{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 09"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 15 Photometric Redshifts - V1 (20180210)\n",
    "\n",
    "GAMA15/master_catalogue_gama-15_20180119_photoz_20180210_r_optimised.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_GAMA-15/data/master_catalogue_gama-15_20180119.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_GAMA-15/data/GAMA15-specz-v2_1-PRIVATE.csv   \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",
    "| 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",
    "| VST/OmegaCam           | omegacam_u     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_g     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_r     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_i     | Yes    | Yes   |\n",
    "| CTIO/DECam             | decam_g        | Yes    | No   |\n",
    "| CTIO/DECam             | decam_r        | Yes    | No   |\n",
    "| CTIO/DECam             | decam_z        | Yes    | No   |\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",
    "| UKIRT/WFCAM            | ukidss_j       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM            | ukidss_h       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM            | ukidss_k       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_z       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_y       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_j       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_h       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_k       | 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 all three GAMA fields - with cost-sensitive learning weights calibrated for each specific field.\n",
    "The three sets of filters used were:\n",
    "- OmegaCam u,g,r,i\n",
    "- HyperSuprimeCam g,r,i,z,y\n",
    "- OmegaCam g,r,i + VISTA/VIRCAM J and Ks\n",
    "\n",
    "For the AGN subset, one GP estimate was also included resulting in much better performance. This estimate used the following filters:\n",
    "- OmegaCam u,g,r,i + VISTA/VIRCAM J\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 be detected in 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",
    "\n",
    "#### Field-specific issues encountered:\n",
    "Initial runs including PanSTARRS and DECam observations resulted in significantly poorer results than expected given the excellent KIDS and HSC photometry available in the field. As these two datasets were found to be the main causes of the issues when used in combination with the other datasets, they were excluded resulting in excellent overall quality.\n",
    "Due to the \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "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": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "photometry = Table.read('master_catalogue_gama-15_20180119_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": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ZvQAc4u5Lg/KHgQtpQfDZPOkoevCPfZ/ppmQCEZEWSFbwceCvZubAfe4+A+ju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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7afa3d0>"
      ]
     },
     "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_GAMA15_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": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.py:11: RuntimeWarning: invalid value encountered in log10\n"
     ]
    },
    {
     "data": {
      "image/png": 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YCIfDTE5OYrPZqNVqPPXUUyiKIluZarUa9XqdYDDI3NwclUoFh8PBoUOHcLlc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tt3Lddddxxx13cNJJJ3H66adTV1cnS1br16/n1FNPJZlMsmLFCmbOnCktwF588UUe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\n9nH8+HEtk9mL6nxlNM8kwwr1DMnn78yVx/b2dq644gpaW1tZvXo1d955p37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eyv3dMPcR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\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HcLlcuN1uvfRdSEgImzZtYv/+/YSFhZGVlYXL5dKTevbs2UN9fT3V1dWYTCb279+vJyxF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6b0f510>"
      ]
     },
     "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'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n",
    "    ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\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_GAMA15_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": 5,
   "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": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.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": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dCLWway5DRMQSv7kjmT1nxICLfFK52ScKX262uzvKC8/v4MSJi0ycWM+wYZV5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Y/pPc6qpyXAb9H3uWDIc1V6BYrZwNzVCCn1dyfPZRx3rPp0zC6lID2OTL6XMihGcZ/wFJdvkNy+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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb3eae10>"
      ]
     },
     "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, 1.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 1.5]) #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_GAMA15_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": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_gal],99)), 21)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_agn],99)), 9)\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": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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K9+5FIiI46a676HP77R6ZmNTai3DunvkiIBv4L/AjEHIj+QvXr2fl3Xc7F9JJSOCUZ58l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\n8v8BE6byAgxCXbcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb3f1c50>"
      ]
     },
     "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([0.01,1])\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[1].set_ylim([0.01,1])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_GAMA15_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": 10,
   "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],[1,99.9]), num=15)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.9]), num=6)\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": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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e0n6lme0ws91m9oVQ883A0865e4DrY16siEgUeR7AwOPAleENZpYEPAxcBSwG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\nD366VM40uAq+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x16f0c510>"
      ]
     },
     "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([0.001, 1])\n",
    "Ax[2].set_ylim([0, 0.6])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_GAMA15_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": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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b6/bgrqS+ZVtJUkqe3/ozHx3fhCHQ+/9zRLaOXjkaeilJiI/Hz3gcSn7A6dbx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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x51c5650>"
      ]
     },
     "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_GAMA15_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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pz3T0WzLRmjXUzaxFdKqO4WuWciIuFjcnJ75o34l+dQp3/clsNjNt5Dz0/6uN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\no4JLURS7o4JLURS78/+fV/xo+7SIIAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb3c2250>"
      ]
     },
     "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_GAMA15_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": 14,
   "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": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "/software/rhel7/lib64/python2.7/site-packages/ipykernel/__main__.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": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GLFyIX9u2Nt1OcYIK+oLXJUgAzqxezZrrr+fAO++QnZiIX7t2dJs+nWtXryZk\n7Fhcvb0va73Bt9yCe0AAqfv3k7x9u42jrp5y09PZOm4cmadP49+tm83baDm6oZwrEAoMBEYBX4jI\nJa1hlFKzlFJhSqmwwMBAuwWjlGLbhAkkbdyIe9269PvhB+r27Gm37V0JN19fuk6bBsDhTz4hdtGi\napcwnJlZKSJjz/HVXwe5/7O1jJ+xjpd+2Mb6yDhHh1YhEyZMIDw8nPDwcGz53cs4doyNd9zBifnz\nMbm702nKFLpNn46rj4/NtlGaRgVV8OvX1+gBl/IyMtj94otsGz+e7KQk/Lt3p/ecOQxYsoTgESMw\nubld0fpdPD1pds89gFFar+nys7PZ/uCDpB08iHdICD1nzcK1Vi2bbqNc96mLSGtgItDMehml1LWl\nLHYKsO4dItgyzVossFUplQscE5HDGEneIad0aQcOcHbLFtzq1OGqH38s13UjR6rXty8h999P9Fdf\nsfOZZ4j78086T5lSoSoyzbai4lJZtuMEWw6fITkju3C6q0nIMys2Hoznmg5BDozQ8U7//ju7X3qJ\nvIwMvJs1o8fHH1O7Q4dKjcGzQQMCevQgOTycM6tX07gKXV6rLGe3b2fnc8+RGRuLyd2dthMnEjJm\njM07tmr+739zdNYs4let4vzx4zW261hlNrPruec4u3UrHoGB9Pn6azwCAmy+nfK+ez8DO4BXMJJ7\nwaM024FQEWkhIu7A3cDiIvMsxCilIyL1MKrjo8sZk83F/fknYFTNVfWEXqD9iy/S5a23cPXxIX7F\nCtYOG8Zpy35olSvfbOal77eybMcJkjOyaVC7Frf2as479/bh8wcHABBxNJG8fLODI3WM/Oxs9k6e\nTMQTT5CXkUGjG2/k6kWLKj2hF3DEcKxmpYg/d4HNh86wLSrBIbVr+dnZRL79Nn+PGkVmbCx+HTow\nYNEiWo4bZ5eeKj0DAwm66SZQimNz59p8/dWBUor9U6dy2nJZt/fs2XgFB9tlW+XtUS5PKTWjIitW\nSuWJyGPAcsAFmK2U2i8irwPhSqnFltcGi0gkkA9MVEqdrch2bClu+XIAGg0t9tJ+lSQiNL3rLupd\ndRW7J00i6e+/iXj0UeJvvpmOr76Ku7+/o0OsMQ6eSiEtM5cGdWrx6p09CGngd1Fjr+C63sSePU9k\n7Dk6N6vrwEgr3/kTJ4h47DFS9+/H5O5O+5deovm//+3Q20MbDR3K/ilTSFi3jrzz5y/7unFJUs5n\ncywhnZh8fbrUAAAgAElEQVSCR2I6xxPTycz5p3+Jx2/syE09Kq/kmhoZyc5nnzXumjGZCH3kEVo/\n9hgmd3e7bjdk3Dhif/2VE7/8Qpunn8bN19eu26tqor/8kmNff424udFzxgxqt29f9kKXqbxJfYmI\nPAL8BhTWKSqlkktbSCm1DFhWZNp/rZ4r4BnLw6HSo6LIOHIEtzp1qNu7t6PDqTCvxo3pM3cux3/4\ngci33+bUkiUkbdlCl6lTaXBtaVdJNFvZfsRoSNa3dQNaNqx9yeu9Q+sTe/YY26ISalRSj1u+nF0v\nvEBeejpeTZrQ46OPqNO5s6PDolbDhvh37865HTs4s2YNjW+66bLWk5mTx/HE9IsS+LGEdFIvFH+r\nUoCPB0EB3uw7kcyMP/cT0sCP9sH2Pfk25+Vx9IsvOPThh6jcXLybN6fbe+/h362bXbdboHa7dtTt\n04ezW7Zw4scfaemgDrwcIXbRIiLffhuAbu++a/N+F4oqb1K/z/LXuspdASG2DcdxCqreG15//RU3\nDnEUMZlo/u9/E9i/P7teeIHk8HC2jR9Pu+efp9WDDzo6PKcXftRI6j1b1S/29V6h9Vmw5RhboxJ4\n4Pp2lRmaQ5hzcoicNo1jc+YA0HDwYLpOm1alRkcLuvFGzu3YQdwff5QrqSekZrL/ZPJFpe/4lMxi\n5/XycKV5oC/N6xuPFvV9aR7oi5+XUSqesXw/C7fFMOXnCD55oD91fcseHOpynI+JYedzz3Fu504A\nmt97L+2ef94ufQCUJmTcOM5u2cKxuXNpMWZMuUfXq84SN25k1/PPA9D+5ZdpfPPNdt9muY6qUqp6\nXGC+AtWx6r0k3s2b0++HH4iePZvIt9/myKxZhIwda/cqtprsXEY2UXGpuLua6NS0+MYvHZsE4OXh\nyomkDOLPXaChf+X+qFamC7GxRDzxBCm7dyOurrSfNIkWY8Y4tLq9OI2GDGH/G29wZu1a8i5cKDXR\nRcae44Vvt5CTd3GbCFeT0KSej5G0CxO4H4F+nqXu7/jr23E0Po29J5J5c8EOpt3bBzcX213TVkpx\nfN48IqdOJT8zE8+GDeny9tvUv/pqm22jIhoMGoR38+acj4khfsWKwp79nFXKvn1sf+QRVF4eIfff\nT0tLD3v2Vt7W727Aw8AAy6S1wExLq/Vq73xMDGkHDuDq42P3qpHKIi4utBw/npO//kr64cMkbtpU\nJe+3dxYR0UYpvUvzuni4FT8wj6uLiR4h9dhwIJ6tRxK4pWfzSoyw8sSvWsWuiRPJTUujVlAQPT7+\nuNTuRB2pVlAQ/t26cW7nThLWri0x0eSbFZ/+sY+cPDMdmvjTpVldmllK340DvHG9jGTs6mLi5du7\n89iXG9l/8hyzVkby6NCOV7pLgNG5ya5Jk0hcvx6AxiNG0HHyZNxrX3pZqLKIyUSLMWPYN3ky0bNn\nO3VSP3/iBNvuv5/88+dpPGIE7ScV20u6XZT3kzgD6AF8Znn0sExzCgWl9AbXXYeLh4eDo7GtoOHD\nAeM2Is1+Cq6nh7Us/V7uXqFG1fy2qCrReaLNHXj3XbY/+CC5aWk0uO46BixZUmUTeoHytIJfufsk\nR+LTqOfnydR7enHfoDYM7BBEs0Dfy0roBfx9PPjPnd1xczGxePtxVu6Ovex1FTi1dClrhw0jcf16\n3OrUocdHH9F9+nSHJvQCTW67DTc/P87t3Mm5XbscHY5dZJ89y9axY8lOSqJev350nTbNLncVlKS8\nW+qplLpPKbXa8hgLVM1eWS5DwfX0RkOGODgS2ytI6vErV5KfnV3G3NrlyDcrdkSXL6n3bGkk9d0x\nZ8nKybN7bJXN1ccHcXGh/aRJ9Jw50yYjq9lbQVJPWLOGvMxLr4+fz8rl6zWHAHjgurZ4utv2WnDb\nxv48MtS4re+jZXuJiku9rPXkpKSw46mn2PHkk+SmplL/mmsYuGxZ4W9AVeDq7U3Tf/0LcM7OaPIu\nXGDb+PGcj4nBr317wj77rNIve5Y3qeeLSMuCf0QkBOMWtGrvwqlTpOzZg4uXF/WvucbR4dicT4sW\n+HXoQF5GRmFVnGZbUXHGrWyN/L1oHFD6bVH+Ph60DqpNbr6ZXTEOu3vTblo9+CADliyh5fjxVe76\neUm8goKo06UL+ZmZJKxbd8nr322IIuV8Dh2a+DPQTh0H3di9KUO7NSEnz8yUnyNKbDlfkoQNG1h3\n442cWrIEl1q16DRlCr2++grPBg3sEu+VaDF6NOLiQtyff3Lh9GlHh2Mz5txcIh5/nJTdu6kVHEzv\nr75yyK175T3lnAisEZFoQDB6lhtrt6gqUUHVe/2BA3HxtE/rU0drPHw4afv3c2rpUhrecIOjw3E6\n4VZV7+VJZL1b1efw6VS2RiXQp3XV+9G9EmIy4demjaPDqLCgYcNI2b2buGXLCLJqLHsyKYNF22IQ\n4OEhHWx2onLyl1+IXbQITCZMLi6Iqyv9TCZ8TqaSlp3HL2vm0q1VfVxcXRFXV8TFpfBhKvL/+RMn\niP31VwD8u3en27vv4t28uU3itIdaQUE0GjqU07//Tsw331Tq9WZ7UUqx5z//IWHtWtz8/ekzZw6e\n9Yu/C8beytv6/S/LMKkF39ZDSimnqMt15qr3AkHDh3PgnXc4s3o1eZmZNu9ruKbbfrR8Ve8FeoXW\n59v1UWw7YvQoVl1KtM6s0bBhRL79NmfWrCE/K6vwBH/mykjyzYqh3ZoQ2sg216RT9u5l98svo/Iu\nvfzS0PIAOLWn/OsUNzfaPPkkrSZMQFyKb6hZlYSMG8fp33/n+Pz5tH78cZt3/FPZDk2fzsmff8bk\n6UnvL790aI+kpSZ1EblWKbVaRG4r8lIrEUEp9asdY7O7rDNnOLdjByYPDxoMHOjocOzGKziYOl27\nkrJrFwlr1jh1q9PKlnYhh0OnUnBzMdG1efk6lGnVqDb+3h4kpWVxLCGdkAZV577tmsorOJjanTqR\nuncvCevW0WjIELZFJbD9SCJeHq6MHWSb2of87Gx2TpyIysujyR13EDR8OCo//59HXh7Hz6Qwf30U\nYs7npm7BtKrvg8rLQ5nNqLw8zJb5Cv5HhKBhwypldDtb8e/atfCug5MLFtBi9GhHh3TZYn74gahP\nP0VcXAirAnd6lFVSvwZYDRR3x7wCqnVSj1uxApQi8OqrK210KEcJGj6clF27OLV0qU7qNrQjOgkF\ndGwaUO4GVCYReoUGsnxXLNuiEnRSryKChg0jde9e4v74g3rX38DMFZEA/HtAKHW8bXNXzMH//Y+M\nqCi8Q0LoOHlysbVmQUBch2PMXBHJsWwXPhp8Fc0Dna9b1ZBx44h4/HGOzZljdBlciS3EbSVuxQr2\nvvoqAJ2mTKkSvXeWehSVUq9anr6ulBpr/QCm2D88+yqseneCDmfKUjB+dMLatTV6qElb237UuDWt\nvFXvBXpZep3b6qS3tlVHBSe78atXs3DjQWKTzxNc15sRNupP4Oy2bUTPno24uNDtvfdKvQw2sldz\nBnUMIis3n9d+iuB8llN0CXKRhoMHU6txY84fP86Z1asdHU6FnQ0PZ8dTT4HZTJunnqKZpVW/o5X3\n1GhBMdN+sWUglS377FnObtuGuLnR8LrrHB2O3dVq1IiAnj0xZ2cT/9dfjg7HKZiVIuJoElDxpN49\nJBBXk3Dw1DnSKtjSWbMPryZNqN2xI/nnz7Nx/hIAHhrc3ia9vOVlZLBz4kRQilYPP4x/ly6lzi8i\nPDW8Ey3q+3Iq+TzvLNyF2QEjutmTydW1sNq9ut3elh4Vxfbx4zFnZ9Ns1ChCH3vM0SEVKvXTKiJt\nReR2oLaI3Gb1GANU66bi8atWgdlMYL9+VaovanvSHdHY1tH4NM6dzybQz5NmgRW7fOPl4UrHZgGY\n1T99xmuOV3DPepMjO+gVWr/Efvwrav/UqYXDnLZ+9NFyLePp7sp/7+yBj6crW6ISmLfhiE1iqUqa\n/utfuHh7c3brVlIjIx0dTrlkxsWxZexYo4Ol66+n02uvVanGrmWdgrYBbgLqYFxXL3h0B8bbNzT7\nirP0HlUTqt4LBA0bBiYTCevXk5N6eR1caP8IP1qxW9mK6q2r4Kuc7B5XAdDi5D7GD7DNeFVn1qzh\nxI8/YnJ3p/t771WoM5KgAG8mjeyGAN+uO+x0PRG6+frS9I47gKpbWldmMxnR0Zz89Vf2vvoqm+66\ni6y4OPy7d6fHhx9WubsNyrqmvshy/fymItfUn1BK/V1JMdpcTmoqSZs3Iy4uNLj+ekeHU2k86tWj\nXu/eqNxc4leudHQ41d72I8YP7OWW5gq6jA0/mki+2VzG3Jq9KaX4cl8aCQHBuOdm4R6584rXmXPu\nHLtffBGAts88g2/r1hVeR89W9Rk9sDUKePu3nZxKPn/FcVUlLe67D0Q4tXQpWYmOr7XKPnuWM2vW\ncHD6dLaMGcPyHj1Yc8MN7Jo4kZjvviPz9Gl8W7em1xdfVMm+Tcrb+cxDInJAKZUCICL+wP+UUpUz\n7IyNnfnrL1ReHvX69cMjoPgRtZxV0PDhJG3ezOmlSwvPkLWKy8jK5UBsCi4moWuLyxsbPbiuD0EB\nXpxOvsCB2BQ6ljC6m1Y51uw7zYHYFAJCe1B/ayxxf/xBwys86d/73/+SnZhIQM+ehFzBKF1392/F\n4dOpbD58htd/iuDDcf1s3l2to3g3a0bD668nfuVKYr77jrZPP11p287PziZ1/35Sdu/m3K5dpOze\nzYWTJy+Zz7NBA+p06UKdLl3w79IF/+7dq+w4IeX9VHQuSOgASqlzItLNTjHZXU1q9V5UwyFD2Dt5\nMkl//012cnKNO6mxlZ3RSZiVonPTALw93C57Pb1a1Wfhthi2RSXopO5AmTl5fPnXAQB6/ftOcrcu\nIn7VKvKzsy/7x/vUkiWcXrYMFy8vur7zzhVV05pEmHhrF574chMxiem8v2QPL97WrUpdy70SIePG\nEb9yJcd/+IHQhx+2SwlYKcX5mJjC5H1u1y7SDh5E5V58Z4FLrVrU7tQJ/y5dqNO1K/5dulCrUSOb\nx2Mv5U3qJhHxV0qdAxCRgAosW6XkZWSQuGEDiNBw8GBHh1PpPAICqNevH4nr1xP35580v+ceR4dU\nLYVXsBe5koS1DGThthj2HHe+fuCrkx83HeVsejatG9Vm8LA+bGjXjrQDB0jatOmy7j3OOnOm8P7l\nDi+9hHfTplcco7eHG6/e1YMnZm9iXWQcbRrX4fY+trnu72gBPXtSu0MHUvfvJ3bRIpveHpablsaR\nmTM5Pn8+uSkpF78ogm9oaGHyrtO1K76hoZhcq2V6A8qfmP8HbBaRnzH6fr8DeNNuUdlR7OLFmHNy\nCOjZE8/AK/tBrq4aDx9O4vr1nP79d53UL4NSyiqpX1nr6PbB/ggQFZdKdm5+iWOxa/YTd+4Cv2yO\nBuDhoR0widBo6FDSDhzg9B9/VDipK6XYNWlS4UhpTe++22axNg305bkRXZjyyw6+XHWQlg396Nq8\nns3W7ygiQsi4cex89lmOff01Te+664prIfKzszn+ww8c/uSTwmTuERhoVKFbknjtTp0cMuiKPZXr\nBkyl1DfA7cAZIB64TSn1rT0Ds4eshAQOvPMOAC3uvdfB0ThOw8GDMbm7c3brVrISnKs1bWWISUgn\nKT2LAB8PQhpc2Q+Ct6cbzev7kmdWlz3kpnZlvlh1gNx8M9d2DKJ9sD/wT0c0Z1atwpxTsX4Ejs+b\nZ4xlXrs2Xd56y+ZV5P3bNeJf/VpiVoqpC3aSkHrpcLHVUdCNN+JRvz7pUVEkbtx42etRZjOxixez\nZvBg9r/xBrkpKQT06kX/X37hhs2b6TVzJqEPP0y9fv2cLqFD+TufQSm1H/gJWAxkiMiV1ydVsn2v\nvUZeejr1Bw2iUQ3uKtXNz4/Aq68GpQpv7dPKLyLa6HCmR8jl3cpWVDtLItl/8twVr0urmF3Hkth0\nMB5PNxfuv65d4XSfkBB827QhNy2NxE2byr2+88ePE/nWWwB0ev11uw19et+gNvQIqUfqhRym/BxB\nTl71Hwnb5O5eWNi63NvbEjdtYsOtt7Lz6afJjI3FJzSUXl98Qb8ffsC/m/O0QShNuZK6iIwQkSjg\nGLAOiAGqVTaIW76cuD//xMXbm86vv14j3tzSFHREc0p3RFNhO44ZSb17iG2qPTs0MZJ6ZKxO6pUp\n32xmxnKjw5O7+7eint/FjbMKulYu74mvys9n58SJ5F+4QNDw4TS+6SbbBmzFxSRMGtmNBnVqcTgu\nlWm/7SI3v/rfFtls1ChMnp4krl9P+pHyd7aTGhnJljFj2DJ6NKn79+PZoAFd3nqLa5YupcG119ao\n3/vyltSnAH2Aw0qpFsB1wBa7RWVjuWlp7J08GYB2EydSKyjIsQFVAQ2vuw6ThwfnIiLIOHbM0eFU\nGzl5+eyzNGrr1sJWSd1o9X4g9hzKyboCrcp+jzhBTGI6DevU4vY+lw6VWdC7XPzKleWqgj/61Vec\ni4jAo359Or32ms3jLcrPy51X7+yBl4crGw/G84YTlNjd/f1pMnIkANFff13m/BdOnWLns8+yfsQI\nEjdswNXHh7bPPcegv/6i6V13VesGb5ervEk9Vyl1FqMVvEkptQYIs2NcNhU5bRrZCQn4d+tG8//7\nP0eHUyW4+vgQfMstABz+6CMHR1N97D95juw8MyEN/PD3sc19qg3r1MLf24PUCzlO17FIVZV2IYe5\naw8DMOGG9ri7XtpA0bdVK3xDQ8lNSyNp8+bS13foEIemTwegy9SpuPv72z7oYrRsWJt37u2Dby03\ntkQl8OqP4WTlVu/E3mLsWABif/uN7OTkYufJSUlh/9SprLn+emIXLkRcXWkxdizXrllD6MMPlzpY\njrMrb1JPEREfYD3wvYh8CFSLX5+krVs5MX8+Jnd3o9FKNRzez15CH3sMcXPj1JIlpB065OhwqoUd\n0bategej5W/7Jvq6emX6Zt1hMrJy6dqiLv3alHzdu6DtzelSquDNOTnsfO45zDk5NL37bhoMGmTz\neEsT2qg2797bhzre7uyITuLlH7ZxITuvUmOwJd+WLal/zTWYs7M5Pm/eRa/lZ2dzZNYsVg8aRPRX\nX2HOyaHxzTczaMUKOr7yiu53g/In9VuAC8DTwJ/AUYofY71Kyc/KYs9LLwEQ+sgj+IaGOjiiqsWr\ncWOa3X03KMWhDz5wdDjVwo5o41Y2WyZ1oLDVdaRO6nZ37Ewav0ccxyTCw4M7lHq9NcjSQVX8ypWY\nc4sf/vTwJ5+QFhmJV5MmdLB0CVvZWjTw473Rfann68m+E8lM+m4r6ZnVd7jWgt73Yr77DnNODio/\nn5MLFrD6uus4MG0auWlp1OvXj6sXLqT7Bx/YpB8AZ1FmUhcRF2CpUsqslMpTSs1VSn1kqY6v0g5/\n/DHnY2LwDQ2l1YMPOjqcKin0kUcweXgQv2IFKXv3OjqcKi3lfDZH4tNwczHRsYltSwTO0lguL9/M\n8l0nq+wwoUopZqyIxKzgprCmNK9f+i1Nvq1b49OqFbkpKSRtubQZ0bldu4iaMQNE6Pruu7j6VGy0\nPltqUs+H9+7rS4M6tTh0OoUXvt1Cyvlsh8VzJepddRW+rVuTnZBA5Ntvs+7mm9n1/PNkxcXh17Yt\nvb/+mj7ffEOdTp0cHWqVU2ZSV0rlA2YRqV0J8dhMamQkR7/4AkToPHVqhUZGqkk869cvvI3k4Pvv\nOziaqm3XMeM8tmPTAJt3EtOyoR9uLiZOJGWQlll9x1ef8nME7y/Zw69bqmbjy00H49kdcxbfWm7c\ne035BlcpbAW/bNlF0/MyM9n53HNgNtPy/vup27OnzeOtqEb+Xrw3ui/BAd4cPZPGxG+2cDY9y9Fh\nVZiIEGK5tn5s7lzSDx3Cs1Ejur77LgMWL6b+gAE1qkV7RZS3+j0D2CsiX4nIRwUPewZ2Jcx5eeye\nNAmVn0+L0aMJ6N7d0SFVaS0ffBBXHx8S16/nbHi4o8OpsnYcM6ree9i46h3A3dWF1kHGefOBalxa\nH9bdqAads+YQR+OrVmc62bn5zFpl9O9+38DW+NUq34l+QSv4uJUrMef9c6364DvvcP7YMXxDQ2nz\nzDO2D/gy1a9di3fv60OzQB9OJGXw3Debq2UHNY1vuQXvkBDc/PxoP2kS1/71F01uu63KDXVa1ZQ3\nqf8K/AejoVyE1aNUIjJURA6JyBERmVTKfLeLiBIRm7SoP/b116Tu30+toCDaVqEvW1XlERBQeFZ8\n8H//07dVFUMpVdjpjK2vpxdo7wSd0PRp3YCbejQlN9/M27/tIrsKtcResCWaMymZtKjvy43dy38N\n1rd1a7xDQsg9d46zW7cCRicnx775BnF1pet771W5EbsCfDx5d3RfWjX043TyBZ6du5nT1ezOChcP\nD65ZupTB27bRcvz4KneMq6pSk3pBr3GW6+iXPMpY1gX4FBgGtAdGiUj7YubzBZ4Etl7uTljLz84u\nvL+x05QpDr3GVZ2E3H8/brVrk7xtG0kV6EGrpjh59jxJaVnU9nKnRQM/u2zD+n716mz8De1pUteb\nE0kZhSOfOVpiWibzNx0F4KEh7XGpwF0wIlJYBX962TJy09PZ9cILALR+7DHqdOxo+4BtoLaXO9Pu\n7UO7xnVISM3k2bmbOZGY7uiwKsTFwwOT2+WPglgTlfXJXljwREQWVHDdvYAjSqlopVQOMB+jFX1R\nU4BpgE0u/Lh4eHD1woV0fPVVGgwcaItV1ghuvr60nDABMK6t69L6xaxbvZvsdC2v4La2Q6dSyKvG\nvYN5urkwaWQ3XE3C4u3H2Rbl+PEFvvrrINm5+fRv2/CyBkAp7IhmxQr2Tp5MVlwcdbp0odXDD9s6\nVJvy8XRj6v/1pnOzAJIzsnnumy0cjU9zdFgaxuWg5btO2vy3tqykbv3rVdEx/hoD1qPNx1qm/bNy\nke5AE6VUqX2VisgEEQkXkfDExMQyN+xZvz4tRo+uYLhXRilFYlomO6KTWLQ9hk/+2MeslZEkpVWf\nRiotRo/GvW5dUnbv5sxffzk6nCrFHvenF1Xby53gAG+y88wcPVM1fnhnzZpFWFgYYWFhlOe7V6BV\no9qMGdQGgP8t2e3QVtj7TyazZt9p3FxMjL+hXdkLFMOvbVu8mzcnJzmZUwsXYvLwoOu771aLHsu8\nPFyZMqoXPVoGknohh+e/3czBUyllL6jZza5jSTw0az3vL9nDuv1xNl13WUldlfD8iomICXgfeLas\neZVSs5RSYUqpsMAqNFxqfMoF3lm4i8e+3MjId5bz7w9X8+L3W/nsz/0sCT/Ogi3HGPfZWn7YEFWl\nri2WxNXLi1BLyePQ9Okoc/UtLdpSbr65cLzz7i3s+/mrap3QTJgwgfDwcMLDw6nod+/2viF0aV6X\nlPM5vL9kj0Nqf5LSsnj7t10A3Nk3hIZ1vC5rPSJSWFoHaPf88/i2bGmTGCuDp5sLk+/qQd/WDcjI\nyuPF77ay90TxvbVp9pOWmcP/Fu/mhe+2cjr5As0CfWjob9ve78pK6l1EJE1E0oHOludpIpIuImUV\nJU4BTaz+D7ZMK+ALdATWikgMRt/yi23VWK4ymET4a+8pouJSyczJp7aXOx2a+DO0WxMeuL4tV7Vt\nSHZuPnPXHmb8jHWs23+6yldrN7vnHjwbNiTt4EFOF7mFp6Y6GHuOzJx8mtbzuWTQD1srSOqRJ6v/\nD65JhOdGdMHH05WtUQksjThRqdtPy8zhpR+2kpCaSbvGdfhX/1ZXtL7gkSMxubsTOGBApdcE2oK7\nqwuv3NGdgR2CuJCTx8s/bCusgdLsSynF2n2nGT9jHSt2x+LmYuK+ga35dPzVtG1s2y6FS607Ukpd\nyb0D24FQEWmBkczvBu6xWncqUFiXKSJrgeeUUtXmnqpAP0+eubkzwXW9Ca7rQ22vS2+R2RWTxOfL\nIzmWkM7UX3eyOPw4Dw1uT2ijqnnbv4uHB60fe4w9r7zCoQ8/pNHQodWiitGeKqPqvUCH4H86oVFK\nVft7cevXrsWTwzvz5oIdfLEyki7NAmgaaP8xrLNy83l1fjjHEzNoWs+H10f1xPMK+xbwbdmSGzZv\nxtXHp9p2N+3qYuL5W7vi7mpixe5Y/jt/O/+5szu9Q+0zRKwGCamZfLxsL9uOGJevOjUN4MnhnWhS\nzz6NuO32yVRK5QGPAcuBA8BPSqn9IvK6iIyw13Yrk4gwpGsTOjQJKDahA3RtXo9Px1/Nk8M7UdvL\nnX0nknn8y4389PfRKltqb3LHHXg1bcr56GgOTJtGfnb17JXKVmw91Gppguv54OPpxtn0bM5Uw3uL\nizOgfSNu6BxMdp6ZaQvtP0RoXr6ZNxfsIDL2HIF+nkz9v17lvie9LO516lT7k1wXk/D0zZ25OawZ\nuflmXvspgg2Rtr2uq0G+WfHb1mOMn7GObUcS8fZw5cnhnXhndB+7JXSwY1IHUEotU0q1Vkq1VEq9\naZn2X6XU4mLmHVidSukV4WISbuzelNmPDuS23sYQj1/9dZBZqw5Uye40TW5utJ80CUSInj2bDbfe\nSsqePY4OyyHSM3M5fDoFV5PQuVldu2/PZDW4izP1A//w0PY08vfiSHwac9fYb/AgpRQfLN3LtqgE\n/GoZLb8D/WruiF0lMYnw6NAO3NE3hHyzYuqvO/hrT6yjw7rI2fQslu04wZLw48QkpFfJ38qSRJ9J\n4+mv/+bzFZFk5eZzdbuGfPHwNdzYvand7p4pUL1POasZH083HhzcnjZBdXh30S5+3XKM1PM5PHNz\nZ1xdqlZ1XqMhQ+g3bx67X3iB9MOH2XD77bQaP57WTz5ZozqB2BWThFlBx6b+1HKvnK9L+2B/tkUl\nEBl7jms7NS57gWrA28ON52/tyrNzNvPL5mjCWgVe1q1lZfnqr4Os3BOLh5sLU0b1pKkdS0TVnYjw\nwHVt8XB14fsNUby7aDfnzucwuEswfiXUPNrbqeTz/H0wnk0H4zlQpIW+by03OjYJoFOzADo1DaBl\nQ2BYJGYAABubSURBVL8K9TdQGbJz8/l+QxS/bI4m36yo5+vJY8M60reUkQBtTSd1BxjYMQhfLzde\n/ymCv/aeIvVCDv+5ozuelZQ0yqtuz54M+P13Dk2fTvTs2RyZOZP4VavoOm0a/t26OTq8SlFwPb1b\nC/tXvRfo4IQldTBOVv7v6lZ8uz6KdxfuZsaDV9usWhzg581H+XlzNC4m4b939rB5AyRnJCKMHtga\nDzcXZq8+yBerDvDlqgOENPCjS4u6dGlWl07NAvD2sE8HMEopjsanselQPH8fPEOMVec4bi4meoTU\no5aHK3tPJJOUlsXmw2fYfPgMALXcXWjfxEjwnZoG0DqoNu6ujutCdldMEh/+vpfTyRcQ4OawZoy9\nto3djl1JpKpe1y1JWFiYCneS/skPn07hlXnbSb2QQ5ugOkwZ1bPEa/OOlrxjB7snTSLj6FEwmQgZ\nO5a2zzyDi6d9W4M72n0fryY+JZOP7r+KNkF1KmWbWbn53PbOcpRSLJg4BC+PqnGyFxYWxpV+9/LN\nZp6du5kDsSlc3a4RL9/ezSaNAVfujuW9xbsBeOHWrk5Tw1GZVu89xR87T3AgNuWidg8mEUIb1aZr\n87p0aV6XDk38r6gAkm9WRMaeM0rkh+I5k/JP2xEvD1d6h9bnqjYNCWsVWFg7ppTiTGome48ns/fE\nWfaeSOZ08oWL1uvuaqJt4zp0amqciLRrXKdSCkppmTl8ueoAy3cZly+a1vPhqZs6FfYQaQsiEqGU\nKtedYTqpO1js2Qxe+n4bZ1IzCa7rzdR7etHgMu+ltbf87GwOf/ghR774Asxm3OvWpfGIETQZORK/\n9u2rfUvtok4nn2fsp2v/v707j6+qvvM//vrcbGQjK0mABBJkCZsECCCLC6XgLlrtWLeftnb81Zl2\n3GY6btPa2mWsjjO1v44t/elo1Vp3wYprFbCAQNhJIBCTQEIggewL2b/zx7mBGBIIeG/OuSef5+OR\nR8499+Te971wzud+z/ne75eoISG8et9igjwD9/p+8Mzf2FtWyy9vmjMgHfT6wxdFHeBQdRN3LlvD\nsdYO/vmqaSyelvqVHm/DvnIeeWUzncbwvSWTuMbbb0WdnZa2DvJKq9leXMm24qPkH6z90vXsYI+Q\nmRrHtNEJZGUkkDky9rQt5Nb2DrYVVbI2/zCf7y2npvHETIRxkWHMnZDMvAnJZGUkEtLPS5GV9c3s\nPFDFrgNV7Nxf9aVWPlh9mcYPj2HKKOuU/eS0eKKG+K7VbIxhdd4hnv4gl5rGVkKCPNywYCx/N/+c\nfr+G/tKiHmAq65t56E8bKaqoJyU2nCdvm0dCtHNbwDU7drD9wQep231iXO/o8eNJvfpqRi5dSnhK\nio3pfOednGL+33u5nD8xhYevmzmgz/27D/N4a0MRt1wwjpv7OUWov/mqqMOJlnV4aBD//ffnMyI+\n8qweJ7ekigde3EBLeyffmn8O3/5apk/yqROaWtrJLaliW3El24srKThU+6WRyEKDPUxKiyMrPZFp\n6QmMHx5DcJCHppZ2NhVUsC6/nI37KmhqPTHD3fC4COZNSGZ+ZgqZI+N88oG5rqmVXSVV3tZ8FV8c\nrqWzR3kLDw0iJiKU2Mgw7+9QYiLCvL97rg/t88NKRe0xfvPeruNDIE/xfk3NX304tKgHoIbmNh54\ncQN7D9WSkRTN4/9nLtHhzp3IwBhDzY4dlL71Fgf/8hfaqr3Xf0VInD+f1KuvZviSJQRHnt3B2m7G\nGO5c9hlFFfU+aU2eqTV5h/j5G1uYMSaRX940Z0Cfuy++LOrGGH7x5lbW5B1i4shY/uO2uWfc6am4\nop77nl9HQ3M7l0xP4+7Lp7rubJET1R9rY+cBq8BvK6o8qYUcHhpE+rBoCg7Xfek0fkZSNPMzU5g3\nIYUxydF+/7dqbGkjr6T6eGt+b1ntGX+dMiIs+KTiHxYcxAfbSmhu6yAiLJjvLsrkUj/3ateiHqBq\nm1q577l1lFQ2Mik1jl/eNNtxned609naSsXq1ZS+/Tbln3xCZ6t1am3yww8fn9I10GwuPMKDL20k\nPiqM53+wcMA74FTWN3Pjf/2V8NAgXr1vsa0dgLr4sqiDVRy+t2wNR+uaufmCcdxyBmckymuauOe5\ndVTWtzBvQjIPXzfDcT2hB4uaxha2F1eyfX8l24sqKfVO8SrAxNQ4byFPPuuzMb5ijKGppZ2aplZq\nGluobWqlprHV+7vlS8u1TdZyR8+mfjfzM1P4x0smD8hZ1TMp6s6vGINITEQov7hpDvc+t4680moe\nfX0Lj1yf7fPrM77mCQ0lZfFiUhYvprWmhrKVKzm4fDkjr7zS7mhn7Y31hQAsnZVuS0FNiB5CRlI0\nRRX1bC+uZNbYpAHP4G/R4SH8y9Jp3P/CBv702T5mjEnsV+eimsYWHnxpI5X1LUwdFc/910zXgm6j\n2MgwLpw8ggsnjwCs8fYLy+sYO3wo8VHOuYwoIkQOCSFySAgj+/EBwxhDQ3O7VfCbWqn1/q5ramXc\n8BjH7pO6JzhMUkw4v7hpDjERoeR8cYQnlm8PqEEXQmNjSb/xRua/8gphic7o4HWmCsvr2Fx4lCEh\nQVw2c5RtOeZNsPomrN1z2LYM/paVnsh1c8fQaeBXb2+jsaXtlNsfa23n3/68idKqRjKSonnk+mzC\nvuLwr8q3EocOYfa4JEcV9LMhIkSHh5CWGMXUUfEsmDicK2aO5sbzxzm2oIMWdUcalRjFz26YRXho\nEKtyy/jv93MdO6SsG73xudVKv2R6mk+/R32m5mdaA1as31t+ytOAge7WhRMYmzKUwzXHePr9vD63\na+vo5KevbWZvWS0pseH8/MbZPu3NrJQbaFF3qPEjYo+fen8nZz8vrtlnd6RB4UjdMT7dVYZH4JrZ\n9n41akzyUJJjw6lpbGV3qbsGoukuJMjDv14znbBgDx/tKGV1btlJ23QawxPLt7Ol8CixkdZlKid/\nQ0Qpu2hRd7Cs9EQe+MZ0PAIvrtnHR9v9NzazMSagTvP7y/KNxXR0GhZMHE5KnL3jBYgI872n4Nfl\nu/cUPFhnp+5YMgmAp1bupKLbZDbGGH73QR6rcsuICA3mZzfM7tc1UaUGIy3qDjc/M4V/uGQKAL9+\ndyd5X7HF1tLWwd6yGj7ZeZA/rtrLL9/cyj/+4TOufuwDrn38Q15cvZdj3b5POpg0tbSzcos15/d1\nc8fYnMYyL7OrqJe7/hLM5TNGcd64JBqa23l8+bbjlxxe/lsByzcVExLk4cfXz3TstMVKOYH2fg8A\nV2aPZv+Ret7J2c9PXs3hN7cvICnmzGaeMsYcvz5fd6zvzkgvrNnHu1sOcMuF47k4K3VQ9Sp+f1sJ\njS3tTB0VP2BDwp7OpNQ4YiJCOVTdRFFFPWOSh9odyW9ErClBv/f7z9ixv4o3Pi8kakgIz6/ai2AN\n/+qPSWCUchMt6gHie0smUVLZwLaiSn78Sg5P3ja337OGVTe08NTKnazLtyZCSI2PJD0pmtSESFIT\nokhNiGRkQiT7K+r5w8d7yC+r4dfv7uStDUXcviiTOeOSXD+oR0dnJ29tKALg2vOc0UoHa6jLuROS\neX9rCev2HHZ1UQfr61H3XXUuD7+8iec+zT9+duL7l03h/EnDbU6nlPNpUQ8QwUEeHrp2Bnc9u5bC\n8joef3sbD39z5ilHMepqnf/2/Vzqj7URERrMHUsmcklWWq9FeuroBH79nXmsyTvE/3yaz4GjDfz4\nlRzOHR3PldnpzOo2wYK/dBrDoeomiivqKSqvo6iinvCwYC6YOJwZYxL9NkXtZ3mHqag9Rmp8JHPG\nO+vrKvMnpPD+1hLW5pc7ZshYf5o1NomrZo1mxab9ANxy4XiumDna5lRKBQYt6gFkaHgoP7l+Fnc/\nu5a1+eW8sGovty6c0Ou21Q0t/GblTtZ6W+czxiRyzxXnnva0vYhw4eQRzJ2QzLubD/DSZ/vYsb+K\nHfurCAnyMGNMIvMzU5gzLonYyLOfV725rYOyqkbKqho5WNVEWVUjxUfqKa6op7mt46TtP9peSnR4\nCOdPHM5Fk0cwZVS8zyZYMcbw2vovALh27hi/Dvd4NrIyEogIDaawvI7D1U22d+AbCN9dNJHWtk5G\nJkTyTYf0b1AqEGhRDzCjEqN46NoZPPzyRv70twLSEqOYMiqekqMNlFQ2UFrZSMnRBvYeqqWppZ2I\n0GD+fvFELp3ee+u8L6HBQVwzJ4PF01KtU7/5h8krqWbDvgo27KvAIzA5LZ6kmHCaWto51tpOU0s7\nTa3WckenITQ4iNAgDyHBHms52EOnMRyuaaKyvqXP506IDiMjaSgZSdGkJ0VTUWt9zezA0QZWbjnA\nyi0HSIgOY+GUkdx0/rivPDXpjv1VFByuIyYilEUOnLIzNDiIWWOHsTrvEGvzDzvq8oC/hIUEcc+V\n59odQ6mAo0U9AM08Zxj/d8kknv4gj8fe3tb3dmMSubsfrfNTiRoSwnVzx3Dd3DFUNTSzPr+ctfnl\nbC86ys4DVWf9uMEeISUugpHxkYyIj2RkfASjEqPJSIpmaC9zyt+wYCxFFfWsyi1jVW4Z5TXHeH19\nIZu/OMIj12eTcpbT1TY2t/HsJ3sAuGpWumNHJ5uXmWIV9T2Do6grpc6OFvUAtXRWOgerGlmxaT9x\nkWGkJVqd3tISIklLjCItIYrk2HCfdnCLjxrC5TNHc/nM0TQ2t7Gl8OjxmYrCQ4OJCAsiIjSY8LBg\ngjxCW3snrd6fto4OWts76TSGlJgIhsUMOaOe9SLCmOShjEkeyrcXTiCvtJon39lBUUU9//TMWn70\nzZlMGXX6ccO76z7lbXxUGFdmO/e67ayxwwgJ8pBXUk11QwtxUWd/6UMp5V46S1sAM8bQ1tHpiBm8\n7NDQ3MYv3tjC5sKjBHuEu66YypJpaf362wNHG3j4Txsp93aO+/mNsx1/rfrfXt7IxoIj3HX5VC6b\nMfBj0vt6ljalVP+cySxtg+dLyC4kIoO2oIN1aeDRG2Zx9ex02jsN/7FiB3/4ePdpx0nPLani3ufW\nUV57jMyRsTz57XmOL+hwYiCa9S4fXU4pdfa0qKuAFuTxcOfFk7nr8qkEeYTX1xfyyKs57DlYQ0Pz\nyYPsrM8v5/4XN1B/rI0545J47JbziOnlGr4TzR2fjEdga1HlaWczU0oNTnpNXbnCZTNGMTI+kkdf\n38zGfRVs3FcBWHPUpyZEMjI+koiwYFZsKqbTWDOw/dNlUwJqxLzYyDAmpcWz60AVmwqOcJF3/mql\nlOqiRV25xrT0BJ76znxeXLOPoop6DlY1UtvUSm1TK7klJ8bMv/mCcdx8wbiAHCVv/oRkdh2oYt2e\nw1rUlVIn0aKuXGVEfCQ/vDoLsEanq6xv5mBlIwerGjlU3cSktDjmeWc+C0TzMlP4/Ue72VRwhNb2\njkHdp0IpdTIt6sq1PCIMGxrOsKHhZGW4YyKQlNgIxqYMpeBwHZ/uKuPirP719ldKDQ6Bc0FRKQWc\nmHDmj6v30tLLkLpKqcFLi7pSAeaiKSM4J3koR+uaWbGp2O44SikH8WtRF5FLRCRfRApE5P5e7r9X\nRPJEZIeI/FVEnDukl1IO4RHh9kWZAPx5bQF1x1ptTqSUcgq/FXURCQJ+C1wKTAJuEJFJPTbbCmQb\nY84FXgd+5a88SrnJzHOGMT0jkYbmdl5Z+4XdcZRSDuHPlvpsoMAYU2iMaQX+DCztvoEx5lNjTJP3\n5udAqh/zKOUqXa315RuLqag9ZnMapZQT+LOojwRKut0u9a7ry+3Ae73dISJ3iEiOiOQcOXLEhxGV\nClzjhsdw0eQRtHV08sdVe/3yHMuWLSM7O5vs7Gx031PK+RzRUU5Ebgaygcd7u98Ys8wYk22MyR42\nbNjAhlPKwW5bOIFgj/DxjlIKy+t8/vh33HEHOTk55OTkoPueUs7nz6J+EOj+JdpU77ovEZGvAw8B\nVxljWvyYRynXGR4XwRXZozFwfF54pdTg5c+ivgkYJyIZIhIKfAtY0X0DEZkO/B6roFf4MYtSrnXD\ngrFEhAazqeAI24qP2h1HKWUjvxV1Y0w78H3gA2A38KoxJldEfioiV3k3exyIAl4TkW0isqKPh1NK\n9SE2MoxvzrMGpHnmr3sw5tRTzyql3Muvw8QaY1YCK3us+1G35a/78/mVGiy+MSeDd3L2s7eslve2\nlnDZjFF2R1JK2cARHeWUUl/NkNBgbls4AYCn3t3Je1sP2JxIKWUHLepKucTFWWl8e+EEDPBff9nJ\nm58X2h1JKTXAtKgr5SLfWjCWf7jYGrjx9x/t5qU1+/Qau1KDiBZ1pVxm6ewM7r3yXDxizeSmneeU\nGjy0qCvlQhdnpfHAN2YQ5BFeW1/Ib97bRacWdqVcz6+935VS9rlg0nDCQjw8+toW3t18gHV7ygkN\n8RDkEYJECPJ4lz3Cj/5uJsOGhtsdWSn1FWlRV8rF5oxL5mc3zuLR17ZQ3dj3gI2dndqKV8oNtKgr\n5XJZ6Ym8fM8iapta6eg0x386Ow0dnZ10dBriosLsjqmU8gEt6koNAqHBQXp6XalBQDvKKaWUUi6h\nRV0ppZRyCS3qSimllEtoUVdKKaVcQou6Ukop5RJa1JVSSimX0KKulFJKuYQWdaWUUsoltKgrpZRS\nLqFFXSmllHIJLepKKaWUS2hRV0oppVxCi7pSSinlElrUlVJKKZfQoq6UUkq5hBZ1pZRSyiW0qCul\nlFIuoUVdKaWUcgkt6koppZRLaFFXSimlXMKvRV1ELhGRfBEpEJH7e7k/TERe8d6/QUTS/ZlHKaWU\ncjO/FXURCQJ+C1wKTAJuEJFJPTa7Hag2xowF/hN4zF95lFJKKbfzZ0t9NlBgjCk0xrQCfwaW9thm\nKfC8d/l1YJGIiB8zKaWUUq4V7MfHHgmUdLtdCszpaxtjTLuI1AIJwNHuG4nIHcAd3psNIpJ/hlkS\nez5mAAjEzBCYuTXzqZ9nmHc5XES2DMBz9nx+p/3baKb+cVomp+WB/mca3d8H9GdR9xljzDJg2dn+\nvYjkGGOyfRjJ7wIxMwRmbs3sXE58nZqpf5yWyWl5wD+Z/Hn6/SCQ1u12qnddr9uISDAQA1T6MZNS\nSinlWv4s6puAcSKSISKhwLeAFT22WQHc6l2+DvjEGGP8mEkppZRyLb+dfvdeI/8+8AEQBDxrjMkV\nkZ8COcaYFcAzwAsiUgBUYRV+fzjrU/c2CsTMEJi5NbNzOfF1aqb+cVomp+UBP2QSbRgrpZRS7qAj\nyimllFIuoUVdKaWUcgnXFXUReVZEKkRkV7d1WSLyuYhsE5EcEZltZ8aeRCRNRD4VkTwRyRWRu7zr\n40XkIxHZ5/0dZ3fWLqfI/LiI7BGRHSLylojE2p21S1+Zu91/n4gYEUm0K2NvTpVbRH7gfb9zReRX\ndub0JRGJFZHXva9tt4jMdUCme7zv8y4ReVlEhtiQobfjm63HiT4y2Xoc6C1Tt/ts2c/7yuTzfdgY\n46of4AJgBrCr27oPgUu9y5cBq+zO2SPzcGCGdzka2Is1tO6vgPu96+8HHrM7az8yLwGCvesfC4TM\n3ttpWJ069wOJdmft53u9EPgYCPPel2R3Vh++5ueB73qXQ4FYm/OMBIqAcO/tV4HbbMjR2/HN1uNE\nH5lsPQ70lsm73rb9vI/3yef7sOta6saYNVg96b+0GhjqXY4BygY01GkYYw4ZY7Z4l+uB3VgHke7D\n6D4PXG1PwpP1ldkY86Expt272edY4xM4wineZ7DmHvgh1v8VRzlF7juBfzfGtHjvq7Avpe+ISAzW\nAfAZAGNMqzGmxt5UgPVtoXDvmBoR2HAc6eP4ZutxordMdh8H+nifwMb9vI9MPt+HXVfU+3A38LiI\nlABPAA/YnKdP3pnqpgMbgGRjzCHvXYeBZJtinVKPzN19B3hvoPP0R/fMIrIUOGiM2W5rqH7o8V6P\nB873znC4WkRm2ZnNhzKAI8D/iMhWEfn/IhJpZyBjzEGsY8cB4BBQa4z50M5M3Tj9OOGI44BD93Of\n78ODpajfCdxjjEkD7sHbAnAaEYkC3gDuNsbUdb/PWOdmHNeK7CuziDwEtAMv2ZWtL90zY2V8EPiR\nraH6oZf3OhiIB84D/gV4VcQVEyIFY52mfNoYMx1oxDqtbBvvdeqlWB84RgCRInKznZl647TjhFOO\nAyISgTP3c5/vw4OlqN8KvOldfg1rBjlHEZEQrAP2S8aYrqzlIjLce/9wwFGnV/vIjIjcBlwB3OQ9\nyDhGL5nPwTpQbxeRYqzThFtEJMW+lCfr470uBd40lo1AJ9YEEYGuFCg1xnSd+Xkdq8jb6etAkTHm\niDGmDet4Ms/mTF0ceZxw2HHAqfu5z/fhwVLUy4ALvctfA/bZmOUk3k9mzwC7jTFPdrur+zC6twLL\nBzpbX/rKLCKXYF2zusoY02RXvt70ltkYs9MYk2SMSTfGpGPtZDOMMYdtjPolp/j/8TZWRxtEZDxW\nhzKnzUJ1xrzvfYmITPCuWgTk2RgJrNPu54lIhPffYxFW3wYncNxxwmnHAQfv577fhwey999A/AAv\nY13zasP6h7sdWABsBrZjXYucaXfOHpkXYJ0y2wFs8/5chjUN7V+xPoR8DMTbnbUfmQuwptPtWvc7\nu7OeLnOPbYpxXu/3vt7rUOBFYBewBfia3Vl9+JqzgBzva34biHNApp8Ae7zv9wt4eywPcIbejm+2\nHif6yGTrcaC3TD3uH/D9vI/3yef7sA4Tq5RSSrnEYDn9rpRSSrmeFnWllFLKJbSoK6WUUi6hRV0p\npZRyCS3qSimllEtoUVdKKaVcQou6UkoFOBGJ804nur7H+t+JyH/alUsNPC3qyhYiEmR3BqVcJAtr\nMpdJPYY+nY41+IsaJLSoqwEhIreLyEci8oyIVAP32p1JKRfpGoHvI6yJZ7o+OE8FttqYSw0wLepq\noEzDmoloOdawlk/ZG0cpV+lqkb/NifnUM7GO8U4Zo14NAC3qaqBMA54wxqwwxnQaY1rsDqSUi2Rh\nFfV3sebnjvauywXaRWS5iHwqIrNE5E4AEblIRJ4QkXQRWWJfdOVLwXYHUIPGuVjz2iulfEhEwoCJ\nwDZjTLWIbAQu5UTrPQXAGLPQ+yebejxEOrAE+HBAAiu/0pa68jsRGQ2EYM1wpZTyrSlAE1Dovd11\nCn461vX0XwPzROTNrtZ5j7+/E7heRFaJSPxAhVb+oUVdDYRpwE5jTKfdQZRyoenADnNiys0VWFPz\ndrXUfwisNsZ8o4+/fxp4xRhzkTGmyu9plV9pUVcDYRr6tRql/KXrejoAxphirPnCY4Ht9kRSdtFr\n6srvjDGP2p1BKbcyxny/l3VZXcsiknCah2gDdNwIl9CWulJKDW47gZki8pqIxNodRn01cuIyjFJK\nKaUCmbbUlVJKKZfQoq6UUkq5hBZ1pZRSyiW0qCullFIuoUVdKaWUcgkt6koppZRLaFFXSimlXEKL\nulJKKeUS/wtS+AjpqAz+uAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105e0510>"
      ]
     },
     "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_GAMA15_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
