{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stripe-82"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stripe-82 Photometric Redshifts - V1 (20180515)\n",
    "\n",
    "Stripe-82/master_catalogue_herschel-stripe-82_20180307_photoz_20180509.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_stripe-82/data/master_catalogue_herschel-stripe-82_20180307.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_stripe-82/data/HELP-SPECZ_Herschel-Stripe-82_20170202.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",
    "| SDSS/SDSS           | sdss_u     | Yes    | Yes   |\n",
    "| SDSS/SDSS           | sdss_g     | Yes    | Yes   |\n",
    "| SDSS/SDSS           | sdss_r     | Yes    | Yes   |\n",
    "| SDSS/SDSS           | sdss_i     | Yes    | Yes   |\n",
    "| SDSS/SDSS           | sdss_z     | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_g        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_r        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_i        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_z        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | decam_y        | Yes    | Yes   |\n",
    "| CFHT/MegaCam           | megacam_g      | Yes    | No    |\n",
    "| CFHT/MegaCam           | megacam_r      | Yes    | No    |\n",
    "| CFHT/MegaCam           | megacam_i      | Yes    | No    |\n",
    "| CFHT/MegaCam           | megacam_z      | Yes    | No    |\n",
    "| CFHT/MegaCam           | megacam_y      | Yes    | No    |\n",
    "| Subaru/HSC             | suprime_g      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_r      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_i      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_z      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_y      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_n816      | Yes    | Yes   |\n",
    "| Subaru/HSC             | suprime_n921      | Yes    | Yes   |\n",
    "| 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",
    "| VISTA/VIRCAM           | vista_z       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_y       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_j       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_h       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vista_k       | Yes    | Yes   |\n",
    "| UKIRT/WFCAM           | ukidss_y       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_j       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_h       | Yes    | Yes   | \n",
    "| UKIRT/WFCAM           | ukidss_k       | Yes    | Yes   |\n",
    "| CFHT/WIRCAM           | wircam_j       | Yes    | No    |\n",
    "| CFHT/WIRCAM           | wircam_ks       | Yes    | No\n",
    "| Spitzer/IRAC           | irac_i1        | Yes    | Yes   |\n",
    "| Spitzer/IRAC           | irac_i2        | 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 in the field with cost-sensitive learning weights calibrated specifically for the full field.\n",
    "The two sets of filters used were:\n",
    "- SDSS ugriz\n",
    "- DECAM g,r,i,z,y\n",
    "\n",
    "Additionally, AGN specific GP estimates were trained and applied using the SDSS ugriz filter set.\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in 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"
   ]
  },
  {
   "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": 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_equal\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "photometry = Table.read('master_catalogue_herschel-stripe-82_20180307_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": {
      "image/png": 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waY6EbrbELjZQN5uISH0UfJop9rmKDv1urxVs1M0mIlI3BZ/GSOhmq/DOtZIJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7c70c50>"
      ]
     },
     "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_stripe-82_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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AWWedhdfrxefzsWvXLkKh0IhrJZNJYrEY2WyWTCZDPB7noosuYs+ePZx77rkj\nQib5JL1f//rXBAIBrrzySoLBIFarlR/+8IcsWrSISy65hHvuuQfg8FKU+crytB/AvG8ck+c5VegK\n8yTHO0FtH89dlF9GKxAIkMlkFBuvvr6eoqIiDAYDHo+HlpYWamtryWQyKtfS7XYTj8fZv38/u3fv\npqioiJKSEtrb29m1axdGo5F4PK5qVMo8sEQiofpmJhIJXnjhhSPTzYE777wTs9mMy+Vi5cqVeL1e\nYrEYHo+HD37wg8rlJO9BwfcnXVnqmDLGksV3Om46mtUtrxuLxWhtbUXTNGbNmkV9fT1bt26ls7OT\nsrIySktLSSaTmEwm2tvb8fv9JBIJotEokUiEAwcOIIRg165dtLW1jbh+LpdToY78v5999lm+8Y1v\nTPgeeuSRRwC4+uqrR+xft24dmqaxdetW7HY7VVVVbx3MpWHvTznRyhJ0hTltMVlFeCyo8uNda3R1\nHofDodIv8hOlpZKUFHW5GpSWJwzncEnWXUdHB/F4nEQigclkoqamhsHBQYaGhkin06qCiM1mIx6P\nMzg4qPInn332WebPnz9m5ZH8uTc3N/PAAw/gcrlYsGABuVyOoqIiamtrmTNnDl6vF4fDgdFofOu5\nCTEco5xz46GY5Wd0Zalj0jjWaSuTeQeEw2F27NiBzWZj5syZ6jyHw8G8efNIpVJUVVUxMDDAwMCA\nWlFWVFTQ2NiIxWKhpaUFk8lEWVkZqVSKZDJJe3u76psp+QowrDCNRqMiAMljkmB33XXXTXhPv/71\nr3nttdeIxWIqN/r8889n0aJFhMNh1q1bx6c+9am37lcIMJjhgueg4wmYee3bfaxvC7rCnKaYrPAd\nC5fPeNfK72SQz8iT3Qwki1WeEwqFiMfjFBUVYbVaVXJ0ZWUlLpeLV155hX379pHL5bDZbGSzWTZu\n3Eh/fz/xeFwx7QwGAzNmzGD37t0A1NTUcNFFF/HP//zPnHHGGSpeko/RuZk//OEPMRqNzJw5k4MH\nD1JaWorT6eS0007DarXS29uLyWSioqLi0M12wIufgjPvgcJTYdaXjvp56nhv4kiyOFVv0JHeAbKc\n3dDQkDpfMmBLS0upqalRhQlkSEK6UAOBAHPnziUUCqFpGg0NDezatUuVrBsaGiISiSijVhqoMi5p\nsVhIp9Nqn8Ph4OMf/zg1NTUTGrMNDQ00NDSQzWZVSorEAw88QCQS4YYbbhjecfA30PU0vO/3YCs7\n4coSdIWNdblWAAAgAElEQVQ5bTFZRXgsXD7jXUv+bbFY6O/vV6kjkkre1tZGcXExfX195HI5nE4n\n8XhcrRR7enpIp9PMnDmTSCRCOp3G5XJRWlqK0Whkw4YNtLe3U1tbe1iQv6SkhOuvv54PfehDzJ07\nd8J6smPhmWeewe12U1NTo6r5zJs3j5KSEkpLS/F6vUrhj4hZbv03OP9vR/EUdUwFJ6Km8Tt9zSPJ\n4mSM4Pw5jpbLsXIvrVYrjY2N2O12bDab8gblcjk6Ojro7++nurqarq4uYrGYqsrT399PNpultLSU\nRCJBV1cXoVAIq9WqPEiydKV0ueZDVu2S84pEInz+858fs6iIbP2VD0nMkxgcHOTuu+/mjDPO4Mwz\nzxwZs+z8LNT+0yT+A+88dIU5TXE0ivBYvxDkHMLhMENDQ8olm8lk6O/vJ51OY7fbKS8vB1D5YalU\nCo/Hg8FgIBQK8dJLL9HS0kI2m8Xj8TBnzhx27tyJz+fjM5/5DGvXrsXhcIy5csx3+eTvG31/+fuG\nhobw+XzU1dUxZ84cysvLmTNnDnV1dSopeyw2bNZ7Gtryh3Tq+HHAiahpfKILpU/GCB49x/x5jk73\nstlsWCwWXC4Xzc3N+Hw+ampq6O/vx2w2s3fvXrq6umhtbaWnp4f+/n4qKysxm810dXXR0tJCcXEx\nu3fvVp+RLtlYLEY6nSaZTKp+mFIGxzJeTSYTl112Gd/85je58cYblXE9GezZs4dPfOITtLS08Nhj\nj41Ulou+P22UJehpJdMe0nrLjyOMh6OlsE/2c7IxbGdnJ6lUCrPZTFFREblcjv7+fgYGBqipqaGx\nsVGVzOro6OCFF17glVdewe/3k0ql+POf/8zDDz/MD37wAx566CGcTudhKSFHSheZaJ905coyX4sW\nLQJQJIW3lGXnCGXZu+AhYhm9kPrxgEyBOJ41jfOvmS9XU5GxtwNpgOaXx5OrOXn9seaYyWQIh8Mq\nzi/nKfOc+/r6CAQChMNhfD4fra2t7Nu3T31OVs8ymUzMmDEDo9FIf38/Pp+P119/XblGZUk8TdOI\nRCKKeGez2UYozfr6eqxWK0ajEaPRiNlsRtM0PvCBD3DLLbcwd+5c1q1bp1am8mf+Jp/773//e846\n6ywGBgZ47rnn+OgpvSOV5XGq4DNZ6CvMaY6pWMVHcuFIjN4/luWbf468bltbG1u3blVuzt7eXoqK\niggEAmzfvl3lX0ombDQaxWg0Eo1GaW1tJZFIsHv3blKpFE888QQrVqw4dg8qD2+88QYAZrOZTCZD\nYWEh8Xj88IRqs3s4NmL2op3/DO6M9bi+wN/LONbs0aleUxJaJKbiKj1S7eT8z4xmsOYT6STTPL8S\nT/73L59DEAqF6OnpOSzvUirakpISFWvs6uqiuroau93OwMAAra2taqV44MABDAYDpaWltLW1qXZ3\nyWRSFVCXyhGGPTuSX3D99ddzxRVXcOWVV5JMJkmn0yPm8/TTT2MwGCgsLOTKK6/ke9/7Htdddx3X\nXHPNYW3zurq6uP7663nqqadYtmwZf/zjH5kxYwZ0p8FogwW3TjtlCbrCnPaYKpFgLNIOjE3mkfvl\n56SAj9UCKJfLsWXLFrZu3YrL5SKbzRIMBtm1axdVVVWUl5crN2t7ezvpdJpwOExtba3KB0ulUqru\n7MKFC9+R55VOp/nZz37GvHnzKCoqUjlrNpsNr9c7/BxiXcNJz2bPcLxSZDFYCjkx3Qx1HC3eTghi\nonJ1Y2G0zEzGkM2v7yoNU1mDWVa/kuQ5yULPl7uSkhK1EstkMmp+sVgMl8tFIpFQNVelwpUuW03T\nKCoqorCwUNVvHhgYoKWlBYvFgsFgwGKxMDg4iNvtpr29XTFos9nsiALt2WyW8vJybrrpJurq6rj5\n5pu56aabAA4LoxgMBrZu3QoME4++9rWv8eabb/Kb3/xmxLO5+uqree2114DhIu0zCg8Vb6/4IFyy\nG5x1E/7/ThSmrcLUNK0W+B1QDghgjRDi5yd2VscPY63wxsJYgptvxcJbpezGIxOMNVZ+CyApyNJ6\nlLFLm81GR0eHcv/IGKbZbMZqtSo2bSgUUn31uru7MZvNfOxjH+PFF188LKdsotjkZPbdd9997Nu3\nj1mzZnHOOefwoQ99iLKyMvXiItYBf78AnDPgvCeHlaaOSWE6yGT+9/jtxCRHG5dT8d5IJSYr6oye\nF6BWfqWlpUpZ5tdgzleS+QarTMWSIQ3ZCcRkMiny3MDAAJ2dncTjcebNm4fNZlM1nGUOo2yVFwqF\nKCsrUxV9nn/+eVKpFNXV1RgMBmpqamhvb0cIgc1mw2w2qyo+vb29wHB8MhqNjiDmLViwgJ07d44Z\nz5Ru3M7OTs455xxaW1tHHM9ms7z66qvE43EuvPBClpXugqf+Gc74FTR9cdoqS5jGChPIADcLIbZo\nmuYGNmua9qwQYteJnthEmKrVO975U00rya+8M9Zn811Qo8kEo8fKF2JJUy8pKeG0007DYrEQDAZJ\np9NkMhk2b96s3Dny84ODg0rQCwsLCQaDSohyuRypVIodO3awcuVKHnnkERVDGYthN5V9//jHP/je\n977HueeeSy6X4/TTT6eiokJZ4yLaDq99BmLNw82fcynAOe6z1XEYTrhMjjbq8n++k8hXetITk08e\ny58XoNppNTY2qnrMo+VLjpfPbJWMc5PJpMh2skiH5Bj09PSwefNmlc5RUVFBPB4nFArR19dHRUUF\nHR0dHDhwgMHBQRVnzGQyKl9aMmJ7e3uJx+PK+yPvtaioiGg0Sjqdxul0kkgkWLVqFZlMhnvvvZfW\n1lYlt5I7IOddWFhISUkJHo+H/fv34/F4RpD29u3bp/Kz/+cHF6O99n/QEIjkW91QpiumrcIUQvgB\n/6HfhzRN2w1UA9NaYU604htLiY6nGMd7GYweSyq2fIWYbwXnt92BtxRrfjECeMsilq4YSTaw2+1k\nMhm6u7vp7Oykv7+fcDhMOp3m9ddfp7OzU7XhcjqdzJw5E4/Ho7ocDA0NqdJz+dZ1R0cHTzzxBIsW\nLeLyyy/n1ltvnXLqSD5+/OMfs3r1akpLS9m7dy9XXnklS5YsUS7nMlcKXvkMhlizXsHnKDEdZHIs\no+54Qcqqy+VSLFVppObLnMPhwO12k8vlxgx9wFst8lKpFOl0GqvVisfjoby8nEwmQzAYVMcqKytV\n0XVZrUqWlTObzaoMXjgcprm5mc7OTlpaWojFYlRWVlJcXMybb77J0NCQmvfAwACBQIBkMkkmk6Go\nqAi3261qPbvdboqKikgmk+qdsGbNGlKpFEIIMpkMQghcLhdWq5VsNks6nVa5zW63W+VxyjisbOf1\n6quvAvDwDy+mcO/NyAo+2gms4DNZTFuFmQ9N0+qBxcCrYxy7DrgOGA4anwAcyd05nlLMF7B85TYZ\nBZuvCA2G4WbL4XBY9ag0GAyEw+ExhVTGJrq7u1ULrkwmQygUorCwEIvFoho+y3hHNBpV7YKKiorU\neIWFhWiaht/vV0WZZb3XcDhMIpFQMZf82I3b7cZkMlFaWsptt91GZWXlEauETIQNGzYwZ84c9u3b\nx+zZs5k9e/Zb1HYhMPzjk8MrS11ZHhOcKJl8J5XkkbxDo5V1JBJRiirfk2MwGKioqMBgMBAMBvH5\nfMybN28E8UW6Z6XCstvtSql2d3erlWFZWRkOh0OlhfT19SllVVBQoFI/gsEgbW1t7N27l8rKSpVy\nUlJSQjQaVQUILBYLQ0ND9Pf3q1VhbW2tUnC5XE4Zu/LcbDarSkxKxqskBtlsNhwOh6pZm06n1ftM\nxkJTqRQf+chH+Otf/0pPTw8333wzn/5gA5+s+SvTodzdVDDtFaamaS7gEeArQojw6ONCiDXAGoCl\nS5eK0cePBybKnYLxV4uyNZZUkvJlMJE7Nj9mkl+2KhKJqG4gsmRd/ipTEhBk14BMJkNnZyeRSASn\n08mMGTMoLCzEZDJhNpsJhUIMDQ2RyWRUK59UKkVpaSmZTIa2tjY0TcPj8WAymWhsbCSXy6masZWV\nlUogzWYzHo8Hp9Op7iEQCFBaWkpRUREXXHABq1evZsWKFYe19ZlsDDMQCLB3716MRiOVlZV4vV6G\nhobUaoAz/hu2roZzH9aV5dvEySCTR4MjhUFGK2vJUg2FQkSjUZUfmS/vMn7f19enXLPSDVtQUIDD\n4aC1tRW73U53d7diu6bTaSwWC4FAQMUnBwcHGRgYwOPx0NDQoHIqc7kc6XRahUksFosi5Q0ODuLz\n+chms5SVlZHNZlUj6JkzZ9Lf34/VaqWhoYHW1lasVivd3d3K4I1EIqrdl91ux+PxkM1msVqtDA0N\nUVBQgMViYWBgQBU7kB1SstmsKq7w+uuvc+aZZxIKhTAYDFx9091oVRvAWnzSKEuY5gpT0zQzw4L5\nkBDi0RM9n/EwUSxlotQOuRosKipSSulI4+UTBKSi9fv9RKNRysrKlMtFxjtkfmVJSYkqMCA/v2TJ\nElXObsaMGaRSKWw2G6lUiq6uLgYHB5VbVa4aS0pKVCsv6Y4RQmC1WhkYGCAUCjFv3jzS6bSKl1gs\nFqxWK36/n4KCAsxmM/F4nHA4jMlkoqOjg0Qiwc0338wf//jHw+53MjFM+RLweDyccsopzJo1i6Ge\n3dTE/wKn3QzFS4dXljreFo63TB7PikBTjYkaDAa1AoSRxc8lAa68vFwZoeFwmGAwiNlsVg2S5dbR\n0QGgPDmJRIJIJEJBQYGKJcJwrmRVVRXxeJx4PM5zzz3H0NAQAwMD+Hw+ZRCXlpbicDjIZrNqBSrj\nrzLf0mg0qqpbMm0lk8lgs9lUbrOMU5pMJsUyD4VCajUqOQ653HBjBEkGlGln+TVn9+3bx2fPhsLG\n8/noxReD9s6klb2TmLYKUxt+I94H7BZC/NeJmsdkBHa023N0+arxUjtkuyq1ChpjvPEgz8lkMhgM\nBmX9eTweFc90uVyYTCYSiQQHDx5Ubh8ZdykoKKCkpEQ1a25tbcXlcrFt2zZ27txJMpmktraWoqIi\nysrK6OzsJBQKsWXLFrWSlbUqvV4vZrNZEQysVqsqg5dOp2lvb8fj8WC323E4HEpIpcXpcDh4+OGH\nue2225gzZ86U/keDg4P4/X5gmMq+ePFivOYharq/jL2jEzzF0Pj5KY2p43CcCJk8VtV5JpNHOVl3\n71ipXKOLfsj4pmTStre3MzAwwP79+6mrq1O5lx6Ph8bGRtX5R3YPCQQCqmpWUVERg4ODimhTU1ND\nIBDAarXS19dHKBTC7/cr4l1HR4cqbD5jxgzKy8uVwVtVVcWsWbNUGklxcTELFy5UpfGy2Swulwun\n06nIcmazGbvdrhpNy/uSc5ZpMNIFG41GMRgMDA4OquehaRrXnKex9lqBsO6AZBBsJUf9/zxRmLYK\nE3gfsBJ4U9O0rYf2fVMI8fTxnMRUBXb0+RPVaZVBcDj6xGgpOG63W80vn4xgs9nYsmWLEsCqqio8\nHo+Kbch2WqFQSFUTSSQSOJ1OiouLSSQSyg0UiUTYtWsXfr9fWZ5y9ZrNZlWhgr6+Prq6uujt7cXr\n9RKPx4nFYjidTsrLy9m/f7/622g0YjKZSCaTRKNRKisrp/gfgttvv51kMgkMF2r/4PI5NDZfg5bp\nRBQuRqv5+JTH1DEm3jGZHO/7fqyYsEeTRznVsaTXJ78ogTSMOzs7R9zX0NAQdrudSCRCUVGR+vzA\nwADt7e20tLQoxbN//356e3sZGBigoqKCTZs20d7ezty5c6murqawsFCFdqSLtqenR/WXNZvNGAwG\nstksHR0dqq4zoFjvvb29FBcXEwgE6O3tVc2g5XvE7XareKt8T0gDWRZ/h2GDdWBggFQqRSAQUPd8\n9bk51n5RYDBAbu5Xhl2xJyGmrcIUQvwDOHra5DHCVAV29Pmjrdb8HEkZ7xxL6EZXCcn/bP7qVRJp\n8i3a/N6RkUgEo9GoYitWq5VMJkMmk1EuGCl0MteyubmZmpoaZs6cSVtbm1K8VqtVWa1Wq5UtW7ZQ\nXFxMeXk5PT09qnN7QUEBBw8eJBQK4XQ6qayspKWlhe7ubgKBANFoFE3TcDgc1NXV4XA48Pl8nH/+\n+bjd7inVjT1w4AB33323cm3Nb/BSu3clWqodUXg6mk7wOWZ4p2RSktFkiCJfXo4VyedIeZSTmaOU\nR0kmS6VSahUl5yjjfrFYjN7eXmbOnEkqlVL5kA0NDaqWa3FxMdFoVDVfP3DgADU1Nezfv1+9C2Kx\nmCoEUF1dTTgcZteuXYp/UFNTQ2VlpTJ40+k0BQUF1NXVkcvl0DQNs9lMeXk57e3tqga0bJQQCATY\ntWuXqvbj9/sVgcfpdCoGbCaTwel0KpKRwWBQMUsZHnG73cogf+qpp2hsbMTv93P1uYJfrhxWltmF\nd2CYf8vb/n+eKExbhXkiMVH1nCPhSOfLSh7JZFJRyfOLDEhFVlpaelitzdE5aFLoJeXc6XSqyjby\npSAZrRaLBZ/PRyqVIpFIqL6VuVyO2bNnYzKZiMViijQjWwUVFBRQVFREY2MjiUSCPXv2KOtTCMHg\n4CDBYBCLxYLH46GyspJ0Ok1paSk2m43i4mLMZjPRaJTu7m7VQcTj8aBpGiUlJQwMDHDw4EG++tWv\nTjkP85ZbbsFisZBKpVi4cCEfmB3HkmoHXVmeNMg3/N6pnMp8uQyHw6oiTn5d17E8PJIPIEl1gGJ6\nyzh/eXk5DoeDyspK4vE4lZWVHDhwgIMHDxKLxZRHZ2hoiPLycvbt26fyOKXbVcb/ZepWIpFg5syZ\n7Nmzh76+Pmw2GxUVFao+czgcpq+vjzfffJP6+nqGhobwer0kk0lCoRAHDhzAbreTSqUwGAx0dXXR\n3NzM4OCgUryBQACLxaKIPdFoVJXHk51NqqqqVM9Y2YhBMmql8S0NXIPBQE9PDy+++CLLly/n5Zdf\nxmox8oVzchgMkJ5/G+aF33xH/r/HC7rCHAPvZFeD/PqPMiE5/1ry97EUb76VnM+wlYF3p9OpyER9\nfX2KXOBwOFSuVTQaJRqNEggECAaDFBQUKOs5Go3i8XgoLi5WK+B0Ok0qlaKvr4/CwkLC4TDt7e0U\nFBTgdrtxu9309fXR2NiIpmm0tLQo69hoNKoiBxaLhYKCAqqrq1V/zFAohNlsVrmcH/vYx6b0LNev\nX8+jjz56qJ9fPZdccgkFS88jUnoJrjmf1ZXlSYL8/qrHktgznhKUzPJ8jC5JJ12qBoOB3t5ezGYz\nFotFKaF4PK5Ky8kV18DAgGp9J0k0fX19ykiUaSZyDjt27CAejytDUvaa7erqUlWxDAYDiUQCTdPw\n+Xz09/ertI7i4mJVICQajap+sv39/YqwI1NJEokEvb29RCKREeklkrgjQxrSEJWVuuT7o7S0VLl4\ny8vLqa6upru7W8VuZX1a+bxffvllALI5ja8/vYC/3fsl7PNP/h6zusIcA2Ml/h8rGAwGJZDyBZFf\nWEAy7SZiyI6eoyTewDA7r6+vj97eXqLRKE1NTfT19TEwMIDdbqe0tFQ1TXY6nYRCIbq6uqioqFBF\nyrPZrCIl+P1+enp6qKuro6SkhKKiInw+H+FwmIaGBqxWK6lUioaGBvr7+0kmk7hcLnp6emhvb1ex\nDovFQlNTk3L9SGr6Sy+9xMGDB/nDH/5AVVXVpJ6hEILnnnuOL33pSzQ0NGBM+Xniy71019qpqq4m\nV7kULHrJu5MF+SGEqRioR4rzjxdrdLlcVFZWjpAxacjK5sr5oQ6z2UwwGMRut1NcXKxieTDsls1m\ns1gsFmUgmkwmstmsKn7e29uL0+lU8h6PxxWBx263EwgE6OjowO12q3J0kk2bnxcZjUZVtaxMJsPQ\n0BButxtN01QxA/m+MplMmEwmpSBleEbyFaSy1zRNNW0HVKzTZrOpHGufz6cKDyQSCeV5ymazyvAv\nKioinU4zODhIOp3mmg8Y+NQywb/+Tzk//OkasnULjvr7MZ2gK8wxIJXY6MT/Y4XRL4ixYpSACrgD\nh1nKkrY+2pXlcrkoKiri4MGDNDc3Ew6HlVAWFxdTX18PDFuQTqdTxWG8Xq/qhReNRmlsbFQvmZ6e\nHvbu3UtbWxupVIqamhoqKiowGo3MmzePUChEMplk+/bt7N27V5XUk/GdVCqlVq1Op5OioiLKy8t5\n+eWX2bVrF08++SQXXXTRpHIuN27cyK233sqLL75ITU0NTm2A/12dpa4oQZn4I2nP1Sek16GOo8dk\neQKTZaCPN25+cQ/p3ZGQKSL5peokLyCZTNLd3a0aoBcXF6s4n0zqh2G53rp1K06nk8WLF6velLlc\nTqVvtbe3s2nTJvbv308qlaKpqUmt1ORq0eVyIYSgr6+Puro6+vv72bdvH4FAQDURkK5R2TVEKkSZ\nB61pGoFAACHEiBxN+RzHa2cm86adTicmk4n+/n5FOJKGgBCCgYEBksnkiDHa29vRNI0rl6dZ+0Uw\nGGDDJ76GZ8GC41K+8HjgPa8w32l23lgYPbacg3Slyi7osqu5PAaMUGLSuovH48qKLS8vVx0Icrkc\nbrdbFSTo7+9X6SWSrg7Q1NTE4OAgVqtVuWr279+Py+VSlrNMUo7FYjQ0NOByuejr66O1tZVcLscb\nb7zB9u3bSSaTypVjtVqJRqM4HA5VQSgYDFJeXk5zczPPP/88999/Px/+8IeBieOV27dv5+tf/zrP\nPvssFRUVmEwm7CLIX7+eoq4oSz/1RBffT01eXErH9MR45R2PhIkY6KPHlCvFfDdvLBZTyqm0tJTK\nykrFapUKMp/cI4uXyy4esnScZJV2d3ezY8cOQqEQ1dXVNDU10dzcrGTR7XbT09Ojql3FYjGEECST\nSXw+H+l0mt7eXkwmk1qpappGbW0tyWSS/v5+enp6FN8gFovh9XpJJBKk02nlTpXGQy6XU+P09/eP\n8BbJ94d8DhPJiMPhIJ1Oq/lKxZxIJDAajVgsFlWYQPa2DAQCaJrGynNyrL1mWFk+F/ggp3/kcyqE\ndDxyad9pvOcV5nhW6ttZWU5UrEBasFIwR1Pc5ZykMpTWqdvtHvGCkEUIZFcBq9WqzpfxyjPPPBOr\n1ariiH6/nwMHDjBnzhzq6upULtb+/fvRNI3i4mLlru3s7FTsuPLycqVcJUFAkh5krqesMiStT0lY\nkqvJkpISurq6iEQivPzyyzz//PN897vf5XOf+9yknumqVavYsmWLiilVeAXPfAPqi7N0xitoabiL\nBSV1J71AvhdwtByBsQzN/HKQ0tiUhcu7u7sBqKioUPKWyWRGJNMPDg6qajd2u509e/YghFCpHj09\nPRQXF2O325k1axaxWAy/308kEmH37t20tLQwODhIKpXC6XTS1tZGMBjk2WefBYbLT8pmy6FQSBHr\npBKT9VYtFgvpdBqj0cjevXspLi6mvb1duVnhLc9XNBpVDFiptIxGo0oV6enpUTFJeZ+ThazIlUgk\nVK1ZWbhdFjVwOByqtVh/f7+qL3vV+wRrrxkm+Kx9rRHTois55VDhkneKE3K88Z5XmEdaSU42H3Ky\nxQok7Vwy7vLjlfmWriyMLok9UjHKqkAy1hmJRIjH40SjUex2u5qP3W5X6R6dnZ0UFhYya9YsWltb\nCQQCeDweLBaLKoMn8yldLhczZ85UhAK5yk2lUqorQSaT4fXXX6erqwuHw0FTUxNNTU0qNUDWm3Q6\nnYo9aDKZVNGC7du3YzAYuPHGGyf9fyotLaW6ulopd2FyE0wYIGzgqfgNVIUyU3ox6DhxyP++y7DD\nRLKVn16V37dVFht3uVyqZ2tfX58q0FFVVUVBQQHd3d3Kc+L1ejEYDIRCIXK5HENDQxw8eBCA2tpa\nNm/erAqP+3w+Ojs7qa6uZv78+ezbt49XX32V7u5uCgoKCAQCmEwmKisrqaysZOvWrXR0dJDJZNi7\ndy/ZbFblTsoWWTLHUZZvbG1tHUHaMRqNxONxgsGgum9Z6g5QaWIwnMspcyylZ0a6TfNdzpJFng+5\nqs2HTD+RqSiSTCgNfE3TVJuw8vJyjEYjyWRSjdPWbyKSTPF/N3ip/fBwAZKJctFPRrzrFeaRFN5k\n0kAm0yg2v9nyeK6ifKKOyWRiYGAAi8Uy5lzyf8p4and3t1KM+UnSpaWlKkdyaGhIMfFOOeUU7HY7\ns2fPJpPJoGmaKhYt2wCVl5eTSCTYtGkT27Zto6uri7KyMlWuS+ZtScKB1+slGAyqclySLejxeKip\nqVFVfgoKClQtS3irp144HKaoqIgzzjjjsLY/Y8Uw5fG6ujqeeuopaoo1YikDFkcBP3p1IXNnN9J4\nygxFhZcrYR3TF/J7LqvX1NfXjyhMLiHzM0OhEABer5eysjIikYha+TU2NuJwOJScyN6R0vPR3d3N\n1q1bVd3V+vp6nE4nO3bswOfzqe+5pml0dHQQDAZV2UYZXrDb7bz++uu0t7cTDocJh8PMmDEDv9/P\n0NAQFouFU089VdVl9vv9KtVKMmMtFgvd3d2qck5XV5dqqyWVmxBCfY/zQxNyP6DikbLRs1SkEtLL\nlA9pxB5pnxCCQCCgFK6maSrkU1BQoLgS0pP0xhtvkEgkWNxoxR8r5KW9Qc68zU3pjIV81eFg9uzZ\nh3VpOdnxrleYEym8yaweJ2MdyZVgKpWiu7tbWcJyBZivTPNXhTI2IWMuco6jc8AAlRLidrvVlz0/\nnzMQCGC321X1INnrTtZrlW7empoalXM1ODjIjh07sNls+P1+fD4fmqZRXl6u2nrV1tZSX1/PwYMH\n8fl8+P1+TCYTVquVyspK5WqSpelOP/106urqCAQCJBIJgsEgfr8fq9WqUldee+01Vq9ePamcSxim\nutfX11PsSPD3b2oMxjRW/dmFp7CCJcsvpKysTOWK6Tg5IFeD0uMi5S+/64eUKVn6MZVK0dvbi8Vi\nIRqNUlhYqMaSxlJ/fz8Oh4PnnntOkVekYVpRUaG+gzIuH4vFKCgoYGBgAL/fj9/vVy5SWe9148aN\n7EQf3REAACAASURBVN69Wxl7Mr1EhgdSqRRPP/00/f39Kp9SxiM1TWPJkiUEAgHV4SOVSo1Y3eX/\nLtOxXC4Xdrtd1WGW/AKXy8WLL76olOhoxSqZq/LYVEIUMh9UKlKbzUYmk8FoNOL1eqmpqVGxU5/P\nRyaT4er3w6//T5L/+4qdr66BjmAO/+B2nnzySc4777x3XYjkXa8wJ1J4o5Xp0daXlAw7aQ1L2ras\nYhMOhwmFQsoShuGGzHKlKDsMyBWodG1KgbTb7Xi9XgBVpLmsrExV5pCM29raWlKplOq8Hg6H8fl8\nyjXqcrkoLCxUzLqWlha2bdumCiZ7PB6KioooKSnB7/fT399PQUGBWk3u2rWLAwcOUFVVpdh3Xq9X\nMWCNRiMzZszA7XbT1tamBF7GjgYGBhRJYKo5l/Hgfl74FjSVCXZ1m7DZLBQXD5fX8ng8FBYWjqjH\nq2P6IZPJ0Nvbq0IOZrOZ6upqXC6XWq3JwuGykXK+MSndiAMDAwSDQVpaWpQBKeP6drudl19+meee\ne47y8nKWLVuG0+nEYrHQ1dVFa2uryjvcuXMnoVCIRCLBwoULKSkp4cCBA3R0dODxeFSssre3V4Un\npLJta2vDZrMRDAYVwaiqqor+/n5g2MirqamhtLRUhUPk7w6HQyld2YZLhlXC4TDRaFQ1PJDMden6\nHBoaoqGhgc7OTpLJ5AgPjXzGAEajUblRbTabatgsYTabD/us/JyMhUpFLvkIcmUpC598/jy45/PD\nBB9/pw+jcXjMSCTCjh07VChIPo93A971CnMihTc633KqZITRCrasrAybzUZraytDQ0M4nU4qKipU\nmsXo+cgXhVRogKKWp9NpCgsLsVqtGAzDHdClxSd7WtbX1yviQzgc5s0338Rms7Fz5068Xi/RaFTl\nQBqNRjo6Oti8eTMul4uSkhJyuRzl5eUUFBSoTiQyxiMD/oFAgNbWVrWKlHT66upqRQCqr6/HarUS\nDodVp5NMJsNpp51GR0cH7e3t9PX1kUwmOXDgAI899hhLly6d9P8wFtjH5YW/pLEUdnRZ+Pf1y6hu\nmMHs2bM544wzFBlBx/RFLpejra1N1VR1OBxUVFSonGS73a5WnENDQ5SUlODxeMjlcuzatYuhoSGq\nqqqUa3/37t10dnZSV1enXJ9CCEpKSujt7SWdTiOEYNOmTfj9flKpFAUFBYTDYVUWzufz0dLSgtFo\npKenh5qaGoLBoHoHSM+QVNrxeFwpGSEEp556Kl1dXQDMnj2bpUuXsmTJEpYuXcrixYuVnI9eCY63\nbyrnyrqznZ2d9PT04HQ6VVnKoqIistks//Iv/8KDDz7I2Wefzd/+9rfDVqPjxfzzFalc1VqtVjRN\nIxQK0dzczOfP07jn81kMBvjm/2j86C8AabXQaGtrU31A302rzHe1wpxM/BKGWWXwlpKcbHB6tIKV\nCcMyibekpESNl89ylXPLb9gq51pSUqJo28FgUAl3JBJRPeckXfzgwYOKeCCbNQeDQYLBoCL25K8e\n5fmhUEjFPEtKSlRcJBwOYzab6ejooLW1FbPZrJSm2+1W+V9y9VteXk5dXR2NjY2Ew2GKi4uVyzn0\n/7N33vFRlWn7/56ZTGYmkz5pk4R0QghNOqJAKCJFBIUXCyiIqOiKDZXVtSOIrmVhWXx9rYCCIEVY\n2i6CIiBICS1AKOmFSS+TNiVzfn/E59kEgoLg/pDd6/PxI0w5c2Y4z7mf+76v+7qqqigpKcFkMuFy\nucjPz+f06dOsW7eOwYMH/2y/ssW/YWMj1ZtGEBfs5lCulkdXJxCTGEnHjh1JTk7G5XKRm5srR2f+\nW5a9+uB2u2X/zmw2U19fj1arlWxPq9Uqb/jNr9+kpCQ5aiU0kiMiInC73URERJCfn8/Jkyfx9fUl\nOjqaoqIiCgsLOXbsGLm5uTLgGQwGDAYDVVVVMiMUZgFCSEOQ9YTnZElJCfX19bIUKkYsLBaLDJIm\nk4l3332XcePGERkZCVw4EF5pCFa7qLIINP/8RYsW0adPHx599FFZHr5UeHl5SU1ZaNJu7tTmX2zY\nP32l/SlYtkRpaSm7du2ia9eukiB0LeCaDpiXmjFeanO6NXKPwWCQ2aBgup4rVNC87Np8RkrIYAUG\nBpKamtqiqS80Zh0OB3q9HrvdLl0NRDmytrZWSmd5eHgQGhoqM7+8vDyKioowGAwEBQVJbUsRZFVV\nxdfXl8zMTE6cOCHPVUh9AdKzU0iZCQq61WolMzOT9u3bywArKPFBQUEcP36cEydOsHbtWoYMGSK/\n64X6lS3+rtEw9f9cPD3YwMy1kfgGWYiPj6dLly5SWaWyslLeFP+Lqw9i8L2qqkre4Ovr63E6nbLd\nkJ+fT2FhIRaLRXqn7ty5Ez8/vxZZXlpamgyCQUFB7Nu3T7K4BZlNVVWqqqrIysqivr4eX19fdDqd\nvN6DgoLw8fGRIxrCLFmUMW02m9y8iXaJ2+3GZDLRt29fhg0bxtChQ4mIiPjZICRaJoWFhVitVlni\nDQsLw2KxEBkZSUREhNRVvtJQFIVHHnmE119/XSYFv4TmBCORUYrqmMjaj+TCy6sVXI0q//u9D8JD\n/NzvcOrUKWw2G76+vtfMRvaaDpgXQ9j5OSm6X0LzAFteXk56ejpJSUkEBgZK2rv4/HNLv2Ih+vr6\nUlRUJEuvnp6e5OTkyNGTyspKGhsbSUpKIjc3F29vb+rr64mLi5PlqcjISLy9vWVQjImJkXJYojxa\nVlYmHRPcbrdk6Qn5LOEWLyjlXl5eREVFyfeLkZOAgACqqqrkTSgwMJC0tDTKy8spKCjAaDQSEhKC\nxWIhLy+PgoICjhw5wurVqxk6dOgFf8vGxkYqKyvlDj8iQMXi+B617ePkVvky6LVc2rXTEvgTC1B4\nC4r+VGBgoBS6/i+uHjTv0TdvMVgsFgoKCqQZwNmzZ6VnanJyMunp6RQWFtKrVy+Cg4MJDAykoaGB\nqKgojh8/jl6vlzJtp06dajFS4uHhITdkwnxZkHy0Wi2VlZUUFhZKz0gBMc94yy23sHXrVikUMHLk\nSG6//XaGDh0qR7cA6f/YHFlZWSxfvpylS5dy/Pjxi/qNTCYTnTp1kiXd3r17k5CQ0EIY/twM7UKS\nna093rZtW+Lj49m3b598TEhaNv/ujY2NhIaGUlBQgMViISYmRrqgVFVVMa6HnRMFkJoNr68R72xi\nwY8ZM4ZNmzah0+loaGgAkHZ9zX+z3zuuqYB5bk3+Ygk7P6dE8UsiBCIYigUuFnfzYH2h0q+YQxNz\nYUIMWQwJu1wuKisr0Wq10gLI4XDg5+cn2aqirxIUFCR1W3U6nZzbtFqtMoMUwUWYyRYUFKDT6QgL\nC0NVVbKysiStXezIFUWRvpWRkZHExMRQWVlJZmYmNTU15OXlyZteeno6ZrOZgQMH0r17d7Kysti7\ndy8rVqxgxIgR5/325eXlvPrqq3zxxReSEAQQEQjbXwAlFDQaPYcOHWLTpk3ce++9VFRU0KZNGxIT\nE6WAfGBgIBEREZdyqfwX/yYoioK/vz8hISFSKEN4QdbX15OWliZ7jmIG8cSJExQWFmKz2cjLy0Oj\n0chgmJubS35+fgtnj4SEBLKyslp4PIrRDJF5ijXhdrvJz8+XwVEM/icnJ3Ps2DFcLhdHjhxh0qRJ\njBo1ikGDBrWwsGoOEZTr6upYvXo1ixcvZtu2baiqyg033MArr7xCeHg4ISEhhIeHS9MBq9VKfn6+\nLCHn5eWRmprKxx9/zIIFCwDw9/dnxIgRPPbYY/To0eOiGeWtPZ6YmMiXX36J0+mUzwmlHoDk5GRO\nnDiBqqp06NCBv/71rwwbNkz2LVVVRclaBD/eDzo/bAP24tQGygrYsmXLePrpp+nbt6/M+AHMZvM1\noe7THNdUwPy1/zA/V7o9d8ZSPNa8BynKQP7+/gQEBMhd3oWCtXhOzJPZbDaqq6vJz8+XvZygoCBZ\n0g0ICMBoNEpGbGBgIB4eHhQXF8uFd/LkSfLy8qitraWwsFAyEI1GI4qi4Ha7pQ+e6NsIirjo7Vit\nVrnAbTabHFlRFIXAwEBOnz7N8uXLOXPmjPTB9PPzkzNaQjh69+7d7Ny5k/379/Ppp58yZsyYFv1J\nl8vF//7v//Lqq69SWVnJ+PHjiY+Px9vbm6ggDaO83sWHIg5kweylq/nbh+MYMWIEO3fu5JZbbmHp\n0qWUlJTQpk0bQkJCJOnjvyXZqw8iu8zJyZHOHKqqymsoMjISrVYrqyA2m419+/ah1+sJDQ2V6y84\nOJj8/HzatGkjZ5IPHz5MY2MjWVlZ2Gw2rFYrkZGRktUtxrcAKe02ZMgQDh8+LIlzABaLhejoaCZM\nmMDIkSPp2LHjeQSZ1nDgwAE++eQTli1bJs0I/vSnP3HPPfcQHx8vX3duJpqQkEBsbOx5erai5Jya\nmsqePXv46quvWLp0Kddffz1PPPEEt91223nvuRg8+uijUrdZfBeRtbZt25aEhARuuukm2rVrx5kz\nZ/jzn//MHXfcQXBwMCkpKUwd5EGKcQkKKmrys/gEJ8jj1NXVMXXqVCIiIrj77rsZNGgQW7duRVEU\nTp48idVqvaY2s8qFLobfI3r06KHu37//F1/XvN94rrJOaxmm1WrFZrNJ7UnheCCE0EUpUShfBAUF\nSbsih8MhM0lB6hG6koIhWFhY2EJVRIycCM1Jq9VKcHAwO3bswGQy0a9fP+x2O0ePHqWgoICKigpZ\navL29iYsLAxFUdBqtZKGL+S72rdvj81mIycnR1LV27Rpg4eHB35+fkRFRUmmrq+vL4WFhRw5coTA\nwEC+++47FEVh5MiRpKamUlJSQmxsLElJSfK7eHh4kJaWRk5ODsuWLWP06NFA003j0KFDbN68mWXL\nlnH8+HFSUlJ4++235Y2xrvQUSfnTMLgKaPDqwCfZdzHjudfx8fFhw4YN9OjRg6KiIkaNGkVqaioD\nBgxg3LhxBAcHYzabSU5OltJ+VzsURTmgqurFU4V/p+jcubP61VdfyZu1oijSyDg+Pp7g4GC0Wi27\nd++W6jYajQY/Pz+MRiPZ2dlSxLy2tpaIiAhKSkpIT08nPz9fKkhZrVY5ztVc41RVVUJCQqRMXufO\nnenevTudO3emY8eOdO7cWZLzADmK0RxCgQeamLPLli3jk08+4eDBgxiNRsaOHcukSZO48cYbcTgc\nLcRIACnu0RxOp7PVDZ6wwoMm278lS5bwt7/9jczMTNq0acOECRMIDw8nICCAkJAQAgMDsVgsUipT\niKI0h9gYbNiwgSNHjpCYmEi7du2IiYlh2bJlzJs3j5MnTwJN2XmXLl0ICQnB4XCQ5LmHv9xpQ6OB\nNzb6sjnvOsrLyykrK5PuRFqtlueff57w8HAefvhhxo4dK5nwK1euJDw8/KrPMi92PV5TGebForlE\nnbiYfikbbC4TJUgHggQjRkrS09NxOp0cPXqUqqoqOnXqJLM6cSyAzMxMqqqqZJ8gLCwMvV5PUFCQ\nHDxWFIWQkBAZmESptbKykmPHjkkyjp+fn3QOEM4CgvTT2Ngoy1eCbLF27VpZSlFVtYXjgo+PD56e\nnlJbs6CggM2bN6OqKu3bt+fFF19k6tSpREZG8uWXX3L33XcDTbJ1YrjcbreTmZnJP//5Tzp27Miy\nZcvYvHkz//jHP2QG2r17d7744gscDgcPPPAABw8eBODuvvDFH+BAFtz6l0zmvd+OHTt2MG7cOMaO\nHcuBAwcIDQ1l27ZtDBgwgKKiIo4ePcqgQYOk4HtzXIwwxX/x20Kj0cgKTWxsLKdOnaKkpEQyqIXy\nVE1NjQx6YtxJuG/k5eVRXFyM3W6noqKCM2fOyMF5IYpeVVUlNY5FVitGs/r378/w4cMZOnQoFotF\nnltrjNbWrpPa2lq2bdvGihUrWLduHQ0NDVx33XXMmzePu+66q8V1p9VqzzuGh4eHFPgoKSkhPDxc\nStqdi+bv9/f3Z/r06UybNo1//vOfzJs3j7lz57b6O0+bNo25c+diMpkuWL699dZbufXWWykvL2ft\n2rWMHz+e06dP07NnTx577DECAwM5deoU69evZ9++fSgKzHnDB40GtpYN4aAjALf7LHFxcXTr1o2g\noCDMZjOHDx9m1qxZ9OvXjxdffJFZs2YBTVKDYvN+reCaC5jNb5JAqzfMc7Vbf4nw05wYJMqxwrZH\nPJ+fn4/VaiUoKEj2NQoKCnC73Xh7e0u7rJqaGqlrKUqlfn5+WCyWFpqPwqdSKOg4HA5CQ0NlMPXx\n8cFgMMi+pwh2FRUVfP/99xiNRhmgfHx8iI2NldqxlZWVVFVVSUPZuro66SwiPsvHx4dvv/2W0aNH\n88EHHxAcHCxLzQ6Hg1dffZXExEQGDBhAcHAwBQUFZGRksG/fPmbPnk1+fj4jRoygvr4es9nMjTfe\nyKBBg+jatSubNm1i2rRp2Gw2zGYzNw0ZhNHLG5uq8teDlRwvD0fR72T8+PGMHz+eL7/8kpSUFG6/\n/XbWrVuHyWTioYceYtq0abhcLjnPV15e3sJT87c0Av8vLg4NDQ2cOHFCZo6COGY0GomKiqK4uJiG\nhgY56yts6MrLyyWBJzc3V1pbic2myGxcLpdkhgcEBFBeXk5ISAjjx4/njjvuoHfv3mi12ku6abvd\nTebO33zzDZs2bWLHjh04nU7MZjOTJ09mypQpdO/eXcpNngtVVTl06BC7d+8mPT2dEydOcOrUKZnl\nQtMmMyYmhqioKGJiYhgwYAApKSmtjl9otVpGjRrFqFGjcDgcLSy3ysvL2b59OwsWLGDt2rXMmjWL\nyZMnnxeMT58+zapVq1i/fj179uzB7XYTFRVF7969OXDggCQEmUwmRo0axe23jeHkqdNMWfQpnQJs\nLP3hG+Li4ujTpw9JSUnEx8fTvn17EhISMBgMDBs2jEceeYTo6Ggee+wx5s+f30IA/lrBNVeS/e67\n76iurpZsSfHnixUiaC703JylVveT6n5paanUhS0vL5fl1/z8fI4fP05iYiIajUZSyIVKhhAEEHOU\n1dXVeHl5SYk8nU4niQ+lpaUUFxdTWVkpnxcGswaDAb1eL735hO1Pbm4uERERrFixAi8vL2677Tb6\n9u3L9ddfT8eOHVssRLGzLi4u5q233mLhwoU4nU58fHykYLvT6eQvf/kLU6ZMkTcF8b758+fzxBNP\n0KVLFyZOnIjdbueHH35g+/bt9OzZkxtvvJHXX3+dvn37MnfuXLp37056ejofffQRixYtoq6ujoiI\nCLp160aXtmamJf2d1Tn92Jqm0q5dO6ApaK9bt47MzEyefvppOnfuzOTJk0lJSWHNmjVyFm/w4MGY\nTCZuu+02hgwZ0kJL9mrOMP9TSrLx8fHq9OnTcTgcJCYmoqqqbGGIIJiVlUVOTg4lJSW4XC7MZjON\njY2SG1BSUiJ76cKgGJoyp9GjR7N69WoMBgNjxoxh4sSJDB06tEVZ8pdEAkS7YPv27Wzfvp2dO3dS\nUVEBQMeOHRk2bBjDhw/nhhtukN6XwHkBs6ysjCVLlrBkyRKOHj0KNKnkJCYm0r59exITEwkNDaWw\nsJCsrCzy8/PlgL/YpA4dOpRbb72V4cOHy8z1QmXW5tf0nj17eOqpp9i7dy/du3fn3XffxWw2s3Ll\nSlavXs2RI0cA6NSpEwEBAZw8eZKioiKCg4O5++676d69O+3atSMiIoKAiq/xzP+C2p4rULXeHDt2\njL179/Ldd9+Rmpoq1cagidTVqVMnVq1axdtvv82iRYv45JNPuPvuu+nYsSP/+Mc/sFgsV32WebHr\n8ZoLmHv37v3FDBNav5nW1NRQUFAgxzaaB13BcBWKI0I82sPDQ45qiB6ecCgvLS2lQ4cO+Pn5tRCQ\n9vT0JDs7G71eT1FREeXl5VLvNTg4GKvVyqlTpyTJRxzb19cXvV5PVVWVFBtoaGggIyODgoICTCYT\nf/jDH5gxY4bsy1yMckhhYSFz587l//7v/3A4HPTp04fFixeTkJBw3vusVis9evQgLi6O+Ph4IiIi\nqKioYN++fWRkZHDHHXfwwQcfMGHCBBYuXIher2f16tU88MAD1NXVMXr0aB555BFWrlxJqI+T6cmr\nCTZUcaY6nKc396Bdu6QW/0bbt29n3759PPfcc7Rt25b777+fu+66i88//5x3332Xp59+muTkZJ59\n9lluu+22381YyX9KwOzcubM6b948tm3bRkVFBT4+PlI+TpRfnU6n1EUuLS2ltrYWRVHkfGTza1X0\nJZu7ZzzzzDNMnz4dPz+/VscqWhv/aGhoYPPmzXz99dds2LBBBsi4uDj69+9Pv379SElJkd6UrZFt\nhFXXt99+y5IlS1i/fj0Oh4PrrruOCRMmMHz4cMLCwqQsZnPU1tbKa7WhoYEdO3awefNmNm/eTElJ\nCR4eHvTv35/Ro0czdOhQoqOjW7y/NXUrt9vN0qVLefHFFykoKACaAlqvXr3o1q0bp0+fZtu2bbjd\nbjp16sTgwYPp2bNni+8WbFtPivFzFFR+1D5KrqY/iqLIjaz43llZWdTU1HD69GkWLlxIly5dmD17\nNikpKTz++OPMmzeP+Ph49uzZQ2Bg4FW3YT0X/5E9TLvdjsvlamEBdCG0Vq4TijxCbq75c8Iyy2Qy\nSVNaoZFaV1cnLYZOnz5NdnY2Pj4+hIWFERERIc2ZxZylKOuePn2aY8eOERQURHV1Nf7+/qiqSnV1\nNUajEa1WKwWo/f395e60urpaam9aLBby8/N58sknee6551oQGC4WFouF+fPn88wzz/DDDz8wduzY\nVktD33//PXfeeSc2m00ONB8/fpyqqipSU1NZsmQJ06ZNY9y4cXz00UcoisL69eu599576dy5M2+/\n/TaJiYkA+HvWMD15A8GGKlKzFV7eHovmHA6ERqNh1KhR1NXVcejQIW6//XZJCAGIiYkBmm6INpvt\nVzEI/4vfFmLkKTAwkDNnzlBaWsrZs2el3FplZSVlZWUA0vy8uTiHEPcQ7Q9VVTEYDNjtdqZNm8YL\nL7wg2evw8ybk0LTu33nnHd555x1pin7LLbdw8803079//1ZVaYQP5bk4duwYkyZNIisrC7PZzAMP\nPMDYsWPp3r17i9cJ/kFzeHh4yOvV29ub4cOHM3z4cOrr60lPT2f9+vWsXbuWxx9/HK1Wy9KlSyWB\nTrz/3HPSaDRMmDBBrj+dTsfIkSN55plneP/99/Hz8+Pxxx9n0qRJ7N+/H09PT7Zv386qVasAmNTP\nzZ/HVqAAf9vVhrLQYOLi7FJ4RcBgMJCYmCg31BERETz++OMcP36cHj168M9//hNAjptd7dnlpeBX\n32GUpl9huqqq86/g+VwW6uvrycvLIz4+nrq6OpkVtjbiYTAYpMybuBiENx8gxY/Fe/38/Kirq6O0\ntFT2zc4VRhCB0MvLS45tpKenU1dXh4eHBwaDQZZW6+rqpLamsOzKy8tDr9eTk5ODy+UiICBA+uf5\n+flx8uRJKioqJOFBNNxXrlzJbbfdJnffzdHajvvcx8R7IiMjGT9+/HmvUVWVefPm8eyzzxIfH4/R\naMRsNpOfn49Go2Hv3r0sXrxYEqLGjh1LZWUl3377LZMnT6ZTp0488cQTVFRU8OOPP6JXK37KLBs4\nkAU3v6lQZtuFr68v5eXl0nEFmno9TqcTLy8vpk+fTmBgIC+99BKqqvLhhx8SERGB0+nkwIED9O7d\nm549e17GFfT7xtW4JisqKti6dSteXl4kJCRIy62ioiJ8fHxobGzE4XDInnpjY6N02BED8M0hFLPS\n0tJITEy8pJvxpk2bePjhh8nLy+P2229nypQpDBo0qAWDVahu/RLWrFnDfffdh9ls5vPPP2fkyJHS\nkedyoNFo6N27N71792bkyJGMGTMGnU5HXFzcRR/Dy8uLxx57DJfLxcSJE1m1ahUzZ85k+vTpcm3t\n2bOHZcuWsXXrVuLj47m3v4YXBp9Go8Cb/wzkta/K8PFZeEGSUXPk5uYCEB8f3+K3FPZotbW1V2Vb\n5NfgVwdMVVVVRVF6KopyF1D102Mbr9iZ/QoYjUbatGkDIN0LxJ/PhVAJqa2tlTs9EWBDQ0NbiAuI\nEZC0tDQOHjyI2WymU6dO0qhWjKi43W4sFgs+Pj4cPHiQQ4cO0aFDBxITEyVTVoiYl5SUUFtbK4UO\nRKbq6+uLv78/6enp1NfXU15eTnl5ORkZGVJQQATl7OxsNmzYwKBBg4Bf3l3/3GMXeo3VauWJJ55g\nxYoVjBkzhpKSErp06UJdXR3Hjh3jwIEDLFu2jHHjxnH33XdjNpvp378/WVlZ3H///SQmJrJ8+fKf\nWHdNn+HEh/2nGygyw5A5UFnXtGGpra3lhx9+oH379nTo0AGtViuNbK1WK3v27OGTTz4hODgYl8vF\nN998A0BsbKyU7fpPxtW4JhsbGzly5AheXl74+/vLNSN68GIzJITXBUQ/H5A9e0C2OBITEy+6/FpV\nVcXzzz/PBx98QHJyMlu3bqVfv344nc4WbiiAtPZqjuZjIaqq8uabbzJnzhy6d+/OkiVLCAkJobGx\nUc6MirUuUFFRcZ5vpdgUnIuGhgb0ej1r165l2rRpRERE8Pnnn5OcnNziGM1/n+YQ94jGxkamTp3K\nypUrmTJlCjfeeKNko5eWlvLiiy9SUlJC+/bt6dq1K3ZDFbXOXP6R24mykIGMGJHFypUrWbRoESkp\nKedVrnQ6HdHR0WRmZjJ//nzGjx9Pp06dSE1NZdq0aVJswmazSSLjtUC8u9wa1jeADrj0OuBvACGU\nDP9S8BEkHbGIhNuHsNdp7gguAmzzGUuhruPp6UlkZCSVlZWyXCpUfoTVjjBEbtOmDRaLhdOnT1Nc\nXExcXJzMIm02G06nk+zsbKCprCgu/pKSEmpqavDz85PqOxqNRg5fa7Va6TxSWVnJ1q1b6dWr1xX/\nHV0uFytWrOCdd97h4MGDaDQa/P39OXr0KOHh4VLpR2S3wqpr/fr1jBs3Dg8PD+bOnYvD4eDziQZ1\ndAAAIABJREFUzz+X5AWDWoobHQ7Fjzvmg5cequr+9bm+vr5UVFRw7NgxysvLSUlJkeQQm81G9+7d\nuffeewFYsmQJjY2N6PV6fH19SUpKonPnzkDr/emrmQB0hXFVrUlhidWmTRupX+zj4yM1Y/Py8gDk\n6JYIjM3hcDjkGNThw4d58803pdfjL20G09LSGDt2LBkZGTz11FO89tprsvf3cyMgzSHY5W63m8mT\nJ/PVV18xYcIE3nrrrfN65sLHsjn8/f3PCxYeHh4tKikCBoOBw4cPM23aNLp27crKlSvx9/c/L4hr\ntdpWA6aHhweqqjJlyhRWrVrFa6+9Rvv27eXvmp6ezty5c6mtraVnz57ckGwiu6qO43U6Ht00iBqX\nkb59QwkJCWH//v3s2bNHlqrP/Z29vb358MMPURSFt956i9OnT9PQ0EDfvn0ZOHAgo0ePZv369dx3\n332/Snr0asTlBsyTwD2AF6ACiy/7jJpBUZRPgFuAYlVVO17Me4SQQFlZmTRRrq2tJTY2VtpWZWZm\nAk0Xt6+vr1w05178QvPVbrdL8+bExESsViu5ubk0NjZiNpspKioiJycHX19fwsLCJGU7OjqarKws\nDh48KMdNXC4XNptN3iDi4uLIzs4mMzOTjIwMKioqZAnYZrMRGRlJQ0ODJCUUFhZSUlLCt99+e8WD\nZXV1NYsXL+bdd98lOzubpKQkfHx8ZEYt5tv27dvH6dOnWbp0KaNGjZLvT0hIkOzAAQMGsG7dOsaN\nG8fLL7+Ml1JOP/sbNKJnp/4VnI0tgyUgv3tgYCBRUVGUlJSwY8cOdDod1dXVPPPMM9TU1DB9+nSW\nLFlCv379OHnyJD4+PowfP17eCFvrT/8HjZj8Zmvy16xHaAoCGo2G8vJyOYfp4+NDRUWFdNkxm81y\ntrh5ptkcQp1m7NixF33OL7zwAhUVFWzZsoWUlJSLfl9rsFqtrFmzBr1ez4gRI84LYpeLY8eOMWfO\nHNavX4/FYmH58uWSMXwpyMvLk33JGTNmsHHjv4oM27dvl0SqPiHpvHOTjUUHovnoxwgybDZqamo4\nfPgwRUVF1NTUoCiKvPc0R2FhIa+99hobN25k0qRJHD58mAceeACTyUT//v3Zu3cvAIcOHWp1NvT3\nissNmFMBK/AmcO/ln855+AxYwEUu+sbGRgoLCzl+/Dg1NTV06NCBgIAAdDqd7C14enoSExMjTV+F\nag8gS6t1dU13clFG8vLy4vjx4zLABQUFyfkvPz8/PDw8sNlsMkDX1dWh0WhkfyY/P5+amhoCAgJw\nuVz4+/tLZY20tDTsdjuHDh2Scl41NTWUlZVht9sJDw/H19eXmpoaqQU5ZMgQbrzxxl/Vrzz3MYfD\nwaZNm1i6dCnr16+XO0RFUYiJiSEmJka6mwjLpNOnTzN16lTuuOOOFudw33338fjjj3P48GHuuusu\nzGYzL730En98/B52vuKBt9lFObE4Xa2XThMSEiRhIj8/n23btuHl5YXD4WD06NHExMTQo0cPMjMz\niYyMpKqqCn9/fyIjI8nMzJSC1a2J7jefvRW96ms00/wt1+RnXMJ6hKY1KSoGGo2GnJwcqZwjOARG\no5GysjJpotwahMjG2LFjL6mfl5aWxqBBgy47WAKEh4fz/fff88gjjzBhwgSGDRvGe++9J629fi2O\nHz/Om2++yddff42Pjw/PP/88jz76qDRfFigrK2PXrl3U1tZSU1OD3W6X/Ij7779fVnJiYmL485//\nzDPPPMNf//rXFjJ9U6dOZcCAAZTte5u3bi9Ho8DJMzn88EMO0FRqDQ8Pp3379sTExNCuXbsWmbDL\n5ZJKRx4eHsyaNYuCggJGjx5Nx44dWbRoEWlpaYwfP55u3brx1ltvXdZvc7XhcgNmEWAA3MAV1yRT\nVfV7RVFiLvb1otTZfF4xPDychoYG6f4BTaMdYiyktrZWBkhhxGy1WnG73YSHh8uMUYgcCAd2MYsk\nskqxiB0OB7m5uZLYo9FoKC4ulnZDQhXI6XRSWFjIqVOnSE9Px+Vy4efnJxmA4mZSWFgog6XFYqG4\nuJiXX375svqVADt27OCLL75g5cqVVFRUSENpodnZq1cv/P398fHxoaCggE2bNsn5zA8//LDFfKb4\n/4QJE3jmmWdYu3YtAwcOZMKECYwf1RfHxhvw05RwIAv+sEpHXNIWpk+fTps2bQgPD8fHx0cKUQtr\nsB9++EESeE6dOkXfvn3p168fYWFhjB49Gn9/fyoqKqTNk9gUiYrBuVlkc/3eazzT/M3W5KWuR2ja\nhB4/fpzs7GyZaWi1Wtk/VBSFgoICWUrUarXnbQQFcaS+vp6ZM2e20ENtbTMorsfa2lqysrKYOHFi\nq1maw+E4r49ot9vP+/zmxtEdOnRg69atvP/++7z++uv06NGDF198kcmTJ0v3oHPXm+grCtTW1rJ1\n61b279/Pt99+S0ZGBt7e3syYMYMpU6ZI9rcgI1ZUVPDBBx8wb948eQ87Fxs2bGDDhg2yH/vQQw/x\n/fff88ILL/CnP/2JpKR/jWsNismhZ1RTsPxwbxzbS0K4/noFb29vTCYTffr0ka8Vc7P79+8nLy+P\nlStXkpWVRb9+/bjppptYsGABRUVFTJ8+nVmzZvHjjz8yZswYEhISGDduHAEBAf82j9B/By43YH4B\nOIBnaeqd/H+H2+2WJrX5+fkYDAY5ZmI0GqXsm6enJyaTSSrqCwjWrFAa0Wg0BAYGSm3Lqqoq6aZg\nNBrp1KkTdrsdq9WK2WyWRJXIyEjS0tJkllpUVERJSQlFRUVER0ej1+txuVzk5eVJDVjhJGK1WtFq\ntbK/4+HhQUJCAklJScyYMYMbbrjhVxFcVFVly5YtPPfccxw8eFB+byFgLoTUg4ODadu2LQCpqamY\nTCZOnjxJnz59WLJkSYsda3MEBgZy++23s3jxYiZPnsx1112HPvVBjJoSXL5dOBo8CQ+vVezcuZOz\nZ8+2ykgU/a17770Xt9vNkiVLmDRpEs8//zyDBg1i4sSJaDQajhw5Qt++fbFYLAQGBl70/OXFWL79\nznFVrUlxs3S5XFRXV2MwGKRkY1RUFDU1NXKt6fV6adTcHIIf0KdPH5KTk+Xjv7RBzMrKApoyw9b6\nfTqd7rzH9Xr9eUHUaDS2KL/q9XqefvppRo0axdNPP80f//hH3n77bfr06UOPHj3o168f1113HZ6e\nnhQXF5ORkUFubi4ZGRkcOHCAXbt2SbJT//79efjhhyVhrrGxUX6W0+nkgw8+YNasWZSVlXHbbbfx\nxBNPEBISIkfcjEYja9as4Z577mHq1Kl89tln8vw//vhjevbsycKFC5kzZw6333472trT+O6YgKJA\nXeJLjBv+BOOafVdx/9m5cyfbtm1j+/btVFZWyuejoqJ49NFH2bRpEy+99BI33ngjq1evpkuXLrz3\n3nvMmTOH2NhYjh07xl133XXNBEqByw2YMT+x8B5TFOXWK3FClwpFUR4EHgSkKr5GoyEmJkaaxQoC\njzBgbmxspKGhQRIQxC5VkISEvJaHhwcVFRXSR0+4IBw8eFCKDGRkZKDX66U2Zl1dHXl5eaiqisPh\nkOIC5eXl5ObmUlVVhUajITw8XM5benl5UV1djaenJ6mpqWi1WoYOHcrs2bPp2bOnlLX7tVBVlR9/\n/JEXXniBbdu2ER0dLUvV/v7+UrvT399fMmD9/f0pKSkhOzubnJwc5syZw4wZM86bJzsXb7zxBrt2\n7WLYsGFs2bKFTj3+Fw49S32nvzLeGMT4iQ8BTWM7tbW1cp40JCREln5PnDjB9OnT2b17N926dWPR\nokUMHTqUBx98kKSkJGpqajAajXTt2lXOsHp4ePwmJuG/Q1xVa1JsHu12O42NjZJNLsyaha+qp6cn\nPj4+OBwO+V9zdO/enR07dkiDgotB27ZtSUxMZPbs2TLbuZKIiYlh7dq1bNiwgbVr17J7927Wr19/\nwdfrdDqSkpJ49NFHGThwICkpKej1+vNeZ7fbWbt2La+88gqnTp1i4MCBzJ07lx49/jVX3zxru/vu\nu8nPz+e5554jOjqa2bNnAxAQEMCaNWuYNGkSDzzwAB999BH33nsvKZYHURrrKKkbjC49HYfDwb59\n+9i5cyc//PADJSUlQNP9dNSoUcTExKDRaCgrK2PDhg0sWLCA6667jq+//prBgwezYsUKxo8fL0uz\n69atIy4uroXq1rWCX630oyjKSOAuYCmgAPeoqnrnFTw38TkxwPqLIRl0795d/fLLL3G5XFgsFjw8\nPCSTNSsrSzqTxMbG4na7ycvLo02bNnh6euJyucjKyuLIkSPk5eWRlJRERESEXKCNjY1SPHn//v2Y\nzWYSExPx9/fn8OHDFBYW4u/vL91B2rRpQ0NDg3Qmyc7OlvqPvr6+kvQgAkd+fj7du3dn4sSJ3HHH\nHS1Yab+mN+l2u9m7dy+rV6/m66+/JiMjg6CgIOrr6wkJCZEegRaLhYSEBMxmM76+vgQEBGCz2cjK\nyiI9PZ309HQ2bdpEv379ftHJQSDj6HbWvjeGZxfbuP/++wkODkav1+Pn54eXlxeKotDQ0CCDb3V1\nNWlpaRw9epT09HTsdjtGo5GYmBhOnDhB586dmTNnDj179sTlckktUaHP+3tkv/4WSj//jjV5KesR\nwGQyqR07dsRisWC1WqmoqMDlcknDYkEqEeIEIjsSnq2A7GMD3HzzzaxevRpofQ2IYwrs37+ffv36\nceutt7J06dIWz7Wm4HOhsZLWnEXq6urOY8Tm5ORw8OBBTp06RVVVFREREURFRdGxY0fpCgRI4wYB\nVVX54Ycf+OKLL1izZg2VlZW0a9eON998k2HDhp23UT13LaqqyiOPPMKHH37IwoULuf/+++VzpaWl\nHF33DH9btIm/7zmfwCMQHh5Or169SEhIwGazSSa80KRWFIUePXowcuRI6uvr2bVrFz/++CNOp5Ne\nvXpx6NAhdDod9fX1TJs2jfnz58t/n6s90/x3KP0EAfVAME39kjmXcawrAkVRpBaq6EtCkyCBcFhP\nTk5Go9FIkYG6ujpqamo4fvw4ZWVlso8n5seMRiMGgwGz2Uxubi4WiwWXy0VwcDA6nY7Dhw+TkZEh\nPf9EjyE/Px9FUTCbzfj4+BATE0NjY6Mca8nNzSU0NJSTJ0/Ss2dPvvjiC/r169fq97qUfmVGRgYL\nFy7kq6++kr2hwYMHyyxMq9USEhKCyWTCZDIRGhpK+/btsdvtFBcX4+HhgcvlIj8/n6NHj7J27Vr6\n9+8vj9/aubndbs6cOUNUVBRGtYy2uQ/yzM02IqO78fD8lVIg/udgNpuJjo7mpptuwmw2s2XLFjIz\nMxk2bJikpQvBCJEhivGfazxjvBRcdWvSw8MDs9lMQkICFouF7du3ywpPfX09LpdLEuRUVZX/NRcU\nEUozbrdbZnS33HJLq2vg3M1br169eO2113j++ef5+OOPeeihh+RzQn2rOUSP9dzHWqusaDSa8x6P\nj49vISMHTUH83MDs6emJh4cHWVlZLF68mM8//5zMzEypAz1x4kQGDx4se7u/5KqiKAoLFiwgIyOD\n6dOnk5CQwODBgwEIqdnIUN9lDH3SxIGwrymt09PQ0IDL5cLhcKAoCpGRkSxevJiNGzfy9ddfo9Fo\nSEpKIiwsjJiYGFRVlQzaffv2odFo6NGjh0xIUlNT5fFCQ0O5+eabWy2D/95xOcIFi4BFV/BczoOi\nKMuAFCBIUZR84GVVVT++0OuFSkhwcLAURzcYDLI/53A4WpB8oCmYpqenU1hYKBm0gvVqMBjw8fGR\niyIuLk7qMNpsNoqLi9Hr9URHR8tRFqfTKc1wDQYDwcHBGAwGTp06JZ+zWq2S3bZkyRLuuuuuy86O\nDh06xBtvvMGqVavQarWMHDkSt9tNSEiIdKUvKiqSN6K2bdui1+ulZ2ZNTQ0mkwm73c6mTZs4fvw4\ny5YtY/jw4ed9Vm1tLd9//z27d+9m9+7d7Nu3D5vNxoCe8fxzphNPey5qQDfu/NMW7ny1qelfX19P\nTU2NZEGKGVOAw4cPc//995OamkpqairQZA00atQo+vXrR1BQEHq9XmaRvxe92H83fus1eanrEZCl\nvMzMTPz8/NBqtRiNxhZBUWRaLpcLLy8vOavcyufTtm1bXn75ZUaOHHnR5/3UU0+xbds2/vCHP3Dm\nzBlee+218zLDfydqa2tZtWoVS5YskR6zgwYN4sUXX2TMmDFS+vFiUVJSwurVq1m1apXckOzZs6cp\nYGZ+inb/gyiouJOfp2v7W4DzBR7mz5/PRx99xC233MKcOXMYMWIEkydPZvPmzYSHhxMeHs6JEyfQ\n6XR06tSJsLAwiouLMZlMaDQaWSZ3OBzceOONdOx40VNHvytcjjTe06qqvv1Tv+JW4JiqqjOv3KmB\nqqp3Xcrr7XY7e/fuJSoqShoau1wufH19pVKFRqOR5RWTySSzFlEu9PHxoaSkhJycHLp06YLNZiM1\nNZXAwEBCQ0PR6/WUlpZy6NAhCgsL0Wq1+Pn5yXITIAOjwWDAZDJhtVopLi7m9OnTVFVV0dDQwBNP\nPMHs2bMxGAyXVa7Ys2cPr7/+Ohs3bpT0bz8/P8niFYLwJpNJskQ1Gg16vZ7g4GDq6+vl+Xp5eUlf\nzN69e3PHHXec93nFxcWkpKRw8uRJNBoNnTp1YsKECXRvH8ogdRaedjc2j7Z4D9oCnk09IyGSfW4J\nSlEUvvnmG8aPH09sbKws1yYlJXHDDTdgNpulCITFYsHX1/c/SYDgkvFbr8lLXY/QlB0WFRXR0NBA\nQECAJN+JzEkETofDIe26BLtcQKfTSYJYVlYWLpeLjRs3MmzYsItqVSiKwtdff82MGTN47733+Oqr\nr3j55Ze58847zyu/tmbZ1Zp6kHjtuVmUyJjPfb/VamXv3r384x//4KuvvsJmsxEXF8err77Kvffe\nKxXKLlbeUnzO8uXLmTJlCg6Hg7Zt2/Lkk08yduxYOnfujOvUh+hSH0ZBxdlhFq74J+Cn0rbT6WzR\nPxX9xtmzZ9OxY0e2bNnCxo0bpWBDUVGR1AQODg7GYrFgt9upr6/H4XBgNBrp3bs3FouF4cOHExUV\ndd7vdS3gckqyYviop6qqtyiKclXoV4p+YX5+vpxXiouLw8PDA09PT/Lz8/Hy8sLDw4OysjJOnTol\njU7F2ERBQQGpqanY7XYSEhLQarVkZmZSXFyM0+mkuLiY8vJymbGKoeyysjLJkhVG0KWlpaSlpZGT\nk0NxcTFjxoxh1qxZku3X2mI4F6295sSJE7z44ousWbOGoKAgfH198fT0lApGVVVVaLVa2XsVUlbC\nh8/hcJCRkUFjYyMhISH4+vpSXFxMeno6e/fulXqtzVFaWsrw4cPJzc3lyy+/ZOjQoeh0uiYh6MJ1\n6PZAWqGeQa9nMbfmayZNmtTiOzS/uYgezLPPPktUVJQkfQhxCMF+Ff6WQgD7P2As5HJw1a1JIdQh\nBECEhGF5eTlOp1P2HO12u/RaPZfw43A4WoivR0dHM2fOHIYPH35RrQqtVouHhwcLFy7kjjvuYObM\nmTzwwAP85S9/Ye7cuS2OIxSEzj1ma2u0NbUdp9NJZmYmmZmZHDlyhL1797J3714KCwuBpn7s//zP\n/zBp0iT69+/fanC/2PbLokWLeOCBB7jhhhuYN28enTt3luM6qCrawnUoqNjbv4rS/lman6kY4REQ\n66ykpARFUXj++eeJjY0lNzcXp9NJcHAwwcHB1NTUkJ2dTXl5OYGBgcTHx+Pl5YVer6dDhw706tWL\ntm3bSp/ha21TezkBM1hRlJtpmvu63GNdESiKIgffKysrKSgokGVZkfGJHmNiYiKZmZkcO3aM+vp6\nwsLCZI9R9DXPnj0rsx5PT09UVaWqqorTp08DyFKjKPMKpRpvb2/Kyso4ePAgiqKQl5dHyk8+jtdf\nf32Lc77QnOSFXiMUNj7++GOMRqMMzn5+fvI8KyoqqK+vx8fHp8V8W2NjI3a7HU9PT9lXcblcOJ1O\n7HY7WVlZZGZmoqoqI0aMaHFeDQ0NjBs3jrS0NNasWcOwYcMAcDT8lA1EjsF1wypCtO3puPFh7r//\nfk6dOsXs2bNblTHTaDSsX7+eQ4cOYbFYCAkJITAwkIiICPz8/KitrSUwMJDa2lqZeVitVjlCInon\n/802W+CqW5NCq9Vut6PT6dDr9TIgCucR4XUpSrTCqUT0x5tDURRyc3PJycnh008/bUFuuRgMGDCA\n3bt3s3LlSv70pz8xatQoevbsydixY7n++uu57rrrztOCvRAaGxvJzs4mLS2NXbt2sX37dlJTU1uc\nc0JCAgMGDJCC6l26dMFgMFz2bOLGjRuZOnUqN910E6tWrWo5JuV2UVldQ22bPxMWPh535Fh+iWMv\nSIaFhYU4nU5SU1NlP1f8G4pScVVVlZwAELPqoaGhslXSXID+WtvUXs6Cmg0MBYSc/T8u/3QuD4IY\n0PyCFQzY6upqHA4HLpdLStk5nU5CQkLw9/fHbrfLRRsaGkpiYqIcqBdlpNraWs6cOUNmZiYBAQHU\n1NTg4+ODp6cnBoOBwMBAdDodRUVFREVFkZqaysCBA/nwww+56aabLuu7lZaW8sYbb7Bw4ULcbrec\nIRPkHUHkET6cqqqi0+kkOSk6OlqOcYi5t4CAAKmOo9FoCA0NJSMjg4CAALp169bi8xcsWMCOHTtY\nsmSJDJbU5WPYPoLGTrNRw0eiWkbgD6xbt46nnnqKN998k/j4+Ave1FatWkVQUBA33ngj/v7+tG3b\nVlqaNb+BBgUFyRnWhIQEQkJCKC4ubqHKdK0tzF+Jq3JNiqxRaCaLcqIoP4pNmyCgiP7lhYhiiqIw\nePBgHnzwQTw9Pbnnnnsu6ZwUReF//ud/GDVqFJ999hnvv/8+f/zjH4Gm8m/Xrl25/vrrSUhIoLGx\nUVaLGhsbqampkWIjJ0+elExeT09P+vTpw8yZM2nXrh2xsbG0b98es9ncol9/JVBXV8fjjz9Ohw4d\nWLNmTQsGr5rxKaV7Z9N7ZgUFpU0a1P7+TxAcHExISAhdunThpZdeOk/HNi4uDo1Gw8mTJ6XIg6Io\nsmXkdDoxGAyEhIRgtVrR6XTynijY/9XV1URGRlJbWytbXNcaLof0cxw43uzva6/IGV0G7HY7Bw4c\n4OzZszQ2NhIbG0tcXBwhISEcOHAAk8lEYWEhJ06cwNPTE39/f2w2Gw0NDeTl5clypcFgICAggLNn\nz1JUVITJZCIsLIzq6mp8fX3x8PCQtlsWi4WSkhLq6+sJCAigrq5OMsn+8pe/8Nhjj8nz+zUjPDab\njffee4933nmH2tpaeaGKQW9PT08SExPx8/Ojvr6e+vp6udOzWCzodDrJJNVqtVitVjlXKhjAWq2W\npKQkLBYLW7dulXNXAi6XiwULFjBgwADuvPOnKYW6fLTfDUGpyYD0t3BZhoPS9B6dTsfChQs5efIk\nM2fO5JZbbmnhWdj8uH5+fphMJiwWC5WVlWi1WjmeIyj+zUcODAYDWVlZnD17lri4OCld+F9cnWtS\n9P+0Wq1kZopSpqqqsiwrbtKt+Tw272EKbN++nZSUFCZPngzAxIkTgdbbFxdadzqdjoceeoiHHnqI\nkpIS9uzZw65du9izZw8ffPBBq/ZiQjIyKSmJQYMGkZycTFJSEl27dsVoNJ43ZtXc7Lo5LtSKuZgR\nsrlz55Kdnc3mzZtlORvgxIaZdLUvIMIAT9/Vmcboe6X/qLBP++CDD1i9ejV//vOfuf322+UxtVqt\n1IIWn6XRNHnPajQaGhoaOHv2LE6nE6PRSENDAwUFBWi1WsLCwoiOjsZisUi1IDH/fq3hipVsFEWZ\nAmSqqvrdlTrmpULsWIV3pa+vL3q9nr1795KdnY3BYKCgoICcnBy5w6qoqKCqqkqWYeLj46Uy0MmT\nJykvL8disRAQEEB9fT0NDQ2UlpZit9uJjo7GZDKRn59PTk4OiqLI3uasWbOYPn16i8V6sfOU0NQL\nef/995kzZw4lJSXcdttt7Nq1SwYHoRSk0+kwmUz06NGDI0eOyMDStm1bAgMDZXA5e/asDKSenp5y\nflGv12MymfDx8cFutxMQEEB4eLgkZECT919ubi5vvPEGdXV1KPUFmHaPRKnLwuHdCVuXJai2mhbf\nyd/fn7/+9a/07NmTJ598ks8++6wFwUIcW1VVcnNz0ev1UoS7bdu21NbWyhuTmHcTIhPCVPi/gfLn\ncTWsSREwmgc8l8vVIstsDpHNNYfT6Ww129y1axcpKSncd999mEwmaTB+sfKQzfuFoaGhjB49mlGj\nRqEoipynFiVJEeQFT0B8t4vpQV5sX/JCjzd/7MyZM7z11lvceeedUh+3vLyc5W8M57Feh9FoIM1j\nApNfWyDfLwzuAQ4ePMgjjzzCPffcw7Zt21i4cKH8Dh06dODIkSNyBMbtdktPYEVRcLvdOJ1OdDqd\nbOP4+vrSpk0bBgwYQMeOHRHuSg0NDddk1edntwCKotykKMqHiqJc99PfH/yZl68Hzpet+DeioaEB\nf39/unbtSmRkJMXFxezYsUNmKqJ02atXL3r16kViYiIBAQH4+/tTUFAgB4fXrVvHjz/+SGVlJW63\nm9raWnJycmQ5trlweUFBAVarFavVSnBwMFarlZkzZ/L888/LhSL+ExfeLz126tQphgwZwpNPPknn\nzp0JDAxk7969hIWFERQURGxsLFFRUQQGBqLVaiksLGTPnj0UFRVRWloqWaXDhw8nOjpaChYIUQCh\ntQtNQ9nFxcWsWrWKzZs3k5+fT0RERIvzmT9/PvHx8YwYMQKtqwzTnlvQ1GXR6HcdFV1XoDUGkZ6e\nTk1NjXSS12g0JCcnM3PmTJYvX84333zT6neHpn5zcXExtp/cEoxGIxaLRZKTsrKyOHr0KDabTVLY\nxeI8e/bsZZv2/p7we1uTFwoKV+rY33//PW63W4oZXCl4enoSGhpKUFAQAQEBUn/6Sjvhkh0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g0ODrJlyxY2b95MR0cHW7duxe12T5GhKxaLuN1u/v3f/52jjjqKT3ziE3I9qUT5Xtqfo6OjJBIJ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UFxeTlZUl+xter5eZM2dis9lIJBIYjUby8vKwWq10dnZit9tlj9NgMMg+y5GCm2++eei7GBks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\nfoPZF8eOvRUCGOs+AENz0ukyX7F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MpK+vj2uvvZb//M//lJJRY6Gvr481a9awdetWHnnk\nES6++OJ9trfp6enh4osvZtu2bdx4441ce+21mEymYfZdBwKffvopL7/8Mrm5ucyZM2dcPVC73c7l\nl18OwEsvvcRtt92GVqvl7rvvHkYCklBVdNtuQNvyGNHjXwDLwnEHy507d3Lvvffy1FNPodPpuOuu\nu1i8eDGLFy+msbERrVY76j1zc3MpLi7+UlgL7QlH4ppUFGVY1WHkYL2AxWIZ02fSarWmvTlnZWWl\nHd4XXpgwVKkQQiZarZbFixezY8cOKRACQ0o11dXVLFmyhMWLF1NVVSWrH4KgN5JcFIlEeOutt7jn\nnnt48803MRgMnHnmmVx66aUsX75c9vRSP5PX6x0mPdnQ0MDWrVtZv349dXV17NixQ7Zu8vLyqK6u\npqqqShogiGvcaDRyxx13cPXVV3PPPfdw/fXXy/dIW94NdqB96xQUSxnJFS/i8kY57cwLpbVaZmbm\nmO5MI++BWVlZrFmzhiVLlpCbm0tGRgZFRUUyQGo0mgmZWQrsz10mFwgBeQz1S+44IGd0CJFMJlmx\nYgVvvvkms2bN4uWXX5ZjIrvDzp07WbNmDZ2dnTz33HOsXr16nz0zP/30Uy666CJcLhd/+tOfOOOM\nM/bpdfaEwcFBHn74YYqLiykuLh43YWjWrFkYDAbuvfde1q5dy8KFC7n77ruHlaklPguWuqa1qBoD\nStw/+pg02L59O3fddRfPPvssJpOJ73//+3zve9/jgQce4KSTTmLy5MkYDIa053zcccdRXl4+rvf5\nEuCIXJOpN93xummkIhqNpv2d4BnA8PEOYbxQWFiI0+mUxxsMBiKRCGvWrGH27NnMmTOH6upqHA7H\nmGSZkS2YaDTKX//6V+6++25qamooKiril7/8Jd/5zneklnMwGExbtUkmk7z//vs888wzvPTSSzLY\nWywW5s2bx+WXX87cuXPx+/3SoODVV1/lzjvvlN6x9957L1arlfPOO49XX32V22+/nTVr1jBz5kzg\nc6ZrNBrlvvvu47zTlzCt5TtDFR+DHa+nj9NXX0BtbS3JZFIK4I/XT1b4js6dO5f+/n50Oh2FhYUT\num+Zin0OmKqqPgY8dgDPZRQURXkKOBHIVRSlA7hdVdU/jnW8kIwSSN1pCuTk5ODxeOTOb+PGjdx3\n331cddVVo6jt6ZR63nvvPS644AIUReG1115jyZIlxONxQqHQqOxHmOGORF9fHxkZGbz55ptcd911\nZGZmsnbtWqqqqoZllc3NzWRmZo56/s6dO0ft4pqamobdHFJfY/v27XK2cuXKldTV1Y2iyo8FjUbD\nAw88wNq1a7ngggu4/fbbJZ1fZKz5+fmcsGIFUwfuQ9f2EKrGQGTxkyTyTiUWCKQNdPF4nNraWn71\nq1/x/PPPY7Va+eEPf8i3v/1t3n77bdasWUNDQ4Okyad7jSlTpkhD66M4+Gtyb9fjgcZIz1gxEz1v\n3jwaGxvlWo/H48ycOVOS0ubNm8fs2bP32H7YHbxeL48++ij33nsvHR0dzJ49m4cffpiLLrpot+Xa\nYDDIunXreOWVV3j55ZdxuVxYrVbOPvtsVqxYQVVVFZmZmaPIQ1//+teBoXXd2NjI+++/z6OPPkpF\nRQU33ngjiqJw//33c8wxx/CrX/2KJ554Ytjz165dy+9//TO+6chEyfCjZi+gffojnHnquTQ0NJBM\nJveJZS+cjYxGI1u3bpVyluK+OZGzS9i/kuwNqqr+9rMG/9nAdlVVf3bgTg1UVb1kL48fRuhJJfPA\nEKFnwYIFPPfcc2g0Gr7+9a9zxx13kJ+fP+buMnWBPf/883z961+ntLSUF198kYqKCvk7vV4/qhRi\nMBjSBkyz2cyf//xnbr31VubMmcPjjz+OqqqjLjaTyZSW+arT6UapasTj8bTHbt++nc2bNxONRjnx\nxBPJz8+ns7OT0tJSeUwsFmP79u0oikJ2djY33HADq1evRlEU/vKXv/Cb3/yGSy65hEcffZSWlhae\neeYZ/vrXv7J9+3b5Gt85Cf7fdyCW1LAufDUzddWUmkxpg11jYyO//OUveeqpp7Barfz0pz9l6tSp\nvPjiiyxcuJB4PM6cOXPQaDSEw2FaWlpGZRg2m42zzz6bysrKCdsv2Vsc7DW5t+txH98D+HwERMxB\nT5kyhebm5mHrW1EUKioqKCoq4rjjjuOYY46hqqqKuXPnph1z2BdVs7q6Oh588EEef/xxBgcHWbFi\nBQ888AAnn3zybtsAbrebX//61zzyyCOEQiFsNhsnnngia9as4bTTTht2zaaWh0eisLCQuXPnsmrV\nKh599NFhm/LCwkKmTp06TItW4P984xt8u/gBstUm1OyFfGz9FecsP41wOCwVgfYWJpMJs9lMKBSi\nv7+frKwsbDYbubm5hMPhL8U63J+SrLjjLlZVdY2iKEeMfqWAWGzJZJKZM2fy6aef8q9//Yvrr7+e\n6667TgaN8ZQj/va3v3HppZeyZMkSnnvuuf0i4zzzzDNyRGLt2rVYLBY6Ozv3+fXGgs/n44MPPgCG\nSpfC9y71e+nv72fTpk2EQiHmzp3L2rVrycrKQlVV/vjHP/L73/+ec889l/vvv5+f/OQn3H///aiq\nyvHHH8/999/Peeedh9vt5t23/sVHzrv43cuDPPX2fdhsj9PV1TVqI9LX18eSJUtIJBLccMMNfPOb\n3+SrX/0qO3fupLS0VM6w7dixY0zCVX5+PnPmzGHKlCmYTCaCweCEH5geJ464NanRaIYFr+zsbClC\nkdpfBFi0aBE1NTXDfDAzMjKYNm0a06dP59xzz6WiooKpU6cybdo0CgsL0/bRd2euPFagSO39JZNJ\nXnvtNf7whz/w+uuvYzAYuPDCC7nmmmtky8bn86V971gsxj333MODDz6I3++XxurV1dXs2rULo9Eo\n54cF2traRo1+CZjNZqqrq6mrqwOguLiYwcFBKZ4g5DfF5xXrJ9vhgJP/THLbzTzffymXnfdV/n/2\nzjs8qjr7/687vWRaeiYhlSBIhAiKCijNxuIPVxQUEBQVFpXvKqvoWrHrqlgQXcUVRBRXEQsdwUWQ\nYgEp0gmhhRASUqfX+/sj3GuSmUGQoGjyfp48JJ+5M3NnuOee8znnfd4nLS0Nh8MRsSNWKpVRRRui\nIRwOU1VVJXcTZGVloVKp/vQ7Swmn4jCTBEG4gvq+r1N9rWaDZCznnXce69evl2uLBoOBKVOmMGLE\niKhpzuPhq6++YuTIkfTo0YO5c+ee0sVx+PBhnnzySbp37860adOaRXwgFkwmEwUFBRQXF7NmzRrW\nrFkTVU/TZDLRt29fWb0nEAjw1FNP8fnnn9O/f3/uu+8+evbsyfbt27n99tuZMGEC6enpqJRK2Pky\nKbk306HD3wmF7uTGjkv5cMUABg0ahEajiajtrlixAqfTyf/+9z969+7NoEGDKCkpQa/X43A4fjFl\nlpGRwQUXXEBKSgpOp5ODBw822i23cDmcB9sAACAASURBVJxxNimKIh6PR64vut1uOnfuzO7duxu1\nBlmtVhQKBcOGDaOgoIAOHTqQn5+P3W6PORz8ROuOv7QuPbZnzx4++ugj3n//fYqKikhLS+PRRx/l\ntttuIzk5udHxTTMnoiiyaNEiHn30UYqKiujRowcPPvigXFuEegJQtPRtRUVFzGtYyhxJu9COHTvK\nAa2kf6tSqWS7UQeOoDy4EPJvR0zsxvPrLuOBB27joosu4ocffoj5+WPVjxtCr9eTlJREfHw8VquV\nnJycP33NsilOxaCeBi4Hnjv295JTP51Tg9QaotVqUalU3H333XTv3p2LLrpIvuBPNi3z9ddf89e/\n/pWzzjqLzz///JTTDvfeey9+v5+XXnrptDpL+DllJQ1cLikpQaFQUFFRgdVqlRmMmZmZ8rls2bKF\nF154gY0bNzJmzBhsNht9+vQhPj6eJUuW0LdvXwDCoRDChvEIu15DPDgH8dJvKCsrY9SoURQUFDB5\ncvTNzapVqzAajXTr1o3y8nLmzZuHUqk8IZ1Nk8mEVquVheThxDV4WwjOOJuUpvpA/fWYmZmJ2Wzm\n+uuvp23btnTs2JGCggLS0tJi3nxP5wjCI0eO8N///pcPP/xQHs5+8cUX89hjjzFo0KATSl/u2LGD\n++67j5UrV9KuXTveeOMNLr/88mYdAlBcXAzQaKQeNB6uLrNhnXvwBOD2F75nxowZ3HDDDSxcuPCU\nzker1ZKVlUXXrl1/8f/rz4xTIf1sA7Y1+PuLZjmjU0BqaiofffQR5513njxXTrrYG6YsmhpArDFc\ny5Yt49prryU7O5uFCxcSFxcXldwD9QSfpuSTqqqqRg52wYIFzJs3j3HjxmE2mxuJJpeWlkZQ5EtK\nSqLWJw4dOhRBZqqoqIjaS+V2u3E6nZhMJjp06ADU10DT09PlY0RRpLq6mh9//JHJkydjtVp58MEH\nWbVqFStXrqR///68/fbbJCUl1X+Poohi4z8QjrFhQx3+SSgYYuTIkTgcDhYtWoRSqZRVUhpG1StX\nruTCCy8E4KOPPiIUCh2X2AP10X9ycjJarRabzYZCocBut2M0GqOzdVsozkSbTE9P5/XXXyc/P5/c\n3Fw0Gk3UG/dvOZe3srKSJUuW8PHHH7No0SJCoRCFhYX861//YvDgwY16qY/XnyiKIv/5z394+OGH\nMRgMvPDCC9x8880cOXKk2SfmrF+/Hrvd3ogctHTpUrZv386ll14K7hIUy/shOPfg0ran19BJ/Lhl\nLyqVii+++CIql+JkYLVa6dixI5mZmSQlJbXYEkizpWwEQbgFKBZF8evmes2TRXp6eqNJ4tFSMLHW\nmjrM5cuXy85y6dKl8g41GrkH6gviTS9Ko9EoO9GamhoeffRROnXqxN/+9reIC85ms0UQeRISEqLW\nSisqKiIchdPpjIg+oT6IKChorJMtKZlAvfN9/vnnmTt3LgaDgYkTJ1JYWMidd97J0aNHeemll/j7\n3//+83cmivU7y2POMtxjNoJ9AC88+yxff/01b775ZqP302g0coBRVVXFli1bGDJkCBqNhvfff5/C\nwsJG5KFYItsWiwWNRoNer0cQ6gfbpqeno9VqW2SkeyI4E2wyNTVVnmMKv61jbPie27dvZ968eSxc\nuJA1a9YQDoex2+2MHz+ekSNH0q5du5PK+FRWVnL33XezePFiLrvsMl5//fWItG1zwePxsGzZMm64\n4QZ5raioiKFDh9KxY0ee+OcY2VmW+dPpdEcRmriUmK1YJwuFQkFmZiZnnXUWHTt25Oyzz26xNndc\nhykIwmXAEOB1URQ3CoIw5piKRzTMB85t7hP8PbBz506uueaaCGd5Kpg9ezZHjhxh5syZZ0STvSiK\nzJs3j/vuuw+Xy8Xo0aMZN24c8+fP55prruGss85i7ty5dOrUqXGA4T0CBz6RnSX2AcyfP5+JEycy\nePBgWeQgGtauXQtAjx49OHz4MD/88AMKxS+PFPL7/ZSWlpKXl4fdbken08nfYWZmZoshHMAf0yYb\nEnCiZXiOtw6xyTqx1gOBAIFAgJUrV7JkyRIWLlwoj7Tr3Lkz999/P3/5y1/o2rWrfON3u91Rd2G1\ntbURGaWVK1cyduxYamtruf/++7nxxhvx+/2UlJQA9a1q0c7r+++/x+VyEQwGKS0tJSkpCb1ej0ql\nitnmlZCQwLJly3C73QwYMIBQKERtbS1Dhw5FpVLx2WefEVe3DMG5h92VZrr98xCXXDqQ5cuXN8p4\naTSamMIQvwS73c6FF15Iz5496dSp0ynvVv/I+KU79y3A7cDDgiDEA4XSA02nu4uiWM4ZUDM5Vbhc\nLoYMGYJOp2Pu3LnNFjVKRKNfO7WkOXHo0CGee+45vv76a8455xymTp1KmzZtuO+++5g1axZDhgzh\nP//5DwaD4eebnbQz0Kci9v0K0VEM9iv57rvvGDp0KF26dOGNN944bipq06ZNAJx77rls3LgROLFh\nz6IoUldXR2lpKVlZWVRUVOD1evF6vVit1j/04NpfgT+cTTYd6v5rCDkn0vZVXFzMokWLWLRoEStW\nrMDj8aDT6ejTpw/33HMPl19+eUyRC5VKFVP3WXKYfr+fZ555hsmTJ5Odnc0777wjlzkawuVyRbXz\ndevW4fF42LlzJx6PB6VSSU5ODoWFhY0mjjSEVqtl/vz52Gw2rrzySgRBYNiwYRw4cIClX35Jbm4u\nX32Vx9xZFj5e48Eb1kWtV3o8npMWVxEEgdTUVHr16sX1119PVlZWiwpOo+GXHKZDFMUa4F5BEJ4D\nzpceEEVRFAThfEEQhnKGTHeXmHgSQqFQRAooGAxG7PAkSnk4HOaOO+5g27ZtzJs3j+Tk5IiLzOPx\nRI2wnE5nRA2zpqZGptRLA4537dpFbm5uxOuWl5dH1EsqKiqipiirq6sjPoPL5Yqoa0K9Gor0Xj6f\nj9mzZzN79mz0ej1PPfUUN910E06nkxtuuIFVq1bxwAMPyELyEu1fABQb/wEoCBe+CHH5+DVZFG3d\nytVXX01qaiqffvqpXLds+t1KN6JNmzaRk5ODwWCQSQzR0uGxINVCpSk0TqeTw4cPk5aW1pJqKn8o\nmzyd8Pl8rF69msWLF7N48WJ27twJQG5uLrfccgv9+/fnkksukVs2fq0aF9RzDEaOHMn69eu56aab\nGDt27EkNLT969Chbt26lrq6OuLg4OnfuTFlZmTw+r0ePHrJSUEN4vV7mz5/P//t//49QKMSdd97J\nl19+yXtvPsMlnnuY/WYvbrjzFdq3b0+tZ6/M3ThVqFQq7HY755xzDu3atWP//v3Ex8fLQ6JbgqpP\nNPySw1zQ4PfHgKZSMssADfVSXL+7yLIgCBHRbNP/1GhDUlUqFVu2bGHcuHGsXbuWRx99lCuuuCLq\nKC+tVhuV9GM0GiMcqdVqlY1VGjhdWVnJBRdcENFY7fP5oooRRKth6vV6mSUqoV27dlGj52AwSEpK\nCvPmzeORRx5h7969DBkyhEmTJpGWlkZxcTHXXHMNe/bs4Z133olIqQqActM9CLunICo0KNreBpaO\nHDx4kL/85S8olUoWLFhAamoqPp8vwpE3HLn2008/0blzZ1QqFQcOHEAQBILB4HF3mZJ+rDScVqK1\nQ32q73gqK39S/KFssrmxf/9+Fi9ezKJFi1i+fDkulwutVkuvXr0YO3YsV155JTk5Oc3KQF+/fj03\n3ngjTqeTGTNmMHDgQPbv33/Cz1+7di3Tp0/H5/Nx9tln06ZNGwRBIC0tjb1797Jz505cLldUh/nh\nhx9SW1vLwIED6dWrFxs2bOD5x/7OsOS3Ear3kljyI/3792f58q+b1YHp9XqSk5M5++yz5e6DgwcP\nkpSUJAfFLXG3eVyH2YRltwa4qcnjp1Ua77eAy+XikUce4fXXX8dms/HOO+8wYsSIZn8fu92OQqGQ\n6xy/BXw+H++99x4ffvgh+/bto127dixYsICLL74YvV7PzJkzmTBhAqFQiMWLF3PJJZc0fgGJDXvM\nWYo9PwFLR8rLyxkwYAAul4tly5Y1UjyKBZfLRVFREcOGDQPqb3x2uz2mwLykIqLT6dDpdPKotEAg\nQHJysjy2TKvVtijDbQk22RDhcJh169Yxb9485s+fz08//QTUt1eMGDGC/v3706dPn0Zs9Kbj+04F\nc+bMYfz48aSkpLB48WI6dux4ws/1er3MmDGDb775hrZt22I2myNKPFLAmJKSEvH8nTt3smTJEsaN\nG8d7771HUVERCz+ZSt/wEyg9JazfCze8rsLp/7rZWLlGo5H4+HhUKpWsCpaTk0N1dTU6nY6SkhJy\nc3NbhKpPNJwM++RvwAeCILwniuKLDR8QBGGxKIpXNu+pnX5s2LCBG2+8kV27dnHbbbfx1FNPRY3y\nmgNqtZq2bdvyySefMGTIkNM+oby0tJRx48axceNGevTowVNPPcVVV12FSqUiGAwyfvx4pkyZQteu\nXZk5cybt2rWLSF8LG+5p7CztA4B6AtOePXv48ssv6dSp0wmdz/vvv48oilx00UVA/Uik/Pz8qA7T\nYDAQFxeHw+GgqqoKi8WCVqslGAxSXV2Nw+HA4/GQmppKZmZmi0wNHcMZb5OSqpSEWOSehgQeaRLI\nvHnz5NmtCoWCnj178q9//Yv+/fvTrl27Ruo8DdOtPp8vatkkFrEH6pV7mg4vf+aZZ3j11Vc5//zz\nmTx5MvHx8bKAwI4dO6JP6wF+/PFHqqur+frrr6murpZ7Tbds2UJRUVGjY48cOYJer5eJShL8fr/c\nynXrrbfStWtXnnhgLD08D6FVVLDpoIqBr6jxiWoanoZGo4nam3yiDtVoNJKXlydPMQmHw+h0OnJy\ncmTBgpMpo/zZcMIOUxTFHwRBuAB4RxCEr4A5QGegO9C8c6hOI0RRZMOGDcycOZM333yTxMREFi1a\nRL9+/U77e0+ePJmBAwcyfvx4Zs2addrYsqtXr+auu+6SJxaMGjVKfiwQCDB27Fg++ugj7rrrLl54\n4YXYDePWTqDUIfb4WHaWgNzScqKKSZWVlTzyyCP07t2bfv36ceDAATZs2BCRQpfgdrsJhULyrlKr\n1ZKcnExCQgJ2u539+/dTVVVFSkrKGcE4/r3wR7BJQRAaXV+SQk1D+P1+Vq9ezTfffMPKlSv59ttv\n8Xq9GI1GrrjiCgYMGMCAAQMiaoaxRAViEXhitYRBY91nh8PBmDFjWLhwIUOGDOGZZ56JcLSCIMSU\ns9u4cSM7duzA4/HQuXNnkpKSqKqq4uDBgxE7M6/Xi81ma9R6A/Dkk09SUVHBf//7Xz744AMEQWBH\n8RG+C1WQlRrHVS+JlNf4gEDE68XaYf9SS48gCJjNZjIzM0lMTJRnz0qzcDMzM+WMT0vFCd9tBEF4\nChhK/figzcAjwFfAlaIoRo7J+B3QNJoNBAJyFHjw4EFZ9mr79u2o1WoGDRrEpEmTMJvNUS8yr9cb\nYSiSzFdTuFyuCP1KSfNRQkFBAU8//TQTJkzgscce4/77f9bFrqmpiXAeNTU1USNih8MRQXLxeDxs\n3ryZN998kyVLlpCXl8drr71GZmamfF4ej4ebbrqJxYsX8+STT3L//fc3ksoLh8MIAHXbwXI25NxE\nMKkfCmM6NPhsUj1269atFBbKJM2oepShUIhHH32U2tpaXnrpJURR5Isv6rOKsRym9FqS+LzZbCYl\nJYWEhAT0er3cX5aXl9diI134Y9hkLDgcDhYsWMDcuXNZvHgxdXV1CIJA586d+dvf/ka/fv3o06cP\nOp0uKlHvdCEUCjF8+HBWrVrF888/z8CBA0+qjcLv97Nt2zYCgQBdunTBZrPFPDYYDBIMBhtlm0RR\n5O2332bq1KkMGzYMl8vFZ7Om0CEvjfc/nMPneiUmQxBXoHlbOwRBwGQykZ+fT2pqKnv37iUjI4Mu\nXbqQnp5OZWUl4XBYVm5qSWWQhjiZq/BmoJMoilUAgiAkAf8BXhQE4W+iKEZK0vzGKCoqIjExUW5w\n12q1cqP7li1bEEWRCy+8kClTpnDdddfJEWusfi5JYq8h9Hp91FRMXFxcBAFFFMWItTFjxrB161am\nT5/O+eefz5AhQ4Cfo7uG0Ol0UQ1O2m1JWL9+PS+//DLLli3DbDYzYcIEJkyYQFxcnEyMqa2t5dpr\nr2X16tW8/vrrjB07NuJ1ZTZs0VS45HNIuwLiMiKcWn5+PiqVil27djX6fgwGQ8T3tWHDBqZOncq4\ncePo3LkzUD+IukOHDuzYsSNm1KtSqTCZTGRkZGAwGLDZbASDQTQaDRkZGZhMpkbCEC0UN3OG22RD\neDweFixYwOzZs1mwYAFer5eUlBQGDx7MFVdcQe/evY/rYE433G43o0ePZsWKFbLudFlZ2Um9xsyZ\nM/F4PJx77rnH/SyiKMpBclZWlrw+ceJEpk2bRv/+/UlLS2Pifbey6jE1ZVUlDJikxBPUUuuB0xU/\nhEIhdu/ezdGjR4H64Fin01FaWkpubi6iKJKYmHh63vwPgJP52tuJoih314qiWAFcLQjC34BvgbOb\n++ROFl6vl1GjRiEIAl6vVx7v5fP5uOaaaxg2bJisrv974pFHHmH37t2MHz8erVbLX/7yl5N+jXA4\nzKpVq5g8eTIrVqzAZrMxceJExo4dG8G23bx5M8OHD6eoqIgPPviAwYMHR76gKCJs+AfC7tcQFRoI\nxyZOqNVq8vPzGyn0RINUK01MTOSxxx4D6tV+VqxYEbP+I0GlUskBg9lsxufzUVdXh0KhkHeYwWCQ\nqqoqOWXUAnHG22Q4HGbevHnMnj2buXPn4nQ6SU5O5uabb+a6666je/fuKBQKuR4ZLdPj8/miTh/x\ner1RWdISc7YpHA5HzDTqrl27GDduHJs2beKRRx7hqquuorq6mv3790d9ztatWyOCvYMHDzJnzhys\nVitVVVVUVVU1elwURblO6XQ6CQaDmEwm1Go1oiiyfPlypk2bxogRI3C5XPx3+iS+f8aA3eTG6dNh\n0Cnxe46JrKvVUbMrSqXyV7WVaLValEoldXV1JCQkkJKSgtFopK6uDqVSidlsxu12U1ZWJus5t0Sc\nTA0zqhSFKIpvHauf/O4oKChgypQp8t+xdGN/b6jVat555x0GDBjArbfeSmJiIgMGDGDEiBG/yMLb\nu3cvs2bNYt68eTLN+7HHHmP48OFRL+KlS5dy4403YjKZWLhwIX369Inc1Ulyd5Kz7DkH0gdEvFZD\n9OrVizfffJOnnnqKhx56KGIXGgwGGTVqFGvWrGH69OmyE3/mmWcIhUIYDIZGKdxo5A2FQkF5eTlK\npRKj0UhOTg45OTnytAZp+ntLxR/BJjdv3sw111yD1Wpl8ODBXHfddfTt2zciaD2eyHms2qNGo4m6\nHqv1S6vVRk2v7t69m2HDhlFeXs60adMaBbB6vT5qrd7r9TbKCPn9fubNm4fVaqWmpoaampqI5/Ts\n2ZNbb72VWbNmsXTpUgYMGMD111+PWq3GarUyceJE8vLy2LlzJ4eKvmfzS/HEq6tYvxcuf85HrUfR\n6P2jOcZYo81+CTqdjvz8fNLT0zEajXJvc1ZWllz6sFgsUbWtWxJ+1VZLEIRh1A+oDVGfyZsHFB33\nSa1ohMTERFatWsVXX33FRx99xKxZs5gxYwYFBQV06dKFNm3a4PP5MJlMsiDA4sWL+f777xEEgV69\nevHwww/Tv39/mWXXFO+++y7jxo2joKCAuXPnNhJcb4R979VPHTlBZwnwwgsv4HK5ePzxx3n99dfp\n3LkzBQUFdO7cmU6dOvH888/z8ccf8/TTTzNy5EigPnX86quvxrzR6fV6uU9WYuNBfSpPkg+Tbl77\n9u3DYrHQsWPHFi3VJeFMtUmz2cy0adO4/PLL0Wg0v2k98kTw/fffM3jwYBQKBZ9++ildu3b9Va+z\ndOlSKisrueWWW5g2bVrUY0KhEC+//DKbN2/myiuvbJTpefTRR9m7dy+ZmZls2fIT+/9zFvHiTtbv\nhcuehTrv6a3VS0Pp1Wo1TqcTt9tNeno6GRkZco3VZDLJwiONpqS0IPzaK7eXKIqyErAgCK8DHzbP\nKZ0aGkZdTSdlQPTpA36/P2pEGo3EEmvQajSdRpfLFfVYl8sl78h69epFr1692L17NytWrODTTz9l\n/vz5EekcgLy8PO677z769evXqJ0jGAwSCATkzy6KIk8++STPP/88/fr146OPPsJsNsuRZwRTMWs4\nYtlXhNsMQbD/5WcZPIhpGEqlkrfffpu+ffuycuVKNm3axJtvvtno+3n66acZP348oiji8/n429/+\nRnJyMuFwOOrOX9p5SjuBcDiMXq+nQ4cOqNVqEhIS5J5PpVL58/SUVsAZapM5OTlcddVVv/dpREVx\ncTGDBw/GZrMxffr0RrMrTwZVVVV89913dOvWjdzc3JjH7dixg5qaGkaNGkWfPn2Aevt67733WLRo\nEfn5+ezevZuFCxeysmwdhp2Pcd/ndmo9pTTz8JNGsFgsciBqs9nk+6bBYJCnCblcLqqrqwmHw1RW\nVqLRaFok8efXOkytIAgDgIPUT3mPXhj4HdDwRhxNrT/W7iYW6aepI41F+gFipoGaQhCECLLK2Wef\nTdeuXfnHP/5BIBAgGAzidDrRaDSyxF9iYqI8qaNpH2c4HEatVuN2u7njjjt4//33ueWWW5gyZUpU\nMpIAsP15xOyRHKoKsa78WtYv+p716//Npk2buPzyy/n3v/8dc06lNKZp5MiR8g7S7/eze/duNm3a\nhM1mo3///rJc4ciRI9mwYQNqtVr+rhumhrVarRzMGI1G2ammp6eTnZ1Nbm4ulZWVuN1uXC4Xer0e\ni8XSIqPcGDhjbfJMRG1tLddffz1QL05wKmSjVatWIQgCvXv3Pu5x1dXV3HLLLfJxPp+PN954gw0b\nNnDxxRdTvPUbFr18KXM+ncN//vMOffv25VDFxmYfFSZBEATi4+NJS0tDp9PJogVQT/YpLCykTZs2\nxMXFcfToUfx+PyqViri4uFbhgpPEHcAg4BygBLiz2c6oFajVatn5nozAwerVqxk1ahTFxcU8/vjj\nPPjgg9EPFEVC6/6Oas8bbFv4CJ3uDxIW64OGjh3rlXxmzJjBrl27eOGFF+jevfsJvb9KpaJjx46N\n6rDBYJAxY8YwZ86cmP1xEqXd6/WiUChkdrJUPzKZTHIzenZ2NkeOHMHhcGAymVpklBsDZ6xNNuQN\nxCLqxFqHevZqLHJPNEJObW1t1Bt6dXU1RqORQ4cOMWbMGPbs2cOsWbNISkqipKQk6nP27NkT9b33\n7dtHIBDA5XLxww8/kJWVxe7du6Oev4TMzEwuvvhiQqEQNTU1vPLKKxw4cIBLL72UnRu+4odnjaTF\nLWPewnrG+ebNm2MGrM3hRCXpTqfTSVpaGhaLhYSEBDwejyzyYDAYOHr0KPHx8fj9fnQ6XYse2v6r\nHOYxssH70t+CINwP/Ku5TqoVJ4dwOMykSZOYOHEiWVlZfPXVV/Tq1QuIbFZ2u1zs+u8Auhi/wReA\n9zafhUq9G4VCQVxcHEVFRbKqzvbt2+nZsycXXXQR99xzD1dfffVJaXS6XC6GDh3KggULUKlUMWtX\ner1erlmqVCqys7M5fPgwJpOJ1NRU0tPTyc3NpaysDJ1Oh0KhQK1WYzKZWneYx3Am22TTrM/JEHgg\nNolHp9NFXZdayprCYDDw7bffMmbMGAKBAO+++64sWGI0GqMGX1Imoyncbjdms5mNG+t3gIWFhbLz\n7t+/vxw0rlu3jq+//prCwkIGDRrEsGHD2LlzJwMGDKCqqoopU6bwxosPsupxNWlxLtbvhf+uFfD7\n/fj9fgRBiEnuOdXZohJfQBAELBYL7du3JzU1Fb/fL6v8HDx4kNraWqB+tmlNTQ379u0jOzu7pU0J\nAn496efjhn9SP2LojDDOlobKykpuvfVWFi1axHXXXcfUqVOjTu5wuVy89dabWIomMvoSD/6QwA1v\nqFi6dZ9802kYtapUKpl0VFZWxnXXXUd2djZDhgxh8ODBFBYWHjfKraioYODAgaxbt+64zhIgJSWF\npKQkHA4HSqUSp9OJXq/HaDSSnJxMQUGBXFNRq9XodDqSk5PlPtNWp9lqkycCSRe2ffv2vPvuuyek\ngXw8uFwu9u3bR9u2bRvtTn0+H1u3bqW4uJidO3eSn59P3759EQSBH374gUGDBgEwY8YMXn12AnPv\ncpBpC7PpoIr7l3Si1rPptNYsJYRCIeLi4lCpVKSnp6PT6di/fz9Go5E+ffqgUCjkoEQSWXA6nZSX\nl5OYmNjqME8CdaIo3ib9IQjCv5vpfE4ZDaOxaC0ksUg/0ZiWUoT3S88HoqYppBTjiax7vd6IaLkh\nkachJILMl19+ybhx4ygvL2fSpEn83//9XyPlHqjffS5YsIBx48bhqSnhpxd1+IIw8m0jK3arafix\nDQZDBNs2Pj6e2tpaTCYT7dq146WXXuL5558nJyeHQYMGce2115KYmEhdXR3V1dU4nU5qamp4+umn\nKSkpITk5OerYMQl2u528vDxZZEKlUmE2m+UpJQqFgtraWhQKBUajEavVSvv27dFoNFRUVKBQKFrS\naK/j4Yy1yTMBRUVFPPDAA/To0YNZs2Y1i5azWq1Gr9dTUlJCWloa1dXVlJaWUllZCdTbU2FhIb17\n90ahULBlyxaefvppUlJSuO+++7jtttu47vwAuUlhNuwXGPp2PEUHNp22mmVDxMXFkZCQIGdxMjIy\n8Hg88nCIZcuWcfbZZ6PRaDAajVRUVMjPTUxMbLGlkF/rMJ9u8vdDp3oizYGGo6Skv6M5rGi7nWhr\nOp0u6riqWHW4aMdGc8SSM2iIhlqWEqIRjDweD5988glTpkxh27Zt5ObmsmrVKrp06RLxWcvKyrjr\nrruYPXs25xTU1yZ7PylydoaBhRv8QOTsyqYBQSgUktdWrFghp03btWvHq6++yqRJkyI+H9TP/wyH\nwzgcjpg1j8TERDIzM1Gr1VRWABXThQAAIABJREFUVqLT6eQp9BIBITk5GbfbjcViwePxYDAYsFqt\nLb4fLArOSJs8ExAIBBg9ejQajYY33nij2QYfaDQaevXqxZIlS1i5ciVQf93n5+dzwQUXkJKSIgew\n3333Hd988w0XXngho0ePZszoW+lY0ImA/Vyue3UGrrhuFB1Y95s4S5VKRUJCAlarFZvNRps2baip\nqUEURex2uzz0oKSkhLi4ONLT0xvtoO12e4sNUn9tDXNvk78jeyB+B2zZsoULLriAa665huuuu46c\nnJzf+5SaDV6vlylTpvDiiy9SWVlJYWEh06dP5/rrr0er1TbaVYZCIaZOncrDDz+My+Xk1ZECZsN2\n7tij5kClQJlDBfw6AQcpYPjuu+9QqVSygUvBgeRcnU7nL6ZKMzMzSU1NJSEhQXbWaWlpOBwObDYb\nPXv2pLq6Wp5oIhEQzGYzBoOBtLS0FsvWa4oz1SZFUWyU6YnVluV2u2PKHLpcrqiPORyOqP//tbW1\njd7z+eefZ/369bzwwgsYDAaqq6sjnlNaWhp113TgwIGo9VCn0ylf671796ampgaz2Sy3Q0ktT6FQ\niGXLlrFt2zYKCgp48cUXueWGy9k6SceU1UGmzJhBfHw8dXXro9pLcztQrVaLyWQiISGBrl27YrFY\nsNvteL1eXC6X/JjdbiclJYXq6mp8Ph8ZGRkkJibi9Xpb7PBoODnx9X9EWa4F1ouiuLH5TqnRe14J\nvAoogf+Iovjc8Y43Go0oFAoefvhhHn74Yc4991wGDx7Mtddee9z+qDMZe/fuZebMmbz77rscPHiQ\nK664gnvuuUeuiTTF0qVLmTBhAps3b6Z3715c3/ZbxvYR8QVE3vyfyKYDzWeATXfVUq3jRFFTU0O3\nbt3Iy8sjFArJKa7y8nJCoRC1tbUynb2goACbzUY4HKampgar1dpi00IS/gg22fQaiabPDLEJPNJj\n0TI1scg9RqNRJuB89913TJ48mWHDhjFo0KCYu0ur1Rp11xQfHx+15aRHjx5kZmZGfS2DwcDVV1/N\n0aNHGTlyJNu2beP+++9n9OjRDPvrJSye4CMnMcT1HXfw788UuFyu48rZnSq5pyFUKpWsca1SqTj/\n/PNxOBz4/X7atm1LVVUVVquVdu3akZSUhNvtJi4uDrPZLBMDWzJOZod53rGfecf+vor6CQljBUGY\nLYri8815YoIgKIHXgcuop8n/IAjCXFEUt8V6Tk5ODmvXruXAgQPMmTOH2bNn8+CDD/Lggw9iMplk\ncklqairJycmkpqaSmppKSkoK6enp2O12kpKSmnVa+6+By+Xis88+47333mPFihUIgkCfPn14++23\n6devX/1UkSbO8qeffuKBBx5g8eLFZGdno9NpuS53DWP7BPAFYOgbajYdOLOiQpfLJRtrenq6PE4o\nPj6enJwckpOTCQaDWCwW8vLy8Pv9Mnu2dWcJ/AFs8vfGY489ht1u59lnn/1NZTG/++47RowYQVVV\nFVOnTqWwsJCbh1zKrFtKyUmEjQeUXPNy9P7v04lwOIwoitTW1uL3+yktLaWkpAS32004HCYhIYG8\nvDySkpKorKwkJSWFuLg43G53i95ZSjgZh5kBdBFF0QkgCMJEYAFwCbAeaFbjBLoBRaIoFh97v/8C\nVwMxjVMa75Wens7f//53xo4dS2lpKfPmzWPfvn2Ul5dTVlbGjh07WLlypVycbwilUklKSorsVNPT\n00lNTSU+Pl6OdOPi4uQewU6dOmEymQgGgxEXU6wpKIFAoNF6KBRi/fr1fP/996xatYrly5fjcDjI\nyclh4sSJ3HjjjfJEA0kIQIo6Dx06xGOPPcaMGTMwm83o9Xpqa2t5YZjAnf0C+IJw41s6lm5TyRMO\ntFptVCm9aDvEWILY0Y5Vq9URKbdYBqZSqbBYLLJwek5ODqWlpVRXV2M2m2nfvj1paWkIgkBqauoZ\noQF8BuKMt8nfE06nkw0bNjB69GjMZnNU9azmhiiK/O9//+P9998nPT2d5cuXU1RUxPVX92LZfV5y\nk+GnQxouezZEnfe3dZaCIGAwGLBYLHIwajKZ6NKlC06ns9FjDe3W7XbLnIHWHeaJIxloeDcMACmi\nKHoEQYhemDg1pFOvWiKhBLig6UGCIIwBxkB9Taxpz1deXh533323vNZQkN3v93PkyBFKSko4cuQI\nhw8fprS0lLKyMvn3H3/8kYqKiphpEYVCQWFhIRdddBEXX3wxPXr0ICEhgcrKSsrLy+WpBVItIBAI\nyP96PB42bdrEmjVr5AsyJyeHwYMHM2LECHr06BFTlWjv3r288cYb/Pvf/5bTmZLknsvl4pvtYUb1\nhJFTtcxdF6RhzVJSEmoKiX3bdC2a/Fy0dZ/PFzW1FO35cXFxWCwWeeZnRkYGGRkZJCcn07ZtW9q0\naSNPJhFFEZ1OJ2vJhsNhOVXUwnHG22SbNm0aXWsejydqPTLWnFmIPmsW6muY0dZra2sJhUIsWrQI\nn8/HxRdfjNPppLKyMmqgCFBeXh5V3vLo0aNRn+PxeCIIcoFAgNmzZ7N27VouvfRS3nrrLV555RVe\ne+017KmJbNrvIaQ0cekzXhw+ldw68lsQfTQaDUlJSZxzzjmyvUmiCLm5uXINU7p/mM1mOZMjOc/W\nrM7JOcwPgO8EQfiC+j6vq4BZgiAY+R0jTFEUpwJTAc4777yTSvZrNBratGmD3W6PuhOUnGsgEKCu\nrg6PxyMX+z0eD5WVlXz33XesXr2aadOm8frrr5/UuSsUCtq3b8/QoUPp3r07vXr1ok2bNg0/W8Rz\nduzYwaOPPsqcOXNQKBRcf/31fPrpp8cciotObcJsPqjg8/UKVu1SU+NRUq/HfebAYrGQnp5OXl6e\nrIkr9VSmpKSg1+tJTExEpVKhUChksoE03ksi/bTizLfJrl27ig2DvuOJDcSqYRqNxqg1zFAoFNX5\nSpmW5cuXY7FY6N27N2q1GpvNFjPISklJiSpQcM4555CUlBSxXlhYKA9Sh3rS0E033cS6dev4xz/+\nwQMPPMCwYcPYtn4p7bMT2LHvKMP/rUSjdFDniXSQzVmnjIbU1FTOO+88+vXrx969e+VgNRQKkZyc\njEqlkmd/St9DbW0t4XCY1NTU1uD0GE5mvNeTgiAsAnocWxoriuK6Y78Pb/Yzg0NAmwZ/Zxxb+80h\nCX9D5MgwaRSQ1+tl8+bNrF69Go/HQ0JCAvHx8SQlJclNvlJKV6lUotPpGr1ONEHyhti7dy9PPPEE\nM2fOxGAwyPW+zz///FgEKPLi0BC39wsz/N8qPl+v4KhDOG2DZn8tpO8yKyuLdu3accEFF1BWVoYo\niuzbt4+KigpZ9aVTp05yytZgMMjBSuvush4t2SZ/CVKf8qWXXvqLs1dPFatXr+aWW27B7Xbz3nvv\n0aFDB3r27Im3qogVjwh4A9Vc/i81NR41dVF2sacbksxkfHy8LAxitVrRarW43W4UCoXcKhIMBvF6\nvYTDYXnHbTabW+3tGE72dhoAwoB47PfTiR+AfEEQcqg3yhuAYaf5PX811Go13bp1o1u3bvJatHmc\nx1tvir179/LFF1/w2WefsWbNmkYaq41TUSLPXOvh9r5hfAHwn8Hlvvj4eC644AJ58kg4HJY/l8Fg\nwGazyQLtDR2jQqEgOTmZ8vJygsFgq9P8Ga02GQXSNXI6R4nV1dXx+OOPM23aNPLy8vjiiy8oLi6m\nb9++2K1hlj0QIi8ZftwHIr9tvVKhUMj3CL1eL4sU7Nmzh6qqKtLS0khNTcVoNOJwOOQa5v79+6mu\nrsZut8udBTqdTn68pZN+TvjTC4JwF/UpoETqayfvC4Lwf6frxERRDALjgCXAduBjURS3/sJzCIfD\nx/2RBqz+0lpzHSuKYsSPRNppuhYKhfjxxx954okn6Nq1K/n5+dx77704nU50Oh06nQ6TyYTRaJTl\n5lQqJS8MDXF7Xz++AAz7t4YlW+odjrQLFQSh0Y+kHxnt53TCbDaTkJBAamoqZ599NhUVFRw9ehSn\n04larSY3N5esrCyys7NJSEiQ5+45nU5ZAi85OVkeVdbSR3v9EWzy94JWq2XkyJF88sknHDhwoNlf\n/5tvvuGiiy5i+vTp3H777Xz11VfMnj2b4cOHc1amkfl3u2ibAj/uE7jqJS017t9A6+4YFAoF6enp\n2Gw2TCYTSUlJcmuMTqfDZrORmZlJUlISBoMBt9vNkSNHOHr0KEqlEo1GQ3x8vNxGIpVD3O6o88pb\nFE4m/LoVuEAURReAIAj/AtYCr52OEwMQRXEhsPBEj2+qwhNN6edE1072WMkJNV37pWMrKipYunQp\nixcv5ssvv6S8vBxBEOjevTtarZZwOMz27dsB5Au2IeFgcLcwdxzbWQ55TcGCjSEa1iyjyevFEm6O\nth7LKUVbP14vmUajkUXUpTT1oUOHCAQCqNVqLBZLIyOV+r6cTmcjhp70nUr1zBa+yzzjbVIUxUak\nGa/XG/Xa83g8Ma81l8sV9Tmx1qXa26233sq0adOYPHkyjz/+ODU1NTHfo6amJuZ7N+zPrK6u5pVX\nXuGrr76iQ4cOvPvuu+Tm5jJq1CiWL19Op06d+NdVm2mbChv2C/y/l3XUegQE4bch9xiNRgwGA23a\ntJG/e5PJhNlsJiUlBb/fLzPps7OzsdlsssKWNMZLpVI1+q4kvkArb+DkHKZAY/aINNm9FSeJ0tJS\nFi9ezPz585k/fz6hUIjExESqqqpk/dT169ej1Wp/cZTOJz8I9PqfwOKflCzYeHqJAyeDpu0o8fHx\nxMfHY7fbSUxMRBRFWRavrq6O2tpaueFcIvtAY2OV2LES0aPVgM98mxQEoVENURTFqDXFWOvSY9EE\nCqR0frR1qe1r4MCBfPbZZzz77LMkJSUdVxYvmnBBUlISCQkJHD16lLlz5/L444/jcrl46KGHePjh\nh5k3bx4XX3wxlZWV9OrVixUrVnD7USX/uj7ELVNFatyN7be5yT2CIGC1WhFFEY/HI9tNdXW1bEv1\nfdk6DAYD8fHxaDQaLBaLnOmSjlOpVLIUpTTGS0rDtvDAVMbJOMzp1DPyPqPeKP8KTDs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VrwXLVluN1uBgcH9b26uroolUrzcplKkLm5uZk9e/YwMTHB2NgYgUBAS+J1d3fT2tqqBZhV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\nkPzbHzxDumCl70+ycSll/VqvaaWczh7nXmNs0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Ht3uFcWKH/vX1R77Vy73S5ut/sKRQzY\n2YCv1+t0u10SiQTtdvsKFQ3YHrPI5XK0Wi3a7Tb1eh2v10u73cblcmG1WtnY2GBkZIRAIEC32+XC\nhQsUCgVlwtlsNoLBIPV6nbW1NYaHhxkdHSUQCLC1taVDyELwabfbrK6uYjKZeO6551hdXaVQKNBq\ntfQ8Xgv7LRaDwUCj0aDRaGiwEzidTnq93p6vCwaDnDt3ji9+8Ys88cQT9Ho9bDYbHo8Hg8Ggos7X\nrFXZ37P03w2HP/LarznATcWtJMnsxR0YGBjQdf5a57NX9gjsyByl5ClBanh4mGg0SrlcZmtrC4fD\nQSAQwG63awa4X6DeHUR33zeCwSDdbhefz0ez2dT7hlR87HY76+vr5PN5SqUSk5OTrKys0Ol0mJqa\nUmcSIfF5PB4sFgtHjx7F6XSqDJ6Q8y5dusTs7CyRSIT3vve9nDlzBp/PRy6X0+9Mgv8NbTr6LboW\nfx8+sLytD3sLcRAwrwP9Fy2wYzcHr/74Uh6Rf/bauUovTXaxolojF78cSwIsbC/AZrPJzMwMbreb\nXq9HKBSiVCoRj8exWCwMDg6qILKUYebn51lcXOTBBx9kdHSUfD6vAUR6iQ6Hg2AwiMvl0sU2NjbG\nzMwMrVaLCxcukE6n6XQ6uN1uVlZWVGFnZWWFjY0NLBYLnU4Hs9lMq9W6Zb9Lt9ul1Wope+/nf/7n\n+Zmf+Rk+8YlP8Ju/+Zt0u13+6q/+SgPlNe1qdxN8pn7sjf8gB7gCN7PScyOv7S9V7mZ2Xm0cDCAe\nj1Or1Th06JC2UCQLdDgcOsPYH+yMRqNuNo1GI4VCYcc9oX+z3K+mI4QbeZ3T6SSZTNLtdsnlcqqA\nNTAwgMvl0teLnJ3D4WBpaYkXXniBSqVCqVRiaGgIj8dDu90mn89z8eJFAoEAnU4Hk8lEqVTC5/Mx\nODjIiy++qEpbbrebw4cPK5PdbDZribf/c17XJmi3n+Xf+c+3PFjCQcC8KvbbwfX/0P0ZpkAymWKx\nuOeFIRe91WolnU7r+wik59hPwBHJqeXlZSqVCrFYjHA4jMViwWg0cvr0aUqlEmNjYzSbTdVahe3s\nsdfr6U7RbrcTDodVQzWRSGCz2XC5XLjdbiwWC71ej7/4i79gc3OTRqNBvV4nk8ngdDrZ2NhgY2OD\nZDJJr9fThdloNACuKbu8Geh0OvpeVquVf/pP/ykf//jHVfzg13/91zEajXzyk5/k85//PA8++OC1\nHfiADXtH4PWUT+W1UiLdy7Zqd9l09/1Byprw6r2kXC7T6/Xw+/14vV5SqZQe1+VyMTAwQLPZpNvt\nKgNc1rLwGGRdS4mz3W5r6dThcDA0NES5XKZQKOg5bG5u0mw2tRRbr9dVclLuNZ1OB6vVSiqVYnZ2\nlnw+z1133cWxY8dot9vMz88Tj8dJpVJMTk7i9/vpdrv82Z/9GYVCgdHRUcbHxzly5AjlcpnNzU2G\nh4c5fvw4iUSChYUFTp8+TTAYvPHM8nX6Wb5evOXvAlfbhV5NCQPYkQXuxtWGgqvVKqVSSRehz+dT\nE1a73U4+n1ePONjuO0h5Z2hoiOXlZQwGA61Wi0qlQqVS0V2isNkk46vVavR6PRqNBrFYTIWSE4mE\nmjA3Gg1cLhe1Wo1gMIjVaiWTyXDp0iVSqZSScGq1Gm63m2w2y9bWloqa71cifSPRarU0w/7hH/5h\nPv7xj2t5WWAwGPD5tnehd91117UfvLYBnepBsHyT41rKudcy6iXr91rZ7AIhukhpVe4Bw8PDWCwW\nqtWqlnyl3WI2m6nX69TrdbWtCwaDbGxsUK/XaTQaDA4O7th0iwOIzWYDtitfhUKBXC6nfVLpIbbb\nbZ17lqw5m81SLpcZGhpicnISQJmv3/zmNzly5Igqa4nLj+jCfvWrXyWTyeD3+3nwwQdVK3Z0dJRM\nJoPJZGJ5eZnnnnuOXq9HNBolGAxe3w/Za0Nl5TseLOEgYO67C+3vM+4Oev3BU45xtbLPXgu32+1q\nj0CySKfTydbWFktLS7RaLUKhkJZaNjY2NMMzmUy0Wi2azSZbW1t4PB48Hg+5XE6PGY1GKZVKGAwG\nLdeaTCbMZjONRoONjQ39fMFgkFAoxOXLl5mfn9egmslk9PnpdJp0Ok2z2SSRSFAsFmm1WnS73Sv6\njG8kJFNut9u85z3v4bOf/Sx+v1+/03489dRT/OIv/iIf+tCH+Ef/6B+99sFbRbB4YfwHwPE320PQ\nB8HyTYPdwe9ayrnXMuolLRYpTcpjUqLdHZDlPET6TUqhjUYDk8mkWZ4o3QwODu64n4hOq5Rn8/k8\nFouFQqFAu93WALyysqIEHpGgtFgsVCoVtbxbX18nnU5Tq9WwWCysr68TCoVwuVw6LrK0tITH46Fa\nrbKwsECj0aBarTI0NMTGxgaLi4ucOHFCuQDBYBCbzcazzz6rG3KLxcLq6qoG7mazqcF6c3OTXC5H\nIBAgEAhc+w/a621XeSxeeOTzkDsP4WusEr1BeMvfDfbbhfb3GXeXY/fqZcLOZvxulQspn8gxfD6f\nziGKQoaUMdrtNpFIBI/Ho01/gNXVVSKRCKFQiKmpKVZXV9nc3MRgMLCwsKA71Gg0ytraGiaTiUaj\ngcfj4fjx4+pwXigUyOfzdDodfD4fdrtdS77lchmbzUa73cbtdpPL5Wg2mxgMBjweD/V6Xd0JarUa\nnU5HrbP2wtWCqdls3jM7tdvte/ZAe70e9913H9/4xjf42Z/9WX7lV34Fk8mkmXin09Fddjqd5kd/\n9EeZmpriX/7Lf0m1WtVsc0+knoG/fj+8/fdh7IMw8ND+zz3AbYkbKcFeSxYqwXcvAfKrVabcbrdm\nkLDdGqnVajQaDS29CpmoHxJwpepktVqJxWJYLBay2Swej0eD5ujoKFarla2tLc0So9Go3m+k1Hr6\n9GmsViulUkk35/F4nIWFBVKpFIFAQEk9UmqW7NVms2EwGFTVZ3Nzk69//ev4fD4effRRBgYGWFhY\n0PtTLBaj0+mQy+WoVqvUajUikQijo6PX3q6RMmzyr+Bd/wPs4e94sIS3WMDca65qv13o1dR3rja3\nCWgzvdFo4HQ6yefzWoYFtAQrF7XQrmVX6XK5KBQKpFIpvF4vg4ODyn6tVqs4HA6Gh4cxGAxEIhEG\nBga0JCvl1oWFBUqlEnfffbd+9kwmo5/FYrFgMBhot9t0Oh09R5G0KxQKNBoNLedKo19mMB0OB+Vy\nmU6no6MzN/J77BUw9yrziizft771Lf7oj/6IH/qhH7ridSaTCaPRSK/X4yd/8idJpVL8s3/2z3C7\n3VfPgvt7lrEvbQfMA7zh2G/e+EZxI4za18pC+88xGo3u6GPuV5mSoOB0OpXlLtqqTqdTM0PJJOv1\numaO1WqVQqGA0WjUFkM6ncZisWC32xkaGsJsNqvSlQTMTqejGZz0NIX4k0qlsNlsnDlzhlarhcVi\n0fO1WCwEAgHGxsaw2WxcuHCBbDZLqVTilVdewWq1YjAY+PrXv47FYuH06dM8/vjjrK6u4vP5iEaj\n6vxTrVZZWVkhnU5z9OhRZc47nU4effRRjh49qmXqq2J3zzL/Cgy+65p/0zcSb4mA2V8i2T1Xtd/z\n9xqU32ueEq7czUogrNVqrKys6IILhUJaHpUbRDabZW1tDYfDofOTsuhyuRw2m41YLEY6ncZms2m5\n9JlnniGZTDIyMkKlUsHhcJBOpymVSlQqFQqFAvV6nenpaUZHR8nlcpRKJYxGIzMzMywvL+N2uwkE\nAkxNTVGv1zEajXQ6HeLxOPV6XZm07XZbF5kEdXEmsNlsylJ9o5ix0jdptVo8+eSTnDt3DoBf+qVf\n4sUXX+TLX/7yjhvtl770Jf7bf/tvmM1mfuqnforBwUEdtL4Cuwk+D/6nN+QzHOBK7J43htc3a3nT\nlWTYe0TMbreriPju4CylUofDoQFSiDky+yyMVbPZrPclGc0oFApKvsvn86ytrREIBAiFQgwPD2tb\nRO4HpVKJp556itXVVe69915V3PF6vQwPD6v2s8FgUF6DjH3FYjFV86nVajzzzDNcvHiRubk5/ewW\ni0WZswDr6+tsbGwA2zPT09PTaoZgt9spFotagpYZ7tHRUSKRCH6//7WlKfci+NwmwRLeAgFTyqP9\n9OndF/ru3ke5XGZpaQmHw6Eeb3D1kk//TrRarWK1WnG5XNhsNorFohJ5UqkUjUZDyx3PPvsspVJJ\nB4wjkQiPPvqo9i5WVlY4dOiQkg4kwxMvuUwmw+zsLN1ul3A4jN/v195BqVQim81it9s1k5TPVqlU\nOHToEEeOHKHdbjM3N8fGxgZGoxG/36+kAdFiDYVC2Gw2LBaLBmWTyYTD4cBgMFAul7UEfLNJQKJh\n+8ILLygDFrbJE3a7fUf22Ol0+Ff/6l9x8uRJ3v3udyuNfk8U5w7YsN9B7J4bvBWzlteLvVoxEuCl\nXbMbIkIg9xPJvoQVPzo6qoQbt9utZL/NzU0SiQTj4+NUq1W2trZIpVKEQqEd35VkoDKqsrm5qX1K\ns9mMyWTSjWyj0dBRsqGhIbLZLOl0munpadLpNBMTE7hcLr797W/zwgsvqDG7y+WiXC4Ti8V2WHBl\nMhm3GZ46AAAgAElEQVTC4TDlcpnjx4/T7XZV1ETuSzJnOTAwQCAQ4Ny5cwwNDV3b73vxV24LNux+\nuOPvDsJAk12VBIT+C303oadcLuu4htVq1bmn3fOVUoosl8vk83nS6TSRSIRSqUQsFiMYDKpBcqlU\nYn5+nlwup/6Qhw8f5tChQzqy0f/YsWPHWFtbo1wuE4/HMRgMaqgsOze/308qlVJ/yJmZGU6dOrUj\nw5yYmCCXy2EwGKhUKhrQQqEQ3W6XZrNJLBZTuruUfvr1aKUcXKlUCIVCjI6O6kIxGAyEw2EMBoPu\nSEUy72ah1+sRCAQYGhrSfiXARz/60Sue+/nPf57p6WksFgt/+Zd/uYPafwU8R7YJPp3aQbD8DmD3\nvPH14FZJ5kmfsl+8YHeA3115GhkZ0Y1z/wzl5uYmCwsLeL1ewuEwRqNRg2UymWRlZYVMJkO73abd\nbhONRgmFQrTbbRYWFohEItRqNSqVCtlsVok9R44cIRQKYbVa1dhAeqeVSoXV1VVlwGezWRYWFlhf\nX6fb7WoQFYEPEUaJRqNqqtCPXq/H6Ogog4ODjIyM0Gg0aDabmEwmPWdxKVpfX8dqtTI1NcXRo0ev\n7Xea/GFY/gzc/29vu2AJb4GA2b8zk+b77p3O7l2k0LQtFouWLeDVvqcEE7nYU6kUiUSCarVKJBJR\ndYyNjQ1sNhutVgur1crk5CTBYJBKpaLixh6PB6PRSLPZ5OTJkySTSRYXF5mbm6PT6bC6usrg4CD5\nfJ5arUY8HqdcLuP3++n1eiwsLODxeFQsYHl5WdV8ms0mzWaTfD6Pw+FQ14FgMEin02FhYUGDsc1m\no1wuYzab+fa3v61uBfJc6cXIOMzQ0BDFYpFisYjJZNKdb7PZxGq1UqvVXvO32a+vKKw/QblcJhAI\n0Ov1NEjvhXa7zS//8i9z6tQpfud3fueKMRNF+jlwDIJrAt7+B9vC6gfB8k2Fa9FVvhZcS+DdbWiw\n3+PwqlFD/xiJ3FesVqsGF6lkCbu1UChgt9s5fvw4qVRK5zPtdjuxWAyTyaRz1+12m7GxMUqlkmaW\n0ro5fPgwDoeDmZkZarUaqVSKgYEB7HY7Kysr1Go1fD4foVCIRCJBLBZjenqaI0eOqINQPB5nenpa\n2ej9CIfD1Go1vX+Nj49TKBRYWVlRLkU6ndZN9okTJ5QFvO+mqNeD2J9vcwc8R+B9l8H0Oiz43kDc\ntncJg8EwBnwGiAI94D/2er1/ez3H2L0YZGHtFh2WHWB/wz4QCCh5x+Fw7Aiq3W6XeDzO1tYWkUhE\n5axGR0dxOp3aKM/lclouqVQqjI6OMjAwQD6fx+Vy8eyzzxKNRkkmk8zMzFCv1xkcHKRYLLK5uaki\nxi+99BLj4+P6XqVSCY/HQ7FY1MUkpeOhoSEqlQq9Xg+TycTRo0dZWFggHA6ztramIskS8E+dOkW3\n22VxcZF4PK6L0mKxMDExQbe77UeZTqfxer0YDAYKhQLZbBaDwYDBYFDRc5fLhcPhUDJPvV6/anl2\nP8ZctVrd8bpOp0MwGMRgMOh3uxf+/M//nJmZGQDuueeevZ8nPUtbGP7u09uB0/DmcKb4TuNG1uRe\nA/9vNPaSsNwvIF4Ls7Y/k9yr53o1EqBkj1LdGhsb0xaBCIkYDAbq9Trj4+M7KjpC8gsEAgwODmI0\nGlleXuby5cs6G+1yufB4PPo+vV5PA2UikWB5eZmHH34Yn8/H/Pw8yWSSw4cPYzQa8Xg8bG5uKtN8\nenqa//k//yf1el35CP3r0Ofz4XQ6daRNOA79YuztdlsfGxgY4J3vfCeTk5P7l2P7e5Z3/Qzc/1u3\nbbCE2zhgAm3g/+z1eucNBoMHeNFgMHy91+tdvtYD7LcL3UvbtZ8UlMlkCAQC2qDu13SUANtut7WP\n6HQ6KRaLVKtVJiYm6HQ6ZLNZLbEUCgWsViv1ep1oNIrdbqdUKrGwsEC5XFaKeaFQIBAI0Gq1dPQj\nkUjgdDrJ5XLcfffduuvrdDpavrXZbDqkDNv9xmeeeUYz5EuXLlGpVDT4SWlJlIOcTidLS0vE43Gy\n2awqkQwODtJoNNRf0uVyaUAWwWiR5ms0GpjNZiU73cyS7AMPPIDJZLoqE7der/Orv/qrnD59mg9+\n8IN736D7CT4j79sOmge4Hlz3mux0OlfPLm4QTqdTA8VuLeb9xr72mp/erRHbj92lVgn84gIir92L\nbCR/6yf89B8nkUhoj7HT6dBqtVSpp9PpcOTIES5cuIDX68Xn8+Fyudja2tJgJBsRj8dDPB6n0+kw\nOjpKNBplYGCAUqmkvIdEIoHD4SAWi+F2u7VMuri4SLFYxGw2s76+zrPPPrtDZ3Z3NUcSCJvNRiQS\n0XaPjKpICbbdbjM0NMS9997Lvffeu/9maTfBZ/CxG7kUbilu24DZ6/XiQPxv/7tkMBimgRFg38Up\nF1H/otjvOf07Q1lgsuh8Pp82zzOZjA4g+3w+gsEgxWJxRzbldrtZWlpiYWGBQqHAkSNHGBwcxOv1\nKmlG3i8ejytRRTK5VqulAgVbW1skk0lV8ZERi16vx/z8vJZPZQMgi7ZcLnPhwgXVe6xUKlgsFpLJ\nJLOzs7RaLfx+vwZOl8tFLBZTCy+ZpywWi5pVP/300zQaDb0hSVYrjgvBYJDBwUENomtra1o6vpk4\nduwYf/Inf8JDDz3Epz71qSsk7hqNBh/60IeYmZnB6/XyYz/2Y1feoA/k7l43bmRNmkymN4TMIy0C\nIZnATi1n+bdsdqUlI9qrwlW4Wva7n1iJbK6FuANXkv7kfPqz091erLVajXQ6rdmkzHiaTCY8Hg+B\nQIBoNEo0GiUej7O2tkan06Hb7bKxsaEjay+99BJDQ0OcOXNGDRSsVitjY2PKmJU+pYiNPPPMM3zj\nG98AoFKpUK/XdXRMsshWq7WD1SreuNLuabfbhEIhdUhqNBp0u10GBwc5fPgwDz30kJIX+38f4LaS\nu7sevCnuGAaDYRI4Czy3x2MfBT4KKLusP3vsFx3odrsq6SblBektADq07/F4CIfD6sYhVPBms8ny\n8jLLy8uEw2HGxsaUeXvmzBkd7P32t7+Nz+djfHycer2OyWTC5/OpRmwymaTT6eB0OjUDFRGBWCxG\nLBZjaGiIY8eOYbPZlF6+sLCgxBphssmsJ2xb9SSTSbxeL0NDQ9jtdmZmZnQHWqvVMJlMKpzc6XRU\nucfj8RAKhXQe0+l0kk6ncTqduoilnytzmtlsVhWDZKzlRuy4Xgtf+MIXdHj7kUce4cMf/jCf+MQn\nGBoaotVq8UM/9EM8/vjjeL1efuu3fovJycmdN8FeD1786YNgeRNxPWvyesuxu3WU4bWdOfqDcn/G\n1x/c7Ha73tRlo9mfie6l9NUfdKUcKxqs/Y9J8DWbzdry8Pl8RCKRHdmpnKfP59PxsuHhYaxWK5VK\nhZdffplarYbT6WRkZES1oYWL4Pf79fpuNBo6fnLixAmOHz++g7C4tLREOp0mFovh9XrJZDI0Gg3m\n5+cxmUwqLCA9xnA4TKfTwW63k8lkdHZUVIAkkbDZbDQaDTVxMJvN2mby+Xx4vV7uvvtuhoaGqFar\nKpSwA9kXYf7fv6mCJbwJAqbBYHADXwB+ptfrFXc/3uv1/iPwHwEeeOCBXn/2uLtUIuIBYjcjzXKj\n0cjW1pYOx0ciEYxGIxMTE5pFymIQVmmr1eLs2bN6YcK2zqsEp1arxbe+9S1V5mi1WhSLRSwWi464\nSJ9Sgo/MYRUKBbxer84+JpNJMpmM7gTz+bwuFhlZMZvNaq+VSCTwer0MDAyoZF7/OIsodwiJplwu\nK9tNZjVlByn9DJm1FDcUESwQAoDskq/zt93z7y6Xa8/eZ7PZZGBggD/90z/li1/8Ij/3cz/H888/\nz3//7/8dv9/Pj/zIj/AP/+E/vPIGbTDAd30ZZn4b7v21g2D5OnG9a/J6j59Op9nc3ATQkYy9REf6\nM8q9rLTkMdgOrOl0WkefyuWyjkvI5rk/KIvSlzDh3W63rv9kMrkjIMdiMTY2Njh+/PgOQRLJyPZy\nObFarayvr2MymQgEAni9XvL5PJOTkxgMBhwOByaTiWw2q4FMAv3hw4cBVIXrgQceYHR0lFKppNWi\nbDbL0tIS58+fV47F0NCQtpKmpqaIRqNqG3j8+HF6vR5bW1v6fZtMJv0+xPdW7hOS3XY6HbxeL5VK\nRc3o5bVmsxm/3793/zj0wPbG1eJ70wRLuM0DpsFgsLC9MP9Lr9f789d6fn/ZY69drdPpVOkoGTeR\nBSHN6n46uNlsxm63c/nyZcbHx3G73WxsbChtem1tjZMnT2I0GpmcnCQajWr2NzMzQyqVwuVyceLE\nCfV3FC1KGUUR3UXRgTWZTHQ6HSqVCk8//TRWq1V7B0IxlwDV7XZ10UhfASCfzzMzM8Pm5iahUEhL\nv7v7n/2o1Wo7SqmimCO6tVarFYvFot6aUlKW1/UTBa4V+xGCdpN++mG1Wun1erzrXe/iF37hFwB0\nYf/6r//6zp1s6hlY+jSc+x1wDMHZf3Nd53eAK3G9a1JwrWMgEkw8Hg/BYHCHzJwIAew+VrV6pdGz\nQLI6mcUWfkChUNC2iQS03cxW2JnBut1utra22NrawuVy6fhIoVCgWCxqH1/OM51OYzab2dzcxG63\nYzabVfxgbW2NWCyG0bhtypxKpSiVSqrzKptfqej4/X5GRkbwer3E43HGx8fxeDysra1ht9uZm5sj\nk8no64VQNzAwoIHO4/EwPDzMpUuXdmS7mUxGZ8Gl6iSjLRL8IpEINpuNRCJBp9NhYGCA+++/X+cy\nRb/WZDLh9/sJh8NXbF62zZ9/DiLfBSPv3x4heZPhtg2Yhu304w+B6V6vd00298KEvVoDX35E8aIU\n5pvP56NSqWjGJrqHuVyOdDrNwMAAfr+fgYEBjh49yubmJrOzsyQSCVqtFtVqFYPBwMzMDKVSiV6v\nx8DAgLLWarUapVIJr9ermd36+jqTk5MqMwfo+ESlUtF5RqvVSrFY1Iy4VCpRLpdVnUc+39bWFoBm\neplMRuXw+rE7WO4F6QvJvKUIFcj8lslk0vO8VXZeAoPBwBNPPIHZbFam7ic/+cmdAgX9PcvAGTj2\nT27pOd6JuJE1CWi2Jc43VxsDqVares32mx7b7Xadwd3ddnE6nTpCtNfal82xtFb6B//F0FjeQ6pJ\ncmx4lekqLhv9wgTVapXh4WHcbjcTExM73lOC0PLyslashoaG6Ha7+P1+jhw5gtlsZmxsTN1JnM5t\nR5FKpcLw8DCbm5u6kfV4PDpyIu2VfD6vm4iFhQUVPxkbG+PcuXN4PB62trY0oN9zzz1qpiACJjLT\nKfeNer1OLpfTTWu/jZ5sIGRTG41GdQ02m03C4TCRSIRAILBHW+Rve5bzvwfftwK263QtuQ1w2wZM\n4GHgw8AFg8Hw0t/+7f/u9XqPX+1F+7Hx+hv+/bY7kmXKDFGtVtPdaD6f58iRI5w6dQqAZ599liNH\njuB0OrHZbGxubqqZ8tbWFqFQSAXVBwcHcbvdzM/PUygUiEQihMNhstksly9fJpVKsba2phZU+Xxe\nyTZms1kzQqGey+5PMtC9gp5o1d5MSClaSEHCorsdIAvSYrHw3d/93a8+sJvgc+RKgYMD3BCue03K\nhrT//3ezWvtht9uV7S3KOFJGlEC2l87z1YLw7rEQCXD9xB/ZsBqNRvL5/I5MU3gGwkgPBALatnE6\nnQSDQYLBoGap/UHb4XBgt9uVVQ6QSqW0HGw2m4nFYjonvba2RjabpVgsaqYmJWGZkxZHEo/Ho6xX\n4WWIEtfq6qpmiFLZWllZ0ZGQSqXC3NycGkRbLBatqDWbzR0VHmlLlUol7HY7wWCQ4eFhAoGACrtI\nMjIyMsJDDz3E4ODgqz/AboLPw597UwZLuI0DZq/X+wZwXb5R0o/bazEKFVwyS2CH+4DMMMruyuFw\nkM/nVU3jK1/5Cvl8nnA4zPHjxzGZTDprubKyQq/XY2hoSE1bq9UqNptNF7wskEuXLqldj9lsZmtr\nS8u1jUaDra0tFRFoNBqqzSg7PGHV3kr0q+vcjvipn/qpV/0uD9iwbxhuZE1KMBOzcplh3ivT7Ha7\nOrNsNBrJZrM7LPD6BdqFSCPrXSQwnU6ntmQkQIqgiIyEyTGKxSLxeByXy7WjMiWuQel0Grfbjc/n\nw2q1MjIyQrvd1qwXdoqZSCYrbSGpNAFK9pOAJOXZRqNBPB7XHqmUi2GbvZrL5dRNqJ98aDQaddTs\nwoULyuSX4CukHZ/Pp5wF2byLK4nBYFC7rc3NTc1cZXTlb39zXC6XSuVJOfaBBx7A7/fTarVUQjQY\nDHL//fczNjb2Krv2TcqG3Q933J1kvyHkdDpNLpej2+0yOjqqbgD9s32y8EQD0W6343Q6SaVSO8QJ\nisUi6+vrmuV5vV7dtUlPcWJiQlmxMhi8sLCg/Qibzcbly5fp9XokEgkNjpLRyazjbtyMYHk1545b\naQa9Xy9LdrR7QdiEglAoxEc+8pFXF2irAN3mQbC8jSDZkbBVYe9Ms1wuq/i4BLCracz2K/CkUik2\nNjbwer1aBRJvWWGIT01N7SDe9BN/RC5TmLGTk5NEIhE9B6lGCdGuX2talK2E9Ndut1lZWWFubo5s\nNsvIyAi9Xo9UKkU+n9f3nJiYUBZxvzrXyMgIZrNZ71nClBdVHyED1et1vv3tb9Pr9fQ7zmazBAIB\nfD4f9XqdbDbL+Pg4o6OjzM3NsbW1RSaTodPpUCqV1L1E+sB7tVdkkyB8C4PBoH1lQMvK586dU1aw\noteFRvqOCJZwhwVMk8m0Y6fYTw5wOp2qdyizhjKz1M9oC4fD2mdot9vMzMwwPj5OKBQiGo3y5JNP\nYjAYSCQShMNh3vGOd2gdv1qt8uKLL3Lp0iWVjJuensbv9ysrTpr8yWRS56WEjdrtdjVI3u5Z3c3A\nfsFZZkX3e6z/u/nxH//x7VJ6YQN3cByG3wN/95vgv/cgWN5G2E2ikQ3k5OSkGoADO3qL8rp+roGM\ndciYiAQ+k8mkGqryGikhimbr1taWlgpFfUcyTzmWrMtOp8PExISyPnfPdgu7Xti3khX2cwwk8I+O\njjI+Pk4ul8Pj8eiAv8ViUTs9EQDIZrMASs6TMbe1tTWKxSK9Xo9CoaD9Tr/fTy6XY2trC6PRyPDw\nsI62yOY6l8sRCoXU+isQCJDJZDQA95N8dkNYxel0WgUURkdHqVQqzM/P43K56HQ6HD16lHA4zNTU\n1PYGqNeDVh6sAfg7n4ETPwvB+9+AK+vW4o66o8jusF/xI5vNkkgkGBkZUWHgTCajNX0xFW61Wqp8\nI8LkqVRKGXCZTEbFiAOBgGZpcjEmEgmCwaDuFHO5nJZ3he4twufValV3dtJsF+3aVqtFr9fT8tGt\nLr++mXDs2DG+//u/n2HrKq6//EF44N/B1IfviIV5J0EyyX6h9c3NTV2Dp0+f1hJlP3sTdpoxC2FH\nNlOylmVEampqSisNQgQSNSCRhZRA3M9yl2AnFSHZULtcLpWk61fzCofDGnzq9brOZfr9fp1DTiQS\nBAIBjh49ysTEhMpHlkolfY6YQkgJWUZCms2mZuM+n0+rVq1Wi3q9zuLiooomSEBeW1sjk8koI1j0\nr6WlNDQ0pC2iY8eOcf78eU0YxPhhN4zGbTsy+U5cLheRSEQ3+VJ+npqa4t577+W+++7b/v6lDBv/\nC/ievwLnyB2zJu+ogLlbhkuUdeLxOM1mk1qtRjgcxm63s7q6isPh2MEyffnll5UaDqi3XDAYJBKJ\ncOzYMWWJvvzyy2xsbLC+vg5siwZICefo0aMkk0lyuZwupl6vp+LLoqJhMBjI5/PqpNJqtXaQeW6m\nvNydiHe+851Yiy/iXv45DO0SxL8Gkz+6PXd5gNsC/aSffrWcSCRCMplUWzsZnu/vI0plCNjRN5RN\ncTweZ319nU6nw8jIiM5NwqstmWQyyfj4OIcOHdKRrP5yrdVq3RHI+0vBwWBQ2bNbW1tcvnxZe7GR\nSGSHpqzT6VRiUigUUmERh8OhG+fV1VUdL5mYmCAej1Or1bQdc+HCBarVKocPH2ZiYoJGo0EqldLP\nXq1WSSaTxGIxXC4XrVaLUqlEtVrVrH1jY4NCocDw8DDRaFTJTaJR3ev1lLiUTqeJx+M60iaCBP2/\nnSQGsnkXswbpax47doy3v/3t3HvvvdsCMLt7loXL2wHzDsEdFTDhVak4QNmv0jMQ+aZsNqukHZvN\nRjKZZGFhQfUdpYQj80nr6+u8853vxO12c/z4cc0mbTabqlxsbW1paaZer7O8vKz9BJn7lFKKMMvE\nkUCYrwe4dhw+fJjvPevmnvTHMXTKf2v+/EcHwfI2Q/+o1+5xkMnJSZaWlmi32yocAtuZ19LSEpFI\nRAfm+xW63G63kunK5TKtVkulG1dWVuh2uxw5ckRLrMJirVarXLp0CZfLxfDwMPV6nWPHjqlfrPRD\nhYGaTCb1v7e2tiiVSkSjUWXECqM2lUqp6IfVaiUYDCozVoRAzGazVrtOnTqFw+FgfHxc+5TNZpNA\nIKAlTyndZjIZFUzoD9LlcpmjR49qW6PRaCjjX+5LoiR04cIFVldXdQZctJ9lfllIhUIG6ucISNtI\ntGVhW1hEZrBdLhdnz57dztz3IvgMfe8tvuLeWNxRAbPX66mklpAFvF4vhw4dUmZZIBDY0WAXrVcx\nRR0bG6NcLpNOp3eIK0uvQ0TSRURd6ObSfxA3cmH6idByOp2mWq3icDhURk5uEAfB8vrx4z/wDr7f\n/3uvBssDgs9ti700XmGbLDc8PKwlUY/HoxmpeMH2myTX63Vlsksv7uzZs5qhwnalRyTdIpGIjpD1\nSzja7Xb8fj8nT57UalK9XmdlZQXYXu+iqiWymeIl6fP5tJokUnuiaiObbNFjHR0d1fKlw+FQmz7R\naJXvZWVlBY/Ho3Kafr+fZrOpDNfl5WVyuRxWq1U/Vzwex2KxcOjQIRKJBGNjY5w/f17Z/mazmbNn\nz/LNb36TeDxOsVjE4XAQDodZWlrSCpgIJABqmiBBWIKuWIo1Gg1qtZpK9iUSCe6///5X/YUvfeKO\nYcPuhzvqDiP1/+XlZbrdbc9GGUyem5vTizeXy2lZtFKpcOrUKVZWVnSn2ev18Hq9+P1+Dh06pHNT\nBoOBxcVFZmdn1VVAaOJut5tkMql07VKppK7nhUJBSy8Wi0XVMgT9FO7rwdXYrqLUs99je5Fq9vv7\naz0m7gn7PbbfeZjN5j0fExm+/fCBD3yAf/Aj/wJDwwON5EGwvM0hIxVSYk0mk6oTK20Med7S0pLO\nH/aTeqSvKFmUKPSIMpC0Pu677z5KpZIy3icnJ+l2u6yvr+Pz+ZRBK6SgZDKJy+XSMqrNZsPtdpPJ\nZLBarWqZFQwGGRsbU2k4ISJJMBweHlbiYCKRIJlMMjo6yunTp0mlUsTjcer1Oo1Gg+XlZSwWC6dP\nn1YjhP55yVqtxjPPPMPW1paOfkhWnclk1ORdNJ0XFhZ0I282mxkZGWFqamqH+o7ch0wmE7OzsyoT\n2C9n2b/mrFYrLpdLiU0yehcMBlXmc2RkZGfPeep/g5X/Amd+444MlnCHBUy73a6N8VKpxMDAgHpG\nzs/PMz4+TqfT4fz58ypnl0qlePnll1VeLp/Pc/HiRSwWC51OR5vpDodDx0dEZKBQKChBJx6Pk06n\nMRgMmo3KDlUWWafT0d10P27lKMebHR98xzA/+qFHOX7iBAbTb/+t+bPpO31aB9gHzWaTixcvksvl\nsFgsSqyB7axNjAay2awq0jgcDk6ePKl6rqVSiXa7rXPP/abssVhMA6kE0I2NDcxmM8VikRMnThCN\nRtWuLxgMqrSj0WhkdHRUq0+wLSogwVVIhGKMkMvllDUqogqwnUELUUfIO1tbW1QqFW29ZLNZLBaL\nunvk83kWFhY0CPV6PRU2OH/+PAsLC9RqNc0oy+UyCwsL6pkrWrNPPfUUmUyGiYkJPVcxa8hms6yu\nruqEQKVSYXl5mc3NzR29yr023tLrFEF1KUOL2tjY2BinTp3i1MmTtBc+g/nYj4FzFP7ey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JHzp0iAkTJojepXJD2r9/P9AwgpKVlcXAgQPZ6r2HPet3csA3AbtjM3l5eaKMrMzIJicn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\nGmOMMUX4f5XgTFhiqnhvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7038750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3, 2, figsize=(6.5, 10))\n",
    "mag_lims = [16, 18, 20, 22, 24, 26, 28]\n",
    "\n",
    "for im in range(len(mag_lims)-1):\n",
    "    ax = Ax.flatten()[im]\n",
    "    ax.axes.set_aspect('equal')\n",
    "    mag = np.logical_and(photometry['r_any_mag'] >= mag_lims[im], photometry['r_any_mag'] < mag_lims[im+1])\n",
    "\n",
    "    fraction = (np.sum(mag*good) / np.sum(good).astype('float'))\n",
    "    \n",
    "    corner.hist2d(np.log10(best[good*mag]), np.log10(photoz['chi_r_stellar'])[good*mag], ax=ax, bins=50, \n",
    "              plot_datapoints=True, plot_density=True)\n",
    "    ax.plot([-3,3],[-3,3], zorder=10000, color='orange', lw=2, ls='--')\n",
    "\n",
    "    ax.set_xlim([-2, 3])\n",
    "    ax.set_ylim([-2, 3])\n",
    "    \n",
    "    ax.set_title('{0:d} < {1} < {2:d}'.format(mag_lims[im], '$r$',mag_lims[im+1]), size=10)\n",
    "    ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\n",
    "    ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n",
    "    ax.text(2.8, -1.8, '{0:.1f}% of sources'.format(fraction*100),\n",
    "            horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_stripe-82_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": {
      "image/png": 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3VFdXlmef2c7Jk+2suW/RgEQeRljoReQ9pdScEts/1D7+FuglKNowZukt8104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\nqbU1xQtbd1FfX8EDDy5FhU3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2vqCATcGDSBWI/IGj7bz+q+Ose2AeDfXl1NflRy09LZTB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QAAAg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\nPtYwfKL34cOHDx8+1jD+f7IzAFBmjZahAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf641f10>"
      ]
     },
     "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, 7])\n",
    "Ax[1].set_ylim([0, 7])\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_stripe-82_specz_vs_photz_pz.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Photo-z Statistics\n",
    "\n",
    "Metrics for photometric redshift precision and accuracy are defined as in Duncan et al. (2018a, and references therein).\n",
    "\n",
    "| Metric | | Definition |\n",
    "|----------------|-------------|----------------------|\n",
    "|$\\sigma_{f}$ | Scatter - all galaxies | $\\text{rms}(\\Delta z / (1+z_{\\text{spec}}))$ |\n",
    "|$\\sigma_{\\text{NMAD}}$ | Normalised median absolute deviation | $1.48 \\times \\text{median} ( \\left | \\Delta z \\right | / (1+z_{\\text{spec}}))$ |\n",
    "|Bias | | $\\text{median} (\\Delta z )$|\n",
    "|O$_{f}$ | Outlier fraction | Outliers defined as $\\left | \\Delta z \\right | / (1+z_{\\text{spec}}) > 0.2$ |\n",
    "|$\\sigma_{\\text{O}_{f}}$ | Scatter excluding O$_{f}$ outliers |  $ \\text{rms}[\\Delta z / (1+z_{\\text{spec}})]$ |\n",
    "|$\\overline{\\rm{CRPS}}$ | Mean continuous ranked probability score | $\\overline{\\rm{CRPS}} = \\frac{1}{N} \\sum_{i=1}^{N} \\int_{-\\infty}^{+\\infty} [ \\rm{CDF}_{i}(z) -  \\rm{CDF}_{z_{s},i}(z)]^{2} dz$ |\n",
    "\n",
    "\n",
    "#### Quality statistics as a function of redshift\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in less\n",
      "  return getattr(self.data, op)(other)\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)), 10)\n",
    "\n",
    "gal_z_bins = 0.5*(gal_z_binedges[:-1] + gal_z_binedges[1:])\n",
    "agn_z_bins = 0.5*(agn_z_binedges[:-1] + agn_z_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_z = []\n",
    "galaxy_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(gal_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < gal_z_binedges[i+1])\n",
    "    galaxy_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_gal*zcut], z_spec[zs_gal*zcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal*zcut,:]\n",
    "    zs = z_spec[zs_gal*zcut]\n",
    "    galaxy_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_z = np.array(galaxy_statistics_vs_z)\n",
    "    \n",
    "agn_statistics_vs_z = []\n",
    "agn_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(agn_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < agn_z_binedges[i+1])\n",
    "    agn_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_agn*zcut], z_spec[zs_agn*zcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn*zcut,:]\n",
    "    zs = z_spec[zs_agn*zcut]\n",
    "    agn_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_z = np.array(agn_statistics_vs_z)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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44oscevdd5zShAQHEXn45PefM8Ykmn9ITJ5xHx65Qztmxo07TmQaEhVUfrOX3O3Z02wjP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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf69b210>"
      ]
     },
     "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_stripe-82_stats_vs_z.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Quality as a function of optical magnitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n",
    "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.9]), num=15)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.9]), num=9)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_mag = []\n",
    "galaxy_crps_vs_mag = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    galaxy_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_gal_mag*mcut], z_spec[zs_gal_mag*mcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal_mag*mcut,:]\n",
    "    zs = z_spec[zs_gal_mag*mcut]\n",
    "    galaxy_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_mag = np.array(galaxy_statistics_vs_mag)\n",
    "\n",
    "agn_statistics_vs_mag = []\n",
    "agn_crps_vs_mag = []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    agn_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_agn_mag*mcut], z_spec[zs_agn_mag*mcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn_mag*mcut,:]\n",
    "    zs = z_spec[zs_agn_mag*mcut]\n",
    "    agn_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_mag = np.array(agn_statistics_vs_mag)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XXuPAo4/StHlzf3vaWWeRd+ONZFxwwYRZJ0GpUf2mG2POFpFc4Go8F2AsEJGP4xmCOOLP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\nUoCIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6ddfa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_statistics_vs_mag[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_mag_bins, agn_statistics_vs_mag[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_mag_bins, galaxy_crps_vs_mag, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_mag_bins, agn_crps_vs_mag, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[2].set_xlabel('$r$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim(Ax[2].get_xlim())\n",
    "Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[0].set_ylim([0.01, 1])\n",
    "Ax[1].set_ylim([0.0001, 1])\n",
    "Ax[2].set_ylim([0, 0.6])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_stripe-82_stats_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy of the photometric redshift probability distribution\n",
    "\n",
    "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n",
    "\n",
    ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n",
    "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n",
    "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n",
    "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "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": {
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jKeXLQog+wKdCiC5SSr1uJSHEWGAsBG8QoSh/h5SSiuqZ5Fc8j8efA4DFmEFi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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf687950>"
      ]
     },
     "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_stripe-82_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n"
     ]
    },
    {
     "data": {
      "image/png": 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iP49fXa8e5TlZfN3iwjsn64dqaY9V+bwNOK+udSlOH+lcjyy4zRPuOOAi711B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\nuBRFqXdUcCmKUu/8P47R9kJXwEsSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7c70ad0>"
      ]
     },
     "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_stripe-82_pz_accuracy_agn.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks for statistiscs on number of estimates with secondary peaks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_frac_sec_peak = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    \n",
    "    galaxy_frac_sec_peak.append(mpeaks)\n",
    "\n",
    "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n",
    "\n",
    "agn_frac_sec_peak= []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    \n",
    "    agn_frac_sec_peak.append(mpeaks)\n",
    "    \n",
    "agn_frac_sec_peak = np.array(agn_frac_sec_peak)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/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": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PPshf//kPqrLS2aFpWpMTi4VhL7yAi48PR378kZTvv2/yfex7/XXKcnLoMGYM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\nEZrUlVJKKYvQpK6UUkpZxP8H6xgbI99TeZsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17367210>"
      ]
     },
     "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_stripe-82_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": {
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