{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 12"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAMA 12 Photometric Redshifts - V1 (20180410)\n",
    "\n",
    "GAMA15/master_catalogue_gama-12_171210_photoz_20180410_r_optimised.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_GAMA-12/data/master_catalogue_gama-12_20171210.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_GAMA-12/data/gama12_catalogue_specz.fits \n",
    "\n",
    "#### Templates used:\n",
    "\n",
    "- EAZY Default\n",
    "- Atlas of Galaxy SEDs (Brown et al. 2014)\n",
    "- XMM-COSMOS Template library\n",
    "\n",
    "#### Filters used:\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| 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",
    "| 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"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "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-12_20171210_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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      "text/plain": [
       "<matplotlib.figure.Figure at 0x92eb510>"
      ]
     },
     "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_GAMA12_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": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in log10\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "image/png": 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QCMiSDI/HQzgclgYgn89TqVSo1+u0tbWRz+dxu91ks1nS6TTlcplIJMLo6CiJ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jmMxtaBXOOpuEpoe/sin1x+abVqtFo9HEbUpr1ZIlSxg+fDglJSU8++yzvPfee/Tq1QuDwSA2\ns9mMxWKJ26xWK0lJSTGbkq1Rtk8//ZTi4mKGDh1KVlYWKSkpYqutrY05V2VEFzTVPBsaGmK2UCiE\n0WgUqzRlXFl+fr7YorVtU1NT47bk5GSysrIoKSkRpDwlo6VWq9m6dStut5tIJMLx48fxer0xW3V1\nDdNf17F+n5rLnzBQVh3A5/PR0NAgAozozefzkZycTOfOnTEYDAnTyG04PaWfILD0DJ7LaUOSJPR6\nvWglCYVCOByOuLSH1WqNcQZJSUlxNUwl9RkKhViwYAHr1q2La7tQpqIATJgwgaVLlzJ//nyGDx8e\nk6JRIkyAMWPG8PHHH/Paa6/hcrlEI3NNTU1c6qaxsVFEtnl5eSLV09jYiFqtFkbUPMJNSUmhurqa\nkpISXnzxRfr378+YMWPEavGhhx7C5XIxZcqUmO+MRCJ88MEHSJIkahrNV8xK6jkQCOD3+1h0g4uF\nfz1OtSfEyIcivP766/h8Pm6++WY6dOjAww8/LFpR/H6/uA5+v1+QGCwWyxmj7P8342y0yTOBN954\ng4cffpjx48fz+OOPA2cuKFawceNG+vbtm1B1pznORHCnrJpPlMHJyMhg7969cftDoRB33nknLpcr\n7pmRmRRhVO8wf/sKvj6q5sqnTi61qkyR0Wg0bTqyJ8AZm1YiSdIkoFCW5Q1n6pitQXPnEZ0aUVBb\nWxvD2qyqqoq7cUtKSoQqyUcffcRXX31Fv379YlZkSnFcwWOPPcaoUaN49dVXueuuu8T+9PT0GAe6\naNEipk2bxjPPPMPgwYPp06ePmPweDb1eT0ZGhni9d+/euKkLpaWl9OrVK2ZfMBikR48eLFq0CL1e\nzx/+8AdBhti4cSOfffYZixcvjmPHKvT8/v3788033+B2u8V1URrMfT4fDoeDkpISnroBbjvfw+g+\nGezOeJ7zhwzFZrNx0003UVJSwrp162JIGHq9XqTj9Hq9ECrweDz4fL42Az3DOBtsUpblGFvzer0J\nBcM9Hk/C/V9++SXTpk1j4MCBPProo6hUKtxud8J7Mw6aKAAAIABJREFUpaysLKEzO378eFxAfPz4\ncZEWra6upri4mH79+uF2u+Mk+vx+f0w/dKI5k81RX18vnJnf7yccDvPtt9/GHBOank8tpWSTkpJw\nu914vV4kSSISiaDX61m/fj1fffUVLpcLu91OcnIyfr+fDHuYv0+roZ0rjNNl5E8b452lQjZqjszM\nTEH8a5OnbBkndJiSJA0HxgHPyrK8XZKkKd/3WCXC+0DfFv72H0EilZjTbTHR6XSYzWZuu+02NmzY\nkLB3S8HFF1/MyJEjWbBgAS6XiwkTJiR8n1ar5emnn2bs2LHccMMNzJ8//4w2Czc0NHDzzTezZcsW\nFi9eLFbLPp+PWbNmkZmZycSJExN+Vml7CYfDeDweGhsb6datG7t37xYs2iFDzucfD3Whm+pDZJWO\n7JHPkZN1GQAvvviiCBiiiUcKPB6PqMMorGObzdZmoCeJn5tNNmeut6ReZTAY4mqYtbW1TJs2DZvN\nxmuvvSYCPKvVmrBWmZSUlLBVxOl0xgWjycnJwi4KCwuBJs3lHTt2xImi79ixIybwU6YiKfrLzaFW\nq3E4HCI9arfb0Wg0Mb3RShChtJ00RyQSITMzk2AwiNfrJTk5WZDyNm3ahEqlEj3Rfr8fh66Bt25t\npJ1L5usjKt78IkxDQxPh6Nxzz2Xjxo0YjcaEzFxlAlL//v2x2WxtgesJ8GM1zEnA3cAESZKGAULX\nTWqCaI6WZblcluV//jSnefI40w9eSZJobGxk69atzJw580ffv2zZMs4//3ymTp3K/PnzW2QFOp1O\nVqxYQc+ePZk9ezZPPfXUCVU9ThaHDx/m3nvv5fPPP+fBBx9k7Nix4m+LFi1iz549PPvssy06/pkz\nZ/Lxxx/j8XioqanBbDaTnp7Ovffey7vvvkvR8eO8v6CjcJbykDeRM5rE5j/88ENuu+02Ro4cyd13\n353w+Hv37qV79+5AExPZarW2OLWhDQnxs7PJ1uKxxx7jyJEjvPrqqwmdypnC/v37sVqtJ5WOPRUo\ntp/IqSpBxIn6vBXWfDQ5CWDz5s307NlTLA4y7GHWzmykQ2qTs7ziSSM13qYBCIFAgH/84x94PJ6E\nYuzQ5JyNRiNWq/Wker7/m/FjKdl6WZZrgFmSJD0CDFD+IMuyLEnSAEmSfgPUfr/v/3T2nkqlQq/X\nx9wYycnJNDY2ipoZxDtVm80WtzJtHpGqVCqWLVvGeeedx7XXXgvEj8NSjr1q1SpmzZrFY489xs6d\nO3n44Ydj2kGUlI7VamXp0qW88sorPP/889x8881Mnz5dEHzq6+tjansejyeOrefxeES66YsvvuBP\nf/oTJpOJV155hT59+uD1egmHwxQWFvL0008zfvx4hg0bRiAQiIvow+Ew06dPR6VS4XK56Nu3L126\ndIlJO4fqj8PRN5FVOkLnriTiGkGl283LL7/Mo48+SteuXXnxxRcpKSmJWUnIsozJZGLfvn1ccskl\nBAIBysrK6NixI42NjW2SeCePn5VNng4UWcqfWghckXY82ZaXk71PT+QwVSqV6NVsCQp7vPn37d+/\nn9LSUvEcu7CLTzjLy58wUFEXIi2tyWGOGTOGxYsXM3jwYDweT8IVuAJFz7kNLePHHOaaqH/PB5o3\nBX0E6Giaw3dWzOCLRCJig6Y+J0VjVUFdXV0M1b2qqiou+iorK4sRPJBlmaFDh/K73/2OHj160Ldv\nX3Q6XdwNpihkvPDCC/Tv358ZM2Ywbtw43nrrLZGSad++fUy9ZsGCBQwYMIC5c+dy//33c9VVV3H5\n5ZczbNiwGEfbqVOnmJomICaJPPfccyxfvpz+/fuzZMmSGFHncDjMbbfdhiRJPPjgg4IF19yQlRST\nspKOUV9RGMimDEK//gDJcxg5bQRvrFrF3LlzOXr0KCNHjuSpp57C4XBQW1vL9u3bWbFiBQ8++KAg\nYrndbnr27ClIQF27dsVqtbalZE8ePyubbF7DbGxsTFgm8Xq9cczMSy+9lIULF/L2228zadIksb+6\nujqhsk55eXlCEk1ZWVnc/rKyMuGQzGYzwWCQzZs3U11dHdfmFAgE4lZ5Op1O6C8nIiDV1dUJmcr6\n+npCoRDfffddzHv0ej1lZWUcOnQo7vMajUZIYTocDgKBgJjGdOzYMWw2G1arBZD4rDSbmW8cYO1O\nNbkd21O0eTMOh4OXXnqJCy64AICxY8fy+uuvk56eHuekTSYTeXl5cXKdbYjHCR2mLMvvRr3cBPy2\n2d9f/SlOqrVQRJ2jDS8QCJz0xI8TQZIkvv32W5xOJxdffDFr166lf//+J3z/1KlT6dGjB+PGjWPY\nsGGsWrWKwYMHJ3x/3759WbNmDYsWLWLNmjWsWrUKp9PJyJEjueiii+jZM3784IEDB3jllVdYv349\n4XCY3/72t9xzzz1xD6S9e/fyt7/9jdmzZ7cu7STLqLbPJBKROeq4jdKySg4frmTp0qF8+eWX9OrV\ni9WrVwvGL8CWLVtEnXTUqFEMHz6cgwcPAtCxY0dBgEhPT8dms7VFtieJn5tNSpIUp/uayB7NZnNc\nxqNPnz507tyZf/7zn9x+++1if0uN9WlpaQlXUPX19XEZo/LycpHytNlsrFy5kkgkQnp6epw4yIED\nB+JGcJlMJr755hsxnKD5bzabzVRXV5OUlERGRgYGgyFu6sj27dupqqqKGUIQfYyKigpcLpdIk8qy\nLOwm1RLgjWklzPybgYMlapZub8Dn85HmaeIRXHfddTHX+brrruPFF1/k8OHDccGDko72er2YTKY2\nWzwBToUlOxVYLknSa7IsL4n+gyRJ/5BleeSZPbVThzLxQFk5KQQDSZKQJEmsMpvf4InqeVarNc7x\npKSkUFFRgdPp5JJLLuHdd99lyJAhMe8JhUIxJIfzzjuPdevW8Zvf/IbLLruMZ555JsaxKFBSkvfd\ndx8zZ85k48aNvPnmm6xatYrly5cDTWninJwcsrOzcbvdfPnll+j1eq6++momTJhAVlaWIAFEr6gX\nL16M1Wrl9ttvF5F582HY0MTcizayhoYGAn4/B9+4nKGpXxMKwlVzn2Xv92ua9PR0nn76aYYMGYLZ\nbBZsv23btvG73/2OzMxMiouL+fjjj+nZsydHjx4FmnpLN27cCEBBQUHb6rL1OOtt8nQxevRonnzy\nSQoLC8XIqzON9PR0LBYL27dvp1u3bif1GafTKfgNOp0ubpVZVVWFSqU6YX3e4XBQWFjY4ki7w4cP\nx+k/FxcXk5WMGP78+yt8jFvWVHaZOXMmc+fOxWazxaWXzzvvPFJTUxPyJPr160daWppov2srjbSM\nk3aYsixvkSRpEPCyJEkfA28BfYDzgHhe9P8BZFkWTcIqlQqPx4NarY67eZS6noLmKVpokstrnqYt\nLS3F7/dTX19PVlYWl19+Oe+//36MWo7SLhGNXr16sXHjRsaPH8/kyZOZMWMGCxYsiHmf0qStoHPn\nzlx11VWEQiG++OILdu/ezf79+ykqKmLz5s2o1WpmzZrF1VdfTceOHWO+LxAIiEh7165drFmzhjlz\n5sREzkojeTSidT5lWWb16veIbLmDm4Z4CIZVrCy+mkl3DSQ/P5/MzEyRWi4qKhKOdvv27UyePBmn\n08nLL78shLFtNpvQt+3QoQNPPvkkWVlZdO/eva2lpJX4Odjk6WLixIksXbqUxx9/nGefffYn+Q6V\nSsWIESN4++23hZDByXxGUflpbGyMC/oMBoMoB7Wk6GW1WgkGg3g8nrj73+/3s2nTpphUNMDQfu3Y\neL9E+9QmuburnpBxZSXzwQcfJsxCKQgGg1RXVwumrAK1Wi0yPG1s9R/HSTtMSZIeBH4DNAI7gfuB\nj4GRsiy3LHj4H4Qi5q3M2vupoFKpKCoqIjc3l1GjRrFkyRKmTp16wmbqlJQU1q5dy5133skf/vAH\ndu/ezfPPP/+jxmm32xkxYgQjRoygsrJS1BmUqPTHZOWWLFmCzWZj+vTpJ/37tm7dyr333suVOZ9w\n16UQQUvovL9yVdrIGKmy5giHw9x88804HA4WL16My+WiT58+/OlPf6KxsZEjR44I2vq///1vzGYz\nmZmZoubclgo6NfwcbFIZ06XA5/O1WMNMtN9sNnP99dfzyiuvcNttt5Gfn09dXV1CJZqWpoa43e64\n4Le8vDyGo1BQUMDatWv58ssv45yG3++Pq2FC03NArVaLc1fuX6PRKH5LaWkpZrMZh8MRNyJM0b7d\ns2cP2dnZMX/bt28fPp+PYcOGieBe9hZh/nw07VNlvjoEFz8sc/Goq3n66adJSkqK+e2BQCAmAN+z\nZw/BYJCcnJyYwQx2u51gMPijMp1taMKppGRvBHrLslwFIEmSC3gJWCJJ0lRZlhOrCP+HkZSUJLQS\n7XY7kiQRDofFvDdFgksxltYqhqhUKmpraznvvPOYNm0a77zzDn/5y1/iaiXR0Ol0LF26lB49ejB3\n7lwGDhzI0qVLGTVq1Cl//8mcd3V1Ne+99x433XRTXA0mEfx+P/fddx9PPPEELpeLe64Zh6x6D/+A\nvxBO+/HsnnJOBQUFoj6kTCnR6XTs2bOHrl278uqrr3Ls2DGmT5+OxWKhoaGhbTpC63AjZ7lNNq9h\nAgm1ZGVZTqgla7PZmD17Nn/5y1946qmneOGFFwiHwwmDNiW12hxerzeO0FJTUxM3suvqq68WxJjo\nWr/b7U4Y2NbV1WEymQRpJysrC0mSqKysJCkpSZB9bDYbgUAg7vsUJ67T6WJGfwG8++67aLVahg8f\nLpjyEXU6mPNpDOu5aXkD9z1wB3feeWfcFCVoWjxEO0HFWdfX18cED4pUn8ViaUvJngROJaTvrBgm\ngCzLblmWrwQ2AJ+f6RNrDaKjPFmW0ev1OBwOkpKSSE1NJSUlhQEDBtClSxdBHFCpVBgMBrRabcym\nkBCiN7vdHqNd6XK52LdvH3a7nY0bN9KvXz8+++yzGKauMkFF+bcsy1x//fWsX7+etLQ0xo0bx+jR\no/nqq68IBAIxm9frpbGxUWwejydOM7KhoSHmPcr7AoEAq1atIhAIiNRu9Obz+WK+a+fOnQwdOpQn\nnniCe6eN4csvvyTvwnkc67uBUlWTAorb7aaoqIiKioqYrbS0lPLycioqKjj33HNZv3692Ldr1y7a\nt29PdXU1O3bsoEePHjzwwAMMGjSIzMxMvF5vWyqo9TjrbfJMID09nalTp7JixQpmzpx5UjNqW4Ox\nY8diNBr5+9//ftJaqhqNhtTU1BgZSwWKoHlL4inKdyQacL9mzRp+/etfNwk0eIsgUANqI5Eh76Ab\n+Qlf7Spk+vTpJx3wr1y5kuTk5LhgJS0tjb59+5KVldVmhyeBk3aYsiwnFFCUZXkZcMUZO6PTRDgc\nxm63k5SUhF6vFxJVoVCIYDDIoUOHxKQBRbLK6/Wi1WpjHEhdXR0+ny9mq6ysxOPxiK24uFjoxCo6\ntiNGjOCZZ54R6Rq1Wh3nkK1WKwUFBXz++ecsWbKEnTt3Mnr0aGbMmEFdXR1WqxWr1UpGRkaMCHRu\nbm6cSHNWVhYOhyNmS05OxmAw8MYbb9CtWzcGDRoUJ2qtRKAqlYqXX36Z888/n9LSEvYvv4QHh6wj\nJfhV02rcmoNer4/ZjEZjzKYMwXW5XIwaNYq6ujqOHj1KTk4Ohw4dom/fvqjVampqaoQM2a5duwgG\ng0Iguy0de+r4udjkmcCCBQu44447eOGFF5gwYYKQtTuTMJvNXHjhhRw6dIjNmzef9OdsNhs2m43K\nysqYEoleryccDrfY33nkyBE0Gg0FBQUx+1966SUqKyt54IEHwHsc1fphqD65tMlpaoyg+/FsUTQ+\n+OAD/vnPfxIMBmMcrNVqJSsri549e2K329vs8CTQKi1ZSZKupckgw4AErAYOnMHzahWUaK+srExI\nR8EP+rKKMr+Sko3O+TcfMn2qUKvVlJaWMmrUKGbMmIFKpYqhwieCTqfj9ttv5/rrr+ehhx5i2bJl\nfPjhh7z66quif6q1CIVCbNu2TQg4NzdKaLouCxcu/H4SxMX8dWYaKZXLkdGBHGr6nz1FDB3apCc7\nd+5c5s6dC0Dv3r3Ztm0b0NR0fd555/Hdd9/RpUuXNmWRM4Sz1SYT1TATCe23NEg5urZ5//3306lT\nJ2bMmMFFF13En//85xi5uZZqm5WVlXFOq7y8POF3ZmZmkpOTw3vvvYfD4cBiseDxeATDOxrhcFg4\nbkUnubi4GLvdTlVVlfjdypzcw4cPx1yXgwcPkp2dHTOt5+jRo6xYsYLLLruMft3SUP3rIiTPQWSH\njUDAh1Yb73z9fn9CERK1Wo3P5+Puu++mXbt2qNVqNBoNpaWlQNOQ+kGDBolUcht+HK0VX79AluXx\nygtJkp4FVpyZU2o9ZFlGrVYLJpgkSWi1WpEStVgsqNVqsYrUaDRCpf9MpHkkSWLr1q1cccUVzJgx\ngy5dujBixIgf/ZzD4WDhwoX89re/ZezYsVx66aUMHz6c//3f/40bNH2y0Gg0vPPOO0ycOJFf//rX\nPPnkk0ycOBFJkr5nwK5m7ty5FBYWcuONv+XFW8xoDi5FVunwFLxGKPUSSEB0+DFYLBbWrl3L2rVr\nOXz4MEOGDGHw4MHMmDGDrKwsDh48SGFhIYMHD27rvzyzOCttUrHBaLTUF52ottn8/ZMmTaJ9+/ZM\nnDiRK664gtdee41hw4YBTanbRLXNYDAY15/Z0NCQsK5fWVlJ165dmTNnDjt27OCOO+6guLg4YQ2z\npKQkpjaakZHBnj17qKurw+l0Cqas0nvao0cP8d6ioiL8fj/9+vUTrSwKh8BgMPD4wrvQfDK8yVkm\nFSBf+AFalTWhveh0urhrp2S3ZsyYwZ49e8SAaPghFex0OkXQ2uYwTw6tfVrpJUm6TJKk3pIkjQJa\nViT/D0Ov14t+rVAohF6vF2m/jh070qFDB1JTU7HZbHTr1g2TySTSk9FborqmyWSKqWnabLa49GRq\nairbtm2jR48eXHPNNWzbto1wOBxT01TEFZrXOTt27Mjnn3/OwoUL2bp1KxdddBETJkxgz549oqap\nrJaV7UT7Bg8ezMaNGxk4cCC33HILEyZMYOPGjVxyySX85je/QavV8uabb/L0jAFoDi4lImkp6fgM\npap+VFRUUFxcTGlpacxWXl5OTU1N3BY9D9Bms/GrX/2KmTNnMmjQIKqqqvj0008ZNmwYwWBQTGHR\n6XRilR+JRGhoaGibw9d6nLU2eaYxYMAANmzYQG5uLuPGjRM9vWcKaWlpXHbZZWzZsiVmSsmPQa/X\n07FjRyKRCBUVFSI929wZNTY28sEHH2AymcRQ98rKSq666io++eQT5s+fR/uSOUgNPzjLU03DQtNY\ntJdeeimh4L1arSYzM1P0k7bh5NBah3krkASMApKBaWfsjE4DKpWKzp0743A4UKvVVFVVUV5ejtvt\nxu/3U1tbSyQSEey1QKBpqKrCMoseqKoQZ5rXNaPJNVVVVXEknJKSEurq6jh06BBJSUlcfvnllJSU\nxDhj5QZuTjIyGAwkJSUxe/ZsvvnmG2bPns1HH33E4MGDufzyy9m2bVvccNykpCTMZnPMZrVaRb0x\nJyeHd955hwULFvDWW29x8cUXs2PHDh555BE2bdrEiBEjkHOvJZj1/yjr/BxkXobJZMJkMmE2m7HZ\nbGzZsoUZM2ag0WhwOp0xddWUlBTy8vLIysqK2bp27SoYeNu2bSMUCpGXlwc0peXatWsnHizQlHpT\n5MTa0CqclTb5UyE7O5s1a9aQl5fHrbfe+qPtVaeKCy+8EEmS+PTTT0/pc0rblFarFfdy9Ko3FArx\n/vvv09DQwOjRo0V6esaMGWzfvp0XX3yRG2+cSEP3PyBnjGy1szx69Ci33HILgwYNSpgCb9++PQ6H\ng5qamtOe6PTfhFalZL8nG7yuvJYk6R5g8Zk6qdZCkiSKiopE2kKn0+Hz+dBqtfh8PtxudwxZoKGh\nQQxiVlZ+yntPFyqVSqh9XHfddaxfv/6UJPrsdjv33Xcf06ZN48UXX2TFihWMGzeORx55hGnTpp1S\nVKhSqZg9ezZDhgxh/fr13HLLLRj0esxHniGYfS2yIQ1fwYs0ut0kGuN89OhR0f92qpTz2tpalixZ\nwjnnnMN3330nlE86dOhAhw4dBNVeYee1sfRah7PZJqPTiGq1OuG9q1KpEu5XgsxoaLVaVCoVTqeT\npUuXMmLECBYuXMjvf//7hGlds9kcl6pVSC7N4XA4BOmub9++fPbZZ1x++eUt3veJMiLJycmkpqZS\nX1+P2WxGrVbTuXNnrrzySubMmUNxcTHz5s1j+PDhqNVqPvvsM9asWcMfH5nNxMHVyDYbYcsAIjnv\nNx3we4fWkmNrLkISDoe56aabCIVCfP3113FpXIfDQffu3enTpw9Go7Ft8MEpoLWkn1XRL2kaMfR/\nbpyAWDmmpqai0Wjw+/1CVFxhxSoRVzAYxGAwIEmSIBeo1WoikYhgzUZDr9fH3LRmsznuZkxKSorZ\n19jYyObNm5k/fz4LFy4U39vcsJWaavN9yopz2rRpTJo0idmzZ7N3714effRRtFotDQ0NVFZW4na7\nyc3NxWw2x8lfKanOvn370rdvX5BlpK/vQl/2GtLRlbj7rQNJTXl5ecycQbfbTTgc5oorfiBcVldX\nx/W0NTY2xtWIlLrw/PnzcbvdvPTSS0yYMIGGhgYGDBggpPmU39zWh3l6OJtt8qfE4MGDmTJlCs8/\n/zwXXnghw4cPP2PHvuiii3jssccoLi4+5fFikiTFENrC4TD33Xcfn3/+Offcc484z+PHj3PXXXdx\n4aBOTOv6JqodhYRVemg/tVXnLMsy9957Lxs3bozrxYx+j81mo3v37iQlJSVcgbYhMVpL+qmTZflm\n5YUkSc+dofM5LUQiEcrLy+nYsSNVVVXk5OSIlKvS76fI5cmyTG1tLbIsY7VacblcVFdXU1FRgSzL\nCengHo8nZp/SUhINJf0bDZPJxOLFi7nwwgu5+OKLRYQcjUSSevADEUKv17NixQoeeughHnvsMT7+\n+GOCwaBwatDUOP3CCy9w/vnnx6h8RCKRH1h0soxu92y0Za8hSzr8Xe7HaGpyVAorUEEoFIoThvb7\n/XH77HY7u3fv5oknnqCyslJcP4BNmzZxxx13oNFoqK2tRZIkcnJyxBi26GbpNgLQaeGstMn/BBYs\nWMAnn3zC5MmT+eCDD+JEzluLgQMHYjAYOHz4cEKW+ckiHA7zySefUFJSwqxZs0QAunPnTubMmUN2\nMqydEUHlKUJO6ouc95tWfU8kEmH69OksXboUi8XSIpFREWbQaDTU19djsVja2OonidY6zIeavZ57\nuidyJqAIF3i9XtRqNYcPHyYQCGAwGFCpVGi1WhobG5EkSUSMihIHNK3EDAaDaDHRaDRnRGLPbreT\nl5fHDTfcwL59+1q9klKpVDzwwAN0796dt956S9QQMzIysNlsLFmyhMsuu4wxY8Zwzz33cM4558Qe\nQHGWhc8hSzoa+r5KMPXHWbwngtfrZdasWbz++uu4XC66du2KJEloNBpUKhXXX3898+bNY8aMGRgM\nBvx+P2azWUhylZWVid/WtsI8LZy1NhkdZLbUyJ9oPquyvzmal0z0ej0rV65k2LBhjBs3jtWrV8cE\ndTU1NXHBr9vtbnEUWHQ9tGvXruzbt48DBw7EBXSBQICqqqrmhyASiYj6ZTgc5tixY3g8HmbPns2o\nUaMIBoN89NFHLF68mD6dnXw2X4s+cIyIoy+hoetAYyecQL2npX7OYDDIhx9+yKJFi9i0aRMOh4Os\nrKyEY8N0Oh0dOnRg8ODBmEym026n+29Da2uYh5q9jr9r/g9gNBqx2+2kpqYSiUQ4cOAADQ0NyLKM\n3W4XqQhFyECpmShkIL/fH9Nqoui1KqLuOp2OcDjc4uTylqBSqTh69Cgej4dVq1bFCSqfKsaPH8/4\n8U0dBNEPmrFjx/Loo4+ydOlS3nnnHUaMGMHLL7/8Q5o1UIm6dC2ySkdVjxeRTtNZfvfdd9xwww3s\n2bOHWbNmMWfOHOH0gsGgqNlu2LCBV19tmjqlDPnOzs4mLy9PXMu22uXp4Wy1SaUcoiDRDFkFLbWV\nNE8rKqSaaHTp0oXly5czZswYJk+ezOrVq0WqMRQKxd1fubm5CUeBVVRUxLSbXHrppWzfvp3k5OQ4\n+bqysrKE7SYGg4GLL76YxsZGlixZgtfr5Y477mDevHnIssyiRYt46KGHGDJkCH9/4hr0396JnNSX\n0m5/IdXgFDXJ5tdJmbqkIBQK8dZbb7F48WJ27twpMjehUIjjx48nDAjat2/PkCFDyMnJISMjA41G\n0xaongJORXx9RoLdtcBXsixvP3On1Hooqdby8nIhh+d0OsWqp6ysjOrqalwul5CUUwbcKqLtsiyL\nActKPVRhtSpsWYXpajab49h5NpstbkCrEu1mZGSwatUqbrzxxrgoO9rBRO+LNpBAIBBHjFBqtND0\nwLn33nuZNGkSr7/+OgsXLuSZZ55h2q23YjQaQDLj7/d31J4DVEi9MTWrddbU1MSQGOrq6uJGoSks\n4rVr1/K73/0OnU7HihUrGDNmDPADCUJpnG5oaGDKlCl06NCBwsJCzGazSHdHr+7bcOr4OdjkfxID\nBgxg2bJl/Pa3v2XSpEn85S9/OW1R8QEDBqBWq9m8eTN5eXknTbbbvXs3r732GuXl5UybNo2hQ4ci\nyzL33HMPzz77LNddO55nnn0OrVaLW6Vl6u9X8fc1PbHZbBQUFNC3b1/69+9Pv379SE9PR5Zl8XyS\nZZn9+/dz++23s3PnTrp164bBYKC6ujrhKl1BTk4OF198MQ6Hg4MHD+JyueLGh7XhxDiVFWb/77fV\n378eTdOEhFskSXpDluVHz/TJnSoikQhlZWVCHk/RTd2/fz99+/bF7/eTlpZGVlYWe/fuFaxYv9+P\nWq3GarVit9tFHyM0OeGUlBQkScLtdqNSqQTddopiAAAgAElEQVRBR5HMi0ZlZWVc7aC0tFSwdAsL\nC6msrIyLTHU6XZxxGwyGmH0K4y4a0cQZBRkZGdx7771s3ryZv/51OfNG16ChkcA5z4CxMyR3xvF9\n+rn59Ysm/Sgr9miEw2F27tzJTTfdRO/evfnb3/5GVlZWQoFtlUrF/fffz9GjRzGbzciyjNFoxGQy\noVar21aVp4+fhU3+J/E///M/lJSU8L//+78sWrSI++6777SOZzabGTBgAJ9//jmdOnU64dB4aCpR\nfP755xw5coTU1FTuvvtuevToQSQSYebMmSxbtox7p9/AAxdtI1Dzb17/sJi7754j+pOVPuqlS5e2\nqH6kICsrC6vVKqQ9fwzKSD6Xy0VSUlLblKBW4FQcZjZQIMtyA4AkSfOANcCvgK+AM26ckiSNBJ4C\n1MBLsiw/cqL3GwwGevTogdfrpbi4GI1GQ0NDA6WlpYRCIex2u3CQitPT6/VitZmamopWq6WsrEzM\n0VSUSurr64VgOTTVUVqqKbQEZZX6/PPPM2/evFZelZPHTZMmUbLmNxiPLiOCFlW7qUQcfU7rmJs2\nbeKGG24gJyeH1atXk5ycHPdQdLvdfPzxx6xbt47XX39dyIZB0ySTXr160b59+7aG6dPHWW+Tu3bt\n4sEHH2Tq1Kk4nU5hU83R0v5ExJWWSiJerxeDwcCkSZPYsWMHjz76KOeccw69e/eOs9WqqqqExykv\nL4/rBe7UqRPHjh3jnXfeQa1Wi4yRz+cTI7oikQiHDx+msLAQgDFjxnDJJZcI3sQrr7zC+vXr+f2s\nScw7fz2qukMcfOcGptxVxfnnn8+hQ4eE0ysrK6Nfv34cOnSIQCAg7MvhcFBbWwv8kOp2Op1iMko0\nErH3O3fuTGpqKrm5uSLt3NZScmo4FYeZCkSHPEEgTZblRkmSThwKtQKSJKmBZ4HhwHFgiyRJ78my\nvLelz4TDYZKTk3E4HJSUlBAMBunatSvHjx8nNTVViCFD0yqstraWhoYGAoGAcKQNDQ1IkkTHjh3Z\nu3evECqHJuNVBscqQgenArVazbhx41iyZAkTJ04kNze3lVfnJCDLjG33GZpLwR+CsU8GMb/7FA88\n8EDc7L2TxZo1a5g8eTL5+fm8//77MaPMPB4PixcvZs2aNWzf3pQNVAIUZSXrdDpxOp3k5OS0pWLP\nDM56mzSZTMyfP5/Fixczfvx4pk2b1tTa1Awnqm0mSqsm2mez2YStPvPMM+zevZtp06bxz3/+My71\nmJWVFZNNUdCpU6e4tqnKykoGDhzIfffdx7p167j++uvx+/1YrVZ0Oh319fV88803lJSUMGDAAG66\n6SauueYaoOmZdNddd7F+/XoW3T+Ne/r/A6nhEDuOqblkcZM8386dO+OChXA4HNcepuhhK1Acfn19\nfULhBsXR2mw2+vfvz7nnnkv79u3JyMgQrPS2LM+p4VTW4suBLyRJmidJ0nzg38BfJUkyAy0azGlg\nIHBAluVCWZYDwN+AK0/0AaVmlp+fLx7IaWlptGvXTugtKpGYVqtFp9ORk5NDXl4e2dnZJCcno1ar\nxXRypSaq1+vR6XSYzWYxlUSZUKDUN5UpIIpiT/SWlJQk1HPWr1+PLMvMmTNH1COi21iit1AoFPM6\nekxYtKRe89Fdfr8facdsNAefbSL4dH+BbhfN4t1336VHjx6MGjWKZcuWCRaxsvl8vhiJPZ/PJ2qW\nf/7zn7nxxhvp3r07H330EdnZ2eIcdu/ezbnnnsvDDz+Mw+HAbrfTpUsXDAYDTqcTo9GIwWDAarXS\n2NhITU2NSGU3l8Rrk8g7JZz1NunxeATRbuXKlfTv35+xY8eya9eun+D0foDRaGTFihVEIhGuvfZa\noSjVWtjtdqZNm0Z9fT1Lly7l5Zdf5sMPP+Qf//gHu3btwmazMWfOHO6++24hzlFUVMSYMWNYvnw5\nC+b87ntneZCvDsFdq3vhixh/ch1XJeBXiHZpaWmidAXxK9E2nBgnvcKUZXmhJEnrgPO/33WLLMtb\nv//3dWf8zCALOBb1+jgwqPmbJEmaAkyBpps6EolQWFhISkoKJpNJkHMUNqnP56O6uprKykpUKhW9\nevUiOTmZiooK0fKgzLZT6go1NTUYDAZ0Oh1arRZJkmhsbBTOJDrdo8juRaOioiKm1qnValm5ciUT\nJ04UDczKcZv9tpgbujnjEBAtM3HXxXU+8uGXCQ16HWvKcB56SMfkyZN5+eWXeffdd5k3bx7z5s2j\nX79+DBs2jF69etGlSxcyMzNRq9XU19fz9ddf8+mnn7Jlyxa++uorhg8fzvLly2Mo+8uXL2fq1KnY\nbDZ0Oh1ffvkl0JSWbZ7a6tKlC3l5eSQnJ6PT6ZAkifr6ekpKSrBaraSnp9PQ0CDYh22r0BPj52CT\nypg7s9lMJBIhKSmJf/3rX7zzzjtcc801PPjgg3Ts2PEnONUmRugbb7zBFVdcwdixY3n33XfjVo+n\ngq5du/Lss8/idrux2WxUVVXRq1evhA7vX//6F1OnTsXv97N06VLG/s/l7Fi1jnA9jFqiJSgdOW1C\n0snAbDZjsViw2+3Y7XYqKirwer1tK8tW4lTbSoJABJC///f/OWRZfgF4ASA3N1euqanB6/XidDrJ\ny8sTAt/K9ABFKg+aHFBFRYVYzXm9XlJTUwVjNhwO43a7hUpQcnKy0IhsbGxEq9XGOMuTjRQtFguZ\nmZmMGTOGl156SbSInIGLAbU7wNwDOft/CLqGgN4F36du8vPzWbhwIQsXLmTXrl2sXbuW9957jyee\neEI4eaPRiCRJBAIBQqGQID38/ve/Z9asWaIWKcsyDzzwAA888AC/+tWv2LJly48+AKqqqjAYDASD\nQaqqqkQvrNIL1uYgW4Wz2ib1er0c3b6Rl5fHsWPHUKlUrFu3jtWrV3P//fdz2223JZw0kqgPuqVS\niN/vj2OfDxw4kOeee46pU6dy9dVXs2LFCiwWCzU1NQmPnYi0V1dXF0OsU4hw4XA4jvQXiUR4//33\nefvtt+nWrRuvv/AI6Zl53DzlVv6x9jCpyWY0Jjva758VDocjYS+kw+GIOw8lQ9MciYJtlUqFzWbD\n5XKRn59P586dMZvNQrJP+T9pI/2cGk6lreROYDLwFk3SW69LkvSCLMtP/0TnVgTkRL3O/n5fi1Ba\nQXw+H1lZWUQiEaqqqsjMzMRut1NbWytE2ZXROxqNhqSkJDGTzuPxkJOTQ3JyMvv376exsZGGhgaM\nRiNWq1WkGLVarfguRZTc4/EgSVIcu81qtcbc0CkpKVRUVNCnTx8mTJjA448/zqxZsxg7dmyM02lO\nVEhEjBDtKLKMeufdqA8+R7DgT0TyrgGtE76/Js2dWbt27ZgxYwYzZszA7/fzzTffsHXrVr755ht8\nPh82m40LLriACy64IIYBq6SGp0yZwmuvvYbZbMbtdsex9BTGX/Pr0KVLF3r37h2jIasEKUrU21Zb\nOTn8HGwyFAoJYoyC+vp6kS0ZPnw4c+fOZcWKFTzxxBNC9FxBS7XNRMFZIhY5wJVXXoler+f666/n\ntttu48033yQjIyOhg+7UqVNc4KbX6xP2W/p8PjEZCZoySbfeeisbNmzg+uuvZ+mSezH8+1KOfu1m\n8wYPqLRUe2SgJuYYiQYOhEKhOOeoDH1oDo/HE+dcoyU609PTyc3NFWUnh8MhSh9tgiGnhlNZYd4E\nDJJl2QMgSdJiYDPwUxnnFqCTJEntaDLK8cC1J/qAWq0WLQ6KpqrZbCYtLQ2Px0N+fj5VVVUxmrFK\nATwYDJKSkoJaraaurk7ozCp6sYozVpysxWKhqqpKjBBTejabp2iBmGGy0DRHz+fzsXv3bvR6PR6P\nh+uuu44FCxZw99138//+3//DbDaL1gwFzVO08L2kniQhfT0T1YFnkFU6tHoLqigHpqTFml8r5Vh6\nvZ4BAwbQt2/fmEg6EonEfa6xsZFx48bx3nvvodVqkWWZ4uLiOKP3+/0xEXznzp0577zzKCgoiCEd\nKRF69G9tM+CTxllvkyeCSqViw4YNmM1mampqGD58OIMHD2bu3LmMHDnyjNb2Lr/8ch5//HGmT5/O\nokWLmDq1dVqtLWHz5s1MnTqVqqoqHnvsMaZPuZrG1YPQSOXU1IHNnoQ3fMZ5WAnhdDrJyMggNTWV\ntLQ0unXrRlJSEgcOHKBnz6ZeT2Vl2RaYnhpOxWFKNE1zV6BMdv9JIMtySJKk24B/0kRhf0WW5T0n\n+oxKpSIzMxO9Xi9GXCmru9LSUjQajaBmKynXmpoa4czS0tLQ6/Wo1WpcLhcpKSn07NmTvXv3EgwG\nhfap1+vF5/MhSZKYhKDX60Vd82ShtKwUFRWRnJyMyWRi8uTJTJkyhU6dOtGnTx/69OnDOeecw9Ch\nQxPf3LKMtH0Wqu/+iKzSETl/FXLapadwpU8eVVVVjB07lk8//VTUc5tDCS6i0blzZy644AJGjx5N\nhw4dCIVCVFRUiDoztCn9tBJnvU2eDJR7yWw2U1RUxOjRoxkxYgR//OMfY1Zwp4tJkybx5Zdf8sgj\nj9CxY0dGjx592sc8ePAgf/zjH1m5ciX5+fksX76cXh2SqP97P5K0VXxTbmbssxoiGiuxhOYzD6XX\nWVEry87OZvjw4eTm5hIKhWKUjdpWlq3DqTjMP9HEyPs7TUY5BnjlJzmr7yHL8lpg7cm+32AwkJaW\nRmlpKYFAgJycHLRaLZWVlUiSRFVVFX6/H71eL9iyytzL9PR0HA6H0KNNS0ujpKQEnU6Hy+Xiu+++\nIxAI0NjYKGolypBpu92OXq/HZDJx/PjxU57pKEkSRqNRKOGEQiEKCwsJBoO88cYbQNND5YILLuCy\nyy7j0ksvFUQJ6fgbMc6SzNFwiv2hJ4PvvvuOK664giNHjsT0VUYjNTVVzB1t/vuCwSCHDx+mpqYG\nlUpFcXEx0JQuajPcVuOst0m1Wh3z/6swSJtDafuQZZnk5GQ+//xzevfuzV133cWcOXNiAqqW+p8T\nTfyBH/ozARYvXsyuXbu46667aNeuXZzcXV1dXdzK1uPxxKVCDxw4wJ/+9Cc2bNiATqdj4sSJ3HPP\nPZjNZirfGUBXRxWFNUmMXWokrFZjs1rj7AKaOAOJgmxlOEE0NBpNwlW3EngrZSOj0UhaWpo4tiIc\nkpub22ZrpwnpVIaHSpJUwA+MvE/PNvmtTp06yQ899BDFxcWC4apWq6msrBTKP06nUzQYp6Wl0dDQ\nIFpOkpOTqamp4dixYyQnJ4t2kr1791JeXi7qCorwQVJSEh6PB5/PJ25wo9FISUlJjFE7HI4YcoDT\n6Yyr66SmpsbM6oQmZ1JaWkowGBR12W+//RZoYgAOHDiQgoJzuK7zJhzdr0PX7iqgqf4R/eBIVMNM\ntE+Rs4t+feTIEVavXs0jjzyCSqXCbrdTWVkZ8zmtVktNTQ2dO3cWDGSdTif0eDt06EB+fj4jR47k\noosuol27dpSUlJCVlSV0Pv/biAeSJH0ly/KJZWNO7jhntU2q1Wo52tlZrda4/kKIl5SMRCKirSk3\nN5dHHnmEcePGIUmSGA3XHEqfdHNEE/0ADh8+zPnnn09aWhpLly6NmURSXV0d15/p9XoFu/bIkSPc\nd999rF69GovFwi233ML06dNJS0ujrq6OW2+9lS3rV/KHCXDLn/XUNjadjyJg0BxarTahw1Ta26Kh\n/PbmsFqt+P1+UlJSKCgoQKVSkZeXRyQSoVu3bhQUFJCZmUlmZmaLer3/7ThZe/zRqydJUj1NDDyx\nK+pvsizLZw21UZGV6t27N3V1dRQWFgq2WKdOnQSBJxwOi/SFwWDA5XIJEoJi3Er/mNKPmZeXRzAY\n5MCBA9TW1oqIVbmJlfqlUvuMdoh1dXUxN7rSwhINRT4vGs0L/7W1td+vQINcd85hPtjt5W9/+xuz\nAbV6jWDxKikunU6HTqcTjl+r1WIymYSAgMvlwul0ivS1TqfDZDJRW1vLF198wXvvvceePU0Zt0GD\nBrFr166EDdVKalqRC1SG+yoi9uFwGK/Xy5EjR9i/f7+oMUdr17ZFviePn5NNthZKfc1oNOJwOLj2\n2mt5/vnnefXVV8nKyjqtY+fn5/PCCy8wdepUhg0bxsCBAxk3bhw9evQgMzMzxmEGAgG++OILtmzZ\nwscff8z27dsxGo3Mnj2bqVOnCvGRLze8zed/ncKbb9ZhsyUxfmnjf0TJKjk5mbS0NLxeLy6XC4vF\ngk6nExOM7HY7BoOB7Ozs/7qg9KfAjzpMWZbjJf3PUgSDQQ4dOiRYr0qDrkLscblcHDhwQDzc/X4/\n9fX1ZGVlCbZmUVERgUCAkpIS9u7dK/RVMzIyKCwsxO12EwqFxIxJhVFqt9uF4kYwGMRqtYp2lTMJ\nlUriiQkyvxsWYUJpORcuSaW6pl7UY6EpdRMdnarVakKhEIMGDaKiooKvv/464dzOaKjVaoYOHSpW\n33v27IkzOEU+UBFy0Gg0ZGVlxZCtlAkxOTk5dOzYEYfDgdPpRKfTiTaftvrlqeHnZJPNiSVOpzPh\neK+UlJSE+3NzcykuLsbpdLJt2zYKCgp47rnnuOqqq+Le2zyzoqD5EANoajfZunUry5Yt46233mLW\nrFnib1lZWXTr1g1Jkti0aZOYodu/f3/uuecerr32WrKzswmHw1RUVPDEQzOZ3P6vzLgYvH4rb+zO\niRutpdPpEtqbRqNJuGpUbDYaytg8Zb9S93U4HMJxFhQUiIETJpMJj8eDw+EQjNj/xmzOmcQvan2u\nFLyDwSBqtZrk5GTatWsn1HeUtoz8/HwMBgNlZWWiHmk0Gjly5AglJSXib263m8zMTM4991yMRiO1\ntbV06dJFEIiUFVJubm6MkIHf7xfpzWAweMIJAqf4C1k8zs/vhgXxB2Hum3qQmpQ8olNOVqs1Jr1l\ns9moq6tj9+7dYl9KSgr19fVCaQgQBgZND7pvv/32hOcuSZIYPut0OsnNzaVPnz5UVFRQWloqeskM\nBgMpKSk0NDRgt9ux2WxiJdq2svxlIxKJxGQkysrKEtb4lbau5jh69GjMvdyhQwfGjx/PLbfcwpIl\nS2JaQ1oawp6o3UTJxixYsID58+dz/Phx9uzZw/bt29m3bx+7d+/G7/dz7bXXctFFFzF8+PCYQQTh\ncJhly5ax7In7eef2WjqmwddHJJ77IERD4HBc+rU5azz6OIlUrZSgvDlUKhVGoxGdTofVahUONzk5\nGafTSYcOHXA6nSKAzcnJEXq0inxem821Hr8oh2k0Ghk2bBgmk4l9+/aRnZ1Neno66enp7N+/XxAQ\nFLFiZTyXkqo9fPiwEChwOp00NjbSrl079Ho9kUgEl8uF0WgkMzOT4uJiDAYDer0evV7P9u3baWho\nwOVyYbVaaWhoEH2ZOp0uZsVnNBrjjMFkMsXtU0ZhNUHmkWv83Dg4iD8EE1+xseE7HSkptrhah81m\niyEMKDWOaCg13WhEK/go39/c8BWFHgVqtRq73U5ycjJZWVkkJSWJdpvq6mpKS0tJSUnB5XKRlpaG\n2WzG6/W2GW8bThkqlYpvvvkGm83G888/z7///W9WrlxJly5dTuu4kiSRk5NDTk4Ow4YNiwsSlWyS\ngh07djB58mTKDm/jiweNZNmbnOXoPxio8Ur8FGVCtVqNwWBAo9EgyzJOpxOTyURKSoqQvLNYLIRC\nIcrKyohEInTs2FH0lhsMBmw2W1s25zTxi3OYer2esrIyNBoNJpOJjh07sn//fkpLS0VLiFK3U6lU\noolXiVQ7depEu3btqKqqEor+lZWVlJWVCT1KRSzAZDJht9upqakRDk+lUpGcnIwsy6Je6vV6Y5yh\n0tMZDUUXNhrRw6rtRpnB+WH8QRi/VMs/dgaAgBBPiIZCElKg6MRGIxAIxDnR5uPKosecKVAYr1ar\nVQQf+fn5dOrUiYyMDBGUKELYx48fB5rSXAUFBaI+1Ga8bWgNJEkSov8lJSUMHDiQO++8k5tvvvm0\na5s/hrKyMp5++mmWLFmC0+nkknNspFvrYpzlmYbJZCI7OxudTofD4RBKXEp9V9HBzsrKEoF4cXGx\nEAZRGL5KOlaRxWtLy7YOvyiHqdFoSE1NFWQZrVbL/v37KS4uprKykpqaGuEoVSqVILskJSWJNG52\ndjYulwutVivmxlmtVvLz8yksLCQSibB9+3bcbjfV1dUiLdmlSxfq6uqE6o3CmlNWaEorRiKG4Ikh\no1ZBbaPE6CdNdHL5Wb/vp9egPBEU6rrdbqdz586kpaXRp08ftFotHo9HTFVQGI5du3alT58+dOzY\nUQQybQb73wFJkmLmriqtW82h8A6aQwk+o5Geno4kSYRCIQYPHszDDz/Mww8/zCWXXMKUKVMYOXJk\nHEu8OUKhUMJ7sHkdVJZlNm3axMsvv8xbb71FMBjEZjWh1WrZVu5i/HMH+bJQQ0Pgh5VlS7rQChQV\nLIPBIHSpo6HVaklJSSEYDIqVpNK+NmDAAGpqasQ8S6vVSvfu3QU/YNOmTWLerBK4KsF6Q0NDW2bn\nNPGLcpihUEjk7hXGppISVdo9lPy+QudW2kd8Ph/19fWUlZVRVFREUVERGRkZZGZm0rlzZ0pLS/H7\n/Rw7doxQKIQkSaL+Z7FYyM7OprS0VMyH9Hq91NXVUVtbK4Y8GwwGvF6vSKtEQ6fTxaVk9Xodi6/x\nkeaQmfiijvqgmc8OSETrBRiNxrgHgsFgiNlnNBrjiAWJ9un1+phVrkajEStchfyTlJSEw+FAq9UK\nBRFlGjw0rUrbtWuHxWIRQct5550XM9KrLcr970HzGqbSLtIcsiwnbLtItP/YsWPiwb9x40YsFguB\nQIAdO3Zw1VVXkZ2dzU033cTEiRPJyclJWNtMpH4FTc5Kkc98++23ee6559i+fbtwPO3Tdaye0ci8\nt8v5555a9jcGaS7hqzhzBWq1mkAgIJyY3+8XBLnk5GQOHjwoJhJJkiQmIWm1WvHb1Gq1mIyUnJyM\n2WymU6dOWCwW2rdvj0qlEiMNDQYD+fn5WCwWca0bGhqEA23L7LQevyiHKUkSbrebvLw8TCYT1dXV\nuN1uMWXcZrPRq1evmB6vYDAY4wT37NmDzWbDbDaLCRyhUIjvvvuOwsJCQqEQKSkpZGRk4HQ6OXbs\nGJ06dSIQCAjnqLSYKMNdFZZdamoqKpWK+vp60ZelOM5IJNLMgck8+v8C3HpxUxq2R0aAHcfr4pxj\nKBSKS+UqY74UJGLrKpqw0VBGhSlQWkIUZmtVVZVYIWZlZdGvXz9MJpNQKsrIyKCurg6r1YrBYGDn\nzp0UFxfHCDwrgQS0RbltODNQqVRimpDFYqF79+4sWLCABQsWMGDAAEaPHs2VV15Jjx49Wmz1iEQi\nbNu2jXXr1vHBBx/wxRdfEIlE6NWrF3a7Hb/fT7s0Lf+420+HVJmZl4b4YO+JyXyKk1NUwJRAORwO\nYzQasVgs1NbWihGEkiRRXFyMVqsVrNbMzEycTidFRUWYTCYxUUlpf8nIyCAlJYWioiLUajVWqxWT\nySR6v+vq6mIcZVuQenr4RTlMQCjJOJ1ODh48KEZFJScnk5OTg8fjITMzk2+//VZEvxUVFZhMJqqq\nqkhJScFoNNKvXz9kWaauro4dO3ZQXFxMWloaaWlplJeXix7DjIwMHA4HHTp0QKfTcfjwYeEkamtr\nsVgsOBwONBoNOp2OzMxMvF4vwWBQMAatVquoeQLodFoeucbPbcMj+INwzdMqth6KXVmeLBTCUmuh\nCDrY7fYY0Qaz2YxWqxVShLm5uWLUmDJkOysrS6isBAIBysvLY0TX29CGMwklm7R161bsdjuBQACV\nSiVG2aWmptKnTx8sFouYE6lkojZs2EB5eTmSJNG/f3/Rt3z8+HHMZjMus184y6+PSFz1Rx2y3HLN\nUqvVigHT6enpVFZW4vf7xSpTqT3u27dPcCKUGbM+n4/8/HyCwaAg0kGTGlJSUhK5ublkZGRQUVGB\nx+OhpKSEsrIywdmwWCyiXmmxWMSw6DacPn5RDlOtVotUhtfrFc4sOTkZlUrF0aNHOXr0qKBsRyIR\nunTpQnZ2Nh999BGRSASHw0G3bt1Egb2hoYEtW7Zw/PhxjEYjKpUKl8tFOBymuLiYxsZG3G430ERs\nqaioEBJVKpWKYDCIw+EQ/ZtpaWm4XC7RfqKItUez8BaPh9svlvGHYNKf7azb8UNKS5m6kgjNxdmV\n66Fo4LYEpR9SOYbNZsNisZCSkoLX6xXjvnJycrBarWRlZdGzZ0/xsHE6nZSVlSHLstDgVb7fYrGI\n9hrl/RaLRdDc26LeXzYU2TYFimBIc1it1oSBnd1uj3t/S/XOlJSUuGOUlJTQv39/Dh8+zIgRI9i1\na5dQAlMyMZIk4fF4cLlc5OXliYyJgpxUPct/qzhLFVc8aaTeL6HVtixVpzwrGhsbKS8vF4FkUlIS\nBoOB3Nxc0UOp1FO9Xi+1tbWYTCY6dOiA1+tFlmXB4u3SpQvV1dWkpKSItKzCjtXr9UCTYphGo6Gu\nrk4sFtrs68zhF+UwQ6GQ0E9MSUkR5B+32y1aRxRFn/r6eqECpDiTlJQUMc5KqQkoDNOsrCwxIqew\nsBCfz8fBgwfFMSRJoqioCLfbjcfjEQ38KSkpYpqJXq/HaDQiyzL19fUiTaPVaklPT8dkMuHz+dhW\nrKHeV8qsv2ey/psIdrtGkCfS0tJwu91iYnp047My81OhklssFsxmMyaTKY4VG90DqdfrRUpLSSMr\nfV6lpaVUVVWhUqno3bs36enpJCUl0a1bNyorKzGbzeTk5GA0Gjl+/DjhcJjDhw9jNBrF2DOlTScQ\nCAgCSFtq9r8DsizH1CxlWU4oBReJRBI29suynFAVK1G9U2GkN4cySei9994T+ywWS0x/p0qlwufz\nxfV9AjTUq9j8HdR44JLFUONt+j0+ny+OB6DURjUajUiRpqam0tjYiMPhQKVSUVdXx9GjR1GpVGRl\nZdGuXTsCgYAQB8nLyyMrK4uDBw+KLJ24i9sAACAASURBVE6nTp2EHnZRURG1tbWkpqaKfmZl6IES\nkLbhp8EvymEq5JOSkhJCoRDHjh2jtLRUpEaUB7/CmlWr1eLGNZlMIg0CTZM5FCHmtLQ08vLyxMxL\nn88nep10Oh0FBQUEAgGOHDkian5Wq5Xq6mpkWRZjsOx2O16vl6qqKhobm6Sz7Hb792lbO8P6mPl0\nb4Ad5RKXLLVTWuUHfBgMBpKTk0Xbh7JqVVi4yhiuhoYGKioqRIQbnfZ0uVw0NDQQCoUEcUBJK1dX\nVwvtXavVitVqpaqqCp/Ph9/vJz09nYyMDNLT0zEajWRkZNCxY0eMRiONjY3Y7XYhXl9YWMixY8fw\n+/2YTCYhuac4cZPJFEM8aEvNtuFsRVZS0yq2tE5i0gsSZr1EvS92RamoXel0OuEolRq+QrTJz8+n\nvr5eMPih6b4vLy+nffv2FBQUiOEOCvM8PT2dqqoqvF4vlZWVyLIs6qFJSUkkJSUJ8ZHS0lIikYiw\nQ0CkYdvs68ziF+UwlR5Bk8lEKBTCYrHQtWtX8vPz8Xq97N27l7q6OlQqFd26daOxsVFQvGVZpry8\nnPT0dJHWUWpziqDB/v37hbSX3W4nNTVVrOAaGhpITU0VKUiFcaow1fR6vbjpJUkiNzeXLl264PV6\ncbv/P3tvHh73Vd7t32f2Gc1oNNKM9l3e5HhfkoLjbJAEQgghKW0hTQOFFFqaUsIWCG/fX1NIWyAQ\nEtIGSIDCS8OakFCg2dlCyO44TrzbsiVZuzSSZp/RnN8fo3MyGkuybMvW4nNfl65Ys3znaDLPPOc8\ny+fp5UObd/OeTQN8JlPFQ6+UIJ0uiopsuqdydHSUdDpNPB7HarUSDAaxWCz09/drDVyl0Qq5Ap6R\nkRHcbjdlZWW6/SWdTlNUVEQgEKC0tFTnUS0WC83NzVRWVuoJL0pW6w1veIM+Jff09BAIBMhkMjQ2\nNhKNRnE4HLrHVVUJRyIRSktL9RoKJz6YvjDDfKYmIPnfTySREi77soUDXYLRo4t7tXRmZWUlfr+f\nkpISVq5cidPp5Omnn9ZD51W6pL+/H5fLhd/vx+Px6OlEtbW1LFu2DCEENTU1NDc360pzt9ute6KV\njWYyGaLRKNlsVhcVqep8xVS5S/U4Y3fHz6JymGqAtKpmVWoX+XmC0dFRXf25YsUKffIpKSlhdHSU\nkZERXaSjnITD4WBsbIzq6mrsdjuJRIL+/n7teFRYpqWlBbfbTX9/P/F4nJqaGrLZrM5jBAIB/SH2\n+/3jo8i6+MD6Hfz5ugFSGcFIwq7bUBwOhy4EUhW4Y2NjesZnvjNUgglLly4FcmokSqxdKfhYLBb6\n+vq0KIOawjA6OooQQisZKQWjdDqtdXLLysq0BJcSLBgeHiaZTHL48GESiYTe+S5ZskSHjMvKynTe\nt1A31oRlzwzy+xrzpezymUzpSt1emK9UOfBClNJNIT6f76gwcH7LRT5Op5MSR4Rffiyhc5apMRtC\nvK6cpYad22w2rQDm9/tpamoiFApx1lln0dDQQHV1tda0Hh0dxefzEQqFyGQyhMNhrQUbjUZpbW1l\nZGREq2Sl02kdnVKyk9FolObmZoqLizl48KC2u7q6Oqqrq7UNKduD1zem+Y7R2N2Js6gcppSSrq4u\nrbyT3zCtYv01NTW0tbVpNSCVT1i6dClLlizRjcvhcJiDBw9SX1+vd4mVlZXE43FSqZSutGtpaWHd\nunW8+uqrPPPMMwQCASoqKrDb7Xq82J49e+jv76e9vZ2GhgZ9Cisp8fOO2ic4v7KbVEbw4R9U8kyH\nH6fTrnu1lLKHajspKirSeViHw0F5eTlWq5Xh4WHsdjtdXV00NDSwfPlyEokEJSUlDAwM6OHY6qQX\nj8f139DQ0MDY2JjezabTaV3qHggE8Hg8enxXVVWVHqCtnLEqVlDl/erLSJW1Z7NZ3c+pnGb+jEIT\nNlq8FOYsVVqgkMmUriC3USy8Pf/zlE8mk5k0DzrZ7clkclKHWeqK8YuPJ2gphxcO5nKWw/HYhFyl\nmkuphjiUlpZis9n0DFv1fVFdXU1tbS0dHR10dHSwZs0aEokEO3fu1P3TKnzr8/l485vfzI4dO3RO\nU127sbFR6y8r59fQ0KAr4FWRXiKR0HUOiskco0mHnDiLymEKIfD5fBw6dIjq6mp9OlMVsarcura2\nFrfbTV1dHb29vUDudAjosGt/f78+Wdrtdvr6+nQOQlWojYyM6IKXgYEB2traiEajNDU16bLxHTt2\nTNCSVeuwWCw02l7m/MqXSY9Z+Jdfr+VgqpSNG+vweDxs27YNi8WijVLlN1Rzczqd1mHVoaEhxsbG\ntJDC4OAgHo9HT1rPZDI0NzdTVFRET0+PDksHAgE99ufIkSMMDQ0RCASoq6tj7969BAIBWlpatDau\n1WrV1X/5RQYej4d4PE4ikeC1115j5cqVlJeXc+TIEV3aHwwGJzhLs8M1zEe+9lcpllQoZ2khHBPk\nF8K6XC7dQ+l2u/WGUhXxqbqF5557jsrKSkZGRhgaGsLtdlNbW8uePXsYGxvTzrCiokJ/NwwMDOh5\nnB6PR+dDlWiIshVld9XV1frkGIlEtE0pgRDV/1zoGM3QgxNn0TnM0dFRnVMrKirS5drKSUQiEbLZ\nLFVVVXpOnBoOq05DiUSCYDCoC31eeOEFOjs78Xq9hMNhBgYGdNl5OBwmGAxSU1PD+eefrwUNBgYG\ndM6xoaEBv99Pf38/tbW1pNNpOjs7+d8dTqxDNezoKaWTVQQCcWpra/H7/XqYdFdXly4uUu0dUkqC\nwSAjIyOMjo7idru1MIIK/fT19ekTYHNzM+vXr+f3v/+9FnDw+Xy6aMDv91NTU4PNZmPDhg0MDw/j\ndDp1/2p1dTX79+/X4TSVvx0cHGR4eFj3pabTaT3iTL2ng4ODVFZWTjB4s8M1zFc+/F8Obn1Xkr/7\ntiAcy1Wmq9NpWVkZ2WxW67iqtjUpJVarFSklNTU1jI6O6rSOEhZQgxxUMaKKDKmeZnUyVMPunU6n\nrolQG35A61KPjIzouol8p5hvU8Yxzj6LymGOjY1RV1eHxWLRg52VsxkcHNRSWGNjY5SXlwPo05Ka\nJdnY2Kh3Zir8ODY2pkvI/X6/rkgbHh6mv79fK+ls3boVn89HR0cHR44cYc+ePSSTSerr6ykvL2ds\nbIyRkWG2FD9GytnEvmEr976wbDzsOkg2m2XPnj061DIyMqKT+6rtpLu7m0AgoHOKIyMjJJNJQqEQ\nHo9H51k9Ho8WHFCtKGoYryo+CofDOpyk1IdUTka1mih1EVUlq/rlUqkUpaWljI6OUltbq8Pb8Pqp\n0ev1aqPPZ6aGbIoTFj6FvcGqYryQyaQhAV0sl4/L5Zr0sWqE32TXKAwD2+12HdatCUg+dFGG/3u/\njZ5RG9f8R2Z87WgHmX991a9dUlJCc3MziURCt4qpEGlpaSlLlizRtgG5trWhoSFCoRB1dXVaptPh\ncBAIBLDZbGzduhV43UbyN/uQ29Qrm1T2oSJWxjmeehaVw1RDV5uamujt7WV4eFjPvIxGo0gpKSoq\n4uDBgxQXFxMMBvF4PLrKVfUqKufocrlwuVxUV1cTCoWoqqoCcmFbi8XC8uXLtfhAe3u7brFobm5m\nz549WgdTOehMJs1byx9hpfVlLmps50u7P8DBQ25CoZAWI1CCBvF4nFgspvMcfr+flpYWSktLdSXe\n7t276ezsxOfzUVVVpQt2fD6fdubZbBa73U5xcTH19fU0Njbywgsv6JBudXU1K1asIJ1Os3//fjwe\njz59OxwOpJTa6JVqiAqt9vb26hOtUvmprq7Wupuq8vZEDdmEbhc++TrDgK7mLORoacgc0Wj0qNsn\nm/YDk0tAwtFSkfC67GOuGlaypAIiiSyf+9nrcyjVplH1TyvZy2AwSHl5ua5UdzqdBINBksmklrQr\nKSmhu7tbp3WWLVum111cXEx1dTUOh4O+vj48Hg/Dw8OUlZVRU1MzIfSq1q3sK//vKWwdM5x6FpXD\nVM39sVhMO0N1SlMVZyrXoHRRVVijvLyc3t5eotEoPT09+lSqTklqEkokEqGurk4LkXd0dNDQ0EA6\nnSYcDuv2j1WrVunBrTabjRK/nw3yu6y0PkpW2NlfeiP+gItgNKVPjx6Ph/3795NIJLQMXSgUorm5\nGb/fT1VVFR6Ph/Lyci27p3a4Sju3oaFBO9RsNktTUxN1dXVa7GDJkiXE43GKi4upqKigrq5OO2i1\nU1ZG6na7aWxs1BWBkUhEh6tVhW00GtWnVECfBtVkhOLi4hM+HZrQreFUUhOQPHGz1DnLOx/OTVMR\nQuhTncPhyFXOlpToitYlS5awYsUKLUyiTo0tLS26f1k5tKGhIb0Rr6io4MiRI/h8Pl3VWlRUpIvx\nVNGcIhaL0dPTowv08jeN6kRpIi+nl0XlMFWfUyaToaSkRCe/4/E4K1asIJVKUVxcTFVVFTU1NYTD\nYTKZjA5rqMIUr9eLz+fTjkDtONV/q6qqdBhX5e88Hg99fX1aXNnlcrF582b6+voo9vmo7v4C9dZH\nyWLnN9l/YG9nCJstzoYNGwC0nmxZWZlew7p16xgeHmb9+vV6bFZrayt9fX367ywqKiIcDmtFIyWM\nXl1dTVNTkx41lkwm6e/vp7+/n8rKSp3zVCLNqudUzdRTcn9q+ovL5dKvqU6uavp7KpXSwteK2XB2\nJsy0OCgcOD4Zk03wmer2fJucye1KXCCfujLBw5/MOcsX2wRX3uEhkZW4xttAVBW6x+PR8n6qwCcQ\nCJBMJvH5fNhsNpYsWUJjY6NW7lK2oUZ4qQ2k3+9n48aN2Gw2KisrSSQSeq6sw+FgdHSUWCymv7fU\nc1WKpre3V59Q1ebZcHpZVA4T0L2H+eGMUCgEoEXAQ6GQbslQOTL1gdyzZ4/OE9bU1OjilZ6eHpxO\np+6/VCo3ai6dqrxNJpPs27dPFxCVlpZS7LEQ6HiVMWy86PkMBwbqSCRy7R2HDx/WOcHGxkZWrlxJ\nSUkJnZ2dukDg2Wef1dqTIyMjWjQ6k8lop6d6KVUbSTab5eDBgyxZskSf9tROV1Xgvfrqq7S3t7Nh\nwwZtrJDT+2xpadFjkVThgVIvUVV7LpeLwcHBCbtihXF2BkW+E1P9hYWofsVCVK6u8HpThXUnu13l\nHfNZWj5GfVnuZHnF7S5Gkxbsdove8KqJH6oKvr6+nqamJrZv3053dzfhcFifEpXDa2tr060dKoVR\nWlpKTU0NL730knaiSiKvcFOpCuaU3XR3dzM8PExlZSUWi0W3vJmT5dyx6BxmPB7XjkUNc04mk1of\nUrVqFJZbRyIRuru7dVGPUrUpLi4mk8nQ19eHz+ejvb2dqqoq3SOprq0mDvT29uqquhK/H4/Thqc4\nSGbrrxjsf4GQ92zW9vdTXFzM888/T09PD9FoFLvdrqecjIyM4Pf7cbvdlJaW6nyhkpTLZDKsXLmS\nAwcOUFVVRXd3Nz09PVrQIF8FJJ1OaxFotVNVcnwqXD00NMTo6CgDAwOEQiFqamq0M1TvUU6RKKeT\nq8YKqZBzoX6lUvqBqdVGDGcGU43TmivsVkl6TPDoDsFbvyB5pcNGNC1IJmPY7XYtJhAMBgkGg9TX\n12u1K4DOzk7dX71hwwasVivLly/XJ8VAIEAkEtHTkNRQheLiYg4fPqztfdmyZRPCrGoTqyJekHOY\nnZ2dVFZWTpC6M/Y0dyw6h6laH5QIcjgc1mEgVbGpcgUqxKEoKirC5/OxdOlSLaOndBpVLrKuro7y\n8nIqKyt18/2ePXt0lahS/UgmEpyVuhfrwQOEffdgLa5E1F6CZWRE5yyXLl2qhQlefPFFwuEwg4OD\nuqBACEFrayuhUIiOjg4cDgcOh4NoNEpfXx9Wq1WPCqurq2PdunVEo1FcLhdFRUUMDQ1RWlpKeXk5\nzc3NdHV1Aejp7cuXL9fCBWqiggr1HDp0SKsaqf7VioqKSXu7CkNDKveinLMqfTecedhsNpqamhga\nGtK9vGo6yGwzlXNWPcM1pZJHb4JbHpA88KKTPx7MnSgtllzIVRX2VFVVUVtby5IlS/TABZ/Px8DA\nAMuWLdPylIFAgHA4THd3Ny6Xa8L3QjKZJBaL0djYqD//g4ODJJNJysvLj7IZlRZR82YBLa6unKSJ\n2Mw989JhCiHeBfx/QCtwtpTy+Zk+V7U9qJJsVbCS/6FTOQUll6dKx1UVrMfjobm5me7ubkZHR6mo\nqGDJkiWUlpaSSqX0tVTDfyQSYWBgQOc8kokEdX1fJpB6CCkcJOO7iES8dHZ2sn//flpaWvB6vUSj\nURobGxkeHmbjxo1s376dpqYmamtrKS8v5/Dhwzp8pSTq/H4/R44cwe12EwwGtehzS0sLVqtV72rV\nHL3R0VH6+/sJhUK6QMfhcOj8bDAY1DkVFe7p7+9naGgIv99PJpOZMIS2kMmMWDlX9R6rHLFh4XKi\nNplzSDm7SyaTWCwWnftThTXqMYWhWuVc1XXg9U2t6nMG9JB3NcMyXyQklUrlxmOVCZ74jKSlAj5+\nuY3ftpVgd+RSNCrHmS/Pl0wmGRgYoLa2lkQiQXt7O0eOHNHzbePxOOXl5aTTaVKpFLt27dI2VV5e\nzrJly4DXIywtLS1agWcyDeVCaUBVaasUvwzzg/n6f2IHcBXw9eN5Ur6Kjsfj0U4zX11GGa/KM6i8\nHKDbOCwWi1b1icfj+rFK31W9Vjabpb6+XvcjxuNxgmVl1HR/kYrUQ2SFne4ld5IpWkd0eFjPmlQh\n28HBQdra2igqKtKjtVRxQW9vry7Yqa6u1pM+VL+kzZYTZo9EIthsNj1i7PDhw7rAoby8fEI4Wn1R\n5e/u1QkyFosxOjqKx+PR8yxdLpcu/jmeHa4aeZb//hsWPCdkk0IIYrEYQ0NDujc6Eolgt9v1MICy\nsjKdZ89ms7rIRkkyKkficrkmTAdRdqRsU538lKNU00NqApJHPyVpLodXu5x88Ae1eH02rQOtxn/V\n19frOZmqSn10dJS1a9fS2dlJMpnUDls51JqaGtrb27UIu8rnF24ulU3ARFWefJvK//7JH/xs7Gf+\nMC8dppRyJxx//iN/t6b+na+UoXZxqtJThWNVQl0VDGUyGXp7e+nv7ycSiZBMJrWyj/qARyIRenp6\ndAGRMpaa/ruwhn+AFA76W++mO7uWbG8vNpuNxsZGrUPpcDioq6ujq6tLNzk/9dRTdHZ2cujQIZLJ\nJH6/XzdpHzp0iFgsxtq1a9m4cSN9fX1azWjZsmU0Nzdz4MABRkZGdLhItaCozUMikSCVStHf309Z\nWZk+Eauco/piyt9UFO6A8x3gsUQFTBhp8XCiNqlOkirHn81mJ7RQqDy7ckJSSmw2G0VFRXpahxqF\npxyueq46PZaWlupB5ypyk0wmcTqd+F0ZHvlUguZyyfYOO+/+Zik4nIRCuVRFOBzG6XSSSqWoqqqi\nuLiYtrY2hoaGdIvZkSNHaGxs1PrUra2t9Pf3U11drU9/paWlWkIyX9VKkW87+d9DKnqjnGV+SDbf\nfqYT8TACH6ePeekwjwchxN8AfwNQV1enG4cLd275syNV2FZNHVAfOFUw1NfXRzabpby8HJ/Pp090\nhTs91X6hRoRFo1Gi/vPx2u5hcPmXyYQuoWh0lKKiIr27dDqddHZ2UlNTQ1VVFXa7XRtjKBQiHA4T\njUaprq4mk8lgtVo5cOAAbW1tQC781NzcrKeFqEkiJSUlOiSkTqXKmC0Wi86FqJ1wvlErZ6mKgfIF\nA/J3yvk7Y5hc2NlgyLdJFSUZHh7G7Xbj9/vp6+vT6RJ1IssvkFG6yGNjYwQCAd0PKaVECKEFQaSU\nOBwOPVjB7/drERBl2/HsGL/elSWWllz77QqGohkaQ37WrFmjQ7hqwHkymaSuro5YLKYjPiqPGAqF\n2LJlC729vdTW1tLa2orFkhsyryYHqaHpk50IC0U4LBaLnipSWDE7mdNTG/SKioqjTq9G4OP0MWcO\nUwjxGFA5yV03SykfnOl1pJTfAL4BsGnTJpk/nFihlHzU1IJQKKQVO1QuUlWWQq4NRX2IVcVaYbWn\n1+vF7/fnpgpYrbhHn6MnVk9X0RIsqx6lqKRKq32oIcqDg4O6whTQIV2LxaJFE9TIrlQqJ2jQ29tL\nSUkJVVVVBAKBCX2PakSXOhk6HA5aWlpoaGjQLTPKgJRBeTwefD7fhPdIhZzV+zFVD+Vkt5tw0eLh\nVNik2+2WSpxfSTK2tLSwb98+3G43RUVFWjRDtYOlUqkJBTB+vx+fz6edk8PhwOVyaVlINT2ovr6e\n5uZm2traaAhZsVuytA1Yuf2pKqr3FuMrsyCcESoqKqitraWsrIz29nY93s/tdtPX16elJ88//3xK\nSkrYt28fmUyGw4cP43A4GBoa0jZcVlbG6tWrqaurI5PJTOnwCm1H5fnVv08mGmMEPk4fc+YwpZRv\nPhXXnSwUEolEcLlc+kOunIzK36mwrcrjFRcXU1xcTCQSIRwO66HU6rnqA15eXk4sGsX+yidxtt1N\nOvCPCPsNpMlds6uri507d2K1WlmxYgXZbJbKykoCgQD79u3j0KFDeobm6PhJdPny5fo0rGZq9vf3\na3WheDyueyoPHz6M1WrVp0JVuKMEGCKRiN4sQM4xKhWS/v5+/TgVslbvx1TGWxgiMiwuToVNOhwO\nWltb2bFjh47iqPYNpVGsHKqSlnM6nYRCIdLpNNFolJqaGt2upSYFKUerIjyBQAC73c6OHTsocUS4\n95qDuOyCD/54BW39giO9o1r7ta6ujtHRUYaHhykuLiYejxMOh3UF/ODgIHV1dXodXq9XD1SPRCJU\nVub2FOqEqKQkp6PQpvJzmjNhunymSX2cPhZ8SPZYqBYHQDtMNaA1/0OuPozd3d06r+DxeOjp6dEj\nd1TvIox/gIXAu+f/QNvdZLHTMWTDMz57sqenh6qqKlpbWxkbG9OnxcJKW6XsE41GtdpQfX09vb29\nOBwOBgYGAOjt7WX16tVaED0Siei2FjW9Xa8rz7BGRkZoa2vT1X35p22l2KPWonJKM8mHmDCQYSYI\nIaitrWV4eFgPdlefe9XelE6n9SQg1XbR2NjIrl279GdU9RULIUgkEsRiMb1ZLC0tJRQK5TbG2X6+\n/q426kszvNrlQtr9+P1CV7OqfmvVs9zd3a0n9Sxfvhyn06mHp/f09GgpSKWApQQWCk+IpxrjFOcH\n89JhCiHeCdwJhIBfCCG2SSkvPZFrTfbBVnnOwoZ7FZ6NRqM6nNnQ0KAbmfMLYJASXvwo7P4q0uLg\nSNNXiQ02UFlcTDQaZdu2bWzYsIF169Zp55LJZLQYgGpG9nq92vmpXKYKAycSCdxut57NqYp3VLHR\nmjVriMVius+rsPpOiRw0Njbq39XJWOUt1d+kTphwdG5yMidqwkBnFidqk9lslo6ODj2rNhqN6rYm\nlaqQUupCndLSUurq6igpKdHVs0rPVf2oAjuLxaJPoYODg9SWwuffvpfakjR7B4r59+fOw1vqIykH\nqK+v17nPdDqt7SqRSJBMJqmursZqtdLT00N7ezs+nw+3201NTQ2Q+84YHBxECEF/f39OwavghFhY\nFDcb4h2moGd+MS8dppTyAeCBk7lG/get8IOdL4mX//hsNkswGNQVoiqkqUIw8Ho+1NLzCN5xZym2\n/pTKirdgGw9zHjlyBI/Ho0UUAO1w81s1iouL6e/vp7e3l0Qigc1mI5FI0NPTM6GvrKSkBL/fTzAY\n1NW9+fnJfHEBtcZMJqPFB0pLSyfdGChxdGWMU+UmJztNmh3vmcWJ2qQQgsHBQcbGxggGg4RCIWw2\nG+FwmOHhYcbGxqioqNACHCqH73A4aGxsxGq1ahESpeG6atUq7HY7HR0ddHR0aOf7wY2/pbYkyaHR\nIHfsuJT6JY16WpCSjlRj8Lxer86Vtra2UleXG9ze1dVFIBAgk8lQW1urhzkoybuqqiqam5t1DhVe\nt4lCIZT8oh4zsWdxMC8d5mww3Qdtsg+wkn4DtCD5VL1SOXmrJdTVfARPzRbcNZdj43VHXFlZyTnn\nnEMwGJxQ3aZOdkrbVoVGKysrqa6u1ifFiooKRkZGiEajBAIBli5disfj0flGNTtQnRDVwOz8tR46\ndIiBgQHKysomPQUWVuXl/42F7405TRpOFKvVSklJCel0Ws9i7e7uxu124/P5SKfTuoq8t7dXfx7V\nplBVhXq9XkZHR3XrhZSS/v5+wuGwnqjzzZc3k5LbeeDwBQhnic4/Ahw5coTOzk49LF31KBcVFen/\nqnqCtrY26urq9ODnsbExGhsb9aY1lUpNSPWok18qldKpHmXHyk7zB0Afz2nR2N78YlE6zMK+y1Qq\nxeDgoFa1mSrEOFlOYsIHVUo8e2/FX3Qhgdr1xIMfx+r14hx3XLFYjHA4rNU+VMuKyr/EYjEtrqz6\nrpQIPKBzkuokevjwYcrKygDo6urSepXKeaq/dXBwkKGhIYaGhli5ciU2m00LIKjnF5Ivqq5O0qaf\n0jDbOBwOGhoasFqt1NfX69Fy3d3dFBcX63oBgMrKSjo6Okin02SzWZYuXYrdbqe+vp4XXniBeDwO\nQF9fH6Ojo4yMjFDuTfH+tS/zw72b6eoR/PDw28ZntKapra3VA6hVfl4NTbBYLLoNzeVyUVZWxuDg\nIH19fbo/srKyUk8QWrp0qe4pVSmRUCg0wWYLUz2qcLBwADTM/LRobG9+sSgdpnJMymH19PRobdPq\n6uopQ4wqdJsvHq6REl74Ryx77qDM8W363vAH4vGMHumjwrhqukL+6yuU81VNy/nOUk0myHda2WyW\noaEhMpmM7t1ULShut1sbpcvl0rtvdcLN/zsma6TOf69MyMdwqshkMoTDYex2O+FwmA0bNuiQqNPp\nRAhBOBzGYrHoGa9Op1PrHA8ODuq8/9jYGNFolKqqqpzQuTPKp89+lgrPKCOxDHe3N+bECvx+pJTs\n3r0bp9OpBw+cf/75+P1++vv7azmLCQAAIABJREFUaWpqorKyks7OTp27VM4xFArpXu2qqipdfV6I\nivgoBzlZqkeldgpFQKbC5CznN4vSYaoPpGqjcLlcWlou//58B5b/IY3FYnR1dRGPx2lubqbY54MX\n/hH23IG0OEitv5NgRR2e8eIcdZ18AWXlqFWvmcobKtF35ewsFgsjIyMcOXKEwcFBSkpKcDgc1NfX\n4/f7KS0t1b2Yqn9ShbOUg4vFYjQ0NODz+XSuVJ0e1WsWNk0Xvlcm5GM4VVitVq2EowQ4QqEQ5eXl\n9PT0aHm81tZWtm3bpgt5VO49GAyydOlSXnrpJT1AoD5k4eolj1DhGWX/oJ+H9rXS0FBORUUFY2Nj\nejJIdXU1LpeL2tpali1bht/vZ/fu3ZSVlREIBPT1SktLSSaTtLS0UF1dzaFDh7SesmpDU3n+qqoq\nvemdSplHUehUj7UpNRvY+c2idJj5H1zlOFSVaeH9cPSHVDX3Z7NZIqOj+PZ8FrHnTrA4EFvvx13z\nNoAJJ1I1/1LlW/Ir5FQ7B0B/fz9HjhwhEAhMKEZSYst+v1/nbdQJVQlWq2vnOzy19uLi4gk7XOWg\n1VqmKkAwIR/DqcThcLBlyxbq6+vxer0cPHiQP/zhD/h8PpxOJ/v376e/v59zzjmHUCjEqlWr2LNn\nj5a+Gx0d1RN4li5dmivUGevjPeXfp8Q6SttIGTc9ug4cdta21ut0xNKlSxkZGcHtdhMIBPD7/brI\nTgkkKO3k+vrc84aGhujt7QWgpqZGV+OqkVxKdER9p8yEY21ICzfrZgM7v1mUDrOQYzmFwg+pxWJ5\nfWhrcpRs/3NYLA7iG/8fGd9WvHntGJAr3jlw4IAuQ1evpwwg/7HBYJBoNIrVaqW3t1ePHFODnjOZ\nDIlEQjtTtbtVsnXKEaq8SP7ap9qdnu6eMYNBIaXUIhqtra28/PLL9Pf3617IqqoqhBB6Yo5yboOD\ng/T29tLX16erau12O5lMhuzIPopEmL6xer7VdgWBiiRer5empiZ6enoIBoNYrVZSqRRHjhzRrSPK\n3urq6rSouxpckM1mOXDgAF1dXYRCIdatW0dTUxPAhI1r/ndEvh1O9f1yrO+eySTzzAZ2/nJGOMxj\nMdmH1CIE5WXFxJJexIX/S7z7aTpTLWS7uiad8ajCpJPpzebvINV8QJWzVG0v6vSoStNV20h+eDlf\nvBmOrnCdand6vKoiBsNs4XA48Hq9DA4OsmPHDlasWKFvD4VCOoeoNorl5eUcOnSItrY2hBB6ZmxF\nRQUdbXupqakhHi/la6+56RgtJppOc/bZZ9PY2MjY2Jg+VTocDq3QFQgE6O7upqSkhNbWVpxOJ6Oj\nOeWfQCBAIpGgra1NazM3NDRgt9u1DU5lO7NxGjQnyoWFcZiToQp8wtvwXvBLshYfmcAbCY07v8I+\nSK/XS01NzYTTpNo55k8BKexhLByiWygqoL5EJjs9Hku6bjqUE1c53slk/wyG2UAIQVFREb29vboY\n5y//8i8ZGRnhkUceYWBggEwmQ1lZGV6vF7vdTldXFy+//DJLly6lsrKSlpYWspHDXBi8jZcSF3LI\n/xYOxlvJ2kYpKXJSXl5ONptl3759xONxlixZwtDQkC7esVqtpNNpQqEQUko9qisYDOJyuXC5XCxb\ntkwX/BQXF+vITrYgmpTPbJwGzYlyYXHGOMwZj8cRYkKBj+x/nph3o27yVxPV83eEk33o1f1KdL1Q\nazI/ZFu4NhXqyRdWzz9pFoZdj9fRTebMwUwfMcw+TqeTvXv30tLSwvDwMHa7nUOHDrFv3z5ee+01\nIpEIzc3NejRWKBRiw4YNpFIpiouLCQaDHNr5FJe7b8Nr62Ol82n+2L4Sj8eD1WqlubkZKSWvvPIK\nDocDm81Gd3c3DoeDYDCoxRCWLFmC2+3WE0+qq6tJp9O6wKiqqoqlS5fqKSozCbcazjzOGIc5XfWZ\nvk9KvLs/q53l4FnfxOndOG2Tfz6Fjk8V3ORXyc1kbZM528ICHpXXzBdXn6lhF1YRT9Z3asrbDbNB\nKpVibGyMbDZLRUUFBw8eZGhoCKfTSX19PY2NjVrgQ82CtdlsbNq0CSklfsco57puwyu76U5Vc8eO\ntxHLDE0YmJ7JZOju7mbz5s1IKfVIsQMHDuhiHaXa43A4tJa0kuZTNqf6qCORyIQh6sfqUwZjL2cK\nZ4zDnK6VRN+39/OvnyzP/QnOkguP6SQV2WyW3t5eLfCscpz5fVj55DvJyYqOpnK2qoBHFQgBWt5u\nphRWESumqxw2GE4Em83Ghg0bWLVqFb29vRQVFdHV1YWUkqVLlxIIBPRwdtU7OTw8zNlnn826lY2s\nPnIDNroZsS3lj7ZPs2qDE6/XS1VVFa+88goHDx5kbGyM8vJy1qxZA6CrYIeGhnSaIx6P65ylmvKT\nTqeprq4mlUoBE8cAKpsr1GeGyZ3jfLAX47RPPWeMw5yslUTtJlWlaiz0Npz7v0Vq/V24a9/O8Xzs\nVW4znU7rXk6v13tUH5aisKG50MhU/iRf11adCFUO81QahylGMMwGKj+5b98+BgcHKSsr0wPM+/r6\nSKVStLe3a2WuNWvWsH//fuLxOKMJC32u8ylK2zm85F6q0g66u7u1/Nx5551HZWUlQgiGh4eRUtLS\n0kIikWBgYIB0Ok1NTQ1OpxOfz0dZWRltbW20tbVhtVpZtmwZvb299Pf309jYSElJyYTWrHwbPJa2\n8nywl/ngtBc7Z+w2xOPxYLPZyKTTJNt+DoCr+o3E3/wKzqarTuh6JSUlNDQ0TOi7VFWwhYakHKlS\nJSrs61If/lgspp37oUOHCIfDOs9yMlMQjoXFYqGzs1NPXFm3bh3FxcXcfvvtRz12aGiId77znaxZ\ns4azzz6bHTt2ADkJs3PPPZdVq1bxs5/9TD/+He94B0eOHDmu9fT19XHOOeewfv16fve7353cH2c4\nrfT39xOLxRBC0NDQwKpVq7DZbKTTaWKxGFVVVdTX1+NwOCguLuaiP1nGmzdXURYM8nTs7fxP8pPs\n2JML1x44cID+/n66uroYHBzE7XYTi8VwOBzEYjGGhobIZrO4XC7OOussQqHQBDk8dZr1+Xz4fD4A\nPS2okHzFsEKxj0Kbnk17bG9v58ILL2TlypWcddZZfPWrXz3qMbfddpuenDLZuqxWq7bbK664Qj/m\nmmuuYc2aNXzmM5/Rt33uc5+bYJ8z5d3vfjdr1qzhK1/5ynE/d6FyxpwwC7FYLJSHQmSevQHHwf+E\n+L9iOesmvCXlJ33dmQgD5IeGp+qdzA+7KvWgfGWRU83y5cvZtm0bAGNjY9TU1PDOd77zqMfdeuut\nrFu3jgceeIBdu3bx4Q9/mMcff5z77ruPD33oQ1x11VVcdtllXHnllfz85z9n/fr1VFdXH9daHn/8\ncVavXs0999wzK3/bdCgFF8PJ43Q6CQaDlJWVMTY2RnV1te5bVuO2UqkUK1asYGBggMGO7VxQ9BWc\ng0kONn+bYr+f1LhjDQaDtLa2IqXU0Zvh4WGi0Sj19fWUl5fjdrvp7u6mtrYWm82mIz+Dg4MAWsBE\nOWe1cVY5y+lSJYpTXQhks9m47bbb2LBhA6Ojo2zcuJGLL76YlStXAjmH+sgjj1BfXz/lutxut7Zd\nxfbt23G73Wzfvp2LL76Y4eFhYrEYzzzzDJ/97GePa43d3d0899xz7Nu37yT+0pkzNjaG1Wo9La81\nHYvqhJk/FeCYSInlpRtzztLigJLVJ/Xa+SfCY60xv0hH9XlNZpTl5eWUlJRoncr8k+vp5vHHH6el\npYWGhoaj7nvttde46KKLAFixYgVtbW309PToXrZkMql77W6//XY++clPTvk6bW1tXHTRRaxZs4Y3\nvelNHD58mG3btvHJT36SBx98kHXr1mkRbsVNN93EypUrWbNmDR//+MenvA7Ae9/7Xn7yk5/o56ov\nmF//+tds3bqVK664Qn8xffe732XNmjWsXbuWa6+9FsiddK+++mo2b97M5s2beeqppwD4zW9+o3f0\n69evZ3R09ITe58WGw+FAiNwAZ7vdTnt7u/78KylHyEUpnGN9vN3zZbyym9ExPzv251SxYrEY3d3d\nJJNJLBaLbgdpbGxk9erVBINBMpkMfX19bN++nZdffpk9e/YwMDBAW1sbyWQSn8+nbWrNmjWsWrUK\nr9erBRPUBin/lKaq2POr1U8HVVVVbNiwQb9Hra2tdHZ26vs/+tGP8oUvfAEhxHFd1263E4/HyWaz\npNNprFYr//RP/8Q///M/T/mcRCLB+973PlavXs369et58sknAbjkkkvo7Oxk3bp1R0V8fvzjH7Nq\n1SrWrl3LeeedN+11vvOd7/D3f//3+rmXX345v/71r4GcbX7sYx9j7dq1PP300zz33HO88Y1vZO3a\ntZx99tmMjo4yNjbGJz7xCTZv3syaNWv4+te/DuSGVZx33nmsW7eOVatWzVpUalFto8fGxib0R05G\nNpslFo1StPtmLXfH1vthXO7uRJlpDuN4lD0mO63OVan7D37wA9797ndPet/atWu5//772bp1K88+\n+yyHDh2io6OD97znPbznPe/hG9/4Bv/+7//Of/zHf3DttddO+x7dcMMNXHfddVx33XV861vf4h/+\n4R/42c9+xi233MLzzz/P1772tQmPHxgY0CdbJeQ93XWm48UXX2THjh00NTXx6quv8rnPfY4//OEP\nBINBfUL5yEc+wkc/+lHOPfdcDh8+zKWXXsrOnTv50pe+xF133cWWLVsmLfI6U1HFcEo/2el0Ulxc\nTEVFBXa7XY+q81rCnJv4LHZ6SHhW8nj0I7iKyinxSKxWK5WVlVocJF80ZGhoSKv21NXV4ff7dQuY\n3W7H4/EQCoX0yVKpeE21sT2WbOaJvgcnWm/Q1tbGSy+9xDnnnAPAgw8+SE1NDWvXrp32eYlEgk2b\nNmGz2bjpppu48soraW1t1W071157Lfv27SObzWrnPBl33XUXQgheeeUVdu3axSWXXMKePXt46KGH\nuPzyy486xQLccsstPPzww9TU1Gh7nOo60xGNRjnnnHO47bbbdBTihz/8IZs3b9YCFffeey9+v5/n\nnnuOZDLJli1buOSSS7j//vu59NJLufnmm7VfmA0WlcO0Wq0zcliJw/+LdxadJcw8TJPf0pFfyDMT\nYyp87umqhkulUjz00EP867/+66T333TTTXzkIx9h3bp1egdptVrx+/384he/AHJfbP/2b//GAw88\nwPXXX8/Q0BAf+9jHeMMb3jDhWk8//TT3338/ANdee+20p1EAv9+Py+Xi/e9/P5dffjmXX375CV0H\n4Oyzz9ZyaE888QTvete79AlI5b4ee+wxXnvtNf0c1c+6ZcsWbrzxRq655hquuuoqamtrj/l6ZwIq\njNbW1saKFSsoKSkBcpWsarhAe3s7JQduxZ48zIh1CXsrvopvOEMgEGB4eJiqqioCgQDwutNqa2vD\n6XRSVFRETU0NZWVl2O12hoaGtCSe3W7Xp8cTrWidjWKeE3W6kUiEq6++mttvv12LKdx666088sgj\nx3zuoUOHqKmp4cCBA1x00UWsXr2alpaWCTUIb3/72/n617/O5z//eV5++WUuvvhirr/++gnX+f3v\nf88NN9wA5KJHDQ0N7NmzZ1rlsC1btvDe976XP/uzP+Oqq66a9jrTYbVaufrqqwHYvXs3VVVVbN68\nGXhdx/uRRx5h+/btOmo0PDzM3r172bx5M3/9139NOp3myiuvZN26dcd8z2bConKYhcn5yfB4PNDw\nVrKWL2MpXnZCzvJkdoz5LSNTKQHN9Lkzec5s8Ktf/YoNGzZoPdpCiouL+fa3vw3kWgOamppobm6e\n8Jh/+Zd/4eabb+a+++7j3HPP5U//9E+56qqrePjhh09qbTabjWeffZbHH3+cn/zkJ3zta1/jiSee\nmPbx6v1Ws1IVRUVFx3y9bDbLH//4x6NOkDfddBNve9vb+OUvf8mWLVt4+OGHtQzcmYzFYmHlypV4\nvV4aGxt1DlPlJNWEn/DSfyWatPB0/B00eytoKnUQDodxOBy6VzIWi+n/f06nE4vFgtvtprKyUg9L\nAKitrcXtdmv9ZZUqUaP0Jqt8VbcX2vVsRHNOxOmm02muvvpqvQED2L9/PwcPHtSny46ODjZs2MCz\nzz6rR/opampqAGhubuaCCy7gpZdeoqWlRd//4IMPsnFjTpBl//79/OhHP+LSSy/lmmuuOem0z913\n380zzzzDL37xCzZu3MgLL7ww5WPz7RHQc34hdzA4Vt5SSsmdd97JpZdeetR9v/3tb/nFL37Be9/7\nXm688Ub+6q/+6gT+moksqhzmtEgJ2z6NZeCZXCi09aMnfLKcab5yOlSuJBgMHpXDVHnOqfImU1Xe\nniruu+++KcOxAOFwWDuee+65h/POO2/CDnTv3r10dHRwwQUX6ApfIcRRuUiAN77xjfzgBz8A4Pvf\n/z5bt26ddm2RSITh4WEuu+wyvvKVr/Dyyy9Pe53GxkZtwA899BDpdHrS61500UX8+Mc/ZmBgAECH\nZC+55BLuvPNO/TgVktq/fz+rV6/mU5/6FJs3b2bXrl3TrvtMIZvNUlJSwrJly6isrCSRSGhnFB/Y\ni+OlD1NcZEM4SnjN+xEsrjK98bVYLLqwR0VjwuEwmUwGn89HNBolGo1qDWev10soFKK5uVnL6qk8\nZSqVoru7m+7ubp3WKNzsRiIRurq6jp6Fe5IcbwWtlJL3v//9tLa2cuONN+rbV69eTW9vr26Nqa2t\n5cUXXzzKWQ4NDZFMJoFchfJTTz2l8/KQc8aqliAej+tc6NjY2IQNJMDWrVv5/ve/D8CePXs4fPgw\ny5cvn3b9+/fv55xzzuGWW24hFArR3t4+5XUaGxvZtm0b2WyW9vZ2nn322UmvuXz5crq6unjuuecA\n9PzfSy+9lP/8z//Udrxnzx6i0SiHDh2ioqKC66+/ng984AO8+OKL07/pM2RRnTCnZFwblj13wP57\n4IqDYD/xXeNs9lxNtoM9VgjndOYwo9Eojz76qE6mK+6++24APvShD7Fz506uu+46hBCcddZZ3Hvv\nvRMee/PNN/P5z38eyJWiX3nllfzbv/0bt9xyy1Gvd+edd/K+972PL37xi4RCIX1ynYrR0VHe8Y53\nkEgkkFLy5S9/edrrXH/99bzjHe9g7dq1vOUtb5nyVHnWWWdx8803c/7552O1Wlm/fj3f+c53uOOO\nO/jwhz/MmjVryGQynHfeedx9993cfvvtPPnkk1gsFs466yze+ta3zuDdXfyoE8Lo6OiESIrPOoz7\nqcuwJdrAVoRr4+1Eo1H8fr/+wpdSIqUkGo3S3d2NxWLRE0eUfiy8vsFU97vdbkpKSrSDKi0t1Tnu\ndDpNZWXlvO4vfuqpp/je977H6tWrdSjx1ltv5bLLLpvyOc8//zx3330399xzDzt37uSDH/ygnrKi\niuIUd911F9ddd53ue43FYqxevZrLLrtMh8wVf/d3f8ff/u3fsnr1amw2G9/5zndwOp3Trv8Tn/gE\ne/fuRUrJm970JtauXcuKFSsmvc6WLVtoampi5cqVtLa2TplPdTgc/PCHP+SGG24gHo/jdrt57LHH\n+MAHPkBbWxsbNmxASkkoFOJnP/sZv/71r/niF7+I3W7H6/Xy3e9+d6Zv/7QIKeWsXGg+sGnTJvn8\n889PvDHfWR4jZzljvdlZyBuqsKqaUnIqX8sw/xBCvCCl3DTX6zjVbNq0ST722GO0tbXpXksPg/DY\nhVhiB0j7VmO9+EliGace+1VUVKRPEPF4nFAoBOTafVKpFI2NjXg8Hnbt2oXD4cDn8+lcdk9PD0VF\nRRPs6uDBgwwODmK323G73VRVVU2agzN2d+YyU3tc3CfM43CWMEO92UnuOxGmO6VOpfxjjNmwEFG5\nxkQiQYkjguWJiyB2gDH/OsSFjxBJ2clkcoU6Sjt55cqVZDIZBgYGKCsr020f+Xl8pRqU7xxVTkyd\nOCHXTlFaWkpdXR2pVGra06V67qkUBTEsXBa3w8ymYGTXjKthp3Nisy19dbxhVSN7ZVioeL1e/H5/\nTqN16CCeZB8ENmB902NEUnZ6erp0ONbr9bJixQocDgcjIyPE43H6+voIBAK6aEeNpvP7/QSDQe1M\nVYhWzY5VhVkOh4Pq6mpsNpsWM5hs4xmLxejp6QHM2C3D5CxOhykljMXAVgTn/QyGXoLQG4/5tJOZ\nnH6qT4DzQavSYDgRLBYLwRI3/eE4juAWeNOT4G0CRwCXJUNRUZEe5KyKdBRutxuLxaJn0AK6aKdQ\no1lJSCaTSZxOp664zGQyug9UPV9NJMlv6VKDDeD0t24ZFgaLz2FKCS9+FPqegoseBUfJjJzlyXKq\nT4Bmx2tYiGSzWbKRw/Do+bgqryHhvQlv6euFHflOLR6PE4/HsdlsWgWrpqZGnxiVTGT+OK78Qesu\nl2tSCUlVSR2NRqmoqMhpSGcy9Pf3TxgSrarP1XNMRMdQyLx0mEKILwJvB1LAfuB9UsrwsZ857ix3\nfzUXhh16CSouPOn1zOT0aE6AhsXMidpkZXEGHrsAW7wNT9/PsTlv1vcVTgOZasyd+nf+HFiVYwyH\nw/T19WG327WTVC0m6hTq8XgmTAVSPZ1KNGQyPWdjz4bJmK+xhkeBVVLKNcAe4NMzedKNF3S87iy3\n/nRWnCXMrO/yeHutjtVraTDMM07IJu9+124ssYPE3SsZWHsfWF9vSSicBlJoQ/k2osKlPp9Ph2eV\ncLrdbieZTNLd3U1PT8+EHkv1GjabjeLi4gmvk3+SPZXTRwyLh3l5wpRS5ms//RH405k87z0bel93\nljWXz9p6TsVu0xTxGBYSJ2qT9YEUCc9Kulu/h1V46e7u1idK5QiVY8wfSgCv5yRHRka0YyucA1te\nXq7Dp0rQIN9OZ2K7Jt1hmCnz0mEW8NfAD6e6UwjxN8DfjP+ahNSOXORoTgkC/cd8VO6EfyqPmDNd\nx6nGrONoppdLmd8cj02m4LVdsDED2AEruc/8GCAAOf7fsfHHW4BM3uVs48+xAEletxdLwb+t49fJ\njN9uK7jOfPl/b9YxkfmyjhnZ45wJFwghHgMqJ7nrZinlg+OPuRnYBFwlZ7BQIcTz86EZ3KzDrONY\nzKe1KIxNmnWYdUzPnJ0wpZRvnu5+IcR7gcuBN83EMA0Gw8lhbNJgmJ55GZIVQrwF+CRwvpRydgaZ\nGQyGE8bYpMEwf6tkvwb4gEeFENuEEHfP8HnfOIVrOh7MOiZi1nE082ktM8HY5Oxg1jGRBbWORSW+\nbjAYDAbDqWK+njANBoPBYJhXGIdpMBgMBsMMWHQOUwjxRSHELiHEdiHEA0KIkmM/65Ss411CiFeF\nEFkhxGkvmxZCvEUIsVsIsU8IcdPpfv3xNXxLCNErhNgxF6+ft446IcSTQojXxv+ffGSO1uESQjwr\nhHh5fB3/PBfrOJ0Ye9SvP+f2OL4OY5MT13FcNrnoHCYnKOF1CtgBXAX89nS/sBDCCtwFvBVYCbxb\nCLFy+medEr4DvGUOXreQDPAxKeVK4E+AD8/R+5EELpJSrgXWAW8RQvzJHKzjdGLscf7YIxibLOS4\nbHLROUwp5SNSSqXw8Uegdo7WsVNKuXsuXhs4G9gnpTwgpUwBPwDecboXIaX8LTB4ul93knV0SSlf\nHP/3KLATqJmDdUgpZWT8V/v4z6KuujP2CMwTewRjk5Os47hsctE5zAL+GvjVXC9iDqgB2vN+72AO\nPozzESFEI7AeeGaOXt8qhNgG9AKPSinnZB1zhLHHHMYe81hINjkvhQuOxXFIeGWA78/lOgzzByGE\nF/gp8I9SypG5WIOUcgxYN57Le0AIsUpKOaf5pJPF2KPhRFloNrkgHeZ8kfA61jrmkE6gLu/32vHb\nzliEEHZyhvl9KeX9c70eKWVYCPEkuXzSgnaYxh6PibHHSViINrnoQrJ5El5XnMESXs8BS4UQTUI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KOgN73gzhI2M8yXJEQ2JwwHGkZ8tsxwLTsoRZm0Wq3KKDqdTpPNZltGm1rjrdfrBAIBUqkU\nW7dule9jsViIRqMUCgWWlpYwGo0sLCwwPDzMk08+yalTp6jX61x22WXn9oVoe5aBb0H/68/tOJvY\nRBNaVU5eiNV02vNYT4bb0dEhWyIWi4Xl5WVCoRCZTEYet1AokEqlyGaz6HQ6+Rg0HOe6P29zzzL5\nNHTdeG4f/AJj02G+BCEMpq2tTUa6azGi5gt/tZuBTqcjGAxSKBQYHBzEYDBQLpdZXl6WEakwrOXl\nZZaXl7FareRyOZ588klMJhMA27Ztk+/X2dkpnWokEiEej1OtVllcXGRmZgaPx8P09DRdXV3rM85m\ngs9V/3AuX+kmNtESzXZ1Pm0N8bjFYqFYLJ7WvtCScJqPLc5DZHuCWZ7NZuVxztQW0ev1mEwm6ShF\nWTYSiRAMBgFQFIV8Pk84HMZut9PV1bX+TLoVwecScZaw6TA3HNZikNrMrVgsnvaY1ohaHVu8rtlI\nBQTxplqtAg1nFw6HSaVS5HI5ybJbWFhgZGQEh8MhjxcKhUin07hcLnw+HyaTSb6fx+NZUbJ1Op20\ntbWxZ88e+vr6OHTo0PqMMz2+yYbdxJpwrr355qpMq8C0+dirBa/ZbJZQKITVaqVQKODz+eSYhyDh\nwPOBrfa4WsLRaszyVu87NzfHU089RTqdxufz4fV6cbvdDAwMkM1mmZmZoVqt0tXVhdlsZn5+nmq1\nit1uXxEcrxnP/NklwYZdDZt3hw2G9WSK6XSaUCiE3++XzkcoczS/XkSa1WoVnU5HLpfD5/PhdDql\nk9U60nq9Trlclq8XJR1xrGw2y+zsLEtLS3R3d6OqKoqiYDQaSafTTE1NsX37dhn5ZjIZCoUCy8vL\nWCwWbDYbkUiERCKBXq9ncHBQZqZrhmO4QfCpFTad5SbOCK1draV9IdBclWnV1hD9+3Q6LR9vnjnW\nol6vk8vlsFqt8v0FQQdY0TvUBrTCiYpjNJ+L1o4FHA4H8XiceDxOLBajs7OTbdu2US6XKRaLJJNJ\nDAaDrBKlUikURSEWi6HT6TAYDOur+AzeCTOfh8N/fck5S3gJOswXC6X7XLGWPqO2h9mMVkYDjeg2\nlUrJZn44HMbn861wssJI29raaG9vl+VZERn7/X50Op0sBw8ODqLT6TCbzRw/fpyenh5uuOEG/H4/\ndrudQCAgSQdLS0u4XC7C4TA6nY6Ojg5UVSUYDLJlyxZyuRyhUGht/ZLoI2DtAvsWuPIzDdm7TWe5\n4XC2MuV6oLWr82G5tro+xUxjKpWS5czu7m4ZpHZ0dAANG/T5fACUSqUVrQ1AknJEYOt0OlcEtOKe\nJ5jlkUiELVu2yO9FBLuCaS5aJi6Xi1KphF6vp16vk06nJSGoVqsRiUQwGo1s2bKFzs5OjEYjLpcL\nh8OxtoqPqjbIdv2vbwSxrx5pkHwuQVyydwlFUfqBzwN+QAU+parqX5/vcV8slO5zhbYcs1ppVdvD\n7O7uXnFRNxsNnH7jAbDb7QArnKu2tyIiWvF6cYzOzk4A+RyPx8PJkyeZnp4mGAwSj8fxeDzMzs6u\nYNqWy2W6urooFovMzs7i8/no7e0llUphtVrp6elpeXM4DaJnae6Am3/WcJzKxgucLgYulk1eLLQq\nU54rtK9fS1CqRXOQ3vxvnU5HZ2envHZFdrm8vMz09LScfVxeXqanp4fOzs4VpdhkMkk+n6ezs1My\ny0VmJwJW7T3PZrMRDAYJBoPSdmBlsFytVpmZmUFVVTweD2azmZmZGSYnJ6nVanR0dFAoFLBarfI+\n0tPTw9zcHHq9HqvVKkUOzghtz3LHH8Dhv7pknSVcwg4TqAJ/pKrqCUVRHMDjiqJ8V1XVkbO98ExN\n89Uk1l7orPNCn4O2yS96htryjfgpDFg4Ga0YgHZIWQwoi5uGeJ1WSECgWq0Sj8elXJ3IOMvlsqSj\np9NpqtUqwWCQsbExCoUCxWKRXC5HT08PHo+HfD5PIpFAp9NRq9WwWCzMz88TjUZRFIXt27czMDCA\n3++Xsl2rlZSBlQSf3lc3nOYm1oNztskXAtoy5YUc4Viv820O0lsF7aJ8qf0pgkrxExqsVW1QLGxU\n2FZHRwcul6ulvWuDSZ/PRy6XW9HbjEajVKtV8vk8kUiEpaUlCoUCBoOBQCBAsVgkHo/z6KOPEgwG\nqVarbN26lcsuu4xDhw6RSqUYHBzEYrGsyFxXRTPBp+uX1v5HeIFwyTpMVVWDQPC5/88oivIs0Auc\n1ThXyyLPJLF2sbLOtTrCC30Owjiq1SqxWEz2KWFtg9QiMtey3LSfQUsqEGQeh8Mh+yuhUIjBwUFc\nLteK3mUqlWJycpJCocD8/Dxf/epXyWazWK1WDh8+TKlUks8vl8uk02mi0Sjt7e3827/9G/Pz89Tr\ndaxWK9FolKuvvprBwUGZEa8a/W/K3Z03zscmXwjodDp5zZ8P1hPMtnpucxC62jXa3A5xOp0MDw/L\nY4kMspkcJJysEBBovn9oOQvBYBC73Y7NZqOzs1PacTgcXhFk6/V6urq6SCQSfOMb3+DJJ5+ko6OD\nrq4uyYQtl8v4/X5UVZVBtdfrXX9meYkSfFrhRXHHUBRlEDgIPNLid28D3gYwMDAArF4yWe/jFwJr\ndYTacziTgVarVaLRqJSiWg3a0qrIIFfr46z2+bWZZ6vyrMhItf1O4RRNJhPlcplAIEC1WqVUKsme\nZTKZZHJykq985SuMjIxgMBjYsWMHqqpitVopl8vkcjmCwSDRaJTZ2VlZGSgWi1x++eWy72Oz2fB4\nPCui7dO+Z1WFx9+16SwvINZrk3BpVHLOBesh/Gj79VpnLUqlInNsheZ2iFaztZl3IILDdDpNJpOR\nijytbFicL0ChUJBMdavVKp8nxr4SiQSxWAxFUVBVlUQiQT6fp1wuk0qlZAZrNpsB0Ov1xONxcrkc\nlUpF8hTOivjjMPGJF5WzhBeBw1QUpQ34OvAHqqqmm3+vquqngE8B7N+/Xz2T2O96H78QaOWMznbj\nOJOTjUajLC0tAY3tAc3HE683mUzodDo8Hg86nU6WWs72+YVBilJW83lo+0J2u51MJoPD4ZARbDQa\nJZVK0d7eztLSEuPj4xSLRfx+P+VyGYvFwsMPP8wXvvAFFhYWAOjp6cHr9VKr1ZiYmJDMPEEkEudQ\nKBTo7OxEr9fT2dkpNS4FkWjVv6OiwLF/hdGPw/4/33SW54n12OSRI0dU8filyB9YzxhWM+FHODM4\nM6lI21c8E2loNQZtKBQil8thNpvlmBU8b7fCAbbiLjTPX/b19RGLxfB6vZJQJ45lMBhQFIVQKEQg\nEGBpaYlqtSodpcFgoF6vU6vVaGtrY/fu3RiNxhXvu2ZVH++RRuBqbH/ROEu4xB2moihGGob5JVVV\nv3G254vSwKVijNDaGbcymGZDbO4jCgjGnPjZ/FpAOg8RrYpe4lqEybURsrgJWCwWaXT1eh2z2SzJ\nCqOjo3R2dtLb20uhUCCfz1Mqlejq6iISieD1eslmszgcDhYWFkilUnz5y1+WzhIacneKojA1NcXS\n0pIsuQaDQSqVChaLBb1ej8FgwOl0YrfbsdvtDA0NrRB3blmGnf5HuOJ+sHbDwb846+ffxJmxXpvU\n4mJWcrRYTya7XsEObdm0mVQkPpewHYHmlsZqTPRWsFgs2O12vF7vaRlotVqVzFktq1WbcYrAWXwn\nIsNsb29fIfIheAdCitJms2G1WhkdHaVQKEgR9lQqRalUwu/34/F4GBgYoFQqSTlMMdfdEqoKT94L\nnccaS58H7zzr57/UcMk6TEVRFOCzwLOqqv7ftbymVUniUkGrIWLtuTYb1WpZk1ixo0Wr4wnGarVa\nZXZ2FqvVKmctW50TIEsvwtGJ54TDYTKZDLlcTpaFtL2PbDZLqVQCGlmgyWTi6aefplgsMjY2Jp3e\n2NgYi4uL5HI5eQ56vR673U40GsXn85HJZORQtaqqGI1Guru7ZQba3d2Nx+Nhx44d7N27Vzr1MxJ8\n3Adg+9vP7Q+3CYlzsUktflGScOvJZNfrxLVOy2KxyLKmcKCtOBLNFRxhTzabbUXZtrmcK4g49Xp9\nxTyjyWRieXmZcrnM/Pw8Q0NDOJ1OKQ4iHFg8Hl8xkqLT6ejt7cVut0vykMPhACAWizE2NiYzS7PZ\nTKVSoVarodfrKRaLRCIR+Z26XC6MRiPj4+P09vbS3d1Nb2+vZMGfBm3PcuLv4VdmwexZ03d+KeGS\ndZjANcBdwElFUZ587rH3qqr6n6u9QDiai4EzyVKtBc1GvFpjXmA9pVwR3YpSrGCgOp1OSahpNROl\n3WEn+iGCKVcsFles8LHb7VSrVRYWFkgmkwwNDcmM3m63U6lUyGQymM1mUqkU6XQaRVFIJBIkk0kG\nBgaoVCpMTU2tOHeHw8HS0hJ6vZ5CoSCFnm02G2azGavVKm8YglSUzWZJJBKk0+nW20maCT7Db1vz\n32kTZ8S6bfIXgWa7WI8TXK8Tby7P5nI5WRIVTshkMp022qTtQQoRjubPIEh6gm+gLeUKSUi/3088\nHmdpaUmSd8Rry+UyBoMBv99PJBIhnU7j8XgolUpyhtrpdK4gD0GjInXy5EmWlpZQFIXu7m7m5ubk\nMWq1GqFQSNq82+2ms7NT2qDFYqG7uxuXy9X6nthM8Lnmyy9KZwmXsMNUVfUngPKLft/VnJJweNo6\n/bka2lpKRsKQxX65jo6OFVJWWvIBIIeVS6USi4uL1Ot1XC4X27dvl/vqmt/LZDIRj8clE9ZgMMiB\nY7EE1mq1YrFYiMViLC8vMzo6Ko1TURQmJiao1Wq4XC6q1SoWi4Wenh4URWFsbIxkMikNPJfLkUwm\nqdcb+ysrlQqKokhDz2azxONxqVkpiENilZDdbsdoNOLz+di3bx8dHR2nl7U22bAXDS+UTZ4NzcHo\nxcxkm+cxHQ4HmUyG5eVl+ZxoNCp7+4Ix2jz7LM5V+xmE/aZSqRVBtQhmc7kc9XpdZo0ej0eWUaFh\nz/V6nfn5eek4ARKJBMVika6urhWzm6LNMjY2xo9//GNmZmYk72F8fJyZmRnsdjuFQgFFUeSYTr1e\nZ3Z2Vi5TyGazzM/PYzKZViHcvfjYsKth807ShLM15EWGedYB+SZoDa1Zku5M0JJ8tALk2Wx2BXuu\nWCxSqVTkrOTS0pIceu7q6pLPh0b/M5lMUi6XicVipNNpnE4nHo+HaDSKzWajWCxKsgHA4uIiCwsL\nUibLZrNJ5Q+r1SrZdYODgxiNRqanpxkfH5cO8sc//rE8jii3ihEU4agzmQy1Wo1G5a9R3hX9UIfD\nQS6XY2ZmRvY0Rc90xXdYSUG9vOksX8RYL5v2TD3/8zmuwGrMdJ1OJ9sjosSqXaIszqWzs7Pl7HNz\nVpzNZjGbzRQKBXlvaQVtW6azs3OFXc/MzBAMBnE4HAwNDZFKpUgmk7jdbqrVKlNTU3R3dxOPx4GG\nPY6Ojsp7TCqVIhgMMj4+TiQSwWq1yupOf38/AwMDqGqDx6WqqizH+v3+1uer1qEU3RDOEl5CDrOV\nsaw2M6X9KaB1eGfSXF3re6/19yKadLlcLC8vn3ZTEFFirVajXq+zsLBArVZDp9PR3t6Oy+WiXq8z\nPT3N0tIS2WyW4eFhisWi7Avm83lGRkbw+Xwkk0lisRi9vb2USiUKhQJ6vZ65uTmSyaT8dzqdJpVK\nSW1Xk8lEMplEVVXGxsZ44oknCAQCsu8pdlVWKhVp4ACVSgVoBAaVSgVVValWq5hMJrxeLyaTCbfb\nzfz8vNSpFOok4vsAoBRvlHl6boWbfwqu/ZvO8kUKbatgLQuIW/X8W9nUasHw2Ua1otEoCwsL5HI5\nLrvsstPaIUL1xmazySxvaGhIllhFK0cQfbQZpzgXrWMVgbDoX4rPotWOXe2ze71eQqEQfX192Gw2\nWaGxWCw8/vjjxGIxBgYGsFgsqKrKM888w/j4ONCY+1RVldnZWXkPURQFRVGw2+1ks1kURZEC7NVq\nVS5JaO7boqpQSYLJDS/7POx6N3gOr+MquDSxIe8oazWW1RQ31lLOaRXVamcUte/R/Lgo5awmkqz9\nDBaLhba2NuLxONPT09hsNtrb26lWqxQKBcxmMwaDAbfbTTabJZPJkM/nMZvNeDweXC4X8/PzpNNp\nTCYTdrtdGpfRaMTv9xOLxdDr9QSDQZaWlohGo0xNTWGz2di6davMRKvVKmazmVqtJnuT6XSa+fl5\n6fh0Oh3hcJilpSVZSgLI5XKSONQM8VqBWq2GyWRi+/bt2Gw2QqEQMzMztLW1cd1113HbbbfJvqpO\np2uUYX/4KjhyH1x214YwzJcyhNM40yhUq9dof7ay7dWC4VajWuVymbm5ObxeLx6Ph1wuh9FolOQZ\nbaYYCARIJBJypZUQTLDZbESjUam9PD09LZ2MVk5SW6nSLkHQBsblcnmFqEczibD5XiScsrAt0VJZ\nXl7G4XCQzWax2+0Eg0EWFhakgxZ7ZxVFkcsMhDZse3u7ZOUaDAZGRkbkwugV5VhRhg3+P7jpB2Dr\n3TA2uSEd5lqN5Xxo7uJC1iriaEkygn1Wr9elCLJgt1ksFur1OvF4XDJOtYo6gh6eSCQolUpYrVb8\nfj+Dg4NAo3cRCARwuVwYDAYymQyjo6Pk83n0ej1GoxG73Y6iKGSzWQYGBujo6MBkMkmVnXK5zMTE\nhBQ17+/vp1Ao4PF4cDqdRKNRdLqGSLPVakVRFPR6PXv27GFychJoMFzFTkrR1xS0cmHYpVKJSqVC\npVIhlUrJrSRngqIotLe3y/16wujtdjuHDx+W+rfFYhFb/in44SsbPcvgf8HgbzbmLjfxokWzqs1a\nX3M20txqwbBYkiw0VIvFIsFgkFOnTtHR0cHw8DBbtmyRDNlmmTuxK1IIaIjzzufzslQr/hMBo8vl\nOq1S1SyKIBi3NltjM0+5XCYej0u1nXg8TigUor+/X/ZAC4WCdJoWi4VEIoHNZqNarVKv1zGZTMzN\nzbG8vEx7e7ucLBBi7MlkUhIGxVhKd3c3l112mWy9+P1+hoaGGBgYYNu2bQwODj7/PTf3LFMjDYe5\nQbAhHeZajKV5pJrxVvYAACAASURBVGI9/Ujx+mZWm2iKi0wPkD1FnU4n+4oDAwOnzUgJQxT/Xl5e\nliMbbW1tUhwgFAoRDocJhUJyFlEQDyqVCqVSiVKphKIoUpRZRM0iOna73bhcLkZHRyVlXFDU4XnR\nglQqxdTUlOwZptNpHnvsMSYnJ6Xyh/jexM1mZGQEs9mM3W6XIypitkv0Ptby9/N6veh0Otnj3L17\nN0NDQ+zYsUMOWbcVTj7vLLf8Olz1uU1nuUFwvsQdLXP8bHYt5nvFLGEul8PtdrNnzx7MZvMKyTnh\njLT3GIvFgsFgkMxyQcLRQvQ3jUbjivE3MeMs7iNaFS3xU6fT0d/fDzQcbTablS2QUqm0YhRMkOM6\nOjoYHR1ldHQUs9nMjh075IICkfWWy2Wy2SyxWIxMJiPLr4DMlhVFoa2tDbPZTFtbGyaTSfIVhoaG\n2Lt37/NtkVYEn+5XnPPf8FLEhnOYa23sa7PQer2+ZhKOgHCKgvItnJFWz1SwPLVGJpxnJpMhHA7T\n2dlJJpORM04+nw+Hw4HVaqWjowOz2SwjXqfTSSaTkWVXaDg1u90uo1+j0SglqgqFAqFQiMnJSQwG\nA3q9HkBqRArHKnoZojQzMzMj5ymLxSIdHR20tbVJA8tms1KIWWSeHo+H5eVlQqGQ7GmKTFYYlPh7\niKCgFYRTdTgcuFwuyuWyjHD37duH1+ulWq2SCT5F249vQdlkw25Cg+YMb73zmNVqlVwuh8lkYtu2\nbacF1s2OXJsNC1UcMcIlpPAsFgvxeFyS1A4dOiRtQSwcyOVy8v4jXru4uCj79fl8YxGBKP06HA6M\nRqOUkpyYmCAajVIqlRgaGpLEPKvVitVqZWJigng8TrFYZHFxkVAohMlkolKpEI1GWVxclAsO7HY7\nbreb/v5+GbC3t7dTKpUk414EwWLjCUDb3H0bhg27GjbUHUY4rrU4P20El0wmVwzri2O1crziPZLJ\nJLlcTi4urlarsle4fft2oEHnFiVb0dsYGhrCZrMRDofl+wuHrdfrJeEmk8lQrVZpa2tDVVWi0Siq\nqkq2qBia1ul0PPvss4yMjGAymejv78dkMhEOh1lcXKSjo0Ne0NlslqWlJebn58nlcszPz9Pf34/H\n05iJEllqLBYjmUxit9tpb2+nVqsRDAYlGaNWq2G1WuUoSTKZZH5+nmQyKcuvwKoBi6qqZ8w2c7kc\n4+PjhEIhisUibrebAwcOYLVaKZVKjeBCtbJl4C5Mtfims9yERLNilvZnK6EOrVCIyCDPJoDSfG8Q\nr20mHY2OjlIqlWTGt7S0JCtEfX198tx8Pp/kK5TLZarVKidOnGBiYkK2cur1OouLi1SrVbq7u7Hb\n7VJxJ5lMSm3XcDiM0+mUDtDlcsl5Za/Xy+zsLMFgkOnpaZLJJEajkUgkQj6fl3YtxES8Xu8KzoII\nco8dOyaD4v7+fsrlcuP7uuxumP0SHPjLDeksYYM5zLXQyYHT9B+FQkc+n5fO40wiyqFQiEwms0Io\noV6vMzIyQjKZxGazMTw8jMVikdHq1NQU1WoVv99POBzGZDLJSDSfz+Pz+WQE+fTTT0tquvhcLpcL\nVVVZXl6W/UVB7qlUKiQSCanyATA5OSkv6K6uLiqVCktLS0xNTUmVkEQiIc9xYWGBpaUlLBYLu3bt\nwmg0SuFl8RmE7FY2m5XsWjGArSUnne/f0Gw2YzQaZXmoVCphNpvp6emhyziL3uKj3jaMYet9jalA\nnf683nMTL26spqKldV7N5DpYqZOsPUbzfGQzY3e1e4P2dcvLy8RiMUm+MxgMdHR0EAgEVjBfxZia\nIN2IWctcLofX65WSk6qqsnXrVhk0A5jNZkKhEHNzc+h0OoLBIG63m8cee4yTJ09SLpexWq3yc9Vq\nNQKBAFNTUyQSCZaXl9HpdJIR29bWhsFgoFQqYTAY8Pl8mM1mgsEghUJBZrWxWIyjR482WiN6Pabo\nv8HAG8DWB698akMHrxvqk4nZPqGAIaC96E0mE6Ojo7LkIAaEReNfDBfX642tG/V6XfYfxIXu8/lw\nu90y6hLZZnd3t4zOisUixWKRgYEBIpEI09PT2O12crkcgUAAr9crt6ovLy/Lvl+xWJTrspxOJxMT\nE6TTaY4cOUKxWOSJJ56Q+yDtdjuRSIRCoUAsFiORSMheSjQaRa/Xk0gkCAaDzM7OUigU5OtF1Gux\nWDhx4gThcJhcLicl9KanpymXy/J7ikQijI6Oyj6MIPGIwMFkMklnfT4wmUySyDQwMMDw8DD79u1j\n586ddBtnsT3yP1CMDrj5YdCf/+qmTbz40Vx6be5dakUDtOQ6ODOrtlqtyrGtVCqFzWY7Y9VKSwQ0\nGo3UajW5B1bsuOzv75cKXIKHILJaEbxarVap1zw7Oyu5CaK8arVapYiHsH2r1SqrZYVCQWaYQv2r\nXq/j8Xgol8vodDpZChYtGWi0QQQTVvu9+f1+gsEgxWKR9vZ2uU6vXqthGflTTNP3Q+gHcOWnN7Sz\nhA3mMKvVKtPT08DzdO1CocCWLVvkQLEodWrLLsIhplIpotEoXV1dmEwmgsEg6XRaSkoJ51gqlahW\nq3KwV/QkC4UCOp2OkZERrFYrtVptRa9BrKeKRCIYjUa5OeCxxx6T7DZRAhHOTswfms1mvF6vdNpi\npESo6USjUWkYghgQj8eZnJykWCwyMjIiP3+5XKZQKEgpuvn5earVqjTe0dFR6ZShEcnGYjFyuZws\npwqdWkCq9Yh+poC4aTRDp9OdNkoiIDJVVVUxGAwcPnyYnTt30lY8ie3EGxs9y95XN8TUN/Gix7mK\nCWix2kiJli0qyona99FmhIJ8I3aw2mw25ubmiMfj0n5FQF0ul+VrWn2eXC6Hx+Ohv79/RRUJkMQb\nLblHey8SjtNgMDA+Pk65XMbj8chyrsFgoKenh1KphNPpJJFIoNfr5bls2bKF+fl59uzZw/T0NPF4\nXMpRimBUO7IiMkxo2LnT6ZRO+Oc//zm5XI79+/fLPqpg93Z4vdQf/4OGs9SZoO9Xzulv92LDhnKY\nYgzBYrEQiUR4/PHHZdlw9+7dxONxeRELqThBcgkEAvLiFhleuVyWvYdIJILJZCKXyxGJRLBYLJRK\nJTKZDD6fD0BKXqmqSjablVvJBUVbqNNEIhHJMG1ra5NbOUqlEqqqcuDAAdLptHR2ZrOZfD4vI0FF\nUXA6ndRqNUmqESUdq9WKqqpMTU1JB14oFAgEAlQqFaxWq8wQl5eXmZubQ6/XS0WPbDYrHaJg4NVq\nNdLpNOl0es1MV0CeVzNa9TC1c1+qqtLf38+2bdvo6uriMscynafeiFLLbhJ8NgiEo2w1g7yW1zX3\nIVuNlGhHQJqFDcTvtWpZQuJOEHmMRqP8z+FwoNPpCIVCRCIROTrWvGJPzI729fXh8XhWKPlozw1Y\nsRFIvF7wDywWC0NDQ9jtdvL5PAaDgXK5TE9Pj6xuTU5OynVcTz/9tBQs6Ozs5JFHHiGfzzM/Py/v\nIYVCgVqtRiaTQa/XyzKtNvAVI2mlUkl+Z+FwGK/Xy+7duxkeHqbNbsfw9B+DcJbXfb2xfeQlgA11\n19FGqm63m56eHhKJBKqq8thjj0nx7q6uLqmKk8vliMVihEIhrFarNIDFxUWSyaTMNEVNXzA/d+3a\nxcLCAvPz88zOzsoxErHOymg0SsKNdmYqHo+zuLgoMykxv1Uul0kmkwQCAWZmZuTFPDg4KBe0CmF0\nVVVxOp3SyfX19TExMUEoFJIRZyKRAJAXvHDKNpttRRmmXq/L7HB2dlY+Lowon88zOzsLcNb5yfOB\nKKcLUtHu3bvZtWsXu3buxDd+N7pNZ7mhcKYy6VpeJ9BcRm3Fam1VgoUGT0HIRwrmqWibiMyvra2N\n+fl56ZRFFQiQmasIukXlRpBsPB7PimxOOEetNCZAMpkkFArJ/ZTCse3cuROXy0UymWRxcZFYLCaZ\ns4qiYDAYsNvtWCwWotEoTz/9NJFIRGaepVIJh8OBXq+XCwvK5bKs3oj2kdvtlqIIZrMZn89HOBxm\nbm5Ozpl2dXUxPDzMnj17aKtOw8RLz1nCBnOY2WyWQCBAV1cXCwsLDAwM4PP5iMViBAIBYrGYZHiN\njo4yPz9PuVyW80tCfUfIy+XzeZaXl0kmk+zYsQOn00koFKJSqTA3N0c2m+XUqVNAo8lvMpnYsmUL\ner2enp4erFarvNiF4w4Gg8zPz2OxWKjVaiSTSRnVivKJKAOLLSOlUknqPdrtdq6++moymQw//OEP\nqVQq2O12FhYWZFlWEGbMZrPsTQqHLgxGKP1Uq1WZQWpxMZ3jaqhUKjKa379/Pzt27CCRTNJx5Is4\nFj8Lez+w6Sw3AISTEfyBM0lVNkM7vyieK4K+eDwuH4fTtwI1Z7DiPDo6OmSpEVYG3vF4XGbCYv5X\n9CNF5pfNZllcXCSTydDZ2SkDgHA4LIl8grOg0+nk+Em9XsftdvPjH/+YSCSC3W7H6XTKucpEIsHO\nnTtl1jc2Nsb09DQ6nU7yKKrVKkNDQ3g8HoaGhjAajeh0OikSIqpQlUpFVo0EdDoder1eBi2qqhKJ\nRNi5cyf5fF6OmUGjenbo0CEcDgeKcgCu/RdQ9C8pZwkbzGEqiiLX2QSDQZ5++mm8Xi8Wi4VQKCSX\npIqN4mKmKZ/P09vbK7MsEc2JOcRCoUAikWBgYEAKGquqylNPPUUkEpEiBOl0GqvVSiaTIR6PY7fb\nqdVq5HI5RkdHsdlsdHV14XK5ZBM9FovJfZKCUh6PxyVTbWlpSQ5EC4r67OyszBrFep1CoSD7ptVq\nFaPRuKK0LCAMoFarrRA6vxQgyFcve9nLeN21XewqfJSg789RTR7Y/2cv9Olt4hzRLAoiWOnN+qNr\nmZsUmZqYBxblTNHm6Orqkg6rmYna7Ih1Op3kJ2hnhLWkIdGrF3aunbEWFR+PxyO1l/V6vSzfioxT\nODwxGiK4AzMzMxgMBgKBAOl0Wi5o9vl8TExMMDU1RSwWk6Xfw4cPSylMVVUJh8NEo1Gmp6cpFos4\nHA4SiYRU/BFz00Llx+VykUqlpBqX1Wqlvb2dSqUiK0pms5lIJIKqqlJYZcuWLdz48pfjC/wfyF8B\ng3e8ZHqWzdhQDtNoNDI7OytX3pRKJZLJpMzSarUa4XCYsbExisVig0zS1kahUGB+fl5mYZFIRK7r\nGRgYIJvN8sQTT0i9xGg0SiqVko5KO3cYDAbJ5XLSeNra2nj88ccpFov09PRIZQ1BOxcUcVVVZV8h\nm80yOjqKTqdbEREKttrc3Jws55bLZWnc4sLXOkjtd9Oqn2gwGFoSc0T2qYUYdG6GmB9rhgg4mqEo\nSsv3bG9v5/rrr+c3bhniSPZ9GNQ8ivcIbW3vP+25m3hxoFlKDlZmiVpnuh6pyuZMU8wld3R0yGux\neSWflgQkHKhgqjfL3QnSkFDvEvcGkSXm83nC4TBGo1EuChCPCacu1K1mZmbo7e0lEonI/qeiKLKy\npCgKu3btWrGD0mw2Y7PZmJ+fZ25ujvb2dqnSI36KbUHZbFb+Ox6P4/F48Hg8LCwsSJKf2+2W37+Q\nz/T7/dKJLi8vU6lUyOVykhnb19eHz+fj5ptfwbW2r6OMfQpVbwX/jWD1X6hL5EWFDeUwy+Uy3//+\n98nn8/T09GC32wmFQnR2dkoDePDBB0kmk/j9fiYnJ/H5fNLBzczMyAvw1KlT5HI5BgYGUBQFh8NB\nOBxmcnKSRx55hEwmw7Zt29i/fz+Tk5Ooqir7hYVCQUrKidKMIBXMzs6umMOqVCpSlstgMMgLv1Ao\nSKUQMdKysLAgs1BhaMIJChHk9TINVxMRqNfrpz3e6jFAlnVb/T1aPS7etxkWi4XfuGWIG5W/RF/P\nk+t4DbYDf3LeLMpNvHDQCpFrH2u18aeVHF5zmbbVvKQYkxDlzGbhAu2sY6udtlpHKkbPRDYIDZm4\nTCZzGonIarVKARAxAxkKhRgYGAAa2VoikSAej/OTn/xEjrF1dHSQyWRwuVxMTk5K0pPdbpcC6IKr\nMDY2xokTJ6Rj1uv16HQ6KSxQLpcJh8OyTCwY6BMTEySTSXkeYv+sUPASm4BqtZrMJkXmn8lkaGtr\nY//+/ezfv4+3HhrBOv850JlQrv3qS9ZZwgZzmEIFJpVKyXp+rVaTBJyHHnqIcrksV9UsLS2RSqUw\nGAxSR1EwTWOxGJFIRIqPd3Z24na7icVijI2NydKHMDJRFhEjFiIT2759u2TaxWIxGbUKZylYdeK1\ngCTziOxSsFqbsZq83IsRFouFu1657TlnmSNiu4nK7r/BWa6uWd5sE5cmVnOCYhTiTBllc5m2WTSg\nXq/LSohYnSX+X+toxTJ2IU4i1Wl4vgwrSHwDAwOEw2FGR0fxeDx0dnYCSNa54DpAg+SXyWTkXlnR\nahHaz4ODg3IZuhAjmJ+fR6fTsW/fPjweD48++iiZTEYKdKRSKRYWFmQbRshMms1m9Hq9FB0RDjqV\nSuHxeOQYWzKZlM4SGtwAMS8tOAJi96boawrNWDEW1gjU9by2/zjty99+SRJ8WmFDOUwxmtHX18fi\n4iKlUolEIoHRaJRlVKPRiKqqkrkq9jUaDAZisZi8+KxWKx6PB7PZTL1eJxwO85Of/ERuRM9kMoyN\njck1QKJ/KTYECOZpLBbDYrGgKIpciLzaDKKAUM8RaCXmvJHgdru58sorufXmG9HljlPvfwO1rR+l\ns7NL3gDXyqLcxKWPc9F4FT3JdDq9YpQrn89LHWYhkL7avlqRZZbL5dNGS7LZrOQvuN1uGcAGg0E5\nXrZ9+3ZZ4ZmdnZU9QKGkJTgUOp1O6rqOj4/LVVo9PT0888wzPPHEExgMBg4cOCDPfWRkBL1eL5W7\nhKRdW1sbbrdbEvU6OzuZmZkhkUhITel0Ok0ymUSn07Ws3IgFC4qi0Nvbi8vlkjOaXq9X9jvFcx0O\nB9u3b+eWm2+mt/u7qEsmlE1nCWwwh1ksFllYWJBiBc8884zMKAOBgCTSTE5OSqclDMDr9aKqqpRl\nE45NVVXZzxMlGlFqTCaTPPXUU7I0KoQShPCAKK02O0DBkG2GKJs0w2q1ntYLdDgcpx1XPK6V/9I+\nLvowWggNzGaILLz5ua32WbZ6LiBLW60gPr/FYuFXbn0Zd7zpXRy44QaU/K0ozp10adiwm5nlxsJ6\nepXaMm02myWXy62QpBQ9xubjtXoP7RJn7dzk7OwsRqMRn8+Hz+ejXq9TqVTw+XyUSiVisRjt7e1S\n9EToQwsiT3t7OydPnpSVqv7+fqnwJRi03d3dzM7O8uijj/Lss8/KPqjT6ZQqZLVaTRL8xJajcDgs\niYFCXQuQwbeQtYPWvANAlnGhESCI3bbieIqikEql5H3L5+tg/84ebr7lVqzuX4fkH4B7/zr+whsX\nG8phVqtVqc4hVtbk83mefPJJqYsqSC56vR5VValWq1I8XbBGo9HoiiF9UaoQmo7ai7Jer69Qt1mt\nZ7cWrKefWKvVWjojwYhrRqVSWVefUagZaaElOGmh3VnZfN5n+j5MJhOvvcbPJ1/5IDnHleh0N4Lr\n8lWfv4mNgXNd3SWcY/OcZbNcXblcJhAI0N/fL8c4lpeXyeVyctQKnt9MIvSfrVarJL6EQiGuv/56\nSe7T6/V0d3eTTCZJpVLk83kZbM/NzREMBrFYLPh8PorFoswCy+UyRqOR6elpcrkczzzzDMlkEp/P\nRyAQwGazUSgU5Jy0yIJFhSsSibC0tITJZJJOTVS9qtXqipnq1e4JQs5Sr9dTqVRkqVdVVSm+Il7n\ndrv4+7dZuf6yf0ZveAconk1nqcGGcpjiAhDycyISFTd0rbMTN3jR+BbPEbNJWmizp03iyYXD/3h5\nH5++M4BFXyGx9AOikbfS1b0pefdSx5m2ihgMjVuWKL+2eu3o6CiBQIBcLsfll19ONBrl5MmTJJNJ\ntm3bBjSci2ivpFIp3G63DB5FcLm0tIROp5N8hb6+PrkBZHJyUgp9iBVbYqflE088QWdnJ9lsVmaE\nQlhdsOgNBgPpdFqKDIiWUaVSkZmlVsZOG7zq9fo16zYLspDRaJR7LbUVJeHQGyNrNj79O3Zu6juF\nWjOhZKfAOXxuf8QNig3lMJuhlWZbbd6webGxeM2lNJ/YCkIZR2Sl4jOIyFc8R1EUyZzTSuu90Lhu\nl4G///U5rIYaaferqF3+t3Q915faxEsPzTJ12kypWVgdntd+bc6o8vk8bW1teL1e2trapJqXx+OR\nz63X6wQCARYXFzEajTidTskzUFWVbdu2SaJMJpOhWCySTqd58MEHaWtrw2g0EggEpFCJyWSiu7tb\nZprCcVarVZllCuarqNLkcjk5L10sFqXUpuhJqqpKLBajUqmg1+vlUgVgXUsOFEWhVCpRr9eluLs4\nB3GfaPRGfXzmdx388vZpVMWEeu3XUHpuOfc/6AbFhnaYGwFCrUOUWg8dOkQgEJB9lGZo5yG15Rrt\nsPLg4CDj4+OyLP2LRp9H5dvvqWM3qURsN2F+2Rfocbo2s/cNima9WFEmjUajkrFarzd2woptHe3t\n7S17koLRqlXRET3JZDJJd3c3Xq+XI0eOEI1GGR8fZ3Fxkcsvvxyv14vL5ZJtAiH2sW3bNimBp6qq\nZNCGw2FJ8Hv22WcxGAx0dXXR19dHKpWSJU5ojHXNz8+TSCSkbF2tVpN9TaHs43K5AHA6nZRKJRYW\nFojH41LZS9hvsVhcQeI511aPoijyuEtLS1L4QNtCsdlsfPANzzlLnQmu/TrKBt1neb44Z4epKMqr\nmh9TVfU/z+90zh9ms7ll43u1oXuz2dxy6N5sNreM5Gw222mPOxwOKcelhViV0wyfzydLNVp0d3cT\njUYpl8uUy2VKpRJtbW3EYjEAOdqyb98+urq66O/vp6+vT25AMJvNkh4uVDoikQgLCwvMzMywvLxM\nIBDg2WefZWZmRtLkX/7yl/Ozn/1MbkkA5IaE5s/Tat+lUBhpRrNhCtTMXXxvwcM2v0px2/+mJ19E\nZ8hvknvOE5eiTYp2hwjwhMObm5sjkUhIB9nW1obf75ejH2Jso1W/U5B1DAYDbrcbq9Uql6KXSiVc\nLhfRaBSXyyUFBaCRmWWzWSmM3tvbS09PD93d3SQSCSYmJiTLvb29nWKxKNmpAwMDlMtl/H6/zEoX\nFxd55pln5PyimA3t6+tjeXmZVCqF1+uVvAjBVG1vb5ckIiFkILJqYX+wOglQjIM0Q5RWtdBWy8SW\nI+C0rUKlnjdQd/8Xyt4PbdjlzxcC55NhivrZLz5FOQNWG66/UI+3aqyvl1BTLBalIYgMslKpSBEE\nwUQdHh7m2muv5aqrruK6665jeHhYXvyVSmVFP0fI6+VyOeLxuDynHTt2cPjwYfbv3y+3gUAjuj5+\n/Dj/+Z//yXe+8x2SyaQs/Qjh6WbjE7NirdAq6Gj+Xq4aVjFZXRy66XaKw0dI9vdxZO8BqtXq5tjI\nhcEla5M+n2+F7JzRaJS7VsvlshQXMBgMklkuxM/FMbLZrNRZtdvtbNmyhWKxKPWdBUM9EAiQSqUI\nh8My2xO9O5fLRSQSkecg9KJnZ2eZm5ujWq3S3d1NW1ubJMQA7NmzR2aWjz/+uNRnnp+fl6u2rFYr\nfX19RCIRyaiv1WosLy9L+xS9U7HNCJC9ymasVxBE3Evg+dltMUJXqVRaEIJU3nqTiVr/bfzab74d\nXe//BmWzynMmnLPDVFX1nxRFuQq4C7DRMNLPX6gTA1AU5R+A24Cwqqobgj4posl8Ps+ePXt48skn\n5YW8uLjI3XffzfXXX8+1114r14WJ3sd///d/88wzz8gB64WFBRYWFuQsVyuYzWauueYabrzxRm65\n5Rb27dsnVUpuvfVWbr75ZvR6PWNjY/zd3/0df//3f79qln4+uGpY5b/+REFV8jzkGMY/vJvdu3ev\ncOKbOD9cbJs8V3vUrtUSHAGXyyW1Wg0GAyMjIzidTjweD36/Xz6vWq1K5ujc3Bw//elPqdfrDA8P\ny72SIiMUbFmxQk+8XzKZZHx8nIGBAZaWluSSA7Hjcnx8XCpnCVUinU5HLBZjbm5OjqV5vV4qlQrf\n//73MRqNMjO12+3yc544cYJCoSAXNIsgVlVVHA6H1JdtVWG6UBBKQLlcTvZLm4mMoPJ/f0Pl928p\nkmwP4ezp2XSWa8D59jDvAZaBvwDuPv/TOQ2fAz7BBXbEvygIYo4QOh8aGmJsbIxcLofFYsHpdPKn\nf/qnHD58mGuuuQa32y37eLVajZ///Od873vf47vf/S4PP/ywzOIcDgd9fX309/dz6NAhucVdbGm3\n2+2YTCZUVeWhhx7ie9/7Hu973/t43/veh8/n45ZbbuFDH/qQlPBSFIWdO3fy8Y9/nHvuuYfrr7+e\nvr4+ksnkBSEIXTWs8p3/CQ6LSqztBgaGr8Pe1thEv+kwLzgupk1+jnXao6IoxONx9Ho9uVxO3si9\nXq9cSScWsPf29konKKosDodDlm2DwaBUvHG73VJsIJ1O09HRIXWZR0dHCQaD2Gw2BgcHWVhYYG5u\njmKxiNFo5KmnnsJkMuHz+VhYWJCa0IK5KvbDih2wY2NjcjmCGAcRbHwxpuFwOJiampKfVcxyihaG\nEF34RahziWxcr9ev4DE8D+EsVWoYcOz93U3+wBpxvg4zBFiAOnDBBQZVVf2RoiiDa32+TqeT+yib\nIXoGzXC73S2jPa/X27Iv19nZedrjvb29hMNhSRgolUpSbkoYvsvlYuvWrbzxjW/k6NGjHD169DRn\nkUqleOSRR/jKV77Ct7/9bfk+u3fv5p577uHYsWMcOnSI9vb2FZGtFmILhMCxY8f4kz/5E+bn5zlx\n4gQ//OEP+eY3v8m///u/c99993HbbbetOM6OHTv4yle+wmte8xquvfZaJiYmpNP0eDyyjKSFEH5v\nhqIoHOwv8p3/CU4rJNtvxXjNl3Bk8ys2P2ziguKi2eR67REa7QIxd2i32zEYDIRCIWKxGKdOnSKT\nyeD3++V++cmACgAAIABJREFU2Onpabkc4bLLLiOXy8mtJG63m97eXo4ePUomk2FiYgKTyYTVauWJ\nJ57AZrOxb98+XC6XVOxxuVwcOXJEbjL5yU9+AjTsXgzuF4tF7HY7qVSKQqHAwsICHR0deDwe5ubm\nWF5elmxW4ZQFc9ZoNMpVXIKNrtfrpaCAtlLjdDpb9h5FUNAMp9PZ8p4lGMLNaF52IObNASmpp3WW\ndcVI/eqvYhx4zXr+pC9pnK/D/BJQBu4Fvn/+p7N+KIryNuBtz/1/y4F7WH3ovnn91dkez2azKy5K\nVVXlvsv29nZJbti6dStXXXUV11xzDVdffTW7du2SUVy5XF7R3B8fH+eBBx7gi1/8IoFAgLa2Nn75\nl3+ZX/qlX+KGG26Q4slNn7tFmaWBVo/39PSwZ88e7rrrLqampnjLW97CG9/4Ru666y7uu+++FU7z\npptu4v777+etb30rJpNpxdLpVuQmIUnYCv/f6xrO8lR2L+WdH6YtEsPn85222mkTFwyXlE0KQprV\namV5eVlmWkI6TpRlxTo9u90u97mGw2HJEFdVlUQiwfz8PG63m5MnT3Ly5En27t3L/v375cqsJ598\nkh/84AfUajVGRkbkNpLFxUVmZmaIRCK4XC5KpRJer1cGzMKuxbaQQCCAx+ORC9+FMwyHw3ITklD4\nalbcWk1AYDWuw3rvWc3iKVqslsGKSteObnjry6GmGihf+QCWgZfmmq5zxXk5TFVVR57739+/AOdy\nrufwKeBTADqd7qKTHcTFWq1WOXbsGD/4wQ9IJpO0t7dz7NgxbrvtNm688Ua6urqoVqurOrVEIsHX\nvvY1vvCFL/DII49ItuoHP/hBbrvtthXZ14Xud2zdupXvfve7fOQjH+FjH/sYDz/8MA8++CBdXV3y\nOXfddReBQIAPf/jD6PX60xz2WvGmT1v467cPsey9m93RBNVaI6IW9PpNXFhcaja5a9cu1Wg0EgqF\nmJubk4sFRMlSLE0WUm3xeJyOjg4SiYR0VB6Ph0QiIdneYt/s/Pw8ZrMZn8/H7t27SaVSPProo4yP\nj+NyubDb7UxNTQEwNzdHMpmUggehUAir1YrdbpdiAiLbFCIEyWSSUqlEOp0+rbQptKe1ge8LibUG\nn6GCi39N/hqvvOXlOC57/UU+q42H8xkreRPwBRo9DS/wmKqqf3mBzuuSgBAEED3IgwcP8sQTT8jM\nc3Jykt/5nd/hVa96Fddffz1Go/GMx6tWq/z3f/83//RP/8S3v/1tSqUSu3fv5iMf+Qh33HEHLpfr\nF2aARqORD3zgA1x33XW89rWv5TOf+Qzve9/7Vjzn/e9/P8ePHycQCLQcJ1kNV26t88evrvMH/+Jj\ncOsefpa+nJuv2kl3dzc2m42Ojo4L/XE2waVpk8VikYcffliOR4n+++DgIMlkkrGxMfL5PFarVW4X\nEsP1MzMzTE9PMzAwQE9PDx0dHYyPjzM2Nobb7WZoaAi73c7o6CiRSAS9Xi+F1AXBRqfTyR7/iRMn\nsNvtWK1WAGKxmFyjt7i4KDcXiS1C2iyuFWNeVdWzLlL4RUGsKGsNlY/eWefUgkLW/0puvPPPcW6K\nhJwTzufufFhV1c8pilJUVfV2RVE+fsHO6gWCcI5CoNjpdEoGqtVqxWw28/u///tcddVVXHnllfT0\n9ACsEEBuhZmZGT75yU/ywAMPEAqF8Hq9vOUtb+Guu+7i4MGDskfYqtx5sXHs2DFuuOEGvvjFL/K/\n/tf/WkHyURSF22+/nd/7vd87Ta9zNVy5tc6331PDaYUY7Tyc2cZrXvMadu7cidPplIPrm7gouORs\nUlVVOjo6sFqtzM7OEgwG8Xq9tLe3s7S0xPz8PFarlZ6eHqrVKpOTkzgcDhwOh2Rviy1DQnUnkUjI\nKkUmk2FmZkY6x3w+T1dXF2azmVwux/LysnRswjFnMhlqtZpUARLarELIw2AwyCx4tdaB2+1u2V+E\nBv9Bu15LoKuri1gsJsvMBoMBvV5PZ2enXFivhcvlailQcqb5zFYEn4/eUeMdr1Ap1/QsHn77ZsB6\nHjgfhyn+Mu9+7mfr2uN5QFGULwM3AB2KoiwAH1BV9bOrPV+v19PT00M0Gj3tdz09PaddfKqq0t7e\nzuLiIkNDQzzxxBPydzt37uTo0aNcccUVXHHFFezbt0/ONgkD0m48aZVd/vSnP+X+++/nW9/6Fjqd\njle+8pXceeedHD16VDogrdGFw2EZ/WqxtLR02vB2MBjE4XAwMzPD008/jd1uZ+/evVitVrm9QQvR\nc2lGrVbjjjvu4G1vexvHjx/nmmuukY/r9Xpe9arGLLzRaKS3t7dlX9doNJLNZlc4y/8a9fDdxQPs\n2t2H0+mUzOBsNrvpNC8eLqpNrtcen3uNFPYYGxtjfn6eiYkJtmzZIvc6Tk9PEwgE5CxlT08Pt9xy\nCz6fj6mpKRYWFgBkb7NarTIyMiIdoNCDDoVC5PN5fD4fbreb2dlZkskk09PTmEwmuaS9WCzKPiQg\npekuRN8RWLEuS8uSP3jwIIuLiyuqNaLdsXfvXo4fP45er8dkMqEoCslksuVGIpEBN+P03maD4POO\nV6hUajqme/+CvoEDm7Z3Hjgvh6koyi3AzxVFOUqDlXdBoarqHet5vpi5anWRid2XIrqrVCpYLBYW\nFxfR6/XY7XY++MEP8rKXvYwjR46sWKaqhXa1kIB2fY6qqnznO9/hr/7qrzh+/DhOp5N3vetdvP3t\nb5cZqTDcZhgMhpZjFgaDQfYQJyYmeOihhzh+/DinTp06LZL1eDwcPHiQAwcOcPjwYQ4cOCCXY7fq\nQ9ZqNX7t136Nd7/73Xz5y1/m2LFjKz7nwMAAhw8fxmw2y4i8FQ5vqfDt9zQIPv/+tJ1/DryCPZfv\n5ejRoxSLRebn53G5XGzZsuWct1Vs4qy4qDa5Xnt87jX88Ic/lBlgpVIhmUzKwDMcDstZRaFyFQ6H\n0el0dHV1kUgkiEQi1Go1qTQVi8XI5XIrlq4LJ1IsFslkMrS3t0vWaDqdXjHQf6FmjEXLRoiciJ/V\napVyuUxXV5d09jqdjmAwyOte9zqOHj3K1q1bmZ+fZ2pqiomJCaampiT7de/evYyNjZ3v2Uk2bLmm\nENjyV3Ttu3uTmX6eOB+H+R7grcBrgGee+/clg+YZyH379sn9dABbtmzh5ptv5hWveAU33XQT7e3t\nK16/Xu3GXC7HN7/5TT796U/z8MMP09fXx5/92Z9xzz33rLmceSaEQiHe+9738tOf/hQAv9/Pdddd\nx5EjRzh06BDZbJann36aRx99lImJCR588EEA7r33Xt785jef8dh2u53Xv/71fO1rX+OjH/3oac7s\n1ltv5SMf+Qi9vb2rHqNSg1odvnnCzOcnX87BQ7s5ePCglAnr6upi586dknW7iYuCS84mc7kcjz76\nKPl8XtpiuVyWA/Xlchmz2czy8rIUOKjVajz88MOYTCampqakuo8gA4kF0EJAXLQyxDiHYG2fz6q9\nZoh7ibivbNu2jcnJydNG2IRcn9/vZ8eOHRw8eJCjR49y6NAhrFZry+xO9B9VVeVzn/sc99xzT8uR\nsfWiVIFyVeGk64P0br99k2h3AXA+Sj8V4P4LeC7nDaHwv23bNjnLBY35pEKhwN13382RI0e4+uqr\npczc2fqPZ3u/hx56iH/8x3/kG9/4BplMhqGhIT7xiU/wpje9SW4jOF/86Ec/4iMf+QilUol7772X\nW265hVqtRmdn54rn7dq1ixtvvJG+vj7i8Tjvfe97+cQnPsGrX/1qOT+2Gn7rt36Lz3/+83zpS1/i\nt3/7t1f8zul0rirS3tVeZzml4/EZuPL9YO3Yyu7L27BYLPT390sh7aGhoU2Dvci4FG0yn8/LzLFU\nKkkBg0qlgslkorOzE51OJ5evC0m6QqGA0WiUpByxWFkcQ5RvtdflhXSQwjFms1l6enqYmZkBGg5x\n69atdHd3c91117Ft2zaGh4cZGBjA7/fjdruB1huBziZaoCgKv/mbv8m99967an90DWdOtwuCSYW/\n/VkfnS+7k/37XrPZt7xAuGCUTEVRfguYVlX1hxfqmOuFqqr4fD66u7t5+ctfzs6dO9m/fz979+49\nbc+lMC6tJqsWxWKxZXlULHv96le/ygMPPMDk5CQ2m43Xvva13HnnnVx99dUoiiJLT63KoKFQqGUE\nubCwsCK7KxaL3HfffXz9619neHiYe++9l76+PkqlEoFAoCWxQFt+etOb3sTPfvYzPvShD/GHf/iH\nLTO7Wq2G1WrlwIEDHDx4kE984hPcddddqKoqvy/Rj/H5fCsGpq+4rMo33lngr/7LzMe/66JgaGPn\nZVvp6OjAYDAwNjbGwMAAfX19FyTL3sT6cCnYpJhdFCVZUbIUWZUokQpB9Wg0itFolIQbIV8nRj20\n12R7e/uq87+rLT7o6OhoOabV0dFBKBSiVCrh9/ulg/R4POzbt493vvOdXHfddezZsweDwXDaLLWA\n6I22unespmwllkJDI0t+3etexz//8z/j8/laEgFtNltL56vX6/jLN5R5w1Uqr/qYhV/+zTfTv+d6\nBgYGVh1v28T6cEaHqSjKK4Dbgb9VVfVJRVHe9tyMVSv8B3DwQp/genDw4EEefvjhlhfHapmktv+o\nhWCwCcRiMb7+9a/zwAMP8NBDDwFw7bXXcu+993Lrrbfi8XhOO4bZbJaGoIXVam3pvMRMGsDY2Bh/\n9Ed/xNTUFK973ev4wz/8wxXZajQaxev1tvycIprs6Ojg7rvv5rOf/Syvf/3rOXjw9D+PNgt+xzve\nwVve8hZ+9KMfcdNNN62Q6YMG+Uj0MK8aVvnGO+s4rbDDX8bj6aarqweTySSHuQX5YZPkc+HwYrNJ\n4QTNZjN+v598Pi+3gBQKBZ599lkpO2cwGKRaFiDJMULmsdWxV8sqzyQGUC6XV6zN2759O8888wzQ\ncLR79+7lXe96F8eOHWPXrl2rchlWk40UhB0hCt/X14fL5WrJf9AeT+ANb3gDn/3sZ1lYWGipDNS8\nULoBlb+4vcGGLVXgT37/Dvbdcodk+V8KO3A3As6WYf4W8LvA+xRF8QAHxC+Uxl/gnaqq3gegqmoY\n+K+LdaJrwYW+Kauqyg9+8APuv/9+vvOd71CpVNi5cycf/vCHuf3229myZQtAS5LR+eBb3/oWH/jA\nB3A6nXzmM5+hs7PznEu7b3rTm/iP//gPPv7xj/PKV76ypQMX+NVf/VXe+973cv/993PTTTfJx5uj\n+KuGVf7zjxvO8isPKfzBVz24PRbcbjcOh4NisYjf72f79u1s3bp1k+BzYfGiskntfkmr1SpJeSJb\nvJBl1DOdg3ZcTDuuYbFY8Pv93HHHHdx0000cOnSoZSWqGeVymfHxcZ566imeeuopZmZmCIfDhEIh\nlpeXT2OTOxwO+vv7GRgYYGBggIMHD/LmN7+5pSO74YYbzpg9t/iEfOzOGu94RZ1SBf4t8UaufP0H\niUajZLNZ+Zk3g9bzx9kcZkZV1STwHkVR/g9whfiFqqqqoihXKIpyB5B67rEXfB/mhUA+n+cLX/gC\nf/d3f8epU6fw+Xz83u/9HnfeeSc7duy4qILh//Iv/8L73/9+rrrqKj72sY/h8XiYmJg45+NZrVb+\n+I//mPe85z28+93v5m/+5m9WNRyTycRrX/tavvSlL8mIPhwO8w//8A8cPHiQYDCIv32ls3zXP7ux\ntzlxOBzs3buXoaEhuSk+mUxKUobYALGJ88aL0iaTySTJZHJFZnYxnKVgrhaLRUqlEoODg0xOTgLP\nLxk4cuQIV1xxhWSRi5GS1a7Per3OyMgIx48f58SJEzz11FOMjIzIsTKbzcbQ0BBdXV3s2LGDjo4O\nenp68Pv9GAwGAoEAgUCA2dlZFhcXeeSRR/jUpz5FsVjk7W9/+2nvp9fr8Xq9LXWbW+Gdr6hLZ/kX\nPzvK5bc0epZOZ8MuzWYz+fzmvtkLgbM5zG9r/v+DwGLT778HmGjs4bukdvCdCxYWFvjkJz/JZz/7\nWeLxOPv37+fTn/40t99+u+xFrj3q+//ZO+/4qOrs/b/vlMxkJlOSTDopkEJIgNCr0gT1iwVpiqwN\nbCCulSKyNkSlKAgqi4LlByjIssAiShORIqh0pCaUQEjvmZTp9/dHvHcTMlGqIjvP6+UL587MnTtw\nz5zP55znPM/FY9WqVUydOpUbb7yR99577zd3gxeDXr168fjjj/Phhx8SFRXFiy++2Ohr4+LiqKys\npLy8HH9/fyZOnCgnPo1GQ365wOsrBdo3heeWW9Dp9ZjNZtndQa1WEx8fj1arJSYmBp1OJ/c9fQF7\nRfCXikmFQtGgj9+Y2LjZbG607+itXy8ZrkusWGknW1JSgt1ux2KxkJKSwsiRI+nYsSPt2rVDq9U2\nKLFKBCKpiuPxeDh69Cjbtm1j8+bN/Pjjj/VM3Fu1asXDDz9MmzZtSE1NpWnTpvXOWVZW5vVet9ls\nBAcHI4oi99xzDxMnTqRz584kJSU16IdKQineoNFo6gkXLPpByeBOcFi8g4SeQ8nLy2P37t1069YN\no9EoL1h9uHz8ZsIURfE/dR7uAB487/n/dzUu6lIhlX+8NeO9NeJFUZTFmtevX8+OHTsQRZHbb7+d\nESNG0KtXL1lDUiq7VlZWNhAXKC0t9XpDFhQUeA2cnJycBqzVlStXMnXqVDp27Mjzzz9PTk6O/Fxm\nZmYDabqzZ896dVNpTLC5S5cuFBQUMHfuXHQ6HYMG/VdHsi4BKeRXyayMjAzMZjMrVqxArVbTq6UG\nhULJqkKYtU6BIEBEhJbY2FjZ9d7tdlNRUUFYWBhhYWFERUUREBDgcya5gvgrxuT5O8kLMVavi+rq\narnEKbFXXS4XVVVVqNVqmcSTlJQkmx106dKF5OTkBiVPp9PptQxaUVHBli1bWLduHRs2bJDFT6Ki\norj55pu58cYb6d69u2yJV1pa2ugCsDFjBMmgHeCf//wnXbp0YdSoUWzatKnB7lav11NTU+P1PLXj\nNHYe6wMLt0FhucDuwHcZOvRuzp49y/bt2ykoKKCoqEhm0ks+vL5Kz+XhYliyjwOfC4KwUBTFt+s+\nIQjCOlEUb72yl3ZpOJ+sc/5xt9vNt99+yzfffMPatWs5c+YMAK1ateL5559n5MiRspO7t9KrRqNp\ncNzf398rG1an03lNFAEBAfVYo19++SVvvPEGHTp0YObMmQ3On5ub22CEJC8vT05udZGdne2VgFRZ\nWckrr7xCSUkJM2fOpF27drRu3RqXy1Xv85o2bQrUJvutW7ditVrpmerHZw/mIQKH0uF4bu13kBRW\nJPUVQRAwmUwEBwdjsVjk4Dz/h8UXvFcMf4mYvByIoih7T/bt25edO3fKi8f4+Hh69epF79696dWr\nl2y4Dsj3ZWMoLS1l8+bN7Nixgx9//JF9+/bhcrkICgqib9++9O7dm549exIUFHTFKj11ERYWxgcf\nfMCwYcOYN29eg6qPWq1udJQLRGbdB0/fCre1gdXlI+nbt59szN2yZUu5yiNp61ZWVsrMWl+l59Jx\nwQlTFMVdgiB0Bj4WBGET8G8gDegGXFix/U/Gpk2bGD9+PIcOHUKn09G7d2+effZZ+vfvT3R09B9+\nPR6Ph/fff5/333+fnj178uyzz17V/qhKpWL69OncfvvtvPfee8yfP7/Ba6TEX1RUxIYNG+jT2p+V\nT9Vg9Id//aziRH4tO08aF1AqlcTHx5OUlER4eDgWiwWr1YrL5cJsNnsdJ6murvaVaa8AroeYrIu6\nYiMej4dWrVpx4MABuXx78uRJ7rzzTnr06EGfPn2Iioq6qAXXyZMnWbVqFWvXrmXbtm3ySFXHjh15\n5plnuPXWW+nUqVO9Bfelz0P+Pvr3709YWJjsqCKhrKyM3bt3y4zz+hCZdreTMX1rhQkOVndh0KDB\nWK1WWQhCmneW+pZGoxGtVovNZvNVei4TF5wwBUGYAtwL1AAHgZeATcCtoiie30e5pnD8+HHGjx/P\n2rVriY2NZeHChQwYMACtVovdbr8i4gIXi8LCQiZMmMD27dsZNGgQkydPlne7VxN6vZ4BAwbw6aef\nUl5e3mAe9IsvvkClUtG9e3dWzh9fL1k++qkGt8eFRqNBp9OhVCoJCAhAo9GQmpoqO05oNBp5gNsb\npKD1Be/l4a8Qk0qlsoGKltR79Hg8cu+xa9eu7Nq1S5471Ov1mEwmxo8fT8eOHenatWuDyklNTU2j\n7j7V1bUm5fv27WP16tWsXbuWY8eOAbU60U888QT9+vWjTZs2qNVq8vLy0Ov1DUTQs7KyvIp+nD8z\nXRfl5eUNKkISzq9E+fn51dv9AaxYsQK73U5MTIw8FlILkTcH1zC6j+tXgk9Hetz7FklJSTJrNyQk\nRK70+Pn51Rvp8i1OLx8XU5J9CGgtimIJgCAIIcAC4G1BEB4XRbGhBfgfDMngWCqhlJSUMHXqVD76\n6CO0Wi2vvfYao0ePrkfgqays9FpOraio8PqDXlpa2iDJFBQUeA2q7OxsrzusFStWMHfuXGw2G089\n9RT9+/cnOzubkydPenUnOHHiBFlZWfWO5ebmyjqV5/8deLPiCggIkBcGCQkJuN1uli5dys0330yT\nJk2A2tX0woULueOOO9izZw+jelZh9Iflu1Q89pkWj1hb4lIoFPj5+REZGUlCQgLh4eHyGInNZsNi\nscgEDG/wacleMTzEXyAmpVlCqZ95+vRpUlJS+Pnnn+X5aElntXPnznTq1ImUlBR5p+dyubzuJBub\nazx69CiLFy9m1apVnDx5EpVKxQ033MDIkSPp1q0bSUlJXq+1sfltb8erq6upqanh2LFjHDt2DLfb\nTVxcHHFxceh0OnnkrC48Hk+DmJB6/3W/x9KlS4mPj6esrKyecEHTEJG/dXXKybL3fe/QtGlTLBYL\nhw4dwuFwUFVVRWBgIOfOnaNZs2a+lscVxsUkzCRRFOV/PVEUC4EBgiA8DvwIpFzpi7tYCIKAn58f\n1dXVfPDBB8yePZuKigpGjBjBCy+8ICeGutBqtV7LoFqttlHRgfMTbGO9Sr1eXy+R2u12ZsyYwcKF\nC0lISGDKlCk0a9ZMft7Pz89r/1Fyh6+L4uJir2Xkc+fOeRU0sNvtcqmmffv2WCwW9u/fz+DBg+Xk\ntWjRIqxWK888/TTTZ8zg6KFwfj6Zx8y1Ltye/7IanU4n/v7+MoU/ODiYyMhIzGazvLJXqVS+PuXV\nxzUfk1IPsnv37vzwww/YbDbZRmvChAn06tWLzp07ExAQcMkylaIocujQIb755huWL1/OL7/8gkKh\noEePHjz77LPceeedcsXDG1HuQmC1Wtm7dy/Hjx/n6NGj7N+/X24rqNVqlEplPZGB0NBQmjVrRo8e\nPRgyZEij55VKpRLy8vLYvHkzarW6zs5cBAROFwrc/o6KLu2a8+grn6PX69HpdBQVFcnJNTY2FpVK\nhd1u/10pPh8uHhfTw/Rq1iiK4oe/9k+uCcybN4+33nqLkpISbrvtNl599VVatWp1VcdBLgTHjh1j\n3LhxHD9+nAEDBjB27NgrRiaQ9DUv1HxaoVDQrVs3NmzYIP+9WK1W5syZw8g7W9C+YiI/bvuZ4go3\nM842JE5IQgqCIKBWqwkJCZHHRwoLCwkLC0OhUPj6lFcZf4WY9Hg82Gw2cnNzefzxx+nduzc33njj\nZesKFxUVsW7dOr777js2bdokzyx27tyZd955h/79+3tdIF8o7HY7+/btY82aNfzyyy8cOXIEj8eD\nIAjExMSQlpZG27ZtadGihbyTy8vLIzMzU3YR2r59O7t27eLOO+/0uig/cuQIR48epUOHDvKxBQsW\n4PF46ry+1s/yXInAu+uVOE0dGPLUbEJCQigsLKSqqoqQkBCio6MJCwvDYDBQU1PTqNC7D5eHS9KS\nFQRhOLWOCG5AAL4CTlzB67okZGRkMG7cOPr06cPkyZPr3Yh/FkRRZPHixUydOhWj0chHH31EkyZN\nLjtZOhwODh06xPHjx8nKykKlUskSXGFhYV53qnUhESskev/EiROJUGcyd6gfGqud52/T8OKShtR/\ns9ksr9YDAgJwOBwUFxeTmZmJyWSSV7W+PuUfi2s1JmNiYtiyZYs8jgG/L0LeGM6ePcuiRYtYs2YN\ne/fuRRRFAgMDuemmm+jbty/9+vWTHXUuxYy9pqaG9evXs3r1an766SdsNhsKhYKWLVsyYsQIOnXq\nJPfqjx07Rnh4eL33R0ZGEhkZSXx8PAkJCWzcuJFJkyaRmZnZoAzscrkYM2YMJpOJiRMnArVJeu7c\nudxyyy389NNPSMny7zfXihJk2Fsx5MG/IwgCFRUVssSmQqEgNjaWoqIiysvLKSgoIDIy0rdQvQq4\nVPH1nqIoDpMeCILwAbDkylzSpaOqqoo5c+bw6KOPXhPaidIox9q1a+nduzdvvfUWQUFBsvLIxcJu\nt3P48GH279/P0aNHZQPsDh064HA4yMzM5PTp0+zbt4+goCASEhLo1atXgxJyZWUlmzZtonfv3uh0\nOs6dO8ex7Z+yYaICjcLO6gM65u8MptYjuOE12Gw2/P39MRqN9WbOJCPexsZJfLiquCZj0mKxEBUV\nVW/u0ul0eu0LehvlcjgcrFixgi+++IJNmzYhiiKdOnXihRdeoFOnTg1YrZLAQV5enlcz9szMzHqL\nOFEUOXjwIEuXLmXPnj3U1NQQEhJCr1695OQovb64uJitW7cCtcSexjwrpeqLtCjesWOHbBQdHx8P\nwJw5c9i3bx/z58/HZDLJvqH5+fns2bMHgyGA1wZYGdG1Nlk+9a9Inpo4SxZmqKmpkZWEJCeXqqoq\neTY1JCTEt8O8CrjUhKkRBOE2IAtoAjS8M/8EJCcnc88993gtv1qtVq+7nfLycq/HS0pKvDqK5Ofn\nNyD45OTkNCD3pKen8/zzz1NQUMDDDz/MoEGDKC0tpbS0lPT0dLKzG5IY09PTOXXqVIPjZ86c4fvv\nv+ddaZhGAAAgAElEQVTw4cPY7Xb8/f2JiorCZDKh1+tlc+jk5GRUKhVlZWUUFhby888/U1xcTHJy\nMtHR0fIw9rp167DZbPTo0YOysjJ++mY2X491o/eD9ceDGLfSjEbbsISkVqsJCAggKCiIuLg4EhMT\nCQ4Opnnz5vj7+1NeXi6b9vqS5R+OazImoaHwd2NknbpGCMePH+ezzz5j8eLFFBYWEhkZyfjx47nv\nvvuIi4sDapNjY5UayQnlfLjdbtRqNQUFBXz11Vd88803ZGdn4+fnR7du3ejVqxfJycnydWzatKne\nfKeEs2fPkpiY6PWznU4n4eHhhISEoFarKS4uJjw8HKVSicFgID09nenTp3PXXXdx3333yde7f/9+\nAOx2G68NqGBEVwd2J4z6IoTHXl1OYmIiZ8+exWQyoVKp0Ov1crwFBQWh0+nkROmLv6uDS02YTwCD\ngFbAOWDMFbuiy4BE1PEWKI2Rey5WdECv1ze4Geu6jIiiyPLly5k8eTIBAQHMnTuXtLS0eq8XBMEr\ne7aioqJBcObm5rJu3TqqqqowmUy0bt2aoKAgfv75Z4AGVkUBAQE0b96chIQEdu7cSU5OjmxJ1KpV\nK0RR5MUXX6Rly5YMHDiQwsJCli7/mhHjBNZlmrhrejke0Sp/l/P/TiTj6pCQEJKTk2XigTQGEBAQ\n4CvD/jm4JmPyYpCbm8uqVatYunQpe/fuRaVScdtttzF8+HBuueWWy7aokpS9Nm7cyNatW3G73XTo\n0IGHH34Yo9FYr2x8pRAQENBgVGXBggWIosi7774rK4m5XC5WrlxJfHw8hYWFFFsF7E4Y8YmBx15b\nRvPmzTl27BgOh4OoqCjCwsIAZFa90Wj0Wej9AbikhPkr2WCx9FgQhAnAtCt1UX9VVFZW8vrrr7Nq\n1Sq6d+/OqFGjSEhIuKRzud1utm7dyg8//IBSqaRly5ZERUVdVKk5ODiYgoKCerqdK1eu5OTJk0yZ\nMgVn2QleeOFN9p920vElkdzyCkS8/yhJSklS/8ThcJCVlUVSUpJsnOvn54dKpfKVgv4E/FVjsry8\nnFWrVrFkyRK+//57PB4P7dq1Y9q0adxzzz2Eh4dTXV19WcmyoqKCFStW8Pnnn3Py5ElMJhP33nsv\nAwcOlHueu3btulJfScaaNWsoLS2lb9++8jFRFPnqq6/o3bt3vR7o5MmT2bVrF0lRGkDD2+s0fHcy\nhOdemSvboplMJpxOJ9HR0bhcLtlpBXxcgT8Kl0r6WVb3IbUWQ9d8cF5N7Nu3j3HjxpGdnc2TTz7J\nE0880UDB40JRUlLCypUrycnJIS0tDUEQGhAMfg92u51Tp05hNpvl0nJ6ejpTpkyhc+fO9O8YSLNj\ndzEg1sPOnZBVovjVScL7+SQTaLPZjE6nIygoCIPBQGpqKmazmZCQEPz8/HyB+yfhWo3Juv6WEqqq\nqjh+/Dgffvghy5cvx2az0bRpU/7+979z99131yt1VlRUUFBQ4PW+OnfuXKP32/Hjx7HZbKxcuZKN\nGzdit9tJTExk8ODBpKWloVarSU9PJz09HYDTp0+zZ8+eBucpKCjg+PHjlJWVyZrRYWFhaLVafvnl\nF6+fHRkZSWFhIYsXL6ZFixakpKRQWlqKn58fhw4d4vTp0zz77LMy+Wnbtm28+eYbzHlQwf032Bkw\nW01mRRDzl27Cz8+PoqIiuV/pcrkoKyvD5XKhUqkIDQ31LVD/QFxqSbZCFMVHpAeCIPzzCl3PZcHj\n8WC1Wr02+8vKyrz2JIuLi72KDuTl5XktcWRnZ9eTy3K5XMyaNYuVK1cSEhLCtGnTSE1NJTMzk5Mn\nTzYox0BtcHoTHcjNzWX//v0cOHAAURRp3bo1YWFhZGVlNSAYeDwer87xEingyJEjOBwOUlNTKSsr\nw2Qy8cwzzxAQEMCUZ24j4dyTBGhFYoJBrVIgKBq/FUwmE2FhYTJ1PS0tjYiICJo3b47ZbEalUvlM\nov98XJMxWZcU5nK5WL16Ne+99x47d+7E39+f4cOH88ADD9ChQwesVqvX9oharfbaTvHmhAK1IycL\nFy5k8+bNuFwuevfuzR133EFiYiIbNmzw2rI5evRoPW1mm81Gfn4+R44caTDTeOLECcLDw+nTp4/X\n6zKbzZw9e5aioiKmTp1KmzayZSmff/45AHfddRd+fn6UlJTw8MMj+WSMiQe7lGF3gkFdxbRp8wkP\nDyc7O1vu+Wq1WqqrqwkKCqKkpASXy1XPtqsxjWafdvOVw6UmzDfOezzpci/kSkAQhEZtcfR6vddE\nKvXgzkdAQIDXxnlAQIA8UJyZmcmECRM4ePAg//d//8fzzz9fLymr1Wqv4x0Oh8OruMDBgwc5d+4c\n/v7+tG7dGn9/f5xOJ8ePH29wo3tzkwdo3bo1sbGxbNu2jWHDhtGvXz9EUWT+/PmcPXuWNZ9NonP1\nKxi0Ikt3wqiFOlzuGnA3dInw9/cnMDCQqKgo0tLSqKqqIi0tjeDgYDQaDW63G5vNhtFo9AXin49r\nMiahdlxjwYIFzJ49m3PnzhETE8Obb77JAw888JsSihcLl8vFxx9/zPz587Hb7fTp04dhw4YRGRl5\nQe8XRZH8/HyOHz8u23kpFArMZjMGg4GAgACqq6spLCwkKyuLL774gr59+zaY9/R4PHz44YckJSXR\nq1cv+bjdbmfZsmV07NiRyMhInE4nI0Y8xPibcnmwSy0b9u73ldwyYhb9+/fH39+fiIgIOeFZrVYU\nCgVGo5HQ0FCqq6vRarXyvDMg26PV/e3yaTdfOVxqD/P0eY8barFd51i/fj0vvvgiarWa8ePHM3Dg\nwMs63/fff09WVhaBgYGkpqZesr5tZWUlX375JS1btuSmm24CYMOGDfz0009MfW0sNzjfwKAV+fJH\nBaMW+qP201IrRdoQarUas9lMSkoKNTU1GAwG3G43TZs2pbKykuDgYF8Z9hrBtRqTxcXFtGzZkuzs\nbG644QZmzZpF7969vS5eLweZmZm8+OKLHDx4kFtuuYU+ffrQsmXLC35/RUUFR48epaioCJ1OR4sW\nLQgPDycjI6PeotdgMGAwGLBarZw+fdrrvOeuXbvIyMjg/ffflzkHdrud0aNHc+jQIZYsWYLD4WD4\n8OHEOr7h7zfXCqkPmS3w0KQvCQkJobKyEoPBgNFopKKiAqvVKpML645tVVZWysSfsLAw+fm68M1E\nXzlcjPj6c14OlwN7RFHcf+Uu6drHtm3bGDt2LKmpqbz77ruX7WiQl5fHd999h9lspnXr1pe1Wzt8\n+DAGg4GRI0ciCAJff/01K1asoG3btqz8Zhun9B56pQg8sUiHUuXdGUWj0eBwOOR5OavVilqtJjQ0\nlLS0NDQaDTExMb6d5Z+Mv0JMnjlzhg4dOvDJJ5/Qs2dPANlb9krAbrfz8ccfs2DBArRaLdOnT6d/\n//5e+5HekJ+fz4YNGzhy5AgajYa0tDSaNm0q39eNkeyqqqpQKpXyiIsEyVezT58+3HrrrfI1jhkz\nhi1btjBv3jzuvPNO7rnnHr766ivCggMY2tXJO185ePDFZSQnJzcYdfN4PPLc5fltIqmnCjTaFvGN\nmVw5XMwOs8Ov/3316+PbqXVIGCUIwr9EUZx+pS/uWsQvv/zCM888Q0JCAvPnz5dXm5eD9evXo9Vq\nadKkyWUnIKVSyYQJEzAajSxbtowNGzYw4o5k7NW5LNtSxE8uWLjDD53O+5yltHoVBEFe0YaGhiKK\nItHR0ZSXlxMUFORjw14buOZjMjY2lvXr1yMIgrwbKy0t9brDzM/P97oLyszM9Mo/kAQN8vLy6Nq1\nK/fffz9BQUEcOnSIY8eOeWXWnj17loyMDOx2O8eOHSM7OxuVSkVYWBh6vZ6qqioOHTokv97lcjUw\nRBBFUZ6trFsOFUWRHTt2APDSSy/hcrlwOBw8/fTTbN68mddee42HH36YZ555mlj7V8REBKLQmHh4\nscCAAXfRokULoqOjiY6Olr+vVI6VpO7O70dKJVof/hhcTMJsArQTRbESQBCEV4CvgR7AHuCKB6cg\nCLcCswElsEAUxam/9XqJCOMtuMrKyry6uRcWFnoVOsjJyWlQbjl58iTPPfccgYGBvPbaa5SVlVFW\nVsaZM2e8ijpLjf/zkZ+fL9v25OXlceLECdLS0qipqWngSlL3u10IWrZsidFo5OOPP2bnzp08Prg1\nM/r/glIQsdpj2HXCgcPhkFfO0p9KpRKLxUJoaKj89yGVXNVqNYGBgSgUCqKjo4mIiJDNaX1Egj8V\n13xMBgUFNSDGaDQarzwDjUbjNZFKNlUSSktLmTZtGuvWrSMiIoLXX3+dtm3b1nuP1WqVd151cerU\nKZxOJ+np6bjdbpo0aUJMTIyc6C7kmpxOJ263m+HDh9f73O3bt8tCJV26dMHhcPC3v/2NzZs3M3v2\nbB599FE2ffstiRVzefpBGHS0nNveqeGhh0aQmpqKXq9HoVDUi6mqqio8Ho884+zrR/65uJiEGQrU\nzSxOIEwUxRpBEK64srkgCErgA6AftYPYuwRBWC2K4pHG3qNQKBol9zQ2UG8ymbyyZAMDA+sJRGdl\nZfH000+j1Wr56KOP6hEJcnNzvQbn6dOnvaqE7N+/n5CQEDweD99++y1Go5FOnTqxceNGr6LUer2+\nwSIgISGBvn37sn37djZv3ozZbGbEiBGEhoby1VdfsXPnTt57eTgPxS0lQCOytziJb3ak4/Y0LDNJ\nAgX+/v4EBATIvRNphKRdu3bodDr8/f1l4QZf4F4TuOZj8kojPz+fUaNGce7cOQYMGMCDDz54Uabr\nhYWFsjJX8+bNvS6ufwuiKFJTU4NGo6FVq1by8YMHDzJ//nwSExO55ZZbAHjyySdZs2YNM2fO5LHH\nHuP7zZs5tXwAT99a27N8b4OKsWPHMXjwYIKDgwkICKgXUx6PB4/Hg9FolMutvn7kn4uLSZifAz8J\ngvAfaue8bge+EARBD1yNgOkEnBBF8RSAIAhLgQFX6bN+F5MmTcJutzN9+vQLZt39HnJycigtLSUt\nLe2iB7NLS0v54IMPKCwsJDU1ldtvvx1BEPjggw/Iysri0xmPMSR4AQEaD79UpHLzq+do175jowPa\nLpcLu90uWywFBgbKYyQJCQnk5+dTUVHBuXPnMJvNcl/EF7h/Kv6nYvLs2bOMHj2asrIy5s2bJ9v5\nXSi2bNlCTk4OFouFlJSUi66MSH67Ho+Hli1byu5ABw4cYObMmURGRvL888+jVCpZs2YNixYt4oUX\nXmD06NF8vWYNuV8P48l+buxOuHeuH5a0B3nooYewWCzyolOlUskxVV1dTWVlpVxybcy714c/Dhdj\n7/W6IAhrge6/HholiuLuX///b1f8yiCKWl1MCeeAzlfhc34XNpuN3bt389BDD9G0adMrdt7w8HCa\nNGnCgQMHLrgP4XK5sFqt5OXlERQUxPDhw2nRogUlJSX8v//3/7BarcyfP5+gjOcIiPSwMzeOHhMO\nk5Laml27dtXbXUp6lFLgm0ymeiw8qJ1ps9lsxMTEyH1NqVR9IaQf3wzY1cNfISbdbne9Ph/U7hK9\nVSXOnTvn9fjp06fZvXs3U6ZMwePxMGnSJAwGAwcPHvSqyQy189Jnz54FahPd8ePHSU9Px2AwoNfr\n5ecuBFIrRyLC+fn5YTKZqKmp4cSJE8ycOZOIiAiee+451Go1RUVFvPzyy7Rq1YoJEyawdOlSXh3/\nCPvfQk6WQa3u5/HHH5dbG3V3jxLq7ialik5lZaXcnvm9+UsfrjwudqzECXiodTRt2BD8EyAIwmPA\nY1CrRmO1Wus5I0goLS31OrtYVFTUQIkEaoNaMnbdt28fTqeThIQEcnJyGrD8cnNzvdLLz5elk1Be\nXi6fo0WLFtjtdrZt21bHMLY+pJWt3W7HbrcjCAJxcXEMHz4clUpFZmYmS5YsQRRFHn54JAsWLODA\nviom3x/NhI8z8dfV0s/PL8VKjgqRkZGyPVhwcDAGgwGXy0VgYCClpaWcO3eO5ORkwsPDZUcSm812\nQbtLX+n2quOaj8nzd0XeWgxQe394a0lkZWUxffp0/P39mTZtGrGxsfJzjc1xlpSUEBwcLJtLZ2Rk\nEBsbS3FxsdeYbEwQPjk5me7du7N9+3YOHjxIUlISN998MyEhISQlJTF27FiaNGnCmjVrsFgsAIwe\nPZri4mK++eYbvvjic5588kl69OjJbe/sxuhXRaubn+a552oJzkFBQTgcDrRaLQUFBfJvlFSClWJG\nijVvseeLsT8OFzNW8jTwKPBvass/iwVB+EgUxfeu0rVlA9F1Hjf59Vg9iKL4EfARQLt27USDweC1\nbOF0Or0GaWBgoNfdXXV1tRyMGRkZCIJAnz59KCwsrKcIArWEIm+9SsllocEXy86ud7xly5Z8/fXX\npKenk5iYKBMJqqurOXHihEwu8vPzo3fv3gwaNIjQ0FB69erF22+/zcKFC4mKimLNZ5Ng3zj6LCkj\nOaUd4xbsQxRrSzlVVVVyr1Kj0aDT6RAEgcDAQPz9/WnatClBQUHExsai0+nweDw0a9aMwsJCRFHE\narXW89i70MD09VyuHv4KMdmmTRvx/OcvBidOnODNN9/EYrEwffp0r1yB30JWVhYZGRk0bdqUNm3a\n8O23317U+yV7sby8PNq0aUO3bt0QBIHi4mLuueceVCoVS5cuxWKxIIoic+bMYcWKFbzyyit8++1G\nNIdeYPGEREbP3YsgqOjZ806572qz2XA4HPI8pSR3d/5IibR7lHaa5+8kz48x347z6uFidpgPA51F\nUawCEARhGrATuFrBuQtIFAShKbVBOQwYfpU+6zexZ88ekpKSMBqNMrv1SkKpVHL77bezZMkSdu/e\nTVFRERUVFZSWliKKIqGhoYwYMYLOnTvLhKb09HQmTpzIqVOnGDZsGFPHDiDk0P3oQl1MfSiCkbP3\nAvUJPgaDAbPZTFBQEBaLhZycHEJDQ4mKipL7kTk5OURERMhC6lLStFqtFBQUXLR2pW8G7Kriuo5J\nt9vNP/7xD/z8/Jg5c6ZXdazfg1T5kTSZLwYej4f09HQUCgW33nqrrHFbXFzM6tWr0Wg0/Otf/yIu\nLg673c7YsWNZtmwZAwYMICwsFMfOMb8SfDJ4JyyAuFY3MW7cOEpLS+X2h0TsqbuDrJvs6u4eAa87\nyfNjzLfjvHq4mIQpUOvmLkFydr8qEEXRJQjCk8B6ainsn4iiePhqfd5vQa/Xs3//fjIzM6/aZ0jO\n7sHBwZw4cUK28kpKSsJkMnHjjTcCteXZb7/9liVLltCkSRNWrVpF+1gHgfvvRefn5j8HdDz6Xi5A\ng36lWq3G4/EgiiIhISEIgkDTpk2JiIggISGByspK7HY7CoWCxMREueyUnZ2NRqNpoF3pw5+Oaz4m\n3W53A83jgoICry2MrKyseq9dvnw5Bw8e5N5776W4uFiWq5OQm5vrdWwLaqsqlZWVsqH02bNnEQQB\nj8cjt1q8fD/5T+k/rVbLbbfdhslkoqqqiqKiItavX49arWbFihUkJSVRUFDAyJEj2bVrF+PGjaN5\n8ySqtj4qs2EfmK8nIqknL7/8MtHR0Zw9e1YuuVZUVMgJT9pp1k123io0v1et8VV1rh4uJmF+Si0j\nbyW1QXkX8MlVuapfIYriN8A3V/MzLgSTJk1iwIABPPfcc7z55ptX7XMEQaBr16507dq13nEpkO12\nO5988gk//vgj7dq1Y8WKFRQdW4Np79/Ra0X+vcePB+e55dERaX5NoVDUK/VYrVasVivh4eGYTCaa\nNWtGYmIioijKYtMGg4GUlBRKSkrw9/eXCT6+ILymcM3HpFKpbLDAkrRZz4dU/YBasYLFixfTs2dP\nevTo4bXlcfjw4UZdfA4dOiTrrebk5BAbG4sgCJSXlzdoqUhITU0lOzubAwcOkJOTQ1JSEgMGDOCB\nBx4AasfBnnjiCYKDg1mwYAHdu3entLSUoUOHyjyCkJAQjiy+haduqU2Wg2dDUMtBvDR+PMnJyUAt\n2a+uKo+3ZCj9ef7u8UIWq76qztXDxbBkZwqC8D3/ZeQ9eK3Ib0mQ3Eq8DfmXl5d7PV5SUuKVJFRU\nVCQfV6vVTJgwgRdffJF58+bxxBNP1HttQUGB13MUFxd7JRpVVlZSUFDQ4LjD4ZDFk+tCoVCwbt06\n1q9fT2lpKXfddRcDBw5k5cqVfPj2eDa+ILD2gMC4lRaimgSQkZEhD4dbLBYMBgM2m01W8rHZbLJQ\ngdlspqKiAlEU5V5mfn4+TZo0oaSkBIfDUS/xXi58/ZUrh79CTF4q3nzzTTQaDS+88AJnzpy57PNl\nZmbKJKDzUVVVRUFBAfv27cNms6HRaOjZsyfJycmypvOqVauYMmUKYWFhLFiwgMjISKxWK0OGDOHk\nyZOsXbsWrVZL//79GX9XCDZHHkPmQKYjlSeGDSMuLg6lUikLEdhsNq8GD75kd23jdxOmIAhWahl4\n8qE6z4miKF4zukwKhQKTyeSV9ON2u73ujlwul9cb1O1212Ps3XvvvRw+fJjPP/+cu+66i27dusnP\nORwOr2QEm80mG9TWRUBAgNfxlNLS0nrD0NXV1axcuZIvvviCkpISunTpwksvvUT79u2Z9o9HmbXg\nK2JjY+n88hkSW3YnO+dHdLpai6SQkBC0Wi16vZ7ExETUajVWq5Wqqir0ej2BgYEkJCSgUqnQaDSy\ns4rFYiE5ORmdTkdFRQVOp5PIyMgrltx8/ZXLx18pJi8FHo+Hffv28cADD2CxWC4rYQYGBqJWq9m3\nbx9QW3kpKioiICAAURTlUQ2pPZGYmEh0dLQ8F+3xeJg+fTqLFi2ic+fOTJ06FYvFwtmzZ7n77rs5\nfvw4n376KVlZZ5n+8igslibMXmvlo2/AFNGKSZMm0qlTp3o9ysrKSvz8/C5KKcu30Lw28LsJUxTF\nhrWT/1FMmjSJH374gXHjxvH22283KJ1eSfzwww9MmzaNwsJCOnbsyKJFi+jevTs5OTmMG3ED7w8+\nQVudgQfmnEEQBPJ3/IggCLLakTQiotVqiYmJQaFQkJGRQU1NDREREcTFxREREUF5eTlGo5GYmBg8\nHg8WiwWVSiWvghUKhbwavhLw9VcuH9d7TEr3sDcpy4tFeHg4t99+O5WVlZSUlJCRkYHL5SI7OxtB\nENBqtcTFxWGxWGjfvn2990p2XKdOneJvf/sbY8eORaVS8cMPPzB+/HhUKhVr167l2283Epk7gz2v\nK7n7n8XsrvYntEkHRo0axeDBg+s5D9lsNjweDyUlJQ3mKX8LvoXmtYFL9cP8n4S/vz9vvfUWL730\nEqNGjWLMmDE89NBDV+z8TqeTb7/9ltWrV7Nr1y6aNWvG66+/TuvWrUlNTeWnn37i3X/cw5LHSjH6\ng59YhVolIKJEqVQSHh6OVqslLCyM5s2bY7VaSUhIoLy8XB6riYuLIyQkBJPJRHl5OW63G61WS2lp\nKXq9Xk6OCoVC7gFJYyZXYoXrKzn9b8HtdsvEGwn5+fleHUvqzjPrdDry8/M5d+4ceXl5Xmcni4uL\nvZKHoNYR5XzRdK1WS1BQkHw/ezwelEqlvNCsa6JQUVHB1q1bqays5B//+AdDhgxBFEU+/vhj5syZ\nQ0JCAl999RUff7yAyNwZtQQfl5tAvZKbbrqJXr160atXLxwOR72EKe0wpfnLC104elto+nadfzyu\nq4QpimK9ecO6sFqtXo+XlZV5Pe5NTB1qZxjnzJnDjBkzeO+991ixYgUDBw6kT58+DWjr5eXlXsvD\nVVVV9XqVWVlZbN26lR07dlBdXU14eDiPPfYYd999N35+fpSWlvLss89ydNsnrH9BwKCFlXs1PDDP\niUht6Sg0NJSgoCBEUUSv13P06FFZCMFisWAymeQykCAImM1mmjVrRlBQkCzqcP4MWN3kdj57zwcf\nLgTe3DSCg4O9inRERETIoyNmsxm32010dDSFhYVeWx75+fleWx5Qm0y8tT1Onz4tk2/OR+/evYFa\nP8tJkyYhCAJz585lxIgR2Gw2Hn/8cZYuXcrgwYOZP38+c+bM/m+ydMLQ9xQUqpN46MYbufPOO9Fq\nteh0Oll4ROIPeDweef7yQuFtoenbdf7xuK4SptTD9KYvKVHEvR1vTIC5Mbk6k8nExx9/zNatW5ky\nZQrvv/8++/fvZ+LEiTRr1qze+72x+KKiosjPz2fPnj18//33HDhwAD8/P26++WYef/xxevfujUKh\nQBRFPv/8cyZNmoSrpojM2UoMWjfrjpr52wdVOJweAgNN8vdu2rQpRUVFVFVVUVNTQ1RUFCaTiYiI\nCLnMqlAoUKvVxMfHExMTg9PplF1JJKUSb70VXynVhz8SFouFI0eONNidXk3Y7XYWLFjA559/Tlxc\nHDNmzCA6Opq8vDyGDh3Kzz//zOTJk3nuuecYP348jqNzeeWR/yZLZ8jN3HHjjcTExFBaWkpUVBQK\nhaLeYrPu7laKx0uFLyb/eFxXCfOPRo8ePfj66695//33+eyzzxgwYAD9+vWjTZs2+Pn5UV1dTUhI\nCH5+frjdbn788Uf27t3LyZMngdoEn5qayiuvvMKgQYMwGAxygj1z5gyPPPIIP/zwAy1btqS62sBj\n808x5q5YBr2dg0dUYDAYSE5Oxmq1EhAQgEqlIioqCpvNRlxcHImJiTgcDux2Oy6Xi8rKShwOB3Fx\ncbRs2VKWBJTcF6T5tAsZjvbBh6uJ0aNH88gjj/Diiy8ycuTIq/55Z86cYd68eZw5c4Y777yTp59+\nGr1eT3p6OoMHD6a4uJhly5bRq1cvBg4cyMaNG9Go4f/S4LNtCsSI/gweMIDmzZsTFBSEwWCol9Ck\nBAk0mL/8LfxW2dUXk388fAnzMqFWq7n77rsZNmwYs2fPZuPGjaxdu9bra/V6Pe3ataNPnz706dOH\nNm3a1NvdulwuRFFk9erV/P3vf8fpdPL60/3Zs3MDe8oj+PduFav25QG1pAg/Pz+qqqpkRRDJaK1J\nhlUAACAASURBVNZsNpOUlITZbMbpdJKamorb7cZut3Pq1CliY2PlgFWpVBiNRpxOJ1qt1utsmA8+\nXCqkUa+6KCkp8TpuVVBQIBN9goKCGDVqFHPmzEGr1TJs2LAGry8rK2tUvaeyspLc3NwGx6urq+vt\nWp1OJ9u2bWPXrl2EhYUxa9YsOnbsCMB3333H5MmTsVgsbN68GaPRSI8eN3J7QgbnmoWRcbaYe96H\nW265hdGjRhEREUFKSgoul6tBgquursblcl20RZev7HptwZcwrxCCgoJ47bXXeOmll+SdXFZWFiaT\nCYfDgcfjISEhAT8/P8rLy2nSpEmDc/z000/MmjWLn3/+mZSUFO7tF8dTrb7Bv71AzzdyKfiV6i71\neaKiokhMTJTnKoOCguRZr5qaGpxOJzExMdjtdmJiYigqKkKr1ZKVlUVWVhb+/v6kpKTgdDplFR/J\ne88HH64ElEplA4F0h8PhVbjAbrfXe+1jjz1Gbm4u//rXv+jXrx+9evWq93pBEBrtYVosFq89zIqK\nCtLS0gDYu3cvkydPJisriyFDhjB37lwMBgOiKPLOO+/w8ssv0759e/7zn/9QUFBAjx438voAK4/3\n9jDkZAFdXxFJS2vD3XffTVJSEv7+/nKyPF/eri5H4GJ2hr6y67WF6yphSuau3lBVVeV1NerNxQNq\nSULe+gvl5eUNvCsrKirqOcgrlUpZHaeuQonb7aampgabzVZvhX348GHefvtttmzZQmRkJDNmzODM\nni95qtU3GP1h3TEzB87WsgTDwsJkCa2AgADS0tIoKCjAbDbTqVMncnJyOHLkCAaDgcTERDQaDVar\nlWPHjhEdHU3z5s0xm82oVCr5+zkcDsrLy72qqfjgw5+JiRMnsn//ft58802cTid9+/a9aE3Y87Fn\nzx5ZMSsqKop58+bRsWNHDAYDNTU1jBkzhiVLljBkyBA+/PBDdu/ezbBh9zBjmIuHb7Bjd8K0NWqS\nk+MZOXIk/fv3x2w2yy4i0i62srKS0NDQeknvYnuWvrLrtYXrKmHabDYMBkM9Gndd1E1qEiSLq/PR\nmAycSqVqsDrW6/VeV8yhoaFe7YrcbjcGg4E9e/Ywa9Ysli1bRlBQEK+++ioOh4P1n7/Kv5+swugP\ny35S8vDHNVTX1LLq7Ha7zIht1aoVSUlJtGjRAq1WS1RUFOXl5fj7+xMcHCyzEaXk6PF4UKlUiKIo\nE3wkF5Tg4GAfNd2Haw5+fn6MGzeOWbNmMXnyZL755hvuu+8+2dHnQiGKIgcPHuTLL78kPT2doKAg\nRo8ezfDhw+U4z83NZejQoezdu5eXX36Z8ePHM3XqVN54YwoLnw7ivo6Vsp/lGVdLXnjhaYYMGSK/\nv64Vl+Q+Imkv+5Le9YHrKmEeP36cefPmMWbMmGv6x//48eNMnjyZdevWodPpmDhxIp07d2b06NHk\n5uaydnJTjP6nf02WatweQU5+gYGBxMXF0alTJ1q2bInT6aS0tBSPx8PJkycpKysjOjqaVq1aodFo\nKC8vJy4ujtDQUAoKCtDr9QQEBMgOCWazWfa59JV9fLgWERwczD//+U/+85//sHjxYp555hmCg4Np\n0aIFvXr1Ii0tzeuiF2p7lAcOHODf//43GRkZBAYGMnbsWAYOHFiPNX/s2DHGjx9PWVkZX375JV27\ndpXJPZFBCm5KLJGTZaYzlf/7v1tJSUnxyrw/f4bZh+sH11XCDAgIYPz48fznP/9h3rx5JCQk/NmX\nVA/FxcVMnTqVTz75hICAAKZOncqIESOYN28egwYNIj6+GRqNhiFTcxlxo5rPtitxewTZa89kMpGY\nmEhkZCQpKSk4HA7Z3Do2NpaQkBCCg4NJSUkhPj6erKws7HY7VqsVu90uM2ZVqtp/9rrlHt8K2Ier\nAY/H00AfuaysrFFdZ28z0SUlJSgUCnr06EGHDh34+eef2bVrF7t27WL79u2o1WpSUlIIDw+noqKC\n8vJyCgsLqa6ulgUPgoODuf/++2nXrh2dO3cGanumAFu2bOG1117DYrHw7bffYrfb6dKlC4WFBcTG\nxpCfX8AtM0SaWkRyhTQGDbqTZs2a4e/v36h7j6+Uen3iukqY8fHxjBgxgpdeeolOnTrx0ksvMXr0\naJRKJTabzWvvo7q62uvxmpqaBr1KqC37nj/nabPZvK40XS4XHo+HsrIyFi9ezDvvvENlZSUPPvgg\nr7/+Olarlfvuu4+NGzfyj1E3MSzhB+6aKZBdKvDx1tp/moSEBGJiYigvLycwMJC2bdsSGRlJeHg4\n1dXVxMfHU1lZiVqtpqamhpiYGKBWDEGj0RAZGSkzFRUKBf7+/mi1WllU/WL0LH3w4WKhVCobiBR4\nPB6vs8/SovB8KBSKel6Y7dq1Y9SoUZw6dYpz586xZcsWtmzZwpEjRwgJCcFisZCUlERMTAwhISE0\na9aMvn37olarcbvdcoyIosjMmTN59dVXad++PatXr+brr7/miSeeoEmTKN4Z7kEQcnjyUxe/ZEK1\nMp677upBamoq7du3x2w2+3aQ/2O4rhKmIAg88sgj3HHHHYwZM4YXX3yRzz77jAkTJjBo0CDZfLku\nFAqFV6EDSZT8fGi12gbH9Xp9g4RZU1PD5s2bWbZsGWvXrsXpdHLLLbcwY8YMVCoVkyZNYtGiRahU\nKm5ormRch00Y/eGxnjB+Se05EhISaNu2LX379qWyslKm3CsUCg4dOoRarSYhIQGz2SzrY0rKQFqt\nlsjISLkUC7XSfnX7mRerZ+mDD9cS1Go1Xbp0oUuXLkyYMAFRFOXFb1FRkVcmuoSSkhKeeOIJ1qxZ\nw9ChQ3n77beZNGkSn376Kf369WVAk+8Z09eN3Qn/3Agl7gjuuOMOBg8eLBPnGltkXohknU/W7q+J\n6yphSoiMjGTFihWsWrWKN954g4cffpjXX3+d0aNHM2TIkEap6JcLURQ5fvw4s2bNYuXKlVRUVBAR\nEcETTzzB8OHDadKkCePGjWPp0qVyku4c7+Gr59y/EnwUTPzSg1qtpnPnzvTs2RONRoPH4yEtLY1d\nu3aRlZVFaWmprNLjdDqJiorC5XJRWlqKwWBAr9dTUlKCVqulqKgIl8slz2za7Xbi4uIwGo1otVpf\n79KH6wYXyp7dvHkzjz/+OAUFBUybNo1+/fpx2223/boIVf2aLF3YnfC3eRo8hmbc2aMHQ4cOpXPn\nzr/7ORcyO+mbr/xr4rpMmFAbPAMHDuSuu+7i66+/5q233mLChAm88MILtGnThptuuol27dqRmppK\nYmLiJVHV3W43hw4dkgefd+zYQXZ2NjqdjsGDB3PPPffQr18/lEola9eu5Y477qCiogK9Xo/D4aBr\nkpKvnnPIyXLkAjVuj53WaS0JDg5Go9GgUCjIzs6muLiYiooKqqurCQwMxOFwEBwcTExMDAEBAeTl\n5WGz2eRZNskDU2LGGo1GKisrUSgUvt6lD38YPB5Pg1GvSxnlkvrudVFRUdHoYq+qqkpWspJgt9uZ\nPXs2ixYtIjExke+//55Tp07Rs2dP1Go1Wq2WGfe6GdPXid0J932o5XBZHF26dKZTp04kJSXJu8Lf\n+r24kNlJn5j6XxPXbcKUIAgCt99+OzfffDOZmZksX76cjRs38u6778qzkEFBQbRp04aUlBQ5SXk8\nHvz8/FAoFLhcLqxWq0woqKqqory8nPT0dFnFJCoqim7dutGtWzcGDhxIeHg4Ho+HH3/8kTfeeIMN\nGzbQqlUrXC4Xer2ewsJCcsugoEJg3UHh12RZW1K2WCwcPnyYjIwMkpKS0Gg05OfnEx4eTrNmzTCZ\nTLITg3SNoaGhpKSkyN9HoVDIjggS8cJoNPr6Lj78oVAqlQ1GrqRe+vlobJRLrVZ71XU2m81ex7YA\neUEp4dChQ4wcOZLDhw8zevRopkyZwquvvsp7771Hly5dOHz4MHa7nd0nRWp6wN1z4GhFFNHR4cTE\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0XDZ2u53i4mJcLhcOhwMppb6L9Hq9eL1eUlNT8Xq91NbW0tDQQDAY7Keog3Wn9p2cYDab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\nCoVCMQj+D1tmiB2tjgQCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x856c790>"
      ]
     },
     "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_GAMA12_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": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "pz2d_gal = pz2d_stack(photoz_pdf_gal, z_spec[zs_gal], photoz_zgrid, 5)\n",
    "pz2d_agn = pz2d_stack(photoz_pdf_agn, z_spec[zs_agn], photoz_zgrid, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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05XX7Dp7020Pdz0DGwcgcOnSJy5free65aYwZE5t8F4cPX+XLY9exWHTyugZH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Uk+oxNXywaWV7DGcOvupzKQyiD701jnMmSP2ew+No8v++L8oTvPH/QdXH9zOxs3Xo6u6zz//Euc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1193ce90>"
      ]
     },
     "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_GAMA12_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": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.07142857, 0.14285714, 0.21428571, 0.28571429,\n",
       "       0.35714286, 0.42857143, 0.5       , 0.57142857, 0.64285714,\n",
       "       0.71428571, 0.78571429, 0.85714286, 0.92857143, 1.        ])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gal_z_binedges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:76: RuntimeWarning: invalid value encountered in double_scalars\n"
     ]
    }
   ],
   "source": [
    "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 15)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_agn],99)), 5)\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": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GbWwWhGdYABvjMmKXpfcMC2Bj3MYG4TzDTsQwxm1sPWDPiNsWsJ2IYWKVnYrs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\nVkoph/w/P21nb3tcfTAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a13bb10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_z_bins, galaxy_statistics_vs_z[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_z_bins, agn_statistics_vs_z[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_z_bins, galaxy_statistics_vs_z[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_z_bins, agn_statistics_vs_z[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_z_bins, galaxy_crps_vs_z, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_z_bins, agn_crps_vs_z, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='lower right', frameon=False)\n",
    "\n",
    "Ax[2].set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Ax[2].set_xlabel('$z_{spec}$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Tw.set_xlabel('$z_{spec}$', size=12)\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[0].set_ylim([0.001,1])\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[1].set_ylim([0.001,1])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_GAMA12_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": 15,
   "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": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fbUeOxFpXR/YzzxhdzjEVllXzyKdrycwvI65ZKI+OTffb8D0VvjP/mwfTWpP7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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x930d4d0>"
      ]
     },
     "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_GAMA12_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": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sbp02cf47iIlbzmXHtwXknGFBdDJzoa8YG5LeUQ5mbtmOzzAY2787I3t1PKZv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\nuMysOi5cZladvwFKMll1gThGlwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1191a390>"
      ]
     },
     "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_GAMA12_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:780: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  keep = (tmp_a >= first_edge)\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:781: RuntimeWarning: invalid value encountered in less_equal\n",
      "  keep &= (tmp_a <= last_edge)\n"
     ]
    },
    {
     "data": {
      "image/png": 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NDatds5IrrlvE+NkFWqOA5Zt6EUHPMLH3+Na51iIAxsaNGZAtahtPYFDCpQg4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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x192b8fd0>"
      ]
     },
     "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_GAMA12_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": 19,
   "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": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "  \n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n",
    "\n",
    "galaxy_frac_sec_peak_nf = []\n",
    "agn_frac_sec_peak_nf= []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, n in enumerate(nfilts):\n",
    "    mcut = (photoz['nfilt_eazy'] == n)\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    galaxy_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    agn_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "\n",
    "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n",
    "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0rfUKkpP5+YILOPDWW4inJwPvuIPJH31EYJ8+rg5N68R0Um+B0rQ0ttx7LwBD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11917ed0>"
      ]
     },
     "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_GAMA12_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": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
