{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# AKARI-SEP master catalogue\n",
    "## Preparation of DES DR2 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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "0575207 (Wed Apr 28 17:44:47 2021 +0100)\n",
      "This notebook was executed on: \n",
      "2021-06-18 15:00:57.491021\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": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The examples.directory rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2. In the future, examples will be found relative to the 'datapath' directory.\n",
      "  self[key] = other[key]\n",
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The savefig.frameon rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The text.latex.unicode rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2.\n",
      "  self[key] = other[key]\n",
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.fileo rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.level rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/raphaelshirley/miniconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/seaborn/apionly.py:9: UserWarning: As seaborn no longer sets a default style on import, the seaborn.apionly module is deprecated. It will be removed in a future version.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    }
   ],
   "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": {},
   "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": {},
   "outputs": [],
   "source": [
    "# Pristine HSC catalogue\n",
    "INPUT_CAT = \"../../dmu0/dmu0_DES/data/des-dr2-adfs.fits\"\n",
    "orig_des = Table.read(INPUT_CAT)"
   ]
  },
  {
   "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": {},
   "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": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for g band:\n",
      "Correction: -0.4023561477661133\n",
      "Number of source used: 3353\n",
      "RMS: 0.08339773269944677\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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MTE6nR7rCY2SuiEUodE9FWUB7DjVp/f56r6MAABB30Qzsfds5d9QKvWb2EbFqr2fmRKZa/3NtpcoG5nqcBgCA+IrmTMxXu7kNcTIgN0NnDc7VfMbFAAD6oO7cxfpySXMlDTGzH3b6KFdSW6yCoXsqygL68fxNOtjQov7ZaV7HAQAgbrpzJmaPpKWSmiS92enxtKR3xy4aumNOWUAhJy3cyBhrAEDf0p27WK+QtMLMHnHOceYlwUwamq+C7DTNW1epKyYP8ToOAABx053LSY85566W9JaZuWM/d85NjEkydIvfZ7p4bLHmra9UMOTk9zHVGgDQN3RndtLNkef3xTIITl/F+ICeeGu33tpxUOUjC7yOAwBAXHTnctLeyPP22MfB6bhoTLH8PtO8dZWUGABAnxHNXayvNLONZnbIzOrMrN7M6mIZDt2Tl5mq8hH9uQUBAKBPiWadmHskfcA5l+ecy3XO5TjnWGEtQVSUBbRuX7321B7xOgoAAHERTYnZ75xbG+0PmNkwM5tvZmvNbI2Z3RzZ/j0zW2dmK83sSTPLP8Hx28xslZktN7Ol0f5+X1ERWb13/nrOxgAA+oZoSsxSM3vUzD4WubR0pZld2Y3j2iTd7pwbL2mapBvNbIKkFyWdHZndtEEnX/13jnNusnOuPIq8fUppoJ+G9s9k9V4AQJ8Rzb2TciU1Srqs0zYn6YmTHRQZGNw+OLjezNZKGuKce6HTbq9JuiqKLDiGmamiLKA/Ld2lptagMlL9XkcCACCmul1inHPXnemPmdlISVMkLTnmo09JevREPy3phcgaNT9zzj10gu++XtL1kjR8+PAzjZqU5pQF9NtXt+u1LTW6eFzA6zgAAMRUt0vMMfdNandI0lLn3FPdOL6fpMcl3eKcq+u0/WsKX3J65ASHznDO7TGzgKQXzWydc27hsTtFys1DklReXn7conx9wfTRhcpI9Wn+ukpKDACg14tmTEyGpMmSNkYeEyUVSPq0mf3gZAeaWarCBeYR59wTnbb/q8KL6P2Lc67L4uGc2xN5rpT0pKTzo8jcp2Sk+jWjpEjz1lfqBP/nBACg14imxJRKqnDOPeice1DSuySNl/QhHT1O5ihmZpIelrTWOXdfp+3vkfRlhadtN57g2Gwzy2l/Hfmd1VFk7nPmlAW088ARba467HUUAABiKpoSM0RSdqf32ZIGO+eCkppPctwMSddKqohMk15uZnMl/UhSjsKXiJab2U8lycwGm9kzkWMHSFpkZiskvS7p786556LI3OfMiUy1ZuE7AEBvF83spHskLTezlySZpFmSvhM5Q/KPEx3knFsU2f9Yz3Sxrf3y0dzI6y2SJkWRsc8bkp+psoE5mreuUtfPKvE6DgAAMdPtMzHOuYclXSjpL5HHTOfcL5xzDc65O2IVENGbUxbQ0m0HVdfU6nUUAABiJprLSZLUpPCaLwcklZrZrJ6PhDNVURZQW8jp5Q3VXkcBACBmorkB5GckLZT0vKRvRp7vik0snIkpw/KVl5mqf67b73UUAABiJpozMTdLmippu3NujsKL1lXFJBXOSIrfp9lji7VgfZVCIaZaAwB6p2hKTJNzrkmSzCzdObdO0rjYxMKZqigLqKahRSt21XodBQCAmIimxOyK3Gn6LwpPi35K0p7YxMKZmj22WD4TN4QEAPRa0cxO+pBzrtY5d5ek/1R4AbsPxioYzkz/7DRNGd5f89ZTYgAAvVNUs5PMrL+ZTZRUL2mXpLNjkgo9oqIsoNW761RZ1+R1FAAAelw0s5O+JWmlpAclfT/yuDdGudAD5kRuAjmfszEAgF4omhV7r5ZU4pxriVUY9Kzxg3I0KC9DL769X9dMHe51HAAAelQ0l5NWS8qPVRD0PDPTVecN1T/WVjLAFwDQ60RTYr4r6S0ze97Mnm5/xCoYesZNFaUqG5ijO/68UgcaOIkGAOg9oikxv5H0P5Lu1jtjYr4fi1DoOekpft1/zWTVHWnVV59YKedY/A4A0DtEMyam2jn3w5glQcyMH5SrL757rL7zzDo9vmy3rjpvqNeRAAA4Y9GciXnTzL5rZtPN7Nz2R8ySoUd9euZoXTCqQHc9vUY7DzR6HQcAgDMWTYmZImmapO+IKdZJx+8zff/qSZKk2x9boSD3VAIAJLloVuyd08WjIpbh0LOG9s/SNz9wll7fdkC/eHmL13EAADgjUa3Yi+R35blDdPnZA3XvC+v19p46r+MAAHDaKDF9jJnp2x86R/lZabrtseVqag16HQkAgNNCiemDCrLTdM9VE7VuX73ue3GD13EAADgt0UyxlpldKGlk5+Occ7/t4UyIgznjAvrEtOH6+ctbNGdcQNNLCr2OBABAVKK5AeT/KTwbaaakqZFHeYxyIQ7unDteIwuz9cU/rVBdU6vXcQAAiEo0Z2LKJU1wLPnaa2Slpei+qyfpqp++qrueXqP7rp7sdSQAALot2htADoxVEHhjyvD+umlOqZ5YtlvPrNrrdRwAALotmjMxRZLeNrPXJTW3b3TOfaDHUyGubqoo1UvrK3Xnk6tUPqK/ArkZXkcCAOCUoikxd8UqBLyV6vfpvmsm670/fFl3/Hmlfn3dVJmZ17EAADipbpcY59yCWAaBt0qK++lrc8frP59ao98t2aFrp43wOhIAACcVzeykaWb2hpkdNrMWMwuaGUu+9iKfmDZCs8YW69t/f1tbqg57HQcAgJOKZmDvjyR9TNJGSZmSPhPZhl7CzPS9qyYqI9WvWx9drtZgyOtIAACcUFQr9jrnNknyO+eCzrlfSbo4JqngmQG5GfrOh87Ril2H9OP5m7yOAwDACUVTYhrNLE3ScjO7x8xulZQdo1zw0NxzBunKKUP04LxNWr6z1us4AAB0KZoSc21k/5skNUgaJunDsQgF7911xVkamJuhWx9drsaWNq/jAABwnG6XGOfcdkkmaZBz7pvOudsil5fQC+VmpOrej0zStpoGffeZdV7HAQDgONHMTnq/pOWSnou8n2xmT8cqGLw3vaRQn5k5Sv/32nbNX1/pdRwAAI4SzeWkuySdL6lWkpxzyxW+ozV6sdsvG6dxA3L0pT+v1MGGFq/jAADQIZoS0+acOxSzJEhIGal+3X/NZNU2tujOJ1eJ+38CABJFVDeANLOPS/Kb2Rgze1DS4hjlQgKZMDhXt182Ts+u3qcn39rtdRwAACRFV2I+L+kshW/++AdJdZJuiUUoJJ5/v2i0zh9ZoG88tUa7DjZ6HQcAgKhmJzU6577mnJvqnCuPvG6KZTgkDr/P9P2rJ8lJuv2xFQqFuKwEAPDWKW8AeaoZSM65D/RcHCSyYQVZ+sb7J+iOP6/Uw4u26t9njfY6EgCgD+vOXaynS9qp8CWkJQqvFYM+6qrzhuofa/fre8+v10Vji1Q2MNfrSACAPqo7l5MGSrpT0tmSHpB0qaRq59wC59yCWIZD4jEzfedD5yg3M1W3/HG5mtuCXkcCAPRRpywxkZs9Puec+1dJ0yRtkvSSmX0+5umQkAr7peueq87Run31uu/FDV7HAQD0Ud0a2Gtm6WZ2paTfSbpR0g8lPRHLYEhsFWUD9PELhuuhhVu0ZEuN13EAAH3QKUuMmf1G4fVgzpX0zcjspG8551gwpI/72tzxGlGQpdseW6H6plav4wAA+pjunIm5VtJYSTdLWmxmdZFHvZnVxTYeEll2eoruu2ay9h46om/+9W2v4wAA+pjujInxOedyIo/cTo8c5xxTU/q4c4f3101zSvXnN3fpudV7vY4DAOhDolmxF+jS5y8Zo3OG5OmrT6xSZT3rHwIA4oMSgzOW6vfp/msmq7ElqC//eSU3iQQAxAUlBj2iNNBPd84dr/nrq/T713d4HQcA0AdQYtBjrp02QheNKdJ//22ttlY3eB0HANDLUWLQY3w+0/eumqS0FJ9ufXS52oIhryMBAHoxSgx61MC8DH37Q2dr+c5a/e9Lm72OAwDoxWJeYsxsmJnNN7O1ZrbGzG6ObP+ema0zs5Vm9qSZ5Z/g+PeY2Xoz22RmX4l1Xpy5900crA9OHqwH/rlRK3bWeh0HANBLxeNMTJuk251z4xW+99KNZjZB0ouSznbOTZS0QdJXjz3QzPySfizpckkTJH0sciwS3DevOFuBnHTd+thyHWnhJpEAgJ4X8xLjnNvrnFsWeV0vaa2kIc65F5xzbZHdXpM0tIvDz5e0yTm3xTnXIumPkq6IdWacubzMVH3/I5O0papBdz+71us4AIBeKK5jYsxspKQpkpYc89GnJD3bxSFDJO3s9H5XZFtX3329mS01s6VVVVVnHhZn7MLSIn165ij95tXtWrCB/58AAHpW3EqMmfWT9LikW5xzdZ22f03hS06PdHVYF9u6XEnNOfeQc67cOVdeXFzcE5HRA+549ziNCfTTHX9aoYMNLV7HAQD0InEpMWaWqnCBecQ590Sn7f8q6X2S/sV1vczrLknDOr0fKmlPLLOiZ2Wk+nX/NZN1sLFFX//LalbzBQD0mHjMTjJJD0ta65y7r9P290j6sqQPOOcaT3D4G5LGmNkoM0uT9FFJT8c6M3rW2UPydOulY/X3VXv11HI6KACgZ8TjTMwMSddKqjCz5ZHHXEk/kpQj6cXItp9KkpkNNrNnJCky8PcmSc8rPCD4MefcmjhkRg/77KwSlY/or/98arV21x7xOg4AoBew3nh6v7y83C1dutTrGDjGjppGXf7AQk0cmq9HPnOBfL6uhjwBAHA0M3vTOVd+7HZW7EXcDC/M0jfef5Ze3VKjX76y1es4AIAkR4lBXH2kfKgunTBA9zy/Xuv31XsdBwCQxCgxiCsz03evPEe5GSm65dHlam5jNV8AwOmhxCDuivql6+4rJ2rt3jr94B8bvY4DAEhSlBh44l0TBuhj5w/TTxds1hvbDngdBwCQhCgx8MzX3ztBw/pn6dZHl6u+qdXrOACAJEOJgWey01N0/zWTtKf2iL71t7e9jgMASDKUGHjqvBEF+o+LS/XY0l16fs0+r+MAAJIIJQae+8IlY3T2kFx99YlVqqpv9joOACBJUGLgubQUn+6/erIamtv0lcdXcpNIAEC3UGKQEMYMyNFXLi/TP9dV6o9v7PQ6DgAgCVBikDD+dfpIzSwt0rf+9ra2VTd4HQcAkOAoMUgYPp/pex+ZqBSf6bbHlqstGPI6EgAggVFikFAG5WXqvz90jpbtqNWNv1+mmsMM9AUAdI0Sg4TzgUmDdefcMs1fV6XL7l+o51Yz9RoAcDxKDBLS9bNK9NfPz9TAvAzd8Ls3deujy3WokVV9AQDvoMQgYY0bmKO/3DhDN18yRn9dsUeX/WCB5q+v9DoWACBBUGKQ0FL9Pt166Vg9+R8zlJeZqut+9Ya+8vhK7rUEAKDEIDmcMzRPf/38TN0wu0SPLd2p9/zgZS3eVO11LACAhygxSBrpKX595fIy/emGC5WW4tPHf7FE33hqtRpb2ryOBgDwACUGSee8Ef31zBcu0nUzRuo3r27X3Ade1tJtB7yOBQCIM0oMklJmml/feP9Z+uP10xR0Th/52av6zjNr1dQa9DoaACBOKDFIatNGF+rZm2fpY+cP10MLt+h9Dy7Sip21XscCAMQBJQZJr196ir7zoXP020+dr4bmNl35k8W69/n1amnjtgUA0JtRYtBrzBpbrOdumaUPTh6iH83fpCt+/Ire3lPndSwAQIxQYtCr5GWm6vtXT9LPP1muqvpmXfHjRfrRvI3cTBIAeiFKDHqlSycM0Iu3ztK7zxqoe1/YoA//ZLE2VdZ7HQsA0IMoMei1+men6UcfP1c/+vgU7TjQqLk/XKSfL9yiYMh5HQ0A0AMoMej13jdxsF64dbZmjy3Wt59Zq2t+9qq2VTd4HQsAcIYoMegTinPS9dC15+m+qydp/f56Xf7Ay/rtq9sU4qwMACQtSgz6DDPTlecO1Qu3ztLUUQX6r6fW6BMPL9Gug41eRwMAnAZKDPqcQXmZ+s11U/XdK8/Rip21es8PXtajb+yQc5yVAYBkQolBn2Rm+tj5w/XcLbN09pBcffnxVfrUr9/Q/romr6MBALqJEoM+bVhBln7/mWm66/0T9OqWGl12/0L95a3dnJUBgCRAiUGf5/OZ/m3GKEkhk6UAACAASURBVD178yyVFGfrlkeX64bfvanqw81eRwMAnAQlBogYVZStP91wob56eZnmr6vSZfcv1LOr9nodCwBwApQYoBO/z/TZ2SX62xdmakh+pj73yDLd/Me3VNvY4nU0AMAxKDFAF8YOyNET/3Ghbrt0rP6+cq8uu3+h5q3b73UsAEAnlBjgBFL9Pn3hkjH6y40zVJCdpk/9eqnu+NMK1TW1eh0NACBKDHBKZw/J01M3zdCNc0r0+LJdes/9C7VoY7XXsQCgz6PEAN2QnuLXHe8u0+Ofu1AZaX594uEl+vpfVqmhuc3raADQZ1FigChMGd5fz3zhIn1m5ig9smSHLn/gZb2+9YDXsQCgT6LEAFHKSPXr6++boEevny5JuuahV/Wtv72tptagx8kAoG+hxACn6fxRBXr25ov0iQtG6OFFWzX3hy/rrR0HvY4FAH0GJQY4A9npKfrWB8/W7z59gZpagrryJ4t166PLtb2mwetoANDrUWKAHjBzTJGeu3WWrp81Ws+u3qtLvr9AX3tylfYd4oaSABAr1htvdFdeXu6WLl3qdQz0UZV1TfrR/E36w+s75DPTJ6eP0OcuLlVBdprX0QAgKZnZm8658uO2U2KA2Nh5oFEP/HOjnli2S1lpKfr0zFH6zEWjlJOR6nU0AEgqlBjAI5sq63Xfixv0zKp9ys9K1edml+iT00cqM83vdTQASAqUGMBjq3Yd0r0vrNeCDVUK5KTr85eM0TXlw5SWwtA0ADgZSgyQIJZsqdG9L6zXG9sOalhBpm65ZKw+OGWI/D7zOhoAJKQTlRj+ExCIswtGF+qxz07Xr6+bqtyMVN3+pxV6zw8W6rnVe9Ub/6MCAGKFEgN4wMx08biA/nrTTP3vv5yrkHO64XfLdMWPX9HCDVWUGQDoBkoM4CGfzzT3nEF6/pZZuvcjk1RzuEWf/OXr+uhDr2npNu7JBAAnE/MSY2bDzGy+ma01szVmdnNk+0ci70Nmdtx1rk7HbzOzVWa23MwY6IJeKcXv01XnDdW8L87W/7viLG2uatBVP31V1/3qda3efcjreACQkGI+sNfMBkka5JxbZmY5kt6U9EFJTlJI0s8kfdE512VBMbNtksqdc9Xd/U0G9iLZNba06TeLt+unCzbr0JFWvXfiIN126ViVFPfzOhoAxN2JBvamxPqHnXN7Je2NvK43s7WShjjnXowEi3UEIOlkpaXocxeX6OMXDNfDL2/RLxZt1bOr9urD5w7Vze8ao6H9s7yOCACei+uYGDMbKWmKpCVRHOYkvWBmb5rZ9Sf57uvNbKmZLa2qqjqzoECCyMtM1W2XjdPCL83RdTNG6akVe1Rx7wLd9fQaVdZzXyYAfVvc1okxs36SFkj6tnPuiU7bX9LJLycNds7tMbOApBclfd45t/Bkv8XlJPRWe2qP6MF5G/XY0l1K8/t03YyR+uysEuVlcSsDAL2Xp+vEmFmqpMclPdK5wHSHc25P5LlS0pOSzu/5hEByGJyfqe9eOVH/uG22LjtrgH6yYLNm3jNPP5q3UQ3NbV7HA4C4isfsJJP0sKS1zrn7ojw2OzIYWGaWLekySat7PiWQXEYVZeuBj07RM1+4SBeMKtS9L2zQrHvm65eLtqqpNeh1PACIi3jMTpop6WVJqxSejSRJd0pKl/SgpGJJtZKWO+febWaDJf3COTfXzEYrfPZFCg9C/r1z7tun+k0uJ6GvWbbjoO59fr0Wb67R4LwM3fyuMfrwuUOV4mcpKADJj3snAX3AK5uq9b3n12v5zlqNKsrWrZeO1fvOGSQf92UCkMS4dxLQB8woLdKT/3Ghfv7JcqX5ffrCH97S3B++rH+u3c+tDAD0OpQYoJcxM106YYCevfkiPfDRyWpqDerTv1mqK3+yWIs3d3vNSABIeJQYoJfy+UxXTB6iF2+bre9eeY721jbp4z9fok/8YomW76z1Oh4AnDHGxAB9RFNrUL97bbv+96XNOtDQossmDNDtl43TuIE5XkcDgJNiYC8ASdLh5jb9atFWPbRwiw63tOmKSYP1yQtHauyAHPVLj/mdSAAgapQYAEepbWzRTxds0a8Xb1VTa3j1g0F5GSop7qfSQD+VBPqptLifSgLZKu6Xzn3OAHiGEgOgS9WHm7V020FtrjqsTZXhx+aqw2pseWfRvNyMFJUGIuUmUnJKA/00tH+W/EzfBhBjnt3FGkBiK+qXrvecPfCobc457T3U1FFo2svNvHWVemzpro790lJ8Gl2U3XHWpr3kjC7OVkaqP95/FAB9DCUGwHHMTIPzMzU4P1OzxhYf9VltY8sxZ20atGrXIT2zaq/aT+yaScP6Z0VKTXbHmZvS4hxuVgmgx1BiAEQlPytN540o0HkjCo7a3tQa1JaqhncKTtVhba48rEWbqtXSFurYr6hf2lGXpNrP3gzKy2DcDYCoUGIA9IiMVL8mDM7VhMG5R20Phpx2HWw87tLUX1fsUV3TO3fezk7zdxpM/M7YmxGFWUrlHlAAukCJARBTfp9pRGG2RhRm65LxAzq2O+dUfbjlqLM2m6sO69UtNXrird0d+6X4TCMKs44bWFxS3E/ZTAkH+jT+BgDgCTNTcU66inPSNb2k8KjPDje3dZSa9jM3GysP6x9rKxUMvTOjMi3Fp6w0v7JS/cpM8ys7PUWZqf7wtvQUZUVeZ6alKDstvE9WWkr488jr8HF+ZaWmRD73KzPVz00zk1ww5NQWCqk7E3C72sfp+I1d73ei7+zi+G7+dnqKj4Hx3USJAZBw+qWnaNKwfE0aln/U9pa2kHYcaOgYUFzX1KojLUE1tgR1pCWohpY2NbYEVX24RQ0HGjs+a2xpU2swuuUkMjsKkF/Zae8UnM4l6PjP3vm8/bOsY8pTekr40phz4X/UQs7JufBz+/aQc0d95tqfj93W+b2kUKTghbqzf6ff7JzBtWdr3z/0znNbpBi0BdtfOwVDIbUGXaQ0OLUFQwqGXGRbKLKtq33D3xMMObWe4HvCx7zzOvw9nb//nUzBoFNr5LO2kOtWeUlUfp9p8rB8zSgt0szSIk0elq+0FC6pdoV1YgD0Ca3B0FFlp73gdH7dGClB4f3a1BDZv/P2rj4L9b6/RnuUz6QUv08pPpPfZ0r1+8LPPpPfb0rxvfNZSqf37a/Dx0Q+9/mUEnmd6vNFjn9ne/i1yR9539VYcdPxG7ver4tt3fy+E+3b9X5H71hzuFmLN9do5a5ahZyUlebXBaMKwqVmTJHGDcjpc4PgWScGQJ+W6vcpL9OnvMyeneLtnFNzW+i4EtQYKUcNkdLTvr2pNSiz8D97Pgv/I+uz8D9kZuF/EDu2RV6bWeR9+MaeJkkd2yLP7d9x1Pe+84/4Udv0zu+98z78Wp22+ToyqaNg+I8qGJ1Lhi9SMo4uHyk+49LcaTp0pFWvbanRK5uqtWhTteb/fa2k8Ay/GaVFHY8h+ZkeJ/UOZ2IAAEgCe2qP6JVN1ZFSU6Pqw82SpNFF2R2FZvrowl65FhO3HQAAoJdwzmnD/vA6TK9sqtZrW2rU2BKUz6RzhuZrZmmhZpQW6dzh/XvFIGFKDAAAvVRLW0grdtVq0cZwqXlrZ62CIaeMVJ+mjizQzMiZmgmDcpPy8h4lBgCAPqK+qVWvbz3QcaZmw/7DkqT+Wam6MDLraWZpkYYVZHmctHsY2AsAQB+Rk5GqS8YP6Fhgcn9dkxZvrtaijTVatKlKf1+5V5I0vCCrYyr39JJCFWSneRk7apyJAQCgD3HOaXNVQ8esp9c216i+uU1m0lmDcztKzdSRBQkznobLSQAA4DhtwZBW7j6kVzaGS82yHQfVGnRKS/GpfET/jlJz9pA8+T0aT0OJAQAAp9TY0qbXtx7omMq9dm+dJCk3I0UXlhRpxphwqRlZmBW3RfcYEwMAAE4pKy1FF48L6OJxAUlSdWQF4fYzNc+t2SdJGpKfqRmRqdwXlhSpOCc97lk5EwMAALrFOaftNY0ds54Wb67RoSOtkqT3TxqsBz82JSa/y5kYAABwRsxMI4uyNbIoW5+YNkLBkNOaPYe0aFO1CrLiP7OJEgMAAE6L32eaODRfE4fmn3rnGODe3gAAIClRYgAAQFKixAAAgKREiQEAAEmJEgMAAJISJQYAACQlSgwAAEhKlBgAAJCUKDEAACApUWIAAEBSosQAAICkRIkBAABJiRIDAACSUq+8i/W2bdtUXl7udQwAANAzzu1qY68sMSNHjtTSpUu9jgEAAHqAmS3rajuXkwAAQFKixAAAgKREiQEAAEmJEgMAAJISJQYAACQlSgwAAEhKlBgAAJCUKDEAACApUWIAAEBSosQAAICkRIkBAABJiRIDAABOWyjktHr3Ib2142Dcf7tX3gASAADEhnNO22satWhTtRZvrtarm2t0sLFVM0uL9LvPXBDXLJQYAABwUpX1TXp1c41e2VStVzbVaHftEUnS4LwMXTJ+gGaUFurCkqK456LEAACAo9Q3tWrJlgN6ZXO1Fm+q0fr99ZKkvMxUTR9dqBsuLtGMkkKNKsqWmXmWkxIDAEAf19wW1Fs7aiNnWqq1YtchBUNO6Sk+nT+qQB+cMkQzS4s0YXCu/D7vSsuxKDEAAPQxoZDT23vrwqVlc41e31qjptaQfCZNHJqvz80u0YWlhTp3eH9lpPq9jntClBgAAHq59sG4r2wOn2lpH4wrSWMC/fTRqcN1YUmhLhhdqLzMVI/Tdh8lBgCAXqiqvlmLI6Wl82DcQXkZqigboJljwoNxB+RmeJz09FFiAADoBeqbWvX61gPhqc+dBuPmZqTowpIi3TB7tGaUFnk+GLcnUWIAAEhC7YNxF2+q1qJjBuNOHRkejDujtFBnDc5LqMG4PYkSAwBAEjh2MO4bWw/oSGuwYzDuDbNHa0ZJkc4dkdiDcXsSJQYAgATUeTDu4k01Wry5umMwbmmgn64uH6oZpUVJNxi3J1FiAADwQDDk1NjSpiMtQTW0BNXY0qbGlqD21B45bjDuwNzwYNwZpYWaUZrcg3F7EiUGAICTaA2G1NgSjJSNSOloDheOxs7bOj4L6khrmxqag5F92tTQEtSRlrbIZ+Hjm9tCJ/zN3IwUTS8p1A2zR+vC0iKN7kWDcXsSJQYA0Gu0BkOqb2pT3ZFW1TW1RopEW0eZaC8eje2FIlI+jvu8uU2NrUE1NgfVEjxx2TiWmZSdlqLMNL+y0/zKTEtRdppfeZmpGpSboax0v7LS/J32iTyn+5WZmqLsdL8KstNUNjCxVsZNVJQYAEDCaAuGdLi5TXVH2nQoUkTqOp7bOr1vO2p7+76NLcFu/Y7fZx1lIivNHy4XqSkqyE7TsP7Hl5Bw0Yjs237MMa+z01OUnuLjjEkceVpizOw9kh6Q5Jf0C+fc3cd8bpHP50pqlPRvzrllcQ8KAOiWYMjpcFO4bBzqqnx0UUA6F5PDzW0n/X6fSbmZqcrNSFVuZopyM1I1qii743X4s5SOfdqLR3b60YUkzU/Z6A08KzFm5pf0Y0mXStol6Q0ze9o593an3S6XNCbyuEDSTyLPAIAYCoacag43q7K+WfvrmnSgoeWE5ePQkdaOSzj1pyghZlJOeorysiJFJCNVIwqzOhWQ1K4LSWaq8jJTlZ3mp3ygg5dnYs6XtMk5t0WSzOyPkq6Q1LnEXCHpt845J+k1M8s3s0HOub3xjwsAya+9nOyva1ZlfdPRz3VNHaWl+nCzQq7r78jJOLpkDCsIl5C8zBMUkPZikpmqfmkp8jHWAz3EyxIzRNLOTu936fizLF3tM0QSJQYAOumqnOyPlJJTlRMzqTA7TYGcDAVy0zVhUK4G5KarODdDA3LSFcjNUGF2WriEpKcw4BQJw8sS09X/Co7t/d3ZJ7yj2fWSrpekwsJC3XXXXWcUDgASQSjk1BiZkht+BHW4uU0NLW1HbWtsaevyL8f2wavZ6eHHmHS/stJT1K9jW3hAq7/NpIMKPyTVRR6b4/dHBaJm4Ss1Hvyw2XRJdznn3h15/1VJcs59t9M+P5P0knPuD5H36yVdfKrLSeXl5W7p0qUxyw4AZ6otGFJNQ4sqI2dM9tc3qTJyFqWyrrnj/anOnAzITe94bj9zMiA3fEalqF+6Uv0+b/6AQA8yszedc+XHbvfyTMwbksaY2ShJuyV9VNLHj9nnaUk3RcbLXCDpEONhACSTlraQ1u+r1/JdtVq5s1br9tVrX12TarpRTs4alEc5AU7CsxLjnGszs5skPa/wFOtfOufWmNkNkc9/KukZhadXb1J4ivV1XuUFgFMJhZy21TRoxa5ardh5SCt21WrNnjq1RFZmLcxO01lD8o4bc0I5AU6PZ5eTYonLSQDiobKuSct31naUlpW7alXXFJ5inJXm1zlD8jRpWL4mDc3XpGF5GpKfyfRg4DQk4uUkAEgadU2tWr3rkJbvqtWKneHSsq+uSZKU4jOVDcrR+yYN1uSh+Zo0LF+lgX7M4gFijBIDAMdobgtq7d56rdxVGz7TsrNWm6saOj4fVZStaaMLNDFSWM4anKuMVL+HiYG+iRIDoE8LhZy2VB/W8sjloBU7a/X23jq1BsOX2ov6pWvysHx9cPIQTRqWr4lD85SfleZxagASJQZAH+Kc0766Jq3YWdtRWlbtOtSxVH52ml8Th+brUzNHdVwWGpSXwTgWIEFRYgD0WocaW7Vyd+1RpaWyvlmSlOo3jR+Uqw9OGaKJQ/M0eVi+RhczjgVIJpQYAL1CU2tQb++tiwy6rdWKXYe0tfqdcSyji7M1s7RIE4eGZwyNH8Q4FiDZUWIAJKWt1Q16Y9uBSGGp1bq99WqLrB4XyAmPY7nqvKGaNDRf5wzNU15mqseJAfQ0SgyApNLQ3KZ7nlun3762Xc5JOekpmjgsT9fPGq2JQ/M1eVi+BuZleB0TQBxQYgAkjZc3Vukrj6/SnkNH9MlpI3Tt9JEaXZQtH+NYgD6JEgMg4R1qbNV///1t/enNXRpdnK3HPjtdU0cWeB0LgMcoMQAS2vNr9unrf1mtAw0t+tzFJbr5kjEMyAUgiRIDIEFVH27WN55eo7+v3Kvxg3L1q3+bqrOH5HkdC0ACocQASCjOOT21fI+++dc1amgO6vZLx+qGi0u4uzOA41BiACSMPbVH9PW/rNa8dZWaMjxf93x4osYMyPE6FoAERYkB4LlQyOkPb+zQd59Zp2DI6T/fN0H/duFIVs8FcFKUGACe2l7ToC8/vlKvbTmgC0sKdfeVEzW8MMvrWACSACUGgCeCIadfvbJV976wXqk+n7575Tn66NRh3GwRQLdRYgDE3Yb99frSn1dq+c5aXVIW0H9/6GwNysv0OhaAJEOJARA3LW0h/XTBZj04b6P6pafogY9O1gcmDebsC4DTQokBEBcrd9XqS39eqXX76vX+SYP1jfdPUFG/dK9jAUhilBgAMdXUGtT9/9igny/coqJ+6fr5J8t16YQBXscC0AtQYgDEzOtbD+grj6/UluoGXVM+THe+d7zyMlO9jgWgl6DEAOhxh5vbdM9z6/TbV7draP9M/e7TF2jmmCKvYwHoZSgxAHrUgg1VuvOJVdpz6IiumzFSX7xsnLLT+asGQM/jbxYAPaK2sUXf+ttaPb5sl0qKs/XnG6brvBEFXscC0ItRYgCcsedW79V/PrVGBxpadOOcEn2+YowyUv1exwLQy1FiAJy2qvpmfePp1Xpm1T5NGJSrX/3bVJ09JM/rWAD6CEoMgKg55/TkW7v1//72thqbg7rj3eN0/azRSvX7vI4GoA+hxACIyp7aI7rzyVV6aX2VzhvRX//z4YkqDfTzOhaAPogSA6BbQiGn37++Q3c/u07BkNM33j9Bn5w+Un4ftwwA4A1KDIBT2lbdoC8/vlJLth7QjNJC3X3lRA0ryPI6FoA+jhID4ISCIaeHF23R91/YoLQUn/7nw+fo6vJh3LARQEKgxADo0vp99frSn1doxa5Detf4Afr2h87WgNwMr2MBQAdKDICjtLSF9L8vbdKP529STkaqfvixKXr/xEGcfQGQcCgxADqs2FmrLz++Uuv21euKyYP1X++boMJ+6V7HAoAuUWIAqKk1qPtf3KCfv7xFxTnp+sUny/WuCQO8jgUAJ+VJiTGzAkmPShopaZukq51zB4/ZZ5ik30oaKCkk6SHn3APxTQr0bnVNrVq0sVrfe369tlY36GPnD9NXLh+vvMxUr6MBwCl5dSbmK5L+6Zy728y+Enn/5WP2aZN0u3NumZnlSHrTzF50zr0d77BAbxEMOa3efUgLN1Rp4cYqLdtRq2DIaVhBpn7/mQt0YWmR1xEBoNu8KjFXSLo48vo3kl7SMSXGObdX0t7I63ozWytpiCRKDBCFfYeatHBjlRZuqNIrm6p1sLFVknTOkDzdMHu0LhpTrPNG9OeWAQCSjlclZkCkpMg5t9fMAifb2cxGSpoiaclJ9rle0vWSNHz48B4LCiSbptagXt96QC9vrNLCDdVav79eklSck645ZQHNHlusmaVFDNgFkPRiVmLM7B8Kj2c51tei/J5+kh6XdItzru5E+znnHpL0kCSVl5e7aH4DSGbOOW2sPBy5RFStJVtq1NwWUprfp6mj+uvKc8s0a2yxygbmME0aQK8SsxLjnHvXiT4zs/1mNihyFmaQpMoT7JeqcIF5xDn3RIyiAknnYEOLXtlcrYUbqvTyxmrtPdQkSSopztbHLxiuWWOLdcGoAmWlMQERQO91Wn/Dmdky59y5Z/C7T0v6V0l3R56f6uI3TNLDktY65+47g98Ckl5bMKTlO2u1cEOVFmys1spdtXJOys1I0cwxRfrCmGLNGlusIfmZXkcFgLg5rRJzhgVGCpeXx8zs05J2SPqIJJnZYEm/cM7NlTRD0rWSVpnZ8shxdzrnnjnD3waSws4DjR0DchdvqlF9c5t8Jk0elq8vVIzRrLHFmjQ0TykMyAXQR3WrxJjZQEnnS3KS3nDO7TuTH3XO1Ui6pIvteyTNjbxeJIkL+OgzGprb9NqWmo5LRFuqGyRJg/My9N6JgzRrbLFmlBQpL4s1XABA6kaJMbPPSPovSfMULhUPmtn/c879MtbhgN4sFHJ6e2+dXt4YHtuydPsBtQadMlJ9mja6UJ+YNkKzxharpDibAbkA0IXunIm5Q9KUyNkTmVmhpMWSKDFAlKrqm7VoU3jq88sbq1R9uEWSVDYwR5+aMUoXjSlW+cj+ykj1e5wUABJfd0rMLkn1nd7XS9oZmzhA79LcFtSb2w9q4Ybw2Za394ZXCSjITtNFY4p00ZhizRpTpEBuhsdJASD5dKfE7Ja0xMyeUnhMzBWSXjez2ySJmUPAO5xz2lrd0LFmy2tbatTYElSKz3TuiP66493jNGtMsc4anCufj0tEAHAmulNiNkce7dqnQ+f0fBwgeS3ddkC3PrZcOw8ckSSNKMzSh88dqlljizW9pFD90lmzBQB60in/VnXOfTMeQYBkVnO4WTf+fpnSU/z61gfP1qwxRRpRmO11LADo1bozO6lY0pcknSWp48K9c64ihrmApOGc0xf/tEIHG1v15H9M1VmD87yOBAB9QndWyXpE0jpJoyR9U9I2SW/EMBOQVB5etFXz11fp6+8dT4EBgDjqTokpdM49LKnVObfAOfcpSdNinAtICit21up/nlunyyYM0LXTRngdBwD6lO6MNGyNPO81s/dK2iNpaOwiAcmhvqlVn//DWyrul657rprIgnQAEGfdKTH/bWZ5km6X9KCkXEm3xjQVkOCcc7rzydXaXXtEj14/TflZaV5HAoA+pzuzk/4WeXlI0pzYxgGSw2NLd+qvK/bojnePU/nIAq/jAECfxO1vgSht3F+vbzy9RjNKC3XD7BKv4wBAn0WJAaLQ1BrUTb9/S9lpKbr/6snys+ouAHiGJUSBKHzrb29r/f56/fq6qdzvCAA8dlpnYszs3J4OAiS6Z1bt1SNLduizs0fr4nEBr+MAQJ93upeTPtejKYAEt/NAo778+EpNHpavL142zus4AACdZolxzv17TwcBElVrMKTP/+EtyUkPfmyKUv0MJQOARHDKv43N7Gkz+7iZcTc79Enff2GDlu+s1d0fnqhhBVlexwEARHTnPym/L2mmpLfN7E9mdpWZMaIRfcLCDVX66YLN+vgFw/XeiYO8jgMA6KQ7i90tkLTAzPySKiT9u6RfKrxyL9BrVdY36bbHlmvcgBz91/smeB0HAHCMbk2xNrP/396dx8dV3vce/3wty7uNVxyvGIxtwmYMAswS7LDkJg4JgQQC3KSQFwldEiChzdbkZmnaW5rb5KakbVoKJaQBFwJx4BbKmkhmJ94Ag5FsvGFs7JH3BS+SfvePOSbGaDmyNHNmpO/79dJrZs4czfliwPrpeZ7fefoCHwM+DZwM3FHIUGZZa2oKvnL3InbsaeCuL0ynT2VF1pHMzOwgbRYxku4GTgceBv4JqI6IpkIHM8vSz2pe5+llG7npkhOYPHJg1nHMzKwZaUZibgeujIjGQocxKwXzV23ix4/V8bGpo/n0qeOyjmNmZi1Is7B3LvBNSbcASJok6cLCxjLLxpZde7l+9iLGDO7L31x8PJK3FTAzK1Vpipjbgb3AmcnrNcBfFyyRWUYigq/f9xLrt+3mp1dMY1CfyqwjmZlZK9IUMRMj4ofAPoCIeBvwr6fW5fzyuVU88sp6vv7hY5g6bnDWcczMrA1pipi9SXdSAEiaCOwpaCqzInt17TZ+8OASZk4ZwTVnH5l1HDMzSyHNwt7vku9MGifpTuAs4OpChjIrpl17G/jS7AUM7lvJjy6dSo8eHmg0MysHrRYxyq9qfA24BJhOfhrphoioL0I2s6L4zv2vsKJ+J3d+/nSGDeiddRwzM0up1SImIkLSbyLiFODBImUyK5o5C9dw7/w1XH/u0Zw5cXjWcczMrB3SrIl5TtKpBU9iVmQr6nfy7TmLOW3CUK4/b1LW+9oqrAAAIABJREFUcczMrJ3SrIn5IPAnklYCO8lPKUVEnFjIYGaFtKehketmL6CyZw9+cvlJ9KxIU8+bmVkpSVPEfKTgKcyK7Kb/fo3Fb27j3/6oitGD+2Ydx8zMDkGaXaxXSToZOJt8m/XTEbGg4MnMCuSxV9dz+9MrufrMCVxw7Mis45iZ2SFqcwxd0nfI71o9DBgO3C7p24UOZlYI67a+zVfvfZHjRg/im7OOyTqOmZl1QJrppCuAaRGxG0DSTcACOrD1gKShwN3ABGAlcFlEbG7h3ApgHvBmRHjPJjtkDY1N3DB7EfsamvjHK0+md8+KrCOZmVkHpFnNuBLoc8Dr3sDrHbzuN4AnImIS8ETyuiU3AEs6eD0zbv7tMl5YuYm/vvh4jhzeP+s4ZmbWQWmKmD3AK5J+Lul2YDGwQ9LNkm4+xOteRH6KiuTxE82dJGks8FHg1kO8jhkAz7xez09/u5RPnjyWi6eNzTqOmZl1gjTTSXOSr/2qO+G6IyNiHUBErJN0eAvn/QT4GjCwrQ+UdC1wLcD48eM7IaJ1FRt37OErdy/iyOH9+auLjss6jpmZdZI03Ul3tHVOcyQ9Dryvmbe+lfL7LwQ2RMR8STPbOj8ibgFuAaiqqop2RLUuLCL4i1+9yOZd+/j3q0+lf+80dbuZmZWDgv2NHhHnt/SepPWSRiWjMKOADc2cdhbwcUmzyK/JGSTplxHxmQJFti7otqdW8LvaHH910XEcN/qwrOOYmVknyuo2pQ8AVyXPrwLuP/iEiPhmRIyNiAnA5cBvXcBYe7y0Zgt/9/BrfOjYkXx2+hFZxzEzs07WriJGUg9JgzrhujcBF0haClyQvEbSaEkPdcLnWze3ffc+vnTXQkYM6M0PP3Ui+Q3ZzcysK0lzs7u7JA2S1B94FaiV9NWOXDQiNkbEeRExKXnclBxfGxGzmjm/2veIsbQigr+cs5g3t7zNzVdMY3C/XllHMjOzAkgzEnNsRGwj3wb9EDAe+GxBU5l1wK/mreH/vbiWGy+YTNWEoVnHMTOzAklTxFRKqiRfxNwfEfvI76FkVnKWrt/Odx5YzFlHD+NPZkzMOo6ZmRVQmiLmX8nftbc/MFfSEcC2QoYyOxS79zXypbsW0r9XT/7vZSdR0cPrYMzMurI0Rcw/RcSYiJgVEQGsBj5Y4Fxm7faD/3qV2vXb+dFlUzl8UJ+2v8HMzMpamiJmhaRbJJ0nSZHXUPBkZu3w0MvruPP51fzxjKOYOaWlG0CbmVlXkqaImQI8DnyRfEHzj5LOLmwss/Te2LSLr9/3EieNG8xffGhK1nHMzKxI2ixiIuLtiLgnIi4BpgGDgJqCJzNLYV9jE9fNXggBP71iGpUVWd2/0czMii3V3/iSZkj6Z2AB+S0ALitoKrOUfvRoHYve2MJNnzyRcUP7ZR3HzMyKqM29kyStABYB9wBfjYidBU9llsLcuhz/UvM6V54+no+eOCrrOGZmVmRpNoCcmtzszqxkbNi+mxvvWcSUkQP5zoXHZh3HzMwy0GYR4wLGSk1TU3Dj3S+yY08Dd31hOn0qK7KOZGZmGUgzEmNWUn5W8zpPLavnpktOYPLIgVnHMTOzjLiVw8rK/FWb+PFjdXxs6mg+feq4rOOYmVmG0izs7Q18Ephw4PkR8VeFi2X2Xlt37eP62YsYM7gvf3Px8UjeVsDMrDtLM510P7AVmA/sKWwcs+ZFBF+770XWb9vNfX96JoP6VGYdyczMMpamiBkbER8ueBKzVvzyuVU88sp6vjXr/UwdNzjrOGZmVgLSrIl5RtIJBU9i1oJX127jBw8uYeaUEVxz9pFZxzEzsxKRZiTmbODq5KZ3ewABEREnFjSZGbBrbwNfmr2AwX0r+dGlU+nRw+tgzMwsL00R85GCpzBrwXfuf4UV9Tu58/OnM2xA76zjmJlZCWmxiJE0KLnR3fYi5jF7x5yFa7h3/hquP/dozpw4POs4ZmZWYlobibkLuJB8V1KQn0baL4CjCpjLurkV9Tv59pzFnDZhKNefNynrOGZmVoJaLGIi4sLk0SspraiamoLrZy+ksmcPfnL5SfSs8D0ZzczsvVJtOyBpCDAJ6LP/WETMLVQo694Wr93Ky29u5aZLTmD04L5ZxzEzsxKV5o69nwduAMYCi4DpwLPAuYWNZt1VdW0OCS44dmTWUczMrISlGae/ATgVWBURHwSmAbmCprJuraYux4ljDnM3kpmZtSpNEbM7InZDfh+liHgNmFLYWNZdbdm1l4WrNzNj8oiso5iZWYlLsyZmjaTBwG+AxyRtBtYWNpZ1V08uracpYMaUw7OOYmZmJa7NIiYiLk6efk/S74DDgIcLmsq6rZq6HIf1reQk749kZmZtSLOwd+gBL19OHqMwcaw7a2oKaupyfGDScCq8vYCZmbUhzZqYBeQX8tYBS5PnKyQtkHRKIcNZ97LkrW3ktu9hpqeSzMwshTRFzMPArIgYHhHDyO+ldA/wZ8A/FzKcdS/Vtfmmt3Mme4sBMzNrW5oipioiHtn/IiIeBc6JiOcA98Bap6mpzXHc6EEcPrBP2yebmVm3l6aI2STp65KOSL6+BmyWVAE0FTifdRPbdu9jvlurzcysHdIUMVeSv1vvb5KvccmxCuCywkWz7uTppfU0NoXXw5iZWWppWqzrgetaeHtZ58ax7qq6NsfAPj05ebxbq83MLJ1MtgeWNFTSY5KWJo9DWjhvsKR7Jb0maYmkM4qd1QovIt9affbRw71jtZmZpZbVT4xvAE9ExCTgieR1c/4BeDgijgGmAkuKlM+KqHb9dt7atpuZU7wexszM0suqiLkIuCN5fgfwiYNPkDQIOAe4DSAi9kbElqIltKKpSVqrZ0z2ehgzM0uvzSJG0mRJT0hanLw+UdK3O3jdkRGxDiB5bO6n11Hkb6x3u6SFkm6V1L+D17USVF2b45j3DeR9h7m12szM0kszEvNvwDeBfQAR8RJweVvfJOlxSYub+booZbaewMnAzyJiGrCTlqedkHStpHmS5uVyuZSXsKzt2NPAvFWbmOGpJDMza6c0u1j3i4gXpHftZdPQ1jdFxPktvSdpvaRREbFO0ihgQzOnrQHWRMTzyet7aaWIiYhbgFsAqqqqvLdTmXhmWT37GsP3hzEzs3ZLMxJTL2kiyaaPkj4FrOvgdR8ArkqeXwXcf/AJEfEW8IakKcmh84BXO3hdKzHVdTn696qg6oihbZ9sZmZ2gDQjMV8kP8JxjKQ3gRXAZzp43ZuAeyRdA6wGLgWQNBq4NSJmJeddB9wpqRewHPhcB69rJSQiqKnNcdbRw+nV063VZmbWPmludrccOD9ZVNsjIrZ39KIRsZH8yMrBx9cCsw54vQio6uj1rDS9ntvBm1ve5s8+ODHrKGZmVoZaLGIk3djCcQAi4scFymTdxP5dq73VgJmZHYrWRmIGJo9TgFPJr2MB+Bgwt5ChrHuoqcsx6fABjBncN+soZmZWhlosYiLi+wCSHgVO3j+NJOl7wK+Kks66rF17G3h++Sb+6Iwjso5iZmZlKs1qyvHA3gNe7wUmFCSNdRvPvr6RvY1NnkoyM7NDlqY76T+AFyTNId9mfTHwi4Kmsi6vpi5H38oKTj2y2b0/zczM2pSmO+lvJP038IHk0OciYmFhY1lXFhFU1+Y4c+IwevesyDqOmZmVqTR7J40H6oE5ydfG5JjZIVm5cRerN+3yrtVmZtYhaaaTHiS5Wy/QFzgSqAWOK1Qo69qqa/O7THjXajMz64g000knHPha0snAHxcskXV51bU5jhren/HD+mUdxczMyli77/UeEQvI3zfGrN1272vkueUbOccbPpqZWQe1ORJz0J17ewAnA7mCJbIu7bnlG9nT0OT1MGZm1mFp1sQMPOB5A/k1MvcVJo51ddW1OXr37MH0o4ZlHcXMzMpcmiLm1Yh41x16JV2K79prh2BuXY7pRw2jT6Vbq83MrGPSrIn5ZspjZq1avXEXy+t3eirJzMw6RWu7WH8EmAWMkXTzAW8NIj+tZNYuNXX51mpvNWBmZp2htemktcA84OPA/AOObwe+UshQ1jVV1+YYP7QfE9xabWZmnaC1XaxfBF6UdGdEeOTFOmT3vkaeeX0jl1aNRVLWcczMrAtobTrpnoi4DFgoKQ5+PyJOLGgy61LmrdzM2/sameH7w5iZWSdpbTrphuTxwmIEsa6tunYDvSp6cMZEt1abmVnnaG06aV3yuKp4cayrqq7LcfpRQ+nXK01Xv5mZWdvS7GJ9iaSlkrZK2iZpu6RtxQhnXcOazbtYtmGHp5LMzKxTpfm1+IfAxyJiSaHDWNdUU5ffpcL3hzEzs86U5mZ3613AWEfU1OYYM7gvE0cMyDqKmZl1IWlGYuZJuhv4DbBn/8GI+HXBUlmXsbehiaeX1XPRtDFurTYzs06VpogZBOwCPnTAsQBcxFib5q3axM69jcz0ehgzM+tkbRYxEfG5YgSxrqmmLkdlhTjz6OFZRzEzsy6mzSLmoH2T9tsKzIuI+zs/knUlNbU5qo4YyoDebq02M7POlWZhbx/gJGBp8nUiMBS4RtJPCpjNyty6rW/z2lvb3ZVkZmYFkebX46OBc/fvnyTpZ8CjwAXAywXMZmVubtJaPcNFjJmZFUCakZgxQP8DXvcHRkdEIwd0K5kdrLo2x/sG9WHKyIFZRzEzsy4o7c3uFkmqBgScA/xvSf2BxwuYzcrYvsYmnlpaz6wTRrm12szMCiJNd9Jtkh4CTiNfxPxlRKxN3v5qIcNZ+Vq4egvb9zR4PYyZmRVMmukkgN3AOmATcLSkcwoXybqC6toNVPQQZ01ya7WZmRVGmhbrzwM3AGOBRcB04Fng3MJGs3JWU5fjlPFDGNSnMusoZmbWRaUZibkBOBVYFREfBKYBuYKmsrK2YftuXlm7zV1JZmZWUGmKmN0RsRtAUu+IeA2YUthYVs5qar1rtZmZFV6aImaNpMHkN4B8TNL9wNo2vqdVkoZKekzS0uRxSAvnfUXSK5IWS5otqU9HrmvFUVOXY8TA3hw7alDWUczMrAtrs4iJiIsjYktEfA/4X8BtwCc6eN1vAE9ExCTgieT1u0gaA1wPVEXE8UAFcHkHr2sF1tDYxJNL65kxeYRbq83MrKBSdSdJGiLpRGA7sAY4voPXvQi4I3l+By0XRT2BvpJ6Av3o4AiQFd6La7ay9e19zPCu1WZmVmBpupN+AFwNLAeaksNBx7qTRkbEOoCIWCfp8INPiIg3Jf09sBp4G3g0Ih5tJee1wLUA48eP70A064ia2g30EHzArdVmZlZgae7YexkwMSL2tueDJT0OvK+Zt76V8vuHkB+xORLYAvxK0mci4pfNnR8RtwC3AFRVVUV7slrnqa7LMW38EAb365V1FDMz6+LSFDGLgcHAhvZ8cESc39J7ktZLGpWMwoxq4bPPB1ZERC75nl8DZwLNFjGWvfode3hpzVZuvGBy1lHMzKwbSFPE/C2wUNJiDtjwMSI+3oHrPgBcBdyUPN7fzDmrgemS+pGfTjoPmNeBa1qBPbnUrdVmZlY8aYqYO4C/A17mD2tiOuom4B5J15AvVi4FkDQauDUiZkXE85LuBRYADcBCkukiK03VtTmG9e/F8aMPyzqKmZl1A2mKmPqIuLkzLxoRG8mPrBx8fC0w64DX3wW+25nXtsJobArm1uWYOeVwevRwa7WZmRVemiJmvqS/JT8FdOB00oKCpbKy8/KbW9m8a5+nkszMrGjSFDHTksfpBxzraIu1dTE1tTkk+MAkFzFmZlYcbRYxyaaPZq2qrtvAiWMHM7S/W6vNzKw4Ut2x16w1m3fuZdEbW5jpu/SamVkRuYixDntyWT0RMMPrYczMrIhcxFiHVdduYHC/SqaOHZx1FDMz60bSLOxF0pnAhAPPj4hfFCiTlZGmpLX6A5NGUOHWajMzK6I0G0D+BzARWAQ0JocDcBFjvLpuG/U79no9jJmZFV2akZgq4NiI8KaK9h7Vtfltr85xEWNmZkWWZk3MYprfjdqMmrocx48ZxIiBvbOOYmZm3UyakZjhwKuSXqDzNoC0LmDr2/tYsHoLfzpjYtZRzMysG0pTxHyv0CGsPD21tJ7GpvBWA2Zmlok0d+ytKUYQKz81dRsY1KcnJ41za7WZmRVfm2tiJE2X9HtJOyTtldQoaVsxwlnpighqktbqnhW+3ZCZmRVfmp8+/whcASwF+gKfT45ZN7Zk3XbWb9vDDHclmZlZRlLd7C4ilkmqiIhG4HZJzxQ4l5W4mroc4K0GzMwsO2mKmF2SegGLJP0QWAf0L2wsK3XVtRt4/6hBjBzUJ+soZmbWTaWZTvpsct6XgJ3AOOCThQxlpW377n3MX7XZU0lmZpapNN1JqyT1BUZFxPeLkMlK3NPLNtLg1mozM8tYmu6kj5HfN+nh5PVJkh4odDArXTV1GxjQuyenHDEk6yhmZtaNpZlO+h5wGrAFICIWkd/R2rqhiKCmNsdZRw+j0q3VZmaWoTQ/hRoiYmvBk1hZWLphB2u37mbmlMOzjmJmZt1cmu6kxZKuBCokTQKuB9xi3U3t37Xai3rNzCxraUZirgOOI7/542xgG/DlQoay0lVTl2PyyAGMHtw36yhmZtbNpelO2gV8K/mybmznngZ+v2IzV581IesoZmZmLRcxbXUgRcTHOz+OlbJnX9/I3sYmTyWZmVlJaG0k5gzgDfJTSM8DKkoiK1nVdRvo16uCqglurTYzs+y1VsS8D7iA/OaPVwIPArMj4pViBLPSEhFU1+Y4c+IwevesyDqOmZlZywt7I6IxIh6OiKuA6cAyoFrSdUVLZyVjef1O1mx+mxlurTYzsxLR6sJeSb2Bj5IfjZkA3Az8uvCxrNRU1+Z3rZ7p9TBmZlYiWlvYewdwPPDfwPcjYnHRUlnJqanLcdSI/owb2i/rKGZmZkDrIzGfJb9r9WTgeumddb0CIiIGFTiblYi39zby3PKNfOb0I7KOYmZm9o4Wi5iI8MY4BsBzyzeyt6HJu1abmVlJcaFibaqpy9GnsgenHTk06yhmZmbvcBFjbaqu3cAZRw2jT6Vbq83MrHRkUsRIulTSK5KaJFW1ct6HJdVKWibpG8XMaHkr63eycuMu36XXzMxKTlYjMYuBS4C5LZ0gqQL4J+AjwLHAFZKOLU4826+mLmmt9v1hzMysxLS5AWQhRMQSgAM6nppzGrAsIpYn5/4ncBHwasED2juqazcwYVg/Jgzvn3UUMzOzdynlNTFjyO/dtN+a5JgVye59jTy7fKOnkszMrCQVbCRG0uPk91862Lci4v40H9HMsWjletcC1wKMHz8+VUZr3QsrNrF7X5OnkszMrCQVrIiJiPM7+BFrgHEHvB4LrG3lercAtwBUVVW1WOxYetW1OXr17MH0o4ZlHcXMzOw9Snk66ffAJElHSuoFXA48kHGmbqWmbgOnHzmUvr3cWm1mZqUnqxbriyWtAc4AHpT0SHJ8tKSHACKiAfgS8AiwBLgnIl7JIm939MamXbye2+mpJDMzK1lZdSfNAeY0c3wtMOuA1w8BDxUxmiWqk9ZqL+o1M7NSVcrTSZahmtocY4f0ZeIIt1abmVlpchFj77GnoZFnXq9n5pQRbd3Lx8zMLDMuYuw95q/czK69jcyY7PUwZmZWulzE2HtU1+WorBBnTnRrtZmZlS4XMfYe1bUbOHXCUPr3zmTdt5mZWSouYuxd1m55m7r1O5g5xV1JZmZW2lzE2Lt412ozMysXLmLsXaprNzDqsD5MOnxA1lHMzMxa5SLG3rGvsYmnl210a7WZmZUFFzH2jvmrNrNjT4Nbq83MrCy4iLF31NTl6NlDnHW0W6vNzKz0uYixd1TX5jjliCEM7FOZdRQzM7M2uYgxANZv282SdduY4dZqMzMrEy5iDDigtdrrYczMrEy4iDEgv2v14QN78/5RA7OOYmZmloqLGKOhsYknl+aYMdmt1WZmVj5cxBiL3tjCtt0NvkuvmZmVFRcxRnVtjooe4uxJw7OOYmZmlpqLGKOmLse0cYM5rK9bq83MrHy4iOnmctv38PKbW71rtZmZlR0XMd3c3KS12lsNmJlZuXER083V1OUYPqAXx40elHUUMzOzdnER0401NgVzl+Y4Z/IIevRwa7WZmZUXFzHd2ItrtrBl1z5mTPZ6GDMzKz8uYrqxmtocEpwzyUWMmZmVHxcx3Vh1XY6pYwczpH+vrKOYmZm1m4uYbmrTzr28tGaLW6vNzKxsuYjppp5cmiMCbzVgZmZly0VMN1Vdm2NIv0pOGHNY1lHMzMwOiYuYbqipKZhbl2+trnBrtZmZlSkXMd3Q4rVb2bhzr9fDmJlZWXMR0w1V1+a3GviAW6vNzKyMuYjphmrqcpw49jCGD+iddRQzM7ND5iKmm9myay8LV2/2XXrNzKzsuYjpZp5aVk9T4PUwZmZW9lzEdDPVtTkO61vJ1LGDs45iZmbWIZkUMZIulfSKpCZJVS2cM07S7yQtSc69odg5u5qmpqCmLsfZk4bTs8L1q5mZlbesfpItBi4B5rZyTgPw5xHxfmA68EVJxxYjXFe15K1t5LbvYabXw5iZWRfQM4uLRsQSAKnlG61FxDpgXfJ8u6QlwBjg1WJk7Ir2t1Z7Ua+ZmXUFZTGnIGkCMA14vpVzrpU0T9K8XC5XrGhlpaY2x7GjBnH4oD5ZRzEzM+uwghUxkh6XtLiZr4va+TkDgPuAL0fEtpbOi4hbIqIqIqpGjPBIw8G27d7H/NWb3ZVkZmZdRsGmkyLi/I5+hqRK8gXMnRHx646n6r6eXlpPY1N4KsnMzLqMkp1OUn7BzG3Akoj4cdZ5yl1NXY6BvXty8hFDso5iZmbWKbJqsb5Y0hrgDOBBSY8kx0dLeig57Szgs8C5khYlX7OyyFvuIoLq2nxrdaVbq83MrIvIqjtpDjCnmeNrgVnJ86eAltuXLLXa9dt5a9tuTyWZmVmX4l/Lu4Ga/a3VXtRrZmZdiIuYbqC6NseUkQMZdVjfrKOYmZl1GhcxXdyOPQ3MW7XJrdVmZtbluIjp4p5ZVs++xvBUkpmZdTkuYrq46roc/XtVUHXE0KyjmJmZdSoXMV3c8AG9ufjkMfTq6X/VZmbWtWTSYm3Fc+MFk7OOYGZmVhD+9dzMzMzKkosYMzMzK0suYszMzKwsuYgxMzOzsuQixszMzMqSixgzMzMrSy5izMzMrCy5iDEzM7Oy5CLGzMzMypKLGDMzMytLLmLMzMysLLmIMTMzs7LkIsbMzMzKkiIi6wydTlIOWFWAjx4O1BfgcwvNuYunHDODcxdTOWYG5y6mcswMhc19RESMOPhglyxiCkXSvIioyjpHezl38ZRjZnDuYirHzODcxVSOmSGb3J5OMjMzs7LkIsbMzMzKkouY9rkl6wCHyLmLpxwzg3MXUzlmBucupnLMDBnk9poYMzMzK0seiTEzM7Oy5CLGzMzMypKLmBQk/bukDZIWZ52lPSSNk/Q7SUskvSLphqwztUVSH0kvSHoxyfz9rDO1h6QKSQsl/VfWWdKStFLSy5IWSZqXdZ40JA2WdK+k15L/vs/IOlNbJE1J/oz3f22T9OWsc7VF0leS/xcXS5otqU/WmdKQdEOS+ZVS/nNu7ueLpKGSHpO0NHkckmXG5rSQ+9Lkz7tJUlFarV3EpPNz4MNZhzgEDcCfR8T7genAFyUdm3GmtuwBzo2IqcBJwIclTc84U3vcACzJOsQh+GBEnFRG96b4B+DhiDgGmEoZ/JlHRG3yZ3wScAqwC5iTcaxWSRoDXA9URcTxQAVwebap2ibpeOALwGnk//u4UNKkbFO16Oe89+fLN4AnImIS8ETyutT8nPfmXgxcAswtVggXMSlExFxgU9Y52isi1kXEguT5dvJ/0Y/JNlXrIm9H8rIy+SqL1eeSxgIfBW7NOktXJmkQcA5wG0BE7I2ILdmmarfzgNcjohB3Fu9sPYG+knoC/YC1GedJ4/3AcxGxKyIagBrg4owzNauFny8XAXckz+8APlHUUCk0lzsilkREbTFzuIjpJiRNAKYBz2ebpG3JlMwiYAPwWESUfObET4CvAU1ZB2mnAB6VNF/StVmHSeEoIAfcnkzd3Sqpf9ah2ulyYHbWIdoSEW8Cfw+sBtYBWyPi0WxTpbIYOEfSMEn9gFnAuIwztcfIiFgH+V9GgcMzzlOyXMR0A5IGAPcBX46IbVnnaUtENCZD7mOB05Kh4ZIm6UJgQ0TMzzrLITgrIk4GPkJ+yvGcrAO1oSdwMvCziJgG7KQ0h9ubJakX8HHgV1lnaUuyFuMi4EhgNNBf0meyTdW2iFgC/B3wGPAw8CL56XXrYlzEdHGSKskXMHdGxK+zztMeyRRBNeWxHuks4OOSVgL/CZwr6ZfZRkonItYmjxvIr9E4LdtEbVoDrDlghO5e8kVNufgIsCAi1mcdJIXzgRURkYuIfcCvgTMzzpRKRNwWESdHxDnkpz2WZp2pHdZLGgWQPG7IOE/JchHThUkS+XUDSyLix1nnSUPSCEmDk+d9yf8l+lq2qdoWEd+MiLERMYH8VMFvI6Lkf2OV1F/SwP3PgQ+RH4ovWRHxFvCGpCnJofOAVzOM1F5XUAZTSYnVwHRJ/ZK/T86jDBZRA0g6PHkcT36xabn8mQM8AFyVPL8KuD/DLCWtZ9YByoGk2cBMYLikNcB3I+K2bFOlchbwWeDlZI0JwF9GxEMZZmrLKOAOSRXki+x7IqJs2pXL0EhgTv7nEz2BuyLi4WwjpXIdcGcyNbMc+FzGeVJJ1mdcAPxx1lnSiIjnJd0LLCA/HbOQ8rkl/n2ShgH7gC9GxOasAzWnuZ8vwE3APZKuIV9IXppdwua1kHsT8FNgBPCgpEUR8T8KmsPbDpiZmVk58nSSmZmZlSUXMWZmZlaWXMSYmZlZWXIRY2ZmZmXJRYyZmZmVJRcxZlY0ki6WFJKO6cTPvFrzRcqJAAACMklEQVTS6M76PDMrHy5izKyYrgCeopN2Qk7uJ3Q1+Vvit+f7fI8ssy7ARYyZFUWyh9dZwDUkRYykmZLmSpoj6VVJ/yKpR/LehyQ9K2mBpF8l34+klZK+I+kp8kVRFfkb3y2S1Dd5f3hybpWk6uT59yTdIulR4BfJRqP/R9LvJb0kqSxuQGdmf+AixsyK5RPAwxFRB2yStH+/o9OAPwdOACYClyRFyLeB85PNKecBNx7wWbsj4uyI+GXy3v+MiJMi4u02MpwCXBQRV5IvprZGxKnAqcAXJB3ZOf+oZlYMHlI1s2K5AvhJ8vw/k9cPAi9ExHJ451bmZwO7gWOBp5MtEXoBzx7wWXcfYoYHDih0PgScKOlTyevDgEnAikP8bDMrMhcxZlZwyR425wLHSwqgAgjgoeTxQAEIeCwirmjhI3e2crkG/jDK3KeV7xNwXUQ80vY/gZmVIk8nmVkxfAr4RUQcERETImIc+RGPs4HTJB2ZrIX5NPmFv88BZ0k6GvIbJ0qa3MJnbwcGHvB6JflpI4BPtpLpEeBPJVUm15ic7ORtZmXCRYyZFcMVwJyDjt0HXEl+mugmYDH5wmZOROTIdx3NlvQS+aKmpbbsnwP/sn9hL/B94B8kPQk0tpLpVuBVYIGkxcC/4tFps7LiXazNLDOSZgJ/EREXZp3FzMqPR2LMzMysLHkkxszMzMqSR2LMzMysLLmIMTMzs7LkIsbMzMzKkosYMzMzK0suYszMzKws/X/sA49DB2FHpAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for r band:\n",
      "Correction: -0.3793330192565918\n",
      "Number of source used: 1274\n",
      "RMS: 0.13115655264315917\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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for i band:\n",
      "Correction: -0.3366975784301758\n",
      "Number of source used: 1135\n",
      "RMS: 0.061604339289693305\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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for z band:\n",
      "Correction: -0.3069114685058594\n",
      "Number of source used: 4698\n",
      "RMS: 0.04694057854818296\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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for y band:\n",
      "Correction: -0.3458409309387207\n",
      "Number of source used: 5929\n",
      "RMS: 0.030287634719868645\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": {},
   "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(INPUT_CAT)[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": {},
   "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": {},
   "outputs": [],
   "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": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=10</i>\n",
       "<table id=\"table140290688285440-343579\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>des_id</th><th>des_ra</th><th>des_dec</th><th>des_stellarity</th><th>m_decam_g</th><th>merr_decam_g</th><th>m_ap_decam_g</th><th>merr_ap_decam_g</th><th>m_decam_r</th><th>merr_decam_r</th><th>m_ap_decam_r</th><th>merr_ap_decam_r</th><th>m_decam_i</th><th>merr_decam_i</th><th>m_ap_decam_i</th><th>merr_ap_decam_i</th><th>m_decam_z</th><th>merr_decam_z</th><th>m_ap_decam_z</th><th>merr_ap_decam_z</th><th>m_decam_y</th><th>merr_decam_y</th><th>m_ap_decam_y</th><th>merr_ap_decam_y</th><th>f_decam_g</th><th>ferr_decam_g</th><th>flag_decam_g</th><th>f_ap_decam_g</th><th>ferr_ap_decam_g</th><th>f_decam_r</th><th>ferr_decam_r</th><th>flag_decam_r</th><th>f_ap_decam_r</th><th>ferr_ap_decam_r</th><th>f_decam_i</th><th>ferr_decam_i</th><th>flag_decam_i</th><th>f_ap_decam_i</th><th>ferr_ap_decam_i</th><th>f_decam_z</th><th>ferr_decam_z</th><th>flag_decam_z</th><th>f_ap_decam_z</th><th>ferr_ap_decam_z</th><th>f_decam_y</th><th>ferr_decam_y</th><th>flag_decam_y</th><th>f_ap_decam_y</th><th>ferr_ap_decam_y</th></tr></thead>\n",
       "<tr><td>0</td><td>1477621984</td><td>67.101745</td><td>-55.189195</td><td>0.4185795187950134</td><td>25.546798706054688</td><td>0.2656603753566742</td><td>25.127875328063965</td><td>0.26539087295532227</td><td>25.08265495300293</td><td>0.1922353208065033</td><td>24.684370517730713</td><td>0.1914501041173935</td><td>24.644725799560547</td><td>0.21819788217544556</td><td>24.267830848693848</td><td>0.21304793655872345</td><td>25.0187931060791</td><td>0.583965539932251</td><td>24.972591400146484</td><td>0.7520529627799988</td><td>26.55303192138672</td><td>7.432310581207275</td><td>24.957372188568115</td><td>2.382734537124634</td><td>0.21942217597773975</td><td>0.053688711287665204</td><td>False</td><td>0.32273782567141884</td><td>0.07888810644361</td><td>0.33646354688414887</td><td>0.05957264535484214</td><td>False</td><td>0.48556993968402057</td><td>0.08562154886369618</td><td>0.5036277828864131</td><td>0.10121290526091545</td><td>False</td><td>0.7126358405710609</td><td>0.1398365410364834</td><td>0.35684758138029915</td><td>0.19193123488102412</td><td>False</td><td>0.37236035865489864</td><td>0.25792150038012507</td><td>0.08685348144560448</td><td>0.5945477790405447</td><td>False</td><td>0.3776166408412406</td><td>0.8287097804994473</td></tr>\n",
       "<tr><td>1</td><td>1477576137</td><td>67.037917</td><td>-54.795738</td><td>0.15066640079021454</td><td>25.168733596801758</td><td>0.27179887890815735</td><td>24.76012897491455</td><td>0.1763872355222702</td><td>24.00925064086914</td><td>0.10928403586149216</td><td>23.839890003204346</td><td>0.08738671243190765</td><td>23.570125579833984</td><td>0.1255115568637848</td><td>23.463793754577637</td><td>0.10111133754253387</td><td>24.093170166015625</td><td>0.3766193091869354</td><td>23.562557220458984</td><td>0.19954881072044373</td><td>23.787145614624023</td><td>0.9021986126899719</td><td>24.02362585067749</td><td>1.0038254261016846</td><td>0.3108182860512715</td><td>0.07780901228370685</td><td>False</td><td>0.45284378326578595</td><td>0.07356838862299162</td><td>0.9042733745531512</td><td>0.09101901867155099</td><td>False</td><td>1.0569245816570463</td><td>0.08506777620080745</td><td>1.3550326757339788</td><td>0.15664234091793863</td><td>False</td><td>1.4944538154781966</td><td>0.13917397570085233</td><td>0.837012480282953</td><td>0.2903422219168186</td><td>False</td><td>1.3645112222366609</td><td>0.25078521874720233</td><td>1.1095369101149803</td><td>0.921975942818497</td><td>False</td><td>0.8923796535764538</td><td>0.825056198798689</td></tr>\n",
       "<tr><td>2</td><td>1477582101</td><td>67.207866</td><td>-54.845653</td><td>0.65693598985672</td><td>24.824392318725586</td><td>0.19802525639533997</td><td>24.64302921295166</td><td>0.19076578319072723</td><td>25.04599380493164</td><td>0.24152730405330658</td><td>24.507261753082275</td><td>0.16379991173744202</td><td>24.814504623413086</td><td>0.35329189896583557</td><td>24.81904697418213</td><td>0.3795555830001831</td><td>24.186635971069336</td><td>0.3784153163433075</td><td>24.217571258544922</td><td>0.40509065985679626</td><td>23.86794090270996</td><td>0.9067140221595764</td><td>23.036025524139404</td><td>0.45455482602119446</td><td>0.42681834011135256</td><td>0.07784654399879093</td><td>False</td><td>0.5044153739078338</td><td>0.08862667877820986</td><td>0.3480186179579199</td><td>0.0774184357004649</td><td>False</td><td>0.5716040520006523</td><td>0.08623521335675532</td><td>0.4307230868209813</td><td>0.14015464954059464</td><td>False</td><td>0.428924852238548</td><td>0.14994509867241348</td><td>0.767972398725306</td><td>0.26766402090395924</td><td>False</td><td>0.7463997694321829</td><td>0.27848346015467035</td><td>1.029967779595314</td><td>0.860141002979336</td><td>False</td><td>2.216102227883938</td><td>0.927794392621706</td></tr>\n",
       "<tr><td>3</td><td>1477611157</td><td>67.053912</td><td>-55.096318</td><td>0.011270098388195038</td><td>24.43303680419922</td><td>0.20430803298950195</td><td>24.85519504547119</td><td>0.1923612356185913</td><td>23.976280212402344</td><td>0.1493755728006363</td><td>24.251484394073486</td><td>0.12020494043827057</td><td>23.3496150970459</td><td>0.15895864367485046</td><td>23.706191062927246</td><td>0.13452427089214325</td><td>22.87701416015625</td><td>0.18979431688785553</td><td>23.21217918395996</td><td>0.15298040211200714</td><td>21.98900604248047</td><td>0.33529457449913025</td><td>22.105895519256592</td><td>0.22420796751976013</td><td>0.6120477113743397</td><td>0.11517186537449436</td><td>False</td><td>0.41487950552568664</td><td>0.0735047187023941</td><td>0.9321545312419807</td><td>0.1282458081740015</td><td>False</td><td>0.72344620429467</td><td>0.08009478500986922</td><td>1.6601753497685487</td><td>0.24306016572452613</td><td>False</td><td>1.1954284154130128</td><td>0.14811529290672446</td><td>2.5656318358824977</td><td>0.44849047083727855</td><td>False</td><td>1.8842057570565716</td><td>0.2654848876854817</td><td>5.8129633261036195</td><td>1.7951460552419867</td><td>False</td><td>5.219654923255845</td><td>1.0778752853308498</td></tr>\n",
       "<tr><td>4</td><td>1477579861</td><td>67.080486</td><td>-54.82756</td><td>0.3571803867816925</td><td>25.993486404418945</td><td>0.4642385244369507</td><td>25.870322227478027</td><td>0.50132817029953</td><td>25.271360397338867</td><td>0.2606199085712433</td><td>24.898212909698486</td><td>0.21889351308345795</td><td>25.808860778808594</td><td>0.7725865244865417</td><td>25.484463691711426</td><td>0.6519438624382019</td><td>25.269840240478516</td><td>0.8648833632469177</td><td>24.818660736083984</td><td>0.6316989660263062</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.14541373789591144</td><td>0.06217593078117713</td><td>False</td><td>0.1628812557877638</td><td>0.07520884132104647</td><td>0.28278465618197246</td><td>0.06787957416959693</td><td>False</td><td>0.39876298298528423</td><td>0.08039395743714098</td><td>0.17236762135549877</td><td>0.12265309099342707</td><td>False</td><td>0.23238844146311058</td><td>0.13954054166150334</td><td>0.2831808648674832</td><td>0.2255782000640943</td><td>False</td><td>0.42907746443755607</td><td>0.24964424087780596</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td></tr>\n",
       "<tr><td>5</td><td>1483018183</td><td>67.162665</td><td>-53.941751</td><td>0.6418401002883911</td><td>24.777790069580078</td><td>0.3899378180503845</td><td>24.646233558654785</td><td>0.1945882886648178</td><td>24.1666316986084</td><td>0.24580523371696472</td><td>24.165676593780518</td><td>0.13523435592651367</td><td>23.55357551574707</td><td>0.2891499698162079</td><td>24.076857566833496</td><td>0.251514196395874</td><td>22.88698959350586</td><td>0.28690221905708313</td><td>23.390625</td><td>0.22871002554893494</td><td>21.747163772583008</td><td>0.3060944974422455</td><td>22.938086986541748</td><td>0.48770469427108765</td><td>0.44553720101427685</td><td>0.16001290484965</td><td>False</td><td>0.50292888166423</td><td>0.09013613986000814</td><td>0.7822531498290504</td><td>0.17709819150996844</td><td>False</td><td>0.7829415882121129</td><td>0.09751963777751511</td><td>1.3758458991125626</td><td>0.36641110285971806</td><td>False</td><td>0.8496830861956712</td><td>0.19683175128463015</td><td>2.542167502090795</td><td>0.6717593964061739</td><td>False</td><td>1.5986375139674855</td><td>0.3367525417874777</td><td>7.263308504939988</td><td>2.047696997525168</td><td>False</td><td>2.4252985403102203</td><td>1.0894262141526463</td></tr>\n",
       "<tr><td>6</td><td>1477575404</td><td>67.210059</td><td>-54.788604</td><td>0.9739013314247131</td><td>22.369800567626953</td><td>0.02955000102519989</td><td>22.220269203186035</td><td>0.02084198035299778</td><td>21.95328712463379</td><td>0.0206358190625906</td><td>21.796364307403564</td><td>0.014089985750615597</td><td>21.899290084838867</td><td>0.03556714579463005</td><td>21.716126441955566</td><td>0.022308500483632088</td><td>21.875553131103516</td><td>0.06351494044065475</td><td>21.667800903320312</td><td>0.03762773424386978</td><td>21.36438751220703</td><td>0.11775212734937668</td><td>21.43053960800171</td><td>0.09289384633302689</td><td>4.09335841271157</td><td>0.11140712151077581</td><td>False</td><td>4.697776150133925</td><td>0.09017932513882092</td><td>6.007380633570492</td><td>0.11417802892746665</td><td>False</td><td>6.941515168945986</td><td>0.09008251671953711</td><td>6.313700346478892</td><td>0.20682768037273522</td><td>False</td><td>7.473936836233532</td><td>0.15356614506826227</td><td>6.4532538259911085</td><td>0.37751161894574714</td><td>False</td><td>7.8141121255383545</td><td>0.27080918285953115</td><td>10.333441736599324</td><td>1.1207001682296043</td><td>False</td><td>9.722638911153082</td><td>0.8318533737809388</td></tr>\n",
       "<tr><td>7</td><td>1477599301</td><td>67.066811</td><td>-54.992704</td><td>0.00960144679993391</td><td>24.484081268310547</td><td>0.23992900550365448</td><td>24.366787910461426</td><td>0.13514955341815948</td><td>23.545671463012695</td><td>0.10302190482616425</td><td>23.699333667755127</td><td>0.07298784703016281</td><td>22.97761344909668</td><td>0.1133703738451004</td><td>23.268420219421387</td><td>0.08729129284620285</td><td>22.348535537719727</td><td>0.11821653693914413</td><td>22.751861572265625</td><td>0.09808719158172607</td><td>21.855716705322266</td><td>0.24250978231430054</td><td>22.272496700286865</td><td>0.21102553606033325</td><td>0.5839390146338812</td><td>0.12904046714284723</td><td>False</td><td>0.6505562234157186</td><td>0.08097950743719125</td><td>1.385898468336213</td><td>0.13150330575507235</td><td>False</td><td>1.203002508407501</td><td>0.08087099120003016</td><td>2.3385928652023136</td><td>0.24419112694002257</td><td>False</td><td>1.789088862896227</td><td>0.1438396170032344</td><td>4.174320444468103</td><td>0.45450608062684955</td><td>False</td><td>2.8790908618903437</td><td>0.2601017961028075</td><td>6.572238540968435</td><td>1.467973648574214</td><td>False</td><td>4.4771466484547275</td><td>0.8701858401427772</td></tr>\n",
       "<tr><td>8</td><td>1477572536</td><td>67.216975</td><td>-54.764021</td><td>0.3743945062160492</td><td>25.710474014282227</td><td>0.6115795373916626</td><td>25.401474952697754</td><td>0.3440208435058594</td><td>23.893882751464844</td><td>0.12054697424173355</td><td>24.072569370269775</td><td>0.10299965739250183</td><td>23.961524963378906</td><td>0.2349708378314972</td><td>24.13139820098877</td><td>0.19041694700717926</td><td>22.728487014770508</td><td>0.1401842087507248</td><td>23.441429138183594</td><td>0.18664748966693878</td><td>23.48603630065918</td><td>0.9980490207672119</td><td>23.833241939544678</td><td>0.9726290702819824</td><td>0.18871672635293774</td><td>0.10630140884609242</td><td>False</td><td>0.25084763966751944</td><td>0.07948230538107395</td><td>1.0056500960373498</td><td>0.11165518446556488</td><td>False</td><td>0.8530456091624812</td><td>0.08092518707478029</td><td>0.9449090633204029</td><td>0.20449357155998243</td><td>False</td><td>0.8080546236191956</td><td>0.14171701539498693</td><td>2.941746152350759</td><td>0.37982187100838916</td><td>False</td><td>1.5255566688397342</td><td>0.26225644989615676</td><td>1.4641496895273034</td><td>1.345900742266282</td><td>False</td><td>1.0634160828221626</td><td>0.9526341586708362</td></tr>\n",
       "<tr><td>9</td><td>1477597927</td><td>67.216388</td><td>-54.98059</td><td>0.7201944589614868</td><td>24.81313705444336</td><td>0.2803792655467987</td><td>24.826634407043457</td><td>0.22533369064331055</td><td>24.15619468688965</td><td>0.14826162159442902</td><td>23.9681077003479</td><td>0.0971498191356659</td><td>24.4539794921875</td><td>0.36234232783317566</td><td>23.993475914001465</td><td>0.1770438551902771</td><td>24.437917709350586</td><td>0.6212693452835083</td><td>23.986919403076172</td><td>0.29756611585617065</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.43126595778200466</td><td>0.11136962364186077</td><td>False</td><td>0.42593785274702917</td><td>0.08839914145218744</td><td>0.7898090854020634</td><td>0.10785158976789294</td><td>False</td><td>0.9391974826586954</td><td>0.0840377848441475</td><td>0.6003550983687128</td><td>0.20035627707366988</td><td>False</td><td>0.9175075240812647</td><td>0.14961191173100818</td><td>0.6093024385480348</td><td>0.3486490783096899</td><td>False</td><td>0.9230649037220834</td><td>0.252983032968786</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td></tr>\n",
       "</table><style>table.dataTable {clear: both; width: auto !important; margin: 0 !important;}\n",
       ".dataTables_info, .dataTables_length, .dataTables_filter, .dataTables_paginate{\n",
       "display: inline-block; margin-right: 1em; }\n",
       ".paginate_button { margin-right: 5px; }\n",
       "</style>\n",
       "<script>\n",
       "\n",
       "var astropy_sort_num = function(a, b) {\n",
       "    var a_num = parseFloat(a);\n",
       "    var b_num = parseFloat(b);\n",
       "\n",
       "    if (isNaN(a_num) && isNaN(b_num))\n",
       "        return ((a < b) ? -1 : ((a > b) ? 1 : 0));\n",
       "    else if (!isNaN(a_num) && !isNaN(b_num))\n",
       "        return ((a_num < b_num) ? -1 : ((a_num > b_num) ? 1 : 0));\n",
       "    else\n",
       "        return isNaN(a_num) ? -1 : 1;\n",
       "}\n",
       "\n",
       "require.config({paths: {\n",
       "    datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n",
       "}});\n",
       "require([\"datatables\"], function(){\n",
       "    console.log(\"$('#table140290688285440-343579').dataTable()\");\n",
       "    \n",
       "jQuery.extend( jQuery.fn.dataTableExt.oSort, {\n",
       "    \"optionalnum-asc\": astropy_sort_num,\n",
       "    \"optionalnum-desc\": function (a,b) { return -astropy_sort_num(a, b); }\n",
       "});\n",
       "\n",
       "    $('#table140290688285440-343579').dataTable({\n",
       "        order: [],\n",
       "        pageLength: 50,\n",
       "        lengthMenu: [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n",
       "        pagingType: \"full_numbers\",\n",
       "        columnDefs: [{targets: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49], type: \"optionalnum\"}]\n",
       "    });\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 3323362 sources.\n",
      "The cleaned catalogue has 3323315 sources (47 removed).\n",
      "The cleaned catalogue has 47 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": 27,
   "metadata": {},
   "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": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "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": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: -0.0029035745967576077 arcsec\n",
      "Dec correction: -0.0009007351280843068 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": 30,
   "metadata": {},
   "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": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue[RA_COL].unit = u.deg\n",
    "catalogue[DEC_COL].unit = u.deg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1XQdB8AolN8aoLsQIwpUIdJITDQAlN0Z4PCL692+CIJT+kLQehWhWtuq2WnzgVZcbfKiHrkox5NEHXnUZ2ba0hIu1e6J6aEEJAwIBL6LRIADzhWT11a/6BDfb3ylbM/3r4QOvuoxs9dp59YFXXX3l8+TxCGhuDiGZzCCZzICojoa4c1uxYgW++c1vYsSIEZg0aRJeeOEF03137NiBY489Fvfcc49t+nw+T9WFaCu2vBbTWflQaXzeYluNLjf40Jd1Oe2D3093b7XAfXJbtWoVZs+ejbFjx+IXv/gFjjvuONxwww14+eWXe+0ryzLmzZuHeDzugFKCIAiCF7ifllyyZAkmTZqEefPmAQDGjRuH3bt3Y+nSpZg4cWLFvk888QS2bNnihEyCIAiCI7i+c2tvb0dbWxtOPfXUkvbTTjsNW7ZsQXt7e8W+ixcvxk9/+lO7ZSKdzkGS7CtE11K01s7/10uXGdtKWnmLrbaPFVtefSBdlXU57UN3Nz0RoBa4vnNT7rqGDRtW0t7a2goA2Lp1K4YMGVLWT5Ik3HjjjZg0aRJOPPFE23Vms3l0dsYRiQQRCBRCqp5DV5/MdhStqxmrHrrc4EO1utT2duhi7UO1umrxwUx/J3yot65sNo9YLAVJ6rEhrMP1nVssFgMARCKRkvZwOAwAhrW0Rx55BO3t7Zg7d669AlXIMoonZC0FbuVvu4vpVnVV44Pduqz6oPWFF108xraSrkox5NEHXnUZ2So7HRG1wfWdm97VkbpdFMtz85YtW3DnnXfirrvuQjQatV8kQfQxZLn8Ao4geIPrOzclOWnv0BKJRMlxhXw+jxtvvBETJ07E2LFjkcvlkMsVdtaWJKn4bzuhzzzhdiix2QuFlw1cJ7dhe2ptbW1tJe3btm0rOa6wY8cO/P3vf8cLL7yAI444ovgHAO6+++7iv+3A5/OgpSUMwPoOJdrjdhbIWdnyqotia7+ttmbEiy4jW151Gdm2tITh93M9qdYQcB3B1tZWDB48GC+//DJOOeWUYvvq1asxdOhQ7L///iX2gwYNwjPPPFP2OtOnT8e5556Lb3/727boDAZ9iEQCZcVl5WQ1U4i2YqvgRDGdta5qfeA1tmbHkmXZlbHlVVcj+yAIAqLRIFKpLBKJNIjq4Dq5AcCsWbMwd+5cNDc3Y/z48Vi7di1WrVqFO+64AwDQ2dmJtrY2DB8+HJFIBEceeaTu6wwaNMjwWK14vaJucVn7habXZpet0dRRvXVZ0cuLLl7j5UYfeNXltA+iKMDn43pijXu4j960adOwYMECvPbaa5g1axY2btyIRYsWYfLkyQCAdevW4eyzz8Z7771XZ6UEQRAEL3B/5wYA55xzDs455xzdY9OmTcO0adMq9t+8ebMdsoqoZiu4Q++qkCAIwu00RHLjnXQ6i2DQC0CAKAolc/Pq5KK0q+fYnbRtBF0K6vZ66erN1mr/erwP2jZeYsurLl58kGUgmaQdSmqBkhsDcjkJHR0JNDX50dTkB1B70Vrbpm2v1N+KLa+63OCDWpf2y8xNseVVl9qW19jq9U+nc4jH0yV+EtbhvubWSCSTmZp2KNEeq6a/3ba86qLY1s+WV13K/3nVpUVpi8VSlNgYQMmNIAiCcB2U3Bijc0FGEK5C766DYAfFlw1Uc2OE3+9FNFr4IbedhWgrtup5fzO2vY3Fygerulj6UM/YOuGDU7FV4E2Xka1Rfzt9qPbztNdeYcTjaaRStKCkFii5MSAU8iEcdm6HEhZF60bQVS8feNVl1tZM/3r4wKsuHn2IRALwej2Ix1MgqoOmJRng8ejvUKL+26jNbltedWlRtBodq6eu3o45pcsNPvCqi0cfvN7y1yTMQ8mNIAiCcB2U3BigU4rgAvWUB8EeHmPLo6Zq4NEPHjURxlDNjQGpVBaBgBeCoL9DCVCYZuCpaM2rLgWzuqz6wDJeVmzV9bxGec8bKbaV+qtteNFVybbwFG4ZiUQGRPVQcmNAPi+hszNRXFgC6BeS9dr0bI36V2tbqT/Putzgg7amwpsulra8+sCrLiPbVCpDiY0BNC3JkO7ubMUdSvTaqi1EW7FlUSB3uphuhw9mx2Lpg5mx6hHbeumqhw+86jKypcTGBkpuBEEQhOug5MYQvatEwHoh2qq9E/DqA6+6rMCjJsA9seVVlxGiWP4dQliHam6MCAaVH3LzVbRW46QuVj7wqkuLmbFY+dubrr4YWzfpamkJI5nMIJmk6claoOTGgFCo8Kgb9RVXNUVrvbZabY3622XLqw+86lK3s9JFsW2cxSlGtk1Nfng8ImIx2qGkWmhakgEej1A2lVBN0dpM/3oX0+30wWhat966rI5VrS2r99xpH3jV1eix9XhoerIWKLkRBEEQroOSGwNkmc8FFOppENavXQtG41htZ43VcZyKrZ3jUGz5ja1Db41roZobA7q7M/D5PPB6xbLisNVCtBVbo/522fLqA6+67PCBV11u8IEXXZJUuChNJNJldoR5KLkxQJJk7NqVRCDgRTQaBFC/QrRegdyKrd26qvWBV11mbZW/edNV7Vh9zQcndSWTaXR307PcasUwub355ptMBhg9ejST12kE0ukcwmEZHk/pbK/2yk3dZra4bNVWDzO2RmPV2wdedfHkA6+66u2D3uvxoMvIlhIbGwyT2wUXXKD75ltBEAS8//77Nb0GQRAEQVil4rTkWWedhaOOOqqqF/7b3/6G5cuXV9W3URFFdjuUmL2wsGKr19cOW8W+Wh941WV1HDtsFXuKrTVbXnXp4fWKyOWkqjQQPVRMbqNGjcLpp59e1QuLooinn366qr6NSFNT4YfcgLOFaCu2lcayYsurD7zqUv5W/9spXax84Dm2tfrAm67+/ZuQSmWRSKRh8fqCUGGY3B544AEcdthhZe3aK5vOzk4MGDCg7Grn+OOPxwMPPMBQKr8oiY1lIbqSrVF/u2x59YFXXXb4oG2z24e+HFsedAWDPoiigK4u2qGkWgx/5zZu3DjsvffeJW2/+c1vcOKJJ6K9vb3Yduutt+L444/HCy+8UGI7cOBAjBs3jrFcPtGbjqw0tcHaVmnTszXqb7aYXosuK7aKVh519XasFttqdVmxdZMuJ3yo9Hkya8tCF22gXBumf8S9fPly/PznP0drayu83p4bvsmTJ+Owww7D3LlzsXr1altEEgRBEIQVTCe3Rx99FBMmTMBjjz2G/fbbr9h+4okn4qGHHsJJJ52E++67zxaRvKOemjBrX+n/1do2ki4W7U7pYmFf79iysHeDrkbygepttWE6ubW3t+Okk04yPH7yySdjy5YtTEQ1GslkFplMrniCqpOK8m9tolEfV7fVYqv9t15/3nSp/yiF9d7GYuWDWV0UW2d0NVJs1cftiG0uJyEep3pbLZjeoWTAgAHYvHmz4fGtW7ciEokwEdVoyLKMrq4UfD4PmptDAOxZEOBEkb/eupQvCha66uWDkV9GvvX12KqTA523MmKxFNLpHIjaMH3ndsopp+Cpp57CSy+9VHZszZo1eOKJJ3DKKacwFddoZLN5SJK5XRIqHatnkd+KLe+6KLYUW+WigkddRjaU2Nhg+s7tyiuvxF/+8hdcd911+PnPf44hQ4ZAFEW0tbWho6MDBx98MK6++mo7tRIEQRCEKUwnt0gkgmeeeQbLly/H+vXrsX37duTzeRxyyCE48cQTcc455yAQCNiplXvUTwXQm4Iwi940iFnbSmPVoqtWH1jpotg2Tmx50GU0VciLLj18Pg+y2bzp1yL0sfRUAJ/Ph/POOw/nnXeeXXp0WbFiBX75y1+ivb0dBxxwAC677DJMnTrV0P4///kPli5dig0bNmDXrl0YNmwYLrnkEkyaNMkWfYIAhMMBBIO+Ypu60KxuK+1nvCmrVdvexqpWV60+sNRVrQ+99XfCB3Xthsf33Ipto+qqpw9WPk/NzSFkMnnE4ylIkrULDKIHy4+82bx5M9atW4cdO3bgggsuQFNTEz788MOKKylrYdWqVZg9ezZmzJiBcePGYc2aNbjhhhsQDAYxceLEMvtMJoOLL74YsVgMV155JQYNGoTf//73uPrqq5HP5zFlyhTmGkMhP4JBn+2FaJZFa7NjOVVMV9rN9ndDbJ3SpbTXK7a86nLyPbfqg9/vQTQaxO7d3SCqw1Jy++lPf4onnnii+Aaddtpp6OrqwlVXXYXx48dj6dKlzKcmlyxZgkmTJmHevHkACjun7N69G0uXLtVNbq+88go++OADLF++HCNGjAAAjB07Fp999hkeeOABW5Kb0Q4lRld7Ttrq2fCgS8/WaOqo3rqMtPGoq5It6WJva+dYBh8HwiSWfsT9+OOP49JLL8XTTz9dfJPGjBmDiy66COvWrWO+l2R7ezva2tpw6qmnlrSfdtpp2LJlS8k2YArhcBhnn302jjzyyJL2gw46CG1tbUz1EQRBEHxiOrn99re/xcSJE3HNNddgyJAhxfZ+/frhxhtvxBlnnIEVK1YwFaf8KHzYsGEl7a2trQAKv63TMmbMGPzkJz8puRLKZrNYv349Dj74YKb6FJTHwqupdJXqpC2vuszY8aLL6BiPuqzcHZEuvn2wOByhwdIOJd/4xjcMj48aNQo7duxgIkohFosBQNmPw8PhMAAgHo+bep3Fixfjk08+waWXXspUn0J3dwapVLaYTNRz6Oo29Qms/FvbVq2tksyN+vOuS7GtNBZLH9S6KLb2xZYnXfXyQf23WdtMJo9YjHYoqQVLO5R8/vnnhsc/+ugjNDc3MxGloD4h9NpFsXJulmUZt912Gx5++GHMnDkT//3f/81UX884QDyeRiqVRf/+TSWaeytamylEm7VlWUznVRdLH9RfYHbrKtRQyn8motffqg+8xpZHXY3gw+7d3fRTAAZY2qHkiSeewMcff1xsU96Y9evX46mnnsLJJ5/MVFw0GgVQfoeWSCRKjuuRyWRw3XXX4Ve/+hVmzpyJOXPmMNWmRy4nWd6hRA8r9lbGqkVXrT6w0kWxbZzY8qBLuaiwYm+HLiu2lNjYYPrO7aqrrsLGjRsxbdo0HHzwwRAEAcuWLcOiRYvwwQcf4IADDsBVV13FVJxSa2tra8MhhxxSbN+2bVvJcS3xeByXXXYZ3nrrLcybNw8XXnghU10EQRAE35i+c+vXrx+efvppXHLJJchkMggEAvj73/+O7u5ufO9738Ozzz6LlpYWpuJaW1sxePBgvPzyyyXtq1evxtChQ7H//vuX9cnn87jiiivw97//HUuWLHE0sfl8Hohi+XJf7f97O1ZLfydteddFsaXYautaPOkysgkELP/8mNDBUhRDoRB++MMf4oc//KFdesqYNWsW5s6di+bmZowfPx5r167FqlWrcMcddwAAOjs70dbWhuHDhyMSieC3v/0tNm7ciLPPPhv77bcf3n777eJrCYKAkSNHMtcoCAKi0QD8fm9JwViLtq0aWz3M2PKqS22rPd4oPpgZSzlOsTXW1UjnrXos1rGNRoMIhSTEYt3I540TJlEZS8lNlmV8+umnxZ8CbN26FU8//TS8Xi+mTZtmOE1YC9OmTUMmk8FDDz2E5cuXY8iQIVi0aBEmT54MAFi3bh3mzp2LRx99FF//+tfx+9//HgDw1FNP4amnnip5LY/Hg/fff5+5xqYmXzGxAc4uVFDbqtuMFjXwqMvI1mgsVj5Uq4tiS7GtRpcVW69XRCRCO5TUgiBXupdW8fnnn2PmzJnw+/14/vnn8eWXX2Ly5Mno6uoCULire/zxx3H44YfbKthpOjrive7vFokEEAr5y9qNTmS9YrJdtnrwoMusXh50sei/YMECzJ8/v6F96Ou6nPYhm81h1y5zyW3gQOPFdVrMfKc1CpX8Nl1zW7JkCXbs2IFzzz0XAPD000+jq6sLd955J/74xz9iv/32w1133VW7WoIgCIKoEdPJbcOGDbjwwgtx1llnAQDWrl2L/fbbDxMnTsQBBxyAs846C2+99ZZtQnmm3juUKG16tkb9zcz/O+2D2boED7Gt1N8NPpCu+vvglruremG65haLxTB48GAAQEdHB9577z185zvfKR4PhULI5frmE2STyQwAoKmpdGpSW2hWo23Xs1XazHxw7LY1078ePvCqiyEv+soAACAASURBVLUPvOqq93vOwgdWuljGNpXKIpFIl70eYR7TyW3//ffHhx9+CABYuXIlAJT8aPvVV18tJr++SDJZ2IJrwIAwRLF+xfRKtk4U+e1eEFBPXZVszYyltDupS2vLa2xr0cXCByNdTvmgHmvXriRyOQlEbZhOblOmTME999yDbdu24S9/+Qv2228/jBs3Dm1tbbj55puxfv163HjjjXZq5Z6e6cnSk7vSFaceesVlFrZ6fc3qctIHXnVZgVcf+pouq+8hDz5QYmOD6eT2gx/8AB6PBytWrMAxxxyDOXPmwOv1Ih6PY9OmTbj88stpJxCCIAiCCyz9zu2KK67AFVdcUdJ28MEH44033oDP52MqrBEJBLzFHUrUV3WV5uLNTHNVY6tHLbpY+cCrLjf4wKsuHnzgVZeebSjkQ3d31nBcwhymV0sChRWSZ511VsnTAX7yk5/g7LPPxp///Gfm4hoFURTQv38TIpFgydy58kdB21arrVF/ZcqjGlsWuirZ8qqrUWLLqy43+MCLrqamAFpawvB6LX09ExpMR2/NmjWYNWsWdu3ahXS6ZxXPsccei0wmg5kzZ2Ljxo22iOSdUMgPr1csLiQRhJ6dyJV/q9uUdjO22n+b6W+Xrdn+TvtQqb/bYsuTLjf4wKMuURTg8YgIhwMgqsd0crv33nsxatQorFixovgkbACYOnUqXnjhBYwcORJLly61RSTvCEJthWhrY1kbh1ddLNpZY3WcRootK/tqodhax6G3xrWYTm7/+te/MGXKFPj95dtMeb1eTJkyBR988AFTcQRBEARRDaaTWzgcxqeffmp4/IsvvtBNfH0BSSrfTUCZQ1fPr2uPGf2/Un+rtkb9rehyygc9vTzosjpWX/OBV13a2laj+UA7lNSG6eR24okn4rHHHit5hIzC+++/j8ceewzjxo1jKq5RSCYzSCTSTIvWRv2t2hr1t6Krnj7wqovn2PKqq54+8KrLyDaZzKCrKwU7yPSRnGn6pwBXX301NmzYgHPPPRdHHHEEWltbIYoi2tra8O6772LvvffGddddZ6dWrkmlskinc2hp6X2HEvXJrC0+W7XVK15r2436a9tZ6mLpA6+6FMz6YPS6dvhgRRereFmx5fW85UHXzp0JW5/j1p2TEPW4v6Bn+s5t0KBB+N3vfofvf//7SKVSWLt2LX7/+99j165dOP/88/H8889jn332sVMr92iv8BS0H4zesGrvBLz6wKsuK/DqA6+6rKBcVPBGJU30gFI2mL5ze+211zBy5Ehcf/31uP766+3URBAEQRA1YfrO7brrrsP9999vp5aGJxTyFXcoUaN3N6e0VTrGytaovxVddvjQ21isfTA7FksfzIxVj9jWS1c9fOBVl5FtONw3F+axxvSdmyzLGDRokJ1aGhaPR0Rzc6ikrqI9edXz7No2dXtv/e2y7a2/G3yopy7lb6P+ahte4mXFluf3HGis2AaDfgSDPnR1pZDN5sEav0cEUJ5c3YalBSX33HMPotEoTjjhBOy1115czmXXg2DQB4+n5ya41qJ1pf5WbNVfqCx02e2DFl50sYotq/fBTe95I/nglK7CgjQB4bAfu3Z1gzWZvIRAH1hQYjq5/eY3v0E8HsfcuXMNbQRBwPvvv89EWCPBa46niw974TG+encDjQjFlqgV08ntqKOOwlFHHWWnFoJwJTIA+k4kCGcxndxuueUWO3U0NPm8VDa1oK61aOf9Wdiq6c22t7HUx+rtg1YvL7qqiZcsA3KxtiFDlnvu8hvFh76ii0cfcjm6IqoFS89zM0KSJCQSCfz5z3/GKaecwuIlG4ru7izyeRnRaEB3Pl37xa1tq9bWTH/A+WJ6b7ZWddXDh1p1ScUvrT1te2xloPicdootX7pYx7aWseLxNFIpeqZbLZhObrFYDLfccgtWr16NZDKpexUDAP/85z+ZiWskMpkcOjuVHUoqLy5xskBuxbZSfzf44KguGZDUuiAAggABDeSDgS4tvOgystVq5UWXkW1HR8Lw+5UFfWW1pOnfud1222147rnnMHz4cIwZMwayLGPKlCkYM2YMvF4vAoEA7r77bju1co8sF/4QhJux84uXsD++mbxk6+vzguk7t3Xr1uGUU07B3XffjZ07d2LMmDG44IILMGLECPzzn//Ed7/7XWzZssVOrQRBEARhCtN3bp2dnRg7diwAYMCAAdhnn33wzjvvAAAOO+wwTJ8+HS+++KI9KhuEpiZ/xR1K1O16bdpj1fS325ZXXdzFFhRbHnTJsrkdSnj6PEWjQcMpYMI8pu/cwuEwJKnndvbAAw/Ehx9+WPz/V7/6VTz77LNs1TUIXm9hhxJAf4cS9Xy6tr2SrRo7Cty86uLFh1p0SXumqEVhjzbIyMtARgK8AuAVS20BQATFtt666uGDtn8g4IXf70UslkImkwNRHabv3EaMGIFVq1Yhny9sBzN8+HBs2rSp+OZs3bq1zz6sNBDwQRTF4qNuBKF8Nwr1v7XHnbLlXZf6D0+6rMRTkoGc1FN7lWQgJ8uQZEDZ7D0nA5l8YcGJ+nmUyr/r6QOvseX5vLXDB1EU0NTkgx0IArAzk0e6/ObRVZhObt///vfx17/+Faeddhp2796NM888E1u2bMH3v/99zJ8/H48++ii+/vWv26mVW1TnKncIPItzIXoPT5ak8rVpMmjxEVEfXv/4S/zpgy+QtGHfSp4wndzGjBmD+++/H8OGDUO/fv0wYsQIzJ8/H2+//TZ++9vf4vDDD6+4NRdBuAm95KQ3TQUA2bysayvp2MqyXn2mLyzcJgi2WPoR9wknnIATTjih+P9zzjkH06ZNQyqVQr9+/ZiLaxRyOed3KOnNVm8unwddZvTyqEtpKySaPW2QAVko/judLyQhQZbhEQr/3vxlGu99kcbHHWn8O57FPhEf8pKM7qwEGUDAk0fYJ+55bRnYM4aI8vEkWYYAAYLA7vzgKbY863LaB0mSkc32jSX7dmF453bCCSfgD3/4Q68v4Pf7dRPb6tWrSxKhm0mlsti9uxv5vARJ6rl6V5/A6jbli0zbrmerblM+AGZs1WNZsbVbV7U+mNVlpw9S0RYABAACJFlGNi8hleu5E5NkGV0ZCS99GMN7X6SR31OHe6MtiX91pJHMSsXXTudldKV7/q+MLclAvnguFcZSEh0vse0L73k9fJAkGfF4ColEGkT1GCa3L7/8Eul09cFNpVLo6Oioun+jkc3m0dmZAFD6IbBaSNZrs9LfKVteddkaWxS20dLaKlsAqm2/TOSQysnFRSRAYUFJS5NHMVZeAT5PuUbVAHWLl5Gt+hhPuoxsedVlZNvZGUc6Taska6XitOT111+P66+/3iktrkB1AU4Q7FFu5OopQTOFRrDF7u+QY4buhWxegiAI2JlxblFJk8+DgIOnjWFyO/PMM51T0QsrVqzAL3/5S7S3t+OAAw7AZZddhqlTpxraJxIJLF68uLgP5qhRo/CjH/0IQ4cOdU40QRAEh7z1SQfiKefvDE8+dBACfo9j4xkmN14ecbNq1SrMnj0bM2bMwLhx47BmzRrccMMNCAaDmDhxom6fa665Bu+++y7mzJmDcDiMZcuWYcaMGVi5ciWi0agtOgUBiESCxR1K1Fe21RSiC69pzraasarRZdUHu3U5HlvIEIRyWxGFOpt6CtGHHLK5HCAIEMXCBzqXSWNXwoOwV0Yo1KQ4gJwEFGpqpa8rCHptfL/nVcfWZh941aXX3twcQiyWgqT3uxLCNKZ/ClAvlixZgkmTJmHevHkYN24cFixYgEmTJmHp0qW69ps2bcL69euxaNEinHnmmTj11FPx8MMPIxaL4cknn7RFo8/nQUtLBIGAt+REraUQbcXW7FhWbFnrYuVDPWMrCkLJasXCn8IuJJ7CViRIpdLYvuPf+J+rrsWPrrgAH733DtKpbuRzWfzhtw9i1PD9cfNN/4tkIgFZLkwNeUQB6byyq0mpJkUXZHnPshJnYlttvOw4b+v5ntcjtoXvkzACASZPJOuzcB299vZ2tLW14dprry1pP+2007Bq1Sq0t7djyJAhJcc2bNiAcDhc3AcTAFpaWjB69Gi88soruPTSS5nrDAS8xd1JgNKTWVsw1muz01aLka3Tuszo5UWXuk0QCgkmJ8nF354JggABwM7du3DN/IV4ac06ZLOFaZ/b/991+MrgfbD1nb8gsXsnAOD+e+7Gvz7ajMeffg7BUGEfQRmFrbkCnsJrlcej52cArPzlLba863Lah1DIRwtLaoDrOzflKQPDhg0raW9tbQVQ2PJLr09rays8ntK53QMPPFDXniBY8vLaV4qJTeHDv/UkNoXOjg5I+axhUi9rQ8msJ0EQvcD1nVssFgMARCKRkvZwOAwAiMfjZX3i8XiZvdJHz7437rvvF9i5c1dFG7/fC5+vvFCqvSIzarPTVg8edJnVy4MuvTZJdeem0N2dQiDThfjOnZojAiCIgNzzo9x/f/45Ft+6CAHNfqweoefuUKNMVxdUd3OFtnJbpa3ctrzNyF8nY8vre+60D/m8ZPpp3LfdZn6NhLJa0mkEgc3qTLOrLrlObto5a227+onX2mN66Nn3xmWXzeq1sBsIeBGNBgGUF617a7Niq/Wt3ra8+mCnLlnGnh9SF9qkPQkiJ8noSudx9Y8W4M233sac//dTfPZFB/YddzYGjPxvbF9xNzI7d6Bz0wqMO+lk/PJXj2CfffeDKAjwefbUWkQluQllGorTkXuSXjG1yio77VMFLNoKQt96z3n3IZnMIJnMgDX1Wi3JCrOrLrlObsrKRu0dVyKRKDmuJhKJ4NNPPy1rTyQSund0LEinc8jlkujXLwiPpyeBKvPpVj5AtdhW6l+Nrdt1WfVB2YFEViUJEUAiIyGZkwEZ8Hq9OO7Yo/Hwbx7H7BVtyAsewOOD6AvgoPN/hqVLl2L8Vwci1NRUHCsvCYj4zemCUKpBhrznP6W6DG1R7kMhecplbY123vKqy+p5K0kyYrEUsi7f2NhumNXcNm/ejGXLlrF6OQAo1tra2tpK2rdt21ZyXNunvb297Opp27ZtuvasyOcl7NyZhDLFoL761l6Jq/9t1FaNrZmxqtVViw+86rLsw54tsLS2KWUbkj3tHo8HbTEZ3kAQ8PQ8tkTwhzD+iCHFxKb08Yql41bSVTitNX4L+rp0bQ180BurUnsjnbe86jKy7exMUGJjANPk9otf/ILVywEoLBwZPHgwXn755ZL21atXY+jQodh///3L+pxwwgno6urC66+/Xmzr7OzEpk2bcPzxxzPVp4cmpxJ9GPUXl5uoNPVPELzAbFpy7NixeOSRR1i9XJFZs2Zh7ty5aG5uxvjx47F27VqsWrUKd9xxB4BC4mpra8Pw4cMRiUQwevRoHHfccbj22msxe/Zs9O/fH3fffTei0SjOPfdc5voIoq/h1qTdV9AuKPGJAjwN9JY26Sze08MwuS1ZsgSnnXYajjjiCFMvtNdee2GvvfYyp84C06ZNQyaTwUMPPYTly5djyJAhWLRoESZPngwAWLduHebOnVvysNRly5Zh4cKFuPXWWyFJEo499ljceeedaG5uZq5PQRQFRKPlO5Sor3L12o3agPK5eBa2teiy0wf1F6adPtQUW4MdSvweoKQ+L8sYOsAPUQB8IqA8uSToFfBxRwpH7hsClNWQsoy83PNa6tctTC069J4LBS1mY2s0ftWxtfm85VWXXvuAAU3o6kohb9OKRu2CkpMPHYQBDm6L5RSCbDDHMHLkSPz4xz/G9OnTAQCHHXYYbrvtNkyZMsVRgfWmoyPe62pJv9+Dfv1CAHovWqtRvry0bVb682Dbl3TJMnqe5yb3tGfyErpSEiQU5vpDPgGxjIS73/gPXv0kgfYX78L8BfPx7SP6Q4CAzJ46nUcAwn4Ryh4A2kSvxe7YCsVn1RX+pziqltTX3vN6+RCPp03/FGDgQPPbCj6+YYtrklslvw3v3KLRKJ555hkMHDgQTU1NkGUZH3/8Md58882Kg40ePbp6pQ2K3+8t+0LSXnVXagPKv9RY2Woxq6sePpjRWg9d6jZBAIQ9z3FT2/k9IlpCQDInF5fz9w968OOT98WWjjQe2tof54xoKdp7xcK2XV5RMPRdjR3+6sVWhk67UFhpKTp03vL2ntfLh2DQazq5EeUYJreLL74YCxcuxOWXXw6gEPD77rsP9913n6698gb985//tEcpQXCOIPSsfFRzUEsAIZ+oa2smsREEYR3D5HbRRRfh+OOPx4cffohMJoN58+bhrLPOwtFHH+2kPoJoKASgbOcSSlUE4Ty9LihRamzPP/88Jk2ahDFjxjgmrlHIZHIIBgu/Z9LOpfdWtGZZiHa6mG6HD0bj11uXtm3Pv0prUwD8nkJdLrtney6vCHiEwmo0ETIkCIXpSJ0amwCltrVnBxRBKNa7BEEZje35oY2tokE9lqLByfO22vfcjG2tnye7fVD+bdemycpqSWWVpNnVh42GYXJ75JFHcOCBBxZXS7755pv48ssvHRPWSGQyeXR2JhCNBot7TKpPXqMvbr2Tv9KXPAtb1rpY+cCrrt5sIcvF7bh6phNl+FVrqwWh8ANwr8GTI2RZLi4oUb8GIAOC/lhWfDDnl1z6NII9bQVD9523vOqSZRn5vOTIaslGXkhiBtMLSgDgX//6Fy0oMUCSZOze3Y2WlnDZFlxA6dWa0m6mzS5bq7qc8oFXXRVtJRYLf0z6INkTW0FnfCNbLbyft2b08nTe7tyZ1NVNWIMWlBAEYQm9JEAQvEELShhDn/k+iJPvOQfnFyU2ohGouP3WV7/6VXz1q18FQAtKesPjERGNBotTC0D1hXe9OXoztmbGqkVXtT7wqoulD5D3LMEoTkMp60E0C1GEgi20bZb87anxybJSKzMYS2tbQZeV2BrF0I7Ysjg/eNWl197SErb1qQBfP2hvSJLk2oUkCqb3lvzNb35jp46Gxuh5bnofdm2b0q5gtr9Ttmb618MHnnSJwp59PeQ9CzME9DxsVJDL2wX0rLPc06Ykl958EIU9u/0LOotAhJ5FIGUaFFvo26KX57nx8J6z/jzVwwcz/T0eAc3NIdue5yYKQLOLF5IoGCa3CRMmYN68eZgwYULx/70hCALWrFnDTl2D4PN5qi5EW7HltZjOygczWuuhy1wbAOjs5AEB0p5l9ep2yPq7fpjxQUlcyi4pxdyGnu3B9MbS2kqyXEysPMeWB9t6+OD3e5CktSVVY5jc9t9//+IqSeX/BEEYIwhQboZK25VjJmwtjWfydZW2Mlud/gThFgyTm3YakqYlCYIgiEaB2cNK+zLpdA6S1DN3rp5H1xaP9Y6ztFW3qf/0Zmu3LjO2lbTyFlttHyu2vPpAuvjyobubNk2uBcM7txkzZlT1go8++mjVYhqVbDaPzs44IpEgAoFCSJ0sWvNaTNeO5QYfqtWlXVTAe2yr1VWLD2b6O+FDvWObzeYRi6V6fdRWtfg9IlDrnHgDYJjcPv3007K2jo4OpNNpNDc3o7W1FZIkYfv27di5cyf69++Pr3zlK7aK5RlZBmKxFHy+0h1KAGtFa20bD7ZuWRDAqy6Av9hW0qWF99ia0ctLbGW5sNORnWTyEgKN9OjtKjFMbmvXri35/1/+8hdcfvnlWLhwIc444wyIYs8X+IoVK/C///u/+O53v2ufUoIguEDvi50geMN0ze1nP/sZpk+fjqlTp5YkNgCYMmUKzjvvPCxdupS5wEaDPvOE26HEZi8UXjaYTm5tbW0YOnSo4fF9990XX3zxBQtNDYnP50FLSxjY8yRjZU5d+2+FSsdr6e+ULa+6KLb226qP8aTLyJZXXUa2LS2RYu2eqB7TyW3YsGFYuXIl8vnyLWHS6TSeffZZHHLIIUzFNQrBoA/NzSF4PCJEUX/xgLZorLT1ZqtuU+bkzdiqx7Jia7euan0wq8vp2PKky2kfeNXV6LEVRQGRSBDhcAB24Pf0jUXypi8PLr30Ulx77bU477zzMG3aNAwZMgTpdBqffPIJnnzySXz22WeGTwxwO16vWDZVo3wY9ArGTthq+/Giy4peXnTxGi83+sCrLqd9EEUBPp89SajPLyjRMnnyZKRSKdx+++246aabSq46DjjgACxbtgxjx461TShBEARBmMXSxO60adMwdepUvPfee9i+fTsEQcCQIUNw+OGH26WvIVBNm3OH3lUhQRCE27FctRRFEUceeSSOPPJIO/Q0JOl0FsGgF0BhvlxbJNbOt6vn3Z20bQRdCup2HnTp2Vodqx7vA2sf3K6LFx9kGUgmaYeSWqAlOQzI5SR0dCTQ1ORHU5MfQGkNSX1iq09q9QmttdW2adsr9bdiy6suN/ig1qX9MqPYulOXVR/0+qfTOcTj6RI/Cev0jWUzDpFMZiBJ+oVk9d9Gbdpj1fS325ZXXRRbiq2RLa+6tChtsVjK1sTWV1ZL9g0vCYIgCACF1ZJ9AUpujNG5ICMIV6F310Gwg+LLBkvJ7bPPPsPixYuxe/fuYtv999+PhQsXoqOjg7m4RsLv92KvvcIQhN53KKnluNXXqte4LHWxHJdiW7sP6j+NEFtedRnZ7rVXGMGgD0RtmE5uH374Ic4880z8+te/xo4dO4rtXV1deOKJJzB16lS0t7fbIpJ3QiEf+vULQhRFw8UDRm3V2vbWX51kzdqy0GXG1qouM7a8xpalLoptY8W2lrEikQAikSCI6jGd3G6//XaEw2GsXLkShx56aLF99uzZWLlyJXw+HxYvXmyLSN7xePR3KFH/bdRWrW1v/ZX/mxnL6LWd9kFPLw+6ejvmlC43+MCrLh598HrtmZ4MeftGNcq0l2+//TYuvPBCDB06tOzYkCFDcP755+PNN99kqY0gCIJgjN+enMkdppObLMtIp9MVj6dSKSaiGg3VdDxXqOfxCfbwGFseNVUDj37wqIkwxnRyGzlyJJ566il0dXWVHUskEli+fDlGjhzJVFyjkEplkc9LxcfC81K05vW1jGzVf2p9LZa6Gim2TrxPFFt74yFJMiRJQiKRAVE9pnco+cEPfoDzzz8fU6ZMwemnn47W1lYIgoC2tjasXLkS//nPf3DLLbfYqZVb8nkJnZ0JhEK+4mMq1HPoyomr16Zna9S/WttK/XnW5QYftDUV3nSxtOXVB151GdmmUhlKbAwwndxGjhyJX//611i0aBEeeuihkiuZQw89FLfccguOPvpo5gITiQQWL16M1atXI5lMYtSoUfjRj36kW/tT88Ybb+AXv/gFNm/eDL/fj2OOOQZz5szBkCFDmGtU6O7OIhTyw6PZAUAQyvdPVNrMFqJrsTXqb0WXHT70NhZrH8zqYumDmbHqEdt66aqHD3pj86DLyJYSGxss7S05atQoLF++HJ2dndi+fTskScJ+++2HQYMG2aUP11xzDd59913MmTMH4XAYy5Ytw4wZM7By5UpEo1HdPm+99RZmzpyJCRMmYPHixUgmk7jnnntw7rnn4sUXX8SAAQNs00sQBEHUn6o2Ts5ms5AkCQcddBACgQAkSYIosl9eumnTJqxfvx4PPPAATjzxRACFBDthwgQ8+eSTuPTSS3X7Pfjgg/jKV76CpUuXFnUdc8wxGD9+PP7v//4PF110EXOtQOHKS+9qUHuF1htGV5X1hFcfeNVlBas+OIWbYsurLj1EUSjW74nqsZSR/vrXv2LatGkYP348zjnnHPzjH//Axo0bMX78eLz00kvMxW3YsAHhcLjkIagtLS0YPXo0XnnlFcN+I0aMwIUXXliScPfZZx9Eo1HbfmgeDPrQ0hKGINReiLZiW+m4+k+tr1UvH3jVVc/YshyXYsufrpaWcPHpIkT1mE5u77zzDr73ve8hkUjgwgsvLL4Rzc3N8Hq9mD17NtavX89U3JYtW9Da2gqPx1PSfuCBB2Lr1q2G/S6//HJMnz69pG3jxo3YvXs3hg8fzlQjAIRCfoTDAYhibTsX6LXVamvU34quevrAqy47YstKF8XWvtiy1mVk29TkRzRKO5TUgulpyaVLl2Lw4MF47rnnkEwm8fDDDwMAjjzySPzud7/Dueeei/vuuw8nnXSSqdfL5XJYuXKl4fG9994b8XgckUik7Fg4HEY8HjcrHZ2dnfjxj3+MfffdF9/61rdM9zOLx1N4SKka5aRVfyjUx/RszfS3aqs3tlVdTvlgRL112Rkv7Zcmi/fcaR941dXosfV4+JpKbTRMJ7e//e1v+J//+R8Eg0F0d3eXHItEIjjrrLNw1113mR44nU5jzpw5hsePO+44+HzGm4earfF98cUXmDlzJr744gs8/PDDaGpqMq2RIAiCaEwsLSjx+43ngdPpNCTJ/HOCwuEwNm/eXNHmyiuvxKefflrWnkgkdO/otGzevBmXX345EokEHnzwQdt+ZC7LMLwi07evvvCuvXI0Y+uELisY+WA0fr11VbK3EttqqeY9t2Lvhtg6+XmyYl9LbGs4ZQhY3KFkxYoVuseSySSWL1+OI488kpkwABg2bBja29vLTqpt27Zh2LBhFftu3LgR5513HmRZxuOPP45jjz2WqTY13d0Z5HKVdyhRtyntZmytFKLttq3Uv54+8KqLlQ+86nKDDzzqkiQZ+byERMJ4u0Oid0wntyuvvBLvv/8+zj//fLzwwgsQBAHvvPMOHn30UXzrW9/Cp59+issvv5ypuBNOOAFdXV14/fXXi22dnZ3YtGkTjj/+eMN+H3zwAS677DLst99+eOqpp3DwwQcz1aVFkmTs2pVEPN7zePhqC9FWbI36y3JpgdyKLQtddvjAqy6nfeBVlxt84EVXMplGZ2cCuVzfeGK2XQiy+jKjFzZs2ICbbrqpbKpw4MCB+PGPf4xTTz2VucALLrgAH374IWbPno3+/fvj7rvvxq5du/Diiy+iubkZAPDxxx8jk8ng8MMPBwBMnz4dH3zwARYvXox99923ktsyjwAAIABJREFU5PX22msvS7uUdHTELf3mpKUlXLZDCaA/RWG2rdFsSVd5+/z58zF//vyG9oGXsaza6sGDLiPbL780v1hOYeBA/Q0t9LD6ncYzlfy2VHMbO3Ys/vCHP+C9995De3s7JEnCAQccgK997Wvweqv6PXivLFu2DAsXLsStt94KSZJw7LHH4s477ywmNgBYsGABtm/fjrVr1+Kzzz7Du+++CwC46qqryl5v+vTp+PnPf26LVoIgCIIPLN259UWsXOWIooABA8JlPwtQT0to2/Xa7LJ1cqxabHnVVcm2t/6V7twotpVt+5quXbuSlqck6c6tnF5vt7q7u/Hss8/i1VdfxQcffIBdu3ZBEAS0tLTg0EMPxYQJE3D66adXXEnZF2hq8hd3FVCfuOprB+Uk17ZZtdVi1rbSWFZsefWBV13K3+p/O6WLlQ88x7ZWH3jT1b9/E1KpLBKJNAwkEiaomNzefPNNXH311ejo6IDf78eBBx6IAw44ALlcDrt27cKf/vQnrF27FsuWLcPtt9+OY445xindXKEkNu0VspWr6VquvNVfnHbY8uoDr7rs8EHbZrcPfTm2POgKBn0QRQFdXX3zAdAsMExuH3/8MS6++GJEIhHceuutmDhxYtndWTwex8svv4y77roLF198MZ5//nm0trbaLpo3lG231GivxrTHWNoqbXq2eq+nZ2uHLqs+GFFvXVbjxWNs3aLLCR8qfZ6cjK22vEFYw/CnAPfffz9CoRCee+45nHHGGbrTjpFIBNOnT8czzzyDQCCABx980FaxBEEQBGEGw+S2ceNGfPvb38Y+++zT64sMGjQIU6dOxdtvv81UXKOgnpowa1/p/9XaNpIuFu1O6WJhX+/YsrB3g65G8sHicIQGw+TW0dFhaYrxoIMOwo4dO5iIajSSySwymVzxBFUnFeXf2kSjPq5uq8VW+2+9/rzpUv9Rpm16G4uVD2Z1UWyd0dVIsVUftyO2uZyEeJzqbbVgWHPLZrMIhUKmXygQCCCRSDAR1WjIsoyurhR8Pg+amwsxs2NBgBNF/nrrUtcl3LSAQhDKd7ZwWhevsVUnBzpvZcRiKaTTORC1wf7x2X2YbDYPSTK3sKPSsVr6O2nLuy6KLcVWuajgUZeRDSU2NlT8KcCuXbvw2WefmXqhnTt3MhFEEARBELVSMbndfPPNuPnmm53S0vB4vSJEsXxpsHpe3Qx60yBmbSuNVYuuWn1gpYti2zix5UGX0VSh07qs2Pp8HmSzeVN6CWMMk9uZZ57ppI6GRhCAcDiAYLDn4arqQrO6rbSf8e9erNr2NpYbdLH0QVsjsVuXunbTl2LLk656+aCtKfZm29wcQiaTRzyecs02WfXAMLndcsstTupoaEIhP4JBn+2FaJZFa950Ke1m+/PoA6+6lPZ6xZZXXU76oE1wvdn6/R5Eo0Hs3t0NojpoQQkDjHYoMcJJW151mbHjRZfRMR51VbIlXY3lg8XhCA2U3AiCIAjXQcmNAZJUvhOI0Ry93jE7bXnVZcaOF11Gx3jUVcmWdDWWDxaHIzTY84TRPkZ3dwaiKJQsKAHqV7TW6+8GXSx9sFrkp9g2vq56+aCt7ZmxVRaUENVDyY0BsgzE42mkUln0798EwHzR2kwh26wty2I6r7pY+qD87YQPSv2zL8WWR12N4MPu3d30UwAG0LQkQ3I5yfIOJXpYsXeqQN6ICwLM9LdiS7FtPF3KRYUVezt0WbGlxMYGSm4EQRCE66DkxhCfz1PcoUSNlUKyXpvVQrRTtrzrothSbPXqZrzoMrIJBKhaxAKKIgMEQUA0GoDf762qEO1E4Z1XXWpbO4r8vMRWOU6xNdbVSOeteizWsY1GgwiFJMRi3cjnjRMmURlKbgxoavIVExvg7EIFta26zWhRA4+6jGyNxmLlQ7W6KLYU22p0WbH1ekVEIrRDSS3QtCQDeClaN5IuFu1O6WJhX+/YsrB3g65G8sHicIQGSm4EQRCE66DkxoB671Ciruto2436m5n/d9oHs3UJHmJbqb8bfCBd9feBnghQG1RzY0AymQEANDX5S9qtFMjrUUy3YsurD7zqYu0Dr7rq/Z6z8IGVLpaxTaWySCTSZa9HmIeSGyOSyQxSqSwGDAhDFKsrRNtdtHaiyG/3goB66qpka2Yspb2eCxXcGFsWPvCka9euJHI5CURt0LQkQ/SmJwFnC9G8jFNrMd2Ocex+bafGodg6t6jKCqzGocTGBkpuBEEQhOug5MaQQMBreocSpc3MPH01tnrUoqvePvCqy4qt3T7wqqvePvCqy8g2FPKVHSOsQzU3BoiigH79QvB4REeL1iyK/PUuvLtZl9pWXWPhSVdvtmZ1ucEHXnQ1NQUQCvnR1dVNU5Q1QMmNAaGQH16vWLeFCk7amu3vtA9G/WvxgdfY8qLLDT7wqKuwIE1AOBygHUpqgKYlGSAIVExnMY7VdtZYHaeRYsvKvloottZx6K1xLZTcCIIgCNfBfXJLJBJYsGABxo4di6OPPhqXXHIJPvnkE0uv8cgjj+CQQw7B559/botGSSrfTUBba9E7ZvT/Sv2t2hr1t6LLKR/M1iV4iC0rXW7wgVdd6nZWnycnfaAdSmqD+5rbNddcg3fffRdz5sxBOBzGsmXLMGPGDKxcuRLRaLTX/p988gmWLFliq8ZkMgNJkhEOB0qmEnguWlvVVS8feNWlYFaXFdu+/p7z7INTupLJTHHnI6I6uL5z27RpE9avX49FixbhzDPPxKmnnoqHH34YsVgMTz75ZK/98/k8brzxRvTv3992ralUFp2dCchyaa1LrwivPV6LbaXj6j+1vla9fOBVF8+x5VVXI8SWB107dyYosTGA6+S2YcMGhMNhjB07ttjW0tKC0aNH45VXXum1/69+9St8+eWXuPTSS+2UWcToSk99MpvBqr0T8OoDr7qswKsPvOqygjpp8EQlTfSAUjZwndy2bNmC1tZWeDyekvYDDzwQW7durdj3o48+wrJly3DzzTcjFArZKZMgCILgjLrV3HK5HFauXGl4fO+990Y8HkckEik7Fg6HEY/HK772DTfcgO985zs47rjj8OmnnzLR3BuhkK+4Q4n6yqy3QrT2Ks6of7W2Rv2t6LLDh97GYu2D2bFY+mBGVz1iWy9d9fKBV116tuGwH4kETUvWSt2SWzqdxpw5cwyPH3fccfD5jLehEUXjm857770XXV1duO6662rSaBaPR0Rzc6g4BVJL0Vr7AerNlscFASx1sfShnrrUX7L0njv7ngONFdtg0I9g0IeurhSy2TyI6qhbcguHw9i8eXNFmyuvvFL3riuRSOje0QHA+++/j3vvvRcPPPAA/H4/crkcJKmwhU0+n4ckSRUTYzUEgz54PD2vqf5AaYvHem212PbWX23Diy4jWy286GIVW1bvg5ve80bywSldPTuU+LFrF+1QUi1c/xRg2LBheOONN8re/G3btmHYsGG6ff74xz8im83ioosuKjv2X//1XzjzzDOxcOFCpjoNvpvrjlHSINjAY3z17gYaEYotUStcJ7cTTjgB9957L15//fXiisnOzk5s2rQJl112mW6fs846C+PHjy9pW7duHZYtW4b7778fX/nKV+yWTRAEQdQZrpPb6NGjcdxxx+Haa6/F7Nmz0b9/f9x9992IRqM499xzi3Yff/wxMpkMDj/8cOyzzz7YZ599Sl7no48+AgAccsgh2HfffZnrzOelsrtLda1FO+/PwlZNb7a9jaU+Vm8ftHp50cUiXr29biP44FZdPPqQy9FdYi1wndwAYNmyZVi4cCFuvfVWSJKEY489FnfeeSeam5uLNgsWLMD27duxdu3aumjs7s4in5cRjQZ059O1X9zatmptzfQHnC+m92ZrVVc9fGCtyykfSBc/PtQyVjyeRiqVBVE9gqx3OUIU6eiIm97jTRCAlpaw7oIVM1d2Rm2NZku6ytvnz5+P+fPnN7QPleBBl1mtvOgysu3oSJQlxd4YOLD3rQgVrHyn8U4lv7n+EXejIcuFPwThZuh62F4ovmyg5EYQBEG4DkpuDGlq8hd3KFGj/F/drtemPVZNf7ttedVFsaXYGtnyqkuL0haNBk1PrxLGcL+gpBHwegs7lAD6O5SoC9Ha9kq2auwocPOqixcfWOpSjlFs+dZVDx+0/QMBL/x+L2KxFDKZHIjqoOTGgEDAV7KIRH3iqq/AlJNc2+aULe+6tPCii9VY9XgfeH/PedPFiw+CADQ1+Si51QBNSzLA4LuZC4wSB0EQhJuh5EYQBEG4DkpuDMjlpLK5c+X/6na9Nrts1bUeM7ZO6TKjlzdd9Ryrr/nAqy6nfZAkGdmsBKJ6qObGgFQqi3xeKq5yUmYC7ShaV1tMt2LbyLrq4YOZsZR2J3XZHVtedVWybYTYyjJoMQkD6M6NEdlsHp2dCQDliwe0BWj1v/WO19LfKVtedVFs7bdVH+NJl5Etr7qMbDs745TYGEDJjTGaCzWCcB3auxGCLRReNlByIwjCEuq7DYLgFUpujBCEws4CtexQom7jqfCu1sOTLqs+aH3hRRePsa2kq1IMefSBV11Gts3NoT1P4yZqgRaUMMDn86BfvxAEof5F60r9rdiy1sXKh0aNrXKMYttYuurhg8/nQUtLGLFYCuk01d6qhe7cGBAIeCGK9S9EGxX+zdjarcuMbSWtvMVW28eKLa8+kC6+fAiFfCCqh5IbQRAE4ToouREEQRCug5IbA7LZvCNF694K0SyK6fX0odL4vMXWKV1u8IFXXbz7kMnkQVQPLShhQDqdQy6XRL9+QXg8pU8HqLUQbcW2Uv9qbN2uy0kflHbedGltGzG2vOuyGltJkhGLpZDNUnKrBbpzY0Q+L2HnziRk2foOJXptPBTe1W08LQhgpcsNPtRDV6UY8ugDr7qMbDs7E5TYGEDJjTGa2QWCcB3aKTSC4BFKbgRBWEJ9t0EQvELJjRGiKBR3FnC6EF1N0dqqLqeL6bzoclNsWemqND6PPvCqy8h2wICmkto9UR20oIQBfn9hhxLAnqJ1pf7V2JrRVQ8feNXFwge913DSBzNj1UMXax941WXF1uMRMWBAE+LxNFKpLIjqoMsDBvj9XluL1uo2p4rp9fCh0vi8xbYWXW7woS/qctqHYJDuPWqBkhtBEAThOii5EQRBEK6DkhsDMplc1UVrloVop4vprH2oND5vsa1Flxt86Iu6nPaBnghQGzSpy4BMJo/OzgSi0SB8Pg8AfovWrHWx8kFdh+BJVzU+6PXXvkY9Ysvbe15PH3jVJcsy8nkJXV0p5PMSiOqhOzdGSJKM3bu7IUly3QrRZmyr1WW3D2p40uWm2LLSVWl8Hn3gVZeR7c6dSUpsDKDkRhCEJdR3HQTBK5TcGKO5CSEI16G90yYIHqHkxgjlh5eCUPpD0noUolnZqttq8YFXXW7woR66KsWQRx941WVk29ISLtbuieqhBSUMCAS8iEaDAMwXktVXv+oT3Gx/p2zN9K+HD7zqMrLVa+fVB151sf481cMHM/09nsJWfslkBslkBkR10J0bA3w+T9WFaCu2vBbTWflQaXzeYluNLjf44CZdvPvg99PdWy1wn9wSiQQWLFiAsWPH4uijj8Yll1yCTz75pNd+27dvx1VXXYVRo0Zh9OjRuOKKK7Bt2zb7BRMEQRB1h/vkds011+Dll1/G7NmzsWjRIvz73//GjBkzEIvFDPvEYjF897vfxdatW7Fw4ULcfPPNaGtrw8yZM9Hd3e2geoIgCKIecF1z27RpE9avX48HHngAJ554IgBg1KhRmDBhAp588klceumluv1+/etfI5lM4rnnnkNLSwsAYPDgwbjkkkvw3nvvYdSoUUx1ptM5BAI+CEJhOkGZQy/85q3wOBzl/0DpvHslW1mWIYrltnpz/Pm8DI9HO5ev9C1t146ltOmNZcVWGbM3HxRdhWPa1+2ZyrEar0q2ooiS1zWOLQDIGlsJoiiWxVaWZd3YqsdS2pTaSi3vee2xhenYmrXV6jI6P4x1lcZWGUuWe87bauJVS2yt+1D956mSru5ueiJALXCd3DZs2IBwOIyxY8cW21paWjB69Gi88sorhsntD3/4AyZOnFhMbABw2GGH4bXXXrNFZzabR2dnHOFwEMGgF/m8hFgshVxOgt/vRTQagCAISCbT6O7OQhQFRCJB+P0e5HJ5xGIp5PMygkEfIpEAZBmIx1NIp3PweEREo0F4vSIymRzi8TQkSUZTkx9NTX7IsoxYLIVMJg+v14N+/YIQRQGpVBaJRBoAEA4HEAz6IEkyurpSyOXy8Ps9iEaDe3QVCteCICAaDcDv9yKXk/bokhAIeBGJFBbMJBKFx3B4PAUffD4PMpk84vEUJElGKORDOFzwoaArB6+34IPHIyKdziEeT0GWgXDYj1DID0kq+JDN5uHzFXSJooDu7h5dkUgAgUBpbBVdgoCS2Co7xWSzhdhKkrnYxmJpyLJ+bNW69GKbz8uIxbp13vOCD93dWWQyubLYBoOFeGljG42G9uhSx9aPcFjRlS6LbSqVQyKhxDaAUMhnObbKzhhWYqt+z9Wx7ddP/Z6XxtZIVyqVRTJpPrbd3Zk9nyf1edtd/DyVx1b/82Qc2xA8Hhh+nhQf/H4PIpGCD+rPU2+xVXQZxZaoHkFWL+HhjKuuugptbW14/vnnS9p/9rOfYdWqVdiwYUNZn2w2i6OOOgrXXXcdOjs78eyzzyIWi2HMmDG46aabMHjwYEsaOjrilk4yURR07QUB0EZaz1apK5uzLX0waiVbY13lr1G7rnI7qz6Y1WU0Hm+xvfXWmzFnzjyKbQVd9T9v+dRlhoEDo6ZtrX6n8Uwlv+t255bL5bBy5UrD43vvvTfi8TgikUjZsXA4jHg8rtuvq6sLuVwODz30EA466CAsXLgQiUQCixcvxsyZM/Hiiy/C7/cz80OL0Umj94WkZ2t0qaFvq2+sZ2usy5ytNV1WbGvTZTQexZZi6xZdRHXULbml02nMmTPH8Phxxx0Hn89neFwU9dfCZLOFeWqPx4P7778fwWBhOq21tRXTpk3Diy++iG9/+9s1KCcIgiB4p27JLRwO///27j6s5vv/A/izUOlGOsuVNrRDTuOoq7Ji3bColOyajbSkluFymZsUYk00Y4TczTCz3FwlG5abQiiM3GbEVIzojtA5QkWp8/794dfnu8/OKZVO53R6Pa7rXNt5fd7vz3m/3+ej1/ncvT+4efNmvWVmzJiBwsJCuXh5ebnCPbra9QLAgAEDuMQGAGKxGCYmJm/8TEIIIa2fWt8KIBQKUVBQILern5eXB6FQqLCOkZERBAIBqqrk7+yvrq6Wu1mSEEKI5lHr5Obi4oJnz57h7NmzXEwqlSIjIwNOTk511nN1dUV6ejqePn3KxTIyMvD8+fNmvw2AEEKI+lHr5Obg4ABHR0eEhYVh9+7dOHbsGIKDg2FkZAR/f3+u3O3bt5GVlcW9nzp1KmQyGSZMmIC0tDTs378foaGhsLa2xpAhQ1TRFUIIIS1Ire9zA4D169dj2bJlWL58OWQyGfr37481a9bA2NiYK/Pdd9+hqKgIaWlpAF5fPLJz506sWLECs2bNgo6ODoYMGYJ58+ahXTuar40QQjSdWt/npg406Z4Qojq197kRogx0n5s8td9zU7XaaXIIeRsmJp1pWyKkBdGeGyGEEI2j1heUEEIIIU1ByY0QQojGoeRGCCFE41ByI4QQonEouRFCCNE4lNwIIYRoHEpuhBBCNA4lN0IIIRqHkhshhBCNQ8mtkaKjoxEcHNygstevX0dgYCDs7Ozg4uKCVatWcU8K1wTl5eX47rvv4OzsDDs7O0yaNAn37t17Y73g4GBYWVnJva5fv678RitBUlISfHx8YGNjA29vb+zbt6/e8k0dt9amseOyf/9+hdvFokWLWqjFLSs7OxtisRjFxcX1lmsr20tzo7klGyEuLg6xsbH46KOP3lg2Ly8PwcHBsLOzw5o1a3Dnzh2sXr0aZWVlWLBgQQu0VvlCQ0Nx/fp1hIeHw8DAAOvXr0dQUBCSk5NhZFT3hKY5OTkICgqCj48PL96rVy9lN7nZHT58GLNnz0ZQUBBcXV1x/PhxzJ07F3p6evDy8lJYp6nj1po0ZVxycnJgYWGB5cuX8+KmpqYt0eQWlZubi8mTJ6O6uvqNZdvC9qIUjLxRcXExCwsLYx988AHr378/+/LLL99YJyIigg0ePJhVVlZysfj4eNanTx9WXFysxNa2jEuXLjGRSMROnTrFxSQSCbO1tWU///xznfWKi4vl6rVm7u7ubObMmbxYSEgI8/LyUli+qePW2jR2XBhjbPz48XJ1NM2rV69YXFwcs7OzY46OjkwkErEHDx7UWb6tbC/KQIclG2D16tXIysrC1q1b0adPnwbVSU9Ph5ubG3R0dLiYl5cXampqcObMGWU1tcWkp6fDwMAAzs7OXEwgEMDBwQF//vlnnfVycnIAAFZWVkpvo7IVFBQgPz8fnp6evPiwYcOQm5uLgoICuTpNHbfWpCnjArzeNjRhu6jP5cuXsXLlSnz11VeYPXv2G8u3he1FWSi5NcDEiRORnJyMgQMHNqj8ixcv8ODBAwiFQl5cIBDA0NAQd+/eVUYzW1Rubi4sLCzkHv7ao0ePevuXk5MDHR0drFu3DgMGDIC1tTUmTZrUKsckNzcXAOS+ZwsLCwBQ2Kemjltr0pRxefToESQSCbKysuDl5QWxWIxhw4a98Txda9OrVy8cP34c06ZNa9CDk9vC9qIsbfqcW3V1NZKTk+tcbmpqCmdnZ1haWjZqvc+fPwcAGBoayi0zMDBAWVlZ4xrawhoyLmVlZU3qX05ODqqqqqCnp4f169fjwYMH+OmnnxAQEID9+/ejS5cuzdKHllDX92xgYAAACsehqePWmjRlXGr36AsLCzFnzhzo6upi3759mDt3LmpqajBq1Cglt7plNPb8YVvYXpSlTSe3yspKhIeH17nc0dGRdzigodj/PyJPS0v+4ZSMMWhrq/cOc0PGpUOHDnUur69/U6ZMgZ+fH28v2M7ODt7e3oiLi0NoaGjTGq0CdX3PtXFF48DqeXyium8XDdWUcenXrx82bdoEBwcH7o+5i4sLJBIJ1q5dqzHJrbHawvaiLG06uRkYGODmzZvNvt7af5yKfllVVFSo/RVODRmXGTNmoLCwUC5eXl6u8JdmLZFIJBfr3r07evXqxf16by1qv8f/fs/l5eW85f9maGjYpHFrTZoyLgKBAG5ubnLxwYMH4+zZs5BKpRAIBEporXprC9uLslDqVwIDAwOYmZkhLy+PF5dIJCgrK5M7F9EaCYVCFBQUyP2yzMvLq7N/jDHs27cPGRkZcstevnwJExMTpbRVWWr7mZ+fz4vXfu+KxqEp49baNGVcrly5gt27d8vFKysr0b59e7X/QagsbWF7URZKbkri7OyMEydOoKqqioulpKSgXbt2cHR0VGHLmoeLiwuePXuGs2fPcjGpVIqMjAw4OTkprKOlpYVff/0VP/zwA2QyGRe/ceMG8vPzW924WFhYoFu3bjhy5AgvfvToUbz//vt499135eo0Zdxam6aMy9WrVzF//nze3rtMJkNKSgrs7e3rPQyuydrC9qIs7aKioqJU3YjWJDExEdra2hg5ciQvfvv2bRQXF3MXRAiFQsTGxiIjIwPGxsY4efIkVqxYAV9fX3zyySeqaHqzeu+993Dx4kXs3LkTnTt3xv379xEREQHGGH744Qfo6ekBkB8XU1NTbN++Hffu3YOhoSEuXLiA+fPn4/3330dkZGSrO49gZGSEjRs34smTJ9DS0sLWrVuRmJiIhQsXonfv3pBKpbh58yYMDQ2ho6PT4HFr7Ro7Lj179sShQ4dw+PBhCAQCFBUVYenSpcjMzERMTAy6du2q6i41u+zsbKSmpmL8+PHcIca2ur0ohQrurWvVxo0bp/Am7nHjxjE3Nzde7NKlS8zX15f169ePubq6spiYGFZVVdVCLVW+0tJSNm/ePPbhhx8ye3t7NmnSJHbnzh1eGUXjcuzYMTZq1Chma2vLBg4cyCIjI9mTJ09asunNKiEhgXl4eLB+/foxb29vlpiYyC3bu3cvE4lE7Pz581ysIeOmCRo7LoWFhSw0NJQ5OTkxGxsbNnbsWHbp0iVVNL1F1I7Bv2/ibsvbS3PTYqyey3EIIYSQVqh1HQMihBBCGoCSGyGEEI1DyY0QQojGoeRGCCFE41ByI4QQonEouRFCCNE4lNyISsybNw9WVlZyLxsbG7i5uSEiIgIlJSV11t+zZw+srKya5Yb46upqWFlZ4dtvv+VigwYNQnBwMPdeJpMhOjoajo6OsLW1xa5duxTGGsrf35/rs7+//1v3QR3FxcXxvtvi4mJVN4m0IW164mSiet988w1vTsmysjKcO3cOe/fuxd9//409e/bwHvhaKykpCfr6+rh16xauX78Oa2vrZm1XZGQkb2LatLQ0xMbGws3NDUOHDoWDg4PCWGOYmpoiPDwc77zzTrO2XV04Oztj+fLlSElJQWpqqqqbQ9oYSm5Epdzd3dGtWzdeLCAgAFFRUUhISMDx48cxfPhw3vJHjx7hwoULmDBhArZs2YLExMRmT24eHh6897VzHs6ZMwe9evUC8DrB/jfWGPr6+vj000/fsqXqSygUQigUIjc3l5IbaXF0WJKopc8++wwAkJmZKbfs0KFDkMlk8PT0hLW1NZKTk3kTVCvDq1evAPzvgZt1xQgh6oH23Iha6tixIwDFD2s8cOAADA0N0bdvX3h4eCAmJgapqanw9vZu0Lp37NiB+Ph4PHjwAFZWVvj+++/lygwaNAg9e/bEtm3bMGjQIDx8+BDA6+eL9ejRA5WVlXKxY8eONbW7nEOHDiE+Ph45OTmorKyEmZkZhg8fjunTp3OHZ/39/dGpUyf07t0bcXFx0NfXx44dO2CIU7FEAAAIpUlEQVRpaYnbt29j3bp1uHDhAqqrq9G3b1/MnDkT/fv3B/D6ETIrVqxAWloaHj16BFNTUwwdOhQhISHo1KkT14779+9j1apVOHPmDMrLy2FpaYmJEyfCx8eH196HDx9izZo1+PPPP1FRUQFLS0tMmTIFQ4YMeeuxIORtUHIjaun06dMAgL59+/Lid+/exY0bNzBixAi0b9+eS26JiYkNSm6rV6/Gpk2b8PHHHyMoKAhXr17FuHHj6q0TGRmJxMREpKamYv78+TA3NwdjTC72thISEhAVFQV3d3fMmTMHVVVVSElJwebNm6Gvr48pU6ZwZS9evIjc3FyEh4ejqKgIPXv2xJ07dzBmzBjo6OggMDAQJiYmSEhIwPjx45GQkACxWIyoqCgcOXIEQUFB6NatG27duoX4+Hjk5+fjl19+AQAUFxdjzJgx0NbWRlBQEIyMjHD8+HGEhYXh8ePH3IU2UqkUo0ePxvPnzxEQEIBu3brhwIED+Prrr7Fx40aFDx8lpMWodt5m0lbNnTuXiUQiduPGDSaRSLhXXl4ei4uLY7a2tszb21vuKQpr165lIpGIHTlyhIv5+PiwPn36sIcPH9b7mSUlJUwsFrPp06fz4qtWrWIikYhFRERwMVdXV97TH2rL/HsGd0Wxhvriiy+Yu7s7L+bh4cHGjh3Li1VVVTFnZ2c2cuRIXl2RSCQ3Y/60adOYra0ty8/P52ISiYTZ2dmxsLAwxhhjYrGYLV68mFcvJiaGjRo1ilVUVDDGGJs1axYbMGAAe/z4MVdGJpOxkJAQZm1tzSQSCWOMsaVLlzIrKyt25coVrtyLFy+Ym5sb8/Pz42JvM06ENBXtuRGVqj239m8dO3bEkCFDEBkZKfeQyqSkJOjp6WHQoEFczMPDAxs2bMCBAwcwceLEOj/r3LlzePXqFfz8/HjxL7/8Eps2bXrLnry9pKQkvHz5kheTSqUwNjZGRUUFL66vr88dagSAmpoanD59Gm5ubujevTsXFwgE2LVrFwQCAQDAzMwMycnJEIvFGDp0KIyMjBAWFoawsDBuPampqXB1dYW2tjakUim3Lk9PTxw+fBjnz5/H8OHDceLECdjY2MDW1pYro6enhy1btnCHlQlRFUpuRKVWrFgBU1NTvHr1CqdPn0Z8fDy8vb0RFRUFXV1dXtlr164hLy8PAwcOhEQi4eK1V0omJibWm9yKiooAAD169ODFBQIBOnfu3FxdajIdHR1cvHgRhw4dQm5uLvLz87l+/rfNJiYm0NLS4t5LJBK8ePECFhYWcusViUTc/y9atAihoaGYO3cu2rdvDzs7O7i7u2P06NEwNDRESUkJKioqkJKSgpSUFIXtvH//PvdfGxsbueU9e/ZsfOcJaWaU3IhK2dvbc7cCDB48GBYWFli8eDFKS0uxYcMG3h/wAwcOAADOnz+PoUOHyq3r9u3buHbtmsI/uAC4dVVWVsotk8lkb92XtxUdHY3Y2FiIxWLY2tpi5MiRsLOzw8KFC3nJHADatWvHe1/b/jc9ydzZ2RknTpzgXunp6bh06RJ27NiBvXv3cusZPnw4fH19Fa6jNtHW1NS0uienk7aDkhtRK4GBgTh37hxSU1Oxfft27uKFmpoaHDlyBPr6+oiOjpb7o5qeno6dO3fijz/+qDO51SbRe/fuwdLSkos/ffoUz549U06HGqigoACxsbH4/PPPsXTpUt6yx48fvzGJCAQC6OjoIC8vT27Z5s2bUVpaipCQEGRnZ8Pc3BwjRozAiBEjIJPJsGXLFsTExODw4cPw9fWFrq4uampq4OTkxFtPUVERsrOzuUOO5ubmCj9vz549yMzMxIIFC+QOKxPSUuhnF1E7ixYtgrGxMdasWYOCggIAr8+XPX78GF5eXvD09IS7uzvvVXupfH33vLm4uEBfXx/bt29HTU0NF4+Li2uRftXnyZMnAMBLusDrmVEKCwt57VVER0cHTk5OOHnyJHeLAgCUlpYiNjYWhYWFkEql8PPzw5YtW7jl2tra3GHddu3aoUOHDnB1dUVaWhpu3brF+4wlS5Zg6tSpKC0tBfB6TzszMxPZ2dlcmaqqKvz666/IysqixEZUivbciNoxNTXF7NmzERkZiYULFyI2NpabDWT06NEK6wgEAnh6eiIpKUnhrCYA0KlTJ4SFhWHx4sUIDg6Gl5cXbt68iYMHD0JPT69Z2p6fn48rV67A3t6ed2HHm1hZWaFr167YuHEjXrx4ATMzM2RmZiIxMRG6urooLy9/4zpmzZoFPz8/jB49GgEBAdDX18fvv/+OyspKhISEwNzcHD4+PoiLi0N5eTlsbW0hlUoRHx+PLl26YNiwYQCA2bNn4+LFixg7diwCAgJgbm6OtLQ0nDp1CgEBAdxsLFOmTMHRo0cRGBiIcePGoUuXLjh48CDy8vKwdevWpg0gIc2E9tyIWvL19UX//v2Rnp6Offv24ejRoxAKhbwrBP+rdgLiP/74o84ygYGBiI6ORmlpKZYtW4arV69i48aNvHkk38aFCxcQHh6Ov/76q1H1dHV1sXnzZtjY2GDbtm2Ijo5GVlYWIiMjERoaitLSUm4KsLqIRCLs2rULYrEYv/zyC3788UeYmZkhISGBS0hLlizB5MmTcfnyZSxevBjbtm2Dg4MDdu7cyV1UIxQKsXv3bri6umLXrl1YunQp7t+/j4iICN7k0l26dMFvv/2GwYMHIyEhAStXroS2tja2bt2KAQMGNHLkCGleWowpmAKCEKJU/v7+KCkpaZZZTdRd7Y3zp06dQteuXVXdHNJG0J4bIYQQjUPn3AhRkYqKCuzfvx/vvPMOXFxcVN2cZnf37l1cu3YN//zzj6qbQtogSm6EqEhJSQnCw8Nhb2+vkcktPT1d4aTUhLQEOudGCCFE49A5N0IIIRqHkhshhBCNQ8mNEEKIxqHkRgghRONQciOEEKJxKLkRQgjROP8HIOoekvbEyDcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "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": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "39269 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": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/DES_DR2.fits\".format(OUT_DIR), overwrite=True)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
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