{ "cells": [ { "cell_type": "markdown", "id": "69af6a6b", "metadata": {}, "source": [ "# Supernova Model Simulations.\n", "\n", "This notebook uses both Roman and LSST filters. The following cell loads the Roman filters." ] }, { "cell_type": "code", "execution_count": 4, "id": "afdab14a", "metadata": {}, "outputs": [], "source": [ "import os\n", "from slsim.Sources import supernovae\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from slsim.Sources import random_supernovae\n", "from slsim.Observations.roman_speclite import configure_roman_filters\n", "from slsim.Observations.roman_speclite import filter_names\n", "import speclite" ] }, { "cell_type": "code", "execution_count": 2, "id": "45950c7e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# generate Roman filters\n", "configure_roman_filters()\n", "\n", "# import filter bands and make them recogniable in speclite\n", "roman_filters = filter_names()\n", "# filters are ['Roman-F062', 'Roman-F087', 'Roman-F106', 'Roman-F129', 'Roman-F158', 'Roman-F184', 'Roman-F146', 'Roman-F213']\n", "\n", "speclite.filters.load_filters(\n", " roman_filters[0],\n", " roman_filters[1],\n", " roman_filters[2],\n", " roman_filters[3],\n", " roman_filters[4],\n", " roman_filters[5],\n", " roman_filters[6],\n", " roman_filters[7],\n", ")" ] }, { "cell_type": "markdown", "id": "49eb3dce", "metadata": {}, "source": [ "Files used in this notebook can be found at https://github.com/LSST-strong-lensing/data_public" ] }, { "cell_type": "markdown", "id": "e836d7f3", "metadata": {}, "source": [ "Example: Creating an instance of the supernova class without the model directory uses the sncosmo.Model class, and the source used to initialize it is pulled from sncosmo's list of built in sources. In this specific example, the model does not support redshifts z <= 1.1 for the F213 band." ] }, { "cell_type": "code", "execution_count": 5, "id": "25471994", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "class : TimeSeriesSource\n", "name : None\n", "version : None\n", "phases : [-9.7, .., 272.08] days\n", "wavelengths: [1605, .., 25000] Angstroms\n", "parameters:\n", " amplitude = 3.602109142312445e-17\n", "Downloading https://sncosmo.github.io/data/bandpasses/roman-wfi/roman_f213.dat [Done]\n", "Downloading https://sncosmo.github.io/data/bandpasses/roman-wfi/roman_f106.dat [Done]\n", "Downloading https://sncosmo.github.io/data/bandpasses/lsst/total_i.dat [Done]\n", "Downloading https://sncosmo.github.io/data/bandpasses/lsst/total_g.dat [Done]\n" ] }, { "data": { "image/png": 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QdrH0ax4thzOrACkyf2f0UveMaPXcl8nb25vatWtf9tedPRMsLS3tvLWr0tLSaNy4MUDx9fXr1y++3Ww2U7NmTZKSki77OUukMA9+eQxO7YeiAvAJg8CaENMGarQH37BLP0YFtmR3GsN/2ES+3UGAl5GHr4/jjuZR+Jiv/L9hmrWAdYcz2HDkNBuTMtlxPAu7w3XeoSK9TqFWiDetawbRulYQLWKDCPQ2lcZLEqLcKIpC+7gQ2seFFJ/OfzrPTmZeIek5hZzILmDrsSwW7kjlyKk8Xpm9g4mrDvPyjfW5Lj5U6/iiDEmR+TtFuezDO+4oNjaW8PBwFi9eXFxcrFYra9eu5cEHHwSgWbNmmM1m9uzZQ7t27QCw2+0cPnyYmJiYsgl2dA1s+/nc5yd2wsE/YP3X6ufBdSC6tVpswhtBYCwYPcsmSymb/FcSL83ajsPpon1cMO/e3pgQ36s/XzbM4sGNjSK5sZF6SPTs1PGncmzoFAVvs4HqAZ4Y5bCQqEQURSHIx0yQz7//D+Xd3IBpG47x4eJ9HDyZy+AJ6+jeIJxXb25AmAwUrpSkyFRCOTk57N+/v/jzQ4cOsXnzZgIDA4mOjkZRFB5//HHeeOMN4uLiik+/joyMLD67yWKx8MADDzBy5EiioqKIiYlh3LhxANx2221lE9x55hBIYE244R3IToETu+DQckjdBul71W3j2flzFPCLAv9odW+NT/i/P1oiwePio90vxu5wsvZgBhl5hTSJ8r/iUz+dThfjFu7hs6UHAOjbrDqj+ySUWbEw6nXqYFx/9yh4QpQ2L5OBe1rXoHeTany0eB8TVh7mtx2prNyfznM96tK/RXTxGDJROUiRqYTWr1/PddddV/z52bWnBg4cyMSJEwF49tlnyc3N5f777yczM5N27drx22+/nXfa9Lhx4zAYDNx9993k5+fTsmVLlixZQkBAQNm+ALMFanc6/7q8DEhaA0mrIGktnNwDtizISlK3Sz2epRr4VTvzMQqCa0NIXQisBYbzD7PsP5HDA99vYP/fBsXe2CiCZ7vVJTro34Umv9DBrlQrRQ5X8eJ6HkYdu1OzeWveruJTSB+9vjZPdKkjc6QIUQ4sHkZe7FmfPk2r8/z0rWw5lsVLs7Yze/NxRvdpRO1Qn0s/iHALMo+MzHtSaq76/dy3CH7oCxGNYdiy/76vywV5pyB9H1iPQ3Yq5KRCdtr5Hwuy/vtxFD0E1VJLTWh9Mi11GLYgn3VWP3w8TMQGe7P1eFbxIoRD26sDCO0OJ2sPZbB4Vxor9qVj+8c8KzqF4lOoTQYdY29tRO8m1S7/PRFCXDWH08WkVYd5Z+Ee8godmPQ6HrquFg92rIXZIKdwV1Qyj4yo3BQFvIPV7b/YcsCaDNZjkHUMso5D1lF1j87JPVCYfe6Q1a45+ANTgAIPE/qw+hgjGpIWF8uEfZ7MOObHJ384+OSPA/96mhBfM14mPWnWAgrsTpwuMOl1dKoXytPd4qkVIn/9CaEVvU7h3naxdG0QxsuztvPHnpO8//s+5m5NYUyfBK6pIdNJuDMpMqJScxq92VMUTqrdn9DwZtRrbDl3fNzlUkvOyV040naxctVy/LP3UUd3HA8KIW0zpG0mDHgeeN4DTumCWGhvxO+ullgj29E+PpzO9cKoF+GLoii4XC5yCx3kFBQR6G2SUz+FqECqB3jxzaDmzN2awqu/7GD/iRz6/m81d7WK5tnudS97cklRMUiREZWS3eFkyrqjfLb0AMcz84uvjw704skudbgpMVItNH7VcPpG8vymEKaeqomnUc9Pg5uT6H0aTuyAtJ1wcpc66PjUfoKcp7hT/wd38gfkBIOtDzhuA5oD6tkUPmbDVZ1SLYQoO4qi0CsxkvZxwbw1bxc/rz/G92uS+GP3ST7u34Qm0WU8BlCUOhkjI2NkSk25jpH5D/tP5PDo5E3sPDPpnLdJT3SQN0mncsk9s7hh/QgLD19fm7rhvnzyxwGmbzyGToEv77mGTvUuMl+NPR+OrITd82DnbMhLP3ebwRN8QkBnUDdFr36MbAytHoKw+hd+TCGEplYdSGfEjG0cOZWHUa8wokc9BretIYPyK4CSjpGRIiNFptRoXWRcLhc//pXE63N3UmB3EuBl5PHOdbijeRQeRj35hQ6+WXmIz5YeIMdWdN7XKgq80zeRW5tVL9mTOexwcBlsmwq750Lhhaf9Vx9cB9cMgc4jwex72a9LCFG2sgvsPDd9K/O2qUu0dG8QztjbGsmhJo3JYF9RpaRmFTBixlb+2HMSgPZxwYy/LfG8lXI9TXqGX1ebO1tE882fh5i56Tip1gLqRfgyokc92ta+xMDhv9MbIa6zuhUVqoOJc0+By6HOh+MsUsvNlsmw6xdY9yXsXQA3fQi1rrv04wshyo2vh5FP+jdl0qrDvDlvF7/tSGXfiWy+Gtic2ODKP0mqu5MiI9yW3eFkZ7KV+dtT+WHNEbJtRZgMOp7tFs+9bWMvOulVoLeJp7vF83S3eJxO19VPjmUwqZP4Bdb89211e8LBpTDnEchMgu96Q7NB0OX1K5qoTwhRNhRFYVDbWBpHB/DAdxs4cDKX3p+s5NMBTS/vjxxR7qTICLdy4GQO0zYcY/3hDLYdz6LAfm7+lsTqfrxzWyJxYSU/fFMuM3zW7AgProbfR6l7ZjZMhH2/Q9vHoN6N6uzDQogKoXGUP3Mebsv9321g89FM7vnmL165sT73tI6RcTMVlBQZ4RZybUW89stOpqw/et71fp5GmtcI4I7m0XSqG1pxpx43+0DPd6D+zTDnYTh9GOY/o26W6hDRCELrQWh9dQuq/a8Zh4UQ5SPU4sFP97fihRnbmLHpOCPn7ODgyRxe6dUAfUX9GVOFSZFxUx07dqRx48a8//77pfq4hw8fJjY2lk2bNhUvKKm1E9YC7vp6LXvTclAUuD4+lO4Nw2kS7U/NYJ+KW14uJLY9PLgKNn4LW3+GlM3q+BrrMdgz79z9jN5Q/yZoPABqtFNHI1+MLQc2TFDXo/KPhpYPgndQmb8UISozD6Oe8bcnEh/uy5jfdjNp9RHScwt59/ZEmQ24gpEiU4UNGjSIzMxMZs2aVXxdVFQUKSkpBAdrc0z4sMFAKC7OrmiUmlVA/y/XcDA9lzCLmQ/6NaFVTTf/JW3yhlYPqpstRy0zaTvV1b5P7FI/2qzqQOEtk9XlE5rfB4n9zj/ryVEEm7+HJW9C7olz16+fAHfPgIjEcn9pQlQmiqIw7NpaRPp78uTPm/l1awqncwv5/O5m+MoZTRWGFBlxHr1eT3h4uCbPvS83hT5RkYS5shh/cguB+jgGfLWWpIw8qvl78tP9ra54FeoKy+yj7nGp0e7cdS4XHFsHm3+ArVPh5G6Y9zT8/qq6lya0Ptiy1VO/M84slxAQC43uUOe3ObkLvr0Z7lusriMlhLgqvRIjCfAyMey79aw6cIp+X6zhuyEtCfSWw78VgcyfXgl8+umnxMXF4eHhQVhYGH379i2+bdq0aSQkJODp6UlQUBCdO3cmNzeXUaNGMWnSJGbPno2iKCiKwtKlSzl8+DCKorB58+Zyfx2phZkApClOBs4fxM3fjiUpI5foQC+mDKuEJeZiFAWiWkCvD+CpXdBjLATFqetCbf4BFr4Iy8aoJcYzALqPgeF/wXUjYMgCiGwK+afhh9vUVcP/yWFXC8/85+HXp+CvL8GaUv6vUwg30i4umJ/ub02Qt4kdyVb6f7mG07mFWscSyB6Z87hcLvKL8i99xzLgafC8ohHx69ev59FHH+W7776jTZs2ZGRksGLFCgBSUlK48847GTt2LLfccgvZ2dmsWLECl8vF008/za5du7BarUyYMAGAwMBAkpOTS/V1XQ6H89wZSA5XEY6A6YR6JfFt3/FUD6giJeafPPyg5TBocT8cWg6HV8Cp/WD0UstOw77qXp2/37//FPiyk1p0ptwNd89UBw67XOrkfb+PUh/j7+Y9A7U7q89VqxPo5G8cIf4pobofU4a1pt8Xa9idmk3/r9by430tCZA9M5qSIvM3+UX5tPyxpSbPvbb/WryMl//LOikpCW9vb2688UZ8fX2JiYmhSZMmgFpkioqK6NOnDzExMQAkJCQUf62npyc2m02zQ0n/dHZNpBo22J3ZE4+w+eSb1/HEint5r+N71PCroW1ALSkK1LxW3S7FJ1QtM193hSN/wvd9oE432DETjm9Q7+MVDAl91UJ0ZCUcXQv7F6lbYE1oPhQa3gq+F1muQYgqqnaoDz/d35J+X6xlV4qVAV+t5QcpM5qSP7vcXJcuXYiJiaFmzZrcfffd/PDDD+Tl5QGQmJhIp06dSEhI4LbbbuPLL7/k9OnTGie+OIdTXS1DccGvA19kYvdvCPYMZn/mfvr92o/fj/yucUI3ElYfbpsIepO6F2fhS2qJMXpBh2fg0U3Q42112YQhC+GRjdBqOJj9IOMgLBgB4+vAx81h7hOwZYp6ynjlXtFEiBKpHerL5KEtCfYxsTPFyj3f/EV2gV3rWFWWrLX0t7WB3OnQ0t9Pvy4qKmLp0qUsXLiQ6dOno9PpWLduHf7+/rhcLlatWsXChQuZOXMmqamprF27ltjY2AuetXQ1p19f7VpL3857i3EnJ1PLpjDr/q0AnMw7ydPLnmbjiY0ADG4wmEebPopBJzsTSyR9P6z9DLJT1bOYmg1S99hcjC0Htk5RTw9P2QL848eDTzhEt4To1hDTFsIaymEoUWXtS8um3xdrOJVbSJtaQXwzqDkeRjk1u7TIWktXQFGUKzq8ozWDwUDnzp3p3LkzI0eOxN/fnyVLltCnTx8URaFt27a0bduWV155hZiYGGbOnMmTTz6JyWTC4XBoHf8/hXiF8FW3r/hgwwdM2jmJCTsmsOf0HsZdOw6LSab4v6Tg2tBzfMnvb/aB5kPULS8DjqyCpNWQtEYtNjmp6kDhnbPV+3v4q4Xm7JlXUmxEFRIX5svEwS2488s1rDpwisd/2swnA5rKpHnlTIqMm5s7dy4HDx6kQ4cOBAQEMG/ePJxOJ/Hx8axdu5bFixfTtWtXQkNDWbt2LSdPnqRevXoA1KhRgwULFrBnzx6CgoLw8/PT+NVcmFFn5OnmT9MopBEvrXyJVcmrGPDrAD7u9DExlhit41VeXoHqEgr1blQ/t+fD8Y1wdA0cWa0WnIJM2POrusG5YhPVAqo1g8gm5w9GFqKSSajuxxd3N2PQhHX8tiOVl2Zt461bEmQ5g3IkRcbN+fv7M2PGDEaNGkVBQQFxcXFMnjyZBg0asGvXLpYvX87777+P1WolJiaG8ePH06NHDwCGDh3K0qVLueaaa8jJyeGPP/6gRo0a2r6g/9C1RleifKN4ZMkjHLYepv+v/Xm347u0jNBmgHaVY/SEGm3VrT3qhHwpW9QxOIf/vHCxUXTqhH7VmkK1a9RyE1of9PKjR1QebWoH80G/xgz/cSOT/zpKkLeZp7vFax2rypAxMlcxpkOcryzGyFxIen46jy15jK3pWzEoBka0HMHt8bdfTXRRGs4WmyN/wrH16t4b67F/38/gCZGNIbwRhDeE8AQIqQdG+T8o3Nvkv5IYMWMbAGP6JNCvRbTGidybjJERlVawZzDfdP+GV1a+wrxD83h9zescyDzAM82fkUHAWtIboHozdTsrO1U9W6p426guv5B05tDUWYoeguPUMTZny01Ygpz+LdzKnS2iSc0q4IPF+3hx1naqBXjSPi5E61iVnvzUF27JrDczpv0YavvX5sNNH/Lj7h85bD0sg4ArGt9wqNtT3QCcTnUyvuSN6iKXZ7f8DHUphpO7Yfu0c1/vHXKu3IQlqB+D64Be1rkRFdPjneNIyshj5qbjPPT9RqY/1IY6Yb6X/kJxxaTICLelKApDGw0l1i+WF/58oXgQ8CedPiHaIrt0KySdDkLqqFtiP/U6lwuyUyB1O6SdLTfb1cKTexIO/qFuZ+lNEBJ/rtiEJ6hlxytQm9ckxN8oisKYWxM4fjqfvw5nMHjCOmYOb0Oorxw6LStSZITb6xzTmWo+1YoHAd/565281/E9WkS00DqaKAlFAUukutXpeu76wlx1NfDUbZC2/UzR2aGuOXV2T86Wvz2Opdrf9t40VOfNCaypPr4Q5chs0PP53c3o89kqDqXnMnTSen66vzWeJpljpixIkRGVQr2gekzuOZnH/3icrelbGbZoGC+0eoHb6tymdTRxpUzeUP0adTvL6YTMI38rNtvVQpN5BKzH1W3fgnP39/CDiMbq4OLIJurlgBpSbkSZC/A2MWFQc275dCVbjmXxxJTNfDqgKTqZY6bUSZERlUaIVwhfd/uaV1a9wvxD83lt9WsczDzIU9c8JYOAKwudDgJj1a1er3PXF1jVvTVni83ZvTgFWXBombqd5eF/frGJbAL+0VJuRKmrEezNF/dcw4Av1/LbjlQ+WrKfxzrHaR2r0pGf7qJS8TB48Hb7t6ntX5uPNn3E97u+51DWIcZdOw5fkwy4q7Q8LBDTWt3OKiqEk7sgeTMkb1K3tB3qXDcHl6rbWZ6BarmJaAxhDdS5b4LjwGAuz1chKqHmNQJ5o3dDnp2+lfd+30v9SAtd6svZeKVJioyodBRF4f5G9xPrF8uLf77IyuSV3DP/HiZ2n4ifuWLOXizKgMGkjpOJSIRmA9XrimxwYue5cpOyWS03+RlwYIm6naXo1TE2oXXVeW7OfgyqrT62ECV0e/ModiRnMWn1EZ6YsplZw9tQO1T+sCotUmREpdUlpgvVfarz8OKH2Z+5n4cXP8yXXb/EwyBnD1RZBrN6KCmyCTBYva7IppaZs8XmxJnTwG1WOLVP3Xb9cu4xdAYIrHWm2JzZgmqrp5p7BctaU+KCXrqxPnvSsllzMIOh325g1vC2+HnKNAKlQYqMm/r76tfi4uoF1ePzLp9zz2/3sPnkZl748wXGXzte1kER5xjMZ5ZQaHruurOnhJ/YpZaa4o+71bOm0veoG7PPfyxFr8594xMCPmFqwYlpC3FdZebiKs6o1/FJ/6bc9PFKDqXn8szULXx+dzP5WVQKpMhUYYMGDSIzM5NZs2ZpHaVM1Q6ozUfXf8TQhUNZdGQR3+/6nrvr3611LFGR/f2U8Nqdzl3vcqlnRp3YrY6/OfsxMwly08HlUFcIz0kFtsH+32Ht/9QBxk3ugpYPgH/UhZ/T5VIPe+36BdL3qaefe1jAK0g9tdyvGliqqx99wkAnp/K6myAfs3pa9qerWLgzjUmrDjOobazWsdyeFBlRJTQLa8YzzZ/hrbVv8e76d2kU0ojEkEStYwl3oyjgV13d4jqff5vDrk7gl3NC/ZidCqlbYfc8dc2p1R/Dms+g/s3Q+mF1KQen81x52THzzF6eEtAZwDdCLThnC1fx5TMffcJkcc4KqGE1P164oS6jftnJW/N20ywmkITqMnbvash3eSXw6aef8t5773H06FH8/Pxo374906ap07xPmzaNV199lf379+Pl5UWTJk2YPXs248aNY9KkSQDFuzb/+OMPOnbsyKpVq3jooYfYvXs3DRs25KWXXuKWW25h06ZNNG7cWKuXedX6xfdjQ9oGFhxewHPLn2Nqr6lyJpMoPXrjuVLxd93HqHtm1nyqnim1Y4a6eQWDo1Adi1P8GCao3QVi2oDZB2zZajGyHoes45B1TD3k5SyCrKPqdjGKTj3M5RV0bvMOVgtOtaZQvYW6x0eUu4FtarDqwCkW7kzj4ckbmftIO3w9ZLzMlZIi8zculwtXfr4mz614el7RsdL169fz6KOP8t1339GmTRsyMjJYsWIFACkpKdx5552MHTuWW265hezsbFasWIHL5eLpp59m165dWK1WJkyYAEBgYCBWq5VevXpxww038OOPP3LkyBEef/zx0nypmlEUhVGtR7E9fTvHc47z5to3GdN+jNaxRGWn00OdbuqWuk3dK7P1Z8hLV283ekFsB2jQB+K7q5P4/RenQ93bYz0O1uRzH8+WHGvyubKTk6ZuF6Lo1BXIa14LsddCdGsweZXuaxcXpCgK4/omsuPDFRw5lcdLs7bz/h2NZbzMFZIi8zeu/Hz2NG126TuWgfiNG1C8Lv+HSFJSEt7e3tx44434+voSExNDkyZNALXIFBUV0adPH2JiYgBISEgo/lpPT09sNhvh4eHF133zzTcoisKXX36Jh4cH9evX5/jx4wwdOvQqX2HF4GPyYUz7MQz6bRC/HvyVdtXacWPNG7WOJaqK8ATo/Sn0GAsZB9Q9MEG1L28RTJ1eHSfjV+3i93E6zh3mykuHvAx1DE/eKXUW5KNr4fRh9SytlM2w8gPQGdW5dAJrgl8UePqD2aLutTFb1LWsPAPVPTtmn6t6GwT4eRn58M7G3P75GmZvTqZDXAi3NquudSy3JEXGzXXp0oWYmBhq1qxJ9+7d6d69O7fccgteXl4kJibSqVMnEhIS6NatG127dqVv374EBARc9PH27NlDo0aN8PA4d4ZFixaVa82ixqGNGZY4jE83f8oba96gcUhjqvvKDxBRjsw+6vw2ZUWnV08H9w2/+H2syXBoORw8M/Ox9TgcW6dul+IdembhzoZnzvhqJutaXYFmMYE83imO8Yv28srs7TSNCSA22FvrWG5HiszfKJ6exG/coNlzXwlfX182btzI0qVLWbhwIa+88gqjRo1i3bp1+Pv7s2jRIlatWsXChQv56KOPePHFF1m7di2xsVV7pPzQhKGsTl7NphObeH7F80zsPlGWMRBViyVSXYE8sZ96xlTGQXXvzOkz61YVWNXxO7ZsdamHvAx1j47DBrkn1O3winOP5+Gnzs8T1hCMnoACTrt6iMtRpF42eqkzJgfHQ1h9MMsYtYeuq82f+9NZeyiDRydvYvqDbTAZZC6iyyE/uf9GUZQrOryjNYPBQOfOnencuTMjR47E39+fJUuW0KdPHxRFoW3btrRt25ZXXnmFmJgYZs6cyZNPPonJZMLhcJz3WPHx8Xz//ffYbDbMZnV69nXrSvAXmpsx6AyMbj+avnP6suXkFr7Y+gUPNX5I61hCaENRIKiWuv0Xl0stNqf2qaeep2yB5I2QslUtO/9c+uG/n1R9vohEdaxORCMITwTvoKt8Me5Fr1N4v19jenywgm3Hs3hn4R5euKGe1rHcihQZNzd37lwOHjxIhw4dCAgIYN68eTidTuLj41m7di2LFy+ma9euhIaGsnbtWk6ePEm9eup/kho1arBgwQL27NlDUFAQfn5+9O/fnxdffJH777+f559/nqSkJN555x2ASjcQrZpPNV5u9TLPrXiOz7d+TuvI1jQJbaJ1LCEqLkVRx8xUa6ZuTQao1zvs6mnkxzfCqf3q2VgupzruRm9QP+oMatk5W4Kyk9X7ntoP26efew5L9XNLS0Q1h6iW6krolViEnydjb23E/d9t4IvlB2lTK4iO8aFax3IbUmTcnL+/PzNmzGDUqFEUFBQQFxfH5MmTadCgAbt27WL58uW8//77WK1WYmJiGD9+PD169ABg6NChLF26lGuuuYacnJzi069/+eUXHnzwQRo3bkxCQgKvvPIK/fv3P2/cTGVxQ80b+PP4n/xy8BeeX/48026aJqdkC3G59MZz5aOkck5C6hZ1b07KFnXOnYyD6pw71mOw51f1fjqjWppqtIPY9mqxMXqeOXsrRf2as5stRx1/FFJXPcwVUtdtxu10bRDOPa1j+Hb1ER6ZvImpD7SmbricHl8SisvlcmkdoixZrVb8/PzIysrCYjn/m6KgoIBDhw4RGxtbKX9Jl5YffviBwYMHk5WVhed/jOW52vfz23lvMe7kZGrZFGbdv/VqIl+WnMIcbvvlNo7lHKNrTFfGXTsOnSLHqIUodwVZkLpdLTYpm+HIqn/PlaMzqnuFCqzquJv/4hcF8T3UU9ujWlb4dbAK7A7u+fov/jqcQbjFg+kPtaGa/5WNn6wM/uv399/JHhnxL99++y01a9akWrVqbNmyheeee47bb7/9P0uMO/Mx+TCmwxgGzh/IwiMLCVgbwIstX6x0h9KEqPA8/KBGW3UDdUxO5hE4tEIdWHxohXpIKu+UervOoJaVoFrqWVOeAZB/GtJ2wvENagn66wt184+GhNsg4XZ1wc8KyMOo54t7mtH3f6vZfyKH2/+3mu+GtKBmiJzu/l80LTKjR49mxowZ7N69G09PT9q0acPbb79NfHz8efdbvXp18dk2er2exo0bs2DBgkr7i1VrqampvPLKK6SmphIREcFtt93Gm2++qXWsMpUYksgb7d7ghRUvMGXPFDIKMnij7Rt4Gd1v8LcQlYaiQEANdWt6t1psso6p61CZvMA38uLLMBTmqaeV75ytLgGRmQQrxqtbeCNodDs07AuWiPJ8RZfk72Xi23tbcNdXazmYnsvtn6/m64HNSYzy1zpahaXpoaXu3bvTr18/mjdvTlFRES+88ALbt29n586deHurg7tWr15N9+7dGTFiBL169cJgMLBlyxZuvvnm4rNq/oscWio/7npo6e/mHJjDyFUjKXIWEeYVxp1176R7bHeq+fzH5GNCiIqtMA/2zoetU2H/IvWUcAAUddxNi/shvmeFOvSUnmNj4Dd/sSPZiodRx/t3NKF7w/+YF6gSKumhpQo1RubkyZOEhoaybNkyOnToAECrVq3o0qULr7/+eokew2azYbPZij+3Wq1ERUVJkSkHlaHIAOrcMsufJzk3ufi62v616RrTlbvq3yWDgYVwZ7mnYOdMtdQcXXPu+qA4aPsYJN5ZYRbbzLEV8fCPG1m65ySKAi/0qMd97WOrzGHvkhaZilM/gaysLEBd8wfgxIkTrF27ltDQUNq0aUNYWBjXXnstf/7550UfY/To0fj5+RVvUVFRl3zeCtTl3FpleR+bhDZhdu/ZjGo9iubhzdErevZn7ufTLZ/Se3Zv9mSUcIViIUTF4x0Eze+DIQvgsS3Q/ml1bM6pfTDnYfi0Feyaqx7G0piP2cBX91zD3a1icLngzXm7eGnWdoocTq2jVSgVpsg4nU4ef/xx2rZtS8OGDQE4ePAgAKNGjWLo0KH89ttvNG3alE6dOrFv374LPs6IESPIysoq3o4evfjqsEajur5JXl5eKb+aqqmwsBAAvV6vcZKr52Hw4NY6t/JNt29Ydscy3mr3FlG+UZzIO8HQhUNJy73IQnxCCPcRUAM6vQxP7IAur6vrSJ3aB1MGwDfd1bOnNGbQ63jt5ga8fGN9FAV+WJvEkEnryS64xBlbVUiFObT04IMPMn/+fP7880+qV1fXvVm1ahVt27ZlxIgRvPXWW8X3bdSoET179mT06NGXfNxL7ZpKSUkhMzOT0NBQvLy8qswuu9LmdDpJTk7GaDQSHR19Re/jD9NGYvn4Zw7F6nh0wo4ySHl1smxZDFkwhD2n99AqohVfdPlCvl+EqEwKrOoCmqs/gaJ8UPTQejh0fL5CTMq3cEcqj/20mXy7g7rhvnwzqDmRlfj0bLc6/frhhx9m7ty5LF++vLjEAEREqKPJ69evf97969WrR1JSUqk899mVn0+cOFEqj1eV6XS6Ky4xAD6HT1I7FWqnOsle8ge+119Xygmvjp/Zj3eufYe+v/RlTcoa/jj6B9dHX691LCFEafGwqHtomg+BBS/Ajpmw6kPYOQtu/gRiO2gar2uDcH4e1pp7J61jd2o2vT9ZyXdDWhIfXrXH7WlaZFwuF4888ggzZ85k6dKl/1rIsEaNGkRGRrJnz/ljEvbu3Vs8O+3VUhSFiIgIQkNDsdtlV93VMJlM6K5m1P/fClDKyy/jmTgbQ1DFWnelhl8N7ql/D19u+5IPN35Ix6iOMnmeEJWNJRJumwiN+sGvT6mnbk+6Cdo/BR1HaDoYOKG6H7OGt+XeCevYk5bN7Z+vZsLg5jSNDtAsk9Y0LTLDhw/nxx9/ZPbs2fj6+pKamgqAn58fnp6eKIrCM888w8iRI0lMTKRx48ZMmjSJ3bt3M23atFLNotfrK8XYjsrCceoUaW+/TbWxY7WO8i+DGw5m8u7JHMg6wPJjy+kY1VHrSEKIshDfXV0aYcEI2PgtrHhHnZjvtkmazj9Tzd+Tn4e1ZvDEv9iYlMmAL9fyxT3NaB8XolkmLWn6p+Rnn31GVlYWHTt2JCIionibMmVK8X0ef/xxRowYwRNPPEFiYiKLFy9m0aJF1Kp1iVVahduz/jKXgj0V7wwhX5Mvt8XfBsA327/ROI0QokyZfeCmj6DvN2C2wNG18FUndY0oDfl5Gfn+vpZ0qBNCvt3BvRPXMW9biqaZtKJpkXG5XBfcBg0adN79nn/+eY4ePUpubi6rVq2iXbt22gQW5eJYmIJvj+7gcnHyvfe1jnNBd9e7G6POyKYTm9h8YrPWcYQQZa3hrTBsGQTXAetx9aymPfM1jeRlUk/P7tkoArvDxcM/buSnv0pn/Kg7kYP7okIKefRR0OnIWbqUgr17tY7zLyFeIfSs2ROA73Z+p3EaIUS5CKwJQxZB7LVgz4Wf+sOWKZf+ujJkMuj4sF8T7mwRjdMFz8/Yxv+WHdA0U3mTIiMqJHNsLL5dugCQMWmSxmku7O76dwPwe9LvHM85rnEaIUS58PSHu6ZD4wHgcsLMYbBB259Rep3CW7c05KGO6pCLMfN3M3rerkozSemlSJERFVbQ4EEAWOf8QtHJk9qGuYA6AXVoFdEKp8vJj7t+1DqOEKK86I1w08dwzRDABb88Cn99qWkkRVF4tntdXrhBXdn78+UHeXba1ioxC7AUGVFheTZujGdiIi67ncwZM7WOc0Fn98rM2DeDnMIcjdMIIcqNTgc9x0Prh9XP5z2t+WEmgPs71GJs30bodQpTNxzjge83UmB3aB2rTEmRERWa/x13AJA5fTouZ8X7y6JdtXbUsNQgx57Dj7tlr4wQVYqiQNc3oOUD6uezHoTd87TNBNx+TRT/u6sZZoOO33elcc/Xf5GVX3nnSZMiIyo0S/du6Ly9sSclkffXOq3j/ItO0TEscRgAX2/7mhN5MkO0EFWKokC30ZDYH1wOmDoIDq/UOhVd6ofx7b0t8DUb+OtwBnd8vpoT1gKtY5UJKTKiQtN5eWG58UYAMkt5EsTSckPsDSQEJ5BXlMeLf76Iw1m5d+MKIf5Bp1Pnmql7Izhs6qKTGQe1TkXLmkFMGdaaYB8zu1Oz6ffFGtJzbFrHKnVSZESF59+3LwDZCxfiyMzUNswF6BQdb7R9Aw+9B2tS1vDyypelzAhR1egNcOtXENkU8k/Dj3dAfqbWqagfaWHGg22o5u/JwfTcSnmYSYqMqPA8GjbAHB+Pq7CQrLm/ah3ngmr612RMhzHoFT2/HPyF51Y8h81R+f7yEUL8B6Mn3DkZLNUgfa96mMlRpHUqooO8+P6+lgT7mNmZYmXIxHXYiirPH1tSZESFpygK/rfeCkDmjOkap7m4TtGdGNthLAadgQWHFzBs0TCybFlaxxJClCffcLXMGL3g4B+wbIzWiQCIDfbmuyEtsHgYWH/kNK/M2lFp5pmRIiPcgqXXjShGI7aduyjYuVPrOBfVtUZXPuv8GT5GHzakbWDYomHkF+VrHUsIUZ4iEtUxMwDL34H9i7XNc0a9CAsf92+KToEp64/yYyVZzkCKjHALhoAAfDp3AiBz+gyN0/y3VhGtmNRjEgHmAHac2sEba97QOpIQorwl9IVmgwEXzLgfrBVjQccOdUJ4pps6ad6rv+xkX1q2xomunhQZ4Tb8+6iHl7LmzsVpq9jjT+oE1OHdju+ioDDnwByWH1uudSQhRHnrPhrCEiAvHeY8DBXkUM4D19akY3wIhUVOnvh5M3Y3n/1XioxwG95tWmOIiMCZlUX2779rHeeSrgm/hrvq3wXAa6tfI8+ep3EiIUS5MnpC369Bb4b9v8PGirFunKIojL21Ef5eRrYft/LR4n1aR7oqUmSE21D0evxv6Q1AVgU/vHTWI00eIdI7krS8NFklW4iqKCQeOr2sXl7wIpw+rGmcs0ItHrzZOwGAT5YeYPPRTG0DXQUpMsKt+N1yCwC5q1djP17xV5z2NHjyWNPHAPhm+zek56drnEgIUe5aPQTRraEwB2YNhwqy3ErPRhHc3DgSh9PF01O3uO2aTFJkhFsxRUXh1aoVuFxkzpyldZwS6R7bnQZBDcgryuN/W/6ndRwhRHnT6aH3p+op2Uf+hPVfa52o2Ks3NSDE18z+EzmMX7hH6zhXRIqMcDv+t/YBIHPqVFxF2k82dSk6RcdT1zwFwLS90ziUdUjjREKIchdYEzq/ql5eNBJOH9E2zxn+XibG9FEPMX315yHWHc7QONHlkyIj3I5vt27oAwMpSksje/ESreOUSPPw5nSs3hGHy8H7G97XOo4QQgvN71MPMdlz4ZdHK8xZTJ3qhdG3WXVcLnh66hbyCiv+H4h/J0VGuB2dyYT/7bcBcPqHHzROU3KPN3scnaJjydElbEzbqHUcIUR50+ngpo/B4AEHl8KminMCwCu96hPh58GRU3m88esureNcFikywi0F3HEH6PXk/fUXBXv2ah2nRGr516JPnHpY7M21b2J3VK6F24QQJRBcG657Ub284EWwJmub5wyLh5GxfRuhKPDj2iS+X1MxDn2VhBQZ4ZaMERH4dlJn+j39448apym5hxs/jL/Zn72n9/L19ooz4E8IUY5aD4dqzcBmhblPVJhDTO3jQni6azwAo+bsYMW+kxonKhkpMsJtBdw1AICsOXNwWK0apymZIM8gRrQYAcDnWz5nfep6jRMJIcqdTg83fwJ6E+z9DbZN1TpRsYc61uLmxpEUOV3cN2k9y/dW/DIjRUa4La/mzTHHxeHKzydr5kyt45RYj9ge9KjRgyJXEU8te4pj2ce0jiSEKG+h9eDaZ9XL85+FnBPa5jlDURTG9m1Ep7qh2Iqc3DtxHRNWHqrQK2VLkRFuS1EUAgaoe2UyfvgRl8M9JnNSFIVRbUYRHxBPRkEG9y28j5ScirGgnBCiHLV9HMITIP80zHta6zTFzAY9n93VrHjPzKu/7OSOL9aw4UhGhSw0UmSEW/O7qRc6iwV7UhI5y9xnYUYvoxefdv6UaN9ojucc5655d7Hj1A6tYwkhypPeCDd/CjoD7JwNO2ZpnaiYyaDj/TsaM7JXfTyNev46lMGtn62m2/vLefu33azcn06urWKcpi1FRrg1nZcX/n37ApDx3bcap7k8oV6hfN3ta2r51eJE/gkGzR/EgsMLtI4lhChPEY2g3RPq5XlPQ17FmZBOURQGt43l96eu5fZrqmMy6NiblsNnSw8w4Ku1NHp1Ib0++pNXf9nBxqTTmuWUIiPcXuCA/qDTkbd6DQV73eNU7LPCvcP5/obvaV+tPQWOAp5e9jT/2/K/Crn7VghRRjo8AyH1IPck/Pa81mn+pZq/J2P7JvLXC514/47G9G4cSTV/TxxOF9uOZzFh5WG2H8/SLJ8UGeH2jNWqnTsV+7vvNU5z+XxMPnx0/UfcXf9uAD7Z/AnPLX+OQkehxsmEEOXCYFbPYlJ0sHUKbJ+udaIL8vcy0btJNd7v14SVz1/Pyuev54N+jbm7VQxtagVplkuKjKgUAu9RS0DWnDkUndZuF+eV0uv0PNv8WV5t8yoGxcD8w/N5dvmzFDkrxjFoIUQZq94M2j2pXp79CJzYrW2eEqjm78nNjavxeu+G1A711SyHFBlRKXhecw3m+vVw2WxkTp2mdZwr1ieuD590+gSjzsjipMW8seYNOcwkRFXRcQTEdlDXYvr5brBla53ILUiREZWCoigE3n0PoM7067K77/T/baq1Yfy149EpOqbvm86UPVO0jiSEKA96A9z6DfhGQvpemDoYZCmTS5IiIyoNS88b0AcFUZSaSvbvv2sd56pcF30djzV9DIC3/3qbDWkbNE4khCgXPiHQ73swesH+RTCn4qySXVFJkRGVhs5kUheTBDK+rTiryl6pwQ0G0yNWnQH46WVPczKv4k8VLoQoBdWawW0TQdHDlh/V9ZicTq1TVVhSZESlEnBnPzAayd+0ifxt27WOc1UURWFU61HU9q9Nen46Ty97GrtTdjMLUSXU6XbuTKYNE2DWA1AkZzJeiBQZUakYQkKw9OgOuN8EeRfiZfTivY7v4W30ZuOJjXy48UOtIwkhykvjO6HPl+qema1T4NubKsyaTBWJFBlR6Zwd9Gud/xv2E+7/n76GXw3eaPsGABN3TOT3I+49/kcIcRkS+kL/KWD2g6TV8L92sFdmAP87KTKi0vFMaIhnkyZgt5P5009axykVnWM6M6jBIABeWvkSh7IOaRtICFF+4rrA0MUQUhdy0uDH22H2w1Cg3Wy6FYkUGVEpnZ0g7/RPU3DabBqnKR2PNX2MZmHNyLXn8siSR0jOSdY6khCivATHwf1LofXDgAKbvoNPWsKe+Von05wUGVEp+XbpgiEiAkdGBtZf52kdp1QYdAbGdRhHhHcER6xHuGveXcw/NJ+CogKtowkhyoPRE7q9CYPnQWAtyE6Byf1g2hDITdc6nWakyIhKSTEYCOh/JwAZ331XaWbHDfEK4dse31LbvzYn80/y7PJn6TClAw8vfpif9/wspUaIqiCmDTy4Eto+pp7VtH0afNICdv2idTJNSJERlVbAbbeheHhg27WL/PXrtY5TasK9w/nhhh94IPEBwr3DyS/KZ9mxZby+5nVunnUzezL2aB1RCFHWjJ7Q5TW4bzGENoC8UzDlLljyRpWbc0aKjKi09P7++N10E1A5Jsj7Oy+jF8MbD2fhrQuZ2msqjzV9jHDvcJJzkxm8YDBHrEe0jiiEKA/VmqpjZ1o9pH6+fBzMuK9KLW0gRUZUaoF33wVA9uLF2NPc/1Tsf1IUhbqBdbkv4T6m9ZpGQnAC2YXZPLH0CfLseVrHE0KUB4MJuo+G3p+BzgDbp6t7Z+xV41CzFBlRqZnj4tRTsZ1OrHMr9/FjP7Mf71/3PkEeQew7vY+3172tdSQhRHlq3B/6TQaDB+z9DWYMBadD61RlToqMqPT8evcGIGvWrEoz6PdiQr1CGdthLAoKM/bNYPGRxVpHEkKUpzpd1Qn09CbYNQd+farSLzopRUZUepYe3VFMJmz79lOwc6fWccpci4gWDG44GICRq0dyIq/yHVITQvyHmh3VpQ1Q1HWa1n2ldaIyJUVGVHp6iwWfTtcDkDVrtsZpysfDjR+mXmA9smxZPLH0CXLtuVpHEkKUpwa9oevr6uXfnoektZrGKUtSZESV4H/m8JJ13jxcjsp/zNioN/J2h7exmCxsPbmVfnP7MXPfTPad3ieDgIWoKlo/DA1uAWcRTB0E+ae1TlQmDFoHEKI8eLdujc5iwXHqFPkbN+LVvLnWkcpcrF8sX3T5gkeXPMph62FeWfVK8W3+Zn/iA+K5tc6tdKvRDZ0if9MIUekoCtz0MaRshYwDMP856POF1qlKnaY/vUaPHk3z5s3x9fUlNDSU3r17s2fP+ZN5paamcvfddxMeHo63tzdNmzZl+vTpGiUW7koxmfC97joArAsXaZym/DQIbsDM3jMZ3ng4CcEJ+Bp9Aci0ZbI2dS3PLn+Wu+fdzeGsw9oGFUKUDbMP3PK5OgPw1imwc47WiUqdpkVm2bJlDB8+nDVr1rBo0SLsdjtdu3YlN/fc8fx77rmHPXv2MGfOHLZt20afPn24/fbb2bRpk4bJhTvy7dYVgOxFi3BVoZkvLSYLDyQ+wI89f2RV/1WsunMV03pN46HEh/AyeLE1fSt3zL2D3w7/pnVUIURZiGoO7Z5QL897utKtmq1pkfntt98YNGgQDRo0IDExkYkTJ5KUlMSGDRuK77Nq1SoeeeQRWrRoQc2aNXnppZfw9/c/7z5ClIR327bovLwoSk2lYNs2reNoxtfkS3xgPA82fpA5vefQLKwZeUV5PLPsGcatG0eRs0jriEKI0nbtc+pCkzlp8MdordOUqgp1YDwrS22JgYGBxde1adOGKVOmkJGRgdPp5KeffqKgoICOHTte8DFsNhtWq/W8TQgAndmMz5nvG+uChdqGqSDCvMP4qutX3NvwXgC+3fkt9y+6n1P5pzROJoQoVQYz9HxHvfzX55Baef6YqzBFxul08vjjj9O2bVsaNmxYfP3PP/+M3W4nKCgIs9nMsGHDmDlzJrVr177g44wePRo/P7/iLSoqqrxegnADvl3PHF5auLDST45XUgadgSeaPcF7Hd/Dy+DFutR13DL7Fmbtr/wTCApRpdS6Hur3BpcTFr6kdZpSU2GKzPDhw9m+fTs//fTTede//PLLZGZm8vvvv7N+/XqefPJJbr/9drZd5NDAiBEjyMrKKt6OHj1aHvGFm/Dp0B7FwwP7sWPYdu/WOk6F0jmmM5N7TiYuII7TttO8vPJl7ph7B38k/SGFRojKostr6qy/B5fCgT+0TlMqKkSRefjhh5k7dy5//PEH1atXL77+wIEDfPzxx3zzzTd06tSJxMRERo4cyTXXXMMnn3xywccym81YLJbzNiHO0nl54d2uLaAO+hXnq+lfkyk3TuHJZk/iafBkV8YuHv3jUfr+0pfZ+2djr0Ir6gpRKQXEwDVD1Mu/j4JKcOKDpkXG5XLx8MMPM3PmTJYsWUJsbOx5t+flqRN36XTnx9Tr9TgrwZsvtGHp0gWA7EW/a5ykYjLqjAxuOJgFty5gSMMheBo82Xt6Ly+tfIlu07vx1bavyLJVrrMehKhSOjwNJl9I2Qw7Z2md5qppWmSGDx/O999/z48//oivry+pqamkpqaSn58PQN26dalduzbDhg3jr7/+4sCBA4wfP55FixbR+8xMrUJcLp+OHcFgwLZvH4VHjmgdp8IK8Ajg8WaPs6jvIh5r+hghniGczD/JBxs/oMu0Lry55k2SrElaxxRCXC7vYGjziHr5j7fcfoVsTYvMZ599RlZWFh07diQiIqJ4mzJlCgBGo5F58+YREhJCr169aNSoEd9++y2TJk3ihhtu0DK6cGN6Pz+8W6gz+2b/LntlLsXP7Md9Cfex4NYFvNnuTeoE1CG/KJ+f9vzEjTNv5PE/Hmdj2kYZRyOEO2n9EHj4w6l9sHuu1mmuiqZLFJTkB19cXJzM5CtKnU/nzuSuWk32wkUEDRmidRy3YNQbuanWTfSq2Yu1qWv5dse3rDi+gsVJi1mctJiE4ATuaXAPnaM7Y9DJ6idCVGhmX2g5DJa9DSvGQ72b1CUN3NBl/7S55ZZbUC7wYhVFwcPDg9q1a9O/f3/i4+NLJaAQZcG3U2fSXnud/C1bsKedwBgWqnUkt6EoCq0iWtEqohUHMg/w3c7v+OXAL2xL38Yzy54h0juSAfUG0CeuDz4mH63jCiEupuUDsOojSNkCBxZD7c5aJ7oil31oyc/PjyVLlrBx40YURUFRFDZt2sSSJUsoKipiypQpJCYmsnLlyrLIK0SpMIaF4pmYCEDOksUap3FftfxrMarNKBb0XcCDiQ8SYA4gOTeZcevH0WlqJ15d/So7T+3UOqYQ4kK8AqHZYPXyine1zXIVLrvIhIeH079/fw4ePMj06dOZPn06Bw4c4K677qJWrVrs2rWLgQMH8txzz5VFXiFKjW8X9a8PmeX36gV7BvNQ44dY2HchI1uPpKZfTfKK8pi2dxp3zL2DfnP7MW3vNPLseVpHFUL8XZuHQWeEIyvh+Eat01wRxXWZI/RCQkJYuXIlderUOe/6vXv30qZNG9LT09m2bRvt27cnMzOzNLNeEavVip+fH1lZWTKnTAU3e/xw6ny5hGNhCl2Wlf1f8YXHjnOgc2dQFGr/vghjtWpl/pxVhcvlYn3aeqbuncrvR37H7lTnn/E2enND7A30rNmTJqFN0CkVYiorIaq2GferK2Mn3gm3/E/rNMVK+vv7sn+KFBUVsfsCM6Lu3r0bh0M9hcvDw+OC42iEqEhM1avh1boVuFxkzpipdZxKRVEUmoc3Z2yHsfx+2+881ewpYiwx5Npzmbp3KoN+G0SXaV0Yu24sW09uxemSeaGE0EzLYerH7dMh54S2Wa7AZReZu+++myFDhvDee+/x559/8ueff/Lee+8xZMgQ7rnnHgCWLVtGgwYNSj2sEKXN/9a+AGTOnIHL4d5zKVRUgR6BDGo4iF96/8JXXb/i5lo342P04UTeCb7b+R0D5g3g+p+v56U/X2Lh4YVkF2ZrHVmIqqVaM6jeHByFsH6C1mku22UfWnI4HIwZM4aPP/6YtLQ0AMLCwnjkkUd47rnn0Ov1JCUlodPpzltuQCtyaMl9lPehJQCnzca+DtfizMqi2rvjscj8ROWi0FHIyuMrmX94PsuOLiOv6NzYGYNioFFII64Jv4Zrwq4hMSQRL6OXhmmFqAK2TYPpQ8AnDB7fDgaT1olK/Pv7sovMP58EqNAFQYqM+9CiyACc/PRT0j/8CFPNmtScPQvFaCy35xZgd9jZcGIDy48tZ8WxFRy2Hj7vdoNioEFwAxKCE6gfVJ8GQQ2IscSg1+m1CSxEZVRUCO8nQE4q9PkKGt2mdaLyKTLuQIqM+9CqyDiysznQpSuOzExCHn+c4AeGldtzi387aj3KurR1rEtdx/q09aTmpv7rPl4GL+oF1aN+UP3irYalhgweFuJqLBsLf7wJ1a6BodpPS1HS399XNP3mtGnT+Pnnn0lKSqKwsPC82zZudM/Tt0TVpff1JeyFESQ/+xwnP/oIj3p18bn2Wq1jVVlRliiiLFH0ieuDy+XieM5xNp3YxM5TO9lxage7M3aTV5THhrQNbEjbUPx13kZv6gbWLS42CcEJRPtGy4kHQpRUs0FqmTm+HpI3QWQTrROVyGUXmQ8//JAXX3yRQYMGMXv2bAYPHsyBAwdYt24dw4cPL4uMQpQ5S69e5K5cRdbs2Rwd/jChTz5J4D13oxhkqn0tKYpCdd/qVPetTq9avQBwOB0cyjrE9lPb2XlqJztP7WRPxh5y7bn/KjcWk4WE4AQSQhKID4gn3DucMK8wAj0C5dCUEP/kEwoNesO2qfDXV9D7E60TlchlH1qqW7cuI0eO5M4778TX15ctW7ZQs2ZNXnnlFTIyMvj444/LKusVkUNL7kOrQ0tnuQoLSX7+eazz5gNgjosj7IUReLduXe5ZxOUpchZxMOtgcbHZcWoHu0/tptBZeMH76xQd/mZ/gjyDCPQIJMgjiCDPICK8I4j0jiTSR90sJovs0RFVy9G/4OsuoDfDU7vV2X81UmaHlpKSkmjTpg0Anp6eZGerp0refffdtGrVqsIVGSFKSjGZiBw/Hq/WrTk5/l1s+/aRNPheLD17Ev7qq+h9vLWOKC7CoDNQJ6AOdQLq0Lt2b0AdRLw3cy/bTm5jW/o2DlsPk5qbSnp+Ok6Xk4yCDDIKMv7zcX2MPsWlJtgzGD+TH37mM5vJD4vZgrfRG72iR6fo0CvqXh4XLpwuZ/H8OCa9CW+jN14GL7yMXsVjeewOOym5KRy2HuZQ1iEOZR3iiPUI2YXZuHBh1Bnx9/AnyCOIAHMAgZ6BBJgDigtYgEcAgR6BeBo8y+7NFVVL9eYQ3ghSt8LGb6Hd41onuqTLLjLh4eFkZGQQExNDdHQ0a9asITExkUOHDpVoNWshKjJFUQi47TYsXbpw8uNPOD15MtZff6Vgz26iv/4aY1iY1hFFCRn1RhoENaBBUAP60a/4+iJnEacLTnOq4BQZ+RmcKjjFqfxTpOenk5KbQkpuCsdzjpNRkEGOPYe9p/ey9/TeUs3mafDEpDdhtVlxcfU/Nz0NngR6BJ5Xbv6+BXgEqM+pM2HSmzDqjKCoMzCfLVxny1fxdTgveHvxfVAvFzmLyC/KJ68ojzx7HnpFj7fRG3+zP5E+kVT3rY63Uf4IcBuKAi3uhzkPw/qvoc0jUMEPw152kbn++uuZM2cOTZo0YfDgwTzxxBNMmzaN9evX06dPn7LIKES50/v7E/7Si1h63sDxxx6ncP8BkgbfS42fJqOXQ5RuzaAzEOIVQohXyH/eL8+eR2puKsdzjpOck0yGLQOrzUqWLYuswiz1cmEWufbc4l/wDpc6qaIOnbqoLurCujaHjTx7XvHt+UX55BflA2DWm4mxxFDDUoMafjWI9YslwByAgkKhs5DTBac5bTtNRn6G+vHMnqSMggwy8jModBaSX5TP8ZzjHM85XrZv3hUKMAcQ6xdLrF8sNf1qUtO/JjX9ahLuHV5qZ5qtSVnDdzu/Y8vJLeTZ8wj0CKReUD2uCbuGxqGNqRdYD5Ne+7lR3ELDW2HhS5CZBPsWQnwPrRP9p8seI+N0OnE6nRjODIL86aefWLVqFXFxcQwbNgyTqWJ9o8gYGfeh9RiZi7EfP87hAXdRlJqKb5cuVPvwAxk3IS6by+Wi0FlIrj2XPHse+UX5xXtMrvT7yeVykVeUV7xn6XTBP4rOme10wWlsDhuFjkIKnYXFa1+dLVw6RXf+ZUWHwt8uK8pFb9fr9HgaPIs3p8tJnj2PjIIMjuccJ9OWedH8ngZPalhqFBebs1uUJUrda1QCOYU5vLLqFRYdWfSf9zPqjMQHxFM7oDa1/WsT5x9HLf9ahHqFyv/nC1n4Eqz6CGp1grtnaBJB5pE5Q4qM+6ioRQYgf9s2DvcfAHY71T76EEuXLlpHEsIt5BTmkJSdxKGsQxzMOqh+zDzIkewjFDmLLvg1Rp2RjlEd6RPXh7aRbS9aNA5lHeKxPx7jUNYhDIqB2+Nv5+baN+Nv9ictL40tJ7awIW0DW05u4bTt9AUfw9fkS21/tdw0CW1Ch+od8DP7ldrrd1sZh+DDJoALHt4AwbXLPUKpF5mkpKQSPXF0dHTJEpYTKTLuoyIXGYAT77/Pqf99jrF6dWrNnyczAAtxFexOO8eyj51Xbs5e/vuSFXUC6nB/o/vpHN35vFPmfz/yOy+vfJkcew6hXqF8cN0HNAxueMHncrlcHM0+yq6MXRzIPMD+zP3sz9xPkjWp+HDfWXpFT9OwpvSM7Um3Gt3wMfmUzRvgDn68A/b+Bo3v0uRU7FIvMnr9uW+gs1/y95bscrlQFKV4BeyKQoqM+6joRcaZl8f+Ll1xnDpF5Ni38bvpJq0jCVHpuFwu9p7ey4x9M5i1f1ZxqYn1i+X2OrcT5BnEkqQl/Hb4NwCahjZlfMfxBHsGX/ZzFToKOZR1iP2Z+9lzeg9/Hv+Tfaf3Fd/uafCkS0wX+sX3IyEkoXReoDs5ug6+7gyKHh5ZD4E1y/XpS73IGAwGqlevzqBBg+jVq1fxGJl/SkxMvLLEZUSKjPuo6EUGIP1/n3Py/fcx161L7MwZcmxdiDKUZcvih10/8P2u7/+1KrqCwqAGg3ik6SMlHk9TEkezj7LoyCJm7Z/FoaxDxde3imjF0IShNA9vXrX+339/K+z/HRJug1u/KtenLvUik5qayqRJk5gwYQKZmZncddddDBkyhHr16pVa6LIgRcZ9uEORcWRmsq/DtbgKC6kxfRqeDRpoHUmISi+nMIcZ+2awJmUNufZcavvX5rb426gbWLfMntPlcrHl5Bam7p3Krwd/LT4E1a5aO55v8Twxlpgye+4KJXkTfHEd4IK7pkPtzuX21GU62PfPP/9kwoQJTJ06lfr16zNkyBCGDBmCTlfxFmyTIuM+3KHIABx/8kms8+YTcNddhL/0otZxhBBlLDknmQnbJzBt3zSKnEUYdAbub3Q/QxOGYtBVgWVM5j0Lf30OHv4w8BeIaFQuT1suZy2lpaVx5513smzZMk6ePElgoHZTGV+MFBn34S5FJmfFCo4OvR+9nx+1VyxHV8GmHBBClI3DWYcZs24MK4+vBKBxSGPeav8WUb5RGicrY/Z8mNQLjq1Tly5o0Bv8oqAgE6zJkHUMrn8Z6nQt1act6e/vK9qFsmrVKu677z7q1KlDTk4On3zyCf7+/leaVQi34t2mDYbQUBxZWeSuWKF1HCFEOanhV4PPOn3G6Paj8TH6sPnkZu6YewerkldpHa1sGT2h/88Q1w0cNtg6BVa8A+u+gj3z1OUMMg5qFq/E+8RSUlL49ttvmTBhAqdPn2bAgAGsXLmShg0vfLqbEJWVotdj6dGDjEmTsM6bj2+nTlpHEkKUE0VRuLHmjTQJbcKzy59l68mtPPT7QzzT/BkG1Bugdbyy4xUI/adA0mo4sATyM8HDDywRYKleboebLqTERSY6Oppq1aoxcOBAbrrpJoxGI06nk61bt553v0aNtHsxQpQXS88byJg0iew//sCZn4/OUxbtE6IqqeZTjQndJvDq6leZc2AOY/4aw8m8kzzW9LHKe1aTokBMG3WrQEpcZBwOB0lJSbz++uu88cYbAP9aJLIiziMjRFnwSEjAWL069mPHyFm2DEv37lpHEkKUM5PexBtt36CmX03e3/g+X2//mhx7Di+0fKHU1pASl1biInPo0KFL30mIKkJRFCw9unPqy6+wzpsvRUaIKkpRFIYkDMFitvD66teZsmcKTpeTl1u9XHn3zFQwJS4yMTFV5Jx5IUrI0qMHp778ipxly3Dk5KL38dY6khBCI7fVuQ1PgycvrHiBqXunYjFZeLzZ41rHqhJk35cQV8hcrx6mGjVw2Wzk/LFE6zhCCI3dWPNGRrYeCcDX279m4vaJ2gaqIqTICHGFFEXBckMPAKy/ztM4jRCiIri1zq081ewpAN7d8C5Ljy7VNE9VIEVGiKtg6aEWmZyVK3FkZWmcRghREQxqOIg74u/AhYvnlj/H/tP7tY5UqUmREeIqmOPiMMfFgd1O9u+LtY4jhKggnmvxHM3Dm5NXlMejfzxKTmGO1pEqrasuMoWFheTkyD+QqLqKDy/Nk8NLQgiVUWdk/LXjifCO4Gj2UV5f8/q/piwRpeOyisyECRN45JFH+OGHHwAYMWIEvr6++Pn50aVLF06dOlUmIYWoyM4eXspds4aijAyN0wghKooAjwDGdhiLXtEz79A8fjn4i9aRKqUSF5k333yT4cOHs3v3bh599FEefPBBJk6cyGuvvcaYMWPYvXs3L730UllmFaJCMtWogUeDBuBwcPr777WOI4SoQBqHNubBxAcBeGPNGxy1HtU4UeVT4iIzceJEvv76axYtWsSCBQv44osv+Pjjj3nuued45pln+OKLL5gnu9ZFFRV0//0AZEychD3thMZphBAVyX0J99EsrBn5RfmMXD0Sp8updaRKpcRFJikpiXbt2gFwzTXXYDAYzlswslGjRqSkpJR+QiHcgG/XLng0aoQzL4+Ul1/C5ZQfVEIIlV6n5/U2r+Np8GRd6jqm7Z2mdaRKpcRFxm63Yzabiz83mUwYjcbizw0Gg6yzJKosRVGIfPMNFJOJ3OUrOPH22zKwTwhRLMoSxaNNHgVg/PrxJOcka5yo8riswb47d+5k69atbN26FZfLxe7du4s/37FjR1llFMItmOPiiHhTXVA1Y9K3nPr8C40TCSEqkv71+tMktAl5RXm8uvpV+WOnlJR4rSWATp06nffG33jjjYD616jL5ZIFskSV59erF0Xppzjx9tucfP99dL4+BA4YoHUsIUQFoFN0vNbmNfr+0pdVyauYtX8Wt8TdonUstyerXwtRyoIGD8KZnU36p5+S9tZoPOrVx6tpE61jCSEqgBp+NRjeeDjvbniXcevH0a5aO0K8QrSO5dZKfGgpJibmklt2dnZZZhXCbQQ/8jCWG24Ah4OUF1/EVViodSQhRAVxd/27qR9Un+zCbN5c+6YcYrpKVz2zb3Z2Nl988QUtWrQgMTGxNDIJ4fYURSF81Ej0QUEUHjpExncyv4wQQmXQGXitzWsYFAOLkxaz6MgirSO5tSsuMsuXL2fgwIFERETwzjvvcP3117NmzZrSzCaEW9NbLIQ++SQA6Z98QtHp0xonEkJUFPGB8QxJGALAm2vfJMsmi85eqcsqMqmpqYwZM4a4uDhuu+02LBYLNpuNWbNmMWbMGJo3b15WOYVwS3639MZcvx7OvDwyJk7SOo4QogK5v9H91PSrSUZBBmPXjdU6jtsqcZHp1asX8fHxbN26lffff5/k5GQ++uijsswmhNtTdDpCHnoIgNPff48jM1PbQEKICsOkN/Fqm1dRUJhzYA4rj6/UOpJbKnGRmT9/PkOGDOHVV1+lZ8+e6PX6sswlRKXhc/31mOPjcebmkvHtt1rHEUJUII1DGzOgnjpFw8hVI8ksyNQ2kBsqcZH5888/yc7OplmzZrRs2ZKPP/6Y9PT0sswmRKWg6HQEn9krk/HtdzisVo0TCSEqkkeaPEKMJYa0vDRe+PMFWYvpMpW4yLRq1Yovv/ySlJQUhg0bxk8//URkZCROp5NFixbJqddC/AffLp0xx9XGmZPD6R9+0DqOEKIC8TJ6Mf7a8Zj1ZlYcX8GXW7/UOpJbueyzlry9vbn33nv5888/2bZtG0899RRjxowhNDSUm266qSwyCuH2FJ2OoGEPAOoK2Y6cXI0TCSEqkvjAeJ5v8TwAH2/+mJn7ZmqcyH1c1Twy8fHxjB07lmPHjjF58uTL/vrPPvuMRo0aYbFYsFgstG7dmvnz5xffXlBQwPDhwwkKCsLHx4dbb72VtLS0q4kshGYsPbpjqlEDR1YWmT9d/v8XIUTl1rdOXwY3GAyo42W+2/mdxoncw1VPiAeg1+vp3bs3c+bMuayvq169OmPGjGHDhg2sX7+e66+/nptvvrl4AconnniCX375halTp7Js2TKSk5Pp06dPaUQWotwpej1Bw4YBcGrCRJy5sldGCHG+J5o9Qb/4frhwMXbdWJ5c+iQn8k5oHatCU1wVbG7kwMBAxo0bR9++fQkJCeHHH3+kb9++AOzevZt69eqxevVqWrVqdcGvt9ls2Gy24s+tVitRUVFkZWVhsVjK5TWIKzN7/HDqfLmEY2EKXZbt1DpOmXAVFXGgZ0/sR5IIGjaM0Cce1zqSEKKCcblcfLvzW97f8D5FriJMOhM31b6JG2JvoGloU/S6qnHWsNVqxc/P75K/v0tlj0xpcDgc/PTTT+Tm5tK6dWs2bNiA3W6nc+fOxfepW7cu0dHRrF69+qKPM3r0aPz8/Iq3qKio8ogvRIkoBgNhzz4LQMaECRQePapxIiFERaMoCgMbDGTyjZNpHNKYQmch0/ZO494F99JmchsG/zaY8evHM/fgXPaf3k+Rs0jryJoq8erXZWXbtm20bt2agoICfHx8mDlzJvXr12fz5s2YTCb8/f3Pu39YWBipqakXfbwRI0bw5Jlp4eHcHhkhKgqf66/Hu01rcletJuWll4me8A2KrsL8TSGEqCDqBtbl2x7fsj5tPb8c+IXFSYuxFlpZn7ae9Wnri+9n0pmIC4ijZURLOkd3pmFwQxRF0TB5+dK8yMTHx7N582aysrKYNm0aAwcOZNmyZVf8eGazGbPZXIoJhShdiqIQPnIkB3vfQt7atZz+7jsCBw7UOpYQogJSFIXm4c1pHt6cka1HcjDrINvTt7Pz1E72nN7Dnow95BXlsePUDnac2sE327+hQVAD7ku4j07RnapEodG8yJhMJmrXrg1As2bNWLduHR988AF33HEHhYWFZGZmnrdXJi0tjfDwcI3SClE6TDExhD37DKmvvkbauHcw16uHd4sWWscSQlRgep2euIA44gLiuCXuFgCcLifHs4+zNX0rS48uZenRpew4tYMnlj5B64jWvNrmVSJ8IjTNXdYq3P5sp9OJzWajWbNmGI1GFi9eXHzbnj17SEpKonXr1homFKJ0+Pfrh+WGHlBUxPFHH5PxMkKIy6ZTdERZouhZsyfjrh3Hgr4LGJowFLPezOqU1fT7tR+bTmzSOmaZ0rTIjBgxguXLl3P48GG2bdvGiBEjWLp0KQMGDMDPz48hQ4bw5JNP8scff7BhwwYGDx5M69atL3rGkhDuRFEUIt58E48GDXBkZpJ07xDs/zH+SwghLiXQI5BHmz7K9JumUy+wHhkFGQxdOJR1qeu0jlZmNC0yJ06c4J577iE+Pp5OnTqxbt06FixYQJcuXQB47733uPHGG7n11lvp0KED4eHhzJgxQ8vIQpQqnacn1T/9BGNUFPajRzkycCD2NJkzQghxdWIsMUzsPpH21dpjc9gYvng4O07t0DpWmahw88iUtpKehy60VxXmkbkYe3IyR+6+B/vx45hiY4n57lsMwcFaxxJCuDmbw8bDix9mTcoaIrwjmHLjFAI8ArSOVSJuN4+MEFWZMTKS6EmTMERGUHjoEEn3DcWRlaV1LCGEmzPrzYzvOJ5o32hSclN48c8XqWz7L6TICFFBmKpXI2bCBPTBwdh27+bosAdwFhRoHUsI4eYsJgvvXfceRp2RFcdX8MvBX7SOVKqkyAhRgZhiYoj++it0Fgv5mzeTOnJUpfvrSQhR/uoE1OGhxg8B8PZfb5NZkKltoFIkRUaICsYjPp7qH7wPOh1Zs2dz+rvvtY4khKgEBjUYRJ2AOlgLrXy+9XOt45QaKTJCVEDerVsT+uwzAKSNHUv+tm0aJxJCuDuDzsDT1zwNwE+7f+KI9YjGiUqHFBkhKqjAgQPx7dZNnTDvqadx5ORqHUkI4eZaR7amXbV2FLmK+GLrF1rHKRVSZISooBRFIeK1VzFERmBPSiLt9de0jiSEqAQeSlTHysw7OI+UnBSN01w9KTJCVGB6Pz+qjRt3ZrzMHLJ+qVxnGwghyl9CSAItw1tS5Cpi4o6JWse5alJkhKjgvJo1I/gh9S+o1FGvUpiUpHEiIYS7uzfhXgBm7Z9Frt29D1tLkRHCDQQ/MAzPZs1w5uZy7PHHcdpsWkcSQrix1hGtqWGpQV5RHr8e/FXrOFdFiowQbkAxGKj2zjj0AQHYdu4i9fXXtY4khHBjiqJwe/ztAEzZM8Wt56uSIiOEmzBGRFBt/DvqeJlp0zn9889aRxJCuLGbat2Eh96Dvaf3suXkFq3jXDEpMkK4Ee82bQh59FEAUl99DeuChRonEkK4Kz+zH91juwMwde9UjdNcOSkyQriZoPuH4nfLLeBwcPzJJ8n47nu33i0shNDOrXG3ArDoyCLy7Hkap7kyUmSEcDOKTkfEG6/j17s3OBykvfkmKc8/jzPPPX8ICSG0kxiSSJRvFPlF+SxOWqx1nCsiRUYIN6To9USMfovQ558DvZ6s2XM4dPvt2Pbv1zqaEMKNKIpCr5q9AJh7cK7Gaa6MFBkh3JSiKAQNGkT0hG8whIRQuP8Ah267ndzVq7WOJoRwIzfWuhGANSlrSMtN0zjN5ZMiI4Sb827RgtiZM/Bq2RJXfj5HH3iQ3FWrtI4lhHATUb5RNA1titPlZN6heVrHuWxSZISoBAzBwUR9+QU+HTvistk4Ovxh8jZt0jqWEMJN9KqlHl6ac2CO2508IEVGiEpCZzJR/cMP8G7bVt0zM+wBCvbs0TqWEMINdK3RFZPOxP7M/ezO2K11nMsiRUaISkQxmaj+0Yd4NmmC02olach9FB45onUsIUQFZzFZuC76OkDdK+NOpMgIUcnovLyI+vx/mOvWxZGeTtLge7EnJ2sdSwhRwd1c62YAfj34K3aHXeM0JSdFRohKSG+xEP3Vl5hiYrAnJ3Polj5kzZ6Ny+HQOpoQooJqHdmaEM8QTttOs/z4cq3jlJgUGSEqKUNwMNETvsGjfn0cWVkkP/c8B3veSOa0abJ6thDiXww6Q/Gp2LP2z9I2zGWQIiNEJWaMjKTGlJ8IeeIJdH5+FB4+TMpLL7O/U2dOfvopjpwcrSMKISqQs4eXVhxbQXp+usZpSkaKjBCVnGI0EjzsfmovXkzoM89gCA/HkZ5O+ocfcbDnjWT//rvWEYUQFUQt/1okBCfgcDmYd9A95pSRIiNEFaH38SZoyL3UXrSQyHFjMUZFUZSWxrGHH+H4M8/isFq1jiiEqAB61+4NwKwDs9xiThkpMkJUMYrRiF+vXtT8ZQ5BQ4eCTof1l184eNPNsryBEIJuNbph1pvZd3ofm05U/Ik1pcgIUUXpPDwIfepJavz4A8aYaIpSU0kafC+pb76Fs6BA63hCXBFnQQG2g4ewJyfjKizUOo5b8jP7cWNNddDv97u+1zjNpRm0DiCE0JZn48bUnDmTtHHjyJz8E6e/+47clSuJfPttPBMaah1PiBKxp6Vx4p3xZC9ciOvsWXkGA+aaNTHXjccjvq76sW5dDEFB2oZ1A/3r9Wf6vuksTlpMck4ykT6RWke6KCkyQgh0Xl5EjByJ7/XXk/LCixQePMjhfv0IGNCf4KFDMYSEaB1RiIvK37aNo0Pvx5GZCajfzy67HZfdjm3vXmx792Lll+L76/z8MEZGYoyMxFQjBs/GjfFq0gRDcLBGr6DiqRNQh5YRLVmbspYvt33JyNYjtY50UVJkhBDFfNq3J3bObFJfe43s+b9x+tvvyPx5KgF33kng4EEYQ0O1jijEeWyHDpE05D6cVivm+vWIGDUKj4QEAIpSUynYvRvbnj0U7NqNbfduCpOScGZlYcvKwrZr13mP5dm4Mb7du2Hp3h1jeLgWL6dCeSjxIdamrGXmvpkMrD+QGn41tI50QYrLHYYkXwWr1Yqfnx9ZWVlYLBat44j/MHv8cOp8uYRjYQpdlu3UOk6V5nK5yF21ipMffkjBlq2AOkjYclMvgu69F3OtWhonFAIcWVkcvqMfhYcP49m4MdFff4XO2/s/v8aZl0fhsWPYk5OxJydj27OX/E2bsO3de+5OOh0+111HQP878W7TBkVRyviVVFwPL36YZceW0aF6Bz6+/uNyfS9K+vtbioyoMKTIVDwul4vc5ctJ//wL8jduLL7e57rrCLpvCJ5Nm1bpH/LiwlwuF86cHJxWKw6rFUeWFWdeLq5Ce/EhH1dh4bnLjiIUvQHFaMQYEY6pZk1MsbH/+b3lsttJuv9+8lavwRAZQezUqVc19sWedoLshQux/vYb+Rs2FF9vjo8n5NFH8Ln++ir5vb7/9H5un3s7dqedp695moENBv7rPi6XCxcudErpnj8kReYMKTLuQ4pMxZa3cROnvvmanMVL4MyPDc/ERAKH3Itvp04oer3GCUV5c9nt2A4eomDXTmy7dmE7fBj78ePYjyfjys+/qsc2Rkbid8stBA68B/0/fna7XC5SXxlJ5tSpKF5e1PjxBzzq1r2q5/s724EDnP5xMlmzZuHMzQXAo2FDwl4YgVfTpqX2PO7i2x3fMm79OABujbuVTtGdyC3KZW/GXnZl7GLXqV280e4N2lVrV6rPK0XmDCky7kOKjHuwHTxExsSJZM2aVXx6qzE6moB+/fDvcwt6f39tA4oy4SoqwnbgAAXbtpG/bTsFO3Zg27v3P09xVkwmdH4W9BY/dN7eKCYjivHMZjKdu6w34HIU4SqwqYd79u/HdWYKAJ2fH0GDBxFw113ofXxwOZ2cfO99Tn35JSgK1T/6EN/OncvkNTsyMzk1YSIZ332HKy8PAP877iD0qSf/Va4qM5fLxUebPuLLbV9e9D6PNnmUoY2GlurzSpE5Q4qM+5Ai416K0tPJ+P57Tk/+CWdWFgCKhweWnjcQ0L8/ng0aaJxQXCmXy4X96FHyt22jYOs28rdvp2DnzgvuZdF5e+NRrx7m+vUw16qNsXo1TNWrYwgLQ+fhcUXP7ywoIHvxYtI/+4zC/QfU57FY8G7dmsKjSdh2qoN0w0eNJKBfvyt/oSVUlJHByffeI3PqNEDdW1Ttgw+q3PQE61LX8fOenzmYdRAPgwdx/nHUDaxLvaB61Amog6fBs1SfT4rMGVJk3IcUGffkzMsja+5cTv84Gdvu3cXXeyYm4n/HHVi6db3kAEyhPdvBQ+T+uYLcVavJ37QJx5ly+nc6b288GjbEM6EhHg0b4lGvHsaoKBRd2cyt6nI4sM6bT/qnn1J46FDx9YrZTNhLLxJw221l8rwXk/vXX6S8+BL2o0dRjEbCXnyRgH53lGuGqkSKzBlSZNyHFBn35nK5yN+0idM//Ih14UKw2wFQvLywdOuGX+/eeDW/psx+6YnL58zNxTp/Pqd/nkrB1q3n3aYYjZjr1cOzYUM8EhLwbJSgDsDV4N/P5XCQt249Bbt2ofP2wve66zSb28hhtZL8wgvk/L4YgKCh9xHy5JNVciBwWZMic4YUGfchRabyKEpPJ3PadLJmzqTwyJHi643VqmG54QZ8O12PR6NGUmo0oBbOzWTNnIl13rziwawYDHi3aIF32zZ4tWiBOT4encmkbdgKyuVycerzzzn5/gcA+N18ExFvvIFiNGqcrHIp6e9vmRBPCFHqDMHBBD8wjKBh95/7pTl/Pvbjxzn15Zec+vJL9CHB+HbsiFerVng1by6T7V0ll9OJMy8fZ24OzuxsHNZsnDnZOLKzcWbn4Mi2UnjgIHnr1mE/frz460wxMfjf1he/3r1lZtsSUhSF4AcewBAaRsrLL5M1ew4uexGR48bK2XsakCIjhCgziqLg1bQJXk2bEPbCCLKXLCFn8WJyli3HcTKdzKnTigdQmmJi8Gx+jXooo25dzHXqoPPy0vgVlA+X3U7h4cMU7FGn07ft2YM9ORn4+w5zBZQzm06Hy16IKy8fZ34+zry8c+sLlYDi6ake7rvlFrxaNJfDIlfo7Fl6xx57DOu8eSgmExFvvSl7GsuZFBkhRLnQeXri17Mnfj174iosJPevdeSuWE7uunXYdu2m8MgRCo8cIWvadPULFAVTdDTGGjGYqlXDWK0axogI9IGB6AMCMQQGoA8IQDFUzB9jjpxcik6ewJGeru4Vyc1VJ4nLzcWRk4MzJxdHZia2/fspPHAA15kxRVdNr0fv44PO1xedxRe9jy86X1/0vr4YwsPwatYMr6ZNZQB2KfG9/jqqjX+H4088SdasWeh8fQl/8QWtY1UpFfMngBCiUlNMJnzatcWnXVtAHUCZt2ED+Rs3UbB7NwW7d+E4mV5cbnL/47F0fn4YAtRSo/f3R+/np24Bf7vs74/Ozw+9n7962durxHshXEVFuGw2nIWFuAoK1FKSk4szJxtnTo5aSqxW7Mkp6mRwyeqEcM4z846UlM7LC3OdOuoWXwdTTA0Ugx5QAJc6CaHLhcvlAqcLxWhE5+WJztMTxdPr3GUPD9nDUs4sXbviGjOG5Gee4fR332GKiSHwrgFax6oypMgIITSnt1jwve46fK+7rvi6opMnKdi7t3imWPvx4xSlplJ0+jSOjAx1pWOXC2dWFoVZWXD4cMmf0GhE5+kJioIC5w7ZnN2KitTiYrOB03nFr0vn5YU+JFgtUD7e6Ly90Xn7qB99fND7+mCqWRNznToYIyPlkIQb8+t1I/aUFE6++y5pb72FsXo1fDt21DpWlSBFRghRIRlCQvD5j1NsXQ4HjqwsHBkZFJ1Si40jK1O9LvPcR2dm1rnrMjPVQzh2O84rOZRjNJ47bOPjrR62OVNIDOERGKtFYoyshjEyEmNYqBy+qWKCht5HYZJ6eDT56WeInTEdU3S01rEqPSkyQgi3pOj1GAIDMQQGYq5dsq9xuVy48vNxZGXhzM8vPlxz5kb1sI0LFKNBnULfZEJnMqGYzernckaK+A+KohAxciSFBw6Sv2kTxx5/nBqTJ6Mzm7WOVqlJkRFCVBmKoqB4eVWZs6FE+VOMRqq99y6HbumDbecu0t4aTcSro7SOVanJAVkhhBCiFBnDw4kcNw4UhcwpU8heskTrSJWaFBkhhBCilPm0a0vg4MEApLwykqLTpzVOVHlpWmQ+++wzGjVqhMViwWKx0Lp1a+bPnw9ARkYGjzzyCPHx8Xh6ehIdHc2jjz5K1gUWMhNCCCEqmpDHHsVUqxaO9HTSXn9D6ziVlqZFpnr16owZM4YNGzawfv16rr/+em6++WZ27NhBcnIyycnJvPPOO2zfvp2JEyfy22+/MWTIEC0jCyGEECWiM5uJHDMa9Hqs8+aR/fvvWkeqlCrcopGBgYGMGzfugoVl6tSp3HXXXeTm5mIo4Wyesmik+5BFI4UQldGJd9/j1BdfYIiMoNbcuTLYvIRK+vu7woyRcTgc/PTTT+Tm5tK6desL3ufsi/mvEmOz2bBaredtQgghhFaCH3wAY2QkRckppP/vc63jVDqaF5lt27bh4+OD2WzmgQceYObMmdSvX/9f90tPT+f111/n/vvv/8/HGz16NH5+fsVbVFRUWUUXQgghLknn6UnYSy8CcGrCBGwHD2qcqHLRvMjEx8ezefNm1q5dy4MPPsjAgQPZufP8wwpWq5WePXtSv359Ro0a9Z+PN2LECLKysoq3o0ePlmF6IYQQ4tJ8r78en44dwW4n9bXXqWCjOtya5kXGZDJRu3ZtmjVrxujRo0lMTOSDDz4ovj07O5vu3bvj6+vLzJkzMRqN//l4ZrO5+Cyos5sQQgihtbCXXkQxm8lbs4bshYu0jlNpaF5k/snpdGKz2QB1T0zXrl0xmUzMmTMHDw8PjdMJIYQQV8ZUvTpBZ05kOfH22zgLCjROVDloWmRGjBjB8uXLOXz4MNu2bWPEiBEsXbqUAQMGFJeY3Nxcvv76a6xWK6mpqaSmpuJwOLSMLYQQQlyRoKH3YQgPx56cTMaECVrHqRQ0LTInTpzgnnvuIT4+nk6dOrFu3ToWLFhAly5d2LhxI2vXrmXbtm3Url2biIiI4k3GvQghhHBHOk9PQp95GoD0L77EnpqqcSL3p+mikV9//fVFb+vYsaMMhhJCCFHpWG64gdM/TiZ/wwZOvDOeau+M0zqSW6twY2SEEEKIykxRFMJffAEUBevcueRt3Kh1JLcmRUYIIYQoZx716+Pfty8AaW+8icvp1DiR+5IiI4QQQmgg5PHH0Pn6UrBzJ1kzZmgdx21JkRFCCCE0YAgKInj4QwCceO99HNnZGidyT1JkhBBCCI0E9u+PKTYWx6lTpH/6mdZx3JIUGSGEEEIjislE2AsjAMj47jtsBw9pnMj9SJERQgghNOTTvj0+114LRUWkvT1G6zhuR4qMEEIIobHQ558Do5HcZcvJmjNH6zhuRYqMEEIIoTFzbCzBw4YBkPLKSAp27dI4kfuQIiOEEEJUAMEPPoB3u3a4CgpIGnwv+Tt2aB3JLUiREUIIISoARa+n2vh38EhIwJGZyZH+Azj19TeySvYlSJERQgghKgi9nx/RE75R98zYbJwYN47913Yk+bnnyPjue7KXLsW2bx+OzExZj/AMTReNFEIIIcT59D4+RH35BVnTp5P+2f+wHz9O1uw5ZM0+fxCwYjJhCA5GHxKMISQEQ0gIxrBwvFq0wDOxEYper9ErKF9SZIQQQogKRlEU/Pv2xe+WW8hbt47ctWsp3L+fwqPHsKek4MzKwlVYiD05GXty8r++3litGoEDBxJwZz8Uo1GDV1B+pMgIIYQQFZSi1+PdqhXerVqdd73TZqPoZDpFJ09QlJ5O0cmTFJ08SeGhw+SuXIn9+HHS3nqLzOnTqfbOOMxxcRq9grInRUYIIYRwMzqzGVP1apiqV/vXbc6CArJmzuTk+x9g27OHw3f2p/pHH+LdurUGScueDPYVQgghKhGdhwcBd95JzXm/4nlNM5w5ORx94EHyNm3SOlqZkCIjhBBCVEKGoCCiv/4a72s74LLZOPbgQxQeO651rFInRUYIIYSopHRmM9Xfew+Phg1xZGaS/PxzuBwOrWOVKikyQgghRCWm8/Ki2nvvovP2Jn/9BjImTtI6UqmSIiOEEEJUcqaoKMJeGAFA+iefUHTypMaJSo8UGSGEEKIK8LvlFjwaNcKZl8fJDz/UOk6pkSIjhBBCVAGKTkfYiOcByJw+g8KjRzVOVDqkyAghhBBVhFeTJni3bw9OJxkTJmgdp1RIkRFCCCGqkKAhQwB1r0zRqVMap7l6UmSEEEKIKsSrZQs8GjbEZbOROW261nGumhQZIYQQogpRFIWAO+8EIHPaNFxOp8aJro4UGSGEEKKKsfTojs7HB/vRo+T99ZfWca6KFBkhhBCiitF5eWG5sSeA2x9ekiIjhBBCVEH+ffoAkL14Mc68PI3TXDkpMkIIIUQV5JGQgDEqCld+Ptl//KF1nCsmRUYIIYSoghRFwXLDDQBY583XOM2VkyIjhBBCVFGWnmqRyV2+HIfVqnGaKyNFRgghhKiiPOrUwRwXh8tuJ3vRIq3jXBEpMkIIIUQVdnavjHX+bxonuTJSZIQQQogqzLdbNwBy16yh6PRpjdNcPikyQgghRBVmjo3FXLcuFBWRs3ix1nEumxQZIYQQooqzdO8OuOfhJSkyQgghRBVn6e6+h5ekyAghhBBVnKlGDcz16oHDQfbvv2sd57JIkRFCCCFE8eGl7N8WaJzk8kiREUIIIYTbHl6SIiOEEEIITDExmOufObzkRpPjSZERQgghBACW7j0A9zq8JEVGCCGEEMDfDi+tXUtRerrGaUpGiowQQgghADBFR+OR2AgcDrJmz9Y6TolIkRFCCCFEMf++fQHInDoNl8ulcZpLkyIjhBBCiGJ+N9yAzsuLwsOHyVu3Tus4lyRFRgghhBDFdN7eWHr2BCBj0rcap7k0KTJCCCGEOE/g4EGgKOQsXkzB3r1ax/lPUmSEEEIIcR5zzZr4du4MwKkvvtQ4zX/TtMh89tlnNGrUCIvFgsVioXXr1syfP/9f93O5XPTo0QNFUZg1a1b5BxVCCCGqmKAHhgFgnTuXvE2bNE5zcZoWmerVqzNmzBg2bNjA+vXruf7667n55pvZsWPHefd7//33URRFo5RCCCFE1ePZoAF+ffoAkPLCizhycjROdGGaFplevXpxww03EBcXR506dXjzzTfx8fFhzZo1xffZvHkz48eP55tvvtEwqRBCCFH1hD79FIawMAoPHeLosAewp6QA4LLbKdi1i9NTp5Ly6qsU7NFuHI1Bs2f+B4fDwdSpU8nNzaV169YA5OXl0b9/fz755BPCw8NL9Dg2mw2bzVb8udVqLZO8QgghRGVnCAyk+kcfkjTkPvI3bGB/p84YwsNwZJzGVVBQfD9zXBwe8XU0yaj5YN9t27bh4+OD2WzmgQceYObMmdSvXx+AJ554gjZt2nDzzTeX+PFGjx6Nn59f8RYVFVVW0YUQQohKz7NRI2pM/hGv5s3B6aQoOQVXQQE6X1+8Wrci6L4heDZsqFk+zffIxMfHs3nzZrKyspg2bRoDBw5k2bJl7N+/nyVLlrDpMgcYjRgxgieffLL4c6vVKmVGCCGEuArm2rWJ+e5b7GknKEpJRu/vjzE6GkWn+f4Q7YuMyWSidu3aADRr1ox169bxwQcf4OnpyYEDB/D39z/v/rfeeivt27dn6dKlF3w8s9mM2Wwu49RCCCFE1WMMC8UYFqp1jPNoXmT+yel0YrPZePXVV7nvvvvOuy0hIYH33nuPXr16aZROCCGEEBWJpkVmxIgR9OjRg+joaLKzs/nxxx9ZunQpCxYsIDw8/IIDfKOjo4mNjdUgrRBCCCEqGk2LzIkTJ7jnnntISUnBz8+PRo0asWDBArp06aJlLCGEEEK4CU2LzNdff31Z93eH5cSFEEIIUX60H24shBBCCHGFpMgIIYQQwm1JkRFCCCGE25IiI4QQQgi3JUVGCCGEEG5LiowQQggh3JYUGSGEEEK4LSkyQgghhHBbUmSEEEII4bakyAghhBDCbUmREUIIIYTbkiIjhBBCCLclRUYIIYQQbkuKjBBCCCHclhQZIYQQQrgtKTJCCCGEcFtSZIQQQgjhtqTICCGEEMJtSZERQgghhNuSIiOEEEIItyVFRgghhBBuS4qMEEIIIdyWFBkhhBBCuC2D1gHKmsvlAsBqtWqcRFxKXkEhOQ4HuUWK/HsJIUQVd/b3wNnf4xdT6YtMdnY2AFFRURonESW2H/Dz0zqFEEKICiA7Oxu///idoLguVXXcnNPpJDk5GV9fXxRF0TrOVbFarURFRXH06FEsFovWcSoMeV8uTt6bC5P35cLkfbk4eW8urCzfF5fLRXZ2NpGRkeh0Fx8JU+n3yOh0OqpXr651jFJlsVjkP9IFyPtycfLeXJi8Lxcm78vFyXtzYWX1vvzXnpizZLCvEEIIIdyWFBkhhBBCuC0pMm7EbDYzcuRIzGaz1lEqFHlfLk7emwuT9+XC5H25OHlvLqwivC+VfrCvEEIIISov2SMjhBBCCLclRUYIIYQQbkuKjBBCCCHclhQZIYQQQrgtKTJuokaNGiiKct42ZsyY8+6zdetW2rdvj4eHB1FRUYwdO1ajtOXrk08+oUaNGnh4eNCyZUv++usvrSOVq1GjRv3re6Nu3brFtxcUFDB8+HCCgoLw8fHh1ltvJS0tTcPEZWP58uX06tWLyMhIFEVh1qxZ593ucrl45ZVXiIiIwNPTk86dO7Nv377z7pORkcGAAQOwWCz4+/szZMgQcnJyyvFVlI1LvTeDBg361/dQ9+7dz7tPZXxvRo8eTfPmzfH19SU0NJTevXuzZ8+e8+5Tkv8/SUlJ9OzZEy8vL0JDQ3nmmWcoKioqz5dSqkryvnTs2PFf3zMPPPDAefcpr/dFiowbee2110hJSSneHnnkkeLbrFYrXbt2JSYmhg0bNjBu3DhGjRrFF198oWHisjdlyhSefPJJRo4cycaNG0lMTKRbt26cOHFC62jlqkGDBud9b/z555/Ftz3xxBP88ssvTJ06lWXLlpGcnEyfPn00TFs2cnNzSUxM5JNPPrng7WPHjuXDDz/kf//7H2vXrsXb25tu3bpRUFBQfJ8BAwawY8cOFi1axNy5c1m+fDn3339/eb2EMnOp9wage/fu530PTZ48+bzbK+N7s2zZMoYPH86aNWtYtGgRdrudrl27kpubW3yfS/3/cTgc9OzZk8LCQlatWsWkSZOYOHEir7zyihYvqVSU5H0BGDp06HnfM3//47lc3xeXcAsxMTGu995776K3f/rpp66AgACXzWYrvu65555zxcfHl0M67bRo0cI1fPjw4s8dDocrMjLSNXr0aA1Tla+RI0e6EhMTL3hbZmamy2g0uqZOnVp83a5du1yAa/Xq1eWUsPwBrpkzZxZ/7nQ6XeHh4a5x48YVX5eZmekym82uyZMnu1wul2vnzp0uwLVu3bri+8yfP9+lKIrr+PHj5Za9rP3zvXG5XK6BAwe6br755ot+TVV5b06cOOECXMuWLXO5XCX7/zNv3jyXTqdzpaamFt/ns88+c1kslvN+Hruzf74vLpfLde2117oee+yxi35Neb4vskfGjYwZM4agoCCaNGnCuHHjzttFt3r1ajp06IDJZCq+rlu3buzZs4fTp09rEbfMFRYWsmHDBjp37lx8nU6no3PnzqxevVrDZOVv3759REZGUrNmTQYMGEBSUhIAGzZswG63n/ce1a1bl+jo6Cr1Hh06dIjU1NTz3gc/Pz9atmxZ/D6sXr0af39/rrnmmuL7dO7cGZ1Ox9q1a8s9c3lbunQpoaGhxMfH8+CDD3Lq1Kni26rKe5OVlQVAYGAgULL/P6tXryYhIYGwsLDi+3Tr1g2r1cqOHTvKMX3Z+ef7ctYPP/xAcHAwDRs2ZMSIEeTl5RXfVp7vS6VfNLKyePTRR2natCmBgYGsWrWKESNGkJKSwrvvvgvw//buPSaKe4sD+Jciuy4irLLALlg2izxEBYsYNxuKTQPysFotDaHUCEilLZbSpqDFqgnaxGIsNa1pjTFmsdqEmLbUSqItgisijwiFAkoJUJDYQFF8gWCB3XP/8DJxwtNeZO/i+SSTML/fb2bO72Rmc5iZBXR2dkKj0Yi2GT6BOjs7MW/evGmP+Wm7desWjEaj6EIBHs37jz/+MFNU00+r1SInJwc+Pj7o6OjAnj17EBwcjPr6enR2dkIikUAul4u2cXFxQWdnp3kCNoPhuY52rgz3dXZ2wtnZWdQ/a9YszJ8/f8bnKiIiAlFRUdBoNGhpacEnn3yCyMhIlJWVwdra+pnIjclkwocffoigoCAsXboUACZ1/XR2do56Xg33WbrR8gIAb775JtRqNVxdXVFbW4uPP/4YjY2N+PHHHwFMb164kDGjjIwM7N+/f9wxDQ0NWLRoET766COhzd/fHxKJBO+88w4+++wz/pPZz7jIyEjhZ39/f2i1WqjVapw6dQoymcyMkTFL8cYbbwg/+/n5wd/fHwsXLoTBYEBISIgZI5s+7733Hurr60Xvl7Gx8/L4+1F+fn5QqVQICQlBS0sLFi5cOK0x8qMlM0pLS0NDQ8O4i4eHx6jbarVaDA0Noa2tDQCgVCpHvEk/vK5UKp/qPMxFoVDA2tp61HnP1DlPhlwuh7e3N5qbm6FUKjEwMIC7d++KxjxrORqe63jnilKpHPGS+NDQEG7fvv1M5QoAPDw8oFAo0NzcDGDm5yYlJQX5+fm4cOECFixYILRP5vqZyZ+9Y+VlNFqtFgBE58x05YULGTNycnLCokWLxl0ef+flcTU1NXjuueeE2706nQ7FxcUYHBwUxhQUFMDHx2dGPlYCAIlEgsDAQBQWFgptJpMJhYWF0Ol0ZozMvHp7e9HS0gKVSoXAwEDY2NiIctTY2Ij29vZnKkcajQZKpVKUh/v376OiokLIg06nw927d1FVVSWMKSoqgslkEj6knxU3btxAd3c3VCoVgJmbGyJCSkoK8vLyUFRUNOLx/GSuH51Oh7q6OlGhV1BQAHt7eyxevHh6JjLFJsrLaGpqagBAdM5MW16m9NVh9lSUlpbSwYMHqaamhlpaWujkyZPk5OREcXFxwpi7d++Si4sLbdq0ierr6yk3N5dsbW3pyJEjZoz86cvNzSWpVEo5OTl07do1evvtt0kul4velJ/p0tLSyGAwUGtrK12+fJlCQ0NJoVBQV1cXERG9++675O7uTkVFRVRZWUk6nY50Op2Zo556PT09VF1dTdXV1QSAvvjiC6qurqbr168TEVFWVhbJ5XI6ffo01dbW0vr160mj0VB/f7+wj4iICAoICKCKigoqKSkhLy8vio2NNdeUpsx4uenp6aH09HQqKyuj1tZWOn/+PC1fvpy8vLzo4cOHwj5mYm6Sk5PJwcGBDAYDdXR0CEtfX58wZqLrZ2hoiJYuXUphYWFUU1ND586dIycnJ9qxY4c5pjQlJspLc3Mz7d27lyorK6m1tZVOnz5NHh4etGrVKmEf05kXLmQsQFVVFWm1WnJwcKDZs2eTr68v7du3T/QhQ0T0+++/04svvkhSqZTc3NwoKyvLTBFPr0OHDpG7uztJJBJauXIllZeXmzukaRUTE0MqlYokEgm5ublRTEwMNTc3C/39/f20detWmjdvHtna2tJrr71GHR0dZoz46bhw4QIBGLHEx8cT0aOvYO/evZtcXFxIKpVSSEgINTY2ivbR3d1NsbGxZGdnR/b29rR582bq6ekxw2ym1ni56evro7CwMHJyciIbGxtSq9WUlJQ04peBmZib0XICgPR6vTBmMtdPW1sbRUZGkkwmI4VCQWlpaTQ4ODjNs5k6E+Wlvb2dVq1aRfPnzyepVEqenp60bds2unfvnmg/05UXq/8GzRhjjDFmcfgdGcYYY4xZLC5kGGOMMWaxuJBhjDHGmMXiQoYxxhhjFosLGcYYY4xZLC5kGGOMMWaxuJBhjDHGmMXiQoYxxhhjFosLGcbYE8nJyYFcLjd3GKMqLCyEr68vjEbjmGMyMzPxwgsvTFtMGRkZeP/996fteIw9a7iQYYyJJCQkwMrKClZWVpBIJPD09MTevXsxNDRk7tAmtH37duzatQvW1tbmDkWQnp6O48eP488//zR3KIzNSFzIMMZGiIiIQEdHB5qampCWlobMzEwcOHDA3GGNq6SkBC0tLXj99dfNHYqIQqFAeHg4Dh8+bO5QGJuRuJBhjI0glUqhVCqhVquRnJyM0NBQ/Pzzz6Ixv/zyC3x9fWFnZycUPsOuXLmC1atXQ6FQwMHBAS+99BJ+++03oZ+IkJmZCXd3d0ilUri6uiI1NVXo/+eff5Ceng43NzfMmTMHWq0WBoNh3Jhzc3OxevVqzJ49W9SelZUFFxcXzJ07F2+99RYePnwo6p8o1sTERKxdu1a0zeDgIJydnXHs2DEAwPfffw8/Pz/IZDI4OjoiNDQUDx48EMavW7cOubm548bPGPt3uJBhjE1IJpNhYGBAWO/r68Pnn3+OEydOoLi4GO3t7UhPTxf6e3p6EB8fj5KSEpSXl8PLywtr1qxBT08PAOCHH37AwYMHceTIETQ1NeGnn36Cn5+fsH1KSgrKysqQm5uL2tpaREdHIyIiAk1NTWPGeOnSJaxYsULUdurUKWRmZmLfvn2orKyESqXCN998IxozUaxbtmzBuXPnRIVafn4++vr6EBMTg46ODsTGxiIxMRENDQ0wGAyIiorC4/+Pd+XKlbhx4wba2tqeIOuMsUmZ8v+nzRizaPHx8bR+/XoiIjKZTFRQUEBSqZTS09OJiEiv1xMAam5uFrb5+uuvycXFZcx9Go1Gmjt3Lp05c4aIiLKzs8nb25sGBgZGjL1+/TpZW1vTX3/9JWoPCQmhHTt2jHkMBwcH+vbbb0VtOp2Otm7dKmrTarW0bNmyScdKRLR48WLav3+/sL5u3TpKSEggIqKqqioCQG1tbWPu8969ewSADAbDmGMYY/8O35FhjI2Qn58POzs7zJ49G5GRkYiJiUFmZqbQb2tri4ULFwrrKpUKXV1dwvrff/+NpKQkeHl5wcHBAfb29ujt7UV7ezsAIDo6Gv39/fDw8EBSUhLy8vKEl4nr6upgNBrh7e0NOzs7Ybl48SJaWlrGjLm/v3/EY6WGhgZotVpRm06nE61PFCvw6K6MXq8Xxp89exaJiYkAgGXLliEkJAR+fn6Ijo7G0aNHcefOHdExZDIZgEd3shhjU2uWuQNgjP3/efnll3H48GFIJBK4urpi1izxR4WNjY1o3crKSvQoJT4+Ht3d3fjyyy+hVqshlUqh0+mEx1PPP/88Ghsbcf78eRQUFGDr1q04cOAALl68iN7eXlhbW6OqqmrEt4/s7OzGjFmhUIwoICZjolgBIC4uDhkZGSgrK0NpaSk0Gg2Cg4MBANbW1igoKEBpaSl+/fVXHDp0CDt37kRFRQU0Gg0A4Pbt2wAAJyenJ46PMTY+viPDGBthzpw58PT0hLu7+4giZjIuX76M1NRUrFmzBkuWLIFUKsWtW7dEY2QyGdatW4evvvoKBoMBZWVlqKurQ0BAAIxGI7q6uuDp6SlalErlmMcMCAjAtWvXRG2+vr6oqKgQtZWXlz9xrI6OjtiwYQP0ej1ycnKwefNmUb+VlRWCgoKwZ88eVFdXQyKRIC8vT+ivr6+HjY0NlixZMnHyGGNPhO/IMMamnJeXF06cOIEVK1bg/v372LZtm/B4BXj0R/WMRiO0Wi1sbW1x8uRJyGQyqNVqODo6YuPGjYiLi0N2djYCAgJw8+ZNFBYWwt/fH6+88sqoxwwPD8fx48dFbR988AESEhKwYsUKBAUF4bvvvsPVq1fh4eEx6ViHbdmyBWvXroXRaER8fLzQXlFRgcLCQoSFhcHZ2RkVFRW4efMmfH19hTGXLl1CcHDwqPtljP1v+I4MY2zKHTt2DHfu3MHy5cuxadMmpKamwtnZWeiXy+U4evQogoKC4O/vj/Pnz+PMmTNwdHQEAOj1esTFxSEtLQ0+Pj7YsGEDrly5And39zGPuXHjRly9ehWNjY1CW0xMDHbv3o3t27cjMDAQ169fR3Jy8hPFOiw0NBQqlQrh4eFwdXUV2u3t7VFcXIw1a9bA29sbu3btQnZ2NiIjI4Uxubm5SEpKevJEMsYmZEWPP9hmjDELtm3bNty/fx9HjhyZ8n339vbCzc0Ner0eUVFRk97u7NmzSEtLQ21t7b96TMcYGx/fkWGMzRg7d+6EWq2GyWSasn2aTCZ0dXXh008/hVwux6uvvvpE2z948AB6vZ6LGMaeEr4jwxhj42hra4NGo8GCBQuQk5ODkJAQc4fEGHsMFzKMMcYYs1j8aIkxxhhjFosLGcYYY4xZLC5kGGOMMWaxuJBhjDHGmMXiQoYxxhhjFosLGcYYY4xZLC5kGGOMMWaxuJBhjDHGmMX6D/shIeZqo7IKAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data_path = os.path.abspath(\"/Users/sanchez/Devel/DESC/data_public/sncosmo_sn_models\")\n", "sn_type = \"II\"\n", "sn_model = \"v19-2013am\"\n", "modeldir = os.path.join(data_path, \"NON1ASED.V19_CC+HostXT_WAVEEXT\")\n", "\n", "\n", "sn_absolute_mag = -19.3\n", "sn_absolute_zpsys = \"ab\"\n", "sn_absolute_mag_band = \"bessellb\"\n", "z = 1.2\n", "\n", "my_SN = supernovae.Supernova(\n", " source=sn_model,\n", " redshift=z,\n", " sn_type=sn_type,\n", " absolute_mag=sn_absolute_mag,\n", " absolute_mag_band=sn_absolute_mag_band,\n", " mag_zpsys=sn_absolute_zpsys,\n", " modeldir=modeldir,\n", ")\n", "print(my_SN.source)\n", "\n", "min_mag = 100\n", "time = np.linspace(-70, 250, 1000)\n", "for filt in [\"F213\", \"F106\", \"lssti\", \"lsstg\"]:\n", " plt.plot(time, my_SN.get_apparent_magnitude(time, filt), label=filt)\n", " if my_SN.source.peakmag(filt, sn_absolute_zpsys) < min_mag:\n", " min_mag = my_SN.source.peakmag(filt, sn_absolute_zpsys)\n", "\n", "plt.gca().invert_yaxis()\n", "plt.legend()\n", "plt.xlabel(\"Phase (days)\")\n", "plt.ylabel(\"AB Mag\")\n", "plt.ylim(bottom=min_mag + 10, top=min_mag - 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc114df7", "metadata": {}, "source": [ "If we now include the model directory, an instance of sncosmo.TimeSeriesSource is first created, and this is passed into the sncosmo.Model class. Now the model supports an extended range of wavelengths, so this works for redshifts z <= 1.1. Note that only the upper limit of the supported range of wavelengths is increased; the lower limit is unchanged. Thus, using higher redshifts still results in an error." ] }, { "cell_type": "code", "execution_count": 6, "id": "0f984f4e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "class : TimeSeriesSource\n", "name : None\n", "version : None\n", "phases : [-9.7, .., 272.08] days\n", "wavelengths: [1605, .., 25000] Angstroms\n", "parameters:\n", " amplitude = 3.602109142312445e-17\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_SN = supernovae.Supernova(\n", " source=sn_model,\n", " redshift=z,\n", " sn_type=sn_type,\n", " absolute_mag=sn_absolute_mag,\n", " absolute_mag_band=sn_absolute_mag_band,\n", " mag_zpsys=sn_absolute_zpsys,\n", " modeldir=modeldir,\n", ")\n", "\n", "print(my_SN.source)\n", "\n", "min_mag = 100\n", "time = np.linspace(-70, 250, 1000)\n", "for filt in [\"F213\", \"F106\", \"lssti\", \"lsstg\"]:\n", " plt.plot(time, my_SN.get_apparent_magnitude(time, filt), label=filt)\n", " if my_SN.source.peakmag(filt, sn_absolute_zpsys) < min_mag:\n", " min_mag = my_SN.source.peakmag(filt, sn_absolute_zpsys)\n", "\n", "plt.gca().invert_yaxis()\n", "plt.legend()\n", "plt.xlabel(\"Phase (days)\")\n", "plt.ylabel(\"AB Mag\")\n", "plt.ylim(bottom=min_mag + 10, top=min_mag - 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ac74b9ed", "metadata": {}, "source": [ "For generating a random supernova, a supernova model is selected at random that matches the specified sn_type. If modeldir is not specified, the supernova model is chosen from sncosmo's built-in list of models. If modeldir is specified, the supernova model is chosen from the available models in the directory.\n", "\n", "An optional random seed can be added for reproducibility." ] }, { "cell_type": "code", "execution_count": 7, "id": "5d7402ef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v19-2013fs\n", "class : TimeSeriesSource\n", "name : None\n", "version : None\n", "phases : [-7.28, .., 125.29] days\n", "wavelengths: [1605, .., 25000] Angstroms\n", "parameters:\n", " amplitude = 8.332249824778664e-19\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/sanchez/.virtualenvs/slsim/lib/python3.12/site-packages/sncosmo/models.py:189: RuntimeWarning: invalid value encountered in log10\n", " result[i] = -2.5 * np.log10(f / zpf)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sn_type = \"IIP\"\n", "modeldir = os.path.join(data_path, \"NON1ASED.V19_CC+HostXT_WAVEEXT/\")\n", "\n", "\n", "random_SN = random_supernovae.RandomizedSupernova(\n", " sn_type=sn_type,\n", " redshift=z,\n", " absolute_mag_band=sn_absolute_mag_band,\n", " mag_zpsys=sn_absolute_zpsys,\n", " modeldir=modeldir,\n", " random_seed=2,\n", ")\n", "\n", "# displays the sn model that was randomly chosen\n", "print(random_SN._sncosmo_source)\n", "print(random_SN.source)\n", "\n", "min_mag = 100\n", "time = np.linspace(-70, 250, 1000)\n", "for filt in [\"F213\", \"F106\", \"lssti\", \"lsstg\"]:\n", " plt.plot(time, random_SN.get_apparent_magnitude(time, filt), label=filt)\n", " if random_SN.source.peakmag(filt, sn_absolute_zpsys) < min_mag:\n", " min_mag = random_SN.source.peakmag(filt, sn_absolute_zpsys)\n", "\n", "plt.gca().invert_yaxis()\n", "plt.legend()\n", "plt.xlabel(\"Phase (days)\")\n", "plt.ylabel(\"AB Mag\")\n", "plt.ylim(bottom=min_mag + 10, top=min_mag - 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "56b5f482", "metadata": {}, "source": [ "For type Ia supernovae, the model directory should be set to the path of the SALT3.NIR_WAVEEXT directory." ] }, { "cell_type": "code", "execution_count": 8, "id": "3f50fcdb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "class : SALT3Source\n", "name : None\n", "version : None\n", "phases : [-20, .., 50] days\n", "wavelengths: [2000, .., 25000] Angstroms\n", "parameters:\n", " x0 = 4.6314195988324025e-06\n", " x1 = 0.0\n", " c = 0.0\n", "-20.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/sanchez/.virtualenvs/slsim/lib/python3.12/site-packages/sncosmo/models.py:189: RuntimeWarning: divide by zero encountered in log10\n", " result[i] = -2.5 * np.log10(f / zpf)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sn_type = \"Ia\"\n", "sn_model = \"salt3-nir\"\n", "modeldir = os.path.join(data_path, \"SALT3.NIR_WAVEEXT/\")\n", "\n", "\n", "sn_absolute_mag = -19.3\n", "sn_absolute_zpsys = \"ab\"\n", "sn_absolute_mag_band = \"bessellb\"\n", "z = 0.7\n", "\n", "my_SN = supernovae.Supernova(\n", " source=sn_model,\n", " redshift=z,\n", " sn_type=sn_type,\n", " absolute_mag=sn_absolute_mag,\n", " absolute_mag_band=sn_absolute_mag_band,\n", " mag_zpsys=sn_absolute_zpsys,\n", " modeldir=modeldir,\n", ")\n", "\n", "print(my_SN.source)\n", "print(my_SN.source.minphase())\n", "\n", "time = np.linspace(-50, 100, 1000)\n", "for filt in [\"F213\", \"F106\", \"lssti\", \"lsstg\"]:\n", " plt.plot(time, my_SN.get_apparent_magnitude(time, filt), label=filt)\n", "plt.gca().invert_yaxis()\n", "plt.legend()\n", "plt.xlabel(\"Phase (days)\")\n", "plt.ylabel(\"AB Mag\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "c0e75337", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "salt3\n", "class : SALT3Source\n", "name : None\n", "version : None\n", "phases : [-20, .., 50] days\n", "wavelengths: [2000, .., 25000] Angstroms\n", "parameters:\n", " x0 = 5.061652110982612e-06\n", " x1 = -1.58688169380922\n", " c = -0.19537964099282026\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/sanchez/.virtualenvs/slsim/lib/python3.12/site-packages/sncosmo/models.py:189: RuntimeWarning: divide by zero encountered in log10\n", " result[i] = -2.5 * np.log10(f / zpf)\n", "/Users/sanchez/.virtualenvs/slsim/lib/python3.12/site-packages/sncosmo/models.py:189: RuntimeWarning: invalid value encountered in log10\n", " result[i] = -2.5 * np.log10(f / zpf)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sn_type = \"Ia\"\n", "modeldir = os.path.join(data_path, \"SALT3.NIR_WAVEEXT/\")\n", "\n", "\n", "random_SN = random_supernovae.RandomizedSupernova(\n", " sn_type=sn_type,\n", " redshift=z,\n", " absolute_mag_band=sn_absolute_mag_band,\n", " mag_zpsys=sn_absolute_zpsys,\n", " modeldir=modeldir,\n", ")\n", "\n", "# displays the sn model that was randomly chosen\n", "print(random_SN._sncosmo_source)\n", "print(random_SN.source)\n", "\n", "time = np.linspace(-50, 100, 1000)\n", "for filt in [\"F213\", \"F106\", \"lssti\", \"lsstg\"]:\n", " plt.plot(time, random_SN.get_apparent_magnitude(time, filt), label=filt)\n", "plt.gca().invert_yaxis()\n", "plt.legend()\n", "plt.xlabel(\"Phase (days)\")\n", "plt.ylabel(\"AB Mag\")\n", "plt.show()" ] } ], "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }