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May 29, 2024 17:53
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "fb3b5989-8bc3-4fa7-9b76-ac5528ddacbe", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "\n", | |
| "from astropy.modeling.models import BlackBody\n", | |
| "from astropy import units as u\n", | |
| "from astropy.visualization import quantity_support" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "1d157f1e-3ce8-4701-b390-560cc4928c8b", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "bb = BlackBody(temperature=5778*u.K)\n", | |
| "wav = np.arange(1000, 110000) * u.AA\n", | |
| "flux = bb(wav)\n", | |
| "\n", | |
| "with quantity_support():\n", | |
| " plt.figure()\n", | |
| " plt.semilogx(wav, flux)\n", | |
| " plt.axvline(bb.nu_max.to(u.AA, equivalencies=u.spectral()).value, ls='--')\n", | |
| " plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 33, | |
| "id": "b53a91ff-4b2e-4bb9-aab1-15dffede9b5b", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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FGv/2K9x79pC6LAAMP3QNCrkMHwxqh/cfbAuZAPx2MBFPL/wXWQVGqUsjIiIHJppMSP3gQ6T+3zuAyQSPfv3Q6OflUIWHS12aHcMPXdeIbo2w6Jnb4aFWYH9sFh6etRsX0vKlLouIiByQOSsL8c89j+zlywEA/hNeQeiMryFzc5O4srIYfuiG7moZgFVjuiHM2wVxmYV4eNZu7Dov/TgNRETkOPSnT+Pyo4+hcP9+yNzcEDbre/iNHi15/57KMPzQTWkR6IE/xnZHdKQ38vRmjPhhP5bti5O6LCIicgC6DRtw+amhMCUnQxkZgUYrV8Dj7rulLuuaGH7opvm6q/HTqC54OCoUFquIt9ecwHtrT8LCR2IQETkl0WpF2tczkDRxEsSiIrj16IHGv/wCdbNmUpd2XQw/VCVqhRzTH++IyX1bAAAW77mM53/8D3l6k8SVERFRXbLk5SFxzFhkzp0LAPB5biTC586BXKuVuLIbY/ihKhMEAePubo5ZQztBrZBh69l0PDp7LxKzC6UujYiI6oAhNhaXHx+C/G3bIKjVCPnicwS+9hoEuVzq0m4Kww/dsgHtg/HLizHw91Dj7JU8PPT9bhyKz5a6LCIiqkX5O3bg8uNDYIyNhSIoCJHLlkE7cKDUZVUJww9VS8dwL/wxtjtaB3siI9+IJ+btwx9HkqQui4iIapgoishcvBgJo1+CNS8PLp06ofGvv8ClfTupS6syhh+qthAvF/w2Ogb3tA6E0WzFKyuOYMaWc3wkBhFRAyEajUh9512kffoZYLVC++gjiFz8AxT+/lKXdksYfqhGuKkVmDusM17o1QQAMGPLebyy4gj0JovElRERUXWYs7MR/9zzyPn1V0AmQ8AbUxD84YcQVCqpS7tlDD9UY+QyAW8OaI1PB7eHQiZg7dFkPDl/H9LzDFKXRkREt8Bw8SIuD3kChf/9Zx+40PeZZxxy4MKqYPihGvfEHRFYMvIOeGoUOByfg4e+341zV/KkLouIiKogf+cuXB7yBEzx8VCGhaHRip/hcdddUpdVIxh+qFZ0a+aHNWO7o5GvK5JyijB0/r9Sl0RERDdBFEVkLV2GhBdfhDU/Hy6dO6PRLyuhbt5c6tJqDMMP1Zom/u74fUx3dG3ig3yD2T6dHaGJiByTaDIh9b33ceXjj20dmwcPRsQPi6Dw8ZG6tBrF8EO1yttNhSUju2Bwp1D7tA/+OgmTxSphVUREVJ4lJwfxo15AzsqVgCAg4LXXEPzxR5DV447N18LwQ7VOpZDho4eujgOxYn8iRi7+D7lFfCQGEZEjMFyKReyQISjctw8yV1eEff89fJ8bWe87Nl8Lww/VidL/A7ko5dh5PgOPzN6D+Ew+EoOISEr5u3fj8pAhMMXFQxkSgsiff4bH3b2lLqtWOWz4mT17Njp06ABPT094enoiJiYGGzZsuO4627dvR+fOnaHRaNCkSRPMmTOnjqqlqlj6/B0I8tTgQlo+Bn2/C/9dzpK6JCIip5S9YiUSXnjRNmJzVBQa/foLNC1bSF1WrXPY8BMWFoZPP/0UBw4cwIEDB3D33Xdj0KBBOHnyZKXLx8bGYsCAAejZsycOHz6MN998E+PHj8eqVavquHK6kbYhWvwxrjvah2qRXWjC0Pn/YtXBRKnLIiJyGqLViiuff4HU994DLBZoBz2IiB8XQ+HrK3VpdUIQ69GtNz4+Pvjiiy/w3HPPVZg3ZcoUrF27FqdPn7ZPGz16NI4ePYq9e/fe9D50Oh20Wi1yc3Ph6elZI3UTUFBQAHd3dwBAfn4+3NzcUGS0YNIvR7DhRCoAYFzvZph0bwvIZA3zGnNVVXbOiIiqy1pUhOTXpyBv82YAgN/4l+H30kv1vn9PVb6/HbblpzSLxYIVK1agoKAAMTExlS6zd+9e9O3bt8y0fv364cCBAzCZrt2x1mAwQKfTlXlR3XBRyfH9U50wtndTAMB3Wy9g3M+HUGTkIzGIiGqDOT0dccNHIG/zZghKJUK++AL+Y8bU++BTVQ4dfo4fPw53d3eo1WqMHj0av//+O9q0aVPpsqmpqQgMDCwzLTAwEGazGRkZGdfcx7Rp06DVau2v8PDwGj0Guj6ZTMBr/Vrhq8c6QikXsP54KobM24s0nV7q0oiIGhTD+fO4POQJ6I8fh9zLCxGLf4B24ANSlyUJhw4/LVu2xJEjR7Bv3z689NJLGDFiBE6dOnXN5csn15IretdLtFOnTkVubq79lZCQUDPFU5U80jkMPz3fFd6uShxLzMWg73fjZHKu1GURETUIBXv24PKTT8GUnAxVZCQarfgZrp07S12WZBw6/KhUKjRr1gzR0dGYNm0aOnbsiG+++abSZYOCgpCamlpmWlpaGhQKBXyv04FLrVbb7ygreZE07mjsgzVju6OpvxtScvV4bM5ebD51ReqyiIjqtexff0X8C8WPqojujMgVP0PVqJHUZUnKocNPeaIowmCo/AnhMTEx2FzceavEpk2bEB0dDaVSWRflUQ2I9HXD6jHd0aOZHwqNFryw9ADm7bjIR2IQEVWRaLUi7avpSP2/dwCzGZ4DByJi0SIovL2lLk1yDht+3nzzTezcuROXL1/G8ePH8dZbb2Hbtm0YOnQoANvlquHDh9uXHz16NOLi4jBp0iScPn0aixYtwsKFCzF58mSpDoFukdZFiR+evR1Du0RAFIFP1p/B1NXHYTTzkRhERDfDqtcjadKryJw/HwDgN3YsQj7/rEE+quJWKKQu4FquXLmCYcOGISUlBVqtFh06dMDGjRtx7733AgBSUlIQHx9vX75x48ZYv349Jk6ciO+//x4hISGYOXMmHnnkEakOgapBKbc9EqNZgDs+/OsUVvyXgLjMQswa2gnebvyfl4joWsyZmUgcMxZFR48CSiVCPvoQ2kGDpC7LodSrcX7qAsf5qR3VGbPmnzNX8PLywygwWhDh44oFI6LRItCjtkp1GBznh4iqynDxIhJeHA1TYiJkWi3Cvp0JtzvukLqsOtHgxvkh53Z3q0CsGtMN4T4uiM8qxMPf72ZHaCKicgr+3W+7oysxEcqICDT6+WenCT5VxfBD9UKrIE/8MbYHYpr4oqC4I/R3/5xnR2giIgC5f61DwvPPw6rTwaVTJzRauQLqJo2lLsthMfxQveHjpsKS5+7A8JhIiCLw5aZzePnnwxwRmoicliiKyFywAMmTJ0M0meDRrx8ifuAdXTfC8EP1ilIuwweD2uGTh9tDIRPw17EUPDpnD5JyiqQujYioTokWC658+CHSvvwKAOAzYgRCv54OmVotcWWOr8rhp6ioCElJSRWmX+tp60S14akuEfjp+S7wcVPhZLIOg77bhQOXs6Qui4ioTliLipA4/hVkL/8ZEAQETn0DgVPfgCBjm8bNqNJZ+u2339CiRQsMGDAAHTp0wL///mufN2zYsBovjuh6ujTxxdpx3dE62BMZ+UY8OX8fVv4Xf+MViYjqMXNWFuKeeQb5//sfBJUKoV9/DZ8RI6Quq16pUvj56KOPcOjQIRw9ehSLFi3CyJEjsXz5cgBgx1OSRJi3K1a9FIMB7YNgsoiYsuo43lt7EmYLB0QkoobHGBeHy08+Cf3RY5BrtYj4YRE8+/eTuqx6p0qDHJpMJvj7+wMAoqOjsWPHDgwePBgXLly47sNDiWqTq0qB75/qhG//uYDpm89h8Z7LOJ+Wh++e5ICIRNRwFB09ioTRL8GSnQ1laCjC58+DukkTqcuql6rU8hMQEIBjx47ZP/v6+mLz5s04ffp0melEdU0QBIzv0xxznu4MV5Ucuy9kYtD3u3HuSp7UpRERVVveP/8gbsQzsGRnQ9O2LRqt+JnBpxqqFH6WLl2KgICAMtNUKhV+/vlnbN++vUYLI7oV/dsFYXW5ARE3nkiRuiwioluWtXw5Ese9DFGvh1uvnohc8iMUxVdh6NZUKfyEhYUhKCio0nndu3evkYKIqqv8gIijlx3C5xvPwGJlvzQiqj9sT2X/Clc++BCwWuH12KMInzULMj7qptqqdU9campqTdVBVKN83FRY+twdeL6HbYTTWdsu4tnF/yGn0ChxZUREN2Y1GpH8+hRkzl8AAPB/ZTyCPvgAgsJhn0der1Qr/PTt27em6iCqcQq5DG8/0AbfPHEbNEoZdpxLx8DvduFUsk7q0oiIrsmSl4eEUS9A99dfgEKB4GnT4PfSS7yxqAZVK/zw9naqDwbdForVL3VHuI8LErKKMHj2bvxxpOJAnUREUjOlpSFu2HAU/vsvZG5uCJ87B14PPyR1WQ1OtcIPUyjVF21CPPHnuB7o1cIfepMVr6w4go/+OsXxgIjIYRhiYxH35FMwnDkDuZ8fIpcugTv709YKjoNNTsPLVYUfnrkdY3s3BQAs2BWLYQv3IzPfIHFlROTsio4dQ9xTQ2FKSoIyMgKNfl4OTZs2UpfVYDH8kFORywS81q8V5jzdCW4qOfZeysTAb3fhWGKO1KURkZPK37nz6hg+7dqh0fLlUIWHS11Wg1at8KNScfRcqp/6twvGmrHd0cTPDcm5ejw6Zy9+OZAgdVlE5GRy//gDCS+NgVhUBLfu3RH542IofH2lLqvBq1b4OXDgQE3VQVTnmgd6YM247rindSCMZite/+0Ypq4+Dr3JInVpROQEMhcuQvKUNwCzGZ4DByJ8NsfwqSs1MmCAXq/HsWPHkJaWBqu1bAfSBx98sCZ2QVQrPDVKzBvWGd9tvYCvt5zDz/vjcTwpB7OHdka4j6vU5RFRAyRarUj7/AtkLV4MAPB59lkEvDYZgow9UepKtcPPxo0bMXz4cGRkZFSYJwgCLBb+FU2OTSazPResY7gXJqw4jBNJOtw/cyemP34b7mkTKHV5RNSAiEYjkt98yzaGD4CA11+H78hnJa7K+VQ7Zo4bNw6PPfYYUlJSYLVay7wYfKg+ubOFP9aN74moCC/o9GY8v+QAPtt4hrfDE1GNsOQXIOGlMfbBC0M+/4zBRyLVDj9paWmYNGkSAgP5FzLVfyFeLlj5Qgye6dYIADB720U8vfBfpOXppS2MiOo1c2Ym4keMQMHu3RBcXRE+exa07BYimWqHn0cffRTbtm2rgVKIHINKIcN7D7bFt09GwU0lx75LWXhg5i7sj82SujQiqoeMCQm4/NRT0J88Cbm3NyJ/XAz3nj2lLsupCWI1n1FRWFiIxx57DP7+/mjfvj2USmWZ+ePHj69WgXVNp9NBq9UiNzcXnp6eUpfTYBQUFMDd3R0AkJ+fD7d6ckfDhbR8vLTsIM6n5UMuEzClf0uM6tmkTkY3r6/njIiu0p86hfgXXoQlIwPK0FCEL5gPdePGUpfVIFXl+7va4WfBggUYPXo0XFxc4OvrW+ZLQRAEXLp0qTqbr3MMP7WjPn+RFxjMePP34/jjSDIAoG+bQHzxWEdoXZQ3WLOa+63H54yIgIJ9+5A4dhysBQVQt2qF8HlzoQwIkLqsBqtOw09QUBDGjx+PN954A7IGcJsew0/tqO9f5KIoYtm/8fjwz1MwWqyI9HXFd092Qvswba3ts76fMyJnptv4N5Jfew2iyQTXLl0Q9t23kHt4SF1Wg1aV7+9qpxWj0YghQ4Y0iOBDdC2CIGBY10j8OjoGoV4uiMssxODZu/HD7lhU8+8HImpgsn/5BUkTJ0I0meDRrx/C589j8HEw1U4sI0aMwMqVK2uiFiKH1zHcC+vG98C9bQJhsoh4/89TeHHpQeQUGqUujYgkJooiMubNR+o77wKiCK8hQxA6/SvI+Cgoh1PtQQ4tFgs+//xz/P333+jQoUOFDs/Tp0+v7i6IHIqXqwrzhnXGj3su45P1Z7Dp1BWcnLkLM5+MQudIb6nLIyIJlB+12ffFF+E/4ZU6uTmCqq7a4ef48eOIiooCAJw4caLMPP5Hp4ZKEAQ8070xOkf6YNzPhxCXWYjH5+7F5L4t8WKvJpDJ+LtP5CxEsxkpb/8fctesAQAETJkC32efkbQmur5qd3iuLdOmTcPq1atx5swZuLi4oFu3bvjss8/QsmXLa66zbds29O7du8L006dPo1WrVje1X3Z4rh0NufNunt6EN38/gT+P2u4G69XCH9Mf7wg/d3W1ttuQzxlRQ2HV65E06VXk//MPIJcj+KOP4PXwQ1KX5ZTqtMNzbdm+fTvGjh2Lffv2YfPmzTCbzejbty8KCgpuuO7Zs2eRkpJifzVv3rwOKiZn5aFRYuYTt+HTwe2hVsiw41w6BnyzE3suVnzeHRE1HJa8PCSMegH5//wDQaVC2LczGXzqiWpf9po2bRoCAwMxcuTIMtMXLVqE9PR0TJky5Za2u3HjxjKff/jhBwQEBODgwYPo1avXddcNCAiAl5fXLe2X6FYIgoAn7ohAVIQ3xi0/hPNp+Ri64F+Mv7s5xvdpDjkvgxE1KObMTMSPGgXDqdOQubsjbNb3cLvjDqnLoptU7ZafuXPnVnpJqW3btpgzZ051N2+Xm5sLAPDx8bnhslFRUQgODkafPn2wdevW6y5rMBig0+nKvIhuVcsgD/wxrjsejw6DKALf/O88npy3D0k5RVKXRkQ1xJiYhLinhsJw6jTkvr6IXPIjg089U+3wk5qaiuDg4ArT/f39kZKSUt3NA7DdPjhp0iT06NED7dq1u+ZywcHBmDdvHlatWoXVq1ejZcuW6NOnD3bs2HHNdaZNmwatVmt/hYeH10jN5LxcVQp8/mhHzBhyG9xUcuy/nIX+M3bY+wQRUf1lOH8ecUOHwhgXB2VICBr9tAyaNm2kLouqqNodnps3b453330XTz/9dJnpS5cuxbvvvlsjj7cYO3Ys1q1bh127diEsLKxK6w4cOBCCIGDt2rWVzjcYDDAYDPbPOp0O4eHh7PBcw5y1825cZgFeWXEERxJyAACPdArD+4Pawl194yvOznrOiBxV0dGjSHjhRVhyc6Fq1hQRCxdCGRgodVlUrE47PD///POYMGECfvjhB8TFxSEuLg6LFi3CxIkTMWrUqOpuHi+//DLWrl2LrVu3Vjn4AEDXrl1x/vz5a85Xq9Xw9PQs8yKqKZG+bvh1dAzG390MMgFYdSgR98/cicPx2VKXRkRVkL9rN+KeHQlLbi40HTug0bJlDD71WLU7PL/++uvIysrCmDFjYDTaRrnVaDSYMmUKpk6desvbFUURL7/8Mn7//Xds27YNjW/xKbiHDx+u9LIcUV1RymWY1LclejT3x8SVRxCXWYhH5+zFxHua46W7mrEzNJGD023YgKTXpwAmE9y6d0fYzG8gY0tsvVZj4/zk5+fj9OnTcHFxQfPmzaFWV2+MkzFjxmD58uX4448/yozto9Vq4eLiAgCYOnUqkpKSsGTJEgDAjBkz0KhRI7Rt2xZGoxHLli3Dp59+ilWrVmHw4ME3tV+O81M7eAnHJrfIhLfXXB0T6I5GPvj6idsQ6uVSYVmeMyLpZa9YgdT3PwBEER739UfoZ59B4OMqHFJVvr+r3fJTwt3dHbfffntNbQ6zZ88GANx1111lpv/www945plnAAApKSmIj4+3zzMajZg8eTKSkpLg4uKCtm3bYt26dRgwYECN1UVUHVoX25hAd7Xwxzt/nLB3hv7k4fYY2DFE6vKIqJgoisicOxfpM74BAHg9MQRB//d/EORyiSujmuCwIzxLhS0/tYOtGBWV7ww9uFMo3nuwLTw1tufj8ZwRSUO0WpH22efI+vFHAIDvS6PhP348H9nk4BrECM9EDV35ztCrDyWh/9c7sOcCR4YmkoposSDl//7PHnwCp76BgFf4gNKGpsbCz8GDB2tqU0ROo6Qz9C8vxiDCxxXJuXo8teBfvP/nSehNFqnLI3IqotGIpFcnI3fVakAmQ/C0afAZMULqsqgW1Fj4efjhh2tqU0ROJ7qRDza80hNDu0QAAH7YfRmPzNotcVVEzsOq1yPh5ZeRt3EjoFQi9Ouv+ZyuBqxKHZ4ff/zxSqeLooisrKwaKYjIWbmpFfj44fa4p00gpvx2DJcycu3zTBarhJURNWyW/AIkvvQSCv/7D4JGg7Bvv4V7zx5Sl0W1qErhZ8uWLVi6dKm9E2YJURSv+wgJIrp5vVsGYNPEXpiy4j/MK572xLy9+HZYDJoHekhaG1FDY8nJQfwLL0J/7Bhkbm4InzsHrtHRUpdFtaxK4eeuu+6Cu7s77rzzzgrzoqKiaqwoImfn5arC9CG3Yd5zts+nkvNw/7e78Hq/lhjZvTFkHBiRqNrM6emIf+55GM6dg9zLC+Hz58Ol/bWfH0kNB291L4e3utcO3rZddaXP2ROztmFvXD4AoEtjH3z+aAdE+vIcEt0qU3Iy4p8dCWNcHOT+fohctAjq5s2lLouqoc5udU9NTa3O6kR0k+YP64yPHmoHF6Uc/8Zmof+MnVi0KxZWK/92IaoqQ2wsLg99+uqT2ZctY/BxMtUKP3379q2pOojoOgRBwNNdI/H3hF7o2sQHRSYLPvjrFIbM24vYjAKpyyOqN/RnzyJu2HCYU1KgatwYkct/gioyUuqyqI5VK/zwihlR3YrwdcXy57viw4fawU0lx3+Xs9F/xg7M33EJFrYCEV1X0dGjiBs+ApaMDKhbt0bksqVQBgVJXRZJoFrhhyNeEtU9mUzAsK6R2DihF3o084PBbMXH60/j0Tl7cCEtT+ryiBxSwb/7Ef/sSFhzc+Fy222I/HExFL6+UpdFEuHjLYjqqXAfVyx97g58Org9PNQKHI7PwYCZuzB720WYOS4QkV3etm1IeOEFWAsL4RrTFRELF0DOG1qcGsMPUT0mCAKeuCMCf0/shbta+sNotuKzjWfwyOw9OJvKViAi3YYNSBz3MkSDAe53343wOXMg492mTq9a4UelUtVUHURUDSFeLvjhmdvxxaMd4KlR4GhiLh74diembz7HZ4SR08pZtQpJr04GzGZ43n8/wr6ZAZlaLXVZ5ACqFX4OHDhQU3UQUTUJgoDHosOxedKduKd1IEwWETP/dx4DZu7Ev5cypS6PqE5lLVmClLfeBqxWeD32GEI+/wyCUil1WeQgqhV+TCYTevfujXPnztVUPURUTYGeGswf3hmzhnaCv4cal9ILMGTePkxdfQy5hSapyyOqVaIoImP2bFz5ZBoAwOfZZxH0wfsQ5HKJKyNHUq3wo1QqceLECd71ReRgBEHAgPbB2DLpTjx5h+1J8T/vT0Cf6dux7lgKh6mgBkkURaR98SXSv5kJAPAb/zICXn+N31FUQbU7PA8fPhwLFy6siVqIqIZpXZSYNrg9Vr7QFU383ZCRb8DY5Yfw/I8HkJxTJHV5RDVGtFiQ+t77yFq0CAAQOPUN+I8Zw+BDlarSg00rYzQasWDBAmzevBnR0dEVntk0ffr06u6CiKqpSxNfbHilJ2ZtvYhZ2y7gf2fSsG/6dkzu1xLDYxpBzgelUj0mmkxInvomdH/9BQgCgj54H96PPSZ1WeTAqh1+Tpw4gU6dOgFAhb4/TNxEjkOtkGPivS3wQIdgTF19HAfisvH+n6ew5kgyPn6oHdqFaqUukajKrAYDkia9ivz//Q9QKBD6+WfwHDBA6rLIwfGp7uXwqe61g091r7raPGdWq4jl++Px2YYzyDOYIROAYV0jMalvS2hdeEcM1Q/WwkIkjhuHgj17IahUCP1mBjx695a6LJJInT3VHQCKiopQWFho/xwXF4cZM2Zg06ZN1d00EdUSmcz2oNQtr96JgR1DYBWBH/fGoc9X27HmcBI7RJPDs+h0iH/ueVvwcXVF+Lx5DD5006odfgYNGoQlS5YAAHJycnDHHXfgq6++wqBBgzB79uxqF0hEtSfQU4Nvn4zCT893sXeInrDyCJ6cv4/PCSOHZc7KQtyIZ1B0+DBknp6IXLQQbl27SF0W1SPVDj+HDh1Cz549AQC//fYbgoKCEBcXhyVLlmDmzJnVLpCIal/3Zn7Y8EpPvNavJTRKGfZdykL/GTvx6YYzKDSapS6PyM6Umoq4p4fBcPo05L6+iFy6BC633SZ1WVTPVDv8FBYWwsPDAwCwadMmDB48GDKZDF27dkVcXFy1CySiuqFWyDG2dzNsnmgbIdpsFTFn+0XcO30H/j6ZykthJDljfDzihj4N46VLUAQFIXLpUmhatpS6LKqHqh1+mjVrhjVr1iAhIQF///03+vbtCwBIS0tjh2GieijcxxULRkRj/vBohHq5ICmnCC8uPYiRi//D5YwCqcsjJ2W4cAFxQ5+GKSkJysgINPppGdRNGktdFtVT1Q4/77zzDiZPnoxGjRqhS5cuiImJAWBrBYqKiqp2gUQkjXvbBGLLpDsxtndTKOUCtp5NR9+vd+DTDWeQb+ClMKo7RSdOIu7pYTCnp0PdvDkaLVsGZWio1GVRPVYjt7qnpqYiJSUFHTt2hExmy1P79++Hp6cnWrVqVe0i6xJvda8dvNW96hzpnF1Iy8cHf53CjnPpAIAADzXeuK8VHrotFDIOkEi1qPDAASSMfgnW/Hxo2rdHxPx5kHt5SV0WOaCqfH9znJ9yGH5qhyN9kdcXjnbORFHE/06n4cN1pxCXaRveIirCC+8NbIuO4V6S1kYNU/6u3UgcNw6iXg/X6GiEzZkNefH/E0Tl1ek4P0TkHARBwD1tArFpYi+83r8lXFVyHI7PwUOzduP1344iPc8gdYnUgOg2b0biSy9B1Ovh1qsnwufPY/ChGsPwQ0RVolbIMeauZtg6+S48HBUKUQR+OZCIu7/chgU7L8FotkpdItVzuX/8gaQJEyGaTPDo1w/h330HmYuL1GVRA1Jj4efgwYM1tSkAwLRp03D77bfDw8MDAQEBeOihh3D27Nkbrrd9+3Z07twZGo0GTZo0wZw5c2q0LiKyCfTU4Osht2HVS93QPlSLPIMZH607jf7f7MDWM2m8NZ5uSdby5Uie8gZgsUD78MMI/epLCCqV1GVRA1Nj4efhhx+uqU0BsIWYsWPHYt++fdi8eTPMZjP69u2LgoJr32obGxuLAQMGoGfPnjh8+DDefPNNjB8/HqtWrarR2ojoqs6R3vhjbHd8/kgH+LqpcCm9AM8u/g/DFu7HqWSd1OVRPZIxfz6ufPAhAMB72DAEf/wRBEW1n79NVEGVOjw//vjjlU4XRREbNmxAfn5+jRVWXnp6OgICArB9+3b06tWr0mWmTJmCtWvX4vTp0/Zpo0ePxtGjR7F3796b2g87PNcOR+u8Wx/Ux3Om05vw3T8XsHj3ZRgtVggC8FjnMLzatyUCPTVSl0cOShRFpM/4Bplz5wIAfF8aDf/x4yEIvJOQbl5Vvr+rFKm3bNmCpUuX2v9BLiGKInbs2FH1SqsgNzcXAODj43PNZfbu3WsfZLFEv379sHDhQphMJiiVFZ9WbTAYYDBc7aip0/EvVaJb5alR4s0BrTGsayQ+3XgG646l4JcDifjzaApevLMJXujVBK4q/iVPV4lWK658/Amyf/oJABAw+VX4Pv+8xFVRQ1elf4XuuusuuLu7484776wwrzYHNBRFEZMmTUKPHj3Qrl27ay6XmpqKwMDAMtMCAwNhNpuRkZGB4ODgCutMmzYN77//fo3XTOTMwn1c8f1TnTCyezY+XncKh+JzMGPLeSz/Nx6T+7bEI53DIOf4QE5PNJuR8n/vIPf33wFBQNA7/wfvJ5+UuixyAlXq87N69epKgw8AbNy4sUYKqsy4ceNw7Ngx/PzzzzdctnwzaclVvWs1n06dOhW5ubn2V0JCQvULJiIAtv5Aq17qhu+f6oRwHxek5Rnw+qpjeODbXdh1PkPq8khCotGIpFcn24KPXI6Qzz5l8KE6U60Oz6mpqTVVxzW9/PLLWLt2LbZu3YqwsLDrLhsUFFShprS0NCgUCvj6+la6jlqthqenZ5kXEdUcQRBwf4dgbJl0J94a0BoeGgVOp+jw9MJ/8cwP+3E6hZeanY21qAgJY8ch7++/ISiVCJ3xNbQPPih1WeREqhV+yvevqUmiKGLcuHFYvXo1/vnnHzRufOMH2MXExGDz5s1lpm3atAnR0dGV9vchorqjVsgxqlcT7HitN57p1ggKmYBtZ9MxYOZOTFx5BAlZhVKXSHXAkp+PhFEvoGDnTggaDcJmz4bnvfdKXRY5mWqFn9ocx2Ps2LFYtmwZli9fDg8PD6SmpiI1NRVFRUX2ZaZOnYrhw4fbP48ePRpxcXGYNGkSTp8+jUWLFmHhwoWYPHlyrdVJRFXj7abCew+2xeZJd+KBDsEQReD3w0m4+6tteG/tSWTkc6TohsqcnY34Z55F4YEDkLm7I2LhArj36C51WeSEqhV+avM2xNmzZyM3Nxd33XUXgoOD7a+VK1fal0lJSUF8fLz9c+PGjbF+/Xps27YNt912Gz788EPMnDkTjzzySK3VSUS3prGfG757qhP+HNcDPZv7wWQRsXjPZdz5+VZ8vfkcnxzfwJjS0hA/fDj0J05A7u2NiB8Xw7VzZ6nLIidVrQebdujQAceOHavJeiTHcX5qR30cs0ZqznbOdl/IwGcbz+BYYvGwFm4qjOvdDEO7RkCtkEtcHVWHMTEJ8SNHwhQfD0VAACIWLYS6WTOpy6IGhg82JaJ6p3szP/wxtjtmDe2EJn5uyCow4oO/TqHPV9ux+lAiLFY+LqM+MlyKRdzTT8MUHw9lWBgif1rG4EOSq1b4UfF5K0RUgwRBwID2wdg0sRemDW6PQE81ErOLMOmXo+g/YwfWHUuBlSGo3tCfOYO4p5+GOTUVqqZNEfnTMqjCw6Uui6h6l70aIl72qh3OdgmnJvCcAUVGCxbvuYw52y8it8gEAGgV5IGJ97ZA3zaBfPyBAys8fBgJL46GVaeDuk1rRCxYAMV1Rugnqq46vexVVFSEwsKrt6jGxcVhxowZ2LRpU3U3TUROzkUlx0t3NcXOKb0x4Z7m8FArcCY1Dy8uPYgHv9vNp8c7qIJ9+xD/3POw6nRw6dQJkYsXM/iQQ6l2+Bk0aBCWLFkCAMjJyUGXLl3w1VdfYdCgQZg9e3a1CyQi8tQoMeGeFtg5pTfG9m4KV5Ucx5Ny8ezi/zB49h7sPJ/OEOQg8v7ZioQXXoRYWAi3bt0QsWA+5GxFJwdT7fBz6NAh9OzZEwDw22+/ITAwEHFxcViyZAlmzpxZ7QKJiEp4uarwWr9W2Pl6b7zYqwk0ShkOx+dg2ML9GDJ3H/ZdypS6RKeWu24dEsePh2g0wv2ePgibMxsyV1epyyKqoNrhp7CwEB4eHgBsoykPHjwYMpkMXbt2RVxcXLULJCIqz9ddjakDWmPH673xbPdGUClk2H85C0/M24en5jMESSH711+RPPk1wGyG58CBCPv6a8h4Uww5qGqHn2bNmmHNmjVISEjA33//bX/kRVpaGjsME1GtCvDQ4N2BbbH9tbvwdNcIKOUC9lzMxBPz9uHxOXux4xwvh9WFzB8WI/X/3gFEEV5PDEHIZ59C4COFyIFVO/y88847mDx5Mho1aoQuXbogJiYGgK0VKCoqqtoFEhHdSLDWBR891B5bJ9+FoV0ioJLbWoKGL9qPh2ftwf9OX2EIqgWiKCJ95rdI++wzAIDPcyMR9O67EGQcQo4cW43c6p6amoqUlBR07NgRsuJf+v3798PT0xOtWrWqdpF1ibe61w7etl11PGe3LjVXj7k7LmL5v/EwmK0AgLYhnnj57mbo2yYIMhlvka8uURSR9umnyPrRdsOL/4QJ8H3xBQ4/QJKpyvc3x/kph+GndvCLvOp4zqovPc+ABTsvYem+OBQaLQCAFoHuGNu7GR7oEAI5Q9AtES0WpLzzDnJXrQYABL71FnyGPS1xVeTsGH6qgeGndvCLvOp4zmpOVoERi3bF4sc9l5FX/MDUJn5ueOmuphh0WyhUCl6muVmi0Yik16cgb+NGQCZD8Mcfw+vhh6Qui4jhpzoYfmoHv8irjues5uUWmfDjnstYuCvWPmJ0sFaD53o0xpN3RMBNrZC4QsdmLSpC4iuvoGDHTkCpROiXX8KzX1+pyyICINGDTQ8ePFhTmyIiqhVaFyXG92mO3W/cjSn9W8HPXY2UXD0+Wnca3T79B9M3nUVmvkHqMh2SJT8fCaNeQMGOnRA0GoTPmsXgQ/VWjbX8REREID4+viY2JSm2/NQOtmJUHc9Z7dObLFh9KAnzdlzE5UzbY3o0Shkejw7HqJ5NEO7DAfoAwJydjYRRL0B/4gRk7u4InzMbrtHRUpdFVEZVvr+r1Mb7+OOPVzpdFEVkZWVVZVNERJLTKOV4qksEhtwejr9PpmLO9os4lpiLJXvj8NO/8bi/fTBG39kUbUKc9w8hU1oaEp57DobzFyD38kL4wgVwadtW6rKIqqVK4WfLli1YunSp/a/REqIoYseOHTVaGBFRXZHLBAxoH4z72gVh78VMzN5+ETvPZ2Dt0WSsPZqMXi38MfrOJohp4utUt3IbExMR/+xImBISoAgIQMSihVA3ayZ1WUTVVqXwc9ddd8Hd3R133nlnhXkc0JCI6jtBENCtmR+6NfPDiaRczN1xCeuOJWPHuXTsOJeONsGeeL5nYzzQIaTB3yFmuHQJ8c+OhPnKFSjDwhCx+AeowsKkLouoRvBur3LY56d2sP9K1fGcOYa4zALM33kJvx1MhN5kGzAxwEONEd0a4ak7IuDt1vCeX1V08iQSnh8FS3Y2VM2aImLhQigDA6Uui+i66uxW99TUVAQFBd3q6g6J4ad28Iu86njOHEt2gRHL98fjxz2XkZZnuyNMo5ThkU5hGNmjMZr6u99gC/VD4aFDSHjhRVjz86Fp2xbhC+ZD4e0tdVlEN1Rn4adDhw44duzYra7ukBh+age/yKuO58wxGc1WrDuejAU7Y3EyWWeffnerADzXozG6Na2//YLyd+1G4ssvQywqgkvnzgifMxtyDw+pyyK6KbV2t1d5vGJGRM5GpZDh4agwPHRbKPZdysLCXbH435kr+OdMGv45k4ZWQR54rkdjDOwYAo1SLnW5N023eTOSJ70K0WSCW8+eCJv5DWQuLlKXRVQrqhV+6utfN0RE1SUIAmKa+iKmqS9iMwrww+5Y/HogEWdS8/Dab8fw6YYzeOKOcAztEokQL8cOETlr1iDlrbcBiwUeffsi9MsvIKgaXl8mohIN+3YFIqI60NjPDR8Maoe9U20jRwdrNcgsMOL7rRfR8/OtGL30IPZezHTI1vKsn35CyhtTAYsF2ocfRuj0rxh8qMHjg2yIiGqIl6sKL93VFKN6NsaW01eweM9l7LuUhY0nU7HxZCpaBLpjeEwjPBwV6hDPEcuYOw/pX38NAPAeNgyBU9+AIOPfxNTwVev/PhX/OiAiqkAhl6F/u2D0bxeMs6l5WLL3MlYfSsK5K/l4e80JfLbxDB7rHI5hMZFo7Ff3HdlFUUT69K+ROX8+AMD3pdHwHz+eXRnIaXCcn3J4t1ft4J1LVcdz1rDkFpmw6mAilu6LQ2xGgX36nS38MTwmEne1DIBcVvvhQ7RYkPrBh8hZuRIAEPDaZPg+91yt75eottXZre4NEcNP7eAXedXxnDVMVquInRcy8OOey9h6Ng0l/wKHaDUYcrvtOWNBWk2t7Fs0GpE0ZQryNmwEBAFB770H7yGVP7ORqL6pyvd3tS/u3n333Xj//fcrTM/Ozsbdd99d3c0TETUoMpmAO1v4Y9Ezt2Pb5LswqmdjeLkqkZyrx9dbzqH7Z/9g1JID2Ho2DRZrzf1tai0sRMJLY2zBR6lE6PSvGHzIaVW75Ucmk8HX1xfdu3fHTz/9ZP/r9MqVKwgJCYHFYqmRQusKW35qB1sxqo7nzHnoTRZsPJGK5f/GY//lLPv0UC8XPHlHOB6PDkeA5623BllycpAw+iUUHTkCwcUFYTNnwr1nj5oonchh1GnLD2B72ntqaiq6du2Ky5cv18QmiYichkYpx0NRofhldAw2T+yFkd0bQ+uiRFJOEb7cdA7dPv0Ho5cexI5z6bBWsTXIlJaGuGHDUXTkCGRaLSIWLWTwIadXI+EnODgY27dvR4cOHXD77bdj27ZtNbFZ7NixAwMHDkRISAgEQcCaNWuuu/y2bdsgCEKF15kzZ2qkHiKi2tY80APvDGyDf9/sg+mPd0R0pDfMVhEbT6Zi+KL9uPPLrfh+6wWk5upvuC1jfDzinhoKw/nzUPj7I3LpErhGRdXBURA5tmoPNFFya6RarcZPP/2Ejz76CP3798eUKVOqXVxBQQE6duyIZ599Fo888shNr3f27NkyTV7+/v7VroWIqC5plHIM7hSGwZ3CcDY1Dz/vj8eqQ4lIyCrCF3+fxVebzuLOFv54LDocfVoHQK0o+ygN/dlziH/+OVjSM6AMD0fEooVQhYdLdDREjqXa4ad8l6G3334brVu3xogRI6q7adx333247777qrxeQEAAvLy8qr1/IiJH0DLIA+892BZT+rfCuuMp+OVAAvbHZmHr2XRsPZsOb1clHooKxePR4Wgd7InCQ4eRMHo0rDod1C1aIHzBfCgDAqQ+DCKHUe3wExsbCz8/vzLTHnnkEbRs2RIHDx6s7uZvSVRUFPR6Pdq0aYO3334bvXv3vuayBoMBBoPB/lmn011zWSIiKbmo5Hi0cxge7RyG2IwC/HYwAb8dTMQVnQE/7L6MH3ZfRhutDL33rMGdRSYEREXZnsyu1UpdOpFDueXwUxISvL29kZ+fX2F+REQEIiIibr2yWxAcHIx58+ahc+fOMBgMWLp0Kfr06YNt27ahV69ela4zbdq0Sm/VJyJyZI393PBav1aYdG9L7Difjl8PJGDTiVScyrXiVNsHMb/N/ejXPhiPpxnR3UOErA4GUCSqL275VneZTHbdodBFUYQgCDV2q7sgCPj999/x0EMPVWm9gQMHQhAErF27ttL5lbX8hIeH81b3GsbbtquO54yqInvFSpyd9gW2hUZhS7s+uCDzsM8L0WrwUFQoBncKRbMAj+tshaj+qsqt7rfc8rN161b7e1EUMWDAACxYsAChoaG3usla0bVrVyxbtuya89VqNdRqdR1WRERUc0RRROa8+Uj/+mtoAYzoEobX33oUp64U4JcDCVhzOAnJuXrM2nYRs7ZdRPtQLR6KCsWDHUPg78F/+8g53XL4ufPOO8t8lsvl6Nq1K5o0aVLtomrS4cOHERwcLHUZREQ1ThRFpH3+BbJ++AFA2QeUtgvVol2oFm8OaI1/zqRh9aEkbDubhuNJuTielItP1p9Gz+Z+eDgqFH3bBMFFJb/B3ogajmp3eK5N+fn5uHDhgv1zbGwsjhw5Ah8fH0RERGDq1KlISkrCkiVLAAAzZsxAo0aN0LZtWxiNRixbtgyrVq3CqlWrpDoEIqJaIZrNSHn3XeSuWg0ACHhjCnyfeabCchqlHAPaB2NA+2BkFRjx17FkrD6UhCMJOdh2Nh3bzqbDXa1A/3ZBGBwViq5NfNk/iBo8hw4/Bw4cKHOn1qRJkwAAI0aMwOLFi5GSkoL4+Hj7fKPRiMmTJyMpKQkuLi5o27Yt1q1bhwEDBtR57UREtcWq1yNp0qvI/+cfQC5H8Icfwmvwwzdcz8dNheExjTA8phEupedjzeEk/H4kCQlZRfjtYCJ+O5iIYK0Gg24LxaDbQtAqyOO6fTuJ6qsae6q7h4cHjh07hsaNG9fE5iTDZ3vVDnberTqeM6qMJTcXCWPGoujgQQhqNUKnfwWPPn1ueXuiKOJAXDZWH0rCumPJ0OnN9nnNAtzxYMcQPNAhGE383WuifKJaU5Xv71sOP4MHDy7z+c8//8Tdd99d4R/o1atX38rmJcPwUzv4RV51PGdUnunKFSQ8PwqG8+ch8/BA+OxZcI2OrrHt600WbD2Tht8PJ2Hb2XQYLVb7vHahnhjYIQQPdAxBqJdLje2TqKbUyd1e2nKDZj399NO3uikiIroBw6VLiH/+eZiTU6AICED4/PnQtGxRo/vQKOW4r30w7msfDJ3ehE0nr+DPo8nYdSEDJ5J0OJGkw7QNZxAd6Y2BHUMwoH0w7xijeqnGLns1FGz5qR1sxag6njMqUXT0KBJeHA1LTg5UjRsjYsF8KOtwWJHMfAM2nEjFn0eTsf9yFkq+NWQCENPUFwM7hKB/uyB4uarqrCai8urksldDxfBTO/hFXnU8ZwQA+Tt2IPGVCRCLiqDp0AHhc+dA4e0tWT2puXqsO56CP48m40hCjn26QiagezM/DGgfhHvbBMHHjUGI6hbDTzUw/NQOfpFXHc8Z5axZg5S3/w8wm+HWsyfCvpkBmaur1GXZxWcW4s9jyfjzaDLOpObZp8tlAro28cF97YLRr20QL41RnWD4qQaGn9rBL/Kq4zlzbpkLFyHtiy8AAJ4PDkTIxx9DUColruraLqTlY+OJFKw/nopTKVcfEC0IwO2NfDCgXRD6twtGkFYjYZXUkNVp+CkZe6fChgUBGo0GzZo1w6BBg+Dj41Od3dQZhp/awS/yquM5c06i1Yq0L760j9rs8+yzCHhtMgSZTOLKbl5cZgE2nEjFhuMpOJqYW2Zepwgv3NcuGP3bBSHcx3Fasaj+q9Pw07t3bxw6dAgWiwUtW7aEKIo4f/485HI5WrVqhbNnz0IQBOzatQtt2rSpzq7qBMNP7eAXedXxnDkf0WRC8ltvQbf2TwBAwGuvwfe5kRJXVT2J2YXYeCIVG06k4mBcdpl57UO16Nc2EH3bBqF5gDsHVKRqqdPwM2PGDOzcuRM//PCDfWc6nQ7PPfccevTogVGjRuGpp55CUVER/v777+rsqk4w/NQOfpFXHc+Zc7EWFCBxwkQU7NxpG7X544/g9dBDUpdVo1Jz9fj7ZCrWH0/Bf5ezYC317RPp64p7Wwfi3jaBiG7kAzkfsUFVVKfhJzQ0FJs3b67QqnPy5En07dsXSUlJOHToEPr27YuMjIzq7KpOMPzUDn6RVx3PmfMwZ2UhYfRL0B87BsHFBWHfzIB7r15Sl1Wr0vMM2HzqCjafSsXuC5llBlT0cVPh7lYBuLdNIHo19+dDV+mm1MkghyVyc3ORlpZWIfykp6dDp7N1evPy8oLRaKzuroiIGhxjfDziR42CKS4ecq0W4XPnwOW226Quq9b5e6jxVJcIPNUlAvkGM3acS8fmU1fwz5k0ZBUY7c8aUytk6NncH33bBOLu1gHwc+edY1R91Q4/gwYNwsiRI/HVV1/h9ttvhyAI2L9/PyZPnoyHipts9+/fjxYtanYkUiKi+q7o2DEkjH4JlqwsKENCEL5gPtRNmkhdVp1zVyvsT543Waz4LzYLm05dweZTV5CUU4Qtp69gy+krEASgc4Q37m0TiD6tA9DUn/2E6NZU+7JXfn4+Jk6ciCVLlsBstj0QT6FQYMSIEfj666/h5uaGI0eOAABuqwd/zfCyV+3gJZyq4zlr2PL+2YqkSZMg6vXQtGljG7zQ31/qshyKKIo4nZKHzaeuYNOpVJxM1pWZH+7jgrtbBqB3qwB0beILjZKXx5yZJOP85Ofn49KlSxBFEU2bNrX/o13fMPzUDn6RVx3PWcOVvWIlUj/4ALBa4dazJ0K//hpyd/73vZGknCJsOWVrBfr3UlaZfkIuSjm6N/NF71YB6N0yACF8+KrTqbPwYzKZ0LdvX8ydO7fBXNZi+Kkd/CKvOp6zhkcURaTP+AaZc+cCALSPDEbwe+859OCFjqrAYMbuCxnYejYNW8+kI1WnLzO/VZAH7m4VgLtbBSAqwpt3jzmBOuvwrFQqceLECV5zJSK6AdFoRMr//R9y/1gLAPAbNw5+Y8fw389b5KZWoG/bIPRtGwRRFHEqRYetZ9Lwz5k0HE7IwZnUPJxJzcOsbRfh5arEnS38cXerAPRo5gdfdpp2etW+7PXqq69CqVTi008/ramaJMWWn9rBVoyq4zlrOCz5+UgaPx4Fe/baxvD54H14PfKI1GU1WFkFRmw/l4Z/zqRj+9k06PRm+zxBANqFaNGzuR96tfBHpwhvqBT1Z/RsurY6vdXdaDRiwYIF2Lx5M6Kjoyv8Az19+vTq7oKIqN4yXbmChBdehOHsWQiurrYxfHr2lLqsBs3HTYWHo8LwcFQYzBYrDifk4J8zadh2Nh2nU3Q4npSL40m5mLXtItxUcsQ09cOdLfzQs7k/GvnxjwxnUCOPt7jmxgUB//zzT3U2X+fY8lM72IpRdTxn9Z/h/HnEv/AizCkpkPv52cbwadtW6rKcWppOj53nM7DjfDp2nc9AZkHZMegifFzRq4UfejX3R0xTX3ho2B+rvuBT3auB4ad28Iu86njO6reC/fuROHYcrHl5UDVujPD586EKC5W6LCrFarX1Fdp+Lh07zqXjYFw2zKWeuaGQCegU4Y1eLfzQo7k/2odq2XHagdV5+Nm5cyfmzp2LS5cu4ddff0VoaCiWLl2Kxo0bo0ePHtXdfJ1i+Kkd/CKvOp6z+iv3jz+Q/Pb/ASYTXDp1Qvis7yH38pK6LLqBfIMZ+y5mYsd5Wxi6nFlYZr6HRoGuTXzRvakvujfzQzM+jNWh1Gmfn1WrVmHYsGEYOnQoDh06BIPBAADIy8vDJ598gvXr11d3F0RE9YIoisj49jtkzJoFAPDo3x8hn30KmZp3F9UH7moF7mkTiHvaBAIA4jML7UFo76VM5OnNxc8juwLA9oiObk190b2pH7o180WYt6uU5VMVVLvlJyoqChMnTsTw4cPh4eGBo0ePokmTJjhy5Aj69++P1NTUmqq1TrDlp3awFaPqeM7qF6vRiJQ334Lur78AAL4vvAD/Ca9AkPFOoobAYhVxIikXuy9mYM+FTPx3OQsGs7XMMpG+rujW1A/dm/kipokvb6mvY3Xa8nP27Fn0quTpw56ensjJyanu5omIHJ45OxuJ415G0cGDgEKB4Pfehdejj0pdFtUguUxAx3AvdAz3wpi7mkFvsuBwfA72XMzA7gsZOJqYi7jMQsRlxuPn/fEAbAMtdm/mh5gmvri9sQ+0Luw87SiqHX6Cg4Nx4cIFNGrUqMz0Xbt2oYkTPqCPiJyLITYWCaNHwxQXD5mHB8JmfgO3mBipy6JaplHKEdPUFzFNffFq35bI05uwPzYLuy9kYs/FDPsgi2dS87BwVywEAWgT7IkujX3RpYkP7mjkA283ldSH4bSqHX5efPFFvPLKK1i0aBEEQUBycjL27t2LyZMn45133qmJGomIHFLhf/8hcdzLsOTmQhkaivC5c6Bu1kzqskgCHhol+rQORJ/Wtv5CGfkG7L1oC0L7LmUhNqMAJ5N1OJmsw6LdsQBsLUNdGvugSxNf3NHYB368TFZnauRur7feegtff/019Hrbs1XUajUmT56MDz/8sNoF1jX2+akd7L9SdTxnjq30HV2ajh0Q/v33UPj5SV0WOag0nR77YrPw76VM/BubhQtp+RWWaRbgjq5NfOytQwEeGgkqrb8kGeensLAQp06dgtVqRZs2bfhUdyqDX+RVx3PmmCrc0dWvn+2OLg2/qOjmZeQbsL9UGDqTmldhmSZ+bujSxAfRkT6IbuSNCB9X3lp/HRzksBoYfmoHv8irjufM8ViNRqS89TZ0f/4JAPAdNQr+Eyfwji6qtuwCI/ZfzsK/l7Lwb2wmTqXoUP7b2c9djdsbeaNzpDeiG/mgbYgnlHL+7pWo07u9iIicgTkjA4kvj0fR4cOAQoGgd9+B92OPSV0WNRDebir0axuEfm2DAAC5RSYcuJyF/bFZOBCXjeOJucjIN2DDiVRsOGEbQkajlOG2cC97y1CnSG948nEcN4Xhh4joBvRnziBhzBiYk1Nsd3R9MwNu3bpJXRY1YFqXsh2o9SYLjifl4sDlbBy4nIWD8dnIKTRh36Us7LuUBcD2xPqWgR6IbuRtD0ShXi68VFYJhw4/O3bswBdffIGDBw8iJSUFv//+Ox566KHrrrN9+3ZMmjQJJ0+eREhICF5//XWMHj26bgomogYnb8sWJL0+BWJhIVSRkQibPRvqJo2lLoucjEYpx+2NfHB7Ix8ATWG1iriYno8Dcdn473IWDsZlIy6z0H57/bJ9trGGgjw1iIrwKn55o32oFhqlXNqDcQAOHX4KCgrQsWNHPPvss3jkkUduuHxsbCwGDBiAUaNGYdmyZdi9ezfGjBkDf3//m1qfiKiEKIrInDsP6TNmAADcusUg9OuvIddqpS2MCIBMJqB5oAeaB3rgyTsiAABpeXocvJyNA3G21qGTyTqk6vRlLpUpZAJaB3teDUTh3oj0db6O1PWmw7MgCDds+ZkyZQrWrl2L06dP26eNHj0aR48exd69e29qP+zwXDvYebfqeM6kY9XrkfL2/9kfVeH99NMIfGMKBIVD/71IVEah0YyjCbk4kpCDw/HZOBSfg4x8Q4XlvF2ViIrwxm3htkDUMdyrXvYdctoOz3v37kXfvn3LTOvXrx8WLlwIk8kEpbLif0yDwWB/GCtgO3lE5LxMaWlIHPcy9MeO2To2v/02vJ8YInVZRFXmqlLYR6EGbK2ZSTlFOByfg8PxOTiSkI0TSTpkF5rwz5k0/HMmDYCt71Azf3f7pbLbwr3QPMAdigZ0Z1mDCj+pqakIDAwsMy0wMBBmsxkZGRkIDg6usM60adPw/vvv11WJROTAik6cROLYsTBfuQK5VovQb76BW9cuUpdFVCMEQUCYtyvCvF0xsGMIAMBgtuB0Sh4Ox2fbQlFCNhKyinA+LR/n0/Lxy4FEALY7y9qGaNE+VIuO4Vq0D/VCEz83yGT183JZgwo/ACpctyy5qnet65lTp07FpEmT7J91Oh3Cw8Nrr0Aicki6jRuR/MZUiHo9VE2bInz2LKgiIqQui6hWqRVy3BbuhdvCvfBsd9u0jHwDjhQHoUNxOTielIt8gxkH47JxMC7bvq67WoF2oZ7oGOaF9mFadAzzQph3/bi7rEGFn6CgIKSmppaZlpaWBoVCAV9f30rXUavVUKv5PBUiZyVarUj/9ltkzp4DAHDr1ROhX30FuYeHxJURScPPXY172gTinja2KylWq4hLGQU4npSDowm5OJ6Ui5PJtkBU+lZ7wNZ/qH2YFzqEatEhTIsOYV4I0jre6OcNKvzExMTgz+KRV0ts2rQJ0dHRlfb3ISLnZtHpkPza68jfvh0A4PPMMwh4bTIEOW8FJiohkwloFuCOZgHueDgqDABgtlhxPi0fxxJzcCzRFohOp9j6D+04l44d59Lt6wd4qNEhTIt2obbLZu1CtQj0lDYQOXT4yc/Px4ULF+yfY2NjceTIEfj4+CAiIgJTp05FUlISlixZAsB2Z9d3332HSZMmYdSoUdi7dy8WLlyIn3/+WapDICIHZbh4EYljxsIYFwdBrUbwB+9DO2iQ1GUR1QsKuQytgz3ROtgTQ263TTOYLTibmoejibk4lmC7XHbuSh7S8gzYcjoNW06n2dd/tnsjvDuwrUTVO3j4OXDgAHr37m3/XNI3Z8SIEVi8eDFSUlIQHx9vn9+4cWOsX78eEydOxPfff4+QkBDMnDmTY/wQURl5W7YgecobsBYUQBESjLBvv4VLW+n+ISZqCNQKOTqEeaFDmBfQNRKA7Xb7U8k6HEvMxYnkXJxIysWFtHw08Zf24ef1ZpyfusJxfmoHx6ypOp6zmidarcj47jtkzJoNAHC94w6EzvgaCh8fiSsjch5FRgusogg3dc22vzjtOD9ERNdiycuz9e/Ztg0A4D18GAJfew0C+wMS1SkXlfR96hh+iKjBM1y6hMSx42CMjWX/HiJi+CGihi3vf/9D8utTbP17gov797Rj/x4iZ8bwQ0QNkmg2I33GDGQuWAgAcL39dlv/nmuM+UVEzoPhh4gaHHN6OpJenYzC/fsBAD4jhiNg8mT27yEiAAw/RNTAFB44gKSJk2BOT4fM1RXBn3wMz/79pS6LiBwIww8RNQiiKCJr0Q9Imz4dsFigbt4Mod/MhLpJY6lLIyIHw/BDRPWeJS8PKW++ibzNWwAAng8ORPB770Hm6ipxZUTkiBh+iKhe0589i8Tx42GKi4egVCLwzanweuKJevFkaSKSBsMPEdVLoigi9/c1SP3gA4h6ve0xFd98A5f27aUujYgcHMMPEdU7lvwCpH7wPnRr/wQAuPXsiZDPP4PC21viyoioPmD4IaJ6RX/6NJImTIQxLg6Qy+H/8jj4vvACBJlM6tKIqJ5g+CGiekEURWT/tBxpn30G0WSCIigIoV99CdfOnaUujYjqGYYfInJ4ltxcpLz9tv1uLve770bwxx/xMhcR3RKGHyJyaIWHDyP51ckwJScDSiUCX5sM72HDeDcXEd0yhh8ickii1YrMhQuRPuMbwGKBMiICodOn86GkRFRtDD9E5HBMKSlIfmMqCv/9FwDgOWAAgj54H3J3d4krI6KGgOGHiByKbsMGpLz7Hqw6HQQXFwS99Sa0jzzCy1xEVGMYfojIIVjy83Hlw4+Q+8cfAABN+/YI/eJzqBo1krYwImpwGH6ISHKFhw4j+fXXYUpMBGQy+L74AvzHjIGgVEpdGhE1QAw/RCQZ0WRCxuzZyJgzF7BaoQwNRcjnn3HsHiKqVQw/RCQJQ2wskt94A/qjxwAA2kEPIvDttyH38JC4MiJq6Bh+iKhOiVYrspcuRdr0ryEaDJB5eiL4vXfhOWCA1KURkZNg+CGiOmOMj0fym2+i6MBBAIBbt24I/vgjKIODJa6MiJwJww8R1TrRakX2ihVI++JLiEVFEFxdEfj66/Aa8jhvYSeiOsfwQ0S1ypiYhJS330bhvn0AANc77kDwJx9DFRYmcWVE5KwYfurIxfR8XEovQKCnGoGeGvi5qyGX8S9earhEUUTOr78i7dPPYC0shODigoBXX4X3U09CkMmkLo+InBjDTx3ZeCIVX/x91v5ZJgD+HrYgFOChQZBWjUAPje2zpxpBWg2CPV3g6aLgZQGqd4xxcUh59z17a49Lp04ImfYJVJGREldGRMTwU2e8XVXoGKZFqk6P9DwDrCJwRWfAFZ0BQO4113NXKxDq5YIQLw1CvV0Q4uWC0JKXtwsCPDRsQSKHIZrNyFq8GOnffgfRYICg0cD/lVfgM3wYBLlc6vKIiAAw/NSZp7pE4KkuEQAAi1VEZr6hOPzokarTI02nt33O0yM1V48rOj2yC03IN5hx9koezl7Jq3S7CpmAIK0GIV4uCPOyhaMwbxdE+Lgi3McVwVoNFHJeYqDaV3TyJFL+7/9gOHUaAODWLQZB778PVXi4xJUREZXF8CMBuUxAgKcGAZ4atIf2mssVGS1IyilCck7R1Z/ZtvdJOUVIzdXDbBWRmF2ExOwi7K9kGwqZgBCvkjDkgnAfV9t7b9tPL1clL6tRtViLipD+3XfIWvwjYLFAptUicMoUaB9+iL9bROSQHD78zJo1C1988QVSUlLQtm1bzJgxAz179qx02W3btqF3794Vpp8+fRqtWrWq7VJrnItKjmYB7mgW4F7pfItVRFqevkwgSsouQkJ2ERKzCpGYXQSjxYr4rELEZxVWug0PtQJhPq6I8HGxBSJfW4tRuLcrwrxdoFHyUgVdW8HevUh5512YEhIAAJ4DBiDwzalQ+PlJXBkR0bU5dPhZuXIlJkyYgFmzZqF79+6YO3cu7rvvPpw6dQoRERHXXO/s2bPw9PS0f/b396+LcuucXCYgWOuCYK0LoiuZb7WKuJKnR3ymLfwkZBchIasQCcVhKC3PgDyDGadTdDidoqt0H0GeGvsltAgfV0T4Xr2k5u+u5l/2TsqUloa0zz6Hbt06AIAiKAhB774Dj0r++CAicjSCKIqi1EVcS5cuXdCpUyfMnj3bPq1169Z46KGHMG3atArLl7T8ZGdnw8vL65b2qdPpoNVqkZubWyZANUR6kwWJ2bYgFJ9pC0fxxeEoIasQBUbLddfXKGW2QFQ6HJX6XLrVqKCgAO7uthas/Px8uLm51eqxNQSOeM5EsxnZP/2E9JnfwlpQAMhk8H7ySfhPnAC5e+UtlEREdaEq398O2/JjNBpx8OBBvPHGG2Wm9+3bF3v27LnuulFRUdDr9WjTpg3efvvtSi+FlTAYDDAYDPbPOl3lLSANkUYpR7MADzQLqPggSVEUkVVgLNNiVNKCFJ9ViJTcIuhNVpy7ko9zV/Ir3X6Ah9oehgJdr05P0+nRyNWVrUb1TOGhQ0h9/wMYztqGbNB06ICgd9+BS9u2EldGRFQ1Dht+MjIyYLFYEBgYWGZ6YGAgUlNTK10nODgY8+bNQ+fOnWEwGLB06VL06dMH27ZtQ69evSpdZ9q0aXj//fdrvP76ThAE+Lqr4euuRlSEd4X5RrMVyTlF9jCUkFWIuMyr7/MMZqTlGZCWZ8CBuGxYjXr7und+sQ2ublc7XZdpNfK1TXdRsa+RozBnZSHty6+Qu3o1AECm1SJg0iR4PfYoByskonrJYcNPifKtA6IoXrPFoGXLlmjZsqX9c0xMDBISEvDll19eM/xMnToVkyZNsn/W6XQI5625N6RSyNDIzw2N/CpeihFFETmFJnswis8qxMXkDHxdPF8mAHqTFefT8nE+rfJWI/9SrUbhPq6ILA5GEcV9jWQc26jWiWYzsleutF3iyrWNRaV99BEEvPoqFN4VAzERUX3hsOHHz88Pcrm8QitPWlpahdag6+natSuWLVt2zflqtRpqtfqW66SKBEGAt5sK3m4qdAz3AgAUFATbw8+Rd/si1yQrE45KOmHHZRYiT29Gep4B6XkGHIzLrrB9tUJWprWo7HsXuKoc9te63sjftRtXPp0G44WLAAB1q1YIeucduHaKkrgyIqLqc9hvCZVKhc6dO2Pz5s14+OGH7dM3b96MQYMG3fR2Dh8+jODg4NookW6RUi5DpKcbIn0r78CbW2hCXFZBhWAUn1WI5Bw9DGYrLqTl48I1Wo383NWI8HGpGI58XRHooWGr0XUYLsUi7fPPkb9tGwBA7uUFv5fHwXvIEAgKh/3ngoioShz6X7NJkyZh2LBhiI6ORkxMDObNm4f4+HiMHj0agO2SVVJSEpYsWQIAmDFjBho1aoS2bdvCaDRi2bJlWLVqFVatWiXlYVAVaV2V6ODqhQ5hXhXmmSxWpOToK201is8qRG6RCRn5BmTkG3AoPqfC+iqFDOHeZYNRmLcLQr1cEertAm8nHfTRkpuLjFmzkPXTcsBsBhQK+Ax9Cn5jxkCuvfZAnERE9ZFDh58hQ4YgMzMTH3zwAVJSUtCuXTusX78ekcUPR0xJSUF8fLx9eaPRiMmTJyMpKQkuLi5o27Yt1q1bhwEDBkh1CFTDlHKZre+Pr2ul83MLTUjILiwTjkruUkvKKYLRbMXF9AJcTC+odH1Xlfzq89O8bT/DvF3sASnAo2H1NxKNRmT/+isyvv0OlpwcAID7nXciYMoUqJs0lrY4IqJa4tDj/EjBmcb5qUuOMGaN2WJFSm7ZVqP4rEL7CNnpeYYbbkMptw0sWTochXrbnqsW6m0bcFKlqJk7oGrznIlWK/I2bkTajG9gKv4DQtWsKQKnvAH3nj1qbD9ERHWlQYzzQ1TTFHJbR+lwH1d0r2S+3mRBSm7J40JsjwdJyi5CYvFjQ1J1epgs4nUfFyIItvGNbKHIFaFeLgjx0hSPxK1BsFYDHzeVpJfWCvbsQdqXX0F/6hQAQO7rC7+xY+D9+OPs10NEToH/0hEV0yjlaOznhsaV3L4P2FqOruQZ7OGopMUoMfvqc9UMZiuu6Ay4oqu8zxFg63dUEoRCtC4I0moQ7OWCYE8NgouDkrerssaPr+jkSaR/NR0FxYOEylxd4fP8c/AdMQIyBxg9moiorjD8EN0khVxma9HxcgHgU2G+KIrIyDfag1BJQErJ1dtfGfkGGM1WxGXabuu/Fo1ShgCXq59nbDmLyEBfhHhpEORpa03Sutxc52zDpUvI+O476NZvsE1QKuH95BPwGz0aCp+Kx0FE1NAx/BDVEEEQ4O+hhr+HGrcVj29UnsFsQZrOgOQc22W05Bw9UnOLkJyrR0puEVJz9cjIN0JvsuJywdVRseduj4VMlVJmWy5KOQI91Qjw1CDQU4NADzWCtBrbZw81vHUZkP/0A4zr/gSsVkAQ4PnAA/B/ZTxUYWG1eSqIiBwaww9RHVIr5PZ+R9eiN9kC0sWUDNxdPDLkU13CkaGX2QNSZoERRSYLLmcW4vJ1WpAg7wm3+6LhJ7MgJMwfwUE+CDiej6C4WAR6FgclT1tgUyv4SBEicg4MP0QORqOUI8LXFb4aX/u0/3ugbZm7vfQmC67o9MX9i/S4otMjJTEd8UdOITUzD1kaT2RotDAoVChQuqAAQFxKEZCSdM39+ripEOChtrUieaoR4KGBn7sK/h4a+Huoi9+r4a5WOOVYSETUcDD8ENVDGqUckb62UbL1Z88ic+kC6DZsACwWAID7XXfBd/gYWFq0whWdAWk6Pa7k6ZGaawtLaXlXg1OazgCjxYqsAiOyCow4k5p3g33L4Oduay3yd1fDr/hnySU/P3c1Aop/8gG1ROSIGH6I6iFRFFF08CAy5s9HwfYd9uluvXrCf9w4uHToYJ/moVGiWYD7dbeVU2jClZJAlGtrSUrPtz1fLaP4Z3qeAQVGC/QmKxKzbXe53Yi7WlEqJKlsP4uDkq+7Gj5uKvi5q+DjpmKLEhHVGYYfonpEtFqRv207MufPR9Hhw7aJMhk8+/eD7/PPQ9OmTZW3WfpBtK2Crr9sodGMjDwj0vP1SM8zIj3fgIw8Q6VByWC2It9gRr7BjNiMykfULk0ll8G3OAjZQpEtHPm6q+DrpoKPm7rUe4YlIrp1DD9E9YBVr0fOhg3I+vFHGM5fAAAISiW0gwfDd+SzUBU/8qW2uaoUiPBVXPPxIiVEUUS+wWwPQhn5RqTn6YvDki00ZRYYkZlvQFaBEYVGC4zFI3Cn5Oqvu+0SKoXMHoR83dWl3l8NSz5uSni5quDtqoLWRQl5A3o0CRHdOoYfonrgYv/7oM6z9cWRubnB+6kn4T1sGJQBARJXVjlBEOChUcJDo0QT/2tfcitRZLQgs8AWhDLzjcgsMCKrwFDqvS0olbwvNFpgNFctLAkC4KlRwttVaWvpclXBy1UJb1cVvF2vhqSS9z5utvkaJfstETU0DD9EDqjo6FEkL1xk/2zJzYUyLAzeQ4fC67FHIW9gz51zUckRpnJFmPf1W5RK3GxYyi40IbvQiDy9GaII5BaZkFtkuv7wAOVrU8qvhiN7S5ISPq4q+zStS+mXrZWppp7xRkQ1j+GHyEFY9XroNm5E9s8/Q3/0GAqtVvu8kC+/QNCAAXz2VrGqhiWzxYqcIhNyCo3IKrAFopxCoz0c5RRPyy6eVjLPYhVRZLKgKNeC5JtsYbLXqJSXCUWeLuVDkgJa17KBqeTF4ERUu/gvKZHEDOfPI/uXX5H7xx+w6nQAivvz3Hsv8PV0AIBnnz4MPtWgkNtuz/dzV9/0OqIoIs9gtgejrJLAVGAqE5yyC432FqXcQhPyDLZWpiKTBUUmC1J1VQtNwI2Dk4dGAc/inx4aBTw1Je9tP5Vyhiei6+G/pkQSsOr1yPv7b2Sv/AVFhw7ZpytDQuD1+GPwevRRGFxc7OGH6p4gCPDUKOGpUd6wg3dpVquIPL35aiCq9GWsOK2GghNgC08lwagkEHm6KOFZ8lldcV7pEOWuVkDBAEUNGMMPUR0RRRH6o0eR88cf0K3fAGturm2GXA6Pu3vD6/HH4datGwS5rYOtoeDGt4eT45HJBNvlLFdllde9ueBkQp7ehDy9GbrinyWfC422QS5LwlNanuGWj8NVJS/VoqSAe3FoclPL4aZWFL+3vTw0CripSr0vXs5drYCLUs4hCcjhMPwQ1TJjYhJ0f65F7po/YIyLs08vaeXRPjwYykDHvGuL6lZ1ghNg69uUbzBDV1QxGFUMTBWX0elN0Jtsfc0KjRYUGi1I1VXzmATATW1rTXIvDktl38vhrrk63U2lgLumsmXlcFUpOFwB1QiGH6JaYMnNRd7mzchd8wcKDxywTxdcXOBx7z3QPjgIbjFd7a08RDVBIZfBq/gutFtlslivGZYKigetzDeUeq83o8BoRr7Bgny9CQUGi22e0XYJzyrCvn5NUCtkcFMr4KqSF7+uBiP755J5att7l5JppdZzK1lerYCrUg4ZQ5VTYfghqiGW3Fzk/e8f6P7eiII9ewGTyTZDEODatQu0gwbB8957ISv1gFIiR6OUy+yjbFeHtfhOuQKDGXnXDEvXCFTF7wsMFuTpTSgwWmCxigAAg9kKg9mIrBq+KuyiLAlMtmDkUjoglQtSrio5XJS2l0Ylh6tSDheVHJriaS5l5sugkst46c/BMPwQVcM1Aw8AdfPm8HxwILQDB0IZdIPnRhA1MDKZYO8TVN2LuqIowmC2otBoC1Mloark0lyh0RaUCo22aQVGM4qMljLTSpYpu64ZxZnK3k8qsxa62sllgi0IKeVwUcmuBqPioORaOjhdK0iV+6kpH7KUDFhVwfBDVEXGxETk/7MV+du2ouC/A2UDT4sW8OjfD579+0PdpImEVRI1HIIgQFP8hV/dFqnSSkJV6SB1NTiVhKyyoaqwOEAVmSzQF69TZLJAXzytqNRnk8WWrCxW0d6iVZvUClnxeZJBrbD91Cjl0CjkUJeaVmbeDZbVKOWltltueUX9vVzI8FNHknOKkKrTQyWXQa2QQVXyksugVsqhksuglAtM7g5ItFhQdPQo8rduRf62bfZna5Vg4CGqn0qHKt9a2L7JYrWHpKJy4aj0z6vByVr801y8vLXc/HI/TbbHvJSwXRK0IreoFg7mGkq+09TKysJS2aCkLp6nVsrQo5kfejb3r7tCy2H4qSO/HUzE9M3nbricSiGDWl4qHBUHpJL3tuAkLxui5FfnXSuxl/xylv5c8j996WkcHM3GlJqKgj17UbBnDwp274YlO/vqTLkcrp07w713b7jfdSfUjRtLVygROSyl3PZvqqfm1u7euxkWqwi9ydYCpTdZYDBbi39aYDBZoTdboDdZy8wr/9lQvIyh1LLllzeYrTCYLNCbr7ZoAYDRYoXRYkVeFVu1XJRyhh9n4K5WINzHBUazFcbidG40W2G2imWWK5mPWx+eo1rkMuFqMCoVmNSlPpf+WT48aZS2JtPyTadW49XB2mLT8+FtkpXZjtQDqlny81G4fz8Kdu9Bwd69MF66VGa+zNMT7j172gJPzx6Qa7USVUpEdJW8VN+qumKxitcNSvri4GVbpmywKgllnSK866zeyjD81JGRPRpjZI+KLQRWqwij5WoYMlqs9gBkC0m2Zk1DuelllrPYErnBYrX/whlK/QJW9lNvKknx1jLNpharaL/2XZNKh58BM3dBptKUma8oFbpKfqpKhy+FLUjZAlXx+1ItXfZlyi1f0uxafj1FQR6sp07AcvQwLAcPQH/iBGApdcwyGTTt28EtJgZu3brBNSoKgrL2/nojIqov5DKheGgBqSu5dQw/EpPJBGhktstPUrEHsAoBqVSzaGXhqVySr6zptGT9wgI5Eor356FRwCSTlQldZqsIs9GCghoOXTfWGmjcGsoIE1Si1Ra8NEpoXF2gVittgemwBeoTh6sVwtRKWYX+Xkp5qcuWclm97ThIRFTfMPxQmQCmRe20bhQUFMD9Tdv7/W/dAzc3N1itYnEHvYphqmyoKn5ffM25pFNf5fOt0BfqUZSrQ1F+IfSFehgMJhggwCRTwihXwFj8UxSuXmozyZUwASgAAD0AfRGAOuw1CFvrV+l+XnLr1Wufj83ZA1dXt6uBSVE2OJUPVOrieUq5YOsjVqZ/mACVXF5qHaF4ebn9c+nl2QmfiBoahh+SjEwm2MapUN1aq5dotcKUnAzDuXMwnD0L/alTKDpxEuaUlIoLKxTQtGkD106d4BrdGZqoKIha76uhqXywuomQdXXdG82/GuhMpS5Xlu/vVdL6VXLJsfSlwhNJOshUxls6T9WllAv2jpsl7xXFP1Wl3itlMigVAhSykhB29X3p9VTF27KvZ58ng6rce4VMBqVCBqVMsP2Uy+whUSErV5eiuAa5ALmMd04S0bUx/JDDE0URluxsGC5cgOHceXvYMZw/D2thYcUVBAGqJk3g0q4dNO3bw6VdW6hbtYJMo6mwqEohg0cdHENlSi43lvTfKh2MDGYrdHl56P61bdlZQ6OgULuU6RtmqtD3Syz+aYHJLNrnGUpvu9y+DCXbuk4oM1lEmCwWAHV9SbJ6VOUCllxmC1MKuQBF+fdyGeQyoXg5W9iSF4cruUwos1zpdeUyoXhZWcVlKuyn9D6ubrtkn1fXsb2vuEypehjuiKqF4YcchiW/AMa4yzBeLnnF2X7GxcGqq/zpioJSCVXTplC3aA5Ny1bQtG8HTZu2kLs7/iMkbtTfq6Dg6v+evVsFwq2OHotRPpQZzVaYLSJMVltIMpmL3xcHJaOleH5xiDIVvzdbbIHMXBKuSr2/uoxYPK/UNqxi8bZt65S8N5Xah9ki2kOb2SJWCGxAyS24QH0LbTdLXhyQ5IItDMlk5X4KtjAlF4Sry5Z+FU9XyIuXrbCMDHIBtp+yqz8VMpl927Jy+y6/7cr2Wdl69vXLraeQySAr3qdcBsiK55f+KZPBvp4gXN2PIMD+nv3pqDyGH6oTonj1yylv2zYYsrJhSk4u87JkZl57A4IAZUgI1C1aFL+aQ9OyJVSRkbwLq4Y5Qif8qrJabQGosmBktNjCU0lIshQHKUvxOmaLtfinaF/OYrUFPItVLF621Doly5dep9R0S7lt2ZYt/d62rKW43qv7KL2tsutUxlK8L7o5suIwJBNKh6dS00qCkmD7f6B8iCqzXsm6pdcrF85s73E1lNkD2tWwVn47ZcMdKtRasq+r20SloU9Wqp6rL9ugjqWP2b5sheVvsGxxLfb3peaXHOONli1pCZWKw4efWbNm4YsvvkBKSgratm2LGTNmoGfPntdcfvv27Zg0aRJOnjyJkJAQvP766xg9enQdVuxcRFGEJScH5vR0WDIyYM7IgDk9Heb04p/Fn3Wl+uEkTZwEV1nl4/rIfX2hatQIqkaRxT8bQd2oEZQREZCp1XV1WFTPyGQCVMV9gRoaUbwa1CzlApel1Kv8Z4toC20WK2C2WmEt+SnatmEVK1nHvt7NLVN+/yUh9Op61orLlNu/tXzt4nW2W2q+KML+/mZYRcBqEQEwMDqCV/o0x8R7W0i2f4cOPytXrsSECRMwa9YsdO/eHXPnzsV9992HU6dOISIiosLysbGxGDBgAEaNGoVly5Zh9+7dGDNmDPz9/fHII49IcAT1g9VohLWgANaCwuKftpdFlwtLbi4sOTmw5ubCkmN7b8m9Ot2i05UdH+da+7Beva1d07o1PCIioAwJgTI0xPYzJATKsDDIPT1r81CJ6h2h+FKRov40xNU5a3GosogirFaUei/CKtpayazFQclavIxFLHlfbr2SZUQRFiuKg1a50FW8jliyjH1fpddHqf2JsIi4uq+SacX7vLpeuRrsYe9qCLbtt3wNV7clile3Yy11XCVhsaQ2sdx8a6n1xFJ1iGLZ+WK5Wq+37PXIJO6zJoilr0c4mC5duqBTp06YPXu2fVrr1q3x0EMPYdq0aRWWnzJlCtauXYvTp0/bp40ePRpHjx7F3r17b2qfOp0OWq0Wubm58KzhL2JRFAGrFaLFApjNEC0WiGYzYLGUm2YBLJW9L17WbIFoNEA0GGA1GCEaDBCNBlgNBojX+Gw1GiAW6cuEG2tBASyFhWUezHmr5F5eUPj7QeHvD7mf7afCzx+K4vcGdzf4tm8PAMjPz6+z/iv1WUFBAdzd3QHwnBFR/XOtoGQVRSjlshq/tF6V72+HbfkxGo04ePAg3njjjTLT+/btiz179lS6zt69e9G3b98y0/r164eFCxfCZDJBWUnfEIPBAIPh6ngqumt0rK2u9O++R8Z339XKtmuKoFZD5uZmf8k9PCD38oLcS2v7qbX9lGm19vdyrRcU3l4QVDcY6rOgoG4OgoiIHEJJq6Ujctjwk5GRAYvFgsDAwDLTAwMDkZqaWuk6qamplS5vNpuRkZGB4ODgCutMmzYN77//fs0Vfi036tilVEKQyyHI5YBCcd33kMshU6kgqNXFLxVkqlLv1WoIxZ9lmqvvBbXKFmpKBRyZq6v9Z212HHZzc4MDNzI6JJ4zIqLa4bDhp0T5sSxEUbzu+BaVLV/Z9BJTp07FpEmT7J91Oh3Cw8Nvtdxr8h0xAt5DhlQeaK7R+ZeIiIhqnsOGHz8/P8jl8gqtPGlpaRVad0oEBQVVurxCoYCvr2+l66jVaqjr4C6ikpYWIiIikpbDNjmoVCp07twZmzdvLjN98+bN6NatW6XrxMTEVFh+06ZNiI6OrrS/DxERETkfhw0/ADBp0iQsWLAAixYtwunTpzFx4kTEx8fbx+2ZOnUqhg8fbl9+9OjRiIuLw6RJk3D69GksWrQICxcuxOTJk6U6BCIiInIwDnvZCwCGDBmCzMxMfPDBB0hJSUG7du2wfv16REZGAgBSUlIQHx9vX75x48ZYv349Jk6ciO+//x4hISGYOXMmx/ghIiIiO4ce50cKtTnODxEREdWOqnx/O/RlLyIiIqKaxvBDREREToXhh4iIiJwKww8RERE5FYYfIiIicioMP0RERORUGH6IiIjIqTD8EBERkVNh+CEiIiKn4tCPt5BCyYDXOp1O4kqIiIjoZpV8b9/MgysYfsrJy8sDAISHh0tcCREREVVVXl4etFrtdZfhs73KsVqtSE5OhoeHBwRBqNFt63Q6hIeHIyEhwSmfG8bjd+7jB3gOnP34AZ4DZz9+oPbOgSiKyMvLQ0hICGSy6/fqYctPOTKZDGFhYbW6D09PT6f9pQd4/M5+/ADPgbMfP8Bz4OzHD9TOObhRi08JdngmIiIip8LwQ0RERE6F4acOqdVqvPvuu1Cr1VKXIgkev3MfP8Bz4OzHD/AcOPvxA45xDtjhmYiIiJwKW36IiIjIqTD8EBERkVNh+CEiIiKnwvBDREREToXhpwpmz56NDh062AdmiomJwYYNG+zzRVHEe++9h5CQELi4uOCuu+7CyZMny2zDYDDg5Zdfhp+fH9zc3PDggw8iMTGxzDLZ2dkYNmwYtFottFothg0bhpycnLo4xCqZNm0aBEHAhAkT7NMa+jl47733IAhCmVdQUJB9fkM/fgBISkrC008/DV9fX7i6uuK2227DwYMH7fMb+jlo1KhRhd8BQRAwduxYAA3/+M1mM95++200btwYLi4uaNKkCT744ANYrVb7Mg39HOTl5WHChAmIjIyEi4sLunXrhv/++88+v6Ed/44dOzBw4ECEhIRAEASsWbOmzPy6PN74+HgMHDgQbm5u8PPzw/jx42E0Gqt+UCLdtLVr14rr1q0Tz549K549e1Z88803RaVSKZ44cUIURVH89NNPRQ8PD3HVqlXi8ePHxSFDhojBwcGiTqezb2P06NFiaGiouHnzZvHQoUNi7969xY4dO4pms9m+TP/+/cV27dqJe/bsEffs2SO2a9dOfOCBB+r8eK9n//79YqNGjcQOHTqIr7zyin16Qz8H7777rti2bVsxJSXF/kpLS7PPb+jHn5WVJUZGRorPPPOM+O+//4qxsbHili1bxAsXLtiXaejnIC0trcx//82bN4sAxK1bt4qi2PCP/6OPPhJ9fX3Fv/76S4yNjRV//fVX0d3dXZwxY4Z9mYZ+Dh5//HGxTZs24vbt28Xz58+L7777rujp6SkmJiaKotjwjn/9+vXiW2+9Ja5atUoEIP7+++9l5tfV8ZrNZrFdu3Zi7969xUOHDombN28WQ0JCxHHjxlX5mBh+qsnb21tcsGCBaLVaxaCgIPHTTz+1z9Pr9aJWqxXnzJkjiqIo5uTkiEqlUlyxYoV9maSkJFEmk4kbN24URVEUT506JQIQ9+3bZ19m7969IgDxzJkzdXRU15eXlyc2b95c3Lx5s3jnnXfaw48znIN3331X7NixY6XznOH4p0yZIvbo0eOa853hHJT3yiuviE2bNhWtVqtTHP/9998vjhw5ssy0wYMHi08//bQoig3/d6CwsFCUy+XiX3/9VWZ6x44dxbfeeqvBH3/58FOXx7t+/XpRJpOJSUlJ9mV+/vlnUa1Wi7m5uVU6Dl72ukUWiwUrVqxAQUEBYmJiEBsbi9TUVPTt29e+jFqtxp133ok9e/YAAA4ePAiTyVRmmZCQELRr186+zN69e6HVatGlSxf7Ml27doVWq7UvI7WxY8fi/vvvxz333FNmurOcg/PnzyMkJASNGzfGE088gUuXLgFwjuNfu3YtoqOj8dhjjyEgIABRUVGYP3++fb4znIPSjEYjli1bhpEjR0IQBKc4/h49euB///sfzp07BwA4evQodu3ahQEDBgBo+L8DZrMZFosFGo2mzHQXFxfs2rWrwR9/eXV5vHv37kW7du0QEhJiX6Zfv34wGAxlLr3fDIafKjp+/Djc3d2hVqsxevRo/P7772jTpg1SU1MBAIGBgWWWDwwMtM9LTU2FSqWCt7f3dZcJCAiosN+AgAD7MlJasWIFDh06hGnTplWY5wznoEuXLliyZAn+/vtvzJ8/H6mpqejWrRsyMzOd4vgvXbqE2bNno3nz5vj7778xevRojB8/HkuWLAHgHL8Dpa1ZswY5OTl45plnADjH8U+ZMgVPPvkkWrVqBaVSiaioKEyYMAFPPvkkgIZ/Djw8PBATE4MPP/wQycnJsFgsWLZsGf7991+kpKQ0+OMvry6PNzU1tcJ+vL29oVKpqnxO+FT3KmrZsiWOHDmCnJwcrFq1CiNGjMD27dvt8wVBKLO8KIoVppVXfpnKlr+Z7dS2hIQEvPLKK9i0aVOFv3pKa8jn4L777rO/b9++PWJiYtC0aVP8+OOP6Nq1K4CGffxWqxXR0dH45JNPAABRUVE4efIkZs+ejeHDh9uXa8jnoLSFCxfivvvuK/OXKNCwj3/lypVYtmwZli9fjrZt2+LIkSOYMGECQkJCMGLECPtyDfkcLF26FCNHjkRoaCjkcjk6deqEp556CocOHbIv05CPvzJ1dbw1dU7Y8lNFKpUKzZo1Q3R0NKZNm4aOHTvim2++sd/xUz59pqWl2ZNqUFAQjEYjsrOzr7vMlStXKuw3PT29QuKtawcPHkRaWho6d+4MhUIBhUKB7du3Y+bMmVAoFPb6GvI5KM/NzQ3t27fH+fPnneJ3IDg4GG3atCkzrXXr1oiPjwcApzgHJeLi4rBlyxY8//zz9mnOcPyvvfYa3njjDTzxxBNo3749hg0bhokTJ9pbg53hHDRt2hTbt29Hfn4+EhISsH//fphMJjRu3Ngpjr+0ujzeoKCgCvvJzs6GyWSq8jlh+KkmURRhMBjsv/SbN2+2zzMajdi+fTu6desGAOjcuTOUSmWZZVJSUnDixAn7MjExMcjNzcX+/fvty/z777/Izc21LyOVPn364Pjx4zhy5Ij9FR0djaFDh+LIkSNo0qRJgz8H5RkMBpw+fRrBwcFO8TvQvXt3nD17tsy0c+fOITIyEgCc4hyU+OGHHxAQEID777/fPs0Zjr+wsBAyWdmvDrlcbr/V3RnOQQk3NzcEBwcjOzsbf//9NwYNGuRUxw/U7X/vmJgYnDhxAikpKfZlNm3aBLVajc6dO1et8Cp1j3ZyU6dOFXfs2CHGxsaKx44dE998801RJpOJmzZtEkXRdrufVqsVV69eLR4/flx88sknK73dLywsTNyyZYt46NAh8e677670dr8OHTqIe/fuFffu3Su2b9/eIW7vrEzpu71EseGfg1dffVXctm2beOnSJXHfvn3iAw88IHp4eIiXL18WRbHhH//+/ftFhUIhfvzxx+L58+fFn376SXR1dRWXLVtmX6ahnwNRFEWLxSJGRESIU6ZMqTCvoR//iBEjxNDQUPut7qtXrxb9/PzE119/3b5MQz8HGzduFDds2CBeunRJ3LRpk9ixY0fxjjvuEI1GoyiKDe/48/LyxMOHD4uHDx8WAYjTp08XDx8+LMbFxdXp8Zbc6t6nTx/x0KFD4pYtW8SwsDDe6l7bRo4cKUZGRooqlUr09/cX+/TpYw8+omi75e/dd98Vg4KCRLVaLfbq1Us8fvx4mW0UFRWJ48aNE318fEQXFxfxgQceEOPj48ssk5mZKQ4dOlT08PAQPTw8xKFDh4rZ2dl1cYhVVj78NPRzUDJ+hVKpFENCQsTBgweLJ0+etM9v6McviqL4559/iu3atRPVarXYqlUrcd68eWXmO8M5+Pvvv0UA4tmzZyvMa+jHr9PpxFdeeUWMiIgQNRqN2KRJE/Gtt94SDQaDfZmGfg5WrlwpNmnSRFSpVGJQUJA4duxYMScnxz6/oR3/1q1bRQAVXiNGjBBFsW6PNy4uTrz//vtFFxcX0cfHRxw3bpyo1+urfEyCKIpi1dqKiIiIiOov9vkhIiIip8LwQ0RERE6F4YeIiIicCsMPERERORWGHyIiInIqDD9ERETkVBh+iIiIyKkw/BAREZFTYfghIiIip8LwQ0ROZeLEiXjiiSeg0+mkLoWIJMLwQ0ROxWq1gk/1IXJufLYXERERORW2/BCRU9izZw/kcjn69+8vdSlEJDG2/BCRU3j++efh7u6OBQsW4NSpU4iIiJC6JCKSCFt+iKjBKygowC+//IKXXnoJDzzwABYvXix1SUQkIYYfImrwVq5ciZYtW6Jly5Z4+umn8cMPP7DTM5ETY/ghogZv4cKFePrppwEA/fv3R35+Pv73v/9JXBURSYV9foioQTt79izatWuHxMREBAYGAgDGjRuHrKwsLF++XOLqiEgKCqkLICKqTQsXLoTZbEZoaKh9miiKUCqVyM7Ohre3t4TVEZEU2PJDRA2W2WxGWFgYXn/9dfTt27fMvEceeQQvv/wyxo0bJ1F1RCQVhh8iarDWrFmDIUOGIC0tDVqttsy8t956C+vXr8fhw4clqo6IpMLwQ0QN1sCBA2G1WrFu3boK8w4dOoTOnTvj4MGD6NSpkwTVEZFUGH6IiIjIqfBWdyIiInIqDD9ERETkVBh+iIiIyKkw/BAREZFTYfghIiIip8LwQ0RERE6F4YeIiIicCsMPERERORWGHyIiInIqDD9ERETkVBh+iIiIyKkw/BAREZFT+X9uiuZHEJ7BSAAAAABJRU5ErkJggg==", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "bb1 = BlackBody(temperature=3000*u.K)\n", | |
| "bb2 = BlackBody(temperature=20000*u.K)\n", | |
| "\n", | |
| "wav = np.arange(3000, 10000) * u.AA\n", | |
| "flux1 = bb1(wav)\n", | |
| "flux2 = bb2(wav)\n", | |
| "\n", | |
| "plx = 10.27 * u.mas\n", | |
| "\n", | |
| "with quantity_support():\n", | |
| " plt.figure()\n", | |
| " plt.plot(wav, flux1, c='C3')\n", | |
| " plt.plot(wav, flux2 * ( 0.01**2 ), c='C0')\n", | |
| " plt.plot(wav, flux2 * ( 0.02**2 ), c='C0')\n", | |
| " plt.plot(wav, flux2 * ( 0.05**2 ), c='C0')\n", | |
| " plt.vlines([4000,5200],0, 4e-6, color='k')\n", | |
| " plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 38, | |
| "id": "a5547667-0ebb-489b-b88e-013b82e1e804", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "bb1 = BlackBody(temperature=3000*u.K, scale=1*u.erg/u.s/u.cm/u.cm/u.AA/u.sr)\n", | |
| "bb2 = BlackBody(temperature=10000*u.K, scale=1*u.erg/u.s/u.cm/u.cm/u.AA/u.sr)\n", | |
| "\n", | |
| "wav = np.arange(3000, 10000) * u.AA\n", | |
| "\n", | |
| "plx = 10.27\n", | |
| "dist = 1000 / plx * u.pc\n", | |
| "\n", | |
| "Rstar = 0.1 * u.Rsun\n", | |
| "\n", | |
| "# Star flux\n", | |
| "flux1 = bb1(wav) * (2*np.pi*u.sr) * (Rstar.to('cm') **2) / ((dist.to('cm'))**2)\n", | |
| "flux2 = bb2(wav)* (2*np.pi*u.sr) * (Rstar.to('cm') **2) / ((dist.to('cm'))**2)\n", | |
| "\n", | |
| "\n", | |
| "with quantity_support():\n", | |
| " plt.figure()\n", | |
| " plt.plot(wav, flux1, c='C3')\n", | |
| " plt.plot(wav, flux2* ( 0.01**2 ), c='C0')\n", | |
| " plt.plot(wav, flux2 * ( 0.02**2 ), c='C0')\n", | |
| " plt.plot(wav, flux2 * ( 0.05**2 ), c='C0')\n", | |
| " # plt.vlines([4000,5200],0, 4e-6, color='k')\n", | |
| " plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "53b5255d-5373-477a-ac91-2ca442f519ba", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "dafe52fd-d900-4e37-919d-559b3854c1a2", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# given 2 measurments: (delta DCR, delta g-mag)\n", | |
| "# assuming fixed Teff_star\n", | |
| "# solve 2 quantities: (Teff_fl, A_fl)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "id": "b7525f4c-6868-468e-b75a-923aa1289cce", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$97.370983 \\; \\mathrm{pc}$" | |
| ], | |
| "text/plain": [ | |
| "<Quantity 97.37098345 pc>" | |
| ] | |
| }, | |
| "execution_count": 27, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "Temp_grid = [...]\n", | |
| "A_grid = [...]\n", | |
| "\n", | |
| "\n", | |
| "for i in range(len(Temp_grid)):\n", | |
| " for j in range(len(A_grid)):\n", | |
| " # make the star + BB_flare(Temp, A) spectrum as above\n", | |
| "\n", | |
| " # convolve spectrum w/ g-band filter -> delta_g(i,j)\n", | |
| " # calculate 123 point airmass (X) grid for dDCR grid -> dDCR(i,j,X)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "59abb95c-66ae-44c7-b12c-3a11d8691b28", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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": "3.11.5" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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