{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CDFS SWIRE master catalogue\n",
    "## Preparation of Fireworks data\n",
    "\n",
    "FIREWORKS photometry of GOODS CDF-S catalogue: the catalogue comes from `dmu0_Fireworks`.\n",
    "\n",
    "In the catalogue, we keep:\n",
    "\n",
    "- The identifier (it's unique in the catalogue);\n",
    "- The position;\n",
    "- The stellarity;\n",
    "- The total magnitude.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "04829ed (Thu Nov 2 16:57:19 2017 +0000)\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "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",
    "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux"
   ]
  },
  {
   "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 = \"fireworks_ra\"\n",
    "DEC_COL = \"fireworks_dec\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## I - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "imported_columns = OrderedDict({\n",
    "    'Seq':'fireworks_id', \n",
    "    'RAJ2000':'fireworks_ra', \n",
    "    'DEJ2000':'fireworks_dec',   \n",
    "    'FU38':'m_fireworks_fu38', \n",
    "    'e_FU38':'merr_fireworks_fu38', \n",
    "    'FB435':'m_fireworks_fb435', \n",
    "    'e_FB435':'merr_fireworks_fb435', \n",
    "    'FB':'m_fireworks_fb', \n",
    "    'e_FB':'merr_fireworks_fb',\n",
    "    'FV':'m_fireworks_fv', \n",
    "    'e_FV':'merr_fireworks_fv',\n",
    "    'FV606':'m_fireworks_fv606', \n",
    "    'e_FV606':'merr_fireworks_fv606',\n",
    "    'FRc':'m_fireworks_frc', \n",
    "    'e_FRc':'merr_fireworks_frc',\n",
    "    'Fi775':'m_fireworks_fi775', \n",
    "    'e_Fi775':'merr_fireworks_fi775',\n",
    "    'FI':'m_fireworks_fi', \n",
    "    'e_FI':'merr_fireworks_fi',\n",
    "    'Fz850':'m_fireworks_fz850', \n",
    "    'e_Fz850':'merr_fireworks_fz850',\n",
    "    'FJ':'m_fireworks_fj', \n",
    "    'e_FJ':'merr_fireworks_fj',\n",
    "    'FH':'m_fireworks_fh', \n",
    "    'e_FH':'merr_fireworks_fh',\n",
    "    'FKs':'m_fireworks_fks', \n",
    "    'e_FKs':'merr_fireworks_fks',\n",
    "    #'F3.6':'m_fireworks_f3.6', \n",
    "    #'e_F3.6':'merr_fireworks_F3.6',\n",
    "    #'F4.5':'m_fireworks_F4.5', \n",
    "    #'e_F4.5':'merr_fireworks_F4.5',\n",
    "    #'F5.8':'m_fireworks_F5.8', \n",
    "    #'e_F5.8':'merr_fireworks_F5.8',\n",
    "    #'F8.0':'m_fireworks_F8.0', \n",
    "    #'e_F8.0':'merr_fireworks_F8.0',\n",
    "    'FKs.t':'m_fireworks_fkst', \n",
    "    'e_FKs.t':'merr_fireworks_fkst',\n",
    "    'F24.t':'m_fireworks_f24t',\n",
    "    'e_F24.t':'merr_fireworks_f24t'\n",
    "    })\n",
    "\n",
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_Fireworks/data/fireworks.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "epoch = 2008\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Add flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    if col.startswith('m_'):\n",
    "        \n",
    "        errcol = \"merr{}\".format(col[1:])\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",
    "        catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<Table masked=True length=10>\n",
       "<table id=\"table140638699176288-294223\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>fireworks_id</th><th>fireworks_ra</th><th>fireworks_dec</th><th>m_fireworks_fu38</th><th>merr_fireworks_fu38</th><th>m_fireworks_fb435</th><th>merr_fireworks_fb435</th><th>m_fireworks_fb</th><th>merr_fireworks_fb</th><th>m_fireworks_fv</th><th>merr_fireworks_fv</th><th>m_fireworks_fv606</th><th>merr_fireworks_fv606</th><th>m_fireworks_frc</th><th>merr_fireworks_frc</th><th>m_fireworks_fi775</th><th>merr_fireworks_fi775</th><th>m_fireworks_fi</th><th>merr_fireworks_fi</th><th>m_fireworks_fz850</th><th>merr_fireworks_fz850</th><th>m_fireworks_fj</th><th>merr_fireworks_fj</th><th>m_fireworks_fh</th><th>merr_fireworks_fh</th><th>m_fireworks_fks</th><th>merr_fireworks_fks</th><th>m_fireworks_fkst</th><th>merr_fireworks_fkst</th><th>m_fireworks_f24t</th><th>merr_fireworks_f24t</th><th>f_fireworks_fu38</th><th>ferr_fireworks_fu38</th><th>flag_fireworks_fu38</th><th>f_fireworks_fb435</th><th>ferr_fireworks_fb435</th><th>flag_fireworks_fb435</th><th>f_fireworks_fb</th><th>ferr_fireworks_fb</th><th>flag_fireworks_fb</th><th>f_fireworks_fv</th><th>ferr_fireworks_fv</th><th>flag_fireworks_fv</th><th>f_fireworks_fv606</th><th>ferr_fireworks_fv606</th><th>flag_fireworks_fv606</th><th>f_fireworks_frc</th><th>ferr_fireworks_frc</th><th>flag_fireworks_frc</th><th>f_fireworks_fi775</th><th>ferr_fireworks_fi775</th><th>flag_fireworks_fi775</th><th>f_fireworks_fi</th><th>ferr_fireworks_fi</th><th>flag_fireworks_fi</th><th>f_fireworks_fz850</th><th>ferr_fireworks_fz850</th><th>flag_fireworks_fz850</th><th>f_fireworks_fj</th><th>ferr_fireworks_fj</th><th>flag_fireworks_fj</th><th>f_fireworks_fh</th><th>ferr_fireworks_fh</th><th>flag_fireworks_fh</th><th>f_fireworks_fks</th><th>ferr_fireworks_fks</th><th>flag_fireworks_fks</th><th>f_fireworks_fkst</th><th>ferr_fireworks_fkst</th><th>flag_fireworks_fkst</th><th>f_fireworks_f24t</th><th>ferr_fireworks_f24t</th><th>flag_fireworks_f24t</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th>deg</th><th>deg</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th>uJy</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead>\n",
       "<tr><td>0</td><td>1</td><td>53.2033631</td><td>-27.9372714</td><td>0.379</td><td>0.03749</td><td>0.07</td><td>nan</td><td>0.536</td><td>0.01313</td><td>0.721</td><td>0.01757</td><td>1.179</td><td>0.04691</td><td>1.445</td><td>0.01582</td><td>2.636</td><td>0.06975</td><td>2.337</td><td>0.09936</td><td>3.067</td><td>0.09619</td><td>4.073</td><td>0.202</td><td>0.163</td><td>14.31</td><td>6.378</td><td>0.34084</td><td>7.421</td><td>0.3966</td><td>-20.498</td><td>7.01084</td><td>2560943517.16</td><td>88428268.3376</td><td>False</td><td>3404081897.01</td><td>nan</td><td>False</td><td>2216154325.96</td><td>26800346.3202</td><td>False</td><td>1868959971.65</td><td>30244571.8933</td><td>False</td><td>1225744632.05</td><td>52959163.043</td><td>False</td><td>959400631.516</td><td>13979194.8763</td><td>False</td><td>320331760.085</td><td>20578792.6828</td><td>False</td><td>421890746.568</td><td>38608885.2847</td><td>False</td><td>215377335.566</td><td>19081196.535</td><td>False</td><td>85270733.7344</td><td>15864524.1255</td><td>False</td><td>3124640085.81</td><td>41182747182.9</td><td>False</td><td>10204694.3194</td><td>3203511.12599</td><td>False</td><td>3904810.83749</td><td>1426357.49951</td><td>False</td><td>5.74380913496e+17</td><td>3.70890522572e+18</td><td>False</td></tr>\n",
       "<tr><td>1</td><td>2</td><td>53.2103094</td><td>-27.937425</td><td>0.295</td><td>0.04015</td><td>0.148</td><td>nan</td><td>1.008</td><td>0.01386</td><td>1.655</td><td>0.01861</td><td>2.027</td><td>0.04063</td><td>2.418</td><td>0.01656</td><td>3.004</td><td>0.05869</td><td>3.398</td><td>0.10536</td><td>3.512</td><td>0.08694</td><td>3.946</td><td>0.276</td><td>-0.171</td><td>14.31</td><td>5.323</td><td>0.53908</td><td>5.976</td><td>0.60521</td><td>-0.363</td><td>0.0</td><td>2766941645.41</td><td>102320164.49</td><td>False</td><td>3168108159.33</td><td>nan</td><td>False</td><td>1434828518.23</td><td>18316349.0133</td><td>False</td><td>790678628.0</td><td>13552582.2963</td><td>False</td><td>561306407.675</td><td>21004991.1239</td><td>False</td><td>391561514.84</td><td>5972222.95556</td><td>False</td><td>228244331.217</td><td>12337858.6257</td><td>False</td><td>158781536.421</td><td>15408183.5016</td><td>False</td><td>142955214.004</td><td>11447095.7596</td><td>False</td><td>95851739.7686</td><td>24366029.299</td><td>False</td><td>4250108331.76</td><td>56016415369.6</td><td>False</td><td>26964973.6354</td><td>13388406.8006</td><td>False</td><td>14777467.0617</td><td>8237241.05471</td><td>False</td><td>5072242398.93</td><td>0.0</td><td>False</td></tr>\n",
       "<tr><td>2</td><td>3</td><td>53.2042533</td><td>-27.9371053</td><td>0.239</td><td>0.04178</td><td>0.109</td><td>nan</td><td>2.189</td><td>0.01459</td><td>5.447</td><td>0.01962</td><td>8.797</td><td>0.04467</td><td>13.027</td><td>0.01763</td><td>30.494</td><td>0.06376</td><td>42.097</td><td>0.11064</td><td>47.728</td><td>0.09499</td><td>66.075</td><td>0.249</td><td>0.163</td><td>14.31</td><td>58.354</td><td>0.4049</td><td>64.601</td><td>0.44825</td><td>-11.14</td><td>6.91829</td><td>2913399222.57</td><td>112109938.847</td><td>False</td><td>3283976192.5</td><td>nan</td><td>False</td><td>483503920.592</td><td>6497270.85688</td><td>False</td><td>24054703.0499</td><td>434685.029172</td><td>False</td><td>1099512.06688</td><td>45236.7746532</td><td>False</td><td>22346.0105773</td><td>362.850722626</td><td>False</td><td>0.00230356250012</td><td>0.00013527700777</td><td>False</td><td>5.2625956208e-08</td><td>5.36275364986e-09</td><td>False</td><td>2.9430659897e-10</td><td>2.57485968632e-11</td><td>False</td><td>1.34896288259e-17</td><td>3.09367741716e-18</td><td>False</td><td>3124640085.81</td><td>41182747182.9</td><td>False</td><td>1.65348401217e-14</td><td>6.16628305839e-15</td><td>False</td><td>5.24324317246e-17</td><td>2.16469133271e-17</td><td>False</td><td>1.03752841582e+14</td><td>6.61111090559e+14</td><td>False</td></tr>\n",
       "<tr><td>3</td><td>4</td><td>53.1488222</td><td>-27.9376047</td><td>0.349</td><td>0.04305</td><td>0.487</td><td>0.02308</td><td>0.46</td><td>0.01467</td><td>0.572</td><td>0.01963</td><td>0.741</td><td>0.02594</td><td>0.845</td><td>0.01759</td><td>1.515</td><td>0.03693</td><td>1.983</td><td>0.11174</td><td>2.569</td><td>0.05305</td><td>3.534</td><td>0.248</td><td>0.055</td><td>14.31</td><td>6.592</td><td>0.39171</td><td>10.279</td><td>1.5538</td><td>45.7</td><td>5.27653</td><td>2632691674.22</td><td>104387581.512</td><td>False</td><td>2318462095.41</td><td>49284628.1884</td><td>False</td><td>2376840286.62</td><td>32114842.3088</td><td>False</td><td>2143877665.97</td><td>38761089.8473</td><td>False</td><td>1834847607.76</td><td>43837487.1692</td><td>False</td><td>1667247212.55</td><td>27011053.2745</td><td>False</td><td>899497581.53</td><td>30595319.1395</td><td>False</td><td>584520840.359</td><td>60156747.482</td><td>False</td><td>340721861.659</td><td>16647961.7073</td><td>False</td><td>140087698.395</td><td>31998333.5269</td><td>False</td><td>3451437393.36</td><td>45489934739.7</td><td>False</td><td>8379150.67438</td><td>3023015.25571</td><td>False</td><td>280801.872812</td><td>401856.314695</td><td>False</td><td>1.90546071796e-09</td><td>9.26027942892e-09</td><td>False</td></tr>\n",
       "<tr><td>4</td><td>5</td><td>53.1564111</td><td>-27.9386647</td><td>0.0</td><td>0.01675</td><td>-0.011</td><td>0.00939</td><td>0.001</td><td>0.00578</td><td>-0.004</td><td>0.00778</td><td>-0.009</td><td>0.01009</td><td>-0.003</td><td>0.00701</td><td>0.004</td><td>0.01604</td><td>0.024</td><td>0.04537</td><td>-0.004</td><td>0.02234</td><td>-0.036</td><td>14.31</td><td>-0.025</td><td>14.31</td><td>0.434</td><td>0.31075</td><td>0.68</td><td>0.48759</td><td>-10.378</td><td>5.95989</td><td>3630780547.7</td><td>56013213.806</td><td>False</td><td>3667752315.99</td><td>31720591.1494</td><td>False</td><td>3627438014.76</td><td>19310944.6231</td><td>False</td><td>3644181507.89</td><td>26112910.3065</td><td>False</td><td>3661002285.47</td><td>34022548.8461</td><td>False</td><td>3640826637.89</td><td>23506810.0518</td><td>False</td><td>3617428867.64</td><td>53441672.8324</td><td>False</td><td>3551403349.83</td><td>148403607.871</td><td>False</td><td>3644181507.89</td><td>74982315.713</td><td>False</td><td>3753185242.38</td><td>49466970506.3</td><td>False</td><td>3715352290.97</td><td>48968332317.6</td><td>False</td><td>2434445183.69</td><td>696765786.677</td><td>False</td><td>1940885877.59</td><td>871626589.321</td><td>False</td><td>5.14280431949e+13</td><td>2.82301979996e+14</td><td>False</td></tr>\n",
       "<tr><td>5</td><td>6</td><td>53.1297942</td><td>-27.9382439</td><td>0.497</td><td>0.04684</td><td>0.625</td><td>0.02433</td><td>0.919</td><td>0.01612</td><td>1.376</td><td>0.02154</td><td>1.414</td><td>0.02527</td><td>1.749</td><td>0.01872</td><td>1.974</td><td>0.03583</td><td>2.09</td><td>0.1209</td><td>2.213</td><td>0.05169</td><td>2.525</td><td>0.392</td><td>0.006</td><td>14.31</td><td>2.595</td><td>0.37657</td><td>2.263</td><td>1.5004</td><td>7.907</td><td>5.0047</td><td>2297206307.16</td><td>99104315.5379</td><td>False</td><td>2041737944.67</td><td>45752811.7568</td><td>False</td><td>1557399389.08</td><td>23122815.6913</td><td>False</td><td>1022350938.5</td><td>20282495.0654</td><td>False</td><td>987188301.068</td><td>22976343.8473</td><td>False</td><td>725103497.617</td><td>12502058.4336</td><td>False</td><td>589386250.241</td><td>19450129.0954</td><td>False</td><td>529663443.892</td><td>58979621.4641</td><td>False</td><td>472933414.919</td><td>22515531.9589</td><td>False</td><td>354813389.234</td><td>128103721.668</td><td>False</td><td>3610771451.0</td><td>47589957153.0</td><td>False</td><td>332659553.294</td><td>115377572.78</td><td>False</td><td>451647904.929</td><td>624141033.14</td><td>False</td><td>2495743.79483</td><td>11504128.6412</td><td>False</td></tr>\n",
       "<tr><td>6</td><td>7</td><td>53.1597975</td><td>-27.9386511</td><td>0.004</td><td>0.02228</td><td>0.113</td><td>nan</td><td>0.0</td><td>0.00764</td><td>-0.003</td><td>0.01036</td><td>0.02</td><td>nan</td><td>0.007</td><td>0.00926</td><td>0.041</td><td>nan</td><td>-0.003</td><td>0.05832</td><td>0.077</td><td>nan</td><td>-0.081</td><td>14.31</td><td>0.029</td><td>14.31</td><td>0.436</td><td>0.29995</td><td>0.684</td><td>0.47064</td><td>0.425</td><td>6.70151</td><td>3617428867.64</td><td>74231949.5453</td><td>False</td><td>3271899836.23</td><td>nan</td><td>False</td><td>3630780547.7</td><td>25548713.6405</td><td>False</td><td>3640826637.89</td><td>34740449.6629</td><td>False</td><td>3564511334.26</td><td>nan</td><td>False</td><td>3607447338.64</td><td>30767107.341</td><td>False</td><td>3496230040.03</td><td>nan</td><td>False</td><td>3640826637.89</td><td>195565928.99</td><td>False</td><td>3382205566.7</td><td>nan</td><td>False</td><td>3912010393.87</td><td>51560285538.1</td><td>False</td><td>3535086133.62</td><td>46592424891.4</td><td>False</td><td>2429964897.7</td><td>671312209.975</td><td>False</td><td>1933748545.3</td><td>838232538.778</td><td>False</td><td>2454708915.69</td><td>15151246014.9</td><td>False</td></tr>\n",
       "<tr><td>7</td><td>8</td><td>53.1559294</td><td>-27.93864</td><td>-0.019</td><td>0.02712</td><td>0.002</td><td>0.00928</td><td>-0.01</td><td>0.00939</td><td>0.023</td><td>0.01252</td><td>-0.009</td><td>0.01012</td><td>0.009</td><td>0.01128</td><td>0.001</td><td>0.01605</td><td>-0.017</td><td>0.07367</td><td>-0.008</td><td>0.02229</td><td>-0.035</td><td>14.31</td><td>-0.025</td><td>14.31</td><td>0.472</td><td>0.28056</td><td>0.779</td><td>0.41097</td><td>-14.357</td><td>6.06506</td><td>3694877122.54</td><td>92292277.9255</td><td>False</td><td>3624098559.0</td><td>30975880.2185</td><td>False</td><td>3664375746.48</td><td>31691388.8555</td><td>False</td><td>3554675819.99</td><td>40990197.3161</td><td>False</td><td>3661002285.47</td><td>34123706.0775</td><td>False</td><td>3600808291.73</td><td>37409747.7387</td><td>False</td><td>3627438014.76</td><td>53622951.7647</td><td>False</td><td>3688077172.26</td><td>250245542.232</td><td>False</td><td>3657631930.09</td><td>75090630.0854</td><td>False</td><td>3749730022.45</td><td>49421430717.9</td><td>False</td><td>3715352290.97</td><td>48968332317.6</td><td>False</td><td>2350715115.94</td><td>607437267.024</td><td>False</td><td>1771740039.94</td><td>670634359.455</td><td>False</td><td>2.00816780418e+15</td><td>1.12178797843e+16</td><td>False</td></tr>\n",
       "<tr><td>8</td><td>9</td><td>53.1508114</td><td>-27.9385994</td><td>-0.015</td><td>0.03074</td><td>-0.004</td><td>0.00808</td><td>0.004</td><td>0.01046</td><td>0.002</td><td>0.01413</td><td>-0.008</td><td>0.00832</td><td>0.005</td><td>0.01268</td><td>-0.006</td><td>0.01316</td><td>-0.032</td><td>0.08013</td><td>-0.019</td><td>0.01826</td><td>-0.029</td><td>14.31</td><td>-0.055</td><td>14.31</td><td>0.837</td><td>0.27788</td><td>1.313</td><td>0.43601</td><td>3.454</td><td>5.44554</td><td>3681289736.43</td><td>104226833.371</td><td>False</td><td>3644181507.89</td><td>27119834.8685</td><td>False</td><td>3617428867.64</td><td>34850367.6949</td><td>False</td><td>3624098559.0</td><td>47164783.1344</td><td>False</td><td>3657631930.09</td><td>28028445.1463</td><td>False</td><td>3614098626.4</td><td>42208015.5215</td><td>False</td><td>3650900524.84</td><td>44251864.0314</td><td>False</td><td>3739383436.43</td><td>275975686.772</td><td>False</td><td>3694877122.54</td><td>62140744.6504</td><td>False</td><td>3729065399.62</td><td>49149071049.4</td><td>False</td><td>3819442708.4</td><td>50340243714.5</td><td>False</td><td>1679577313.99</td><td>429865875.307</td><td>False</td><td>1083427862.15</td><td>435083015.659</td><td>False</td><td>150799534.18</td><td>756339239.459</td><td>False</td></tr>\n",
       "<tr><td>9</td><td>10</td><td>53.1419553</td><td>-27.9386</td><td>-0.036</td><td>0.0245</td><td>-0.009</td><td>0.00965</td><td>0.011</td><td>0.00834</td><td>0.002</td><td>0.01102</td><td>0.004</td><td>0.00918</td><td>0.008</td><td>0.01</td><td>-0.007</td><td>0.01416</td><td>-0.041</td><td>0.06486</td><td>0.005</td><td>0.02018</td><td>-0.035</td><td>14.31</td><td>-0.06</td><td>14.31</td><td>0.525</td><td>0.27571</td><td>0.824</td><td>0.43261</td><td>-5.626</td><td>4.84518</td><td>3753185242.38</td><td>84691878.2254</td><td>False</td><td>3661002285.47</td><td>32538909.4514</td><td>False</td><td>3594181463.15</td><td>27608431.285</td><td>False</td><td>3624098559.0</td><td>36783857.7595</td><td>False</td><td>3617428867.64</td><td>30585695.5487</td><td>False</td><td>3604126286.49</td><td>33195229.8422</td><td>False</td><td>3654264677.51</td><td>47658342.4286</td><td>False</td><td>3770509158.33</td><td>225243685.287</td><td>False</td><td>3614098626.4</td><td>67173324.3868</td><td>False</td><td>3749730022.45</td><td>49421430717.9</td><td>False</td><td>3837072454.92</td><td>50572603722.1</td><td>False</td><td>2238721138.57</td><td>568497027.556</td><td>False</td><td>1699808513.2</td><td>677286211.581</td><td>False</td><td>646249172495.0</td><td>2.88393585096e+12</td><td>False</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(\"$('#table140638699176288-294223').dataTable()\");\n",
       "    $('#table140638699176288-294223').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": 6,
     "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": 7,
   "metadata": {
    "collapsed": false
   },
   "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 6308 sources.\n",
      "The cleaned catalogue has 6308 sources (0 removed).\n",
      "The cleaned catalogue has 0 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "SORT_COLS = ['merr_fireworks_fu38', \n",
    "     'merr_fireworks_fb435', \n",
    "     'merr_fireworks_fb',\n",
    "     'merr_fireworks_fv',\n",
    "     'merr_fireworks_fv606',\n",
    "     'merr_fireworks_frc',\n",
    "     'merr_fireworks_fi775',\n",
    "     'merr_fireworks_fi',\n",
    "     'merr_fireworks_fz850',\n",
    "     'merr_fireworks_fj',\n",
    "     'merr_fireworks_fh',\n",
    "     'merr_fireworks_fks',\n",
    "     #'merr_fireworks_F3.6',\n",
    "     #'merr_fireworks_F4.5',\n",
    "     #'merr_fireworks_F5.8',\n",
    "     #'merr_fireworks_F8.0',\n",
    "     'merr_fireworks_fkst',\n",
    "     'merr_fireworks_f24t']\n",
    "FLAG_NAME = 'fireworks_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": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_CDFS-SWIRE.fits\")\n",
    "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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unYHpdhzWjn+Guu6lttbJ22+/xeHc3HY9R63bwz3Pvs57X3zH3AdvJzEuBrut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\nAFQFTkqwkOSwtJr0m0UV5s7Q3zasqgo6Cn1SdA5VufnuqDtkR2sdFoV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5eZx22mkALF68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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe901aa9ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wdepUzJkzBwCQl5eHFStW4J577sFnn33W0ZXT2NjY6VgNDQ3IzMzsM1aiYUdK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\n0TAUUS0VLpcLCxcuxPjx47Fnzx7s3r0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe8ff6cf7b8>"
      ]
     },
     "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": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.16079856930133474 arcsec\n",
      "Dec correction: -0.2589072199192799 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": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL] +=  delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] += delta_dec.to(u.deg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xKRw5IQ2HBnofvd9YNtydoxmj08MHfq3GAPsnkO4OTyhJcUb/cttEtxn7Igmz\nQejvaDxeR1Z7ChNdg3EZDgqjdJTZnzSXzvQxHup8Jtt2CxMNcMUoTLvTNI2CDBd5qU62ecNDdrtf\nlZWbqg9p+GsotUDv/aBzgsc2r0Fdezwuduh76FEp8IdstjQZ+GMSpmG2gtVVAb5uMDi1JJ3CTFfX\nuo9nw+1x6kwbnUKT36J8t9EMjfA1jcW5bnJT9JjXkug2Y18iYTZIux+Nd38sXrqHyfbm8GyuTI9G\nSa4bTwyOMvuiaRpjMlzkpTnZ2nH+R9OgMNPBuMzYhml3LofG5HwPrUGLLY0hDEvFJUz70r3hUgoa\n/RbbmkOYcb0a/tteWuc1Y96AxfraYNwqaDNsXvqqlaIcF98tySDVFa4p3p+T3FQHh3pS2NkSoqYt\nPKQ6Jt3BxGxXXK6V6zQS2ox9gYTZEHU2XInaKbuHiT9kkxnnhruTUw+Hic+wcOo6Hmdi1kemx8Eh\nY3VaghaZHkfcwnR3mqbR2G5S2Wrii2EvKIJKqGgM4A3atIcScW8Z2OYN8eyGZi6akRPRebRYcOga\nRTnha9NsW5HmTtz9WhPdZuztJMySnFPX+ryoM97SXLEfstkTTdPI8gxuun0s2IqYDudFym+qOPcK\nexvK7NdYSHHqcjuovVziW0EhhBBimCTMhBBCJD0JMyGEEElPwkwIIUTSkzATQgiR9CTMhBBCJD0J\nMyGEEElPwkwIIUTSkzATQgiR9CTMhBBCJD0JMyGEEElPwkwIIUTSkzATQgiR9CTMhBBCJD0JMyGE\nEElPvs9MCCH2Yc+XVUW87PkzxsWwkuGRnpkQQoikJ2EmokIpJd/k20EphS3rostI2C9Gyv45EmrY\nW8kw4xB17pRKKTRN22frUEqxpdHgnXIfaS6N0ydnMiYjMbtVotcFwFe1fq57dTvVrSEuPnwMR0zI\nSFAtigPGpNBu2LyhJ27/9IdsHl3dxGHjUjhyQhrOBNTSErDY0mSgFJTmuclOccS9BlspKltCVLZa\nZKfoFOe6cTsSt132RhJmQ9DZaGqa1uOIL56NVvcjvO51xLOG5oDFm5vbqGs3MW0IWornNjQzdZSb\n44vS8Tjj1/Hva5vEc120BS3+vLKKl75swjAVClj6aQ1vfePlP48sYGymO261QHhd6JpGultnTLqT\nCVkudrWEiHe/wO54wzVVATbWBTmtNINJOfFZFyFLUdFk4A3YXX/3pgaDTLdOSV78wqQ5YFHeZGBa\n4S3jDdjJ4JpSAAAgAElEQVSsrQ4wIdPJ2ExnQg+G9yYjMsz8fj933XUXK1asoLm5mcmTJ/OrX/2K\n4447rs/lX331VR555BG2bt1KZmYmp512Gr/97W9JTU2Nal19hVbnv+PZgPZXR7yC1bQVn+5sZ011\nAMumRwNpKfi63mBzY4gTi1KZNjolprXsaZvs/rtYvP/rm5q5/e1dBEwbw/p2bQQtxdbGAAvf3M6s\nydmcc1A+bkcsA777lgj/zZqmoWkwNtPJqHQnFY1BmoN2DGvom6nADCn+vamV8ZkuTi1NJ8Mdmx6S\nUoqaNpMdLWZXmHayFTQHw2EyPtPBuExXzPYPoyNMWwI2u69xW8HOVpMan8XkPDcZHjnjM1wjMswW\nLlzIxo0bWbJkCYWFhbzwwgvMmzeP5cuXU1JS0mPZFStWcM0113DPPffw3e9+l4qKCn72s5/hcDi4\n4YYbolLP7r2gvsQjTPb02rsHayzq2O41eGtLG0FTYfZzmG8psCzFe1vbKasJctrkTPJSo9twjYRt\nsrUpyM2v72BTnR9/PyvDVmBbinc2N/PR1lYuO7KAg8elR7WOsM737/tv1DUNtwMm53toM2zKmwxC\nVrz7aWDasL05xD/WeDlqfCozC1PRo7hd2gybLY0Ghql6BUh3toJdrRa1PpvSPDeZUQwTpRTVbSY7\n+wjT3WsIWoov64Lkpursl+tOyDDs3mLEHQ40Nzfz8ssvs2DBAoqLi/F4PMydO5fS0lKWLVvW5/Lz\n58/nzDPPxOl0MmXKFE4//XQ+/vjjqNTTvSHcU2PYfZlonnAebIO8ex3R0GbYvPRlC//e1Iov1H+Q\ndWfaUOuzWFbmZeVWX9Qaz+Fsk2gImDb3razih09sYl11e79B1p1hKVqCFg/9XxX3rdhFY3soKrWE\nQ0wRDrE97xsOXSPLozOjIIVxiTq3SXjfWLXLzxNrvFS1Dn9dmLaivDHIxtoggT0EWafuYbK5IYg5\nUPJEqM2wKasJsrN54CDrUQfQ6Lf5oipAbVtIJokM0YjrmW3YsIFQKMTBBx/c4/EZM2awdu3aXsuf\nc845vR7bsWMH48YN73qISI78+xPNocfh9Cqi0TOxlWJNpZ9Pdvl7DSlGylKwribA1/VBZpVmUJw7\ntHMmw10Xw30NgA+2tnLL6ztoMyyCkST6bgxL8VVtOze/to3ZB+Zx2v65Qzwa7z2kGClN03BoMD7L\nxZgMJ1saDdqMBAw92uEhvxc3tlCS5+bE/dJJdQ3u+FopRb3PZFtHeAxl/1SEw6QpEKAo28no9MGf\nxzJtxbYmgwa/PeQalIJtzeGhx9I8N2mDXBf7uhEXZo2NjQDk5OT0eDw3N5eGhoY9Pv+FF17ggw8+\n4KmnnhrS+w8nxHY3nDCJVh3DCdbq1hBvbG7DF7Ixh9nWWQr8puK1b1oZm+FkVmkGWZ7Ihh5Hwjap\nbjX4w1s7Wb3TR2AIIdZd5zDsvzY2sqK8mcuPGsuUUYM5vzvwkGKkdF3Do2tMG+WhKWCxzWsMezsP\nhalgS6NBRZPB8UVpHDQmsvOs/lB4SNEfiqwnNpDuYVLdZjE5P7IwUUpR5zPZPoww7c5W0B5SrK8J\nMibdwcRsFw4ZeozIiAuzgexpB1+8eDEPPPAA9913HzNmzBj068fi3MpgwySaDXd/dezptf0hm5Vb\nfWxpin7jZtqwq8XkybVejihM5bDC1AE/rIneJiFL8Y/VdTz0SQ0hSxHN00yGFe5V3LdiF4cUpvPj\nmaPJ9Az0kYxOiO1O1zXyUh3kpKSy3WtQ127t8Tkaw2+4u7NU+L+V29pZVxOe9Tgqve91YdmKnc0h\nanxW1Gdn2h0HXZGESXtHmAaiEKa7U4SH6Bv8FsW5bnJTdJn1uAcjLszy8/MB8Hq9FBQUdD3e1NTE\nqFGj+nyObdvcfPPNrFixgqVLlw46yGIVIN1FEibxmH03UM9EKcXG2gArt7VjKSIe8x+sznMmn1X6\n2VAb5LTJGYzPcvVcJk7rYqD3+mKXjxte205Duzns3thADEvxxa42yqp8/HDGKE4oyd5tUsTQhxQj\n1Tn0WJTjpiDz2x5Pf2K1Nkwb6tst/rm+mQNHezi2KL3HFPomf3ia+1CHvCPVFSbtFsV5PcPEshU7\nmkPUxiBMd6/BtGFLg0G6W6Mkz01KHC93STYjLsymT5+O2+1mzZo1nHHGGV2Pf/7555xyyil9PueW\nW25h7dq1PPfccz0CMBLxvkasrzCJR5juXgP07JnUt5u8ubkNb8CK21CTaUOrYfPSVy0UZbs4uSSD\nVGfvKfaxtvs28QYs/t87u3i3vCWmIdadaYfPuzy7tp53Nzdz+dFjmZTjIVa9sf7oukaqpnPQ6BTq\n2022eeN/bRqEe2kb64JsajA4tSSdCVkuKrwGbYaK2UHW7hQdQ6DdwsQfUnEJ0+5soNVQrKsJMjbD\nwcTseF6zmDxGXMxnZmYyZ84cFi1aREVFBX6/nyVLlrBr1y7mzp1LWVkZZ555JpWVlQC8+eabvPHG\nGyxZsmRIQRbJjLho62uGXSLr2OY1+Oe6Zurb4xdk3Zk2VDSFuma1JXJdNLabnP3YV7y1uTluQdZd\n0FJUthis2OLFtiOfpRhNmqah6xqj0p2kOBM3tGV1zDZcuc3HmuoALcH4BVl3nWGytjrINw3hofdE\nBLytoLp1z0PA+6oR1zMDuOGGG7j77ru58MIL8fl8HHDAASxevJjx48ezc+dOKioqCIXCDd+TTz5J\na2sr3/3ud3u9zmuvvcb48eP7fZ9Ej0F39ggSXYc3ENvhkkjYwKi0xN8NodFvoRSEEhDqnRRQmOVG\nT/CJf13TCCbgWrTdOXQNW0Hi7/6kUHE+sNhdAnfLEW9Ehpnb7eamm27ipptu6vW7o48+mq+//rrr\n57///e9xrEwIIcRINOKGGYUQQojBkjATQgiR9CTMhBBCJD0JMyGEEElPwkwIIUTSkzATQgiR9CTM\nhBBCJD0JMyGEEElPwkwIIUTSkzATQgiR9Pq9nVXnjXyHorCwcMjPFUIIIQar3zA79dRTB33TV6UU\nuq6zcePGYRcmhBBCRGrAGw3/5S9/ITs7O+IX83q9XHXVVcMuSgghhBiMAcPssMMO6/rm50jU19f3\n+KJJIYQQIh76nQDy9ttvk5eX1/Wzbdvs2rWrxzJfffUVpml2/ZyXl8fbb78dgzKFEEKI/vUbZuPH\nj+86Z1ZZWck555zD/fff32OZhQsXct5551FdXR1+MV0f8MswhRBCiFiIaGr+XXfdRUZGBpdffnmP\nx2+77TZyc3O58847Y1KcEEIIEYmIwmzVqlX84Q9/YNq0aT0eLy0t5frrr2fVqlUxKU4IIYSIxIAT\nQDoFg8F+p+m7XC6CwWBUi4oXy1Y49MFdfhDt99cAWyWuDqUU+akOdA2UgkRN33FoUN0WIsujD/qS\nkGjKTtHRtHA9VoJWhq5BRWMQy1boGglbH4Zh4MKkzbBwuT0JqQEgaIY3hFIqgfuG6vb/xO2fifuE\nhj1fVhW39zp/xrhBLR9Rz+zII49k0aJFtLS09Hi8traW2267jcMPP3xQbzpSfN1gEDRtLDu+O4it\nFJat2N4c4rPKAJWtISxbYcd5JmjnzNMJ2W4unJHDuEwnzgTcE8ahwdRRbvbLcaNpGkqpuM+KDVk2\nPsPmmfWtFI3OJjfdg6bFv9ly6RpjMtxMykvjy7oAflPFf/+0bQKBAP98ZhnXXv4DXn7iEYIBP7Zl\n7vnJMRAwFWur/TT5rbivi7DO99Q6/lPEP1QS8Z7JJaKe2XXXXccll1zCsccey8SJE0lPT6elpYWd\nO3eSk5PD448/Hus6Y6I1aLO2Osi4TAeFmS40DfQYH/lZtqI5YFHhDWHa4ccqWy0a2m2Kc11kuPWY\n99K6B0XnkW52ioPzD8yivMngnXIfIUvFvGfi1CHTrXP6lEzGpH+7K+4eaLE8GldKEbIUH2xr5+l1\nzfjNcC+5MDed3HQPOxt9GKYVl3Xh0DWOL8mlOC8FTdNoDynW1wQYne5gUrY7Lr20QCDA5m++4c7/\ndyeVHbOXP3nnFdZ/+iHnXfZLph16NC5P/Htppg2bGw0y3ToleW5cuoYe89GM7iHW3e6Blqg6RHea\nivAQuKmpieeff57169fT0tJCfn4+06dP5/zzzycjIyPWdcbEJzv9Xf92OzRKYhgmlq0wbcWWphCt\nQbvf5XJTdIpz3Tg0YvJhjSQgDEvxf9t9bKgNxqQR1wGHDsdOSmN6QcqABxCxDLSgaVPnM3lwVRPb\nm0P9vn+jL0iVtx2AWHQMHDpMHZ3OkZOycPfTNXbqUJTjJjfFMej94tE/3c4V/33TgMuEQiH8fj/3\n3vNHVqxY0e9y+009iLnzriEzOwdngoYeNWBchpNxWa4YBXz3jbyn145l0PT92kdPSI34FR5+e1MU\n64mvvoYZR4/O7Hf5iMNsb9Q9zDrlpOiURDFMbKVQCipbQ1S1WhENFOgaTMhyUpDuDA91ReHDOpRQ\naGg3eXNzG00Bq6sXOVxOHYqyXZxckkGaK7Ixzb56ksNh2grTUjxV1sy7Fb6Itolp2VR522n2G1EL\nNJeukZni4OTJeeSnuyJ6ToZbp3SQPZOBwkzZNkYoxGuvvsLDDz+M39/7M7E73eHgpO/N4dRzf4zT\n5ULXHRHVEW1uh0ZxrjvKB6BDDadohtrAYSph1reIhhkB/H4/L774Ihs3bqSuro6FCxcyatQoVq9e\nzZFHHjm0akcgb8BmTXWACVlOxqQ7h3XkZ9mKNsOmvCmEMYgujq1ge7NJnc+iJM9FqnPoH9bhBEF+\nmpMLDs5mY22AD7a3Y9pD75k4NUh16Zw2OYPxWZE13J066+4cehxOoAVNmy+qAiz9wkurEXlCOx06\nE/MzyAuG2NHow7LsIfdaOw+Uji7KYtqY9EH9PW2GTVl1gLEZTgqH2TMJBAJU7trFHXfcTnl5ecTP\nsy2Ld1/+J59/+A4/vOLXFO1/IG5PypBqGA7DUnxdHyQnRac41zPMA9DhhlG0hh5lSHGoIgqzHTt2\ncOmll1JTU8OkSZPYsWMHwWCQiooK/vM//5MHHniAk046Kda1xs1wwyQ8mQPKmwy8gaF3afymYkOt\nwag0naKc8DmTwZzTi8YQnaZpHFSQSmm+h5VbfWxuNAbVS9MID6MdUZjKYYWpwzqC7h5q3X+OhGHa\nNAdtHvq0ka/rjSHXkO5xMXVsNvWtAWpa/IOeAerUYb+8VL6zXzYprqH1aBRQ1WbS4LcoznWT6dYH\n1YibpolhGDzw17/y6quvDHmyTXNjPYvvupGphxzJj37+a1LS0nG63EN6reHwBmzWVvsZn+miIGOw\noxmDGVLck87nd4baYF5PQmy4IgqzO++8k3HjxvHkk09SWFjIzJkzgfB1ZvPmzeNvf/vbXhVmnTrD\nJD9NZ78cNzoDH/kpFQ6xWp/JzhYzasNR9e02Tf4ARTlO8lL33FuMxXmmFKfOaZMzObg1xBtb2vAZ\n9h5DzalDYaaTU0syyPREbyhqMBNEbFsRshUvbGzh1W/aonIOUNM0Rmelkp3mocrrozUQ2uO2duka\nKS6dkyfnMjYrOueaOnsm2Sk6JbkeHPqeD3aCgQAffPgBf7n//l6zk4fq67WfcufVl3H6nIs59vTv\n43S60PT4Tou1FexoCVHXblKS6ybVFckBaKwCZDC9tGiG6b4tojBbtWoVjz32WJ/fUzZ79mwWL14c\n9cJGkoZ2G68/wKQcJ/n9hIllK/ymTXljCL8Z/dOQloLyJpOaNovSPDduB70+rNE+t9SXsZkuLj4k\nh7VVfj7e6ce2YfdMc2jh8xmzSjMozo3NkXokQ49B0+br+iCLV3tp9FtRr8Ht1CkalUmr32Bnoy98\nycVum76zN33YhEymj8uIyaSe5oDNmio/47NcjO2nZxIMBmmor+eOO+5g48YNUa/BDBm8suwxVr3/\nOnPnXUPBhKKEDD0GTMXGuiD5qQ6KOs5999434hEgu/fS+nov6Y1FU0Rhput6vzMWQ6FQQi9yjRdL\nQUWTSe1uYWLbChvY6jVoaI/SLIkB+EKKspogBekOJmZ/ezlBPKaxd9I1jZmFaew/KoV3ytvY2fLt\nZQZOHQ4uSOHoCWm4HLGvpa+hR8Oy8YcUj3zWxNrqQMxryEx1M7XQRV2zn9q2AHQMPTp1jcIsN8eV\n5JIRxZ5pXxSwsyVE/W49E8uyME2T/3nsMZ597llsK/qh3l191S7++vurOeSYkzjvP+fj8aSgOyM+\nNR81DX4Lb8DPpGwX+WmdAd99iXi1WX0NPUpvLBYi2sumTJnCww8/zF133dXrd88++ywHHHBA1Asb\nqTrDZExHmDT6TbZ7zbjfLaLGZ9HotyjNc5HV0VDG+6Ai3a1zzrQstjcbvL3FR7pb47TSTHJT4z+7\nrXPoMWDavLm5jec3thCK/bFFF13TKMhJIyfdQ7XXh2nbnFCSy8Tc+PZOOnsmeakOCjwhNq5fzwvP\nP08oJTeudaz9+H2+Xvsp/3HJlcw8YVZCDngtBRXeEDU+k/3zPbgcWgIPvON9bdq+J6Iw+/nPf86V\nV17JF198wTHHHINpmixatIjy8nK++uorHn300VjXOeLU+ixqfSaJ3ClDNuxqsUgf5cCZwNtyTcp2\nc9lMV8J76JqmccWLuxJ6nwSPy8FhRbmU5iZ2fTT6Lf7w26vYWbGZUHs7rjiHGUDA385rzy1l+tHH\nJ2TIsVN7SFHjM5kwyFm00dcZaBJksRDRWdqTTjqJv//970yaNInXX38d27ZZuXIlo0aNYunSpXzn\nO9+JalF+v59bb72VU089lcMPP5wLLriADz/8sN/llVI88cQTzJw5k+uuuy6qtQghhBj5Ih7MPuqo\nozjqqKNiWUuXhQsXsnHjRpYsWUJhYSEvvPAC8+bNY/ny5ZSUlPRY1jAMfvazn6GUYuzYsXGpTwgh\nxMgS8fzZsrKyHlN5n3/+ef7whz/wxhtvRLWg5uZmXn75ZRYsWEBxcTEej4e5c+dSWlrKsmXLei0f\nCAQ4/vjjWbp0KTk5OVGtRQghRHKIKMxeeeUV5s6dy9atWwF45JFHuOmmm/j888+55ppreP7556NW\n0IYNGwiFQhx88ME9Hp8xYwZr167ttXxWVhY///nP0eN8XYsQQoiRI6IEWLx4MVdddRUzZsxAKcXS\npUv5+c9/zvLly/n973/PE088EbWCGhsbAXr1snJzc2loaIja+wghhNh7RBRmFRUVfO973wNg3bp1\nNDY28sMf/hCAY445hm3btsWuwm4SPVtOCCHEyBRRmLlcrq6LUj/66COKiooYP348EL5o2rajd0FP\nfn4+AF6vt8fjTU1NjBo1KmrvI4QQYu8RUZhNnTqVJ598krKyMp5++mlOO+20rt+98847FBcXR62g\n6dOn43a7WbNmTY/HP//8c4444oiovY8QQoi9R0RhtmDBAp599ll+9KMfkZKSwuWXXw7Au+++yz33\n3MNPfvKTqBWUmZnJnDlzWLRoERUVFfj9fpYsWcKuXbuYO3cuZWVlnHnmmVRWVkbtPYUQQiS3iK4z\nO+qoo1ixYgXl5eVMmTKF1NTwl8OVlJTw0EMPccIJJ0S1qBtuuIG7776bCy+8EJ/PxwEHHMDixYsZ\nP348O3fupKKiglAo/M3AL774IjfffDMQHvJcs2YN//73vwF47bXXuoZDhRBC7L0ivmi6oaGBlpaW\nriADWL16NYcddljUi3K73dx0003cdFPvb8c9+uij+frrr7t+Pvfcczn33HOjXoMQQojkEdEw42ef\nfca5557L8uXLezz+73//m/POO48vvvgiJsUJIYQQkYgozP785z8ze/Zs7rjjjh6PL168mDlz5nD3\n3XfHpDghhBAiEhGF2ZdffskVV1yB293zixY1TeMnP/lJj2E/IYQQIt4iCrPU1FRqamr6/F11dTUp\nKYn7egchhBAiojCbNWsWN998M++99x719fX4/X5qamp45ZVXuOaaa5g1a1as6xRCCCH6FdFsxmuv\nvZb58+czb968HreUUkpx3HHHce2118asQCGEEGJPIgqzjIwM/v73v7N+/XrWrVtHa2sreXl5TJ8+\nnWnTpsW6RiGEEGJAEYXZ/fffz+WXX8706dOZPn16rGtKGjkpDlqDNpZKXA1OfWR8CXtr0Mbl0Eh1\nJe6reExbkZui4w3a2AncJu2GSVWLTWF24s4lK6XQR+2Ho7aBUOOuhNVhmyE2fPgGM078Hg5nxJe1\nRp1LHwmfkpHRZuytItq7nnzySWbPnk1mZmas60kK6S6N0jw3boeGArZ5Derbo3ez5UgVZDiYmOVC\n18KNVyK+VcCwFOWNBq1BGwUUpDuYkO3CEefGY5vX4K0tbUzOd2PaUN5k4A3Ed5vYtqK2xU99WwBd\n0xib6eaE0hwyPPFtxL3+EO9vbsJz5A8pmnke25b+FitkgG3FrQalFFZrA3UVn/PExg/IHjWWi295\nkJIZ8fm2+k4ODSZlu8hPd3Yc9CkScfg3UtqMvZnj1ltvvXVPC6WlpfH0008zffr0verbnHe1mINa\n3qFBca6TSdluXA4NXdfQNY1sj4O8VJ3WoI0Zh/0zw60xbZSHvFQHDl3rFWLxCDWlFFWtIb5pDBEw\nFZ0Hmr6QotZnkurU49JLazMsXtvUyudVAYJW+G936Bp5KQ6yPTotcToKbvEblNe10m6Y2ApsFa5t\nY007GjAmwx3z7WJaik93tLBiSxO+oI3SdDSHE6OmnMKzryJQuxWzrTGmNQDYhh+zdgtWaz3KtrAt\nk/ZWL6vf/F9qKjYx+bBjcaek7vmFhik/zcHU0SlkuHV0TYNe6z/2n5NYtBkTslwRL7u6Inm/A/KA\ngt6dp/R0T7/La6rzu10GMGfOHJqamqiqqiIlJYX09PSeL6JprFy5cgjlJtYnO/0RLzsqTacox40O\n6H30OpRSKAU1PpOdLWZMhrkcGhTlOMlLdaJrfYdW5+aMZcPZGrTY0hgiZCn6+xzqWjh0S3LdeJzR\nDzVbKb6o9LNqlx/Lhr5Xt8KyobLFpKrN7GeZ4TFMi8omH23B/re5S9dIcemcPDmXsVn9fxiHY3tT\ngBVbmjAtRWi3Qmpe+xsFZ16JMg3at66h5v2nsANtUa9B2RaWt4qQtwYNRV9Ni8vtRne6Oe+q2zlm\n9oUx+Yb4FGe4F5Tq1Pv8rHZU2/H/2H1OYtVmHD0h8gOBh9/eFPGyI835M8b1emz06P5HByMa/9h/\n//2HXlGSS3VqlOa5SHHqAw6daZqGpkFBupNRaU4qmgyaojjM1fXB0AgfZQ5QB8Qm1EKWYpvXoNFv\n7zEYbAUtQUVZTZBxGQ4Ks1wD1j0Yla0h3tzcRntoT0e1Gg4dxmc7GZPhYEtjiFYjOttEKUV9a4Ca\nFj9K9RemYSFbEQpavPplPUW5qXynOJtUlyMqdbQFTVZu8VLdamDuoTXUnG4ySg8nddIM6j/8Jy0b\nVzJw5ZGzfF5CdVvRUKD63z9ChgGGwQv33cDKZx/l4t8/yPjJB0WlBl2D8VkuCtKdaP0c7H1LI/y3\nRz/UUp0aJXkuUhPcZuxrIuqZDSQUClFZWUlRUVG0aoqbgXpmugYTspwRfjB6s2yFz7ApbwoRHMY4\nV6Rh2pfum3Y4oaZUeOhwe7O5x4a7LzrgdEBpnpssz9AbcX/IZsVWH+WNBuYQVqltK7xBi4qm0LCG\ng33BEDsafVjW4IcwHR0HI0cXZTGtIH3I28W2FWWVbXyxqxVbqQGP6jt7Zj2YBqGWOqreeBSjYeeQ\nagCwQ0Gshu1Y/lbUIM/JaZqG0+3hO7MvYvaVN5GSPvRz8jkpDopz3eH1O+jztdEJtM42Y0x6/yMn\nA4m0zdhXembddfbSBuqZDTvMvvrqKy6++GI+++yz4bxMQvQXZrkp+jA+GN+yO4YRKltDVLVagwqB\n4YZpd8PppbWHbDY3GAStgRvMSOhAdse6dTkir0UpxYbaAB9sa8dWDO8cmFJYCrY3h6j1Da7xNS2b\nKm87zX5j2OvCpWtkpDg4eXIuo9Lde35CN1UtQd7f3EQgZPcaUuxLn2EGgEKZIdq++ojaj55FhYIR\n16CUjdVcQ6ixEl1jWN827/ak4PSkcsHv7uXQU84Z1H7qdoSHsjPcAw0pRmrooRbNNoOONqOynzZD\nwqxvEQ0zBoNB7rvvPj744AOampp6/M7r9TJ69OhhlDlyeBwaJbku0t2D7wX1JXzSGQozXYxJd1Le\nFKIluOcPfbQ+GJ2GMvRo2YodHQ1+tM412UBTwKa5OsDELCcFGc491lLvM3ljcxvNQSs6k2s0rePc\no4uxGU42Nxq0hwb+C5VSNLYFqWpuD/8dUVghIVvR1G7y0vo69h+dxlGTsnHv4dyiP2TxfxVetjUF\nojTRSENzusk68HjSpxxJzbuP49uyeo/PsvytmHUVYJughn8ZhBEMYAQDPHX7fFY8+wgX3riI0RMG\n/vZ6DRiX6WRcpmtIvaD+X3VwQ4/ujjYjI8ptxriONmNLhG2GiPB2Vvfddx//+7//y5QpU/B6vRx2\n2GFMnTqV5uZmzj77bB577LFY1xlTGlCY6eDgAg8ZnujslN05dA2PU2f/fDdT8lz0N8nP49A4YJSb\n0rxvZz5FU/dQ669DrpSisd1iTVUgqkHWna1gR7NJWU0QXz/nsAxL8V55G/9c30yDP0pB1o2uaaS6\nNA4a46E4x0V/HUW/YbK5poXq5vauWYrRZNnwTV07yz6vZkt9e5/bRSnFl9VtPPN5DVsboxVk3V5f\nd6J70hn73Z8ycc51uLLH9L2cGcKsrcCo2oQdCmJb0Z3qH/S3U1H2Kf/v4hP498N3EgoG+lwu060z\nY2wKhZmuPmfzDo/GtyHW/8bubDNmFHjIjFGb4e5sM/L7bzPEtyLqmb3++uvce++9nHDCCcycOZNr\nrrmGiRMnsnPnTubPn09zc3Os64yZLI9OSa4Lp67F/Nooh66Rk+rgkBQHO5pD1HQMc3V+MMZlutD2\nMOIgOu8AACAASURBVMFjuHYPtO4NQcC02dJo0G70P0sxWmwgYCo21AYZlaYzKceNU9dQSrGl0eCd\nch+mrWI8rV5D12B0uoO8NAdbm0I0+MPbxLIVNc3tNPiCDG8gfs9MG0wUK7d42VDdxomlueSkhqdf\n1/sM3vumibagFdGQ4nBoTjcpBSVMnHsrLWvfouHTl1CWGb5mrKWOUMOO8AGWit3eYdsWdtDivWUP\n8vG/nuSim//KtKNOBsI3CNgvx01OiiPqB3q97R5o375f3NuMFAeHjO3ZZojeIgqz2trarhmNDocD\nwzAAmDBhAtdeey133nknzzzzTOyqjJEpeS6yUxxxvcC3cxhhYraLggwn1a0mhVnOuHwwutM0rSvQ\nbKWobDWpbrPifucMBdS32zT6A+Sl6HxeFaCu3YzL9XqdNE3DqUFJnotxIQerdrRRUe+DjnOe8RKy\nFbWtIZ4vq+XAMekYtmJzfTtWHNeF0nR0p5ucQ08j84Dj2PXCH2ld/zaYwfCQYpza0mDATzDgZ/Hv\nLmHqESfy33c/wv5jR0VxSDFS3w49OnUoznEnvM0QfYuo85qZmdn1FTB5eXmUl5d3/W7ixIls2pSc\nJxlzUuO7U3bn0DVSnBr75brwDGGmYjSEpwZrNLRbVLXGP8g6KcKTOt6t8FHVFt8g607XNEzLpryu\nDSvmvcK+KcJDj+urfWyqjW+Q9eBw4UjLpu3LFdjB9qgPKUbKCPhJIUTJmMwYDClGKjz0WJzjHhFt\nhuhbRDF/wgkncM011/D4449z5JFHcvfdd5ORkUFOTg6PPfYY+fn5sa4zJmI5nBeJzt5Rotkj4u6O\nw5ylGMUanLqGkeBiRsCqAECZRqJLwOV2Y5kmxOZ684g5Ou7ekUiJCfPkEFHP7JprrqGgoADbtvnF\nL35BIBDg8ssv5/zzz+fVV19lwYIFsa5TCCGE6FdEPbPRo0fz+OOPd/38+uuv88knnxAKhZg+fTqF\nhYUxK1AIIYTYk357ZpdeeiktLS19/i4tLY1TTjmF008/vUeQNTc3c+mll0a/SiGEEGIA/YbZp59+\nimkO7q7yoVCITz/9dNhFCSGEEIPR7zCjUoo5c+YM6q7Ww7mljRBCCDFU/YbZ/Pnz41mHEEIIMWQS\nZkIIIZKe3PFLCCFE0pMwE0IIkfQkzIQQQiS9ERlmfr+fW2+9lVNPPZXDDz+cCy64gA8//LDf5T/8\n8EPmzp3LEUccwSmnnMItt9yC39//t0gLIYTYu4zIMFu4cCFffPEFS5Ys4aOPPuK8885j3rx5PW5w\n3Gnr1q3MmzePs88+m5UrV/L444+zfv16Fi5cmIDKhRBCJMKww+zzzz/ngw8+iEYtQPguIi+//DIL\nFiyguLgYj8fD3LlzKS0tZdmyZb2Wf+aZZygpKeGSSy4hNTWViRMn8stf/pKXXnqJxsbGqNUlhBBi\n5Bp2mN14441cccUV0agFgA0bNhAK/f/27jw+ivp+/PhrZnY3mzsbEkiAcMsh4SpYS8ADBBEFrdqq\ntWLFq+hXa2kf/YE3CNRqtYpoUaB40fr9elBrvRCtothDbgUEOUNAINfmzmaPmd8fMWmO3WQ32d3Z\nwPv5eOQBuzvHe2c+83nP5zOfnfEwYsSIZu+PHDmSHTt2tJp++/btjBw5stW0Xq+XXbt2hS0uIYQQ\nsavTT3p75JFHcLn8P968IxpaU2lpac3edzgclJSU+J0+NTW11bSA3+mbevPNN9m+fXtnwu20lk97\nNkOVW6fc5TP9sSMnK714TX4kTq1H59vCavOeIxYBVfs3wfsdm1f3esIbTAccObiPF5Y9itVmMzWO\njAQNu8X8KzMLFiwwO4SYFDCZbdu2jeHDh2Oz2di0aRNjxozBYmk9ectWUSSFWum3N/0Pf/hDfvjD\nH3YmpE6LhWR2osrLkTKP6clsx/Fa6kx+jlhpjYeqnUWmP88srN6HHhfd1qFZiz95Ed0d2j1aw63P\ngDO44c7/R0JikqlxDM2of8q0iE1t3jW/qKio8f+B7qAfbg0P+iwrK2v2vtPpJCMjo9X0GRkZfqeF\n+kfXCCGEOPUFbJl169aNOXPmMHjwYAzD4IEHHiAuLvCjXh9//PGwBJSbm4vNZmP79u1Mmzat8f2t\nW7cyadKkVtOPGTOGDRs2NHtvy5Yt2Gy2VtfdhBBCnJoCtswefPBBrFYr27dvR1EUdu7cybZt2/z+\nhfO6U3JyMldeeSXLli3j0KFD1NbW8qc//Yljx45xzTXX8OWXX3LRRRfx7bffAnDNNddQUFDACy+8\ngMvl4uDBgyxbtowf//jHJCcnhy0ucfrQY6KHMSaCiBmqZn73nuyR2BawZTZp0qTGltDQoUN54403\nGrsAI+2ee+7h0Ucf5dprr6W6upphw4axatUqevXqxdGjRzl06BAeT/2F6d69e7Ny5UoeffRRHn/8\ncVJSUpgxYwa//vWv212P8d1gAzOuWRlNBjqYHYfDrlJkVXB5DdMqcp9ukGZXOVntMycAQAHSEyzk\nZiWw+2SNedfNfF68ddUoqoZms4Pa6XFaHWLoOhkX3EzR+udA92Ho0d83tjg7+/bsorS8ih42O5pq\n1vVlg28rPCRaVVQFU+Iws57oChTD8D98bOHChcydO5eUlBTuvvtu7r33XpKSzL0AGwlNv360Com/\nQhntgtryexuGQVG1lyPlXnQjemehum7g0Q0OlLqpcps3hFBVwGHX6JNmw6opHCipZfV/TlLu8kZt\nUIpi6Ph8Xir2/IuaY3tBUUjqO4LkQWNRNQsGHSsbJ99fHtoAEENH99RRefIIutuFt7KEig0vUHts\nD4a3rkMxhEpRFCy2OPIuu54ZP7+HuIQkUu0qAxxxaAqoUUsmDfu+fn2qAr1SLGQlWlAUc+uMYDz3\n0TeRCCfqrhiZDUBmZuDetoDJbNSoUTz11FOMHz+eUaNG8fHHH5Oenh5wQTaTh812VjSSSXvriFZi\nbSsOr26Q73RTUqtHNKEZRn0r8NsKDyeqvKZ14agKWFWFAek2kuOad2X5dIMP9zl5a1cpPt0gkjnN\n8HmpKzpM2e7P0T3NE4Yal0h67rlYHdkoWuittGCTmYKBruvUFh+jrtLZ6vPa/B2U/WMVeFz4PJFL\nanHxCXTPGchPH/gjPQcOa/aZqkCvZCs9kiKdTJru7NbrsFsUBjqsxFvViLbSOlsvSTIDZs2axebN\nm4H2h48risLu3bs7E2tMiFQyCXW5kY4jmGVW1ensL3Xj0cPf9ejTDarcOoecblOHwKsK9Ey2kJVs\nRW1jmzhrvby85SR7C2vDH6/uxVdXQ+mXH+MpO9nmpHEZvXHkno9mjcNQg7+GFEwyM3Qdb0051UXH\n2uxONLxuKje/SeWOdd91PYavNW21xaFZbVw597d8/+Jr2iyndovCAIctQsmkeWusLd3iVfo5bKiE\nt7UYrjpAkhn1Q+P//ve/U15eztNPP83s2bNJTEwMuKBT6WGe4UwmnTmzCldrsaPfxzAMTlR6OVrp\nDUtC079r3Rx01lHuMrdLMdlWXwnFhfAj2J0nqnlh00lqPXqnk5qCge7zUrl/C1X5X0GwPxZXNVIH\nfo+EviNQNS2orse2kpli6Pi8HqpOHsFXVxN0/J6y45R/tBJ3SUGrlmRHWOPiGTP5Ui6/azGJqY6g\n50uP1+jnsKGFpZXWdmssEE2BPqkWuiVYUMMQRzh7iSSZtTBr1iyeeeYZUlJSwhddFxCORNTR+cO1\nnHAcGG6fwSGnmwqXTkdSkGEYGAacrPJytMK8H2ergKZCf0ccafEdGx3n8em8/XUp678pw9fBVqvh\n8+JxHqd056foddUdikNLSCF95CSsSd2gna5Hf8msvkvRwFV6HFd5cYdiMAyD2v3/oWzDCyi6F5/H\nHfIy4uITSMnI4roH/kj/3HEdikNTICfVSkaiBYWOlPWOJbGWEqwKg9Jt2DSlQ63FSPTISDITjbpi\nF2Gk4ih3+ThQ6sarBz9AxKcb1Hp0DjrduLzmFTVFgaxEjV6ptja7FINVWOXm+S9OUlBWF/QAEUX3\n4fPU4dz5CXXFRzsdA4C9xwDShp+DZrFgKP4TdKtkpuv4XFVUFhZg+Dp/dw/dXUvlv/6Pqj2f1S8v\niCrFYrGiWqxc8vN7OPdHN6P5ubtQqBKsCgPT44jTlBC6/ILvUgxW90SNPqlWFIWgylokr5VLMgMm\nTpzI3//+dxwOBxMnTmxzRYqi8Nlnn3Ui1NgXTDI5HQaR6IbBsQoPJ6p8bbZKDKO+S/Gw001prXnD\n7VWlvpLr74gj3hre++oZhsHWY1W8vKUQj88I2PVY36Xooyb/K8oPbIUwD3FXNCtpQ3+APfsMFE2j\nZcXckMwUdHxeH9WFR/DWVoU1BgB30WHKPlqBt6Koza5Hmz2eIWedx1X/7zFSM7LCHkdmooU+qdZ2\nuvzC0xoLxKJC/zQrqXatzVZapOuMrpzMGhJYU20ls4CnQ+eccw5WqxWoT2yn+28bGr5/W8PqW74f\nqTjqu+3MGd6vKgo5qTYyE3UOlrqpdhvNuh4buhSLa7wUlHsiOgKwLQr1iayfw0Z6vBaRbaIoCmN7\nJzO8RyJvfFXE54cr8fqM5q1Wnxd3VQmlX36MryYyt4QzfB6cuz7DcmQ36SMnYYlPadH1aGDoOnXl\nRdQ4TwZ/fS5Etsx+ZF69mOpdn1D+z/9FNXz4mtyoOM4ejz05lZ/e9zRDv39+RGIAKKr24qz10i/N\nRppd89NKC39rrCWvDvtKPSTH+RjosGJRm3c9mvGToFOddDN2gL9NZvYPr82IwzAMnC6dQ6VufEZ9\nl2Kdz+BAaR01HhO7FIGMRI0+qbao/ri1oKyO1V+coLDKg8frxef1UrbrU1wnD0UtBoCE3kNJGTK+\n/q4ZBhx/dxkJIy5E94Z+TaujfLUVVHz2MjWHtoHuw2K1csFP72Dqz+ZitQW+LV64JdtUBqTX/3bw\nv0UhuseqAmQna/RMttK0OEbjWD2dWmYBk9mhQ6EdgP379w9p+lNBLNzxPhbi8OkGn+VXc6LKS5GJ\nd/CA+sd09Eiykmgz51EdumGw+qOv+Hj7Psr3bcHwmfMIFdVqJ3XUFHweN8UfP0/q968wJ46Sg/Ss\n3s+FP/slGb36mRKDAgzqVt9KM/M4sWkKI3vERfUE63RKZgG7GadPnx7Sjv/666+DnlacWjRVweUx\nTE9kAP0dNlMrLFVRGJDo4f1DW01LZAC6x4WrMB9sCabFAJCQcyY/vvQ2rBbz7q1oUP/MvjSTH9/i\n9hn4DAMtyi3D00XAZPbwww83/r+2tpbnnnuO733ve4wePZrExEQqKyvZsmULu3fv5le/+lVUghVC\nCCH8CZjMLr/88sb/33///Vx//fXcdNNNzaaZPXs2K1as4J///CczZsyIXJRCCCFEG4K6sPDBBx8w\nZcoUv59NmzaNDz/8MKxBCSGEEKEIKpl5PB727dvn97P9+/c3Po5FCCGEMENQP7ufNGkSd999N7t3\n72bo0KHY7XZcLhdfffUVr776Kuecc06k4xRCCCECCiqZLVy4kAULFrBy5cpmrTBN05g0aRILFy6M\nWIBCCCFEe4JKZklJSTz22GMsXryYw4cPU1VVRUJCAn369DklH9gphBCiawnp7p52u52hQ4dGKhYh\nhBCiQ8y5TYIQQggRRpLMhBBCdHmSzIQQQnR5ksyEEEJ0eUElM8MwePbZZ3nyySebvf+LX/yCZ599\nNiKBCSGEEMEKKpk999xzLF++nG7dujV7f8yYMaxcuZIVK1ZEJDghhBAiGEEls7Vr1/LII48wa9as\nZu/Pnj2b3/3ud7z++usRCU4IIYQIRlDJ7MSJEwwfPtzvZ8OHD+fEiRNhDUoIIYQIRVDJrG/fvnz6\n6ad+P3vnnXfo3bt3WIMSQgghQhHUHUBmz57N/fffz3/+8x9yc3NJTEykoqKCLVu28Pnnn/PQQw9F\nOk4hhBAioKCS2RVXXIGmaaxatYoPPvgAAFVVGTJkCL///e/lwZwmMgzD7BCo9egUVXvNDoMkm/m/\nNPHqBnuq4ogfPJ66Pf9B97hMiUOzJ5KQPRCvu86U9TeyJfDxfidjc1Lplmg1JQSfbrCr0MVhp4ez\ncxKwaYopccRbFDTFnHWfDhQjxNqwrq6OiooKHA4HFktIt3Y8ZfjbZIoJhdTsOAyjvpLYmF+DTwc9\namtuzqJC3zQbDruGqgCNmyC6+2RfcS2rvzhBhcuHx+tD9/ko3/svao7uiV4QikJS/1EkD/geiqaB\nYXDi3adJGDkNnzt6iVWxWEnunoMWlwiqiqbC0MxExvVNwaZF76TDWevjoNONYdSXBoumMKl/IgPT\nbVE7VlQFeqdY6JFooekqo7H+5z76JuLriJQrRma3ei8zMzng9CGVqqqqKnbt2sXWrVtxu90A+Hy+\nEENsW0FBAXPmzCEvL4/x48czZ84cCgoK2pynurqaBx98kKFDh7J27dqwxtNSQwJRFKXxr+H9aLWS\nmq7LXxzRUFzt5X+/Kuez/Bo8JiayzASNUVnxpMdrqKpCfW3RUEkY3/1FVmWdlxX/Ps6Tnx6juNqL\n22dgKCqKxUra0Dy6T/gxluRu7S+ok2yOLHqccw0pA7+HolkABRQVRbOS3OsMEjN7gRLpRKJgT+tO\nas5QLPFJoNavz6fD3qJq/nfrCQ6W1Ea8nNZ5dfYU1bG/1I1XB58BXgNcXoP1B6pYu7uCcld46y5/\nHHaV0Vl2eiRaUFXz6ozTQVAl2+fz8cgjjzB+/HiuvfZafvnLX1JSUsLx48eZMWMGJ0+eDEswHo+H\nW265hZSUFN5++23WrVuHw+Hg5ptvDvg064MHD3LZZZcBka3IGwpe08LYIJrJpGUS8xdHJA8St8/g\nk4NVvLqznOIaH16Tsli8VSG3Rxx902xoauttUZ/Qmia18NMNgw0Hyrjn3cNsO1aF2+dnPZoFS1Ia\nmWdfhmP4OSha+LvaVKudbqOn0G3sxWjxyaC27jFRVJW4lG6k9R2GNTE17DEAWOyJpPYdSkJ6DxRV\nxWjRMvbqUOc12LDfydu7iimvDX/XtG4YHKvw8OXJOirqdHQ/u8Srw/FKL3/5sox/F1Tj8zdRJ9k0\nhaEZNgam27BqSv2JVhNmnICe6oJKZs888wyvvfYat99+O6+88gp2ux2A5ORkMjMzW90ZpKM2btxI\nfn4+d999N+np6aSkpDBv3jwKCgrYsGGD33mKi4u5//77uf/++8MSQ0stW0FtiWQyaSuZ+ouj6Tzh\nWv/+kjpe2Opkd1Ed/urtaFAV6JdmZXimnXiL2qqSaC0yrbQjZXU89MERXttRjMtrtJPUFRTNQkKv\nIfQ471rsWQPCFkdizpn0OPcn2Lv3+641FpjxXRxJPfqQ2msQqtUWlhgUzUJyVl+SsgegWmwY7bT+\nvLpBYZWbN748yeYjFXjDlEwqXD52nHBxvNKLbrS9tw3qk9q24y5e3ObkSLk7LDEoQM9kjZE94kiO\nU9HaKZ/ROAE9XQR10evNN99kwYIFrQZ6JCUlMXfuXG677bawBLN9+3b69OmDw+FofC8tLY2cnBx2\n7NjBlClTWs3z/e9/HwCvN/xnecEmsZZaFs7O9I03LeChLKdlQutMDOUuH+v3V1FU4zWtJQbgiNfo\n77ChKqCG9H1aJrSOb4taj483vizmn/mVeH1GSOnRUFRUaxzpuefj6TeC0i8/wVdT3qE4LMnd6DZq\nMpo9GTRLaGlaUdHsCaT0HoK7ooia0pPQwYo0LqUb8d2yUf20xNqif7crdh6vZG9hNecNctA7zd6h\nGDw+g8Nlbspc/ltibfHq9cn1nb2V5KRYOX9AUocHEqXEqQxwWLGoSrtJrKVw1hmnq6CSWUlJCaNG\njfL7WWZmJlVVVUGtzOv1UlNTE/Bzp9NJamrrLhCHw0FJSUlQ6wiHcBSocCSTcMXR0YPEqxtsOlrD\n9hMufHo0rj75F6cpDEi3kWBt/0y3bS27HYNflmEYbD5axZothXh8Bp7OtCY0C7bU7nTPu5KaIzsp\n378F9OCu3ygWK2lDxmPPHlQ/wKODidlAQVEV7GmZ2JLTqTpZgLe2MvivYIsnqUef+tadona4bHh0\n8Og66/eW0jPVxsT+DhLjtOC+g2FwsspLQYUXjM5dt/XqkF/m4eXtTs7uHc/o7PigT5isan1vQapd\n61T5DOcJ6OkoqGTWq1cvNm/eTE5OTqvPtm/fTlZWVlAr++KLL5g9e3bAz6+++uqAn0Vjx3a0FdSW\njiSTcJ+d+et2bG/ZR8rcfHigijqvgdekLKYAvVKsZCXVjwILXxlQaN7t2PZyT1S6eWHTSY6W1VEX\npv7Vxi6/viOI7zkY584N1BW3PdApPmsgqWdORLNY2+3KCz4OFUVTSc7qh89VRWXhUQyf/+vTAKgq\niRk9sSY6UNTwDSbx6gZHy+p4dftJxvZOJrdnUpvJpMqtc7DUjdtnhNwaC0QHdB3+c7SWnYV1XDgw\niazktq9x9kjUyEm1ooTcWxCYtNI6JqhkNnXqVB566CG+/fZb8vLyAPjmm2/49NNPWbZsGdddd11Q\nK8vLy2Pv3r0BP1+6dCllZWWt3nc6nWRkZAS1jo6KZMEJNplEIpm2FYe/dVS5df5xoIpjlR5TuxRT\n41T6p9uwqErYKonm2u96dPt0/r6rhI/2l+PTw1dpNmWoGmpcAumjp+IpO0Hpzg3orupm02gJqXQb\nOQlLUnroXYrBUlUsCcmk9hmKy3kcV1lxq0msSWkkZvRG1ULrUgyWbtQP4Nh6tJKvC6s5f5CDHslx\nzabx6gZHyjyU1Poisj/q1wHlLp2/fl3BoHQb5/RLxG5pnrgTrQoD023YtNC7FIPRkRPQ011QyeyO\nO+6guLiYZ555hqeffhrDMPif//kfNE3jyiuv5Pbbbw9LMGPGjOHZZ5+lpKSk8Q79xcXFHDlyhHHj\nxoVlHS1FOoE01VYyiWaB9XfmpxsG27+t5T/HaqPapdjQRmpgVRX6O6ykxGlBDO4IVwTQspW280Q1\nL2w6Sa1HxxOF0S6KZiGuWy96TLyKygNbqTr8JSgqqYPGkdBnOKqmRSSBNNXQ9ZiQnk1cSgZVhUfw\nuWpQrXEk9+iDarN3qksxWB7dwOPy8c7uYvqnxzO+XypxFpXiGh/5ZR4MiFgia8qrw74SNwedbs7p\nm8CwTDsWVaFPmoVu8RbUsPYW+Cddj8ELKplZrVaWLFnCXXfdxc6dO6mqqiI1NZXc3NxWj4XpjAkT\nJjBo0CCWLFnC/fffj2EYLF68mMGDBze2CNesWcO6det4+eWXO70+s854Ao1eimYcTQ+Sslovb+2p\npNqjR7011nQLZCRo9E2zRaWSaK0+rXp1nT9+fpy9RbX+h9pHUH3Xo5WUQWNJ7JOLomr1XYqqFtXr\nlQ0DVZKzB6J7XKhWO0rzX6NHhU+HQyW1FJTVkdsrDd0g6qNofQb4fPDp4RrqvAY3j02vH4AUlROt\n/2paZ0hC8y/oW3jouo7FYmHs2LF+B2mEg6ZprFixgoceeojJkyejKAp5eXmsWLECTau/KOx0OsnP\nz2+c57777uNvf/tb4+v777+fBx98kJ49e7Ju3bo212dmoWiaTMyOI7/cQ6U79JFg4dYz2RqRLpvg\nKZysdJuSyJpRLWj2+sEdZu4SRVXR4hJMjKA+mSRYNNw+c48Tjw4T+iZiMelWWNA1uxn93cUjUtq9\nndW//vUvVq5cyebNmxt/uJyUlMTEiRO5+eabAz4aRgTH7GQGsONELRvza0xPZiOz7K2uTUTbsfI6\nfvePAlxmjXqJgJPvL6fHReH5+YwZku1W+mUkmX6czD8ng9weHfv5gFnMvp1VuJNZW7ezarNltmrV\nKh577DEGDhzI9ddfT3Z2Nl6vl8OHD/OPf/yDq6++mnvuuYdrr702rAELIYQQoQiYzHbs2MEf/vAH\n5s+fzw033NDq8/vuu4+nnnqKJUuWMHz48IC/QxNCCCEiLWCfzp///GemT5/uN5FB/fWtuXPnMn36\ndFatWhWp+IQQQoh2BUxmmzdv5sorr2x3Addccw1bt24Na1BCCCFEKAIms6KiIvr169fuAnJycnA6\nneGMSQghhAhJwGTm8XiIi4sL9HEjTdPkbs9CCCFMFTCZBfOoESGEECIWBBzNaBgGM2fObDehSatM\nCCGE2QIms8svvzyacQghhBAdFjCZPfzww9GMQwghhOgwc+8dJIQQQoSBJDMhhBBdniQzIYQQXZ4k\nMyGEEF2eJDMhhBBdniQzIYQQXZ4kMyGEEF2eJDMhhBBd3mmdzMy+FVfD+s2Ow6oqMVEQfLr5t0az\nWRS8utlRgAKoMXJrVLPDUDGIhdvE1nh09BipM0RrsVCHmcowDFMKSMM6G+59aVYMhmEwJMPG+D7x\nWFRzCoSmQIJVoW+qlbQ41cRK3CAz0codE7JJtWvYtOgHoipgURXG5SQzIjsRTTUnqcVpCt0Trdz6\ngx4M6GYnzoRtARBnUTinXxKzx6SRYFWwmlBALSrEWxS8Ph0F8+sM4V/A21mdDpomEsMwovKUgKYF\nsmF9iqI0O0CiGYeiKGiKwujsBM7oZufjQ1UUlHui0jppaH2MyrJzdk4Clu9q7XKXjwOlbrw6ROfw\nbVhL/fqHZyXy8MX9eOfrUj74pgyfbhCNRqNFVeiZamNifweJcRoAQ7on8ekBJ8XVHrxRCEJTQFMV\nLh2ezgVnONBUhXG9k9l8tIo1Wwrx+Aw8UYgj3qKQmWTltxf1YWR2AgDj+yTyypdlbMyvwROl1rNN\ng7N7x3PdKAeJtv9mUrPrDNGaYki6ByJfYIJdfqQTWjDLLyj3sP5AJXVeI2JJzaJCt3iNqYOSccRr\nrT7XDYNjFR5OVPkimEiaLtj/9iiscvPCppMccdZR54tMIFYVrJrKuYMc5KTZW0dpGBwqdbHxoBOf\nHvo+Ofn+cnpcdFu709k0hWHd47lubA/S4luf59Z6fLzxZTH/zK/E6zMicqJhUeu7ve+YkMVPwuji\n/QAAIABJREFURmc0nuA0dcjp5tkvSimu8VLni0AQQJwG6fEW5nw/nYHpNr/TxEqd0ZbnPvomXOF0\nyBUjs8O6vMzM5ICfSTJrIRLJpCPLDHccoR4YPt1g07Eath134QtjC0n7rhvt/P6JnNHN1m4sLq/O\ngVI3NZ5wt46at8banNIw2Hqsipe3FOL2hq9loiqgKDAyO5nRvZP9VtxNub06m45UsLeoGl8ICa29\nZGbTFBKsKrO/34MzeyS2u7wjZXWs/s8Jiqs9YU3wdovCD/okc/8FvchMsrY5rW4Y/ONAFf+7swKv\nz8AbpjAayuePh6dw4RlJqEEcK7FSZ/gjyUyEpTB19swqXGd+nfku5S4fHx6oorDa2+lWmqbA0Ewb\nE/okEmcJ/uKHYRg4XTqHSt34jM4m1uCTWEsuj84bXxXx+eHOt0wsqkJGopVzBzpI9dMKaktJtZtP\n9jupdPmCSqyBkpn6XZfihYPTuGRYOlYt+H2iGwafHSzntS+LO9RabMpuUUiJ01g8LYcf9A1cWflT\n7vLx4jYn20/U4e5kYrVpMKK7ndljHaTZW/cWtCcW6oyWJJkJoHMFK5xnax1dVjiT4UGnh38crMLj\nMwi1zrCokGxTufCMZLondvwyrU83KCj3UFjt60Aiab9LMVhHy+r40xcnKKoKvWViUesTyMQBDvqn\n2zu8XwzDYE9hNf85XIFutL1P/CWzOE2hjyOOG87qQfck/91owais8/LKtiJ2fFsdcjLRFLBqCj8b\nm8kt3++OLYQTnJb2FNXx7KZSKup8uEPserRpkGRT+flZ6Qzv3rqbNxSxUmc0kGQmmgmlkEXympfZ\ncbh9Bv86Us2uwrqgEpoKaCpM6JNAbo+OV9wt1Xh09pe4qfMF2/XY8dZYILph8Pmhcl7dUYw3yJaJ\npsKQzETO6puCLYRWUFtcHh//OlzO4dLagDE0TWZWVcFmUZg1tjvf65UUtn2yr7iW1V+coNLlCyrB\n2y0Kw3sksOjC3vROiwtLDF7d4N29lby5pxJvEIN2GkaOzhicxMyhKVjDOGLT7GO1gSQz4VdbhS5a\nI47aW080RkSW1HhZv78Kp8sXsAK1qNAvzcZ5/RNJiMB4asMwKKz2cqTcixGw6zF8rbFAKut8/N/2\nQrYdC9wysaoKyXaN8wel0y2x7WtBHXWioo5P9jtxefRWXY8n319O1kW3YdEUzumfwuW5GdgjsE+8\nusH6b5y8vbs0YDKJ0xTsVpUHp/TmgkEpESmnxTVe/rTFyd5id8B9EqcpDHBYueWs9E71FrTH7DpD\nkpkIyF8BjOaQ+pZx+PudWrSGC39d6OKzIzV4dRorLosC8VaVqYOS6JUSmYq7KY/PIL/MjbNWp3le\nDX9rrC37v2uZVDRpmWgKqIrC2f1SGNo9MeL7RdcNvjpexdajlejGf5NJ8QfLGf3ju7jp+1lhawW1\npbTGw0ubC9lXXNuYTBTqB5pckZvOXROzSLCFfk0qVNu+rWXllvoE7/6ucFhVsFtUbhrrYGzP8PUW\ntMXMOkOSmWhXLPz2o+WuMyMOl1fns8PV7Ctxoygwrmc83+sZjxblX/pW1tWPeqxPJAZm3LfCpxt8\nuM/JW7tK8RkG/dPjGd8vFbs18hV3U1V1PjYedHK8wo1FhbStL7DwoUVBjcwLp6+OV/PCppO4vDr9\n0+NYclEOgzPioxpDnVfnjd0VrN9fBcDkAYn8ODcVeyeuz3WUGXWGJDMRlGj9aLIrxFFU7SHeopIU\nF92KuynDMPjimMu09Tc4WOJiX0kdjoTIt0zbkmQ16JNm55VnHuaWX91nThCGDobOWTnBDXOPlJNV\nXny6Ts+Ujg92CYdoH6unUzKLudtZFRQUMGfOHPLy8hg/fjxz5syhoKAg4PRer5enn36aqVOnMnr0\naKZNm8aaNWuiGLEAyEiwmJrIIHbujpBit0Ts2lgo+jrspu8Tm0VlXG9zExlAjyQL2cnm7xMROTGV\nzDweD7fccgspKSm8/fbbrFu3DofDwc0334zH4/E7z9KlS3njjTdYtmwZW7Zs4Te/+Q2//e1v+eij\nj6IcvRBCCLPE1L0ZN27cSH5+Pq+88goOhwOAefPmkZeXx4YNG5gyZUqreSwWC3fffTdDhw4FYMqU\nKZxxxhn861//4oILLohq/EII0dWEuyvQLDGVzLZv306fPn0aExlAWloaOTk57Nixw28yu+uuu5q9\ndrvdFBYWkp19auwgIYQQ7YtqMvN6vdTU1AT83Ol0kpqa2up9h8NBSUlJu8s3DIMHH3wQu93O1Vdf\n3alYhRBCdB1RTWZffPEFs2fPDvh5Wwmo3RvSulzMmzePr776itWrV5OUlNThOIUQQnQtUU1meXl5\n7N27N+DnS5cupaysrNX7TqeTjIyMgPOVlpZy6623YrVaefXVV9ucVgghxKknpkYzjhkzhoKCgmZd\nisXFxRw5coRx48b5naeqqoqbbrqJnJwcXnzxRUlkQghxGoqpZDZhwgQGDRrEkiVLcDqdlJaWsnjx\nYgYPHkxeXh4Aa9asYdasWY3zPPnkk9jtdn7/+99js5n7g0ghhBDmiKnRjJqmsWLFCh566CEmT56M\noijk5eWxYsUKNK3+x59Op5P8/PzGef7yl7+gKApjxoxptqyePXuybt26qMYvhBDCHDGVzACys7NZ\nvnx5wM/vvPNO7rzzzsbXu3fvjkZYQgghYlhMdTMKIYQQHSHJTAghRJcnyUwIIUSXJ8lMCCFElyfJ\nTAghRJcnyUwIIUSXJ8lMCCFElyfJTAghRJcXcz+a7ioMw2j8t707+p8OcZgdg1c3KChveBq5AZgT\nR4JV4bx+CUzREvn4UDX7StxRj0EBhneP49x+idR4dCyqOdvCokLfVCuqYn75bDhOzBRLx+qpSJJZ\nBzQUSkVRMAyj2etox9AyjmgfJGZvC8MwKK31ccjpQW9WXzW8iE4cmgI5qRYyEiyoSv33v2BAEqOz\nvKw/UEWZS49KHJkJGhcOSiI5TkNTFZJsKt0TNXqnWDhW4SVaVXr3RI0+qVYUJXbKp7/XZsRhVp1x\nqpNkFgJ/BbDpQRKtgzVQHNE8SFom06b/RisOl0fnQKmbGq/RIpE1rNMgGq209HiN/g4rKqA2aQVZ\nNYXuSRZ+MiKNHSdq+c/RWnwRyiY2TWFinwQGZ8RhUZvvE1VRyE6ykJlo4aDTTXkEE2uCVWFguo04\nTUFT/R8nTV9Hir/y2fB/M44Ts+uM04EksyAEOjCaisZB0t6yo5VMQo0j3DHohsHRcg8nqnzttDQU\n/pvQGl6Hj92iMMBhJcGqNqu4m1IVBVWDUVl2hmXa+fBgFfllHr/TdtQZ3Wyc3z8Rq6oEjkNVsAFn\npNuorNM5VObG7QtfDP5apv7E4nESyRjai0NaaeEjyawdoRS0SCWTYA6MtuII10ES6neKxMFa5vJx\nsNSNVyfILrPwt9IUoFeKhayktivupiyaikWD6Wckc7zSw0cHq6lyd66FlGZXmTowiW4JFqxacN9L\nUxVS7Soje9g5VhHMCUH7usWr9HPYWrVMA4l0+Wy6jmDjCHaeUOIws844HUkyCyDUA6OpcB6snSng\n4UomsbAt6rwGh5xuKut0OpYCmia1pq9Dk2pXGeCwoSkEbAW1xaop9E6xct2oNDYdq2HbcVeLLtL2\nWVT4fq94RmXFo6r1rb9QKIqCpkCvFCvdkywcKPV0KLHaLQoDHVbi22iZthcHdD6ZdKZ8Nsxzqhwn\npzNJZi109sBoqjMHSbji6OxBEq6zxY5WXLphcLzSw7eVvpAr/QCR0JGuR5um0D/NSnJcxyruplRV\nQQXO6pVAbnc76w9U8W2lN6h5+6VZuWBAEjYNLEG2xgLRvuuWHJphw+nykV/mwRtETlOV+pZpj8Tg\nW6ZtCcdxEs7yGepxEit1xulOklkTkShAoR4k4TwwAsURzLIjdTCFcrBW1vnYX+rB6zM62BoLGMV3\n/7bf9agAWUkavVKsYam4m7JqClZN49KhKRx2uvnkcDUur/+MnWRTuWBAItnJ1qC7FIOlqQrp8RoO\nu0Z+uZui6sBbO+27lqnawZZpILF0nISSTGKhzhD1JJkRuQOjqWCSSTTOxto7WKO9LfwdrB6fweEy\nN85aPcJDydvuekyyqQxMt7Y5sCIcrJrCgHQbfR1WNubXsKuwrvEzVYEx2XbO6pWApgR3TaojVEUB\nBfqm2shK1Dng9FDj+e/Wt2kK/R1Wkm2db5m2JZhkEunjJJhkEit1hviv0z6ZRbug+DtYo3FgtIwB\nWh+sZmyLpusFKKzycqTCi2EEO8AjLJHQtOvRoir0TbPisGsRrbib0lQFDYVz+iYyKsvOB/ursGkK\nUwcmEW9Vw94aayuOeKvK8Mw4imq8HC330j1Jo2dy/W/GQr0+1xGxWj7NjEO6Htt3Wiczs5rwsTKC\nyV8yMSsOwzDYV+KmvE4P07WxkKMAwKIajMqyo0ap4m7JqtV3+f04NxWF8HblBUtRFBQFMhPqf5tm\nGObFAbFTPmPtWBXNndb3ZjT7DKdh/RJH/bprPC1//Bx9VrX+kDAjkTVoGG1oRgJpSlUV0xJqU7FS\nPs2OIRbWH8tO62QmhBDi1CDJTAghRJcnyUwIIUSXJ8lMCCFElyfJTAghRJcnyUwIIUSXd1r/zkwI\nIU4HV4zMNjuEiJOWmRBCiC5PkpkQQoguT5KZEEKILi/mkllBQQFz5swhLy+P8ePHM2fOHAoKCgJO\nX1lZyQMPPMDEiRMZMWIEkydPZsWKFXIPMyGEOI3EVDLzeDzccsstpKSk8Pbbb7Nu3TocDgc333wz\nHo/H7zxz587l0KFDvPbaa2zfvp2FCxeybNkyXn311ShHL4QQwiwxNZpx48aN5Ofn88orr+BwOACY\nN28eeXl5bNiwgSlTprSaZ8aMGYwZM4bs7PrROueccw4DBw7k66+/jmrsQgghzBNTLbPt27fTp0+f\nxkQGkJaWRk5ODjt27PA7zw9/+EP69u0LgMvl4q233iI/P59LLrkkKjELIYQwX1RbZl6vl5qamoCf\nO51OUlNTW73vcDgoKSlpc9k33ngjn3/+Od27d+fxxx/nrLPO6nS8QgghuoaoJrMvvviC2bNnB/z8\n6quvDvhZe8/xWb16NbW1tXz88cfMmzePhQsXcvHFF3c4ViGEEF1HVJNZXl4ee/fuDfj50qVLKSsr\na/W+0+kkIyOj3eXHx8dz8cUXs3XrVlauXCnJTAghThMxdc1szJgxFBQUNOtSLC4u5siRI4wbN67V\n9EVFRUyePJlNmzY1e9/tdqNpWsTjFUIIERtiKplNmDCBQYMGsWTJEpxOJ6WlpSxevJjBgweTl5cH\nwJo1a5g1axYAmZmZ9OrVi0cffZT8/Hx8Ph///ve/efvtt7nooovM/CpCCCGiKKaSmaZprFixgtra\nWiZPnsyUKVPwer2sWLGisaXldDrJz89vnOepp55i2LBhXH311Xzve99jwYIF3H777dx4443trs/s\nH1Y3rN/MOAzDiJk4kuMU1LYvjUac26djGKDr5m6Lhn/N3idN/z2d44iFGGJh/bFMMU7zrdPw9dsb\nYBKJdTast+XraMfRsE6ztwWA06VzqNSNz4DoFsyGtdUn1JwUC90TLShK198nCxYsYMGCBSHH0LDe\n07l8xkocHd0Hz330DXDq3DU/MzM54Gcx1TIzQ9MCGo283vRAaFh30/9HKwZ/B2RDHGZtC0VRSI/X\nGJ1tp3uiRnSqCoOmiQxANyC/3MvOojpqPDq+KLTSGrZ507IAUj7NLp+xuk9Ea6d9MoPoHKyBDgx/\ncUTyIAnmwIj0wRqosmqgqQr9HDZye8QRb4lk12PTJNZ6JbUeg52FbvLL3Ph0A92EbdHwvpTP5nE0\njTkSMXSVfSL+S5JZE5E4WIM5MPzF0XLecMUR7IERqYM1lLPMBKvKiB5x9E21oCr+0k2Ho6Bla6wt\nRTU620+4KK3xhbWVFuoZt5TP5jGYXT6bTmf2PhExdm/GWNGycHa0QHVm/pYVRmdj6EwcZm4LRVHo\nnmTFEW8hv8yNs1ZH71AEjZE0LDmkubw6HHB6SKr2MdBhxaopaB1sMnb1fdJ0nlgon02XY8a2aJjP\n7H1yupOWWQCdOfMLZ/dAZ86Cw9XX3nJbhBJHuM4yrZrCoG5xDM2MI07rSNdjQ2vMf5disKrcOjtO\n1nG0woNPj519EmoM4ao0O9MyCee1ILPLZ8P8sVBnnK4kmbUjlIMkUt0DoSaTSB0YoR6skbhwnRyn\nMiorjl7JWpAJLbQuxWCdqPKx44SLMldwXY+R3ifBVuKRGkwQi8dJe07lbXE6km7GIPgrnC0LXjQK\nZHtdO53tsgklDjO3haIo9EyxkZFocLDUTaVbx38+CX8Sa8qjwzclHlLjfAxIt6IprbseT5d90nTZ\nsVA+m67PjDhipc44nUjLLAT+zvzMOLPyd6BE6iyzrRjM3hY2TWFoZhyDu9mwqk1TVni6FINVXqez\n/Xgdxys9zUY9no77pGkcZpbPhnU1rLvpXzTjiJV9cjqQZNYB/s78ol0o/R0kZhwYTSuulnFFS6q9\n/rdp2clN78cZ3RgM4Filj69O1uHymHv9Ixb2ScN6ITbKZ6DX0YwD5DdjkSTJrIMaCqLZBTJW4jA7\nBlVRyEm1NURiWhx1PoNvq7wBuj2jz+xyESvl0+z1N40hFmI5FUkyE0II0eVJMhNCCNHlSTITQgjR\n5UkyE0II0eVJMhNCCNHlSTITQgjR5UkyE0II0eVJMhNCCNHlSTITQgjR5SlGuJ4oJ4QQQphEWmZC\nCCG6PElmQgghujxJZkIIIbo8SWZCCCG6PElmQgghujxJZkIIIbo8SWZCCCG6PElmMaigoIA5c+aQ\nl5fH+PHjmTNnDgUFBUHNW1ZWxsSJE5k1a1aEozRHqNvG6/Xy9NNPM3XqVEaPHs20adNYs2ZNFCOO\nrNraWhYsWMDkyZMZO3YsV199NZ9//nnA6T///HOuueYaxo0bx6RJk3jggQeora2NYsTRFer2ee+9\n97j88ssZM2YM5557LosWLTqlt88pxRAxxe12G9OmTTN+85vfGCUlJUZ5ebkxf/5848ILLzTcbne7\n8//61782xo4da1x33XVRiDa6OrJtHnvsMeP88883vv76a8Pr9Rrr1683hg0bZnz44YdRjj4y5s+f\nb1x66aXGwYMHDZfLZbzyyitGbm6uceDAgVbTHjp0yMjNzTVeeuklo6amxjhy5Ihx+eWXG/Pnzzch\n8ugIZfts2LDBGD58uPHee+8ZHo/H+Oabb4xzzz3XWLJkiQmRi1BJMosx//jHP4yhQ4capaWlje85\nnU5j2LBhxvr169ucd/369cY555xjPPzww6dkMuvItnnyySeNdevWNXvv0ksvNRYtWhTRWKOhrKzM\nGD58eKvvftlll/mtgH/3u98Zl156abP31q9fb5x55plGSUlJRGM1Q6jb56233jKWL1/e7L3Fixcb\nM2fOjGicIjykmzHGbN++nT59+uBwOBrfS0tLIycnhx07dgScr6ysjAULFrBo0SISExOjEWrUdWTb\n3HXXXVx44YWNr91uN4WFhWRnZ0c83kjbtWsXHo+HESNGNHt/5MiRfrfH9u3bGTlyZKtpvV4vu3bt\nimisZgh1+8ycOZM5c+Y0e6+goOCUKCunA4vZAZxuvF4vNTU1AT93Op2kpqa2et/hcFBSUhJwvkWL\nFjFx4kTOO+88vvzyy7DEGm2R2jYNDMPgwQcfxG63c/XVV3cq1lhQWloK1Cf0pgJtj9LS0lbbr+HE\nIJjt19WEun1a+utf/8rGjRv5y1/+EpH4RHhJMouyL774gtmzZwf8vK1KVlEUv+9/+OGHfPHFF7zz\nzjudjs9Mkdg2DVwuF/PmzeOrr75i9erVJCUldTjOrqC97dHZ6bu69r7vqlWreOaZZ3jyySdbtWZF\nbJJkFmV5eXns3bs34OdLly6lrKys1ftOp5OMjIxW7zftXkxJSQlrrNEW7m3ToLS0lFtvvRWr1cqr\nr77a5rRdSbdu3YD6MtCjR4/G9wNtj4yMjFbbz+l0ApCZmRnBSM0R6vYB0HWd+++/n08//ZQXX3xR\nElkXItfMYsyYMWMoKCho1g1SXFzMkSNHGDduXKvpP/74Y4qLi5k/fz5nn302Z599NqtWrWLr1q2c\nffbZHD9+PJrhR1So2wagqqqKm266iZycHF588cVTJpEB5ObmYrPZ2L59e7P3t27d6nd7jBkzptW1\noi1btmCz2VpdVzoVhLp9AB544AF27NjB66+/LomsqzF7BIpozuv1GjNmzDDmzp1rlJaWGiUlJcZd\nd91lXHrppYbX6zUMwzBefvnlxtGKNTU1xvHjx5v9/fa3vzWuuuoq4/jx443znApC3TaGYRiLFi0y\nrrnmGsPj8ZgVdkQ9+OCDxiWXXGIcPHjQqKmpMVatWmWMHj3aOHr0qLFjxw5j2rRpxrFjxwzDMIyC\nggJj1KhRxvPPP2/U1tYaBw4cMKZPn24sXLjQ5G8ROaFsnw8++MA466yzjBMnTpgctegI6WaMMZqm\nsWLFCh566CEmT56Moijk5eWxYsUKNE0D6rtJ8vPzAYiPjyc+Pr7ZMpKSkrDZbGRlZUU9/kgKddsA\n/OUvf0FRFMaMGdNsWT179mTdunVRjT8S7rnnHh599FGuvfZaqqurGTZsGKtWraJXr14cPXqUQ4cO\n4fF4AOjduzcrV67k0Ucf5fHHHyclJYUZM2bw61//2uRvETmhbJ8///nPVFZWMmXKlFbLef/99+nV\nq1e0wxchkCdNCyGE6PLkmpkQQoguT5KZEEKILk+SmRBCiC5PkpkQQoguT5KZEEKILk+SmRBCiC5P\nkpmIuvnz5zNkyJBWf2eddRa33nprm08HeOKJJxgyZAj33ntvp2KYNWsWV111VePrIUOG8NhjjzW+\n/vjjjzn//PPJzc1ly5YtANx3332MHTuWiy++OOj1TJ48ufH7rV27tlMxx4Jly5Y1fp9T9QGwomuS\nZCZMkZ6ezsaNGxv/Pv30U5YvX47X62XWrFns2bOn1Tw+n4+1a9cybNgw3nvvvbA+AXjjxo3cdttt\nja+feuopEhMTee+998jNzWXPnj289tpr/PSnP+X5558Padk33ngjGzduDCkJxqqG7zJ9+nSzQxGi\nGUlmwhSqqpKZmdn416NHD8aNG8eyZcuwWq2sWbOm1TyfffYZxcXFPPzww9TV1YX1Dh6ZmZnNngNX\nXl7O4MGDycnJIS4ujoqKCgDGjRvX7Ka1wUhISCAzMxO73R62eM2SmJh4ynwXcWqRZCZiSmJiIn36\n9PF7g+TXX3+d8ePHM2zYMM4991zeeOONoJa5efNmLrvsMnJzc5k6dSpvvvlmq2kauhmPHj3KkCFD\nOHbsGO+++25jd1pDl9ott9zC5MmTO/UdN2zYwDXXXMPo0aMZM2YMV1xxBevXr28Vz6pVq7j55pvJ\nzc3l0KFDQP0DNq+77jpGjx7NxIkTuffeexvvfG8YBs8++yzTpk1j5MiR/OAHP+COO+6goKCgcblu\nt5snnniC6dOnM3LkSCZNmsTSpUvxer3N1r927VpmzJjBiBEjmDp1KsuXL0fX9U59byEiSZKZiCku\nl4ujR4+2ug9eSUkJn3zyCVdccQUAV155JZs2bWpWUfvjdDqZM2cOKSkpvP766zzxxBO8/fbbHDhw\nwO/02dnZbNy4kaysLC644AI2btzI8uXLWbZsGQCPP/44r7/+eoe/X35+PrfffjuDBw/mzTff5G9/\n+xsTJkzgrrvuYvfu3c2mfe2118jLy2PdunX06tWLgwcPcsMNN9C/f39ee+01li5dyubNm5k7dy5Q\nn+yfe+45fvOb3/D++++zYsUKKioq+PnPf964zIULF/LCCy9w00038fbbbzN37lxeeuklfv/73zdO\n87e//Y377ruPq666qnGa5cuX8+yzz3b4ewsRaXKjYREzCgsLeeSRR6itreUnP/lJs8/efPNN4uPj\nmTp1KgDnnXce6enp/PWvf+UXv/hFwGV++OGHVFZWsnjxYvr27QvAH/7wB/Ly8vxOr2kamZmZaJpG\nXFxc43O+Gp7QnJKSQnp6eoe/Y1ZWFm+99RbZ2dkkJCQAcMcdd7BixQr++c9/cuaZZzZOm5qayo03\n3tj4es2aNcTHx7NgwYLGGys/8MADvPXWW1RVVbFr1y6ys7Mbb5Tbs2dPnnzySb799lt0XaeoqIi1\na9dy++2386Mf/QiAPn36cPToUf74xz9yxx13kJyczMqVK5k8eTLXX389AH379qWoqKjxyc1CxCJJ\nZsIUJSUlze5kr+s6LpeL3NxcnnvuOYYNG9Zs+tdff53p06cTFxcHgNVq5dJLL+XNN9/kzjvvDPjk\n4G+++YaEhITGRAb1CWngwIER+Fbti4uLY//+/Tz00EMcOHCA6urqxs9aPjhz+PDhzV5/9dVXnHnm\nmY2JDGDChAlMmDABgEmTJvHqq69yww03cNlll/GDH/yA7OzsxuS7c+dOdF1vlcjHjx/P0qVL2bt3\nL7m5uezbt4+ZM2c2m+ZnP/tZ57+8EBEkyUyYIi0tjf/7v/9rfL1t2zbmzZvHbbfd1lg5N9i6dSsH\nDx7k4MGDzeZp8O9//5vx48f7XU91dbXfwQqJiYmtrhNFw/r16/nFL37BxRdfzJ133klGRgaKonDh\nhRf6jbGpiooKsrOzAy77vPPO46WXXuKll15iyZIlVFZWMmrUKObNm8fYsWOpqqoC6kckqup/rzA0\nPDijqKiocaBLy3ULEeskmQlTaJrWrLXUt29f3n//fRYuXMjZZ59NcnJy42evv/46gwYNavY7sAb3\n3nsvb7zxRsBklpCQgMvlavV+ZWVlq+fARcNbb71FVlYWjz/+eGNCKSwsDGrebt26UV5e3uY048aN\nY9y4cXi9XrZs2cLTTz/NLbfcwieffNLYVfrYY48xePBgv8uPi4tDVdV21yNErJEBICKt9NlvAAAD\nE0lEQVRm3HfffVRWVjYbjFBdXc17773HJZdcwrBhw1r9zZw5k/Xr1ze2Olrq378/NTU1zQZ8OJ1O\nDh48GPHv44/H4yElJaVZy+ivf/0r8N8WUiC5ubns3LkTt9vd+N6///1vfvKTn1BYWMhnn33Gvn37\nALBYLJx99tncfffdVFdXc+jQIXJzc9E0jZMnT9K3b9/Gv27dumG1WklKSsJqtTJkyBC2bt3abN3P\nP/98m9cmhTCbJDMRM3r37s3tt9/Oq6++yqZNmwB49913qamp4ZJLLvE7z/Tp06mrq+Odd97x+/nU\nqVOx2+0sXryYPXv2sHPnTn71q191ahBHg8cff5xrr702pHlGjx7N/v37effddykoKGDlypXs2LGD\n7Oxs9uzZ02YrbdasWXg8HubNm8fhw4fZtm0bS5YswWaz0b17d9auXcsdd9zBxo0b+fbbb/nmm294\n/vnnycjIYODAgWRkZPCjH/2IZcuW8fe//52CggK2bdvGbbfdxuzZsxufuHzTTTexceNGVqxYwbFj\nx1i/fn3jnT+EiFWSzERMmT17NgMHDuS+++6jrq6ON954g+HDhzfrkmwqKyuLMWPGBLxVVPfu3Xn6\n6acpLCzkRz/6Eb/85S+ZOXMmI0aM6HSsRUVF5OfnhzTP9ddfz8yZM3nwwQe58sor2b9/P48++ig/\n+9nP2Lx5M/Pnzw84b05ODqtXr+bEiRNcdtll3HnnneTm5rJ06VIAFi1axPjx47n33nu58MILueGG\nG6iqqmL16tUkJSUB9aMff/rTn/LEE09w0UUXMWfOHLKzs3nxxRexWq0AzJw5k0WLFrF27VqmTZvG\nI488wq233trsDilCxBrFaK9vQwjRYZMnT+byyy/nzjvvNDuUsJo/fz7Hjh3j5ZdfNjsUIQBpmQkR\ncTU1NRQVFfkdiNLVVFdXnzLfRZxaJJkJEWGrV69m4sSJvPvuu2aH0mkN3+W9994zOxQhmpFuRiGE\nEF2etMyEEEJ0eZLMhBBCdHmSzIQQQnR5ksyEEEJ0eZLMhBBCdHmSzIQQQnR5/x/o2X1xZ5hX/wAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe8ffb5fe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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3b9/Opz/96QEfsVisZ91t27Zxyy23cMstt7B06dI++9q9ezevvPIKf/EXf3HK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe8ff5e0da0>"
      ]
     },
     "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": 13,
   "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": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "102 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"fireworks_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": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/Fireworks.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
}