{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XMM-LSS 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 16:14:46.354073\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_XMM-LSS.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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pTElPRdYvlnTsxOH3cM7Nk3S8yR+z2tl/u6QZkeX1ksZ2IGOPUlkW0LeeXqlNNYc0oCDT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\nMzMzKwsuaszMzKws/H/ywIB1/y3VtgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9ba38575f8>"
      ]
     },
     "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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bBtzoHBo/NZndNjQZUVF8HReR3QDep5RqE5EKAH9VSi04ap88AFsBzFbTLKyh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\nDcOnCLwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bc75668>"
      ]
     },
     "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: -0.43033790588378906\n",
      "Number of source used: 1406\n",
      "RMS: 0.12299967427344391\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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csf71T6tUs/ug13EAAH0IpQYpxecz/fC6qcoI+PSRny3Qo2+8r0iEoSgAwMlR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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bc28128>"
      ]
     },
     "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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XrVv1Cbf97Aes+ngZ51xyJedddnVMT9Ut3tnS2BqTQ5vrt9Yx9ZareOvl5xl/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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7ba34128>"
      ]
     },
     "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: -0.29843902587890625\n",
      "Number of source used: 932\n",
      "RMS: 0.05432696846887861\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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2c9UGAHBk6bhSE5Z0q3NukqSZkm4ws0mSviLpeedcSNLz8e0DmJlf0k8kXShp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\nGjMzM6sJLmrMzMysJrioMTMzs5rw/wEnKVU9Y6yrwgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bcd9898>"
      ]
     },
     "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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+madZ88gD/O2xRwkO9FNeVcNHzjqfE0/9GLMOnKddPaogaWjJUtFIhO/fegMP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\nA45PXr8PeBK4evgOxhgD9Cd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0dmOlMk3fhVPIbksEFj3LQKm92awWavzF1PiLCUfjtPYl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7ba7ccc0>"
      ]
     },
     "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: -0.2677316665649414\n",
      "Number of source used: 789\n",
      "RMS: 0.037678857641501536\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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Yrgdfe9frcgAAOYJQA098+sxq1YZD+v5Ty7R6e7PX5QAAcgChBp7w+Uw/vnyK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\nMzOrCy5qzMzMrC64qDEzM7O68P8BnBwicuOJwPkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bbfa550>"
      ]
     },
     "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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d1LtOtVoYUUREYi2iHpPW2vXA97t5fiXwnTlXrLVvA293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\nIilBoUVERERSgkKLiIiIpIT/BzyuOInc35LEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bc22a90>"
      ]
     },
     "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: -0.28620338439941406\n",
      "Number of source used: 1398\n",
      "RMS: 0.058145394697278134\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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HDnM8kmz68EINzgtqwZoqfWTWcK/jAADgqURGam7s5j70EZ/PdPqkkF5YW6W2SNTrOAAA\neKo7T+k+R7GHTA43s9s7fVUgqT1ZwdA98yeH9NCSrVry3j4dN7bE6zgAAHimOyM12yUtltQiaUmn\n1+OSPpi8aOiOkyaUKsNvWrimyusoAAB4qjtP6V4maZmZ/cU5x8hMisnLDOi4sSVasHqXvnnuZK/j\nAADgmSOO1JjZg/HNt8xs+aGvJOdDN1RWhLRhd6M27Wn0OgoAAJ7pzuWna+Pv50n6cBcveGz/6sJc\nggIADGRHLDXOuR3x9/e6eiU/Io5kVEmuxofyKDUAgAEtkad0X2hm68ys1szqzKzezOqSGQ7dN78i\npNferVZ9S5vXUQAA8EQi69T8WNL5zrlC51yBcy7fOVeQrGBITGVFSG0Rp5fW7fE6CgAAnkik1Oxy\nzq1OWhIclTmjilWQFdACLkEBAAaoRB6TsNjMHpD0N0mt+3c65x7p9VRIWMDv02mTQnpuTZWiUSef\nz7yOBABAn0pkpKZAUpOks3Rg5tN5yQiFnpk/OaTqxrCWba3xOgoAAH2u2yM1zrkrkhkER+/UiaXy\n+2KrC88aWex1HAAA+lS3S80hz33ar1bSYufcY70XCT1VlBPUnFHFWrC6Sl87a5LXcQAA6FOJXH7K\nkjRT0rr4a7qkEZI+a2a/SEI29MD8ipDe3lGnHbXNXkcBAKBPJVJqpks63Tn3S+fcLyWdIalC0kcV\nu88GKWD+ZFYXBgAMTImUmmJJeZ0+50oa5JyLqNNsKHhrXGmeRg7K0cLVlBoAwMCSyJTuH0taambP\nSzJJp0j6gZnlSno2CdnQA2amyoqQ7nt9s5rDEWUH/V5HAgCgT3R7pMY593tJJyi2Ts2jkk5yzv3O\nOdfonPt6sgIicfMnh9TaHtUrG1ldGAAwcCRy+UmSWiTtkLRP0ngzO6X3I+FozRszSLlBvxZwCQoA\nMIAkMqX7c5KuVWzG01JJx0l6RVJlcqKhpzIDfp08oVQL11TJOSczVhcGAKS/REZqrpV0rKT3nHOn\nS5oliaVrU1Tl5JB21LZo9Y56r6MAANAnEik1Lc65Fkkys0zn3BpJrPCWok6ftH9q9y6PkwAA0DcS\nKTVbzaxIsRuFnzGzxyS9l5xYOFql+ZmaUV7EU7sBAANGIs9++mh88yYze05SoaSnkpIKvWJ+RUg/\nf/Yd7Wlo1eC8TK/jAACQVAnNfjKzYjObLqle0lZJ05KSCr2isiIk56Tn1+72OgoAAEmXyOyn70r6\ntKSNkqLx3U7MfkpZU4cVqKwgU0+v2qmL54zwOg4AAEmVyIrCl0ga55wLJysMepeZ6eI5I/Sr5zZo\nwepdmj+5zOtIAAAkTSKXn1ZKKkpWECTHV+ZP0OShBfr6X5erqq7F6zgAACRNIqXmh5LeMrOnzezx\n/a9kBUPvyAz49cvLZ6op3K6vPbRM0ajzOhIAAEmRyOWnP0r6kaQVOnBPDfqB8aF8/ed5U/XNR1fo\n9y+9qytPGet1JAAAel0ipabJOXd70pIgqS6fV64X3qnSj59eo+PHlWja8EKvIwEA0KsSufz0opn9\n0MyON7PZ+19JS4ZeZWa65cLpKsnN1Ffue0tN4XavIwEA0KsSKTWzFHuI5Q8k/Sz++mkyQiE5inOD\nuvXSGXq3ulH//fe3vY4DAECvSmRF4dOTGQR944Rxg/XFU8fp189v0KkTS3XOMUO9jgQAQK9IaEVh\npIfrzpyoGSMKdcMjK7S9ptnrOAAA9ApKzQCU4ffptstmqT0S1XUPLFWEad4AgDRAqRmgRg/O1X9f\nME2vvbtXd76wwes4AAActUSmdMvMTpA0uvN5zrk/9XIm9JELZw/XC+/s1q3PvKMTxpVo1shiryMB\nANBj3R6pMbM/Kzbb6SRJx8Zfc5OUC33AzPS9j07T0MIsXXv/UtW3tHkdCQCAHktkpGaupCnOOW7A\nSCMFWRm67bKZ+tidr+i/HlulWy+d6XUkAAB6JNEHWg5JVhB4Z86oQbp2/kQ98tY2/e2tbV7HAQCg\nRxIZqRks6W0ze11S6/6dzrnz3+8kM7tH0nmSqpxz0+L7Zkq6U1KWpHZJVzvnXu/i3E2S6iVFJLU7\n57jclSTXnD5OL63frW//baVmjyzWyJIcryMBAJAQ6+7VJDM7tav9zrkXjnDeKZIaJP2pU6n5P0k/\nd879w8zOlfQfzrnTujh3k6S5zrk93QoZN3fuXLd48eJEToGkrfuadM5tL2p8KE8Pff54BfxMjgMA\neM/MlnRnYKPb/9Vyzr3Q1asb5y2StPfQ3ZIK4tuFkrZ3NweSZ0Rxjn544TF6a3ONbl+wzus4AAAk\nJJHZT8eZ2Rtm1mBmYTOLmFldD3/vVyX9xMy2KDaj6sbDHOckPWtmS8zsqh7+LiTgvOnDdPGcEbrj\nufV6bWO113EAAOi2RK4v3CHpcknrJGVL+pykX/Xw935R0nXOuXJJ10n6/WGOO8k5N1PSOZKuiV/K\n6pKZXWVmi81s8e7du3sYC5J00/lTNXJQjq57YKlqm5jmDQDoHxK6acI5t16S3zkXcc79QdLZPfy9\nn5L0SHz7IUnzDvP7tsXfqyQ9erjj4sfc5Zyb65ybW1pa2sNYkKS8zIBuu2yWqupbdeOjy8UsfgBA\nf5BIqWkys6CkpWb2YzO7LsHzO9suaf+Nx5WKjf4cxMxyzSx//7aksxSbVo4+MKO8SF87a5KeXLFT\nDy3e6nUcAACOKJFS8sn48V+S1CipXNJFRzrJzO6T9IqkSWa21cw+K+lKST8zs2WSfiDpqvixw8zs\nyfipZZJeih/zuqQnnHNPJZAXR+nzp4zVCeNK9F+Pr9KG3Q1exwEA4H11e0q3JJlZtqSRzrm1yYt0\n9JjS3Xt21rbo7NsWaURxth754okKBpjmDQDoW70+pdvMPixpqaSn4p9nmtnjPY+I/mBIYZZ+dNF0\nrdxWp5/9X0p3WQDAAJfI/3bfpNiNujWS5JxbKmlMEjIhxXxw6hD92wdG6reLNuqldQmtgwgAQJ9J\npNS0OedqD9nHtJgB4tsfmqLxoTxd/+BSVTe0HvkEAAD6WCKlZpWZfVyS38wmmNkvJb2cpFxIMdlB\nv26/bJZqmtr0jYeZ5g0ASD2JlJovS5qq2MMs75NUp9jKwBggpgwr0A3nVOjZ1VX6n1ff8zoOAAAH\n6fZTup1zTZK+FX9hgLrixNFatG63vvfEan1gbIkmluV7HQkAAEndKDVHmuHknDu/9+Ig1ZmZfnLx\nDJ1z2yJ95b639LdrTlRWht/rWAAAdGuk5nhJWxS75PSaJEtqIqS80vxM/fRjM/TpP7yhW/6xRjed\nP9XrSAAAdOuemiGSvilpmqTbJJ0paY9z7gXn3AvJDIfUddqkkD5z4hjd+/ImLVyzy+s4AAAcudTE\nH175lHPuU5KOk7Re0vNm9qWkp0NK+8Y5kzR5aIG+/tByVdW3eB0HADDAdWv2k5llmtmFkv5H0jWS\nblfsqdkYwDIDft1+2Uw1htv1tQeXKRplmjcAwDtHLDVm9ifFHkg5W9LNzrljnXPfdc5tS3o6pLwJ\nZfn6znlT9OK6Pbrnn+96HQcAMIB1Z6TmE5ImSLpW0stmVhd/1ZtZXXLjoT/4+LyROmtKmX701Bqt\n3HbootMAAPSN7txT43PO5cdfBZ1e+c65gr4IidRmZvrRRdM1KDeoa+9/S03hdq8jAQAGoERWFAYO\nqzg3qFsvmamNexr13f9d7XUcAMAARKlBrzlx/GB9/pRxuu/1zXpq5Q6v4wAABhhKDXrV9WdO1PQR\nhfrGwyu0o7bZ6zgAgAGEUoNeFQz4dNtls9QWieq6B5YqwjRvAEAfodSg140ZnKubz5+qVzfu1Z0v\nbPA6DgBggKDUICkunjNC500fqlufeUdvbd7ndRwAwABAqUFSmJm+/9FjNKQgS9fev1QNrUzzBgAk\nF6UGSVOYnaFfXDZTW/c16T8fW+l1HABAmqPUIKmOHT1IX66coEfe3KbHlvJkDQBA8lBqkHRfrhyv\nOaOK9e1HV2rL3iav4wAA0hSlBkkX8Pv0i0tnSpKuvf8ttUeiHicCAKQjSg36RPmgHH3/wmP05uYa\n3b5wvddxAABpiFKDPnP+jGG6aPYI3bFwnd7YtNfrOACANEOpQZ+6+YKpKh+Uo6/ev1S1zW1exwEA\npBFKDfpUXmZAt102S7vqWvTNR1fIOR6jAADoHZQa9LmZ5UW6/qyJemL5Dv11yVav4wAA0gSlBp74\n/CnjdPzYEv3X46v07p5Gr+MAANIApQae8PtMt146Qxl+n669/y2F25nmDQA4OpQaeGZoYbZ+dNEx\nWr61Vrc+847XcQAA/RylBp46e9pQXT5vpH67aIP+uX6P13EAAP0YpQae+855kzV2cK6uf3Cp9jaG\nvY4DAOinKDXwXE4wNs17X2ObvvHwcqZ5AwB6hFKDlDBteKH+4+xJeubtXfrLa5u9jgMA6IcoNUgZ\nnzlxjE6ZWKrv/u/bWrer3us4AIB+hlKDlOHzmX76senKywzoy/e9pZa2iNeRAAD9CKUGKSWUn6Wf\nfmyG1uys1+V3v6r1VYzYAAC6h1KDlHN6RUi3Xz5L7+5p1Lm3vaRfPbdebREW5wMAvD9KDVLS+TOG\n6ZnrTtWZU8r0k6fX6oI7/qmV22q9jgUASGGUGqSs0vxM/erfZuvOT8xWVX2rLvjVP/XTp9eqtZ17\nbQAA/4pSg5R39rShevb6U/SRmcN1x3Pr9aHbX9Kbm/d5HQsAkGIoNegXinKC+tklM3TvFceqqbVd\nF/3mZf33399WU7jd62gAgBRBqUG/ctqkkP7v+lP1iQ+M0j3/fFdn/+JFvbyBZ0YBACg16IfyMgP6\n7kem6f6rjpPPpI/f/ZpufGSF6lravI4GAPAQpQb91nFjS/SPa0/RlSeP0QNvbNZZty7SwjW7vI4F\nAPAIpQb9WnbQr299aIoeufpEFWQH9Jl7F+u6B5ZqH0/7BoABh1KDtDCzvEh///JJ+sr8Cfr7su06\n8+cv6MkVO7yOBQDoQ5QapI3MgF/XnzlRj3/pJA0tzNbVf3lTX/jzElXVt3gdDQDQByg1SDtThhXo\n0atP0DfOrtDCtVU689ZF+uuSrXLOeR0NAJBElBqkpYDfpy+eNk7/uPZkTQjl6f89tEyf/sMb2lbT\n7HU0AECSUGqQ1saV5unBzx+vmz48RW9s2quzbn1Bf371PUWjjNoAQLpJeqkxs3vMrMrMVnbaN9PM\nXjWzpWa22MzmHebcs81srZmtN7Mbkp0V6cnnM336xDF6+qunaNbIYn3nbyt12d2v6t09jV5HAwD0\nor4YqblX0tmH7PuxpJudczMl/Wf880HMzC/pV5LOkTRF0uVmNiW5UZHOygfl6M+fnacfXXSMVu+o\n09m/WKS7F21UhFEbAEgLSS81zrlFkvYeultSQXy7UNL2Lk6dJ2m9c26jcy4s6X5JFyQtKAYEM9Ol\nx47Us9efqpMnlOr7T67Whb95We/sqvc6GgDgKHl1T81XJf3EzLZI+qmkG7s4ZrikLZ0+b43vA45a\nWUGW7v73Obr98lnasrdJH7r9Rd327DqF26NeRwMA9JBXpeaLkq5zzpVLuk7S74/2B5rZVfH7cxbv\n3r37qAMi/ZmZzp8xTM9cd4rOnjZUP3/2HZ1/x0tasbXW62gAgB7wqtR8StIj8e2HFLvUdKhtkso7\nfR4R39cl59xdzrm5zrm5paWlvRYU6a8kL1O/vHyW7v73udrbGNZHfv1P3fKPNWppi3gdDQCQAK9K\nzXZJp8a3KyWt6+KYNyRNMLMxZhaUdJmkx/soHwagM6eU6ZnrT9VFs4frzhc26NzbXtQbmw69HQwA\nkKr6Ykr3fZJekTTJzLaa2WclXSnpZ2a2TNIPJF0VP3aYmT0pSc65dklfkvS0pNWSHnTOrUp2Xgxs\nhdkZ+vHFM/Tnz85Ta3tUl/z2Fd30+Co1trZ7HQ0AcASWjkvHz5071y1evNjrGOjnGlvb9ZOn1+qP\nr2zS8KJs3XLhdJ00YbDXsQBgwDGzJc65uUc6jhWFgcPIzQzopvOn6sHPH6+g36dP/P41feOvy1Xb\n3OZ1NABAFyg1wBEcO3qQnrz2ZH3h1HF6aMkWnfXzF/TM27u8jgUAOASlBuiGrAy/bjinQn+75kQV\n5wR15Z+jwzi1AAAgAElEQVQW68v3vaXqhlavowEA4ig1QAKmjyjS4186SdedMVFPrdyhM3++SI8v\n2650vDcNAPobSg2QoGDAp2vPmKD//fLJKi/O1lfue0tX/mmJdtW1eB0NAAY0Sg3QQ5OG5OvhL56g\nb55boRfX7dYZt76gB97YrCgPyAQAT1BqgKMQ8Pt01Snj9NRXT9HkoQX6xsMr9KFfvqTn1lZxSQoA\n+hilBugFYwbn6v4rj9Ntl81UQ2ubrvjDG7r87lf11uZ9XkcDgAGDUgP0Ep/PdMHM4Vpw/Wm6+fyp\nWl/VoI/++mV94c9LtL6qwet4AJD2WFEYSJKG1nb9/sV3ddeiDWppj+pjc0boq2dM1JDCLK+jAUC/\n0t0VhSk1QJLtaWjVHQvX6y+vvSefma44cYy+eOo4FeZkeB0NAPoFSg2lBilmy94m3frMO/rb0m3K\nzwzo6tPH69MnjFZWht/raACQ0ig1lBqkqLe31+nHT6/R82t3a0hBlq47c4Iumj1CAT+3uAFAV3ig\nJZCipgwr0L1XzNP9Vx2nIYVZ+sbDK/TBXyzSUyt3Mg0cAI4CpQbwyHFjS/To1Sfozk/MkSR94X+W\n6MLfvKxXN1Z7nAwA+idKDeAhM9PZ04bo6a+eolsuPEY7alp02V2v6tN/eF1vb6/zOh4A9CvcUwOk\nkJa2iO59eZN+/dx61be26yMzh+v6MyeqfFCO19EAwDPcKEypQT9W29Sm37ywQX/457uKOqd/+8Ao\nfblyvEryMr2OBgB9jlJDqUEa2FnbotsWvKMHF29VVsCnK08Zq8+dPFZ5mQGvowFAn6HUUGqQRtZX\nNeinT6/VU6t2qiQ3qK/Mn6DL541UMMBtcQDSH1O6gTQyPpSnOz85R49efYImlOXpvx5fpTNufUGP\nLd2maDT9/scEAHqCUgP0I7NGFuu+K4/TvVccq9zMgK69f6nO++VLen5tFWvcABjwKDVAP2NmOm1S\nSE98+STddtlM1be26dN/eEOX3/2qlm6p8ToeAHiGUgP0Uz6f6YKZw7Xg+tN004enaN2uBn3kV//U\nF/9niTbsbvA6HgD0OW4UBtJEQ2u7fvfiRt29aKNa2qO6ZO4IXTt/ooYUZnkdDQCOCrOfKDUYoPY0\ntOqOhev1l9fek99nuuLEMfrCqeNUmJ3hdTQA6BFKDaUGA9zm6ibd+sxaPbZsuwqyMnT1aeP0qRNG\nKyvD73U0AEgIpYZSA0iS3t5epx8/vUbPr92toYVZuu6Mibpw9nAF/NxSB6B/YJ0aAJKkKcMKdO8V\n83T/VceprCBL//Hwcp1924t6etVOpoEDSCuUGmCAOG5siR69+gTd+Yk5cs7p839eoot+87Je21jt\ndTQA6BVcfgIGoPZIVH9dslW/eHaddta1aMaIQs0aWayZ5UWaPqJQo0ty5fOZ1zEBQBL31FBqgG5o\naYvoT69s0rNvV2nFtlo1t0UkSQVZAc2IF5wZI4o0s7xIoQKmhgPwBqWGUgMkpD0S1frdDVq2pUZL\nt9Rq+dYardlZr0j82VJDCrI0o7xQM8qLNGNEkY4ZUaiCLKaJA0i+7paaQF+EAZD6An6fKoYUqGJI\ngS49NravpS2iVdtrtWxLrZZtrdGyLTV6etWujnPGleZqxoiiWNEpL9LkofnKDDBlHIA3KDUADisr\nw685owZpzqhBHftqmsJavrVWy7bUaNnWWi1at0ePvLVNkpThN00eWqAZI2KXrmaWF2lsaZ783J8D\noA9w+QnAUXHOaUdti5ZvjV22WralRiu21aqhtV2SlJcZ0LThBZpRXqSZI4o0vbxIwwqzZEbRAdA9\nXH4C0CfMTMOKsjWsKFtnTxsqSYpGnTbuaegoOcu31uiel95VWyT2P1GD8zI1szx2E/L08iLNGFGo\nopygl38MAGmAUgOg1/l8pvGhfI0P5eviOSMkSa3tEa3eUR8f0Yndn/Ps6qqOc0aX5Gh6/P6cmeWF\nmjqskEc6AEgIl58AeKaupU0rt9Zq6dYaLY/fjLyjtkWS5PeZJpXlx2dbxWZdTQjl8XgHYABiSjel\nBuiXqupatKzjRuTYiE5dS+z+nOwMf+z+nPhlq9ElORpSmKXBuZksFgikMUoNpQZIC845bapuiq+f\nE7s/Z+X2OoXbox3HBHymsoIsDSmMvwqyNDS+PbQwS2UFsVcGozxAv8SNwgDSgplpzOBcjRmcq4/M\nGi5JaotE9c6uem3b16yddS3aWRt77aht0dvb67Rg9S61tEUP+TmxG5T3l5xDS8/QwmwNKchSdpD7\neID+ilIDoN/J8Ps0dVjsZuKuOOdU19yuHXXN2lHbol3xwrOztkU761q0ubpJr22s7ris1VlRToaG\nFBwoPEMKsjWkMFNDCrM7ilB+ZoAp6UAKotQASDtmpsKcDBXmZKhiSMFhj2sKtx80yrN/1Ce23ayV\n22q1pyH8L+flBP2HjPJkxUpPp0tgg3KC3OcD9DFKDYABKycY0NjSPI0tzTvsMa3tEVXVtWpnXcvB\noz7xUaBXN1RrV31rxzOy9gv6fSorzIyP+sRHeQqyFCrIVHFOUIXZGSrMzlBRTobyGPkBegWlBgDe\nR2bAr/JBOSoflHPYYyJRpz0NrQcucdU2a0ene32Wb63R06taDrq5uTO/z2IFJzs2urR/uygnqIKO\n7dgrVoaCHdvc/AwcQKkBgKPkj8++KivIksq7PsY5p31Nbaqqb1FNU5tqm9tU29SmmuawapvbVNPU\npprmNtU1t6m6IawNuxtU29TW5X0/neUG/f9Sfgrj5agoO9gxGlSUnRE7JidWlnKDfkaHkHYoNQDQ\nB8xMg3KDGpSb2OMgIlGnuuZYCappblNNU6wE7S9CB95j+9dXNagmXpjCka5HhqTYNPgD5Wf/pbCD\nL4t1HhkqyAooO+hXTjCgnKBfmQEfpQgph1IDACnM7zMV5wZVnGAZcs6ppS168EhQU2wkqKY5fKAQ\nxQvQnoaw1u9uUE1Tm+qPMDokST5TR8HJCfqVHQwoN+iPFx+/coOBju3Ox3VsZ8beszP8yt2/HfQr\nJ8PPqtHoMUoNAKQhM1N20K/sYLaGFmYndO7+0aGajhGhsBpa29XUGlFTuF1NbZH4dkTNbe1q7LRd\n39KuqrpWNYbb1Rzevz+S0O8PBnxdFKNYIcoO+pV7yPbBherg7awMnzIDsZGlrAy/ggGf/MxKS1uU\nGgDAQXo6OnQ40ahTc1us4DSF2+Pvnbdj783hSKwgtbV3bDe3xY9pjaiqvqWjTO0/pz2a+Kr4GX7r\nKDqZAZ8yMzptB/zKzOj8fqAUZXYqSPtL0uHPP7hM7d8X9HPZLpkoNQCApPL5TLmZAeVmBiRl9urP\nDrdHYwWoczGKjxI1htvV2hZVa3tUre2R2Htbp+32iFrbomppj6q17cC+htZ2VTeEOx3X+fvD36fU\nXYcrU/tHlXKCfhXnBlUSvwdrUG5Qg/MyO7ZL8oLKCfKf767wTwUA0G8FAz4FAz4V5mT0ye9zzh0o\nOvFSdPjSFCtDLYeUoiOdt7OuRat31GlPY/iwywBkZfhUkpupkrwDxackN6iSePkp6diXGS9BA2O2\nG6UGAIBuMjNlZfiVleGXlNwi5ZxTYziivQ1hVTe2qrohrL2NYVU3hrW3sVXVjWFVN8Re63Y1qLqx\n9V+eebZfZsAXKzp5QQ3KzdTg/aNAefsLUKz87C9D/XVByKSXGjO7R9J5kqqcc9Pi+x6QNCl+SJGk\nGufczC7O3SSpXlJEUnt3ntAJAEA6MDPlZQaUlxnQyJLDL/7YWVM4dumso/h0bIfjpahVexvD2lDV\noL2N4cPexB30+zoudR0Y+ck86HNJvCANyo1N+U+FEtQXIzX3SrpD0p/273DOXbp/28x+Jqn2fc4/\n3Tm3J2npAABIEznBgHIGBd53BezOmsMRVceLzkFlqKMExfZtqm7U3oawGsNdl6AMv+mDU4fojo/P\n7s0/TsKSXmqcc4vMbHRX31ms1l0iqTLZOQAAwMGyg36NCOZoRHH3SlBLWyRWfOKXxDqXoVHdHE1K\nJq/vqTlZ0i7n3LrDfO8kPWtmEUm/dc7d1XfRAABAZ1kZfg0vytbwosTWPuorXpeayyXd9z7fn+Sc\n22ZmIUnPmNka59yirg40s6skXSVJI0eO7P2kAAAgpXm2FrWZBSRdKOmBwx3jnNsWf6+S9Kikee9z\n7F3OubnOubmlpaW9HRcAAKQ4Lx+wcYakNc65rV19aWa5Zpa/f1vSWZJW9mE+AADQjyS91JjZfZJe\nkTTJzLaa2WfjX12mQy49mdkwM3sy/rFM0ktmtkzS65KecM49ley8AACgf+qL2U+XH2b/p7vYt13S\nufHtjZJmJDUcAABIGzzfHQAApAVKDQAASAuUGgAAkBYoNQAAIC1QagAAQFqg1AAAgLRAqQEAAGmB\nUgMAANKC1w+0TIpNmzZp7ty5XscAAAC9Y3Z3DkrLUjN69GgtXrzY6xgAAKAXmNmb3TmOy08AACAt\nUGoAAEBaoNQAAIC0QKkBAABpgVIDAADSAqUGAACkBU9LjZmdbWZrzWy9md3QxfdmZrfHv19uZt2a\npw4AAAYez0qNmfkl/UrSOZKmSLrczKYcctg5kibEX1dJ+k2fhgQAAP2GlyM18yStd85tdM6FJd0v\n6YJDjrlA0p9czKuSisxsaF8HBQAAqc/LUjNc0pZOn7fG9yV6DAAAQPo8JsHMrlLsEpVKSkp00003\neRsIAAD0KXPOefOLzY6XdJNz7oPxzzdKknPuh52O+a2k551z98U/r5V0mnNux/v97Llz5zqe/QQA\nSBXRqFM4ElU4ElVbe+w93B5/HbIdiTplBvwKBnzKDPiUleFT0O9XZkbsc2y/X36fef3H6jNmtsQ5\nd8QnVXs5UvOGpAlmNkbSNkmXSfr4Icc8LulLZna/pA9Iqj1SoQEADGzOObW0RdUUbldrvCy0RaKx\n7fcrFV1+5+LvkfjPiX1ujf/Mzufv/9zxXaef0x7t/QGEgM8OKjmZGT4F/b54+fF32vYpGPArM16S\nOhemA+d0/v6QYw45vvPngM9kljrlyrNS45xrN7MvSXpakl/SPc65VWb2hfj3d0p6UtK5ktZLapJ0\nhVd5AQC9L9weKx+N4YiaWuPv4XY1tUbUGG5XUzgSe3X6rrE1oua22PuBzxE1tsaObwy3q7cuQgQD\nPmX6fcoIxP7jH4yXiIz4dqY/NpJSkBWIf+dXhj9eNvwHjtt/zv4Scuh3nX+2zyxejiIdJWl/OWtt\nj8Q+t8WKVmvbv3534JyImhrbO85vbYsoHIkeOCcSPep/Pj5TR6mqrAjp55fO7IV/6j3n6T01zrkn\nFSsunffd2WnbSbqmr3MBAA7WHomqqS3SUTaawweXiKb9BaNz8QgfKCb7j2065HMiIxjBgE+5Qb9y\nggHlBP3KyQwoN+jXsKKgcjP9sX3B2L6czNgxmZ0KSPDQ90O+O+jYFByF6G37L4l1XZhiJejQktR5\nu+O4eGEaX5bv9R8pfW4UBgB0X7g9qn1NYe1paFV1Q1h7G+PbjWHtbQirurFVe+LvexvCagxHuv2z\n/T5TTtCv3GBAOZnx96Bfg/OCysnM6SgmsSISOOjYA8XkwLnZwdj+DD+L4Pcmn8+U5fMrK8PvdZRe\nQ6kBgDQQiTrtawqrOl5EqhvCqm5ojZWVxgPb1Q2x8lLX0t7lzwn4TCV5QZXkZqokL6jRJTkqyctU\nQVaGcjP9yo2PgBw6ItK5mAT9vrQe4UDqotQAQApyzqm2uU3V8SJSHR9F6Sgt8aKyf5Rlb1O4y/tI\nfCYV5wQ7isqUYQUqyQ2qJC8zvi++HX8vyApQSNBvUWoAoI9Eok7b9jVrT6eRlIOKSkO4o6zsbQwf\n9n6TwuyMjkIyrjRP88YEDykqBwpLUU5wQE39xcBGqQGAJIhEnd7d06AV22q1fGutVm6r1artdWrq\n4t6U3KC/o5AML8rW9OGFsVLSMYJyoKgU5wQVDHBvCdAVSg0AHKVo1Ond6kat2FqrFdtqtWJrrVZt\nr+24uTY7w6+pwwp0ydxyTR6ar1BB1kGXfdLpRk3AS5QaAEhANOq0qbqxo7ysiI/ANLTGbrzNyvBp\nytACfWxuuaYNL9T0EYUaV5rHJSCgD1BqAOAwolGn9/Y2xQtMTazAbKtTfbzAZAZ8mjKsQBfOHq5j\nhhfqmBGFGl+apwBTjwFPUGoAQLHZRpv3NnXc/7J8a61Wbq9VfXzqczDg0+ShBfrIrE4FJpTH2ilA\nCqHUABhwnHPasrc5dhPvthqtjF9K2r92S9Dv0+Sh+Tp/xjBNH1GoacMLNbEsnwIDpDhKDYC05pzT\n1n3NB81CWrGtVrXNbZKkDL+pYkiBzpsxLDYCEy8wzDAC+h9KDYC04ZzTtprmA7OQ4q+apgMFZtKQ\nfJ17zBAdM7woVmCG5CkzwOwjIB1QagD0S845ba9tiReYGq3YVqcVW2u0L15gAj7TxLJ8nT11SMcs\npElD8ikwQBqj1ADoV5xzenLFTv3gydXaVtMsKfYAxYll+TpzSpmOGREbgakYks/6L8AAQ6kB0G9s\nr2nWd/62UgvWVGnqsAJ9/tSxOmZ4oSYPLaDAAKDUAEh9kajTn17ZpJ8+vVZRJ337Q5P16RNGsx4M\ngINQagCktLe31+nGR5Zr2dZanTqxVN/7yDSVD8rxOhaAFESpAZCSmsMR3bZgne5+caOKsjN022Uz\ndf6MYTLjcQMAukapAZByXly3W996dKU2723SJXNH6JvnTlZRTtDrWABSHKUGQMqobmjV959YrUfe\n2qYxg3P1/135AZ0wbrDXsQD0E5QaAJ5zzumRN7fpe0+8rfqWdn25cryuOX08M5oAJIRSA8BT71U3\n6luPrtRL6/do9sgi/fDC6Zo0JN/rWAD6IUoNAE+0RaL63Yvv6hfPvqMMv0/f/cg0/du8kfL5uBEY\nQM9QagD0uaVbanTDw8u1Zme9Pji1TDefP01DCrO8jgWgn6PUAOgzDa3t+unTa/XHVzYplJ+pOz8x\nR2dPG+J1LABpglIDoE88+/YufeexldpZ16JPHjdKX//gJOVnZXgdC0AaodQASKqquhbd9PdVenLF\nTk0sy9MdHz9Bc0YVex0LQBqi1ABIimjU6b43NuuWf6xRa3tUX//gJF158lgFAzyvCUByUGoA9Lr1\nVfW68ZEVemPTPh0/tkQ/uPAYjRmc63UsAGmOUgOg17S2R/Tr5zbo18+vV04woB9fPF0fmzOC5zUB\n6BOUGgC94rWN1brx0RXauLtRF8wcpu+cN0WD8zK9jgVgAKHUADgqtU1tuuWp1brv9S0aUZyte684\nVqdNCnkdC8AARKkB0CPOOT2xYoduevxt7W1s1VWnjNVXz5ignCB/rQDwBn/7AEjYtppmfedvK7Vw\nTZWmDS/QvVccq2nDC72OBWCAo9QA6LZI1OmPL2/ST/9vrZyTvv2hyfr0CaMV8DNNG4D3KDUAumXV\n9lrd+MgKLd9aq9Mmleq7F0xT+aAcr2MBQAdKDYD31RyO6BcL3tHvXnxXxTkZuv3yWfrw9KFM0waQ\ncig1AA5r0Tu79a2/rdCWvc26dG65bjy3QkU5Qa9jAUCXKDUA/kV1Q6u+98RqPfrWNo0dnKv7rjxO\nx48r8ToWALwvSg2ADs45PfzmNn3vibfV2Nqur1SO19Wnj1dWht/raABwRJ6UGjMbJOkBSaMlbZJ0\niXNu3yHHlEv6k6QySU7SXc652/o2KTBwbNrTqG8+ukIvb6jWnFHF+uGFx2hiWb7XsQCg27waqblB\n0gLn3C1mdkP88zcOOaZd0tecc2+aWb6kJWb2jHPu7b4OC6SztkhUdy3aqNsXrFPQ79P3PjJNH583\nUj4fNwID6F+8KjUXSDotvv1HSc/rkFLjnNshaUd8u97MVksaLolSAxyFpnC7lm6p0Zvv7dObm2v0\n5uZ9qmlq09lTh+jmC6aqrCDL64gA0CNelZqyeGmRpJ2KXWI6LDMbLWmWpNeSGwtIL845bd3XrDc3\n79Ob7+3Tks37tHpHvSJRJ0kaH8rTB6cM0dnThuj0Cp7XBKB/S1qpMbNnJQ3p4qtvdf7gnHNm5t7n\n5+RJeljSV51zde9z3FWSrpKkkSNH9igz0N+1tke0antdrMDEX1X1rZKknKBfM8uL9MVTx2nOqGLN\nGlnE9GwAaSVppcY5d8bhvjOzXWY21Dm3w8yGSqo6zHEZihWavzjnHjnC77tL0l2SNHfu3MOWJCCd\nVNW36M33ajpGYpZvq1W4PSpJGlGcrePHlWjOqGLNHlmsiiH5PM4AQFrz6vLT45I+JemW+Ptjhx5g\nseVKfy9ptXPu1r6NB6SeSNRpzc662H0w8VGYzXubJElBv0/ThhfoU8eP6igxIe6NATDAeFVqbpH0\noJl9VtJ7ki6RJDMbJul3zrlzJZ0o6ZOSVpjZ0vh533TOPelFYKCv1Ta36a1O98Is3VyjxnBEkjQ4\nL1NzRxXrk8eN0uxRRZo6rJC1ZAAMeJ6UGudctaT5XezfLunc+PZLkphTigHBOaeNexq15L19emtz\nbBTmnV0NkiSfSZOHFujC2SM0Z1Sx5owq1ojibJ69BACHYEVhwAPN4YiWba3Rkvf2xadW79O+pjZJ\nUkFWQLNHFevD04dpzqhizSgvUm4m/6oCwJHwNyWQZM45ba9t6SgwS97bp7d31HVMqx5Xmqszp5R1\njMKMHZzHwncA0AOUGqCXhdujWrW9Nn4pKTYas7OuRZKUnXFgWvXsUUWaVV6s4lymVQNAb6DUAL1k\nzc46/edjq7RsS41aO02rnjdmUMcoDNOqASB5KDVAL2hpi+iav7ypmqY2ffK4+LTqUcU8cgAA+hCl\nBugFt/xjjTbsbtSfPztPJ08o9ToOAAxIjIMDR2nRO7t178ub9OkTRlNoAMBDlBrgKNQ0hfX1vy7T\n+FCebjinwus4ADCgUWqAHnLO6Vt/W6nqhrB+celMVvQFAI9RaoAeemzpdj2xfIeuO3Oipg0v9DoO\nAAx4lBqgB7bVNOs7j63UnFHF+vwpY72OAwAQpQZIWDTq9P8eXKZo1OnWS2aw7gwApAj+NgYSdM8/\n39UrG6v1nx+eolEluV7HAQDEUWqABKzdWa8fP7VWZ0wu0yVzy72OAwDopEelxsze7O0gQKprbY/o\nqw8sVUF2QLdcdIzMeOgkAKSSHq0o7Jyb3dtBgFT382fWafWOOv3u3+dqcF6m13EAAIfoVqkxsyGS\n5klykt5wzu1Maiogxby2sVq/XbRBl88r1xlTyryOAwDowhEvP5nZ5yS9LulCSRdLetXMPpPsYECq\nqG9p0/UPLlN5cY6+/aEpXscBABxGd0Zqvi5plnOuWpLMrETSy5LuSWYwIFXc/Pe3taO2WQ994QTl\nZvIMWABIVd25UbhaUn2nz/XxfUDae2rlDv11yVZdc/p4zRlV7HUcAMD76M7/dq6X9JqZPabYPTUX\nSFpuZtdLknPu1iTmAzxTVdeiGx9ZoWOGF+or8yd4HQcAcATdKTUb4q/9Hou/5/d+HCA1OOf0Hw8v\nV1M4op9fOkMZrBoMACnviKXGOXdzXwQBUslfXtus59fu1s3nT9X4EP0dAPqDI5YaMyuV9B+SpkrK\n2r/fOVeZxFyAZzbubtD3n1itkycM1iePG+V1HABAN3VnTP0vktZIGiPpZkmbJL2RxEyAZ9oiUV33\n4DIFAz795OIZ8vlYNRgA+ovulJoS59zvJbU5515wzn1GEqM0SEu/em69lm2p0fc/Ok1DCrOOfAIA\nIGV050bhtvj7DjP7kKTtkgYlLxLgjaVbavTLhev10VnDdd70YV7HAQAkqDul5ntmVijpa5J+KalA\n0nVJTQX0saZwu657YKnK8jN10/lTvY4DAOiB7sx++t/4Zq2k05MbB/DGD55crU3VjfrL5z6gwuwM\nr+MAAHqAxTcw4D23tkr/8+pmfe6kMTph3GCv4wAAeohSgwFtb2NY//HX5ZpUlq+vnTXJ6zgAgKPA\n0/kwYDnn9M1HVqimKaw/XjFPWRl+ryMBAI5Cj0ZqzGx2bwcB+trDb27TU6t26mtnTdKUYQVexwEA\nHKWeXn76Yq+mAPrYlr1NuunxVZo3ZpCuPHms13EAAL2gR6XGOXdlbwcB+kok6vS1B5dJkn72sRny\ns2owAKSFI5YaM/u7mX3czHL7IhCQbHe/uFGvb9qrm86fqvJBOV7HAQD0ku6M1PxU0kmS3jazv5rZ\nxWbG+vHol97eXqef/d9anTNtiC6aPdzrOACAXtSdxfdekPSCmfkVe+bTlZLuUWxlYaDfaGmL6LoH\nlqooJ6jvf/QYmXHZCQDSSbemdNv/396dx9ld1/cef71nJvu+EbKSjcUUA4EEkgxyRYEqIqBVBJcH\nWlv6uLWKWu3F6q1wr7dV22vVahcuVqkLigtChYJAVXQmAjEECARkThbIQpI52ffMzOf+cX6hQ5zl\nN5k553eW9/PxmMec8zu/c37vxMh85vf9fL9faRjwZuAdwDnAbcUMZVYMf3f/czy3dS9ff99ixo8Y\nnHUcMzMbYL0WNZLuAM4D7gO+AvwiIjqKHcxsIDW3tHLrr9bx7iUzuej0k7KOY2ZmRZDmTs3XgGsj\non2gLippPPA9YBawHrg6InZ2c249sALYFBGXD1QGqx27Dx7lY99/gjkTR/CXl70q6zhmZlYkaRqF\nfwl8QtItAJJOldTf4uJG4KGIOBV4KHnenRuANf28ntWwm+5+mq17D/OFd5zN8MFeRNvMrFqlKWq+\nDhwBliXPNwGf6ed1r+S/+nJuA67q6iRJ04E3Abf283pWo37y5GbufHwTH3zdPM6eMTbrOGZmVkRp\nipq5EfF54ChARBwA+jttZHJEbEkevwRM7ua8LwJ/AbiHx/rspd2H+OSdqzlrxlg+cNG8rOOYmVmR\npbkXfySZ/RQAkuYCh3t7k6QHgZO7eOmTnZ9EREiKLt5/ObAtIn4j6bUprnc9cD3AzJkzezvdqlxH\nR+p/ViUAACAASURBVPDxHzzBkbYO/v7qsxhU7w3pzcyqXZqi5tMUZj7NkPRtoBF4b29vioiLu3tN\n0lZJUyJii6QpwLYuTmsErpB0GTAUGC3pWxHx7m6udwtwC8CiRYt+p0iy2vLNX2/gl8+38pmrzmTO\npJFZxzEzsxLo8ddXFVYnexZ4K4VC5nZgUUT8vJ/XvRu4Lnl8HXDX8SdExCciYnpEzAKuAf6zu4LG\nrLOWbXv563vXcNHpk3jX+b5rZ2ZWK3osaiIigHsjIh8R90TETyKidQCu+1ngEknPAxcnz5E0VdK9\nA/D5VqOOtHXw4e+tYvjgej73tgVeNdjMrIakGX5aKWlxRDw2UBeNiDzw+i6ObwYu6+L4z4GfD9T1\nrXr9w38+z+pNe/jnd5/DSaO8RZmZWS1JU9ScD7xL0gZgP4WZTxERC4qazKyPfrNhJ1/9WQtvO3c6\nbzhzStZxzMysxNIUNb9f9BRm/bT/cBsfvWMVU8cO49Nvnp91HDMzy0CaXbo3SDoHuIDCtO6miFhZ\n9GRmffCZe57hhR0H+N71Sxk1dFDWcczMLAO9Lt4h6a8orPo7AZgIfF3Sp4odzCytB5/Zyu2Pvsif\nXDiX82aPzzqOmZllJM3w07uAsyLiEICkzwKr6P9WCWb91rrvMDf+6EleNWU0H7nk1KzjmJlZhtIs\ns7qZwuJ3xwyhsP+TWaYight/+BR7DrXxxXeczZCG+qwjmZlZhtLcqdkNPC3pAQo9NZcAj0r6MkBE\nfKiI+cy6dceKF3lwzVY+9aZXcfrJo7KOY2ZmGUtT1NyZfB3z8+JEMUtvQ34/N//7MyydM4E/bJyd\ndRwzMysDaWY/3VaKIGZptbV38NE7nqC+Tvzfq8+irs6rBpuZWbo7NWZl5V8eXstvNuzkS9eczdSx\nw7KOY2ZmZSJNo7BZ2Vi9aTd//8BvuXzBFK44a2rWcczMrIz0qaiRVCdpdLHCmPXk0NF2Pvy9VUwc\nOYTPXHWmN6s0M7NXSLP43nckjZY0AlgNPCPp48WPZvZKn/2PZ2nZto+/ffsCxg4fnHUcMzMrM2nu\n1MyPiD3AVcB/ALOB9xQ1ldlxfvn8dr7RvJ73LpvFa06dlHUcMzMrQ2mKmkGSBlEoau6OiKMU1qsx\nK4ldB47wse8/wdxJI7jxjWdkHcfMzMpUmqLmX4D1wAjgYUmnAHuKGcqss/9519Pk9x3hS9csZOgg\nrxpsZmZdS1PUfDUipkXEZRERwAvARUXOZQbAXas28e9PbOYjl5zGmdPGZB3HzMzKWJqiZp2kWyS9\nXpKioK3oyazmbd51kE/9eDXnnjKOP7lwTtZxzMyszKUpas4AHgQ+QKHA+YqkC4oby2pdR0fwse8/\nQUdH8IWrz6Kh3ksqmZlZz3r9SRERByLijoh4K7AQGA38oujJrKb9a9M6mnN5/urN8zllwois45iZ\nWQVI9euvpP8m6R+B3wBDgauLmspq2p5DR/nb+5/j4ledxNWLZmQdx8zMKkSvez9JWg88DtwBfDwi\n9hc7lNW2R9fu4HBbB++/YI5XDTYzs9TSbGi5IFl8z6wkmnKtDGmo45xTxmYdxczMKkianhoXNFZS\nzS15Fs8az5AGr0ljZmbpeUqJlZXtew/z3Na9LJs3IesoZmZWYVzUWFlZvjYPQOPciRknMTOzSpOm\nUXgI8AfArM7nR8T/Kl4sq1XNLa2MGtrg1YPNzKzP0jQK3wXspjCd+3Bx41ita87lWTJnAvV1nvVk\nZmZ9k6aomR4Rbyh6Eqt5L+44wAs7DvC+xllZRzEzswqUpqemWdKri57Eal5zrhWAxnnupzEzs75L\nc6fmAuC9ktZRGH4SEBGxoKjJrOY05/JMHDmEU08amXUUMzOrQGmKmjcWPYXVvIigOZdn2dwJXkXY\nzMxOSLdFjaTRycJ7e0uYx2rU89v2sX3vYRq9Po2ZmZ2gnu7UfAe4nMKsp6Aw7HRMAHOKmMtqTHNL\noZ9mmdenMTOzE9RtURMRlyffZ5cujtWqplyeGeOHMWP88KyjmJlZhUrTU4OkccCpwNBjxyLi4WKF\nstrS3hH8em2eN716StZRzMysgqVZUfiPgBuA6cAqYAmwHHhdcaNZrVi9aTd7D7WxzFO5zcysH9Ks\nU3MDsBjYEBEXAQuBXUVNZTWlKVmfZukcNwmbmdmJS1PUHIqIQ1DYByoingVOL24sqyXLc3lOnzyK\nSaOGZB3FzMwqWJqemo2SxgI/Bh6QtBPYUNxYVisOt7Xz2PodXHvezKyjmJlZheu1qImItyQPb5L0\nM2AMcF9/LippPPA9Cjt/rweujoidXZw3FrgVOJPCNPI/jIjl/bm2lZeVG3Zx6GiHp3KbmVm/9Tr8\nJGn8sS/gKeBXFAqM/rgReCgiTgUeSp535UvAfRFxBnAWsKaf17UyszzXSp3g/Dnjs45iZmYVLk1P\nzUpgO/Bb4Pnk8XpJKyWde4LXvRK4LXl8G3DV8SdIGgNcCHwNICKORIQblKtMUy7Pq6ePZfTQQVlH\nMTOzCpemqHkAuCwiJkbEBAp7Qf0E+FPgH0/wupMjYkvy+CVgchfnzKZQQH1d0uOSbpU04gSvZ2Vo\n3+E2nnhxF41zPevJzMz6L01RsyQi7j/2JCJ+CiyNiF8D3U5XkfSgpNVdfF3Z+byICLoezmoAzgH+\nKSIWAvvpfpgKSddLWiFpxfbt21P8sSxrj63bQVtH0Oj1aczMbACkmf20RdL/AL6bPH8HsFVSPdDR\n3Zsi4uLuXpO0VdKUiNgiaQqwrYvTNgIbI+KR5PkP6KGoiYhbgFsAFi1a1N+eHyuBppZWBjfUce4p\n47KOYmZmVSDNnZp3UlhN+MfAncCM5Fg9cPUJXvdu4Lrk8XXAXcefEBEvAS9KOrYmzuuBZ07welaG\nmnJ5zp05jqGD6rOOYmZmVSDNlO5W4IPdvNxygtf9LHCHpPdTWPPmagBJU4FbI+Ky5LwPAt+WNBhY\nC7zvBK9nZWbH/iOs2bKHj116WtZRzMysSqTa0HKgRUSewp2X449vBi7r9HwVsKiE0axElufyACz1\n+jRmZjZA0gw/mQ245lwrI4c0cNb0MVlHMTOzKuGixjLRnMtz/uzxNNT7n6CZmQ2MNCsKnybpIUmr\nk+cLJH2q+NGsWm3edZB1rftZ6vVpzMxsAKX5Nfn/AZ8AjgJExJPANcUMZdWtOemn8fo0ZmY2kNIU\nNcMj4tHjjrUVI4zVhuaWVsaPGMzpk0dlHcXMzKpImqKmVdJcklV/Jb0N2NLzW8y6FhE05VpZOncC\ndXXKOo6ZmVWRNFO6P0Bhpd4zJG0C1gHvLmoqq1prW/ezdc9hGj2V28zMBliaxffWAhcnm0nWRcTe\n4seyatXc0grAMjcJm5nZAOu2qJH00W6OAxARXyhSJqtiTS15po0dxikThmcdxczMqkxPd2qOdXGe\nDiymsF8TwJuB4xuHzXrV0REsX5vn0vmTXy6OzczMBkq3RU1E3Awg6WHgnGPDTpJuAu4pSTqrKs9s\n2cPug0dZNs9DT2ZmNvDSzH6aDBzp9PxIcsysT5pe7qdxk7CZmQ28NLOf/g14VNKdyfOrgNuKF8mq\nVXMuz7yTRjJ59NCso5iZWRVKM/vp/0j6D+A1yaH3RcTjxY1l1eZIWwePrtvB2xdNzzqKmZlVqV6L\nGkkzgVbgzs7HIuKFYgaz6vLExl0cPNruoSczMyuaNMNP95CsJgwMA2YDzwG/V6xQVn2aWlqRYOkc\nNwmbmVlxpBl+enXn55LOAf60aImsKjW35Dlz6hjGDB+UdRQzM6tSaWY/vUJErATOL0IWq1IHjrTx\n+Is7PZXbzMyKKk1PTeeVheuAc4DNRUtkVeex9Ts52h7upzEzs6JK01MzqtPjNgo9Nj8sThyrRs0t\nrQyqF4tnjcs6ipmZVbE0Rc0zEfH9zgckvR34fjfnm71Ccy7PwpnjGD44zT83MzOzE5Omp+YTKY+Z\n/Y5dB46wevNu78ptZmZF19Mu3W8ELgOmSfpyp5dGUxiGMuvVr9fmiYDGee6nMTOz4uppPGAzsAK4\nAvhNp+N7gY8UM5RVj+ZcnuGD6zlr+tiso5iZWZXraZfuJ4AnJH07Inxnxk5IU0sri2eNZ3BDn1cP\nMDMz65Oehp/uiIirgcclxfGvR8SCoiazivfS7kPktu/nHYtnZB3FzMxqQE/DTzck3y8vRRCrPsvX\ntgJ4fRozMyuJnoaftiTfN5QujlWTppY8Y4cPYv6U0VlHMTOzGtBro4Okt0p6XtJuSXsk7ZW0pxTh\nrHJFBMtzeZbOmUBdnbKOY2ZmNSBN9+bngSsiYkxEjI6IURHhX72tRxvyB9i06yDLPJXbzMxKJE1R\nszUi1hQ9iVWVptyxfhovumdmZqWRZt36FZK+B/wYOHzsYET8qGiprOI15/KcPHoocyaOyDqKmZnV\niDRFzWjgAHBpp2MBuKixLnV0FPppXnvaJCT305iZWWn0WtRExPtKEcSqx7Mv7WXH/iPupzEzs5Lq\ntag5bt+nY3YDKyLiroGPZJWu2f00ZmaWgTSNwkOBs4Hnk68FwHTg/ZK+WMRsVqGac3lmTxzB1LHD\nso5iZmY1JE1PzQKgMSLaAST9E/BL4ALgqSJmswp0tL2DR9bmuWrhtKyjmJlZjUlzp2YcMLLT8xHA\n+KTIOdz1W6xWPblxN/uPtNPofhozMyuxNHdqPg+skvRzQMCFwF9LGgE8WMRsVoGaWwr9NEvmuJ/G\nzMxKK83sp69Juhc4Lzn0lxGxOXn88aIls4rUlGtl/pTRjB8xOOsoZmZWY9IMPwEcArYAO4F5ki7s\nz0UljZf0QLKn1AOSxnVz3kckPS1ptaTbJQ3tz3WtuA4dbWflhl00zvNdGjMzK700G1r+EfAwcD9w\nc/L9pn5e90bgoYg4FXgoeX78dacBHwIWRcSZQD1wTT+va0W0Yv1OjrR3sGyu+2nMzKz00typuQFY\nDGyIiIuAhcCufl73SuC25PFtwFXdnNcADJPUAAwHNndznpWB5lwrDXVi8ezxWUcxM7MalKaoORQR\nhwAkDYmIZ4HT+3ndyRGxJXn8EjD5+BMiYhPwd8ALFIa+dkfET7v7QEnXS1ohacX27dv7Gc9ORFMu\nz1kzxjJySJr+czMzs4GVpqjZKGkshQ0tH5B0F7ChtzdJejDphTn+68rO50VEUNhL6vj3j6NwR2c2\nMBUYIend3V0vIm6JiEURsWjSpEkp/lg2kHYfPMpTG3fR6FWEzcwsI2lmP70leXiTpJ8BY4D7Urzv\n4u5ek7RV0pSI2CJpCrCti9MuBtZFxPbkPT8ClgHf6u3aVnqPrttBR+D9nszMLDOpZj9JGidpAbAX\n2Aic2c/r3g1clzy+DuhqD6kXgCWShquw1fPrgTX9vK4VSVNLK0MH1bFw5tiso5iZWY1Ks6Hl/wbe\nC6wFOpLDAbyuH9f9LHCHpPdTGMq6OrnWVODWiLgsIh6R9ANgJdAGPA7c0o9rWhE151pZPGs8Qxrq\ns45iZmY1Kk1H59XA3Ig4MlAXjYg8hTsvxx/fDFzW6fmngU8P1HWtOLbvPcxvt+7jLQunZx3FzMxq\nWJrhp9WAxxSsW825wtYIy9wkbGZmGUpzp+ZvgMclrabTBpYRcUXRUllFaW7JM3poA2dOG5N1FDMz\nq2FpiprbgM8BT/FfPTVmL2te28qSOROor1PWUczMrIalKWoORMSXi57EKtKLOw7w4o6DvL9xdtZR\nzMysxqUpan4p6W8oTMPuPPy0smiprGI0tRT6aRq9Po2ZmWUsTVGzMPm+pNOx/k7ptirRnMszadQQ\n5p00MusoZmZW49KsKHxRKYJY5YkImnN5GudNoLA+opmZWXZSrShs1pXnt+2jdd9hGud66MnMzLLn\nosZO2LF+mqVen8bMzMqAixo7YU0teWaOH86M8cOzjmJmZpaqURhJy4BZnc+PiH8rUiarAG3tHTyy\nNs/lZ03JOoqZmRmQbkPLbwJzgVVAe3I4ABc1NWz15j3sPdzGUvfTmJlZmUhzp2YRMD8iothhrHIc\n66fxfk9mZlYu0m5oeXKxg1hlWZ7Lc8bJo5g4ckjWUczMzIB0d2omAs9IehRvaGnAoaPtPLZ+B+88\nf2bWUczMzF6Wpqi5qdghrLKsfGEnh9s6vD6NmZmVlTQrCv+iFEGscizP5amvE+fPGZ91FDMzs5f1\n2lMjaYmkxyTtk3REUrukPaUIZ+WpqaWVV08bw6ihg7KOYmZm9rI0jcJfAa4FngeGAX8EfLWYoax8\n7T10lCc27qZxnmc9mZlZeUm1onBEtAD1EdEeEV8H3lDcWFauHlu/g/aOcD+NmZmVnTSNwgckDQZW\nSfo8sAVvr1CzmlryDG6o45xTxmUdxczM7BXSFCfvSc77M2A/MAP4g2KGsvLV1NLKolPGMXRQfdZR\nzMzMXiHN7KcNkoYBUyLi5hJksjKV33eYZ1/ay8cuPS3rKGZmZr8jzeynN1PY9+m+5PnZku4udjAr\nP8vX5gFYNs/9NGZmVn7SDD/dBJwH7AKIiFXA7CJmsjLVnMszckgDC6aNyTqKmZnZ70hT1ByNiN3H\nHfPmljWouaWV82ePp6HefeJmZlZ+0vx0elrSO4F6SadK+geguci5rMxs2nWQ9fkDHnoyM7Oylaao\n+SDwexQ2s7wd2AN8uJihrPw0t7QCeNE9MzMrW2lmPx0APpl8WY1qzuWZMGIwp500KusoZmZmXeq2\nqOlthlNEXDHwcawcRQRNLa0snTuBujplHcfMzKxLPd2pWQq8SGHI6RHAP81qVG77frbtPUyj+2nM\nzKyM9VTUnAxcQmEzy3cC9wC3R8TTpQhm5aM5V+inWTbX/TRmZla+um0UTjavvC8irgOWAC3AzyX9\nWcnSWVloamll2thhzBw/POsoZmZm3eqxUVjSEOBNFO7WzAK+DNxZ/FhWLto7gl+v3cGl8ycjeQTS\nzMzKV0+Nwv8GnAncC9wcEatLlsrKxjOb97D74FH305iZWdnr6U7Nuynsyn0D8KFOv6ULiIgYXeRs\nVgaa3E9jZmYVotuiJiK8Fr7RnMsz76SRnDR6aNZRzMzMeuTCxbp1pK2Dx9btoNF3aczMrAK4qLFu\nrXpxFwePtnu/JzMzqwiZFDWS3i7paUkdkhb1cN4bJD0nqUXSjaXMaIWp3HWCJbN9p8bMzMpfVndq\nVgNvBR7u7gRJ9cBXgTcC84FrJc0vTTyDwqJ7Z04bw5jhg7KOYmZm1qtMipqIWBMRz/Vy2nlAS0Ss\njYgjwHeBK4ufzgAOHGnj8Rd2sWyuh57MzKwylHNPzTQKe08dszE5ZiXw6LodtHWEp3KbmVnF6HFF\n4f6Q9CCF/aOO98mIuKsI17seuB5g5syZA/3xNac5l2dwfR2LZ43POoqZmVkqRStqIuLifn7EJmBG\np+fTk2PdXe8W4BaARYsWRT+vXfOac60snDmWYYPrs45iZmaWSjkPPz0GnCpptqTBwDXA3Rlnqgm7\nDhzh6c173E9jZmYVJasp3W+RtBFYCtwj6f7k+FRJ9wJERBvwZ8D9wBrgjoh4Oou8tWZ5Lk8ENM5z\nP42ZmVWOog0/9SQi7qSL3b4jYjNwWafn91LYUNNKqDmXZ/jgehZMH5t1FDMzs9TKefjJMtKUa+W8\n2eMZ3OB/HmZmVjn8U8te4aXdh1i7fT+N7qcxM7MK46LGXqE51wrAUq9PY2ZmFcZFjb1CU0ueccMH\nMX/K6KyjmJmZ9YmLGntZRLA818rSuROoq1PWcczMzPrERY29bH3+AJt3H2Kp+2nMzKwCuaixlzW1\nFPppGt1PY2ZmFchFjb1seS7PlDFDmT1xRNZRzMzM+sxFjQHQ0RE0J/00kvtpzMys8rioMQDWvLSH\nnQeOen0aMzOrWC5qDCgMPQEs835PZmZWoVzUGFBoEp4zcQRTxgzLOoqZmdkJcVFjHG3v4NF1O3yX\nxszMKpqLGuPJjbvYf6SdZe6nMTOzCuaixmhqySPB0jm+U2NmZpXLRY3R1NLK/CmjGTdicNZRzMzM\nTpiLmhp38Eg7j7+wi2VeRdjMzCqci5oat2LDDo60d7BsnvtpzMyssrmoqXHNuTwNdeK8WeOzjmJm\nZtYvLmpqXHNLK2fPGMuIIQ1ZRzEzM+sXFzU1bPfBozy1abeHnszMrCq4qKlhj6zN0xHQ6CZhMzOr\nAi5qalhzLs/QQXWcPXNs1lHMzMz6zUVNDWtqaWXxrPEMaajPOoqZmVm/uaipUdv2HuL5bfu8NYKZ\nmVUNFzU1ankuD0CjN7E0M7Mq4aKmRjW1tDJ6aAO/N3VM1lHMzMwGhIuaGtWcy7NkzgTq65R1FDMz\nswHhoqYGvZA/wMadB2n0+jRmZlZFXNTUoKZcK+B+GjMzqy4uampQcy7PSaOGMHfSyKyjmJmZDRgX\nNTUmIliea2XZ3AlI7qcxM7Pq4aKmxvx26z5a9x3xfk9mZlZ1XNTUmKaWQj/NMu/3ZGZmVcZFTY1p\nzrVyyoThTB83POsoZmZmA8pFTQ1pa+/gkbU7vDWCmZlVJRc1NeSpTbvZe7jNQ09mZlaVXNTUkOZk\nv6elLmrMzKwKuaipIc25Vs44eRQTRw7JOoqZmdmAc1FTIw4dbWfF+p3upzEzs6qVSVEj6e2SnpbU\nIWlRN+fMkPQzSc8k595Q6pzVZOWGnRxu6/DWCGZmVrWyulOzGngr8HAP57QBfx4R84ElwAckzS9F\nuGrUnMtTXyfOmz0+6yhmZmZF0ZDFRSNiDdDjMv0RsQXYkjzeK2kNMA14phQZq01TrpUF08cwauig\nrKOYmZkVRUX01EiaBSwEHsk2SWXae+goT27cTaP7aczMrIoV7U6NpAeBk7t46ZMRcVcfPmck8EPg\nwxGxp4fzrgeuB5g5c2Yf01a3R9ftoL0jvD6NmZlVtaIVNRFxcX8/Q9IgCgXNtyPiR71c7xbgFoBF\nixZFf69dTZpa8gxpqOOcU8ZlHcXMzKxoynb4SYWGm68BayLiC1nnqWTNuVYWzRrH0EH1WUcxMzMr\nmqymdL9F0kZgKXCPpPuT41Ml3Zuc1gi8B3idpFXJ12VZ5K1krfsO8+xLe70+jZmZVb2sZj/dCdzZ\nxfHNwGXJ418B3U+PslSWJ1sjuJ/GzMyqXdkOP9nAaM7lGTWkgVdPG5N1FDMzs6JyUVPlJo0awpUL\np9JQ7/+pzcysumUy/GSl89FLTss6gpmZWUn413czMzOrCi5qzMzMrCq4qDEzM7Oq4KLGzMzMqoKL\nGjMzM6sKLmrMzMysKrioMTMzs6rgosbMzMyqgosaMzMzqwouaszMzKwquKgxMzOzquCixszMzKqC\nixozMzOrCoqIrDMMOEnbgQ1F+OiJQGsRPrfYnLt0KjEzOHcpVWJmcO5SqsTMUNzcp0TEpN5Oqsqi\nplgkrYiIRVnn6CvnLp1KzAzOXUqVmBmcu5QqMTOUR24PP5mZmVlVcFFjZmZmVcFFTd/cknWAE+Tc\npVOJmcG5S6kSM4Nzl1IlZoYyyO2eGjMzM6sKvlNjZmZmVcFFTQqS/lXSNkmrs87SF5JmSPqZpGck\nPS3phqwz9UbSUEmPSnoiyXxz1pn6QlK9pMcl/STrLGlJWi/pKUmrJK3IOk8aksZK+oGkZyWtkbQ0\n60y9kXR68nd87GuPpA9nnas3kj6S/H9xtaTbJQ3NOlMakm5IMj9dzn/PXf18kTRe0gOSnk++j8sy\nY1e6yf325O+7Q1Ims6Bc1KTzDeANWYc4AW3An0fEfGAJ8AFJ8zPO1JvDwOsi4izgbOANkpZknKkv\nbgDWZB3iBFwUEWdnPR2zD74E3BcRZwBnUQF/5xHxXPJ3fDZwLnAAuDPjWD2SNA34ELAoIs4E6oFr\nsk3VO0lnAn8MnEfh38flkuZlm6pb3+B3f77cCDwUEacCDyXPy803+N3cq4G3Ag+XPE3CRU0KEfEw\nsCPrHH0VEVsiYmXyeC+F//BPyzZVz6JgX/J0UPJVEY1fkqYDbwJuzTpLNZM0BrgQ+BpARByJiF3Z\npuqz1wO5iCjGIqEDrQEYJqkBGA5szjhPGq8CHomIAxHRBvyCwg/bstPNz5crgduSx7cBV5U0VApd\n5Y6INRHxXEaRABc1NUPSLGAh8Ei2SXqXDOGsArYBD0RE2WdOfBH4C6Aj6yB9FMCDkn4j6fqsw6Qw\nG9gOfD0Z6rtV0oisQ/XRNcDtWYfoTURsAv4OeAHYAuyOiJ9mmyqV1cBrJE2QNBy4DJiRcaa+mBwR\nW5LHLwGTswxTSVzU1ABJI4EfAh+OiD1Z5+lNRLQnt+inA+clt5LLmqTLgW0R8Zuss5yAC5K/7zdS\nGKK8MOtAvWgAzgH+KSIWAvspz9vzXZI0GLgC+H7WWXqT9HJcSaGQnAqMkPTubFP1LiLWAJ8Dfgrc\nB6wC2jMNdYKiMEW5Iu5WlwMXNVVO0iAKBc23I+JHWefpi2RI4WdURj9TI3CFpPXAd4HXSfpWtpHS\nSX4bJyK2UejxOC/bRL3aCGzsdAfvBxSKnErxRmBlRGzNOkgKFwPrImJ7RBwFfgQsyzhTKhHxtYg4\nNyIuBHYCv806Ux9slTQFIPm+LeM8FcNFTRWTJAp9B2si4gtZ50lD0iRJY5PHw4BLgGezTdW7iPhE\nREyPiFkUhhb+MyLK/jdaSSMkjTr2GLiUwq37shURLwEvSjo9OfR64JkMI/XVtVTA0FPiBWCJpOHJ\nf09eTwU0ZQNIOin5PpNCP813sk3UJ3cD1yWPrwPuyjBLRWnIOkAlkHQ78FpgoqSNwKcj4mvZpkql\nEXgP8FTSowLwlxFxb4aZejMFuE1SPYWi+46IqJjp0RVoMnBn4ecVDcB3IuK+bCOl8kHg28lQzlrg\nfRnnSSUpHC8B/iTrLGlExCOSfgCspDCb8nHKYNXYlH4oaQJwFPhAuTaTd/XzBfgscIek9wMbgKuz\nS9i1bnLvAP4BmATcI2lVRPx+SXN5RWEzMzOrBh5+MjMzs6rgosbMzMyqgosaMzMzqwouaszM2nmI\nigAAAlBJREFUzKwquKgxMzOzquCixsxKRtJVkkLSGQP4me+VNHWgPs/MKpeLGjMrpWuBXyXf+y1Z\nz+i9FJbw78v7vEaXWRVyUWNmJZHsQXYB8H4Kqy4j6bWSHpZ0j6TnJP2zpLrktUslLZe0UtL3k/cj\nab2kz0laSaE4WkRhIb5VkoYlr09Mzl0k6efJ45skfVNSE/DNZOPUv5X0mKQnJVXEgnhm1j0XNWZW\nKlcC90XEb4G8pHOT4+dRWCF4PjAXeGtSlHwKuDgizgFWAB/t9Fn5iDgnIr6VvPauiDg7Ig72kmF+\n8pnXUiiudkfEYmAx8MeSZg/MH9XMsuBbsGZWKtcCX0oefzd5/hPg0YhYCy8vvX4BcIhCAdKUbOEw\nGFje6bO+d4IZ7u5U+FwKLJD0tuT5GOBUYN0JfraZZcxFjZkVnaTxwOuAV0sKoB4I4J7ke2cBCHgg\nuaPSlf09XK6N/7oLPbSH9wn4YETc3/ufwMwqgYefzKwU3gZ8MyJOiYhZETGDwh2R1wDnSZqd9NK8\ng0Ij8a+BRknz4OXdxE/r5rP3AqM6PV8PHBva+oMeMt0P/HdJg5JrnJZsOGlmFcpFjZmVwrXAnccd\n+2Fy/DHgK8AaCoXOnRGxncKsptslPUlh6Km7aeDfAP75WKMwcDPwJUkrgPYeMt0KPAOslLQa+Bd8\n99qsonmXbjPLjKTXAh+LiMuzzmJmlc93aszMzKwq+E6NmZmZVQXfqTEzM7Oq4KLGzMzMqoKLGjMz\nM6sKLmrMzMysKrioMTMzs6rgosbMzMyqwv8HkE970bppUtwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7b8d9dd8>"
      ]
     },
     "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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IcLJm+Xe8+cKTfPjOP3E5HUyeuTfHnX4OBxx6FGaLxe/ztzY3ce+NV/Lx+28z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\n7zGRe274E63NjX0e6/Fqapojqyib0+P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R/YwaM445Dz1KJALjq8sGZR+IMVeWcNXw4p43\n7KUry/KZ1BDTTMIiIj5QcZIlkYgx+ooSmurKL3k0du6jSykrj/Hkwrn8q/WU5/6n2jt4eO59dJz/\nmEXLV1FYkE9jbUVWmziCpmFoEddUlWZ0NNmciDG2qpTx1WVE1YwjIuILfftmWWVxHtePqqQy0bGz\ntDzGgz9ZweED+3nyp4/T0ZV6SPvHFi9l5/bX+N4ji7l6zGeZWB8j1sO4KoNBdXkBn6spz0hfm+L8\nKJMaYlSVD4wJCEVEwkrFiQ9yoxGa6iq4+ooSIhGYfONXmD7rW2xY8yu2vLztE9tv3fY6K1cs5Yu3\nzODrs+9iYn0FxXkD51HhvhpWkkdTXTnRPowmWxMrYFJ9jCLlVUTEd5pbx2dnz3ey52gbJz48zX13\nTCM3L499e3ZTUhzvR3LmzBnGXdvIhc4LbHj5NW4YO1LNDR7aO7rYeeQUHZ3pTwkQzTHGjigN9Ui6\nIiJhobl1QqIkfwiTGyoZXTOcBUueouXdQ8x/aMH//37Pvd+lteU9lq9cw9Rx9SpMLqM4LxofTTYv\nvXFeyi7OJKzCREQkUHQPOwAudsKsnHU7f3llDs88vZLZ35hFa2srmzauY96ChXy7+Va/wwyF/CE5\nTBwZ482W07R91Om5Xf3QQq4apgn7RESCSM06AXOy7SxNjU10dZ6nra2N8ddO4PVXtxGNqo78NP7z\nX8fultN82H7p4Ha50Qjjqko1YZ+IiA/UrBNSsbIS1q39HR8cO8aQaJSN659XYdILORGjsfbS0WQr\nijSTsIhIGOiqF0BTpkxh8+bNVFVVUVdX53c4oWUWH002f0iEnEiE+spCNeOIiISAipOAam5u9juE\nAeMzw0v8DkFERD4FNeuIiIhIoKg4ERERkUBRcSIiIiKBouJEREREAkXFiYiIiASKihMREREJFBUn\nIiIiEigqTkRERCRQVJyIiIhIoAR64j8zOwG81w8fPRT4dz987mCkXGaOcpk5ymXmKJeZo1zCSOfc\nsJ42CnRx0l/M7I10ZkWUnimXmaNcZo5ymTnKZeYol+lTs46IiIgEiooTERERCZTBWpw87XcAA4hy\nmTnKZeYol5mjXGaOcpmmQdnnRERERIJrsN45ERERkYAaUMWJmf3GzI6b2d6kdcvM7C0z221mvzez\nco99HzCzf5rZXjNbZ2b52Ys8eDxy+Xgij7vMbKuZVXnsO93M3jazg2b2SPaiDqbe5tLMas3sFTPb\nlzg352c38uDpy3mZ2DbHzHaa2UvZiTi4+vg/Xm5mLyS+W/eb2eezF3nw9DGXuvak4pwbMAswFbgO\n2Ju07hYgmnj9BPBEiv2qgcNAQeL9RuBuv48ngLksTXo9D1iVYr8c4B1gFJALvAmM9ft4QprLEcB1\nidclwAHlsne5TPr7g8DzwEt+H4vfS19yCfwWmJN4nQuU+308Ycylrj3ey4C6c+KcexU42W3dVudc\nV+LtdqDGY/coUGBmUaAQaO23QEPAI5dnkt4WAak6LE0CDjrnDjnnLgDrgeZ+CzQEeptL59wx59w/\nEq/PAvuJf5kNWn04LzGzGuB2YHW/BRgivc2lmZURvxivSexzwTl3uh9DDby+nJfo2pNS1O8Asuwe\nYEP3lc65o2a2HDgCfAxsdc5tzXZwYWBmS4C7gDbgSyk2qQbeT3rfAkzOQmihk0Yuk7etB5qAv/Z7\nYCGUZi5/ATxM/C6UeEgjlw3ACeAZM5sA7ADmO+fOZS/KcOgpl7r2eBtQd04ux8wWAV3A2hR/qyD+\n674BqAKKzOzO7EYYDs65Rc65WuJ5/L7f8YRZurk0s2JgE3B/t19jktBTLs1sBnDcObcj68GFTBrn\nZZR4E8ZK51wTcA4Y9H3LUknjvNS1x8OgKE7M7G5gBjDbJRr2urkZOOycO+Gc6wQ2A1OyGGIYrQVm\npVh/FKhNel+TWCfevHKJmQ0hXpisdc5tzmpU4eSVyy8AM83sXeJNjV82s+eyGVgIeeWyBWhxzl28\ni/cC8WJFvHnlUtceDwO+ODGz6cRv5c50zn3ksdkR4HozKzQzA24i3r4vScxsdNLbZuCtFJv9HRht\nZg1mlgt8E9iSjfjCJJ1cJs7FNcB+59zPsxVb2KSTS+fcD51zNc65euLn5J+dc/qF2k2aufwAeN/M\nxiRW3QTsy0J4oZLm96WuPV787pGbyQVYBxwDOolX998BDhLvA7ErsaxKbFsF/Clp3x8TP3n2As8C\neX4fTwBzuSmRn93AH4Fqj1zeRvzJkneARX4fi99Lb3MJ3EC8E93upPP3Nr+PJ4y57PYZ09DTOn39\nH28E3khs9yJQ4ffxhDiXuvakWDRCrIiIiATKgG/WERERkXBRcSIiIiKBouJEREREAkXFiYiIiASK\nihMREREJFBUnIiIiEigqTkRERCRQVJyIiIhIoPwPkr2Oo4eWoGMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7b7e45c0>"
      ]
     },
     "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: -0.3375415802001953\n",
      "Number of source used: 1261\n",
      "RMS: 0.06273244499184624\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_XMM-LSS.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=\"table140305768604896-373910\" 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>103691461</td><td>35.428134</td><td>-2.50361</td><td>0.00130688818172</td><td>24.2956676483</td><td>0.243045598269</td><td>24.09882164</td><td>0.134265065193</td><td>23.6675376892</td><td>0.189819991589</td><td>23.5779094696</td><td>0.102682292461</td><td>22.913520813</td><td>0.171074956656</td><td>23.1663179398</td><td>0.122909717262</td><td>24.1746444702</td><td>1.07574772835</td><td>23.1079425812</td><td>0.232985913754</td><td>23.0035190582</td><td>0.896527409554</td><td>22.7978954315</td><td>0.449541777372</td><td>0.694597059873</td><td>0.15548782221</td><td>False</td><td>0.832666982397</td><td>0.102969843122</td><td>1.23875358488</td><td>0.216572123165</td><td>False</td><td>1.34535287811</td><td>0.127235250228</td><td>2.48079955202</td><td>0.39088930992</td><td>False</td><td>1.96549898597</td><td>0.222502412266</td><td>0.776501344276</td><td>0.769357744085</td><td>False</td><td>2.07406788799</td><td>0.445069990254</td><td>2.28345457576</td><td>1.88552210626</td><td>False</td><td>2.75957262058</td><td>1.14258249399</td></tr>\n",
       "<tr><td>1</td><td>103712808</td><td>34.909897</td><td>-2.898837</td><td>0.0192726999521</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>22.3301410675</td><td>0.101866133511</td><td>22.6899528503</td><td>0.0969032868743</td><td>21.8867607117</td><td>0.11324069649</td><td>22.1681127548</td><td>0.0970158353448</td><td>21.6441650391</td><td>0.0988481193781</td><td>22.0809631348</td><td>0.0989340767264</td><td>21.2037563324</td><td>0.205836683512</td><td>22.1751976013</td><td>0.35303068161</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>4.24564397571</td><td>0.398335557177</td><td>False</td><td>3.04802735173</td><td>0.272040176583</td><td>6.38698233994</td><td>0.66615290664</td><td>False</td><td>4.92895550944</td><td>0.440426260108</td><td>7.98608603111</td><td>0.727073097413</td><td>False</td><td>5.34090368363</td><td>0.486671967379</td><td>11.9811213536</td><td>2.2714120367</td><td>False</td><td>4.89689688939</td><td>1.59224205572</td></tr>\n",
       "<tr><td>2</td><td>103715270</td><td>35.053661</td><td>-2.955808</td><td>0.7052744627</td><td>23.4757575989</td><td>0.205678418279</td><td>23.4036655426</td><td>0.146054282784</td><td>23.1881637573</td><td>0.196538567543</td><td>23.0295372009</td><td>0.114091619849</td><td>23.3223457336</td><td>0.471913278103</td><td>23.2229661942</td><td>0.279099047184</td><td>22.9233150482</td><td>0.325737118721</td><td>22.8071231842</td><td>0.192906111479</td><td>28.8938522339</td><td>240.407028198</td><td>22.9030570984</td><td>0.666915178299</td><td>1.47807666427</td><td>0.280002148836</td><td>False</td><td>1.57955147333</td><td>0.212482789601</td><td>1.92634689428</td><td>0.34870483045</td><td>False</td><td>2.22938523047</td><td>0.23426885011</td><td>1.70240037603</td><td>0.739945245056</td><td>False</td><td>1.86557847547</td><td>0.479565084659</td><td>2.45852133088</td><td>0.737593211983</td><td>False</td><td>2.7362181939</td><td>0.486152354162</td><td>0.0100567836297</td><td>2.22680376234</td><td>False</td><td>2.50482368173</td><td>1.53859190197</td></tr>\n",
       "<tr><td>3</td><td>103725644</td><td>35.211781</td><td>-3.160368</td><td>0.711470842361</td><td>24.0283679962</td><td>0.179787889123</td><td>23.7936229706</td><td>0.131282672286</td><td>23.817117691</td><td>0.181114152074</td><td>23.8469009399</td><td>0.149006605148</td><td>23.2522773743</td><td>0.198343798518</td><td>23.147105217</td><td>0.139948293567</td><td>23.9467086792</td><td>0.692761898041</td><td>23.3429851532</td><td>0.31362169981</td><td>22.3641014099</td><td>0.43583086133</td><td>22.5079307556</td><td>0.411849558353</td><td>0.888490526495</td><td>0.147125826296</td><td>False</td><td>1.10293726822</td><td>0.133362552801</td><td>1.07932670738</td><td>0.180044969082</td><td>False</td><td>1.05012167841</td><td>0.144118862028</td><td>1.81588796494</td><td>0.331728936616</td><td>False</td><td>2.00058916882</td><td>0.257870225823</td><td>0.957891960588</td><td>0.611189946349</td><td>False</td><td>1.67034406663</td><td>0.482489340549</td><td>4.11490142646</td><td>1.65178339372</td><td>False</td><td>3.60435615215</td><td>1.36723126935</td></tr>\n",
       "<tr><td>4</td><td>103708890</td><td>35.351739</td><td>-2.827422</td><td>0.000912753748707</td><td>21.4974365234</td><td>0.0420480035245</td><td>22.2696933746</td><td>0.031107256189</td><td>19.7515277863</td><td>0.0112837823108</td><td>20.5022640228</td><td>0.00777992606163</td><td>18.9294719696</td><td>0.00960090570152</td><td>19.722237587</td><td>0.00645610783249</td><td>18.5355224609</td><td>0.00959782674909</td><td>19.3137779236</td><td>0.00631942227483</td><td>18.4356079102</td><td>0.0263288356364</td><td>19.2165851593</td><td>0.0178856495768</td><td>9.14166685817</td><td>0.35403520541</td><td>False</td><td>4.48872139092</td><td>0.128605646249</td><td>45.644545342</td><td>0.474372237987</td><td>False</td><td>22.8609561628</td><td>0.16381193504</td><td>97.3220418849</td><td>0.860595550486</td><td>False</td><td>46.8926703968</td><td>0.278837654403</td><td>139.891399714</td><td>1.23662949827</td><td>False</td><td>68.3107149213</td><td>0.39759589078</td><td>153.375798213</td><td>3.71932534261</td><td>False</td><td>74.7077980756</td><td>1.23068337519</td></tr>\n",
       "<tr><td>5</td><td>103691487</td><td>34.740635</td><td>-2.496737</td><td>0.47130510211</td><td>23.8956108093</td><td>0.1376285851</td><td>23.7909297943</td><td>0.109668537974</td><td>23.9438972473</td><td>0.213268235326</td><td>23.5215492249</td><td>0.112186484039</td><td>23.1297798157</td><td>0.187075033784</td><td>22.9294862747</td><td>0.117079600692</td><td>23.009437561</td><td>0.279541820288</td><td>23.0330429077</td><td>0.218400627375</td><td>24.9435558319</td><td>4.32945013046</td><td>24.0905036926</td><td>1.58110666275</td><td>1.00405077631</td><td>0.12727409025</td><td>False</td><td>1.10567650779</td><td>0.111682677202</td><td>0.960375563624</td><td>0.188643982587</td><td>False</td><td>1.4170341283</td><td>0.146418693528</td><td>2.03276920916</td><td>0.350251163047</td><td>False</td><td>2.44458695611</td><td>0.263610316598</td><td>2.27104100421</td><td>0.584719320847</td><td>False</td><td>2.2221984325</td><td>0.447005018053</td><td>0.382452643622</td><td>1.52505704477</td><td>False</td><td>0.839070636197</td><td>1.2218991755</td></tr>\n",
       "<tr><td>6</td><td>103708892</td><td>35.100174</td><td>-2.8232</td><td>0.000841507746372</td><td>22.9514656067</td><td>0.0800532698631</td><td>23.1678447723</td><td>0.0611819028854</td><td>21.6869297028</td><td>0.0374699160457</td><td>21.8705196381</td><td>0.0249822530895</td><td>21.239938736</td><td>0.0460367426276</td><td>21.3906106949</td><td>0.0285462941974</td><td>20.8822612762</td><td>0.0554388687015</td><td>20.924993515</td><td>0.0314901582897</td><td>20.8942508698</td><td>0.145768985152</td><td>20.9385185242</td><td>0.0863825678825</td><td>2.39559698222</td><td>0.176631644833</td><td>False</td><td>1.96273691653</td><td>0.110601432365</td><td>7.67764661967</td><td>0.264963784948</td><td>False</td><td>6.48324068569</td><td>0.149176161705</td><td>11.5884274348</td><td>0.491365627245</td><td>False</td><td>10.0868537044</td><td>0.265204652946</td><td>16.1099981112</td><td>0.822593983839</td><td>False</td><td>15.4882586985</td><td>0.449213829208</td><td>15.9330768949</td><td>2.13914617486</td><td>False</td><td>15.2965182902</td><td>1.21701065487</td></tr>\n",
       "<tr><td>7</td><td>103699002</td><td>35.292846</td><td>-2.633928</td><td>0.649927556515</td><td>24.5666484833</td><td>0.267015814781</td><td>24.4270458221</td><td>0.198745816946</td><td>23.750246048</td><td>0.182102516294</td><td>23.6447200775</td><td>0.12390345335</td><td>23.4504871368</td><td>0.256969958544</td><td>23.3290243149</td><td>0.167111024261</td><td>22.6632194519</td><td>0.238156437874</td><td>22.8043575287</td><td>0.200517416</td><td>nan</td><td>nan</td><td>25.6134757996</td><td>6.95476150513</td><td>0.541178589871</td><td>0.133092404475</td><td>False</td><td>0.615434263187</td><td>0.112656264825</td><td>1.14789345806</td><td>0.192527693406</td><td>False</td><td>1.26506246148</td><td>0.144368039855</td><td>1.51288231182</td><td>0.35806607834</td><td>False</td><td>1.6919607109</td><td>0.260418033559</td><td>3.12400858902</td><td>0.685251863379</td><td>False</td><td>2.74319694548</td><td>0.506622843263</td><td>nan</td><td>nan</td><td>False</td><td>0.206352474043</td><td>1.32180564365</td></tr>\n",
       "<tr><td>8</td><td>103706494</td><td>35.202457</td><td>-2.775597</td><td>0.130085781217</td><td>23.2090206146</td><td>0.139340519905</td><td>23.1894779205</td><td>0.0972065404058</td><td>22.5336799622</td><td>0.0890151411295</td><td>22.5549964905</td><td>0.057250328362</td><td>21.7347774506</td><td>0.0786761939526</td><td>21.7694826126</td><td>0.0494336672127</td><td>21.2888584137</td><td>0.0701291337609</td><td>21.3482513428</td><td>0.0449858419597</td><td>21.2997837067</td><td>0.196510240436</td><td>21.4787960052</td><td>0.149595633149</td><td>1.88969517488</td><td>0.24251849296</td><td>False</td><td>1.92401667562</td><td>0.172258237223</td><td>3.51988127574</td><td>0.288580897593</td><td>False</td><td>3.45144854976</td><td>0.181993159971</td><td>7.34664441015</td><td>0.532363218598</td><td>False</td><td>7.11552509987</td><td>0.323970498809</td><td>11.0778794423</td><td>0.715534847039</td><td>False</td><td>10.4881638366</td><td>0.434561248611</td><td>10.9669665119</td><td>1.98494000352</td><td>False</td><td>9.29997107709</td><td>1.28137484543</td></tr>\n",
       "<tr><td>9</td><td>103719397</td><td>35.103142</td><td>-3.043642</td><td>0.00303420238197</td><td>23.205072403</td><td>0.119788229465</td><td>23.508638382</td><td>0.0859106481075</td><td>22.3613643646</td><td>0.0712493881583</td><td>22.5258998871</td><td>0.0400753058493</td><td>22.158411026</td><td>0.106208644807</td><td>22.4235105515</td><td>0.0630050823092</td><td>22.2251014709</td><td>0.201643228531</td><td>22.0378417969</td><td>0.0800961628556</td><td>25.050403595</td><td>7.80639219284</td><td>22.2613563538</td><td>0.295381963253</td><td>1.89657944248</td><td>0.209247782712</td><td>False</td><td>1.43398512791</td><td>0.113466412168</td><td>4.1252878164</td><td>0.270714222854</td><td>False</td><td>3.54519432283</td><td>0.130855677613</td><td>4.97319615952</td><td>0.486486885257</td><td>False</td><td>3.89579216133</td><td>0.226072138617</td><td>4.67691429647</td><td>0.868597817932</td><td>False</td><td>5.55729282509</td><td>0.409968673057</td><td>0.346607983752</td><td>2.49209508394</td><td>False</td><td>4.52332151771</td><td>1.23060056805</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(\"$('#table140305768604896-373910').dataTable()\");\n",
       "    $('#table140305768604896-373910').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 1512170 sources.\n",
      "The cleaned catalogue has 1512151 sources (19 removed).\n",
      "The cleaned catalogue has 19 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_XMM-LSS.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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XXXcdVq1ahT179kBKiWeeeaaS45vUWHzkWgHGBnswhX5vjcTdyOnze46ZaFpU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\n6BMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9ba57331d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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C8ooPbmtroq4WIDrb8vzCF3YTvy+kXLkpzLalf7IiRf2eGdo59BmpOyQl7/ev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\nhvS9NwnmjH+CMHl8ir58B71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ruLg2h9pU5CEWnvmIXM7xl9fQmDRszuVvCBrcDnilginZ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GzyDHk+3+DbC5afd25Q7FuGkWB1DXmBto2B6cTrRZzDseNwv5CQ72z1DgafJnyHz71BfHBG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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7ba14908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.12987986778227878 arcsec\n",
      "Dec correction: -0.12313008565225658 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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EPYPnj9q593VEeljSYL1L2uh7L6Ty+jJ/lMVOGk1JqYnRQF5f4zVr1uCGG27A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\nADyTfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7bb95da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5dOgPW8OS9UVVsT7y8y2BLjPjll1tXzM3y1MJSnr3oY2sOaGb9i/epEPurFRe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\nxHq+xQS2e/wHP0JEoe2R1Zr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EHI/aei5y5NTrnBu+ptwFESQlQj9gc6ffx6Jc/LrSOmog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ggM8+IF3ohP4nvoq93UMK+MoKW7yy5DxjrnbEJ0+hH1D7E+bhSF6tScPIy6LgMHaYaeb5PLNe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AuOXUOzbMnF2qI5K4EYzKjQlGQnVN+8gWRCnfGf/5T4k8+RD0/w9Ezu\nBrSqmT5/xdiaSt7lgJ+O+MsLWLVIVeK6k1nTfED6iHQTysRqOhrl7fBENTXUrZL6GVxDlZQeEwsV\nyxV+hjx6dPbEbqZQYf13XyM45hAp/7gnfP6SvqyZXtakUBKHgUmUOkwUQQgKzgX8ZUtqWtz4lrhq\nKFFSqAnerHDaVKRxxJ0GZJ4YXIH//Tu6kFnkxPJ337D/l78gpYGQZ/OwFYFynJDYWKu5n1i/e8IV\nJUUZKFXIc4JlQ1WcL4C3t+SHrbHbzwd2fnHDdzYpbRd2Mel6m88vF6S1+dRVk414tjvoJtxTZ1Vi\nXSOq5OcDUjjIET+dw2oKT2o2dtD1ppCeP7FUL12dL2ia4dCjbUXerJE5ku+u0cuN/Y5tCy0m5vwu\ntGWeoSrQq3NwT1PjHh4NTxo9bhrJcr74ikOHhJaYSPZwQk4HS7s70w7VezQmil/9Ct5+y/z5KyQp\ncurNmXKxtM9mYXYsydlAVFNGS8+8WaGLhnLTwtdvkf0RTcocPGnfIRrQ1sSRrj/g+7ON9P6Rab3E\nzxHfdfhv3+M/PIETQj6hv/uG+S//gumTF3axrD0uJ8ZpwC0CuapI3Z5QFWi9RPOMZCX89g+4ISJO\nSLfX5OMRubqwdntW/DDgn3ZoSqSbG/T1nVX7KeH+8DXFtjNtHCCrL/gfNz+jb9f4OlDdZWKIuG4k\nXazR//znVjg97XFfvUOen5E39+jdDfr6FkmRzR9fkE47VEf65ZFmLtAIkA1FfbEmqbOcAe9IP//J\nP9lW/L+7Ph7u/3eWc0Y/A2vnVWfv5Kq1uWFMSLi0gAXvjeo1zvbQJfNXi/fkaQZfmN3m7gbJQn7z\nFj9ZYIm25kdNmtG+sMStcTpX9BNSntC7jf37qOjOEJIUoEO2G3BpKNtYZfJqxp0SU3yPr27xISB3\nl+TTCYZEurkyVfzphEyGvPTuArpHPB78Ev/unlA1SD/AnHFURh+rHLLfEn7zGyQLTgPub37N/s8z\nI/dM6knaUKeAH4RxVbD77BXjvuf6x5/QvbgBJrp3v2OYTriYwVfsi8BVn7nzmeSErXRUb/+KdPlz\n8rWgbYR3FsYhWY0EuD9ZCxSQHAkfHtA5Uv79b5AhkRvP9MkrvPO4viMvVmiR8UnP4qFEOSXKLpGn\nnjDNVoH2J0INkko2RPv7pxk3BXIW5LrEiaMojMJVjAkfltZd2azxTzvy9gRDhHpJmWckJcayRlyg\nut8xjJG8KAkpk3dPaJ5wqyXN6qUR+a43Bvp4PqKLGv3Ra2vF1hU6TtZNyYkRT+wnEyo5R+8c65xx\nvsAtBN+bS0KGkVAFLpuW6e0Diw8PNHE2+t5yydJf0rsOyY7q+gsEsXGUnNGqGQMIPW+N4ieCqqLT\niM4gF8bC52JpQJo4fy/icu8ecccZkQkOHan2uMVos9JDZyKozQr3uCV7b4dsPyLdyarIzdpat/uj\nHYTi7X26uSbPE1xfnrGvzlr1xRkKhZKnHqYBOfS4rsO1SzQle+7SGTN96iw8aN/h9zukKEkvro1G\nmEBUyNl88HHOpEKovvoKqSpkmiged+RlYxf6xrz2FBNh1TLlRKoa3O6ZspuQqw1uvSSdcdXxZz8m\n9SPDsSc1Bp+iKWjmiPiAOw4QDJ9MsmAUhtn0M6JnKyK4wlC8WgTSF59S/uEPZje9viK/vsGpQF0Q\nFgsLX9ke8Y8HXNcbd+KMOHanwboaxzOO2TncN+9Nb4TDnw7m9e9H8B7fTX9iXgA/O33Dt9e3HJrE\nn18NhErIqw35wkabHE8wTGjf4949Gua6j7h/+7fkf/0vzd65faYSx3TsYP4G/eRnZO9wziOFs07o\nixtjPVxdGIvh4/p4uP9gq6nQV7emYnUOreywyKce5yBfrnBn4IuuVjYX/C4+c+zx42TWqGCHVf7y\nBS5B3StDH+Gbd1ykswf31COdqUT1LC7SorA5YaVWjUhBrleoMzVvHgb8kAnHIxQN6hLSLmHl4HoF\n1xfomQ3OPFNKgWyXiBfG0uOeeiT3eG+CnlQWqBfjsN/fmw99tmz7PI7snn5PVQeq7NHKsyo3SN+R\niKxWC8p1Q7psWbpE6gZ85ai7wMkL+6ph2SUCJZ16itxTpiNxIcxP7zjEHZdtS7zYUP6vX0OXoPS4\nOdolynvzMZc14eHJvh8B1ydc3+NOe9sYnP/ed+vuH5CuR1XJ11eEfkKmGWkqpKmYfTbsaFVTPNl8\nV+JIaFvicCS83VEUHlk15M8+RVcNnky/3aGrNalqOO0OtNsBlzN50ULMlJU5HZyM1L0HyeSwofIg\nhxFqs3P5fsIVJfl6A0VFfRxIN1fodxWpEfRhHs0298UnFL//hqlUhh99Slk7Ktkg6uGbE0SlHCaq\nameM9qKwoJnnLfq0JZQVq4sVmgJsB5h2qASr0Ksz3vP5ZLCXYUY1IvqIn2byxYpcinW9UPjZj2wD\nPw2494+4fsSVpSX7Cfgk6NKRp8kU32cMbW5rtB9whyOKx02RNIxw2Jul7ng0J8cwkl7fGSHOLa31\nvqjt5xxP1uqnJxVqVfPzE+6Xf0/x3KN1yfyv/tL4COOI0wXaLJiWl1T/8A5/nyH3yNdfMf83P2Z+\nfYsrHTKskVPP3I+EOZPnaAemqiX8iVh+wTnnQVTR4CjrBW65xz88IYVjUguIqspgnYBZ6T+5ZTiY\nu0TLjTHx8cg8oYVhY/0wgkLwjunyAr/bE1/e4U69wZQuNuS//AV+0VA0NeOyJqcZ9UKbwWmB3x3h\nNBC2e8LXb2zEh/Ha8xkalD3fMxxUQHZH3G6HExMAJw/pRzd4kn0PL2/xX7/9/oCvGs//cHsirTFd\nxilb1HL2lk7XD9buPwxoP5wjdr0xEnK2DI+cyQ7TK2X7jFOaKbYP4Avy56/JV5dW0PwT9LP/h9bH\nw/2HXE39fxJx6DCiw0j2Jb6CXCYTA1UVTrMJS94/nLOwS5sDliVZjJPNOHLVCNNpwt/PVK6EiT8J\n/LzA9njGzQLek3OyeeNiAas1PO7RrVl83JgsmWvRIPud+anrEmZFjycDP4hFcHoROB3BearSIDKe\nABpITWEZzDfGsAZHdgF3FtuNqyUMHe0kvNaS4zBQbUr6aaasHYt+ZCoi/eCpn3aE+/dctAX58pJ8\n8nzVjizrisPSsdItxeGZXRVw6cDp+YQ/BopqRfFZS1E7tF2fFcIjcbNCuh7KivnzT3H/8CvbKL5b\nOcNppNksYezhEHFPe8OztrVF8Tpg3SBPZ1qed2hTEz+5xj0eyZsWXxToaSCvV9RPe0R7CA06DaQ0\nkEYPEeN7EymyED/7hPHFRIgJ29V73G5EqprlNNt3N8/oywu8d8gwkLwQ5oTbHgjfvreQjNWa+NlL\ndJrwX7+Bpyf0eMK9eElIkbhaMb28xb24ZbFaECqPZNChx80JV1RnxXqB23eomCVLUoZuNB1JLWjf\n2Ry1NKGnpHSOEAaCmFshHnCD2fRcytZBOZ2ISUlXV7j7J+R0OlPQHFJYBKjlwjsT0hUBN87kpkJ2\n+7Ptco1mRdslOWUbdcUJ6Tv0YnkOmmnOHIGM9B354hWgyOOTpbSJN4vYdk92gqwru8Q8PdqhXxn3\nX3/7G/J/9he45x3znHA3NzYb39l3IPOAHGD6q98y/ff/Av8IRVMzX65wh+F84R7IfY+fRnJ1xhKr\nmoe7KswuWVc2MnreG2BpmCjUNDepKXFzRLwzqIsaqc2PI1JW+La0Z5wlst3aZT44XDdQHf6Irlfk\n9YruX/0X+N99Ra5LfIrkboBppqoKlAqedtbpmkZkmgmnARDrXMRoh2Q/oIsSLUvi56/gYo1sd7A/\n4d98sMNZMlKeoU1tS3x1B+OM+83vifs9sjtB4cnrFcQBqa8hRVzhIXdmHx5mKyaWoDfXpMV7PBmA\nuFmbpqGbKQ6JOYw45/D1wv6GcUSSwNUS97gnrdfG3vi4vl8fD/f/J5aqtT5Ppkr342iwGOfJTY1r\nz+x0F8iSza+O2bJwoJ++Qh6fzihbTzX21uKfErm0IIn88hq3PeAGA4roFG0ccLHGiUPu9+jzCQmB\nxALtZ5AGwcFpMt/s62uDiYwn3Pt72J+QiAn7bi+Np95NRvBaLKzdXxdwtUJfXVkLsxtQ50lXl6Tc\noUPEuwXD8zukGCmD47OpZnFMyKuXPDo4dh29RMruwP7DA+s0EY4t192CarFmnTtGyUjuON0qzWKJ\nGzxdGundTJgzTzkxn+65LWaqoJSyQBcL5p9+aaOQvjdxzdUV7nhCTx3a1OR6Ye3LvW0+MgwwnYxl\nXbemqxAll6WlbZHRqkQWC8IEsl4ZuGiezernFDlskZRgZ3St/LbCbzqoKvyixD0PpO2EKz3uZmUz\n2jESXQHHjnJ/JHlFNBLbgjBZLncqA+U04Y5Hpt2eaX+kcR6vinwQyxf/5o8wjIQ5ofUBbi/YpGiK\n6/0e3dp82r+7R+ZoF8p1a+1bzWhw5MWC8OuvYOjMRiiCxmiJcdOIxEs0tNA0ppJODsSRmho/TWhR\nIceTcRVEEPG4w5HUd0g/neE/aiClRX3OA4+A2gHuvDk/np6RukDLxqA0Vxe4fI7IjRHNjlw31nZv\neuRhewYiOXIoYI74r95YBkMo0MXp3NBwSEpMvUfurqzb9V18Yozmfw+eeHmBxMjYdWiVKRTKOSKa\nUAT/YUfxP/1bqv0WV5TI6zumzQY9dcS7O/LzI9xekr03T//K4p711Uv7zHcHo7rFaAS/sjyT8c7g\noOMRN2VqCeTtM7mpkQylG+mnHRIjwa+R2yvz/8cZ//6R3DTIPBJPlsSnr+6sC7U/4L95930Ecr7Y\n2HuRshUGw2SdxouVtbKDXbzSZ69In722lLuisq7kPOM+PJPXhrfWs+1X12uz9nmzfeqqIX3xqQl2\nxcSNQsD1k4VkabLCRMVGJjnb+MMJ4y9+ijwe0brEv9ogj09Wjb/4hOr9A3nZnJMFwWWHrprzeEBx\n/0S97P+x9fFw/6HXONoh3Y8W0OCwXOqUyW1plhznjNq1OoNwxhlJp++pZjLNuDmTgxHf9HCCTUs6\njfZAr5cWdRkTerkyPCiKVoUBLnZ7q7Qw0V8oA9QFkhIyTmgdiG2JzLPN7uZolVxUNAoigbwfkNsz\n5akQGzF4D2kir5bo9ZW9mMuFqdcXJVr1UNQMZeIyrcnDMyGULGOJzyOp23Nb2Cy6uljh7x9IKTJG\nCPsTpJlQXNKWAbpnir5jcXjAVTUXTphzRfArgvfkfGDvlM2XX5KftmifkE9fWxynL5FsGdm6aIgv\n7ux3HXo72EWQmAyD6p11Oc7Vfr5ak+6ujZLWlkg/I8eDpf/leMYAu+/TwXjznjRHwslsVRoqJEdk\nfwLpqS4W5BhhGSjKEuKMFAWSJ8Z54uAMF76pgv28pZG6koPCCdKf6JwwzplisWRQ2Iizy1lv1TcM\n4DIy9OghQFnhx9EO8GHA3T8YY/4cxqOnI7pcWXTm9Qa6k/m8i2AisBgtCGjYoyHghp5cqpHkfIm2\nYnPx3cmcCPNssaX9gNnihLRZ4b59g58Uuo50dwOLCv/t0SrUsiJ7T75a22V13RrH34v9DikjMZOd\n4EZzROjlGn5k/uV8d2ff37E3dXtZIvf3Zr+bo1WnWdHa2QUjlHhXkqIiP/oJ/v5EHgdyURMOPf5/\n/jfk4Dj82Wd2GPYD+y9XXDzscC6glaBhxD/uiaEiqBLe3jO9uGV0Hg4D5d0rurtr/GGPGzLUJW7V\nGIhmmqGLSI6kpsXvD+Takz99aR2GmOyjixNpmFlcrOmzQnCMp2/xYYmkSBc/8Fi9hH7gRU6snbMR\nydOB8vSAvn8mv7gm3V1ZqlpzDsoZephL23vO2GKdI3kKCEr8/CXEbGLEa6vev0NqU5V2iLYNGiJ5\nGE0tv2rtEiDB9pCyQO/u0Cmj3+XUe4dcXeESNpppawi1obbbGv/2AXl4shjYqzX5yxvr7DhnPnXU\nHD9tjYQCf+pBJmhK04EUJdo053S9j+vfXR8P9x94yWA2ND484L55a4e8UwNhHHpk1aIvb41/Xnig\ngKceGSpwNS4O8PUDNI2BKBqHEw/LFnEF6rBK6DTYzRtM0FcF81A/7ZHHPaTpe9ELMaEHtZl0UVmb\nrL1FnKJPW3JtXmIdhRQao9S1Hl/XgMBqiRtH+/9e38KXr+0FFMwCuFkhb5+gwEYDFy3uqDTj2iI1\nQ7bqCPMpF4VnTtmq6KcdRVTKWcibFT6sYdwT40gzDYhU5Oip8FR1RV8KFQPd9YrNp1/ip4xmIV5U\nlO2C7AIQSemIzgNJMqUP+JBRrWxuPJrNUL1RueQco8uyRl+/wL99gOedQW9StktSUSBOcVHJ6wYh\nI9sT8rA1gVVRnFG9YiKoqgSs1Vk9PZsOoy5JG+OKd93IMA649Ybj3RVZhMt5RlyCosTPRgAkeyYi\nUpWWDCgwZk/x4tLCb949QlGTxx7En7GuI3o8nW2OBXpw59mvmtK8WZDqCjeOyNsPqBM0qj0PSxM5\nadWi1QRVc748Zrs4ti3khHpH/LPPCO8eTPh5fQV9hz8cyVmN416Yk4GY8Nsd6fN/Bl+9sajeFO1y\nutmQP71D4vlAmCeLOY5nCNFxQKsCXlxbN+ybtwaC+fI1ulobejlHGEZToHf77ztgOThkL0gQoptg\ncYn0ERoh/ev/lmnXE37zNeFhi7qIpMji+cju9TU831Pmmf4LR/20Z/YFsV3hhxEnBeKNcJeKQLe5\nxm0i0+4AWShiQSzW+FBQxkx43OE2i/NnMYNm0qZFX92YILM3nCtlIM4l0ji2w4ksjjJFHkPm0kVC\n6fldf6CfOnLj+ToL/5VfsXzujBh4sULqEv/uHn11Y637uvpTSmHTWiV8v7VnYb0mvXqB6wakLMhN\njS7PMcuL2i7E3hmsKiUyiutOpCDkuxdwtUKGEzoMFpPdT0hK5M9ew6LGv380UNTTjrxqLb+hquxn\nHntIRrYz58WMe95avsThBKuFjXGmCXZb1Jf2+VWlBd68emFdmRc35u3/uP4v6+Ph/kOvccT9w++Q\n54P5aQ8Ha2dnCyKZ9h2zPoDCYt0gUhgJLo0wO+gVlkZmA2C1Ifcdcv8MQSyJ7HlvlWYoLSJ0iujn\nr9FVSz525i+O2WhZpwMuJSQIuVqQxkQmn5GOASWQJiGHinGYqZZCXrRoGYhNoAoe3W/J5RK5vbTD\nYpr+pESeJuT9k9H3XAGilHFiuLlgjAuabxM+uz/5TovAarUgdh1JhOrqmsXj1jCweUQe7llu1tRd\nIM1C6hLl+hLZXHAdEtW1Y1CoHbSHD4i7RPuB+jCik4ObG9LuHqaDHbrzxHy9QpcbeNwjpyMpT2jK\npHii9DVaLGwTzBn5+p1xzmM2fkCc7RIzJLIXkhfY9cjjE/752fzZ/YioVWqqYiAh580OmUyZTmEh\nKOqd7ZkpUaqQ5ki83DB7ARbGNxgGi4lVS8STumZS/X5my3phl8X1ivkXP8e9u0dfl4RgaNVpzrj9\nibBeGmHs8zv4YDGjOkeSB3e0sYFME0RIzuH3Nu9OV5eIZvRREUZToldnWI0IrFY2R180xE9e2ry+\nH6Hw+F/+iuLb998LquKrGxtZJOMv5KpCTuMZviIWRjNMuLcf0HG0C4sv0JvlmWmiVhVu97h+MOzz\nyiNfvyHfXMPzFpmiWVMXhQUrFQI+mDbAZUsOQ43gNilaC3E72METI5JnsivwOZEPO8LeESWhtSd+\nes3+bsNUrSlWa/y3b6nffyDPM+nL1xzWDXx4Zh5GZm8C0kGFWoU8K5OoaVXG+TzCOUHf2/Nx/4xb\nN5Ar3NtvzCh7Ze9YXJ6BS6VQ+lum+YRUnrGvEF8iSQlp5iiOxe2lHbDnBEgWNfn1HZQB90ej3enL\nKzuAG9MZAFZAHPqz4DAjTtBkYT8G2TqDZXKGdgnlgfzqxmxm7QJ53IKbTGTZDQbRyWp0wfsni7rO\n2YSF0wTLtVXzs3nUJSdr/Y/ZhHSihP/91/iuJxee1NZ28Rgn8nKBLltys4BPry3wJ/izcPLjrP3f\ntz4e7j/kUvOx64cnY0B3AxIjebO06nLO5OBxvWFn592B0hUQKgPgDJPFaMqZ5V5V5GnArZYoGZw3\nj/EckcdnpDJ/em5raKqzOjejm6VFMu63uHCekw8TMXtyKFAt0KHCTQO5ElzhyP1EajxaOZJAl2bq\nU0RrTzlMuLhDDjtkY15mm8llm9kdBtsAyoD6QFguaF9ewbFHkiOLVQ0aLRo2TJmbzQW5KPG7d6Rp\npi8z0+4t8CgSJQAAIABJREFUUZRy2nCZSli9YHInGDPjcsH88oLbeQfdjKaJuL1Hi5HlV3vC7OHN\nB1i/I24aCEJOCSkcsRCGMRE0IpIp1FlluFyQmXHNwpKmEGP9zzP4c5VRB0P1loHsa/tcuw65f7Tm\nRT9gtBnb12gq/PEE42TWKc40wzlaxeI9Lk0URaCbEu5wQjSxvNic+QmZ2PVWtdQ1oR/Y7E/0w0As\nC8q6otws0ZzNfrRuyfUZ3/n+mf2UGbsOt76iDDXLdQNlIL1+Db//2r6vaTZdwtnHTbSRRHpxB8eD\nbfqa0OtP0DgaKKY5p4ylBN3RZuvPe/OgCxZzHGdLcPt3ltufoLJ2bPj1V/RXtxSnDpol8+01RewI\nf/v788hoJi+XpJsLZLLQJvHOLrrJLsekaBa4YcYdTritCUPdojFee11ZizYIvHuP1DUsKuRwMsjP\n/QfYV+jNC2IZiD/6DNfPuOMBfCQvlvjDAZlm0mKJBDF4zO2K0ZcEucVdlMTjwS4wzx3BQbdq0SGi\n3REXCpILdjlbLtB1QxZFj1v8aYDSndvjEVWH//qNKeKzEt58IH3xGl8XpKoiF46KFYtVxpfKSice\nugFfOMp5Yr1eQbMgzhNhfzDtwE++sMt/U5N//JlV1H2PPO3QG4H16mxnVMtIf7bvTL3Ajz+1zqOY\nzZJTb5/5qTetwzDbof+0s2S5Odslf7Mwxv0UkcsLO3iHc3Jh18HaunTEc2ezrUxAfLXGHXu7GKeM\nPx1gnPATuNNgo6Kmtu5R8KYPWLZmbyyKs1Pk4/r3rY+H+w+5VI01rYp7d2+tRhIOIX12Tdoe0f2j\nzYJX18aG7+3BZtGg4smraNY2KdF1a/MlbzYn6Uej0Gmk2B0N6blsjJ89WBXNMJuSuCqNsKdCzILW\nBUkLZi3AX6NSkl1pAqsw2UF1syDPninNhNIbOnOXka7DJ0Xa2magxxPyx7fkEMhi4fU6JGjtcdKl\nbR5SK1yL4XT7keLrb0i/+y3zIhD//OcsPhzw794zjidykcg3G9SXTDUMcaamwF1d0qXE9OKWdhgI\npxH1mXl4oJ495S9/ZVGseU2+3BDGiRhr8sMHZL0kFp6xA2kg7U40T4/IHPGrBXGKhhcV0FBC31lO\n/BRRn6AujbNdlQYMGjI6j2jX26Wpn86s8IxWlc3zvYeyRuoCNwzkurHPOM5o6clFiYwDgcxFIYx9\nZJmV8OEDulwxrxaWwb1akeeMPOzwGqnL4nted9puERfs+4iC1A06Riap6A5HCvVkIsM4sjqCrmrk\nzaMlhRWOHJSUEhJ7XLM0twZiY5zVBrygRXMmFza2Gcdo5Ln1xvIONKN1gUuK+BINDTxuzanhOpt3\nl4F8ubG/BwfDgD8eiFdW/bntFhl7i6FVTA2/3yOLmhyCXV5FYBTDC4MlyvU9GjzueQfB4VNGp8lE\nZJuVRQW3LfmT1yY8SzN+ba1bN852uZ4i+fPPrND8Fz8Hifi3X+NKTxFHXM5MIZLHjrK9oXv7Bv/+\nAdlvGQqhvVpTdCs283u6ixXiAqXPlHj6sGBO93hGFs0t4i85jg/M6T2hnGjLFcHXZJdRSbg4kLPi\nxFEOJ8btjgtfMrSejNAWFWVhWop/fjvz1eMT8zjxqmyoFehO6PUl00++sKpcvBHyqmCxt398j9Q2\nb88fHtG7axvbnQ64571dPM8aBd4/GzPBm0VP68rm76feKm6HHbJztP0um+CQY4f0s0XeOo8WFfnp\ngxUsmnDHE25h40OykE+DWVZvr0i3Dha1jVye9zYGG2eLao6GHhYHZDW78OXG5vEh/JPMaf/Hro+H\n+w+1UoL7Jzj1ZntJ0Wwwrdl1Ul2jaYu6gjDP6P17ws0trBfmZT4M6CLa7CsqXFQMl4H09j3hMNGI\nJ/kaXa2pfvVHewFSMhRm33/vF6WxEBvaGhafMn3zDVEHYuOZLi+RfINLgg6ZVHjCeKIPkKorFo1D\nXELHnig1xTDg58k8ut/BMR6353QoA7nkZYsu1+RLh79/xk0z/t09+cUF6ctX6Kknl47yzTumw87O\nkAGGv/5rJC9MLxMqsh7QxpPqAl82RAVGJcSZ5RefWfu7G5DBk0OAvKL45ivEm0I7pkzqBmS1JIwz\nWqzJRcVctPg+Ik9vcd9+MORu1xO2Pe66Jqkj//yFXYoe7mGeybXZtvTHn0I3mKDrwzN+GMlTMixp\nVnwARmwDbBsTRFZneEs6VzH5RLy4MH3F3RVIIEuFC4J72tOMM5IPFonZTRBHSwPrOxyClo7sKnSa\nycGRskLMVKua9M1b5hd3FNog77cU84xzidjvwC/tOVtUyNMOOR5gGMj9TLpc2QFaeULjccfu7BIo\n4KKFRWXzUVHTjHh/HisJpESUxDwcEY1IFqr1jVVSFyvm//Iv0P/t73D7A/liTV7V+GmG2ljhORRn\nEtx57FEGtCwskS1GdGHzXb3aoK1pPaQcra19vUHn96gaMVGmCXoTh7luIDfZQtKcxZi65cIIempk\nyeLDk+XKn9PYyjyZSK/ypL63PIHRVP7u2BPqlikOaL8jvHtG44gE8FMk746kxhGaQBgObHJLqhx6\ntcIN3zLuviU5yM+/Rur/mpQVHyq0hiEeWapDlxbfrENvF8VmgUjApwSxp/U1XF3D9KeYZHGeL+v6\nnERX2HvhQF22QiF4S497+2TPVEyw28Jg7XiZZ/ybD9B1dnhns56Rs5F7n3d2KShN16NdZwdoStZx\nKGpLGCxL9Hg0Z0VKuKKAwxH/vDX73aohO4+UFTJaJDbHI6JLqDzF+2ez3r57ZPrRp5CVtFkhH57w\nycZRualNTJcTulyRLy6R2rqcLNv/V7b5/y+tj4f7D7WOvbWXxEF1xsMqZjda2IvlMGaK3/WgUHz4\nQCpeo1drNGbEnX23ZUGqao75wEIhbRqOUWlCS2obxAeyT4gXINtN3FubT1KySmlSC4D57MZuvL7A\nZ2+4zD4w5QfcHOmrjuhr5mXAqVJUgVpqIrYhqgquLLAQe2y2B+e4ynNgRc4gCZkGpLB2n/vwSFou\nYdkY4Kbw1rHg3MUdZnQ6AIFSob5o6MoGJ45qN1O5hlwJ4jzud98Y0hQlX14gEWSzIjs1a40szsjd\nglQUlMEhzRp3c4l72FK+fU86dri+xwN1OsPWtgMsI/kMxhCcaRVkRKUi73Zmy1KQOIFmevkjk5+g\nFZbugtAsjOZVFKboHWeSn3F9R1IYfY12E9FB249IGg2zKsE+m6w21z/jh50Keb8jDAm52hCGgVwW\nZBF0UZHbClHHLInsHGE00aDEkaSZIh3pxwkWkdYBwcGIHQ5tQ9qP5GFAbq5wZY3GCeoGiRNanGNS\nnbMHddGC7mxEMQ7noKNMmiacE5ASFjUxThRilaGkiN5dk9vWZuT9ZJjRzSU5TZbOlyvjtC8COcK8\n2hByRmMyjvqrG7vw1ed45UUFFytUPLpszwfJ6Wy7O1u6YrSOjA52GFSlKf2bmvTJS7u0Pe+QeQIf\nrAuyWtoOGDzh/RO568j9hNsfGRYV9Xii7CP58YQfejLRuhFJ8b4klYGpbmG9QtcNhbOMANl+oNTJ\nwDtFgX74A+U2I2pz5LxZkVe3pMrB19+iF2uEA+WUSHcXhOMBitrGWJcbG7Nh7zcxIWVl1W88wdDD\nsjk/zxY6E968hT7COJKqM9hFLR/Db49nul+PhIG0aFDJcBiR641dTCWhRbKWuwCMdklI5/Cs0Jhl\nd5gtuGV/QHRr45CiPFvcEqpiRc6cTZOimNhTg4VnlQVaBMLbe+KXn1ix8Okd6blB5tkCnQT8GGFV\n20z/HD/8cf2n18fD/YdYKSGno80F5xn3dCBvNvjjyTYsV+J/+xaOB1xyduijOFV4fmS+XpvS2gna\nFOSXd8zrJWP3nvrxiM/ZRHMk8sUl06efUL55gww9ua7tkD2cbF7vA7Jo0WJANSGLwjZndaQhU71a\nM91vcWnCDZE8jRSnHj96jhcNl80KJzPtsYeYzNOagdib+njVms1qinbbv9yYuk2X4B7toFcMdHH/\nAYaVEaWKykRlU2ZcQGwXMNfk7REpHM3yilf5gqRKcToih3vEKaRMLmrbXIJDjiebU17cIi9+jP/N\nH1AccdMw/+gLWDdMU8a3HtWBcNHgv3UUqogqFedAMUCK0hL7ckT2R2Qc8f1MCoLUDve4JwfLx87b\nA7HMxDgTvDBUcOLIxctfwDSYgKup7Dt83JK6iu5ovncVm//rvkOaElxjLVDv0aZCRgeTWRR9zoRk\n80XXTeTVijgOsG6Zr5bI7oivPDo7cojMYWbSGc8zxTBSTydKMV+2C62NUZoS8ULUGXk7EPoTEciv\n7ggjcNhDVUDloaiYx5mxyBA9VT9QLMR49JqhKJmHI3lRU3gHTiifT/j7vbXkp9Eusg/PVikKlqle\nFvYZLxpTygegXlird7UgPS0N3+w8cuopvv4NooKuWqa//At7t4bRLncf7qGtrSuxPRlQZ442tiIj\nCdzTjpQyIkJ+cYNuVqTPPzn74DNpU9kzBfi/+1v8sWeWjGy3DBcrGDP5OCEacWVhDo/BhHDu1RXj\nq5dMXcaVAuMzdBPStBShZpcvmIfBaI55oFRHCgaYktOJ+vXnsFoR44DkTHTgLtZ2aVW1S8twjqEd\nJwO+nI4WK/tdJZtnZH8wD/5pIFcJp2KCvdNwTtLDOPnrpekzRAh9b5CnKVqmAJDrGnd1Yc/AcgH7\nE7o7GE76OGEul9KEnKcJRZA5Gm1wPuuEhtkuA97BxpC+0gT0OKKVJ7vW7JP5vKE4f/bVY46UqkT7\n3vbGTWudNBzh4RHnBE0RN3zL9PLmI172H7k+Hu4/xIqGPKU7mr1HBHlxQy7PbbOULMK1uUAPBxzg\nC7OSKdZW/v7IKUtEHKVCM2TmxsF+pmoXxKs7VJXYNPgyoFqRX7+AbkSWNUQHjTMc6JDQ6w1Vqhjz\nAdFMU7X4oSO8/y354Q0+KbrYkHOB5BI3e8K4xc0DSoGrHAwRiTOybOyycuysbb2sSVVjKVnLGoqK\nNPbw+2+QGEmCQVPAeOE3F7gf/5Sh3zE7pR3EqsHinC7mAj7OuGOPG2fboBRIE75K5KqwzW2ccG2D\nbI/IJOjnnxFDYXCTENAiWBdZJrhcI84Rlp7wNH8fC/DdPzQrOVSwXuHeP8HLK/Ttk22w2Z2zxS3t\nj1DAfIIE8Vy0ahNsY2tbG8HMIxItMU+9M6V3ipbB3TTIokKCmO2wsKhZRMiFR+srE6cNA5ITkoF+\nsLlsVZFdRLsDctGSoyKlZwiB7JTshYmITj2hmQiVBx9x6xWsF0Sp0ffvka/fUg8TUTLy9TfMeLRd\nUjmPTol8GOCmYvguf/14oq8CRT+a91zgtN0ZfjjNzMAmQfHUmdr5Q0dWj64dYHNwvdpYJ+C0t/ek\nCaBquQpVaRWlCFxfoV0P7YLil/+Am5N1U94/4n79B9KLG6SuICfyqjUUqnjc0jb6tOtxVW+t3jgi\n03QOaPHQjXZYPG/Ru0t0StYOB0jZnAPjRHRKzplhjMwxk6bM4jjgLkum1hHvPqH6s5/apSwL7Lek\nw9a0CqcjRRVg8BSLL/BSEOcTubklP52gcCyyUARP1JJ87Ci8MBaV2fjm0WJXr17i5xlWNZqTjYLm\n2SpqZ7kUp/4e3R8odKYpWiPKCWhjNkWG8fygZxgs3MZ5w1prCMipQ6aIUyVoJi+tiyGVJQvqosLN\nHvaWhKnJ/m899sgQ4fkRhzOlu6pdhMQjwZPAYm8vL9AQ0I1lYKgzrC3DjPQjqXC4pBY+c3mBPJnr\ngRjRZW1JfI97K4C8t3CrtrHLx8f1j1ofD/cfYgVvt9Z2Cf1kbfLt0VpLZ9sHU7SW9c0NeeiQaYZC\niJsFcjwrjJdLFIHTCXfqudLA3FwgIRPWF7YhPuwI/R7vLXLVHU6kUFhbWM9JVONkgqtTR1q3VNEh\ndWus5jcfKB4PjM7Baeby9MwQFnTlzHo8smwbcu2sAmsXsBTy0yNufyJrsBe0MNGOXK/NOztHmHvy\nsoHXL6zlNiWLTc2ZfLFEigKH0q5uyKU3C9OuO4ddBHTfmS0qeNucNMEYraPIDK60WemyRUWR7R4Z\nRvTqijLNjE1lHcNdZ5ttmWxEMkbm9QJXBcizbULfxeEuV0aQOft0VSG9FOTxGW1LdJhsVrjdIl6o\nfE1s1xzXRmNbuB/Zxizn725/QooaFg7xQjhNTHMmtS3FosRdr+F5b0XworFKeb08e4sTkGGsjFO+\nt6xr9ZWJyIY9zpfkpif/9HOcryniljEpOkcjdI0DvH0ipBlefYavBua1wIc3+ClCNzKlmSEY/8BP\nkW6dKV7dWvfJeRNjFQqjec6ZhEzAO7OoMQy4FClTIIeCoA404b4aoLNuSE5r4ubCZuLdYIex8/bs\nnPZQ1ug8QX+wGWpp6GU2rSnj3XnUA/aZBBP8hb/+JW53hLJg+sU/Qy/X5FNhB8zdDfr1e4r+vR0Q\nzqEpGwrWO8izXQ6HwVgPKdlz6/jeqRJwnNoFx8pTSqYrK6aioM2RMQbmpmIO4f9g7012bcuyMs1v\nzGJVuzzVrexa6QE44aSUQaaEEkfZ4Al4ARqINi0koAcSCNFCosEDQA9BA1qIFtkLpXciMikicBwH\ndzO7xal3tcpZRGMsM0eZgZJQOO5OpE3JZPfavXbOPnuvteYcY/z/91N7T8yZyUdG1yJJaGar5+SF\nHAaKdI6prmhLw/VLR/3JLVMWzi+eI4tmhiiNxHeuSK+vMceAW221u1U4aE8454hlqV2yKYETuuEB\nckLKmtSNTKnDGTvzKybtMq3WyG6n3vSLNaZZzM6Wk46vnFVUMKIjjjGQYlIEs3PkZY3czImWIqqx\nGXqkExWc5gxTT0I0VbIfYNloKp8zGqrTDshKT9HZOD10HAd1n1hDvLoibpck7zGbNXzjWzq/XzTI\nstF/70+q5fhM7lEV3wnr+mL9f64vNvfvxrJW7UKSyV2FLNQyJXeTik9iJFdO/aZ1Sbpak7xaZUwy\nKsLzTivKnOH2QdvazuIXlT74BK3o4oREDV8wD4+a82yEvNFMafZHctNASjzsDzzEkWm74EVTsPjm\nW8zNDtOPVFJgxohkKEyiGQfMOBCaClmv4faBKIYkAWOCztpTIhUbzOf+UvW65zAL+07zDDBOUNaQ\nVaWPWN3Qhkh2eZ7TiwqrmlJbdMbAswvyXUHqox5OTFAi32JJ3qzVFtN2mMNRyXKFhcOObEuK27v5\n+xXkaoVxjvjwSF7W2PWS9O478OlbpO1ITaVc9Dhpx+LVDeGdZ5g3N9huULV/6YnWkXc77DRhygaq\ngkXwlPY9xXA+HNS/Wznk9gFpKn0I2oLcDrjC4isPBNjMJMGrSwXOTCMSnL4XhYflrEoXCzYS60bh\nOl2PCZFxhpxYoL0/MG0L4mOmCj2pf8S1B2zK2CRgGooJ8unAdP0Gd7MD60hNCQ892QpZDMPFgkki\nw+s3VCFjCk+82OKSMIrDMGI/0xvEDCbqNXsYES/qzticqa3uGFXIlgTZD6TtlnQ26WcSol7jlVqX\nLJnctsjpQLaO9OKKNPS4VEIYGS8uqY4tsj+RtivC9gz7d9/G3e114z91+L/9B4b//SfI7zzXdn/O\nmFe35CmqHmAKmENL3B+0e4CidjmdkDAjV7PS9MI7z7Cvr8kpMZwvKe8emMYWP0X6qqTbVDRlgZ0K\neH2HLReMV9UcBFPhuxE/9AyvP8WUNe5+gNGR08hwtcJ/dMFp9R4pCsdgWaSALTzZgUuB4XJL8e1P\nkW9+gnMlbrmcFe3Kxc+XG8TPlsNZEyEuk70njxZZL5DC6eFsGMgXG9KqQh73mDGSq6D46sKRuzlD\nICc9EDDfM8OoB6tCufjJGWyYkGnuRE5ZBYVVpfyOvtdrwlmNfZaMtB1iDaZUUFamJretWk1XK3Kr\nBy9R8rG6TlZGY4BT1FwOa8ndQLrckgtPfueZUjXLgvi//E/q3vhi/bPWF5v7d2utF2SyVie3d3of\n+gITB5IRsjimF5ewPdOKuOsA0Sq0qSAGohhM22J37SwUs4gz5MtzpU15S352hX17qzaikBBv8Ycj\ng7NKi9uukWmij5HRgK00ne7+25+wfjyRUyY6jzkc5rEASEo4ZwlNrSjPIWk1eXkO+1uyL0gbixnn\n9lxdqv1uMz8gbx8wu0fMfqeYUFeDC1oFFPPJvJ9Ir29V5Y+BZUUsS6wx5LogrlZqR1s3mGOLxCV0\nJTg0UCUFxJVzTnPWBCmMPkwqUc679XDq9Xv2gixrcmcxwc60uaD2mboBq0KyXBXq3W1K8I50vlVU\n8O7EsCgwdaWc8JhxuwNDODH6Fo7XyNUzivOLmRkedPYeMyn32pFYNXD4jLluSItiViHvtFXsLLlQ\nTrsKMYVsLckm7cBMAdv2jKcdLBckZzmEwH6C9qHFHgNlsqzzCjm+pcgj4sCnjL3f0/cdU1WSpoHp\n8YT1BX69gkVFf7mh21QUw0AyR3pnqIsFdgpU2wvc3Q1SLpRjfzxgdzuySTTGE0yCdsRXDfkzchkl\nuc1I7oGAXGRyLLQ7MSXlAQhwvoW7Pfi5RTxfEWlKJJewRYGce7pn/zPm/h6Wa8x+j4mT8gdAZ8NF\npQfMcfxH3SQQyWTjEAd5u0AWtWYlrBeY6REzBbIvyKXH3O1V8NVPxB/+EMSwff2Wx6YiBiE/7mgO\ngdY12DCRzpaIGJwI5QC5aEiSGGzH0N1gbalt/HBgqC7wpmE59HTHiaosEVeQsHPIkX7ktvQs/uPf\nwCdvsBP4cCBeBnjvuQrSqkLb0jlCzBR2Rdu9BQxuu6IwW+2wWAvYWQszItOEGQPijAoOx5FcelJp\nNTL3eMKkTKocedGorTEBb29Jd/eks3PS8yvM/U47WUNApp48DBgxELN+7bJCYtLsjK7V6zsrclhO\nI7mw5CmpZ35Zw+E4C3znZLj9US3BpVMf/PmavFohfUCeXmpSXuHI65Vit79Y/+z1xeb+3VoiWp0t\nGzi1KiT6jCWeM+npJebsjLRdQlEr9jRqBZPHwOAXpKbC3d3hRFTJjLZEJxMxIeOKBqZAuNxSfNNA\nIXp6zxBcqXGNyxq52ROHwLAoFDA1TKw/fqttrgQJQzRQfOZvjoFUVJrglA1piuTtRh+izmtOtXdE\nMrY3yNkaO0ykfiB5h5ROoxmHpN9vbInvvKupY8cOefxUs60PrT6EK08+terlJpMuzuD9F9qt6JjD\nPQISdrrZXZ5hlgvksIfdSeEZMSvYpylJx0FpV8uVwoPEIYVVwpc1uimEoA+IoHa1nJKqsBc1tC3m\nW6+R63uk8lCUBO+QzQaJQtxETSs7tYRFxM6dhjF1FHajNLnxoJ956fVBu95oF8NqexjvFU1sCz1g\nxBZZNJ8H1VBXOosvLVKpoEpshTweGeuSYpwgCf2zK3aFJd7vkdNANJazEAkD9Ah14bB3e+L5U5I4\n6rsTo1Mbpqs9+fKMXDfIWU1ZJ6rCI/ueRCKmSJzfH3d2AWFAbh8oP77WzopRypvxhQbtJBXusVyR\n3usxf6eiqvw0q2vDaGCJdIOmGTqnls00YQaj6vMY6fselx2jCN7ouEBzC1YaZJMgna1Jx07z23Ni\nfO+Jeq9Xtb4uY8hNPXPUe9U8HFo9FKcEDwfVMViPvX3Avr5RJ8t8QM3/qSd89C6l81w+TDyEgF0v\n8L4iLhbENGFDwseMGUd8a5FVwf7YYx/3mDFjq5JYZqbjI/QdZWGxqzURA6NQLCylL0kYvRbeXuPG\nE+5b1xoPgChdL2ViThhr9f4uvLanQ8QfYVM+JU+jxvc2JWQtDnIS7QQhSMw6FjQVEifSMKk+5tDq\n51GVxIyGvyxqDEaJc95ihwj+hNSFjr+6HrH6GtKUSMtSE+ky5M/SKesl5KN2BYYjTJPqHVKhbfVT\nr7yL1QpJAR6P6gb4bMO2BZw7dVHsj5oeONnPFfi5+iLO9b91fbG5f7eXtfoAvZ7zwVNFXDbw7FK9\n5xfn2n4tFnrjpMw0QjhbYsJIaANiLDYkcl1wKCfs7oEsBp8jZVHDhy8Jr2+w17cwJaaLS/UBC+ST\nx1U1y3Fk2o8cTjtKsZwlMMYjuwfyGMmbmqkqsTGRvCf+m/ehjcS20wPJY4vrO9w4kNqetGiQ7DSy\nUQxsVph+0Pahs5rmRZord6fVyapQi9/upOlrIYFPqqQ1lhwmYlERs2BjxuyOuikcOp2XPrmC1QLT\nau42Hx9xN4/ajm9b0pMLvfFzC8mSydrGL712FI79DABCtRBNRT50MPTEZaPkq1ErBBHRarufFMu6\nWag7oLCapLeotcthT3MHoMQsNJOdZQ1XylZXeE9BQrPDCUGZ7IcTeZg3rX7UXOpTiyyX5DGrX1vy\nrBfwKsDrTlAWGLcibJYMSRjOL4jdnmlhKWRDvrthFwcqL/jtRkV2vqZqtkxd1FS3J++AeIbSEZsC\nXEH17rvE7hbjJ2L1iIwDfU7I+YYkQqwWFGaB/Ye3qikBbcMeT4xnW+XFG69wkWNLiiPypJ+jTT3Z\nevKz2aNdeLjcQlJdQFotMV2PDDDh8TetHrQGCJIxyxo2W3h7rbG800iOmfGDl8jjnny2VtHj4QCF\nJ1UlMkXi5QbqH8Z841tIO2h4zeMj6eJSR15tD4+HOWExqK4E9IAyBMz+oN0j61jFgcEXsN2wrAqy\ntdgw4CK421tcXeLdM1JvINb0eWQ47DDVgtSc4UJBKhx+0XBRbbBlhQuqu8lTIL/6FHk44sKoYCPJ\niDGItYQXl/NhSsBYFTduVnB7j7QjFBZpR+ztI7kqlYB5eabtei+w0u5dzqhd9jSq4PHuQStlZ/W6\nXNR6n+aMTDP2WBNgEXvE7oPyCLoBrLb1ZZwQUeBWntMDKZWJkJ0l94MevkNSDYBF8wmcxg6zXpNu\n7rBdrxbb/YG0Vq1N7kekjYjG/8B2TR4m8vlaR45frP+mZX/t137t177fL+K7sdp2/H6/hO+sstCL\n/2xhfATDAAAgAElEQVStlK3VUvObX76YwzwKtczdPgBC6CMmBLJ1xGkCbxhrx7EUYgwUMWBiIHYt\nha+VF/7BS5KvmM7PCS9eQIpIUyPBYLsT4i11VbOyhs1uj4ui6WZDgEL93LkqyaVairg6J4+B8dSr\nn7xTzruxBlltMQG1IWXRefc8i/uOGlrtNUiGs/VMfjNKHdudNIbTGmQKpHlGF4qSyTimbmL0JUUc\nkEWj1VjK8O4zVZAfTlrJ3j0gMcyJUVrR5KLUKryuFP4iYHJS4M3QwSyWElHmuxk6pB80hrfSZDKZ\nRm0VGiGtG2S9wt3dI/2gGePO4aekVYQY0tKTnl9R+I0q9wuFgUhdKurXmFnZq2EZudd2shRWK3Xv\nMLuD8goWjbLpjz1yarHTRLJWw1Jixu732KomjCOprHFNgxDJQ8THSNH3Okv1jtJGuHqCOyZlcp86\nxmWNeX5BkAVp6aEQ0sWaCsAXxLcfY8JAKpbEy3NksdSUPAPOOc0zP50wQdXrw8VWfdpPLggJLBlj\nBel1M8kOTf86P1PtwrrRDpaxunEWVn3mq5psjI6nUlR7lmTSs0usn/nys10qZTO39ye9d8434Oak\nsuVSOyXLGhaNAm6OLenyXL93N5CvzpV4FhLmsMMME2Lm7sjhiN0dkThpBHMIhOUS4yxOwB335BBx\nxiKbFf7mjmIYMG2Pub4n9yNdngALxipnwayw64Z4c8fi1R3l61tMsyQbS86G9Pot8vevYL/HdC12\nvcast8oheP8p8Yd/SIVuIorYvb6DT68xuxPmcCRPEfetTzEPj9hx1Hz4IWhwjGGmVHYq2o1ZN3hn\nMTFDP2CmQS1p1oMDGVXMmaf4ORSKnDFTUjdIpzt+BnKpn4tUJflsozqO9VJz6JE5NjrowTYm/ayb\nRp8FxyN5nJC2RcIsAvV67WZfaLs/RB0XXpyTlw35YqtjhC+q9n9yLRblf/W/f1G5/0ssa8nvPSe3\nHenDl/PDzXxHoQuqovdaEZnCEoZxnk+vmAz0OTDWnnzzbbwtcGSdiXlH7kfKf/8f4dRzeLqhWy1w\nx57KZEyxUFFevSD3nUJS1ityPunrajzRF+qRz5m0rJGzNaRIsJmUE7br1VM+jphdJId583x6Ttqf\nMMcTGEN856nOUY8d8YOXSNNoxXC+JrcDpu30gewgUpNCT64MuTC440g0E67faxv8sCESEGnVymdF\n09tE9CHQj5iQ1WbjLbQd2TTqma5U/ZwfdnMspVd1MfJ5cl5+cqFzy8N+ZgpYzPUD47uXdH3Ah0hh\nHSxq5PU1FI7CW/ypI1yeaXciR1xeaYU1zAJIYyAK06IhDYOyfTZrtfL1PblpVLlclSo2a0+Y+4NS\n7w4n5Pqe+NF7ymQ3lmm5JN8ekMs1crEhful95PGARzBlQVkWmLxkUQ7KxfdgrSNWJWOxwlVL0jOB\nm1tcVdAUC0zIPF4aonPIlHC314yuUNjKoBZBkZ5D2iOrpfL/nVrW4vMnyMMOyXvyck18cUHuR/Ic\nXpTGAVmtkScljJHir/8zph3IXc9wcaZV8WYFx9NsF53fs2FCYsb2gTB02ukwlmIKYDyYHpyQy0bZ\nAbsTVHO7X83RalcMCYqZ1tj15NVSdROnA5y0KuVwwsSoscdNA/1uDj1ScSqAOXSkroNlgR0m2CyQ\nhx2mKlUweP9tYneOu3vQQ1sckWNLsV3QZEcQS0iBtDlH+pHicYd/+8jSF6RhIP71XzF+9X8ljb3m\nEoSAEYO0E/iWvD2DzRX5nSfYVUO+fcQ87OeOQ4tNibRYkJ1HRrUPCuh1kxJSFcix13a9s3pwKp1W\nz1H1Pxx7xHk9eGcNpzKj4mKTGPLZktx2yJjIzpLWCzCZ5K0KI50o2GhRka0jlwViK/KjcubN/gjD\nCCJk63SU0CjESpzVTb7rVBDsvd7LGLAeKRw5z8jcKc8+ffmCRPffsb7Y3P+llsj/G7ZgZ1V4Slp9\ntC10PbYpSBfnGO9wBI17dDVSeaq3jjj0OOeomw2cbyn/j/8Td/9AlyD9/QnjCoIrGNrIonSky/Us\nYApQeygWjM5jxsBgreY4L5e495/jVktM4fUg0JRkyYS3o0a85oSMCTEtwWTkUUV4cdnMJKoJs5tT\npySTLzdqjZlmu8zFFh6E3E3k0iG7rFY3a9Qm13dwbClkIBdvVPF7r+MIFsoqR1C/ec7aAXnUSort\nRiuyh8OsMHdQeqSp50p/VC1Bs9DNf1nBnUUOJ1X+ekMsHfftgbhekE2ifu8p2+TI7hEpKhgGxmmi\ndRYuzyi9pXj1Cn99i1QNKd2Rq4roLJSWvGqYrCHnjK/m2XrO5OKF4kUx5Ose0/dadcY5U/50hASx\n7eEwYJYNoWqQtMecLciFUbzqzT1Ts8M3BcVkyL4hPLH408BgIsV6ibElaTwyThODtThG5O4W8+El\nUjZMn37CKfRUxtJ0PT4IsXbE/T0unhiOBV4MddFoznsS0r95n/Dq7edhSHm2UOVmgQloIti6wb29\nxVi190k/4r/+Dcav/JCGuDTNXH0pZAbr4O4RiZPCcE495tuv4NPX5PWS+O5LBfyME6D447xek09H\n1POoMciECXrRDXiaIESS0Zlzbhqt3kNQ+EzXw6jcAhGr/AWjm2QuNPbYPH2qCvuyRFLC7I6Ux57g\nLPHQYVLUDbCuoGlI5xcwDYQg5LLAisFs17jdiVoECouZJmLXa2frfo8JA6wqQhSsF8pDD+0d5vqO\nabMiLmotAmImTyjkZZqgUu1GcgazWSD3jwqSYobeDD0yDMqNGAdVwxelJkdWBVIYJGa9t2pPun3E\nZK2eJUSdx4sobXL2oIsReHal7pb9Xg/5zmlHpCo0gGkKKk4cvwPPAch1SS4LHYccW4yzpG6AwqhY\ncJqT8lIiH1poCsgWNl5fY/lfr0i/WP+89cXm/r1eIjMnWogvn+tJ1ztcUSAPjzAGbGWJklj9/Svc\naaLJQt5eEi/WWnHEAMYxDZ1WXW2PfHRJ7nvk9kE3j1EDaMbzC8LCEk3B9MMfMbaqeHXbLVEyJoxq\ne9lsiP3AbrOiB4r7O94ZKmI1n9RD1AdAYZF9SyrHWaCEKmZvH7QtZ0Tb14VTq1ScH6ZVSb6LKpTp\nJswUKYYTkxiS91THR6TWDUBS0Crk7BycIKdJrYRhUkFiXUFVqR92dwKvIiJCVK9/UFV8dk6riO2C\n7K3aj64u4HAkZ+FUK9YVIJUF+/HI1p2RvUdu75Gc6EuPjREzRsLdkfrhoBtYHLEhE8OJfLbC3T5g\nXl9rQt87L1RQd75WRff9owoIp6iUr+sSQT3W0sxxqjGrMNAaUhbM6Uiu13DziNiMe3VL7DrswWPD\nRL46VyxpzEgOrJcb5P5Iy5FohUMYieKpnCWaROFKim4gpoEmjhAyp3SksWeEx1uMCIMI/cMbptMB\nqS9YL7eIVdqbOAvOUYZA7xzZe4ppIjWOWFqMB4kj3rhZ2T2SDwfk+lYphsulXittD/sOyEjXkcoC\n6Qf8bq+t4jQnK+528HYiX25hisj9g4afWEcOifjeO/rwN6IjiPYE7UDKUTszheoucjfo9bKpyG8m\n0naBuR7U3rWdEbnGkckzyW6DK0oYJyxGbVjDCTc4WBTEszVSVmTvdJZ/6hHrcAnSuqIEytMj7mmD\n7Fca6hIhXW5w3/pUxzemJKeAq1X0KUVWq9s0Yb/+TfJ2qV2LJ2fIqYWxJSSDHPZqmT07Iy4XmFWj\nGhdj9fBy/6BgnjDT4jqNc1UniCW/8xT5+C30Hbn2ek9igKgFxzBoAuKYkVrJimy3WsGHhKwb8mEG\n2xQKxZFZ6MekoVWITuYyKCynnUWl3pPLSg+yz55AWRDHHlltkPUS6XvSGOFio6OXqpjTGe33+AH9\nP876YnP/fi1j9CIuv6MCzZfnMIysRHCfvMKIwS9XuDEwtR1sl+R+Ynh+hXl7Q5lhXxmmZxtsGCmy\naIDEocMUjrEsMQ97QrVkrGqicezPHfZRaF5/C3/M5I3HvPMU+/qa4bCDzZJmu4SqZDcGzpPTKtOr\nz5sQ1G9PhUztjGrLmDknm6LUSulqS055buk32ubbnfAhYNME1mAKS5nQdt8wEO0Mhz0eSdSYaY9g\nNU0N0Yf5otFc8n4kxglzttLvuZvV0Gh0ZbTzvHjstbJPVmE5Z1tYLohjIG9K+rNKeeEhsEhWDySF\nI1cF0TvEFMi+VbDH8ai2nK7X1xUT+cklEgby/oAUBWHqKT59RViWmGAxwWsr2XvYHbQz8vwS9/AA\nIRLfe072lbaX3ymZTpNqL3qhHKNWbIcd5vYOUzm812pwSBGz62hS0Czyb3xMOO1wzhI/fEHfLHBV\nTahrxqImPARyioyuYnm9xxAIT1fEoiFKx+CX3NUBO0Y2hTCGjjQ2+McT5u0NeSYnkqHwidx12G5k\nLBLONOoq+Ogp8a8+wRwn8qIhvXyB6Sf45A3p2VOyMzof3u2hH0lhQhYLpOvJITPjHLQKbzskKkVQ\nyOp8SGlGPfe440ln1C9f6AZ594Dsjnpg2Gy1Ip9GOFtBVk57enmFfIrqLNqO+PR97D+80g7P+Zb0\nwTtqmVw0cFkQ+geddcuImQrywZEvtuT1gtg0mE2tB9vjEesMRgT/D/+BsjtiMkzvfkC2z0ljpO0m\npA+4sqQoRRXwzy5IT0bk3/9f84HUIqV2e7AOmSaS9wq96TtkGLUz1bbkxYJ0vgXj5rHFXtXpdala\ngKqYq/8I2WFf32F2e/0+YkjdRHh+oQI7bzWt7ekF+dW12gljVLFiqRY2edhrV26GHIlV8Vy+vsac\nlGInaT5Ux6DsilHFdpKSbv7OzKS7k95HzQJZ1TqHR2BRaGegrjWYZll/MWv/71g/cJv7OI78zu/8\nDn/yJ3/C4XDgo48+4hd/8Rf5qZ/6qe/3S/vur//nhftZhjKwWCwx1QH6RLJJb/x+nIEwnumjd8nG\n0sQJ/3jATHuKxYpQCm5OwTIxaftrWQOWnAM2l5j+GrqOpg1wmHCHlmp3ZPCW8tU104fvYcqCdHlO\nuldASLraYuoKHnZ6yg+9CqQSEBKx8ZimmlvoRtuuy5JcWMZkMaKV9XT3gD1FFeetasynr8AKsVrp\nzxZ7qDzmoHn0lCuyeOTJgswC6op8e0dfCuG8hmyo24htCui1zZ1j0halZGIS7DgiZUG6uoDTEUn6\n8zSbJevG0+cRP3VcHjMyHchtj3SDCtdNZuoi2WrATXaeJL36u188ReoK98kjIIyFp7SC8QVhuSJW\nDhOCPqzaTh/MQK4bwnYJdQlO/fUMAZsyoQGmgC89yXpS1+G8I5clZnfSrqd30Fhs44m+xr2+RlLE\neU9vEvnYki/OiNlyDEKYYDWBDROLj/fKBzCZ9U5IP/KMaC1mSEjak62jq9cUxhDf3GDbAZvBvn0g\nnq/AlxiB3FSINdjQaXckJnJVMP7olyALJgP7HXl/h8HCsUbK+WHdDzA73BNC3mxnouKBdBzIpSOd\nbXU0JAZOR1V+jwOEhHk8kJ5ewcri3tySnKhdq+8Vebx/JJ+fafeo8NB4onNkJ0zPz/CnBqzDANOP\n/ZBew8sa88kb5O2DZqJfntN1H2NMwtkCW4BIi4gHY7F9R748R9oDrjtRPDySiJRvb5CmBGtw3/oG\n4erLnMoC2dSkN48EsYpUP1+RCofdHzBdi4mJVHjCZqUb7mcsh27QjIWiQNpRyX6F+vvDxRZzc68W\nT7PV60tE/6lndn6YsPc7pJs0/tYI2YGZRrWylZ6Mg3WtvID1Wg/naUZql54UEsYYZLWG12/Uq24L\nZOzUQZGTCl1FlPdgUMcKqBfeWRXSZk0CzCnqqGGriF3pBrIz5OWZEhurSg/yTfUv/wz+H3j9wG3u\nv/Ebv8Ff/uVf8nu/93u8ePGCP/qjP+K3f/u3+fEf/3Ga5v8/XOH09GJmQI8gJeHlC8z9A+7mjpyT\n3ph9QBYVrk86W1+WGDHE8zPc9Y3O7NarWQkMziRKM7Hoe/ztA9aU2JTxn75FioL1FOi9Ydw9kjZL\n1mPAnq/JVYk5W5OqUtuq3mkgSs6k7YYkDpoR2x2xK0daqQiKwpPqkrTv1BInYK3Xmd04keyK+N67\nyl5/c4PtWpKd9EEvhT4rvNUHdFWQC49kGDeVtjUDpL5nbAeqwSA2aRqeMaAYch0l7A9zWIUnnZ8j\nC80pl3HibIwwCdgFRtTqpX7zgoyhiAnLhLRHJBuNXl2syOfnsKxUlPilD7B/9w/4YWKKQS18syOh\nD4Hp7Q2mn2icxxirGdqCAoz6jnyx0gNYtkhA7YbGwv6g+diHEyFmJAv+1BMuLym9Iy+XWkXePOCm\niWQ8lbGkaNmuzulqz3hzohwTtnRMPTRjCV4w4jGjkB46pmqLmMj5VLB/ck4OkWWzxe2uSY0ll5E8\nRkiGtF5oqzhpl8Y4Q5BM7LWaNr4kbDeksSOdPkWH8hl3Wqqb4e5BDzP9hOanQt6smBYVOaxBHOn9\n51AU2BDU+pW1beyOR4Ub1qVu3J/rR1ZIf4dYo7oMoxsKpc6Hk2QSQfUjx5ZQVrjnT0k5Qzdiv/UJ\n/v/+G+g64pNL8osnpJubOVPeEHwmWqE0DXmpFDVjC+LuiLm7x765hW7AxAmZmDMJnLoRqkrvU2PI\nXpPkgnd4BKaI/fhTdQRUik82QyCEoNbWZY1JqjhnnLCv3igfPkcNSbJr0nqjFttimkN0DPFyi1gL\n1iqfYUZgZwHJSYOgrNWxxWqp1Xjlkfsd2UGuGt2cz8907PG414fSNCEx6FyerKr5NIsSM8oUMEar\nbozO65mrdW8UzVzK56M6Ss1WyC5DafXzi1lhNe4Hbmv6V7d+oN7B6+tr/vAP/5A/+IM/4Etf+hIA\nP/uzP8vP/uzPfp9f2fdhiRC/9B68/w6y12S4ZIziO8WQyhITOpIBaQrwBWmzQoqCmBOxb9VL3B6p\nvv0x9sVT0vGA84KYiPUF0kXEowrYYcA4y7MkdBdXkCasiTNpqiUXpfLXyxJjgN09putJ3YDzFeny\njFSfIxLUkyqWlAZMMBgrpK6HGLCgat2iUN93XcD1A8Y58spjHm+R0kA8YkYPtiOtDXG7Yrd07A73\n+Ns9G6AYPISIa0dV2Pa9+s+bQgEddYHYrESvKWDEUdmNhrnsTrBQJa4k9fnmKSNJQ1/yZxAiyVgj\nSOFnTHCpLfRjqzhZAmL10GD6UWNZLzRbgDExDh02RBgHhv2eRb1QRf7DDnP3oLbJ3YHw3jPECMYV\nJLdQQeLrW9zjA5iIeX2j7dntBgMk7/TB346Isbjs4NQSXYn96ANcKlkGQ2EcuYjkaSDmjHhDOQjJ\nOLJY3BDZFg3HZYNMA83Vc1wYMTjydkDe3ABCWtSkTQNkYlNivCWMmWwbWHisLTR/wApiHeNlgxwa\ntU36gmgMtmlIl1vk+k5tgNstSNTNa7MhWrT6LL1u/ojqCpa12swQjQ7tB8S6GXTTwPmW3PWk1zdK\n/Vs25E0DlaKbsxEkJuypU5ZCd0veHcjvv6sV9je/rYpzBPu4Z3hyST51VMUFMb+BAFJ6zIdfmRkE\nqqAXSeS3d4pl7XdgPWl9iRxvofT0H/0YuAIbJoaqwtYl2Rq8dfD2WvkJMetBOGjlm67OyBfncDxA\nFmWv54xpWz0ckSEk7DBqsuI4aZfOWniygWWDdKOifu/3sFyS6hP20BIXtXYIqoJ0tprvU1FiY4ja\nBjc6msqjUu6ErFjaIejsvKp0PGMctBH90LK+L4tmbtsb8CUpzznvYdRuGJqDgBVt0w+jWkc96gLK\nebY//kBtS/9q1w/Uu/i1r30Nay0ff/wxv/zLv8zNzQ0/+qM/yq/8yq/wla985fv98r4/y1n1kueM\n2a7gr7+hQpfLLaEfEYPa0+Z5dDYG//oa93jQ2SWJNPa4YdCsbRHGZol9Tw8NZkiEy/PZzjISry7g\n2QVytyMfe9yra51z3t1rdXG2huGEdBZ5HMkJYjfgHvcz0MYgu6NuYOMIVUFRemJOSBa9b5MlL0q1\n6S1qzM0Opn5W6pZaBaUANiPpRNw8IQ8Tu/0bfB/wx56h7/B1g03gJqNzvDDpPNBkfOGhG2hNR65m\nyKm3TGmk6OdZblnOJKyowT7H2bpX+FlbkPQQ8lmsbl1pIIZkcosOiJtaq/2j+uZ9syD3QOMZbdBW\naN+Ty0rzu9tBfe69jgpyVSMi2PtHaCqK8ZGwWJD3HeWbTzHTiH14JARHDkeSdeSVUb9+IeQwYseO\nfL4mDguyMUgUjRfOJYtp4mQh9R2bdUX+t+8zffqppndtF8jQUh0M9TTCk3NSUZCtMA0D8eUFnkCc\nErms9HA5nBBbErKQVwVSWvLNvaa41Q1yPMDdLeFwwlRg0aqTZqEHmadPtA3/jW/hX70ivPtCYTfG\nKpGtKKA7YetSP5fDQZGmMSLTiDl1qpGoCtIH786hMIl0sdGf3Xu1HZ5v9HNZVpiUyTc3yO6E6ZSX\nzu5EenurjgsBvBCzfq0paqJcnBJm88Ma3fr+O3SLBbbrMLsD9uEBOyZyf9IuTLMix4nw4iVy9eNa\nFUdlTPoXV1BXuH7CG5BDq0yEaWJ6dqEiNIT48hnxyx/CsYMxahBQ5UmLNcSMeTySZ/ssRglxKQOb\npQKRcobHDnb35Hefw2pJ/vS1Bvf4gpwT+cUTuDzTqvrU6aGmrMj3D7BaILsDIOSLM43gdVadAbkn\nnY6Y9ZI4JRhbTIs6UUZDipreJsJM/ctItOSqhDaQ65oUglb5hSc1aseTxRL8qAe6zUoZF1+s78r6\nnm7uIQTatv0n//z169cA/Omf/im///u/j7WW3/zN3+Tnf/7n+bM/+zM2m8336qX+4C0RbTH+yEeY\nx70qZC82evoFjYW0VjdWr7NGGSdSjKTmHNMeiFXN69gTdwOHsxd88KUPKR9O2NATNwvS1buwXoB4\n8mqB//rfq9VmbofbV69Jqy+RSocsSpLxSFIGd04eqQvM/R2UDfnqApMjsTvBdo0ZA3apQRJ5irpJ\nlgV0E7nx0GoWdF422N7C0JGyQFPhvv2G6dRS94+USUgkfDtRTUFtcV2rM/2iUAxntGRbqco6DeQ2\nkVcLck7YblIk6uUKxGl4jDG6ce9O+rCbghK7Fo2+H8eO7LX1SK3AmlyW6sldlKSHE+wychqR9hZ5\nsiF3Qrk7MJ0OjDETzywllrDrKIdOxYZNoe9v20FTal5APyJONJJzd8DEiARwBCKOcDgynK9h2VAd\nB2Ts1ckwJXIXGIdENI+khSCHkeJyTdlcIOcbcmGYIgwyYkOP5Ex0FSk4jHfIYkkeRqYYMDngywb5\n8CXToFGc5u4Od/1INpnsG9J2hXmI+v49dsrGz4n0eEdxtmb0k8bQNufY1aW2yseE7I/Uf/V13VO/\n/Ybhf/t3xC9/pJ9hnimBJmt113bIscPudphJrVnJ2s+vex72mK4jDwOxrojna/AlrvRIqHWTdB5H\ngel22Ie9akhSQD4e4faOVBbY+z14y/DBC0VFf/vTOfEuYCYYnEceTlqNPh6wt3tEDFHQqrMuiSZp\n9+X2kbyuoS5JzRKpKnzbK9YiJaTtsPd7YmWhqhi/8iNwsYazrXYj7jXoh6ZWWM92rZqGu3s4daor\nuDxDxhE7jMSy0A7amxZOB4gRM73S0KphIpUleVFC1cDZRr9eStqBOPWYx4O6VIZRD7JZgU/Sdmpr\nXDR6b27XxKpWcWgYMdnB8UCeIC+8HpgjOusvC7IFYyw56XhMxEAIpFWN6Sdy26oA7+Vz/fpN80VW\n+3dxfU8396997Wv83M/93D/557/wC7/ANE380i/9EldXVwD86q/+Kj/xEz/Bn//5n/MzP/Mz36uX\n+oO7yoL09PI7v68rVcRWpc6vTh00NfFsgzGi6t/tivx24sEkVSXXJaO1fMzEjzDBeo0MI7YfiC+e\nwKnFtEo+I6MtwzmNKXcdru1J1zdMQ1IanFNVbXE4ICLqM+5OYJ3OTW8POsM2ifzkHIYIY6c4S+/J\nYwlXZ4oR7QaSJMx+j7WW+LAjPbvCZqHpE7I/QFlRJKft9ar63AecY9BZYj8h0kE3UNU16QImkzDr\nLf7JJRxbFS3V9dwW3yPHTqvDcSLnAGR4PGhHYKOkNRkCHI/qH7aGPKpwkVOhPPiuI0dBXhjcNz8m\ntx2rzZp2SsiQsUNLDpFkHdZnwqlXMJE1mN1JK6ShxRwHpXiBwkNAqzuj1ry0WMKbOzox1KVRVXLb\nkycwRUW8v0eOLenJOfn6NVK3uHpNGzTDe3IQYqQeR8yiwR17khVy2zJOBoqSlK16s2OehVIZc7dH\nUsT0gSAJU8x2xCkg50vMEIg2gywUSGM3SGGoeg+3r5DXt0zPr/Df+vQzK7QCc97cED96bz6U6uxZ\n7h6VbnjsFBrEnBFgwATl4PP2DVIvyMxaiDipZW+dCcFSFBYOA/lup5vtoiL3A3Q9sjuqSMxa0tma\n8Lwina+1a9O2qisZRkzpicuVKroN8PYR8/AIo3ZqsAVpU5HONpiQMG2C0CFtxgKT81BGXKdtaR4O\nlP/5b5G2xSUY/t2/VQ4A6KaYUVV5CPrrYv511xPef6n58w+P+pkcWigc5vGBPBpynCAFFd6OHfgI\ndY3xhcYsn63h6gJ2O3h1i5z22lnKgqlLZEqENGLbUdPgppE8DGp/u9RAJXnckTdrZH9QEV0Meq2e\nMrJaqVXxcIKHPXKxmVv6A/Y4kMdBbXL3RyhH7Zq1PSFleHquh5kv1ndtfU8395/8yZ/kb/7mb/7J\nP//jP/5jALbb7ef/bbVacXZ2xtu3b//FX9+/2vWPvaBX56RxREpP3B80532zhg8/IH39b4ljT7da\n4oBynGZF7ahzMFExDKcBqSvih+8rrWuYSOdr0tMnmFY3walcMYURs6iwxjONE0wdZVF8DrhJElWk\nVlY6EggJtmuYTmjCzNy6bGry+ky90aNiTuPZFjONOtfuB2hq1gOEIBhJGOt17kqGbQPHAZn/vrAK\nzHUAACAASURBVBGBY6u/F2FhnpLLhvzOu3A4YroRhtPnaWGS5sNB24EvMO0R6XSkEJsas6xJbx8w\n3pFWK6XPWbUOQSa7Adu14K0ekj55o4pyA3l/xG3OSM7NG2Ugu0yeBoxz8ORCISofv4EQlTE+B80w\nRfWB2wwxMdYl3VWDHF5jO0GaBSbM7Pv1GnM4Ym1A4lEVyd2ASQPm0CONMrtJA3J5zmQzxiea2yOC\nw5x68se3pItzOGvIp47UDRRjxJ12yDDoRpsnpBvwU2TyVkWFErCrJbGKcAT6g3LGw4Rrla9vgmbD\n++s7jSf+RyutlaVAmP3WzoMkmAYwWYl484xduoG03eg1PwWQHk4ttCelz2U0Itl7aDulvMVIPimo\nJl5tkbsdcgTIM66111jhPOsvCOSXT1Qn0tQkqTBk8qnFHk96vRilH8p6CRfPMIsa87hHDrdKRj+c\nkKVmDVB57VIB7ubvEXGw3SLThBsGprKAw3xPCDqOcF4hQid1p+SckeNREbkiajGMQS2FQ4CyQdoD\n3N1/B9O7qXSzHXrYnIMvsP/hPyG3N+Rjp59JCJhuUhfKeoEpnXaN9h25suRjR2qH7+Bsp0heHVQ3\nc+xgQrn8YkjzPN2ACuRiIo0TGu14UpfHOGEedzqS2szv+dCTv9jYv+vrB2rm/uUvfxmAv/iLv+Cr\nX/0qAIfDgfv7e16+fPn9fGn/epYI+eVzDXQwRk/4WcEgm8stb+9vmG4fqEPm2WYDfdCHalWpeMl7\nZcN3HVI4wpc/Ii0areKNIPcDaQyMxiONZXSeY7XArgp8HKhtYhVHzXsuPOb1Gw2+MJZ0tdWN0TvV\nA3QJxiOpMsjCqlBts9T2eNiTEvqwn7LOXgX8agVWtK3tvUZFioUSaPQQYfatVj3WKPjm1JKW81zy\n5h7udjBMhNCSb96QFxUlXu1bba96Be90Juks8dBrGMwwzOExRluaiwapSuSsI9NAmDASkbHV5K9x\nhAzutCM0JTmBk4i1FlDIjmTduPOyImWwhxNm7kDkRUVcL0jFE6TwDMNsQwRCkTB2bl1nIVclu/3X\n6fuRKQsL69mkhmwNZjBImLDekFKC0y1F4XBlweRPmOAwCHnoFALzcE877MmHB4rDyGKfcIVDdjus\nFbJYpGlwztCPHcY7prLEXt/iYkDcCjNG4vklZmGRT95ql8RaiJFwdY68e4U5DqQn54SP3tXPPicN\nc3Gq9Kao4LBTHcf+qB2ooSKvV2prlIQ8HJSceOoI89wXEWxTq3Cv7TSdrytIomTEtKgxWZnruVOI\nFF7TDiUmvDGkpAl4ufBYPHmaSPsjYnUGnZpau0iFxX38inh+DvudhintjhgraltbNMRVox0eY6Cq\n9OcMSbUCqxVMAXk4qtjsMyiMiEY6twNEpe7lEPT/vTwjXd+pNc5bFbiOR9JBbZ7ZWSSPEAttua80\ncVDevIHTHonK3ydFRUwnyNNRD7hNjWtHddgcAskoVTIvGu2oDCP0HalwpClixlFjqb1FDOSsscVS\n13pwOB2VdZHQw7ZBdSzzz8fxpAXFF+u7vn7gNvevfvWr/NZv/Ra/+7u/y/n5Ob/+67/OkydP+Omf\n/unv98v717X+seJ09tObuuLLT56TcSoWqyvicoHMsIm8XunDNSYNcxBU5OJkZuEXpE0mf/wW50oi\nQri8ILdQukwuV5xc1qTYQtT21KqnmbLAHVrCO08VYmIb8n6PUlEashG1jy1XpPsd9vFBYTXOwdlS\nH/imI2ej9rbKKEBGgP2RfLXRB3nwZDvo33FOLTkhY05H9d+GCdMeSadBq9A8kVvDVGRKPlP+FjNI\nRL4TF5uVjmZiVA2CGNifSMsG+bF3yN/4FDMVYCvS66gP4bohiSCX5/jakpcesy1JzpGWDTzu9TVH\nIZ2dYfpeDw5YyBN5HCEaWKxhsUS6idWhYwhqTau6OyRZqGvG7oaUe3zpcc4y+ohUa6w4TOHIx1bn\n9v2IyRO+KtSWFyCbEfEF2XtsIXRDD2HCWY8ZjrBvcSLknKGoVL/gDLEoYL0iLiuIkIfX5Gww5exP\nvnhGEphOA+Z00g2rKpGuJ37wPqHwmEOLvL1Fvv0KYy3p7Iy0Wenhshu0Yu9OJON0M96oTSo3aqOi\nC+RqQIxoLO7hRPov7L1Jj2ZJdqb3HDO74zf5GBE5VNbAItggG1K3RIg7QYAA7bQQuBX0cwhwxf/A\nnf6BAKEhaCVo1ZDUrRa7ySpWVkVmRPj0jXc0s6PFuZnVQAOChO4aILptMivL3SPc/fvusXPO+z5v\n3SC/+gSn3jrssrCo2C8/Ay/IwyN5tbKAm6/ubCS8aiEuyvVpMieC87bzHmb8pwdkHpA0mSL9eEJX\nK1sjDCPh2wfzXo4TDvs5Sd3iugE9Ls4MEeL1tdEP+5HclsSqNB0AGG55HO1jh9F20F5sAnG5LPbD\nQK5Kg8D4FqcWrsPpDOWC3BU1yqGAblZIVZkd7flgCYUy2rRomOyfy2NCRXCzpfjplI2iKB4RQS8X\nm/yIgzTh+hF1ydDTSUAyeR3ITYn7LsHt8WKfXxaQezSHpbibf56iRFcNen/9G34Y/sM8v1fFHeCv\n/uqv+Iu/+Av+/M//nGma+NM//VP++q//mqZ5Hdv8e58Fxyr3txaoojb+1fuFZT2M5tE9Xuyfojbe\ne77Yw28YANCf/MBGpCHgjjMFCY1q1jan8GZFPpzw+zNSmV1Nc7IxYz9AdsjjAVnEbPk8ousVNCvr\ncG525LpEXk72sA3e7EwuoHVhD/y6shSs48U+dxjRMVlnoWpdDktHP874lxM5WqymjjbSlFKYpTLQ\njDpoWoN6TCOSEgpm16pqu0Q0tRXc7cbiYwsP+4MptNcF7ucP+Kc9KkIOgbjbIuOMnDrrBG+25Osb\nKAX/9TeEf/0LSMp8s0XiiPu0tyjY4EBtjH5wM+nxa5g+o1nV5Cbhx5k4n1HXkKsKP0w474lVjQ9L\nym21xr/53CYmmuBmx/zyQq5LVAfScMEnx3m3psgljTrSdkvRXdDhxNR3RgycMpInxFeWoleZWFNd\nJntnF6YlbSyXgTSlBaCU0DnD6YFpuJDyxFy3ME+stMDVAX88ouMEwRP+5ufkqqBYPRE/vyOBhZzM\nPbJZm47idIQ6kuslv3x7bVOYlI2eWJQWXrREmhJHctPY67iwTANeDrgxojojUyKfLujdlb2myuVx\nuGpNqS7OchCmZL9/5+FmZ5Gt6wY5dMgpm3slzotmwMPk7KKA2uhaHNoUhnCdB9LbWxOsqZrFcbM2\naEs3IjhyVZLOZ7v8Xl9RHI8YT9/Q1ZLmRfiGgW4U2K4sbOkyoP3FtDgE+zzvYOzt/dJPUPXEdY1L\n0XLev3s+COi7e3R/Mn1Av0xRclqmf2rMAe9thaTY36nwqAumrL+7QbOg04T7/J3FIM/Rvv/J4pTd\nnFDv0W1L/PGXBs55Pf/Bz+9dcd/tdvzlX/7l7/qv8f/PsyjuCcGCPHQZFc7zkh+9iLMclrYGRqQr\nghVlnwGHu14T8IwKrXr88ZFpmhEVNqXgp9ry072Qiwo3nmBOpKaB/dF43ENeLhseCQLrjaVSHS/f\nRzxqTCYWLCtEI9P9Bj13FCGYCLCu4OOj7Surcom4zGgZDI85j+bljwMMS172/mgPXL9wbSobORb1\nmhyBomT+7DMTKV3tyG9voe+Q/QUdJ9QXFl0pilwyDod6wX34BE+PlmedBdfUpKk0z2+ccfNsdiGd\nkVQQ/ubvLTUvQ3k5E8sCmZMpuVMGyZxuKjQlY8mfT8SYWYXAhUQqt6QJunGkdY6QKzbrG6bzM0Ed\ndf3GCu/NBpwwRpg1U+EoPzySD0eGdaRMF/QP3nHxwubYoTFSPXdcwkhsIW8K/KEiicPVJdxfE3/w\nFi6zdan7M+nGkZ3g39yhxxH/4SOuH3D/4l+SvZDakjgq+suvyddbps5Rt/ckLxa08mKQFJ1NCOa+\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mRCo8m0ZxviXVgep8wmUlVyUIpPePRunb1Lg6oI8HfJ6phpm8qsllS9yt0DkTP39H0Z3R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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b7ba3b860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "42128 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
}
