{ "cells": [ { "cell_type": "markdown", "id": "05777c33-558f-48c0-a8b0-815783a74ac5", "metadata": {}, "source": [ "# Lorentzian fits" ] }, { "cell_type": "code", "execution_count": 1, "id": "85e3ab08", "metadata": {}, "outputs": [], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "2b25a31f-8a32-404f-8c8b-3d451ac8c015", "metadata": {}, "source": [ "## load a reference spectrum" ] }, { "cell_type": "code", "execution_count": 2, "id": "5d9b8074", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGdCAYAAAAMm0nCAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAACeaUlEQVR4nO2deZgU1bnG395nn2GbGUaGTRAEARUUUVGMXEHRGOM1EYnmJkSjgRg1GvXGhWiuJBqNazTGq5gEg8ao17igCAqi7IKssu8wbMMw+/RW94/uU32quqq7qtc6Nd/veXiY7q7pqa4+dc533m9zSJIkgSAIgiAIQiCc+T4BgiAIgiAIs5ABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcLjzfQLZIhwO48CBAygtLYXD4cj36RAEQRAEYQBJktDU1ISamho4nfo6i20NmAMHDqC2tjbfp0EQBEEQRArs3bsXvXr10n3dtgZMaWkpgMgFKCsry/PZEARBEARhhMbGRtTW1srruB62NWCY26isrIwMGIIgCIIQjGThHxTESxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABQxAEQRCEcJABIzgn2gJ4YeF27G9oy/epEARBEETOIANGcN76ah9+9+E3eHHh9nyfCkEQBEHkDDJgBKe5PQgAaIz+TxAEQRCdATJgBCcYlgAA/lA4z2dCEARBELmDDBjBCUUNmCAZMARBEEQnggwYwWEKTCAk5flMCIIgCCJ3kAEjOGGJGTCkwBAEQRCdBzJgBCcYVV78QTJgCIIgiM4DGTCCEwpHDBdSYAiCIIjOBBkwghOSKAaGIAiC6HyYNmD279+PH/zgB+jWrRsKCwsxbNgwrFy5EgAQCARw9913Y9iwYSguLkZNTQ1uuOEGHDhwQPEe9fX1mDJlCsrKylBRUYGpU6eiublZcczatWsxduxYFBQUoLa2Fo8++mgaH9O+hMIUA0MQBEF0PkwZMMePH8d5550Hj8eDDz/8EBs3bsTjjz+OLl26AABaW1vx1Vdf4f7778dXX32Ft956C5s3b8a3v/1txftMmTIFGzZswLx58/Dee+9h0aJFuOmmm+TXGxsbcckll6BPnz5YtWoVHnvsMcyYMQMvvvhiBj6yvZBjYMiAIQiCIDoRbjMH//73v0dtbS1eeeUV+bl+/frJP5eXl2PevHmK33n22Wdx9tlnY8+ePejduzc2bdqEuXPnYsWKFRg1ahQA4JlnnsFll12GP/zhD6ipqcHs2bPh9/vx8ssvw+v1YujQoVizZg2eeOIJhaFD8C4kMmAIgiCIzoMpBebdd9/FqFGjcM0116CyshJnnHEG/vKXvyT8nRMnTsDhcKCiogIAsGTJElRUVMjGCwCMHz8eTqcTy5Ytk4+54IIL4PV65WMmTJiAzZs34/jx45p/p6OjA42NjYp/nYFYITuKgSEIgiA6D6YMmB07duD555/HwIED8dFHH+GWW27BrbfeildffVXz+Pb2dtx9992YPHkyysrKAAB1dXWorKxUHOd2u9G1a1fU1dXJx1RVVSmOYY/ZMWpmzpyJ8vJy+V9tba2ZjyYsQYqBIQiC6JR09grspgyYcDiMM888E4888gjOOOMM3HTTTbjxxhvxwgsvxB0bCATwve99D5Ik4fnnn8/YCetx77334sSJE/K/vXv3Zv1vWoEQ1YEhCILodMzfdAhDHvgIb6/el+9TyRumDJiePXtiyJAhiudOPfVU7NmzR/EcM152796NefPmyeoLAFRXV+Pw4cOK44PBIOrr61FdXS0fc+jQIcUx7DE7Ro3P50NZWZniX2eA0qgJgiA6H1NfXQl/KIzbX/8636eSN0wZMOeddx42b96seG7Lli3o06eP/JgZL1u3bsUnn3yCbt26KY4fM2YMGhoasGrVKvm5BQsWIBwOY/To0fIxixYtQiAQkI+ZN28eBg0aJGc8icLhpna0+UNZe39KoyYIgiA6I6YMmNtvvx1Lly7FI488gm3btuG1117Diy++iGnTpgGIGC//+Z//iZUrV2L27NkIhUKoq6tDXV0d/H4/gIhiM3HiRNx4441Yvnw5vvjiC0yfPh3XXnstampqAADXXXcdvF4vpk6dig0bNuD111/HU089hTvuuCPDHz+71Lf4Mfb3n+L6/12Wtb/BYmCCYQnhMKkwROrc98463PL3VZAkGkcEQVgfU2nUZ511Ft5++23ce++9eOihh9CvXz88+eSTmDJlCoBIkbt3330XAHD66acrfvfTTz/FuHHjAACzZ8/G9OnTcfHFF8PpdOLqq6/G008/LR9bXl6Ojz/+GNOmTcPIkSPRvXt3PPDAA8KlUO873oqOYBjbjzQnPzhFeKMlEA7D53Rl7W8R9qUjGMLfl0ZcwduPNGNAZWncMWysOZ2OnJ4bQRCEFqYMGAC4/PLLcfnll2u+1rdvX0O7t65du+K1115LeMzw4cPx+eefmz09S9EeiLh1spniHAzHXEeBkASf6W+UIICG1pi7Nqih5IXDEq54djFcTgf+b9p5cDjIiCEIIr/QcpdF2gOR2JdA2Hh8yoJvDmHx1mO497LB8LiSe/hCvAITDAM+8+dJEPUtfvnn5vZg3OuHmtqx4UCktlJjWxDlRZ6cnRtBEJllb30rnl2wDSP7dMG2I824ffwpKPSKp96TAZNFOoLmFZgfz4r0lRpRW46OQBh9uhVhdP9uuseHVC4kgkiF460xA6ZJw4ChsBiCEJtAKIwfvLQMQ2rKsHRHPTYdbMTrKyPlRjwuB+6aMDjPZ2geMmCyCFNggmEJkiQlld35TKIvtx2TB9eu303S/R2FAZPEUAqEwoZUHaLzcbwl5kJqbA/Evc6PrCAZygQhHCt21mNZ9J+abYezF6eZTWg1yyLMgAGM1Wk50NAm/9zQ5k9wZIyg2oWkw8PvbcTpv/kYO4+2GHpfonNRzykwjRoKDB8srhUjQxCEtXEn2Lw6IGZMGxkwWaSdMyiC4TAON7bjjRV7FYYNz+5jrfLPRivrKhUY/d/538U70eIP4dUvd8nPbTnUhP98/kt8se2oob9F2AdJkrD1UJM8ZhpaeBdSvALDdzunmkPp88nGQ1i241i+T4PoRCQS30WNyScDJgus23cCf1u6Gx0qBeb7Ly7Fr/61Fo/O3az5e7uPxdSRDs6ASZTZxRswfp2Fhf/97iWxBpm3/mM1Vu4+jikvRerUbDvcjBW74uVFwn689dV+/McfF+Hmv0UKStYniYHh47iocWh61J1ox0/+uhLff3Fpvk+F6ER0JNgUOwW1YMiAyQJXPLsY97+zHm99tV9+LhAKy+6bD9cf1Pw9XoHhVRp+4H22+TCe+3SbbJQYiYE52hxbnHqUxtKU+MwTABj/xEJc88IS7OdcWYQ9+cvnOwAA87+JtPU4nkSB4VUXciGlx9HmDvlnUrOIXJFQ1RfTfiEDJptsPNgo/8zvWvUMjT31MQOGN1r4n//rlRV47KPNWLjlSOR9DbiQ9h2PvS/v6yzwxNLmeIOp7gQZMJ2N41wdGLUC8/7ag/jFnNXyYwriTQ8XVwiwTcedTBAAcKI1gH+u3Ku5qTBLIgVGVCgLKUcEDMQQtHI9k9oUCkwIgLLuRt2JdgAadWA04BUVPtW6wBOzXw83xnaFXpd49QAyweGmdvQo8XWKIm1hlVsyURr1tNe+UjwmF1LmaPeHUFZANXUIbaa99hUWbzuKzzYfwXNTztQ9buaHm7Bg02F43U707V6M566LPzaRAvP+2oMo9HyNx/5zuFDzHykwOcKIUsLHsDS2xRaRjkD88cxnaSQGZt/xmAHDH88rMIea2rn36Xy7woVbjuDs/5mP/357fb5PJWNsP9KMyS8uxZfb44O01V4gpQGTeLdHbo/04A1AUmCIRCyOJli8v0477IDx54U7sPVwMzYcaMT7aw9qxk0mSwx5c9U+hddABMiAyRGKGAKdHSx/DF+LQ0v6Y0Yybxix923pCKKlI2YA7ecMGN59xRswvAJjR6kxGX+ctwUA8I/le/J8Jplj+mursWTHMVz3l/hmorwCs+toC9r8se9cK4iXxy4xMPlqWslvNMiAIVIhmGQToRWmYGRe570AIkAGTI5QuJB0Ygj4Y/yKGJgQ1u5rwB2vr5GfYzIfvxAFQmF0BEMY/puPceFjn8q1O/hg3ZDChRQzYPTib+zMP1fuxeMfb4YkSSgvtJ+MfyBRMDY3v437w2eKwNKkBoyFXEjf1DVi1e7jpn/v/nfW48LHPstIbIFZ+Htbb8Fo7gjiv15ZjjdW7DX8vo98sAlTXlqadHEjxKbuRDvOfHhewmO01Hh/MLlxIpq6SjEwGSakszvlJ331xm/f8VY89tFmrN+vLd91BMP47p++VDzH4gD5ycofCmPb4WaEwhKONvvREQyj0OtS7PJ4y9zrivk6tx5uir1PJzFg7npzLQDg7H5dUcH19jFSNVkEeIVh08FGfL23Ad8/qxYOhyMuBoaHV/+0VAqtIF52XC6vWygsYeKTkYavax74DxT73Phi21GM6tsVJdGupux+dKk6aP9t6W4AwNur9+OGMX1zcr5vr96HN1bsw/fPqpWfa9cxYF79chc+23wEn20+gu9xxyfixUWRzLLPtx1FjxIfarsW2dIw7+z8edF2zWKTPH6Nvnh6IQY8VtqcGIEMmAyjt/gnytyY8MdFaEkg3a3d2xD3HJuQ1WnUh5u4FM1wGIVwKTKM9NKu+VLSncWAYazdd0IRSHm8NYCuxd4EvyEelz4VWeiLfW5cMaImLgaGp6k9KLedaNeIv9Ka5Ka+uhJHmjrwzrTz4oyFbHGQy5ZraA3gpc934tlPt+G8Ad0w+yfnIByWMOnpz+FyOvDv6efDqXFeufQi3f761wCAvVxWINtcqNt88C5gs2w80IjHPtqMbw2uxMv/dVbK70NYEyMKuZaSYmReFy3DkFxIGaZDR6bzB/VqtHQkNF4AYMa/N+q+pg4OPsLFsrCFhldgeMWGP9eth5q558UaxKnAl8bfc6xVcR0P6qSRS5KEvfWteYudyATr958AAEhI/BmORWsHtfrjF1L15ChJEhZ8cxjr9p/AphwGAfJuT38oLMcvfbEtUuH2SHMHvqlrwoYDjbpusXwIbSfaYgpXWyCEt77ah6EPfIRPNh6Sn/e5zWUC8mOSlU1I6EK0EUebO9AmWOxGOhgxRLSOMTKvayWMWBkyYDKM3iDRs2wXReu5mIXNV+oYmIMn2hWPASh20fxCzQ9y3sjpDAoML6fuOtaiqoPTrvUr+N/FOzH20U/x9ur9mq9bjUQmit5Gq3tJRHc+HM1K04rRUAfx8o8TuaYyAb9Q7+EKP7b5Q3HGCH8uevdfPhyFijow/hDueONr+ENh/OSvK+Xn+RIHem5pHv4YNgcZ+T3ROdbcgVG//QTn/X5Bvk8lZxgyYFJUYEQLKicDJsPoupB0fIt89V0zMONEbZDwu66YAcMpMBoTnRojwV6iw+80dh9rVezgDuoYMNuPRFSqLYfE7NzKo6UiuZ0O9CwvAAAciboitSY0fgydaAsogmizuWZuPNCIUb/9BH9bsguAUoFpC4Ti4m+UgfA6BkweJBi+bDt/b/Kn4nPHpuZmA+4kv0YCQGcwYNjYU1cVtzPZVGAoC6kTI0mSvgtJJ4CK94ebIRiWEA5LCh9+ICThwIn4lGllV2ztTCeezuBC6uBq3dQ1tisCV/UUGHY9tdwqlkRj/WJPaa1tPrdTbjXBDBhNBYYbQ9957gtcy/X0yeaiec9ba3GsxY/7/28DAGC3yoBRh7jwyiMb05vrmjDj3Q3y8/lwIfHnyV9fjzM2HfNXsbEteaZUIBi/MbFLunsi3FwiAht7b6/eh+/9eYkis85OGAnGTdWA0Ws0bFXIgMkQy3fWY+RvP8HrOmmPagWGxWDsqzfmp+Yl5cj7hRFS7aIDIaUCwxaaNp0gXr0boTO4kNS+Xn4Hp7fjZdezpUOsm1wLrRiYAo8LlVED5uH3NmLTwUZNY+1EWwBPzNuCNXsb5P5ejGy6kNST617OgGn3hxRtMgBljBcb0xOeXIRZXEd29e9kC97o41Uf/t7kXUv8PZgsrR1QGuTsOommwEiSZDq+zM0ZfWys3v7611i+sx6Pzv0mo+dnFYwEeKcaxMsb1BsOnMDMDzYpYrasBhkwGeL219egvsWPv3y+U/N1tQ+eTVxGFRgWm8AIhKS4CarVH8JermgdM1B49wifeaQXsGXEwhcd9W6Ev0n1Pn8gLJgCk4BkCkyLP4Tr/rJUMzjyN//eiKfnb8V3nvsi7rVs1pFQKwpHuIy75AqMttGZKwWGD9R36Rgwbu4D8OOzUadWDb/Y84sTM8BFyig50hSJZbnvndQrYas3FnxGpp0wYlBoGStG5nV+PE56ejH+vGgHzv6fT/DQvzdaMnmBDJgMkezLPdCgdEu0+kPoCIZQ16jtrlDTTWXAPPTeRjy7YJviuTV7jysGbjAUcTPxkyFfyE5vQHcGF5L6BudL6esVApMVGMH8xDxsnGqN1wKPS9Gt/HhrwLRPPJtjR61i8n9LKwaGN1p0Y2AyeH6J4I1eXjnl68C4XMYVmD3HWnHOzPn488LtAJQbk+bo8SIpMCt21eNYix+zl+3B5rqm5L8Qhb9OLaqNhWgZNTwdwZDumsLPVXpoze0dBtxDWhuWjmAYL3+xE498sEnOYrQKZMCY5LlPt2HKS0vx8YY6xfPFvsQldX6vkjNb/UEcaGg3XIeiR0l8XZJnP1UaMEt31CseRyrzKgdyUKHA6KV8i3vjG0W9I+d363rdwtm1a02jRke+Wb7rOFbuqtccd163E6UFynFsNj01m2NHvSDzLiWtLCSFAqOzmOVqiefVgXadpq28O0TZFy1+x/2bf2/AocYOzPwwMq9oKTDqcbzveKui3pOV4N1nf40GaRuBn99aVQqMnupmdY41d+Ds/5mP6f9Yrfl6Q6txBWbhliO46a8rcbS5w5gCk+B+/8vnO3H5M4uTvkcuoUJ2JtlyqAlfbDuGiwZVKp5PZsCoafWHcNxE5LzahWSEQEiKixsIJoiBKfBECpd1BgUm0WdM5kISWYH5em8D/vOFJSj2xtcZKfC4MLCyVH7sdBjLgOHJpgGjdk/x32F7IKTI7mHPxY7V3tHmKtCVj1vgjZY2zrBy68bAxC9YfPNVQHlt2HemNvjO//2nAICv7v8PyxVq5M9/v4n6NXzjWbUCI6or/PWVe3GiLYD31yobOEqSZHh+9ofCqG/x44cvLwcAjKitMBYDY0ClCYbCcLusoX1Y4ywEghkq6oldvXNNRqs/hPqoFFhqwPhJzYAJx6XBMr94OCzJO7Q3bx6Dey4djOkXDQDQORSYRJ8xoJsKH3lelBiYREuz1kTlcztx2knleOmGUQAicTJGXZyMbBq/yirSYcXjiAtJ/1y+2nMcZ2j0j8lV3yB+ceWNJl7Nc+nEwGi5kI63KI2ajiQxMLyBsOWQcRdNrjCSHakFr6ypg1tFciGt23cCT8zbgo5gSDdItyMYRkObsU1vIBTGXz7fIT9uaPUbSjVv84dwojWAxz7SD4A+bkAByhWkwJiE7VzVg8xtsnx6G6fAVJUXoCmJtNtdw4WUjGA4HK/ARI0WfncyuGcZRvXtipcXRwKQRZVezZBoodXblce6fYtxfRIF1Gq5kFhzz/FDqlBW4EZje1Cu6mqUbBq/iWoYtfnDCgUmEFKO/ec+3a79npybpb7Fjw/WHcS3T69RtJbIBHpj5jOukCWfEszfg1pBvOrFiL/u7LvlDTz+WhhJy841fBq4KQNGEQOjdiGJY8Bc//IyNLQG0NDqj1MSGR2BsOF6N/5gGB+siyk4esklatoCQfz+o2/w2rI9usccb/UrYuXyCSkwJmEKjPpm0eoZk4jmjiDqo7uo6rKCpMd3NzFgvFF5zx+UNBSYyETB705Y0Syfh/2eODd+qiQy0vQWftZFXAQFJlKTyNz3yBdPY0Hj+4+bK0efTeNXb0EGogoM97g9EDJU02LhliP4Otpr7CevrsB976zHr/65NhOnq0BvzPCfiT//ZEG86vtaa8wGFdcr9nqDFQ0YTi1KNG7DYUmuEh05NnYd1LFprf4QvvunL/DTv62E1WFxLX9dsls366wjGJJbfCRjw4HGlIqktvlDWLUrcXf3Y81+vLN6P0Y+PA8rdtUnPDbbkAFjEtblVq3AGPEd8jR3BOVo8upyAwaMCRdSkS+yk44oMMrJgE10rG6EwxFTj2TDR1DfsRkSGWnJqim3+kOKXkpWJJXdJ1NgAMgxEvtMGjC5ioGJV2CU92NbIGToGizedhRXPvcFQmEJX+1pAADMVQXoZwIjqh1/vvx1VGedaMXyaF13SYrVm+KNuSMWTC8O6Hx2NXNW7MXZ/zMfs77YGXes2q1/tLkDX+1pwEcbDmU1vT8T8HW+1LWVGO2BsOHifAu+OZzSebT6Q0njo463+nHb62twrMWPa15YktLfyRRkwJikWMeAaTcZ2NnUHpDlwJ4GDBgzknax1x39G8G4XWhIpcD43E45/dQb3YGL5Ds2wqtf7sJ7aw8onku0uC3bWY9fzFkdNyHyk6DVe4akUlGTd4OySeyYyRLtuYqB0VJg+L/dEQgbShtlZLvxoZHiYwoDhhtr6/c3KoyWJu69mLdBb4GWFdegxQ0YzpWXaAP1uw83AYg1uFVkISWYg63oNgNixujJPUrk51ZHDWk17SYUGBYIfVbfLnGv9e9erPt77YFQ0njOV7lCkPmGDBiTFEVjYD7ZdBgvfb5DHoCtAXNuhab2mAJTZcCFpK7Em4jiqAJz71vrcKsqFS8YkhQtD7xcNDlzIdhJgdl6qAkPvrsB019TXodki9v/rTmARz7YpHiOl+TVGQ9W4vOtR7BsZ3rSbrcUs1RyFgOjMrLbVNkZ7QYVGMa2I9lNLzYyXvgxyV/H/Q1tCiWMb3XBiuLp3bP/9cpyrNt3QqHEHm4yF5idCxQuJI17k82zI2or5Od2H2tRxcAEdWunWLGa7Dd1kd5es77YaahmT3sghKMtxoxPdhmG1pTHvfbb75yGK0+v0fy9Vn8o6VhVzy35bNlABoxJSriMod++vwlLth8DEAkiNAOvwBiJgfF54tNe9Sjyxs5RvYNuDQQx/omFuPLZL+Le1+eO/GynGBi9xoxGjLTFW4+iodUvT358xoq65oRVWLL9GK7/3+X46d9Wmf5dfgpNNc02VwHgagWsPVoYUn4ciA9gT8T2LNdH0VJg/ueq05TH+EN4fcUezfilJTuOyT/v4lwMwbCEoEa9J8aX24/himcXK67F4cb8KjBN7QF8sO6gskJ4UF+BaWwP4ILHPsX976xXuDmfXbBNYey0dAR1DQErGjD3v7Mex1r8mPHvjbKCNnZgd93j2wNhHG0yp4gOrSmLe65nRSGeuvYMzePbAiFDdWZ4VqS5WUoHMmBMoq73si8q1ZmV7Jvag3IWkpGIbj7AMhlMgdFi19FWbD/SIgch8wqM7EKyURYS/72EEuzgtdhT34qLH1+Iix9fiGAorJC5rarAPP7x5oy8Typp+0DujF+1e68tEFL87bZAyFRg/Q7OKMhGewGt2kEejVoad/9rHT5YVyd/llN7RhagpZwBs1VlbPlD4aQxHkoFJr8GzEuf78TPZn+Fvy/dLT+njm+SJAknogvp21/tx976Nvxt6W6F0fPPVfuw4UCj/Li1I6RbhNKKBgwPm5t+Nm6ArjrSEQzhmEEFhtFPw13kTbCWtPrNGzBma6BlEkqjNkmJ6styORyQJMl0ZkpTe1CuA6O32500vCfKCjy4ZEiVKQOGV2Biz7nQ6g/FTfz8+7KBbScFht+ZBkJhuJyuuOcTwRSs0Y/MV6hZVmw7Hw5LWLUncQZBInj53YhbU4tsxcCo67Woi7u1+oMaLqTUFBi9NNZU2HqoCde9tEwz7sSrUwxs/YET8j14wSndselgI5ZxVbbV1XRbOkLYU58440ShwOTZhXQoWlto17GY0ag2YO57Zz3mrNiLB68YomgQqp5neWOuxR/UVVaPNfsxb+MhnN2vK8oLM5sinyp85WVmeBV6XXjq2jPgdjrxr6/2KY5vD4QNx8AwtO5jvXEHRAwpFj9z2/iBePKTrQnf/4UfnIkLTulh6pwyCSkwJilSVTBtD4bgD4U1m+Ml4nBTu7wr6qJjwPQo8WHmd4fhosGVsnvHCFpVVtWGF4MvVOazoQHDT9yJqhADQGECN53aFWckKDPXtAdDhltTaMH/amWZtRQYdZYfSy1mgceNqlTjdpMKDB9jkkkBZumOY7pBsx6XE726FGo+z8bnmP7d4HY6sL+hDRsOnMD2I83YelhZiO6X//waf164I+59eNpV7rVQOL4ZbK5g9yS/GCuCeINhvL5iL0JhCQ/83wbsrY99N+qNA2/ItnSEdJWoGf/egBv/uhI/nrUiI58hE/B1f1jRQTaeywrj5+v2QAjHovEmz085E2f365r0b1SW+TD57FrFcx6XsRFuxDDRUhFzCRkwJlEbAo99tDlh0R89dh6N7Ji8LqemwQEoq/saHXRAxIpXU6ITWc5PCDEXkvYkIEkS7n1rLZ5dkNgqtxLtiuaWiQMFu5caj/uwogJjtm+RGt74qSq1lgKj/mxs4aooiuym1S6CtkBIsWgno1kjsycT8Nfj4sHK9iNetxN/vn4kTqkqUT7vcsiGYJciL4b3igRiTnp6MS5+fCHW729UHL+IK4anhzpma9GWIxg24yP8Y7n5uStdmGHJF2VTGx78ZmNPfUypYd8z22zwNliLP6hrwDCDd9Xu1BXKTMMv/syYZM9pZZ22BUI4GjX6hvUqxxs/HZPw/bsWe+Fzu/DIVcOw6aGJOH9Ad5zT37gCZSQ2M5E7KheQAWMStb+voTWA30RT+swYGSxyu0+3orguugzeENE7Ro3X7dS0ivUUGMXvuhIrMFsPN+Mfy/fiDx9vyVkJ9nTh64PwuzythbZbsXHVwYoKTCZTu1NVYHJnwESuf0VRxOhUj9lIGrXyuZsu6I/Hrxmh+f5mez4ZhV2Pa0b2wrkDlAGaHpcDQ2vK8fHtFyqeD0uxODSv2ynHwfC4nA5TrpB9qjTxH81agVZ/CPe+tc7we2QKZljyGTWJYnga22LfDVNtuhRpLPD+kCIY2OrwrSPY3OSSFZj4z7dg02FZmetSlHyzxdxHDocDhV4X/v6T0fjHjecYWktKfW7NTe9vvj1U8ZgUGMFI5GZI9JoeAypLdF8rMOE2Ynhd2gaMXkxD765F8s8sI6kjFMaWQ0248LFP8eaqmB+Wv+GOmvTF5ovmDt6FFF8sq4y7SfUCV7Xq9FixDozZatBq+Km/IIWxDGQvADzedRBZ1LQWMiCySKoVmK7FXoyojU8rBVQVcTMowbBx5nU749qN6MUitHTE4nm8bqfmuCwrcOsqt1rsTRIjk0uYYannQlJzhEvTZQt4hcYCHgiFhSoBwW942YaQPVemYTzwBRaNrDXVGpsQo2O7vMiDIo2/0U3V0oYUGMFwJuh5VOh14R83noOBCYwSNepj+UnOZ6L2C8Prdip8q4y+3YoUj6ee3w+/++4w/H3q6NjvcgrMQ//eiN3HWnHnP7+WX+erz5pt8pcvmrnYCL7vDSsGxu90eui4kCo1jD8r9kNKpXgdz3fPOCntc8hWDEybqs4SK7euFwDfHgjFKTBdijzwupJP/OqWBKlUXfYHw7jmhS/x1PyIu9XndsXNHR6dyb+pIxgzfFxOzT5oJQVuU6UVdh/Tru6aD5hheaItICsviRSYOo1SCBUahmsgJFm+4i6PiwviZS4z1uWZN1pH1FZgUFWsS3yhJ34saZFqID4Qub5aHafVrq1EAcG5gAyYDFLkdWPMyd3wx++fbvh3TlYbMJzxkaoCozWo+nRTptN1KfLg2rN7ozdn2PABylr9OPhdktakYkWaO2Kfg01uT32yFfM2HgKgvCH1FJgqjTR3K/ZD0lKFEil8PHNvG4txg9LPJsiWC0kdpCu7kAq90JrL2/zhOAWmoshraMfocABPzNuCyS8uxbAZH+G6l5aaPt9FW45gBddTRkuB0ZPfm9pj2TQ+t1PuS8VT4vOYykxMlqWUS3il8HhLJDuIbzyoRmtca7lQAlw6eU15AV74wZkJ66rkG4+TD+KNGjDR5/pw87LX5VAY6loxjlqYNWD4MINeFUVxr59eW4GTVEHnpMDYCCa7m/ELDqws1X0tFRnf43Yo0vMYfVUGjJb/vNjnRm3XyADVKq3Ou2AOiaLAcLENbJL44ydb5Of4QGm96rNaE4EVFRitIN5xBlMcB1eX6crLZjrPrtnbkJVS4++vVS5wLIi30OuSW2fwtAe1FBiDBgwceHr+VizZcQyBkISlXAqzUUKqdDCv26lwwQL6MXMNrX45oNrndmka1qU+cwqMlVy+fAD97vpW3PjXlZod4NlcpEW5hgLjD8YMGI/biYmn9cSPz+uXgTPODvx4CKkMmFrOtV/f4lfU9jIaqmCkxx4PH/d28anKgPMbxvTB2z87N85ophgYG8EUDDPBvCdXKg0L/j42s8NieF1OeNzxf19tOWsFiQHAiF4VAJQTnj9aWEqhwAhiwPCdfLXkZf466HX8rtLwJVtFgTne4sdLn+/AkaYOTRfS6b0rUn7vV398NgZVleLP14809XsPvrsh5b+pxYm2AN79WtnLin2vPrdTs5CWVh2YiiKPIQPGTPaSHi6VMejTUGD07m8+O8frdsbFHQBRF1Ked7+pwo/THQlaOJxUoW3AeN1OzfgMfygMf1CVzaORjmwVtFw07DneMDjQ0I5CzkhXl/LQw0gWEU8pdx+NP7VK8ZoDkfgZdTkPUmAE5Max2lY961fED75E2T8/vbB/fH0XCTjtpDJ4XU6M7p88z1+Nx+WER0OBUQ+0ZAYMz+1vrMHQBz/Cdm6yOWRhF9L2I8147KNv0NDqVygwk55ejP9dvFNxLL8I6LmQNGNgLJJG/fN/rMZv39+Eaa99JUvto/p0wWXDqvHwd05LuSUAAFx4Sg98dPsFOLN3fEO4XLK3vhX+YBjdS3xyaXTZgPG45O7rPCdaAziuqihaUWTM7ZJOLR2GWm3xurQUGGMGTHeN7LhSkQ0Yzs2465i+a6tXl3g3BhBZwLUWTt6FxK6tmfpZuUZro6s2coGIC40P2DZqwCRzIc256Rycw60x5w3ojjN6V+CmC/rH1SbrG63oq77uZjbr2cC65qmF+fWkIfjx+f0wZuYCxfNM2uPjWKZdNACrdh/HJ5sOyc89P+VMrNt/AreNPyXuvSVIeOdn5yEQkuJ8nS9ePxIPvbdRLrpVWuBWKAxAZOI0cmPopWCymhM8TL6f9cUu+blDFmwIx5j09OdoD4Sx61hrXLrzw+9thMvpkCVbflHRCpYEtCeCVoukUS/edhQAsHxnPa4+MxKEW17owZ+mRFSTzXVNur9rhu+ecRLeWr0/I+9lFpaBVFrglidQ5kLyuZ2am4Q1+xriCrVVFHo1F4hsoA6y1HYhJTZgXE4HXE6HpopQ4nNb0o1pBN6FxPd1UqNV5A8AijwuTcOED+L1RufAfCsEidCq+KyVgAEoq6sbDS3QUo55zunfDa/95Bz0/+8Pon/Dhbd/dp7imL9PHY2FWw7jB+f0ARCvGvoMBMVnE+t+uxZHa7fObio+BqVbiRcv/XCU4rhLh/XEryYO1ry5JCkiI2oFal0ytBp/mnKm/PjuiYMx7aKTMeemc+TnHI54afK+SacaNmC0AgYZyhiY/PZTSQQLElyxs16RhcRgC9vEodW4fHis70h5obYBU6FxrazYC4l9bn6CS0eB4Xni+6fjtZ+MTn5gFL2uwKnArnWR1yUv+sxwL/Box8DsOBJZGPk1wut2ZjRFOhHqz58siPehK2P1NTq4DCRAO/W1pMCtGbwsArwCw74nLfQUmEIdBSYUluR7gF3bfGfJJCKscY/w6vlj/zkcADDtopMVqosRBcbrchq693lDW2ucnT+wO349aYju9dQKV8gl1v12LY7H5cTD31F2k2XWKf8lm5V5k037vHFUXujBXRMGKyR+BxyKv/+3qWfjJ2P7xwX2alV6THa+u47G5F51LxorEpYkOV1aTbHXhReuH6lYBNRGHdsxqzPFAOtV4nU6YtkavAGjlW6aKvwE9/1RkfLkWt1uAWPdvo3CgpOLvTG3CQv6jMTA6E/oN43tj0uGVOGO/4hXO81gtuy+uq6Jz+1UpM0CyjIJN4zpi8V3X6T7uppSn1thCIhCIBRWXMudCRSYWj0FxqvvPmOxafKCa2EFRj2mHA6lQXHNqFp8cc+3cOclgxRuUq1ed2r6dtcvkKqHkcPjlEUK4hWX68/po0h3YxOOIhU6upic1TdiZJypE1T5g3N6AwB+eUniiZZ3D7Gbk38uosDEHrPBrpYm9QqAJbrh+UVJS9mwGoGQpFsxl/l4+ZRO/rO7nA58df9/YOV94zVdFFarxFvsdcsLfaE39jkymSXAB0E/+O0heGfaeXFGPCPdtgY87FoX+Vxxn6fA41IE8RaoFv3TTirHizeMwq0XD0zrHHj10dDxKgMu4kJSHqOe/Et9ynuSzxz82biTFa+V+Nwp1f1RZ7DkOoZBfc6JDF114gGj0OvSNe7YWPHIc6N1lzi1AaMVu3hSRSEcDodCZUzmQrpkSBWemXxmwmMyhdotmmus++0KgkehtsTHwLDB9vwPRuLuiYPxgk5Gx2++fRrm3X4BbrnwZM3XGbx7iC24vKXtUJ0Tm7D4geZ1OTUj4Nlrai7SqA/S4k+twFcuafUHdZtsMnn1vAHd4HREAqd5nI6IIqMX2Gs1BabI55IXh1TqBxmBN2AKPS6cXluhWBD5pnGZrFTMrnWR1xU3PtVZSLUqt4ORVFIjFW1NKzCq4yNBvM645xTnoVKShp0Ui0f71cTBiqKTJQWelAwY9cYl1ztoM9Wi9YJQtcYBY0a0rYsIMTDqMaUX/wIoa78kcyFdPqIGg6r1y3Po4UihjWmuXLJ6WPfbFQQtdxFvSRe4Y5UVbxl3Mip1muS5nA4MrCpNOiAUlXq1bmKHMohXKzNKLwMJiJetf33ZqXJAqBorxoHwJCpPzgphVRR5sXbGBLyjCl5L9j1YTYEp8sZ25IkKXekZZEbgDRh2ffix1qtLkVwCPaMKjBwD445bkEp8ypL66sBPrfgYNV11grd5tOqUJCIQjFdg+HvX43LEyfFul1NhEA5TBdTz7sDSgtQUmHJVATi9asDZwsw5e3SqEBd5XYoaOFop6rEsJOsucWoDJpGaUWwijTrVQPU82yIpYd1vVxD4CZXdLM5o9gAAU8WmjODRUGDU8PEubDHjx3SiuIj4XaEbhV7tYlqiZkEAyuDWEp87TpFKNge0+kMZDVRNBbUiohUDA8Tcl09+/3Q8fe3pKf+9C0+pRG3XQlwxIhb4zI81j8shj7dMKlSxGJh4F1JpgVupwHRVKjBGmph2NdDEM5jAGNY8PqzlQuI2Hzoq2Rmci5lXYABlI9lSn1uhZnz+q4twzcheSc9LL9MuV5it1Ny/e3z8Wbdin2KeKi2Ir+8jQhCvuthhIncXHwOTrBJvygZMSr+VX6z77QqCQoHhFg42iNQ++XRxa8TA8DgA8Eo1cyfwioJWVk3s/Z2KxZvtsLUCJbPVwTcXJOvmqpXiyBMMS3lpHBcOS3KBthNtsUDqQq8LbdEFTR3n8OqPz8a708/DlafXpCWpF3pdWHjnRXhm8hnyc/x4dDljCkK6fZkY8zYewjMLtgEAinzxCkxpgUdZAl2twCQI8GX0MKBKmY2B8WsE8fILi9738IdrRuCkikL0714c1yeN/5zqa1HbtQiXDeuZ9LxOr61QPDZrmKWLrBIa3Nj1614c99w1o3oplOLSAnfc4s8eO52OnKXOm0Wt6iU6T16BSXbtErmiEkEKTCdES4EBYiqHkbbnZuDdU3qSI7+uagV8JctM4T8T+1lrJyOyATOwKnGPoGQGDAC05kGBuu6lpTjrt5+guSOIBq5QWzAsyUqF+jsv8roxvFcFHA5H2spIoiyEiAITdSFlwIAJhSXc+NeV8uNir0uObWCUFSoVGHXqrVaVXjU1FcnjZMzGwMQF8bqUDfj0lIGaikLM/+WF+Oj2C+JUQb7thdMBPPG9iLHDDMpkAZUlPndc9mGujXBmfPco9RlSR3qrmtD26VaE4b0qFO5zLQPGy6X3WjWQVx1DmFCBMREDo9VKxghaRUytDhWySxM+BoA3YJ6ZfCYON7Wn1RFUC9661lpkHQ4gxO0WtXzAevVOGF6XM66eglbUv9XiQIxy6WnVSeX2RPaLz+1ERzCMFn8wrmJltmF9eb7cdlRRYj4QDMuLA5+FpCaZ4WYWfpF1OhwojI6TxrYgVu85juG9KlLOVFCXmS/0uuF1K9P3Sws8ioWQD+J1Ox2a43/y2bX4x/K98uOe5fo9dximXUhqBcbjhBSQFI/10Msy4T9Lz/JC9Cj14Yt7viU/l2znPfnsWhSoFj+1oZVtYrWKInVKkrUk4Y3LOTedI7vV+OtX4nPHGbb8Iu51OzMaVJ4p1ApMovuEN1oKk8R1mVWcPr1zHHYebcbo/t1M/Z4VMG2q7d+/Hz/4wQ/QrVs3FBYWYtiwYVi5MrZLkiQJDzzwAHr27InCwkKMHz8eW7duVbxHfX09pkyZgrKyMlRUVGDq1KloblZOVmvXrsXYsWNRUFCA2tpaPProoyl+xOyiVGBig+zsfl0VRdIyRVIDBsobQ6vtenIFJvY5EvmS1VWAReAn5/fDn6acqZuFxUikwLBdfT4zkUJhSaHABELhWBp1Aom5Z3khPrnjAqz49fiMnId60WT++Tv/+TWu+tOXeGr+Vq1fM8T6AycUj4tVBcycjshzfFwFn3VU5HVpBmM/ctUwfHTbBfJjIwqM2SBetbKhbiWQSmyGw+HAB7eOxZs3j9FssKm3837tJ6Nx98TBuHviYDmpgBGWzKtL6dDOxWklatbI6M3FNJ3dt6t87/FzbWmBOy4Y2R/ULo9gJdQKTCIDlFcSte5vfiOdbG5T0697Mb41uCr5gRbE1Cc9fvw4zjvvPHg8Hnz44YfYuHEjHn/8cXTpEiuk9uijj+Lpp5/GCy+8gGXLlqG4uBgTJkxAe3vM0p4yZQo2bNiAefPm4b333sOiRYtw0003ya83NjbikksuQZ8+fbBq1So89thjmDFjBl588cUMfOTMwi/2iXZVmYJ3IelJickmpEQxMIByp+dJkI4oogJT29VYgadEmxh23XP9+fkJL6gyYPyhsBwTk6xOxIDKUlMdphOhXojZ5Mp2vM8sSMOA2d+oeFzkcysCbkt8bjgcDsV3xQc46i1cDodD4Y4xUrE0ZLoOjFYl3uQB+MkYUlOGUX27ar6mtwAOr63ALeNO1q3wrdXkNFvICozbhbsnDo57fVBVJP2X1dc6o7YLLh/eEz86r6/SBefmFRhP3DhsaOP6SVnUhaQ2irXqwDD47403hP98/UgMqCzBizeM0nzd7phyIf3+979HbW0tXnnlFfm5fv36yT9LkoQnn3wS9913H6688koAwF//+ldUVVXhnXfewbXXXotNmzZh7ty5WLFiBUaNilz0Z555Bpdddhn+8Ic/oKamBrNnz4bf78fLL78Mr9eLoUOHYs2aNXjiiScUho4V0HMhZQun04H7Lx+CxrZAXMYFEFEOxp1SCbfTgRGqgD3G4J7a1VMZ/OdgN79XI2vC6mnUWhhdOBIpMEVZyLQxAr+rD4Ul7D0eq4y8m2uKZ7RXSiZQy9VqeTudxWODhgLj4AwvVg7g26fX4PWVezHulEqFwpDoO1QEwxs4R9Np1EkK2WVjrtBzHSjKKmj2EArnbMwwN6fP48Sovl3xwa1j8bu532DRliMAgOemnIm3vtqHyWdHCns6nQ48e118UTb++mnFwPDGvWUVGMmEC0nx/cR+b8LQakwYWq1oANqZDBhT3+y7776LUaNG4ZprrkFlZSXOOOMM/OUvf5Ff37lzJ+rq6jB+fEyeLi8vx+jRo7FkyRIAwJIlS1BRUSEbLwAwfvx4OJ1OLFu2TD7mggsugNcb2xlNmDABmzdvxvHjxzXPraOjA42NjYp/ucCn40LKJlPP74fbdUqjOxxAeZEH62ZMwD9/Okbx2qwfnYW7JgzC+FMrE74/f8N7EgTxiuhCMrqgJlJp2Pfsz3Epd96ACYTC2HRQe4xnqv+REfjJUgLkGBhGOotHnarjeaHXhUrOgCmNBqQWed14+2fn4RfjByrk80SxALwaYkRyNxsDE9BMo05fgUmEngtJEfivodIkqpeUadT9uobUlCnmo15dCvGriYM1N2c8XrUBo7qefIae+p7Pd/kDhnpMJaqKzI9RrdPn78POY76YNGB27NiB559/HgMHDsRHH32EW265BbfeeiteffVVAEBdXR0AoKpK6U+rqqqSX6urq0NlpXIBdbvd6Nq1q+IYrffg/4aamTNnory8XP5XW1ureVymUVbitY6lX+h1xcW/jBtUiWkXDUjqQlEYMAkKQonoQjKuwOi/xiaajmAYx1v8uPLZxXjli52ZOL2E8MXRgmEJGzUMmCtPr4lLv80mirEkSXH++XTuCX4RAiKppJVcUDzvBtJCa7FmKGPJkp+L+UJ28ZV4lWnUmd/s6LmQ+HmA38mzp3MZyMt6FfHjQllLyNh44TeLRd74IF4+wF19z5v9LrOFug6M0diVfj3iU8tz3RLCKphyIYXDYYwaNQqPPPIIAOCMM87A+vXr8cILL+CHP/xhVk7QKPfeey/uuOMO+XFjY2NOjBi9OjD5IpVy0GrUqbGA9sIvYhp1qi4kpwNyWwL2Hjf/fZX8+tf7TuBH5/VDNuEVmCNNHdhb3xZ3zA1j+ua1vLc6yyVVF5IkSWhUKXzFPqUC40ryORO9bqQcwfBe5Vi7L+LGMh0Do1ZgXOpCdtl1IXldTs0U6bP6dsXdEwdjeK9yTH11BdoD4ZylUh9v8eOFhTsAQNFDTllLyNjYVSrfToXh073Ei0euGiY/Vt/zobAEC0zVpirxAsB7Pz8fB0+0Y3B1fAhAZ3Ib8Zi6i3r27IkhQ4Yonjv11FOxZ88eAEB1dTUA4NChQ4pjDh06JL9WXV2Nw4cPK14PBoOor69XHKP1HvzfUOPz+VBWVqb4lwv06sDkmrP7RQL7pkSbQqaDVysGRqMCsIgGjNHvSJ1u7Mry7tkIvMtqxa5IOrV6jTZaICxbFHlUMTAp3hPNHcG4Cb7Iq6z50h5MHIOklYHH4BdNB7SLnb3zs/PQP1pIzbQLSXW8uqBatl1IeuPc6XTglnEn47wB3WUjLlcupMXbjuJocwdquxbilnED5OdTUQ/Utap4A2b2T85BH64Rpvr9LaPAxNWBSXwdTjupHP8xRDtbiDfIrfHpcoOpu+i8887D5s2bFc9t2bIFffr0ARAJ6K2ursb8+fPl1xsbG7Fs2TKMGROJxxgzZgwaGhqwalVs97pgwQKEw2GMHj1aPmbRokUIBGIS8rx58zBo0CBFxpMV4G+cTFfdNcNff3w2Prh1LL49Iv3UbU0XEvfZWEM4ETpSq0m2cLwz7Tx894yT8Nh/jlA8zysyark6V/AGzOdbjwIAxg5UNtpMVmacZ3C04Vt1hmoVSYivQZPqQq12HwHxWXfJGgMmjoHhDBhHpLqrGqfTIY9/M4ve/E2H8I/lezTfj6HZxyxNeKPMSEYkixvJlQuJuY8GVpYqqgqnUmhObQzy40w9D6vViVzXvtEjrpljigXogMTGup0xdcVuv/12LF26FI888gi2bduG1157DS+++CKmTZsGIOIPv+222/Db3/4W7777LtatW4cbbrgBNTU1+M53vgMgothMnDgRN954I5YvX44vvvgC06dPx7XXXouamsjie91118Hr9WLq1KnYsGEDXn/9dTz11FMKF5FV0KsDk2sKPC4MqSnLiPtAS23hn2PVha0YxJsshTyZAnN6bQWe+P7pcV2MXQZ2z9kO6tWS+q89S+kmNaPA/OWGUbj+nD74x03npH1uen8/1XhJZsCUcyn/6r5GydoVqLs/8zgcDow/tRLDe5Xj1J5luP/yIfj91TG3A1sE2fdu1IAJhMKY+upKzdf4RTfVcu+JULuQksF2/LlyIfFF7HhY6rQZ+Hku4kKKPVaPQbVb3aoKTLotD5h7NZXrKSqmYmDOOussvP3227j33nvx0EMPoV+/fnjyyScxZcoU+Zhf/epXaGlpwU033YSGhgacf/75mDt3LgoKYgvC7NmzMX36dFx88cVwOp24+uqr8fTTT8uvl5eX4+OPP8a0adMwcuRIdO/eHQ888IDlUqgB7W7UoqOlwPDPVZYV4Ju6Jhxr6cj5uSVDq6ZFic8tu7u8rtSMzCKvS06b1lscTrQFMlZfRQu1gVRe6MG4QSoFxoQBU9u1CA9/57SMnBsQcWOu26dMfU6lAuqiLUdww8vLAURKzn965zgAsSBHl9OBUFjC0JrEbuJka/hLPzwLkiTB4XCgyOvG98/qjbv/tQ5AbDPCFkajMTAbD+hnP/JGcDZiFtwm4/HcOXYhyUXsVBu9gVWlmPWjs1KuWl5dVqAwUtSfXb2ny2XhvkTEGTBpGrWL7/4WguGwKRU2FQZUlmDb4ea8u6uBFFoJXH755bj88st1X3c4HHjooYfw0EMP6R7TtWtXvPbaawn/zvDhw/H555+bPb2cw98c+VRgMonWTo43YHpGJ5qjzX5YDa3dVWkBZ8CkaGS+eMMo3PL3Vbhv0hC5ZoWaXBswNRWFcWOuIEEbgWyx8r7xONQYCS481Kg0attSqJXzw1eWyz+XF3ri0sLfv/V8zFm+F9O/NUD9qwoSKTAMPcWSbUZkBcbgIr9qt3aZB0DpIjDSa8ssZoOEvTl2ITEFRsu4GjcocWkHLZ6ZfAZ2HGnB2f264mUuCzCZKz+XhfsSkWoWkh5etxPeHLQ3fOmGUXhi3hbcfOHJWf9byaBeSGnCj8FcVOLNBfyk7nHHZyEx98rxVj+CoXDaN14m0ZqMSwvcOBgVBlI1YM7s3QXL/jtS32jpjmOax2jFbWQS9U65e4k3biefj6qj3Ut86B7t6DyqjzJGLRUFhr+nyjWqRg+uLsOMbw/V/f1LT6vGh+vrcPMF/U3/bQa7l5nRYdTtkMiA4e2pbHRILvS4UBzdfRvZhefchRRkbQQyM0av4OL9+K9HfQ+ojVTLKjCCxLH07V6Mp7mO9PmEDJg0kbiYb6uWrDYLfxtp9ULqUeqT04rrW/2oLM1sw8p00JLDS7kOvJnI/tB7j8YsGzD+kNIYYEYDTz5TqIH47s9tgZDspkkFLQMmGc9MPgP7G9oUmShmYcqW2RiYrYebdF9zK1K3Mz9XeN1OzL7xHDgA/Pb9jUmPl42zXLuQsuB64NtsqMea2i6wbgyMPdaPXEJXLE34MWibSHDuY7BdgbruApP1jzZZy42krr8BKAueZcLITBQDk03ULqTuJbnthG0UPtVTkpJnC6nhvy+9fl+JcLucaRkvQGy8u03GwKgz84q8Lvz5+pEAlAtptvY6p9dWYERtBYys0SwLKVcuFb4PUqZRu2N41LNyrgy2ZMTXgcnTiQgMXbI0UfezsAN8QBzbzagDe9nu/2iztQJ5tSYnPtgsmwrMsZbsGnMdKgOmm4YCYwUe/94I3D4+1urCrBuJT6tVF7PLNt894yQAwC8uHgggZsAbXfSaVLWRnvje6ZgwNFK7ilcGsr3ZMVIu3xM9h1wZMB3RcaBOtc8EidxCakVGa5OTD9TnrL6/ieSQAZMmNrRf4qL2AWWAstvlsKwBo+XPV6tH6aJXt+Lh9zbi318fSPv99YiPgbGmAVNW4MEvxg+Ur3Wriaaf4bCkULKOZ9koVPOHa0Zgyb3fwiVRo8NlIgZGkqS44o56xcmyHe9gSIFx5TgLKZg9F1JCA8bEsblErRqlEvDe2SEDJk2s0hgsk2hNrbzq4HY6ZfeFlQyYHUeacckfF8mP+3YrQonPrXAnZMSFxF2L02srMPX8WAuBxz7arPUrGUEUFxKDBZKamZib2pUVeH90Xt9Mn1ZCnE4HepYXyo/dJmJgWv2huA2NXoB7NmJgeAwpMDl2IbFxkBUXUkIFRvk4l80rE6E+51QC3js7FMSbJlp9KURHS4FR90di7otjFkql/vXb6+VJoarMh/m/HIe2QAj/XLlXPiYT0j1/LboWexWKAatumw38weRBvFaiyONCAwKmJubjrZHx5HU58eFtY3Fyj9w1ptRCjoExsMhrtdbQU2CS9XFKl9quRfhaVZNHjcekeyxdYmnUmTfeErvyrZOFtLe+FfUtfoyorYh3IZmMFSPIgEmbi0+txO+vHoahNeX5PpWModUQUqHAuJxyt9dsx32YoakjZki4nZHmeSU+tyE53QwelUtq7MDueHPVPgDx1WIzido9pq6PYrUYcqbAtJpQYJgB06PUl3fjBTCnwGhVptZzN2ajEi/PjG8PhdPhwHWj9XujsXPLfRp1fhWYfMbAfOvxzxAISZh3+wWkwGQAciGlicPhwPfP6o3TTrKRAaOlwPBBvE4Hir2RhdpKfls+DZHf+Wbazcf3sfG6nbh8eA3OPbkbgOwG4qml724qF5LV0jBTcSExA0ZtnOULMzEw2gqMTlPFLCsw3Ut8eHryGTinfzfdY5gRdaSpI66CcjaItRLIvAFT27VI9zUrZSGxe/jjjYfiDJhkrTGIeKw14xGWIJkB43Y55cWpxUSAZrZxKXrNxM4305li6g7kLqdDLqqVTQOGvfd5A7phwS8vjKvCm43y9OnAOlObciG1RFS0iiLz9V+yQayVgAEDRkOB0QvWtULRMuYKfWr+Vlzx7GKs2l2f1b/XIbcSyPyyc//lQ/DtETX4x43xfb3UxmK+XEh8kc3tR5pJgckA5EIiNNBwIbl4AyamwJhxD2QbhQHD/ZxxF5JGs0uWcdMRzN71YEG8g6vL0F/DvWI1AyYdFxJrGJpvzLQSaO6IrwOkl3Jvhe9KrQ4t3HIUI/t0zdrfy2YhO6Y4aaGu/JuvQnYt3H2w40hLXBbSKZ2oCWOmIAWGiGPC0Eghsm6cjO9TuJCccoExa7mQtDtGT4ymxA6szExMBf/erDkkey6bHalZtoiVF0UetnCYkcYPnmgHgLhu4PkiFgOT/HvVioFRKy0XnhJpvnn5iJ4ZOLv0UMfhdMmy6tUevTey3WxQzV0TB6M352LKVe8nNXw5gS2HmmQF5m9Tz8Z1o3vjd98dpverhA6kwBBxXHhKD/zrlnNxco9Y+rG6DowVXUi824iXjft2L8aKX49PqSy9Fnx8DcuoYNcnmy4kZhzpxVXoZbzkC7bTNmPA7D/eBgA4qaIwyZG5IZUYmKoyn9zUUv1dzfrRWegIhrOiQpiFb7EBpFb12Ax63aizzUkVhVj0q4tw7YtLsHRHff4UGC5GilclT6spx9iBPbR+hUgCKTBEHA6HAyP7dEEFJ+MrK/FaM4iXX7/VhkSPUl9GqvACagVG2a07mwoMe2+9YnzZDgw1S8ytZvya7G+wlgGTSgxMVVlMPVIbMA6HwxLGCwD076Fst5BN4/v1FXvkRTtTzRzNwr6LfMXAtHRoz5W2aUGTB8iAIQzBL9pOhyOl+IZsw89L2YxF4Q0IdQzMprpGzF62OysyNUt3VRfjGxPNNJkyuk/G/2Y6sIW6w4wCEzVgaixiwJiLgYkYMJWlsfo82U6XTgd1mnq2smD2N7Th7n+tkx/78mTAuXLcOkENU6vLCpSODysEdIsKuZAIQ/AGjISY3GymTHy24SfgbBaF4nfVzHBh10eSIgX1wmEJ14/pm9G/ywwYtavoLz8chdV7jsuGjFVg16bd4M6+1R9EfbSu0EldrGHAmIqBiRowfAq4x2Kp7TwD4gyY7NwzhxvbFY/zpcCw7zLfCkyPUp+ix5fVYtdEwrp3F2Ep+F2/JEmyARMISQiEwnjp8x249621eW2twC+U2ZTD1WnU/P+MlbuPZ/zvMheSVxVDUOJzY+zAHrpl6/OFWQXmQFR9KfW5MxavlC6mYmCii1I150KysgJTrgrazVYa75EmZbuRTLTzSAW3ie8yG7DNXo9SZQVtMmBShxQYwhD8rr9HaYGiw3OrP4Tfvr8JAHD1mb0wqm/2UjG1WL//BFxOh2KhzKYLyatQYFzR/1WxDln4uzEDxlqGih6yAmNwZ7+PBfBaRH0B+FYCRnohRRaonhWFePCKIXAAKM5iZeZMky0X0iGVAaPuDp0rXC7mDsyPC4m5GNXB09luK2FnxLm7iLzicDiw8K5x6AiG5d2x2+lAMCwp3Ei5KkvOaO4I4vJnFgMAarjU22wqMNp1YJSqSDYm6WRp1FZDVmAMGpMNrZE6Klbq8WSmlYA/auR4XE5MPlu/hL+VePm/RuHHs1YCyJ4L6YjKhZQvzHyX2aA16kJStxuhIN7UEWMmJCxBn27FimJLLJCXVU8F9DNkskXdidjkeID7OZvZQFpBvGqjIqsKjIXdEjxmFRhm6OR6DCXCZSIGJhTWjlGyMt8aXIX/vmwwgOwpMIebrNGxnrmQ8hUDwxSYIq8rb240u0FXkUgZlkp9tDk2QenVKMkWh5tyv7vjjRW2wMUtullYw/yCKTA+kwqMnCaepyBPLczs2lmfG6v1pEpGYQr1esxwiFNg/uvcvln5G0bIpwLTHghh6Y5jACIKjJXGuMiQC4lIGRbIe6wlZsDkOob3UB7kad5IY3ZKLowKVunVKnVEkhErZGdUgWF1bqzz+VhgtJEYGBZbYeXAXS18WTZgmALzyn+dhYsGV2blbxghFgOTewPmvnfWY9nOSK+pIq8bPrcLTbBOBqeokBlIpAxzIR1r9svPqft7ZBtW8TSX8MYKi3VRS8KODEswzR1B7DrWAgAYWClGzxSz/aE6khTqywdmdu3sGJFcSEDM0MxWFhIzYNTZN7nGY8IdmGneXLVP/rnY58pbKrndoKtIpExMgeEMmBzLs3oKzO3jT8na3+QLT7Gf1CnMmc6C2rD/BCQpEqic74XAKKYVmOgCaiUXmZkYGOZCcgnrQsr8wh4MhWUXc2VZfsdtKq0tskGxzy2Mimp1yIVEpExRNAbmGBcDk2t5VsuAWXjXOEXztkzDZxjpJRtlepJct/8EAGBYr/KMvm82Ma3AhKynwJgpPy8H8QqWVZJK002jHGvxQ5IApwPoVpxfA4bNV806Jf2zSZ9uRdh9rBVA5FqQApMZ6CoSKVOk5ULKuQKjdCF5XA706Vacs1oTZToF1zLdYmHtvogBM7xXRUbfN5uYV2CsFwNjppUAO8ZqBQWTkU1l4nBjzH2U74Jtxb78VQ/vxlVn9ockS41xkSEFhkgZFgNzlHMh5dq/rFZgctXp9pGrhmHn0WaM6tNF8/VMGzBbDjUBAAZXixH/Aphv5mjtGBgDLqSwmEG82XQhsfuzsrQgyZHZh9Vf4btC54oAZwB/5/QazF1/MOfnYEfIgCFShk0IR7k6D+EcB/Gy4meMXMVPXDc6caGyTO5mQ2EJO45GAngHVJYkOdo6mG0lwFxN1oyBMa7AWLn/kRbMnZGNIF4WwFtpgbitIh9zIeXDgIkYh3+fOhqlBZ6cbbTsjlh3GmEpWEXeOk4FyXUMjLryLx9QnE8yqcDsO94KfzAMr9uJXl2yF9uTacwqMH4LKjAsBsaQCynMgnjFUmCYOyMrLqRonaZ8B/ACQInsQsp9DExA1YiVgngzg3VmCkI4mAHDx73kMgZGkiR5YrAamdzNbj/SDADo371YqMWRTdL+UNjQuJBdSBaa3JkBY2ScBXW6hVsd5gruCIYRzvD9G1Ng8u9CigXx5s+F5NFp/kqkBl1FImUqirxxz+WyymUgJMmF8/JZ4VOLtgzu8rYdjhgwJwvkPgKUk7SRTCQrxsCwiqlGVCTRg3iBzPcQO9xoJQUmYsC05iELSe5jFh0bVjLSRYZiYIiUKdfIwMlVDMxLn+/Aox9tlh/f/h+noEuRF+cP7JaTv5+MVn8QkiRlJBtqb32kS3O/bsVpv1cuURgwgTA07F0FVqwDI7vBDChqchCvQCoZABRw17s9EJIVmXT5bPNhfLLpMABrKDDFeQ3iVQZ4dy3Wzl4kzGGdmYIQjoqi+JswVzEwv31/k6JhY4HHiV+MH4iRfbrm5O8nIyxlrjN3SzTts7RArP2G2+WUF/OJTy1K2mDTiq0E2LkY+S5jCoxYBozb5ZTdXu0ZLMD4zIJt8s8DLaAeFkcNs5bo5iKXsLHPXJI/vfBknNG7AvdfPiSn52E3yIAhUqZCQ4HJV6dXK2Z+ZMqNxIIrM7UzziXMpXiosQPrD5xIeKwVg3hjCkxiA0aSJPmzitbMEYiVH8ik65N1in/wiiHo2z3/6iFTYMIScMPLy3OqxLAYGOZCKivw4O2fnYep5/fL2TnYEfHuNMIyaLmQ8tHp1e10wGlB2T5Tgbwsa8LumQtWTKM2GgPDG+6iBfECQFGGM3QkSZIzkP5jSFVG3jNdCrn75/OtR/HGyr05+9uxLCTrjG07QFeTSBmtKrS5buYIWGdS+O/LBiseZ2oxYLviIgEVGJ5kO15LBvFyLqREGTq84S5aEC8AFEczdDI1Zo+3BmTVwSq9u5xOh8KIyZVazKtzIhq3Vka8O42wDAWe+K6qoTykNVtlUrjpgpPxzcMTURXNuMiUHM+UnELBFZiWJNkf1oyBiY3vRHEwfJq1aEG8QMw92ZKhMvusAm/XYq+lvk9eFdVSkLMBX4XXYyHj3A7Q1STSoqJQmVqSDxeSVRQYIGLUFWe44iczhESMgelZHss+SdaDRo6BsVCjO3UmlR78bl5EA0ZWYDKUYmylCrx6ZCrIPhm8ceu10FxlB+hqEmmhXmzyEcRrJQMGAEoLIju7pvYMGTACKzBv/exc2fXVkkSRkmNgLPR9ul1OuXhgolo2/C5bpGKDjKIMNzqUeyCV5T99Wo9MBiwngjdgrDZXiQ5dTSItWIt4Rl4UGLe1FoyyaLpzU3sgyZHGiMXAiJVGDQA9ywsx8bRqAEBrAkVKkiSuEq+1piUjLRFYs0ePy5GzTuiZJNMxMKyAXZWFFZhMF+3Tgyk9DoeYxq2VsdZMQQjH9IsGwOtyynEfmS5FbgSr7WpKZQOGFBggtjgmUmD4qspWipkAeANG//zlGjACplAD4FSyTCkwERdSFSkwsTYCFpun7ABdUSIt7pwwCKsf+A9cMiSyy86LAmOxRaPUx1xI6SswkiTJBkyB11qf0yjMPZEoC4mPR7BSFhIQS+tuTxADI1daFXSHXZzhMvvHWyNNVbsUJym/nGP+94ej5J+z0X1bi0BQ2UaAyBx0RYm0Kfa5ZWk0LzEwFnMhZVKB6QiGZWVCRBcSwLsn9K8HX6rfahM9U4QSuRzYuBetCi8j0wqMVVP/Lz61CreNHwggdwYM714kMou1ZgpCWJgBkwsFRl0G3GrSLAvibcyAAcPHJAjrQpJ70OgvGB3cLtVqRQmNuJACgjZyZGRagWm1qAEDxO6j15btwYuLtmf97/mD5ELKFnRFiYzApPNcNHNUG0lWmxhKMxjE28Y1OBQ1AJD1oEmowFiwiB3DSDVeeZct6HeUaQWm1cJxW3w5gkc++CZj5Q70oCq82YOuKJERZAUmB80cA6r6DVaTZjPpQmqLLihWXAiMUmRAgbFiDRiG7EJKGAMjuAITdfO9t/YgvtpzPO33Y+PWim5PdUuOUJbnLDZfWalFhl2gK0pkBLccA5P91ER1V2Or7WxidWAyoMD4I59VZAPGmAJjvRowDCMuJDkGRlQFxhcbX9/905dpv1+rhYsvqg2YbBe08wse4G1lrDdbEELizGEMjHrCsZoBU5ZBBaZV3slabyEwSpGBNOo2CzesNFQHhi1SFlMDjVKcYaXEqkG8QPxmQK3oZhpKo84edEWJjODOYRZSQCX5Wm3XnslKvHIKtQUXdqMUG0ijZrEXLJjUShjJQgqE7VEHJlMwBSbThlEmyLkBEx031Acp89AVJTKCKzpx58KAiXchWWvXm8kg3vaAdXeyRollIekbMM3R+Jhin/U+pxzEmyDtNhgSO1U2k4ZjOByrXWRFF1Khqp6SekOUaeQYGEHHhpUhA4bICLlVYJQGjNUCJ5kB0+IPpX09rBxLYBS+TL06BZ7BjJsSSyowkfGVKFaCuU5FzRRTjy+978kI7VyskBUNb3Wl56wrMGFyIWULU1d0xowZcDgcin+DBw+WX6+rq8P111+P6upqFBcX48wzz8S//vUvxXvU19djypQpKCsrQ0VFBaZOnYrm5mbFMWvXrsXYsWNRUFCA2tpaPProo2l8RCIX5DQGRpAgXgBYsze9jA47uJBYgGgwLOkaAcyAsbQLSScLqT0QwrtfHwBgPWPaKGpXTzr3sdVrF6mNtZy5kAQdG1bG9BUdOnQoDh48KP9bvHix/NoNN9yAzZs3491338W6devw3e9+F9/73vewevVq+ZgpU6Zgw4YNmDdvHt577z0sWrQIN910k/x6Y2MjLrnkEvTp0werVq3CY489hhkzZuDFF19M86MS2SSXCox6EbSaNOt1O3HRoB4AgDve+Dqt97JyMKRR+NouenEkzZY2YBIH8T75yVa8v/YgAJFdSMrxlU45hFhAtvWKEgL5COIlAyZbmL6ibrcb1dXV8r/u3bvLr3355Zf4+c9/jrPPPhv9+/fHfffdh4qKCqxatQoAsGnTJsydOxcvvfQSRo8ejfPPPx/PPPMM5syZgwMHIjuY2bNnw+/34+WXX8bQoUNx7bXX4tZbb8UTTzyRoY9MZINcthIIWFyBAYCHv3MaAGDf8ba03qfuRKSrb1eL9ZQxAx9krVbPGJZ2IXkSp1H/O6q+AOIG8ZYWeHDzhSfLj4NplENotXj3dLWambMYGIu1PLEDpu+2rVu3oqamBv3798eUKVOwZ88e+bVzzz0Xr7/+Ourr6xEOhzFnzhy0t7dj3LhxAIAlS5agoqICo0bFGmqNHz8eTqcTy5Ytk4+54IIL4PXGJuwJEyZg8+bNOH5cX47v6OhAY2Oj4h+RO9x5TKO2omzPJslQWEornmDr4Yh7dWBlaUbOKx84HA7ZiNFXYKybtZIsC4nFPAHiKjAAcNeEQfLP6SgwrRYvvphrBcYveKdyK2Pqio4ePRqzZs3C3Llz8fzzz2Pnzp0YO3YsmpqaAABvvPEGAoEAunXrBp/Ph5/+9Kd4++23MWDAAACRGJnKykrFe7rdbnTt2hV1dXXyMVVVVYpj2GN2jBYzZ85EeXm5/K+2ttbMRyPSxJnDQnbqCcdqLiRAWbQqHaNuGzNgqkrSPqd8IgfCJnEhlRRY0YBhWUja586rRqIG8QKRc3dETz+Qxn1sdbenul0FuZDExdQVvfTSS3HNNddg+PDhmDBhAj744AM0NDTgjTfeAADcf//9aGhowCeffIKVK1fijjvuwPe+9z2sW7cuKyfPc++99+LEiRPyv71792b9bxIxcqrABJV/w4p+dl4VStWt1tIRxP6GiAtqQA+xDRhvEgMm5kKy3qKXrBIvb3RZUQ00gyeqEqSnwFjbgFHPF1l3IQXJhZQt0truVFRU4JRTTsG2bduwfft2PPvss1i/fj2GDh0KABgxYgQ+//xzPPfcc3jhhRdQXV2Nw4cPK94jGAyivr4e1dXVAIDq6mocOnRIcQx7zI7RwufzwefzpfNxiDRw5bCZY7ZLf2eCTCgw249E1JfuJV50ETgGBogZMHpGgKWDeD2JXUj8OYteLt7tcsAfStOAsXANGC0ojVpc0rqizc3N2L59O3r27InW1tbIG6r8fC6XC+GoHDlmzBg0NDTIQb0AsGDBAoTDYYwePVo+ZtGiRQgEYkXA5s2bh0GDBqFLly7pnC6RRdwZ2LkZRR3EmwObyTS8KyGY4gS5+1jknurXvTgj55RPkrmQrJ1GnTh+p4SL22lPUOxOBJgBlp4LybqNHBn/N+08+WdyIYmLqSt65513YuHChdi1axe+/PJLXHXVVXC5XJg8eTIGDx6MAQMG4Kc//SmWL1+O7du34/HHH8e8efPwne98BwBw6qmnYuLEibjxxhuxfPlyfPHFF5g+fTquvfZa1NTUAACuu+46eL1eTJ06FRs2bMDrr7+Op556CnfccUfGPzyROdi9mY80agvaLxlRYNjEJ3INGIZxF5L1Fj1ZPdIxTniXRCbaR+QTtsja2YUEACNqK/CtwZF4zEAwNy4kMmAyj6nZYt++fZg8eTKOHTuGHj164Pzzz8fSpUvRo0ek5sUHH3yAe+65B1dccQWam5sxYMAAvPrqq7jsssvk95g9ezamT5+Oiy++GE6nE1dffTWefvpp+fXy8nJ8/PHHmDZtGkaOHInu3bvjgQceUNSKIawHayWQixiYbO+YMoHD4YDL6UAoLKVs1Ine4ZhHNgJ0vjuRs5B4ha05QbsEEWDNKNO5x0QwYIBYxlg6apMR/NRKIGuYmi3mzJmT8PWBAwfGVd5V07VrV7z22msJjxk+fDg+//xzM6dG5JmcFrJTLyRW9CEBsgGT6mIQErw8PY+cRq2TyWNlBSaZC4k32psFV2DcGdiINLZF3P9WdAfysIBrtUs608iF/Sxu0IkIaVpERshlITsRgngBwJPmNRG9vw4PUzG0vrsQ1/zPks0ckwQg8wZqk+AKDFMlUo3bAmLB51aP3WJGdbazkOTGljZwBVsNMmCIjJDTZo4qn7U19ZeY4ZHqbpZldNmhAFaiGJgWf2zRt+KuXc5C0lGP+HgR4RWYDCzqrPjigEprp/4zYy3bG6J2MmCyhvgzI2EJYs0cs6+O+EPKnbBFPUjyYpBqQCT7PSvWuTFLIgOmNRr/4nI64oqMWYHkLqTY88NOKs/JOWULd5r3cXsghD31kew5q1ePTvf+NEqbYGnlImG92YIQkpwqMCG1AmNNCybdxcBOQbyJ3DByrxiXEw6H9T5rMhcSKxVfWuDGk9eenqvTygrpZiFtP9IMSQK6FHnQvcTatYtiLqQcxcCQApNxrKfXEkIix8DkopCdaid8eq016wOla9TZKQYmkQLjl+tkWPNzJitkx+JFfvud01BTUZiz88oG6WYhbePcR1Y0Rnk8Gci4SkRHMISXPt+Jr/Y0ACAXUjYgA4bICCxOI5SDQnZsIbnqjJPwrcGVGH9qZZLfyA8ueYJMNwbG2guBERIVsmO7favWyeDPXZKkuIXZ6udvBk+aWUgnohlI3UusXxXdk+Ug3llf7MJjH22WH5MLKfOIf8cRloDFmeaiDgzrdju0pgxXjKix7E6PLQYpKzB2ioFJ0I3a6pVK+bgcrYBPVkfEDoYmU/tSVSWYgWrFWCY17iy7kDYfalI8JgUm81h/lBFC4E5zsTZDCyt6ZsGMFR5X2jEw9lkYmRtG0wCIPue2qgvJHVt4tAwwOykwbjmNOrX7uENuXGj9a+HNsgtJHfNS4LH+NRENuqJERshlDEyr3GvF2jsa2YBJcTFg19IWMTCuBC4kize787gcYCKfViq11Q0wM7Dv4GhzB6QU7uUOWYGx9r0JxD5rttKo1YoLBfFmHmvOGIRwyAGrOYiBafFbt+w8D5sg0w7itaiLzAzeBKnIsV4x1vycDocjYSZSUM4WE386ZffxzA+/wYPvbjD9+36BFJhsp1GrDRhyIWUe648yQgjSLdpmhjbRFJhUeyFFJ1aXRRd2M3gTpVELYAAk6ocUtHgWlRl4FeyvS3ab/n32/YpgwGTbhaQO2qUg3sxj/VFGCEEuWwmwGJgii8fAyHVgUu2F1EmykGQFxsKLnqzAaLqQot+TRV1gZkjXDSZSEK8ny0G8aoO2QAC3mmhYf5QRQpBu0TYzsBiYYovvaOSAyDS7UbssrEwYJVEdGDZmPBY21HyeRC4k+wRbp6uCiRTEm+00avV9b4dsQqth/VFGCAFTYMJSpJx4Os3gksFiYKyvwFAMDMObIGAypmBY93MmdiFZOwjZDGrVwGwgr1+gIN50i/YlIxfxgJ0d8e84whLwO7fTHvwI972zPit/JxgKy5OkKApMqhNkSICF3SiJGiJavQ4MYKyOjR2+J/VnaPVrt0/QQ6Qg3my3EgjkwJ3e2bH+KCOEwMfVOAiGJcxZsVfTXZAurYHYhFpk8SykdFsJ2DKNWmOxEEHBkF1IAa1eTtHzt4GrT+1Cqm/xm/p95mITKQbGny0XUpZ7LBFkwBAZosDjQmWpsnz4mr0NGf87rHOx2+mw/C4v7SwkG7mQEgXxWr0XEpC4I7UcA2Ph8zeK+js43mrOgGHfpQgGTKxoX3YMjVxkZHZ2rD/KCGHo3bVI8fjL7Ucz/jdaBEmhBvg6E6lNkHZs5qgZBCu7YKw7HenFwEiSFFNgLHz+RlF/B6YVmECss7jVyboLiRSYrGP9UUYIQ+9uSgPmm4NNOkemTqsgbQQAPjMrxWaOYRvFwCTMQmIuGOt+Tr1Cdrx70MoKklHU30HKCowAZfNZ2n62spByUVKis2P9UUYIg1qB0dptp4tICky6tXGYa8JOCkxiF5J1pyMWhPzrt9fja841yhunVlaQjBKvwARM/b4cxOuy/v3pSdDeIhNkyzAiYoh/xxGWoWd5geJxNnqMtPnFUWBYUCfFwCRuJRAUoBAcH9Px5Cdb5J95N4Et6sCoY2BMB/GKo8Bku3YVBfFmH+uPMkIYuhYrg3izsbMRSoFJs7OvnWJgElU9Zc95LeyC4cuhVJbGDHX+u7WygmQUdSZVY3uqCoz1r0UiozoT8BuXey4dnJW/0dmx/igjhOGiQT0waVhPjOrTBUB2DBgWA2P1FGqAT6NOsQ6MjWJgvAmqnopQiv+bukb5554VMQMmEP1uHQ57GJrqz2DWDSJSJV6WNdnQGkCTSUPNCMyAuWvCINx84ckZf3+CDBgig7hdTjw35UzcevFAANnZ2YikwLCaGqkWtGIGjNMGLqRYWwX9ZohWNtT48cbHNAVtVAMGiA9ENusGEakOTEWRF1VlESNm6+HmjL8/u3ZlBdbfbImK9UcZIRxywGYWfMAtHawPkvUnBbYgp9tKwMpdmo3C951Rl6ePuZCs+zl/8+3T5J95VSJoo2rJQPxYNRu/JVIlXgA4paoUALClLvMZkyIoi6JDV5bIOIkyTtKlqT1iwJQVWt+AkQvZpRgDE7ZTDAxnhKkXxYAAhtqQmjL89ML+AJSqRMBGjRyBeJeRmVomkiTFgngF6IUEcAbMoSwoMDbKIrQq1p0xCGFJVPMjXVhQYVmBJ+PvnWk8aWY5xBQY8SdAjzv2GdQGXSA6TvhjrIhWVpkIbRDMoFZNzRjfvPEjigIzKGrAbD7UmORI88TGhrXHtciIMcoIofBl0YXU2MYUGOsbMK5MpVHbwIDh1ZW4RTIsRhyJS8MgtVMjRyBecTFjfPPfqwgxMADQq2shAOBQY0fG31tuMWHxcS0ydGWJjMOKWGVVgRHAhSTHwFAatWIXqg4MFcUI8GikxcvnbpNFSm3AmGl0yDe6tHI8E09JtJ4Ui63LJKTAZB8xRhkhFNmMgWlsE8eFlLFWAjYwYBwOh/w59OIsrO6GcWukgrPvVhSXSTLU342ZLCS+KadTkDHLCmI2Z8GACcgbEHuMDStCV5bIOGwyD4YleRHOFI3tIrmQ0o2BifyeKItBMpjCEuemEGSnqlXXJ6bAWPvcjXLx4ErFYzMxMKyRoygBvABQyikw6uy4dBGhPIDokAFDZBx+N5rpOJjOpMCEbKTAAPrVeEXohQTEvoeARhCvXVJlR/fvhvd+fj7+cM0IALEsKyOw71EkNYopMGEJaAtktneb3WoEWRG6skTG4f3fmSxmJ0mSYDEwkeuQagxMSLJPDAwQM1DUBp0oRgA7P96twlQyq6tHZjjtpHJ0K/YCMKfA+OUUamt/jzxFXhdYnchMu5HkIF4bjQ2rIc5II4SBn8wzGQfTHgjLPnqxFJgUWwmwhd0mOzg2LtRjQjYCLG6oaQfx2kslY+i5+xLBqvCKpMA4HA6UeJkbKcMKTFgM16jIiDPSCGFwOBxZqcbL1BeX0yFEKwFXmi4k9ns2sV9kQ0x9PfyC1FLRSosXRT0yi953lYgOgRo58siBvO0ZVmBCFMSbbejKElnB58p8JlIs/sUNhwD9gdiCnGorgZAAFWrNwIza+CBeMaR2j0Y/p6DNKvEyPCkoMC1yo1Xrby54in2R8820C8luAd5WxB4zI2E5spFKHYt/sb77CIgpMGYWAR67xcC4da6HCL2QAK45p2YvJGufu1nkeCUTMTCHm9oBAD1KC5IcaS2yVQsmFBZDWRQZurJEVsiKAcOq8AoQ/wLwabcpKjAhexkwHo06KoA4RoDcUZszwORFyibfESOVGBhWzZZ1eBaFkoLs1IIRpUCjyFh7xiCEJRYDk7nAOJEykAAuayXtbtT2mAA9GgYAwDVEtPhEr2WQBmzasE8vYywRhxsjCkxVmVgKDOtsn/ksJHvdv1aEDBgiKzB3QCbTqEWqAQNwWUiURg1Avw5MIBitZmt5BSZeQZLjlCxufJlFz92XiEOyASOYApMlF5IoyqLI0JUlskJ2YmDEciGlm4Vkp2aOAO+WULmQBFFgtLqLB22W6s5IJQYm5kISS4FhLqRMGzABQcoDiIy97jrCMmQnBkY0F1J86XmjSJJkOwNGV4ERJI3arbGo2zULKZUYGBbEK5oBw9KomzJowITDElhnAlJgsgddWSIrMHdANurAiKLAyLU0UnAh8aKNXRZHvV293MzR4iqGlqIWtK0LKRYDY6RHUCAUxtFmPwDxDJhsuJD4Fgx22YBYEWvPGISwZDULSZA06gJP5Bq0p9BjJWjDCTDWS0i7maPVjQCtIOSQTYuV8fFIRlygR5oi7iOPy4EuRWLcn4ziaN2aTFbi5Y10qsSbPex11xGWwZfVOjBiuJBK0pCm+UwXuxgwHlbIjhsTkiQJ1Mwxev6KLCR7ZprwxqQRBZFl8JQWeIQoMslTFM1CavVnToF59+sD8s92i4+yEnRliayQlVYC0RiYUp8YOzy+voQRGZ4naEcDRsMFwxtqVt+paiowggQgm4X/PEY6UrPv0SmY8QIAPk9m56rDTe2496118mO7GbdWggwYIit4s9FKoF0sFxJTYCQJaPWbk6fD3MJulx2cRyMuKqgwYKz9OTVjYGzazJGPRzKiwMQCzrN2Slkj03NVq8oV5bTZ2LASAg43QgSYApOVOjCCuJAKPS6wuctskSx+kbTL/KeVxcMbM1ZXMbSCkINhe8bAOJ0OedypCw9qEWY1iwRUYDIdr5dJ1ZlIjL3uOsIyZHpSkCRJuCwkh8MhqzBmDRg+hVq0mAI9vBqpuYpgR4sbAW6NZo6xfjf2+I543CYyCWUXkoDWts8dCeLN1GYrlaB9IjWsPWMQwuJ1RSaFTO1G2gNhuV6IKC4kIBLUCADN7akbMHZBq5ItM2ZcToflFz++mSOLaeLP3254TRSzYwqMiDEwmd5sZVJ1JhJDBgyRFTI9KTD1xemIpT2KQLoKjJ1iK7QK2ckN7wT4nPw5Mg+fHb8nhpbipAe7HiIacry722ywvRakwOQOUwbMjBkz4HA4FP8GDx6sOGbJkiX41re+heLiYpSVleGCCy5AW1ub/Hp9fT2mTJmCsrIyVFRUYOrUqWhubla8x9q1azF27FgUFBSgtrYWjz76aBofkcgHXp3GfakSi38RK02z2BcxtppMKjBybIVAnzUZWlk8bHdv9T5IgCozJ/oZYoXsrH/+ZuEVp2TEspCyekpZgZV82N/QhhG/+Rgrd9Wn9X7tAVJgcoXpu27o0KE4ePCg/G/x4sXya0uWLMHEiRNxySWXYPny5VixYgWmT58OJ+fbnjJlCjZs2IB58+bhvffew6JFi3DTTTfJrzc2NuKSSy5Bnz59sGrVKjz22GOYMWMGXnzxxTQ/KpFLYv7z9Hc0QCwDqbRAjABeRglzIZlWYKKuCRvFVng0xoSswAjwOT0axd2CAilIZokZnAZcSAK7PJkCA0TmmemvrU7r/UiByR2mVwO3243q6mrN126//XbceuutuOeee+TnBg0aJP+8adMmzJ07FytWrMCoUaMAAM888wwuu+wy/OEPf0BNTQ1mz54Nv9+Pl19+GV6vF0OHDsWaNWvwxBNPKAwdwtq4M6zAdEQnhUKPOO4jAChlLqSoC8wo7LLZaWHUGhMBgTr28t9FUK3A2Oh7Ysj9kIzUgRE5BkY19sJpupF4A+bRq4en9V5EYkzPGlu3bkVNTQ369++PKVOmYM+ePQCAw4cPY9myZaisrMS5556LqqoqXHjhhXEKTUVFhWy8AMD48ePhdDqxbNky+ZgLLrgAXq9XPmbChAnYvHkzjh8/nvIHJXKLh+ulkglYYBzLGBAFuc+KyTowLO5AxAVBD2+CGBgRXEi8usDGtRxsLcD5m4XdwwEDcWwiB5373MrvLt17js1VE4ZW4Xtn1ab1XkRiTN11o0ePxqxZszB37lw8//zz2LlzJ8aOHYumpibs2LEDQCRO5sYbb8TcuXNx5pln4uKLL8bWrVsBAHV1daisrFS8p9vtRteuXVFXVycfU1VVpTiGPWbHaNHR0YHGxkbFPyJ/MPk5U1lIHcGIAaCebKwOq8ZrNgbGjsGhsV5IGt2cBXAhORwO+TMwt0rApoXsAK7ujYFNiMhZSOpNUbpfJVNgCgRTi0XElAvp0ksvlX8ePnw4Ro8ejT59+uCNN97AqaeeCgD46U9/ih/96EcAgDPOOAPz58/Hyy+/jJkzZ2bwtOOZOXMmfvOb32T1bxDGiRUty2xqIiv7LQrFchaSWRcS29mLtyDoodULiRkAVq/Cy3C7HAiGJVk5klsJ2NCAcWvU7dGDeZmsngqvhVe1KUo3SYDNVQWCqcUiktasUVFRgVNOOQXbtm1Dz549AQBDhgxRHHPqqafKbqbq6mocPnxY8XowGER9fb0cV1NdXY1Dhw4pjmGP9WJvAODee+/FiRMn5H979+5N56MRaWImANAIbFIQwdXAE4uBMafAxHb2Yn3eRGi5FUVKowZi34ccxCtnIYlx/mbQqpysR0iuxJvVU8oKagMm3VuOKTCibbZEJK0r3NzcjO3bt6Nnz57o27cvampqsHnzZsUxW7ZsQZ8+fQAAY8aMQUNDA1atWiW/vmDBAoTDYYwePVo+ZtGiRQgEYjvWefPmYdCgQejSpYvuufh8PpSVlSn+EflDq+9NOggbA1OQWh0Y1hm3SKCaN8nQ2tEHBVRggJjyws7fbq0EgFjzTSOF2UTOQnI5HQoDOl03GLmQcoepu+7OO+/EwoULsWvXLnz55Ze46qqr4HK5MHnyZDgcDtx11114+umn8eabb2Lbtm24//778c0332Dq1KkAImrMxIkTceONN2L58uX44osvMH36dFx77bWoqakBAFx33XXwer2YOnUqNmzYgNdffx1PPfUU7rjjjsx/eiJrmNm9GaFD0F1NebRqcH2L39TvseaPxV6x0sYToVXIjhm4opTiV9dGkVsJCLhwJ4MZa9Ne+wrbjzQnPFbkLCRAqcJkKoi3QLB4PRExNTvu27cPkydPxrFjx9CjRw+cf/75WLp0KXr06AEAuO2229De3o7bb78d9fX1GDFiBObNm4eTTz5Zfo/Zs2dj+vTpuPjii+F0OnH11Vfj6aefll8vLy/Hxx9/jGnTpmHkyJHo3r07HnjgAUqhFgw2oRup4mkEv0DZKjy9uhQCAPYeb0typJKWqGJT5LPPLk7LrRgUKI0aiP8MLMVYROUhGbwq9velu/HgFUN1jxU5CwmIGDBs05CuDRZzIdnn3rUqpgyYOXPmJD3mnnvuUdSBUdO1a1e89tprCd9j+PDh+Pzzz82cGmExtPrepENHQMwg3t5diwAAR5o60OYPodCgS8jOCgzvVmQGriiGqUtlmIdsHAPDK2XVZQUJjxU5CwlQjr90q1+zSrzkQso+YswahHB4TGQwGEHUGJjyQo9cPXjv8VbDv9diwxiYLsWR2k5Hmzrk51ivLFEMAHVqcdCGwdaM3cdi4zVZA1WRs5DUZC4Gxn5jwmrQFSaygifDMTB+2YARa8g6HA5Zhdlbb9yAae2IKjA++ygw7DocbGyX6/rEKtmK8b3KtWzkSrxiZVGZ4eCJdvnnZBsRkbOQAGX13bRdSIJutkREjFmDEI5Y0bLMFrJTpzyKQG2XyMK9x4wBE3UhGXU5iUC3Yi8KPS5IEnCgIbI4ypV43WKsfOrgdDs3c+RJ1lVe5CwkINZNG4i5BVOlgxSYnEFXmMgKctGyTu5CAoDe3VIxYCIupGIbGTC8GsWuhWj1bphhHlK3EhB04U7EjCtiNb2SxbKJnoXEGy1G0sYT0U6F7HKGGLMGIRxy0bIMF7ITzYUEAJWlPgDmUqlZ76QiGwXxAkBt12hWVtSACcpp1GJ8r+paNkEbtxL4r/P64btnngQg+UaEKTCiGjBhhQGTXjfpDqoDkzPEmDUI4YhN9OkbMLOX7ca/vz4AQEwXEotjaTFRzK41emyxjdKoAaBWFQ8UEKwOjLqasEi9nFKhrCASvJs0BkZwJYqPgUlbgSEXUs6gK0xkBa2iZakQCIXx67fXy49FVGBi/ZCMGzCxLCR7KTC9ovFA+xoidXFkF5IgBoC+AiPeuDSC0aasTMAQNQspxBkwyeJ9ksHSqEV0d4uGPe86Iu/ECn6lNxkca1a6XUQsDsXiWFhgrhHkOjA2U2BKop+HyewBwVxILlUMTFBw5SEZ8kYkmFhJDYuehcRNU+kqMMwFRQpM9qErTGQFuZBdmhH9R5s7FI9FKXjGk5IC02FPBcalKsXPDABRDBh1eQC5lYCoK3cSjCqp7DqIqsDwLqRQWEpr40WF7HKHGLMGIRweZ2YK2akNGNEq8QJAickYmJ//YzW2H2kBYK9KvEB8Fo9oMTDq8gDs/O2qwHgNZhPG6sCIeR14AwZIXYXpCIbQFrBfDSerIt5qQAgB27lJUnp1FY6qXUgCxsCwarqsOF0iQmFJDlgG7NULCYjFkARVBoAoMSR6Cowo528WwzEwomchqaaoVONg6qLF/wo8TnQpSly9mEgfe951RN7hgzLTUWGOqRUYAQPjZAXGH4QkJTbmWAYDw64KjFwILiSWCybWC0mCJElcITsxzt8sHoM9zdgtLqoLSU2qCsz+aHB6TUUhHIIacyJBBgyRFfiYhmBaCozagBFvyDIpOSxBlpf1UL9up0q8QCwGho0Jv2BBvG4uOJ1XFu1YBwbgg3iTZSGxYOasn1JWKFG5e1KtBXMwWmG6prww7XMikiPocCOsDr8gJZv8EhGXhSSgAVPIBfO1JHEjqRUYOzVzBGIGgJzFI6dRi/G98nVgeMNclPM3i9dgEG9Y8BiYWT86C/17FMuPU3UhHZAVmMTdu4nMYM+7jsg7LqdDboqWTj+kIzZwITmdDjmVOlkgL8tgYIiiTBhFrxmiVxAXDF8HJtgZFBi3sRgY0bOQRvXtigW/HIfqsojhkaoL6cCJmAuJyD72mh0JS5GJdgLqIF4RK/ECXDVefzIDJqbAvH/r+Vk9p3ygrqPiD4qlwPBZVCFuXNs1C8lwGrXgvZAYLMsxVRfSfuZCIgMmJ4gxaxBC4nGln0rd0Cq+Cwng2wkYcyH17VaEoTXlWT+vXMOydULqUvyCGABuLqg1yCmLopy/WYwG8YrejZrB5peOQGpz1kHmQqIYmJwg5mpACIHb4OSXCLWUK2IdGCBWUdeoC8muRbBiadTKOjCiKGt8EC9fhdeuGSdGY2DkLCTBrwNzUXekuOlixSrLCymFOheIMWsQQuJR1fxIBXUwnYiVeIFYOnQyFxLLQhKxZYIRYmnUrA6MWHVU3Fwatd3bCAAxBSZZUKvoWUgMb5oKDDVyzC10lYmswRalZH1UEqH2RYsSK6HGaEdqNgEW2nQC5OuoADFDRpQ6MG45Cyksx8B4bG3AGHMDi56FxJBdSCnGwNhdQbUa9qqSRVgKlsGQahZSOCzJO/TuJV4M71WRqVPLObF+SMZiYOw6AbIdfayVgGi9kGKF+Ni4trUC4zbmBhY9C4nBSh6oyxkYQZIk2fARNVZPNMiAIbJGullIfOrmgjvHoVTg3iIlhmNgogaMgOniRnCp0qjlVgKiKDBcXJfcRkAQ4ysVzNaBET0GpiBa7qDNROd4RiAkyS0J7OoCthr2vfOIvMMHPKYCH8Bb4HYJHSjJggOTxRIwCdpuFXgZ+s0cxZiKYjEw4VgRPsFVh0SY7UYtuhrFFJi2FGJgeLcTKTC5ga4ykTXkAMCUDZjIhOBwiBMjoYfRWAK7BwEytUKOgQmL1QtJGcQrVgp4KsjNHJMY3nbJQooZMOYVGLb5cDjIgMkVdJWJrOF2pedCYpkAXpdTaPUFMG7Mtdk8BsatCuJlbSaEyUKSxzSXRi2I8ZUKRsetZJMsJKZ8phIDw37H5xZ/vhIFwYcbYWU8nNyeCmzStMNuxqgUb/csBr4SryRJ8EeNW1HqwPBBvMzAFrG9hVG8RoN47RIDk0YQL3N523k8WA0xZg1CSGK7tzQVGBtMCPJCkCSlvD1o7yBeD6e0hMIS/NHPK4oBw7ppB8IS2gKRgGy7Ndzk4bPG+O7bauwSA8Nct6kE8drd/WtF6EoTWSPdIF47KTBGsznaoxNnoVf8z6wF724JcmnyohQo9MjdtMNo89tbLQOUsUmJxq5dspDSiYGJpVDbdzxYDTFmDUJIPGnHwNinpoIcDJnMgAl2jhgYIGLA+EVrJeCMuVTa5KKD9vyuAGV2WCIDhurAxBRjUmByB11pImuwxSrVLCTRFrdExAqCGYyBsekujjdg/MGwvPCJosDwqmKbv/O4kIDEcTBsWIteiZcF8aaUhWTzzYcVEWPWIISELdop14FhQZI2mBCMdvVlvvcCmy6KfIwEv0h4BDFS+To2nUGBcTkdccUHtbBLFhIzPlKJgYkFdQt+EQSCrjSRNdiN3J6khoQecgyM6LMiTMTAyEG84n9mLRyO2ILYxjW2FEeB4VxILAbGpsYmw0gtGLtkIcVcSObnLFJgco8YswYhJKwDc2uS8vl6yEFxNvApG+3qa/c0aiCmYrRyu1xRCtnxpQGYAlNk4+8KMFYCQI6BEdyASSeNur0TpNVbDfFXBsKyyB2YU5BjgdhiL8ruPBFmK/HatZUAEG/AiFSokC/OyBQkO39XAK8e6rs/5W7UNgniTSkLKWCfDZco0JUmskZxdGJv9aeqwLAYGPGHqdGuvnbKvNIj5kKKfFZR1Bcgdu5BLgbGzmoZYFKBEd2AiZYvSC2I194B+FbEvrMkkXeYAtPckZoCw7cSEB2jMTCs6J8ozQ1TgakYsgIjkLHm4bOQouPTzllIAOBxRz5zRwL3Z9gmWUjpBPG2kwKTc+hKE1mj2BdVYFKMgYkVshN/gTDaU4a1XRBJlTALcyGxXa5IBoybr8TLXEg2V2CMdFIP2yQLiX2XHcEwwgkqD2vRQQpMzhF8uBFWpsjLFJgUXUgCLnB6GI2BYc0Nba3AqLKQRPqsSgXG/vFKQMydyYLqtbBNFhL3XbYn+LxaUCuB3ENXmsgaJVEX0rKd9Xh6/la5VoRROmzUSkCOI0jSCykQtr8LibUTENGFpIiB8du/DgwQu/8SKjB2yULi1BOzqdTUzDH3iDNzEMLBxwY8MW8LFm45Yur3Y4XsxB+mXoOVeNnrbhu7kFhDRz4LSRT49hgsBsb+CkzMraJHyCZZSE6nQ75XzQbykgKTe+hKE1mDBfEyDjd1mPp9uZWAS/wFwkgMTCgsgYlUIi3qZnGJHAPj4urAdJIYGK/sQko0diP/i56FBHCp1CYDeakSb+6hK01kDbUBY3ZRtpMCYyQGhn/N3QkMmFYBY2BiZfUlWUGyvwKTOAamIxjC8RY/APGzkIDUGzp2UCXenCPOzEEIB8tCYpidEGIKjPjD1EgxMN6AsXMWkkedRi3Q98vcX0Ds/O2uwLBeZB06MSGX/HER6hrbAQBOcb5KXVJt6NgZqmhbDRsMN8KqsFYCjKZ2c9lIdqpsyRbtUFiSi36p4Y0bjx1WAh3iCtkJJLnzsUksu67zKDDxBowkSdh9rFV+bAcFJtVaMO2doAil1aArTWQN9c60qT1g6vc77NRKgJvU9NxI7HmX02GLWAI9tFoJiIKWu6vI49Y40j4kykJqbFNuSuwwbgs9qQXxdpa0eishzsxBCId6Mms0qcD45VYC4k8IvEsomQHjtsEikAimYsSCeMX5vFpZNgVee0+j3gQxMMdalIH5oqdRA6k3dJSbe3rtbdBaCXvfeYSlaDStwIi3Q9eDdwnpxcGw5+3weRPBqtm2CajAqI1Lp0Os80+FRGnU9dHgXYboadRA6kG8naUukJWw951HWAqzMTByKwEbxMA4nQ558dNTYILR50WKCUkFdRaSSGnUDodDYcQUe93CdNJOlURZSMfUBowNrkWBN7UYmJgLSZzxLDp0pYmcYToGxmZ1FeRaMDr1NPydxIXE3GmxbtRifb98IG+Rz/67bbaB0MpCUiswdog9l+vAmKzEy8YzZSHlDhsMN8LKnNm7Qv7ZqALjD4axZPsxOcvDPgZMZOHTK2YX7ASdqAFOgRGwkB0Qc4EB8Zl2dkRu5qgxbuMMGBsoMDEDxrgCEw5LsouNXEi5Q6yZgxCO2T85B49cNQyAcQPmt+9vxOS/LMXBE5HaEnbpLZKsnQB73s41YICYASBiFhLQCRUYt3EFxhYxMF7zMTB840fKQsodYs0chHAUel0Y1bcLAONBvH9dslvxWLQduh7JGjoGOokCwwwA5koT7fvlFZjOkHGSKAvJjgpMKllIfLxMgU02XCJgauaYMWMGHA6H4t/gwYPjjpMkCZdeeikcDgfeeecdxWt79uzBpEmTUFRUhMrKStx1110IBpU7888++wxnnnkmfD4fBgwYgFmzZpn+YIR1KC2ITPJN7UHTHakBO7mQEvdDijVytMfn1UO9SxfNYOMVshKf/Q2YRIXs4oJ4baDAsGaMZoJ427hGjnaohSMKpu++oUOH4pNPPom9gTv+LZ588knNyPxQKIRJkyahuroaX375JQ4ePIgbbrgBHo8HjzzyCABg586dmDRpEm6++WbMnj0b8+fPx09+8hP07NkTEyZMMHu6hAUoK/AAiFShbQuETO9aRduh65GsH1IwzAr32XsCVAcpi/b98udb1AncBYnSqI/bMAsplRgYptZQ/EtuMW3AuN1uVFdX676+Zs0aPP7441i5ciV69uypeO3jjz/Gxo0b8cknn6Cqqgqnn346Hn74Ydx9992YMWMGvF4vXnjhBfTr1w+PP/44AODUU0/F4sWL8cc//pEMGEEp8rrgcACSFCm/nsyAYccy7BIDw5SGfyzfg9H9usYZ+f5g53AhuVSpKqJ93vJCj/xzpwji9ei7kFo61JV4c3JKWSWVOjCdpS+W1TA93LZu3Yqamhr0798fU6ZMwZ49e+TXWltbcd111+G5557TNHKWLFmCYcOGoaqqSn5uwoQJaGxsxIYNG+Rjxo8fr/i9CRMmYMmSJQnPq6OjA42NjYp/hDVwOBwJAwHViL5D14N9jv9bcwCLtx2Nez3mQhJ/F5sIdZCyaN9vRZFX/rkzBfFqpf+3qtwsdoiBMdPM8URrADPe3YBlO+oBxGrIELnB1MwxevRozJo1C3PnzsXzzz+PnTt3YuzYsWhqagIA3H777Tj33HNx5ZVXav5+XV2dwngBID+uq6tLeExjYyPa2tp0z23mzJkoLy+X/9XW1pr5aESWYYFxWrs4NW7VNs4uMTDNXBbWocaOuNeZC0k0RcIs6krEornMuhR1MgUmQQwMK0bIsEcMjPFCdn/8ZAtmfbkL//PBJgCkwOQaU3ffpZdeKv88fPhwjB49Gn369MEbb7yBHj16YMGCBVi9enXGT9II9957L+644w75cWNjIxkxFoJNgu1GFBiXA4gmLDkd9instuNoi/xzgUZ14UAncSFtOqhUR9W7eKtTwbmQOocCE918aNy7apXCFgqMiUJ2u461KB6TAZNb0popKyoqcMopp2Dbtm1YsGABtm/fjoqKCrjdbjm49+qrr8a4ceMAANXV1Th06JDiPdhj5nLSO6asrAyFhYW65+Lz+VBWVqb4R1iHWCBg8sWKX8C9bqctS7VrGXKBcOeoA8OUJkYobD4zLZ/wLqTOpcAo791AKBynptlJgekw4ELijVmAasDkmrQMmObmZmzfvh09e/bEPffcg7Vr12LNmjXyPwD44x//iFdeeQUAMGbMGKxbtw6HDx+W32PevHkoKyvDkCFD5GPmz5+v+Dvz5s3DmDFj0jlVIs8UJChHroZXXOwSwAsA40+tlH/WChAMBDtHGvVDV56GIT3L8F/n9sXlw3vimlFiKaUKF1KnSKPWzkLSihGxUxbSjqMt+HTz4YTH8sYsQG0Eco2pu+/OO+/EFVdcgT59+uDAgQN48MEH4XK5MHnyZPTo0UMzcLd3797o168fAOCSSy7BkCFDcP311+PRRx9FXV0d7rvvPkybNg0+nw8AcPPNN+PZZ5/Fr371K/z4xz/GggUL8MYbb+D999/PwMcl8kWiVEw1vAEjWoBnIp74/um46LHPcKzFr2nABMOdoxv1mb274INfjM33aaRMl2JegbH/gsWykNRBvFoxIg4bDF2+GeOPXlmBnTMv01WBy1UKTGdIq7cSpobbvn37MHnyZAwaNAjf+9730K1bNyxduhQ9evQw9PsulwvvvfceXC4XxowZgx/84Ae44YYb8NBDD8nH9OvXD++//z7mzZuHESNG4PHHH8dLL71EKdSCwxQYI6mJLhevwNhgRoxSVuDBxVEVRsuQ6yzNHEVHmYVkfwWGGdTBsCR3TAe0Y5fsMHLVKkpzh34LFPUGi2Jgcoupu2/OnDmm3lyr6mqfPn3wwQcfJPy9cePG5S0YmMgOZhQYj1MZA2MnEpUpl5s52uwz2w1lFpL9FywfF3DuD4VlFyfLQKos9eGqM04CAJQWeOLfQDDURsiJtoDu51LHb5ELKbfYf/tAWAK9QEAt+DoodnOnJDJgWB0Yu31mu1FRyCkwnSCIlx+PHYEwmADFXEhFXhfuvezUfJxaVlAH4p5oC6BXF+1jgyoDhoJ4cwvNlEROiC3cRmJg7DssCxKkk7OMDnIhWZuK4thu3A5ZN8lwu5zymOQVVLn6rM2MOHUzxhNt+k1oQ6qMOnIh5Rb7rhSEpTCjwPBpxCn0frQ0PgMKDLmQrE0pF/fSo9SXxzPJHVrVeGPl8+01Xp1OB0b2iUkujQkMGLUCU11WkLXzIuKx18gjLIvPhALDI8FeFozcZ0UjFogFSHo6wa5eZBwOBz667QK8/bNz0bXYm/wXbIBPo5J2WyASA2NHN9rrN52DsQO7A0iiwKjq4Hz79JqsnhehxH4jj7AkZhQYfldjNwUmUQyMP9Q5KvHagUHVpfk+hZzC4mC0XUj2c5u4XU50ixqnjW36WUj8XPXhL8ZSEG+OIQOGyAk+E4Xs+Mh+m9kvmunkzR1BzNtYh/qWSH8kuxeyI8RDqyM1H8RrR1iNl8QxMJEZ6hcXD8SpPan6e64hA4bICSwwrt20AmMvEyZWpjxmyD3wznq8tXq//NjurQQI8dDqJt9KBow8V1HgfX6grR6RE8woMHyxLJvZLzEFhjPkeOMFIBcSYT206jjFgnjtuQ8uM6TARK6HizYdeYFmSiInmClkF7SzC8kdHwOj3sGSAUNYjVgMW+z+ZWOYFBhSYPIFzZRETjDTSiBkYxeSVjZWiaocPbmQCKvh1QjCZ5V47RjEC5iLgXHZuHaVlaGrTuQEUmAiaBlyJQVqA4ZuS8JaaCkwdo+BMeJCIgUmv9BMSeQEtnAv3HIES7YfS3gsr8CEbabAaKVRl6oUGDcpMITF0NqAsDFs19ThPt2KAAB76ls1O28DsTownaEisxUhA4bICT6uPPfkvyxNeKy9g3jjC9mpFZhuxZ2juishDrEg/NhCzowZO3WM56kuK0D3Eh9CYQkbDzZqHkMKTH6x58gjLIeZSY53If1s3IBsnE7eKOBKsoejn9PpUE5+p1SV5Py8CCIRcisBbnMRM2DsqcA4HA6M6FUOAFi7r0HzGDkLiQyYvEAGDJETzMjMzIB59cdnY/LZtdk6pbzAXwe2AKjjgrqVkAJDWAuvRh0Y1hfJa1MFBgCG96oAAKzdd0LzdVmBIbdvXrDvyCMshRkFhsXADK4uhcNhr4mBN2BYDIGRwGaCyCdaMTCdwYAZVB1RQ3cda9F8PaSjohK5wb4jj7AUagUmHNYObpEkiUtNtN+k4HI65DRpVsyO7/Br13gCQmy0epmxn702zppjmUhN7dr9kGIxMPa9BlaGrjqRF/RUBz4Dya6BcbFidpFr4OcWhYevPC0v50QQidBUYKLxMCzA146UFTADRjuV2s6bLRGw78gjLEVNRYHisV5BOz6A166Tgk+VSs0WhcevGYFrRvXK23kRhB5arUBkF5KdFZioAaPXkZqykPKLfUceYSlKCzz48p5vyY/bDBgwdpVlWU0cdg3YQjC4p/1ifgh7wIwUPgvJb/M0agAoK4yUOGgLhBAIxavG1Aspv9h35BGWo6aiEKXRmid6CgwrDAXYN7JfXczO7umohPgkqgNj5yBevs2HVhxMMEQKTD6xZxtRwrIUelxoag8mUGBiuxyXTdWIApUc3xl2soTYJMpCsrPh7XY5Uex1ocUfQmNbAF2LvQCAjzbUQZIoBibfkAFD5JQCjWaGPLG0RMBp00lB3ZFaDoYkA4awKOospHBYkt29dlZggEgmUos/JCswLR1B/PRvqwAAlaWRmk12dXdbHbrqRE4p1OgFxNMZ0hJj7QRCCIbCstFm94WAEBd1M0c+Fsbu45a5vRujmUitfr4jd+RnUmDyg71HHmE5tLox8wQ7QXO02DUId6qFgBAXljnH3EZ8NpKds5AAPhMpYsDwwbxsHqMYmPxg75FHWI5kLiQWA2PXAF5AmUbNF7Gz+0JAiAsbm3L7i1Bk4XY4IBdmtCvqYnZ8HFCQYmDyCs2YRE5hBoxeEG+oE9RV4AvZscnQ5XTATQYMYVHkLCRV9Wivy2n71H+1C0lLPbbzhsvK0IxJ5JREMTB8YKDL1jEwMTcaZSARIuBza2fOdQa3p9qFpGnA2HjDZWUoC4nIKXoxMC0dQUx4cpEsxdp5QuCDeDtDLQ1CfNRp1J2pdlFMgYl3ITHsvOGyMmTAEDml0KutwKze04B9x9vkx3b2KfN1YDpDQzxCfNRp1J1JOSxlCkwiF5KN5ysrY//RR1gKtmNTx8CEJGV3ajv7lPk6MPJCYOOGeIT48MH3obAkZ891BuVQ3nBE71WtBAQ7b7isjP1HH2EpYgqMchJg/mWGnXc0fCuBjk7QEI8QH+ZGAYDmjmCnaOTIYEaanEIeJAXGKth/9BGWokBHgTkRZ8DYd2gq6sB0olgCQlwKPC7ZXdTYFpAX8c6gHMqNLDVq4DBIgckP9h99hKUo9GoH8TL/MsPOE4KPC+LtTNkchNjw9VA6swLTrqnA2P86WBG66kROYe4T9S4mToGxcwyMlguJDBjC4vD1UDrTuGXKE4v70Qriddl4vrIy9h99hKXQK2TX2KZsVa8l09qFAjffSiAqxXeChYAQG74eSmcyYOJiYDTmJoqByQ/2H32EpWCF7Fr9SoNFHcR7rMWfs3PKNQUarQTIgCGsDnMhNXIupM4wbr0uZR8oLReSnV3eVobqwBA5pdgXVWD8ITS2B/DQvzdic10T1NXIj7V05OHscoPsRguG0eZnwZAUxEtYm7KoC6mpPQBW9cDbCYLPWaByzIWkEcRr83YKVoUMGCKnFHkjQ67FH8JjczfjzVX7NI9TlYWxFXw1YtYgrqyAbkXC2rCCbp9uPoJFW44A6CRBvOosJJUC43QATlJg8oL9Rx9hKYqjBkxrRxCb65ryfDb5gXchNXdEDJgSHxkwhLUpK4yMUWa8AJ0rBkavkB1lIOUPuvJETimKupBaoi6kzgjfjbopasCw3S1BWJUyjTHq1+gLZDdiQbwR5UWdhUTxL/mDDBgip8gKjD8YlzoNAEN6luX6lHKO7EIKxlxIpMAQVocF8fJ8va8h9yeSY2QXkk4MDGUg5Q8yYIicwhSYQEjC0eb4QN0/Xz8SV55egzd+OibXp5YzCqLtFCQJqI8GK5dQDAxhcbTitM47uVseziS3+JK0EqAaMPmDZk0ipxRx2TaBUHykbq8uhXjq2jNyeUo5h6lQAFB3oh0AUEoKDGFx1C6kIT3LcMclg/J0NrmDuZDCEhAMhePqwJACkz9IgSFyitvl1K0d4XM74egE6YgupwNFURVGNmAoBoawOCyIl/Gzi05GuYZbyW7wgcodwXBcHRiKgckfZMAQOadYR20o6ES1UFjMS0u0Dgy5kAirU1HkVTzWu4/tBp8q7g9qKTC0jOYLuvJEzmHqg5rCzmTAqAwWCuIlrE63YqUB01ncnm6XE0xk8YdIgbESZMAQOYePAeFh2TmdAfXkX0oKDGFxygo8isW6M6mGzI3U5g9hT32r4jWKgckfnWfFICwDy0RS05lcSOqYF1JgCKvjdDrQpSg2bvU2InaEuZHuevPruCrhpMDkDzJgiJyjN/F1pn5AvMHidOi71QjCSvCZSJ1JNWQ9n1bsOg4A+NbgSvk1MmDyBxkwRM7RW6wLOkFZcgYvv5f43J0i+4oQHz4jp7ME8QLKrtu9uhTihjF95MedyZCzGqZWjBkzZsDhcCj+DR48GABQX1+Pn//85xg0aBAKCwvRu3dv3HrrrThx4oTiPfbs2YNJkyahqKgIlZWVuOuuuxAMBhXHfPbZZzjzzDPh8/kwYMAAzJo1K71PSVgKfuLjI/w7kwuJV2AohZoQBd6A8XSCRo4M3oC5eHCl4jqc2gmqh1sV06bj0KFD8cknn8TewB15iwMHDuDAgQP4wx/+gCFDhmD37t24+eabceDAAbz55psAgFAohEmTJqG6uhpffvklDh48iBtuuAEejwePPPIIAGDnzp2YNGkSbr75ZsyePRvz58/HT37yE/Ts2RMTJkzIxGcm8gyvwNR2LcT2Iy0AOlkQr0qBIQgR6Azdp7XgDZYzendRGDRDa8iAyRemZ063243q6uq450877TT861//kh+ffPLJ+J//+R/84Ac/QDAYhNvtxscff4yNGzfik08+QVVVFU4//XQ8/PDDuPvuuzFjxgx4vV688MIL6NevHx5//HEAwKmnnorFixfjj3/8IxkwNoGPgZswtBp/+mw7gM6lwPAGTI9SXx7PhCCM0xm6T2vBf+7KUh+8rthcNaRneT5OiUAKMTBbt25FTU0N+vfvjylTpmDPnj26x544cQJlZWWySrNkyRIMGzYMVVVV8jETJkxAY2MjNmzYIB8zfvx4xftMmDABS5YsSXheHR0daGxsVPwjrMmOI83yz0NrYjc/69LcGSjxxdxGAypL8ngmBGGcTmvAcMpT91IfAuFYMbuBVXT/5gtTo3H06NGYNWsW5s6di+effx47d+7E2LFj0dTUFHfs0aNH8fDDD+Omm26Sn6urq1MYLwDkx3V1dQmPaWxsRFtbm+65zZw5E+Xl5fK/2tpaMx+NyCHTLhoAAPjvywYrpNjCTpSJwwfxnkwGDCEIY/rbv3mjFk4uyL5HiQ/DTyrHuEE9cMu4kzuVcmw1TLmQLr30Uvnn4cOHY/To0ejTpw/eeOMNTJ06VX6tsbERkyZNwpAhQzBjxoyMnWwi7r33Xtxxxx2KcyAjxpqMHdgDmx6aiAKPE4u3HZWf93WmGBgu7uXkHsV5PBOCMM6Pz+8Hl9OBC07pke9TySmN7QH55/JCD5xOB2b96Ow8nhEBpNmNuqKiAqeccgq2bdsmP9fU1ISJEyeitLQUb7/9NjyemFReXV2N5cuXK97j0KFD8mvsf/Ycf0xZWRkKCwt1z8Xn88Hno1gCUWBqiyILqRO5kHgpnlxIhCh4XE78ZGz/fJ9GzmlsixkwTqr7YhnS2vI2Nzdj+/bt6NmzJ4CI6nHJJZfA6/Xi3XffRUFBgeL4MWPGYN26dTh8+LD83Lx581BWVoYhQ4bIx8yfP1/xe/PmzcOYMWPSOVXCovDF6zqTFMsXBOtRQoY3QViZxvZg8oOInGPKgLnzzjuxcOFC7Nq1C19++SWuuuoquFwuTJ48WTZeWlpa8L//+79obGxEXV0d6urqEApFml9dcsklGDJkCK6//np8/fXX+Oijj3Dfffdh2rRpsnpy8803Y8eOHfjVr36Fb775Bn/605/wxhtv4Pbbb8/8pyfyDh8D05nSqIf1Ksf9lw/BKz86i4rYEYTFae4gA8aKmHIh7du3D5MnT8axY8fQo0cPnH/++Vi6dCl69OiBzz77DMuWLQMADBgwQPF7O3fuRN++feFyufDee+/hlltuwZgxY1BcXIwf/vCHeOihh+Rj+/Xrh/fffx+33347nnrqKfTq1QsvvfQSpVDbFK+7cxayA4Cp5/fL9ykQBEEIiykDZs6cObqvjRs3DpK6y5UGffr0wQcffJDwmHHjxmH16tVmTo0QlM6qwBAEIQ5Da8qw4UAjzuhdke9TITioBCiRV3xc4G5nCuIlCEIc/nz9SMxZvlfRA4nIP2TAEHmFT52m6H6CIKxIry5FuHPCoHyfBqGCNHsir/Bp1E4KZiUIgiAMQgYMkVf4GBgSYAiCIAijkAFD5BU+hZgEGIIgCMIoZMAQlqG2S1G+T4EgCIIQBAriJfLOmzePwaHGDgysKs33qRAEQRCCQAYMkXdG9e2a71MgCIIgBINcSARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCAcZMARBEARBCIdtu1FLkgQAaGxszPOZEARBEARhFLZus3VcD9saME1NTQCA2traPJ8JQRAEQRBmaWpqQnl5ue7rDimZiSMo4XAYBw4cQGlpKRwOR8bet7GxEbW1tdi7dy/Kysoy9r5EDLrG2YWub3ah65td6Ppmn3xfY0mS0NTUhJqaGjid+pEutlVgnE4nevXqlbX3Lysro5sny9A1zi50fbMLXd/sQtc3++TzGidSXhgUxEsQBEEQhHCQAUMQBEEQhHCQAWMSn8+HBx98ED6fL9+nYlvoGmcXur7Zha5vdqHrm31Euca2DeIlCIIgCMK+kAJDEARBEIRwkAFDEARBEIRwkAFDEARBEIRwkAFDEARBEIRwkAFjkueeew59+/ZFQUEBRo8ejeXLl+f7lIRg0aJFuOKKK1BTUwOHw4F33nlH8bokSXjggQfQs2dPFBYWYvz48di6davimPr6ekyZMgVlZWWoqKjA1KlT0dzcnMNPYV1mzpyJs846C6WlpaisrMR3vvMdbN68WXFMe3s7pk2bhm7duqGkpARXX301Dh06pDhmz549mDRpEoqKilBZWYm77roLwWAwlx/Fkjz//PMYPny4XNhrzJgx+PDDD+XX6dpmlt/97ndwOBy47bbb5OfoGqfHjBkz4HA4FP8GDx4svy7k9ZUIw8yZM0fyer3Syy+/LG3YsEG68cYbpYqKCunQoUP5PjXL88EHH0i//vWvpbfeeksCIL399tuK13/3u99J5eXl0jvvvCN9/fXX0re//W2pX79+Ultbm3zMxIkTpREjRkhLly6VPv/8c2nAgAHS5MmTc/xJrMmECROkV155RVq/fr20Zs0a6bLLLpN69+4tNTc3y8fcfPPNUm1trTR//nxp5cqV0jnnnCOde+658uvBYFA67bTTpPHjx0urV6+WPvjgA6l79+7Svffem4+PZCneffdd6f3335e2bNkibd68Wfrv//5vyePxSOvXr5ckia5tJlm+fLnUt29fafjw4dIvfvEL+Xm6xunx4IMPSkOHDpUOHjwo/zty5Ij8uojXlwwYE5x99tnStGnT5MehUEiqqamRZs6cmcezEg+1ARMOh6Xq6mrpsccek59raGiQfD6f9I9//EOSJEnauHGjBEBasWKFfMyHH34oORwOaf/+/Tk7d1E4fPiwBEBauHChJEmR6+nxeKR//vOf8jGbNm2SAEhLliyRJCliZDqdTqmurk4+5vnnn5fKysqkjo6O3H4AAejSpYv00ksv0bXNIE1NTdLAgQOlefPmSRdeeKFswNA1Tp8HH3xQGjFihOZrol5fciEZxO/3Y9WqVRg/frz8nNPpxPjx47FkyZI8npn47Ny5E3V1dYprW15ejtGjR8vXdsmSJaioqMCoUaPkY8aPHw+n04lly5bl/JytzokTJwAAXbt2BQCsWrUKgUBAcY0HDx6M3r17K67xsGHDUFVVJR8zYcIENDY2YsOGDTk8e2sTCoUwZ84ctLS0YMyYMXRtM8i0adMwadIkxbUEaPxmiq1bt6Kmpgb9+/fHlClTsGfPHgDiXl/bNnPMNEePHkUoFFJ8eQBQVVWFb775Jk9nZQ/q6uoAQPPastfq6upQWVmpeN3tdqNr167yMUSEcDiM2267Deeddx5OO+00AJHr5/V6UVFRoThWfY21vgP2Wmdn3bp1GDNmDNrb21FSUoK3334bQ4YMwZo1a+jaZoA5c+bgq6++wooVK+Jeo/GbPqNHj8asWbMwaNAgHDx4EL/5zW8wduxYrF+/XtjrSwYMQdiMadOmYf369Vi8eHG+T8VWDBo0CGvWrMGJEyfw5ptv4oc//CEWLlyY79OyBXv37sUvfvELzJs3DwUFBfk+HVty6aWXyj8PHz4co0ePRp8+ffDGG2+gsLAwj2eWOuRCMkj37t3hcrniorIPHTqE6urqPJ2VPWDXL9G1ra6uxuHDhxWvB4NB1NfX0/XnmD59Ot577z18+umn6NWrl/x8dXU1/H4/GhoaFMerr7HWd8Be6+x4vV4MGDAAI0eOxMyZMzFixAg89dRTdG0zwKpVq3D48GGceeaZcLvdcLvdWLhwIZ5++mm43W5UVVXRNc4wFRUVOOWUU7Bt2zZhxzAZMAbxer0YOXIk5s+fLz8XDocxf/58jBkzJo9nJj79+vVDdXW14to2NjZi2bJl8rUdM2YMGhoasGrVKvmYBQsWIBwOY/To0Tk/Z6shSRKmT5+Ot99+GwsWLEC/fv0Ur48cORIej0dxjTdv3ow9e/YorvG6desUhuK8efNQVlaGIUOG5OaDCEQ4HEZHRwdd2wxw8cUXY926dVizZo38b9SoUZgyZYr8M13jzNLc3Izt27ejZ8+e4o7hvIQOC8qcOXMkn88nzZo1S9q4caN00003SRUVFYqobEKbpqYmafXq1dLq1aslANITTzwhrV69Wtq9e7ckSZE06oqKCun//u//pLVr10pXXnmlZhr1GWecIS1btkxavHixNHDgQEqjjnLLLbdI5eXl0meffaZIk2xtbZWPufnmm6XevXtLCxYskFauXCmNGTNGGjNmjPw6S5O85JJLpDVr1khz586VevToQWmokiTdc8890sKFC6WdO3dKa9eule655x7J4XBIH3/8sSRJdG2zAZ+FJEl0jdPll7/8pfTZZ59JO3fulL744gtp/PjxUvfu3aXDhw9LkiTm9SUDxiTPPPOM1Lt3b8nr9Upnn322tHTp0nyfkhB8+umnEoC4fz/84Q8lSYqkUt9///1SVVWV5PP5pIsvvljavHmz4j2OHTsmTZ48WSopKZHKysqkH/3oR1JTU1MePo310Lq2AKRXXnlFPqatrU362c9+JnXp0kUqKiqSrrrqKungwYOK99m1a5d06aWXSoWFhVL37t2lX/7yl1IgEMjxp7EeP/7xj6U+ffpIXq9X6tGjh3TxxRfLxosk0bXNBmoDhq5xenz/+9+XevbsKXm9Xumkk06Svv/970vbtm2TXxfx+jokSZLyo/0QBEEQBEGkBsXAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHGTAEARBEAQhHP8P9llseMfoEC0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "intensity = np.loadtxt('Fe_alpha_spectrum_wide.txt') \n", "\n", "plt.plot(intensity)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "02a75628-6973-404d-8795-01d3241f998a", "metadata": {}, "source": [ "## Calibrate experimental data" ] }, { "cell_type": "code", "execution_count": 3, "id": "6b54dcd0-e5e0-43ca-9385-3492f90f4a47", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "offset: 0.29844467432932387\n", "scaling: 0.9640092539880852\n", "max velocity in experiment: 8.001276808101109\n" ] } ], "source": [ "v = 8.3\n", "shift = 0.0\n", "\n", "velocities, offset, scaling, vel_theo, int_theo = nx.data.CalibrateChannelsAlphaFe(\n", " intensity = intensity,\n", " velocity= v,\n", " thickness = 10e3,\n", " Bhf = 33,\n", " B_fwhm = 0,\n", " emission = False,\n", " mode = \"constant\",\n", " shift = shift)\n", "\n", "print(\"offset: {}\".format(offset))\n", "print(\"scaling: {}\".format(scaling))\n", "print(\"max velocity in experiment: {}\".format(v*scaling))" ] }, { "cell_type": "markdown", "id": "16df5324-f977-4f4a-aacc-76c983ac6f26", "metadata": {}, "source": [ "## Get all Lorentzian parameters" ] }, { "cell_type": "code", "execution_count": 4, "id": "6d7404fb-e4c0-4667-81d1-e9fa3b5a566f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6\n", "[ 96 166 237 292 363 433]\n", "[-5.32343661 -3.07623348 -0.84988943 0.84587101 3.08106968 5.32568563]\n", "[-980.29961236 -936.81445391 -742.80437577 -741.84551569 -921.26441169\n", " -976.35410283]\n", "[0.70463913 0.46580674 0.271412 0.25158578 0.45156303 0.66741383]\n", "[2170.0785944 1370.91089519 633.36398958 586.33988414 1306.93065309\n", " 2047.16303298]\n", "6150.561289921998\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_lor, indices_lor, velocity_lor, intensities_lor, widths_lor, areas_lor, baseline_lor, fit_curve = nx.data.GetLorentzian(\n", " velocities,\n", " intensity,\n", " n=6,\n", " neg=True,\n", " baseline=None\n", " )\n", "\n", "print(n_lor)\n", "print(indices_lor)\n", "print(velocity_lor)\n", "print(intensities_lor)\n", "print(widths_lor)\n", "print(areas_lor)\n", "print(baseline_lor)\n", "\n", "plt.plot(velocities, intensity)\n", "plt.plot(velocities, fit_curve)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4d0ce396-cba7-4c5f-86d6-20f1008295a5", "metadata": {}, "source": [ "## Get just the linewidth of each peak" ] }, { "cell_type": "code", "execution_count": 5, "id": "b7eb28bd-e9b2-4dde-87d6-dd05af4db705", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.70463913 0.46580674 0.271412 0.25158578 0.45156303 0.66741383]\n" ] } ], "source": [ "widths = nx.data.GetLinewidths(velocities, intensity, n=6, neg=True)\n", "\n", "print(widths)" ] }, { "cell_type": "markdown", "id": "724d3fd9-e1ae-45ad-8a70-11210d836d91", "metadata": {}, "source": [ "## Get the processed areas of each peak" ] }, { "cell_type": "code", "execution_count": 6, "id": "66078274-4bab-41fa-aec2-f1c488023a7b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[4217.24162738 2677.84154828 1219.70387372]\n", "[3.45759468 2.19548499 1. ]\n" ] } ], "source": [ "folded_areas, area_ratio = nx.data.GetAreas(velocities,\n", " intensity,\n", " n=6,\n", " neg=True,\n", " norm = \"min\")\n", "\n", "print(folded_areas)\n", "print(area_ratio)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }