{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Датасет \"Предсказание стоимости автомобиля\" Index(['ID', 'Price', 'Levy', 'Manufacturer', 'Model', 'Prod. year',\n", " 'Category', 'Leather interior', 'Fuel type', 'Engine volume', 'Mileage',\n", " 'Cylinders', 'Gear box type', 'Drive wheels', 'Doors', 'Wheel', 'Color',\n", " 'Airbags'],\n", " dtype='object')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Шаг 1: Выбор входных и выходных переменных\n", "Анализ датасета:\n", "\n", "Датасет содержит следующие колонки: ID, Price, Levy, Manufacturer, Model, Prod. year, Category, Leather interior, Fuel type, Engine volume, Mileage, Cylinders, Gear box type, Drive wheels, Doors, Wheel, Color, Airbags.\n", "\n", "Для простоты выберем числовые переменные, которые могут влиять на налог (Levy).\n", "\n", "Выбор переменных:\n", "\n", "Входные переменные:\n", "\n", "Price (Цена автомобиля) — влияет на налог.\n", "\n", "Mileage (Пробег автомобиля) — также может влиять на налог.\n", "\n", "Выходная переменная:\n", "\n", "Levy (Налог на автомобиль) — целевая переменная, которую будем прогнозировать.\n", "\n", "Шаг 2: Настройка параметров лингвистических переменных\n", "Определение диапазонов значений:\n", "\n", "Для каждой переменной (Price, Mileage, Levy) зададим диапазон значений на основе данных из датасета.\n", "\n", "Определение термов и функций принадлежности:\n", "\n", "Для каждой переменной создадим несколько термов (например, \"Низкий\", \"Средний\", \"Высокий\").\n", "\n", "Используем треугольные функции принадлежности (trimf) для простоты.\n", "\n", "Пример для переменной Price:\n", "\n", "Термы: \"Низкая\", \"Средняя\", \"Высокая\".\n", "\n", "Параметры функций принадлежности:\n", "\n", "Низкая: (0, 5000, 10000)\n", "\n", "Средняя: (8000, 15000, 20000)\n", "\n", "Высокая: (18000, 25000, 30000)\n", "\n", "Пример для переменной Mileage:\n", "\n", "Термы: \"Низкий\", \"Средний\", \"Высокий\".\n", "\n", "Параметры функций принадлежности:\n", "\n", "Низкий: (0, 50000, 100000)\n", "\n", "Средний: (80000, 150000, 200000)\n", "\n", "Высокий: (180000, 250000, 300000)\n", "\n", "Пример для переменной Levy:\n", "\n", "Термы: \"Низкий\", \"Средний\", \"Высокий\".\n", "\n", "Параметры функций принадлежности:\n", "\n", "Низкий: (0, 500, 1000)\n", "\n", "Средний: (800, 1500, 2000)\n", "\n", "Высокий: (1800, 2500, 3000)\n", "\n", "Визуализация функций принадлежности:\n", "\n", "Используем matplotlib для построения графиков функций принадлежности." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qcbtzx5u1MDwqzL+HKXWf07NnT5Wywu2rH4lmkFu1alX/wIprqOzbt0+dPve3s66EwSMXtWPajt71Kqw4Y8AAg9uEfytTbrgzyufdvCaH9QnsMMQxc5aPO7jcqQ1axxIeEdm2DAx5Im5HnoLi38EAiM8F0xoZ+HHHOzTchny/MQDRF6yzBfPmzVONFDiLxFlMpmixhkOftQrra0oIYT3R2HPWio8nhHAA3Hnhlz13VENb4MpauIPIneOgK2jbEhaRM3BjO9vPFbgaiQuk8RTSquM8MszUIPnqsM3XOQu6+VozX3VdCCGsRWoshBDhwvaYPNLNHGhbCCqEEEIIYRskFUoIESaPHz9WedjsLsTUiYh0s4kqWbNm/WQBNBExTC0KrQibtQ22lC7jTJgW9Lm2yayhCbp+iRBCWIukQgkhwoTpFyyaZA0E87ZZPCkcLxVKCCGEiCgJLIQQQgghhBCRJjUWQgghhBBCiEiTwEIIIYQQQgjhHMXb7Bl+//59tfDN51bQFUIIIYQQQlgGqybevHmD1KlTq0VD7T6wYFDBBW+EEEIIIYQQ1nfnzh2kTZvW/gMLzlTof1D8+PGNHo4QQgghhBBO4fXr1+oAv74/btHAYs+ePRgzZgyOHz+OBw8eYPXq1ahdu/Zn21R27doV58+fVwPr27cvfvzxxzA/pp7+xKBCAgshhBBCCCGsKyzlCOEu3n737h0KFCiAadOmhen6N2/eRM2aNVX/+1OnTqFz585o2bIlNm/eHN6HFkIIIYQQQtiocM9Y1KhRQ53CaubMmciUKRPGjRunfuaKrvv27cOECRNQrVq18D68EEIIIYQQwhnbzR48eBCVK1cOdBkDCl4eEk9PT5XPZX4SQgghhBBC2K4oL95++PAhUqRIEegy/sxgwcPDA7FixfrkNiNGjMCgQYOiemhCCCGEEMKCfH194e3tbfQwRDjEjBkTLi4usASb7ArVq1cvVewdtBpdCCGEEELY5loHPJj88uVLo4ciIiBhwoRImTJlpNeLi/LAgoN89OhRoMv4M7s7BTdbQW5ubuokhBBCCCFsnx5UJE+eHLFjx5YFje0oIHz//j0eP36sfk6VKpVtBxYlS5bExo0bA122detWdbkQQgjH5O3rjZguMY0ehhDOx2QCfHyY32LV9Cc9qEiSJInVHldYhn6gn8EFt2Fk0qLCXbz99u1b1TaWJ72dLM/fvn3bP42padOm/tdv06YNbty4gR49euDSpUuYPn06/vrrL3Tp0iXCgxZCCGG7xh8cD9ehrsgzPQ+6bu6Kzdc2w8Pbw+hhCeH4fH2B//0PiB0bKF8eGD4cOH4c8POL0ofVayo4UyHsk77tIlsfE83EOZBw4GJ3XJMiqGbNmmH+/Plq4btbt26p65nfhoHEhQsX1FLg/fr1C9cCeayxSJAgAV69eiUL5Ikwu3MHePo0+N8x0y5nTiB6lPdFE8K5HLp7CGX+KANfk2+gy91juKNchnKolqUavs7xNbImzmrYGIVwWAwk+vT59PJkyYAqVdiWE6hVC0iUyKIP++HDB3WgmcsLuLu7W/S+hXWEtg3Dsx8e7sDCCBJYiPDavx8oVy70gzQDBwIDBlhzVEI4tteer1FwZkHcfHkT3+X5Dt/m+habr2/GpmubcO/NPf/rubm4YUezHSiVrpSh4xXCoRw6BJQpo81acO0wprdwMeLt25luEnC9jBmBM2eAePEs9tASWNi/DxJYCBE8vqI5A7x3L7scAHHiBP49P3MfPtQuv3EDSJ7cqJEK4Vgar2qMxWcXI2PCjDj18ykkcE+gLufXzIUnF1SQwd+feHACZdOXxe4fd0uBpxCWwPW+ChZkfjrQoAGweDGgv7eY2sK1wxhkzJ3LDjrAsGFA794We3gJLOzfBwsFFpIIIhzO1q1aUMF0p3PngLt3A5/u3we++AJ49w4YNcro0QrhGBadWaSCBpdoLlhSd4l/UEEMHvIkz4OuJbti7Q9r1YzF3tt7se3GNkPHLITDaNdOCyo4GzFjRkBQQSzi5hQ+g4nx47XLxowBpC2swtT82rVrf3I50/j52SXtc8NHAgvhcLMVfftq59u2BdKk+fQ6/LwdMkQ7P326FmgIISLu+vPraLuhrTo/oPwAlEwXcte/tPHTos0XbdT5vjv7qtkMIUQkLFqkzVCwkw//TxAQ1H/i+++B3Lm1oEIPMoSwIAkshENZvx44elRriNGzZ8jXY/1a6dKc+tNq3YQQEW8r23BVQ7z1eqvSm3qX/Xx6Rc8yPRE7ZmwcuXcEG65usMo4hXBI169rR9GIRYOlPlO3xOBj8GDt/IQJIXc4EYGwOREXkDNXrlw5NaOhd0nds2cPcuXKpborMW2oWrVquHr1qv/1M2bMiIkTJ/r/3LdvX9XQiA2P6NmzZ2jQoAHSpEmj7iNfvnxYunTpJ51ZOcOSIkUK9dj6SR+DLZDAQjgMFmr366ed79gRSJEi5Oty1mLoUO38rFnAf/9ZZ4xCOJqBuwaqACGhe0IsqrsILtE/3/88ZdyU6FCsgzrfb2c/+JmithWmEA6JtRMNG2qF2WXLhr1mok4doFAh7XZMiYoinIxkyrERp6ieCF21ahVOnjwZ6DIGBFOnTsX58+exb98+RI8eHT///HOwtx83bhx+//13ta4bAw69xqFIkSLYsGEDzp07h9atW6NJkyY4cuSI/+2GDx+OLVu2qGUbHjx4EOh3tkICC+EwVq4ETp8GWFfUvfvnr1+hAlCpkvbZrKdGCSHCbufNnRixb4Q6P7vWbKRPkD7Mt+1eqjviucbDqYensOriqigcpRAOijMU3LHkkXSmQ4V1UTP2Wde/9KZM0bqZRIH374G4cY058bHDY/369YgbN26gU40aNYK9Ltd5+O2339TJXJYsWVCpUiVV/JwtWza1gjUXDgxqzpw5GDx4MDZt2qRmOMwDk19//RUFCxZE5syZ0aFDB1SvXl0FETrOTPzvf/9D+fLlkTJlSiRjG2EbI4GFcAh87+qtY7n2YuLEYbud/tk6fz5w7VrUjU8IR/Ps/TM0Wd0EJpjQslBLfJv723DdPknsJOhSQlsotf/O/vD1+/QLWAgRgp07gZEjtfOzZwPpwx7UK199BRQvDnh4ACO0gwPOjOuz6Ys/6ycGAMGZNm2aSnVq1KjRJ7+7ffu2CkrixImjZhOYQmVu7dq1ahYjderUyJs3b6DfMQgZMmSISoFKnDixup/Nmzf7L0BNDFpYVH7vXkD7blsjgYVwCExDvHhRW/MnPIu6lyypfb4yMOG6FkKIz2PBdct/Wqq1KXIkyYGJ1QPyhsOjS8kuSOSeCBefXsSyc8ssPk4hHNKzZ0CTJlq+T4sWwLfhC+o/yQeeOVNbUdbCWOvIbCsjTuFdAJyBQNasWQOdOIMQ1IsXL9TO//jx44NtlZ06dWoVlOzevRuJEiXCSD34+2j//v1Yvny5uu3AIDsdY8aMwaRJk9RMyM6dO9X9sE7Dy8vL/zr9+/dHhgwZVG0GA488efLA1khgIeweU5n092ePHqE3xAiOXse2ZAlw4YLlxyeEo5l1fBbWXFqDmNFjYkm9JYjjGmSxmDBiXQZTomjg7oGqEFwIEQoGEy1bAjxinT07MGlSxO+LucBc9Ik7rmxFa2Hc7+Z6UUacomp5HAYVZcuWVYXbwYkRI4YKSsqUKaPSmhazS5eZnj174ttvv1UzGRMmTMBRdpsxCzq++eYbNG7cGAUKFFDpUFeuXAl0exZtd+rUSc1obN++HRs3boStkcBC2L0FC7TGGEw1/OWX8N++SBGgbl3t81pmLYQIHRe667JZmxYcWXkkCqcqHKn761C8A5LFToZrz69h4emFFhqlEA6K3UbWrNHWpuBUfdAVYMPDvPc6F87jirEiRO/fv8esWbMwevToEOs09u/fr1KXDhw4oK5XiEXyZhgQULFixdC5c2c0b97cf0aCdRks5uZtL168qFKmHnExQzM3btxAs2bNsHDhQhQvXlzNXtgaCSyEXfP0DPhc7NVLK9qKiEGDtM/YFStYHGXRIQrhMD74fECDlQ3g4eOBqlmqonOJzpG+z7iucVX7WRq8ZzA8fTwtMFIhHBCn1PVcX6bYFI5cUK+wm1TVqoCPT8D0vQixaJuBQHbOFAXj7t27aqefAUKdOnVUKlXQGQtzgwYNgp+fn39KFNvPFi5cWKU/VahQQRVnmy/c5+HhgXr16qFdu3aoWbMmbFU0kx2sThSepcSFc5k2TZulSJ1aK76OFSvi98WufTwAVKsWsG6dJUcphGPovKkzJh2epGYYzrQ9o9rGWoKHtweyTM6CB28fYGqNqWhfrL1F7lcIh8FFl1hsfeaMFgj8+6/W3ckS2FmK9837Y/CSI0cEhvcBN2/eVMXF7u7ulhmXsKrQtmF49sNlxkLYLTaz0NNCudp2ZIIK4kEDfq7+8w9w+LBFhiiEw9h4daMKKmh+7fkWCyooVsxY6Fuurzo/bO8wFWgIIcxwxVcGFcz5Zf6vpYIKKlZMO6LGxaD09opCRJAEFsJuzZgBPHgAMMWQjTEii7ObzZpp5/v3j/z9CeEoHr59iB/X/KjOdyreCV9l+8rij9GiUAu1DgZnLWYcm2Hx+xfCbrFAVy/SZvvSlJYL6v3paVDLlwNnz1r+/oXTkMBC2CW2k9Nbb3O1bVdXy9wv7ytGDGDLFmDPHsvcpxD2jKtiN1vTDE/eP0H+FPlVwXZUcIvhhv7ltIh+5L6ReOv1NkoeRwi7wsXrftSCenTqpPVHjwoFCwL162vnZdZCRIIEFsIuTZ4MPH0KZM0aMMtgCZkyaZ389PQq269AEiJqTTw0EVuub0GsGLGwtN5SuMeIuvzppgWaImvirCqImXJ4SpQ9jhB2galJ/IJ78gQoUCBgQbyowi4mTLFavRo4fjxqH0s4LAkshN15+ZILyQR8DnKGwZL69AHc3IC9e4Ft2yx730LYkxMPTqDnNq1j04RqE5A7We4ofbyYLjExsLzWIWX0gdF4+eFllD6eEDZt4kRt+pwFhFxoKaqLonPl0rqY6NP3QkSABBbC7kyYoAUXuXMD339v+ftPmxZo2zbgs1VmLYQzeuf1TrWW9fbzRu2ctdG6SGurPO4PeX9QAQyDigkHJ1jlMYWwOSdPagXbNH689oVnDUyDcnHRuk4dOGCdxxQORQILYVeY/sTAQq814+dfVODneezYWneoDRui5jGEsPXWsleeXUGaeGkwp9YcRIuqpWyDcInugkEVBqnzEw5NwLP3z6zyuELYjHfvgAYNuHACwHUMfv7Zeo/N/OLmzbXzMmshIkACC2FXmAL15g3AxSzr1Im6x0mRAujQIeCzlamuQjiLvy/8jTkn5yAaouHPOn8iSewkVn38urnqomDKgnjj9QZjDnzMexTCWXTuDFy+DKRJA8yZo63eak16R5QdO7STEOEggYWwq+YYUz7Wc3K1bUu28Q5O9+5AvHjaStyrVkXtYwlhK26/uo1W/7RS57kidsVMFa0+hujRomNIxSHq/JQjU/Do7SOrj0EIQ/z9d0Aw8eefQBLrBvVK+vRAK+0zQPKBRXhJYCHsBhticFE8LhAaVR33zPHzvGvXgLRTX9+of0whjOTr54vGqxqr+oZiaYr5pyQZoWa2miiepjjee79X7WeFcHi3bwfs0PfqBVS0flDvr3dvrVicdRabNxs3DmF3JLAQduHOHW1BPBo61Hozw126AIkSARcuAMuWWecxhTDK8L3Dsff2XsRzjYcldZeoLk1GYU2HPmvBBfPuvr5r2FiEiHI8ctW4sdaZhCthD9S6oxkmdWqgfXun6r3+8OFDdOjQAZkzZ4abmxvSpUuHWrVqYfv27UYPza5IYCHswrBhgJcXUL48UKmS9R43QQItJYr4Oc9aOiEc0YE7BzBotzZDMb3mdGRJnMXoIaFy5sool6EcPH09MWzPMKOHI0TUGT5c63HO/Fu2lo1pXFDv77ffgDhxtDUt1q6FI7t16xaKFCmCHTt2YMyYMTh79iw2bdqEihUror0eYIkwkcBC2LwbN4C5cwNqK6xdx8Yi7mTJgGvXgIULrfvYQljDqw+v0GhVI/iafNEoXyM0zt8YtsB81oLF5Ddf3DR6SEJYHtONuCgTTZ8OZDE+qFf4xcfVvql/f4fuYtKuXTv1eXPkyBHUq1cP2bNnR548edC1a1ccOnRIXYe/nzFjBmrUqIFYsWKpmY2/WRNj5s6dO/juu++QMGFCJE6cGN98840KWszxZ95X0NNLzlZ9xJ/XrFkT6HYVKlRAZxb2f/TgwQPUrVsXSZIkCfF+Ro4ciYwZMyJGjBj+v5/I9VGikAQWwuYxmPDxAapWBcqWtf7jx40b0E6cLW49Pa0/BiGiislkQtsNbXHr5S1kSphJzVbYEs5YVMlcBT5+Phi8Z7DRwxHCsl69Aho10lKh+D/ToWzJr79qU/dnzwJ//RXuzxauh2PEiY8dVs+fP1ezE5yZiMMZmiAYJOj69eunAo/Tp0+jUaNG+OGHH3Dx4kX1O29vb1SrVg3x4sXD3r17sX//fsSNGxfVq1eHF1Mugti2bZsKDlauXImI6NatG65cuaLGHtz9bNmyBX369MGgQYPw33//qeuk5UJdUczCaxYLYVnsuKfPEjDAMAoXzBs3Tqut4+xJu3bGjUUIS1p4eiGWnlsKl2guWFJvCeK7xYet4azF1htb1Vh7lemF7EmyGz0kISKPO79t2vAQNpApEzBtGmwOiwy7ddNmLJgP/O23QIyw7Tqy8ULcEXFhhLe93iKO66dBQnCuXbumApGcOXN+9rr169dHy5Yt1fkhQ4Zg69atmDJlCqZPn47ly5fDz88Pc+YErPszb948FZjs2rULVXl0FDw4qR2dTJkypTpxZiMiTp06hcaNG6No0aLq56D3w99nyZIFzZo187/MJaoW/zIjMxbCpvFzjLOvX3+t1bMZJVYsoE+fgOJxdqcSwt5de34N7Tdq+cODKw5GibQlYIuKpy2OWtlrwc/kh4G7DC5qFcJSeNSMXUG4s8e6Cs4M2CKmQ7FNIo/0LV4MRxOe2Y2SJUt+8rM+Y8FZjGvXrqkZC85U8MSd/Q8fPuD69ev+t3n2TFv0M3780A/iNGjQwP9+eOIsiLlMmTJh48aNasYlOPw90644c2JNMmMhbBZnXpcvD0hBMlqLFsDo0cB//wEzZ2odo4SwV16+XmiwsgHeeb9DhYwV8Fvp32DLGPj8c+UfLDu3DL3L9kbe5HmNHpIQEceiPb0omPUVJWwzqFe4A9yjh1bMzbE2bBim4vLYMWOrmQMj8LHDKlu2bGqG4dKlS5F6zLdv36oC8MXBBF/JWK/y0Y0bN+Dq6orU7LwVigkTJqBy5cr+PzP1KujveVnSpEkRO3Zs+Abpic+ULc6UfPnll4gePbqarXj//j2imsxYCJvFtSN4IKF+faBAAaNHA7i5aWsF0YgR/BAxekRCRFz/nf1x7P4xJHJPpFbXdoke9VPkkcGVuL/N/S1MMGHArgFGD0eIiGO+fYMGwLt3WqtDvYjPljEISpECuHmT+T1hugl31pmOZMRJT0UKC84qsDZi2rRpeMdtEoR5MbReyG3+c65cudT5woUL4+rVq0iePDmyZs0a6JTAbDZq9+7dKFWq1GfTkpgmZX4fLBg3xwLzH3/8URVnHz58WKVgmWMw8dtvv6mZkd9//12lRn0umLEECSyETWJ3u9WrtdW19WYZtqBpUyBrVuDJk4BVwIWwN9tvbMfo/aPV+Tlfz0Ha+FFf0GcJXLAvGqJh1cVVOH7/uNHDESJiWK9w7JhWv8DVta2Q9x5pLGrmonl6weOHD3AkDCp4xL9YsWKqCJoBAlOcJk+eHCj9acWKFfjjjz9U0fSAAQNUF6lffvlF/U6fPfjmm29U2tLNmzfVjEHHjh1x9+5ddf979uzBkiVLVDcnrpvBk57K9Pjx43CNmUFN7969VWcqdrBKkyZNoN+zloOzFj/99BOaNm2qghN2h4pqElgIm/3cJc78fTwYYBM4+6uvWzRmjNbQQwh78vT9UzRZ3UQd+W9duDXq5qoLe5E7WW40yq+lA/Tf9fFDQgh7wsXWmFNLPMKcLh3sRuvWALsK3b0LzJoFR8LWsSdOnFDrVrDbUt68eVGlShW1OB5bzOrYYWnZsmXInz8/Fi5ciKVLlyJ37tzqd0xH2rNnD9KnT68CB85ktGjRQtVYcNaArWjLly+v0pEYbKRKlUqduPNPOXLkCPN4nzx5ogrJx48fr2ZKgsPHYG3GcK6RYk2mCJg6daopQ4YMJjc3N1OxYsVMhw8fDvX6EyZMMGXPnt3k7u5uSps2ralz584mDw+PMD/eq1evWFmj/heOb/9+JkCZTC4uJtPVqyab4+NjMuXOrY1xwACjRyNE2Pn5+ZlqLallwkCYck7NaXrn9c5kb64+u2pyGeSi/oYDtw8YPRwhwu7JE5MpVSrty6N1a5NdmjlTG3+KFCbTu4DPD+7TXbhwIVz7dvaG+6GrV6+O8O1v3ryp9p1DkiBBApORQtuG4dkPD/eMBdtpccEQTgExuitQoIDKTQtpCodTPj179lTX57TS3Llz1X1w+kaI4Oh1DM2ba2lHtoaz1np61vjx7PBg9IiECJsZx2aoAmhXF1csrbc0XAWOtiJr4qxoXrC5Ot9v58cPCyFsHfdL2QHkwQOAbU0nTIBd4hczW+M+emSb7XFtmIuLS6Ai7qBSsIbFAYQ7sOC0S6tWrdC8eXM1/TNz5kw1/cOcs+AcOHAApUuXRsOGDVWBCfv4soUW89KECGrnTmDHDsDVNSDAsEV16wIFCwJv3gBjxxo9GiE+79zjc+i2pZs6P6ryKFUMba/6luuLmNFjYvvN7dh5c6fRwxHi89hKcN067cuNLWZj219Qr3D87KxCo0ZpX4IiTNKlS4ejR4+G+PvLbOfrbIEFVw48fvx4oPZXrDrnzwcPHgz2Nqx85230QIJttth396uvvors2IUDHtDRg4lWrYD06WGzWFSut8CdPFk7eCOErfLw9lCtZT/4fECNrDXQqXgn2LMMCTOgdZHW/rMW4elDL4TVnTsHdO2qnWd9hS20OYwMFj9mz65N10+aBGfBz5natWsbPQzHCiyePn2qqtqDTtfwZ1a2B4czFYMHD0aZMmUQM2ZMtQpghQoVQk2FYiX769evA52E49u8GeA6Lu7uAc0nbNn//qct2se20CNHGj0aIULWY2sPNWORPE5yzPtmXrhaMdoqrmXhHsMd++/sx+brm40ejhDB42qqbC3LLko1arCiFnaPnYX0fGBO2b94YfSIhA2J8q5QbLXFinQud86ajFWrVmHDhg1qKfSQjBgxQvX81U+cPhLOM1vBdtlWaLUcadw34yrcxKYRbJQhhK355/I/mHp0qjq/oPYCpIjrGHm8qeOlRvui2gJjMmshbBYXluOMBQ/Izp+vfXE4gu++A/Lm1Vojjhtn9GiEvQYW7M/L4pNHQfI++DMX8ghOv3790KRJE7Rs2RL58uVDnTp1VKDB4MHPzy/Y2/Tq1QuvXr3yP7FFl3BsTD1lW2+2yubinvaCWYFly3KWDRg2zOjRCBHY/Tf30XytVujcpUQXVM9aHY6Eq4XHiRlHLfS39vJao4cjRGDr1wNTtaBeBRXJk8NhmOcDT5wIfFyLQYhwBRZcgpzLlbOvr47BAX82X0DEHPv1sg7DnL7aYEhHmNzc3FTPX/OTcFyML/XZCs4Sh9I0waZnLebO1RYlFcIW+Jn80GxNMzzzeKYKtUdUGgFHkyxOMv96Ea4kzr9ZCJvA7k/soERdugDVHSuoV1hvwDUUuFp1kFWfhfMKdyoUW83Onj0bCxYsUO1j27Ztq5ZAZ5co4up+nHHQ1apVSy0uwgVFuArh1q1b1SwGL//ccubCOaxYAZw9C3DF++7dYXfKlQOqVAG8vbUFSYWwBeMOjMO2G9tUS1m2lnWL4QZH9GupX5HALQHOPj6LFedXGD0cIbSjZU2bsjBVax84wvGC+k+OrC1eDPj6Gj0iYQPCvbb3999/r1b869+/vyrYLliwIDZt2uRf0H379u1AMxR9+/ZVhYL8/969e6qHL4OKYZI3IgD4+AR0ruvWDUiUCHaJAcXWrcDChUDPnlrDDCGMwtSg3ju0DgiTqk9CzqQ54agSxUqEriW7YsCuAepUL3c9xIge7q82ISyHNQfbtgGxYgFLlzINAw6LMzGlSgH37mn1FsLpReMqebBx7ArFIm7WW0halGPhjnizZkDixFoakT1v3lq1tJTahg21gzdCGOGt11sU/r0wrj6/inq56mFF/RUO0QUqNK89XyPTpEx47vFcFag3LdDU6CEJZ8ViQaaG86jZrFla73RHt2MHPvz0E27OnIlMpUrB3Z6/yJ3Yhw8fVGZRpkyZ4M72nBHcD4/yrlBChISpQwMHaudZsG3vn0V6HRsPULEJiBBG6PhvRxVUpIufDrNrzXb4oILiu8VXhdw0aPcgePt6Gz0k4YzevtWOLDGoqFcPaNkSTuHLL4HixbXzT57A3vz444/qc1I/JUmSBNWrV8eZM2eMHppdksBCGGbePG2Wgll0bDFr7woVAr79Vmudq6d3CWFNf53/C/NOzUM0RMOiuotUmpCzYOvZFHFS4MaLG5h/ar7RwxHOiN1Hrl4F0qbVZiucIKj31+njoptc04JrdtgZBhIPHjxQJzYkihEjBv7HxapEuElgIQzBzx290JmL4bHNrCPgmkH8Llm1CjhxwujRCGdy6+UttP5HW426T9k+KJehHJxJHNc46FVGaxwyeM9gtcq4EFazfLl2tIxfAIsWafm9zoTdoVhTonfEsjPsRsplE3hi7XDPnj3VUgesKb5165aayTh16lSwt02YMCHms53wR3fv3kWDBg2QOHFixIkTB1988QUOHz7s/3s2NOJi0ey0miNHDvz555+B7o+PtWbNGnWe1QpsipQ/f368+LgQ4fXr1/HNN9+o2ua4ceOiaNGi2MaaHjMMkOrWratmX8xnY16+fImoJoGFMMTs2dqCcjyw01rbF3IIuXMDjRpp5/v3N3o0wln4+Pmg8arGeOX5CiXTlsSACs45ZfbzFz8jTbw0uPv6LmYfn230cISzuHUL+Pln7XyfPkD58nBKbO1Iz55pK45z+p6taI04RaJ8+O3bt1i0aBGyZs2qdszDe9vy5curZkXr1q3D6dOn0aNHD/9121avXo1OnTqhW7duOHfuHH7++WfVVXXnzp3B3l/Hjh1x4MABbNmyBYk+drfhY3z11VdqZuXkyZNqtoVNkdg8Scf7v3LlimquxCBj5cqVsBqTHXj16hVfIep/Yf/evTOZUqTgu95kmjnT5HCuXjWZXFy0v+/AAaNHI5zBgJ0DTBgIU/wR8U03nt8wObOZR2eq5yLFmBSmd17vjB6OcHTe3iZT6dLaB36JEiaTl5fJGXl4eJguXLhg8rh0yWQ6etRkunbNZHr7VntejDjxscOoWbNmJhcXF1OcOHHUifubqVKlMh0/flz9/ubNm+qykydPBnv7BAkSmObNm6fO//7776Z48eKZnj17Fux1S5UqZWrVqlWgy+rXr2/66quv/H/mY61evdrUp08fU5o0adTjf06ePHlMU6ZM8f85V65cpmHDhvn/vHPnTnW/L168+Pw29PCI1H64zFgIq5s2jau1A5kyBawf5EiyZmUxmHZeX/hPiKiy7/Y+DNmj5RXOrDkTmRJlgjNrXqg5MiXMhEfvHmH60elGD0c4Oq7jsH8/EC8esGQJEDMmnJq+ujjTdt6/h72oWLGiSnXi6ciRI6hWrRpq1KiB//77z/86pUqVQrx48ZAuXTq19AJTnoI6deoUChUqpNKggsP130qXLh3oMv7My81NnTpVLcvAVKmMGTMG+h1nLH799VfkypVLpWExHYq3N5+xYGenjRs34rkBK6JLYCGs6vVrYNQo7TwLnF1d4ZAYUPD7hYvUhzDDKUSkvfB4gUarGqkVp9litUG+BnB2ri6u6F9ey0McuW8k3ni+MXpIwlHt2xdQLDhzpna0zNmxzkLfqWY+PztlGXGKHTtcw2YtBFOfeGLNwpw5c9Tiz1wQWrd8+XKVerR06VJcvXoVbdq0CebPjxX55xBQwQ0DA6ZL/f7774F+x6CCKVXDhw/H3r17VTCTL18+eHl5+V9nwoQJ8PT0RNKkSVXgwSDJWiSwEFY1aZKWfpkjR0AtgiPKkCGgdoRBhu2vFiPsDWfM22xog9uvbiNLoiyYWmOq0UOyGY3zN0b2JNnxzOMZJh2eZPRwhCPiEXl+iemrbLPNrNCkTq39ry+Yx+4s1j5FsiMXC5252LMHa0U+4kwFA48yZcqgRYsWwRZz58+fX10e0kwBZxn2c4bLDH/OzQJNMxMnTlTBwPTp09G9e/dAsxG8Plvk1qlTRwUULDhngbm57Nmzq+twtoOF4wyUrEUCC2HVz2EuSKp3T4rh4IvjstsV15jhZ8iWLUaPRjgatpVle1muMr2k3hLEc4tn9JBsBp+TQRUGqfNjD4xVMztCWAyPFPFoNXf2smRh3orRI7It/OLTi565Ircd4NH9hw8fqhPTijp06KBSjlgUreOMABeRY3rU33//jbx5835yPw0aNFA7+rVr11YBwI0bN1Th9MGDB9XvGSSwgxQ7Q3HWY/z48Vi1apWahTCnp1LVq1dPFWq3NFsTJVu2bOo2DGBYHN6wYUP/4nDdoUOH0Lt3bzXOPHnyIE2aNLAWCSyE1TCo4AGMfPmA+vXhFAdt2rXTzvftK7MWwnIuP72MDv92UOeHVByCYmmKGT0km/Ndnu+QN3le1Slr3MGPRzSEsAS2Fv3rL+3oGOsqWF8hPv0C5KwB85/f2H46IrsnpUqVSp2KFy+Oo0ePYsWKFahQoYL/dXg5U53YjpbpRUFTlMjV1VV1cEqePLkKCDijMHLkSLi4uKjfM+CYNGkSxo4dq3b4eR/z5s0L9DhBsd6CAcQsro0CqGCEHaJY88HAh/Ughdnu9yO2yK1fv766nvnl1hLtYwW6TQvPUuLCNnExTqafsgsc13ioUwdO93ezLfU33xg9ImHvvHy9UHJuSZx4cAJfZvoSW5tsRfRocowoOKsvrkbdv+oirmtc3Oh4A8niJDN6SMLeXbmirdnAD/URI4CePY0ekU3gkfybN2+qomF3zlgQC5/5JcjAK3t251ow0FG2YQT2w+XbSFgFC7b5OVykCCN2OI1kyQIWJGWtRZDZSiHCrc/2PiqoSBwrMRbWXihBRShq56yNwqkK463XW4zeP9ro4Qh7x+LYBg20L7MvvwR69DB6RLYtVSotmOCMhR3MWgjLkG8kEeXu39dazBIbaDjbQYtu3QAG+GfPAitWGD0aYc+2Xt+KsQfHqvN/fP0H0sS3Xt6sPWIB5tCKQ9X5qUen4sEb+1sRWNgQLn534oTW9WjhQiC67EKFim0feXRNr7Ww/QQZYQHyrhBRjrPFHz6wBzRQvTqcDr+DGFzoLXZ9fIwekbBHT949QdM1TdX5tl+0xTc5Ja8uLKpnra5WI//g8wEj9o0wejjCXm3dCozVgnr88QdgxWJYu5+1YADGWR69S5RwaBJYiCjFFEu9vonrCDnbbIWuc2ctwLh8Wav1EyI8WArXfG1zPHz7ELmT5cbYqh93cETYZi2+1GYtfj/+u2rPK0S4sE6ALWWpbVsplgsPLuikL5rH9AWZtXB4EliIKMVgwtubq1pqJ2fFVCg9HXfgQO05ESKsph6Zig1XN8DNxQ1L6y1F7JjhW/zJ2bHIvWLGiqrwfegeLcgQIky4I9y8OfDwIcC1BvRZCxF2KVJosxZciZuL5gmHJoGFiDLXrgHz5mnn9cVJndkvv2gHbm7eDHhehPicM4/OoPvW7ur8mCpjkD9FfqOHZJfYlpf+OPkHrj+/bvRwhL1ggeCGDYCbG7B0abhXdHY2QddT8J+1YHBBMmthX9suAhx8iTJhpMGDAV9fgCvJly5t9GiMx8VAuWge06IYaHFmPUhHNyEC8fD2QIOVDeDp64ma2Wril2K/GD0ku1U6fWlVb7Hp2iYM3jMYC2ovMHpIwtadOQPoC5eNHs1llY0ekc3i+g1cqfr+/ftIliyZ+plpiP4SJAAePQK4kjVnfxIlMnK4IkiqLRf/4/oX3IbcdpEh61iIKHHhAsBFKfnqOnZMazMrtCL2rFm1BhmTJwMdtDXOhAhWuw3tMOPYDKSMmxJn2pyRdRgi6dj9Yyg6u6hq0Xuu7TnkSpbL6CEJW8Ud4C++0L7MvvoKWL/eeYsEw4g7pw8ePMB7pjwFh8XbTIXiwoL6AnrCZsSOHVstEBhcYBGe/XAJLESU+O47rbUq16xYvdro0diWmTO1+j/ODN+4ITPrInhrL61F7eXaoi9bGm9BlSxVjB6SQ6izvA7WXFqjVuZe/u1yo4cjbFW7dsCMGdoHNWcu9AJkESruUvr4+MCX6QpBsTNU5crAixfA8OFA3bpGDFEEgyuDx4gRI/AskxkJLIShTp0CChXSDkacPg3ky2f0iGxvjaUcOYBbt7TZ9e5a+rwQ/u69vocCMwvgmccz/FryV4ypOsboITmMs4/OqufWBBNO/XwKBVIWMHpIwtasXRuwkuvmzUDVqkaPyHGMG6ell2XIoK1iHsm0G2EdsvK2MBTXaqDvv5egIjj8HNWfI65ILguSCnO+fr5qvQoGFVw1elilYUYPyaHkS5FPzVbQgF0f34hC6Jin+tNP2nkuQCRBhWVxup5rW7AXPdcDEQ5HAgthUUeOAOvWaZ3l2FZVBK9xYyB7duDZM2DiRKNHI2zJ2ANjsePmDtVSlq1lXV3kiJ6lDawwUNVZrL28FkfuHTF6OMJWMH2nSRPg+XOgcGEtXUdYFnN/2cWE2MWEtSzCoUhgISyqX7+AHWem+4jgsXZND7w4M8yUUyG4k9t3Z191fkqNKcieJLvRQ3JIOZPmRJP8TdT5/jv7Gz0cYSu4RsXOndrOL1cylTSdqNGqFZAundZ6Vl9BVzgMCSyExezdC2zZou0066k+ImRMFWPnLDbKGD/e6NEIo73xfIOGKxvCx89Hpeo0L9jc6CE5tP7l+yNG9BjYfH0z9t3eZ/RwhC1Mt/fVgnpMmSJHxqIS1wTp/zGgHzFCK+oWDkMCC2ERbAGgfya3aAFkzmz0iGwf08W41gcxHerJE6NHJIz0y7+/4PqL60ifID1+/9/vIXbnEJaROVFm/FRQy6Xvu6Ov6mYjnBQL3Ro2BHx8gPr1tZW2RdRq1gzIkgV4/BiYOtXo0QgLksBCWMT27cCePdrMcZ8+Ro/GfrDxCFN5377VOkQJ57Tk7BIsPL1Q5f0vrrsYCd0TGj0kp9C3XF9Vw7L7v92qrkU4qV9+Aa5fB9Kn11JzJKiPelyN27yLCafuhUOQwEJEGg/06bUVbdpoqZMibPj9xfo1mjYNePDA6BEJa7v54ibabmirzvcr1w9l0pcxekhOI12CdGhTpI06329nP5m1cEaspVi4UJtCXrxYVoS2Js4S5cypFRlKFxOHIYGFiLSNG4FDh4BYsYBevYwejf2pUQMoWVJrjsF0U+E8WE/RcFVDvPZ8jdLpSqsj6MK6epXthVgxYuHg3YP499q/Rg9HWNPNm1r7U+LRsTIS1FuVi0tAPjALDdmNS9g9CSxEpPj5BcxWdOgApExp9Ijsc9Zi6FDtPGfhb982ekTCWgbtGoRDdw8hgVsClQLFYmJhXSnjpsQvxX5R56XWwomwnoJHzF+/BkqXDigSFNZVrx5QoIC2HdiVS9g9CSxEpKxeDZw8CcSNKytIR8aXXwIVKmircutBhnBsu2/txrC92uJ3M/83ExkSZjB6SE6rR+keiOsaFycfnsTqS6uNHo6wBh4p51R7ggRaChTbGQpju5hMmqQVcwu7JoGFiNRaQnrtVZcuQNKkRo/Ivum1FvPmaXWEwnE993iOxqsbwwQTfiz4I37I+4PRQ3JqSWMnRefinf3XteDq58KBsdPIsI8r2s+cCWSQoN5QtWoBRYsC798DI0caPRoRSRJYiAhbvhw4fx5ImBDo2tXo0dg/pvdWr67N0OsHcITjYapNq39a4e7ru8iWOJtaCE8Yr1upbqob1/kn5/HX+b+MHo6IKiwUbtRIy+P98UfgBwnqbSofePp04N49o0ckrB1YTJs2DRkzZoS7uzuKFy+OI1xYJhQvX75E+/btkSpVKri5uSF79uzYyIpfYbe486uvHM0UKAYXwnKzFosWAZcuGT0aERXmnpyLVRdXIWb0mFhSb4lKwRHGY1Dxa8lf1fkBuwaownrhYFg/w1Wf794FsmXTFsITtqFKFaBsWcDTExg+3OjRCGsGFsuXL0fXrl0xYMAAnDhxAgUKFEC1atXwOIS8OC8vL1SpUgW3bt3C33//jcuXL2P27NlIkyZNZMYtDPbnn8DVq1r6U8eORo/GcXzxBfDNN9rBND1wE47j0tNL6LSpkzo/7Mth+CL1F0YPSZjpWLwjksRKgqvPr2LRmUVGD0dY2ty5wMqV2hoKbDPL4kBhe73XZ88Gbt0yekQigqKZwtkCgzMURYsWxdSPKyX6+fkhXbp06NChA3r27PnJ9WfOnIkxY8bg0qVLiMk3cwS8fv0aCRIkwKtXrxA/fvwI3YewHBYY58ihve/ZxKFbN6NH5FjOnNGaZNCpUwHnhX3z9PFEibklcOrhKVTOXBmbG29WC+IJ2zL2wFh039odGRNmxOVfLqsF9IQD4BRwkSJaHj9XI5VuI7Y7c7Ftm7b6+R9/GD0aEYH98HB9q3H24fjx46hcuXLAHUSPrn4+ePBgsLdZt24dSpYsqVKhUqRIgbx582L48OHwZeVvCDw9PdUfYX4StnXQh0EFW8vqLcCF5eTPD3z/vXZeL44X9q/39t4qqGCh8MLa2irbwva0K9pOtaC99fIW/jgpOzYOgek1DRpoQQX3X+RomO3SZy24aCHTIoTdCdc329OnT1VAwADBHH9++PBhsLe5ceOGSoHi7VhX0a9fP4wbNw5DQ+mpOWLECBUZ6SfOiAjbwEXc9E3Htt+xYxs9IsfENCh24Vu7Fjh2zOjRiMjadG0Txh8ar87/8fUfSBUvldFDEiGIHTM2+pTto84P3TMUH3w+GD0kEVlcuZXTv8zd1VfZFrapRAngf//T2k4OGmT0aEQERPm7i6lSyZMnx6xZs1CkSBF8//336NOnj0qRCkmvXr3UdIt+unPnTlQPU4QRF3C7fx9grNeypdGjcVw5cwKNG2vn9QUIhX169PYRmq1pps7/UvQX1MpRy+ghic9oVbgV0sVPh3tv7uH3Y78bPRwRGZs2ARMmaOeZWpNKgnqbp7dFZB0MW08Kxw0skiZNChcXFzx69CjQ5fw5ZQhLLrMTFLtA8Xa6XLlyqRkOplYFh52jmMNlfhLGe/uWs0na+f79uZ2MHpFj43PMNZv4vbhvn9GjERHhZ/JD87XN8fjdY+RNnhejq4w2ekgiDNxiuKFfOS2iH75vON55vTN6SCIiuK/STAvq0b69tl6CsH2FCmkrcrMEWPKBHTuwcHV1VbMO27dvDzQjwZ9ZRxGc0qVL49q1a+p6uitXrqiAg/cn7Afr9dn8K0uWgM9qEXX4PP/0U0DaWfjaLAhbMOXwFPx77V+4x3DH0npLEStmLKOHJMKICxdmTpRZBYVTj2jNSoQd0dep4JdW3rzAmDFGj0iEB9Og2CmKXbxOnjR6NCIqU6HYapbtYhcsWICLFy+ibdu2ePfuHZqzgh9A06ZNVSqTjr9//vw5OnXqpAKKDRs2qOJtFnML+/HqldZIg3gAIYINvkQ4MaBg/L17N7Bjh9GjEeFx+uFp9NjWQ50fV3WcmrEQ9iOmS0wMLK/1fB59YDRee0oTEbvCNSo43evuDixdCsSSoN6u5MmjFdzr0/fCcQML1kiMHTsW/fv3R8GCBXHq1Cls2rTJv6D79u3bePDggf/1WXi9efNmHD16FPnz50fHjh1VkBFca1phuyZO1BYsZe5/w4ZGj8Z5sJbl558Dai1k1sI+vPd+jx9W/gAvXy98neNrtP1C2qfZo4b5GiJn0px47vEcEw9NNHo4IqxYqN1DC+oxbpw2YyHsD49iMo1+/Xrg0CGjRyOiah0LI8g6FsZ69gzInJnbAfjrL6B+faNH5FwYpzMtih25NmwAvvrK6BGJz2mzvg1+P/47UsVNhTNtz6gWs8I+/XX+L3z/9/eI7xYfNzvdROJYiY0ekggNW8pyvQquW/H118CaNVpKjbBPLVpoRfdsE7x1q9GjcVqvo2odC+GcuAgegwou1MZ6KmFdbGLyyy/aeam1sH2rLq5SQUU0RMOfdf6UoMLOfZv7W+RPkV+lQnHxPGHjunTRggp+cHLRJQkq7Bun6pl7zUXzmBMsbJ4EFuKzTTUmTw7oACftv43BWf24cbUattWrjR6NCMnd13fRcp3Wh7lH6R6olLmS0UMSkcSFDIdU1BbtmnR4kirmFjZq1Spg1iwtmPjzT23dCmHfMmYM6G0v+cB2QXYTRahGjtRmlosWlU59RuL3Y+fOAXVsoSxcLwzi6+eLJqub4MWHF/gi9RcYXPFjL3Zh92plr4WiqYuq2pmR+0YaPRwRnLt3A3ZAeSSmkgT1DqNPH62//d69kg5lBySwECG6dw+YMUM7z9W2ZUbZWN26AQkTausFsdZF2JZR+0dh161diBMzDpbUXQJXF2mn7SiiRYuGoV8OVednHJuBe6/vGT0kYY5HWriiKDuMfPFFwAJrwjGkSQO0a6edl3xgmyeBhQjRsGGApydQpgxQpYrRoxEMKhhc6M0yfHyMHpHQHb57GP13ai0Rp301DdmSZDN6SMLCqmSugjLpy+CDzwcM2zvM6OEIc6NGafn3ceJorWVljSzHw06isWMDR48C//xj9GhEKCSwEMG6eROYM0c7P2SIzFbYik6dtLSoq1e1FGJhPBb1NljZAL4mX/yQ9wc0LdDU6CGJqJq1qKjNWsw5MQe3Xt4yekiC2IZUX+dg2jQga1ajRySiQvLkQMeO2nlub7NFl4VtkcBCBIvBhLe31uGtQgWjRyN08eIBv/0WsDCpl5fRIxLtN7bHzZc3kSFBBsyoOUPtgArHVD5jeVTOXBneft4Yslsr6BYGYrtCLqzEVCguptZUgnqH1r07wFanp09rK3ILmySBhfjElSvAwoUBAYawLUw1TZkS+O8/rb23MM6iM4vUiZ2DltRbgoTuCY0ekohieoeoBacX4Oqzq0YPx7m1b69Nr7NzEAsCJah3bIkTA127BuQDSxcTmySBhfgEj4Tz/VqzJlCihNGjEUExzbR374DAjwvnCeu7/vw62m3QCgr7l+uPUulKGT0kYQUl0pZAzWw1VerboN2DjB6O81q0SDtxZebFi4EECYwekbAGtkdMlAi4eFGrpxE2RwILEci5cwHvVWmsYbtatwbSpQPu3wd+/93o0Tgfb19vNFzVEG+83qiC3j7l+hg9JGFFeivhJWeX4Pzj80YPx/lcvx7QJYhHrktJUO80GECynTANHKjlbAubIoGFCITvU3Zy4wrbhQsbPRoRErb05lpBNGIE8O6d0SNyLgN3DcSRe0eQwC0BFtddjBjRYxg9JGFFhVMVRr1c9WCCCQN2DTB6OM6FO5KNGgFv3gBlywZM3wrn0aGDVszNAHPBAqNHI4KQwEL4O3FCq4dimirToYRt+/FHIHNm4PFjYOpUo0fjPLhWxYh9I9T52bVmI32C9EYPSRhgUIVBiIZoWHlxJU4+OGn0cJzr6Nfhw1r/bT0VSjgXthXu1SsgtYJ98YXNkMBC+NM79rHJRp48Ro9GfE7MmNp3LI0erTVIEVHr2ftnaLyqsTpS3aJQC9TPU9/oIQmD5EmeBw3yNVDn++/6+OEpotauXdoULc2eDaSXoN5ptWmjLZx3505Ab3xhEySwEP6twDds0A7+MGVV2AcGgTlzAs+fAxMnGj0ax2YymdDqn1a49+YesifJjknVJxk9JGGwAeUHwCWaC9ZfWY9Ddw8ZPRzHxg85rq7NXN0WLYBvvzV6RMJI7u5An4+1bUOHAu/fGz0i8ZEEFkLR8/WbNQOyyaLBdoOBoJ62Nm6c9t0rosas47Ow+tJqxIweE0vrLUUc1zhGD0kYjAGmviBiv50fP0SF5TGYaNkSuHcPyJ4dmCRBvYAWYGbIADx8qLUbFjZBAguB3buBbdu01Bo9wBD2gwfu8ufXUqHGjjV6NI7pwpML6LK5izo/otIIVbwrBPUv318Fm9tubMPuW7uNHo5jmjULWL1a+5Ji20Lm2Avh6hqQYjFypFbQLwwngYWT44EgPZho1UpbZ0jYl+jRAxYynDxZK+YWlvPB5wMarmwIDx8PVM1SFV1KagGGEJQxYUa0LNzSf9aCKXPCgi5cALp8fM+xvkLaFQpzTZpoaRZPnwJTphg9GiGBhdi6Fdi7V2tfKl377FetWkDRolrbWR64EZbTc1tPnH50GsliJ8OC2gvUKttCmOtTtg/cXNyw9/ZebLm+xejhOI4PH4AGDbRVQKtWDQgwhNDFiBHQxWTMGODlS6NH5PTkG9KJ8cBa377a+bZttQYLwj6xRbA+a8FUU6Yii8jbeHUjJh3W8rnn156PlHFTGj0kYYPSxE+Dtl+0Vedl1sKCevYEzpwBkiXT1ivg9KwQQX3/vdbKkkHF+PFGj8bpybvUif3zD3D0KBA7dkBLaGG/eECvTBntIN/w4UaPxv49fPsQP675UZ3vWKwjvsr2ldFDEjasZ5meiB0zNo7eP4p/rvxj9HDs38aNAUXa8+cDKSWoF6F0MeF6FjRhgpYWJQwjgYWT8vMLWLeiY0dtEUvhOLMWbPH+339Gj8h++Zn80GxNMzx5/wT5U+THqCqjjB6SsHEp4qZQASj139lfvYZEBLHLD1cA1b+gvpKgXnxGnTpAoULA27daSpQwjAQWToorbJ8+DcSPD3TvbvRohKVUqABUqgR4ewcEGSL8Jh6aqHLl3WO4q9ay/F+Iz/m11K+I5xpP1eSsvLDS6OHY71Ev9j1/8kRrdzdKgnoRziNrLOJmcCoMIYGFE/L1DZit6NoVSJzY6BEJS9I/W5k9cPWq0aOxPycfnFQF2zSh2gTkTpbb6CEJO5EkdhJ0LdlVnR+wawB8/XyNHpL94UqfW7YAsWJprWW5EJoQYcGZrRIltGJ/fYV2YXUSWDihJUuAS5eARImAzp2NHo2wtJIltc9XBpD64nkibN55vUODlQ3g7eeN2jlr4+ciPxs9JGFnupTogkTuiXDx6UUsPbfU6OHYl5MntYJtPVc+twT1IoKzFjNnAnfuGD0ipySBhZNhioy+s9mjB5AggdEjElFBr2NjEMk28CJsOm/qjMvPLiNNvDSYU2sOovGLSohwSOCeAD1K91DnB+4aCG9fb6OHZB/YK5utZfklVbs20Lq10SMS9oi5wOXLA15ewLBhRo/GKUlg4WTYse/6da1Yu0MHo0cjokqRIkDdulpLYX1hUhG6vy/8jTkn5yAaouHPOn+qtBYhIuKXYr+odU+uv7iOBacXGD0c+8Dp88uXtb7nc+ZoR5+FiMysxdy5wI0bRo/I6Uhg4UQ8PQOOZHO2OU4co0ckohJnpvgZ+/ffWoaBCNntV7fR6p9W/m1DK2aqaPSQhB2L6xoXvcpoPbyH7BkCTx9Po4dk2/ghpQcTf/4JJJGgXkRC2bJa/3Ufn4CdHmE1Elg4EbYgZcph6tRAmzZGj0ZEtbx5gR9+0M7rxfriUyywbbyqMV5+eIliaYphUAUpTBGR1+aLNkgdL7UKWuecmGP0cGzX7dtAq1YBR7wqSlAvLECftWCgyqJSYTUSWDiJ9+8D0g252jYbbgjHN3Cgtljt+vXA4cNGj8Y2Dd87HHtv71VHmZfUXYKYLjGNHpJwALFixkLfsn3V+WF7h8HD28PoIdkedpho3FhbMblYMek2ISyHr6evv9baF8vryqoksHASM2ZobZ0zZABatDB6NMJasmfXWsJTv35Gj8b2HLhzAIN2a18607+ajiyJsxg9JOFAWhRugQwJMuDB2weYcWyG0cOxPcOHA3v3AvHiaZ0mYkpQLyxIT4Natgw4c8bo0TgNCSycwJs3wMiRASkxrq5Gj0hYEwOKGDGArVuB3buNHo3tePXhFRqtagRfky8a5WuEJgWaGD0k4WBcXVzRv7yWhzhi3wi89Xpr9JBsx4EDAUeSp00DskhQLyysQAGgfn3tvOQDW40EFk5g8mTg6VMga1agaVOjRyOsLVMmoGXLgCCDnaKcnclkQpsNbXDr5S1kSpgJ02tON3pIwkE1LdAU2RJnw9P3TzH58GSjh2MbXr0CGjXSUqH4fxMJ6kUUYfDKfOC1a4Fjx4wejVOIUGAxbdo0ZMyYEe7u7ihevDiOHDkSptstW7ZM9YWvzR7VwiqYujp2bMD7i0euhfPp0wdwc9OyDrZtM3o0xlt4eiGWnVsGl2guWFJvCeK7xTd6SMJBxYgeAwMrDFTnxxwYo5oEODUe2WD3kFu3tKMe0yWoF1EoVy4teCWZtbDNwGL58uXo2rUrBgwYgBMnTqBAgQKoVq0aHj9+HOrtbt26hV9//RVl2QZMWM348VpwwQVMv//e6NEIo6RNG9AJjMX7zjxrce35NbTf2F6d5w5fibQljB6ScHDf5/keuZPlVkHFhIMT4NTYpYc57y4uWl1FfAnqRRRjQMHX27//Avv3Gz0ahxfuwGL8+PFo1aoVmjdvjty5c2PmzJmIHTs2/vjjjxBv4+vri0aNGmHQoEHInDlzZMcswojpTxMmBNQw8X0lnBc7OcaODXCCkV2inJGXrxcarGyAd97vUD5Def+1BoSISi7RXTC4glZIOuHQBJUW5ZSuXQPatw+YQi8hQb2wAuaBN2+unZcuJrYVWHh5eeH48eOoXLlywB1Ej65+PnjwYIi3Gzx4MJInT44W0o7IqsaMAd6+BQoVAurUMXo0wmgpUwasts4DOOzC52wG7ByAY/ePIZF7IrW6Nnf4hLCGOrnqoFDKQnjj9QZj9o+B0/HyAho00L6UypfXjnQIYS0MKNi5ZudOYMcOo0fj0MIVWDx9+lTNPqRIkSLQ5fz5IXuZBmPfvn2YO3cuZnN1tjDy9PTE69evA51E+HBzTJkSsE4Ma5eE6N5d6+x46hSwahWcyo6bOzBq/yh1fs7Xc5AuQTqjhyScSPRo0TG4ojZrMeXIFDx8G/x3psPi0QwWzyZKpKVDyRS6sKb06YHWrbXz0sUkSkXp7uabN2/QpEkTFVQkTZo0zLcbMWIEEiRI4H9Kl052AMJrxAjAwwMoXhz46iujRyNsRZIkQJcuAd/zbMriDJh60mR1E5hgQuvCrVE3V12jhyScUM1sNVE8TXF4+Hhg5L6PPcCdwfbtwOjR2vk5cwD5ThdG6N0bcHfXWh1v2mT0aBxWuAILBgcuLi549OhRoMv5c0rmWQRx/fp1VbRdq1YtxIgRQ50WLlyIdevWqfP8fXB69eqFV69e+Z/u3LkT3r/LqfHpmjlTOz90KBAtmtEjEraEgQUPGl68qNVQOkNr2ZbrWuL+m/vImTQnxlcbb/SQhJNiV8ShXw5V57lg3p1Xd5yj2I/tZHmEmEeM60pQLwySKlVAjY/MWthGYOHq6ooiRYpgO48+fOTn56d+Llmy5CfXz5kzJ86ePYtTp075n77++mtUrFhRnQ9pJsLNzQ3x48cPdBJhN2yYls7KNNZKlYwejbA1CRNqKVE0cCDg7Q2HNvPYTKy9vFYtVra03lLEcY1j9JCEE6uUqRLKZSinGgkM2zsMDo07bqytfPCAOwRam0IhjPTbb0CcOMDx49raFsL4VCi2mmVq04IFC3Dx4kW0bdsW7969U12iqGnTpmrGgbjORd68eQOdEiZMiHjx4qnzDFSEZd24AcydG1BbIbMVIjgs4k6WTGvSsnAhHNa5x+fQdUtXdX5U5VEomLKg0UMSTo6zFkMqDlHn556cixsvbsBhzZgBrFunFc0uXart0AlhJH7xde4cMGvhjF1MbC2w+P777zF27Fj0798fBQsWVDMPmzZt8i/ovn37Nh7w6IQwBNvK+vgAVasCsmSICEncuAFNWfia8fSEw/Hw9lCtZT/4fED1rNXRsXhHo4ckhMIZi6pZqsLHzwdD9mhBhsM5dw7o1k07P2oUUFCCemEj+LpMkEB7jf71l9GjcTjRTExAtnHsCsUibtZbSFpUyC5f1hbCYwB++DBQrJjRIxK2jMX9WbJoWQrTpgHt2sGhdNjYAVOPTkXyOMlxps0ZpIgbuJudEEY6cu8Iis8prrpFXWh3ATmS5oDD+PBB+wI6exaoXh3YsEFaEwrbwpQOdjDJkUMLMGLEMHpEDrMfLu90B8J8eQYVX38tQYX4vFixtFW49SJ/BhqOYv2V9SqooAW1F0hQIWxOsTTFUCt7LfiZ/DBw90A4FBZxMahInhyYP1+CCmF7OnXS2iTyiOzixUaPxqHIu91B8DN8+fKA1BYhwoJ1lRkyaLMWTId2BA/ePEDztVrNV5cSXVQalBC2SF/XYtm5ZTj76Cwcwvr1wFQtqMeCBVzoyugRCfEpHnVnIbe+CryjdzGxIgksHMSAAVoDjvr1gQIFjB6NsBdublr9Go0cqS2Ka8949LfpmqZq3YoCKQpgRKURRg9JiBCxmUD93PXV+QG7BsDu8QjFx0Yuqq8106CEsFVsPcvA9+ZNYN48o0fjMCSwcADsmrZ6tTbbzMBbiPBo2hTImhV48iRgtXZ7Ne7AOGy7sQ2xYsRSrWXdYrgZPSQhQjWwwkBEQzSsvrQax+8fh91iHi4/TLhuBY9ucZVWIWxZ7Njaonl6zQVrg0SkSWDhAPQjzo0aAblyGT0aYW9ixtTqc4iL4758Cbt07P4x9N6hfUlMqj4JuZLJm0HYvtzJcqNR/kbqfL+dHz/M7RHXqNi2TSveYmtZTocKYeu4aGPatMDdu8CsWUaPxiFIYGHn9u8H/v0XcHHR0qGEiIgfftA6ijGomDABduet11s0XNlQte+sm6suWhZuafSQhAizAeUHwCWaC/699i8O3DkAu5w214/8TpokR7iE/XB3Dzg6O3w48O6d0SOyexJY2Dn9/cC0VrYOFSIiGJjqaXQMLJ49g13p+G9HXH1+FWnjp8XsWrPVImRC2IusibOiecHm9jlrwcKsBg204te6dYGWEtQLO8MdqEyZgEePtN7rIlIksLBjO3YAO3dqi5rqAYYQEcV9Aq5h9eYNMGYM7Mbyc8sx79Q8lae+qM4iJI6V2OghCRFufcv1RczoMbHj5g51shsdOwJXr2rpJLNnc2lxo0ckRPjzgfWUD+YDv35t9IjsmgQWdoodoPRggimC6dMbPSJh71j8z/o1mjwZePgQNu/Wy1v4ef3P6nyfsn1QPmN5o4ckRIRkSJgBrYu09p+1sIO1a7Ue5+ymw2Bi0SIgsQT1wk6xSJWL5XG6nul8IsIksLBTmzYBBw5o6YF6aqsQkVWzJlC8uLZYHtvP2jLWUzRe1RivPF+hRNoS6F++v9FDEiJSepftDfcY7qrOYvP1zbBpt24BP2tBPfr0AcpLUC/sGFfe1ruYjB0LPH9u9IjslgQWdj5bwTbMqVIZPSLhKHjgUZ+14IJ5d+7AZg3dMxT77+xHPNd4WFJ3CWK6xDR6SEJESup4qdG+aHt1vu+OvrY7a+HjAzRuDLx6BZQoAfSXoF44gO++A/Lm1VKhxo0zejR2SwILO7R2rdaEI06cgIUjhbCUypWBcuUALy9g2DDYpH2392HIHi0Cmvm/mciUKJPRQxLCIn4r/RvixIyD4w+OY+3ltbBJQ4dqLQnjxQOWLNFy1IVwpHxgpkNxcScRbhJY2OEaRPpsRefOQLJkRo9IOPKsxdy52qKktuTlh5dotKqRWmW7Sf4maJivodFDEsJiksVJhk7FO6nz/Xf2V69zm7JvX8AHxMyZWjcdIRzFN98ARYpobWdHjTJ6NHZJAgs789dfwLlzQIIEQLduRo9GOCrOWFSpomU8DB4Mm8HUEBZr3351G1kSZcG0r6Q1oHA8v5b6FQncEuDs47NYcX4FbAYXumGRK49wNWkCNJSgXjjwkTW2nr1/3+gR2R0JLOwId/L0jmgMKhIlMnpEwpHpn60LFwKXL8MmzD81H3+d/wsxosfAknpLEM8tntFDEsLiEsVKhG4ltSNH/Xf1V40KDMd6DxZr374NZM4s/f6F46peHShVCvjwwXbzgW2YBBZ2hN38rlwBkiQBOmkz5UJEGXaHqlVLOzipN8sw0pVnV9Dh3w7q/JCKQ1AsTTGjhyRElOlcojOSxEqiXveLzyw2ejjA/PnalDm75yxdqtVXCOGosxasIyKuzfLff0aPyK5IYGEnWEirp6SwYDt+fKNHJJyB/ppju/qzZ40bh5evFxqsbIB33u9QMWNFdC/V3bjBCGEFnI3rUbqHOj9o9yB4+3obNxge0erQIWAqs5gE9cLBVawIfPmltqK8HmSIMJHAwk5wDSIW0aZIobWYFcIauBL3t99qWRB6Gp4R+mzvgxMPTqhVtf+s8ydcorsYNxghrIStZ1PESYGbL2+q1eUNO6rVoIFWzMqdre4S1AsnywfmDti1a0aPxm5IYGEHmOanv765GF7s2EaPSDiTQYO0meHVq7U2x9a29fpWjD04Vp3/4+s/kCZ+GusPQggDxHGNoxbNI7ZX/uDzwfqD6NsXOHFCW1X7zz8BFwnqhZNgnUWNGoCvr/ZFKMJEAgs7MGsWcO8ekDYt0Lq10aMRziZ3bq0RDFl7Hawn756g6Zqm6nzbL9rim5zfWHcAQhisdZHWSBs/Le6+votZx2dZ98G3bgXGjNHO//EHkEaCeuFk9KO6ixcDFy4YPRq7IIGFjePs8/Dh2nmuX+HubvSIhDNiGhQPVG7cCBw4YL3Wss3XNsfDtw+RO1lujK2qzVoI4UzcY7ijb9m+6vzwvcPx3vu9dR6Yi4M11YJ6tG2r9fcXwtlwTYs6dbR8YFvoYmIHJLCwcezo9+iRtgZR8+ZGj0Y4q6xZgR9/1M7rCzRGtWlHp2HD1Q1wc3HD0npLETum5AAK59S8UHNkSpgJj949wrQjVmjzyp0ofuE8fKhNWY6VoF44MT0feMUK4NQpo0dj8ySwsGGvXwOjRwccMY4Z0+gRCWfGgIKvwR07gJ07o/axzjw6g1+3/KrOj64yGvlT5I/aBxTChrm6uGJAea17wqj9o/Da83XUH9HasAFwc9Nay0phn3Bm+fIB33+vnTeyi4mdkMDChk2aBDx7BuTIEZDjLoRRMmQIqPFhkMGDmlHBw9tDtZb19PVEzWw10aHYxzaXQjixRvkbIXuS7Hjm8QyTDk2KugdiX+lftaBe1Vfkl6BeCJUGFT06sG4dcOSI0aOxaRJY2KgXL4Bx4wJm4bgmkRBGY1cy1vns3w9s3hw1j9FtSzdceHIBKeOmxLxv5iEap6CFcHJcbX5QBa0zzbiD4/DC44XlH8TDQ2st6+kJ1KwJ/PKL5R9DCHvEI7x6zZG18oHtlAQWNopBxatX2gxc/fpGj0YITerUQLt2UTdrsfbSWsw4NkOdX1B7AZLFSWbZBxDCjn2X5zvkTZ4XrzxfqeDC4jhTcf48kDKl1gVKgnohArAtIo/ybtkC7N1r9GhslgQWNojNOCZODFj5mLNvQtgKrvweJw5w7Jg2K2wp917fw0/rflLnu5XshqpZqlruzoVwANGjRcfgCoPV+YmHJqp2zBazdi0wfbp2fsECIHlyy923EI6AXXRatAhY3yWq8oHtnOyy2qBRo7Q2s+xyJh3+hK3h/kanTgGzFn5+kb9PXz9ftV7Fc4/nKJyqMIZX+thjWQgRSO2ctdV75J33O1XIbRFcKEnfYerWDagqQb0QwWJAwaYGe/YA27cbPRqbJIGFjXnwQGvIoa/LIjPRwhYxYyJBAq3O8++/I39/Yw+MxY6bO1RL2SV1l6guOEKIT7HmaGjFof4tmR+8eRC5O+SRAeaOs1NIoULAsGGWGagQjogrFbdpE/VdTOyYBBY2hovhffigrSRfvbrRoxEieIkSAV27BqSd+vhE/L6O3DuCvju1BcCm1JiCHElzWGiUQjim6lmro2Takvjg80Etmhcp7PzEHtJsKcvWsjwaK4QIWc+eQKxYwKFD2qqxIhAJLGzIf/8Bv/+unR86VGYrhG3r3BlInBi4fBlYsiRi9/HG8w0armwIHz8f1M9dH80LyiqQQoRp1uJLbdZi1olZuP3qdsTu6OhRLbWDJk/WOt8IIULH5gYdOlg2H9iBSGBhQxhMeHsDX34JVKxo9GiECF38+Foht97im6/d8Orwbwdcf3Ed6ROkx+//+11aywoRRl9m+hIVM1aEl68Xhu7RgoxwefNGay3L6Ua2HvxJa5wghAiDHj2AePGAkyeB1auNHo1NkcDCRly7BsybF1BbIYQ9aN8eSJECuHkz4PUbVkvPLsWC0wtUp5tFdRYhUaxEUTVMIRzSkIral8UfJ//AtefXwndjHnG9fh1In16bKpegXoiwS5JEm7bX84F9fY0ekX0HFtOmTUPGjBnh7u6O4sWL40goqxDOnj0bZcuWRaJEidSpcuXKoV7fWbGtLF+XNWpo9RVC2AO2ne3VKyAgZn1QWNx8cRNtNmgFcH3L9kXZDGWjcJRCOKbS6Uuregtfky8G79ba0IYJaynYUpa9zBct0oqmhBDhw0LDhAmBCxeA5cuNHo39BhbLly9H165dMWDAAJw4cQIFChRAtWrV8Pjx42Cvv2vXLjRo0AA7d+7EwYMHkS5dOlStWhX32N5OKHxN8rOdZLZC2JuffwbSpAHu3uWBhM9fn/UUjVY1wmvP1yiVrhT6lZdVTIWI7KzFojOLcPHJxc/fgNOLelcb1leUlaBeiAhhUNG9u3Z+wIDIdTFxINFMpvD1yuIMRdGiRTF16lT1s5+fnwoWOnTogJ6slP8MX19fNXPB2zfVl0f/jNevXyNBggR49eoV4jOx28F89x2wYgVQpw6wapXRoxEi/JhJwX0VpkXduKE1mAlJ/539MWTPEMR3i4/TbU4jY8KM1hyqEA6nzvI6WHNpjVqZe/m3oRw55Y5PuXLAwYPa1Pju3dpKwkKIiHn7Vls47+lTYO5ch61VCs9+eLhmLLy8vHD8+HGVzuR/B9Gjq585GxEW79+/h7e3NxKznUwIPD091R9hfnJUp05pQQXTWwcNMno0QkRM8+baZ+ujRwHrsARnz397MGyv1iefxdoSVAgReVyNOxqi4a/zf+H0w9OhXHGwFlRwEZrFiyWoECKy4sbV2s/q7y8vLzi7cAUWT58+VTMOKXhY0gx/fvjwYZju47fffkPq1KkDBSdBjRgxQkVG+okzIo6Ks2f0/fdAvnxGj0aIiHF11erX9JXj2XAmqBceL1QKlJ/JD80KNMMPeX+w+jiFcET5UuRTsxXUf9fHN2JQXClYX/xu5kwgowT1QlhE27ZAqlTamgFz58LZWbUr1MiRI7Fs2TKsXr1aFX6HpFevXmq6RT/duXMHjog17OvWafVzbNcphD1r3BjInl1bwHfSpMC/Y8Zlq39a4e7ru8iaOKtaCE8IYTkDKwxUHdbWXV6Ho/eOBv7lixdAo0Zav/0ffwR+kKBeCIth7m/v3gHrBnh4wJmFK7BImjQpXFxc8Ij5Dmb4c0ouGBKKsWPHqsBiy5YtyJ8/f6jXdXNzUzlc5idHxHVViKUmsi6RsHfMqtDT+caO1fZldHNPzsXKiysRI3oMLKm7BPHc4hk2TiEcUc6kOdEkfxN1vt9Os4YILKNs3VrrrpA1q7YQnhDCslq1Aphdc/++NiPoxMIVWLi6uqJIkSLYvn27/2Us3ubPJUuWDPF2o0ePxpAhQ7Bp0yZ88cUXkRuxg9i7F9iyRdsZ01NIhHCERgR58wKvXgHjxmmXXXp6CZ02dVLnh305DEXTFDV2kEI4qP7l+6vgffP1zdj7317tQqZm/P239mXDNrNc1EsIYVlubgE7cyNGaEXdTircqVBsNcu1KRYsWICLFy+ibdu2ePfuHZqzelMdfW+qUpl0o0aNQr9+/fDHH3+otS9Yi8HTWyd+0nkAiV3+qEULrehVCEfAtD7WrxHToe4+9ESDlQ3w3vs9KmWqhF9L/Wr0EIVwWJkTZUaLQi38Zy1MFy8CnbSgXtVXyIE9IaJOs2ZAlizAkyfAx86pzijc7WaJrWLHjBmjAoSCBQti8uTJqg0tVahQQQUQ8+fPVz/z/H8saAmC62AMDGNhgaO1m922DahSRQtwueJ22rRGj0gIy+EnCvdfTpwAivTuhuOu45EkVhKcaXsGqeOlNnp4Qji0O6/uIOuUrICnF56szor4568BlSppU+SM/IUQUefPP7X8di46yTVj2IHNAYRnPzxCgYW1OVJgwWebWWOHD2sHkiZONHpEQljev/8CX3XcBDSuoX5e98M61MpRy+hhCeEUOv3bCemHTEa3g4ApSRJEO3MGSC1BvRBRztdXywe+dElr++kgnXmibB0LEXkbN2pBBZsIhGE9QSHsUqEyjxCzfjN1Pt+H9hJUCGFFAzxLqKCCjg1tJ0GFENbi4hKQDzxhgtYm0clIYGFF7PSnd4L65RfgM420hLBLXKfip3XN4e32GHiUF5cmj8Ht20aPSggn8fgxErfpos5OLQr8HG29avcshLCSevWAAgV4mF9rkehkJLCwotWrgZMntaYcPXoYPRohosaUw1Pw77V/4ebihqK3l8L7fSzV2lsIEcUYQHCdikeP4JM7Fwb/Ly5OPjyJ1ZdWGz0yIZxH9OjAkCHaebZ3DrJEg6OTwMKKaXd6J7IuXYAkSYwekRCWd/rhafTYpkXN46qOw4ReedX5P/4Arl83eHBCODruxLDAyc0NMZb/hTZltZmL/jv7w9fP1+jRCeE8/vc/oFgx4P17rg4NZyKBhZUsXw5cuKA1CmBgIYSjYUvZH1b+AC9fL9TKXgvtirZD6dJAjRpaYK2nnQohosDp0wFT4VxEJm9edC3ZFQndE+L8k/NYfn650SMUwnlEixYwazFjBnDvHpyFBBZW4OOjNQegX38FEiY0ekRCWF7XzV3VYnip4qbCH9/8gWj8YEVAQLFoEcC2+kIIC+NR0R9+ALy8gFq1gHbt1MUMKrqX6q7OD9g1AD5+PgYPVAgnUqUKULYs4OmprSPjJCSwsIKFC7X1KpImBTp2NHo0Qljeqour8Pvx3xEN0fBnnT+RNHZS/99xTYvatbXmBQ7SeU8I29K1q9beMlUqLe/wY1BPHYt3VO/Ha8+vYeHphYYOUwinEi0a/AsM58zR1rVwAhJYRDEeQNKP2HJB8rhxjR6REJZ19/VdtFzXUp3n0dFKmSt9ch2+B/gZ+9dfWsaGEMJCVq0Cfv9de4NxcS4ewTIT1zUuepbWepsP3j1YpSoKIaykXDmgcmXA2zsgNcrBSWARxebOBbjwOA8ktW1r9GiEsCwWhDZZ3QQvPrzAF6m/wJAvg//gzJcP+O477byeFiiEiKS7d4GWWlCP7t21FbaD0bZoW5Wi+N+r/zD3xFzrjlEIZzdkSED6ypUrcHQSWEQhD4+AWbA+fYBYsYwekRCWNWr/KOy6tQtxYsbBkrpL4OriGuJ1mQbFLnxr1wJHj1p1mEI4HnZEaNwYePFCyzcM5Who7Jix0adsH3V+6N6h8PD2sOJAhXByJUpoXaL4nnWCfGAJLKLQzJnA/ftA+vQBB5WEcBSH7x5WbSxp6ldTkS1JtlCvnzMn0KSJdl5fKFIIEUGjRgG7dwNx4gBLlgCuIQf11LJwS6RPkB7339zHzGMzrTZMIQQCcuKXLQPOnYMjk8Aiirx9G9C6mOtXuLkZPSIhLOe152s0XNUQviZf/JD3BzQr0CxMt+N7IUYMYPNmYN++KB+mEI7p8OGAhZGmTgWyhR7Uk1sMN/Qvp91m5P6ReOv1NqpHKYTQFSoEfPuttoilg89aSGARRfhZ//gxkCUL0LSp0aMRwrLab2yPGy9uIEOCDJhRc4Z/a9nPyZwZ+Okn7XzfvtpnrBAiHF6/Bho00NIqvv8eaBa2oJ6aFmiKLImy4PG7x5h6ZGqUDlMIEQQDCn5XrlwJnDgBRyWBRRR49QoYPTrgdRQzptEjEsJyFp1ZpE7Ro0XHknpLVK/88GBAwawNZnHs2BFlwxTCMbVvr7WtzJBBy7cNY1BPMV1iYmAF7Wjp6P2j8erDqygcqBAikDx5gIYNtfP6jKMDksAiCkyYoNXT5cqlHVgSwlFwlqLdBm3xrQHlB6BUulLhvo906YA2bbTzMmshRDhwlUme2AWBdRURWG21Qd4GyJU0l+rkNvHQxCgZphAiBGyL6OICbNgAHDwIRySBhYU9e6YFFnqtDl8/QjgCb19vNFzZEG+83qBs+rL+XWYigmu6sEvaoUPAv/9adJhCOKbr1/1X1FY7J6XCH9STS3QXDKowSJ0ff2g8nr1/ZslRCiFCw3ooPX3RQWctJLCwsLFjtRTYAgWAunWNHo0QljNw10AcvndYpT4tqrtI7aBEVMqUwC+/aOdl1kKIz+DiWo0aAW/eAGXKAL17R+ru6uWuhwIpCqgmDGMPjLXYMIUQYcC2iMyR37YN2LULjkYCCwt69AiYPFk7z5binK0WwhFwrYoR+0ao87NrzVZtKyOrRw9tJfqTJ4HVqy0wSCEcFYv12AkqQQJg8WKttVoksD5qSEVt3YvJRyarYm4hhJVkzAi0ahUQZDjYkTXZ9bUgtpd9/x4oVkxbC0UIR/Dc4zkar2oME0xoUagFvs39rUXuN2lSoEuXgBlhNrkRQgTBI5ojtKAes2drCyNZwP+y/w/F0hTDe+/3GLnvY290IYR19O6trUPAvutbtsCRSGBhIXfvAjNmaOe52nY4GnUIYbNMJhNarmuJe2/uIXuS7JhUfZJF779rV63+9Px5YPlyi961EI5RtMfVtXlEs0ULoH59i901W0TrsxbTj07Hvdf3LHbfQojPSJMmoGbKwfKBJbCwkOHDAU9PoGxZoHJlo0cjhGXMPjEbqy+tRszoMbG03lLEcY1j0ftnUPHrrwHZHj4+Fr17IewXdzSYLnHvHpA9OzDJskE9VclcRTVi8PT1xPC9wy1+/0KIUPTsCcSODRw7BvzzDxyFBBYWwJbic+Zo52W2QjiKC08uoPOmzur8iEojUDhV4Sh5nI4dtbSoq1eBP/+MkocQwv4w7YnFRyzyXLoUiGPZoD7orAUPItx6ecvijyGECEHy5NoXoF5r4ecHRyCBhQWwUJtNO6pUAcqVM3o0QkTeB58PqrWsh48Hqmapii4lPxZDRIF48bQDNzRoEODlFWUPJYR9uHAB6KwF9aq+onDUBPVUPmN5VM5cGd5+3hi8e3CUPY4QIhjduwPx4wNnzgArVsARSGARSVeuAAsWBAQYQjiCntt64vSj00gWOxkW1F6gushEJaaapkoF/PcfMHdulD6UELbtwwdtdV4PD6Bq1YAOB1FIn7VYeHohrj67GuWPJ4T4KHFirdhQzwd2gC4mElhEEo+wcvaKXaCKFzd6NEJE3sarGzHpsJbPPe+beUgZN2WUPyYXy9Nb8zOdkPtUQjglTt+dPg0kS6YdtbJC3/ISaUugZraa8DX5YtBubfE8IYSVdO4MJEoEXLoELFkCeyeBRSScO6elvuqrbAth7x6+fYgf1/yozncs1hE1s9e02mOzTjVdOuD+feD33632sELYjo0bA4q0583TVpK0ksEVtS+xJWeX4Pzj81Z7XCGcXoIE2sJO+qwFc+vtmAQWkTBggNa449tvgUKFjB6NEJHjZ/JDszXN8OT9E+RPkR+jqoyy6uOzpTfXs9DTyt+9s+rDC2H8CqvNm2vnWdBZ03pBPbE5Q71c9dR6NQN2DbDqYwvh9Dp00Iq5b9wA5s+HPZPAIoJOnABWrdI6QDHAFMLeTTw0EVuub4F7DHfVWpb/W1uzZkDmzMDjx8DUqVZ/eCGMwXxavvj5ws+fHxhl3aBeN6jCIERDNKy8uBInH5w0ZAxCOKU4cYBevQIKdrl+gZ2SwCKC9COrrLHLk8fo0QgROdyJYME2Tag2AbmT5TZkHOysqQfq3Ld69cqQYQhhXUx/2rwZcHfX8mv5vwHyJM+DBvkaqPP9d338khNCWEebNkDq1MCdO1q7aTslgUUEHDwIbNgAuLho6VBC2LN3Xu/QYGUD1W6yds7a+LnIz4aOh8F6zpzAixfAxImGDkWIqHfyJPDbb9r5CROA3MYE9boB5QfAJZoL1l9Zj0N3Dxk6FiGciru7tgo3DRsGvH8PeySBRSRmK378EciWzejRCBG5oKLhqoa4/Owy0sRLgzm15qhFs4zEgJ3d1mj8eOD5c0OHI0TU9itnkR6LNWvXBn42Nqin7Emyo1mBZup8v539jB6OEM6lRQsgQwbg4UNgxgzYIwkswmnXLmDbNi1lgwslCmGv7r6+i7LzymLd5XWIGT0mFtVdhCSxk8AWcF+LqeavXwNjxxo9GiGiwPbtWo9yFmtmzAjMmaMV7dmAfuX7qc+EbTe2Yfet3UYPRwjn4eoakAozciTw5g2cIrCYNm0aMmbMCHd3dxQvXhxHjhwJ9forVqxAzpw51fXz5cuHjWypZ4fYAUoPJtgak0GlEPbo8N3DKDq7KE4+PImksZNiR7MdqJCxAmwFW/frC04y/Zw1rUI4jOnTgWrVgJcvgRIltPzaJLYR1FPGhBnRqnAr/1kLE7/8hBDW0aSJlg7z9CkweTIcPrBYvnw5unbtigEDBuDEiRMoUKAAqlWrhschfPMfOHAADRo0QIsWLXDy5EnUrl1bnc5xEQg7s3UrsG+flgbXp4/RoxEiYpaeXYry88urNSvyJs+Lo62Ookz6MrA1tWoBRYtqaaY8cCOE3fPxAX75BWjfXltht3FjYOdOq65XEVa9y/aGm4sb9t7ei603tho9HCGcR4wYAV1MOGXPAxB2JJopnIciOENRtGhRTP3YC9LPzw/p0qVDhw4d0JMrhgbx/fff4927d1i/fr3/ZSVKlEDBggUxc+bMMD3m69evkSBBArx69Qrx48eHEfgscdb66FGgSxct91sIe1unYsDOARi6d6j6uVb2WlhcdzHiucWDrWKjnOrVtTUurl8H0qQxekRCRBC7EXz3nZZLS8OHa6ts20j6U3C6bu6KCYcmoGjqojjc8rDh9VdCOA1fX6BAAeD8eS1VxuBVmMOzHx4jPHfs5eWF48ePo5fea1elLERH5cqVcZBTucHg5ZzhMMcZjjVr1sCeLOraBwUf/YcvMgPVowF7ZMZC2Jlzj8/j0cNTYIJDtSxVUefVV4i+4OPS8TaqqgkYlRW4dg1YWxPIm9foEQkRftFMfsi3fQISProCb7c42PHTIvyXpDZg4x0lU/v2hGu033H0/lHUHNcXiWNI/q8Q1vJFsTLofP48PEaPxoZC5fFtnUqwB+EKLJ4+fQpfX1+kSJEi0OX8+dKlS8He5uHDh8Fen5eHxNPTU53MIyWj1y7Ksnwqmjz4OA6ZrRB2qFygn7Z8PNk2Hh/tof9w+uNJCDt1G+lQy/MfnJlRAPYhOVCpE1B2BP59N9zowQjhVBanB8qlBAo/9ITPuIGAIwYW1jJixAgM0vtN2gAGFrdz5sZz11uqvo6FpULYm+jRXJAlUWYkjpUY9ubqVWk7K+zbc/dUWJ5jADK5p0Qm2A/v6L1w/ulTeMaQDgpCWNv44g/R9dBlPC9uO81VLBpYJE2aFC4uLnj06FGgy/lzyhCKz3h5eK5PTLUyT5/ijAXrOIyso/lhx0FVZyEppkJYnywXIxxBDdgj1mDNMnoQQjgnk1YGXdiOdj7Ddezd1dUVRYoUwXb23/6Ixdv8uWTJksHehpebX5+2bt0a4vXJzc1NFYeYn2yBHW1XIYQQQghhz6JFs7udz3CnQnEmoVmzZvjiiy9QrFgxTJw4UXV9at68ufp906ZNkSZNGpXORJ06dUL58uUxbtw41KxZE8uWLcOxY8cwa5YcARFCCCGEEMJRhDuwYPvYJ0+eoH///qoAm21jN23a5F+gffv2bdUpSleqVCksWbIEffv2Re/evZEtWzbVESqvtHcRQgghhBDCYYR7HQsj2MI6FkIIIYQQQjib1+HYD5f+RkIIIYQQQohIk8BCCCGEEEIIEWkSWAghhBBCCCEcc4G8oPQyEKNX4BZCCCGEEMKZvP64/x2Wsmy7CCzevHmj/jdykTwhhBBCCCGc1Zs3b1QRt913heIifPfv30e8ePEQzaCFQvTVv+/cuSOdqeyQbD/7JtvPvsn2s2+y/eybbD/79dpGth1DBQYVqVOnDrSkhN3OWPCPSJs2LWyBLa0ELsJPtp99k+1n32T72TfZfvZNtp/9im8D2+5zMxU6Kd4WQgghhBBCRJoEFkIIIYQQQohIk8AijNzc3DBgwAD1v7A/sv3sm2w/+ybbz77J9rNvsv3sl5sdbju7KN4WQgghhBBC2DaZsRBCCCGEEEJEmgQWQgghhBBCiEiTwEIIIYQQQggRaRJYCCGEEEIIISJNAoswmjZtGjJmzAh3d3cUL14cR44cMXpITmfgwIFq5XXzU86cOf1//+HDB7Rv3x5JkiRB3LhxUa9ePTx69CjQfdy+fRs1a9ZE7NixkTx5cnTv3h0+Pj6BrrNr1y4ULlxYdWHImjUr5s+fb7W/0ZHs2bMHtWrVUit1clutWbMm0O/ZN6J///5IlSoVYsWKhcqVK+Pq1auBrvP8+XM0atRILQyUMGFCtGjRAm/fvg10nTNnzqBs2bLqvckVSkePHv3JWFasWKFeK7xOvnz5sHHjxij6q51j2/3444+fvBerV68e6Dqy7YwzYsQIFC1aFPHixVOfc7Vr18bly5cDXcean5fy/Wn57VehQoVP3oNt2rQJdB3ZfsaYMWMG8ufP77+oXcmSJfHvv/86z3uPXaFE6JYtW2ZydXU1/fHHH6bz58+bWrVqZUqYMKHp0aNHRg/NqQwYMMCUJ08e04MHD/xPT5488f99mzZtTOnSpTNt377ddOzYMVOJEiVMpUqV8v+9j4+PKW/evKbKlSubTp48adq4caMpadKkpl69evlf58aNG6bYsWObunbtarpw4YJpypQpJhcXF9OmTZus/vfaOz6/ffr0Ma1atYqd50yrV68O9PuRI0eaEiRIYFqzZo3p9OnTpq+//tqUKVMmk4eHh/91qlevbipQoIDp0KFDpr1795qyZs1qatCggf/vX716ZUqRIoWpUaNGpnPnzpmWLl1qihUrlun333/3v87+/fvVNhw9erTapn379jXFjBnTdPbsWSs9E4637Zo1a6a2jfl78fnz54GuI9vOONWqVTPNmzdPPa+nTp0yffXVV6b06dOb3r59a/XPS/n+jJrtV758efVcmr8H+Z7SyfYzzrp160wbNmwwXblyxXT58mVT79691ecWt6czvPcksAiDYsWKmdq3b+//s6+vryl16tSmESNGGDouZwwsuKMSnJcvX6o37ooVK/wvu3jxotopOnjwoPqZb87o0aObHj586H+dGTNmmOLHj2/y9PRUP/fo0UMFL+a+//579UEvIi7ozqmfn58pZcqUpjFjxgTahm5ubmoHk/hhydsdPXrU/zr//vuvKVq0aKZ79+6pn6dPn25KlCiR//aj3377zZQjRw7/n7/77jtTzZo1A42nePHipp9//jmK/lrHElJg8c0334R4G9l2tuXx48dqe+zevdvqn5fy/Wn57acHFp06dQrxNrL9bEuiRIlMc+bMcYr3nqRCfYaXlxeOHz+u0jR00aNHVz8fPHjQ0LE5I6bKMD0jc+bMKs2C04XEbeTt7R1oOzF9In369P7bif8zlSJFihT+16lWrRpev36N8+fP+1/H/D7068i2tqybN2/i4cOHgZ7rBAkSqKla8+3FFJovvvjC/zq8Pt9/hw8f9r9OuXLl4OrqGmh7MW3gxYsX/teRbWp5nIbnFH2OHDnQtm1bPHv2zP93su1sy6tXr9T/iRMnturnpXx/Rs320y1evBhJkyZF3rx50atXL7x//97/d7L9bIOvry+WLVuGd+/eqZQoZ3jvxYjSe3cAT58+VS8M8w1M/PnSpUuGjcsZcaeTOYTckXnw4AEGDRqk8rPPnTundlK5g8KdmaDbib8j/h/cdtR/F9p1+Ib28PBQtQAi8vTnO7jn2nxbcMfVXIwYMdSXq/l1MmXK9Ml96L9LlChRiNtUvw8RfqynqFu3rnrur1+/jt69e6NGjRrqC8vFxUW2nQ3x8/ND586dUbp0abUDStb6vGSAKN+flt9+1LBhQ2TIkEEdaGOt0m+//aaC8lWrVqnfy/Yz1tmzZ1UgwXoK1lGsXr0auXPnxqlTpxz+vSeBhbAb3HHRsTCKgQY/WP/66y/Z4RfCin744Qf/8zyyxvdjlixZ1CxGpUqVDB2bCIxFojz4sm/fPqOHIiy4/Vq3bh3oPcgmGHzvMdDne1EYK0eOHCqI4GzT33//jWbNmmH37t1wBpIK9RmcZuQRuKAV+/w5ZcqUho1LQEX82bNnx7Vr19S24NTfy5cvQ9xO/D+47aj/LrTrsLODBC+Woz/fob2v+P/jx48D/Z5dMdhtyBLbVN6/lsPURH5W8r1Isu1swy+//IL169dj586dSJs2rf/l1vq8lO/PqNl+weGBNjJ/D8r2M46rq6vq1FSkSBHV5atAgQKYNGmSU7z3JLAIw4uDL4zt27cHmprkz5zmEsZh60oeneGRGm6jmDFjBtpOnBZmDYa+nfg/pyfNd3i2bt2q3oicotSvY34f+nVkW1sWU2D44Wb+XHMKl/n35tuLH77ME9Xt2LFDvf/0L1Feh61RmbNqvr14tIipNPp1ZJtGrbt376oaC74XSbadsVhzz51Spl/weQ+acmatz0v5/oya7RccHh0n8/egbD/b4efnB09PT+d470VpabiDYMsudquZP3++6nbSunVr1bLLvGJfRL1u3bqZdu3aZbp586ZqQ8lWbGzBxo4Zegs3tuTbsWOHauFWsmRJdQrawq1q1aqqhR/bsiVLlizYFm7du3dXnRqmTZsm7WYj6M2bN6pVHk/8qBk/frw6/99///m3m+X7aO3ataYzZ86oLkPBtZstVKiQ6fDhw6Z9+/aZsmXLFqhlKTtssGVpkyZNVCs/vle5/YK2LI0RI4Zp7Nixapuyu5i0LI34tuPvfv31V9XBhO/Fbdu2mQoXLqy2zYcPH/zvQ7adcdq2bataOfPz0rwd6fv37/2vY63PS/n+tPz2u3btmmnw4MFqu/E9yM/QzJkzm8qVK+d/H7L9jNOzZ0/VwYvbht9t/Jkd8bZs2eIU7z0JLMKIPYL5QmBPYLbwYm92YV1spZYqVSq1DdKkSaN+5gesjjuk7dq1U23d+IarU6eO+jA2d+vWLVONGjVUv3wGJQxWvL29A11n586dpoIFC6rH4Yc1+4mL8OPzyJ3SoCe2KtVbzvbr10/tXPLDr1KlSqrnt7lnz56pndG4ceOqVnvNmzdXO7bmuAZGmTJl1H3wdcGAJai//vrLlD17drVN2aKPPcZFxLYdd274hccvOu7kZ8iQQfVHD/plJdvOOMFtO57MP8us+Xkp35+W3X63b99WQUTixInVe4drxHAH03wdC5LtZ4yffvpJfS7y+eLnJL/b9KDCGd570fhP1M6JCCGEEEIIIRyd1FgIIYQQQgghIk0CCyGEEEIIIUSkSWAhhBBCCCGEiDQJLIQQQgghhBCRJoGFEEIIIYQQItIksBBCCCGEEEJEmgQWQgghhBBCiEiTwEIIIYQQQggRaRJYCCGEEEIIISJNAgshhBBCCCFEpElgIYQQQgghhIg0CSyEEEIIIYQQkSaBhRBCCCGEECLSJLAQQgghhBBCRJoEFkIIIYQQQohIk8BCCCGEEEIIEWkSWAghhBBCCCEiTQILIYQQQlhEtGjRMHDgQP+f58+fry67deuWoeMSQliHBBZCOKAff/wRcePGNXoYQgg7pAcDPO3bt++T35tMJqRLl079/n//+58hYxRC2KYYRg9ACGEZz549w+LFi7F3717s2bMHHh4eqF69OgoVKoTvvvtO/S+EEGHl7u6OJUuWoEyZMoEu3717N+7evQs3N7dPbsPPnRgxZNdCCGclMxZCOIBly5YhY8aM6NSpE44dO4aYMWOqo4kMNsaNG4fChQurWQwvLy+jhyqEsBNfffUVVqxYAR8fn0CXM9goUqQIUqZMGWwwIoGFEM5LAgsh7Nz+/fvRuHFj9SXP8zdv3kTlypXVF/zRo0dx//59NGjQAAsWLECXLl38UxkYiHzzzTef3N+HDx+QIEEC/Pzzz+rnXbt2qSDl77///uS6TLdiwBJaPvX58+eRKFEilTKh76Do12MQZO7p06ef5GhTcJeNGTNGXV6hQgX/y/Sx8n9zNWvWDPY+gtJvH9IpuL+Vs0N8rpIkSYL48eOjadOmePHiRaD75XNtflviDhtvz9/p+LzxsrFjx34ytrx58wb6Wxkk9u/fX+3gcXvFiRMHZcuWxc6dOz+b3mJ+Mn98cyE9B0Fz5RctWqTGECtWLCROnBg//PAD7ty5E2ic5cuXR+bMmfHkyRP/y7kteH/m+Hdzp3Tjxo3+l/Fv5t8eFK8b3HimT5+OPHnyqKPpqVOnRvv27fHy5ctPbn/48GG148zXJp+7/PnzY9KkSep33FahvQ7MHzes2zY0+nYPy/OtPyfBXZfb2NyMGTPUcxc7duxA1wvuvRwcfm7w4MTWrVsDbU/evmHDhsHeJizvM/r333/V65XPfbx48dR7lJ8V5s6cOaOeW752+HnGz7iffvpJjSm49+4XX3yhrpclSxb8/vvvwb7GwvKaFUJEnBxWEMLOjRw5En5+fmrWgl+WQSVNmhQLFy7EhQsX1JftgAEDkDx5chWMjB49Gs+fP1dfrrp//vkHr1+/Vr+PLH5ZMx0rZ86c+Ouvvyx2JJM7iiNGjAjTdbnjb76jGhYdO3ZE0aJFA13WsmXLYK/7yy+/IGHChGon5vLly2pn7r///vMPUoLDAKtPnz6IDG6jOXPmqJ2/Vq1a4c2bN5g7dy6qVauGI0eOoGDBgsHebvDgwciUKZM6z9msoEGQuTp16qBu3brqPFPsZs2aFej3w4YNQ79+/VSqHZ8fBg5TpkxBuXLlcPLkSfW8uLq6YtWqVShRooS6v+3btwebQrN27Vr89ttvmDhxotrhjwhug0GDBqnAum3btv7bgwE2g27O5BF3lBnopkqVSs3ycYf14sWLWL9+vfqZgSLvQ9ekSZNAzwUlS5bM4tuW21L/2/maXbp0aYjX5XtKfxwG5PpBA93y5cvRrl07FYR06NBB7cDzbxw+fHiYx8PAqGTJkmocNWrU8A8IXr16pXbGJ0+eHKG/888//0SzZs3Ua3XUqFF4//692k5MueLrRg/IuJ1u3LiB5s2bq23EwIOvQf5/6NAh//cXb8PPGW5Pbn9fX1/1Og9uG4XlNSuEiASTEMKuJU6c2JQhQ4ZAlzVr1swUJ06cQJf169fPxLf8P//8o36+fPmy+nnGjBmBrvf111+bMmbMaPLz81M/79y5U11vxYoVnzw2H4OPpZs3b5667s2bN03Pnz835c6d25QjRw7T06dPA91Ov97Ro0cDXf7kyRN1+YABAwJdHvSyHj16mJInT24qUqSIqXz58v6X62Pl/7rixYubatSoEez9BhWRv5Vj8PLy8r989OjR6vK1a9f6X8btY37b6dOnm9zc3EwVK1YMtO34vPG2Y8aM+eTx8+TJE+hv9fHxMXl6ega6zosXL0wpUqQw/fTTT5/cftasWeq+jx075n9ZzZo1P3ntkLe3t7ruoEGDPvl7OUa6deuWycXFxTRs2LBAtz179qwpRowYn1zO11uiRIlMjRs3Vj9zW+hfQSdPnlTPb/v27T8ZC/9m/u1B8TkyH8/jx49Nrq6upqpVq5p8fX39rzd16lR1vT/++MP/ecuUKZP6u/l8mdNf80GF9toJ67YNzZUrV9RjjB07NsS/z1zp0qXV/Qd93XAb6Ro0aGBKmDChycPDI0yv75Den3z+4sWLZ3r//r36Xf369f0fm38fX0OhPVdBXzdv3rxR42rVqlWg2z18+NCUIEGCQJfrj2lu6dKl6v727Nnjf1mtWrVMsWPHNt27d8//sqtXr6rXofluTnhfs0KI8JNUKCHsHI9Ucwbic1KkSOF/pJuyZ8+O4sWLq4JvHWcveESyUaNGnxxt5+PwyKj5KSRMp/r666/V0cBNmzapNCFLuXfvnjrCyKOOn+t8xSPlPFrNWZ2o0rp1a/8j4cQj5UHTeczx6CyPpnKmI3369CFeJ+hzzaOw5lxcXNRsAHHGituOR8uZDnLixIlgtwkxVeRz9Fqc4GYWzJ9bPi6P/JqPk0eWs2XL9klKFl9vK1euVK+3oUOH+l/+4MED1KpVSx0Z11ORguLfHvT54HNkbtu2bWrcnTt3RvToAV9tnM1hitqGDRvUzzwqzXRBXi/o0emQZpjCKizbNjjh2TbEvzO0baO/X5kCFdb7DAm3LwuyOZvD++T/IaVBhQVnITjjyNkZ8+3J1zM/j8xfN0xVMn+OeD3OfJH+Gudrg9u+du3aKvVNlzVrVv9Zloi+ZoUQ4SepUELYOX6ZXr9+/bPXu3btmvo/TZo0/pexHoA7QUzdyZAhg8oN9/b2VqkfQTG3OayYusBUBe7UBC38jCymcvFvZrpKaLni3OHo3bu3CpKYPx9VuENijsEOUzJC6ts/fvx4tZPEsXXt2jXEv5GnkIJDHetmmM506dIltd10eqqTOT0QZD3G5+g1CaEFblevXlW1OkH/fp15sKVjoMnb6LUhxDofdhgyT8cLin9fSKlHOr6GKUeOHIEuZ/DFHH399/p7Jbi6jcgKy7YNTni2jb59+H4NDQM1BgFMD+N7l0EGU5jCi88708JYsM3Aie+rb7/9FhHF1w19+eWXwf6eQaCOwTJTm5jm+fjx40DX0/8WXs7Ah4FEUEEvi8hrVggRPhJYCGHnmCs+bdo0lV/fokWLYK/z6NEjtRPKnQT9iB8xT5q52TyKzJ0hFjXyiHfQnTPiziCLLc3xSHNweDSROfMMWnhEf8eOHbAE5oizQJXj/NxOAJ8P7txv3rwZtoI7kCw679WrV6g70nzO6tevH+gyHnk3x+eAha08Utu9e3c1a8Wjvqw9CS7Q5HPB58z8qG5IHj58qP4PruuPjkd+eYSfM1x83KCCBiVv375VO9s8Us3Aizvh+rj4WqlXr56aieJMQlDMuZ89e3agyxgEB635sIdtGxzzQvCw4PZhfUJo+L5mjcmQIUPUznlkcIaCrz8+LmcBIlOHwNeNXmcR3OvLvA6LMwsHDhxQr2/WDPE1xduznkK/n/A+dnhes0KI8JPAQgg717dvX6xZs0al4PDILncC9LSZ27dvq2JZBgUs0uVRR/MUCu4AsRsLAwse2WeBK4tng5MvX75ABa0U3JczsaiYqVD8PQOf0IKe8OBOG3cwvv/++1CvxyOr3Jli8ernjuxGFo+CVqxYMdAONNN7gitAZgoQO+CwQDg0PKIa9Llm8a05ztbwSDzTO8xTeIKb6SB24GLbYfM0oZCw0J9y5coV4nXYeYdHfzk7wjSnz+G4mErDGRbOvLAAl0EfX7ulSpVSzwmvw23LwCPo3x70+Th16lSgn/XtzJ1pPi/maUN6pzR93HTu3LlP7jMywrptQ9o23KEOqeDeHGd3+DyGtm30NCIGY0z94kwIn9vTp0/j119/Dff4WLjOGULOQrIoPDL055+BcGjPPz+v+NnF9zE/v4LOeOh4P5wZ1WdkzQW9LLyvWSFE+EmNhRB2jkf9Dh48qI4k6mtW8Gj2u3fv1M4W0yC4k8FuTzxaHBTTnrgjyaOCDAQ4ixFZ+swGgxbeH++bsyaRwb+RR7ZZL/G5XHjm6vPvj2znpbDgUXPzNCR2t2H6V9D8bh6V5u+YmmKeOx5RelCn1csGtFDl8xQUty9PwbUXDg53HrlzH9rOKzskcQzc8TMfgz4m85ag3IlnByFel/fL4EafOWNQQXxeuGMenhQic9xJZdoTH8d8PAxqmTbD1yLx/cEdSwbQQdvQBv07wioy25aBz7p161RqUFiOmDMtKLRUoqCBOA8u8POAz09wXePCguPS/76QZinDijMtTHdidyrz941Ob0kc3Oubgh744PX4tzFAZWtt86CCMxMRfc0KISJGZiyEcADp0qVTO908Us5ZB6Zk8IjuzJkz1VFQnkLaGecOF4urmVrCneGwFIKHB3fyuYPKlpdsOWuOO8HmReB6YTl3CtgytVixYv6/27JlC6pUqRKmo8y8LttKWrJoPLQdw0qVKqm0DR4t5zoKbJvJGZugqxXzeWD9iSVwJoizFTyazG3Io/Lc3rlz51azJjrOCuhHqbnTy51M80J4BmC8jO2FeeScRfEsuOd9hRbA8egvj9Jz55U71kzJYmDAcaxevVqlc+mPy5kjri3B10BoO68TJkxQzyPTbsKy42yOaX4cC3camSrD51/fHmwdrLdPZlDDnWTuIPN9we3BYIezffosSnhFdNtynQaOl7MQ3Ibm20YvTuYOs35AgLMOnA1ksM52s6FhQTOfT6YcWWLWju1hLYFBBZ9/HtBgkMe/hduOARAL7EuXLo2pU6eq67EFLFtiMwBhbRjf13x9BcWAh7/jbTlzyxlb3gfraMxntsLzmhVCRFAEOkkJIWxccO1mQ9OuXTvVlnHJkiWf/C6i7WbNLViwQF2+bt26QNcL7WTeWpU/R4sWzXT8+PFA98vrBNduNlWqVKZ3794Fum5UtZvdvXu3qXXr1qqVaty4cU2NGjUyPXv2LNBt2ZaT1129enWgy3l/EW03y9aow4cPV7dne9NChQqZ1q9f/8l98jafe671r4JRo0aZihYtalq8ePEnjx/Stl25cqWpTJky6vnhKWfOnKptLNvL6tue227//v2BbmfebtZclSpV1H3orXTD2m5Wx/aovH3MmDFV6922bdt+0laW9u3bpx6LrVQ57vz585umTJliiki72bBs2+Doz8HnTnxd8vnLmjWraeDAgZ+0GQ7abpbtnVOnTq1azpqLSLvZ0ESk3az5WKpVq6ZazLq7u5uyZMli+vHHHwO1Q757966pTp06qj0tr8dWt/fv3w92e2zfvl29B9hymPc1Z84cU7du3dR9B/W516wQIuKi8Z+IBiVCCMfAQk+mjLA4k91jjMYjkFxgLugK2raEReQ8Qs12tix4t1VcII2nkFZD5pFbpgbJV4Ftvs5Z0M3Xmvmq6yJsOCPBWaigdRlCiKgjNRZCODm2x2QKBrvy2EJQIYQQ4cWWs+YYTHAtGQnIhLAuqbEQwkmx/zvzsNldiEWLEelmE1XYfz7oAmgiYliXEloRNmsb2BFMWB/XV/lc22TW0ARdv0R8ip3A2H5ZX7OEdRws5u/Ro4fRQxPCqUgqlBBOiukXbJPKYm0W7HLNCeF4qVBCOAO+F7lyNtM52VKbCwSy8xQLxIUQ1iOBhRBCCCGEECLSpMZCCCGEEEIIEWkSWAghhBBCCCGco3jbz89PrajJhWw+t+KuEEIIIYQQwjJYNfHmzRukTp1aLTJq94EFgwquLCyEEEIIIYSwvjt37iBt2rT2H1hwpkL/g+LHj2/0cIQQQgghhHAKr1+/Vgf49f1xiwYWe/bswZgxY3D8+HE8ePAAq1evVqtbfq6tZdeuXdUKmBxY3759Vb/psNLTnxhUSGAhhBBCCCGEdYWlHCHcxdvv3r1DgQIFMG3atDBd/+bNm6hZs6bql3/q1Cl07twZLVu2xObNm8P70EIIIYQQQggbFe4Zixo1aqhTWM2cOROZMmXCuHHj1M9cAXbfvn2YMGECqlWrFt6HF0IIIYQQQjhju9mDBw+icuXKgS5jQMHLQ+Lp6anyucxPQgghhBBCCNsV5cXbDx8+RIoUKQJdxp8ZLHh4eCBWrFif3GbEiBEYNGhQVA9NCCGEEEJYiK+vL7y9vY0ehginmDFjwsXFBZZgk12hevXqpYq9g1ajCyGEEEII21vngAeSX758afRQRAQlTJgQKVOmjPR6cVEeWHCQjx49CnQZf2Z3p+BmK8jNzU2dhBBCCCGEbdODiuTJkyN27NiymLGdBYXv37/H48eP1c+pUqWy7cCiZMmS2LhxY6DLtm7dqi4XQgjhmLx9vRHTJabRwxDC+ZhMgI8P81uslv6kBxVJkiSxymMKy9IP9DO44HaMTFpUuIu33759q9rG8qS3k+X527dv+6cxNW3a1P/6bdq0wY0bN9CjRw9cunQJ06dPx19//YUuXbpEeNBCCCFs1/iD4+E61BV5pudB181dsfnaZnh4exg9LCEcn68v8L//AbFjA+XLA8OHA8ePA35+UfaQek0FZyqE/dK3X2RrZKKZOAcSDlzsjmtSBNWsWTPMnz9fLXx369YtdT3z2zCQuHDhgloKvF+/fuFaII81FgkSJMCrV69kgTwRZnfuAE+fBv87ZtrlzAlEj/K+aEI4l0N3D6HMH2Xga/INdLl7DHeUy1AO1bJUw9c5vkbWxFkNG6MQDouBRJ8+n16eLBlQpQrbcgK1agGJElnsIT98+KAOMnNpAXd3d4vdr7Cu0LZjePbDwx1YGEECCxFe+/cD5cqFfpBm4EBgwABrjkoIx/ba8zUKziyImy9v4rs83+HbXN9i8/XN2HRtE+69ued/PTcXN+xotgOl0pUydLxCOJRDh4AyZbRZC64dxvQWLka8fTvTTQKulzEjcOYMEC+eRR5WAgvH8MFCgYUcrxUOh6Fyr15aUJEwIZAmTeBTypTa9caMYT6h0aMVwnG029BOBRUZE2bErP/NQv089THn6zm40+UOzrU9h3FVx6FwqsLw9PVEz209VdGgEMICuN5Xw4ZaUNGgAcB087ZtgTVrgOfPgd27gd692e8fuHULmDLF6BGLCMqTJw+ePHmidvKzZcuGN2/ewJZIYCEcztatwN69WrrTuXPA3buBT/fvA198Abx7B4waZfRohXAMi84swuKzi+ESzQVL6i5BAvcE/r9jh5g8yfOga8muWPvDWjVjsff2Xmy7sc3QMQvhMNq1Y9GrNhsxYwbfdAG/YxE3p/CHDQPGjw84siatYVVafu3atT+5nCn8/Nyyxfa5zZo1Q+rUqZE4cWJ89dVXiGehmSdLkcBCOBQeAO3bVzvPgzWcoQiKn7dDhmjnp0/XAg0hRMRdf35dzVbQgPIDUDJdyF3/0sZPi7ZftFXn++7sK7MWQkTWokXA4sUAO/nw/wQBQf0nvv8eyJ1bCyr0IEPYlR49euDZs2dq1mLSpEmwNRJYCIeyfj1w9KjWEKNnz5Cvx/q10qWZU6jVugkhIt5WtuGqhnjj9QZl05dF77K9P3ubnmV6InbM2Dhy7wjWX1lvlXEK4ZCuX9eOohGLBkt9pm6Jwcfgwdr5iRND7nAi/LExERePM1euXDk1o6F3SN2zZw9y5cqlOiuxFqFatWq4evWq//UzZsyIiXy+P+rbt69qZsRmR2F9DPNZFNY5cMaiSZMm6rI1THmzERJYCIfBmop+/bTzHTtqqaQh4azF0KHa+VmzgP/+s84YhXA0A3cNVAFCQveEWFR3EVyif77/eYq4KdChWAd1vv+u/vAzRV0rTCEcFtuCsq6Chdlly2o1FGFRpw5QqBDA3HymRFkYJyGZamzEyRoToKtWrcLJkycDXZYmTRpMnToV58+fx759+xA9enT8/PPPwd5+3Lhx+P3339Wabgw4wvoYQR0/fhzr1q2DrZHAQjiMlSuB06cBNizo3v3z169QAahUSfts1lOjhBBht/PmTozYN0Kdn11rNtInSB/m23Yv1R3xXOPh1MNTWHVxVRSOUggHxRmKI0e0LiVMhwrrombss65/6bGI++FDiw7r/XsgblxjTnzs8Fq/fj3ixo0b6FSjRo1gr8s1Hn777Td1MpclSxZUqlRJdVRiQTVXr+bCgUHNmTMHgwcPxqZNm9QMR3geI6iuXbuie1h2dqxMAgvhEPj+1VvHshlG4sRhu53+2Tp/PnDtWtSNTwhH8+z9MzRZ3QQmmNCiUAt8m/vbcN0+Sewkqpib+u/sD1+/T7+EhRAh2LkTGDlSOz97NpA+7EG98tVXQPHigIdHwP04Ka7Npi/8rJ8YAARn2rRpKtWpUaNGn/yOC0XHjRsXceLEwZEjR1R6k7m1a9eqWQwWXufNmzfE8YT2GDqmPnHx6W7dusHWSGAhHMLSpcDFi9qaP+FZ1L1kSe3zlYHJoEFROUIhHAcLrlv900qtTZE9SXZMqh6xAsIuJbogkXsiXHx6EUvPLbX4OIVwSM+eAU2aaHk/LVoA34YvqP8kH5hdpLiirIWwxpHZWUacIrL4NwOBrFmzBjoxtSmoFy9eYMiQIRg/fryqawiKAcOpU6ewe/duJEqUCCODBGz79+/H8uXL1W0HciGtYHzuMfQZDRZwDxs2DLG4VomNkcBC2D2mMunv0R49Qm+IERy9jo3NNC5csPz4hHA0s47PwupLqxEzekwsrbcUcVzjROh+2JKWKVE0aPcgVQguhAgFg4mWLYF794Ds2YHIdAViLnD58oCXl9aK1kK4PxwnjjGnEPbFLYI7/GXLllVF1cGJESOGCkrKlCmDX3/9FYu5U2GmZ8+e+Pbbb9VMxoQJE3CUnWbC+Rg0Y8YMNTPCwm1bJIGFsHsLF2qNMZIlA375Jfy3L1JEq2Xj53UIBxGEEB9deHIBXTZr04IjKo1QC95FRofiHZAsdjJce34NC08vtNAohXBQ7DbCDkBcm4JT9dybjijz3utz52rrYIhgvX//HrNmzcLo0aNDrNPgjMTt27dx4MABdb1CLJA3wy5OVKxYMXTu3BnNmzeHF4O6MD6Gjr9nAXhIMxpGk8BC2DVPz4AZB662zeKtiGAaFN+jK1YAHzu7CSGC+ODzAQ1WNoCHjweqZqmKLiXDkXcYgriucdGrTC91fvCewfD08bTASIVwQJxS13N9mWZTOHJBvcJuUlWrAj4+AV+mItj0IwYC2TlLFIy7d++qheuyZcuGOnXqqFSqoDMW5gYNGgQ/P79AKVGfewzzmhCebFU0kx2sTvT69WtVyMLly9m7VwjdtGnaLEXq1FrxdWTSDdm1jweAatUCbLCDmxCG67ypMyYdnqRmGM60PYOUcVNa5H49vD2QdUpW3H9zH1NrTEX7Yu0tcr9COAwuusRi6zNntEDg33+17k6WwM5SvG/eH4OXHDnCObQPuHnzpuqI5O7ubpkxCasLbTuGZz9cZiyE3WIzCz0tlKttR7aGiQcO+Ln6zz/A4cMWGaIQDmPj1Y0qqKD5tedbLKigWDFjoW/Zvur8sL3DVKAhhDDDFV8ZVDDnd8ECywUVVKwY8PXX2mJQkg8sIkkCC2G32MjiwQMgQwatMUZkcfaxaVPtfP/+kb8/IRzFw7cP8eOaH9X5jsU64qtsX1n8MVoUboEMCTLgwdsHmHFshsXvXwi7tXFjQJE2W5imtFxQ709Pg1q+HDh71vL3L5yGBBbCLrGt3IgRAUGAq6tl7pf3FSMGsGULsGePZe5TCHvGVbGbrWmGJ++fIH+K/BhVZVSUPI6riyv6l9ciei6699brbZQ8jhB2hYvX/agF9ejUSeuPHhUKFADq19e6mOiLQgkRARJYCLs0eTLw9CmQNWvALIMlZMqkdfKjfv20z1ghnNnEQxOx5foWxIoRS7WWdY8RdTnUTQs0RdbEWfH0/VNMPjw5yh5HCLvA1KRmzYAnT7Qd/6heyI5dTJhitXo1cPx41D6WcFgSWAi78/IlMGZMwOcgZxgsqU8fwM1Nm7HYvt2y9y2EPTnx4AR6buupzk+oNgG5k+WO0seLET0GBpbXcrzHHBiDlx9eRunjCWHTJk7Ups9ZQLhkCRDVhdG5cgH6as+SDywiSAILYXcmTNCCi9y5ge+/t/z9p00LtGkTUBQusxbCGb3zeqday3r7eaN2ztpoXaS1VR73h7w/qACGQcWEgxOs8phC2JyTJ7WCbRo/XvvCswYGFC4uWl3HgQPWeUzhUCSwEHaF6U8MLPRaM37+RQV+nseOrXWH2rAhah5DCFtvLXvl2RWkiZcGc2rNsdpiTC7RXTC4glZIOuHQBDx7/8wqjyuEzXj3DmjQgAsbALVrAz//bL3HZn5x8+YB+cBChJMEFsKuMAXqzRuAC1pyteyowqYbHToEfLYy1VUIZ/H3hb8x5+QcREM0/FnnTySJncSqj18nVx0UTFkQb7zeqJQoIZxK587A5ctAmjTAnDna6q3WxC89dkTZsUM7CREOElgIu2qOMWWKdn7IEMu28Q5O9+5AvHjaStyrVkXtYwlhK26/uo1W/7RS53uW6YmKmay/wmv0aNExpOIQdZ5F3Gx3K4RT+PvvgGDizz+BJNYN6pX06YHWH1MfpYuJCCcJLITdYEMMLorHBUKjquOeOX6ed+minWf3PV/fqH9MIYzk6+eLxqsaq/qGYmmKYVCFQYaNpWa2miiepjg8fDwwcl8Ud8MRwhbcvg200oJ69OoFVLR+UO+vd2+tWJx1Fps3GzcOEWFTpkzBEB6FBTBt2jT8+uuvsAYJLIRduHNHWxCPhg613swwA4tEiYALF4Bly6zzmEIYZfje4dh7ey/iucbDkrpLENMlpmFjYU2HPmsx89hM3H1917CxCBHleOSqcWOtMwlXwjZ6BexUqYD27Z2ii8nDhw/RoUMHZM6cGW5ubkiXLh1q1aqF7XbeFvK7777DggULEDNmTAwdOhQtLLGScBhIYCHswrBhgJcXUL48UKmS9R43YUItJYr4Oc9aOiEc0YE7BzBotzZDMb3mdGRJnMXoIaFy5sool6EcPH09MWzPMKOHI0TUGT4c2LtXy79la9mYxgX1/n77DYgTR1vTYu1aOKJbt26hSJEi2LFjB8aMGYOzZ89i06ZNqFixItrrgZWdSpEiBa5cuYL//vsPd+7cQS62E7YCCSyEzbtxA5g7VzvPWT1r17GxiDtZMuDaNWDhQus+thDW8OrDKzRa1Qi+Jl80ytcIjfM3hi0wn7VgMfnNFzeNHpIQlsd0Iy7KRNOnA1mMD+oVfvGxkNyBu5i0a9dOfc4cOXIE9erVQ/bs2ZEnTx507doVhw4dUtfh72fMmIEaNWogVqxYambjb9bCmOGOO2cIEiZMiMSJE+Obb75RQYs5/sz7Cnp6yVmqj/jzmjVrAt2uQoUK6KxvBwAZM2bERK5x8hFnVni72uwgFuQ20aNHR+rUqXH9+nU1c1GwYEFENQkshM1jMOHjA1StCpQta/3Hjxs3oJ04W9x6elp/DEJEFZPJhLYb2uLWy1vIlDCTmq2wJZyxqJqlKnz8fDB4j9aGVgiH8eqVtigdU6H4P9OhbEm3bkCCBMC5c8Bff4X5M4Xr4Bhx4mOH1fPnz9XsBGcm4nBmJggGCbp+/fqpwOP06dNo1KgRfvjhB1y8eFH9ztvbG9WqVUO8ePGwd+9e7N+/H3HjxkX16tXhxVSLILZt24YHDx5g5cqViCw/Pz9069ZNPV5ounfvDveoXmDxIwuvWSyEZbHjnj5L8LEGyRBt2wLjxmm1dZw9adfOuLEIYUkLTy/E0nNL4RLNBUvqLUF8t/iwNZy12HJ9ixprrzK9kD1JdqOHJETkcSeYq7HyyHamTKywhc1hkSGDCy6cx3zgb78FYoS+6/je+z3ijgh9RzeqvO31FnFcPw0SgnPt2jUViOTMmfOz161fvz5atmypzrMgeuvWrao4evr06Vi+fLnawZ8zJ2C9n3nz5qnAZNeuXajKo6LgQUntqGTKlCnViTMbkcUaCt4vZ0jevn0b7HV27tyJAwcOqPHzfFSTGQth0/g5xtnXr7/W6tmMEisW0KdPQPE4u1MJYe+uPb+G9hu1POLBFQejRNoSsEXsUFUrey34mfwwcJfBRa1CWAqPmrErCFd6ZV0FZwZsUadOWptEHulbvBiOIjyzGyVLlvzkZ33GgrMYDFI4YxE3blx1YtDw4cMHlYKke/ZMW+wzfvzQD940aNDA/3544ixIcN6/f4++ffti9OjRiBFCsMe/kTMaAwYMQAIrvb5kxkLYrLNngeXLA1KQjMaGCqNHA//9B8ycGdCKVgh75OXrhQYrG+Cd9ztUyFgBv5X+DbaMgc8/V/7BsnPL0Ltsb+RNntfoIQkRcSza04uDWV9RwjaDeoU7wizk7tFDG2vDhqEWl8eOGVvNHBiBjx1W2bJlUzMMly5ditRjcqaABeCLgwm6krFO5aMbN27A1dVV1TyEZsKECahcubL/z0y9Cg6LzXPkyKE6WIWUVrVw4UK8e/cObdq0wTB2wbECmbEQNotrR/CAQv36QIECRo8GcHPT6tdoxAh+mBg9IiEirv/O/jh2/xgSuSdSq2u7RHeBLeNK3N/m/hYmmDBg1wCjhyNExDHvvkED4N07rdWhXsRnyxgEpUgB3LzJPJ9Qr8qddaYjGXHSU5HCgrMKrI3gGg/c+Q7KvKhaL+Q2/1nvslS4cGFcvXoVyZMnR9asWQOdzGcJdu/ejVKlSsGFM1ShYJqU+X2wYDwo1miMGzdOnULCGY0+ffpg1KhRqnDbWiSwEDaJ3e1Wr9ZW19abZdiCpk2BrFmBJ08CVgEXwt5sv7Edo/ePVufnfD0HaeOnhT3ggn3REA2rLq7C8fvHjR6OEBHDeoVjx7T6Ba6u/ZkdTZsQO7a2aJ5e8PjhAxwBgwpfX18UK1ZMHfVngMAUp8mTJwdKf1qxYgX++OMP1b6VaUXsIvXLL7/4zygkTZpU1Tns3bsXN2/eVLUVHTt2xN27d9X979mzB0uWLEHdunXVuhk8sXicHj9+HKFx16lTB4UKFQrxOny8LFmyBOoWZQ0SWAib/dwlzgBaqfVymDDo19ctGjNGa+ghhD15+v4pmqxuoo78ty7cGnVz1YW9yJ0sNxrl19IC+u/6+CEhhD3homvMqaU5c4B06WA3WrcG0qYF7t4FZs+GI2Dr2BMnTqh1K1iLkDdvXlSpUkW1cGWLWd2gQYOwbNky5M+fX6UXLV26FLlz51a/ix07tgoc0qdPrwIHzmRwMTrWWLCegq1oy5cvr2YQGGykSpVKndhlipjOFF4sFv9cahMfL7QZjShjioCpU6eaMmTIYHJzczMVK1bMdPjw4VCvP2HCBFP27NlN7u7uprRp05o6d+5s8vDwCPPjvXr1ihU26n/h+PbvZwKUyeTiYjJdvWqyOT4+JlPu3NoYBwwwejRChJ2fn5+p1pJaJgyEKefUnKZ3Xu9M9ubqs6sml0Eu6m84cPuA0cMRIuyePDGZUqXSvjxatzbZpZkztfGnSGEyvdM+P7g/d+HChXDt19kT7n+uXr06wre/efOm2mcOSYIECUy2ILTtGJ798HDPWLCtFhcO4VQQo7wCBQqoHLWQpnI4FdOzZ091fU4vzZ07V91Hb31KTYgg9DqG5s21tCNbw1lrPT1r/Hh2ejB6REKEzYxjM1QBtKuLK5bWWxquQkdbkTVxVjQv2Fyd77fz44eFELaO+6fsAPLgAcD2phMmwC7xi5mtcR89ss32uDbIxcUlUBF3cCtkO5JwBxbjx49Hq1at0Lx5czUNNHPmTDUNxNyz4LB3bunSpdGwYUO1WiD7+bKVFvPThAiKLZZ37ABcXQMCDFtUty7ABSzfvAHGjjV6NEJ83rnH59BtSzd1flTlUaoY2l71LdcXMaPHxPab27HzZtT3ZRci0thKcN067cuNLWZZs2CPOH52VqFRo7QvQRGqdOnS4ejRoyH+/jLb+DprYMEVBI8fPx6oDRaXC+fPBw8eDPY2rIDnbfRAgu22Nm7ciK+++iqyYxcOeEBHDyZatQLSp4fNYlG53gJ38mTt4I0QtsrD20O1lv3g8wE1stZAp+KdYM8yJMyA1kVa+89ahKcfvRBWx1Wru3bVzrO+whbaHEYGix+zZ9em6ydNgqPj54u1C6CdJrB4+vSpqm4POm3Dn1nhHhzOVAwePBhlypRR7a5YoV6hQoVQU6G4iuDr168DnYTj27wZ2L8f4Krz9pAp97//aYv2vX8PjBxp9GiECFmPrT3UjEXyOMkx75t54WrJaKu4loV7DHfsv7Mfm69vNno4QgSPq6mytSy7KNWoAXTsCLvHxdj0fGBO2UsXE2HNrlBsuTV8+HC17DlrMlatWoUNGzaoJdFDMmLECNX7Vz9xGkk4z2wF22V/Zv0Ym8B9M67CTWwewUYZQtiafy7/g6lHp6rzC2ovQIq4jpHPmzpearQvqi0wJrMWwmZxUTnOWPCA7Pz52heHI/juOyBvXi2o+My6FsK5hCuwYJ9eFqE8CpL3wZ+5oEdw+vXrhyZNmqBly5bIly+f6rvLQIPBA9tlBadXr1549eqV/4mtuoRjY+op23rHiaMt8GkvmBVYtixn2QArLWopRJjdf3Mfzddqhc5dSnRB9azV4Ui4WnicmHHUQn9rL681ejhCBLZ+PTBVC+pVUJE8ORyGeT4w1+Lw9TV6RMIeAwsuRc5ly9nfV8fggD+bLyQStI8u6zDM6asOhnSEyc3NTfX+NT8Jx8X4Up+t4CxxKM0TbHrWYu5cbVFSIWyBn8kPzdY0wzOPZ6pQe0SlEXA0/2fvLqCjupo4gP9DlCQQ3N3d3QLF4aNF2kLQUqS4Q9EED+5uBYoUKFqguLu7W3GXAAnR/c7cy8smIQkJ2exdmd85275sVi77srtv3p07k9IlZeh6EeokTv9mxkwCVX+iCkqkZ0+glmUF9QKtOyheXHYQ55R19q2pUFRqdv78+ViyZIkoH9uxY0fRCp2qRJGWLVuKGQdNvXr1RJMRaixC3Qh37twpZjHo+q+1NWfWYc0a4OJFgDrf9+0Ls1OpElC9OhAYKBuSMmYKJh6ZiF13domSslRa1tHOEZaoT7k+cHN0w8XnF7Hm8hrVw2FMni1r2ZIWpsrygd6WF9SHnlnTvvSoOlRAgOoRMRNgF9s7NG7cGC9evICnp6dYsF2kSBFs27YtdEH3/fv3w81QDB48WCwUpP8/evRI1PKloOJrHQOZdQgK0leu690bSJoUZok+W3fuBJYuBfr3lwUzGFOFUoMG7pEVEKbWmoo8KfLAUiVNmBS9yvaC1z4vcWmUrxHsEsT6q40xw6Fux7t2AQkTAitXUhoGLBbNxBQtKhdKUiDFGSZWz4a65MHEUVUoWsRN6y04Lcqy0IF4q1ZAsmQyjcicd2+9ejKltmlTYPly1aNh1upDwAcUm1sMN1/fRKO8jbDmpzUWUQUqOj7+Psg6NSte+70WC9RbFm6pekjMWtFiQUoNp7Nm8+bJ2ukW7tO+fbj76ROypkwJJ1rQbcmBlJnw8fFBpUqVcOjQIbx9+1ZUY71161a09/n06ZPILMqaNSucqDznNx6Hx3tVKMaiQqlDQ4fKbVqwbc5BBdHWsdEJKioCwpgK3f7tJoKKjIkzYn69+RYfVJDEjonFQm4ybP8wBAYHqh4Ss0YfPsgzSxRUNGoEtG0Lq1CmjKwTT+epaW2JGfnll1/EZ6R2SZ48OWrVqoULFy7AnCVOnFi0eUiSJIloTk3LFoyFAwumDFWoo1kKyqKjErPmjmaDf/xRfrZq6V2MGdPqy6vxx7k/YAMbLGu4TKQJWQsqPZvaJTXuvLmDxecWqx4Os0ZUfeTmTSBDBjlbYQVBfagkSeT/KR2KenaYEQoknjx5Ii5UjMjOzg7/o0ZVZm7GjBl4/vw5Xr9+jd6Ua24kHFgwJehzR1vzRc3wqMysJaCeQfRdsm4dcOaM6tEwa3Lv7T20/0d2ox5UcRAqZa4Ea+Li4IIBFWThkOEHhosu44wZzapV8mwZfQEsWybze60JpT+5usptM5u1oEqk1DKBLrRuuH///qLNAa0nvnfvnpjJOHfuXKT3pRmBxVRK+LOHDx/Cw8MDyZIlg4uLC0qUKIHjx4+H/p6KGVGjaKqymjt3bvxJpXrDoOfasGGD2KaVClQQqVChQnjz5o24bujQoWKMmoCAAOTIkUPcj1KeCI2HxkVoHDR7QWlR0f07DIkDC6bE/PmyoRyd2Gkvj4UsQr58QLNmctvTU/VomLUICglC83XN8c7/HcpmKAuvytY5ZfZbid+QPlF6PPR5iPmn56seDrMW9+4Bv/0mtwcNAtzdYZW0Ph00a0EXKkNr7Esclw1/+PABy5YtEwfrlBYV2/u6u7uLQkWbNm3C+fPn0a9fv9CebevXr0f37t3F7MGlS5fw22+/iYqqe/fujfTxunXrhiNHjmDHjh1IGkVlG5qViNhbLiJqTH327FkYCwcWzOh8ffXN5AYPlqmZloTSoKiS8pYtwNGjqkfDrMHIAyNx+MFhsdZgecPlVlsVycnOCUMqyaY4ow6Ogm+gr+ohMUtH6ymaN5cdqGmtgTWfUXJ2lilRlJJADaloBsPYFzrAiKXNmzfD1dVVXBIlSiSCglWrVn3Rg+1rVqxYIWY5aMaB1jdQcPLzzz+H9nmbMGGCWNPRqVMn5MqVS7RvaNiwobg+IqqkSoHIrl27omxATSlOI0eOxO/RdBUODAwUv4/uNobGgQUzupkzqVs7kDWrvn+QJcmRgxaEyW2t8R9j8eXQ/UMYcUDmFc6pOwdZk2aFNWtdtDWyJsmKZx+fYdbJWaqHwywddUg9fBhIlIiOLAF7e1i1dOlgbqpUqSJShOhy4sQJ1KxZE7Vr18Z///0Xepty5cqJoCNjxoyi7QKlPEVE9y9atKhIP4oM9X4rX758uOvoZ7o+4iwEtWSgVClaeB2V4cOHi7FTEBOVmTNnimpOzbRUCiPgwIIZFTXnHDtWf2bfwQEWiQIK+n6hJvVRzHIyFmdv/N6g2bpmouM0lVj1KOgBa+dg6wBPd3nWeMyhMXjv/171kJilOnRIv1hwzhx5tsza0awFBRcHDgDnz8tKWca80PPHEq2FoNkFupQsWRILFiwQjZ+pGbSGZjAonWjlypW4efMmOnTo8MXjJKS+JQZAwc3WrVtFutTcuXMjvQ2NgcY5VjugigStyxgxYgQmTZpk1OqAHFgwo5o6FXj1CsidW78WwRJlzqxfO0JBhul3i2Hmhhb2ddjSAfff3Uf2pNkxo/YM1UMyGc0LNUeu5Lnwyu8Vph6fqno4zBLRYlr6EtO6bFOZWSalTy+bA2qduKk6i7EuBjiApoNwSoPy8/MLvY5mKijwoNmBNm3aRLoImhZZnzt3TqQoRSZv3rw4TLNbYdDP+WhxZhhTpkwRMyazZs1C3759RePpiCi1qW3btmJMUaGgomLFimLhtjFxYMGM+jlMDUm16kl2Fp4GTtWuaP0IfY7s2KF6NMzSUFlZKi9L6ylWNFqBRI6JVA/JZNBrMqzyMLE94cgEMbPDmMHQmSI6Y00HfNmzU+6K6hGZFvri0xY+P3oEU+fv74+nT5+KC6Ulde3aVSzErkddb8NUX6IGcpQe9ffff6MANQKMgKpBpUmTBvXr1xcBw507d7B27Voc/bzYkoIEqthElaFoxoFmEmhhdZ8+fcI9jpZK1ahRI9SpU0cEEGFRo7t9+/bBM5r1PL6+vpg3bx7GjRsHY+PAghkNBRW0vq1gQeCnn2DxaDa4Uyf9InWetWCGcv3ldXT9t6vYHlFlBEqlL6V6SCbn5/w/o0CqAqJS1sSjn89oMGYIVF509Wp5dozWVdD6CvblFyDNHlD+83vTTkfctm0b0qZNKy6lS5fGyZMnsWbNGtGtWkPXU6oTlXqlRd6RpShRCdkdO3YgVapUIiAoWLAgxowZA1uq5gKIgGPq1KlisXb+/PnFY/zxxx/hniciWm9B1aUoSNBQmtagQYOiXMuhLdqmilO0SNzYbHQ0n27iYtNKnJmmFy9k+ilVg6MeDw0awOr+3VSa+ocfVI+ImbuA4ACUXVgWZ56cwXdZv8POFjuRwIbPEUVm/dX1aLi6IVwdXHGn2x2kdEmpekjM3N24ARQrJj/Uvb2B/v1h7ehM/t27d5E1a1Y4hS3zSIuf6UuQqjVR/rM1NQy0pP0Yy+Nw/jZiRkHri+hzuHhxitphNajiXvfu+rUWn8tZM/bNBu0eJIKKZAmTYWn9pRxURKN+nvoolrYYPgR8wLjDxk8JYBaG1gx4eMgvs+++A/r1Uz0i05Y2rQwmaFG1ic9aMMPhbyQW7x4/liVmCRXQsLaTFr17AxTgX7wIrFmjejTMnO28vRMTjsqa54u+X4T0idOrHpJJo0WYI6uMFNszTs7Ak/fm1RGYmRhqfnfmjOyqvXQpEMs+B1aHyj7S2TVtrYXpJ8gwA+B3BYt3NFtM/XLKlQNq1YLVoe8gCi60ErvUT4mx2Hrx8QVabmgptjuW6Igf8nBeXUzUylFLdCP/FPQJ3oe8VQ+HmaudO6nDmdxetEhWPmIxm7WgAIxmeWiRJbN4HFiweEUpltoaJ+ojZG2zFZoePWSAcf26XOvHWGzQUrjWG1vj6YenyJcyHybU+LJTK4tm1uI7OWsx9/RcUZ6XsVihdQJUUpZ07MiL5WKDGjqlSqVPX+BZC4vHgQWLVxRMBAZSZ0t5sVaUCqWl4w4dKl8TxmJqxokZ2HJzCxxtHbGy0Uo428e+CZQ1o0XuVbJUEQvfRx6QQQZjMUIHwq1bA0+fAtRvQJu1YDGXOrWctfD1Bd6+VT0aFs84sGDx5tYt4I8/5LbWnNSadekiT9zcvat/XRj7mgvPLqDvzr5ie3z18SiUupDqIZklKstLFp1dhNuvb6seDjMX1KNiyxbA0RFYufKbOjtbi5CoqpPQrAUFF4RnLcxv/8WShbcoYyoNHw4EBwO1awPly6sejXrUFJSa5lFaFAVaNLMeoaIbY+H4BfrBY60H/IP9UTdnXXQp1UX1kMxW+UzlxXqLbbe2YfiB4VhSf4nqITFTd+ECdTWT2+PHU2tl1SMySdS/gTpVP378GClTphQ/UwpiOG5uwLNnAHWzptmfpElVDZdFkmpLDQBfvHgh9iPtv7jgPhYsXly5AlBjSvrrOnVKlpllchF7jhyyQMa0aUBX2eOMsUh12tIJs0/NRhrXNLjQ4QL3YYijU49PoeT8kqJE76WOl5A3ZV7VQ2KmitJ2SpaUX2Z16wL//GO9iwRjgA5Mnzx5Ijo+R4kWb1MqFDUW1BroMZPh7OwsmgRGFljE5jicAwsWL37+WZZWpZ4V69erHo1pmTNHrv+jmeE7d3hmnUVu47WNqL9KNn3Z0XwHqmevrnpIFqHBqgbYcG2D6My96sdVqofDTFWnTsDs2UCaNHLmQiubyqJEh5NBQUEIplSFyFBlqGrVgDdvgNGjgYYNjT1EFgXqDm5nZ/flTNNnHFgwpc6dA4oWlScjzp8HChZUPSLT67FETUjv3QPGjdPPtDOmeeTzCIXnFMYrv1foU7YPxtcYr3pIFuPis4vitdVBh3O/nUPhNIVVD4mZmo0b9Z1ct28HatRQPSLLMXEi0KcPkDmz7GIex7QbZhzceZspRb0aSOPGHFREhj5HtdeIOpJzQ1IWVnBIsOhXQUEFdY0eVXWU6iFZlIKpC4rZCuK17/MbkTEN5an++qvcpgZEHFQYFk3XU28LqkVP/UCYxeHAghnUiRPApk2yshyVVWWRa94cyJULePUKmDJF9WiYKZlwZAL23N0jSspSaVkHWz6jZ2hDKw8V6yw2Xt+IE49OqB4OMxWUwtOiBfD6NVCsmEzXYYZFub9UxYRQFRNazM0sCgcWzKCGDNEfOFO6D4scrV3TAi+aGaaUU8boIHfw3sFie3rt6ciVPJfqIVmkPCnyoEWhFmLbc6+n6uEwU0GVn/bulQe/VFqW03TiR7t2QMaMsvSs1kGXWQwOLJjBHDwI7NghD5q1VB8WNUoVo8pZVChj0iTVo2Gqvfd/j6ZrmyIoJEik6rQu0lr1kCyap7sn7BLYYfvt7Th0/5Dq4TBTmG7XzoxNny6nlFn8oJ4gnp8Dem9vuaibWQwOLJhBUAmAwfJEK9q0AbJlUz0i00fpYtTrg1A61IsXqkfEVOrybxfcfnMbmdwyYe7/5kZZnYMZRrak2fBrEZlLP3jPYFHRhlkpWujWtCkQFCRLGlKnbRa/WrUCsmcHnj+XTQiZxeDAghnE7t3AgQNy5njQINWjMR9UeIRSeT98kBWimHVacXEFlp5fKvL+lzdcjiROSVQPySoMrjRYrGHZ/99+sa6FWakuXYDbt4FMmWRqDgf18Y+6cYetYkJT98wicGDB4oxO9GkzyB06yNRJFjP0/UXr18jMmcCTJ6pHxIzt7pu76Lilo9geUmkIKmSqoHpIViOjW0Z0KN5BbA/ZO4RnLazRihXA0qVyCnn5ciAJB/VGQ7NEefLIRYZcxcRicGDB4mzrVuDYMSBhQmDAANWjMT+1awNly8riGJRuyqwHradouq4pfPx9UD5jeXEGnRnXgIoDkNAuIY4+PIp/b/2rejjMmO7eleVPCZ0dq8BBvVHZ2urzgWmhIVXjYmaPAwsWJyEh+tmKrl1lk1IW+1mLkSPlNs3C37+vekTMWIbtG4ZjD4/BzdFNpEDRYmJmXGlc06BLqS5im9daWBFaT9GsGXX+AsqX1y8SZMbVqBFQuLDcDxMmqB4NMwAOLFicrF8PnD0LuLpyB+m4+O47oHJl2ZVbCzKYZdt/bz9GHZTN7+b8bw4yJ8msekhWq1/5fnB1cMXZp2ex/tp61cNhxkBnyo8eBdzcZAoUlTNkaquYTJ0qF3Mzs8aBBYtTLyFt7VXPnkCKFKpHZN60tRZ//CHXETLL9drvNZqvbw4ddPilyC9oUqCJ6iFZtRTOKdCjdI/QvhbU/ZxZMKo0MmqUfpo4Mwf1StWrB5QsCfj6AmPGqB4NiyMOLNg3W7UKuHxZrnXr1Uv1aMwfpffWqiVn6LUTOMzyUKpNu3/a4aHPQ+RMllM0wmPq9S7XW1TjuvziMlZfXq16OCy+0EJhSoGiPF4qK0sNhZjp5APPmgU8eqR6RMzYgcXMmTORJUsWODk5oXTp0jhBjWWi8fbtW3Tu3Blp06aFo6MjcuXKha204peZLTr41TpHUwoUF9Iw7KzFsmXAtWuqR8Piw8KzC7Hu6jrYJ7DHikYrRAoOU4+Cij5l+4htr31eYmE9szC0foa6Pj98COTMCUybpnpETFO9OlCxIuDvD4werXo0zJiBxapVq9CrVy94eXnhzJkzKFy4MGrWrInnUeTFBQQEoHr16rh37x7+/vtvXL9+HfPnz0f69OnjMm6m2J9/AjdvyvSnbt1Uj8ZylCgB/PCDPJmmBW7Mclx7eQ3dt3UX26O+G4US6UqoHhILo1vpbkieMDluvr6JZReWqR4OM7SFC4G1a2UPhZUr5eJAZnq11+fPB+7dUz0iZqzAYtKkSWjXrh1at26NfPnyYc6cOXB2dsaiRYsivT1d//r1a2zYsAHly5cXMx3u7u4iIGHmiRYYa6k6/fvzZ7Ohaa8tpZqdP696NMxQ/IP84bHWA76BvqiWrZpIvWGmJZFjIvSv0F9sD9s/DAHBAaqHxAyFpoC7y6BerK8oXlz1iFhE7u5AtWpAYCDnA1tLYEGzD6dPn0Y12vHaAyRIIH4+StUVIrFp0yaULVtWpEKlTp0aBQoUwOjRoxFMK3+j4O/vDx8fn3AXZlonfehkApWW1UqAM8MpVEif9qstjmfmb+DugTj39JxYKLy0vuyyzUxPp5KdRAnae2/vYdHZyE+YMTND6TUeHnJxMB2/9Oag3mRpsxbUtJDSIpjZidU328uXL0VAQAFCWPTz06dPI73PnTt3RAoU3Y/WVQwZMgQTJ07EyGhqanp7e8PNzS30kpFbOZsMauKm7Toq++3srHpElonSoKgK38aNwKlTqkfD4mrbrW2YdGyS2F70/SKkTZRW9ZBYFJztnTGo4iCxPfLASHwK+qR6SCyuqHPruXMyd1frss1MU5kywP/+J8tODhumejTsG8T7uyskJASpUqXCvHnzULx4cTRu3BiDBg0SKVRRGTBgAN69exd6efDgQXwPk8UQVeZ7/BigWK9tW9WjsVx58gDNm8ttrQEhM0/PPjxDqw2txHaXkl1QL3c91UNiX9GuWDtkTJwRj94/wtxTc1UPh8XFtm3A5Mlym1K203JQb/K0NKgVK2TpSWa5gUWKFClga2uLZ8+ehbuefk4TRctlqgRFVaDofpq8efOKGQ5KrYoMVY5KnDhxuAtT78MHmk2S256etJ9Uj8iy0WtMPZvoe/HQIdWjYd8iRBeC1htb4/nH5yiQqgDGVR+nekgsBhztHDGkkozoRx8ajY8BH1UPiX0LOlZpJYN6dO4s+yUw01e0qOzITVW8OB/YsgMLBwcHMeuwe/fucDMS9DOto4gMLdi+deuWuJ3mxo0bIuCgx2PmY8YM2RQze3b9ZzWLP/Q6//qrPu2MPmOZeZl+fDr+vfUvnOycsLLRSiS0T6h6SCyGqHFhtqTZRFA448QM1cNhsUXHHL/8Ir+0ChQAxo9XPSIWG5QGRZWiqIrX2bOqR8PiMxWKSs1SudglS5bg6tWr6NixIz5+/CiqRJGWLVuKVCYN/Z6qQnXv3l0EFFu2bBGLt2kxNzMf794B4z6fbKUTCFStj8U/Cigo/t6/H9izR/VoWGycf3oe/Xb1E9sTa0wUMxbMfNjb2mOou6z5PO7IOPj4cxERszJ9upzudXKSpWUTclBvVvLnlwvutel7ZrmBBa2RmDBhAjw9PVGkSBGcO3cO27ZtC13Qff/+fTx58iT09rTwevv27Th58iQKFSqEbt26iSCjP9UpZWZjyhTZsJRy/5s2VT0a60FrWX77Tb/WgmctzAOVlG2ytokoV/p97u/RsQSXTzNHTQs2RZ4UefDa7zWmHJuiejgspmihdj8Z1GPiRDljwcwPncWkNPrNm4Fjx1SPhsWQjU5n+ocqVG6WqkPRQm5eb2F8r14B2bLRfgBWrwZ++kn1iKwLxemUFkUVubZsAerUUT0i9jUdNnfA3NNzkdY1LS50vCBKzDLztPryajT+uzESOybG3e53kSxhMtVDYtGhkrLUo4L6Vnz/PbBhg0ypYeapTRu56J7KBO/cqXo0VssnFsfhXHONfdWECTKooJ6GtJ6KGRcVMenSRW7zWgvTt+7qOhFU2MAGfzb4k4MKM/djvh9RKHUhkQo14cgE1cNhX9Ozpwwq6IOTmi5xUGHeaKqecq937ZI5wczkcWDBvlpUY9o0fQU4Lv+tBs3qU4dzWsO2fr3q0bCoPPR5iLabZB3mfuX7oWq2qqqHxOKIGhmOqCKbdk09PlUs5mYmat06YN48GUz8+afsW8HMW5Ys+tr2nA9sFvgwkUVrzBg5s1yyJFfqU4m+H3v00K9ji6ZxPVMkOCQYLda3wJtPb1AiXQkMr/K5Fjsze/Vy1UPJdCXF2pkxh8aoHg6LzMOH+gNQOhNTlYN6izFokKxvf/Agp0OZAQ4sWJQePQJmz5bb1G2bZ5TV6t0bSJJE9guitS7MtIw9PBb77u2Di70LVjRcAQdbLqdtKWxsbDDyu5Fie/ap2Xjk80j1kFhYdKaFOopShZESJfQN1phlSJ8e6NRJbnM+sMnjwIJFadQowN8fqFABqF5d9WgYBRUUXGjFMoKCVI+IaY4/PA7PvbIk4sw6M5EzeU7VQ2IGVj1bdVTIVAGfgj5h1MFRqofDwho7Vubfu7jI0rLcI8vyUCVRZ2fg5Engn39Uj4ZFgwMLFqm7d4EFC+T2iBE8W2EquneXaVE3b8oUYqYeLer1WOuBYF0wmhRogpaFW6oeEouvWYsqctZiwZkFuPf2nuohMUJlSLU+BzNnAjlyqB4Riw+pUgHduslt2t9hmi4z08KBBYsUBROBgbLCW+XKqkfDNIkSAb//rm9MGhCgekSs89bOuPv2LrIkyYI5deeIA1BmmdyzuKNatmoIDAnEiP1yQTdTiMoVUmMlSoWiZmotOai3aH37AlTq9Px52ZGbmSQOLNgXbtwAli7VBxjMtFCqaZo0wH//yfLeTJ1lF5aJi62NLZY3XA43JzfVQ2LxTKsQteT8Etx8dVP1cKxb585yep0qB9GCQA7qLVuyZECvXvp8YK5iYpI4sGBfoDPh9H6tWxcoU0b1aFhElGY6cKDcpsCPGucx47v9+jY6bZELCr3cvVAuYznVQ2JGUCZDGdTNWVekvg3bP0z1cKzXsmXyQp2Zly8H3DiotwpUHjFpUuDqVbmehpkcDixYOJcu6d+rXFjDdLVvD2TMCDx+DMydq3o01icwOBBN1zXF+4D3qJipIgZW/BzpMauglRJecXEFLj+/rHo41uf2bX2VIDpzXY6DeqtBASSVEyZDh8qcbWZSOLBg4dD7lCq5UYftYsVUj4ZFhUp6U68g4u0NfPyoekTWZei+oTjx6ASSOCXBsobLYJvAVvWQmBEVS1sMjfI2gg46eO3zUj0c60IHks2aAe/fAxUr6qdvmfXo2lUu5qYAc8kS1aNhEXBgwUKdOSPXQ1GaKqVDMdP2yy9AtmzA8+fAjBmqR2M99t7dC+9D3mJ7fr35yOSWSfWQmALDKg+DDWyw9upanH1yVvVwrOvs1/Hjsv62lgrFrAuVFR4wQJ9aQXXxmcngwIKF0ir2UZGN/PlVj4Z9jb29/I4l48bJAiksfr3yfSW6a9OZ6jZF2+DHfD+qHhJTJH+q/PAo6CG2Pfd9/vBk8WvfPjlFS+bPBzJxUG+1OnSQjfMePNDXxmcmgQMLFloKfMsWefKHUlaZeaAgME8e4PVrYMoU1aOxbDqdDu3+aYdH7x8hV/JcmFprquohMcVo0T5VBNt8YzOOPTymejiWjT7kqLs25eq2aQP8yEG9VXNyAgYNktsjRwK+vqpHxD7jwIIJWr5+q1ZATm4abDYoENTS1iZOlN+9LH7MOz0P66+th30Ce6xstBIuDi6qh8QUowBTa4g4ZO/nD1FmeBRMtG0LPHoE5MoFTOWgnkEGmJkzA0+fynLDzCRwYMGwfz+wa5dMrdECDGY+6MRdoUIyFWrCBNWjsUxXXlxBz+09xbZ3VW+xeJcx4unuKYLNXXd2Yf+9/aqHY5nmzQPWr5dfUlS2kHLsGXNw0KdYjBkjF/Qz5TiwsHJ0IkgLJtq1k32GmHlJkEDfyHDaNLmYmxnOp6BP8FjrAb8gP9TIXgM9y8oAgzFCHdfbFmsbOmtBKXPMgK5cAXp+fs/R+gouV8jCatFCplm8fAlMn656NIwDC7ZzJ3DwoCxfylX7zFe9ekDJkrLsLJ24YYbTf1d/XHh2ASmdU2JJ/SVIYMMfmyy8QRUHwdHWEQfvH8SO2ztUD8dyfPokF5JRF9AaNfQBBmMaOzt9FZPx44G3b1WPyOrxN6QVoxNrgwfL7Y4dZYEFZp6oRLA2a0GpppSKzOJu682tmHpc5nMvrr8YaVzTqB4SM0HpE6dHxxIdxTbPWhhQ//7A+fNAypSyXwFNzzIWUePGspQlBRWTJqkejdXjd6kV++cf4ORJwNlZXxKamS86oVehgjzJN3q06tGYv6cfnuKXDb+I7W6luqFOzjqqh8RMWP8K/eFs74yTj0/inxv/qB6O+du6Vb9Ie/FiIA0H9SyaKibUz4JMnizTopgyHFhYqZAQfd+Kbt1kE0tmObMWVOL9v/9Uj8h8hehC0GpDK7zwfYFCqQthbPWxqofETFxq19QiACWeez3F3xD7RlTlhzqAal9QdTioZ1/RoAFQtCjw4YNMiWLKcGBhpajDNs0wJ04M9O2rejTMUCpXBqpWBQID9UEGi70px6aIXPmEdglFaVknOyfVQ2JmoE+5PkjkkAjnn53H2itrVQ/HfM96Ud3zFy9kubuxHNSzWJ5Zo0XcFJwyJTiwsELBwfrZil69gGTJVI+IGZL22UrZAzdvqh6N+Tn75KxYsE0m15yMfCnzqR4SMxPJnZOjV9leYttrnxeCQ4JVD8n8UKfPHTuAhAllaVlqhMZYTNDMVpkycrG/1qGdGR0HFlZoxQrg2jUgaVKgRw/Vo2GGVras/HylAFJrnsdi5mPAR1FaNjAkEPXz1Ef74u1VD4mZmZ5leiKpU1JcfXkVKy+tVD0c83L2rFywreXK5+Ognn3jrMWcOcCDB6pHZJU4sLAylCKjHWz26we4uakeEYsP2jo2CiKpDDyLmR7beuD6q+tIlygdFtRbABv6omIsFtyc3NCvfD+xPXTfUAQGB6oeknmgWtkeHvJLqn59oD0H9ewbUC6wuzsQEACMGqV6NFaJAwsrQxX7bt+Wi7W7dlU9GhZfihcHGjaUJYW1xqQsen9f+RsLzi6ADWywrMEykdbC2LfoUqqL6Hty+81tLDm/RPVwzANNn1+/LuueL1ggzz4zFpdZi4ULgTt3VI/I6nBgYUX8/fVnsmm22cVF9YhYfKKZKfqM/ftvmWHAonb/3X20+6ddaNnQKlmrqB4SM2OuDq4YUEHW8B5xYAT8g/xVD8m00YeUFkz8+SeQnIN6FgcVK8r660FB+oMeZjQcWFgRKkFKKYfp0gEdOqgeDYtvBQoATZrIbW2xPvsSLbBtvq453n56i1LpS2FYZV6YwuKuQ4kOIqWOgtYFZxaoHo7pun8faNdOf8arCgf1zAC0WQsKVGlRKTMaDiyshK+vPt2Qum1TwQ1m+YYOlc1qN28Gjh9XPRrTNPrgaBy8f1CcZV7RcAXsbe1VD4lZgIT2CTG44mCxPergKPgF+qkekumhChPNm8uOyaVKcbUJZjj09/T997J8Mf9dGRUHFlZi9mxZ1jlzZqBNG9WjYcaSK5csCU+GDFE9GtNz5MERDNsvv3Rm1ZmF7Mmyqx4SsyBtirVBZrfMePLhCWafmq16OKZn9Gjg4EHA1VVWmrDnoJ4ZkJYG9ddfwIULqkdjNTiwsALv3wNjxuhTYhwcVI+IGRMFFHZ2wM6dwP79qkdjOt59eodm65ohWBeMZgWboUXhFqqHxCyMg60DPN1lHqL3IW98CPigekim48gR/ZnkWbOA7BzUMwMrXBj46Se5zfnARsOBhRWYNg14+RLIkQNo2VL1aJixZc0KtG2rDzKoUpS10+l06LClA+69vYesSbJiVt1ZqofELFTLwi2RM1lOvPR9iWnHp6kejml49w5o1kymQjVtKtOhGIsPFLxSPvDGjcCpU6pHYxW+KbCYOXMmsmTJAicnJ5QuXRonTpyI0f3++usvURe+PtWoZkZBqasTJujfX3TmmlmfQYMAR0eZdbBrl+rRqLf0/FL8dekv2NrYYkWjFUjsmFj1kJiFsktgh6GVh4rt8UfGiyIBVo3ObHTsCNy7J8960GwFl5Zl8SVvXhnEEp61MM3AYtWqVejVqxe8vLxw5swZFC5cGDVr1sTz58+jvd+9e/fQp08fVKQyYMxoJk2SwQU1MG3cWPVomCoZMugrgdHifWuetbj1+hY6b+0stumAr0yGMqqHxCxc4/yNkS9lPhFUTD46GVaNqvSsXAnY2gLLl3OXVhb/KKCgv7d//wUOH1Y9GosX68Bi0qRJaNeuHVq3bo18+fJhzpw5cHZ2xqJFi6K8T3BwMJo1a4Zhw4YhW7ZscR0ziyFKf5o8Wb+Gid5XzHpRJUdnZ4AmGKlKlDUKCA6Ax1oPfAz8CPfM7qG9BhiLT7YJbDG8slxIOvnYZJEWZZVu3QI6d9aXrCtbVvWImDWgPPDWreU2VzExrcAiICAAp0+fRrVq1fQPkCCB+Pno0aNR3m/48OFIlSoV2nA5IqMaPx748AEoWhRo0ED1aJhqadLou63TCRyqwmdtPPd64tTjU0jqlBR/NvhTHPAxZgwN8jZA0TRF8T7gPcYfHg+rExAAeHjIL6VKlYABHNQzI6KAgirX7N0L7NmjejQWLVaBxcuXL8XsQ+rUqcNdTz8/pVqmkTh06BAWLlyI+dSdLYb8/f3h4+MT7sJih3bH9On6PjG0domxvn2BRImAc+eAdetgVXbf2Y1xh8eJ7fn15iOjW0bVQ2JWJIFNAgyvImctpp+YjqcfIv/OtFh0NoMWzyZNCixbxlPozLgyZQLat5fbXMUkXsXr4eb79+/RokULEVSkSJEixvfz9vaGm5tb6CVjRj4AiC1vb8DPDyhdGqhTR/VomKlInhzo2VP/PU9FWawBpZ60WN8COujQrlg7NMrXSPWQmBWqm7MuSqcvDb8gP4w59LkGuDXYvRsYJ4N60ElG/k5nKgwcCDg5yVLH27apHo3FilVgQcGBra0tnj17Fu56+jkN5VlEcPv2bbFou169erCzsxOXpUuXYtOmTWKbfh+ZAQMG4N27d6GXBw8exPbfZdXo5ZozR26PHMkFN1h4FFjQScOrV2XfIGsoLdtmUxvRpCxPijyYXNPKF88yZagq4sjvRoptapj34N0D61js16KFPEPcrh3QiIN6pkjatPo1PjxrYRqBhYODA4oXL47ddPbhs5CQEPFz2UgWYeXJkwcXL17EuXPnQi/ff/89qlSpIrajmolwdHRE4sSJw11YzI0aJdNZ3d2BqlVVj4aZmiRJZEqUtn4yMBAWbc6pOdh0fZNoVray0Uq4OLioHhKzYlWzVkWlzJVEIYFRB0fBotGBG62tfPKEDgj01UQYU+X33wEXF+D0adnbgqlPhaJSs5TatGTJEly9ehUdO3bEx48fRZUo0rJlSzHjQKjPRYECBcJdkiRJgkSJEoltClSYYd25AyxcqF9bwbMVLDK0iDtlSlmkZelSWKxLzy+h145eYntstbEokqaI6iExK0ezFiOqjBDbC88uxJ03d2CxZs8GNm2Si2apxCwd0DGmEn3x9eihn7WwxiomphZYNG7cGBMmTICnpyeKFCkiZh62bdsWuqD7/v37eEJnJ5gSVFY2KAioUQPgliEsKq6usvys9jfj7w+L4xfoJ0rLfgr6hFo5aqFb6W6qh8SYQDMWNbLXQFBIEEYckEGGxbl0CejdW26PHQsU4aCemQj6u6T+KfQ3unq16tFYHBsdJSCbOKoKRYu4ab0Fp0VF7fp12QiPAvDjx4FSpVSPiJkyWtyfPbvMUpg5E+jUCRal69aumHFyBlK5pMKFDheQ2jV8NTvGVDrx6ARKLygtqkVd6XQFuVPkhsX49El+AV28CNSqBWzZwqUJmWmhlA6qYJI7twww7OxUj8hijsP5nW5BKF+egorvv+eggn1dwoSyC7e2yJ8CDUux+cZmEVSQxT8s5qCCmZxS6UuhXq56CNGFYOj+obAotIiLgopUqYDFizmoYKane3dZJpHOyFIHeGYw/G63EPQZvmqVPrWFsZigdZWZM8tZC0qHtgRP3j9B641yzVeP0j1QO2dt1UNiLFJaX4u/Lv2Fi88uwiJs3gzMkEE9liyhRleqR8TYl+isOy3kJsOGWX4VEyPiwMJCeHnJAhw//QQULqx6NMxcODrK9WtkzBjZFNec0dnflhtair4VhVMXxphqVtQrgJkdKibwU76fxLbXPi+YPTpD8bmQi1ggS2lQjJkqKj1Lge/du8Aff6gejcXgwMICUNW09evlbDMF3ozFRsuWQI4cwIsX+m7t5mrS0UnYdWcXEtolFKVlHe0cVQ+JsWgNrTwUNrDB+mvrcfrxaZgtysOlDxPqW0Fnt+hMBWOmzNlZNs3T1lzQ2iAWZxxYWADtjHOzZkDevKpHw8yNvb1cn0OoOe7btzBLdFA2cLf8kphaayrypuQ3AzN9+VLmQ7NCzcT2kL2fP8zN0aRJwK5dcvEWlZal6VDGTF379kCGDMDDh8C8eapHYxE4sDBzhw8D//4L2NrKdCjGvkWTJrKiGAUV5tjD6kPAB1FaNjAkEA3zNkTbYm1VD4mxGPNy94KtjS3+vfUvjjw4ArOcNtfO/E6dyme4mPlwctKfnR09Gvj4UfWIzB4HFmZOez9QWiuVDmXsW1BgqqXRUWDx6hXMSrd/u+Hm65vIkDgD5tebL5qQMWYuciTLgdZFWpvnrAUtzPLwkItfGzYE2nJQz8wMHUBlzQo8eyZrr7M44cDCjO3ZA+zdK5uaagEGY9+Kjgmoh9X798D48TAbqy6twh/n/hB56ssaLEOyhMlUD4mxWBtcaTDsE9hjz9094mJWZTtv3pTpJPPnU2tx1SNiLPb5wFrKB+UD+/ioHpFZ48DCTFEFKC2YoBTBTJlUj4iZO1r8T+vXyLRpwNOnMHn/vf0Pv23+TWwPqjgI7lncVQ+JsW+SOUlmtC/ePnTWwgx618quxYsWyWBi2TIgGQf1zEzRIlVqlkfT9ZTOx74ZBxZmats24MgRmR6opbYyFld16wKlS8tmeaZe1CUoJAjN1jXDO/93KJOhDDzdPVUPibE4GVhxIJzsnMQ6i+23t8Ok/fefPKtF6EvInYN6Zsao87ZWxWTCBOD1a9UjMlscWJj5bAWVYU6bVvWImKWgE4/arAU1zHvwACZr5IGROPzgMBI5JMLyhsthb2uvekiMxUm6ROnQuWRnsT14z2DTnbUICpJneN+9A8qU4cohzDL8/DNQoIBMhZo4UfVozBYHFmZo40ZZhMPFRd84kjFDqVYNqFQJCAgARo2CSTp0/xBGHJAR0Jz/zUG2pNlUD4kxg/i9/O9wsXfB6SensfH6Rpgk+mCgkoSJEgHLl8scdcYsKR+Y0qGouROLNQ4szLAHkTZbQY1NU6ZUPSJmybMWCxfKpqSm5O2ntyIFirpstyjUAk0LNlU9JMYMJqVLSnQv3V1se+71FH/nJuXQIWD4cP20ZjYO6pkF+eEHoHhxWXZ27FjVozFLHFiYGVord+kS4OYG9O6tejTMUtGMRfXqMuNBO4YwBZQaQou177+7L2YpZtbh0oDM8vQp1wdujm64+Pwi1lxeA5NBjW4oBYrOcLVoIbcZs9Qza1R69vFj1SMyOxxYmBE6yNNSWSmoSJpU9YiYJdM+W5cuBa5fh0lYfG4xVl9eDbsEdljZaCUSOSZSPSTGDC5pwqToXVaeOfLc5ykKFShH6z1++w24f1/OUsyYoXpEjMWPWrWAcuWAT59MNx/YhHFgYUaomt+NG0Dy5LJ0OGPxiapD1asnT05qxTJUuvHqBrr+21VsD688HKXSl1I9JMbiTY8yPZA8YXLxd7/8wnLVwwEWL5ZT5lQ9Z+VKIHFi1SNiLP5mLUaOlNvUm4UqoLEY48DCTNBCWi0lhRZs82c6Mwbtb27VKuDiRXXjCAgOQNO1TfEx8COqZKmCfuX7qRsMY0ZAs3Ha3/mw/cMQGByobjB0RqtrV/2HQikO6pmFq1IF+O472VFeCzJYjHBgYSb++EMuok2dWpaYZcwYqBP3jz/KLAiVFSWp9CZVyaGu2ksbLIVtAlt1g2HMSKj0bGqX1Lj79q7oLq/srJaHh1zMSgdb/TioZ1aWD0wHYLduqR6N2eDAwgxQmp/29019iJydVY+IWZNhw+TM8Pr1ssyxse28vRPjj4wX2wu/X4gMiTMYfxCMKeDi4CKa5hEqr/wp6JPxBzFoEHDmjOyq/eefgC0H9cxK0DqL2rWB4GD5RchihAMLMzBvHvDoEZAhg77RKWPGki+fvviLp5GbW7/4+AItN7QU278V/w3189Q37gAYU6x98fYimH7o8xDzTs8z7pPv3Cm7EGu1p9OnN+7zM6aadlaX+rVcuaJ6NGaBAwsTR7PPo0fLbepf4eSkekTMGlEaFJ2o3LoVOHLEeKVlW29sjacfniJfynyYVHOScZ6YMRPiZOeEwRUHi+3RB0fDN9DXOE9MzcFayqAeHToA9TmoZ1aIelo0aCDzgU2hiokZ4MDCxFEZ5WfPgKxZgdatVY+GWascOYBffpHbWoPG+Dbz5ExsubkFjraOorSssz3nADLr1Lpoa2RNkhXPPj7DzBNG6N1CB1H0hfP0qZyynDgx/p+TMVPPB16zBjh3TvVoTB4HFibMxwcYN05/xtjeXvWImDWjgIL+BvfsAfbujd/nuvDsAvrs6CO2x1Ufh0KpC8XvEzJmwhxsHeDlLqsnjD08Fj7+PvF/RmvLFsDRUZaW5YV9zJoVLAg0biy3VVYxMRMcWJiwqVOBV6+A3Lm5wSlTL3Nm/RofCjLopGZ88Av0g8daD/gH+6NOzjroWupzmUvGrFizQs2QK3kuvPJ7hanHpsbfE1Fd6T4yqBdntgpxUM+YSINKkADYtAk4cUL1aEwaBxYm6s0b/ewzzcJRTyLGVKOqZLTO5/BhYPv2+HmO3jt648qLK6LM5h8//AEbmoJmzMpRt/lhlWVlmolHJ+KN3xvDP4mfnywt6+8P1Kmj713BmLWjM7zamiNj5QObKQ4sTBQFFe/eyRm4n35SPRrGpHTpgE6d4m/WYuO1jZh9arbYpn4VqVxSGfYJGDNjP+f/GQVSFcA7/3ciuDA4mqm4fFk2TKLa/RzUM6ZHZRHpLO+OHcDBg6pHY7I4sDBBVIxjyhR9k1OafWPMVFDndxcX4NQpOStsKI98HuHXTb+K7d5le6NG9hqGe3DGLEACmwQYXnm42J5ybIoox2wwGzcCs2bJ7aVLgVQc1DMWDlXRadNGbg8eHH/5wGaOD1lN0NixsswsVTn74QfVo2EsPDre6N5dP2sREhL3xwwOCRb9Kl77vUaxtMUwuurnGsuMsXColwu9Rz4GfhQLuQ2CGiVpB0y9ewM1OKhnLFIUUFBRgwMHgN27VY/GJHFgYWKePJEFObS+LDwTzUwRZUy4ucl1nn//HffHm3BkAvbc3SNKyq5ouEJUwWGMfYnWHI2sMjK0JPOT90/i9oB0ZoByx6lSSNGiwKhRhhkoY5aIOhVTX5f4rmJixjiwMDHUDO/TJ9lJvlYt1aNhLHJJkwK9eunTToOCvv2xTjw6gcF7ZQOw6bWnI3eK3AYaJWOWqVaOWiiboSw+BX0STfPiZPx4WUOaSspSaVk6G8sYi1r//kDChMCxY7JrLAuHAwsT8t9/wNy5cnvkSJ6tYKatRw8gWTLg+nVgxYpve4z3/u/RdG1TBIUE4ad8P6F1Ee4CyViMZi2+k7MW887Mw/1397/tgU6elKkdZNo0WfmGMRa9NGn0FdMMlQ9sQTiwMCEUTAQGAt99B1Spono0jEUvcWK5kFsr8U1/u7HV9d+uuP3mNjK5ZcLc/83l0rKMxdB3Wb9DlSxVEBAcgJEHZJARK+/fy9KyNN1IpQd/lYUTGGMx0K8fkCgRcPYssH696tGYFA4sTMStW7K6n7a2gjFz0LmzrEx5967+7zemVl5ciSXnl4hKN8saLEPShEnja5iMWaQRVeSXxaKzi3Dr9a3Y3ZnOuN6+DWTKJKfKOahnLOaSJ5fT9lo+cHCw6hGZd2Axc+ZMZMmSBU5OTihdujRORNOFcP78+ahYsSKSJk0qLtWqVYv29taKysrS32Xt2nJ9BWPmgMrODhigD4hpfVBM3H1zFx22yAVwgysORsXMFeNxlIxZpvKZyov1FsG6YAzfL8vQxgitpViyRNYyX7ZMLppijMUOLTRMkgS4cgVYtUr1aMw3sFi1ahV69eoFLy8vnDlzBoULF0bNmjXx/PnzSG+/b98+eHh4YO/evTh69CgyZsyIGjVq4BGVt2MC/U3SZzvh2Qpmbn77DUifHnj4kE4kfP32tJ6i2bpm8PH3QbmM5TDEnbuYMhbXWYtlF5bh6ourX78DTS9qVW1ofUVFDuoZ+yYUVPTtK7e9vOJWxcSC2Oh0sauVRTMUJUuWxIwZM8TPISEhIljo2rUr+tNK+a8IDg4WMxd0/5Zae/Sv8PHxgZubG969e4fElNhtYX7+GVizBmjQAFi3TvVoGIs9yqSgYxVKi7pzRxaYiYrnXk+MODACiR0T43yH88iSJIsxh8qYxWmwqgE2XNsgOnOv+jGaM6d04FOpEnD0qJwa379fdhJmjH2bDx9k47yXL4GFCy12rVJsjsNjNWMREBCA06dPi3Sm0AdIkED8TLMRMeHr64vAwEAko3IyUfD39xf/iLAXS3XunAwqKL112DDVo2Hs27RuLT9bnz3T92GJzIH/DmDUQVknnxZrc1DBWNxRN24b2GD15dU4//R8NDccLoMKakKzfDkHFYzFlaurLD+rvb8CAmDtYhVYvHz5Usw4pKbTkmHQz0+fPo3RY/z+++9Ily5duOAkIm9vbxEZaReaEbFUNHtGGjcGChZUPRrGvo2Dg1y/pnWOp4IzEb3xe4Pm65ojRBeCVoVboUmBJkYfJ2OWqGDqgmK2gnju+/xGjIg6BWvN7+bMAbJwUM+YQXTsCKRNK3sGLFwIa2fUqlBjxozBX3/9hfXr14uF31EZMGCAmG7RLg8ePIAlojXsmzbJ9XNUrpMxc9a8OZArl2zgO3Vq+N9RxmX7ze3xwOcBciTLIRrhMcYMZ2jloaLC2qbrm3Dy0cnwv3zzBmjWTNbb/+UXoAkH9YwZDOX+Dhyo7xvg5wdrFqvAIkWKFLC1tcUzyncIg35OQw1DojFhwgQRWOzYsQOFChWK9raOjo4ihyvsxRJRXxVCS024LxEzd5RVoaXzTZggj2U0C88uxN9X/oZdAjusaLgCiRwTKRsnY5YoT4o8aFGohdgesjdMQQRaRtm+vayukCOHbITHGDOsdu0Ayq55/FjOCFqxWAUWDg4OKF68OHbv3h16HS3epp/Lli0b5f3GjRuHESNGYNu2bShRokTcRmwhDh4EduyQB2NaCgljllCIoEAB4N07YOJEed21l9fQfVt3sT3qu1Eomb6k2kEyZqE83T1F8L799nYc/O+gvJJSM/7+W37ZUJlZaurFGDMsR0f9wZy3t1zUbaVinQpFpWapN8WSJUtw9epVdOzYER8/fkRrWr0pzr63FKlMmrFjx2LIkCFYtGiR6H1BazHo8sGKX3Q6gURV/kibNnLRK2OWgNL6aP0aoXSoh0/94bHWA76BvqiatSr6lOujeoiMWaxsSbOhTdE2obMWuqtXge4yqBfrK/jEHmPxp1UrIHt24MULYLr1pvvGutwsoVKx48ePFwFCkSJFMG3aNFGGllSuXFkEEIsXLxY/0/Z/tKAlAuqDMTSGCwssrdzsrl1A9eoywKWO2xkyqB4RY4ZDnyh0/HLmDFB8YG+cdpiE5AmT40LHC0iXKJ3q4TFm0R68e4Ac03MA/gF4uS47El25DVStKqfIKfJnjMWfP/+U+e3UdJJ6xlAFNgsQm+PwbwosjM2SAgt6tSlr7PhxeSJpyhTVI2LM8P79F6jTbRvQvLb4eVOTTaiXu57qYTFmFbr/2x2ZRkxD76OALnly2Fy4AKTjoJ6xeBccLPOBr12TVXm00p9mLt76WLC427pVBhVURCAG/QQZM0tFKzyD/U+txHbBT505qGDMiLz8y4iggpwa2YmDCsaMxdZWnw88aZIsk2hlOLAwIqr0p1WC6tIF+EohLcbMEvWp+HVTawQ6PgeeFcC1aeNx/77qUTFmJZ4/R7IOPcXmjJLAbzabRblnxpiRNGoEUPVTau5MJRKtDAcWRrR+PXD2rCzK0a+f6tEwFj+mH5+Of2/9C0dbR5S8vxKBvglFaW/GWDyjAIIKqTx7hqB8eTH8f644+/Qs1l9br3pkjFmPBAmAESPkNpV3jtCiwdJxYGHEtDutElnPnkDy5KpHxJjhnX96Hv12yah5Yo2JmDyggNhetAi4fVvx4BizdHQQQ/m2Tk6wW7UaHSrKmQvPvZ4IDglWPTrGrEe9ekDJkoCvL5VHhTXhwMJIVq0CrlyRhQIosGDM0lBJ2SZrmyAgOAD1ctVDp5KdUL48ULu2DKy1tFPGWDw4f14/FU5NZAoUQK+yvZDEKQkuv7iMVZdXqR4hY9bDxkZ24SazZgGPHsFacGBhBEFB+sIAffoASZKoHhFjhtdrey/RDC+ta1os+mERbOiDFfqAYtkygMrqM8YMjM6KNmkCBATIM6UdO4qrKajoW66v2Pba54WgkCDFA2XMilSvDlSoAPj7yz4yVoIDCyNYulT2q0iRAujWTfVoGDO8dVfXYe7pubCBDf5s8CdSOKcI/R31tKhfXxYviGHrGsZYbPTqJctbpk0r8w4/B/WkW+lu4v146/UtLD2/VOkwGbPaWYsFC4B792ANOLCIZ3QCSTtjSw3JXV1Vj4gxw3ro8xBtN7UV23R2tGq2ql/cht4D9Bm7erXM2GCMGci6dcDcufINRs256AxWGK4OruhfXtY2H75/uEhVZIwZibs7UK0aEBioX9Bt4TiwiGcLFwLUeJxOJH2enWbMYtCC0BbrW+DNpzcoka4ERnwX+QdnwYLAzz/LbQvpF8SYeg8fAm1lUI++fWWH7Uh0LNlRpCj+9+4/LDyz0LhjZMzajfj8vbhkCXDjBiwdBxbxyM9PPws2aBCQMKHqETFmWGMPj8W+e/vgYu+CFQ1XwMHWIcrbUhoUVeHbuBE4edKow2TM8lBFhObNgTdvZL5hNGdDne2dMajiILE98uBI+AX6GXGgjFm5MmWAunXle3bYMFg6Dizi0Zw5wOPHQKZM+pNKjFmK4w+PizKWZGadmciZPGe0t8+TB2jRQm5rjSIZY9+ISlju3w+4uAArVgAOUQf1pG2xtsjklgmP3z/GnFNzjDZMxhj0OfErVwKXLsGScWARTz58AMaMkdvUv8LRUfWIGDMcH38fNF3XFMG6YDQp0AQtC7eM0f3ovWBnB2zfDhw6FO/DZMwyHT+ub4w0YwaQM/qgnjjaOcKzkrzPmMNj8CHgQ3yPkjGmKVZMduSmJpYWXsWEA4t4Qp/1z58D2bMDLWN2zMWY2ei8tTPuvLmDzG6ZMafunNDSsl+TLRvw669ye/Bg+RnLGIsFHx/Aw0OmVTRuDLRqFeO70gmA7Emz4/nH55hxYka8DpMxFgGlQdF35dq1wJkzsFQcWMSDd++AcePkNgWm9vaqR8SY4Sy7sExcEtgkwIpGK+Dm5Bar+1NAQVkblMWxZ0+8DZMxy9S5M3D3LpA5s8y3jWFQT+xt7TG0sjxbOu7wOLz79C4eB8oYCyd/fnlSgGgzjhaIA4t4MHmyXE+XN6/+b4gxS0CzFJ22dBLbXu5eKJexXKwfI2NGoEMHuc2zFozFAnWZpAtVQaB1Fd/QbdWjgAfypsgrKrlNOTYlXobJGIsClUW0tQW2bAGOHoUl4sDCwF69koGFtlaH/n4YswSBwYFourYp3ge8R8VMFUOrzHwL6ulCVdKOHQO2bjXoMBmzTLdvA5066Q9OysU+qCe2CWwxrLKsTDPp2CS88n1lyFEyxqKTK5c+fdFCZy04sDCwCRNkCmzhwkDDhqpHw5jhDN03FMcfHUcSpyRY1nCZOED5VmnSAF266CtE8awFY9Gg5lrNmgHv3wMVK8r65XHQKF8jFE5dWBRhmHBkgsGGyRiLAfrSoxz5XbuAfftgaTiwMKBnz4Bp0+Q2lRSn2WrGLAH1qvA+5C2259ebL8pWxlW/frIT/dmzwPr1BhgkY5aKFutRJShKfaJUqDhOhdP6qBFVZN+LaSemicXcjDEjyZJF34PAAs+s8aGvAVF5WV9foFQp4H//Uz0axgyDUiWar2sOHXRoU7QNfsz3o0EeN0UKoGdP/YwwFblhjEVAZzS9ZVCP+fNlYyQD+F+u/6FU+lLwDfTFmEOfa6Mzxoxj0CDZh4Dqru/cCUvCgYWBPHwIzJ4tt6nbdiwKdTBmsnQ6Hdr90w6P3j9CruS5MLXWVIM+fq9e8iTs5cvAqlUGfWjGzN/r17K7Np3RbNMG+NEwQT2hEtHarMWsk7PwyOeRwR6bMfYV6dPr10xZWBUTDiwMZPRowN9fpr9Wq6Z6NIwZxrzT87D+2nrYJ7DHykYr4eLgYtDHp6CiTx99tkdQkEEfnjHzRQca7doBjx7JBZ9TDRvUk+rZqotCDP7B/hh9cLTBH58xFo3+/QFnZ+DkSeCff2ApOLAwACopvmCB3ObZCmYprry4gp7bZa6Sd1VvFEtbLF6ep1s3mRZ18ybw55/x8hSMmR9Ke1q3Ti7yXLkScDFsUB9x1mL+mfm49/aewZ+DMRaFVKnkF6C21iIkBJaAAwsDoIXaVLSjenWgUiXVo2Es7j4FfYLHWg/4BfmJs5o9y35eDBEPEiWSJ260xqQBAfH2VIyZhytXgB495DatrygWP0E9cc/ijmrZqiEwJBDD9w+Pt+dhjEWib18gcWLgwgXZkdsCcGARRzduAEuW6AMMxixB/139ceHZBaR0TomlDZaKKjLxqWNHWYL2v/+AhQvj9akYM22fPgFNmwJ+fkCNGvoKB/FIm7VYen4pbr66Ge/Pxxj7LFkyudjQgqqYcGARR3SGlWavqApU6dKqR8NY3G29uRVTj8t87j9++ANpXNPE+3NSmqlWmp/SCemYijGrRNN3588DKVPKs1ZGqFteJkMZ1M1ZF8G6YAzbL5vnMcaMpEcPIGlS4No1YMUK1aOJMw4s4uDSJZn6qnXZZszcPf3wFL9s+EVsdyvVDXVz1TXac9M61YwZgcePgblzjfa0jJkOakOvLdJevFhO4xnJ8CryS2zFxRW4/Pyy0Z6XMavn5iYbO2lnqym33oxxYBEHXl6ycAdVACxaVPVoGIubEF0IWm1ohRe+L1AodSGMrT7WqM9PJb1p/ZqWVv7xo1GfnjH1HVZbt5bbtKCzTh2jPj0VZ2iUt5HoV+O1z8uoz82Y1evaVS7mvn1bn19vpjiw+EZnzsiCHVQBispkMmbuphybgh23d8DJzkmUlqX/G9svvwDZsgHPnwMzZhj96RlTg/JpW7WSf/iFCgFjjRvUa4ZVHgYb2GDt1bU4++SskjEwZpVcXIABA/QpMNS/wExxYPGNaI0NoTV2+fOrHg1jcUMHEbRgm0yuORn5UuZTMg6qrKkF6nRs9e6dkmEwZlyU/rR9O+DkJPNr6f8K5E+VHx4FPcS2577PX3KMMePo0AFIlw548ECWmzZTHFh8g6NHgS1bAFtbmQ7FmDn7GPBRlJalcpP189THb8V/UzoeCtbz5AHevAGmTFE6FMbi39mzwO+/y+3Jk4F8aoJ6jZe7F2xtbLH5xmYce3hM6VgYsypOTrILNxk1CvD1hTniwCIOsxWUtpEzp+rRMBa3oKLpuqa4/uo60idKjwX1FoimWSpRwE7r18ikScDr10qHw1j81iunRXq0WLN+feA3tUE9yZU8F1oVbiW2h+z9vOiJMWYcbdoAmTMDT58Cs2fDHHFgEUv79gG7dsmUDW2hKWPm6KHPQ1T8oyI2Xd8E+wT2WNZwGZI7J4cpoGMtSjX38QEmTFA9Gsbiwe7dskb5nTtAlizAggVy0Z4JGOI+RHwm7LqzC/vv7Vc9HMash4OD/uz1mDHA+/ewisBi5syZyJIlC5ycnFC6dGmcOHEi2tuvWbMGefLkEbcvWLAgtlJJPTNEFaC0YIJKY1JQyZg5Ov7wOErOL4mzT88ihXMK7Gm1B5WzVIapoNL9WsNJSj+nNa2MWYxZs4CaNYG3b4EyZWR+bXLTCOpJliRZ0K5Yu9BZCx19+THGjKNlSyBHDuDlS2DaNFh8YLFq1Sr06tULXl5eOHPmDAoXLoyaNWvieRTf/EeOHIGHhwfatGmDs2fPon79+uJyiZpAmJmdO4FDh2QanNbMizFzs/LiSrgvdhc9KwqkKoCT7U6iQqYKMDX16gElS8o0Uzpxw5jZCwoCunQBOneWHXabNwf27jVqv4qYGlhxIBxtHXHw/kHsvLNT9XAYsx52dvp8YJqypxMQZsRGF8tTETRDUbJkScz4XAsyJCQEGTNmRNeuXdGfOoZG0LhxY3z8+BGbN28Ova5MmTIoUqQI5syZE6Pn9PHxgZubG969e4fEiRNDBXqVaNb65EmgZ0+Z+82YufWp8NrrhZEHR4qf6+Wqh+UNlyORYyKYKiqUU6uW7HFB5b3Tp1c9Isa+EVUj+PlnmUtLRo+WXbZNJP0pMr2298LkY5NRMl1JHG97XPn6K8asRnAwULgwcPmyTJVR3IU5NsfhdrF54ICAAJw+fRoDtFq7ImUhAapVq4ajNJUbCbqeZjjCohmODRs2wJws6zUIRZ79hxLZgFo2wAGesWBm5tLzy3j29BwowaFm9hpo8K4OEiz53DreRNXQAWNzALduARvrAgUKqB4RY7FnowtBwd2TkeTZDQQ6umDPr8vwX/L6gIlXlEwX3B8ONnNx8vFJ1J04GMnsOP+XMWMpWbICul++DL9x47ClqDt+bFAV5iBWgcXLly8RHByM1KlTh7uefr527Vqk93n69Gmkt6fro+Lv7y8uYSMl1b2Lsq+agRZPPo+DZyuYGaoU7qcdny+mjc6P9tN+OP/5wpiZuo+MqOf/Dy7MLgzzkAqo2h2o6I1/P45WPRjGrMqKTEDFNECxp/4ImjgUsMTAwli8vb0xTMsvMwEUWNzPkw+vHe6J9XW0sJQxc5PAxhbZk2ZDsoTJYG5u3uSys8y8vXZKi1W5vZDVKQ2ywnwEJhiAyy9fwt+OKygwZmyTSj9Fr2PX8bq06RRXMWhgkSJFCtja2uLZs2fhrqef00Sx+Iyuj83tCaVahU2fohkLWsehch1Nkz1HxToLTjFlzPi4XQyzBLVhjmgN1jzVg2DMOunkMuhiZnTwGatz7w4ODihevDh2U/3tz2jxNv1ctmzZSO9D14e9Pdm5c2eUtyeOjo5icUjYiykwo/3KGGOMMcbMmY35HXjGOhWKZhJatWqFEiVKoFSpUpgyZYqo+tS6dWvx+5YtWyJ9+vQinYl0794d7u7umDhxIurWrYu//voLp06dwrx5fAaEMcYYY4yxaJlRykysAwsqH/vixQt4enqKBdhUNnbbtm2hC7Tv378vKkVpypUrhxUrVmDw4MEYOHAgcubMKSpCFeDyLowxxhhjjEXNTAKKb+5joYIp9LFgjDHGGGPM2vjE4jic6xsxxhhjjDHG4owDC8YYY4wxxliccWDBGGOMMcYYs8wGeRFpy0BUd+BmjDHGGGPMmvh8Pv6OybJsswgs3r9/L/6vskkeY4wxxhhj1ur9+/diEbfZV4WiJnyPHz9GokSJYKOo7JbW/fvBgwdcmcoM8f4zb7z/zBvvP/PG+8+88f4zXz4msu8oVKCgIl26dOFaSpjtjAX9IzJkyABTYEqdwFns8f4zb7z/zBvvP/PG+8+88f4zX4lNYN99baZCw4u3GWOMMcYYY3HGgQVjjDHGGGMszjiwiCFHR0d4eXmJ/zPzw/vPvPH+M2+8/8wb7z/zxvvPfDma4b4zi8XbjDHGGGOMMdPGMxaMMcYYY4yxOOPAgjHGGGOMMRZnHFgwxhhjjDHG4owDC8YYY4wxxliccWARQzNnzkSWLFng5OSE0qVL48SJE6qHZNGGDh0quqyHveTJkyf0958+fULnzp2RPHlyuLq6olGjRnj27Fm4x7h//z7q1q0LZ2dnpEqVCn379kVQUFC42+zbtw/FihUTFRdy5MiBxYsXfzEW3vdfd+DAAdSrV0905aR9tWHDhnC/pxoRnp6eSJs2LRImTIhq1arh5s2b4W7z+vVrNGvWTDQBSpIkCdq0aYMPHz6Eu82FCxdQsWJFsS+oG+m4ceO+GMuaNWvE3wrdpmDBgti6dWusx2Jtvrb/fvnlly/ej7Vq1Qp3G95/anh7e6NkyZJIlCiR+JyrX78+rl+/Hu42pvR5GZOxWJOY7L/KlSt/8f7r0KFDuNvw/lNj9uzZKFSoUGgDu7Jly+Lff/+17vceVYVi0fvrr790Dg4OukWLFukuX76sa9eunS5JkiS6Z8+eqR6axfLy8tLlz59f9+TJk9DLixcvQn/foUMHXcaMGXW7d+/WnTp1SlemTBlduXLlQn8fFBSkK1CggK5atWq6s2fP6rZu3apLkSKFbsCAAaG3uXPnjs7Z2VnXq1cv3ZUrV3TTp0/X2dra6rZt2xZ6G973MUOv76BBg3Tr1q2jKnO69evXh/v9mDFjdG5ubroNGzbozp8/r/v+++91WbNm1fn5+YXeplatWrrChQvrjh07pjt48KAuR44cOg8Pj9Dfv3v3Tpc6dWpds2bNdJcuXdKtXLlSlzBhQt3cuXNDb3P48GGxD8eNGyf26eDBg3X29va6ixcvxmos1uZr+69Vq1Zi/4R9P75+/TrcbXj/qVGzZk3dH3/8IV7Tc+fO6erUqaPLlCmT7sOHDyb5efm1sVibmOw/d3d38VqGff/R+0nD+0+dTZs26bZs2aK7ceOG7vr167qBAweKzyzan9b63uPAIgZKlSql69y5c+jPwcHBunTp0um8vb2VjsvSAws6SInM27dvxRt3zZo1odddvXpVHBAdPXpU/ExvzgQJEuiePn0aepvZs2frEidOrPP39xc/9+vXTwQvYTVu3Fh80Gt438dexAPTkJAQXZo0aXTjx48Ptw8dHR3FwSWhD0u638mTJ0Nv8++//+psbGx0jx49Ej/PmjVLlzRp0tD9R37//Xdd7ty5Q3/++eefdXXr1g03ntKlS+t+++23GI/F2kUVWPzwww9R3of3n+l4/vy52Bf79+83uc/LmIzF2kXcf1pg0b179yjvw/vPtCRNmlS3YMECq33vcSrUVwQEBOD06dNiul2TIEEC8fPRo0eVjs3SUXoDpWZky5ZNpFjQdCGh/REYGBhun1DqRKZMmUL3Cf2f0ihSp04depuaNWvCx8cHly9fDr1N2MfQbqM9Bu97w7h79y6ePn0a7nV0c3MTU7Vh9xelz5QoUSL0NnR7er2PHz8eeoHokFUAAIdtSURBVJtKlSrBwcEh3P6itIE3b97EaJ/GZCwscjQVT9P0uXPnRseOHfHq1avQ3/H+Mx3v3r0T/0+WLJnJfV7GZCzWLuL+0yxfvhwpUqRAgQIFMGDAAPj6+ob+jvefaQgODsZff/2Fjx8/ipQoa33v2Rn00SzQy5cvxR9L2J1O6Odr164pG5elowMFyiGkg5gnT55g2LBhIjf70qVL4sCCDk7oQCbiPqHfEfp/ZPtM+110t6E3tJ+fnzjY4X0fd9rrHdnrGHZf0EFrWHZ2duLLNextsmbN+sVjaL9LmjRplPs07GN8bSzsS7SeomHDhuL1v337NgYOHIjatWuLLyRbW1vefyYiJCQEPXr0QPny5cUBKDGlz8uYjMWaRbb/SNOmTZE5c2Zxoo3WKf3+++8iIF+3bp34Pe8/tS5evCgCCVrD4OrqivXr1yNfvnw4d+6cVb73OLBgJokOWjS0MIoCDfpgXb16tViwyRgzniZNmoRu09k1ek9mz55dzGJUrVpV6diYHi3MpJMvhw4dUj0UZsD91759+3DvPypcQO87CvLpfcjUohOgFETQbNPff/+NVq1aYf/+/bBWnAr1FTT1SGfkIq6cp5/TpEmjbFzWhqLsXLly4datW+J1p6m/t2/fRrlP6P+R7TPtd9Hdhio7UPDC+94wtNcquteR/v/8+fNwv6eqGFRpyBD7NOzvvzYW9nWUnkjvD3o/Et5/6nXp0gWbN2/G3r17kSFDhtDrTenzMiZjsVZR7b/I0Ik2Evb9x/tPHZoJoEpNxYsXF1W+ChcujKlTp1rte48Dixj8wdAfy+7du8NNV9LPNPXFjIPKVtLZGTpTQ/vD3t4+3D6haWFag6HtE/o/TU+GPdjZuXOneCPSFKV2m7CPod1Gewze94ZB6S/0wRX2daQpXMq9D7u/6AOP8kA1e/bsEa+39iVKt6GyqJQnGnZ/0dkiSqOJyT6NyVjY1z18+FCssaD3I+H9pw6tt6eDUkq/oNc8YrqZKX1exmQs1uZr+y8ydHachH3/8f4zHSEhIfD397fe955Bl4JbKCrjRVVHFi9eLKqftG/fXpTxCruKnxlW7969dfv27dPdvXtXlKCkUmxUgo0qZmhl06gk3549e0TZtLJly4pLxBJuNWrUECX8qCxbypQpIy3h1rdvX1EdYebMmZGWcON9/3Xv378XpfLoQh8rkyZNEtv//fdfaIlQet02btyou3DhgqgwFFm52aJFi+qOHz+uO3TokC5nzpzhypVSVQsqV9qiRQtRyo/2De2/iOVK7ezsdBMmTBD7lKqLRVau9GtjsTbR7T/6XZ8+fUTlEHo/7tq1S1esWDGxfz59+hT6GLz/1OjYsaMov0ufl2HLkfr6+obexpQ+L782Fmvztf1369Yt3fDhw8VrRe8/+rvPli2brlKlSqGPwftPnf79+4sKXrRv6POof//+ohrejh07rPa9x4FFDFHdYNohVCeYynpRrXYWf6iUWtq0acXrnT59evEzfcBq6CCiU6dOoqwbveEaNGggPozDunfvnq527dqiVj4FJRSsBAYGhrvN3r17dUWKFBHPQx/WVE88It73X0evIx2QRrxQmVKtTOiQIUPEgSV9+FWtWlXU/A7r1atX4kDU1dVVlNpr3bq1OKgNi/oWVKhQQTwG/V3QQWZEq1ev1uXKlUvsLyrRRzXGw4rJWKxNdPuPDnDoS4++7OggP3PmzKJGesTgmvefGpHtN7qE/Swzpc/LmIzFmnxt/92/f18EEcmSJRN/79Qfhg4ww/axILz/1Pj111/FZyK9XvQZWbVq1dCgwlrfezb0H8POgTDGGGOMMcasDa+xYIwxxhhjjMUZBxaMMcYYY4yxOOPAgjHGGGOMMRZnHFgwxhhjjDHG4owDC8YYY4wxxliccWDBGGOMMcYYizMOLBhjjDHGGGNxxoEFY4wxxhhjLM44sGCMMcYYY4zFGQcWjDHGGGOMsTjjwIIxxhhjjDEWZxxYMMYYY4wxxuKMAwvGGGOMMcZYnHFgwRhjjDHGGIszDiwYY4wxxhhjccaBBWOMMcYYYyzOOLBgjDHGGGOMxRkHFowxxhhjjLE448CCMSb88ssvcHV1VT0MxpgZWrx4MWxsbHDq1CnVQ2GMKWSn8skZY2q9evUKy5cvx8GDB3HgwAH4+fmhVq1aKFq0KH7++Wfxf8YYY4yxmOAZC8as1F9//YUsWbKge/fu4iyjvb29OONIwcbEiRNRrFgxMYsREBCgeqiMMcYYMwMcWDBmhQ4fPozmzZsjTZo0Yvvu3buoVq0anJyccPLkSTx+/BgeHh5YsmQJevbsKe6j0+lEIPLDDz988XifPn2Cm5sbfvvtN/Hzvn37RJDy999/f3FbSreigCViCsW9e/dCr7t8+TKSJk2K//3vfwgKCoo21eLly5fi+qFDh4a7PrLrxo8fL66vXLly6HXaWOn/YdWtWzfSx4hIu39Ul8j+rTQ7RK9V8uTJkThxYrRs2RJv3rwJ97j0Woe9L1mzZo24P/1OQ68bXTdhwoQvxlagQIFw/1YKEj09PVG8eHGxv1xcXFCxYkXs3bs30n+bNt6Il7DPH1ZUr0HYfUuWLVsmxpAwYUIkS5YMTZo0wYMHD8KN093dHdmyZcOLFy9Cr6d9QY8XFv277ezssHXr1tDr6N9M//aI6LaRjWfWrFnInz8/HB0dkS5dOnTu3Blv37794v7Hjx9HnTp1xN8mvXaFChXC1KlTxe9oX0X3dxD2eWO6b6Oj7feYvN7aaxLZbWkfhzV79mzx2jk7O4e7XWTv5W/x6NEj/Prrr0idOrV4vel1X7RoUejvnz17JvbnsGHDvrjv9evXxVhmzJiBO3fuiO3Jkyd/cbsjR46I361cudIgY2aMxRynQjFmhcaMGYOQkBAxa0EHeBGlSJECS5cuxZUrVzB37lx4eXkhVapUIhgZN24cXr9+LQ4INf/88w98fHzE7+OKDjApHStPnjxYvXq1OMgwBDpQ9Pb2jtFt6cA/7IFqTHTr1g0lS5YMd13btm0jvW2XLl2QJEkScaBMB0t0MPfff/+FBimRoQBr0KBBiAvaRwsWLBBBY7t27fD+/XssXLgQNWvWxIkTJ1CkSJFI7zd8+HBkzZpVbNNsVsQgKKwGDRqgYcOGYptS7ObNmxfu96NGjcKQIUNEqh29PhQ4TJ8+HZUqVcLZs2fF6+Lg4IB169ahTJky4vF2794tDkIj2rhxI37//XdMmTJFHPB/C9oHdBBLgXXHjh1D9wcF2BR000we2blzpwh006ZNK2b5KCi/evUqNm/eLH6mQJEeQ9OiRYtwrwVJmTKlwfct7Uvt305/s9EdTNN7SnseCsi1kwaaVatWoVOnTiII6dq1qwie6N84evRoGAIFDbRP6W+c3gP0evz7779o06aN+Nvs0aOHCDgoqKT3Pn3uRByfra0tfvrpJ3G78uXLi1TOiP8Oui5RokSRngRhjMUzHWPM6iRLlkyXOXPmcNe1atVK5+LiEu66IUOG6Ohj4p9//hE/X79+Xfw8e/bscLf7/vvvdVmyZNGFhISIn/fu3Stut2bNmi+em56Dnkvzxx9/iNvevXtX9/r1a12+fPl0uXPn1r18+TLc/bTbnTx5Mtz1L168ENd7eXmFuz7idf369dOlSpVKV7x4cZ27u3vo9dpY6f+a0qVL62rXrh3p40b0Lf9WGkNAQEDo9ePGjRPXb9y4MfQ62j9h7ztr1iydo6OjrkqVKuH2Hb1udN/x48d/8fz58+cP928NCgrS+fv7h7vNmzdvdKlTp9b9+uuvX9x/3rx54rFPnToVel3dunW/+NshgYGB4rbDhg374t9LYyT37t3T2dra6kaNGhXuvhcvXtTZ2dl9cT39vSVNmlTXvHlz8TPtC+1r6+zZs+L17dy58xdjoX8z/dsjotco7HieP3+uc3Bw0NWoUUMXHBwcersZM2aI2y1atCj0dcuaNav4d9PrFZb2Nx9RdH87Md230blx44Z4jgkTJkT57wurfPny4vEj/t3QPtJ4eHjokiRJovPz84vR33dM3p9htWnTRpc2bdov3ttNmjTRubm56Xx9fcXPc+fOFY9Ffxdh0WfDd999F/qzdrurV6+GXkfvqxQpUoR7fRljxsOpUIxZITpTTTMQX0NnBQmdTSS5cuVC6dKlxRlBDc1e0FnHZs2afXG2nZ6HzoyGvUSF0qm+//57cQZ727ZtIk3IUCj9gs6K05nyr1W+ojPldLaaZnXiS/v27UPPhBM6Ux4xnScsX19fMWtAZ3kzZcoU5W0ivtbBwcHhbkNne2k2gNCMFe07OlteokQJnDlzJtJ9QihF7mu0tTiRzSyEfW3peWm2Iuw46ex/zpw5v0jJor+3tWvXir+3kSNHhl7/5MkT1KtXD2XLlg1NRYqI/u0RXw96jcLatWuXGDedKU+QQP91SLM5lKK2ZcsW8TPNpFC6IN2OZlTCimqGKaZism8jE5t9Q+jfGd2+0d6vlAIV08eMDYq1aF/SfqPtsPuFZszevXsX+jdIszz0fqAZCs2lS5fEDGrjxo1Dr6O/Ixpr2M+j7du3i8c0xOwpYyz2OLBgzApRHvnt27e/ertbt26J/6dPnz70OloPQCkilLqj5YYHBgaK1I+IKJea0h3CXj5+/Bjpc7Vu3RqHDh0SBzfaugpDoZQK+jdra0CiQgejAwcOFEES5c/HFzqIDouCHUqxiSw3nkyaNEkcSNLYovs3Rnytr1279sXtaN0M/dvogIyCN7odHUDTgV1EWiBI6zG+RluTEF3gdvPmTXFQSf/+iGOllJvnz59/cR8KNOk+tDZEO9CnFJeHDx9GensN/dsjPkfE1Brtbzh37tzhrqfgi9Z3aL/X3iuRrduIq5js28jEZt9o++drQTUFarS+itLD7t+/L54jsr+Lb0H7kcZAqXER9wu994m2PykVs2rVqiIdSkNBBgUbYVPLKMijQGXFihWh11GQQZ9X3333nUHGzRiLHV5jwZgVolzxmTNnivx6ym+OKh+aDkLpi5/yojW00JZymukLnA6GaCEunfGOeHBG6GCQFgeHRQcCkaGzlZQzT2du6Yz+nj17YAh0wEoLVGmcYWcJIkOvBx3c01lPU0EHd7TofMCAAeHWtURErxnlnodFZ97DoteAFg3Xr18fffv2FbNWNItBa08iCzTptaDXjIKyr3n69Kn4P80+RIVmK+gMP81w0fNGFPHA98OHD+jVq5dYR0CBFx2Ea+Oiv5VGjRqJmSiaSYiIFkHPnz8/3HUUBEdc82EO+zYyYReCxwTtH5oZiA69r2mNyYgRIyJdPB0XtO8JzSS0atUq0tuEDebpc4YCjnPnzom1PxRkULBBQUdYdKKD9ist2C5YsCA2bdok1omEnYFijBkPBxaMWaHBgwdjw4YNIgWHzuw2bdo0NG2GzlTSYlkKCmiRLp0NDJtCQQdAVDGJAgs6s0+zF7R4NjL0RR92QSuJ7ICS0KJiSoWi31PgE13QExt00EYHJmFTKKJKSaGDKTooyZw5M+ITnbmvUqVKuANoSu+JbAEypQDRQlRaIBwdmgWI+FrT4tuwqLIPnYmnlKSwKTwRz+RrqAIXlR2OyUEapamQvHnzRnmb7Nmzi9kHWghOaU5fQ+OiGSxaME5peVQtjII++tstV66ceE3oNrRvKfCI+G+P+HrQQWpY2n6mg2l6XcKmDWmV0rRxa+k4ER8zLmK6b6PaN3QGP6oF92HR7A69jtHtG0JVuigYo9Qvmgmh1/b8+fPo06cP4opOUNC/lT5nYvIaUvBLM4xaOtSNGzfEezkiKvRAj02fR5SmSe/jyGZPGWPGwSE9Y1aIziofPXoUtWvXDu1ZQWezKU2JDrYohYkOMqjaE50tjoi+uOlAks56UyBAZxfjSpvZoKCFHo8em2ZN4oL+jXRmm9ZLfC0XnnL16d8f18pLMUFnzSl9TENViCj9i/ZHxLPS9DtKTaH9EVdaUCfXFutLqNLrFBHtX7rEtLIOHQDSwX10B6+UxkJjoAAu7Bi0MVEPFQ0dxE+bNk3clh6Xghtt5oyCCkKvCx2s0qzGt6ADXEp7oucJOx4KaikFiP4WCb0/KBiiADpiGdqI/46Yisu+pcCHzsxTus/X0psIVX8jMUkPooN3OrlAnwf0+kRWNe5b0H6nGSZaZ0H7NqKwZYW1NCeaYaGZCho/7ScKNiKi4Io+o+h2NDNJJzPiM42RMRY9nrFgzEplzJhRHHTTmXKadaCUDDqjO2fOHHEWlC5RHYzTARfl51MKAh0Mx2QheGzQQT4doFLJy7B51oQOgsMuAtcWltN6ECqZWqpUqdDf7dixA9WrV4/RGVK6LZVCNeSi8egODCmtgxaf0tly6qNQoUIFMWMT1v79+8XroOWgxxXNBNFsBZVBpX1IZ+Vpf+fLl0/MmmhoVkA7S00HvXSQGXYhPAVgdB2ltdCZc1oUTwvu6bGiC+DozD+dpaeDVzqwpgNFCgxoHOvXrxfpXNrz0swR9Tigv4Go0EE19TGg15HSvmKbV09numksFLzQmW96/bX9QaWDtQXAFNRQEEBpfPS+oP1BwQ7N9mmzKLH1rfv2woULYrw0C0H7MOy+0RY/04yOdkKAZh1oNpCCdSo3Gx1azE6v559//vnNs3bUk4L+FiKiWRkK8GmBPs0s0P6ivzsqIEDjpuem7bBoJor2Ae0PCjIiLpwPmw5FwSE99tixY79p3IwxAzFiBSrGmAmLrNxsdDp16iRKPa5YseKL331rudmwlixZIq7ftGlTuNtFdwlbWpV+trGx0Z0+fTrc49JtIis3S2UwP378GO628VVudv/+/br27duLUqqurq66Zs2a6V69ehXuvlR2lG67fv36cNfT431ruVkqjTp69GhxfypvWrRoUd3mzZu/eEy6z9dea+3rY+zYsbqSJUvqli9f/sXzR7Vv165dq6tQoYJ4feiSJ08eUTaWystq+5723eHDh8PdL2y52bCqV68uHkMrpRvTcrNhy8vS/e3t7UXp3Y4dO35RVpYcOnRIPFeiRInEuAsVKqSbPn267lvKzcZk30ZGew2+dqG/S3r9cuTIoRs6dOgXZYYjlpulErDp0qUTJWfDim252aguDx48ELd79uyZ2NcZM2YUr3eaNGl0VatWFaWNI/Lx8dElTJhQ3H/ZsmXRPj/t7wQJEugePnwY7e0YY/HLhv5jqCCFMWY9aKEnpYzQolAqUakapZRQg7mIHbRNCaVq0BlqKmdLC95NFTVIo0tUXcdptoFSg/jrwzT/zmlBN/2the26bumKFi0q1n/R+jDGmDq8xoIxFmtUHpNSMChn2hSCCsaY9aJ0PErjpJQoxphavMaCMRZjVGeecqGpuhAttP2WajbxJUeOHF80QGPfhtalRLcIm9Y2UEUwZny0MPlrZZNpDY3W3NKS0SLw06dPiwIUtObla5XfGGPxj1OhGGMxRukXVCaVFmvTgl3qOcEsLxWKMXNJC6Ou5dRDhwoHuLu7qx4SY1aPAwvGGGOMMcZYnPEaC8YYY4wxxliccWDBGGOMMcYYs47F2yEhIXj8+LFopPS17rmMMcYYY4wxw6BVE+/fv0e6dOlEw1CzDywoqKAuwYwxxhhjjDHje/DgATJkyGD+gQXNVGj/oMSJE6seDmOMMcYYY1bBx8dHnODXjscNGlgcOHAA48ePF7Wjnzx5gvXr16N+/fpfLVHZq1cvXL58WQxs8ODB+OWXX2L8nFr6EwUVHFgwxhhjjDFmXDFZjhDrxdsfP35E4cKFMXPmzBjd/u7du6hbt66ofU+dMXv06IG2bdti+/btsX1qxhhjjDHGmImK9YxF7dq1xSWmqGlN1qxZRWdMQt1cDx06hMmTJ6NmzZqxfXrGGGOMMcaYNZabPXr0KKpVqxbuOgoo6Pqo+Pv7i3yusBfGGGOMMcaY6Yr3xdtPnz5F6tSpw11HP1Ow4Ofnh4QJE35xH29vbwwbNiy+h8YYY4wxxgwkODgYgYGBqofBYsne3h62trYwBJOsCjVgwACx2DvianTGGGOMMWZ6fQ7oRPLbt29VD4V9oyRJkiBNmjRx7hcX74EFDfLZs2fhrqOfqbpTZLMVxNHRUVwYY4wxxphp04KKVKlSwdnZmZsZm1lQ6Ovri+fPn4uf06ZNa9qBRdmyZbF169Zw1+3cuVNczxhjzDIFBgfC3tZe9TAYsz46HRAURPktRkt/0oKK5MmTG+U5mWFpJ/opuKD9GJe0qFgv3v7w4YMoG0sXrZwsbd+/fz80jally5aht+/QoQPu3LmDfv364dq1a5g1axZWr16Nnj17fvOgGWOMma5JRyfBYaQD8s/Kj17be2H7re3wC/RTPSzGLF9wMPC//wHOzoC7OzB6NHD6NBASEm9Pqa2poJkKZr60/RfXNTI2OpoDiQVqdkc9KSJq1aoVFi9eLBrf3bt3T9wu7H0okLhy5YpoBT5kyJBYNcijNRZubm549+4dN8hjMfbgAfDyZeS/o0y7PHmABPFeF40x63Ls4TFUWFQBwbrgcNc72TmhUuZKqJm9Jr7P/T1yJMuhbIyMWSwKJAYN+vL6lCmB6tWpLCdQrx6QNKnBnvLTp0/iJDO1FnBycjLY4zLjim4/xuY4PNaBhQocWLDYOnwYqFQp+pM0Q4cCXl7GHBVjls3H3wdF5hTB3bd38XP+n/Fj3h+x/fZ2bLu1DY/ePwq9naOtI/a02oNyGcspHS9jFuXYMaBCBTlrQb3DKL2FmhHv3k3pJvrbZckCXLgAJEpkkKflwMIyfDJQYMHna5nFoVB5wAAZVCRJAqRPH/6SJo283fjxlE+oerSMWY5OWzqJoCJLkiyY9795+Cn/T1jw/QI86PkAlzpewsQaE1EsbTH4B/uj/67+YtEgY8wAqN9X06YyqPDwACjdvGNHYMMG4PVrYP9+YOBAqvcP3LsHTJ+uesTsG+XPnx8vXrwQB/k5c+bE+/fvYUo4sGAWZ+dO4OBBme506RLw8GH4y+PHQIkSwMePwNixqkfLmGVYdmEZll9cDlsbW6xouAJuTm6hv6MKMflT5Uevsr2wsclGMWNx8P5B7LqzS+mYGbMYnTrRolc5GzF7Nr3p9L+jRdw0hT9qFDBpkv7MGpeGFWn59evX/+J6SuGnzy1TLJ/bqlUrpEuXDsmSJUOdOnWQyEAzT4bCgQWzKHQCdPBguU0na2iGIiL6vB0xQm7PmiUDDcbYt7v9+raYrSBe7l4omzHqqn8ZEmdAxxIdxfbgvYN51oKxuFq2DFi+HKBKPvR/N31Q/4XGjYF8+WRQoQUZzKz069cPr169ErMWU6dOhanhwIJZlM2bgZMnZUGM/v2jvh2tXytfnnIK5Vo3xti3l5Vtuq4p3ge8R8VMFTGw4sCv3qd/hf5wtnfGiUcnsPnGZqOMkzGLdPu2PItGaNFgua+sW6LgY/hwuT1lStQVTlgoKkxEzePCqlSpkpjR0CqkHjhwAHnz5hWVlWgtQs2aNXHz5s3Q22fJkgVT6PX+bPDgwaKYERU7iulzhJ1FoXUONGPRokULcd0GSnkzERxYMItBayqGDJHb3brJVNKo0KzFyJFye9484L//jDNGxizN0H1DRYCQxCkJljVcBtsEX69/nto1NbqW6iq2Pfd5IkQXf6UwGbNYVBaU1lXQwuyKFeUaipho0AAoWhSg3HxKiTIwmoSkVGMVF2NMgK5btw5nz54Nd1369OkxY8YMXL58GYcOHUKCBAnw22+/RXr/iRMnYu7cuaKnGwUcMX2OiE6fPo1NmzbB1HBgwSzG2rXA+fMAFSzo2/frt69cGahaVX42a6lRjLGY23t3L7wPeYvt+fXmI5Nbphjft2+5vkjkkAjnnp7Duqvr4nGUjFkomqE4cUJWKaF0qJg2NaM669qXHi3ifvrUoMPy9QVcXdVc6Llja/PmzXB1dQ13qV27dqS3pR4Pv//+u7iElT17dlStWlVUVKIF1dS9mhoHRrRgwQIMHz4c27ZtEzMcsXmOiHr16oW+MTnYMTIOLJhFoPevVjqWimEkSxaz+2mfrYsXA7duxd/4GLM0r3xfocX6FtBBhzZF2+DHfD/G6v7JnZOLxdzEc68ngkO+/BJmjEVh715gzBi5PX8+kCnmQb1Qpw5QujTg56d/HCtFvdm0xs/ahQKAyMycOVOkOjVr1uyL31GjaFdXV7i4uODEiRMivSmsjRs3ilkMWnhdoECBKMcT3XNoKPWJmk/37t0bpoYDC2YRVq4Erl6VPX9i09S9bFn5+UqBybBh8TlCxiwHLbhu90870ZsiV/JcmFrr2xYQ9izTE0mdkuLqy6tYeWmlwcfJmEV69Qpo0ULm/bRpA/wYu6D+i3xgqiJFHWUNhNY4UnaWisu3NP+mQCBHjhzhLpTaFNGbN28wYsQITJo0SaxriIgChnPnzmH//v1ImjQpxkQI2A4fPoxVq1aJ+w6lRlqR+NpzaDMatIB71KhRSEi9SkwMBxbM7FEqk/Ye7dcv+oIYkdHWsVExjStXDD8+xizNvNPzsP7aetgnsMfKRivh4uDyTY9DJWkpJYoM2z9MLARnjEWDgom2bYFHj4BcuYC4VAWiXGB3dyAgQJaiNRA6HnZxUXOJ4ljcIOiAv2LFimJRdWTs7OxEUFKhQgX06dMHy+mgIoz+/fvjxx9/FDMZkydPxkmqNBPL5yCzZ88WMyO0cNsUcWDBzN7SpbIwRsqUQJcusb9/8eJyLRt9XkdxEoEx9tmVF1fQc7ucFvSu6i0a3sVF19JdkdI5JW69voWl55caaJSMWSiqNkIVgKg3BU3V09H0twpbe33hQtkHg0XK19cX8+bNw7hx46Jcp0EzEvfv38eRI0fE7YrSAvkwqIoTKVWqFHr06IHWrVsjgIK6GD6Hhn5PC8CjmtFQjQMLZtb8/fUzDtRtmxZvfQtKg6L36Jo1wOfKboyxCD4FfYLHWg/4BfmhRvYa6Fk2FnmHUXB1cMWACgPE9vADw+Ef5G+AkTJmgWhKXcv1pTSbYnEL6gWqJlWjBhAUpP8yZZGmH1EgkItmiSLx8OFD0bguZ86caNCggUilijhjEdawYcMQEhISLiXqa88Rdk0IXUyVjc4MuhP5+PiIhSzUvpxq9zKmmTlTzlKkSycXX8cl3ZCq9tEJoHr1ABOs4MaYcj229cDU41PFDMOFjheQxjWNQR7XL9APOabnwOP3jzGj9gx0LtXZII/LmMWgpku02PrCBRkI/PuvrO5kCFRZih6bHo+Cl9y5Yzm0T7h7966oiOTk5GSYMTGji24/xuY4nGcsmNmiYhZaWih1247rGiY6cUCfq//8Axw/bpAhMmYxtt7cKoIKsrj+YoMFFSShfUIMrjhYbI86OEoEGoyxMKjjKwUVlPO7ZInhggpSqhTw/feyGRTnA7M44sCCmS0qZPHkCZA5syyMEVc0+9iypdz29Iz74zFmKZ5+eIpfNvwitruV6oY6OesY/DnaFGuDzG6Z8eTDE8w+Ndvgj8+Y2dq6Vb9Im0qYpjFcUB9KS4NatQq4eNHwj8+sBgcWzCxRWTlvb30Q4OBgmMelx7KzA3bsAA4cMMxjMmbOqCt2qw2t8ML3BQqlLoSx1cfGy/M42DrA011G9NR070PAh3h5HsbMCjWv+0UG9ejeXdZHjw+FCwM//SSrmGhNoRj7BhxYMLM0bRrw8iWQI4d+lsEQsmaVlfzIkCHyM5Yxazbl2BTsuL0DCe0SitKyTnbxl0PdsnBL5EiWAy99X2La8Wnx9jyMmQVKTWrVCnjxQh74x3cjO6piQilW69cDp0/H73Mxi8WBBTM7b98C48frPwdphsGQBg0CHB3ljMXu3YZ9bMbMyZknZ9B/V3+xPbnmZORLmS9en88ugR2Gussc7/FHxuPtp7fx+nyMmbQpU+T0OS0gXLECiO+F0XnzAlq3Z84HZt+IAwtmdiZPlsFFvnxA48aGf/wMGYAOHfSLwnnWglmjjwEfRWnZwJBA1M9TH+2LtzfK8zYp0EQEMBRUTD462SjPyZjJOXtWLtgmkybJLzxjoIDC1lau6zhyxDjPySwKBxbMrFD6EwUW2loz+vyLD/R57uwsq0Nt2RI/z8GYqZeWvfHqBtInSo8F9RYYrRmTbQJbDK8sF5JOPjYZr3xfGeV5GTMZHz8CHh7U2ACoXx/47TfjPTflF7durc8HZiyWOLBgZoVSoN6/B6ihJXXLji9UdKNrV/1nK6W6MmYt/r7yNxacXQAb2ODPBn8iuXNyoz5/g7wNUCRNEbwPeC9SohizKj16ANevA+nTAwsWyO6txkRfelQRZc8eeWEsFjiwYGZVHGP6dLk9YoRhy3hHpm9fIFEi2Yl73br4fS7GTMX9d/fR7p92Yrt/hf6oktX4HV4T2CTAiCojxDYt4qZyt4xZhb//1gcTf/4JJDduUC9kygS0/5z6yFVMWCxxYMHMBhXEoKZ41CA0viruhUWf5z17ym2qvhccHP/PyZhKwSHBaL6uuVjfUCp9KQyrPEzZWOrmrIvS6UvDL8gPYw7FczUcxkzB/ftAOxnUY8AAoIrxg/pQAwfKxeK0zmL7dnXjYN9s+vTpGEFnYQHMnDkTffr0gTFwYMHMwoMHsiEeGTnSeDPDFFgkTQpcuQL89ZdxnpMxVUYfHI2D9w8ikUMirGi4Ava29srGQms6tFkLapj30OehsrEwFu/ozFXz5rIyCXXCVt0BO21aoHNnq6hi8vTpU3Tt2hXZsmWDo6MjMmbMiHr16mG3mZeF/Pnnn7FkyRLY29tj5MiRaGOITsIxwIEFMwujRgEBAYC7O1C1qvGeN0kSmRJF6HOe1tIxZomOPDiCYfvlDMWsurOQPVl21UNCtWzVUClzJQQEB2DUgVGqh8NY/Bk9Gjh4UObfUmlZe3VBfajffwdcXGRPi40bYYnu3buH4sWLY8+ePRg/fjwuXryIbdu2oUqVKuisBVZmKnXq1Lhx4wb+++8/PHjwAHmpnLARcGDBTN6dO8DChXKbZvWMvY6NFnGnTAncugUsXWrc52bMGN59eodm65ohWBeMZgWboXmh5jAFYWctaDH53Td3VQ+JMcOjdCNqykRmzQKyqw/qBfrio4XkFlzFpFOnTuJz5sSJE2jUqBFy5cqF/Pnzo1evXjh27Ji4Df1+9uzZqF27NhImTChmNv6mtTBh0IE7zRAkSZIEyZIlww8//CCClrDoZ3qsiJe3NEv1Gf28YcOGcPerXLkyemj7AUCWLFkwhXqcfEYzK3S/+lRBLMJ9EiRIgHTp0uH27dti5qJIkSKIbxxYMJNHwURQEFCjBlCxovGf39VVX06cStz6+xt/DIzFF51Oh45bOuLe23vImiSrmK0wJTRjUSN7DQSFBGH4AVmGljGL8e6dbEpHqVD0f0qHMiW9ewNubsClS8Dq1TH+TKE+OCou9Nwx9fr1azE7QTMTLjQzEwEFCZohQ4aIwOP8+fNo1qwZmjRpgqtXr4rfBQYGombNmkiUKBEOHjyIw4cPw9XVFbVq1UIApVpEsGvXLjx58gRr165FXIWEhKB3797i+aLTt29fOMV3g8XPDNyzmDHDoop72izB5zVISnTsCEycKNfW0exJp07qxsKYIS09vxQrL62ErY0tVjRagcSOiWFqaNZix+0dYqz9y/dH7hS5VQ+Jsbijg2DqxkpntrNmpRW2MDm0yJCCC2qcR/nAP/4I2EV/6Ogb6AtX7+gPdOPLhwEf4OLwZZAQmVu3bolAJE+ePF+97U8//YS2bduKbVoQvXPnTrE4etasWVi1apU4wF+wQN/v548//hCByb59+1CDzoqCTkrKs5Jp0qQRF5rZiCtaQ0GPSzMkHz58iPQ2e/fuxZEjR8T4aTu+8YwFM2n0OUazr99/L9ezqZIwITBokH7xOFWnYszc3Xp9C523yjzi4VWGo0yGMjBFVKGqXq56CNGFhK4DYczs0VkzqgpCnV5pXQXNDJii7t1lmUQ607d8OSxFbGY3ypYt+8XP2owFzWJQkEIzFq6uruJCQcOnT59ECpLm1SvZ7DNx4uhP3nh4eIQ+Dl1oFiQyvr6+GDx4MMaNGwe7KII9+jfSjIaXlxfcjPT3xTMWzGRdvAisWqVPQVKNCiqMGwf89x8wZ46+FC1j5ogWRHus9cDHwI+onKUyfi//O0wZBT7/3PgHf136CwMqDEDB1AVVD4mxb0eL9rTFwbS+ooxpBvUCHQjTQu5+/eRYmzaNdnG5s72zmDlQgZ47pnLmzClmGK5duxan56SZAloAvjySoCslrVP57M6dO3BwcBBrHqIzefJkVKtWLfRnSr2KDC02z507t6hgFVVa1dKlS/Hx40d06NABo6gKjhHwjAUzWdQ7gk4o/PQTULiw6tEAjo5y/Rrx9qYPE9UjYuzbee71xKnHp5DUKanorm2bwBamjDpx/5jvR+igg9c+L9XDYezbUd69hwfw8aMsdagt4jNlFASlTg3cvUt5PtHelA7WKR1JxUVLRYoJmlWgtRHU44EOviMKu6haW8gd9metylKxYsVw8+ZNpEqVCjly5Ah3CTtLsH//fpQrVw62NEMVDUqTCvsYtGA8IlqjMXHiRHGJCs1oDBo0CGPHjhULt42FAwtmkqi63fr1sru2VizDFLRsCeTIAbx4oe8Czpi52X1nN8YdHie2F3y/ABkSZ4A5oIZ9NrDB+mvrcfrxadXDYezb0HqFU6fk+gXqrv2VA02T4Owsm+ZpCx4/fYIloKAiODgYpUqVEmf9KUCgFKdp06aFS39as2YNFi1aJMq3UloRVZHq0qVL6IxCihQpxDqHgwcP4u7du2JtRbdu3fDw4UPx+AcOHMCKFSvQsGFD0TeDLrR4nDx//vybxt2gQQMULVo0ytvQ82XPnj1ctShj4MCCmeznLqEZQCOVXo4RCvq1vkXjx8uCHoyZk5e+L9FifQtx5r99sfZomLchzEW+lPnQrJBMC/Dc9/lDgjFzQk3XKKeWLFgAZMwIs9G+PZAhA/DwITB/PiwBlY49c+aM6FtBaxEKFCiA6tWrixKuVGJWM2zYMPz1118oVKiQSC9auXIl8uXLJ37n7OwsAodMmTKJwIFmMqgZHa2xoPUUVIrW3d1dzCBQsJE2bVpxoSpThNKZYosWi38ttYmeL7oZjXij+wYzZszQZc6cWefo6KgrVaqU7vjx49HefvLkybpcuXLpnJycdBkyZND16NFD5+fnF+Pne/fuHa2wEf9nlu/wYUqA0ulsbXW6mzd1JicoSKfLl0+O0ctL9WgYi7mQkBBdvRX1dBgKXZ4ZeXQfAz7qzM3NVzd1tsNsxb/h8P3DqofDWMy9eKHTpU0rvzzat9eZpTlz5PhTp9bpPsrPDzqeu3LlSqyO68wJHX+uX7/+m+9/9+5dccwcFTc3N50piG4/xuY4PNYzFlRWixqH0FQQRXmFCxcWOWpRTeXQVEz//v3F7Wl6aeHCheIxBmpTaoxFoK1jaN1aph2ZGpq11tKzJk2iSg+qR8RYzMw+NVssgHawdcDKRitjtdDRVORIlgOti7QW20P2fv6wYMzU0fEpVQB58gSg8qaTJ8Ms0RczlcZ99sw0y+OaIFtb23CLuCPrkG1JYh1YTJo0Ce3atUPr1q3FNNCcOXPENBDlnkWGaueWL18eTZs2Fd0CqZ4vldKi/DTGIqISy3v2AA4O+gDDFDVsCFADy/fvgQkTVI+Gsa+79PwSeu/oLbbHVhsrFkObq8GVBsM+gT323N2DvXfjvy47Y3FGpQQ3bZJfblRiltYsmCMaP1VWIWPHyi9BFq2MGTPi5MmTUf7+OpXxtdbAgjoInj59OlwZLGoXTj8fPXo00vvQCni6jxZIULmtrVu3ok6dOnEdO7PAEzpaMNGuHZApE0wWLSrXSuBOmyZP3jBmqvwC/URp2U9Bn1A7R210L90d5ixzksxoX7x96KxFbOrRM2Z01LW6Vy+5TesrTKHMYVzQ4sdcueR0/dSpsHT0+WLsBdBWE1i8fPlSrG6POG1DP9MK98jQTMXw4cNRoUIFUe6KVqhXrlw52lQo6iLo4+MT7sIs3/btwOHDAHWdN4dMuf/9Tzbt8/UFxoxRPRrGotZvZz8xY5HKJRX++OGPWJVkNFUDKw6Ek50TDj84jO23t6seDmORo26qVFqWqijVrg106wazR83YtHxgmrLnKibMmFWhqOTW6NGjRdtzWpOxbt06bNmyRbREj4q3t7eo/atdaBqJWc9sBZXL/kr/GJNAx2bUhZtQ8QgqlMGYqfnn+j+YcXKG2F5SfwlSu1pGPm+6ROnQuaRsMMazFsxkUVM5mrGgE7KLF8svDkvw889AgQIyqPhKXwtmXWIVWFCdXlqE8ixC3gf9TA09IjNkyBC0aNECbdu2RcGCBUXdXQo0KHigclmRGTBgAN69exd6oVJdzLJR6imV9XZxkQ0+zQVlBVasSLNsgJGaWjIWY4/fP0brjXKhc88yPVErRy1YEuoW7mLvIhr9bby+UfVwGAtv82ZghgzqRVCRKhUsRth8YOrFERysekTMHAMLakVObcupvq+GggP6OWwjkYh1dGkdRlha18GozjA5OjqK2r9hL8xyUXypzVbQLHE0xRNMetZi4ULZlJQxUxCiC0GrDa3wyu+VWKjtXdUblialS8rQ9SLUSZz+zYyZBKr+RBWUSM+eQC3LCuoFWndQvLjsIM4p6+xbU6Go1Oz8+fOxZMkSUT62Y8eOohU6VYkiLVu2FDMOmnr16okmI9RYhLoR7ty5U8xi0PVfa2vOrMOaNcDFiwB1vu/bF2anUiWgenUgMFA2JGXMFEw8MhG77uwSJWWptKyjnSMsUZ9yfeDm6IaLzy9izeU1qofDmDxb1rIlLUyV5QO9LS+oDz2zpn3pUXWogADVI2ImwC62d2jcuDFevHgBT09PsWC7SJEi2LZtW+iC7vv374eboRg8eLBYKEj/f/TokajlS0HF1zoGMusQFKSvXNe7N5A0KcwSfbbu3AksXQr07y8LZjCmCqUGDdwjKyBMrTUVeVLkgaVKmjApepftLTpxe+3zQqN8jWCXINZfbYwZDnU73rULSJgQWLmS0jBgsWgmpmhRuVCSAinOMLF6NtQlDyaOqkLRIm5ab8FpUZaFDsRbtQKSJZNpROa8e+vVkym1TZsCy5erHg2zVh8CPqDY3GK4+fomGuVthDU/rbGIKlDR8fH3QdapWfHa77VYoN6ycEvVQ2LWihYLUmo4nTWbN0/WTrdwn/btw91Pn5A1ZUo40YJuSw6kzISPjw8qVaqEQ4cO4e3bt6Ia661bt6K9z6dPn0RmUdasWeFE5Tm/8Tg83qtCMRYVSh0aOlRu04Jtcw4qiLaOjU5QUREQxlTo9m83EVRkTJwR8+vNt/iggiR2TCwWcpNh+4chMDhQ9ZCYNfrwQZ5ZoqCiUSOgbVtYhTJlZJ14Ok9Na0vMyC+//CI+I7VL8uTJUatWLVy4cAHmLHHixKLNQ5IkSURzalq2YCwcWDBlqEIdzVJQFh2VmDV3NBv844/ys1VL72LMmFZfXo0/zv0BG9hgWcNlIk3IWlDp2dQuqXHnzR0sPrdY9XCYNaLqIzdvAhkyyNkKKwjqQyVJIv9P6VDUs8OMUCDx5MkTcaFiRHZ2dvgfNaoyczNmzMDz58/x+vVr9KZccyPhwIIpQZ872povaoZHZWYtAfUMou+SdeuAM2dUj4ZZk3tv76H9P7Ib9aCKg1ApcyVYExcHF9E0jww/MFx0GWfMaFatkmfL6Atg2TKZ32tNKP3J1VVum9msBVUipZYJdKF1w/379xdtDmg98b1798RMxrlz5yK9L80ILKZSwp89fPgQHh4eSJYsGVxcXFCiRAkcP3489PdUzIgaRVOV1dy5c+NPKtUbBj3Xhg0bxDatVKCCSIUKFcKbN2/EdUOHDhVj1AQEBCBHjhzifpTyRGg8NC5C46DZC0qLiu7fYUgcWDAl5s+XDeXoxE57eSxkEfLlA5o1k9uenqpHw6xFUEgQmq9rjnf+71A2Q1l4VbbOKbP2xdsjQ+IMeOjzEPNPz1c9HGYt7t0DfvtNbg8aBLi7wyppfTpo1oIuVIbW2Jc4Lhv+8OEDli1bJg7WKS0qtvd1d3cXhYo2bdqE8+fPo1+/fqE929avX4/u3buL2YNLly7ht99+ExVV9+7dG+njdevWDUeOHMGOHTuQNIrKNjQrEbG3XETUmPrs2bMwFg4smNH5+uqbyQ0eLFMzLQmlQVEl5S1bgKNHVY+GWYORB0bi8IPDYq3B8obLrbYqkpOdEwZXHCy2Rx0cBd9AX9VDYpaO1lM0by47UNNaA2s+o+TsLFOiKCWBGlLRDIaxL3SAEUubN2+Gq6uruCRKlEgEBatWrfqiB9vXrFixQsxy0IwDrW+g4OTnn38O7fM2YcIEsaajU6dOyJUrl2jf0LBhQ3F9RFRJlQKRXbt2RdmAmlKcRo4cid+j6SocGBgofh/dbQyNAwtmdDNnUrd2IGtWff8gS5IjBy0Ik9ta4z/G4suh+4cw4oDMK5xTdw6yJs0Ka9a6aGtkTZIVzz4+w6yTs1QPh1k66pB6+DCQKBEdWQL29rBq6dLB3FSpUkWkCNHlxIkTqFmzJmrXro3//vsv9DblypUTQUfGjBlF2wVKeYqI7l+0aFGRfhQZ6v1Wvnz5cNfRz3R9xFkIaslAqVK08Doqw4cPF2OnICYqM2fOFNWcmmmpFEbAgQUzKmrOOXas/sy+gwMsEgUU9P1CTeqjmOVkLM7e+L1Bs3XNRMdpKrHqUdAD1s7B1gFe7jIVbMyhMXjv/171kJilOnRIv1hwzhx5tsza0awFBRcHDgDnz8tKWca80PPHEq2FoNkFupQsWRILFiwQjZ+pGbSGZjAonWjlypW4efMmOnTo8MXjJKS+JQZAwc3WrVtFutTcuXMjvQ2NgcY5VjugigStyxgxYgQmTZpk1OqAHFgwo5o6FXj1CsidW78WwRJlzqxfO0JBhul3i2Hmhhb2ddjSAfff3Uf2pNkxo/YM1UMyGc0KNUOu5Lnwyu8Vph6fqno4zBLRYlr6EtO6bFOZWSalTy+bA2qduKk6i7EuBjiApoNwSoPy8/MLvY5mKijwoNmBNm3aRLoImhZZnzt3TqQoRSZv3rw4TLNbYdDP+WhxZhhTpkwRMyazZs1C3759RePpiCi1qW3btmJMUaGgomLFimLhtjFxYMGM+jlMDUm16kl2Fp4GTtWuaP0IfY7s2KF6NMzSUFlZKi9L6ylWNFqBRI6JVA/JZNBrMqzyMLE94cgEMbPDmMHQmSI6Y00HfNmzU+6K6hGZFvri0xY+P3oEU+fv74+nT5+KC6Ulde3aVSzErkddb8NUX6IGcpQe9ffff6MANQKMgKpBpUmTBvXr1xcBw507d7B27Voc/bzYkoIEqthElaFoxoFmEmhhdZ8+fcI9jpZK1ahRI9SpU0cEEGFRo7t9+/bBM5r1PL6+vpg3bx7GjRsHY+PAghkNBRW0vq1gQeCnn2DxaDa4Uyf9InWetWCGcv3ldXT9t6vYHlFlBEqlL6V6SCbn5/w/o0CqAqJS1qSjk1QPh1kSKi+6erU8O0brKmh9BfvyC5BmDyj/+b1ppyNu27YNadOmFZfSpUvj5MmTWLNmjehWraHrKdWJSr3SIu/IUpSohOyOHTuQKlUqERAULFgQY8aMgS1VcwFEwDF16lSxWDt//vziMf74449wzxMRrbeg6lIUJGgoTWvQoEFRruXQFm1TxSlaJG5sNjqaTzdxsWklzkzTixcy/ZSqwVGPhwYNYHX/bipN/cMPqkfEzF1AcADKLiyLM0/O4Lus32Fni51IYMPniCKz4doGNFjVAK4OrrjT7Q5SuqRUPSRm7m7cAIoVkx/q3t5A//6wdnQm/+7du8iaNSucwpZ5pMXP9CVI1Zoo/9maGgZa0n6M5XE4fxsxo6D1RfQ5XLw4Re2wGlRxr3t3/VqLz+WsGftmg3YPEkFFsoTJsLT+Ug4qovFD7h9QPG1xfAj4gHGHjZ8SwCwMrRnw8JBfZt99B/Trp3pEpi1tWhlM0KJqE5+1YIbD30gs3j1+LEvMEiqgYW0nLXr3BijAv3gRWLNG9WiYOdt5eycmHJU1zxd9vwjpE6dXPSSTRoswKVWMzDw5E0/em1dHYGZiqPndmTOyq/bSpUAs+xxYHSr7SGfXtLUWpp8gwwyA3xUs3tFsMfXLKVcOqFULVoe+gyi40ErsUj8lxmLrxccXaLmhpdjuWKIjfsjDeXUxUStHLZTLWA5+QX7wPuStejjMXO3cSR3O5PaiRbLyEYvZrAUFYDTLQ4ssmcXjwILFK0qx1NY4UR8ha5ut0PToIQOM69flWj/GYoOWwrXe2BpPPzxFvpT5MKHGl51aWdSzFiOrjBTbc0/PFeV5GYsVWidAJWVJx468WC42qKFTqlT69AWetbB4HFiweEXBRGAgdbaUF2tFqVBaOu7QofI1YSymZpyYgS03t8DR1hErG62Es33sm0BZsypZq6BKlipi4fvIAzLIYCxG6EC4dWvg6VOA+g1osxYs5tKkkbMWvr7A27eqR8PiGQcWLN7cugX88Yfc1pqTWrMuXeSJm7t39a8LY19z4dkF9N3ZV2yPrz4ehVIXUj0kszTyu5Gh/T9uv76tejjMXFCPii1bAEdHYOXKb+rsbC1CoqpOQmV5U6eW2zxrYX77L5YsvEUZU2n4cCA4GKhdGyhfXvVo1KOmoNQ0j9KiKNCimfUIFd0YC8cv0A8eaz3gH+yPujnrokupLqqHZLZonUXtHLXx761/MfzAcCypv0T1kJipu3CBuprJ7fHjqbWy6hGZJOrfQJ2qHz9+jJQpU4qfKQUxHDc34NkzgLpZ0+xP0qSqhssiSbWlBoAvXrwQ+5H2X1xwHwsWL65cAagxJf11nToly8wyuYg9Rw5ZIGPaNKCr7HHGWKQ6bemE2admI41rGlzocIH7MMTRqcenUHJ+SVGi93Kny8iTIo/qITFTRWk7JUvKL7O6dYF//rHeRYIxQAemT548ER2fo0SLtykVimYwtAZ6zGQ4OzuLJoGRBRaxOQ7nwILFi59/lqVVqWfF+vWqR2Na5syR6/9oZvjOHZ5ZZ5HbeG0j6q+STV92NN+B6tmrqx6SRaCGedQ4r3H+xvjrx79UD4eZqk6dgNmz5foAmrnQyqayKNHhZFBQEIIpVSEyVBmqWjXgzRtg9GigYUNjD5FFgbqD29nZfTnT9BkHFkypc+eAokXlyYjz54GCBVWPyPR6LFET0nv3gHHj9DPtjGke+TxC4TmF8crvFfqU7YPxNcarHpLFuPjsonhtddDhfIfzvGaFfWnjRn0n1+3bgRo1VI/IckycCPTpA2TOLLuYxzHthhkHd95mSlGvBtK4MQcVkaHPUe01oo7k3JCUhRUcEiz6VVBQUSxtMYyqOkr1kCxKwdQF0bhAY7HtuddT9XCYqaE81V9/ldvUgIiDCsOi6XrqbUG16BcuVD0aFg84sGAGdeIEsGmTrCxHZVVZ5Jo3B3LlAl69AqZMUT0aZkomHJmAPXf3iJKyVFrWwZbP6BnaUPehYp3FxusbcfLRSdXDYaaCUnhatABevwaKFZPpOsywKPeXOphr9ehpMTezKBxYMIMaMkR/4EzpPixytHZNC7xoZphSThk78egEBu8dLLan156OXMlzqR6SRcqdIjdaFGohtj338awFg77y09698uCXSstymk78aNsWyJhRlp7VOugyi8GBBTOYgweBHTvkQbOW6sOiRqliVDmLCmVMmqR6NEy19/7v0XRtUwSFBOHn/D+jdZHWqodk0TzdPWGXwA7bbm3DofuHVA+HmcJ0u3ZmbPp0OaXM4gf1BPH8HNB7ewMfPqgeETMgDiyYQVAJgMHyRCvatAGyZVM9ItNH6WLU64NQOtSLF6pHxFTq8m8X3H5zG5ncMmHu/+ZGWZ2DGUa2pNnwaxGZSz9k7+cDSmadaKFb06ZAUJAsaUidtln8atUKyJ4deP5cNiFkFoMDC2YQu3cDBw7ImWMtfZJ9HRUeoVReOmFDFaKYdVpxcQWWnl8q8v6XN1yOJE5JVA/JKgyuNFisYdl3b59Y18KsVJcuwO3bQKZMMjWHg/r4Z2+vzwemLz+aumcWgQMLZpDZCm0GuUMHmTrJYoa+v6gLN5k5E3jyRPWImLHdfXMXHbd0FNtDKg1BhUwVVA/JamR0y4gOxTuI7cF7Bos6/MzKrFgBLF0qp5CXLweScFBvNB4eQN68cpEhVzGxGBxYsDjbuhU4dgxImBAYMED1aMxP7dpA2bKyOAalmzLrQespmq5rCh9/H5TPWF6cQWfGNaDiACS0S4ijD49i682tqofDjOnuXVn+lNDZsQoc1BuVrS0wbJi+igmVSWRmjwMLFichIfrZiq5dZZNSFvtZC6q6R2gW/v591SNixjJs3zAce3gMbo5uIgWKFhMz40rjmgZdSnUJrRDFsxZWgtZTNGtGnb+A8uX1iwSZcTVqBBQuLNe5TJigejTMADiwYHGyfj1w9izg6sodpOPiu++AypVlV24tyGCWbf+9/Rh1UDa/m/O/OcicJLPqIVmtfuX7wdXBFWeenMGGaxtUD4cZA1XOOHoUcHOTKVBUzpCprWIybZpczM3MGgcWLE69hLSysj17AilSqB6RedPWWvzxh1xHyCzXa7/XaL6+OXTQ4Zciv6BJgSaqh2TVUjinQM8yPUMrRFH3c2bBqNLIqFH6aeLMHNQrVa8eULIk4OsLjBmjejQsjjiwYN9s1Srg8mW51q1XL9WjMX+U3lurlpyh107gMMtDqTbt/mmHhz4PkTNZTtEIj6nXq2wvUY3r8ovLWH15terhsPhCC4UpBYryeKmsLDUUYqaTDzxrFvDokeoRMWMHFjNnzkSWLFng5OSE0qVL4wQ1lonG27dv0blzZ6RNmxaOjo7IlSsXttKKX2a26OBXqxRHKVBcSMOwsxbLlgHXrqkeDYsPC88uxLqr62CfwB4rGq0QKThMPQoq+pTtI7aH7h8qFtYzC0PrZ9q1Ax4+BHLmlKk3zDRUrw5UrAj4++tnk5h1BBarVq1Cr1694OXlhTNnzqBw4cKoWbMmnkeRFxcQEIDq1avj3r17+Pvvv3H9+nXMnz8f6dOnN8T4mSJ//gncvCnTn7p1Uz0ay1GiBPDDD/Jkmha4Mctx7eU1dN/WXWyP+m4USqQroXpILIxupbuJtKgbr25g2YVlqofDDG3hQmDtWtlDYeVKuTiQmV7t9QULgHv3VI+IGSuwmDRpEtq1a4fWrVsjX758mDNnDpydnbFo0aJIb0/Xv379Ghs2bED58uXFTIe7u7sISJh5ogXGWqpO//782Wxo2mtLqWbnz6seDTMU/yB/eKz1gG+gL6plq4be5XqrHhKLIJFjIvQv319sD9s/DAHBAaqHxAyFpoC7y6BenBEvXlz1iFhE7u5AtWpAYKA+yGCWHVjQ7MPp06dRjXa89gAJEoifj1J1hUhs2rQJZcuWFalQqVOnRoECBTB69GgE08rfKPj7+8PHxyfchZnWSR86mUClZbUS4MxwChXSp/1qi+OZ+Ru4eyDOPT0nzogvrS+7bDPT07FkR1GC9t7be1h0NvITZszMUHoNNWOjxcF0/NKbg3qTpQUUS5bItAhmdmL1zfby5UsREFCAEBb9/PTp00jvc+fOHZECRfejdRVDhgzBxIkTMTKampre3t5wc3MLvWTkVs4mg5q4abuOyn47O6sekWWiNCiqwrdxI3DqlOrRsLjadmsbJh2bJLYXfb8IaROlVT0kFgVne2cMqjhIbI88MBKfgj6pHhKLK+rceu6czN3Vumwz01SmDFC3riw7qTXPY2Yl3t9dISEhSJUqFebNm4fixYujcePGGDRokEihisqAAQPw7t270MuDBw/ie5gshqgy3+PHAMV6bduqHo3lypMHaN5cbmsNCJl5evbhGVptaCW2u5Tsgnq566keEvuKdsXaIWPijHj0/hHmnpqrejgsLrZtAyZPltuUsp2Wg3qzyQdesUKWnmSWG1ikSJECtra2ePbsWbjr6ec0UbRcpkpQVAWK7qfJmzevmOGg1KrIUOWoxIkTh7sw9T58oNkkue3pSftJ9YgsG73G1LOJvhcPHVI9GvYtQnQhaL2xNZ5/fI4CqQpgXPVxqofEYsDRzhGe7p5ie/Sh0fgY8FH1kNi3oGOVVjKoR+fOsl8CM33FismO3FTFi/OBLTuwcHBwELMOu3fvDjcjQT/TOorI0ILtW7duidtpbty4IQIOejxmPmbMkE0xs2fXf1az+EOv86+/6tPO6DOWmZfpx6fj31v/wsnOCSsbrURC+4Sqh8RiqFXhVsiWNJsICmecmKF6OCy26Jjjl1/kl1aBAsD48apHxGKD0qCoUhRV8Tp7VvVoWHymQlGpWSoXu2TJEly9ehUdO3bEx48fRZUo0rJlS5HKpKHfU1Wo7t27i4Biy5YtYvE2LeZm5uPdO2Dc55OtdAKBqvWx+EcBBcXf+/cDe/aoHg2LjfNPz6Pfrn5ie2KNiWLGgpkPe1t7DHWXNZ/HHRkHH38uImJWpk+X071OTrK0bEIO6s1K/vxywb02fc8sN7CgNRITJkyAp6cnihQpgnPnzmHbtm2hC7rv37+PJ0+ehN6eFl5v374dJ0+eRKFChdCtWzcRZPSnOqXMbEyZIhuWUu5/06aqR2M9aC3Lb7/p11rwrIV5oJKyTdY2EeVKv8/9PTqW4PJp5qhpwabIkyIPXvu9xpRjU1QPh8UULdTuJ4N6TJwoZyyYeVYxoTT6zZuBY8dUj4bFkI1OZ/qHKlRulqpD0UJuXm9hfK9eAdmy0X4AVq8GfvpJ9YisC8XplBZFFbm2bAHq1FE9IvY1HTZ3wNzTc5HWNS0udLwgSswy87T68mo0/rsxEjsmxt3ud5EsYTLVQ2LRoZKy1KOC+lZ8/z2wYYNMqWHmifKB//hDlgneuVP1aKyWTyyOw7nmGvuqCRNkUEE9DWk9FTMuKmLSpYvc5rUWpm/d1XUiqLCBDf5s8CcHFWbux3w/olDqQiIVasKRCaqHw76mZ08ZVNAHJzVd4qDCvFEaFOVe79olc4KZyePAgn21qMa0afoKcFz+Ww2a1acO57SGbf161aNhUXno8xBtN8k6zP3K90PVbFVVD4nFETUyHFFFNu2aenyqWMzNTNS6dcC8eTKY+PNP2beCmbcsWfS17Tkf2CzwYSKL1pgxcma5ZEmu1KcSfT/26KE/gRNN43qmSHBIMFqsb4E3n96gRLoSGF7lcy12Zvbq5aqHkulKirUzYw+NVT0cFpmHD/UHoHQmpioH9RZj0CBZ3/7gQU6HMgMcWLAoPXoEzJ4tt6nbNs8oq9W7N5AkiewXRGtdmGkZe3gs9t3bBxd7F6xouAIOtlxO21LY2Nhg5HcjxfasU7PwyOeR6iGxsOhMC3UUpQojJUroG6wxy5A+PdCpk9zmfGCTx4EFi9KoUYC/P1ChAlC9uurRMAoqKLjQSv4GBakeEdMcf3gcnntlScSZdWYiZ/KcqofEDKx6tuqokKkCPgV9wuiDo1UPh4U1dqzMv3dxkaVluUeW5aFKos7OwMmTwD//qB4NiwYHFixSd+8CCxbI7REjeLbCVHTvLtOibt6UKcRMPVrU67HWA8G6YDQp0AQtC7dUPSQWX7MWVeSsxfwz83Hv7T3VQ2KEypBqfQ5mzgRy5FA9IhYfUqUCunWT27S/wzRdZqaFAwsWKQomAgNlhbfKlVWPhmkSJQJ+/13fmDQgQPWIWOetnXH37V1kSZIFc+rOEQegzDK5Z3FHtWzVEBgSiBH75YJuphCVK6TGSpQKRc3UWnJQb9H69gWo1On587IjNzNJHFiwL9y4ASxdqg8wmGmhVNM0aYD//gMWLVI9Guu27MIycbG1scXyhsvh5uSmekgsnmkVopacX4Kbr26qHo5169xZTq9T5SBaEMhBvWVLlgzo1UufD8xVTEwSBxbsC3QmnN6vdesCZcqoHg2LiNJMBw7UB37UOI8Z3+3Xt9Fpi1xQ6OXuhXIZy6keEjOCMhnKoG7OuiL1bdj+YaqHY72WLZMX6sy8fDngxkG9VaDyiEmTAlevyvU0zORwYMHCuXRJ/17lwhqmq317IGNG4PFjYO5c1aOxPoHBgWi6rineB7xHxUwVMbDi50iPWQWtlPCKiytw+fll1cOxPrdv66sE0ZnrchzUWw0KIKmcMBk6VOZsM5PCgQULh96nVMmNOmwXK6Z6NCwqVNKbegURb2/g40fVI7IuQ/cNxYlHJ5DEKQmWNVwG2wS2qofEjKhY2mJolLcRdNDBa5+X6uFYFzqQbNYMeP8eqFhRP33LrEfXrnIxNwWYS5aoHg2LgAMLFurMGbkeitJUKR2KmbZffgGyZQOePwdmzFA9Guux9+5eeB/yFtvz681HJrdMqofEFBhWeRhsYIO1V9fi7JOzqodjXWe/jh+X9be1VChmXais8IAB+tQKqovPTAYHFiyUVrGPimzkz696NOxr7O3ldywZN04WSGHx65XvK9Fdm85UtynaBj/m+1H1kJgi+VPlh0dBD7Htue/zhyeLX/v2ySlaMn8+kImDeqvVoQOQLh3w4IH8W2AmgwMLFloKfMsWefKHUlaZeaAgME8e4PVrYMoU1aOxbDqdDu3+aYdH7x8hV/JcmFprquohMcVo0T5VBNt8YzOOPTymejiWjT7kqLs25eq2aQP8yEG9VXNykl24tW6+vr6qR8Q+48CCCVq+fqtWQE5uGmw2KBDU0tYmTpTfvSx+zDs9D+uvrYd9AnusbLQSLg4uqofEFKMAs1XhVmJ7yN7PH6LM8CiYaNsWePQIyJULmMpBPYMMMDNnBp4+leWGmUngwIJh/35g1y6ZWqMFGMx80Im7QoVkKtSECapHY5muvLiCntt7im3vqt5i8S5jZIj7EBFs7rqzC/vv7Vc9HMs0bx6wfr38kqKyhZRjz5iDgz6He8wYuaCfKceBhZWjE0FaMNGunewzxMxLggT6RobTpsnF3MxwPgV9gsdaD/gF+aFG9hroWVYGGIwR6rjetljb0FkLSpljBnTlCtDz83uO1ldwuUIWFnVbz5EDePkSmD5d9WgYBxZs507g4EFZvpSr9pmvevWAkiVl2Vk6ccMMp/+u/rjw7AJSOqfEkvpLkMCGPzZZeIMqDoKjrSMO3j+IHbd3qB6O5fj0SS4koy6gNWroAwzGNHZ2+nzg8eOBt29Vj8jq8TekFaMTa9rap44dgfTpVY+IfSsqEazNWlCqKaUis7jbenMrph6X+dyL6y9GGtc0qofETFD6xOnRqaRs2MazFgbUvz9w/jyQMqXsV0DTs4xF1LixLGVJQcWkSapHY/X4XWrF/vkHOHkScHbWl4Rm5otO6FWoIE/yjR6tejTm7+mHp/hlwy9iu1upbqiTs47qITET1r9CfzjbO+Pk45OiShSLo61b9Yu0Fy8G0nBQz2JQxWTyZJkWxZThwMJKhYTo1zx16yabWDLLmbWgst7//ad6ROYrRBeCVhta4YXvCxRKXQhjq49VPSRm4lK5pBIBqDZrQX9D7BtRlR/qAKp9QdXhoJ59RYMGQNGiwIcPMiWKKcOBhZWiDts0w5w4MdC3r+rRMEOpXBmoWhUIDNQHGSz2phybInLlE9olFKVlneycVA+JmYG+5fsisWNinH92HmuvrFU9HPM960V1z1+8kOXuxnJQz2JZxYQWcVNwypTgwMIKBQfrZyt69QKSJVM9ImZI2mcrZQ/cvKl6NObn7JOzYsE2mVxzMvKlzKd6SMxMJEuYDD3LyAXGXvu8EBwSrHpI5oc6fe7YASRMKEvLUiM0xmKCZrZKl5aL/bUO7czoOLCwQitWANeuAUmTAj16qB4NM7SyZeXnKwWQWtopi5mPAR9FadnAkEDUz1Mf7Yu3Vz0kZmYosEjqlBRXX17FyksrVQ/HvJw9Kxdsa7ny+TioZ7HMBx45Um7PmQM8eKB6RFaJAwsrQyky2sFmv36Am5vqEbH4MHy4PoikMvAsZnps64Hrr64jXaJ0WFBvAWzoi4qxWHBzckO/8v3E9tB9QxEYHKh6SOaBamV7eMgvqfr1gfYc1LNvQLnA7u5AQAAwapTq0VglDiysDFXsu31bLtbu2lX1aFh8KV4caNhQlhT28lI9GvPw95W/seDsAtjABssaLENy5+Sqh8TMVNdSXcVi7ttvbmPp+aWqh2MeaPr8+nVZ93zBAnn2mbG4zFosXAjcuaN6RFaHAwsr4u+vP5NNs80uLqpHxOITzUzRZ+zff8sMAxa1++/uo90/7ULLhlbJWkX1kJgZc3FwQf/yMqVn+IHh8A/yVz0k00YfUlow8eefQHIO6lkcUN11qr8eFKQ/6GFGw4GFFaESpJRymC4d0KGD6tGw+FagANCkidzWFuuzL9EC2+brmuPtp7colb4UhlXmhSks7jqU6CBS6ihoXXBmgerhmK7794F27fRnvKpwUM8MWMWEAlWaCWNGw4GFlfD11acbUrdtKrjBLN/QobIK3+bNwPHjqkdjmkYfHI2D9w/C1cEVKxqugL2tveohMQuQ0D4hBlccLLZHHRwFv0A/1UMyPVRhonlz2TG5VCmuNsEMh/6evv9eli+mL0JmNBxYWInZs2VZ58yZgTZtVI+GGUuuXLIkPBkyRPVoTM+RB0cwbL88mJlVZxayJ8uuekjMgrQp1gaZ3TLjyYcnmH1qturhmJ7Ro4GDBwFXV1lpwp6DemZAWhrUX38BFy+qHo3V4MDCCrx/D4wZo0+JcXBQPSJmTBRQ2NkBO3cC+/erHo3pePfpHZqta4ZgXTCaFWyGFoVbqB4SszAOtg7wdJd5iN6HvPEh4IPqIZmOI0f0MxSzZgHZOahnBla4MPDTT3Kbq5gYDQcWVmDaNODlSyBHDqBlS9WjYcaWNSvQtq0+yKBKUdZOp9Ohw5YOuPf2HrImyYpZdWepHhKzUC0Lt0TOZDnx0vclph2fpno4puHdO6BZM5kK1bSpTIdiLD5Q8Er5wOvXA6dPqx6NVfimwGLmzJnIkiULnJycULp0aZw4cSJG9/vrr79EXfj6VKOaGQWlrk6YoH9/0ZlrZn0GDQIcHWXWwa5dqkejHpUA/evSX7C1scWKRiuQ2DGx6iExC2WXwA5DK8sc7/FHxosiAVaNzmx07AjcuyfPetBsBZeWZfElb14ZxBLOBzbNwGLVqlXo1asXvLy8cObMGRQuXBg1a9bE8+fPo73fvXv30KdPH1SsWDEu42WxNGmSDC6ogWnjxqpHw1TJkEFfCYwW71vzrMWt17fQeWtnsU0HfGUylFE9JGbhGudvjPwp84ugYvLRybBqVKVn5UrA1hZYvpy7tLL4Rzng9Pf2778yBY+ZVmAxadIktGvXDq1bt0a+fPkwZ84cODs7Y9GiRVHeJzg4GM2aNcOwYcOQLVu2uI6ZxRClP02erF/DRO8rZr2okqOzM0ATjFQlyhoFBAfAY60HPgZ+hHtmdwyoMED1kJgVsE1gG1rGePKxySItyirdugV0lkG9qNRTtqzqETFrQHngrVvLbZ61MK3AIiAgAKdPn0a1atX0D5Aggfj56NGjUd5v+PDhSJUqFdpwOSKjGj8e+PABKFoUaNBA9WiYamnS6Lut0wkcqsJnbTz3euLU41NI6pQUfzb4UxzwMWYMDfI2QNE0RfE+4D3GHx4PqxMQAHh4yC+lSpWAARzUMyOigIIq1+zZIy/MNAKLly9fitmH1KlTh7uefn5KtUwjcejQISxcuBDzqTtbDPn7+8PHxyfchcUO7Y7p0/V9YmjtEmN9+wKJEgHnzgHr1sGq7L6zG+MOjxPb8+vNR0a3jKqHxKxIApsEGFFFNu2afmI6nn6I/DvTYtHZjFOngKRJgWXLeAqdGVemTED79nKbq5jEq3g93Hz//j1atGghgooUKVLE+H7e3t5wc3MLvWTMyAcAseXtDfj5AaVLA3XqqB4NMxXJkwM9e+q/56koizWg1JMW61tABx3aFWuHRvkaqR4Ss0J1ctYRa3r8gvww5tDnGuDWYPduYJwM6kEnGfk7nakwcCDg5CTXWWzbpno0FitWgQUFB7a2tnj27Fm46+nnNJRnEcHt27fFou169erBzs5OXJYuXYpNmzaJbfp9ZAYMGIB3796FXh48eBDbf5dVo5drzhy5PXIkF9xg4VFgQScNr16VfYOsobRsm01tRJOyPCnyYHJNK188y5ShqojarAU1zHvw7oF1LPZr0UKeIW7XDmjEQT1TJG1a/RofnrUwjcDCwcEBxYsXx246+/BZSEiI+LlsJIuw8uTJg4sXL+LcuXOhl++//x5VqlQR21HNRDg6OiJx4sThLizmRo2S6azu7kDVqqpHw0xNkiQyJUpbPxkYCIs259QcbLq+STQrW9loJVwcXFQPiVmxqlmrisIBVEhg5IGRsGh04EZrK588oQMCfTURxlT5/XfAxUX2tNi4UfVoLFKsU6Go1CylNi1ZsgRXr15Fx44d8fHjR1ElirRs2VLMOBDqc1GgQIFwlyRJkiBRokRimwIVZlh37gALF+rXVvBsBYsMLeJOmVIWaVm6FBbr0vNL6LWjl9geW20siqQponpIzMqFnbVYdG4R7ry5A4s1ezawaZNcNEslZumAjjGV6IuvRw/9rIU1VjExtcCicePGmDBhAjw9PVGkSBEx87Bt27bQBd3379/HEzo7wZSgsrJBQUCNGgC3DGFRcXWV5We1vxl/f1gcv0A/UVr2U9An1MpRC91Kd1M9JMaEipkrokb2GggKCcKIAzLIsDiXLgG9/9/efYBHUX1tAH+TQBJKCKH33kQg9KYUBSkiSvkrTUBEkSKCdGmRovSmIEWqUkUJ8NE7AtKr9CLSE3pCTd3vOXPZFKQkZHdnZ/b9Pc+S2WSze8PdmZ0z995zuqvtESOAkgzqyUnI+1Lqp8h7dPFivVtjOm4WmYDs5CQrlCzilvUWnBb1fKdOqUJ4EoDv3g2UL693i8iZyeL+/PnVLIVJk4COHWEqnVd1xsS9E5EpVSYcaX8EmVPHz2ZHpKc9V/agwvQKWrao4x2Po3CGwjCNx4/VB9DffwN16gArVzI1ITkXmdIhGUwKF1YBRrJkerfINOfh3NNNRObLS1Dx/vsMKujlUqRQVbiti/wl0DCLFadXaEGFmP3BbAYV5HTKZy+P9wu/j2hLNL7d+i1MRRZxSVCRKRMwezaDCnI+XbqoNIlyRVYqwJPNcG83CTmGL1oUO7WFKCFkXWXu3GrUQqZDm8G1e9fQZpla89W1QlfULVhX7yYRPdPg6upgvfDoQvwd/DdMYcUKYKIK6jFnjhS60rtFRP8lV91lIbcYNMj8WUwciIGFSQQEqAQcH34I+Pvr3RoyCi8vtX5NDB+uiuIamVz9bbW0lVa3wj+zP4bXdKFaAWQ4/ln88WHRD7XtgC0BMDy5QvEkkYu2QFamQRE5K0k9K4Hv+fPArFl6t8Y0GFiYgGRNCwxUo80SeBMlRqtWQIECwI0bsdXajWrszrHY8M8GpEiWQkst65XMS+8mEb3QoOqDtHUWgScDsf/qfhiWzMOVg4nUrZCrW3KlgsiZpUypiuZZ11zI2iBKMgYWJmC94tyiBfDaa3q3howmeXK1PkdIcdy7d2FIclLWd6P6kJhQZwJey8idgZyfvE9bFG+hbQ/Y/ORgbkRjxwIbNqjFW5JaVoZDiZxdu3ZAjhzA5cvAtGl6t8YUGFgY3I4dwOrVgIeHmg5F9CqaNlUZxSSoMGINq/vh97XUshHREWj0WiN8VvozvZtElGADqw2Eh5sHVp9djb8u/QVDDptbr/xOmMArXGQc3t6xV2e//x548EDvFhkeAwuDs+4PMq1VUocSvQoJTK3T6CSwkNkMRvLV6q9w5vYZ5EiTAz/X/1krQkZkFAXSFUCbkm2MOWohC7OaNVOLXxs1Aj5jUE8GIydQefMCwcEq9zolCQMLA9u0Cdi8WRU1tQYYRK9KzgmkhtW9e2pKlFEsOroIsw7NghvcMLfhXKRLkU7vJhEl2oBqA+Dp4YlN5zdpN0Ol7TxzRk0n+flnKS2ud4uIEj8f2DrlQz78QkP1bpGhMbAwKMkAZQ0mZIpgrlx6t4iMThb/y/o1Idkig4Lg9C7cvYAvVnyhbfer0g/V8lTTu0lErySXby60K90uZtTCALVrgd9+A2bOVMHE3LlAOgb1ZFCySFWK5d26pabz0StjYGFQa9YAf/2lpgdap7YSJVW9ekCFCqpYnrMndYmMjkSLJS0QEhaCijkqavPUiYysb5W+8E7mra2zWHtuLZzahQvqqpaQD6FqDOrJwKTytjWLyejRwO3berfIsBhYGHy0QtIwZ82qd4vILOTCo3XUQgrmXboEpzX0z6HYcWkHfDx9MK/RPCT3SK53k4iSJKtPVnQq10nb7r+pv/OOWkRGqiu8ISFAxYrMHELm8NFHQLFiairUmDF6t8awGFgY0LJlKglHqlSxhSOJbKVmTaBqVSA8HPjuOzil7Re3Y8ifKgKa8t4U5PPLp3eTiGyi9xu9kSp5Kuy/th/LTi2DU5IDg6Qk9PEB5s1Tc9SJzDQfWKZDSXEnSjQGFgasQWQdrZDCphkz6t0iMvOoxYwZqiipM7n7+K42BUqqbLcs0RLNizfXu0lENpMxVUZ0rdg1Zq2FvM+dyvbtwODBscOa+RjUk4l88AFQpoxKOztihN6tMSQGFgYja+WOHgV8fYHu3fVuDZmVjFjUqqVmPFjPIZyBTA2RxdoXQy5qoxST3mVqQDKf7pW6w9fLF0evH8XiY4vhNKTQjUyBkitcLVuqbSKzXlmT1LNXr+rdIsNhYGEgcpJnncoqQYWfn94tIjOzHlt/+QU4dQpOYfah2fjt2G9I5p4MCxovgI+Xj95NIrI5vxR+WnAhArYEaIkKdCfrPb74Arh4UY1SSOo4IjOqUweoXBl4/Nh55wM7MQYWBiLZ/E6fBtKnV6nDieypfHmgfn11cdJaPE9Pp2+dRufVnbXtwdUHo3z28no3ichuZDpU+hTpcerWKcw7Mk/v5gCzZ6shc8mes2ABkCaN3i0ist+oxdChaltqs0gGNEowBhYGIQtprVNSZME2j+nkCNb33MKFwN9/69eO8KhwNP+jOR5EPMBbed5Crzd66dcYIgeQ0Tjr+3zQ1kGIiIrQrzFyRatz59iDglx1IDKzt94C3n5bVZS3BhmUIAwsDGLWLLWINnNmlWKWyBGkEveHH6pZEHpmlJTUm5IlR6pq/9LwF3i4e+jXGCIHkdSzmVNlxvm757Xq8rpd1WrWTC1mlZOtXgzqycXmA8sJ2NmzerfGMBhYGIBM87O+v6UOUcqUereIXInUDJKR4cBAlebY0dafW49Rf43Stme8PwM50uRwfCOIdJDKM5VWNE9IeuXHkY8d34h+/YADB1RV7V9/BTwY1JOLkHUWdesCUVHOMR/YIBhYGMC0acCVK0COHLGFTokcpWjR2OQvAx1c3PrGgxtotbSVtv1FmS/QoEgDxzaASGftyrTTgunLoZcxbf80x774+vWqCrE193T27I59fSK9Wa/qSr2W48f1bo0hMLBwcjL6/P33alvqV3h7690ickUyDUouVK5aBfz1l+NSy7ZZ1gZB94NQNGNRjK091jEvTOREvJN5o3+V/tr299u+x8OIh455YSkO1koF9WjfHmjAoJ5ckNS0aNhQzQeW4Xt6KQYWTk7SKAcHA3nzAm3a6N0aclUFCsS+/6wFGu1t0t5JWHlmJbw8vLTUsimTcw4guaY2pdogb9q8CH4QjEl7HFC7RU6iZIcPClJDlmPG2P81iZyVTIOS+cCLFwOHDundGqfHwMKJhYYCI0fGXjFOnlzvFpEr699fvQc3bQI2b7bvax0JPoIe63po2yPfGYkSmUvY9wWJnJinhycCqqnsCSN2jEBoWKj9r2itXAl4eanUslzYR66seHGgSRO1rWcWE4NgYOHEJkwAbt0CChdmgVPSX+7csWt8ZNRCLmraw6OIR2j2RzOERYXh3YLvonP5J2kuiVxYixItUCh9Idx6dAsTdk2w3wtJXukeKqjXrmyVYFBPpE2DcncHli8H9uzRuzVOjYGFk7pzJ3b0WUbhpCYRkd4kK5ms89mxA1i71j6v0X1ddxy/cVxLsznrg1lwkyFoIhcn1eYHVVeZacbsHIM7j+7Y/kUePVKpZcPCgHffja1dQeTq5Aqvdc2Ro+YDGxQDCyclQUVIiBqBkzoCRM4gW7bYOir2GLVYdnIZJu+brG1LvYpMqTLZ9gWIDOyj1z9CsUzFEBIWogUXNicjFceOqYJJkrufQT1RLEmLKFd5160Dtm3TuzVOi4GFE5JkHOPHxxY5ldE3Imchld9TpQL27VOjwrZyJfQKPl3+qbbdvVJ31Mpfy3ZPTmQC7m7uGFx9sLY9ftd4LR2zzSxbBvz0k9r+5RcgE4N6ongki07btrGLDu01H9jgeMrqhEaMUGlmJcvZBx/o3Rqi+DJmBLp0iR21iI5O+nNGRUdp9SpuP7qN0llL4/saT3IsE1E8UstF9pEHEQ+0hdw2IYWSrCdM3bsDtRjUEz2TBBSS1ODPP4GNG/VujVNiYOFkrl1TCTmsdVk4Ek3OSGZM+PqqdZ6//5705xv912hsOr9JSyk7v9F8LQsOEf2XrDka+tbQmJTM1+5dS9oTypUBmTsumUJKlQK++842DSUyI6lULHVd7J3FxMAYWDgZKYb3+LGqJF+njt6tIXo2Pz+gW7fYaaeRka/+XHuu7EH/zaoA2I91f0ThDIVt1Eoic6pToA4q5aiEx5GPtaJ5STJqlMohLSllJbWsXI0loufr0wdIkQLYtUtVjaV4GFg4kQsXgKlT1fbQoRytIOfWtSuQLh1w6hQwf/6rPce9sHto/kdzREZH4sOiH6JNSVaBJErQqMXbatRi2oFpuBhy8dWeaO9eNbVD/PCDynxDRC+WJUtsxjRbzQc2EQYWTkSCiYgI4O23gbfe0rs1RC+WJo1ayG1N8S3v3cTqvLozzt05h1y+uTD1valMLUuUQG/nfRtv5XkL4VHhGPqnCjIS5d49lVpWhhsl9eCnKnECESVAr16Ajw9w8CAQGKh3a5wKAwsncfasyu5nXVtBZASSelaSx5w/H/v+TagFfy/AnMNztEw3cxvOhV8KP3s1k8iUhrylPixmHpyJs7fPJu6X5YrruXNArlxqqJxBPVHCpU+vhu2t84GjovRukbEDi0mTJiFPnjzw9vZGhQoVsOcFVQh//vlnVKlSBX5+ftqtZs2aL3y8q5K0svK+rFtXra8gMgJJOytF86wBsawPSojzd86j/Uq1AK5/lf6okruKHVtJZE5v5HpDW28RZYnC4K0qDW2CyFqKOXNULvO5c9WiKSJKHFlomDYtcPw4sGiR3q0xbmCxaNEidOvWDQEBAThw4AD8/f1Ru3ZtXL9+/ZmP37JlC5o1a4bNmzdj586dyJkzJ2rVqoUrkt6ONPKelGO74GgFGc0XXwDZswOXL8uFhJc/XtZTtFjSAqFhoaicszIGVGMVU6KkjlrM+3seTtw48fJfkOFFa1YbWV9RhUE90SuRoKJnT7UdEJC0LCYm4maxJC5XloxQlCtXDhMnTtTuR0dHa8FC586d0UdWyr9EVFSUNnIhv9/KWh79JUJDQ+Hr64uQkBCkkYndJvPRR8DixUDDhsCSJXq3hijxZCaFnKtIwd5//lEJZp5n4OaBGPLnEKTxSoPD7Q8jT9o8jmwqkek0XNQQS08u1SpzL/rfC66cyolP1arAzp1qaHzrVlVJmIhezf37qnDezZvAjBmmXauUmPPwRI1YhIeHY//+/dp0ppgncHfX7stoREI8fPgQERERSCfpZJ4jLCxM+yPi3szq0CEVVMj01kGD9G4N0atp0wbIkwcIDo4t3vssf174E99tU3nyZbE2gwqipBtUXX14/HbsNxwOOvziObfyWS1FaObNY1BBlFSpU6v0s9b9Kzwcri5RgcXNmze1EYfMclkyDrkfFBSUoOfo3bs3smXLFi84edqwYcO0yMh6kxERs5LRM9GkCVC8uN6tIXo1np6x7+Xhw1XCmafdeXQHHy/5GNGWaLT2b42mxZo6vJ1EZlQicwk0eb2Jtj1wy8BnP0gqBVuL302Zoq4EEFHSdegAZM2qagbMmAFX59CsUMOHD8fChQsRGBioLfx+nm+++UYbbrHeLl26BDOSNezLl6v1c5Kuk8jIPv4YKFRIFfCdMCH+z2TGZbsV7XAp9BIKpCugFcIjItv5tvq3Woa15aeWY++VvfF/eOcO0KKFyrf/ySdAUwb1RDYjc3+tWUyGDgUePYIrS1RgkSFDBnh4eCBY5jvEIfezSMGQFxg9erQWWKxbtw4lSpR44WO9vLy0OVxxb2YkdVWELDVhXSIyOplVYQ2QR49W5zJWMw7OwO/Hf0cy92SY32g+fLx8dGsnkRkVyVAELUu01LYHbI6TEEGWUbZrp7IrFCigCuERkW19/jkgs2uuXlUjgi4sUYGFp6cnypQpg40bN8Z8TxZvy/1KlSo99/dGjhyJIUOGYM2aNShbtmzSWmwS27YB69apkzFJgUxkBjKlr1gxICQEGDtWfe/kzZPosqaLtv3d29+hXPZy+jaSyKQGVhuoBe9rz63Ftgvb1Ddlasbvv6sPG0kzK0W9iMi2vLxiT+aGDVOLul1UoqdCSapZqU0xZ84cnDhxAh06dMCDBw/QRlZvalffW2lTmaxGjBiBAQMGYObMmVrtC1mLIbf7LvyfLheQJMufaNtWJRQgMgOZ1ifr18T48cDloDA0+6MZHkY8RI28NdCjcg+9m0hkWvn88uHTkp/GjFpYTpwAuqigXltfwQt7RPbTujWQPz9w4wbwJHOqK0p0ulkhqWJHjRqlBQglS5bEDz/8oKWhFdWrV9cCiNmzZ2v3ZfuCLGh5itTB+DaBCwvMlm52wwbgnXdUgCsVt3Pk0LtFRLYjRxQ5fzlwACjTtzv2e45F+hTpcaTDEWTzyaZ384hM7VLIJRT4sQAQFo6bS/LD5/g5oEYNNUQukT8R2c+vv6r57VJ0UmrGSAY2E0jMefgrBRaOZqbAQv63ZdbY7t3qQpJc1SUym1WrgHpd1gAf19XuL2+6HPUL19e7WUQu4avVXyH3kB/RfSdgSZ8ebkeOANkY1BPZXVSUmg988qRKlWiSzDx2q2NBtjnhkqBCkggkoJ4gkSGVrhKM5B+21raLP+7EoILIgQIeV9KCCrFvaEcGFUSO4uEROx943DiVJtHFMLBwIMn0Z80E9eWXwEsSaREZktSp+HR5G0R4XQeCi+HkD6Nw8aLerSJyEdevI32Hr7XNieWAL9xWaPskETlI48aAv79c5lcpEl0MAwsHCgwEDh5USTl69dK7NUT28ePuH7H67Gp4eXih7MUFiHiYQkvtTUQOmGsriVSCgxFZ9DUMei8VDgYdROCJQL1bRuQ63N2BIUPUtqR3fqpEg9kxsHDgtDtrJrKvvwbSp9e7RUS2dzjoMHptUFHzmFpjMK5PMW175kzg3DmdG0dkdnISI/Ntvb2RbNFvaP+mGrkI2BKAqOgovVtH5Dreew8oXx54+FCqQ8OVMLBwkEWLgOPHVaIACSyIzEZSyjb9oynCo8JRv1B9dCzXEW++CdSpowJr67RTIrKDw4djh8LHjNEWkHav3B1pvdPi2I1jWHRskd4tJHIdbm6xoxaTJwNXrsBVMLBwgMhIlRxA9OgBpE2rd4uIbK/b2m5aMbysqbNi5gcz4SYHVsQeW+fOBSStPhHZmFwVbdoUCA8H6tcHOnTQvi1BRY9KPWJGLSKjI3VuKJELeecdoEoVICxM1ZFxEQwsHOCXX1S9igwZgK++0rs1RLa35MQSTN0/FW5ww68Nf0WGlBlifiY1LRo0UMkLTJJ5j8i5dOum0ltmzarmHT4J6sVXFb7S9sezt8/il8O/6NpMIpfi5oaYBYbTp6u6Fi6AgYWdyQUk6xQQKUieOrXeLSKyrcuhl/HZ8s+07Z6Ve6JGvhr/ecygQerrb78BklKfiGxkyRJg6lR1EiPFueQKVhw+Xj7o84bKbT5462BtqiIROUjVqkDNmkBEROzwvckxsLCzGTMAKTwuF5KejE4TmYYsCG0Z2BJ3Ht9B2WxlMeTtZx84S5QAmjRR29YkBkSURJcvA5+poB49e6oK28/QoVwHbYrihZALmHFghmPbSOTqhgyJnb5y+jTMjoGFHT16FDsK1q8fkCKF3i0isq0RO0Zgy79bkCp5KsxvNB+eHp7PfaxMg5IsfMuWAXv3OrSZROYjGRE+/hi4c0fNN3zB1dCUyVOiX5V+2vbQbUPxKOKRAxtK5OIqVlRZomSfdYH5wAws7GjKFODqVSBXrtiLSkRmsfvybgzcrIYfJr07CQXTF3zh44sUAVq2VNvWQpFE9IpGjAC2bgVSpQLmzwc8nx/Ui89Kf4Zcvrlw9d5VTNk3xWHNJCLEzolfuBA4ehRmxsDCTu7fj01dLFM/vLz0bhGR7YSGhaL5kuaIskShabGmaOXfKkG/J/tCsmTA2rXA9u12byaROe3eHTuncOJEoOCLg3rhlcwLA6uq3xm+Yzjuh9+3dyuJyKpUKeB//1NFLE0+asHAwk7kWH/9OpA/P9AqYedcRIbRaVUn/HPnH+T2zY0p9abEpJZ9mXz5gE8/Vdv9+6tjLBElQmgo0KyZmlYhC5dat07wr8oFgPx++XH9wXVM3DPRrs0koqdIQCGflX/8ARw4ALNiYGEHISHAyJGx76PkyfVuEZHtzD0yV7u5u7ljfuP58PX2TdTvS0AhszZkFsemTXZrJpE5deqk0lbmzq3m2yYwqBfJPZLj2+rqaunIHSMR8jjEjg0lonhefx1o3tz0WUwYWNjBuHFqPd1rr6kLS0RmIaMUHVd21LYDqgWgcs7KiX6OnDmB9u3VNkctiBJBqkzKTbIgyLqKV6i22qxYM7yW4TUtk9u4XePs0kwieg6pluzhAaxcCezcCTNiYGFjt26pwMK6VkfeP0RmEBEVgeZ/NMe98HuokqtKTJaZVyE1XSRL2q5dwOrVNm0mkTmdOwd07Bh7clI58UG98HD3wKDqqrCMBBa3Ht6yZSuJ6EVkPZR1+qJJRy0YWNjY6NFqCqy/P9Cokd6tIbKdb7d8i91XdiOtd1rMbTRXO0F5VVmyAF9+qbY5akH0ElJcq0UL4N49oEoVlb88CRoXbQz/zP5aEoZRf42yWTOJKAEkLaLMkd+wAdiyBWbDwMKGgoOBH35Q25JSXEaricxAalUM2z5M2/65/s9a2sqk6tVLVaI/eBAIDLRBI4nMShbrSSYomfokU6GSOBQu66OGvKXqXvy450cE3w+2UUOJ6KXy5AE+/zw2yDDZlTWe+tqQpJd9+BAoX17VQiEyA5kq8fGSj2GBBW1LtcX/iv7PJs+bIQPw9dexI8KS5IaIniJXNIepoB4//6wKI9nAe4XeQ/ns5fEw4qFW6JKIHKhvX1WHQPKur1sHM2FgYSOXLwOTJ6ttqbadiEQdRE7LYrHg8//7HFfuXUGh9IUwoc4Emz5/t27qIuyxY8CiRTZ9aiLju31bVdeWK5pt26o8+DYiKaKtoxY/7f0JV0Kv2Oy5ieglsmePXTNlsvnADCxs5PvvgbAwNf21Zk29W0NkG9P2T0PgyUAkd0+OBY0XIJVnKps+vwQVPXrEzvaIjLTp0xMZl5xoyHSJK1eAQoWACbYN6sU7+d7REjGERYXhu23f2fz5iegF+vQBUqYE9u0D/u//YBYMLGxAUopPn662OVpBZnH8xnF8vVbNVRpWYxhKZy1tl9f56is1LerMGeDXX+3yEkTGI9OelixRizwXLABS2Taot45aDH17qLY9/cB0/Hv3X5u/BhE9R6ZM6gPQutYiOhpmwMDCBmShtiTteOcdoGpVvVtDlHSPIx+j2R/N8CjykXZV8+tKTxZD2IGPj7pwIwYNAsLD7fZSRMZw/DjQtavalvUVpe0T1IuquauiZr6aiIiOwJCtamoUETlIz55AmjTAkSPA4sUwAwYWSXT6NDBnTmyAQWQGfTb0wZHgI8iYMiN+afiLlkXGnjp0UCloL1wAZsyw60sRObfHj1V13kePgFq1YjMc2JF1rcWcw3Nw+tZpu78eET2RLp1abGidD2yCLCYMLJJIrrDK6JVkgapQQe/WECXdqjOrMGG3ms8964NZyJI6i91fU6aZWlPzy3RCOacickkyfHf4MJAxo7pq5YC85RVzVNSyREVZojBoqyqeR0QO0rUr4OcHnDwJzJ8Po2NgkQRHj6qpr9Yq20RGF3Q/CJ8s/UTb/qr8V6hXqJ7DXlvWqebMCVy9Ckyd6rCXJXIeq1bFLtKePVsN4znI4OrqQ2zB3wtw7Poxh70ukcvz9VWFnayjFjK33sAYWCRBQIBK3CEZAEuV0rs1REkTbYlG66WtcePhDZTIXAIj3nFsbntJ6S31LKzTyh88cOjLE+lfYbVNG7UtCzrffdehL18qayk0fq2xVq8mYEuAQ1+byOV17qwWc//zj7qoYGAMLF7RgQMqYYdkgJIAk8joxu8aj3Xn1sE7mbeWWla+Olrr1kC+fMD168DEiQ5/eSJ9yHxaefPLG79ECWCEPgXrBlUfBDe44Y8Tf+DgtYO6tIHIJaVKBXzzTeyCXalfYFAMLF6R9cqqrLF7/XW9W0OUNHISIQu2xbja41A0Y1Fd2iGZNa2BupxbhYTo0gwix5LpT2vXAt7ean6tfNXB65leR7PizbTtgVuefMgRkWO0bw9kywZcuqTSTRsUA4tXsHMnsHIl4OGhpkMRGdmD8AdaallJN9mgSAN8UeYLXdsjwXqRIsCdO8D48bo2hcj+Dh4EevdW2+PGAUX1CeqtAqoFwMPNAytOr8Cuy7t0bQuRS/H2VlW4xXffAQ8fwogYWCRhtOKTT4CCBfVuDVHSgormS5rj1K1TyO6THdPrT9eKZulJAnZrMoSxY4Hbt3VtDpH9SL5yWaQnizUbNAC+0DeoF4XSF0Jr/9ba9oDNA/RuDpFradsWyJ0bCAoCJk+GETGwSKQtW4ANG9SUDSmUSGRUl0Mvo8qsKlh+ajmSuyfH3EZzkT5lejiDxo3VVPPQUGD0aL1bQ2QHGzeqHOWyWDNPHmD6dLVozwkMqDZAOyZs+GcDtv67Ve/mELkOT8/YqTDDhwP37sElAotJkyYhT5488Pb2RoUKFbBnz54XPn7x4sUoUqSI9vjixYtjlaTUMyDJAGUNJiQ1pgSVREa0+/JulPu5HA4GHUSGlBmwqfUmVM9THc5CUvdbC07K9HNZ00pkGj/9BNSuDdy9C1SsqObXpneOoF7kSZsHn5X+LGbUwiIffkTkGC1bqukwN28CP/wA0wcWixYtQrdu3RAQEIADBw7A398ftWvXxvXnfPL/9ddfaNasGdq2bYuDBw+iQYMG2u2oFIEwmPXrge3b1TQ4azEvIqORPPXVZlfTalYUy1QMez/fizdzvQlnU78+UK6cmmYqF26IDC8yEvjyS6BTJ1Vh9+OPgc2bHVqvIqH6VekHLw8vbLu4Dev/Wa93c4hcR7JksVlMZMheLkAYiJslkZciZISiXLlymPgkF2R0dDRy5syJzp07o49UDH1KkyZN8ODBA6xYsSLmexUrVkTJkiUxZcqUBL1maGgofH19ERISgjRp0kAP8r8ko9Z79wJff63mfhMZrU5FwOYADN02VLtfv1B9zGs0Dz5ePnBW69apC7tS4+LcOSB7dr1bRPSKJBvBRx+pubTi++9VlW0nmf70LN3WdsO4XeNQLls57P5st+7rr4hcRlQU4O8PHDumpsroXIU5MefhyRLzxOHh4di/fz++seba1aYsuKNmzZrYKUO5zyDflxGOuGSEY+nSpTCSud36oWTwBZTNB9RxA/7kiAUZzNHrxxAcdAifyz6YvxYahrwL9zlPSsc7qXcswIgCwNmzwLJ6QLFiereIKPHcLNEovnEc0gafRoRXKmz6dC4upG8AOHlGyWxRfeDpNhV7r+5FvTH9kS4Z5/8SOUrZ8m+i67FjeDRyJFaWqob/NawBI0hUYHHz5k1ERUUhc+bM8b4v90+ePPnM3wkKCnrm4+X7zxMWFqbd4kZKetcuyr9oIlpee9IOjlaQAVWNd2/dk5tzk+ujvax3Dj+5ERnUReRE/bD/w5HJ/jCGTECNLkCVYVj94Hu9G0PkUublAqpmAUoHhSFyzLeAGQMLRxk2bBgGDRoEZyGBxcUiRXHb819tfZ0sLCUyGnc3D+T3y4d0KdLBaM6cYdpZMrbb3lmxqHAA8npnQV4YR4T7Nzh28ybCkjGDApGjja0QhG67TuF2BedJrmLTwCJDhgzw8PBAcHBwvO/L/SzPWXwm30/M44VMtYo7fUpGLGQdh57raJpu2qmts+AUUyLHY7kYMoO6MCJZgzVN70YQuSaLWgZd2kAnn4m69u7p6YkyZcpgo+TffkIWb8v9SpUqPfN35PtxHy/Wr1//3McLLy8vbXFI3JszMFC/EhEREZGRubkZ7uQz0VOhZCShdevWKFu2LMqXL4/x48drWZ/atGmj/bxVq1bInj27Np1JdOnSBdWqVcOYMWNQr149LFy4EPv27cO0abwCQkRERERkFokOLCR97I0bNzBw4EBtAbakjV2zZk3MAu2LFy9qmaKsKleujPnz56N///7o27cvChYsqGWEKsb0LkREREREppHoOhZ6cIY6FkREREREriY0EefhzG9ERERERERJxsCCiIiIiIiSjIEFERERERGZs0De06zLQPSuwE1ERERE5EpCn5x/J2RZtiECi3v37mlf9SySR0RERETkqu7du6ct4jZ8Vigpwnf16lX4+PjATadCIdbq35cuXWJmKgNi/xkb+8/Y2H/Gxv4zNvafcYU6Sd9JqCBBRbZs2eKVlDDsiIX8ETly5IAzcKZK4JR47D9jY/8ZG/vP2Nh/xsb+M640TtB3LxupsOLibSIiIiIiSjIGFkRERERElGQMLBLIy8sLAQEB2lcyHvafsbH/jI39Z2zsP2Nj/xmXlwH7zhCLt4mIiIiIyLlxxIKIiIiIiJKMgQURERERESUZAwsiIiIiIkoyBhZERERERJRkDCwSaNKkSciTJw+8vb1RoUIF7NmzR+8mubxvv/1Wq8Qe91akSJGYnz9+/BidOnVC+vTpkTp1ajRu3BjBwcHxnuPixYuoV68eUqZMiUyZMqFnz56IjIzU4a8xvz///BP169fXKndKXy1dujTezyWPxMCBA5E1a1akSJECNWvWxJkzZ+I95vbt22jRooVWKCht2rRo27Yt7t+/H+8xR44cQZUqVbR9VSqWjhw50iF/n6v33yeffPKf/bFOnTrxHsP+08ewYcNQrlw5+Pj4aMe5Bg0a4NSpU/EeY6vj5ZYtW1C6dGkti02BAgUwe/Zsh/yNrt5/1atX/8/+1759+3iPYf/pY/LkyShRokRMkbtKlSph9erV5t33JCsUvdjChQstnp6elpkzZ1qOHTtm+fzzzy1p06a1BAcH6900lxYQEGB5/fXXLdeuXYu53bhxI+bn7du3t+TMmdOyceNGy759+ywVK1a0VK5cOebnkZGRlmLFillq1qxpOXjwoGXVqlWWDBkyWL755hud/iJzk//ffv36WZYsWSKZ6CyBgYHxfj58+HCLr6+vZenSpZbDhw9b3n//fUvevHktjx49inlMnTp1LP7+/pZdu3ZZtm3bZilQoIClWbNmMT8PCQmxZM6c2dKiRQvL0aNHLQsWLLCkSJHCMnXqVIf+ra7Yf61bt9b6J+7+ePv27XiPYf/po3bt2pZZs2Zp/6eHDh2yvPvuu5ZcuXJZ7t+/b9Pj5T///GNJmTKlpVu3bpbjx49bfvzxR4uHh4dlzZo1Dv+bXa3/qlWrpp2bxN3/ZH+yYv/pZ/ny5ZaVK1daTp8+bTl16pSlb9++luTJk2v9acZ9j4FFApQvX97SqVOnmPtRUVGWbNmyWYYNG6Zru1ydBBZykvIsd+/e1XbcxYsXx3zvxIkT2gnRzp07tfuyc7q7u1uCgoJiHjN58mRLmjRpLGFhYQ74C1zX0yem0dHRlixZslhGjRoVrw+9vLy0k0shB0v5vb1798Y8ZvXq1RY3NzfLlStXtPs//fSTxc/PL17/9e7d21K4cGEH/WWu4XmBxQcffPDc32H/OY/r169rfbF161abHi979eqlXeyJq0mTJtqJMdmv/6yBRZcuXZ77O+w/5+Ln52eZPn26Kfc9ToV6ifDwcOzfv1+blmHl7u6u3d+5c6eubSNoU2Vkaka+fPm0KRYyXCikzyIiIuL1m0yTypUrV0y/ydfixYsjc+bMMY+pXbs2QkNDcezYMR3+Gtd1/vx5BAUFxesvX19fbdph3P6S6TNly5aNeYw8XvbH3bt3xzymatWq8PT0jNenMm3gzp07Dv2bXJEMxcswfeHChdGhQwfcunUr5mfsP+cREhKifU2XLp1Nj5fymLjPYX0MPyvt239W8+bNQ4YMGVCsWDF88803ePjwYczP2H/OISoqCgsXLsSDBw+0KVFm3PeSOfwVDebmzZvaGyFuhwq5f/LkSd3aRdBOOmUOoZzEXLt2DYMGDdLmZh89elQ7SZWTEzmRebrf5GdCvj6rX60/I8ex/n8/qz/i9pectMaVLFky7cM17mPy5s37n+ew/szPz8+uf4crk/UUjRo10v7/z507h759+6Ju3braB5uHhwf7z0lER0eja9eueOONN7QTUGGr4+XzHiMnQI8ePdLWTpHt+080b94cuXPn1i60yTql3r17awH5kiVLtJ+z//T1999/a4GErKeQdRSBgYEoWrQoDh06ZLp9j4EFGZactFjJwigJNOTA+ttvv/EASORgTZs2jdmWq2uyT+bPn18bxahRo4aubaNYskhULr5s375d76aQDfuvXbt28fY/SYIh+50E+bIfkr4KFy6sBREy2vT777+jdevW2Lp1K8yIU6FeQoYV5Wrb0yv05X6WLFl0axf9l0T8hQoVwtmzZ7W+kWlsd+/efW6/yddn9av1Z+Q41v/vF+1n8vX69evxfi5ZMSTTEPvU+cj0RDl+yv4o2H/6+/LLL7FixQps3rwZOXLkiPm+rY6Xz3uMZMLhxR779d+zyIU2EXf/Y//px9PTU8vUVKZMGS3Ll7+/PyZMmGDKfY+BRQLeDPJG2LhxY7yhSLkvw1rkPCRtpVydkSs10mfJkyeP128yLCxrMKz9Jl9leDLuyc769eu1HVGGKMlxZPqLHBjj9pcM4crc+7j9JQdfmZNqtWnTJm1/tH6IymMkLarMWY3bp3K1iNNoHOvy5cvaGgvZHwX7Tz+y3l5OSmX6hfyfPz3dzFbHS3lM3OewPoaflfbtv2eRq+Mi7v7H/nMe0dHRCAsLM+e+5/Dl4gZNNyvZaWbPnq1lNmnXrp2WbjbuCn1yvO7du1u2bNliOX/+vGXHjh1aKjZJwSYZM6wp3CQl36ZNm7QUbpUqVdJuT6dwq1WrlpbCT9KyZcyYkelm7eTevXtaqjy5yaFn7Nix2vaFCxdi0s3KfrVs2TLLkSNHtAxDz0o3W6pUKcvu3bst27dvtxQsWDBeulLJsCHpSlu2bKml8pN9V1LwMV2pfftPftajRw8ti4nsjxs2bLCULl1a65/Hjx/HPAf7Tx8dOnTQUjnL8TJuOtKHDx/GPMYWx0trysuePXtqmW0mTZrEdKUO6L+zZ89aBg8erPWb7H9yDM2XL5+latWqMc/B/tNPnz59tAxe0jfy2Sb3JRveunXrTLnvMbBIIMkJLB0v9Swk/azkYSd9SSq1rFmzan2SPXt27b4cYK3khLRjx45aWjfZ4Ro2bKgdjOP6999/LXXr1tVy5UtQIsFKRESEDn+N+W3evFk7IX36JmlKrSlnBwwYoJ1YSiBfo0YNLed3XLdu3dJORFOnTq2l2mvTpo12UhuX1MB48803teeQ94UELGTf/pMTHPnQkw87SZ2YO3duLaf+0xdf2H/6eFa/yU1qI9j6eCnvk5IlS2rHZTm5jfsaZJ/+u3jxohZEpEuXTttvpD6MnGDGrWMh2H/6+PTTT7VjovyfyjFSPtusQYUZ9z03+cfx4yRERERERGQmXGNBRERERERJxsCCiIiIiIiSjIEFERERERElGQMLIiIiIiJKMgYWRERERESUZAwsiIiIiIgoyRhYEBERERFRkjGwICIiIiKiJGNgQUREREREScbAgoiIiIiIkoyBBRERERERJRkDCyIiIiIiQlL9P+HK38JasW5ZAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import skfuzzy as fuzz\n", "import matplotlib.pyplot as plt\n", "\n", "# Определение диапазонов значений\n", "x_price = np.linspace(0, 30000, 100)\n", "x_mileage = np.linspace(0, 300000, 100)\n", "x_levy = np.linspace(0, 3000, 100)\n", "\n", "# Функции принадлежности для Price\n", "price_low = fuzz.trimf(x_price, [0, 5000, 10000])\n", "price_medium = fuzz.trimf(x_price, [8000, 15000, 20000])\n", "price_high = fuzz.trimf(x_price, [18000, 25000, 30000])\n", "\n", "# Функции принадлежности для Mileage\n", "mileage_low = fuzz.trimf(x_mileage, [0, 50000, 100000])\n", "mileage_medium = fuzz.trimf(x_mileage, [80000, 150000, 200000])\n", "mileage_high = fuzz.trimf(x_mileage, [180000, 250000, 300000])\n", "\n", "# Функции принадлежности для Levy\n", "levy_low = fuzz.trimf(x_levy, [0, 500, 1000])\n", "levy_medium = fuzz.trimf(x_levy, [800, 1500, 2000])\n", "levy_high = fuzz.trimf(x_levy, [1800, 2500, 3000])\n", "\n", "# Визуализация функций принадлежности\n", "fig, (ax0, ax1, ax2) = plt.subplots(nrows=3, figsize=(8, 9))\n", "\n", "ax0.plot(x_price, price_low, 'b', linewidth=1.5, label='Низкая')\n", "ax0.plot(x_price, price_medium, 'g', linewidth=1.5, label='Средняя')\n", "ax0.plot(x_price, price_high, 'r', linewidth=1.5, label='Высокая')\n", "ax0.set_title('Функции принадлежности для Price')\n", "ax0.legend()\n", "\n", "ax1.plot(x_mileage, mileage_low, 'b', linewidth=1.5, label='Низкий')\n", "ax1.plot(x_mileage, mileage_medium, 'g', linewidth=1.5, label='Средний')\n", "ax1.plot(x_mileage, mileage_high, 'r', linewidth=1.5, label='Высокий')\n", "ax1.set_title('Функции принадлежности для Mileage')\n", "ax1.legend()\n", "\n", "ax2.plot(x_levy, levy_low, 'b', linewidth=1.5, label='Низкий')\n", "ax2.plot(x_levy, levy_medium, 'g', linewidth=1.5, label='Средний')\n", "ax2.plot(x_levy, levy_high, 'r', linewidth=1.5, label='Высокий')\n", "ax2.set_title('Функции принадлежности для Levy')\n", "ax2.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Шаг 3: Формирование базы нечетких правил\n", "Создание правил:\n", "\n", "Правила связывают входные переменные (Price, Mileage) с выходной переменной (Levy).\n", "\n", "Пример правил:\n", "\n", "Если Price Низкая и Mileage Низкий, тогда Levy Низкий.\n", "\n", "Если Price Средняя и Mileage Средний, тогда Levy Средний.\n", "\n", "Если Price Высокая и Mileage Высокий, тогда Levy Высокий.\n", "\n", "Если Price Низкая и Mileage Высокий, тогда Levy Средний.\n", "\n", "Если Price Высокая и Mileage Низкий, тогда Levy Средний.\n", "\n", "Реализация правил в коде:\n", "\n", "Используем функции библиотеки skfuzzy для применения правил.\n", "\n", "Шаг 4: Оценка качества полученной нечеткой системы\n", "Создание тестовых данных:\n", "\n", "Подготовим несколько тестовых примеров с известными значениями Price, Mileage и Levy.\n", "\n", "Применение нечеткой системы:\n", "\n", "Для каждого тестового примера вычислим прогнозируемое значение Levy с помощью нечеткой системы.\n", "\n", "Вычисление метрик качества:\n", "\n", "Используем метрики:\n", "\n", "Средняя абсолютная ошибка (MAE): Среднее значение абсолютных разностей между фактическими и прогнозируемыми значениями.\n", "\n", "Среднеквадратичная ошибка (RMSE): Корень из среднего значения квадратов разностей." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Результаты оценки:\n", "Price | Mileage | Actual Levy | Inferred Levy\n", " 7000 | 60000 | 800 | 500.00\n", "12000 | 140000 | 1500 | 1424.50\n", "22000 | 240000 | 2500 | 2424.50\n", " 9000 | 220000 | 1200 | 1408.78\n", "\n", "Средняя абсолютная ошибка (MAE): 164.94\n", "Среднеквадратичная ошибка (RMSE): 190.39\n" ] } ], "source": [ "# Функция для нечеткого вывода\n", "def fuzzy_inference(price, mileage):\n", " # Определение степени принадлежности\n", " price_low_val = fuzz.interp_membership(x_price, price_low, price)\n", " price_medium_val = fuzz.interp_membership(x_price, price_medium, price)\n", " price_high_val = fuzz.interp_membership(x_price, price_high, price)\n", "\n", " mileage_low_val = fuzz.interp_membership(x_mileage, mileage_low, mileage)\n", " mileage_medium_val = fuzz.interp_membership(x_mileage, mileage_medium, mileage)\n", " mileage_high_val = fuzz.interp_membership(x_mileage, mileage_high, mileage)\n", "\n", " # Применение правил\n", " rule1 = np.fmin(price_low_val, mileage_low_val)\n", " rule2 = np.fmin(price_medium_val, mileage_medium_val)\n", " rule3 = np.fmin(price_high_val, mileage_high_val)\n", " rule4 = np.fmin(price_low_val, mileage_high_val)\n", " rule5 = np.fmin(price_high_val, mileage_low_val)\n", "\n", " # Агрегация правил\n", " levy_low_agg = np.fmin(rule1, levy_low)\n", " levy_medium_agg = np.fmax(np.fmin(rule2, levy_medium), np.fmin(rule4, levy_medium), np.fmin(rule5, levy_medium))\n", " levy_high_agg = np.fmin(rule3, levy_high)\n", "\n", " # Объединение агрегированных функций\n", " aggregated = np.fmax(levy_low_agg, np.fmax(levy_medium_agg, levy_high_agg))\n", "\n", " # Проверка, что aggregated не пустой\n", " if np.sum(aggregated) == 0:\n", " raise ValueError(\"Агрегированная функция принадлежности пуста. Проверьте входные данные и правила.\")\n", "\n", " # Дефуззификация\n", " levy_defuzz = fuzz.defuzz(x_levy, aggregated, 'centroid')\n", " return levy_defuzz\n", "\n", "# Тестовые данные\n", "test_data = [\n", " (7000, 60000, 800),\n", " (12000, 140000, 1500),\n", " (22000, 240000, 2500),\n", " (9000, 220000, 1200)\n", "]\n", "\n", "# Оценка системы\n", "results = []\n", "for price, mileage, actual_levy in test_data:\n", " try:\n", " inferred_levy = fuzzy_inference(price, mileage)\n", " results.append((price, mileage, actual_levy, inferred_levy))\n", " except ValueError as e:\n", " print(f\"Ошибка для price={price}, mileage={mileage}: {e}\")\n", "\n", "# Вывод результатов\n", "print(\"\\nРезультаты оценки:\")\n", "print(\"Price | Mileage | Actual Levy | Inferred Levy\")\n", "for price, mileage, actual_levy, inferred_levy in results:\n", " print(f\"{price:5} | {mileage:7} | {actual_levy:10} | {inferred_levy:.2f}\")\n", "\n", "# Вычисление метрик качества\n", "if results:\n", " actual_levys = [actual for _, _, actual, _ in results]\n", " inferred_levys = [inferred for _, _, _, inferred in results]\n", "\n", " mae = np.mean(np.abs(np.array(actual_levys) - np.array(inferred_levys)))\n", " rmse = np.sqrt(np.mean((np.array(actual_levys) - np.array(inferred_levys)) ** 2))\n", "\n", " print(f\"\\nСредняя абсолютная ошибка (MAE): {mae:.2f}\")\n", " print(f\"Среднеквадратичная ошибка (RMSE): {rmse:.2f}\")\n", "else:\n", " print(\"Нет результатов для оценки.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Оценка качества системы\n", "Точность прогноза:\n", "\n", "Для большинства тестовых данных прогнозируемые значения близки к фактическим.\n", "\n", "Например, для price=12000, mileage=140000 прогноз 1424.50 близок к фактическому значению 1500.\n", "\n", "Ошибки:\n", "\n", "Для price=7000, mileage=60000 прогноз 500.00 значительно ниже фактического значения 800.\n", "\n", "Для price=9000, mileage=220000 прогноз 1408.78 немного выше фактического значения 1200.\n", "\n", "Метрики качества:\n", "\n", "MAE (164.94): Средняя абсолютная ошибка показывает, что в среднем прогноз отклоняется от фактического значения на ~165 единиц.\n", "\n", "RMSE (190.39): Среднеквадратичная ошибка указывает на более крупные отклонения в некоторых случаях." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 2 }