{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XMM-LSS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XMM-LSS Photometric Redshifts - V1 (20180518)\n",
    "\n",
    "XMM-LSS/master_catalogue_xmm-lss_20180221_photoz_2010518_r_optimised.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_XMM-LSS/data/master_catalogue_XMM-LSS_20180221.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_XMM-LSS/data/XMM-LSS-specz-v2.8.fits\n",
    "\n",
    "#### Templates used:\n",
    "\n",
    "- EAZY Default\n",
    "- Atlas of Galaxy SEDs (Brown et al. 2014)\n",
    "- XMM-COSMOS Template library\n",
    "\n",
    "#### Filters used:\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| CTIO/DECAM             | decam_g        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_r        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_i        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_z        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_y        | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_u      | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_g      | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_r      | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_i      | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_y      | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_z      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_g      | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_r      | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_i      | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_z      | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_y      | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_n816   | Yes    | Yes  |\n",
    "| Subaru/HSC             | suprime_n921   | Yes    | Yes  |\n",
    "| Subaru/SuprimeCam      | suprime_b      | Yes    | Yes  |\n",
    "| Subaru/SuprimeCam      | suprime_v      | Yes    | Yes  |\n",
    "| Subaru/SuprimeCam      | suprime_rc     | Yes    | Yes  |\n",
    "| Subaru/SuprimeCam      | suprime_ip     | Yes    | Yes  |\n",
    "| Subaru/SuprimeCam      | suprime_zp     | Yes    | Yes  |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_g         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_r         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_i         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_z         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_y         | Yes    | No   |\n",
    "| HST/ACS                | acs_f606w      | Yes    | Yes  |\n",
    "| HST/ACS                | acs_f814w      | Yes    | Yes  |\n",
    "| HST/WFC3               | wfc3_f125w     | Yes    | Yes  |\n",
    "| HST/WFC3               | wfc3_f160w     | Yes    | Yes  |\n",
    "| VISTA/VIRCAM           | vista_z       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_y       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_j       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_h       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_k       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM           | ukidss_y       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_j       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_h       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_k       | Yes    | Yes   |\n",
    "| CFHT/WIRCAM           | wircam_j       | Yes    | Yes    |\n",
    "| CFHT/WIRCAM           | wircam_h       | Yes    | Yes    |\n",
    "| CFHT/WIRCAM           | wircam_ks       | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | irac_i1        | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | irac_i2        | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | irac_i3        | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | irac_i4        | Yes    | Yes   |\n",
    "\n",
    "\n",
    "#### Additional Machine Learning Estimates\n",
    "\n",
    "For the main galaxy population, three additional Gaussian Process machine learning estimates were also incorporated into the Bayesian combination estimates. These were training using the combined spectroscopic sample of XMM-LSS with cost-sensitive learning weights calibrated specifically for the XMM-LSS field.\n",
    "The three sets of filters used were:\n",
    "- CFHT/MegaCam u,g,r,z\n",
    "- Subaru/HSC g,r,i,z,y\n",
    "- Subaru/HSC g,r,i,z + VISTA/VIRCAM J and Ks\n",
    "\n",
    "Additionally, an AGN classifier was trained using the following filters:\n",
    "- Subaru/HSC g,r,i,z + VISTA/VIRCAM J and Ks + Spitzer/IRAC 3.6um\n",
    "\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in either any of the optical r-bands.\n",
    " - Sources must also have S/N > 2 in at least 4 bands at different wavelengths for a redshift to have been estimated (i.e. multiple r-band detections count only as one). Multiple detections in similar optical bands do not count due to the issues described below.\n",
    "\n",
    "For a very small subset of sources, EAZY struggled to converge on fit. For the three subsets of 25k sources that this issue occurred in, the EAZY requirement of NMIN colours was raised to 6 when fitting the eazy template set. This change was not required for the Atlas/COSMOS libraries."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import properscoring as ps\n",
    "from astropy.table import Table\n",
    "from scipy.stats import ks_2samp\n",
    "import h5py as h\n",
    "import matplotlib as mpl\n",
    "import corner\n",
    "\n",
    "from astropy.convolution import Gaussian1DKernel, convolve\n",
    "\n",
    "def pz2d_stack(pz, zspec, zgrid, smooth=3):\n",
    "    \"\"\" Build a 2D stack of the photometric redshift P(z) predictions\n",
    "    \n",
    "    Inputs\n",
    "    ------\n",
    "    \n",
    "    pz : 2D array, (N x M)\n",
    "        Photo-z PDF array of N sources with M redshift steps\n",
    "    zspec : array, len(N)\n",
    "        Corresponding spectroscopic redshifts for the N sources\n",
    "    zgrid : array, len(M)\n",
    "        Redshift grid on which the redshift PDFs are samples\n",
    "    smooth : int\n",
    "        Number of redshift bins along which to smooth the stacked PDF\n",
    "    \n",
    "    \"\"\"\n",
    "    kernel = Gaussian1DKernel(smooth)\n",
    "    photoz_stack = np.zeros((len(zgrid), len(zgrid)))\n",
    "\n",
    "    for iz, z in enumerate(zspec):\n",
    "        znearest = np.argmin(np.abs(z - zgrid))\n",
    "\n",
    "        # Axis 0 = zspec, axis 1 = photoz\n",
    "        pdf = pz[iz, :]\n",
    "        pdf[np.isnan(pdf)] = 0.\n",
    "        pdf[np.isinf(pdf)] = 0.\n",
    "\n",
    "        #print('{0} {1}'.format(z, zgrid[znearest]))\n",
    "        photoz_stack[znearest,:] += pdf\n",
    "    \n",
    "\n",
    "    photoz_stack /= np.trapz(photoz_stack, zgrid, axis=1)[:, None]\n",
    "    photoz_stack[np.isnan(photoz_stack)] = 0.\n",
    "\n",
    "    photoz_stack_smoothed = np.zeros((len(zgrid), len(zgrid)))\n",
    "    for i in range(len(photoz_zgrid)):\n",
    "        photoz_stack_smoothed[:,i] = convolve(photoz_stack[:,i], kernel)\n",
    "    \n",
    "    return photoz_stack_smoothed.T\n",
    "\n",
    "def calcStats(photoz, specz):\n",
    "    pzgood = (photoz >= 0.)\n",
    "    szgood = (specz >= 0.)\n",
    "    cut = np.logical_and(pzgood, szgood)\n",
    "    \n",
    "    pc_pzbad = (len(photoz) - float(pzgood.sum())) / len(photoz)*100.\n",
    "\n",
    "    photoz = photoz[cut]\n",
    "    specz = specz[cut]\n",
    "    \n",
    "    dz = photoz - specz\n",
    "    \n",
    "    sigma_all = np.sqrt( np.sum((dz/(1+specz))**2) / float(len(dz)))\n",
    "    nmad = 1.48 * np.median( np.abs((dz - np.median(dz)) / (1+specz)))\n",
    "    #nmad = 1.48 * np.median( np.abs(dz) / (1+specz))\n",
    "    bias = np.median(dz/(1+specz))\n",
    "    \n",
    "    ol1 = (np.abs(dz)/(1+specz) > 0.2 )\n",
    "    OLF1 = np.sum( ol1 ) / float(len(dz))\n",
    "    sigma_ol1 = np.sqrt( np.sum((dz[np.invert(ol1)]/(1+specz[np.invert(ol1)]))**2) / float(len(dz[np.invert(ol1)])))\n",
    "    \n",
    "    ol2 = (np.abs(dz)/(1+specz) > 5*nmad )\n",
    "    OLF2 = np.sum( ol2 ) / float(len(dz))\n",
    "    sigma_ol2 = np.sqrt( np.sum((dz[np.invert(ol2)]/(1+specz[np.invert(ol2)]))**2) / float(len(dz[np.invert(ol2)])))\n",
    "    KSscore = ks_2samp(specz, photoz)[0]\n",
    "    \n",
    "    #print('Sigma_all: {0:.3f}'.format(sigma_all))\n",
    "    #print('Sigma_NMAD: {0:.3f}'.format(nmad))\n",
    "    #print('Bias: {0:.3f}'.format(bias))\n",
    "    \n",
    "    #print('OLF: Def1 = {0:.3f} Def2 = {1:0.3f}'.format(OLF1, OLF2))\n",
    "    #print('Sigma_OL: Def 1 = {0:.3f} Def2 = {1:0.3f}'.format(sigma_ol1, sigma_ol2))\n",
    "    #print('KS: {0:.3f}'.format(KSscore))\n",
    "\n",
    "    return [sigma_all, nmad, bias, OLF1, sigma_ol1, OLF2, sigma_ol2, KSscore, pc_pzbad]\n",
    "\n",
    "def calc_HPDciv(pz, zgrid, specz, dz = 0.005):\n",
    "    dz = np.diff(zgrid[:2])\n",
    "\n",
    "    i_zspec = np.argmin((np.abs(specz[:,None] - zgrid[None,:])), axis=1)\n",
    "    pz_s = pz[np.arange(len(i_zspec)), i_zspec]\n",
    "    mask = (pz < pz_s[:, None])\n",
    "    ipz_masked = np.copy(pz)\n",
    "    ipz_masked[mask] *= 0.\n",
    "\n",
    "    CI = np.trapz(ipz_masked, zgrid, axis=1) / np.trapz(pz, zgrid, axis=1)\n",
    "\n",
    "    return CI\n",
    "\n",
    "def calc_ci_dist(pz, zgrid, specz):\n",
    "    ci_pdf = calc_HPDciv(pz, zgrid, specz)\n",
    "    nbins = 100\n",
    "    hist, bin_edges = np.histogram(ci_pdf, bins=nbins, range=(0,1), normed=True)\n",
    "    cumhist = np.cumsum(hist)/nbins\n",
    "    bin_max = 0.5*(bin_edges[:-1]+bin_edges[1:])\n",
    "    \n",
    "    return cumhist, bin_max\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "photometry = Table.read('master_catalogue_xmm-lss_20180221_processed.fits.mod')\n",
    "photoz = Table.read('full/photoz_all_merged.fits')\n",
    "\n",
    "best = np.abs(np.array([photoz['chi_r_eazy'], photoz['chi_r_atlas'],photoz['chi_r_cosmos']])).min(0)\n",
    "good = np.logical_and(best != 99., photoz['chi_r_stellar'] > 0.)\n",
    "\n",
    "z_spec = photometry['z_spec']\n",
    "AGN = photometry['AGN']\n",
    "\n",
    "zs_gal = np.logical_and(z_spec >= 0, AGN == 0)\n",
    "zs_agn = np.logical_and(z_spec >= 0, AGN == 1)\n",
    "\n",
    "photoz_hdf = h.File('full/pz_all_hb.hdf', mode='r')\n",
    "#photoz_hdf = h.File('../XMM-LSS/full/pz_all_hb.hdf', mode='r')\n",
    "photoz_pdf = photoz_hdf['Pz']\n",
    "photoz_zgrid = photoz_hdf['zgrid'][:]\n",
    "\n",
    "#photometry = Table.read('../XMM-LSS/xmm-lss_processed.fits')\n",
    "#photoz = Table.read('../XMM-LSS/full/photoz_all_merged.fits')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\chi^{2}$ Properties\n",
    "\n",
    "#### Distribution of normalised $\\chi^{2}$ \n",
    "Due to the number of filters used per source varying between template sets and between sources themselves, in the following plots we use a normalised  $\\chi^{2}$ defined as $\\chi^{2}_{\\rm{r}} = \\chi^{2} / (N_{\\rm{filt}}-1)$. However we note this is not the formal reduced $\\chi^{2}$ and therefore should not necessarily be used to judge the goodness-of-fit for individual sources."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
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   "outputs": [
    {
     "name": "stderr",
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     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in log10\n",
      "  \n"
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57a40b36d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1)\n",
    "Ax.hist(np.log10(photoz['chi_r_eazy'][good]), bins=100, range=(-3,2.5), histtype='step', label='EAZY')\n",
    "Ax.hist(np.log10(photoz['chi_r_atlas'][good]), bins=100, range=(-3,2.5), histtype='step', label='Atlas')\n",
    "Ax.hist(np.log10(photoz['chi_r_cosmos'][good]), bins=100, range=(-3,2.5), histtype='step', label='XMM-COSMOS')\n",
    "#Ax.hist(np.log10(photoz['chi_r_stellar']), bins=100, range=(-3,2.5), histtype='step')\n",
    "\n",
    "\n",
    "Leg = Ax.legend(loc='upper right', prop={'size':10}, frameon=False)\n",
    "Ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r}}$')\n",
    "Ax.set_ylabel('N')\n",
    "Ax.set_xlim([-2, 2.5])\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_chi2_distributions.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Galaxy/AGN vs stellar templates - $\\chi^{2}$ \n",
    "\n",
    "We now plot the distribution of 'Best' normalised $\\chi^{2}$ from the Galaxy/AGN template libraries vs the normalised $\\chi^{2}$ from fits to the Pickles library of stellar templates. Sources are split by apparent optical magnitude with the relative number of sources indicated in each panel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in log10\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "image/png": 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Yv98vZrEajYbW1laMRiP5+flYLBbi8ThNTU1CCJSens4jjzxCRUUFL774oiil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8+WX/rSl0b4MLds2TJi7J/97Gdy7dq18uyzz5Z/9Vd/JaWUcmBgQH7gAx+Q69atk2vWrJGf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05LHHHmP+/PlUVVXt1vsODQ3xhz/8gRdffJFAIMDVV1/FOQduZHTLT1nxnWfZuHETN9xw\nE4sWLeJjH/uYJMFNRnV1Na2trZJhHA6HqampkWLrPp+PQCBAIpEgHo9LJ5T29nZp+lwqQPcOZrpW\nkgUKgPru93sTa4EmRVHqGAvKk4Ev7IkXVlWVZ599li9/+ctFGXN7Gn6/H6BocOwMn/3sZxkeHuaP\nf/wjF198MTqdjrlz5/L2229PcAVpb2/nxku/yHG2m9BlE7zzwNdpbz+IP/7xj7z88sssXry46AdR\neXk5Pp+PXC5HeXm5lKzL5/P4/X6ampqw2WyS/CPaPjDW2slkMjidTqqrq+V1m802wadvV4O21DLa\nbXwkY1JVVY477jjuuusu7rrrLk466aQ9coNvvPEGTzzxBD/84Q93mS8g4Pf76enpkcXerqJQKPD3\nv/+de+65B1VV+e53v8sZp59O+Y7/xdZzG4YsWAs2HnnkEfL5PIcddhhlZWWEQqEpp2OXy8URRxwB\njFmJdXd3k8/npUBBWVmZFAAR3pZWq5VCoSDXyUozy72HmayVnAd8FfgrY+2fPyqK8htVVX+xN25M\nVdWcoijnAI8xRmG/VVXV9Tt7jmiHTIbT6Zyw85XL5YhEIlIfdjJ2NsMshulmmCLoxKlMyNQVm2FG\nIpGi9Pt58+axdOlSnnjiCZ5//nn6+vo44ogjqKqq4qijjqKmpgZ7eh0N276OTk1y53MQmfUdHr75\n+1xyySXceOONLFy4kJ6eHhlAZrMZq9UqW6lOp5OWlhbKysrweDzSGFrsTMbjcTmTFAltYGBAznCG\nh4cniBGI9s9MgrbUMpo5PgoxOR0SiQR33XUX11xzzR5LljDm+mEwGPjiF2d+wD7xxBP53ve+x7PP\nPsvy5cvf8/G5XI6XX36ZBx98kM2bN9PR0cEZZ5zBiZ/+NI6NP8S241bSWfjG3RXccNtfSKfTHH/8\n8bS0tLBp06YpydJsNtPZ2UkgEKCvrw+LxYLf78dqtRKPx+VcNRKJEAwGyeVyknsgOjQajUYWq1Aq\nQPc0ZnLCPAM4QFXVOICiKNcCq4G9EpwAqqo+DDy8q4/P5/PTiqmPvy4Sk2hxTsZ0p6Hp5ijFXsNg\nMMiAqKysRKvV0tfXh9VqLVq9BgKBomSEBQsW4HQ6p1TLhUIBj8dDYfA5lFVno1dS/O1FA45j/sK3\nDziI448/XopBv/TSSxPusby8HI/Hg8PhoK6ujgULFtDc3IxWq8Xv98v1EZEkgSmSX7lcDrvdLr8X\nM5TxrSCTyUQsFivtXe497PMxKSQVxyOVShGNRvnyl7/M//zP/0woOMUS/mRMR/pJpVIynpLJJH/8\n4x857rjj0Ov1RYl+oVBoyv3AWAHY0NCA3+/njjvukHqv4XB4SryOjo6yatUqbrrpJsLhMB6Ph69+\n9assXrwYg8FA4YXzsCf+RjoLlz/Zybd+fAdvvvkmp556KvX19WzevHnKa1osFoxGI5lMhlAoRCgU\n4sADD6S5uRmNRsPQ0BB6vR6z2Uwul5M8hGQyOYFIVygUGB0dRafTlRS19gJmkjAVxtzcBYSz+0cO\nwtT4gxIb1mq11NTUsGrVKs4///w95grwzDPP8NPLzuZXJ6bYMOpn4TdWs727l4ULFxIKhSao94xH\noVDg0EMPpbGxEbPZTGNjo9SehbEPBKPRiMPhmCA+kEqlirqLTPa1jEQiMnGKZCqCWgRwacayR7DP\nx6T4/18gn8+jqirLli0r6u26M3JPsevjC9O7776b0dFRvvKVr0zwjhwPr9dbNGHW1dXhdDo55ZRT\nuP7663n44Yepra0FxpivJpOJnp4ennrqKZ599llUVWXFihWcdtppHHnkkWi1WqLRKNdccw0vbr2X\nH30eHk+cyaW/uZEXX3yRlStXUlFRMWV1RPwOggiYz+exWCy0t7dTUVEhC/14PC4JQIVCgWQyid/v\nx2AwTBAjGB93sVhsSuyWYu39YSaf3Lcxxsi7l7Gg/BRw6165q70MRVHo7e1lZGTkPY2b9xR+8IMf\nsHLlSq677jouvvji9/VaPT09/Pon/8PNf/oH1dXVrHH/jE+ccTo3//Z3XHDBBVRWVpJO7Nkt2AAA\nIABJREFUp6cEZllZmWTExuNxBgcHqayspKenh2w2S1lZmazMQ6EQhUKBlpaWCWshApO/LxQKE06T\n44k/MNXvskTy2SP4SMWkqqrMmTOHUCjE3Xffvcf5A6tXr8ZqtbJs2bKiUpi7ghNOOIFVq1Zx++23\nFx21eL1eVq5cySc/+UmWLl0qr697/XUuv+DLrHphO1/96leJHX4Wn6zq5O6772blypWUl5ezcePG\nogWs8M612+243W4WLVpEIBCgq6uLwcFB6urqqK6uxufzYTKZ2LhxI1qtFrfbjcfjmVB4ajQauYNZ\nKBSk3rP4XUqx9v4wE5bsdYqiPMm/GXlf3lvyW7uL6XQrXS7XBN1VYYP13HPP8YlPfGLK4wVppdj1\nYphub2z8fPRzn/scjz32GNdeey3Lly9nyZIlEx4/nZPHeHf5ZDLJr371K9Y8/HMe+FaGlQctpOUL\nf6egqpx2+lf4y1/+wsc//nEeeeSRKYFZVVXFrFmzZIWdSqXkDDOfz+N0OqmtrcVsNrNx40bi8Tgb\nNmzA6XSi0+mm9csTFa1ImDCR+CNOnpP3L0skn/ePj0JMjkehUODFF1/kpptu2ivuGE1NTbIQ3N2/\nK7vdzm233UYqlWJ4eJgtW7bgdDpJpVI4HA5qamrkbjKMFQG///1tmNZfxANfK/CS80oO+dR3KRQK\n/PCHP+TKK6/k4IMP5u23355WOMHlchEIBHA6nbhcLjKZDKqqYjKZUBQFs9lMeXk5iqLw3HPPEYlE\naGxslGba442lRfKcTL6b3B0qYfegFCO9THiAokQZY+DJS+O+V1VV3Wc0zrRarVqsajWbzRN2wYQz\nyYUXXsiVV1455fHTaclORwYq9m9YbBYTDoflLHLNmjUT/C3T6fSUijufz/Paa6+xZs0ann32WZ56\n6inqHQP84/s6LPocas3neDB0EudfeJEUahZizOMhaOpms5mGhgZMJhM2m40DDjhAKvPY7Xb8fj+Z\nTAaXy8X27dvlvtq2bduora0t6q8niD3jRQlKbZ/3hqIoL6qqumg3n/uRiUmTyaSONz3X6/XSTHwm\nYurTCRTEYjEZN08//TTHHXccf/vb3+js7Cy6b9nd3V20Jbthw4aimrG9vb3U1NQUvc/e3l6uueZq\nVna8xnnHQkHRE533e6KOZZx22mn84x//wGQyYbfb0Wq1U8TazWYzBoOByspKWltbyefzpFIprFYr\ns2fPprq6WlrmCa1mvV6PqqosWrRIyme63W7q6upk10aMUkrYdexqPL7nCVNVVfueuaV9B4qisGDB\nAule8EGslsAYW/e2225jxYoVLF++nG9961scdthh6HQ6stksBoNBii/89a9/5de//jXbtm0Dxk6I\nZ53YwQ+WPodOTZDwH89nrx7h4UdOpKmpCUVRin4ACfWepUuXMjIywty5c0mn09TW1lJXV4dWq8Vu\nt0sWnnAYaWpqIpFIkMlkZPAVa6FOFnUuYe/joxST+XyeRCIhlWlOOeUUHA7HtMXndDNMvV5fNJEK\n3WNAFqNvvvkmy5cvLxrXgUCgaCLVarVF9Y1FV2Y8/vnPf3L55ZezevVqbv26nZUHg6oxwKH38Mwr\nCqefvoBYLCZjWayTje9EeTwe/H4/JpOJOXPmEAgEyGQydHV1AWPEvLKyMnp7e7FYLIyOjpJIJDjw\nwAOprKycwCoX+rGlrs3ex3ueMD9K2NUTJowFciaT4bzzzuP666+f8LO9dcKEsXWTRx55hB/84Ae8\n8cbOxViWLVvGKaecwhFHHMGsoBPtw80omRF6DctZdO6bDA2HpWXW+PvKZrPodDqCwaCUs/N4PIyM\njNDR0UFFRYVUPFEUhba2NnQ6HSaTSbqMiGpVnBzFkvV0rdkSZob3c8L8KEGv16smk4lMJkMmk2Hd\nunW0tbXtdHWrWMKcLp4mnzybmpqYPXs2d9xxR9EVM2FRNxnDw8NFE6ZwAoGx0+a5557Lo48+SjAY\n5E+XHcbh1jtRNQZyB/2Z7/9yNT/60Y+YO3cu69evn/L7idGKzWbD6/VSXV1Nc3OztM/LZrP09PTg\n8/moq6uTpESv1ytX0pYsWYLL5WJ4eJhsNsusWbNK8bgHsMdOmB8lTLeHOZ0zhtls5uc//znLly/n\nv/7rv+T1nc0wi10vljCn29nMZrN87GMf45hjjmHdunW8+OKLskUsPO0ADjzwQDo6Osjn83Ium533\nM15/7FoOOO8pmltmMzA4POVDRKPR4PF4MJvNUmhAaOwajUbsdjsej0ca1IodL+Ghl0gkMJlMFAoF\nqQsrFqELhYIUdy6hhJlAVVUMBgNtbW179X3OOOMMLr30Um666Sa+/e1i7mczRzQa5eabb+aGG24g\nlUpxxRVXcOaZZ+Jz21FXpwj7TuQzZ9woW7DFkuV4pNNp4vE4hUKBqqoqOjo66O7uJpVK4XQ6mT17\nNrlcjnw+T1VVFUajkfr6esxmMzabDZPJRDabZWRkBKvVSnl5eYl1/gFhv0qYYgYwGaOjo0X3M81m\nMwsXLuT000/npZdekjTynXnv7eoJc7If5vj3FElu8eLFLF68GBhLxsUqaHXwOdJ9O7jr6Ri/+MUv\neOWVN9BoNGzYsGHKrNJkMkk6vbDXcrvdBINBvF4vBoOBbDaLyWQinU5PUAkR/z4DAwPE4/EJCRdK\nJJ0S3h9EezKdThctavcULrjgAl5//XUuvfRSWlpaipL6dhWRSITf/OY33HrrrYyMjHD00UdzzdVX\nM0f7GBltErQ+Hol9hbNPPVvuWFsslp0qeun1elwuFw6Hg1wux9atWzEajRNWwKxWK4ODg4TDYVpa\nWqS3p06nI5FIoNPpmDVrFlarVZKnJrPOp0ugpcT6/rBfJcyZQlEU1q9fj8Fg4Nhjj+Wyyy7jxBNP\nLJq4Pgzk+p5B/X/HoCuk+dVVkNA1TzvjgbHWjUajQavV4vF4pMGs3+8nl8vh8XioqamRtkCpVEq2\nWFOpFHq9XsrlZTIZLBYLuVyOUCiEz+crerIsBWAJO4NWq8VqtcqEGYlE8Pl807Zkp2Oii/3NyRCM\n0vH45S9/ycaNGznjjDN46KGHaG9vlz+bbt0kmUzKVm04HObWW2/ld7/7HZFIhGOPPZYLL7yQhQsW\nYFx/IYbNvya3+S5OuG0WDzz4fzQ1NWGxWKadswqYzWbsdjsdHR1YLBbphBKJRKSYSDQaxefz4Xa7\nsVqt8kS5fft23G73hL3L8XvkQj9WfMViMfr7+6Vdn0Bpnev94T86YcLYaVKcrj7/+c9TX1/Pt7/9\nbVauXFl01vFB4Y2nf0ft5v/GZizwdHclr23vpaB2TZuUXC7XBNZtRUUF9fX1cndLeFSazWY0Go1U\nAhGygb29vWg0GqqrqzEYDJIw0dfXR1dXF4VCQZ5ax2O6wCyhBBhLdPF4XK5hRKNR/H7/tF0cmF5p\nq9jjTSbTlCRlMBj485//zBFHHMEpp5zCU089JQ3O/X5/0ROuXq/n8ccf58EHH+TRRx8lFotx3HHH\ncdFFF42ZuKsqysvfQtn8a3IFLV+85k3+35ub0Wg0dHV1Tbi3YuMYr9eL2+3GbrfT0tJCOp2eoNRj\nt9vl6VGj0eD3+ykUCvT396PRaOjv75fG7MUSnRi9CHm86VDqFL0/7FcJU5BTJmO6Smr8B/zg4CA2\nmw2/388555zDZZddxje+8Q2+9rWvSXGDmcwwBStwMnb2GoVCgRdeeIEn77mGs2c/gM0Mf31Bzym/\n7EdFy3RjEZPJRFlZGfX19dJR/tVXX0Wr1dLe3i7nowaDQbLzLBYLBoNhgnyW0+mcEkhip2u89Fbp\nRFnCTCESyqOPPsrZZ5+9198vGAxy9913s2LFChoaGjjnnHNYvHixtLATf7uRSIRbb72Vm266ib6+\nPgKBACeddBJnnXUW8+bNG4thkSzf+QWZnMIJ1+d54g0D+XzyPWNAURQMBgN+v1+eEBVFkW4jIyMj\n5PN5CoUC+XyeSCRCT08P27Ztk52hYDCIxWLB7XYTDoelEQIwoQM0ORkW854taTa/P+x3LNlijDGh\n0TgZYpY3HmLXafny5Tz00EPYbDbOOussvv3tb8vl4V3BdEzbYtc3bdrEn/70J+644w7eeecdfn2G\nhrOOKHDXaoXTfqMhnSlOIIIxerpYbvZ6vcyaNQtVVYnFYrS2tnLQQQcxNDSE0Whk1qxZ2Gw2Ghsb\n0Wg0ZDIZmUTHM2DHJ0VgQoKMxWITtCon/7yEXcN/GktWVVUOPvhgnnvuOV599VVqa2unbckW+zsS\nJtOTsTONWb1ez7p167juuuv461//Kk+5wuGnrq6Ohx9+mHA4zLJlyzj//PM58sgjJ7y/qqrkYz0U\nHp6PQY1y2u/sPPBiHrPZXNRAGpjALRDjkba2Nukw0tbWJsXTN2zYQENDA2VlZWzdupVCoUB1dTWp\nVIpZs2bJmajJZJKn5PHdnL6+Pnbs2EFFRcUHJvW5P2JX47GUMKchA6VSKSnvpqoqOp2OL33pS5xz\nzjm75Gv5Xgkzk8nw0EMP8eMf/5h//etfKIrC8uXLePrpZ9Bq4CuHwa1PK+QLSlF3ExirXl0uF1ar\nVQZUc3MzNTU1sn1TXl5OKBSiubmZ5uZmMpkMXq8XnU5HJBIhFArJU6ZgxIoZSLEF6EKhwMDAgDSH\nLlWru4f/lIQ5Xrggn8+TzWbp7Ozk73//e9FEN91ayXslxsmIx+MTWq+ZTIa33nqLNWvW8Oabb/L6\n66/z9ttvs3TpUr75zW8yd+7cKX/LuWyW2/9wO1dddTXWwg6+cPyB/Pwvb6HVatHr9QwNDRX9ncVa\nl8lkwu1209TURC6XY3BwkMbGRtra2jAajdhsNjKZjHQM6u/vx+1209zcTD6fp62tjUwmw9DQEPl8\nntbWVnK53ATlnkKhIE+YpfWS3cd/5FrJnoZo8YrEeccdd/C73/2OQw45hC9+8YuccMIJ0pl9V5DN\nZnniiSe4++67ue+++xgdHaW+vh69Xs+y2Xp+tOIpPr1eS8+Iwm+f3Pl9iRarYMYKNRFR+cbjcWKx\nGOFwGFVVicfjkjC0bds2NBoNZrNZCmOLZXKxeymMaIu9t9CqLM1BSngv5HK5CUSbbDbL008/za9+\n9atpzduLFZp6vb7odaPRWDSRTnYFMplMLFmyhIULFxZNLKIoFt//34MPEl51OpmhYWpqDmDt2n6u\nuvXfBuyKMn0hK0YYgrxz8MEHs379eiKRCLlcjkKhwNatW8nlchiNRhobG6WCj8FgkEWty+WSs8lc\nLkcul5timydGJqXuzgeDUsLcBYjEaTabyefzhMNhzj77bM4++2wWL17Mxz/+cT7xiU+wYMEC+Yeb\nzWbp6+uju7ub7u5uHn/8ce677z65IJ1IJDAajfT19XFoq5a/nZvAYYZvHF3gu3+enmmn1+ux2WyS\nNWg0GqmoqJCKPQ6HQ+6jzpkzB4/Hw/bt2+XvIZRO4vE4brebdDotiUHj9V93FoClOUgJuwudTsdR\nRx3FRRddRE1NDZ/61Kc+7FuagA0bNvDf/30Wx1c+yTc/Buks3Pb0WhRl1xOSOCXn83n0ej3r16+n\nUChQVlYmC9uamhoikQhOp5POzk6ampro7u7G6XQSj8ex2Wxy57msrEzuQQujaPi3duzo6CixWKxk\n5/UBYL9KmBqNpmh7xmKxFCXgWK3WotdtNlvR6y6XC0VR2LFjB06nk0wmg1ar5fLLL+eyyy6jvLyc\niooKenp6GBgYmPAaQslDDPvFH/3iuhx/+0YKhxnu+pfC9+6e/g9eVJ1Wq5WBgQEKhQJer5eOjg70\ner30yxPrJWIpur6+nng8jsFgkIElKP65XE4mcVGtllDC3oKiKKxatYqmpiY+/elP85nPfIYbbrjh\nQ5+/5XI5rrvuOi699Idc90WVrx0xliy/fIuVN3ZMHdvsDGJfW4i1C5GBpqYmAoGA3Lns7OzEZrMx\nd+5cCoUCwWCQaDRKoVBAVdUJHRxh2SWKVRGnFouFWCw2wZO2hL2H/SphCrm7yYhGo3LgPx7hcLjo\ndVVVi77O0NDQlJnnK6+8gtFoJJ/PMzg4yMDAgGTGCXq5mFkqikI0GpWvsbhe5W/fKIwly9UKp/xS\nJV+YnuCTyWRwOByUl5eTTCaJRqM4HA5aWlrIZrNs3bqVcDiM0WiksrISRVEYHh6WRJ7nn39e7mDW\n1dVhMpnk6bmnpwe73U55eXmpSi1hr0KsSRiNRh588EGeeOIJrr32Ws4444wP5X5eeeUVzjzzTF5+\n+WXu/2EDxzdvIp2FU2428cSbeuC9E6bJZMJgMGC326Ves9FolOzXXC7HyMgIra2t9PX1kUwmpZXe\n2rVrpQiBKBzGJz4xWrHb7UVZr6URyQeH/SphflhQFGXKXMRoNJJMJnf6vB0j0B+Gh19R+PLNCvlC\ncQKWOAkrikIymUSr1cq5hXA8SKfTWCwWAoEAHR0d1NTUYLfbiUajwFiL2Gq1otVqGRkZkafV8vJy\nIpGIvNeS00EJexJirj4ZYlUrl8vR3t7OWWedxe23386NN97I3Llzpzw+n88XnVXOVJN2/OukUimu\nuuoqfvKTn8i1jIdX97CiFk67xcLf39Cj0723iInwmBWrH9lsFrvdLveWhRm7Xq+X7iTxeFyuktXV\n1eHxeGTyGx4eJhaLSV1nYAIpbzJKI5IPDqWE+SGgJaiyoQ96RhSWXaFhOA75wvTrKjqdDpfLJdux\nqqrK1ZDGxkYURZGuB8FgEJ/PR2VlpSQIiNmHz+cjGo0yODgo2zehUAiPx0N9fT1QWmguYc9CCBdM\nhqqqskhbs2YNBoOBt956i8WLF/Od73yHSy65ZMLfok6nm5YMNF0SKXZdp9MRi8W49dZbpSKQVquh\nyhHllVCaW/4B//eChr5wGnGynCxEoNPp5DWr1Yrb7cbv9zM6Oko4HCYcDqPT6XA6nZSVlWEwGKiq\nqmJkZAS9Xk9ZWRmjo6NEo1GsVqtMln19fVKWUij6wMTT5nRrNyV8MNivEqZQsJkMsQc2k+vFJLrM\nZvO00l2TIU59k3Fgo8q95xZ48CWFlb+BwejOE6XRaMTv91NZWUlFRQWKosjTZHV1NU1NTej1epxO\nJ16vl0KhMOHfwOFwEIlEGBwcxGq1Sq3ZsrIyQqEQO3bsAPjQZ0gl/OdCdGiE0s21117LX//6V265\n5RaWLVu2R9/rvvvu49xzz2XHjh0sWbIEo9HAdV8ocPryBCf+TMNjryv0hXe+a20ymTAajaiqKg2a\nRVzNnj2bwcFBYrGYXPdSFAW73S7jz2QyUV5eTnl5Oa2trdhsNt544w0GBgbw+Xw0NjZOIPBMVvEp\nnSY/POxXCbNQKEw7kyxGAY/H40WvizWSXb1eLOmm0+kpjx1LlioOM2gUlUJBJV8k/woxAREYlZWV\neDwedDodbrdbronAv30oxW7l9u3b8Xq9ciYp1kXEY3U6nXyOEG4W/1sMJWWfEj4oiMSiKAr5fJ7D\nDjuMM844gyuuuEKKZOwuuru7Offcc7n//vuZN28eQ0NDrFv3Otd9ocDZR+VIZ2EXuq8YDAaMRqNM\n7sIZyGw2Y7FYsNvtuN1uBgcH5dqI3W6nra1NFuiC71BfX4/H4yEWi0lZS7fbLeM+FovJuCtJ2u0b\nKH0CfkA4sFHlkQvGkuWdz8GXfkXRZGm323G5XPh8Ppqbm/H7/Wi1Wrq7u+nr68PpdOJwOGSrZ3h4\nGEVRqKqqIhKJMDAwwLZt2xgZGWFgYEBqUQYCgSkrIzqdjvLy8p0uPAuxZrGvWUIJM4EglU3+cjgc\nMtGM/xJ6q7FYDLPZzO23305TUxNXXHGFnPuN/xKM0umu9/f389Of/pT29nYef/xxvF4vGzduRK/X\n8eOTczJZnvpbCw+9svOTpV6vx2KxSN9YQa6z2+1ks1ni8ThvvfUWb7/9tuQXCLLf0NAQGo2Guro6\nOfO0Wq309vYyPDwsrby8Xu8EP1oRdzubYQqhkV3tfpWw+9ivTpj7Kmwmlfu+pb7Lhp2aLMc7EIg5\nTTAYJBAIyOXl4eFhampqSKVSmEwmamtrpcXP8PAwGzZsYGhoiGg0itPppKKiYkr7RgRgsX2t6U6S\npcq2hPeDfD5flPw2PDxclIkeCoXk4xVFQavVcswxx3DZZZfx29/+liuvvJIvfelLkrgz3hZLYPv2\n7dx7773ce++9PPPMMxQKBY455hhWrVolXXq+dIjK2UeqpLPw2RsUHnoltdOEI5K83+8nEAiwdetW\nVFUlnU6TSqXkmCSXy+H1egkGg3g8Hvr7+xkdHQWQzNmRkRHpadnb28vIyAhutxufzydjcyZxV3Ig\n+eCwXyVMRVGKVmBCRWMyDAbDjK7r9fqiQVXs2vggjqUUvnILnLhY5Su3TGXD+v1+fD4fRqORaDRK\nLpcjmUwyODiIoigEg0H8fj9er5dt27axY8cONBoNTqcTl8slaeuRSASr1crQ0JCcl2SzWcnS0+l0\n0+5rTRd0pZlJCR8mNBoNjz76KC6Xi6qqKk4//XS+//3v84lPfEIq6oi/dVVVueOOO1izZg0A7e3t\ncsXrySefnPDZcMdqOLId7n5eec+TJYwxYcvLy7FarQDU1NRIMp3BYMDpdKKqKi0tLbS2tsoTrl6v\nx2q1otfrCYVCcs/SbrdLzgGMJdPxRKWZxF2pqP3gsF8lzJ3NGIslNTFP2NXrYqeq2OOL4YAGlVk+\n+PO/4IEXx75g4mOF84CYLc6bN48dO3YwODhId3e3pKu7XC4aGhoIhUJkMhlSqZT0AgwGg2QyGWbN\nmkU0GsVkMkltyVwuJ+npotVTLLDeb9CVZp0l7E0IxRyj0Uh7ezv3338/iURCtmkFWltbMRgMWK3W\nd1uv44VMVL5zbJbfrVLpCyucdvPERKkoinwtRVGk1quIM5/PJ8k3whVJtEnj8TjJZBJFUWhqapJj\nEbfbjcPhoL6+nnA4jNlsxmQy4fV6SSQSWK1W6uvr5UrJdNhZfJWK2g8O+2TCVBTls8ClwGxgiaqq\nL+z8GfseDmxUefRCsBqhZwT++fbYdSFrJwgOFotFzkWy2SwOhwO73U4wGCSbzTJ37lxSqRQwJsCw\nYMECIpEIdrudefPmUVFRIT0pTSYTLpdLSuGJhWYx4xivEDIZk4Nupgmw1Bbav7EvxKSiKOj1ep57\n7jl5raysbELS7O7uxmg0FpnLq/zk8zm+flSeTy+CxZdAQZ2YMA0Gg5w9Co3acDhMOp1Gr9fjcDjI\nZDKk02kikYhcLxFMdHHiFLwCIW/X399Pa2srzc3N9PT0SON2jUYju0ViTUwQfWCiC1ApvvYN7JMJ\nE1gHfBq4+cO+kd2BSJaC4LN6w9h1p9OJXq8nl8uRzWYxm83SkV6sjVitVlltejwenE4njY2NbN26\nFRhb/0in07LlI3a7RkZG5HwmGo2i0WhwOBykUinC4bBs9+xqsM00QEttof0euxWT0616mc3maeUq\ni3WD7HZ70e6O1WotOgudKNau8uOTx5JlOguX3K1MSZaKokhGq/ChHBoakmQkv99PNpslFouh1Wql\np6bf75erXk6nE0VReOWVV0gmkzgcDkwmk1TXEhwE4aIyuRgdH3PAhPgrxde+gX0yYaqq+iYUdy3Y\nGYoRAICiCiEwxhItFrRarfY955LTYXKyFAQfk8mEx+Mhl8uRyWTkwnN1dbVkqopgzefzzJo1i3w+\nT0NDA319fVRVVbFt2zaGh4dJJpNSm3ZkZITy8nLa2tqIRqNSHlA4kYh5yfig2xXMNEBLbaH9G7sb\nk9PJVYbD4WlXt4qthuXz+aJ7zeLENxnxePzd11H52Zfg60eNacOe+HN46GWVyaMR0VrNZrOMjo6S\ny+XQarWUl5fjcDgwGo0YjUZMJhNVVVU0NjYyMjJCNpvF7XZjNpux2+10d3eTSCSkotbo6CjNzc1E\no1G6urokwzYajUpv2kwmQ39/P9XV1dhstikC61CKr30F+2TC3F1MN6vMZrNFE+N0jxetlckQDiE7\nwwmLpiZLGBNu7+joIJPJYDKZ5Lyjurqajo4Onn/+efr6+qTgQSKRYMmSJWzevJnXXntNurS73W6p\nDiLmlB6Ph56eHrlMLXwvx/vmTUdHL81FStif4bHBJ+f/O1k+/IrC+GQpnH3EaTCbzUr5SYvFIi30\ngsGgVO+x2+3odDrMZjM2m43FixcTDoeprq7G7XYTDofR6/UYjUbeeecdamtr8Xg81NbWMjAwgFar\nlSQfh8PBpk2b6OrqkutfJYGCfRcfWsJUFOUJoJi8zPdUVb1/Bq9zJnDmHrux3YRGgYIKF9wJ63vg\nby+ZKQ96ZIVotVqJRqMkEgnmzp2L1+slFovh8/mwWq2Ul5czMDBAKBSit7eXuro60uk02WxWVqxa\nrZZAICATdzQapbKyUrqjiJUSYfkl6OmTk6JIlGK2CaW5SAn7W0yqKIrKcEzhiKtUWoLw93X/Ph0L\ndx4hrVddXY3P56Orq4tsNktZWRlut1t2gyorK0kmk+h0OqxWq7TIi8fj9Pb2kkqlKCsro6ysTAql\nH3DAATQ3N+N0OtHpdPT19VEoFDAajbjdbvnZILRlKysrJZmo1HrdN/GhJUxVVY/aQ6/zG+A3AIqi\n7Pz4t5dwYCPc8lX4r+tgUz/c86JVkgZMJhMVFRWUlZWxbds2RkdHGRwcZPny5eh0OkZGRohEIjQ3\nN+NwOOjq6qKvrw+NRkNlZSWJREJK9en1eqLRKJs2bcLtdlNfXy9txoSa0aZNmyR5yOFwSEJQIBDA\n4XAA/56V7MwouoT/POyNmNRqtWqxkch0q1uiS1Ls8cVatcJKa9Id8NMvFLAa4Cu3qGwbUtg29O+f\nCgWsZDKJ0WikoaGBJUuWSB1X4QAUjUbp7++nvr6elpYWNm/eTDQaZf78+XLtKxQKSXa+IO9ZrVa8\nXi92u12uhmk0GoxGI0NDYzei0WgIhUKUlZWRy+Xw+Xzkcjk58yxh38R+1ZKdDtNvvkSSAAAgAElE\nQVTNXWY6jymGAxvhse+OtWHPPUbhqkf90tpL2GU5nU7MZjNVVVV4PB4WLVok1z+Ea4PL5cJkMtHf\n3y+VQHw+H4VCYcKMRrDyhJWQyWQiGo3idrupqKh4T4cUmDifLK2AlLA3MZ0sZTKZLEriicViRa9n\ns9mir5PJZCaNT8ZmluesGGvD3vAYvNlnkEWnOCG63W75vEKhwIYNG6Qwwfz580mn05IfoCgK/f39\nbN++nUKhQG9v7wSGayQSIZVKMTAwIE+IAH19fdJ3Vpi1C0NojUYjd6Kn4wuUVrX2PeyTCVNRlBOA\nXwB+4CFFUV5RVfWYXXluseq0WAACkmm6uxifLP/8Lw03ra5Fp0sRi8WkoTOMVc3V1dXo9Xpqa2sp\nFAoMDQ3R399PVVWVtOsqFArSHqixsZH58+dLe66BgQFZGev1erZu3cqmTZvwer0YDAa581VVVSXN\npQuFgiQzjA/G0nykhJni/cTkB4exZHnuMWPJ8nM36tgaseNw6Kivr2dwcFCuoIjujyDrDA8PE4lE\nMJlMcgapqiqVlZWk02l6enqwWq2EQiFCoRDxeByv10tZWRk+n490Oo3L5SKTydDe3o7D4cDtdgPI\n+WgwGJwQe5FIRL5nsXjcGVO9lEw/HOyTCVNV1XuBez/s+9gZFtb9O1ne97KJSx+vorauntHRUQYG\nBnC5XNhsNsLhMGVlZTQ3NxMMBnn88ceJRqNotVrKysrkyRKgvr6eeDyO3+/H7XbT29uL1+ulv7+f\neDxOLBbD4XDg9XoBmDVrFmVlZbJS9ng8pFIpOVsZL1hQQgnvBx+FmPzJF/6dLL/wayNPb7LIeX8+\nn6e9vZ0tW7ZMIPlUV1fT1tbGunXr5BpWJpORZJ/Ozk45BkmlUni9XoaGhjCZTLS1tdHe3i7HKqOj\no/j9flwuF4VCga6uLjmrFKIEiUSCXC7H8PAwuVxOmknX1dVNSXw7Y6qX9jI/HOyTCfOjgK0h2DII\n2yN2fvZ8BxWVY0Qbu92O2WymvLwcg8FAMplk7ty5uN1uNm7cSG9vL7lcDo/HI0kH+Xye7u5u7HY7\nra2t2O12uazs9Xrxer2EQiF0Oh3hcJiamhqamprkTDIUCqHX6xkeHsbn8+H3++Xsc0+iVNWWsK9C\nq9WyZjPEUjlO/Y2Rx9fpsFh00ltSq9WSz+epra2V4gCiIyM8JmfNmkVnZycvvfQSQ0NDhMNhuru7\n8fv9kpkuxOHj8Tgmk4nBwUF6enp4++238fl8VFRUoNfr6evrw263y7GJEEcfX/zW1tZKDoIohsdj\nZ52g0l7mh4NSwpwh2iphQx8MxzWcensVOpObymovJpOJRCKB3W6XAulOpxObzYbZbObll1+WAuqB\nQIB4PE4+n+ett95idHSU/v5+rFYrBxxwAIAkCwgxgubmZoaHh2X7SIiyRyKRCcIEqVRKLoqnUqk9\nWn2WqtoSdgfTGTnvmR1olXk1KlvCNv7xjo75l2bZPpBCr1fweDzU1NRQUVEh54larXbC6pbf76dQ\nKEgWek9Pj9SABRgaGiIej1NeXi53mc1mMyMjI3R3d+PxeKQSkNCUzWaz0tnE4XDQ398vf6fBwUH0\nej06nQ6Hw4FGo6G/v3+3/k1LMfjB4z8iYb6fOeV4HNgIj1+k8Mw7ei76v3psLi8ajYby8nIpSJBI\nJDCbzbS0tBAIBFAUhbKyMl5//XWsViutra3U1NSwYcMG6U5iNpuJRqOk02m2bNnChg0bsFqt2Gw2\nqQoCYy1YQQoab+kjFEeEHq3Anq4+S1VtCTPFzvSaZ7IDLZ4zGTd8WcPXjoSv3Jbj2e1je8le79hc\nsLm5WapiVVZWEolEMBqNWCwWurq6UBSFWCxGIBCgublZ+nCKNZNcLkc8HkdRxpJvMBiUe5RNTU1S\nX9bj8RAKhdBoNGzbto36+noqKysluUcQhfr7+7FYLFRUVEh2eiKRIBAIlJLfRwT/EQlzT2DpbB0P\nfSeH3aRSUAyYLVYpHJDP59HpdGzbtk3OH202G1arlXQ6zaZNm6TbgWDKCtWeiooKVFXFbDYTDofp\n7e1Fr9fj8XioqqqS9HOtVitnn/l8nkKhIIkIIuDGV/J7IwBLVW0J+xJ+9iX4xtEFMjkFg8UhzaeT\nySTl5eVUV1fT1dXF0NAQbrdbWuYpiiLJck6nU6rvZDIZKSbQ1taGzWaTnZ+xROwlHA5js9kIhULU\n1tbicDhwuVy4XC42bNggnYNELMZiMSkSn0gkMBgM0ss2FotJTdpSXH00UEqYu4Cls3U89D957CZ4\n5E0XV69qovJd1quQ7LJarbS0tFBRUSHl7YaHh4lGo5jNZsrKymhvbyccDhMKhdi6dSujo6M0Njai\n1+txuVyMjIyg0+lYsGABTU1NZDIZubdpNpupra0lmUzKWaJYIRHt2RJK+E/BjSu1fP2oPJmcwg//\n0c6WTDler0ptbS0vvfQSGo2GcDhMfX29NCPIZrPyhGiz2WhoaCAWi0npPkGUi0ajDA0NYTQaqaqq\nkiYJyWQSl8tFIpFgdHQUo9FIS0sL5eXlbN68We5eGwwGcrncBDsvIX+ZyWQYHh6mvLwck8kkT8DF\nLPdK2PdQSpjvAZfdyF++kcFuUvnrC3puWNvG3Hnt1NXVAWPrHsFgkGAwSDKZlL58ZWVlZDIZ2arJ\nZrOsXbuW8vJyIpEIQ0NDOBwO6VqgqioDAwPEYjHi8bgULxBWRW63m3g8LmeVgnkn9stEa7aEEvZH\n6PV6tFotmUyGU5cb+fpRCTJ5hWueXcSmZC0Wy5h4h/CPFdJ2uVxugkhCMBjE6XQSDAZlq3R4eFju\nNouVr3w+j8fjoaWlBa/XSzweZ2BgAL1eT3NzMzabTTqY6HQ6aa0n/GdhTGzB7/fL38FisUinEkAK\nsU8epZSw76KUMKeBTqfD7XbjdDr57gMZPtY6xA8eCrBocS02m42DDjqI3t5erFarXA/J5XIMDg4C\nyDkjjAmv9/T0SCHqaDSK0Whk1qxZOJ1Otm3bBowFc3d3NwMDA3R3d6MoCrNmzcLr9UrPPbPZjNvt\nnkDsicfjwNi+V4nJWsK+hl01XS8GjUaD2+3G7XaTy+UoFAq8MGDn3nVDvNBbzg7mYDYXqKqqYnBw\nkGw2i8FgwOv1oqoqjY2NcsWrvLyc2tpa+TpiDcRsNkuz9XQ6LVdBRLIcGhoiEonI5KfRaGTSE4lO\nSOgNDQ0xPDwsbcJEy3fLli2YzWaCwaDUdy4JiHz0UEqY4zDeQHZ5m4GD2/U8usFNwd/KPd1JDl3q\nkKe/Z599Fp1OR29vL2azGa/XK+1/xjPpstks+XxeusKLdRO/309HR4d0GEkmk/h8PgKBAKqqyoAX\nFajwxAwEArhcLgCpFhKNRqXfZYnJWsJHCeNjbjwEKSadTuNwONBqNZxzeJx/9TWQUMr4/foGVFXF\n7R7rrgQCARoaGtiyZYtkvgorrqamJmncnM/nSaVSFAoFamtryWQyZLNZenp6yGazshAWnrWCmBOL\nxbDb7TidTgYHB3nnnXeorKyUyVh4aTY2NspYFfEpyHlWqxWYaNtVitGPFkoJcxwURcFgMHBAQ4F7\nz01gNyfgyVn0YZLuIEI9p62tjU2bNmGxWLBarRN2roRsXTgcJhAIEI1GURQFk8lELpdDp9MRCAQI\nhULSR8/pdFJTU8PIyIh0Zh/f0lm3bh3RaBS73S5nlkIdKJVKvafMVgkl7IvQarXodDrS6fSExCl2\niMdYqwoXHzPIqQeM8NlYmiteakerM6LX66WqlsFgwO12Swst4Qm7bds2mpubaW5uxmg08tZbb8lW\n6o4dOxgaGiKdTpPL5VBVVYoIbN68mWw2y/bt26Xoenl5OR6Ph+HhYemdKeJM8BUA2QkSyj65XE76\nYxZT3iqGUqdo38R/fMIUVV8ul0NRFD53RA03fXYTVgM8taWCnlwTqXQcn8/HkiVLyGazcpUkn8/j\n8/mw2Wx0d3cTCAQku65QKJBMJkkmk9jtdjKZjKw2hamu1Woln89TXV1NJpPBYrHg8XiIxWITVkaE\nZJ4gKIwnCAiz6fHBVapaS9hXUOwEKYpHQXhJpVK4XC5pe2U0GikUCuTzeVwuJ9efAsc1j5DJK9y3\n7VBsdpeMMbHWIWb8DodDCqEHAgFisZhc2RIs2JqaGjmrFA4iVquVuro6jEajlKEUNnwDAwPU1tbK\nPUzBqjWZTNKKy+VyEY1Gpa2XSKZiF3pX55QlJ6F9G/9xCVOYwIbDYWDsD9TpdJLL5TioiXeTZZ7/\nt6mMy/9eh87QI2nqotLM5XJEIhFZmYpqsqamBoPBIINZkAiy2Sz19fVEIhHWr1+PxWLB6/VO8awU\nSU9UoiJwBgcHSafT0nLIYrFMqUBLQVXCvojxyVLEjqqq2O12jEajbE9mMhm8Xq9MOGP7mzmu+UyS\n45q3ky1ouOHlZSTdBzK3eRZbt26VO5W1tbX09vbKBKPT6STbPJlM8s4777B69WqsVivBYBC73S7J\neAsXLmRkZEQaOguBgkwmg8/nY/PmzUQiERRFYdu2bVJwwOFw0NvbSzwel+OWcDhMIpGgvr6e8vJy\nOR4ZX/iGQiEpIr8z/diSk9C+if0yYRqNxgkOH6JNCv9m2wklDo/HI+eExy8OYzWEeK6nhqezX2L5\n4Vri8TiRSASz2cyGDRsAaGtrw263MzAwgN/vx2azUV9fj06nkx8A4jTodDrlH35/f79k0qZSKWkN\nJNq5gggxvm0j3tvr9cp9LaHwM962q9TCKWFfh8ViIRqNotPpJGmmUCgQiUSkfJ3RaMRsNuNyudCp\ncQ5peJucquWhyEpCBi/zGhtxOp0MDQ2RzWbJZDIMDQ3JBCXiWyTG2bNny9aqMId+8803sVqtaLVa\n2tvbSaVSvP322xQKBbq7u6mvr6esrIxUKkVdXR12u12KGAiugDjBjk+GqVSKRCIxgck+/neMxWJy\nJDNdIiwRgfZt7HcJ02w2YzQa5ZdwJBG7URqNhnQ6LeeIJpMJCjnQaHi0ZzHJl2sYNC5j2WGH0dfX\nJ0k9YvVDBEt/fz+RSASr1Uoul5swQ8zlcnR1dWE0GqU8nmgN+Xw+6uvr5SlRtHRFm3V8ICUSCQYH\nB6Ut0c72LUtknxL2RQg1K71ej8/no7GxkR07dpBIJDAax+aQon2pKAoVFRVYLGasFhPRmJkrV1dy\n0tGzCcz/FEvKe6WcXGVlpTRcF3KQVVVVbN++nZaWFkwmEw6Hg6GhIandLOTvRIE63nuzoaGBkZER\nDAaDnH8WCgUcDgcVFRXkcjk2b94shQvEKVMgl8tRW1sLIIXWx/MMNBrNhG7SdHFc6hbt29ivShhF\nUbBardK2R7RmjEYjGo1GihwLWnh1dTXzq1P839e6OHC2naqqaqLuj7P88CNpaGiQfpUNDQ1YLBYW\nLVpEU1MTtbW1VFZW0tzcTGtrK263m+7ubnbs2CGrzFgshqIoRKNRRkdH6e3tlcw8EWhCVSSVStHV\n1SVXUgQsFosk/YyMjMiWE4wlxWAwKINLtHJ3t4VTW1vL3Llz6ezsZNGiRRN+9otf/ILW1lbmzJnD\nBRdcMEGWT+D6669nzpw5tLe38/nPf14yBb/4xS/S0dHBxRdfLB975ZVXct999834Hj//+c/T0dHB\n9ddfv1u/YwkfPISlndVqlXGoKAqhUIjR0VEsFgvV1dUEAgEymQzpdIqvH7iR7y59jcaGWZhcs3il\nz4fFYmH27NlUV1fj9/vR6/VScEDIyzU1NdHY2Eg6nWZgYICenh42btxIJBKRhgaBQAC73S6L5dHR\nUZLJpBzRCEUgj8cjk5x4j2g0KoVDxN+/OD0ODAwAYyIiYuVLQCTB8R2iyRj/mtu3b+fwww+nra2N\nOXPm8POf/1w+7pJLLqGjo4POzk6OPvpoduzYMeW1tm7dyoIFC+js7GTOnDn8+te/BiCdTnPsscfS\n3t7OL3/5S/n4M888k5deemlG/7+m02mOOuooOjs7+fOf/zyj536UsV+dMBVFkVVrMpmUS8TZbFZq\nQmq1Wsxms0yWP1y2EZuxwMkLhnmgV5H7l0LLtaGhgb6+Pjl3aW5uxmQysXnzZimwbjabZZL0eDwk\nEgnJqEun09L7UuxShkIhfD4fVqtVtm6EMsl41wJBDgImtJjFz8ZXonuiMl21apVslY2/dv/99/Pq\nq69KQsTk02xPTw833HADb7zxBmazmZNOOom77rqLBQsWYDabee2111ixYoWc8Tz//PN8//vfn9G9\n9fX1sXbtWjZu3Pi+fsddRT6fR6vVfiDvtT9DzPS1Wq0ky5nNZpLJJE6nU5704vE4druNby3fzieb\ntpAtaFhmsLNxxEMmk6G3t5e2tjaSyaSMi0AgQFVVlWzNCm7A9u3bpbi6aPcKBno2myWbzaIoCi6X\nC4vFIkUKBBNWp9PJ5CVIO6I4FPqw4u8fkOLqTqdztwvW8TGl0+n46U9/yoIFC4hGoyxcuJAVK1bQ\n1tbG+eefzxVXXAHADTfcwOWXXy4TokAwGGT16tUYjUZisRjt7e0cf/zxvPDCCxx66KFcfPHFHHLI\nIZx99tm8+uqr5PN5FixYMKP7ffnllwF45ZVXduv3nQlUVUVV1X2iRf3h38EehEajkSdMr9eL3++X\nMwixojFv3jzmzJnDJw7wcPnha7AZC6zqCvBw/zGUlZUxZ84cPB4P4XAYRVEYHBzE4/FQXV1NfX09\nDoeDTCYjlT/eeOMNyZjzeDwycMV9WK1WqquraWxspKamhsHBQQYHB9FoNPKE6HA4qK+vx263y99F\neOUZDAaCwSD19fUTEqL4eTEX+j2JX/3qV3z3u9+V6iVlZWVFT7OCOi9a08LmSFTk2WwWrVbLD37w\nAy677LJp3y+VSrFy5Urmzp3L/PnzWbVqFQBHH300PT09dHZ28swzz0x4zt133017ezvz5s1j2bJl\nO32d3//+95xzzjnyuZ/85Cd58skngbHk/53vfId58+axevVq1q5dy8EHH8y8efNYsmSJ3Jk9//zz\nWbx4MR0dHdx8880A9Pb2smzZMjo7O2lvb59yj/+p0Gq1eDweVFVFp9NJIfSKigq83jGXnzG1nSHO\nP2IHn2odS5b3hU4h71rIvHnzWLp0KYsWLSKdTtPV1cXIyIjsEB166KF0dnaiqirxeJxMJkNDQwMt\nLS20tLRwyCGHcMghh0xwDhKjGXFf8XicdDqNzWZjYGCA0dFRuVcpTpgajUYauI8n5IhZZjAYlMl0\ndzA+poLBoExgYg7b09MDMKENLA4Bk2EwGGS8CiYyjJ32E4kE2WxWtqIvueQSmYCLYXh4mE996lN0\ndHRw4IEH8tprrzEwMMApp5zC2rVr6ezsZNOmTROec8MNN9DW1kZHRwcnn3zytK8DcOmll/KTn/xE\nPld4lm7ZsoWWlhZOPfVU2tvb2b59O48++igLFixg3rx5HHnkkfLf4PTTT2fJkiXMnz///2/v3KOj\nrs69/3mSyZAEcoPJPSEJ14RLhGAAF6+cdVADpWohWFePKOUg1F5eqC/VvvalXe3hlNou8CzWQevl\nqEugtsUDKhyqS7TWg7SHI5ZGrKcICJggIRBykUwSMsns94+ZvfllSMIAwoRhf9bKSua2fzvJPPPs\n/ezn+T5s3boVgI8++ojJkyczYcIESktLTf7J5RJVO0zd3qqrq8ucYWoRAC1f5fF4GJpUz/KJO4iP\n9VHVVMLrTbPIzs0jLy+PwsJCcyivSzkyMzMpKSkxK00dWm1vbzchkcLCQmNg9fX11NbW8umnn5Kf\nn2/OQXQIKjMzk6ysLCAgrefxeMjKyjJNbT///HPT3WDEiBHk5OScl2ZeX19vrq3HuhxEhIqKCkSE\nBx54gG984xsAHDhwgHfffZcVK1YQHx/PmjVrKC8v7+a8c3Nzeeihhxg6dCgJCQlUVFRQUVEBQHp6\nOmVlZdx3330cOnQIv9/f52r2iSeeQET48MMP2b9/PxUVFRw4cIBt27Zx++2397iiXblyJW+88Qa5\nubk0NTX1OU5feL1epkyZwmOPPUZHRwfFxcVs2rSJ8vJyk3z13HPPkZKSwp49ezh79izTpk2joqKC\nl19+mZkzZ7JixQq6urpobW296P9BNDJgwAA8Ho9pIBAbG2siQR6PB6UUgwcP5u5Rf+bv0j+h0x/L\nb2oq8WVMJz2YrTpq1CgjlJ6UlGQUddra2qiursbtdnP69GnOnDnD4MGDAcxCUgsJdHR0kJGRYWqi\n4dxZf2dnJwMHDuTUqVPU1gbOSbOysrrtMJ2JeKHRHGfSXTjnlD3RW4To6NGj/OUvfzFt/wBWrFjB\nhg0bSElJMQvBUGpqavjyl7/MoUOHWL16NTk5OWRkZLBx40amTp3Kww8/zLZt2ygrKyMnJ6fXef34\nxz9m4sSJvPrqq7z99tssWLCAqqoqnn32WdasWcP27dvPe83Pf/5zo62r7bG3cfri4MGDrF+/nqlT\np3Lq1CmWLFnCzp07KSoqoqGhAYBVq1YxY8YMnn/+eZqampg8eTK33norTz31FN/97neZP38+HR0d\nPXbMuRSiymFqZRwIJP/o1WN7e7uRwHK5XDR3DuFEaxr+xEI+y/8BI1x1eDwekpKS2L9/P6mpqWY1\npsUM9MpOO7OkpCTKyspIT083ISXtsD0eD2fOnKGjo6NbcXNMTAwpKSlkZmbicrk4ceJEN6enk4Pq\n6upMNqF+bWtrq+mb55TmCg2hXiq7du0yiRS33XYbxcXFTJ8+3XSH3717N3v27OHuu+82rZE0jY2N\nbN26lSNHjpCamspXv/pVfvWrX3Hvvfeydu1a87w77riDp59+mlWrVvHBBx9w2223sWTJkvPmsXTp\nUgCKi4spKCjgwIED5zXXdTJt2jQWLlzI3XffTWVlZZ/j9EVsbCzz5s0D4OOPPyY7O5vy8nLg3Mp+\nx44d7Nu3j82bNwPQ3NzMwYMHKS8vZ9GiRfh8PubMmcOECRMu/Ee/DtAqVnrhqpPiILBI8/l8DB8+\nnLi8dHwdH/IH3/20po0hIy2NtrY2Dh8+jMfjYciQIRw6dMgkyGVlZdHS0mJEQwDT+ae9vZ3q6mry\n8vJMaZbzXFFHQ1wuF16v1+w+/X6/yRlwuVy43e5uttvXkYcOqTrP9i/3iKSlpYV58+axdu3abu//\nVatWsWrVKh599FEef/zxHiM2+fn57Nu3j+PHjzNnzhzuuusuMjMz+fWvfw0EhOhnzpzJ1q1bWb58\nOdXV1SxYsIA777yz2zi7du1iy5YtAMyYMcPIBPZFaWkp8+fPZ86cOcyZM+eSxykoKGDq1KkA7N69\nm+nTpxsNb70w2rFjB9u2bTO7VP2/v+mmm1i1ahXHjh2jsrKSkSNH9nmtcImqkCwENFxLSkooKipi\n7NixeDweSkpKGDt2LNNLU3DRwaDBebzW/iB1w1eTkZXDgAEDOHXqFB988AEHDx6krq6Ozs5Oc7ah\nFXq0MbS1tXHmzBk6OzsZOXIkeXl5pnVQYmIiLpeLoqIihgwZYsI0+vW6DAUwHdq1WIHf7zeJPhkZ\nGeTl5QGY+zMzM7tdQ5+3fBHk5uYCgZDr3Llzee+99wDIy8ujsrISEWHy5Mmm3ZiTt956i6KiIpOM\nUVlZyZ/+9Kduz9m6dSuTJk2ipaWFTz75hJdeeonNmzd/ITuxp556ip/+9KfU1NQwadIkTp8+3etz\ndVhQo5OTIFB+dKFzS6UU69ato6qqiqqqKo4cOUJFRQXTp09n586d5ObmsnDhQjZs2HDZv1c00NbW\nRkNDA+np6WRnZ5OVlcWoUaMYMmQIaWmpjPY0BVStCm7n/dzNDLt5GTfeeCNlZWUUFRWRn59vcgGa\nmpo4cuSIKT8pLi42JWODBw9GRBg1ahQpKSnk5uYydOjQbnXN+pxxzJgxZGdnm12gdoo6A7e6uprq\n6mr8fj8nT54M69gjPj7ehHm/iPpJn8/HvHnzmD9/vlkEhjJ//nzjhHojJyenxyOCX/7ylyxYsIDd\nu3eTkpLCpk2beOyxxy5rzprf/e53fOc732Hv3r2Ul5f3+ffryx61qExfKKXYsmWLscfq6mpKSkq4\n55572LZtGwkJCcyePZu333778n6pIFHlMLXqTWZmJrGxsdTV1ZkM1dwB1XxrxG/4Xvm7DC/MYdTY\nG0lOGUxXV5fZBaakpFBYWMiMGTPIzc0lJiaG06dPc/ToUU6cOMFnn31GS0sLhYWFxuCc13ZmwGm9\nSv0GqK+v58SJE+a2ztbNyMigoaGBpqYmU8OlpcIaGho4deqUuV+nsn/Rh99er7ebrNeOHTsYN24c\nAHPmzDFhnwMHDpiCbidDhw5l9+7dtLa2opTi97//PSUlJeZxn8/H2rVr+f73v09bW5vZnWoxeic3\n33wzL774orledXU1o0eP7nP+n3zyCVOmTGHlypWkp6dTU1PT6ziFhYVUVVWZbES9MAhl9OjR1NbW\nsmfPHgCzQJo5cyZPPvkkPp/PjO31evn000/JzMxkyZIlLF68+KKzDqMVESE/P5/8/HyTFzBy5Egm\nTpzAohs+ZPnYzfx9wafU1tbS6gv0iNSC6UlJSYwbN47k5GQKCwsZPny4UfKBwIetPjvU76Xa2loT\nydE9J3W5V2pqKllZWaSmphpb0vJ1uoOQDs96PB5OnTrFsWPHzlsghqIda3Nzswnh6rKU0GzycFBK\ncf/991NSUsLy5cu7PeY8i9u6dSvFxcXd5tHS0kJ1dbVp/dfY2MiuXbu62VBjYyPbt29nwYIF5rNF\n9xENxWlH77zzDh6Pp89ojzPL9xe/+IVJZOxtHN2ODWDv3r0cOXKkx3GnTp3Kzp07zeM6JDtz5kzW\nrVtnzmR1MtLhw4cZNmwYy5Yt4ytf+Yo5M71coiokGxcXx8CBA2lpacHn8zFo0CDOnj3LpIIOHpr0\nFgkuHx0xyTR97qWxsZGEhARqamrIzc0lPz8fpRQDBw4kMTHRtN1qbGw049q5oSQAABAQSURBVDv7\nTzqVeXqqgXQWIPv9fuLj48nKysLj8Ziwa2Zmptl9OsOvoUXRFyOpdSkFz3V1dcydOxcIhKvuuece\nZs2aBcCiRYtYtGgR48aNw+12s379ekSE48ePs3jxYl577TWmTJnCXXfdRVlZGS6Xi4kTJ5ozUAic\nJ379618nMTGR0tJSWltbGT9+PLNnzzZC8ppvf/vbfOtb32L8+PG4XC5eeOEFE2bvjYcffpiDBw+i\nlOKWW27hhhtuoLi4uMdxpk2bRlFREWPGjKGkpKTX81S3282mTZtYunQpbW1tJCQk8NZbb7F48WKO\nHj1KWVkZSinS09N59dVXeeedd1i9ejVxcXEMGjTI7jCDDBo0iJycHJNbkJqaSkZ6OqNbn6aoYxv+\nmDhSM0dQOLCQ5uZmmpqazFm91+s1dgiBhZkuFdORGv1YQUGBEVh3CgdoZR3tyJw46yR16FbXTkPg\n8yQtLc1EgHqzrdbWVpqbm2lsbCQzM7Pb/aGfC+HY6R//+Ec2btxoyrwAfvaznzF79mweeeQRPv74\nY2JiYigoKDAZsu+//z7r1q3j0Ucfpaqqih/+8IdGlvChhx5i/PjxZvyVK1eyYsUKYmJimDlzJk88\n8QTjx4/nm9/85nlz+clPfsKiRYsoLS0lMTGR9evX9/n/7urq4t5776W5uRmlFMuWLSM1NbXXcebN\nm8eGDRsYO3YsU6ZMYdSoUT2Om56ezjPPPENlZSV+v5+MjAzefPNNfvSjH/Hggw9SWlqK3++nqKiI\n7du389JLL7Fx40bi4uLIysrqVtZ2OUhPnQKuVTwej1q8eHGwi0EaSUlJdNXtYsmILSS4fBxz3cxr\njV/jyNEaSkpKKCwspK6ujvj4eDIyMoiLiwNg2LBhpl3XiRMnAIzyB2DOUZqams5LBOjJCHRndR0a\ncqr06HNLPa5emYYalfM+4LzHQ69h6d+IyJ+VUjde+JnXNsOHD1dLly4lKSmJtrY2vN4Wpg98hZsG\nv4cfFzVFa2lNnUFCQgL19fV0dXWRnBzoCuQM18fExJiOQB0dHeTk5HQLfTr1V50hWKdtaWk6Zza7\n0760hrOOtqSkpBid5qamJlwulxElcNqf3+/nxIkTnDlzhuzsbLMD68mOr6SdWrWvSydce4yqHaYW\nKdD6rjeML6bcs5IBXT4ak2dyNOURBnUeJz29nby8PMaMGUNycjIiQldXl6m9c4ZVvV6v6TTgDEUk\nJibS0tJCc3MzXq/XhHacODPn9GuA8zLudEhIO93QlWlPZyl97Wgtlv6CblCQl5dHZ2cnmb7djG98\njy5c7PQvo7WhkCTfKVOHrEXUtaqW3h3qEi2gm2yktrGOjg4TpdGZ7KGRnJMnT3L8+HG8Xq+pUdQ5\nBvpLS1U6nY62dV0yBefsT0eYMjIyjK3qhXRP7buupJ1alaArT1Q5TAg4Kd35PCUlhWFlT5J8ajMn\nc1eQdLaTtLQ2hg8fblaCHo/HlHboziJOJ+SsjdTj61Wcbvelk4K0aLI2tN7k6kLf2KHhW91CLD4+\n3pyB9KRB2dMZqsXS39B1dcnJyVAyhez0RTTGjUOYSGIwq1VrImdlZVFdXW3qN91utynV0Du5tLQ0\nE/HRtqG7CLW0tFBfX2/KvDo7O6mrqzO60V6v15QfaQeo7UZ3IfF4PLS3txvb1VnpulxEE3ocExMT\nQ21tLadPn2bIkCHk5ub2GgbuC7tT7L9ElcOMj49n0KBBFA6qxSN/5cCpdF5510tGxlyKUtpMSYff\n7zdd0U+ePGnOCrWQgH6TamUSZ+gndNUKgU4LOozjNIhwV5N6xRwaVmpvbzerVWcvPbB6sZZrg9jY\nWNzuOGbn7aEp9UtkFRXRLP+PuNhYcn0+XC4XNTU1pKWlkZOTw8mTJ4mJiWHAgAFmd9rQ0GAWkSkp\nKXR0dJhEnJiYQGut+Ph4Wltbqa2t5fPPPzelJ263m8bGxm7jdnZ2dmuJp9F9ZbUSF5wTTofu55Ca\n0MWuTjhylpNpnGP3ld1udaH7L/3SYYrIauAOoAP4BPhHpVTThV7X1dVFdtxRvpb5Im5p599P5vFh\nXaFxNLrvZFNTk0kG0G/+5ubm85IA+mqd5ay1io+PN6UfF9r19bZ67K2tjw4F6ZCRxRIJLtUmRWDh\n+CoyGrfg73ifI+omMrOGcvjwYZKTk83O0OVymR2jFuLQC9uAxuxZEhMTSUhIwOv1nhcy1fYxYMAA\nUlNTTbKQTgbSO1FdW+m0TW2TbrfbqFXpchRdDqY/K2JiYs5zaHocHQ1KS0sjKyvrPHsNV2zEHq/0\nX/rrJ/CbwDilVClwAPhBOC8qzfHytcwXcEs7n8VNpy62jPz8fEaNGmVCNU5D0bqUEHCYZ86cMZqw\nzv56cC4pQEtX6fCPFivwer3AueSDntBnkbqExImzXkzvNiGQbKSzci2WCHJJNvlPd35ORuNvUTFu\njg75Hg1NXg4dOkRTUxM+n4/8/Hyys7PxeDzdbEC/7wcPHozP56Ozs5Pq6mojNKDLq3TZCARsKD4+\nntTUVOrr601egM49cLvdPcrXaQeod7JO3WZt27q8C87VXOrcBCd9Jf/puusLiY30NYYlsvTLHaZS\naofj5m7grnBe99sHmnCLojF5Ju+dvZ84dwO5ubkkJyebjgT6vNJ5wD9kyJBuqehOR6npKRHH+Xzd\n6DkhIcE8p6cx9FmkPp90ro5Dw7J6HBuWsUSaS7XJ+TfWo8TNfs8qPjtbwqC4LgoKCoBAqUBnZycD\nBgygoaGhm7C5dhotLS1G5lI3K9D2qxeRTlvKyMgwNZFafasvB6dzD3R0yO/3m+x1OFfipX+G7jXW\nTtt0JvP1hBYbsVy79EuHGcIiIKz+MUnximOumzmR+RMGt55lQMJAo9ySkpISKI5ubcXj8ZCRkWF2\ngrqjgkYn+/SUYNOTVJbzbCXc5rBOBxzqKG23dUs/J2ybPNsJh7L/GbK/RHxjI4mJiZw+fdrsKNvb\n201yjvNMMfS73+830pChjkpHhQCzOw21Na/Xi9frNS22NFpQJCcnx6jO6PH1fEIL9XsLmdrEu+gn\nYnWYIvIW0NNya4VSamvwOSuAG4FK1ctEReQbgK6SLwWOAO2cCzfHAH6gE3AHf/YBsUBX8PFQ7SYX\nIMHHLyTTEeN4jv7ZAzT08Vr9POd3PR/CuGa4eIC+ZUquDnYe5zNaKZV04addPa6gTf4NUATe4+7g\n/Z0E7FCCj/k5344Iua1t2vm8ULvp7bUZBP73PT3m4txngMsxZrifARdDf3kP2nl0Jyx77LfCBSKy\nEHgAuEUpFZbgqIi83x+Kwe087DwuRH+aS7hYm7TzuN7n0S9DsiIyC/g+8HfhGqbFYrlyWJu0WPpv\nluzjQBLwpohUichTF3qBxWK5olibtFz39MsdplJqxCW+9JkvdCKXjp1Hd+w8zqc/zeWCWJv8wrDz\n6M41NY9+e4ZpsVgsFkt/or+GZC0Wi8Vi6VdYh2mxWCwWSxhEncMUkdUisl9E9onIKyKSeuFXXZF5\nfFVEPhIRv4hc9bRpEZklIh+LyCEReeRqXz84h+dF5KSI/DUS13fMI19E/iAi/xP8n3w3QvOIF5H3\nROSD4Dz+KRLzuJpYezTXj7g9BudhbbL7PC7KJqPOYXKJmpdXgL8ClcDOq31hEYkFngC+BIwB/kFE\nxlzteQAvALMicN1QOoHvKaXGAFOB70To73EWmKGUugGYAMwSkakRmMfVxNpj/7FHsDYZykXZZNQ5\nTKXUDqWUVu3YDeRFaB5/U0p9HIlrA5OBQ0qpw0qpDuC3wFeu9iSUUjsJKB5FFKVUrVJqb/DnMwSU\nZ3IjMA+llNJCxXHBr6jOurP2CPQTewRrkz3M46JsMuocZgiLgNcjPYkIkAvUOG4fIwJvxv6IiBQC\nE4H/jtD1Y0WkCjgJvKmUisg8IoS1xwDWHh1cSzbZL+swL8RFaF52Ai9Gch6W/oOIDAK2AA8qpT6P\nxByUUl3AhOBZ3isiMk4pFdHzpMvF2qPlUrnWbPKadJhKqVv7ejyoeXk7Ac3LKxbyutA8IshnQL7j\ndl7wvusWEYkjYJgvKqVejvR8lFJNIvIHAudJ17TDtPZ4Qaw99sC1aJNRF5J1aF7eeR1rXu4BRopI\nkYi4ga8B2yI8p4ghIgI8B/xNKfUvEZxHus4SFZEE4DZgf6TmczWw9ghYezyPa9Umo85h0k80L0Vk\nrogcA24Cficib1ytaweTLP438AaBw/SXlFIfXa3ra0TkN8B/AaNF5JiI3H+15xBkGnAfMCP4nqgS\nkdkRmEc28AcR2UfgQ/RNpdT2CMzjamLtsZ/YI1ib7IGLskkrjWexWCwWSxhE4w7TYrFYLJYvHOsw\nLRaLxWIJA+swLRaLxWIJA+swLRaLxWIJA+swLRaLxWIJA+swLRaLxWIJg2tS6ccSeURkDvBlIBl4\nTim1I8JTsliua6xNXnlsHWYUICItSqlBEbp2GrBGKRWpAmiLpd9hbTI6sSFZy+XyQwK9/iwWS//A\n2uQVwjrMKEJElovIX4NfDzru/1Gw2/suEfmNiDx0EWMOFJHPRORnwdvlQRmrBBH5BfC67mtnsVi6\nY20yurBnmFGCiEwC/hGYAgjw3yLynwT+x/OAGwg0R90L/DnccZVSXhEpBd4XkZ8CzxPQgFwC3Aqk\niMgIpVRENEItlv6KtcnowzrM6OF/Aa8opbwAIvIycDOBKMJWpVQ70C4i/3GxAyulTotIK4HuAhuV\nUlVAFfCvX9jsLZbow9pklGFDstcxIjJMRJ4Tkc3B2wNFZL2I/JuIzA95+j4CzXnXXPWJWizXCdYm\n+zfWYUYP7wJzRCRRRAYCc4P3/RG4Q0Tig93Nb9cvUEodDsmkqwQ2K6WWAHfqO0UkHfh7YItSyu+8\nqIjEhNx2i8i/isjjIvKEiCzqabIislBEbu/pMYslSrA2GWXYkGyUoJTaKyIvAO8F73pWKfUXABHZ\nRmA1Wgd8CDT3Mkxe8HGALsf9zwFvEzhzITjmQgLnJe8Dax3PXUIg6eD14PNcwe9jgflAJvDspfyO\nFsu1hLXJ6MPuMKMAXe+llPoXpdS44JfTYNYopUYBM4ECek8wOEbAQCH43hCRB4A24P8SaL7r5PWQ\n6wCMBfaISIyIrCXQQBigA4gn8AFx38X+jhbLtYS1yejEOszrg2dEpIpANt4WnXIuIkNE5Clgooj8\nAHgZmCciTwL/ISIjgf8DfFMpVQPUiohTPaSnVfFHQLlSyq+UehDwBO9fRmDV+zSQeAV+R4vlWsLa\n5DWIVfqxXBLB8E+9Umq7iGQCtyulnhMRN4EkhFigE6hVSv1cRCqBWwisZocB7+jXR+QXsFiiDGuT\nVx7rMC2XjYjMAjqUUm9Hei4Wi8Xa5JXCOkyLxWKxWMLAnmFaLBaLxRIG1mFaLBaLxRIG1mFaLBaL\nxRIG1mFaLBaLxRIG1mFaLBaLxRIG1mFaLBaLxRIG1mFaLBaLxRIG1mFaLBaLxRIG1mFaLBaLxRIG\n/x/sq6IBrAWbjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57aa827550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3, 2, figsize=(6.5, 10))\n",
    "mag_lims = [16, 18, 20, 22, 24, 26, 28]\n",
    "\n",
    "for im in range(len(mag_lims)-1):\n",
    "    ax = Ax.flatten()[im]\n",
    "    ax.axes.set_aspect('equal')\n",
    "    mag = np.logical_and(photometry['r_any_mag'] >= mag_lims[im], photometry['r_any_mag'] < mag_lims[im+1])\n",
    "\n",
    "    fraction = (np.sum(mag*good) / np.sum(good).astype('float'))\n",
    "    \n",
    "    corner.hist2d(np.log10(best[good*mag]), np.log10(photoz['chi_r_stellar'])[good*mag], ax=ax, bins=50, \n",
    "              plot_datapoints=True, plot_density=True)\n",
    "    ax.plot([-3,3],[-3,3], zorder=10000, color='orange', lw=2, ls='--')\n",
    "\n",
    "    ax.set_xlim([-2, 3])\n",
    "    ax.set_ylim([-2, 3])\n",
    "    \n",
    "    ax.set_title('{0:d} < {1} < {2:d}'.format(mag_lims[im], '$r$',mag_lims[im+1]), size=10)\n",
    "    ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\n",
    "    ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n",
    "    ax.text(2.8, -1.8, '{0:.1f}% of sources'.format(fraction*100),\n",
    "            horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_chi2_galaxy_star_comparison.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Photo-z vs Spec-z Visual Comparison\n",
    "  \n",
    "As plots of photo-z vs spec-z are commonly presented in order to allow the visual inspection of the relative precision and biases of photo-z estimates, we provide a version here for reference. However, instead of choosing a single value to represent the photometric redshift (e.g. median or peak of the $P(z)$) we stack the full $P(z)$ of all the sources within each spectroscopic redshift bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "photoz_pdf_agn = np.zeros((zs_agn.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_agn)[0]):\n",
    "    photoz_pdf_agn[i] = photoz_pdf[ia]\n",
    "    \n",
    "\n",
    "photoz_pdf_gal = np.zeros((zs_gal.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_gal)[0]):\n",
    "    photoz_pdf_gal[i] = photoz_pdf[ia]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "pz2d_gal = pz2d_stack(photoz_pdf_gal, z_spec[zs_gal], photoz_zgrid, 5)\n",
    "pz2d_agn = pz2d_stack(photoz_pdf_agn, z_spec[zs_agn], photoz_zgrid, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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cFffNysjFbkGZUAgxRQjxoRDigBBivxDijxzSCCHE/yuEOCaE2COEuD7rCovP\n53fpokju85Gj7Xz08RmuWdjI8mWTEhOk807YpXm7at2FsKWUvLHtJMdOdFJZ4WfNU3OoG1WWXp3p\nOMTx4MEDoDu/evHFPbz+2qG81XHuXBcbX9bDzS69YRJ33Dktb3UlQygU4eWX9/HutmOcPHklqzIK\nrbpXgX8lpfxWCDEK+EYI8Z6U0rqv9kFgtvFZDvyN8Z05PIk+/8iHuj7LNgwEVd548ygTJ1Sz8v7p\n+ha2TFTwyQg+ZVbJtvdP6eFmyxSee3I2jWNT7K1Ntp3OKs1HzyW5Fk3G1Pilak1uXb4plesrleso\nIFRV49VX9hMMqnkj38uXe9mwPhZu9v77Zw1JJLq+vjAvbdjLhQvdrHx4DjNnZmcAWFCil1JeAC4Y\nv7uFEAeBycQ70HgM+Eephxr60ghxOdHImzlKaVAoJhSL1GlpR0W5nycenUNDQyVlZRn6th5MZCtN\nY8enZ/nm+1Y93Ozjs5g0oTpp+oyOe/DgATCcX711hHPnulm1agHjxiXpZ1miWMLNdnYOsH7dHjo7\ng6x6eiFz56bwAZIEQ2aMJ4SYBlwH7LSdmgy0WP6fNY7FEX1aQTDslsse4Q8e2ZJRrknMUp6mSS5c\n7GHypFHMnFGXeVmpnNekaPsXX1/ks10X9XCzD89k2pTRObneqDSvaYnSfKp3upQnuKV6XR5S4uuv\nzuvOr26fmhfL92IKN9ve3k9/v8qatYtobs5iXLNgSK5ACFEDbAL+WErZlU0ZCUEwPIOW/CBTA7JC\nwNaODz86w29e3Mfl1l6XDAasrmyTubW1ThBTXPN3e1v54OOzADx631TmTM+Q5J3urXXffKrtddb/\nyVT7wJe729JvV7GiGILGFFt/GEGYOq2OG5ZN5vbbp+a87P7+4gg329urR3GeMaOen//h8kGTPAwB\n0QshytBJfp2UcrNDknOA1bSxyTg2eHgdc2iQ4z3qVuzd38oXu85z/ZLxjGt0UONl6qc+lWW9pQ0H\njnTw1nunAbj/ziYWzR+b9qW41pXsXqVzzoHspZR88MVF3vvsYmbtG47Idx/3xpAhQTCoIqVk3Ljq\nvKyXh0KRogg3e/RoO3/1P3Zy5LA+Kc9VeN1CW90L4O+Ag1LKv3BJ9gbwvGF9fyPQmXJ93j62eZ0x\nNyiG+5hEejp/oYe3th2necoo7rtnWuxEpuRurSvVbwPHT1zltbdPAnDHTRO5Ycm4xPam+iSrP4fQ\nNLjUNsB8jvD5AAAgAElEQVT1C+vzUr4HD/lEKBThN3+/mw8+OJGX8lVVY+PGfZw7101tbfmQhZvd\n8/1FNr68j4aGKiZnsEc+HRR6ynIL8CNgrxBit3Hs3wPNAFLKXwJvAw8Bx4A+4Cdpl14MxOQhHpls\nK8sAfX1hXtlymKqqMp56bA4+RWRvUJehFN1yvodXt55A0yTLrxvHrcsm5Ofds0rpbktTSdTY4bBG\nOKJRVeFn9UPN+j0qdQy1Wt9DTiGl5PXXDtHW1suK+2bmvPxouNmTRrjZHy4eknCzX3zRwgfvn2Da\n9DqefnphzrUJhba6/xRIOtoY1vb/S94aUcpGSrlEkatAKyv9LFnUyNzZY6jOZPadgaOahG/gUms/\nL712jLCqsXjBGO69daJzJLos25KwNu9mhGf9b992pkn6wxovv32GiAY/eWoG/iEyKPLgYTD45JPT\nHD7cxooVM5kxI7caKSklW4sg3OzxYx188P4JFixo5NHH5uXFLsBzgeshf8jDZEFKycCASmWFnztu\nzcBLVbptSZKu42qQ9a8dJxjSmDezlpV3T4lfKxzk9aaMOpfMfsAyee3qDbP+7RbarwZ5/J7JKCNB\nkh9pGAECy+HDbXz80WkWXTueZcsn57RsKSXvbT/OniIINztjZj2PPzGfBQsa89ZXS/tN8TB0yNao\nLAW+3X2JX/7t93RcGUi/HdmQvE2a7+oO8eKWY/T2q0yfMorH758a65Q5sMB2JHlTms/As157xwC/\nee00nd1h1qxsZuEshx0pHhKR7j0qBnJ10DSVIsKhCM3NtaxcOSfnxneffHyaXbvOoShDE242HI7w\nxuuHaG/vQwjBNdeMy+uE3JPoPeQe+SB5KTnd0sW7759ixrRa6mrLsysvE5sB43dvb4h1rx2nqzvM\n5PFVPP1gM34lPm1OYsDH1S3jB/Q0ypcRyeYPzxNWNZ5fOYWJ46uIeswrcVIYFLx7U1SQUurkt2g8\nC68Zl3OSjws3+2Thw83294d5+aV9nD3bxfTp9YzNINxsthiZRG/t2MUwQx8pyGRAta17X+0Msun1\nI9TXlfP4I7P02W8O1PGuaYz/wYEwL71xkvYrQcaNreDZR6bFbXkZNME7Wt9Ld6nNKb3xDgshePz2\n8Sh+H2NrA/Hleer71BgO6vBkNholAE2TvPrKfuYvaGTRovGZkXySvmHCHm52foHDzXZ1Bdmwfg8d\nHf08tWpBweofmURvRYl1lJxgqCQcF6O2cDjCK1sOE1Elq5+YS0W5f3BagzTPh0MqL289xYXWfupH\nB1j7yFSqyhV36dqt3HRD7LoZ3tmj19mw/3gX59pCrFg2lsZ6i8VwnKHeIFz8enCGN27kHL/94ARH\njrQzZ24KnxTpTIDN48ZzOnx4aMPNdnT08+KL3zPQr/LcmkVMm1a47a4e0UNaW5VGDAZD8pmSb5rW\n6mooQlWln7tubWJsfXnKPe4p600jTyQi2fzOac6c72VUtZ+1jzRTU+lLcY0O12PXPKQiXCd1vaa5\n5tt1sIt3v+qgeXw5akRSJjQQisUC33u3k2Kw7/tQ39ehrj+H2LPnEl9+eZalN0xyJmGn3TBSJvdN\nYXhSPHmmi81bDuvhZm9u4sZlkwveN6qqymgYW8Xdd09nglv47Dyh9Ik+EzV9MXTcQqJQknu2JK9p\nSCmprPSzZtXc1BbuOZLkpZS88UELR093U1nuY83DzdSPDiTJlyKqXLpwUte7/JZSsuP7Tj7d18Wc\nKZU8eVsjZearK21kby/HQwzWydBwwHBrb5o4f76Lt7YeZurUWlascNgvb+0bdoJXVdAMt9G28V4K\nhXOX+9m45bgebva68dxxa5PzttQ8oaWlkwkTaqJb+IYCpU30JdghcoZc3ptMy0pF8kZ5x05c5Yuv\nLvDUo7OoqixzrytTgk+SXkrJux+dY/+RqwTKFNY83My4MRWWvMlI3Vau0+CRblvt4Wlt+bZ9dYWv\nj/SwZGY1K29qSLTYNcneg4dhgMOH2qmpCfDUqoWJQWSsEruUOrGrKiIcAjUC4RCEwohIJIHoL3dr\nvPRBqx5udtZo7r95HCIUAr8ffL5ourjvHGLf3ku88cZhli2fzL335t7hT7ooXaLPlshGglSfL/V8\nOundSN6Wrr2jny1bj1NfV65LqumQdbJ1OgOpjOd2fHmJr/d14PMJnnlwCpPGVWZG7oPVKoC7yt6S\nd/LYMsoXjuKuJXUIpJFOAWzqSM/wtPSgKCU3Tt151zSW39iUU9ezV3pU1n3YTn9QY/aUKh69c1JB\nw83u2nWW7e8ep3lqLbfemvsgPJmgNIk+DcMMD1mgQCQ/EFTZ+NpRfD7B04/OjI8tnwmx2s4lkLyN\nBL/4ro1Pv2nVw82uaGLaxCpXok1VV8r0bnCKWmdIMwMhjYtXQkwbX8G1040APlKC2+Bll+qHSMMl\nhDgFdAMRQJVSLk2aoZB2g8NV61cC45iUko8/Ps2C+Y00jqt2J3mrxK1puiReVoasqIhT3UvLs+zu\nDfNP7x6np1+jeXINTz4+B6Xcr5chRHwUxBzfSyklOz48xWefnWHu3AaeeHL+kETBs6I0id6DO4pp\nYHNoi6ZJXtt6nCtXg6xdNYfa0Un2y6d5LI7gXa7/u/3tvP+5Ht3t0bsnMXdqTco8CeedtAVWos10\nK55FZd/dH2HDh61c6YnwLx4Zr1v/A9Iu3Vn3zStKManw75JS5idOrjeBH5b45uvzfPKxHv3xjnEO\nkSetsD9fK+mbKnhDkOjvV1n/5lGudoWYOKGaZ56eT1llILGcPL0zV68O8NVX57juuok8+NDsovBM\nWXpEnwsiK8WBY7D3JdfSvEt5nZ0DXLzcx/13TWHqpGp3w7Qkx5JK7g5q+AMnunjrIz1A4gO3jOda\nuze5VNfuFjteP5g8rxssJN/RGWLdb1vpDWo8fXM9VYFYAB9hGhDGZTbfXQvZDyvIwvRBu6V2pvWV\n2hhhItW7nwOyPHXqKtu3H2f27DGZxZZ3qs9yLDQQ5qVNh2ht66ehoZLnnltEuVVTkMdnpmkSRRHU\n11fyu//8B9TXVxR0qSAZSofo0yWiUiTxZMjVxKcQ0DTqa8v5vRcWUlnhTz7gpFLLO+aRCcePt/Sy\n5YNzSAl3/GAsNyyoS15vOvUkg3Wi4TTTt7XxQtsAGz5sQ5OS5+8cw+SxNut/Q3UvNE0ne/u7XRzv\nuwS2CyEk8Csp5a/tCYQQPwV+CtA8ZVz+W2Q18IJiuEfFAbt1O7hP0rMk/KtXB9i86QD19ZU89vj8\n7MjQoY+qqsbGTQc5d75HDzf7zEKqKnyJ+fLwrAcGVF5+eR/z5jWwfHnTkATHSYbSIXo3ZDtjL44B\ncnAYKpLPVJrXNC5e7uPQ0SvcftMkKgNKorSVyXp7sohvlt8tl/p55f1zaBosX1jHbYvr49OmS+pu\n6/iptrZptnTWtMb398d78PsEa2+rp2G0P3Zf7IOsEPH59RPF4v72VinlOSHEOOA9IcQhKeXH1gQG\n+f8aYOn1c2RG/S+bfuq0PpvP+oYbnN5J+7ks17h37DhJJKKx+pmFVFRkSEEuE35NjbDltcOcOtWp\nh5t9Zj6ja2w7dfK0na67O8iG9Xtpa+tj6dJJOSs3lyhtos+Vunq4deyhHNgzsTo3fvf2hdn4+jGk\nlCxb0khVpd8xT9rknkzFb5RxsT3Ihu3nCauSxbNHsWLZGN16HZFI8EmN8BK1BGm1A5JOBHTnN5L7\nl4zmtvkaNeV2xzuWd9MYuISmOa/Zw5C6wJVSnjO+LwshtgDLgI+TZipEn/McCiXCfk/cSHEQ9+uh\nh+bQtqxv8D7ezWUrKdn6znEOH71CRbmPNavnM6a+MpYmj8+2o72Pdev30tcb4tnnrim43/x0USJv\nt4OZbioLabvEWArI9TW5SqIZ3D+ZnIAjEY1Nbx6nry/M6kdmxkjeJtkmGNRFz0sco7xZ22gj+far\nQda/e14PNzu1iodvGhtTH6YiebM+e71OdTp97GU7tPmbw1386u2L9PSrKIqIJ3lrvS731PGcPV+B\nIISoFkKMMn8D9wH7kmcqQMNMWK2vPehIpeXIUmV/6FAboVCEQMDHpEkZeoZz0fBJKXnv/ZPs2ddK\nWZnCM6vmMz6VYV+O0NcX5h/+YTfhUIQfPb+kaEkeSlWiT0ZQTmuYkPyFLTY1fiEmKNlIqHYkI3nj\n//YdLZw518NjD0wzoq3Fd2ZhN3RzkqBtRO7+/CVdvSrr3r1A74DG9IkVPHFroz7bVSPJ18wd2m7/\nL9J5LuY9sa9LaroXwI/39/DRvm5mTyynXEHfOmS2w66Wh3jVvJNUP/QS63hgizGR8gPrpZTbkubw\n3PIPHTSHPuT2Xmewn//okXZefWU/N98yhbvvnpF+O9yOGb8/+ayFXV9fQFEEqx6fy5SmwrmWraoq\n45Zbmpk5a0xBItANBqVJ9Fa4Dax2pHphi4Hsi1klb0cy73dGWa1t/Xy7p5WbfjCORfPGJJwXTo5j\nnAYit8mADX19Yda9f4nO3giTGwKsvr0BvzAkXUVJLvEmGXiiBJ+m7/64tMZ7qWmSbd928vWxPhZP\nq+ThH4zCpwiL9sBhcjHU72MakFKeABZnnLGYr2/oJ0/5gV0zBTFXsyYUBSIR5/HU5X60tfWxZctB\nJkyo4bbbUljY2/u3vW9Z2rLr24t8/OlZPdzsypnMnF6bON7neNkB4MCBVmpry5k8eTTLljcNqqxC\nobSIPm7wtw26yRyLZFO+E/LV8QtJ8Klm0vb76nRP3YzvbDPyxjHl/OSZuUwYV5WQJuq32kktb/Vp\n7XDeSbIOhjXW/7adtk6VcbV+1tw2hnKhxTT16RCLrdwEgk/nOdkHTQMf7u3m62N93DS3insX1SCk\nBNVh4LXm1TTiDO4UBaRM3HJXov7RhwylRvBW2Pu62xJdmtL8wIDKxpf3UVam8PTqhfHOr5zqto4D\n9oA1lvN7Dl1h+29bAHjonmbmz67TtV9OSzE5fF5ff32Obe8cY86csax+5pqclZtvlA7RpzuQJXs5\nh1KKcBrInY4Xqn6n404Sq30GncZ++c7uEK2Xe5k1vZZJE6oTCdRpnVzTnF3DWgYGYQ4O1uOKQliV\nvPRxBxeuhKmv8bH2zrFUGg5noqpuW55k7TfzObYxE1jqu2FWFbVVPpbOrHK+PkhcCklC9qQKAFTM\nEJQ2mRYj7Gpx06e803vtN2gjjaWht986wtWrA/zwR9dSW1vhmCZBk2D1Zx8x2qBGIKIvYx0+1c2b\nH14G4N7ljVw/sxqCA0if4fnOb/GAZ0eW75Xpxe+Tj08ze/ZYnnhyflblDBVKh+itcBoQixmppOhC\n1uuGVGrpNAPVhMMar75+jI6rQX7+4/n6fnmn9phkZyV5qxTvRPAOmoOIGuHVL7s43RpiVIXCD+8Y\nw6gKJa69UQk4jcmVcCJezda2NNEb1Nh5rJ87r6lmdLlg6fSKJFoMF1uBOI94lmNWyb7Y338PxYdk\nS0Vu5O4w1t5+xzTmzm2gubkuvTotEwwRUXWCV1Wd5NUIJ8/3sWlHmx5u9prR3DS/JmrHIgCJxf+G\n6TFvkBygaZJt247y7TcXWLx4AisfnlMU3u4yQekRvZMa1fpiCts2pVwOgpmWW2xk7pYnHdW0m5Gj\n5beMRHjrvVNcuNzH6oenx0jekjZOZW8ledUSmcqJ3G3n9WZLXv+uj6MXwlSWCdbeMpr6gIRQOGZ4\nZ9kLLNzWHu2w3w9re9PEld4I677opmtAY0FTORNqHSY8VpK3v1sZLEUNS8IfTm0tJdi1YibhAkQ0\npD12gstzam/rY8zYShoaqmhoSGKo5qKqT4hMp6qcax3g5Y86iGhww4wK7ppXgRgIIgPS0PYF4sMz\nZ2IzkwSaJulo7+fmm6dw193Ti8bbXSYoPaLPFPaXNVcagGQqrXwQ/GDLdMufbmdxmvHbsPPby+w7\ndIU7bprInBm1Cecd1+WjxzR36d0k2UgkekxKyTv7g+w7FybggzU3VjOuyto2s62ReNJ3Mt50k6aj\nv9O4R5b0l7oirPuyB1WDH908igmj0njf7O+RfbCxT1xsGFYkX9D9dR7i4GDPIe2xEsx1cBf1+IUL\n3fzDb3Zz+x1Tufnm5qyaIYWCUDTw+SEAl7pU1n9ylXAEFk2t5P7lY8DnQ/p9ehq/H/y+mNre2rYs\nHfsEgyqaJqmsLOO5NYsSw+cOI5QW0TupUk0MlUV9rkk9V+WlU47T9jinfGmovC9c6uWDT88xf3Yd\nty4dl5DeMfCMRZIXqmozzrFK/DK2jmfk/fBYmK/PRPAp8Mz1FUyuRp8IRCKJlsN+v0H4Gb4HCUsN\nqe/p6XaVl3b1EPALfnzrKMaNduiC9u1xbmuNihJP8GbbjfTDi9wt8Hi+8LATvLnWbZlkxxGmy7vV\n2xvilY37qaoq49prJySv095fzKhyBllLVQGfxtVOyfoPLtMf0pg9tYZHVjQhyvT6o+vy9rV5axuz\n6Ac9PSFe2rCXQMDHj55fPKxJHkqN6EsduSD5VGUkk17d8iabKBl5Joyr4v47p3Dt/DEJqi/XbXTW\nj7l2B/FqejvJa5IvTof59JSGELDqmjKm16cwWrNrIzJddsnguagRSW2lwnM3jqK2ymdzPmK9Lyna\n4ETylvuaQPLDlfQ9FB5OFvX231ZCNRCJaLz6yn76+sK88OMl1NTY4jKYcOo7dk2dUU93b5gXXz9F\nd69K86RqnnxwGopf0d9v+8fankGQ/JUr/axft4eenhBPrVowLFX1dpQe0btJVvbB3e28/XexIBWZ\nZDsJSNOILqVE73TPNI1gMEJ/UKWupoylixsTykkgeeu6vCZjkryqxshcSv13NJ+httck352P8N5x\n/ZoenS2YW29J6wc0o72mo/k4ScZsfwb3Mm6ZweVeCkFrd4TGUT5mjitjeqMfJdXgYe6hdzOAcpLk\nPXgYLOzLmD5f4vvlohJ/d/txWlq6ePzxuUwcb/NO5zYmO50z/vcPqKx/7bgebnZcFc88NouyyrJY\nnVYNVg4IHuDixR42rN+DpknW/nAxTU2jsyqn2FB6RG9HMZJ2PuCwtjakMNbJX3vnBBcu9vKzHy8k\n4I8PvOIqyVvX5a0SeySSOCHQZHRScOCiytajur/6B6ZJFjdavcYJ0IT7lrS4e2cjU8frS+H1z3jn\npJR8dmyA3x4K8qMbq5neWBZP8nETTBmr023d32VCZT8Wt23QLZ8HD1a4bZdLtlxnQXNzLdVVAa5Z\nmLg0Fwc7wduXXDWNUCjCS1uO0do+wNj6cp57Yhbl5Q578HNI8pom2bL5AIpP4Uc/WkRDY2Fc6RYC\npUP0qQymzP/eYJc90tEqWAaLjz4/z9ETndx/ZxOBgM95Td5NjRdH5taPuf3GeN6GAd7xVpXNRyQS\nwR2TIywbJ0E1iNMPoICQgAuxmhOKuPXxNLUd1vyWc1JKth8MsvNUmGsm+Wke40vuFtipTldJyDZR\nMdtgmURksm3QgwdXOK3fW6CGVPx+hWvmN+gH3MZZp74et3NGjZa38Y0TnLvUR+2oMtY+Np2qcpdJ\niEubsoGiCJ56agHlFX73Pf/DFKVD9MmQybprMarvh2qATqFaAxLV9sa5g0c6+HTnBRYvHOuoso8v\nP1Flj6bp293MfbRhNUbwNsm+pVOy8ZBAk4LljSq3N6gQQrfClaaa0SRQH3GGdxqxXmA10kvn+Zvt\nj1r7xwatiCZ5fV+IfRcjLG/2c9/8cp144xQHNidDyZ6zoytny1KD2V6HNqflg3+koJj69XCBW/9X\nFDo7g/zDi3tYcc905s9rcM9jz+8gxaNperjZbac5dbaH6kofax9uprbaDxE13vo/Da1Wuvj22wtc\nvdLP3ffMYNz4mqzKKHaULtF7g1t6ECKz/aZp3NfLrX28se0UkydW8+BdU3RjFsvMPd7C3uZm00mK\nN/Ma6/BWw7tLvRobDvsIa4LF9Sr3TQjrgrtET+f36ZK8OQZITd9ra9ZlStFWNb3VSM8KJ3VmdMCK\n3/K373yEfRcj3D2rjFum+3WXttb7bK3XbIeT/UgyV85O7XeSenLh/rmU4JF9aqTRz8PBMK9sOkhw\nIELj2Mr0x1wXkpeRCG/9toXDJ7qoCCisWdnM2NGBaMApoRDvshrc7YPSaobk00/P8NGOU8ycNYZI\nRBv21vVuKC2iz/RFg+QDYDEMCOleUzYTmzQCzyQQsFNdts42qibAvNl13H3rZPx+JS5vUuM7SJTm\nze9wGEJqjPBVjfYBePFIGQMRwbxRKo+M70eEjGtShG5IpEkIECvf7wMiuqQvFF26jxrp2Qjf/uyt\nW/LiBitpGaw0hBBcO15QV1HG1DoFIuag5LQ2bzMATLU26oSoyt82+NnTjHTYtUnePYmH6zIRCWOF\nGQP+4qVennlyLg1jKpIao8aV4TCpl5EI7396nu8PXaXML3j2wSlMqA/YJrM5uEZL+9999xhff3We\naxaN45FH5pYsyUOpET04E1KyWZ+TX/ChMGLKVgORab50reztx1Kp8RUFTY2gaZLKcoXH7p+WkN6R\n5B3qEdaZvkV6R40Ye+s1uvoivHi8nF5VML1a5ckJfSgRGf/MATRhkLtZvqnK98Wk+7h2WAzx3KRj\n63VZSP5qr8ZrB8I8Ms/H2CrB1FpsGgSrRG/XGCgOx2x5rHntWgenCYJnjFdccHouxQC3McSF5NE0\nvtx1gf0H27nz1iZmz6iNbX01kewarf3b+P/pV5fY+X07igJP39fElAk2b3pOu0wctvilAyklr792\niH37LrP8xibuvXdGSWyhS4bSIXo3AjJ/u1mUwtCrNjMh60zSZuLVzu2YrUMKq89507Lc+Pv+x+c4\nf6mPHz41G78SX5Zw8lUfHUi0eMc4cdK8sT4/EIJgCDRJX3+EF09X0hlWmFyu8kxDF/6QBE0iDWIU\nioCAsTVIUcGvxA8WquE4xyrdW9e6NSzvidtAGLuOy10R1n0fJqRCb1AyNs6WJxL7abYhQkyjYDeq\nS7mDwmirOdBF09oHvCwnjx7yi2KZdGUqJBjppZR0dg4wf049t9wwPpHkzbRuBnk2Dd+u79v4aNdl\nPdzsPZOZOcWyTq7EiDzOOY697Aws7oUQNE+tY9z4am66aUrJkzyUEtHnE8OpYw52vT3J7D6OrM20\nxn3Zva+NXbtbWb6kMYHkk7c3fp0uzvuddUudoa4PhjXWnamgLeRjXJnKmsYuApqmE7yUmOvVMiIR\nqmFxb0rymoxZ3lvJMtoOy2TAen2mVB13LnafW65qbNgdxq/Aj5f4GF+TJJ6CtayoRkEm1psMmqZr\nJMB5zd6prnTK9ZA/FNO9T+f9SgIhJQ/cM5VIOKIvsTnlcdKiOggMew5d5d1PLwKw8tbxLJhh7Fu3\nTMqlUOIJ3vxkKM339oZobe1j2rQ6rr9+Ytr5SgEFJXohxP8HPAxcllImBPMVQtwJvA6cNA5tllL+\nacqCzTFXs5GGCTfVvfVYJlK9U0fIdiKQ7gCQkjBzTPA2iT4h2AwY9zXCucs9vLPjHNOn1HDPzRPi\nykruEMc4p0biHeOEwjFpPqRG1+fD/WFeOlfFhaCfel+ENWOuUhFS9cevavHSvCKQgDCdzpj3J4Au\nwZvkaq7LK4puiR8hkXijSBy0znSovPhtiNHlsPYaQX2FjMWRj6Z1kOijGgNDojfrtabBcizhuDFR\niT4Hm9Yqrn6yfz895AbJNIqFxCCWCIP9Yba8fYK7bp7I+LEV+KQG0mGrrKLEAuBYx1iLFI+mcfhk\nN2/sOA/AvTeO47oFY4z8Fik+HZJPQ5q/enWA9ev20N8f5ud/uJzy8pEl4xb6an8D/BXwj0nSfCKl\nfDintbrNLNNNbz2WbD0rXx04WXsHo553O65pzufs6+qaRnevyivvnmV0jZ8n72vCMXyjfYLgVGZU\nkrdI5tHtdRqRkMqmC5WcHiijRomwtq6DURE1pq43P4A0iF5Eyd6Q6M36AHzmb4t0b66Tm+nsKnWH\nZzyuRrBwnODe6QrV/lgb0pLorRoDN3K33yt7Oic/AI55i0iiLAYMBdkO9WQr2fJminym86vjpzq5\n8boG0ALOQaggOnkWhsbMusnGnBScOtfLpvfOIiXcct1Yblo81sibJsmbSIPkL1/qYcOGvYTDGquf\nuWbEkTwUmOillB8LIablpXCbNG/dwiWt26nA3UgplVQ/VINlsglGutvj3CY6qdaD3VT2BnoHVMoD\nCqvua6Kqwk9crzbTJlmTRzMt7I098uGwLtGrkei6vAyqvNES4EhfgEqhsbaylbpgOKqulxpRoo/a\nvikCVA0R8CGFQPg1izrQItHbpXvzvKLE9uDHSdX6New9rzKvUaFCkTw22yBt1TLoWe9DxCLRx+0F\nFugSvcUAMBUZSPsgZ1nnV5T4nQEe3FEsy3GFgkv/TQljbPno07McPdHJA3dMZvrESj0+vNOuGYjZ\nnygKKFKPQmfBuYt9vPxOC5GIZOmCeu66oTGxWjeSN5HmsztzppONL++jrEzh+ecXl+w++VQoxqnN\nTUKI74HzwL+WUu53SiSE+CnwU4DmKeNiJwzikkKJ36+dC9hUUAnH8wm3usF5YE9G/smssa2aC4ux\nnW6rFknIP6Gxit9/ZiaK3xfn0ML13scZ5Vks7E3iN7fSGevzMqiy7XwZe3vLCaDxbHUbjVoIqRrX\nZ6jJpSpjx6wqedDJHhCqBr7oOg86SUq9F8Sp7G3kaarXARkRvH88whdnIqyYqXBTkxIb8KyOc1xh\nIX3rFj97va5QzBtMvOre+G9dpvBQukhF1m4TezdtnR2W3SUHDrXx6c4LLFkwhqUL6+Im6dFJu7VM\n6zKYosRIH7h8NcyGt1sIhTWumTWaB24dHzOGM/qbFIr7mOokzSfB97svUlVVxpq111JXV1re7jJB\nsRH9t8BUKWWPEOIh4DVgtlNCKeWvgV8DLL1+jv5Wmg/er1+WtEuubhabJuzBGqx57f9ztd6WjMCT\npddKUYIAACAASURBVLfDnj+VVGd25DTbLzUQfqIq8J172unqCXPPjeNRjO1rCaFm7TN+Y0AQoZBO\niqGwfi6sQjConw+GoC+kH+sL8WF7BV/1leND8nRFG5OVEPh9+hKBIoha/ikies3mGr1+3qenEQIC\n/thWOzcyte5HtxrsaZIIsPVwhO8vatwwWWH5FEW3DzFJ2nToY5YTHVRdtsiZ999co/f5YmU5xZd3\nWxaxpnN6L0eyhF9KknsmkniqJblUPjSMj4xE+PrbSzRNqOLBmxsRYTW+P5taObNMa4hkQ6JH0UAq\nXOmJsP6ts/QHI8xuruHROychzL3rdnW9eSwdad7h+YbDEcrKfDy0cjbBYISqqrK0blupoqiIXkrZ\nZfn9thDir4UQDVLKtqQZBbHYyZAgkUZhfWFMlXeGM8S8IVnd6XTwVCp4O+xOLOzlONxDU7I/0dLD\ne59fYs60UbGOam+vE8mrqj4g2J3hhAxnOGpEJ/neAWQowpcdAT7tr0EgeTLQynR/EBAIv6JvnRMC\nEfDFyNwkSjuJKobk7PelR6B29bqiEJaCV3cPcLRV447ZAW6fFdAlEavvfb8vft9/Mo2SUKJlR7/L\n/JbJqkMADyekQ+ilQnQesocTySebDKg6oStSY80DTYRCKn5NjevbUQNaBy2BsKynS7+f7oEw6969\nSHefytSJlTy1YjK+shihJxC8+Z3hhFVKyRdftPD97ku88OMlVFWVUVXlvf9FdQeEEBOEoccRQixD\nb1/70LZqiFFkRlRXOkNsfreFhvpyHru3KXEPqt3wzrJ9Ljrrt9lTxBG/sda9uzvAe/21ADzsb2eO\n6I+uw1sN7wp23X0aLVciPLSwnDvmViJ8Fs1AKiLNtL0lSMxCCJ8Q4jshxNaCVlwq9zIX44Bb/4su\nn6nR70g4wsdfnifYF6JMaFQHMCbrxoTdSvLmklvCR/eJMdAbYt37l7jSrTJxbIBn7ptMmd+B5N3W\n5J2keYfnKqXk/fdP8NsPTjJ+QrVztLsRikJvr9sA3Ak0CCHOAv8JKAOQUv4SWAX8gRBCBfqBZ6VM\nY8HR3JYFyY1ODJV+3DqmUzQxN4t7p3JzocIfCjJPFu3P+m0xbgwFVV5++zQSyer7mihXSGy7kyRv\nzv7DYeIM7sy1+GAIBszfYfb3lLG1S99Pe5+vg2tFD6gSqWKouTUIRWKqe6uqHqJqfGGes0r8/iTP\nKc4oTtcCBDVBeUBhnCL4w6WCyvIIdPda7o+M89inX69lJ4F5TxzrE/HbhPzmACcsanyHtpn/zd/C\n2u7Uas0hwh8BB4HSCPBdSORjfLAaxzoce//Tc3y1t4Nxo/3Mb6pIMlm3G9rGawtCmmD9Fz20Xg0z\ndrSfNfeMp9xn7hBxIGInqR5SSvORiMabbx5m397L3HDDZO67f+aIcISTLgptdf9civN/hb79LnPY\nyQkSLe/dOozd6t5J7Z8vMs7VTD0duM2Z3Ix1LCSPpnHmXC8dnSGevW8yY0aZSyU2AorWZSszEokf\nFOxtNkjqeH+ALVeqkAhur+ximegBKZAh09hOIkNgNZCL1RO/D10EFIRPIKrKwK8gyv36Or1Te63H\nDJJtU32sO1bGTRNUlk2QVAoFBqzGdMZAFzJ3DFgtkVOQfPSaLcQdUWLEr6jxxG1Nm6D2N+swIvNZ\nr6UINEJCiCZgJfBnwL8c4uaMPNj7t7X/Obwfu/e38dXeDm68po75zZWxyXokYslvndDL+GMGVAQb\nvx3gXEeE2iqFH91WR5XfSCM0dAdVRmInCT4dkjfSbN9+nH17L3PnndO45dZmj+RtKKo1+kHDukZk\nc9UqpKYb5zlJOG7Enok0lE36bJBJvkz92juttVn2ys5qquIPV09jVJXfoR0WYzDrYKCqsQEi6hTH\nUNOb6/KqBiGVlh7BxgtVaAiWVfRym78Labq2VSVoxDvFSbrf3PYd/RjPySmvaXUvNM72+dlwugxF\nwJQaDd1I30l7YZFgrCRvU9dLW33R9psEbiVoKdFJWxLbPaBY0huDZJwPAOInL1rRSPIA/w/wC2DU\nUDdk2CFXEzWrhsmtbE3j7Pke3v7oPDMmV3HP0jHxkryd5G3hoqOaLUCLaGw+qHGiTVIdgB8uq2K0\nX4NwOGaop2mgCbDa+WSpgbrppilMnjSKaxdPyCp/qaO0iN4NmZLwYPPlC7mUztxI3vrfOHb4ZDdS\nk8ybUqmTfJy0TqzTmvmsMeWta3gmyZvq7ajKO8KlXthwtpKwFCwu72NF+VVEWLM4w4knS6lJw7qe\n+LaAfiyqfk9jZm9bfjnWrfDK2XJqyiRrZ4YZk8qYx23SgI3gpbX9+ndc66waEmGfkNj+28neOvEx\n3esWAYQQpifMbwzPl27pYttlm8cXqHWDhLXPFGKcSKf/p9MOF4leSsnWD89RW1PGk3dPQjG2gsYZ\n0FrX5q2Gp+Z5TUNGJFtPwKE2hXKfZO0CwVg5AP16OQLDmWlAb69QLEJYBmNuZ1eQb769wF13Taeu\nroK6Oo/k3TAyiD4d5ILU0y0jU8LOlRTvVE4Stb2QGpfb+njtg3M01AWYO3mSYWluHeAgLnaKk4W9\nuR4fsq7RG8Fq1Agd3SovtlQzoCnMDQywMtChk3xYMyR56SwRG4Qu7Lfc9IznM9bwrZ8Uuxs6Qn5e\naqmksVxj7YwQNWXoUodVAofk2gQryUsZn9bm0lZKY2udEDrpW0PlRpeS0O0MogFwjP92l71m3uLg\neBO3AI8a22UrgNFCiBellD+0JorbLvuDucXhCCBZf3aaGOea7J36Zjp53OyJUpSpIFn9QBNaRFIZ\nEBCWUYO6OP8W5i4Tc0JvTt4jEWQ4wvZzfna3+fELyXPNQSYoCgxYNAI+H0JRdMleqFEtWib3sLW1\nl/Ub9hEKRVh87QTGNlSlzjSCUVpEb5kRSg3wxZzmJHXCYOYd7siE5NMYOPoHVDa+00LAL3j6nomJ\nJG+Wo1h+29X1JskPhGIDRViNEn3XgOSfzlTTqylMLwvyRFkrIqRL8ibJAwh/zNBO+PWPvp4d+wir\nMZ5pqOe0Bc9+D2Ts2Y8JwCOTQ8yt06goM9bBTQM+c20cDIc1xCRrzVC5KyK6HGGq56WQzs8mWpaL\nvYA9aId9a2DCxMNcYrAsowwxpJT/Dvh3EI1l8a/tJF90sJNhumNDsWkA04UW4djpHmZNrWFsXXm0\nD8fOa7aPtBjaWpbi1AifXFDY2ebXJw0T+2gORGDAovFTlFgci7Ky2GQhHQN5496ePdvFy68eRFEE\nP3p+iUfyaWAYvpWZQQolzmObI9w653DstG7I0Bpb0ySbt7fQ1aPy9IrJjK62zAnta9A2VWCcut6U\nBuwDgxqhLyh58Ww1nREfk/0hnq5qxy9lYvkGTIIXfmNdz68gAr7oh4APKvxQ7ocyH6LMPO6P32dv\ntcZXFCSCHa3lnO33gc/H4rEWkjf34McZwFks/YXlf3TiYZkQmBMQkTgxiR7D5uQn4VnZjPasx50f\nXlGQ/LCD233LYpI8pMiwfTv3dPDSW6c5eKLH8m5bvv228LAu792uywo7Lgd0vxfje5lVbjjBimi6\nHY7VmC9VO13Gp2PHr7Dupf1UVPj58QuLmTBhZLq0zRQZM5kQYm0+GpIzJNln6cEGJxWf8b3vyFVO\ntPTy0G0TaBpfGTtnV1lbSdlcs7Ou55kqvwHD210wBCGV4ECE9WeraAv7aPSFebaylUAkgozokrx9\niVn4dYI2ST6O3AO+GLEb5C4qDAv7gF+fFJhb6/w+rEStCcHWixV83BbgYI/Ne5Z9y57TvbOSc8Kx\nFPYBmbqqzfSdtvsdyNL3QK76vJRyR84DVg0GmajGrRJtumXmEtnaGKUo80RLN+9/doG5M2uZN7vO\neU+7dWxQ1ZhGzowsGYmwp1Ww7XwAgJUTgiyo02KeKMusE21b2RDfT1Jcp9QkjQ1VvPD8YurrKzO/\nJyMUaavujS0yAP8MWGc5/hdSyuLZMpPObDGTsjIeXHOsvkv3OjK1sE9WtqZx7ZzR1FQ0M3NyNVED\nuzTyxaR5S9jZOEleIxzWeOl8FedDerjZtbUdVIY0ZzKKk4xJlIrNPfPpEKsNYQ02nw5wuMvHbY1h\n7hwXdrimFGrFNMgzal8Q57PBULtLcz3fCKmrnzTsAiDOQC/Bt70BczeAk6X9IIzyir7P58quJtco\nBhW+23VZ2tVxNcjmbWdoGFPBoyuaEVLGdtkY4aJFMAj9AzAQhN5+wzV1UJfSDYPbw71lvH6xGoB7\nG/q5vtbSj5w0UWb7omN1kj5maLwut/YxbnwNs2ePYdacsd72uQyRyRr9LOB3gCVCiO3AUeAIsCIf\nDcsKtpfbcR99utvrUp1LZnFr72TJjGOS5XNDLkPT2iZGFy/1UlEmqB/lj5F8xPSYFYmRuVu7TGKP\nGvAYM/9gCIJhImGNTecs4WZHt1OjmcY95tY5ozzr+rtpWKcYjnDM3z6LGj2axyjA9HFvur61qB2D\nEYUNJ/yc6RE8MCnEsjGqrc40pQ1FxMWpid1XmxTt5DwnzkrexWjPSvbm5MBqlKdYjtsbYl1ayQ5D\n1+dTkaX1vXWySSgGos11G6zSdbZ5DUk6ElZ5ZesJAJ5+ZCblAV+sj6t67AnR26eTfGc39A5AZx+y\nN6R/QhpSg1OyglepQyK4paKbm/x9yB4lZhdjn5SnMxm37J+XUvLbj87w5a7zvPDDRTQ1jfZIPguk\nTfRSyh3ADiHEI8BW9EFgIbA6P00bPBIi2BVD58/mnIlMVL3pWthbfnd3B3l560mqq/z87hPTEHYX\nl5rNM5a9bNOIJ2KEmDW/gyHoDyH7w7zRVs2R/gAVQmNtTTt1MhwjJCH0wDnmpjOL9K4PHBZyj3rE\nsxG93dMcxAYcizGdT0gCPnhqpsbCWoh2BWtZpuFeNBCOfUJnWOL7DAt4U6IWmmElr98ToWqA0CV7\nn3B+jpkOXlHSNwnPJc0gyH449vkoUlmfDwc4EftgHHlZyvOV+bn9libKAwpjxlQmLkuYUr2pqg+r\nyKCKHFDRBjTkgMZ5GeDV8vFEhOAHoos7y7pA8+vSuWn8WmYsn5X5IVCmG+CZH78/3sDVdm2aJnlr\n23G+39vK9ddNYNIkzw1DtsjY6l5K+abx86jxKR44dIyUhngjBSmke1XV2PTOaQaCkf+fvTcLsuQo\n8z1/7hFxttwrK6uySlWlrYQoIQkJJAQIRLPTgNgRiO7m9kxbt8293ddszGYexublPs/LjPXMnb5j\nbXOvTS8gEGqBWNVsAqEGxCLQAtr3WrIqt8rl7BHu8+DhER5x4pw8mZW1Up9ZWpyME4ufCHf/+/f/\nNj77wTizlHZCaKA3/WXmOvF+NyGOkxhHdyO+s1jj8UaFAMXnxhaZkQVUOThVBGO7vHWg85zPFrzd\n6ld5e7oFaC/V6JeamooPNR/uPBQ7z2tXK6a44Ix7XSFjSlymGreKbY4+EBLT6RJQyXmCmMbfLo1k\nkNkgn4b3FOScG/PnI2ifKyIlqytNxsfKHLp6uhjgtbugL/DxUJoFAr5c3ktHSK5Ra7zfX0QI4+OS\nmNE8L7XRl4LYVm/2aRmPYdfRz5FuV3Hv15/l2eeXefut+7jt1n1pVM1F2bRsGuiFEDdjslw1gPu0\n1vdue6tORYqSLgyi0U63lp/xkh5AvQ1Dy/WrODfM9fqFXEmJjiLu/9FhDs81+OT79zO7s5IChRWX\nKnWd8tz9brxtotF3od3lgfkSv6pX8dDcMbLEXtpZLTQZxKlGnVSpkwIRxN7zUqTOPT3e7znNwP1f\nCo6uab74eMi+ccFnr/UNb1DkYJg7rzCXvBJGc1HaJP6wz0Erx2auzCLC+d/cs8/7yzMUIvf/RpK/\nbt5csHVnvHNnzG8G5E+FPrf3Odss4DbLU08v8tX7nubOTx/isgNx2YF4TAvXROdGy1iJTWYrQYm7\nmKUlPA7qOh8pLSJjB1iTZtor0OQdjd7zMtp8xgEwlkcfP8Gzzy/zgfdezk1vuJgI51RlK3H0/yfw\nGcw0/TdCiJu01v/r9jZrC+ICWx7U8mBb9Bm2v253oU33FMEeetvZD/iHvNdjTy3z298vcetNu7jm\n4ER2le+en89pnYCbkynLgny7Y0Jqmm1+Nh/w0NqICbupLnK5aJLQ8278e/x/svVlStPbScNq817O\n7u5q9KIX6F9YjLj7t22qgeC9rwkMhW6P6Qf0RQCf3yZ9LL6Osr/FT5+ViG3nTrx+IehacIesX4Hb\npkHiLr7s8Uqlv3XrxbzOzTFvZTv8XvqdM4yvwGb9e7ZLNvnbTszXue8bz7B71wj79o46i/YY5OPx\nKzqduHR0N/Wujx1p10LBF8NdrAuf/TT5hDePHwiyiam87GfP0dytNp8JVU2fkY4TR73xxt3Mzo6y\n75KLdP12yJYS5mitX4k//i9CiIe2sT1nTooGYL4+/XZfH04P7Whp9n7t2OCeV18xzuotu3nbTbsA\n14HM0URdTd5+zgO/kyHLxs3+ZiXge6sm1vX2yjJXe02nbSIbPx7vS7YidcAjscvLlBKELD2fOT99\n/r87HvG1x9pMj0j+5A0lxirSAWFX4x5S480vDqxDnnWQExJTaMZS9wVsSpGtPq/BF5kjNhKlHVZL\nxG3glPvdmR3z50ZivEQ2csg9XWC/2Xc2wJ7frLe5+54nKZc9Pv2x1+D7Mi1L6/5ZH5s4bC7ZKk1T\nCe5qzLBMwKxo85lgnlLMuiXafCVwtPkgoerTxbk0oO8Z4E9Mq1KyuNTk6/e/yMc+fJCpqWoW5C8w\nZuVMy1aA/p+EEF8A/g4ob3N7ti5FzmH9jutHaw+69iDHnmEH83ZrHlY2m/Y23r9W71INBJVA8vab\nd8fUXQzadoVvs9zlveld4E+quHWN405M1z+5Ivnmggm7eV/5JNf79UwTsklisg51yXcZj3mZAr8L\nhIW0vdl2I813n+qwd1Ly2TdUqXp9nlXe412KOObNAcoEsIuc6SSmol4M7tYBXlrQB6SXu0/BxJw3\nG8Dmaftk8VXgNLk1OTfG/JmyzRctjrdrDtguGWa+i/cppbn3vmdZW+vwZ3e+jrGxUmaRIuz4jeK0\n1W44bNyPOqHmrpNTnFAB06LLnbUFKp405rWKb0xrlQDKgQH5cim2zweGsve8dNuziJUcPd7gS/c+\nAwLanf4LlouAvzXZijPe3wkhfgl8LD7/3217q7YqRXRzPykatFL21+o3uuZWvXw3M3ltNayuwNbe\naXf50lefZaTm87kPX2o87JOENwbUkxrymTzXDthDtha7zV/f6vL8quTe5XE0grd7J7lZnUQ34/b7\nMvZnM4Ca1I2HBMS1FgisZlqgrW+gQenItC8Qgs/fVGa8IghEZDRud3FSZKPP3EuDjhcTKjLa/zCT\nTUKdW+/4fKKhId67e24R2OcXJ0n/31aQP3tj/kyDp3vfzex3v++n+Q+jTGxVhjh3584qr7tmuoey\nT5k4dyEfOtq+JlRw9/w4R8KACWnyXoxahs2TiFoJAg9qZQPwJR/K5VSLjwFe+zaBjlkEaM8H3+eF\nV9f4ytefp1YL+JM7DpkoACsXgX1bZCvOeH8NfBB4CfgtsAN4fnubdQqS6/SZWHr6gHteXEAdROWf\nCtV/KgA/FEj0AXulTJWq773CicUWn73lACJSxVp8p+tkwuqmBWqiKAsmNr1lx4TfHF6Fu9emiBDc\nrFa4tbVIZD33pQBPxalsY3rZ5q2HNIROCnTJS+33nuwPeJD5TmnNd57sEnjwvqtLTI84mribpzvZ\nV/Q848WHUvFnR7vvJ1abT2Le7XXt/tz1e84vMF+42/zv3ehzvm9v0Wv5rIz5YWzj0HvMqTrRnS7W\nYDuvW7BwBwoVAaU0Ugre/+7L0uPztnk79i3oa52McRUp7j1W5YVWwIhU/MnOk0xIQHqp/0zGh8ZL\nTWvONgF5z3eyU0qef2WNL3/tOXZOV7nz04cM22Blo3d4cREwtGyFuv/3wG3AbuD1wMeBX25no7Zd\nXLq+aGJwbaj574vA3B1Q9rMt+LJVCn8YbX0zmkbRZBBvf/qr4/z+uRXefcsuDu6txna5Plq8pePt\n1taPj6xGr5J9uh0ytwZ3NWfoIrm2s8pty/N04ig66QFSIwOQJR0XponT20pi7V4hAon2Y1rQSiFN\nL3oc70It+OrjHZ48HnHr5YFx7ikqxtNPesBRZgEy74yXPmTAy2rvrmd+JrPgAK97GBhbnF7DMZsk\n95S964eiZ7V5OXtjPm9qG0SZF/X5fguBYe+9GSlyCN5uyT+HTLbFbHuPHFvnvm+/wKc/ehUzO8rp\nMWFoFKAwgm4HWm2zsG8048RWHWi20M0u33zF46n1gLJQ/MnMCtO+Qsi4n9saEpaudx3vLMj7vgF5\n1/FOSqPNS8nePWNc/7qdvOddl1Gp+IOf20Vg37JsJgXuDcBTwPeBttb6SeBJ4EunqW1nTjYCaBfs\ntyEuudAGOMz1h/XKHwDyz724wgM/P87rDo7zlusmndW8tc1H/UHeet9Grh1PoSMFnYjFBnyxOUML\nj6va67xv6QSqLVCR+W3a0wjfavaANDXltdKIpEp1zgM/H3I2AOTbSvCl37R5eVnxvteWePMVdnLT\nvc+uyGHNvW9eikAyodUt0ETZdmdS1zr2+X7e73kv+4EOnZYl8FL2oMhJsChyYEg5a2NekwXMjUxy\nw4L/ZmQr5xXdd7vAqWhMJ+GTvc9nbb3DPV97FukJRsqiV4uPQV602gbYu11otEwmvG6Ibnb53hGP\n366UTLnZmVVmS7EPivWmt1EweXu8o7EnDqa+lxSAUggefXKJaw/tpFr1+fAfX9lbqdGVftFLF2Vo\n2YxG/3lMVqwZ4DdCiC8DjwC/1Vq/eDoad6oi8vnZvQEr7kFaf5GcDvvhVhYRQ9jj7VZoxeiIz9WX\nj3H7bXvM2sKCk3I966392rFhJ/b5VINHaQPyoWKlA19ozlDH59KwwYdOHocIVJQCPcTQ52l0GP8j\nDchrYrDvsWUP+N86yymNUpp/eqTL3Jrm49eVuO6SUo7SVuk5mWeTmyzTVtoTSah7MFp63inPPrOi\nNhb5APRU7MmZlAYxTHnpR9u799q6Jn+WxvyQ7NZWPeGHuXbSlCHHpF2oF/nqbLYdgxYZLsjnAT7e\nhqHinq8/T6sd8ed3XEWtLFMt3tLzUZiWkE4W9emC/ifHJT8/WTblZqdXOVAO0wWs76VRMNaj3mr0\nLmUvZRpKl4A8fPvHR/nNE4soJG+4cXaw+fMioG+LbCYFblLEQggxA1wX/30Q+Mvtb9oWxBkgIj+Z\n9qVchxSr1dtQtnMB5PMyAORVGOF5gj3TZe54376Yrk8Hfoaytw453W6ap74TQje2w4cqLWoRKupt\nzRcbM6xonz1Ri4+tHEO2QUWSqCtRcWy5VhqdtFEj7CP1NcIHLTUyBlWhNXQk2pMIwmxp2dDV+s1z\nk8BNeyWjJTi4U5iJy3WIA6dMpk6dCN2MX3lJ/AMcT2Ff95oQipz7rA+Ak1kw05bsizPX0jkHPinT\nhVj+Pef9JIoc8PqF6g0pZ3XMu0DWT6svAlVXhtGq+4HqsEWi7LXzJjz3u+2yz+dB3l1gxlutNd/5\nwSscmavzyQ9cyuxUYOj5omiadqzNN1oxXd+GZptfLPj8aKGCQPPxqVWuLHcAkQJ7OchubRid9aq3\ndnkbShdr96GCe39whKdfWOXWN81y4/Uz6W+76Fl/WmUrznj/M/CnmCxZ3wT+w3Y3asvi+2mHd+OH\nvax9aFMdqWi12W8Fupnr5qnkQbHw/e7RT/vLsRMqjLj72y+zc6rMe9+6O3u9JGbe1U5tOJhMbXGO\nCExKW0JFqxlxV3MXC5TYqTt8Vs5R3Slhp9PGvLIsZVpXPo6VF07CDeFqC0FMA1p7oMi+v7nViLWu\n4KppyQ17Nnj+Ns49+exo6u6zsO8ljAE3jNJnEdqa9l6WZs8ArsoCfJ5Ot9t8Yh/3mp6XPSef2yAJ\nfXLuY8E/ee7u/XPvYRNy1sf8RtR9XvJ+NZul8vOU+DBtA3qidraLvs8zDEUgH3/udiLmF1u87aYZ\nrrl8xFl4hokTquh0UsfaVjuh62l1eGxBcP+88Xr/0Ngq15RbYB1TpYw1eSetrfWqt4AvhbHLJ3Ot\n6eetrubu7x7m5aMN3veOfbzp5r0pte/KUBEtFxcCm5WtOOPdCdyste4KIe4E/hvwZ9vbrC1InnY/\n3U4xRXI66PxB9xryuB/9fI7nXlnnNZeN5YAottmFjsdtos074TadMHbAM8foboTuRIRdxd3NnRyj\nzKTq8tnOUSoiMl70EgfUSBhwsPZ5ES/AcgVrAvtZGpB3K2C5WjTw0knNl3+vGS1prtwhkAyhsbqe\n8RIyDnMe8XOxwNqnD+UmMbPP/sB4617P1aTzNnN3myT9ca5f+E41BO4k7wC9u69Iu9+anNkxb230\nmzGlJec6C9c82A86Pi9F7NiwPjK2vXnAPxXJLMRzf6QMZtnT/LuPXmqSIdpwWet4F4YIS9NHUWqT\nr7eg3eWpec19SyYt7rtLJ7lBrKNbAlGJU0+7Gn0pyNrmreNdkhQn3gqj1S+vtDi+2OZj77+Ua183\nk/1tw7KtFwF+y7KVJ/cqMAqgtb4L2LOtLTpV6bGXqu0ZaEVyKnR7vk3Det0P+n0Fn3/39BI/fWSe\nN14zxRsPTWavYSl7u7rPO+C1O0nyG9pdaHXR7RBaIVE74l8a07xMlVEV8pn6EUY6IbqrzV9Ho1vK\nbNvOvvgvXTgoYwoIc5+VYx5ww+JiUHtqQfOFJzRjJfjT6wRS9LHvu5pwXuu2WnEU0/h5OtyVvDPg\nMJL4AwwwDxS1VeXO6/lL31+27XZCd0wURRr+5uXsj/mtjOGNxtRGIF801gZJnnnYDnOce52C9ght\n/pZPtvjqd1+l1QzxpUgrT7pUfU80TTq2Xzyp+Zclk/firf4KbxYriR8OQJqpMl+oJki22laka4x8\nNwAAIABJREFUc0C+GZkxMzs7xt/8+SGuPTSdLmRdB7yLIH9aZSsa/eXAo0KIL2HUlye2t0lblFgr\nTRxOrLgd1QnrKJQizW0zk0VRGNeg8J4BoTE9UvR9H2ccu7o/drzON354hAOzVd5/8xS0WwmNVxgn\n343BvdHJALtuGfu8aikINaqr+YY3w7NBjYqK+PTKUcZaId0IVFcSdUXshJfa54XQSE8jpcYvK2QQ\nIYMIIUF4IEuABBEIZEUiShJRDaAaGFq/VkridB85rvnWS5K9o3Dna6EWiNQmLgVphjrnOVm7uQXz\nTpg+t6jg2dqJTUoo5eyHbtlbyDr45RcJPfb5uJ02Za6VHk2/k71n5j3nfkuPX4BjL7bnb3aRkpUz\nO+YtSA0z/qwM0tg3qg0xzNgaRlwGIt/+zebbKGpj7s/OdZ12xN3feZXV9S6NGyapeKWsFu9mtrS1\nKLrdxCZ/ZCniywsTRAjewCrvaC+ilDZjsKQRfuwrY9tkgTqm7XUQ9GrxUnJssc1d33mVP3rzLDde\nN0Ol6oTZXawpf0ZlQ6CPk2V8QWt9EkBr/XohxASpY851QojvAoHW+p2ntbUbSNbLPm9ns1TtACDO\n04SDaMNhTQP97IPbDfIF3y8stRkb8fnUu2bxvNSOnPGuT1b+UVrAIva8tRS9BXndUegIviun+V0w\nTqAVn1w5ynSnk2CdAfQU2LVKB7QXKDMHBAqvDDLAgLsPwjN0v5lcZOLVm9ju49r0WgheWpNcOQmf\neo0plJUF1ngrC56vq9Xbd9BXg4/va5+T9LLXk95gj3bX0a/fO8r0HWWA2C4A3OvmAdqyEHlHPPt7\nMu0U6UJmSKA/+2PeYS08r1dDHoaSH1a2C+Tt8UVgD4MXLBv55xS0w4K8jhRff+AI88tt7nzfXnaM\n+Wm4bBHIJ8ydGePz64ovLkzQ0ZJrWOd97Xl0pM04ivuWDuJxaJm2oueSALjZvjjX4u77X6Va9jiw\nb8wxR+UWze72opw2GUaj/7+A/14I8W5n4K8IIS7VWv+X09u8U5B8jHOyf0DnOtc63AAQ77fPXexc\nd9UEhw5U8e0CJ7HZORqhS9m3HU2+2UU3uuh2ZAC+rVEdzYPBDh4pTeJpzceWjjHbaqMiYXAt3mpt\nvexF4dzcbzEvpDD4Jhya3DIxQtLQHiOe4KMHASnwZG7C73nX9vt40nWLzUiNCZUjPcY9z9rMk3Ai\n1wlPZJ3l3MB4FV/XvAxju1d9fvCgeP18TL0r1is/Z84glOn3w96vWM7umLc2+k2f5yzu3b7QLw/G\nIFp+Kya/IpAfpCzk252XIhNdzvT20CMLPPniOu+5aQdX7iln6lAkIO9mtbQJcTohJ1e7/PORUZpa\ncpAGH1qfQ7XS5kgVuzRHKtunLGC7CXJs1jspefLFNb76/SPsmCxx58euZHy8kgX6QTHz/Z7rRTkl\nGQbo68A/Az+MB/5yvP+/AF84bS3bgmghDdAlA0z0fA8M33HOtQ5WNBkVyPceOsolu2tcc+kIvicz\nYCD6TBiJhujaySOFDmO7eqj5hTfBz6o7EFrzoaU59jebaCUyQA9ZgHelSAEWkmyZWuiZ+CINXztc\nYq7l8ZfXaUrlAscyV+PueW+xBh5GmOx18e/242QzQsWOcw4gWI3eUpQuwCf0eo79gRjcnTA5Jcy+\nIun5DQNAvsdM4DAF9nNm8XFKcpbH/DbYtjcC2H4gP2iMDcveFW2HOb/o/nafS9nHGnuz2eXhJ5a5\n7ooR3nxoLAF5kSzmc4WorINtJ2S9HvJPh0dYUx77afKx1hyiBVHbiST2QPvajFtw+r2zAHedUqXk\n+HKbf/neYS7ZXeMzH7mCasXvHSuuXLTNnxEZBui11vr/EEIo4AEhxLu01kswjIvzGRYpUwq5qH8U\n0UdFx7jbjY4bVrabYiygF4VW/PrxRX7+6BJvfT1cs7+a2uqUSh3vejLfxRXnmh10o4Oud9DNEN2I\nUG2FasGj3hgPTBhv2fcuzHPFepNIyRjks8Bu0w2ImD4XQiMkeIFGeBpZAlkGWRI9KXBtoQw7mbQV\nfOX4CC80fN6zP6IUSAZqu3nKW+nsMRbsS6RaSpGHOqThfCU/B/gyLY+biOdoU/HElzcVuFLIKIk+\nGn3BsUX0cj4EL79/eDm7Y15rRBSilZ9qgPm00/1ooSLQHmTrz2vuuc+ZWhkbDeGNNPrNzAF9tHnh\n0PJVX/MXH9zDaAAiilKAt4v3ovHe7tJshvzzyxWWQ49Z0eGOcA4/VEQO+yZ84nEqEWXP2MiCOJ99\nEDvhJeluLZgLds/UuP3d+zl01RRB0IeqH0YuAvy2yjBALwC01n8rhIiAHwkh3s22LLu3UXKhL4l2\nf67IsKE5VopsxnkwyoH8K4fXuP+hYxzcP8I7b9oJ2qHxXO96l8brhLFTTgddb6PXO+h6F9VQqKYm\nasNT/gjfHd8FwG0LC7z25DqRTgFeRTKl+zwNGPu8BXghzX4ZaMOaB2YiwbMgL9KtJxLbfF1JvjQ3\nzrG2x0f2d7lhrxt+tgHtnTwnASoGXWkpe0vjK2chUED75/Pqu/cuApp82tskTr+PvT2/Gs3cQ/bu\nc8WaA5QDIjL3HZCE+W1Otm3MCyEqwIOY8rY+cI/W+j8NPKkfdT8MDT6MFC6Sej8L18lSpvOJ7ueX\ncaoa/QbavC0n26q3efy5VW66aoSpqjAAHynnWF0A8ub/TifirpcrnOj4THshdwbHKYcaJVOnWAv0\noiwQFZmtNV8pJXHztlCNQvDDXyzwuqsnmd01wvWvndpYoRokF0F+22UYoP+W/aC1/s92lT/kuWdO\ncivzHu/7YYB2M7a1U6HjBjniDUPP5yYqoRUrq23u+e5hJscCPv6O3Ugd9XrdWpBvddIkGQ0L8h30\nege1FhKtKcI6RB3JC16Nb8/sRgvBG4+vcOh4kzZBfHsD9FrHZWWFRoQa3zcV8oTQxhznKUCANDa/\nhAoEkvh6q3V6KUh98+QYJzoed+xrcvW0JEEslQNPKzb5TUSqUeNc24ae5R3l8oltLDWpdErfh5Hp\n8fbe0lF/oMBLWhergHmGYZD0jaN326yy+4YpnrOxbOeYbwPv0lqvCyEC4CEhxHe01j/vf4r7bnIm\nia2AfZFWnXluBXNH8p19zlHyPgZlFO6rW2x1oe+CfBihOl3ufeAYLx5rcvmUYGbcTzV4+zusD467\nqO+GhK2Qu18IONzymfAiPjeyQK2tTIUJTyBLtv8bTV6O+YhagBgrw0gFRqpQrUC1YjztSwGh9Lnv\nR8f4/XOrlGsBs7Nj6e+1W/d9nQlv+yIl6Q9cNhy4WuvP5v7/OyFECPxvp61VpyCZQQrOZKcMJTxI\n8pNIPzAfRA9upiMXaRaD7pH7313M/Pb3y4Sh5vMf3EvFN7b2JANW3uO21UmSZBBT9Wqtg1qL6K5o\nuuuSdsPncKnK/QenUVJw9bEGV7/UZp0ywrE5ay1QsfOdFAbc/UjhSYUQGs/TSCnxImU6m9KYYjYA\nOgV5KRLwFFKggfePr7EelNg/AqggBmhJJplNRlzNOQeG+Yx1mTK1Op0gIdWILT0votSen7wzMZgS\nNj9kMN+7UR76okVBUb/Ig/zWAd40axvHvNZaA+vxv0H8N7iBmrQmuu+ndPTgG/Xuc8dm3+fmAGnP\n97n7KnutqO8iTBDPIZHqr/kPI04b0xz1IT/85TzPH2ny4ZsnmKmRhsi6lL1SqT0+1uZVV/HVlwNe\naPim3Oz4IhPdLlrFY1Ca0FYTBSOQNQ8xWjIhrmNVqJYNyJdLCci3tcdX7j/Mi4frvOdte3nzTbPp\n887LsBT+qYByvz6yGaXsApUtaeVa678H/n6b27J1iam+/iBvPgupBtvZ3FV/HvC3YmcrbGuBJube\nx5WCY3ompHgyuu31k1x3aYUdI6J/uVnrcdvqwlrTeNavd1D1kGglorsK7TWfZqPEUVnlB6+dIPQk\nlxzrcMWTIauijBDgCZWZ57I5NTRepPCERgqNJxW+rwjinO3SU/gx0EtAS5PnHgkIeJWAJ6JxPlg9\nyWQpZMoXoPwUkBMv9gKaPvOesu8+2bp/yT6VC01zvNrDKA6zEyQZ84aZL9y0tfn9rmy26MxmNcN+\n992knMqYF0J4wK+Bg8D/rbV+eIO7QWSKsOjNaPCDqPiixXqGEs+PPYdRyDv+SJldhGU80kW6EN9g\nnTfM73EL0Tz+3Ao/e2KFmw7WeMNllVRjdwHeLuydrJa6HfLNIyWejMvNfm5iiWkRGpCP2yxisMcX\nJry17ND1JT9Nc1sySXEaXcEXv/sKcwstPvK+S7n+mun+YG4/byXd7UXZFjm36PdTkHPGHj9Iq99M\nrOwwIA88+tQy+2bKTI/77BgPsiF0Nt7a9bwNzWpfdyJ0KzThcy2FakPYlHTaPguyzAPXTNANJDMn\nQq76XZe29vCExpOaCIEns7/F/myJJlLmeyk0fqztC2GS5Zi267jATUzhK9BonvNH+Bq7GVcRjQhG\n83HohRqus8qwz6WIlXEn7Py5umBRAMYb36azFZpT1ZQ3Lf3s84lW2Qf0TxHUt1u01hFwgxBiEviq\nEOJarXUm6Y4Q4q+AvwI4sGdHSj33S3B1KqlrLcBHYZbtyV/HOrJakQq0NKySlFlSqUhrlEa52IqG\nn1Fawoj6eotvPTTPgZkS77+uZnLUd8OsLT4Z5yrJh6HbId9bqPDb9RI+is9WF9jdbqG1NmGzoc78\nDutTk+Sv8KQxndi/2BE18CTVqs8dH76cq66a7v3tyTM4Qw54wyx+/4A1+wsE6Ieg9oaVfhrEZq6/\nUTasIjth0X02APnnXlrjGw/O8fqDY9x+687Uu96tPmcnhGYr9ayvt9EnW0aTX1OJJl+vlzkRVXjg\n+gnaZcn4gmLfI4o1FeALTSA1vjIauVewsPKE0XaDWJOXYLZxRjzpKWOvjzV64ZNoEo8H43zbn2GW\nNp8pzTMiC7RuFWvzooi6l71gX2gSydOxDsXv0vn2WlobRsEyCTYXPl7/vjKsFNa47+OE5/Yl7S54\nZLpROQ2zX/jeWRKt9UkhxAPAB8hl13MZg5uuOaBFvWFsx6UATckcNOh5u3b2fiYx2yeUU5PdFnvp\nuVba50R8nbQam4oTGxWwfHZdIGXqKxLbqQUFlP/AiIq4DVHISCD45FsnuWRM4LkMndXqQ5WG0HVC\n6JiaFD9ZqfLzZg2J5lPBPPu6TWM3iRfapg1mIxxtnrzzXfx3vK4ZDzSVsYA7P3olwoJ/v98C2b47\nbFTTsLKR2bPoXqc6bs9DuTCAXgh0UDKDF7KT9/m6inPt8Ll9KM3iUot7f3CEXVMl3v+mHdm89Zau\nt+Un2x3jdFdvJ/b4aLFLuAbtNY9mPWC9UWFJlXjoxlGaVUltWXHpryJ0JAwFLzS+UARSGW09Z2aV\nQuNLRcmPqAYhpVKI5yk8P/4LjNe98MErgygZm6CQgl/ICb4vprmcJp8qzVMuxfZvX6KVRiid5MU3\nDnLWpp+zH7jg6JZ3zdjjVUrJ5zPj5XN7Q1wWN56g3Xj4PLvg9jn7fb5EbdF56QPsnQRtaJm7z0pS\nLhl6PPCLrn2WJC5v241Bvgq8l41s/VpDs4XwPbRlqAbJIPu7lX4gn8wZOnsNu2DOLLZNP9F+PG3K\n3ByTkZhxcVkA2w53a/tpkalHKaJOl+PzTS4ZF7xmp9e7eLcFp5IYeQPwdCJ+uV7lR51xQPMR5rki\nbGRGbVJcSqYRL6LiQ8kz23IQ/5WgXOLlZcWXfrzIwUtH+fgHLjMg7zuMy7B15U/XXHzRRt9XzijQ\nCyH+G/Bh4ITW+tqC7wXwt5h61w3gz7XWjwx18WG0YyX6282KYl5P1et+kGY/hFbfz+eg3ery5e8e\nxpNwx207KekIYScu17O+3jQgX28bLX61jVrrEq0pWvOSVj2g3iix3i5xUpX45Y1VGqOS8qpm38Ma\nwhTkS1JR9iJKnuqx0ZufqCl5EdVyl3I5pFQNkZ7GK+sknE6U4uQ4cVidDanboSOuVevcXlo02e5c\nr3et0aFCdOIJWYps2Vi7L/+/qy27DnhuwRz7TOPiNjp0JnX7XRFdnweF/Hu1tG9+sQm99l3bXvud\n/d+tZJf/zs34qFR67EaazNmRPcA/xHZ6Cdyttf7m4FN0UrtiU0xaH3NXz3jP294LWJ4E5PP39xwm\nJ3c/oZTR+jMiAYUbdZn9usinJD4oCrn/Z/P89tk1/sMHZ9gh3YqSaRpbIkPV23TVuhPxeKPM/Z0p\nAP5YL3CNWk+bk+97Nqy1ZOLlReDFdvnUNv/0iZB7Hl5icizg3W/enbAU6YMu0NrPZfkD0+rPtEb/\n/wH/GfjHPt//MXBV/HcLJhPXLZu+y+m2pW7WTLCZKlaDQD7+/MAv51la7fKn793NZE1mw+fcynM2\nPn6tFYN8SLis6KxJ1k5WWG+VaHQCVqISv72hTH1S4tc1sz/V6LYgiml4aR3rhMYTisAzHvXuMPGk\nwvcUQRAlGrzwYpAvkc1n7wuUJ3iVKpfJNlfR5CqvaZwqtTZgHHveC0g/J975IvWITzLHOWDvasfu\nc8073iXavTKOSc57yoQA2ufvlrO1+wZpy3ktLU/Lu5/d74pCkzL73ZvkQs/ca/W058xPbFrrx4Ab\nN31isgDr85vySXQKFlzWkS1Z3CdavWMKStieFKwzHuz2OxkDNqlmn/uh5jtbKjgucJXWZbdtjdmh\nKHt6qhWnmsivf3+SR55Z49ZDI+woaWiG0G6bRbytKOnQ9HQMyD/dKvP10NjN3xkuckO4ajR5Eeet\nQGfzV9i6EhbkK7EmHwQQ+PzmqOKbj9bZM13mzj/eR3WimvbNQaxTXra7/212Hv4DA3dXzijQa60f\nFEJcNuCQjwL/GIfk/FwIMSmE2KO1Pjb4whvceKsveDPnDXvsMDYld38mRMwc984bJrlytsxlO4O0\n9GQYGnC34XPNtvGsX2ub0LmVkO6yprXis75eZnG9xlonYC3yefrGgPWdAtnSTP5E0K4LIqGNDxqC\nQJoQOuVAn4QkzC71ro8SW7zwDE2f/HkiyYDX9ST3spsXogr/g3+UaRlu/Nxcr3hXq0/A3z5HR3Xq\nFylhc+kn2pZAgCnmUfgerNNejnUZ9L7thJ1PxuOmtC0C+eS43DnDUJ/D2EjPF4lizRU2Pw7J5dFQ\nyoCZciJzcoxLBuDziwG3DXbGtACXj6JxRcqEGdDuok0510gbntm+fKzJ/Q8vcnBPmXdeXUkjZyzI\nN9smNNYBeELFS+0S90Y70QjeEi5zS2c5mR6FzVEhHZAPvMTxLvGydzT6lvb44ZMNrpgt86n37qM0\nUnYWL0OA/B8osJ5rcq7Z6C/B1L62cjje1wP0GS/d/TP9rzjsqm8ztH2/8zYrBQ5EPck6HJrx8IkW\nuyd9ylLzml1+NjY+jIzNzpaZrbdQiw1D1S9HtJcl9ZUya/UKJ9tlTjQrrIWSwzdKmrMC2hA8IFg/\nKfAklKQg0hopoK2MI57WUVKwxooF+TQTnkb6NhteFuRFSdAQHndHuzmqS3ywvMx04IIzGfo98fyV\nAuGlnzM0vT3H1ejz2r7Ngx868fBAUtgGQOmsBu+aEOyfGAJs7XcqyoG9I0XXGcYuv9F985ID+F5a\n+VwV1/GwwByxqVwVZiEodB+v9yKQdyNXcscaj3vbtgKQz3+2jnhKbaCPpG1ba4Tc86MTTI36fOKW\ncWTkjPNuaMDeLSEdKnRXcbTrc3e0i0hIbgxXuK2ziE1IJexiWGIqRMZUvfCl2Xoy1eRLfpz1zqdS\nCfjzd+9kYqqGV+6Tt367HewuyrbLuQb0Q0vGS/fGq3rH0GZpne2QzWj1g9pXAPJzC03++f5jXHf5\nCB9+43hBDutYi7dOd2tt1HKHcFnRWpasr1ZYaVRYbpVZ6pQ40fZZuE7QOQB0IfyhIFwQSAElbUAv\niJnnTMRZnBQnSYgjDbj7XoQfO97JQKWUfWAAXpQkq9Lnrs5ulrXPp2pLvLbSpjA/a0LPSzMBxZ8z\nAF4Uk+vL7PmQDWZ2k97YmHjhmEbyVLvvxbSmRw/o2/vYe5uLkEzYNktfkYNcjybvLGD6HZu5D72/\nP19sICfnD8iT4vwwY7ifIx44GrtxWky0/H6sWo95p2CRYftOv3b0mA1T04OIouTd6H5RIcCIr7nx\nihqvv7RMReh0rNscGO0Y5Bvd2CavOBH6fIlZOkJyTbjG+1rzmLBV8zg1OjadicQJLwH5wDNjJ9bk\nI8/nvucFk6MR77reZ8dYGeK89dqJIjinmKKzMd+fR3KuAf0RYL/z/75433DiUt32f4hpOrKr8UHX\ncCfFov8HnZN3vMofV/S/Kkr2k4J8o9Hl7h8cpxJI/uiakWwinFYn9axfa0Kjg1pro1Y6dE4omid9\n1lYrLDerLLfLLHUCljsec68BfZVJh9/4AXTnTHicqRkj0I7+4Qti+7wB9iC2xwsZa/NS43kKP1D4\nJQPyskKixYuKh/AEj6sx1vD4k4klLi13yVSccyUG8lSjl2lN+qLnas+x37kg724t+FrKHtI2WO3e\n7T+eTK9nJ7h8Pv0e7SbnLFeUwa/Iwc7KMPbOogm2z6R7XgF8Is5iajOMXL/9eUfbvGhnQdAzRp19\nbu4In/S69ji3Hcl94/NsPH3cBuHcx4K+1pp2K6Jalrz7+rE0613C2qnYB8fQ9RbklzseX5J7aAqP\nK8M6H2wcNyCv4nUuuaEgRC9T5puCTR0t+MozgudXNO+acvxd8iyalXNVm9/IX+UPTM41oP868DdC\niC9hnPBWNrTPx1IYhganmJrqFGUYDb9w4ZDahKMw4p4HjrPejPjzd00zWiIe5LEm32wlNrvU6a5L\nuKioL5Y4uVpluVVhsVVmoeOz3PE4eYWG68yjWfoBtF4hputNqnlBrNFLTdkzHvclGVHxIyp+SBBE\nBLE9XghTwMY64HllbcLnyjFdX/FQJQ+/7PE2r8W1ustUoBHS6Xo9scWOw51NW2y16n7iOuJZ+3d+\n8WWLzEjRC+pgFk/u2sMtTes7pWr7TW4JoMR2+UHvPw/y20nZx9ID8ufLpCeFSbdqY7Q3O4akNJ7o\nef8I9/ukLzjvyYc0R0Ls+e+adyA1EbnXMo1IF3iD3rv9zkmsZUH/p0+u8Ytn6vzFe3YyXrIx9E6y\nq47xuteRKSWtFaxrj7vkHtaEz37V5GOdOXwH3G2eCsOsSRMnX/KM451rk/c9GsLni88GHFuH268t\nc+NVY2n4nKvJZ343G7+fs9Hvzpe+fobkTIfX3QX8EbBTCHEY+E+Y3Ndorf8f4NuY0LrnMOF1/92W\nbxZrw6d0/mY6yyk44/W1yyvFD3+5yMvH23zslgkumZDZRBmuZ/16G73cJDoZ0j2paS75LJwcYb5R\nZb5dYrHjs9QRrB3QlG8ytzv+gGL9OWOTrwijyQdSUJaaiqepSE3Vi6j5ITU/pBp0qZS7iWe9LVhj\nS9DKQONVQVYFsmI0hef9Ef61PsnnaitMV2BHhvp2JwuHDs/b24ts5EXi2u8z78Jznq3V9mPveWtD\n70fdF1L2A9qRB/v8Oy/8zWdgUjqfJj4hDdBLaTLjwabbr4U0eefzImM2R0rs9KfBsGoiXtRZ2t72\nB/f9+c7iI+/5L4nPKzJHDdZ8nz3a4gePrvG6/RXGykCksxnvumGqzcf5HppacpfaxbIImNVtPq3n\nKJeF0eQd8krI1HxG2TfV6AJbetbQ9aH0+IcnfZbbcMfrA67eXzG/VYjkN+s82A+SM93fBphCLsqZ\n97q/c4PvNfDXW7jyEIdsUyfYjg5VZCcsoOxRmusvqzISwPV7gzRG3g2xWWuaynOrbcL5Lp2T0Fgu\ncXK1xitro5xoB8y3PRbbgtZexfhbjNXu8I8jFn+nDbALiRACT0BJaioe1DxNzVfUYqCvBiHlUkip\nFBGUQ6SPKUkrdeJ0Zyj7uLRl2eNxNco36lPsCiLK5ZgyyNjPC+zPeXBPtLoCG3aennO1+cxxOp7A\nVXbiVprMIiBfFMZez2rzQsYajtOWfMY6tz2ueaAoW13e5t6P0h9km78QRQh0uRxr2d5wv78IWHQM\n6oU1B2R6jA+EDgOiFHhe1knPniNE1oM+Pl4kCYw2ALiC9i+shtz7s2VmJ30+ctN4Gr5nzXPWNt9K\nbfPtjubLnV2coMwOOnzWm6MamxPyd7AhdKLkQQLyfsa73vc8brlEMj0RcOlMKRl32vdTbX6YZz5o\n/3bLZufi82mxu81yrlH32yd5m3dmEG9Aqw2SzYK8ayMs+C51EHImI62or3UYKQtmxz1ma5VUi+92\n49KysSa/3DSZ7lZCmsdNfPzSepUTzSov1sucaEvmW5rOTMSed5rV/Us/7/DKI13KwgN8yp5RRkpS\nUPE0VU9T8wzIV7yIsh9RjrPdBeUQv5zWlhcShAX6kkgowp9H43y/Pcll5Q6fmV2nXPFTm7eVnsQd\nOfrdpcvzAG7B25UiWl2pVNNK6NoYeO1+a7NPspfF7ypvAiB3vKVg+4n73geZHfrWtodtAfnzbYKT\nAqpVAHRQSrXn5HuZYb0K6XKlUq2+xzQUvz8shU9M22cXatpe301elLdVx+ckIWwF43yQn0Sro/jy\nQ0t4UnDH26YIfJEmdQrjBDnWAS8uQtVtRdwT7eaIqDCuu3xOzDHiaePT4uXa50avWLAv+RD44Ete\nbft0uj5X7pC84UCQFq/xPbRrOsnY6uXmFlxnSjYD/OfbmDhFuXCBPgltyr3QjWjXjWRQZ+q3UNiM\nQ5FSrNZD/t9vHOHmgyPcdnUlLfARl5x0E+FEy22ilYjOkmB5ocaJ+ggnmhWOtQJeqgsWWor2VMgV\nH/CQnuDl3zR5+mdNqpTxhKTkSSqeYCQw3r4jvmbUV4z4ESMOZW9APjIgH2e7A5J89UZrAHzBI2qU\n73cnOVRu8fGZdfwe23aRTb5AK080+gKHoLyW1pcG91KQd73tE9reeuK7NG0+K11+4TEG3W+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RED8g3JK/UWR5hn940d3vjmy1FK8a/f+jUrR6rMRJewxx9nthpwYAR2lyNmyl12VlpMVluMjrSp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\nJoweLrz9o6kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57a6263a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1, 2, figsize=(8,4))\n",
    "\n",
    "X, Y = np.meshgrid(photoz_zgrid, photoz_zgrid)\n",
    "\n",
    "Ax[0].pcolormesh(X, Y, pz2d_gal, cmap='magma_r', \n",
    "                 vmin=0, vmax=np.percentile(pz2d_gal, 99.9))\n",
    "\n",
    "#             extent=[photoz_zgrid.min(), photoz_zgrid.max(), \n",
    "#             photoz_zgrid.min(), photoz_zgrid.max()], \n",
    "\n",
    "Ax[1].pcolormesh(X, Y, pz2d_agn, cmap='magma_r', \n",
    "             vmin=0, vmax=np.percentile(pz2d_agn, 99.9))\n",
    "\n",
    "Ax[0].set_title('Galaxies')\n",
    "Ax[1].set_title('AGN')\n",
    "\n",
    "Ax[0].set_xlim([0, 2.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 2.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "\n",
    "Ax[1].set_xlim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "Ax[1].set_ylim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "\n",
    "\n",
    "for ax in Ax:\n",
    "    ax.set_xlabel('$z_{spec}$', size=12)\n",
    "    ax.set_ylabel('$z_{phot}$', size=12)\n",
    "\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid, color='0.5', lw=2)\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid + 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid - 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    \n",
    "Fig.savefig('plots/dmu24_XMM-LSS_specz_vs_photz_pz.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Photo-z Statistics\n",
    "\n",
    "Metrics for photometric redshift precision and accuracy are defined as in Duncan et al. (2018a, and references therein).\n",
    "\n",
    "| Metric | | Definition |\n",
    "|----------------|-------------|----------------------|\n",
    "|$\\sigma_{f}$ | Scatter - all galaxies | $\\text{rms}(\\Delta z / (1+z_{\\text{spec}}))$ |\n",
    "|$\\sigma_{\\text{NMAD}}$ | Normalised median absolute deviation | $1.48 \\times \\text{median} ( \\left | \\Delta z \\right | / (1+z_{\\text{spec}}))$ |\n",
    "|Bias | | $\\text{median} (\\Delta z )$|\n",
    "|O$_{f}$ | Outlier fraction | Outliers defined as $\\left | \\Delta z \\right | / (1+z_{\\text{spec}}) > 0.2$ |\n",
    "|$\\sigma_{\\text{O}_{f}}$ | Scatter excluding O$_{f}$ outliers |  $ \\text{rms}[\\Delta z / (1+z_{\\text{spec}})]$ |\n",
    "|$\\overline{\\rm{CRPS}}$ | Mean continuous ranked probability score | $\\overline{\\rm{CRPS}} = \\frac{1}{N} \\sum_{i=1}^{N} \\int_{-\\infty}^{+\\infty} [ \\rm{CDF}_{i}(z) -  \\rm{CDF}_{z_{s},i}(z)]^{2} dz$ |\n",
    "\n",
    "\n",
    "#### Quality statistics as a function of redshift\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 15)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_agn],99)), 10)\n",
    "\n",
    "gal_z_bins = 0.5*(gal_z_binedges[:-1] + gal_z_binedges[1:])\n",
    "agn_z_bins = 0.5*(agn_z_binedges[:-1] + agn_z_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_z = []\n",
    "galaxy_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(gal_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < gal_z_binedges[i+1])\n",
    "    galaxy_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_gal*zcut], z_spec[zs_gal*zcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal*zcut,:]\n",
    "    zs = z_spec[zs_gal*zcut]\n",
    "    galaxy_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_z = np.array(galaxy_statistics_vs_z)\n",
    "    \n",
    "agn_statistics_vs_z = []\n",
    "agn_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(agn_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < agn_z_binedges[i+1])\n",
    "    agn_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_agn*zcut], z_spec[zs_agn*zcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn*zcut,:]\n",
    "    zs = z_spec[zs_agn*zcut]\n",
    "    agn_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_z = np.array(agn_statistics_vs_z)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Y0yNeBbCqvgkgIlnA/4d7Togfq+pyP9ZmjDEhzdsz4WYA93vWf0RVP/NrVcYY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\nNAErpZRFNAErpZRF/h/zoS8VpUw9yQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57aa824b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_z_bins, galaxy_statistics_vs_z[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_z_bins, agn_statistics_vs_z[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_z_bins, galaxy_statistics_vs_z[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_z_bins, agn_statistics_vs_z[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_z_bins, galaxy_crps_vs_z, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_z_bins, agn_crps_vs_z, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='lower right', frameon=False)\n",
    "\n",
    "Ax[2].set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Ax[2].set_xlabel('$z_{spec}$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Tw.set_xlabel('$z_{spec}$', size=12)\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[0].set_ylim([0.001,1])\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[1].set_ylim([0.001,1])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_stats_vs_z.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Quality as a function of optical magnitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n",
    "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.]), num=15)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.]), num=10)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_mag = []\n",
    "galaxy_crps_vs_mag = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    galaxy_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_gal_mag*mcut], z_spec[zs_gal_mag*mcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal_mag*mcut,:]\n",
    "    zs = z_spec[zs_gal_mag*mcut]\n",
    "    galaxy_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_mag = np.array(galaxy_statistics_vs_mag)\n",
    "\n",
    "agn_statistics_vs_mag = []\n",
    "agn_crps_vs_mag = []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    agn_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_agn_mag*mcut], z_spec[zs_agn_mag*mcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn_mag*mcut,:]\n",
    "    zs = z_spec[zs_agn_mag*mcut]\n",
    "    agn_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_mag = np.array(agn_statistics_vs_mag)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GT0su/bzzmHH77SQUF1tcXXBxuty8tHE/f3mnjI4eBzaBSxblcu2KYhJDYCYzXxhxF8Rx\nlkUCV/qwlpBnXC6qnn2WmpdfJi4vj7QzzyR12TLCExKsLk2dhDGG2n/+kz2/+hWd+/cDkDR/PjO/\n8x3Sli2zuLrgs768njVv7OZAQwcA8/NTueGCWeSn6+/6QKc0GY+IFOEJ3YuATcC/jDFP+6k2nwiG\nyXiMMRx+91123XMP7SUlg1fabCSddhppZ5xB2plnkrxoEWHR0dYUqo6r4cMP2X3PPbRs2wZAbH4+\nM++4gymf+pSObBjA5TbsrGri7x/s5ePywwBkJMew+oKZnFGUPqG+VyOdjGdEASwiPwBWAHuAp4Af\nGGNWjrXIQLA6gFt37mTXPff0D0uKzsyk4IYb6G1ooGHdOpq3bME4HP3b2yIiSF6wwBPIZ5xB0rx5\n2MLDrSq/n9vppHPfPtpKSmjbs4f2sjJsYWHEFxURX1hIfFERsVOnBkWtvtK2Zw+7772X+nfeASBy\n0iSKvvENcq+4IqSOcyyMMZTUtPL2zhre3VVDY7tnVGpMZBhXn1PAZUvyQvYy4hPxdQC/D1QD/wu8\nBjxnjLlozFUGgFUB3FVTQ8l991H9/PNgDOEJCRTedBN5116LfcAcxc6uLpo2bKDhgw9oWLeO1p07\nYcDPxB4TQ+qSJaSdeSZpZ5xBwsyZiB8HqBtj6D182BOyJSWewC0poaO8HHdf3wnfa4uIIDY/n4Si\nIk8we8M5JifHrzX7WtfBg5Tcf3//zy4sLo7pq1cz7StfISwmxurygsK+ujbe3lnDO7tqqW3u6l8+\nJSmac2dn8pml+STHTdy5uH0awN4dZgOfBz6F5+TbrXi6IJrHUqi/BTqAHW1tlP3ud+x7/HHcfX1I\neDj5X/wihTfdRERy8knf39fSQuNHH9Gwbh0N69bRUV4+aH14UhJpp5/eH8ix+fmj/tPO2dVFe1mZ\nJ2j37OkPW0fz8X+k0dnZJMyY4QnY4mKMy0V7aannUVZGV1XVcd9nj44mrqDA8z5vazm+qIioKVOC\n6s/SvuZmyn73Oyr/8pf+n13eNddQeNNNRKamWl2e5Q42dfLOzhre3lnD/sMd/ctT4iJZPiuDT5yW\nSXFmUlD9TK3i8wAesvMsPGH8WWPMuaOob1REZBrwfSDRGPP5kbwnUAHs6u1l/1//Sulvf4ujpQWA\nrFWrmPHtbxOTkzPq/fbU1dHw4YeeFvIHH9BdUzNofdSUKYMCOfo4Q6CMy0XngQO0lZT0h217SQmd\nBw4Mam0fEZ6QQHxxMQkzZhBfVERCcTHxRUWEx594oLyzs5P28vL+QD4Szj11dcfdPiw+vj+QB4Zz\nZFraKXyHxs7Z3c2+xx+n/Pe/x9nhCZasyy5jxre+NaafXSg43NbNu7tqeXtnDaU1rf3L46PDOWdm\nBufOzmBObip2m4buQH4N4NEQkceAS4B6Y8xpA5avBH4N2IFHjDG/GMG+/hEsAWyMoebll9nzq1/1\ntwBTly1j1p13kjR3rs8/q+vAAU/r2Ntl0dfUNGib2Lw8T8s4L88ThiUltJWW4u7pOWZ/Eh5O3LRp\nJAwJ26iMDJ+2YvpaWwcFcntpKW2lpcO2tCNSUjxhXFhIWHw8YrdjCwsDmw1bWBhitx99eF/b7Hbw\nfpXjbWOzIWFhR9d7X7ds20bpQw/1/ycx6ZxzmHnHHRP6Zpgtnb38e/ch3tlZw44DTRxJiOgIO2cW\nT2HF7EwWTEsjfIKP4T0RX/cB3zTcOmPMf4+woOVAB/DnIwEsInagFLgATx/zeuAqPGF895BdfNUY\nU+99X1AEcOPHH7Pr7rv7z47HFRQw67vfZfInPhGQP8OMMbSXlvaHceNHH/W34IaKmjLF031QXEy8\n92tcfr5ld2EwxtDX2OhplQ8M57KyYY/BnxJnz2bmd7/LpLPOCvhnB4uNew/zzEf72FTRgNubC+F2\nG8sKJ7NidiZLCycTGT7xTqiNhq8DuAlPUD4DHMJzEQYAxpg/nUJRecBLAwL4DOBHxpgLva+/593n\n0PAduh9LA7i9vJzd995L3ZtvAp6z48W33krO5z/vaalZxO100rpjBw0ffEBPfT1x06f3t2zHyyxc\nxhh6amtpKy2lo6ICV3c3xuU6+nA6MW635+uA5e5hlg/c3n2c99ujo8m/9loyL754XJ0o9KXOXgdr\n3tjNq5s9f8HZbcLCaWmsmJ3JGcXpxEbqiI9T5et7wqUDnwQ+A5wOvA38wxhTc6I3jUAWMPDMTTUw\n7Kh2EUkFfgYsEJHvDRfUIrIaWA0Q4cMWXs/hw5Q8+CAH1q4Ftxt7TAwFq1cz7brrguLsuC0sjOT5\n80meP9/qUkZNRIjOzCQ6M5P0FSusLifkbdnXwH0vbqO+tZtwu41rlhdy0cJcvVItQEYUwMYYB/BP\n4J/eroQHgGl4RkIEjDGmEbhhBNutAdaApwU81s91dnay95FH2PvII7i6uhC7ndyrr6b4m98M+Akj\npXyhx+HisTf38Pz6SgAKMxK547J5TJ2AM5JZaaTzAZ8LfBbIBdYBVxpj9vrg8w8CA08zZ3uXBQW3\n0+m57v/Xvz563f8nP8nM73yH+OnTLa5OqdHZWdXEfS9s42BTJ3abcM05hfzHWdMn/MQ4VhhpF8S/\ngA3AfjzzQiw+cpLJGDOW+SDWA4Uiko8neL8AXD2G/fUTkVXAqsjIUx8Mboyh7s032X3vvXTs9fw/\nkzR/PrPuvJPUJcebFkOp4NfndPHnt0t5+sMK3AbyJsVzx2XzKMgYH+cHQtFIT8JNHW6dMWb/iD5I\n5Ek8lzOnAXXAXcaYR0XkIuBBPCMfHjPG/Gwk+xupUz0J17x1K7t+8QuaPv4YgJjcXGbefjsZF12k\nA8zVuFVW28ovn9/C/sMd2ASuOGM6/3lu4YS8TDgQfD0K4ofDrTPG/OQUawuoUwngmldfZePXvw5A\neHIyRTffTN7VV1s2VEupsXK63Dz5XjlPvleOy23ITonl9svmMTP75FdlqtHz9SiIjQOeGyAT+AZg\nw3NbopAweflyYnJzyfz0pym44QadJlKNa5X17fzy+S2UH2oD4PKleXzlvBlE6VjeoHGq01EWAncA\n04EHjTEv+quwsRrQB3x9z3GuAhuOu69PW7xqXHO5DU9/WMGf3y7F4XKTnhTNt1fNY16ezmcRKL7u\nglgMfAdPi/lXxpgPxl5iYFg9HaVSgVTd2MGvXtjK7mrPfCQXLczl+k/OJCbSuguEJiJfB7Ab2AXs\nBga9YYyjIPxOA1hNBG5jeHF9JY++uYdep5u0+ChuvWQOSwom7g0vreSTPmAR2QJcDuT7qjCllG+1\ndPbyi2e3sHmfZ6z6+XOyuPHC2cRH6yXEwe5kf5fMBX4FpOCZA+Il4G/GmKC/G/JYxgErNV7sPdTK\nj9dupK61m8SYCL558RzOmjHF6rLUCJ2wC8Lb9fB/eCbhScYzF4QbuMgY0zTsG4OIdkGoUPX2jhru\nf3ErvU43M7KS+OEVi0iNj7K6LIWP+oBFpA/P5OfdA5b9AphsjPmqTyr1Mw1gFWpcbsMf39rD39dV\nAPCpedncctFpelFFEPHVOOCDeFq+3QOW/QjwxTwQSqlT1N7t4O5nN7Nx72FsItxw4SwuXTxVr9Ic\np04WwH8F/iEi/2mMqfAuK/JzTUqp46isb+dHazdQ29xFYkwE3//cQh3bO86dLIDv8m6zQ0T2As3A\nQjxz8gY1PQmnQskHew5x7/Nb6O5zUTAlgR9esYj0JOvnoFZjM9JxwHHAcmASsMMYs/Ekbwka2ges\nxjO3MTzxbhn/+24ZACtmZ/KtVXP1cuIg59O5IIwxHcArY65KKTVinb0O7n1uKx+W1mET+Or5M/j8\n6dO0vzeE6PWJSgWh6sYOfrx2IwcaOoiLCuN7n13I4umTrC5L+ZgGsFJBZn15PXc/s5nOXidTJ8Vx\n15WLyUo56V+zahzSAFYqSBhjWPvBXv74VgkGOKs4ndsvm68T6YSwkP3J6igINZ709Dm578VtvLur\nFoBrzy3iqnMKsGl/b0g7pfmAxyMdBaGC3aHmLn60dgP76tuJiQjjO5fP54zidKvLUmPg6ztiKKV8\nzBjD2ztrePjVnbR3O8hKieVHVy4iV28NP2FoACtlgYa2Hn7zynY+LKsHYGnBJL77mQXERekUkhOJ\nBrBSAWSM4dUtVax5YzddvU5iIsNYfcFMVs7P0fG9E5AGsFIBUtvcxYMvb2PLvkYATi+czC0XzSEt\nQaeQnKg0gJXyM5fb8ML6Sv74rxJ6HS4SYyK48cJZrJidqa3eCS5kA1iHoalgcOBwO/e/tK3/Jpkr\nZmdy44WzSIrV30ulw9CU8guny83f11XwxLtlOFxuUuIi+cZFc3R42QShw9CUskh5bSv3v7iNvXVt\nAKycn8P1F8zUEQ7qGBrASvlIn9PFE++WsfaDCtzGkJ4Uza0Xz2XhtDSrS1NBSgNYnVRLZy/PfVzJ\nG1ursduFyQnRTE48ziMhiqiIifkrtau6mftf2EpVYycCXL40jy9/opjoCfr9UCOjvx1qWPWt3Tz9\nYQX/3HSAXqe7f3ldS/ew70mMiWBSQhTpidFMSozu/zrZ+zwxJiKkzvz39Dn5479KeP7jSgyQnRrL\nbavmMjsnxerS1DigJ+HUMaoaOlj7wV7e2n4Qp9vz+7G0cDJXnjmdlNhI6tu6qW/1POpauzns/drQ\n1oPD5T7hviPCbKQnRpOREktmcgyZyTFkJMeSkRxDelJ00N/Z120MtU1dlNa2UFrTyvt7DlHX2o1N\nhCvPnMY1ywuD/hiU//nktvShQAN45MpqW/nb++W8t/sQBrAJLJ+VyX+cNZ1p6Qknfb/bGJo7ejnc\n1k1dS/eAoO7pD+yOHsew77cJTEqIJiM5xvuIJTPlaEgHelpGYwyH23ooqfGEbWltC2U1rXT2Ogdt\nNz09gdtWzaUgIzGg9angpQHspQF8YsYYth9o4qn397Jx72EAwu02LpiXzefPmObzicA7ex0cau6m\ntrmT2uYuapq7qPE+P9zajfsEv46JMRHeQI5lUkIUibGRJESHkxgTQUJMBAnRESTEhBMTETaqbo6m\njh5P0Na0UlbbQklNK61dfcdslxIXSVFmEkUZiRRnJTE/L5Uwu+2UP0+FrgkfwAMuxLi+p6fH6nKC\njjGGj8rqeer98v6LBKLC7Vy8KJfPnT6N1PjAXx7rcLmpa+nqD+ba5i5qmjzhXNvcddLujSPCbDIo\nkBNjIoiPjhgQ1J5lAOWH2iitaaG0tpWGtmN/TxKiwynMTKI4I5HCzESKM5Ms+d6o8WXCB/AR2gIe\nzOV28+6uWv72/l721bcDEB8dzuVL8rh0SR4J3mAKNm5jaGjr8YZxJw1tPbR1O2jt6qO9u4/Wrj7a\nuh20dfXR43CN6jNiIsMozEikKCOxv4WbnhQdUicNVWBoAHtpAHv0OV28sbWav6+roLa5C4DU+Eg+\nd/o0LlqYG1LDpXodLtq6+2jrctDmDWdPSDuOhnVXHw6Xm2npCf2Bm5Uaq3egUD6hV8JNcH1OF/vq\n2ymt8fRlbtx7mKaOXgAyU2K48szpnD8nKyTP2EeG25kUHs2khGirS1HqhDSAQ4DLbahq6PCerfec\nsd9X335Mn2n+5Hi+cHYB58zMwG7Tlp5SVtMAHmeMMRxq6R4UtmW1rcf0ewqQkxpLUWYSxZmJFGcl\nU5yZqP2ZSgURDeAg19h+ZGhUCyW1rZTVtNDWfexY2vTEaIoyvSePMhMpzEgkNlInf1EqmGkAB7nv\n/OVDqhsHn0RMjImgeEDYFmcm6fyySo1DGsBBbn5eKilxkRRnJlHsDdzJiTo0SqlQoMPQlFLKx0Y6\nDE2vn1RKKYtoACullEU0gJVSyiIhexJO74qslAp2ehJOKaV8TE/CKaVUkNMAVkopi2gAK6WURTSA\nlVLKIhrASillEQ1gpZSyiAawUkpZRANYKaUsogGslFIW0QBWSimLaAArpZRFNICVUsoiGsBKKWUR\nDWCllLKIBrBSSllEA1gppSyiAayUUhYZV7ckEpHLgYuBBOBRY8zrFpeklFKjFrAWsIg8JiL1IrJj\nyPKVIlIiIuUicueJ9mGMec4Ycz1wA/Af/qxXKaX8LWD3hBOR5UAH8GdjzGneZXagFLgAqAbWA1cB\nduDuIbv3yDNSAAAgAElEQVT4qjGm3vu++4AnjDGbTva5ek84pVSgjfSecAHrgjDGvCsieUMWLwXK\njTEVACLyFHCZMeZu4JKh+xARAX4B/PNE4Ssiq4HVRz5aRLpHWGYY4BzhtuOdHmto0mMNDtEj2cjq\nPuAsoGrA62pg2Qm2vwX4JJAoIgXGmN8fbyNjzBpgzakWIyIbjDGLT/V945Eea2jSYx1frA7gU2KM\neQh4yOo6lFLKF6wehnYQyBnwOtu7TCmlQp7VAbweKBSRfBGJAL4AvGBhPafcbTGO6bGGJj3WcSSQ\noyCeBFYAaUAdcJcx5lERuQh4EM/Ih8eMMT8LSEFKKWWxgAWwUkqpwazuglBKqQlLA1gppSyiAayU\nUhbRAFZKKYtoACullEU0gJVSyiIawEopZRENYKWUsogGsFJKWUQDWCmlLKIBrJRSFtEAVkopi2gA\nK6WURTSAlVLKIuPqlkQiEgv8N9AHvG2MecLikpRSatQsbwGLyGMiUi8iO4YsXykiJSJSLiJ3ehd/\nFviHMeZ64NKAF6uUUj5keQADjwMrBy4QETvwMPBpYBZwlYjMwnPPuCN3UXYFsEallPI5ywPYGPMu\n0DRk8VKg3BhTYYzpA54CLsNz2/ps7zaW166UUmMRrH3AWRxt6YIneJfhuSX9b0XkYuDF4d4sIquB\n1QCxsbGLZsyY4cdSlVJqsI0bNzYYYyadbLtgDeDjMsZ0Al8ZwXZrRKQWWJWRkbFow4YN/i9OKaW8\nRGT/SLYL1j/jDwI5A15ne5eNmDHmRWPM6sTERJ8WppRSvhKsAbweKBSRfBGJAL4AvHAqOxCRVSKy\nprW11S8FKqXUWFkewCLyJLAOKBaRahG5zhjjBG4GXgN2A2uNMTtPZb/aAlZKjYUxhgOH23lr+yn9\n8X1KLO8DNsZcNczyV4BXRrtfEVkFrCooKBjtLpRSE0xjew+b9zX0PxrbexFgccEkEqIjfP55lgew\nvxhjXgReXLx48fVW16KUCk6dvQ62729i874GNlU0cKChY9D65NhIFuSn0t3r1ABWSqmxcLjc7DnY\nwuYKTwt3z8EW3Mb0r48KtzN3agoL8tNYkJ9G3uR4RMRv9YRsAGsXhFLKGMP+wx1s8nYpbKtspMdx\n9CJamwizspM9gTstjRlZSYTbA3dqLGQDWLsg1ERhjME4nbj7+gY9XENeD3r09p58myH7yr7sMjIu\nvNDqwz2p+tZuNu9rYMu+Bjbva6S5s3fQ+ty0OBZO87Rw50xNITYy3KJKQziAlQpVfS0tNG/eTPOm\nTZ6v27bh6uz0++cmzpoVlAHc1t3H1spGb+g2crBp8PciJS6yP3AX5KeRGh9lUaXHCtkA1i4IFQqM\n201HeTlNR8J282Y69u49Zjux27FFRJzwYT/JeltEBPbIyGHXxRcVWfAdOFaPw8XOA54TZ1sqGymv\nbcUMWB8TGcbcqaksyE9lfl4aUyfF+bUfdyxCNoC1C0KNR472dlq2bvUE7qZNNG/ZgrO9fdA2tshI\nkubMIXnBApIXLiRl4UIi09Isqtj/XG43pTWt/UPDdle34HC5+9eH223MzE7qb+EWZSZit1l+icOI\nhGwAKxXsjDF0VlbSvHEjTd4uhfayMjBm0HZRGRmkeMM2eeFCEmfOxBbh+yFRwcIYw4GGDrbsa2DT\nvka27W+kq9fZv16AwoxE5uelsmBaGrNzUogKt1tX8BiEbAAHYxeEMQZXdzfuvj7CExOD9s8i5R/O\nri5atm7t70po2rwZR3PzoG0kPJzE2bNJWbjQ08JdsIDojAyLKg4MYwyHWrrZUunpw91aeeyJs6yU\nWE+XQn4a8/JS/TIm1wohG8Bj7YJwO524urtxdnbi6urC2dmJs6ur//mwy4Y8d3m3ObLdkdaNLSqK\n2JwcYnJzicnNJfbI16lTicnKCukWTqhzO530HDpE14EDdFZV0bZ7N02bNtG+Zw/GNfg+ApGTJpG8\nYEF/4CbOmYM9MtKiygOnoa3HE7iVjWyrbKSutXvQ+pS4SObneQJ3QX4akxOjLarUv0I2gEejZccO\nPvrKV3B2duLu7T35G0bBFhWFLSwMZ0cH7WVlnj85hxIhOiPjaDBPner5mpND7NSphCck+KW2kTAu\nF87OThwdHYjNRnhCAvbo6AnVmjfG4Ghtpauqqv/ReeBA//PumhqM03nM+8RuJ3H27P6uhJQFC4jO\nzp4Q37uWzl627W9iS2UDW/c1Uj1kpEJ8dDjzpqYyPz+VeXlp5KTGTojviwbwALawMPqavDfnsNkI\ni4khLDYWe0wMYTEx2GNjPcsGPLcf2SY6mrChy7xf+5fFxCB2T1+Vo72dzv37Pf9oDxzwPD9wgM4D\nB+iuraW7pobumhoaP/zwmDrDk5L6W8xHQvlIWEelpyPHOQFhjMHd14ezvR1He/vRrx0dg54fWdf/\nvKMDh3cbZ0cHzo6OY/YtYWGEJyQQHh9PWEKC57n3dXhCwuBlx1kejAHu7uuj6+DBQSHbVVVFp/fn\nNfTE2FBR6enE5OQQk5ND3PTpJC9YQNLcuYTFxAToCKzV0eO5xHdLZQNbKxvZVz/4+xUdYWfO1FRP\nKzcvlfz0BGxB9jsQCGKGdPiHmsWLF5uRTsjudjhwtLURFhuLLTLSslDo/8fvDeShX909PcO+1xYR\nQUxODhGpqZ4ukgFhahwOn9QXFhdHWFwcxu3G0dZ2wnpG4kQBbouIQOx2JCzMM9QqLKz/uYSFYTuy\nbuD6I+sGbnucZbawMNwOR//3emDQdtfWHnMybCB7bKynC2noIzeXmKws7FHBM9bUn4wxHG7r4UBD\nh+dxuJ29h9ooP9SKe8C3LyLMxqycZObnpTE/L5XCjETCAnjFWaCJyEZjzOKTbheqATzgJNz1Zcf7\nM3+cMsbQe/iwJ5C9Lej+cN6//2gL/jgkPNwTcnFx/V/D4uMJP/J14LKB23kf4fHxhMXGHtPCdvf1\n4Whvx9HW5mlNt7Ud8zhmeXs7Tu9zV3f3MBVbyGbzdAPl5PR3/wx8RKSkBF2r3Z9cbkNdSxcHGjrY\nf7iDqoYO9je0U9XQQXffsffHtduEGVlJnsDNT2VGVhIRYeNzpMJoTPgAPuJUWsChwNHeTld1NY7m\n5sFhGh8ftCd3ThTgxunE7XBgXC6My4Xb6fQ89y7rf+1yHd3uyDKn8+h6pxP3kXXeZW6nE7HZiM7K\nIjYnh+js7P6wjc7MxBZu3SWqVnG43NQ0dXpbsx39Lduqho5BY28HSoyJYOqkOHLS4piaFkfupHhm\nZCURHTFxezhHGsAT9zsUosLj40mcOdPqMk6JLSKCyNRUIlNTrS5lwunqdbLjQBPb9nuGf+2ta8Pl\nPn6jLC0+itxJceSmeR+T4slNiyMxRkfsjJYGsFITSHefk51VzWyt9FzgUFrTOmg6RgEykmMGtGY9\nYZuTGkds1MT7i8DfNICVCmE9Dhe7qprZWtnAtv1NlNS0DGrh2kSYmZXE3KmpzMtLZVZO8oTuOgg0\n/U4rFUJ6HS52H/S0cLdWNlJysAXnoMCFosxE5nkDd3ZOCjGRGgNWCdnvfDBeiqyUPxxo6OD9PYfY\nVHH4mIlqBCiYksC8PE/gnpZr7fy3arCQDWCdDU2FKmMMFXVtvLf7EO/tOTToPmYCTE9PYG5eKvOm\npjJnagpx2ncbtEI2gJUKJW5jKDnYwnt7DvH+nkPUNnf1r4uLCueM4nROL5zM3BCaqGYi0ABWKki5\n3IYdB5p43xu6De1HrzhMjo3kzBnpnDVjCvOmpob0VWWhTANYqSDicLnZWtnIe7tr+aCkjtauvv51\nkxKiOGvGFM6emcGs7GTstolzJV6o0gBWymK9DhcbKw7z3u5DfFRWR0fP0ZnUMpJjONsbusWZOod0\nqNEAVsoCxhhKalp4dXMV7+yspavvaOhOnRTH2TMyOHvmFPInx2vohjANYKUCqLWrjze3H+S1zVVU\nHj46RWNhRiJnz5jCWTOmkJMWZ2GFKpDGVQCLyDTg+0CiMebzVtej1Ei4jWFzRQP/3FzFh6V1/eN0\nE2Mi+OTcLFbOzyF3UrzFVSorBCyAReQx4BKg3hhz2oDlK4FfA3bgEWPML4bbhzGmArhORP7h73qV\nGqu6li5e31rN61urqffecscmsKRgEivn57CsKJ1wHb0woQWyBfw48Fvgz0cWiIgdeBi4AKgG1ovI\nC3jC+O4h7/+qMaY+MKUqNTp9ThfrSup4bUsVmyoaOHIR8JSkaC6cn8MF87KZlBCa9zdTpy5gAWyM\neVdE8oYsXgqUe1u2iMhTwGXGmLvxtJZHRURWA6sBcnNzR7ubkHCopYt1JXVUHm7nnJkZLJqWpid1\n/KCyvp1Xt1Tx5rZq2ro9dx4Jt9s4a8YUVi7IYV5e6oS85Y46Mav7gLOAqgGvq4Flw20sIqnAz4AF\nIvI9b1AfwxizBlgDngnZfVdu8DPGUH6ojXUldXxQcmjQvbhe3VzF7JxkvrSimHl5OvfuWHT1OjnY\n1ElJTQuvb6mmpKalf9209ARWLsjhE6dl6lVp6oSsDuBTYoxpBG4YybYTaTIep8vNtv1NrCs9xLqS\nOg63Hb1iKjrCzpKCyWQmx/DypgPsrGrmO3/5kPn5qXxpRTGzspMtrDy4OV1u6lq6qWrs4GBTJ9WN\nnVQ3dlDd2ElTx+C7ZsdGhvGJ0zJZuSCXgikJ+leGGhGrA/ggkDPgdbZ32ZiF+mQ8nb0ONpQfZl1p\nHevL6wcN3k+Ji+SM4nTOKEpnXl5q/724rjxrOs9+VMnTH1awZV8jW/Z9wNKCSVy7opjCjESrDsVS\nxhiaOnoHBezBRs/z2pauYe8OEW63kZkSQ05qHGcUp3P2zAyiwifOPc+UbwT0nnDePuCXjoyCEJEw\noBQ4H0/wrgeuNsbs9MFnhdxNORvbe/iwtI4PSurYWtk4aNrB3DRPEJxZPIWizMQT9je2dzt4+sMK\nnv1oHz0Ozw0VzyxO59pzi8hPT/D7cVht/+F23tx+kE0VDRxs7Bx0EcRAAkxOjCYrNZbs1FiyU2LJ\nSo0jOzWWSQnReimwGlbQ3ZRTRJ4EVgBpQB1wlzHmURG5CHgQz8iHx4wxP/Pl547nm3IaYzjQ0OHt\nz60b1M8owKycZE/oFk0hKzX2lPff0tnL39dV8ML6SvqcbgRYPiuD/zy3iNwQuxigqaOHt3fU8Ob2\ng5Qfahu0Lj463BuwcYPCNjMllkht1apRCLoADrRQaAEbY/jKw2/3Tz0YEWZj4bRJnFmczrLCySTF\n+uYux43tPfzt/b28sukADpcbm8B5c7K45pxCMlNOPdiDRU+fk/f3HOLNHTVsrjjMkd6E2Mgwls/K\n4NzZmUxPTyBBbyqpfGzCB/AR47kFDPDEu2XUNndxZnE6C6elEeXH+3XVt3bz5HvlvLalCpfbYBPh\nwvnZXH1OIZMTx8fYVZfbzZZ9jby5/SDv7znU38USZhOWFEzm/LlZLCuc3N8vrpQ/aAB7jfcAtkJt\ncxdP/LuMN7dV4zaeE04rF+Rw1dkFpMZHWV3eMYwx7D3UxpvbD/L2zppBIxRmZSdz/twsls/M0Jau\nCpgJH8Ch0AVhtaqGDv733TLe2VmDwdMFMndqKvmT45mWnsC09ASyU2Mtmwy8vrWbt7Yf5M3tBwfd\nlicrJZbz5mRx3mmZ47oLRY1fEz6Aj9AW8NhV1rfz53dKeX/PoWPWhdtt5KbFMS09gfx0TzDnT473\nWf+0MYbOXicNbT00tvfQ0O75unmf5zbrRyTGRHDu7AzOn5NFcWaSjsNVlprwAawtYN+ra+mi/FAb\nFXWex7769kH3JhsoJS6yP4yHay273G6aOno9wdofsJ7Xh9u6aWzvpaG9h15vP+5QEWE2zihK57w5\nWSyePklvy6OCxoQP4CO0Bexfnb0OKuvbqahrZ1+9J5gr69vp7js2NI+0lu12obG9h+aOXoa5zmGQ\nqHA7afFRpCZEkRbveeSkxXFmcTqxesdfFYRGGsBWXwmnxrnYyHBm56QwOyelf5nbGA41d7Gvvt3T\nUq5ro8LbWt5bd3QMruC5uWRqfOTggE2IIjX+aNjGRIZpl4IKSRrAyudsImR6L2Q4a8aU/uVdvc7+\nu0CkxUeREhep3QZqQgvZAJ5Ik/GMFzGRYTr5j1IDhGzzwxjzojFmdWLixJxkRikV/EI2gJVSKthp\nACullEU0gJVSyiIhG8AiskpE1rS2tlpdilJKHVfIBrCehFNKBbuQDWCllAp2GsBKKWURDWCllLKI\nBrBSSlkkZANYR0EopYJdyAawjoJQSgW7kA1gpZQKdiMKYBHJ9XchSik10Yy0BfzckSci8rSfalFK\nqQllpAE88HYE0/xRiFJKTTQjDWAzzHOllFKjNNI7YswTkTY8LeFo73O8r40xJsEv1SmlVAgbUQAb\nY+z+LmQkRORy4GIgAXjUGPO6xSUppdSojXkYmojcOsLtHhORehHZMWT5ShEpEZFyEbnzRPswxjxn\njLkeuAH4j9FXrZRS1vPFOODbRrjd48DKgQtExA48DHwamAVcJSKzRGSOiLw05DF5wFt/4H2fUkqN\nW764K7KcfBMwxrwrInlDFi8Fyo0xFQAi8hRwmTHmbuCSYz5IRIBfAP80xmwatiCR1cBqgNxcHcKs\nlApOvmgBj2VURBZQNeB1tXfZcG4BPgl8XkRuGLYgY9YYYxYbYxZPmjRpDOUppZT/jKgFLCLteIJW\nOBq4R1q+0X6o67iMMQ8BD41kWxFZBawqKCjwb1FKKTVKI2oBG2PivUPNJgNneR+TvMvH0o1xEMgZ\n8Drbu2zMdDIepVSwG+lcEGEicg9wAM/JtD8BVSJyr4iEj+Hz1wOFIpIvIhHAF4AXxrC/fjodpVIq\n2I20D/iXQCowzRizyBizEJgOJAG/GskORORJYB1QLCLVInKdMcYJ3Ay8BuwG1hpjdp7qQRyPtoCV\nUsFOjDn5OTQRKQOKzJCNvcPI9hhjCv1U36gN6AO+vqyszOpylFITiIhsNMYsPtl2I54LYmj4ehe6\nCNK5IbQFrJQKdiMN4F0icu3QhSLyn8Ae35bkG9oHrJQKdiPtgsgCngG6gY3exYvxDEH7jDHGJyMX\n/GHx4sVmw4YNVpehlJpARtoFMdLJeA4Cy0TkPGC2d/Erxpg3x1CjUkpNaKc0htcY8xbwlp9q8Sm9\nEEMpFexC9qacehJOKRXsQjaAlVIq2GkAK6WURUI2gHUYmlIq2IVsAGsfsFIq2IVsACulVLDTAFZK\nKYuEbABrH7BSKtiFbABrH7BSKtiFbAArpVSw0wBWSimLaAArpZRFNICVUsoiGsBKKWWRkA1gHYam\nlAp2IRvAOgxNKRXsQjaAlVIq2GkAK6WURTSAlVLKIhrASillEQ1gpZSyyLgKYBGZKSK/F5F/iMiN\nVtejlFJjEbAAFpHHRKReRHYMWb5SREpEpFxE7jzRPowxu40xNwBXAmf5s16llPK3QLaAHwdWDlwg\nInbgYeDTwCzgKhGZJSJzROSlIY/J3vdcCrwMvBLA2pVSyufCAvVBxph3RSRvyOKlQLkxpgJARJ4C\nLjPG3A1cMsx+XgBeEJGXgb/6r2KllPKvgAXwMLKAqgGvq4Flw20sIiuAzwKRnKAFLCKrgdUAubm5\nvqhTKaV8zuoAPiXGmLeBt0ew3RoRqQVWRURELPJ3XUopNRpWj4I4COQMeJ3tXTZmOheEUirYWR3A\n64FCEckXkQjgC8ALvtixzoamlAp2gRyG9iSwDigWkWoRuc4Y4wRuBl4DdgNrjTE7ffF52gJWSgW7\nQI6CuGqY5a/ghyFlIrIKWFVQUODrXSullE9Y3QXhN9oCVkoFu5ANYKWUCnYhG8B6Ek4pFexCNoC1\nC0IpFexCNoCVUirYhWwAaxeEUirYhWwAaxeEUirYhWwAK6VUsAvZANYuCKVUsAvZANYuCKVUsAvZ\nAFZKqWCnAayUUhbRAFZKKYuEbADrSTilVLAL2QDWk3BKqWAXsgGslFLBTgNYKaUsogGslFIW0QBW\nSimLhGwA6ygIpVSwC9kA1lEQSqlgF7IBrJRSwU4DWCmlLKIBrJRSFtEAVkopi2gAK6WURTSAlVLK\nIuMugEUkVkQ2iMglVteilFJjEbAAFpHHRKReRHYMWb5SREpEpFxE7hzBrr4LrPVPlUopFThhAfys\nx4HfAn8+skBE7MDDwAVANbBeRF4A7MDdQ97/VWAesAuICkC9SinlVwELYGPMuyKSN2TxUqDcGFMB\nICJPAZcZY+4GjuliEJEVQCwwC+gWkVeMMe7jbLcaWO192SEiJSMsMw1oGOG2450ea2jSYw0OU0ey\nUSBbwMeTBVQNeF0NLBtuY2PM9wFE5MtAw/HC17vdGmDNqRYjIhuMMYtP9X3jkR5raNJjHV+sDuBR\nMcY8bnUNSik1VlaPgjgI5Ax4ne1dppRSIc/qAF4PFIpIvohEAF8AXrCwnlPuthjH9FhDkx7rOCLG\nmMB8kMiTwAo8Hed1wF3GmEdF5CLgQTwjHx4zxvwsIAUppZTFAhbASimlBrO6C0IppSYsDWCllLKI\nBrBSSllEA1gppSyiAayUUhbRAFZKKYtoACullEU0gJVSyiIawEopZRENYKWUsogGsFJKWUQDWCml\nLKIBrJRSFtEAVkopi2gAK6WURYIqgEVkpYiUiEi5iNw5zDZXisguEdkpIn8NdI1KKeUrQTMhu4jY\ngVLgAjx3R14PXGWM2TVgm0JgLXCeMaZZRCYbY+otKVgppcYomFrAS4FyY0yFMaYPeAq4bMg21wMP\nG2OaATR8lVLjWTDdlj4LqBrwuhpYNmSbIgAReR/PPeR+ZIx5deiORGQ1sBogNjZ20YwZM/xSsFKj\nYgydlZU4OzqwRUcTN20aYgumtlBwamzvoamjl8SYCCYnRvtknwebOunqdTIlKYb46HCf7BNg48aN\nDcaYSSfbLpgCeCTCgEI8N/fMBt4VkTnGmJaBGxlj1uC9Y+rixYvNhg0bAl2nUsPa9sMfsv+JJ4gs\nKOCcZ58lOjPT6pLGha//4d+UH2rj/7tqCUsKJvtkn397v5zH3irhooW5fPPiOT7ZJ4CI7B/JdsH0\n3+5BIGfA62zvsoGqgReMMQ5jzD48fcaFAapPqTHb95e/sP+JJ7BFRLDk97/X8B2hxvYeyg+1ERlu\nZ15eqs/2O2eqZ1/b9zf6bJ+nIpgCeD1QKCL5IhIBfAF4Ycg2z+Fp/SIiaXi6JCoCWaRSo3X4vffY\n+dOfAjDvnntIXrDA4orGj4/LPad7FuSlEhFm99l+izISiQy3U9XYSXNHr8/2O1JBE8DGGCdwM/Aa\nsBtYa4zZKSI/EZFLvZu9BjSKyC7gX8Adxhhr/utS6hR0VFSw4eabMS4XBTfeSPall578Tarfx2We\nAF5WlO7T/YbZbczKTgZg+4Emn+57RJ8f8E88AWPMK8ArQ5b9cMBzA9zmfSg1LvS1tPDx9dfjbG9n\nyqc+xYzb9Nf3VPQ5XWyqaABgScFJz2udsrlTU9i8r4Ft+xtZPivD5/s/kaBpASsVitwOBxtvuYXO\nykoSZs1iwX336YiHU7R9fxM9DhfT0xOYlOCb0Q8DHe0HDnwLWH8TlPITYww7fvpTGj74gMi0NJb+\nz/8QFhNjdVnjzkfe7oelhb4Z+TBUcWYiEWE2Kg+309rV55fPGI4GsFJ+UvHYYzriYYyMMXxUVgfA\nMj8FcESYnRlZSQDsCHA/sAawUn5Q+9pr7Lr7bgDm//KXOuJhlKoaOjjU0k1iTARFmUl++5y53m6I\nbQEejqYBbJG6ujquvvpqpk2bxqJFizjjjDN49tlnh92+srKS0047LYAVqtFq3rqVTbfdBsYw4/bb\nybrkEqtLGrc+8g4/W1IwCbtN/PY5c6amAIHvB9YAtoAxhssvv5zly5dTUVHBxo0beeqpp6iurra6\nNDVGXdXVfHz99bh7esi98koKbrjB6pLGtSPDz5b66Mq34czMSibcbqOiro32bodfP2sgDWALvPXW\nW0RERHDDgH+cU6dO5ZZbbqGyspJzzjmHhQsXsnDhQj744INj3j/cNs8++yznn38+xhhqa2spKiri\n0KFDLF++nC1btvS//+yzz2br1q3+P9AJxtHWxkfXXUdfYyNpZ53FnJ/8BBH/tdpCXUePgx0HmrHb\nhEXTfT/8bKDIcDtFmYkYYGdV4FrBQTUO2AoX/vRlv+z3tf/34mHX7dy5k4ULFx533eTJk3njjTeI\nioqirKyMq666iqFzWQy3zWc+8xmefvppHn74YV599VV+/OMfM2XKFK677joef/xxHnzwQUpLS+np\n6WHevHk+Pd6Jzt3Xx4abbqKjvJz4wkIWP/wwtnDfTe4yEW3Yexi3MczNTSEuyv/fy7lTU9lZ1cy2\n/Y2c7uMLPoajLeAg8PWvf5158+axZMkSHA4H119/PXPmzOGKK65g165dx2x/om1+85vfcPfddxMZ\nGclVV10FwBVXXMFLL72Ew+Hgscce48tf/nKgDm1CMMaw7Qc/oGHdOiInTWLpo48SHh9vdVnjXv/V\nb4WBCUMr+oEnfAv4RC1Vf5k9ezZPP/10/+uHH36YhoYGFi9ezAMPPEB6ejpbt27F7XYTFRV1zPtP\ntE11dTU2m426ujrcbjc2m42YmBguuOACnn/+edauXcvGjRsDcpwTRdnDD1P19NPYo6NZumYNMVlZ\nVpc07rnchvXl/h3/O9Ts7GTsNqH8UCudvQ5iI/3f6tYWsAXOO+88enp6+N3vfte/rKurC4DW1lYy\nMjKw2Wz85S9/weVyHfP+4bZxOp189atf5cknn2TmzJncf//9/e/5r//6L77xjW+wZMkSkpOT/XyE\nE0f1Cy9Q8sADIMLCBx4gae5cq0sKCSU1LbR1O8hIjiEnNTYgnxkVEUZRRiJuA7uqmgPymRrAFhAR\nnnvuOd555x3y8/NZunQpX/rSl7jnnnu46aab+NOf/sS8efPYs2cPsbHH/vINt83Pf/5zzjnnHM4+\n+2ZOENkAACAASURBVGzuv/9+HnnkEXbv3g3AokWLSEhI4Ctf+UpAjzWUNa5fz9bvfheA2d//PlMu\nuMDiikLHR6VHL74I5InMOf3jgQPTDRE094TzF52Q3aOmpoYVK1awZ88ebDoXwZh17NvHe5//PI6W\nFvKvvZbT7rrL6pJCyo1r/k1FXRs/v2Ypi6b5dwTEQOvL6/nBk+uZmZXEg189a9T7EZGNxpjFJ9tO\n/yVOAH/+859ZtmwZP/vZzzR8faC3qYmPr7sOR0sL6eedx+wf/MDqkkJKfWs3FXVtRIXbmZObEtDP\nnpWTjE2gtLaVnj6n3z9P/zVOANdeey1VVVVcccUVVpcy7rl6e1n/ta/RuX8/CbNns/DBBxG77yYI\nV/Dv3bUALJyW5tPJ10ciNjKcgimJuNyGndX+7wcOqgAWkZUiUiIi5SJy53HWf1lEDovIFu/jv6yo\nU01Mxu1myx130LxpE1EZGSz7wx8IO04fvRo9YwyvbDwAwAVzsy2pIZDD0YImgEXEDjwMfBqYBVwl\nIrOOs+nfjDHzvY9HAlqkmtD23H8/NS+/TFhcHMsefZSo9MCMT51ItlY2Uv3/t3fn8VHV9/7HX5/J\nThYkkEAghCRIXIggEEFaXHC7qIBy1YrYqte23Ht7vVqrbW3dEbwu7W3vVX+2/ooPbWuhqK0sYrGK\nS11QAiL7EkJYAiSBANm3mc/9Y4YwhLBP5pxJPs/HYx4zZ5kzn8OEd07O+Z7vt7KWXsnxjMoLT/Oz\ntsLZMY9rAhgYCRSparGqNgGzgescrskYALbNmUPRiy8iUVGMeO45Us46y+mSOqUFgaPfq4f1J8qh\n6xX5WakIsHHnARqbj2wGGkpuCuB+wPag6R2BeW3dICIrReQNEenfznJjQqri009Z+fDDAJz3+OOk\nX3yxwxV1TnurG/hsw248IowbluVYHUnxMeT2TqHZ62NdaceeB3ZTAJ+I+UC2qg4B/g682t5KIjJV\nRApFpLCioiKsBZ6Mt956CxFh/fr1rfM2bdrE+PHjGThwICNGjGDs2LF8/PHHALzyyit4PB5WrlzZ\nun5+fj4lJSXhLr3LqNqwgcIf/ABtaWHg1KkMCNzebUJv0YrteH3KhXnp9Eo58g7QcArXeWA3BXAp\nEHxEmxmY10pV96rqwbGjfweMaG9DqvqSqhaoakFaWvjaEJ6sWbNmMWbMGGbNmgVAQ0MD1157LVOn\nTmXz5s0sW7aM5557juLi4tb3ZGZmMmPGDKdK7lIaysv58nvfo6WmhoxrruGcH//Y6ZI6La9Peecr\n/x/A40cMcLia8J0HdlMALwUGiUiOiMQCk4F5wSuISPCQpRPxD18fkWpqavjkk0+YOXMms2fPBuC1\n115j9OjRTAwasjw/P/+wznPGjx/PmjVr2LBhQ7hL7lJa6ur48vvfp37nTnoMG8awZ5+1wTQ70NKi\ncsoP1JPRoxvDcns5XQ75gfbH60v309TSceeBXdMZj6q2iMhdwCIgCnhZVdeIyDSgUFXnAXeLyESg\nBagE7jjdz50/cODpbqJdEzZvPubyuXPnMm7cOPLy8ujZsyfLli07ZjeVB3k8Hn7yk5/w5JNP8uqr\n7Z6BMadJvV6W33svB1avpltWFhf89rdEtdMpkgmdt5f7L75dMzwLjwv6UO7eLZbstGRKKqrZsPNA\nh90Q4qpf6aq6UFXzVHWgqs4IzHskEL6o6s9UdbCqDlXVsaq6/thbdK9Zs2YxefJkACZPntx6GiLY\npEmTyM/P55//+Z8Pmz9lyhSWLFnCli1bwlJrV7PmyScpe+89Yrp3Z9TMmcT17Ol0SZ1a2f46lm4q\nJybKw1VDnWn7255D54E77jSEa46AnXK8I9WOUFlZyeLFi1m1ahUigtfrRUR49NFHWy+4gX+Ei8LC\nQu6///7D3h8dHc19993H008/He7SO70tr77KlldeQWJiKHjxRZJyc50uqdNbuHwbCow5pw9nJMY5\nXU6rIQN6Mr9wKyu3VjLloo75DFcdAXcVb7zxBt/5znfYunUrJSUlbN++nZycHM4880w+/fRT5s07\ndOr7YDeVbd1xxx289957uLmVR6QpW7yY1dOnA3D+U0/Ra9Qohyvq/Jq9Phat8I+FeK0LLr4FO3ja\nYe2OfbR4fR3yGRbADpg1axaTJk06bN4NN9zA7NmzWbBgAb/5zW/Izc1l9OjRTJ8+nYfa6ewlNjaW\nu+++m/Ly8nCV3antX72aZXffDT4feffcQ+b11ztdUpfw+YYy9tU2MiAtifz+7uqnukdSHP17JuLz\nKTv21nbIZ1h3lKbLq9+5k3/ccAON5eVkTprE+c8+a4NphslP/rCEr0v28oNxg7nugmynyzlCaWUt\naSnxJ90pkHVH6VKl8+axIC+PT268keJXXqHBTiE4qrm6mi++9z0ay8vpOWoUQ5980sI3TLbtqeHr\nkr3ExURxxXnuHMapX2pih/bI1uUvwoVT4549rHrsMdTrZd9XX7Hvq69YM2MGvUaNou+ECWSMG0ds\n9+5Ol+mY5upqaoqKqNq4kepNm6gtLkZV8cTGEhUbiwSePcd6xMQcMe+w98TFHVonJoYVP/0p1Rs2\nkJibS8GLL+KJjXX6n6HLeCfQ9Gxsfl8SwzDqsRtZAIfRmiefpPnAAXqNGUPWjTdSumAB5R99xJ7P\nP2fP55+z6tFHSb/oIvpOmECfyy/vtF0dttTXU1NURHUgaA8+1+/c6Ug9sampjJo5s0v/8gu3xmYv\n737tv/jmhjvfnGIBHCYVn3xC6dy5eOLiGDJtGokDBtBvwgSaDhxg97vvUjp/Pns+/5yyxYspW7wY\nT3w8fS67jL4TJpB+ySVExbmnec6J8jY2Urtli/+INihs67Zvh3auPXhiY0kaOJDkvDySBw0iaeBA\nPLGx+Jqajv9obm597Q2e39h4zHVje/Rg6FNPkZjlXOcvXdHHa3dR09BMXkZ3BmV03V98FsBh4G1o\naO1NK+/uu0kccOg3fmz37mTddBNZN91EQ0UFu955h9L589m3fDk7Fy5k58KFRCcnk3HVVfSdMIFe\no0fjiXbX1+ZrbqZ269YjjmhrS0rQdkZ1luhoEnNySBk0yB+2gUe3/v1dt2+mY7y9bCsA4wu67tEv\nWACHxcbnn6du2zaS8/IY+N3vHnW9+LQ0cm67jZzbbqOutJSdCxZQumABVWvXsv3NN9n+5pvEpqbS\n95pr6DthAqnDh4etfwJfSwsNu3dTt2MH9aWl1JWWUrN5M9WbNlFTXIw2Nx/5Jo+HxOzs1iPa1iPb\nnBw719qFbd59gHWl+0mMi+aSczOO/4ZOzJqhdbDqjRv5aMIEtKWFb86ZQ+qIdjtwO/Y2Nm/2h/H8\n+dQG3X4cn5FBv2uvpe+ECXQfPPi0rt57Gxtp2LWLutJSf8AGBW19aSn1u3eD7+iN0RMyM0lpG7QD\nB1ofCuYI//P2KhYu38Z1F2Tzg3GDnS6nQ5xoMzQL4A6kPh+fTp7MvmXLGDBlCkOeeOL0tqdK1dq1\nlM6fT+mCBTTs2tW6LDEnh37jx9N3wgSS2+lgqKW+nvqdO6nfseNQqB4M2p07aSgvb/e8bCsR4nv3\nJqFvX7plZpLQrx+JAwb4w/bMMzvtBUMTWnWNLUz59XvUN3l56d8uZkBastMldQgL4AAnA3jrrFms\nfOgh4nr1Yuzf/05MSkrItq0+H/uWL6d0wQJ2LlxI095DHYaknHsuPQsKaKioaA3ZpsrjdCzt8ZCQ\nkUFCv35069fP/5yZ2Rq48X36ROSFQOMu8wu38vw7qzkvK5Vf3D7a6XI6zIkGsJ0D7iANFRWse+YZ\nAAY//HBIwxdAPB5SCwpILShg8EMPsXfJEkoXLGDX3/5G1dq1VK1de/j6MTEkZGT4wzUzszVkDwZt\nfO/edgHMdChVbb34du0Ia3UCFsAdZu2MGTRXVZF28cX0vfbaDv0sT3Q0aWPGkDZmDOc9/jgVH39M\nTXEx8RkZdOvbl4TMTOLT0pCojrujx5jjWVe6ny3l1XTvFss3z+7jdDmuYAHcAco/+ojS+fPxxMcz\nZNq0sN7aGhUXR58rrwzb5xlzohYU+o9+/+n8/h16e28kcVVfECIyTkQ2iEiRiDxwjPVuEBEVkeOe\nYwm3lvp6Vj36KABn3X033frbwM3GVNU18fHaXQj+US+Mn2sCWESigBeAq4FzgVtE5Nx21ksG7gG+\nCG+FJ2bT889Tt307KWefTe6ddzpdjjGu8PeVO2j2+hgxMI2MHt2cLsc1XBPAwEigSFWLVbUJmA1c\n1856TwBPAw3hLO5EVG3YwObf/Q5EGDJ9Op6YrtnBiDHBfKq8vczf8Y5dfDucmwK4H7A9aHpHYF4r\nERkO9FfVt4+1IRGZKiKFIlIYrhEj1Odj5YMPoi0tZN96Kz2GDQvL5xrjdl+X7KW0spZeKfGMGpTu\ndDmu4qYAPiYR8QD/Ddx3vHVV9SVVLVDVgrS0tI4vDtg6ezb7vvqKuLQ0zm4zhpsxXdnBpmdXD8si\nKky3zkcKN/1rlALBV6wyA/MOSgbygQ9FpAS4EJjnhgtxDeXlrW1+8x95hJjkznl3jzEna291A59t\nKMMjwrjz7YJ0W24K4KXAIBHJEZFYYDLQOjqlqh5Q1V6qmq2q2cASYKKqOj7e0Jrp02mpriZ97Fgy\nrr7a6XKMcY1FK7bj9Smj89LplWL9grTlmgBW1RbgLmARsA6Yo6prRGSaiEx0trqjK/vwQ3a+/TZR\nCQmc99hjNpyNMQFen7IwMOrFtV2828mjcdWNGKq6EFjYZt4jR1n30nDUdCwtdXWsesRf3ln33EO3\nzEyHKzLGPZYWlVNR1UBGj24My+nldDmu5Joj4Ei08bnnqC8tJeWcc8j5l39xuhxjXKW134fhWXjs\nL8N2WQCfogPr1lE8c6a/ze+MGdaRjTFBdu+vY2lRBTFRHq6yi29HZQF8CtTrZeVDD6FeL9nf/jY9\nhg51uiRjXGXh8m0ocNE5fejezUY/ORoL4FOwddYs9q9YQXzv3px933GbJRvTpTR7fSxa4b+n6tou\nPOLxibAAPkkNZWWse/ZZAPIffdTa/BrTxmfrd7O/tonstGQG9+/hdDmudloBLCJHDnnbya1+4gla\namroffnl9LnqKqfLMcZ1FgR1um7NMo/tdI+Au9S/btnixex65x2iunUj39r8GnOEbXtqWLm1kriY\nKC4/r9/x39DFnW4Ad+4B5YK01NUd6uf33nvp1revwxUZ4y5en4///946AC7L70tivPUGeDwhOQcs\nIheISJ+g6dtEZK6I/K+IpIbiM5y24de/pn7nTlIGDybnttucLscYV1FVnn9nDV9uKic5IYZvfePI\nkbnNkUJ1Ee63QBOAiFwMPAX8HjgAvBSiz3DMgTVr2PLKK+DxMHT6dGvza0wbsz4pYuHybcRGe3j8\n5gL6piY6XVJECFWSRKnqwXHPbwZeUtU3gTdFZEWIPsMRwW1+c26/nTOGDHG6JGNc5e9f7+DVDzci\nwAOThjG4f6f4ozcsQnUEHCUiB8P8cmBx0LKIPlwsee019q9cSXyfPpz9ox85XY4xrrJscwW/WrAS\ngH8fN9hGOz5JoQrHWcBHIrIHqAf+ASAiZ+I/DRGR6nfvZv0vfwn42/xGJyU5XJEx7rFp1wGeeGMZ\nXp9y0+hcrrsg2+mSIk5IAlhVZ4jI+0AG8K6qHmwd4QH+MxSf4YTV06b52/xecQUZ1ubXmFa799fx\nyOyl1Dd5uXRwX+68/GynS4pIIQlgEYnHP0LFmUC6iMxU1RZV3RiK7Tth93vvsXvRIqISEzkv0PzM\nGANV9U08+KcvqaxpZGh2T+6bOMR6OztFoToH/HugAFiFf1j5X57KRkRknIhsEJEiEXmgneX/JiKr\nRGSFiHzS3rD1odBSW8uqxx4D4Ox77yXB2vwaA0Bjs5fH/lzIjr215KQn8+hNI4iNjnK6rIgVqnPA\n56jqeQAiMhP48mQ3ICJRwAvAlfhHRF4qIvNUdW3Qan9S1d8E1p+If5DOcadbfFsbfv1rGnbtont+\nvrX5NSbA61OefmsFa7bvo1dKPE/ccoHdbHGaQnUE3HzwRWBooVMxEihS1WJVbQJmA9cFr6CqVUGT\niXTAnXj7V6+mONDmd8iMGUiU/XY3RlX57btr+XT9bhLjoplxy0jSUhKcLiviheoIeKiIHAxHARIC\n0wKoqqacwDb6AduDpncAo9quJCL/AfwIiAUua29DIjIVmAqQlZV1ovvgb/P74IPg85F7552ckZ9/\nwu81pjN74/Ni5i4tISbKw2M3F5Cdbr0AhkJIjoBVNUpVUwKPZFWNDnp9IuF7Mp/1gqoOBH4KPHSU\ndV5S1QJVLUhLSzvhbZe+/TYHVq8mPiODs374wxBVbExkW7yqlN+9vx6A+68bypABPR2uqPPo0Jsk\nRMQD3KKqr53A6qVA8NglmYF5RzMbePE0yjtCv/HjaampISEjg+hEu5XSmBVb9vDLeV8DMPXKc7h0\nsF2QDqVQdcbTXUR+JiLPi8hV4vefQDHwrRPczFJgkIjkiEgsMBmY1+ZzBgVNXgtsCkX9rdv3eMie\nMoXeY8eGcrPGRKTisioef30ZLT5l0qgcbrgw1+mSOp1QHQH/AagEPge+B/wc//nf61X1hPqCUNUW\nEbkLWAREAS+r6hoRmQYUquo84C4RuQL/Rb99wO0hqt8YE6T8QD0Pz1pKXWMLF53Th6lXnuN0SZ2S\nHLpp7RTeLOJV1SgRWRXUDC0K2AVkqWpDiOo8ZQUFBVpYWOh0GcZEjJqGZn70ymdsraghPyuV/7p1\npLX1PUkiskxVC463Xkc0Q/MCO9wQvsaYk9PU4uXxOYVsraghq1cSj37LbrToSB3dDA2AULeEMMaE\nnk+VX8z9mpVbK0lNimPGlJGkJNiQ8h0pVAF8NtBbVT8JnikiY4DdIfoMY0wHevn99Xy0dhfdYqOZ\nfstI0rvbjRYdLVSnIH5F+91OHggsM8a42IdrdvL658VEeYSHbxrBwD72R2s4hCqA+6jqqrYzA/Oy\nQ/QZxpgOUFJeza/m+ztV/9crz2F4bi+HK+o6QhXAZxxjmf0dY4xL1TY0M+31ZTQ0e7ksvy8TrVP1\nsApVAC8Vke+3nSki3wOWhegzjDEh5FPlmblfU1pZS27vFO4ZPwSxfn3DKlQX4X4I/FVEbuVQ4Bbg\n7zBnUog+wxgTQrM/KWLJxjKS4qN5+MbhxMdYc7NwO90AFgBVLQO+ISJjgYNdiL2tqouP+k5jjGOW\nFpXz+8BIxj+9fpgNI++Q0wpgVfW0mf4A+OC0KjLGdKjd++p46q8rUOA7l+QxclC60yV1WaE6B2yM\niQANzV6mvb6MmoZmRg1KZ8pFZzpdUpdmAWxMF6GqPLdwFZvLqsjo0Y2fXH++DabpMAtgY7qIBcu2\n8t7KUuKiPTxy0wiSbDw3x1kAG9MFrNleyW8W+ce3/eH4IeT2tjvd3MAC2JhOrrKmgelvLKfFp1w/\nMpvLzuvndEkmwALYmE6sxetjxptfUVnTSH5WKt+/wjpWdxNXBbCIjBORDSJSJCIPtLP8RyKyVkRW\nisj7IjLAiTqNiRS/e389q7f5u5d88IZhREe56r98l+eabyMwksYLwNXAucAtInJum9W+AgpUdQjw\nBvBMeKs0JnJ8sLqUv36xhWiP8NCNw0lNine6JNOGawIYGAkUqWqxqjbhH/X4uuAVVPUDVa0LTC7B\nP3KyMaaNLWVV/GqBv4PCf73qXAb3T3W4ItMeNwVwP2B70PSOwLyj+S7wTnsLRGSqiBSKSGFFRUUI\nSzTG/Woamnn89WU0Nnu5Ykg/JhTYmTq3clMAnzAR+Tb+zn6ebW+5qr6kqgWqWpCWlhbe4oxxkE+V\nZ95awa59dQzsncLd15xnPZy5WKh6QwuFUqB/0HRmYN5hAsPSPwhcoqqNYarNmIjwp38U8cWmcpLi\nY3jkphHEWQ9nruamI+ClwCARyRGRWGAyMC94BREZBvwWmKiq5Q7UaIxrfbmpnD9+5O/h7IFJ59On\nRzenSzLH4ZoAVtUW4C5gEbAOmKOqa0RkmohMDKz2LJAEvC4iK0Rk3lE2Z0yXsrOylqff+goFbrs0\njwvOtB7OIoGbTkGgqguBhW3mPRL0+oqwF2WMy+2vbeTxOcuoaWjhwkHpTB5jPZxFClcFsDHm5FRU\n1fPAH79gx95aMnsm8mPr4SyiWAAbE6FKK2v52R+/oOxAPTnpyTx560jr4SzCWAAbE4G2lFXx8z99\nSWVNI+f0O4Npt1xASkKs02WZk2QBbEyEWV+6nwf/9CU1Dc2cn92Tx24uICHW/itHIvvWjIkgK0r2\n8NifC6lv8nJhXm8evGEYsdHW1jdSWQAbEyGWbCxj+hvLafb6uCy/L/dNHGq9m0U4C2BjIsDiVaU8\nO/drfKqMH5HFf1ydb60dOgELYGNc7u1lW3lu4WoUuPkbA/mXy86y/h06CQtgY1xszmebmfn+egDu\nvOwsbv6m3WTRmVgAG+NCqsorH2xg9qebEeA/rs63biU7IQtgY1zGp8r/+9sa5hduxSPC/ROHcPkQ\nG3ugM7IANsZFvD4fv5y3kvdXlRIT5eHnNwzjG2f1cbos00EsgI1xiaYWL//1l6/4bEMZ8TFRPHZz\nAcNyejldlulAFsDGuEBDUwuPzVnGV1v2kBQfzfRbRnJOZg+nyzIdzALYGIdV1zfz8OwvWbdjPz0S\n43jy1pHk9k5xuiwTBq66jUZExonIBhEpEpEH2ll+sYgsF5EWEbnRiRqNCaU12yv58e8/Z92O/aR3\nT+CXt4+28O1CXHMELCJRwAvAlfhHRF4qIvNUdW3QatuAO4D7w1+hMaGzadcBfv/hBr4s8o/anZma\nyH99exTp3RMcrsyEk2sCGBgJFKlqMYCIzAauA1oDWFVLAst8ThRozOkqKa/mDx9t5JP1uwFIiI1i\n0sgcbhydS6L15dvluCmA+wHbg6Z3AKNOZUMiMhWYCpCVlXX6lRlzmkora/njRxv5YPVOFIiN9jDx\ngmxuGp3LGYlxTpdnHOKmAA4ZVX0JeAmgoKBAHS7HdGHlB+r50z82sWjFDnyqRHuEq4dnccuYM+mZ\nHO90ecZhbgrgUqB/0HRmYJ4xEaeypoE/f7qZt5dto9nrwyPwT+dnMuWiQfQ5w4aLN35uCuClwCAR\nycEfvJOBKc6WZMzJqapr4vXPi5m7tITGZi8Alw7uy3cuGURmzySHqzNu45oAVtUWEbkLWAREAS+r\n6hoRmQYUquo8EbkA+CvQA5ggIo+r6mAHyzYGgNrGZv66ZAtvfrGFusYWAEbn9ea2S/OsWZk5KtcE\nMICqLgQWtpn3SNDrpfhPTRjjCg1NLcwr3MqczzZTXd8MwIjcXtw+9izO6nuGw9UZt3NVABvjZqrK\nnuoGisuq2Ly7iuKyalZu3cuBuiYA8rNSuePSPM4b0NPhSk2ksAA2ph0tXh/b9tT4w7asiuLdVRSX\nVVEVOMoNlpfRnTvGnsXw3F42UoU5KRbApsurrm8+FLSBsN22p4Zm75H3+yQnxJDbO4WBvVP8z31S\nyElPtuA1p8QC2HQZLV4fO/bWUlJeTUlFNVvKqykuq6L8QH276/dN7UZuuj9kcwOBm5YSb2FrQsYC\nuAvYX9tI+YF6kuJjSE2KIz62c3/tPlV276ujpKKakvJqtlbUUFJezY69NbT4jrwvJzbaQ056Crm9\nk1vDNic9hW5xnfvfyTjPfsI6kQN1TWytqA48alqfD14kOig+JooeSXGkJsVxRqL/uUdiHD0Oe46l\nR1IcsdFRDu3N8akqlTWNrUe0JeWBwN1T09oGN5gAGT26kZ2WTHZ6MtlpyeT2SaFfaiJRHjuqNeFn\nARyBDtQ1sa2impLWkG0/aA/qFhtN7zMSqGtsobKmkYZmL7v21bFrX91xPyspPro1lM9IjCMuOooo\nj+DxCFGHPTyHTXvk8OWeoOXgPx3g9SktPsXr8+H1amDaP//g4+B63sD8lsB6+2r9wVvTcORFMYCe\nyXFkpyUzIBC0OenJZPVK6vRH/yay2E+jy63dsY/isqrDjmr317YftAmxUQxI8wfNgLRkBqT5n4PP\nW6pqaxDvr22ksqaRfYHn/bWN7Ks5+LqJfbWN1DS0UNPQwva9teHc7ROWFB9Ddro/YAcEjmwHpCWR\nkhDrdGnGHJcFsMu98M5qinZXHTYvITaKrF7+oMlKS/If6bUJ2qMRERLjY0iMj6F/r2PfGutTpbq+\nmX2BkN5X00iz99ARqs/nw6v+gSR9QUethx7+dX0aNM+riEB01OFHzNEHj5AD86MPLjts+tB7DgZv\nalKcXRQzEcsC2OUuzOtNTu8UBgQd1aZ1T8AThtDxiNC9Wyzdu8WSTXKHf54xXY0FsMt955I8p0sw\nxnQQV40JZ4wxXYkFsDHGOMQC2BhjHGIBbIwxDrEANsYYh7gqgEVknIhsEJEiEXmgneVxIvLnwPIv\nRCQ7/FUaY0xouCaARSQKeAG4GjgXuEVEzm2z2neBfap6JvAr4OnwVmmMMaHjmgAGRgJFqlqsqk3A\nbOC6NutcB7waeP0GcLnYbVDGmAjlphsx+gHbg6Z3AKOOtk5gEM8DQE9gT/BKIjIVmBqYrBGRDSdY\nQ6+22+rEbF87J9tXdxhwIiu5KYBDRlVfAl462feJSKGqFnRASa5j+9o52b5GFjedgigF+gdNZwbm\ntbuOiEQD3YG9YanOGGNCzE0BvBQYJCI5IhILTAbmtVlnHnB74PWNwGJVPXKIA2OMiQCuOQUROKd7\nF7AIiAJeVtU1IjINKFTVecBM4A8iUgRU4g/pUDrp0xYRzPa1c7J9jSBiB5DGGOMMN52CMMaYLsUC\n2BhjHNJlA1hEXhaRchFZHTTvfBFZIiIrRKRQREY6WWOoiEh/EflARNaKyBoRuScwP1VE/i4imwLP\nPZyu9XQdY1+fFZH1IrJSRP4qImc4XevpONp+Bi2/T0RURHo5VWOoHGtfReQ/A9/rGhF5xsk6koZ0\n6gAAA3NJREFUT4mqdskHcDEwHFgdNO9d4OrA62uAD52uM0T7mgEMD7xOBjbiv937GeCBwPwHgKed\nrrUD9/UqIDow/+lI39ej7Wdguj/+i9lbgV5O19qB3+lY4D0gLrAs3elaT/bRZY+AVfVj/C0pDpsN\npARedwd2hrWoDqKqu1R1eeB1NbAO/12Fwbd2vwpc70yFoXO0fVXVd1W1JbDaEvztzCPWMb5T8PeT\n8hP8P88R7xj7+u/AU6raGFhW7lyVp6bLBvBR/BB4VkS2A78AfuZwPSEX6EFuGPAF0FtVdwUW7QZ6\nO1RWh2izr8HuBN4Jdz0dJXg/ReQ6oFRVv3a0qA7S5jvNAy4K9Iz4kYhc4GRtp8IC+HD/Dtyrqv2B\ne/G3O+40RCQJeBP4oaoeNta9+v+G6xRHTHD0fRWRB4EW4DWnagul4P3Ev18/Bx5xtKgO0s53Gg2k\nAhcCPwbmRFrnXBbAh7sd+Evg9ev4e2jrFEQkBv8P72uqenAfy0QkI7A8A4i4P+Hac5R9RUTuAMYD\ntwZ+4US0dvZzIJADfC0iJfhPsywXkT7OVRkaR/lOdwB/Ub8vAR/+DnoihgXw4XYClwReXwZscrCW\nkAkcFcwE1qnqfwctCr61+3ZgbrhrC7Wj7auIjMN/XnSiqtY5VV+otLefqrpKVdNVNVtVs/EH1HBV\n3e1gqaftGD+/b+G/EIeI5AGxuLd3tHZ12TvhRGQWcCn+35hlwKPABuB/8P9p0wD8QFWXOVVjqIjI\nGOAfwCr8Rwng/1P1C2AOkIX/ivm3VLXthcmIcox9/V8gjkOdNy1R1X8Lf4WhcbT9VNWFQeuUAAWq\nGlGh1NYxvtP3gJeB84Em4H5VXexIkaeoywawMcY4zU5BGGOMQyyAjTHGIRbAxhjjEAtgY4xxiAWw\nMcY4xALYGGMcYgFsjDEOsQA25jhEJMrpGkznZAFsTBsi8t1AB/UzRWQf8COnazKdkwWwMUcair+H\nrblAT/y3MRsTcq4Zlt4YFxkK/EJV5wWmG50sxnRe1heEMW0ETjt8U1XXOl2L6dzsFIQxQURkABAD\nrHe6FtP5WQAbc7ihwCpV9R13TWNOkwWwMYcbCqxwugjTNdg5YGOMcYgdARtjjEMsgI0xxiEWwMYY\n4xALYGOMcYgFsDHGOMQC2BhjHGIBbIwxDrEANsYYh/wfYOR+qFUstnEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57a4086250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_statistics_vs_mag[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_mag_bins, agn_statistics_vs_mag[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_mag_bins, galaxy_crps_vs_mag, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_mag_bins, agn_crps_vs_mag, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[2].set_xlabel('$r$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim(Ax[2].get_xlim())\n",
    "Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[0].set_ylim([0.01, 1])\n",
    "Ax[1].set_ylim([0.0001, 1])\n",
    "Ax[2].set_ylim([0, 0.6])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_stats_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy of the photometric redshift probability distribution\n",
    "\n",
    "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n",
    "\n",
    ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n",
    "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n",
    "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n",
    "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n"
     ]
    },
    {
     "data": {
      "image/png": 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VFAkvyTcHkoi7mYqfnwnhq+fXy9dw0esY26057auXA2BX9CUG/bSaxMxMwn19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\nLo1G0+/4f0Nx/E3+KwpNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f579e813550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(gal_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=gal_mag_bins.min(), vmax=gal_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_gal]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_gal[mcut,:], photoz_zgrid, z_spec[zs_gal][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'Galaxies', size=12,  verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n"
     ]
    },
    {
     "data": {
      "image/png": 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bhwnNb6k10QJIK/oBj15ETFCX49Mg4IShYiBR0yEUigBTPhDfrFkzQkNDWZq2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\nhTCtV2/EAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f57c1a88b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(agn_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=agn_mag_bins.min(), vmax=agn_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_agn]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_agn[mcut,:], photoz_zgrid, z_spec[zs_agn][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "#cbax = mpl.colorbar.make_axes(Ax.axes)\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'AGN', size=12, verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_pz_accuracy_agn.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks for statistiscs on number of estimates with secondary peaks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_frac_sec_peak = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    \n",
    "    galaxy_frac_sec_peak.append(mpeaks)\n",
    "\n",
    "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n",
    "\n",
    "agn_frac_sec_peak= []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    \n",
    "    agn_frac_sec_peak.append(mpeaks)\n",
    "    \n",
    "agn_frac_sec_peak = np.array(agn_frac_sec_peak)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "  \n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n",
    "\n",
    "galaxy_frac_sec_peak_nf = []\n",
    "agn_frac_sec_peak_nf= []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, n in enumerate(nfilts):\n",
    "    mcut = (photoz['nfilt_eazy'] == n)\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    galaxy_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    agn_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "\n",
    "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n",
    "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kpW5XoqWVevquXajiYrzbtqPIy5fdEZ0IaNuWvGPHOP7DD+Vex2pTHE8z5rTb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\nPimvENYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f579e919f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1,2, sharey=True, figsize=(8,3.5))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_frac_sec_peak, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_frac_sec_peak, color='firebrick', lw=2, label='AGN')\n",
    "#Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Leg = Ax[0].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[0].set_xlabel(r'$r$', size=12)\n",
    "Ax[1].set_xlabel(r'$N_{\\rm{filt}}$', size=12)\n",
    "Ax[0].set_ylabel('Fraction')\n",
    "#Tw = Ax.twiny()\n",
    "#Tw.set_xlim(Ax.get_xlim())\n",
    "#Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[1].plot(nfilts, galaxy_frac_sec_peak_nf, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(nfilts, agn_frac_sec_peak_nf, color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylim([0,1])\n",
    "#Ax[0.set_yscale('log').tight_layout()\n",
    "Fig.subplots_adjust(hspace=0, wspace=0)\n",
    "Fig.suptitle('Fraction of sources with secondary redshift peak')\n",
    "\n",
    "Fig.savefig('plots/dmu24_XMM-LSS_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   },
   "outputs": [],
   "source": []
  }
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