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{ "cells": [ { "cell_type": "markdown", "id": "aa0b11a5", "metadata": { "id": "aa0b11a5" }, "source": [ "# SW11-Exercises\n", "## PID controller for a thermostat\n", "\n", "Data has been arbitrarily invented. We use kWmins as unit." ] }, { "cell_type": "code", "execution_count": 8, "id": "3274c77e", "metadata": { "id": "3274c77e" }, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pylab as plt\n", "import numpy as np\n", "from scipy.interpolate import interp1d\n", "\n", "number_of_hours = 24 * 10 #Define the number of hours to simulate\n", "\n", "irrad_data = np.loadtxt(\"irrad.txt\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "48a649b2", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 448 }, "id": "48a649b2", "outputId": "ff1e9fbd-c7dd-4076-fbe8-3fe241cf53de" }, "outputs": [ { "data": { "image/png": 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iNLhoxtCNNf83Nx8A8PFRE5xuTzjCIyTqUAIVQVoVHqLJ8U/Ezd02GqZJiEz+8FEV+hxuLCpLw6f3LINBr8G++m68tacx3KEBAD483AoAOH9qFvQa9ZDrTitMRUaSHlabC19Wd4YjPEKijmwJFGMMJpNJrruLSVICZVB2rAKvcPU73bD0uxR9LEJiQYvZhv/sE3ex3f/16SjJSMRt504CADy/pTrsH1QYY/jwkDhQ+MIZOcOuV6sEXDAtCwDw8dHWkMZGSLTyOYFKSEhAW1ub9P3FF1+M5uZm6XuTyTRk/hLxX4tFbCJXcoQBAMTr1EhNEJvUm6kPipCg/Xd/E9wehtNLUjGrwAgAuP6MYsRr1TjaYsXO2q6wxlfT3ovajj7o1CqcMzlzxNssqRAv33aiI5ShERK1fE6gbLahyz1ffPEF+vuHvvmG+1NWtGsNwRBNLmfQMh4hJDjv7hc/TF42J0+6zJigxSWzxQ+V7+4L74yl7d5lublFKUjSj7x3aGFZGgCxd6ur1xGy2AiJVrL2QCm5cywW8GNclK5AAUCekRrJCZGDyWLDvvpuCAJw8cyhy2M8gXr/YEtYm8m3V4tVpUVl6aPeJiNJj4qsJADAlzXUB0XIeKiJPEIwxgaOcTGEogLlHWVgpiU8QoKxzZucTM9NRtYpf7tnTcpAcpwG7T127DoZnmU8xphPCRQAnDlJvJ7fnhAyOp8TKEEQhlSYTv2eBMfc74TdJW4fzlLoIOHBpONcqAJFSFB4z9DiScOTE51GhaVTxObsz6vahl0fCjXtvTBZ7dBpVJhblDLmbecVpQIA9jV0Kx8YIVHO5wSKMYbJkycjLS0NaWlp6Onpwdy5c6Xvp06dqmScEx4fopmaoEWcVj3OrYPHRxm0UAJFSFC2ehOoM0dIoADg7HLx8s+Pt4cspsH4ctxphSnjvrbM9jbAH26y0DwoQsbh8yTydevWKRlHzGv17sALRQM5MFCBaqYlPEICZrLYUNfZB5UAnF6SNuJtzvbubtvXYIbF5kRynHLHNI1kX303AGBBceq4ty1JT0RynAYWmwuVLVbMzDcqHB0h0cvnBGrFihVKxhHzQrkDDwByvefhNZvF3ZW0HEuI//Y3mAEA5VlJMIySGOWnxKM0IxE17b34sroTX5uePeLtlLLXm0DNLkgZ97YqlYDZBSn4/Hg79jV0UwJFyBhkayJvbm7GypUr5bq7mDP4HLxQ4I/T53DDYqNhmoQE4kCjmECNl2gsLBWrU6FuJO93uFFl6gEgLuH5gi/j7a83KxUWIROCXwnU4cOH8ac//Ql//etf0d3dDQBob2/HXXfdhbKyMnzyySdKxBgTWkJ0jAsXr1MjhQ/TpGU8QgLCE6jZ4yRQ87zLZ7tDnEAdajLD7WHIMuh9Ho/CK1X830YIGZnPCdR///tfzJ07Fz/+8Y9x6623YsGCBdi0aROmTZuGvXv34vXXX8fhw4eVjHVCM4W4AgUMOhOPGskJCQhPMmaNszw2eHdbKJuz+fLdHB+rT4A4jgEAjpt64KJGckJG5XMC9cgjj+DWW2+FxWLB2rVrUV1djVtvvRXr16/Hpk2bcOmllyoZ54QnVaBCMMKAy5VmQVECRYi/Wi02tFntUKsEKekYTVlGIlIStLC7PDjcZAlRhAM9WnMKfO9lKkiNR4JODYfbg5r2XqVCIyTq+ZxAHTlyBD/60Y+QlJSEVatWQaVS4cknn8Q555yjZHwxo8Uc2l14wKCdeN20hEeIv440i4lQWUYi4nVjjwdQqQSpChXKPig+z8mfCpRKJWBKjgGAeKwLIWRkPidQFosFKSkpAACNRoP4+HhMnjxZqbhiitPtQUdvaA4SHiyXjnMhJGDHvc3Zk7MNPt1+nneI5R7vsprSzP1OnOzoAwDMzk/x62enehOoSkqgCBmVz2MMALGJvKWlBYA4WLOyshK9vUNLvLNnz5YvuhjRZrWDMUCrFpCWoAvZ4/IDhfnyISHEd1WtYgJV7j0/bjy8T+pQiJqzj3orZPkp8TAm+Dd7ako2r0CFbrmRkGjjVwJ1/vnng7GBAzF535MgCNIsIbfbLW+EMYAnMFmGOKhUoZvHxA8UbqIlPEL8VmUSqzMV2b4lUDPzxD6p6vZeWG3OUedGyYUvv03L9a1CNthUb08XLeERMjqfE6iamhol44hpA0M0Q9dADgwsF9IwTUL8wxiTKlAVWb4lKOlJeuQZ49BktuFwkwULxznYN1i8ejRtnAb3kfAlvIau/pAke4REI58TqOLiYiXjiGmtfIRBCPufgIExBn0ON6x2V8iPmCAkWrVa7LDaXVCrBJRkJPj8czPyjWgy23AwBAnU4WaxejQ1x/8EKiVBhyyDHiarHcdNPZhbNP4xMITEGp8TqM2bN494udFoRHl5ORITE2ULKta0eM/ByzKENoHiwzS7+5xo7rYhOYcSKEJ8wZfvitMToNf4fvj3zDwjNh5uVbwPyu1hOOZdfpsawBIeIPZ2max2VLf1UgJFyAh8TqCWLVs26nVqtRq33XYbfv/730OrpTdhf4WrAgWIgzu7+5xoNvdLW5cJIWMbWL7zrf+Jm1UgVoMONimbQJ3s6EW/0404rQol6YF9uJ2UmYStJzpwoq1H5ugImRh8TqC6ukaeXdLd3Y0dO3bgpz/9KXJycvCLX/xCtuBiBR9kGcop5FxeSjyOtlhpmCYhfqhuF5OKskz/EqiZeeJAy+OmHvQ5XEjQ+bWPx2e8+XtKtgHqADemTMoUEy9KoAgZmc9/vUbjyJNsjUYjiouLodPp8Itf/IISqAC0WnkTeRgqUHwnHiVQhPiMz1cqSfe9/wkAspLjkGnQo81qx5FmC+YXpykRnjTCIJD+J26St7p2oi1yppH32l144fMa1Hf24bI5eThncma4QyIxzK/DhMcyZ84cnDx5Uq67iynh2oUHDIwyaKEDhQnxWV2nmEAVpfm/PDbDO87gSLNyIwJ4A3kgIww4Xl072dEb0vP7RtPvcOPav27H4xuP4fVdDbjxxR14bWdduMMiMUy2BKqpqQlZWVly3V3MsNqc6HWIs7PC0gNFBwpPSL12F/71ZR3W72qA3UWz2eTkcnvQ2CV+4PBnBx7Hq0JKDqnk9z01gBEGXG5yHOK1ajjdDPXehDGc1n5YiQONZqQl6rB8Zg4A4IH/HIqI2EhskiWBMplM+OUvf4nzzjtPjruLKbyB3BCnUawfYix0nMvEY+534v+e+QK/eOsAfvL6Ptzwwg44XOGvIEwUTd02uDwMOo0K2QHsnOVVoaMKVaAsNicavAnetCCW8FQqAWVSH1R4l/Eau/vx923iCsfvvzUHz1w/D2eWpcPu8uDJj6rCGhuJXT4nUHPnzsW8efOGfU2aNAmFhYXo7OzEo48+qmSsE1Krd4RBOBrIgYEEiprIJ47H/ncUx1p7YIzXIkGnxo6aTjy3pTrcYU0YtR1iMlGUlhDQyQEDFSjrkJMd5MLPr8szxvl9hMupJmXyPqjwNpL/fdtJONweLCxNw7IpmRAEAT+7eAoA4N19TWjvsYc1PhKbfC55XHHFFSNenpycjKlTp+LCCy+EWu37PBQiajGHr4EcGBim2WN3wWJz0jDNKFfX0YfXdtYDAP56w3w0mftx12v78NfN1bj5rJKwVDknmpPeJaPiNP+X7wCgLDMRWrWAHrsLDV39KAzwfkYjNZAHsXzHSQmUKXwJlMvtwfrdDQCAm88qkU5MmFuUijmFKdhX3403dzfgB+dMCluMJDb5/Gp67rnnYvHixdBo6AVYTvwcvHAlUDRMc2J57as6uD0MZ5dnYGFZOtwehic/qsLJjj68u68J15xeFO4Qo16dtwJVHOB8Ja1ahfIsA440W3C0xSp7AjUwgTz4uW6TssR/Y3V7+JbwtlS1o81qR3qiDudNzR5y3VXzC7CvvhsbDrRQAkVCzuclvHPPPRednZ1KxhKTBoZohn4HHpfnrULRocLRze1heHN3IwDg2jMKAQBqlYCrF4j//7/7m8MW20TCRxgU+znCYLBpObwPSv5G8mDOwDtVWYZYgaoO4xLexiOtAICvz8qFTjP0LeuiGdkQBGBffTcauqiZnISWzwmUEmv1JLxDNLmCVDGBoheg6La/oRvNZhsMeg0umDbwSf3rs3IBAFtPdKCr1xGu8CYMaYRBEAkUP16FD7yUi8fDpB4oOSpQfJdhV58T5j5n0PfnL8YYPjliAgCcP234Lu8sQxxO987S+uSoKaSxEeLXLjy+9kzk0xrmJTwAKEgVXyT5zh0SnT6tbAMALJmcgTjtQD9iaUYiJmcnwe1h2FbdEa7wJgTG2EAFKoilN95IfkTmUQb1XX3oc7ih06hQmhH8+aQJOg2yDGJ1/GRn6JfxDjVZ0GKxIV6rxqJRDl8+Z3IGAOCL4+2hDI0Q33ugAOD//b//h4SEsV80Hn/88aACijW8B4o3c4cDr0DVUwUqqn12TEyglo4wnXnxpAwca+3BF8fbpYoU8V97jwP9TjcEYeCDRyB4Baq2vRf9DjfidfJswOEVrfLMJGjU8oz5K0lPhMlqR21HH2YXpMhyn77aXCU+p88qH/qhYLCzyjOw9sNj2HaiA24PC/joGkL85VcCdeDAAeh0ulGvpwqVf1xuD9qs4vbb7DD2QA0s4VEFKlp19zmwr6EbALB08vCljrPKM/DS1lpsO0EVqGDwPsFsQ9ywfhx/ZCbpkZ6oQ0evA1Umq2yJibR8F8QE8lMVpydgR20nasPQSL6jRuy7XTxp5OoTAMzKN8IQp4HF5sKBRjNOK0wJUXQk1vmVQL311ls0bVxGbT12eBigUQnISAxnAkVLeNFuT103GAPKMhJHnGi/sCwNgiDupmrvsSMjKXzPt2jW6E2g8lKCW3IXBAFTcw344ngHjjYrkEDJ0P/ElXiXAvn8q1Bxexi+qhUPsT+jdPQzAzVqFRaWpuOjI63YWdMZcQkUYwy767rQ3efE2RUZ0Gto3M9E4fNHKKouyY83kGcZ9AEN5JNLvrcC1dnrQK/dFbY4SOB2nRTfaOYWpY54fXKcVprps99bqSL+4xWo/CCW7zjeB3VYxp14vKdqShATyE9V4h3XwHu/QuVIswU9dhcMes24OwrnFacAAPbUd4UgMt+5PQw/+fc+fPPZbfje377CpU99Lq06kOgn2y68jo4OPPnkk8HGE1MGRhiEr4EcAIzxWiTHicXIRhplEJV214lvHPOLR06gAGCOt8qxt94cipAmJLkqUMBAlUiuM/FsTre0zCZnBYqPazgZ4grUl97luwUlqeP2Nc3zfnDYU9etdFh+WfdFDd7c0wi1SkCSXoMqUw9+9sY+2tU+QficQK1btw5Go3HIZYwxfPDBB7j66quRl5eHRx55RPYAJzJ+/ly4EygA0jA/GmUQfVxuD/bVdwMY+CQ+kjmF4t8vvy3xHz9EOD8l+E0fvKoi15Eux0098DAgJUEr7ZyTA0+g2nscsNpCN8pgpzeBOn2M5TtudoERapWAZrMNzebI+BBo7ndK5/Q9dPkMvHX7YmjVAjZVtmEr9SJOCD4nUCtWrIBeL/5R1tbW4oEHHkBxcTG+/vWvIy4uDhs2bEBLS4tigU5E4Z5CPhg1kkevY6096HW4kaTXoCJr9MoDr0Dtb+imT8ABajLLl0CVZyVBJQDdfU7pTMxgHB3U/yRny4UhTouMJHHzUCiX8fimiHmjLEsPlqDTSFW3SKlCvbKjDj12FyZnJ+HbZxShItuA684QTwJ4ns6mnBB8TqDsdjteeeUVnH/++Zg2bRoOHjyIxx9/HCqVCvfeey8uuOACOgvPT60RMESTo0by6HWwSVySm5mfPOZSx9RcA9QqAV19Til5J/7hFag8GRKoOK0aZd6+NDnmQUln4MnY/8TxY2tC1UhustrQbLZBEICZ+cbxfwDA3KIUAMDeCKiwMsbwyo46AMAtS8qkHtebzyoFAHx6rA0m+huMej4nUPn5+Xj22WdxzTXXoKmpCW+++SauuuoqJWOb8FoipAcKoGnk0eyI941zeu7YbzR6jVoarlgp8wTsWNDncKHLO42bb7wIFq+aHG4KPoGqbBX/m06Rsf+JG+iDCs3rw8FG8UPBpMwkJOl92yw+y5toHWoKf4/fgUYzTnb0IV6rxqWzB+aulWYk4rTCFDAGvH+QVmyinc8JlNvthiAIEASBKk0yiYRjXDiqQEUvnkBN82H2D39zPdZKCZS/+A48g16D5Dh5Dt2ekSe+6R+RYSceX8JTIoEq5RWoEM2COtAg/j5m+1h9AgZ+l4ebLGFfoubnTp43LQsJuqEJIE+o3jtAZ1NGO58TqObmZvzgBz/AK6+8gpycHHzzm9/EW2+9ReMNAsQYi8gKVH0nVaCiCWMMR5rFN05fDo+dkq3MGWyxoLFb/HuVq/oEANPzvKMMgqxAdfTYpe3x/L+xnIpDPAvqQGM3AGBWge8JVHlWEjQRskT90WHxAORLRpj6/7Xp4jmVu+u6aGxMlPM5gYqLi8P111+PTz75BAcOHMC0adOwatUquFwuPPLII9i4cSPcbreSsU4oln4XbE4PgMhoIudvCl19TvTQH3XUaDbbYO53QqMSUJGdNO7tJ2dTBSpQTd3y9T9x071Jb01Hb1BvpnxJtigtAYk+Lnn5o8S7hFcboiW8/Q3iMtwsPypQcVo1yrPEvwE5lkQD1dTdj+r2XqgE4OyKjGHXF6UloCA1Hk43kyatk+gU0FkEkyZNwq9//WucPHkSGzZsgN1ux6WXXkpTyv3QbBFfjFMTtKOe8RRKyXFaGOPFZQmqQkUPvvQzKTPJpwnHvOemqrUHbg/txPPHQAO5fB94Mg16ZBn0YCy4eVBKLt8BQHGaWIFqs9oVr5q0WmwwWe1QCQMVOl/xhDScCRQ/1HhOYcqIS72CIGCJN7HaUkUHIEezoE6bVKlUWL58Od544w00NjbizjvvlCmswKxevVrq0+JfOTk5YY1pNLz/KRKqT5x0ZEMYzrwigfGn/wkQ533FaVWwuzyoo0TZL9IU8pTgp5APNkOGZTyefMk5QHMwY4IWqQliMqB0I/kBb/WpIsswrH9oPDzhOhQBCdTZ5cOrT9ziSeJ1O2upAhXNZDmuu6WlBQ8//DAeffRROe4uKDNmzEBzc7P0deDAgXCHNKJImUI+WKm3TF8T4onDJHDS7B8f+p8AQK0SpKM5atp7FItrImqQcQr5YHK86fOfneFnxcYf/AOW0hPJ+YeCQP4tvAJ1qDk8O/EYY/jCOyTzrDESKH5iwJFmC/od1PoSrXxOoLq7u3H99dcjMzMTeXl5eOqpp+DxePDAAw+grKwM27Ztw4svvqhkrD7RaDTIycmRvjIzM8Md0ohazGLDZyTswOOoAhV9TrSJ/60qssbvf+L4KIOadqpA+YNXoApkbCIHBu0eC3Annt3llnra+H0pQUq8FU6gjgYxjoFvpKjv7A9Lg3ZDVz/arHZo1cKYhxrnGuOQnayHy8NwoDH8YxdIYHxOoH7xi19g8+bNWLFiBdLS0nDXXXfh0ksvxeeff473338fO3fuxHXXXadkrD6pqqpCXl4eSktLce2116K6euyJr3a7HRaLZchXKLR4e6AiqQJVIm1VpjfWaODxMKmKxA8K9sVAAkUVKF95PExads81yp1ADRzp4nR7/P75qtYeON0Mxnit7MndYNIsKIVfH455q6qTA0igUhN1yEgST8w40Rb65zc/k3J6nnHM3lZBEDC3kJ/fF1kHIBPf+ZxAbdiwAevWrcPatWvxzjvvgDGGyZMn45NPPsHSpUuVjNFnCxcuxMsvv4wPPvgAzz33HFpaWrB48WJ0dIx+7tCaNWtgNBqlr8LCwpDEGkkzoDhegaIlvOjQZO6HzemBTq3y641zoNJIibKv2nvtcHkYVAJkPWcOAApTE5Ck18Dh8qC6zf+/PT50cmZ+sqJjZUJRgbK73KgO8kBkXo091hr6BIofIzN3jOoTxyen76YEKmr5nEA1NTVh+vTpAICysjLExcXhlltuUSywQCxfvhzf/OY3MWvWLFxwwQXYsGEDAOBvf/vbqD9z3333wWw2S1/19fUhibXFe/ZVdgRVoPiwvFDstCHB48t3xekJ0Kh9b2cskypQlCj7qtW75J6RpPfrd+0LlUoY6N0JYIo2P8pHyeU7IDQ9UCdMvXB7GJLjNAF/uOTjPKpMoR/VwY+R4cnRWOZ4k6yDjeFreCfB8fmVwOPxQKsd2JKpVquRmJioSFBySUxMxKxZs1BVVTXqbfR6PZKTk4d8hYLURB5BFajBO21CNTCPBO6Eyf/lO2BgCU+sYFEDqy+UPvg7mIGaoWggBwZmQbVa7OhzKPMBq7J14Dy/QKtpFdkDozpCye5yS//9+PLcWKZ5zyxs7O6H2XtEEIkuPu8RZYzhpptugl4vlq9tNhtuvfXWYUnUm2++KW+EQbDb7Thy5AiWLFkS7lCGsDnd6Ox1AIisBAoQP2V21XWjtr1P8U+0JDi8x2NSln8fZNISdTDEaWC1uXCyo0+x2UETSWuIEih/G4pdbo+0a83XQ3cDlZKgQ0qCFt19Tpzs6PNp8r2/KlvE5/TkHP8+FAzGl/BCXYE61GSBw+1BWqIOhWnjL6kbE7TIT4lHY3c/jrRYsKgsPQRREjn5XIFasWIFsrKypF6h73znO8jLyxvSP2Q0hvcN95577sFnn32GmpoafPnll7jqqqtgsViwYsWKsMZ1Kt7/lKBTIyVBnjO15FIa4lPXSeCkBMrPCpQgCIOW8aiR3BcDY0fk7X/i+I6tA41muPxoJK9u74XN6UGiTi397SqpOF3ZZbxK7zyrKTmBJ2d82n59Z79ilbKR8F60OQVGn6tnPAmV4yxEEno+V6DWrVunZByyaGhowHXXXYf29nZkZmZi0aJF2L59O4qLi8Md2hCDj4SItLMES6g/JmrwHih/EyhA/O+8r8FMowx8pPSmj/LMJBj0GljtLhxr7fF5Avdeb9PyjDwjVCrlX0tK0xOwr75bsecNP5ImmIGgaYk6pCfq0NHrwAlTr1/n6QWj0s+ZbAAwPdeAj460UgIVpWQ9NMlkMoX1OJdXX301bI/tj0ZvApUbQQ3kHO+PCccWYOI7c79TOjy2LNP/ykNRmtjP0tBFCZQvlO6BUqkEnFaUgi1V7dhd1+VzAsV3cM0tTlEkrlMpWYEy9zvR5E1UJ2cFt6xckZ2EjupOHGu1hiyB4rO4/DnMeaACRWdTRiOfl/ASEhLQ1tYmfX/xxRejublZ+r61tRW5ucNPnibDNfFT3WU8lFQuvPx9vLUHjNFZaZGq2pvgZifrYRjhvK3x8LEH9d7z3cjYQnFyAN/6zrfC+4InUPOKxm9alkNJBj9UWP4EqsqbgOQa42AMsrWhwpuAVZlC80GQMSZVoCYHkEBVtlr9WrolkcHnBMpmsw15Q/3iiy/Q3z/0xZfecH2jxKnucinNSIRGJcBqd6HZ+2mQRB6+xMorhv4qTKUKlD9CMbdtrjcJ2lPv21wgi80pJQghS6AUHLYr54HIk/kog9bQVHZaLXZYbC6oVYJfFeGitATEa9VwuDz0YSYKyTrQJNL6eSJVkzlyEyidRiW9KVeG6MWH+I8fBFwSYONwgZRA9cPjoQ8+Y+l3uGGxic3ISs5t443k1W296O5zjHv7vXXdYAwoTItHpszDPUfDn28tFpvsZ7hVyphATfLuxDseolYEvnxXkp4w5gTyU6kGJVzHQ1QtI/KRdyIc8UmjQoeSyoUfoRCqT2/Ef3UdYgJV6O1l8lduShxUAuBwedDeY5cztAmH9z/Fa9Uw6GVtGx0iNVEn7Y70ZTo1v838EFWfADFGY7y4vMaTeLlICZQfS2Cj4Rsr6jv7YHcpP+vsWBDn9/FYqe80+vicQAmCMKTCdOr3xDeMMWkJLxJ7oICBFzA+k4VEHv7mxc8n85dWrZLOdKunZbwxSct3xjjFX/MWlqUBALYeH/34KW57tXibBSVpisZ0Kj5QU86duowxqeItRwUqy6BHok4NDxv4sKGkQPqfuHJeLaMKVNTxOYHiZ9+lpaUhLS0NPT09mDt3rvT91KlTlYxzwujqc8LmFJsFI+kg4cF4/8AxqkBFrJPeBKoowAoUMNBI3kC9F2MyWfkOPOWXyc4qzwAAfH68fczb9Tlc2H2yGwBwtvdnQkWJnXitFjvM/U6oVUJAYzlOJQiCtIx3IoDzBf3FXysDSaCoAhW9JtQcqGjAq0+ZBj30Gt/XykOJvwhUmazweFhI5ssQ3/U73NIIg+K0wIcnFqQm4MuaTtTLvBQz0YTy4O8zvdOoj7ZY0d5jR0bSyEnbztouONwe5KfEB1yFDJR0GLWMCdRR7wBNf3uIxlKWkYj9DWZUKzws1uNh0sHFASVQWQM9UIwxWtmJIj4nUJE2zTtaNUbwDjyuOD0Reo0KNqcHJzv7At7pRZTBl++S4zRBbffmx01QBWps0gyoEFSM05P0mJ6bjMPNFmw90YHL5+SNeLsvvBWqs8rTQ/6Gy5fw5NyJNzBAU77jYcp4ZcekbAWqoasf/U43dGqV9LvxR0l6IlQCYLW50NZjR5YhMlcmyHB+NZG//vrruP7663H11Vfjr3/9q1IxTWgD/U+R+0eiVgnSNN39Dd3hDYYMM9D/FFxiy3fiUQ/U2EJ98PfZFeKS3CdHWke9zcfe684K8fIdMFCBknMJT87+J47vblO6AsVjn5SVBI3a/31ZcVq1tBmE+qCii8//tf/617/immuuwVdffYXKykrcdtttuO+++5SMbUKSZkAZI7cCBYjnOQHA/gb/DjclyuNvXMH0PwFAIfVA+SSUS3gAcNGMbADAx0dMI+4gq2q14kRbL7RqAedODf3JD3yUQZPZBptTnh1uwTRhj6YsQ6xAVbf1KjqjcGACeeC9W+WZoevXIvLxOYH64x//iPvvvx+VlZXYt28fXnjhBTz99NNKxjYh8SnkkbyEBwCzC1IAAAcogYo4vGepKMjelwJvAtbU3Q83zYIaVatF7DfLClECNbcwFTnJcbDaXdhybHgz+fsHWwCIzePJAUyhD1ZqghaGOLH7Q45RBm4PkwaCBnMG3qlKMxIhCOIRMZ2948/VCpSU/AURO6+WnaAKVFTxOYGqrq7GzTffLH1/ww03wG63o6WlRZHAJqpo6IECBipQB5vM9OYaYeTYgQcA2QY9VALgdDOaBTUKj4eF5BiXwVQqARfPzAEAvLWncVg863c3AAC+Pis8R2cJgiD1RcoxyuBkRy8cLg/itKqA55qNJF6nlir91Qoejh7IGXin4suics/WIsryOYHq7+9HUtJAiVKtVkOv16Ovj/6D+yPSZ0BxZZlJSNSp0edw07p8hJF6oIJ8s9GoVdLhuPx5SYbq6HXA5WEQBHG2UKhcvaAQAPC/Qy1D/tt8frwdJzv6YIjT4JLZ4Tt7VM5RBoOX79Qy7/hVurLjdHtQ7V12C2b5UToiR4EzBoly/Bqr+/zzzw9JolwuF1566SVkZAw0Mq5atUq+6CYYh8uDNu8n/UidQs6pVQJm5hvxZU0n9tZ3ydrcSQLn8TA0dIpvqHJ8Ws81xqHZbEOz2Ya5Qd/bxMOrT+mJemgDaBAO1PS8ZCwsTcOXNZ3482cn8PA3ZoIxhj98XAUA+Oa8AiTolJuKPp5SvhNPhiGVlUHMUBrPpMwkbKlqV6wCdbKjFw63B4k6dVAfivkoivrOPrg9TPZEkijD57/AoqIiPPfcc0Muy8nJwd///nfpe0EQKIEaQ1N3PxgD4rQqpCXqwh3OuE4vEV/At1d34prTi/z6WY+H4e29jfj4iAkJOjVuPLMEs7zLgiRwLRYbHG4PNCpBlmXg3JR4oK6bKlCjGFi+C131ibvj/Ap8+/kv8Y/tJ/G16dk41tqDXSe7EKdV4bZlk0Iez2DF0qHCwScmciyBjUbaiafQkEp+WkN5tiGoeXm5xnjo1Co43B40m/ulHbIksvmcQNXW1ioYRmyoG9S7Eg3D0s6clI6nNx3H1hPtfg1463e4sfJfu/HxUZN02Vt7GvH0t+dJvR0kMPw5VJAaL8un1DxvX0+zd6cZGaolxCMMBltcnoEr5+bjzT2NuOGFHdLl91w4RVp6DZeSDPEN/qQcFSgZDxE+FZ/yXa3Q7rZKGXbgAWLFvyAtHtVtvTjZ0UcJVJSgw4RDiM/bKYySP475xanQqVVotdh9bhZljOGnb+zDx0dN0GtUWHluOS6YlgWXh+En/95LU6+DxM/1KgpyBhTHz8NrNlMFaiStZn6MS3gSlkevnIVvnCYO09SqBfz4vHJ87+zSsMQy2MAog/6gRhnYnG5pGVCJBIpXoOo6++B0e2S//2Myjl+gPqjo43MF6uWXX/bpdjfeeGPAwUx09TL2roRCnFaNuUUp+LKmE1+c6JAm+47l7b2N+O/+ZqhVAv723TOwqCwdbg/DdX/djh21nfjdB5V46jrqtgnUQBVTnk0IvBePj9cgQ0lTyMOUQMVp1fjDtXPx4GUzoFULMIRhbMFI0hJ1MMRpYLW5UNvRG/AE8RNtPXB7GIzxWkWa9HOS45Dg3QxzsqNPOrhXLsdkHADK+6DkqOqR0PA5gbrpppuQlJQEjUYz6lAyQRAogRoDr75ESwIFAOdMzsSXNZ3YeLgVNywqHvO29Z19eODtQwCAO8+vwCLvuV5qlYAHL5+OS576HO/ub8KdF1T4lIyR4U5KO/CoAhUKLd4ZUOFYwhss0nomBUFARVYSdtd1o6q1J+AEanD/kxJtDXzkwqEmC6rbemRNoMTqmVgtkqN/q0TGvjISGj4v4U2bNg06nQ433ngjPvvsM3R1dQ376uzsVDLWqDewhBfZIwwG4z1LW4+3w9znHPV2bg/DT/69D1a7C/OLU4c1uc7IM+LcKZlgDHjtq3pFY57I6mROwnO9FSiT1a7IEke0k5bwQjQDKppUZIlJQzBjTo4q2P/E8Q9rcu/EO27qgYcBKQlaZMpQPaMKVPTxOYE6dOgQNmzYgP7+fpxzzjlYsGABnn32WVgsFiXjm1DkfvMLhUmZSZicnQSXh+HDw6MPTf3L5hPYUduJRJ0aT1x92ohnQl1zujjb5s3djXDRm3VA6ryfeIuDnELOZSTqoVULYGxgxxkZEM4m8khX4W2cDiaBOibDFO/xTFJoJ16VaaD/SY7qGa9AnexU9ugZIh+/msgXLlyIv/zlL2hubsaqVavw73//G7m5ubj++utht9Mk47FYbU50eys40ZRAAcBls8Um1n/tqBvx+oONZjyx8RgAYPXlM0Y9YuS8qdlISdCizWrHrpNdygQ7gVlsTnTJ/BxSqQRpwjbtxBvK5nTD3C/+vimBGo4vh/FEIhDHWsWkRokRBlyZQjvx+AgDuWLP9+6stTk9MFnp/TQaBLQLLz4+HjfeeCMeeughnHHGGXj11VdpIvk4eAN5WqIOSfrwDcALxLVnFEGrFrCnrht76oYmPj12F378yh443QwXz8jBVfMLRr0fnUaFc6eIh59+MmjEAfEN34GXkSTvc4j3QdEsqKF4RS5Oq0JyfHT9zYZChTdxqGnvDWj512pzSkdbKZpAeY9JkXsJj/dvyVU906pVKPC2d1AfVHTwO4FqbGzEo48+ioqKClx77bU4/fTTcejQIaSmpioR34QhLd9FUf8Tl2nQ4/I5+QCARzYckcrLbg/Dz9/Yj5r2XuQZ4/Cbb84at5R9nvf0+I+OtCob9ASk1CYEmgU1shbzwPJdNMxtC7U8o7jDzelmAfXtHGkWE5BcYxyMCcrtLuSjDDp7HeiS8VBh6QgaGRvTB47IoYJENPA5gfr3v/+N5cuXo6KiAjt37sTvf/971NfX47e//S2mTp2qZIwTQkNX9PU/DfaTCycjXqvGVye78PB/D6Ouow93vbYXGw40Q6sW8Ifr5iIlYfydQkunZEIlACfaemnnl59OynQG3qlyvRPNm6kCNUS4RxhEOkEQpGW84wEs4x1qMgMAZuQFtoPPVwk6jfQh4YRMfVCDq2dyHkHDP2DzDUcksvlcl7722mtRVFSEu+66C9nZ2aitrcWf/vSnYbejo1xGFo0jDAbLS4nHr66YiXte34d1X9Ri3Re1AMQRBY9ffRpOL0nz6X6S47SYkWfEgUYzdtR04hun5SsY9cQyeJK9nKgCNbJWSqDGVZ6VhP0NZlS19uDimf797KEmcQPS9Dzlj3ialJWEJrMNJ9p6sMDH16qxVHkb57MMeqTKOGKCvz/QwOHo4NdZeIIg4F//+teot6Gz8EY3sIQXnQkUAFw1vwBatYDH3j+KJrMNswuM+OUl03FGqX8vSGeUplECFQC5p5BzA7OgKIEarJXPgKIRBqOSRhkEUNnhCZTSFShATPS2VLWjqlWeCtQxhcYv8PeHOkqgogKdhRci9V1iuVfu6kGofeO0fFw+Jw8uDwv4dPrTS9Lwwuc12FlLc8P8oVQFis+CoiXVoWgJb3wV3iW8Y34mJnaXG1XeJuxQJVBAYIneSPgZeHIu3wFAYRpfwqO/xWhAZ+GFyNnlGTi7PEM6hDOaCYIQcPIEAKeXiBsOjrX2SNvEydicbo/UcyHXDCiOV6DaexywuwI/12yiMUkJlPxHjEwUvAJz3GSFw+X7Tryq1h64vEe45Kcov7GmPDP4mVWDDZ6gLif+4ajNag/qjEESGj6/C37961+H2WyWvn/kkUfQ3d0tfd/R0YHp06fLGtxEsvryGfjHLQvplG0A6Ul6abvuoUbzOLcmANDcbYPbw6DXqJCZJO8bemqCFjqN+FJgstD8GY6GaI6vIDUexngtnG4mJRW+GNxAHoodjnzkQkNXP/ocrqDvj1fc5B4AaozXwuAdUdJAjeQRz+cE6oMPPhgyLPOxxx4bcnSLy+VCZWWlvNGRCWtWvtg4eoASKJ+c7BTnwhSmJUClkvcNRxAEqcpC08hFjDGpB4qW8EYnCAKm54pLcIebfD+VIpT9T4A4f4+fJxjsQM3OXgfavIMuK2Q+nFgQBBRIjeS0jBfpfE6gTh0tT6PmSTBmUgLllzqFRhhwvMrSShUoAEB3n1NaksqiJbwx8SSIV5V8wf/uZ4RgBx4n1zIer7QVpsUjUYGhyDTKIHpQDxQJC16BOkgJlE+UPkcxy5tAtVAFCgDQahV/D6kJWug16jBHE9lm5PMEyrcKlN3lxqFG8bZzi1KUCmuY8uzgj54BBg/QVGZ6Oo0yiB4+J1CCIAxbq6bpvCRQPIGq7eijRnIf8BEGcjeQcwMVKEqggIEp5LR8Nz5eRTrSbIHHM/7KxOEmCxxuD9ISdSHdlSxXBeqoQiMMOKkCRUt4Ec/n+iNjDDfddBP0erGcbbPZcOuttyIxUZxJQ4cJE3+kJuqQa4xDs9mGqlarLMPtJjKlRhhwPIFqoVlQAAaa6SmBGl9ZRiL0GhV6HW7UdPRiUubYfUG767oBAPOKUkL6IXxganpwCVRli1g9m5qrTP+WVIGiJbyI53MCdeONNw55sn/nO98Z8TaE+Koi24Bmsw3HWuWZDjxRMcYUr0BlG2kJbzDagec7jVqFGXnJ2F3XjX313eMmUPxA8rlFoT0/lSdQtR19cLg80s5Tf3g8TNqBN1WpChQt4UUNnxOol156ScEwSCyanJWEzcfa/Nr+HIu6+5yw2sWt10qNwaAlvKFaaQaUXxaUpGF3XTd21nbhynkFY952j7cCFcr+J0A8tDhRp0avw42THb3SaAN/NHb3o8fuglYtoDRD3hMBOD7ixWJzwdzvhDFeuYOWSXB8TsHVajVMJpOSsZAYw6f4BtvUOdHxQ4Szk/WI0yrT0Dw4gaIdtoMSKDrGxSfzi8Vq0q6TY58u0NDVh8bufqhVAmYXpIQgsgFDDz8ObBmP9z9NykwKapjwWBJ0GmQkiSMXqAoV2QIeY0BIsCr4rhiZzqeaqAZGGCjziRcY2Kpvc3pg6Q9+0GC0k2ZAGSiB8sWC4oHTBbr7HKPebuvxDgDAnAIjkhQYATCeSVl8J15grzlS/5NCy3ccrzTTMM3IRmMMSNjwErrJaoe5j3bijaZe4REGABCnVSMlQVwqoD6oQT1QVIHySXqSHmWZYoK/62TXqLf7/Hg7AOCs8oyQxHUqfvhxoG0DAzvwlB0AWkjDNKOCXx8BPvjgAxiNYw8+u/zyy4MKiMSOJL0G+SnxaOzuxzGTFadTI/mITnaIk5OVaiDncpLj0N3nRIvFptgW7WjgcnvQ3iNWoGiIpu/OKElDdVsvPj/ejvOnZQ+7njGGrSfECtTiSeFJoKbmis/rI82+T00fjM+AUroCRcM0o4NfCdSKFSvGvF4QBLjddAAi8V15VhIau/tR1dpDCdQolB5hwGUnx+FoixWtMT7KoL3HAcYAtUpARiIlUL5aNiUTr+6sx6ajJjx42Yxh1x9qsqC9x444rQrzilNCHyCAGd7RAzXtveh3uBGv872n0O5yo7pd/DDDEzGl0E686ODXEl5LSws8Hs+oX5Q8EX/xnSy8ykKG4yMMlFzCAwbNgorxJTz+788y6GU/d3AiO7siE1q1gNqOPlS3De8x+t/BFgDAsslZYZvunmnQIz1RBw8DKv1cxjtu6oHbw5Acp1F8vEVhKp8FRUt4kcyvSeSEyI0nUDXtlECNxO5yo9n7hq70Eh7fcRbrowwGRhhQ/5M/kvQanFEqVpE/OtI65DrGGN4/2AwAWD4rJ+SxcYIgYLr37D5/l/H48TMz8oyKvx8WpolLeA1dfbSBK4LRLjwSVjwpONlBpeqRNHT1gzEgQadGuvc0eaXwmUeUQNEMqEAtn5kLAHhjV8OQ94x9DWacaOuFTqPCeVOzwhUeAGC6dxnvsI9n93H8AORZBcofgJyXEg+VIO6KbeuhUz4ilc8J1IoVKxAfH69kLCQGSUt4nb0+naMVawb3Pyn9qZeW8EStNIU8YJefloc4rQrHWnukI1sA4OVttQCAS2fnwhAX3sGQ03IDq0DxBGpmvvIJlFatQq6Rn4lHHy4jlc8J1Lp162AwxO7OHKKM/JR4aFQCbE4PWq2x/cY9Et7/FIpDV7Ol8/Bi+xMv//dnUQLlt+Q4LS6dnQcAePKjYwCAE209+M/eJgDADYuKwxYbN3gJz9cPbU63B4e9CdesECRQwMAyHo0yiFwTcg7UM888g9LSUsTFxWH+/PnYsmVLuEMio9CoVVJzdG07fdI6Vah24AEDM486eu1wuj2KP16kMlmpAhWMO86vgFYtYEtVO9a8fwR3vLoHbg/DBdOyQn7+3UjKMhKh8x5+XOdjdaeqtQcOlwcGvQbFIfhbBAY1klMFKmJNuATqtddew5133on7778fe/bswZIlS7B8+XLU1dWFOzQyCt4HVUs78YbhvWFFCjeQA0Bagg5atQDGgDZr7FahWszURB6MwrQE/OTCKQCAv3xWjYONFqQmaLH68uGjDcJBo1ZJc5z2e5flxnPQe7sZ+ckh25kpjTKgWVARa8IlUI8//ji+973v4ZZbbsG0adPw5JNPorCwEM8++2y4QyOjKEkX+6AogRqO/06UOrh0MJVKQJaB+qCkHigjNZEH6ofnlOHhb8zA9NxknDc1C//+4ZmKHYQdiLmFKQCAPXWjT00fbH9jN4DQLd8BA1VnWsKLXLImUG+88Yacd+c3h8OBXbt24cILLxxy+YUXXoitW7eO+DN2ux0Wi2XIFwmtEl6BolEGQ7g9TJqPFYoEChi0Ey9Gh2n2O9yw2MSzAKkHKnCCIODGM0vw3h1L8OJNp0vHNkWKed6z+wY3uo9l10nxdqFcguQVKF+XGUno+ZVAuVwuHDp0CMeOHRty+X/+8x/MmTMH119/vazB+au9vR1utxvZ2UOPEcjOzkZLS8uIP7NmzRoYjUbpq7CwMBShkkGKpWGa9EIxWGNXP5xuBp1GhTxjaHbA8j6oWK1A8epTgk4NQxgOuyWhMbdQTIQON5lhc449ANpic+Ko9xBhfmhyKPAKVJO5Hw5X7PYkRjKfE6jDhw9j8uTJmD17NqZNm4Yrr7wSra2tWLp0KVasWIGvfe1rOH78uJKx+uzU7d6MsVG3gN93330wm83SV319fShCJIPwZsnGrn6aNzZIdbs4zbk0PTFkfRfZMT7KoGXQEE0aHjxxFabFIyNJB6eb4VDT2H1Qu092gTGxVzOUVcmMJB3itWowBjR20zJeJPI5gbr33ntRWlqK//znP7j66qvx9ttvY8mSJTj//PNRX1+PtWvXhr16k5GRAbVaPazaZDKZhlWlOL1ej+Tk5CFfJLTyU8TqitXugqXfFeZoIgefzh6q5TtgYOdZrC7h0RDN2CAIgrQct9u7PDear2rFPqkFxaE9q1MQBKkKRct4kcnnBGrHjh343e9+h0svvVRqyP7pT3+KBx54IGLmQ+l0OsyfPx8bN24ccvnGjRuxePHiMEVFxhOvUyMjSZyyTTtOBkgJVGYIEyjpOJfY3IVHx7jEDr4c92VNx5i321HbCQA4vST0IxioDyqy+ZxAmUwm5OfnAwBSUlKQkJCApUuXKhZYoO6++248//zzePHFF3HkyBHcddddqKurw6233hru0MgY8vkyHpWqJeGoQPFdeLF6nEuzme/AowRqoju7IgMAsO1Ex6g9Rj12F3afFCtQi8rSQxYbx0e8hHIWVI/dhQ37m7HtRAe1VIzD5y5JQRCgUg3kWyqVClpteEfyj+Saa65BR0cHHn74YTQ3N2PmzJl47733UFwc/gm4ZHQFqfHYV9+NBjp9XFLdJiZQZaFcwhvURD5W7+BE1dwtJlChaton4TMtJxnpiTp09Dqwp64LC0dIkL443g6Xh6EkPQElIfw75KQlvBBtsKlsseKGF76EyTsH7qIZ2Xj62/OgVU+4iUey8Osw4cmTJyMtLQ1paWno6enB3Llzpe/5VyS4/fbbUVtbC7vdjl27duGcc84Jd0hkHAWpA6ePE8DmdKPJLCaT4eiB6nO4YbXHXj9as/d3ThWoiU+lEqQq1Jaq9hFv89mxNgDA0smZIYtrMJ5AnQxBBarP4cItL++EyWpHpkEPnVqFDw614qmPqxR/7GjlcwVq3bp1SsZBYlxBCk+gqAIFiCMdGAOS4zRIS9SF7HHjdWokx2lgsbnQarYhOcwHv4YaX8KjClRsOKciE//Z24QPDrXgJxdOHlJxdXsYPjrcCgBYOiU8CZQ0jbyzT/GK8NOfHEd9Zz/yU+KxYdXZ+Px4O1b+aw/+srka1y8spg8VI/A5gVqxYoWScZAYx6cUUwIlquEjDDKTQr6MlmOMg8XWgxaLLeIGICrJ4fKgrUdcushNoTeLWHDB9Gzo1CpUmXpwtMWKabkDu7C/rO6AyWqHMV6Ls8vDk0DxynyP3YWuPqdiH6bM/U68vO0kAOCBy6YjJUGHS2bl4m8ltdhZ24UXv6jBL74+TZHHjmZ+L2z29/fjnXfewdq1a/H73/8e7777Lvr76U2PBIeW8IY64e1/Kg3BGXinkmZBxdgog1aLDYwBOrUK6SGs+pHwMcZrce5UMTl6e2/jkOvW7xa///qsHOg04ekBitOqpWV1JXfivbqjDj12FyZnJ+Fr08SRP4Ig4AfnTAIAvLm7IaYPGB+NX6N233nnHdxyyy1obx+6XpyRkYEXXngBl112mazBkdiR702grDYXzP1OGONja+noVMdarQAQlgqQNAsqxnbiDd6BF2vN87HsynkF+OBQK175sg4rzy2HIU4Lk8WGd/c1AQCumh/e+YZFaQlosdhQ19mH07xn+MmJMYZ/fyUOkP7e2aVDhvYum5KJjCQd2nsc2HysDedPG3meYqzyOa3eunUrrrrqKpxzzjn44osv0NnZic7OTnz++edYsmQJrrrqKmzbtk3JWMkElqDTSJ/6qQoFHGsVl/AmhyGByo3R41x4A3ku9XrElK9Ny8akzERYbC785bNqAMATHx2Dw+3B/OJUzA/h8S0jKVJ4lMGhJgtOtPVCr1Fh+azcIddp1Spc4r3soyOtijx+NPM5gfr1r3+Nm2++GW+88QbOPPNMpKSkICUlBYsXL8b69etx00034Ve/+pWSsZIJjlehGmO8D8rtYTjRxhOopJA/fo63gTrWlvCkBvIUaiCPJSqVgJ9cOAUA8Mynx/GDl7/CKzvEiszPL54aztAADNqJ16HMYetv7xGXKi+Ynj3iphFedfr4iInmQp3C5wRq27ZtWLly5ajX/+hHP6IKFAlKPu3EAyC+UDpcHsRpVdI5gaHEKzDNsZZAdVMFKlZ9fVYurjujCB4GfOjdeffj88pxRmn4R/MoeZwLYwz/OyQefXb5nLwRb7OwLA0JOjVMVjsONVlkjyGa+dwDZbPZxjwnzmg0wm6PzeMfiDxyvZWPWOu9ORVfvqvIMoTsEOHBYrWJvMn776UEKjY9+n8zcUZpKvbWdWNxeQYunB4Z/T4Dowzk/2B53NSDhq5+6DQqLPHOxDqVXqPGmWXp+PioCdurOzAz3yh7HNHK5wrU5MmT8cknn4x6/ccff4zy8nJZgiKxib9xNcXYG/epqqQG8tAv3wED/x06eh2wu9xhiSEcBnqgaAkvFgmCgP+bW4CHvjETF83IiZiNBLwC1WTuH/XImUBtqjQBEI+pSdCNXk853VuJ21HTKevjRzufE6ibbroJ99xzD957771h123YsAE/+9nPcPPNN8saHIktfPZOizm2l/COmcLXQA4AKQla6L3btk0xdKgwP8aFZkCRSJKRpEO8Vg3G5D8r9JOjYgJ13jiDQvlS5s7aTng81AfF+byEd8cdd2Dr1q249NJLMWXKFEybJg7VOnz4MKqqqnDFFVfgjjvuUCxQMvFFW+/NoSYz/rH9JBwuhm/Oy8fi8pFL4P461iJWoKaEKYESBAG5xjjUdvSh2WyTlhAmMpvTjY5eBwCaQk4iiyAIKEpLQGWrFXWdfbId7WSxOfFVrXhQ8rIpWWPedmaeEXFaFbr6nDje1hO2D3eRxucKlEqlwuuvv45XXnkFU6ZMwdGjR3H06FFMnToV//znP7F+/fohhw0T4q/BPVCR/iln01ETrvjTF3hlRz3W727At5//Es98ejzo+7U53QM78HLC9yKVIyWzsVEN5H13eo0KKQmxPYOMRJ5C6VBh+Xbi7azp9PmgZJ1GJc2g2lvXLVsM0c6vQZoAcM011+Caa65RIhYS4zINeqgEwOlmaO+1I8sQmUspJqsNq17ZA6ebYdmUTGQm6fH6rgb89n+VKElPxNdPmaXij8oWK1wehrREHfLC2MycE2ON5E3dAyMMIqX3hRCuxDsLqqZdvp14X3r7mRaVpft0+1n5Rmyv7sSBRjOuPj28w0Ujhd8JVGNjI9avX49jx45BEARMnjwZV155JfLz85WIj8QQrVqFTIMerRY7Wsy2iE2gHv/wGKx2F2YXGPHXGxZAp1EhLVGHv2yuxi/fPogzy9KRGuBRIAebzACAmfnGsL6R81lQ4VpOtTnd+LTSBLdHnIacqPf7pcovNESTRLKyTHFDSbX3jEw58ATK11ENfPfdgUazbDFEO79elZ555hncfffdcDgcMBqNYIzBYrHgpz/9KR5//HHcfvvtSsVJYkSuMR6tFjuaum2YXRDuaIYzWW1Yv7sBAPDgZdOlM7LuuWgKPq1sQ2WrFb/fWIlfXzEroPs/2CjOWZmZN/rIkFCQppGHIYGqbe/FTet2oLZD/LSdnxKPdTefrmjfRVM37cAjkYv3PVW3ybOE12t34aA3EfI1gZpdkAIAONxsgdPtgVZNLTs+/wY2bNiAVatWYeXKlWhsbERXVxe6u7vR2NiI22+/HXfccceIO/QI8cfAG3dk9t78e2c9nG6GeUUpmF888MKjVauw+vIZAIDXdtYHfBwNf1EL96yVnDAd59LvcOOWl79CbUcfMpL0yEmOQ2N3P25etxPmPqdij8tn7BSmUQJFIs+kTDGBaujqk2W0yO66Lrg9DPkp8SjwcVhvcVoCDHoNHC4Pqlrlq4RFM58TqN/+9re49957sXbtWuTmDvR45Obm4vHHH8fPf/5zPPbYY4oESWKH1LwcgcM0GWN4Y5dYfbp+YfGw68+clI7Fk9LhdDP8adMJv+/f4fKg0rsDb1aYE6hwVaCe/fQ4jpt6kGXQ4707zsb/7lyCkvQENHb343cfHlXscRu6xYQ3HJPfCRlPpkGPJL0GHgac7Ai+D+rLanH5bqEfk9ZVKgEz8sXK+EFaxgPgRwK1Z88e3HDDDaNef8MNN2D37t2yBEViF99CzmfyRJIqUw9qO/qg06hw0cycEW9z19cmAwDW72qAyerfv+FoiwUOtwfGeC0KUsNbCeFN5CarDS63vMP7RtPZ68ALn9cAAFZfPgNZhjikJOiw5srZAIB/fVmHOhnePEbCjw8K9++dkJEIgoCyTL6MF3z1Z4ef/U/cjDzxg93hZjrSBfAjgfJ4PNBqR9/eq9Vq6aBBErScMPbejOeDg+KZUWeXZyBplKbm00vSMK8oBQ63B//cXufX/e/0zmSZX5wa9p1g6Ul6aFQCPAxo6wnNMM1Xd9ah1+HGjLxkLB+UoJ45KR1LJ2fCw4C/bPa/sjcet4dJPVCxMPOKRKcybx/UiSD7oGxON/bWdwMAFvq4A4/js+mqTNagYpgofE6gZsyYgf/85z+jXv/2229jxowZsgRFYldeCl/Ci7weqI+OiIeMXjRj7DOyvnt2KQDgn1+ehM3pe7/CV7Xip8IFJakBRigftUqQzsQLxU48j4fhtZ31AICbFpcMSyBvXToJALB+dwOsNnl7oVotNjjdDJpB/2ZCIo20Ey/IBGpffTccbg8yDXppPIKv+Gy6Y9QDBcCPBOr222/H/fffj2eeeQYul0u63OVy4U9/+hN++ctf4rbbblMkSBI7+Pb5FnNkDdO02JzS9t2lk8ee2nvxjBzkGePQ3uPAu/uafLp/xphUgTq9JPwnwAMD1cDWECRQ22s6cLKjDwa9BpfMHj5Ha1FZGsoyE2FzerBhf7Osj82X7/JS4qEOw+HNhPhCWsILcpTB4PEF/la6K7LEJK7NakeXd3J/LPM5gVqxYgVuv/12rFy5Eunp6Zg3bx7mzZuH9PR0rFq1Cj/84Q9x0003KRgqiQVZBj0E7zDNjgj6A/2qthMeJg60yxlnVpBGrcKNi0sAAC9+UevT0nZtRx/ae+zQqVVhbyDnckJ4tM57B8Sk6JLZuSMeaioIAr41Xxze97q3kV8u9Z3eBnLagUciWFnGQAUqmHYZ3v+0yM/+JwBI1GuQnyL+nRxrpWU8vwY5rF27Flu3bsVNN92EnJwc5OTk4Oabb8YXX3yBJ554QqkYSQzRqlXIMugBRFYf1PZq/6b2Xnt6IeK1ahxptmDbiY5xb/95VRsA4LSiFMRp1YEHKiNpGrnCOyI9HoaNh73Lo6M05wPAlfPyIQjArpNdsh6qKjWQp1D/E4lcfBaUud+JzgA/XDrdHuw6KVa6zyj1r/+JmyIt41EC5fd430WLFmHRokVKxEIIAHEZr9ViR5O5H7MKIqMas71aTIIWlvn2qS0lQYdvLSjAy9tO4rkt1eMeNPxppZhALRvnVPRQCtXhzvsbzWi12JGoU2PxpNFf1LOT47CgOBU7a7vw4aEW3HxWqSyPz2d2UQWKRLJ4nRr5KfFo7O5HdXsv0pP0ft/HwUYz+p1upCRopeU4f1VkJ+GToybqg4KfFSgAqKqqwtq1a7Fy5Ur8+Mc/xhNPPIHq6molYiMxKidZfGEwRcgsqH6HG4eaxG27/nxq++5ZpRAEYFNlG46PsWvF5nTjixPtAIBl4/RXhVJOiIaafnhI3N24bGoW9Jqxq28XzRArVB94f0YO9d4EyteBgoSES7k36eHz4vzF+59OL0mDKsB+P74TjypQfiZQa9aswfTp0/Hzn/8c69evx+uvv4577rkHU6dOxdq1a5WKkcQYvhOq1RKa7fPjOdxshtvDkGnQS+v/vijJSMSF08Ude89vqRn1dp9XtcPm9CA7WY9pucodV+Kv3BBNI99SJSaP508dP3nkCdSOms6AlzFORTOgSLSY6n19ONoS2Bwm3v/kzwDNU1VkiTEcN1EFyucEatOmTfjlL3+J+++/H+3t7WhubkZLSwva2tpw77334t5778XmzZuVjJXEiIEEKjIqUPsbxN13swNo7v7+kjIAwJt7GtFmHTkhfHtvIwDgkll5YZ//NJj038FsV2xHZHefQzpA+axxljkBcU7T9NxkeBjwaaUp6Md3uj3SEiXNgCKRbqq3/yiQCpTbw7CzlidQgfU/AUCpdzdgR68D5n7ljleKBj4nUH/+859xyy23YPXq1UhNHZhTk5aWhocffhjf/e538eyzzyoSJIktvIm8dZSEI9T4+IJA+rHmF6eKgzVdHvzxk6ph15v7ndJ8qSvm5gUXqMyyDHEQBMDh9qCzT5kdkdurO8GYuDTh6wwm3ie2+Vhb0I/f0NUPt4chXquWnneERKqpOeJRKkdbrH7vxDvSbIHV5kKSXoPpQRxWnqTXSH8rte3yHG4crXxOoHbs2DHuUS7bt2+XJSgS2/gbaaT0QB3gFagAEihBEPDTi6YCAP75Zd2wsvc/tp+EzenB1BxDxIwv4HQaFTKSlN0RudXb+zVW8/ipzpksJlBbqtqDrozVeGfqFKcnRFT1j5CRTMpMgkYlwGpzocnPv0ne/7SgJDXoeWcl3h2BNZRA+aa1tRUlJSWjXl9aWoqWFvkaO0nsiqQlvF67C8e9Z0/NDDDBOXNSOi6YlgW3h+Fnb+yTzpbr7HXg+S3iBowfnFMWkW/gvA+qScaxAYNt9Y54WDxp/OU7bl5RKhJ1anT0OoI+k6umXWwg51vECYlkOo0Kk7wTyY/6+dzfUePdSRzE8h1XRgkUAD8SKJvNBp1ON+r1Wq0WDkfkDD4k0Svbuwuvq88Ju8v3o1CUcKjJAsbEmUhZhsCP+XjwshkwxGmwu64bP1u/H60WG37y773o6nNiSrYBl82JrOU7jjfNyzl3iTNZbDhu6oEgiJPGfaXTqHCmt2L1WZDLeHwJghIoEi34HKajfvRBeTws4AOER1JKCRQAP+dAPf/880hKGnl2hNVKWxqJPIzxWug0KjhcHpgs9rA291Z6d7sE0zMAiA3Ka781B7f/czfe3N2IN3eLjeN6jQq/vWo2tGq/J4qEhJRAdcmfQPGBflNzkpGSMPqHs5GcMzkTHx0xYfOxNvzo3PKAY6jtEN8ASiiBIlFiaq4B7+wTe5p8dbytB119TsRr1QG1IpyKEiiRzwlUUVERnnvuuXFvQ0iwBEFAdrIe9Z39MFltYU2g+LC4ydnBjxe4aEYOnl+xAA/+5xDqOvtQkp6ANVfOxpzClKDvWyl8a3+DAgkUPxH+tAD+/edUiH1Qu052occuNsYGgh/MShUoEi1m5IkJEN/c4osvvYOA5xenyvJhjZ/LV9MuHisTie0HoeDzq05tba2CYRAyVE5yHOo7+9FiDu9OvErvsLgpOYFN7T3VuVOysOynmdKbfqS/8OR7h0sqsYS3x5tAzQ0ggSrJSERRWgLqOvvwZXUHzp+W7fd92JxuNHmHhJakUwJFosNpBSkAgJMdfejsdSAtcfzq7XYZl+8AsaKuEoAeuwttPfag2huimc+p6HnnnYfu7m4FQyFkQFYENJIzxlDlTaD48Dg5CIIAQ5w24pMnQLkeKJfbI+1uPK0oJaD7OLtCbDzngzj9Vd/ZB8bEbdkZSf4tIRISLsYErdTEvc/7IWQsHg+TzuP09SzP8eg1auR7q9O13o0YscjnBOrTTz+lJnESMtneTzSt1vAlUO09DnT1OaESBo5QiDX8RbKz14E+h0u2+z3W2oN+pxtJeo20q8hf50gJVGCN5NXtvP+JRhiQ6MKXvff6kEAdbDKjs9eBJL0GcwP8sDKS0gzx75aPAolFkdm5SmJetnQeXviW8PhZT8XpiYjTjn1G20RljNfCECeu9MvZSM5f+GcXGAOeSXPmpAyoBOBEW29AYxb4TC45q4uEhAKv2vqSQPEK7ZmT0mXdrFKaLi7v11AFyjdWqxUWi2XML0LkEAmzoI5Jy3exWX3i+DJeg4zLeHvrxR14gTSQc8Z4rdSA/3kAy3j8OIyK7Nj+70uizxxvH9Te+u5xh8nyUR98AK1cirx9g/WdlED5ZPLkyUhNTR3xKyUlZcgRL4QEI8tbgYqEBIrPXYlVBd5Gcjl34gWzA2+wJd7z8zYHsIwn/feVYYclIaE0PS8ZSXoNzP1OHGoavXBhtTmx2zsuZGmFzAmUd3d0XQwnUH7t/X3jjTeQliZPFz8hYxk4ziV8S3hV3hEGFTH+BstHGci1hGe1OVHlXT4LtIGcWzI5E099chxbT3TA42FQ+bgc6HR7pBEGcoyoICSUtGoVFpWl4aMjJmw53jbqOZ2bKtvg8jCUZSSiKF3ecTCUQPmZQJ111lnIyspSKhZCJDyBstpd6LW7kBjgnJ9g8CbjSZmxvcVdWsLrkueF8kCDGYyJ9xvs9ufTClOQpNeg03usi6/H7Zzs6IXD7UGiTi39+wiJJmeXZ+CjIyZ8cbwdty8beZjs+weaAQDLZ+XI/viFaeLfjbnfCXOfE8YEreyPEemoiZxEpCS9Bok6sXHbZA19Fcrc50Rnr7jrNNZnBEkVKJl6oPbItHwH8E/i4tZsf5bxKlvEClh5tsHnqhUhkYSP8dhZ24Ve+/Adsn0OFzZVmgAAy2fmyv74CTqNdNh4vUwfrqKNzwlUcXEx1OrY3IlEwiOcjeQ13iM+spP1Yal+RZJ8mZfw5Op/4pZ430j8aSTnA1Inx/gGARK9JmUmoTg9AQ6XBx8fNQ27/sNDrbA5PShMi8eMII+iGk2RtwoVq8t4PidQNTU1SE+XZwgXIb4IZyM5P2Q21qtPwMASnslqh80Z3OHOjDEpgZJrJg1PoL6q7UK/w7f4DjSIMfi65EdIpBEEAZfNFg8hf2dv07Dr//VlHQDgqnmFis05i/U+KJ8TqNLSUpSVlQ37mjt3Lq699lp89dVXSsZJYlA4G8n5IZl0RhqQlqhDvHcOVrDLeE1mG9qsdmhUgmzJS2lGIvJT4uFwe/BlTce4t2eMYb93CrocB6sSEi6XzRETqM+OmdBiHvigebjJgh21nVCrBFxzeqFijx/rCZTPaxN33nnniJd3d3dj586dOPPMM/Hhhx/i3HPPlSs2EuPCuoRHCZREEAQUpyfgaIsVdR19AU8OB4C9dd0AxBPl5RpOKggCllRk4NWd9dhS1Y5lU8be6NJktqGj1wGNSsC0XGWWNggJhSk5BpxRmoYdNZ14bks1/t+l0wEAj2+sBAAsn5mDHKNy59Txg95jdRaUzwnUHXfcMeb1v/rVr7B69WpKoIhssgzeJbwwNJHXdvBjPiiBAsSlzKMtVun3Eig5BmiO5GxvAuVLH9R+7xLilBz5kjhCwuX2ZZOwo6YTf9tai8vm5OG4qQcfHTFBJQB3XjBZ0ceO9QqUbLvwrrrqKhw6dEiuuwtISUkJBEEY8nXvvfeGNSYSuHBVoBhjVIE6BU8keW9YoAYayOUdunvWpAwIgtgcPt7zZZ+0fJciawyEhMPSyZm4eEYOXB6GK/70Be55fR8AYOV5FYqf4clnSzV29cPl9ij6WJFowo0xePjhh9Hc3Cx9/fKXvwx3SCRA4UqgOnodsNpcEISBT1ixrsT7QlnbEfgnTafbgwONYvIidwUqNVGHWd6eqi3jVKF2ePuk5DxYlZBwEQQBv/3WbGkzBQCsOLMYd5xfofhjZxvioFOr4PIwNJvDd2pEuMi2P/uNN97AzJkz5bq7gBkMBuTkyD80jIRe9qBdeIwxxXaSnIpXWfKM8bTE4yVVoIJYwqtsscLm9MAQp0GZApW9cyoysb/BjI8Ot+Kq+QUj3qbX7pIayM8so13FZGJIjtPi5e+egZr2XiToNIr2PQ2mUgkoSItHdVsv6jv7pJ6oWOFzAvXUU0+NeLnZbMbOnTvx/vvv44MPPpAtsEA99thj+NWvfoXCwkJ861vfwk9/+lPodLpRb2+322G3D/TY0IHIkYNPqbY5PbDYXDDGh2bSLS3fDcfHOTR09cPp9gR0qvvg+U9KDK/8+qxcPL3pOD6pNMFqc8IQN/z5srO2Ey4PQ0FqfMy92JOJTRAElAWxwSNQRWkJqG7rRV1nHxaH/NHDy+cE6oknnhjx8uTkZEydOhWff/45Fi5cKFtggbjjjjswb948pKamYseOHbjvvvtQU1OD559/ftSfWbNmDR566KEQRkl8Fa9TIzlOA4vNhVaLLeQJVEkGvcFyWQY94rQq2JweNHT1B5Rcyj1A81TTcg2YlJmIE229+OhIK/5v7vAq1BfHxeU9qj4RIo9YbiT3OYGqqalRMo5RrV69etwEZ+fOnViwYAHuuusu6bLZs2cjNTUVV111FR577LFRh4Ded999uPvuu6XvLRYLCguVm5tB/JOdHAeLrQcmiz1kh76e9Pb50BDNASqVMGQnXiQmUIIg4NLZefjDx1V4Z2/TsASKMYYPDrUCAM6bSmd6EiKHwlQxgTpJCZTv2tvbIQiC4tPJV65ciWuvvXbM25SUlIx4+aJFiwAAx48fHzVOvV4PvV4fVIxEOTnGOFSZekLaSM7PdaIG8qH4LKja9l5gin8/a+534rhJPH9ujkIJFAB84zQxgfrsWNuwnoyjLVbUdfZBr1Fh6ZRMxWIgJJbwv7EGSqDG1t3djfvvvx+vvfYaurrEeS6pqam49tpr8etf/xopKSmyB5iRkYGMjIzxbziCPXv2AAByc+U/SJGEBu+DagllAuV9IaAemaF4I/nJAHbi7fcenVKUliAdQKqEsswkLKnIwJaqdry8rRb3XzJduu7fX9UDELd9J+hi+3xDQuRS6D0Pr16mszKjic+vIp2dnTjzzDPR2NiI66+/HtOmTQNjDEeOHMFLL72Ejz/+GFu3bkVqqrzzXXy1bds2bN++Heeeey6MRiN27tyJu+66C5dffjmKiorCEhMJHt+JZwpRAtVjd6GrzwkAKPAeoktEpd4lzRNtPX7/7B7vBPJQjA64+awSbKlqx7++rMP3l5QhKzkOVpsTb+xqAABct5BeDwiRC/+g2dnrQI/dhaQYOnzd53/pww8/DJ1OhxMnTiA7O3vYdRdeeCEefvjhUZvNlabX6/Haa6/hoYcegt1uR3FxMb7//e/jZz/7WVjiIfIYmAUVmmnkDd7lu5QE7Yi7uGJZhbcH7Vir1e+f3VMnVqznKrh8xy2bnIXTClOwt74bq989hD99ex6e/KgKVpsLkzITsbSClu8IkUtynBYpCVp09zlR39kXU8cj+bwX+e2338batWuHJU8AkJOTg9/+9rd46623ZA3OH/PmzcP27dvR3d2N/v5+HD16FKtXr0ZCAi3DRDMpgbKGpgJV3ymWoXljJBkwOVvcIt1qscPsrdL5gjGGPd4G8rlFyleoVSoBD10+AxqVgPcOtODiJ7fghc/FTTD3XzJNkREKhMSyohg9E8/nBKq5uRkzZswY9fqZM2eipaVFlqAI4aRhmiGacjvQ/0TLd6cyxGmR5x3Qd8zkexWqtqMP3X1O6DSqkH06nVOYgt98czY0KgGV3orZqvPKcd7U4R8ACSHB4R84Y22Ugc9LeBkZGaitrUVBwcgTfmtqahTfkUdiD69Amax2eDxM8eoB34FHFaiRTc4xoMlsw7FWK04vSfPpZ/jy3ax8I3Sa0J0eddX8AswtSsH26g5My03GvBBUvwiJRQXeD5wNMdZI7vOr2cUXX4z7778fDodj2HV2ux3/7//9P1x88cWyBkdIpkEPQQBcHobOvuHPPbnxJTxqIB8Zn8V1rMX3CpTUQB6C/qdTTcpMwvULiyl5IkRBsbqE53MF6qGHHsKCBQtQUVGBH/3oR5g6dSoA4PDhw3jmmWdgt9vx97//XbFASWzSqlVIT9SjvceOVotN0S3wwEATeQGNMBiRlEC1+r4Tb0+9t4GckhhCJiRawhtHQUEBtm3bhttvvx333XcfGGMAxOm/X/va1/D000/TBG+iiOzkgQRqRp5RscdhjEklaFrCGxlvJD/WavXpgGeLzYnDTeL5kvOLKYEiZCKSKlBdfSE9+D3c/BrYUFpaivfffx9dXV2oqqoCAJSXlyMtzbdeCEICkZ0ch0NNFsVHGXT3OdFjdwGgJbzRVGQZoFYJ6Oh1oMViQ65x7N/TV7Wd8DCgJD0hZCfEE0JCKy8lHoIgHvze1mOXBiBPdAF1dKampuKMM87AGWecQckTUZy0E0/hYZq8gVw8OFet6GNFq3idWlrG21dvHvf2X1Z3AgAWltIGE0ImKp1GhVzvhh/eRxoLQrclhpAADQzTVDiBogZyn8wpEJdR93mPZxnL9uoOAMDCMvqgRchEVhiDjeSUQJGIF6pp5NIIA2ogHxM/DHj/OAlUj92Fg97+p4VlVIEiZCKjBIqQCBSqJbwGmgHlk9neCtT+BjM8Hjbq7XbUdMDtYShIjUd+ClX1CJnIBjeSxwpKoEjE4w2Jileg+DEuNIV8TJOzDYjTqmC1uXB8jIOFNx1tAwCcM5nOniNkouOvm7E0yoASKBLx+O6tjl47nG6PYo9DU8h9o1WrsKBY7Gnaerx9xNswxrCp0gQAOG9KVshiI4SEx8AwTWoiJyRipCXooFEJYAxosypThfJ4BmZAFVACNa7F5WJP0+fHO0a8/ripBw1d/dBpVNJtCSETF//g2WzuV/SDbiShBIpEPJVKQJZB2T6oth47HC4PVAKQmxIbM0yCcXZ5BgDgy+oOuEZ4sfzgkHiw+Jll6UjQ+TVujhAShTINeug1KngY0NQdG1UoSqBIVMhSeCcebyDPNcZDq6Y/i/HMyDMiJUELq92FHTWdQ65jjOGtPY0AgEtn54YjPEJIiAmCMGgnHiVQhESMHIVnQVEDuX/UKgEXz8gBALy7v2nIdQcbLTjR1gu9RoWLZ+aEIzxCSBgUpsZWIzklUCQqKD3KgM8uoQZy3102Jw8A8N6BFvQ73NLl67bWAAAumpEDQ5w2LLERQkIv1kYZUAJFooLSS3j8D54ayH23qCwdBanxMPc78drOOgDAyY5evLNXrEjdsqQ0nOERQkKML+FRBYqQCMKnkZustIQXKdQqAT9cOgkA8IePq1DT3oufr98Pl4dhSUUGZhekhDdAQkhI8QSqgRIoQiIH74FqMSuTQDV00zEugbhmQSFm5CWjq8+Jc9d+iu3VnUjQqfHQ5TPCHRohJMR4CwRVoAiJIEr2QLncHjR1i/dLPVD+0WlU+MsN8zEzPxkAkJGkx3M3LkBZZlKYIyOEhBqv4Hf1OdFjd4U5GuXRgBYSFXgPlMXmQr/DjXidWrb7bjbb4PYw6NQqad4U8V1BagLeXXk2Wi12pCfpaAwEITHKEKdFaoIWXX1O1Hf2YVpucrhDUhS90pGokBynQZxWfLrKXYXiE8jzU+OhUgmy3nesEAQBOcY4Sp4IiXGx1EhOr3YkKgiCoNgsqIEdeNRATgghwRgYpkkJFCERQxplIPN5eHQGHiGEyIP3kVICRUgEkUYZyL6ERxUoQgiRA28kr++a+Me5UAJFoka2t8Fb7lEGDdIMKKpAEUJIMIpoCY+QyJNjVGoJjypQhBAiB2kJr6sPjLEwR6MsSqBI1MhSoInc4fKg2UIzoAghRA55KfFQCYDN6UFbjzJHb0UKSqBI1OBLeHL2QDWb+8EYEKdVISNJJ9v9EkJILNJpVMg1evugJvgyHiVQJGrwJvIWi0220jA/A68gNQGCQDOgCCEkWFIjeefEbiSnBIpEDZ5A2ZweWPrlOSaA+p8IIUResXImHiVQJGrE69RISdACAJot8nyyGZgBRQkUIYTIIVaGaVICRaJKnndtvblbnj4oPoWcGsgJIUQe0iiDLkqgCIkYeSniMl5jt9wVKEqgCCFEDtQDRUgEyksR/zCbZEqgeImZ/8ETQggJDl/Cazb3w+HyhDka5VACRaKKnAmUzemGyTuUkypQhBAij8wkPeK0KniYfKsFkYgSKBJVpARKhuNc+B92gk6NVG9zOiGEkOAIgoDSjCQAQHVbT5ijUQ4lUCSq5HmPc5GjAsX7nwppBhQhhMhqUmYiAOAEJVCERAZegWox2+D2BDdMk2ZAEUKIMiZlihWoE6beMEeiHEqgSFTJMuihVglweRjagjxUmO8Q4Q2PhBBC5DEpy5tAUQWKkMigUauQ451I3mQObhmPKlCEEKIMWsIjJALxWVDB9kHV0xRyQghRRJm3ibyrz4nOXkeYo1EGJVAk6vCTvoNNoOo6xLV5WsIjhBB5xevUyPf2rE7UKhQlUCTqDMyCCnyUgbnfia4+JwCgOD1RlrgIIYQMKOPLeCZKoAiJCPkyLOHVdYj9TxlJOiTpNbLERQghZADfiVfdPjF34lECRaLOwDDNwBOok53iHzRVnwghRBnSTjyqQIXXI488gsWLFyMhIQEpKSkj3qaurg6XXXYZEhMTkZGRgVWrVsHhmJjNa7FMjiW8k94KVDH1PxFCiCIqvAnU0RZrmCNRRtQkUA6HA9/61rdw2223jXi92+3GJZdcgt7eXnz++ed49dVXsX79evzkJz8JcaREaTyB6ux1oM/hCug+TnZQBYoQQpQ0LScZgHhslrnfGeZo5Bc1zR8PPfQQAOCll14a8foPP/wQhw8fRn19PfLy8gAAv//973HTTTfhkUceQXJycqhCJQozxmthjNfC3O9EfWc/puQY/L6PWl6BSqcKFCGEKMGYoEV+Sjwau/txtNmChWXp4Q5JVlFTgRrPtm3bMHPmTCl5AoCLLroIdrsdu3btGvXn7HY7LBbLkC8S+Yq8S2+8kuSvOkqgCCFEcdNyxQ+4R5on3nvrhEmgWlpakJ2dPeSy1NRU6HQ6tLS0jPpza9asgdFolL4KCwuVDpXIoMib+NR19vn9szanGy0WsX+KlvAIIUQ503PF1Z8jzROvDyqsCdTq1ashCMKYX1999ZXP9ycIwrDLGGMjXs7dd999MJvN0ld9fX1A/xYSWrwCFUgCxX/GEKdBaoJW1rgIIYQMmOZNoA5PwApUWHugVq5ciWuvvXbM25SUlPh0Xzk5Ofjyyy+HXNbV1QWn0zmsMjWYXq+HXq/36TFI5CgOIoGqbecN5AljJteEEEKCwxOoylYrXG4PNOoJs/AV3gQqIyMDGRkZstzXmWeeiUceeQTNzc3Izc0FIDaW6/V6zJ8/X5bHIJFDqkB1BF6BouU7QghRVlFaApL0GvTYXTje1oOpORNnQ1fUpIJ1dXXYu3cv6urq4Ha7sXfvXuzduxc9PeKArgsvvBDTp0/HDTfcgD179uDjjz/GPffcg+9///u0A28C4j1QDV39cHuYXz9b461AlVADOSGEKEqlEjCn0AgA2H2yO7zByCxqEqgHHngAc+fOxYMPPoienh7MnTsXc+fOlXqk1Go1NmzYgLi4OJx11lm4+uqrccUVV2Dt2rVhjpwoIdcYD61agMPtkRrCfXXcOxWXHzNACCFEOfOKUgEAu052hTkSeUXNHKiXXnpp1BlQXFFREf773/+GJiASVmqVgILUBNS096Kuo0869dsXJ9rEClR5FiVQhBCitHnFYgK1u25iJVBRU4Ei5FSFUiO577OgzH1OtPfYAQBlVIEihBDFzSsUE6ia9l50eF9/JwJKoEjUKkoTq061fjSSH28Tl+9yjXFI0kdNAZYQQqKWMUErnYu3s3biVKEogSJRqyxD/IOsbvP9pO8T1P9ECCEhd1a5uOP+s2NtYY5EPpRAkajFe5iqTH4kUN5ki/qfCCEkdJZOyQQAfFppAmP+7ZyOVJRAkajFk6CTHX1wuDw+/czADjyaAUUIIaFyZlk69BoVms02VLZOjGNdKIEiUSvXGIdEnRpuD/P5UGHeAzWJKlCEEBIycVo1llSIy3j/2dsU5mjkQQkUiVqCIEhVqOM+LOP1OVzSFPKKLIOisRFCCBnqm/MKAABv7m7wewByJKIEikS1SX70QR1tsYIxINOgR6aBzj8khJBQOn9aNlITtGi12LGlKvqbyWkfN4lq/lSgDjeJp4Hzwy0JIYSEjk6jwi++Pg0ZSXqcXS7PObjhRAkUiWrlmb5XoI40iwnUdEqgCCEkLL61oDDcIciGlvBIVOMnex83WWF3uce87eFmXoGi/idCCCHBoQSKRLXCtHgY47VwuhmqWkevQnk8DJUt4tbZGXlUgSKEEBIcSqBIVBMEATPzxYToQKN51NtVt/egz+FGnFaFknSaAUUIISQ4lECRqDczzwgAODhGArX7ZDcAYHZ+CjRqetoTQggJDr2TkKg3M9+HBKpOPMBybnFKKEIihBAywVECRaLeLG8CdaTZCptz5EZynkDNL0oNWVyEEEImLkqgSNQrTk9ApkEPh9uDvfXdw6439zlxzNtgPq+YEihCCCHBowSKRD1BELCoLB0AsL26Y9j1W0+0AwDKMhORkUQTyAkhhASPEigyISwqSwMAbDsxPIHa7D0y4JyKzJDGRAghZOKiBIpMCGd6K1B76rphtTmlyxlj2HxMrEAtnUwJFCGEEHlQAkUmhNKMREzKTITD7cHHR0zS5Xvru9HY3Y94rRoLvVUqQgghJFiUQJEJQRAEXDI7DwDw7r4m6fL/7BX//4UzspGgo6MfCSGEyIMSKDJhXD5HTKA+qTThRFsPuvsceP2regDAlfMKwhkaIYSQCYY+kpMJozwrCRdMy8ZHR1rxy7cOIi1Jh16HG9Nyk3FORUa4wyOEEDKBUAJFJpR7l0/B58fbsM07zkAQgAcvmw5BEMIcGSGEkImElvDIhFKeZcBzNy7ApMxEFKbF4w/XzpVmRBFCCCFyERhjLNxBRBKLxQKj0Qiz2Yzk5ORwh0MIIYQQH4T6/ZsqUIQQQgghfqIEihBCCCHET5RAEUIIIYT4iRIoQgghhBA/UQJFCCGEEOInSqAIIYQQQvxECRQhhBBCiJ8ogSKEEEII8RMlUIQQQgghfqIEihBCCCHET5RAEUIIIYT4iRIoQgghhBA/UQJFCCGEEOInSqAIIYQQQvykCXcAkYYxBgCwWCxhjoQQQgghvuLv2/x9XGmUQJ3CarUCAAoLC8McCSGEEEL8ZbVaYTQaFX8cgYUqVYsSHo8HTU1NMBgMEARBtvu1WCwoLCxEfX09kpOTZbtfJVHMoRGNMQPRGTfFHBoUc2hQzEMxxmC1WpGXlweVSvkOJapAnUKlUqGgoECx+09OTo6aJzpHMYdGNMYMRGfcFHNoUMyhQTEPCEXliaMmckIIIYQQP1ECRQghhBDiJ0qgQkSv1+PBBx+EXq8Pdyg+o5hDIxpjBqIzboo5NCjm0KCYw4uayAkhhBBC/EQVKEIIIYQQP1ECRQghhBDiJ0qgCCGEEEL8RAkUIYQQQoifJlwCtWbNGpx++ukwGAzIysrCFVdcgcrKyiG3YYxh9erVyMvLQ3x8PJYtW4ZDhw5J13d2duLHP/4xpkyZgoSEBBQVFWHVqlUwm81D7qekpASCIAz5uvfee8eN8cCBA1i6dCni4+ORn5+PCy64YEjMF198MS699FJMmTIFKpUKd955p88xZ2dnQ6VSQRAEZGVl4f333x/y2FlZWVEVs9PphNFoHBbzypUrIzZmAEhJSRkW84033hjRMY/0fD7//PMjOuakpKRhMefl5UV0zCP9nvPy8lBXVxexMZ8aL//63e9+51fMDz/8MB599FEp7oyMDBQUFKC0tFSKGfDtNXrZsmXQarUQBAE6nQ5XXXXVkNfonp4eJCcnR9XrHSAeI3ZqzD/4wQ/CFvOVV1455O/s0ksv9em98JZbbvE75ocffnjIOXbNzc349re/PSRmX2zevBmXXXYZ8vLyIAgC3n777WG3efPNN3HRRRchIyMDgiBg7969Pt33EGyCueiii9i6devYwYMH2d69e9kll1zCioqKWE9Pj3Sb3/zmN8xgMLD169ezAwcOsGuuuYbl5uYyi8XCGGPswIED7Morr2TvvPMOO378OPv4449ZRUUF++Y3vznksYqLi9nDDz/MmpubpS+r1TpmfGazmWVnZ7Nrr72WHThwgK1fv56p1Wp2zTXXSDGfd955zGAwsL/+9a/stNNOY3fccYdPMZ9xxhlMrVazRx55hL344ossJSWFqdVqdvLkSenxMzIy2LnnnsvWrl3LALCNGzdGdMzd3d0sLi6OXX311WzLli3sv//9L5s7dy477bTTIjZm/ntesWIF2759O/v000/ZddddxwwGAzOZTBEbM38+v/jii2z69OksOzub/eY3v4no33NiYiIrLy9n+/btk74GXx+JMefn57P4+Hh22223sQ8//JBt376dvf7666y1tTViYy4oKGA//elPpd/xE088wQCwEydO+BWzwWBgU6ZMkV6jN2zYwEpKSlh6ejqbNWsWu+OOOxhj479G/+53v2OCILCVK1ey//3vf+zKK69kgiCw5cuXS49/yy23MI1Gw26++Wa2Y8cO9tvf/papVCr2yiuvROzzw+PxMJ1Ox4qLi9l7773HtmzZwr7zne+wgoKCIe9hoYx58eLF7Fvf+hb705/+xACw3NzcYe+FKSkpTKfTseeff55t2rSJXX755Sw7O1u6H3+eH2vXrpVuU1NTw1atWsX+9re/STH74r333mP3338/W79+PQPA3nrrrWG3efnll9lDDz3EnnvuOQaA7dmzx6f7HmzCJVCnMplMDAD77LPPGGPiEzQnJ2fIG4PNZmNGo5H9+c9/HvV+/v3vfzOdTsecTqd0WXFxMXviiSf8iueZZ55hRqOR2Ww26bI1a9awvLw85vF4hsW8dOlStmrVKp9iPuOMM9itt946JGZBENjPfvazYTHX1NT4/KSJlJi5HTt2MABjvlFGWsxms5kBYB999FFEx7x69WqWn5/PDh486NPzO9wxJyYmspkzZ44ZY6TFnJCQwObPnx9VMZ/6XPjGN77BzjvvvKBjHhz3nDlz2B133OHTa/SpMTPGWF5eHlOr1dJr9IwZM1hKSsqQuOfNm8d++ctfBh23Ur/ryspKBoD9/Oc/l27jcrlYWloae+6558IS82AA2D333DPkvdDj8TCVSsUuvfRSn+/H15gHW7p0qc8J1Kkxj5RAcf68F55qwi3hnYqXGtPS0gAANTU1aGlpwYUXXijdRq/XY+nSpdi6deuY95OcnAyNZujxgY899hjS09Nx2mmn4ZFHHoHD4Rgznm3btmHp0qVDhohddNFFaGpqQm1t7YgxWyyWcWN2OBzYtWvXkNuYzWbo9Xps3759WMxz584FADz//PNREzP/PT/zzDMAxGWyaIh5zpw5uOaaa5CcnIw5c+ZEdMyPPvoourq6cP3118NsNsPlco0ab6TEfOjQIahUKuj1eixYsAANDQ0RG7PH40F/fz8qKyuh0+mg0WhQWFiI119/PWJj5vjzeebMmXj33XexYsWKoGMeHLdWqwUw/mv0SDEDwNSpU6FSqaTX6LPPPht9fX1Ys2YN0tPTUV5ejoMHD+K8884LOm6lftd2ux0A8OKLL0qvd7/5zW+g1Wrx+eefhzzmkfT19Q15L6ypqYHH48H27dulmNeuXYslS5aMeT++Pj8i2YROoBhjuPvuu3H22Wdj5syZAICWlhYAQHZ29pDbZmdnS9edqqOjA7/61a/wwx/+cMjld9xxB1599VVs2rQJK1euxJNPPonbb799zJhaWlpGfGx+3Ugx9/b2jhtze3s73G63dBse86JFi4b8u3jM//rXvwAA//znP6Mm5k2bNuGHP/wh/vGPf2DSpEljHkQZCTGvWrUK/f392L9/Pz788EMsW7YMGRkZERvzjBkzMGvWLGzduhUrV66ExWLBG2+8MWq8kRDzlVdeiUcffRSvv/46fvCDH2Dv3r2YNWuW9EYUaTGbTCYwxuB0OnHHHXfgF7/4Bbq6unD11Vfjs88+i8iYgaF/g1OnTgVjDJs2bRo1Xl9iBoa+RicmJg65brS4T42Zx717924YDAbpsqeeegqzZ8+GyWSC2WxGbW0t9Ho9/vnPfwYVt5K/66lTpyI1NRUzZszAf/7zH9x6661Ys2YNWltb0dzcHPKYR/L6668PeS/kt/3zn/885L2wqqpqzPvx5fkR6SZ0ArVy5Urs378fr7zyyrDrBEEY8j1jbNhlgJilX3LJJZg+fToefPDBIdfdddddWLp0KWbPno1bbrkFf/7zn/HCCy+go6MDgPiGlJSUhKSkJCxfvnzMx+aX+xLzli1bkJSUhHXr1uHjjz8e8oIgCMKQmM8999whj8djnjZtGgDg/vvvj6qYP/jgAxQWFuLEiRMRH/OqVauwf/9+bNu2DcuWLcM777yDo0ePRmTMu3btwq5du/DOO+9gzpw5uOWWW5CWloYvv/wyon/PL7/8Mu69915885vfxB//+Ef8+c9/Rnd3N1599dWIjNnj8QAQE7/f/e53ePjhh/G3v/0NAPCHP/whImMGhr7WHTx4EBdddBFeeumloJ4bwPiv0TxmHvfgJILfB487MzNzyAeUp556ChaLBe+88w52796NJ598Ek6nM6Jf77RaLTZu3Iiuri4sWbIEK1euRHl5OQDA7XaHLWb+ewaAgoKCYe+FALB48eIh74WVlZVwOp0Bx+yLwc+PpKSkcZNjuWnGv0l0+vGPf4x33nkHmzdvRkFBgXR5Tk4OADHDzc3NlS43mUzDsmGr1YqLL74YSUlJeOutt6QS82gWLVoEADh+/DjS09Px3nvvSU+g+Ph46fFPza5NJhMA4Nlnn8Unn3wyLObBn8xyc3OxYMEC7N27F7feeiuSk5Nx+eWXQ6/XQ61Wo6amBj/5yU+kmH/+858P+3cNNnv27KiI2el04uqrr0ZNTQ3eeecdzJo1K+JjTkxMRHl5OcrLy/Hyyy+joKAATz31FJ555pmIi3nLli0wmUwoKiqS7pu/YM+cORPNzc0RF/NI+Ivzjh07sGLFioiLOSMjAxqNBtOnT5fue/DrBoCIi3mwLVu2oLKyEk899RT+97//Bfw3mJ2d7dNrNI8ZAG699VZkZWUhIyMDarUaLS0tQ16j58+fj4MHDwIA+vv78Ytf/AJvvfUWLrnkEgDia90XX3yBV199NaJfO+bPn4+9e/fCbDbD4XDA4XCgoKBAalkIZcwc/z0DwL333jvkvXCk91T+nI6Liwso5rH+xgcb/Pzw5+fkMuEqUIwxrFy5Em+++SY++eQTlJaWDrm+tLQUOTk52Lhxo3SZw+HAZ599hsWLF0uXWSwWXHjhhdDpdHjnnXekJ8JY9uzZAwDSk6i4uFh6A83PzwcAnHnmmdi8efOQvqMPPvgACQkJ+Oijj0aMOTk5eUjM8fHxKCoqwldffYWLLroIBoMBOp0Op512Gu6+++4hMW/cuHHIv+tUvCISyTHz5KmqqgofffSRtD4eyTGfij83+Hp/pMV8ww03YP/+/di7d6/0xXsl+HJvpMU8Er4Mxj+1R1rMOp0Op59++pDRKvy5wR8z0mIe7IUXXsD8+fOlOPz9G/zwww+Rm5uLtWvX+vQaHR8fj/LycinupUuXQqfTYf78+diwYcOQ1+hNmzZJMTudTjidTqhUQ9/iurq6Aoo7HL9ro9GIzMxMbNiwAQBwxRVXhDxmYOh7IQDpf0f678Xt2LEDALBkyRK/Yv7www+Rl5eHkpKSYb+PkfDnB/8avIQbEn63nUe42267jRmNRvbpp58OGS/Q19cn3eY3v/kNMxqN7M0332QHDhxg11133ZCtmxaLhS1cuJDNmjWLHT9+fMj9uFwuxhhjW7duZY8//jjbs2cPq66uZq+99hrLy8tjl19++ZjxdXd3s+zsbHbdddexAwcOsDfffJNptVoWFxc3JOaNGzeybdu2sfnz57Nvf/vbbNWqVcxgMIwZc3l5OQPA1qxZwz777DP2/e9/n8XHx0tbjbdu3cp+/etfs1dffZW98MILDABLTU1lS5cuZc3NzREZ8+bNm9mMGTNYVlYW27BhA/vLX/7CcnJy2EUXXcTsdntExvzxxx+z888/n/3tb39jW7ZsYWvWrGEJCQlMpVKxgwcPRmTMIz2f1Wr1uDvcwhnzRx99xJYtW8ZeeukltnnzZvbAAw9Ijz3W9ulw/55vvvlmptFo2KOPPsr+8Ic/MKPRyACwLVu2RGzMjz/+ONuyZQuLi4tjt9xyS8CvdcnJyezMM88c8hq9ceNGtnHjRjZ37lz27W9/m+3Zs4fdddddY75Gr1u3jgmCwAoKCtj//vc/KeYdO3ZIr9GnnXYay87OZs899xz77LPP2G233cYAsNmzZ0fsc3rr1q3sxhtvZM899xz79NNP2T333MPUajXLzc0NW8wLFixgFRUV7J133mEA2OrVq9nGjRtZdXW1FPMll1zCkpKS2LPPPst+97vfsfj4eKbX6/3+O0xOTh4yxoAxxvbs2cP27Nkjxbxnzx526NChMX8fVqtV+jkA0mvb4J3bHR0dbM+ePWzDhg0MAHv11VfZnj17xnwvPNWES6AAjPi1bt066TYej4c9+OCDLCcnh+n1enbOOeewAwcOSNdv2rRp1PupqalhjDG2a9cutnDhQmY0GllcXBybMmUKe/DBB1lvb++4Me7fv58tWbKE6fV6lpOTM+pjnfplNBqDjrmsrGzE2zz44IMRGfO777476m02bdoUkTFv3bqVpaamMkEQGACmVqvZ5MmT2ebNmyP6uXHq89loNLLHHnssYmP+4osvmNFolH7PGo2GzZkzh1VWVkZszPz3HB8fzwRBYIIgsOzsbPbaa69FRcwAWEVFRcCvdatXr/Yp5qKioqBfoz/44AOWkZEhPT90Oh278MILx5ynFAm/6+Li4iHP6SVLlrCurq6Ii5nPguLPD71ezwAwQRBYUVER27FjR0DPj1NHGIz02MXFxWPe72hxr1ixQrrNunXrRrzNeO+FgwneAAkhhBBCiI8mXA8UIYQQQojSKIEihBBCCPETJVCEEEIIIX6iBIoQQgghxE+UQBFCCCGE+IkSKEIIIYQQP1ECRQghhBDiJ0qgCCGEEEL8RAkUIYQQQoifKIEihEQNQRDG/Lrpppuk27399tvDfm779u1D7s9utyM9PR2CIODTTz8d93FeffXVEPwrCSHRQBPuAAghxFfNzc3S/3/ttdfwwAMPoLKyUrosPj5+1J8tLCzEunXrsGjRIumyt956C0lJSejs7Bx2+3Xr1uHiiy8ecllKSkoQ0RNCJhKqQBFCokZOTo70ZTQaIQjCsMtGs2LFCrz66qvo7++XLnvxxRexYsWKEW+fkpIy5L5zcnIQFxcn+7+JEBKdKIEihMSE+fPno7S0FOvXrwcA1NfXY/PmzbjhhhvCHBkhJBpRAkUIiRk333wzXnzxRQDiEt3Xv/51ZGZmjnjb6667DklJSUO+qqurQxkuISSCUQ8UISRmfOc738G9996L6upqvPTSS3jqqadGve0TTzyBCy64YMhlhYWFSodICIkSlEARQmJGeno6Lr30Unzve9+DzWbD8uXLYbVaR7xtTk4OysvLQxwhISRa0BIeISSmfPe738Wnn36KG2+8EWq1OtzhEEKiFFWgCCEx5eKLL0ZbWxuSk5PHvF13dzdaWlqGXGYwGJCYmKhkeISQKEEVKEJITBEEARkZGdDpdGPe7uabb0Zubu6Qrz/+8Y8hipIQEukExhgLdxCEEEIIIdGEKlCEEEIIIX6iBIoQQgghxE+UQBFCCCGE+IkSKEIIIYQQP1ECRQghhBDiJ0qgCCGEEEL8RAkUIYQQQoifKIEihBBCCPETJVCEEEIIIX6iBIoQQgghxE+UQBFCCCGE+On/A2fnY6CroTeUAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Create temperature timeseries.\n", "\n", "daily_means = np.array([\n", " 6.0, \n", " 5.5, \n", " -9.0, \n", " 3.5, \n", " -6.0, \n", " 5.0, \n", " 5.5,\n", " 3,\n", " 1,\n", " -7,\n", " 2, \n", "])\n", "\n", "days = np.arange(len(daily_means))\n", "\n", "# -------------------------------------------------------------\n", "# STEP 2 — Smooth daily means to hourly resolution\n", "# -------------------------------------------------------------\n", "hours_total = len(daily_means) * 24\n", "hour_axis = np.linspace(0, len(daily_means) - 1, hours_total)\n", "\n", "# Smooth interpolation of daily means → eliminates jumps\n", "smooth_daily_mean = interp1d(days, daily_means, kind=\"cubic\")(hour_axis)\n", "\n", "# -------------------------------------------------------------\n", "# STEP 3 — Add smooth diurnal variation\n", "# -------------------------------------------------------------\n", "daily_amp = 4.0 # smooth sinusoidal amplitude\n", "hour_of_day = np.arange(hours_total) % 24\n", "\n", "# Smooth sine curve for daily cycle\n", "diurnal_cycle = daily_amp * np.sin(2 * np.pi * (hour_of_day - 6) / 24)\n", "\n", "# Combine mean + diurnal variation\n", "hourly_temps = smooth_daily_mean + diurnal_cycle\n", "\n", "# -------------------------------------------------------------\n", "# STEP 4 — Interpolate to minute resolution\n", "# -------------------------------------------------------------\n", "minutes_total = hours_total * 60\n", "minute_axis = np.linspace(0, hours_total - 1, minutes_total)\n", "\n", "smooth_interp = interp1d(np.arange(hours_total), hourly_temps, kind=\"cubic\")\n", "minute_temps = smooth_interp(minute_axis)\n", "\n", "# -------------------------------------------------------------\n", "# STEP 5 — Create pandas time series\n", "# -------------------------------------------------------------\n", "start = pd.Timestamp(\"2025-01-01 00:00:00\")\n", "ts_index = pd.date_range(start, periods=minutes_total, freq=\"min\")\n", "temperature_series = pd.Series(minute_temps[:number_of_hours*60], index=ts_index[:number_of_hours*60])\n", "\n", "\n", "plt.plot(temperature_series)\n", "plt.xlabel(\"TIME\")\n", "plt.ylabel(\"OUTDOOR TEMPERATURE\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4ceda2b1", "metadata": {}, "source": [ "We model a room (situated in Aeugst am Albis) which is heated by a radiator. Our PID controller controls the temperature of the radiator at a minutely resolution.\n", "The room gains energy from the radiator (or is cooled by it).\n", "It looses energy by conduction through a wall.\n", "Furthermore, it gains energy by irradiation." ] }, { "cell_type": "code", "execution_count": 10, "id": "402dd8de", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 423 }, "id": "402dd8de", "outputId": "b4731f5c-3f45-4870-b08e-3411c07ac1c4" }, "outputs": [], "source": [ "import copy\n", "\n", "#Definition of the function that calculates the response of the room.\n", "def integrator(KP, \n", " KD,\n", " KI, \n", " T0pid = 30.0, \n", " T_outdoor_timeseries = temperature_series, \n", " irrad_timeseries = irrad_data/1000,\n", " Mth = 20.0, \n", " gamma = 1.0, \n", " delta = 1.3, \n", " T_should=22.0, \n", " Tindoor_start = [22.0, 22.0, 22.0]\n", " ):\n", " \n", " Tindoor = copy.deepcopy(Tindoor_start)\n", " T_outdoor_timeseries = list(T_outdoor_timeseries)\n", " Theating = [35.0, 35.0, 35.0]\n", "\n", " integrationterm_tot = 0.0\n", "\n", " for i in range(len(T_outdoor_timeseries)): #loop over all time steps to obtain response and indoor temperature at all time steps.\n", "\n", " i_tindoor = i+3\n", "\n", " natural_outflow = gamma * (Tindoor[-1] - T_outdoor_timeseries[i]) \n", " heating_inflow = gamma * (Theating[-1] - Tindoor[-1])\n", " irrad_flow = irrad_timeseries[i]\n", " netflow = heating_inflow - natural_outflow + irrad_flow\n", "\n", " Tindoor.append(Tindoor[-1] + netflow/Mth)\n", "\n", "\n", "\n", " diff_term = (T_should - Tindoor[-1]) - (T_should - Tindoor[-2])\n", " proportional_term = (T_should - Tindoor[-1])\n", "\n", " Tnew = T0pid + KP*proportional_term + KD*diff_term + KI*integrationterm_tot\n", "\n", " Theating.append(Tnew)\n", "\n", " integrationterm_tot += (T_should - Tindoor[-1])\n", "\n", " return Theating[3:], T_outdoor_timeseries, Tindoor[3:]\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "6244626c", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 1600x400 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Here you can try the response of the controller in a simple example: Outdoor tempeature = 3 degrees C, no irrandiance\n", "\n", "\n", "ts1, ts2, ts3 = integrator(52.36, 1.286, 39.22, T_outdoor_timeseries = (temperature_series*0+3.0)[:60], irrad_timeseries = (irrad_data*0.0)[:60]) # KP, KD, KI\n", "\n", "start = pd.Timestamp(\"2025-01-01 00:00:00\")\n", "ts_index = pd.date_range(start, periods=minutes_total, freq=\"min\")\n", "\n", "fig, axs = plt.subplots(1,3, figsize = (16,4))\n", "axs[0].plot(pd.Series(ts1, index=ts_index[:len(ts1)]), label = \"Heating water\")\n", "axs[0].set_xlabel(\"time\")\n", "axs[0].set_ylabel(\"Heating water temperature\")\n", "axs[0].legend()\n", "axs[1].plot(pd.Series(ts2[:len(ts1)], index=ts_index[:len(ts1)]), label = \"Outdoor\")\n", "axs[1].set_xlabel(\"time\")\n", "axs[1].set_ylabel(\"Outdoor temperature\")\n", "axs[1].legend()\n", "axs[2].plot(pd.Series(ts3, index=ts_index[:len(ts3)]), label = \"Indoor\")\n", "axs[2].set_xlabel(\"time\")\n", "axs[2].set_ylabel(\"Indoor temperature\")\n", "axs[2].legend()\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 34, "id": "7cd4a8dc", "metadata": {}, "outputs": [ { "data": { "image/png": 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CAOaP6H1gzVBhMBhw7NgxHDt2DABQUlKCY8eOoby8HAaDAY899hj27duH0tJS7Ny5E0uWLEFcXFy3absDSWkjd1A9LL7nQGZmHDcMrsFgQZvZ5rd1ETJUsFQvO6ANhJ/Prl27sHLlSuzfvx/btm2D3W7HwoULYTRy798mkwlHjhzB008/jSNHjmDz5s04f/48rr766j6fd9++fVi6dCluu+02HD9+HLfddhtuuukmHDhwQNzms88+w8MPP4wnn3wSR48exSWXXILFixejvLzcp19zh86l5X3/LA6XNWHVP49h/Q/nYbLaAQAGiz0gP0NdmxlGi93vryvYcU6Hi174EfP+vBOVzSY4nSz+eagCP52vD9iaBgp//z4YLHbcsfEXrP+hAMv+tl/8vbA7/Ne2jWXZAfFe1llFkwlbT9fCEaBge53ejD2FDQPu+0I4VFpOeiRkV+YlhkEp7zvePSYlkv+cVp+vixAysBTVG9FgsECtkGEi3zN3KDt06BDmz58vfrxq1SoAwB133IG33noLJ0+exPvvv4+WlhYkJydj/vz5+OyzzxAe3nsLj0ATBv2kR2t7fDxCo0RsqAqNRivKGk0Ym9p7Fj8hxHVyuRwAYLVaERISEuDVkN5YrVYAHT+vQNiyZUuXjzdu3IiEhAQcPnwYc+bMQWRkJLZt29ZlmzfeeAMXXXQRysvLkZHRc3/r9evXY8GCBVizZg0Armfzrl27sH79enzyyScAgFdffRV33nmnOFl+/fr12Lp1K9566y2sW7fO219qN50zMg+VNkOtlMHmYGHje/cr5AyUchm+OFqFfx+uFLf99kQNYsNU2F/chPFpkdi04iJEh6rAsqzPqktsDieUchne2lmEl7eeQ7hagQ/unI4JPjx+cjpZtFnsaDXZ0NpuQ7PJit2FDXjn52KwLNDabsPDnx7DxPQo/H03N7jxn3fPwEXZMQCAA8WN+OZEDVZfMQLhGqXk12dZFjYHC4vdAYvdyd1s3P8BQKWQQcYw0LfbcLC0CVOzYjAxPQpljUaEqRWI7aE3t6dYlkWT0Yq3dhbhUFkz4sJUeGLxKGTGavH7r07j34crMCIpHG//zxSk9XLsI4XF7oDR4oDRYofBYofRYofR6sCB4kZEa1X4+ng1iuu5iw61ejM27StFUoQGq/99Ar+emoZ114/3eA2dsSwLk9UhruNYRTNe+f48rHYn/u/WyZiWFePV1+trHWabE0arHS0m7udf22rGdZNSUdZkwv0fHUGbxY4HL83FqoUjYLU7oZQzXv37dDpZtNscMFkdMFjsMFm5RC6T1YE7Nx1Eg8GKu+cOw5rFo7z2mn3R6c1gAWhVcihkMrFdRohSjh/P6qA323D1hBQo+onPDAUUyCQ9KqrnSgmHJ/Z/ci2WllfrfbrzJ4QMPPuLuWzMyRnR0CgDdxI3UMybN6/PK7dbt27142q8o6K5HQCQHtN7ICUrLhSNRitKG40UyCTESxQKBbRaLerr66FUKiGT0YnLQON0OlFfXw+tVguFYuCcVrW2cskFMTG9ByRaW1vBMAyioqJ63Wbfvn145JFHuty3aNEirF+/HgAXxD18+DCeeOKJLtssXLgQe/fu7fE5LRYLLBaL+LFe71lFV+fzjhX/ONjv9hdlx6C43oACnQEF3JxCnKhsxSvb8nH7jCws/es+pEVrcbKK+x6umJWFjBgt4sLUcLIs7A4WdqcTNgcLu4P712xzwGx3wGJzwmx3wGxzwswH68w27v5fSpsAAGFqBQx8xp3ebMdvPziEL1fOwts7i/DV8WqMT4vCVeOSsHB0Et7+qQiNBismpEVCrZQjQqOE1eGE1c7dLHYHrHYn9GYbWvhAZedbi8mGNrOt15L7S/LicKCkCYfKmnGorFm8/x97S8RA5tK/7QcAfLC/DNOyoqFVKaCUM3CyXGDWanfC5nB2BCn574P4f7tT0hAmhYzB2NRIHKtogVYlx++uHIVpWTEoaTDgVJUeOQmh0Ci4400nCzhZFjaHE0aLHW1CkNDiQJtZCBhywUMD/7HBYofe3D0Tdl9RI7LjQ3Gqivt9PFWlxz0fHsaNk9NwrKIFc0fEQ8YwOFXVigYDd/FCON5zsuCDYdxrC/8ardxr2hz9fwNUchlumpaGD/eX480dRdzvmpPFJ79U4Kap6ciKDcWXx6pQ32bBvw9XIi5MjYuyY6BRysHy2zqc3O+m3cEF5zoCpx1rEf7f28/kN+8fwpiUCByvaIVCziA+TI34cDUiNEqEaRQIUysQopJDJZdBKWfEgBrLcj1qWRaw2p2dvvcOmPh1mKwd6zDx6+jpd/O1H7v2jf/H3lLIZAzW/1CA8WmRWDg6EXYn93O/MGm1cxjCanfCYOZeu81ih8FsE78fws/LbOs/6/Wdn4oxLC4UDQYr9hU1wuZwIjJEKd7CNAqoFDIoZTIo+O+Jg/+bsNqdsPL/N1ntaLc60W7jvhftVocYRG23OlDV0t7rGhimY5jZNydqMDYlAkX1RiRGaBAfroaM4QafyWSM+H+A+71stzpg7hSsbW234frJqfjV+JR+v/aBbODsccmAIgQyh8X1XVYOcH3TlHIGerMdlc3tSI/x/MoVIWRwEAKZFw+LDfBKiC+YbQ7Ut3EnnL1lZAJAVmwoDpc1o4z6ZBLiNQzDIDk5GSUlJSgrKwv0ckgvZDIZMjIyBsyFfJZlsWrVKsyePRtjx47tcRuz2YwnnngCt9xyCyIieh/SV1tbi8TExC73JSYmora2FgDQ0NAAh8PR5zYXWrduHZ599lkpX1KfZBd82/MSuGoypYILsNgdXGBHb7bB5mDx6W8uRkWzCSs2HkS9wYJbpmfgr7uKsflIFdrMdjSbbGg2dVSZbdxT6rW1AhCDmP87Kxs/F9SjQGfAjHXbxcd/Ol+Pn87X4/99flK8r3MmqbtClHIx8JIaHYJl09KxcEwStpyqxWP/Og6r3YmrJ6bg34cr8d3JWkx9/gckRnTNhjxY2tzLs7tOpZBBrZBBreACcFaHE04nCwfLIlSlQKPRimMVLQAAk9WBp7485fFr9md8WiROVLbiVJUeChmDJxaPxIYdhThVpcepqjMAgC+P9d9Ptj8hSjlC1XKEqhUIVSlQVG+Axe7Eyvk5uGJMMkanROBAcRMK+N7kgqV/3Q+lnIHR6hDv07VZPJ5PwTBAqIoLTs4fGY+d+fWoaTVjT2GjuE2LydZtPb4QrlEgM1YLtUKOw3xQfenUdGw5XYvWdhvW/8AFN09UtuJEpferQIXvhVYlh9nmgN5sx5TMaGiUMuwpbOzy9xgInQPP28/psP2czqPnGxcESQcUyCQ9EtLbe+uJ1plKIUNOfBjO1bahQNdGgUxChpCj5S0AIF65J8GlspkLTIapFYjS9l5SlhXLve9Tk3pCvEulUiEvL08sXyYDj0qlGlDZsvfffz9OnDiB3bt39/i4zWbDsmXL4HQ68eabb/b7fBcGaHuqvnJlG8GaNWvEtisAl5GZnp7e7zp6I+v0OgefvBzx4f2XImfGhuL7R+YAAOQyBv89WYvyJhO+6iNYlRMfisQIDRRyGRQyBgoZV7KulDPQKOVQK2Tcv0o5NEoZNAo5NPz/1QruX5VChrgwNUKUcmTFhaK0wYirN+yG3myHXMZg1YLhYFkW35yowbnatm5riAlVYURiOFQKmXhTy2WICFEiIkSJKD5QGaXtyBaL5P+vVvRcNXPF2CTMHxkPpxMIUclxplqPMzV6NBgsaDB0ZM5ePioBi8cmgwUXHJbJGCj5sn2FTAa1siNAyX0vOv6v5r8/KrkMsgsjz51Y7A489Mkx7C5swCMLhsPucOKfhyrQZLRCLpOhwWBBcqQGadFchQjDMGAAKOUyhKkVCFUrEK5RiMHCsAtuoWqFmFWoUcjhYFlEa5VwOFm8u7sEJypbcfNFGZidF4eMGC1++8FhMAzXA7600YgIjRLj0yKRFh3S5fcO4L53YWoFtCoFQlVyaNUKhAlBSz5wKe/jaxc8unAE7vnwMABg8dgk/PdULZeF6wBGJoVjUkY0filpREK4BjWt7bh0ZCIUcgZy/ndSLmMgZxiEqDpeO0wth1bV8T0IVXNrDVHKu/ydVjabsP6HAoRrFLhxShoU/Pe8vo3rga4329HOZ1Xa+AsEVj4lUsb/LBim68+D+9o7fh5albzb/SFKeZffi6J6A9QKGdKitdCq5eLFhAlpkZg7PB61ejOXASmXQd5p/Z2TO1mWi1GEazr9Dmg6vgdalRwhSjm0Ku57o1HKunwvzDYHNEo5dG1m3PmPQyhpMOLiYTGYOzweUVqVmPWsb7ehzWKH1e6Eg88StTtYyOUM1PJOf6cKGUJUHa8bohJem3uf0PKPRWiUSIxQw8I/n4xhYHM6UaQzIDU6BAeKm/DIZ8eQFKnBrdMz0Wyycn+nfHayU/yX+25o+K8xRMndwjQKRGiUGJdGgUwShFiWRTGfkZmT0H9GJsBlZZ6rbUNBnQGXjkzs/xMIIYNeg8GCqpZ2MAwwNrX3jA4yeFU0cWUuadEhfWYbpfFl532VxRBC3COTyaDRaAK9DDIIPPDAA/j666/x008/IS0trdvjNpsNN910E0pKSrB9+/Y+szEBICkpqVtmpU6nEzMw4+LiIJfL+9zmQmq1Gmq19/seAnApiCno3GPumokpeGN7IQBuf/flylloM9uR7UJlmiey4kLx8W8uxie/lOPKccmYlRsHALj/0jyUNRphsTuRlxDm82zfzkHOp341Cr/bfBKp0SHQqhTIr23DH28Yjxk5vq+8USvkePu2KV0C4XfPzfH56yrkTLfXWTgmCV+tnIUQldylVmvesmhMIlZfwfWDvGduDq4YW4sfz+pw5bhkLBqT6NPfhbRoLf786wld7hsB//dwz+mUSHXXJcOw9RT3/vLGzZOREeufhCmhXVZCuAb/eWC2X16zp9cHgBDIMSkjGgCwZEIK5o9MQIhS7lJgPJhRIJN002i0Qm+2g2G4ckFX5CWEA6hBoR9SzwkhA4PQP2pYXKhbDeDJwCdkZPaXaZ8axT1OgUxCCPE/lmXxwAMP4IsvvsDOnTuRnZ3dbRshiFlQUIAdO3YgNrb/wNSMGTOwbdu2Ln0yv//+e8ycORMAl406ZcoUbNu2Ddddd524zbZt23DNNdd44StznUbpflbstZNSsWFHIVgWuGV6BuLC1IjzwZCZnoxNjcQL143rdn+mi+dg3jYzJw47H5/f/4Y+NFDaNPhyCFNvGIbBffNyxY+vmZiKayam+n0dA0VqVAh+Wj0fDMMM+cCdIExNITyAApmkB0V8MDI1KsTl4R15idyVE3/00CCEDAwn+R4149OiArsQ4jPioJ9+pnamRHHZYjUtZjidbJ+lY4QQQrxr5cqV+Pjjj/HVV18hPDxczJCMjIxESEgI7HY7brzxRhw5cgTffPMNHA6HuE1MTAxUKhUA4Pbbb0dqaqo4bfyhhx7CnDlz8Mc//hHXXHMNvvrqK/zwww9dytZXrVqF2267DVOnTsWMGTPwt7/9DeXl5bjnnnv8/F1wX058GN66dQqK6g24a/awQC+HENIJTegmPaFAJummmO9xluNCf0xBbgK3baHOQJPLCRkihGbbNKU6eFU0CRmZvU8sB4CkCA1kDGB1ONFgsCAhgspgCSHEX9566y0AwLx587rcv3HjRixfvhyVlZX4+uuvAQATJ07sss2OHTvEzysvL+/S73PmzJn49NNP8dRTT+Hpp59GTk4OPvvsM0yfPl3cZunSpWhsbMRzzz2HmpoajB07Ft999x0yMzO9/4X60BVjkwK9BEIIIS6iQCbpRuiPOSze9ZKGrNhQyGUMDBY7avVmJEf2fdJLCBn8Tla1AOCmPZLgVOliRqZCLkNShAbVrWZUtrRTIJMQQvyI7TzStgdZWVn9bgMAO3fu7HbfjTfeiBtvvLHPz7vvvvtw33339fv8hBBCiDdQni7ppkjCxHKBSiETp9ZSn0xCgp9Ob0ad3gIZA4xOpkE/waqmlQtkpkT1f3EqlZ8iWk19MgkhhBBCCCE+QoFM0k2pUFoucVKfUF5eUEeBTEKC3bnaNgBcNnYoNZ0OSha7Aw0GKwAgKbL/DMtUPthZ1UyBTEIIIYQQQohvUCCTdOF0sh2lhP1Mqb0QN7mcBv4QMhScr+MCmSOSwgO8EuIrOr0FAJdxH63tfyq9kLVJk8sJIYQQQgghvkKBTNJFXZsZVocTchmDZBcycDoTMjKFHpuEkOCVz2dkDk+kQGawqtWbAXCDfFwZ4Eal5YQQQgghhBBfo0Am6aKiiTsBTY0KgUIu7dcjLZqycQgZKigjM/jVtnYEMl0hZGRWUmk5IYQQQgghxEcokEm6qGgyAQDSY6RPHReycWpbzXA4+5+MSAgZnJxOVmwhQRmZwatOyMh0MTs/JZLfB/CfRwghhBBCCCHeRoFM0kVFMx/IjJbWHxMAEsI1UMgY2J2seAJMCAk+VS3tMFkdUMllyIqV/l5BBoeaVmmBTCFzs8Vkg9nm8Nm6CCGEEEIIIUMXBTJJF+ViRqb04IRcxognvFReTkjwEvpj5iSESW5BQQaPzj0yXRERooBGyf0+CIOCCCGEEEIIIcSb6AyUdFHJ98gU+l1KlRpFwx4ICXb5dcKgn7AAr4T4Uq3EjEyGYZDIBz2pvJwQQgghhBDiCxTIJF2IpeVuZGQCQHy4GgDQYLB6bU2EkIHlfB1NLB8KhEBmoosZmZ23pUAmIYQQQgghxBcUgV4AGTgsdod48ulOj0wAiAvjAplNxuAvKzTbHPjsYAXq2yy4fnIqhsVTdhoZGoTS8hEUyAxazk69jpNdzMgEOsrQdRTIJIQQQgghhPgABTKJqLrFDJYFQpRyxIWp3HqOmFDu8xqDPCPTandi+cZfsL+4CQDw3p4SfHjXdEzOiA7wygjxLbvDieJ6IwBgRBIFMoNVo9EKu5MFw3Rk2rsiMYLbVsjmJIQQQgghhBBvotJyIqoQB/2EgGEYt54jlg+ABntp+aa9pdhf3IQwtQKjkyNgsjrw8KfHaFIvCXqljSZYHU5oVXKxJy4JPkIgMi5MDaWEgU5UWk4IIYQQQgjxJQpkEpE4sdzNsnIAiA0N/tLydqsDG3YUAgB+/6vR+PTui5EcqUF5kwmf/FIe4NUR4luFOgMAICc+DDKZexc8yMBX60ZZOdAxGKiOApmEEEIIIYQQH6BAJhF5OugHgFiS3mgM3ozMLadr0NpuQ1p0CG6YkoYIjRIPXJoHAPjrrmLYHc4Ar5AQ3ynUcf0xcxOoJ2wwEwKZUgb9AB09Muv0wXsxixBCCCGEEBI4FMgkosqmdgBAWrT75aJRWi6Q2RzEgcx/H64EAPx6SjrkfEbajVPSEBOqQq3ejJ8LGgK5PEJ8SsjIpEBmcKtv4wKRCRL6YwJdS8tZlvX6ugghhBBCCCFDW0ADmWvXrgXDMF1uSUlJ4uMsy2Lt2rVISUlBSEgI5s2bh9OnTwdwxcHNGxmZERpufpTBYg/Kk9g2sw0H+AE/105KEe9XKWS4dmIqAOCfhyoCsjZC/KGwngKZQ0GDgQtkxoVJC2Qm8MN+rHYnWkw2r6+LEEIIIYQQMrQFPCNzzJgxqKmpEW8nT54UH3v55Zfx6quvYsOGDTh48CCSkpKwYMECtLW1BXDFwUsY9pPhQSAzXKMEADhZwGgNvsE3ewobYHeyGBYXiszY0C6P3TCFC2RuP6eDyWoPxPII8Smnk0WRjptYToHM4CZkZEqZWA4AaoUcMaFcZn5dG/XJJIQQQgghhHhXwAOZCoUCSUlJ4i0+Ph4Al425fv16PPnkk7j++usxduxYbNq0CSaTCR9//HGAVx18DBY7mvnsGU8yMjVKGRR8uXWbOfiycXadrwcAzBke3+2x0ckRSI8JgcXuxE/nqbycBJ/q1na02xxQyhlkevA+QQY+dzMygU7l5a0UyCSEEEIIIYR4V8ADmQUFBUhJSUF2djaWLVuG4uJiAEBJSQlqa2uxcOFCcVu1Wo25c+di7969gVpu0BKyMaO1SoSpFW4/D8MwCOfLy9vMwZeVuLeoEQAwt4dAJsMwWDiaa43w/Zlav66LEH8Q+mNmxYZCIQ/47oP4UEdGpkry5yby5eU0uZwQQgghhBDibQE9E50+fTref/99bN26Fe+88w5qa2sxc+ZMNDY2oraWCwQlJiZ2+ZzExETxsZ5YLBbo9fouN9K/8ibP+2MKwsRAZnBlZDYYLChr5L5PkzOje9zmspEJAICfCxqCskcoGdpo0M/QwLKsmJEZHyZtajnQMbm8tpUmlxNCCCGEEEK8y61A5s8//4z/+Z//wYwZM1BVVQUA+OCDD7B7925Jz7N48WLccMMNGDduHC6//HJ8++23AIBNmzaJ2zAM0+VzWJbtdl9n69atQ2RkpHhLT0+XtKahSsjITI/2PJAZrub6ZOqDLCPzWHkLACAvIQyRIcoet5mSFQ2NUob6Ngvy67zfy9XpZGF3OL3+vIS4oogG/QwJBosdZhv3PhPnRkZmAh/I1FGPTEIIIYQQQoiXSQ5kfv7551i0aBFCQkJw9OhRWCxcxkVbWxtefPFFjxYTGhqKcePGoaCgQJxefmH2pU6n65al2dmaNWvQ2toq3ioqaIK0Kyqb2wEAaTEhHj9XsJaWHylvBgBMyojqdRu1Qo7p2bEAgN0F3u2T+c+DFZj8/DaMfmYr1v33LJxOyvgk/lVQR4HMoaDBYAUAhKrk0KqktxrpKC2njExCCCH+waD3RBdCCCHBRXIg8/nnn8fbb7+Nd955B0plR1bazJkzceTIEY8WY7FYcPbsWSQnJyM7OxtJSUnYtm2b+LjVasWuXbswc+bMXp9DrVYjIiKiy430z6sZmfzk8mArLT/KZ2ROzui5rFxwSV4cAK683Fv+c7waqz8/gRaTDVa7E3/dVYw3dxZ67fkJ6Q/LsiikjMwhQRz0I3FiuSAxnMvIrKeMTEIIIYQQQoiXSQ5k5ufnY86cOd3uj4iIQEtLi6Tneuyxx7Br1y6UlJTgwIEDuPHGG6HX63HHHXeAYRg8/PDDePHFF/HFF1/g1KlTWL58ObRaLW655Rapyyb9qGjmApkZXuiRKWRkGi3Bk5HpdLI4WdUKAJjYR0YmAFySxw0COlDSCLPN4fFrt5iseObr0wCAFbOysHbJaADAG9sLaZgG8ZtGoxUtJhsYBsiJp0BmMBMH/bgxsRwAEigjkxBCCCGEEOIjkgOZycnJKCzsngm2e/duDBs2TNJzVVZW4uabb8aIESNw/fXXQ6VSYf/+/cjMzAQArF69Gg8//DDuu+8+TJ06FVVVVfj+++8RHh4uddmkDyzLoqKJKy33xrCfEJUcANBuDZ5ejlUt7TBY7FDJZf0GcYYnhiEhXA2zzYkjZc0ev/ZffypGk9GK4Ylh+N2Vo3DHzCxMyYyGxe7Ee3tKPH5+QlwhDPpJiw6BRikP8GqIL4kZmW4GMhP5Hpn1Bgsc1AKDEEIIIYQQ4kWSA5l33303HnroIRw4cAAMw6C6uhofffQRHnvsMdx3332SnuvTTz9FdXU1rFYrqqqq8Pnnn2P06NHi4wzDYO3ataipqYHZbMauXbswduxYqUsm/WgwWNFuc4BhgJQo6RNqLxTCBznavZCNOFCcq+UG9+QmhEEp7/vPhmEYzM7lysv3lzR59LoGix0f7S8DADy6cASUchkYhsFv53AXDb44UkXDf4hfiBPLKRsz6AkZme4M+gGA2FAVZAzgcLJoNFJWJiGE+Nq6deswbdo0hIeHIyEhAddeey3y8/O7bLN582YsWrQIcXFxYBgGx44d6/d5bTYbnnvuOeTk5ECj0WDChAnYsmVLl23Wrl0LhmG63IRZB4QQQogvSA5krl69Gtdeey3mz58Pg8GAOXPm4K677sLdd9+N+++/3xdrDKhWkw3F9QbogriEVygrT4rQQK3wPNNKDGRag6e0/FyNHgAwMsm1bOAcvodgdUu7R6/7+eFK6M12ZMeFYsGojiFX80ckIFqrhK7Ngn3FjR69Bgk+ZpvD65lwYiCT+mMGPSEjMz7MvQtbCrlMzObUUXk5IYT43K5du7By5Urs378f27Ztg91ux8KFC2E0GsVtjEYjZs2ahZdeesnl533qqafw17/+FW+88QbOnDmDe+65B9dddx2OHj3aZbsxY8agpqZGvJ08edJrXxshhBByIUnjSB0OB3bv3o1HH30UTz75JM6cOQOn04nRo0cjLCw4T27/faQSf/jmDK6ZmILXlk0K9HJ8wpuDfoBOpeVBmJE5Mtm1QGYCPyRD1+bZSfwXR6sAALfPyIRM1jGNUaWQYdGYJHx6sALbz+nEvpxkaLM5nHj6y1P41+FKhGsUeGbJaFw3Kc0rz11Eg36GDE8zMgGuvFzXZoGuzQwg0ksrI4QQ0pMLsyQ3btyIhIQEHD58WJxtcNtttwEASktLXX7eDz74AE8++SSuvPJKAMC9996LrVu34pVXXsGHH34obqdQKCgLkxBCiN9IysiUy+VYtGgRWltbodVqMXXqVFx00UVBG8QcKiqbuazBtJgQrzxfR2l58JQ8n60VMjIjXNo+ge8R50kmb0WTCccqWiBjgKvGJ3d7fN4ILni5K7/e7dcgweUP35zBpwcr4HCyaDHZ8Mhnx7HjnM4rz00ZmUNHvcEKwP1hP0DHxRwa+EMIIf7X2soNqIyJifHoeSwWCzSartn5ISEh2L17d5f7CgoKkJKSguzsbCxbtgzFxcUevS4hhBDSF8ml5ePGjaOdU5ARMjK9MbEc6DzsJzhKy802B0obuNIcVzMyEyM8z8j85kQNAGBGTiwSwruXeM7KjYNCxqC4wSj+DMnQdaqqFR/w/VTfuHkSbr4oHQDw5BcnYfYwO7rNbENNKxeUz42nYWt9+emnn7BkyRKkpKSAYRh8+eWXXR5nWRZr165FSkoKQkJCMG/ePJw+fTowi+1Fg5iR6UEgk7+YUxfEbVkIIWQgYlkWq1atwuzZsz2eLbBo0SK8+uqrKCgogNPpxLZt2/DVV1+hpqZG3Gb69Ol4//33sXXrVrzzzjuora3FzJkz0djYc+sji8UCvV7f5UYIIYRIITmQ+cILL+Cxxx7DN998g5qamiGzI2KDePCqmJHppdJybZCVlhfUGeBkgZhQlcsZSkLgsclodXsYz3+OVwMAloxP6fHxcI0S49K4ks1DZZ4NFSKD3zs/F4NlgV+NT8aSCSl4ZskYpERqUN1qxvv7Sj16biEbMz5cjUit0gurDV5GoxETJkzAhg0benz85ZdfxquvvooNGzbg4MGDSEpKwoIFC9DW1ubnlfaMZVnUiz0y3Q9kChdzKCOTEEL86/7778eJEyfwySefePxcr732GvLy8jBy5EioVCrcf//9WLFiBeTyjp76ixcvxg033IBx48bh8ssvx7fffgsA2LRpU4/PuW7dOkRGRoq39PR0j9dJCCFkaJEcyLziiitw/PhxXH311UhLS0N0dDSio6MRFRWF6OhoX6wxoJj+Nxn0KpuFHpneKS3XiMN+giOQWdzABXFy4kPBMK79RkRoOtrPtpmlZ6YW6gw4U6OHQsbgirG99xyaksH9zR0qbZb8GiR4NBos+O/JWgDA3XNyAHB/hw9elgcA2LS3zKPhP/lCj1gXh10NZYsXL8bzzz+P66+/vttjLMti/fr1ePLJJ3H99ddj7Nix2LRpE0wmEz7++OMArLa7NosdVjt38SXeg4zMRC+01yCEECLNAw88gK+//ho7duxAWprnPbLj4+Px5Zdfwmg0oqysDOfOnUNYWBiys7N7/ZzQ0FCMGzcOBQUFPT6+Zs0atLa2ireKigqP10kIIWRokTTsBwB27Njhi3WQAHE6WVS1CD0yvVRazgcyTUESyCxvFErvQ13+HIVchjC1AgaLHa3tNkSHShua8c0JLhvzkrw4RGl7/9ypWdH4++4SHC6jQOZQ9t2pWlgdToxLjRSzdAHg2kmp+OOWc6hqacdP5+sxf2SCW88vDLsankiBTE+UlJSgtrYWCxcuFO9Tq9WYO3cu9u7di7vvvjuAq+MIg37C1QrxopQ7vDXwjBBCSP9YlsUDDzyAL774Ajt37uwz0OgOjUaD1NRU2Gw2fP7557jpppt63dZiseDs2bO45JJLenxcrVZDrXb/QhkhhBAiOZA5d+5cX6yDBIiuzQKbg4VCxiDRg+ybzoTSck/78g0UZXz/yaxYaYHeCA0XyNSbbZI+j2XZjrLyCT2XlQsmZ3IZmfl1bdCbbYjQUNnvUPTDmToA3YdCaZRyXDMxFf/YW4ovj1W5HcgUMjJHUEamR2pruazZxMTELvcnJiairKys18+zWCywWDoCgr5s4+KN/phAR0Ym9cgkhBDfW7lyJT7++GN89dVXCA8PF/c3kZGRCAnhKq6amppQXl6O6mruGDM/Px8AkJSUJE4cv/3225Gamop169YBAA4cOICqqipMnDgRVVVVWLt2LZxOJ1avXi2+9mOPPYYlS5YgIyMDOp0Ozz//PPR6Pe644w6/ff2EEEKGFsmBzJ9++qnPx+fMmeP2Yoj/CWXlyVEaKOSSOw30SCwtD5JAppiRKTWQGaJEdasZ+nZppeVna9pQVG+ESiHDgtGJfW6bEK5BalQIqlracaZaj4uHxUp6LTL4GSx27CviGupfPqp7oPKaiSn4x95SfH+6DiarHVqVtLd9lmWRX0el5d50YYsKlmX7bFuxbt06PPvss75eFgCI/THjwqRlkV8oge+R2WCwwO5wem3/QshA1mqy4YujlYgLV+PKscmQyYZCgyIyELz11lsAgHnz5nW5f+PGjVi+fDkA4Ouvv8aKFSvEx5YtWwYAeOaZZ7B27VoAQHl5OWSyjvdrs9mMp556CsXFxQgLC8OVV16JDz74AFFRUeI2lZWVuPnmm9HQ0ID4+HhcfPHF2L9/PzIzM73/hRJCCCFwI5B54Q4S6HpS5nAER/DqQsE660cc9BPlnbJyoGNqebCUlpc1cRPLM2NdLy0HIGZHSs3I/A9fVn7piASEu5BhOTolggKZQ9iewgZYHU5kxmqREx/W7fGJ6VHIjNWirNGE7ed0+FUvw6N6U2+woMloBcMAeQkUyPSEkPFSW1uL5OSO7FmdTtctS7OzNWvWYNWqVeLHer3eZ8MRhIxMT/pjAkBsqBpyGQOHk0Wj0SpmaBISrNrMNtz49l4U8MPRls9sxtqrxwR4VWSoYF2YSrp8+XIxqNmbnTt3dvl47ty5OHPmTJ+f8+mnn/b72oQQQog3SU6RaG5u7nLT6XTYsmULpk2bhu+//94XawwoF2e7DFpCRmaalwb9AB09Mr1RWl7RZMJL/z2Hp788FZA+kGabQ5y6mymxh2hECHedQN/ueiBTSlm5YHRyBADgTI3vyk3JwHWgmJtYf0leXI9ZfQzDYCGf2bsrv17y8wtl5VmxoeJFCuKe7OxsJCUlYdu2beJ9VqsVu3btwsyZM3v9PLVajYiIiC43X2kwWAEAcR5MLAcAuYwRp57raHI5GQL+uqsYBToDlHLuffgfe0txqqo1wKsihBBCCAk+kjMyIyMju923YMECqNVqPPLIIzh8+LBXFkb8Q8zIjPZeRqZawcXHbQ4WTifrdmnVgeJG3LnpEAwWrjT7owNlePWmibh2UqrX1tqfcr4/ZrhGgSittP6TQkZmq4RA5pHyFlQ2t0OrkuNSF/sZjk7hA5nVFMgcin4p5crKp2XF9LrN3OEJeOfnEuw6X99vGfOFxP6YNOjHJQaDAYWFheLHJSUlOHbsGGJiYpCRkYGHH34YL774IvLy8pCXl4cXX3wRWq0Wt9xySwBX3UEY9hPvYSAT4MrLa/Vm1OnNGIfuxw6EBAuT1Y6Ne0oAABtumYz/nqzBl8eq8c7PxXht2aQAr44QQgghJLhIDmT2Jj4+XmwaTQaPjkCm9zIyVYqORF+rwwmNTHoWV1mjEb/94DAMFjsmZUQhLkyNbWfq8MTmE5iYHoWsOGll3u4qbRDKyrWSgj8A1yMTkFZaLmRjLhqT5HL2m5CRWaBrg9Xu7PL9J8GtzWwTA9gXZfceyJyaFY0QpRy6NgvO1bZhVLLrGX006EeaQ4cOYf78+eLHQkn4HXfcgX/84x9YvXo12tvbcd9996G5uRnTp0/H999/j/DwgfH9bTB4Z9gPwPXwBVpR10YDf4j/tLbb8PGBcoSp5Vg6LcMv+8QfzupgtDqQEaPFwtGJSIzQ4Mtj1W73JiaEEEIIIb2TfGR14sSJLh+zLIuamhq89NJLmDBhgtcWNtC40ntmMPJFabla0RGAs9id4vAfV7Esi9X/PoHWdhsmpEfhk99cDJVchv959wD2FjVi/Q/nsd5PGQ5CRqbU/phAp0Cmi8N+7A4nvuH7Y1490fU+hmnRIYjQKKA321Gga8OYFMp8GioOlzXDyQLpMSFIjuz9b1ijlGNGTiy2n9Php/P1kgKZQsuCUckDI9A20M2bN6/P/QXDMFi7dq04WGGgEYb9eCMjM5Ef+FNHpeXET6x2J25/7xccr2gBABwqa/ZLRqRwEfKaiSlgGAYT0iLF3sS78uuxeFxyP89ACCGEEEJcJfky9cSJEzFp0iRMnDhR/P+VV14Jq9WKd9991xdrDKhgbpHpdLKoauEzMiX2f+yL0B8K4E4qpNp8pAoHSpqgUcqw4eZJ0CjlkMkY/O7KUQCAr45Xo4IPMPpaGT+xXGp/TACI0HDXCVwtLd9b1IgGgxXRWiVm58a5/DoMw4jZcoX8kAEyNAh9Y/sqKxfMyeN+p3add71PptXuxHl+YjkFyIcGYdiPNzIyhQE/Oj1lZBL/+PJYFY5XtIj9zb86Vo0DxY0+fU2bw4k9hQ0AgCvGcgO9GIbB/BFce5jd/GOEEEIIIcQ7JAcyS0pKUFxcjJKSEpSUlKCsrAwmkwl79+7FyJEjfbFG4iO6NgtsDhYKGYNEL5y0ChiGEftkWuzSBv6YrHa8tOUcAOChy4YjvVMAcWxqJGblxoJlgc+PVHptvX0pEzMypQcyo7QqAK4HMoWv6VfjU6CUS/vTzE3gplVTIHNoOckPkpiYHtXvtrP5QOaR8mbYHa5dYDhf1wabg0WERuHVrG1/+OCDDzBr1iykpKSgrKwMALB+/Xp89dVXAV7ZwMWyrDjsx9Op5UBHRqaujTIyiX/8Y08pAOCJK0bi1ukZAID3+N6VvnKisgUmqwMxoSqMSurIdp/FX5DcW+TbQCohhBBCyFAjOZC5a9cuJCUlITMzE5mZmUhPT4dGo4HVasX777/vizUSHxHKypOjNFBIDJz1RwhkSs3I3LinFPVtFmTEaHHn7Oxuj980NR0AF/TzR7l/eSPXIzMjRnppeSRfWt7iQiBTb7Zhy6laAMCNU9Ikv1ZOPAUyhxqWZcWJuK5kSw6LC0OERgGzzYlzfN/L/gj9N8ekREruERtIb731FlatWoUrr7wSLS0tcDi4CypRUVFYv359YBc3gOnb7bDyQe7YUJXHz8f1yATqKCOT+EFFkwlnavSQyxgsnZaO22ZkAgC2n9OhxWT12evuLeQClTOGxXYZbjh9WAxkDFDSYERtK/0NEEIIIYR4i+To1YoVK9Da2trt/ra2NqxYscIrixqIgrFDpjjoJ8p7ZeUCFd8n0yIhkNlstOLtnUUAgEcXDu+xQf/C0UlQK2SoaGpHfp1rwRh32R1O8XvkXkYmP7XchROoPQUNsNidGBYfivFp0kt4KSNz6KnTW9BgsELGdAx86otMxmBiRjQALivTFaerhUCp6z01B4I33ngD77zzDp588knI5R09eqdOnYqTJ08GcGUDW72BC7aEaxSSexv3JIF6ZBI/2n5OBwCYmhmNKK0KI5MiMCIxHDYHi535rrfUkGofX7o+Iye2y/0RGiWGJ3JtX45Xtvjs9QkhhBBChhrJgUyWZXvMzKmsrERkZPD1UBtMWUhS+WLQj6CjtNz1QOabOwvRZrFjVHIElozvedhNiEou9o/88azO84X2obrFDLuThUohQxLf602KKAkZmcKJ0Jy8eLd+54RAZmmj0eWyYTK4CdmYuQlhLk+4n8SXoB8tb3Fp+9NCRmbq4ApklpSUYNKk7gM+1Go1jEZjAFY0ONS3ea+sHOjokdlotMBG70vEx34u4HpRzh+ZIN4n/P+nAt8EMp1OVhwsNCUzutvjwoXJExTIJIQQQgjxGpcDmZMmTcLkyZPBMAwuu+wyTJ48WbxNmDABl1xyCS6//HJfrpV4mZiRGe39jEyppeUVTSZs2sv1sVt9xYgu5VkXunQUd2Ly49k6D1fZt7Imoaxc2+d6ehMpZGS222BzOPHxgXIcLmvqcVshKNXTiZArUiJDEKKUw+Zgxb6eJLid4rMlx6a6fgFpcqbrGZlOJytOLB87yAb9ZGdn49ixY93u/+9//4vRo0f7f0GDRAM/sTzOCxPLASBGq4JCxoBlO56bEF9gWRbHKroPP7uE7w38c0GDT9rRFDcYYbQ6oFHKkMdfUOxsfFoUAOBEZfdKJkIIIYQQ4h6Fqxtee+21AIBjx45h0aJFCAvrOGBTqVTIysrCDTfc4PUFEt+p4DMyU32QkamSOOznpS3nYHU4MSs3FvOGx/e57Tx+EujxylYYLHaEqV3+NZbEk4nlQEePTJYFPj5Qjme+Po0wtQKHn74cakXXDDpPStgBrmx4WHwoTlfrUagziD0zSfASgt9SgowT+ZPqskYTGgyWPgNWJY1GmPgT9GGD7Pfp8ccfx8qVK2E2m8GyLH755Rd88sknWLduHf7+978HenkDVj0/lMdbGZkyGYP4cDVqWs3Q6S1IjhxcA6PI4FHZ3I4GgxVKOdOlFcaUzGioFDLUt1lQ3GD0+r7xZFULAO59uKde4xM6BTJ7q2gihBBCCCHSuBwBeuaZZwAAWVlZWLp0KTQa6aW2g1oQNskUAnUZbgbq+iIlI/OTX8rx7YkaMAzw5JWj+z3QT40KQVp0CCqb23GkrBlz+gl8uqucz2zMcDO4qFbIEaKUo93mwA989qjBYkdxvRGjOvU0tNgd4lTf1Cj3T/RzE8LEQOaiMW4/DRkkTlVx2ZLjJPRUjdQqMTIpHOdq27CvqBFLJvTcwgHoKCsfmRQBuRsZyYG0YsUK2O12rF69GiaTCbfccgtSU1Px2muvYdmyZYFe3oAlZE3GeykjEwASIjSoaTXTwB/iU0f58u5RyRFd+rtqlHKMS43E4bJmHCtv8XogU8i07O19eERSOBQyBq3tNtS0mpHiwT6eBKeWlhb8+9//RlFRER5//HHExMTgyJEjSExMRGpqaqCXRwghhAxIkntk3nHHHUMqiBmsF89tDieqWzzLAuyL2sVhP09+cRJrNnPDN66dmIrRLg4VuSibKx07UNLowSr7VsZPLHc3IxPoGPizt6hjnUL2paCmhTvB1yhliPFgUrBwglbaQD0Ag12LyYpaPjA0Milc0ufO4nvM7ub7yfVGmFju6t/kQGG327Fp0yYsWbIEZWVl0Ol0qK2tRUVFBe68885AL29A83ZGJgAk8s9V10al5cR3TvI9KCfyfYA7E3oDH+ODnd59XS6Q2duQPpVChuy4UADAeR8PKCSDz4kTJzB8+HD88Y9/xJ///Ge0tLQAAL744gusWbMmsIsjhBBCBjDJgUyHw4E///nPuOiii5CUlISYmJguNzI4VDW3w8lywbMEL560ClQuZGTWt1nw0YFy8ePnrnE9jfDibG466C8lPfec9AaxtDw21O3nEMrLHc6OlN7a1q6BzCo+oJwaFeJR2ZkQkBbWTYLX+TpuOn1qVAjCNUpJnzub7xm3u7DvnnFCf8zBNrFcoVDg3nvvhcXC93uMi0NCQkI/n0WAzj0y3b+gciFh4I+OMjKJDxXouPfEkUnd368mZXC9gY9W9N8bWAqHkxUz18elRvW6nTC5vIB/3yZEsGrVKixfvhwFBQVdkkQWL16Mn376KYArI4QQQgY2yYHMZ599Fq+++ipuuukmtLa2YtWqVbj++ushk8mwdu1aHyyR+MK5Wu7gOzsuzCc9m9Qu9MgUenQCwMs3jpcUkBEyMo9XtLrch1MKlmU9Li0HOjIyO2s2dZ1iXsVnaKZ6OHQpiw+4ljZSRmawEzJ78hKll0lOz46BSi5DVUs7SvrI3hUzMpMHVyATAKZPn46jR48GehmDTr3BBxmZEXxGJgUyiQ8JQcKe3hMnZUQBAM7WtMFs897xQnmTCe02B9Sdsi57IqwpnzIyyQUOHjyIu+++u9v9qampqK2tDcCKCCGEkMFB8pSUjz76CO+88w6uuuoqPPvss7j55puRk5OD8ePHY//+/XjwwQd9sc6AY4OsSWYhn73gqyCFKxmZLSaruO2vp6RJev7MWC2itEq0mGw4X2uQ1CfQFfUGC0xWBxgGSPNgGFJCePc2DE1Ga5ePKztlZHpCCGTq2iwwWe3QqnwzBIl0d6KyBX/7qRgquQwrL831+bClAv6EWMj0kUKrUmByZhT2FzdhT2FDj4N8dG1mNBgskDE9ZzgNdPfddx8effRRVFZWYsqUKQgN7RpkGD9+fIBWNrA1tHHvTd6aWg50vAfqqLSc+IjRYhcrG3J7eD9LjtQgNlSFRqMV5+vaxEninhIuKOUmhPXZR3iEmJFJgUzSlUajgV6v73Z/fn4+4uN90/+dEEIICQaSMzJra2sxbtw4AEBYWBhaW7n+QL/61a/w7bffend1A0CQtshEk5HLCowL914JYWcdGZm9BzJNVi4zYlJ6lOSsUIZhMC6VC14e53tjeVM5X56dEhnSbcK4FFk9ZGkIAVyBkJHpScAU4Aa5CBmgVF7uPycqW/Drt/fhmxM12Hy0Ctf93x7x98dXhNLyvAT3AqaX5HEnSD/30ifzSBlXgpmbEIYQlfu//4GydOlSlJSU4MEHH8SsWbMwceJETJo0SfyXdMeyLBqNQmm5N4f9CBmZFMgkviFcmI0LUyO6hz7TDMNgZDIXTDxb0z1o5C5XLyjl8Y+frzPA6Qyui+LEM9dccw2ee+452GzcMTnDMCgvL8cTTzyBG264IcCrI4QQQgYuyYHMtLQ01NTUAAByc3Px/fffA+DKI9Rq7/daJL4hBNOitb4JZKpcCWRauECm1s1AidBcX2i2700d/TE9K/ce1imQmcU/V9OFpeUt3Gt5GsgEOvp5llF5uV84nCxW//sELHYnLsqOwdjUCOjNdqz54oRPX7dA535GJtAx8GdfUSPsju5/oz+e1QEAZgyLdXOFgVVSUtLtVlxcLP5Lumsx2WBzcEGWWOqRSQYRoT9mXxd2RvGZ5WdrvJcVKVxQ6u99OCtWC6WcQbvNgeoLemSToe3Pf/4z6uvrkZCQgPb2dsydOxe5ubkIDw/HCy+8EOjlEUIIIQOW5NrT6667Dj/++COmT5+Ohx56CDfffDPeffddlJeX45FHHvHFGokPNIuBTGmDQlzlytRyk9UOANCq3SuBFsrDfJGRWdbknUDm3OHxCNco0G51YOm0DPxxy7luGZnCFHNPS8sBbsL68YoWysj0k29OVONcbRsiNAr87bYpaDPbcdkru7CnsBH7ihoxI8f7gcAmoxUNBu53KNfNjMxxqZGIDFGitd2G45WtmJIZLT5Wpzfjq2PVAIBfTUjxfMEBkJmZGeglDDrCoJ/IEKVHWegXEgKZjUYrrHaneJGLEG8RLuz09X44im+jc8aLGZnnxYzMvt+HFXIZ0mO0KK43orTBhDQP+2GT4BEREYHdu3dj+/btOHLkCJxOJyZPnozLL7880EsjhBBCBjTJEaSXXnpJ/P+NN96I9PR07NmzB7m5ubj66qu9uriBpI/hvoOSMHAmyscZmX31yDTypeWhHmZkFugMaLc6vFoCW85nNGbEuD+xHACiQ1X470OXwGxzisHjNrNdfNzucKKmlctUSvVCRqaQ9VlKgUy/+OhAOQDgf2dnI0qrQpRWhV9PTcNHB8rx4YEynwQyhXLGtOgQhLp5EUAuYzA9Owbfn6nDodKmLoHMfx+uhNXhxNTMaEzLivHKmv3t/fff7/Px22+/3U8rGTzq27w/6AfgLpYp5QxsDhb1BotXLtgQ0pnQymNYfO/7a6G0/FyNHizLejzk0O5worieO05wJTM+OzYUxfVGlDQaMTsvzqPXJsHBbrdDo9Hg2LFjuPTSS3HppZcGekmEEELIoCHpLNhms+G3v/0tnn76aQwbNgwANx12+vTpPlncgOCDid4Dga9Ly12ZWi5mZLo5lCYpQoP4cDXq2yw4U6PvEozxlLcyMgGI2RdCb67OgcyaVjMcThYquQyJPQwGkopKy/2ntMGIX0qawDDATVPTxftvnZ6Jjw6U4/vTtWgyWhHTQ882T5zXuVbO2J+pWdH4/kwdDvP9MAXCx1eNT/bo+QPpoYce6vKxzWaDyWSCSqWCVqulQGYPhInlcV4sKwe4nm8J4RpUtbRDpzdTIJN4XTm/v07vI9MxNyEMChkDvdmO6lbPfw9LG02wOpwIUcpdei6hX3ZZA+2bCUehUCAzMxMOR+/HyYQQQgjpmaQaL6VSiS+++MJXayF+JGRk+qq03JWMTGHYj7s9MhmGEaeun6v1XrkY0NEjMyPGeyVgYXz2nMHS0SOzopl7ndToEMj6mHrqqqw4br1UWu5735zgyq9n58YhpdOJ7OiUCIxJiYDNweKHM3Vef10hI9PdQT8CIfB/pLwZbKeU8zPV3N+SMExrMGpubu5yMxgMyM/Px+zZs/HJJ58EenkDktCuwJuDfgQ08If4khDIzOjjwqNaIRdLz89We368IL4PJ4a5tO8WApmldJGRdPLUU09hzZo1aGpqCvRSCCGEkEFFcrOq6667Dl9++aUPlkL8xeFkoTf7trTcpR6ZHg77ATqXi3mvgX+b2YYmI3dS742MTEG4hgtkmm1O2PgBK0V8dp23XkfIyKxubYfZRlf5fWlHfj0AYNGYpG6PCfd9f6bW6697XjyB9iwjc0xKJFRyGRoMVjEQ4HCy0LVxrQ76CgoMRnl5eXjppZe6ZWsSjq9KywGI2ebC7xYh3tJqsolVDn1lZAId75mF9QaPX1cY9JOX4Nr7sND2pYQyMkknr7/+On7++WekpKRgxIgRmDx5cpcbIYQQQnomuaY3NzcXf/jDH7B3715MmTIFoaFdexI9+OCDXlvcQBJMPTJb223i1xPls2E/LmRk2oRApnul5QAwMokPZHoxI1PIZowNVSFc473vT+d+hkaLHVFaFXadbwDQMbjIU7GhKoSpFTBY7KhsNiHXxZMsIk2z0Yqj5VwJ9vyRCd0eXzA6Ea9uO4+fCxpgsto9+h2/UIE4KdezjEyNUo4xqRE4Wt6CZ/9zBn+4diyUcgZOFpAxQGyo9wNagSaXy1FdXR3oZQxIDWJpuQ8CmWJGJgUyiXcJF2Hiw9X99snOjefeM4X3UE+c17k26EeQxV9krGhqh8PJQu6FCoy+mG0OnK5uRV5iOCK8eBxDvOvaa68N9BIIIYSQQUny2fXf//53REVF4fDhwzh8+HCXxxiGCbpAZjB2yBT6Y4apFVDKfTNBVuVKj0wLl0URqvYgIzNJKC1v80oDf8C1MjV3KOUyaJQymG1OtJntaDBY8cNZrvT46gne6UfIMAzSY7Q4W6NHRVP7kAhkmm0OfH6kEkaLHddNSvNJRtmFfiqoh5PlAuk99UcT7q9qaceBkibMH9E92OmORoMFjUbPJpZ3NiUjGkfLW7D9nA4lfz+ADbdMAgDEhKp8fqLtS19//XWXj1mWRU1NDTZs2IBZs2YFaFUDmxDIjPdJaTmXkUml5cTbxP21C21g8vigozcyMguFjEwXA5kpUSFQyWWwOpyobmlHuhfb1lyovs2Cm/66DyUNRsSEqvDxb6aLx0pkYHnmmWcCvQRCCCFkUJIcyCwpKfHFOogfdUws991V+o5hP/33yAzxIFstJ55r4N/mpQb+QEdGZqYPTjTCNUqYbRa0me3YW8RlY84ZHu/VgGN6dAgXyGwO/j6ZZpsDy/62H8cqWgAAf/upBF/cN9OnJ4kAsKeQ+9nNHRHf4+MMw2BWbiz+eagS+4savRbIFMoZ02NCvJLlecOUNGzaVwqbg0VJgxFH+EE/vsjK86cLs1wYhkF8fDwuvfRSvPLKK4FZ1ADny9LyBP45dW0UyPS28kYTfiqox+zcOLEP41Ai7OfSo/vf9wsXf4p0Bo8ufDqcLEr4Xpe58a7tu+UyBukxISiqN6K00ejTfdTTX54SS9ibjFas+uw4vnlgtlf6cBNCCCGEDARup+NZrVbk5+fDbrf3vzEZUHw9sRzolJFp6yuQyWdketAjU6WQIYcvFztX453y8vIm7gQgI9b7J4Xh4sAfuzhUZaoXp60DHVPSK5qCP5D5lx/O41hFCyI0CqRFh6DBYMGj/zzeZXiNLxws5QJ+F2fH9rrNzJw4AMDeokavvW6BUM7opcD3qOQIHHzycrF/24ESbuCAP7JafcnpdHa5ORwO1NbW4uOPP0Zy8uCdxu5Lvi0t53tkUmm5VxXq2nDV6z/jqS9P4arXfxYH0AwlUjIys2JDIZcxMFjsHmUHVzW3w2p3QqWQIdWFAKogWxj448M+mQV1bdhyuhYMA3x013SEqxU4U6PHjnydz16TuE8mk0Eul/d6I4QQQkjPJAcyTSYT7rzzTmi1WowZMwbl5eUAuN6YL730ktcXSLzPPxmZ3AGY1eFKRqZnB2viwJ9a75zE+TIjM0zTMbm8lj+p9+ZAIYDL1gO4XlzBrNFgwT/2lAIAXrlpIj797cXQKGX4pbQJ28/57qStvs2CkgYjGAaYnNF7EHpGDhfkPF3ditZ2W6/bSVEgljN6L4M3SqsSn+9oeQuAwR/IfO6552AydQ/kt7e347nnngvAigY2p5PtmFoe7v0LXIliaTkFMr1p3Xfn0Ma3aDFaHXjhu7MBXpH/CRfsXMlwVClk4n69UOd+eXkRX5o+LC5UUgsOYY2Vzb7bN//zUAUAYMGoRMzKjcPSaekAgM8OVvjsNYn7vvjiC2zevFm8ffbZZ3jiiSeQnJyMv/3tb5Kea926dZg2bRrCw8ORkJCAa6+9Fvn5+V222bx5MxYtWoS4uDgwDINjx471+7w2mw3PPfcccnJyoNFoMGHCBGzZsqXbdm+++Says7Oh0WgwZcoU/Pzzz5LWTwghhEghOZC5Zs0aHD9+HDt37oRGoxHvv/zyy/HZZ595dXEDCYvgmfbjj4xMjZL71eprcrYQyAz1sES2c59MbxACmVlxPghk8hmZbWa7GFCODPFuQFmY3BrspeUfHSiHxe7E+LRIXD4qAWnRWtw+IwsA8I+9pT573UOlXNbiiMRwRPZxMSAxQoNh8aFwssBBPtPRUwUSB0y4Ko3PKqpq4U6wfdEn0Z+effZZGAzdAxUmkwnPPvtsAFY0sLW02+Bwcvs4Xwx5Eob9NJtsffZNJq4rbzThx3M6yBhg4/JpAICd+fUobwzu9/0LCe9ZrmZGCuXlhTr3jxfEQGa8tKqNNB/vm1mWxXcnawEA109OBQDcODUNALDzfD3arfS3N9Bcc801XW433ngjXnjhBbz88svdej33Z9euXVi5ciX279+Pbdu2wW63Y+HChTAaOzKAjUYjZs2aJSnx5KmnnsJf//pXvPHGGzhz5gzuueceXHfddTh69Ki4zWeffYaHH34YTz75JI4ePYpLLrkEixcvFpNdCCGEEG+THMj88ssvsWHDBsyePbtLf6HRo0ejqKjIq4sbCLwwO2bAaRYDmb7LyNQouSzLvgKZRr60XOtpRqYwudwLpeUWuwPVrdyJUUaM90vLwzqVlrf6KKDsj6yPQGNZFl8erQIALJ+ZJb4X3XZxJhgG+LmgwWel9UJZ+dSs/lsCTMuMAQAc4Sece0rIIvLGoJ/OLuwtGxvmu4sc/tBb/7vjx48jJiYmACsa2ISy8iitUmwL4k2RIR3Pq6OBP17x3akaAFzm9/yRCZiVy2WAbz1dG8hl+RXLsqht5bJ8UyKlBTILvJCRKbS1cZXQx9NX++bT1XpUtbQjRCnH3OFcX+YRidzgOavdiX3FDT55XeJ906dPxw8//CDpc7Zs2YLly5djzJgxmDBhAjZu3Ijy8vIug1lvu+02/P73v8fll1/u8vN+8MEH+N3vfocrr7wSw4YNw7333otFixZ16Tf96quv4s4778Rdd92FUaNGYf369UhPT8dbb70l6WsghBBCXCX5jKW+vh4JCd0HVxiNRq9MjCa+11Fa7rtghTDsx9xnj0wuyKlVe5aRKUwNLW00wt5HKbsrKpvbwbJccDXOB8EcsbTcbEdLu29K/IXsutZ2G/Rm75Q0DzRnavQobjBCpZBhwehE8f70GK3Yt/K7kzU+ee1DZVx25bSs/gNikzKiAHgnkNlstIrlv1JPoPuTcmEg0wdZef4QHR2NmJgYMAyD4cOHIyYmRrxFRkZiwYIFuOmmmwK9zAFHHPTjo0xchmFo4I+XCQHLK8dxPV8vH8W9Dw6lXoh6s108jkiK1PSzNacjI9ODQKaOy3CT+j7s6/7V+/h+zDNzYsWWPQzDYB4/lG5nfr1PXpd4V3t7O9544w2kpaV59Dytra0A4PHFO4vF0qUCDwBCQkKwe/duANzMhMOHD2PhwoVdtlm4cCH27t3b63Pq9fouN0IIIUQKyRGkadOm4dtvv8UDDzwAAGLw8p133sGMGTO8uzriE0JpeUyoL0vLuYPo3qaW2x1OWPnHPBn2A3CZGCFKOdptDpQ1mTwK8ghleRkxWp8E5oVhP01Gq3gC5u2AcqhagZhQFZqMVlQ0mTAmJdKrzz8QbD3FncTPGx6PcE3XQPCV45Oxr7gR352swd1zc7z6umabQxzS1Fd/TMFkfpDT8YpW2B1OKOTuZ7sV8llAqVEhCPUw+H+hboHMQZqRuX79erAsi//93//Fs88+i8jIjt99lUqFrKws2k/1wJeDfgSJERpUNrfTwB8vMFntOFnJBSnmDueCVPNGJODZ/5zBwdImmG0OcR8czIRszGit0uWvV5xcXu9+ILO4wb2MzDS+f3WzyQaDxS5WaHjLgRIukDl9WNfA1ezcOHx0oFysJiADR3R0dJdjTZZl0dbWBq1Wiw8//NDt52VZFqtWrcLs2bMxduxYj9a4aNEivPrqq5gzZw5ycnLw448/4quvvoLDwR3DNjQ0wOFwIDExscvnJSYmora25wzxdevWUZsXQgghHpF8FLVu3TpcccUVOHPmDOx2O1577TWcPn0a+/btw65du3yxxgHBx0OQ/arJyAUyfTnsRwxk9lJabup0v6fDfmQyBjkJoThVpUdBncGjQGZZI5dp4e0BPAIh6CZMWpUxHcFNb0qPDuEDme1BGcj8uZArkROykDq7YkwSfv/VKRyvbEVtq9nlTB1X5Ne2we5kEaVVipmvfcmND0O4WoE2ix3natswNtX9n0XHoB/vZmMCQEpU1+/RYM3IvOOOOwAA2dnZmDlzJpRK373HBRMhIzPOh0OehD6ZNPDHc0fLW2B3skiJ1IhZflmxWsSFqdBgsOJ0tR5TMvu/0DLY1fBtYJJcLCsHOoKPDQYrWkxWyRcSW0wdmfFSe2RGaJSIDFGitd2GquZ2jEjy3tA2h5PFL3wv5ul8VYJAuKCWX6v3SQCVuO8vf/lLl0CmTCZDfHw8pk+fjuho9/+G77//fpw4cULMmvTEa6+9ht/85jcYOXIkGIZBTk4OVqxYgY0bN3bZ7sKL/721eAG4eQurVq0SP9br9UhPT/d4rVQYSAghQ4fk9KCZM2diz549MJlMyMnJwffff4/ExETs27cPU6ZM8cUaA4pB8O0VW/jScl9mZIql5b0MdjBZuPsVMgYqD7LUBHkJ3AmBJ1kWAFDGBxgzY73fHxMAIkK4EwghkBmlVUEmYeqpq9LEPpnBN/ihzWzDCT4baWZubLfH48PVGMcHDHcXercn2Klq7nXHpUa6lLErkzGYyJeXH61o8ei1hUE/eV7ujwkAcaFqKOUdX89gzcgUzJ07Vwxitre3UwlbP+oNvi0tB4CEcH5yOZWWe0wIWE3L7si8YxgGE9O5wMdRL/XkHeiEjMxkCRerQtUKsSewO+XlRfVG8TXdyYxP57MyvV1enl/bBr3ZjlCVHGNSIro8lhihQWpUCJwscNzD/ZBUbDBlAfjApZdeittvvx133HEH7rjjDtx222244oorEB0d7fagnAceeABff/01duzY4XF5OgDEx8fjyy+/hNFoRFlZGc6dO4ewsDBkZ2cDAOLi4iCXy7tlX+p0um5ZmgK1Wo2IiIguN0IIIUQKtyJI48aNw6ZNm3Dq1CmcOXMGH374IcaNG+fttREfETIyfTu1nMuytDlYcRpuZyZ+0E+ISu6VEm5v9L0CupaW+0LEBRmZUV6eWC4QJpcH48CfA8VNcDhZZMVqxWykC12SFwcA2F3g3Z5gp6q4QKaUzMpJ6VEAgKNlngUXhN9tIWjvTTIZg5BOpZm+vMjhDyaTCffffz8SEhIQFhaG6OjoLjfSVUMbt0+IC/fdzz2BMjK9Rui5O/WCPr2TvHTRZLCo4QOZUrPuheOF83XuBDLdm1guSIvyzUXGE5UtAIAJ6VE9tjARsjIPe7gfcpXN4cRj/zqOEU9twYqNv8BgsfvldQeb7Oxs1Nd3P05pbGwUA4WuYlkW999/PzZv3ozt27dL/vz+aDQapKamwm634/PPP8c111wDgGvbMmXKFGzbtq3L9tu2bcPMmTO9ugZCCCFE4FYg0+Fw4N///jf+8Ic/4Pnnn8fnn38Ou50OUgYDlmXFjMxon/bI7PjVsvSQlSn0hwxVeafESSgXE7LW3FXKl5Zn+SgjUygtbzNzfy++Ku8Xyp59NVQgkPYUcVmWM3Pjet1mdi7XN253YSOcPQTS3XVSCGRKKNcXMjJP8J/rLqG0PNcHpeUAYO/0fRrs/fUef/xxbN++HW+++SbUajX+/ve/49lnn0VKSgref//9QC9vwKn3R49MPiOznjIyPXa2htvPjb0g8064wHKuZmhkHQsZmUkR0gKZeR5c+HR3YrlA3Dd7+SLjab5387heLrJNSIvkt/NsP+SqDdsL8e/DlbA6nNiRX4/n/nPaL6872PSWsWowGLoN2OnPypUr8eGHH+Ljjz9GeHg4amtrUVtbi/b2jt+1pqYmHDt2DGfOnAEA5Ofn49ixY12yKW+//XasWbNG/PjAgQPYvHkziouL8fPPP+OKK66A0+nE6tWrxW1WrVqFv//973jvvfdw9uxZPPLIIygvL8c999wj6WsghBBCXCU5inTq1Clcc801qK2txYgRIwAA58+fR3x8PL7++uugzcwMluIYo9UBKz/ZO9qHPTLVio5AiNnmxIXJn0b+6rxW7Z2AidA3sEhnhNPJulWu7XSy4smFr3pkCqXlAl9Njk/nM0orgrC0XMgouXhY97JywZTMaIQo5WgwWFCgM3ilF5nF7kB+LRdA6O1ksSdCcKGo3gCT1Q6tG8F7vdmGWj6TLdcHpeUA12/06+PVGJ08+Eu8/vOf/+D999/HvHnz8L//+7+45JJLkJubi8zMTHz00Ue49dZbA73EAaVBmFru0x6ZfGk5ZWR6pL7NggaDBQyDbu9rIxK5j0sbTbDYHV32w8GoRu9eRqZwvODOhU93J5YL0n3U9kVoezI6pef3b+F9XQiC+1Kb2YZ3d5cAAJZNS8enByvwr8OVeODSPPHrH+qE/pAMw+D3v/89tNqO74vD4cCBAwcwceJESc/51ltvAQDmzZvX5f6NGzdi+fLlAICvv/4aK1asEB9btmwZAOCZZ57B2rVrAQDl5eWQyTqSEcxmM5566ikUFxcjLCwMV155JT744ANERUWJ2yxduhSNjY147rnnUFNTg7Fjx+K7775DZmampK+BEEIIcZXkM+q77roLY8aMwaFDh8QSvebmZixfvhy//e1vsW/fPq8vMpCEbMKfvVyi6qlmoxVtZjvSY0IklWY382XlaoWsSympt8llDJRyBjYHC3MPA3+EYT9aDwf9CDJjtFDKGbTbHKhube+15LgvtXozrHYnFDJGUs8tKSIumLDt64zM6pbgChqYbQ6c5bONhJLtnqgUMkzKiMLeokYcKmvySiCzoM4Am4NFZIhS7HPmioRwDRLC1dC1WXC2Ro8pmTH9f9IFhMyhxAh1t98hb/ntnGFobbfh7jnDfPL8/tTU1CSW1UVERKCpiespOHv2bNx7772BXNqA1OCHHpkdw34oI9MT52q597/s2NBuF0W49wcF9GY7iuuNGBUEFyX6UssP+5G6v87l23O4k5Hp7sRygbBv9mbbF7vDKe4Xe2t7MpL/XShvMqHNbBOrQ3zhi6NVMFjsyE0Iw7rrx6GyuR27Cxvwr8OVWLVguM9edzA5evQoAC4j8+TJk1CpOi5qq1QqTJgwAY899pik53SlH+ny5cvFoGZvdu7c2eXjuXPnihmcfbnvvvtw33339bsdIYQQ4g2SA5nHjx/vEsQEgOjoaLzwwguYNm2aVxc3ELy3h7uqbLY5A7wSjsPJ4vlvz+D9fWVwOFnkxIfiz7+egEkZrvV9E/pjxoSqvNKbsi8ahRw2h73nQKZFCGR6p7RcIZchKzYUBToDCnQGtwKZZXx/zLTokB57THlDxAU9MaNCfJORKWQ/GSx2GC12t4YSDERnavSwOVjEhqr6nRo+NSsGe4sacbi0GbdO9zwrQCwrT42Q/LczNjUS28/p+GnC7gcyfdEfUzA2NRKb/vcinz2/Pw0bNgylpaXIzMzE6NGj8c9//hMXXXQR/vOf/3TJIiFcJnojv1/wZUamMOyntd0Gs80x6NsXBIoQsOopSMkwDEYkheNgaTPO17UFfSCzxo1hP0BHVntNq1lSUM/mcIp9tHMS3Gs/I1ZLeLHtS3GDEWabE6EqObJ7aYsTE6pCYoQadXoL8mvbuvVX9aatp7ky5aVT08EwDG6ckobdhQ347mQNBTJ5O3bsAACsWLECr732Gg27IYQQQiSSHK0ZMWIE6urqut2v0+mQm5vrlUUNJBVNHVfNB8L0xZe3nMPGPaVwOFnIZQyK6o245Z0DLmeMCuWpiRJ7SrlDzZ+oWuzdg8DCsB9vZWQCncvL3Rv4U97ElYxl+Kg/JgBEaLoGFH1V3h+mViCU/97qgqgn3bHyFgDAxPSofoOJU/nhBgfLmrzy2u70xxQIU2RPudknUwhk+qqsPNisWLECx48fBwCsWbNG7JX5yCOP4PHHHw/w6gaWZpNVHMjmyyFPESEKqBXcIYeOsjLdJpQGj+wly3w4X15+rtb3JcSBZLDYxV7TSZGuZ8gDQGSIUswQlpKVWdZogt3JQquSS+7LKRAmpuvNdrS229x6jgsJfS9HJUf02VZHCGyf9eHvRmu7DQeKuX3ugtHcxOr5IxIgY7jvdXVL8A0g9MTGjRspiEkIIYS4QXKa1osvvogHH3wQa9euxcUXXwwA2L9/P5577jn88Y9/hF7f0WQ+GHbOD16Wh9d/LAAANBqtPh2G0J9TVa3428/FAID1Sydi/sgEPPjJUew6X497PzyCbx+cjcx+gnDuNsd3hzDwp8eMTC8P+wGA3HjPJpcLGZmZPuzhdGHmh69KywEuWF3cYESd3ozsON8FZ/3pGD+Nd2IfZeWCSRlRkDHcxYg6vdnj4P1pNyaWC8bwwc9TVe4N4Sio404883w06CfYPPLII+L/58+fj3PnzuHQoUPIycnBhAkTAriygafBwGVjRmuVUPooEx3gsgUTIzQobzJB12ZGho/6EAc7oU/vyF6yLYWLHSX1Rr+tKRCEY5lwtQJhblQc5CWEo07P9VB2taKl88RydytaQtUKxIaq0Gi0orLZhMgQ6fuTC53hB/2M6aU/pmBUcgR25teLWb2+sLugAXYni9yEMGTxxx2RWiUmpEfhaHkLfjpfj2UXZfjs9QejgwcP4l//+hfKy8thtVq7PLZ58+YArYoQQggZ2CSftfzqV7/CmTNncNNNNyEzMxOZmZm46aabcOrUKSxZsgTR0dGIiorqUno+mN0/vyPL1N1MP2/5vx2FYFlgyYQUXDspFZEhSrxz+1RMy4qGwWLH3R8c7jFo2JlQiiW1Ob47hOybnsryhUCmNzMyczyYRAp0CmT68ARbdUFvUl9Ojk8Qe9IFT59MMZDJTwLvS7hGiZFJ3IndodJmj17X5nCKWSxSBv0IhBPMQp0BNof0NhUFfigtDxY2mw3z58/H+fPnxfsyMjJw/fXXUxCzB/V+GPQjoD6ZnmFZFqWNXIByWHzPF6ey+IuZwnbBqtbDY5lcN44XPJ1YLhAnlzd5JzuxiA9a5yX2vX8QhkG5e4zkioOlXDbmzJyuw/hm5cQBAA6VebYvDjaffvopZs2ahTNnzuCLL76AzWbDmTNnsH37dkRGeh7kJoQQQoKV5MvYQl+XoUKlkGHeiHjszK9HYb0B0/uYlOxLlc0mbOH7Dj1waUdwVaWQ4fWbJ+FXr+/Gudo2/Od4NX49Nb3X53G3Ob47NGJpeU8ZmT4oLeeDPAU6A1iWlZwxUcaXlveX1eqpiBAF2vmAc7SPppYDHe0DgqWMs9loRTnfV2x8apRLnzM1KxpnavQ4XNaMq8Ynu/3a5+vaYLU7Ea5WIMONjN206BCEqRUwWLghHFKGDxksdnEwRB6VlvdLqVTi1KlTPu8B7K61a9fi2Wef7XJfYmIiamtrA7IeYdCPP6oNEmhyuUd0bRaYrA7IZQzSe+kDLVyIK28yubUfHCzqPGyTI04ur3O9zFqYWD4szsNAZowWxytbUeWlMuvOmaJ9ER4v9mG27mE+UDkls2sywyT+4qNwMZJwXnzxRfzlL3/BypUrER4ejtdeew3Z2dm4++67kZzs/jELIYQQEuwkBzLnzp3ri3UMaLnxYVwgM4AZmf85XgOWBWYMixV7YAmSI0OwYlYW/vz9eXx+pLLPQKYQEEmOktZTyh1CILOnjEwjP+wnxIul5Vy5F9ejqcFglZRhxLIsShu4IFmWj0seIzRKMSPJ16XlgG+DBmeq9civ02PGsDifZ/me5af1ZsZqEeni921CWhSAMpyobPHotYXelmNS++5B1huGYTAyKRyHyppxrlYvKZCZz3/dSREan2bwBpPbb78d7777Ll566aVAL6VHY8aMwQ8//CB+LJcHbvCNkJHpl0BmePBlifuTEIBKjw6BStFzQU1atBYyhqt6qDdYxCFLwaaeD8AnuJlJ3PnCp6sKdFzQc7iHLT46MjI9H/hjsTvE58ntJ1N0GP94g8GCVpPN5f2oq0xWO87wZesXDhMS2sEU1RugN9sQ4cOp6YNJUVERrrrqKgCAWq2G0WgEwzB45JFHcOmll3a76EUIIYQQjltRJLPZjBMnTkCn08Hp7Bqkuvrqq72ysIHEnRIkb/v6eDUA4OqJKT0+ft3kNLyy7Tz2Fzfh6S9P4blrxnTLxGBZFoViaZTveyYKpeU9ZWQaLFyT+3CN9wKZGqUc6dFalDeZUKgzSApkNhisMFjsYJiOqaK+Eh+uFk+efJmRKQYNfDTs5/92FOJPW/MBAKEqOf52+1TMyo3zyWsB/Q+56MmEdL43ZXUr7A6n29Pohd6W7pSVC0Ymc4HMMzV6XDMx1eXPE7/uZCord5XVasXf//53bNu2DVOnTkVoaNf3u1dffTVAK+MoFAokJSUFdA0CXZuQ2eb7QKYw6MRbmWhDTUkDF8jM6qPnsUohQ0pUCCqb21HWaAreQKaHLRGE7PbK5naYrHZo+7mo6nSyOM9nbw6XsA/qSRqfTStcWPZEWaMJTpbrFdrf9yJMrUBShAa1ejOKGgyY7GJvUFcdq2iBw8kiOVIj/q0LYsPUSI8JQUVTO05UtGJ2nu+OFQaTmJgYtLVxv1epqak4deoUxo0bh5aWFphM3ptsTwghhAQbyVGkLVu24Pbbb0dDQ0O3xxiGgcPRd4/GwUgIZAaqR2ZFkwlna/RQyBgsHtvzyW9qVAjumZuDt3YW4YP9ZbhhSlq3gSiNRitaTDYwjOc9nlzRkZHZ/XdCmDZ64RRvT+UlhPGBzDbMyHG9DYDQTywlMkRct690zqRxN5vEFb4s49yZrxODmMmRGtS0mnHfR0fw46NzfZbZdY7P9BD6XrpiWFyYWNJdoDOIU1ulOunBoB+B8NrnaqRNjD1XK/3rHupOnTqFyZMnA0CXXpkABkSpbUFBAVJSUqBWqzF9+nS8+OKLGDZsWK/bWywWWCwdFyQ6D9XzlJAd7ukwLFcIF4m8kYk2FAn7qf6Gt2XGasVA5rQLMuOChaeBzOhQFeLCVGgwWFGkM2JcWt/v7RXNJphtTqgUMo8HAqbzGZmVzZ7/HQjHpcMSwlx6bxsWH4pavRnF9UavBzJPVnL7yd6G8Y1LjURFUzvO1ugpkMm75JJLsG3bNowbNw433XQTHnroIWzfvh3btm3DZZddFujlEUIIIQOW5PSk+++/H7/+9a9RU1MDp9PZ5RaMQUygI5BZ3WoWezv60+5CLmg8KSMKUX1k8P2/K0ZiVi4XvDvEN1wHuPLf2949gL//XAIAyIjR+jxYB3RMLbfYu5eW681cRmZEiHfLi9zNni1tcO0E0RuEJvjD4kLdzhB0RSJ/gqfzciDT4WTxwrdnAQB3zMjEzsfnYXRyBFrbbXjthwKvvlZn5/hhO6MkZCbKZAzGpnIBQHfLy+0Opzjl1ZNAphCIFAKTrhIyMqV83UPdjh07er1t3749oGubPn063n//fWzduhXvvPMOamtrMXPmTDQ2Nvb6OevWrUNkZKR4S0/vvX2IVMKFDn8M+xH6y5ZTINMtQmn5sH4DmdzjZUE88McbQ6qE4wWhZLwvwrT43Pgwj/fbnTMyWZb16LmKJFbZCBexhc/zJmEfPbqXC4YjEiO6bEeADRs2YNmyZQCANWvW4LHHHkNdXR2uv/56vPvuuwFeHSGEEDJwST4a0+l0WLVqFRITE726kHXr1oFhGDz88MPifSzLYu3atUhJSUFISAjmzZuH06dPe/V1XRGlVSGa7yUk9FH0JyGQ6UrZ7vi0KABdM17+tPUcfi5owNu7igAAU7x8Fb43IUou21Loh9mZvl3IyPRuIFOcXC7xIF3IdMmK821ZOQD8z8WZuH9+Lv58k28nKIvDftosHp8sdbb9nA4FOgMiQ5RYtXAE1Ao5nvrVKADAPw9VoNlo9dprCewOp1jWJzUzcQL/N3GczxaRqqjeCIvdiVCVHNkeDIIS+mLW6S1ocvF75HSy4gm0u9mkQ1lhYSG2bt2K9nauhNObfwfuWrx4MW644QaMGzcOl19+Ob799lsAwKZNm3r9nDVr1qC1tVW8VVRUeG09ujb/Z2Q2m2zixSziupIGbr/WV2k5ADFjsKwxeAPGQkuEeA8qAKT0yezY/3h+QUnokWmw2NHa7tnfgTCx3NUqGyHg6YsKI+GCX2/7qhFJ3BrPSxiwFMzsdjv+85//QCbjTsVkMhlWr16Nr7/+Gq+++iqio/1zrE4IIYQMRpIDmTfeeCN27tzp1UUcPHgQf/vb3zB+/Pgu97/88st49dVXsWHDBhw8eBBJSUlYsGCB2E/Gn4QTh1I/Zzg4nSz28oHM2S4EMtPEkqWO3ksXXv2WUnLtiYgQLpDZ0wlrm9n7PTKBjr5XkjMyG4VBP77PyNSqFHhs0Qivl3VdKIHveWeyOmCweC+T+OMDZQCAZdPSEcln1M4YFovRyRGw2J3412HvBVkEpY0mWOxOhCjlkqeGC8F9dzMyhbLyMSmRbg36EYR1mngulMn3p7K5HQaLHSq5rN8sLNKhsbERl112GYYPH44rr7wSNTU1AIC77roLjz76aIBX11VoaCjGjRuHgoLes5nVajUiIiK63LxF5+H0ZynC1ArE8AOrqLxcGrvDKWay9lc5IGT8VQdxL1IhIzPBg96uHZPL+z9eyOe38bQ/JsC13REyST3tk1ksMSNTGPhT3ODdY1mL3SEed41K6fn9SRhUWaBrg8MZ+ItKgaZQKHDvvfd2aRtCCCGEENdIDmRu2LABmzdvxvLly/HKK6/g9ddf73KTymAw4NZbb8U777zT5eojy7JYv349nnzySVx//fUYO3YsNm3aBJPJhI8//ljy63hKyMQq8fLBX3/O69rQbLJBq5JjQi99hzoT+hM2mbiML7vDKWbcAFwZ1uJxyT5Z64WEbEt9DxkHeqFHppdLy4fFcQfpdXqLpOCdUIKX6YdApr9oVQoxUCz0wfNUnd6MnefrAQDLLsoQ72cYBv9zcSYA4Ktj1V55rc6EcuwRSeGSg4nj+d5n+bXunTx1nljuKaE8/KyLpXXCpPa8RM/LGYeSRx55BEqlEuXl5dBqOwLfS5cuxZYtWwK4su4sFgvOnj2L5GT/vC93ZrDYYbRyGfO+7NfbGfXJdE9Nqxk2B8sN84kM6XPblCguKB2sgUyzzSEeQ8SHuR+AFzIyz7pwYek8/549ItE7LT68MbmcZVnpGZn8xd7SBiPsju5tf9xVpDPC7mQRoVEgJbLnn0lmbCjUChnMNif9/fOmT5+Oo0ePBnoZhBBCyKAjOR3u448/xtatWxESEoKdO3d2aS7OMAwefPBBSc+3cuVKXHXVVbj88svx/PPPi/eXlJSgtrYWCxcuFO9Tq9WYO3cu9u7di7vvvrvH5/PVUAQhI9PfgczjFS0AuGCM0oVARhQfGGw1ccHDBoMVDicLuYzB3++YinGpkQhTezcLsjdCkFI44RCwLCsGN72dkRmpVSI2VIVGoxWlDUaXehqyLCuW4GXG+r603J8SIzRoMxug05vFfmCe+P5MHVgWmJwR1S0r6IqxSXj6q1M4Xa1HWaPRq0Hhcx70iUyJCoFCxsDmYFGnNyMlqu8gwIVOV3OBTE8mlgtGJkVg6+k6lzMyT/NBVCorl+b777/H1q1bkZaW1uX+vLw8lJWVBWhVnMceewxLlixBRkYGdDodnn/+eej1etxxxx1+X4vQHzNMrUCon/YLGTFaHK9ooT6ZEgmZe6lRIf1ezBEmRtfqzbA7nEF3EaTBwB3jqeQysfLDHaP5zMGqlnY0G62IDu25B7nV7kRxg/cyMgEua/ZoeYtHGZm6Nu6CrVzGIMPFY5fkCA1UChmsdidqWs3ihQVPCcHgkckRvQ4dkssY5CWG4VSVHudq2/ptkTAU3HfffXj00UdRWVmJKVOmIDS06/fkwko10rMB0DWGEEKIn0k+Anzqqafw3HPP4YknnhD7urjr008/xZEjR3Dw4MFuj9XW1gJAt16ciYmJfZ6Irlu3Ds8++6xH6+qJWFru50DmMT6QOTHdtTJkYRhQCx8oFIfqaBSYPyLB+wvsgzCR/MKMzHabA3Y+M87bPTIBbipno9GKonqDS4HMZpNNnKIutWx5oEuMUKNQZ0Bdm3cG/mw7UwcAWDA6qdtjMaEqzMyJxc8FDfjuZC3unZfjldcEPJvcLZcxSI7SoKKpHVUt7ZICmU4ni9PVng/6EXRkZLoWyDzG9/V0JRubdDAajV0yMQUNDQ1Qq/2TedibyspK3HzzzWhoaEB8fDwuvvhi7N+/H5mZmX5fixDI9KQ8V6qMGO7vjwKZ0lS1dAQy+xMXpoZSzl+8abO49DmDSedBP65M6u5NZIgSmbFalDWacKq6FZfkxfe43fm6NtgcfWcbSuWNyeVCn8uMGC3UCtcGOMpkDNKjQ1BUb0RZo8nrgczeBv0IcuK5QKa/kwIGqqVLlwJAlyQQhmHAsiwYhgnaIaqEEEKIpyRHIq1WK5YuXepxELOiogIPPfQQPvzwQ2g0vR8YXniQKuzce+OroQhCabm/e2Qeq+ACGRPTXQuiRPFDiVpMVjidrBigC/Ny5qMrIsWMzK6BTGFNchkDrcr709OF8nJhwmt/hLLypAiNX6a5+1NiOPe35Y3Scr3Zhn1FXL/WBaN7Hva1cAwX4NyZr/P49ToTJne7O2hBOJGvkpj9UtxghMnqgEbpnR6VQmbl+VqDmDXdG5ZlxYzsiXyfT+KaOXPm4P333xc/ZhgGTqcTf/rTnzB//vwAroy7gFddXQ2r1Yqqqip8/vnnGD16dEDWouPfF4T3CX/omFwenGXPviK8dwll432RyRgk8+XnNUFYXi4EMuO80A5BuEB1qqr3i0tCn+TxaVEeBU47E/qYVniQkVnUIJSVS9s3ZfrgePY8H1Qd0c8+WuhD7u+kgIGqpKSk2624uFj8lxBCCCE9kxzduuOOO/DZZ5/hd7/7nUcvfPjwYeh0OkyZMkW8z+Fw4KeffsKGDRuQn58PgMvM7Nw7TKfT9TkxXa1W+yTjRphm3WCwos1sQ7gPMgkvZLLakc9nbrmakSkED50sYLDaxT6R4Wrfr/dCYmn5BRmZncvKvXVS0Fk2f1DvajN7ITMo2MrKASCBH+BR2+p5RuaeggbYHCyGxYX2WqY+J48bSHWkvBkGi90rbQxa221iNtJIN0usU6O0AJrE53GVUFY+OjnCK+WZGTFajEwKx7naNvz7SCXunJ3d67YlDUa0ttugVsgw0o2S+qHsT3/6E+bNm4dDhw7BarVi9erVOH36NJqamrBnz55AL2/AECY/J/oxI5N6ZLqnWszIdLGEOFKD8iYTqlraMdWXCwuAer603JOJ5YKxKZH49kSN2Au5Jyf4zHhvZOUL0ryYkTnMxf6Ygo6LCd77GyxpEIYO9b0WoSVNiZ+TAgaqQGTiE0IIIcFA8pm5w+HAyy+/jLlz5+KBBx7AqlWrutxcddlll+HkyZM4duyYeJs6dSpuvfVWHDt2DMOGDUNSUhK2bdsmfo7VasWuXbswc+ZMqcv2WLhGibgwrmy7tME/J2CnqvRwstxJZpKL5UwapRxKORccNFrsMAQwI1OYTlvf1jUbsKPc3TfB1WFiP1PXJpeX8/0xg62sHID4O9vCD3/yxL7iRgDAnOE9l98BXKZHRowWNgeLA/z2nsrnhyykRoWIgXqpkiK5E16pAV3h5NZbJ7AMw+DW6dyQpP+erOlzW6GtxNhU1/rjkg6jR4/GiRMncNFFF2HBggUwGo24/vrrcfToUeTkeK/lwWAnZGon+GFiuUDIyCpvMsFq996wkWAnlpZHu1YmLmShV7d4p63IQNK5tNxTQu/jU9W9BzJPVrUA6Bgc5w1CQL+yuR2smw3+iiROLBdk8Rdty7wUTDTbHGKvzwt7Z3d77QC1aRrIPvjgA8yaNQspKSli66z169fjq6++CvDKCCGEkIFLcnTr5MmTmDRpEgDg1KlTXR6Tkl0XHh6OsWPHdrkvNDQUsbGx4v0PP/wwXnzxReTl5SEvLw8vvvgitFotbrnlFqnL9oqs2FA0GKwoaTRinBcPaHvTMWQkStLnaVUKtLbbYLQ40MYHDcP9NMihM+FESm+2o7Xd1qnUXJhY7ps1CdkJJfXGflsRAEAN3ycuOcj6iAGdJsebXZ/g3pt9RVxg8uJhMX1ud0leHD46UI6fztfjslG9Z0+7qqM/pvtZiUmRHcMvpBBKCsemeO/vXciu7q+sTywrp/6YbklKSvJJv+RgIvbI9NPEcoDLFAxVyWG0OlDWaESel6ZABzshkOlKaTm3nRDIDN7Scm8EMsfwA3/KGk1oNdkQqe16scxid4gX07wx8E0g/BxNVgeajFbEupFdWixxYrlAKC0Xhhx6qrzJBJblqmyEi6e9Edo06dosMFrsfhsyNlC99dZb+P3vf4+HH34YL7zwgtgTMyoqCuvXr8c111wT4BUSQgghA5PkI4gdO3b4Yh09Wr16Ndrb23HfffehubkZ06dPx/fff4/w8MCc+GTFheJQWbPfriQLB89SJzWHqYVAZqfS8gBkZIaqFYgJVaHJaEVVc3tHIFMoLfdRuXtGjBYKGQOj1YHqVnO/gw7q+Cy9JD9mJfmLECxube+7H2N/GgwWFPBlbNOzY/vcdnYuF8g8UNLk0WsKxP6YHpRXCz/bOgmBTIeTFfumebOkUJgu22Cwot3qQEgvfWKFjEwa9OOe5uZmvPvuuzh79iwYhsGoUaOwYsUKxMT0HYgfSsQemX5872MYBrmJ4The0YICnYECmS5gWVYMZKa5WFpOgUzXRIeqkB0XipIGIw6VNXW7+HaqqhU2B4uYUJVYDu4NaoUciRFq1OktqGxulxzINFnt4u+E1ECmsA/iApD9X+ztTzGfGTosLrTf54rUKhGlVaLFZENZo0mcHD9UvfHGG3jnnXdw7bXX4qWXXhLvnzp1Kh577LEArowQQggZ2NyuVywsLMTWrVvR3s4dSLlbGtPZzp07sX79evFjhmGwdu1a1NTUwGw2Y9euXd2yOP0p288lMef4QGZ/zdMvJAzQMVrtAR32A3R8zzqXbfk6I1OlkIk9HM9W9z8dWpjoLZQfBxMxI9PDQOZ+vkx8ZFI4okP7zriYmsUFivLr2vodaOMKTyaWC5Lc6BV6vq4NBosdoSo5hidKO1HsS4RGIbZ/aOql5N9sc+AMPwV2EgUyJdu1axeys7Px+uuvo7m5GU1NTXj99deRnZ2NXbt2BXp5A0ad2CPTvxdxcvnAS6HOtfYfQ12DwQqr3QmGgcttZoSMP6l9gQcDb/bIBIDp2dw+q6eLb/uLufsuyorxek/v9OiO8nKphKnfMaGqfvfJF0qLDgHDcNmgDQbP284I/cj7KysXZAVoeOZAVFJSIla5daZWq2E00veHEEII6Y3kQGZjYyMuu+wyDB8+HFdeeSVqarg+b3fddRceffRRry9wIBEOvvzRpNzpZHG+zr1JzUKpjtHiEDMywwIw7AcAZgzjsvd+LmgQ7xOCar7qkQlww1kA4LQLgczaVr5PnB8n9/pLRC+T46USApkzcvrOxgS4LJnsuFCwLDf0xxNOJ+t2ZnJniXyQusFggd3hWl++w2Xc2idmRHll0I+AYRhEabkTz2ZjzyeRZ2r0sDlYxHo5C2ioWLlyJW666SaUlJRg8+bN2Lx5M4qLi7Fs2TKsXLky0MsbEFiW7ZSR6d+LOHn8hYECCmS6RAhGJoZroFK49l4kZGTWeGHQ20DjzYxMAJjOt0vpqa+zENyc3k9LFXcI7+0Vbgz8KRLLyqX1xwS4bNAUvt1KeZPnx7Ml/FpcHTokDvyhPpnIzs7GsWPHut3/3//+F6NHj/b/ggghhJBBQvLZ+SOPPAKlUony8nJotR0lTkuXLsWWLVu8uriBRphqXe6lvkJ9qWxuh8nqgEouE/sZuSpUzWdkWuwdPTIDlJE5fyQ3GGZnvk4c7CBkifpy8rtQrnSmpvcG/gBgczjRaOROilzNdBlMOsr5PeuRKfTHFALT/ZmayfWBPFjqWXl5RbOJ+ztQyMQLCe6IC1VDIWPgZDuyefpzhA9kTsmIdvt1exPN92Fr6SVj9Wh5CwCurNzbWUBDQVFRER599FHI5R1l+3K5HKtWrUJRUVEAVzZwtFnsaLdx/dj8fRGHMjKlqWqW1h8T4IKeANdWxMz/nIMBy7JiINNbvV2FdimnqvXiMRMAWO1OHOL3Yf21VHFHmpiR6UYgU5hYHudetYAw3NAbfTKlZmT681h6oHv88cexcuVKfPbZZ2BZFr/88gteeOEF/O53v8Pjjz8e6OURQgghA5bkQOb333+PP/7xj0hLS+tyf15enjhtL1gJUyYbjVYYLZ4PT+mLUE6bkxAmeWJxqIrPyLQGtkcmAExKj0ZcmBptZruYnSdOLfdRaTnQEcjsLyNT12YBywJKOYMYrbTyrMFAyHpttzncnhDcYLCgqN4IhgEuynYtK2UaX15+qNSzjEyhP2ZeQphHWZEyGSOe9LqaoXSY/32dnOmLQCafkdlLablw8jw1y/uvPRRMnjwZZ8+e7Xb/2bNnMXHiRP8vaADS8f1iwzWKXvu0+oqQkVlUb4DD6XlbmmBXLU4sd60/JsDtX9V89qYQ+AsGbRY7LPy+LM5LpeUpUSEYFhcKh5PFjvx68f79xY0wWR2IC1N7NGyuN+kxXFakO6Xl4sTyBPcu8GXGei+QKWRWDnMxO1QI4AZj2wOpVqxYgWeeeQarV6+GyWTCLbfcgrfffhuvvfYali1bFujlEUIIIQOW5MiA0WjskokpaGhogFodfD0GO4sMUSKCDwi6c+AphVBO687Bc0dpeacemQGaDCmTMZjAT3gXygj9UVo+Jpl7zcrm9j4H3Qg9ExPCNZDJgi/zTcjOBYB2q3tZOUIwcnhCuFgS3R8hAHessgUWu/vZQB1/B54PBEjkM27rXAhk1rdZxBO8ST7IyBSykXu6IMKyrJjJKgSEiTQPPvggHnroIfz5z3/G7t27sXv3bvz5z3/GI488gocffhgnTpwQb0NVR0sN/++306K10KrksNqd4qAQ0jsh4NPf4LrOGIYRqwykDDkb6ISgbLjauwH4K8YmAQD+e7JGvG/r6VoAwILRiT45PhACehVN0oOJ7k4sF3RMLvesvLvFZEUT3yLF1YxMoaTenUzUYPSb3/wGZWVl0Ol0qK2tRUVFBe68885AL4sQQggZ0CRHt+bMmYP3338ff/jDHwBwB8tOpxN/+tOfMH/+fK8vcKDJiNXiVJUe5U0myUN4pDhX596gH6BzaXnnHpmBCWQC3FX6H891DEnqKC333ZoitUqkRYegsrkdZ6r1vfZ2FE7wgrGsHAAUchmUcgY2BwuTzY5ISA8eu5MdmB0XithQFRqNVpyqasWUTPcCckJmsif9MQXiwB8XTuqF7OHhiWFieb43iX+jPQSXSxqMaDBYoVLIMD7Ne9PSh5Kbb74ZALB69eoeH2MYRpzW63AET9mtFNWtQrmy/3uwymUMxqZE4pfSJhyvbKXJ5f0QLpymSigtB7jy8rJGE+r0wZOR6e3+mIIrxyXjzZ1F2H5OhyajFSFKOb45wQU1hSCnt3UE9NolTQ93OlkUN/AZmW4HMvmMTDeCqJ0JZeXJkRpoVa4d0wlfd1VLO5xONigvIkul0+mQn58PhmHAMAzi4+MDvSRCCCFkQJMcSfrTn/6EefPm4dChQ7BarVi9ejVOnz6NpqYm7NmzxxdrHFDSo7lApjtX0KUorOMOUke4cYInlpZb7GLGVyADmcJEXOEERC/27fTtAKLRyRGobG7H6erWXgOZQkZmkp+n9vqTRimHzWF3PyOT7xUpJZDJMAwmpkfhx3M6HK/wJJDpxYxMCYFMYdDPFB+UlQOAls8kMvWQkSlkY05Mi4Ja4d+S32BRUlIS6CUMeDUt3N+BMPTD38ancYHME5UtuHFKWr/bt5psOFbZguGJYUgO0JoDpaO0XNrXncAPcQrGjMw4Lwcyx6REYExKBE5X67FxTwmitSq0ttuQHhOC2blxXn0tQXJkCGQMYLE70WCwuhycrW5th9nmhEouc3sYnNAj09M+lcKgH1ezMQHueEsu4y6w6tosQXsh2RV6vR4rV67EJ598AqeTa5kgl8uxdOlS/N///R8iI+liJiGEENITyaXlo0ePxokTJ3DRRRdhwYIFMBqNuP7663H06FHk5OT4Yo0Dinjw58NAptPJoqxJ+sGhQCwttzpgtDi63BcIQh+rBn7IitFPfTvHpHAHgGdqeu+TKZzgJfh5aq8/hSi5YFi7GwMf2q0OnKriBiZNlRiMHJ8WBQA4WdX3wKW+XruUL3vzRvZzkoTS8r1FDQBc7wkqlVbV8Td6oYN8Kf+0bOqP6a7MzEyXb0NVDZ+RmSwxy89bxvHZxscr+39/2Jmvw+w/bscd7/2COS/vwJdHq3y9vAGlo7Tc9R6ZQMfFm7q24Atkejsjk2EYrJyfCwB4Y3sh/vDtGQDAPXNzIPdRxqBKIRMvokqZXC5MLM+M1brdO1rIyGw0WrsMOJJKyAyVcqyqkMuQzO+Ph3p5+V133YUDBw7g22+/RUtLC1pbW/HNN9/g0KFD+M1vfiPpudatW4dp06YhPDwcCQkJuPbaa5Gfn99lm82bN2PRokWIi4sDwzA9Tkzvyfr16zFixAiEhIQgPT0djzzyCMzmjveVtWvXitmkwi0pyTeZzIQQQgjgRkZmeXk50tPT8eyzz/b4WEZGhlcWNlClxbg/ZdJVdW1mmG1OKGSMW1fbhWwvo6Vj2E/nXon+FhvG9VVsNHB9lEx88MbXAybEyeV9DPwRsvOCOSNT+D67M7n2eGUL7E4WiRFqyb+L49OFQEWL5NcFgPN1bWBZIC5M5ZWTVuHEqb+MzBaTVRwSNTPHN5k4oUJGprX3jMyp1B/TI1VVVdizZw90Op2Y6SJ48MEHA7SqgaO6NbAZmRP4Cx1nq/Ww2B29Zh+fr2vDb98/DKvDiXC1Am0WO1Z/fgLj0iLdLqsdTAwWu9jnWcrUcgBI5C/Q6YKptJy/IBrvpUE/nS0em4TrJqXii6NVYFlg3oh4LJvm22PatGgtqlvNqGxux2QX+zELE8tzE9z//Q/XKMX2L+VNJvHCr1Qdg36krUVo/VPV0o6pbr1ycPj222+xdetWzJ49W7xv0aJFeOedd3DFFVdIeq5du3Zh5cqVmDZtGux2O5588kksXLgQZ86cQWgoF2g2Go2YNWsWfv3rX7scKP3oo4/wxBNP4L333sPMmTNx/vx5LF++HADwl7/8RdxuzJgx+OGHH8SP5XKqKCGEEOI7kgOZ2dnZqKmpQUJCQpf7GxsbkZ2dHfT9xvyRkVnawD13WnSIW1fbwzoN+xECJYHMyIwJ5QKZTaaugcxQF/spuWsMH8gs1BlgtjmgUXY/qAr2HplAp4xMq/Sp5Yc6BdVc7d8lGJ/KnRgV1xuhN9skD3cS+mN6o6wc6JSd1M9J/f7iRrAsd5KY6KMAt1b8G+36flnZbEJZowkyxndl7UPBxo0bcc8990ClUiE2NrbL7y7DMBTIREe5cqAyMjNjtYgLU6PBYMGRspYe2384nSx+t/kkrA4nLsmLw7t3TMNd7x/CT+frsWF7If6ydKL/F+5nws8pQqOQ3I6l4z2PMjJdwTAMXvn1BFw9IQVWhxOXjUzwWTamIC0mBL+USrs4XljvWX9MQUasFo1GK8oa3Q9kCkOHhkmsHuIGHTX5fHDmQBcbG9tj+XhkZCSio6UdA2zZsqXLxxs3bkRCQgIOHz6MOXPmAABuu+02AEBpaanLz7tv3z7MmjULt9xyCwAgKysLN998M3755Zcu2ykUCsrCJIQQ4jeSo2S9NSQ3GAzQaII3GCRI57PSKpq45uy+IEyRFKZKSiUESZpNVtgc3BoDGcjsHFgFOrLQtD7OyEyO1CBKq4TdyaKgrufJuEJQy1cBq4FAyMh0p7Rc6I85zY2gWmyYWpyye8qF8tELna0R+mN6ZxCIkHVb09r33+7eokYAwKxe+qp6Q28ZmTvz6wEAkzOiJQd+SYff//73+P3vf4/W1laUlpaipKREvBUXFwd6eQHHsixqWgI37Afggkazc7m/sd2F9T1u89mhChwqa4ZWJccfbxgPlUKGxxeOAAB8fbxanJYczKqEQT/R0srKASAhnAKZUslkDOaPTMCiMUlul21L0TG53PWAnjcyMgEgiz/GLHVzcrnTyXbKyJQayKTJ5QDw1FNPYdWqVaipqRHvq62txeOPP46nn37ao+dubeWOu2JiPKvumD17Ng4fPiwGLouLi/Hdd9/hqquu6rJdQUEBUlJSkJ2djWXLlvW5r7VYLNDr9V1uhBBCiBQuR7dWrVoFgDv5ePrpp6HVdhxUOxwOHDhwABMnTvT6Agea1OgQMAwXFJLSnF2KUr75elas9BMXAAjnA4edM8+0PWQj+osQyDRZHbA5nDDbuMxAX5eWMwyDMSkR2FPYiDM1rWJPNgHLsuKwn6AOZLrZI9PpZMWhN+6WOU9Ij0RVSztOVLVipsSBCfn8oB9v9McEuKxbtUIGs82JD/eX4bYZWT1ud6CYy0LtbUCUNwg9Mk2demSyLIuvj1UD4EoaiftMJhOWLVsGmcz3gYjBSG+2i/1ZA1VaDgCX5MXjy2PV+LmgAY8v6vpYfZsF6747CwBYtWC4GHAdlxaJsakROFWlx39P1eDW6cHd57Syxb2J5UCQlpbzgcwEHwUy/c2dgF6RlzIyhT6Z7g78qdGbYbE7oZQz4kVLVwkB3KGekfnWW2+hsLAQmZmZYmuu8vJyqNVq1NfX469//au47ZEjR1x+XpZlsWrVKsyePRtjx471aI3Lli1DfX09Zs+eDZZlYbfbce+99+KJJ54Qt5k+fTref/99DB8+HHV1dXj++ecxc+ZMnD59GrGx3Y+l1q1b12OLMkIIIcRVLgcyjx49CoDbOZ48eRIqlUp8TKVSYcKECXjssce8v8IBRq2QIylCg5pWMyqaTb4JZPJXuLPcGPQDdAzREYY5aJQyv2QW9Cas01AfYeAP4PvScoAb+LOnsFHsedhZm8UuBveCukcmH8g0S5xafl7XhjazHaEqudtZkWNTI/HdyVqc7WPgUk9YlhVLy0cle6e0XKOU487Z2XhzZxGe/c8ZLBqThIQLfu4tJivy67gAqi97VAo9a4WMzGajFbf+/QDO1OghY4BrJqb67LWHgjvvvBP/+te/upxokQ7CviFKq/T5BaW+XJIXB4YBTlS2oqLJhPSYjot3L3x7BnqzHWNSIrB8ZlaXz1syPgWnqvTYcqo26AOZ4sRyNzJnhfe3NosdRos9oJUZ3iL2yAySQGYm/zvvalZki8mKBr7fuNQsyG6vHSvttS9UzAdUM2NDJR9jdgRwh3Yg89prr/XJ895///04ceIEdu/e7fFz7dy5Ey+88ALefPNNTJ8+HYWFhXjooYeQnJwsZo0uXrxY3H7cuHGYMWMGcnJysGnTJjERprM1a9Z0uV+v1yM9Pd3jtRJCCBk6XD6q3bFjBwBgxYoVeO211xAR4Z3gwmCUHqPlAplNJpebs0shHFRmuVlaLvTRcvLVs/4IGPZFrZBDKWdgc7BiZgjDcAFWXxvNB8F6CmTq+HK7CI0ioCfzvqbpY7BMX4Tp2ZMyot0OhAtZFzUuTArvTNdmQbPJBhnjeflcZ48vGoFd5+txulqP3YUNuH5yWpfHD/Ff87D4UMT5YJiEQJxazvfI/MfeUpyp0UMuY/DklaO6BHSIdOvWrcOvfvUrbNmyBePGjYNS2bVM/9VXXw3QygaGmhbu7zE5gNmYABdom5UTh92FDfj34Uo8smA4AG5K+ZfHqiFjgHXXj+v2/jN/ZALW/fccDpY29TkoKBh0lJZL/1mFqRUIUytgsNiha7Mge5AHMh1OFo0+HPYTCMKQnMrm9l57eXcmZGOmRGo8DkwL7YvK3MzIFMrKpUwsFwiBzKrmdjidLGQ+7kU6UD3zzDNef84HHngAX3/9NX766SekpaX1/wn9ePrpp3HbbbfhrrvuAsAFKo1GI37729/iySef7LHyITQ0FOPGjUNBQUGPz6lWq6FWB8ffMCGEkMCQHJ3YuHHjkA5iAkC62NPI+719WJYVDyoz3S0t13Q9uB0IWRhCeblQFhailEseHuMOYeDP2Ro9nM6ufRGHQn9MANAohNJyacN+Ogb9uB+sT3Jz2MSpKq63U25CWL8ndlIwDINpfKblqaruwW1hYvi0TN9ODBcyMo18cHn7OR0ALmjzv7OzffraQ8GLL76IrVu3oq6uDidPnsTRo0fF27FjxwK9vICrbnW/XNnbfj2VO9F+f18p9GYbGg0W/G7zSQDAHTOzMJ6fbt5ZXkIY4sLUMNucOFre4sfV+l+VmJHp3vFAAl9eHgx9MpuMVjhZ7kKoMERwsIsLUyFcowDLuhZQLNJxwcMcL1zgEy6W17SaYXajh7a7g34A7thALmNgdTjFLNuhzmAweNQ3kmVZ3H///di8eTO2b9+O7GzvHEuYTKZuwUq5XA6WZXvtN26xWHD27FkkJyd7ZQ2EEELIhQIf4RqEhMnlUpqzu6q+zYJ2mwMypiObTaoBGcjUKNBsskHHBzK1fsoSzY4LhVohg8nqQGmjUcx+ADAk+mMCgErBHYDaHFIDmXx/TA+CekIgs7bV3OugsJ6c4IcDjUuNcvu1e5PDl+NV9NCT7BchkJnt20Bm54xMu8Mp9gO9ONt3fTmHkldffRXvvfceli9fHuilDEjixPIAZ2QCwFXjkvH6jwUoqjfirk2HoG+3obrVjMxYLR5fNKLHz2EYBjNzYvH18WocKG7CxcOC9+9GyMhMcTPonBiuQXG9MSgCmUJrmhitKqDtcryJYRgMiw/D8YoWFNcb+u0J7a2J5QAQrVUiXK1Am8WOiiYT8hKltZApdnPQDwAo5DIkhqtR3WpGdUt70B+H9aakpAT3338/du7cCbO5429UOF5yOFwPMK9cuRIff/wxvvrqK4SHh6O2thYANwE9JIR7r29qakJ5eTmqq7l+3Pn5+QCApKQkceL47bffjtTUVKxbtw4AsGTJErz66quYNGmSWFr+9NNP4+qrr4Zczl2Ufeyxx7BkyRJkZGRAp9Ph+eefh16vxx133OHhd4gQQgjpWeAjXINQegx3QFDug4xMoVQnLVorBqCkClUpwDAAK5aWB77sTihv17VxB2q+nlguUMhlGJkUjuOVrThb09YlkFnXNjQCmWr+98hqdz2QWdPajqqWdshlDCZmRLn92kI2kMXuhMFiF9se9Ockn5E5/oIBTd4gBG+EPoEAl12tUshwkg+gXuTD/phAx9+DyWpHRXM7rA4n1AqZW+WjpDu1Wo1Zs2YFehkDllhaPgAyMhVyGV6+cTxufucAfinhLiTEhKrw7h1T+7zgNTkjCl8fr8aJyhY/rdT/bA6nuJ9y970hMYgyMoVApi/bfgRCTlwoF8hs6L9XpTCx3BsZmQzDIDNOi1NVepQ1uhHI5IOq2XHurSU5KgTVrWbUtJoxya1nGPxuvfVWAMB7772HxMREjyqV3nrrLQDAvHnzuty/ceNG8aLe119/jRUrVoiPLVu2DABX4r527VoA3LChzhmYTz31FBiGwVNPPYWqqirEx8djyZIleOGFF8RtKisrcfPNN6OhoQHx8fG4+OKLsX//fmRmBncPY0IIIYFDgUw3iBmZEqZMusrTsnIAkMkYhKkVaDNzZasDISNTWINwIuKvQCYADE/kApnn69pwFZJhsNgRopSL/TqFE71gJQTErRIyMoVszFHJ4WJbAHdolHKoFDJY7U60tttcCmSyLCsGMsem+iCQyQdvhGDO6er/3959xzdV7/8Df52kTdKR7j1o2VAoe8+KAoqKiHrl4lVxI1PAxQ8VxAF4FecXXIh4HXCvgnKVi+AAREARQfZuKV107zZpk/P7Iz2nDZ1ps/t6Ph59QJPTk3dPk5zknffn/S7ClP/7FVUGU+Y/3E8tf1hhK7XDfgw4WzNcqHOoL5TttE+Ytc2fPx9vv/023nrrLUeH4pSkpeWOnFhe18C4IGx+dAQ++y0VWo0H7h/ZERH+TSdZE2uWnB9NL7Ko2tuVmCrZTc/hIT6tO09JQ3GkATGuTGpN4y6DfiRSj0mp/2VTpIrMLlaoyARMfTKPpxdbPPCnssogtz1o7dChyJrHuFQh3h4dPXoUhw4dQvfuDVefW6KxZd51zZgxo9mVCrt27TL73sPDA0uXLm2yn+fGjRtbEiIREZHVWJShqKqqwsMPP4xnn30WnTp1slVMTk8axJFRWIEqgxGeVlzi1NZBPxI/jaecyAzwblkVnC1JicvcEr3Z9/bQrabK4Fx2Cc5nl+Kmt39B35gAuceWu1dkqpSWV2TK/TGt0CvS38sTOSU6FFVUIaYF7TavFOuQU6KDUiHIw5qsSRoSUVCuh9Eo4pdzuXISEwAGxwfZPClS98OFczWJzPgQDvixlt9//x0//fQTvv32W/Tq1avesJ/Nmzc7KDLnUFheBaA2keAMekf7Y8XUxBZvnxDpB6VCQE6JDlnFlU6xTN7apInOUf6aVg9DkZJ+UhLQldVWZLpHf0yJtFJE6jnZmHJ9tbwSqFu4lRKZNa9nLR34cymvHKJoamUU3Mp+pdEBpsdsRqHrVwu31uDBg3H58mWrJDKJiIjaE4sSmZ6entiyZQueffZZW8XjEkJ91VB7KKCrNiKzsBId2lA9eTVrVGQC5n0yA70d/6JfWkqbU2rfHplAbbVDan459p7LQWWVEb8l58svot29IlNKtOssSWRequmP2YZBPxI5kVmTPGmOtFS0a5ivTabJ+3mZklpGESjRVSPzqmqQITbujwmYlvsrBFMM0nLCMK3zJJVcXUBAAKZOneroMJzW/+aPRnFFtU0eX/bipVKia5gvTmeV4GhakVsmMqVKtba0nHCvRKbpg1B3W1ouVTRezCltsrr4dFYJRBEI06oRbKVjIH1ofsnCVknJuabK0E6hvq3+4E/6IKVum5f25sMPP8TMmTORnp6O3r171/vQrU+fPg6KjIiIyLlZnE269dZb8fXXX2PhwoW2iMclKBQCYgK9cCGnDGkF5VZNZEo9MttakVk3kekUFZk1S2mligp7voGWlihmFelwpc6bOWlZlNtXZFrYI7OksgqnMk3TMq1VkQkARRUtS2Qet2F/TMC03N3LU4mKKgOKyk2DReoa2y3UJrdblyAI8Klp/yA95t39fmhP69evd3QITk0QBPg7wXmhrRIi/XA6qwTnrpRgYq8IR4djdbUTy1ufyJSSfrluMBnanZeWCwJQXFmN/DJ9o0nK05mm6v0eVlypIL1+vWTh0vILbZhYLomUKjKL2m9FZk5ODi5cuGDWt1IQhFYN+yEiImpPLE5kdunSBS+88AL27duHgQMHwsfH/EXMvHnzrBacM4sJ9K5JZFrvk2RRFOUXk/FteHEIAMF1+mk5U0Vmbs0bEXsOIJISRHllugb/XlKrAHdl6dTyw6mFMIqmoVbN9alrCUsTmYcvFwKo7YFnCwHenqgoMqCwQo+SSlNcnkoBj0/ojrg2fojQUj4q80RmmJu9OXe06upq7Nq1CxcuXMD06dOh1WqRkZEBPz8/+PpaZ1kmOVaXmuW157Kb7y3oimonlrMiE3DfYT8aTyViAr1wOb8CZ6+UYngjv5/0AWPPZiabW0L60DytwLJWSRetkMiUevRevSqiPbn//vvRv39/fPHFF20e9kNERNSeWJzI/PDDDxEQEIBDhw7h0KFDZtcJgtBuEpnSUq80Kw78yS3Vo0xvgCCgzcNGYuosRXOGBIlUkVmmN3267GXHpeXBPip4KgVUGUQcu2rCrY9K2er+Tq7C0orM35LzAACDrVCNCViWyDQaRRxJLQRgmkpsK/5ensgsqkRheRUqau6Ta+8aiOsSwm12m1eTHhNSv0JWZFrPpUuXcP311yM1NRU6nQ7jx4+HVqvFK6+8gsrKSrz77ruODpGsoGtYTf/jK+6ZyJSGMrWlIlPqCZxfrrd6T297k5KxIU7wmsbaEiL9cDm/AiczizG8c3CD25zOqklkWrEiM0yrhsZTgcoqIzIKK1r8QZ60tLxjKwf9ALWD93JKddBXG+XXKu3JpUuXsHXrVnTp0sXRobgFpoGJiNoPi181JCcnN/p18eJFW8TolGLkRKb1PkmWqjGj/L2g9mhbxWLdnlrOUHHoc1Xi0p7DfhQKQe4/mHJVQ/vYIG+3/wRcrbRsavm+C6ZEZmNvpiwlJTKLK5tPZJ7LLkWJrho+KiW6h1uv6qSxmIoqqlBek8i0530SQL1p8O7eq9We5s+fj0GDBqGgoABeXrXPhbfeeit+/PFHB0ZG1iQNPLmQUwqDsfmJva5GqshsS4/MQG8VlAoBogjkl7n25HKpIjPUzSoyASAh0tRK5WRGcYPXi6JYZ2m59c6NCoWADjWvEa9+fdQUqbdzp5DWV7cH+6ig8lBAFIErxe1zefm4cePw119/OToMIiIil9Pqsji9Xo/k5GR07twZHh72q65zFjGBphd+1kxkyv0xrTC9eETnEHgqBQR6q+Sp3Y50dZLInkvLASDMTy33G6urrUOVXIElFZmF5XocrqmIHNElxCq3L/VrLa6obnbbQzVDhvrGBsDDhpVDUhKxQm+QE5n2Hnxy9WOCw36sZ+/evfj111+hUplXW8fFxSE9Pd1BUZG1xQR6y4P3LueXt7klizMRRdEqPTIVCgHBPipkl+iQU6Jz2cpvg1GUE7EhWvdbRZEQZaqyPJnZcCIzNb8cJbpqqJQKdA61bmuMuGAfnL1SWvNhevM9ovPL9PJKgra8XhUEAVH+GqTklSOjsMIpPnS3t5tvvhkLFizAsWPHkJiYWG/Yz+TJkx0UGRERkXOzOANZXl6OuXPnYsOGDQCAs2fPolOnTpg3bx6ioqLw9NNPWz1IZyRVZDaUHGstaWJ5Wwf9AED3CC22zRsNPy9Pp1iu43NV9Zk9l5YDQMRVb94i/TXILKrEpMRIu8bhCNJSwpYkMjfsuwTAtHStLW+e6/LTmF6Yl7SgIvPPVFMic0CHtk9Lb4qUtCzTV6OiSqrItO99sm6VstpDAT+v9veBkK0YjcYGhySkpaVBq3X8BztkHUqFgM6hvjiZWYxz2aVulcjMLdVDV22EIKDNE9lDtWpTItOFB/7klelgFAFBAIKcoO+3tUmJzPPZJQ0us5Y+YOwV7Wf19gDx8sCfllVkSsvKo/w1bT5vRvp7ISWvHJntdODPzJkzAQDLly+vdx2H/RARETXO4ldDixcvxl9//YVdu3ZBo6lNDl133XXYtGmTVYNzZlIiM7OoosVDVJqTkmedieWSruFap6m+uLr6zN7LeOsehwBvT/z7keFYP2MwJveNsmscjiBXZLbgfno227R0LcGKPbikBF1xZfMVmVIic2CcbROZUhKxXG9Aud4Ul73vk3WT+2F+ardvcWBP48ePxxtvvCF/LwgCSktLsXTpUkyaNMlxgZHVST36LJ267OykD0nDtZo2fxgpDcdx5YE/uSWmasxgH5VNq/UdJcpfA38vT1QZRJy9UlLv+sM158b+sdY/N3YItuwxJE8st0JlqNQnU+oH294YjcZGv5jEJCIiapzFrwa//vprvPPOOxg1apTZG++EhARcuHDBqsE5sxAfNVQeChhFIMtKnyRLn4a743JnR/bIBGA2fTvCT4PYIG9c0yOsXSSPLFla/lfNxPCpA6KtdvtSRWZxM8N+Csr08iTU/jYc9APUDtopqaxGZZXpuNh7abmPuvb2wrms3Kpef/117N69GwkJCaisrMT06dMRHx+P9PR0rFq1ytHhkRVJ/f1S8603eM8ZWKM/pkSaXJ7rwhWZ7jqxXCIIAnpHmz5APFJzHq7rcM1lA+ICrH7bUkWm1N6oOdJ2Ha1QAS1NLs9ox5PLJZWV7bMqlYiIqDUsTmTm5OQgLCys3uVlZWXtIikkUSgExNQsvb1shcnloijWVmS60fI4ibf66opMxy0tr5vUbA9ULRz2k1eqk3u+Jsb4W+32/Vo47OfwZVPFSedQHwTYeOmglFjPL6t9Y2/v5Hrdx4CzVE67i6ioKBw5cgRPPPEEHnnkEfTv3x8rV67E4cOHGzx/keuKC7JsWayrSC80/T7WaPEhJTJduSJTnljupolMABgcHwQA+D053+zycn21PASovw3arkg9Ny/llbdohdGF7JqJ5VZ4rSpVZGYWts8knsFgwAsvvIDo6Gj4+vrKQ1OfffZZrFu3zsHREREROS+LE5mDBw/Gd999J38vJS8/+OADDB8+3HqRuYBoK04uzy/To6SyGoJQW2HiThxdkVk3UWSt3o+uoqUVmUfTiwAAnUJ95CpKa5CG/ZQ0s7RcGvRj6/6YQG31ZV5p7RRfjYfjlpZLiQayjj179sDT0xP33Xcf3nnnHaxZswYPPvggPD09sWfPHkeHR1bUIZgVmc1xi6Xl0sRyN36uHNKxNpEpiqJ8+W/J+ag2iogO8EKUDT6IjfTXwEelRLVRREoLqjLP1SQyrTFIMqrm9VhGO+2R+dJLL+Hjjz/GK6+8YjacLjExER9++KEDIyMiInJuFpfFrVixAtdffz1OnjyJ6upqvPnmmzhx4gT279+P3bt32yJGp2XNyeUpNdUkkX4aaDztm1CxB5+rKjLtvYw3KqD2xb87vxFqiKqFw36OpZkSmX2irVeNCbR8afmflwoBAANs3B8TAHxq7n/Sm2ONpwIKhX0rygO9a5PFYX7t6z5pa9dccw0yMzPrVV8WFRXhmmuuYe8xNyJ98JdWUA6DUYTSzo9jW7HGxHKJO1Rk1i4td79BP5L+sYHwVArIKq7EpbxyeXXOnrM5AIAx3UJtsvJJEAR0Cdfir8uFOJddiq5NJCgrqwzy6qFuEW3vkSktLc9spz0yP/nkE7z//vu49tpr5cE/ANCnTx+cPn3agZERERE5N4srMkeMGIFff/0V5eXl6Ny5M3bs2IHw8HDs378fAwcOtEWMTkueXG6FRKbUZD3OSoN+nM3VS8l91fZdWt4hyBudaoZCXNO9fS0tlSoym1sydlRKZMYEWPX2paXlZXoDqhuJobLKIA/6GRxv+0Smd839L7emItPerQ4A8wSF9KEIWYcoig2+4c/Ly4OPj3s+x7ZXkf5e8FQKqDKIbpUMSbNmj0xf1++R2R6WlnuplPKKhB9OXQFgei7bdcaUyBzbLcRmt90tzJSUPHeltMntzmeXQhRNH8SFWuFvIS0tLyyvkgfvtSfp6eno0qVLvcuNRiOqqpr+8JeIiKg9a9W798TERGzYsMHasbicGHlpeduXtEkVmfEh7pnQcPTSckEQ8PmDw3CluBJ9YwPsetuO1uKl5WmFAIA+VuyPCdQuLQdMy8sDfepX1PyZWgBdtRFhWrXcr8uWpPtfTs0bey8HVEHX7S/WM6LtS/QImDp1KgDT433GjBlQq2vfaBsMBhw9ehQjRoxwVHhkA0qFgNhAb1zMLUNqfrnbfCggVWTGsCITQO2HTu6+omJSYiR+S87Hd8cy8eDoTvgrrQjJuWXQeCowqmuozW63a7jpvHs2u/7E9LrOZJmu7xautUp1qJ/GE75qD5TqqpFRWIkuYbY//zuTXr164ZdffkFcXJzZ5f/5z3/Qv39/B0VFRETk/CyuyFQqlcjOzq53eV5eHpRK91sS3ZQYK/bIlPoSxbtpRebVS8l97FyRCZiG/LS3JCZQm8jUNVGReaW4EtklOigEICHKz6q376lUyInDkspqXCmuNOv/BQD7zucBAEZ0DrbL0DApsS4ld+2dWAeALmG+eGJidzwxsXu7e/NmK/7+/vD394coitBqtfL3/v7+iIiIwMMPP4xPP/3U0WECANasWYOOHTtCo9Fg4MCB+OWXXxwdksuKlSaXu8nAn+LKKrmnsDUrMosrq1FZ5ZptFdx9arnk+t4RUAjA4dRCHE8vwr/2XwIATEiIsOlKFmk5+flmKjLPXjElMrtb8cO3yJq+n+5UUd1SS5cuxZw5c7Bq1SoYjUZs3rwZDz30EF5++WU899xzjg6PiIjIaVn8qujqBIREp9OZNapuD6TKj6ziSlQbjPBQWpwXlrn70nIpmSZxRCKzvarbI7OxJbfSsvJu4VqbLLPWajxQrjfgpW0n8f2JK7h9YAxevaOvfL20jG5kF9stnavr6sSlIxKZgiBg9jX1l5RR661fvx4AEB8fj8cff9xpl5Fv2rQJjz32GNasWYORI0fivffeww033ICTJ0+iQ4cOjg7P5dT2yXSPRIjUribQ29Mqz8d+Xh5QKRXQG4zIK9O75MC79rC0HDANJry5bxS+OZKBhz75A1eKTUNw7h/V0aa327Xmw7SLuaWoMhjh2cjr2TNXaisyrSUqwAvnskvb5eTym2++GZs2bcLLL78MQRDw3HPPYcCAAfjvf/+L8ePHOzo8IiIip9XiV8hvvfUWANOb7w8//BC+vrUVRAaDAXv27EGPHj2sH6ETC/VVy28OMosq5aqQ1nD3peVXc8RS3vaqbhK5yiBC5VE/kXmsZmJ5ryjrLiuX+Gk8caVYh+9PmBKWXx5Kw8yxndAlTIvz2SU4nVUCD4WA8QnhNrn9q12dSLf38CmyraVLlzo6hCatXr0aDzzwAB588EEAwBtvvIHvv/8ea9euxYoVKxwcneuR+uxluElFlzUnlgOm122hWjXSCyuQU6JzuURmtcGI/PL2sbQcABaO74afTmcjs2aS99QB0ehn49UkUf5e8FYpUa434FJeGbqENZyoPJtl/YrMKDd7/Fpq4sSJmDhxoqPDICIiciktTmS+/vrrAEwVme+++67ZMnKVSoX4+Hi8++671o/QiSkUAqIDvZCcW4b0wopWJzILy/UoqpnoHBfknBVE1uYuk2VdgUpZN5FprFcdCwAnahKZidHWXVYukQb+1PWfP9KweFJPvL/nIgAgqXsoArztU9VdvyKTFcJkH3q9HocOHcLTTz9tdvmECROwb9++Bn9Gp9NBp6vtb1hcXGzTGF2NlJjLKHSPRIg1J5ZLQnxVciLT1eSX6yGKgEIAghrosexu4oJ9sOnh4diwLwUdgr3x4GjbVmMCptez3SO0OJxaiBMZxQ0mMvNKdcioSa5ad2m5ez1+LdGpUyccPHgQwcHBZpcXFhZiwIABuHjxooMiIyIicm4tfveenJwMALjmmmuwefNmBAbafrKwK4gOMCUy27KkLbmmP2aEn4aVYWR1dROX+mojfBooaJEqMhOtPOhH4qep/1Tz7z8uo0ekFv/+Iw0AMHNsZ5vcdkNYkUmOkpubC4PBgPBw8+rj8PBwZGVlNfgzK1aswPPPP2+P8FySlAiRKthcXW0i03orNFx54I8Uc5CPqt18CJoQ5YdVt/ex6232ifbH4dRCHEsrwi39outdf7TmdUKnUB/4aep/ONlatT0y3ePxa4mUlBQYDPX71up0OqSnpzsgIiIiItdgcRnSzz//bIs4XJY1JpdfqllWHhfcPpaVk30pFQKUCgEGowh9AwN/Csv1yK55o9gjwjYVmdo6b3pGdQlBan45UvPLsWDTXwCAGSPiMSg+yCa33ZCrKzLZ6oDs7epetY31rwWAxYsXY+HChfL3xcXFiI2NtWl8rqRuIsRoFKFw8WSXtZeWA7WJTGlojiuRJpa7e39MR0uMCQBwSe6ZfbWjl02X940JsOrtRrlZRXVLbN26Vf7/999/D3//2g+RDQYDfvzxR8THxzsgMiIiItfQqvWUaWlp2Lp1K1JTU6HX682uW716tVUCcxXWmFyekufeE8vJ8VRKBSqMBnlKd13SfTfEV22zIUx+XrX77RXthzsGxWD+xiMAgEmJEXjmxp42ud3GXL2U3BHDfsg2qqqqMGHCBLz33nvo1q2bo8OpJyQkBEqlsl71ZXZ2dr0qTYlarYZazSROYyL8NRAEU8V5Xpne5fsoXq75YDTGiolMKQnoihWZuTUxu/rf1dn1rVmRcTyjCAajWK/69Vh6IQAgMdq6KzfqfhDR1Ac67mTKlCkATB9o3XvvvWbXeXp6Ij4+Hq+99poDIiMiInINFmctfvzxR0yePBkdO3bEmTNn0Lt3b6SkpEAURQwYMMAWMTo1aXK5VSoy3XzQT7CPCnllengq3f9FqrPxVAqoqEKDFZmX863/pvlq/nV6ZCZE+uGWftGIDvBCUUUVrukeZvcKKqVCgMZTgcoq0/FgRab78PT0xPHjx532zbBKpcLAgQOxc+dO3HrrrfLlO3fuxC233OLAyFyXp1KBMK0aV4p1yCyqcPmEly1Wabj00vKaKtJQVmTaVKdQX3ngz4WcUrPJ5KIo4q+aSs2+sdZNZEoVmeV6A4oqquzWK9uRjEbTa4+OHTvi4MGDCAkJcXBERERErqX+1I9mLF68GIsWLcLx48eh0Wjw1Vdf4fLlyxg7dizuuOMOW8To1KKtUJEp9ch094rMhRNM1VFLb+7l4EjaH5WHKVHXUEWmVP3T2mFVLdElzFf+f5+aZWmD4oNwbc9why0D9alTlckeme7lnnvuwbp16xwdRqMWLlyIDz/8EB999BFOnTqFBQsWIDU1FTNnznR0aC6rdmCIa/fZqzv8r4MVn5OlJGCOKy4tr0m+hrh4gtrZKRUCetdUWx66VGB23cXcMuSU6KBSKtAryrqJTI2nUh7iZM3H7yf7UzDx9T2Yv/EwisqrrLZfa0pOTmYSk4iIqBUsrsg8deoUvvjiC9MPe3igoqICvr6+WL58OW655RY8+uijVg/SmUlVbFlFlag2GOGhtDg3jEvtZGn59CEdcEPvyHYxddTZqGsG/jS1tNyWFZnX9gxHYrQ/YoO8EO8kvWC91UrUPPRYkelm9Ho9PvzwQ+zcuRODBg2Cj4/5c6ujW6DceeedyMvLw/Lly5GZmYnevXtj27ZtiIuLc2hcriw6wAtHLhe6fJ89qRozTKuu1wKjLUJcuEfmlZpEZhgTmTY3vFMwfk/Ox6/nc/H3IR3ky/dfyAMADIgLgMYG58tIfw3yy/TILKpAQlTbe3V/eSgNz31zAgBw5koJiiqqsH7GYKet1CciIiLLWPwq2cfHBzqd6UVlVFQULly4gF69TBV2ubm51o3OBYRpNfBUCqgyiLhSokN0gGXJoKLyKhTUfFLs7sN+BEFgEtNBpMnlDS0tl5YahtvwTaKfxhP/nTvKZvtvjboVmeyR6V6OHz8utzo5e/as2XXO8kZ21qxZmDVrlqPDcBu1ffZcPJGZb5vhf6Eu3CMzu9hUpRfmp3FwJO5vVNcQvPnjOey7kGc2OGv/RVMic3gn21QPRgd44URGMdKt8EFEub4aK7adAgDcmBiJnaeuYNeZHOy/mIcRnVn9SERE5A4sLh8cNmwYfv31VwDAjTfeiEWLFuGll17C/fffj2HDhlk9QGenVAhyf5+0fMv7ZF7KN5WEhWptN2iFSOpL2lBFZn6ZaWBXUDvrP1Y3eWmLChNynJ9//rnRr59++snR4ZENRAa4x9Ly1Joy8Q5B1l2hIfXILNcbUKartuq+bS3bDh+2kUm/2AD4qJTIL9PjeIapJ2ZllQG7z+QAMCU6bUFq05TehjZNkv/+lYG8Mj06BHnjjWn9MG1wLABgw76UNu/bma1YsQKDBw+GVqtFWFgYpkyZgjNnzphts3nzZkycOBEhISEQBAFHjhxp0b7feOMNdO/eHV5eXoiNjcWCBQtQWWn+XLtmzRp07NgRGo0GAwcOxC+//GKtX42IiKgeixOZq1evxtChQwEAy5Ytw/jx47Fp0ybExcU5dU8yW2rL5PLa/pjuXY1JjtVURaaUyAxuZ9WydT84YI9M95WWlob09HRHh0E2FlVTkZnh6hWZNhj0A5ie76QWGq60vFwURVxhRabdeCoVGNs9FADwzZEMAMAv53JRqqtGhJ8G/WMDbHK7tYMz2/74/fy3VADAXUM7wFOpwLTBpiXyP5/JQUml8/TKrK6uxoYNG5CVlWWV/e3evRuzZ8/GgQMHsHPnTlRXV2PChAkoKyuTtykrK8PIkSOxcuXKFu/3s88+w9NPP42lS5fi1KlTWLduHTZt2oTFixfL22zatAmPPfYYlixZgsOHD2P06NG44YYbkJqaapXfjYiI6GoWlwB26tRJ/r+3tzfWrFlj1YBckbScvDUvwKQ3Le7eH5McS6VsvEemXJHZzhKZdSsyubTcvRiNRrz44ot47bXXUFpaCgDQarVYtGgRlixZAoXC8l7G5NykJFd2sesk6Rpiq6XlgKkqMzW/HDklOsS5yGuOUl01yvUGAOyRaS9T+8dg27EsfHMkHY9P6I5PD1wCANzYJ9Jmw/nk19FtXFqeVlCOv9KKoBCA2wbGAAB6RmrRKcQHF3PLsOdsLm7sE9nmeK3Bw8MDjz76KE6dOmWV/W3fvt3s+/Xr1yMsLAyHDh3CmDFjAAB33303ACAlJaXF+92/fz9GjhyJ6dOnAwDi4+Px97//Hb///ru8zerVq/HAAw/gwQcfBGCq4Pz++++xdu1arFixoi2/FhERUYMsfje3ZMkS7Ny5E+Xlli+jdle1nyRbfkxSpEE/Ia7xpoJck6qRYT9Go4iC8nZakVmnRyaXlruXJUuW4J133sHKlStx+PBh/Pnnn3j55Zfx9ttv49lnn3V0eGQD4X61PSBFUXRwNK2XKldkWv81gbS83JX6ZErLyrVqD7bfsZOx3UMRHeCF3FI9/rHuN+w+mwOFANw7PN5mtxkjLy1v23uLn05nAwAGxgUipKZdjiAIGNPNVGW674Jz9fIfOnRoi5d3W6qoyNQaICgoqE37GTVqFA4dOiQnLi9evIht27bhxhtvBGAarnfo0CFMmDDB7OcmTJiAffv2tem2iYiIGmPxq8JDhw7h7bffhk6nw4ABA5CUlISxY8di1KhR8PX1tUWMTk9+AdaKT5JttYyMqC7PRioyCyuqYKx5zx/YzhKZ3ura5KWfxtOBkZC1bdiwAR9++CEmT54sX9a3b19ER0dj1qxZeOmllxwYHdmClKTTG4woqqhCgLfrPZ9VVhmQVbOMOi7IBhWZ0sAfF1paXrusnNWY9uKpVGDJjT0x67M/cehSAQDgnuHx6GDD16nS6+jcUj0qqwyt/nBx58krAIBre4abXT6ySwg+3pciT193FrNmzcLChQtx+fJlDBw4ED4+5h9g9OnTp1X7FUURCxcuxKhRo9C7d+82xTht2jTk5ORg1KhREEUR1dXVePTRR/H0008DMA16NRgMCA83P+bh4eGNLpvX6XTy4FgAKC4ublOMRETU/licyNy+fTsMBgN+//137N69G7t27cKaNWtQUVGBAQMG4MCBA7aI06m1pbfPJaki00WWeZFrUtdUZFZd1SMzv8z0QtJP4yEnO9uLuhWZ/l5MZLqT/Px89OjRo97lPXr0QH5+vgMiIltTeygR6O2JgvIqXCnWuWQiU+qZ7e/liQBv6z8nScleV1p+L8UapmV/THualBiJf97eB18eSsPAuEA8dl03m96ev5cnfNUeKNVVI62gAl3CLC+M0Fcb8Vuy6fn92h5hZtcN6RgEQQAu5pYhu6TSae5Pd955JwBg3rx58mWCIEAURQiCAIPB0Kr9zpkzB0ePHsXevXvbHOOuXbvw0ksvYc2aNRg6dCjOnz+P+fPnIzIy0myFgyCYtx2QfoeGrFixAs8//3ybY5NvC65bhU9ERK3TqnU6SqUSw4cPR1BQEAIDA6HVavH111/jwoUL1o7PJUjTFjMKK5o8cV+tpLIKuaWmZb2syCRbamzYT1GFqfG9K77pb6u6A35skTQgx+nbty/eeecdvPXWW2aXv/POO+jbt6+DoiJbC9NqUFBeheySSnSP0Do6HIudyzb1c+0S5tvi1xGWkHpMZpe4zmR3KdZwVmTa3R2DYnHHoFi73JYgCIgO8MKZKyVIL2xdIvNkZjH01UYEenvW+3l/L090CfXFuexSHEsrwrU9nSORmZycbPV9zp07F1u3bsWePXsQExPT5v09++yzuPvuu+X+l4mJiSgrK8PDDz+MJUuWICQkBEqlsl71ZXZ2dr0qTcnixYuxcOFC+fvi4mLExtrnvkZERO7B4kTm2rVrsXv3buzevRsGgwGjR4/G2LFj8eyzz7Z6CYSrC6xJglQbRZTpDfBtYR+nlFzTsvIQXxW0XNpKNtTYsJ+SymoAgFbT/nqPSZXUAFr8mCXX8Morr+DGG2/EDz/8gOHDh0MQBOzbtw+XL1/Gtm3bHB0e2UiYnxpnrpTgioMqDkVRxJHLhfBWebQqkXq+JpHZtRVJnJaQlmdnu1CPTOlvGc6J5W4vJtCUyGxNv3kA+LNmGXz/DoENfhCQGOOPc9mlOJpWVG/puaPExcVZbV+iKGLu3LnYsmULdu3ahY4dO1plv+Xl5fUG5CmVSoiiCFEUoVKpMHDgQOzcuRO33nqrvM3OnTtxyy23NLhPtVoNtZofThARUetZ/O599uzZCA0NxaJFizBz5kz4+fnZIi6X4uWphFIhwGAUUVJZ1eKkyMVc05uWjhz0QzYmLRvXXZXILNWZEpntcYjChF7h6HsgAGO7hdqk+okcZ+zYsTh79iz+7//+D6dPn4Yoipg6dSpmzZqFqKgoR4dHNiItF3VExaGu2oCHPzmE3WdzAAB3DorFiqmJFk15Pp9dAgCtqkZrCen4uNKwn9oemUxkurtoeeBP6yaXH75cCADoHxvQ4PV9ov2x+c90HE8vatX+beXChQt44403cOrUKQiCgJ49e2L+/Pno3LmzRfuZPXs2Pv/8c3zzzTfQarVyhaS/vz+8vEzHNj8/H6mpqcjIyAAAnDlzBgAQERGBiIgIAMA999yD6Ohoedr4zTffjNWrV6N///7y0vJnn30WkydPhlJpWtmycOFC3H333Rg0aBCGDx+O999/H6mpqZg5c2bbDxAREVEDLM5ebN68GXv27MHGjRvx3HPPoW/fvkhKSkJSUhJGjx7dLgf+CIIAP40HCsqrUFJZjUj/lv2cVJHJRCbZmqqRHpllNYlMbTtMZPppPPHN7JGODoNsJCoqikN92hlp+bEjekC+9eM5ebqzUQQ2/XEZ8SE+eDSp5cmI83WWltuC3CPThRKZtT0yWb3l7qSBP63pNw+YV2Q2JDHG9OL8rzTnSWR+//33mDx5Mvr164eRI0dCFEXs27cPvXr1wn//+1+MHz++xftau3YtACApKcns8vXr12PGjBkAgK1bt+K+++6Tr5s2bRoAYOnSpVi2bBkAIDU11awC85lnnoEgCHjmmWeQnp6O0NBQ3HzzzWbn1zvvvBN5eXlYvnw5MjMz0bt3b2zbts2qFadERER1WZy9mDJlCqZMmQIAKCoqwi+//IIvv/wSt9xyCwRBMJtC155oNZ41icyqFv9MslyR2f6Sv2Rfco/MRpaWt8eKTHJvhYWFWLdunVzlkpCQgPvvvx/+/i38pIlcjqN6QOaW6rBur6nX3TvTB6C4ogpPbz6GN388i1v7RyPCv/lqwmqDUR72Y7OKzJpEb16pDgajCKUF1aItkVVUif/8cRkB3p64Y1BsqydP11XbI5MVme5OaveSXmh5IjO7uBLphRUQBKBvbMPP8T0jTSvIckt1yCvVIdjX8cnxp59+GgsWLMDKlSvrXf7UU09ZlMgUxeYH3syYMUNOajZm165dZt97eHhg6dKlWLp0aZM/N2vWLMyaNavZGIiIiKyhVdmL/Px8eWL5rl27cPz4cQQHB2Ps2LHWjs9lSD0Gi2sSQy0hvWlhRSbZWmOJzDKdaSKmbzvskUnu648//sDEiRPh5eWFIUOGQBRFrF69Gi+99BJ27NiBAQMGODpEsgEp2WXvHpnfHMlAZZURidH+uKG3aXnml4fS8MelArzz8zm8OCWx2X1cyi9HlUGEl6cSUf5eNokz2EctV4zmleqsulz7cn45pvzfr8grMw0w/PZoJj59cKjc1qQ1RFGs0yPT8Uknsq3ogNYvLZeWlXcL0zbac95b5YGYQC+kFVTgfHapUyQyT506hX//+9/1Lr///vvxxhtv2D8gIiIiF2HxK8w+ffogLCwMjzzyCNLT0/HQQw/hr7/+QnZ2Nv7zn//YIkaXICcyK1pWkSmKIi4ykUl2Ig/7MVzdI9N0f+WwG3InCxYswOTJk5GSkoLNmzdjy5YtSE5Oxk033YTHHnvM0eGRjdQOs7FvRebXh9MBAH8bFANBECAIAhZN6A7AlNAsKm/+dcGpzGIAQLdwX4v6alpCqRDk5I21l5c/vfko8sr0iA3ygq/aA78l5+ODXy62aZ8lumpUVJk+bJP6e5L7kpaWXymprPeha3P+TDUtKx8QF9DkdtIgrXM1bRwcLTQ0FEeOHKl3+ZEjRxAWFmb/gIiIiFyExdmLhx9+GElJSejdu7ct4nFZ0ifAJS2syMwp1aGkshoKAYgL9m7+B4jaQEpkXt0jUxr2w0QmuZM//vgDH3zwATw8au/XHh4eePLJJzFo0CAHRka2JCW7rhTrIIqiXYZ4ZRRW4Fh6ERQCcGOf2kFSwzoFoWekH05lFmPTH6l4eEzTvTKPp5sSmb2jbdv6IEyrRk6JribZa53bOnQpH7+ez4OnUsBnDwzDwZR8LPrPX1i76wLuHhbXaIVcc7JrBv1oNR7wUrV9mTo5tyAfFTSeClRWGZFZVIG44JZ/yH84tRAA0D+24f6Ykq7hWvx8JkfuR+toDz30EB5++GFcvHgRI0aMgCAI2Lt3L1atWoVFixY5OjwiIiKnZXFF5pw5c6yWxFy7di369OkDPz8/+Pn5Yfjw4fjf//4nXy+KIpYtW4aoqCh4eXkhKSkJJ06csMptW5s0LKVc37JEpvQiKjbI2yp9pIiaIi0trz+1vGZpOROZ5Eb8/PyQmppa7/LLly9Dq9U6ICKyB2mYjb7aiOKKlrd5aYtfz+cCABJjAhDko5IvFwQBM0aYBl18sv8SjMam+9edyDANILFHIhOw7kCkDfsuAQBu7R+NDsHemNI/Gp1CfVBSWY2tf2W0er/phaZEprTkmNybIAiIremTmZpf3uKfqzYYcTStEADQv0NAk9vWVmSWtCpGa3v22Wfx3HPP4e2338bYsWMxZswYvPPOO1i2bBmWLFni6PCIiIicVuubF1lBTEwMVq5ciT/++AN//PEHxo0bh1tuuUVOVr7yyitYvXo13nnnHRw8eBAREREYP348Skqc4wVIXZqaaoEKfcuWw1yQppOGctAP2V5jPTJLK7m0nNzPnXfeiQceeACbNm3C5cuXkZaWho0bN+LBBx/E3//+d0eHRzai8VTC38tU/XfFTsvL913IAwCM6hJc77rJfaPhp/FAWkEFdp/LaXQfoijiWHpNIjPK1olMU9WqtZaWV+gN+OHUFQDA9KGmxK1SIWD6kA4AgE0HL7d635k1Q18iWzAsidyDVIWZUtN6qSVOZ5WgssoIrcYDnZt5Td013PRB1rkrzlGRKQgCFixYgLS0NBQVFaGoqAhpaWmYP3++XSrKiYiIXJVDE5k333wzJk2ahG7duqFbt2546aWX4OvriwMHDkAURbzxxhtYsmQJpk6dit69e2PDhg0oLy/H559/7siwG+RVU1VZXtWyKpALObadTkpUlzRwQV9tREGZHq/vPIvUvPLapeUc9kNu5NVXX8XUqVNxzz33ID4+HnFxcZgxYwZuv/12rFq1ytHhkQ1JQ2GsWXHYlP01icyRnUPqXeelUuK2gTEAgM8O1K8QlqQVVKCwvAoeCgHdImz7msDafUR/Op2Ncr0BsUFe6BtTm4S9tX80FAJwNK0Ily2orqsroyaRGcWKzHajY4ipIjM5t+X3mcM1/TH7xQY0219Wes2dXaJDcWXLetrbQ05ODv766y8cPXoUubm5jg6HiIjI6Tk0kVmXwWDAxo0bUVZWhuHDhyM5ORlZWVmYMGGCvI1arcbYsWOxb9++Rvej0+lQXFxs9mUP3jUVmZV6Q4u2v5Bj+jS4UygH/ZDtSRWZVQYjPtx7EW/+eA4L/n1EXlruw4pMciMqlQpvvvkmCgoKcOTIERw+fBj5+fl4/fXXoVY7flIt2U5txaHtKzKvFFciq7gSCgHo36Hh3nx31VQp/nT6CtILG57GfOiSKRGTEOUHtYdtW81Ye2n5jzXVmJN6R5pVkAX7qjGkYxAAYMfJK63at7S0nInM9qNjiCnRmJzb8opJuT9mI4/BunzVHgipGXiVmte6BLs1lZWV4f7770dkZCTGjBmD0aNHIzIyEg888ADKyx0fHxERkbNyeCLz2LFj8PX1hVqtxsyZM7FlyxYkJCQgKysLABAeHm62fXh4uHxdQ1asWAF/f3/5KzY21qbxS6Q+l+UtTGQm1yyb6cSl5WQHao/aqeWf1lQGHbpUwKnl5Na8vb2RmJiIPn36wNubQ9XagxBfU5/K3FLbV2QeTTMtB+8Wrm10GE2XMF8M7xQMowhs/L3hqszfkk1VnUNrEn+2FGrFpeWiKOLXC6bqsTHdQutdPyEhAgCw40Tjr9maklkkVWRyaXl7EV9TkZliQZJRnljeTH9MiTRgMyWv5cvXbWXhwoXYvXs3/vvf/6KwsBCFhYX45ptvsHv3bg77ISIiaoLF2YujR482eLkgCNBoNOjQoYNFFS/du3fHkSNHUFhYiK+++gr33nsvdu/ebbbfupqbRLp48WIsXLhQ/r64uNguyUypIrOiqvlEZmWVQa7M6BjCikyyPVWdpeV1Hz5lHPZDbmLq1Kkt3nbz5s02jIQcSaq2yrFSD8imyH0tmxnQc9ewDth/MQ8bD17GvGu7yq0+JAcu5gMAhnas32fT2qSl5dY4PhdyynClWAe1hwID4+pXw13XMxzLvz2JQ5cKUKartrjyX15a7s+KzPZCek18Ob8c1QYjPJRN11vkl+nlpGe/2IAW3UZcsDcOXSrAJSeoyPzqq6/w5ZdfIikpSb5s0qRJ8PLywt/+9jesXbvWccERERE5MYuzF/369Wsykejp6Yk777wT7733HjSa5j9FV6lU6NKlCwBg0KBBOHjwIN5880089dRTAICsrCxERkbK22dnZ9er0qxLrVY7ZOmg1COzsgWJzO9PZEEUTcnP4DpTTolspW6PTI86PaTKanpk+qhtu5yRyNb8/WuTSaIoYsuWLfD398egQYMAAIcOHUJhYaFFCU9yPSE1S6dzS/U2v61jNZOSE5tJZE5IiECIrxo5JTrsPHkFkxJrX9OkFZQjObcMCgEYHG/7ikxpaXlOia7ZD4abI01sHxQfKK9KqatDsDdig7xwOb8Cvyfn45oeYS3etyiKyCji0vL2JlyrgcZTgcoqI9IKKhDfzIf9Un/MTqE+CPBu2evpuCDTPi85QUVmeXl5g+9pwsLCuLSciIioCRYvLd+yZQu6du2K999/X+499v7776N79+74/PPPsW7dOvz000945plnWhWQKIrQ6XTo2LEjIiIisHPnTvk6vV6P3bt3Y8SIEa3aty1Jy8pasrT8y0NpAACFIHAqIdmFPLXcIAKovc/paqaY+6hYkUmubf369fJXeHg4/va3vyE5ORmbN2/G5s2bcfHiRUybNg0hIfWHspD7kCoy7bG0/Fi6qQd3YkzTiUyVhwJ3Dq4Z+vPbJbPrvj9h6h85OD4I/t6eNojSXGhNIlNvMKKwvG3DTqQl8SMaGHQkkYYg7btg2QCTvDK9vIIgglPL2w2FQkB8zeTy5BZMLpf6Yw5oQX9MibS03BkqMocPH46lS5eisrK2p29FRQWef/55DB8+3IGREREROTeLsxcvvfQS3nzzTUycOFG+rE+fPoiJicGzzz6L33//HT4+Pli0aBFeffXVJvf1//7f/8MNN9yA2NhYlJSUYOPGjdi1axe2b98OQRDw2GOP4eWXX0bXrl3RtWtXvPzyy/D29sb06dMt/01tTKrIbMnScil5NLor31CTfciJzGoDALHe9d6syCQ38tFHH2Hv3r1QKmvv10qlEgsXLsSIESPwz3/+04HRkS1JPTJtvbQ8r1SH3FIdBAHoEaFtdvu/D+mANbsu4NfzebiYUyr3x/72aAYAYGKvCJvGK1F7KBHg7YnC8ipkl+gQ2IZVIdLS+v5NLOkd3jkYGw9exq/n8yzat7SsPEyrrrcUn9xbxxAfnM4qQXJuGa5pZtvDl00Vmf1b2B8TcK5E5ptvvonrr78eMTEx6Nu3LwRBwJEjR6DRaPD99987OjwiIiKnZXEi89ixY4iLi6t3eVxcHI4dOwbAtPw8MzOz2X1duXIFd999NzIzM+Hv748+ffpg+/btGD9+PADgySefREVFBWbNmoWCggIMHToUO3bsgFbb/JsGe5MqMitaUJEpDV65rmfjS+SJrElVZ9jP1VXDHgpB7qFJ5A6qq6tx6tQpdO/e3ezyU6dOwWg0OigqsofaikzbLi0/n22aqhwd4AXvFlS0xwR645ruYfjpdDbe3X0Br9zeF0fTCnE4tRCeSgE39Ylsdh/WEqZVo7C8CjklOnRvQRK2IUXlVbicb0o29opqvCJVqtY8mVmM/DI9glqYOJUSmZHsj9nuSMvJLzYzudxgFHGkVRWZpv1nFVeissrQYFsEe+nduzfOnTuHTz/9FKdPn4Yoipg2bRruuusueHnxvk9ERNQYixOZPXr0wMqVK/H+++9DpTK9IK2qqsLKlSvRo0cPAEB6enqTfSwl69ata/J6QRCwbNkyLFu2zNIw7c6SisyCctMbrJa+oCdqKylRWaGvn8j0UXuwxQG5lfvuuw/3338/zp8/j2HDhgEADhw4gJUrV+K+++5zcHRkS9LS6fwyHQxGEUqFbZ7bzueYkixdwnxb/DOPJnXGT6ez8e8/0jAwLhD//sPUZuamPlEI87Pf8ukwrQZnr5Qiu6Sy+Y0bcSLTVI0ZG+TV5JL4UK0aXcN8cS67FL8n5+H63i1L2KYVmBKZ0eyP2e50Czc9ps5mNZ3IPHulBGV6A7xVSnQLb3lCPtDbE1qNB0oqq5GaX27Rz9qCl5cXHnroIYfGQERE5GosTmT+3//9HyZPnoyYmBj06dMHgiDg6NGjMBgM+PbbbwEAFy9exKxZs6werDOzpCKzoMzUlyrADv2wiIDaikwpiV6Xj4rLysm9vPrqq4iIiMDrr78urw6IjIzEk08+iUWLFjk4OrIl6QNCo2h6vpMqNK1NqsjsEtryRObg+CDcMzwOn+y/hKe+Mq1g8VYpsWhCN5vE2Bhp4E92G5bfn6jpD9orsun+oAAwrFMwzmWX4sDF/BYnMlPzTct+O9QsA6b2o0eEHwDgVFZxkwOpDl2qXVZuyQcWgiAgLtgbx9OLcSnP/onMrVu3tnjbyZMn2zAS98MP5YmI2g+LE5kjRoxASkoKPv30U5w9exaiKOL222/H9OnT5SXfd999t9UDdXaWVGQW1iSTAls4YZGoraSKTIOxof6YHPRD7kWhUODJJ5/Ek08+ieJiU8LFz8/PwVGRPXgqFQj09kRBeRVyS3U2T2R2DW95IhMAnrspAQpBwOe/pyJMq8Y/b++LmED7JutC/WoSmcVtSGRmmCoye0c3/7ga1ikY/zpwCQcutrxPptS/MC6Iicz2pnOoLzwUAkoqq5FRVNloVe6fNYnMgXFBFt9GdIAXjqcXI73A/n0yp0yZYva9IAgQRbHeZQBgMDT/noKIiKg9alVjPF9fX8ycOROrV6/G66+/jkceecQp+1baU0srMvXVRpTVbMNEJtmLVJHZEFZkkrsZN24cCgsLAZgSmFISs7i4GOPGjXNgZGQPcp/MEtv1yZQrMi1YWg4AHkoFlk3uhTMvXI+9T43D8M7BtgivSWFa0zL2K21YWn48o6YiM7r5iswhHU2JpjNXSuQPcpvDisz2S+WhkB9XZ7KKG93uDzmR2fL+mJLoANP9Kr2mF6s9GY1G+WvHjh3o168f/ve//6GwsBBFRUX43//+hwEDBmD79u12j42IiMhVtKoU6+zZs9i1axeys7PrDU547rnnrBKYq/H2NB3KaqMIfbWx0cSR9CJeIQBaDSvhyD6amvrqw4pMcjO7du2CXl8/YVJZWYlffvnFARGRPYX4qnEuuxS5pbaZXF5SWYXMIlMSsEto6z7EdeQSyEh/UyIzq6h1icxyfTUu1PQI7RXVfEVmqFaNLmG+OJ9dit+S85ud0G4wikirqZSTBrNQ+9I9QovTWSU4lVmCcT3q99zPLqlEan45BMGyieWS6EBTlacjEpl1PfbYY3j33XcxatQo+bKJEyfC29sbDz/8ME6dOuXA6IiIiJyXxRmMDz74AI8++ihCQkIQERFh9mJcEIR2m8jUqGoTRZXVhkYTmQXlUn9MFRQ2GkJAdLWmKjJbMnGXyBUcPXpU/v/JkyeRlZUlf28wGLB9+3ZER0c7IjSyoxCtNLncNonM5Nwy0+34qpscdOOspERmZiuTOKcyiyGKpl6bUnVnc4Z1CsL57FIcuJjXbCIzo7ACVQYRKqUCEXYcgkTOo0eEH75BBk5lNlyR+eelQgBA93At/DSWPwal5erpha2vSraGCxcuwN+/flWzv78/UlJS7B8QERGRi7A4g/Hiiy/ipZdewlNPPWWLeFyWSqmAQjANGKjUGxp9YSUNW+GgH7IndVNLy9VcWk7uoV+/fhAEAYIgNLiE3MvLC2+//bYDIiN7CvE1tW3JsVEiU+rfGO+iy56japI4WcWVqDYY4dFExX5DTtQsK+/dgmXlkqEdg/HpgVT8djG/2W2lZeWxQV42mzpPzk3qvXrkcmGD10v9VluzrBwAYqSKzALHVmQOHjwYjz32GD799FNERpoGYWVlZWHRokUYMmSIQ2MjIiJyZhYnMgsKCnDHHXfYIhaXJggCNJ5KlOsNqKwyNrpdQRkH/ZD9qT0UUCqEBof9cGk5uYvk5GSIoohOnTrh999/R2hoqHydSqVCWFgYlEom7t2drXtkyv0bXXQQTYivGh4KAdVGEdklOjmx2VLH002DflqyrFwytJOpT+aprGIUlVc1WcmakmeqeOWy8varf4dAKAQgraACV4orEX5VZe7e87kAgNFdQ1q1f6kiM7dUh8oqAzSejjkvfPTRR7j11lsRFxeHDh06AABSU1PRrVs3fP311w6JiYiIyBVYnMG44447sGPHDsycOdMW8bg0r5pEZlOTy6Wl5YGsyCQ7EgQBPioliiur613H+yK5i7i4OACo17uZ2pdQX9suLb/s4oNolAoB4X4apBdWILOoohWJzJpBP1Etr8gM02rQOdQHF3LK8HtKPsYn1O97KEnOkRKZrnl8qe181R7oEeGHk5nF+COlADf2iZSvyyyqwPnsUigEYHjn1iUyA7w94a0yvWbPKKxAp1DLhnZZS5cuXXD06FHs3LkTp0+fhiiKSEhIwHXXXefQPrpERETOzuJEZpcuXfDss8/iwIEDSExMhKeneRJk3rx5VgvO1Uif6DadyDRViAT5sCKT7MtX7SEnMkN8VcgtZXUwuadPPvmkyevvueceO0VCjhCiNT2n2SqR6eoVmYCpIi29sAIZhZUYGNfyn9NVG3AuuwRA7fLflhraKRgXcspw4GJek4nMszUT4buGtW6QErmHQfGBOJlZjIMp+WaJzF/Omqox+8QEwN+rdR/ECoKA6AAvnMsuRboDE5lSLBMmTMCECRMcFgMREZGrsTiR+f7778PX1xe7d+/G7t27za4TBKFdJzK9VDWJTH3jicx8aWk5E5lkZ3WXkEcHeMmJzNa+ESByVvPnzzf7vqqqCuXl5VCpVPD29mYi082F2Lgi0x0SmZEBNQN/iizrEXjuSimqDCL8vTzl5bktNaxTMD7/LVXub9iY81dMidJu4Y5LLpHjDesUjE/2X8Keszlml28/YRriltQ9tKEfa7HowJpEpoP7ZP7444/48ccfkZ2dXW81wUcffeSgqIiIiJybxYnM5ORkW8ThFrxqKjIrm6rIrElkBrEKjuysbiIzJtAbf6WZ+pyF1kz4JXIXBQUF9S47d+4cHn30UTzxxBMOiIjsSUpk5pXqYTSKUFhxYEyVwYiMmmnfLp3I9DclITMsnNos9cfsHe1n8dLXYR1NfTJPZhajqKKqwQ/RSiqrkFFkiqlrOCsy27PRXUOgUipwMbcM57NL0SXMF0XlVfjlnCmxeWNiZDN7aFqUPLnccYnM559/HsuXL8egQYMQGRnJ5eREREQtxCkfVqTxNE3+bMnSclZkkr351klk9osNwM6TV6A3GNGNbxapHejatStWrlyJf/zjHzh9+rSjwyEbCq6ZWl5tFFFUUWXV8216QQWMoul878ofAkW1siLzeEZNItOC/piSMD8NOoX44GJuGQ4m5+O6BpaXn6tZVh7up+ZqgXZOq/HE8M7B2H02B1v/ysDC8d3w1Z9pqDKI6BGhbXOiW6oodmRF5rvvvouPP/4Yd999t8NiICIickUtSmQuXLgQL7zwAnx8fLBw4cImt129erVVAnNFmmYqMlfvOIOfz5g+SQ5mIpPszEddO5UzzE+Nrx4dAV21weJBD0SuSqlUIiMjw6ExxMfH49KlS2aXPfXUU1i5cqWDInI/ag8l/L08UVRRhdxSnVUTmXWXlbty9ZRUkZlZZFlF5okM06CfBAsmltc1tFMwLuaW4bfkvIYTmfKycn7ARsBtA2Ow+2wOPv/tEmaMiMe6vaZVYXcPt6CxayNiAk2PgTQHVmTq9XqMGDHCYbdPRETkqlqUyDx8+DCqqqrk/1PDvJoY9lNZZcBbP52Xv48JdN0laeSa6i4t12o8kBhjeUUNkSvYunWr2feiKCIzMxPvvPMORo4c6aCoai1fvhwPPfSQ/L2vL3sBWluIrwpFFVXIKdVZdYmyO/THBIBIf1NFZoYFSZxqgxGnMk2JzN7RrTt/DOsUhC9+T8WBi/kNXn+sZul6jwgmMgm4oXcEYgK9kFZQgVGrfkK53oBIfw2m9o9p876doSLzwQcfxOeff45nn322zftasWIFNm/ejNOnT8PLywsjRozAqlWr0L17d3mbzZs347333sOhQ4eQl5eHw4cPo1+/fk3uNykpqd5MBACYNGkSvvvuOwDAsmXL8Pzzz5tdHx4ejqysrDb/XkRERA1pUSLz559/bvD/ZK6pYT85JeZDB1z9TRC5nrp9Wf29WBFM7mvKlClm3wuCgNDQUIwbNw6vvfaaY4KqQ6vVIiIiwtFhuLUQXzUu5JTJQ82s5XJNIjPWxc/hUiV+bqkeumoD1B7KZn4CuJhbhsoqI3xUSnQM9mnV7Q7rFAwAOJFRhOLKKvhpzJePH7lcCADoFxvYqv2Te/FUKvDK7X1w70e/o1xvgKdSwCu395Ffb7dFdE1FZlZxJQxGEUor9tJtqcrKSrz//vv44Ycf0KdPH3h6mj8eLFnltnv3bsyePRuDBw9GdXU1lixZggkTJuDkyZPw8TE9XsvKyjBy5EjccccdZh+mNWXz5s3Q62ufR/Py8tC3b1/ccccdZtv16tULP/zwg/y9Utn2vxEREVFjLO6Ref/99+PNN9+EVmv+aXlZWRnmzp3brifsNTXs50px7fKtVbclWuVFGJEl6i4hl6pxiNzR1ZNfnc2qVavwwgsvIDY2FnfccQeeeOIJqFT8cMGaQmr6V+aWWHdyuVSRGeviqyoCvT2h8VSgssqIzMJKxIc0n5g8UdMfs2ekX6sHKIX7adAxxAfJuWX4IyUf43rULi+vrDLgdKZpaXnfWK4YIJMRnUPw3bzR+PV8LkZ2CbFa24EwrQZKhQCDUUR2SaXcbsGejh49KldEHj9+3Ow6S1tXbN++3ez79evXIywsDIcOHcKYMWMAQO7FmZKS0uL9BgUFmX2/ceNGeHt710tkenh48AM6IiKyG4sTmRs2bMDKlSvrJTIrKirwySeftOtEpqaJpeWF5aal+X1jA3Dn4A52jYsIADqGmt6oajwVCHPhIRVELZWbmwtBEBAcHOzoUGTz58/HgAEDEBgYiN9//x2LFy9GcnIyPvzww0Z/RqfTQaerTcgVFxfbI1SXFlozuTy31LqJTGkpttRfz1UJgoCYQG+czy7F5YLyFiUyj6e3bVm5ZFinICTnluHARfNE5omMIlQbRYT4quRlv0SAqWeqtfumKhUCIvw0SC+sQEZhhUMSmbZc5VZUZPrg4epEZFutW7cO06ZNk6s8JefOnUNUVBTUajWGDh2Kl19+GZ06dWpwHzynERFRWylaumFxcTGKioogiiJKSkpQXFwsfxUUFGDbtm0ICwuzZaxOr3bYT/1qoCqD6TK1ssWHnMiqRncJwTM39sR7dw+CB++H5KYKCwsxe/ZshISEIDw8HGFhYQgJCcGcOXNQWFhok9tctmwZBEFo8uuPP/4AACxYsABjx45Fnz598OCDD+Ldd9/FunXrkJeX1+j+V6xYAX9/f/krNjbWJr+HOwmpmVxu9URmzXAcdxiSFlezPP5SXnmLtj9e07+yVysH/UiGdjR9sPDbRfP7/K/nTd8Pigty6UFK5DrkPpmFlg29cnaiKGLhwoUYNWoUevfubbX9/v777zh+/DgefPBBs8uHDh2KTz75BN9//z0++OADZGVlYcSIEY2e13hOIyKitmpxRWZAQID8hqxbt271rhcEoV6j5/amqWE/+ppEpqcHX5yTY3goFXhwdMOfjhO5g/z8fAwfPhzp6em466670LNnT4iiiFOnTuHjjz/Gjz/+iH379iEw0Lr99+bMmYNp06Y1uU18fHyDlw8bNgwAcP78+UYrRxcvXoyFCxfK3xcXF/ONXzNC5IpM6/XI1FUb5H7X7tCeo0OwlMgsa3Zbo1HEyZqJ5b2i2lqRabqfH00vQnphhZxM+uVcDgBgTLfQNu2fqKWiAiwfemUNU6dObdF2mzdvbtX+58yZg6NHj2Lv3r2t+vnGrFu3Dr1798aQIUPMLr/hhhvk/ycmJmL48OHo3LkzNmzYYHbukvCcRkREbdXiRObPP/8MURQxbtw4fPXVV2ZLFVQqFeLi4hAVFWWTIF2Fl8pU5VbZwLAffbUpkaliJRwRkU0sX74cKpUKFy5cQHh4eL3rJkyYgOXLl+P111+36u2GhIQgJCSkVT97+PBhAEBkZGSj26jVaqjVbAdhiRAbLC2/UmTal9pDgSAf1+9pGl8zsKclFZmXC8pRoquGSqlA13DfNt1uhL8GwzoF4cDFfGw+lIa513ZFTokOf6YWAgBGd23dY4nIUlJltb0Tmf7+tusBO3fuXGzduhV79uxBTEzbp7tLysvLsXHjRixfvrzZbX18fJCYmIhz5841eD3PaURE1FYtTmSOHTsWAJCcnIzY2FgoFEzIXa2piswqgwjANIGRiIis7+uvv8Z7771XL4kJABEREXjllVcwc+ZMqycyW2r//v04cOAArrnmGvj7++PgwYNYsGABJk+ejA4d2DvZmqRhPzlWHPaTUWRKdkT6a9xi6bNUkSkNMGqK1B+zR6TWKq9j7hgYiwMX8/HF76l4aEwnbDmcBoNRRL/YAJefCE+uw1GJzPXr11t9n6IoYu7cudiyZQt27dqFjh07WnX///73v6HT6fCPf/yj2W11Oh1OnTqF0aNHWzUGIiIiicXDfuLi4gCYPplLTU2FXm++bKtPnz7WicwFNTXsp0peWs5EJhGRLWRmZqJXr16NXt+7d29kZWXZMSJzarUamzZtwvPPPw+dToe4uDg89NBDePLJJx0Wk7sKrUlk5pXqIYqiVRKPmTWJTHfojwnU9shMzS9v9hgds1J/TMmNfSLxz+/PIKOoEsu2nsAPp7IBAHcO5vJSsh936pE5e/ZsfP755/jmm2+g1Wrlc52/vz+8vEy/Z35+PlJTU5GRkQEAOHPmDADTB33SxPF77rkH0dHRWLFihdn+161bhylTpjTYAuXxxx/HzTffjA4dOiA7OxsvvvgiiouLce+999rs9yUiovbN4kRmTk4O7rvvPvzvf/9r8HqDoX4Sr72QE5kNLC2XEplcWk5EZBshISFISUlpdDldcnKyQyeYDxgwAAcOHHDY7bcnwTVLv/UGI4orquHv7dnmfWbUJDscMd3YFmICvaEQgHK9ATmlOoRpG+/7KQ36SYwOsMptazyVeOqG7liw6S9sPHgZANApxAe3DbDeUlii5jiqItMW1q5dCwBISkoyu3z9+vWYMWMGAGDr1q2477775Ouk3s5Lly7FsmXLAACpqan1Vt2dPXsWe/fuxY4dOxq87bS0NPz9739Hbm4uQkNDMWzYMBw4cEAufiEiIrI2ixOZjz32GAoKCuTlcVu2bMGVK1fw4osv4rXXXrNFjC5DWlpeWV1/ark87Efp+svRiIic0fXXX48lS5Zg586dUKnMexjqdDo8++yzuP766x0UHdmTxlMJP40HiiurkVNaaZVEZm1FpusP+gEAlYcCkf5eSC+sQGpeeaOJTFEU5YrMxGjr9fa7tX8Msop0eG/PBUQHeOHNaf2h4qoVsiPpsVxUUYVSXTV81Ra/LXIaoig2u82MGTPkpGZjdu3aVe+ybt26Nbn/jRs3NnvbRERE1mTxGfunn37CN998g8GDB0OhUCAuLg7jx4+Hn58fVqxYgRtvvNEWcboEL1VNIrOhisxq9sgkIrKl559/HoMGDULXrl0xe/Zs9OjRAwBw8uRJrFmzBjqdDv/6178cHCXZS4hWbUpklujRJazt+8t0s4pMAIgP8UZ6YQWSc8swKD6owW0u51egqKIKKqUC3SLaNujnao8mdcajSZ2tuk+iltJqPKHVeKCkshqZhRXoGq51dEhERETUAhZn1crKyhAWZnpHEBQUhJycHABAYmIi/vzzT+tG52Ja1COTiUwiIpuIiYnB/v37kZCQgMWLF2PKlCmYMmUKlixZgoSEBPz666+IjWUPvvbC2pPL02uWn0a6SUUmAHQJNSUmz2WXNrqNVI3ZPUILtYfSLnER2Uttn0zXX15ORETUXlhckdm9e3ecOXMG8fHx6NevH9577z3Ex8fj3XffRWRkpC1idBlNTS2XlpZz2RQRke107NgR//vf/1BQUIBz584BALp06YKgoIarzch9hVp5cnlmkakiM8qNKjK7R5iG95zJKml0m6PphQCAxBjrLSsnchZRAV44nVUi98AlIiIi59eqHpmZmZkATM2hJ06ciM8++wwqlQoff/yxteNzKU0tLddXs0cmEZG9BAYGYsiQIY4Ogxwo1IoVmeX6ahRVVAFwr4rM7jVLxZtKZB63QX9MImch9cl0h4E/RERE7YXFicy77rpL/n///v2RkpKC06dPo0OHDggJCbFqcK5G42mqtmxqablKyWVZREREthbiaxr4ZI1EplSt5av2gJ+m7YODnIXUEzCruBJF5VX1hiIZjCKOXjYlMvuwIpPckDtNLiciImovWr3OWa/X48yZM1CpVBgwYEC7T2ICtUvLq42inLiUyD0yPViRSUREZGvWXFrubhPLJX4aT0T5m36ns9n1qzJPZRajpGaac4+aZehE7oQ9MomIiFyPxYnM8vJyPPDAA/D29kavXr2QmpoKAJg3bx5Wrlxp9QBdiTTsBwAqr6rKrDKYpparOOyHiIjI5mqH/ejbvC93nFgu6R5hqso8mVFc77qDKfkAgAFxgVAq+EEsuR+5IrOIiUwiIiJXYXFWbfHixfjrr7+wa9cuaDS1lQnXXXcdNm3aZNXgXI3aQwGh5nX+1cvL9ZxaTkREZDdSRaZVlpa7aUUmAPSJCQAAHE4tqHfdHymmy4bEB9ozJCK7kRKZWUWVMBhFB0dDRERELWFxj8yvv/4amzZtwrBhwyAItZ/OJyQk4MKFC1YNztUIggAvTyXK9QZU6q9aWl7NRCYREZG9hNQZ9iOKotlrFku5c0XmwDhTkvLQVYlMo1HEb8mmiszB8UF2j4vIHsK1aigE08qp3FIdwv3c78MKIiIid2NxVi0nJwdhYWH1Li8rK2vTmwR3IS0vv7oiU+6RyanlRERENhdcM+ynyiDKE8dbS6rIjPR3vyRHvw4BEATgcn4Fsosr5ctPZBQjt1QHb5US/ToEOC5AIhvyUCoQUZO8ZJ9MIiIi12BxInPw4MH47rvv5O+l5OUHH3yA4cOHWy8yFyUN/Lm6R6a0tFzlwYpMIiIiW1N7KOHvZZrC3daBP9JEY2kZqjvx03iie8308gM1FZgA8OPpKwCA0V1DoPZQNvizRO6Ak8uJiIhci8VLy1esWIHrr78eJ0+eRHV1Nd58802cOHEC+/fvx+7du20Ro0vReJoSlfUqMqtNfXe4tJyIiMg+QnxVKKqoQk6pDl1rknWWEkURmUXS0nL3q8gEgLHdQnE6qwQ/nLyCyX2jAADfnzAlMsf1qL8Kh8idRAd64Y9LBUxkEhERuQiLs2ojRozAr7/+ivLycnTu3Bk7duxAeHg49u/fj4EDB9oiRpfipWp4aTmH/RAREdlX7cCf1k8uL66oRrnedE53xx6ZADChVwQA4OfT2aisMuB4ehFOZRZDpVRgQkKEg6Mjsq3aiszKZrYkZyRyRhMRUbtjcUUmACQmJmLDhg3WjsUtyEvL9Q33yOTSciIiIvuQBv60ZWm51B8z0NtT/rDS3fSPDUB0gBfSCyvwn0Np+O1iHgBgQq9wBPqoHBwdkW1JiUz2yCQiInINLU5kFhcXt2g7Pz+/VgfjDjjsh4iIyDnUnVzeWplF7tsfU6JQCHhodEcs++9JPPv1cQCAIACzkro4ODIi24sOMLWM4NJyIiIi19DiRGZAQECTU8lFUYQgCDAYDI1u0x40nsg0rXtQcWk5ERGRXchLy9tSkVko9cd030QmAEwfGodtx7Pwe83An7njuiIhqn1/OE3tA4f9EBERuZYWJzJ//vln+f+iKGLSpEn48MMPER0dbZPAXFXt1HKj2eX6avbIJCIisqdQaWm5VSoy3XPQj0TlocC/HhiCH09lI8hHhWGdgh0dEpFdSInMgvIqlOur4a1qVectIiIispMWn6nHjh1r9r1SqcSwYcPQqVMnqwflymoTmRz2Q0RE5EghWlN/xzYtLW8nFZkAoPZQYlJipKPDILIrP40ntGoPlOiqkVFYiS5hvo4OiYiIiJrArJqVyVPLGx32wx6ZRERE9hDqa6qizC1p/dTyjHZSkUnUnnF5ORERketgItPKGu2RyaXlREREdlW3ItNoFFu1j8wiU0VmhB8TmUTuKooDf4iIiFxGm7JqTQ3/aa80nqZD2tiwHyYyiYiI7CPYx9Qjs9oooqiiyuKfF0VRTmS689RyovaOFZlERESuo8U9MqdOnWr2fWVlJWbOnAkfHx+zyzdv3mydyFyU3COzztJyURTZI5OIiMjOVB4KBHh7orC8CrmlOgT6qCz6+fwyPfTVRggCEM6KTCK3JSUy02t64hIREZHzanEi09/f3+z7f/zjH1YPxh1IPTIrq2sTmdV1lrOpPJjIJCIispcQXzUKy6uQU6JD13CtRT8rVWOG+Kp5/iZyY9GsyHR5XCdIRNR+tDiRuX79elvG4TakHpllutpEpjToBwBUrMgkIiKym1BfNc5nlyKnFZPLpaRGpD+rMYncmby0vIiJTCIiImfHrJqV+Xt5AoBZLy59dW0i01PJzwuJiIjsJURr6pOZU2J5IlOqyGQik8i9ScN+MgsrWz0YjIiIiOyDiUwrC6rpv1VYrpcvk/pjCgKgVDCRSUREZC8hvtLkcn0zW9ZXm8jkoB8idxbup4FCML1mzy2z/EMPIiIish8mMq0s0NtUkZlfVvuGqe7Eck56JyIisp/QmorM3FYsLc+sWWYqVWsRkXvyVCrkgV4ZLjjwZ8WKFRg8eDC0Wi3CwsIwZcoUnDlzxmybzZs3Y+LEiQgJCYEgCDhy5Eiz+01KSoIgCPW+brzxRrPt1qxZg44dO0Kj0WDgwIH45ZdfrPnrERERmWEi08oCvE2VH8WV1aiuqcSsqllazv6YRERE9hXi24al5TUJjQhWZBK5vSgXHvize/duzJ49GwcOHMDOnTtRXV2NCRMmoKysTN6mrKwMI0eOxMqVK1u8382bNyMzM1P+On78OJRKJe644w55m02bNuGxxx7DkiVLcPjwYYwePRo33HADUlNTrfo7EhERSVo87IdaJqCmRyZg6pMZ7KuWh/2wPyYREZF9hdVUZGa3IpEpDf6IYo9MIrcXFeCFQ5cKXDKRuX37drPv169fj7CwMBw6dAhjxowBANx9990AgJSUlBbvNygoyOz7jRs3wtvb2yyRuXr1ajzwwAN48MEHAQBvvPEGvv/+e6xduxYrVqxoza9DRETUJJYIWpmHUoGAmuXl0psmvZzI5OEmIiKyp4iaJOSVYsuWixqNovwzkQGsyCRyd1ILiXQXTGReraioCED9RGRbrVu3DtOmTYOPjw8AQK/X49ChQ5gwYYLZdhMmTMC+ffsa3IdOp0NxcbHZFxERkSWYWbOBjiGmk/uFnFIA5j0yiYiIyH4iavre5ZfpUVllaPHP5ZbpUGUQIQi1VZ1E5L6iXXhpeV2iKGLhwoUYNWoUevfubbX9/v777zh+/LhceQkAubm5MBgMCA8PN9s2PDwcWVlZDe5nxYoV8Pf3l79iY2OtFiMREbUPzKzZQNcwXwDAmawSAIC+pkem2oOHm4iIyJ78vTzl8292ccuXl0v9McO0an4QSdQORPlLiUzXG/ZT15w5c3D06FF88cUXVt3vunXr0Lt3bwwZMqTedVcPMxVFsdEBp4sXL0ZRUZH8dfnyZavGSURE7o+vzG2gT0wAAODP1AIAqNMjk4ebiIjIngRBQGTN8vIsC5aXSxPLIznoh6hdcOVhP5K5c+di69at+PnnnxETE2O1/ZaXl2Pjxo1m1ZgAEBISAqVSWa/6Mjs7u16VpkStVsPPz8/si4iIyBIOzaytWLECgwcPhlarRVhYGKZMmYIzZ86YbSOKIpYtW4aoqCh4eXkhKSkJJ06ccFDELTMoPhAAcDi1ENUGY22PTA8O+yEiIrK3cL/WJDJN20p984jIvUlLy/MsbEPhDERRxJw5c7B582b89NNP6Nixo1X3/+9//xs6nQ7/+Mc/zC5XqVQYOHAgdu7caXb5zp07MWLECKvGQEREJHFoInP37t2YPXs2Dhw4gJ07d6K6uhoTJkxAWVmZvM0rr7yC1atX45133sHBgwcRERGB8ePHo6SkxIGRN61bmBZajQfK9QacyixBVTUrMomIiBxFGviTVdTySispkRnhx4pMovbAz8sDvmoPAMDl/HIHR2OZ2bNn49NPP8Xnn38OrVaLrKwsZGVloaKi9jkvPz8fR44cwcmTJwEAZ86cwZEjR8yqKe+55x4sXry43v7XrVuHKVOmIDg4uN51CxcuxIcffoiPPvoIp06dwoIFC5CamoqZM2fa4DclIiICPBx549u3bzf7fv369QgLC8OhQ4cwZswYiKKIN954A0uWLMHUqVMBABs2bEB4eDg+//xzPPLII44Iu1kKhYBeUX44cDEf53NKoFIqATCRSURE5AjSwJ+sopb3yJSWl7Iik6h9EAQBHUN8cCy9CBdyytA1XOvokFps7dq1AICkpCSzy9evX48ZM2YAALZu3Yr77rtPvm7atGkAgKVLl2LZsmUAgNTUVCgU5u9Xzp49i71792LHjh0N3vadd96JvLw8LF++HJmZmejduze2bduGuLg4K/xmRERE9Tk0kXm1oqIiAEBQUBAAIDk5GVlZWZgwYYK8jVqtxtixY7Fv374GE5k6nQ46Xe0bleLiYhtH3bAwremNT26JHqE1005VTGQSERHZnbS0/EorlpazRyZR+9Ep1JTIvJhb6uhQLCKKYrPbzJgxQ05qNmbXrl31LuvWrVuz+581axZmzZrVbAxERETW4DSZNVEUsXDhQowaNQq9e/cGAHmpw9XNosPDw+s1lZasWLEC/v7+8ldsbKxtA29EiK8peZlbqqvtkalkj0wiInf10ksvYcSIEfD29kZAQECD26SmpuLmm2+Gj48PQkJCMG/ePOj1evsG2g5FtGLYj7S0NDaIiUyi9qJTiC8A4GJOWTNbEhERkaM4TSJzzpw5OHr0KL744ot61wmCeQJQFMV6l0kWL16MoqIi+evy5cs2ibc5IVoVACC3VA89e2QSEbk9vV6PO+64A48++miD1xsMBtx4440oKyvD3r17sXHjRnz11VdYtGiRnSNtf2p7ZLYskVlZZUB2iWl1R0ygt83iIiLn0inUBwBwMce1KjKJiIjaE6dYWj537lxs3boVe/bsQUxMjHx5REQEAFNlZmRkpHx5dnZ2vSpNiVqthlqttm3ALeCn8QQAlFRWoUqeWs5EJhGRu3r++ecBAB9//HGD1+/YsQMnT57E5cuXERUVBQB47bXXMGPGDLz00kvw8/OzV6jtTkSdpeVGowiFoukVElJ/TG+VEoHenjaPj4icg5zIzGVFJhERkbNyaGZNFEXMmTMHmzdvxk8//YSOHTuaXd+xY0dERERg586d8mV6vR67d+/GiBEj7B2uRbQaU464VFctJzLVrMgkImq39u/fj969e8tJTACYOHEidDodDh061OjP6XQ6FBcXm32RZUK1aggCUG0UkVfW/FL+tAJTIjMm0KvRFSBE5H46hpgSmYXlVchvwXMFERER2Z9DM2uzZ8/Gp59+is8//xxarRZZWVnIyspCRYXpDYQgCHjsscfw8ssvY8uWLTh+/DhmzJgBb29vTJ8+3ZGhN0tKZJZUVqPKYGqQzaXlRETtV1ZWVr3VBIGBgVCpVI32fQacp/ezK/NUKuTe1S0Z+HO5oKY/JpeVE7Ur3ioPRAeY+uJyeTkREZFzcmhmbe3atSgqKkJSUhIiIyPlr02bNsnbPPnkk3jssccwa9YsDBo0COnp6dixYwe0Wq0DI2+ets7ScrlHpgerOoiIXMmyZcsgCEKTX3/88UeL99dQdV9TfZ8B5+n97Ooia/pkSsvGm1K3IpOI2hdpefn5bCYyiYiInJFDe2SKotjsNoIgYNmyZVi2bJntA7IiX3XdikwO+yEickVz5szBtGnTmtwmPj6+RfuKiIjAb7/9ZnZZQUEBqqqqGu37DDhP72dXFx3ghaNpRXKSsim1iUxWZBK1Nz0itPjlXC5OZrKNBxERkTNyimE/7kheWl6nR6aKiUwiIpcSEhKCkJAQq+xr+PDheOmll5CZmSkPsNuxYwfUajUGDhxoldugxsUGmZKSLUtk1iwtD2JFJlF70yvKHwBwIoOJTCIiImfERKaNSEvL9dVGlOqqAbAik4jInaWmpiI/Px+pqakwGAw4cuQIAKBLly7w9fXFhAkTkJCQgLvvvhv//Oc/kZ+fj8cffxwPPfQQJ5bbgbRMXOp/2ZTL+azIJGqvekWZno9PZRbDYBShVLA1FBERkTNhItNGpKXlAJBXapp6yEQmEZH7eu6557Bhwwb5+/79+wMAfv75ZyQlJUGpVOK7777DrFmzMHLkSHh5eWH69Ol49dVXHRVyuyIN7rmc33Qis7LKgNxSHQD2yCRqjzqF+kLjqUC53oCUvDJ0DvV1dEhERERUBxOZNqJUCPBRKVGmNyC/rCaRyWE/RERu6+OPP8bHH3/c5DYdOnTAt99+a5+AyIy0TDy9oKLJAUtSolOr9oC/l6fd4iMi56BUCOgZ6YfDqYU4nl7ERCYREZGTYYmgDUnLy6VEJntkEhEROYa0TLxEV42iiqpGt7uYWwYA6Bjq0+Q0eSJyX31jAgAAf6QUODYQIiIiqocVmTbkq/EAioG8mkSm2oOJTHJdoiiiuroaBoPB0aGQC1MqlfDw8GCCiOxO46lEiK8auaU6XM6vQIC3qsHtkqVEZoiPPcMjIicyrFMwPt6Xgv0X8xwdChFRu2cwGFBV1fiH0GQ9rvJejYlMG5Iml0uVHyomMslF6fV6ZGZmory8+SEZRM3x9vZGZGQkVKqGE0lEthIb5IXcUh3SCsqRGOPf4DbJOUxkErV3wzoFQRCA89mlyCnRIVSrdnRIRETtUmlpKdLS0iCKoqNDaTdc4b0aE5k2VHfgD8BEJrkmo9GI5ORkKJVKREVFQaVSOf0nNOScRFGEXq9HTk4OkpOT0bVrVygUfF4k+4kN9Mbh1MImJ5ezIpOIArxV6Bnhh5OZxdh1Jht3DIp1dEhERO2OwWBAWloavL29ERoayvegNuZK79WYyLQhP435kACVUumgSIhaT6/Xw2g0IjY2Ft7e3o4Oh1ycl5cXPD09cenSJej1emg0GkeHRO1IhyDTc1hKXuOJTKlHZqcQDvggas8m9orAycxifHcsk4lMIiIHqKqqgiiKCA0NhZeXl6PDaRdc5b2ac6ZX3QQrMsmdOOunMeR6eF8iR+kcZqqyPJ9d2uD1xZVVyC3VAQDiQ/jBDVF7dlPfSADA6cwS6KrZH5yIyFFYiWlfrvBejRWZNiT1yJQwkUlEROQ4XUK1AIALjSQypf6YIb5qaK9aVUFE7UvnUF989ehw9I0JgIeSr+GJiIicBc/KNuR7dSKTL4KIiIgcRqrIzCvTI79MX+/6M1dKAADdwrmsnIiAgXFBTGISERE5GZ6Zbejqag5WZBK1P0lJSXjsscccHQYRAfBWeSA6wNRjqaHl5acyiwEAPSP97BoXEREREVFdgiDg66+/dnQYTomZNRvSXt0jk5/oEtnVjBkzMGXKlHqX79q1C4IgoLCw0Gq31dg+N2/ejBdeeMFqt2Mv8fHxeOONNxwdBpHVdQ4zVVs2lMg8nWmqyOwRobVrTERERETkPhp7H0rWwcyaDbFHJhEFBQVBq22/SRG9vv7yXSJH6lqTyDxbs4xcIooiTmexIpOIiIiI2oeqqipHh9AqzKzZUL0emUxkkpsQRRHl+mq7f4miaLPfad++fRgzZgy8vLwQGxuLefPmoaysTL7+008/xaBBg6DVahEREYHp06cjOzsbAJCSkoJrrrkGABAYGAhBEDBjxgwA9ZeWx8fH4+WXX8b9998PrVaLDh064P33368XS79+/aDRaDBo0CB8/fXXEAQBR44caTD2t99+G4mJifL30vb/93//J182ceJELF68GABw4cIF3HLLLQgPD4evry8GDx6MH374Qd42KSkJly5dwoIFCyAIgtmkwOaOU3x8PF588UXMmDED/v7+eOihh1py+InspleUKUl5PL3I7PIrxToUlFdBIQBdwtgjk4iIiMiZOOo9aFvfhyYlJWHevHl48sknERQUhIiICCxbtsxsm3PnzmHMmDHQaDRISEjAzp076+3n2LFjGDduHLy8vBAcHIyHH34YpaW1K4yMRiOWL1+OmJgYqNVq9OvXD9u3b5evT0lJgSAI+Pe//42kpCRoNBp8+umnrf69HIlTy23o6h6Z3iqlgyIhsq6KKgMSnvve7rd7cvlEeKus/7R17NgxTJw4ES+88ALWrVuHvUezGAAAKwRJREFUnJwczJkzB3PmzMH69esBmCoLX3jhBXTv3h3Z2dlYsGABZsyYgW3btiE2NhZfffUVbrvtNpw5cwZ+fn7w8vJq9PZee+01vPDCC/h//+//4csvv8Sjjz6KMWPGoEePHigpKcHNN9+MSZMm4fPPP8elS5ea7bGZlJSE+fPnIzc3FyEhIdi9e7f87+zZs1FdXY19+/ZhwYIFAIDS0lJMmjQJL774IjQaDTZs2ICbb74ZZ86cQYcOHbB582b07dsXDz/8sFkisiXHCQD++c9/4tlnn8UzzzzThr8KkW30iQkAABzPKEK1wSgP8vgztQAA0D3CDxpPnq+JiIiInImj3oMCbX8fumHDBixcuBC//fYb9u/fjxkzZmDkyJEYP348jEYjpk6dipCQEBw4cADFxcX13v+Vl5fj+uuvx7Bhw3Dw4EFkZ2fjwQcfxJw5c/Dxxx8DAN5880289tpreO+999C/f3989NFHmDx5Mk6cOIGuXbvK+3rqqafw2muvYf369VCr1a3+nRyJiUwb8r2qRyYTmUT29+2338LX17y6ymAwmH3/z3/+E9OnT5dPGF27dsVbb72FsWPHYu3atdBoNLj//vvl7Tt16oS33noLQ4YMQWlpKXx9fREUFAQACAsLQ0BAQJMxTZo0CbNmzQJgOpG8/vrr2LVrF3r06IHPPvsMgiDggw8+kD+RS09Pb7KysXfv3ggODsbu3btx2223YdeuXVi0aBFef/11AMDBgwdRWVmJUaNGAQD69u2Lvn37yj//4osvYsuWLdi6dSvmzJmDoKAgKJVKufrUkuMEAOPGjcPjjz/e5DEgcpROIT7Qqj1QoqvG2SulSKip0PwjxZTIHBQX6MjwiIiIiMjN9OnTB0uXLgVgeg/1zjvv4Mcff8T48ePxww8/4NSpU0hJSUFMTAwA4OWXX8YNN9wg//xnn32GiooKfPLJJ/Dx8QEAvPPOO7j55puxatUqhIeH49VXX8VTTz2FadOmAQBWrVqFn3/+GW+88YbZSr3HHnsMU6dOtdevbhNMZNqQn+bqRCYPN7kHL08lTi6f6JDbtdQ111yDtWvXml3222+/4R//+If8/aFDh3D+/Hl89tln8mWiKMJoNCI5ORk9e/bE4cOHsWzZMhw5cgT5+fkwGo0AgNTUVCQkJFgUU58+feT/C4KAiIgIeZn6mTNn0KdPHzkpCABDhgxpcn+CIGDMmDHYtWsXrr32Wpw4cQIzZ87Eq6++ilOnTmHXrl0YMGCAnNAtKyvD888/j2+//RYZGRmorq5GRUUFUlNTm7ydlhwnABg0aJBFx4PInhQKAX1i/fHr+TwcvlwgJzIPXcoHAAxkIpOIiIjI6TjqPah0221R9/0fAERGRsrv/06dOoUOHTrISUwAGD58uNn2p06dQt++feUkJgCMHDkSRqMRZ86cgZeXFzIyMjBy5Eiznxs5ciT++usvs8vc4b0aM2s2dHWPTKVCaGRLItciCILLJOZ9fHzQpUsXs8vS0tLMvjcajXjkkUcwb968ej/foUMHlJWVYcKECZgwYQI+/fRThIaGIjU1FRMnTmzVMBtPT/O2E4IgyIlRURTNelJKlzUnKSkJ77//Pn755Rf07dsXAQEBGDNmDHbv3o1du3YhKSlJ3vaJJ57A999/j1dffRVdunSBl5cXbr/99mZ/l+aOk6TuCZbIGQ2JD8av5/Pwy9lc3DU0DgVlehzPMA36GdwxyMHREREREdHVXOk96NWae/93tYbeD159WUPbtuTn3OG9GqfP2FBbs/ZEZB8DBgzAiRMn0KVLl3pfKpUKp0+fRm5uLlauXInRo0ejR48e8idoEpVKBaD+snVL9ejRA0ePHoVOp5Mv++OPP5r9uaSkJJw4cQJffvmlnLQcO3YsfvjhB+zbtw9jx46Vt/3ll18wY8YM3HrrrUhMTERERARSUlLq/T5X/y7NHSciV3FNj1AAwN7zudBXG7HrbDYMRhE9IrSIDmi8vy0RkTNasWIFBg8eDK1Wi7CwMEyZMgVnzpwx22bz5s2YOHEiQkJCmhwgeLXCwkLMnj0bkZGR0Gg06NmzJ7Zt2yZfv2zZMnkwoPRVty0NERE1LSEhAampqcjIyJAv279/f71tjhw5YjZk9ddff4VCoUC3bt3g5+eHqKgo7N271+zn9u3bJ6+acydMZNpQYxlzInIuTz31FPbv34/Zs2fjyJEjOHfuHLZu3Yq5c+cCMFUbqlQqvP3227h48SK2bt2KF154wWwfcXFxEAQB3377LXJycswmyFli+vTpMBqNePjhh3Hq1Cm5chJo+jlF6pP52WefyYnMpKQkfP3116ioqJD7YwJAly5dsHnzZhw5cgR//fWXfJt1xcfHY8+ePUhPT0dubm6LjhORq+gd5Y9QrRqlumr8cOoKNv+ZDgAYnxDu4MiIiCwnDfc7cOAAdu7cierqakyYMMHsDW9ZWRlGjhyJlStXtni/er0e48ePR0pKCr788kucOXMGH3zwAaKjo82269WrFzIzM+WvY8eOWe13IyJyd9dddx26d++Oe+65B3/99Rd++eUXLFmyxGybu+66CxqNBvfeey+OHz+On3/+GXPnzsXdd9+N8HDT69cnnngCq1atwqZNm3DmzBk8/fTTOHLkCObPn++IX8umXLMul4jIivr06YPdu3djyZIlGD16NERRROfOnXHnnXcCAEJDQ/Hxxx/j//2//4e33noLAwYMwKuvvorJkyfL+4iOjsbzzz+Pp59+Gvfddx/uueceeYKcJfz8/PDf//4Xjz76KPr164fExEQ899xzmD59ulnfzKsJgoCxY8fi66+/xujRo+Xfy9/fH506dYKfn5+87euvv477778fI0aMQEhICJ566ikUFxeb7W/58uV45JFH0LlzZ+h0Ooii2OxxInIVCoWAaYNj8fZP57Fg0xHoqo1QCMDfBsU6OjQiIott377d7Pv169cjLCwMhw4dwpgxYwAAd999NwDUW4HRlI8++gj5+fnYt2+fvCwyLi6u3nYeHh6swiQiaiWFQoEtW7bggQcewJAhQxAfH4+33noL119/vbyNt7c3vv/+e8yfPx+DBw+Gt7c3brvtNqxevVreZt68eSguLsaiRYuQnZ2NhIQEbN261WxiubsQxJY0X3NhxcXF8Pf3R1FRkdkbeXuZ+a9D2H4iC+MTwvHBPa7fVJXan8rKSiQnJ6Njx45NJtLIdj777DPcd999KCoqgpeX6y97beo+5ejnbFfAY2QdOSU6THh9NwrKqwAAfx8SixVT+zTzU0RELeeo5+vz58+ja9euOHbsGHr37m12XUpKCjp27IjDhw+jX79+Te5n0qRJCAoKgre3N7755huEhoZi+vTpeOqpp6BUmlpoLVu2DP/85z/h7+8PtVqNoUOH4uWXX0anTp0a3KdOpzNrn1NcXIzY2NhWH6OU3DIkvboLWrUHjj3vmCEgRGQbfB/qGK7wXo0VmTY2Z1wXeCgFzErq0vzGREQAPvnkE3Tq1AnR0dH466+/8NRTT+Fvf/ubWyQxiZxFqFaNT+4fiv/7+Txig7ywaEJ3R4dERNRmoihi4cKFGDVqVL0kpqUuXryIn376CXfddRe2bduGc+fOYfbs2aiursZzzz0HABg6dCg++eQTdOvWDVeuXMGLL76IESNG4MSJEwgODq63zxUrVuD5559vU1x1qT0VGBQXCC8VZxMQEbUXTGTaWO9of7wzfYCjwyAiF5KVlYXnnnsOWVlZiIyMxB133IGXXnrJ0WERuZ3EGH+8e/dAR4dBRGQ1c+bMwdGjR+sNfGgNo9GIsLAwvP/++1AqlRg4cCAyMjLwz3/+U05k3nDDDfL2iYmJGD58ODp37owNGzZg4cKF9fa5ePFis8uliszWivT3wpePjmj1zxMRkethIpOIyMk8+eSTePLJJx0dBhEREbmQuXPnYuvWrdizZw9iYmLavL/IyEh4enrKy8gBoGfPnsjKyoJer4dKpar3Mz4+PkhMTMS5c+ca3KdarYZarW5zbERE1H5xajkREREREZGLEkURc+bMwebNm/HTTz+hY8eOVtnvyJEjcf78eRiNRvmys2fPIjIyssEkJmDqgXnq1ClERkZaJQYiIqKrMZFJRC3i5nPByI54XyIiIrKe2bNn49NPP8Xnn38OrVaLrKwsZGVloaKiQt4mPz8fR44cwcmTJwEAZ86cwZEjR5CVlSVvc88992Dx4sXy948++ijy8vIwf/58nD17Ft999x1efvllzJ49W97m8ccfx+7du5GcnIzffvsNt99+O4qLi3Hvvffa4TcnovaA7x3syxWONxOZRNQkT09PAEB5ebmDIyF3Id2XpPsWERERtd7atWtRVFSEpKQkREZGyl+bNm2St9m6dSv69++PG2+8EQAwbdo09O/fH++++668TWpqKjIzM+XvY2NjsWPHDhw8eBB9+vTBvHnzMH/+fDz99NPyNmlpafj73/+O7t27Y+rUqVCpVDhw4ADi4uLs8JsTkTuT2lro9XoHR9K+uMJ7NUF0hXRrGzjLeHgiV5aZmYnCwkKEhYXB29sbgiA4OiRyQaIoory8HNnZ2QgICGhw2Rmfs5vHY0RE5Br4fN08HiMiaowoikhNTUVVVRWioqKgULAOz5Zc6b0ah/0QUbMiIiIAANnZ2Q6OhNxBQECAfJ8iIiIiIiK6miAIiIyMRHJyMi5duuTocNoNV3ivxkQmETVLOomEhYWhqqrK0eGQC7t6+ikREREREVFDVCoVunbtyuXlduIq79WYyCSiFlMqlS7xxEZERERERESuT6FQQKPRODoMciJsMkBEREREREREREROj4lMIiIiIiIiIiIicnpMZBIREREREREREZHTc/semaIoAjCNiSciIucmPVdLz91UH89rRESugee05vGcRkTkOpzlvOb2icySkhIAQGxsrIMjISKiliopKYG/v7+jw3BKPK8REbkWntMax3MaEZHrcfR5TRAdnUq1MaPRiIyMDGi1WgiC0Kp9FBcXIzY2FpcvX4afn5+VI2QMjME1Y3CWOBiDe8UgiiJKSkoQFRUFhYLdTxrS1vOau9xX3CUOxsAYnC0GZ4nDHWLgOa15fK/GGNw1DsbAGNwxBmc5r7l9RaZCoUBMTIxV9uXn5+fQJ2TGwBicMQZniYMxuE8MrFppmrXOa+5wX3GnOBgDY3C2GJwlDlePgee0pvG9GmNw9zgYA2Nwtxic4bzGjwaJiIiIiIiIiIjI6TGRSURERERERERERE6PicwWUKvVWLp0KdRqNWNgDIzByeJgDIyBLOMMfydniMFZ4mAMjMHZYnCWOBgDtZQz/J0Yg/PE4CxxMAbGwBhsx+2H/RAREREREREREZHrY0UmEREREREREREROT0mMomIiIiIiIiIiMjpMZFJRERERERERERETo+JTCIiIiIiIiIiInJ6TpPIXLFiBQYPHgytVouwsDBMmTIFZ86cMdtGFEUsW7YMUVFR8PLyQlJSEk6cOCFfn5+fj7lz56J79+7w9vZGhw4dMG/ePBQVFZntJz4+HoIgmH09/fTTzcZw7NgxjBkzBh4eHlAqlfD09DSLITMzE7fddhsCAwMhCAI8PT0tisHf3x8ajQbR0dHo2bOnWRxvv/02Jk6ciICAAAiCALVaDa1WCz8/P7NjkZmZienTp6NLly4QBAGBgYEWHwsPD496MUyePBkPPvggEhMT4ePjg9DQUISFhdn0WHh4eMDHxwfe3t5mf49ly5ahR48e8PLyglKphCAIdo+h7n0iMjISgiBAoVDYNYYZM2bU2166DXseh1OnTiEpKUn+W0j3IXvF0NAxkO4T9np8/vnnn5gzZw7Cw8OhUCggCAI0Go3dHp9TpkzBr7/+ihkzZiAqKgoajQaBgYE2e3z6+vpCEAR8/fXXuJr0PB0aGgqFQgGlUonw8HAsX74cdWfLSceie/fuUCgUeOyxx+rtqyF79uzBzTffjKioqEZj2Lx5MyZOnIiQkBAIgoAjR460aN/WxvNa049d6e8kndfsHcPx48fx1FNPITExEV5eXlCpVPJ91p7n9zlz5sjnNA8PDygUCvj4+Nj1+aPufeKOO+6Qn0PtfZ/gec3+57XGYigtLZXPa9L29n6dc+XKFcyYMUM+n9jq9R7PaS3H8xrPay05DnyvZv9zWmOvMc6cOSOf0zw8POS/ha+vr91eYzR2TrP334PnNRN3Oa85TSJz9+7dmD17Ng4cOICdO3eiuroaEyZMQFlZmbzNK6+8gtWrV+Odd97BwYMHERERgfHjx6OkpAQAkJGRgYyMDLz66qs4duwYPv74Y2zfvh0PPPBAvdtbvnw5MjMz5a9nnnmmyRiKi4sxfvx4FBcXQ6PRYNGiRVCpVCgqKpJj0Ol08PLyQpcuXdCxY0fcddddLYrh3XffhYeHB1566SUcPnwYnp6euHjxIrZs2SLH8fzzzyMxMVG+c91xxx0wGAyoqqrC7Nmz5WORl5eH0NBQ3H///fD398fo0aNbdCykGF599VUcOHCgXgx6vR6fffYZnnjiCezZswdGoxFlZWUQRdFmx2L48OEYOXIkAOCTTz6R/x4dOnTAqlWr4Ovriy5dusDDwwMeHh7w9PS0WwzSfWLMmDEoLCyEIAhISkqy63GoqqrCddddh9DQUCQkJMDb2xtz5syxawzHjh3DyJEjcfDgQXTu3BleXl6YOnWqXWO4cOECzp49Kx8HtVoNAFCr1XZ7fI4dOxbffvstqqqqcNNNN+Haa6+FTqeDTqezy+Ozuroa48aNw7lz5/DZZ59Bq9VCoVDAaDRi3rx5Vvt7fPrpp5g/fz7ee++9ettIXnnlFbz22muorq7G9ddfj/Hjx0Ov1+PVV1/F6tWr5e10Oh1CQ0OxZMkS9O3bt9H9Xa2srAx9+/bFO++80+Q2I0eOxMqVK1u8X1vgea3px25+fj4GDhwon9dUKpVdY7jhhhtw8OBBLFq0CL6+voiLi4MgCAgNDbXr+X3jxo14/vnn4evriwkTJiAhIQHl5eV2O7/XvU98/vnn+Prrr+Xzqr3vEzyv2f+81lgMc+bMwbZt21BVVYWePXtCpVIBAJRKpd1iuPnmm3H27FkYjUZ069ZNfmPIc5rj8LzG8xrfqznnOa2x1xjjxo3DiBEjcPDgQVx33XW477774OHhAYPBYLfXGNHR0WbntZiYGADAgw8+aNe/B89rJm5zXhOdVHZ2tghA3L17tyiKomg0GsWIiAhx5cqV8jaVlZWiv7+/+O677za6n3//+9+iSqUSq6qq5Mvi4uLE119/3aIY1qxZI/r5+ZnFsGLFCjEyMrLBGMaOHSvOnz+/RTEMGTJEnDlzptnP9+jRQ3z66afN4liwYIGo1WpFAGJISIi4cuVKccWKFWJUVJRYUVFRL466MTQXR0tjqHssgoODRQDipUuX7HIsGvt7LFu2TAQgPvDAA3aN4eWXX5b/FgEBAeLrr79u1+MwceJEsU+fPg65X0oxXHPNNeKQIUMcGsPV94eEhARx3Lhxdn98Dh8+XPT39xcrKirEiIgIMSoqSrzmmmvs8vjcv3+/CED8+OOP5WMRHh4uenl5iR988IHVjkVdAMQtW7aYXSY9T0+ZMkX09/cXKysr5efpKVOmiFFRUaLRaKy3r6uPRUs1FENdycnJIgDx8OHDFu/bFnhea/ix6+vrKwIQ582b57AYpOMwe/ZsEYD41FNP2f38Lj1/hIeHy+c0e57fv/zyS9Hf31/09fUVFQqFeNNNN9n978HzmuPPa1IM8fHx4k033WR2HAYMGCBec801dosBgPjMM8/IMbz88stiUFCQOHXqVJ7TnATPazyvtSQGvldzbA6hR48eZu9RHJ1DUKvVYufOne12LHheq+VO5zWnqci8mlQyGxQUBABITk5GVlYWJkyYIG+jVqsxduxY7Nu3r8n9+Pn5wcPDw+zyVatWITg4GP369cNLL70EvV7fZAz79+/H4MGDzWKYOHEiMjMzMXjw4DbF8Pvvv6O4uNgshgkTJsj7lOI4d+4chg4dCgDIzc3FhAkTMHHiRGRkZCAzM7NNx+L333/H9u3bzY5FQzHUPRZ5eXkAgICAALsci8b+HoWFhfD398f06dPtFkNAQADefPNNdOvWDbm5ufDy8gJgn/uEFINarcapU6dQUVGBrKwsHDhwANnZ2XaN4cCBA9DpdPDw8EBWVhb+9a9/4euvv3bo/eHMmTN44IEH7P74PHnyJIYOHYr09HRkZWWhoKAA//jHP+zy+JQei2FhYfKxuHLlCry9vbF3716rHYumni+B2ufpqqoqjB07Fmq1Wn6erqqqQkZGBlJSUhq9fXfH81rDj90+ffoAAIYPH+6wGKTj0Lt3bwiCgBtvvNHu5/exY8ciJSUFV65cga+vL6ZPn27X8/uqVavQtWtXDB06FEajEd27dwfA81p7O69JMQwePFh+fGZlZSEwMBBnz57FP/7xD7vFAADHjx+Xj8P1118PlUoFvV7Pc5qT4HmN57WWxMD3avY/pwFAQUEBAMBoNEKlUiE6OhpZWVnw9PR0WA6hb9++0Ol0uP/++wHY9+/B85p7ndecMpEpiiIWLlyIUaNGoXfv3gCArKwsAEB4eLjZtuHh4fJ1V8vLy8MLL7yARx55xOzy+fPnY+PGjfj5558xZ84cvPHGG5g1a1aTMWRlZcHHx8csBulfb2/vVsewadMmAMC2bdvMYpB+r7px6HQ6hISEmG0jxZCVldXqYyGV/d55551mx6KhGKRjodFoAAC33nor/Pz8bH4sMjMzzWI4duwYdu3aBQD44osvsHPnTvTo0cNuMXz33XeoqqqS3+gpFAp5O3vFMH36dPTu3VsuWz979izGjRuHgIAAu8QwZMgQVFRUyL1nAGDy5MmYOnUqLl68aLfjcPXj09fXF1OnTrXr43PkyJHw9vbGjh075PvEypUrcf311wOw/eNz7dq1UKvVWL9+PS5fviw/PvPy8pCZmWmVY9HU86VE2ndJSYnZc3V4eLi8pKyx23d3PK81/tj19vYGUPtG2BExSMdhzZo1mD59Ojp37mzTGK4+t6alpWHbtm3o2bMnAGDTpk3yOc0e5/e4uDgEBAQgMDBQPhZarVbe1pbHguc15zmv1Y3h008/hUqlwt69ewEAc+bMwZo1a+Tzmq1jGDlyJOLi4rB//354enoCAP7zn/8gKysLxcXFbY6B57S243mN57WmYuB7Nced06Tz+9y5cwEA58+fR+fOnfHaa68BABYtWiSf0+ydQ8jNzQUATJs2Td7WlseC5zVz7nRec8pE5pw5c3D06FF88cUX9a4TBMHse1EU610GAMXFxbjxxhuRkJCApUuXml23YMECjB07Fn369MGDDz6Id999F+vWrZOrmnr16gWVSoVvv/22Xra7bgxinWaoDcWg0+nMYvjll1/g6+sLX19fPPvss0hLS0NCQgIA4IknnjCL4c0338S5c+egUqmwc+dO+VjUvR1BEOQYpP83dyyuvfZaOQZfX1+EhYXJnxbecsstZsdCFEWkpKTUOxaiKOKPP/4AALmvgT2ORd0YgoKCkJSUBAC45ppr8Le//Q05OTl2iaGiogJvvvmm/AlnXfY8DnfeeSdCQkLg5+cHAPjss89w9uxZ/PDDD3aJQalUAjBVAUovjubOnYubbroJn3zyid2Ow9WmTp0KjUZj18dnUlISioqKMHHiRHz00UcAgMWLF2PPnj3y7dvy8blt2zb07t0bZ8+exa5du/Ddd98BMD02lEqlVY7F1c+Xkl69esnbLlq0qMHbqfu7N3T7Dakbg6+vLz777LMW/Zyz4nmt+ceuI2OQblMURaxZs8bu5/egoCDcdtttck+jRx55RD6n2eP8npGRgY8//rje/u399+B5zfHnNSmGt956C0VFRRgyZAgAYOnSpZg1a5Z8XrN1DJ6envjqq69QVlaG7du3AwD279+PG264Qf47tSUGntPajuc1ntf4Xs15z2kqlUp+vg4LC0OfPn3QrVs3AMD48ePlc5o9cwgAkJqaCgByhSzPazyvtVb9Z1wHmzt3LrZu3Yo9e/bIjWABICIiAoApQyx9Sg4A2dnZ9T71KykpwfXXXw9fX19s2bJFzng3ZtiwYQBMn1YEBwdj8ODByM/Px+effy4/4CMiIpCRkWEWQ3Z2NgCgvLwcUVFRZvusrq7GN998g4SEBDmGQYMGmU1kCg8Ph1qthlKpRFhYmFkMkyZNwrZt26BQKLB582bExMQgIiICmZmZ8s/XzZaHh4c3eCz0er3ZsRBFsdEYsrKyzI5FdnY2AgICoFAo5GNRVVWFM2fOyE29pX9teSyCgoJQUFCA77//Xv57REdHy3+PJ598En/729/w4Ycf2iWG3bt3Y/ny5cjOzpaffNPT07Fo0SK88sordj0Ode+XoigiLi4Ox44ds0sM8fHx6NatG8LDw+X7QVZWFnr27Ck/OdvzOJw8eRKAaYkCYNv7ZN3H5+eff46JEydi1KhRUKvVGDVqFADTi4S33npL3pc9Hp/R0dGYNm0aMjMzsWfPHmRnZ2Ps2LFWORYSKQaJ1DRbOuYjR46EVqs1e37Kzs6Gr69vvX01pakYXA3Pa00/di9cuACgtkWCvWMICwvD999/DwB466234OfnJ8dkr/N7dHQ0ioqKcN111wEwvYiUzmm2fv6YOnUq1qxZgw4dOsBoNMrnteeffx7r16/Hli1b7H6f4HnN/ue1ujHExsYiISEBo0aNkquYJk2ahOTkZPm8Zo/jEB0djVtvvRWpqanYvXs3Vq9ejZkzZyIuLq7NMUh4Tmsdntd4XmsuBr5Xc8w5re5rjE2bNuHaa6+VKySlx2dUVBQOHz4s78se71EAU1Vs3XOrPR+fPK+54XnN4q6aNmI0GsXZs2eLUVFR4tmzZxu8PiIiQly1apV8mU6nq9cQtaioSBw2bJg4duxYsaysrEW3/d///lcEIKakpDQaw5o1a0R/f3+zGFauXNlgU9aioiJRq9WK0dHRLYphyJAh4g033CAPzjEajWJgYKDo6+trFofUIBc1TYtXrVolrly5UoyKimqwkfbIkSPFiIiIFh2LIUOGiI8++qjZsbg6Br1eL06ZMkWMjIyUG9Ta8lhIfw8PDw/x4YcfNtvu6r9H586dxWuvvdYuMeTm5orHjh0Tn3nmGdHX11cMCQkRtVqt+NRTT4mLFi1y2HF47rnnRLVaLf7tb3+zWwzDhw8XhwwZYva3mDJliti3b1+7HwdPT0/Rw8PD7o/PoqIiEYA4e/ZsMSAgQKysrBQjIiLEIUOGiF26dLHb47PusfD39xdDQkJEQRDE77//3mrHQhRrny/RTAPpgIAAUafTyc/Tt956q0s1kLYGntda9tiVhthJ9wF7xqDX68W+ffuKgiCIYWFhDj2/133+CAoKEq+99lq7PH9I57S65zWFQiEmJSWJp0+fduj5nec125/XGoqh7nmt7nF4+OGHxS5dujjs/vDEE0+ICoVCvP/++3lOcxCe13he43u11h8HW57TGnuNIZ3T6r7G6NWrl9i3b1+7v0cZOnSoqFAoHPL45HnNxJ3Oa06TyHz00UdFf39/cdeuXWJmZqb8VV5eLm+zcuVK0d/fX9y8ebN47Ngx8e9//7sYGRkpFhcXi6IoisXFxeLQoUPFxMRE8fz582b7qa6uFkVRFPft2yeuXr1aPHz4sHjx4kVx06ZNYlRUlDh58uQmYygsLBTDw8PFvn37ilqtVnzyySdFHx8fsX///mYx7N27V0xMTBS9vLzEm2++Wdy5c6e8v8ZimD9/vghA7Nevn3jy5EmxT58+IgBx48aNcgwnT54Ud+7cKQYEBIgAxEmTJokajUbUaDTiokWLzI7F4cOHxb1794o+Pj5iQECAuHXrVrPfqaE43nrrLVGpVIoBAQHiNddcUy+Gy5cvixMmTBCjo6PFX375RQwNDRV79eol+vj4iI8//rhNjsW0adNElUolajQa8ffffxczMzPFCxcuiI8//ri4c+dOMSQkROzatavo6ekpKhQK0cvLyy4xNHSfEARBHDdunN2Ow/nz58V58+aJO3bsEENCQsTOnTuLCoVC9PX1tVsMmZmZ4hdffCF6eHiIfn5+Yo8ePUS1Wi0KgmD3v0VqaqoIQIyOjnbI43P48OFit27dxMDAQPHmm28Wx48fLwIQPT097fL4zMzMFN9//31x+/bt4pEjR8SAgAD5DbA1j8WGDRvE0NBQcezYsSIA+bpLly6ZPU/7+fmJAQEB4g033CDecMMNYmBgoOjn5ye++uqrZs/7hw8fFg8fPiwOHDhQnD59unj48GHxxIkTTZ4rSkpK5J9rLIa8vDzx8OHD4nfffScfp8OHD4uZmZlN7tvaeF5r+rGblpYm7tmzRz6vaTQaccaMGaK3t7ddYrh8+bJ44403ilFRUWJwcLB8Tps9e7bdnj8uXLggzp07V/z222/FkJAQceLEiWKvXr3k42Gv54+r7xOenp6iWq22632C5zXHnNcai2HUqFFijx49xMDAQLFnz56iRqMRlUqlqFKp7BbDp59+Kv73v/8VQ0JCxPj4eFEQBLFr1648pznonCaKPK/xvMb3as56TmvsPcq6detEpVIp+vn5iTfddJOYlJQkAhDVarVdX2NkZWWJXl5eop+fn8Menzyv1T5Hu8N5zWkSmVLW+Oqv9evXy9sYjUZx6dKlYkREhKhWq8UxY8aIx44dk6//+eefG91PcnKyKIqieOjQIXHo0KGiv7+/qNFoxO7du4tLly4Vy8rKmo3h6NGj4qhRo0SlUikqFApRqVTWi6GxfTQXw6RJk8TY2FhRpVI1uY+rv1QqVb1j0dzPNBZHeHi46O/vL3p6eloUgyAINjkWjf3sgAEDxKioKNHDw0OO1d4xXH2fcEQMvXr1EkNDQ0UPDw/5fmOr+2VTx2HdunVm2zjib/Hee++JarVaHDZsmMMenyNHjhRDQ0NFQRDkx6avr69dH5+BgYGip6enGBERIcbExFj9WDT2d7j33nvl/UrP08HBwaIgCKIgCGJISIi4bNmyep/wNbSvuLg4sSmNPc/XjWH9+vUNbrN06dIm921tzT1/iGL7OK819rMPPPBAg5cLgmC3GBr7UigUdn3+CAgIkJ/LpaSZvZ8/6t4npDjsfZ/gea02Bnud1xr72TfeeEOcMWOGGBoa6rDjMH36dDEmJsbsscFzWu2Xvc9posjzGs9rfK/mrOe0pl5j3HfffWJsbKz8HkWj0dj9Nca9994renl5ib/++qvDHp88r5m4y3lNqAmQiIiIiIiIiIiIyGk55dRyIiIiIiIiIiIiorqYyCQiIiIiIiIiIiKnx0QmEREREREREREROT0mMomIiIiIiIiIiMjpMZFJRERERERERERETo+JTCIiIiIiIiIiInJ6TGQSERERERERERGR02Mik8jJ7Nq1C4IgoLCw0NGhEBERtRnPa0RE5C54TiNyPEEURdHRQRC1Z0lJSejXrx/eeOMNAIBer0d+fj7Cw8MhCIJjgyMiIrIQz2tEROQueE4jcj4ejg6AiMypVCpEREQ4OgwiIiKr4HmNiIjcBc9pRI7HpeVEDjRjxgzs3r0bb775JgRBgCAI+Pjjj82WK3z88ccICAjAt99+i+7du8Pb2xu33347ysrKsGHDBsTHxyMwMBBz586FwWCQ963X6/Hkk08iOjoaPj4+GDp0KHbt2uWYX5SIiNoFnteIiMhd8JxG5JxYkUnkQG+++SbOnj2L3r17Y/ny5QCAEydO1NuuvLwcb731FjZu3IiSkhJMnToVU6dORUBAALZt24aLFy/itttuw6hRo3DnnXcCAO677z6kpKRg48aNiIqKwpYtW3D99dfj2LFj6Nq1q11/TyIiah94XiMiInfBcxqRc2Iik8iB/P39oVKp4O3tLS9ROH36dL3tqqqqsHbtWnTu3BkAcPvtt+Nf//oXrly5Al9fXyQkJOCaa67Bzz//jDvvvBMXLlzAF198gbS0NERFRQEAHn/8cWzfvh3r16/Hyy+/bL9fkoiI2g2e14iIyF3wnEbknJjIJHIB3t7e8okRAMLDwxEfHw9fX1+zy7KzswEAf/75J0RRRLdu3cz2o9PpEBwcbJ+giYiIGsHzGhERuQue04jsi4lMIhfg6elp9r0gCA1eZjQaAQBGoxFKpRKHDh2CUqk0267uCZWIiMgReF4jIiJ3wXMakX0xkUnkYCqVyqzxszX0798fBoMB2dnZGD16tFX3TURE1BSe14iIyF3wnEbkfDi1nMjB4uPj8dtvvyElJQW5ubnyJ3Vt0a1bN9x111245557sHnzZiQnJ+PgwYNYtWoVtm3bZoWoiYiIGsbzGhERuQue04icDxOZRA72+OOPQ6lUIiEhAaGhoUhNTbXKftevX4977rkHixYtQvfu3TF58mT89ttviI2Ntcr+iYiIGsLzGhERuQue04icjyCKoujoIIiIiIiIiIiIiIiawopMIiIiIiIiIiIicnpMZBIREREREREREZHTYyKTiIiIiIiIiIiInB4TmUREREREREREROT0mMgkIiIiIiIiIiIip8dEJhERERERERERETk9JjKJiIiIiIiIiIjI6TGRSURERERERERERE6PiUwiIiIiIiIiIiJyekxkEhERERERERERkdNjIpOIiIiIiIiIiIicHhOZRERERERERERE5PT+P2u40AxLIINKAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 1600x400 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Here is a more realistic example\n", "\n", "ts1, ts2, ts3 = integrator(52.36, 1.286, 39.22, T_outdoor_timeseries = temperature_series, irrad_timeseries = irrad_data/1000) # KP, KD, KI\n", "\n", "start = pd.Timestamp(\"2025-01-01 00:00:00\")\n", "ts_index = pd.date_range(start, periods=minutes_total, freq=\"min\")\n", "\n", "fig, axs = plt.subplots(1,3, figsize = (16,4))\n", "axs[0].plot(pd.Series(ts1, index=ts_index[:len(ts1)]), label = \"Heating water\")\n", "axs[0].set_xlabel(\"time\")\n", "axs[0].set_ylabel(\"Heating water temperature\")\n", "axs[0].legend()\n", "axs[1].plot(pd.Series(ts2[:len(ts1)], index=ts_index[:len(ts1)]), label = \"Outdoor\")\n", "axs[1].set_xlabel(\"time\")\n", "axs[1].set_ylabel(\"Outdoor temperature\")\n", "axs[1].legend()\n", "axs[2].plot(pd.Series(ts3, index=ts_index[:len(ts3)]), label = \"Indoor\")\n", "axs[2].set_xlabel(\"time\")\n", "axs[2].set_ylabel(\"Indoor temperature\")\n", "axs[2].legend()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 35, "id": "10e4f667", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 467 }, "id": "10e4f667", "outputId": "98b68e15-c2df-4869-b13a-85fec9d3bd5e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL\n", " success: True\n", " status: 0\n", " fun: 0.13232306227874463\n", " x: [ 5.236e+01 1.286e+00 3.922e+01]\n", " nit: 19\n", " jac: [ 7.050e-07 1.818e-06 -2.359e-07]\n", " nfev: 80\n", " njev: 20\n", " hess_inv: <3x3 LbfgsInvHessProduct with dtype=float64>\n" ] } ], "source": [ "#Optimization to find best parameters\n", "\n", "\n", "from scipy.optimize import minimize\n", "def errorsum_wrapped(x):\n", " KP, KD, KI = x\n", " ts1, ts2, ts3 = integrator(KP, KD, KI, T_outdoor_timeseries = temperature_series, irrad_timeseries = irrad_data/1000)\n", " return np.sum((np.array(ts3) - 22.0)**2)\n", "\n", "# Perform the minimization\n", "x0 = [20.0, 1.0, 10.0]\n", "result = minimize(\n", " errorsum_wrapped,\n", " x0,\n", " method='L-BFGS-B',\n", " bounds=[(0, 100), (0, 100), (0, 100)], # optional\n", " options={\n", " \"maxiter\": 5000,\n", " \"ftol\": 1e-12\n", " }\n", ")\n", "print(result)\n", "\n" ] }, { "cell_type": "code", "execution_count": 36, "id": "05b10ce0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "37.32425878702992\n", "684853.1603544767\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_16439/2814764136.py:39: RuntimeWarning: overflow encountered in scalar multiply\n", " Tnew = T0pid + KP*proportional_term + KD*diff_term + KI*integrationterm_tot\n", "/tmp/ipykernel_16439/2814764136.py:39: RuntimeWarning: invalid value encountered in scalar multiply\n", " Tnew = T0pid + KP*proportional_term + KD*diff_term + KI*integrationterm_tot\n", "/tmp/ipykernel_16439/188362851.py:10: RuntimeWarning: overflow encountered in square\n", " return np.sum((np.array(ts3) - 22.0)**2)\n", "/home/matfr/anaconda3/lib/python3.12/site-packages/numpy/core/fromnumeric.py:88: RuntimeWarning: overflow encountered in reduce\n", " return ufunc.reduce(obj, axis, dtype, out, **passkwargs)\n", "/tmp/ipykernel_16439/2814764136.py:30: RuntimeWarning: overflow encountered in scalar subtract\n", " netflow = heating_inflow - natural_outflow + irrad_flow\n", "/tmp/ipykernel_16439/2814764136.py:39: RuntimeWarning: overflow encountered in scalar add\n", " Tnew = T0pid + KP*proportional_term + KD*diff_term + KI*integrationterm_tot\n", "/tmp/ipykernel_16439/2814764136.py:28: RuntimeWarning: overflow encountered in scalar subtract\n", " heating_inflow = gamma * (Theating[-1] - Tindoor[-1])\n", "/tmp/ipykernel_16439/2814764136.py:39: RuntimeWarning: invalid value encountered in scalar add\n", " Tnew = T0pid + KP*proportional_term + KD*diff_term + KI*integrationterm_tot\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[[6.84853160e+05 7.11739790e+04 2.52878393e+04 1.28297161e+04\n", " 7.73705668e+03 5.16911023e+03 3.69589657e+03 2.77324531e+03\n", " 2.15744849e+03 1.72634376e+03 nan nan\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan 9.31004081e+00 3.50032506e+00 2.38349806e+00\n", " 1.90754303e+00 1.64243504e+00 1.47242795e+00 1.35346781e+00\n", " 1.26565190e+00 1.20350656e+00 nan nan\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan nan 4.47658676e+00 1.56762027e+00\n", " 1.00931899e+00 7.72346074e-01 6.41342830e-01 5.58387694e-01\n", " 5.01624606e-01 4.62334181e-01 6.91390485e-01 nan\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan 2.94908827e+00\n", " 1.00616914e+00 6.33420936e-01 4.75371153e-01 3.88214160e-01\n", " 3.33379884e-01 2.96747611e-01 2.77424751e-01 nan\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " 2.20147074e+00 7.41171626e-01 4.61116084e-01 3.42500581e-01\n", " 2.77302254e-01 2.36753581e-01 2.11521088e-01 4.86875484e-01\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan 1.75847973e+00 5.87397924e-01 3.62920959e-01\n", " 2.68005912e-01 2.16137991e-01 1.84745391e-01 1.71748025e-01\n", " nan nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan 1.46586892e+00 4.87247994e-01\n", " 2.99806283e-01 2.20777638e-01 1.78098938e-01 1.54322171e-01\n", " 4.77066559e-01 nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan 1.25858194e+00\n", " 4.17071963e-01 2.56090249e-01 1.88572178e-01 1.53103812e-01\n", " 1.40883518e-01 nan nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " 1.10447767e+00 3.65413902e-01 2.24324284e-01 1.65765925e-01\n", " 1.37432556e-01 5.20527780e-01 nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan 9.85903824e-01 3.26098037e-01 2.00610648e-01\n", " 1.49760802e-01 1.34229660e-01 nan nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan 8.92433169e-01 2.95572953e-01\n", " 1.82890421e-01 1.40282063e-01 6.07372843e-01 nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan 8.17625421e-01\n", " 2.71780157e-01 1.70412820e-01 1.43603117e-01 nan\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " 7.57479736e-01 2.53715961e-01 1.64364723e-01 7.58249504e-01\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan 7.09746338e-01 2.41554509e-01 1.74468623e-01\n", " nan nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan 6.73878539e-01 2.38172284e-01\n", " 1.04161411e+00 nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan 6.52082584e-01\n", " 2.60453742e-01 nan nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " 6.54408543e-01 1.71975846e+00 nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan 7.34061857e-01 nan nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan 5.27426787e+00 nan]\n", " [ nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan\n", " nan nan nan nan]]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "#Plot to find the optimal value in the plane (KP, KD=0, KI)\n", "\n", "\n", "\n", "def errorsum_wrapped_from_KP_KI(KP, KI):\n", " KP = float(KP)\n", " KI = float(KI)\n", " KD = 0.0 # fixed\n", " ts1, ts2, ts3 = integrator(KP, KD, KI, T_outdoor_timeseries = temperature_series, irrad_timeseries = irrad_data/1000)\n", " return np.sum((np.array(ts3) - 22.0)**2)\n", "\n", "print(errorsum_wrapped_from_KP_KI(2.0, 1.0))\n", "\n", "\n", "KP_vals = np.linspace(0.0, 100.0, 100) # adjust range as needed\n", "KI_vals = np.linspace(-0.0, 100.0, 100)\n", "\n", "KP_vals = np.linspace(0.0, 80.0, 20) # adjust range as needed\n", "KI_vals = np.linspace(0, 80.0, 20)\n", "\n", "\n", "KP_grid, KI_grid = np.meshgrid(KP_vals, KI_vals)\n", "\n", "# Empty array for results\n", "Z = np.zeros_like(KP_grid)\n", "print(errorsum_wrapped_from_KP_KI(0.0, 0.0))\n", "# Evaluate function on the grid\n", "for i in range(KP_grid.shape[0]):\n", " for j in range(KP_grid.shape[1]):\n", " val = errorsum_wrapped_from_KP_KI(KP_grid[i, j],\n", " KI_grid[i, j])\n", " Z[i, j] = val\n", "print(Z)\n", "plt.imshow(Z, vmax = 50)\n", "plt.colorbar()\n", "plt.show()\n", "\n", "\n" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }