{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SSDF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SSDF Photometric Redshifts - V1 (20180612)\n",
    "\n",
    "SSDF/master_catalogue_SSDF_20180221_photoz_20180612_r_optimised.fits\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_SSDF/data/master_catalogue_SSDF_20180221.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_SSDF/data/SSDF-specz-v2.fits\n",
    "\n",
    "#### Templates used:\n",
    "\n",
    "- EAZY Default\n",
    "- Atlas of Galaxy SEDs (Brown et al. 2014)\n",
    "- XMM-COSMOS Template library\n",
    "\n",
    "#### Filters used:\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| CTIO/DECAM             | decam_g        | Yes       | Yes   |\n",
    "| CTIO/DECAM             | decam_r        | Yes       | Yes   |\n",
    "| CTIO/DECAM             | decam_i        | Yes       | Yes   |\n",
    "| CTIO/DECAM             | decam_z        | Yes       | Yes   |\n",
    "| CTIO/DECAM             | decam_y        | Yes       | Yes   |\n",
    "| VISTA/VIRCAM          | vista_j        | Yes    | Yes    |\n",
    "| VISTA/VIRCAM          | vista_h        | Yes    | Yes    |\n",
    "| VISTA/VIRCAM          | vista_ks        | Yes    | Yes    |\n",
    "| Spitzer/IRAC          | irac_i1        | Yes    | Yes    |\n",
    "| Spitzer/IRAC          | irac_i2        | Yes    | Yes    |\n",
    "\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in either any of the optical r-bands.\n",
    " - Sources must also have S/N > 2 in at least 4 bands at different wavelengths for a redshift to have been estimated (i.e. multiple r-band detections count only as one). Multiple detections in similar optical bands do not count due to the issues described below.\n"
   ]
  },
  {
   "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_ssdf_20180221_processed.fits.mod')\n",
    "photoz = Table.read('full/photoz_all_merged.fits')\n",
    "\n",
    "best = np.abs(np.array([photoz['chi_r_eazy'], photoz['chi_r_atlas'],photoz['chi_r_cosmos']])).min(0)\n",
    "good = np.logical_and(best != 99., photoz['chi_r_stellar'] > 0.)\n",
    "\n",
    "z_spec = photometry['z_spec']\n",
    "AGN = photometry['AGN']\n",
    "\n",
    "zs_gal = np.logical_and(z_spec >= 0, AGN == 0)\n",
    "zs_agn = np.logical_and(z_spec >= 0, AGN == 1)\n",
    "\n",
    "photoz_hdf = h.File('full/pz_all_hb.hdf', mode='r')\n",
    "#photoz_hdf = h.File('../NGP/full/pz_all_hb.hdf', mode='r')\n",
    "photoz_pdf = photoz_hdf['Pz']\n",
    "photoz_zgrid = photoz_hdf['zgrid'][:]\n",
    "\n",
    "#photometry = Table.read('../NGP/NGP_processed.fits')\n",
    "#photoz = Table.read('../NGP/full/photoz_all_merged.fits')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\chi^{2}$ Properties\n",
    "\n",
    "#### Distribution of normalised $\\chi^{2}$ \n",
    "Due to the number of filters used per source varying between template sets and between sources themselves, in the following plots we use a normalised  $\\chi^{2}$ defined as $\\chi^{2}_{\\rm{r}} = \\chi^{2} / (N_{\\rm{filt}}-1)$. However we note this is not the formal reduced $\\chi^{2}$ and therefore should not necessarily be used to judge the goodness-of-fit for individual sources."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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D6B2+7gdsjtl3S1jWXPmWJOUiOUHT7YhkL/ic7u61ZvYvwDIz+0vsRnf3MDBl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f71f7f6fe50>"
      ]
     },
     "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_SSDF_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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YIBwOy51kXV0dsViMfD5PLpcjm80SjUaxWq2yl57D4eCRRx7hfe97n3Rw03eP\nRwOJRAK3282qVatwu90zG6jROZkbMVZpzlLDEWE2i9fZ7pCn5xgrc5fTFXxGRkZIpVJEo1Gqqqow\nGAxTFrvFYpHx8XFKpRILFiwgEAgwOjqK3W7H4XBIp5hOp3E6nTJiI9IkYmyLxcLg4CAjIyMEg0G8\nXi9jY2MMDQ0xMTHB6OgoqVSKVatW8eUvf5nGxka+9KUvsXv3bs4991z0ej1XX301CxYs4LLLLqOt\nre3g18LWBHoLLPu3OecsQXOYJyRmu2KdjTFPd76VmpNCKMBqtZLJZAiHwxiNRkqlEkajkWAwSDKZ\nJJ1OMzAwQGNjI/39/VitVgqFAjabjZ6eHv72t7/hdDq58847uemmm/ZrxXUs0NTURDabxel07m+g\n6eHJomejCy7+PaglzVlqOCIcTFd5Jps72HGRrxe7OafTSbFYJB6PT7F5ocRjt9txOp1YLJYpcpVi\nTkNDQ5hMJoxGI4ODg3g8HilNKUpKRINng8FAV1cXGzZsIBKJyHylIO2JbiUGg4F0Ok13dzcALpeL\n2tpaGhsb+cxnPgPA0qVLufjii1FVlbe+9a2cccYZtLW10dLSMqXl1xQk9k72sKy/FK7ZCfbWo/Un\nOqqYsw5TUZRm4BGgDlCBB1VV/fbxndXcwGxWrNMLnGdi1lXqwoqQznTRZpvNRiwWo7+/H51OJ3MX\ntbW1DA0NUVNTQ3NzM+VymUQiQSAQkMXRwWCQP//5z1x99dU89NBD1NbWUi6X99tRHqhEpPL59JvL\nTDnMynPmz5/P448/Tmtr69RzRc7S3gIX/mbSaWqYFTSbnDk0Cq/tDg8lKlBJ2JmeJhD26PP5ZIRH\nKGO1tbXhcrlkiYnL5aKhoYFEIgFMEviEgs/4+DgjIyPSHkKhEOFwmGQyidlsZmBgQIZms9ks4+Pj\ntLS0EIlE6O3txev1YrfbSSQSDA8P43A4iMfjsltQLBYjnU5LG7RYLHR1dbF69Wq8Xi/V1dWk02l0\nOh0tLS10dnayYsWKAzvL7odh3cfgrO/B/I/MWWcJc9hhAkXgNlVVNyqK4gQ2KIryjKqqO473xI4X\nDid3Ob3AWThB4XwEKSAcDuPz+WRBc11dnRzDYrHIVa/JZCKfzxMOh9m9eze1tbXY7XaWL19Oc3Mz\nW7ZswWAwYLfb2bt3L3/84x9JJpPcf//9rFmzRoZfp5eDzPTaoZ4DMmd6oPfU1tYyMjJCOBzG7/dP\nXq9Kgo/v23b7AAAgAElEQVSxCsp5ymXrCVnjd5xw0tjkkbS+gv13lJWLVyG2USgUpjQorxxH2J3Q\nNa7UXxZjiLIsEfoUjsnhcGC326mrq6OtrY2enh4mJibIZrMYDAZyuRwjIyPSXkOhEL29vej1elpb\nW6VTHBwclCVdO3fuZHR0lCVLltDT00Mmk8Hj8aAoitx9wqQ4iRAcyGaz8v9CGaiqqor6+nrOOecc\n+X1XrVpFR0cHTqcTk8k083WuJPjkokfjT3tMMWcdpqqqQSC47/8JRVF2Ao3AnDTON6K4+mC5y+nN\nmC0Wi8x9lMvlKVTzSpUeMa7IR8BrCj+hUIglS5Zgs9lYsGCBDBdZLBby+TzV1dWYTCb6+vrYuXMn\ndXV1dHR08Pjjj8uOBYsXLz4wG+4Y4fe//z333HMPq1atkiFjhy42I8EnvY/oBKdejd/h4kSxySNJ\nRcz2PYcSPhflVSL3ONM4tbW1U8QEgsEgmUxGKuMIVvno6KgMjS5YsIB0Ok0ul8NisRCNRgkGg9Jh\nwmRP2fHxcebNm4ff76dQKMg0ytKlSwkGg1RXV5NMJhkeHpYlYXq9ng0bNsiaTMGizeVyUoNWIJvN\notfrZd9aq9VKU1MTTqeTjo4OOjs7MRqNOJ1OuauslNGcgjkid3c4mLMOsxKKorQBK4FXZjh2E3AT\nIH9wxwOHSx2vJNbMNudxMGMVny8YcuVyWSbqAVkPKRhqIoQkchrFYpFIJMLw8DCqqrJ9+3bMZjMw\nWaslCD2FQgGj0UgoFEJVVf70pz9RKpXo6+ujUChISa0bb7yRxYsX7xdOnSm8Oj1Eq6rqlNdmOmd6\nGFec87vf/Y53vvOdLF26lF/84hd4PB5sVis8c/GMbNgTvcbveGEu2+RsbHE2f/eDNRqYCTqdTjrD\nyhRHJZlneomWiOIYjUZGR0dlqYfP55NRlPr6ehKJhNxxAlRXV5PP53G5XLjdbmkPwWAQVVUle/as\ns84ik8kQCAQYGBiQu1e73U4gEMBms2E2mymVSsCkXQnbFjnZcrlMLpcDJtnpDQ0N1NfXYzAYqKqq\n4uyzz2b+/PlSRai9vV1+zgGv1+jfTzhnCSeAw1QUxQH8Avi0qqrx6cdVVX0QeBBg9erVR59uOUvM\n9sYrwqCiX+ShjHsmUk4lxG7Q4/HIVjtCHSSfz5NOpxkfHyeRSMh8hxAgEGofQvIukUgQDoelAkdV\nVRVms1mOtWfPHkZGRrDZbKiqytjYGMlkkkwmw/DwMBs3bmTdunVcdNFF3HfffTJsc6jw6vTXppeR\nzHSO0Wjc77VEIsGHPvQhlixZwg9/+ENaW1tfe8+Za2Hz5+H8n00h+JzoNX7HA3PdJmdjiwf7u1cu\nUqeT4A4VPRLjinZXlblKYcci7yd2b2JhKlrYidpHESVKJpMYjUZSqRSpVIrx8XFSqRTFYlGWbTU0\nNBAIBKiqqsLlcpFKpZiYmKClpYXe3l4ZRTIajXg8HtxutyzFslqtmEwmfD4fpVJpSg/Muro6bDab\n3H2KzzrjjDNYuXIlHo+HJUuWyNIxofQFMzeSl/CshsW3g9l7wjhLmOMOU1EUI5OG+WNVVX95vOdz\nMBzpjfdQxn2o49FolEAgIPOPYh7lcpnq6mrGx8fp7e2lUCiwaNGiKTJ3NpsNu91Of38/uVyO8fFx\nisUiuVyO1tZWPB4PRqORsbExEokEv/nNb0ilUrKbuug8oNfrZahGdCd58MEHcbvdOJ1O3G43Pp+P\nxYsXH7NwdSwW413vehdjY2P8x3/8By0tLaipQZTgb6HzE+BdPbmz1PC6cCLY5OtdBM0keD59UXsg\nWcnK1IjBYJiSqxTHRSRodHSUoaEhFi1ahM/nk9GgxsZG/H4/tbW1sg2XKPHw+XxUVVVJoY5kMkki\nkZBiA0IPVq/XYzAY2Lp1K6VSibGxMRlZErqxInSaTqcxGAwYjUYZiRKasVarFavVSkNDAx6Ph+XL\nl+P3+1mxYgWLFi2a0he3oaFhP/GTymsGQO+PwbMSqpbAyq8f8d/oeGHOOkxlcmvwA2CnqqrffCM/\n+1jmIyv1IOHQxn2o4zU1NVITUoRExE60vr4ei8XC+vXrpVHApIh6pearx+ORIdBEIiFXtn6/n97e\nXiYmJqbkMrZv347dbicWi8nzkskk0WgUt9vNtm3bePbZ/Z2T6NB+0UUXceGFF9Le3i7bfL0eDA0N\ncc0119DV1cVNN93E9ddfT3ZsL64t10O6Z7Kuq/3Dr+szNLwxNnmsuQCzGX/6InU6EzaZTEpHVdkF\np5Il63a7p+QqBcTO0u1209PTQzweJ5FIkEqlCIfDFAoFKfwh5idY6ZWpCb/fT11dnSTmuFwuenp6\n0Ol0BAIBamtrGRsbY/v27XLxK5ju6XSaQCBAsVikVCpRXV2N1WrFaDRiNpsZHR0lEolIIXaXy8XS\npUtZvHgxCxcuxGazsWjRIkwm0367b7G4EM8ryU8yZ2mphau3T+4uTzDMWYcJvBn4ALBVUZTN+167\nQ1XV3x7rDz6WYs9HOwRoMBioq6uTxiSMTzjlfD5PR0cH8Xgcr9fL8PAwmzZtoqGhgcbGRhm2ra6u\nxuFwSPr60NCQZMwFAgGam5tpb28nnU6zbds2HA4HnZ2dRCIRXC4Xy5Ytk6Fbu92OXq8nFArhcDgY\nGRkhk8kwODjIrl27ePLJJ6d8B7PZjNPpZOHChfzP//yPVBQSKJfL+4VfxU52586dXHPNNYyNjXHb\nbbfxsY99DHNpBM+W69GleyZzlk1vP2rX+xTHMbfJQ9ne63Wos7Ht6TY63SGKdliixlc4xOnM9OkM\n2ng8LnkLsVhMpkbi8TgbNmzAaDRSV1cn9VxHR0cZHR0lnU6TyWSor6+nu7sbvV6P3W7HYDCQSqXI\nZDIkk0kmJibk+GJXuHHjRpLJJM3NzTQ0NLB48WIaGhoYHR3FbDbT0NAgJStVVSUej1MqlSTXwWq1\n4vP5OPPMM7HZbDKiFI1Gqa+v3+96ityt+FtJ8lMlwWfhp09IZwlz2GGqqvoC8MbSK/fhRCCCTM+z\nNDY2YjKZiEQiwGsr2WKxiM1mkyvM7du3Y7FYZAi2v7+fvr4+Fi5ciNlsxu/3E4lEWL9+PTU1NdTW\n1pJKpdi6dSvZbJaFCxfKVanNZqNYLJJIJGhsbKSmpoZoNCpXvhaLBafTKee7dOlSTCYTW7duJZVK\nAZPXOBqNkk6n2bFjB+eccw6vvvrqFHGDmW6MBoOB9evXc9VVV2Eymbjqqqu47LLLUDJDOLZ+GEU4\nS03B56jhaNvkTM7vULY3vUb4cJ2nGLeSlDPbc4U9CUdZyYKdSSmr8ntOFxYoFosypxgMBmXpSF1d\nHVarlb6+PoLBIPl8nnK5TCAQoKurS3IIhJ2Hw2H27NlDbW2tFOqYmJhgZGSE+vp6zjrrLFnuVVtb\ni6qqmEwmKX7ucrkYHx/HZDKhKAqdnZ1YrVaSyaRcPDc3N9PR0UEoFGJ8fFyyccW9p7L9mOBPiLFt\nNtv+2rBzUMFntpizDvN4Yi4QQQ61kp5+4xCvCUMS4VYhZ5fNZvnLX/5CIpFg4cKFNDU1USgUUBQF\no9GI3W6nuroan89HQ0MDqVSKfD5PMplEURROO+00urq68Hq9XH755ZIksGPHDjKZDG63m0KhgKqq\nlEolvF4vpVKJTCaD1+tFURTa2tro6+tDp5vsWuL3++ns7CQej7N582b27NlDW1vbrBYqPT09XHvt\ntVRVVXHxxRdz7rnnotPpKA7+BiU16SzLFz9NOm/EZtifZavh+GOm3d6hbK/SKR1JJKiSlHO451Y6\nW1HKIYQIhCzdTG3y4vE4fX19tLW1ARAMBuWCMpFIEAwGZWg3l8tRKBQoFAqSkSrCrIqi0NLSQnNz\nM1arlVwuh9FoJJ/PE41GaWxspKmpSXILdDodq1evxm63S8UfsSttamqiXC5jNpslgQ8m85B2u51i\nsSh3vIL8UyqVyOfzUu1HpHkqd5L7LRrKRdj7ACeDswTNYc5ZzCQ0UGmIlT9Mwby1Wq3yxyvIBqK8\nJJFIUFNTg8vl4pxzzkGn09HQ0IDX66WtrY1UKiW7etTW1vKmN72JPXv20NPTg81mw2q10traSi6X\nw+PxUFVVhdVq5bTTTmN4eJimpibC4bDs4J7P51m4cCGZTEaGeGCyO4pg+blcLjweD8PDwzz33HO8\n6U1v4te//jUul+ugZSXj4+O87W1vo1gscsstt3DxxRfT2NCATq8nm11IKb0Ifcs/kM4btRrLOYwj\nieRUOtQjOb+SlHM451aeJ4g44vx4PE4oFMJut+/XJi+ZTBIMBgmFQrIVV09PDyMjI7S1taEoCsFg\nEEVRePOb34zdbieTyVAoFFiyZAkAkUiE5cuXE4vFJBteaMA2NDQAk2o+2WyWQqHA/Pnzp9Rgu91u\nbDYbZ511lpSzzOVyFItFgsGgZPFGo1EMBgNLliyRMnqpVIpIJEIoFMJqtUr1nnw+L3vjVl7HKQse\nVQWdYVJ+MvD4ScEj0BzmUcLRJivMJDRwoLyKqL0UTV0TiYTsQiAgtFX1ej2RSESGlUwmE1VVVZLs\nU1NTI2synU6nVP3Q6XTU19eTy+WkPJ6qqlRVVcnPEPkNvV5PsVikubmZ7u5uamtrqaqqkp/T1NTE\nrl27ZE7n17/+NXV1dfz85z+nurr6oGUl+Xye6667jp6eHj772c9OhmSLEarX3YD+7LXQcDZw4+Q1\nNJSnXEsNcwuH2k0eyqaOJBI0m13pTAzYykVpKpWSu7DKcKSoaRavRaNRRkdHGRgYkON6PB7a29tR\nFEX2afV6vdKBxeNxRkZGaG5uJhKJoKoqiUSCdDrN6OiobLgeCoWkXfn9ftLpNA0NDbKspHKnK66f\nwWCQu1hRyiJadIlabJi0YzGm3+/HYDCQz+dxOp1yQVD595jxOvb8EPr/D87/5WRK5CRwlqA5zKOG\no00UqpSvqwx1wGu1l2LFWi6XJTt2OgPXZrPJ91RXVzM6OkpdXZ1kuMViMXkDsNvtJJNJKXhgNBpl\nHkLkJPbu3UuhUJA7TJvNRi6XIxKJEA6HGRgYkEonmzZtwuv1YjQaZRhLhIEtFgvDw8P88pe/JBKJ\n8NJLL+Hz+Q56TcrlMjfccAN//vOfufLKK3nrW9+Kz57Dte6D6LN98OodcMmzUCHDp+0sT1wcLZs6\nkPjHTA65ktgjXhNEmkpkMhkSiQSZTAaz2UwymcTtdtPd3S01V10uFxMTExQKBbnThMkoy4IFCxgd\nHWVkZIRyuUxDQwOKosjmzrFYjB07dmC1Wmlubsbn80lBgt7eXtl2z+v1UigUGBkZoampCb/fDyAd\nr5C6FNEqr9dLIpGgXC5z9tln09jYSKlUwmQy0dDQQCwWk/cd4XgB+vr6ZCeU6dd2v/Kanh/Cyzcy\n2fz5CWi9/oj/dnMNmsM8QhxMhPloQZRyVNY6wWTtpRAb8Hg85HI5mfQX0lzlchmXy4XBYJA70aqq\nKqn/KOafyWTo7++XeQyv18vpp58uSTx9fX0oisKuXbuw2WxUV1djNBplSCiTyWA0GimXy+zZs4fh\n4WEaGxtxu92ybuz0008nHA4TCoXYvn07oVCIwcFBMpkM27Zt4wMf+ACrVq066LUoFAqsWbOGxx57\njLa2Nq688kpMxQj2l2/GkB+kVHU6+vN/Lp2lhhMfh2NTB9uNVmomVx6bqdNIIBCgr6+PlpYW3G63\n1H0VbHRBUstms1I8QJBhBNO0WCzi9XqJRqNUV1dTKpVQFIXBwUH6+/uZmJiQodUXXniBfD6Px+Nh\naGhIplVgsra4WCzKKJPgFtjtdpqamjAYDExMTBCPx9Hr9aiqSjqdJpVKycbu4roEg0EZeZqYmMDp\ndEpHPTw8jF6vl2UkkUhEymmGQiFJPJp+nQECgQA7duzA6/WycOFCXNFfvuYsT/vaSeUsQXOYh8SB\nDPFgIsyHM87BcKAbRk1NjSxcFqtNq9UqaepiN1cZ1k2n09TW1ko1IJGHEey5YrEolXtEvgXA5/Oh\n1+sZGhqSjW0HBgbo6uoiFotRV1dHOp2mt7eXWCyG0+mkubmZ5cuXMzg4yLJlyzCZTBgMBnp6ehga\nGiKRSJDP5+nq6iKbzXLzzTcfNGc5MjLCe97zHp577jkaGhq48sorOW1hLcvCN2POD1JwLkevsWFP\nOhxOhOBA4gIijyfeI5xIVVWV/I1bLBZZxvGnP/2JfD4v65OFXRiNRhky1el0dHV1YbFYJDnObDZj\ns002dRadQBKJhOzyIWylr6+P8fFxkskkXq9X7hyXLFlCOBxGURQGBgZkneRpp51GuVxm165dNDY2\nSlUes9nMnj17pG1VVVVJsQLhMK3WycYCHo9Hlp6kUilJ5hFOsbq6msbGRuLxOOl0mrq6Oqn6NTg4\nKLujCLUiQWDS6XRs27aNHTt2sHTpUpbZN8HmT3CyEHxmguYwD4EDhYUOd0d5pIy+Suq8GEfQuXt6\neiRrbXrdV+VnzPTZQtFD7EQtFotcwRqNRnK5HI2NjcBkCNjv9zM0NCRFmUulEgaDQXZyF3T3888/\nXzakzefzbNy4kdbWVsxmM2azmZaWFiwWC5s2bWJsbIzLL7+c5cuXHzBnGY/HueCCC+jr66O+vp4z\nzjiDc845h3mdp2Ps7aSU86K/9Fl0lhOzrkvDkUPsvNLpNDU1NVO0TyuL6B0OB3V1dbLpOUzmwsWi\nMhQKMTw8TFdXFwMDA1RVVWE0GuXnDA8PSwm5iYkJUqkUe/bsIR6PSyUrwR0YGRmRqQzR/k4w100m\nk+zyI2QqBRFPVVVp16FQSMrgDQ0NkUqlGBsbw+12S8b5nj17GB8fp729XTLcBwcHsVqtAJKfUCwW\nZccTl8tFe3u7XOCLRanVapUNp4WDFLKYgvxTGdqNRCJ4PB7JkI1GJ7uMGNwLweCApXeclM4SNId5\nSBytUOuBxjmc8hFgyv+tVqv84VYSgOC1Xe/0GjDxmYJWn0gkZKNaAK/Xy8jIiAxFlctlMpkMer1e\nFlG7XC6cTidjY2OyxlMom3i9XsrlsmwtJD7D4XBIll9bWxtPPfUUkUiEL33pSwe9bl/60pfYs2cP\nZ599NvPmzeOK85exavl88mUD6dWP4bAZtZ3lKYp4PM769esxGo1ycTk0NITBYKC1tZVsNksoFKKl\npQWDwcDu3buJx+PU1NRIrVYRUUkkEphMJlpbW2VoU+wgd+/ejaIorFq1CqfTidFolDvOVCpFfX29\nLK8SyjhjY2OEw2F6enpk3XIul2N4eBiXy4XJZJKOeO/evfT19ZHP58nn85KNKvpbJhIJ6ZQFy7ym\npmZKZ6Lh4WEpjZdOpwFkXbTH4yGVSkknajAYZKqn8p4gdsk1NTVyfJPJRDabJRAI4Ha70el01NTU\nkMlksFqthMNhgl1/5DvbtlH9hS9w1tU7wNpA+jBrXE8UaA5zBkx3YrMRRT/UGJXjVB471DiVtV/p\ndFo6PpFXcTgcUxix4XAYeC2cVZkHFYQGi8UiS02y2SyZTEbmPy0Wi9SUFbWaJpNJ5lbEjUWv11Nd\nXU1tba28IcGkao/47KqqKiYmJgiFQhiNRhKJBIsWLeKb3/wmv/rVr/jmN78p++dNL/TW6XRs3bqV\n++67D5/PR21tLdddfQ5Xm/8bZehnpM/5NWWdhbLBwcllkhoOBWE/yWRShiNrampIJpMMDQ1JBxoM\nBtmzZw/p9GQDZpPJRF1dHcPDw0Sj0SnhVLvdzvj4OBaLhZdeeom9e/cyNjZGNpuV7FSz2YzFYqG3\ntxeYvAcYjUa6u7sZGxuT9Y179+6V3XOy2SylUolEIsHTTz8tIzEiMiPafXV2dtLV1SXTK0L0o1gs\nyhBxMBhkZGSEVCqFwWDAYDBI8pHBYCCRSMg6zp6eHpxOp8xlut3uKXrRwlkqikKxWGTbtm2SsVtb\nWzuF7SvITQCLFi2SrFmTycRC49+44br1/PvjNn71q6UsW/ZFOIZKaccbp4zDPJwc4kxkgNejSDL9\nRzOT6MCBlEcqC60rCUCiH57ZbJbO0GazydBJ5Q9efE4kEiEQCOB0OqVxVEp1jY2NYTabKRaLmEwm\nXC4XkUhEUsqbmppQVZWamhopzC7o9UJ+T7B3fT4fVquV+fPnMzIyQn9/PyaTiUcffZRf/epXfPKT\nn+SWW245YEeTYrHIpz71KdxuN83NzZx7egtvNX0Dcz5A3uRGpyAJTiebUZ7KOBBztfI1IRYA0NHR\nIVmdyWQSv9+PyWSiublZFvVbLBYZZgyHw2zatEk2K6ipqaGjowOLxUI4HMbtdhMMBgkEAkxMTDA2\nNobdbken09HX10epVCISiciyqpGREQwGA4VCAbvdLmuRxSK5Ug0nm83KVEhfXx9ms5l58+aRzWbZ\nvn07kUiEWCwmmewiqpPNZqWt2+12RkZGKBQKwKQ83/nnn8/w8LAUUB8fH2f37t0UCgXa2tpobGzE\nZrPh9Xoli93lchGLxeSiYt26dRiNRnw+Hz6fD7/fT09Pj5TGE3q1gqA0ODiIP/MH6gz/gwIYdCo5\nVZUtx+DkLOc6ZRzm4eQQpzvD16NIUum4RKhkuhrGdOWRmSS/xDmik7pYnYrQqyAjVO4qR0ZG8Hq9\n8qZRU1MjV9XCAIRzCoVCFItFampqmJiYwGAwyDCSaBckarksFousyRT5D9HLTyCTyTA6OorP52N4\neJhYLMaWLVv4wx/+wNve9ja+/e1vH7Sx9Fe/+lVefPFFamtrWb2knk8u/BmWQpi8Yzn98x+iGjuZ\nzMSU7isaTmxUipfDa7Y2fYEp2mAZjUa5exsfH6e6ulrukMrlsmS2DgwMYLVacTqduFwuOjs75QKz\nWCzy97//HZPJxMDAgFzYifKnVCol1a66urokIWZ4eFh+hlCtEj0lI5EIVqt1SohWNGauqakhFAoR\ni8Xo7OzEZrMxODhIIBAglUpRU1ODwWAgEomg1+sxGo04HA65MPb5fDIvKr4TTCp7BQIBenp6yGaz\nxONxKZVXKBSor6+nWCxKdi5AV1cXr776KoODg0SjUVnWZTQaZUsx4fhdLhfxeJz6+nr6+/sp7fkB\nhtjXUVD5+tMevve8mcvMIbq7u1m8eDF2u/0Nbxz/RuCUcZiHk4ucLgpgsVj2awB7IEzXeBWOUHQ3\ngMlOA9P77M2k3CN6ZlbOSRAUhDiyyDOIc8XqO5PJUCwWGRgYkDeg+vp65s2bJ4kSgjRRKdaeyWSY\nmJiQcl9VVVWMjo7S3d2NwWDAarVSU1PD6OgosViMdDqN1+uVdHWTycSWLVtQVZVcLkcikaBYLNLX\n18fmzZvp6Ojg0UcfPWiHki1btnD33Xfz3ve+l6GhALed83ecREiZF9HTeD8GnVP2+LTb7ZIdrGHu\nolIpR5BtpttROp0mn8/LNMD0KIz4fYsaRIPBgNvtplwuy1IJcd7IyAiRSIS9e/fKLiCxWIyGhgZW\nrFghGzL39PTwyiuv4PF4JHt1eHhYEuBEXq+7u5vBwUFCoZAU6MjlcpKZKvL0mUyGfD5PIpGgqqqK\n8fFxJiYmZN5SpCjy+TxjY2MoiiLrKNPpNHq9nrq6OpqamqTerAiH2mw2zjvvPMxms6zfFKVjZrNZ\nsoDdbjft7e1YLBZZTz0+Ps7Y2BhOp5P29nZqamrw+/1kMhlaW1slw93n88myM4vFIlMspVKJbDZL\nV1cXhuQOlu5zln8avZwf/X0It1uVCxBBPJrp73+i5zVPGYf5elVBpu/iDoTpzq5yp3monetsylLc\nbrfsUBAMBrHb7cyfP1/eTEQfPr1ez8jICHa7XeZ4xBgwqfBhMpmIRqMyD+LxeKbUawpDiUajxONx\nqcIzNDQka7ay2aysqYxEIrJAuqmpCUVRSCQSdHd3MzIywvj4OE8++SQOh+OAZSTFYpGPfOQjeDwe\nGhsbWbBgAXvcV9Po/i3DrV8nnVSxFgq0trYSDAal5J6GuQvBxhZhU1HmMT2SImTmRBNlIdA/vfhe\nQLC5o9Eo/f39RKNRBgcHURQFt9vN0NAQvb29cgdqsVjweDyMjo4SDAbp6emRpVbhcJhgMEg0GpUK\nPMFgkPHxcfR6PeFwWDZV1ul0MtwrCDQTExNSrSeRSKAoiuwZK+xOMMVFqUl/fz9DQ0Oyy4/P55O7\nOsGaFYuIdDqNyWRicHCQBQsWyN1sPp9n/fr1UuxAfKaQsOzu7sbv97No0SJyuZzkIeh0OkZHRwmH\nw1RXV1NTU4PZbJZ8gbGxMVnbDdDc3AxMalLnbIuIt96GyWLj2V8UGBpaJ8tXBOlwOo5lB6g3EqeM\nwzzSOkixqzxStmylg52ukjF9TLHjSyaT+Hy+KSQhEaoSu7zq6mpMJhONjY2S0SqUPWpra2XT6EQi\nIQu2xe5TUNaLxSKDg4MEg0Hq6urkatLpdMqbSy6XkwLt9fX1siGt0Wjk9NNPJxQKodfrcTqdRKNR\nxsbGCAaDcnGxa9cufve737Fp0yYeeughTj/99P1CNZU5zO9973ts3LiR81a1cfX8XYTd72X1xRdT\ntn2SVpMJ3eAgRuOkRqzVapXkAw1zE+I3LVRiKpmdIj+eTCalnqnItVdXTzKfBeu6r69PLqxEOziY\n7N9aGQUKBALkcjn8fj9+vx+z2cyOHTvYtWsXAG1tbQQCAdLpNP39/TK0OjIyQjgclqxQEaYUzdQr\n2emAdCS5XE469ukQzkOwyN1uN5s3b0ZVVfR6vXQyIh/r9XrxeDwUCgWZJ9Xr9XK3Z7FYmJiYoLu7\nm0wmQyaTkaLpommC2+0mHA6zY8cOGhoaiEajktAkmk+L+43ZbJbOfd68ebJJ9MaNG/H5fFPECnQ6\nHW28wJihDr3/LFTdnRR0OiyWe2U+d3BwUOpEi7+PwLEQdjkeOKkc5sFCpjOFOQ80xnR264F2ljM5\n4enydIcae7pTHB4eJp1O09HRgdvtBl5rKyRUerLZLC6XC7fbPSXnI4qydTodzc3NlMtlyU4Vn1ku\nl+0DpVcAACAASURBVAmHw9hsNknYGR0dlexXn8/HyMgIsViM+fPnk81mqaurY/HixcTjcZqbm1FV\nFafTKcNnghQkQj2ilnN4eFhS5c877zxuuOGGQ/4Nn332WS5Y3c5jHw3R4HyCodqlTEysIp/P43a7\nmTdvntylHOg6a5g7EPmv6XXE4jedy+XIZDLYbDaZU7fb7YyOjsq6QrHz9Hq91NXVSaanCFkWi0VW\nrFgh83gDAwMYjUb6+/sxGAxks1mGhoYwmUysX7+ebDZLY2OjLPtIp9OSYVoqlbjwwgt54okngMnS\njCVLlvCxj32M8847T7bIEju8cvm1Xq1i4ZdMJqWgSCQSIRKJEI1GicVirFixgvHxcakz29LSIusk\nRW2l0WhkdHSUcrksd9dGoxFFUejt7ZV2J2QzRf2n2JXW1tZiNpvR6/V4PB7Ja7BarTgcDpmqEQzZ\nSCSCyWTC6/XS1dXF+vXr6ejooLa2Vi7ObaH/H2XdR/HonYyc/VcSBZtsQG0ymcjlcrjdbhnOFeVo\nM93rTmScVA6zVCrJ0osjxfTQwcFWRodDBhK1iYlEAr/fv5/TFqEXu90ua6DECk84S5vNJjusC8cs\njEd0Ta+UxhMQ7YRaWlooFAoyH2Gz2TjttNOkIokI+QoVIFVVMRgMcoeayWRki6JisUh3dzfd3d2y\npkzM22AwSEP97W9/y/bt27n33nvldZi+oKl8LdSzfp+zLBMuNNGvvJn80BBtbW37fadKwQYNcxfF\nYpFAICBr92DqjmNgYED+bQWrO5/PE4/HGR4exmq1yjSAyWQin8/LkOJLL71ELBbjtNNOo729nUKh\ngMViIRQK0dXVhdvtpq+vj6qqKsrlMnv37pW/dVHYn8lkSKfTLFy4kHXr1vHiiy/yhS98gfe+9710\ndnbKZuXTv5MopRLPK9+zfPly2SKrEmKscrnMT3/6U/793/+ddDrNZZddxssvvwxM7vyqqqqknQoy\n3sDAgExt2O123G63dNaiVESv17NgwQICgQCxWIyWlhY6OjrkfUNEfwYHB6VQu6qqDAwMMG/ePMlR\nEP117XY7VaO/Qnn1UyiojNV/FJOrGXs2K/O24p4hIgjiXnEyhGCn46RymHq9/oDlGQfb+VViuoM8\n2MpoNmGGSnmuynqm6ccryTsih9Pe3i7p7GKlDZO6qoKxBpPOQ3QDGR8fJ/L/2DvvwDbLa/9/XkmW\nLNuyLMtLXvFKnEUWCYGEXWaBW6BACJRCAxS4zLZcZqG0hFAoXEahzNKGy0qhFMJqaRhhBYghO3Fi\nO95LsmXJlofm+/tDPAfJToAQ2ib8OP+AFVl+Jb3Pc55zzne43VgsFvr6+rDZbNTW1mK1WsnKymLi\nxIkMDAywfft2UfCZOHEira2tMp8Mh8OUl5dTXl5OR0dHEry/p6eHWCyG1+ulubkZTdMoLi4mIyOD\ncDhMfX09gUCA8vJygsEgtbW1AJx00kk7pJCoz1jTNHwdG3nyJx1U5ELbUD7t1Y8Qjllpb2vDYDDg\n9XopKysTblwsFsNms30H+tmDQ3ECW1tbsVgsggxV60q1IyG+6dfW1tLb2ytej8pcXM0/lX+kQm6H\nw2HpomzZsgWv10s4HBZ5OafTSSAQEL5le3s70WiUtrY2cnNz6enpweVy0draitfr5b777uPss89O\nWtOj3XPgc+pTS0uLXNvIyAhDQ0MiVKCs8pxOp7iDqHvdaDRy5plncsopp/CHP/yBW2+9VWy3UlJS\n5FCshNKViUEsFpNK0mQyoWmatHYVV7q/vx9d1+nv78disch81GKxUF9fz9DQEF1dXWRkZDBu3Dga\nGxtpb2+nvr6e/fbbj3nz5pGRkRHnerY8Qer6S9DQ8Y27mnD5ZQwHAvT09FBcXMy4ceOYPHkymzdv\nprq6mqqqqh0qoiXG3gwA+lYlTIPBIJBq2LEdlorRIsJfJlSws7/3RRZBiUhUg8FAbm6utKLUXEe5\nGKSnp5ORkUEoFKKxsVGqytLSUpktxmIxBgcHZW4yNDQkgAeHw4HNZmNwcFC4YpqmSatFoUkV+ECB\ndAAqKiooKCigsbERj8cTn1d8phXpdrvJysqiuLhYKC3hcJiqqipcLpeAhtSG2NLSIuoofr+frVu3\nMm3aNAENfFFseusPHFgATf5sPNMep3rKfkQiEXFxULMRq9VKaWmpABu+iz03dF0nPT2d6dOnYzKZ\n5HCjADyBQECUbdTMUB18q6urGRoaYtOmTUB8rLJt2zZ8Ph/p6emMjIzQ19cHQHt7O2lpafh8PnRd\nJxAIEI1G6evrk7l/JBIRNHcgEKCmpkYS3FNPPcWpp56Kpmk7pEN0dXWxcuVKNm7cyJYtW9iyZQsN\nDQ0yDvmyyM3NZebMmcyaNYs5c+Ywa9YsiouLsVgsXHHFFZx33nn84he/4LHHHgOQhKkqVMW7jMVi\n4nWrgHe6ruPz+cQTs7y8XIBLuq6zdetWDjroICBu3KDwCEVFRZhMJrq6uvD7/bjdbpqamigpKYmD\nA/UYjsbH0dBpzPwpKeMuITMjQ5DHIyMjFBYWCt0lFosJ5gF2XlnuzQCgb1XChK8+XN6Z5Nw39QUm\n6liaTCZZrG63m6GhIXJzc8nPz6e7uztppqhQeUqVIycnB4fDQSgUoru7m/7+fvldQAQGIM6rUu7o\nJSUlmM1m+d1QKMTatWslwajkPTw8jMlkEmRcJBKJzyzS0mhqahJlkpycHMaNGycowOzsbOGQffTR\nR3R3d5OXl0dFRYXMa5TWZnV19Rd/WLEousHIpXd+yKEVxRx+xi1UZBXJ+1MnbbvdLiLRqpOg0Hxf\ndlLdm0+1e3NomibtQzU/U3O4wcFBRkZGKCsrE0qC6lS0tbUJ2C4QCGA0Gunp6UHXdaxWKxaLha6u\nLvr7+8WzVc3ildyd+s4VGV+pYCn6RSQS4corr+Saa64RX9dgMIjBYGBwcJB3332XN998kzfeeIPN\nmzcD8S5WRUUFlZWVHHvssVRWVsrsVVV5BoOBvr4+uru7GRwcpK+vj8bGRtauXcsbb7wh88/vfe97\nPP744yI1+eCDDzI4OMiyZctITU2VGSDE27SxWIyCggIsFouoe9lsNqkmlYdtS0uLHDAVQEqBf1JT\nUykvL0fTNNl/urq6ZM6ohEJ6PN1sb2qhIe1GnNq79GQczYTPCgTV5dF1nY0bN4pzizKh31FFnhh7\nMwDoW5cwRwuW72xzTBQUGC0O8HVi9IacSCdRJ2kFVIjFYlitVjweDx0dHQSDQSENj4yMSEUZDAZl\nzqLARw0NDQwODmK32ykoKCArK4uioiKZM8ZiMXJzc4lEIpJIKioqqK+vZ3h4WKrW9PR0fD6feFWq\nto7NZhM9WbPZTHl5ORMmTBB0o/o3n89HZmYm5eXlmEwm1qxZIyfXSZMmUVNTg8Vi4fnnn+cHP/iB\n0EjGzDCH2tBWHs8n/Ii1a9ditR7AVF+YjM9UiYqLiykuLpbFrCD5Co2nWtVfBOSCvftUuzfHaNCP\nqmKUmIbiUKo5u5Jo7OjooLGxkfT0dAHE9fb2kpKSIkLnZrNZCPmrV69G13VpZyohjpGRETweD/X1\n9Wzfvl28K08++WSWLFlCVVVV0vVu2rSJhx9+mKeffloSzgEHHMDChQs59NBDmTp1qlBDVJsVEK3W\nxNjRY/39/Wzfvp23336bxYsXc/jhh/P8888zceJEjEYjf/rTn3C73bz33ntAPEEreodqAytlIYXU\n9fl8InmpQENKg9blckmXSiXc1NRUent7ZZYZjUZxuVxUVVVRXFxMtO5RclueoMNxC0OxDKI5p1P0\n2aF5aGgIk8lEYWEhXV1dTJo0iddee000ahWXdTRKdvQ9sbeuwW9dwoSvtjkqU+WRkZGdciB3R05P\nJc22tjYBH6g5ozrBKlCAUgVJlJzbtGkTkUiEzs5OAdSoa+rp6WHz5s2YTCZaWlqkMlVtWgUhV+II\nkUiE0tJShoeHicVi0sZSnDKlyKM2oEQXE+VrqQjjoVBIrIeUZJbL5cLpdLJ161ZSUlKoqamho6ND\n3E3UiRaSKSQMtcGbh6MFGrB0/5aCgnwOP/xw+ZubN29mcHBQVIoAqXDXrFkjC125qnxR7M2n2r05\n1AFJrR8lQdfa2orL5aKiooKmpibWrFkja7K6uhqXy4XX68XlcmE0GvF6vTJm8Hq9hEIhHA4HJSUl\n1NfX4/P5hH4xMjIiNlc9PT1SmUajUY499lguv/xy5s+fL5UexBPlDTfcwPLly0lNTeX000/ntNNO\nY968eUKr+ibCarUyd+5c5s6dywEHHMCCBQs455xzkgA/zz33HAcffDBer1feq9KlVZ+REipQQvAK\nEJWdnU1/f78AIIPBICaTCYPBIJ/XyMgILS0tbNmyhebmZrxeL1arla6uLjwf3o6z/w40dIK9f8GX\neaxIbiqbMoXWLywsZPXq1dLBcjqdOJ3fbtegb2XC/Cqb41d5zlfRlP2i1wsEAmzevJnW1laZMZpM\nJjnVKUSfciBITU0lLy9PCNFqrrBlyxasVitFRUU4nU6hm6xevRqfz4fL5cJut+N2u0XGy26309/f\nT1dXF+3t7RQVFZGenk57e7skuPz8fEHVQjwZNTc309nZyfDwMFOmTCErK0tg/Wr2ow4YQ0NDrF69\nWnibPT091NXV0dDQIJJlaWlpHH/88Tv4cNvgjcPQAg1EMqdz2IUbKK+eRXZ2tvDhJkyYgN1uFxFq\nVWkkfs5K8ejLYm8+1e7tob47Ja2oKkTVGejq6qK4uBiv10tTU5O447S2tgr6VKlRqdan6i4or0pl\n2OzxeKSt6vV6OeGEE3juuef4/ve/zwMPPDBmlh6Lxbjyyiv5/e9/j81m48Ybb+Siiy5Kmo2rSu6b\njoMPPpgjjjiCNWvWJD2elZXFkUceySOPPILRaBSLLjWHtVgsgpDVNI2JEyfS29tLZWWldF+UQpDS\nkAXG6NqqDpbdbo9Xi5YPmWh6GQ2d9YYzeG51KqWlDRQXF8uep/YBZWuWlpbG9u3bhQ6kVMy+rfG1\nE6YWLxMu1XX93m/wer6R+Cqb41d5jpqrqJmZAhSN5gAmSuFBMuBHCZzn5uYKT1Kd+NQpWEHtPR4P\n7e3t2Gw2MYuFz8nRTqeTzMxMqqqqCAaDYkJbVVVFW1sbAM3NzQSDQZmdGgwGXC4XNptN5hrK5US9\nNiASW2pz0zRNIP4qFKAiLS2NrKwsOjo6yM3Nlc1K8S8VX2zVqlXcdtttItquPhtD0I32WbLUHbN4\noe9Cegd+yvzCQtxud/yk6/Ewf/58bDYbbZ+hZEtLSwU0oriqiZ/7/++xJ67JcDhMZ2cnIyMjogQz\ndepUXC4X/f39tLe3E4lEyM/PF09HtdZ8Ph/19fWkpaUJylOB4xTPV405NE1jeHiYcDhMdnY2breb\nCRMm8Le//Y3bbruNyy+/HKPRmFRVBgIBLr74Yp566inOP/98brjhBlJSUjCbzUmKNX19fWMO1t3d\n3Un3nc/nG1NdDQwMJClaqc8jUWhDHY4TKVMQB/2kpqaiaZrQV5RIASDCJZqmEY1GhWKm5piapuFw\nOAR3oNS4lM5uaWmpVPCNjY2M09/lBwUvoQHe0qtp8MwlNfVjkfN77bXXOOSQQwiFQmzevBm73Y7L\n5WL58uWiGqY6a99GDVkVXzth6rqua5o2R9O0hYD/s8de/caubA8Ihbrt6OhgeHiYkpISmROqBaWE\nABIFERIBP9XV1UQiEbq7uyXBKaud7du3k5aWRnl5OU6nk97eXtra2rDb7aKyYzQaKSwspLe3F4fD\nwfjx46Xa9fv95ObmYjKZqKiokBN3MBiUa7VYLBQUFJCXl5c03O/v7yczM1PAQ4pzGovFSE9PF03M\nRGkvl8slsHeFyCsqKqKqqootW7aQkpJCe3s7AK2trUybNk0cSRI/U83iBPtU9BQ7HP5PXjzvcpxO\nJ6Wlpei6jt1uF8Nem80m6F9VSa5fv14cHb6jlHwee+KaVCOBxsZGPvjgA0wmE5WVlRgMcfu2oqIi\nSXSq29HX1ycIUjVjV9qqag6vZnqtra3EYjE6Ozvx+XyEw2Hp3Gzbto2XXnqJY445ZkxC0nWdCy+8\nkGXLlnHjjTdy3XXXAYhGbWKotmdiJEpdAuJjOfq9j060ygko8Wclh5cY4XBYqGFKDD4UCsmMtvUz\nxStV+QUCAWlLt7a2UlxczPTp08nPz8dutxMMBmlvb5exiQJWGQyGuN8mWQxHrbidP6Zh5AgCgU7Z\nezZu3EhtbS3hcBir1SpqX0oZyOVyUVJSQl5eHhkZGd8lzC+IFUAK8K21jEhUrvF6vVJdJrq7K+pI\nYuWpHgfo7e2lq6tLgD8DAwMUFhYKGT8vLw+TyYTH4yEzM5PCwkKGhobo7e0VEE5zczPbt2+X1pXb\n7cbj8VBXV0dJSQn777+/qOAopKziiBkMcZF25b3X2dmJ3+8nFotRWFgoG0QgEGBwcJDc3Fyys7Mx\nm83yniORCKmpqeTn58viicViGI1GWlpaZKayYcMGPvroI9ra2nj88ceTN5qhNtDMYM2D+csgOgTm\nuJ1SWlqaKJFYLBYBOihxaFXdq6pCucx/F2Nij1qTuq7j9/upq6ujpaVFhAc2bNhAa2srVVVV5Obm\nCkFfVW7BYJC8vDxsNhuVlZU4nU4RP2hoaBCfyfT0dDo6OqRyVA4j7e3tvPfeexxwwAE7vK7XX3+d\nZcuWcf3110uy/E+EIv+Pjp6eHgG5paWlYbPZ8Pl8FBQUiKNQZ2cnmqZJ9V1eXk5PTw9+v5/29nby\n8vLo6+ujrKyM9PR0vF6viJHous7AwACh7o95f3O861TbfDTT99uH7u53hLaiuKQKna80c5V8YGtr\nK5mZmUydOpXjjjvuS8F3e3vsbsLcCpwFpAE68PhuX1FCaJr2GHA84NZ1feo3+dpfNUwm0xg5NjW/\nUwNwm83GwMCAzNcKCgpIS0ujvr6enp4esdgpLi6mo6OD2tpauZHD4TBdXV20tLSwYcMG4Tap06PX\n65WEpxzgo9Eow8PD+Hw+cS5ob28nGAzKpuTz+dA0TVwQent75bTb2dkpm0owGJQTP3zeTlacTfWe\n1alYCQYoXqciPWdlZeH1emU2m56eLtwv4POZpTENDl8BqblgjL/mlVdeybHHHsvatWspLS0VYENJ\nSQkdHR2kp6cLUV357Sn3+O9iTPzL1uTXWY+qSnE4HJSXl0vXYurUqdL6V4jW2tpa6uvr6evrY9Kk\nScycOZPMzEwGBgYE5arQ3z6fj2g0KiOG1NRUmYeWlpYyadIk5s6dK4fWUCgkSjy6rnPTTTdRUlLC\nZZddliQm4vV6x4wiOjo6xqA+Ozs7kw5sfr9/TJWo5OgSQ6GDE19n8uTJYyrguro66urqyM/Pp6Ki\ngrS0NGprawVsA3HE7cDAAIODgzgcDnw+nziMdHZ2snnzZqxWK7quYzabBclqtVppamqiOuUDLj10\nHffqDp5cV0m3L4tPPvmE5uZmrFYrkydPJicnh7KyMoaHh8nOzqazs5O8vDxWrVol4L9AIMCaNWvw\neDwUFBRIG/rbWGnubsI8D+gCbgN+vPuXMyb+DNzHLi76XeXcfdnzVRsz0cBZ8cMUdwziCDgF51Zo\nVrfbjdfrpaCgQIb0CtLtdrvF1LW5uVkqTEW6VnY6ZrMZl8slyNeWlhbq6+vp7OyktLQUgK1bt4pw\ne1lZmZwEo9GotDaVuICSvers7BTxa/We7HY7oVCIrq4ugf2r6nJkZISGhgZB5fX394u7hJLtUwty\nzpw50r42jHSgfYaG1R0z0TUjJMx2jjjiCI4++mhWrVolQJCBgQGampqYOHGioB9dLpe0kL8D8ew0\n/pVr8s/s4no0m83k5eWRlpbG+PHj2bhxo3ix7rvvvmzcuJHCwkICgQBFRUUC4ElJScFkMtHd3U00\nGmXDhg1s27aNjIwMadkPDQ3J7DIajYou7bp16/jd736XtGEbjUZZ26+++iqrV6/m3nvvJT09Pel6\nrVbrmISp5qaJkZGRgdvt5pNPPuHEE0/E4XCM6Xgk+lWqGD3D7O7u5sgjj0zad6LRKA0NDeJi4vV6\nhbOqEPKTJk3CYDDQ3NxMJBLB6/XKOi4pKREjbXVNbW1tcugOh8Psk17Dxfuuw6BBfyAoFmQpKSkC\nKNJ1XRJhc3OzGGj/85//5L333mNgYACLxUJ2djb19fV89NFHVFZWjvlMv02xuwmzG0gFYsA3PkzS\ndf0dTdPKdvX3virnbrQaT6JrwujnqEWk2q1DQ0PCS0qkYagkoZJMTk4OVquVvLw8AdQcc8wxtLa2\n4vP52LZtG8PDwwSDQRwOBykpKdTV1QkZefv27YIS7ezsFEFpJSqtWr2KdhEOh5k4cSLjx48nFApR\nV1cnFkh1dXVkZWWh6zoTJ04kNTUVm80mc1hlNu12u8VRQX0WFouF5uZmAWEoazAlcuDz+RgZGeGD\nDz5g06ZNPPTQQ3EpvKRkOQv9sNfRLMnqPAaDgQcffJD999+ftWvXss8++4iPZlZWlojEK7BSZmam\nHD6+EyQYE/+yNfl11mM4HJb7vrW1VaoixRlU6jCVlZWYTCYOOuggETAfGhpiy5Yt4nOZmZmJ1Wol\nGo1KVanrOrFYTOaXqlL7wQ9+sNNruu+++ygtLeWMM8742p/F+vXrueCCC4B4BXr++efv8mts2bKF\n/v5+qRhVfPrpp1IRB4NBMYJ3uVwAIkGZOJZQs1Dl5KP+f3h4GLPZLPvchg0bOHZCFxcf0opBg+uf\nNXLfmyamTcvnww8/FMQ9INqzdrsdp9NJWloaL774Ih9++CHz58+nuLiYZcuWiRi+ooANDg6Slpb2\nXYW5g3gSCAFXEZ+d7BGxq2o/Ct3l9/uTSPCKxqDEniHeUlEtw8zMTHw+H01NTSIlpyx36uvryczM\nlDZsU1MTXV1d9PX1UV1dLaduo9EoswiDwUBdXR0QTyLFxcWCbNN1XSS5ysrKhDfp8XgwmUwifqAU\nN/Lz86Vt6ff7GRoaEmSdAhkUFRWJULWqihsbG+nt7cXpdDJ58mSBoXd1dYlSSkFBgQB/1GubTCY2\nbtzIhg0bOOmkk/jxj+PFjfbhOZIsOfyfkJK1w+9i3LhxvPzyyxx22GEiBK10dLdv347L5ZIqZO7c\nueK3+Z0gwZjYo9bk8PAwH3/8MePGjcNisQgatqGhQcQJenp6hEakaRp9fX0ivh4IBGhoaJAxgd1u\nFx9MQDiKSmP1kEMOoauri8rKyp1ek5qT7w63sqKiArvdjt/vZ/Lkybv8+36/n9NOO438/HwWLlwo\nj0ciES655BJZy4pTarfbxU9THbZDoRBFRUVkZmayZcsWmft2d3fLIdJsNlNcXCxYA2eKhxuPiSfL\na56Bf7ZP54wz9mPDhg0YjUYaGhqAuHh8TU0NhYWFhEIhKisraWxsZOPGjZx77rnccccd8RloKMSr\nr77K0NAQmZmZO5Um/bbE7ibMss9QeJdpmvZf38QF7WpomvZT4KeAtCe/artOVYvq/0f72ind13A4\njN/vp6enh4yMDJxOJzabjUAgQF1dHWvXriU1NZXCwkLy8/Pp6Ohg69atAm/3eDyEw2HZ4BsaGggG\ng9jtdjGsHRoaEvSq0tLs6OjA6/ViMpmoqqoSB5Dc3FyBmzscDuFTORwOaRV1dnYyfvx4aQlVVFSI\nnJ2maRQUFGAwGOjq6hL0rFIbUgAh5Wav5pRKPFud7E0mE+3t7TQ0NLBq1Sr6+vq47777uPDCC6Wl\nE5l1P6b11xDb71EwZhJJmCWpUK81a9YsnnvuOU444QQcDgf77ruvmFI3NTWJT6Dis6pZsfr+vgtg\nD1uTubm5wslVs3zVRszLy2PChAk0NzeTlZWFx+PB6/WiaZpI4ykLr5GREaZMmSJo8t7eXkwmU9Im\nnZKSwsqVK7niiivG0Dmi0ag8NmXKFF544QV6e3uF06xCKUklRk9Pz5jHhoeHWb58OQaDAaPRSG9v\n75hW5MjIyJgZpkK/nnfeeTQ2NvLqq6/KgRjgnnvuoaamBpfLJUbwBkPcUFrJWKoqTnFNFYI2Go0m\nuabk5eWRmpoqtLO4xnMXv309n4DfTfqcX/P+X/5HigGFnF25ciX33HOPqAcpKcHm5mYWLlzIJZdc\nwty5c2lra2Pp0qW8+eab7Lvvvui6ntSJ+7qxJ3eNdoeHeRyw8LOyWwPOAJZ/Q9f1lUPX9YeBhwFm\nz56tj3Yq+aIPP5FikZGRgcvlSvqiVUJVVWVRURH5+fkYDAY8Ho/cnOoG7urqAhAxYq/XKyAZJUOn\nbnq/3y83+ubNm+XvdHZ2AohGpHIHGRoawm63k5+fj9VqFbKwgtcPDg6KWpByblAL2GQyiYGt2+2W\nz0L5ABoMBmlF5+bmiuakQs2+++67pKSkMG3aNMxmMxs2bKC2tlYshN59912RyJo+fXoc4LP9TzDl\nlxgyx6Mf9Dxawme+o1aNeuyoo47iT3/6Ez/60Y9wOp1CmlZw/9TUVDweD729vQL++TaeZL9O7Ilr\ncp999tGnTJlCRkYGIyMjGI1GcnJyxDrK6XQmcXR7e3vloLlt2za5F5Vvo3LqUesvNTUVn89HMBiU\n9u/xxx8/5h5Tzh4AM2bMQNd1mpubpc2pQnVhEiM3N3fMLFLXdRmDQBztOjr5BoPBMYkjFovx5JNP\n8tJLL3H77bdz2GGHieJWQ0MDv/rVrzjhhBNYvXq1VNFpaWliy2c0GgWRHwqF8Pv99Pf3i8qXosBB\nHFCUm5tLbW0ts52b8fjb6eoa4d5/ZPB///d3cnNzOe644xgcHBSVMYWQf+qpp2hsbOSuu+7inXfe\noaenh9NOO41TTz2Vww8/XPaKCy64gEsvvZTFixfj8/k4/vjjBWfwdWNP7hrtToWZAwwDucTnJUu+\nkSvajVCzSPj8g97Zh584m0z04htt8GwwGGhra8PtdpOTkyNEaWVDNHv2bCorK8nOzqajo0PsZt90\nlAAAIABJREFUsIxGI1arla1bt0oFqVpJChikHBaUtmx9fT21tbVJ5GqIJ5Oqqir23Xdf4U8qN3VF\nXHY6nbS3t6PrusC+m5qaqKioELFmQNC8qoWsDgCx2Oeu9gr1u2XLFgYGBvD7/UBcB/Spp57i448/\nFlum8ePHs2TJEi699NL45pCg4KMbrTDhZ0B8g+ns7GTr1q3U19fT3NzMCSecwH777Tfme1y4cCFd\nXV1ceeWVzJgxg8MPP5z29nZisRg5OTlyqv6uqhwTe9yaVGIdZrNZgG6q9acqobq6OkG7KucNVdUZ\nDAYmTZokPpB9fX0iVadkII1GI7quS+KdNm3aF17TjBkzAFizZg3777//v/YDGBV+v59rr72Wgw46\niMsvvzzp384//3xSUlJ48803ZY6ohBT8fr/I4ynJOwV0crvdDA8Po2mayOKpJGw0GjnvcBM/P36A\nC2bBOc/N5e6Hn+Uvf/kL119/PVarlZkzZ9La2sqaNWvEWu2Xv/wlBxxwAOeffz6/+tWvWL16NW1t\nbZx88slMnjyZZ599Fl3XmTZtGpFIhKqqKhobG1m/fj1HHnnkbn1Ge3LXaHeEC5YCS7/BaxkTmqY9\nDRwK5Gia1gb8Stf1P+7s+UroOdETM1EEXYmtqxmkEh9QVaYajCfyKc1msyBLFfgG4htBY2MjLS0t\nlJSUMDw8LFSM5uZmBgYG6OjooKWlBYjzOfPy8qitraWwsBCj0cjAwICgZjs7O2loaGDRokX8+te/\nZnBwkLa2Ntrb21m1ahUPPvigtKCam5ulNWUymQSxqlC22dnZQuBWn4kC6Sh5raamJrKzs6XNq8Sk\nVRvM5/PR2NiI0WgUK7C//vWvNDY2ctJJJ3HiiScyf/78JJ1YfbBVtGF1xyyoPBeA5557jgsuuEAS\nr4q7776bv/zlLxxzzDFjvsuf/exnbNiwgaVLl8rJOhKJUFhYyPTp0yktLd3j2jX/6fhXr8ldXY8Q\nb/P19PRQUFDAtm3bRFh9y5YtUh2qGWVOTg4Wi0V4z0oYXSVQTdOEuqUOlYoLDAjBv6mpKd7p2EmU\nlpbicrn4+OOPueiii3b7c9mVuPvuu/F6vdxxxx1J929TUxNvv/220D9isZggVhX4J1GTNxwOMzAw\nwFFHHcWyZcuorq4mGo2KoIiK//lhLr89yYNBg+HKn3Pvoz9n0aJFvP7663z/+9/n4YcfJi8vD/jc\nFNvtdvPEE0/w2GOPsWjRIjIzM8nJyWH79u1ceOGFLF68WPbVnJwcurq6yM3Npb+/n6lTd5/9tycj\n4HenJXulrut3fDav+C9gk67rV39zlwa6ri/88mclhwKpJFaVKiF0d3dLm1JVkYluJSqZhkIhWlpa\nKC0tpa+vTxJRZmamVKVz5syhublZBJHD4TAej4dNmzZRV1cnyUnRLBwOB263Wyq2goICPB6PCCBX\nVVWxYsUKDj/8cHkv48ePR9M0zjrrLE4++WTOPvtsGhoaqKioYPLkyRgMBnJyckQlxe/34/F4KCkp\nwWazUVhYKK3WxsZG+vr6KCwslMODz+cThF5qairBYBxePjAwIHJgHR0ddHd388EHH9DR0cHVV1/N\nkiVLZEaZKKSeiIbl8H+C2cE///53fvzjHzNt2jTOOOMMiouLmTRpEmlpaZxyyimcfPLJPPLIIwIS\n+ux7x2Aw8Mc//hGLxcLDDz9MdnY2BQUFouKyo2S5J88+/h3xr16TX2c9Kj/M1tZWuru76enpITMz\nk4kTJ5KVlUUkEhEBD6fTiclkoq2tjaysLJxOJ5qmsW3bNnEnUT6YRqMRk8kkSlA+n08Os9u2bWOf\nffZJuo5wOJw0O587dy4ffvih+EyqUKYIiaEOtonh9/uTWrc7EiAIhUJJrdyOjg4eeOABTj/9dGbM\nmCGdrVgsxptvvgkgNn/q4KBasYrGppSPlG3as88+y+LFi7nqqqswGAzC0e7q6iK3/2Ucdf+DBoSn\n3MzrG8q44pTpDA0N8atf/YqFCxdSV1cnPOrh4WHBR5x11lksWLCAbdu28ec//5na2lpeeOEF9ttv\nP6HyAOTn59PZ2YnFYqG6uhqz2fy1eZh7w/rdnZZs8Wf/naPr+vGapv3H9StVdahu+NF8KkCcyhWY\nIBKJyCxMnWxUC9ZqtWK1WkWsXM38FDhoypQptLS0yJxNyd91d3dLG0qpYyjJO1X1tba28vbbbwNx\n4v6vf/3rHV6viiOOOIK1a9dy3HHHUVNTg8PhYNasWVgsFgEGqZNpR0cHEydOFAUf1QZzOByiJTk4\nOCiAiYyMDLxer3jZqRby0NAQ4XCYdevW0dHRwc0338z111+/4wv01sBgY1Ky9Hg8LFy4kMrKSl54\n4QUcDkcSReell17itNNOY9GiRZSVlXHwwQcnvaTBYOCBBx4gNTWVe++9V+yU1LWNNo/ek2cf/6bY\n49ZkJBLhjTfeYP/998fpdDJlyhRBtjY0NIjecSAQkIOe0+nkb3/7m8w7h4eHZSNV1VMgEBBsQeIG\nDvFqbfSGqzSOVcybN48XXniB+vp6pkyZIo+rpJ0YibrRKhQlS4Xdbh8zw4xEIkm/t2TJEqLRKDff\nfHNS8jYYDKxYsYKcnByMRqNUjwohm5qait/vF91ZpS2t6zorVqzgkEMOSXotm82GLSMD7d230NBZ\ny+mcvuAJtm7dysyZM1m6dCkmk4lly5Zx0003oes6U6ZM4dBDD2XBggVS2RsMBg488EAOPPBAef3h\n4eEkWzOXy4Xb7SY3NxefzycI+68Te8P63Z2Ematp2tHEeV+7+1rfSCggi8fjAZBkAMmWW6oFOzw8\nLGAZZfWVnZ0tRHmTycTw8DAOh0O8+Gw2m9A1FN+ot7dXzJczMjKYNWuWtDiVK4CicthsNhnOq1Ck\n4i+K4eFhlixZQk1NDZWVlaSmpgqiTwmlq7lkTk6O8DQbGxuxWCzCCVW80czMTKLRqMxwU1NTqaio\nAD4Xk3c4HLz44ou0tLRwzjnn7DhZxiJgMEHxiegHvYCWOx/McW7Ygw8+iN/vZ8WKFTuUsbPb7Tz/\n/PPMnDmTX//617zxxhtjnqNpGv/7v//LypUrpSJR1cbo2JNnH/+m2OPWpPJ2ff/990WP2Gw209DQ\nIPfhuHHjWLduHX6/H7vdzrvvviv3rJJwAwTsoriF6mCsdFwVSGbSpElfel0LFy7k9ttv58wzz+T9\n99//l5Ptn3/+eZ588kmuvfZaysvLk/6to6ODv/71r1JlK81YJToP8fWvkubAwADBYJCPP/54x5SW\nWARdM/L64Hm89dJmbn/mGSZNmsQTTzzBySefjMlk4u677+amm25izpw57L///qxcuZL777+f+++/\nnwkTJjBv3jxmzpzJUUcdRUlJyU6rxfz8fDZs2EBxcTHhcFhmr18n9ob1uzsL6hbgKOC3n/38j92/\nnN0LBat2Op2MjIwkJaFE/Ve18EpLSxkaGhKpO8VHVMjR1tZWurq65CZwuVxMnjxZ5pTwuZOIUsdR\nxs7BYJD6+npGRkbIysoSzlc0GiUWi1FcXExZWRkbN27kmWeeYf78+Vx44YVjRBMMBgOrV6/mnHPO\noba2Vvw0g8Eg6enpGI1G0tPTGTdunIgjq5lfe3u7mPdOnDgRt9tNe3u7GNump6cLnWVoaCjJh1Lp\nea5evZpIJMI111wzRr4rOtBMynsnEJu+BAqPJ5p3dPz6PwMjPPDAAxx22GEUFxfLyVFRcxLj3HPP\nZfHixbz11lsceOCBUp2r0HWdo48+mrvuuou8vDwsFgt+v19mL6O/4/+PY49bk+np6cybN49Vq1bR\n09PDhg0bBN2tRhWKItHT08O6devweDzk5eXhdDr56KOPpN2Zmpoqs/ihoSG5/+12Oz6fj8HBQbKz\ns/ne9763Q1pJ4trKy8vj0Ucf5aSTTuKSSy7h4YcfRtM0MXBPDNUCTgyVtBN/Hp10FWq3s7OTiy++\nmH333Zcrr7xyzLXdd999ooubkZFBNBoVEXMlC6kE6hUQqrCwkKqqqjEAwUjdHwlvvIsFD2Xx9zc/\npqysjDvvvJMf/vCHQn9ZsWIF11xzDZMnT+aKK67AYrFwyCGH0NLSQkNDAx988AHPPPMMf/7zn4E4\nSnj27Nmcf/75FBYWJiV8hWhWlW9vb68YOeyqsMjesH53B/SzGdic8POL38gV7Uaogb/aSBMrzERV\nH+X3qNR3mpqaZN6nKs20tDSi0SgejweHw4HFYhEOmd/vZ/v27bS2tjIyMoLD4RCIdyAQYJ999iEU\nCuFyuYjFYlKh1tfXiyLGuHHjsNlszJgxg+rqan7+859LW0TF9u3bufnmm3nyyScpKipi2rRpmEwm\nBgYGRF1I13WRt8vKyqKvrw+n0ymtX7/fL0LrsVgMr9crSVLZCqlEqDaj9PR0EVp45513OOuss6iq\nqko+ZQ61kfLOUWiBBgybb0MvPC6JMvL000/T1dXFvffem7SxKPJ1Ypx99tk8/PDDLF68mNdee22H\n1JOjjjqK22+/nc2bN8up97tIjj1xTQ4MDFBXV0ckEpGDmeruqPFGcXGxzNV7e3vx+XxUVlYSDocF\nGaoQoUonWbmWmM1mhoeHBSX6wx/+EKvV+oW0EhXHHHMMv/zlL7n55ps54IADuOCCC7Db7WNasiaT\naYzIgaqAVSiwYWIoEM7JJ5/MyMgIjz/+ODabLSlxDAwM8Mgjj3DyySfz6quvEg6H5W+plqxSQxoe\nHiYSiZCdnc1BBx005j11ffBbXC2/xKpBdXomx95zDz/5yU/EMxTggw8+4KKLLqK8vJzf/OY3SUne\nbrezYMECFixYQCQS4cMPP6Snp4f169ezcuVK3nzzTc477zxuueUW+bvFxcWStEOhkNghAlKI7Olt\n1l2Jb6xlo2naImC7rutvf1OvuauhWq1ZWVlC0o9EIvT09GAymWhpaZG5l3Io37hxI/X19eTm5uJy\nuSgsLCQajeL3++no6MDn8zEwMIDT6ZREpdB96meTySSqN5mZmZLAMjMz2bp1K4DwvZqamgQeryS/\nLBYLZWVlHHHEEVx99dWcffbZ3HbbbTz++OOYzWZKS0s59NBDMZvN9PX10dzcjN1uF8NYl8slxGYl\nlzVu3DiGhoZkw1E3c3V1NSaTSWa5gCj4QBzM0NvbSygU4v/+7/+IRqNjW7GjAD76IS+BZgA9nniX\nL1/OpZdeyuzZs5MOADsLq9XK9ddfz+WXX85//dd/sXTp0jFcrnnz5gFINTJaxBqSQQPAHg8g+FfH\nnrAmh4aG+PTTT6Xzo8BpPp+Pzs5OUlNTxXhYdUaUOIbqeui6LutM6TcbDAYikYiMOwYHBwkGg/zw\nhz/cpeu77rrr+Oijj7j00ktZs2YNS5YsGTOL/LrxwgsvcPHFFxONRnn22WeZMGFCUnWp6zoXXXQR\nfr+f5cuXk5qaKmOSUCgk6xAQ6lcsFqO9vX3Mulr3t58xY+T3GAzwpvdIfrV02ZjW5jvvvMOiRYso\nKSnh2muv/cI2tDKdOOywwzj11FNxu93ccccd3H///RxyyCEcffTRwOf7WiQSEcUv1dWCvaPNuivx\nhQlT07QjgdOA+3VdX6tp2k8/IyXvKF4GZn7TF7irMTIygtfrJSsra0yLtaWlBY/HQ2lpKQ6HQxRC\nBgcH6ejooL6+nvnz5zNhwgThQ+bk5GAwGOjs7KS/v18qPDVTgHibUemqZmZm0tTURH9/Pw6Hg56e\nHhobG9E0TVwbVNJNBCntu+++hEIhbr31Vm699VbMZjMFBQVMmjRJSMXqVDc0NER+fj5ZWVlkZmbi\ndDrx+/2Ul5fjcDjE8SMYDGK1WiksLBQ+XFZWliTMxEWowDiqvdLQ0MB7773HtddeS0VFhSgVMeIm\n5a3D0Aa3E7XPIHLgK6BlQDjMu+++y5IlS3jrrbeYNm0azzzzDG63O6mi3L59O4ODg/zud79j/Pjx\nLFq0CE3TOPnkk4X/tf/++/P8888nQdRVZZqamioUk9GReJoFvlUnWxV745psbGwUT8aUlBRGRkak\nQxIIBOSeAERvtrm5WVqTShBd/b5qdaqZpbqPAebMmbNL12Y0Gnn++ee56aabuPPOO1m5ciVLly5l\n9uzZX/v9Dg0NcdVVV/Hoo48ye/ZsnnjiiR1K9d1xxx08/fTTpKenSwWdqIerkmWisHxVVRVGo5FT\nTjlFXuftpRdwmPmPGAzgKfoF8394y5i/9dRTT3HddddRVVXF008/TX19/S69p7y8PJYsWcLpp5/O\nTTfdxBFHHIHRaJT2bDQaxefz4XA4khLx12mz7slo2S+rMBcBFwG/1DQtG5ih/mG0u7uu627+wzMT\ng8EgmpXd3d10d3djtVoxGo1omkYwGBTeYiQSIRQKCferpqYGt9tNT0+PtIYMBgMOh4OBgQHxg4tE\nIrS1tdHb24vb7SYzM5PKykoBzkB8iK+SVX5+vnj4DQ0N4XQ6KSsro6enRyrCjo4OMjIyKC8vx2g0\nCv/KZDJRUlKC2WwWYFB6eroAHlRLS0nnlZWVkZaWRmtrK5qmCeJQnertdru0pJXhtWrNqs8vLy+P\noaEhnnrqKUpKSrjuuuvQNO3zGU5qLrpzLpjthOa9jCnVydatW7npppv461//itPp5NZbb2XRokWi\nypN4uqytreU3v/kNgUCADz/8kHXr1nHDDTcwfvx4zjzzTKqrqzn//PM55JBDePTRR6ViUO9Hyfkp\nWH/iotrRafbbcrJNiL1uTSrNUeWGoczYlVNPQ0ODrDHVXlUIU4V+VVQjm80miUQdNhWCvaysTOQc\nR7dfR88w4XPeoclkYvHixRx55JEsWrSIQw89lOuuu47LL78ci8UiwLrEUIhVpcbV0NBAT08Pra2t\nLF26lC1btnDZZZexePFizGZzEm/UYDDw6quvcu2113LqqaeKrV8wGBSDaQUsVDiL1NRUNmzYwLp1\n63jxxRdxOBzizHLFrx/n7RvMWGdczVDuuYR7e5Pe42WXXcby5cuZM2cOv/zlL+nt7RUXpMTo7u5m\n/fr10pHLyMhg/fr1Se/9qKOO4rHHHuOPf/wjp512mnTsgsGgyH4qU/evK76umAZqj9qT4ssS5oCu\n6z7gSk3TfgvI8W1PdHdXCDKPx4PdbhcSf1dXF5s2bSIUCon8VkNDAx6Ph+rqaqn8lNqNx+MhFArh\ncDgwGo3iexkIBEQPU23WDoeDsrIykZFTLRflq6cWt7oJlFB0KBSio6ODgoIC0X8dGBggOzubzMxM\nysvLyc7OZubMmWzcuJGuri76+/spLy8nPz+ftLQ0ysrKKCwsxGq1YrFYSEtLw+12U1dXJy4pTU1N\nDAwMCPVktMSX2nRisRh9fX20t7dTU1PD+vXrWbZs2eenxaE2QIO0ImL7/QkiATq7/Nx65X/zpz/9\nCavVylVXXcWll16605t88+bN/OIXv6CoqIiHHnqIbdu2ccstt3Deeefx3HPPMXnyZGbPns0rr7zC\npZdeysKFC3nnnXdEjUXp96q2lJrLfJsqyK8Qe9WahHibPzU1FbvdTltbGzabTRDpjY2N+Hw+AoGA\nKPiEw2GpOBUvUoF7EqtLNXLo6uoiIyOD6dOni4nB6Eh03lFhNpuTHvve975HTU0Nl112Gb/5zW+4\n+eabKSgooKKigqqqKux2O7qu09TUJDN+hVxNjOLiYl599VW+973v7VA3ORgM8pOf/ITp06fz8ssv\ni7C6zWaj97NkFwwGRR0rJSVF9odLLrmEE044AYBI9wf8+McXMhLNI3jE38lwjcfo8cjf7O/v5/zz\nz2flypUsWLCAiy66KOlwPJr+8c9//pOPPvooqUujaRoZGRnMmzePSZMmUV5ezqxZs7jrrrv48Y9/\nTFpaGgUFBSICo5SYvq3xZQnzlYT/vwloH/XvKwAzcSkunT0g2traSEtLkxOnOq2GQiGKi4vp6+vD\n7XaL4zvE9SPXrl1LSkqKWA45nU4hyA8PD0vbVfXqjUajJKG33npL5ii5ubkCEmhoaBCivWqdejwe\nUlJSkrQglbiCxWIhLy+P4uJidF3HZrORmZlJWVkZbW1tOJ1OCgoKRMlHtVlXr16N1+vlkEMOkaRi\ntVpFNDk9PZ2JEydis9nIyclJmjEoGo7Swu3s7GTVqlVYLJbP50FDbRjfPgLQiB66An84gzvvvJN7\n7rmHcDjMhRdeyLXXXitCDTuLe+65h9TUVB577DGysrIoLy+nurqaiy66iAULFrBs2TImT55MQUEB\nTz31FBUVFaxfv14SpjqpT5gwgcLCwqSWsgKUqM1XEb3hW5dQ96o1GYlEiEajhEIhkZNUOIFPPvlE\ngHIK3KLoUqpK9Pv9RKNRUlJSpBWvqFGquuzu7mbcuHFcd911u329DoeDJ554gh/96EfU1NTQ3NxM\nQ0MDr7/+uhzWysrKKC0tZf/99yczM5OSkhJBj6pxj0KI7ii2bNlCb2+v6CMr7mVaWpocGBRgRuEh\ngsEg8+fP5/bbb4+/yPY/Y/twERcfAJPPfA2na3zS32hra+PMM8+koaGBn/3sZ1862w2Hw9TU1DA0\nNMRBBx2EwWCgu7ubzMxMWlpa+Mc//kFpaSk5OTksWLCAq6++GrfbTUFBAUVFRbLW1OFbeeTCWCzB\nl7VclXhD4treU+ILE+YolN0HwNmj/v1fKo23q6HmWo2NjdKa8Xg8eDweAb709vYSjUbp6ekB4qT+\nmpoa6urqMJlMFBcXk5WVJTD3QCBAe3u7aGEqyyG1eNvb24lEIqSnpwuHUykEqRvHZrMxceJEga1H\no1FKS0uJRqOyOHJzcwkGgyJj5/F46OrqwmQyCb9JJdCsrCyplnt6evB6vbS2ttLS0iLI30gkQnFx\nMRaLRay/lCpR4g2YlpZGfn6+kMAjkQgtLS2iMqQPtgrAJ5Y1g5f//ibn/ff/0Nvby0knncSNN95I\nWVkZEG/pjEbAdnV1YbPZaGxs5OWXX+bII48UIJSKK664grvvvluSZmZmJpMmTcJkMolLidFoFJm+\nqVOnCqJZmeYqKLvaSIGkg8G3Jfa2NRkMBmlra8NqtcrhMxqNsmnTJllHKlmoLg3EKyCLxYLVapWN\nU60/l8tFb28vuq4zc+ZMLr/8co488khRn9pR+3U0/QJIcvZQoVCqRx99tABbQqGQyO4pZKp6LPH3\n1M9K13ZH1xGLxaitrQU+F1FRpvGqMlMasBaLRXxhp0+fzosvvhg/bNc/hmH1+Rg0cJVPZ7+5cxka\nGgKgoaGB/v5+LrzwQvx+vxhpb9iwIek6FGVOxZtvvklfXx9lZWXCe1VGDJFIhK6uLjZs2IDZbBat\n3vXr14v1mOK+p6amMjAwINcDY7EEX4acHRkZEZtC1RreU2JXULIXAE9qmva4rut3JP6Dpml/13V9\nrCDovznU3KOwsFBOnZ988gkej4ehoSGKioqIRqO0trbKDd/c3ExLSws+n4/09PSkWYtKIuqUW1hY\nKHMPu91Of38/4XAYr9cryhw2m43h4WEyMjJISUmR+aTf70fTNLxeL7FYjPz8fAoKCujr65PXV4tS\nabr29vbS399PMBgkOzubo446SrwClYzf9OnTyczMZPLkyZSVlREMBikvL8disVBeXo7X65XDQXp6\nelK7RVXiGRkZdHR00NnZSSQSoa+vj8mTJ6MNt4s2bCxrJoH9/sZF++yPy+Xi5Zdfprq6Oglurxzd\nE8Nms2G323niiSeE7zX6OTk5Ofzv//4vZ511Fn//+98555xzsFgslJaWimG2sjMLBoNs3bqVcePG\nyftSr5c4g90TAQP/gtjj12Q4HJZ5vjKFbmlpEdEQFUpAJDF6e3s59NBDefXVV+UQVF5ezpQpUzjj\njDM45ZRTmDx5crJEIzt2xNlRS3a0+g98LrSQGGqGn9g9SZrr83mSG/03R7++pmls3bpVZOzU4V0Z\nJiggk9lspqurC03TqK6u5tVXXyUrKwutcSna6vPR0PnN8jTOvu3FpDUYiUS49tpr6e3t5cEHH2Tq\n1KmsWrVqh8Ihin5XU1PDxo0bZU9RiVTXdaqqqjCbzXz66adYrVaRNYQ42NFms1FQUMAnn3wCwLp1\n65gxY8aYw6oymUhU+trZYVYd4r/oOf+p+MoJU9f11ZqmzQX+qGnaG8BfgenAPKDzX3R9uxSKuP/e\ne+9JpZGbmytzPIXUU1WJMmguKyuT9q0i4nq9XqxWq7Rdg8Eg69atw2w2k5eXh8lkkgSr2rDZ2dkY\njUZ6enqEfJ2XlycnX3Vq9Pl80qINhUIC/rHb7VJJRqNR0ZNU841AIMDIyAhut1vEB7Zt2ybAoKKi\nIknIED8Zq/ej6DVWqxW73S7JUrUw1eEgOzubtrY2jj32WPj4p0IdCR/4Cn9/7R26urp45JFHmDVr\n1hj/0C+KN954g+OOO26np8Xp06czY8YMXnnlFc455xwgLlPW19cnz1HtqoaGBmprawkEAtLOHhkZ\nEYWjr3Mi3ZOReTuLvWFNGo1GEQyJRqMiZaeqrx21LZWKljKfvuKKKzjuuOOYPn06drt9r56Rbdq0\niYcffpgpU6aIWbNqWat2pq7r7LfffixbtowTTzyRBx98MA6uCWxHW/1TNHSueQbGHXvHmDnkiy++\nyKZNm7j99tu/shD6G2+8QVlZ2RhzBBXqIKOqdEUlUVaEinIH8T04Ly8v6bCg1qPS+P6yNqsyjNgT\n4ysnTE3TFgMLidsHrQduAN4AjtF1ffQc5T8SoVCI5cuX09jYKHwm9eWq9qXSfc3JyRGrLVXBZGRk\nJKHxlBC53W6XNpDSV1UgBlUdKs3Hjo4OoauMjIxQVlaGzWYTqbyysjLa29sZHh6mvr6e1NRU9t13\nX9GiDIVC+Hw+srOzMZvNjB8/XpKA3W4XWSzVhkx0Udm2bZtQTZTSkUqCSmhe/azmMRAf1CsyuErS\nGRkZ6HMegjW/QJ/zIMMjRp599lmys7M54IADGB4exuv1JrVglblzYii0shJ+X7duncwSYCtdAAAg\nAElEQVQ7VCh046RJk3j66aepqamhoqICn89HaWmpVPVpaWlYLBY0TSMQCOBwOHC5XKLSBAhCb2ex\ns8S4NxKs94Y1qes6fX19RCIRrFbrGAWnHT1fKXYtWLCApUuXfunv7C2xbt06jjrqKFJSUqirq9th\nu1bXdcLhMMuWLeO3v/0tV111FfBZssqoIDb7IX7/uxt4YVsmq5aenvT7uq7z8ssvM3XqVA477LCv\ndE1KQGLevHmsXr16zL8rjIRSEwOk0lb7h+qIAZIsdxSqWtyRDWPi39uTD6670pI9B5im67oXQNO0\nXOBR4A5N0y7Qdb3/i3753xEqiSgCcH9/v1R5SizAZDJRWFjIli1bxGFcccNUpagQtjNmzGDFihWU\nlpZKTz0UCgk6z2q1UltbS2NjIyaTie7ubk4//XQaGhoIhUIyd5s2bZpsFpmZmfj9fvr6+tB1nerq\naux2u2z4LpeLnp4e0ZFUQBelV5uWliatlH322UeSqUrmEJ/dqRtP/axABIqnOjAwICc9lfwGBwfx\nNK/h1gVgtKWjpZfAgX9BA/RhH//4xz9ESQXirdDEhKkcXRIjEAiIjOCkSZN49tlnBfSkaRqapuHx\neMjKyuKggw7i6aefZsuWLaSkpOD3+3E4HNI6s1qtlJaWEovFqKmpYdasWTidTrKzs6U78GWxs8S4\nlxKsz2EPX5OqdWk0GkXyUKn1hMNhqqqqJFEoBGlzczMXXXQRd999t1A3VOxsLpj42I5mk+rQNfqx\nr/q80RGJRJIq3Wg0OqbyjcVi8lqffvopRx99tJihJ95n2dnZAv5RHaIbb7yRK6+8Mr5OGh8nYnSg\nFxzNs6tS+NkjnTz00E34/f6ka127di2NjY2ce+651NXVyeNtbW1JnRqIt1P7+/tlrKHwC6olDPEZ\npvK+nT17Nn19fWRmZgqSVzESEh1fVOtVre3EUFreqjO0o7W2px9cdyVhTtB1XSa5uq57gB9omnYB\n8CGwAxXgf2+oTTU/P59AIMDAwIDMC5T4wOuvv87w8DCpqakcdthhklSVc4kC+0QiEVJSUnC5XIRC\nIWmRRiIRwuEw3d3dBINBampqyMrK4ogjjsDlcnHfffdx4IEHEg6HZaap5ngpKSlEo1GxCxo/fjwF\nBQWkp6dLq7i2tlauT5nEKi6b1+ulsLCQCRMmCGVFuT2UlJSIA4lqaShQjHpM3aDK1URRSmw2W5wP\nWv8xh8fu5dT/go+H3wM+d4ZauXIlAwMD/OAHP9jl7+Wtt94CEHBQLBbj/fffJz8/nwkTJsjzKioq\ncDgcfPrpp0SjUfr6+pJUV6xWK11dXRiNRiZMmIDVahVwldVqFWDXF51Od5YY9wYdyx3EHr8mFV84\nGo1SVlYmbUhN05g4caIoT8Hns8ef//znXHLJJfK8xNjRfHL0YzuaV6p1MvqxHUno7WjWubO55hdd\nl0oara2tHHnkkWRmZgomAeKVmWrHQpx+EwwGufrqq7nhhhvir7f9z2gfn4fFYKZuwotcfPHF7Lff\nfpx55pkipKLi2WefxWw2c8IJJyTdyw6Hg6KioqRra2xspLCwUJJTdXU1K1euTHpOamqqzCQvvvhi\neZ+qi2SxWHA4HEmC6xs2bGBwcFCekzi3TPQhVnvS6NjTD667MsMc2snjD302P/mPRzAY5P3338fp\ndGI2mwmFQlLJDQ4O0t3dTU5ODrfccgurV6/mlVdeYfv27UBcdX+fffaRSisSiZCTk8O6desEzFJW\nVsbg4KAING/evBmDwcAnn3wiihcfffQRmqZRWVmJ1+slPT1dELvRaFQIztXV1UydOhWfz4ff7xft\nzKamJtHXTElJoaKigkgkgtfrFUi+uhnVLFbdlEruTy0WtRgSQTHKLxQQf0+TyURf+wZOcz6A3eDj\nk0YIz7sw6bP9+OOPMRgMzJ8/f5e+kxUrVnD//fdz/PHHi9qJ1+tleHiYlpYWSaIQ32BKSkro7u7G\n7XYTDoelDQTId9rZ2cns2bMxmUxs2LCBgw8+OElYH3Z8Ot3T2z27GnvDmlTAlpKSEqZPn855553H\nnDlzmD17dlI3YjRwRz32bYjly5fj8/kIBoOSCFJSUqRKVYcKk8nESSedxJIlS+Lv/bNkqaETnHAt\nC8+/DrPZzNNPPz1G29btdvOXv/xF1sJXjZ6eHhFoGR1tbW1EIhEWLky2QV26NA7E3nfffQGSsAw5\nOTlJz1UVoxoBZWRkfCF6fU8/uH4tLVlN084gblAbBTTgJWDXtJb+BRGJRPD5fNK27O/vl+rMbrfT\n3t7OO++8w9y5cznzzDO58847qaur49577+Whhx7CbDYzc+ZM4YXV1dWJAklRURFpaWmCYlXt1NbW\nVn73u99x//33A3GtWIijQ1NSUujv76e2tpb09HRR6SkqKuLAAw9k8uTJvPbaa8JfLCwsJBwOi9pJ\nbm6uzB4LCgooKSkhJSVFQEMKVdvd3S0qOMrGLBAICNRbia2rU56yLcvJycFsNtO46V2q2y7EbPDQ\n0JfF0bf1s73t4CRAxscff8zEiROlhQvxxZaIeFVVt4p169Zx4403MmXKFC644AIheyslolgsxpo1\na3A6nWzatAmIVweJLaT09HShlVgsFplXKvRyd3c3bW1tTJw4URLhzhbjnt7u2Z3YU9dkZWUlK1eu\nFCwBfN5CTUyIOwKC7OyxHbU+E6u9nVFIRrdaFU1k9GOjk9HO2rSJ1zH6GuDzeexTTz3FuHHjxE1F\n2ZYpc2iLxSKdlDvuiIOd9YY/YaiJA3yi+yzmqkfdfPrppzz55JPk5OQwMjIiogYQ5zgHg0EOOOAA\nKQJUdHd37xCBrEwkFHhwdHR3dzNr1izpukG8KLnnnns4+OCDmT59Ov39/bS0tEj1XF1dTVpamhyA\n1FpUe8/eflj9uuLrh+i6LhNnTdPuB57+Zi5p9yInJ0c4ehaLhc7OTtra2qivr+fGG28UEjzEN+dJ\nkybxhz/8AYvFwr333ovBYGDq1KkiWh4IBKioqBA+pNlsFvSswWDA5XLx2GOPcfXVV1NQUEBnZycu\nlwtN08jNzcXr9eLxeESCzul0kpOTQ1paGv/4xz9kLhAOh3G73VRVVbF+/Xpyc3MpKSmhoqKCQCAg\nPoJGoxG32y3JTImujxs3ThwTlFZtooC54rApHVwFwujp6WGw+X2MI+20Defzi1eqKa0aID09XTYE\nXddZu3Yt3//+95NmljabLSlhKisziCPorrjiCnJycrjrrrvk8S1btiR9X36/n87OTpnLulwuNm7c\nKPNXZY2mtHg7Ojro6enhrbfeYtasWWLx1N7eTn5+ftLGNrqi3NPbPbsZe+SazMrKorCwMOmxr9JW\n3dljOwOUfN2W7Df12I4UhnRd57HHHmPVqlWYzWYRRknkmqq2cDAYZOXKlfFOla5j6F6Bhk5s2i28\n0TGb3//+GM4991xOPPFEeX2l8DUwMMCyZcs45phjmDp16hjxeJ/PR3FxcdJjW7duJS8vj0AgQHFx\nMcXFxUyZMkVQt42NjbS2tnLNNdckdYFuuOEGIpEIt99+uwDsFEixv7+f9vZ2RkZGRCEssWL8skPq\n3tAB+roJ06Jp2nFAK3GXd+s3d0lfP5RO7LZt2ygoKKC5uTmJ3/Xb3/6W7du3c+mllyaJNGuaxl13\n3UVtba3MEKdPny4zTUVbSElJkRtBtf+qq6vp7e3l3HPP5b//+7+BOFLs/7H35uFx1uX+/+uZyez7\nZCaZZLI2adqmbbpQFgUBWUWQVRZRoCCCqOABReD4dQER0fMDRAGFciEUQQ+yU4sctoOCtBRKKaVr\n2qZp9mUyk8xMJrM9vz/C52aydEM8p83xvi4uyDDJrJ/n3t6L0oJVguxK3ko5tW/fvp22tjY0TaOs\nrEzIy83NzbS3t9PQ0MDhhx8+xgOwqKiIjo4OSkpKsFqt2O12ent7icViRCIRGbEWjlzVzkAt24eG\nhtB1HavVyvatm/AHQuzMNhLLXM3qNnhrzSNC2FahtHUL9417ir/85S9EIhHuvffePbo/FJKcnU4n\nmUxGIO6Fya2zsxOHw0FNTQ3V1dW0trZit9tFjmv831EdpepU7Hb7lOssC2K/PJP/V6O1tZUf/vCH\nPPzww3zmM58RnmJh5HI5mpqaeO+993jppZeYPXs25NJgNJM/9EH0qnPQw6dy9bnzqKur49Zbb53k\nkUYxAvF4nEsuuWSX6kKThRIIGE9NUXrTim4HowyEO+64g+eff56rrrpKzOZhdKqmzng2m53As97b\nOBAmQB83YX4DOBOYC7QB3/zEntE/EOl0mj/96U+EQiGpVBKJBDNnzmT27Nls2LCBZ555ht///vf8\n6le/4oorrhhTydTX1/P2229TXFxMfX09BoNBgDepVGq0G0skpNtTF29d13n55Zd55ZVXqKysZNas\nWVRUVIjxrRKAV+LnCtTj9/tl3KOqcGWEq4jeXq9Xxo/KQWXu3LniSFJdXS26tUrzViHQ8vm8OLao\nvafH4yGdTtO2eQWHxL/P1p4vU1p6KmvWVDCiR+jq6qKysnLMOExVxEVFRWP2FV1dXWMOR29vr4zD\n1q1bJ2PiQsTeZFGofqJGsSrpK86e0Whk586dzJkzR3xG4/E4mUyG4uJigsEgfr+faDQ6gRi9p93m\nFIn98kz+X4uhoSF+8pOf8Otf/xoYPTPvvPPOpNzRTCbD3//+dx555BEOPfRQ2PY72HAbHPMSmINQ\ncRrvvP0269ev584779zlZEQVl1VVVbIS2ptQY9bxe0dFA5o+fVRuLxKJcM0117Bu3TrOO+88rrvu\nIzBgb28vW7ZskSK7rq5uTIe5L3EgTIA+VsL8EGzwe/WzpmnXAT//pJ7Ux41EIoHX66WtrU0Si1pm\nWywW6uvr6e/vp7a2lquuuoqhoSFuuOEG+X2Xy8XQ0JCMDXVdl+X8wMAAO3fuFH1Wm80m7golJSV8\n7nOf4y9/+Yvs5hTq1mQyMTIywsjICD09PXg8HhKJhMjkKUUhj8cjHMlwOExfXx8rVqzgiCOOEESZ\n0o+1WCz09fWJWlEgEJA9ZWGi6+npEeSdGleGQiHaNq/gMyM/wG7sZob+PI9uqCMajdLb24uu61RU\nVIwZh6VSKWB0vFb4ZfZ4PGMSprJDA2hvb6e+vl7E5HcXCkEJH+2AFXLQbDbL2Kqzs3OU+tLbS3l5\nOR6PRzxCC7l66r1QHWVhhzk+DoQx0N7E/nomFV2kMPZlXzmZxN1k9xt/n/Gxt9J4k1FIlJZtYYx/\nXfl8nkwmwxlnnMGrr76K2WymvLx8ghiA6sSUYMnFF1/M2Wefjd78gCj45NueJVN5IZqmsXTpUiwW\nCyeeeOKEPaTSpe7p6QFGk3VbW5tgF1S0t7dPoJUoOU31e1u2bBFeent7OwaDQXjfd911Fxs3buTH\nP/4xn/70pwXIBaMemzB6LXA4HBxyyCHYbLYxIK69PWP7O+AHPj7o57HCHxm1GNovDudpp53GM888\nQ2dnJw0NDXi9XnK5HPl8nnA4jKZpZDIZSktL+f73v89nP/tZ2WsODg7Kbk/5XaqE9vrrr8vjtLW1\njXncI488EqPRyOzZs3E6nTgcDgHWJBIJMbJ2u90MDQ1hsVgoKioSDddMJsOKFSswGo3Y7XaOOOII\n7Ha7EP5hlBNVX18vUmPq+Xq9Xvr6+gSBVsh1isViuFwuysrKMBhG3ekjbWup2nIRhnwnI445bAre\nji3Zid+fk5HmePK/erzdCauPj9bWVg455JC9um/hBU89RqHXoQrV/SqHGJvNRnt7O0NDQ5jNZsrK\nykTEu7Cj3N1BPBDGQHsT++uZnMy94h/ZYe5qrznZ/cbH3uwmJ9tF7s1t6XSaSy+9lFdeeUWwBtFo\nVM6UorwpndVgMEgoFOJXv/oVxpalHyXLeT+D+q9h/FC0/rHHHuOUU04hFApNSO6FBhEw2mF2dHRM\nWIG0trZOMGRXwCOr1Sq60blcjoqKCh566CEaGhpobGykrKyMF198kS9+8YtcccUVItOpYvXq1djt\ndjRNIxQKyRqrMKbKGYOPP5Id1HX9UvWDpmm/+YSezz8UVquVBx98UDwnjUYj/f39ImRQWlpKOByW\njs5utzN37lwANm/ezP33308gEKCmpoba2lpaW1tJp9O0tLQQDodJJpPYbDYRJdA0DYvFwrRp0xge\nHhb7r0QigcEw6s05MDBAc3MzLpeLiooKiouL2blzJ7W1tZSUlNDW1sa6detwOp0i/N7Q0EAkEqGn\npwe73U5xcTFFRUWUlJSMMdFVYKFQKCRdoHKqV0lIcVDj8Tj9HZspe/8MDJk2cp55bA79ir7eJBs3\nbhwDKx9vV6Q4XK2trXv9Waj3YW9iPNoQPqr0FchI7TWbmpqwWCysW7eOsrIy4YEp30AFHirUrFR/\nd7Iq90AYA+1l7Jdn8v9CdHZ28sUvfpE333wTk8k0prB0u93i3FFUVITZbGZoaIiWlhaeeOIJHH3L\noDBZzvqe/G5XVxd9fX0cc8wxu318NcGJRCL79LzVdSQajdLZ2cmGDRt46aWXREMWRkXZh4eHufDC\nCyf8fl9fH3/4wx846aST2Lp1KzU1NXR3d2O323G73XKup9AZ+9gJc7yl9/f/0SfySYTD4eCUU04R\n0n8mk5FqbmRkRPaHb7/9Ni0tLTz//POy67vyyiux2WwcfPDBFBcXi4G0yWSirq6O+vp6QqEQtbW1\nrFu3TpwzBgYGpIOprq7G5XKJRuvcuXMlqRmNRhYtWkRLS4uMjGfMmIHZbEbTNNnDKTpIPB7HZDLJ\nWFF1SgqebbVaxSNPOZAMDg5KslRSeirxOJ1OrJYacsFjyCffp2f27ylKauRyoxB0pa0Lo3vUQvi+\n3W4nHA6zfv16ScyAFCMqFDAJkMJA7VB3F0ajUfacSvFIjXyUKpDqtCsrK6mvrxd3Fl3XcTgcNDc3\nS8fgdDrJZrP09PTIe7erKvdAGAPtZeyXZ9Ln832iI9ldjWk/Dq1kV/cbP37dFZVF0zTeeustzjrr\nLKLRqJg+FxUVkc1mCYVCRCIRUTlSBXYulyMYDHLyySejpzvQ7FXk6i4j3/Ad+PA5pdNp2ttH1Q2V\nlOV4w2d1/lRBu3LlSlKp1ITxqzKfKIyhoSFsNpt0sYBId4ZCITRNY2BggA0bNuDxeJg1a5asltQ1\n5Ze//CWJRIJrrrmGY489lmAwKPva+vp6OVfjz5jCH8BHE6ADJT7uDnP7uJ/3rbT5J4XRaKSuro7B\nwUF0XcdsNjMyMoLVasXn85FMJunu7qa9vZ1gMMgbb7zB+vXrWblyJS+++KIsuZXNUH9/Pz6fj+Li\nYoxGIz6fD4vFQiQSIR6PU15eLh5x6gvo9Xrp6emhs7OTeDwu+49QKMTmzZvl0KTTaXbs2EEmkxGO\npnqO27ZtI51OU1payvTp08eMWgu7JKfTKV2copP4/X5Ru1GJwk6E4USUeC6A+aBfk8wlyMVz+HxF\nTJ8+nQ0bNhAKheSAKv5q4UVi5syZbN26dcwyv6ysbAzNxGQyyQ6zsrKSTZs2MW3atDFKIEp8QO0l\nFe9txowZwEddrOo0FWBKXQRUYbFt2zZB+EUiEXRdJxwOEwgEpKOOxWLS7U+lKney2F/P5K4k0j7J\n8at6nML7fFy6yK7Gr5Op+Lzxxhscf/zxsgpQAuomkwmLxUIsFiMajQKIktfw8DD5fJ7vX3YkZlMR\nmGvInbgazeyh8FFNJpNgKebNmydrnsIIhUJYrVaOOOIIYLTYVO5FhdHT0zOB2qNuUyLwtbW15HI5\n5s+fL/dxOBw8/vjjHHvssTK5URrd3d3d3HfffZx77rmiXe3xeDjooIOoqanZ7TlT12E48ArWfRFf\nv2aSm2PAO7qur/nkntKYx/wccCdgBO7XdX1yXPWHkUql2LZtm5D7E4kEuVyOlpYWampq8Pv9WCwW\n6urq6Orq4qc//al0KCeccAJWq1VoKMpuS9M0hoeHaW9vJxKJyD8qUakLPYyODZW/parSlFGs6m6V\nwHtLSwtut5tPfepTRCIRduzYQT6fF8pIKpVi5syZIpyez+fFdQQY03WqRKpMqQu/gE5DFF46Bns+\nTf6wZeR1J4YiF21t62hqaiKVSmE2m2ltbZXuUR3ywpgxYwYPPvjgXhu6zpo1iz/+8Y/s2LFD/PMK\noxA0MRkMXelTqqpaVaS6rrNlyxb5nBRQSjmzqBF0SUnJmCR5oB3MvYkD4UxO1dixYwfnnXce4XCY\nzs5OWdXA6HfXYDCIUYAyc4fRzvH8w9Jc1fgkvHUZHLIETJOD4tavX4/NZpOVz67C6/VSUVHBmjVr\nmDdv3l6/Bk3T8Pl8LFq0CGACWEgZyo8fCUejURYvXkwqleL73/8+b7zxBgCNjY1YrdYx49jJYn+2\n79pT7EuHuejDf5778OdTGHVI+LqmaX/Sdf0Xn+QT0zTNCNwNHM8oTH6VpmnP6rq+fle/k8/niUQi\nVFZWigZsOp2mo6ODTZs24XK50HVddpnl5eX09vaKELTf76e6uppUKiWKQeXl5bILVWCScDiMzWaT\nzhMQakh3dzc1NTXiZqKcPyoqKojFYpSUlNDf309/f794PFZXV8t41263YzabpXpUySmZTI5x7YCx\n1dmkHVSyDV46GuJbyXvmk9Wc7Ni2TdSHlCgDIM4jyqVl/BitoaGBZDJJc3OzIFqj0eiYMVEkEpGf\njzrqKIxGI88999wYnpdCz6lxmCJvr18/+rEqqLtKkEVFReRyOQEB2Ww2+vv7KSoqoqGhgbq6Onmf\n+/r68Hq9WK1Wdu7cKbZnUzj2+zMJiCykwTDRM/JAjJ6eHj73uc+RSCREwGR8qNcMo52aEjs5/7AR\nfnMRaOjornrYTWJRmqx7U6B++tOf5i9/+Qtf+cpXPv4LGxeK6lWYMJubmznvvPPYtm0bv/3tb2lo\naOCCCy5g9uzZhEIhATXtjlZiMOzZvmt/Ra/vS8KsABbquh4H0DTtR8CfgSOBd4BP9HAChwDNuq5v\n+/Dx/gicBuzycKpxp67rxONxGe+pamdwcFD2E+l0WhBfNTU1dHZ24nQ68Xq9WCwWWltbsdlsdHd3\nk0gkBDmqtGRra2uZNWsWq1atwm63Y7PZsNvtwgWEUbWMVColu4IFCxbg8/kYHBwUF/qWlhYCgQDV\n1dUi4VdbWytjVRWFElOTfZEKk2c2myXStpbge2ejJbaR88yjZ84jRCMj8nhms1lUgnw+H/39/ZhM\nJjHGHj8OU5Xr1q1bxUC2tLR0goG0QtCVlJRwzDHHsHLlSn74wx/KhfLwww8nFovx7rvvAnDEEUcQ\nDAZFM1Z57KluV41kVcfp8/nw+XzU1taK9ZlyWTCZTMTjcbq7u0UeTOnXTtHY78/kO++8I6NEq9XK\nFVdcwfe+9z0Z8an4JPeae7vD3Nu9ZqHs3eDgICeffDJtbW0UFRWJc4/L5RozzjWZTDIpUliIy483\nc9vZwxgMkG+6BWZdBx/K541/TYp2YjabyWazol9dGLFYTM7JwQcfzGOPPcaqVatobByrud/f3z8B\nyKcoKONfe0dHh/y8du1aampqCIfDZLNZXn31VRYvXozRaGT58uUceeSRvPHGG6xZs2aMJ61yn1EU\nu4+T+PZXZO2+JMwSYKTg5wxQquv6sKZpI7v4nX8kwoyqlqhoAw7d3S+YzWYqKiqEFqLrOp2dnfh8\nPurr6yktLSWfz7Nz504GBgbE+cJqtcqIs7y8nDVr1gjHcefOnRiNRkmSMNolbd++naGhIQYGBvD5\nfLJnU18Oh8NBVVUVuq6LObPaESaTSaqqqkSjUTmZK99NZYFUGIXC6Xv6IvX19WFd+x20xDbSzrmk\nDn0Gh9lHNNmOrutks1nmzJkjDio2m42aDw20i4uLaW6eKEE6a9YsNE3jb3/7GyeffPJefYDnnHMO\nL774IqtWrRojSRgIBGTfO34koy5M6kJQWODAqKTX4YcfTkVFheygzGYzXq9XaEHFxcUYDAYRYCg8\nsPtr5foxY78/k2qKAqOjyjvvvJP777+fq6++mquvvlr224UFWjabpa2tja1bt7J9+3ZaWlqoq6vj\nrLPOksRUGOP3mnvrQjLZbeq5jH8NSkP5zDPPZO3atTKCVd9LRRWLxWJomobZbBY7PV3XqfTDrWfG\nMBhg6XuzuOBL1+/2+apEqf6u0+mcAEYKhUJy2xe+8AWuv/56Ojo6OOuss8bcb2hoaAJVbLyxAYxS\ngJSgei6X49577+X888/HZrOxdOlSLr/8cmbMmMGzzz4r18K7774bj8dDUVGRTIMU+LCkpGSXiW9P\n53B/xRzsS8J8BFipadozjPK8TgEe1TTNwW4qzH92aJp2GXAZIGMAi8WCw+FgYGCAHTt20NXVhdfr\nxWazUVZWRl1dHR0dHSQSCTo7O3n//ffFr/K9995j7dq1In5eVVVFe3u7/L1p06bJMl/pxjY1NaHr\nOh988MEY/VmTyYTf7yeZTLJ582YikQgmk0mQdMowOhgMks/n8Xg8ezRUneyLNP4+gUCA/vm/Jtd6\nK+nGn+H0hmVMMmfOHKGpOJ1OgaKPjIzg8XiorKxk2bJlvPnmm3z605+Wx3C73ZxzzjksWbKEf/u3\nf9ujUTPAiSeeiNPpZNmyZRM0fI866qhJf0ftalQ1rQ6TGsl2d3dLoZPNZmltbaWyslKoPup9VZ3u\n+AJjf61cP2bs92dSdVcq8vk8xx13HDfddBO//vWvOffccwUE0tvbS29vL52dnWMEBDRNQ9d1vvnN\nb3LqqadywQUXiBHz/1TEYjHOPfdcXnvtNSlo1XfO6/WKjrTT6cRoNAp9BEaLvu64xuIlJuZNc/J+\nbgEX7MVjVlRU8Pjjj9PR0TFBvm58eDwejj32WJ577jnOOeecCbzLfY3NmzeTTCY55phj+OCDD/jG\nN77BUUcdxX/+53/K2Xrqqad44oknKCkpIRAIUFdXRzgclsJVXZNgYuLb0zncX9QijjgAACAASURB\nVDEH+2Lv9RNN054HlL/T13Vdf/vD//7yJ/7MoB2oLPi54sPbxj+v+4D7AAKBgJ7P5/nggw8wmUxs\n2rSJyy67jNdff523336bzs5OKioqaGhoEI1XBcPWNI10Ok15eTmNjY3iLWmxWKRSisfjbNiwgUAg\nIFJ3ZrNZRi/hcHiMio/NZsNms6FpGuFwmP7+fuEnxuNxfD6fjHMHBwexWq1jqrOioqIJX6zJvkjx\neJzOzk48piFKI0spWvD/UVo1B6p+j7rnZK4BmqbJ6DqbzTI8PMwRRxzBihUruOmmm3j++eflMbLZ\nLDfccAOPP/44P/vZz7jtttuE+qJCCT0UxuGHH84rr7zC1q1bpUMeTzMxGo1iMq26cAUE0nWdfD4v\nHacSWl+5ciVVVVVs2bKF3t5eHA4HxcXFE2yKxh/Y/bVy/ThxIJxJq9Wqq7GlinXr1uH1evnUpz7F\nww8/TCAQIBAI8P7770tHajabBTVuMBhk7P7yyy/z2GOPEQwGOf300znttNM4+uijKXyMyca2kykO\n7e1tb7zxBhdeeCFtbW3Y7XYBtui6jsVikQLU4XCQy+UoKSkhl8tRVFTEybN6Gcnl+fP7Vl5Y76Ql\nNwOHo3uPptiZTIbFixdz2223cdddd3H99ddPeF7jqSb//u//zoknnsitt97Kv//7v0vXqkypC2Nw\ncHDM+FU9pqJ1vfbaaxgMBj772c+yZMkS0uk0DzzwgDiR7Ny5k6997WssWrRIJndKnrNQmlRdrwo1\nrQ9k1Pq+0koyQB7QP/zvf2asAqZrmlbL6KE8Dzh/d7+QTqfZvn078XiclStXcvvtt/Nv//ZvtLe3\nc/jhhwugRFW9Sm1DHVJlF1VWViYSU2p02NDQwKZNm2TkUlJSIqgyJdWWy+Woq6uTEZHRaCQQCAiY\nR0nTaZomqv6AUEtSqRQ9PT1jxNPH66LuKrKDLfhbL0MbaYUiO/mmW8Z8aScb6drtdvr6+nA4HNjt\ndqHAHHbYYSxbtoxVq1aJWo/VaqWxsZGLLrqIhx56iB/84AcEg8ExOyCz2SyatSrOP/98XnjhBT74\n4AO+9KUvcfjhh08ABCSTSRYuXAiM7k2cTqf8XUURUKOvBQsWCPpYuaUoE96RkRFisdgY7uV4wfXJ\nOGEH+Ih2vz6TqtNQXSKMJqWRkRExFlcSjur9V7ZYiURijF2c+htms5lIJMIf/vAHlixZgtPp5KST\nTuL000/n7LPPnpR6sitqyO5uy2az3HLLLdx0000ihKK+a8lkEl3XGRoaIhaLyfl1OBwyzTn7oDg/\nOy1OToeVP7KyqV9n9erVoqyjYrLnazabmTFjBl/84he59957ufrqqycUysFgcEyBGggE+Na3vsVt\nt93Gtm3bZHWivH0Lw263U1lZOea2SCQyKgDPKMdy7ty5BINBWlpaKC0tpaKiQgqKxYsXy561rq5O\n0Ly7QqRPFSOEvb5CaJr2bUZHQAFGdye/1zTtyn/WE9N1PQt8C3gB2AA8puv6B3v6vWAwKInogQce\nYOnSpfz617+mo6MDXdex2+1UV1fLh+/3+znooIOYP38+DQ0NOJ1Otm3bhtFoFGqCSnxKAUhdpGG0\nOiys/BT61mg0MjQ0JALspaWlBAIBoX04nU6Ru6utraWsrIySkhJqamrkizc4OCjdYKF6z/hwGqLM\nar8C80grum8hNF4nX9DxhGWlwqHk8/L5PFVVVcJhdLlcHHnkkWiaNqbDVHHNNdcwMjLC/fffv1ef\nY2NjI01NTdxzzz17pfwTj8eFelMYKmGaTCbq6+upqakRv73Kykqqqqrw+Xxygd3V6x8fe3u//TEO\nlDMJoyP2woJkMtpB4R7TZDLJiL0wjEYjDodDBAAsFgvZbJa//e1vfPnLX2bOnDk8+OCDAhL7uJHL\n5fjyl7/Mj3/8Y0wmk+irwmiBq5J+Op1G13WZOGnaqCH052f28LPTezEY4OZnreyM2nA4HBgMBrZv\n3y7F+57iuuuuY2hoiKuuumqvXtO5555LU1MTN998s0xr9jV6e3vZsGGDmMU3NzePcSd56KGHeO21\n10in04TDYfL5PA6HQ7AgKlRXmc/n5boDHLDnDfatw/wqcKiu6wkATdN+DrwJ/Pqf8cQAdF1fDizf\n2/tbLBb8fj8nnngiDoeDSCTC4sWLASgvL6e2tlbGmhUVFUJ+z+VyOBwOpk+fTjwep6enR/YTyg19\n+/btpNNpvF4vpaWl4nGZyWRob28XoE8gECCXy2G327Hb7Xi9XnRdp6amhtbWVgYHB3G5XDQ1NREI\nBOSCoEYrXq8Xr9dLPp8XCslu5/3JNgyvHAPJ7eBbiHbsS2D2YS8aTa7jO9PC6k89RmlpqSSaVCrF\n5s2bqaur4/3335fEpcZG06dP5/jjj2fJkiVceOGFYziUiURiwgUuFotx+eWX881vfpMnn3ySWCw2\n4bDk83kZySq0bqHfZz6fl+fX398vn6GyULPZbDQ2NpJMJid0i3vqzA/U0dCHsd+fSTVpKTSNVsId\n4xGp+XxePnsl8D1eDN1mswkKXYFrnE4nsVgMi8WCzWbjq1/9KjfddBPXXnstl1xyyT7ZTSUSCd58\n801+97vf8ac//UmmJmrqA6PXGY/Hg67rQv1QxP9YLMbZC+N8/7idGDS46Vk7v3rJjMlUJB1qMpnk\n6quv5uGHH97j85k3bx633nor119/Pel0mt///vcT0LKFYTQaufXWWznnnHO4/PLLWbJkyV6/dhX/\n9V//BcCxxx4LjKL9CzEHDz/8MDNnziQWi9HQ0ICmabz77rtMnz6dnp4eQqEQBoNhwnVrT0YIB0Ls\nS8LUGHVzV6Gc3febsFqtgoJVVI25c+fKrrGlpYXh4WHS6bR4U46MjAi1IpFIEIvFyOfzZLNZ8vk8\nLpeLTCZDZ2cnkUiEgw8+mGAwKIewqqqKoqIiPB6POJcoqS6z2Uw+nyeRSJBOpwkEAng8HkKhkHRM\nhXP98ePB3XIsVcS3wXAH+BbCh8kSdr80V48Do3B4JQWoRtqaNuotuW7dujEVv/rvb33rW5x22mm8\n/vrrnHnmmfJ3FeK2MKqrq2loaOC2227j5Zdf5tvf/vaEsW1zc7PQP5RMoAo1klXVtbIny+Vy1NbW\nYjab5QJsMBhIJBIkk8m9Hvfsr+CCvYz9/kwWdolqcmCxWETEQyVHr9crxuYqUSredGGoyYhCUyv6\nhiqoWltbKS8vp7y8nG9961t861vfYvr06QIE8/l8eL1eWUO4XC7sdjutra389a9/5e233xYBcVUE\nu1wuTCaTjIo9Hg81NTW0tbVhsVgwmUxSJOdyORZWRzFocNfrFTy6xoHDEZdRr9PppKOjg0ceeYRz\nzz2Xk08+eVLpvcJi4uqrr8ZgMPC9732Ps846i0cffVQK6fHJc3BwEL/fz89//nO+973vce655/L1\nr3+dOXPmjLlfNBqd8LvK93bZsmXynqVSKdra2qiurpbCVgGfqqurxWUpn8/T2trK0NAQbrdbLAbV\nZ6biAD9v+5Qwf8coIu8pRg/l6cAD/5Rn9TFDAXeGhoYkeTmdToGFJ5NJzGYz8Xgct9tNOBxmaGiI\n7u5uenp66O3tFZEBGE0spaWlInelOj+TyYTb7aa2tpZwOExJSQkOh4Ph4WG8Xi9ut1s0VNUYxmq1\nCqgolUoxODjI4OAgiUSC0tJSMX/ea73TXAqMVig5Eo55CTyzJFnuKRRXMRgMyutTlV9dXR1lZWWU\nl5fzzjvvsHr1atkvqjjppJOora3lrrvu4owzztitqof6XM455xxuvfVW/v73v08wqC6MWCwmXC71\n2uEjmsncuXNlDOdwOKioqJCxdWEXMMXQsLuK/f5MKrCOxWIRLVI1yjQYDLI3V52XsrzTNE14hopK\nkkql6O/vx2w2i8oTjH43FA9XFXvvvvuuFKzbtm3DYDAwf/58tm7dKipgheo5JpOJgw8+WEbB6nuX\nTqdFXtFmszEyMsLg4CCbN2/GZDJRXV1NIBAYdf4wjRagz3U18XbXWpav0cnlBkVLWilx6brOnDlz\nuPjii1mxYsWYcWfh8ykcYX/729/G6/Vy+eWXc9ZZZ/Hkk0/KhKUwamtrsVgsVFdXM3PmTL7yla9w\n2223cfvtt8uIFRAXo8LYsWMHzz33HM3Nzfy///f/qK2tpa2tDV3XBZvx+OOPA6PXxlAoJAVseXk5\nRx11FGVlZZMKq0yV2Osdpq7rtwMXA/1AH3CRrut3/LOe2McJo9FIdXW1KGuopXxfXx/vvPMOqVRK\nlvWAJCvFecpkMmiaRnl5OU6nU8TblRbt7Nmz8Xg8FBcXc9hhhzFjxgwaGxupr6+nrKyMadOmyZdc\n6S3GYjEBxyi0p1LwUV2qmvUr9N0exxXJNljeBM0fjluCn95lsizcI0wW8Xic9evX09HRIX6bRqOR\n6dOnU1ZWxpe+9KVJUa3XXnstq1at4uWXX96rz+aSSy7hsMMO45577mHlypWT3mdoaIjOzk7q6urE\nskuNqqPRKEajkXnz5lFWVsbw8PAEUWmn00lZWZlUt3v1Xh7AcSCcSUAoW4lEQkasahqUTqcl0ZnN\nZklMRqNRulNV2CmE98DAgExxjEajCG4UFxfL9EKNghWNy+1288EHH9DR0SEgpOLiYkGyFxUVsWbN\nGhwOxxgQjnIfUXQlxd1UetMGg4HS0lJOmtHN7cf+F3a9l0w2x2tbRgs4tVIoFGDXNI3m5maxI1SF\n3Z5i8eLFLF26lDfffJNjjz1WEK27isbGRpYtW0ZZWRnf+MY3eOCBByZ07DDKbf7xj3/M2Wefzd13\n381xxx3H2WefDSB6ttOnTyefz/O73/2OT33qUyJKoHiXDQ0NhMNh8e6dqrHHDlPTtCFGEXhyU8H/\n03Vd373G0f9g6LpOKpUSQW+Xy8XIyAjJZFIOmMFgYGBgQES6ldWXqnodDgelpaV4PB7y+TzBYJCa\nmhocDgfpdJp169ZJlevz+TAYDHR3d5PNZjGbzdhsNgwGgxzsZDJJcXExfr+f7u5uuVCork7xpfa6\nGyqQu6P5Pph2MRh2/TGqblJ1seox1Ah4aGhIlvVerxez2SwVbzQa5fnnn+fee+/l29/+9piDcNFF\nF/HTn/6UW265haOOOkq6+/G0kkKw0t13382ZZ57Jz3/+c6655hpB5A0ODtLV1cX7778PjIq6RyIR\n3G63/G4kEsHn87FhwwaCwaCoFKVSKTo6OqipqREhhMnQsVMpDqQzqaYxFotF9JR9Pp8kEzX9Uf6M\n6me1m47H46Jyo6yyFHBOfTfUDlPtPd1ut2ATVLhcrglFo9PpnLBHVdQQFUo5LJfLMTw8LN9JtXIJ\nBAI0Wt/isnlrMGhwdEOSzXox27dvF8Ubm802ZjIFyPVm06ZNXHDBBTz11FNjztf456pUic455xx8\nPh/nnnsuxx13HE899ZSYRgBjihIYXWH84he/4K677uKOO+7gjjvuEFqcooi0tLRgtVo57rjj+NrX\nvibrkUQiwerVqzEYDDQ1NfHiiy+yefNmiopG97F9fX3EYjFCoRDl5eUTkLjqdRzgKPQxsceEqeu6\na0/32V9CJQGz2SxGy5lMBqvVitlsFgdxu91OJpPBYrFQVVWFyWSiv7+fjo4O+vr6pDsZGBjA4/Hg\ndrspLi6mo6MDj8dDb28vqVRKuIttbW1omkZFRYWgxdLpNA0NDdhsNqxWK319fSKzV1NTw8jICEaj\nkWQyKcl7rzpLlSx9C+GY/5o0WWazWfr6+ib9Aqv3SVlgKaeUkpISUqkU3d3dhEIhBgcHmTdvHm1t\nbSxfvpxrrrlmzOjVarVy/fXXc+WVV/LSSy9x2mmnYTKZJiTMcDg85raHHnqIyy67jDvvvJMf/ehH\nnHHGGQQCAYLBICtWrMBgMHDyySeLgojaVUWjUfx+v1x81Ni2tbWVtra2MSMs1VGr93QqHNTCOJDO\npBq1qousw+GQZGaxWLBarbhcLjFcVwWcmr6oXWOhEbvRaMTtdos7iHocpTmsAGr5fF4MEQqBY6oz\njUQiY2gr6u8ofIEaGSuHDrUvVYW1xWLhM+GtXHnIWgwaPLy2kS0ch8vlZNGiRaxevZpwOMz27dsF\n8a5e29DQENlsFk3TWLZsGT/84Q/56U8/cmgbTzVR3TeMrkReffVVTjnlFE444QSefvppEQYpLS2d\nMKZtamri4YcfZtWqVTzzzDOyElIqZBdeeCHnnXceRqNxjDk0wJo1a5g5cyYul4vf/va3BINBBgcH\nKSoqEqSwWkkpDmZhTLXVyMf1w9wvQ+0a/X7/mPGmGs9Eo1HRiu3v7wdGZeR0Xae2tlYAB4rfp8jI\n7e3tdHV1UVFRwcEHH0w0GiUSiVBeXk4ymcTv98uXx263y66lqKhojPZrIU9J7XSUTuQev0zp6Nhk\nWQDwGR99fX1CSi4pKdllMk6lUrLHUWor0WgUl8vFjBkzMBqNWCwWXnvtNZqbm8dUsgAXXngh9913\nHxdeeCHhcFiq5nQ6zec//3nuu+++CY/p9Xp54IEHuPrqq7nhhht47LHHOO+88/jsZz/Lf//3fzN3\n7lzsdjudnZ1j1Ep6enoIBAJUVlYyNDTEzJkzhTsLSNevOmkllA9T46AeqKFpGg6HQ7oxVcCqdYcC\n/6jbVKJTyUHTNAGTKTP1aDSK1WolEokIRkD50ypkeS6XEzK90WgcM4pUo36l1ao6UlVsq4Spxq+q\n27Xb7XJms9ksn6nu5tuHbcWgwRNbF/H32CKKikZ3ntFolMrKSmw2m2ApksmkmDioVYMCQf3sZz/D\n7/fzne98Z6/e14MOOohXX32VU089lRNPPJGlS5dy2mmn7fZzOOSQQ4RXPTAwMCE5jl+9ZLNZVq5c\nyQknnMC7777Lc889h9VqlfeivLycpqYmDjroIMxm84S/Bwc8Cn1CTKmEmcvlJPnU1dVhMplIJpMi\n/xYIBMSRo7W1lZKSEtGcTafTVFVVMTIyIu4Z0WiUsrIyuru7GR4eRtM02ZGqfWQgECAUCgkaViWn\nQvsaBUrxer3AR0okKpnm8/k922aZPFD1Reh8cbfJUr1O9e/xNJLxMntKpaO3t5ctW7bQ2dmJ3+/H\nbDYTDoc544wzWLNmDffccw+33377mMcxGo089dRT3HTTTWMuVslkkkcffZRMJsNtt902BjmrOoW7\n7rqLZ599liVLlnDdddfR2NjItm3buOqqq4jFYmzdupWjjz5aRlMdHR00NDRQVFQklmRut5tsNktN\nTY1oy6r3HDig4etTJcxms/CM29vbZcKjVhYGg4FoNCqJSBlO2+12AdPoui67SdWpqjFtIBCgtLSU\n1atXCzHeZDKJuIDFYpFpyngRBDVudbvdGI1G0um0TITS6bSMke12u3hc5vN5ysrKCAQCrGp+m5aI\nhRXdDWwuOhnoxmg0Mjg4iM/nI5PJMDQ0JLtGZfWl/GCVoEhRURFf+MIXuPbaa3njjTe4+eabxeBg\nd1FXV8drr73GmWeeybnnnsujjz7Kcccd94l9ds8//zw9PT2ccsopfOlLX6K8vFxYA36/n89//vOc\ncMIJwIeGD5GIFOgqphrwZ0olTE3TqKmpET6g2l96PB5mzpwpO4VsNktTUxPhcFgEg9etW0cqlaK8\nvJy+vj4ymYzAo30+H6WlpVgsFhKJhCQkRSkBpOItpIQoWa/xX5hCuShl27XLL1ayDTKD4GmEeT+D\nOT+Eot0nAaUoNOFPTaK24Xa7icfjWCwWvF4vHR0d7Ny5k6qqKrk4KC/Mm2++ecxzVA7tDzwwCsws\nTPpNTU3ccMMNWK1W7r33XrldFTIwKoJwxRVXiCC31Wrl4osvxmaz0dbWxvTp0+X3Ojs7OfTQQ6Ug\nUp2AOrxqhKecVhTv61/xvxtqh6eQm9FolKKiIrZu3SrqV4UjW6vVSjAYBBDnH9UpAuL+4XK58Hq9\nBINBMpkMxcXFZLNZSYDwkaKXAu4oNK6maQSDQRnhqk7TarXicDiIxWK4XC4ZUWazWZkqeb1ePn+Q\nlfc6jejWEJc/6cXlC+F0bhM8hNfrZWhoSLjXLpdLkqQarSrEvgKovfLKK9hsNl5++WWeeeYZzj//\nfH70ox8JnmAyyb5cLkdxcTHLly/nC1/4AhdccAEPPPAAn/vc58bcT71nhZFMJidQwNR+WMV9990n\nTk6bN2+WPWVnZydms5nBwUF5r9R0YF8oXQdiTKmEqXaSg4ODVFdXs3HjRnbs2EE6nWbatGlyKGOx\nGIlEgv7+fqqqqigrKxN+1kEHHYTb7aa3t5d4PM7IyIj8PzVGNRgMlJeX4/V6xyjFqK5TJctoNEo8\nHp9QdamYzONy7B0+3Flmh+DY18Azc4/JUsVky3a73S6o2Ww2Szwel12g1+ulpKSEbDbLjh07CAaD\n9PT0YLPZOP300/npT3/KH//4Ry699NK9evxrr72WZDLJT37yE2KxGPfff/+kHng2m42LLrqIiy66\nSJxf3nnnHQAZAff39xOLxbDZbNKVtLS0CEJ22rRp0q0X8r/+Ff/7kU6naWtrI51O43K5ZF9ZXV0t\nMpNKeq2np0dGqUoQRI10TSYTAwMDDA8PS+JTtym5vEIZSIXMtVqt9Pf3k0qlMBqNsuPs6ekRazi1\n43Q4HAIycjgchEIhoasMDQ1hsVi45GgD35z5BquD0/hl6lDsDqesBRRfeMuWLSSTSWKxGF1dXSKC\noop1XddxOp0MDw+TyWTo7+8fYzBtMBh48skn+c///E8uvvhiLrnkEhYtWjThGqIM7r1eL8uWLeP4\n44/n0ksv5amnnhLRAUBQvoWhdsOF4fF45La1a9eyYsUK/uM//oM333yTqqoqcrkckUiEQCAgiGQl\nflJSUjLBknAqxpRKmAaDQRIajHYzmzdvxmaz4fP56Orqwu/3U19fz8DAANFoVCpepQ+rEK6hUIie\nnh4sFguZTEYQpDC6E1Pw6fE+lWq8qniBSktzsqqrcL4/IaGOB/jY9s19oHDZrsak6jmqi4TBYKCn\np0foNaoSLS0tFeBEMBhk4cKFTJ8+fZ8SJsAPf/hDXC4XN9xwA0ceeSTLly/f5YEq7Agff/xx7HY7\nJ510EgAvvvgiAJ/5zGdwOp1CuN65cycmk4nh4WHi8Ti9vb2UlpZOOZDPgRwKmd7e3i6YAq/Xi8Fg\nECefiooKqqurRdggEAgQjUZJpVICpFOj1qGhIXw+H7lcju3bt4u8pcPhkLGrItIrayyFtlXJT/0z\nMjKCy+USBKwC4WiahsvlEiR7ZWUls2fPZpZlJVcd+h6aBlFqaZo3n1wuR1tbG6FQiEwmIyh6haHo\n6enBZDKNMQ9Q/rgGg0ESceHuVoGLMpkMDz30EEuWLKGiooLTTz+ds846iyOOOGKCEbfH42H58uUc\ne+yxnHbaadxzzz1ceOGFH/tz+8UvfoHT6eSSSy7hN7/5DW1tbTQ0NFBdXS2qabNmzSIYDBKLxcZI\n303lmFIJM5VKEY1GcbvdOBwOWltbZW9YKMukOFvd3d3AaHIZGRlh5cqVvPPOOzQ2NnLQQQfJeEKp\ngRQVFbF582Zmzpw5qTIPIH/T7XaLy8muksRux7B7CfDZVRQmY9XtqguG2WwWAYVsNisar6rKra2t\nJRgMCiWlubmZ8vJyXn31VTo6OoTwPH5ENBnXU6mMnHPOOZxyyin84Q9/kJGbCrX/hNEd5zPPPMPZ\nZ58tSi8vvPACfr+fo446ilwuJ7xZRf0xGo309vZKsVKonvSv+N8Np9NJcXExO3fuFAxAKBSitbVV\naFtqChMOhwXBqsAxis6l1hvKHaSqqkpE+k0mkyDXU6mU6DerpFRfX08ikWBoaEjGs0ajUSQws9ms\nmKEXfpdSqZRMok6fF+P8ae9h0GBZ2+GsSR9FcbFzjLNKT08PdXV1TJ8+XQpmt9sto1/VWWqaRiQS\nEaqbwkAorrGu6/h8PlkXxeNxFi5cyP33389dd91FeXk5jzzyCEccccSY9zoQCPDiiy/y5S9/ma99\n7Wu8//773Hjjjfv8ma1Zs4Ynn3yS66+/HovFwvbt27FarcybN08odupaMl66cKrHlEqYMNrplZSU\n8Pbbb4vsm91uJxKJYLVaKS4uFt5WWVmZjGiGh4dZt24diUQCr9dLdXU1JpNJeJlut5stW7awY8cO\n4VWOh0wr4E+hSs3Hmue/e+0/lCzHP7Y6vOl0mkgkIubV6vbS0lJBKiYSCeGXGgwGBgcH2blzJ+Fw\nGF3Xefzxx7nqqquAidD3ydwfrFYrJ5xwAk8++SSnnHIKl156Kc8///yY/YmqqAF+97vfkUwmufTS\nS6UoeeGFFzjkkEMoLS0lHo+TTCaFc+n3++XCpAQh9jQK/1f8z4XVauXoo4+mubkZj8dDeXm5yByq\n76HiJ1ZVVbF9+3aSySRGo5F4PC5c5lgsJprMHo8Hi8XC4Ycfjt/vF5N3GKUxRSIRKioq6OvrEyCK\n2WwWL9Wenp4xXanX66WyslK4oIXTlZGREapLrZxdvRyDBk+3HMbLnQuYMcMrfOZMJkMsFiMWi1Fa\nWkpjYyOxWIzW1lbKysrI5XKsX7+e9vZ2kdtUez81EVMANrXfVxxJNXreuHGjmEi73W5OOOEE7r77\nbi6++OIx77fL5eLpp5/m2muv5Ve/+hVPP/00N910E6eeeuqYszkZZ3pkZASz2cyNN96I1+vliiuu\nYP369QLCUp32yMgI4XCYRYsWyaTNarX+nyhUp9Qrs1gsVFZWsnr1ajZt2sRbb70lIJf+/n5R/enq\n6iIajeJwODj44IM55JBDqK6uZv78+SxYsIBp06YxPDw8RpBcjWfC4bB0SOPVZAwGg8Dc/6E4+DdQ\nd+nHTpbjw2AwUFJSgq7rDA4O0traKv6eqiOGj3zzWltbWbt2LevWrWNkZITKykoWLlzIggUL+P3v\nf/+xnsMxxxzDo48+yttvv80VV1wxqeLI4OAgt9xyCwsXLhTz6tWrV9PdHUFxJQAAIABJREFU3c2C\nBQvEu7O9vZ1t27YJYMRoNJLJZAgEAtJ1qFH43sSe1JD+FR8/stksbrdbupOenh42btzI4OCgCE+o\nbjKfz1NcXIymacITrK2tpaqqCovFMiZxKrcPu90uwut+vx+/309xcTGVlZXMmjULh8PBjh07RA5P\nmVSrxysqKsLtdstoX02VFMI1HA5T1XAwd79/DE9uP4x3R06gtrZWZPFSqRTpdJqBgQEymQzd3d1s\n2LCBnTt3ihhILBbDaDRKB+31epkzZw6zZ88WlHomk5Epi1LPUftbn88n4+ZsNktLSwtHH300l112\nGRdffDHd3d3SmSvg0j333MOrr76K2+1m8eLFLF68mMHBQTGF8Pv9sgaxWq2sXbuWO++8k8MPP5wX\nXniB73znO4RCId59911gtBhWcoJer5fZs2fj9/uFRrZx40YikYispabqeZpSHaYaa5hMJgKBgJgJ\nl5SUsGPHDuFZKrJ+KBTC6/USj8dxOBzMnj2bqqoqkskkQ0NDuFwuDIZR89qdO3eSSCQIh8My5h1P\n2QCkW9vnSLbB+zfCQb8CsxcO3XeXgfHvhdpbKlpLdXW1cKiUfZhSBlHjKZfLJUjB/v5+mpqacLvd\n7Nixg1mzZvHoo4/ywQcf0NjYOIEKM1kSVNJgAKeeeio/+MEPuOmmm5g5cybf/e53AeRiccstt9Dd\n3S0uDrqus2zZMjRN44ILLhCtUavVSkNDA9FoFLPZTGtrKwaDgb6+PkpKSvY4Cp/w1k8xcvX+FCMj\nI2zcuJEZM2ZgMpnYvn07ZrOZmpoa5s2bR2dnJ0NDQySTSbZv304mkxFxCqW7OmPGDOHcFhcXEwqF\ncDqdeDwe1qxZw7vvvisiCKojbW1tFV3otrY2sdpTRZQi2qu9vdVqxWKxyLg/Fotx0oxugsE85tpj\naW7O8UJrJ9XVFinU1q9fLysNNXpWfqxDQ0P09/fj8/nYvn27+LeWlZXJDtNisdDQ0EAqlaK3t5eW\nlhYGBgZk7+twOESUXiU7GOVL/u1vf8Nut/PYY4/x9NNP86Mf/Yirr756zHv/mc98hlWrVnHHHXdw\n4403Ul1dzQknnEAwGCSdTss1YsWKFQKm+9SnPsUtt9zCVVddha7r/OY3vxFnEiU1qkbqbrcbt9st\nxhTq2jKVz9OUSpipVEok1Gpra4WMbzAYqKqqAmD+/PmiCel0OuWDDYfDAmNXtluKx6gg4Mq+SyWJ\nwh2m6tg+lpZi4c6yyAEH/fIffi/Ul1ZVeiq5KesdQNCE/f39crEIBAIkk0lCoZDwHefPn09nZ6dI\nai1dupSf//znGAyGMWOe8T+rKLzthhtuYMuWLfzkJz9h+fLlLFq0CLvdjsVi4be//S2XXHKJ+HEC\nLF++nMMOO0z2yBUVFZSUlAh1RnUJCuKuuv59OahTjVy9v8WGDRtIJpNUV1eTzWaZNm0ap5xyCq2t\nraRSKemkdF0XxGo4HCYej4vWa2lpKQsXLiSbzTIwMICmabS2tvLBBx+QTqfx+XzY7XbhUhqNRlHV\nMpvNMolIp9OkUimCwaB8/6urq0mn0wwODgqK9eRZvVx75GZgI89rJzN79mx8Ph9lZWUyBtZ1Xc5/\nPp+nvLxczr+yIAsGgxx55JG8/vrraJpGaWmpdMeqK3a73fT19QnYSOnO2u12otEouVxOaF65XI7W\n1lYp8mOxGJ/+9Ke59tpreeutt1iyZMkYg/aioiKuvPJKPv/5z/Ob3/yGP//5z7LDVeAnpRh05JFH\njqGjvfjii6xZs4aioiIOO+wwGQmr9yoejwu1J5FIyHs6lc/TlEqY6oKvlF6UikYsFpMEqRwH1PhD\ndZBFRUVEIhE6Ojro6enB6/VKx6IuvoWdixJgVjqt46249hSSbImM+lmqneXcH30i74V6HsqdXo1J\n4KOqT1Xp6XQas9ksr0/tNZV8oBKRHxkZ4Qtf+AK//OUvRZVkPFx9T6FpGr/97W+ZO3cuS5Ys4Ykn\nnhAo/7Rp07j55pvlvk899RRvv/02Z555prxfTqdTOma1Z1XovEL3iX2JqUau3p+iqKgIn8+H3+9n\nZGREDJZVEadoEYFAAJPJxObNm6XLUjrOMEotUkjWdDqN1Wpl586dDA8PM23aNGbMmEFnZyfJZBK3\n201HRwd+v18KxL6+PtLpNPX19bS3tzM4OIjNZqOiokK4yB6Ph8HBQQ4JrOfbh20WubuBchtHHdVA\nXV0d3d3dVFdXU1paKs9TKWbV19fT1tYmkpM2mw2/308sFhOkfS6X469//SudnZ2Ew2GxB1MCC8qc\n2mKxSOJTQgi5XI6hoSFBDCtpv9dee02cRFpaWnjyyScJh8PyGVitVubMmcPdd9/N3XffDTBhOqRu\nK0Tf3n777WJ0YDCMegjX1dWJXKC6xjidTun6YWqfpymVMG02myyle3t7hZ9VWlqKpmlUVVVhtVpZ\ntWoVfr8fTdOYOXOmqI44HA48Hg8mk0loF/F4XKqm3Y0a9vVLkkwmifdsxL72XEhu+4cAPpOFej6F\nuqrj3TvUbnO8+o9KrgrhFw6HaWpqYnh4mMrKSoxGIzfccAN//vOfefDBBye1J9pd2Gw2vvvd78pI\nViHtlIShruv09/dzwQUXcOihh3LdddeNEXsYLyYPYz+PPaom/Sv+R6OpqYm5c+cyPDzM8PAwoVCI\n/v5+2VO6XC5CoZCgr9evXw9AKBSioaGB5uZm2XeqXbUych8YGKC6ulpAaT6fj/7+fgHMNDc3CyWs\npqYGi8UiiQdGdYfb29uprKwkGAwy372Gy+ePasM+ur6JR9aUMU9vp7+/X/bnNptN9p4Kdav2ji6X\ni4GBASoqKkQlTHWEagXk9/uJRCIy4VJ4CYW2bW9vR9d1ysrKhKva09ODy+XC5/Phdrvp7u4W2UCF\n7k0kEqxfv5758+dz//3371Yqb0/x7rvv8sorr6BpGnV1dWK7Nnv2bNra2vB4PFIsKxrPXkl8HuAx\npRKm4kTZ7XYBGBQqiCjR40wmI2LIqsLctm0biUSC+vp60YBVX4RCPmPhvxVKbnxXuTcK/Xa7HYMp\njpbu/cST5fjHkceb5LmMT/Sqa1PjH+U92dTURCaT4a9//SvJZJKZM2eydu1a5s+fz+233y5ovcmq\n1sLbJgMCKCRg4f9/9tlnSSaTfPOb36SqqkrUkHYVhajeqVzhHmih67ogtHfs2CFj0dWrV9PR0YHV\naqWqqopwOEwgEODggw+mo6MDXdfF+EDtNRUISAkZKD9bZeCez+dpbm4mEAgQiURIp9PiW2kwGKis\nrJS1gc1mw+v14vP5MBqNHxXV7hgGDV4fOplW5xEEAuuk66qpqSGVSuHxeOjq6pJuUyU7g+EjA3N1\n7pTgvBJd8Pv9HHbYYSKJpygzdrudmTNn0trayubNm6VYV9cho9EoIB2bzSZdqRpHK31bk8lEVVUV\nZ5xxBl/96le59dZbBXOxL3H77bdLger3+wV8lUgkGBwcJBgM7tLgfqo5lBTGlEqYavavFvt+v5++\nvj5CoZAkTEWaBli3bh0wVnO08GKrNCgVeGZvL8R7XHpnExiKHNgrjwbHq+Cc9k9JlvDxxiNKeL5Q\nvaOrq4uBgQHS6TSlpaU0NTWxbds2ent7ueyyy7jjjju47rrrOP/888eMaSdzXRi/5yw07FXxzDPP\nUFlZydy5cwkEAjKGVa9pstH3VN6dHKhhs9moq6sjGAzKvlLpwoZCIerq6pg7dy7l5eVC5K+rq5OL\ntMPhYMGCBWLn1tjYSDAYZGBggGnTplFRUSHm7haLhb6+PqLRqCgJKVcTtVZQhgImk4mSkhJRk6qt\nLKEnkuDPHZ/FWPkFTPWf46RAQDALShazsrISj8eDrut4vV4xtlb7UPhoYhKLxcjn89TV1Unh0NHR\nwbRp0wiFQqJr7XQ66evrE0BNTU2NrJTy+bx0qwrJqygoCvWuhA/cbjcej0emZQ8++CBPPfUUN954\nI1/72tfGjFvVOLwwVHHb1tbGY489JkWFx+MRk4j+/n4ymcwYNsD4a8y/QD8HSFitVsrKyohGo2zc\nuFGk7KLRKD6fT8YGtbW14nSgfBPr6+uBiR/w7sYNu/pi7PbCrQA+078Os74L/oM+wXfgkwn1mlWy\nVKTxtrY2rFYr06dPFz6d3+8XdPLixYu58cYbue6667joootEkWdfY2BggL/85S/MnTuXrq4upk2b\nJnKDu/O5/Fdnuf+FzWZj7ty5eL1eampq2LRpk6CbbTYbM2bMkAQKiLKPzWYTGkgmk2HBggVs3LhR\nRACCwSDZbJahoSFJaB6Ph3A4TCqV4v333xelH5UcFQVFAYPUjvHE+g6O9C7lOdO3SSS8/H2bCXff\nu9TX1xMOh9E0jUwmw8DAgHSSCmmvLAGVBdbw8LD4aXZ3d1NWVobBYBDAkELJ1tbW0tfXJyj0lStX\nsmHDBvx+P3V1dSQSCVKplLgA9fT0CMpXOYOoAkDXdQwGg+i7KoUxq9XK3LlzufLKK1m6dCmPPvqo\neF1OBtBTt915552CeC8pKZGEnEgkaGxslGuhSqKFSPx/gX4OoMjn89hsNlGOcTgc1NbWAoiggEK9\nKuCA0m7clazTrj58BVqYTLt0rxR8dvwRGq4E48dLKv/MGK8SpAyelb2Sz+dj8+bN5HI5qqur8fl8\nrFixQi4aX//61/nFL37Bbbfdxsknnzyhsp1sbFt4eJ944gnS6TQLFizA4XBIUTIetKR+d6qOf6ZC\n5PN5IpEI2WxWlJuUSpPL5SIQCNDV1cXQ0JAUaKFQSOgara2tAhzyer309PSQSqUoLi5maGiIRCIh\nHZ/Sf25ubhb1LrPZPCo+UF0t3VdfXx8ulwuTyURN/lUW+v6Ehk7Y8AFbHHOx2Wy4XC5KS0vxer04\nHA46OzuJx+OSANVrU92lpmkUFRXhcrkoKSkRc2W1l2xpaRGR90QigcPhoKuri/fee4958+aJsEp1\ndTUzZsygpaWFUCiEz+ejubmZVCrFyMgIFosFTdMoLi6mt7dXJPhCoRDt7e1s2LBB+OMWi4UtW7aI\n6Mrs2bM577zzOP7442lsbGTmzJninrJ27VreeustVq1axR/+8Ac0TcPj8eBwOCgrK8Nut1NbWyuT\nOrXSGs+5VGuqqVq4TqmEqWDpDQ0Nsrvwer3k83n6+vrw+/1Siak9pwK57Opiu6sPf59pJBPMn1/c\nL5MlTFQJAgSar0AVqsotLy/H4XBQU1NDcXGxIO0GBwc544wzOP7447n77rulgx8/ooWJCkF//OMf\naWhooLGxkWg0Kl1EYXGiEqXaMf9L2Wf/DE3TxC9WqWMZDAaGh4dFgUt9JzKZjOztlICAruvCc1Rc\n4pGREekUKyoqyGazdHd3k8lkKCkpYdGiRWzfvh2Px0N/fz+JRIKRkRH6+/slsfn9fj5VspGFmUfR\n0NlovYgXN1Xj8dils+zt7cXtdssaJ5FISFI3m80MDAwIklclfwWsU7gIm80mOIq2tjZ5ngaDQbqy\nnp4edu7cKbd3dnaSy+XQdZ2Ojg5CoRDDw8PU1dXR19cngvPhcJjh4WGCwSD5fJ6SkhIRaFDuKMo8\nIhaL8ZWvfIWlS5eydOlSAKHbdXR0yPtdWloqEn42m03kBhcsWEBVVdWY5kB1loUd5lSPKZUwlced\ngowrmoEChEQiEREjUEmyt7cXQBxD9vaCu09jh8zQP6wN+78VhYlq2rRp9Pb2iqdheXm57DpnzpxJ\nX1+fGAIrmspbb73FmWeeyXvvvTcpR3N8/P3vf+e///u/OeSQQwiFQrLHUp+X+nxU51uo7FOIaP5X\n4tw/QpklK5J7Y2OjIEOVqpSy0VISialUipKSElGt6erqEu5kWVnZGGsqhUpV+8q6ujrKy8sFbTpr\n1ixMJhPt7e2y2ywvL+ez9VE+a7obDZ1XIsfzWm81bW1tgnTVdZ2BgQHpdGtqaigtLWXTpk309vZS\nW1vL0NCQuCANDg6O8YN0Op24XC7RtV20aJGgY1tbW6VzU1QSxans7OzEYrFgt9vFFHvDhg1iej1z\n5kwBBXV3dwvQUcn5xeNxdF3HarVKNzs4OEg6neaRRx4RKULVeSuNXzUiVwIGCrmrELiKuz5+LTL+\n31M9plTCVB2l1Wodg2RV1ZcC7gCSNBWqTcVkH/xkY799GjuYXFB3CbQ+cUAly8LXrWkaVquVDRs2\n0NXVJQdeIY6VSHVlZSUlJSVCOrfb7Sxfvpw333xT5O52FcPDw1xyySVUVVVx4okn4vV6iUajQu4u\nLE4USb27u5vKykrh9k1VsMGBGrquE4vFsFqt9Pb2SnFTVFQkoJeKigpBchba5KnObnh4WKgn/f39\nRKNR2aHt3LmTZDIp3MBAIEBfX5+MMI1GI8XFxRiNRqGj5HI5XP8/e28eH+dVHfx/72hmNIs0o32X\n5UWWbcmSdzuJCdlDmtCUNpSlkAIBwtvC71eWAAHCW+Dl/dEWCm0oTUkDDbQpS5YSGighJoEkYBM7\njpPYjldZkrXvoxmNZtPc3x/jezMaS7J2jaT7/Xz0sWfmmec5zzPPec6955x7ToEDX8vPeLFnHU+2\nbqWoKJs9e/ZQW1urs0+Hh4dpbGzk5ZdfZvPmzVRXVxOJRPRSFJ/Ph8VioaqqSod5uru7tQyxWEx3\n0lFrFeH1ZMLMzEzOnz9PKBQiNzdX9+hUbfacTqdeQ+3z+fB6vbqCUWZmJhUVFVgsljGzYRUjVr1s\nVdF55aYVQmgvW2plruS4pnIvqxBMUVERgC7IsFL1a1kZTHj9h0yOSSqDqNpzqZZeqqLPeC6F1Co+\nMyroHWyFUFcisafus7Dx45DhmKMznX+Sk5rcbrcO9ufn51NWVqZdqVarVZckGx0dZdeuXZw/f562\ntjZ27drFs88+y/3338/ll18+YQzTYrHwhS98gVOnTnHzzTdTXV1NWVkZDoeDgoIC/dspLBYLAwMD\nNDY2YrFYWLdu3ZjG2Ib0wG634/P5dI1XVZJN1WMuLCzUjZTVzDJZF7Oysli7dq3WRVXe0u/3c/z4\ncb00xW63U1paSnNzM83NzTomqFypBQUFBAIBGgo7cKx6E129Pn7V9n/wZYW5+uoSXVxhzZo1dHd3\n09HRQXV1NYWFhXR2duqSkTU1Nbr8IqBbdxUUFNDc3AygjaXX68Xr9epC7Lm5uZSVleHz+Th58iRe\nrxen00lnZydOp5Py8nLsdjsjIyN6LXJmZibr168f02weEhnGJSUl9PT00NraCkB3d7f2BqlBhiry\nrioHqapaUkrdwWg81Kx/69atuN1uhBDaW7CS9WtZGcxwOKyr1sDrRk9ltikFUllkyZmvk2XATqW3\n5UWomGW4F67/NeRuXVLGEl53N6suJgUFBWzYsEE3zFUDkerqau1SUkkePT09+Hw+RkZGqKio4Mc/\n/jF33XUXdXV142bnHTt2jL//+7+ntLSU2tpasrOzCYVCSCl1ib5UKisrx/y7nJMNliqqebGaRZ44\ncQKPx6MHqn19fbqWserLqga7yXHq7u5uXXhENXa+4oorOHv2rHbZK5fiyZMndfKQ+m5LSwvrxLOU\nDz5MqO8a+pz3MIqNmpoqtm/fTkdHh66e4/f7dTejsrKyMeuAS0pKdGnGqqoqent79YBbZeWmLoNS\nniw1S47H47qrUjgcJhqNEgwGqa6u1kXXVXNsv99PYWGhXnKydu1a3R6sv7+fzs5OXZFM1bnu6elh\nYGCAmpoauru7GRwcJD8/X89Gi4uL8fv9NDU16fXWQgiklHo9tHLbrl69WiftqfDLSg53pKXBFEL8\nKfAFYBOwW0p5aCrfUz55lTqtjJ5yvyoDOZXi3KkL/qdV0Ds1wcddNRXx047kakEqXlhcXKxnB4FA\nAL/fj9vt1skPqs6n6uYQi8Ww2+385Cc/4Q1veAMPP/wwN9xww5jjqCLP8XicPXv2EAwGOXXqFDk5\nOZM2pbXb7fq3NswvM9VJVepNtZaLRCK6rFowGNRVtVTyS3JhC6W/fr9fuzrLysp0QRKr1UpdXR39\n/f264s7Ro0fp7e0dk3yTk5PDNu8R1nQnsmH9jq3Y7InEomg0Snd3Nz6fTxc6V7M9t9vNyMiINoSq\nRJxKXFKZ8irxJdlrpdyu6pzUestgMEhRURFbt27V2aYqKVElJXm9XioqKigrK9N5F/v37wfQsd+m\npiZ6e3t18YV169bpetB79uzB5/NRUVGhl3ypmbmKearVAVlZWbpFXjQa1WvZo9Eo1dXVOrvY7Xbr\nDNiVTFoaTOAo8CfAt6fzJdXeS6F6tKk2NKnFCSZrNjxeBZxpzSxnkeCTbksl1HWLRCI0NjaSnZ3N\nunXryMrKYnh4mLNnz9LV1cXAwAAej0ePrteuXUtzczM2m413vvOdPPXUU9xyyy3cd9993HHHHUCi\n88Idd9zBY489xu23365bD1mtVl02DUy5uzRgRjoJiQIi6l5OrjnqcDiIRqO6oLeqnaoyZZUbMRaL\n6dZtFotFxwhVEo1ab+31eqmpqaGwsBCv10s4HCYYDJI38Dhruv8RgeSk833Eiz+AMxzG4XDQ0dGB\nw+GgqalJZ9SXlpbqmaDP5yM3N5eqqirdi1UZoXA4rDPDk2Ov6vx6e3tpbGzUCXKqEpVqLq+KlwP0\n9PQQDoe1rvl8Pl2qMzMzk9raWoQQustQXl4emZmZeDwe+vr6dFEDtY4zPz9fx3vtdjvnzp3DZrPp\nZCYppV52Y7fbcTgc2Gw27XotLy+noqKC/v5+bZTB6GFaGkwp5WvAlLIqk1GjTGUEkxfgT7Q0ZM6T\nRF7537POhk23ShlqsNDe3k5bWxsOhwOv16sbcZ84cYJAIKBbABUXF2vXT2trq3YJbdu2jZKSEt0N\n/sYbb+Suu+7i9OnTFBcX89prr7FlyxZdfUWhsl/T4VqsVGaqk1arVZebDAQCOtNSzdSUzqrMy3g8\nTkdHx5iOGyMjI2OSTpRxikQiuiABvF6hatOmTVgsloQ7susM6zruRyA5HH8b0bIPUep2k5+fTywW\n0wUJent7KSgo0OszlQu4oqKCvLw8vd4SEvqgmkarCj9ZWVljEtOU21U1yVYVg1SMPXlZmsfjITs7\nWyfaKA+O6tuZ3EkI0FnHquWZmoV3dXXxu9/9Dq/Xy44dO2hpaaGnpwe73U55ebkuBqFcsy0tLTq5\nSa3ntFgsumG0Kpiwbt06HZZa6XqYlgZzOggh7gTuBHQvy4lqv6YyLxUpdn4z0aKr4UszzoZNx0oZ\narS/bds2AL2A2ev1UlVVhZSSjo4OrFYrTqcTIQQvvfSS7glYWlqqqyutWbOGe++9l3vvvZfCwkJq\namqoqKjQ5ccCgQCrVq3CZrPpZSPpdC0Mk5Osk5WVlbpJcTAY1N4e1XNSuSpVJmkgENAuxNLSUh2D\ndDqdNDU1jYklqlmr6k6kiho0NzdTWVmJy+XCWr6Ro51/Q7Trd7Rm/SmrMjLo7+8H0HF3u92uXaBq\n2Yrf7ycUClFSUjJmCZMyiip5RhlGeF1f1UJ+lT+RPPOcqP7q2rVr6ezsBBIGUQ1AHQ4HWVlZhMPh\ni4oCWCwWsrOzOXv2LIWFhbS3t9PT00NXVxd79uzROqkKHYyMjHD69Gnd0qy4uFjPQlW97bKyMjo6\nOrQOl5aW6jJ4qZnqK5FFM5hCiH1AyTgffU5K+fhU9yOlvB+4H2Dnzp0yNfY42WhoJqOlcd2lwVY4\n8hnY9S2weRJGcxak2yhOPYxisRh5eXlAouWQ1WplzZo1WK1WbRBVKr1KZW9sbEQIQXt7O16vl9HR\nUbZs2UJlZSUjIyM4HA6ys7Pxer36gTcwMEBDQwMbN2406yoXkPnQyS1btsihoaExs0LVpSN5ja/6\nfHh4WCeLqR6X6oGtDJT6VxlZgM7OTt2CLhaLkdX1MCIeZKDwXZwbLifAH1C7ahWrV6/WyWpqdqiK\nu/v9flpaWli1apXej6ojrbxWyW0BrVYr7e3t+vvqHh0cHBxzbpda1J/qqna5XDrRTs3AS0tLcTgc\nOgM3Ho/T2tqK1WrVMU1lyCORCOfOndO9Km02G7FYTPcOLS8vp6oqkVfR0dHBq6++qmUfHR3F7Xbj\n9/upr69n48aNer2o0cFFNJhSyuvnep/JywqSE3TmMh54kbs0tfnz7n+Z9THSDZXOrhIdkgclajQd\ni8UoKyujs7NTZwTm5ORQWVlJV1cXFRUVRCIRzpw5g81mIzc3Fyml7hyhehVmZmbqGJTqfZhuA4jl\nynzopIqVJRfyh7GhBmUsLRYLpaWlulB7shtTuVvdbjfRaJTh4WGdhAOJWPjIyEgi1tn9MLlNn0Ug\niXh3UllZSTgcpqCggFgsppdSFBcX6+eFMtbKSKpkpOSuRcrwqeeJcpGm5kiojHplVJO/k1x4Y3Bw\nUM9c1exVYbFYWLNmzUX9d9UaVp/Pp92la9as0Us+YrGYDoFYrVa2bduGEIIDBw7ofqQul4uOjg7y\n8/N1HFllGqvlJiq+q9zoxlgmWPIu2WRSq8Ao5jIeOMaVkprgs/Urs95/OpIcl0mOYyTXkVSzUJ/P\nx8DAgFY+p9OplwNYrVZCoRDFxcXEYjGGhoZwu90MDw9TVlZGXl4eFRUVRKNRwuHwRQ8iw9JDVd9K\nzSNQhjDV1akGZSrOmXyvqRmUMkCAdvUWFxcn7s2m75Hb8nkEklOu9+HK3U7lhftudHRUJ/aoWZxa\nr5lsFOPxuDYSybPD5NrK8HrjZPU9NeNVSUnKVTteToIabPp8PoaHh/U1Sb0GyUY2WQ6VGOf1erHb\n7bjdbrKzs7U7VSUE5eXl0dfXh8fjYevWrbqGtipH2NfXh9PpZMeOHZSXl3Po0CFdd1vp7ETr01ei\nEU1LgymE+GPgm0Ah8DMhxBEp5Zum+v3xYoBz9dDVs505yIZdaqiHU/KDIB6P4/V69cNFudJUcsFV\nV11Fc3Mz3d3dSCnZunUrBQUF9PX1ce7cOe3KUq6l9vZ2nfAxUbLGLlNlAAAgAElEQVSWYeGZqU6q\n6lvj6V9q+EQxnoFJrd2sZp3KRZmTk0PewOM4LxjLxuwPMlr9MT176+3tJRKJ0NbWprtvnD9/noGB\nASDRlcPr9eom1yp+OjQ0pOOIqTIny9vV1QW8PmhPnpGO16RBLVVLHoyqxuhZWVk6BJJ8DdQ5d3d3\nk5eXpwee6pmkCiComa/T6cTn83Ho0CEGBgZYv369zoLNyMggFArR3t6O3W6npqaG4eFh3dXpsssu\nY82aNaxevfqSv81KIi0NppTyv4D/mun3U1148/LDRgYgOrhsjWVqpSOlJH6/X5cajMfjeDwePQNo\namrSM4bc3Fzy8/P1TCAUCulqL4ODg7S1tTE8PKxHuhs3biQzM5PMzEycTqcujG9ID2ajk9NpxzZR\nF6DUWZ5a1pGRkcHo6CgOh4NYuE0by/bcP2d1dra+/5TLV8UEAR0aUK5flUik7vve3l46Ozv1ZxPJ\n7HK5KC4uHiNnsqwTNWlQiTTAGI+YCoGkzu5isRjHjx9nZGREG02Px6ONu9PpZP369YRCISCxrEVK\nyYYNG/B4PGzatAm73c7hw4fp7OxECEFBQQG5ubl6nazT6WTr1q14vV5dhSn1XFPPcyWRlgYzrYn4\nEok9OfVw3W/AVbYsjGWqq2W8bGO1EFsxPDxMYWGhnmnm5OTo9WAZGRkMDAzomp4VFRVYrVb6+/vp\n6+sjHo/T19dHa2srQghKSkrYs2cP+fn5Opa0El0+K52JDEyyoUqOnUejURwZ4cRsbvuXGS64Cru1\njsLhYZ0AEwgE6O7upqSkRBsoVU5PNRBQx1CeDrXOE9AzNhirJ0peVSAhmclmpOOhkmqSt1MeHfVe\nc3Oz7rcphGBkZISSkhItc2lpKT6fD5fLxeDgIEVFRbpyUF5eHm1tbdTX17NlyxadgV5XV6ev7dDQ\nEOXl5Xg8Hq3DqYODlZ5PYJ5I0yHYCr/YAa9+AaSEnLplYSzhdVeLGpGrh0BytrHH42Ht2rW6P17y\n91TSgapd2dTUpNutlZSUYLfbdbJCJBKhuLiYkpIS3SnB7/frzjElJSV64bpheZLaR1GRfN9NhHJn\n5uXlsTr+DKWHrsIVPo3FYsG9+k1jlocoA1JWVqbLugUCAV3UXM3Gko+vCsRHIhFtkBTJepKqMxPJ\nOlGGaeo1UK8BXVs3+VgZGRk4nU5qamoYHR3Vxlt9JxKJkJGRQTQa1c2sY7EYzc3NDA0NMTg4qFuH\nlZWVUVlZyY4dO1i/fj0Oh4Pi4mIyMzN1jFN1YVGz/vF+r5XGspphSil1+jfMbXbsmJhl2xNQezdY\nnbPfb5qQOhIebySZ7EJKTrlXM1LlSlOtlwKBgK6JqdbWuVwu3dWkoKCA0dFRYrGY3k4lXASDQV1i\nDEyywXJjoljYVKpw6Xuh80dYDt4JSOh5FvK3jdm/WtqUfC+ruGBOTg69vb06IzR5lqmq8ChDkXz8\nmeZHjHf/Jl+DeDyu+2eWl5ePcUmrf+12uy7Tt3btWv29rq4u7T612Wy43W7C4TCbNm3Sxe5HRkZo\nbW3l5z//OTabjby8PDZu3EhRUZFun6bK6509e5ZoNMqLL75IJBJh48aNwNwmTy5VlpXBVJmXiun8\nwJM+kMdL8FlGxhKm72oJhUIMDw/rJSTK0Kmeh729vdjtdpqamohGo3qmqbogSCnx+/3k5eXp0ltl\nZWV4vd6LileDSTZYblzKVTne751cgm709HcQJz8BSOJbvkKw4v24Lhg3FQNU1agA3WTc7/cDifu9\ns7OTtrY2duzYQUVFhT52cgbvpUpkTnYvTpQHMJ67VrXDy87OHjNoTY6pulwuHRJRA1fVYF2tf1Zu\nalXUwOVy4fP5dNxXJWCVlZWRmZnJwYMHdceh8vJyzp07x+joqM6yTZZnst9rpbCsDKZ6YM/kB57w\ngRwbgX3XrKhs2KmQmuigDJx62KhRuurIAK9f1/7+fs6cOcPp06fZsGEDu3btGtOWLXlmmXy85H8N\nS4PxZmlw6QHaRNmoQ0NDePy/IfvkJxBIwpu+SLjyLwkkxduTk9HUEg2LxaKr7rhcLl3WUWV8K1mT\njVPq8afLpaqOpRrE8vLySTOGVaGFYDA4JlvYYrHopSlutxun00lPTw+dnZ2sXbuWrKwsmpub9eC0\npKSEzMxMWlpa9GC2oKCAo0ePUlRUxLp163S4pKqqSstjBqrLzGBKKWecHTuhglidsPGj0PhvcO1T\nxlgmkbxuLNWNlpy84XQ69QJ2tVhbJf6oTifqgTadjEpD+jM6OqrX7k62xjCVibJRAeKONxLx7CRS\neCP+4g/omaWqyNPR0aFL7ql9qdmZ8oRYrVbWrVunZ1BKpuRB83j3W2qccbLwQOqymZnUs059LqmC\nHsnXdO3atUQiEVpbW4nH44TD4THrSNVSE3XNR0dH6evrw+12k5GRQUlJCUNDQ3pd9O7du3WGrgl/\njGVZGczZ/LgX3dDBVhhugcIroObDUH0nWGxzIOXCMZ9xv9TRs3KVqYdJcjmx2tpa3YTW5/NRUFDA\ntddey+HDh3WX+oqKijEPLqOsywPVSzHZKKQaian+5paO/yGr+GrirlKCb3wSpysbcaHQQHICj3JN\nKk+HctNGIhFdkzU5hKDKPCYbp1SZkt3ByWsuZ1t681Iz2dR9qDaDao0oJLwynZ2dxGIx3G435eXl\n+rtqBr1p0yZdYH5kZISOjg4GBwdxu93k5OSwfft2zpw5w6pVq8ZdAmNIsKwM5pyhYpahTrj2V1Cw\nZ8kZS5jfuJ8yiCr1PbVii1JqVbGlsLCQo0eP6mLQDQ0NbNu2jaGhId3CK7nm6HzIbFh4kt2OqUXK\nx8u0Vg/5ZBc/AI0PwoE7oOiNWK59iixPwtOTlZV1UQLa2rVrL2r4rkrAhUIhjh8/Tm1trY7nKYOr\n9gfoHrDqPSWjy5WobZvstp3t9ZnOfZ7szYHXXd5q6Yvqx6lQA1g1q87JySEvLw+LxUJxcTFtbW1k\nZWUxMDAwYQsvM4h9HWMwU0lN8PHULLZEM2Y+436p9TWTj6O6NKiRuVJa1Tuwu7ub1tZWcnNzqaio\noLi4WBtW9dAzscrlQ/K9ktpxA8aWXlTJOWMMmDKWSCi96aLBa+r+VfxSPeTVPacaRitDmpOTow2A\nmjWqZJrUezpZRmBe6qtONKsdz1Clyj2RviSvoVa1d10uly6pZ7FYGBgYwOfz4fP5yMvLw26365J/\nqZ6jlT6IXdEG86IbcpmVu5vPuN9ExliNxJOTLTwej1bOqqoqTpw4wcDAgK7jmZmZSXFxsa7Hmfwg\nMyx9pup2HG+GOcZYbvkK1N09pf0n3/sqOzYcDrN69WoikciYYgSTyTSRjDMd0E1U+CC1WMh4ruvJ\n6O3tpb29XSc8JSfgJbugk70/qv/m0NAQ+fn5bNy4Ubf5UkZSLVkxrb0SrGiDedENeewry8ZYzjfJ\nrrbkEahSqjEPPRLtl1RZPbfbrR9iqh/fyMiIXmOW/GAyLH2mOnBL3i4rK4t4qB95OJENO56xTDY+\nk63XdblclJaW6v2m3lfjVdmZ7bmMh5rpqrWgMDa2O9GsdiK5kuVW7cAcDseE61vV8hW1XjorK9F/\ntK+vD6vVSk1NjS5WoKoHqWpeK31mqVjRBvOiG3L718HqgrrPGmM5BcaLXV700LtQUL2xsRGXy6W7\nyauKIsFgECnlmMSLnp6ecZeWGFYWwZidkfqH8IReJrPu0xd/PkGR9tT3kgtujMdCZWBPVCM2ed3l\nZGs+FeO5SPv7+3VR+eRkH7W9Gth2dHQwPDys6+Y6HA48Hg/hcJienh7WrFmjZQoEAroXqSHBir4S\nFouFLMsglt++DcJ9kJEJ275qjGUSd9xxB0VFRWzevPmiz1yuRBmz1tZWbrjhBpxOJ1/72tf05z09\nPezdu5err76affv26a4mf/7nf64LGxQXF1NRUUFhYSGFhYWsXr2a4uLii0bVPT097Nmzh23btvHc\nc8/N+3kbFpHGB+Ho/8XlcuEsfwO2+k+Ou5m6/1KNz1Tdhwtd7s3lcpGTk6MzdycrmzcRoVCI3bt3\ns3v3bnbs2MHnPve5MYZYhUIGBga47bbbqK6uZs+ePRw7dgyAEydO8Pa3v53rr7+e3/72t5w4cQIh\nBPfccw+hUIjOzs4x8WPVPHo8nnvuOerq6ti6dSsjIyOzv0BLgBVtMHXM8vyj8NJdiy1NWvLe976X\nX/ziF+N+phS+oKCAe++9l7vuGnsNf/CDH/AXf/EXPPvss+zbt4+qqip+8pOfsHHjRqqrq3Vd2sLC\nQnJzc3G73djt9nHT2n/1q19RX1/PSy+9xJVXXjlv5wuMcZkZZkdyBuqUUDHLV+7B0ndgUoMynsGZ\njhGaSi3YuWQmBjKVzMxMnn76aV544QUOHDjA008/zSuvvKINsfL2fP/738flcnHkyBE+9rGP8Xd/\n93dkZWXx4IMP8t3vfpfPfvazPPjgg0SjUb797W/zmc98htHRUbq7u+no6KCzs1NnLk/EQw89xGc+\n8xmOHDmiy2HOF+mikyvXYKYm+Gz/+mJLlJa88Y1v1F0bJqKoqIhdu3Zhs43NXrTZbHrhtKpQ8sAD\nD/Dxj38cj8ejq/qo1P+cnBy6u7u59tpraWho4LrrrqOlpYUjR47wqU99iscff3zc0ezdd99NbW0t\nDQ0N2mg3NTVdtB9IDAAeeeQR/V01ev71r3/NlVdeya233kptbS0A3//+92loaGDLli3cfvvtQGKm\ne9ttt7Fr1y527drFb3/7WwB+85vfsHXrVrZu3cq2bdt0CbaVzujo6NQNUmqCT+EV0z6emjWqxf2T\nPfDHm42me5FxIYTWHafTSTQa1V1FkmetTz75JG9/+9txOBy89a1v5de//jVSSiwWC1JKMjIy8Hg8\neh309u3bWb16te5/6fP5aGpqoquri5///Ods27aN+vp67rjjDsLhMA888AA//vGP+fznP8+73vWu\nMTIODw9zyy23sGXLFjZv3syPfvQjIDHoTd0PwOrVq+nt7QXg0KFDXH311QB84Qtf4Pbbb2fv3r3c\nfvvtjI6Octddd7F582YaGhr45je/CcCLL77IVVddxY4dO3jTm95ER0cHAPfee69+LrzjHe+Ymx9A\nSrls/nbs2CGnxPB5KR9fJ+VDSPnz7VKG+6f2vRXKuXPnZF1d3SW3++u//mv51a9+Vb8eHByUN998\ns9yxY4fct2+f/Id/+Af5rW99S7a1tcloNCqllDIajcqOjg4ZDoel3++Xt9xyi3zwwQellFJ+5zvf\nkX/0R38kpZTy3/7t3+SHP/zhi47Z29sra2pqZDwel1JKOTAwIKWU8s1vfvO4+3nPe94jH374Yf19\nt9stpZTymWeekS6XSzY2NkoppTx69Khcv3697OnpkVJK2dfXJ6WU8p3vfKd87rnnpJRSNjc3y40b\nN+rjPf/881JKKf1+vz6/iQAOyTTQmfn+27ZtmxwdHZ30WkgppTz7b1I+JBI6efQrl95+Avx+v2xr\na5MdHR2yra1N+v3+GX1/ut9bSGKxmNyyZYt0u93yU5/61LjbbNq0SR48eFD6/X7p9/tlVVWVPHfu\nnHzxxRflzp075ZVXXil/97vfyeuuu04+/PDD8sSJE3rbc+fOyZdeekn29PTIrq4uWVFRIU+ePCml\nlPL222+X3/jGN6SUF+uS4pFHHpEf+MAH9OvBwUE5MjIy4X6qqqq0nh08eFBeddVVUsrE82T79u0y\nGAxKKaX853/+Z3nbbbdp3err65ORSERefvnlsru7W0op5Q9/+EP5vve9T0opZWlpqQyFQlLK158L\nEzFVfVyZM8xYEEaDJht2nvF6vfzsZz/j0KFDbN++nSeeeII3velNfPjDH+Ytb3kL+/fvJxAI0N7e\nzrlz5xgcHGT//v3ceuutxONxbr/9dp5//vlLHsPhcPD+97+fxx57TM8W9u/fz5/92Z8BTGk/ALt3\n79ZJD08//TR/+qd/qpcfqFn2vn37+MhHPsLWrVu59dZb9brBvXv38vGPf5x7772XwcHBMYvHVzJq\n1nNJwv1MtnRkqqh1vKq58nSXQkw1BrqYM1EhBM8//zwtLS288MILHD169KJtkouvu1wuhBBIKWlo\naOCZZ55h3759HDlyRJfH++QnP8mdd96J3+/XHYRisRgdHR2sWbOGmprEevT3vOc9PPvss5PKV19f\nz1NPPcWnP/1pnnvuObxeLydPnpz2fgBuvfVW7e7dt28fH/rQh7Ru5eXlcfLkSY4ePcoNN9zA1q1b\n+fKXv0xraysADQ0NvOtd7+I//uM/5kwfV5bBDPcn+lh6auD6Z42xXADUYvTPf/7z3H333TzxxBO8\n8Y1v5L777uOee+4hEAjQ29uL3+/XN/V04kpWq5UXXniBt771rTzxxBPcdNNNl9w+uUpKJBLRn7nd\n7imdz4EDBzhy5AhHjhzRlVLuvvtuHnjgAUZGRti7dy8nTpyYkvwrnnBf4t9NH4c3vTArYwmvFzGI\nRCIzihdONc640PHP8Y5tt9u55pprxs0xKC8vp7+/H4vFQiwWw+fzYbVa6e3tZWhoiK6uLr73ve/x\n0Y9+lP/8z//knnvu4d3vfjdf//rXqayspKKigry8vBmdX01NDYcPH6a+vp577rmHL33pS5Nun6yT\nqf1JL6WTUkrq6uq0Pr766qv88pe/BOBnP/sZH/7whzl8+DC7du2akzjoyjGYwVZ4cje8+NGE0cyu\nNsZyAQgGg/z+97+nsbGRuro6rbgDAwN6ScrmzZuprq6mqKiIK664gl/+8pe4XC4eeuihSyb4BAIB\nfD4fN998M9/4xjd4+eWXAbjiiiv44Q9/CDBmP6tXr+bFF18E4Kc//SnRaHTc/V577bU8/PDD9PUl\nHuj9/f0A3HjjjTp2AnDkyBEAzp49S319PZ/+9KfZtWuXMZhTofFB+Ok66Pld4nX+rlnvcjpZskvh\nOKn09PQQiUTweDwIIXjqqad0v8pkbr31Vr73ve8B8J//+Z/s3btXFyXIysrikUceYffu3WzYsIFo\nNKoT7QYHB4lEIhQVFdHf309hYSHnzp3jzJkzAPz7v/87V1111aQytre343K5ePe7380nP/lJDh8+\nzIYNG2hqahp3P8k6+eijj0643xtuuIFvf/vb2vD19/ezYcMGenp62L9/PwDRaJRjx44Rj8c5f/48\n11xzDX/7t3+Lz+fTS3FmxVT8tkvlb8IYZmrMMpK+8Yl04x3veIcsKSmRVqtVlpeXywceeEBKKeV9\n990n77vvPimllB0dHbK8vFxmZ2dLr9cry8vLpc/nk1JKOTo6Kt/ylrfIw4cPy2g0KhsbG+Vll10m\nN27cKL///e9fFN9qamqS11xzjayvr5fXXnutbG5ullJOHMNsb2+Xu3btkvX19XLz5s06bjnRfjo7\nO+WePXtkQ0OD/NSnPjUmhnnLLbeM2feDDz4o6+rqZENDg3zPe94jpZSyp6dHvu1tb5P19fVy06ZN\n8kMf+pCUUsqPfOQjsq6uTtbX18t3vOMdOnYyEayQGOaEOpkcszz+95Neq4VgdHRU+v1+fT+mvk4X\nXn75Zbl161ZZX18v6+rq5Be/+EX92ec//3n5+OOPSymlHBkZkbfddptcvXq13LZtmzxy5Ij0+Xyy\nra1NdnV1yauuukq2tLTIaDQqn332Wbl582a5fft2+eKLL+q8gubmZtnW1iYff/xxuXXrVrl582b5\nvve9T9/bE8Uwf/GLX8j6+nq5ZcsWuXPnTnnw4EEppZT79u0bdz/PPvusXL9+vdyxY4f8xCc+MSaG\nmZwTEY1G5cc+9jG5adMm2dDQIL/5zW9KKaV86aWX5JVXXikbGhpkbW2tvP/++2UkEpF79+6Vmzdv\nlnV1dfIrX5k8Lj5VfRSJbZcHO3fulIcOHRr75jIrd7ccWYnFnYUQL0opdy62HPPNuDo5hXJ3s2Em\n95Mqtq7q0Ka+Xop0dnZy5swZsrKyqK6uHtN7c7LrEggEdBxeFTBYytdhKkxVH5d3ZsJoGH51nTGW\n88ylHlDqc1XZB8aWKBuvVdhKMp4rivZfzKuxhJl16ZluWbqlQEFBgXZf2u32CfUqVX/tdjvhcJii\noiJdDGEpX4e5ZHk/kTIyoe5zkLfLGMt55FIJEOrz7u5uGhsb6ejoGLNtcjxoMZMpDAtA0VVQcsMl\njeVsslBnEl9MLdYOl24Qne6odl4Wi4X+/v4J9SoYDDI4OKgbbPf39+Pz+XTS0FK/DnPJ8pxhBlth\n6ASUXA9r/xxW/xlYlueppgOXGo2r3pl2ux2n06nT3RXJD6uFGNmvRBfwonP+J1B8Ndhz4OqfXVIf\nZ9PLdTa1Yeezh+xiMFEzhNRtkvuHJvfWNIxl+VkRFbMMnodrfgnFVxljOc9c6gGlUv2tVivl5eVa\naQOBwLhtjub7QbXcHoppz9l/g9+/H/J2wg3PJTw/l2CxXKLLwRWbTGozhIm2KSoqGqODJSUlCynm\nkiEtLYkQ4qvAHwIR4CzwPinl4KW+V5QVGZvgk9swz5IapkLyQ0jN6JI72gMLasCW20NxIZipTv5h\nXW/CWCJh1W1TMpawcB1EZnPcdPBUzJUMqeedDueWjqTrlXgK2CylbABOAZ+Zype+/bZTJsEnDRkv\nDpIcZ1roNW0mLjMjZqSTn7+xGZCw9W+g9uIWXUuZdIi3z1SG1Bhx6ut0OLd0JC1nmFLKXya9PAC8\ndSrfq8wJG2O5REgd0RrXaHozU520CBbcWC7U7GgxPRXJmeczkSE1LJH62nhhxift12EKIf4b+JGU\n8j8m+PxO4M4LLzcDFxdWXHgKgN7FFgIjRyrpIgfABill9mILMROWgE5agAxgFFBptuny28+VHOOd\n46W2T96uAOhPeS91m4UgXX6XKenjohlMIcQ+YLzI8ueklI9f2OZzwE7gT+QUBBVCHEqHxeBGDiPH\npUgnWRRGJ40cRo7JWTSXrJTy+sk+F0K8F3gzcN1UFNNgMMwOo5MGw+SkZQxTCHET8CngKimliTob\nDIuM0UmDIX2zZP8JyAaeEkIcEUL8yxS/d/88yjQdjBxjMXJcTDrJMhWMTs4NRo6xLCk50j7px2Aw\nGAyGdCBdZ5gGg8FgMKQVxmAaDAaDwTAFlp3BFEJ8VQhxQgjxihDiv4QQOYskx58KIY4JIeJCiAVP\nmxZC3CSEOCmEOCOEmPseSlOT4btCiG4hxKKujRVCVAohnhFCHL/wm/zVIsnhEEK8IIR4+YIcX1wM\nORYSo4/6+IuujxfkMDo5Vo5p6eSyM5jMsITXPHAU+BPg2YU+sBAiA/gW8AdALfBOIUTtQssBPAjc\ntAjHTSUGfEJKWQtcBnx4ka5HGLhWSrkF2ArcJIS4bBHkWEiMPqaPPoLRyVSmpZPLzmBKKX8ppYxd\neHkAqFgkOV6TUp5cjGMDu4EzUspGKWUE+CHwRwsthJTyWRLVRBYVKWWHlPLwhf/7gdeA8kWQQ0op\nAxde2i78LeusO6OPQJroIxidHEeOaenksjOYKdwB/M9iC7EIlAPnk163sgg3YzoihFgNbAN+v0jH\nzxBCHAG6gaeklIsixyJh9DGB0ccklpJOpmXhgksxjRJeMeChxZTDkD4IIbKAR4GPSimHLrX9fCCl\nHAW2Xojl/ZcQYrOUMh3qH88Yo4+GmbLUdHJJGsx0KeF1KTkWkTagMul1xYX3VixCCBsJxXxISvnY\nYssjpRwUQjxDIp60pA2m0cdLYvRxHJaiTi47l2xSCa9bV3AJr4PAeiHEGiGEHXgH8NNFlmnREEII\n4DvAa1LKry+iHIUqS1QI4QRuAE4sljwLgdFHwOjjRSxVnVx2BpOZl/CaU4QQfyyEaAUuB34mhHhy\noY59IcniI8CTJILpP5ZSHluo4yuEED8A9gMbhBCtQoj3L7QMF9gL3A5ce+GeOCKEuHkR5CgFnhFC\nvELiIfqUlPKJRZBjITH6mCb6CEYnx2FaOmlK4xkMBoPBMAWW4wzTYDAYDIY5xxhMg8FgMBimgDGY\nBoPBYDBMAWMwDQaDwWCYAsZgGgwGg8EwBYzBNBgMBoNhCizJSj+GxUcI8RbgFsADfEdK+ctFFslg\nWNEYnZx/zDrMZYAQIiClzFqkY+cCX5NSLtYCaIMh7TA6uTwxLlnDbLmHRK8/g8GQHhidnCeMwVxG\nCCE+LoQ4euHvo0nvf/5Ct/fnhRA/EELcNY19uoUQbUKI/+/C610Xylg5hRB/C/yP6mtnMBjGYnRy\neWFimMsEIcQO4H3AHkAAvxdC/IbEb3wbsIVEc9TDwItT3a+UclgI0QAcEkJ8GfguiRqQHwSuB7xC\niGop5aLUCDUY0hWjk8sPYzCXD28A/ktKOQwghHgMuJKEF+FxKWUICAkh/nu6O5ZS9gkhgiS6C/y7\nlPIIcAS4d86kNxiWH0YnlxnGJbuCEUKsFUJ8RwjxyIXXbiHE94QQ/yqEeFfK5q+QaM77tQUX1GBY\nIRidTG+MwVw+PAe8RQjhEkK4gT++8N5vgT8UQjgudDd/s/qClLIxJZPuT4BHpJQfBG5VbwohCoFr\ngEellPHkgwohLCmv7UKIe4UQ/ySE+JYQ4o7xhBVCvFcI8ebxPjMYlglGJ5cZxiW7TJBSHhZCPAi8\ncOGtB6SULwEIIX5KYjTaBbwK+CbYTcWFzwFGk97/DvA0iZgLF/b5XhLxkkPAPyRt+0ESSQf/c2E7\n64V/64B3AcXAAzM5R4NhKWF0cvlhZpjLALXeS0r5dSnl5gt/yQrzNSllDfAmoIqJEwxaSSgoXLg3\nhBAfAkaAT5NovpvM/6QcB6AOOCiEsAgh/oFEA2GACOAg8YC4fbrnaDAsJYxOLk+MwVwZ3C+EOEIi\nG+9RlXIuhMgXQvwLsE0I8RngMeA2IcR9wH8LIdYDHwP+l5TyPNAhhEiuHjLeqPgYsEtKGZdSfhQo\nuPD+/0ti1PttwDUP52gwLCWMTi5BTKUfw4y44P7plVI+IefHoCIAACAASURBVIQoBt4spfyOEMJO\nIgkhA4gBHVLKvxFC/AlwHYnR7Frg1+r7i3ICBsMyw+jk/GMMpmHWCCFuAiJSyqcXWxaDwWB0cr4w\nBtNgMBgMhilgYpgGg8FgMEwBYzANBoPBYJgCxmAaDAaDwTAFjME0GAwGg2EKGINpMBgMBsMUMAbT\nYDAYDIYpYAymwWAwGAxTwBhMg8FgMBimgDGYBoPBYDBMAWMwDQaDwWCYAsZgGgwGg8EwBYzBNBgM\nBoNhChiDaTAYDAbDFDAG02AwGAyGKWAMpsFgMBgMU8AYTIPBYDAYpoAxmEsIIUSlEOIZIcRxIcQx\nIcRfJX12kxDipBDijBDi7sWUM5WJ5J7sfAyGpcBSvbcvJZ8QIkMI8ZIQ4onFkjEdEVLKxZbBMEWE\nEKVAqZTysBAiG3gReAtwEjgF3AC0AgeBd0opj09hn3bAJqUcvsR2GVLK0ZnsaxK5B8Z7fypyGwzp\nwHzc24upk0o+IcTHgZ2AR0r55kvJvFIwM8wlhJSyQ0p5+ML//cBrQDmwGzgjpWyUUkaAHwJ/NNm+\nhBCbhBB/T8LY1kywzcNCiG8LIQ4An5npviaSe5LzMRiWBHN5b6eDTl74bgVwC/DApCe/AjEGc4ki\nhFgNbAN+T+JGP5/0cSvjKKcQwi2EeJ8Q4nngX4HjQIOU8qUJDlMPdEkpL5NSfnmW+xpP7ku+bzAs\nFWZyb6epTv4D8CkgPtn3ViLWxRbAMH2EEFnAo8BHpZRDQoipfrUDeAX4gJTyxCWO4QDygC/Ndl8T\nyX2p9w2GpcIs7u200kkhxJuBbinli0KIq6eyj5WEmWEuMYQQNhI3+ENSyscuvN0GVCZtVnHhvVTe\neuH9x4QQ/1sIUTXJoeqA30spYxN8Pp19TST3hO8bDEuFWd7b6aaTe4FbhRBNJEI71woh/mOy/awk\nTNLPEkIkppLfA/qllB9Net9KIunnOhIKcxD4MynlsQn2kw+8G3gf0EtiRNqUss17gfVSys9dQqap\n7Gsiucd932BYKszVvZ0uOpmyzdXAXSbp53WMwVxCCCHeADwHvMrr8YXPSil/LoS4mUTsIQP4rpTy\n/05xn7uBDinl+ZT3/x54QUr5o2nIN9G+xpUbGJrofKZ6TINhMZmPe3sxdTJZPmMwL8YYTIPBYDAY\npoCJYRoMBoPBMAXS2mAKIRxCiBeEEC9fqEbxxcWWyWBYqRh9NKx00toleyEw7ZZSBi5kdD0P/JWU\n8sAii2YwrDiMPhpWOmm9DlMmrHngwkvbhb/0tfAGwzLG6KNhpZPWBhMS9RJJ1DmsBr4lpUytonEn\ncCeA2+3esXHjxoUX0mCYAhYh+eJNTVy5dpDsO+K9UsrCxZZpulxKHy9sY3TSsCSoyg3x7bedpPDO\n2JT0Ma1dsskIIXKA/wL+Hynl0fG22blzpzx06NDCCmYwXAopIToI9lyIx2DgCKJg14tSyp2LLdpM\nmYo+gtFJQ5oSGQBbDggBQ6cQ3g1T0se0TvpJRko5CDwD3LTYshgMU0ZKePGj8OQeCLaDxQr5S9ZO\naow+GpYswVb4xS546a6EfnrGrXM/LmltMIUQhRdGsgghnCTaV02pRqLBsOgoY3nqXhhuBt+4hZeW\nDEYfDUueYCvsuxoCZ6Hr1zAanNbX0z2GWQp870LcxAL8WEppGpoa0p9kY2mxw5WPQekNiy3VbDH6\naFi6JBvL3O1w3T6wuqe1i7Q2mFLKV0i0nTEYlhbHvzLWWJbfstgSzRqjj4Yly2gIfnXtWGNpz532\nbtLaJWswXIp4PE4gECAejyOl1H/xeJze3l4OHTpEY2Mjg4ODxGIxAoEAo6Ojert5Y/Xt4K1dNsbS\nYJgJyfq5qGQ4oPZuyNs1Y2MJaT7DNBguRTAYZGgo0WbQ7XYjpWRwcJCmpiZee+019u/fz7p167jy\nyitxOp2cPXsWq9XK1VdfjdPpnFthpITmH8Cqt4O7Ev7g5USSj8GwwojH4wSDQW0wAbKysi56bbHM\n85wt2Ar+01B8Day7A9b8+ax00mizYUljt9sZGRkhLy8Pn89HW1sbhw8fpquri8bGRo4dO8aqVatw\nu928/PLLPPHEE+Tm5pKTk8Pll18+d4Ikxyy7fg177jfG0rBiCQQCdHV1UVhYiMfjweVyAYkBbldX\nFwAWi4WsrKz5E0LFLIOtcO1TUHTlrHXSaLQh7YjH4wwNDTE0NITP5+PgwYNcf/31lJSU0NnZic/n\nQ0pJNBrlmWee4Yc//CHxeJwdO3aQk5ODlJKjR49y6tQpMjIyOHbsGHv37uXv/u7vePnllwF4y1ve\nQjweJyMjY/YCpyb4VPzR7PdpMKQZatbocrkmnRkmu2GVLsdiMVwuF0NDQ+Tn52O1WnG5XFPe57RJ\nTfDJ2TwnuzUG05B29Pb28tOf/pTGxkb279+PzWbjzJkz3HjjjbS1tdHc3MyZM2dobW3l+eefJxqN\nAtDa2sqOHTvw+/0cOnSI0dFRioqKGBgY4Ac/+IE2lgDf/e532bNnz+xHuONlw5qYpWEZkhz+SNab\nVKOnXLFer5dQKERjY6P+bGhoiOrqasrKygAYGhqiq6uL4uJiPB7PHAk6TjbsDGOWqRiDaUg7Tp06\nxeHDhzl+/DjBYJCioiLcbjc///nPqa2tJRwOc/r0aU6fPk00GkVKicViYfv27UQiEQ4ePEg0GiUj\nI4Obb74Zq9VKRkbGmMSDv/zLv9Ruolkx+Cqc/mdjLA3LHqUvqXqTakiTt4vFYgwPD5OZmYnf79cz\ny1gsRnd3N7FYbO4Tgl77+rwYSzAG05CG1NTUcN1113HttdfS2NjI6tWrOX36NKdOnaKvrw+/348Q\ngp07dxKJRLDZbFRVVXHkyBFeeOEFEk01YNWqVRQUFHD8+HH6+/vZvn07NTU13HXXXWzbtm1uXEC5\nDXDlIyCsxlgali1qFmm32+nu7qagoACrNWE+Ug2pik2qTPV4PI7H4yEnJ4fKykqysrLo7Ozk6NGj\n5OXlUVFRMbexzG1/C1YXbPrEnBpLMAbTkGbE43HsdjuXX345BQUFHD16lN///vf09/fT2dnJqVOn\niEQi5OXlsXPnToqLixkaGuLAgQO88MILY/ZVXl7O+vXraWpqYnR0lA0bNvDOd76T+vr62RlLKRNl\ntfJ3Q9XbTczSsKyJx+N0dnbi9/sB6Orqwu/3s27dugn1KBKJcPToUXw+H9nZ2ZSWlo5xubpcLgoK\nCigqKqKoqGj2g9dgKxz8S9j9r+Ashi1fnt3+JsAYTENaEQgEaGpqIjMzk5GRESAR55BSYrVadWyk\nqqqK1atXU1FRwf79+xkcHMRmswGJEW4oFALAarVy55130tfXx7p168jPzycSiWC322cmYHLMMsOV\nSFd3FM3JuRsM6UgwGMTn8zEwMEBZWRlWq5VYLEYwGCQrK0u7ZOPxOBaLBZfLRXNzM4cPH0YIwRVX\nXAGgP1f/VldXz83SkuSY5eGPw96HZn/SE2AMpiHtsNlsekTr8/kYGhrC4XBQXFyM3W5n69at1NXV\nUVxcTDgcJh6PEwqFGB0dBdBFDF555RW+8Y1v8Pa3v50PfOAD5OXl6eSEGZGa4POGHxtjaVj2uFwu\nvF4vFouFnJwc8vLy9PvJ/6qMWID8/HwqKipwOBy43W69lMTj8RAMBgkEAng8nrk1lrnbYdc/zW5/\nl8AYTMOioxQtEAho5Tt8+DB9fX0MDQ3R3t5OcXEx2dnZOJ1OrrjiCkpKSnA4HDgcDlpbWwkGLy6i\nPDQ0xGuvvcajjz7KjTfeSEFBwcxjJSYb1rBCsVgslJSU6PWUqUZOzSoDgYBO+nE4HDQ0NOBwOAgG\ng7rKVmpS0KyYx2zYiTAG07DoBINBTp06xfHjx6mtrSUUCtHS0kJWVhZ2u52ioiI2btyo3TeVlZWU\nlpaSlZVFJBKhsLCQ/Px82traxuxXKWRlZSUVFRWzlFJCPGyMpWFFooziRGsmU2eNagAbCoUYHh7W\nbtzu7m6KiormJsknHgMZWzBjCcZgGtIAu93O4OAgUkr6+/tpbm7m1VdfpbCwEKfTidfrpbKykqKi\nInJzcxkZGWF4eJhoNKqXoJSVldHS0oLP58NisSCEICMjA7fbTXFx8cxdP1JCuBcchbDrn2H9X0Du\nlrm9AAZDmhOPx/UyEOAig5c6a1T/RiIRuru7WbVqFZFIZEzsc8aEeiEzD7JWw/W/AZtnQYwlmOLr\nhkVEuWKbm5txu9243W7C4TB9fX1YLBbsdjtWq5WKigpcLhc2m41oNEpmZiYDAwN6jVdRURElJSXk\n5eUhhCASiei1meFwmEgkQktLy/TXeyk37C92QqARhMUYS8OKRLlVkyv0JFfzSZ15qqUlVqsVt9uN\n1WqlqKiInJyc2blig63wy8vghf8FMg7uqgUzlmBmmIYZMFflrFRdSTXyjEQitLW14XA42L59O0VF\nRdhsNjweD3l5eXR0dLBhwwYCgQCtra2cPXsWn8+H1+uloKCA7OxsysrKGBkZIRaL4ff7kVLS2dnJ\nyMiIdhlNidSY5dBpyFo743M1GJYCE+m2w+HAarVSUFCAxWIhEAjoBB9g3ApA6rVy5866dmxyzNLm\nhdgw2LJnvr8ZYAymYVwmM4qplT1mYkDVyDQ/P5+uri5aWlo4cOAA/f391NbWUl5ejs1mw2KxMDo6\nysGDB3VVELvdTnt7u3bvOBwOYrEYRUVFrFmzhjNnztDX18fIyAhCCBwOh15DNiXGS/Ape9PUv28w\nLFHGK3+nChDEYjFCodCEiTvjzRznrMD6eAk+C2wswRhMwwRMVDcSLo5TXKrGpMPhIBQKaYOaHA+x\nWCz09fVhs9lwuVz09vZit9spKSmhpaWFgoICnE4nZWVl9PT00N7ejsPh0Iudu7u76evr4/z589qA\nKqOam5tLbm4umzdvpra2duqK+9pXTTasYUUyniFMdcfCxYZwsoSgWROPwtM3LGg27EQYg7lMmOuq\n/5Olfqcqi8PhIBAI4HA4xmynDGlyA9msrCwCgQA+nw+32008Hic3Nxer1crx48cRQjA8PIzX66Wu\nro5oNEpraysDAwOEw2FCoRBVVVUUFBQQDoepra3l/Pnz5ObmMjg4SGFhIS+99BK9vb2EQiG2bt3K\nBz/4QcrKyqZ+Xda+F5p/BA1fMsbSsODMWwePKTDejFDFLJMZr+D6RAPs2Qtlg4b/A699Da75n0Uz\nlmAM5rJhrm/Y6bhSQqGQLh6QPNJUxlbNMJVhVZU+AF2QORQKIaXE4/EQCAQ4deoUu3fvJhwOMzw8\nTHd3NwMDA2RmZmKz2WhsbGTNmjV6baXX66WoqIhQKERBQQFHjhxhaGiI6667jpycnEs/eKSEc9+D\n1e9KFCO46WAiycdgmAGzMXrzanxmgMVi0Z1G1HNhsoLrc0awFQZegfKbYdVbofJPFl0njcFcJszL\nDZvCZAkBaoaZrEgOh4OhoSEikQhWq1U3lXU6nbjdbhwOB52dnfT29mKxWKipqeGyyy7j9OnTWCwW\nWltbyczMxOFwIKWksLAQi8XCwMAA/f39rF69mqKiIpqbm8nMzKS1tZXBwUE8Hg+7du0iMzOTDRs2\nXPqaSAmHPwYn/xE6noS9P1h0xTQsbaZj9FL1aiF0eTqofINkw6h0W+UVzHkzaBWzHG6Gq38OpTek\nhU4ag7lMmPfu5Uz8EFC1JuPxuM6iUy7WgYEBbDYbXq8Xn8+H1WpleHgYt9sNgNvtpqmpCSkl+fn5\nSCnJy8vDYrGQnZ1NT08PsVhMl8az2Wy67FZDQwOhUIjKykoAvF4vDoeD6upqPWu9ZGHnZGNpsSdm\nmAbDLJmO0UvVq4XQ5ekwXik7VZBAFSVIlTcWi9Ha2qqT+FLDNZMfMCXBJ3/nHJ7N7DAG0zBlVCxD\n/SUbopGREeLxOMPDw8TjcXw+n07mqampoaWlhdbWVsrKyli7di0DAwOEQiH8fj8WiwWPx0NGRgYD\nAwPk5eVht9sZHh5mdHSU7u5uNmzYQGVlJc3NzWRkZFBYWKjdu1lZWfq1w+EgHo/r1kMqq29cUo3l\nlY9C+ZsX4lIaljnTMXrpNqNMJTVHQem/8vgk15IdHBykq6uLoaEh3cTdarXS0NAwNTf1IpS7mw7G\nYK4QJrpZJ8pknYhgMEgkEtGNndWDYe3atTqZJxwOk5OTw+joKDk5ObS3t1NWVkZvby82m42enh6G\nh4d1luvIyAiVlZXE43H6+vrweDy88sorWp729naCwSBtbW24XC7y8/PJzs7G5/NRWFgIoOMrqgQX\noGtfTsjQSTjzbWMsDQvCRDo4VzPKuU4WUvtTBlINPtWMWBUjiMfjtLS00NTURHd3N52dnQgh9Lro\nmpoaYIpu6tP/krbGElawwVzMTLTFYDJ36niZrMkkK04sFiMajerMOOVCSjZOaibq9XppaWkBEi6a\nqqoq/H4/HR0ddHV1sXHjRrKzE2upAoGA7jhy8uRJTp8+TSgUYvPmzfT19dHf36/bd/l8Ph577DHi\n8TiXXXYZDQ0NdHV1EYvFKC0t1envl/xdvRvhqv+G0bDJhjXMOzNJ5pnOc2q2yULJg2flhlXNnz0e\nj17/bLfb8fl8dHZ2cu7cOUKhEK+88gqdnZ24XC5WrVpFZWUl5eXlrFu3bsJG0+PS8CXIcEDNh9PO\nWMIKNpjzffPOJzORI9WYTZTJmuxeUduoa+VwOAiHw5SXlxOLxS5q69PT00NmZiZWq5VIJEJnZydO\npxOAgYEBBgcHKS4u1jVjT506xeDgIAClpaU4nU6i0SgDAwNIKcnIyODMmTPEYjHy8/NZu3YtQghO\nnTpFa2srQgjq6+vp7+8nHo8TDocvfSGkhMOfAG8tVH8ASq6f1rU3zA/polvzyUxcr9N5Ts3UtZs8\nIB4aGtLlJEdGRigpKdGD4s7OTk6fPq23efLJJ3V+gsPhIDc3FyklW7ZsYe3atfp7yb/tuOcQbIUD\n74c9/wruVbD5nmnJv5CkrcEUQlQC3weKAQncL6X8x7na/2xu3uRGqYuh3DMx9slun+SyVllZWfr9\n8WaeqesnBwYGAFizZo0+90AgwPHjx4lEIpSXl2sFyc7OxuPxkJmZyeHDh3Vy0Lp16ygpKaG1tZXz\n589js9l0NZ5QKITFYqG2tpbjx4/rZIM1a9ZQXV3NsWPHdM3YXbt2UVdXp6sNqSLrE16bMTHLTCj7\nA3CVz+QnWJHMp06m21KK+TDgM3G9Tuc5lbz/mcxMVe1X5YLNzMzE5/MRiUR0uEOtb+7o6KC9vR2L\nxUI0GqW2than00l3dzfRaFS7bpMH3DDOb5va/PnKR6Z1fRaatDWYQAz4hJTysBAiG3hRCPGUlPL4\nXOx8NjdvcqPUxVDuyZJvZvJ94CLlSj7X5D522dnZRCIRHTNU23i9XqLRKPn5+QwODjIyMqI7qre1\ntZGdnY3NZmNwcJCzZ8+ybt06CgoKWLVqFVarFa/XS3d3N5mZmWzcuJHh4WEArFYrHo8Hm81GIBCg\nqKgIh8NBZWWlNsihUEhvm5qar7kowecRYyynz7zpZLolvqSLAZ9pfHMy+SdbxqJyBoaHhzl58iTd\n3d16xqlqPdtsNoQQWieHh4fx+/1kZ2eTn5+ve2MGAgG93+R/XxcyJcFnz79O+zwXmrQ1mFLKDqDj\nwv/9QojXgHJgTgzmTFA3b/IMc7HkSF1IPB6TJRkkfx8YM5uE12ee6lyTZ41+v5+enh69vepGoPYb\nDodpb28nOzuboqIi3G43FRUVxONxXnnlFZqamsjPzyc/P59jx47p+Eg4HCY7O5usrCxGR0dZt24d\nNTU1eDweIpGIlqW6upru7m4aGxvJy8vTvS4nLPBssmHnhPnUyXRbSjHeQ36+3Mbzsd/JBiCpnjKV\n/RqLxWhububMmTMcOXKE3t5enR179OhRwuEwgUAAt9uNzWYjEolgt9sJBoNa/pqaGr1kLLnh9KQz\nyzRN8BmPtDWYyQghVgPbgN+P89mdwJ0Aq1atWhB5pqrc8xmXmcqIfLJRpkoVt9vtY5ZedHV1Aa+f\nY/IgAdAttWw2G3a7HUjEJ1tbW3E6nZSWlpKfn8/x48c5f/48LS0trF69muzsbLKzszlz5gxCCKSU\nDAwM0NzcjNfrxWaz6ZGs0+nUsZDS0lIgkejT399PZWWldvMEg0FGRkam9ntY7MZYziHpppNzzXj3\n1FzMOsd7JszHbHYy92yqp2xwcJCOjg56e3sZGhoiGo1q71NJSQltbW10dnYSj8dxOp3k5ubq2aiK\nc6olJfX19TgcDv3smBCRkfhbQsYSloDBFEJkAY8CH5VSDqV+LqW8H7gfYOfOnXKBxZtWV4+5ZCpG\nItkoqpGiSuwJhULEYjEdQ7Tb7RQUFFBYWKgz5VKPB9DS0kJmZqaePQJ67aWaYari53a7nWg0SkdH\nB3V1dTQ2NtLf369nr11dXWzevJmqqio8Hg+Dg4OMjo4SDAaRUhKNRsnIyMBut9PT00NGRgY+n49g\nMIjf72ft2rWsWbNm4gsgJYx0gKsMtv5tokast3ZW192Q/jo5X8yF2zgYDDI4OKjDC2qGN14t5vGY\n7Hkz0RIxVWGruLhYt7dTGe+RSITTp09z4MABHbcMhUK8+uqr9PX1UVpait/vJzMzU3+nt7dXG8bi\n4mLWrFlDdnY2eXl5jI6O6uIl4zLSBZn54CyF63+dyIhdIsYS0txgCiFsJBTzISnlY4stj2K8DFK4\ndFePhUbVeFVZpMlLR1ScIR6PE41GAejt7R3TgUShzrO/v5+hoSFdkg4SrtyMjAwKCgrIz88nFovR\n0dFBX18fmZmZjIyM0NPTQ3FxMTk5OXg8HoqLi3UVkIqKCrZt28bx48d1w+h4PE5HR4eOX5aVlRGL\nxZBS6l6XxcXFVFdXY7fbx3+IqBZdLT+C655OGEpjLGdNuurkQjAXbmOld6qzTlZW1phazJfa/2SJ\nh8oYh8NhMjMzgbEtugKBAC6Xi+7ubh2nbGtr4+TJk5w/f56ioiL6+/tpb2+nra1N5xFEIhGKi4vJ\nzs7+/9l78/C2yjP9/3O0b5Yl2ZYt79kXkhCytOwFytIWCpQd2n6BuaB0g+mvZYBSft8pBVo6dJsW\n6DItXaDLdIESkrY0BToUMglkc4hjJ473VbslWdau8/1Ded9IthwICTSY3NeVK4ksHx1J5znP+z7P\nfd8Pvb29WK1WzGazTK5Wq5UVK1agqioOh0O+j2lxKcqwrjVw6hOFpPkOwzGbMBVFUYCfAB2qqn7r\nn30+xShOkocz1eON4s2UcsXKr7q6epruqdj8vHjl6Xa7mZycxGAwMDg4KJ8rdol+vx9A9i29Xq9k\nsQqmbV9fH16vl3g8Tjqdxu12k0gkSCQSOBwOzGYzer1euveceeaZpFIp6QdrMBjQaDQsXrxYOgSJ\nWZfFu1iDwUBLSwujo6NUVlZSVVUlV8vTFi1T51nGB44ny6OAYzkm3ykojrupUq83QuI7FPGweBEs\nYlgQ9OAgm91oNOL3+0kkEuzfvx+fz0csFiObzeLz+aSmWavV0tLSgtVqxWq1Sr22yWTC4XAQj8dx\nu904HA6cTid1dXUl0rSSuNSMTx/+bKh8Sz7jtxLHbMIETgM+DrymKMrOA4/drarqn/6J5wSUJsm3\ngqxwOAw3gUAgwMjICIDsKRQ/TxzHZDLh8/lkYhVyEaGfFIEmdqIiMRkMBrLZrCTYjI6OEo1GicVi\nVFZWEgwG6evrIxwO43Q6aWxslJIPEUQiAXs8Hmpra3E6naTTaUZHR9FoNDidTmKxGPl8XvZIQqGQ\n3L1WVFRITWbxBJKSRUvZ4c8fOKrfz7sYx2xMvt14I4vamUqkM/VHxXzYQ91PyhEPxe4RoLq6Wu5Y\nJyYmGB0dZc+ePdhsNgYGBvD5fNTU1GA2m2XZVSRMnU6HXq/H4/EQDodJJBIMDQ0xf/58qquraWpq\noqqqiurqagAURaGxsRGPx4Pdbp/mKSvjkhD87ZwpBJ93XrKEYzhhqqr6EqAczu+8WZnF4eJoJMlD\nBdyhGHrFwVF8DuIiFn9P7ZWIx6LRqCzHNDU1EQqFcLlcUjcldpjRaFQGzdKlS6WQWZRNhUOPmMQ+\nb948nE4nZrOZqqoqGhoacDgcGAwGwuGw3G2K70i8jk6no7+/H1VV5TGh0BcdGhqisbGRZDLJ3Llz\npf5LTH6vrq4mnU6XCqI7v3N8+PNbhDcTk7MVb4SfcKgS6dTnTR3QLCAqRy6XS17rU5Pu+Pg4u3bt\nQlVV5s2bR319vbxfGI1G6Z4VCoXIZrPMmTOHrVu3yliqrKwkHo9LOZiiKPI1hoeHpWzL4/HQ0tLC\nggULCAaDVFVVsXLlSiwWS9n+q0ajwWYxwZ8/9I5jw86EYzZhvhkIwsjR3vG9FWzXQwXcoRh64hyE\nyfhU9ptIpgKRSET+PBqNyp2ioigMDg4SDoeJxWLyuVCggzscDjo7O6X5ucVikcnYYrHI/uLg4KCU\niAQCAUKhEGazGbvdTigUoq2tjUgkwpIlS0ilUtJgIBaL8dprr3HSSSdRXV1NLpcjk8lIH9qxsTH5\nnoUkRbyu3+8nGAySSCSkk5D8vObeAIN/gKV3HU+WxwDejkXs2+0SJN5T8bircigukep0OknumXqe\nYpdYfHzxfoR8Shid19bWlpgCCItKUUotJt9t2rSJmpoaKisr6e/vJ5lMoigKbW1t7NixQw4yEDpK\nEePpdJpYLIbBYMBoNEqeQDqdJplMMjY2hl6vl9NLIpEIgUCgREYiodHBSQ/B7vvhrPXv6GQJsyxh\narXaIybYvBna95Fa1QmU60OKY4ten3hMrPrEeeXzeXp6eiTzzel0lhwDCuXYgYEBVFVlYmKChQsX\nyr6h2WymsrJS0sNTqRQ2mw2TyYTJZMLr9UrCTSqVIplM0t7eTiaTIZFI0NDQQC6XIx6PSynI2NgY\noVBIjgKKRCKEw2EmJiaoqakhmUwyPj6ORqMhkUjIjLG7eQAAIABJREFUHa7dbieVShEMBonFYpKZ\nO3fuXFpbWzEYDKTT6YM7TLMZun4Ic/4PGBxw7ougHN8IHQsoXsS+VYntaNhcHq4zztRxV+KYxdWf\nqf3KcmxVOKiLHh8fL3kuHOQUGI1GSc4rrh5VV1djMplwu92oqkoymWRkZIT+/n5eeOEFuZgVxxaf\nVVdXF9lsFr1eTzgclnISu92OqqpyNzt37lyqq6sJhUL09/ej0+mYP38+VVVV1NXV4XQ6aWpqwmQy\nMTo6evC9TQ5BYHNh8HP9B8HzgVkRk7MqYYoL70hQLvhej+06UyAUY2oyFLtI0Wivrq7G5/Oxf/9+\nYrEY8+bNk6tHYTBQzKwr7l2IYa4TExNUVlZKNqno8xUTeNLpNKqqoiiKDACv1yt7hPF4nMnJSVas\nWIHZbJbH7u3tlW494XCYgYEBuru7SaVSsic5OTkpk18+n8ftdpPNZmWptqenR/rAnnTSSdKYYGRk\nhImJCVwuF5lMhhUrVtDa2sqiRYvo7u7GZrMRCoWorKyku7ubhoYGmpqa0Ol0GPT6gz3LkQ1w5tOz\nIjBnC4oXsW+VzGpqfE41ERevV3xvEDFbU1MjJ9wINndxDJfrQ85E0pmcnJxRx1yM4rgV5yfOfWRk\nhNbWVrlbE6Vav98vE5/gIej1etnzFw476XRaEnkEGScSidDX1ycXw8LisrKyEpvNJkfsiXaNRqOR\nXs7CHk/ooMV0ILFYaGxspKampmSHfNCUoAfOfAoaL5k1MTmrEmbJl/YmUS45Ho5RwdRBsOLx/v5+\n6cNaV1cnfycQCDA0NEQ8HqeyslJaUIkgFWVYi8VCf38/6XSabDZbsrMMBAKSDSdKKVqtVpYrhSuP\nSIADAwOMjY0RDAbl7lGv12Oz2aTWMZlM4vF4GBkZIRaLMTIyIoMkHo/T2NjIkiVLZJAlk0lSqVRJ\n39RkMlFVVYXVakWj0bBs2TIymQxtbW0Eg0Gam5vlDUdVVbxeLwaDgT179rBq1So0Gg0Gg4FoNEpH\nRwft7e0MDg7i8Xg4++yzWbxoEba99xzsWc6/ZdYE5mxB8SL2rZRZFVs4Fk/gEe2GmWK4WD5V7pg+\nn0+SceLxeElCFSVQ0Xu0WCzU1tYClC2/FjPQo9FoSewsW7ZMLpCTySQul0ueh9frJRKJSIOPRCJB\nOBwmHo+zePFiWltbGR4eJpPJsHPnTmKxGOFwGIPBQCwWo729nUQiIYceiDm0NpuN0dFRfD4fWq0W\nq9Uqz1dRFCwWC2azGYPBgMvlore3F5fLRUNDg9yFCvcfm82Gx+OZTvBxn3nUvuNjAbMqYR6NMs9U\nh4ypJZZyED/LZrP09PRgNptpaGiQx5mcnJQCfJfLVbLbdLlcjI2NkUwmZV8glUpJMkw4HKa+vp5k\nMkk6nZaPGQwGGhsbZRBbLBa6u7vxer2YTCbJhMvn83i9Xpqbm9mzZw+9vb3EYjFyuRy5XA6Xy0VN\nTQ25XE6WZwOBAJlMRjLmXC6XlJK4XC6qq6vxeDyShDM5OcnY2Bh1dXU0NTURj8dJJBJUVVUxODgo\nbxJOp5NwOCxLQIqiUFNTI4k9NpsNv9+PqqrSUEHsWAcHB+nu7mZ0dLQQyCYT1r1fgn3fO07weYfg\nUO4zR4KpOzuRrFwu14xJWsSs2DmKlkfxLtXn80n7N5PJJHWJAqJyo9fryWQy1NTUyEXl1AEHAD6f\nj+7ubhYuXIhOpyMWi8lYEcm1trYWl8tVsgNtbGxEr9fT0tKCz+cjHo/T1dUlLShXrVpFIBBgYGCA\nkZERtFotOp2O3t5eRkdHCYfDciGcTqfR6XRUV1fjcDgYGBiQybGyshK73S53zqKN0traSiaTobq6\nGoPBQC6Xk8QijebgaD9NcqQMG/ad3bOcilmVMI82JicnGR0dJR6PU1dXh9vtLqGHF5dr4CAZwGg0\nynFYcLDPmE6n8fl8APT19cmVazqdZnx8nHg8TjAYJJVK0d/fL6UXYkcZCATkgNaWlha6u7vlSlU0\n9n0+nzQkt9vtxONxaYS8d+9eEokEOp2OZDJJMBhkfHyciooK5s2bR1dXF36/XwaV1+sllUphMpkw\nGo1otVocDgcej4e9e/fy17/+FYvFInsYTqeThoYGGaA9PT309/dLNqxWq5U3R6PRSDgcZvv27SxZ\nskQOhF6wYAEGg0HOvvR6vYyOjhIKhfB6vYyMjBTISNH9MPQzVI0B5XiyfMfhSCf/FCfc4p2dMNnI\nZrOEQiHppjMVUy0fhRRDtBWEq43BYJAs82IWq81mo7KykmQyydDQEF6vl5aWFubPn08ymZTtEJ1O\nx9DQkFyMTkxMEAgEgEICdbvdzJs3D5PJJDWSgBxUIEg52WyW7du3k8vlSKVS1NTUyNaIqqq0tLSQ\ny+XYt28fGo0Gs9lMIBAgGAyi0WgIhUKS1GcymaioqCAQCMjP0Gq1yntXKpUq6WmGQiHS6TStra2Y\nTCYsFguLFy8ml8vR0tJysLLX+4tZnSzhXZAwy8kwpq5sZ1rtWiwW2dcTdf5sNitLjqIPIi42YREn\nnHXEsYaHhyXZJZ8vTPYQgReJRBgfHyeTyTA0NCQDLBAI4PF4OPHEE1FVlZGREV577TXp3Tg2NiaT\nG8DevXuxWCyccMIJ5HI5IpEIe/fuRVVVstksDQ0NNDc3s3fvXtrb20mlUlRWVqLVahkcHJRJUuyC\nGxoaGB4eRlEUmdAbGxslUWj//v3E43EURUGr1TI+Pk4kEsHj8WA0GslmswwNDcmdYyAQIJfL0dnZ\nSUdHBwsXLpTjgAwGA1arVe6sc7kcfr8fl8uFz+dj586dtLW1MTQ0xNBQgdn7iydb+dQVj1JfY8J8\nPFm+43AoAf5UzETEKy7/i52RWMCKmawiKU1NmqLKI3ajxQl0dHQUq9WKyWSSkqhsNit3fMXGH2Nj\nY5L4ZrVamZycZGhoiJ6eHllR2b59O8lkkjlz5mC32zGbzeh0OjnpQ7wfr9eLoijkcjnS6bTs7Tc0\nNDA6OkokEiGVSuF2u6mursZisfDiiy/i9/sJhUKMjY2hqirxeFxqKq1WK7FYTPIWxGvn84X5sWKG\nrDA2URQFt9tNQ0Nhko9Wq2ViYoJUKiVbJPv37weQQxAMBxa3tqVfBI0J5t04K5MlvAsS5tRyDTAt\nQGciI2g0GjlAVayiJiYmpFQDCoEXiURkMk2n0xiNRkZHR6mvr5d+quKCVRRFrmZFQ194qKbTaTKZ\nDMqBPlw2m2XXrl1yN7h582a50hNDXJ1OJ4FAAI1GQ0NDA62trWzYsIGBgQGqqqpk6XV0dJSFCxcy\nPj7O8PAw+XyeuXPn4na7iUQi7Ny5E7vdzqpVq6iqqiKVShGPx2VfsaOjg/HxccxmM2NjY7KnuWLF\nChYuXMjY2Bijo6Oyj2mxWFBVlcbGRqqqqvB6vfT09MjXrqiooLKyUpKJxHuoqKigtrZWJundu3fj\n8/kYHBykv7+Ph67NMRAYYcuWLVx00UW0tp7xNlxFx3G0UU6ALzA1QU6Nz2KyjSDCmUwm+vv7pauU\n2+2W/cdiqZk4djQalW0EQfqBwr1AJLFQKMTw8LBsc1RUVGC1Wkmn04TDYTkIAAoTe0RJdmBggImJ\nCYLBIE1NTZKooyiKJMiJpLVr1y45dUdUVUTbYd++fXJhbLVaCYfD6PV6uru7URRF6qQzmQzJZJKe\nnh55b/H5fOTzeXK5HGazWfIEEokEJpNJkohqa2tlBUqwbO12O06nk5GREQYHB+VQhWw2S3t7OwMD\nA+zbt4+mpibq7FlWTHwdzSk/AWUpLPn823YN/TMw6xOmKNeIICvHqBPBMqP41maTwZfP5wkGg9TU\n1Miyy2uvvYbRaMTj8dDa2sqLL77I0NAQfr+fuXPnyhWv2GWmUiksFgu7du3CbrfT3t4uiTqRSEQm\n0mAwSCQSkaxTkcT27t1LMBiUQST0ifF4nD179vDqq68CBcadmF03Pj6O1+uV0hERVHq9Xr5mLpeT\n72l8fJxsNsvw8DCTk5PSAkuUlEUZRwSjCEJBAhDTR8RKNZvNkkgk0Gq1VFZW4na76erqIpPJkM1m\nsVgssuQrNGuiR7R37156err5zscVbj1fJZWBK38Rwel0kkgk3jb93XG8OZQjwgkUJ07Rx5tp/FQx\n21YQTcTP+/v7CQQCmM1m6uvr5fOnslmL9cz19fXSKFyUcYXESkzlEKXdvr4+WWEJBoPs27cPr9eL\n2+1mcHCQfD7P4OAg8Xhcvq6qqoyOjtLU1EQul5Pa4VgsJol/ExMTbN++nXQ6zSmnnCJbH4qiEAqF\n5LEdDge5XA6NRiMlXiKWhDlIJpORu2Vh7qGqKkajEVUteOCLpAkFwuHKlStLYnPOnDmkUileffVV\nWZkTwxs2b94s7182mw1jzs/S0c9gyI2Q3X47vH/2Gz7NuoQ5lZkmmtLRaFRKPywWC2NjY/J5QnJR\nbH5cvMqNRqNyfJVohIuLSfioigs2FAoRi8WIxWLS6i0cDhOJRNi2bRuATA46nY6GhgasVivj4+P0\n9vbK5NXS0gJAV1cXuVwOg8GAxWLBYDDInkIul5Mrw3Q6zZ49e4jFYlKgLIg/drudQCBAJBKhq6tL\naqwEwSeVSqHX62lsbGT//v1otVoymQwej4dMJiPLoz09PaTTaRYsWEBNTQ3d3d2Mj4/j8/lYunSp\nnFBSHJwDAwNs27aNnTt3ksvlpNRk8+bNBINBXC4XZrOZyclJFi9eTEVFhewhiffp83n59sfUg8ny\nuxqSVQdHCsE/d8jvccyMXC5XlggHpZIN4Rglkpv4eTQaRafTlZRVi6d7pNNpJiYmZGVHmH8DMnmk\n02n8fj8tLS2SeQ4HbeREQhCLWr1eTzAYxGKx4HK5GB0dlQnQYDAQj8clOW3fvn2Ew2FSqRR79+6l\noqKC6upqli1bRjAYRKfTYTQaJblPr9czMDBAIpEgl8thNBoxGo0oikIwGAQK/Uu3241er0er1ZLN\nZslkMnLwQTKZxOfzyWTs9/ulzlLEjjhfQJZdpyKZTNLX10c6nUav10tJ2sjICD6fD1VV5WB4IUET\nrkVOY5wvn74HSy5KpmI5yik/f2suoGMMsyph5nK5aSvTYjNgsYqNRqO0t7djMpmoq6ujqqpKsuFE\nII6NjcmSTTabZe/evbLEYbVa8Xq9tLe3yx6J3W5nbGwMQJoTix2Q1+tlYmJCmpLHYjFZgty3b59M\nvuLcR0ZGSKfTKIoigxUKCUiYGKRSKZkoc7kcgJSFCOKAkJiI/qFWq5U9z2LdJhRuHiLRi7LT/Pnz\naW5uZmxsjEAgwNatW6WA+sQTT5Tay3g8Tnd3N5FIBFVVZT8pGo3S2dnJ2NgYPT090lZPVVVSqRRa\nrRa73Y7f7y9ZHTudTiYmJuju7qarax//35n9fOZcSGXg2u8bea5Ty4knFnwyPR7PWyJTOI6jB7PZ\nTEVFxbTvqVj+Iaoq+Xyevr4+zGYzNptNlkvFtWGxWEqm8Ij5rMVG4KLXKIw3Ojs75VQNoTsU2mfB\nUs1ms5jNZkmgy2azcndZbBIyPDzMCy+8IMugTqeTZDIp+4gVFRVSL9nY2CgrN1u2bJH2khMTE7S0\ntEhZiSjXdnV1Se6CqNwAkrwjSD4+n09K0USbRLRooNB3FJUlce7loNVqZX+zvr4ep9Mpq1dCWjI2\nNobBYJBcBVVVqXfk+f4VQ7gtGWK6BfjmP0ZN1kh5BfrswqxKmMU1+mQySTQalbILk8kkb9Lj4+Ok\n02kGBgaIRCI0Nzfjcrno6upiYGBAWsANDw/LQM1kMkQiEUmr7unpkbtXp9MpSS+jo6PS2WZwcJD9\n+/ejqiqRSIS2tjZMJhMej4doNCpJCbFYTNLRx8fH5VBXUdYUA10FhNPNVIgeqEAul5Or32KIHWQ0\nGi0paVZXV2O1WqWwOZ/Ps2rVKsnYy+fzxGIxurq65E5RMACF9EScr9lsJpPJ0NPTI1fvYvae1WqV\nhupQ2KVXV1ej1Wrp7e1laGhIsmH7+vrxVReS5cd+aOZPO/NAjj179uBwOKRl2HEcmxC99amEGZg+\nTUc43IgEK3aSomQrKkTi/9lsllgsRjqdlkQ74W4lnHgmJydJp9NUVlbKuAakJEP07MTCMxQKAeB2\nu6W3sdg1CjKeqFDNnz+f3t5eWaFqbm7mfe97H9u3b8fn80l5VygU4pVXXiEYDGKz2XA6nTL+hYRL\n7JZVVaW/v1/yGCKRCF6vVxLhBPEmn8+jKIpccIjFPDDtflEM8VmL9+VwOEin09KUZGxsjEgkIhcv\n0WgUvV4vvwu9Xk+to45YQqV9xMhT0Q9zfmueqqKqwNtpU/h2Y1YlzHQ6zeDgoCzNiNVnNpuls7NT\nru7C4bDstw0NDVFVVUU+n6e7u5vdu3czd+5cli5disPhkDu6mpoa2VdLpVJyByYGH4+MjNDT08Pe\nvXulCYHL5WLfvn1AwTwgHA4XyhlOpzQ8jkQixGIxKaAWF70gHojgeKsQDoclIamjowOXy4WqqkSj\nUVRVZfPmzYTDYTQaDYsWLSIWi8npJnq9HlVV5SpV7GAbGxuprq4mGAxKP0ohch4bG6O+vl4GaE1N\nDW63mxNPPBGNRsP+/fvJ5/N0de1j/67n8fl8PPiMlt9t0TAU0QGFhYIQXxcvNo7j2EM+n5cTcUQp\nVIyT83g8sqIjSrVCAA8HJ/A4nU65uBKYnJwkEonIRFFZWUkoFEKj0ci4tFgsDA0NMTg4yNy5c+nu\n7kav18t5j6L0KWQeqqpiNptpbm6W1/PQ0JC0aAyHw1J/HI1GJVdAJE+Xy8WePXvYu3evlI3p9Xqq\nq6sPljIPJMvu7m5ZPh4dHaWmpoalS5cyPj5OR0cHQ0ND0lNZmIIIL1dxjxCfpZCJid7lTCjmBqTT\nafL5vOyXjo2NyfcoNhYipjKZDJlMhtpKCMfT7B8Mc/kjlVisNtaeFmN4eJiFCxfK7+WtcHM6VjCr\nEmYul5O7u7q6OukyMjo6it/vx2w2M3fuXHbs2CHnMxqNRjo7O3G73ZLp1traSiAQkIlBUKoHBgak\noH/RokUA7Ny5k7GxMcl2E70DwYSbmJgo6bNls1k6OjpkuUQkxkwmI8uVbzfEblXsIg0GA4lEguHh\nYanzMplMtLS0SPZqMBhEr9djNBqlhrSyshKdTofVaiWZTEqdqNg1h0IhuesVgbpkyRIWL16M0WiU\nu3lPXR3LUv/FHXN3cF63ws5+Dd0+hQOVZondu3dLAXZLS4vcXRzHsQOxE0yn08TjcaqrqxkcHGTf\nvn309/dL1xzhuSp6jGNjY7hcLnQ6HYqiMDk5KW3ZotEokUhEOkgJ/1S9Xk80GmVwcBCdTkdVVRWj\no6N4vV5ZZgwGg7Kku2TJEgYGBiSJRVSkAoEAqqrKqotgi4rWSX9/v1yAw8HSZj6fl1IUwVgVpBuB\nYDAoF/Iej0feL3K5nEzugow3ODgoe7giwU2FcAYTn/WhkM1m5b0IkPIzRVFkBS2ZTMpkWVzFanDB\n378EnaNw+Xdi9I0aaGgomKwI3gG8tW5OxwJm1R3GaDTidruJRqNSwC/KiKKxLcgBHR0d1NXVkUql\n8Pv90mlHuHQIJt7w8LC0pRLBI7RWQ0NDdHZ2Eo1GGR0dZWRkRGoKBUtNHLdYmyj6hKIUIyB6d8Wo\nra2VgmMBj8cj2apTHxd9VIGqqio5J1NA9GAF9Ho9FRUVUg8qDNcBqS8VfR9hoSUcg0SPx+PxMH/+\nfKxWKy6Xi/HxcVlWEmVavV4vV7fhcJja2lrZh62ursZoNBIMBJgffYRW28ukswpN1SY6vQW6fUVF\nhVy9AtTX12Oz2QiHw1it1hLLweM4NqCqKj6fT+64rFYrlZWVWK1WKWNwOBxS06zX69mxY4fUH+p0\nOlliVBQFVVXlNbN0aWEo+O7duyVxTaPR0NbWJlsagu0tKjqi3O92u9HpdPT09OD1ejnhhBPkeKsV\nK1bIfzc2NhIMBunq6kKj0RAOh/H5fExMTBAKhZiYmECr1dLd3S3794A8XxH34roNh8PkcjksFgu9\nvb1MTk7KYeoi+QktsiD8KIryllSZ4vG4XKAXWwSKHauASJbz6yCSALMBJjOFHbjoG4sE+UZtRN+p\nmFUJU1xcer0enU5HZ2envHBramok2UasTMPhMHPnzpVuMgaDgcnJSaxWK4lEgnQ6ze7du+nv72fp\n0qWcfPLJVFRUMDY2RkdHB/l8nt7eXknzzuVyUsLR29sr6eoiSQimqjjX4tIKFBLL1JKKOA+xChUW\ndsLe7uSTT+bll18GCrox0cMULFxRQhYaUGBaWWdychK/3y9Lq06nE6PRKMkPiURCztUzmUzS5k+v\n11NfX8/k5CQVFRVSeypuAhUVFdTU1EjGnXASAaTPrCgjJRIJUskkJ+Z+RmtuA9m8ls/+tpYNO0KI\nMmwsFpP9WI2mMOpo7ty5BIPBkv7UcRw7ELtLwcKMxWJSGzk8PExFRQWvvPIKLpdL7siK2dO7d++W\nkquJiQna2tpYvHixlCsJQllrayvz5s2Ti8FAICBZoAsWLJBaaPH64XCYdDrNrl27UBRFWt8lk0kW\nLFggk7zQF/v9fim9mJiYkMS7ZDJJJpORko9AIICiKOh0OjlMIJlMSq22YLAKMmAul5NxOjUpiopJ\nMS/haEMwa4tRbmc5vw629cK5X4XIJBgMipxDKypKszlRCsyqhJlIJBgYGKChoUHuAHO5HFVVVZhM\npsJN+cBux2QyycQKBZsqwZZta2sDCj2UQCDA+Pi4FOULO7vh4WEZJPF4HJ/PRyaTkbooEegiwU3d\nOb4eRIIcHx9n7dq1bNq0SZZvhetQXV0dyWSSU045RSZTYZ3V3d0te3xwsBwsDNmnQuirxPHT6bQs\nNcViMdnvEYbW+XyehoYGGhsbJTlqfHwct9uNVqvFZDLhcrnI5/N0dHRI9xFx07DZbMyfPx9VVenr\n68PlcjE3+2fqchvIoePH+z7A//b3AaGy56vX6wkEAiQSiRntz47jn498Pi+JLVCQSYmqS0VFBalU\niq1bt5LP56WsSMgt/H6/nMW6ePFidu3axeDgIAaDgZaWFjo6OuSg85aWFgYHBwkGg2zYsAGr1QoU\ndnQdHR1AobIirCKFpEromMUiNJ/Ps2XLFsbHx2XpWAw2ECx14YglFgPF71Ugm81Oq+wUL1KLiXgz\n9R0P1Y88mphp96oosP720mQ5Pil+VtiYVFVVydh+N2BWvUuTyURra6tsogsNUTQalfZUw8PDUgQs\nSh3CDDwej8teWiqVksbDDQ0NOBwOdu/eze7du0vmx9XV1ckxPGJauRi7I3A4F5Nw/DEajXJ+3cjI\nCNdffz2nnXYac+bMwePx4PF4ph03l8vJMpfVamV4eJjOzk7279/PSy+9xG9+8xsWLFgwrWw7FeJ1\nhVECFMo3fX19cmqK3W5nyZIlsvcRi8Wk2YI4DyFBETR34Xok+lnJZFL2rbxeL+bGC1BZx0v+Vfyj\nO33ISRJVVVU4HA68Xu+sLwO9k6GqKlarlVAohNVqlUlQEFDEAtPr9dLd3U0ymcTr9bJt2zZqamqk\nnOFXv/oVZrOZ2tpaHA4HL7zwAr29vbS2tmI2m2lvb5fXZnd3Ny6XC4fDUaJjrqurkzpnwbAVf/x+\nv9Q09/X1AcidYnFSFNIKsRCeGoOijDoVWq12WkUJCpWSmR4vl8hmKs+KcvXrPVb8vZQ7xlT86y9U\n7r0CPvKtg8kSkCSm/v5+KisrcTqdzJs3r+xrzSbMqoQJsH//frkLjEajcg5cKpWSZRabzYbb7ZY3\ndyGl8Hq9ZDIZ6Q0rzApqamro7OzEbDYzODhIIpEgGo3K0o6qqrJHJzSMU3uTgiAg0NTUJMuzYuW6\nYMECXnrpJSwWC5dffjnnnXceq1evluUn8dxdu3bxzDPPsHnzZtra2ohEIlKLJoJ76dKlXHrppXzo\nQx/i+uuv5/rrr+fKK6/k05/+NJFIRDITRZBYLBaGh4dLzlFRFGkgDYXVuiDwCH2nYCYL3avRaJT2\neWJeZmNjoyQThUIhFEVh0aJFNDY24nQ6aE6up717Nf39FeRyHyeRSJJK7ZRCcQEhVQE44YQTqKqq\noqamZtYSDGYDJiYmePnll/F6vZx88slUVVVJqcfmzZuBQnyI8W52ux273U4wGGTr1q3Szaqvrw+t\nVsvatWvZvXs3u3btIhKJMDQ0hMvlIhQKyXJpOByWA85DoZBsHwinHUC2KUTiENZxcHTGBL6T0eBS\nOWcpPP6Swj/2KpzzgMrU/CrMGNxuN83NzTQ1Nf1zTvZtxqxKmPl8noGBAYaHh3n/+98v9X5tbW1S\nuiAo04J1JqZpiGkCgmotGvBCEyUcfBKJhKz7C3MBcRMX/56aHMUMy2II/8ZkMklVVZVk8X7ta1/j\nhhtuwOksmBcLV5ENGzbwt7/9jS1btkjCjtPpZPXq1Sxfvhyr1YpOp8PhcADw3HPP8dWvfpWvfvWr\nrF69mptuuolrrrmGLVu2cNttt7Fu3TpOOukkdu/eLZPm1JWu6DsKEXQoFMJsNmOxWOSoH6E3s9ls\n2Gw20uk0wWBQTi6ZmJjA5/MRDAaZnJxEURRsNhtz5szBbDaxVvMrVjhfoC6ziR90XYHLVSWZeoK1\nJyB2p1BYGO3evZtFixYdL8cewxB6566uLkKhEKFQSE4YiUQicrdpNBqlb7HH4yESidDT0yNjS7RS\nhD5YPD4wMCCdcwT7Va/XSyNzcQ7iuilOkv8MRvqxjgaXygtfgvm1kMqo/HaLAihA6Wdlt9tLmMSH\nqqLNJm3mrEqYQuu3f/9+zGYz8+fPZ2BgQM5SrK2tJZVKSV2VxWKRTXmRwHQ6nTQGn5yclPZzgBy/\nJRKimGYuIHaah4KYHrJkyRL+9Kc/kc/nWbNmDd/61rc4//zzpQFzT08P69at46mnnuKVV15BVVWa\nmpo466yzOOmkkzj99NNZuHBhyQUYiUSk2PoNYIKYAAAgAElEQVQLX/gCg4ODPPnkkzz11FN86lOf\nYsOGDfzyl7/k8ccf59e//jWf/OQn5c1rJogRYeKPEHE7nc6SG5HD4SiZ7CLkOW1tbdLJpXhB0d6+\nmwuq/8yKxX1kchp+s9NDOD0OKFJ/dyiXElEOL/YJPY5jE319fYyPj9Pd3S1L/JWVlXK8lNVqlaYB\nYrSdcH4SSU04/ky9JqbOqIS3liQzm1GcLLf1wl9fm/m5qqoyNDTE/v37ZQtnprbIbNJmzqqEKWza\nEokEoVCIv//979LMWxgoi4Ti9XoxGo1oNBrZaxOM1rGxMWm2Ho/HiUajkglWvHs8HCKPoMI7nU7G\nxsbYunUr//Zv/8aNN97I/PnzgcIq+n/+53/4j//4D5577jkAli1bxhe/+EU+/OEPc8IJJ6Aoiiyp\nvh6ampr45Cc/yV133cUjjzzCXXfdxRe+8AW++c1vctNNN/H888/z1FNPkc1mS7RixRB6SUD2faPR\nKH6/n/r6eqmTE6xXwZxrbm4mkUgwNjYmRxKJ3bnRaOC203q5ZPEQ6ZzCgy+tpmuyFavVKGUqghk5\nE/Fh4cKFUmZyvId57CKdTtPZ2Sl5AYKJ3dvbK9nfUyFkJMWLINETL9fvEwScqTCbzdMcsQQDfiqE\nK9BUTF0UCwjp1FQIA4WpsNlsZY9jNBpL+A4CwuVrKoRL11SU64UeTh90arI8/0GFSEJBtDXLfU96\nvZ7FixdLf+6ZMJu0mW86YSqFu+itqqp+9yiezxFBTBJJpVJs2rQJnU4nB5wKSYNer5e+rsJKTqvV\nytlwwoJKkGfEBZrJZEilUiUsU5fLNW2F6/F4CIfD8v+C9BCNRonFYqxcuZKbbrqJM844Qya9iYkJ\nNm7cyNe+9jW2b99OTU0Nd955Jx/+8IeBg1NUhGvQwMBA2QQRDoenySvEGK8rr7ySnp4efvSjH+Fw\nOLjvvvv45je/yd///nc8Hg82m23aDUOv15NMJqWhQmVlJU1NTQwPD8tZl8LRSIjG4/E4LpeL+vp6\nfD4f4XBY6iQNBgPBYJA5bh3nLeglnVX4t3Vz2Ok3Y7MVPsfh4WHZBwZKErler5c3RmGuIAZcH8ex\nGZOTk5Ps3btXxk/xjfetrgoIzWYxik3JiyFIPFMhJCNTUU4CJh4v9/xiz+epxy/3usKIvhzKnX+5\n9zXTey2Hy9ceTJbnfU0QfMr/rtVqRa/X09TUxAknnPC6TluzaUH7phOmqqqqoihrFUW5FogceOyf\nOt+lUOprlxZSmUwGo9EodU/CIN3v98sVrNBWFQdGMpmUwSAeK6ebFK9RjGJ5Rjqdpra2lq6uLk4/\n/XR+97vf8d73vhcolJI0Gg3bt2/ntttuo62tjfr6eh544AGuueYamZjFBPWprzE4OMg//vEPXnvt\nNSwWC263G7PZzNKlS2loaGDp0qWyBCrKvHfffTder5dvfOMbvOc97+GSSy7h4Ycf5qqrrpL2XcUQ\nejnR98nlctInVkxxF4ETCARkgGu1Wrq6uvD5fAQCATkZxmwu+FgOBK18+cXTMRNmu9dGNpuWZdtU\nKiUF4VN3B8XfgV6vp7a2FqPR+K7RgL0ejsWYFMbpx/uFxypUQOG7z0I6q/Cb/1UZn5zOli1GbW0t\nDQ0NNDU1lfW0ns040pLs3wA9cEyoxnO5HL29vZKYIoTEonQyNDRUsvsTjhrid4/meQhZRl1dHU89\n9RQf/OAHS2jbqqrygx/8gLvvvhu3282jjz7KOeecI51CpkJVVdra2vjb3/7Gs88+K0cHLVmyhGQy\nyauvvkooFOKPf/wjAJdccgmf+9znSo6h0Wj4xje+wfbt2/npT3/KJZdcwiWXXMJZZ52F1+ulv79/\nxvekKAqJRIKhoSGgUKoSmrZQKMTIyAgul0vODhXvPxqNHihlT3LvxVEC0Szf2mjn+R2WA2SPvDSd\nF8Oms9ns60pfoFDmKnYZOQ7gGIvJdxLEjrR4ZyYWwFN3q2LklkAxo1zos8vJNI4lNLhUfnsrfPIx\nldcGFX74vDKNDVsO1dXV0gT/eMI8POwFPg5YKCxVfnHEZ1QERVEeAy4CfKqqLnu954vSajwex2az\nUVlZyfj4uJx4LkZ4CdhsNrnD1Gq18vGZLOqm9ixaW1vlpAJA6rJEj+TOO+/krrvumsacjUQifOIT\nn+Cvf/0r55xzDg899BAOh4O9e/dO6yW+9tprBINB/vu//5t9+/ah0+lobW3ltNNOY8GCBSXlSEGV\n37RpE08//TQA5513nuzbCqxZs4aNGzcSj8fR6/WcddZZfPnLX5bDdAVEb/fAdwEcZPyK3avX60Wr\n1cqp7BqNBp/PRzKZlCOIVDXPvRdH+dQ5aVIZeHJbmviBnWs0Gi35u7a2Vu4Yp34Wgv0ozi0ej9PU\n1HSc8FOKtywmDzcej1WIpCgSYz6fp7GxUU4xKoYgGYkJKqK3rtFo5N+qqspB68WkpMbGRukLe6yh\nuGf59WvhQ//xxn7PaDSi0+mor6+npaWFOXPmvKvi70gT5k3AGPB14P8c+elMw8+Ah3mDQS/caVKp\nlHSeSSQSkr06kxXd1F6E0IkVQ+yUihEMBmW5SYzJ8nq9XH311XzlK1+htbUVoMQJY+fOnVx//fX0\n9/fzpS99iVtuuWVakhJIJBL84Q9/YNOmTRiNRq6++mpOOeUUduzYUVb3FIlEWLFiBY2NjUSjUdat\nW0dDQwNnnXVWyfNOP/10nnrqKdra2jj55JPlzwVLWKDcZ6YoihSCCwq/0WiUvVPxM5/Pd8B4PcyD\nV6VlsrzmUR0dwzlMJp8UhptMJrmCF6vW4rK4QHFfJxAI4PP5aGpqmnFX/i7FWxmTP+Mw4hGQMqJy\nOxFBpJsKwVCfCpfLVZY4U24xC4WEJWbLClnKVFKO3W5n7ty5tLa28uEPf5g5c+Ywd+5c3G63nKdZ\nVVU1TTYhhPsCqqri9/vp6upieHiYvr4+XnnlFf70pz9J8wW73T4teVZUVEzTP0OBt1DuvU71eRUo\n1pEKaLXasn3Q5moNf70zL3uWH3tUg0ajzGiiIN6fOC8h16usrJQkv3cLjjRhegETkAeOuvO1qqov\nKorS+kafL9x2BDvsUE4xRwuZTIb6+np2797N8uXL+e///m9OOeWUss/9/e9/zyc/+Umqqqr45S9/\nyemnnz7jcTs7O/nSl76E1+vllFNO4bLLLnvDiUGj0XD99dfz7W9/m8cee4zLLrusxJj8Pe95D4qi\n8D//8z+cfPLJrFq1ShJt3ogrkVhpV1ZWylFowhM2lUpJos/4+Dj3X5bg0+fkSGXg4z8y8+e2QgCL\noBfz/Q7KTdrlWLBDwWw2v+sF5jPgLYvJw41HgbeaaFPstyw0miI5ihaCoigsWLCAZcuWceONN3Li\niSeyYsUK6uvrURRlxmtf+OBOxdSSq6iOVFVVlVy7+/bt4zvf+Q6PP/446XSaj3zkIzz33HMlx5xJ\nBlPuMxDvsdzjb4T0U+9U+euduRI2rCD4vBGSkNPppKamBrPZTF1dHVVVVbIaZ7PZZv1u80gT5i8p\nOGPfQaF38rZDUZRPAJ8Q/9fr9Ue1HzkTVFUlFAoRjUaxWCz89re/5SMf+UjZi19VVf7zP/+Te+65\nh1NPPZUnnnjikOf46quvcvfdd1NZWclNN93E2rVrD/v8jEYj1113HQ899BDbtm3jwgsvlD9zOBxy\n8gogx5UJD91DQYwl0+l0WCwW6aBiMBiwWCyMjo4yODiI3+8nGo3S61fkzvL5Tj1QSiwShhGi3ylg\nMBhQVVVOoSgumQPS+lAc480E6mwSVBfhmIvJtwIiceRyOYLBIKtWrWL79u3yGnI4HLS2tnLttddy\n6qmnsmbNGmw2m2TFv11YuHAhjz76KPfccw8//OEP+f73v08kEpG717cbsQT4owUD9UKyfON9VrPZ\nzNlnn83y5cs55ZRT5PAE0SaZTWzYmXCkCbP1AAvvNkVRLj4aJ3S4UFX1R8CPADQajZrP56moqJhW\ntqisrJzWl6yuri6rgaqtrSUYDJY8NnfuXNmvTKfTeDweNm3axBVXXMF//ud/4nQ6yWQy0qhcIJvN\n8rnPfY5f/epXXHjhhXzrW99Cq9Wyf//+aQHT0dHBvn37+MlPfoLb7eZTn/oUvb29bNmypeR5Pp+v\n7Hgvi8XC7t27S15bURTa2to48cQT5eM6nU6WdgQztqqqipUrV5YYRhfLOwREL1joVzs6OmSZxmq1\nHhiLFuPEuVY6hgz8rg029WcZHtexeHFDWTKP2+0uKUupqkpVVRXBYJBIJILdbqempoaKigp27NgB\nFMpzra2tcobmmwnU2SSoLsIxF5NH4Xiy7ZFIJDjttNPYtm2bjGex8Lnuuus46aSTOPXUU1m8eLF0\nojkWUFdXx/3338+dd97Jtddey7PPPouiKDMOQzja8DhUIgmIJRUu/IYGhfxhJUsoLKzj8Tgmkwm/\n3y9nDtfW1gKzQ2f5ejgSHeaFwLUHyhIKcB2w7iid15uGmNbxRvqSsVisbD9gfHx8WjlX9OQSiYTU\nez722GNcd911JaUZMQEdCj3BG264gWeffZbPfOYz3HPPPTKAxdzMYuzatYsnnniCpqYmvvCFL2Cz\n2di5c6e8IAUCgQD19fXTzjuVSk173OVyEQgEps2KFNpK0Yepra2ls7OzRFcqSlvFEDtMQXRQFAW7\n3S77lqOjI3z5w+PccEaeq39gZ0uPnh4vQK5EKqKqqvzcEomE/L4ymQyLFi1iy5YtrF69mq9//et8\n7nOfI5vNSu/f4vdgMpkOGaiH2kXOJkE1HJsxqdFoaGxsLGGnC3g8HgKBwLTHW1paGBgYYHJykrVr\n17J161YCgYAkqUWjUa6++mpWrVrFqlWrmDNnzrTvUJD/phLHotFo2Z3d+Pi4NDXo7OyUA+T9fr80\nMInH47KSotPpqK6uxmq1YrfbWb16NTabjWQyKW0ti5HJZLDb7RiNRp544gkuuugitm3bRnV1ddmq\nlNVqLbu4LGb2F6OcyYeotjU4VTbelWUopHDptzUkc3oymQxT1xLl+qACwnhleHiY/v5+GhoayGQy\n74oybDGOZIdZDSSAGgr9kq8elTM6RqGqKpFIRK5wf/7zn9PQ0DAjdTwej3PRRRexY8cO7r//fm6+\n+eZDHn/z5s08/vjjzJkzh89//vNH7SZeU1Mjpy8UQwzmFaiursbv979u71D0T8RCQwzJLehbfXzz\nuhyfOTdPKgsVJrWEcDU2NkY8HmfOnDns3buXiooKPB4PRqORJUuWoKoq//jHP+jr6+MHP/gBH//4\nx9FoNNTX13PhhRdy9tln09vbC8DLL7/M5OQkHo/nkPT9Q+0iZ2EJ6ZiLSVVVicfjZV1rihesxb1H\nRVEYHBwECiYdF154IWvWrGHlypWceOKJ05JgMpkse9PWaDTTHhcEHCgsPHfu3Mnu3bvZvn07e/fu\npaenZ8beuLDSLJfgzGYzF154IRdffDEXXXTRtLJv8W7XZrPx1FNPce6550ozknKTh8q9zkx9X/Ea\nU5/rqcyx8a4CwScyqaLT5JlMlzdFKNcHLYbdbqe+vp5ly5bhcDioqal5VyVLODLjgp8DPz+K5zIN\niqL8GjgLqFYUZQj4d1VVf/JWvmY55PN53G43XV1d3H777dx///3TEk4xcrkct9xyCzt27OCJJ57g\ntNNOO+Txs9ksDz30EFVVVXzhC184qmUaYSQ/FcJkXqCyslLOKXwj+jGj0SjdkHK5HNlshm9el+Oz\n5+VJZeCmXzh59jVYvvwEXnzxRaDwuSxYsIB58+Zx6aWXMjExwejoqFy9J5NJ7rrrLu644w4MBoMM\nxtNPP53bbruNb33rW3IQdjqdpr29HY/Hc8jznG27yEPhrY7JoxmPYseSSCQ4+eSTefHFF8lkMlRU\nVLBq1SruvvtuLrjgghI2+JH2HycnJ3nhhRfYtGkTL774Inv27JE/a2xsZPny5Vx66aWccMIJ0v0q\nm81SX19fUqFIp9OMjIxI1zC/38/69et5+umn+f3vf4/H4+Gqq67ipptuorm5uey5OJ1O1q9fz1ln\nnSUHox/t3mphZ3mQDXvB1zWMTyrTdpZvBIqi0NzczMknn8ycOXMkK/7d5uN8JCXZ21VV/caBBv/F\nQLuqqncevVMDVVWvPcxzwmw243Q6p/Umq6urp9G06+rqpvUqoVASEj1CUX7cvn07P/vZz7j66qvl\nrkmUiIoRDoe57777ePrpp/m///f/8r73vY+BgYFpSbC3t1eWhjZu3EhfXx8f/OAH5bBbgWAwOK1f\nmUgk2Ldvn1yhi6HNIqkXIxqNYrfbGR0dlY8JrWixX6V4H8U2VxUVFdOSrd1uJxqNYjQaSaVSWCwW\nPB4PFy/18tnzxkll4ebHq9gz3oKq9rB9+3a++93vcsEFF2A0GuVk+5deeglFUbBarbIPYrPZqK2t\nJZvNlhjJA6xYsULaGwqK/oIFC/B6vYecljALd5Ez4q2OycONx6nI5/NSxlVTUyN3kcPDw9x66618\n8IMf5LTTTpP6xqOB/v5+1q9fz1//+lc2bdok5SDvfe97ueeee3jPe97DsmXLyOVy0/TKAKFQaNr1\nYzAYcDqdsvS6ZMkSzjzzTL7yla+wYcMG1q9fz8MPP8wjjzzCD3/4Q6644oqy5+bxeNiwYQNr1qwh\nl8sd5X6myu9uzU1Llm8WwlNaq9XKVpLf70en071r4guOrCTbeODvtaqqXqQoyj/dv1IkMjE2qxii\nnFoMMbVkKsbGxmQySqfTVFVV8fzzz7N69eqS5xX3KwV+/OMf89Of/pRPf/rT/Ou//itQ2N1M7Vda\nrVacTieTk5M8+eSTLF++nJaWFjmeSyAcDuNyuYBCT1RM8igucdlsNmmEvnjx4pLff+6553C73dN0\nm6lUCqvVKstb4mYRi8Xkzap4nJbA5OTkNO1qIpHg15t1vG+BgSf+18hTr0yQSm1n7dq1PPbYY8yd\nOxdVVXnhhRf47W9/y5NPPll2ygQU2I0rV65kxYoVnHbaaaxevRq3282aNWuAwm5cVVUcDkdJX2xq\nj/ZdimMyJkOhEHV1dXR3dwOF3dUpp5zCueeey3nnnUdLS0vJ7xwJy11VVdrb21m3bh1//OMfJQlu\n8eLF3HzzzVJ3PDU5lTNMP1yYTCY+9KEP8bGPfYzBwUFuueUWPvGJT2A2m7ngggvK/s68efM444wz\nGBoaKqvHfPNQ+OwvFB64MsfV3zuyZAmFBfWcOXNYs2YNixcvLhn+/m7CkSTMGkVRLqCg+zrSYx1z\nmJycJBaLcdppp/Hb3/6Wqqqq1/2dp59+mq9+9atcccUV3HvvvW/odf7whz8wPj7OfffdV1Iimoqx\nsTG5+zQajQeGLzvp7u4mFAqVJQGJ9yHkF8VIJBIlvSBxAzk8z0+V287LsqEzx1hC4aM/NB8gMfRy\nxx13cPfdd6OqKj/5yU/4r//6L1577TXMZjOXXHIJV155JTabTZa0oEC82LNnD9u3b+eRRx7hu98t\n3O8fffRRPvrRj1JdXS1vbIODg9TU1EjyBcxamcjh4JiLSUEsW7p0KZ/4xCc444wzWLlypTQY0el0\nZRdl5XrpExMTZafqhMNhfD4fv/nNb1i3bh19fX0oisKKFSu48847S5Ly6OhoiTuXwMjIyLTFKhTi\nrhyJJxKJUFNTM+1xYZBgMBj43ve+xw033MD111/P97//fa688sppz8/n85x99tl88YtfpLGxUS7A\nZ5qqMpNsTrhyNThVPnRinv/6u5Z9AQsXfyd14OcHn2symcpq1LVa7Ywj9erq6mhoaJAzasV5vtt8\nnI8koB4AzgcePPD/Z4/8dI4NiNmYl1xyCb/+9a9nHB9UjHg8zu23386yZcv43ve+94Zu2JlMhmee\neYaTTz6ZxYsXHzJhigv81FNPxev1SubsoXoImUyGaDQ6bfclGMNi5yqeC7yh/mUBKg9dneHT52a5\nvM/HvZvOY/2GP+FyuXjuuedYvXo1vb293HDDDezYsYMVK1bwwAMPcNVVV00zYIhGo9NuVqFQiP7+\nfi655BL+9Kc/8bGPfYzm5mZZQk8mk/j9flauXCnPeZbKRA4Hx1xMLlmyhG3btpUtmZcj5QDTrCqL\nHy8+TjKZZP369fzkJz9h06ZNaDQazjzzTD7zmc/wgQ98AGDatabVasvuisSIuqkQbYCpyOVyZZ8v\nBj5AIYk9/vjjXHPNNdx66620tLRw6qmnljxfVVXe//73A4XEL35XVLfKve5M0008lTmevSPL/FpI\nZlR+80p5A4iZJqSI8ymHxsZGzGYzsVhM3n9sNtu7ghtQjCMh/ewB9hT9/+mjckZHAK1Wi81mo6am\nZlpvsr6+fhqFvbm5eRp1O5FIEAwGee9738tPf/rTkqHHU/uVsVhMroQffPBBhoeH+drXviZJLAIj\nIyPTSrL9/f10dHQQDodZuXIlnZ2d+Hy+aavfZDLJyMiITJiC5j4yMiLLxsLw3Gg00tPTI383HA6j\nqqpkwBafDxT6uiIoxc6tsrJS3sTKraCbm5sJBPz8/x8KcsMpCVIZ+Mofcry4/yXuvfdePvWpT2Ey\nmXj44Ye5//770ev1fO973+O8885j27ZtbN26FShN9ELXWgyNRsMJJ5zAueeey65du4jFYtjtdtau\nXUt7eztut5uGhoYSecq7ieBTDsdiTL4Vu/2xsTF+/OMf8+Mf/5hwOExjYyN33XUX11xzTUmlRQjq\n3wyE1V1bWxsvvvgivb29DAwMYLfbaWlpwW63s2bNGlpbW8tWcAQcDgePP/44V111FZdffjltbW24\n3e6S56xcuVK2Z2aaS/t6aHCq/OXfCslyex88ve3oGr8LA3pBhPL7/dI7+t2Eo1ayURTlX4AeVVX/\nfrSOebgQY7zC4fC0ckYgEJjWr/R6vSXuMmIX2dzczFNPPVWyS9Hr9dNWyUajEYPBQF9fHw8//DBX\nXnklZ5xxxrT+iNPpnLbSrays5JVXXsHtdnP22WdLA/OpSWr//v3U1NSgKIpMesLDFg72/IxGI0aj\nkRUrVsjf3blzJ1AwW29sbJSPi4TZ2NgoAzSRSJSYoAtM7wWPc9d5YzJZXvldDbWr/oW2P3yJmpoa\nYrEYt9xyC7/+9a9Zu3Yt3/zmN+VNLBwOoygKf/zjH3n++eepqqpi/vz51NXV8f73v5+5c+fKz1hV\nVcxmMytWrOCZZ54hm83icrkYHh4mnU5TV1eHwWAoOdd3E8HnjeBYiMmjhXw+z/PPP88vf/lL/vzn\nP5PP57nwwgu5+eabWb58+VH53oPBIM8//zzPP/88HR0dJfcLh8NBS0sLIyMjbNmypYQhX1VVxec/\n//kZ+5Q1NTV85zvf4eKLL2bDhg3ceOONJT/XarUsWrRILiYPFw1OlWf/Lc28A8nyA/+hY3xS4U3m\n3rLIZDKMjY2Ry+WorKzEZrNJA/t3U9I8ZMJUFOU84CrgEVVVdyqK8okDLh7lsB446Wif4NuFXC6H\n3W4nkUiwbt26N9SzhMKN/Y477kCn03Hfffe94dfzer3s3r2b66677g3RyUWAdnV1odfrmT9/PvX1\n9WWZfQKCXTtnzpyyjxfv6qLRKDab7XVLslbNBB8+MUUqA197eQ0P/OwxWlpa0Gq19PT0cPnll9Pd\n3c1nPvMZbr311pJFhtBXxuNxTj31VJLJJO3t7WzatIknn3wSk8nEvffey6pVq+TvnHDCCUDBBcnh\ncMid8MDAAN3d3Sxfvvx1taOzCe+mmIRCz/Hxxx/npz/9KQMDA1RXV/PZz36W66+/nnnz5gGUNUV4\nowgEAmzcuFEShPL5PK2trZx//vnMnz8fs9nMmjVrSvqYuVyOXbt2kc1m6evr429/+xv33HMPsVhs\nxqS5dOlSWlpaWL9+/bSECYVqz7JlyxgYGDjs9/CBE1Xm1aolyfJoQ0xpUVVVMumj0ei7bpH6ejvM\nfwE+BdyjKIoLWCl+MHW6u6qqPo6BnsmbQSaTobq6Gp/Px8aNG6clmEPhoYce4i9/+QsPPvgg9fX1\nZWUq5SAs3s4444zXfa4oDwlTeSFpyWQyJSXJqYhGo1it1mklSlGGbmhokI+ZTCYSiQRWq3WG4xUY\nyJ39aW54vJlv33cb9zx6K1DoHf7lL3/hpptuQqPRsH79elpaWkqSZXt7O4888ggVFRV88YtflKxd\nVVXZv38/qqryox/9iF/84hclCVP0X4PBICaTSe54R0ZGaG9vx+FwyBtnMWYxAegdFZP5fJ5YLFa2\n1BiLxcr2AcPhMAMDAzz88MM8/fTT5HI5Tj/9dD772c9y4YUXymOJisvIyEjZm3Z/f/+0ys7AwAAG\ng4HNmzfz97//nfb2dqmzFgYJwpAdCrFS3OYQiMfjuN1uli9fzqJFi/jBD37Agw8+yL59+/jc5z5X\nNoYuuOACfv7zn+Pz+eT5ClJUdXU127dvl7wCm81Wlkku+ogFFIY/P74JjCYDT29TSaMgwr26urqk\ngiZQvPAshvCFLgchyXO73VgsFiYnJ4/3MMsgpqrqOHC7oigPAtIF/Fic7q7VanE4HDQ0TPcsnTNn\nTolPKhRuxkuXLmXdunUYDAaeeeYZVq5cSSKRmFZ+nZiYmBbcv/vd77j//vu57LLL+OhHP0o0GsXn\n803rVw4NDU177NVXX8Xj8RAKheTFGwgEpl2wYoJHNBqltrYWi8VCJBLB6/UyOjqK2WyWyampqalE\nhzk6OorJZJp2zN7eXnmxi52rw+Egm83icDjkjre1tfUA1V3l9rOHiU8m+fH2JTz8iz/idruZnJwk\nn89zzz338Mgjj7BkyRIefvhhmpqa2LZtm+z5DgwM8O///u9oNBpOOukktm7dWlJ+qq+vp7m5mfe8\n5z2sX7+edevWsWzZMhYsWCCf4/f75WJBHNdsNpck/WLMYgLQOyomFUUpa54PhRv0VF6AcMbauHEj\nVquVm2++mRtvvJF58+bh9/vLVlTK2UjE9IkAACAASURBVEyK4xd/97t37+ZnP/sZW7duJZFI4PF4\nuPbaaznzzDOJRCJlTQZSqVTZ6yccDpecy5133smjjz7Kk08+id1un5Y0c7kcF198MT/60Y94+eWX\nufjigs2vcACqra3F7/djt9vlsPaZhjMLu7vf35blXx/X8kqPhsdfVkinS41UZnJYisfjh0UogoN8\nDZ1Od8AveqJEs/1uweslzA1F//4yMFUo9DfAQMGK64hNlo8U+XyeeDyO3++fZrQ+NjYmV0m5XMHX\ndP/+/dhsNu69915uu+02GRjlAtxkMpWU/vbs2cPtt9/OypUr+e53vyv7lna7fVqAORyOEhZoOBxm\naGiISy+9tESDtnnzZimRKH6dUCiE0Wikrq5OOt0sWbKE0dFRaeXlcrmkxZzAxo0bcTqd01iykUiE\npqamklW/6DNGIhH53kdHRwmHQ/z7RePcdEaGdE7hqi9+B/uBUm44HObmm2/mL3/5C5dddhkPPPCA\nXFTkcjlsNhv9/f185StfQa/XS1lIIBAgFArhcDjQ6XRks1mWLVvGOeecw8aNG3nllVekN6cgSGQy\nGZngVVU94C6UJZ1Ol92lzGIC0DsqJt8ovF4v9957L0888QQOh4M77riDm266qYTJ/WbR0dHBo48+\nyiuvvILJZOJ973sf559/PsuW/T/2zjs8inp745/Z3neTTS8QIPSmSPPqRRFBrKioYMECV+QCKhfx\nCooN1Ct2RUGqwA+vXhULIGABRXpRikSBAAlpJJC2yW52s21+f8QZs5kNAqLS3ufhech3Zyezmzlz\nzvec97yng+zUjmVSz9Gg0WgYPXo0Wq2WefPmcdFFF9G9e/eIY/72t79hsVj47rvvZIcpITY2tlHl\nsIZIjRH56pEALRJh0k0h+r9w8lOwDVHzy8B36Rlos9nORNv6TRzVYTZg2a0H7mrw+h8qjXeyEQwG\nqampIRQKIQgCDz74II888sgx1ysluFwuBg8ejMlkYsGCBcet0PHVV18himJE6rExVFVVUVtbS0ZG\nRkTEqlarSU1NJTc3t1ERALfbrWDkQV0Kqz4JCH5lxIZCIblWUVXl4pkb3NzbK0AgpCLY830sST2A\nup1v37592bdvH0888QR33323Ig1VWVnJI488gl6v55lnnmH69OlAXaqstLQUvV5Px44d5eONRiMX\nXngha9askUlb0s5BGsIt6V2azeao0bOEM7W2cqbZZFFRETNmzGD27Nn4fD4efPBBhg8frhg4cCII\nhULMmTOHOXPmYLPZuP/++2nfvj3Nmzc/CVeuhEql4tZbb2X79u0sXLhQ4TA1Gg0tWrSQ9ZDrQ9pp\nH63EApDiCPP5vwK/EHwEBr+poU5n/4+FIAgywedsE1yvj+Nhyd4HvCsIwgJRFF+q/4IgCCtEUex/\nci/t5EGagLFnzx70ej1Dhw5l/PjxJCUlHbd+oyiKjB49mtzcXD766KNGU4KNobKykhkzZtCsWTMy\nMjKOeuy+ffuoqKjAbrdHpa5LvWONOY7q6moyMzMV63l5eYoh1z179iQ1NZW4uDgOHjzIRRddRJ+Y\nz7m3F4TRorr0I/QpV8vtLRMnTmT37t18/PHHtGvXLqqRf/XVV3g8HqZMmSLXLEOhEOXl5QiCIE+U\nqA+bzUYoFJINsrKyEqhjFZeXl6PVahFFkfT0dJmUEQ1ncA2zPk55mwyHw5SXlyt2I7t27eKNN95g\n2bJlhMNhrrzySsaNG0fz5s0pKSmJKi6Qn58fdYh6bm6uoiZXUlLC5MmTOXDgAD179mTIkCGYTCZy\ncnIUEpnSuaO1oZSVlUWt64VCoahpTYPBQN++ffnwww9Zs2aN/HzQarUkJiaSmprK7t27Ixi40lxZ\nQM66WK1WhW0k2cMsf6iGDCdsz1Mz8C0LAUGF2VxXXpJsRUKzZs04cuQIfr+f8847D4PBwIYNG8jI\nyIg6kEGn00UVNADkMlDdlJMz1p5+E8fsMEVR3CIIQg9gjiAIK4FFQGfgb8Cho775T4Kk+pKZmUlO\nTg7V1dU0a9aMtWvX8t133zF+/HhGjBgh77p8Pl9UhqU0xqc+XC4XJpOJuXPn8vHHH/P444+TmZmp\nYOhFIyDk5OTID4xZs2bhdru55ppr5LYPCeXl5TKDtaKigr1798r6q/WNWa/XyzJaoihSXV1NYWEh\nRqNRrmFKZAu1Wh1xjZWVlbhcLpo1axYhxqDT6XjllVcYNGgQarWaVatWcd/zAxFVn+Pv/i5h5+VQ\nW0tZWRnvvfceM2bM4N5776V79+7s3r1bQerYv38/S5cupVmzZrjdbrKysqiursblchEOh3E4HFRW\nVlJQUEBaWpocdefk5GA2m6msrMTj8chyak6nk++//15mMufm5hIIBOQB0/URDoc5fPiw/PnOxJ0m\nnB42KU2z0el0hMNhVq5cyVtvvcV3332HyWTinnvu4d57740oTRiNxqg1SZPJFNVhSvrREr788kte\neOEFQqEQ//rXv7j00kvl1/bv3x9V0Sc7OzvqrjYvLy+q7GJJSUnUPuVAIMCQIUP45JNPWLVqFQ89\n9BBQZ6cmk4nMzEy+/vprWRNZqmFKn7eiogK1Wk1NTY0iEC6pEMktFahwq7j2VT2VNb/abzTpz7px\ne4eora3F5XIRCoWorq6mW7dubN++XcHTUKvVjcoSSnXWhtKbZxuO2WEKgvAMcCt144N2Ao8DK4H+\noiieTBHEE0YoFJKHKwcCAWpqatBoNLz88svceeedil2aRqOJusPU6/WKm8loNPK///2PiRMn0rdv\nX8aOHUtlZaVih2Oz2RRGbbVaiY2NJSsri2+//Zabb76ZhIQERb2yuroah8NBVVUV2dnZWK1WOQVZ\nX4FDYvVCnYG53W4cDgc6nU6uYUpRdFpaWkRatqCgAIDWrVtHOBqVSsUNN9zAXXfdiSlwkDFPziQ1\nNRV/4AiCMRnpW9q4cSOPP/44ffv2ZfLkybJYREOndOjQIcrLy7nlllvk9pXCwkLZID0eD4IgyDMy\npf7RpUuXkpKSQvPmzbHZbPLOoWXLlixdulQWf6+trcXr9UYNeCS9W41Gc0bXWU4Hm4S6AGbRokX8\n5z//4cCBAyQnJ/PUU08xYMCARiUdTwQ1NTW89NJLLF++nI4dOzJo0KCIlP+fhdjYWPr168eyZcu4\n7777ImwjIyNDnnZSX9+5fv9xQ6Q4RDy14PIKDJllQwx6f7N1RBK693g83H333fznP/9BrVbz2muv\nMXXqVKqrqzEajcdcTkpNTaVXr16/qXh2puN49tZ3Uyfq3EEUxduAToAVeEkQBGXY9xdAmlmp0WgY\nMmQI33zzDXv37o0g9JwIvF4v48eP5/7776dXr17MmTPnuNMSHo+Hl19+mbi4OO64446jfoZ9+/ah\n0+kiSAmNQavVRiULSI6mofOWdmzRWjEEYO4oG29du5EWpn11i8ZfezUPHjzIfffdR+vWrZk5c+ZR\n09k7d+5EpVJx3nnnRayHw2GZuCQIQsQDora2loKCgggHf/DgQQBZx1L6PNLfUxr0W5/dZzKZcDgc\nJCQknOnpo7s5xW3S7XZz7bXXcu+992I2m5k1axbbtm3jgQceiLpbPFFs27aNO++8kxUrVjBs2DCm\nTZumCEj/TPTu3Rufz6doSZHux4aOMTs7O6pUYGqMyBf/rmXxv2qxG0V8AeGY+iz9fj+5ubl88cUX\nzJ49m/j4eGJjY5k0aRLZ2dlcdtllUXfajaFly5aoVCrKy8upqqpqlE17puN4apitRFGUE9yiKB4B\nBgiCcB+wEWh3si/ueOFwOJg7dy59+vQ5YYmphsjKyuLuu+/mp59+YvTo0Tz99NONjpJqDOFwmBdf\nfJGioiKef/75o0Z15eXluN1uWrVqpUg1RkNjEwN27dqFIAgRrRkAGzZswG6306pVq8g3iCKq7WNR\nZb+JqNJBODKSDIfDDB8+nFAoxIIFC34zAGnfvj3r16/nv//9L0OHDpUdv+QkRVGUnaeERYsWUVVV\nxSWXXCKvrVu3jjZt2mC1WsnPz+fnn39Go9GQnJxMu3btMJlMivaRM5XwEwWnvE1mZ2eTlJTEtGnT\nuOWWW056AOPxeJg5cyaff/45qampvPnmm8dEpvujIaV3G8pxSqWVhunfXbt2kZmZGVGLrZO7q6VF\ngkiV9/jmWEqCH5JObX3ExsZy1VVXsWrVKhwOxzH9TfR6vRzMSnXMs8TGInA8Ncyo1WBRFGf8Uj/5\ny9G0aVOuuOIKeWJAfURL33k8nqjOxuVyodfrWbBgAU888QQWi4UZM2bQr1+/iEbgwsJCxU2Tm5ur\nqL/MnTuX9evXM2DAADQaDbt27aKoqChiRqV0Pfn5+Wg0Gmpra8nLyyMcDitaZOx2O2VlZXKd0maz\nUVZWRlxcnJxy3bRpE+np6XJaBuqi2tWrV9OjRw9EUfw1vSI5y9wZiCod/h7vEY7vS7XLJX9nb7/9\nNqtXr+app57CYrFEECFKSkoU15iUlMRll13GqlWriI2NpWfPnnK9pv40eZVKhSiK/PjjjyxfvpyL\nLrqIpKQkXC4XFRUVbNiwgbvvvhufz0dOTg4qlUr+fiSjPdNTr43hdLDJxMREPvnkE+Lj4xWklOLi\n4qhktvz8/Khj9xqSe3bu3MnUqVMpKSmhT58+DBw4EL1eLw8xyMnJUdhYQUFBVHJPSUlJ1HWfz8cP\nP/ygWDeZTFFbUWJjY8nJyZHtITs7m2bNmqHX62nevDmFhYXExMTIMp6iKGK1WsnKyqKgoEB2pK3S\nTEwfWESzeJEd+Wpunm7Hj4q4uLioykapqamycw4EAnz//fc899xzUVOooVBIdqgmk0kO4BvyHSRo\ntVqCwSChUIj4+Hi5H/xsxAlpyQqCcBt1A2pD1GXylgD7TuJ1nTCkB2rDdGFjWrDRdnE+n49Ro0ax\ndOlSLr/8cqZNmyZrvdaHyWRSNFIbjcaIVMe6detYuXIlF110EQMHDpR3VJK6SH2UlpZGTBERRTFq\ny0hSUpLch5mXl0fr1q1JSEggPj6e7t27k5eXR2lpKcOHD6dt27Zyamrv3r0UFxfz8MMPR3wXQu4C\nNL84y+CF/0NIvgo1dUQgrVbL7t27mTRpEldeeSW33367wlgSExMVD77zzz+fPn36UFNTw5IlS7jp\nppu4+OKLMZlMbNmyRW7Svvjii2natClr1qzBarUyZcoU7HY74XCYHTt2UFtby5VXXonH48Hr9aJS\nqWQx/EOHDilE289WnKo2mZSUhNPpjErisVgsUYUILBZLVEdqMpmIjY2lpqaG6dOn88knn5CWlsbY\nsWMjshIS9uzZo+jj/OmnnxQtVVDnMOvfS1JAWVhYSHx8PKFQSNZRVavVeDweZZaGulpkWlqa3IIR\nDodJS0tDEAQ50ExJSYlQ+qmtrWXfvn1otdpfAgKRycMKaBYfZttBieBTRwCqqKiIymStH7RK5J9b\nbrklatlEEAQ6d+4M1JEAJfUsQRAaHR2m1WpxOp3Ex8ef1FT66YYTFV+/RBTFwdIPgiC8Bbx3ci7p\nr8WXX37JqFGjOHz4MJMnT2bUqFGoVKpjlryrj7KyMiZNmkRKSgr33HPPb9Yja2pqZBLNbyEQCJCd\nnY3RaFTUalauXIkgCIrWka+++gpA8XARm9xG8NDXiE0HISZfpfhdo0ePxmw2M3Xq1N+8rvpQqVRM\nmDCBm2++mTlz5sh1mzZt2mA2m2XCR05ODuvXr2fcuHHyg1IURebPn4/BYODiiy9m7dq1Eedu3rw5\nPp9P3mnDmcuGPUacsTZZH7m5uTz22GPk5eUxaNAg7r33Xvbu3XtSzh0Oh8nLyyM7O7vR9orU1FRF\nXT4aBEHAaDRGZF5EUWTv3r2KdrJNmzYRDofrOTeBhz+yM6F/BcPm6I9bGzYQCNCuXTvF0Pj6sNls\njc7WbAgpQMjLy6OgoIC4uLgznRvQKE7UYeoFQbgayKduyvvxde6fgqisrGTChAksWLCAVq1asXDh\nwt9dC5k+fTo+n4+RI0f+Zk3V6/USCASw2+2/6VjD4TBbt27F7XbTrVu3iJu3uLiYJUuWcMkll0QI\nMoiiyH//+1+6dOlSR+EXRVR7XiKcMQQMSfi7zolamz1y5AibN29m4sSJJCQkyG0vx4qYmBiGDBnC\nnDlzaN26NS1atMBqtdKuXV15ze/3s27dOlq3bs1tt90mv2/+/Pl8+umnPPXUUxiNRubMmUNsbKzM\n/lWr1TRt2pTY2Fj8fv9ZmyKqhzPOJhti3bp1TJs2DYPBwGuvvcYFF1xwUs4rset//PFHvF4vMTEx\npKeno9FocLlcxMXFoVarKSkpoaCggOTk5N9UIDp06BAejydCl3r79u1kZ2czatSoiGPfeecdbDYb\nKY4wA7vW8uZKHXtLtAycqiwXHQvUajX79+/H5/M1ahcLFy4kEAgcdXiDBIPBQEJCAna7Xe7VPFuD\n0xN1mCOBG4GOQAEw6uiH/zmQ0hvRiDASjbo+XC4XHo+H999/nzlz5nD48GEeeOAB7r77bpxOZ0SD\nc0lJieImKSgoUNRaJBWb7Oxsli1bxjXXXIPX61XUOxo2REt9leFwOGpjdX2UlJTg9XrJzMxEEAS5\ndmG1Wpk+fTpqtZprrrmGI0eOoNfrqamp4YcffuDnn39mypQpeNxu7PueQH1gOsLB9/H1XkeNtzbq\nd/bFF3Xa3RdeeCFut5uysjLF9yCN7Wr43UoR89VXX82WLVvYtWsXJpNJNmJRFNmzZw+1tbU8/vjj\nBAIBAoEA69ev57XXXuP6669nzJgx7N27l6VLl9KkSRM5YpfaSvx+/1lrvA1wStqkNLs1GiOzoKBA\nUfuGOhuqX+8MBoPMnz+fzz77jBYtWnDfffdhMpn4+eefgbpdZ0PtaKizqYbrZWVlctAXDocpKSkh\nLy8Pn8+HwWAgLS1NHkAgyTtKKUuz2Yxer2f79u107dqV3bt3K35nSkoKhw4dYuPGjUCdgtahQ4fQ\n6/UsX74cvV7PgAED5NpiRUUFH330EelOgeUP+cmICyGq9CzdGx+1/tiYKlliYqIc8Gq1WkpKSli3\nbh29e/dWHBsKhXjjjTc477zzZBERqNsVRxNlt1gsxMTE0KxZMxwOx1kdnJ6Qw/yFbLBQ+lkQhEeA\nKSfrok4UgiCg0WhkkeD6kJqn4dfZerNmzeLLL78kGAxy4YUX8u6779KlSxcqKysVN4XValVEY3a7\nXRFpWq1WYmJimDRpEk6nk6FDh7J27VpFk3MgEIhYy8rKQqVSERMTE+F8LBaLXFsRRZEDBw5QXl7O\nNddcQ9euXSPOmZ+fz7Zt23jwwQfp168f8OvYskWLFmE2m7nj9tuJzZ2E9uBMRJWOUMdJaLR6DKKg\nqOeazWY2bNiAzWajZ8+eqNVq4uLiFPUoSfS+PnQ6XUQdatasWVx++eUcPnyYSZMmodfrWb9+PevX\nr+e2227jqqvqUsHZ2dk8+eSTdOjQgXnz5mE2m5kzp273GwgE5IeI3+8nGAwetyzhmYpT1SbVajVW\nqzVq3ctqtUZ1pGazWbar0tJSnn76aXbs2MGll14q67XWx549eyKECyR4PB6FEldRURGxsbG43W6y\ns7PlCT0mk0mundcPgmtrayNsPCEhgfz8fPbt20e3bt1oCJvNRsuWLVmxYgUajYbevXvLpJlFixZx\n3XXXRVzT/PnzcZp8LB8nkBEnsu2giv9bE8JPSdS08JEjR6Ku1x8yL5Hr1q5dS9++fRXHrlq1ip9+\n+kmhjy29tyHqZDKrZPGWszUdC8fXhylDEIQP6v37EPjHSb6uPwwlJSVcc8013HDDDWzcuJERI0aw\nadMmli1bdtLo6MuWLePAgQOMHDnymB7o0viuxoruUOcgJGeZmZmpcJZ+v5/PPvuM9PR0hgwZEvGa\n2+1m0aJF3HDD9cTlPYPhF2cZvPB/UWuW9bFlyxbZWf4exMfHc88991BUVMTrr7/OwYMHmTdvHi1b\ntpSFqAsKChg0aBBarZYFCxZgNpvZv38/77zzjoLI5fV68fl8Z7Xx1sfpbJONYdeuXQwbNow9e/bw\nxBNPcMsttxxTq9XRIIoiBQUF7Ny5k1AoROvWrenUqRNarfY3SyFQl56MjY2ltLT0qLMrf/75ZzIz\nM+Xr/eabbygvL+fOO++Uj/H5fCx+fxobJutpkVDnLAe8bvrd8ywFQeCCCy5gxYoViueJKIq88sor\nJCUlHdN3qVarcTqdcr2z4UD5sw0nmpKtEkVRNkhBEKafpOv5Q7Fx40buvPNOKisref3117nuuuuO\nq3n3WCCKIsuXL6d169b87W9/O6b3SKy1bdu2UVRURExMDBaLRW4JqaiokNmyaWlpUTVov/zyS8rK\nypg5c6Yialy8eDFut5uhtw9AU/wwonBszhLqZuo1bAc4UbRt25ahQ4cyd+5cdu7cicVi4Z///Kc8\njHbAgAGUlZWxaNEi0tPTqamp4fbbb0er1UbUgFWqOnp9tF0FnDU6sg1xWtpkY/j222+ZNGkS8fHx\nvPrqqzRv3pydO3f+rnOGQiF5apHT6aRFixbH3VMNdTvj8vJyKioqoo4E27FjB5s3b5YHRRcUFPD8\n88/Ttm1buS+yurqam266iSR1NukOTpqzlJCVlUVNTQ1Dhgxh3rx58jPhxRdfZOXKlej1+mPqVY+P\njyc5OZmUlBRSUlL+UjGIUwEn6jCfbfDzY7/3Qk4GpN6m6urqiLShKIq89dZbPPvss6SmprJkyRLa\ntWsn6zY2xJEjRxSRlFTEr49oNcyNGzeSm5vL4MGDZV3XkpISRW3A4/FE/A6NRoPdbqempiZiRibU\npZOdTidWqxWdTkcwGIwg3+Tm5rJ161Z69uxJq1atFL1U7767kGbNmtKxa29cvk8Ju37GGN8P6tVI\npJ6w+pDE2xctWoTb7UYQBKqqqqIe19D4ampqFGtut5suXbqg0+koKCigefPm6PV63G43L730Ejk5\nOSxevJjOnTvj8/kYOnQoP/zwA8nJyVitVtRqtTxfUVJFiTbd4QyehXk0nJI2ebwQRZHPPvuMBQsW\n0L59e55//vmTEtT6/X6++OILXC4XaWlppKenH9OOMhqk50C0wDUUCvHcc8+RmJjIPffcg9vt5l//\n+hdQJ8yh0WgoKytjwHXX8P0P24mPT2LIzEpW79acNGcJdc8Ms9nMhx9+SFVVFR988AFfffUVjz32\nGLfccgvLly//zXOo1WpiYmLIzMykVatWtGzZEr/fH1WO8mzBidYwcxr8rKwU/wWQ5rUZjUb5Ye31\nennwwQd577336NevHzNmzJANMBgMRu0Pa6xe2XBHU15eroi4du7cicFgYMCAAXI69qefflIIOOfl\n5Sl0NLVaLU2bNuXAgQPyEGu73U7Pnj0jjguFQvTq1QuoIw28++67NGvWTJ72EPF7Dh5kYMZaLh7c\nGYvZBJY2BB2ZinSM0WhUrNlsNjp27Mi8efPkB40kIt3wvVarlWAwyL59+wiFQtTW1lJRUYEoitjt\ndpo2bUq/fv0wGAxcfvnliu9ixIgR3HnnnVxxxRWIosiDDz7I4sWLZYcqOexwOEw4HJbFC6I99M7g\nWZiN4lS1yUAgQEFBQdR+4oMHD0YQ3EKhELNmzWLZsmV07dqVoUOHUlxcLBN3Dh48GHWKSVFRUVT2\ndkVFBWVlZfj9frKysnC73TidTgRBkAU+JITD4QhREgk6nU4RgEoa0h6PR/G5ioqK2L9/P88//zzh\ncJjx48eTl5cn75IPHz7MHTdeyqyB+3nW5KQw2IIvfqpri6nPubPb7VElL202W1RZutjYWEU2pUWL\nFuzevZuvvvqK1NRU3G43Xbt2JS8vL+pzD4j4DhwOBy1atKC8vJz8/Pyjsm7PFhyP+PrYKMsu4HtR\nFLdHee13QxCE/sDrgBqYLYri88fz/lAoxO23387XX3/NuHHjmDBhwh+eotu5cyddu3Y9YTKKIAgR\nOq9HY8z6fD5eeOEFvF4v48aNU9YkRJHq1f/gwf4QFn4i4NqJ6PjtHrL66NChAwDvvvsuI0eOjHpM\neXk5s2fPZvbs2eTn50c95sEHH+Suu+5SrNfW1jJhwgS0Wi1PP/00oijy2GOPMWPGDHQ6XdS0USgU\nkudpRtthni2yXaeDTarVamw2W9Q2DEmdCuoC2yeffFImqkj9z/Vx4MCBqCnBH3/8Mer6tm3bMBgM\n7Ny5k0AgQKdOndi/f39UYks0ZSGoK0nUFxgJBoOUlpbSpEkTBQO1tLSUxYsXc+2113LfffcxceJE\nNm7cyCuvvMIdd9yBVqtl7puTmDV4H5mJ8GDvCga+vS8qU1gS52gIKRhtCGkqSX0cOHBAbrlyu92Y\nzWb27duH2WyOGhzUh16vp0WLFuh0OqqqquQU9NmO49lhdv3l35Jffr6GugkJIwRB+FAUxRdO5oUJ\ngqAG3gL6UkeT3yIIwmJRFH86lvdXVVUxcuRIvvrqK15//XVuvvnmP6WeFRcXp9CP/CNQVFTEc889\nx8GDBxk7dixNmzaNLPCLIpXfDOWKjN0EwirEi94/bmcJ0L17d/r06cNzzz3HCy+8wAUXXMDll18u\ns/9mzZrFRx99hM/n45JLLmHChAlYLBb8fr/cprJ8+XJef/11Nm3axGuvvSbv1EOhEA8//DBbt27l\n//7v/0hKSmLMmDG8/fbbR51AL7Ghy8vLSUhIOCucYyM4rWyyMdTW1jJ27Fh+/PFHHnroIVno+/ci\nGAyybds21Go1Xbp0wWq1ysMHThSS02ioBev3+1mwYAFqtZrnn3+ejz/+mLfeeovhw4dzzz33IIoi\n67/+gNsSZ9EiAbbnqbj1bTN/xvBnnU4n29yxpqHj4uJISkoiJSUFrVZL165dSUlJOat7MOH4HGYa\n0EUURTeAIAhPAp8DvYDvgZNqnEB3YJ8oigd++X3vAwOARo1TInts3bqVBx54gJycHJ588kkGDRpE\neXm5gjFWVlYWtddJkqirj5KSv4UseAAAIABJREFUEsVafSq3hNTUVNavXy8Pq4Y6I2v4Xq/Xq+gR\n8/v9CmcbDocVaajCwkKmTp2KSqXioYceolOnTnLNU7oe4+7H6aD5Gn9QwNvt/1DF9YVfHJDf71eQ\nHaJFrVI/64IFC9i8eTPffPMNK1eu5Nlnn+XZZ+tKZgaDgeuvv57Ro0fLYgRQV6+UDOuqq66ie/fu\njBs3joEDB/Lqq6/SqlUrpkyZwhdffMG4ceO48cYbue+++1iwYAEJCQm0bduWrKysiOuRjF2v19Oy\nZUuSkpLO9hTRKW+TvwWfz8f48ePZsWMHTz31FP369fvd5B4Jkn2ff/75J+Uh73a7ZUnH+m0yoVCI\nefPmkZOTw4gRIwgGg4wZM4Zu3brxzDPPALBs0Vx6VI+jRWIdwef6Nyy4vAJ/VlfU8dZrRVGkoqIC\nvV5PRkYGLVu2JCEh4Wy3t+NymAlA/adqAEgURdErCILyafv7kUqdaomEAqBHw4MEQRgODAdIT09n\n6dKljBo1CqvVyuLFi7n44ouButx/wz92IBCIakhOp1PRN+bz+RQ1TEkFpD66du3K2rVrCQaD8ozH\n8vJyRT+YJMZcH/n5+bIosoTS0lJZ9zEUCrFw4UKWL19O+/btef311yPOGwgESExMJBgM8vKH23ns\nMijMeImMFjdFnFOj0USd99lwTZLPAujXrx/9+vXD5/NRXV3NN998g8vlYuDAgVitVkUKuqFO7z//\n+U/atm3L3XffzV133UWrVq3YsWMHo0eP5vHHH2fevHksWLAAg8FAIBBg7969UdNkBoOBdu3acdFF\nF53Vke4vOOVtMjExkfz8/Ki9g9nZ2bzzzjvs3r2bYcOGkZGRwd69e8nPz4/KzD506FDUtGBFRYUi\nxRgKhSgrK5OHkUvnk4iBxwO3201tbS1HjhxBq9XKdUS3240oinz66afs3LmTa6+9lrZt2/KPf9SR\nlWfOnIlGo2Hq1KlMfvoJvn7aiSffxW2znQQEFSZTHSkt2ndjMBgUQba0Hq2GGU2xx+FwRD3WZrNF\nTQNH+10ZGRk4nU6MRiNVVVUYDIaziXmuwPE4zHeBTYIgfEZdHuEa4L+CIJj5HRHm74UoijOBmQAd\nOnQQhw0bRteuXVm4cGHUSel/NKTeq9mzZ/PII49ETJL/PThw4AAzZswgKyuLPn368PLLLyvre6KI\nyrWTfz89j7kL99Lukle4stOd0U/4OxAfH88tt9wi/9xY6rQhunbtyurVq7nzzjvZsGEDAwcO5Jln\nniE3N5dHHnmEPn368MMPPzQaDWdkZBATE0NiYiIej4cjR46g0WjOZsd5WthkTEyMQrjD7XYza9Ys\n9u/fz8MPP8xll10mv1ZYWBh1sHROTo4i8IQ6x9swRbpnzx5CoRCpqakR94cgCFEnFEmOsCFSUlJI\nS0tjyZIlWCwWBg4cKAuW3Hzzzbz00kts2rSJESNG8PDDD/Paa6+xZcsWFi5cSIcOHXjm0RG89fYc\nBtxwE9c+vxSzXovL+2sgWFNTE9WB+/3+qHYVDoej9mqXlpYqji8sLIzaN+l2uxvVypWQkZHBBRdc\ngNFopKysjO3bt5ORkYFKpfpLnqunCo5nvNdkQRCWAxf9sjRCFMWtv/z/9pN+ZVAI1FcPTvtl7agQ\nRZFBgwb9ZX9Uo9HIxIkTefnllxk5ciR9+/alTZs2UQ39WJCXl8enn37Kli1bMJlMjB07lh49ekR1\nlsmHXsD843tU/hhmzJgxXHvz0EYnpLvdbhYvXkybNm3+1PmBiYmJLFmyJKLGOWrUKARBYOvWrY0K\nJBgMBjp37izvJCTHeTaniE4Xm2wIn8/HAw88wP79+xk/frzM+D5ZCIfD/PTTT3Jrxe9BWVkZW7du\nJTY2lhtuuCHifG+//TbTp09n8ODBjBs3jnXr1vHmm29y5513ctNNN3H/sBt4qPNSbpoocPvcdQTD\nKlzHt7n9S6BWqzEYDJhMJmprazEajbRu3ZrU1NRzfZjHeXwACAPiL///I7EFaCkIQjPqjHIwcNvR\n3iClCgoLCxV078rKSkV6Qmp7aIjy8nLFsfWnYvzWWnp6OpMmTeLzzz9n5cqVfP3113Tr1o2///3v\ncrTrdrsV8/c8Hg+HDx8mHA6Tk5PD6tWrycnJwWw2c+ONN9K3b1/MZjPV1dWR6UpRJL30VeIq36c2\nCO07ns+o8eNl+bj613jgwAGmTZvGwoULZb3XyZMnR2XARksJRat/BgIBRW9WMBhk//79/N///R/b\nt2/noYce4vzzzwfq/k6Ss5w+fTpr165VaFQ2TP3odLqI8V6ShuyJ9tKdQTilbTIa1q1bx65duxg+\nfPhJd5YSvF7v71IFkjSdPR4PKSkpXHfddRE709WrV7Ny5UquvfZaJk2axBdffMHYsWNp3rw5b7zx\nBi9NGsNDnZeSmQQ78lWExdMnjRkTE0O7du1Qq9V4vV5MJhNer5eEhIQTEno4k3A8bSUPAvcCi6hL\n/ywUBGGmKIrHN/PpGCGKYlAQhNHAF9RR2OeKoph1tPdI6TmPx6OILMPhsGI3Eg6Ho6bzQqGQoiYQ\nCoUUDdThcFhBlxcEQaahX3jhhRQXF/PKK6+wZs0atm/fziWXXEJcXByhUAidTofD4cDn81FUVER2\ndjbr168nNzcXr9eL0+lk2LBhjBo1KuLz1NTU/DrTTxQx75mI8RdnOeK/8Tz7zlJZxzUcDqPValm9\nejUvv/wyy5cvR61Wo1KpsNlsXH755Tz66KOsXbuWOXPmRESQgiBEnSva8EEkzc2EOnr+e++9x/z5\n89m0aZOsP9u/f39GjhzJc889J/8d9uzZw9NPP82VV17JN998E0E8UqlU8s9ms5mEhAR5Mon0d3C7\n3Wf1bL7TwSajYf/+/bJ82x8BlUpFt27d2LhxI8XFxcc9M9Xv91NeXk4wGCQ5OZmBAwfKdiCKIhs3\nbmTTpk0MGDCAF154gQULFvDss89y3nnnMXPmTLavX8og59u/OEs1A9+qG/58usDhcKDT6WjTpo1M\ndqysrOTw4cNRU+VnE44nXBgG9BBF0QMgCMIUYAPwhxgngCiKy4Blx/OeZs2a8e6772K32xk1alSj\n8ml/FpKSkvjHP/7BPffcw/z589m8eTMul6vRwn3Lli25+uqradOmDb1795bFoRuDruRTjHkz8QcF\nBr+pZtyrnyic+KpVq+jfvz9xcXGYTCaSk5NlEsTq1asxm818/fXXtG/fnieeeILhw4cfd3QeCASY\nNWsWkyZNorS0lPbt28sCEn6/H71ez7Rp01izZg0ffPABTZo04Z577sFoNPLzzz8fdaeo0+lQqVQE\ng0FiY2NJSUlR1MTOUpzyNun3+ykqKoqopf34448kJSVRWloatR53+PDhqKzt8vLyqOvSrMb60Ol0\nmEwmDh06RDgclneH0kSjhhAEAZfLhc/nIxAIIAgCVquV1NTUCFHz77//nh07dtCpUyeef/553n77\nbV599VX69evHSy+9VDfTdvNQMlvCzgItd8xNJCCosFmtUXsf9Xp91DqjWq2OWk5pbIcn9STXh9Fo\njPqcMRgMjWrCSgMOWrduTatWrTAYDJSWlsrf59mO43GYAnXT3CVIk91PKSxYsIAnnniCF198kZkz\nZzJ8+HBuvPHGqFPW/0w0adKExx9/HKjb9e3cuROr1UpFRQUGg4HExES8Xm+EaAHwm4y+g+Hu7Npq\n54N1Hm4YPUcRtR86dIg77riD1q1bU1paisViiXCG0qDbxMREMjIyGDNmDFOnTmXcuHEMHjz4N41E\n0s599NFH2b17N5deeik7d+5UTBIxm80kJSVRUFDAhRdeyGWXXSbXhho+BCQHWVtbK+vI2u12DAYD\nwWBQluw6i8k+Ek55m9RqtSQmJkaQcg4dOkSrVq3kPr+GcLlcUYcfl5eXN7oezb6rqqrIzs6msrKS\nv//97+j1evLy8iLO4fV6yc/PJz8/n9raWiwWC926deO8887DZDJhNpu57rrrCIVCvP766+zYsYMb\nb7yRxx57jCVLlvDqq69y66238s4776BSqbj++uvJ2QlTBqv453wtlTUV8rVEI9pIDrohGpZS6h/f\nmPBCw+BD2iUf6++U0LlzZ1JSUmQt5iZNmpCZmXlWZ3MkHI/DfIc6Rt4n1Bnl9cDcP+SqThDhcJi0\ntDReffVVxowZw4svvij/S09Pp3///vTr14/u3buj0Wiorq6OSpGurq4+6nxHCZWVlYr3u1wuxe5M\nGotTH5JkXP0RWNXV1YooVJKFqw9vTQ26vS+w3dWRISMmUlYW5J13/kvXrl0jjCYYDHLXXXfhdrsx\nGo3ybjspKUnhiJs1a0ZBQQFpaWk4HA7++c9/MnnyZMaMGcPQoUPlXW4wGJQ/865duxg/fjwrV64k\nMzOT5ORkCgoKcDqdxMXFKa67RYsWFBQUYDAY+Pjjj3E4HLJh1q/nxsTE4HQ6KSsro7q6Wk61B4NB\nQqEQWq0Wo9F4VtPbf8Epb5MNEQqFKCgoUMg9/hGQBAvWrVvHN998g1qtJhwOs2/fPjkgkxyK0+nk\nyiuvpHnz5or7qqKigscee4xNmzYxaNAgxo0bx5w5c5g2bRo333wzc+fOReUrYvXcu1i+fA1arY5b\np5+eY+fi4uJo0qQJNptN3olL4uvn7O34WLKvCILwLb8y8u76o+S3ThQqlQqTyYQgCCQmJvLhhx9y\n6NAhli9fzuLFi5k/fz6zZs2SKeEDBgwgLS1NcSNI56kPaa5fw+MaRl16vV6REnU4HAp2WUpKSoTk\nFtQ54Ib0eLfbHfleUUS36xGsRXNJPAShYCLLly/nggsuIBQKRbBnJ0+ezLp16zCZTBGO2OfzKfrc\nRFGUiUQHDhzAarWSmZnJv//9b6ZMmUL//v1lUXOXy0V1dTXZ2dnY7XacTieHDx9GEAQ5io7m/Pfs\n2SOLvEtDeouKitBoNBEO3GAw0Lx5cwRBIBgMotfriYuLQ6/XYzAYcLvdjbJ/zyacDjbZEJITW7p0\nKV26dPnDa2I2m41u3bpRUlIiz7o0Go3yzEhp3qxGoyEzM1Px/vz8fG6//XYqKyt5/PHHueKKK5g4\ncSJffPEFt912G7Nnz0bwFlLxcRcuT6xi4o16Xl7++0bh/ZVIT0+nU6dOclbHYrGcmzlbD7/pMAVB\nqKaOgScv1XtNFEXxlN6nJycnM3ToUAYPHkwoFGLVqlV8/PHHzJs3jxkzZpCQkCA35ffq1esvr3ke\nFaJIzdrhOGs+oTYAH+zrwYaNHyqmsNfU1DB27FjmzJmDw+E4biapNBGkuLgYh8NBz549+e6777DZ\nbFitVnbs2CEzXVUqFQ6H47jkAAVBaHS0kKRhKQ0CT0hIwGazkZCQQGJiIgcPHqSqquqkjRw7HXG6\n2+Sjjz7KHXfcwdy5c3n11Vf/8J1LXFycHHQ2TMlKaMgIF0WRbdu28e2335KcnMzcuXNxOp3cd999\n/PTTT9x///28/PLLBKtyKV90PskWD9sOqli6OxlBUArEny7Q6XTk5OTINmoymSgtLcXhcJxLyXIM\nDlMURaWExGkKq9XKgAEDGDBgABUVFSxevJhvvvmGJUuWsHDhQlQqFZ07d+bCCy+kT58+9OzZ85SJ\nrlyVleR+fD2Xpe6iNgjf8SBjX3pW4QyzsrK49dZb2b17NxaLhaSkJEX7yvFAp9OxZcsWoG7sWTgc\nPukzROsjNTWV+Ph4jEYjLpeL0tJS7HY7SUlJqFQqmTH7V9ek/0qcTjYZCAQoKSlRZATuvvtupk2b\nxrx58+jbt2/Ea42RgaK1hkEd6aewUNkO6vf7KSsri1gLBoNRgy2dTidnWAKBAKtXr2b//v1kZmby\n9ttvk5uby5AhQ3C73UyZMoXevXsTqj6I6xdnuSNfw/D3m6IxxaLTKQcm6PX6qHyE4w0WGgt+1Wq1\norap1Wqj1js1Gk2jNczKykpZqL5NmzaUl5c3Kkx/NuKMaqoRRRG/34/X61XcWD6fL6IGaTKZuOqq\nq7j55psJBoNs3bqVNWvWsGbNGmbOnMm0adPQ6/VceOGFXH755XTr1o02bdpEnNPtdivqmtFmQ0o1\nxIbHNUz7ut1uRdq3rKyMefPm8d9501gxtopAWEVRi9fp2ekuxcPjvffe41//+hdWq5W0tDTZuTS8\n4WNiYhTGa7fbFQ+p+Ph4xVpiYqKCZRgXF6c4n81mUzDxGotQdTqd/BDTaDTo9XpiYmKorKyksLAQ\nrVZLbGwsVVVVOBwOWrVqFfXBeQ6nHnQ6Henp6YpSw9ChQ9m0aROfffYZ/fr1o1WrVvJrgUAgakAU\nDAajDmzWarU0a9ZMsR4XF6eQnzx06BAdO3ZUHBsIBOjRowcrVqxgxowZFBUVMXr0aO666y7WrFnD\nv//9b9LT01m2bBmdOnUiFAox++lr+WcHDz/kCtww1UhlzRF0OlfUUWZer7dRJ3U893JjpYja2lqF\nc6ypqYl67kAgEDUgMRgMGI1GmjVrRmpqKjqdjqSkpKiyomcrziiHqVKpZDJIw0Z6tVqtcGRqtVo+\n7vLLL5fnNB45coRt27axatUqVqxYwcSJEwFo164d/fv3p0+fPnTp0oW0tDSFIzQajQr2ptlsVjhC\nKb1ZHzExMbJTqa2tZfbs2bz66itUlJfR/8qr8f5tJGI6JDgvifgs0rSHmTNn0qtXL7Zv305tba1c\nR2w4Iszn8ymMOhwOKxxcKBRSHFdbW6uoTdbU1CicstfrVbACDx06FFUMQWoZgboI2m63YzabcTqd\nxMfHk5qaSqdOnfB6vXi9XqxW61mvOHK6QxAE7r33XiZMmMCIESPo168ft912W1SH+GcgNzeX6dOn\nk5WVRatWrZg+fTodO3Zk0qRJLFmyhKuvvpq5c+ficDgoLz3M3UP/wRdfrOTrrhq2FRhP6vDnvwpW\nq5XY2Fji4uLkQRYWi+UcG70eziiHebJgsVjo27cvffv25T//+Q/79u1j8eLFfP3117zxxhu88sor\nqNVq2rRpQ48ePejSpQsdOnSgadOmjUq7HQv8fj9bt25l48aNLFiwgL179/LRhFR6dbsU6xXvg0pD\nGKBedFhQUMCgQYPYvHkzsbGxcn3xdIRWqyU+Pp6mTZvK0nfJycno9XpKS0tp06YNhYWFWK1WfD7f\nWT35/UyAw+Fgzpw5vPfee3z22WesWLGCXr160aNHjz8t5e5yufjkk0/YsGEDTqeTp59+mquuuoqy\nsjLuvfdesrKyeOKJJ+RZullbvsC8eSDmChGDwcCqPdozQm1Ko9GQkJCA1WolFAphsVjO7Sqj4JzD\nPAZkZmYyYsQIxowZQ2VlJZs2bWLz5s1s3LiRDz/8kLlzf2Xy22w2MjIyaNKkCfHx8ZhMJrlv0Gw2\no9Pp5OhN+n9xcTGbNm1i27Zt8i6vTZvW7H3vSlqGlyPWHsFfuR0xtqv8e0RR5LPPPmPUqFHU1NQQ\nExNDQkKCYmTY6QStVit/Nw6Hg3379pGZmSmrN+Xm5lJRUUFNTU1U4sY5nHqQBi5HcyqlpaUkJCRw\n8803069fP5YvX86KFStYvXo1bdu25YorrqBNmzbyeysrK6MGSVVVVVHve4/HoyCjeb1emTS2ZcsW\nVq9eTTAYpHfv3jz++OOYzWZ27NjB+PHj8Xg8TJkyhTFjxgDw4fxX6ekeT4tEePwmE2tyjIhi5OeS\nWNwNcTxBrFarJRQKodFoGu3HPBYIghD1e29sraqqCr/fT3V1Nbm5uXTo0OG0Db7/KJxRDlMURUKh\nEIFAQPGH9vv9irXa2tqoN0Rj8yKlfsA+ffrQp08fXC4XBoOB/fv3s2fPHvLy8sjOzqa4uJg9e/aw\nfv16OY14NGg0Gjp06MDgwYPp1asX3bt1o3nlVIx5MxEFHbXd/kvIfr68s8zJyWHChAksXbqUTp06\nyXXT+Ph4RbrUZrMpUqPRRgeZzWZFDcRutyvWHA6HohZjt9sVdU2j0ahI8UabEgHImpUGg0EmJBw5\ncoSysjKcTidqtRqn04nVakWtVssN1edw6kOn09GiRYuoKXStVhvRWtWjRw/GjRvHzJkzWbp0Ka+9\n9hqtW7emT58+/P3vf6dr165Rd57x8fFRU7l5eXkRQiA+n4+vvvpK3lGKokjv3r2ZMGGCnNWYPHky\n06ZNIz09nRUrVtC+fXs0Gg0vPv0gA+1v0iKpbp7lLW8bqapSOkaPxxO17ADHXqsMBoPyVBWHw8Hh\nw4dlW4pG4gGi1iSPJk5Q/zxSacpsNtO0aVO0Wi2HDh0iISHhrJfCa4gzymEKgiCrxDRMjarVaoUT\njLYmrTcUH6hf75Qg6ap27dqVrl3rdn/RUoVer1euB0rOPBQKyW0ZZrMZo9FIIBBAr9ej3jkBdd5M\nRJUOf4/30KRfh4Y6o3jzzTd58sknEcW6lNDBgwfliNHlcinqlR6PR+Ewo40OKi8vV6yVlJQoHGEg\nEFCcz+fzKYICn88nS+JptVrcbjculyuqYUvX37RpUzp27EhCQgKpqalyL6akFtOmTRt5x3AuXXRm\nwmKxcMMNN/CPf/yDZcuW8cknnzBt2jSmTZtGQkICXbt2pUOHDrRo0UImpDSGUChEcXExxcXFfPvt\nt3z99deyDvPIkSO54YYbZEf77bff8uSTT1JcXMywYcOYPHkyMTExeDwext1/J2PafkhmkjT82Yw3\ndHICNpVKJZcYjEYjwWCQYDCIxWKRba2+xKTX60WtVke1oxOFwWAgPj6eVq1akZqaSsuWLdHr9YTD\nYcLh8LngtB7OKId5qkIiI9UvnkvOJBrCCb1RHZhNsMd8wglXoAZ++OEHRo4cyffff8+VV17J2rVr\nT/kank6nkz+jTqf7zVpPZmYmqampNG3alNjY2AjpwHbt2lFTU0Npaam8ez1HRjhzodPpuP7667n+\n+us5fPgwa9eu5csvv2Tt2rUsW/arlK1Wq8Vut5OYmEhcXBxqtZqSkhIOHz5MaWmpvJPSarVcdtll\n9OrVi4EDB8pOwO/38+KLLzJ//nzat2/PBx98QLdu3QD4+eefuf3229mz+ycu/KeK6lq4/g0zlTUC\njZjucUGv15OUlCT3OlosFmpraxEEgZiYGI4cOUJtbS0GgwGtViszbS0WC16vN6om7olAYs16vV7C\n4TA6nY6UlJQI4s851OGcwzxVIIqoKrZA0sWISf0IXLUXdDFUVVTw7LPP8tZbbxEXF4fdbmf//v2/\ni1z0Z0GalCJNhVGr1Y320qnVanbv3k3Hjh3R6XRkZGRgsVhk5p7P5yMcDmM0GrFared2mGcREhIS\nuPHGG+nYsSMpKSnk5+dz8OBBiouLKSsr48CBA/h8Pvbt20cwGCQhIYFOnTphMBho27YtiYmJZGZm\nYrfbI+Qw9+3bx9ixY9m9ezdDhgxh6tSpctlgwYIFvPDUA5hMJvQGE6MXqjHrodp3cgg+UqpTr9dj\ns9kIBoNy+4bBYJCdVF5eHrW1tdjtdlQqFX6/n1AoJM+qPBlISEggOTmZ2NhYzGYzJpMJi8USVfHs\nbMcZ5TCzsrLo1q2bPDhW2tWlpKSQmJhIenq6/H+DwYAgCJhMJrRaLTqdTnZCksB3fURbi1Yrbax+\nGu29cjpYFNHt+jf6A28TuGAmoSa3I6qsfPrRR4wbN47i4mJsNhsWiwW73R5VpxXqaOHR6pVS1Fo/\n2m6Y0pEcW33odDrFcVLaqOFaw7qN9Nk0Go3s7KQ0csPaptRKkpSUhCAIlJaWUlNTQ2xsLElJSbjd\nbqqqqmQZs3M4fRAKhaLqK0PjJJ7Kysqo2RdJk9lqtdKhQwc6dOgA1NX0ow1oLy4ujujD9Hg81NbW\nsmfPHmbOnMnnn3+O3W5n2rRpXHrppej1esrLy3nooYf47ov32PiMAVH0cNUrJopdamrDIF2u0WiM\n2m+pVqsbrWFKr2s0GlnGMhgMUl1dTUxMDHa7XeYISJyLUCgkt3JJKWJpJyjZtFarxWq1yr+3sf7L\naHA6nSQnJ5OZmUnnzp257rrrSExMlB3mOUTijHKYfr+fn376CY1GQ+fOnSkvL8flclFUVPSb0Zgg\nCCQnJ5Oenk56ejpNmzYlISEBp9OJVquVp5BrtVpatWpFZmamPFeyPqLVTzUajaJWqtVq69ZEEdX2\nsagOTEdU6RD0cWzYsIGXXnqJ5cuX07lzZ1wuF6IoyvW7qqqqqOob0eqVtbW1itqkFEG63W75Nbfb\nrTCyUCikcJhSjaU+/H6/4iGhVqtJT09Ho9GQn58vG7dE2rFareTn50d8R23atOH8889HFEXC4TBu\ntxuTySRHuSaTSdazlXRAz+HUhlarpXnz5hFDBiTUHwhQH2azWaHHDHWEs2hj3ZKTkxW6zFB3T9cX\nTMjKymLGjBl8/vnnmEwmxowZw9ixY0lISEAURRYvXszo0aPRh46weiKk2X3syFdzpNxDdYM+y5qa\nmkbHhDXmrHQ6HU6nE7/fL2dfzj//fMLhMDabDbfbjV6vl1OzEsehsrJSdqZ6vZ4DBw4QCoVkhyqp\nCIVCIdmR1g+QG0KtVsucCel3eDwebDabvMmQnmsSyzkuLu6sHx4NZ5jDVKvV2Gw2nE4n2dnZ8rrF\nYiEtLY3y8nJCoRCiKCKKIiaTSY4SRVGkvLycNm3asH37dpYsWUIgEGj05o+NjaVbt2706NGDHj16\n0L179+OXjJOcZfabhNDw8oaePD9yKBUVFXLDsNvtPuk3qt/vx2KxyG0tGo0GQRB+d4rHYDDITOXm\nzZvTqlUrDh48iEajwWw2k5aWJg+iNRqNJCcny58vLS0Nu90uN07bbDYqKytxu90kJCTIzrG+8zyH\nczgW1NTUMGXKFGbOnInZbOaRRx7hgQcekJm7lZWV3H///fzvf//jir+3560bD9MioY7gc/N0O5U1\nyp3k8UJyUhLJT2Kzp6eny3rMBQUF8lB6r9eLy+Wiffv2FBYWYjab0ev1qFSqCDa8NACiurpaHocn\nCII81UcKhFUqlfwsk4b28WAHAAAgAElEQVQYSMfW1NTIes1S0C3ZW2lpKUVFRUDdlKOzHWeUw2wM\ngiDIu7z6zic2NlYRhf3444/Ex8fLLRXSP4fDQUVFBaIoEgwGqampIT8/ny+//FI+R7t27ejRowd/\n+9vf6NmzJ06nkyNHjlBSUkJ5eTmlpaUcPnyYw4cPU1JSQhvzbp678mdqA3Dja0E25Wfh9Xqx2+0y\n2/f3NEWr1WrZOCVj0Wg0MjkiGAzKzlKKTAE5ApYYqkejp9eHTqeTW3XC4TBVVVWIokiTJk1IS0vj\n/PPPZ/PmzfJ3IF1PbGwsGRkZdOrUCYfDQdOmTVGpVPh8Pvm7lgz43M7yHI4FoiiSlZXFa6+9xief\nfEJFRQV33XUX48ePj2g1+fbbbxk2bBhFRUXodDr+ddFuWiSIbDuoYsDrppPChhUEAZvNht1uR6PR\nyCUao9HI4cOHZeau1WrF7XaTlZWFz+eTlb86depEMBikqqqKYDBIeno6hw4dIjY2lkAgIE/+keTx\npDYto9GI2WzG5XJhNpsJh8NyX6fVasVoNKLRaOS5n1JGraqqSm7xkoKKc8padTijHKZE0Y6Pj1fs\nlhITExUP/sTExKj1hoSEBMX7MzIyFOnXtLQ0/H4/Pp8Pn89HkyZN+PTTT3nnnXeOep0xMTHEx8dT\nmpjAa19q2XTAQFZFLF26tOLAgQMRxzqdTkX6NZpOKyint0sjjOx2O4IgYLFYZAflcrmw2Wyo1Wqq\nqqpkw5Emz1dWVspGI6V5BUGQZwrCr+lnURQjJpBI5/J4PMTGxtK+fXvatGlDcXExJpOJzMxMqqqq\nyMvLk9NCUh1Zr9dTU1ODSqUiLi4On893bjd5GkNKrUerYbrd7qg1TCk12RAejyfqvVA/PXr48GGW\nLFnCJ598wv79+9Hr9fTv35977rmH7t27yxmmsrIynn32WaZNm0ZmZiatW7emuLiYh/4XpiZQw0Pv\nm/AEVJjNxqh91JLja4hoAa4oinJdUppFGxsbS5MmTThy5AhVVVXY7XZatGjBzp075UBRmv8qlWQs\nFovsJLVaLR6Ph+rqaoLBICaTSd7BarVaOQCQvt+UlBQ8Hg8VFRWEQiHi4uKIiYlBo9EQDodxuVzk\n5+fL2tMqlYqkpCQ0Gs25nWU9nFEOMxgMUlZWJuuo1kcgEFCsRTuusXVJAaPhWv2+x40bNxITEyPv\nQiVHItUn6naM8MhVXr7KruGHXVns2iXtlqrYvXu3YpJCdXV1VJ3WaEYcbZK6xMKDugeOx+ORyRNJ\nSUmEQqGIiQ4mk4nq6mrMZrNssFLaVhq6K+08JWPzeDzodDosFgtOpxOHwyEzEgHOO+88BEGgoKBA\nnu9ZUVEhX6tKpeLQoUMUFxfTtGlTHA6H7MQTEhLOkQ9OY/z888/ccccdxMfHy+n25ORkUlNT5Qd2\ncnJyRNbAbDbLA8vrQ5rPWB/FxcUcOHCATz/9lM2bN7N582bC4TA9evTggQce4Lbbbosolbjdbl54\n4QVefPFFeXiCWJPPvZeLTHg/TLZbYPBUgLogUeonbgiJrRoNDbNWNptNJvpUV1fLggT1e7ElMmKL\nFi3k89afQCJN65F4B7GxsdjtdgoLC+X2j1AoJLdixcfHy85SUhkzmUyyxrPEO5AC02AwiMfjQavV\nkpSUdG5H2QjOKId5KqB++leCyWT6Zecn8tzAGu67tJbbKorp9rQFf/Dk6lAajUa5NqnVamnbti0O\nh4ODBw+iVqvllKnD4aBDhw4y+7eiokLeLVutViwWC+FwWBY0kIbuSpCMUYp8VSqV3FfWtm1biouL\nKSwsxOfzsXLlSmJiYggEAjRp0gS32y1T5x0OB8nJyfJDzWazoVKpUKlUsmM/N4fv9IXdbqdZs2a4\nXC52797NkSNHKC8vVxxns9nkuZUOh0NOD0qqTuFwGK/XKxNdCgsL2bx5M3l5eUBdYHj++eczbtw4\nbr31Vlq2bCm3IUHdfbpw4UIeffRRiouLGTBgAF9++SVpsbB8nI8WCSJVNWqe/ezktGup1WosFovM\n2A+FQnLmRBJL8Pv9OJ1ONBoNMTExVFVVyTNgPR6PzCovKytDq9ViMplITU2luLiYyspKXC6X3JMp\nKSC53W7MZjMOh0OWlJQCbJ1OJ+/QrVYrBoMBk8mE0+mUg5Hy8nIyMzPPEXwawblv5U/Dr86yNgBP\nLY3DHzw5fVQSJPapXq+Xp7M4nU5CoRDJycn4/f6Ipug9e/YQExNDUlISfr9f3tUJgiBH+ZIqkFar\nlWseUmpWo9FQW1uLXq+XVUkkNRJp4KxaraawsJDS0lJiYmJklqDdbsfv9xMTE0NaWpocXUuGWp+Q\nBchR9DlZvNMLTZo0Ye7cuRGpVJ/PR1FREfv376e8vJyioiKKioooKyujrOz/2Xvz+DrrMm38+p59\n39ecnCQne9skTUtpiyAvU4GqL6MIv2FUtCIj6jiICuMs8vq6jKiMuAzqCAy4oR9/OKKyzcgiFGRE\nKJRSSpe0TdPkZDkn5+Tk7Pt53j+S++5JmrRpWVLic30+/bQ5Oed5nqTP/dzf731f93XFEQ6HsWfP\nHsRiMe67Eei+s9vt2LRpEz72sY+xh+1iQiCTk5P4xCc+gd/+9rfYvHkzpqen8dhjj81JlruGlfj+\no6/dfaXVaqHX69HS0sLlVYqrYDCIXC6HRCIBlUoFSZK4AkVVm1wuxwtXk8kEj8eD6elpeL1eGAwG\nHDhwANVqFalUiqtNtAgdGxtDMBiEWq1GMplELpdDNBpFMBiE3W5HOBxmVTSNRgNJkuD1emE0Ghcs\nncs4hhWVMBUKBXQ6HT+M61E/p0SwWCwLlltsNttxoxN2u/24EozT6TzufS6X67j3uVxO/PPFE7j6\n3CKKFeBjP3PhlelGGAzjx51jfqnVaDQe16/UarVzeqw0xmK326HX67k0Q/0OWqHSiIzL5cLRo0c5\nIfl8PhiNRrbV0ul0nCTJF6+trY3LQZREqQdlMpmQSqVQLpdRqVRQLBaRy+V4GJt2u3RNFKQqlQoW\niwU2m40NfOnnt1gs8Pv9/KClcRIAMunnTQ6dTofW1lZ4PJ4FS6+0S5IkiSsi1Etf6P++UCgsmCwn\nJyfxgx/8ALfddhtKpRLMZjMikQiUSiUabDVOli8eVeCy75kwnTux5vOpgBaRtFB0OBxwu90IhUJo\nbm5GIpGA3W6HVqtFJpPhHZ7X64VGo4FOp2NlK+ol6vV6jIyM8PNFpVKhtbWVBd9Ja9loNDLDn6Qp\nq9UqK2i9/PLLsNlsvEDdu3cvJ16Ka4PBIO8yF8CK+o1Qj6BcLh+XeMrl8nGJp1QqLThKUa1WF/SG\nnD/juNB5qBdQD0Uth/XvzqFYBq68TYeH9xRgMAwf976FfCqLxeJx11I/W6nX66HT6Thxh0IhFAoF\neL1eJvTQ6pXeq1Kp0N7ezrq3Go0GmUwGiUSCtSqz2SwmJyeZyh6JRHg+rlarYXR0lBcoWq0WKpWK\ny1CNjY08e+l2u+HxeOByuRAIBKBQKHD48GHodDq2Q9PpdCyaTz8rPSQI8jjJmxPks7rQw7dYLC5I\n+qnXY6bFYLVaRalUWtBAeb6jx9jYGG699Vb86Ec/QrFYhF6vh8vlgkaj4R5fT7CMoGNmZ/me7xpR\nggFK5fGLZzIDmI8TsdepX1koFJjMFgwGuX0xNDTERukKhQJtbW1obGyE0+nkfiLNYY6NjaFWq2Fo\naIj1XQGw1y0R+lKpFAKBAHp7exEIBFAulzE1NYXx8XGoVCp0dXXBZDJxktbr9czGd7lc6OzsREtL\nC/R6PcbGxpj0I2MuVlTCPPMgQa0EciUF3vVtPXoaq/jDwGv7K69Wq0ws0mg0GB8f53nIdDrNJdl4\nPI5KpQKXy4WWlhZ0d3dDrVbzyAsFdSwWg0ajYbau2Wxmhq0kSXC5XBgdHUU6nUatVoPL5eJejRAC\nvb296Ovr44dhf38/enp6kEgkUKvVOIH6fD5Eo1GkUik4HA44nU4EAgGk02loNJo5WrFyOfbNC3Ka\nWSgxarXaU3rdYDAs+LrZbIZarca+ffvw3e9+Fz/60Y9QrVah0WhYwSqRSAAA0sk4stkCHnwBuOSb\nSuw6KjCdy0OpPN6QADims7oQFhMGMBgMPOvo9XrR2trKoySFQgGhUIjZsiS63traCoVCgWg0inQ6\nzeSbUCiEWq2GV155BZFIBCqVChqNhiswXq+XY+jCCy9EU1MTdu3ahZdffhnJZBKFQoGZ75VKBS++\n+CLK5TI0Gg2SySS6urrQ09ODjo4OBINB7qPKpJ+FISfM1w0Svn5FCe2eGj56txFTSfGaJUutVssS\nWjSgHAgE2OtPkiRMT0+zwLvdbueZrkAggKamJqTTaQQCAezbtw/79+9HY2MjM+ay2SxcLhfcbjfy\n+TwymQz3LWmu0mq1YmpqinVdydaoUCjg6NGjSKVScLvd8Pl8aGpqgt/vx9GjR1kH02KxMN1+06ZN\nrB1LCbHeKUEux8o4EZ555hl85Stfwe9//3uo1Wqe1TUajZwoASBgl/DQDVn8y28E7nlWge37XvvF\nF7U2zGYznE4n3G43crkcJ9A1a9bAYrHwXCY5j1DyTKfTkCSJ2bkKhYJjV5IkWK1WWK1WNDc3c4vj\n6NGjXMbds2cPXnjhBR4La2lpweTkJDsZZbNZuN1urF69Gl6vlx2XSNLT4XDIC9MT4IxMmEKIvwLw\nRQCrAGyUJOn5JX6OySnzV4v1ZUuCXq9fUMmH+oDzX5t/TGK/1cNsNqNSKeMrl+Xw8QvKKFaATZ0a\n/P6luecm+57555jfUyVbn3oQiYB8KJ1OJ/R6PZRKJaxWK/R6PQKBAKLRKCqVCvR6/ZymPgUYzXDR\nqpXKoo2NjdDr9dDr9Rgenikda7VaOBwOTpw0EpDJZNiPcGBgAJOTk8zKa2howMTEBA4dOoSenh5s\n3LgRg4ODeOaZZzA2Nsa7xnA4jKamJu6HknYsPfjqy7HybnN5cLox+Xri2WefxZe//GU8+uijcLvd\nbIO10H0RsEv43WeLaPNI+OTFAv/5nEBNem0Z6jabDXa7HYVCgQlLQggeAens7ERvby/K5TIGBweh\n1WrR3d2NfD7PJVYqyWo0GiQSCfj9fsTjcbS3t/MukWI2l8tBCIFQKMS7yHg8DkmS4HA4oFAoeHef\nSCTQ3NwMlUqFjRs3orm5GbVaDaVSiYVa5L7lyXGm/nb2ALgMwO2n8iFJkrhxPT8ZLaSBOp+BR6DE\nUY/Fjnn8a2XcdFkOH7+gimIZeN+/q/H4gfRxfchyuXxc/3QhTdaFvCtpVVipVGA2m+cMJ9NuUKVS\nwev1sqpQrVZDMBiE2+1GQ0MD4vE4EwXIGml0dBR2ux21Wg1dXV08J+bxeGCz2SCEQCKRwPT0NM/R\nFQoF+Hw+pFIp+Hw+aLVaFpNubm5mT8t0Og2LxQKj0cguJFarFZlMBpFIBPv27cOaNWuY6g4c61fW\nq/tQMgXk3eYbjNOOyYWMC4CFDQ3o9YUe3CSC8MQTT+COO+7Aww8/DJfLhebmZuTz+ePGj4gt3mCr\n4b9umCH4vDSixLu+rQSEgKIuX5Ly1XycitIWGQxQrNjtdrS1taG9vR0TExMIh8Os4ENzlVRtGRoa\nglqtRrFYhMfjgVqthlarxcDAAIaHh2E2m9Hb28vPps7OToyNjUGn0yEQCKBYLGJ0dJQlJ0lWUqvV\n4sILL0QsFsPExAQcDgeXhukZlEwmoVKpEIvF5Lnnk+CMTJiSJO0DTu1mPVPwhXcXce1Fx5Llf+9W\nvibeedSPUSqVcLlc/G8SSya2XLVahVKpxFlnnYWWlhY8++yziEQiHCBEMafVaKVSQXt7O9ra2tDf\n34+DBw8iEolAr59ROKHeSjwex9jYGCYmJmA2mwEA559/Pmq1Go8CSJIEu92OYrHIu10aliYhBNKR\ntVgsiMfjXAIeHh5mckhDQ8OiyVAm/ywPTjcmSTt1ocRIRLH5oHubcPjwYfzXf/0XHnroITz55JM8\nv6jRaFh0fCH3nmQyCbO2hIeur6HNA7xwBHjHNwTi6ZMTh+qxWK+SfgYALIZeL0JgtVrR0tKCRCKB\naDQKrVaLkZERnrFct24dHA4HO5bQwnBqagotLS0YGhriRW1TUxO0Wi20Wi2ampqgUCi4IkMqP4FA\ngIXch4aG0NLSAo/HA4/Hg1wuh3K5zApbpNJVqVTg9/vluecl4oxMmKcCIcRHAXz0FN7Pw74ngkql\nWnDFeTI88ooKHzqvhGvumkmWrwb1Sh80LkP6kPTgkiSJRQUsFgvUajX3HguFAlpbW1kxh+yE3G43\n91rIg8/r9WJkZIQ1dKvVKqanp+F0OjE6OorJyUkAYM1LhUKBQ4cOsa0S9W1CoRCPs0QiEVYBam1t\nZV3dWCzGq1+n04mWlhaUy2XY7faTJkJZS/bMR31M0pD+qSCTyeCxxx7DY489hu3bt2NgYAAA0NXV\nNccibikG6lMZ4NE9AsmchK03K5B6jfwsAbCzSD27mypZTqcTnZ2dAMCSc2QoAByT6qQWhNVqhdPp\nRDgcZt9Ls9kMs9mMxsZGqNVqFnwg5rHdbmcGezQahd/vh1arxSuvvMKsWbvdDp1Ox7vcQqGAkZER\ntj8EZp4hbrd7juKXjIWxbAlTCPEYgIV4yzdKknTfUo8jSdIdAO4AAK1WK9X7zdULh9NAsBCCRzdI\nU5U0V2mFSSxNWuXSkO/8FahWq51NaBLO7ajhfw4qsWvUjL7/o0C6IEAzwAt5SFLyqgeVWcmnk/qm\nxWIRZrMZNpuNFT3IiQAA2wGR/58kSdi9ezc0Gg28Xi9WrVrFrDzqdWazWZar8/l8SCaTXLqlki1J\n+5FvoU6nQzKZRENDA5e7BgcHYTQa4Xa7UavVMDk5iUAgALPZzKtm2pGSm7vL5cKaNWu4VEv6tq2t\nrfLqdhnxesTkhg0bFt+e1SESieDBBx/Efffdh9///vcoFouwWCx4y1vegnA4zLvJxcQJ5iNgl6DX\n1jAwJvDJnwAmnUCmIPBaVhvJU5cUhYLBIIuYl0olJBIJHhshX85SqYT+/n5IksS6yfXtBvq3w+Fg\nA+x0Os3qPvUzzyaTCclkEpOTk7xwNpvN7K3Z0dGBUCgEl8uF5557jsfRSG/bYrHgyJEj3MKpn3uW\nsTCWLWFKknTha31M6n0Qlbq+QU43Gq3eqH9Z3zyn0lEmk5lD5rFYLMhms8cRfGZeq+Cb76/huq0S\nPnW3Av/xpHRcIly413l8T7VSqfCKtVgswmQyMQGAiAOJRIJLM06nE8CMYAExVolyTia8TU1NTAKg\nGdWGhgaUy2WEw2EeoA4EAiiVSnA4HPw7JLGHarWKYDAInU7Haj82mw2BQAA+n493uIODg7yKbWtr\ng9vt5t8rMQOphEs9GCrPkk2R3D9ZPrweMRmJRPDFL34R8Xgck5OTiMViyGazyGQyrG2cyWQ4Flpa\nWtjKSqVSYceOHbwTWioCdgmP/lMFOjVwwVcUGIoJZI73KnhVIAlKSZK4WtPb28suQ1SBEULg/PPP\nx+bNmxEOhwGA7ermk9dIe5mIeYlEAuPj4zCbzcwup7EwchIhchG9l5xIOjs74fP52HChsbERJpMJ\npVIJHo+He5k0giYbRi8Nb/qSbD2ofGmxWFh0PJFIwGazoVarsRUOKdJYrVZks1km9Mx3SaD+i0aj\nYYUbg8HAO9d8PsfJslgGhiaXdp1KpXJOL4io5fQzkNuHyWRiVwKlUomuri5EIhGkUik2Yu7o6OAH\nitvt5mumvkc8HucREBJvHhwcRKVSgd1u56FlEikIhUJQqVQ8RE27awowmt2MRqOo1Wro6OiAwWBg\nvVm9Xg+Hw8Hal6QyYjKZuGxVKBRYVzQQCKCtrY1/tzJWFsLhMG6++WbWiXU6ndi/fz+X1mu1Gi9U\ndTodAKCjo4M1YutBi7X5oCQFzCTLR/6hjDbvjJ9lMi/mxFp9Jakep9qbJTKTWq2G0WhEQ0MDOjo6\nUCwWEY1G4XK5YDQaea5ZoVDA4/HwQp0W78T6phEqvV6PWCyGSqWC8fFxjI6Ooq2tDevWrUM+n2ex\ndpfLxcmPfvbx8XHE43FMTU2hVCrh8OHDvDBpaWlBb28vjh49ikAgAL/fzwtgsv6SE+bJcUYmTCHE\newB8F4AbwENCiF2SJG092efoIU2KHtS3Gx0dZQdyu92OdDrNoxIGg4FXuKSTSgoYAJhUQAmKdqjl\ncgnfeF8Vn7xoJlledZcJv3u5BJNJzw4ei4EUcagXQf51lJxJJLne6FmpVCIWi6G/vx/ZbBYDAwNM\nLFAqlWhubobT6cThw4dRq9X462w2C71ez+y7XC6H1tZWTl4tLS1wuVx4/vnnWXKvWCzC6/Wym7tS\nqcTExARyuRy7LRgMBuRyOezatYuFCAYHBzE5Ocll1g0bNiCZTPK1OxwOFItFFnQn+TASkianEzlw\nzzycbkwqFAr4/X6k02mEw2GEw+E5SY8WiqRuAwCpVGrB+EmlUgsqc5EMY8Au4eF/kNDmnSH4bL0Z\nmMrMTY7EZF0IJyL3zAft8BwOB0qlEiYnJzE0NMS7Qa/XC5/Ph+3btyMSiWBychIqlQrZbBaxWIx7\nkBTbxWIRRqMRLpeLFbRogdHS0gKbzYZIJILx8XFUKhXEYjFotVpYrVZ4PB5oNBrW2CVinyRJGBsb\nw969ezE6OsoiEpQsh4eHuY1CZDsZJ8YZmTAlSfoNgN+c6ue0Wi2am5tZMYZ6k6TD6HQ60dHRgf37\n9yObzcJsNqOnpwfVahVTU1PMdKPyYTabZYFx8r+jYN/SDXxylg37kZ/Y8OQhPZxOsOmzXq9nw1fq\nqRKo/ERCx7RS9Xg8MBgMmJiY4PEQv98Pi8WCWCzGZBmy1qLyrNFo5AFnKpeuXr0aADA0NMS7znA4\njAMHDjBBhzA9PQ1JkpDL5eDxeKDT6ZDP5zE1NYXp6Wn2y6N5S6VSyUy8Xbt2Yf/+/bybjUQi6O7u\nhl6v5+ujJEzaloVCgUlKtVoNu3fv5rGUvr4+mdRzBuJ0Y1II8Yax3W/dJqF9Nlle/HWBZF4AWHoS\nPBHIjYdKxWR00NPTg1wuh3A4DL1ez4tq6vnTGAgJFzidTmQyGTZQLxQKSCaTbGJAi0WNRoOmpia4\nXK45lRen04l4PI5SqYR4PI58Ps+lVjpOY2MjpqamUKvVWOiAkjqdP5/PIxKJAACLj8g4Oc7IhHm6\noNKq2WyGy+XCwYMHodfr2WGdhAYsFgs3zalkK4SAQqHgWc5602QKAEmSWET8yYPAVx+UcCBqwOMH\ndCiXS2zATN6R1PekIKBESfqUZLmjUqlYcMFgMMBgMLCDQHNzMzKZDBwOB5dubDYbzj77bHR2dqJa\nrWJwcBDpdBrxeJxJCENDQ3A4HPy7sVqt7NEZi8W4p6RQKLB69Wo0NDSwqazBYMChQ4f491kqldDR\n0QGtVsurXOqTULm7o6MDzz33HDQaDXp7e9Hc3IxoNMrJHDg2CtLf34+jR4+isbGRd9uZTAZNTU1y\n4Mo4bXzshwLpgoRP3y0wnRM43Txd3yKhr+tfJ/3WbDaLSCSC1atXcxuExr6IC0E8A6q6FAoFJsJR\nyZYWr/XiAZR46xePRIiz2WzMrM1ms0ymIx3r4eFhLl+XSiW0tLRACIFischVHrvdDr/fD7VazUpC\nMk6OFZUwaSdFA/F0c5PlDanw6/V6tLe3cz9laGgIxWIRNpsNbrcbhUKBHRNIq3UmkenxD2/P4PlI\nA54dcOCeV2bMlF0uiaXm0uk0u5rTLCLNSxED1mKxIJlMst2WxWJh4ozNZoPP5+PxD6LR0yBza2sr\nNm3ahGw2i1wuxzvDV155BUIINDU1YXR0lNmv3d3dnPC9Xi/Wr1/PAgRutxt2ux3AzGKCvPkosXd0\ndCAWiyGXyyEUCmFychK1Wg1NTU0c5P39/Zw0V61aBa1Wi87OTqhUKkxPT7NEVyAQ4J072X8Vi0Ws\nXr16zgNChoxTQcAu4bP/u4Ibfi4hlha46vZXv5ut73GaTCZYLBZ4vV5+LhCRBpipzqTTaXR3d8Pl\nciEajaKxsRFCCASDQezfvx+ZTAZ79uzBhg0b+Ph0z1NlhvwpT0R8o1Ksy+WCxWKZo4oVjUZhMpkQ\ni8XgdrthMpngcrmQy+Xg9/uRSqXQ0NDA9nr18SbH3dKxohKm0WjE2rVrmZFKfbzx8XFMTExArVYz\neYWYoeVyGclkEolEAg6Hg10+stksO6XXajX4/T58YtNBvGf1CC7JT+LyoT44nTPKOrlcDjabjS15\nMpkMl2HJTLqexEM72fqEqtfrkcvlkEwm0d3dzb3XbDYLq9WKZDIJrVbLLgiJRAJjY2NYvXo1Nm/e\njEqlglKpBI1GA5vNxqtVSuA6nY77ukSAAmYYtplMBvv370cwGOTyNa1O3W43yuUyS48B4MHpWCzG\nfn21Wg3t7e2sYgLMOKfQeEkwGOTADAaDqNVqPEcmJ8uVixPNPZM4xnzQCMl8zCfLzbBhq2j3ApkC\n8Llfnn6ypKoPXS8wk9icTieUSiX8fj/7U6ZSKYyMjMBgMMDtdkOtVnPPEgDi8TjPNQaDQUxPT89R\nuZqcnESlUkE8HmfP2XQ6jZaWlhNeYywWw9jYGIAZpm0mk0Emk2F2LTFkq9UqJ32TyYRoNDqnrUSV\nH6PRyAtkasfIcXhirKiEqdVqcdZZZyGfzzM7LZVKwWKxsGMAzS6Fw2EuTfT19bHKhVqtZq84GuDX\n6bT4+78YxdaWYZSrCtz50tlQ62f6DVTmVKvVSKfTGB8fZ2cCl8s1R3Agk8nMkb+j3S6tLnU6HRwO\nB7LZLAYHBzE4OMhO9ORjSew3cjKgJv7w8DAikQjPlarVagghcPToUeRyOabr12o16HQ6How2mUyY\nnp5GPp9nwXNgRqAgHo/zQy2RSPAICK2ufT4farUaxsbG+Nr0ej0KhQJyuRzUajWi0ShsNhsn81qt\nhqmpKZ5NJYFpuRhGc6EAACAASURBVG+5MlGtVjE2NnacNCQwQ6hbyI82n88vKBpC42AAEHBIePSf\nwD3Lr98/d2e4GE5G7KF5RlLBoUXq8PAwHA4HVq9ejVQqhXg8jmKxyNqvo6Oj3IN0uVzw+/3MPs/l\ncpxQyZ2kniU8ODiIWCwGAGhvb190EUkOIrRzpLlpEjiguK7VapiYmOBzVCoVbo3QLpW4FR6PB1NT\nU5w05Tg8MVZUwqT5yw0bNuDAgQNIp9M8XkJ1fKPRiOHhYe5lBgIBFktWKpWIx+OszTgyMoJUKokb\nLkhha8tRlGsKfH/3Fqhb3oGOyiEUi0Ue+6ByqEKhwMGDB+FyudDY2Iju7m4IITAwMMAkovpkUavV\n4PF4uFfqdruRTqdhs9ng9XrR2dmJnp4eFAoF2Gw2xONxHDlyhPVY9+zZg8nJSfa6MxqNmJycZBEE\nEmGuVqvIZrPwer3sXlC/O2xubobf72fPwUQigcnJSbS0tMDv9wM41oOlPksmk8HQ0BByuRwPldPo\nSqlUwsTEBPuI0uqbfDdVKhWam5vlcRIZp4yAQ8ITNx5Llhd9DZjOnfxz9XC5XFxiBY71J0mv1mw2\nQ6/Xw+fzIZFIoFAoIBwOM4EnFAoxQdDv98Pj8SAWi7Fwgdfr5cU0LRABsHQdzT3WajW0tLQwKzaT\nyczZHdaDEiAlVK/Xy9+LRCLI5/Pw+/3QaDTcYiqVStyfzGQysFgs6Onp4XPQaArNhMo4MVZUwiRV\nGuohTk9Pw+/3Y2pqChaLBTabDU6nE0eOHOFyYiKRwODgIDweD5xOJ0KhEMbHx5FMJmG329HRGkSX\n+1mUawr8287z8XK8AX5lFLlcDolEAvF4nEucwWCQrbfMZjOCwSDUajWTe4LBIBobG5HP57n3QTqw\n+Xye9VgrlQr6+vqwYcMG3qHm83m0tLTA7XbjwIEDLLJMg9NkDBsOhzkA3G43C7SThqVKpeLyKP1t\nsVjQ3t7Ozu25XA52ux3ZbJZ7OMAMrZ/KOMCMVqder2e9SloAkBKJ2WxGMpmEQqHA1NQUJ00aDZia\nmpLLQDJOGa1uoMFWnyxPnQ1LlQ0CjZzl83ke6yAzAafTiUKhwDOO1I+nWA2FQmzCTlUiYoe3t7cD\nADPdKWHW9w8bGhpgsVh4vI3GyupRq9XYfQg41luleCNNaRr30uv1zHCnxEsLZJvNxjtNjUYju/+c\nAlZUwqQbnZKYSqVCMpnkMQySgovFYohEItDpdOzOQQr+L774IgBAr9fBoFVAOP348h82o8udQ0Ld\ni4YGA7NoaSaKdnY04E/GygMDA3NGSvr7++F0OpFKpXgekga6qeyp0WhYrxUAJicnmUmq0WjYMqtW\nq6FYLM4ROK9UKlzmJb9MUgGx2+2seVkqlRAKhZDL5ZjRSwQC0n/1eDzcU0mlUhzAXq8XOp0OR44c\nYZo6eVbS7z+XyzH9vbu7G6VSictJtECghwMFqxy0KxNkubdQ6XV+T7L+MwtBp5aQKwJ/OCBw0dcl\n7BulZHnqoJgnQpzP50NjYyNyuRyKxSKr6dCsJJVVyYmHDNPJWcThcMBmszGhMBKJcJWH2hsejwep\nVIoFGgikDERsV4/HAwBMUqT4ojJqfTLN5XKs82yxWJDL5fj4pLlLSZU+S2x7ao8stqOVcTxWVMIk\nw1Tq0xkMBhw4cABCCN5BdXV1weVyYXBwEGq1GpIkobOzE6tWrcIf//hHlEol6HRafGTdHrhVo/jF\n+AcRiZuRBNA+6wgyMDDAIufATC8vHA5Dp9PxHOjk5CQnOPKVnJiYQLE4w6ylFWwqleJ+A7kLTE9P\nI5vNcg+FdGBTqRSOHDnCfQua+STygNFoRDAYnBMUVHKi5j7t7uabMlMAGY1GpNNpRKNRHo0BZma1\naHU8NTWFSCTCDxt6P1HrabFC2pT1SZB2tDqdDiMjI/wwki27ViboYT1fVhIAL+gWwvxeY8ABPP45\n4Jv/BdzxOPDHAX4ngGN6z3Sf1x+bNJ9JSYdml0kqkjgGZLiu1+sRiURYVECn07HvLLV4tFotgsEg\nHA4He8m6XC7UajWWqKMy7PDwMDKZDJ+/UCgct0jU6XQshkBtDbLootno+u8T5pdm58cRxXYul0Op\nVMLRo0f5Z6A4pOuRcXKsqISp1WrR0NCAnTt3MsGFxhqq1SrS6TRKpRJ8Ph8CgQBSqRSGhoZgt9sR\njUZhsVjQ3NyE9zQ9iQ3mZ1GVVFjlyyNTMLKkVSKR4HIj/U2lTlIDGh4ehkqlYtHlWq2GvXv3Ynx8\nHB6PBy6Xi5v7VL4kdSK6sQOBAEvaUeJTKBRs0UN2QblcDs3NzVAoFPx3KpViQoDf75/D4AXmJiUK\nFNpdOp1OntkkZi+9jwJLp9Pxapheo1UyPQgA8DnpHPUPiKmpKSSTSe751F+LDBn1CDiA7TcC7T7g\nIxcAP3wSqMzLv5IkoVgscjlTkiTUajWegyYinM1mg0qlYjJPtVrlMQxStSoUCrw7pLjQ6/Xo6Ojg\nESoiCPp8PnYacbvdmJiYYFY7lUBbWlqQy+WYGEcxQsnNYDAwEadQKHBptb4KAxxzKamPX6oO0c6S\nkm/97pRk+UgsgbS1KfHKi9SlY0UlzFKphF27diEWi7FEXmtrK7xeLywWCyqVCkZGRtgU2W6348iR\nI9i5cyempqbgdDrw/q7n0Kd9FpWaEj8+fAmGqwaYzUaWytNoNOjq6sLhw4fZZqulpYWttJLJJAtM\nA8CRI0dgNpvh8/ngdDoRCARgMpngdDpZUH3VqlU4ePAgzGYzU9Bp7iuXyyGbzfIKk6y78vk8jh49\nyv1FIiGQVuzQ0BCrkTQ0NPDOrh4LBUo9i6+evVqf+Mg0OhqNIhqNoqGhgRmzRHWv18gk1K9+qURL\nggxyOVbGfKjVanjMZU6WLxwBLr1Vj0p17sgJlXbJkJpEQICZPjvFLrU54vE47HY7tzm8Xi+CwSBS\nqRSmpqaQy+VgsViwZs0aJtNotVqo1Wp2DHG73QiFQtzztNvtCIfDbKpQX12x2WxcLqXXDAYDV3Xq\npTnrTdNJXJ0SIbDwonJ+hWYhk3VKmgv5hspYOlZUwqxUKjh48CB0Oh27dpBuIgkF6PV67mmSVx/t\n2i5r24k+7XZUJRV+MviXePyADo2NBZxzzjmoVquIxWJoaGhAOBxGMplEJpPB6tWrEQqFUC6X2Weu\no6MDyWSSe4ZmsxmrVq1CPB7H+vXr4XQ6MTY2hlKpxNZbNEpSLpexevXqOfR1rVYLr9cLIQTcbjcM\nBgOMRiPbb+n1ek5QtBhIpVIoFApIp9PH0cXr30s7RFpx1vc9aFcLHEt29f+up7kDmEN1t1qtzESs\nD3J6UBQKBSYnyeVYGQuh0WvC459NocVVxUsjKlz1Ux9ylQy02hmSHY1JkPwlVWBImYfkJhUKBaxW\nK4CZKhQJjZM05dq1ayFJEiKRCBsJNDc3swKXEILdfkg4vaenB16vF3v27MHY2BgikQjcbjeCwSBX\nTEiEnRyR6neUtGskIQQi8NDXCoWC45B2lSczVdfpdEilUrwDpoRcTzCiCtRCo1z0XJAXr4tjRSVM\no9GIdevWAQACgQDP/ZXLZZ4pJLNUoor7fD6Wfav416CSfgHPiY9iQmmAwXCEZxmr1Sp7UjqdTsRi\nMbbUcjgcGBkZgc1mY5EAp9PJxBev14tnn32W9Sa3bNnCCj2Tk5PM2AuFQlCr1ejt7WVGHY29kMsK\nMfc8Hg/bY6XTafa6tNlsvKNMJpPcU6wPnFwuh+npadavBDAnIKnvUU/ioTIRgDnHI+YrMLefQkFf\nH5T1vn/1D4/6v2XIAGbts4xu/HHUgnw1ik/8qgW5SpHbC8Q+p1EyYqWShiuJmZM4Os0hkuRksVjE\n9PQ0lEolotEoWltb0d7eDqvVikKhAJ1OB6PRiLGxMTQ3N/MMMhFqcrkcjEYj+vr6EI/HMTo6ilQq\nhcbGRqhUKkxMTCAcDiObzSIUCs25zyl51u82C4XCnMUm6UrTZ06UzOpJe+Pj48jn85y058fgieJN\nXryeHCtqGaHRaNDT04O2tjbe4QAzg9Bk7bVmzRqEQiG+oSbGx2HJ/glarRYpVTv2dz0Ec/d7sWnT\nJmzatAkOhwOZTAajo6OIRqPsrLFu3TqsX78ePp+P5w3Ja1KlUsFisWBgYICdCcg5vaenB6lUCkII\n+Hw+tLe3w2KxoLe3F5s2bcIFF1wApVKJPXv2IBKJwOfz8XynVqtl4tDExAQTfRKJBAvDU4LzeDwI\nBoNMV6cVLXBsjpJ22gaDAVdffTU8Hg96enoAHAu066+/Hv39/XjLW96Cyy+/nFen9ccsFArYuHEj\n1q1bh3POOQdf+9rX+FxXXnkl+vr68LnPfY5f+/a3v40nn3xyjl7mUla073vf+9DX14dvf/vbr/5m\nkfGGgQg48/9Uq1VIksR/nE4n9Ho9Wn0arGqoYXIyhq8+ZMSH7m7FYDjBOy1it9MoBVnE+f1+NDU1\nobGxERaLhU0GyKO1XC6z1KNGo0EoFEJPTw/7x1IydLlcCAaDiMVibHW3fv161qAmfoRer0dTUxO6\nuroAHOsx0jHsdjsnZODYItJgMPBoCX2GFptms5lHVdauXYvzzjsPGzdu5GRGMffNb34TQggWPADA\nLRjSpAaA7u5uXHvttQBmxrne+c53YvPmzfi3f/s3bpd89KMfxc6dO/m6lrJ4LRaLuPDCC9Hf3497\n7rnntbhN3hRYUTtMAFxqoURQKBTYOisQCMDr9fIcYalYhG/sZjTm7wXKl2L3kXdgeFiJtrY2BAIB\n6HQ6jI6O8spOCMGMt0qlgjVr1qChoQGjo6N4+eWXeQbT7XYjFovBarWyF6QQAna7HfF4nHdmRAZ4\n4YUXsHPnTvT09KCrq4tXiD6fDz09PexvR56T09PTLAJvMBjgdDpZ9m7+KpFIA/QwoJVqfblUoVDg\nqquuwrXXXott27bNWc1ecMEF2LZtG9rb2/G1r32N/wDHVqlarRaPP/44z7W+7W1vw0UXXQSXywW9\nXo/du3fjoosuQjKZRC6Xw3PPPYfPf/7zp/T/OjExgR07duDQoUOv1a1yQpAWsIzXD6Rrmk6nIYRA\ntVpFm1+L+z6ZgklbxSXf0WC6XMF0SeKFldvtRiqVQjKZ5MTp8Xh4HrmpqQkmkwn79u3jBEeerz6f\nD08//TQmJiZgs9nQ1dXFi9ByucyWerTDo3GRdevWscRlOp1mv9d8Ps9cic7OTiYapVIpmEwmhEIh\nnp2sb4tQ0qTyK8UgCRqQof0TTzzBPX6KX4PBgJGRETzyyCPcUqoHVYpMJhO+8IUv4Pzzz+fvPfzw\nwzjvvPNw7bXX4oILLsBf//VfIxKJoFqtYv369fz5pYDG73bt2vWq7oGlgBZUZ0KZePmv4DUE+VCm\n02nUajVmpLndbqxZswZ6vR779u3Do48+ioMDA1Dt/iwas/eiBhXymjbodDom6/j9fnR3d/NNTMPF\nXV1daG9vh1arRalUQjabZaEDCk6tVst9CSLjBAIBNDU1wefzwefzobe3l8usRDx64okn8NJLL6FW\nq6Grqwt9fX08l+VwONDc3MyO6yToTmpFlCxJwLmeoFO/8qWEWk9tr9VqOP/889ndhEq20WgUW7Zs\ngdVqhUKhwObNmzEyMnJcaahef1OtVvPqmx4qVBZXKpX4v//3/+JLX/rSov+HhUIBH/7wh9Hb24t1\n69bhiSeeAABcfPHFGB0dRX9/P/7whz/M+cx//ud/oqenB2vXruUHxGLH+fGPf8wrbgC45JJLsH37\ndgAzD4sbbrgBa9euxTPPPIMdO3bgLW95C9auXYuNGzcinU6jWq3is5/9LM4++2z09fXh9ttvBzBj\n3nv++eejv78fPT09x12jDLCeMS1YqVpht9vR0NCA/k4XHvhUGiF3FZGMFpmqicl6DocDHR0daGho\ngNvthtfrhcfjwcaNG7FmzRqce+652LhxI4LBIOx2Oy+Mu7u70dnZyV+TnGQoFILb7UZ7ezuam5ux\nZs0alrIkklAqlYLX68X4+DjvSjdv3oz29nbunVJy6unpQUNDAz8PyKLP5XJxGblexYc0p6mvSJhf\nQq2PV9qhfuYzn8G//uu/HjevWn/MF198EZFIBBdffDF/X61WI5fL8Y4/nU7jxhtvxL/8y78s+n82\nNTWFSy+9FH19fdi8eTN2796NaDSKD3zgA9ixYwf6+/tx+PDhOZ+59dZbsXr1avT19eG9733voscB\ngC9+8Yu45ZZb+LM9PT0YGhrC0NAQurq6sG3bNvT09GBkZAS/+93vsH79eqxduxZve9vbAADZbBZX\nX301V7juu+8+AMArr7yCjRs3or+/H319fTh48OBSbtGTYkXtMJVKJVpbWwEcEzEAwA/3gYEBvPji\ni1CrVbjI8RCa8vehJtR4Rvn3eCXaALt9ZiyE1DQUihmzaEmSUC6XIUkStFotVq1axauebDaLrq4u\nWK1Wdv4goXK60Ul/ValUQpIkBINBmM1m/n5rayvK5TK6u7sRCoV41Uy9FCrD1OtP1gfZYsw4+tkX\n+3uxnkU9pV2hUDDj74c//CHe9a53YXx8nJnHhHK5jLPOOguDg4P4u7/7O5xzzjn8u1i/fj0++MEP\nYmBgAMViEf39/Yv+H37/+9+HEAIvv/wy9u/fj4svvhgDAwO4//77cckllyy4ov3yl7+Mhx9+GIFA\nANPT0yc8zomQzWaxadMmfPOb30SpVEJ3dzfuuecenH322aymctddd8FqtWLHjh0oFos499xzcfHF\nF+PXv/41tm7dihtvvJHlAGXMhdFo5NEr6j3Swq+7yYTb/+oAGm0VHEna8bnH1sDhA+/43G43mpub\n2YFHqVQikUhArVZDrVajsbERhUIBu3btwvT0NCdlquwQc504COl0GsPDw3w88m+NxWJcjiXRkLa2\nNpam7O7uZkstr9fLVnq0UAbAvIJsNgu/339cfFJPsp4XMB9CCFx88cWo1Wr48Ic/jE9+8pMAgPvu\nuw+BQABr16497jP15J8bbrgBP/vZz/DYY4/x9y+66CLcfffduPjii/GpT30KL774Is4+++wTGkd/\n4QtfwLp16/Db3/4Wjz/+OLZt24Zdu3bhzjvvxC233IIHH3zwuM98/etfx5EjR6DVajkeFzvOiXDw\n4EH85Cc/webNmzE5OYlrrrkGTz31FEKhEKampgAAN910E7Zs2YIf/vCHmJ6exsaNG3HhhRfitttu\nw6c+9SlceeWVKJVKC84Bnw5WVMIkphyt4lKpFAYHB9HU1ISGhgZ4PB50dHTAVX0ZTbHfQlJokFv/\nUyinmmEtHmTnkEgkwrNX9XqRhw8fRjweRzQaZa9NSZKwZs0atLa2wuFwYHp6mpU9pqamkEql2FG9\nWq1ys9/tdrONF60ciaRgMBi4lEN+lMViEa2trdz7qGe7nSgA569Y679ejABAFPR6Ju1Xv/pVqFQq\nXHHFFdyTIdRqNcTjcTz44IPI5/P4+Mc/jj179qCnpwff+c53+H3veMc7cNNNN+FLX/oS9u3bh4su\nugjXXHPNnGM9/fTT/HDo7u5Gc3MzBgYGTujXd+655+Kqq67CFVdcgcsuu+yExzkRlEolLr/8cgDA\ngQMH4Pf7cfbZZwM45kX4yCOPYPfu3fjVr34FYGZs4eDBgzj77LNx9dVXo1wu49JLLz3houDPEbR4\nVavVbLlH922pVMKn/tchNNqKGEo5cNeR9yJVeAX5fAaBQAAOhwM+n49VgxoaGlhWMp/P49ChQywI\nEg6HodFo2LWHPjc2NgYhBKxWK/x+P4rFIvR6PQuk6/V6hMNhaLVaNDY2or29HV6vF16vl2e0aeGr\nUqng8/lYDi+VSrGxdL0oALD4QpV0XRcrMz799NOwWq0YHBzElVdeiXXr1mHDhg346le/ikceeWTO\ne+tZ7wDwgx/8AO985zvR2Nh43HG/9a1vweVyQZIkbN26Fffddx+uv/56DA8PY9u2bXjXu9513HXc\ne++9AIAtW7YgHo/PYcwvhL6+Plx55ZW49NJLcemll572cZqbm7F582YAwJ/+9Cecf/75CIVCAMDV\nsEceeQT3338/71ILhQKGh4dxzjnn4KabbkI4HMZll12Gjo6OE55rqVhRCbNSqWB8fBzZbJYT58jI\nCACwdJXT6YRO/w4UvUVoXT2oGM9FaWI3PB4PGhoaUC6XuXRCyhzcX2lrY2NlvV7PO0ki/JBXXS6X\nQzqdZlFmr9eL0dFRVKtV6PV6LidlMhno9XqeGQNmkhX5ThIxh66FaOcz3pxz57hOFoDA8bTxhajl\n9ddBK+P/+I//wP3334/t27dDp9NxKYiui2S7iBBx7rnn4ne/+x0TiICZlfHGjRu5D/zLX/4SW7du\nxZVXXvmqGbK33XYbnn32WTz00EM466yz8MILLyz6XrJrI9S7aOh0upP2LSVJwne/+11s3br1uO89\n9dRTeOihh3DVVVfh+uuvx7Zt207jp1lZoF67Vqvl0Q6yqCNpuXg8jn/7ny4ItQm/m9iCmkoDl8uF\nhoYGtLe3w+12Y3JyEtlsFpOTk6yORcQfSZJYMMBqtbLBAc1TAmBFLLvdjmAwiMnJSfj9fmbKG41G\nJtJ5PB6Uy2W0t7djaGgIlUoFyWQSjY2NsNls7MBTqVSg0+ng9/tRqVRYzGMhEtuJFqoLMWADgQBq\ntRpaW1tx2WWX4bnnnuO5cdpdhsNhrF+/Hk888QS7IdVqNTz99NN45pln8O///u9shGAymfDpT3+a\n7cHuuecebNu2DX/6059gtVpxzz33YMuWLcclzNPBQw89hKeeegoPPPAAbrrpJrz88suLvvdE8Wg0\nGk96LkmScO+99zLxirBq1Sps2rQJDz30EN75znfi9ttvx5YtW07jp5mLFdXDpMa/0WiEVqtFU1MT\nNmzYgNWrV8Og18N8+Ktos0ZnnNHX3ICa/x2cnFpaWhAMBtHa2oq+vj4EAgH4fD709/ezikg6nUah\nUOCeh9/v51UoWQANDAxgcHCQHUOamprYB0+pVKK3t5fJAIVCAUNDQ9i7dy9r0lKC9fv9aG5uhsPh\nQCgUQiAQ4F0l6bYSWxXAktht85l2S8FTTz2F22+/HQ888MCcREtqQ9Q3BmZWhFqtFk8++SS6u7s5\nmReLRXznO9/BP/7jP87p2VSr1eM0Rt/61rfi5z//OQBgYGAAw8PDxwXDfBw+fBibNm3Cl7/8Zbjd\nboyMjCx6nJaWFuzatYsXU88999yCx+zq6sL4+Dh27NgBADyDt3XrVvzgBz9gP1FyoTl69Ci8Xi+u\nueYafOQjH8HOnTuX/DteyVAoFLxYpZaEwWCAx+PB6hYLrtv0Mhq8Nhhsfvxq+GKMRGa8HanXT3KO\nWq0Wzc3NMBqNMBgMcLlcGB4exvDwMN/TuVyOiXBCCBSLRbz00kvcPnE4HHA6nWhqasLatWt5vCSR\nSHBVqX6hSsxZp9PJJddDhw7hwIEDOHToEIaHh9n70mq18kK4PllSDNQnhfnM8PlxSTwMkr589NFH\n0dPTg97eXkSjUe7xNTY2YufOnQiFQmwDaLFY8Itf/ALDw8MYGhrCLbfcgm3btuHrX/86L0KUSiUe\nfPBBbNu2jZ8lQogFPUjr42j79u18jsVAcfUXf/EXuPnmm3lefbHjtLS0cKzs3LkTR44cWfC4mzdv\nxlNPPcXfp5Ls1q1b8d3vfpelFImMNDg4iNbWVlx33XV497vfzT3TV4sVtcMkRiows3JxOBwz+o7V\nKsrPXgvt0G0wau5EpOcx5GZvWKVSCY1GwyLixFwjT7lsNsuKPiRn5/f7EQ6HEY1GmU0bCoUwMjKC\nSqWCyclJLsFOTU1xj4Bmt2KxGPbu3QubzcYMvWq1Omd2ql5UYH7vcqEyz1IYZCeawXrf+96H7du3\nIxaLobGxEV/60pfwN3/zN7juuutQLBZ5R7V582Z873vfw/DwMG688UY88MADiEQi+NCHPsT2SFdc\ncQUuueQSLlfdfffd+NCHPgSDwYC+vj7kcjn09vbiwgsvPC74PvGJT+Bv//Zv0dvbC5VKhR//+Mfc\nG1oMn/3sZ3Hw4EFIkoS3ve1tWLt2Lbq7uxc8zrnnnotQKITVq1dj1apVzA6cD41Gg3vuuQef/OQn\necb1sccew0c+8hEMDQ1h/fr1PNP729/+Ftu3b8c3vvENqNVqmEwm/PSnPz3p/8efA9RqNS8Yk8kk\nLBYLVq1ahd42Oz7Y8EN4DWkItQl3vtjDPUnapZEQRjKZRFdXFxobG5FMJpHNZtmkPZvNYs2aNZwU\nh4eHYbFY0N3dzWIl5DxEC0+CTqdjdR5yMyLrvWQyyY5CHo+HE5zFYkFDQwN7XlKvFDjWEqrHUmYb\n58dlJBLBe97zHgAzVbP3v//9ePvb377o71ihUGD//v247bbbcOeddy76Piolf+Yzn8GNN94IhUKB\nrVu34vvf/z56e3vx8Y9//LjPfPGLX8TVV1+Nvr4+GAwG/OQnP1n0+MDMM/gDH/gA+/Jed911sNls\nix7n8ssvx09/+lOsWbMGmzZtQmdn54LHdbvduOOOO3DZZZehVpuxRHz00Ufx+c9/Hp/+9KfR19eH\nWq2GUCiEBx98EL/85S9x9913s3xh/Vjbq4E4maHqmwk9PT3S008/zQoghUIBHrcbtec/Bc2RH6Am\n1Ej03IkJxVlMshkdHWV/zJ6eHqacx2IxhMNhWK1WFkDX6XQ8qjE4OMi7WfKhUygU3OQmO55oNAql\nUsk9jtWrV2NycpJXiLlcDkqlEj09PXN6IlSCJZbuUvBqlTro3Cc7JwlDkwHt/HMtpCQ0/z1LPddK\nhRDiBUmSNiz3dbzeMBqN0tq1a1n2sampCe+6cD3+0vAt2JQxjBf9uOPQFTg6noLNZkN7ezuTbiwW\nC3bs2IFCoQC/34+WlhYkEgkcOXKEWyeFQgFnnXUWNmzYgJdeegn79++H1WrF1q1bEQ6HuYRKbiNK\npRKZTAahmc3MEAAAIABJREFUUAharRaJRAJDQ0NoamqCVquFRqOB1WpFOBzG888/z/cmsdyJ5Usj\nZPXi5gvd78ulniOr9pwalhqPK2qHSSbMALB3715k0mmcZ7gXptG7ICk0KJz1M1hD78HorBC60WiE\n2+1GMplkghDJWbndbm4s2+12nrEiGS4qwQAzJZRIJILm5uY5OyZapVosFtjtdlYBIQugYDDIBACy\n2qpnulHwLfXmp3EQorMvlqwWAvVDT8TcI5xsZ3s6q2oZKxNkkUVlywvf0o2/sn8fukoM4ZwXPxv7\nILRmOxqEiceQ4vE40uk0MpkMtFotS0tGIhFYLBZccMEFGBkZQTgcxoEDBzA8PMzl0NHRUQSDQQwP\nD2N6eho2mw1vfetbkUgkoFAocOTIEdhsNqjVarS2tiKVSjERaWxsjEvttHAmJqzT6YTP5+PWB/Xt\naebyREz15YCs2vP6YEUlTCqHUaDls9PQFgYBhQbirb+Gzv8O5HI5dHZ2ss1PJpNBa2srJyxyHSAB\ndCrRmkymObqo9ezUcrmMdDoNs9kMk8nETNhqtcqr0IaGBn4/vaZQzLh2DA0NwWQyob29/TiJOgBL\nDsT6cRCS1jvZZwhLYe4RTkQWouuo//t0jiFjZcBgMKC5uRmlUgldXV1ocAioqtOISy24N/EhtHR2\nMxM1HA4jl8vxCIBOp0NDQwOXV6kkCszwFaxWK7q6umAymXDw4EFmqCqVSpbEM5lMGB8fR3t7O8Lh\nMH+fKiMU55OTk8xnILWc5uZmBINBKJVKZr7W67JGIhH+d/1Cs/6+X67EJS9IXx+sqITJzE+jEY0+\nOywWC/KeX0BdOQy434LcbOIxmUwwm80sl+Xz+aBSqZBKpdhNBDjG4IrH4xwQ9fRtADxnCcwwcekz\ntHJta2vjnejQ0BCzBSmZaTQatLS0LLqzO5Wd30LjIEsNmNcywORkKINADHODRoLP58NoXoUHK9dj\numJHIpuEY5ZxvmrVKjQ1NaFWqyEWiyGfz7PSzujoKA4cOACFQoGmpiY2TlAqlcjlcmwyoNPpmIlL\nxs3U8yyVSiyiQaLrtBi2Wq3MRi+Xy3A6najVarDb7RgdHWUzaQJZ/en1ehY812g0LJRSv+BcrsR1\nshiUS7anhxWVMAEAkgTx4vXwRP4A4+bfwmR1A4qZhKXRaJDP56HT6VCpVFCtVqHVaucklvnOGpFI\nBIlEgmcyyYaHEp7BYGDrLdJzzWQybApNeq40q1UsFpFMJnmW0Wg0sjDAQn2Qk+38TjQqQn8vJTjk\nJCfj9YBGo8E5a4O41PQdjOgq2JnfgrKhF7GjR6FWq3Ho0CFOYFarFY2NjYjFYlzCJTUsYqNaLBYk\nEgmYTCbEYjEmBdE4EBk0O51OrrRks1k4HA7WgCXLPL/fj1ptxmyeBNuPHj3KifPgwYPsbUkC7Tab\nDZlMBkNDQ9Dr9RzPZAFGhs/1O9GF4mq5E5Zcsj09nJEJUwjxDQB/CaAE4DCAD0uSNH3yT0qQXvg0\nxMCtUAgN1Ok9UDiP6S2SaTG5emg0GkxNTbEhciqVYsYcJR9yKqABa3JWrxdrnj+UnEwmUSgUWOuR\ndoh2u52T6vzSLt3AREGvdwupP8d8LOXGr+9tLkTSkSHjZDjdmGxv0OG97tuhK8eB2h8x5r4cQyPj\nSCQSPFZAM4zxeBxqtZol6axWK/R6PaamptDT0wMhBLLZLPL5PIaGhlgQhIRFiLRDhD5KSo2Njejo\n6IBCocD4+DiPMuVyOUSjUajVapTLZfa2bGxsxKFDh9gEOp/PIxaLwWw2czVJr9fDbDbD5XKx4MjU\n1NRxurGLYbkTllyyPT2ckQkTwKMA/lmSpIoQ4mYA/wzgH0/2oesvCEMM3ApJaDDdeyesTXOp2ORp\np9Pp5uioFgoFNl6mXmJ9P5Bm8KgsE41GOdHSjpL87Igla7fbUSwW53jPkSEseeTVYz7ZhxI4cPK+\nZf3fi72n3r399QzQ5V45y3jdcFoxedf7B6Erl5FUtmMg8D3oqjpoNHFYLBacd955EEJgenoae/fu\nhdFohMVigdvthkqlQiwWw8GDB5FKpbjcmUgkYDabEQqFOOmq1Wp0dXVBp9Ph6NGj3L4YGBhghrrP\n52NGekdHByqVCjQaDfR6PfL5PJLJJIrFIuvJdnZ28gJTo9HAaDQyyYdGy4iHQG0QSpr1LZvFsNwJ\nS64onR7OyIQpSVK99tOfAPx/S/nc+9dHZ9iwG34Ga+vlxz2waWUZj8eh0Wjm3LS0y6R/R6NRJJNJ\nlnCyWCxoampCPp9HPp9nZiv5QZKc3dDQEAs417umAHOF0CmJAXO9I+tLvfUzl4thKTd+fVDXH+/1\nSG7LvXKW8frgdGOy2VFGWt2Jie6fQFFUYXJoCAaDAWvXruXdWiaTgdFoRDabZYF0tVqNl19+mcl4\njY2NSCQSsNvtaGtrgyRJTJ4jqb29e/didHQUdrsd0WiUF7pWqxVTU1MwGGaM15PJJCqVCjsYkc50\nQ0MDL6aJaZ5KpWA0GrkNQ+IC9S0SuudpFIyE0k8EOWG9OXFGJsx5uBrAooZrQoiPAvjo7JdFoLQX\nuKK22PtxTN2oNvvv+e+l7ysBSLN/FACq8z6jAlCZdwwBQAvACmBq9uvKvHMo6o6jnn2tXPcexey5\nqzj+2k4VLgCxE3z/tTxX/e9h/u/1ZNfxRuFMuQ4AOLF80ZmNU4nJEjCwHzhHg5n7QsKxe0ONmfio\nYCaeNACKAAqYuS8Ns+8pzH5OM3M8lGb/rZ59P0nUKGePUx9bBczEoRXAJGbik85PsamafX8Zx2Ka\n4p9iVcx+Td8HFo/rE8XSmXIPytcxF0uKx2UTLhBCPAbAt8C3bpQk6b7Z99wIYAOAy6QlXKgQ4vkz\nYRhcvg75Ok6GM+laCHJMytchX8eJsWw7TEmSLjzR94UQVwG4BMDblhKYMmTIeHWQY1KGjBPjjCzJ\nCiHeDuAfAPwvSZJkY0EZMpYZckzKkHHmupV8D4AZwKNCiF1CiNuW+Lk7XsdrOhXI1zEX8nUcjzPp\nWpYCOSZfG8jXMRdvqutYUeLrMmTIkCFDxuuFM3WHKUOGDBkyZJxRkBOmDBkyZMiQsQSsuIQphPiG\nEGK/EGK3EOI3QgjbMl3HXwkhXhFC1IQQbzhtWgjxdiHEASHEISHEP73R55+9hh8KIaJCiD3Lcf66\n6wgKIZ4QQuyd/T/51DJdh04I8ZwQ4qXZ6/jSclzHGwk5Hvn8yx6Ps9chx+Tc6zilmFxxCRMzEl49\nkiT1ARjAjITXcmAPgMsAPPVGn1gIoQTwfQDvALAawPuEEKvf6OsA8GMAi1vFv3GoALhBkqTVADYD\n+Ltl+n0UAWyRJGktgH4AbxdCbF6G63gjIcfjmROPgByT83FKMbniEqYkSY9IklSZ/fJPABqX6Tr2\nSZJ0YDnODWAjgEOSJA1KklQC8P8DePcbfRGSJD2FGcWjZYUkSeOSJO2c/XcawD4AgWW4DkmSpMzs\nl+rZPyuadSfHI4AzJB4BOSYXuI5TiskVlzDn4WoA/73cF7EMCAAYqfs6jGW4Gc9ECCFaAKwD8Owy\nnV8phNgFIArgUUmSluU6lglyPM5Ajsc6vJli8owULjgZTkHCqwLg58t5HTLOHAghTADuBfBpSZJS\ny3ENkiRVAfTP9vJ+I4TokSRpWftJrxZyPMo4XbzZYvJNmTDPFAmvk13HMmIUQLDu68bZ1/5sIYRQ\nYyYwfy5J0q+X+3okSZoWQjyBmX7SmzphyvF4UsjxuADejDG54kqydRJe7/ozlvDaAaBDCBESQmgA\nvBfA/ct8TcsGIYQAcBeAfZIkfWsZr8NNLFEhhB7ARQD2L9f1vBGQ4xGAHI/H4c0akysuYeL0Jbxe\nUwgh3iOECAM4B8BDQoiH36hzz5IsrgXwMGaa6b+UJOmVN+r8BCHELwA8A6BLCBEWQvzNG30NszgX\nwAcBbJm9J3YJId65DNfhB/CEEGI3Zh6ij0qS9OAyXMcbCTkez5B4BOSYXACnFJOyNJ4MGTJkyJCx\nBKzEHaYMGTJkyJDxmkNOmDJkyJAhQ8YSICdMGTJkyJAhYwmQE6YMGTJkyJCxBMgJU4YMGTJkyFgC\n5IQpQ4YMGTJkLAFvSqUfGcsPIcSlAP43AAuAuyRJemSZL0mGjD9ryDH5+kOew1wBEEJkJEkyLdO5\n7QBukSRpuQagZcg44yDH5MqEXJKV8WrxfzDj9SdDhowzA3JMvk6QE+YKghDieiHEntk/n657/fOz\nbu9PCyF+IYT4+1M4plEIMSqE+Ors12fPyljphRA3A/hv8rWTIUPGXMgxubIg9zBXCIQQZwH4MIBN\nAASAZ4UQT2Lm//hyAGsxY466E8ALSz2uJElZIUQfgOeFEF8B8EPMaEBeA+BCAFYhRLskScuiESpD\nxpkKOSZXHuSEuXJwHoDfSJKUBQAhxK8BvBUzVYT7JEkqACgIIR441QNLkhQXQuQw4y5wtyRJuwDs\nAnDra3b1MmSsPMgxucIgl2T/jCGEaBVC3CWE+NXs10YhxE+EEP8hhLhy3tt3Y8ac95Y3/EJlyPgz\ngRyTZzbkhLly8AcAlwohDEIII4D3zL72PwD+Ugihm3U3v4Q+IEnS4Dwm3WUAfiVJ0jUA3kUvCiHc\nAP4CwL2SJNXqTyqEUMz7WiOEuFUI8T0hxPeFEFcvdLFCiKuEEJcs9D0ZMlYI5JhcYZBLsisEkiTt\nFEL8GMBzsy/dKUnSiwAghLgfM6vRCICXASQXOUzj7PcBoFr3+l0AHsdMzwWzx7wKM/2S5wF8p+69\n12CGdPDfs+9Tzf69BsCVALwA7jydn1GGjDcT5JhceZB3mCsANO8lSdK3JEnqmf1THzC3SJLUCWAr\ngGYsTjAIYyZAgdl7QwjxMQB5AP+IGfPdevz3vPMAwBoAO4QQCiHEdzBjIAwAJQA6zDwgPniqP6MM\nGW8myDG5MiEnzD8P3CGE2IUZNt69RDkXQjiFELcBWCeE+GcAvwZwuRDiBwAeEEJ0APgMgI9LkjQC\nYFwIUa8estCq+BUAZ0uSVJMk6dMAXLOvX4eZVe/tAAyvw88oQ8abCXJMvgkhK/3IOC3Mln9ikiQ9\nKITwArhEkqS7/h97bx4m11XfeX9u7VtXdXVV77vUklqWhHdjLDA2GeIkOATsCQECZJIM8CbzMGQh\n5Al5k5CQDAkZICQsExZPIBCyAQmvA8M4DjjEFjKWbMlWa2mp96W6q7u69r3qvH+UznF1qXrvtlrS\n+TxPP1ZXV917qnx/9b3ntxqGYaOShGAGisCsEOKPDcN4CPgRKneze4DvyddflTeg0VxnaJvcebRg\naraMYRg/BuSFEP92tdei0Wi0Te4UWjA1Go1Go1kHOoap0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs06\n0IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp\n0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0Gs060IKp0Wg0\nGs060IJ5DWEYRrdhGN81DGPIMIwzhmG8t+bvZsMwnjUM49GrtcZ6rLZuwzAaDcP4R8MwzhmGcdYw\njFdczbVqNBvhWr2211j3r15+7AXDML5qGIbjaq51N2EIIa72GjTrxDCMdqBdCHHSMIwG4ATwBiHE\n0OW//xpwB+AVQjy4zmPaAKsQIrXG88xCiNJmjrXaug3D+CLwfSHE5y+/3iWEiK5n7RrN1WYnru2r\naZNADPgP4CYhRMYwjL8HviWE+Ku11n0joHeY1xBCiFkhxMnL/04AZ4FOAMMwuoDXAZ9fz7EMwzho\nGMZHgfPA/hWe8w+GYfylYRg/AH5rs8daad2GYfiAe4EvXP5bXoul5lpiO6/t3WCTl/9sAZyGYVgA\nFzCz2rpvJLRgXqMYhtEH3Aocv/zQnwHvB8qrvMZtGMbPG4bxH8DngCHgZUKIZ1d4yRFgTghxtxDi\nD7d4rHrr7gfCwP++7Er+vGEY7tVer9HsVjZzbe82mxRCTAP/E5gAZoGYEOL/rusDuBEQQuifa+wH\n8FBxoTx0+fcHgU9f/vd9wKMrvC5Oxd0yuI5zOIB5wLLVY62y7juAIvDyy79/AvjQ1f589Y/+2ejP\nZq/tXWiTfuDfgGbACvwT8Lar/fnulh+9w7zGMAzDCnwN+IoQ4uuXHz4KvN4wjDHgb4HXGIbx5Tov\n/8/ANPB1wzB+1zCM3lVOdYjKHWdxhb9v5FgrrXsKmBJCyF3yPwK3rXYcjWa3scVre7fZ5H8CRoUQ\nYSFEAfg6cM9qx7mR0IJ5DWEYhkElJnJWCPEx+bgQ4reEEF1CiD7gzcC/CSHeVvt6IcT/FUL8DPAq\nKsH9fzYM418vu2RqOQKcXmktGznWKusOAZOGYRy4/NCPUHEjaTTXBFu9tnebTVJxxd5tGIbr8nN+\nhEp8U4POkr2mMAzjlcD3ged5MVb5ASHEt6qecx/wPrH+LNm7gFkhxGTN4x8FnhZC/N0G1rfSsVZc\nt2EYt1BJVLIBI8DPCyGW1ntOjeZqshPX9i6wyd8HfoaKS/lZ4L8KIXLrPef1jBZMjUaj0WjWgXbJ\najQajUazDna1YBqG4TAM42nDME5d7jzx+1d7TRrNjYq2R82Nzq52yV4OOruFEMnLGV3/AbxXCPGD\nq7w0jeaGQ9uj5kbHcrUXsBqioubJy79aL//sXoXXaK5jtD1qbnR2tWBCpV8ilcLaAeBTVXVN8u/v\nAt4F4Ha7bx8cHHzpF6nRrAOzIfj7nztDMm/m8K+nF4QQzVd7TRtlLXu8/Bxtk5prgju743zmp4cx\nfpZ12eOudslWYxhGI/AN4D1CiBfqPeeOO+4QzzzzzEu7MI1mI8TOwfCnMO785AkhxB1XezmbZT32\nCNomNdcAZz+KcdP71mWPuzrppxpRaVz8XeDHrvZaNJoNET4Gp34HhADfINzxF1d7RVtG26PmmkUI\neO4DsPB05feDv77ul+5qwTQMo/nynSyGYTiB1wLnru6qNJoNED4G330AzvwhjP3N1V7NltD2qLnm\nEQJO/AoMfRj+/SehuOoEtSvY7THMduCLl+MmJuDvhRC7ajiyRrMiUiyLCeh9M/T+zNVe0VbR9qi5\ndpFieeHPwWSDlz8Clo0NR9rVgimEOE1l7IxGsyGKxSILCwsEg0EslqtwmdeK5Sv+Gky72tzWRNuj\n5pqlVixf9XXofN2GD3NtW7DmuqVcLpNOp3G5XJhM64scFItF5ufncblcpNNpQqEQAG1tbTu51Pok\nhqGYvG7EUqOBzdnlrqCch9iZLYklaMHU7FLS6TTxeBwAj8ez6nOlEcfjcS5evIjFYmFwcJCWlhaK\nxSLZbJZoNEpTUxP5fH5njb2Yqrh59rwD3N3Q/Cotlprrho3Y5a5ACChlwOKCV38Tlp6F5qObPpy2\nZM2uxOVyLftvNbV3udKIXS4X7e3tFItFLBYLFouFmZkZIpEIxWKRVCqF0+kEdsjYw8fg+2+o7Cjb\nfxRa79/+c2g0V5HV7HLXIQSc/FVY+AHc/x2w+bYklqAFU7NLMZlMK4pa7V1utRF7vV6SyUozmqam\nJsrlMjabjXw+TzAYVDvMbac6Zjn+1YpgajTXGavZ5a5CiuX5T1TcsEvPQut9Wz6sFkzNNUftXW49\nI56bm6O1tRWv10s8Hsfr9WKz2bDZbNu/oNoEn7s+t/3n0Gg066NWLF/1tW0RS9CCqbkGqRbIcrms\ndpQej+eK2OSOu5BiQ9ddNqxGc03z/O8tF8vOB7ft0NdQmpNGcyXpdJrZ2VlGRkZIJpOUy5Xh8a2t\nrUpA6wnpttGwr+J+1WKp0ewOet4Ezs5tF0vQO0zNNcBqqewul4uGhgb1ezqdJplM4vV6dzbtffGH\n4OoBZysc/SpgaLHUaK4WQsDMt6DjJ6DxMLz+Ipgd234avcPU7HqSySSzs7PK9VqNyWSira2Nzs5O\nlQDk8Xgol8tqt7nthI/B4z8Cj98PuUUwWbVYajRXCxmzfOLBijsWdkQsQQumZhcj45NrCV+121X+\nJJNJ0un09i+qOsHHfzNYfdt/Do1Gsz5qE3wCd+3o6bRganYt6XSaaDRKOp1WMcn14HA4MJlMOBzb\nfJd5Hba702h2ivXe8G6aetmw2xyzrEULpmbX4nK5sFgslMtltXNcD9lslnK5TDab3b7FiDL88N1a\nLDWadSLrpaWnZ9sFdOGpl1QsQSf9aHYxJpOJlpYWlfCzXmw2G5lMhmAwuH2LMUxw7zfh/J/DrR/R\nYqnRrEFtSde2t9VrPgp3/i9wdb4kYgl6h6nZ5WymLCQSiRCLxYhEIltfQPhYZcqBKIOnD27/mBZL\njWYd1Nqu7MS1pZpoIeDZ34S571V+3/ful0wsQe8wNbuYzU5GkDvLLe8wq2OWjUdg7y9u7XgazXXE\nRu1zy231qkd0XfocvH600h/2JUTvMDW7ltoYSDWrxUMsFgttbW1bm4NZm+DT/3ObP5ZGcx2ymn1u\nO7XzLF/x1y+5WIIWTM0uRdZRVjdXr0Zm0M7Pz29/Fp7OhtVo1mTHstFr2abhz9uBFkzNrkR27Fkp\nO1Zm0BaLxe2/w81MQymtxVKjWYUdyUavhyhCauyqiyXoGKZml7JW0/TNZtCuSiEOVi/0/Gdw/nul\nCFqLpeYGRghR9zHDMNRsWafTqR7b5pNXvDxWL7zyH2DpJATv3t5zbBC9w9TsemS8MplM8oMf/EDt\nKLe1sXr4GPxzP0x+vfJ78z1aLDWay5TLZVKpFOVymWKxyMjICP/2b/8GsDM9m6Ub9rFXQnYBzLar\nLpagd5iaXUg+n+fcuXN4vV6CwSDFYpGxsTFCoRBnzpyhXC5z9913E41GCYfDNDc309jYuHnDrY5Z\nTv4TdD+0vW9Io7mGkfZXLBbp7OwknU7z+OOPMz4+jsVi4b777tveE9bGLKOnoe0123uOTaIFcxvZ\nbBmE5kXK5TKnTp3i+PHj3H777QCMjIwQiUQIBoP4/X4CgQATExM8+eSTRCIRbr75Zm677bbNpazX\nJvjc/cg2vyON5tpmdnaWZ555ho6ODtrb23E4HNx///2MjY1x5513bu/J6iX47BKxBC2Y28q2d7LY\nRq4VMU+n04TDYeLxOFNTU5w7d45oNEqxWGRqagq73c7w8DCLi4tcuHCB5uZmmpubNxfHjF/Q2bAa\nzSoIIUgkEsRiMfbt26cGG7S3tzMwMLD9J3zhQ7siG3Yl9LfDNrJWosrV5FoQc4fDQT6fp7u7G6vV\nysTEBOl0mo6ODtLpNM8//zwAuVwOs9mMy+Xi1ltvVYa8YRoGKgk+pYwWS42mDoZh0NDQQHt7u2oE\nIku9tj3JB6DvrTD6Jbj9E7tOLEEL5ray5U4WO8hmxHw7dqVrHaNcLjM/P082myUajaraymQyycTE\nBDMzM9x+++10dnZiMpnIZDKUy2X279+P2+2mv79/42tbOA7ONnD3wss/X2l7p8VSo1FU221HRwc2\nmw2Hw7Ezw9mFqCTbdT9UuYl93VAlyWcXsmu/JQzD6Aa+BLQCAvisEOITV3dV1y6bEfPt2JWudYxk\nMkk4HGZkZASAaDTK1NQUFouFsbExpqenyefz9Pf3UyqVaG1tZXBwkFtuuYVQKEQikVBGvC5kzNIe\nhB99qiKcxu51Ue8mtE3eOFTbrdvtprW1FSEEFotlez1o1THLA78Ct39814ol7GLBBIrArwshThqG\n0QCcMAzjMSHE0NVe2LXAduwOt8PFvNYx8vk8zzzzDKFQiGKxSFtbG16vl6mpKVXr1draSrlcVu6h\nYrHI6dOnEULg8/no7u5e32KqE3w6X1cRTc1G0DZ5g1Btt0II9V2yY2JpskHbf9q+Y+8Qu1YwhRCz\nwOzlfycMwzgLdALaONfBduwOt8PFvNoxyuUyExMTLC0tMT09jdPpJJ/P09bWRlNTE+Vymd7eXvbs\n2YPFYmF+fh673U4sFqO7u5v29vb1D5bW7e62jLbJGwdptzLpZ25ujtbWVhoaGrbnBLuo3d1GuCa+\nMQzD6ANuBY7X+du7gHcB9PT0vKTr2mm2skvcjQlI+Xye8fFx/H4/NpuNYrHI4uIiuVyOYDBIS0sL\npVKJWCzGzMwMdrsdh8PB0tKSSjJoamriyJEjdHZ2rj+WIgSceK8Wy23kRrXJ64mVvl+qH9+RxB6A\nyAkY/uQ1JZZwDQimYRge4GvArwgh4rV/F0J8FvgswB133HFlH6drmM3sEqsv9tV2dttZYlJ9PLlu\neezqqSJjY2NcvHgRs9mM3+8HYHR0lHA4TCaT4e6776ZYLPLEE08wNTWF3++no6MDr9dLqVQimUzi\n8Xjw+/0bSzwwDHj1P8O5P4Ob/0iL5Ra5kW3yWqReeztY+fulNn4pu2lt68134I7KjavVd82IJexy\nwTQMw0rFML8ihPj61V7PS81mdonrEdntLjGpPh6w7NjpdJq5uTlSqRRWq5W2tjaWlpYYHh7GbrfT\n1NREb28vly5dYnJyEpvNRiaTobGxEZvNRiwWw2az0dLSovrHSoFec+3hYzDyv+HOT4OzHW79ky2/\n1xudG90mrydW+n6pftwwDAzD2J7sfyHgufdDy6srQ5/73rr1Y77E7FrBNCq+gC8AZ4UQH7va67ka\nbCaGKC92mQJebxe53e5aeS457qf2HM3NzdjtdkwmE83NzZw4cQKXy0W5XObw4cPY7XZmZmY4d+4c\nhw8f5siRI1gsFmZnZykUCjQ3N3PTTTdRKBTo6+vDZrOtvfbqmKX/Ftj/y9vyXm9ktE1eX8hd41pl\nX9vijaqOWQ7/JfzUGNibNn+8q8SuFUzgKPB24HnDMJ67/NgHhBDfuopr2vVIkU0mkyvuItdKxNmo\ngVSP+fF4PHg8HsrlMvF4XB0vFoupxIFsNkupVCIajXL69GlCoRDhcJhCocDc3ByHDh3C5XJRLBYx\nDINftLqRAAAgAElEQVSOjg66u7tVSvua66pN8Bl417reh2ZNtE1eo8hMV4fDQTabVbvHet6m1TxG\nmzz58gSfo1+9JsUSdrFgCiH+A9ihiPPG2eqd1k61plvpuJvdRa7lrq13vtpzlctlQqEQoVAIqIz/\nmZyc5MKFC2QyGTo6OpSAnjt3jkgkQlNTExaLBYvFwszMDC6Xiz179uD3++nr61N3wzIuuuJnqbNh\nd4zdZpOatZG2Uj3xRw5crx7OLstH5L/lAPcte6Ou0WzYldDfJOtkq3G/nWpNt9JxV9pFriXcaxnI\nWu+jWCwyPj5OOp0mkUjgdDpVwk4qlWJpaYn29naKxSImk4l0Oo3f76enp4f+/n4SiQRLS0sIIXC7\n3bS1tVEsFsnn8+p9SeOvu4ZCDMp5LZaaG4bVbFraq8fjwev1LtthwvLvCSmYMjNWeoTW3RSkHqIM\nuYXrQixBC+a62eqd1k6VeWzkuLINXbFYVK+pNbS14hrVd5/lclk1Y56dncXtdpPJZIhEIhQKBdLp\nNPPz8+TzecrlMn6/n1wux+TkJPl8Ho/HQzweJxaLcenSJYLBIO3t7fT19VEoFNi/fz/JZJKmpiZ1\njGrjX/aec5GKm6fjx+BHn4TGm7VYam4IVruJrf5+kLb8krTvFAIKUbD54RVfgoO/Bk237/x5dxjd\nE2ydrDasuLp0YjOv3651rbWOdDpNsVhUsUApdHK3Vv28eDyuBjXXHrf2deVymXA4zMWLF5VYmkwm\nCoUCU1NTyj07NDTEd7/7XU6fPk0qlUIIwZ49e7Db7ZRKJVwuFxaLBZPJhNvtZm5ujnw+TyQSUWUy\nXq9XxUnVZxk+Bt/cC6N/Xfm96XYtlprrGiEEQgh14yrdq/Jx+WMYBm63+4o6S2nPtc8vlUrMzc3h\ncDhob2/fnLhKN+x3Xg7paTCZrwuxBL3D3BY24m7dyTFba63D4XBgsVgIBoOrnrt211qbBJBIJEgk\nEkDFBZtOp7Hb7SSTSUwmE06nk4WFBebn58lkMiSTSUqlEhMTE2SzWfbt20c4HCYSidDf38+dd96J\nEEKVoch1ms1mJb6yjOSK91Uds5z9DvS9rVJ3qdFc5wghlMeosbGxbpOB6rZ20ualPUsPUXWDgvHx\ncZaWlgBobW3dzKKWxyxjQ+Dq3Pyb3GVowdwG6pVyAHWFcSfHbFULXT1hzmazFItF5ufn1R2pHAi7\nUglK7XEB2tvbMZlMTE9PMzk5SWdn57K6SYfDgc1mw263c+jQIWZnZzlz5gxLS0uUy2UmJye57bbb\nKJfL7N27F7vdTqFQYGJiAp/Ph8/nU59nU1MTkUgEh8Nx5Ru+YvjzX2mx1Fx3rHSTnU6nyefzFAqF\n+vZB/e+b6uS8auEsl8tYrVb8fr8a5bUh6iX4tL9248fZxWiX7DYg3aLZbFa5MmvdmhKXy3Vl/I0X\n3STFYnFN927186ufV+2erXabyufKnZvsDSnLQKrXDVe6ZKvjmlAxvEAggMfjwel0kslkaG1tZWJi\ngkuXLjE+Ps7CwgJzc3MYhqFqJ1taWmhqasLv9yvDHB8fZ3FxUe1EpWC63W5sNhsLCwsUi0Wy2ezy\nDyA5orNhNdct1fa92neJvDG9wj5AuWyrs2EBFfKQIQ5ACafNZqO3txez2bzxRQ99+LrJhl2J6+ob\nplQqXdXz1yuvKBaLKlHFZDKtmL2aTCaZm5vD7Xarx1bLcq2XKVo9iLlaTNPpNNFoVLljq3fE0WhU\n7S6LxSKRSES5P+VjoVCIVCqF0+mkWCwyOzvLxMQEjY2NpFIpEokE8Xic8+fPE4vFKBaLjI2NMTMz\nw/T0NPfeey/t7e2EQiHS6TTJZJJcLkdPTw9Wq5VcLkcul2NwcJDOzk48Hg8jIyOk02kCgQB+v//K\npCZ3P+z9BcjOabHUXHdU7wxXSuwzDIOWlpZlbSmrXbDS1lZqIynjm0IItcMsFossLCzQ0tKy8T6y\n/e+Asa/ALR+5LsUSrjPBvNrUiqHJZGJubq7u36qpvpuUiS9rlXVI90y1K0b+TR5LThaw2Wzkcjkl\nqPJ1CwsLzMzMkE6nVanH6Ogo6XSaAwcOqFKQ4eFhlpaW6O/vp6urixMnThCJRDh8+DCNjY1KpKVw\nnj17FiEEkUiETCZDLBYjk8mQz+fVztfpdBIMBjl48CCnTp1CCEFzc7P6PKAi6D6fT7XFA2DhB2Br\nAu9+uO3jl4c/b+JuWKPZxdRmt9Z+d0gxq21bl0ql1hRaSbW4SuGUiYHraj1ZOQiMfxV6fgZcXfDj\np67rm9fr6p1tyo2wgzgcDtxu95pz5OSO0efzKRdJ9e5RioW8A5RUd9eR56stw5DFysViEafTCVSG\nNGcyGYrFokoAklmz5XKZTCbDxMQE6XQaIQQ2m42lpSUcDgd+v1+N3pqdnWV2dpa2tjbuu+8+7r33\nXv71X/+ViYkJQqEQuVwOt9vNwsIC6XSanp4e+vr6VELP7OysSuSJRqMsLCwQiUS45ZZbaGtrUy5k\nhYxZWhvgR38A7m4wdtf/c41mO9jsaL21hLYaeYMtQx5yYlD1jnVVhICTvwrnPwFz34WXf+66Fku4\nzgRzq2x3BquMK8gsz+pkIFlA7HA4VBG/FC/pnpWv9Xg8qiFANpsll8vR0tKiCpGlS1U2C7DZbOTz\neRobG4HKWK1UKkVraysul4twOEw2myWRSNDa2ko6nWZkZASn00ljYyMej4eOjg5OnTqlBLGxsZF8\nPk+xWFRGODQ0xPj4OPPz87jdbmZnZ8nn86pEpKGhgb6+PjXG6/Dhw/T19TE7O0sul2NkZATDMGhs\nbFyWqDQ2NrYsQ89kMuHJPL98+LOzfcv/fzSanWCl8VjbOSprpe+qeiIpS0aq1ySEUDfQ8XhcdeVq\na2tb/85SiqXJBl0/tW3vbTdzQwjmeoWwNm6wXvFcqz1duVxeFiuMRqNEo1E1tqq66410l0rBkMdY\nWFhgaWlJ7bgSiYT6t9wZyiYAsViMZDJJY2MjTqeTRCKhOuVks1nsdjvFYlGJ7djYGOPj48o1Y7PZ\nmJ+f5/DhwxiGQW9vr3L1yLRzv9/PnXfeSUtLCzMzMxw/fpxz584hhMDv96tB0ADhcBin06niIqlU\nCr/fT2dnJ/v372f//v1qKsnMzIxqdtDa2lpptJ4+Bd/7cZ3go9lxtuOmuXY81nZT24BkPQInb8Ll\nwPV0Oo3T6VT2nkqlsNlsKmN2VWrF8lVfq0wfuQG47r91qi+u6rqjtconNlL+sZrQykbkMgW8XC6r\nJJd4PI7X66VcLqv4XW19lAzG22w2fD4f3d3d5PN54vE4S0tL5PN5LBYL5XKZVCqlGptns1my2awS\nqkwmA6CMTN5dlstlEokE2WwWwzCw2WwkEgmSySRdXV2EQiFMJhNerxen08kLL7zA1NQUTU1NDA4O\n8vKXv5yRkRGeeuopWlpacLvd9Pb2cvbsWdW0wG63c+TIEdxuN06nUyX3lEolGhsbSSaTZDIZzGYz\nfX19jI+P09jYWPl/JATGqQ9osdS8JGyml3IttbHDerWQ62G1cpLqBiQboVZsHQ4Hk5OTygtks9nW\nFuDo8zD86RtOLOEGEMzqiwtW77xf7c5YK2BefTGvJLQ2m03VKcqM00QiQXNzMw0NDarGUDYdrxbI\n2pmScsiybCknRSaVSqk5kc3NzRQKBSYnJ+nq6iKXy5FKpWhubsZmswGV3d7S0hILCwt4PB66urrI\nZrMIIVQcUQpuKpVibm6OxcVFAoEAc3Nz+Hw+AoEAFouFS5cu8eSTT1IoFJiensbv96sJCK2trTQ3\nN9PS0kJDQwMDAwNq+ojJZCKbzbJ3717C4TDhcBiv10tPTw/ZbJbe3l58Ph8mk4l4IgG3fwnP5Ofh\nyO9psdTsKFvtpQwvZp9u5DX1xHGl19Vrd7fWMau7gcnvQ6fTqb4PfD6fCtmsif9l8Mp/qOQP3EBi\nCTeAYNb2Pq2tSZLUXrDrDZgDy0ZaVZ9jdHSUCxcuEA6H6erqUse1WCw0NVXG2wSDQRYWFrBYLMzP\nz6uCYRnnlMesNcBisYjb7VZp4Pl8Xrk0Z2dnlVjNz88TDodVe6zW1lYikQg/+MEPaGxspFgsEggE\nVIzy/Pnzy9y7sln6Cy+8wMTEBC0tLfzUT/0U5XKZ48ePMzQ0RDgcxmw2q/ir/EycTif33HOP+myn\npqY4cOAAw8PD+Hw+YrEY2WyWs2fP0tXVRSAQIBqN0tLSQptlFE5/kvSeP8bh7YSbP7Rt14RGsxJr\n2f1mekKv1VAEVm8wUNtYZLU1ygbqtcesvrGX3bgMw1DfNzJ/YkUBFgKefR803Ql9b75hYpa1XHeC\nWU/4qss7ZJKLw+FYVogvaxWTyeTyMoYVqNeEvLbuqbu7m1QqhcvlIpfL0d3drRJ1qlvNlctlpqen\nWVpaUjvCfD7P6OgodrudTCZDc3MzFotFxRcXFhawWq3EYjEAZmdnKZVKmM1m8vk8S0tLBINBkskk\n8/Pz9Pf3EwwGmZ+fJxQKIYSgWCwSDofVe7DZbESjUYQQFAoFlpaWSCQSKsv1woULzM7O4nA42Lt3\nL8lkUom/dAWnUilyuRxtbW20trbidDqZnZ1lZGQEl8uF1WpVu9CzZ88ClbhqKBTiwoULuFwuup1T\nmJ5/GxQTOK37yXp/46VpGK3RrMF6sldrk3uqSz9WmlNbT4jXM9u2mtpko+pjyjVVC6oQQmXHygTE\nuq7j6pil2Qmt94NzE23zrgOuO8GsF0+sTqIBVK2i7IdaXVYhO+2sFuusN1uuuiZSXqg2m43Dhw8T\nCoVIJBJKoC9dukQikaChoYHm5mZSqRQ+n49yuYxhGMzNzamsWKfTidVqVTvMoaEhzpw5Q7lcpr+/\nn0AggMlkUl09MpkM8XicF154AavVSiaTYWZmRrmkn3zyScbHxymVSuzduxer1cqZM2cYGhpSbppM\nJkM4HKZYLFIoFJQASxE9fvw4w8PDpFIplYlbKpVUwk9zczNNTU3Y7XbOnDnD8PAwHR0dqh40nU6r\nNnrlchmn04nP58MwDFrNIwSf/+9QTCB6fgbzwV/dcJxGo9mtrLRDrSfE1Y1I6r2mltqbfima1SJa\n2xe6um67dlYmcGWCzyv//oYVS7gOBbP6gqzODJP1jXI36HA4rogFyBqk2hhiLclkkpGREex2O36/\nH2CZSNcKqcvlIpVKkU6nCYVCjI+PEwgE6OjoIJvNMjc3RywWw+fzkcvlCIfDyqVqtVqVWBWLRXK5\nHIuLi6RSKXp7e4nFYgQCAbLZLJ2dnczPz2M2m8nlcoyNjXHw4EGam5uxWq3MzMwwNzdHNBrF5XIx\nMTFBLBYjGo0yNzenUs1NJhPRaJRCoUAwGFTi53A4MJlM2Gw2JcZCCKxWK6lUikgkotzRPp+PUCjE\niRMn1FSS3t5eVW86OzuLYRjK7dvc3Iwj8SwDS3+IUU5R6HgY891fwmOx7ewFo9kV7ORQgt20ltWE\ncat9p+V3Tz6fJxQKLdvVQiVjV7p3HQ4HhmGoDYIMK1XPyryRs2FX4roTzNoLUt451WtNVzsYtTqr\nVQpdbQs6eUHLlGyXy6VcGTabjVAoxMzMjLrw3G43DQ0NKqAu3Z/BYJBisahiiLIRQCAQACrZrC0t\nLRSLRc6dO8fU1BSHDh3CbrfT1dXF4uIisViMUqnEyMgICwsLTE9PYzKZaG9vJ51Ok8lkSCQSdHd3\nUy6XmZmZIZlMsrCwQCwWY2FhgWg0SjAYpLOzk4sXL5JKpcjn87hcLiWSUijNZjMWi4WGhgba29uV\nq0h+PoVCgcXFRRWnbW1tZXBwELPZzJEjRzh//jyhUIj+/n7S6TRWq5Xe3l4cDgcHDx6kyzaCMVom\n1vgTzHd8iPZsHo9HC+aNwE4OJdita5Hu0doyFOk+rRa3eq+tra00DIPm5mbm5uYIhUK43W7a29tV\n72ohxLLezG63m2w2y/z8PBaLBZ/PV/N+BZRyWiyruO4EsxrZZm5DrZ5YLrrVTQRkZ52mpiY6OzuX\nuWZTqZQq0ZCuVxlIl/1VpauksbGRaDTKM888o3aKPT095HI5oBLTm5ycVL/n83ny+Txzc3O0t7dz\n8OBB1UB5aGiIhoYGTp06xcLCAoFAQDU7j0QihEIhFc9saWlhcXGRS5cuEQ6H8Xg8NDQ0YLPZyGaz\nZDIZ1YTA6XRis9mUIZfLZex2O/l8Hp/Ph91up6WlhUQiQS6XUxNLDMNgenoas9lMZ2enGhr95JNP\nEgqFyGQyeDwe9Rm43W76O9yYzWZ+OO4k2/tFLIHDBIKty+LDmuubzSTT7BQbWct6dqNrPWel82Wz\n2Su6eVVTzwUrzycTBWWynxwFJpMDpchWJ/2o2KsQkFsARzPc+SnY9/+A/+Y1P4sbgetKMEulEtFo\ndNn0ELvdvuF6pdqSkdbWVjUkWSbm9Pf3K8HMZDKMjo7yspe9jIaGBux2OwsLC+pY4XCYiYkJVfso\nO/fY7XbMZjPlclm1gSuVSqqHquyc09LSQjgc5tSpU4yPj9Pf3097eztPP/00IyMjWK1WAKxWK3v3\n7mVwcJDvfe97DA8PMzY2Rj6fp6mpCYfDgdPpJJvNYrFYiMVi5HI5RkdHyWQyXLp0iWw2Sz6fVx2D\nCoUCTU1NWCwWMpkMNpuNqakp4vG46iBkGAblcln1jg0Gg5jNZsbGxpifn1dibLVaVebv3NxcpZXh\nwjF+tP3bXJj7OU4tHuEFI0hDbByrrSLYm20Rprm22E3/nzeylvXsRje7Y11LuB0Ox7Ie0W63W5Wa\nWSyWZU3XZWa9nBokxbF6whHw4oiuqW/Af/oeePZosaziuhLMQqHA0NAQgUCA9vZK6zSv17tst7ie\nuERt4pB8vnRRWq1WFeuUWadLS0vMzMyoUo9IJEKpVCKXy5FMJnE6nTQ3N5PNZnnhhRfwer20trZi\ntVqZmprizJkzFItFSqUSbreb5557jvHxcZqbm2lvb+fZZ5/lwoULNDc3K3fq6Ogok5OTlMtl/H6/\nmuoxMTHB/Pw8ly5dqtQyxuPkcjn6+/vp7Owkk8mQy+UYHh4GXsyWA/D5fLhcLnVjYLVaWVxcVK5Y\n+XnMzMzQ0NCA1+slmUxiNpvJZrNYrVacTicWi0W5YDs6OggEAsqA5a70QCDCLw3+C1aKNGRP09f7\nILF4nDNnzhAMBhkcHNwVOw7N9cd2xSmrRU2WeAWDwWU9kOtl1FdTbzIJXFnPWY20WbkhcDqdCCFU\ngqPMo5CJhPUyZq84t9NJ8en3YBv9TMUNGx+uCKZGcV0Jpslkwu/3qykd1SUeMt5WnfRTHeCu7u9q\nsVhIpVJqNyQvKIvFwuDgIPl8HpPJxHPPPYfJZKKjo4OWlha6urqYmZkhGo2SSqXUrk7G+FKpFJcu\nXVK70YGBAYaGhrhw4YLabcpxYJcuXWJxcZFDhw6p8g3pSpHlK0IIUqmU2sV5vV7OnDnD7Owsly5d\nwufzqeScdDpNNpslGo2SSCQoFArE43EKhYLK1pXdfWZnZ4FKM3uz2aw+t2KxiNVqJZ/PE4vFsFgs\nFAoFcrmcavVXLBaJRqPk83kikQipVAohBE1NTbjdbpaWlsjlcjQbF3nP4WO4rEWeXRrktPvnOdLW\nRqPfr7Jt15oJqtFslu2KU1aLmpz+A6i2kIDKnYjH43V3r5txRxuGoTxWMlFPnkt6gzKZDBaLRU0i\nqX7tFeeuEkthsmG86uvQ8cC613OjsGnBNCqf+nuEEH++jevZEmazme7u7mUXXrlcVq3k5J2eFAR4\nsS5TlnkUi0W1Q+vp6WH//v2YTCYVRJcX++nTpzlz5gx2u509e/bQ2tqKyWRSrtauri66urpUYb/N\nZmNiYoJMJoPD4cBms3HhwgUWFxeVOzYajbK4uEg2m2VkZAS/34/X61Wu0Uwmw9mzZ/F4PBQKBUql\nkjIU2QRACm6xWKSxsZFEIqEygsvlsupJK8tApEGZzWYMw2B4eFjtSGW2q+z6YxgGmUxGdeqR8dxc\nLkc+n8dsNuN2u1X5yfz8PDabTcWRASYnJ0mFz/HnPzeEy1rm8YvN/J/YjzF4E8zNzdHQ0EBLSwvD\nw8Pk83m6u7t3jatut7MbbXK3shMx0+p44Grnq62XrBbdamFbC5nHUIvT6VRhJNldDJZPQKo+hsfj\ngaE/VWIpXvmPGNfpPMutsmnBFEIIwzDuNAzjLUDs8mPf2raVbQKz2XxFL9doNMrY2BjZbJZAIIDP\n52NyclJlw7rdbhKJhCptWFpaUj+ybVwoFFK1kJFIhPPnz+NwONQUj6WlJeLxOFNTU1y6dAmLxYLf\n7ycej/PDH/6QyclJtYMMBoPcdtttZLNZZmZmWFxcxOVyMT09TaFQACoXtty5GYZBPB5nfn5e7RRT\nqRSFQgGn06l2cR6Ph+npaZWwYxgG8/PzTE1NqbUmEgk1IFoeQ4pgQ0ODikHKFnYyvupyuVT7vHK5\nrB7P5XIsLCyoXaisGc3lcgghaGxsVD1yx8fH2bt3L42NjczMNPAPpzvo8ef46LFbsDvGiMaT2Gw2\nBgcHVetAi8VyRZcTzcrsRpu8mqzmdq2XTb8VF610ka40eLk2kbA6K1YIocRMfn9VZ+pLT1jtukql\nknIBy6EG8phut3vFbNm67Pk5mPg7jCO/r8VyFbbqkv1XwApceUt1laiNB0i3rNxphsNhlXXa3Ny8\nLOCdTqfx+/3s2bMHq9WKEILjx4+TSCRwu9309fVx4cIFpqenaWlp4eabbyaXy3Hq1CkuXrxIW1ub\n6tJz6tQp1b9VCMH58+exWq0kk0kaGhq4ePEiiUSCtrY2CoUCDodDtZdramqir6+PQqHAhQsXVGNk\nufOT5Sh+v59isUgqlWJ6elp1FGltbSUWi6mZli6Xi0QiQSwWU0Jss9kwm80IIcjn88zMzKjj2u12\nZViyK5BhGFitVhUvAVTjASlqsnF7Pp/H7Xbj9/vVoOp4PE6XY5IDvfsxjMN8a6qD6PNLmMwG+Xwe\nIQSDg4McPHiQlpYW7HY7zc3Nyv0MV7/c4Bph19nkVqgtnwDWLWybHaCwmetspQkl9UZ91e5u0+k0\nc3NzlMtl5Y2RdtTT06PeZ+1xFxYWmJqaUt3BZmdnyWQy7NmzR+UKVAuvnBcsd7EGwMhfQd/PgqMF\nHniasoC0vkFdka0K5nng7YALEMCXtryiKgzDeAR4EJgXQhxe6/m5XA6TyaQyNaVLwmQy0djYyMLC\nAk6nE4/Ho2oL5Q4KYGlpieHhYXK5HO3t7UrwZBzz+PHjKlYn2+fJVndyV9fY2Ehra6sSNtkiT86S\ntFqtHDt2jKGhIZqbm9UMykQigcvlYn5+nvn5eVWu4nK5aGtro6OjQ5WtyPrKWCymdpbRaJTGxkbs\ndjuTk5Mkk0kikYgyPpmw5PF4MIyKSFmtVjUXU+4aZZxUimIkEqFcLqubDpn9a7VaVWxG7lQBVXoi\nhFDTWPx+P/v8C/zhj7xASTzLI453cdYIkExWRgrJ18qkJbmbj8fjWCyWFfv/auqyYza5UXtci82M\n3YPVByhUsxG362ZdtLUi6HA4VDtM2S5zJSGV9eEyE192GrPb7SQSCaLRKF1dXWpMn3ydLGGz2Ww0\nNDSoKUgNDQ3quMFgkIaGBnVOWXcpu4E5HQ7Mz/06XPhzCP1fOPpVMEykU+trw3ejslXB/K9ACPgT\n4B1bX84V/BXwSdZp9Llcjscff1yJZblcZmRkBLPZTFNTk3JFytIKwzBYXFzE7/fjdDoZHx/n+eef\np1AocOjQIfbv34/L5aKvr08F9CcnJ2loaCAejzMxMUF7e7tqMh6NRonH40SjUWZmZiiVSvh8Pm6+\n+Wba2tp4/vnnmZmZYXp6Wrlis9ksTz/9NAsLC2qElxTFUqmE3W4nGo2qhJ1IJEIul1MzL202m6r7\njMfjquuOFMDqzwYqRiufL2Mb0hUshFBu7WQyic/no6GhgVQqpURXUigUsFgs5PN5NRZMprI3Njbi\n8/kIh8OYTCbu2lPiPYeHcJhLnFjYw1TEjM1mIxAI0NzczPz8PIuLiwwNDTExMcHhw4fp6OhQE0tW\nbQqtqWUnbfKv2IA9rsV6d3X1xGw9wraR8pCtlrWs1Pe13trljrL6dTKbX7pjE4kEjY2Ny5oOpFIp\nisUiY2NjauJIMBhUXcTkTbzM0q9t2ylL3IqFArapD2O+nA1b7n2r2lWuFGvV9ldhq4I5BziAMtC2\nxnM3jBDi3w3D6Fvv84vFIsPDwxSLRTweD4uLi2QyGXw+H06nk1KppFynsgm41+sll8sxPz/PxYsX\nKRaLKsNzYmICt9vNhQsXKJVKJJNJpqenAYhGo2o3KOMWhUKBqakpIpEIJ0+exGQyMTAwwJ133kk4\nHObEiRNqKolsTzc0NKRigbJRgLxQnU4noVCIVCpFMBhUQhqLxVS8QibTXP68VEu7ekjX62rIBuqy\nDZ9sfweo0pPqz1sarhT2QCCgXM+5XI6AuMB/u+kSDnORH84P8JlTd2O1Zejp6aG5uVll8snjzc3N\nEQgEaGtrw+l0rh530dRjx2xyo/YILxbRb6Rgv5ba8orqbjhrrHfF422WWhGpdRlXvycZyqhNzJE7\nyurnyXXJnWRnZ6caC1jdrlPaZrW4y9yKcDjMgQMHVL3l5OQk2WxW1WqaTCaKhQKB8Q9hm/oCwmSj\nfPQfyDTef8XkJVi5UfyNzFYF8ytAHng/ldjJS45hGO8C3gWoOyx5Z5XNZvH5fJRKJVV76Ha7Ve3g\n3NyccovKmZTSTSkzZ2V9oezUI4v65U5tbm5Odc2ZmJhQwmq1WlWJxbFjxzh16hSRSIS9e/cClR1f\nKBRifn6ejo4Ouru71WQR6b6V8y+TySShUEiVlgBqvdWCCaiYYu3j8jUriam8M4WKsMrPr/rzhEpi\nldVqpVQqUSgU1K40Ho+rLw2ZTFUoFPj5O2dwWYt8f6KLjx8/SDQ2hdfrZf/+/WqySTqdVglUmcLz\nbrQAACAASURBVEyG9vZ21aNX7y43zK6yyc7OzhW7bG1m8sdGqW0ft1XqddeRO+XqeGG9c8nH5I16\nPUE3DAMhhBrBJYcpeDweNSi+utmALPEKhUJEIhFcLhcDAwOkUinsdrtywY6NjREIBAjaFnDNfgVh\nshE59Dns/tes2IJvN3Vf2i1sVTD7Lmfh/XfDMF6/HQvaKEKIzwKfBRgYGBDd3d3YbDYWFxdVw3JZ\nPuH3+wkEAjgcDjWncnFxEbvdTjweZ2lpicXFRTXJ5Ny5c9x8880IIRgaGlJNC2TauNwZyuQXmdUq\nY3gWi4Vz586p5Jt4PM7Q0JB6fjQaBSCTyeB2u5UgV1NdAC13dOv4TOoaY7lcXvGue73p7LIcpfoL\nQbp7DcMgEokAFZetx+Phfd/o4pdeU+Afzw6wFF1QiQdDQ0PKdb537156e3ux2WyqYUEikVAxTc2G\n2FU2edttt4mr+f9wpRjiZpHhCtlus7qheXXf6eps/Y0KtRzcLvtPy1wGeS45ks/r9TI3N0ckEsHh\ncNDV1YXf71fJPl6vl7a2Nubn51laWqp8B/a+Alz/H+VCmoLtLnyXa8/z+Tzj4+P09vaq75zd1H1p\nt7CVOszXAW+5fDEYwFuBb27TujaFrAWMxWIkEgmEEORyOaanp9U8RsMwCAQChEIhlTWbTCbVnSJU\ndlaysfnTTz9NPB7n1KlTNDc309bWRjabJRKJqCkfU1NTqsxD7mZlgb+MJ5ZKJeUqkbszidxJbqQG\n62pSr6GATKxqbm6mzTzKex+Y4799OYvJ1MK/jN9KqZxc9p6lezedTqsvALfbzb59+0in0wwNDZHP\n57nrrrtesvd1rbMbbXInPQTribHVukirG5TUe91ax6yeaiSPLXu+yiRAKZb1xgzWO291eYj09ITD\nYTWFSK5JvkbeNDudTgKBABMTEwSDQXXckZERnE4nnZ2dlfwNvx/j5K9hCd5Mtv09uNt+hFQiQWx2\nlnK5TEtLi6qddrvdy5ouaJazlR1mEMgAzVTiJf9jW1a0BYQQnDp1ShXV9/b2qv6K6XSaxcVFmpqa\nOH/+PKVSSSX/LCwsqPiBdIMkk0kmJyeXZZAuLS2pO7F8Pk+hUFAXM6Cy14QQuFwuotHoFeIi6xmv\ndaxW6zIBNJvNOJ1ObuvJ8amH0zQ44ZmRBF/4QSUOK91HcvRQIBBg79696svB4XAQDAbp6elRNyXy\ni0nf5a6bXWeTO9lAfz1JQ9UxxFQqtWz+o3ydtEfZoFwK0krHrJ5qJDuCQf2kJCmW8gZbzo+V9ZeG\nYSzrECRLqVKplCqJA5SdwIseqUwmo8b6yVDJ4uKiymB3OByIcpnMk++mPf53lBP/RPmmt1IqOZQX\nTdZwy+/Kek0XNC+ylcYFXwS+uI1ruQLDML4K3AcEDcOYAn5PCPGFlZ6fTqd55plnKBaLOBwOVVso\nY31yTqR0nQQCAZXtKoRQJQ7S3SLdrXLA8dzcnGpiLDNDZf/XalwuF5lMZllWqURmwtXi9/uVO6ea\nQCCgXLe1BINBFhcXr3hcltDU4nQ6WVpaqnss2UKvFrPZXDfuKbsMlUolFVsdaAzzqf+cocEBXz9h\n47P/4SWZinH27FmKxSIul4v+/n66u7vZv38/Pp+PZDLJ1NSUaogwOTmJy+Vi//79agq8Zn3stE1u\n1B6hcp3s1E3PWjG2WldodenHsrmPl5G2LeP2awl9rbu3tgFB9Xnn5ubIZrMUCoVlu12n03nFxBCX\ny6U+LymS5XKZxcVFfD7fsmxY2aKyt7dXhUNMJhNWq5X5uTkC4x/CP//XlLAw1fcxOpwdLF4e8SWH\n1ktPW3d397IQkOZKtuKSfZ8Q4n9eDvC/HjgjhPjN7VsaCCHespHn5/N5xsbGVJwxFAqpwnuZDCMF\n0ePxEAqFaGpqIplMUiqVCIfDJBIJdTFKV6osq6hZG6VS6QqxlH9baRe5UhyxnvACqp6zHjIZab2P\n53K5uueoXls91toRF4tFXrEPvv6eIg0O+IenzfzOt7txeyCTLag7fLvdrrLw5BxPGc+dmZnBbDYT\nDoeZnZ1lYGCAhoaGFUcbaa5kp21yo/YIL3bf2gk2GmOrfn6918l1ymxtuHJmbr3n1zYgAFRNJFTE\nVO7gZHmbvGmXz5HHkGVpsuuWbEIgByzImZXJZFJ50gDVpnJycpLOzk4ii4uYT/069ujfUTasPO/7\nPeyN96vvOLfbTXNzMyaTibm5OUZGRgBUUqKmPlu5nei6/N87hRAPGoZx1ftXysGoMrtTll/I7jYW\ni0VdrLLLf7lcVvHFWmGormPSrE46W6RUhq89Y+WX/tpFU8BEPB5VXYzkMOx8Pq/mYF68eFE1X/D7\n/Rw4cIDBwUG6u7sJBoO6pGTj7DqbvFpZztWxSFi9O1B1Jq1slbkeZC9XWSMpJ4XI3Wm1h8RkMtHa\n2koikVDZ+R6Ph6mpKT7xiU/w6KOPEolErijdestb3sIb3vAGDh06pJLgyuUyHo8Hu93OP/3TP/G1\nr32NAwcOsH//fgYHB1VpSgkrZazMH/gMTcHXKjdtKpVSTRW8Xi+9vb2qwYpmdbYimM2GYTxApe5r\nq8faFrLZLFNTU7hcLjWNQ5aDSKSbJpfLqexOuLqiKIRQGbDS2OTjhUKBQqHAHXfcodplyYbN0n0j\nW+KdPn1alZ28VLQ3wmwUTozCy38XZuImXO5Ks/hUKkWpVFJt+EwmEzabjba2Ng4ePMjs7CyGYXDg\nwAGcTic9PT0cPHgQIYTaieqblQ2x62zypaK2HrK2O1B1KYi8pqSo1ma3yt6rFouFS5cu0d3drVpl\nytmvcoiCTMqRr5eNPqanp1XopbW1lVKpRCQSwWKxEI/Hicfj/O3f/i2f+9zniMVivP71r2ffvn3L\nmhiMjY3x0Y9+lG9/+9v8l//yX/jN3/xNRkdHyefzHD9+nC9+8YucPHmSQCDAE088obxHdx7upLnn\nZrq7u3jly36Dm6134bj8XefxeFS2rWxzaTKZ2LNHj/FaD1sxqD8CfhT448u/f2fry9k6coe5Uqzu\naiENWk72KJfL3HLLLUxMTBAOh5fFNQ3DUF125I80YpvNpo5V/TM9PU0mk6FQKHD//ffzne98R00g\n2SnuHhB8+/3w4W/CZ57wMRnNYbfbsdlsWK1WleBgs9nIZrMqXjMwMEA0GuXQoUPYbDYOHTrE0NAQ\ni4uLzM/PEwgECIfDqi2eZt3sSpt8qag3V1L+t7oURF5T8vly5ylDNvJGdHR0lIsXLwIsExRZGyld\nqlLkHA6HKumQddqJRAKv10skEuHUqVP09vbyta99jc997nMsLCzwkz/5k/z+7/8+N99cGdIsazAl\n73jHO/jlX/5l/uzP/oxjx47x4z/+4zz66KM888wz7Nmzh0ceeYSf/dmfpVAocPLECVznfpu9lh/y\n2j/5Ht/6Vpq/BMzmP+GjH/0oP/3TP626/TidTjo6OlSZl2Z9bCXpZwgYqvr9n7dlRVvAMAwVtHY4\nHHWTVdxu9xVuD6jEKuol40AlGF99typpa2tTgfZqenp6VJeNbDZLT08Pw8PDyjUsn+P3+7nlllvo\n6emhtbWVvr4+uru7aW9vx2q1Aqg72Xrk8/llLsvz58/zxS9+kS9/+ctkMhlVNO7z+TCbzfh8PkZH\nR+sey2az1b3JqG2xJ7l7QPCt3xB4nfCybigUcmqep5xW4nA41JeGy+VS7h85VDsYDLJv3z5cLhf7\n9u3D7XYzMDCgalF1ws/G2I02+VJSLZIyO1beMNaWglQ/XybPlMtlNaYPUC7KWleldHnabDYWLifQ\nyHDP7Ows6XRatX10uVzk83kee+wx/uZv/oZTp06xuLjIPffcwze/+U1e/vKXr/qeDhw4wGOPPcaX\nv/xlfuu3fosPfvCDdHV18fnPf563v/3t6nvCarHwStc/Ynj+g0LZRNBZ+Z4JBAL09/fT3t5OKpVS\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Zp6ioiNraWtH3VBawarWaL7/8kiVLlvDjjz+iUqlo3749nTp14pZbbqFTp05kZWWJsSel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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f72969fc110>"
      ]
     },
     "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_SSDF_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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DxXg8Bo89Zr+VLaFcvFjJ3oC87lNTeOCB+JbXDVQyvXG9jozxQ8KSuNi/v/Ga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\nvffJmh45/v2BF0qpnwYihR5+VhMl6up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ELt8zQrL3Q52/1xc0x69Mxw9+R+6joMTN9RqD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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f726b12df50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1, 2, figsize=(8,4))\n",
    "\n",
    "X, Y = np.meshgrid(photoz_zgrid, photoz_zgrid)\n",
    "\n",
    "Ax[0].pcolormesh(X, Y, pz2d_gal, cmap='magma_r', \n",
    "                 vmin=0, vmax=np.percentile(pz2d_gal, 99.9))\n",
    "\n",
    "#             extent=[photoz_zgrid.min(), photoz_zgrid.max(), \n",
    "#             photoz_zgrid.min(), photoz_zgrid.max()], \n",
    "\n",
    "Ax[1].pcolormesh(X, Y, pz2d_agn, cmap='magma_r', \n",
    "             vmin=0, vmax=np.percentile(pz2d_agn, 99.9))\n",
    "\n",
    "Ax[0].set_title('Galaxies')\n",
    "Ax[1].set_title('AGN')\n",
    "\n",
    "Ax[0].set_xlim([0, 2.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 2.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "\n",
    "Ax[1].set_xlim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "Ax[1].set_ylim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "\n",
    "\n",
    "for ax in Ax:\n",
    "    ax.set_xlabel('$z_{spec}$', size=12)\n",
    "    ax.set_ylabel('$z_{phot}$', size=12)\n",
    "\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid, color='0.5', lw=2)\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid + 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid - 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    \n",
    "Fig.savefig('plots/dmu24_SSDF_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": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 9)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_agn],99)), 2)\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,ndmin=2)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PEbE45yoTUA5nwM3Z3rCDZxa+wR0PzmHjlu0c268737m4drfLW9YtXs1Nv/8He3dqz93X\nnUmXDoWZYWFm7yn0LIhHgZNJrYp2IvADSZObWKDH8qhddRXDj+jF7Zd/iG5dOjD7lTf5+m9nsH7j\n1ia3jwjufnQBAJd8+HCHr1mJa81iPMB760SUqnI+A860Yu27fON3z/L6W5s4uHsXvv8vJ7F/1/dP\nLXt6wet8b/IsunXpwISxZ9CxxgvBmxVDoYcgvt3cZxFxc65fWkyVEsCQWsvipt//g1dWvU3PfTry\n/X85iUN6pBYR2hHBteOf4JVVb3Ptx4Ywcli/hKs1azsKPQQxK+OnDlhB6k64S3L9Qmu57nt35LbL\nT2ZIn26s3rCZf53wNAtWvAXA9HkrdwXzx48/JOFKy1P9lClMGz6cB/v3Z9rw4dRPmZJ0SVbhcpoF\nIWkA8G/A4cD/jYgHC1VYvlTSGfBOm7c1cOt9s/jHotV0bF/Nty4+gV/8z1zq177LVz5xFOc6gHNW\nP2UKc266iYZNm3a1VXfqxNG33kqfkSMTrMzKQaGHIGqBr5FaP/j2iHg69xKTUYkBDKkZEnc8OIe/\nv7B8V1uvbp35ry+eXtBbqSvVtOHD2bTig9PaO/XuzUefeCKBiqycFPqhnP8A5gEvAV+VtGv+b0SU\n5DBEIR5JVEraVVdxw8hj2LtTex74x1IAPnfaAIdvC21auTKndrN82G0AS5oNfBIouys66eGRB7t0\n6XJ10rUUSpXENecMoe/+e7Nmw2bOGHpQ0iWVrU69ejV9BtyruE8vsbZlt0MQknaQWv9hP1JrQDwE\n3BsRZfM05EodgrD88hiwtUYhZ0HsA0wGXiC1CPtTkor3PB2zIugzciRH33ornXr3BolOvXs7fK3g\n9nQGvBXoGhGbMtp+COwfEVcVob5W8xmwmRVaoS7CLQe6AZsy2r4LlMU6EGZmpWxPQxC/B+6TdFhG\n28AC1mNm1mbs6Qz4O+ltXpS0GFgHHA/cWujCzMwqXbY3YuwFnAb0BF6MiFmFLixfPAZsZoVW0Bsx\nIuId4M85V2VmZs3ybVNmZglxAJuZJaTsVuyW9EngE6RuEPl1RPw14ZLMzFqkqGfAku6StErSi43a\nR0haIGmRpBt3d4yIeCAirgauAS4tZL1mZoWU81ORW/VlqScqvwPcExFD023VwELgbKAemAlcBlQD\nP2h0iKsiYlV6v58Av4uI53b3nZ4FYWaFVujlKPMiIqZL6tuoeRiwKCKWAEiaBIyMiB8A5zU+hiQB\nPwT+0lz4ShoDjAGoqanJW/1mZvlUChfhDgKWZbyvT7c15zrgo8CnJV3T1AYRMT4iaiOitl27shvm\nNrM2ouzSKSJ+BvxsT9tV+oLsZlb+SuEMeDlwcMb7Pum2VomIByNiTHV1dWsPZWZWEKUQwDOBAZL6\nSaoBRgFTE67JzKzgij0NbSLwDDBIUr2k0RGxHRgLPEzqmXOTI2JuHr7rfEnjGxrK5uEdZtbGFHUa\nWhI8Dc3MCq0spqEVky/CmVmp8xmwmVkrFfKhnGZmVgAOYDOzhHgM2MwsIR4DNjNrJY8Bm5mVGQew\nmVlCPAZsZpYQjwGbmbWSx4DNzMqMA9jMLCEeAzYzS4jHgM3MWsljwGZmZcYBbGaWEAewmVlCHMBm\nZgnxLAgzs4R4FoSZWSt5FoSZWZlxAJuZJcQBbGaWEAewmVlCHMBmZglxAJuZJcQBbGaWEN+IYWaW\nEN+IYWbWSr4Rw8yszDiAzcwS4gA2M0uIA9jMLCEOYDOzhDiAzcwS4gA2M0uIA9jMLCEOYDOzhJRV\nAEs6QtIvJd0n6YtJ12Nm1hpFC2BJd0laJenFRu0jJC2QtEjSjbs7RkS8FBHXAJcApxSyXjOzQivm\nGfAEYERmg6RqYBzwcWAIcJmkIZKOkvRQo5/90/tcAPwJ+HMRazczy7uiLsYjqS/wUEQMTb8/Gfhu\nRHws/f4bABHxgyyO9aeI+MSetvNiPGZWaC1djCfp5SgPApZlvK8HTmpuY0lnABcBHdjNGbCkMcCY\njPcbW1toCWsHbE+6iAKr9D66f+WvU0t2SjqAcxIRjwGPZbHdeGA8gKS6iKgtbGXJqfT+QeX30f0r\nf5LqWrJf0rMglgMHZ7zvk24zM6t4SQfwTGCApH6SaoBRwNSEazIzK4piTkObCDwDDJJUL2l0RGwH\nxgIPAy8BkyNibp6/enyej1dqKr1/UPl9dP/KX4v6WPGPJDIzK1VJD0GYmbVZDmAzs4Q4gM3MEuIA\nNjNLiAPYzCwhDmAzs4Q4gM3MEuIANjNLiAPYzCwhDmAzs4Q4gM3MEuIANjNLiAPYzCwhDmAzs4Q4\ngM3MElJWz4ST1AX4D2Ar8FhE/C7hkszMWizxM2BJd0laJenFRu0jJC2QtEjSjenmi4D7IuJq4IKi\nF2tmlkeJBzAwARiR2SCpGhgHfBwYAlwmaQiph3bufIx9QxFrNDPLu8SHICJiuqS+jZqHAYsiYgmA\npEnASKCeVAjPZjd/eUgaA4wB6NKlywmDBw/Of+FmZmmzZs1aExE9c90v8QBuxkG8d6YLqeA9CfgZ\ncKekTwAPNrdzRIwn/ZC82traqKurK2CpZtbWSXq1JfuVagA3KSLeBT6fdB1mZvlQCmPATVkOHJzx\nvk+6LWuSzpc0fv369XktzMwsX0o1gGcCAyT1k1QDjAKm5nKAiHgwIsZ07dq1IAWambVW4gEsaSLw\nDDBIUr2k0RGxHRgLPAy8BEyOiLk5HtdnwGZW0hQRSddQUL4IZ2aFJmlWRNTmul/iZ8BmZm1VxQaw\nhyDMrNRVbAD7IpyZlbqKDWAzs1JXsQHsIQgzK3UVG8AegjCzUlexAWxmVuocwGZmCanYAPYYsJmV\nuooNYI8Bm1mpq9gANjMrdQ5gM7OEOIDNzBJSsQHsi3BmVuoqNoB9Ec7MSl3FBrCZWalzAJuZJcQB\nbGaWEAewmVlCKjaAPQvCzEpdxQawZ0GYWamr2AA2Myt1DmAzs4Q4gM3MEuIANjNLiAPYzCwhDmAz\ns4RUbAB7HrCZlbqKDWDPA7Zc1U+ZwrThw3mwf3+mDR9O/ZQpSZdkFa5d0gWYlYL6KVOYc9NNNGza\nBMCmFSuYc9NNAPQZOTLJ0qyCVewZsFku5t9++67w3alh0ybm3357QhVZW+AANgM2rVyZU7tZPjiA\nzYBOvXrl1G6WDw5gM2DwDTdQ3anT+9qqO3Vi8A03JFSRtQW+CGfGexfa5t9+O5tWrqRTr14MvuEG\nX4CzgnIAm6X1GTnSgWtF5SEIM7OEOIDNzBLiADYzS0hZBbCkwyT9WtJ9SddiZtZaRQtgSXdJWiXp\nxUbtIyQtkLRI0o27O0ZELImI0YWt1MysOIo5C2ICcCdwz84GSdXAOOBsoB6YKWkqUA38oNH+V0XE\nquKUamZWeEUL4IiYLqlvo+ZhwKKIWAIgaRIwMiJ+AJzX0u+SNAYYA3DIIYe09DBmZgWV9BjwQcCy\njPf16bYmSeou6ZfAcZK+0dx2ETE+ImojorZnz575q9bMLI/K6kaMiHgTuCabbSWdD5zfv3//whZl\nZtZCSZ8BLwcOznjfJ93Wal6Q3cxKXdIBPBMYIKmfpBpgFDA14ZrMzIqimNPQJgLPAIMk1UsaHRHb\ngbHAw8BLwOSImJun7/Mz4cyspCkikq6hoGpra6Ouri7pMsysgkmaFRG1ue6X9BCEmVmbVbEB7CEI\nMyt1FRvAngVhZqWuYgPYzKzUVWwAewjCzEpdxQawhyDMrNRVbACbmZU6B7CZWUIqNoA9Bmxmpa5i\nA9hjwGZW6rIKYEle1dzMLM+yPQN+YOcLSX8sUC1mZm1KtgGsjNeHFaKQYqr0BYjMrDxkG8DRzOuS\n1dRFuN8/8TJX3vkoL762NsHKzMxSsg3gYyRtkPQ2cHT69QZJb0vaUMgCW6qpi3DrN25l5bqNPPfK\nmgQrMzNLySqAI6I6IvaJiL0jol369c73+xS6yHw5rl8PAJ5f4gA2s+S1ehqapK/mo5BiOPrQ7lRX\niQUr3uLdzduSLsfM2rh8zAO+Pg/HKIrOHdox+KB92RHwz1ffTLocM2vj8hHA2vMmpeP4ncMQHgc2\ns4TlI4BLclZEc7ciH3eYx4HNrDRkeyfc25mzHjJevw30LnCNLdLcrciDeu9Lp5pqlr35Lqs3bEqo\nOjOz7GdB7JztsD9wSvqn585ZEYUsMN/aVVdx9KHdAZj9iseBzSw52Z4Bt5P0I+A1YAJwN7BM0o8l\ntS9gfQWxczrac0tWJ1yJmbVl2Y4B3wZ0Bw6LiBMi4njgcGBf4PZCFVcou+YDv/Kmb0s2s8RkG8Dn\nAVdHxNs7GyJiA/BF4NxCFFZIh/bci/326sC6d7fw6up3ki7HzNqorNeCiCZOFSOigRKdBbE7kt4b\nhvB0NDNLSLYBPE/S5Y0bJX0WmJ/fkorjOM8HNrOEZTuD4UvAf0u6CpiVbqsFOgEXFqKw1pJ0PnB+\n//79m/x8ZwDPWfom2xt20K66Yh8OYmYlKttpaMsj4iTgZmBp+ufmiBgWEcsLV17L7emRRD326cgh\nPfZi87YG5i9/q8jVmZllfwYMQEQ8AjxSoFqK7rh+PXhtzTs8t2QNQw/ZL+lyzKyNadP/7vY4sJkl\nqU0H8NGH7keVxPzlb/HuFi9PaWbF1aYDuEvH9unlKYMXXvVjisysuNp0AIOHIcwsOQ7gw3auC+EA\nNrPiavMBPPigfenYvprX1rzDm29vTrocM2tD2nwAt6+u4uhDU1PQfBZsZsXU5gMYPA5sZslwAPP+\nAPbylGZWLGUXwJI+Kek/Jd0r6Zx8HLPv/nvTrUsH1r6zhdfWeHlKMyuOogawpLskrZL0YqP2EZIW\nSFok6cbdHSMiHoiIq4FrgEvzVBfH9Us9psjDEGZWLMU+A54AjMhskFQNjAM+DgwBLpM0RNJRkh5q\n9LN/xq7fTO+XF35aspkVW1EfqBkR0yX1bdQ8DFgUEUsAJE0CRkbED0g9ieN9JAn4IfCXiHiuqe+R\nNAYYA3DIIYdkVduxfdPLU7661stTmllRlELKHAQsy3hfn25rznXAR4FPS7qmqQ0iYnxE1EZEbc+e\nPbMqYv+unejTvQsbt25nwQovT2lmhVcKAZyTiPhZ+sGg10TEL5vbTtL5ksavX78+62Pvmg3hYQgz\nK4JSCODlwMEZ7/uk21plTwuyN+V4PyfOzIqoFAJ4JjBAUj9JNcAoYGoShRzTtztVgvnL32Ljlu1J\nlGBmbUixp6FNBJ4BBkmqlzQ6IrYDY4GHgZeAyRExNw/flfMQRJeO7RnUe18adgTT5tS3tgQzs91S\npd/5VVtbG3V1dVlvP21OPbdN+SfVVeLfLxvG8enpaWZmzZE0KyJqc92vFIYgSspHj+7DxScfRsOO\n4Jb7ZrF01dtJl2RmFapiA7glQxA7XXXWYIYfcSAbt2znmxP/4WUqzawgKjaAWzILYqcqiX8beSxH\n9NmX1Rs28+1JM9m01RflzCy/KjaAW6tD+2q+e0ktvbp1ZtHrG/jBfz9Pw47KHi83s+Kq2ABuzRDE\nTvt26cC/X3Yie3dqz7Mvr+IXD8/1cpVmljcVG8CtGYLI1Kf7XnznklraV1fxYN2r3P/sK3mq0Mza\nuooN4Hw66pD9+NcLjgZg/N9e4qn5rydckZlVAgdwls4cehCfP3MQAfzo/ueZv3xd0iWZWZmr2ADO\nxxhwY5eecjgjjj2YLdt38O1JdWzYuDVvxzaztqdiAzhfY8CZJHHduUM5/IB9WL9xK3OX+SzYzFqu\nYgO4UNpVV9GzaycAAs+IMLOWcwCbmSWkYgO4EGPAZmb5VLEBXIgxYDOzfKrYADYzK3UO4NbwNTgz\nawUHsJlZQhzALaCkCzCzilCxAexZEGZW6io2gD0LwsxKXcUGsJlZqXMAm5klxAHcCp6FZmat4QBu\nAXkahJnlgQPYzCwhDmAzs4Q4gM3MElKxAewbMcys1FVsABfjRowIz4Mws5ar2AA2Myt1DuAW8Cw0\nM8sHB7CZWUIcwGZmCXEAm5klxAFsZpYQB3AreBKambWGA7glvBqPmeWBA9jMLCFlFcCSjpD0S0n3\nSfpi0vWYmbVG0QJY0l2SVkl6sVH7CEkLJC2SdOPujhERL0XENcAlwCmFrNfMrNCKeQY8ARiR2SCp\nGhgHfBxmLOzJAAAbR0lEQVQYAlwmaYikoyQ91Ohn//Q+FwB/Av5cxNrNzPKuXbG+KCKmS+rbqHkY\nsCgilgBImgSMjIgfAOc1c5ypwFRJfwJ+X7iKs+BpEGbWCkUL4GYcBCzLeF8PnNTcxpLOAC4COrCb\nM2BJY4Ax6bdbGg975Mtfv12Io+asB7Am6SIKrNL76P6Vv0Et2SnpAM5JRDwGPJbFduOB8QCS6iKi\ntrCVJafS+weV30f3r/xJqmvJfknPglgOHJzxvk+6zcys4iUdwDOBAZL6SaoBRgFTE67JzKwoijkN\nbSLwDDBIUr2k0RGxHRgLPAy8BEyOiLl5/urxeT5eqan0/kHl99H9K38t6qP8WB0zs2QkPQRhZtZm\nOYDNzBLiADYzS4gD2MwsIQ5gM7OEOIDNzBLiADYzS4gD2MwsIQ5gM7OEOIDNzBLiADYzS4gD2Mws\nIQ5gM7OEOIDNzBLiADYzS4gD2MwsIQ5gM7OEJBLAkkZIWiBpkaQbm/j8GkkvSJot6UlJQzI++0Z6\nvwWSPlbcys3M8qfojySSVA0sBM4G6kk9mPOyiJiXsc0+EbEh/foC4NqIGJEO4onAMKA3MA0YGBEN\nzX1fjx49om/fvoXqjpkZs2bNWhMRPXPdr10hitmDYcCiiFgCIGkSMBLYFcA7wzetC7Dzb4mRwKSI\n2AK8ImlR+njPNPdlffv2pa6uLr89MDPLIOnVluyXRAAfBCzLeF8PnNR4I0lfAq4HaoCPZOw7o9G+\nBxWmTDOzwirZi3ARMS4iDge+Dnwzl30ljZFUJ6lu9erVhSnQzKyVkgjg5cDBGe/7pNuaMwn4ZC77\nRsT4iKiNiNqePXMelrE2qn7KFKYNH86D/fszbfhw6qdMSbokq3BJBPBMYICkfpJqgFHA1MwNJA3I\nePsJ4OX066nAKEkdJPUDBgD/KELNVuHqp0xhzk03sWnFCohg04oVzLnpJoewFVTRAzgitgNjgYeB\nl4DJETFX0s3pGQ8AYyXNlTSb1DjwFel95wKTSV2w+x/gS7ubAWGWrfm3307Dpk3va2vYtIn5t9+e\nUEXWFhR9Glqx1dbWhmdB2J482L8/NPVnQeL8RYuKX5CVFUmzIqI21/1K9iKcWTF16tUrp3azfHAA\nmwGDb7iB6k6d3tdW3akTg2+4IaGKrC1IYh6wWcnpM3IkkBoL3rRyJZ169WLwDTfsajcrBAewWVqf\nkSMduFZUHoIwM0uIA9jMLCEOYDOzhDiAzcwS4gA2M0uIA9jMLCEOYDOzhDiAzcwS4gA2M0uIA9jM\nLCEOYDOzhDiAzcwSUvQAljRC0gJJiyTd2MTn10uaJ2mOpL9LOjTjswZJs9M/Uxvva2ZWToq6Gpqk\namAccDapR8rPlDQ1IuZlbPY8UBsRGyV9EfgxcGn6s00RcWwxazYzK5RinwEPAxZFxJKI2Erqicfv\nW/8vIh6NiI3ptzNIPfnYzKziFDuADwKWZbyvT7c1ZzTwl4z3HSXVSZoh6ZPN7SRpTHq7utWrV7eu\nYjOzAinZBdklfRaoBU7PaD40IpZLOgx4RNILEbG48b4RMR4YD6mHchalYDOzHBX7DHg5cHDG+z7p\ntveR9FHgJuCCiNiysz0ilqf/uwR4DDiukMWamRVSsQN4JjBAUj9JNcAo4H2zGSQdB/yKVPiuymjv\nJqlD+nUP4BQg8+KdmVlZKeoQRERslzQWeBioBu6KiLmSbgbqImIqcBuwF/AHSQCvRcQFwBHAryTt\nIPUXxw8bzZ4wMysriqjsIdLa2tqoq6tLugwzq2CSZkVEba77+U44M7OEOIDNzBLiADYzS4gD2Mws\nIQ5gM7OEOIDNzBLiADYzS4gD2MwsIQ5gM7OEOIDNzBLiADYzS4gD2MwsIQ5gM7OEOIDNzBLiADYz\nS4gD2MwsIUUPYEkjJC2QtEjSjU18fr2keZLmSPq7pEMzPrtC0svpnyuKW7mZWX4VNYAlVQPjgI8D\nQ4DLJA1ptNnzQG1EHA3cB/w4ve9+wHeAk4BhwHckdStW7WZm+VbsM+BhwKKIWBIRW4FJwMjMDSLi\n0YjYmH47g9STkwE+BvwtItZGxDrgb8CIItVtZpZ3xQ7gg4BlGe/r023NGQ38Jdd9JY2RVCepbvXq\n1a0o18yscEr2IpykzwK1pJ6SnJOIGB8RtRFR27Nnz/wXZ2aWB8UO4OXAwRnv+6Tb3kfSR4GbgAsi\nYksu+5qZlYtiB/BMYICkfpJqgFHA1MwNJB0H/IpU+K7K+Ohh4BxJ3dIX385Jt5mZlaV2xfyyiNgu\naSyp4KwG7oqIuZJuBuoiYiqpIYe9gD9IAngtIi6IiLWSbiEV4gA3R8TaYtZvZpZPioikayio2tra\nqKurS7oMM6tgkmZFRG2u+5XsRTgzs0rnADYzS4gD2MwsIVkFsKSGQhdiZtbWZHsGrIJWYWbWBmUb\nwJU9VcLMLAE5jQFLOlHSgRnvL5c0RdLP0quVmZlZlnK9CPcrYCuApNOAHwL3AOuB8fktzcyssuV6\nJ1x1xt1nlwLjI+KPwB8lzc5vaWZmlS3XM+BqSTtD+yzgkYzPinpbs5lZucs1NCcCj0taA2wCngCQ\n1J/UMISZmWUppwCOiFsl/R3oBfw13ltIogq4Lt/FmZlVspwCWFJH4ENAf2B/Sb+OiO0RsbAg1ZmZ\nVbBcx4DvIfWUihdIPVjzJ3mvyMysjch1DPiIiDgKQNKvgX/kvyQzs7Yh1zPgbTtfRMT2PNdiZtam\n5BrAx0jakP55Gzh652tJG7I5gKQRkhZIWiTpxiY+P03Sc5K2S/p0o88aJM1O/0xtvK+ZWTnJdRZE\ndWu+TFI1MA44m9Rj5WdKmhoR8zI2ew24ErihiUNsiohjW1ODmVmpyMt6wJKqJP1LFpsOAxZFxJKI\n2ApMAkZmbhARSyNiDrAjH7WZmZWqXBfj6SrpG5LulHSOUq4DlgCXZHGIg4BlGe/r023Z6iipTtIM\nSZ/cTZ1j0tvVrV69OofDm5kVT66zIH4DrAWeAb4A/B9SawV/MiKKsRbEoRGxXNJhwCOSXoiIxY03\niojxpBcHqq2t9VKaZlaScg3gfhFxAYCk/wJWAodExOYs918OHJzxvk+6LSsRsTz93yWSHgOOAz4Q\nwGZm5aA109AagPocwhdgJjBAUj9JNcAoIKvZDJK6SeqQft0DOAWYt/u9zMxKV65nwMdkTDcT0Clz\n+llE7LO7nSNiu6SxwMNANXBXRMyVdDNQFxFTJZ0I3A90A86X9L2IOBI4AviVpB2k/uL4YaPZE2Zm\nZSXXAB4MHBART2Y2SjoVeD2bA0TEn4E/N2r7dsbrmaSGJhrv9zRwVI71mpmVrFyHIH5K08tOrk9/\nZmZmWco1gA+MiBcaN6bb+ualIjOzNiLXAN53N591ak0hZmZtTa4BPFPS1Y0bJX0BmJWfkszM2oZc\nL8J9Fbg/fdvxzsCtBWqAC/NZmJlZpcs2gAUQEW8AH5Z0JjA0/dmfIuKRZvc0M7MmZRXAEVHV6P2j\nwKMFqcjMrI3Iy2poZmaWOwewmVlCHMBmZglxAJuZJcQBbGaWEAewmVlCHMBmZglxAJuZJcQBbGaW\nkKIHsKQRkhZIWiTpxiY+P03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NiL6kxrgviIjSe9pq87L5f/QBUme/SOpBakhiSTGLbIVs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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f728796cb90>"
      ]
     },
     "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], 'o', 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], 'o', 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, 'o', 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_SSDF_stats_vs_z.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Quality as a function of optical magnitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n",
    "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.]), num=9)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.]), num=2)\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,ndmin=2)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cAzX1jB3Slzs+l93LijsiPrPRIdNZECLdx2+Xv8/sX77KgZp6zho/mDn/+JHY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\npJsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f71c8591310>"
      ]
     },
     "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], 'o', 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],'o', 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, 'o', 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_SSDF_stats_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy of the photometric redshift probability distribution\n",
    "\n",
    "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n",
    "\n",
    ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n",
    "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n",
    "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n",
    "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SMRoNtO+sn8tos+qmEC4mY4N5F2lq4ToJVF67bekMq8wdwAQAKeUmoZ9GGQRk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f728489de10>"
      ]
     },
     "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_SSDF_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:780: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  keep = (tmp_a >= first_edge)\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:781: RuntimeWarning: invalid value encountered in less_equal\n",
      "  keep &= (tmp_a <= last_edge)\n"
     ]
    },
    {
     "data": {
      "image/png": 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+OUOHDuXMM88M/BJibaf8aItL8qctrh7O8zy+//3vs3fvXsyMGTNmFOS6hxqA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\nlLhEJHaUuEQkdv4/wYXykikiULwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7296a02450>"
      ]
     },
     "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_SSDF_pz_accuracy_agn.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks for statistiscs on number of estimates with secondary peaks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_frac_sec_peak = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    \n",
    "    galaxy_frac_sec_peak.append(mpeaks)\n",
    "\n",
    "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n",
    "\n",
    "agn_frac_sec_peak= []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    \n",
    "    agn_frac_sec_peak.append(mpeaks)\n",
    "    \n",
    "agn_frac_sec_peak = np.array(agn_frac_sec_peak)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "  \n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n",
    "\n",
    "galaxy_frac_sec_peak_nf = []\n",
    "agn_frac_sec_peak_nf= []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, n in enumerate(nfilts):\n",
    "    mcut = (photoz['nfilt_eazy'] == n)\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    galaxy_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    agn_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "\n",
    "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n",
    "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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567LIihEeHm4iIiLKdZvJhw+zdtQoPGvVYsSGDXgFBpbr9ivSuuuv50JkJABe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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f71c84f8e50>"
      ]
     },
     "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_SSDF_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
