{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# AKARI-SEP master catalogue\n", "## Preparation of DES data\n", "\n", "Blanco DES catalogue: the catalogue comes from `dmu0_DES`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The G band stellarity;\n", "- The magnitude for each band.\n", "- The auto/kron magnitudes/fluxes to be used as total magnitude.\n", "- The aperture magnitudes, which are used to compute a corrected 2 arcsec aperture magnitude.\n", "\n", "We don't know when the maps have been observed. We will take the final observation date as 2017." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n", "This notebook was executed on: \n", "2018-02-21 16:17:43.581984\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "import datetime\n", "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, remove_duplicates, \\\n", " nb_plot_mag_ap_evol, nb_plot_mag_vs_apcor \n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag, aperture_correction" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"des_ra\"\n", "DEC_COL = \"des_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pristine HSC catalogue\n", "orig_des = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_AKARI-SEP.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 - Aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "Target aperture: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "\n", "The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "Magnitude range: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n", "apertures = [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\", \"10\", \"11\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_des[\"MAG_APER_{}_{}\".format(aperture, band.upper())] for aperture in apertures]\n", " )\n", "\n", " stellarities[band] = np.array(orig_des[\"CLASS_STAR_{}\".format(band.upper())])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isclose(magnitudes[band], 99.)\n", " magnitudes[band][mask] = np.nan\n", "\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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BuVkB3fzIIrWFI15HAgD0cJQaeKY4L1M/vPh4LdlUr/teWO11HABAD0epgacu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\nkcU5+tLpwzWjolQnDu3LysAAejxPSo1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9zwNuSF7fAJx/6AWSxgA1wPUAEbE/Inp6Xyth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\nz27l/accmXUUMzOzdnU0UPinwLHA7cBVEbGyKx8cEWf0MNs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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2GGOqrbWNxphqYOMwr7EucrnRGPMwsAcwZDiJtKosAViwYIGGj8SBwkly6Ghr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\nIWUFWWzuSjJ5Qh571JcpmIh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We will use magnitudes between 15.0 and 16.0" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.38942670822143555\n", "Number of source used: 1053\n", "RMS: 0.08962199868657524\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], \n", " stellarities['g'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for g band:\")\n", "print(\"Correction: {}\".format(mag_corr['g']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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HH52qbfuaddWv/qFVOw96HQkA0EckrdSYWZ6kRyXd7Jw7aoqLiz4n/3gPKbnA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\nw0VNnVrz0n6OHG91UWNmZjXDRU2datpYoJ/gklnjso5iZmb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.3422098159790039\n", "Number of source used: 489\n", "RMS: 0.12592138188610189\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], \n", " stellarities['r'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for r band:\")\n", "print(\"Correction: {}\".format(mag_corr['r']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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AfigRIzVBSbc45yZJOlPSDWY2SdKtkp53zpVLej66fBgz80u6R9IlkiZJ+kD0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\n01kTkJR1HDMzqwJZzc68B7g2eX4tcPeJN0TEz4D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Pq2fu5LFZRzEzMxsQFzUGQEtrnjfN\nHE99nf9ImJlZZfInmPH83na2tbXT5P1pzMysgrmoMVpa8wA0+bwnMzOrYC5qjOZcGxNHD2P2aaOy\njmJmZjZgLmpqXETQ0pqnadZ4JGUdx8zMbMBc1NS4TbsPkj/UwVIPPZmZWYVzUVPjmnPJ/jQuaszM\nrMK5qKlxzbk8MyaMZHLj8KyjmJmZDYqLmhp2pPMYj21p81JuMzOrCi5qatjaHfs53NHp857MzKwq\nuKipYSs3tyHBklnuqTEzs8rnoqaGNbfmmTNpLI0jGrKOYmZmNmguampUe8dRVm/fx1LPpzEzsyrh\noqZGPb51L0c6w/NpzMysarioqVEtrW001J3Eounjso5iZmY2JFzU1KiVm/MsmNbI8Ia6rKOYmZkN\nCRc1NWjv4Q427DrAMu8ibGZmVcRFTQ1a1Vo4GsHnPZmZWTVxUVODVubyjB5Wz9zJY7OOYmZmNmRc\n1NSgltY8b5o5nvo6/+c3M7Pq4U+1GvP83na2tbX7vCczM6s6LmpqTEtrHoAmz6cxM7Mq46KmxjTn\n2pg4ehizTxuVdRQzM7Mh5aKmhkQELa15mmaNR1LWcczMzIaUi5oasmn3QfKHOjz0ZGZmVclFTQ1p\nzhX2p3FRY2Zm1chFTQ1pzuWZMWEkkxqHZx3FzMxsyLmoqRFHOo/x2JY2L+U2M7OqlUlRI+ndktZL\nOiZpYQ/3nCnpx5I2JPfeUOqc1eTp5/dzuKOTplkeejIzs+qUVU/NOuAq4JFe7jkK/GFEnAssBj4s\n6dxShKtGzbk2JFgyyz01ZmZWneqzaDQiNgK9LiuOiF3AruT5QUkbgcnAhlJkrDbNrXnmTBpL44iG\nrKOYmZkVRUXMqZE0HZgPPJZtksrU3nGU1dv3sdTzaczMrIoVradG0oPA67r51icj4u5+vM8o4LvA\nRyPiQC/3XQdcBzB16tR+pq1uj2/dy5HOYJmXcpuZWRUrWlETERcP9j0knUyhoPlWRNzVR3u3ALcA\nLFy4MAbbdjVpaW2joe4kFk4bl3UUMzOzoinb4ScVJtx8BdgYEZ/NOk8lW7k5z4JpjQxvqMs6ipmZ\nWdFktaT7HZJ2AEuAeyX9MLk+SdJ9yW1NwPuBCyWtSb4uyyJvJdt7uIMNuw546MnMzKpeVqufVgAr\nurm+E7gseb4S8KmLg9TSmgdgqYsaMzOrcmU7/GRDoznXxuhh9cydPDbrKGZmZkXloqbKTRw9jCvn\nT6K+zv+pzcysumUy/GSl8weXnJ11BDMzs5LwP9/NzMysKrioMTMzs6rgosbMzMyqgosaMzMzqwou\naszMzKwquKgxMzOzquCixszMzKqCixozMzOrCi5qzMzMrCq4qDEzM7Oq4KLGzMzMqoKLGjMzM6sK\nLmrMzMysKigiss4w5CTtAbYV4a0nAPkivG+xOXfpVGJmcO5SqsTM4NylVImZobi5p0XExL5uqsqi\nplgkPRkRC7PO0V/OXTqVmBmcu5QqMTM4dylVYmYoj9wefjIzM7Oq4KLGzMzMqoKLmv65JesAA+Tc\npVOJmcG5S6kSM4Nzl1IlZoYyyO05NWZmZlYV3FNjZmZmVcFFTQqS/lXSi5LWZZ2lPySdKenHkjZI\nWi/phqwz9UXSKZIel/R0kvkzWWfqD0l1klZL+n7WWdKS9Jykn0paI+nJrPOkIalR0p2SnpG0UdKS\nrDP1RdLrk9/j418HJH0061x9kXRj8v/iOkm3STol60xpSLohyby+nH+fu/t8kTRO0gOSNiePp2aZ\nsTs95H538vt9TFImq6Bc1KTzNeDSrEMMwFHgDyPiXGAx8GFJ52acqS+vABdGxDzgfOBSSYszztQf\nNwAbsw4xAG+NiPOzXo7ZD58H7o+Ic4B5VMDveURsSn6PzwfeCLQDKzKO1StJk4GPAAsjYg5QB7w3\n21R9kzQH+B3gAgp/Pi6XdFa2qXr0NV77+fJx4KGImA08lLwuN1/jtbnXAVcBj5Q8TcJFTQoR8Qiw\nN+sc/RURuyLiqeT5QQp/8U/ONlXvouBQ8vLk5KsiJn5JmgL8GvDlrLNUM0ljgTcDXwGIiI6I2J9t\nqn67CGiNiGJsEjrU6oHhkuqBEcDOjPOk8UvAYxHRHhFHgf+g8GFbdnr4fLkSuDV5fiuwvKShUugu\nd0RsjIhNGUUCXNTUDEnTgfnAY9km6VsyhLMGeBF4ICLKPnPic8AfA8eyDtJPATwo6SeSrss6TAoz\ngD3AV5Ohvi9LGpl1qH56L3Bb1iH6EhEvAH8HbAd2AS9FxI+yTZXKOuCXJY2XNAK4DDgz40z9cXpE\n7Eqe/ww4PcswlcRFTQ2QNAr4LvDRiDiQdZ6+RERn0kU/Bbgg6Uoua5IuB16MiJ9knWUAliW/32+n\nMET55qwD9aEeWAD8U0TMBw5Tnt3z3ZLUAFwB3JF1lr4kczmupFBITgJGSrom21R9i4iNwF8DPwLu\nB9YAnZmGGqAoLFGuiN7qcuCipspJOplCQfOtiLgr6zz9kQwp/JjKmM/UBFwh6Tng34ALJX0z20jp\nJP8aJyJepDDH44JsE/VpB7CjSw/enRSKnErxduCpiNiddZAULga2RsSeiDgC3AUszThTKhHxlYh4\nY0S8GdgHPJt1pn7YLekMgOTxxYzzVAwXNVVMkijMO9gYEZ/NOk8akiZKakyeDwcuAZ7JNlXfIuIT\nETElIqZTGFr494go+3/RShopafTx58DbKHTdl62I+BnwvKTXJ5cuAjZkGKm/rqYChp4S24HFkkYk\nf59cRAVMygaQdFryOJXCfJpvZ5uoX+4Brk2eXwvcnWGWilKfdYBKIOk24C3ABEk7gE9HxFeyTZVK\nE/B+4KfJHBWAP42I+zLM1JczgFsl1VEoum+PiIpZHl2BTgdWFD6vqAe+HRH3ZxspleuBbyVDOVuA\nD2acJ5WkcLwE+J9ZZ0kjIh6TdCfwFIXVlKspg11jU/qupPHAEeDD5TqZvLvPF+Bm4HZJvwVsA96T\nXcLu9ZB7L/APwETgXklrIuJXS5rLOwqbmZlZNfDwk5mZmVUFFzVmZmZWFVzUmJmZWVVwUWNmZmZV\nwUWNmZmZVQUXNWZWMpKWSwpJ5wzhe35A0qShej8zq1wuasyslK4GViaPg5bsZ/QBClv49+fnvEeX\nWRVyUWNmJZGcQbYM+C0Kuy4j6S2SHpF0r6RNkv5Z0knJ994maZWkpyTdkfw8kp6T9NeSnqJQHC2k\nsBHfGknDk+9PSO5dKOnh5PlNkr4hqRn4RnJw6t9KekLSWkkVsSGemfXMRY2ZlcqVwP0R8SzQJumN\nyfULKOwQfC4wC7gqKUr+N3BxRCwAngT+oMt7tUXEgoj4ZvK934yI8yPi531kODd5z6spFFcvRcQi\nYBHwO5JmDM0v1cyy4C5YMyuVq4HPJ8//LXn9feDxiNgCr269vgx4mUIB0pwc4dAArOryXt8ZYIZ7\nuhQ+bwPmSnpX8nosMBvYOsD3NrOMuagxs6KTNA64EHiDpADqgADuTR67CkDAA0mPSncO99LcUf67\nF/qUXn5OwPUR8cO+fwVmVgk8/GRmpfAu4BsRMS0ipkfEmRR6RH4ZuEDSjGQuzW9QmEj8KNAk6Sx4\n9TTxs3t474PA6C6vnwOOD229s5dMPwR+V9LJSRtnJwdOmlmFclFjZqVwNbDihGvfTa4/AXwRe2KD\nDAAAAIlJREFU2Eih0FkREXsorGq6TdJaCkNPPS0D/xrwz8cnCgOfAT4v6Umgs5dMXwY2AE9JWgf8\nC+69NqtoPqXbzDIj6S3AH0XE5VlnMbPK554aMzMzqwruqTEzM7Oq4J4aMzMzqwouaszMzKwquKgx\nMzOzquCixszMzKqCixozMzOrCi5qzMzMrCr8Fy35JXbyNhoxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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TlE1ueuoWjmdRt76LKbvszu2P/Z3Lfn4cl/zsWM654noO+96PIhipSVarli/h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\nNNnelqxvWcsVZ57Ago/mcvK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.301821231842041\n", "Number of source used: 622\n", "RMS: 0.05961582248775093\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], \n", " stellarities['i'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for i band:\")\n", "print(\"Correction: {}\".format(mag_corr['i']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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Z6a5r56ggO0PX/OQFfffJ9WrrZMZhAMCJEWqQckoKs/XkzdV657xx+vFzNbr8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\nO4qZmdmoc1HTILqO9rDu5/tZ6aknMzOrUy5qGsTarfs5djy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 57 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.28810548782348633\n", "Number of source used: 1401\n", "RMS: 0.03921546691432963\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], \n", " stellarities['z'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for z band:\")\n", "print(\"Correction: {}\".format(mag_corr['z']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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F+wAg8XgWaswsTdIVkp482hjn3I7wdo+kZyXNOsbYB5xzZc65ssLCwliXCxyh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\nalKIiIeBvVnnGKyI2BUR65Lnhyj/w39etqn6F2WHk80RyVd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.31262969970703125\n", "Number of source used: 1232\n", "RMS: 0.03825225295979008\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], \n", " stellarities['y'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for y band:\")\n", "print(\"Correction: {}\".format(mag_corr['y']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2 - Column selection" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "imported_columns = OrderedDict({\n", " 'COADD_OBJECT_ID': \"des_id\",\n", " 'RA': \"des_ra\",\n", " 'DEC': \"des_dec\",\n", " 'CLASS_STAR_G': \"des_stellarity\",\n", " \n", " 'MAG_AUTO_G': \"m_decam_g\", \n", " 'MAGERR_AUTO_G': \"merr_decam_g\", \n", " 'MAG_APER_4_G': \"m_ap_decam_g\", \n", " 'MAGERR_APER_4_G': \"merr_ap_decam_g\",\n", " \n", " 'MAG_AUTO_R': \"m_decam_r\", \n", " 'MAGERR_AUTO_R': \"merr_decam_r\", \n", " 'MAG_APER_4_R': \"m_ap_decam_r\", \n", " 'MAGERR_APER_4_R': \"merr_ap_decam_r\",\n", " \n", " 'MAG_AUTO_I': \"m_decam_i\", \n", " 'MAGERR_AUTO_I': \"merr_decam_i\", \n", " 'MAG_APER_4_I': \"m_ap_decam_i\", \n", " 'MAGERR_APER_4_I': \"merr_ap_decam_i\",\n", " \n", " 'MAG_AUTO_Z': \"m_decam_z\", \n", " 'MAGERR_AUTO_Z': \"merr_decam_z\", \n", " 'MAG_APER_4_Z': \"m_ap_decam_z\", \n", " 'MAGERR_APER_4_Z': \"merr_ap_decam_z\",\n", " \n", " 'MAG_AUTO_Y': \"m_decam_y\", \n", " 'MAGERR_AUTO_Y': \"merr_decam_y\", \n", " 'MAG_APER_4_Y': \"m_ap_decam_y\", \n", " 'MAGERR_APER_4_Y': \"merr_ap_decam_y\",\n", "\n", " })\n", "\n", "\n", "catalogue = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_AKARI-SEP.fits\")[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_decam_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", "\n", " \n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " # Some objects have -99.0 values\n", " mask = (catalogue[col] > 50.) | (catalogue[col] < 0.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting. \n", " \n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxdes_iddes_rades_decdes_stellaritym_decam_gmerr_decam_gm_ap_decam_gmerr_ap_decam_gm_decam_rmerr_decam_rm_ap_decam_rmerr_ap_decam_rm_decam_imerr_decam_im_ap_decam_imerr_ap_decam_im_decam_zmerr_decam_zm_ap_decam_zmerr_ap_decam_zm_decam_ymerr_decam_ym_ap_decam_ymerr_ap_decam_yf_decam_gferr_decam_gflag_decam_gf_ap_decam_gferr_ap_decam_gf_decam_rferr_decam_rflag_decam_rf_ap_decam_rferr_ap_decam_rf_decam_iferr_decam_iflag_decam_if_ap_decam_iferr_ap_decam_if_decam_zferr_decam_zflag_decam_zf_ap_decam_zferr_ap_decam_zf_decam_yferr_decam_yflag_decam_yf_ap_decam_yferr_ap_decam_y
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 729517 sources.\n", "The cleaned catalogue has 729508 sources (9 removed).\n", "The cleaned catalogue has 9 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = ['merr_ap_decam_g', 'merr_ap_decam_r','merr_ap_decam_i','merr_ap_decam_z','merr_ap_decam_y']\n", "FLAG_NAME = 'des_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL, sort_col=SORT_COLS,flag_name=FLAG_NAME)\n", "\n", "nb_sources = len(catalogue)\n", "\n", "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n", "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n", "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Astrometry correction\n", "\n", "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_AKARI-SEP.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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ifp4r1DqRV6UqbXtnnHOYGVDlhOh9GCa9c+kgKTHzeDzOj/6DDz7A0KFDnalV\ndF2HZaVwMIPoEcQqEdQZ4YiuROH2rHhUPhEDItYlQ7zt2ru8o+dKhajGO25PFexsvTbGsmOsOttI\nSsxGjhyJVatWYfv27fjrX/+Kb3/72866//mf/8GwYcPSZiDRNrwD9fO68seUCg+IJZh9uiPdhRYH\nFNb2vvHWd7aLMvp+pGpW7WSW9RRSGdnalaRqFnUikqTE7JZbbsELL7yA733ve/D7/bjuuusAAP/7\nv/+Lhx56CNdcc01ajSTiI0SsY/XzuupH3FVBg/JLPZmGwm2TvA899Wu5Jzec2SpoROpJKs/sjDPO\nwIYNG7B7926ccMIJyMnJAQAMHz4cy5Ytw+TJk9NqJBEf6WEoyNxGy6N2TZUOk7ceS4t3TzxRGxpW\n23ORpUL0LM5bFXHO1OdGENlE0nlmVVVVqK+vd4QMADZv3ozBgwenxTAiOTRFjE21t0FMJpovlQKU\n7uhBxhi0DnbfMMbgUZPb1+CdEx/Dcge09Bwhy2bPhiJbewZJidlHH32ESy65BGvXro1Yvn79ekyf\nPh1bt25Ni3FE92IBKQuv7wkwxqB1ss3z2L84hTFkcTH9VugUA0Z0M0mJ2W9/+1tMmzYNv/zlLyOW\nr1ixAjNmzMCSJUvSYlx3k81fm6lAQe+YgLc9z7mzX/Du/bvSM043nqT7eAgiPST1Cv7rX//CDTfc\n4MwwLWGM4ZprrsG///3vtBjX3XCISLzeSm/pfslUryJbyo0BPae7lMhekhKznJwcHDp0KOa6gwcP\nwu/3p9SoTEHkK3W3FdmFTEaOXpbJtBX40V1QuS2CSJ6kfsbf/OY3cc899+Dtt9/G0aNHEQgEcOjQ\nIbzyyiuYN28evvnNb6bbzm4hVuIv0X5SWSA4HWTqM+4tnjFBpIKkQvPnz5+POXPmYPbs2RE/Ls45\nzjrrLMyfPz9tBhKpw7A41CQShTsDYyxGeHzrKVdEonfbicuGxQEOKEpkZQ/3cdzVPpK9tvacP9l7\nJreFy07D4uIcMWxvry2dIVVpANk2dU622Ut0nKTELD8/H08//TR27tyJHTt2oKGhAaWlpRgzZgxG\njRqVbhuJFME5OhXR0dGGQYsTtue2R0ZNxmr0GUtstrQrlY2WFJhY90xWXGGIrCQS6+xKG7aHj9n6\nPOkgFY07CQSRiSQlZo8++iiuu+46jBkzBmPGjEm3TUSaiE4U7gipasgYY9DUqGOjdXseTwilLckg\nbZYCJIXlNS8hAAAgAElEQVSvrdvBuRhPi3W9pp1k7bZAjWGrEuWNArHEOsa94Ny5H6ksdZXp45ep\nhkS395DUmNmqVatw+PDhdNtC9GIUxqB2sOFJpsHinEeM3clalu7/RR9TVcL7tj6n+G+8RO14x+Tt\niFBMRyBtKlILSCCITCQpMZs7dy4efPBBZ3JOoueR1ISWXdCQtWfMK1l75HYel5elJ1GJwx6ui+1J\ntVFtJJ5tyVYQ6UxFE4LojSTVzbhmzRrU1NTgggsugN/vR15eXsR6xhjefffdtBhIdA1d3Wh2trvS\n5ICK9h3DAsA4h8IYvPZnXKL0C1VJfU3J7kgupjEuojeQlJideOKJ6baDSBOZ3JAZFk84JpaIjgz/\nuXUkHG2YeCwx1feuO56FbgFete3tCCKbSUrMFi1aFHedruuorKxMmUFEarE4wMC7PJeqLRFljEFF\n5JQtbe3DOYfJI8ep5FhYMsEtYsyKR4TbqxmaMJ1Kujop3P2cCKKr6PRr/uWXX2LGjBmpsIVIA8mG\nhqeaZBKlGWMR27n/HTvoonVx3vYKkjyGLGGVqQnTqaSrrzHWcyKIdJOUZxYMBvHII4/gvffeQ01N\nTcS62tpa9O3bNy3GEZ2nu7oYlSQFxr2dW5SEtxVj+xjX416WKF/Nvb2m9K4Q9a6mN3wkEJlFUk3O\nI488ghdffBEnnHACamtrceqpp2LkyJGoq6vDd77zHaxcuTLddhLdjKy5mGxAhGp36bW1jzsc37LC\nHpnCEkdYxpooU5wruVm3oxvbtibe7K78rPbe91j797bcso5gdOIeE5lBUp7Z66+/jocffhiTJ0/G\n+PHjMW/ePAwePBj79+/HnDlzUFdXl247M4pMDqrINNyVLdoqqeRuSpLtpoqcUkUcpL2PxrRLTsW0\nKcXPWp4r0THd3mVnkeOERGLo15z9JOWZHT582IloVFUVoVAIAHDsscdi/vz5CQNEiDBWBn8lW3aJ\npnj2ibGp9uU9icoW4X1i5nK5vog1V5JyW3eJRXUtyuoeim0jR3JeSaxzRe/TGa8oGncitJXAG5CL\nO3Lfo6EPr7bp7D3uDIneAyJ5khKzgoICZwqY0tJS7N6921k3ePBgfPbZZ+mxroeR6dXjk/09uUWv\nPT/CmF2DMXYX88jZ50ryhy43cW/rFo54lT6AcHRkolm1O9rQRZ/P4xL3eK+D0gkBi3Wd1NWY2cT6\nDRDtJ6luxsmTJ2PevHl49tlnMWHCBCxZsgT5+fkoLi7GypUrUVZWlm47M4qONmzeDJ6gSolRzTde\nF5vpCoVvz70Q3lJkF6I7pN7x4ACAiZB7DsAb1QfYKpwfwiNzE72MMYaQyRM+A8Nq/YzaW5GkPfum\nI3Rd3mNVaX1ficwkFTVTiSQ9s3nz5qFfv36wLAs/+tGP0NLSguuuuw6XXnopXn31Vdxyyy3ptpPo\nBuI1gm3lLcXzAhQ7ZNviSOgFAbDzlGJXzNCjwvnbmhZG/ldlgBnlHbq360x1jkSzVUd7SelE3mOC\n6G0k5Zn17dsXzz77rPP366+/jo0bN0LXdYwZMwYDBw5Mm4FE5tHWl75hAZoS26tjjIHZ3pSEcw6D\nAx4lLCwK4CyLFh636MQSVndYvyx7JROrgyaHxUTUo1d1V9QPe4wdCfpIJITRFTiiK5+kOsiEPDGi\nNxL3J3j11Vejvr4+5rrc3FxMmTIFU6dOjRCyuro6XH311am3kug2ZMWM9tCm5xZ1/OjpWDgAA+GS\nVSaP9HwiIxhbN9yqS5TkvzUF0O3BCZWFxSdkCS9RiTp/W55jNIkExKNEeoLRnlMir44gOsOa7Qe6\n24QuI26zs2nTJhiG0a6D6bqOTZs2ddooInPoSDWHeBXj3TlkEiNGJQ75L7lMZeJFNUzuCBIgBMeM\nIbRyk2gBVBXAw8RxZci6xsQYk8nDYewMrYYPO407+Cf62F1dbqqjUBAJkcnE7WbknGPGjBlQki3l\nAMCyUvOJGQgEsHjxYmzYsAF1dXU4/vjjceutt+Kss86Kuf3777+PpUuX4osvvkBBQQEmT56MO++8\nEzk5OSmxp7eTqmoOpgVoaqQXE+v1EtO18Ii/GRMh9BHFgp3/E8JmWBxeVQmH5UOMz5l2l6JliQhC\nxe7mM+wJNg0r0guUdRtThWFFVjeJrvifLdUy4lVlIYhMIK6YzZkzpyvtiGDhwoXYtWsXnnzySQwc\nOBAvvfQSZs+ejbVr12L48OER23711VeYPXs25s+fj8suuwxHjx7F3LlzsXDhQsp/a4PoZOHONOCc\nc2fcyZ2oG3FM1np8KHpCzrD3xpxtZeFaxXUM1yEj/uvuWpTLGYRX52xnT5Apg1GEnbDPG2mLO0CE\nc0Tkr8VN/o5aFx0oKs9hmBxqnJms3cjCyOHjdSxkv6P7SpQYz6+nkej63AWqicwj48Ssrq4O69at\nwyOPPIJhw4YBAGbOnInnnnsOzz33HO66666I7f/2t79h+PDhuOqqqwCIvLebb74Zc+fOxbx581Ba\nWtrl15AtMLuLLVW/TXe1j1iVJzRXgIe7QZBelNw8ulvTtMRhwxNpolUACQAoYNAtDgYRhi9ytcT6\noGkhR1PtBjnsgUmb5ewC0bfCLdLONUadV15LvEoi0detMBazezQesWxqq0FNh+iobfQ3R3/QZCs9\nXbB7KhnXW//JJ59A13WMHTs2Yvm4ceOwbdu2Vtt//PHHGDduXKttDcPAJ598klZbsx2FMadiRmd/\nvNHVPuSyZAknPQtRsCzRMLrH2RhcAmRvKyUhZHGYAHRT/DtkWHZlECFcIUP8Vx5P1nFkLDK5Op5t\nHGJbTWUJq5NIwZXem6yraFnc8eos29NMxisTDav4d7znJJPYE41pxdpX2pLKsbB2xgplFTTzd2aT\nVGh+V1JdXQ0AKC4ujlheUlKCqqqqmNsXFRW12hZAzO3dvPzyy/j44487Y26vIFbeVnt/1InmLYtu\nTE0eOQM0AyK8IzeWva1hrzctQGVi/jbd4vZs0WHR0pTw8TiEOMbqHk3E22+/jQULFrS6J26b3J6c\nvA653OXAOkSfO6J7E4lnAZClvKL3i2Vf9H1320oNdXJ0t+e2YMGCbjt3JpNxYpaI9r5AbW1/ySWX\n4JJLLumMSUQKkWNj0TlYBgdUiIoepiU8FTmmFrLEWIZ0lwyLQ7c48jwMLSZ3KvEX+lRUNBgYUKDB\nrykI6JbTiGuMQbUHpaQwRE/4KbsFVYWBLVgQ0aCYsgpJVJWRtiqORGPZ43Id7aaTtkfv29Zx22tn\nb6e7xay9RIfnXzpuQDdZkl4yrptRlsaqra2NWF5TU4M+ffq02r5Pnz4xtwWQtfOs9eQQ6LauzT2+\nBNiNLwd0u/tRVZjjhcjuPJ/dEOt2V15At1BRb8CjMOR6Ffg0hiPNph3ByHG0SaScSA+wNmiKfTmH\naYmQfilk0g5VYXHHjFQWtsktCt6oY7RFZ2oyAuF6lvGOG6/yCglZ+8gmIetNZJyYjRkzBl6vt1X3\n35YtW3D66ae32n78+PGtxtI2b94Mr9fbatwtW8jmJNq2Gu5YxZbDJafgJGi770H0EXUr7MWZJtAY\nslDVbKBFt8A5h19jKPAxNAYttOgWappNcHD4NaA5ZMHvER6UAhGqn+thdoSjOL4WEdEYtil+hXtu\nX1vs9ck+z85+xMTLV4sedySInkinxWzLli147733UmELAFGhf8aMGVi6dCnKy8sRCATw5JNPoqKi\nAjNnzsT27dtx/vnno7KyEoCIdNy3bx+efvpptLS0YPfu3Vi6dCkuv/xyFBQUpMyurqQzNQK7Gw4k\njNSLV34KCI97yeMAcAInNISToblrHw4AnCPfK+IdWwyOinoDnx0N4ZNDLfiiKoiaoIWKOh0hk6Mp\nZKEpJETvQIMOhQGqoogK9kwEZRhOgIndxWnbFE+UZC9nvGA/9/NMJFimFZkUngzuCi2MMVho7X1x\ne1kqAn0IIlPpdLP585//HDfccEMqbHG46667MGnSJFxxxRWYOHEi3njjDaxYsQKDBg1CIBBAeXk5\ndF0HIOZUe+KJJ7B+/XpMmDABV111FSZPnoyf/exnKbWpK+lsvld7y0/F27e9Das4SOxGPVHgiBQ4\nTQknEMutWgxRpUOJKjosk6QbggYsAE26haAphKc+aCLXo8DvYahtsaApQF2Lic+OhtAYshAy5VQs\nQHOII6CbYAAagyZCBo9IoJZemrsQsYxSlChMiGu85Gf3NUd4nDECR9R2/iKjK7QoiOF9cfLIiJ4P\n453s29i+fTtaWlpwxhlnpMomohPI5N7oKVE6sq/Jeauk5rbQTR5zSgt34m90kEc0MqSeMeGZeVQF\nusmhKXbOmT09jAKgssFArheoaeYIGCY0VUF5dRD98j3Y36AjoFsIGhzHFnoAiPP2zVNFEIhhodAe\nU+uT64FuWWAQfXF+TYFhciiKHW7ORVg+ANx33324774FEfdY1Hds+165t4u+V8keo70YJndsJ3oX\nj7/Veq7JbA4A6ds3fm9b3GjGrVu3YvTo0fB6vdi0aRPGjx8PTWu9eXSOF9G9iK6k1OwrhcwdvRVd\n8d2NrGsok4cjyla5d3F9PskusYgIQtuT4BbA7QRok3PAEt1o3ARqWwy7e5CjupkjZJo40mThaHMI\n+V6GL6pCqA+aABMBIX6NoTRHQ2PQgqYyFPk4AjqQ7wG8qgKDczuqDwBnTsUQ0y5FJYNNgqYdzq6w\nCNuVGPdKolvcqf7vFivVVYA4XuqBO3xe2uIOuY9eFpMu0LFE7wURJhMiIVNdfDhTxDFh1fwjR444\n/45XQZ/oOjIhypHz2HbI7sl43WRO96Fd8FfCEA68YBBehBwHk9F3AcME7GhGw+Ro1k0Ylgj80MDR\nGLSwr95ETYuJPbUhfFYVQkWDjj11OmoCJg43mthdHcKXNSGn6klVswlNARpD4lghw0KLwREwRBei\nybkYfwIALoVH/GCksJlWOILQnbQsk5GdhGQuPExT/teOnFRcY1jhRPAEScyx2sAk2kWFtWfG7o6/\nY939fqb7/GaS9zARyeYyEu0nrmdWVlaG2bNn48QTTwTnHPfeey98Pl/cAz388MNpMbA3kUyCbCrP\n1ZFzeFTmNNbRibrOv7n0anirhFx3gy8DEpi8bibF0g4k4RwKOCwTzhxkBueobbHsZGgO3f7fF1VB\ncDAcbNRxtNnC0CIPvqwK4tgiD/bWGSjyqyiv0ZGrMeR6GQ41GnatRwaTh1Cao4IBCBpArleFqsix\nKA6LM7smH1zLEVH4uPX1yeXhMUFuz5xtIeyFSe9Oelc8xr2TXq4W9bjkMnfjaNl5eBHPxD5nMk87\nbl3NNmiPVyZtTPYc8l2J5fHH2zYdxPOe20t3e2Y9lbhidt9992Hp0qX4+OOPwRjDzp0741bQp4eT\nOkwrfoh1qu9zsj/8VnUUeXgmaLlMs8XFqbOItn/88vzCA5PddeHxMo8CWJzB72Gw7EhFAKgPWij0\nKWjSLTS0GKhsMBEyORp1C/8+GoJHZfiymqOqxcShukZ4PV5oig8mB97b24RzlXwEdAu7WkI4ub8f\nBxp0VDebOCZPw8AijxOO71UYACneDAyRFTM0Fq7u4RYU7trGLQ6aIir3t7oPQMSHQXRljni4Pyhk\nQ+8OWpFEzxfXFun2HiyIJPj2kOw9SSexxoKJzCGumE2ZMgVTpkwBAIwaNQovvviik9BMpAfGWNwp\nNmTD35kvz/YeI/b4j0iyVaK2k7g9CEWNXM85Yn6RW5Dh7yKww7AsqEwBY3adRi7GnbyqgoBuotDH\nEDQsVNTrqGwwEdBN5HsVlOWq+Gh/M0pzNHxxpBlelSMQsnCwpgac9QFjDLoBvLW7CSf386PQr6Cu\nxUS+V8XAQg9UcBHNqABBE/BrHBYYGnULjAGFXgUBQ14Hi6iswXn4OhiLrCAi77lu2QII6bnxiPE2\nN8k0nIYVTnhu0S3keZW4M3y3l3R+oLZ3bE3ev7buCX1U927ijpndf//9zjjZ9OnTE3YxEl2DYXWu\noZI5YMkeI1ZeVaxqEfJ4iY5r2K6XaYXzuIBw0IgUBA6I6EUuylIpjKMxJELnm3UxztUU4jjYaKCu\nxUJAN9Gkc2z4qgk7D7fg+FIfjjSZYHozPt3yT9QcOYhhA8pgcYY+uSqadQt1QRONuglVYahtMXGw\nwcD7e5uxp85AY8iCaXHUBy3UBExYFke+V0WRT4XJGQq8zBYr4QnJbi+DJy5EK69NRvTrXMxyHTnF\nTPu699wVRvK84qfcVoJ2LI8rG8ZwSKiItojrma1ZswZf//rXceaZZ+Lll1/G3Llz4fV64x4o0Tqi\n8zDGoCas1942CmPg7ThGqpK33bZbELM9S5p1jlwPE9U8wMC5hcoGE0V+hiYd8Cgce2p1DCzQ8MmR\nEIaXeGFYHAU+BQxATbOBqmYTJTkaPj8awr6jtSj0Kth/pBbB/buQowLlB4rh8XjAWCEUMBT5VAwr\n9uBQowmFAYOLPDDsSI4jzQY+r7IwoECDaTHkeBQoCnO8KpOHp48RdSBFBRF3154YC4wcVzQ54FXC\nHpz8N1zrRQQntwU9fnRkNBYHFHuyz+hnFr1/yAJ8Ud5/rGXtJROi9IjuIdXRkbFIJmIyrpiNGzcO\ns2fPBiBeVNnlGAvGGHbt2tUBE7uXrvwBpuJcXd19FGvKkOgCvO51iY7N7CK8kaWiRCi8aQFBU3g6\nIZPjmDwFzQbAYOHTo0GMLPPBtDiOyVURMi0EDAu1AQsFXobPq0JgCvDRnhocU5gLbpr4ctuHKBr6\nNbDRk6E31sCoOwKPV8FRTYPRWItTBg7H1soW1LQYOGNwHqqaDRT6RC5bQ8iEIrLNoDKRC6YqoiZk\ns87hsy/AsIQYyS4z6a3JyRtl8rJIphbXK7tK4QS/hO+FnNomeliaQwRMxKsL6ZT14kL4ZZecwQGP\nM5t2+Nl4Y3yguJd1tDu7LTtj2R1vFgWC6AhxxWzp0qVYt24d6urq8Pvf/x4//OEPkZeX15W2pR05\nIWNXTFvv/nrOVgwrfui9GEuLXBbdYGkKnGRnBeGivj5VNMgthgXD5NBVIKRzNOkWhhR5YHHgcJOJ\nI80G8n0qKut1HG02UdVsweQcnx9sQlm+D3sOHEbd3l1gHh8Y52j8bCMsywTzF4L3Ow5FxQPRv19f\n+DUFWw8HMKDQA7+moLwmiIGFOcjxMOR4REJ1dcDAwEI/qgImjvUo4JzD54FT4YSjdaCOXG5FVWAJ\nmhw5GkPIDBdLjkWsRHcGIPqVcd9Xxhg0hTvPx6NGesLR3x2x3j/3MnmMkD2VTvQMBvHe31h2JsIC\nwOz0BHnOZM7T26F7E5+4YlZcXOzM3rxx40bcdNNNKCws7DLDuoKujIzqCfmk8aIsY62zbC9OCpzs\nmgMAcDFuZtm5WkE7As9kgKaKElYh00J9UHT31QZM1ActZzbqhqCFg42iKv7hJhM5GsNnB2phmiYG\nDB6KvV98hub6aqh9hqHhf5Yj54QzMeBrJ6NBD+LQvoM42m+08IzA8GVVECP7+pDnUZHrVXCwwUD/\nAg9yPYozzUyTbsGvMngUxemkVSBEQLcAxZ7oU6Yt2EVEnPti2gEjXhVxO3lNDkeAdCtc2stJVndV\n8Yj+cHBy+BQeMUWOPG50dGMi5MeK5roGSbTouGlvA+t+XaI/kHrCh1+6SPQMejtJzWf2pz/9Kd12\ndAtd+WPpCT/MRJNDAuGvRsPiTjebky/FRdCDwkRDFjTEeBKHCOyQNQYbgiYAhoBuobrZhE9lCBgW\nGoIWCnwMX1aH0BAU9RWPNurYe7QBYwcVYvdhFY3VNbD0Bhj1h9FYexBQvcj92tdRMPwUVB06gLxB\n+QgyFRX79qCo77HI9TIcV+xFiV+BqnIEDY7SHFV0z9mXmqMx5EQptYzK1C27wXeFjMu0AtjX6Pco\nkbUT7ZVS7D1KZH1F0UUp0x+EFxdda1N+FITsEl/uhHQF4RmtoxPUgfjlxqLti/YeRZJ33N0itmOu\na5TRntHvTmR1mKh1iExXIMK0t3ZnbyKumJ199tlYt24dSkpKcPbZZyc8CGMM7777bsqNI9qPe9wG\niCwXFWsMLDqHrCOiK0RLNOIKwo2eCtG4GzycEC0bKs5F6D7Xw2Nloo1lTrSjT2PYV6ejxbCgMmB3\ntYl9dQZMDhxt0nG4QUd9IISK2mYwhcEMNID7c6AV9kXoyF4oqgeKPx9gCoLeIuQyhv79++PzvV9g\nqLcYAwpLUZarwqsq8CkKAiGO/gUqDC6mizFMC4U+FZoS9qhkV6LM6ZIRjc79g51LxuQ1C3ExTVFR\nRFXEhKGMhY8p92OMIWRYtodn3zc7DNJd+komjMv7aHI7Udo+BnMdV3qX4ecbOS4GJJ8o3dZ4WHRU\npHzWibaP3e3ZMz7+0kFXDIlkK3HFbPLkyfB4RHHWs88+m16uLMad39X2tu0XNOEBiC5DuLq4OIRA\n6ZbwJhTYDTTsnCyLgykcGhezQpumaGxDukiQ1hSGgw066kIcxxVrqGjQcaTZhMWBxhBHY8hCUa4f\nh+qD0HUTpccMgD+/GFrRMWgp6Q/TNNG4ewtCNYdxzPGjUXZMf2gKoBb2w/6qRpzQvxi6XV6qxeAo\nyRW5beAMuT4hKDkeBSE76MW0x1gBIVgKwuH2tg7bgh7uVpXlriz3tnI7i8Owwl6Z41XJZ+E6thQt\nTWFOAWSGyOoeoj6iHSXJ5H6RwqXZs3UrUTIjt4n3/B1vz/V3rA+k6GowbXUXxjoftTWEpD11H+OK\n2aJFi5x///rXv+6cRURaiE5WBhBRiUN0X4nqGYmOET83qvXxE63X4gzia3ZVD9n4234CQnb3Wcjg\nojaibqHWnlCzISQK/+5tMOBXGY40mcjTFAzIV/DRgQCGF3tgWBwBr4KDh+rRr09f5Hj6oKq2HscU\n+hEsGQ1dN1A6YDCCpoWSHIZ8j4KgYcHv8yInLxfNBkeLzpHnAfL9CvrmamBMhtorMCHuo8aYmE8N\nrrnXEL4mFcwRFDGWJsacdNP2lFW7Aoct7O7xqJDBoWl2WSrYSdcQ22oQ4i9va9C0q4iI2+eansYO\n+efhCiMWTzBZJ+KLERC/3JS76y/86NuXG5cuZBpEzOtxiXBn7YxVLqwrsSzeoRkxegNxxay8vLxd\nBxo2bFinjSHaT0RgRbxtEpTIctOqGxKRpZmSPb9sPMJdV7aQ2Q2gVwGa7eRtr8JQFQyhyeBoDnEw\nMBxsNODVFORoDDXNJvrmaagOGAAYalpMDC3SUB+ykKsponvS64dHYahpCqFPcSGa9u5AU+4QDCjK\nxagRQ1BeHUJNkKOyLgA9FITR0oQTB/VBn1wV1QET/Qs0NIcsHOAGTijzQk73ooKJ4A9NXATjdvUT\nJma4NjmQY/+CZPejiGYUf3s1BZqrIdUtcX0GF7l2FmPwaGEBYwiLl+zKlLZwzuFT5QeL/Xy4TA+w\now8VFpG7Jo7RujSV/OCJSNgGIrwuIaytx7WcsTgWHhOLJXySttI1UoW7GkosOjoGF/2x15FSXKnE\n5CmYhLKHElfMLrjggna9bP/6179SYhCRPO7SUZJYnla8Af+2nq8iB2ISHF9TWHjqFBtZa9GjyKjF\nsFcGiEZdVRQYloUWw0K+X8WOvc042Gjga319KParqA9aeGV3ExpCFjTVQlWTgeNKNBxpMlGay1BZ\nF8KxxT6U5KoYWtwXtS0mGOMoyVHRNHAM8oNB1DS14FCTD5V1ATAAZXle9DkmFyFehhljitCsWzi2\nwIN+BRqqAyaadQvNOkeOhzljYh5VgaoIoZDjXgyA38Nc0Y4i9F6OVXLORdckD3tvsEt15WjhbRT7\n2QTlJKgWh99WKt3k8KqiHqQshSUba90UAinH8gwO+GzBE8nn4m/5XBhjolo/AC2OJ6Vb4iND5hGG\nTA41RqvtzkGL9X7EI5nu686EnScSso6OM4XzKsPLkk1VSBdUHzI+SXUzBgIBPP744zj11FNxyimn\nIC8vDw0NDdi8eTN27dqFn/zkJ11iLNE2sfK92kNbP1DRxSUm7ZTniq46IcfHGBMV8QGRa6UpQMCw\n4FGYXd+R4UCDifqgiSFFHih2N1xlo4GhhRoGFGgoCokqHbpfQalfxR5moLxGR4vJ8GVVCP8xNNeu\nr6igxO8HAAwp9sDiOahtMWFaHOeMKAa4iCw82myggDF8djSEoUUadh0JwuRA/3wVhT4FAZ3DrzJw\nWwBytHDgg8aEUJhcdA96VQ5FUeBRRJepwhg8THQDqUxctwIRxQkweBXuVNuQ3Y26yZ1qIAYXgTAe\nBU41fJUJr0tjkZN3aopMDeB2KTDR8LqrWcljMMacSFJAHM/rSqRmtt3yuAAiZtWOKXwdeMfamvPM\n/W51N/K6ZQ5fLGQ6RXd3sRKCuGI2ffp059/33HMPrr76asyaNStim2uvvRbLly/HBx98gGnTpqXP\nSiJpOlKCyl3Zo60fqPvw8lyxtpX9+lLYYIeQ52sKQva4A4fw0gr9CloMjn55GgIGx+ACDYcaTZT4\nFRT5FHxRo8OrMhxtNkW3YL6GUwd6cEyuhgIvw4Y9OoImkJOrYGiRBzsOteDEMi9KczT8c18zxvbz\nY2ixF69+3oghxR4MzPeg0B4j65PHoZsWmnSGFoOjf4EHLSaHx7AQMDh8qoJmgyMnqvGWxYg1Vxee\nnOvMsj04OR+bysSYWsieJZvzcEi+ZZevUuwuQhEwI4JpPPZYG7OFKGRycETOVC3H2QCEgz9sRDSk\nqADiYeEoQSlcsZ6XRD7TWMLVnry1tnCLZXteXXeVk3QgrztRBDA5SZlFUnlmb7zxBp5//vmY6847\n7zxcfvnl+NWvfpVSw4iO0aHQejsaEWj7BxodrSaRXVxaVAklxpgtXiIOUFWAkC7C3oVYMOiWJQpI\nMaAxKMawvqrVUexXse1QCwyTw2Siy82jMvTJ0zC82CMq2AMozVHRL9+DbYda0CdHQYlfhUdVMKqP\nDyYDuiEAACAASURBVLplQVMYjjQZOHtoDirqDQwr9To5ZYYFFPhEM5qjAR6NIVcT4iEDWiwL0JkY\nHJJ5cqo9oMUY4FWYLVRw+lI5xNgKY+KeqhClqhTGEDREWSzpedUHTeR5VdGY83DEo/DWRACKzEkL\n2ZGhzTp3utZkqTCvypzQe8Mu0mxaYhuDw57SJixclsWdSv8WD3ugEcE7sRSGJa5kEu+9UdA6WtKd\nIN2e8lbuKifpIN4Ys7vbsbd5ZJkyo3Q8khIzXdfx+eefY+jQoa3WffHFF9B1PeWGEV2LO/G2ozjh\n2/YhpMB57DBy4akw5HqAkCkEr9CvoDkEHA2IBOmyXA15HgWF9riZqMTB0RQ0cWyhD33zVDDGUNFg\nImh30amKgpBpYfQxPgwp9KAxZKHJ4DjQaOCkPn4U+ETgyKACDwq9Kkr8igjSUAAPY8jzKmjW7fEm\n3YJXVUUEIxMlqLyqXY0DrpJVXARIcMjuJlexYMDZ1uAsPPcbZ06kom7a4ggg16M6x5XV91sMDq8H\naA6JOd7EGJ0Cj53H59PkDNLh3ELT1UXHAWG/MDRm42zycBKu+6m7y7zFGm9i0TskicKYnbTtXtZ6\nu2QrgHQ250rOkRZLlOMdO5lAKqJ7SErMpkyZgjvvvBO7du3CqFGj4Pf70dLSgh07duD555/H5MmT\n020n0U24yygBicc9nFmXXctEox7ulmGcQ4OYj8yjMAQtjjwvQ8BgyPcpMAwGk1sYVKChLIej0Mug\nqQx763T4PAwDC70IGhaCJgCLozpoYsKxfgQNjjyPghyPgmOLGOqDBkr8KjRFBHCU5qii205hKPSr\nONxootSjhoNTOEeBR0GDzp1kY48WFi0gnM/FIf6PKTK/yy5bZQ9YeexACssO39dcDaNIIGdoMUzk\neVQhXrYXFjREGL+tP7YNIthDN8NFjuWdZQhHPkrvituBJjIiUQqHaYl0AlkxhHMxb1v4I8b1HFns\nZGd34x9PRtryqqJfnZhd1Bns8PQ2byybSErM7r//fixYsABPPPFEhBemqiqmTJmC+++/P20GEp0n\nuipIMrjD6iPDuGPn9MhuJCA8w7Qcv5HjQqYlugktO6TcoynQdRN+VUFpLhDUObwag8UV5HkZvKoC\nv8bg0xhKcxRwLrrXinwqcjwqAoaFspCKoUVe6KbldOnleVUU+hWU+jWYnKM6YKLYr0JRgDyPsL3Q\nq8BrV9oImUII/V4VTLHgURVoTHTZOQ07B4KGCZ/d9ygK5YrlUjg0W1DAw16paQJM5bDsUH5nbMre\nRgFzjmFwgLnHE03udA0GdA7dnlkgaIj76FTkt11BGYHJEK7Cz+wuSic03RY8d0pF9Pshq4jIOdvk\nKUTitvggiX7+7vcgXkV8IaCx38Ho4snx1sXbN9Z+bSFTDDq6P5FZJCVm+fn5eOihh/DAAw/gq6++\nQmNjI3JzczFkyBDk5+en20YiTSQzNhHd+GhKZP1BN4yJ6hSy2gUAx8uQSb1iGYdHFXHlXoVBUxQU\n+hQcCokEaZXJXCghTBxAkV+FYVqobrGQqzHkelW06BasHGFTjkcV4gTAr4lKHtxujAt9QhRzPQoC\nugWTA3l5QlgsC2g2OAr9KsDE/GXiYux7BNt+e6EzmSjsPC/b2+RczDwtxwwtAAoYPCp3Sn2Fw/QB\nhSlOQWF5L50Zup17x2FxZo/fiSASmVwtujDFucFYxAeE7AqTomg4np5ts207XA15rPch+hHL624L\neQynLqcLd05bez+u4m3vrnCSaP+OnJfIHpISM4nf78eoUaPSZQuRJto7TT0Q/wcvv2Yl0dUiOMLz\nYzGFhRs/S3STOV6ZnV/l0xQETcCnAMU5qj1OA/g0C/3yRYOvMDE9TMhg6JurId+nwrTEvn47kKIh\nKAQyx1YERQEMUwhVv3wNgChYzBhQ4ldFEIMJ6MxCX68G3QI8jMNiQpREzhdzAi7AAJ+mOGNhTHpB\nPFIgTMsWa8ZE+SlVFPvVXSH3FgdCsP9rcvg0gHPm3B8LontQgR3wYQeByHQ0n11936MA3BJpAqqd\nzO1U7rftseR2POoDw6VKYS8uUtzcHzJynCyWmMWrsBEWWB61fexAo87kbSWznyweEF3Fg8StZ9Au\nMSN6F8l0v0RXRIiX1Cm3cw+4exRXkV4Gp8J80LBwTK4CA4Bid2sWeBUU+ETEn2GJbsG6oIU8r2In\nI4v+NVURZas4RIi73yMCIwyLI8ejQGVivM6vKVA1QOPC88tR4NQ71C0Gj2o38AjngElRACI9TkUR\nXZIqRKi9YQFc4WgxLChMsYNIWIRH5NOYk/hscY66oOgKlWNf0o3QALSYEFVI7IUWYNexZOAQtiqO\nbbLivji2HK+zuChwrCniOehWZHpALIFJtiCxFK3oJ+9+FyLLm7V+PxJ5V6kQG8aYM35oWDyl6QXZ\nRKZHJHYGis3pBXS0kdCttrfRFBYRVh3v3HI7GYTBIIRHUxj8GnMqX4ADTSELqqogoItGPEe0ulAZ\nQ55PRb5XhaYqIgoxZCHXI4JHFCaK6MqZl5nt5XHOUOBV4LOTtcV4kxXRgJuueyJC3O1uPVkLEWHP\nUwRWiOtQWLgYMLO7+7yquJ4inwpALAuacsob7nhVKuMIGKIaSr5H1gmxK3FweU4hfGKma8s+B4NP\nU+wKIXb+GMJ2KgpzKu/LZ2DysLgwxiLyEZntecrnGP083X/HetaawiLmXotFMoLUVR6SR01sK5Gd\nkJj1AnSr9bK2xhiAjiVgR2Px2OeSbYnl6v7STVFcuMyOPCzNUZGrKWLMCeLrXze5U3nfpzIU+hQY\ndoCJpjDkeoSgSdttHRT72l6eTxUeTVPICnuJTHphPOx92HbJMTOZW6WbHM32TZXjUc2izAcCZjgZ\nPGQHXuR5gFxNhLs3G6Jb0OKAzhl8qujWVBRxfAZRHgsQAii9LM45Cn2ty27oZjioQs5QAPs6dC68\nEPc95vYy3QoXTY7uOpaYMZ5dMu8NQXQHJGa9gFiiFEvgoknF12u84TrZgMqiu4Cw06OIHDTZLeTV\nFORqCnyq7aWoYsZmza7OkONR4GFiPERUbFDAXMm/pqvtZQDAxTiUXxXCx7ldTsreRkb+mVwEL8gG\nX4gdR4tuOd6dfTh7njIhEvnecL1MDWKsT5STEtPcuNMXNIhISxnyrjAxRqfY3YsmB0KWBQVAXVBM\nfSO7yKSo5HoiPSZ5blkuK/oec9jVRZTInKlYzzpZgSOITCApMeOcY9myZXjkkUcilt96661YtmxZ\nWgwjUkeshqqjZa/au128LkjZgAOunCZ7W1k+SZEBJRrgUxXRdQYRAWmaHD7VHl+yhTFkhsfvGoKm\nLZgMflUImGFxJ69LlkIKl50S+2l2jpisLanZgiYDBqIjDxngCGa4u1H8bQLI84Sv3asyeDQmxrcA\nGGAo8ilg9jiYwsS1+RQGnYt51pp1jqBhQTfDHqbBgcaQ6dzHoBH+MuFMeJ8a405Xq2p7pZxztOj2\n2KDrmcTzvqKfnfBa4z/rRJAAEukmqSbt8ccfxx//+EeUlZVFLB8/fjyeeOIJLF++PC3GEemjI16X\nYSXXKMnt2tqWsci5vTQmPBxRqkh4Bi2GmDZFtcdlZHehzFcD4CT/anaUnwLAZ6u1TBLWmBAv1Q4S\nkcfmticGFk4fEGNb9rW4uujkmJkUCc5FErJXaV0jUHZNqoqwQ3h24rq8rqlaTA7UBAwx75z0JO17\n4NdENGiTbiHPy2zhss+pKrA4h8GZM6ULEP5Biw5LOCWzZBSlVwtvIzXQ7aXLjwwrzrNTo4TQSMLD\nb892BNFRkhKzNWvWYPHixbjqqqsill977bX49a9/jdWrV6fFOCKzUJP05lQ7Fy1RV6YIzhCejsFF\nt57wPFhE6LumMJgIJyXLwsWK7XUxJvK5hDAye7oWUaZKJgLLYAqVhb0mhclaieH8KcMen7IQjloM\n55gJRLV/Qcjkds6dCJuX25lWOD/NsKMbFTtYRAaQyJB1zhHObYM9bsbluRTkeER+nEcRSeNOnhsT\nOXJSeN1iYVmIEEvxTMI2OiIXjrlxnT+cj2ZakYImn5mb9rwTBJFOkgrNP3jwIEaPHh1z3ejRo3Hw\n4MGUGkWkjlTOuRRrosdY51DsHKvoddHbyYaZQeRLMQY71i/cfadCdNdZdtKrzGiS3W2y8ZUzK3NX\ngy2rO8iKFwzhig/cFiEwO1cM4VmipfiZdreksEq08LIb0Z3LZVoi9N+jMDtJmQOm7YFBiKOs3iH3\nMeT5HC8LMEUGNkKWqLFo2rMKq7anZFgib016j/K64Qhw+NlIQWKw549jInrS5MxJ9rYsgCk8qgpG\neH85PhYdNh/9rN3bxOq+jCWCEtP1DmRThGF3zGXWGXpySL4kqe+loUOHYsOGDTHXrV+/Hscee2xK\njSKyi3j19VSn8RaNWqzIRhmuH6tdkOKiIBxIIiPzpAcVUS8R4W0MMzy+I7sALYgGXHpObkSpqbCn\nxhD2bgDm1F10n0NhcsZlIcYKwl6eE0HI7b/t48lrkl2bMqFdsce6DBPQTVFc2OTcEWsnotM+Jmwv\nU3qiKgt7ZIodwakpYVGTc6HJcH5ZQguw93U9NyeYRGk7hD1RGapkkLZ0NakYw6NxwMwiKc/s2muv\nxT333IONGzdizJgxyMvLQ319PTZv3oz3338fCxcuTLedRBeRqjp17nBvOX5m8vjRjXK5TOIFwknM\nwnMQ416y0TVdgRyMhaP1gLDYOfUHebjMlDPmxgCVh/Oz3FUwhM3hrk2FAS16ZIHlkMnt6iO2mKhA\nyOLw27lzzHVs0z6O9DQ5Fz88A+EyVBIZCGJxIdHSE5SC7G4+pb0yX850xvyEZyfXy3w7iaaKexxx\nXifIRXqztjC6tkmUS9hW7cRY62W5Kxbvpfj/9u48OIoy/QP4t2dycAYCRIkaXBZMFhmQFNnSBNQf\nyCEqsgoCHlFQYAFBxVITBRWBrKWiGNEFAUERl5UjIiKIWKtoPAoRQcECjyAMoBBCuAmZ4/390dM9\nPTPdcyQzk5nJ91NFFZnp4+3OpJ95r+clCkFQwezWW2+F2WzGokWL8PHHHwMATCYTcnJy8MILL3Bh\nznqKZKLTuh5TL5mw3vFCKbv30vZGx1ZHHLqGl0uuqpJSo1IycUgSkOJ1WiUINU2SV1eGK4DZHe4H\nqjKnzF1rkWsxtU75eGqmD+Ea9QigSbLniZQmRUAZ7SipgUWCkjZJLncS3M2Y8nXKgSfFJDezCSHv\nm+LKJCJBqUnBI1P+eYd8LmWhUCXgKP83m4CztQJJSZIanJU8mXYhX5sSWJTzqPfErOSChLritxly\nc6RRE6C7udZPwBLuGrp2PwA+gdyI0WcxXNvXRTw1MTYWQaezGjJkCIYMGYLz58/j5MmTSE9PR1IS\ns2GFQyz9YagBxSGCWrspXJkdtH0uStBLgTxxONWVMcRk1m5vEGxN8hNcCTTJrsSKZpP7IaoELaWJ\nUm1ac/XYKQNTTHAN8oCy0KakjvZTlsUREK7RiXLZHcokZVcgSZHcC2m6a5ruMjudch9Z0yT5nKkm\n+RhCgmvkorytnKNSQtMkd61U21+laJ4qT+qWA5bwzJWp2U5eSdnz3plcEU7py0zyjkI6vzPAeMVn\n7bw379eFEIapzwDP4Kisuh0su8616ZedEklIY4xOnz6NXbt2Ydu2baitrQUAOByOAHtRPEoyRf8P\nXgAec6YAuRZl9xpVpww312OSJCRL7onHNs2+Sl+Q8nA3a2pogFwjc3hNP0iSPP9IlJqXUg6luMoi\nmUpfXpIrubA8QVuofWveIzxTzCZ1pKHN6R4ab5bkUYxOIQdfCUrtSz77ebu7jDan5zQIdWkX4c4K\nUuv03M7fPEOjRMB6jAKWN72+Un+09ynUBTHDkbmG4k9Qv3aHw4HnnnsO+fn5uOOOO/DQQw+hqqoK\nf/zxB2666SYcPnw40uWkMBOu0XFGIhXI/HWamyTJ5xu4yeSbaqnW6TnXy+bwfJibTK4RfybjpLZK\n3kkhufvhAM+HuBByraPWNb5duJr+nHCnhFIetHbl3HBPuE42ycHY5pRXCEiS3MHZ+z6YoDSpuleF\nVvr91OCsKZu2nEmS58NfiXNKP51ST1UWAbU73aMPbTqfAZPk2fznvUyM3v0MJJiMM1qeuSND+yyy\n1uWpMYxkBIIMZq+99hpWrlyJiRMnYvny5WjSpAkAoGXLlsjIyPDJDEKxz3tQQH3YHMYBypu/ybPa\nrCBa3g+nFHWUnvxQNpt8H5ZCZ19tOdVly4R7hWgBeXCIwulqzlP6rZQAKA9zl7dXypuiyaivnlKS\n1OVclLIo/WXa8qaY5MEjSpVPqUGaXOVU5qhpf1/KUi9KmbQP/2STcm/cQ/eVAKvU1pTz6PVnKV8U\nFMrvTKmJegc3vZqz92uh1pYYkChUQXV6rVmzBtOnT/cZ6NGiRQtMmTIFEyZMiEjhKLKM5v6EKpQJ\nsd5NRr5z1AIfQ+7fcq0RZlYyfHg+PAM1k6nnlDRL2AjP2o92hKUQAma4mzydXoFLrlHJAyLsrlGL\nyuAVIdzBRmjOoQSHJJNnJhSFdnkd7T1SJoM7NM2tAlCXckk2S+pIQXUwi2s77+Zj78+AHEQ976Va\n+9T5IqJs7z1E3/sYDE4UaUE9hqqqqnDFFVfovpeRkYHTp0+HtVAUu+QRb15NZCE8qLwfatr5W/4m\n1+oxaT693pVDvZyQeoFSHkTiPoZZM7dKm21eGUnpkSjY5J4g7nQ9zJWRkQA8UnCZTJ7nUDKHKGXS\nLqGi1nw059eyudoRleH06nVo7ok2EJtMJvW+BnN/9QKcfD36/VcmSfIJdOH6okQUrKCC2cUXX4yt\nW7fqvrd9+3a0b98+rIWi2CUBalqluvJopoLvsYyOrc33aHcKdckWwN3s6L2/PPFYqDUVvfOY1BqF\n0tQpZ8fXDvRwNwG6y21yvSe5mvKEEOrkaJtDPo46DN3pHiWovKZkBZEDjmfh1P45IWB3CNcoSVcN\nSF0uBurxHK4h8mqZNMHE+74Y9YFp/6/brycZr10nSfq/t3BMLLY7Auf5JAqqmbF///6YMWMGDh06\nhIKCAgDAzz//jM8//xxz587FXXfdFbYCWa1WlJSU4IcffoAQAldccQWmTp2KrKws3e3tdjvmz5+P\n999/H5WVlbjwwgtRWFgY1jLFC6XGJNc2IvPNWK+fpT70hlwblV2bVsl7ZWOzSfJ5MCvNkdpmNn/U\nhL2uGpG2GMoQeW0aK+8AByjBxDX52RVgtN1HSpOsksneiDJ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FdAePXLWf5o2MbDawbpGU0WGCacRSQuvGZ+SDII1rCeg6uJyt90XC1yOHyxad\nRlK8EWj7EfJ+bjFssGHyQFtV/rlkPnnw4BFp0SLrtVdD3JXARYApIk2NhMr/bhlC5Ra/ZrOA0JCL\nA0r2sv6Uvec/+X4CC6CL1iskU/J2iAQ3/FkGSD6CaEcbZLWE7R5ta2yasHFC757cSniu2gXgVYuY\nfB2yZTj06KGHTSIsGnjtTfLxxscSnxFKAlAoFArfifML9+ufl9+w3aPnF/Do9EpJJ1Py7XvtEkuT\nj6qZuPHPYuGLekT9hCzAvvMFQEEgJrRtMItwviNPI3LnhDxMhMMOGSNi7thLNfgWPZIL6cYBGSKm\nPdY0aKj9OboBWfrqYEZX7t8sp4dpAlOfKGAeI0zANGHLhScmIkhduaXvNCGYz983FVU3YP3kr8uy\nTwjUwdcENy2Wgf2Fn+ql8sVEVe1mP4dIDtnFgl3vY3uqngQIyHJJVkWZfDlQNtc4jNH3GVT1lVOg\n1bNfQozoEMk5Y/sBjdev6xIRyKsV1tSEh0+QfC2IJEX0yRb719dg0ZI/9qIbBqm+f++rp4SSABQK\nhcJNUvLAf/8R9L1vtzND7j9CDn5yh+uyMgLWeB/fUGzReqk5eu/fmhqOjxEEeXx6VcJmjHAVhAUR\nw6LNm/gyMsSrICYA3UBeD55cDIM/B/j6392WfHzs4r6cvIw+xqvgf6vtH/P1Y954fL/Oo7nsniCa\n+/EHcYfBaXKjoaAuCtQVHK+xZNjRkrxeo/3gpf6jI6945AxZ/N5UipiPJlIlZEyehITZ6RCwrvNR\nxEUDOROm6JUBcJ1EnNzMqKmQB0+QswvXDGhA2oCen88/h3cTuo4s+ObBy0VLMCdTI9QB/advUv3z\nt5h+7L9in/0krJb/iTfS009JAAqFQuEGcn6BvPI64fW3vOfdNj5+d75zlz/1Ur6MbppDFdBd5wK0\nResq+5RnH/oFcrQhi7hgbVwRMLcErrKL4mLyrXVti23WSGih7bH1Avb9fFH4wh+D6aU7MAyE7d4/\nJcBk6G6PVRWiwdX7+dY+vXcFxZuaQBQv1Y8RIUPdYv0BI7lZD5D7AzqZJz5pdIHf3TtYTF76H12V\nb4saJl/zK1Xjewq6HhvidSIyB2lrAmIGs//A5fif5IzleYHiras2X5q069FxvNYMpMnvMbMTYX7H\nqzXg4uDahBR9cuCSNN/eR2dwOMDRBn312+TNGvt0SQAKhULh2eHeY6p//KbPsg8jOZuPyLUNonrl\noEc1eJn4vc9sAAAgAElEQVQ9RRBBelfhX5nR2Fw2f3Tqp9TlClmvsWHw8v8Atlp5r7vvfHxtmDUB\nCcLNM/rl/F5M6HaHDv1VVDfDjYOmyZOBEDz4ty1gV+uF5UbQu2WCO7fxyRE7PXMvfjNs1SJZsEXl\ngsXFAnR2MFTxwH3o/EQeJ9/GZwkJDdQKcbY3vnvilsLDDYfDcY70MV23KObZRMvM1ZF3DSz451Ly\ndsBVZjNvGawCmr0aIybkYeBdNj/deL3a+MatvbonhxHrTglAPtrApz/xPbxhPrqUBKBQKDzbHDov\n7w8jFmr0X19Dhskd9XYHiAk5cgGZ3d1gKWN1hbQVcr7D6tpP+/3op++68uU1vQe9y011liJYJG82\nnhwMgz8PEdZLFw6GANOEkrx8PmPga36n5Gr3xRLiHpJdB0nF2wExQaPeumgbrKpIGqhOn9xKAi4f\n1x36xK14c/alOlNERLD1EjZH7s5nA1bPgTdmT0i6g7cGRFz8N0dxTQmLCVtW2OSiQ+wdVYegSLo9\n7keeX0zb+FTELVvkS18APOmqFIvZ/Q3aCj72AvbWA0+u3FzxyrnwvSog35G5IhEOPXG7+4H2CCgJ\nQKFQeDYxg7Mt+g//7Itu+tEjxX4HcYJD7+XtAHLoXci3aLD1Ah2TW/0er728HScPmEEhT+RHF6io\nC+HUAx3nOz+BjtPVhj+GATkMsGph0SIx+sk/Zf/etp5n4g3qClm187IcX597a2TuZmyfT8I2DNAE\nf87VGtvvrzQAhOBLeIbRHQinOHvpZ6hn3UPXY/ce+jiizuK7Sv2EHwS6yf0CDCBhiwbpe+/Rk5Hd\niC0nFwGmG8I7YRYZjv6cNrv/CQxNRQrGKv0bITtmCJBFseUSEOy5EzdUGkbo+tvJxffylgBoK+xo\n6ffqH78JP/7DcOfOv/ORPhqUBKBQKDxbmHlJ+uEp+srrhDfuuSOfmXvv94PL7q9O4OpCuLb1+f6q\nIlcVOkXkYu8n6GaBtYKZoWNEF62fjGcRG9kFeZrcByBH8yU1eT4B94Mv7VHxgBgUusEDowb/93KB\n5UxGUATaJejkhjfvJGYYXcAo3egK/1p9Kx+X/XYP+hpqSIlMYhrds991dW5VrIceCZW3NnJGFq0n\nBGdbHy68nLGHeTTQqxWXIkm72Lm+oGlcuJjnhEEFEfW1xXNHoK8rtiGSUcSMxaJGx9s7CC5P8wZu\nelQF/1l1HbmpEBE0Bax2Q6H3Ovrf/JDVlU9uXP57iND1hKZF9jvy175B/sLnfyCNgkoCUCgUnh36\nAbn3ED07R157m3Dvvu+x7zsvadd+4uZo7fP7w+hCwFDB3RPs2FfuyqMzZD/70wvkOmA/9DHs0QWK\neV8/ZSwo+c6xz+ufncP+Rg96ylAJEpi9ApScRiTWmKh/UeVz9Varq9fXKxcTPnjilYBheNdLFHBP\ngNFn60muF5B+8lO7y/c88Kq4V0HbMI2eSGgFuRsIjbmWoWp8FG8YPMBXAfbdLJ7zUHoVUJN5FSAl\nTxKY3Q8Ndxg83mCh8qpHNVcwLIO6jmLMkeUAhxX0FQQT2tWKLIJ0vW9RvIG3MMQNgVLCwgKZMjZF\nn7a42Xa41C3Y7e/Piwax5LsOpuj3vp8wO0cPezDB2gr7yf/tB255UEkACoXCs4EZ8tq3Xd2/65B7\nD6420eG7azygxYl8toVlC6sFSDUr2/3En+PkRjYakAbIidAP5Lcfk443MHTeQhgm8mYJLz+PSXaF\n+Tj5SRo8+AnXJ/yYkCEjDC6YW7Y+mldXmCqpbtDlAo7W5MenPs//HTrbMpfPRfHTsV2emj30Y3Y1\n7eeK+4TmaQ6WNab+zRlBgiB99IQDsO3BH/fGswtzVUH95M6yxVLnavzLL0rAvsPaBVIJkZqUDMvQ\nZFCMJTAKVDGjCKIVcdnCqiU8yXDRXb/iupqrCtlXDJshw0RqGqq2hXpOGC61AIvW1x1P1x/LdcCa\nChsU7QcXJFYJ9gnZGiwaNFTo628x3T3Gfuxz/8k34dNFSQAKhcIPNlNEnpzCvYdU//QtN6Y5v0AP\nProHA9ZUkBWZ0izQm8hqcLRBtPLTeXCzG91FRINH1xx9dr8CWS7QOGHThFiCVeMl/fMduttCTt4/\n1+Dl90XwdkLG1fMpXfesF25vy7Ihh5p89xgdo6/3Pbtw4dti4WY6U3q3Wh7vsXvkn0/9Mc2rdG/Y\n49q1J4BSoyQsTlhd+yx+CMi+m0cNuK69Z7zKkIws82PVAUzQFLFdvDWKdyXCyxniSN4ckw4jqoLG\nhM0RucbzolUCViuq9YYsGUaDPt5+nZdjk/v9vA1xQM8u0FBhdUDS5NemillGZm+By8oEgE7u+WCZ\n60TFZHYuNDgMiAwgQvX3/0xCyJ/5oR8Yf4CSABQKhR9cuh75l1cJZzvkrfvI2Zmb0czBX5rgZeuj\nDTYNXiafg5kQsH6EkJFcEyT6NjwxsghqiTxlFLw0vN2hlnw5jlYwRjQPGHbLEIcUsaZGVg1o4xUD\nqQFB4rzxLk5Y02KrjW8VXC2vT7+qsN74trth7rnfeMmXwTY3tZf+p+mqx37JpcedTdFL8a6nw3wT\nEGGCfOgJln3DINwuNghuAMQs5psijPN4Xjb/WL7RV7/8tmze9z/0SD+RMj4loXKVnCxEYDJfhpQM\nzRGG5DsXcvSfl4KpkaeEnszWxeN0tTtAdwdP5FTmFoP4zgOVq9P/tTHS9ZphA38Mu/6YGOTtDp0m\n7B8UeXRK+t8/D+uPfhJQEoBCofCDR4zIN14hvHUPfXCKBSEcOt8BX1XXI2lh3n63dHEfwxYs+Ux+\nditb6hrIPn+e1NX/qwXECZWIxdHV8pelb1U3q0nRn6f3krNVAvXGzYGYlfyL2r9unJf3zAHUNMBq\nQQoulJPHZ0gCGQdMA/bCXfIwIHXldsHzy74KtDofYu8cobvOHQ3fwyIXIJtdJQQqeMshJbSfxYU3\nZ+hCwNYLTAQ5382PZUhVeZ++VtgPnhDUtYsp041xxgxohSwaLM2CS4xwc2GRmRctxglb13BjqSJ1\njaXZa2EYCSfHXsVZLpDd3kcg5+VBJszl/vkF9J0/ftu4XmD2Igg3Xp7BPMnw7vFDGyfC2TlRFf3a\n17HPfhbbLODOyXd/Lz7FlASgUCj84GAG+z36P19BX3/Tx/XOztAp+pjbHARTEAK+O95UPahWRq4U\n+hFNQDOXgYd+XpNbeQRrK3QYZ6/90U+MQcnLBdJUSC/YlFxwlwwmD9pyiLCssbtHyGFwt75hwLRC\nMl4lWCxADFstEAM93aK7Hhs7eOlFX7M7dnC8hufvwKMnVwH6coSey0NvnqAbsOdOsCeGjpO3Drid\nBOjN6kBTkdvWlw3l0YPrTdGcGnY4IPOp2bUCAatANkfYOABz8FTgaIPtD24PPCYXHOYIXaJpBEvm\nZfiZSy2BVIFUBbTrfOpgu3Xr4LqCtvFDelA4dFgypAIzQ8bZOrgN/l4Iej32mBJsWl89/E5PgpvP\nP43k9Ro5dN4SuvycCHboUBPIidwusedOyBo+sl4BJQEoFAo/GIwT8uAR+s1XCK++iW73bkmb0uxP\nI/P8vXmfeNGQN0t0ilg3oEOH5IRd/s6fEtLvyU1Agi+/MSCNisVIlbP39MV7zBoTeb2C9cZH88YB\nj+wQLsfiDhPp7fvYZuNtgBi9WtAopg02jciYkG70E2dT+XWcb2GM2GblK4Cn6NsA++sRQAHvw0+u\nJbA+orbHjlbktsFaH02UlN+VBBB8/t+SYeITB5JmzcGNL5Mp33LXkwyWEqldoCG4e+KyxkLt0xGh\nRurG2xbT3u/BlOaJBzwxew8kBKoEOUYsC7JYQhWvs5cYZy8ERQSEBmkaLM4OQEcbOLjngVwmAE3w\nhIN5y6F/o9s2p2uhpA6ZPOzImxWSDuj87RZ9NbMOEbOENC0yjmTU2wGqcwvio0NJAAqFwkeb6Cd7\nufcAffVNqtfechV9nG4JvgiVl6SrgIiSs/gJbzJC7Ocd8vNIWfbAgIGOCRYKw+Q++aOPrFkffZZf\n1cvJYuih83aCMZv5gLQN8vDMr0EgDInEfi6DJ++Xh9Y/WVXYGiTUcLH1/vRuC0C+OPiEwnLtHgT7\nA1Yrkszn7AF9h/AOUXJVY032qsEwuvmQzkZElrHekwIPiEauBLpE0DBH+BuPx7vnDsS850/fey++\nqpGgpOWS1Aaa3QXpMJLyQKAl5AimaMy8k0txogyjizdThmaa7YfVWxAxQR082KcJW66QaXIfhdn5\n0Cr1CYE6w6yTIGWvQiiwXM16guzVn3csSAp4AYGmJi3XyNgjl3sZVJBhRO4/xHJ2D4EUYbPCXrj7\nkVonXBKAQqHw0eXBY8Jb9+DhKXJ2jm53yNn2ykseuB4DyxGikWNG2gZNByzV2HqFdpOfBOdvsfk/\nfqquMBPI3mu3OPmCm/XSH7gfkKONl6eHOekINpvUCCY3fs1eTsXFCKMgOZNj5XPzVXBl+2JBDjWW\nEuH+o6trUiB3E5IvsIDbAc1Lc8CvNVfqK3LnD5jo1SghgDx84qr+PJFWK0RrFz7CrPSv0MdbWDVu\nhfyO4H/591s9c4EwjB6sY/bxP10gQan6SJ9GInsgE4iEsKAxefeDCRDEvRUMJOX5R2fIkHxVsQbs\naHHdmsnJe/9jRFYLWLS+yKhpfF/DkzOoXNZB8raFZrDuQL4cwWwCMt4WLAp4BSclJHRI3XoiEpPr\nD7rB7835OdX+QD7ssRdfwLY7+NxnPzJ+ASUBKBQKH03MCI+eIOOE9AP65By5uLi16c1Hz3Dh3jwa\nppfRHXXzF7uckMcd/5KPvEme+9GTq9DkRqBlGDFzcaCJuJI948FWvUUgq8aV531HfO6IcHpxnQBk\n/NRZ+cofd9qrvEpRV6Q0omRs2WDdbac/IXjlQtPVJjubL0wkkIlorS62C4KcnnulYtcju71XQRY+\nskhVudfBoffq9TC5IDDmK5vhdxa17R3/V8QD6A3BX2J2M0zGaCPZIgGlY6AWoZHaE54quGiw8kBM\n3aJ9f31qv3yuZesrh5cLtBsw8bFG62fvAhWf3qsEsYgc3cX6Hu26y4u83GPE5fIjv++GdcNtd8HL\n+2zmrZNs2Di4D4LMFkri7z8ZB3daHAasm5CXnie9cAdeeP67vHGfHkoCUCgUPnrk7H/6AXnw2PfC\nj8PtNa/cCF4pg3npHzWIiazip3YR/82/rKFdYONEbhrC4YCmSMbn9g2QOUHwHCIhocaOl+QUETPS\nJ1+Gi72ryBctrATaysV3Bw8UmJe5Lc5jc8lgv0WqAHkFlt1Mp27gxefJbz+87pXXfpyVvvc2RFt7\nqbsbPFlpApKDG/6MI+RAGCeviLS1n5wz0PfkqiKGgEgmVIGQkwfilN+1je+dZf+b/7aYvNURs087\nBF/xa9lQyVRVw8H2WIVfzySIZTLZzXmeX2CL1pOaRrG6wtLZ9Xie+N6B3NR+X4J6ktDfSBJsnqoY\n3H9B9zvsbOcX2iyRoXfnQ4Cmdr1IVc3rj6/fK5fndgOyqidk66WPdRK9zdD1SEiehJzvoaqQad5n\nEAR5dAd7/rmPhB6gJACFQuHpJ8896n5Avvkq4eETD367Pew699Lvx6txNnhH0KrExW9N8HG4mFFR\nouIn5+O1P852h9YB7c3L9CLuf6Ou9CebR4lkMGUsj9ArrJbYZuUJhoF0PXqxhyoQ10uqQ4dUgt04\nzGsT5lFBm219IzZskbbz4EQmh4AsW/e4z2lemCOg7s0v+Mgikl0oZ8wjcIrEeKWBMLjyDLj8QASs\nrbE8W+3n7BoCm26Z+Fz9rdJ5MdG79QCWEraoEFwIJ5NvUjRLrGIF4YRp6pAkHNnCXwIQMex44xUE\n9aqIJzUtrIO3N4KSnj9xt7/DgTxMvgvhslqDfw0hIGFO8vYdMvb+JF3ns/zMkxJVIKcJrRRu3BK9\n8boESE3l44UxwsbbMtr3PqmRImwvIBs5RvxNochFh7z2NnZ8DM/d8STwKaYkAIVC4eklJeTVN5H7\nDz2gdgOSo/+Sj8m33dUB6cfr3vd7YMmQeTLMYvaTd12j3YgtGy99z4p6GyIeHn3sTfI8P5/TbMRz\nWUoWPx0PvZegU0IvDt5cmKInEGaEh6c+QhYz0tRe3q50tgJWf8AbtXwZJr++oC4SbFsXlo0j2Djb\n62ayKiFmxAL5eINlQXNyc6Eb4j24Xca/7IBMCjlAtVy6L0E/kIIi5tsHJdrtCkC8vbr3VmVABBMl\nS0DTBG3r9+vQgQqrXENSgt0OsrLrfGHRcuWtlH3vLYmjDWAu/BsHdD9g2s8rh/GJjvUC9r3fj5jJ\nqwXSNC4AtQzNAt1ur5cSCdjxmnx87LqC0/P3vD+X98iWS3JdoUOalxwFUrJ518N0lZwwL0kCwZYN\nGszfD+dbrH7uqdYDlASgUCg8nZghr71JuPeQ8O23YLtH+96D+GoBMaIHX1AjIXj5+nIE7sbDCF5y\nJ/qOeh9dD775L0Wsl2uFNzdOt+qOcLceazbqubw+300PKqML4EJAu8NV+drwHrVtlt6znl31JGYv\n54tilSI5eeC91AgMEzQ1ulqRj5boEF3EaI37BEzRl+wsl9AuyKsGqpqUsi862ndXN+HmyN/Va6kr\nlikR758iywMy+VgbbYMdreD8AjQh2YV9l5WVyxTrXW2BIEhde0Ac5wBZ1/4628avPQRSSldBxwDa\nGhUlWfL5evHkBtG53N4hlqEbfByvrhGyz94vl1i79FZHXaFHx7A/uD9AN/la4nz9+kUFaxf++kzg\nYn/9VuNqG7EH/7ryVkNKnngNIxIqJASoFBunq7cAY0LaitzWblQkNdx75G2QlOBjL/mI4FNISQAK\nhcLThxm8fR996wHy1kN4vEVnJzcZJmR/vRRGwAPMHOVMgKbCxjgL/q65+jU8K9yt9hOc8B7VAxEs\nX/ahmRvDt0vjV+VwmU95+/0tm9mr/+97btrL+vebz+0HJUclTN5euBrrixG52GGNugXxvGPAMt73\nnzcBWlPB0YY8jgRVGCffYLhs5m2G8xPWYRbq+YXJaNTg440qro1IiZy9ny05XhZCrm9eXTENbrZz\nc9hNpowtDKtmgeK8WZC2dk3BjZG/y8FMFy5WWNejh4MnCv3gyvxx8n7/NHkQvRRginlw3iywxQqa\nCjp3d7Rp9lTQGhn2LsycEzjDq0DkhJxtfVPg9uJdJ/9ps4CTIy/zP3wy37/550T20dJRXbwI/jMV\nxZoWaiXv94ga4XTri4RSIprAx154KisBJQEoFApPB+Yqa2JE/59/JDx4gjw69Tnzw8Gd/CoP4e95\nqhXIiwVUgg7ju4L/u57u0i42hHknfPJf9gK5bdDxRsP+5mPNei/m7yUmF/fNB9j3KieLvcfFqGKL\nmlxVaFVjFztkijdej5KDEPbzquKg0PUeQTMueosR2e6QoL7vwDJyOMwdgIBUngjZZuEjkFO6Vvlf\nPw1kIdcVEODQubixu63EJ8OYIvfvPqbtMut+wZqj69d7cUDHyX+O7bwIKY3eq5/vl6HYsvWxx352\nU0yTX0SM3vvfuXaCaYJoVzuIgCvzH6tq8sdfQMYE+z2SEjqO5Cn6FIAaVC12KRSsBJYLMNAY4dDz\nnjnfFGHXw+7g93pOmGyKoCNSBx8LHScXnNZgdQt3j4GA3tl49SRU/rrefoDmeXdB08LJxicvnhKe\nnispFArPHk/OCP/yGtKP2MkGG0c421KdbZF9j3QdloU8Bw0N4V29aMCD9mYNyyX65DFM9t7y9RnL\nkI/W5OM1DC5YAxeixeMjD/6XJewbPvVXY4WX/7hc7Ts76b1zSN7ecaE3/5mr4D3/usZq8RN9mpOQ\n4I6FkvJsYBTnXjPzoiK85RETLBvfCnjYe4l6fn7NmRwUjldYzmgc0QBWNcg0m+s0tU8PmKdUVgmS\nxNsBMfrP5fIlCYw6spgUqSvylBlSZEF19cJkFmuairdYVmtkcoMlDJ+ISMkrJoafsIOb9qAymy2B\nDeOtEYSrAkzKyKZ1s6F5/4K2Czg9g32PDv3VuCbVeP3jaBtkmPyehcorJP8/e+/yI1uW1/d+fmvt\nV0RkZOY5Vaeq+gFNXxsh+fadIYEQwsggMUXCHiAGFo//AUYeYJmBLVvygIFhwhwxQUKABEhICCQm\n6NqIdhsaaKjuqlPnlY+I2M+1fnfwXZGZp5o2D9PV1dz4Sa0+dTJOxI69d+7f6/vgfoJzd5uMC4QZ\nliPW4v66eS7roJyhqvFQgKl1LJMLqRbYMEDdQhIYUloFO6yTdLC/9RgeXX4sWAKnAuAUpzjFNyb2\nPfUf/YkU+A57/M+/JL/7wwE7jMWQJ2NLIjcNrLti9vLVXTYh4AXn7XVNmKevAsF9uBYIuwPpk28T\nx5ccDe7NwXY7daIpc6eyw+vvRXk/nxZYd7KaPYxSsCuf9OHkD68fQ25qwpKx24MEgVYt5qlw6rM6\n/SYUTvyCL/cfLodBoHaYwZcDRhC1MAa8ANK8Lvt3j+RgHD19paoXNAXZrDFEiQwY+IgfhrvCx+qo\nlcS6wybohpGxTkyVEah0nDFingVaDBEbJ3KlRGtHueIY5J6YFmye7sF5S4YOTQAAcpJYz4PsLK4/\nkkHOjo0D8S+vdX2WpKTeD6+tXryAGDnfQAikJsBZYUpUE7Zu5ZXgr69zvB/uxaMeXG/WDR5rTYCm\nSVOOuiZbFpDRDBtGfD8APaGu8RiJtzv86Uv8/EzntK7xrvtYWAqfCoBTnOIUH30cBsL/+iLh3feK\nU10x6uknbBrwccLMyGaF+340dFk0Ql2W19+vqQgLpFUHGJ5uXqe9cV8EmAng555htxPnfbhPHmFx\nfBlexxg8CAetItZrJbwlFUoYMqQ5vg9fXXS8djyHEasCVI2SxziT2w6ziTjIRtjmjJvjdQ15xqLh\nBH3+sTbZ76VP0MpZ0BeDroFcVPSCYYdeSbJrYd+DOVZJRz9NM7z1mHC909i7afCluAdW5TwZsGRW\n9Yp9GoijE9cr1quN9A2y/BZkapTwpiK0jdT2sqvTryqxDZYPnRjTNCREUQi9L9fZUGGXy8SnEgAy\neNb32fcqCrMXS+X79z1OLayr8XnG2ha73AiEucyw6lRUumPvf4AtfvfvAve322vXL2VAMsbkQt0M\nhlkFl2sVka9uYJ4JVg4nALczZlEMli8/1b03jeTPfIsYD9/AOBUApzjFKT7a6AfC//t5wl/8NXZ9\now4xZ0EAxkkgsOR4lE+8pYx71r63iaRghIU7y1scJfF1DXNSsrw4VzLsR8JheB2wdwfmC8Td4TX6\n4N+U9B/+3bF4IEbwTMgLntNrlDm4Bxveoco/dAoc5CiYIpYh1xG/vJB+QBrAAsGUVN2dXPbeNJU6\nx2nCm4bQD1A32jE7cH5G2m4J0WCZsX6SKFG9SMJ4TnjbEOciZ4yDBawfyrpDHbW7w7oRVXGUyFGu\nMmYVZ+s3VKxVDfmNS0KQz4EdBnzQ2J1pwZsispOTRvwWsDqoSFg0oXHAO4EYfZzKGN0g9FiUbW/w\nSfbITQUhkA1CiFhx+rOmLtfE8MN4PwVoa3wrl768PYNxJF7f6PJv1tq0zBnbrLT3z/luKiGthwfX\nPx4LrqwTvWRg0oXerKEvYkvXO8JcFBaXuThIIivofsDnGf56wYqUsH/6HTjf/i2/MF+/OBUApzjF\nKb7+sSzw/JX4+l/8EvFLf024PWCH4bWXeXIh9OuIW1BCqKNeZ0ByIpkUjVA1WhPMi8bFbQ2rluV8\nS7W7xQ8zwSTLy3QPrgvRZIZjjg8jDPPDtf1dvFYEVAIKeltDjORpIaQZ6+fXkr0+4AFV8GvE3bi5\nOMzZHPAY4WyF3WjtIZBhsSq2gDdRo2NcBcg067MKmJAQyRdbQohkMywvhOMov22wEGHdKiENo3bV\nIRDaFuZM9qxJxKKEz5K0iigARssZHyY8BmyZlRTbhvzkMbYTH988yQoZ1PV3neSVMeg6XbdFe3zv\nJQGcVxsl0lDQldsN3nQEFsiOLzUsC95WpFgR6koFyhCxacLrhnS2IhwGLATyoccyolYmrSX8+kYA\nxTnpuo0TYbMu2A27x29QjIAK8cDrqHPQNpBm0THLfeLrCh4/EvU0VlgookyAW8brhlxXeFXWMEsi\nLjNhaeH95yzByJs1frb5htEETwXAKU5xiq9f5AxXt8Q//kIZMR+w/UC4usEKnexhorUo6p1nFyCt\niqRVh2XKXt/F7b7ckrsV3OywttZIO0vcJd7siNNC9iSpVwvQNWUnb+RY4UnmNbKB/WrtgA+HpSQh\nma5TMqgq/HZRF1omCF5VUEfxwaciLGQmV0E0Drb7YcMRGK+OtGgS0E/kWBFZcDPt6B9tye4y7pkm\nIenPz7Ds+O6gMXJK+GaFterqrYrYZHhbAILZ4WylImZasFWrxO4CseUmYhN6TXLSPBFGZE0MEvYB\nGeQcRxr7gTxM+CffImx64pdndbldreKhKZx5GrxtyDV4tybXgUDA1o5HoKk0gj9bkecEdYVNBxn4\nmOlc1420FNZrFW1VBAxfRnDXuZ4WFTEPx/fDgLcdhsHtQSuXDMEzue+lo5BmTReAarq/JwM6Pe6o\ngP2w0+LthPsLYjDyZgWx1orFtCLIVY1fngtwuRtU6AF+vYP1WjoE+4P+V5X1zEcMDDwVAKc4xSn+\n8WKasJfX8N4z7OUrbByw255wdU1YEiyOs4jSx4eSv6EuOC9C45FhGkvSM3JWp0U0wryQwwxdI2rW\nYZCbnxX8lrvAdEc53FiSaV3D2RqmSnvklMlNraQ+zfKX7xp8GGBYHuAGTAj7adJEYd1KrjeDM4p2\nt1nhmw5fdQyXG6qvPBcOYRjkU1Cr6334ve/WA9nxqtJoOBqpjnjb4N0KX2/Usa9auf0tSSPxOpK2\na7yq8SURxxG7utUI/8kjWK80+j4csP2I54XYj+ruuxZftDu33UDcDxAivop4EwiL9uYeTGY5KUFb\n4wugJZMAACAASURBVEvU53dtwSjMcBjxZSFdbmGYiHWE/UGrnZRgmEmVwaPH0K1h/QZ5mIRduNvz\nB1jF0o0v+PkZuT9gKZM5+hqU6VBGxdHZGutDoYgmFXLZsSbiscLmSQVLMIhVmbjk+2sayiTBvbAT\n/HUXSVSwGU4+dvaAVZrwGGXtEY04zirMukZU1NpgMeKLV6IUpgXvOjEuctCkYFzwq2vs0++ogNv3\nujc/wjgVAKc4xSn+ceJ2T3j3Pez951Rffp9wda1uPScpqmVR2nye/0YOtphoeojaMIlhFwIWA7mq\nsH2S+h3AMBHeXuM4Pi4YMouJfQ+zq+Obl3vDHXdCctL5SmI1u0Wj6XEGL7S6riVvNlhXk29rot+K\nNjZN4IEcZb9LSrDL+DwrCXatOlRHCnVvPMI2NenxI2y3x55fwfsviLvDHTggP0CYC+FuuBv5ncf4\npC7YzfAq4F1H9IS9eFXMgxYBA93h/Aw2W6xe8HGUHPEyY6+uyHVNvN3jQ09Y5FznZvh6Ld+DtoLF\nidOg7jNCWrIokTkrqRZsBinpPDUVPgPDSATsg2ekTQvjgN3sYdWUMX8j/4VizmQEfJyBA5y1wAyx\nxsOCJyVVm7OElDDR7Czg5xsxQXZBDozLIjW/ecJc6w9ipUy9uDQHxgWqLKaDGQwT1hQfiLKeyKWr\nzzlBVRNvezzqtjyCNxNl7RFime4EFa7TrM9xw46y0vOCBSNbrTXIUhGmUauredHaJZVjP+ylbrhZ\nEfYD/uwFXF5gk+4nNuuPbBJwKgBOcYpT/MPjKN6zPxD+5xcJL19h7z+TFO00a5d9BNmFAJY07pzu\n9+6vAeViQbj3kzr6UBDXw6hx/fH1htzYxoR7knf94SDwYMpYE8lV0MP4CP0PCPiWFj1f57L3nWZ8\n1coMpx/IdcDaCh8aaGvtkZesh/a4AHp401R4rMlna73uxQ0hL/DBCzxA+sRbhDffAIuEq1t8mrAQ\ncHfZBg8DoMkEIUgL/9VOaH+LBM/QNCyXGW/ae/bC6pxgTl6vBD7sD6LwZceGXpiIZaZaMrlrCGMi\nTIMKn7zg8wjByckJdcCDph82jtAf8O0GSwa7/h746K5kWBQI7zbWDvblZ6IrpgxTjzXH1YNBnKGS\nzDFzAXveFLbB2RlUndY4aYC6g0mOgFSVuPP9gB167ckdwm4PtoOuJV9s8SXJ5nkOUINVHb5ZwzCX\nSUDArnZK2m1H8l62wAFY0p2MA4CFmtQGlhjwbkXY9zpmjFAHcruCbcCvdxKnWu5lnT0Y5hBHcTXT\neQP7WWJHoGIoO77bEUIEnPjBM1LbEP7kz2TKFGrsk0/IqxV826c+kiLgVACc4hSn+PvH7Z7wv/5c\nD7hgMA7Ew6ixej8qGS/5jsN97KyIkeCiT/nDnWqMd2I/ht8ZrOSjbG0T74B8dx3zrhdgLYTXwIRa\n9QfsbA3DgoeMzQWlPxw0/sa1v5+FtCdGWdIuWQyCWfgBUsKrilyBWcRyeaBPEuaxZSh68DVmGbu6\nwZdM2J5h/hze/0CFxjAo0VP85Dcb8ttPsKtrSd1enoutMMh3PvY7of2XRH21Z3rrMXa5lepcSvjt\nnmAjVDXVzY750aV26+OIjxlWGYal6NiPQvMvSwHbZVi1xKoiu+O3va4JGoszTJDtfj1z5MY1NdY2\nZC+j8lTOQc74mPQZ0bFDxruAp1lde11p8tOtZJK0Owh+cDgU3EKFjYVdUUvcKOz3GKaJjmfydPwO\nGUuLJh1NA32Pb7ewrXX8VRT1sdAWLekGNAv4OIo98vA+dvQ9QJ4SC9DVWFrIlglWrte84JtAsADb\nM+yw18g/UaZbTjYKHgXs+VWZeBzv16jzV9wObZkhlJVPZ8LGnF/gNzuCO/lwgM3m/+hX9O8SpwLg\nFKc4xd8vhpHwPz5PPIzSYb/ZS1/dwJsaWxYp6j5A1YUgC72MEZZFD/uHuvqG6Fxj2bW3WT9vG9yc\n3LbEYVKHj9gCNgxCw+e/YZ8wzvga/J03pSc/J2wa7xXvYtSouyQ370eJzDRRXG6Xrj3bjT7v+StC\nFcQCWBYh6slSCwyG3dxqGjItwiDc3MiiuIoC5tm9AE9eS8PeouGffhuPQpiz6wVuC7W87kOAptYo\ne7MmB9H1fBj1mfOEByPVFeH5S607lqTd91LOUaHa5XKOvWsF6DvfCIRoRnp8AV95pnPZtfh+L019\nEDhuUtb0YKLqVQGswQeXLfHlORx6SAO2F73P/KBxd73GlYFVZLgXi2ITTS/WsDnDr26ww0HqgVau\n6bJoYpMzhKjr3dTSEViypII3K6wt4MjNSuDLxSFlYSqmSUOqroG+uD1yXwQYQvw/DBtmfJqJHu7u\nTY9lHTPNhGGEw1R0EkThFC10wZGeQ0gOq5Y8zQUQ2RSw5oQRdXw5FSrjoknOYZBU8PK6k+PXM04F\nwClOcYq/exx67PN/Rnj3fezVDYyj6FWg/aoV8ZMHD1Vxwcv43maN6Hn9GedZYC82jaiAZtiq1pg7\nm8bh6zX+wMEtuNTy3F/n4AMy1ckJ73slcnfC9gxub+HQ3yHzjSL64olUGaGqBGwLAW4P5JzvLWZH\nE/AvRryr9X1XHfgC1/PdF8oAc8aOYgWgxNfU+KpTUTJOSnSPLuBmR/1eWZukTFq35E7eBF4t+Pkl\nfnEupP6mE7WxH6VGd+gJ2zPSqsFuD3IGPPoEkLGq1sQgL9ISeHRBqCqNl7tOI/ksgB8xwNDD+Zko\nmLESCDOqg84EFS5Z+/RU19BWhDKpYBzkCrg4PiRs6ZWUH53rveZZdL7j2sjB64BdbPFpIvc9IQZ8\n3ZD3A3G/U1KMEapKVL+csSnjUeJI3raEcRJ7oApYNHKCUAWowK3Gl1kFZhXulCT58P0XTWJKFHOo\nlPTntAhA2Dbq4muE3g9W+IImHYGuVTFciwni/aBplhVw6HotJkm71sqq7fA3zjRVut1jTUeOmqbk\nx2e6rz6C+FgVAO+++y4/8AM/QF3X2IP9x5MnT/id3/kdAN577z3+03/6T/zBH/wBu92OT33qU/zk\nT/4k/+bf/Jtv1GGf4hT/dMMdbm6xacFf3hCvrghPn2NPnxN3cud7jUN/RE89fAsecuQjXjt59rs9\nstdRPHUz/HyLP3+Be1bHOJcdvid1gV2lDmlR8j+6+PnDzzHIJuMcS1nytjj5xglVhHEQnzsKHS5V\nQZMbX7/TuHil/X9wx/cHqdBF1456vRLtqx8IDna1v+u0HxY2bhFshlF/6VUNsSL0A/7oQuC3eVEh\nZSb63JywaMzvfELj62UhX2zh5ZUc81ydP9s1fnC4Xcgpw2oFjUSJqLcwFolby4SrkVAF4pzx9z4g\nnW/ku7Dv9R2rSG5aJeiuw9Ybvc+SVUStV+S6JoxDod9FXbPtmfATVYBHZ0UH4BbPi4qEJWPTgk0L\n+dGKnGZsWfBpxroVzDOxH8kvX0i0qGvx/UA47LHrHVQVebsGh/TmpTj++x7aDq+FvQhHKmMwGEay\nG36xgRfSV2C7UgFkQYVE46+tku6KgBhUrB3phVWFeQCPBT9iAvUNM95PWjHEoMI2J00umgaPEa8C\n8ehqmIFxJtw+18SnrshvvSH55VDJ26JtVBS9+Zj8+BIuH31kzoEfqwLgGL/xG7/Bpz/96b/xZz/5\nkz/Jd3zHd/Brv/ZrbLdbfu3Xfo2f/umf5hOf+ATf+73f+xEf6SlO8U80phl7933Cn3+JcLPXA3PR\nKDi89wFh/yEBHz7Ugf8N4aBdsjWECu2aCx7Axlld0zAIYLWS2l3oD/evQ92+7HsfRAzyeg+GL6Lu\nhexCVC9J6O0YCx9+ESI9mCiJnrVbrgI2DXe7fWm5BinbjVMZE9SiwhnYSnoAKUSqccDrCTs8EImp\nDNuuyKuWsO/xPMKq0efFSmp2pt2yjYP8EOoaWPC2VUFR1eooX95iadHP1w15qgiHHh9nvI1CxF8n\nfLUit7WU/8RPJIyjxH9yFmI9gx1GMgFfdXB9I5R9LX58btbkCBYi6WJDqMAmJ8QgWeIiX2+xhu2a\n8OJawj91Ra4joSv6AkOZ8uSi1f9qRyhmBiEluLkmLyssRmIMwhCEKMrkfi+sQFXBqsNjJXOdJuh8\nTAu2vRDg8TDgQ6/zlx2YsXkix0BYi/HBZYNPI6xEafQ1xIOklo+0P1ELE0ZVjIic3Faina5W0PeE\nJd+D+hzdE3WtFc44wTwVQSBw17QEGwm7oawaHLMFWzJhLCyGfqdfnKbF2g5v1/BRzf/5mBYAXyv6\nvucnfuIn+P7v/34eP34MwA//8A/zH/7Df+Dzn//8qQA4xSn+T8JdoLG6xp6+IL73lPj+cz1klwlL\n2gPbA2ndYxv1ENF/F0cFOEO0Lnd805FjJCbt94UAp3D7vSDjUVeVXRSqIrtLYQTwIdldrRRCWTWg\nEb25HsBLhmRaS2BK9qZRvudZNrFFUpbsdwIuL2v506xTUYJZElhFDkUT4Pag5nC1koTvzR5HgLu8\nWcktrzqKBGXt9Xe3WCvqog3zXcLAarKNArd1HcuTx1iM2P4gi91lIuxHqIxlew5nG7K1SoZRnHLH\n8PM1xBamgdAv2DLhQ429utUERcy1ch6zCqd51rh7UVEUJlnl5lc3VF0rEJ8ZVGv88kLaBNGwaYaC\nrrdYYbaQ37ggDw3hmSmZT7OOcRgJa4qNcb5jhcRiCZzX2tlbygKQpixGRF+S9MUFdn6GI/c9Gxfy\nMknfYJ7hdoeNMvfxGSxN5BhF88yR2NWkRdRCW+nYPASs1wTLgu4ZmyfpIhQnoGPSTrc7qlLk4A/W\nV7HCyt95mrFKeIU73YTR7sR/XvsdG0dCMFkKt60++2wlLEHNR2oX/LEsAP7Lf/kv/NEf/RGHw4HP\nfe5z/MzP/Azf/u3fzmq14l//639997rdbscv//Iv4+784A/+4DfwiE9xim/imGfs6gbefUqojLze\naBzc91ha1BkvrodfcZG785M/jr6bCncjJDm9aB0gH/R8tsZXKyw2soadFiWkrtOo2R0rNrB3ID+f\nCbns049725xVVLSthH+i3Vm2egwFZyfAGbEq8r01Pi964J6tsH5SN+iurnXVwapTkpwXcjD+YhMY\nVi1j5Xx6GnhSBWhXGumnGfoiEJQCft6QHj/G6hcCG2bpDngr0Z9Y11pFrGryNGFdSTST2An0B1Hv\n6ppcaXxsh1F6A7cHfJkJ1zs57XUt8dCzvPOGds5X1/gs8SPSROhnaIKQ6ACvBtjt8WUmWUl0Xadr\n0zQSDAqoCFmyeOi2gz0SbfLjBTDyusNWDX4YoR/BjfDqFgsOj9a6B+oGt4g3h+IVkDEvegX9KGbG\nNGgnHyPmkOdZSXMYsaCpjYGu36bSSPydJxBdQ6AQcAtYngl9D4ee2A/kJBCdxSAgZl2T5wX/1Fss\nQeJFTIsAjFHvY6GC7h7oR4iiBc5J5+gwiTRx/D15YEBlcC8vHfU9GQ+aXuUi1DTfK0zeFQF1DW0r\nGmgpbPPZCi4v5J74xuOPbP8PH3EBsCwLh8Pha/68aRo+97nP8V3f9V383M/9HNfX1/zsz/4sP/7j\nP86v//qvs93emyb80A/9EH/5l3/JZz/7WX7xF3+Rz372sx/FVzjFKf5phTv24hXhC39JOOwhJazp\nhHq/vYXdXg8+M3Iwghfv9yqSS3djIHlZ9PdSSct6lK/W2GZDGGfob2FOVJ41Mj0URHm0e62A6tiN\ngzcVnhfC8vpD1HPhFoaAr1t1WcEKuAy8rbRXPb8g15X44Fe32LyQtzXmG5nRLKmo+82SwB1HbiIM\nF2fYnOj6xL6KvHkYcYxw6IX7AnG1Y9TOvO913O1a9K45CRXf6T2tqpT8YiW/+wUliKVw72sp+dmQ\n8LcuCTnr39UBGxewLBVDL7r8OWskPcxYloOi41g1AzV5P8PVFeH5K3X0FvBNx/z2uZLTG5c6x1c7\njZ0Pg4CcQQA+liQHvrm4AcYKe/GKfLbC1h2hPVPBtR9Iw0hImTxOxBevtGaxIEGkWMb6bX2/Wlmt\niz2wqbiYk75LQAwGQ5OhALldw+WFPqufiC9vYOg1Op8m6Aeiu6ZSyWUrPN8XppZzkYpuCWZkrfcJ\n4yKMWdfhFTJMilHrhv3uXpzpQXwYtHr398XBkHEubAU0pcjp/vVliOSGCoRpJj15DBdbyEZ+8wK/\n2KrQ+Yg9AT7SAuAP//AP+fEf//Gv+fP//t//O7/yK79y999d1/FzP/dzfPd3fze//du/zQ//8A/f\n/ew3f/M3ub295Vd/9Vf5qZ/6Kf7bf/tvfOd3fufX9fhPcYp/EnGjkalXEeqa8D++QHx+pb1yXcH+\nKeB6SOYsed52RVhmCZaMLh39SmNVigOcgZJHeeDJ+nXGXl5Ljz/N2kG7tP6pXQAtwt20wKsKsyLQ\nU1WEycmbVrS0Q68H5Fz2sBgWpZiXAviUsSqTm1YyttGwq1fSAAiO1w1Wt+QuYkNTpg8ZO0zwxhbf\nV9QBhrZhNR+kkJfBu0ajaX2kbHTHmbzqlMBjJQzB1S3ebTTdiBFva1Jd6TUOdr7BDyNhu4ajOc04\nwv6gXbkZ4RnS6y9riiN/z4cZbMbPNsRpFjth1RV8wig55NVGmIKhCPgc6ZHLIildwN9+gm83hH0v\nkOE4KLOFgJOFVM/5fq2zeDH+qQlVjR9GvJL2AnMidFURwREok1b78GAuymGIsGog9xqLJ5fRU/Eg\nMJI0I2LQ9Kdp8KbCVq3+fHlOmGbsdoftdqLgzRNYpbWHoXunkxVynp1QFyc+ELVymmXbPEtjwk0g\nRouB4DW5FW7BEU3xq8yd+NpbeU+uCcARjOoGVcQfSgqbGAlWPA1A2Iz06JPkJ0/gjcv/f5gBfc/3\nfA9f+MIX/l7/5uLigsvLSz744IOv+tl2u+XHfuzH+L3f+z1+6Zd+6VQAnOIU/7twh5evCDd7da43\nt/if/xXh1Y0eqmlRQhqPwLeH/7aX+l3bYE1LXmbiOKl7Pr7k2Cb5A551P6kDagra3oqFK4ibX0Xx\nqbtOXTmIOx+jHtpeRtdzKs54SjxeiT1gOUklbpkxX6Dp9ABuW+2IJ3GzlZyMtGk1LUiZEGo8GfQj\n4fkrPEZWwKdfJF5WRlU1fHLQe5oHWHuxLF5wC+Smobrdw9Tjc9YXP1rGHmlj5yvcz6SXP4zYuiXP\niwRl6hqubtQVGvIDOBxEuTs/Kx3thHsqQjyNKGg5E+bSxdYyQsJM13achOiPleRpSw2Qp0VeBJfn\nEk364CW23+PXt0rMFtT9SxWp/H/5x3XUjvvVtXAVcyBng1VRrzNNcJyMlemMuwCADvD0A+JYaJdV\nVOHZyI2RuoAG+0mToNVaWIDJiW0kNTX27Dn2lfcJ/az3B5wkg6ciHGVtg6cas3vpXSIEchGMuqem\nhNbwzRmMc6EPgmFioSxlpWLagLw2CTB0jBmJ/jRl1ZL87lSZOz4tJZ8Xsau6IPqDTKnYnpEvL8j/\n12d0338D4xtTdnyN+P3f/33+63/9r6/93cuXL3n16hXf+q3fyh//8R/zL//lv+Tdd9997TXTNBE/\nItrEKU7xzRr27CXh2UvC02fw3lPCBy+Ih1GI632P9xOpHzSidV7bf/oiwJanrM4a9KB98GB9iAT0\nh21UCErEiUKHi0XMJ+t/RRjIu1ZCL5uVaIBJ+ADmWfv1SqA3daZgKWnPW/bCcumrpaCHE/pBRUBB\n/zNNhIh47hdbfd44avy7JB1j2/I4R77dKj7rDbVF8ER+6zH+6AJWHfntx8yf++eEdSdfg36CeSbX\nFbmuYL3Ct2cYRS1vTgLy5SSOfE7aAWeH1VrJOlT3NsJRYklYUoLfrIUjHCasHwgvrwhpUZE2DkDA\nsxO/9BWq959T/9WXCV/6yut+C3WFdUdNgFycFZGOfS4gR+TcJ/hj0QqoKyXFcj0tSzkxvPMG1jaE\nwwHLmeBJxdgwkmbZ4lqQFHMYHxzIIholXSek/NEfwounw+GAjT3ZMgwz8X9+Efvy+4T9dGfAc/9e\niwB96w3pcounRSso0z1iGU2nHqyqxExwuN5JnbE/FJBrklSzhddqn9fCIVcVed1pNbHdyk2wivdJ\n/vg7k9G9u2rw83PS+ZalacirjrxqSN/26W948oePGQjw/PycX/iFX+Di4oIf/dEf5ebmhn/37/4d\nn/nMZ/hX/+pfAbBarfj3//7f87M/+7M8fvyY3/qt3+IP/uAP+M//+T9/g4/+FKf4GMehx569wP76\nPWy3p+rHO+e6vNsThxE3iPl+dPlwAKAHb9aYNUDIuYCY/LUiwEEJ1R23fP9ANQhRo34qabQfKYAk\nlOBjxDs54NWvrrGkB34eMul8DZgKkSrcJUxbSdaXy3Mdb05omq4PtVABGd8Pomtd78Xou7ggz7eE\nWlxvr7fq5JoG1i0+LeSwwDLh2zU0DdP2MXzrO/qiT1+os/QFzwverWBzBm+cS2To5gabknAO6xUc\nRqyuwQKhivoel1uojLwz4QgKhkHgywRzo3M+zBK2OSrEJS+gzAT7QWP/aXptdB3cyVF2vKSEVTV2\nfaM1S2x07WqgFgfdLWBDDdRQr2G+gaO/fVDiI1aiAwJ5t9ekaBEGAUdddZcI17cawR8yOd7PE46L\n9GwmkJ7NGAX4aJS9fAu7gySAaxWd3Ait/+HRvC0Z91mF3PNXKhjNRHucimmPf6iLBxWDWVTGmDMM\no/ATKR/Zpl8zPKi4iPOsic4ilsodePHBMboXrMf5Gv+2byF94gkhBPJmDZfn//sP+ojC3P+2r/zR\nxu/+7u/y8z//83zxi18E4Pu+7/v4mZ/5Gd5++20AvvKVr/Af/+N/5Pd+7/dIKfEt3/It/Nt/+2/5\nkR/5kb/1vZ89u/26HvspTvGxiHHEnr6QbOxmhT95g/D0OeFP/pTw8loJOxegV9sQnj7X0ypGdUzH\nxJz99d1nDLDuSFWNDT2hjPfvmAAPXuoAq4Y8SRZVyO6C0K8bSeqOk0bCsdIxj5LjJUMsO2tD49b5\n8gIzyI8vsGcv4XonYZU3LuXi984TjfaHiRwrrB+IL6/UIaesTrapwCLeNPD4Am8rbJgJLySy4ymT\nVyv8E2/qoX57wF5dCaAF0mZ/dI7v9oR3nxJvb2Cayas1dA3pU5/A2og9fS4A3eGgRJOzJhpnW7yo\nAfLWJTx9KVBgfyhyu0WrYBpkhnPcCweECZiTVgmhnHYrtMbiclc9uFgZyNuNFAGPHgCrlcCcqxU2\nToTbvTjvddT5GQJWPdG/np5h6yCKmyeoG8xdhcA4gWWJ+SwLXkn+ma7RFOXQiyoZArnshHyZtdZ5\n64mwB4dRBcjscLmRZe5hKAJCScVAME0JHpgPHRWK3R7cZ4YoekHFDtHI7uLth4jND/bxwWQSVTWa\nfkyT9vV1mcAc2Sh/Q3iQOyGHXtoJGKRErms8GqF/gIUpx5jfeoPl0++Q/5/vgHfe4qNy+XsYT55s\nv+bPPnYFwNczTgXAKf7Jhzv2hS8S3n0qYFaMpDcfEZZM+NKXCV95irsesFbV6sZubu9J/UvS/jyp\n8/MYNUp3CsI/i+c+iMp2fFDnYgpj6bijRa1f16moSPnu2ZdWLd51xfBF0qssy72mf3IKYBsoyaxr\nSZW06jmMGu0DXkG+vMC2W3JTYedbfNVhX3mqfXEw4Rv6ETCymVz8zrfYuoOXV+pg9wOxrchtTa6b\nMmIfNSZenLxuYH0mo5h+obq+LtawI+nNN8j//Fu1+iAQPniBvbom3NzIPbCu7s9p08Cbl5q8VDUR\nhzmRr681VRlGgfgyUDV4E7U3riLsBiWsqsamUauRKKU6I8Mk5T6Sk9qa0NZ418G+L6P+LFAnRkzy\nDSA7Xkf5E9SRnMUEsGGnSc68aJpTSwIYz+RYC9BJFC4ka42jVYpWEx4DNAWI6bkUfQ2+agnvf4CF\nKFOhJWGX5+TDQCwyz8frarHRKmma7tQlrdxcxwLgDp0f7X66FMp9Ms9akxTKqnet5IDPz+D6VmqQ\nuZyDdQNNh/cluWdXgXy8mStTj9/W+JwI7rrXc9ZUpWvwWOvzimiTv/WY/M++jeUzn4RPvP2P/Iv+\nd4//XQHwsVoBnOIUp/gHREowjEKoP3tJ/MKfE94vXf3ZGr++JWy3slZ1V0e0gG8iVlfi6LtDP+jh\n2dQQ6tJlCnhnySHN+OyFxqVwXMntCNrLCZ+1m707thCUBELUuDlnydpauO+I3ItIT+n6uX+4C1eX\nlXD2h2ISoxWCBUkA+a7Hot7HjqYzBh4q2FS4Vdik7+/9SOwnfLMRXXEa1c2nFXGeCf1zrFvr3x8m\nGRndDjhBKnyFPui7W4m4eIbrG1hvsCjQWXx1pRXA8etVJt54CnCzV6dZV3B+Bm1DeChc1HlxknOo\na9LbbxHONnAreVy/vpHYzH4ncGIu+Ix1p+52SnJPXG3IeYGuJd7uSrLjzvlv9olMIngrzME0EczE\neqhryQkf9R7qUkyNGSi0OUej/qqSX8I0CqRZ6G7EUJggi4R+DgN+BSE5PompQB2xvifsD6+P0I9U\nv0ARxpEQlM+v2/ndwU6KfgTJdW9UD4B304J7IjTlmPc9vl6T6fEcde6HGc+Q6kioO8KcxB4ww4JA\nkIDudUbo5/uCNaNio1tp4mZBtNJHF6RPPoEnb/wDfqk/mjgVAKc4xTdjLAt2syO89wFc3WKeyV2H\n/dWXsRcvCdc3etj1Qp/nWBGLFrmobF5Q9ZSnqMP5lnyxkZ98ykLX54VwLWCWzwUZeJRPhWKFO2NB\nwDZP6f79ksusJ5YxfwCmRJizKG5Hed/yUL/rtsqb5yroD6l4AldRTAGjdMGzHr59j9UNLAFeXWt0\nH6PYBsNL6M5ELUwLPmXiOIjN8OIFuWux2z0hgxdvAwLysd8PDwRchJIPXUUuTm6sOpnvPL7AKDLE\nt30RjAllh4469SFiQxmDF54/eYFXizQUYhBqra7IxxH6qpFZDk7edNAVq17bYqtOa5R+Klr0GrMe\n6gAAIABJREFUEikKu0MBHtZYP8rc6GwNh3gvZNPVpP5ARuc9+wRjIGRgs9YUoZHSoNUVOTvh9qBJ\niiNaZbE2JrjwCjkJWxEcVi0sGR8GgQHdNXIfJ13eKt6PyckqID7EtPeyNrIEedXCKuBNre/3Yevn\nh38uBWAqdFSp/EEYVZhJcECDeotB90kBD1oIkpBOWTgXc5gXvFanT11hbvh6JQno28P99MEqlrcf\nwcUFfnkuAaNPvXM3ofm4xqkAOMUpvgnDXl4TPv+nxKcvlQAvzok5kZ9fEWdprmOoUOhH7IMPcA94\nP8hxzUwdVT/K6Sxl7XO7DvKBsCRyAKqGfBHwXRDvfJi0uz8CrKoK84IMT4kcg7jjAZizjGK6Gm4P\ndy29JcCX15DW4cOLSC//vq3IdSPt+WAFOR2VXI/Q9JQhDYT1BpKT97fY5fZ+/LuIb5+XhTCPxSo3\nEbJLSnZZ7g7FgNx19+wHkMPdnPHxgHUtdC3LdqNd+MVWDnn7PeHLHwgTYCq0LCUsZnJdYyzivy8L\n3FyLgx7F8zdz2eJenqkwaqJWKyZVQN5/LjXBizPyzUHWtufnsieOexhSwQ4soigCLDMekUDNEQlX\nSSCJZSY1NSlFaAzzI8CuEQUvB7zJpIttoQcu+L4XJuHo5BjKeWpqYR3WG4HohuHu3giYePLoPry7\nxEt6UOdF3RsPraF5MNo3sHkmW4UNWmFY1A/cEBjyYdQCndr+QMhJBWhbCTexWqvoHGYpUoZiO+yu\nIiAtWILAKExAFaGWM6AvGfKko2paePtN/PavhDsxiQjl//tfiMESDd5682Od+I9xKgBOcYqPe8yz\nvOuzK6GmDP/zzyURu9tppLwr3P55EaDqwQPV5pmYXSPgulbHviwCSg2zgFVVFJDrg5eAF5DeLIez\nVYvd7jQ6jZUsTg11rUWzP6RUTH2KIU6Wqps1zV2nfzRyATW7xyP8mlzkiDwEHl3ov7cS2clVhVsg\npGLbu9tLK39ehHgnYbseprEAHrN2512LJyPghKnI4C5Ze3mbYXHSppNZT7GQjVG68F5X2HqNLyOW\nDGYlCPOE//ULjbCbunTJGboWP9+So9YfljL4pM4elOGmTBhGweTiALic/yxqalAMl2zJkBLh2RXB\niunPcYVCxOJRRnl8/fy1rdYTswxovAr6Hkuiqip8nXCcvICFrqwsDH98zvLonLDrsdtbqevFALlS\nxjBXx15VuqfmBEx420imOSXRDQOlOy63wOUG3w93ErlAMWPKWFNLG/9BWLk5PDulnNB43QROxEK5\neRwv95M1na5BMMh6XRiWcgwHHZ8hqmAIBEfTmIcYA7jDPkggyYoOQy1NCDOtY9advlcdSZ94Czad\nGAhnm2+K5A+nAuAUp/jYh714hT17hV1d42nB1hvs6QeEF1fqyOdZ+/spSa0vSHmMqTzV6lpjXWT6\ncpSTDX0vbv4hYV2n7nReYNVgVUX2hN3cyOylrBQsRo3015X09ftRBUFO990n3HWLHIa7JHDcmR67\nO4G9gnjmD77v3c9C1F78jUuW7RnxegehIswLOZqoaw6eI46pgCmmMu6zbH3rgpQviG/MRBs0yOtG\nsrAhg1XQRayu8baDFInu92PvRuwBmxM0UaP3YiMcHAElx5kj3XGpa0LTwn5f/j4omTS1fOfnhB12\n95OGBNm11iFGJVEvaoxkeHmFVVK7s8Msn4C2wjZnuEflm5k7FHoGJbslSS9hJe15jxW5WggeaAYj\nDTNWBUKVy3TF8WEgvDcRiveDkcl9D/n+2lgVqPY7qFssBDylQjuMukenvZJqXTwZuob85DEQCC9f\n6b6YZnH7mwryvUUvleHHzj6BdwFrG2yZsTQWcZ1a90dIsth1x+qGjBF2sme+K7QAqiDTqCNVEFNx\nmWe8baWC+fB3DopXQsbruuBKUGFzttH32gYxKJqG/NlP4d8AKd//0zgVAKc4xcc59j32p3+F7XeS\njr3d422HEe9samUsEqCJuJVRftvBWUGLxyCe8gTYpITrqNNEHbzPk5L2OIprNWjXbuOIISEf0f1k\ndsJ6TVpviPOi7pYgLf6qElgwP5jvG2IJpPzaV3MoErj3Q4KHyH+bE172xtZEJYa2kUTwYcCWJFe4\n7Rk5z8RDVsGQo+yFu0rvWAtcF6YZzzN5LR92m1MB0SGkfQzYel2+Q1DnGwIeosb3BuQZUoS2w8YB\nH0cpFxpKtCEAiTCMOsdp0Ui8a+/UFn29UXJ9/RTBYcLPW+ysw24KmLKqsWkhzEvxOgjFRdAgBd0D\nsfjXt5LHxcBXHb5usF6FUAhIXXCaCU2rSZElqmOHPUyyPq4riarFoMISYFmED3hwfTxIDtldn01T\n4U0kzEmF2DGbeobtVpiBWAsclxcsRHj1SsyC8fXCkIwKtrMVEEjRiHPBD1iEmPF1JyXJriHUFTZO\nJJxqmmHVSrL44bmtGqwpeIWqKvf8AEmiSw+T/5HCSjboKjxW+DxjscaDkVcN+VNvE8dZuv6feIv8\nL779my75w6kAOMUpPp4xz9iX38Pee0549oK4O8gq1x2/voGqUpJMSWYrAOOifW3O2P6Ar1fk83MV\nBMtCsIilGeYyKl5S8b1Ho/5clsFHy1JfsIXX1wmT6IGWnbA/FBOfIqOaxRS4g/DHSna7oZLVbShJ\n/SgFDBCKlvxS/N/rCuYRs8IYqGrsvaew25cxei7udQnWHeYtljT65yg6RMAbyQmT0Wh5vYLzM2xS\noZOXRNUU4ZfCKPC2g0ePsLHHBnRcMZTOOWrHfr4VsLKryfWKcHPAQyZtz7DrnRLegjQSomSOPbvk\ndwEjAXthLbqKPC4aQwMEI5yt8P0k98FpUY22FNqbl3H7cf3iaAe+krMfsRZeIUlqeK5rwmqDX98o\nWe8OUi8MpnukT7K0fdB9W1nl3Mnbev5qSVxQQRjQ7nwY8M2GaAYFi3BMhXnJcHNLqGu8W5EvNipk\n8lKkhx9EgFA1Wps0kdy22HajY3p1A2RYRrCyl8fJ6xXUkTjNxBCwuiaPI3a2xsdBWgIJaGoyWRbE\n5tCosDLLdwj/u+8G0kdoWryqNVVrGmhq/GyNf/Id/J99q3AgXftNmfiPcSoATnGKj1vsDoQv/oVG\n/8dR80HoZyXLGbq1El7XkgscPyxzQfiXkWolERQfekLXagS6L9QqF5CLtpZ8btdi+57cVndrBXPg\nQ89oMzR+zQUnUOx8fSyvb1oVAbFSkokFTNU00O+VIEFAqSOQq6nw4DJLaVsJ9syL8AMhEPc92aLA\njvPxuydyU5gEN6O66c1GtETPMEdZ1Q69VgH9KGT5qlFB0jq5qbFhlnBM1DnDE4Qajwv2+JK864UG\nnyatUqaEH4ZynmtyEwluMEqS+KiQ6Ekud8fd8l1UAZsXzEdRFFlwM7wyKQ66XuPblYqhwx5ManNC\n+4NtV2WEPsHZBpsDbLTC8ZQJVU2+OCM68OKlEtQyE/KCx0B21HlbSeQ8SPCOCr7jdcr5q5L/3Usz\nuqfqGqu0tvBh0v1g3I3hbVjwYQFeEvtB99ZRe+JD91f2pKJwXGDO5K7RqqdtdD4zWjOANCSGAWjl\nxRCdPC3YoALXH59rb0/ELzbYyysZSvkCXtYyTSxgwA9dqIwwKBGylRVATrDv4dkLwjiSP/cdAlV+\nE8epADjFKb5RcdxHHjuIwwDTiO0HwnsvsL7HDoVWdnWjB3atpEgw7Xj3e0KOSgbuksgtymd2swMz\n8a7nYsSDaw/eRDCJpljhaKe6aNJXGQvznYAKPNjL1+Wz3fGLjehtL6+wpRQH03jXMfuqU/dd1dBW\n8kvHxApw16QXxNPOGa+LH8AszXvt9ZOmEfMMU9IoeRvwHNRtVjXWVFifJQ40zti6xkOFZ00fvKvV\nHY8TqW2gBRvUTfuqkXlLGjWduNqLYhccupXkevcHdeO7g0CGFuHpC1i1UsOrUGK3LOR9Vc7zlF+T\nwAXuRWlCkliPt5qoLBmGidR2sF5DW2Fdgw8HaAreYhwlPDNMGJI59uzFkMm1j65i8TiYYRgIZRTu\no9YGFqIKtSg6G2mna+IC2jlZwk4WNM7/MDvjQVgQFiBPM+G2rF9CAU2KX3j/veuITZPooDHc2z9H\n+QH4qhWtcphkg2xiT8gwynEyVrcQJrEu6nIPTQnrr8lLJsyuwibKJtpCJFUVfnmBm1O5y6bYNT3w\nbkUwx5bhq79cJatnDiPBglZP40ywmeCOX+0wnPTtnxXd75sE9PfhOBUApzjFRx3DiL3/TDSyZVHi\nzxlrNcLl+RXc3pb96IK9fCXE+ZyUUGsVDL47YFlANKsbGEYlrhJ27OagdLoPRpVzgpXMa4JFrKkI\nOKlp7ouMfS8edIBcAyNYdGyzkqXqqsWGUYnaHuxvydKnL1YBNsvCVQptZeceo+hxbaVjKXvjsN8r\nedStJh1H8FXxG7CU7zvweoPflrG7mSYXZuDqstNmJbzCkjRDbyrCOOC9E7JrShEjdui1Sy9sBs8J\nf/KmxIrmWfiFTafixvT9LEYYZ+n+OxrDt52uZRkpP+yqjx3xXdQVtj2Tnvyhl9zulImHUfS6mz2p\nbsr3msnTxIHEn22dZAuf7gNvVZWSZ1oAF9IfF7Auy/4WQ+sVuAMXmqOuN1TyasC002+ipifdmrgk\nyD2hyDoc6ZB3RWRVGB1zEqOjKOrlJsL2XMXSOIkxEAoXflrwZiKkwsVPDtGLYc6ZEnddUx167eyz\nCqPcNjDcaN1hBTeS/A5zwCytARZ9X68qFRjzLAvj9z4QQj+5is/RirBUxudJ6n7LLHpqVXSWVx1H\n1GM2x24P2DLp3lwyoanx959jbzzGi0T0N2OcCoBTnOKjjGUhvPuU8OwFdn0tyl7TCGU/TXjX4eNI\nqIuM6jILYX+0wj2C5rpaI/jbvbroOpLrlR7s0yK3t5TvOvdcdvvetoTySE9Nc+dIlmNU577p8EF6\n88Eg7/fqCiPkbcBWa8KbTzQadhNobneQCE5QgrmTeN0nJewiIRzrWjSuJpK3G2xMuGdsvYKhuBDO\nWcj3ZRIOIEaJF3lWApo1WvcQsK7D6ojd9HjdiB9f1drVThMeDScVFcOMtS1MozpFDF8Zfr1T5+xe\nWAQLTEb44APtx2NRQbSgznxeNEYulrPmSUlhClpzDCNf5VoHWNuQo0ktru+FRdjt9J7jdOeyxzRK\n7OZyS9gdtFIIBsH4wpkzlgLvS5vM5W6mrgOsVioWGyAZRPDYYOOOQkuQtC5F3tYCLAATuWs0Sq+N\nnEw4DXOtQpLfwTkkzFQJwDc7ttzr3h+1pDKZkIOEe47n4vqmFAfgbYPFRuDCUgx50TsgoyReBSV4\nR6sCMmHVErJh01CMkBIpBMzlbkiRP9YbIkzD7BrPR8fWW3yZldRvZhUm0XQduzUsgxgWdZBmwPYM\n+pmYJhkVLRkrzJGQMnm/h7SSodHNLfzVl/G20rX8JotTAXCKU3xUUeR27epKY/PdXkhoC3CYsDxD\n3CthrkonM2vkSPJ7ZH3daJx6eUn2jO0H0bseX+oBfrWDHo0sH4iueFsL6R+CFP5C0GftB3KdJZwy\nBXyZSrcDhKiH3qxuzN4805tl6dp7Alu1AosdzVBCoVxBeZCnux2xeN2SZJ23NdPt+zRX0Cw1jhHq\nCj8MKhyagAftgW2cNe1Y1VC12DCIYrdq8baVUVBf9r9tTT7bKNE3a3zo1XEakjgORUO/H1VYXW4F\nlBxn6SRUUYVZW1zzQsTbjD86J7/YE/OC+YxV6gY9uAqzNMugqKrKWL6EIYZBV8B6ba3OPgRSdsnv\nxgqrpDbIMuFHW+acBHxMmdlUWLhDRWAKTtW1otHteqkVWobdKJMlQyDE4kPvecGqSO5WhOzklLFN\nQdO74+sK6ii8xPghYxsHm2bR8SL6Hg9cIMtgRHiGsSRbM+xw0PVvtAbyppLZT11rwlNXKhZSwjdr\nddurFX44CO9RVfg0lrXTPV3ESrfPXLiPURMFNyDWeF2TNx2h0uieAHnbqYhY5K0QDgOW5tLVz+Sz\nM1ivS3EZSEkqkbK9LjuuMg7xRhOw8OX3sbMNabcj/7PPyPDnmyhOBcApTvH1jnnG3n+OvbyG959h\nN9fqdPeHgrKfBEBLrpFprFiqKHGZYRSQaUp3vHmGUQl+yYT1Gm9XKg4OPRZcoLWAwHVRYih3Bik5\nkRcIocZS2bM+rvElaTI/l818rHFzQtPg1BL6IcB+xm+fw9kZMOHJSauGMC8qVI5e7MNATved8JIS\nN7FitkDMic3hmmdNT9vA4InzVNPeTPITION11Nh2GlU0PDrHd72AjuOgUe2ywCHj2zPx61PCpyIQ\nYxFb1fIOyK7OfpzxJmqkjxUcRYN5JjU1Ps/Eqir0PTEhLATRwLYruJ2IscXOArzM+Nxr9Rsr7PwM\nnzO2LMII5CweeQFleteS1yt8nIn7UpCEiKWFvF4RC50wb2qN7VORFi6FhANvzoH3zoyQMnUObJoV\nnK3JFqBzDMd81p792Luv2qLwuFKSXBzWK/Jh0Mg+LVjX6tbLqVjsZjwYtBE/lNVLOQgfJ7E7/HXQ\n3B3lrtZawVLShAPT/ZsSNrr4/bmM6uvq3szIDBuGQnc0wvj/sffmPpJl6dnf7z3nbhGRW1X1NisX\nCR8FDgWBhiRXkEWDFl1a4xC0CBp06dAjxiVADMC/gR4dmgRo0CAkfVqAEURyNFtvVZWZsd31nFfG\ncyIyq7rJj/OJlLp78gW6syozK+LGjRv33Z6lgFWtKEw6xEc0UnX0Kz1nprAgyvuMi21xd8AvAzZq\nrcKiz4XdXMCYgF6rguCYVXJpzIkwu/Ahw1HGU1a2TDipCmKE1JVe06qFnKk+fU0+9ixtCyfhqi9B\nPBUAT/EU/9axLNirOyX7VEbFKRE+/FQJaU6EQT7uXsaXAdQZxkheUpEmLePwJICXj7mMI9UMhf0R\ndkft0bPDXuh6AzKmxwiiuIl+JqpbsJkcwZIT9r3G8JXG6z4ndeFLxqZeGAQvnacFvJqxCHa7Fehr\n1WJWw/WFfNsDEIx5kK6+RyNmZ1dV6urTwstmzWBb2t2MLZmAMYWZNukma1VTxHoMuhUhuCRlNy1+\nLMh+r8S5t3gGkjEXpcO6gvv7wosvanGLCVjXaHftleF1W4yPwK422PUl3O/wacTqoM7/9P4cBzkJ\nVlWxlx3O7XGYFzXq6xr3VlMeclnTNNi4YMdRybxpym4lCcTY1ISUSRjRDXcnP7vRfp4ZX8oU4tjz\nKzlzZRWTT7wXV/hFmTRsVviNdui83mqdssgoKYNWBMsiFb6UsPudMAuxIkxOHmdCCKLqjeU4p0nC\nUqcd0ikcFSY8ovqf/lwV46hJaysK8DSYxvbuYGkU9qKuZB28SNRpDDM+jlSposkn9UgDM/KcBSLs\nGulTACTUzVe1xvSU4/RcpjIQu5qUJswzcRT6PyfTqqE20fzaWlMGF/PBqhpc0sp2kA1xluAi2SJe\nR00zqloCR/1MuL0HHNt1xL//30j/w39fDIy++PHlOMqneIovchRlvZMfuf30E8KPfkp4eSuk8jgI\nfb0/YtutblKhjECDpE1zbeSmVbdY14So8TJm0B9xN6G4H+86y1Tbx3JDDoZN+nk4gc5S6bYW8I3G\n0z7PhMUF4joOQlUXYJcNE35IAsOBdrPlZZplUfmaRoVCiuRhJHomrzt45xn5eMSnkVRVVCxYFZir\nwJ6KuawTGpyUI5GR4EbGqHvlcguFFWFInTDNuulHVzI3IyxgLETA64wfeo2xhxEDkveECo2++164\ngDRBjkqY0wxx9YDKO4zqoJ1CDWvwbBJRctMxuREoFL9JmvCP86KNI9CI9meyyfW20ZqnjuCZUESN\nvG7IbgQT8JJoxDlJfrgJet5NDZuNjIHqCElj7RfuYn/sDuBD0dV3ydImx6aRkFzgTQr4s54kemS6\nMNyzqKZBLIk4z+SLlcbiw6SC0IJ+D3+ggDy+5D/7reKMiIqHZMIWVIiiZybgYxPxMRXb4kxYFoZl\nz93lx0RrqRMknrG2Ttf/ccAuNxAqskPoamn5C8yPMeux12sVVOW5ghu+HwjNUsR/auhLQl+1WNeR\nv31FvN/joSKtGhWQw4Q14aGQLrjZkFARvSSWSTLBuZEqJfc7aFZQJcLdHfnDT/Bvff0/82by/208\nFQBP8RT/b2ISp9mGAT+OEqf5mUB+Jwc1y66d9bI8aOVHyaxiph2yG35zWXzbIU8LsR/wJWs/PD0A\np87xsBJVPBLsOd+3y02f5OJoX16qezkctGPNrt1uFaBSVWFTKoIyfvZdP93tbUrALAOgGULIAnIt\nGT/u8aZVB1VVokthhATXbcVPqoY4TYR54Zvtin7oGbpE7R0dtXjX+ZR0jGRgG938fRgJ84Kd9PEf\nn4dQYWSxI2anQtrwOA+WtBgcjuLAd1HsBYc0JWIo2vIpFzvboLlyValwCCiJt5HkCWuc6iS7H0PR\n+08qAs469UaYJvIwYE1bMAILllUMWKgldNTV2FZWuFbXsvANwgtYdtwq2N5BrLGyyrDb3QPwLUA8\nSobY60rjcDNNNUJUUkvpfE3ImS+QJ84WzwDs+7JuME0viFoZVBHKNfvWpfeZ8LrSNb0s2En+eM7F\nLyJjyyx7YjMBCdOCBVhiTzd0jNVEjhVpOpQCrcK7Blu3cuEzw8eJ0GplFaLG8Z6SWBwpaQrhrnO1\nLJglnID1vaYImzWBWOSyW/IGSRePCx4RJmQusshLkmZD8S44veaQMjkbNizSlYhB53GXYb0i/Oxj\nUsrwS9/gi04PfCoAnuIp/nNjWeCHP8N2W+zYC3DX93I3O/b44UBoOyXqEAl5KeNfL1a5hcJUBVh1\nhJPpixlhHLXXDxpZmpfu2OV77o0kSg3OKnOfG5ps6kZe1cIJDBMcx/MY10DdVhofvvGomMjwoK0O\nZz8CT4Ud0K4JecI+fQ3dCm9q6hBJq0r6BOsV66tLfjUtzE1FO/XUGHVac5kadcyNk80Ix14GNhjx\n9k6Fy0oOfAyiSlo/nl5aWZMgyV6r1KVNhZp27B9eT5BuewAsBxUbODEnqcYNE5CxtoNx0jmzUFgS\nGaaF1NQaZzdR65q5UCurCicKiX/cFzS/OtNohucZK5oAXkvP32OEd57h93tCW5PHCZsnuL8lNC2e\nM3m1IiyTCpFFgkuMYxH2WR7enGE8rxbMXBOBGLGqAZ/eAOuFzINHxMMlovd2WlTwWcBjEmivyAC+\nrXX3eAJwWgFYSlphBTkMuudCETAsRhWUmHAp6UFoqs6Ndu+2ItkC1BBKYRWjxJeWWcVF16qIK4Vn\nroOU+jxIjXLJWFWmF8HwuinKk2IW+LxIgTEixcd9L42B44hdrvHNCttuSaHCYqUpU4hiDpzC0PrJ\nE77dYbmsdCoBKMPuQFgW5n6EX/uVL7RS4FMB8BRP8a+NE2//fk+4vYWXW+gqwr6XwUk/iloUtCvG\nIjkl2KyUUMep7KsfWY856lgwgf5ilJf5NAnpjJ1/34uJSdp05HefYzljr+6JBSB9NmspYjpF20U7\n15QIfQ+7PbmpKSJ0etzT6yvc7vM+NZg61IL4zsVJzpK8A7xrsCkRtlt1nGUvamlRE5oyuW7xusK7\njjhO1DFJS39OYjOo2Sc9uyJYLI5+6hatLtLAZuL+zxM2Tm8ko5QdjketALISH2fGQZliOMUgCP3c\nc0H3m4qNSW5xQouPZTy9SPs9Z/JmLWe9OuD3B6phKF1fJFWRUAkQxjietwrS+Xe80q6ZPOoxpqQi\nYL2SVkKA1FTSJUjFV8EhvN5CvhUAkvDAAJmFX7DHxn85afCQshQaDWxOZB9VlHDG052TdsVMon4A\n752+hqi/1BV53el46gV2/cMlGw0u1viuf8PgiX4SfZQglUOTwp5ZfjBKGme4rAXc3O3wlOnmNY7T\nJFgssI6XlG0Lufg9BBODwEatzbytyRaw9YYcImFZNO1ZZnXwTS1qI07YdFqhpQTTjLdZvgt1JYXE\nfsSmibw/YmtRY2NbqeoNEVYVqYlyR3TIm5Zw2OM9EmOaZoFSq0pTlqYhNw1xGkmHXi6WX9B4KgCe\n4in+FRE+fU346CW8uhOK35B07jiqozr2QoAjL3hvwS9awPDNRvK2WeIkFsBn0bMsZ3LbErPASzln\n3ZAedxyniBFCwG4u4Ztfx376sQRp3loNeC4a720L0yDb35OqX0CmQl2r7tD9wXwlpbOxjJDaAZ5d\n49NMLoY0pEW/EyuN4+siAesBbyN26DESTiTnBWtbwjHj/YdCol+06tRA/P9lKTS1Fu4POkeOknl2\n6KozDQ7CSaH2zRiVSE9cNHNTh311AbtDAe0hD4B2JUOfkvE81IA6VW8bTQbGGSNIZa+r1VH2PWE0\nGHvZ9JpBNLEjXjzXpGNSVn4DG5BdxZiZisdgWA4yl9lv5T+f0TkPUYBOL9OhE+r+VLBUETYb2O4f\n3usmQFQhYpcruN0JyJadkNMbOv4PX6UcGBhJtG+ey5TwOopaOcyEtKhwOtlDgyZJ03JO/o/DKLLP\n0SS2Mynp2qPftf2R/M5zKREGCMvCOrdC5E+zrrFahUiwgC8Jt4TFToXXqtUlm1LR+5eAkB1UkFip\nEN21Vsl1g12uBX7MiTBNAkm2Ed8fhBegDCv6SSuy7Q7rJ6zVqiZ/7QPmZ9fEvif86GeENBYihISi\nznoaWXgMuRXam+JbX8B4KgCe4in+FRE+eaUb7/6AbQ+6md7vqFLC5/kNAxSfZiwYoa5ZLlb4ixsh\nsPuRvOmwQZ2sLQvmQV7ow1gQ/5ylfN+IqiI3Dfkb7+DvvCvA2/2OsCvJ4NR5VpG8WpHbBguRsOmU\neF7ela5eyHavJSQUcqFluVYJmhrMULfqvHP5Nzcb7NXrYrFbK+Gd9ssGNmd8qZTsLta4QTwsSmCg\n11bV0FsZMZcO3AJ20RFi1Oi6rnQMi7ATfujVqaVFyXS9Jh+PZ/GZc5zyS3Y8lEnIsYxxnxb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wn/UFVaeeRF+v1LwQt0NfnmUuup+/uzVLDVNbEfWMwEopxmHJdCZi5KhlnGV56zEiquVVU/YP3M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\nZBPJp0qomxsr+RW135OhQDf87FoUAcrS/fp/+nPYbOY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.1438491276047671 arcsec\n", "Dec correction: 0.07049437199100339 arcsec\n" ] } ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", " gaia_coords\n", ")\n", "\n", "print(\"RA correction: {}\".format(delta_ra))\n", "print(\"Dec correction: {}\".format(delta_dec))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] = catalogue[RA_COL] + delta_ra.to(u.deg)\n", "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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nUS7AbIGaqI08Q4OuMRyqtWHZAlFLoDJsweYG8v0a9tWa4BDwaT7o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kqd1wapaIH6nilBcZu4iqhWoFJWDS9MSomFFAlWq0iJbTHICmQrth6j9gVpw8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IHSdk2BGHO7Tr0LRFMzYCDh7fV7gSSRJoH05MtSNeXBFLpu5PqCZkc4N79hGqkZQnnIixdMhU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Ls7RAUZJgSx6UBR4IqCnBRWC9K2NEtiDeSnj3Fzhv2INkuyc2gRjNhYVZ+kEKr31iC0BXp5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\n56NcD2yFcsKoZBodCUHCQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IV - Flagging Gaia objects" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.add_column(\n", " gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n", ")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "39225 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"des_flag_gaia\"\n", "\n", "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n", "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## V - Flagging objects near bright stars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# VI - Saving to disk" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/DES.fits\".format(OUT_DIR), overwrite=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python (herschelhelp_internal)", "language": "python", "name": "helpint" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }