RhtJPQnExkT2Pae5dLnKXEXE3YjKZUFdXN0annXhwAos0i7A2da0o6+t0eWAYOVjWgn37iApDbBhKDGAbZ5gCFgEfGI2oZ1kMz+C/+w6R0eJwwBEI4AMhGfQC4bzsRIANiOKPOhlr1wIGA9DfX4ekpO2Qy8U5RumyUowERtD8mNgtht02REvzS0wkbeBxxVFdHTGAT08X5xBlRiOcwSBOjwZe9A734urLqzHrUcOQyCUwlBhgN4/bINbVEZr/PXEYSaOxFBznh91Ox8+UYRiUlpaipqaGmpVdWRlpMM8StigYMokM2YuzhQ1PMQypjb4tRWpaWlpESr+7m5iAz507d9Y1nj17hoKCAuh0OlgsFqhUqln/5oc//CFKS0sn/Bw5coTfi+7vJ/nwa9bwez6A813n4Qv6RPdHDYWI9VRZWfR2IrPBbDYjPj6eYspUEHb7SXGo/jDWrgUWLgRqagAA9lo7wACG/eJ1Wg5kHcDN3pvoHOgEx3Ew22w4YDSKZlQ+bx6wceO4e0xjI2npiFikHjhwAM+ePcONGzfAcRxOPDyB0mWlog3HyWRJUKuzMW+eWXQ9ahiG/QYEnUEMnKGXDPVhcjJGQqF3A1RR4PP+fiyNj8daHtflaGE7YYPcKEfSFnFT/ACyscrL80CjaYTBELvMJoylhqVYblw+NuVvNpsRFxeHHDE1MWVlJJ2OZREMErWQmMO1a1QqLI6LG6P8Tz48CQkjiVmPOh7GMiOGbwzD0+khwzg1NURvK9KONy5uIdTqjVSn/MvLy9HV1YWblKbeFy0iUlAazdrc9Fxc6LoAj19AitSaNUQSKQBHjhyZUpP98Ic/FPhq+UHQJ2fDhg14+PDhFB+xy5eJ1m/9+vUz/r3dbkdBQQH8fj8aGhqQmprK67g///nPceLEiQk/H3/8Mb8XHd4hCOikNj1uwhz1HKxKFte+6fJlUi/Ttp4qKChAQozDQNNhcPAS/P5+cYtUhgHKy8kFjeNgM9ug2aGBIjk679JIKM4shlKqRE1bDdrcbjzyeETRo45HRQXRpXq9IFeglSuJFlokZGdnQ6vVorq6Gjd7b6JrsEs0qj8Mm60c69efwt69dCJM1evVUC5SwlYd2bNRDCyOj8eWxER81t9P7RjfRvhDIVTbbPgoOZmaKwjHcbB9YYOhLDbXjplQUtIIhcKNhIQKUdctzSrFyYcnEQwFUV1djcLCQl5NFv4HKCXxoRYLLlwg/ZUKEU+BYRiUGQwwjwZeVLdVY9fCXUhWidc11xfpwcgZ2E/YiUf0w4fingTIlL/dbhmzyxMb2dnZ0Gg0qBltmtBAWRm5V4g9n5WfkQ9v0ItzXQI0tatXk/dKwIv5+OOPp9RkP//5z6N4xbNDUJH64YcfIhgM4le/+tXYY16vF7/5zW+wbds2zJtHJox7enrQ1taGwDi6zeVywWQyobu7GxaLBUuWLBHpFGbBnTskgFxAsdD0uAl5GXmiX6jNZuJdH2sW+nTo7e3FpUuXUEaxCrbbzZDLU5GUFF1yyLSoqABevEDw3GU4mhwwlIlbQCYqE5GXkYfqtmqYbTYkSCTIFdmovLycGOC3NI62QUR+H+RyOfbv34/q6mqceHACScok7Fm0R9RjnD5dDpksgKSk6RNwYgHDMEiuSIat2kYtfQoAPkpOhvUd5S8IYar/YIxT2DPBfc8NzyMPkivoyQmysqrR2bkCV68uE3XdsuVl6Hf3o+56HS5duoQKkYsvzJ1LpuDNZlRXA2lpwJYt4h6izGjEC58PZ2wv0Py4GRXLxT0HWZIM2hwt0aVWVwMqVUwe0ZFgNJYhGHRiYOC0qOuGIZfLYTKZqOtSBwZI41xMrExeiTR1Gpo6mvj/0erVgM8HTBMW801DUJG6ZcsWfPTRR/jbv/1b/PjHP8avfvUr5OTkoKurCz/72c/Gnvc3f/M3WLly5QRpwKFDh3D16lV8+OGHuHv3Ln7/+9+P/dD8MOD2bSLs4Wn42O/qx42eG8jPEJ8uN5vJoDctf+za2lowDIP9IkyTRwLHcbDZamA0HojZ1mUKdu0CDAZ4/+dRhEZCoulRx6N8eTnOd53H8ZftKNTrES/yG7FqFdkLVf9/fYDdTqVlXlFRgTt37uCzc5+hOLMYCql43WYAqKubh/7+LbDZqkVddzyMFUb4un1wXhF5cmAc3lH+wvE6qP7+6n5I1VJoc7VU1g+FAvD7T+LmzQrwSOsWhK3ztiI5IRn/8rt/gVQqpZPmV1YGzlqPmmoOZWXi68J3azTQyWT4p9vV8AV9KF8u/uyCscyIgTMDCB3/ggyEiRyrqFKthVK5iPqU/40bN/CUkjXThg3AggXiU/4MwyAvIw/NTwR8+MMss0DK/3VB8Ffgt7/9Lf76r/8av/vd7/BXf/VXCAaDqK2tnWDWzzDMlC7kzZs3wTAMfv3rX+OP//iPJ/zQ0jIAEDw0FRYd52WIu/t7+JB01GlT/Tt37kQypaEHt/s+PJ528ab6x0MmAw4cgLTlJBJWJiBhqfhyhTA1/lVng2hT/ePBMKQhbG5VIzhnHumKiIzCwkIo45S4e/YuypaJ+z50dZHrVHx8BVi2HsGgAF2TAGh2aiBPlr+j/N8gvA6qHwBs1TboS/SQxtHZqQ8OnkUgwEKhqJg+qjhKSCVS7M/ajwuNF5CdnQ29XvzBL5SV4aZrCTqfMmKz5AAAmUSCEoMBre21WD9nPRZrF4t+DGOpEcpgHyRffyU61Q+MerIay2GzmakNNxUVFUEul1NroDEMUXeYzeL76Odn5ONGz41po8CnwGgkpu1v6PCU4CJVqVTiZz/7GV6+fAmPx4Mvv/xyypDOb37zGwSDQSxcuHDssSdPniAYDCIUCk35efz4cexnEgkcJ7hIbepowqrkVZibOPsQmBCYzWRDSWmeCS6XC83NzVSpfpvNDIlEBZ2OzlRNqLQMysHHSNtFp8OWokpBRupmwHaemlF5RTmHfk8iLm35f6mMx6tUKizbsgxoI5GvYqKujuwVNm2qQCjkhsPRKOr6YTBSBsYyI2xfRDD+FhHvKH/+CFP9H1Gc6h95OoLh68NUqX6brRpK5QLs2PEeHjwAHj0Sd/3ctFy4Hrqws2CnuAuHsWoVqrXfh0bhBi1nxhJdIgb7zmPvEjqMm3KeEvMWXgPHyGLLc50BRmMZfL4XGBqaGiUrBpKSkpCTk0Od8u/qEj+VNNxga3ksYMr/DZ7wp2Ay8wbh2TMiEuQ52c9xHJoeN1Gj+vPzBeUJCEJjYyNGRkaoF6l6fSGkUnHpmzCc6q0IIg7JsvNU1gcAefJuMANfQREaobL+1sR7SMNLVEs/pLI+AHDLOeAZMDIg7jnU1pKExjlzliEhYQX6++lS/p52D1x3XbM/OUq8o/z5I0z1r5uUJigm+qv7wSgYUVOmxuOVHKkcubkMlEqy8RIT3vteIARwyyhtrhgG1bIPsV9ihUJGx6ZNMXADCLohTxZXzz4eybILGJBsQChefAcHANBodkMm01Gf8j9z5gwcDjpDpNnZxKJU7Do4LTENq1NWo+mxQF3quyL1G0BYY8Gzk/qIfYRnzmeiU/19fcDFi/Sp/lWrViFTxGny8fB6uzE0dFncqf5JsNW7MBC3FcqvRDaQG8VwIICOhPfAhXyob6dzDMlJM8pkFlR/vZhKHPKQdwhthjZIpBJRd/kuFwmaCMuZjcb3YbefREhIxJ4A6HJ1kCZK31H+bwBeJ9Wvy9NBliRuQEoYQ0PX4PU+h9H4PtRqYN8+svESE5aTFmgyNDg7IPLEyyg6OoDbtrmoGPmUhLxTQP2jE0hQzceVEKU4cpZF3NPL6A/uhKOVToEnkchgMOynqkstLS1FMBhEndg7nVEoFMQinEazNi89D82Pm/kzVWvWkMEpt1v8FxMjvt1F6p07xCR5wQJeT2/qaIJcIkf24mxRX0b4QklpngmBQAC1tbWUp/pPAJDCYKBD33AcB1uNDb7tJWAuXwZevBD9GA0OB3xxc7AiZQ1qHlCyFzGbUbGtG086Jbh1S/zlGzoa4Ff6sXXnVlRXi9fpbG0l1lnhz2hycgUCARaDg3RuxhIlMf6mWaQC7yh/PngdVL+v34fB84NIfp8u1S+TGaDRkPmI/fuBM2fES/bxeDywWq3IKc7B+a7zsLnF/+zW1ABxcRyKdFeoVC/BUBDmB2bszCjBucFB2Glk1NfWggkGMbQwZ2L6lMgwGsvgct2Gx0NHLjh37lxs3ryZOuX/9deE9hcT+Uvy8cz5DA/tD/n9werVRB55/764L0QEfPuL1NWreTvnNz1uwvYF26FWiEt5mc0knp6Ws8v58+fBsiz1lCmtdjfkcjpaTtddF0Yej0D5/7xPhJEULgxmmw2rVSpUrvgAdQ/r4AuK7LP38iVw5Qr2fj8DGg1xYBEbJx6cwJqUNfjko0/Q2tqKgQFxTPFra0kSWlYW+X+1eiOUyoXUp/yHvx41/qaEd5T/7HgdVL/9BPn3N5TSi1u12aphNJZCMhrxWVJCYkUbRZJWNzU1we1246+/99cIcaEJMctioboayM9noDqQQ+Ua+OXzL9Hn6sNfrqtECEAdje9FdTWwbRs0H6yA3WynZjWn0xWCYZTUp/ytVutYqqbYKC4G5PIJabiiIHtRNuQSOX/Kf+VK8t83kPL/dhept2/z1qMGQgGc6jwluh7V7QaamuhS/WazGXPnzsV7IkXPTUYgMASHo4XOVP8o7GY7saYpSwf27hW9wguEQqiz21FmMKB8eTkGvYM49eSUqMfAyZOAVApFWTFKSsQvUgOhAOoe1aF0WSnKy8sRCAREoaI4jhSp4zv9ryZo6cUD6ov1YJTMa6H8P39H+UfE66L6+7/oh2aXuAEd4+FytcHtboPR+GqafPFi0qMQi/Kvrq7G8uXLsee9Pdgyb8tY+pRY6O0lsrCKCpAbxt27hP8XEdVt1UhRpWB/+h5sTUwcS58SDW43yYYuL4exzAhfjw9DV4dm/7soIJOpodPlUi1Sy8rK4HK50NraSmV9jYbc7sTej6gUKuxYsIN/kapWk/zdN9CG6ttbpAYCpHXNU4969cVVOL1O0fWoTU2Ax0OvSOU4DmazGaWlpZDQCFsHwLL14DgfXT2q2QZ9kR4SpYRcpU+fBkQUrJ8fHAQbCKDMaMTa1LVI16ajpk1kyt9sJpNHej0qKoBbtwAxjSsuPrsI1sOidFkp5s+fj82bN4tC+d+4QZrAk+UoRmMFvN7nGBqio42TJcqgy9O9Fsrf8o7yj4jXQfUHnAE4mh0wVlDSQIJ0UYnzyMQmw/79JNknGIxt/UAggJMnT44Z+JdmlaK+vR4jAfE6bGYzIf0OHABQUEBCaESsXjiOQ01bDcqWlUEqkaLMaEQDy2Ik1n+c8WhsJDe8igok7UyCTC+jTPmXY3DwHHw+OsdYuXIlMjMzqVP+p08Tc38xkZeRh1NPTiHAd65gzZp3ndTXivZ2kqLAs0htetwEjVKDTXM3ifoyzGZg+fJXNKrYuHnzJp48eUJ5qr8aKtVaxMenU1l/5NkIhq4OvUqZKisjmwwRBetf2GyYq1DgvcREMAyDiuUVMD8wI8SJNEE7MEAmj0YlF0VF5B4jZrLe8XvHMS9x3thntKKiAlarFR5PbHR5bS2ZMh1ndQwA0Gh2QSYzwGb7Iqb1Z0Ly+8kYPD8IXy+diEPgHeU/Ez7v70cmZaqftbLgfBxl66kvYDAUQyqNm/D4/v0kXvTq1djWP3fuHOx2+1iRWrGiAi6/C40d4tm0VVcDe/YQ20qo1cQO5gvxvnt3+u6gw9ExljJVbjTCFQqhUczp9epqQh1nZUEik8BwwID+L/qpsTEGwwEAHOz2k1TWZxgGZWVlMJvNCIpZzI9DaSm53Vmt4q6bn5GPId8Qrry4wu8P3tAJ/29vkRr+xxZQpOak50AmEW/y1OcjRcr774u25BQcO3YMer0eubl0vEuDQTdsthNISTlIZX0A6P+sH4ySgbF0tNMybx7JAxSJLw9yHD7v78fBlBRIRinNihUV6B7uxuXnl0U5BmpqSPbxh8R6Sq0mzRCxKP9gKIjP732Oj1Z+BAlDvrYVFRVwu91ojjFap7YWKCwk06bjIZHIYDSWUrWiMhwwAAxgO/GO8n/dCFP9B18D1a/eqEbcorjZnxwFRkaeYWjo2gSqP4xt2wC9PnbKv6amBvPnz8emTWSDuDJ5JVYlr8Kxu8diW3gUTifZ407wvj94ELhwgVgpioDqtmokKhKRk54DAFihUmG1SoVjfTxN32eD308kT+NmI1IOpsDzwAPXLTpWc0rlHGg0e9DXd5TK+gBw8OBB9Pb24syZM1TWX7CA5L58/rm4626auwnaOC3/iNTVq8nAMiXLrWjx7S1Sb98GUlMBHjTWkHcIXz7/UnQ9anMzeb8rK0Vddgwcx+Ho0aP48MMPIZfLqRzDbq9DKORCcjKlkwDQd7QPhhLDRGuaigqgvp5QRzHi7MAAenw+VI2bXNs+fzuSE5JR3SZSAXbsGKH6580be6iigtxjentjX/7s07PoGe5B5epX78Py5cuxfPnymCj/3l7gypXpnSeMxgp4PA/gctGZ+lQkK6DZrXlH+X8DeB1Uf3AkCNbCUqb6a8Aw8ojOI1Ipsfk5GUOjjeM41NTUoLy8fEIxX7mqEuY2M9z+2G17LBZS402YfS0rI3TMZ5/FvD5AilTTUhOUMuXYY1UpKTDbbHCL0SU8d47c8MZV2ro8HWR6GfqOilQIR0BKShUcjhb4fHSOsXnzZqSnp+PoUXqFcGUl+QyI5UQBkIS0nPQc/rrUcEPvDeumfnuLVAFJU2eenkEgFBBdj3r0KKH6ec5uCcaVK1fQ2dmJqqoqOgcA0Nd3BImJm5CQQMd/1d3uxtC1IaRUTbI+qKh4NXUWI4729WFxXBy2JCaOPSaVSFG2rAzVbdWxU1E2G3mdk96H/fuJxkyMyc1jd49hkWYRts7bOuHxiooKnDhxAoEoiy+LhbzG4uLIv9fp8iGRqKhO+SdXJMPR4kDASa+AfEf5T8XroPoHWgYQHA5ST5nSanMgk2ki/n7/fqIPj9bm5/r16+jq6hqj+sOoXF0Jl98lypR/dTWwcSMwLqSRaHBKSsiNJEZ0DnTiRs+NMao/jMrkZLhGh0pjRnU1aQuOG+CVKCRI/iAZfUf7qFH+yckfAAD6+/9AZX2GYVBVVYXjx4/D56MjSzp4kFgAii19zUvPw5fPv4TTy6P6XbaMOOu8K1JfE+7c4V0dNnU0YZFmETL14hViIyOEAa6q4u2AJRhHjhxBWloa9uyhkxwSCAzCbrcgJeVjKusDQP+xfkhUxDNzApYtA1asiJkv94dCON7fj6qUlCmUZsWKCrSz7bjXfy+mY+APoxfHDz6Y8HByMmmuxkr5B0IB/OH+H1C5qnLqOVRUwG634/z56FK6amsJJTpdM00qjYPBUEzdiorzcbBb6BWQ74z9J8IXCqHmdVD91f2Iz4pHwko6UXt+vx0DA2eRnDx9RnxhIemoRitxr66uhl6vn3KdzTJkYcOcDTFT/iMjZLMYMea+spKY+re3x3SMmrYaKKQKFC+duBvNTEjApsREHI2V8uc4csMrL59yw0upSsFI5wiGrtCZ8lcokqHX51Ol/KuqquBwONAkQtMkEhYsAHbuJIScmMhfko8gF8SZTh5SBYWC3HffFamvAR4P+VIL0KPmZ+SLerGuk1vDPAAAIABJREFUryeJrLSo/mAwiM8++wwHDx6EVCqlcgybzQyO8yI5mZ4ete9oH4xlRkgTIpxDeTnh6WKgaJsdDrCBwASqP4zc9FyoFerYKf9jx4CcnIhGuBUVRGsWC43T+qQVNrdtAtUfxqZNmzB//vyoKH+vlwzjzhYyYTRWYGjoGkZGxNHGTUbcwjio31PD9gVdyv/jlBTU2u2wUeqGvE2otdvBBgL4mJZ5M4BQIAS72Q5jhZFaIWyznQQQmtEeT6slm8VodanV1dU4cOAAZLKp8wqVqypR97AOw77h6BYHuT4MD09TpJaUACpVzJR/dVs18jLykKScGlNaOSqFccYihbl2DXj+fJJegUCbrYU8VU6d8h8cPIeRkedU1l+zZg1WrlxJnfJvbARYVrw1l+iWYLF2sTDK/w2zofp2Fqn37wOhEK8i9bnzOe7b7iN/ibh61KNHgbVrCd1PA+fOnUN3dzdlqv8oNJrdiIubT2X94TvDcN1xTaX6w6ioAOx2IMouIUCo/uUJCVirUk35nVKmhGmpKbYitbub+IdM8z6Ul5MBulgmN4/dOYZMfSY2zNkw5XcMw6C8vBw1NcL9TM+eJTfH2YpUg6EEDCOHzUYppQuE8metLIIjdCZoAeD/Sk0FAPxeDJHwW45/6+7GlsRErKZI9TsvOOG3+alT/UlJ26FUzpnxefv3k2LQJXB+5+HDh7h3794Uqj+Mg6sOwhPw4OSD6EWv1dUkSCPspz4BKhUZ/46hOOp39eN813mUL4sc9nIwJQUjoRBOxOKZWlNDJtQisHqMlEHKwRT0HesDF6RD+RuN5WAYOfr7RZ4+GkWY8q+pqYnZTWU6fPgh6ceI6a/NMAzyM/L5F6lhGypK0oxo8O0sUsPt6ojf+oloedwCBszYxKMYcLlIA5BWFxUAjh49ikWLFmHr1q2zPzkK+Hw2OBxNSEmhVwT3H+uHTCuDvkAf+QmbNhEeJMqxx5FgEDU2GypnoDTfX/4+rndfx2NHlIamn39OdDzT3MQWLSISrWgnN31BH75o+yIi1R/G+++/j66uLly5wtNqZBS1teSfdzZVjEymgU6Xi/7+44LWFwLj+0YEh4NwNNCbLDUqFCg3GvFvPT3U9HFvA154vahnWfwgLY3qcfqP90MxT4HEzYmzPzkKBAJOOByNSE6e3T5l/37CHAj1ZD9+/DgSEhKQnx+5iZGuS8eWeVuipvz9fqJDrKiYQRZWVUW6W/eikyWFN+Gly0oj/n5hXBx2JiVFT/lzHLnAHThAroURkFKVAl83icalAZlMA4PBRJXyr6ysxPDwsCgBKpGQlkaM/cWm/PMy8tBma8NzJ48u8+rVZPitu1vcFxEDvp1F6u3bJD0hcfaLY9PjJmxI2wBjgnjTp3V1ZOaHVpHq9/tx/PhxVFVVUaTRvgDHhZCc/CGV9TmOI1T/+0Zi4B8JDEMu0J99Rq7mAlHPsnAGg6icgdLcn7UfKrkKn97+VPD6AEiHo6gI0OmmfcrHH5OCcDCK63NjRyMGRgZQuWr6D9OePXuQlpaGTz/lfw4cRzZS4eGu2ZCS8jEGB89iZETkkOlRqFaooFqnQu9hul3O78+ZgzsuF64O0dHHvQ34954exEkkESUwYiHkD6HvWB9SqlLASOhco/r7v0Ao5OXlPJKVBWRmCqP8OY7D4cOHUV5ejoSE6TW1lasqYW23YnBE+Be8sZHMXX7yyQxPKiwk0URRVi+Hbx9GbnouUtWp0z6nKiUFDQ4H2Cius/jqK+DRoxlPImlbEpQLldQp/6GhK/B4RExQGYesrCxs3LiROuXf2kq8fcVCbnouGDBofszDqjDMPr9BlP+3s0jlOdnPcRyaHzeLbj117BhpAi5ZIuqyY2hpaYHdbqdO9et0uVAo6NzIhq8Pw9PumZ7qD+PQoVfT8wJxtK8P61QqrIhA9YehUqhQsaICh28fFt5de/oUuHRp1t1IVRWh/KPx5T529xhWGFdgdcr0n2epVIqqqiocPXqU95R/Wxvw5MnsVH8YRmMFJJJ49PUd4fcHUSD1UCpsJ2wIDNKb8s/X67FAqcS/vUGdgteJEMfh193d+Cg5GUnTdL3EgKPJAX+/H6mHpi+MYkVf32Fotdm85EgMQz7rtbX8mcybN2/i3r17OHTo0IzP+2jlR/AFfTA/ED6a/emnwKpVRBo2LZRK0mo9elQwDds12IWzT8/i0JqZz+HD5GSEOA5fRFMdHT5M7B5zpmcjGQmDlMoU9B/vR8gvUoDKJBgM+yGRJKCvT+RW5DhUVVWhrq4OTjG9osYhPHv7BxGNCgwJBmxM28iP8k9PBxIS3qjhqe90kXq77zZ6Xb2iFqlOJ+mk0qT6jxw5guXLl2PdunVU1vd6uzEwcJoq1d93tA/yZDm0+7QzP3HtWiLbOHxY0PquYBAn7XZe3aJDaw6hzdaGGz03BB0Dn30GxMURzdgMmDeP0DgCTwEjgRGY28yoWj17x/zQoUPo6+tDS0sLr7Vra4H4eGDfPn6vRSZLhMFQit5egSchACkfp4Dzcej/gt4EvpRh8Kdz5uBIXx9clBJk3mScGRjA45ER6lR/7+FeJKxMgHo9Hc2r19sNh6MVKSkzF1/jsX8/if+9wfNrfvjwYRiNxmmp/jAWaBZg18Jdgin/4WEi5fzkEx5sRlUV8PAh/xc/iqN3jiJOFoeKFdO7HwDAHKUSe7VaHBNapAaDpHiurJyW6g8jpSoFfpsfA60i53+OQipVwWgspU75j4yM4IQYvoIRYDQCeXmiuI5NQH5GPpofN8+esCiRkF3TuyKVIgYGyJQhD/upxo5GxMvisXPhTtEOf+IE0T4dpDQQPzIygurqaqpUf3//52AYWcQEFzHAhTj0HetD8kfJkMhm+QgyDOmm1tQImno4abPBHQrNSPWHkZeRh+SEZBy+LbAAO3qU3Pl4yEoOHSI0zsuX/Je3PrJiyDc0I9UfxsaNG7Fs2TIc5lkJ19aSi2F8PP/Xk5p6CC7XbQwP06GC4ubHQbtXS53y/96cORgKBnH8O2hH9W/d3ciKj8cuTWRPUTEQGA7AVmND6qFUateovr6jYBiZIDnS7t3kq8qH8g8Ggzhy5AgqKyt5BaVUrqpEY0cjWA//0WyzmcjCZqT6w8jJAQwGwZT/4duHcSDrQMSp/smoSklBq8OBXiHuF6dOAT095AI3C9Qb1IhfGk+d8ne5bsHlitFWcBosXLgQO3fupE75nz0r7F4xGwqWFKDP1Ydbvbdmf/IbFo/67StSBcSh1rfXY+/ivYiTiRfXd+wYsGPHJFNmEWG1WjE0NIRKiq3avr6j0OuLIJdPr7OMBc5LTnifeWen+sP4+GNyNRfgdHy0rw9bExORzqMKk0lkqFxViSN3jiAY4tlde/QIuH592qn+yfjgA0AuF7ZDPnb3GNalrsMy47JZn8swDA4dOoTq6mq43TMn4PT1EcOEAwf4vxYA0OsLIZPpqXZTUw+lYqB1AN4XXmrHSI+PR65W+52j/Af8fvzBZsP309KoeqPaamwIuUNI+YSe5rW39zAMhhLI5bMwMeOgUBD5OB/ZzdmzZ/HixYtZqf4wPlz5IUJcCNX3+Y9mHz5MvDEXL+bxZLmcjH8LoPzv9N3Brd5bs1L9YbyfnAwJwwjbvB0+THRtmzfP+lSGYZBSlYL+L/oR8tKh/PX6IkilGuqeqQ0NDbBTCgYpLydN6eMizqnuXLgTKrkK9e31sz959Wrg7l3SJX8D8O0sUmUyYko7A1w+F851nUNRZpFoh3Y4gIYG+lP969evx3JK3lYeTyeczkvUqX7FPAU0O3l2c9LTSeXPczBowO+HlWUFDYZ8suYTvBx6ibNPz/L7g2PHALWaZC7ygFZLmq58Z5tcPhdOPjzJq4saxieffILh4eFZqajPPyeszvuzD0VPgESiQErKQfT1fQpuNtooShg/MIJRMFS7LQDwg7Q0nBscxMNZCvpvEz7t64M/FMKfpNLTiQJA3+E+aHZpEL9YQJteANzuBxge/gqpqfyp/jAqKwlj/uDBzM87fPgwMjIysG3bNl7rzlHPQfaibBy9y6846u8nQ1M8a2CCqiqig798mdfTP739KbRxWt73OINcjgKdjv+Uv8dDxJOHDvFOrEmpSkHQGQRbL6IZ6Dj8/+x9d3hU5fb1mpn0Qnon9N4UBaQritJsdEJQSkBA1N9FxX6vIMr1qoAXqSYBQUNHpRpAmVQSSIBIhzRSJ723ycyc/f3xMkDC9Dkvev1cz+Ojnjmz30wy55z97r3W2lKpPXx8JqKkZDc3B4+pU6dCEAT8aInIwAR4eLDNlJjFWjuZHZ7s+CSOZx43fnKfPuxvm50t3g9gBf6aSWr37mzbbAAxt2LQrGnGmM5jRFv6p5+Yz9kUPoJ41NXV4fDhwwgJ4TgBqnQvpFJHeHkZ5llaCtIQSvaVwHe6marfmTPZDsAEL7+D5eVQEWGqGUnq4LaD0cmjk+kt/9272WxtM/rlM2cyIayxByQAHE0/igZVg04Df33o3LkzBg8ebLTlv2sX8MwzrHtoLnx9Q6FU5qG62nLvWkOwdbeF17Ne3Fv+E7294WFjg63/H1VTIxUKTPDygr+9vfGTLURzcTMqTlbAN5RvFVUmc4On5wSz3zt+PGv57zKg/2tqasL+/fsxc+ZMsyrO03tPx6nsUyipN57k7d3L8rqpU00Oz/gK/v4mtfwFErDz0k5M7TUV9jam/71n+PoioboaeU1Nxk8+epRNrDGJr8Dg3MsZzn2dUbKHb8u/sTEddXUXuMT38/PDk08+yb3ln5Rk+ShfXRjTeQwSchNQqzTibKKlSv5JWv5/vST10iWTWv3HM4+jg3sHdPPqJtrSe/YwL+PAQNFCtsDhw4fR2NiIabwIr2Ctfi+v52Bjw0fwUBVbBVWxyvRWvxbTpt314zOC3SUlGOHmhiAzHsYSiQQz+8zE/qv7oVQbaTVfvszaIWa6K0yYwJxkTKGN7r68GwMCB6CTRyez1ggNDUV0dDTK9CTzublAYiJjUFgCN7ehsLdvz73lX3ehDvVXzXReNwMOMhlC/fywvbgYaoFPVfjPhLTaWpyvq+MumCrZU8LaulP5JKlEhOLiKPj4TIZMZj5Ny9GRCeV37dLfNT927Biqq6sx04zkCwAm95oMCSQ4cNW4NDsqijlLeZvjfCiTsfvgnj1GW7FJeUnIqc4xudWvxQve3rCXSEwbH7xzJzOBNtK1bA3fGb4oO1gGTT2fdrK7+1OwtfXm3vKXy+VQcNrkPv880+RaOWisBcZ2GQu1oIb8ltzwif7+bDDDn8SG6q+VpBKZrOyPzojGmM5jRONmlZayiSYcXaGwa9cuDBkyBB1MIjGZD9ZGu8C91e/QyQGuA8w0+PbxYXd1IxleWXMzTprZ6tdiZt+ZqFZW41j6McMn7t7N+vfPPGNWfAcHxk2NijJMK6tR1uBY+jGzWv1aTJs2DUSE/XoITbt3s5/jBf1TJA1CIpHCz28mSkv3QRD4jBf1Gu8FG3cb7tXUMH9/FDU345iYcwj/pIgsKoK/nR3Ge+oZnCESiqOK4TneE7ZexsVGlqCm5gyamrIsavVrERLChPIX9BTadu7cif79+6Nnz55mxfV28sZTnZ4yqvLPymJVMrNa/VrMmMGM1o1M4Yu6FIW2bdpiRPsRZoVvY2OD8V5e2GOs5V9ZySqpFnwI3+m+EBoElB/lw+mUSm3g4zMVJSV7uNGSJk6cCBsbG+yzdEqLEbi6sqKGmMb+nT07o7NHZ+O8VInkTyWe+mslqUVFbPCtkSQ1qzIL6RXpovJRtb5mWp8zsVFZWYno6GjO3qh7IJO5wtNzHJf4QrOA0gOlzODbks3BzJmsDHjrlt5TDtyuIE72MX8UY0+fnujv399wy5+I3TkmTTJKKdGF0FD2kDJEKzt04xCUGiWm9Ta/Yu7r64unn35ab8t/1y4mmDLBkEAv/PxCoVZXoqLCilmvBiC1l8Jnqg9KdpaABH6ToR52dcUjLi5/eQFVk0aDqOJizPbzg42U3y2/Ib0BtWdruXuj2tkFwt39cYtjPPUUq2DqavlXV1fjyJEjJgumWmNG7xmIy4lDYa1+afbOnXennZqNwYOZKtdA9qLSqLD3yl6E9AmBVGL+33uGry9SamuRaWj8548/sgErFggwHDs7wnWgK3eVv1KZi5qaZC7xPT09MWbMGO4t/9RUICNDvJhju4xFdEa0cb6udjzqnwB/rSRV+0s1Yj91POM4bKQ2oo5C3bOHuYRYkBuZhL1790Kj0WCqWSQm08HaaN/D23uiRW00U1B+rBzqCrX5rX4tXniBGQ0bIJR9X1SE0R4e8LUggQSYZ+qRm0f0T49JTmZ3DQv75Y8/zsbfGRJQ7fh9B4a3G452bpZZRISGhiIhIQE5OTktjl+/zkQj1lKanZ17w9n5Ie4t/6ZbTag+zWeMohZhAQE4Wl4OhZKfm8AfjZ/KylCpVmPeA/BGlbnK4PWcBWRnEyAIKpSU7IGvbwgkEpnFcWxtGRd0926gNdPjwIEDaG5utrgYMLHnRNjJ7BB1Ufe1QcQ6KS++yBJVs6GdwrdnD6CHN3oi8wTKG8vNbvVr8ayXF1xkMnxfVKT/pKgo9sCzkNvmG+KL8qPlaC7j041xcxsOe/u2KCrawSU+AISEhCApKQnp6elc4k+YwL4jYlZTx3Qeg+yqbGRUGMl8+/Rh7YY/wX3xr5WkXrrESEcdOxo8LTozGkODh5rkHWcKsrOBmBgL2zcmIiIiAuPHj0cApwdNVVUsGhszEBAQxiU+ACgiFHAd6AqXvhbyXV1cWKKqJ8O7Wl+PxJoaq3h3M/rMQLOmGT9e06PcjIgA2rc3OF3FEGQyliTu2cNEdq2RXZmNk1knEdbf8r+Ddoxj6zGpu3YBbdoA40QolPv5haK8/DDUaj6TV9xGuME+2B4lUXxV/jN9fWErlWJHMV9qwR+JSIUCI9zc0M3AaE9rQUQoiSqBz2QfyBwtTyANobLyV6hUpVa1+rUICWF22omJLY9HRUVh1KhRCAoKsiiuu4M7JveajIgLETqrVWlpbLNo1bNi3jzWMfz5Z50vR12KQi+fXujnZ2iMlX44yWQI8fXF1qIiaHRV3AoK2APPTM7uvfCb5QcQUPwDn+tOIpHC338OSkp2QqPhw22fOHEi3N3dsXXrVi7xnZwYf3r7drMHjenFqI6jYCu1Nd7y79OHPaBMUflyxl8rSb18mU0nMtDSatY041T2KVFV/du2sfYpL1V/WloaUlNTsWDBAj4LAFAowuHo2A1ubuZxmExFU34TKn6pQMACK5Ps0FD2d754vylxpEIBb1tbPG+WGqElgtoE4YkOT+hu+dfUsPJLWJjB75gxhIYyr9JfdYxS3pa2Da52rpjay/KKuYuLC1544QVERd0d9UrEktRJkxgn1Vr4+oZAEJQoLeVjwyKRSuA70xcle0sgNPMTNrnb2mKytzciFQoInCxr/khkNTbit6oq7oKp2pRaNuaYs6rfyaknXFwetjrWsGFA27YtmzIFBQWQy+UWt/q1mN9/Pm6W30RC7v280ago1m0zMsTKMLp3Z0r/iIj7XqprrsPBGwcR2jfUKr3F/IAA5CmVOKmLr717N6M6WcFts/Oxg/eL3lBEKLhZRfn7h0GjqUNJCR/eqKOjI2bNmoVt27ZBpVJxWSMsjFlyG6EgmwwXOxcMbzfcuBWVljL5J2j5/7WS1KtXjfJRT+edRl1znWh8VI2GJakhIRa2b0xAeHg4AgICMN5ET05zoVJVoLT0AAIC5nMz+S7aVgSpo9TyVr8WWu+kVpxLpSBgR3ExXvbzg72VvLvQvqE4lX0KitpWXEVti23OHKvi9+8P9OhxvwZMI2iwLW0bQvqEwNnOui9TaGgorly5gou3k/nz59nNTiz3MgeHtnB3fxwlJXxb/uoKNTdPRS2WBAUhvbERB02wN/tfw1d5efC2tcVUXjyk2yj+oRh2AXbwGMVnAIhGU4+ysp/h52dd8qWFVMq65vv2MWolwDyo7ezsMNlKYcHjHR5HZ4/OiLwQ2eK4RsOSYhMmiBrH/PlMqZuV1eLwwesH0aBqQEgf6y70ga6u6OvsjAhdfO2oqLtWJVYgYH4AGq40oCaZTzfG0bEDPDxGQ6EI5xIfABYsWIDi4mIcMWWMmQUYORLo1AmIjDR+rqkY22Us5Lfkhl1s3N0ZleMqn8ld5uCvk6QSsV9or14GTzuecRy+zr542N/63TjAqmH5+awDwwMNDQ2IiorC3LlzYWP1nU03iot/AKCBv/9sLvFJICgiFfCd7gsbVys/g60ts2HZtasFoexgWRnKVCrMF6FiNLnXZNjKbLH7citSfEQEc1kODrYqvnbS608/sUFaWpzIPIH8mnzMf2S+VfEB4JlnnoG3t/cdAdWuXYCvr8UsBZ3w9Q1FZeUpKJV8hEcufV3g3M+Zu8p/iJsbHndzw79zc7lVdf4IFCmV2KpQ4B9t28JJxqcFDwCCWkDJnhL4hvhCIuOzyS0rOwhBqIevr+Ut5tYICWG2y7/9xv4/KioKzz77LNysTL6kEinm9Z+HvVf2tuC2a0ddikILmzKFJYmtWs1Rl6IwNHgoOnoYprwZg0QiwYKAABwsL285JvXaNWaLIMKH8BjtAfv29lBE8BMuBgQsQE3NadTXX+ESv1+/fhg4cCAidFS1xYBUynKLfftYI08MjO0yFg2qBp2V/hbo1YtZLf7B+OskqXl5zFi4d2+Dp0VnRuOZzs9YpHrUhchItuSgQaKEuw/79+9HdXU1wsL4cEWJCApFOLy8XoCdHZ9WXeWvlVDmKK1v9Wsxcyb7e9/TA4lQKDCsTRv0FKGc7e7gjgldJ7Rs+V+8CJw9yyoYIiAkBKivB+4dDhVxIQL9/PphQOAAq+Pb2tpi2rRp2LVrF9RqAXv2MLGImPscH58pkEhsuPoR+oX6ofxQOdQ1Ogi8IuL99u2RUluLU1VVXNd5kPg6Px92UimW8DJuvo3KXyuhKlFxVfUXF0ehTZuhcHS0Lvm6F/37A926se71tWvXcOHCBatb/VrMeXgOlBoldl2+yyeIimJVscceE2EBJyeWKG7bdofcXlJfghOZJywWTLVGqJ8fZAB23Cug2rmTJccidPUkUgkCwgJQsruE2/Xt7f08bG29oVCIWIpshQULFiA6Ohp5eXlc4s+Zwxp4Ygmo+vr2RYBLgHFeau/efyepokJbljaQpBbVFSGtKA1jO4vT6i8rY9z1sDCTp8KZjfDwcDz11FPo1Mk8U3dTUVt7FvX1lxEYyJHvGq6AU28ntHlMHKEahg5l4qXvvwcAZDc24mRlpShVVC1C+4binOIcrpVeYwciI1kp8tlnRYnfuTNzk9lxW3xaUl+CQzcOIax/mGiUi9DQUOTn52P9+hjk54vX6tfC1tYdXl4TUFy8g1sF0jfEF4JSQOk+M+aJW4BnPDzQ38UF/27liPC/iiqVChsLC7E4MBDutnw8S7Uo3lEMpx5OcOnPZwBIc3MxKiqOiyKYuhcSCbsmfvoJ+O67H+Dm5iYapSrQNRATuk640/JvaGCz2GfOFPFZMX8+K81Gs2RD2/mxhs9+LzxtbTHZxwcRitu8UUFgmfbkyeIQ2wH4z/WH0CRws6OSSu3h5zcbRUU7IAh8lOozZsyAo6MjNwFVUBBr4InV8pdIJBjTZYxxXmrv3kBmpl4XiQeFv06SeuUK212202/bcyLzBADg6c7WsNbv4ocf2L9nzRIl3H24du0aEhISuAqmCgvDYW/fDh4eo7nEby5pRtnBMgQuCBSP76rtgezaBdTUYFtREVxlMrPGoBrDs92ehY+TD7ac28Iu0u+/Z1taER/4YWHs+XLrFrOdkklkmNVPvC/TkCFD0KNHD6xfvwXBwcCQIaKFvoOAgDDU1aWhtjZF/OAAHIId4DnGE4Wb9ftOigGJRIL327XDb1VVSBGrr/YHYmNhIZoFAUvbtuW6TnNJM0r3lyJgQQA3PrtCEQmp1A6+vuKPgw4JAWpqmvHtt5GYNWsW7EUcGRvWPwyphan4veh37NnD2rVz54oWnpWCH3kECA8HEWHLuS14occL8HEWj3+8ICAANxsbkVBdDZw8yaxsROzqObR1gOc4TyjCebb850OtLkdZmW43BGvh6uqKGTNmYOvWrdAYmQRmKebNY97aYhU2x3Qeg0sll1BQU6D/pF692MbkD1b4/7WSVCPK/uiMaDwa8Ch8na1PZogYHej55/l5o0ZERMDLywsvvvgil/hqdS1KSnYjICDMKt9BQyjaUQRIbluOiImwMKCpCZodO7BVocBMX184i8i7s7exx7z+87D99+1o2L+LTVgRqdWvRUgIc4XYsoUQeSESE3tOhKejeBOBJBIJFixYhMzMH/Hss0XWGBLohafnWNjbt0dh4Sbxg99G4KuBqE2tRU0K3+Rxko8Pujk64t9iDsz+A9Cg0eDr/HzMDQiAv4hJly4otiogkUngP8efS3wiDQoLt8DXdwZsbcUXZXXvDnTo8DOqqoqxePFiUWOP7zoe/i7+iLwQiU2b2MA80Rti8+cDR48i/vxPuFp6FYsHiPsZHnd3RxdHR4QrFMDmzcyDXOTdbuACdn3XphmZKW8hnJ17wM1tOAoL+QqocnNzcfLkSS7xn3uO5RliVVOf7vQ0JJAYrqZqu9J/cMv/r5OkXr1qsNWvETQ4kXlCNOup1FRmy8qJKgqlUokdO3bg5ZdfFnV3fy9KSnZDEBrh7y/m9v4uiAiKCAV8JvuIPyYxKAh44QXUb9yIAqUSCzjw7hY+uhDVTdXYfewL5sLftauo8Z2dgZdfBrZEqHC9KBPz+4ubBANAu3azAdhCIuHDyZJIZAgMXIiSkt1Qqfio8L3Ge8G+nT0KN/GtpsokErzTrh1+KivDtXo+3ooPAlsVCpSrVFhmpcDPGEhDKNxcCN9st+sWAAAgAElEQVQZvrD15EMpKC//BUplLgIDxU2+7oVUugkSyQgEBxvWM5gLW5kt5jw0B9uOXURKCrBokajhGUJCADs7bD62Al09u4o6oAZgG90wf3+cvnIFdOgQsHix6Nw2z/GesPO3Q1GkgeEBViIgYAGqqn5DY2OW8ZMtwKBBg9C3b1+Eh/NJhO3sgJdeYg29ZhHmH3g5eWFg0EDDSeqfROH/10hSTVD2n1ecR3ljuWjWU5GRzGfPzPHtJuPgwYMoKyvj7o3q6TkWDg58HmbVidVovNGIgPmcPBoXL0aba9cwJzMTj7iIz4fr6NERYwNHYrPLddGrqFosWgRUltnBJ3chRnUcJXr8w4fd4eYWgiNHvuXWigoICAORBkVF27nEl8gkCFwYiJJdJVBV8vEj1OIlPz8E2dnhP/+j1VSVIODLvDzM8PVFJ0dHrmuV/1IOZY4Sga/yE2YVFm6Ci8ujaNNmIJf4165dQ1ZWDIgW4+BB8ePP6z8PdadD4elXjwkTxI8Pd3eUTH8W+1UXsejRhaIJgu/FbH9/zD58GCpHRy7cNqmtFP5z/VH8QzE0jXzuUT4+UyCTuXETULGu1QIcOnQIxZwGg8ybx3Qwhw+LE29s57E4mXkSGsHA7/xPoPD/aySpJij7j2ceh6udKwa3HWz1cg0NjA45Zw6bIMQD4eHhGDZsGHr27Mklfl3d76itTUFAAJ/kC2CCKYdODnB/wp1P/GHDkB4UhPeOHePGh1uU44OUIODcMPFUxfciuEsNpB3i4XzxbdEfMI2NTBQybdpi5Obm4tixY6LG18LOzhc+PpNRWLiZm4AqICwApCEUfcev2gIAdlIp3goORlRJCXL/YMGAJdhVUoJcpRLvGeDmi4XCTYVwedQFbQaKJIhshcbGbFRU/IKgIH5V1M2bN8PHxwdDh04yOKrYUvjadIX08iy4DdsrqrPGvdj6lCekBMyu68wlfoBUiiW//IJDY8aAOBQDAMB/nj/UVWqUHuAjkJTJnODnF4qiom0QBD5OAqGhoZDJZNi+nc9mvXdv5gwhVst/TJcxqGyqREqhAT3Bn0Dh/9dIUrW/RANJanRGNEZ3Gg1bmfVtqQMHOJDg70FWVhZ+/fVXzOdUvQMAhSICtrZ+8PISR63eGqoqFUr3lSJgfgAkUj4J5PaSEkS+8AK6HT0KlHK4uanVmLA1HsEaF2y6tE38+GCKXBqwCbfS2oveVdm7l+3d3n13AAYMGIBNmzjyRgMXo7HxJqqqTnGJb+dnB58pPijcVAgS+HqZLggIQBuZDF9xspThBYEIn+fm4lkvL/TllExo0ZjViIpfKhD0qmXjQ01BYeEWyGRt4Os7g0v8+vp6bN++HWFhYZgzxx4nTgBimzvs2AFIBHtkd/wAmRWZ4gYHIJCALeXHMT2vDby285mshMOH4VlaipXjxuF8XR2XJZy6OMF9lDtnAdUCNDcrUFHBZ7Pu6emJKVOmICJC90hcMRAWBhw/zrzZrcWgoEFwd3A3bEX1J1D4/zWS1KtXDSr7q5qqkJyfLBofNTISGDWKAwn+NrZu3Yo2bdpg6lRxrERaQ6NpRHHxD/D3nwOplA+XrGQnG2fJT1BBiFAoUDNrFquibuOQRB49CpmiGK/0fhm7Lu9CVZP4HpoR5yMw9rkG+PoyXYKY2LCBWZd07gwsXrwY0dHRyM7OFneR23BzGwEnp94oKOCYCC8ORGN6IypPVXJbAwBcbGzwRtu2iFAoUCoGAewB4VBZGa41NOD9B1FF3VIIGzcb6yfI6YEgKFFUFAl//9mQyfiM8tu9ezdqamqwcOFCzJwJuLgAW7aIF58I2LQJeP55gpt3I7ZeEN+i6HjGcdyquoXFPV9m1RNdY0ytxebNoMGDUd6rl+4JVCIhYEEAquOq0XCzwfjJFsDV9WG4uDzKfQJVeno64uLiuMSfPp25f333nfWxbKQ2GN1ptGFe6p9A4f/XSFKNKPt/y/oNGtJgTBfrk9SMDCA2lp9gSq1WY9u2bZg5cyacOc1ZLS09ALW6CgEBnD4EAEWEAl7PesE+gI/oK6aqCplNTZjRsyebQLVlS4sJVKIgIgJ49FGEjf8IzZpmfP/796KGv1h8ESmFKVgwcDbCwoDt25nBvxhISWH/vPoq+/8ZM2bAzc0NW8R8Ct8DiUSCwMBFKCv7GUolH4GT23A3OPdxRuFGvgIqAHg9KAhSAP8Vo2TxAEBE+HduLka6uWGolROTjEHTpEHR1iL4z/GHzIkP36m09ABUqjIEBvJQGzFs2rQJ48aNQ4cOHeDszOhbERGAUiQ7zbg4NqDptSUyhPYNxXe/fwe1yK3mzec24yG/h/DYnI/Y3FWtL6JYSE8HTp6EZPFizAsIQFRxMeo5cdu9J3rDxtMGikh+iXBg4AKUlx+DUmnAeskKjBw5El27duUmoGrThg1l2bZNnMfd2M5jcbbgLMobynWf8CdQ+P91klQDrf5j6cfQw7sHOrh3sHqpbdvYwI1Jk6wOpRPHjh1DYWEhZ8HUt3B3fwJOTuKq1bWoSa1B3YU6foIpAOEKBbo6OmKEmxtTH2VlMR8/sZCfDxw7BsyfjwDXALzY40VsSt0kahsn4nwEfJ198Wy3Z/HKK6w1v1uk4U0bN7J5B1pvcicnJ8yePRuRkZFQivUUbgV//5cglTpwq1RIJBIEvhqIsoNlaMrn237ytLXFwsBArC8oQIWKr1hLDJysrMTZ2toHUkUt3V8KVZkKgYv4Cqbc3UfB2ZkPJz8lJQXnzp1rYTv16quMNbR/vzhrbN7MJlqNGgXMf2Q+CmsLcSxdvFZzbnUujtw8gsUDFkPi5we88AIQHs5KuGLh228BDw9g6lTM8/dHnUaDvSV8jPdlDjL4veSHou+KIDSLXHC4DV/fkNv3KD7G+xKJBPPnz8f+/ftRXq4n8bMSYWHscRcba32ssV3GQiDhjof8ffgTKPzNSlKVSiXeffddBAYGwsnJCYMHD8avv/5q9H1FRUV47733MGrUKLi6ukIqlSJWjN8wYFTZT0Q4lnEME7paL61UqViZPTQU4CWcXbNmDQYNGoRHHnmES/yamlRUV8cjMPBVLvEBIH9tPuzb28NzrHien/cir6kJ+0pLsTjw9oCAIUOAfv1Yb00sfPMN6//NZLPCFw9YjGtl1xCfGy9K+MrGSmy9sBULHlkAW5ktOnQAxo0T5yOUl7Nkd9GilsK+RYsWoaysDAcOHLB+ER2wsXGDn18oCgvDuYkT/Gb5QeYk48pd00Jr4fRuFh/bGrGgFAS8np6OEW5uGOPJ55q7F4UbC+Ex2gNO3Z24xK+ru4Tq6gSutlObNm1C+/btMW7cuDvHuncHnnqKbfCsRXEx674vWsQcm/oH9MdjQY9hbfJa64PfRvi5cDjbOmNmX3aPwuLFwOXLwG+/ibNAUxOrysydCzg6ooOjI8Z5emJtfj43zmXgokCoSlQo3slHIW9j0wZ+frNQWLgRGg2fje6cOXMgkUiwWWz+1m0MH87cECMirI8V1CYID/k9hGMZBjZPf7DC36wkdc6cOVi7di1eeuklrFu3DjKZDOPHj0diYqLB912/fh1ffPEFFAoF+vXrBwDiqbHz8oC6Or2V1AtFF1BUVyRKknrgAJtCt3Ch1aF04uzZs4iNjcU777zDZwEAeXlfwsGhE3x8+JSCm3KaULKnBMFvBUNqw6dQ/3V+Ppyl0rtjUCUSdoM+fFgcRnlNDSuDLFzI+isARnUYhW5e3bApVZxEeHPqZqgFNV4f9PqdY4sXA+fOsTa9NdC2glpTUnr06IFRo0ZxF1A1NxegvFwkn5RWsHG1gd9LflCEKyCo+FRbtPC3t8e/O3VChEKBhCrx+chi4fPcXGQ3NWFzt27cXC60qE2rRU1SDWfbqc2ws/OHtzefISaVlZXYvXs3XnnlFcha2bMsWQKcPg2kpVm3xtatbIM4e/bdY8uGLkPMrRikFqZaFxyASqNCxIUIzOo3C672ruzgk0+yKVRffml1fACspFxe3uKBtyw4GJfq63GcB/cVgHMPZ3g974W8L/O4CSSDg99Ec3MxiotFpkbchq+vL+bMmYN169ahsbFR9PgSCdv87N0LFIjAWpjQdQJ+Sf9FvxXVH63wJxNx5swZkkgktHr16jvHmpqaqEuXLjR06FCD762traXKykoiItq3bx9JJBKKjY01uua5c+cIAJ07d07/SceOEQFE2dk6X14Zu5JcV7mSUq00up4hCALRgAFEo0dbFcYgpkyZQl26dCG1Ws0lfkNDBsnlUsrP38AlPhHRzf+7SfGe8aSu4/MZKpubySUujt7PzGz5Qk0NkYsL0b/+Zf0iX35JZGtLlJ/f4vCa02vI9hNbKqotsip8k6qJ/L/ypwWHFrQ4rlYTtW9PNHeu5bE1GqJOnYhmzdL9+t69ewkAXbx40fJFjODcucGUlvY0t/i1F2tJDjkV7yvmtoYWGkGgx1JTqdeZM6TUaLivZy5u1NeTXUwMfdD6euCE669cp8SgRNKo+PwuVKoaiotzoaysj7jEJyJau3Yt2draUlHR/dexSkXUti3RggU63mgitNfxnDmtjmvU1GVdF5q2b5rlwW9j35V9hOWgi0WtruOdO9nz8MIFq9egoUOJnnqqxSFBEGhgaio9KUZ8PaiMryQ55FR6uJTbGpcuTaTk5G4kCHy+x+np6SSRSGjz5s1c4ldVEbm6Er3/vvWxEnISCMtBSXlJuk/49lsiqZSosdFgHJPyNQtgcqlr//79sLGxwSuvvHLnmL29PcLCwpCUlIQCAym9i4sL3N35eGUaU/YfTT+KZzo/AzuZnVXLJCayKVNvvmlVGL3IyMjAgQMH8Pbbb9+3uxcLeXlrYGvrCX//OVziq8pVUIQrELQkCDJnPp9h8+2Z5G8EtbK+cXVlRtPh4YyXYSmam4Gvv2acjlZrzH54NmRSGbalWeck8MPFH1BcV4y3hrzV4rhMBrzyCmvVV1ooYD9+nPGVlizR/fqLL74If39/bq0ogFVTKytPoqEhnUt8l74ucBvu9kAEVFKJBFu6d8eNhgas/pNZUhERFt+8ibb29viofXvu66mr1Sj+oRiBrwRy65IUF0dBo2lAQMArxk+2AESEzZs3Y9KkSfDzu39Us40NKxxGRQGWFs+jo5mVVespqzKpDG8OfhP7r+5HVqV1FJJNqZswLHgY+vr1bfnC1KmMjP7VV1bFx8WLrKTc6kNIJBIsCw7GqaoqpNbwGVPsNswNbYa0Qd6X/K634OB30Nh4E2Vlh7jE79KlCyZPnoyvvvqKyxAVNzc2X2bLFuvFtoPbDoanoyeO3jyq+4Q/WOFv8p3mwoUL6NatG1xa+e8NHMgmgaRZ2x+xFAaU/WUNZTiTfwbju463epm1a4EePdj8ZR5YvXo1fHx88PLLL3OJ39xciqKibQgKeh0yGR8uWcGmAkAAgl7j452oFAT8t6AAL/v7655JvmgRoFBYN5Jj1y7WQ3n77fte8nT0xPTe07Hl3BbDUzoMQCABXyV9hee7P4/u3t3ve33ePJZjW+oHvXEj6/g99pju121tbTF//nx8//33qOPkeejjMw02Np4oLOTjJAAAga8Gokpehfpr/MeXPuTigqXBwfgkJwdZHNp3liKquBinqqqwsVs3OPKaKnIPinYUgZqJmyCSiFBYuAleXs9ym4Inl8tx48aNFoKp1pg/n+1VLb0GN21i1+BAHUOy5jw8B56OnlibZDk39UbZDZzKPoVFA3Q4H9jYsErK7t3Wmb5u3gwEBADPP3/fS5N8fNDJwQFfctq0SSQSBL8TjOq4alQnV3NZw81tMNzcRiAv7z/c+LXvvPMOMjIy8PPPP3OJ/8YbbCO1Y4d1cWRSGcZ0HqOfl/oHK/xNTlIVCgUCAu6/OWmPFRbyr2rohAFlf3RGNAiEcV3G6XzdVGRmssk9S5fqdbmyCsXFxdi2bRveeOMNOHJSZBUUbAAgQVCQnhKbldA0alDwTQH85/rDzte6qrU+/FBcjOLmZrytbyb5Qw8xEdX69ZYtQMQqEBMm6P1OLR6wGLeqbuFoup5dpxEcvXkU18uuY9nQZTpf9/dnzhEbNzJHGXOQnQ0cPcpUyoaoiQsWLLhjZM4DMpkD/P3noqhoK9RqTonwJB/Y+toi/78PxiJqeYcO8LW1xZL0dG4PNXNQoVLhzcxMTPfxeSBiKdIQCtYXwPtFb9gH8rGVq66OR339Ra6CqW+++QY9e/bEyJEj9Z7j7w9MnsyuQXNtfjIzmSmIvhH3jraOeG3ga9iatlW/7Y8RbEzZCC9HL0zpNUX3CWFhrNT29dcWxUdVFRsSHxYG2N7voy2TSPB2cDD2l5Zy27R5P+8Nx26O3KupNTXJqK42rKmxFAMHDsQTTzyB//yHTyLcoQP7nq5da70d1YSuE3BecR6KWh2C1D9Y4W9yytXY2Ah7HdUrBweHO68/cGiV/XoSimPpx/BIwCMIcLVu579uHeDpCbz0klVh9GL9+vWwsbExuLu3BhpNPQoK1iMgIAy2tl5c1ijeUQxVmQpt32zLJb5AhK/y8vCCtze6OxmoBL/1FiCXA0lJ5i8SHc3UsQaEa4OCBmFY8DCsil9l0Y3ny9NfYkjbIRjWbpjec956i9kTmmuFs2UL03ndNiTQi3bt2mHatGn44osv0MzJrL5t2zeg0dShsJAPrUBqL0XbpW1RtK2Iux0VADjLZFjftSuiKyqwj8d0MzPxXlYWlIKAtV26PJD1SvaWoPFmI4Lf5VPhBICcnM/g7NwHnp7PcIl/+fJl/Pzzz3jrrbeMCsyWLAFu3gROmTlA7fPPAR8fwyPulwxaAiLCxhTzbQSK64oRfj4crw16DQ42DrpPcnZmO9XwcMt4Q+vXs3aOPs4QgDn+/vC0tcUaXtVUqQTBbwej7Kcybub+Xl7j4eTUC3l5X3CJD7BqakpKCjdz/6VL2bPiqGU1kzsY02UMJJDgl4xfdJ/wR4qnTCWv9u7dm0brUA1duXKFJBIJffvttybFsUQ4NXLkSHruueda/LNz506inBxGEj9y5L73qjQq8vjcg/556p8m/Vz6UFlJ5OxM9E/rwuhFbW0teXh40D/+8Q8+CxBRXt43JJfLqKEhm0t8QS1QcpdkujzlMpf4REQHS0sJcjklVlUZPlGjIerZk2jCBPMXeeIJokGDmErOAKLTownLQSczT5oVPjkvmbAc9OPVH42e+8wzRH36sI9jChobiby8iEz9Gl26dIkAUGRkpGlvsADXr8+nhAQ/UqsbuMRX1ago3jOebr5+k0t8XZh46RL5JyZSlUr1wNZsjfjKSoJcThtaCft4QdAIdKbnGfp9/O/c1qiuPkNyOai4eDe3NUJCQqhdu3akVBoX0QoCu/5efNH0+Dk5TG/5xRfGz331yKvk84UPNTSbd228e/Jdcl3lSuUN5YZPLC4msrcn+uwzs+JTbS2RpyfRa68ZPXVFdjY5xsZSqQm/T0ugblRTgl8CXV94nUt8IqLCwm0kl4Pq6q5yiS8IAvXp04fGjx/PJT4R0eDB7NFlLYZEDKFJeybpfvH//o+oa9c7/7tz5877crKRI0dyEU6ZnKSOHj2aevXqdd/xX3/9lSQSCR3RkSjqgqjqfgPKfqOKNRPxxRdEdnZECoVVYfTi66+/JplMRjk5OVziazQqSkrqQFeuhHCJT0RUsr+E5JBT9dlqbmsMP3+ehpn65f/hB/a9MOdiOXuWvWf/fqOnCoJAA74dQI9ve9z0+EQ0ec9k6rquK6k1xp0P4uPZj/Pzz6bF3rGDnX/jhuk/z8SJE6lz586k4pRwNTRkklwuo7y8/3KJT0SU/Uk2xdjHUFNhE7c17kVeYyO5xMXREnN+0SJCqdFQ7zNnaFBqKqmNbKbEQvHeYpJDTlVJRjaIVuDixWcpObk7CQIfV5AbN26QVCqljRs3mvyeTZuYqDk317Tzlyxh+V1trfFzM8ozSLpCSptTTFd/lzeUk8sqF3rv5HumvWHhQiI/P6Oq7Bb44guWaZvwPCpVKskxNpaW63HWEQO3Vt2iGPsYUhbxSYQ1GiUlJgbStWvzuMQnItqxYwdXR5W9e9m9//x56+IYdEIyQeH/h6v7+/fvj5s3b6K2trbF8TNnzgAAHn74YbGKu6bjyhXW2tCh7D+afhTeTt4YGKiDvW4iVCrW6p85k/GUxIZKpcKaNWsQEhKCdpwmxZSW7kdT0y0EB+vmQFoLIkLuF7lwf8IdbQa24bLG6epqJFRX4x1Tf0fTp7OB9Z99ZvoiX34JdOkCvGjcm1EikeCjER8hNicW8TmmmftnVGTgx2s/4q0hb0EmNS5yGT4cePxxYOVK0wbIbNgAPP00m3BjKj766CNkZmZiz549pr/JDDg6doKf30zk5n4BQeAz5Sro9SBIHaRcuWv3oq2DA1Z26ICNhYX4hdNEGUP4KDsb1xsasKVbN8g4e6ICAAmEnJU58HjaA26D+Yxbra29gPLyI2jf/kNIJHwEYKtWrYKfnx/mzp1r8ntCQ9njxZRJwgoFM1dfupTNADGGzp6dMannJKxOWm2yCPO/yf+FRtBg6ZClJp2Pt94CSkoYv9QUNDYyTv7s2Xrdcu6Ft50dwgIC8E1+Pho4jUoNXBQIiY0E+d/w4Z5LpXZo23Ypiou/5zbOecaMGQgODsZX1jou6MHEiczQYa2VcyImdJ2A2uZaJOQm3P9i795/nMLf1GxW65P61Vdf3Tmm9UkdMmTInWMKhYKuXbumtzojaiV17lxmXqoDD216iGb9qMcs0kRoLed+59Tl+uGHHwgA/c5pAUEQKCXlEa6elZWxzNOu7FgZtzVevHSJepw5QxpzKkcREeyPd9kECkJGBtslbtpkcniNoKG+G/vSM98/Y9L5iw4vMru9d/Ik+wi//GL4PG0R2NSq672YMGEC9ezZkzScPEDr6q6RXC6hggI+foFERFn/yqJYx1hu1ZbWUAsCPXfxIjnGxlKCMfqJiPgyJ4cgl9NaU0t7IqDkJ9YlqYyv5LbGpUuTKSmpE2k0fCr6WVlZJJPJaO3atWa/97XXiHx9iRqMXLZvvUXk5sb8K03FmfwzhOWgA1cPGD23qrGK3D93p6XRS01fgIho0iSibt1M4w2tW0ckk7H7oYnIamggKWfqSfrSdIp3jydVLZ/vh0pVTXFxbSgj4x0u8YmIVq9eTTY2NpTL6dpds4bIxuY+a2+zIAgCBXwVQG8df+v+Fysr2UMmKkrv+3lVUk1OUomIpk2bRra2tvTOO+/Qli1baOjQoWRnZ0fx8fF3zpk9ezZJJJL72tcrV66klStX0owZM0gikVBYWNidY/pg9EMPGkQ0e/Z9h/Oq8wjLQbsu7TLn47UAb/N+QRCoX79+NHbsWD4LEFFFxa8kl4PKy83jTpqD3yf8Tmf7nCWBU+vxen09SeRyiigsNO+NSiVRcDDRzJnGz331VSIfH+NPolbYfWk3YTnoTP4Zg+cV1xWTw6cO9EnMJ2bFFwTGNxo61DBNdsIEou7dmYm4uUhKSiIAtG/fPvPfbCIuX55OSUkdSKNp5hK/ubyZ4lzjKGOZ6Q9Xa9GgVtPI8+fJPT6efjelv2slIgsLCXI5ffiATPuJbm9y+6fQhVH8jNvr6i6TXA4qKAjntsYrr7xCPj4+VF9fb/Z7MzJY3mYovy0pIXJyIvrIgvkDI7eNpMERg43eP1fFrSK7lXZUUFNg3gLJySy5+Oknw+c1NbEpBi+9ZF58Ipp++TJ1SkoiFaeNbmNOI8XYxFDuWn6bs4yMdygurg2pVHw2nTU1NeTm5kZvvvkml/jV1eKY+4cdDKMe63vofjEwkOjDD/W+90+RpDY1NdGyZcsoICCAHBwc6LHHHqMTJ060OGfOnDkklUrvS1IlEglJpdIW/9b+tz4Y/NCCwCYM6WCpf5v6LUlXSI2Tyw1Aywk8dsziEAYRHR1NAOjUqVN8FiCitLRnKCWlP7cEsu5yHckhJ8V2ToRdIlpw/Tr5JyZSkyU3wPXrWYX0pgFhTWkpkaMj0SfmJZBEbIJM92+60/O7njd43r9O/YucPnOisnrzq81HjrDvob6vSVISe32X5fsxGj16ND300EPcvie1tRdJLgcVFm7jEp+IKPP9TIp1jiVl6YOpphIRValU1D8lhfwTEynDzA2OOfixpISkcjktvH6d299IF0oPl5Iccqo4VcFtjStXZtLp0+1Io+Hzd8vLyyNbW1v6/PPPLY4xbx6rptbV6X79gw+YuLbMgmbS4RuHCctB8Tnxes+pU9aR9xfetPjIYvMXICIaMYLonm6nTnz7LZFEQnTVfAFRak0NQS6nPcX8JsBdfekqnW53mjTNfBLhpqYCiomxpZyc/3CJT0T0/vvvk4uLC1VU8Lmeli4l8vDQ/z01BQeuHiAsB2VW6NgMP/20QSXhnyJJfdAw+KFv3dKr7H9h1ws0fOtwq9aeOJGoRw/T1dXmQBAEeuyxx2jgwIHcHjqVlfHc1bKXp1ym08GnSaPkc+PIbGggu5gY+txSUVlDA5G/P3vK6MOyZZY/YYhoe9p2wnJQmiJN5+vlDeXk/rk7vXHsDYviCwJR//5ETz6p+/VnniHq3duyKqoWMTExBIAOHTpkeRAjuHTpRUpO7spNGKMsVVKscyxlfvDgKo1ERMVKJXVNTqZOSUlU2CS+eOu3igqyi4mh6ZcvPzChFBG7R6UOTKXzw89zu0fV19/kPqb59ddfJw8PD6qpqbE4RnY2a6XqUu1XVLAK1rJllsXWCBrqvaE3PbX9Kb2/59WnV5PNJzZ0q/KWZYtod7rR0bpfV6mIOnYkmjrVsvhENDotjXqfOcOtmqodhVyw2cxKshlgbiQ+pFLxEQArFApycHCgDz74gEv87GxWkzFDG3gfqpuqyfYTW/rmzDf3v9hK4d8afyepraFH2d+kaiLnz5xpVdwqi9e9fp1tKjmN3YjrlfMAACAASURBVKU9e/ZwraIKgkCpqYMoJeVRbrOJqxKruFdRp1++TEGJiVRvTQb21VfsCXNLxw0+O5tZN6xYYXH4ZnUzdfy6I03dq/sGvzR6KbmscqGi2vvnhJuKAwfYVz0xseVxbbVfjE79iBEjaNCgQdwSkpqaVJLLQUVF+jlN1iJjWQbFucZRczkfWoE+3GpspKDEROp79ixVNIu3dkp1NbnExdEzaWmk5PTw14fy6HKSQ07lJyzvRhnDtWtzKDExgNRqM9TnZkCbFKyw4vrWYuFCZvHWOtddsYLIwcE695eD1w8SloOO3by/bdeoaiT/r/xp3s9WqM8FgWj4cKK+fXXvZrXWIGm6N9qmIKW6miCXU3gBvyTy6ktXKcEvgVQ1fLipjY15FBvrQJmZfJJIIqIPPviAHBwcKC8vj0v8qVOJOndm+w5L8eT2J2ncD+Puf8GIwv/vJLU1vvySVcBa3bxPZJwgLAf9XmS5GGn6dEbPMce5w1Q0NTVRx44d6dlnnxU/+G0UF+8muRxUUSHnEl8QBDo35BylPJxCgoZPUpN8+6a31VwuamvU1rKny6uv3v/azJlEAQHW9UeIaEvqFpIsl9DVkpatssyKTLL9xJZWxurnXZsCjYZVS8e1um88+SRRv37iVPuPHz9OAOj48ePWB9OD338fT2fO9OK2cVIWKSnWMZay/pXFJb4hXKmrI8/4eBp67pwoHqqXamvJOyGBBp87R3XWbNIsgPb6Pjf4HLdNS0NDNsnlMsrNXcMlPhHR22+/TW3atKHKSutFXzk5bD+76p7aR3U1a6++YVmT5A4EQaCR20ZSn4197rOn23B2A0lXSOlmmZVewFpu6tatLY+r1axl+Nxz1sUnoplXrlBAYiLVcrK0a8xppBj7GMr6J7/rOzPzQ4qNdaDGRj781+rqavLx8aHZOrQ0YuDCBfZnjoiwPMbq06vJ4VMHqm9uxeFOTDS4mfk7SW2NOXN0Kvv/8cs/qO2athbfXNPS2N/BxNkEZmPNmjUkk8noqgXcH1Og0TRRUlJHunjR+puOPhTvY76JFb/x4dYIgkDDz5+nfmfPitPi/OwzZmx97y4/JYX9ocOtF2w0qZqo7Zq29NKPLUUH0/dNp8DVgfdf7BZA6zSRmsr+Xy63XNGvC4Ig0KBBg2jEiBHiBNSBqqrTJJeDSkqMe9FaivSl6RTnFkeqqgdvtn/mduXTOyGB/puXZ1H1s1ippNdu3iSbmBjqc/YslYtYmTUVFb9WcHfsuH59ISUk+JBabf21oQulpaXk7OxMHxoQepiLJUtYUlp9uxv8+ecscRWjKHY2/yxhOSji3N3sQqlWUru17WjmARPEn6Zg2jQmfrlXQKY12UxOtjp89m16Fk/f1Mz3MinWMZaa8vn4IqtUNZSQ4EtXr87mEp+IaMOGDSSRSOjCBT6CxKlTidq1Y1o4S3Ct9BphOejIjVZUSiMK/7+T1NbQo+zvuq4rvXLoFYvXfO45Vi7n8WwoLy8nDw8PWrRokfjBbyM3dzXJ5TJuEzQ0Sg0ldU7iOn3mx5ISglxOx8tFajVWVTF/mKW37VsEgejxx60nc96DdcnrSLZCRhnlTGGutZeJPC/ORCe1mtGBXnyR/fgjRhA98ojR4Vhm4fDhwwSAYmJixAvaChcuPEVnz/ITaTUVNlGMfQxlr8jmEt8Y8puaKOzaNZLK5dQxKYl2FhWZZJ1Wq1LRiuxscomLI7e4OPo8J4caHnAFlYhtVs6POE+pA1K5/Y0aG/MoJsaOcnIsFzMZw4cffkjOzs5UWloqWsz8fLbX/eQTluf5+DAagFiYsX8GBXwVQHVK1tmJPB9JWA66UnJFnAUyM5lRv9ZRR6NhrZinxbMoXJaRQc6xsVz42UREqioVJXgn0LV517jEJyLKz99IcrmEamqsdMfXg+bmZurevTs99ZR+HrI1uHaNdeXXrbPs/YIgUKf/dtIt1DOg8P87Sb0XepT9N8tuEpaDfr5mWXlJ2xH5/ntLf2LDePPNN8nFxYWKiiznJxpCc3M5xce7040bFqpATUDe13kkl8qp7rJ1LXJ9aNZoqGtyMo2xgh+lE//6FyOPZWcTHTokunVDQ3MD+X/lT9P2TSNBEGjE1hE623fW4Lvv2I+9dq1ezaBVEASBHnnkERo0aBA339TKyjiSy0EKBaeLjIjS30ynWKdYaszhw3U0BZfr6ui5ixcJcjk9mpJCv+pR9DZrNLQpP5/8EhLILiaG3kxPp7I/oHqqRfEe1iUp+4VfFfXq1ZcpIcGbVCrLxUyGkJeXR87OzvTOO+L7Xv7f/7H97vvvs3wvS8TOc1ZFFtmttKNPYj6hOmUdBa8Jpil7p4i3ABHbqLu4EBUV3Z3MFxcnWvjK5mbyjI+nBdf5jTLN+yaP5BI51f7Ox/pNo2mmM2d60IULfJJIIqKDBw8SADrGyT5o9mw2bMwC1zUiInrt6GvUfm37+z+/AYX/30nqvdCj7P866WuyW2lHtUrLvryjRxP16iVaca0FMjMzyc7OzqAvrLVIT3+T4uJcSKnklARXNFO8ZzxdX8DvBvRNXh5J5HLxvSdra9ku8MUXGQfrqafELUPSXaX/ytiVeoUQ1kCjYQwXJyeigQNF//GJiCg+Pp4AUGSkOBVgXbh8eRolJvpzU9GqqlWU6J9IlyZf4hLfHMRVVtLgc+cIcrnefyRyOc26epWyOdpYmQJVjYoSAxPp0ov8fm9VVYncfVFnzJhBfn5+VMVh0IJCwaqpNjZE774renh6M/pNclnlQv/45R9kv9JetxWQNSgvJ3J3JwoLY3z8KSInwUT0dV4eSeVyumwl118fNM0aSu6aTGljRC5k3IPS0kMkl4PKyvgkkYIg0MiRI6l3795cxlJnZbFN1H8sdNT6Jf0XwnLQ5eJWw3AMKPz/TlLvhR5l/+gdo02eANQaWo7fAePDPyzC9OnTKTAw0CJDaVPQ0JBJMTG2dOvWp1ziExFlvJ1Bsc6x3OakV6lU5J2QQHOvcWrlaImdYgw61gGNoKHBEYPJfqU9jfpuFJdd+Jo17Md//XXRQ99BaGgo+fj4iCI40YXGxlyKjXWijIy3ucQnIiqKKmLq9Gh+6nRTIQgCRZeXU3hBgc5/HsQwAFOQsSyDYh1jqSGbT7IsCGpKSelPqakDuInntHZq3333HZf4ROwZLZHoNgyxFuUN5eS6ypWkK6T0z1P/FH8BIuZ4IpGwzpKl9n4GoNRoqHNSEo3nNaqRiEp+ZJPQyo/zub4FQaALF56gM2d6cZuEdvbsWQJA4SLoInRh8WIiT0/zpqBp0ahqJKfPnOjz+FaUHAMK/7+T1HuhQ9lv0N/LCASBTfV59FE+1ank5GQCQFtbKytFBKtOBXETIjRkN1CMXQxlL8/mEp+I6L3MTHKMjaV8Tnwmqq5m28s2bdhEKg54/9f3CctBbx8XPwHTTkHz9WU3HwutXY2ioKCAXFxc6A1rZcsGcOvWZxQTY8ONOy0IAl144gIld00mTdODtW/6X0Td5TqKsYmhW59yyLxuIz9/E8nloOpq60U6uqBSqahPnz40ZMgQbnSVEyfYJtHe3vrpPvrQc31PwnLQ+UI+nEi6eJF9iO7d+cQnor3FxQS5nH7jZFwvCAKdH36ezvY7S4Kar21eQQEnFTURzZw5k/z9/amWw0a1oIDtQz7+2LL3v7DrBRoWOazlQQMKf15JqhT/i7hyBejZE5De/fGPZxyHSlDhuW7PmR3ul1+A06eBTz8FJBIxf1CAiPD222+jX79+ePnll8UNfhvV1ckoLd2Ljh0/hUzmxGWN7A+yYetli+C3g7nEz21qwtf5+XgrOBhB9vZc1sCXX7I/cF0dsG6d6OFrlbWIvBCJrp5dEX4+HCX1JaLG//lnIDUV2LAB0GiAjz4SNfwdBAYG4uOPP8aGDRtw6dIlLmsEB78FB4cOyMh4A0QkenyJRIKu67uiKbsJeavzRI//VwIRIf21dDh0dOB2fatU5cjO/hD+/vPQps1jXNbYuHEjrly5gvXr10MqFf/R1twMvPEGMHIk8I9/sFuIQiHuGsfSj+Fa2TX4OPlgRewKcYMDrI+0bBng4wPcuAHExYm/BoApPj4Y3KYN3s7MhMDp+u78VWfUX6xH0Y4i0eMDgKvro/D1DUV29j+hVtdxWeOzzz5DZWUlVq9eLXrswEBgyRJgzRqgvNz89z/X7Tkk5SehrKHs7sFevdi/r1wR54c0BaKmvCJDb2Y+aBDRyy+3OPTSjy9R3419zV5Do2ETfYYP51NF/fHHH7n6TwqCQOfODbutmOajBq4+W82mfYTzM2p+6epV8k1IoBpOHnuUn8/Gn773HtFrrzHxgLUerK3wz1P/JPuV9pSmSCOPzz2sM+Buhepq5t07bhz7nn79NevYibxpvQOlUkndu3enxx9/nJt4oKzsKHdLqoy3+baw/woo2smfGnH9+kKKi3MjpZLP6Mzi4mJyc3OjhWLK7Vvhyy9Zp/P339mkKV9fcSmdTaom6rKuCz21/SmK+j2KsBwUd0s8URMRMc86gOinnxixfeBAPmMViSixqoogl9MOayYdGMHl6ZcpMTCR1HV8nn2NjbcoJsaesrI+5hKfiGjZsmXk5OREhSI/j4iISkrYo86SiWiKWgVhOWh72vaWL+hR+P/d7tdCq+y/hxGs1qjJ6z9e9MGv5k+K2L+fXbOxsWL8xC1RXV1N7du3pzFjxogf/DYKCyNJLgeVl5/kEl/TrKGUR1PobB9+bZWYykqCXE6b8vO5xCdBYOZx3t6MoFNRwf77pZeMv9dE3Ci7QY6fOtK7J5maYsPZDYTloOQ8cVqbr73GBFNaGrZKRdSnDxvJzWsYkdbgf9euXXwWIKKLF5+j06eDudFUVDUqSgziKwb6X4aqWkWJAXxFZqxtKqG8PAs9cUzAvHnzyNPTk8o4cWAKC9lj514u+K5d7Nlx8KA4a6yKW0U2n9jQlZIrpBE0NODbAdRvUz9SqkWiJjU0sPGnY8eye2JsLPsAW7aIE18HJl+6RP6JidwcKxqyGijGPoYy3s7gEp+IKDPzPYqNdaC6Oj5aicrKSvLy8qKpVoylNYSPPmL1GUty4EHhg+53mBg9ms2Nb4W/k1QtcnPZhXX48J1D8TnxhOWgpLwks+Kr1UQ9e7L55zwwf/58cnFxoWxO5saNjbcoLs6Vrl2byyU+EVH2imySy+RUfZaPErtGpaIOSUk04vx5frPJtU+TPXvuHvv2W92zRi2AWqOmwRGDqcu6Lnc8DtUaNT28+WEa+O1A0lgpEklKYlXTNa2G82jFftu363ybKJg0aRIFBgZy4UwRETU0ZNyuVHzEJT7RPbZKR/nZKv2vIn3pbbuuXD52XYKgoXPnBtPZs325CVC0nP9NmzZxiU9ENGsW29feS7EUBKLx44mCgu4a/FuKvOo8cvrMid6MfvPOsTRFGtl+Yksf/ibSQIJPPmGc/Bs37h5bsIBl32J6ad2DgqYm8oiPp5ArInm96kDOFzkkl8ipMp6P0FOtrqfk5G6UmjqI23d49+7dBIB2794teuzKSmbo8Npr5r93ZexKcl3l2nKj9MYbOvnMfyepWkRHsydz5l1rjndOvEO+X/qanQxo85SzZ8X6ie/iyJEjXJV7gqChCxdG0enT7bhZ+dSk1lCMDd8xdK9cv07OsbGUyct+p7CQjYmZPr3lcbWaKeX697fac+zz+M9JukJKibktE17t5uneKTLmQqlkFdMBA3T/mNOnMz88Dm47RESUnZ1NDg4O9N577/FZgIiysj6imBh7amjgUw0RBIHSRqdRUuckUjc+eIP8PytqL9aSXCannM/FV3hroVB8R3I5qLKSz4AIjUZDAwYMoP79+5Oa0/CD+Hj9oyZv3WIa3iVLrFtjxv4Z5PelH1U3tbyXfxr7KUlXSK3vyNy6xcpprb1ja2qIOnRgw004tWR2FhUR5HLaW8yH6iGoBTo37BwldUoiVS2fJLK6OpnkcilX95xp06aRp6cnl7b/qlVsf2KufW2aIo2wHHQi48Tdg5s3E8lk9420+jtJ1WLNGnax3XND6rm+J8392bxqYmkpU0jzGKFbVlZG/v7+NG7cOG58vry8/5JcDqqo+I1LfHWjms70PkMp/VNIo+Rz8zpWVkaQy2lzASeuqyAQTZjAsjhdbcCkJPb02bzZ4iUuFV8iu5V29M4J3cbhoQdCyfsLb6posEzl+umn7H6gb7ZBXh6jAbz5pu7XxcCKFSvI1taWbtxbgRERanU9nT7djuso37prdRRjy9ed4n8JgoZNlkrunszt+lapqighwZeuXAnhEp+IKDw8nABQQkICl/hqNdHDDxumbq5dyzodp09btoY8W05YDvruwv22WSqNigZ+O5C6f9OdGpqt2MhPmcJ8UWt0DFDQtmS+/try+AYgCAJNuXyZvOLjScHJuaU+vZ5inWLpxmI+9ygioszMDygmxpZqaviMMy0tLSU/Pz+aMGGC6HlDQwNRp06sU29OaEEQKHhNML1+7B6eS1wc+75cakkR+jtJ1WLBAlb9uo2M8gzCctCPV380K3ZYGCuB89jchYSEkIeHBxVwSr7q669TbKwD3bzJzywz450MirGLodqLfNq85c3NFJCYSGPS0rgl8hQZyS6mQ4f0nzNnDtutWPC3alY3U//N/an3ht7UqNLdLi2oKSCXVS40/+B8s+PfuMGsboyZhq9axRLZlBSzlzAJDQ0N1LFjR3riiSe4VatKSvaTXA4qLt5j/GQLkflhJsXYxFBVIqey8/8Qbq26RXLIqeI3PhZBRETXry+g2FhnamriwzUvKCggLy8veklEbnlrrF7NbiFnzug/R61mSWzv3uY729U311OvDb1ocMRgvZ3AqyVXyX6lPS2NXmpecC2OHDE4c52ImEm7g4P5pTYTUaJUkm9CAj1/8SK3+33+hnyu3qkajZLOnu13m7rCJ9k+dOgQt2EqR4+yr4G5jIJXj7xKHb7ucPfvVlZ2P32O/k5S7x4cNowoNPTO/65NWmv2lKnTp9nveONGMX9ahr179xIAijJ0Q7ACGo2KUlMfo+TkrtzEJlUJVSSX8G0Dhl65Qu7x8fw8UbOziVxdieYaqbCXljK14qhRZrf9P5Z/TLIVMkotSDV43pbULYTloD2XTU/ABIHoiSfY7tfY/AelkjEXOne2nhunD3K5nKRSKX3yySdc4guCQJcvT6e4uDbU0CDylJ3b0DRr6Pzw85QYlEjKEj4+uf8LqDhVQXKpnLI+4kfjKSraxXWylFqtpscff5wCAwOptLSUyxpnz7IWqSldirQ0tlE0d6DggkMLyPFTx/sn+7TC6tOrSbJcQjHZZtIm8vMZmXbCBMMltPp6om7dmHMOJ4eVn0tLCXI5fcdJ7S8IAqU9nUaJQYnUXMlHqFVb+zvFxNhSZiY/+tPcuXPJ1dWVbnGYFjFxIiuom/Oc0E6fulR8T+XU15do+fIW5/2dpBKxi8zDg+izz+6c8+T2J2nsD2NNjqlSsfaNPo6fNVAoFOTl5UWTJ0/mtlu8deszksulVFVlnkjMVKjr1JTUOYnODTnHTc2/v6SEIJfT97ysSTQalnS2a2fa1SiXM2+ZFStMXiK1IJVkK2T0sfxjo+cKgkDT9k2jNv9uY/KYw4gItpE6aaJpQ0YGy8mnT+djpUZE9PHHH5NUKqWYGD78QpWqmpKSOlFq6gDSaPgkkU35TZTgk0Bpz6Rx+37/mdFU2EQJfgl04ckL3D5/fX06xcW50pUrIdzug9rvYiwPWxZiHO+OHVmF1NTq6HvvEdnZmV6M3H1pN2E5KPyc8URerVHTiK0jqOPXHammSUfLXueb1GynGxTENuPGkJTE7oP3PF/FxuyrV6lNXBzl6phYJAYacxspzi2Orr7MZ0gIEdGtW6tuP4Mt5HcYQVVVFQUHB9OTTz4p+lCKnBxGD1tqRlG+UdVIzp8506q4VXcPPvEE0bRpLc77O0klYoOTtR5vRFTVWEU2n9jQhrMbTI753/8y/pDYYilBEOj5558nX19fKikpETf4bdTWpt3exXEadUJEN169QbFOsVR/k0+VtkipJO+EBJp06RK/Nv+6dex78uuvpr/n44/ZDdqEBKxR1Ui9NvSi/pv7/z/2vjs8imp//92WugkJCSVI70qXjoACFiyAclER9V6viuVauVcsWG5ExY6oYMGCXewigiJlN5WEVAIESCA9pCebZDdbZ97fHycFTICUGfX7u/s+z3k2mZ05c86emXPe86l0edq3Y7fYLRz8+mBO2jjprCFlSkqEKUpH7aU3bxbd3qhSghSPx8OLLrqIffr0Ue0Zr61NotlsYHa2eka2VTuraNKY/ufsUyW3xNTZqYyLiKOzVJ1NgCQ5mJQ0kQkJQ1Vz6NyzZw81Gg2f7sCmsiOQZbH+Bgef4p97VjQ0CG3G7Nln90E6VnWMQWuCuPTbpe2eB49VHWPgc4G8c2s7Y8FGRoo5rSNE/rHHhPj4dEbwXUSNy8W+8fG8OD2dkkrzf8nHJTTBxPIf1JmjJMnNlJRpjdpMqyr32LlzJwHwzTc7nkHzbHjhBSH170jW2ms2X8Pp709vOfCvfwmP3pPgJakkuXu3WIUbHTiadqL5lvappU+cEBPPXXcp39aPPvqIAPhDI4FWGpLkaLSHGauaPUzVb1U0wcSi9erYkMmyzKsPHGCP2FiWqZSWlEePCse6jsbb8HiEh2ufPmeVOqz8bSV9nvE5Vf3RDuwr2kfDasMpYWbaasZll5E9enQu7eny5cK07IBKYS+Li4sZHh7OK664QrXUk4WF62gygRUVZ7Al7iJyV+fSpFHPfu2viGOPHKNJZ2JNtDqhekgyK+sBms0+rKtTJ8tEWVkZIyIiOGfOHNXso999VywzX3/d8Wt37RLXvvDC6c9xepyctHESh7w+pJU3/9nw1r63iEjw1+xfz3yi2dxh7RBJ4bE9Zgw5dqxqqaN3VFURJhM3qBQXW5ZlZizKYGyPWNXMemy2o4yK8mdWVifiOrUT99xzD/39/ZmVlaVovU6nCL05Y0b7Azp8mPohNZEallkbnXjWrxebmZNMQ7wklSTffFPoUxp/mBu/u5Hj3h7X7vqWLRPmOVUKr0tpaWkMDAzk33+XBUspyLLMw4f/SbPZwPp6dXa4DbkNjO0Zy7R5aZQldXa4rxYUECYTv1dJCse6OnLcOHLoUNLaiR1uO+y3fjryEzWRGr4Qc4ZV6AxYG7+WiAR/Pvpzm9+vXCl2uR0RAp8Mm01scM877+y2rJ3F9u3bCYCvvPKKKvXLssyMjIWMielOu71AnXtIMtMvS2dseCztheqoHv9KqPipgiaYmP+SenbmFRU/0mSCakH7JUni/Pnz2aNHD1XC9JAirb2fH9mVxFWPPy60ddu2tf39il9X0LDawKTijns6yrLMSz65hL1e7sW8mtPYLJaXd9rOniSZliYIyJ13qmY7dPfRo/SLimKCSkb0zlInY8NjmTYnTbXoFYWFb9BkAktLP1OlfqvVymHDhnHMmDGsVfh32rNHbKY+/LB955dZy6iJ1HBT2qZTKzjJtsVLUkny7rvFLo8iNEfoC6F8Ynf7goA3/aabNinbxqKiIp5zzjmcOHEirZ0hRu2AsEMFS0o+VaV+V42Lieclcu/gvartPL8vL6fGZOJjHdGfdQRut8gZGhzcNTFikwvkq6+2+iq5OJkBzwVw8VeLOx2gX5ZlXvXFVQx7MYyFtYWnfPfZZ8pEgjl0SAiTb7uta/WcCStXrqRer2dCgjIZtX4Pl6uK8fH9mJo6U7UA2s4KJ+P7xjNlRgoll0ppu/4CaMhpYExIDDMWqedZbbfnMyYmlAcOXK3aPV588UUC4C+//KJK/VYrOXKkWGK6ErZZksgFC8hu3Vrbp/505CciEnxt72udrr/MWsZB6wZx1IZRtNh/F6lCkkSGgfDwTkUsaUZTZJSXX+58HWeA3ePhBSkp7BkbyxyVYmTXRNfQ7GPm4VsOq/JMyrLMzMx/0Gz2YU2NwulrG3Ho0CF269aNl19+Od0KO7R1VGg37f1pXPzVYvFPaal4Pr5viarkJamkUMc2BmWPyosiIsHEojPEBmmE0ykmnwsuUDZecX19PSdMmMB+/fqptrNv8pLNzY08+8mdgOSSmDYvjTGhMbQdUUf0tq+2lv5RUbzu4EF17JBkWWxgdDryt9/Ofv7Z8J//CEnCSYbLBZYCRrwSwckbJ9Pm6trvVGGr4DmvnsPZm2bT3UjAkpKEBOeWW5QRXjStMV980fW62oLL5eK0adM4cOBA1tSooz62WGJpMul4/LhCGXfauke8hWa9mdkPZqt2jz8TngYPkyYmce+gvap5PEuSiykpMxgf358ulzrmE/Hx8dTr9XzkbPHYuoB//lM4lWQq4HNTWytUqiNGtCTaKLAUsPuL3bngiwVdJk2Z5Zns9nw3XvLJJafaxb/yinjxt2/vUv0kyVWrRF3fftv1utpAhdPJIXv38tzERNaolDa19LNSmmBi3rPKe8qTIixVWtocxsR0p82mrFq+CTt37qROp+M999yjKNluMn9sr9bguejnaFxjpMPtEItU9+4ikHcjvCSVFIZ6jTY2D+14iL1f6d0uiVZkZMcNhc8Gj8fDBQsW0Gg0cr+SFZ8EiyWWZrMvMzNvUm0nePi2wzQbzKw2qRMvMc9uZ6/YWE5PSWGDSjZkXLtWWY8hp1OEYhk0iKysZJ2jjmPfHsv+r/VnSb0yEQmi86KpfVrLx3Y9xpISsm9fcUulnF5lWURqMxqFZFUN5ObmMiQkhIsWLVLNPlB40mpYUbH17Cd3EoVvFtKE//8cqTw2D9MvTmeUfxTrktvpEd5ByLLM7OwHaTLpaLF0PcVwWygpKeGAAQM4ffp0ulQiMx9+qLymLStLOEBeeSVpddh5wQcXsO/avqy0KZOed3fObupX63nHn73nqAAAIABJREFUT3eI9SEujtTryYceUqR+SpIQCvn5kSppTI7abAyNieHctDQ6VbJxz12dSxNMLP2iVJX6Xa5qJiaOZELCULpc6qRe3rhxIwFwncIJF5ocyaPbIQjOKM041R565kwhjm2El6SWl4tZ5JtvSJIj3hzB27acXZ+ZkCAI6pNPKtu2Bx98kFqtlttOZ3jURdhs2YyJCWNq6mzVHKXynhcBvUs+VicUlMXt5qjERA7eu5flajlK/fCDeMt+n+6vq8jJIXv0oDx5EhdvvJjBzwd32FHqbHg57mUiEhy49DVGRHRNO9cW6uqE6rJPn455KXcEW7dupU6n4z//+U9VHKlkWeKBA9cwKsqP1dUmxetvQt5z4l3IeSpHvagTfyA8Ng/T5qUxKiBKtQ0oSebmPqOqHWpVVRXHjBnDiIgIVeJGkkJjqdORt9+uvAnmr7+SGr2Lw55cRL9n/VqlTu4qPkz9kIgEN328QjDiWbOUdXiy24WHTc+eIva0CoiqqaHBbOY/D6uolv97Js0+ZtbEqKP1aWg4ztjYHkxNnUmPRx0b95UrV1Kj0fCnMyWn6SA8HsE1Bww4e2ptWZY54LUBvGdbYw7gO+4Q8Twb4SWpUVGCpB48yKzKLCIS/PHwj2e8vr5e+NBMnkwquQHfsGEDAXD9+vXKVXoSXK4qJiQMZ0LCcNXUZ2VflTUvymrAJUm8JD2dITExPKySrS6TkoTx5d/+pkreaTk1lbZAH0YNAHcdUN7TXJbJsf9+lIgEH/umjcTgCqCkhBw2TKTnVsmZlp9++ik1Gg3vv/9+VRYZSXIwPf0SRkcbWVurjkSHJPNfyBfvxJP/t4mqx+ph2pw0RgVGsSZKPU/+pigMubnqJHioq6vjlClTGBYWxkMqqQN27BC+uNdeq3zcbJKUZIkTnllGPGngI+8roIJvA2s33cnSQLD6vMFnZxqdQXm5yCpy3nmkSqY9n5aUECYTn1NpIyI5JaZdlMaYsBjVwitaLHsZFeWnWnxgSZK4ePFiBgYGMjU1VbF6c3JEjO32+H3fu+1e9n+tv+jfa68JKXvji+MlqW+/Lba7TidfjX+Vvs/40uo8M/m54w5hY6RkyvFffvmFWq2WDzzwgHKVngRJcjA1dTZjY8PZ0HBMlXtY4i00+5p5aNkh1Xautx85QoPZTFO1SlKcvDyyd29y6tSueTmcAWvj13LabaDL35ecP1/xkCyvvUYCMue88i9qIjXcfKCD+eraifx8kddg5Eh10gCT5Ntvv00AfOKJ9jkydhQej5WpqTMZExPC+np1zGtIMv8lQVSPrzr+f5Koeqwepl3USFBVDDV14sQHNJnAY8dWqvI7NTQ08MILL2RwcLDii14TYmLEHveKK9SJtiTLMu/ceie1T2s5886v6e9/5vSqnUJeHuW+fVnQN5jnPObbLh+NTuHIEZFIZ948ZSU+JyEyN5cwmfhlqUpq+SoXE0YkMGFYAl2V6vShrOxrmkxgTo7CqttG2Gw2Tpo0iX369GGRglKHjz9uM9NpK+w4toOIBPeX7hc7PEBkkqGXpJL33SdWWZIXfXQRr/j8ijNeu2WL+P3efVe59uzatYuBgYFcsGCBKjZ4Ho+V+/dfQbPZlxZLrOL1kyLlaUxoDFNnplJyKC99lGSZK7KzVU1/x9xckcJv4EDhZagC3kt5j5pIDVf+tlLEg/LxERJbhTwsX3hBPJ8PPyykLTd/fzP1q/XcelQd28usLLJXL6GdUUkYwpdeeokA+OKLL6pSv9ttYVLS+YyN7UmbTZ0c4yRZ8EqBIKqP/t8iqu56N1NnpzLaGE1LrAoStUaUlW2myaTh0aN3q/L7OJ1OXnHFFQwICGBsrDrzYHKycBq58EJ19riyLPM/O/5DRIIfpn7IhgbhuBsU1K58Ie3DiRMie8DgwbTnH+f096cz/KXws6Zp7jRMJuFQ+re/KWc8fxJkWebNmZn0MZv5rUphChuONTA2PJZJE5JUS2iRn/9is4ZBjffjxIkT7NevH88991wWFhae/YJ2QJaFNiE0lDxTlQ63g0FrgvhM1DPiRIBsND/wktR588jFi1nVUEXd0zq+m3x69llSIkIrLFignI3R119/TR8fH1522WWqhJpyOiuYnDyF0dFGVlUp4KHeBiq2VDDKL4qps1NV8fR1ShJvOHSIGpOJ69XSLe/fL5IPDxpEZivvkS3LMlebVxOR4N0/393imLdli5Dk/+MfXTItkOUWp9knn2x5Pt2Sm9dsvoa+z/hyT86ernekDWRkiElo+nRhCqMGnnzySQLgW2+9pUr9TmcFExPPY3x8XzY05KpyD5IsWCuI6rGHjqkWN1hJuGvdTJ2VyuigaFri1COoFRVbaTbrmZl5M+VOhmE7E9xuN6+99lr6+PjwNyUidbSBQ4fIsDDhqFinjj9Z8xzyRkKLrW59PXnxxUJD2mVXhspKctQokfI0R5hsVdoqOeW9KTSuMfK3Y+r8dtyyRXTgwgtVMS04eQ15S6U1pD69nnG947h38F7aspVX/cuy3GyrLTZyygu0jh49ygEDBrBfv348fPiwInVWVQn/hXnzzrzEXfv1tZy8cbJYvIKCmjNXeElqRAT5xBP8dP+nRCRYXNe2l4ksC/VNz57KqTbfeustajQaLlu2jE4V9EINDblMSBjO2NierKtTZxdc/F4xTVoTD/ztAD125V+aOrebF6en08ds5jdq6ZRNJiH+mDBB7EQUhkfy8O6f7yYiwWejnm29C/7iC+Gkde+9ndr9SJK49HThBx1uBy/99FIGPhfIvYV7O9mLMyMxUXj8z5unijCEsizzgQceIAB+8sknyt+ApMNRzL17h3Dv3iF0OBT2NjsJha8Lr//0i9PpKFbHeVEJWGIt3DtwL6O7RdMSrx5Bra7eTbPZlwcOLFYldq0kSbzllluo0+n4449n9jfoLI4dE0vJmDHKJ3Vpwmt7XyMiweein2v1nd1OLloknPDPplo9LWpryUmTRLSb3xEUq9PKyz+7nIbVBn6e8Xknb3AWxMaK3e7Yscp7e1Jo4x5s1MY9kaOOfXhDbgMThicwtkcsa5PUSShQXPweTSYtDxxYrIozVVFREUeNGsWwsDAmKmRHsnOnWJ/Wrj39OadwsKlTm41Z/7dJqsnUHPRxyddLOOW9Kae95q23xKk/t53Qp0OQZZlPP/00AfD+++9XxXu5vj6dcXG9uXfvEFVsUGVZbg7BcfRfRyl7lH/hS51Onp+UxODoaPVsUL/5RqjcL75YFfGH3W3n4q8WU/u0lu+nnMGJaeNG8YD9/e8d0hO63eISjebMJig2l40zP5xJ4xojv8/8/vQndgFmsxCGTJ8uNIZKQ5Zl3nbbbdRoNHz22TbIvgJoaMhlfHxfxsWdw9rafWe/oJOo2lnFuD5xjOkew/LvVMqU1klILok5T+TQpDUx5YIUNuSoY5tNigXXbPZhevplqkQbqa2t5cKFC6nRaPjZZ+pk8ImJEcKLYcNU2ePSI3n46E7hCPnwbw+f9rl3uUR4OK2WfL+j/pJ5ecJmp1s3kRmqrfo9Lv7jh38QkeCr8a2TkiiCgwdF3Lz+/VsRZSUgyzJfys8nTCbedvgw3Sqsvc4KJ5OnJDMqMEq19MgVFT8xKsqPqamz6XIpb2dVVVXFGTNmMDAwUDHNw4oVYqnNyDjNPRu12e8kvSOCC0+aRPJ/naQ2BrFzJu+jcY2Rz0Y92+b5R44IQ/i77ur6vSVJ4j333EMAfO6551RZaKur9zA6OphJSefT6VTetlL2yDx619HmYMZq9CHbZuPgvXsZERfH/WrpkNevF+zuhhtU8XCosddw9qbZ9HvWjz8daYcX/+efC5Y3aRJZcPa0nQ4Hec01QnrSnuD6VqeV1359LREJPrXnqU5ntzoTEhOFaicigtyrgtBWkiT+97//JQD+7W9/Y70Kz4bDUczk5Kk0m31ZUvKR4vU3wVXp4oHFB2iCiYdvPUx3vToZsDoCW5aNyVOSadKZmPtMLiW3OjEmJcnJo0f/RZMJPHLkTkqS8u/f0aNHOXLkSAYHB3PrVnVsst9+W7x/s2ap4zxY3VDN+Z/Np/ZpLV+Oe/msc60kiXXqbFKrU7Bnj7BjGzTorEG/ZVluJswP7XhIlTmEhYXC5CAsTJ1JhOQnJSXUm81ckJFBmxp+IFYP91+xn2a9maWfqePfYLHEMSYmlPv2jaHDobwJg81m45VXXkmDwcDNm7vufGu3i9TaY8acXtvW7Bf08stkYCApSf/jJPWJJ0itljsO/EhEos14lVar+GFHjOhc2vaTYbPZeP3111Or1XKjUgHiT4IsyzxxYlOjZOJiut3KSwZdNS4euPoATVoTT7yvTjasWIuFPWJjOSIhgXlq6I7dbvLRR8VMvmKFKmGmcmtyOeatMQx9IbRjMQxTUoQUoWfPM0ZCLioiL7qI9PVtti9vF2RZ5proNdREarjgiwWt0x8qgJISEQLRx6cTEp124ocffqDRaOTo0aN57JjymgJJcvDw4VtpMoFZWfdTktTx2pVlmSc+OMGowCjuHbKXtQnqqAjb047i94oZFRjFhKEJqrbD6SxlaupMms0GFhcr6IF6ErZt28bg4GCOGDGCR36fQ1QBOBwiygtA3nOPOo7pB8sOcugbQxn6Qih3HNvR7utkmXzkEdG2Bx8UbT3tievWCZv4efOEPWo78XrC69REanjjdzd2OVNem6iuFoE2/f1PSZGpJH6prGRAVBSnp6Sw+LQ/UuchuSQevuWwEOY8l6eKttFqzWR8fD/Gx/dXxaTP5XLx5ptvpkaj4bp167oskNq/X6xZd9zR9vdr49fS9xlfNvz4rXiA8/L+x0nqsmXk0KG8++e7OWjdoFYDIMtCyBYYKLQQXUFycjJHjBhBf39/fqtCOjins4wHDlxDkwk8fPgWVSQTVb9VMb5vPKODo1nxU4Xi9ds9Hj587Bi1JhMvSElhhRrxWw4fFgFutVqR6k9hyLLM91PeZ9CaIA54bQAPlXciDmN5uWCgej25YUMrO9VvvxWZ4yIiOu/Ruy1rG7s9340j3hzBIxXKL+JOZ8si/q9/qROK5+DBgxw6dChDQ0O5Y0f7F/H2QpZlFhWtp9msZ1raHDqd6qnlbdk2Jk9Npklr4qGlh1TL5PR7yB6Z5d+VM2VaipDo3qauRLe2dh/j4s5hXFxvVTJJybLMNWvWUKPRcMGCBbSo4IRz4sQfsAk7/AONa4wc/dZoHqvq3CZs3TrRxnHj2li/GhqEnRAg0jV3IrrI5gOb6fesH4e/OVwdW/eGBuHxDwj1rwpjmVhby4i4OIbGxPDz0lLFtYKyLDPnyRyaNCamzkplw3HlTWfs9kImJZ1Ps1nP3NxIxTfUkiTxoYceIgAuXLiQ5V2MkPD++2JI23p3jlUdIyLBX3a+3ZyG93+bpE6fTnnhQp7z6jl88JcHW50n4k12wRCdIs3pmjVrqNfref755yvmMXcyysu/Z2xsD8bGhrO8XHkC7LF6ePRuod5Pm5dGe77y0s3UujqOSkykwWzm83l5ytsKSVJLkODhw1VJx1dcV8wrPr+CiARv23Ibax1dkEa5XOT994sH8LbbSLuddXVirgbIxYs7JPhoE0crj/Lc9ecy+Png9pkjdALvvCOiy8yapY69XnV1NefPn0+tVssXX3xRFfvumpooxsb2YHx8f1XtVCWXxKL1Rdw7eK941y5KY+XPlapEAfDYPCzaUMS9Q8S9UmensupXlTx+2KTl+YBmsy+Tk6eq4phWW1vLJUuWEACfeuopVZ6FvXuFOUufPupooj2Sh0/teYqIBP/21d9Y7+yaOUt6uoiV7+dHvvFG4363oECYFPn5kV200z1ScYRT35vanIrZ4VZYIinL5AcfCG/v/v1F2D6FUely8YZDhwiTiX87cECVLIY15hruHbiXUYFRLH6nWHEyLEku5uQ8RZNJx6SkibRalU9S8eOPPzI8PJy9evXi9u1dSyBxxx1Corqvjel01IZR/Md3N4tg9K+88j9OUnv35ol7byEi0So8j9kstCBdSVecm5vLWbNmUaPR8LHHHlPcg9/lqmFm5s00mcCMjEWq2J9aYi3cO2Qvo/yjWLS+SPEF0yVJXJ2bS73ZzHH79qljf5qTI0KbAOQDD5A2ZdVTsizzywNfMvSFUPZ+pbeyMUk3bSJ9fdnQbxj/GfELAwPFnK3UHFfrqOWiLxcRkeDSb5eyqFZ526aYGBFLtVs38s03FQsJ2wyPx8NHH32UADhlyhQmJSUpewOSdnsBk5MnNcfxVCtjG9ko3fy2XEhWYWLieYk88f4JOsu7Nn/IssyGYw3MeTKHMWExNGlNPHjdQdYmqmtiYLUeZFranEYtz22KO0jJsszPP/+cERERNBqN/O677xStnxTa53/9Syhg1HIM3Fu4l+e/ez41kRo+F62cv0JDgwgHroeL74x8jVJQMNmvnzAtUgBuyc3nop+jYbWBY98ey/SSdEXqPQW5ueScOWIOv/fertvetYGvy8oYFhPDnrGx3FKhvKbQXefmkTuO0AQT98/fT0eRGo6C+5iYOJJmsy8LCl5RPExVSUkJL7/8cgLgPffcQ1sn11KHQ4Rq69dPKA5Pxqpdqxj2YhjlieeTt976P05SAX776CKGvBBCl6dFRF5UJEwC58zp3IIqyzI//fRTBgcHs3///oyKilKw9aL+ioqtjI/vy+joYJaUfKT4zsxd5+axlcdo0piYMj1FlZRv++vrOSk5mVqTiY8fP06n0pIPj0eI8oxGkUR4j/JxQkvrS5udka7/5npW2roo3vwdrFbyjbsOcQ/EBF1/ydWK57qWZImb0jaxx0s9aFxj5MtxL5/yPiiBigpy+XLhpzZunIg2ozSio6M5ZswYajQa3nnnnazsqqj5d5AkFwsKXmN0dDBjYsJYXPyeKjE9myDLMi2xFmEDrjHRBBMThiYw86ZMFm0oYl1KHSXX6e/vrnezek81857LY8aCDMb2iKUJJkYFRjHrgSxVvfZJ0u2uZXb2v2ky6ZiQMIxVVb8qfo8DBw7wwgsvJAAuWbKE+fn5itYvSWJTGB4uhHlr1ypvf1puLeetP95KRIIT3pnA+IJ4ZW9AkmYz6waMpgQNP/C7m9+9V6W4KX56STrHvj2WhtUGPhP1jPJSVUkiX39dSICHDhUpzRVGicPBqzIyCJOJ/8jMVEWqWrm9knERcYwJiWHJRyWK26p6PA3Mzl5Bk0nD1NRZtFozFa1flmWuX7+efn5+HDlyZKfJY2GhiHY2b96pPCuhMIGIBEsXX0ZOm+YlqUsfHcYbv7ux+TuHg5w2TUTB6Iy35r59+3jRRRcRAG+66SZFbaJkWWZV1Q4mJ0+lyQSmp19Mu13ZSdld72bemjzGdI+h2cfM/BfyFX+JDlqtvPbgQcJk4oiEBCbUKizJ8XiEp/yIES3qcoXvUW4t50M7HmLAcwHs/mJ3xVOP2u3COqFnT6Eu/+9TMj2fbxZ6Rj8/cvVqxQOS1threN/2+6h9Wstz15/L3Tm7Fa2fFN7/kyaJYfnHP5RP7OV2u/n6668zODiYYWFh3Lhxo+JqX4ejpFmDkZw8hbW1yktufw97gZ2lX5Qy6/4sJk9OpllvFoTTP4px58S1Ln3iaNIKYhsdFM30i9OZ82QOK7dV0m1RN4qALMssKfmUcXG9GRUVwLy8NYpLT2tra7lixQrqdDoOHz5cFZvklBSxFgAitJPS0lOP5OH6xPUMeSGEoS+E8q19b9EjKexpXlxMLlsmOjFtGqt3pfCaa8S/48eTW7cqp5UhSafHycd3P07t01r2W9uPbye9TadHYaJ35EjLwFx2meKmW7Is88MTJxgcHc3AqCg+cuyY4v4RrioXDy071KwpKfuqTHEtZU2NmXv3DqLJpOGhQ8sUz6aXmZnJCRMmUKvVcvny5SzuRGzbPXuExvrhh1uOSbLE3q/05s+3ziSDg5mSnPy/TVIDVoFfHWwxOr3rLmFs3tEYttnZ2bz22msJgKNGjVI05Iksy6yu3sWUlBk0mcCUlGmsqtqhqPTUY/Uw/8V8xobH0mww8+i/jtJeqCwJyrRaubQx60f/+HhuLC5WVnoqSeSXX5LnnismsCuuaNvopQuosFXw4d8eZsBzATSuMfLx3Y+zqkE51a/LJeKd9u0rXt5bbxUhDJtRV0euXCmcqoYMEf1VWLSTVpLGCz64gIgEr/36WsXVdx6P6GP37sIE4IUXhDpVSZSUlPDvf/87AXDy5MncunWr4mS1piaG+/aNo8mkYWbm31lfr4Ka8zTwNHhoibWw4NUC5vw3p81SvLGY9QfqVfEqbguyLLGiYitTUi6gyQQePLhE8U10fX09N2zYwN69ezMgIIDPP/88HQp7ZmdltUj9R49WXmAnyRK3Ht3KCe9MICLB27fcznKrwk551dXkmjVCi9SjB/nhh6dEMYmJIWfPbuauipt6Hq44zBu+vYGaSA37v9af7ya/qyxZlSThLHLeeaITl1/e8UX7LKhwOvnIsWMMjIqiMTqaq44fZ5XCc61lr4Xpl6XTBBP3jd7Hsm+UJauS5GBR0duMj+9Lk0nLzMybabNlKVa/0+nka6+9xrCwMPr7+3PVqlUdFsy9+qoYwm++aTm2/KflvGN5BAkw5Zdf/ndJqjk8mIbVhmYHl8awqXzvvfbXVVpaynvuuYd6vZ59+/blpk2b6FEo7posS6yq+o2pqbMbpTaTWVm5XVFy6qpxMf/lfMb2iKVZb+aRO48o7hh1oL6eyxrJab/4eL6jNDl1ucSENWpUy4Sl8O66zFrGR3c+ysDnAmlcY+SqXasUVe3b7eRHH5GDB4suLF1KHj16hgsOHxZSBECkMFyzpuueVCdBlmV+kv4J+67tS0SCF310EX84/IOikp7KypZNYUAAeffdysfvjomJ4ZQpUwiAQ4cO5RtvvME6BZM2SJKbRUXrGxcBMDX1QpaXf69KysK/KtzuWhYWruPevUOa56mqqp2K3iMvL48rV65kSEgItVotly5dqqhqX5ZFVpwrrxTkNDxcaDKU5CR1jjq+kfAGh74xlIgEp70/jQmFCjtwZmaKlyogQLxY991H1rQd7F2Wyd9+E8FOAGHeZjIpK1k9VH6I139zPTWRGg54bQA3Jm+k3a3g+uLxiI36yJGiE1deKeZ+BTtR7nTy4WPHGBAVxaDoaD6Rk8MyhSWrljgL0y9uJKtjBVk9kylPR+Hx2FlY+Cbj4vrQZNLx8OFbFHWuslgsXLVqFf39/RkWFsZ169a1e/Moy+T114v9VFMUiq1Ht3LIfRAkdcOGP5+kOhwOPvzww4yIiKC/vz+nTp3KnTvbN8nV1NRw+fLlDA8PZ2BgIOfMmcPU1NQzXtNEUj8a1o2XfnopSbGzNBjEDro9yM7O5ooVK2g0GhkSEsKXXnqJDR3IFHQmWK2Hefz4KsbH96PJBCYlTWBFxVbFyKnkklixtYIHrz1Is69ZkNPbj7AhVzkbtTKnk+sKCzkxKYkwmdg3Pp5vFRXRoRQ5lWUyKUl4wPfo0aL6UdDl1u6286uDX/GqL66ifrWegc8F8tGdj7LCpoxRvSyL5t51FxkSIrqwaNFZ42mfiv37hbjV11eYAdx+O3mgdbzfzsLlcXHzgc2c/v50IhIctG4Q18avVTS+amkpGRkpTBsAcv588pdflAtfK8sy4+Pjef3111On0zE4OJgrVqxgTmNuciUgSS6WlX3dLEWMjx/A/PyX6XKplCntLwCbLYtZWfcxOtpIs1nPQ4duoMWi3PsnyzJjYmK4ZMkSarVahoSEcOXKlcw7RbXQNdhsItlb0/527FghrFDSkuZ49XE++MuDDH4+mLqndbz+m+sZXxCvnLBBksht28hLLxWd6NVLvFDttKWRZfLHH0WQdUAoaJ5+WlnT94NlB3ndN9cRkWC357tx+U/LGZ0XrVwygN+beJ13Hvn88+1KitJelDmdfOjYMfpHRVFnMvGqjAx+VVZGu4LJAGpiapg2N40mmBjbI5ZZ92exNqlWsWdFkNXXGRfXu3FDOYmFhW/S6VRmTSsqKuLtt99OrVbLgQMHcu3ataxuh5rMahXP3+DBwn+hwdVA4zP+dPvomdIY/upPJalLly6lwWDgww8/zPfee48zZsygwWBg7Fm8KyRJ4owZM2g0Grl69Wpu2LCBo0aNYnBwMLOzs097XRNJfXAcuGHfBh4/LnbOF1545niOkiRx27Ztzd5t3bt352OPPcYqBZI1u1yVLCpaz+TkKTSZwJiYEB49ehctFmUmM1mWWZdcx6z7s5odKPaN2cf8l/MVyx9u93j4VVkZr8rIoM5kosFs5tUHDvC78nLlyGl+vpAaNu2ce/cWcf7Sz6xq/aI9KZkoVHFReVG8fcvtDH4+mIgEp743lesT1ysmOS0sFF1omk/79iUfe0yYWnUa5eXks88Km1VAuCC/+GIXKz0V+4r28cbvbmwm7Nd9cx0/z/icNXZl0vI5HOTHH5MTJoguDB5M/vvfQt3aUQfG0413QUEBH330UYaGhlKr1XL27Nlcu3Ytjx8/rkAPBOrqkpmZ+XeazT40mw1MT7+UhYVv0m5Xjlz9GZBlmXV1yczJeYpJSRNoMoGxsT2Yk/OEYiGlJEliQkICH3vsMZ577rkEwBEjRnDDhg1nzC7W3vebJOvrRazhm28Wm0ONRmwOlZQi5tbk8vWE1zn347nURGrY/cXufHTnoyywKESaPB4hWXnoIcEqAXLiRPKTT84Qvf/MkCTxG9xyi4gNDohwzZs2id9MCRytPMrHdz/OAa8NICLBgesG8ondT/Bo5ZnURq1x2vH2eMQOd9kykQhAoxEi4k2bFEt7XelycX1REacmJxMmE7tFR3P5kSOMrqmhpNADVJ9ez+z/ZDOud5ywWz03kXnP59FeoMzuSZIcLC//jhkZi2g262k265mRsYjl5d8YYWv+AAAf/klEQVQpYj+emZnJZcuW0WAwMCAggHfccQf3n0X6kpsr5E2zZolH+OrNV/NovwCmLF7855LUxMREajQavvpqSy5gh8PBoUOHcsaMGWe89quvvqJGozkl5EhFRQVDQ0O5bNmy017XRFIXXAgeLCzgeecJZ8HTaUsrKir46quvcvDgwQTA888/n5s2beqS5NTjaWBV1U4eP/4ok5Mn02TSNj4oC1le/q0iD4q9wM4Tm04w8+ZMxp0jHva43nHM/k8269O7Put4ZJlJtbV8IT+fl6anMyAqijCZODU5mRuKiliphK6stlZY969YIdzCATH53Hgj+euv7WYvCxYsOO13OdU5fD/lfS77bhl7v9K7efJ8cs+THZ4820J9vRB0/Pvfp3bhppuEilHRrHwul1B/LVokbgIINvzww8KlXoGbFdcV85moZzjx3YlEJKhfree8j+fxjYQ3mG/pugpWlkWyrTvuEHsQQGRI/Mc/RPKZ9kSfOdN4kyL72wcffMArr7ySvr6+BMDRo0fziSeeYFJSkiL2q05nKQsL32B6+iU0mw00mcB9+8by+PHHabHE0+NRIZuawnC5qllRsZVHjtzRqCoUG+hDh25gaemXivTBbrdz+/btvPPOOxkREUEADAsL4y233MJffvmlXWNxtvE+cULYQV9xhVA6AMLe9PHHSSX2J7IsM7k4mU/ueZJj3x5LRII+z/hw/mfz+X7K+8pkZbJayR9+ECwyPLxFanrbbeLdVlDFXV8vNoxz5wqe5+sruN6zzwptelfDyJ0sDOj2fDciEjxvw3m8d9u9/C7zu7Pa+Z9tvEmKtWPTppZO+PgI1r16NRkXp4gtxxGbjU/k5HBAfDxhMrFnbCyXHjrEjcXFPNbQ0GUBk+SWWPlLJQ/dcIhR/lHNtqtZD2SxYkuFIk6QTmc5CwvfbAyxB0ZFBTA9/TLm57/EurqULkUwKSkp4erVq9mnTx8C4KxZs7h58+bTmgLExYlhuuUW8oPUD/n5aDBh7BhVSKqGJNEOPPzww1i3bh2qq6thNBqbj7/wwgtYtWoVCgsLcc4557R57XXXXYfY2FicOHHilON33XUXPvvsM9TU1MBgMLS6LjU1FRMnTsQV/xgAqTQPCQlAQgIwcmTLObW1tdiyZQu+/PJL7Ny5E1qtFtdddx3uvfdeTJ06FRqNpj3dAwCQhMt1AlbrftTXp8Ji2YPa2niQThgMPREaOg+hofMQFrYAPj49213vyZAcEhoON8CWYUPt3lpYdltgP2YHNIBxvBGh80IRekkoQuaGQKvXduoeVW43MqxWpFutiLJYYLZYUCtJCNRqMSskBHNDQrAoPBzDAwI6VT9kGcjPBzIygMREYM8eIDkZkCSgXz9g3jzg4ouBhQuBoKAOVb1w4UL89NNPcHgcOFxxGPvL9iM6Pxp7cvcgvzYfWo0WEyMmYu6gubhy2JW4oP8F0Go6/juRQFGR6EJSErB7t3i2PB7gnHNaurBoERAc3OHqO4aGBmDXLuCnn4CtW4HyciAkBJg8GZg6FZgyRZRevTp9i6K6Ivx09CdsOboFplwT3LIbg0IGYWrfqZjSZwqm9p2KCb0nwN/g36n6ZVn8jlu2iJKZCej1wLhxogtN3Rg+HNCeNFxN490eWK1W7NixAz/++CO2bduGmpoahISEYPLkyZg2bRqmTp2KKVOmoEePHp3qAwB4PHWort6BqqqtqKraDo+nChqNHoGBo2E0TkRQ0CQEBU2E0TgWWq1vp+/TFbjdNbBaU1Ffn9JYkuFw5AAA/P2HIixsIcLCFqBbtwug1baeV9sDksjJyUFiYmJzSUtLg8vlwuDBg3H11Vdj0aJFmDFjBvR6fbvrPXm8nU5g/34xhTSVY8fE8zFrlnj3Fi0CBg/uVBcAAFUNVdhXvA/7ivchsTgR+4r3ocpehRC/EFw57EosGrEI84fOR5Bvx+apZpCi0fv2iQ7s2wekpQEuF3DuuaIDCxeKF0Dbufm8vSgoAH74QcxlZjNQXy/mrosuAubMASZMAMaOBUJDO1e/w+PAz1k/47fjv2FP7h4crzkODTQY33s85g6ai+l9p2Nsr7EYHDoYOq0OQMfebwBAYSHw/fdiTTGbgbo6IDAQmD1bdOL880UnOvmOyyRia2vxa3U19tTUIKm+HjKA/r6+mBsaipndumFcYCDOCwxEgE7XqXt46jyo+rkKNbtrULO7Bs58J6AFgiYFIXRuKIImBSFwbCD8h/hDo20/PzkZNtthVFX9jJqa3aitjYEsN0Cv746QkDkICZkNo3E8jMZx0Ou7dahet9uNH3/8EevXr0d0dDS6deuGa665BkuXLsXcuXNP4Wmffw7cdBPw5AsV4I6euCLJDzOsDqSkpOD888/vVL/aQrtJ6iWXXIKSkhIcPHjwlOO7d+/GJZdcgq1bt+LKK69s89phw4ZhxIgR+Pnnn085/sEHH2D58uU4cOAARo0a1eq6JpI66YZbkPb1Jvz6qyAONpsN27Ztw+bNm7F9+3Y4nU7MmjULS5cuxZIlS9Cz55kJJCnD5SqFw5ELu/0YrNb9zcXjqQIA6HTBCAmZjZAQQUwDA0e3m/CShMfigSPPAUe+Aw1HGmDbb4M1w4qGow2AJM7zH+GP0LmhCJ0XipCLQmAIa/+CIpMocbmQ53Ag127HAZsNGTYbMqxWnHC5AAC+Gg2mBQdjXmgo5oaGYnJQEHw6MlE6HGLSyM8HsrIEo8vIAA4cAKxWcU6vXmLymDtXlMGDgQ5sDCwOC/It+ciz5OFg+UG89e+30O2f3ZBVlQWJ4oca03MM5g6ai7mD5mL2gNkI8Qtpd/0ejyCj+flAdnZLFzIygJoacU737mIinzdPlOHDO9QFZSFJLcS/aeErLxffDRgATJwIjBgBDBsmytChYgw60OBaRy1+O/4b4gvjse/EPqSWpMLhcUCv1WNsr7EY03MMhnUfhmFhwzA8bDiGdh8Ko4/x7BWfhGPHgJ07RfMTEoCjR8XxkBDRhZEjRfO//HIhPvvsJwwcKEhte+F2uxEXF4fY2NhmElVRUQEAGDx4MMaPH49hw4Zh2LBhGD58OIYNG4ZevXp1cNMqob4+FfX1yY0lBTbbQYgXWAdf377w8xsAP7+BjZ8D4Os7AAZDGPT6YOh03aDXd2sXUSQJWXbA46mFJNXC46mDy1UGpzMfDkc+HI68xs98uN1lAACtNhBBQec3kuaJCA6eCn//oR3qoyRJyM/PR3Z2NrKyspo/U1JSUFlZCQAYOnQopk6diqlTp2LOnDkYNWpUh+7R0CCeh+xs4IknFmL69J9w6BCQni64nI8PMH684HHTpgGXXQaEhbW7epBEZUMlsquzkV2VjayqLGRXZyOtNA3Hqo8BALr7d8eUc6Zg6jlTMXvAbMzqPwsGXQcIvCQJFpid3VIOHxY7s6aJZNgwsRObOhWYP1/8/yfB42nZfO/ZA8THi00BIOQIY8e2lMGDxdTSs2fH5r18Sz5MeSaY8kzYnbMbxfXFAIAAQwBG9RiFsb3GIuHlBKz9aC0GdBuA/t36d2wT7PEIwr9njyixseJhAsSc19SBMWOAIUNEJ/r0ATpALms9HkRbLNhjsWB3TQ0O2mwgAC2Aof7+GGs0YmwjaR3o54eBfn7ortd3iAs4ch2o2V0Dyx4LLGYLXKVifdYGaBE4JhDGsUZBWof6w2+gH/z6+0EX0P4+yLITdXUJqKnZjZqa3aivTwLpBgD4+Q1EYOA4GI3jEBg4Gv7+g+HnNwh6fehZ+3D48GFs3rwZX375JbKzsxEeHo4lS5Zg6dKlmDlzJnQ6HZ54AlizBrj3pnNxy6dHMBH480jq6NGjERERgZ07d55yPDMzE6NHj8a7776L5cuXt3mt0WjEDTfcgPfee++U49u3b8dVV12FHTt24JJLLml1XRNJRdgXeGHlFQgL+wZbtmzBrl274HA4MHnyZCxduhTXXnst+vXrBwCQpAa4XGVwuUrhcpXB7S5r/L8EdnsuHI5cOBz5IJ3N9/HzGwKjcRyMxrHNA+rnN/CUQSQJySZBqpPgrnTDXeGGq8LV/Le7wg1noROOfAcceQ5I9VLztbpgXfOD2PQZODoQ+qBTV2WJRL3HA4vHgwq3G5VuNyqaisuFMrcb+Q4H8h0OFDqdcJ80dP19fZtfqKbPYf7+0P+elDqdYotdVQVUVACVlad+FhcLRpefD5SWtlxnMADnnScmhJNnuN69T5nZSKLB3YBaZy0qGypR2VCJCluF+GyoQLmtHAW1BcivzUdBbQHqnHXN14b4hUC7WYsbnruhmSyN7jm6lZRDkkQXqqtbmn1yF06caOlCcbE4HxCCjOHDRbPHjWvpQr9+fyIpPRtIsTg2SWlSU8WKX1jYck5QkJik+/QR4xER0fLZq5dg4SEhQLduQEBAq866JTcyyjKapU2HKw8juyobNY6a5nMijBEYGDIQvY29EWGMEJ9B4rNnYE+E+IU0Fx+dT6tu1NSIRTMxUXQhKws4fhxwOhcC+Al6PTBokJBiNzX95G6EhYkuhIQI6dDv1yGSyMvLayashw4dQlZWFgoKCtA0xQUFBWHQoEGIiIhA7969ERER0fx3r169EBIS0lyCgoKgbWNDJ0l22GwZsFrTYbfnnkQi8+FylQBoPZ1qtf7Q6YKh1bb+XYAWctq0sJwMjcYAX99+p5Bgf/+hCAqaiICA4dBoWi9mHo8HtbW1sFgssFgsqKmpQWlpKUpKSlBSUtL894kTJ5CXlwdX46bWx8cHQ4YMwbBhwzBhwoRmyXRYG4zR5QIslpZSWQmUlLSU0lLxWVAg3sEm6PULMX78Txg5skVRMH484Ps7oTRJ2D12WBwWWBwW1NhrUGYrQ0l9CUqtpSixtnwerz6OWmdt87XnBJ2DYWHDMKbnGEw9Zyqm9p2KIaFDWi/KsiwmEosFqK0Vc+LJjS8tFaWwEMjJAdzupk4IZjdiBDBpUoumo3v3Nsb3rwG3W/Dq/ftP3agXFbWc4+cH9O8vuN6AAeLdCw8XQsumzx49xDsYGNh6ziyzliGjLAMZZRk4UH4AGWUZ2P/afsg3yM3n9Azs2UxY+wX3Q4/AHggPCEePgMbPwB4I8w9DsG8wfPW/eygkSUwaBw6c2omcnJZz9Hqgb99TO9HU8JM7Exoq5s3f7YxtkoTMkwQ+GTYb9lutqPF4ms8J1GoxoJGw9vP1RU8fH4QbDOjRVBr/D9bpEKjTQfu7H8pV5oI1wwpbhq3505ZpA10tc4ehpwF+A/zgN8APPn18YOhhgE8P8dlcuhugC9JB66c95dmWZTcaGo7Aat0Pm61FAOd2lzefo9MFw89vUOMGeyB8fHrDx6fXSZ+9YDD0hFZrAEmkp6dj8+bN2Lx5MwoKCtCjRw9cddVVuOqqhfj006twrPgxfJz0yp9LUocMGYJzzz23lTQ0JycHQ4cOxbp163D//fe3ea1er8ddd92F9evXn3J8z549uPjii/Hjjz9i4cKFra6Li4vDzJkz4ed7KxzODwEAA/t2w6jhIRh9XgB69SK0ejt0hgZoDXZoDQ5odZ5T6qAMyE4jJHsQPLZQSPVhkOq7Q6oNg1wXCtkSDo3DFxqPBloPoPVoofVooHFroHdroHNqoXNpoHNpoEFrJiPrCKe/DHeAjIZgGQ0hEqwhEupDCGuIhLpQwhpEeLQauLVaeDQauLQaeLRauLVaOHSNRa+H5zRSTj+PB4EuF4KcLoQ1NCDc2oAwqxU9rFb0qK9Hz7paBDY4oPO4oPe4oXO7ofW4oXe5oXc54eNwwOB0weB0QC/LreqXATj8/dAQGIB6YwAs3YJQExyAmpAAVAb7oyrYD5VBPnBq3HDLLrhkBzx0wS074ZIdcMg2OGUbnHIDHLINbS7U0MNfEwJ/TQiMiIAREQiQeyNAioC/JwJ+7t7QOMMRF/tvjB37GpxOsRA6nWLzbLO1fDqdraoHICbOkBAxBzWRnJN5W0SEmIj/v4DDIVaYggKxiBYVCaZQVSVKZaWQRPweOp2YnI1GwN9f/CC/Lz4+gMEAh0ZGndQAi2RDtVSPOsmGOk8D6jwNqPdYUe+xw6MFJA1AjXiOZC2g0+nha/CDr94Per0PDDofGPQGGPS+MOgM0Gt9oNfpodXq8c22Q7h81kQ4bDo0NOjhcOjhdGjhsGtht2vhdmoBaAG2FFIDg0ELX18N9AYNDLrGTz2gb/xbrwO0OkALwuNxweVywOWyw+Wyw+l2w+N0wOl2wuV0QKYHAMWGAECTqsOg10Nv0EOn1UKv10Kn00On00Kn10Gn1UGn00Cj0UKr00Kr0UCr00ADCQCbP6GR0PjLoK33AtA0lpP6CQ0AHQgtZFkLUoYss7FIkGRC8kiQZRkejwTJI8Ejy5AkCW6PB5JHOqlONLIJDXQ6X/j6+MLg4wdfHx8YDL7w9fWHj48fDD5+0OkMkCVAkgGPRLg9gMfd+OkhJA/hdBNuFyFJEqBhYx9lUSDDz0+GX4AEP//Gv/088A/0wC9Agr+fB9/tTMc1l42EJHngltxwe5xwSy64JbcYJ48TTrcDLo8DsiRDy8ZfhoBWBnygRTd9AIL0RgTrAxCkC0CI3ohQvREhukAEa/2hlyhYmdMp3pPfF5tNaIKatEG/h7+/2BX16NHy2a+fKP37iwmlI2L/vzDq68WmvqSk5bOJn1dXi81l4x6mFQICRAkMFMXfX0wdTVOIry+QlPQgJs19CE5DKez6Eti1JbBpS2BFKawoh4MW2Glps34t9PDVBcBPEwhfXSD8NAHQa33ho/WDXuMDH60vDFpfBLp16FHvQPdaB8Lq7Qi1NCC0zoqQ2noYrXb42+3wc7bdCbdeD7efH1y+vnD7+MLj6wtJr4fH4ANZb4BkMMBj0KMmKAiVQcGoCApCpdGICmMAqgKNqPb3g9XHB1Zfn7bXbxK+kgxfWYKfR4KvJMOHMvQyYZAJg9z4t4cIqtOgW40WxhotjBYtjLVaBFj08LNq4Nugg75BA21bHERDSL6E5CM3FoB6QtLLoJ6Q9YCsJxBYD21INXTB1dAFV0EXVANdUBV0xhro/eqh9XG0rtvtC8ntD9njB8ntD4/TD3kFEg4etiEzuwYVVQ3Qaf1hCF2Nd6pW4hYAsbGxuOCCC073yHUc7TVeHTVqFC+++OJWxw8dOkSNRsONGzee9lqj0cjbb7+91fFt27ZRo9Hwt99+a/O6zz77rHEW9BZv8RZv8RZv8RZv8Za/cvnss8/aSyvbhXZvByMiIlo5PgFASUkJAKBPnz6KX3vZZZfhs88+w8CBA+Hv3zmHDi+88MILL7zwwgsv1IPdbkdeXh4uu+wyRettN0mdMGECzGYz6uvrEXSSx3ZiYiIAYPz48ae9dvz48YiJiQHJU2wnEhMTERgYiOHDh7d5XXh4OG688cb2NtELL7zwwgsvvPDCiz8Biqr5G9FuV+8lS5ZAkiRs3Lix+ZjT6cSmTZswbdq05vBTpaWlOHLkCDwn2cMtWbIEZWVl+P7775uPVVZW4ptvvsGCBQvaDD/lhRdeeOGFF1544cX/LtrtOAUA119/PX744QesWLECQ4YMwccff4zk5GTs3r0bM2fOBADccsst+OSTT5CXl4f+/fsDAGRZxsyZM3Hw4EGsXLkSYWFheOutt1BUVISkpCQM+xNDdXjhhRdeeOGFF1548ddDh1wUP/nkEzz55JP49NNPUVNTg3HjxuHnn39uJqgAoNFoWoX60Gq12L59O1auXIk33ngDdrsdU6ZMwSeffOIlqF544YUXXnjhhRdetEKHJKleeOGFF1544YUXXnjxR0DdPG1eeOGFF1544YUXXnjRCfwpJNXpdOKRRx5Bnz59EBAQgGnTpmHXrl3tutZiseCOO+5Ajx49YDQaMXfuXKSlpancYi+6gs6O9+7du3Hrrbdi+PDhCAwMxJAhQ7B8+XKUnpwJy4u/HLryfp+M5cuXQ6vVYsGCBSq00gul0NXx3rVrF+bOnYuQkBAEBwdj0qRJ+Prrr1VssRddQVfGe9euXZg3bx569uyJoKAgjBs3Dm+++SbkNpLMePHnw2az4b///S/mz5+P7t27Q6vV4uOPP2739YrwNUWjrrYTS5cupcFg4MMPP8z33nuPM2bMoMFgYGxs7BmvkySJM2bMoNFo5OrVq7lhwwaOGjWKwcHBzM7O/oNa70VH0dnxnjhxIocMGcJHH32UH3zwAVetWsXg4GD27t2bpaWlf1DrvegoOjveJyMpKYkGg4H+/v5csGCBiq31oqvoynh/+OGH1Gq1nD9/Pt966y2+++67XLFiBV999dU/oOVedAadHe9ffvmFGo2GY8aM4bp167hx40ZeffXV1Gg0fOCBB/6g1nvREeTm5lKj0XDgwIGcM2cONRoNP/7443ZdqxRf+8NJamJiIjUazSmTkMPh4NChQzljxowzXvvVV19Ro9Hwu+++az5WUVHB0NBQLlu2TLU2e9F5dGW8Y2JiWh2Ljo6mRqPhE088oXhbveg6ujLeTZBlmdOnT+ftt9/OgQMHeknqXxhdGe/c3Fz6+/vzwQcfVLuZXiiEroz3smXL6Ofnx5qamlOOX3jhhezWrZsq7fWia3A6nSwrKyNJJicnd4ikKsXX/nB1/7fffgu9Xo877rij+Zivry9uu+027N27F8XFxWe8tnfv3li8eHHzsfDwcFx33XXYsmUL3G63qm33ouPoynifHDWiCbNmzUL37t1x5MgRVdrrRdfQlfFuwqefforMzEw8++yzoNev8y+Nroz3O++8A5JYvXo1AMBqtXrH+y+Oroy3v78/fH190a1bt1OO9+7dGwEBAaq12YvOw8fHBz179gSADr+bSvG1P5ykpqWlYfjw4TAajaccnzx5MgAgPT39jNeef/75rY5PnjwZDQ0NyMrKUraxXnQZXRnvtmC1WlFfX4/w8HDF2uiFcujqeNfX1+ORRx7BqlWr0KtXL9Xa6YUy6Mp479q1CyNHjsTPP/+Mvn37Ijg4GOHh4Xjqqae8ZPUviq6M93333QdZlnHnnXfiyJEjyM/PxzvvvIMffvgBjz32mKrt9uKPh1J87Q8nqSUlJYiIiGh1vOnYiRMnVLnWiz8HSo/ZunXr4Ha7cf311yvSPi+URVfHe/Xq1QgMDMSKFStUaZ8XyqIr452dnY2CggLceuutuP322/Hdd9/h8ssvx7PPPovHH39ctTZ70Xl0ZbzHjRuHPXv2YOvWrTjvvPMwaNAg3HfffXjzzTdx3333qdZmL/4cKLX2dyiYvxKw2+3w9fVtddzPz6/5+9PB4XB0+lov/hx0Zbx/j+joaDz99NO4/vrrcdFFFynVRC8URFfGOysrC2+88QY2b97sTZX8fwRdGe8m9f6LL76IlStXAgCuueYaVFdX4/XXX8eqVataSey8+HPRlfE+cuQIrrzySgwYMAAvv/wy/Pz88MUXX+Dee+9Fr169sGjRItXa7cUfD6X42h8uSfX394fT6Wx13OFwNH+vxrVe/DlQasyOHDmCa665BmPHjsX777+vaBu9UA5dGe8HHngAF1xwAa655hrV2ueFsujqfK7RaHDDDTeccnzp0qWw2+0dNgXyQn10Zbwfeugh6PV6mM1m3HTTTViyZAm+//57zJw5E/fccw8kSVKt3V788VBq7f/DSWpERESbYt6SkhIAQJ8+fVS51os/B0qMWWFhIS699FKEhoZi+/btCAwMVLydXiiDzo73nj17sGPHDtx///3Iy8trLh6PBw0NDcjPz0d9fb2qbfei4+jK+9303e9tj5scNWpqapRqphcKoSvjHRsbi7lz57ZyklqwYAFOnDiB/Px8ZRvrxZ8KpfjaH05SJ0yYgKysrFYLTmJiIgBg/Pjxp712/PjxSE1NbWVUn5iYiMDAQAwfPlz5BnvRJXRlvAGgqqoKl156KdxuN3bs2OF1pvmLo7PjXVBQAABYvHgxBg8e3FxOnPh/7d2/S+tgFMbxvu+gQpEIVqGTLbg7KJVIHQSdHQTBSUFB3FycHAMO4qQ4qIOD4OSQToqD/4DoKggOilwHERE6iKY8d2q4vd4fbVPTDN8PZDl0eA+HNA+FnvxIXVxcpPL5fOrw8PB7D4+GRbm/R0ZGUpJSj4+PNfXqg62vr6/Fp0VUUeYdBMEffy2t/ss7CIIWnhTt1rK8Vveyqhap7lnb2toKa9U9a67rhrWnpyfd3Nzo8/MzrFX3bp2cnIS15+dn9fT0aG5uLp4G0JAo8y6XyyoUCnIcR9fX17GeG81pdt4PDw8qlUo1l+/76u/vV6FQUKlU0t3dXez94N+i3N++78sYo/X19bBWqVRULBaVyWT08fERTxOoW5R5F4tF9fb26uXlJawFQaDh4WE5jqMgCOJpAk25vLz8657U78xrbXnj1OzsbPjGir29PY2Njamjo6Nmefv8/LyMMbq/vw9rlUpFruuqu7u75g0GjuPo9va2Ha2gDs3Oe3p6WsYYLS4u6ujoqObyfb8draAOzc77TwYGBljmn3BR5j05OSlrrZaXl7W7u6upqSkZY3RwcBB3G6hTs/M+PT2VtVaDg4Pa3NzU9va2XNeVMUYbGxvtaAV12NnZked5WllZkTFGMzMz8jxPnufp7e1N0vfmtbaE1Pf3d62trSmbzaqrq0ujo6M6Pz+v+czCwoKstV++1F5fX7W0tKRMJqN0Oq2JiQldXV3FeXw0qNl553I5WWtljPly5fP5uNtAnaLc37/jjVPJF2Xe5XJZq6urymaz6uzs1NDQkI6Pj+M8PhoUZd5nZ2caHx9XOp0O572/vx/n8dGgXC4XPnetteEz+df5fmdeMxJbkwEAAJAssf9xCgAAAPgfQioAAAASh5AKAACAxCGkAgAAIHEIqQAAAEgcQioAAAASh5AKAACAxCGkAgAAIHEIqQAAAEgcQioAAAASh5AKAACAxCGkAgAAIHF+AoC+nWBPkUlaAAAAAElFTkSuQmCC", "text": [ "Figure(PyObject )" ] } ], "prompt_number": 181 } ], "metadata": {} } ] }