{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Herschel Stripe 82 master catalogue\n",
    "## Preparation of DES data\n",
    "\n",
    "Blanco DES catalogue: the catalogue comes from `dmu0_DES`.\n",
    "\n",
    "In the catalogue, we keep:\n",
    "\n",
    "- The identifier (it's unique in the catalogue);\n",
    "- The position;\n",
    "- The G band stellarity;\n",
    "- The magnitude for each band.\n",
    "- The auto/kron magnitudes/fluxes to be used as total magnitude.\n",
    "- The aperture magnitudes, which are used to compute a corrected 2 arcsec aperture magnitude.\n",
    "\n",
    "We don't know when the maps have been observed. We will take the final observation date as 2017."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n",
      "This notebook was executed on: \n",
      "2018-02-21 16:08:13.764397\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n",
    "import datetime\n",
    "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "#%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rc('figure', figsize=(10, 6))\n",
    "\n",
    "from collections import OrderedDict\n",
    "import os\n",
    "\n",
    "from astropy import units as u\n",
    "from astropy.coordinates import SkyCoord\n",
    "from astropy.table import Column, Table\n",
    "import numpy as np\n",
    "\n",
    "from herschelhelp_internal.flagging import  gaia_flag_column\n",
    "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, remove_duplicates, \\\n",
    "                                            nb_plot_mag_ap_evol, nb_plot_mag_vs_apcor \n",
    "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag, aperture_correction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "OUT_DIR =  os.environ.get('TMP_DIR', \"./data_tmp\")\n",
    "try:\n",
    "    os.makedirs(OUT_DIR)\n",
    "except FileExistsError:\n",
    "    pass\n",
    "\n",
    "RA_COL = \"des_ra\"\n",
    "DEC_COL = \"des_dec\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Pristine HSC catalogue\n",
    "orig_des = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_Herschel-Stripe-82.fits\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 - Aperture correction\n",
    "\n",
    "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n",
    "\n",
    "Target aperture: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n",
    "\n",
    "The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n",
    "The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n",
    "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n",
    "\n",
    "Magnitude range: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n",
    "apertures = [\"1\", \"2\", \"3\", \"4\",  \"5\", \"6\", \"7\", \"8\", \"9\", \"10\", \"11\"] #Removed \"40\" and \"235\" because they lack errors\n",
    "\n",
    "magnitudes = {}\n",
    "stellarities = {}\n",
    "\n",
    "for band in bands:\n",
    "    magnitudes[band] = np.array(\n",
    "        [orig_des[\"MAG_APER_{}_{}\".format(aperture, band.upper())] for aperture in apertures]\n",
    "    )\n",
    "\n",
    "    stellarities[band] = np.array(orig_des[\"CLASS_STAR_{}\".format(band.upper())])\n",
    "    \n",
    "    # Some sources have an infinite magnitude\n",
    "    mask = np.isclose(magnitudes[band], 99.)\n",
    "    magnitudes[band][mask] = np.nan\n",
    "\n",
    "    \n",
    "mag_corr = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.a - g band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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916t6alml15EAAAmCUoO4k5+Vrsevm6aRhVn60oNv69YnKtQWDHkdCwAQ5yg1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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f16a37c15f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 10 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4yAWN5fQMjvFKFpt6AgHYVOI128we8SIiIvlN4SRDvvX1/wnAr332d2esP6eh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\nvD84RfkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1321fb7898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], stellarities['g'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "We will use magnitudes between 15.0 and 16.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for g band:\n",
      "Correction: -0.5932698249816895\n",
      "Number of source used: 22506\n",
      "RMS: 0.16802000445200524\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['g'], num, std = aperture_correction(\n",
    "    orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], \n",
    "    stellarities['g'],\n",
    "    mag_min=15.0, mag_max=16.0)\n",
    "print(\"Aperture correction for g band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['g']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.b - r band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QM/tNu48KJLUmKhgO7sTRA5Th92nWihqdNGag13EAAPBcV0ZqNkqaLalR0px2yxOSzkpc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\nqwr/H/87qpzT4rekAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627c432e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 10 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fDR0KHKUpFoNELH1YRaMeEsVUR04UTmTEpf4hDp/OfT+ck+8c46VdO3lp907ePf4m8USC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627b690b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], stellarities['r'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use magnitudes between 15.0 and 16.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for r band:\n",
      "Correction: -0.320955753326416\n",
      "Number of source used: 12685\n",
      "RMS: 0.08297723889436244\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['r'], num, std = aperture_correction(\n",
    "    orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], \n",
    "    stellarities['r'],\n",
    "    mag_min=15.0, mag_max=16.0)\n",
    "print(\"Aperture correction for r band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['r']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.b - i band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QQsOK8jR5RJHq6pv0j2dXex0HAIC0EcuZmi2SlkjqlrS03+sxSe9LXjQcTm11QEsaW9TV\nG/I6CgAAaSOWWbqXS1puZvdHJ5iEx2prAvpd3Xq92rhL8ydVeB0HAIC0cNQzNWa2ILr4hpmtOPiV\n5Hw4hDnjy5Xj9zFrNwAA/cRy99MN0fcPJjMIYjckx69Tx5VqMQ/hAwBgn6OeqXHObY2+bzjUK/kR\ncSi1NQGt3damnW09XkcBACAtxDNL92VmVm9mu81sj5m1mdmeZIbD4e2dMuEFJrgEAEBSfM+p+ZGk\nDzvnSpxzxc65IudccbKC4chOHFWiofnZXIICACAqnlKz3Tm3JmlJEBe/zzR3YkB1DTvlnPM6DgAA\nnotnmoQlZvaApD9L2jeQwzn3cMJTISa1NQE9/uZWNexoV83woqMfAABABoun1BRL6pR0Yb9tThKl\nxiO1e6dMqG+i1AAABr2YS41z7rPJDIL4jS3LV1V5vuoamnRt7Xiv4wAA4KmYS81B8z7ttVvSEufc\no4mLhHjURmft7g2GlZMVzxApAAAySzz/CuZJmiGpPvqaJmmMpM+Z2R1JyIYY1FZXqLM3pDfebfE6\nCgAAnopnTM00SXOdcyFJMrNfS1osqVbSm0nIhhicMbFcPpPqGpo0Z0K513EAAPBMPGdqSiUV9lsv\nkFQWLTk81tYjJUOyNX3sUJ5XAwAY9OJ9+N4yM/u9mf2npDck/djMCiQ9k4xwiM286oBWbGrV7s4+\nr6MAAOCZmEuNc+5uSWcq8pyaRyTVOud+55zrcM59LVkBcXS1NRUKO+mldzhbAwAYvOK9XaZb0lZJ\nLZKqzeysxEdCvE6pHKqCHD+XoAAAg1o8t3R/XtINitzxtEzS6ZJeknRucqIhVtl+n86YWK46JrcE\nAAxi8ZypuUHSaZI2OOfOkXSKpNakpELcaqsD2tDcqY27Or2OAgCAJ+IpNd3OuW5JMrNc59xaSSck\nJxbiVVtTIUlcggIADFrxlJpNZjZUkYHCT5vZo5I2JCcW4jWxokAjS/JU17DT6ygAAHginrmfPhJd\n/LaZPSupRNKTSUmFuJmZaqsDWrh6u0JhJ7/PvI4EAEBKxXX3k5mVmtk0SW2SNkk6KSmpcExqawLa\n3dWnlZt3ex0FAICUi+fup3+X9BlJ70gKRzc7cfdT2phbHZAUmTJh+tihHqcBACC14pn76UpJE51z\nvckKg+MTKMzV1JHFWly/U9efU+11HAAAUiqey08rJfGf/2luXk1ASze0qLM36HUUAABSKp5S831J\nb5jZU2b22N5XsoLh2NTWBNQXcnpl/S6vowAAkFLxXH66V9IPJb2p/WNqkGZOqypTTpZPdfVNOueE\nYV7HAQAgZeIpNZ3OuTuTlgQJkZft1+yqMtXxED4AwCATz+WnxWb2fTM7w8xm7n0lLRmOWW1NQG9t\nb9OOPd1eRwEAIGXiOVNzSvT99H7buKU7DdX2u7X7spljPE4DAEBqxPNE4XOSGQSJM3VkscoLclRX\nT6kBAAwecT1RGAODz2c6szqguoYmOee8jgMAQEpQajLUvOqAdrT16O3t7V5HAQAgJSg1Gaq2JjKu\nZnE9s3YDAAaHeAYKy8zOlFTV/zjn3H0JzoQEGDV0iCZUFKiuoUmfnzfB6zgAACRdPBNa/pekiZKW\nSQpFNztJlJo0Na86oAVLNqknGFJult/rOAAAJFU8Z2pmSZrqGHk6YNTWVOjelzbo9Q2tOmNiuddx\nAABIqngntByRrCBIvNMnlMnvM9U1MK4GAJD54ik1AUmrmdBy4CjKy9bMyqF6fMVWdfeFjn4AAAAD\nWDyXn76drBBInuvPqdZnfv+abn/6bX3j4ilexwEAIGnieaLwc8kMguQ4+4Rh+sScSv3H4nd03uRh\nmjOBsTUAgMwU8+UnMzvdzF4zs3Yz6zWzkJntSWY4JMY3Lp6iyrJ83fLgcrV193kdBwCApIhnTM0v\nJH1MUr2kIZI+L+mXyQiFxCrIzdJtV0zXltYuffeva7yOAwBAUsT1RGHnXIMkv3Mu5Jz7vaT3JycW\nEm1WVZm+MH+iHliyUc+s3u51HAAAEi6eUtNpZjmSlpnZj8zspjiPh8duPL9Gk0cU6esPr1Bze4/X\ncQAASKh4Ssmnovt/WVKHpLGSPpqMUEiO3Cy/fnrVDO3u6tM3H1nJDN4AgIwSc6lxzm2QZJJGOue+\n45y7OXo5CgPIlJHFuvmCE/Tkqm3687LNXscBACBh4rn76UOKzPv0ZHR9Bg/fG5iuO2uCTh1Xqn99\ndJW2tHZ5HQcAgISI5/LTtyXNltQqSc65ZZLGJyETkszvM91+5XSFwk5fe2i5wmEuQwEABr54Sk2f\nc273Qdv413CAGldeoG9+YIpeaGjWf728wes4AAAct3hKzSoz+7gkv5nVmNnPJb14tIPMbKyZPWtm\nq81slZndEN1eZmZPm1l99L30MMc3mtmbZrbMzJbEkRdH8fHZlTr7hAp9/29rtG5nu9dxAAA4LvGU\nmq9IOlFSj6T/kbRH0o0xHBeUdItzbqqk0yVdb2ZTJX1d0iLnXI2kRdH1wznHOTfDOTcrjrw4CjPT\njz46TXnZft28YLmCobDXkQAAOGbx3P3U6Zz7pnPuNOfcrOhydwzHbXXOvR5dbpO0RtJoSZdIuje6\n272SLo0/Po7XsOI8fffSk7R8Y6t+/fd1XscBAOCYHXVCy6Pd4eSc+3CsP2ZmVZJOkfSKpOHOua3R\nj7ZJGn64n5D0jJmFJP3WOXfXYb77OknXSVJlZWWskSDpg9NGaeGq7frZonqdM3mYThpd4nUkAADi\nZkd7AJuZ7ZS0UZFLTq8o8qyafWKdvdvMCiU9J+l7zrmHzazVOTe03+ctzrn3jKsxs9HOuc1mNkzS\n05K+4px7/ki/NWvWLLdkCcNv4tHa2av33fG8ivOy9Zev1Cov2+91JAAAJElmtjSWISixXH4aIekb\nkk6S9DNJF0hqcs49F0ehyZb0J0n3O+cejm7ebmYjo5+PlLTjUMc65zZH33dIekSR28qRYEPzc/Sj\ny6erfke7blv4ltdxAACI21FLTXTyyiedc9coMtC3QdLfzezLsfyAmZmkuyWtcc7d3u+jxyRdE12+\nRtKjhzi2wMyK9i5LulDSylh+F/GbP6lCnzy9Ur+rW6+X32n2Og4AAHGJaaCwmeWa2WWS/lvS9ZLu\nVOSsSSzmKjJv1LnR27KXmdnFkn4g6QIzq5d0fnRdZjbKzJ6IHjtcUp2ZLZf0qqTHnXNPxvi7OAbf\nuHiKKsvy9dUHl6utu8/rOAAAxCyWMTX3KXLp6QlJf3TOpf2ZEsbUHJ+lG3bpit+8pCtOHasfXj7N\n6zgAgEEukWNqPimpRtINkl40sz3RV5uZ7TneoEg/p44r0xfnT9QDSzbqmdXbvY4DAEBMYhlT43PO\nFUVfxf1eRc654lSEROrdeP4kTRlZrK8/vELN7T1exwEA4KjieaIwBpGcLJ9uv3K69nQF9c1HVupo\nlykBAPAapQaHNWVksW6+cJKeXLVNf1622es4AAAcEaUGR/QP8yZo1rhS/eujq7SltcvrOAAAHBal\nBkfk95luu3K6QmGnrz20XOEwl6EAAOmJUoOjGldeoH/5wFS90NCs+15q9DoOAACHRKlBTD42e6zO\nPqFC3//bWjXsaPc6DgAA70GpQUzMTD/66DQNyfHrlgXLFAyFvY4EAMABKDWI2bDiPH330pO0fNNu\n/erv67yOAwDAASg1iMsHp43Sh6eP0p2L6vXmpt1exwEAYB9KDeL2b5ecqPLCHN20YJm6+0JexwEA\nQBKlBsdgaH6OfnT5dDXsaNdPnnrL6zgAAEii1OAYzZ9UoU+eXqm7X1ivl9Y1ex0HAABKDY7dNy6e\nosqyfH31weVq6+7zOg4AYJCj1OCY5edk6fYrp2vr7i79+19Xex0HADDIUWpwXE4dV6Yvzp+oBUs2\n6enV272OAwAYxCg1OG43nj9JU0YW69aHV6i5vcfrOACAQYpSg+OWk+XTT6+arj1dQX3jkTflHJNe\nAgBSj1KDhJg8oli3XDhJT63arkfe2Ox1HADAIESpQcJ8ft4EnVZVqm89ukpbWru8jgMAGGQoNUgY\nv8902xUzFHJOX3toucJhLkMBAFKHUoOEqizP1//94FS90NCs+15q9DoOAGAQodQg4a4+bazOOaFC\n3//bWjXsaPc6DgBgkKDUIOHMTD/86DQNyfHrlgXLFAyFvY4EABgEKDVIimHFefrepSdr+abd+tXf\n13kdBwAwCFBqkDQfmDZSl8wYpTsX1evNTbu9jgMAyHCUGiTVv334JJUX5uimBcvU3RfyOg4AIINR\napBUJfnZ+vHl09Wwo10/eeotr+MAADIYpQZJd9akCn3q9HG6+4X1emlds9dxAAAZilKDlLj14ska\nV5avrz64XG3dfV7HAQBkIEoNUiI/J0u3XTlDW3d36d/+strrOACADESpQcqcOq5UXzp7oh5cukkL\nV23zOg4AIMNQapBSN5w3SVNGFuvWh99UU3uP13EAABmEUoOUysny6adXTVdbd1DffORNOceklwCA\nxKDUIOUmjyjWLRdO0lOrtuvh1zd7HQcAkCEoNfDE5+dN0GlVpfr2Y6u0ubXL6zgAgAxAqYEn/D7T\nbVfMUMg5fe3B5QqHuQwFADg+lBp4prI8X//3g1P14rpm3ftSo9dxAAADHKUGnrr6tLE654QK/eBv\na9Wwo93rOACAAYxSA0+ZmX740WkakuPXzQuWqS8U9joSAGCAotTAc8OK8/S9S0/Wik279atn13kd\nBwAwQFFqkBY+MG2kLpkxSj//33qt2NTqdRwAwABEqUHa+LcPn6RAYa5uXrBc3X0hr+MAAAYYSg3S\nRkl+tn58xTQ17GjXj596y+s4AIABhlKDtDKvpkKfPmOc7q5br4eWbmIaBQBAzCg1SDtfv2iyZlYO\n1VcfXK5P3/OqNjR3eB0JADAAUGqQdvJzsvTgF8/Utz80VW+826oLf/q8fvlsg3qD3O4NADg8Sg3S\nkt9n+szc8Xrm5vk6d/Iw/fipt/SBOxfr1fW7vI4GAEhTlBqktRElefr1J0/VPZ+Zpc7ekK787Uv6\n54dWqLWz1+toAIA0Q6nBgHDu5OF6+uaz9IX5E/TQ65t07m3P6U8MJAYA9EOpwYCRn5OlWy+aor9+\npVbjyvN1y4PL9YnfvaJ3djJnFACAUoMBaMrIYv3pi2fqu5eepDc379b771isO555Wz1BHtgHAIMZ\npQYDks9n+uTp47Tolvl630kjdMcz9brojsV6cV2T19EAAB6h1GBAG1aUp59/7BTde+1sBcNOH/+P\nV3TzgmVqbu/xOhoAIMUoNcgI8ydVaOFNZ+nL51TrL8u36Lzbn9MDr72rcJiBxAAwWFBqkDHysv36\n6vtO0BP/NE81wwr1z396U1ff9bLqt7d5HQ0AkAKUGmScmuFFeuC6M/TDj56st7a36eI7F+snT73F\nzN8AkOEoNchIPp/pqtMqteiW+frQtFH6xbMNet8dz+v5t3d6HQ0AkCSUGmS0QGGubr9qhv7w+Tny\nm+nT97yqf/qfN7SjrdvraACABKPUYFA4szqgJ26YpxvPr9GTK7fpvNue0/2vbGAgMQBkkKSXGjMb\na2bPmtlqM1tlZjdEt5eZ2dNmVh99Lz3M8e83s7fMrMHMvp7svMhcedl+3Xj+JP3txnk6aVSJvvnI\nSl3+mxe1dtser6MBABIgFWdqgpJucc5NlXS6pOvNbKqkr0ta5JyrkbQoun4AM/NL+qWkiyRNlfSx\n6LHAMZtYUag//MMc3XbFdDU2d+oDd9bp+39bo87eoNfRAADHIemlxjm31Tn3enS5TdIaSaMlXSLp\n3uhu90q69BCHz5bU4Jx7xznXK+mP0eOA42Jm+uipY7To5vn66MzR+u1z7+iC25/Xs2t3eB0NAHCM\nUjqmxsyqJJ0i6RVJw51zW6MfbZM0/BCHjJa0sd/6pug2ICFKC3L0o8un64HrTteQHL8++5+v6R/v\nX6rtexhIDAADTcpKjZkVSvqTpBudcwcMYnDOOUnHNWLTzK4zsyVmtmTnTm7bRXzmTCjXE/80T197\n3wlatGaHzrvtOd37YqNCDCQGgAEjJaXGzLIVKTT3O+cejm7ebmYjo5+PlHSo8/6bJY3ttz4muu09\nnHN3OecPbxhSAAAgAElEQVRmOedmVVRUJC48Bo2cLJ+uP6daC286S6dUDtW3Hlulj/zqBa3cvNvr\naACAGKTi7ieTdLekNc652/t99Jika6LL10h69BCHvyapxszGm1mOpKujxwFJM668QPddO1s/u3qG\ntrR268O/qNO//3W1OnoYSAwA6SwVZ2rmSvqUpHPNbFn0dbGkH0i6wMzqJZ0fXZeZjTKzJyTJOReU\n9GVJTykywHiBc25VCjJjkDMzXTJjtBbdPF9Xz67U3XXrdf7tz2nhqm1eRwMAHIZFhrNkllmzZrkl\nS5Z4HQMZZOmGFn3zkTe1dlubLpg6XN/58IkaNXSI17EAYFAws6XOuVlH248nCgMxOHVcqf7ylVrd\netFkLa7fqfNvf06/W/yOgqGw19EAAFGUGiBG2X6fvjB/op6+ab7mjC/Tdx9fow//4gUt39jqdTQA\ngCg1QNzGluXrns+cpl99Yqaa2nt06a9e0LceXak93X1eRwOAQY1SAxwDM9PFJ4/UM7fM16dPH6f7\nXt6g8297Tn9dsYVJMgHAI5Qa4DgU52XrO5ecpD//41xVFOXqy394Q+f/9Dn998sb1NUb8joeAAwq\n3P0EJEgwFNZfV2zV3XXr9ebm3Rqan62Pz67Up8+o0oiSPK/jAcCAFevdT5QaIMGcc3qtsUV3172j\nhau3y2+mD04bqc/VTtDJY0q8jgcAA06spSYrFWGAwcTMNHt8mWaPL9O7zZ36/YvrteC1jfrzsi2a\nPb5Mn6sdr/OnDJffZ15HBYCMwpkaIAX2dPdpwWsb9fsXGrW5tUuVZfn67NwqXTFrrApz+W8LADgS\nLj9RapCGgqGwnlq1XXfXvaPX321VUV6Wrj5trK45s0pjSvO9jgcAaYlSQ6lBmnvj3RbdXbdef1sZ\nmU/q/SeO0LW143XquFKPkwFAeqHUUGowQGxu7dJ9LzbqD6++q7buoE6pHKrP1Y7X+08coSw/T10A\nAEoNpQYDTEdPUA8t3aTfv7Bejc2dGj10iK45c5yuOq1SJUOyvY4HAJ6h1FBqMECFwk6L1mzX3XXr\n9cr6XSrI8euKWWP12blVGlde4HU8AEg5Sg2lBhlg5ebduqduvf6yYouCYafzpwzX52vHa/b4Mplx\nSziAwYFSQ6lBBtm+p1v/9dIG3f/KBrV09umk0cX6XO14feDkUcrJYtwNgMxGqaHUIAN19Yb0yBub\ndc8L69Wwo13Di3P16TOq9PHZlSotyPE6HgAkBaWGUoMMFg47PV+/U3fXrdfi+iblZft02cwxunbu\neFUPK/Q6HgAkFKWGUoNB4q1tbbqnbr0eWbZZvcGwzjmhQp+rnaC51eWMuwGQESg1lBoMMk3tPbr/\n5Xf1Xy83qqm9V5NHFOnaueP14RmjlJft9zoeABwzSg2lBoNUTzCkx5Zt0d1167V2W5sChTn6xJxx\n+uTp41RRlOt1PACIG6WGUoNBzjmnF9c16+669frftTuU4/fp0lNG6dra8Zo8otjreAAQs1hLDdMD\nAxnKzDS3OqC51QGt29mu37+wXg8t3aQFSzaptjqgz9WO1/xJFfL5GHcDIDNwpgYYRFo7e/WHV9/V\nfS9u0LY93ZpQUaBr547XJTNGqSiPqRgApCcuP1FqgMPqC4X1xJtbdXfdeq3YtFuSFCjM1bjy/Mir\nrEBVgXxVluWrqrxAQ/OzuZMKgGcoNZQa4Kicc1q6oUWvNu7ShqZObdjVoQ3Nndq6u/uA/YryslRV\nXqDK8nxVRUtPpAAVaFhRLpewACQVY2oAHJWZaVZVmWZVlR2wvbsvpI27OtXY3KkNzZGis2FXp1Zu\n3q0nV25TKLz/P4bysn2qLIsUnHFl+RoXKNhXfEYNzVOWn2kcAKQGpQbAe+Rl+1UzvEg1w4ve81lf\nKKwtrV2RohMtPHvLz/Nv71RPMLxv3yyfaUzpkEjhKd9ffKoC+RpTms/zcwAkFKUGQFyy/b5oSSmQ\nVHHAZ+Gw0462HjU2d+w/w9Mcuaz1+oYWtfUE9+1rJo0szote0irY/14WGdfDwGUA8aLUAEgYn880\noiRPI0rydPqE8gM+c86ppbNPjc0dere584D3Z9ZsV1N77wH7lxfk7D+7c1DxKWXgMoBDoNQASAkz\nU1lBjsoKcjSzsvQ9n7d19+ndXZ37z+40d6ixuUOvvNOsPy/brP73NBTlZqmyPF9lBTkqystSYW6W\nCnOzVZSXtW+9KC9bhdHl4rysfcsFOVkMbAYyFKUGQFooysvWiaNKdOKokvd81t0X0qaWTjU2RQYs\nb2ju0Lu7OtXa2aetu7vV3h1UW3efOnpDR/0dM6kwJ1p+DipARbl7S1F0fd+29xakIdl+zhYBaYZS\nAyDt5WX7VT2sSNXD3jtwub9Q2KmjN6i27qDau4Nq7+nTnn3LkeLT3h1UW0//fYJq7ezVxpbOaDkK\nqqvv6OXI77PoGaKsA84QFeZl9ytD791WkJulnCyfsv0+5fh90WU7YBtnkoBjQ6kBkDH8PlNxXraK\nj3OQcTAUVkdPSHu6+9Tes78Qte0rR/sL0Z5oUWrvCaqpvVeNzZ1qi5456n8nWDyyfBYpOPuKTr/S\nc5RC9N79jnRsv+845LH7P8/y++SzyP/GPjP5fSa/GQUMaYVSAwAHyfL7VJLvU0n+8ZWj3mBYHdES\n1NYTKT8dvUH1Bp16Q2H1BcOR91BYvXuXg069oZD6Qq7ftoP3c+oLhtXVF9Ke7v3H9gYj+/Q/tvcY\ni1U8IkVH7yk7+wtQ5LN9n0f371+QfHuPObg4+Uxm793ui/5O5HPtW+6/PfKbkUuOPot8T2RZMu39\nzPZ93n997+e+vetmMkWO9fkiyxb9M/X/Tut3TP9jj/yb/b8/kj0ny6fcLF/03a+crEjJzM2Ovmf5\nuPx5CJQaAEiSnCyfcrJyVFqQ41kG55yCYXdAcYqUH7evBPUvRPu3uQO2BcNO4bBTyDmF+i3ve3eR\nW/pDB20PhSMZDtx+4L77Pz9we28w/J7vDh/0XWGnA7bv+zz6mYse77R/3Tkp7JycpIH8UP295eaQ\nBSjr4M/8h9w39+CylO1Tjv/Q++5dP3ibP43O1lFqACCDmZmy/ZHLWfnedau0tbfkOEWKTnjver8i\ntH/be4uS6/d5/2P3lqZwtLRFtkW/MxzZrn2/uf87JadgyO0rmj3Bve+hfes9/bYf/Nm+9VBYPX1h\ntfcE1dMX7vd9oQOOT4Ss6JmlcycP0y8+PjMh33nMWTz9dQAAPLT3UpAk+ZU+ZxxSwblDlacDi9KB\nRerg8nTgvhOHFXr9R6LUAAAwGJlZ9BKUX0e+r3DgYKY5AACQESg1AAAgI1BqAABARqDUAACAjECp\nAQAAGYFSAwAAMgKlBgAAZARKDQAAyAiUGgAAkBEoNQAAICNQagAAQEag1AAAgIxAqQEAABkhI2fp\nbmxs1KxZs7yOAQAAEmNmLDtlZKmpqqrSkiVLvI4BAAASwMxej2U/Lj8BAICMQKkBAAAZgVIDAAAy\nAqUGAABkBEoNAADICJQaAACQESg1AAAgI1BqAABARqDUAACAjECpAQAAGYFSAwAAMkJGzv0EAACS\nq7svpJbOXrV09Km1s1cFuVmaPnaop5k8LTVm9n5JP5Pkl/Q759wPDvrcop9fLKlT0mecczFNagUA\nAI6uLxTW7q5IMWnp7FNLR69a+623du5d7o0u96mls1c9wfAB33Pu5GG65zOnefSniPCs1JiZX9Iv\nJV0gaZOk18zsMefc6n67XSSpJvqaI+nX0XcAANBPOOzU1h1Ua1e0nHT2qjVaRFqixaR13/Y+tXb1\nqrWjT209wcN+Z5bPNDQ/R0Pzs1Wan62xZfk6eXS2Sgsi24YOyVFpfraG5udoZEleCv+0h8nr4W/P\nltTgnHtHkszsj5IukdS/1Fwi6T7nnJP0spkNNbORzrmtqY8LAEDyOefU1Rd6TxFp6ezT7s79hWX3\nAQUlsm/YHf57S4ZkR4pIfo7KC3NUPaxQJUOyVZqfo9KC7P3L0RIzND9bhblZilw0GRi8LDWjJW3s\nt75J7z0Lc6h9Rkui1AAAJEVKQDDs1BMMqzf66gmG1BsMqy/kFAo7BcNhBcNOwdD+5VDo4O1OofD+\nY/pC4eixkc9D4bD6wtHvO+DY6Pf13x79vr3LobCLHhvu91v7f6Mv+v39/xyHk5/jV2l+TqSEFGRr\n5NAhGhotJJEzKjn7ysvesyglQ7Ll9w2ccnKsMmagsJldJ+k6SSovL9e3v/1tbwMBQIYLh51Czu37\nhz8U3l8gQv3WD/78cNvec5w72nH7S0eq+Mzks+i7z/atm5n8e999Jtu7z979++174Htk37x+n/t9\nprxsv4Zk+5WX7VNetn/fem62T1k+n9StyKtlf7b26GtTyv7XSD8WubLjwQ+bnSHp286590XXb5Uk\n59z3++3zW0l/d879T3T9LUlnH+3y06xZs9ySJUuSlh0ABhrnnDp7Q2rrDqq9p09t3cHoclDt3UG1\n9QTV1t2n9ui2yHpQ7d19au8JqrM3FD0DEj0bEj3DkAg5WT7l+n2R96zIe2TZH1n2+5SbHXnvvz23\n//4H7OPftz3bb/L7fMrym7J8pqzost9nyvb5Iu/R9az++/l90W0W3eYbFGc60pWZLXXOzTrafl6e\nqXlNUo2ZjZe0WdLVkj5+0D6PSfpydLzNHEm7GU8DYDDZW0bae/aXkL3lY3/xiBSV9p6g9uxbj5aV\n7shA0I6e4BHHW+xVkONXYV6WCnOzVJiXreK8LA0vztt3liBSHvz9CsbhS0juIUrI/n33l5GBNGYD\n6c2zUuOcC5rZlyU9pcgt3fc451aZ2Rejn/9G0hOK3M7doMgt3Z/1Ki8AHI+27j41NnVqc2tXpGjs\nLR7RknLAWZP+5SXGMjIk26+ivCwV5mWpKDfyXlFYsK+gFEc/K8zNjuzTb7+ivMiA0MLcLM5GYEDz\ndEyNc+4JRYpL/22/6bfsJF2f6lwAcCw6eoJqbO5QY1OnGps7tL6pQ41NHWps7lBTe+8hj8nL9qkw\nN7tf6cjSuPJ8FeVlR0pKbta+srJ3uX8JKc7LVkGuX1l+HhAPZMxAYQBIha7ekDbsipSV9U2dkffm\nyPqOtp4D9h1WlKuqQIHOmzxcVYECjQ/ka0xpvkqGREtJXpayKSNAwlBqAOAg3X0hbdzVGTnT0ry/\nvDQ2d2jr7u4D9g0U5qiqvEBnTarQ+ECBqsoLVBXIV1V5gQpy+SsWSCX+HwdgUOoNhrWxJXqmJVpY\nGpsiRWbL7i71vzG0ND9bVYECnTGhXFWBgshZl/ICjQvkqzgv27s/BIADUGoAZKy+UFibWrr2nWWJ\nXCqKFJlNLZ0HDMAtzsvS+ECBZlWVqqp8TOSsS7S8lORTXICBgFIDYEALhZ02t3TtG9eyvl+B2dTS\ndcCD2Qpzs1QVyNe0MSW6ZMao6KWiAo0PFKg0P5tbi4EBjlIDYMB5c9Nu/fb5dVq9dY827upUX2h/\ncRmS7VdVoEBTRxXr4pNH7istVeUFChTmUFyADEapATBgNOxo0+1Pv60n3tymofnZmjO+TBdMHa7x\n/c64DCvKpbgAgxSlBkDa29TSqTueqdfDr2/SkGy//um8Gn1+3ngG6QI4AKUGQNra2dajXz7boPtf\n2SAz07Vzx+tLZ09UeWGu19EApCFKDYC0s7uzT3ctXqd76hrVGwrryllj9JVzazRq6BCvowFIY5Qa\nAGmjszeo37/QqN8+t057uoP60PRRuun8Gk2oKPQ6GoABgFIDwHO9wbD+59V39fP/bVBTe4/OnTxM\nt1w4SSeOKvE6GoABhFIDwDOhsNMjb2zWHc+8rU0tXZo9vky/+eRMzaoq8zoagAGIUgMg5ZxzemrV\nNv1k4dtq2NGuk0eX6P995GTNqwlwOzaAY0apAZAyzjktrm/Sj596S29u3q2JFQX69Sdm6v0njaDM\nADhulBoAKbF0Q4t+9ORavbJ+l0YPHaIfXz5NHzlltLL8Pq+jAcgQlBoASbVm6x7dtvAtPbNmhwKF\nOfr2h6bqY3MqlZvl9zoagAxDqQGQFOubOvTTp9/WX1ZsUVFulr72vhP02blVys/hrx0AycHfLgAS\nauvuLt25qEELlmxUjt+nL82fqC+cNVEl+UxpACC5KDUAEmJXR69+9WyD7nt5g5xz+uScSl1/brWG\nFeV5HQ3AIEGpAXBc2rr79LvF6/W7xe+oqy+ky2aO0Q3n1WhsWb7X0QAMMpQaAMekuy+k/3ppg371\n9wa1dPbpopNG6JYLJ6l6WJHX0QAMUpQaAHHpC4X14JJNunNRvbbt6dZZkyr01QsnadqYoV5HAzDI\nUWoAxCQcdvrLii26/em3taG5UzMrh+qOq2fo9AnlXkcDAEmUGgBH4ZzTojU79JOFb2nttjZNHlGk\nu6+ZpXMnD+MpwADSCqUGwGG9tK5ZP35qrV5/t1VV5fm682On6IMnj5TPR5kBkH4oNQDeY/nGVv1k\n4VtaXN+kEcV5+v5lJ+vyU8comykNAKQxSg2Afeq3t+m2hW/ryVXbVFaQo3/5wBR98vRxystmSgMA\n6Y9SA0Abd3Xqp8+8rT+/sVn5OVm66fxJura2SkV5PAUYwMBBqQEGqa7ekJ6v36mnVm7TX1Zskc9M\nn583QV+aP1GlBTlexwOAuFFqgEFkV0evFq3ZroWrt2tx/U5194VVMiRbV502Vl8+p0YjSpjSAMDA\nRakBMtzGXZ1auHq7Fq7aptcadynspFElebr6tEpdOHW4ThtfxgBgABmBUgNkGOecVm/do4WrImdk\n1mzdI0maPKJIXz6nWheeOEInjirmGTMAMg6lBsgAwVBYSza0RIvMNm1q6ZKZNGtcqb558RRdMHW4\nqgIFXscEgKSi1AADVFdvSIvrd2rh6u1atGa7Wjr7lJPl07zqgL5ybrXOmzJcgcJcr2MCQMpQaoAB\npKWjV4vW7tDCVdv0fHSgb3Fels6bMlwXTh2usyZVqCCX/1sDGJz42w9Icxt3derp1ZHLSq81tigU\ndhpZkqerZo3VhSeO0GwG+gKAJEoNkHacc1qztU0LV2/TwlXbtTo60HfS8EJ9af5EXXjicJ08uoSB\nvgBwEEoNkAaCobCWbmiJ3Hq9eps27ooM9D21slTfuHiyLpg6QuMZ6AsAR0SpATzS3RfS4vomLVy1\nTYvW7tCujl7l+H2qrQno+rMjA30rihjoCwCx8qTUmFmZpAckVUlqlHSlc67loH3GSrpP0nBJTtJd\nzrmfpTYpkFgtHb3637U7tHD1Nj3/dpO6+kIqysvSeZOH6cITR+isSRUqZKAvABwTr/72/LqkRc65\nH5jZ16Pr/3zQPkFJtzjnXjezIklLzexp59zqVIcFjsemluhA31Xb9WrjLoXCTiOK83T5qWP0vuhA\n35wsBvoCwPHyqtRcIuns6PK9kv6ug0qNc26rpK3R5TYzWyNptCRKDdKac05rt7XtexDeqi2Rgb41\nwwr1xfkTdOHUETp5dIl8Pgb6AkAieVVqhkdLiyRtU+QS02GZWZWkUyS9ktxYwLFr7ezVL59t0FOr\ntuvdXZ0yk2ZWlurWiybrgqnDNaGi0OuIAJDRklZqzOwZSSMO8dE3+68455yZuSN8T6GkP0m60Tm3\n5wj7XSfpOkmqrKw8pszAsXLO6aYHlmlxfZPm1QT0pbMn6rwpwzSsiFmvASBVklZqnHPnH+4zM9tu\nZiOdc1vNbKSkHYfZL1uRQnO/c+7ho/zeXZLukqRZs2YdtiQByfCHV9/Vs2/t1Lc+NFWfnTve6zgA\nMCh5NTrxMUnXRJevkfTowTtY5Mlid0ta45y7PYXZgLisb+rQd/+6RrXVAV1zRpXXcQBg0PKq1PxA\n0gVmVi/p/Oi6zGyUmT0R3WeupE9JOtfMlkVfF3sTFzi0YCismxcsU7bf9OMrpjH4FwA85MlAYedc\ns6TzDrF9i6SLo8t1kvgXAmnt139fpzfebdWdHztFI0uGeB0HAAY1Ho4BHKMVm1r1s0X1+vD0Ufrw\n9FFexwGAQY9SAxyDrt6QbnpgmQKFufr3S07yOg4AQMz9BByTHz65Vut2dui/PzdHJfnZXscBAIgz\nNUDcnn97p/7zxUZ9dm6VamsCXscBAERRaoA4tHb26msPLVf1sEL98/snex0HANAPpQaIkXNO3/zz\nSjW39+qOq2YoL9vvdSQAQD+UGiBGjy3fosdXbNVNF0zSSaNLvI4DADgIpQaIwZbWLv3Ln1fq1HGl\n+sJZE7yOAwA4hGMqNWb2eqKDAOkqHHb66oPLFQo73X7ldGX5+W8BAEhHx/S3s3NuZqKDAOnq9y82\n6sV1zfrXD07VuPICr+MAAA4jpufUmNkISbMlOUmvOee2JTUVkCbe3t6mHz65VudPGaarThvrdRwA\nwBEc9UyNmX1e0quSLpN0uaSXzezaZAcDvNYbDOvGPy5TUW6Wvn/ZNEUmjgcApKtYztR8TdIp0Uko\nZWblkl6UdE8ygwFeu+OZt7V66x7d9alTVVGU63UcAMBRxDKmpllSW7/1tug2IGO91rhLv3luna6c\nNUYXnjjC6zgAgBjEcqamQdIrZvaoImNqLpG0wsxuliTn3O1JzAekXHtPUDcvWKbRpUP0rx860es4\nAIAYxVJq1kVfez0afS9KfBzAe//+l9Xa1NKlBV84Q4W5zPkKAAPFUf/Gds59JxVBgHSwcNU2PbBk\no7509kSdVlXmdRwAQByOWmrMrELS/5F0oqS8vdudc+cmMReQcjvbenTrw29qyshi3XT+JK/jAADi\nFMtA4fslrZU0XtJ3JDVKei2JmYCUc87p1odXqK0nqDuumqGcLJ4aDAADTSx/c5c75+6W1Oece845\nd60kztIgozzw2kY9s2aH/s/7TtAJIxguBgADUSyjIPui71vN7AOStkhisAEyxobmDv3bX1frjAnl\nunbueK/jAACOUSyl5rtmViLpFkk/l1Qs6aakpgJSJBR2unnBcvl9pp9cOV0+H08NBoCBKpa7n/4a\nXdwt6ZzkxgFS6zfPrdPSDS2646oZGj10iNdxAADHgdGQGLRWbt6tnz79tj4wbaQumTHK6zgAgONE\nqcGg1N0X0k0PLFNZQY6+d+lJTFYJABmAx6ViUPrRk2+pfke77r12tobm53gdBwCQAMd0psbMZiY6\nCJAqLzQ06Z4X1uuaM8Zp/qQKr+MAABLkWC8/fSmhKYAU2d3Zp68+uFwTKgr09YumeB0HAJBAx3T5\nyTn3D4kOAqTCvz62UjvbevTwP56pITl+r+MAABLoqGdqzOwvZvZxMytIRSAgWR5bvkWPLtuifzqv\nRtPGDPU6DgAgwWK5/PQTSbWSVpvZQ2Z2uZnlHe0gIJ1s292tf3nkTc0YO1T/ePZEr+MAAJIglofv\nPSfpOTPzKzLn0z9IukeRJwsDaS8cdvraQ8vVF3L66VUzlOXnSQYAkIliGlNjZkMkfUjSVZJmSro3\nmaGARLrvpUYtrm/S9z5yksYHuIoKAJnqqKXGzBZImi3pSUm/kPSccy6c7GBAIjTsaNP3/7ZW55xQ\noY/PrvQ6DgAgiWI5U3O3pI8550LJDgMkUm8wrBsfWKb8HL9+ePk0nhoMABkulsEFiyXdamZ3SZKZ\n1ZjZB5MbCzh+P//feq3cvEffv+xkDStibDsAZLpYSs3vJfVKOjO6vlnSd5OWCEiApRta9MtnG3T5\nqWP0/pNGeh0HAJACsZSaic65H0nqkyTnXKckzuMjbXX0BHXzgmUaWTJE3/rQVK/jAABSJJYxNb3R\nu5+cJJnZREk9SU0FHIfvPr5G7+7q1B//4XQV5WV7HQcAkCKxlJpvKXLn01gzu1/SXEmfSWYo4Fgt\nWrNd//Pqu/rC/AmaM6Hc6zgAgBQ6YqmxyO0iayVdJul0RS473eCcazqeHzWzMkkPSKqS1CjpSudc\ny2H29UtaImmzc44Byjis5vYe/fOfVmjyiCLdfMEkr+MAAFLsiGNqnHNO0hPOuWbn3OPOub8eb6GJ\n+rqkRc65GkmLouuHc4OkNQn4TWQw55xuffhN7ekK6o6rZyg3i8kqAWCwiWWg8OtmdlqCf/cS7X8q\n8b2SLj3UTmY2RtIHJP0uwb+PDPPQ0k1auHq7vvq+SZo8ghk8AGAwimVMzRxJnzCzDZI6FLkE5Zxz\n047jd4c757ZGl7dJGn6Y/e6Q9H8kFR3tC83sOknXSfr/7d15lFzlfebx79MtqbWrtVloQSubMSAE\nLWjJmDGLNwWbmNjEOPhgHzvMTLxgx3FixzkTPHOSOIt9Yo8TJwSPTbzFGFuGCQSzxIQk3RIIIWEJ\ngaFaEggJoS7tey+/+aOuPG3o5fZSdWt5Puf0qarbt+s+0hHUr9/3d9+X+fO9cmwteXHvUb7wf5/m\n0kXT+PBli7OOY2ZmGUlT1LxtKG8s6SHgtF6+9fmeLyIiJEUvP38N8EpEPCHpzQNdLyJuA24DaGpq\nes37WXXq6g4+fedGAL50/VLq67zagJlZrUqzS/d2SRcBl1G4rfs/I2J9ip+7uq/vSdotaXZE7JI0\nG3ill9PeCLxL0ipgLDBZ0nci4saBrm214x/+vY3Htu3lS+9dyryp47OOY2ZmGRqwp0bS/6DQ9zId\nmAF8U9IfDfO69wA3Jc9vAu5+9QkR8bmImBcRC4H3Af/qgsZ6enrnQb70wLO847zTuO6iuVnHMTOz\njKWZfvotYGlEHAeQ9EVgA8PbKuGLwJ2SPgxsB65P3nsOcHtErBrGe1sNON7Rxad+sIHG8WP4k3ef\n780qzcwsVVGzk8L0z/HkdQOF/Z+GLCLywFW9HN8JvKagiYhHgEeGc02rLl964Fme3X2Ib35oOdMm\njMk6jpmZlYE0Rc0BYLOkByn01LwFeEzSVwEi4hNFzGf2Gi25dm7/j63c2DyfK85+XdZxzMysTKQp\nalYnX6c8UpwoZgM7eLyD37tzIwunT+APV70+6zhmZlZG0tz9dMdA55iVyq13b2b3oRPc9d9WMH5M\nmjfLBoIAAB9cSURBVJrczMxqRZoVhc3Kwr1P7eLHT77Ex644g2Xzp2Ydx8zMyoyLGqsIuw8e5/M/\n+TlL503hY1eekXUcMzMrQ4MqaiTVSfLGOlZSEcFn7nqK4x1dfPk3L2R0vWtxMzN7rTSL731P0mRJ\nE4BNwNOSPlP8aGYF31mznUd/sYfPr3o9S2ZOzDqOmZmVqTS/8p4bEQcp7KT9L8Ai4ANFTWWWyO05\nzJ/ct4XLz5rJjc0Lso5jZmZlLE1RM1rSaApFzT0R0UFhvRqzouro6uZ3f7CBsaPr+cv3XOBVg83M\nrF9pipq/B7YBE4BHJS0ADhYzlBnA1/71eTbuOMCfvvt8Zk0em3UcMzMrc2mKmr+JiLkRsSoiAngB\nuKLIuazGPfnCPr72s+e5btlcVp0/O+s4ZmZWAdIUNVsl3SbpKkmKgs6iJ7Oa1dUdfPrOjZw2eSy3\nXvuGrOOYmVmFSFPUnAM8BHyUQoHzNUmXFTeW1bJNLx2grf0In37rWUweOzrrOGZmViEGLGoi4mhE\n3BkR1wHLgMnAvxU9mdWs1rY8AG86c2bGSczMrJKkWsVM0n+R9LfAE8BY4PqiprKa1pLLc+brJjJz\nUkPWUczMrIIMuCOgpG3Ak8CdwGci4kixQ1ntOtnZzeNb93J907yso5iZWYVJs83xBcnie2ZF99SO\n/Rzr6GLFkhlZRzEzswqTpqfGBY2VTEsujwTNi6dlHcXMzCqMdwa0stKSa+fc2ZNpHD8m6yhmZlZh\nXNRY2Tje0cX6F/azcsn0rKOYmVkFStMo3AD8BrCw5/kR8T+LF8tq0frt+zjZ2c0KFzVmZjYEaRqF\n7wYOULid+0Rx41gta23LU18nli90P42ZmQ1emqJmXkS8vehJrOa15PJcMG8Kk7yKsJmZDUGanpoW\nSecXPYnVtCMnOtn44n5WLPbUk5mZDU2akZrLgA9K2kph+klARMQFRU1mNeXxbXvp7A5Wen0aMzMb\nojRFzTuKnsJqXmsuz5j6Oi5eMDXrKGZmVqH6LGokTU4W3jtUwjxWo1pyeS6c38i4MfVZRzEzswrV\n30jN94BrKNz1FBSmnU4JYHERc1kNOXC0g807D/CJq87MOoqZmVWwPouaiLgmeVxUujhWi9ZuzdMd\nuJ/GzMyGJU1PDZKmAmcCY08di4hHixXKaktLLs/Y0XUsPX1K1lHMzKyCpVlR+CPALcA8YAPQDLQC\nVxY3mtWKNW15li+cRsMo99OYmdnQpVmn5hZgObA9Iq4AlgH7i5rKakb74RM88/Ihb41gZmbDlqao\nOR4Rx6GwD1REPAOcXdxYVivWtOUBvOiemZkNW5qemh2SGoGfAA9K2gdsL24sqxWtuTwTG0Zx/lz3\n05iZ2fAMWNRExLuTp7dK+hkwBbi/qKmsZrTm8ly6aBqj6tMMGpqZmfUtTaNwzy2Tf548RnHiWC15\n+cBx2tqP8P5L52cdxczMqkCaX4/XA3uAXwDPJc+3SVov6eJihrPq1trWDuAmYTMzGxFpipoHgVUR\nMSMiplPYC+qfgd8B/raY4ay6tTyfp3H8aF5/2uSso5iZWRVIU9Q0R8RPT72IiAeAFRGxBmgoWjKr\nei25PM2LplNXp4FPNjMzG0CaomaXpD+QtCD5+n1gt6R6oHsoF5U0TdKDkp5LHnvdmllSo6S7JD0j\naYukFUO5npWfF/ce5aX9x1h5hqeezMxsZKQpat5PYTXhnwCrgdOTY/XA9UO87meBhyPiTODh5HVv\nvgLcHxHnAEuBLUO8npWZllzST+P1aczMbISkuaW7Hfh4H99+fojXvRZ4c/L8DuAR4A96niBpCnA5\n8MEkx0ng5BCvZ2WmJZdnxsQGznjdxKyjmJlZlchqcZBZEbEref4yMKuXcxZRuNPqm5KelHS7pAkl\nS2hFExG05vKsXDIdyf00ZmY2MopW1Eh6SNKmXr6u7XleRAS9r3szCrgI+HpELAOO0Pc0FZJulrRO\n0ro9e/aM5B/FRlhuzxFeOXTCt3KbmdmISrNNwpBExNV9fU/SbkmzI2KXpNnAK72ctgPYERFrk9d3\n0U9RExG3AbcBNDU1eXHAMtaa7Pe00kWNmZmNoAFHaiSdJelhSZuS1xdI+qNhXvce4Kbk+U3A3a8+\nISJeBl6UdGrzzKuAp4d5XSsDrbl25jaOY/608VlHMTOzKpJm+ukfgM8BHQAR8RTwvmFe94vAWyQ9\nB1ydvEbSHEn39Tjv48B3JT0FXAj86TCvaxnr7i700zQvdj+NmZmNrDTTT+Mj4rFXfQB1DueiEZGn\nMPLy6uM7gVU9Xm8AmoZzLSsvz+4+xL6jHZ56MjOzEZdmpKZd0hKSZl5J7wF29f8jZr1ryRX6adwk\nbGZmIy3NSM1HKTTgniPpJWArcGNRU1nVas21s3D6eOY0jss6ipmZVZk0i++1AVcna8TURcSh4sey\natTZ1c3atr1cs3RO1lHMzKwK9VnUSPrdPo4DEBFfLlImq1Kbdx7k0IlO99OYmVlR9DdSMyl5PBtY\nTuE2bIB3Ao8VM5RVp1P9NM3e78nMzIqgz6ImIr4AIOlR4KJT006SbgXuLUk6qyqtbXnOmjWRmZMa\nso5iZmZVKM3dT7P41Y0kT9L7Xk1mfTrZ2c3jW/eycsmMrKOYmVmVSnP30z8Cj0lanbz+dQo7a5ul\ntnHHfo51dHnqyczMiibN3U9/IulfgDclhz4UEU8WN5ZVm9ZcHgmaF0/LOoqZmVWpAYsaSfOBdmB1\nz2MR8UIxg1l1acm1c+7syTSOH5N1FDMzq1Jppp/uJVlNGBgHLAKeBd5QrFBWXY53dLF++35uWrkg\n6yhmZlbF0kw/nd/ztaSLgN8pWiKrOuu37+NkV7ebhM3MrKjS3P30KyJiPXBpEbJYlWrJ5amvE8sX\nuZ/GzMyKJ01PTc+VheuAi4CdRUtkVacl184F86YwsSHNbKeZmdnQpBmpmdTjq4FCj821xQxl1ePw\niU6e2nHAWyOYmVnRpfnV+emI+GHPA5LeC/ywj/PNfunxbXvp7A5WLHY/jZmZFVeakZrPpTxm9hqt\nuTxj6uu4eMHUrKOYmVmV62+X7ncAq4C5kr7a41uTgc5iB7Pq0JrLs2x+I+PG1GcdxczMqlx/IzU7\ngXXAceCJHl/3AG8rfjSrdAeOdrBp5wFWuJ/GzMxKoL9dujcCGyV9NyI8MmODtnZrngi8Po2ZmZVE\nf9NPd0bE9cCTkuLV34+IC4qazCpeSy7P2NF1XHh6Y9ZRzMysBvR399MtyeM1pQhi1ac1l2f5wmmM\nGTXoNR7NzMwGrb/pp13J4/bSxbFq0X74BM/uPsS1y+ZkHcXMzGrEgL9CS7pO0nOSDkg6KOmQpIOl\nCGeVa01bHnA/jZmZlU6axff+AnhnRGwpdhirHi25PBMbRnHenMlZRzEzsxqRptlhtwsaG6w1uTyX\nLprGqHr305iZWWmkGalZJ+kHwE+AE6cORsSPi5bKKtquA8doaz/C+y+dn3UUMzOrIWmKmsnAUeCt\nPY4F4KLGetWaK/TTeNE9MzMrpQGLmoj4UCmCWPVozeVpHD+a15/mfhozMyudAYuaV+37dMoBYF1E\n3D3ykaySRQQtuTzNi6ZTV6es45iZWQ1J08U5FrgQeC75ugCYB3xY0l8XMZtVoBf3HuOl/cdYeYan\nnszMrLTS9NRcALwxIroAJH0d+HfgMuDnRcxmFai1rR2Ale6nMTOzEkszUjMVmNjj9QRgWlLknOj9\nR6xWteTyzJzUwJKZEwc+2czMbASlXXxvg6RHAAGXA38qaQLwUBGzWYU51U+zYvF0JPfTmJlZaaW5\n++kbku4DLkkO/WFE7Eyef6Zoyazi5PYcYc+hE556MjOzTKRd7vU4sAvYB5wh6fLiRbJK1Zor9NN4\nfRozM8tCmlu6PwLcQuGOpw1AM9AKXFncaFZpWnJ55jaOY/608VlHMTOzGpRmpOYWYDmwPSKuAJYB\n+4uayipOd3ewpi3PiiXupzEzs2ykKWqOR8RxAEkNEfEMcHZxY1mleeblQ+w72sGKxZ56MjOzbKS5\n+2mHpEYKG1o+KGkfsL24sazStLifxszMMpbm7qd3J09vlfQzYApw/3AuKmka8ANgIbANuD4i9vVy\n3qeAj1DYQPPnwIdOjRpZeVnTlmfRjAnMaRyXdRQzM6tRqe5+kjRV0gXAIWAHcN4wr/tZ4OGIOBN4\nOHn96mvOBT4BNEXEeUA98L5hXteKoLOrm7Vte2n21JOZmWUozd1P/wv4INAGdCeHg+Hd/XQt8Obk\n+R3AI8Af9JFvnKQOYDyws5dzLGObdx7k0IlOr09jZmaZStNTcz2wJCJOjuB1Z0XEruT5y8CsV58Q\nES9J+ivgBeAY8EBEPDCCGWyEtOTyAB6pMTOzTKWZftoENA72jSU9JGlTL1/X9jwvIoLCyM+rf34q\nhRGdRcAcYIKkG/u53s2S1klat2fPnsHGtWFoybVz1qyJzJzUkHUUMzOrYWlGav4MeFLSJnpsYBkR\n7+rvhyLi6r6+J2m3pNkRsUvSbOCVXk67GtgaEXuSn/kxsBL4Th/Xuw24DaCpqek1RZIVx8nObtZt\n28dvLj896yhmZlbj0hQ1dwB/TuHuo+4Bzk3rHuAm4IvJ4929nPMC0CxpPIXpp6uAdSN0fRshG3fs\n51hHl2/lNjOzzKUpao5GxFdH+LpfBO6U9GEKa95cDyBpDnB7RKyKiLWS7gLWA53AkyQjMVY+Wp7P\nI0HzIhc1ZmaWrTRFzb9L+jMKoys9p5/WD/WiEZGnMPLy6uM7gVU9Xv8x8MdDvY4VX2tbO2+YM5kp\n40dnHcXMzGpcmqJmWfLY3OPYcG/ptipwvKOL9dv3c9PKBVlHMTMzS7Wi8BWlCGKV54nt+zjZ1c3K\nJTOyjmJmZpZuRWGz3rTm8tTXieWLpmUdxczMzEWNDV1Lrp0L5k1hYkOaWUwzM7PiclFjQ3L4RCcb\ndxzw1ghmZlY2Uv2KLWklhR21f3l+RPxjkTJZBXh82166usP9NGZmVjbSbGj5bWAJsAHoSg4H4KKm\nhrXm8oypr+PiBVOzjmJmZgakG6lpAs5N9mgyAwr9NMvmNzJ2dH3WUczMzID0G1qeVuwgVjkOHO1g\n886DnnoyM7OykmakZgbwtKTHGMSGlla91mzNE4H3ezIzs7KSpqi5tdghrLK05vKMHV3Hhac3Zh3F\nzMzsl9KsKPxvpQhilaM1l2f5wmmMGeUVAczMrHwM+KkkqVnS45IOSzopqUvSwVKEs/Kz59AJnt19\nyFNPZmZWdtL8qv014AbgOWAc8BHgb4oZysrXmrY8gJuEzcys7KSaP4iI54H6iOiKiG8Cby9uLCtX\nrW15JjWM4rw5k7OOYmZm9ivSNAoflTQG2CDpL4BdeHuFmtWay3PJommMqvc/ATMzKy9pPpk+kJz3\nMeAIcDrwG8UMZeVp14FjbG0/4n4aMzMrS2nuftouaRwwOyK+UIJMVqZac+6nMTOz8pXm7qd3Utj3\n6f7k9YWS7il2MCs/Lbk8U8eP5pzTJmUdxczM7DXSTD/dClwC7AeIiA3AoiJmsjIUEbTm8jQvnk5d\nnbKOY2Zm9hppipqOiDjwqmPe3LLGvLj3GC/tP+Z+GjMzK1tp7n7aLOn9QL2kM4FPAC3FjWXlpiXX\nDsBKFzVmZlam0ozUfBx4A4XNLL8PHAQ+WcxQVn5a2/LMnNTAkpkTs45iZmbWqzR3Px0FPp98WQ2K\nCFpyeVYsno7kfhozMytPfRY1A93hFBHvGvk4Vo5yew6z59AJTz2ZmVlZ62+kZgXwIoUpp7WAf0Wv\nUV6fxszMKkF/Rc1pwFsobGb5fuBe4PsRsbkUwax8tOTyzG0cx+nTxmUdxczMrE99Ngonm1feHxE3\nAc3A88Ajkj5WsnSWue7uoLUtz4ol7qcxM7Py1m+jsKQG4NcojNYsBL4KrC5+LCsXz7x8iP1HO9xP\nY2ZmZa+/RuF/BM4D7gO+EBGbSpbKysap9Wm86J6ZmZW7/kZqbqSwK/ctwCd6TD0IiIiYXORsVgZa\nc3kWzZjA7CnupzEzs/LWZ1ETEWkW5rMq1tnVzWNb9/LOC+dkHcXMzGxALlysT5t2HuTQiU5WLPbU\nk5mZlT8XNdanU/00zS5qzMysAriosT615vKcPWsSMyc1ZB3FzMxsQC5qrFcnO7tZt22f73oyM7OK\n4aLGerVxx36OdXS5qDEzs4rhosZ61fJ8HgmaF7moMTOzyuCixnrVkmvnDXMmM2X86KyjmJmZpeKi\nxl7jeEcXT76w37tym5lZRcmkqJH0XkmbJXVLaurnvLdLelbS85I+W8qMteyJ7fs42dXt9WnMzKyi\nZDVSswm4Dni0rxMk1QN/A7wDOBe4QdK5pYlX21py7dTXieWLpmUdxczMLLV+d+kulojYAtBjP6ne\nXAI8HxFtybn/BFwLPF30gDWuNZdn6bwpTGzI5J+HmZnZkJRzT81c4MUer3ckx6yIDp/oZOOOA76V\n28zMKk7RfhWX9BBwWi/f+nxE3F2E690M3Awwf/78kX77mvH41r10dYebhM3MrOIUraiJiKuH+RYv\nAaf3eD0vOdbX9W4DbgNoamqKYV67ZrW25RlTX8fFC6ZmHcXMzGxQynn66XHgTEmLJI0B3gfck3Gm\nqteSa2fZ/EbGjq7POoqZmdmgZHVL97sl7QBWAPdK+mlyfI6k+wAiohP4GPBTYAtwZ0RsziJvrdh/\n9CSbdx701JOZmVWkrO5+Wg2s7uX4TmBVj9f3AfeVMFpNW7t1LxGw8gw3CZuZWeUp5+knK7HWXJ5x\no+tZOq8x6yhmZmaD5qLGfqkl107TwqmMGeV/FmZmVnn86WUA7Dl0gl/sPux+GjMzq1guagyANW15\nAC+6Z2ZmFctFjQHQksszqWEU582ZnHUUMzOzIXFRY0BhpObSxdMYVe9/EmZmVpn8CWbs3H+Mre1H\naF7sqSczM6tcLmqM1lyhn8ZNwmZmVslc1BitbXmmjh/NOadNyjqKmZnZkLmoqXERQWsuT/Pi6dTV\nKes4ZmZmQ+aipsa9uPcYL+0/xkrfym1mZhXORU2Na8m1A16fxszMKp+LmhrXksszc1IDS2ZOzDqK\nmZnZsLioqWERQWtbnpVLpiO5n8bMzCqbi5oalttzmD2HTrDC69OYmVkVcFFTw1q8Po2ZmVURFzU1\nrDWXZ27jOE6fNi7rKGZmZsPmoqZGdXcX+mlWuJ/GzMyqhIuaGrXl5YPsP9rh9WnMzKxquKipUaf2\ne/L6NGZmVi1c1NSo1lyeRTMmMHuK+2nMzKw6uKipQZ1d3azdutejNGZmVlVc1NSgTTsPcvhEp/tp\nzMysqrioqUGn9ntq9qJ7ZmZWRVzU1KDWXJ6zZ01ixsSGrKOYmZmNGBc1NeZkZzePb3M/jZmZVR8X\nNTVmw4v7Od7R7aLGzMyqjouaGtOSa0eC5kUuaszMrLq4qKkxrbk8582ZwpTxo7OOYmZmNqJc1NSQ\nYye7ePKF/Z56MjOzquSipoY8sX0fJ7vcT2NmZtXJRU0NaW1rp75OLF84LesoZmZmI85FTQ1pyeVZ\nOm8KExtGZR3FzMxsxLmoqRGHT3Ty1I4DrFwyI+soZmZmReGipkY8vnUvXd3hfhozM6taLmpqREuu\nnTH1dVy8YGrWUczMzIrCRU2NaG3Lc9GCRsaOrs86ipmZWVG4qKkB+4+eZPPOg6xY7H4aMzOrXi5q\nasCatr1EwMoz3E9jZmbVK5OiRtJ7JW2W1C2pqY9zTpf0M0lPJ+feUuqc1WJNW55xo+tZOq8x6yhm\nZmZFk9VIzSbgOuDRfs7pBD4dEecCzcBHJZ1binDVpiXXTtPCqYwZ5YE5MzOrXpl8ykXEloh4doBz\ndkXE+uT5IWALMLcU+arJnkMn+MXuw16fxszMql5F/OouaSGwDFibbZLKs6YtD8BKr09jZmZVrmjr\n5Ut6CDitl299PiLuHsT7TAR+BHwyIg72c97NwM0A8+fPH2Ta6tWSyzOpYRRvmDM56yhmZmZFVbSi\nJiKuHu57SBpNoaD5bkT8eIDr3QbcBtDU1BTDvXa1eN2kBq5dNodR9RUxKGdmZjZkZbuzoSQB3wC2\nRMSXs85TqT71lrOyjmBmZlYSWd3S/W5JO4AVwL2SfpocnyPpvuS0NwIfAK6UtCH5WpVFXjMzMyt/\nmYzURMRqYHUvx3cCq5Ln/wGoxNHMzMysQrnRwszMzKqCixozMzOrCi5qzMzMrCq4qDEzM7Oq4KLG\nzMzMqoKLGjMzM6sKLmrMzMysKrioMTMzs6rgosbMzMyqgosaMzMzqwouaszMzKwqKCKyzjDiJO0B\nthfhrWcA7UV432Jz7tKpxMzg3KVUiZnBuUupEjNDcXMviIiZA51UlUVNsUhaFxFNWecYLOcunUrM\nDM5dSpWYGZy7lCoxM5RHbk8/mZmZWVVwUWNmZmZVwUXN4NyWdYAhcu7SqcTM4NylVImZwblLqRIz\nQxnkdk+NmZmZVQWP1JiZmVlVcFGTgqT/I+kVSZuyzjIYkk6X9DNJT0vaLOmWrDMNRNJYSY9J2phk\n/kLWmQZDUr2kJyX9c9ZZ0pK0TdLPJW2QtC7rPGlIapR0l6RnJG2RtCLrTAORdHbyd3zq66CkT2ad\nayCSPpX8t7hJ0vcljc06UxqSbkkyby7nv+fePl8kTZP0oKTnksepWWbsTR+535v8fXdLyuQuKBc1\n6XwLeHvWIYagE/h0RJwLNAMflXRuxpkGcgK4MiKWAhcCb5fUnHGmwbgF2JJ1iCG4IiIuzPp2zEH4\nCnB/RJwDLKUC/s4j4tnk7/hC4GLgKLA641j9kjQX+ATQFBHnAfXA+7JNNTBJ5wG/DVxC4d/HNZLO\nyDZVn77Faz9fPgs8HBFnAg8nr8vNt3ht7k3AdcCjJU+TcFGTQkQ8CuzNOsdgRcSuiFifPD9E4X/8\nc7NN1b8oOJy8HJ18VUTjl6R5wK8Bt2edpZpJmgJcDnwDICJORsT+bFMN2lVALiKKsUjoSBsFjJM0\nChgP7Mw4TxqvB9ZGxNGI6AT+jcKHbdnp4/PlWuCO5PkdwK+XNFQKveWOiC0R8WxGkQAXNTVD0kJg\nGbA22yQDS6ZwNgCvAA9GRNlnTvw18PtAd9ZBBimAhyQ9IenmrMOksAjYA3wzmeq7XdKErEMN0vuA\n72cdYiAR8RLwV8ALwC7gQEQ8kG2qVDYBb5I0XdJ4YBVwesaZBmNWROxKnr8MzMoyTCVxUVMDJE0E\nfgR8MiIOZp1nIBHRlQzRzwMuSYaSy5qka4BXIuKJrLMMwWXJ3/c7KExRXp51oAGMAi4Cvh4Ry4Aj\nlOfwfK8kjQHeBfww6ywDSXo5rqVQSM4BJki6MdtUA4uILcCfAw8A9wMbgK5MQw1RFG5RrojR6nLg\noqbKSRpNoaD5bkT8OOs8g5FMKfyMyuhneiPwLknbgH8CrpT0nWwjpZP8Nk5EvEKhx+OSbBMNaAew\no8cI3l0UipxK8Q5gfUTszjpIClcDWyNiT0R0AD8GVmacKZWI+EZEXBwRlwP7gF9knWkQdkuaDZA8\nvpJxnorhoqaKSRKFvoMtEfHlrPOkIWmmpMbk+TjgLcAz2aYaWER8LiLmRcRCClML/xoRZf8braQJ\nkiadeg68lcLQfdmKiJeBFyWdnRy6Cng6w0iDdQMVMPWUeAFoljQ++f/JVVRAUzaApNclj/Mp9NN8\nL9tEg3IPcFPy/Cbg7gyzVJRRWQeoBJK+D7wZmCFpB/DHEfGNbFOl8kbgA8DPkx4VgD+MiPsyzDSQ\n2cAdkuopFN13RkTF3B5dgWYBqwufV4wCvhcR92cbKZWPA99NpnLagA9lnCeVpHB8C/Bfs86SRkSs\nlXQXsJ7C3ZRPUgarxqb0I0nTgQ7go+XaTN7b5wvwReBOSR8GtgPXZ5ewd33k3gv8b2AmcK+kDRHx\ntpLm8orCZmZmVg08/WRmZmZVwUWNmZmZVQUXNWZmZlYVXNSYmZlZVXBRY2ZmZlXBRY2ZlYykX5cU\nks4Zwff8oKQ5I/V+Zla5XNSYWSndAPxH8jhsyXpGH6SwhP9gfs5rdJlVIRc1ZlYSyR5klwEfprDq\nMpLeLOlRSfdKelbS30mqS773VkmtktZL+mHy80jaJunPJa2nUBw1UViIb4Okccn3ZyTnNkl6JHl+\nq6RvS/pP4NvJxql/KelxSU9JqogF8cysby5qzKxUrgXuj4hfAHlJFyfHL6GwQvC5wBLguqQo+SPg\n6oi4CFgH/G6P98pHxEUR8Z3ke78VERdGxLEBMpybvOcNFIqrAxGxHFgO/LakRSPzRzWzLHgI1sxK\n5QbgK8nzf0pe/zPwWES0wS+XXr8MOE6hAPnPZAuHMUBrj/f6wRAz3NOj8HkrcIGk9ySvpwBnAluH\n+N5mljEXNWZWdJKmAVcC50sKoB4I4N7ksacABDyYjKj05kg/l+vk/49Cj+3n5wR8PCJ+OvCfwMwq\ngaefzKwU3gN8OyIWRMTCiDidwojIm4BLJC1Keml+k0Ij8RrgjZLOgF/uJn5WH+99CJjU4/U24NTU\n1m/0k+mnwH+XNDq5xlnJhpNmVqFc1JhZKdwArH7VsR8lxx8HvgZsoVDorI6IPRTuavq+pKcoTD31\ndRv4t4C/O9UoDHwB+IqkdUBXP5luB54G1kvaBPw9Hr02q2jepdvMMiPpzcDvRcQ1WWcxs8rnkRoz\nMzOrCh6pMTMzs6rgkRozMzOrCi5qzMzMrCq4qDEzM7Oq4KLGzMzMqoKLGjMzM6sKLmrMzMysKvw/\n2MzyT6sWomcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f16a3718860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 10 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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c8p4PpLsoKZXvcXJYvQKMiOyfviFEskQ0GuXRdfew/O0nUFE11nRms4PLaTi8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\nECMiIiJZSSFGREREstL/B2FY6hDJ/8b1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627ae8240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], stellarities['i'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use magnitudes between 15.0 and 16.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for i band:\n",
      "Correction: -0.2617053985595703\n",
      "Number of source used: 9658\n",
      "RMS: 0.05830405422460197\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['i'], num, std = aperture_correction(\n",
    "    orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], \n",
    "    stellarities['i'],\n",
    "    mag_min=15.0, mag_max=16.0)\n",
    "print(\"Aperture correction for i band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['i']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.b - z band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AgIyRyJma7wxyHVKorqZCnb0RLVm30+soAABklME8pfs8SedLGmdmt/XZVCIpnKpgGNgp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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627c6f6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 57 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dotn86Bf3UFRSyiXnn8XTqxX0+tJ8MDmCdOPmZp5+pYXNu1rZ2dLBwY5YVgQW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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627a7b6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], stellarities['z'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use magnitudes between 15.0 and 16.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for z band:\n",
      "Correction: -0.25720882415771484\n",
      "Number of source used: 21509\n",
      "RMS: 0.04975790000653155\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['z'], num, std = aperture_correction(\n",
    "    orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], \n",
    "    stellarities['z'],\n",
    "    mag_min=15.0, mag_max=16.0)\n",
    "print(\"Aperture correction for z band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['z']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.b - y band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KDRKGz2e6/VPTlZ7i0zcfWKq2YMjrSACAfoRSg4RSkpuuWy6ZptU7GvXZe9/U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\nBBc1ZmZmVhNc1JiZmVlN+P8CgymGBZWe8wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f16279c5be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 10 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+9f/+m3/96cOcfvb5uW6aiBQQBScZlKpLZ+OLzxMKBli0JHddOsfi8ZTwgU98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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1627879908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], stellarities['y'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "We use magnitudes between 15.0 and 16.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for y band:\n",
      "Correction: -0.40020275115966797\n",
      "Number of source used: 17480\n",
      "RMS: 0.10348509881891124\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['y'], num, std = aperture_correction(\n",
    "    orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], \n",
    "    stellarities['y'],\n",
    "    mag_min=15.0, mag_max=16.0)\n",
    "print(\"Aperture correction for y band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['y']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "imported_columns = OrderedDict({\n",
    "        'COADD_OBJECT_ID': \"des_id\",\n",
    "        'RA': \"des_ra\",\n",
    "        'DEC': \"des_dec\",\n",
    "        'CLASS_STAR_G':  \"des_stellarity\",\n",
    "    \n",
    "        'MAG_AUTO_G': \"m_decam_g\", \n",
    "        'MAGERR_AUTO_G': \"merr_decam_g\", \n",
    "        'MAG_APER_4_G': \"m_ap_decam_g\", \n",
    "        'MAGERR_APER_4_G': \"merr_ap_decam_g\",\n",
    "    \n",
    "        'MAG_AUTO_R': \"m_decam_r\", \n",
    "        'MAGERR_AUTO_R': \"merr_decam_r\", \n",
    "        'MAG_APER_4_R': \"m_ap_decam_r\", \n",
    "        'MAGERR_APER_4_R': \"merr_ap_decam_r\",\n",
    "    \n",
    "        'MAG_AUTO_I': \"m_decam_i\", \n",
    "        'MAGERR_AUTO_I': \"merr_decam_i\", \n",
    "        'MAG_APER_4_I': \"m_ap_decam_i\", \n",
    "        'MAGERR_APER_4_I': \"merr_ap_decam_i\",\n",
    "    \n",
    "        'MAG_AUTO_Z': \"m_decam_z\", \n",
    "        'MAGERR_AUTO_Z': \"merr_decam_z\", \n",
    "        'MAG_APER_4_Z': \"m_ap_decam_z\", \n",
    "        'MAGERR_APER_4_Z': \"merr_ap_decam_z\",\n",
    "    \n",
    "        'MAG_AUTO_Y': \"m_decam_y\", \n",
    "        'MAGERR_AUTO_Y': \"merr_decam_y\", \n",
    "        'MAG_APER_4_Y': \"m_ap_decam_y\", \n",
    "        'MAGERR_APER_4_Y': \"merr_ap_decam_y\",\n",
    "\n",
    "    })\n",
    "\n",
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_Herschel-Stripe-82.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "epoch = 2017\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Aperture correction\n",
    "for band in bands:\n",
    "    catalogue[\"m_ap_decam_{}\".format(band)] += mag_corr[band]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "  ma.MaskedArray.__setitem__(self, index, value)\n"
     ]
    }
   ],
   "source": [
    "# Adding flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "\n",
    "            \n",
    "    if col.startswith('m_'):\n",
    "        \n",
    "        errcol = \"merr{}\".format(col[1:])\n",
    "        \n",
    "        # Some objects have -99.0 values\n",
    "        mask = (catalogue[col] > 50.) | (catalogue[col] < 0.)\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask] = np.nan\n",
    "        \n",
    "        flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n",
    "            \n",
    "        # Fluxes are added in µJy\n",
    "        catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n",
    "        catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n",
    "        \n",
    "        # Band-flag column\n",
    "        if 'ap' not in col:\n",
    "            catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n",
    "        \n",
    "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting.            \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table masked=True length=10&gt;\n",
       "<table id=\"table139733130210832-467339\" 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>294615959</td><td>17.206411</td><td>-1.790009</td><td>0.0486818030477</td><td>21.9825210571</td><td>0.0598054602742</td><td>22.4215922356</td><td>0.0498426668346</td><td>20.3182582855</td><td>0.0157591700554</td><td>20.830268383</td><td>0.0114914784208</td><td>19.7546195984</td><td>0.0154223395512</td><td>20.30169487</td><td>0.0106950243935</td><td>19.4345817566</td><td>0.0185157228261</td><td>19.901143074</td><td>0.0117124635726</td><td>19.2958755493</td><td>0.0471874438226</td><td>19.9341993332</td><td>0.0392347797751</td><td>5.84778742641</td><td>0.322112882567</td><td>False</td><td>3.90268146459</td><td>0.179159588811</td><td>27.0829947651</td><td>0.393102411288</td><td>False</td><td>16.9002312336</td><td>0.178872770085</td><td>45.5147498984</td><td>0.64651424945</td><td>False</td><td>27.4993261561</td><td>0.270881603427</td><td>61.1177415137</td><td>1.04227818568</td><td>False</td><td>39.7688259861</td><td>0.429009296777</td><td>69.4464068453</td><td>3.01822708622</td><td>False</td><td>38.57627302</td><td>1.39401409832</td></tr>\n",
       "<tr><td>1</td><td>204763961</td><td>7.148192</td><td>2.548968</td><td>0.659627377987</td><td>24.2362747192</td><td>0.209176972508</td><td>24.2666373253</td><td>0.154890477657</td><td>22.9519882202</td><td>0.101010508835</td><td>23.2407393456</td><td>0.0740865543485</td><td>22.4633026123</td><td>0.113034904003</td><td>22.8723659515</td><td>0.0874388217926</td><td>22.323009491</td><td>0.181044667959</td><td>22.6159486771</td><td>0.125064238906</td><td>21.7843570709</td><td>0.38610163331</td><td>22.2965650558</td><td>0.372119307518</td><td>0.733652010982</td><td>0.14134474457</td><td>False</td><td>0.713419654556</td><td>0.101776021266</td><td>2.39444415144</td><td>0.222764996741</td><td>False</td><td>1.83528815547</td><td>0.125233159841</td><td>3.75559675448</td><td>0.390991399897</td><td>False</td><td>2.57663925748</td><td>0.207507403614</td><td>4.27362295692</td><td>0.712619369076</td><td>False</td><td>3.26302596158</td><td>0.375862807768</td><td>7.01870794891</td><td>2.49594200776</td><td>False</td><td>4.37899024438</td><td>1.50083124264</td></tr>\n",
       "<tr><td>2</td><td>204098706</td><td>7.071118</td><td>2.921076</td><td>0.359675824642</td><td>24.5509281158</td><td>0.202617928386</td><td>24.3196177483</td><td>0.169420555234</td><td>24.0277175903</td><td>0.193998381495</td><td>23.9769148827</td><td>0.148950457573</td><td>23.9945392609</td><td>0.335064381361</td><td>23.6880989075</td><td>0.192172825336</td><td>23.591003418</td><td>0.400914371014</td><td>23.7934083939</td><td>0.365695029497</td><td>22.3250770569</td><td>0.45332929492</td><td>22.6270551682</td><td>0.517029762268</td><td>0.5490713126</td><td>0.102466594931</td><td>False</td><td>0.679442799808</td><td>0.106021679934</td><td>0.889022932605</td><td>0.158849828607</td><td>False</td><td>0.931609796827</td><td>0.127806095909</td><td>0.916609376682</td><td>0.282870878213</td><td>False</td><td>1.21551532022</td><td>0.215143431988</td><td>1.32922540382</td><td>0.49082416555</td><td>False</td><td>1.10315526597</td><td>0.371562075355</td><td>4.26549244668</td><td>1.78097835816</td><td>False</td><td>3.22981712378</td><td>1.53804540399</td></tr>\n",
       "<tr><td>3</td><td>204753147</td><td>7.483362</td><td>2.8131</td><td>0.536419868469</td><td>24.2558517456</td><td>0.451927453279</td><td>23.9477286339</td><td>0.314690977335</td><td>22.9377307892</td><td>0.174161836505</td><td>22.7194228172</td><td>0.102683089674</td><td>22.2448101044</td><td>0.155165240169</td><td>22.4360141754</td><td>0.125879734755</td><td>22.207906723</td><td>0.261346191168</td><td>22.1644582748</td><td>0.16962762177</td><td>22.0523815155</td><td>0.928259193897</td><td>21.8312940598</td><td>0.583313703537</td><td>0.720542001795</td><td>0.299918811241</td><td>False</td><td>0.956992526985</td><td>0.277375767981</td><td>2.42609433827</td><td>0.389167316734</td><td>False</td><td>2.96640792766</td><td>0.280546904404</td><td>4.59278333749</td><td>0.656365999844</td><td>False</td><td>3.85118454274</td><td>0.446504488481</td><td>4.75157195983</td><td>1.14374488786</td><td>False</td><td>4.94557383514</td><td>0.772660913641</td><td>5.48336800694</td><td>4.68805106034</td><td>False</td><td>6.72175031337</td><td>3.61127228913</td></tr>\n",
       "<tr><td>4</td><td>203493916</td><td>7.419856</td><td>5.157514</td><td>0.205930918455</td><td>23.2421474457</td><td>0.264461874962</td><td>23.0285639763</td><td>0.132431611419</td><td>22.3503742218</td><td>0.153500437737</td><td>22.5588183403</td><td>0.088203266263</td><td>22.5336036682</td><td>0.307916283607</td><td>22.2041015625</td><td>0.101736098528</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>1.8329094981</td><td>0.446457141595</td><td>False</td><td>2.23138448714</td><td>0.272170939895</td><td>4.16725725435</td><td>0.589163196272</td><td>False</td><td>3.43932062328</td><td>0.279404252496</td><td>3.52012862409</td><td>0.998313327861</td><td>False</td><td>4.76825392567</td><td>0.44679688221</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td></tr>\n",
       "<tr><td>5</td><td>294704462</td><td>16.950548</td><td>-0.665332</td><td>0.308066487312</td><td>25.1424922943</td><td>0.593947887421</td><td>25.5791068077</td><td>0.629745543003</td><td>23.8180828094</td><td>0.310975283384</td><td>23.7617487907</td><td>0.163296401501</td><td>22.1421642303</td><td>0.104961380363</td><td>22.2342967987</td><td>0.0600906461477</td><td>21.5450897217</td><td>0.116297535598</td><td>21.5907392502</td><td>0.0629905313253</td><td>21.1893539429</td><td>0.19284145534</td><td>21.4264307022</td><td>0.142302632332</td><td>0.31842201207</td><td>0.17419155827</td><td>False</td><td>0.212989050225</td><td>0.123537286958</td><td>1.07836771271</td><td>0.30886480858</td><td>False</td><td>1.13579638924</td><td>0.170825530537</td><td>5.04817390869</td><td>0.488022135989</td><td>False</td><td>4.63747178705</td><td>0.256663335859</td><td>8.74911472425</td><td>0.937152575955</td><td>False</td><td>8.38888614092</td><td>0.486693169969</td><td>12.1411108096</td><td>2.15642572082</td><td>False</td><td>9.75950338682</td><td>1.2791348544</td></tr>\n",
       "<tr><td>6</td><td>294701313</td><td>16.938334</td><td>-0.587062</td><td>0.391461104155</td><td>25.4668731689</td><td>0.587247490883</td><td>24.6975131035</td><td>0.280815690756</td><td>24.2406978607</td><td>0.313560634851</td><td>23.9807600975</td><td>0.198358565569</td><td>23.2746715546</td><td>0.20297165215</td><td>23.3536777496</td><td>0.166114404798</td><td>23.3673458099</td><td>0.42700278759</td><td>23.7295331955</td><td>0.451709955931</td><td>22.48802948</td><td>0.4353094697</td><td>22.4628324509</td><td>0.367465227842</td><td>0.2361841408</td><td>0.127746079999</td><td>False</td><td>0.479727658886</td><td>0.124077149969</td><td>0.730669292293</td><td>0.211017304345</td><td>False</td><td>0.928316267605</td><td>0.169598731653</td><td>1.7788174377</td><td>0.332538891694</td><td>False</td><td>1.65397484494</td><td>0.253053223899</td><td>1.63328388109</td><td>0.64234458342</td><td>False</td><td>1.17000231701</td><td>0.486768049864</td><td>3.67103231942</td><td>1.47184474941</td><td>False</td><td>3.75722341032</td><td>1.27162468238</td></tr>\n",
       "<tr><td>7</td><td>294704223</td><td>17.045022</td><td>-0.661695</td><td>0.550054490566</td><td>20.1346473694</td><td>0.00526327127591</td><td>20.0081725121</td><td>0.00416621798649</td><td>18.7334136963</td><td>0.00294821290299</td><td>18.7192797661</td><td>0.00211306195706</td><td>17.988483429</td><td>0.00196443265304</td><td>17.9330177307</td><td>0.00127401156351</td><td>17.6575489044</td><td>0.00256364955567</td><td>17.6126127243</td><td>0.0015518652508</td><td>17.633014679</td><td>0.00622316496447</td><td>17.6456899643</td><td>0.0042807823047</td><td>32.0731084117</td><td>0.155479267885</td><td>False</td><td>36.0355367425</td><td>0.138276591194</td><td>116.582810687</td><td>0.316569480899</td><td>False</td><td>118.110387285</td><td>0.229866670202</td><td>231.529657018</td><td>0.418908770289</td><td>False</td><td>243.664863122</td><td>0.285918303063</td><td>314.036724028</td><td>0.741506182154</td><td>False</td><td>327.306711176</td><td>0.467826263141</td><td>321.213750618</td><td>1.8411158716</td><td>False</td><td>317.485587014</td><td>1.25176509444</td></tr>\n",
       "<tr><td>8</td><td>204754270</td><td>7.512254</td><td>2.785979</td><td>0.355803012848</td><td>25.0397472382</td><td>0.279950886965</td><td>24.6618208885</td><td>0.236109867692</td><td>24.0038604736</td><td>0.199447751045</td><td>23.9802851677</td><td>0.18115927279</td><td>23.9276733398</td><td>0.29087293148</td><td>23.7929878235</td><td>0.225584179163</td><td>23.5363101959</td><td>0.384520679712</td><td>23.106253624</td><td>0.226250842214</td><td>24.1381263733</td><td>2.16824626923</td><td>23.6854448318</td><td>1.42437124252</td><td>0.350026644537</td><td>0.0902523736154</td><td>False</td><td>0.495760184301</td><td>0.107810599858</td><td>0.908773826646</td><td>0.166940086495</td><td>False</td><td>0.928722426585</td><td>0.154960918395</td><td>0.974833991198</td><td>0.261161799233</td><td>False</td><td>1.10358266656</td><td>0.229292151153</td><td>1.39789941014</td><td>0.495075349797</td><td>False</td><td>2.07729679197</td><td>0.432876924111</td><td>0.803062692721</td><td>1.60373917699</td><td>False</td><td>1.21849027475</td><td>1.59853056299</td></tr>\n",
       "<tr><td>9</td><td>294690685</td><td>17.44704</td><td>-0.365072</td><td>0.614377319813</td><td>24.0664348602</td><td>0.22230450809</td><td>23.7144560814</td><td>0.117076024413</td><td>23.7859153748</td><td>0.376365482807</td><td>23.7009482384</td><td>0.19604358077</td><td>22.7013530731</td><td>0.162779614329</td><td>22.9916439056</td><td>0.113360464573</td><td>22.8804283142</td><td>0.353902339935</td><td>22.4386529922</td><td>0.125092625618</td><td>23.2856121063</td><td>1.2072455883</td><td>22.8413190842</td><td>0.484893381596</td><td>0.857879037603</td><td>0.175650748883</td><td>False</td><td>1.18636292866</td><td>0.127926705022</td><td>1.11079483093</td><td>0.385051940802</td><td>False</td><td>1.20121488356</td><td>0.216894735586</td><td>3.01619052099</td><td>0.45220406909</td><td>False</td><td>2.30856675779</td><td>0.24103479189</td><td>2.55757674439</td><td>0.833657743417</td><td>False</td><td>3.84183583465</td><td>0.44263544832</td><td>1.7609829758</td><td>1.95806211425</td><td>False</td><td>2.65138238318</td><td>1.18411614538</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",
       "require.config({paths: {\n",
       "    datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n",
       "}});\n",
       "require([\"datatables\"], function(){\n",
       "    console.log(\"$('#table139733130210832-467339').dataTable()\");\n",
       "    $('#table139733130210832-467339').dataTable({\n",
       "        \"order\": [],\n",
       "        \"iDisplayLength\": 50,\n",
       "        \"aLengthMenu\": [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n",
       "        \"pagingType\": \"full_numbers\"\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": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "  ma.MaskedArray.__setitem__(self, index, value)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 18518766 sources.\n",
      "The cleaned catalogue has 18518555 sources (211 removed).\n",
      "The cleaned catalogue has 211 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "SORT_COLS = ['merr_ap_decam_g', 'merr_ap_decam_r','merr_ap_decam_i','merr_ap_decam_z','merr_ap_decam_y']\n",
    "FLAG_NAME = 'des_flag_cleaned'\n",
    "\n",
    "nb_orig_sources = len(catalogue)\n",
    "\n",
    "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL, sort_col=SORT_COLS,flag_name=FLAG_NAME)\n",
    "\n",
    "nb_sources = len(catalogue)\n",
    "\n",
    "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n",
    "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n",
    "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## III - Astrometry correction\n",
    "\n",
    "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_Herschel-Stripe-82.fits\")\n",
    "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dd41UtdAIQEjraoYJxN0jUvpf+BxKVU8adk/GnTvNPRg9LqmvLPq32YZIWh5J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\n69at82lb5HG7SbyWCcMGu8jYcQsV2Z/UVSLlRahUdqk6M1lbImJnqZp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g6lV5C/aOEXDu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hyIBQsWoKSkBEuXLs3Y5s0338Tu3btx55134vvvvw905o8uXbpYvve2b98+9OzZE927d0eLFi3w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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f16a569d1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TMAJHg4m7YsPmoz1rtAIojCsmgBRDvXgc+rVX9BNZUbEFUZl7xfbCnXdBJaxxkU1UGLlO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\nifSnK5cfHfOauLVKVpl5z1aOj7ReajQ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09wAev+wHPpqaCMEs3rD5FMX06pX+JuXXARGV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\n8XTtBQAZFLh1+7QV8Y18OwEpNSCijAZEo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qTcsmWLjMfj8v3335fTpk2T69evz2OLO4/r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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1321fb1828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec,  near_ra0=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.10772843384074804 arcsec\n",
      "Dec correction: -0.12958925090371665 arcsec\n"
     ]
    }
   ],
   "source": [
    "delta_ra, delta_dec =  astrometric_correction(\n",
    "    SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n",
    "    gaia_coords\n",
    ")\n",
    "\n",
    "print(\"RA correction: {}\".format(delta_ra))\n",
    "print(\"Dec correction: {}\".format(delta_dec))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL] = catalogue[RA_COL] + delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL].unit = u.deg\n",
    "catalogue[DEC_COL].unit = u.deg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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23XXX4bzzzsPf//3fY8qUKWhvb0dPTw82bdqErq4ufP/734+tQrNmzUI6ncba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lWRRLBSkecyevTocleFIByQmBFlwTAM9OjRw/7vBz/4AQYPHoz7778fNTU1WLRoUV6af/zjH9i2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\nqHpIzAiCIIiq5/8BZOm4VdzNHukAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f16279360b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GcR+5MsSTNfDkfu2FfDiJliTGI3pWZCbUdN7Qs6aj5UyV65mSwpdAGEQlD+nq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\nErAk2JDtcseaoklNUkftB1J1hd4vcDJH0lWqbs7gF9ycddzxiZPaYW4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6vJ9zBF999FNQ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f25555j0aJFx23ftGkTN910E3fccQfXXXcdXV1d3Hfffbz88ss89thjRE9weIiSu4iIDDX9\nIrmfzKpVq3j66afZvHlz7lprayvTpk1j7dq1zJo167hfq+QuIiJDzYAoP+v7Pr7vH3UNIAiCE37t\n8f4HRUREhpp+taDu8ssv59///jfr168nHo9z6NAh7rvvPmpqapg6dWqhwxMRERkQ+tWwPMBTTz3F\n2rVreeutt/B9nylTprB8+XLGjx9f6NBEREQGhH6X3EVERKR3+tWwvIiIiPSekruIiMggo+QuIiIy\nyCi5i4iIDDJK7h/Btm3baGpqoqmp6ag23/dZvXo1V1xxBQ0NDVxzzTVs2rSpAFEOPF1dXdx99900\nNTUxZcoUbrjhBv76178WOqwBa+/evdx8881MmDCBd955p0fb448/zrx582hoaGD27NmsXr36qJoS\ncmzNzc3ceeedfOpTn+ITn/gE119/Pdu2bcu1q29P365du1iyZAnTpk1j8uTJzJs3j6eeeirXrr7t\nBScntGrVKtfU1OS+/OUvu0svvfSo9jVr1rgZM2a4nTt3ukQi4bZu3eomTZrknn/++QJEO7CsWLHC\nXXXVVW737t0uHo+73/72t66+vt69+eabhQ5twHnyySddY2OjW758uRs/frzbu3dvru1vf/ubmzRp\nktu8ebNLJBLu1VdfdbNmzXJr1qwpYMQDx/XXX+++9KUvuQMHDrh4PO5WrVrlLrroIvfee++pb3uh\ns7PTffKTn3Tf+973XFtbm0skEu7+++93dXV1bteuXerbXtKd+0kUFxfz+9//ngsuuOCoNuccGzZs\nYNGiRUyaNIlIJMJnPvMZZs6cybp16woQ7cBx6NAhNm3axLJlyxgzZgzRaJSFCxcybtw4HnzwwUKH\nN+C0trayYcMGrr766qPa1q9fz4wZM5gzZw6RSIQJEyZw66238utf//qklR+Hura2NsaNG8e3vvUt\nampqiEaj3HbbbXR2drJjxw71bS90dXXxjW98g69//euUlpYSiUT4whe+gO/7vP766+rbXlJyP4ml\nS5dSWlp6zLY9e/bQ0tLChRde2OP6hRdeyMsvv5yP8Aasf/3rX6RSKSZPntzjuvru9CxYsIAxY8Yc\ns+2ll1465nu0tbWVt99+Ow/RDVxlZWV8//vfZ9y4cblre/fuBWDEiBHq216oqqpiwYIFFBUVAXDw\n4EHuv/9+RowYQWNjo/q2l/pVbfl8+yhH0J5IS0sLABUVFT2uDxs2LNcmx9bdP5WVlT2uDxs2LHfc\nr/SNlpaWY75Hu9vGjh1biLAGpPb2du68804uu+wyJk+erL7tI/X19bk/9h944IHc71D17ekb0sn9\n73//+wmPoN2xY8cJj5k9EWPM6YY15KnvpD/at28fS5Ysobq6mlWrVhU6nEFl586dtLS0sGHDBj7/\n+c9raq4PDOnkfskll/Daa6+d9tdXV1cDmfnOIx08eJDhw4f3KrbBrrt/Wltbqa2tzV0/ePBgrl+l\nb1RXVx/zPQpQU1NTiJAGnB07drBkyRJmz57NypUrCYfDgPq2L1VVVbFs2TK2bt3Kgw8+qL7tJc25\n98KoUaOoqak5ao74xRdf5OKLLy5QVANDfX09kUiEl156qcf17du3q+/6WENDwzHfozU1NZx33nkF\nimrgeP3117nttttYvHgxd999dy6xg/q2N/70pz/R1NREIpHocT2ZTOJ5nvq2l5Tce8EYwy233MID\nDzzAzp07SSaTPP744zz33HPceuuthQ6vXysrK2P+/PmsWbOGt956i66uLn7xi1+wb98+Fi5cWOjw\nBpVbbrmFZ599ls2bN5NMJnnllVf45S9/yaJFizQFchK+77NixQoWLFhwzJ9p9e3pa2hooKuri+98\n5zu0traSSCT41a9+xZ49e5g9e7b6tpd0KtwJ7Nu3jyuvvBLI/JD7vk8kEgHgnnvu4ZprrsE5x09/\n+lMeeughWlpaGDNmDF/72te47LLLChn6gJBMJvnRj37EE088QUdHB3V1dSxfvpwpU6YUOrQB54or\nrmD//v0450ilUoTDYYwxXH311Xz3u9/lySef5Cc/+Qlvv/021dXVLFy4kK985Sv6JXkS//jHP7jp\nppty/Xkk9W3v7dq1i3vvvZcXX3wRay1jx45l6dKluYJh6tvTp+QuIiIyyGhYXkREZJBRchcRERlk\nlNxFREQGGSV3ERGRQUbJXUREZJBRchcRERlklNxF5JhWrFjBhAkTjvqYOnUqixcvPu7pfatXr2bC\nhAmsXLkyzxGLSDcldxE5rqqqKp599tncxzPPPMPPfvYz0uk0N998M6+++mqP5/u+z6OPPkpdXR1b\ntmyhq6urQJGLDG1K7iJyXNZaampqch+1tbVcfPHFrFmzhnA4zPr163s8/y9/+Qvvv/8+P/jBD0gk\nEvzxj38sUOQiQ5uSu4icspKSEs477zzefffdHtcffvhhGhsbqaurY8aMGTzyyCMFilBkaFNyF5FT\nFo/Heeeddxg5cmTuWnNzM3/+85+59tprAZg/fz4vvPACe/fuLVSYIkOWkruInJIDBw6wcuVKurq6\nuPHGG3PXN27cSFFREZdffjkAM2fOpKqqiscee6xQoYoMWaFCByAi/VdzczMNDQ25x0EQEI/Hqa+v\nZ+3atdTV1eXaHn74YebMmUM0GgUgHA5z1VVXsXHjRpYtW6aTvETySMldRI6rsrKS3/3ud7nH//zn\nP/nmN7/J0qVLmT59eu769u3b2b17N7t37+7x/G7PP/88jY2NeYlZRJTcReQEPM9j9OjRucejR4/m\nD3/4A9/+9reZNm0aZWVlQOau/fzzz2fVqlVHfY+VK1fyyCOPKLmL5JHm3EXklNx11120tbXx4x//\nGICOjg62bNnC3LlzqaurO+rjc5/7HFu3bqW9vb3AkYsMHUruInJKRo0axe23385DDz3ECy+8wObN\nm+ns7GTu3LnHfP6cOXNIJBI88cQTeY5UZOhScheRU7Zo0SLGjRvHXXfdxW9+8xsmTZrUY/j+SCNG\njKChoYFHH300z1GKDF3GOecKHYSIiIj0Hd25i4iIDDJK7iIiIoOMkruIiMggo+QuIiIyyCi5i4iI\nDDJK7iIiIoOMkruIiMggo+QuIiIyyCi5i4iIDDL/D9XOd9zek4oUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f162798e0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec,  near_ra0=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "668327 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"des_flag_gaia\"\n",
    "\n",
    "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n",
    "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## V - Flagging objects near bright stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VI - Saving to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/DES.fits\".format(OUT_DIR), overwrite=True)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python (herschelhelp_internal)",
   "language": "python",
   "name": "helpint"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
