{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "HELPid=\"HELP_J095937.48+015501.93\"\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import argparse\n",
    "from itertools import product, repeat\n",
    "from collections import OrderedDict\n",
    "import sys\n",
    "\n",
    "from astropy.table import Table\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import multiprocessing as mp\n",
    "import numpy as np\n",
    "import os\n",
    "import pkg_resources\n",
    "from pcigale.data import Database\n",
    "from scipy.constants import c\n",
    "from scipy import stats\n",
    "from pcigale.utils import read_table\n",
    "import matplotlib.gridspec as gridspec\n",
    "from scipy.stats import chisquare\n",
    "from math import log10\n",
    "\n",
    "# Name of the file containing the best models information\n",
    "BEST_RESULTS = \"results.fits\"\n",
    "# Wavelength limits (restframe) when plotting the best SED.\n",
    "PLOT_L_MIN = 0.1\n",
    "PLOT_L_MAX = 5e5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " HELP_J095937.48+015501.93 at z = 0.61\n"
     ]
    },
    {
     "data": {
      "image/png": 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j4qVqt6kYXV3w+ONe6MvMzBpDTfRwSJoCfAWYCDQDx0VER16ZM4BzgHHAg8BZ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\nDjjMzMys4v4/CuWDWYAo1D4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f556ed828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sed = Table.read(\"{}_best_model.fits\".format(HELPid))\n",
    "obs = Table.read(\"part_0.fits\")\n",
    "mod=Table.read(BEST_RESULTS)\n",
    "\n",
    "wavelength_spec = sed['wavelength']\n",
    "z = obs[obs['id'] == HELPid]['redshift'][0]\n",
    "DL = mod[obs['id'] == HELPid]['best.universe.luminosity_distance'][0]\n",
    "\n",
    "\n",
    "obs_fluxes, obs_fluxes_err,filters_wl,mask_ok,mod_fluxes=[],[],[],[],[]\n",
    "del obs_fluxes[:]\n",
    "del obs_fluxes_err[:]\n",
    "del filters_wl[:]\n",
    "del mask_ok[:]\n",
    "del mod_fluxes[:]\n",
    "\n",
    "filters = [item for item in obs.colnames if item not in ('id', 'redshift') and not item.endswith('_err')]\n",
    "filters_err = [item for item in obs.colnames if item not in ('id', 'redshift') and item.endswith('_err')]\n",
    "\n",
    "for filt in filters:\n",
    "    obs_fluxes.append(obs[obs['id'] == HELPid][filt][0])\n",
    "obs_fluxes=np.array(obs_fluxes)\n",
    "\n",
    "for filt in filters_err:\n",
    "    obs_fluxes_err.append(obs[obs['id'] == HELPid][filt][0])\n",
    "\n",
    "for filt in filters:\n",
    "    mod_fluxes.append(mod[mod['id'] == HELPid][\"best.\"+filt][0])\n",
    "\n",
    "with Database() as db:\n",
    "    for name in filters:\n",
    "        tmp = db.get_filter(name)\n",
    "        filters_wl.append(tmp.effective_wavelength/1000.0)\n",
    "\n",
    "xmin = PLOT_L_MIN * (1. + z)\n",
    "xmax = PLOT_L_MAX * (1. + z)\n",
    "\n",
    "k_corr_SED = 1.    \n",
    "\n",
    "for cname in sed.colnames[1:]:\n",
    "    sed[cname] *= (wavelength_spec * 1e29 /  (c / (wavelength_spec * 1e-9)) / (4. * np.pi * DL * DL))\n",
    "\n",
    "wavelength_spec /= 1000.\n",
    "\n",
    "wsed = np.where((wavelength_spec > xmin) & (wavelength_spec < xmax))\n",
    "\n",
    "obs_fluxes=np.array(obs_fluxes)\n",
    "obs_fluxes_err=np.array(obs_fluxes_err)\n",
    "filters=np.array(filters)\n",
    "filters_wl=np.array(filters_wl)\n",
    "mod_fluxes=np.array(mod_fluxes)\n",
    "\n",
    "plt.close('all')\n",
    "\n",
    "figure = plt.figure()\n",
    "gs = gridspec.GridSpec(2, 1, height_ratios=[3, 1])\n",
    "if (sed.columns[1][wsed] > 0.).any():\n",
    "    ax1 = plt.subplot(gs[0])\n",
    "    ax1.loglog(wavelength_spec[wsed], sed['L_lambda_total'][wsed],\n",
    "                       label=\"\", color='white', nonposy='clip',\n",
    "                       linestyle='-', linewidth=0)\n",
    "     \n",
    "    mask_ok = np.logical_and(obs_fluxes > 0., obs_fluxes_err > 0.)\n",
    "\n",
    "    ax1.errorbar(filters_wl[mask_ok], obs_fluxes[mask_ok],\n",
    "                         yerr=obs_fluxes_err[mask_ok]*3, ls='', marker='s',\n",
    "                         label='Observed fluxes', markerfacecolor='None',\n",
    "                         markersize=6, markeredgecolor='b', capsize=0.)\n",
    "\n",
    "    mask = np.where(obs_fluxes > 0.)\n",
    " \n",
    "    figure.subplots_adjust(hspace=0., wspace=0.)\n",
    "\n",
    "    ax1.set_xlim(xmin, xmax)\n",
    "    ymin = min(np.min(obs_fluxes[mask_ok]),\n",
    "                       np.min(mod_fluxes[mask_ok]))\n",
    "    ymax = max(np.max(obs_fluxes[mask_ok]),\n",
    "                           np.max(mod_fluxes[mask_ok]))\n",
    "    ax1.set_ylim(1e-1*ymin, 1e1*ymax)\n",
    "\n",
    "    ax1.set_xlabel(\"Observed wavelength [$\\mu$m]\")\n",
    "    ax1.set_ylabel(\"Flux [mJy]\")\n",
    "    ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "    plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "    plt.setp(ax1.get_yticklabels()[1], visible=False)\n",
    "    \n",
    "    print(\" {} at z = {:.2f}\". format(HELPid, z))\n",
    "   \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "####################################################################################################################\n",
    "\n",
    "### MAIN BEST RESULTS FOR STELLAR PART OF THE SPECTRA AND ATTENUATION:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "stellar mass: 10.61 [stellar mass]\n",
      "V-band attenuation in the birth clouds: 4.00 \n",
      "attenuation in FUV band: 5.33 [mag]\n",
      "attenuation in V band: 1.90 [mag]\n"
     ]
    }
   ],
   "source": [
    "print(\"stellar mass: {:.2f} [stellar mass]\".format(log10(mod[obs['id'] == HELPid]['best.stellar.m_star'][0])))\n",
    "print(\"V-band attenuation in the birth clouds: {:.2f} \".format((mod[obs['id'] == HELPid]['best.attenuation.Av_BC'][0])))\n",
    "print(\"attenuation in FUV band: {:.2f} [mag]\".format((mod[obs['id'] == HELPid]['best.attenuation.FUV'][0])))\n",
    "print(\"attenuation in V band: {:.2f} [mag]\".format((mod[obs['id'] == HELPid]['best.attenuation.V_B90'][0])))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Below on the plot stellar components (attenuated and unattenuated) are plotted against observed fluxes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best model for HELP_J095937.48+015501.93 at z = 0.61. best log(Mstar) = 10.61\n"
     ]
    },
    {
     "data": {
      "image/png": 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el5EzxhhjTJkp1wmHqn4IHA11HMYYY0xFZ2M4jDG5gj0GIj4+b/xFYYNBjTHlU1gmHCLS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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f52b3f860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if (sed.columns[1][wsed] > 0.).any():\n",
    "    ax1 = plt.subplot(gs[0])\n",
    "    ax1.loglog(wavelength_spec[wsed], (sed['stellar.young'][wsed] + sed['attenuation.stellar.young'][wsed] + \n",
    "               sed['stellar.old'][wsed] + sed['attenuation.stellar.old'][wsed]), \n",
    "               label=\"Stellar attenuated \", color='orange', marker=None, nonposy='clip', linestyle='-', linewidth=0.5)\n",
    "    ax1.loglog(wavelength_spec[wsed], (sed['stellar.old'][wsed] +  sed['stellar.young'][wsed]), \n",
    "               label=\"Stellar unattenuated\", color='b', marker=None, nonposy='clip', linestyle='--', linewidth=0.5)\n",
    "    ax1.loglog(wavelength_spec[wsed], sed['L_lambda_total'][wsed], label=\" \", color='white', nonposy='clip', \n",
    "               linestyle='-', linewidth=0)\n",
    "\n",
    "    ax1.set_autoscale_on(False)\n",
    "    mask_ok = np.logical_and(obs_fluxes > 0., obs_fluxes_err > 0.)\n",
    "    ax1.errorbar(filters_wl[mask_ok], obs_fluxes[mask_ok], yerr=obs_fluxes_err[mask_ok]*3, ls='', marker='s', \n",
    "                 label='Observed fluxes', markerfacecolor='None',markersize=6, markeredgecolor='b', capsize=0.)\n",
    "\n",
    "    mask = np.where(obs_fluxes > 0.)\n",
    "\n",
    "    figure.subplots_adjust(hspace=0., wspace=0.)\n",
    "\n",
    "    ax1.set_xlim(xmin, xmax)\n",
    "    ymin = min(np.min(obs_fluxes[mask_ok]), np.min(mod_fluxes[mask_ok]))\n",
    "    ymax = max(np.max(obs_fluxes[mask_ok]), np.max(mod_fluxes[mask_ok]))\n",
    "    ax1.set_ylim(1e-1*ymin, 1e1*ymax)\n",
    "\n",
    "    ax1.set_xlabel(\"Observed wavelength [$\\mu$m]\")\n",
    "    ax1.set_ylabel(\"Flux [mJy]\")\n",
    "    ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "    plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "    plt.setp(ax1.get_yticklabels()[1], visible=False)\n",
    "    print(\"Best model for {} at z = {:.2f}. best log(Mstar) = {:.2f}\". format(HELPid, z,log10(mod[obs['id'] == HELPid]['best.stellar.m_star'][0])))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MAIN BEST RESULTS FOR DUST EMISSION:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "power law slope dU/dM (alpha) : 2.00\n",
      "fraction illuminated from Umin to Umax (gamma): 0.01 \n",
      "mass fraction of PAH: 3.90 \n",
      "minimum radiation field: 1.00 \n",
      "best dust luminosity: 11.22 [stellar luminosity]\n"
     ]
    }
   ],
   "source": [
    "print(\"power law slope dU/dM (alpha) : {:.2f}\".format((mod[obs['id'] == HELPid]['best.dust.alpha'][0])))\n",
    "print(\"fraction illuminated from Umin to Umax (gamma): {:.2f} \".format((mod[obs['id'] == HELPid]['best.dust.gamma'][0])))\n",
    "print(\"mass fraction of PAH: {:.2f} \".format((mod[obs['id'] == HELPid]['best.dust.qpah'][0])))\n",
    "print(\"minimum radiation field: {:.2f} \".format((mod[obs['id'] == HELPid]['best.dust.umin'][0])))\n",
    "print(\"best dust luminosity: {:.2f} [stellar luminosity]\".format(log10((mod[obs['id'] == HELPid]['best.dust.luminosity'][0])/(3.846*pow(10,26)))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Below on the plot dust component is  plotted against observed fluxes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best model for HELP_J095937.48+015501.93 at z = 0.61. best log(Ldust) = 11.22\n"
     ]
    },
    {
     "data": {
      "image/png": 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lEu1SqcgslYSKgGUSDRqtITZv9t+j62eEx3CA/yv1iy/8ANJNpcz4/u03aNjQ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\nlJJoSAfzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f529e17b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if (sed.columns[1][wsed] > 0.).any():\n",
    "    ax1 = plt.subplot(gs[0])\n",
    "\n",
    "    ax1.loglog(wavelength_spec[wsed],\n",
    "                           (sed['dust.Umin_Umin'][wsed] +\n",
    "                            sed['dust.Umin_Umax'][wsed]),\n",
    "                           label=\"Dust emission\", color='r', marker=None,\n",
    "                           nonposy='clip', linestyle='-', linewidth=0.5)\n",
    "    ax1.loglog(wavelength_spec[wsed], sed['L_lambda_total'][wsed],\n",
    "                       label=\"\", color='white', nonposy='clip',\n",
    "                       linestyle='-', linewidth=0)\n",
    "\n",
    "    mask_ok = np.logical_and(obs_fluxes > 0., obs_fluxes_err > 0.)\n",
    "    ax1.errorbar(filters_wl[mask_ok], obs_fluxes[mask_ok],\n",
    "                         yerr=obs_fluxes_err[mask_ok]*3, ls='', marker='s',\n",
    "                         label='Observed fluxes', markerfacecolor='None',\n",
    "                         markersize=6, markeredgecolor='b', capsize=0.)\n",
    "\n",
    "    mask = np.where(obs_fluxes > 0.)\n",
    "\n",
    "    figure.subplots_adjust(hspace=0., wspace=0.)\n",
    "\n",
    "    ax1.set_xlim(xmin, xmax)\n",
    "    ymin = min(np.min(obs_fluxes[mask_ok]),\n",
    "                       np.min(mod_fluxes[mask_ok]))\n",
    "    ymax = max(np.max(obs_fluxes[mask_ok]),\n",
    "                           np.max(mod_fluxes[mask_ok]))\n",
    "    ax1.set_ylim(1e-1*ymin, 1e1*ymax)\n",
    "\n",
    "\n",
    "    ax1.set_xlabel(\"Observed wavelength [$\\mu$m]\")\n",
    "    ax1.set_ylabel(\"Flux [mJy]\")\n",
    "    ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "    plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "    plt.setp(ax1.get_yticklabels()[1], visible=False)\n",
    "    print(\"Best model for {} at z = {:.2f}. best log(Ldust) = {:.2f}\". format(HELPid, z,log10((mod[obs['id'] == HELPid]['best.dust.luminosity'][0])/(3.846*pow(10,26)))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MAIN BEST RESULTS FOR AGN component:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best fraction of AGN : 0.40\n",
      "best AGN liminosity: 11.16 [stellar luminosity]\n"
     ]
    }
   ],
   "source": [
    "print(\"best fraction of AGN : {:.2f}\".format((mod[obs['id'] == HELPid]['best.agn.fracAGN'][0])))\n",
    "if mod[obs['id'] == HELPid]['best.agn.fracAGN'][0]>0:\n",
    "    print(\"best AGN liminosity: {:.2f} [stellar luminosity]\".format(log10((mod[obs['id'] == HELPid]['best.agn.luminosity'][0])/(3.846*pow(10,26)))))\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best model for HELP_J095937.48+015501.93 at z = 0.61. best AGNfrac) = 0.40\n"
     ]
    },
    {
     "data": {
      "image/png": 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T8vREkVBpafvfKzt2QKtWMHz4getqlKe8xIYSDhERSSiRLoURB0tnCEo4DqBBoyLhC+0e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\nkkTNlgEAAAABSURBVI9VP+NZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f52b22c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if mod[obs['id'] == HELPid]['best.agn.fracAGN'][0]>0:\n",
    "\n",
    "    if (sed.columns[1][wsed] > 0.).any():\n",
    "        ax1 = plt.subplot(gs[0])\n",
    "        ax1.loglog(wavelength_spec[wsed],(sed['agn.fritz2006_therm'][wsed] + sed['agn.fritz2006_scatt'][wsed] + \n",
    "                    sed['agn.fritz2006_agn'][wsed]),label=\"AGN emission\", color='g', marker=None, nonposy='clip', linestyle='-', linewidth=0.5)\n",
    "        ax1.loglog(wavelength_spec[wsed], sed['L_lambda_total'][wsed], label=\"\", color='white', nonposy='clip',\n",
    "                       linestyle='-', linewidth=0)\n",
    "\n",
    "        mask_ok = np.logical_and(obs_fluxes > 0., obs_fluxes_err > 0.)\n",
    "        ax1.errorbar(filters_wl[mask_ok], obs_fluxes[mask_ok], yerr=obs_fluxes_err[mask_ok]*3, ls='', marker='s',\n",
    "                label='Observed fluxes', markerfacecolor='None',markersize=6, markeredgecolor='b', capsize=0.)\n",
    "\n",
    "        mask = np.where(obs_fluxes > 0.)\n",
    "\n",
    "        figure.subplots_adjust(hspace=0., wspace=0.)\n",
    "\n",
    "        ax1.set_xlim(xmin, xmax)\n",
    "        ymin = min(np.min(obs_fluxes[mask_ok]), np.min(mod_fluxes[mask_ok]))\n",
    "        ymax = max(np.max(obs_fluxes[mask_ok]), np.max(mod_fluxes[mask_ok]))\n",
    "        ax1.set_ylim(1e-1*ymin, 1e1*ymax)\n",
    "\n",
    "        ax1.set_xlabel(\"Observed wavelength [$\\mu$m]\")\n",
    "        ax1.set_ylabel(\"Flux [mJy]\")\n",
    "        ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "        plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "        plt.setp(ax1.get_yticklabels()[1], visible=False)\n",
    "\n",
    "    print(\"Best model for {} at z = {:.2f}. best AGNfrac) = {:.2f}\". format(HELPid, z,(mod[obs['id'] == HELPid]['best.agn.fracAGN'][0])))    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### In the last step all modules are merge together to computed one best model (based on the $\\chi^2$) marked as a black line in the figure below. \n",
    "\n",
    "Modeled fluxes for each filter used for SED fitting are calculated based on the best model. The relative residual fluxes are ploted in the bottom panel of the figure. \n",
    "\n",
    "Final $\\chi^2$ value as well as main physical parameters computed based on PDF analysis are listed below:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "reduced $\\chi^2$ : 1.26 \n",
      "bayesian stellar mass 10.62 +/- 3.12 [M sun]:\n",
      "bayesian dust luminosity: 11.20 +/- 4.47 [L sun]\n",
      "bayesian SFR 13.39 +/- 3.51 [M sun / yr]:\n",
      "bayesian AGN fraction 0.40 +/- 0.02:\n"
     ]
    }
   ],
   "source": [
    "print(\"reduced $\\chi^2$ : {:.2f} \".format((mod[obs['id'] == HELPid]['best.reduced_chi_square'][0])))\n",
    "print(\"bayesian stellar mass {:.2f} +/- {:.2f} [M sun]:\".format(log10(mod[obs['id'] == HELPid]['bayes.stellar.m_star'][0]),0.434*(mod[obs['id'] == HELPid]['bayes.stellar.m_star'][0])/(mod[obs['id'] == HELPid]['bayes.stellar.m_star_err'][0])))\n",
    "print(\"bayesian dust luminosity: {:.2f} +/- {:.2f} [L sun]\".format(log10((mod[obs['id'] == HELPid]['bayes.dust.luminosity'][0])/(3.846*pow(10,26))),0.434*(mod[obs['id'] == HELPid]['bayes.dust.luminosity'][0])/(mod[obs['id'] == HELPid]['bayes.dust.luminosity_err'][0])))\n",
    "print(\"bayesian SFR {:.2f} +/- {:.2f} [M sun / yr]:\".format((mod[obs['id'] == HELPid]['bayes.sfh.sfr10Myrs'][0]),(mod[obs['id'] == HELPid]['bayes.sfh.sfr10Myrs_err'][0])))\n",
    "print(\"bayesian AGN fraction {:.2f} +/- {:.2f}:\".format((mod[obs['id'] == HELPid]['bayes.agn.fracAGN'][0]),(mod[obs['id'] == HELPid]['bayes.agn.fracAGN_err'][0])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best model for HELP_J095937.48+015501.93 at z = 0.61, best(Mstar) = 10.61, best log(Ldust) = 11.22, best AGNfrac = 0.40\n"
     ]
    },
    {
     "data": {
      "image/png": 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HVGCqQpE7THEW/P0jmDRxIoFBQcBmvvz0U/wBy/QxxL07JPXpQ8yffwKP68fSrZjotmMC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\nbl4Ml1/vXLvDpQNbieJ1LCzexNK2Ay7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z0rmbADIwMFAWdO7uUmqLqkj5558573/rlpTT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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f52afcbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if (sed.columns[1][wsed] > 0.).any():\n",
    "    ax1 = plt.subplot(gs[0])\n",
    "    ax2 = plt.subplot(gs[1])\n",
    "    # Stellar emission\n",
    "    ax1.loglog(wavelength_spec[wsed], (sed['stellar.young'][wsed] + sed['attenuation.stellar.young'][wsed] + \n",
    "               sed['stellar.old'][wsed] + sed['attenuation.stellar.old'][wsed]), label=\"Stellar attenuated \", \n",
    "               color='orange', marker=None, nonposy='clip', linestyle='-',linewidth=0.5)\n",
    "    ax1.loglog(wavelength_spec[wsed],(sed['stellar.old'][wsed] + sed['stellar.young'][wsed]), \n",
    "               label=\"Stellar unattenuated\", color='b', marker=None,nonposy='clip', linestyle='--', linewidth=0.5)\n",
    "    #Dust emission\n",
    "    ax1.loglog(wavelength_spec[wsed], (sed['dust.Umin_Umin'][wsed] + sed['dust.Umin_Umax'][wsed]), \n",
    "               label=\"Dust emission\", color='r', marker=None, nonposy='clip', linestyle='-', linewidth=0.5)\n",
    "    # AGN emission Fritz\n",
    "    if 'agn.fritz2006_therm' in sed.columns:\n",
    "        ax1.loglog(wavelength_spec[wsed], (sed['agn.fritz2006_therm'][wsed] + sed['agn.fritz2006_scatt'][wsed] + \n",
    "                sed['agn.fritz2006_agn'][wsed]), label=\"AGN emission\", color='g', marker=None, nonposy='clip', \n",
    "                   linestyle='-', linewidth=0.5)\n",
    "\n",
    "    ax1.loglog(wavelength_spec[wsed], sed['L_lambda_total'][wsed], label=\"Model spectrum\", color='k', nonposy='clip',\n",
    "                       linestyle='-', linewidth=1.5)\n",
    "\n",
    "    ax1.set_autoscale_on(False)\n",
    "    ax1.scatter(filters_wl, mod_fluxes, marker='o', color='r', s=8,zorder=3, label=\"Model fluxes\")\n",
    "    mask_ok = np.logical_and(obs_fluxes > 0., obs_fluxes_err > 0.)\n",
    "    ax1.errorbar(filters_wl[mask_ok], obs_fluxes[mask_ok], yerr=obs_fluxes_err[mask_ok]*3, ls='', marker='s', \n",
    "                 label='Observed fluxes', markerfacecolor='None', markersize=6, markeredgecolor='b', capsize=0.)\n",
    "\n",
    "    mask = np.where(obs_fluxes > 0.)\n",
    "    ax2.errorbar(filters_wl[mask],(obs_fluxes[mask]-mod_fluxes[mask])/obs_fluxes[mask],  \n",
    "                 yerr=obs_fluxes_err[mask]/obs_fluxes[mask]*3, marker='_', label=\"(Obs-Mod)/Obs\", color='k', capsize=0.)\n",
    "    ax2.plot([xmin, xmax], [0., 0.], ls='--', color='k')\n",
    "    ax2.set_xscale('log')\n",
    "    ax2.minorticks_on()\n",
    "\n",
    "    figure.subplots_adjust(hspace=0., wspace=0.)\n",
    "\n",
    "    ax1.set_xlim(xmin, xmax)\n",
    "    ymin = min(np.min(obs_fluxes[mask_ok]),np.min(mod_fluxes[mask_ok]))\n",
    "    ymax = max(np.max(obs_fluxes[mask_ok]),np.max(mod_fluxes[mask_ok]))\n",
    "    ax1.set_ylim(1e-1*ymin, 1e1*ymax)\n",
    "    ax2.set_xlim(xmin, xmax)\n",
    "    ax2.set_ylim(-1.0, 1.0)\n",
    "\n",
    "    ax2.set_xlabel(\"Observed wavelength [$\\mu$m]\")\n",
    "    ax1.set_ylabel(\"Flux [mJy]\")\n",
    "    ax2.set_ylabel(\"Relative residual flux\")\n",
    "    ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "    ax2.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5)\n",
    "    plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "    plt.setp(ax1.get_yticklabels()[1], visible=False)\n",
    "    \n",
    "    print(\"Best model for {} at z = {:.2f}, best(Mstar) = {:.2f}, best log(Ldust) = {:.2f}, best AGNfrac = {:.2f}\". \n",
    "          format(HELPid, z,log10(mod[obs['id'] == HELPid]['best.stellar.m_star'][0]),\n",
    "                 log10((mod[obs['id'] == HELPid]['best.dust.luminosity'][0])/(3.846*pow(10,26))), \n",
    "                 mod[obs['id'] == HELPid]['bayes.agn.fracAGN'][0]))    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Global redshift vs stellar mass, redshift vs dust luminosity and redshift vs SFR relations:\n",
    "\n",
    "### In three figures below red star corresponds to the analized galaxy: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## redshift vs stellar mass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.5/site-packages/matplotlib/axes/_axes.py:531: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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zb948mpubcXV1pampCVmW0Wq1LFu2jGXLlvGrX/2KnJwc9u/fz+OPP86WLVvw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\nhBBC+N3/A2koVrBaQ3smAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f5284da90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "mstar,red,ldust,sfr=[],[],[],[]\n",
    "for gal in range(0,len(mod)):\n",
    "    if mod[gal]['best.reduced_chi_square']<4:\n",
    "        mstar.append(log10(mod[gal]['bayes.stellar.m_star']))\n",
    "        red.append((mod[gal]['redshift']))\n",
    "        ldust.append(log10(mod[gal]['bayes.dust.luminosity']/(3.846*pow(10,26))))\n",
    "        sfr.append(log10(mod[gal]['bayes.sfh.sfr10Myrs']))\n",
    "\n",
    "mstar=np.array(mstar)\n",
    "red=np.array(red)\n",
    "ldust=np.array(ldust)\n",
    "sfr=np.array(sfr)\n",
    "\n",
    "ax1 = plt.subplot(gs[0])\n",
    "\n",
    "ax1.plot(red, mstar,'-o',c='lightgray',linewidth=0,linestyle=' ')\n",
    "specific_mstar=log10(mod[obs['id'] == HELPid]['bayes.stellar.m_star'][0])\n",
    "ax1.plot(z,specific_mstar,'-*',c='red',markersize=15)\n",
    "\n",
    "ax1.set_xlabel(\"redshift\")\n",
    "ax1.set_ylabel(\"log(Mstar)\")\n",
    "ax1.set_ylim(7, 12)\n",
    "\n",
    "ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## redshift vs dust luminosity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.5/site-packages/matplotlib/axes/_axes.py:531: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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soKCAv//97/zmN79hwYIFDsan+XAqZz3h2sj3wMBAvv76a6qqqpg/fz69e/d2\nuLlZrVbOnTsnnqynTZtGXFyc0KiYPn06zzzzjNMnyOPHj7NhwwaMRiPZ2dmYTCb27NnDvHnzCA0N\nZc+ePRQWFjqkOP72t7/RpUsXsQaDwQD8JACmiTn9+te/5qOPPmL9+vWkpKTQv39/9Ho9+fn5eHl5\nERwczJo1a8TTbXx8PLt27cJqtfLKK68wadIkbDYbFouFu+66i4ceeojly5fz9NNPk5ubS5cuXTCb\nzbi5uVFZWSlqQfR6Pa6urlitVoqKiigvL0ev16OqKhs3bqS6utpBXEqv1/P999+TlJTUwrH09vZm\n1KhRYghcUlISEyZMcEgvaZGlwYMHi4iPs1oOLTWj1+udGmdn6YP2Ephq/vuy//7CwkJOnTrlVIRL\nozURrrlz55KXl+ewnf32zY/J/qly5syZnD592sHhtHfCAgICuOWWW/D19b3k8V1vpLNx49NR11C2\nxUqAn27mffv2JT09ndTUVLp27epQWNla65RmPAICAli0aFGLlkmAAQMGoCgKf/rTnzh06BBTpkwh\nISGBKVOmcPDgQWbOnElUVBSA07bMkpISAgICSEpKYsCAATQ2NhIVFYXNZhMtmOnp6UyYMAFXV1d2\n7NhBUlISer2eY8eOOTxh9+zZs8Vx2Is0xcfH88orr6AoCi4uLqKg79ixY9TV1ZGfn09xcTEPPvgg\nBoNBGCeNgoICBg4cyN69e+nVqxfvvvsuH3/8MS+99BJ6vZ7AwEDi4uJEfYZ9K6nRaOSjjz5i7dq1\nuLq6oigKu3fvprGxkaKiIurr6ykrK+PIkSMOx2Y2m/nNb35DbW0tVquVyspKLBYLZ86coXv37qxf\nv57Vq1ejKApDhw6loKCAgoIC7rnnHtEZo11HNze3Fg5ZVlYWMTExQi3UYDAI1dHmlJSUEBISIlIU\nzeXZtfPdvGXU/jPOig3tHQV7gx4SEkJERESbW0ad/b7s95Wfny8k051RUFAgtFTs8fHx4cknn2x1\nO2fHpD1V7tq1i/DwcIqKilq0CG/cuJHBgwfzyCOPtOn4JJLOinQ4bnDaq7+9+c28eTeCoiicPXu2\n1e8LCAjgrrvu4siRIyK3n5aWxu9//3vGjRtHdHQ0np6e5OXlMWTIEFatWsXAgQMB+OKLL1i3bh3H\njh2jurq6hWOjrUUr2Pzyyy/x8/MjJCSEAQMG8NFHHwm9h+7du4s0iMViwc/Pj9LSUofx7/aFoHAh\nGpGRkcGOxjPqAAAgAElEQVTJkycxm82kp6cTGxsLIDphNIOrKAoZGRnU1taKVImmEGl/Pfz9/QGY\nNWsWq1atQlEUevbsiZ+fn1BFrampwWAwUF9fL1JBo0ePZsOGDdx+++1UVVXR1NTEunXrmDhxIitX\nrsTLywsvLy8OHjyIwWAQ+hd1dXVUVVXh6+vLxIkTOXfuHLGxsdTV1VFXV4der+fBBx/E1dWVL774\ngg0bNqCqKs899xxGo5GCggJUVSUgIMAhYqPRXGOkNd2K5q97e3uLWg7NKYyNjSUhIYH9+/eTlpYm\nJNy17QsKCsjNzWXOnDkO+27NUQCEo3Ap2qobYTQaWb58Ofn5+Q5ry8/P56WXXsJoNDrdfuHCheTm\n5orzealjsmfu3Lls3brVYVugTdtKJDcCMqVyA9IRWhfNleacdSPU19e36CrQ3u/fvz+pqan06NED\nq9UqWi/j4uI4duwY27dvR6fTERUVRf/+/YmOjiYxMdEh7bJjxw6GDx9OQ0NDi7B0TU0NJSUlREdH\ns2LFCvr27cvZs2f59NNPKSgoYPbs2QQHB7NlyxaampqYN28eeXl5Ldpdm49/12o8EhMTqaur49ln\nn2XixInU1dXx2WefiehFSUkJTz31FO7u7jzwwAPCKAQGBnL77bezbNkykXc3GAwcOXIEDw8PVq1a\nhcFgEDoNNTU1FBcX09jYSHx8PGvXruXhhx8mPz+fXr16sWnTJuLi4li3bh02mw0PDw8aGxt55513\nGDBgACdPnhTHdO7cObp37w5cSJ0cPXoUPz8/3nnnHQYNGoSHhwcPP/wwL7/8MlOnTiUuLo7CwkJi\nYmIIDAxk6tSpLWS3XV1dhSCVs7bYi/0+WnvdbDazc+dOkdayv+Y7d+5kyZIlbN26FS8vr1aLDdvq\nKFyqfsBZO6w9Wtrj1ltvFZLpq1atwtvbG7PZzG233SZSf864mgJKWXwpudmRDscNRkcMSmrtZm6v\nS1BWVoaHhwc5OTnU1ta2GD1utVrp168fP/zwA5s2baJ379789re/JTc3lwkTJvDPf/5TFBJGRUW1\nqBGwWq288cYbzJw5k4MHD7ao1L/nnns4evQoWVlZ9OrVi7Nnz/Lcc88xb948srKyRGSmrKwMd3d3\nQkNDMRqNBAYGsm/fPoduiTFjxrB69WoqKyvJzMwUNRraQLMtW7ZgtVrx8fGhvr6eXbt24enpyfz5\n8/H19eXLL78Uok1aK+XUqVN59dVXWblyJU1NTfziF79g4MCBfPjhh7i4uNCtWzdOnjzJww8/zJdf\nfklDQwMjR45k5cqVDBo0SJzXLl26cOzYMQwGAw0NDdhsNtzd3YmKiiIrKwuDwUCPHj04ceIEw4YN\n4/Dhw8AFY1VXV0dTUxNpaWlMnDgRX19fHnnkEUpKShg2bBghISGsWbNGnKvGxkZU9YLsdnR0tHCs\nmpqaHBzLi7XCOuuosO9iUVUVd3d31q1bR1JSUgsRsEcffRQ3NzfOnDnDokWLLupQtJfAVFt1I+wl\n0y/WUdWcqymglMWXkpsZmVK5wWivPDb8FP53lmaAC7oERqORHTt2MHXqVGpqali0aBEbNmxg8ODB\nQq46JyeHpKQkTp8+jU6nY+/evZSVlQmp8LCwMKqqqujSpQvZ2dkYDIYWN3tNdTMoKIiGhgb+8pe/\nsGvXLrEmm83GmTNnKC0tpampidraWsrLywkODkav12O1WklPT6eqqgpvb28URSEwMJCBAwdisVgo\nLCwUI+H//ve/4+rqyvr16+nWrZuo0dizZw/Hjx+nd+/e/PKXv2T8+PEimnT69Gl++OEHqqqq8PT0\nxN3dnZycHIqLi0lNTeW7777DZrPh4uLCPffcQ2VlJZGRkfj4+Ii0gqurK3fffTdlZWX4+flhsVhw\nc3MjKyuL8PBwvLy8sNlslJSUoNfr8fHxwdPTk6amJh588EG8vLxoaGigrKyM8vJyDh48SFVVFYWF\nhdx///1YLBasVqtwUrSoxLFjxwgNDcVsNuPh4SF+N1qkprkEuV6vJycnxyG0r3Wc2KNJrDdPO/Tv\n35/ly5eL7X18fEQKzBkjRoygoKDgksb1cmW3WyMlJaVF6uJSaY+2OhvNuRqHQTobkpsNGeG4wbja\nQUnO0jHDhg1Dp9M5KCTCTyqJU6dOxWaz8etf/5o1a9Y4HT0eGhpKTU0N69evFxETTSq8vLycmpoa\nvL29OXDggGifLS8vZ8GCBaI2RIsWREREoKoqK1euZMmSJUJQSafT4eLiwr333sv27dvx8/NDp9Nh\nMplISkoiMjKSoqIi0Xmh7W/ixImsWrVKzD3p3bs3vXv35ttvv8XPzw9FUdi0aRO+vr6UlpaKJ8u3\n336b+fPnM2DAACIjI/H39+eHH36gsrLSQUFSS0Voc00WLlwoJrNaLBY8PDxEaiQ3N1ekRrKysvD2\n9sbLy4v8/HyampqoqKjgjjvuEA7MLbfcgtlsRqfTYbVa8fb2FvuPj49n4MCBxMfHM2HCBFGE+pe/\n/EVEJWw2m3A8srOzgZ+enKdMmUJiYiLbt28nMjLSYcJp804Ji8XCZ599Rk1NjYNkvPZ7evXVVzEY\nDCIFUFRUxLp165g5cyZVVVXcfvvtV50OaS+BKZm6kEiuD9LhuIFoLfWh3agvdeO+mL5FVFSUEFuy\nv5kXFxeLp/PnnnuOyMhIFi9e3OK7zWYz27ZtY9q0aWRkZNDQ0CBmhkybNo1nn32W9PR0br31VpH6\nmDx5MikpKQQHB5OYmEh2djYRERHk5uYyZswYPvnkE2bPns3Ro0fZsWMH06dPZ926dULK22QyYTab\nKS8vZ968eYSEhJCWlkbPnj1FjcbixYtZuHAhDQ0NQhQLoLGxURR9aqkEi8UicvV+fn6cPHmSkJAQ\nvvrqK7p27UplZSUuLi5CDEtr6dTqQO6++27OnTuHt7c369evJz4+XqRAvvnmGxobGxk9ejRvvfUW\n5eXlFBUVUVdXx6RJk/j6668pKytDp9Nx/vx5dDodtbW1nD59Gh8fH1RVJSgoiKKiIubPn4+Xl5fo\nBMrOziYpKYnevXvj6urKkSNHeOSRRzh9+jS7d+92OMZhw4aJdILBYGD16tVMmjTJwYE0m81O21Xt\n6100yXibzcbu3bvZunUr27Ztc2jb1FIDc+bMYceOHVedDmlPR+Hnkrq4mY9NcuPRKRwORVFCgdnA\nfcAtwJOqqr7943uuwBJgFPBLoArYCcxVVfX09Vnx9cE+9aGJLNmLawUEBGA2m1u9wVxM3yIkJISA\ngAAWLlxIamoq3t7emEwm3Nzc6Nevn3iq79Onj/ju/fv3i0mjAElJSYSFhbFv3z4+//xzKisr2bRp\nEwaDgRMnTuDl5SVEqJKTkx2ko7WiUFVVRb1CYmIieXl5REREsGPHDh599FG++uor9u/fj16vp7q6\nmhdffFGkRRTlwkC3//7v/2b58uXU1tbyxhtvEBUVRXBwME8//bSQyz59+jSNjY08+uijFBYWotfr\nqaio4NSpU/j6+mKxWPDx8eE///kPs2bNolevXri6uvLLX/6SL7/8UoTg77vvPqZNm0ZSUpKD7oa/\nvz/Z2dmkp6ezfft2fvWrX2Gz2YTa5F133cWzzz5LQkICubm5REZGEhUVxR/+8AfMZjN1dXV06dKF\nmpoaHnjgAVEv8t577zFt2jQ2btzooP2htQfX19dz6623MnHiRCEudvvtt1NQUOBUWEqv1+Pv7++Q\nnmsuOa69l5eXx6xZsxyG12m/PX9/fxYvXuw0pbdw4ULeeeedVmXMLycd0hGOws1mkDtqgOKNjnS+\nrj+dpYbDAJQC8UDzvks9EAD8LxAI/DcwAHjrWi6wsxAWFsbHH3/cYux3ZmYmQ4YMoaqqCpPJ5HTb\n1vQtgoODsVgsLFiwgMjISN58802MRiN///vfmTlzJidOnKCqqgqAsrIyoYXh5ubGs88+K/QBQkND\n+eqrr/jss89EXcWePXvo2rUrhYWFeHp64uPjQ1xcHCaTSdROpKenc+7cOVxcXCgtLSUgIIDy8nKh\nMXH06FF8fHxQFIUnn3ySpUuXcv78eeLi4jh06JBIi1gsFmw2G1u2bGHatGlkZmYyYcIEAgMDycjI\nwGQycf78eaFVcc899zBw4EBycnL44YcfRD5/+PDh9OzZk6qqKpKTk+nVqxfDhw9Hp9Px7bffsnDh\nQrp3747RaGTJkiVCuEursSgsLBRqq8ePHxeqlOfOnRNOVu/evdHpdDzyyCMsXryYzZs3M27cOAAm\nTZqEq6srf/nLXzAYDERERLBq1So+//xzevXqRWhoqJj7Aj91kbi4uNCrVy+qqqrQ6/WsWbOG+++/\nn6+++ooXX3yRyspKISz1xRdfCIdHGzqn4ebm1qKGQ1VV9uzZQ2BgoNOR86NGjSI3N9fpb8/Hx4eP\nP/6Yl19+2aEup63toq1xMxuPK213d6ank56eTt++fRkzZkyr94abFZPJxIIFCwgLC+Oxxx4jLCyM\nBQsW/OzOQ2ehUzgcqqpuV1X1eVVV3wKUZu9Vq6r6mKqqb6iq+rWqqv8EZgD3KYrS97os+DqSkpJC\nZmammPyZkZFBbGysSEnceeedvPDCCy22a56OsVgsvPzyy9TV1QmdCU0cS0vPaLUZXl5e3H333eTn\n52O1WomMjOTYsWMi/TFkyBBuvfVWzp49S2JiIn/+85+x2WxkZGQAiEJGrQDy4YcfpkuXLqJrZMiQ\nIeTk5FBWVoaXlxebNm2iS5cuQj+jpKQEs9ksBrX9z//8D+7u7jz00EN07drVQeG0T58+uLm58eqr\nr1JfXy/ULgcPHswdd9yB1WqlZ8+eeHh48Nxzz5Gbm0t4eLhIbXh7exMRESEkxxsaGvDz8yMmJkZE\nR0JCQrj//vt58skn+fLLL8VwNKvVSq9evcjKymLKlCn079+fwYMH4+vryz333ENjY6ODkFq3bt2w\nWq3C0TMYDMycOZO33noLX19fPvjgA1RVZcGCBcTFxfHll1/S2NiIoij4+vqKIk6tXkMrKNUKSbXB\ncv/4xz/Ytm2bUDZtLiw1cuRIsS+bzYafn5+DUzJz5kymTJnSYnidfVQkNDSU2bNns2zZMqe/2z59\n+rB3717OnDnDjBkzSE5OZsaMGZw6dUrWTfxIexjH9iwqv9GRzlfno1M4HFdAVy5EQs5f74Vca3x8\nfOjWrVuLJ82lS5cSEBDAiRMn+PDDDwkJCXG4WdmnY7SuhICAAFHzYS/s1FygyWKxkJyczLJly8SA\ntpKSEtGFEhoayunTp5k2bRpeXl6EhIRQX1/P8ePH8fT0JCAgAC8vL6qrq8WTuMlkEp0pISEheHt7\n89BDD1FZWcnBgwcxmUzCwHt5eVFfX8+LL76IwWBg+PDh+Pr6YjQaURSFAQMG8OKLLxIdHU1TU5Nw\nlvr06SMMZGhoKA0NDaxbt46jR4+i1+uFBsXhw4dpaGjgxIkT6HQ6cnNzmTdvHunp6SKtodfrhVCX\noiiEh4ezbt063NzcAESNhdlsZuDAgcTExJCXl0dQUBDV1dUADoJa2hq1c6Cd+5EjR7J69WpMJhPF\nxcV4e3sTGRnJyJEjRd2Cqqo0NTU5RCECAgJwd3cXba9LlixxENTS6/WMGzeOFStWtBCWsu8q0epx\ntBoOzSl55ZVX0Ol0LQTA7AkLC6OgoOCiv11NVfPDDz9k165dLFq0SDobtI9xNJlMvPXWW1ctjnaz\nIJ2vzscN53AoiuIBLAVeU1XVfL3Xc61Rf5x3Yf+kqUUKAgICyMnJ4bXXXmPdunUtblaa1oR9NCMw\nMJCdO3eKgWfl5eVERUVx7733CmPTpUsXXnvtNXx9fdHr9QCiC0W7uZlMJtzd3UX9Q1NTE5mZmfTq\n1Ys77rgDk8lETU0N3333neg42bNnj8PNccqUKVgsFlxcXPD39+f06QslOlarlS5duojiTc3RKCkp\n4Ve/+hUff/wxhw8fJjg4GDc3N/z9/YmLixNTZbWUkU6n4+jRo2zYsAGz2SyM7uHDh+nTpw+lpaUM\nHz6cffv2ERISwp133kl1dTUBAQHs3r1b1M6oqkpeXh5z587FZrOJQsyYmBgsFgt79+7l+PHj4hxr\no+K17hmNoKAg9u7dK86BJlBmMBjw9/ensbGR6upqh5obTeNCc5a0KMThw4c5deoUer2eOXPm8MYb\nb1BSUsK4ceP4/e9/T3R0NOnp6YwdO5Zvv/3WIcpQUVFBUVERp06dYsaMGSItpKHdrAMCAsQQOWfY\nFy1fips5HXIlXK1xNJlMjB49Gl9f33a5PjcD7aFMK2lfbiiH48cC0jwuRDdaThH7GaBFKuyfNJun\nQ7TPhYSEMGbMGJ588knCwsLYs2cPS5cudTD04eHhrF69mvr6esxmM1OnTiUxMVHMzIALEY+CggIm\nT56M1WoFEJ0aWjeLm5sbOp2O6upqsrKy0Ol0rF+/nq5du7J27Vp0Oh1ubm5idoc2QMz+5mgwGNiw\nYQOnT59m0aJFQj8jKChIFHFqxaW/+c1vhEDVc889R79+/VAUhaamJv79738TGhoqDKTmkEVERGA0\nGklISMBgMIh5K7W1tTQ2NuLl5UVMTIw4f6qq0tDQwIABA9i0aRNWq5Xa2lry8/PF+ffz82PixIkY\njUaKi4vJyMgQ3TDBwcGi40U7VnsdiejoaIf0lSYBDjB//nwqKiocdDPggjZKTk6OqMfQohAZGRk8\n8sgjDhGGI0eOkJyczBtvvEFOTg5vvfUWAwcO5J///CfvvvuuQ5ShT58+IvpQVFTkVNa7f//+nDp1\nqlWDdTniWxJHrtY4Llu2jGeeeYampiZ5fbg8ZVrJteOGcTjsnI1+wO/aEt3QVCXt/3v99dc7fK0d\nhfbHERoa6vCk2VqY22KxkJeXxxNPPMGgQYOwWq307dvXYXx7Xl4eKSkpDB06lBdeeKHFQC7N8DY1\nNZGXl8edd95Jfn4+jY2NVFZWCu0HLU2iFYp2794db29vDAYDCxcuBBB1E9nZ2VgsFgcDq+Hv78/D\nDz/M0aNHRafHr371K1EkOWTIEHQ6HaNHj+bkyZPo9XpCQ0Opra0VmhPasLCJEydSVlbGpk2bRFpi\nwIABuLi48Mc//pHVq1czYcIEunTpQlBQkOjEcXd3Fw5Cjx49WL16NT169KB79+64urqyYcMGXFxc\nxKh6+0LMBQsWYDab8fLywmq1kpycDIC7uzuAw9wSb29v8V0aWsHpkiVLcHV1dYjEwE/aKAaDwcEI\naboamzdvJj8/3yFd1doTc2s3Y03W+80332TcuHFERUUxbtw43n//fR5//PHLGk4muTTtYRw1h6X5\nQDx7fk7XpzUxQ42fk/N1KV5//fUWdjIpKalDvqtTtMVeCjtn45fAb1VVrWzLdmlpaQQFBXXo2i6F\nvZrnldCaUFd5ebnYt7NhZ1ohqFbYqY1mVxSF2NhY8RltPklWVhYnT57kjjvuaLHW4cOHU1hYSGRk\nJPv372fDhg1069aNc+fO8dFHH/H1118DFwoO/f39hUOj6Xho3RcGgwFvb2+WLFkiVEXtJaYtFgub\nNm3i4MGD7Ny5E0VR8Pf3p6CgAE9PT4YPH84dd9zBjh07ePHFF/Hw8BAh5MDAQKE5YW+ktdSNNjZ9\n7969Ylx9t27dCAoKIi0tjaVLl/Lee++JiIq2ruHDh3Pbbbfx17/+lX79+mG1Wlm9ejWTJ08WdRta\nu6emW/H73/9etARHRUXx+eef8+mnn+Lj40N4eDhffPGFENSqrKykoKBAdK7k5OTwwQcfEBUVxd/+\n9jfOnDnTop1Um8L67LPPoqoqI0aMEI5PeHg4L7/8Mg0NDeKYm9MWgbjWZL21WgNtP1cqviX5CXvj\neCU6JfYOiyZ211wcLT8/n23btv2srk9bJex/7owfP57x48c7vFZcXMx9993X7t/VKRwORVEMwK/4\nqUPll4qiDAEqgNPAG1xojf3/ADdFUXr9+LkKVVUbrvV6L4XJZOKFF17gnXfewWazYTAYaGxsZNSo\nUSxcuPCiRXL2N52LzU1xcXERxvH777/HbDaTnZ3toI2gaUJoKpJaq+YPP/xAfn4+YWFhYgprTEwM\nK1asECFZ+5ub9nQeEhJCVlYWmZmZREdH4+PjQ1paGvPmzWP37t2YzWZMJpMoav3oo48wm83Exsai\n1+uFUNe8efPw9PTkueeeIzk5mZqaGr744gs+/vhjUlJShDppdHQ0MTExhISEEBUVxcSJE4mMjGTQ\noEF89dVX+Pn5tVAV7datG99//z2FhYUcOnSIadOmkZ2dLc4dwLFjx4iMjCQ3N5fs7GwGDRpEaWkp\n/v7+5OTkEB4ejtFoRFVVoqOjSUhIEPLkmtMUFhbmMEtFOz9aFOGzzz5j7969TJ8+nf379zNjxgxe\ne+010tLSmDt3LnFxccAFJ0tTcm1oaGDVqlVMnjyZkJAQDh06xDfffMP69esd9q85ck1NTWzbto28\nvDwHEay9e/fy1FNPXbWyp4a9rLdU6ewYrsY42jsszRVwtYeUyspKPv/880ten5tJq6K9lGkl7Uen\ncDiAocCnXKjNUIGVP76ezQX9jdE/vl764+vKj//+LdCpKn9MJhOPP/44VVVVJCYmtnjKePzxx3n/\n/fcd/vBbE+qpr69vIdSlGbSamhpefvll7rzzTu666y6mTZvGtGnTHNQh4+LiKCkpYfr06aIzJSIi\nguLiYiEcpdVEaBNKmw/kUlWV0tJSfHx8sFgs1NfX4+3tjaqq3HLLLcTGxhIWFsby5cvR6XQ0NDTQ\n2NhI7969WbFiBXBB+GnTpk1UVVXxwgsvEBERQXZ2Nt7e3ixevJj4+Hj69+/P3LlzxWj7+fPni44Y\nRVEwmUzo9Xp8fX0pLy+nS5cuVFdXO4hUpaWlMXPmTDEnBSA+Pp6MjAzhbGgj3adPny4ctFWrVpGU\nlIS7u7u4WTc2NrJ27VoxQM3HxwdXV1eRRgoPD2fSpEnMmTOH1NRUjEYjRqMRnU7H999/j4uLi4j0\nfPnllyQmJhIcHEx6ejpLly5l5cqV+Pj4YDKZqKur4//+7/+oqqriwIEDQogrJiaGhIQEmpqa2L59\nu4PMuDZ23s3Njbq6Ou6//37mzp0rflftNejMGT8Xlc5rydUaR3uHRWt7BsQ+Tp061aqzcbMKhUnn\nuPPRKRwOVVV3cfF6khum1mTZsmX4+voyfvz4FrUQI0aMQFVVFi9eLPQKLhbFWLlyJW+++abT7xk5\nciS5ubn8+9//ZtiwYYwcOZKDBw+SlZUlIhzV1dVikJlWWLp//35iYmIYMGAACxcu5OTJk9x+++1Y\nrVYsFosYG//+++9TXl6Op6cnFRUVYh9w4SZms9n49ttvxTE2Njbi4uKCm5sbFRUVbNiwQRSGalNK\n3dzcOHr0KL179xbRF029Upv4arFYSEhI4OzZs2LU/aZNm4RIlNVqJSEhgRUrVqDT6fD09BSj4TVn\n5eGHH2bfvn2iZdXd3V3cjOvq6sQsF20CrZbm0SIxzSW9Y2NjRadKbW2tiJ7MmjWLL7/8kpycHNHC\nO3jwYJ566in+85//iAiXVlxrMBiYM2cOc+bMEbUvOp2O5ORkUlNTeeGFFxgzZoxwagwGA2vWrGHj\nxo2iXsPDw4OKigoWLFjgYJiaTwu+VuFk6Wy0D1drHK/UYemI6dOdCekcdy4u2+FQFOVu4BkgFLid\nC0qgZ4ES4EPgDVVV69pzkTcS+fn5nDt3zqmEM1yYjPnHP/5ROBzO5MYVRSE4ONhBvro5iqKI4V4H\nDx7kq6++EgO9tJvGggULhAy3VquxcuVKYmNjSU5OJioqioCAACIjI8nMzKSuro49e/agKAqjRo0S\nLbfPPPMMiqKwb98+Bg0axPbt2/H29hbraGxspEuXLuh0OjFobOjQoZw9e5ba2loAXF1d8fHxQafT\nUVhYKFovtejK1q1bhVOjyYjX1dWRlJREVFQUBw4cYPPmzdTV1REcHExqaiqenp7odDpSU1OFJLte\nr2fChAns3LkTV9cLP2+DwSBSJA8++CD79+8XEY8zZ84Ix+fee+91MNLaedS6V/bt2ydmpHh6ehIf\nH8/IkSMBx5uZqqpERETw61//2mGWif211DpT7KMNmtF58sknxSA9Tbxr1qxZqKrK/PnziY+Pb+HM\naoPXli9fzqJFi2Q4+Qbkasfat8Vhab7f1u4/zX9PNwPS2bj+tDlyoChKkKIoO7ngWIQA+4BVwEJg\nMxfSHEuAU4qipPyol/GzQlVVPDw8cHd3v6ijoIXbofV2OEVRWug2NP+uiooKampqsFgsLToSAObN\nm0ddXZ2Yo5GVlUXPnj0dNDy8vb0ZMWIEn376Ka6urqxdu5bo6GgxGOxvf/ubuFnV19ezc+dO1q5d\nS3V1tYhSuLi4iJqRrl274uLiwtmzZwHEMVgsFlHjYbPZ6NatG0ajUXR72A8YKysro6mpCXd3d1F/\nMnToUMLDw0WRqI+PDy4uLlgsFnr27MmGDRv4+9//Tm1tLbm5uSQlJeHi4kJRURFDhw4V6qGHDh3i\n7NmzFBYWcvjwYX77299SUFBASUkJ8+bNc+gi0bDvXunZsydZWVktrnHz/29qahL78/f3b3Nnh4+P\nD//4xz/Iy8trIS1eWFjI0aNHWx3zbt8+qRkgTVtDKnveWFyJcWxNWA1oVcFUalVIriWXE+F4A3gJ\neEpV1VYVPhVFeQBIBP4HePHqlndjoRVvae2e9k+8ms6CVsvwX//1X0KOurU8u5ubW4uwuLavwsJC\nPDw8CAsLY8uWLULcyn6gm9lsxtXVlc2bN2O1Wjlw4ADnz58X0Y709HRKSkpwdXVFp9PR1NSETqdz\n6BrJz8+noaEBFxcXqqqqMBgMzJ49m7S0NKxWq5jKarFYcHNzo7GxEV9fX7y8vBgwYADvvvsuO3bs\nwGaziYLUHj16YDKZyMzMFN0emqCVp6cnVquVoKAgdu/eLdaiFWfabDZsNhu+vr6YzRc6o7UaDu08\namuEb98AACAASURBVMWar732GkajkfDwcDEgLS4uTkw97dGjB1OmTGHWrFm4uLgIMa3mBXcGg4GC\nggKH7hWdTtfqU6hWKKztT1OCtdlsQt/kYtGG1p5WQ0NDL2vMuwwn/3xpS+H56NGjW+i8NN/H5RQX\nSySX4nIcjv5t6QhRVXUPsEdRFLcrX9aNy4gRI3j99dfZuXMnx48fdzD+1dXVzJo1i5iYGFGweO7c\nOad/0FrO32g0UlNTw7FjxygtLcXLy0tENvz8/EhJSeHdd98V4lb2aZW1a9eyf/9+Fi9ezLRp01AU\nhbvuuouKigqSk5OJiIgQERAXFxeampro2bOncI5mzZqFh4cHfn5+dO3alSNHjuDq6kpISAiZmZnU\n1NSI1JC3t7cw0NrclPDwcN566y3WrFkDgIuLC/X19VRXV9PY2EhJSYmoNdAcCq2WZNSoURQWForz\nolXfJycnU1BQQE1NDa6urnTr1o2cnBzgwhNZSEgIxcXFKIrC0KFDGTBgAMePHxdFoKmpqfj5+eHh\n4UFZWRl6vZ5Vq1YxadIkUTfRvIbDbDbzzDPPkJiYKFIzAQEBrdZIFBUV0djYKPY3a9YspkyZQlZW\nFps3b8bT05Pvv/+ep59+utVoQ2vOQlhY2BUVg0qD8fPkUikTraC6I4qLJZLmtDmlYu9sKIoS5Sxl\noiiKu6IoUc0/fzPTPOWRkpKCTqcjLS2NwYMHi6dbNzc3EhMTCQoKIjk5WcxAsR+c1ZxbbrmF3/3u\nd6xevZr+/fsTEBBATU0N3bp1Q6/XU1ZWhtlsprGxUWg+2A90+/TTT1EUhXnz5nHXXXdRV1fHuXPn\nOHnyJOHh4bz++usUFxeTnJwsJq1qNQ1ZWVlER0dTXV3NokWLOHToEL6+vhgMBgC6du0KXBBX02aR\nWCwWHnjgAerq6vD392fNmjX4+vqKc+Tr68vdd99NQ0MDvXr1YtmyZdx1111CpVOrwdDpdDz//PO4\nuLi0EL1KTU3l1Vdfxd/fn6qqKsrLy0lNTRUS319//TVVVVWYzWbq6+tJS0vjnnvu4a9//Stbt27l\nzTffJCoqih49ejBu3DiKioowGAzC8bFHu9GWlJQQEREhimfT09PZsWMHixcvdphXohW25ubmMmrU\nKIf9GQwGpk+fzsaNGwkPD+fpp59u8xwR+xu+s3VqSG0BSXMulTJpbGyUvyfJNeNKu1Q2AduB8mav\n+/z4nvFqFtXZuVQb2RNPPEH//v1F10RSUhI1NTWEhoaSkZEh6hIApzoOWrj9zJkzZGZmMnv2bPLy\n8hzEu7TPPPzww5hMJvbu3Sv2FRUVRVxcHImJiUKOe+TIkRw5coSJEyeyZs0ajh07Ru/evRk1ahSB\ngYG4u7tTW1tLQECAKOacNm0aqqry9ddfs379ehISEkQ3htVqxcPDg8GDB5OXl4fFYsHT05NDhw6x\nePFi5s6di16vp1+/fpw4cUK01WodGxUVFfz1r3/l+eefp6ysTLTQGgwGamtraWho4He/+12LKIIW\n6fjzn/9MTU0N9957L6WlpSIqYbPZWLFiBVOnTiUuLo4pU6ZgNBrZvHkzOp2OsrIy+vXrJ9IYWmFl\ndHQ0ycnJQmnVWdpDizpUV1czduxYxo4dy+HDh3n11Vfx9PTk/Pnz1NXVsXPnTnx8fFot2szLy7vi\nok1ZDCppK/aCYM5QFIVbbrmFrVu3yt+T5JpwpQ6HpoPRnL5A1ZUvp/PTljay4uJiJk+eDFyYc6KJ\nTCmKQnFxsTCO8NNTu6bjUFtbi6+vL8OGDcNkMuHv78+xY8dEkaeG8qO6ptaKqiiKQzEoQE1NjUif\nHDhwAEVRePDBB9myZQulpRckTQICAkhMTKRr166cP3+exMREJk2aRN++fUWdwqZNm6iurqampgZP\nT0/y8/MJDAwkPz+fyZMnM2fOHP73f/+Xbt260dDQwJ///GcSEhLIy8ujpqYGX19frFYr/fr1Y9my\nZURFRWGz2Th27BgbNmwAflKzVFWV2bNnU1ZWxsSJE52qJhYXF3P48GEhlW7fxuvl5cV3331HcnKy\nOA/2KZL8/HzhAAGiVmLLli14enqydu1a1q9fT69evaivr3falrh8+XIRpm7epVJQUMC6detYtGhR\nh2gASG0BSVuxFwRrLWXS2NjIe++9J39PkmvCZTkciqKU8JM418eKojTave0C/IILkY+bFmc5UUDk\nRLUR7vbh+Pj4eLKzs7HZbA4FpPYFnjU1NQQGBvLPf/6Tzz77jIULF4r6CU2oChDb7d+/n/LycgYP\nHsx3332Hu7u7+C6Ne+65RzgHK1euxNfXV3SEaJEGTWV0+fLl+Pj4sG3bNpKSkti4cSNwQV+j6/9r\n797Do6quxo9/dy7kNkmAQKAI6q9FoOAlAa1oLniBWnwr2goqQmKwXBJAIKCAENu3FUGwAoIBJb6S\nBJUqtlW0WjFSSAKIBQIGBG+tWoQEJCEkM7mR7N8fM3M6kwskwwyZkPV5nnkkM2cme+cgZ2Wftdfq\n3JmTJ08yY8YMVq9ezbp160hKSuLtt9/mt7/9rVFsyGw2U1tby4IFCxg8eDCvvvoqN954I1u2bMHP\nz4/Tp08b7elTUlJ45ZVXjPvJ9mAjLy+PwsJCAgICjB4lDZM4o6Ki8PPzIyIiwtheat/Ga6+b0dS2\nZKUU8fHxTmW9m8uVOFeiXG5uLunp6Y0+2/73wP75nkralGRQ0VItqccif5/ExdLaFY63bP+Nwlpz\nw7GBWg3wDdbdLJcs+8WmqYAhKiqKwsJCp+2s9gu7vddHSUkJFRUVRh2MqVOnGsWtdu3aZSzpnz59\nmu7du2OxWIy25Y7VQg8cOEDXrl05efIkNTU1DBkyhCNHjhj/WJjNZgoLC43tsD169DDyM6655hr2\n7NlDYGCgsWOlurraaQXm888/Jz8/n8jISD777DMiIiK44YYbCAoK4sUXXyQ7O5ugoCCj/XpYWBil\npaX4+/sTHR1Namoqffv2pX///vztb39jwIABHDlyhB07dlBbW8vtt9/OTTfd1GQwERQURO/evRv1\nKLH/Y5ibm8uXX35JVVUV69evN8qf24+x/8ybcq7M++a2uTpqyTJ1U5/vqX/E5eIgzqW1t+Dk75Pw\npFYFHFrr3wMopb4B/tTRCnzZLzZN7Qix31b54IMP6NSpk3GxtNeXSEpK4pFHHqG+vp4lS5YYtz7s\nQYRjfkZ5eTnTp083Vj12795tJHImJiZy4MABEhISjGJZAF999ZXROtw+PnvL+f3796O1Nupo7N+/\nnxMnTjBkyBBKSkrIysoiNDSUsrIyI/Cw54OcPXuWwMBAQkNDmTx5MiaTCZPJRHJyMrt27cJisZCZ\nmUlZWRn+/v6YTCbj1o498Hj44YfJyMggPDycZ555hi5duhi7cBoGE2BdFXr11VeNVSPHLa+5ubk8\n88wz7NixgzVr1vC3v/3NqUmZUqpRoa2Gf76QzPuWLFNLZr/wFnILTngTV3M4tgLdgaMASqmfAQ8C\nn2mt17lpbF7HfrFxbP3t+Jo96zsrK8vYqum4ffKqq66isrKSQ4cOsWjRIgAjiHCsfTFnzhzq6+uJ\nioqif//+bN261UjknDp1KpmZmcZtGoC6ujq+/vprrrvuOj788EPefPNNxo0bx6ZNm7BYLPj6+nLt\ntddSXFzM2rVrGTBgAKNHj+all14y6mPU1NQYTbrs2zlXrFhBamoqPj4+HD9+HMDoxOrj48OZM2eY\nOXMmDz30EG+99RbBwcFUVFQ4daCtra01movZV35KSkqaXQHQWuPn52e0SE9MTGTlypWYTCYqKiq4\n/PLL2bFjB7169WLu3Lm89957jS7u0dHRfPTRR3z++eeNbln169fvgjPvpQulaE/klonwFq72KHkN\na+M0lFI9gRzgZ8BTSqnfumlsXik+Pp7du3c3u9Vs2LBhnD592tiquW/fPpYuXcpbb73Fzp07uf76\n643+JmD9bd7xs+xJpkOHDuWKK67gueeeY+zYsSxatAhfX1/A+TZNZGQkfn5+BAQEkJyczPLly7FY\nLMTHx2M2m6mrq+PEiRMkJCQQFhZGeHg4J06c4JZbbiEsLMxY0QgNDSUgIIChQ4ca2+TsCa1nzpwB\nrOXJu3fvzpYtW0hPT8disRjBUlhYGMHBwURERAAYW39ffvllY+k2LS2NK6+8ksDAwHNuxbv11luB\n/7ZI/+KLL9izZw9ffPEFOTk59OrVC8D4ng23Jo8ZM4aVK1ca25JXr15NRkYG1157LatWrTI6tbpq\n3rx5vP76640qgdq3xM6dO/eCPl8IT5FgQ7QlV1c4rgY+sf35PqBQax2jlPo58ALwB3cMzhs191u1\nnf0evuNWzaKiIiZMmMDll19uBA0NczxOnDhBWloaRUVFTJ06lf79+5OQkMD06dPJzMxkzpw5vPTS\nS4B194m9zsQ///lP/P39CQ0NZc6cOSxYsIBNmzahlMLf359BgwZRV1fH/v37KS8vp1OnTgQFBbFm\nzRpOnz7No48+Snp6OvX19ZhMJiZMmMCMGTOcdn3YVzzA2vl1ypQppKWlsW3bNiM5017ivK6ujqKi\nIhYuXNhoBSguLg6tNStXrmz1VjzHFumObrnllkarDZs2bWLevHmN+o3Yv7bvInGVLFMLIUTrubrC\n4Q/Y8zeGA/YrxBHgRxc6KG9mL9t9rh4nYWFhvPrqq8ydO5d77rmHpKQkOnXqRF1dHQcPHjRWEez5\nBocOHSIhIYHRo0cTHh6OUopNmzbRtWtX3nnnHYKDgxkxYgRhYWHk5+czaNAgkpOTueaaawgJCSEq\nKoqysjKCg4OJjY3lu88/R2tNXV0dCxYs4IcffuDFF1+krq7OSFr9xz/+QVhYGMOHD+eWW26hpqbG\nqST7yJEjjaJl3bt3N/qgvPvuu0anUnvypOPtkN/85jeEhoY22+8jLi6OwMBAt/X5aGq1oaCgoEX9\nRi5Ec30rJNgQQoimuRpwHAKSlVJxwAj+uxW2F3DKHQPzRuXl5Tz22GN8880352zGZd+58f333zNw\n4EAef/xxwsPDiYqKwtfXlwkTJhhNwq666ipmzZpFWloaX375JYBRa6Kuro6EhAQ6d+6MxWLh5MmT\nbNiwgaKiIiZPnsznn3+Or68vCxYswM/Pjy5duvDdd9/xzfHj/OUvfyE4OBiTycSqVauMWzk1NTVU\nV1cbW26VUkyaNAl/f3+qq6tZvHgxSUlJRqJmZmYmDz/8MGC9pbJr1y6nfBP7RT4uLo6KigpiYmLo\n0aPHOVeAevTogclkcssFu2GTstTUVOM2UXPf376LxF1kmVoIIc7P1YBjHjAF2AZs1FofsD0/iv/e\narmk2At+ffHFFzz66KNs2LCh0T383Nxcnn/+eQC6detmNAqLj4+nvLycpKQko3/HokWLeOWVV8jJ\nyTFWJgoKCrjxxhvJz88nODiY2tpaYmNjqays5OWXX6Znz56sWLGCf//738TFxbFv3z4CAwMJCQmh\nT58+VFZWsmPLFpKVYmNGhrFrJSQkhMmTJ1NTU0PXrl0xm82YTCbj1kxmZiZhYWHU1tZy6NAhp5yS\ngoICoqKiUEpRU1MD4LSqYQ+8Jk2aZNT5sO/iaIrWulFAcKEXbMfVhi1bthAaGnrO7y+7SIQQ4uJz\nKeDQWm8DugHdtNYPO7y0Dkh2w7i8jr3gV3FxMcOHD2fFihVG/45HHnmEyZMnU1hYSOfOndmxYwfF\nxcXcfPPNRo5G9+7dKSgooFu3buTk5LBgwQLGjx9PcHCw8Vt9UFAQEyZMYMOGDZSUlNC5c2cjOfST\nTz6hrq6OoKAgTCaTcXx5eTkAtbW1REVFkfv22/xeazh9mv79+5Ofn29svR04cCBVVVX07t0bs9nM\nwIEDSU5Opn///oSEhNC5c2dCQkKcbpEEBQWRlZXF9OnT8fPzM3apgHVV48UXXyQvL89o327v/NpW\n/Rnsxb2kP4QQQngXV1c40FrXaa1LGzz3jda6YX+VS8K2bducAgh7DYmMjAxWrVpFRkYG06ZNIzg4\nGIvFQlBQkFHVU2vNggULWLRoEWazmfT0dBITE4mJiSEsLIyyMms1+MrKSqO6pr0rrNaa0aNHU19f\nbxQPKy0tNY5XSrFjxw6io6Pp1asXdceO0Q3o7e/PnDlzyMzMZNKkSVgsFhYsWEBdXR1Hjx5Fa01x\ncbFxayYxMZG1a9dSXl5uBBT2HJOCggKGDh1KeHg49fX1xsV88uTJBAQE8Pe//53JkydTXl5Obm4u\nSUlJxi2jhitAF2MXh+wiEUII7+NSwKGU+rdS6l/NPdw9yLZm7zngGEA4alhUqqysDIvF4vTb/htv\nvEHnzp3x9fU1qon6+Phw+vRpamtrycvLa7QyMGDAAD788EOeeOIJlFKMHj2a5cuXG0HG1VdfTV1d\nHevXr+frr79m1cqVjLHt5rizuppDBw8yYMAApkyZYuRrREREMHDgQEwmE1988QVxcXHG1tzIyEi6\nd+/ulJ9izzvJyspi0qRJREREGMFEcHAwq1atolevXlRVVeHr68uSJUvYu3evUwfXKVOmcO+99/Lt\nt99elF0cDfM6LiQpVQghhHu4ui12ZYOv/YFo4BfAMxc0Ii+klOLUqVNOAYTjLgh7mfNdu3YZtxUq\nKyvJz883KnYePXqUxx9/nOXLlxMWFmYEKfX19fj5+bFu3Truv/9+nn32WYKDg42CXM8//zyPPfYY\ne/bsYc6cOUbVzuzsbLp06UL//v05fvw43bp144Yrr2RUQQEAv6ysZNHmzew9epRHH32UzMxMUlNT\nqa2tZeHChYwdO5YrrrgCwKkUuNbaKFoWGxvLhAkTGD9+vFF07MCBA/Tv35/CwkKnkuQ33XQTffv2\npaioiOPHjzNv3jwCAgLo1KkTcXFxRifdi0WKHQkhhHdxKeDQWj/X1PNKqWnA9Rc0Ii+ktaa2ttYp\ngLDXkDh58qTRCt5e5vyOO+7gzJkzxoX7D3/4A1OmTCE2NpZVq1YZqx8Affr04dixYzz77LNMmzaN\nfv368T//8z9GgaqsrCxiY2PZu3cvfbp25fnf/pauSuFz5gzfnTlDYEAA4YGBfHfkCD8OC+Mq25iv\nAsr27sW3vJxH77qL2uJigsLCoLyc3z3wADVHj/KtxQLgtGpjMpl4+umnnXqc2GtsOJY8T0hIcCqg\nlZuby5tvvum0guAtF3pvGIMQQnR0rq5wNOd9YAkwwc2f61FNXRjtz9n/6+vrawQQ9nby69ev5/vv\nvyctLc2pyFSnTp3o3LkzK1asICMjg8WLF9OlSxfMZjOBgYGYzWaj10ptbS0RERG8+eabzJo1i8zM\nTOLi4vjjH/9IbGysUcTr4MGDXHXVVQQFB3N9bS2rfvgBE0BNDdgSRzn13x3JCnjb/vW331r/W1VF\nOTCnrIx/h4VRHxpKfn6+06qNPY/EsceJxWJh/PjxTiXPGzZdKy0t5Z///KfTKoZc6IUQQti5O+AY\nDZS4+TM9ory8nKVLl5Kbm2tcNG+88UaUUuTn53PmzBmqq6uJiIgwLrSLFi1iwYIFLF68GD8/P2pr\na+nevbvT7RV74S+z2UxwcDD+tuTNlStXMmvWLM6cOcOwYcN48cUXAWueRkFBAQUFBaSkpPD6668D\n1lsC9pyR+vp6goKC2L17N7OXLKGTjw93/P73/Pb4ce5oxZxzfHyYExLC7QkJ3F5ba5ROnzhxItnZ\n2WitnXq/AEaC7LBhw8jLyyM+Pr5R07X8/HyOHTsmuRFCCCGa5WrSaIFSap/Do0ApdRxYbHt4NXtN\njd69e5Oens7y5ctZtmwZH374IT179gRg+vTpbNiwgUGDBnH8+HHq6+t5/PHHqaqqYvbs2fTo0YOI\niAgjGdPObDZTUVEBYDRcO3z4MLW1tYwZMwaAa6+9loCAAN59910++OADTp06ha+vr1NSqn37qX1n\nitlsBqx5FTfGxLDirbdINpkY6+NDxfnmCzzo60vmiBGsfPttPt6zh379+rF582amTJnC119/zdmz\nZ1m9ejVbtmxh8eLFbN++3WmHx6BBg3jmmWca7fywlyOXnR9CCCHOxdUVjrcafF0PnAS2aa2PXNiQ\nPM9eU8NxZSIrK4vk5GQOHDhgtFafMWMG1dXVdOnShZCQELp168add97Jnj17SEhI4M0332zUCj0r\nKwutNX379uWFF14gJCSEgoICOnXqxJdffklISAhvvPEGDzzwAJs2bSI8PJzQ0FBOnDhhBBj5+flO\nOSMzZsygqKiIrl27Gt8nKCiI3lFR/OPIEX5eWsrOurpm5zvCx4eSyy9n5l130b17d+OWyNmzZ8nI\nyKCmpoawsDC6du3KrbfeSnJyMi+88EKjPiE7duxg7dq10j9ECCFEqyl3lnh2eRDWEumPAUOw9mK5\nR2u92eH1X2EtKDYE6ApEaa0/PcfnDQb27t27l8GDBzd6PT4+nvT0dKeViYkTJ5KRkcGkSZPIyMhg\nzZo1HDt2jF/84hesX7/eqK6ZkZHBAw88wJ/+9CcmTZpEVFQUUVFRRvAyceJEzp49S1FREaGhoVRV\nVXHFFVdQUlJCcHAwUVFRDBgwgIMHD/LRRx8RHh5O586d6du3L4MHD2bAgAFMmDABpRTh4eEkJyez\ndetWdu3ahb+/P5s3bzbGPXHiRHr27EngO+/wp/r6Zn++kzt35t2gIDp16sRjjz1GfHy8kZ+Sl5fH\npk2bePvttwkLC2v03uYSP70lIVQIIYR77du3jyFDhgAM0Vrvc9fntviWilIqrKUPF8YRAuwHpgJN\nRUAhQB4wt5nXW0xrTUBAgNPFUmtNYGAg8N8togUFBRQXFxMbG0tJSQlBQUEEBQUB1qRQewXQAQMG\nGHUp6uvrCQwM5PTp08yePZvg4GDCwsIoLS2loqKCoKAg7rvvPtLT0/nkk0/40Y9+ZPRImThxIllZ\nWcycOZOZM2fSs2dP6urqePfdd8nPz2fhwoWNamRcffXV+FdXM+4cwQbAXadPc13fvhQWFnL8+HGn\n2hTHjx9n8+bNTQYb0HzipwQbQgghWqM1t1RO0/KLvW9rBqG1/ju2BnCqiSuZ1voV22tXYN2A4bKK\nigq+/fZbp9/QT548yXfffQdgJGnaO6GCNcAoKyszmn7Zm5aNGTOGlJQUJk2axKeffkp2djbFxcX4\n+vpy3XXXsXr1arp160ZZWRlaa3744QfS0tLo168fv/zlL8nKyqKmpoba2lp27txp9CsZMWIEMTEx\nzJgxg6NHjxIUFERsbCwvv/yysVMmOjqawsJCSgsLud1hfh/6+LC0Sxfml5Yy3BaI3A5klJcTGhrK\nokWL7D/TcwYNsoIhhBDCnVqTNHorcJvt8TBwAlgG/Mr2WAYU217zWkuXLuWnP/2pUdHzxIkTRjdU\n+xbRnTt3UlVVRWVlJWazmfr6esxmM5GRkezcuROAnJwc0tLSSElJ4euvv2b//v0EBgZSXV1NUFAQ\nc+fOxWQyYTKZWL58OWazmdLSUhISEjh16hSxsbFER0cD1ov7888/T2JiolPp9FWrVhn5FWCtkWHv\n4ZKYmMjYsWPpazIRDFQA4/z8mBwczDedOzM1PJxxfn5UAMGAzw8/YLHV3YCmVyjKy8tJS0sjPj6e\nO+64g/j4eNLS0ox+LUIIIYSrWhxwaK232x9AIjBba/241nqz7fE48CheXoMjNzeXxx9/3LgNkpaW\nxty5c7nsssvYsGED/fr1IzMzk8jISLp27Wo0N5swYQJHjhxh7dq19O3bl9WrV5OQkMDw4cOZNm0a\nGRkZPPfcc5hMJioqKjh+/Di+vr5YLBbeeustIiMjCQwMJCoqivr6eiwWC9XV1YSEhODj42Nsry0v\nL6eiooL09HRmzJhBYGAgZ86cAXCqkdG1a1f8fX0ZXlFBjo8Pv7jsMm5dvZp3du3ir3/9Kz2vvprf\n/O1vjLrySrb6+nJLaSnbtm5t9ufS1M6d9PR0evfuzahRoyToEEIIcUFc3aVyE013hd0DvOT6cNwr\nNTWV8PBwp+dKS0uNlYKsrCyKioqIi4sjOzublStX8tJLL/H9998TERHB/v37SUtLY8iQIaSmppKS\nksLBgwfZvn079fX1TZY3r6mpoVOnTgAMHjyYrVu3cvLkSS6//HJqa2uZM2cOVVVVpKamkpiYyIED\nB/D19SU4ONho7T5lyhRSUlKYOnUqkyZNMnas2At0xcTEEBQUxMfvvEOxjw8FI0aw/A9/IDg4GLCu\nXgQGBnLriBHc8OmnzJ84kX+9/z5fZ2dz5y9/2eTPqqmdO0opYmNj0VqzbNkyo1S4EEKIS8PGjRvZ\nuHGj03P2hqLu5mrA8R9gEtYkTkcTba95hRUrVjTapRIfH28U8kpOTubjjz82EkD379+Pv78/Cxcu\nJDY2lt/85jfExcWhlDIClM8++4wePXpQXl5u3Jawt38fP348e/fupa6uzngMHDiQsrIyzGYzRUVF\nzJ49m7Vr15KSkkJsbCzZ2dmcPXvWKXfEXgYdrLka4eHhLF68mNTUVKNAV2VlJWG9enHLs89yY0yM\n0xztTeSUUoSGhpL++uts3bKF7e++2+zPKjc3l/T09CZfi42NZfr06RdyKoQQQnihsWPHMnbsWKfn\nHHapuJWr7elTgUeUUoVKqZdsj0+BR2yvedIF7VKx15MA8PHxMdqx21uq79q1i5iYGLTWBAcHN9rN\norWmtLSU6upqI4HUHmzYt5vecMMNnDlzhj179nDq1Cnq6urw9/cnMDCQTZs2ERwcbAQUtbW13HTT\nTUZ+iFLKqUx6UlISp0+fxmQyGUmpf/zjHzl69CgDb765UbAB1lyUYcOGOT13289/zu9XrWr6B2rb\npXOuHSn2hFkhhBDCFS4FHFrr97D2B9uMtS5GV+AdoJ/ttVZRSoUopa5TSkXZnvqx7es+tte7KKWu\nAwZh3aUywPZ6j9Z+r3nz5vH6668bFTPtW01DQkJYvny5seVVKWUU9TKbzcycOZNrr72WjIwMDhjK\n6AAAIABJREFUwsLC0FqTk5NDamoqlZWVRpAwePBg+vfvT2VlJX5+ftTX1xMdHY3ZbMbPz4+EhASj\nOql9J8iECRMoLi5mzZo1hIeHO1347cmjMTExWCwWlFKYTCbCw8NJT09vVPkzLy+v1ZU/lVJUVVU1\nG1A4rpgIIYQQrnB1hQOt9VGt9UKt9a9tj4VAuVLqQRc+7nqgANiLdQXjWWAf8Hvb66Nsr79je32j\n7fUprf1GoaGhbN68mWPHjjF9+nT8/PxYtGgRubm5hISEGIEAWOtc5OXlkZGRQWJiohFUBAQE0KNH\nD9auXcv48ePp3LkzSinMZjM1NTWsWLGCbt26cebMGU6dOkViYiI+Pj6cPXvWaJBmDzZKS0sJDg5m\n1apV/OxnP6O0tLTRhT8kJIRZs2bx5z//mR49erB//34OHTrE7t27jXnY62ocO3asUeXPlqxMOK78\nNNTUiokQQgjRGu5u3nYFsAF4rTVvsu18aTb40VpnAVkXNjSrhk3bKisrGT16NJs2bWL58uVYLBby\n8/MZPHgwhYWF7Nmzh8rKSmbOnAmAxWLh2LFjRh8Ve8JpRUUFs2fP5r777kNrzfvvv4+Pjw8mk4kD\nBw7g7+9vrGw4Jn/6+/sbzdJmzZqFv7+/0Um2ofz8fG677TZjpSE0NNRI5GxYN6Op5nTx8fHMmzev\nyTLkU6dOZcSIEdTV1TlVIrX3Stm8eXOj9wghhBAt5e6Aw6vZt37ef//9RmlzrTU7duzg008/5de/\n/jW9evViw4YNvP/++yQlJREdHc2UKVOMi3lmZiYDBw5Ea82pU6eMAGLJkiXcd999vPHGGyQmJrJ9\n+3YCAgIICQlh/fr1VFdXAxj5IqmpqUbyqj0RNDY21uk1e8JqSy78DYON5uY5atSoRisg5eXljBs3\njkmTJnHw4EFeeeUVo2JqdXU1OTk50itFCCHEBXFrLxVbnsU+rXWrKo26W3O9VNLS0ujdu7fT1k+7\nvLw81qxZw2uvvcbJkyeZMmUKf/nLXwC49957+fOf/4xSiokTJ7Jy5UpmzpzJDz/8wFtvvYXFYmH8\n+PHcfvvtDBgwgMOHD/Pxxx/TpUsXfvKTn/DPf/6TCRMmsHbtWlJTU4mLi8NsNpOVlUVOTg7Jycl8\n9dVXFBQUEBgYiNlsxt/fH7PZTGBgIAEBAcTHxzN37twWXfjPN89jx445bXFt6nj7iklTxwshhLh0\ntXkvlUtBbm4uMU3s6gCIiYnBz88Pi8XCwoULiYyMRCmFxWKhpqaG/Px8tNYEBQVhMplYtWoV3bt3\nJzc3F601nTt3Zu/evbzxxhtER0djsViMRMvk5GRGjBjBCy+8wHPPPce2bduMAl7Z2dlkZWUxaNAg\n1q1bx6pVq/i///s/xo8fT5cuXdiyZQvbt2/nySefbPEqw7nmGRsbS25u7nmPt6+YNHW8EEII0Vqt\nuqWilJpxnkMuu4CxeNT5tn76+PhgNptZv349Dz30EJmZmUZexqBBg1i7di319fVGwmdISAjPPfcc\nM2bMYN26dQDU1NQwc+ZMo75Gt27d2Lt3r5H/ERkZSVZWFllZWbz66qsEBgby/fffc8899/Ddd9+5\npe17a7a42m+1tOZ4IYQQwhWtzeFoSY2N71wZiKc5bv1srt26j48Pu3fvZtq0aRw4cIAlS5aQmJhI\nv379SEpKYsuWLZSUlJCXl0d8fDwhISFcc801DBkyhE8//ZQPPvjAWClYsGABkyZNokePHo22uU6d\nOhWwNpKbOHEiH3/8MYGBgWitueGGG5g/f77LORMtmafjFtfWHi+EEEK4olW3VLTW/68lD08N9kKd\nb+vnXXfdZdTgSEpK4rPPPiMmJoZNmzbx+OOP89RTT/HCCy+wbNky41bKwYMHiY2N5aGHHsJkMhnb\nYxcvXszMmTONzrINmc1mZs+ezdSpU516l/Tp0+eCe5e0dourbIkVQgjhaR1ql8q8efMYNWqUsSPE\nfkvBXizrnXfeYdeuXUaV0V69eqGUoqCgwFiV2LRpE7NmzeLgwYNkZ2dTU1ODUorg4GAjuMjMzCQh\nIYG4uDi+/fZbY9urI8dj7NzVu6S5eTa306W1xwshhBCt1eKAQyn1gNb6Ty08tg9wuda66V+b24i9\n6NeyZctITk6mpKSEiooKAgMDMZlM3HzzzURERBgBwsmTJ6mvrzdaxgNG8DF8+HAAJk6caNyOqays\nJD8/n3379hkBiuM2V8eL+a5du4xjGrrQ3iWO82xJXkhrjxdCCCFaqzUrHClKqd8B64F3tNaHHV9U\nSoUDMcB4YATwG7eN0o1CQ0OZO3cu27ZtIyAggBkzZjgFAh9++CFPP/00M2fOpLy8nB07dhiJooBT\n8AEYRbxiY2MJCgoymrHZjwkJCTEav2VnZxMYGMh//vMfunXr5tFEzXMVBXPH8UIIIURrtDjg0FoP\nU0qNwtqgbYlSygwUA1VAF6An8AOQCVyttS52/3DdY+nSpXTt2pVx48Y53eqwWCx8+eWXhIaGsnz5\nci677DI2bNhAZGSkUf3TsSw5/HcFo76+nt69e7Ns2TIefPBBp2McE0Xr6+u599576dSp00VL1Gzt\n50iwIYQQwt1amzS6WWs9AugBJALPA68C/wvcCPTSWs/35mADrHUnioqKnGpP2Lu+Xnfddbz22mtc\ndpl1h+/y5cuJjIzk6aefZvv27URFRTklWAYHB7NixQoOHjzI0aNHCQoKIiAgoNkkzB07dhAQEEBc\nXJwkagohhOgwXEoa1Vr/ALzl5rF4XHl5OU8//TSlpaX4+fk5/SafmZlJYmKikbQZFBTEgAED2L9/\nP7NmzWLSpElkZmayb98+3n//fa699lpOnjxJUFAQlZWVREZG4u/vz9atW6mvr3cqV+6YhLlhwwbC\nwsKYP3++JGoKIYToMDrMLhXH/iLV1dX4+vo63dKwJ4OazWYyMzM5evQoS5YsYfbs2UZQMG3aNCoq\nKpg8eTIjR45s1Ovk+PHjPPvss0RHR3PrrbdSWFho5G1UVVURHR3NmDFjKCkpkURNIYQQHYpLAYdS\nqhRrm/iGNNacjq+ATK31+gsYm1stXbqU+++/n9jYWFavXs3QoUONZE/7iobFYiE1NZXExES01uzf\nv98p4dPPz49vv/2W+fPnEx8fb3y2xWJhz549fP/99zzxxBMMHjyY1NRUEhISSElJMY7Ly8tj06ZN\nxuqFJGoKIYToKFxd4fg9sBD4O/CJ7bmfAb8A0oH/B6xVSvlprTMueJRukJubS3p6OlprunfvzoQJ\nE5gxYwbvvfceJ06coKSkhPXr1xu3Vfr160dKSgqPPPIIKSkpWCwWZs2aRdeuXZ1qZ9hzP7p3705k\nZKRxe6ThzpSqqipOnz7NJ5980uTqhQQbQgghLmWuBhw3A09orV9wfFIpNQX4udb6XqXUp8AMoM0D\njob9QhxLeY8cOZLY2FjWrFnDzp07mTZtGmazmbS0NFJSUjh06BCvvvoqZWVlTJs2jTfffLNR7sd9\n993HunXrnMqYO+5MsX+v2bNnYzKZLv4PQAghhGhjrnaLvRPIaeL5j4A7bH9+D/ixi5/vVo79QsBa\nO2PJkiUkJSUZeRijR482AoOMjAwSEhIYPnw406ZNIyMjg7CwMIYMGcKJEyecSpXv2bOH119/nS5d\nujjV62j4/aUniRBCiI7M1YCjBLiriefvsr0GEAK43hDEzRz7hTj2SbF788038fHxoaKigu3btzvV\n59Ba4+/vz+zZs+nbty/5+fnG82azmYceeoi6urpGW2Yd5ebmylZXIYQQHZart1SexJqjcSv/zeG4\nAevKR7Lt6xHA9gsbnvs49guJiYnhsssuMxqtZWZmkpOTw7Bhw3jqqaeIjIx0WolQSlFcXExqaqqR\nEArWEuS1tbXExMRw4MAB+vfv3+R22Ly8PNasWcPHH3/cVtMXQggh2pSrdTgylFKfAdOBX9ue/hwY\nprXeaTvmWfcM0T0ct6GmpKRQVFRERUUFs2fPJiEhgSNHjqC15rPPPqN79+6Ndo34+/sbQcSiRYt4\n4oknePbZZwkODja6y6ampjJmzBg+/fRTI1n09OnTVFdXk5OTI1tdhRBCdFiu3lJBa71Daz1Waz3Y\n9hhrDza8lb2Pio+PD1prFi9eTGJiolGy/ODBg/Tp08foj2Jn39liXxFJS0sjISGBv/71rwQFBaG1\nNnqmfPnll+zfv5/AwEAqKyuxWCzs3r2bXr16teHMhRBCiLblcuEvpZQvcA/wU9tTh4DNWus6dwzM\nU+x9VO69917S09N56qmnAIiKiqKwsJCqqioeeughp4JfjkmnjhVJAQYPHmz0WWm4MyU/P59jx47J\nyoYQQogOz6UVDqVUX+AwkI31lsqvgVeAQ0qpn7hveO6Xm5tLcXExt912m5HHATBhwgROnDhBVFSU\nUfCrsLCQyZMn88gjj1BSUkJeXh4FBQVOyaZJSUls2LCBvLw8Y4eKY4nyuXPntsk8hRBCCG/i6grH\nKuBrYKjWugRAKRWBNehYBfyPe4bnXmfOnKG6uprg4GB8fHyc6nGEhIQwbNgw+vXrZyR+pqSkoJSi\nvr6enJwcFi9ezBVXXOGU29Gw/Xx1dTWhoaFSolwIIYRw4GrAMQyHYANAa31KKTUfaHpf6DkopeKA\nx4AhwI+Ae7TWmxsc8wdgItDZ9j1StNZftfR7lJeXc/fdd1NTU2PsHrHnathvj0yaNOmciZ9bt27l\n3nvvbZRQar+VorVm6tSpbN/uNZtzhBBCCK/gatJoNdDUr+4moMaFzwsB9gNTaaJHi1JqHtYdMZOx\nllA3Ax8opTq19BvYe6kMHTqUiIgI8vLySEpKIjs727gdEhISwvLly9m2bRsfffQRJpOJuro6fvnL\nX7J792769evH3Xfffc628rfcckvrZy+EEEJc4lxd4XgXWKeU+g3/rcNxI/AC0Oq+6lrrv2Pty4Jq\nuhTnTOBJrfW7tmMSgWKsSatvtOR72HupREdHM27cOI4ePUpycjLLly8nOzub7OxsfHx8KC4upk+f\nPuzduxeTydSoMqhjPQ9pKy+EEEK0jKsrHDOw5nDswtodtgrYibVL7Cz3DM1KKfX/gJ5Yy6YDoLU+\nA+wGbmrJZzj2UgkJCSEiIoIXX3yRwsJCUlNTOXz4MADXXnstr7zyCvX19YSGhjZZhtxez+PYsWNM\nnz6d2bNnM336dI4dOyY5G0IIIUQzXC38dRq427Zbxb4t9nBrcipaoSfW2yzFDZ4vtr12Xg17qQQH\nB2MymRo1V7MLCAg4Z7t4aSsvhBBCtE6LAw6l1PLzHHKr/cKrtZ59IYNyl9TUVMLDwwEoKipi3Lhx\njB8/3miyZh+vY8DQ2iZrEmwIIYRorzZu3MjGjRudnisrK/PI92rNCkd0C49r3C71whQBCuiB8ypH\nD6DgXG9csWIFgwcPBqy7VO68807y8/ONmhrx8fGN3pOfny9N1oQQQnQIY8eOZezYsU7P7du3jyFD\nhrj9e7U44NBa3+r2796y7/tvpVQRcDvwKYBSKgxrkmp6az7Lx8eHkSNHsmDBAmbPti7C2NvTS+Kn\nEEII4TkulzZ3J6VUCNAX60oGwI+VUtcBJVrr/wArgTSl1FfAN1i71R4F3m7p91i6dCljx441am7Y\ni3Vt2LABHx8fo06HJH4KIYQQ7ucVAQdwPfAPrLdjNGDvNJsFPKy1XqaUCgZexFr4Kw8YqbVucc0P\n+7ZYO8e+J/X19TzyyCNGIqgQQggh3MsrAg6t9XbOs0VXa/2/wP+6+PnGttimXvPx8TnvzhQhhBBC\nuM4rAg5Pc9wWa28xn5mZSUFBAUFBQVRWVnL69GkqKirkdooQQgjhAR0i4ACIj49nx44dREdHk5qa\nSmJiIlOnTnVKGB01apTkcAghhBAeoOzFsC4lSqnBwN69e/c6bYsdNWoUoaGhjBw5kri4uEbvy8vL\n49ixY5LLIYQQosNy2BY7RGu9z12f62pp83bHXpL8X//6l7FTxc4edMXGxrJt27Y2GJ0QQghxaesw\nt1QATCaT0ZCtqTyO6Ohop1wPIYQQQrhHhwo4lFKcOnWKiooKZs+e3WQexzvvvCPJo0IIIYSbdZhb\nKmC9ddKpUyeWLFlCQkKC0V4erMFIXFwc8+fPZ+nSpW08UiGEEOLS0qECDvtKxqFDhxrlcdgNGzaM\n7du3X+SRCSGEEJe2DhVwANTV1REeHt5sjoZSitraWi7F3TtCCCFEW+lQAYfWmssuu4zS0tJmAwqt\nNadOnZKkUSGEEMKNOlTAYV+9CAgIYMeOHU0ek5+fb5Q5F0IIIYR7dKiAA6w5Gv7+/mRnZ5OXl2cE\nFlpr8vLy2LBhA2FhYbLCIYQQQrhRh9oWCzBv3jz+8pe/MGbMGAoLC8nOziYwMJCqqiqio6MZM2YM\nJSUlbT1MIYQQ4pLS4QKO0NBQcnJyGDFiBFOnTiUlJcV4LT8/nzfeeIPNmze34QiFEEKIS0+HCzgA\nevXqxa5du3jmmWeYPn06AQEBVFdXEx8fL83bhBBCCA/oUAFHeXk5S5cuJTc317iNEh8fz9y5cwkL\nC2vr4QkhhBCXrA4TcNi7xd5///2kp6cbRcB27NjB3XffLSsbQgghhAd1mF0qS5cu5f77729Uzjw2\nNpb77ruPZcuWtfEIhRBCiEtXhwk4cnNziYmJafK12NhYcnNzL/KIhBBCiI6jQwQcWmsCAwPPWc5c\nin0JIYQQntMhAg6lFFVVVecsZ15VVSXFvoQQQggP6RABB0B8fPw5y5kPGzbsIo9ICCGE6Dg6zC6V\nefPmMWrUKLTWRuKo1lqKfQkhhBAXQYcJOEJDQ9m8eTPLli2TYl9CCCHERdZuAg6llAlYBNwDRAL7\ngFla6z0t/YzQ0FCefPJJAOrr6/Hx6TB3lIQQQog21W4CDuD/gIHAOOA4kADkKKV+qrU+3pIPaK7S\n6Lx582SFQwghhPCgdhFwKKUCgV8Dd2mt7Zmfv1dK3QWkAL8932ecq9LoqFGj5LaKEEII4UHt5Z6C\nH+ALVDd4vhKIbckHSKVRIYQQou20i4BDa10B7AKeUEr9SCnlo5QaD9wE/KglnyGVRoUQQoi20y5u\nqdiMB14GvgfOYk0afQ0Y0twbUlNTCQ8PB+Dw4cPMmDGDkSNHcueddzod51hpVIp/CSGE6Cg2btzI\nxo0bnZ4rKyvzyPdS7a2ct1IqCAjTWhcrpf4EhGit72pwzGBg7969exk8eDBgLfxlz91oSGvNtGnT\nZJVDCCFEh7dv3z6GDBkCMERrvc9dn9subqk40lpX2oKNLsAdwFsteZ9UGhVCCCHaTru5paKU+jmg\ngM+Bq4BlwGdAZkveL5VGhRBCiLbTbgIOIBxYAlwGlABvAmla67qWvFkqjQohhBBtp90EHFrrTcCm\nC/kMx0qjkiAqhBBCXDztLofDXSTYEEIIIS6eDhtwCCGEEOLikYBDCCGEEB4nAYcQQgghPE4CDiGE\nEEJ4nAQcQgghhPA4CTiEEEII4XEScAghhBDC4yTgEEIIIYTHScAhhBBCCI+TgEMIIYQQHicBhxBC\nCCE8TgIOIYQQQnicBBxCCCGE8DgJOIQQQgjhcRJwCCGEEMLjJOAQQgghhMdJwCGEEEIIj5OAQwgh\nhBAeJwGHEEIIITxOAg4hhBBCeJwEHEIIIYTwOAk4hBBCCOFxEnAIIYQQwuPaRcChlPJRSj2plPqX\nUsqilPpKKZXW1uO6mDZu3NjWQ3CrS2k+l9JcQObjzS6luYDMp6NpFwEHMB+YAkwFBgBzgblKqelt\nOqqL6FL7i3wpzedSmgvIfLzZpTQXkPl0NH5tPYAWugl4W2v9d9vX3ymlHgR+1oZjEkIIIUQLtZcV\njp3A7UqpqwCUUtcBMcB7bToqIYQQQrRIe1nheBoIA44opeqwBkoLtdZ/atthCSGEEKIl2kvAcT/w\nIPAA8BkQBTynlDqmtd7QxPGBAIcPH754I/SwsrIy9u3b19bDcJtLaT6X0lxA5uPNLqW5gMzHWzlc\nOwPd+blKa+3Oz/MIpdR3wBKt9VqH5xYC47TWA5s4/kHg1Ys4RCGEEOJSM05r/Zq7Pqy9rHAEA3UN\nnqun+RyUD4BxwDdAleeGJYQQQlxyAoErsV5L3aa9rHCsB24HkoFDwGDgReAlrfWCthybEEIIIc6v\nvQQcIcCTwK+ASOAY8BrwpNb6bFuOTQghhBDn1y4CDiGEEEK0b+2lDocQQggh2jEJOIQQQgjhce02\n4FBKTVNK/VspVamU+lgpdcN5jr9FKbVXKVWllPpCKfXQxRprS7RmPkqpYUqp+gaPOqVU5MUcczNj\ni1NKbVZKfW8b16gWvMdrz01r5+Pl5+ZxpdQnSqkzSqlipdRflVL9WvA+rzw/rszHW8+PUipZKXVA\nKVVme+xUSv3iPO/xyvMCrZ+Pt56Xpiil5tvGt/w8x3nt+XHUkvm46/y0y4BDKXU/8CzwOyAaOAB8\noJTq1szxVwLvAh8B1wHPAS8ppUZcjPGeT2vnY6OBq4CetsePtNYnPD3WFggB9mNttHfeBCFvPze0\ncj423npu4oDVwI3AcMAf2KKUCmruDV5+flo9HxtvPD//AeZh3YE3BNgKvK2U+mlTB3v5eYFWzsfG\nG8+LE9svgpOx/ht9ruOuxLvPD9Dy+dhc+PnRWre7B/Ax8JzD1wo4Csxt5vilwKcNntsIvNfWc3Fx\nPsOw1iUJa+uxn2de9cCo8xzj1efGhfm0i3NjG2s325xiL5Hz05L5tKfzcwqY0N7PSwvn4/XnBTAB\nnwO3Af8Alp/jWK8/P62cj1vOT7tb4VBK+WONmD+yP6etP5EcrF1lmzLU9rqjD85x/EXj4nzAGpTs\nV0odU0ptUUrd7NmReozXnpsL0F7OTWesv7WUnOOY9nR+WjIf8PLzo5TyUUo9gLXg4a5mDms356WF\n8wEvPy9AOvCO1nprC45tD+enNfMBN5yf9lJp1FE3wBcobvB8MdC/mff0bOb4MKVUgNa62r1DbBVX\n5nMcmALsAQKAScA2pdTPtNb7PTVQD/Hmc+OKdnFulFIKWAnka60/O8eh7eL8tGI+Xnt+lFJXY70g\nBwLlwK+01keaOdzrz0sr5+O15wXAFjBFAde38C1efX5cmI9bzk97DDg6PK31F8AXDk99rJT6CZAK\neGViUkfRjs7NGmAgENPWA3GTFs3Hy8/PEaz3+8OB0UC2Uir+HBdpb9fi+XjzeVFK9cYazA7XWte2\n5VjcwZX5uOv8tLtbKsAPWO8l9WjwfA+gqJn3FDVz/Jm2jjRxbT5N+QTo665BXUTefG7cxavOjVLq\neeBO4Bat9fHzHO7156eV82mKV5wfrfVZrfW/tNYFWuuFWBP5ZjZzuNefl1bOpylecV6w3vLuDuxT\nStUqpWqx5jTMVErV2FbXGvLm8+PKfJrS6vPT7gIOW0S2F2tvFcBYTr0d2NnM23Y5Hm/zc859P/Gi\ncHE+TYnCuuzV3njtuXEjrzk3tovz3cCtWuvvWvAWrz4/LsynKV5zfhrwwbp83RSvPi/NONd8muIt\n5yUHuAbreK6zPfYArwDX2XLuGvLm8+PKfJrS+vPT1pmyLmbX3gdYgERgANZGbqeA7rbXlwBZDsdf\nifUe4lKseRFTgRqsS0rtcT4zgVHAT4BBWJfHarH+htfWcwmx/QWOwrpjYJbt6z7t9Ny0dj7efG7W\nAKVYt5P2cHgEOhyzuL2cHxfn45XnxzbOOOAK4Grb36uzwG3N/D3z2vPi4ny88rycY35Ouzra0/83\nLs7HLeenzSd6AT+gqVjbz1dijRqvd3htPbC1wfHxWFcSKoEvgYS2noOr8wEes83BDJzEusMlvq3n\nYBvbMKwX5roGj5fb47lp7Xy8/Nw0NY86ILG5v2vefH5cmY+3nh/gJeBftp9xEbAF28W5vZ0XV+bj\nreflHPPbivMFul2dn9bOx13nR5q3CSGEEMLj2l0OhxBCCCHaHwk4hBBCCOFxEnAIIYQQwuMk4BBC\nCCGEx0nAIYQQQgiPk4BDCCGEEB4nAYcQQgghPE4CDiGEEEJ4nAQcQgghhPA4CTiEEB6hlPqdUqrA\nXccqpf6hlFru8HWQUurPSqkypVSdUirsQscshPAcv7YegBDiktaa3gnnO/ZXWBtG2T0ExABDgR+0\n1meUUv8GVmitV7VumEIIT5OAQwhxTkopf6117fmP9Cyt9ekGT/0EOKy1PtwW4xFCtI7cUhFCOLHd\nulitlFqhlDoJ/F0pFa6UekkpdcJ2CyNHKXVtg/fNV0oV2V5/CQhs8PotSqndSqkKpVSpUipPKdWn\nwTHjlVL/VkqdVkptVEqFNBjXcvufgTnAMNvtlK22564AViil6pVSdZ75CQkhXCEBhxCiKYlANXAz\nkAxsAiKAO4DBwD4gRynVGUApdR/wO2A+cD1wHJhq/zCllC/wV+AfwNVYb4Osw/k2Sl/gbuBO4H+A\nYbbPa8qvgAxgJ9AT+LXtcRR4wvbcj1yfvhDC3eSWihCiKV9qrecDKKVigBuASIdbK3OVUr8CRgMv\nATOBDK11pu31J5RSw4EA29dhtsfftNbf2J77vMH3VMBDWmuL7ftuAG7HGkA40VqfVkpZgBqt9Unj\nA6yrGhVa6xMuz1wI4RGywiGEaMpehz9fB4QCJUqpcvsDuBL4se2YnwKfNPiMXfY/aK1LgSxgi1Jq\ns1JqhlKqZ4Pjv7EHGzbHgcgLn4oQwhvICocQoilmhz+bgGNYb3GoBsc1TORsltb6YaXUc8AvgPuB\nRUqp4Vpre6DSMDFVI78UCXHJkP+ZhRDnsw9rTkSd1vpfDR4ltmMOAzc2eN/Qhh+ktT6gtV6qtY4B\nDgIPunmsNYCvmz9TCOEGEnAIIc5Ja52D9fbIW0qpEUqpK5RSNyulFimlBtsOew54WCmVpJS6Sin1\ne2CQ/TOUUlcqpRYrpYYqpS5XSv0cuAr4zM3D/QaIV0r1UkpFuPmzhRAXQG6pCCEaaqp6vrWfAAAA\nrUlEQVQA153AU8DLQHegCMgFigG01m8opX4MLMW6HfbPwBqsu1oALMAArLtfIrDmZ6zWWq+7wHE1\n9FvgBeBroBOy2iGE11Bat6YQoBBCCCFE68ktFSGEEEJ4nAQcQgghhPA4CTiEEEII4XEScAghhBDC\n4yTgEEIIIYTHScAhhBBCCI+TgEMIIYQQHicBhxBCCCE8TgIOIYQQQnicBBxCCCGE8DgJOIQQQgjh\ncf8fZaCabOL6WvEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f5295b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax1 = plt.subplot(gs[0])\n",
    "\n",
    "ax1.plot(red, ldust,'-o',c='lightgray',linewidth=0,linestyle=' ')\n",
    "specific_Ldust=log10(mod[obs['id'] == HELPid]['bayes.dust.luminosity']/(3.846*pow(10,26)))\n",
    "ax1.plot(z,specific_Ldust,'-*',c='red',markersize=15)\n",
    "\n",
    "ax1.set_xlabel(\"redshift\")\n",
    "ax1.set_ylabel(\"log(Ldust)\")\n",
    "ax1.set_ylim(8, 14)\n",
    "\n",
    "ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## redshift vs SFR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.5/site-packages/matplotlib/axes/_axes.py:531: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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QamtrCQoKEkWn2rq2bt1KVVWVjXCV/fwQLcphLfqkjao/evQoiYmJbN68WbR+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2f5294e978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax1 = plt.subplot(gs[0])\n",
    "\n",
    "ax1.plot(red, sfr,'-o',c='lightgray',linewidth=0,linestyle=' ')\n",
    "specific_sfr=log10(mod[obs['id'] == HELPid]['bayes.sfh.sfr10Myrs'])\n",
    "ax1.plot(z,specific_sfr,'-*',c='red',markersize=15)\n",
    "\n",
    "ax1.set_xlabel(\"redshift\")\n",
    "ax1.set_ylabel(\"log(SFR)\")\n",
    "ax1.set_ylim(-2, 4)\n",
    "\n",
    "ax1.legend(fontsize=6, loc='best', fancybox=True, framealpha=0.5) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
