{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# XMM-LSS master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) deep data\n", "\n", "This catalogue comes from `dmu0_HSC`. We only have n921 and n816 photometry on the ultradeep field.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `object_id` as unique object identifier;\n", "- The position;\n", "- The g, r, i, z, y aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\n", "\n", "**TODO**: Check that the magnitudes are AB.\n", "\n", "We don't know when the maps have been observed. We will use the year of the reference paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "33f5ec7 (Wed Dec 6 16:56:17 2017 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "plt.style.use('ggplot')\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy import visualization as vis\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, nb_plot_mag_ap_evol, \\\n", " nb_plot_mag_vs_apcor, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, aperture_correction" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"hsc-deep_ra\"\n", "DEC_COL = \"hsc-deep_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_deep_XMM-LSS.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "\n", "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " magnitude_errors[band][mask] = np.nan\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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www8V/hIREW853fvijJkO9WJwc+/GfeUZrB7jIbWUX08yXr16NY8++iglJSWV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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8ER9v34lzsjKx5qEHetXT3N6OL38ox+avvkbZrj2w2e04f1QeZhRegesuvxSq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\nQOx5YJom/u/R3VaviEi+pdHNVixvoaB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 18.5 and 20.8" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.13086223602294922\n", "Number of source used: 2519\n", "RMS: 0.022805425014163726\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], \n", " stellarities['g'],\n", " mag_min=18.5, mag_max=20.8)\n", "print(\"Aperture correction for g band:\")\n", "print(\"Correction: {}\".format(mag_corr['g']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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UcN5///1DPh8dHU1KSgoNGjQgOjr6sPtba5k4cSLp6el06dKl+PmNGzeSlJQE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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Mj7owMDwcCiWDw8MYHHaGtk1dHxp2wjs5GfYcRkMONtTUYHPtSmxatRIbV63E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\nBI/FKXa7XXR0dAghhBgfHxf33XefuHD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.5 and 19.75." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.08403396606445312\n", "Number of source used: 1851\n", "RMS: 0.018014916888614004\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], \n", " stellarities['r'],\n", " mag_min=18.5, mag_max=19.75)\n", "print(\"Aperture correction for r band:\")\n", "print(\"Correction: {}\".format(mag_corr['r']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.c - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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Yf9A3s1aLaPm9RMscoFmqPUMwb/71ulQHq6Kigry8PHr06EHnzp2BwBOS/6d3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RITE0lMTEQpxZAhQwgJCWn382bPns2nn35KaGgofn5+vPPOO4SGhqLX6zl06BD+/v74+/vfteZh\nw4axfPlyEhISKC0txdHRkREjRjBy5Mj7/0KEEN1Go5RS5i5CCPH/0+2XbAshRGeSKSohhBBC2BwZ\n4AghhBDC5sgUlRBCCCFsjhzBEUIIIYTNkQGOEEIIIWyODHCEEEIIYXNkgCOEEEIImyMDHCGEEELY\nHBngCCGEEMLm/B8G9KRAlEcjhAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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7lZdHelrydTu7XC76hkc439dPZ78WqGhfA5zv62dy2UKoaakpmLOyyMnKxJyV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\nmTNneO211zhx4gR79+5l7969vPnmm6s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.0 and 19.8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.16637039184570312\n", "Number of source used: 4269\n", "RMS: 0.020601125090626168\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], \n", " stellarities['i'],\n", " mag_min=18.0, mag_max=19.8)\n", "print(\"Aperture correction for i band:\")\n", "print(\"Correction: {}\".format(mag_corr['i']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.d - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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TRstc2EbmmltlCiX6HQ+IaZ4UnPnz5+vll19W+fLlVaBAgbzPjTEUHAD4FVOm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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IYEPebi6ZOcPQNhhKZhAJP1MuF5QUQ2Jyu5WfhfdUTRUORwMqLBwtzGTssa31cLiwZSV5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\nEBYWRk1NTbvHycrKIisrq+X7srKyrpruk127dpG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.5 and 19.5." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.2327556610107422\n", "Number of source used: 4553\n", "RMS: 0.029492398076254384\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], \n", " stellarities['z'],\n", " mag_min=17.5, mag_max=19.5)\n", "print(\"Aperture correction for z band:\")\n", "print(\"Correction: {}\".format(mag_corr['z']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.e - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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F+/fvV//+/VWjRg2VK1dOmZmZ+uyzz5SYmOhFdADIFRMdI3PNLbKVq8md/ZDc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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QqqkJtXs7FB8AAr/6boPbzYy8+ewrPswD02+msqaWdz//Z8DLEZFkgK8QQkQETanwXB+/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\n52w2G06nE7vdjtP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D4fDbuXtDZWTD7u1QG+QVKvv0Q/NzvfSm7lVKOhw+pO+zYpAbcify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\n3j/S0tIoLCwEYOPGjWRlZbU7Rt73/tGdupf3vX+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.6 and 18.7." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.16762733459472656\n", "Number of source used: 2431\n", "RMS: 0.020809063812093947\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], \n", " stellarities['y'],\n", " mag_min=17.6, mag_max=18.7)\n", "print(\"Aperture correction for y band:\")\n", "print(\"Correction: {}\".format(mag_corr['y']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "HSC does not provide a 0 to 1 stellarity value but a 0/1 extended flag in each band. We are using the same method as UKIDSS ([cf this page](http://wsa.roe.ac.uk/www/gloss_p.html#dxssource_pstar)) to compute a stellarity based on the class in each band:\n", "\n", "\\begin{equation*}\n", "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n", "\\end{equation*}\n", "\n", "where $i$ is the band, and with using the same probabilities as UKDISS:\n", "\n", "| HSC flag | UKIDSS flag | Meaning | P(star) | P(galaxy) | P(noise) | P(saturated) |\n", "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n", "| | -9 | Saturated | 0.0 | 0.0 | 5.0 | 95.0 |\n", "| | -3 | Probable galaxy | 25.0 | 70.0 | 5.0 | 0.0 |\n", "| | -2 | Probable star | 70.0 | 25.0 | 5.0 | 0.0 |\n", "| 0 | -1 | Star | 90.0 | 5.0 | 5.0 | 0.0 |\n", "| | 0 | Noise | 5.0 | 5.0 | 90.0 | 0.0 |\n", "| 1 | +1 | Galaxy | 5.0 | 90.0 | 5.0 | 0.0 |" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We are creating an array containing the extended flag in all band.\n", "# Some sources have no flag in some band, there will be NaN in the array.\n", "hsc_ext_flag = np.array([\n", " orig_hsc[colname] for colname in \n", " ['gclassification_extendedness',\n", " 'rclassification_extendedness',\n", " 'iclassification_extendedness',\n", " 'zclassification_extendedness',\n", " 'yclassification_extendedness']\n", "])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "hsc_pstar = 0.9 * (hsc_ext_flag == 0) + 0.05 * (hsc_ext_flag == 1)\n", "hsc_pgal = 0.05 * (hsc_ext_flag == 0) + 0.9 * (hsc_ext_flag == 1)\n", "\n", "# We put back the NaN values\n", "hsc_pstar[np.isnan(hsc_ext_flag)] = np.nan\n", "hsc_pgal[np.isnan(hsc_ext_flag)] = np.nan" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarity = np.nanprod(hsc_pstar, axis=0) / np.nansum(\n", " [np.nanprod(hsc_pgal, axis=0), np.nanprod(hsc_pstar, axis=0)], axis=0)\n", "\n", "stellarity = np.round(stellarity, 3)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis.hist(stellarity, bins='scott');" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_hsc.add_column(Column(data=stellarity, name=\"stellarity\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc-deep_id\",\n", " \"ra\": \"hsc-deep_ra\",\n", " \"dec\": \"hsc-deep_dec\",\n", " \"gmag_aperture20\": \"m_ap_hsc-deep_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_hsc-deep_g\",\n", " \"gmag_kron\": \"m_hsc-deep_g\",\n", " \"gmag_kron_err\": \"merr_hsc-deep_g\",\n", " \"rmag_aperture20\": \"m_ap_hsc-deep_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_hsc-deep_r\",\n", " \"rmag_kron\": \"m_hsc-deep_r\",\n", " \"rmag_kron_err\": \"merr_hsc-deep_r\",\n", " \"imag_aperture20\": \"m_ap_hsc-deep_i\",\n", " \"imag_aperture20_err\": \"merr_ap_hsc-deep_i\",\n", " \"imag_kron\": \"m_hsc-deep_i\",\n", " \"imag_kron_err\": \"merr_hsc-deep_i\",\n", " \"zmag_aperture20\": \"m_ap_hsc-deep_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_hsc-deep_z\",\n", " \"zmag_kron\": \"m_hsc-deep_z\",\n", " \"zmag_kron_err\": \"merr_hsc-deep_z\",\n", " \"ymag_aperture20\": \"m_ap_hsc-deep_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_hsc-deep_y\",\n", " \"ymag_kron\": \"m_hsc-deep_y\",\n", " \"ymag_kron_err\": \"merr_hsc-deep_y\",\n", " \"stellarity\": \"hsc-deep_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_hsc[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_hsc-deep_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " #Some inf and 99. mags\n", " mask = (catalogue[col] > 90.) | (catalogue[errcol] > 90.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxhsc-deep_idhsc-deep_rahsc-deep_decm_ap_hsc-deep_gmerr_ap_hsc-deep_gm_hsc-deep_gmerr_hsc-deep_gm_ap_hsc-deep_rmerr_ap_hsc-deep_rm_hsc-deep_rmerr_hsc-deep_rm_ap_hsc-deep_imerr_ap_hsc-deep_im_hsc-deep_imerr_hsc-deep_im_ap_hsc-deep_zmerr_ap_hsc-deep_zm_hsc-deep_zmerr_hsc-deep_zm_ap_hsc-deep_ymerr_ap_hsc-deep_ym_hsc-deep_ymerr_hsc-deep_yhsc-deep_stellarityf_ap_hsc-deep_gferr_ap_hsc-deep_gf_hsc-deep_gferr_hsc-deep_gflag_hsc-deep_gf_ap_hsc-deep_rferr_ap_hsc-deep_rf_hsc-deep_rferr_hsc-deep_rflag_hsc-deep_rf_ap_hsc-deep_iferr_ap_hsc-deep_if_hsc-deep_iferr_hsc-deep_iflag_hsc-deep_if_ap_hsc-deep_zferr_ap_hsc-deep_zf_hsc-deep_zferr_hsc-deep_zflag_hsc-deep_zf_ap_hsc-deep_yferr_ap_hsc-deep_yf_hsc-deep_yferr_hsc-deep_yflag_hsc-deep_y
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 2213258 sources.\n", "The cleaned catalogue has 2213165 sources (93 removed).\n", "The cleaned catalogue has 89 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_hsc-deep_i', 'merr_ap_hsc-deep_r', 'merr_ap_hsc-deep_z',\n", " 'merr_ap_hsc-deep_y', 'merr_ap_hsc-deep_g']\n", "FLAG_NAME = 'hsc-deep_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(\n", " catalogue, RA_COL, DEC_COL, \n", " sort_col= SORT_COLS,\n", " flag_name=FLAG_NAME)\n", "\n", "nb_sources = len(catalogue)\n", "\n", "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n", "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n", "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Astrometry correction\n", "\n", "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_XMM-LSS.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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LL7zAVVddxYMPPljPOtaN0HzVDFupYq7ewYtw6uoROb4Q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pAAAg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\nlFNOmdB9wyu6eqPHi2rzrelSOgo8aHr09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hORKLimJsGIjqPl3f085K4E+pIOOTjVXRHSQJvHZLZipxgq9UhL3PhY93AZzO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EMUR/CDUkcmA2ViHvHVH9df+IXJM4hlmtwtQqSN7/zgXR0Xvx1eX9nQkerTvPZ2HDiPCw1pCe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yn0uw/5HVnLPJ9Hh1D3H9MJMgxWgS6uFFOG2W6uJHcQgX50BD2bk6S22aYa4PJS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3IwYDEo/Sa8nJMpJrhk57syrY1O9EuZ/+9Kc//W3/Er+tms/z3/av8NWpymZnZgsB3/Z3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\nfmmcggle8CyefebOvef9cGY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.12037082196911797 arcsec\n", "Dec correction: -0.09338932542011236 arcsec\n" ] } ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", " gaia_coords\n", ")\n", "\n", "print(\"RA correction: {}\".format(delta_ra))\n", "print(\"Dec correction: {}\".format(delta_dec))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] += delta_ra.to(u.deg)\n", "catalogue[DEC_COL] += delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ersv61vTAeEKh4wXnEEbGK49pgcVihdNbllTCzlioogB6BEzT5HgD54BlufJI\n6yuf6afa989PtctC8vDv3XDS1zv1rcwYg1DV3EGdkWArMo8aM4/YisOhnA8QYwrgU2RDIYSAMH1O\nOmLougw49TAWUFxMUeRv9EIgiDFHXY+Z8UwaSA5AJAfkV71jphrBlsUbwGJxwH5xgyllyXe0tqyh\n0Y6MwdwIGdUoh+AcSKe93xkDi0YGPQ5MgdLQ6NY7q2L5y7l1KEYezjG0DcfWf/+KbROER10rM2HI\nyOuCC8CeXOs3Pw1btheOZJFIefIbZZlpGlhDQ445brTOL4SQHxice1Hx4w2Aog5+PLPLH4nIhTt9\nkfRHo/yMsYrIzkuukrJ77yssj3ZbGotyKZh/errkY2qVulZmTtNgDBCsdFf0sbz1v1hHfQtIRw37\nBoWhPorZOoRBDkMZ8sm0LW9bIzzqWpn5oSYSLuh+DB8yRdU2pLCGR107gADw3DNME1CDcf6yXwr1\nJmczWue3jSoQThxFIQDLlFMdCh3POYTjNSqEDGelqfCrRTe9sz/L+WfQ8vnz9+33p6n2/QprWUgu\n77NHyi4/da3MWEOjDHOkqoAqx2OcsQQHkkdPFpzLjwrTACCC9yOdhlCtYBgqy4KwLMCQ6QVsE+VA\nAhAciDVAaR7npTcMiEzK3i+AeCOUpubC5bEsOb/NHluFroPp3jhoPtNP4PiQjbWMhhyWtlSLcjal\npq936trMyJjtLOBzdCCqizAyUtHkg+dGvBdGBk5fDpYFnuiDGxnfNIJ5CQ6eSHi/Ze/PyVy4TkKF\nzj8Y1RiXqsY5CSIM1LUyc6i2SaGguW0Mb4UQ4OkURHIAPJOR+5jtteiYe3Vduto75kXdt24Zt2B2\n7gPftxsilZRfrdEY1AmTgGhMJlI1uc80wS0LfKAfruJjTPbMC5gZhbAnbDswVnQEkmrKbh1zCyKV\nBLe9QsNUxjDKYdgG7t8QWyKXujYzOt12fyMiufIy5xxIJiEgpFnQyIDpGgDmriLtwBgDolEAUe94\n04S1Y4vrus/7+6G1tgFMuuKzpnGApstzCgGeHJDzCZ3zKSrUtolSobHc5Te4ZQGppGe2BIMSbwhc\njz99KbLT7iopc8MAMmm4P2fSgTqt1PnD0LbqQSbyU9c9s0JjH7StsGs+ANiKxfu9hPNxGWXF7VNp\nak7+widDcFeRAZBjpIPlL7zxN5leGTz9COq1ErI3Z1L+OfPtKn1u2o7es0fkUtfKjBhL0ENeGKob\nYuxT92Y6ZM9YAAAgAElEQVTGsMuMhX/VW8ecJ4pNLzOWMiDNhbbre3Z++epHqBqgqNLTEAAzDOk6\nb3+1OhPgnXxgr1/m5MdMU+ZfoP6Dx0MGJy5QHn8eYWgvAOSYo2l41+sL1Vb1soVYruazVsqzR72z\n/NS1MvM3FqeBjAXZ39grKQsh7Ej1GRlgWdUAn+t83vRCQFEUiHiDHNcxTXkfUkn5EtZ0mR/ngKaB\nRbz8OOdg9qrRSttE8IEEkElDaWqGSKdc13k3/1QSIpMBjLRnelRUIBqV59N0uexPJgMIDkQiYJoO\nRVXl8ekUhGXJY5MD0gFEVYCM7XFZzhBoZZQVTYNQG93Yls50hrCUbyzLo/XsEbnUtTJzyG4gtS6P\nJiKV9ATLhOOokY+cF6oeCUbptyxwW7k5cuB4CPBUSq5PxhjUxiaIhsZget07FzQNvK8XzJmGrahA\nLO6lNw1wIxM8XtXhxHiEpst5bA6mAWH4Xigi6Ko/2Jf1aMmB/2d9WGSnITlczx4pqpFBY2aonAlD\nukenPNfzMuUfFkTWcjHZEVSKgUVj3iKdqgolFg/IgfOBBdLn1BPnEKmUrHchwJNJwG8cjMXAYjHX\nxCkyadl7c1zXFdUdXhJCyAVW/WiaPL/zJc4FRDrlHl/KfRTCnpqQTsGJdFKOdhcGc91YkkeTSp27\nXoIN13XPrJwKJlvm6bQ3bsHtr3vfys0jyX+wfaPx9c85lyY42zVeCCGVkC+KSlH5MSaPUePSbGcr\niWw50JtTVQglBiQH8teNZUEMDAApb36VYAxq60SpBBmDiCpA1z53P0slwdomukqSW5a8PiEAAQgG\n6ZrvlEdRgJRUlMJ244ftuj/U/XHzt13/AQDJFBCPF308yaMnV/tZyydTDy4/da3MKmrfdpwTnHNl\nRRmppD09u9EPR86up5z0zvIs8JTMcM8HIOhKn08WQfPeYPuFxQPlg6ZJ93Snx2eZEFwE9zNf9Awh\nwIW9n0H2ELP3A2Bg9orWQVf/oe4POLePt8ly/R/y+CJkP5Vsa/Uul+NZK/XZI/JDZkaiJhmpQabs\nBp0qmqeIsUU1TZ21TF0rM6fRVGSrKO4L0zE1VvR8Zd46fwXTMRa8vqHSl7J1zINZY1Hu1u4RuefP\n2g8W3A+Lu+NkAOQUAP/x3AKYP3+45tO85WD2fjjnzcp/qK1TPqcAvPj7UKw8kmOHdc9oO6pbIpe6\nVmZ+mzSzzUiCcznukhywB+ez9hcrR2NQonYIJlVz4wv609eqzJiMocg0eU1M0/OPb5UqCw5hmbA6\n98LcuhE80V/4/A2NYIoi71c6BQz0296UgBKPg03Yz3UWYU3NcBBCQNF0KBMmgUUiUvFpOvjAAIRp\nyHvf3wsx0O9+gDBhr3xtmVKxucGHGcAYFCeSvhCeE0pyQM59c8rrK7+iabL+VDmGl70iuT+9c+3V\nkIfd9kMg57StMSQT+anrMTOHgD08nfKio1sWBLegZK2jlc+unVfWdEAtPFZWCXv7qMrRGESkfOMJ\nsDjMHVvcLgvv6YTS2OSOdeWk13QIn+s9LAuseTyY3fPC+NZgevheEKoKpXm86+oPAGJgADyd9May\njAwQjTsHAum0HEtzyq/YSt3Jn1vg6bSXn2mARbypCoEXrqKAxRvy1ke+9MXK2RTdVseYXPVnYxhy\n9nUM+qwQOdR1zywvmhZwCQ9T4xGcQ2TSwblPFWY0r19wDtbQBCdiB9Mjbo8PAISRAU/0Bc2QPg9R\nCA4+0O/ttyyIrGkRQRiY/3jG5Nw3Bz0iy+CgqrnpA9nJXp4Ll5H3851fCOn679+fnW44cjnyIIha\npGDPrL29fdiZHnjggcM+djTJ9xJhmi57VJwDCgPAyv6CGNZLyjAAIyP7IKYJEYm6Zr5Knz+bcufP\nuYzqISxTmg/tZWCUWNzdL/p6pLs8IKPgNzTJg/WI7KElB+Sk54GEu98dFzMN6frOsuanKQqYEoFw\njrdl6LqMPKLrABgQ0eW4luMNqUdkT832YvTyU8EiKoQml56BZcl2ZJj2+Zl9PZZcbNRnAUAsnK75\nYSpLPcjZ5Esfpg/sMFFQmZ1yyiklV5oQMlTRO++8M+KCjQaFzGMA3DiBBfePtmyvreX8UmlX/2wq\nen1CSEUGyBe+bYLzzI+mNP+61y/HpxhjAGO2UvC52jO5H8xxnVfgLA+T9/zcCrr6q1pgRWmAQSi+\n9D6Tj/Nb8Hqypg5oWa79JpehuZzCKOV1zXdNmfnKRnLo5WxIgRXHoGNmP/nJTzB+/PiiM+vu7sbX\nv/71EReKIHJx+1nEENCLr7Yh5TU8BlVmxxxzDCZMmFB0Zvv27aspm3uxX0x+c2TVZKc3ALvTIUqI\nUj9MGRXO35Xd+nY6VcJ1jZf7pSITgPs//37AU3Xu7/7jeZac5/zB9L5eE4ZjOvJdDJCbH0RwvxAj\nPF9+OUy9jeHKoXj2QiaTostPQQeQP/zhD2hra3Nlzjl27NgRSPPuu+/C9MXna2trwx/+8IcKFLNy\nCCECDSSfDFTfHVe6ctuu8Ip320JTvkFkYZrumFa+/YzZXoHO3Dxhu8I7c/Myae967f3wub47LvkO\nzOd9KoQABJdjWHZ6kckE5WQSIpmQ6YQA7+uBtXM7hGEE0gv3+LSURdYqwFxGHuG93eDdndIBRQh5\n3XYEfmFZMLdvhrnlQy9KjG/sLZDfMOXB2nKtyeVui2NBHg7mn552/8YqBZXZlClT3Epsb2/HwoUL\n8eMf/ziQ5qabbsJ5552HXbt2ycwUBVOmTKlgccuL+1VfA1vGGJRYDIg3gMXj0rU7BOUabAsAwl6m\nBbYSKHh9iiKjvDu/CwExMABr326I/l6Zzs6TAYDgMv7iQL90oXeOizeCRWNunbm/c6nQeKJfOoRw\nDp7og7Vvt5yjxjlEX68tJyDSKZh7doL397npRXLAPt6Ujh2OMnJeNgP9MLZtgujtls46iT7AeTlb\nFsz2bUit/Sus3TvB+3ph7dsDRGNQ7Hlm5WonYbj3tB3evSvl2SKCFOWaf8stt6CpqQlLliwJ/H7z\nzTejtbUVy5cvr0jhiFz8DX60zjci1MKWbGfCc+AL1B8pn7HAPC0wFsxPUeTEaPdccj20gudzekj+\nL1wl6xHwy04vzE7P0ynwvh7P9MM5eDIRkIGs+vJFfoEQwV5jJg3e0xUsXwnTLiqdniBqiaImTb/y\nyiu4//77cfjhhwd+nzlzJr773e/mKLlawW+Pzvc7yfkp5XgWjQIiIicQ23O2hBDgyQSQ6JcKQ1HA\nxrdJD81oTP5mmlB0HYCAsJrAE/1gqmb3yuR4k9LYKE9iNYNn0lDicQDMXXoHjhLiXPYQB/rl+VUN\nrKUVTFHBonHbDCgXB1VU1VV6MDKAkQFXVfBUEqKrAwADi8WgTtwfItEPvmcXuB6B0tgkFwqNxaQC\ns135RToFMAZuGIBlQmlpBU+nYe3dBb5jK8yd22G0TEDkYx931SA3lOBSM1n1K6cypN313rih2unz\n3yshhFyo0/baFKoKFpHpq922SC79WaPeWX6KUmbpdLpgBeq6jnQ6nXdfLcCyXhiVlAPmt3qSGZMT\nkJ264BbQ3wc/gakGjMm5XowBYIACKP4eV7brvqZA8UXtF4Dn5g/IaQ22IgMAoTAoij991r1yyuSk\nH0hA9HTZylF4IbTkhcowV+mU22sWigbmc+XnmQxEJm2bUBWpiAx7nM9eUVvOa1Tc6wMLuv0HymcY\n7grYAGTUfTZI28ukIbgvvb1u22i2/WrLoXkWyiAT+SnKzHjcccdhxYoV6O3tDfy+Z88e3HzzzTj2\n2GMrUrhKk91AKi3XEhUte87HKHN7UcUdMnjZmBfgypN918Oyz5d934Yob/Z+huz7Hswzb2l9P+bW\n9RDtKl9+WemHOma02361ZWLsU1TP7Dvf+Q6+9KUv4VOf+hSmTZuGxsZG9Pb2Yvv27WhpacEvfvGL\nshYqmUzilltuwZo1a9DT04NDDz0UX/va1/DpT386b3ohBB588EHcfvvtOP300/HDH/6wqPNU+wsr\nzHL2//2MWAayZBF4+ec1rQwhZ+fPsmVfGiGC58sukBMV3yXrvVhM+eRxzM0vAAt+QwpuZSnz0uov\np/xZPROA5dZJiNoayZ5czLNEijo/RSmzQw45BE8//TSeeOIJvPXWW+jt7cWMGTNw8cUX4wtf+AKa\nmprKWqibbroJ77zzDlauXIkDDzwQTz75JK688kqsWrUKM2bMCKTNZDJYunQphBA44IADSj5XpWzg\nTsMMhSykeznTdblKcgnHOwRkziFMQ4Z1YixXHuJ4pihg41vBe3sAwaUnI7cgFLVgekRjXhQQRfas\n3NwtS7q5O84ijIFFoxDptEyjaUDTOCDRBwiA6boMBWa7zgthx3KEfOGzaAMQb4To7pTpx7dBbW6B\ntWMzIIQ83o7RKISASKfAjQyUpmaAMQjH29HxUozEAFV3TZ1KSysEY+B7d0EIAWvfHhh6FPrUg+W1\nitx2FWhrmgYmuPSqdEs+SNvUdanOnPRiiPQ1Lofq2RuB7JBPyRG5FB01v7W1FZdddlklywIA6Onp\nwdNPP4077rgDhxxyCABg0aJFeOSRR/DII49g2bJlgfSpVAonnngili5diosuuqikczmNpFJfXNn5\nV0Pm9nwsAF7swxKOz8aZnwVAzh9jzO31CLOE/KMxKBOjEEYmEDqqYHpNA9RGOVZkj48JywLPpMF8\ngYdZLA5FUez15BiQTkm5oRGioVFGy3diPqZTMuo+tz38dB2ssRmqrRRF83gI04Bie0zylhZYXR1Q\nfEqTJwfAbMcKy8yARRs8I6emAQ1NUOwYmlzXITJpqIoCNRaHwRis3e2AELDat4JpGvRDDg2MD+Zr\nX4qj3HU5703xe4D675V9rFPfXLOkrCgF8x4rchievVJlP0OlJ3IpOmp+MpnEww8/jOuvvx5XXnkl\n9uzZA845Xn311bIW6O2334ZhGDjyyCMDv8+ZMwfr1q3LST9u3DhcccUV8gEfAzgTc8uSlxDecjbl\nYgRFE0IEro8xlqPIhK+8QkivxqxMAukHvT67R+rCWNC1Xwh34jJgX5r/+hQl6OqvasGpAnYeLpwH\n8/N9beeDZU0lEEbGjcFZDExRAhPoR5q+nG2PIEabonpm27ZtwyWXXILdu3fjoIMOwrZt25BOp7Fp\n0yZceumluOuuu3DyySeXpUCdnZ0AgJaWlsDvra2t6OjoKMs5HJwH1/niqaYMIdy11AQYEIsGorIP\nK79Uyo2Y4ZjqhpMf4H05snhcKpxMRi4qaS+QCbuHVbA8jgegkK74yHY99+3ndmBg0d8DcA5Lj4DF\nGiASvbYcBWtschfJFEJIb0inRyVkFA9z+xbAMsEbmqC2TgRMAwICpr3iAO/YKydPK6rsRSUSsLq7\nwBubobS0uvlbigoG4U7e5kLIidRCQGlolN6CRkaup5ZMgGs6EI2BpVNAOgUrGpdz4AYSAAS4qgEK\nA4vFoU89GGZPF3hXB6yd22Htboc2dTr0GR8L9KDytdtCcilpXYVrZORqDACErgfuZan5lSpX+9kL\nkwygqPRELkV91i1fvhyTJ0/GCy+8gNWrVyMSkQ195syZuPLKK3H33XdXtJAOlbiJjhkm0FuohmyH\nS5II10lgOPkBsMNBeTEBnXBRgV6NP30JMlMUsJi9irMjRz05O70QQponnQfS4nJcy1f2wH7ThOjt\n8syZRga8r9tn3szY0USE64LPojH3+ngqCXPrRjdCB8+kIAyZ3qkbvne3lx+33Pxk+nSwR2ekwft6\n5EcBIOd3ZXxRR+yPDqeuhZ3OldNJGanEOb9lQhiGTKMoUFTN84jkciyM+erHoWKykcnqAbPSjh+h\nXPVnr4wyMLJnqxiZyE9RyuyVV17Bd77znbzrlJ111ll49913y1YgJ7Bxd3d34Peuri5MnDixbOcB\n8tupqyYLlM192tsW+n3orf/FM/Jt1nUpWeVGLmKQ/Tmu8FmmMyZE4KSMKQFzIIMYPH/GgubDrI4P\ny1u+4Es6O/1gMoQIejxmX88w2kG12l69y6O1HQljNT5jUcpMUZSCHouGYZT1i2H27NmIRCJ48803\nA7+vXbsW8+bNK9t5gNLMNRUnZB9d5a2L0i9uxNURKH9QueWqwyEzK5w1YKvGrPMF0ovAQdljczlT\nAYZyzS/WdFjsMSzrjGx0zIuDyQRRKkUps8MOOwz33HNP3n2PPvoojjjiiLIVqLm5Geeffz5WrFiB\nTZs2IZlMYuXKldixYwcWLVqE9evXY8GCBSNaCdtP9oPvl53/j4rsjPc45TDNsuUnhHBjEhZ7vBsx\nvgzXBwBwXdkhHQ3smIcy0rwFnk5C2ItagjF35WWnPpjtsSecf+0I9wKQq0D7zx2LQ2mbBDDmrczt\nnA+Q42ONTfI8jAGqCtbQCMAzefL+XjcKPoRtGnTy9/UshW1y5L09Mj1gmy+Fd32ZtIzh6Eb5tyAs\nw60bdXwr2PhW2SNTVFgJL60Qwo2pOFhbHZGs6WBM8U114OXNfxjyqD57NSgTuRTlAHLFFVfgqquu\nwhtvvIH58+fDNE2sWLECGzduxLvvvouf/exnZS3UsmXLcOutt+KLX/wiEokEjjjiCNx3332YMmUK\ntm/fjk2bNsGwB+efeuopXH/99QBkL/HNN9/EM888AwBYvXr1oFH8HXu3v2dZLZlpGoTaCJiGjEE4\nQvdppusQmiadDhiTL9CBRMB1Pt/xPJ1y5yMJIyNjDvoYdnkiUXBVBUulADDANGWYp1TSjS4vIhGo\nkybLeVyMgccb5dwwTcqCczDLdGUwJt3pHdk+n6IoUA6cBqupWbq+q5q8Jk2DMr7NDYUlMmnwdBpK\nUzMYY7C6OmDuagfMDMRAP3h/n7x+e36bsB1TYK+KLVJJGBvfk5H2AaiTp0I78GC3/FZC5iESMnSX\naB4P1tQEZsdUZE3jwJrHQ4nFoU06AFaiH2CANnF/WT7TADdNN72IRALXOlT9F31vVBUiHpfXxRTv\nwyEkz0a9yNmUmr7eYaJIVf/KK6/g3nvvxYYNG9Df349x48bhqKOOwuWXX16z4ayA6jfgHGXCeWCa\nwYjzS3gxCQEMrcxKTF+KLOxlVNx9liU9Cn3zstQDD3LnTcmo9AOFI1fYPTjFp/gdZQYAPDngzuMC\nAESjUCdNtgMY56a3erthbtvkufurGlgsHrweeCbB7y9fjutOPdF1NFEn7gftkFnuvDLLWVLGPj+L\nxaE0j/PGP5rGQZmwnzdPTNWASMS7HiMDnsl4jiSaBqZHCrYP51EuVZmRHA45m3Ios52PPpT3d+0z\nC0vKJyxMmtRccF/Rymws4r90p5dWLRmA9KgzTW9pE1/DHUn+wjSl950vckXe86fTgG1OY4wBtgt7\n2a6XS08DYbuBQ49IF/meLvCeLrBIVPYK4o0ymoZTLjs9i0QBVZWehqbhKRZNl5Ok+3qky3xDE1i8\nwY6cL9ctE73dsHrlfnXqdGj7Hyjd0TmXJlDGIHq6pILt64GwLNlLjETA+3uB5EDQ6UPTcfOd/4kb\nln0X6Q1rYbZvhdI6UU7KnjAJattEqM3jAaYgs/lD8J5OqONavCC/slIAxqBO3B+sUUYPYYBcacC/\nVEw6JduG3UNUxrV40U6cujVNL0JKNCZ7+nmU23DlMD0rJBev0OpJmRUdAWT9+vWYPn06xo0bBwB4\n4oknsGHDBpxwwgk47bTTRl7KKuE0lOwHd9Rl2zWfQfZIHI+8cuQPTZN/g6UfGIBwXN0BsIYGAOU5\nvyszuzx6RP7Z+1nTOCi+dcNEagCwlVm+9ELT3HleYNJciGTCVW4imXCuQuavajA790klDcgwUuNa\nAKaAMaksHGXFGIMyvhUs3uiVLxp3e5QMgNB0KK0T5FibpkM/5FCpcABZJsOA2jLBvX/aAVPA/eNs\n9h8TcqyPJ/qgNjZ7S8CYpnTX9yuVVNI7PpWSit/ez42MO1UAgJy47V9FoIxKbSg5FM/SGJeJ/BTl\nAPLss89i0aJF2Lx5MwDg3nvvxfe+9z2sXbsW1157LZ544olKlrFiOA9jKLbcp0jkj6NcDt/5GQNj\no7mSNYKyIl3pB0svfDKECJj/svMF51Jx2SJU1c4f+Y/3xa8EACbkRHZ3v3O8/YswLUBRvf26Hiy/\n4FlR+4MwVfNMoQBYViBiOI4xbvmzpyIg2Gv03Tvvt9GRaTs625Fi/unpMeeiX5Qyu++++/D1r38d\nc+bMgRACDzzwAK644gqsWrUKN9xwA371q19VupxEvTHEQ1vyI539RVt6BqXtzy7/KH5R07d7bVMu\nhVVvFKXMNm3ahDPPPBMAsGHDBnR2duKCCy4AAMyfPx9btmypXAkriNOFd81b1ZQdpwSnbCW55suo\n9SM6v22GLHh+bo0s/8DxWeVlzA4MbJ8/yxU9Jz+nR+Tssx9+93jOZW/L2R+NgcUbIKOqMGkStLjv\neJ8DCecQmQx4ol+643PZq3IWuBT2qtXSdV/KSlOTW34wBquvV16f49qve2G2BGOyl6hqAJNTB6yB\nhJw+4Ljj26GxXFd+TQ9cnxO/0a0P1wHGqb8RTusguapy9l++9EQuRY2Z6bruVuJLL72Egw8+2HV5\nNwxDLuNegzg2aP+XULVkFonIsaBMBkzX5MuuiON5MgGRTEqHCFWF0jZpeOePxiB0C8gYYBEdTFHl\nPTcNCMMEhFwJOce7b5D8vePl+JZg0jAnBhJSuem6HI8aSACcS/NaNAqlsTmve7hwAvna0zIguAwt\nZWQ8hwpVk44lPg9HRdMQmTkLVm83eH8vtP0mg2m6nCNmme7x1kA/eE83jB1bANOEut9kKONaYGz+\nEDAN6aavajA2fQBYJsw9O2Ht3QVr327pnBKJQdF1qK0TILo7wRVVOpTs2wVwDmXceLCm8VBb5Xia\nubsdGOgHMw2Y2zdBmTAJLNYAZhrgA/1AvEFe00DCc3SJRKE0NoExBm4ack6YKUNjycDIqhu82Xlm\nA/cjZHIYnr1alYkgRSmzWbNm4cEHH8TnP/95PPzwwzj77LPdff/zP//jLtVCjAwZDDhaUoMV/X2e\nCcuyF3kcZoNnigpEg+MtgRiFw/hoCRxvWeDJhGfhMwxwO0ahLACD0jRukMjuQq7L5okQmXTgeEQK\n1586rgVK83jfftkL8pfH2L5Z1iMAa89OmHt2uvutzn3uGmwAIHp7YO7a4caEVGJxKONavJd1og9W\nX4+3MKiqQW2d4F6f0tAoe2XOVPCBhNtjA+A5pTiXF4mA2YoMABgX4Kav/jTVW57GrRIWapnwoLoZ\nGUWZGa+++mo8+uijuPDCCxGLxbBkyRIAwB//+EfcdtttWLx4cUULWWmyu+5hlfNtlbZJQIM9sTkW\nl6arPOmEEHKScnIAPJ3OMWHkS+8oIrc8mlYwff7j0wEZjnnMubCGJqgTJslpCICMBNK5DzyVBOdc\nrjeWHIAwTXDb/BeoEyMo81QSvGOvNCNyC+beXTC3bQIf6JdlSCWl16NpQpgGMps+QOa9t2HZ0fBZ\nQxNiRx4DZVyLTJ9OAgP99rIu0utSm3IQWDQO6BEobROgTdwf0HUI04SxdRPS618D7+sBTyYw8PKf\nkXz5T7B6uuV9MTIw27faZk4LyKShxBvcWIwinYLVuU9GX+EcPJm0A0ZbtknSC0gtnAVRncpkLOCO\nP2Rb4paMdGIHpB4qfb3Lo7Ed6pnMVz7Co+h5Zv39/di4cSMOO+wwxOMy1NCWLVuwdetWnHTSSRUt\nZKVwuu3+KqhdWUAG21fy7g+4/gNygUq7R5E3fXJA1o9dT85Lt5jycM6BVNI7nnMg5csPgDphPzc/\nbpkQPtd5AFJBO2ZJILjlPOCKz4UABhKB/SKZkJ1UCEBV5fns/Hgmg8yH/+eOrbFIDJHDDofjqm/1\n9SL16oveqgOqJj8aFNsjUtOgTzkYN//kTvzLNV+H1d+HzNtr5Tw6u/dotm+TvWTBobRORMOJp7pK\ni6mq6/oPQCqlVNLTS4oTXsuW9QiUljZHcjtustrl9TkLjhaDMAwZKd+uMKZqcm5bmQnPszG25FJ6\ncIXmmQ1GmOegDTbPrOiV/To6OtDb2+sqMgB4/fXXMW3atJGVroqMtjttZbcs16Xcv/UvBwMElmvJ\nu/UpFsbY0OkHOd7WiEHXd8U39QDISu/73Tvc54AoguY3OyaiZ37ktmK0XwSKGshfZNK2opH7WcRx\npbf3p5MIuPJrmqsIAXgT2h1zYmrA3m8r63QKsONHAoDS3Oyen8kKCMhMeNcjlacKJ5I9A8A0b6K7\nX5HJIjB3fFHuz/3L3ueUi7FgWyiYfpgybYe3LaYeiVyKUmavvfYazj33XKxatSrw+zPPPIPzzjsP\nb7zxRkUKR4xlSn0oQ25eKXvxhsow5PVBEKNMUcrsRz/6Ec466yz867/+a+D3++67D+effz5uvfXW\nihSu0uSzU4+2XLbtUPkqqud2D7iu8gXT+0wcMj0v8fx+EwnzXNdhmwltt3cAEEyRYar8+x239jzn\ncxShW59O+ewemnDMoXbZhWl4+4UAUxXpOm9Ztmu8HJdzpgOwBieivj1dwA4z5uTPUymAS2cbAUBp\nbLYj3iu2CVcuVApVBRgD77XHzJzycMtXfvv6nX1CSDOgr7w8nQq46ue0J9MC4LWt7L9AWrstuOfz\ntYVqPws186xVeFtMuYlcivJm/L//+z8sX77cXWHagTGGxYsX45xzzqlI4SqN3ybtdN9rTrYs+fKz\nQxjBdqbITq/E4/KFbWSkx5yiutfvN13I/DK22U0qIUWPBMbL/Hm76S1Lnl+P2I4ZjonPPr6xSbqb\nJ/rluFXnPjcGo6IoEG2TZIT5/l6ITEa66zc0uW7oAMCd+WeJXsAwpKu/EDB27YAYSEBpmwh1fCsU\npkA0NMlxqEwaIpOG0d8PRHTAspB4fhXMPTsRmT0X+oHTYHXshbnxXUQ+MRf6AVPAO/ZCmzod5o4t\n4I+DbDwAACAASURBVF0dMNu3QRgGIofPhjphP4i+HqR2bQNPJ8GYAqVtIhpO/BzS770F3tcD7cBp\niB45D+n3NkAMDCB23KehNI1znTkY5zKSfiQqlV46JevELq/ZvhUQAtpBh4JpGszNH0AAiH3yJBnf\n0cjI6o1EpV5PJsATfWDjxktFZTvGFFr9W9F1CFUF0mlpHrU9aJ2lZmBk7N8Lrx5O8vDkwLM2QpkI\nUpQyi8fj2L17Nw466KCcfbt27UIsFit7wUaT7AZSS7LwxexzXMoLpWeaFojZl49AfkDOvLJB01sW\nuDkQtP/7jldiDcGo/Omku64YY9K13ezYAzhfn+kk0NAoe0kAmODgPZ3ufpFKwmjfDtdVPtEHjGtx\n84Oqgad73PTmts1I/Pl5N46hufF9MCHcsUZj0wdybFFR5J8eka769rw2c/tmMKa4K2WL5IBUBHav\nLDLjYwFX/NjRx8ugv0796TpE2vKuP5MOjPWJ/j6Yu3a412NufDew39q2CcqhR3j5ZVK+/UK69vtc\n84VlQlHzu+ozRQFisWBbcj6KANnr5NyL6J91PMnDkweDFNXIKMrMeOqpp+L666/Hn/70J+zbtw/J\nZBK7d+/Gs88+i2uvvRannnpqpctZUbK77tWWS4FFY7JHBLjecsUiLAsilbJdz335KU5+aoEjs87v\nnFdVwWJB2T2XENK85k+vqBDptGve48mEp8gAMD3qKjIAgBaBOukAL+hwNAp92nTPtR8MVk+XG73E\nTPRK93bHRKpHEJs7H8xeo401jw/mLzisPTvthUk5zN5uKPFGr7wWh7l3pzRb2uU39+12o5lY/X2e\n67zgMDv2wNi2WSoJQJo/I57zCGudAHXi/rIeOIeVTrnXBjCwxnFQnDIyBYhEYfV2e+bX7Juhqp45\nyjSR+fA9pN9/W66a4LsPfvwy0zTf+ZHjGTvU8bUoh4mwlM2J21hr8RuLcs3v7+/HV7/6Vbz88ss5\n3d5Pf/rTuOOOO9DcXNhlMqyEpfGUBSGCL+YCOKZCYY/DuL/bStE1vdr5+U2x/uNz5Ozz+2QhBJBO\n2as2i6z9DIAA7+6U0UIcU1jrhMAE4sB8LM7BfT04YVkwt21252NBCLmcjT0WZPdFpA+kkBOlza0b\nZTkUGeJKicc9pcU5rJ5OwLTkfCzLklHzmb1ESyyO2CdPwr898BD++fJLvegbzliHacLq6pA9LAGw\nWAyRQ4+w00BOFWhtkwqKMfD+XqRee8kbx2RMKlFb6UFRoLW0ueNyTNehtk706ltRwGINbtXzvl5k\n3ttgT3JnUFonIHb0PKBYp5si2xIxOEU/OyXKpfTghuOan02YXPVHvARMU1MT/uu//gtvvfUWNmzY\ngL6+PrS1tWH27Nk4/PDDy1bQ0aac9uuqyyVcjzM+EsBnfmTOS9Qm+yHKK2efPyALb86Wo+B8+91x\nGsB1TWeaBjd6vP1Cd/MTXEasd0TLBBAMe+WYy3wlcM8vLMuOVG9PFnaUhJ2WGxnADuHFZOW5ygqQ\n64lJRevL374+5hwvPMWtxBu8sjCARSIAU1zzJu/u8ua8Ae76bE7e/g8NwO6x+q7NWfvM2W/1dPo+\nVATU1jb4I/GXsy2RXMSzVqLsZ6j9hEdRyuzHP/4xlixZgtmzZ2P27NmVLhNBIDhxLA8MWXa27B9y\nEgxxfKn5j5Dsl9KQ2dNLrF4gR4/hUdQgy4MPPog9e/ZUuiyjjju+UI9b5k4pdheV9O8XooxuzXyo\ndADAPAtktkt+tpxVXmcSsns9gtt/vvP49oMx6frupOdWQGaaHjS1KYrsaTk9v1QyR7f4dZGzOrcD\nz2QA5u13esVO+Zjdc3PLJ3hQt3Er63jTPV6IYH5CCCixBvf+CgBiIFFwmgNta3NL5KLeeOONNw6V\nqKGhAQ8//DBmz56NlpaWUSjW6OC3SbOs8aFi5Oy8akrWdfmm41ya9LJewKXkJzIZIJ2SguJFo5Bv\nWg7e3Qne1SGVjqbL4MDOysxg4N0dEH090rSmaWANTdIU58c04GgQ3t0hAywDgADM3e1eAGDBkXn/\nbRgfvSvziUblPLFMSiosy0J6w1pkNn8AJRoH0zRYe3fB3LMTatN4sGgM+kEzoB18KKzeHsBIS3f/\n8W2uI4e632QIIfC///c+/u64eVDGt0JpbHZjOOqTp0A7YCosOwi0PnmqPJdtLlWax8n6FlxGvTcy\nUJqa5XQERUFk2gwoLRNkuVUVkakHQ20aJ2M6CgFmmRDptAwqzOzQY+mU68moqIosz0ACLBKBPuVg\neT5nXC+dAkzTnQfntm1n6ZyUPZ6qqQDYsJ6NSsvDbatjUR6M/nc2FJ22EMr0WSPOo1w0NhYOu1aU\nA8j555+Prq4u7Ny5E7FYDI2NjYH9jDG8+OKLIy9pFRAiPPb1WpOFkO7gflhDo7ffMmFu3Qy3T8EY\nWLwhsN/at9fbr+nQpk4PRM0PnM80pFK0myxPp2D6XPN5fy/S76zzxssaGqEf8jE3P6urA6k3X7UV\nI+Q4VEOj28nSJk9F/MTPQbHXlrN6u2Fu2yx7RoAcm4rF3fTLn3wGN15/vVdeO8ahW17DAPdF9Wex\nOFjTeNe1nycT4H29gU6egK/Tp+kyUr6dH0/0w+r3pdcjYJGYZ7HU9WDUfD0SdNXPupfQI1B8Hw08\nlfJc8wG53IxdF/mOJ7my88ZKTZ+PcjiAFKIajiEjdgD52Mc+VrbCEJVDcC57D7o+yDIqpR0/5MOj\n6/IrX/jMck5+lgnoWsH9UBQoLa2yV2V7IvJEv5wonaf8wsnHgXOweFx6GgoZNR+q6r6QrZ4uWG++\ngtjsY8AiEXRt34Y9mzZiyuTJ0DQNLBqDEm+Q68FBRtrIvPcWoocfKXtsvd2w+nuh2ApYmAZEwoLi\nKGzTgLlzO7TJU8EURU4LsCzoBxwoy89kJHvYrvHSKzIBxQ4iLOxJ0tAjOfUshIDo64FgDFrbRACA\nsXc3RDIhl5FhTEYFMTLyftm9vsALzycLIWDu2QUoTEb6B2Dt2w0lEoU6YZI8pxNTUtVkHiW+OMOE\nEPaqD5rmxq4kxjZFR80vhGEYaG9vx8EHH1yuMo0aY8n+7EZCh/1lH4nmmA4HPz4jo2o4x0djJb0E\nhGm65xNCyAnMyQFb9wgvQojtAsj0qL26toDgwnO1d8xejmu+k19fL5BOuiGfkE7KEFNC2KbD18A7\nOyCEbUp86w1YHXvk2JGi4iOuYe/WzQDn0DQd889aiNj4FvnCtyzZ4+Pc9qTUoU09GCLRD2esTGls\n9hQyY2ANjfjhY7/Fdy84R0bVH9cipwMwWXfx2ce48+wE5zmT0UUmbUeul5O2WdybHC5MA9budnvJ\nGyZXuu7rghgYkHUZb0Rk+qG+KPy6dPW3pxlAkZPVnRW0eXIAxvvvQGSkKZjFGqQZ1zTlvWgaB33S\nARCOd6cekZFGhvFBFAaEaQAZ37OgR6RZfYxQSu+MemYl8NFHH+Hiiy/Ga6+9NtKsRp0wmRhGLPtd\n2wHbtb2U443A8UqWIhzS5OE/n5DjOIDzfmYQ/sgjjHm9CTAAZsBtH4oilyVxZMuUkeyd8nHuTgRm\njIEP9IN3dcJxnOD9vbA697qLifYlBrB3T6e7Inrjfvsh0uwtAiosX4/PVrq8r8cz59mrbjP72vxu\n+uAcYBw8lbT3A6odq9Etf1ZUf2Fk3EVFmZ2/v+55ol8qRpkaor8Por8fjjlWaZAOHp75Mho8n6ZD\nLmcjZWvvbhnZ33d+d1qBcMZPfasqxIIfMlVv2yU/C8G2XPKzEHJzI5GfopRZOp3GHXfcgb/85S/o\n6uoK7Ovu7sakSZMqUjhiDFHqw5hjlmQABulJKwzwL4TNFAC+SeE5Zrw85StnT73kvLLKB+YtYQN4\n8+RyUhbILXC9uWVhg0hEdSHlNTyKsiPccccdePzxx3HYYYehu7sbxxxzDGbNmoWenh58/vOfx89/\n/vNKl7MiZJsZhyuHYst8rvbSFld6Ps7x9m/DLo8vn7zb7PS+qPEApCs/80ftl4rM3e+Y42wZqibH\njxxZ0wKODJqqgnNPsZkZA4rvXcHs9c4cBBdBWQwu+ydPA3ZPz//ljSC5qkUEf/VNmPZkX36WX2tD\nmgv9q0X7VhwA4PbU/OUNlNi3goKUeVBG+Z6VcssVexZCviVyKapn9vzzz+P222/HSSedhLlz5+La\na6/FtGnTsH37dnz1q19FT09PpctZMZzG4QyS16wcj8so6JaV4w1Y3PEN8nhuH++8FIo4XlgmYBhg\nesQ1J7K2SeC93W4cQ6df5T6KyQEZp1FVZVT9A6fB2rcHyKSlB57v/ExVwVonyqVULFN64EUngvd0\nQlim9AhsaIJI9ENwS4aSYsw+mUCDrmP2/hPxQUc30oaJZjONgbUvo+GoeVCicaiTp0I7+FCk33lT\njm0NJGAmB6DtP9k1OfLuTmj7HQCoKqx9HbBMQyoMpkA7aCbUllZkNr5vO3swWN2dUMe3yjG51IA0\nGzqLelpWsJ9pmoBIuiseCM7llAJn+kLMdkDpk88Zs1eVlkvlWEi9/SZYLIaG404EFAXGts2AriMy\n/TBAUaC2TQQsC9auHYDCEDn0CAjGYNkhvZge8ebIAdKEm04FVmAIVVsfSo7FAXvZHqYEzXmhKN8I\n5bCQL25jNUNfFaXM9uzZ43o0qqqKjB11fOrUqbjuuuuwfPly/PrXv65cKSuE00icLn1ty3LQn3Mu\nlYnTeyn2eMbA4vJ4pYBrfPbxAAKu+SKd8lzzNQ1sfAvQsderb8AbOxJczv1qnehFZj9gipwble/8\nug7W0gqRHIBin5/rEaTWvgykkjKNkUHilb8AyeB0AUBgXCyKYw7cD6YAdIUBvd3IbP4ITWddCNWZ\ntHzYx2WMRHv80di+FayxCcx2jDC2brK9Je1eHueIfeqz7vEsGofV2y3rz8jA2rfbXaZG1lV/YOws\nUB+WCd7TCW4YMpK/pkFwHTAMeb2xBqClDUpDMxRN1ldmy0cwNr7vTh1IJFPQ9j8QzlQFQ1WhTzoA\nCgBlwkToUw6SnqJ2fZuxGJBKefWtRzzPSsuCME3XNT9cbb0IORoD14f5LFRJ9jNUeiKXosyMzc3N\n2L17NwCgra0NGzdudPdNmzYN77//fmVKR5TM/2fvzYM8Oa77zk9mVtXv7runey4MMBjM4BgAJHiJ\nJOAQbNE2bXlhL8UwgzYRJKVdQ4dF2zS5EsNSkAwzRHIphYIg7eBhroLmShu0ddCUdkVaJEVQoAQR\n9zG4gRnM2dN39++uysz9I6vqV/Xr7pkezPRMD6ZfkOh5v8zKysqqylfvve97L/vyvtrjz8SvoCxQ\nwBgHXog3UyGEq7mV65/5frI2RfQBbgNtNdb+Ag27mPnZXnvYdV/g2eFrAz1GSkQhf35J5gtXKafN\npeOFeT+dEKlgABDlCmok4x+W0mX9T46PC3YmZBp19NxMhl9GL8z2Lj+KYsRizOsol+GeMEyBPeAS\nCJvM8abZyLWLUimH2hNxHbocZcyPQoh8CIS1uevlMt84z/dd2KLLi9almd1xxx185CMf4etf/zpv\netOb+OxnP0u1WmVoaIivfe1rjI6ObvQ8N4SSTah/83wt8smX3avhgVXbwX0BYy1mcR6z6MBBZk6i\nJnYgggJycBiMRteXHULRDZDGhtmlBYSUGGMw06fchqo81OROtxkDxhii40cIX3jatfsBsliKtRKD\niYWi8H2KN70OvXc/4bNPphu70RHdmWl0LDiElJT2XIs/sYPwxacJjx9BFIvo46844ef7LtQgEQxS\nEuw/SLDvAFgXTK2np5DHFomOHUbPVpC1Wgzlt2ggPHYYffwIIOgODiGLZfTUcUAQjozi77ku1QBN\nInTiLCpaCEx9GRpLYCHyFNGpE+ipkyBATe5ClivoU8ecf6tUofSmt+PvuAqEwLSayIHBXmb9MMSG\nHWg3Me0mBEUntOJQjpSiEBGFWM9H1AYRmZIyG/lsvtb5C/GurfbubVGe1iXMPvKRj/DhD38YYwz/\n6l/9K+677z4++MEPAs7s+KlPfWpDJ7mRlDVBXGo+Z767jHhr4xIuCRmLCDKZMKRCeplMEtg8Ui8M\nMTNTveOxiBS6D7bVJHz+UKpVmMYy+uhhUq+TMamGJpRCKIUsFFItyWqDjuHaALI6QLBrj9NKjMEu\nL2CmO+68ENcdC1JzoBqbINh3II17k7VB59cTDgFpOi5XY9Jfz0w5QZbkQ5yfRTPXm682DpqfXF9f\nWIVtLEN9Ke0fnTqBPnUi1Zr06RPYoJi2B9fscymrYi1LjU8gK7XM/TH58ZN4M8j57lLzZ7GUg7Nv\nhndjo/nN8i6th9+i1Wldwmx8fJyvf/3rKf+d73yHBx54gDAMOXjwIDt27NiwCW4knc2kdrH5zUTn\nNrc+s6DACZJ0DLuie9Z31OMy22q2QybJbzp8prvjRSq8hLUuditJa2Wt03ySStxylWvLHt/Hp3XI\n0q4iRWC6/n3j5a49/kmA6Jca2evpm07Ot2btih45qH6cbSQ7vxXPWt/4Z+TFpX8XruR3b4teHa0p\nzO6++26+8IUvMDAwsKKtXC5z5513rvh9cXGRf/2v/3VO8G1mutRfWJeaPxOdW9+Vx5I778pjsiPb\nvu18xfFCgrH5/plBbSI8U15gje7JQiH6oOs2NwE3XqY9nnR6fF/tN1fk0+R4kZ1z//kgBYGk58/0\nT01MIr8qKSWZPTLCXmSErdUmP56xZ38W6L8HGd5e+mfztc6/Vulslak3Eu24JgDkJz/5CVHWGb0O\nCsOQn/zkJ+c9qYtJ1uYhrxeLz5o4LhWf/PusvHFmMRvHH/W3C+GqGSebrlCey2OYtBuNDXvHozUm\n7GKty4whPR85Pum0KSEc2i5JVWWdydHfszcFm8iggBybSHMPYm0aG2d0RGt5iZmpKbTWGGPohCFL\n7bbzrQkJwqV4svFxSOWQfODm1Gpi5mbSeK3w5eep/+D/c2sQhUTHX6Hz5EPORGkMZmmRaOqky72o\nNUZrTDx/wJknk/EBszhHdDrpHxEdO0z3hacdAMQYTKvlwB3x8Wp8EjW5062v5+Hvv4nghlvTrPfR\n7BTRzFS6vnr2NHpuOq2SHU6dcOeLBaxQnrtH8TOZ8Okz2ldSxna7Dqxyid6VC81fVu/eKvwWrU5r\nambWWt71rnflYNpnI2PM2TttIkoekkv1hdZ//s3GA64cSAz9tlGUy4qfbRd+gBzd5pIHJ4l5jcYs\nLqRAB2vaDq2X8FGEHBpxgA/h8h/adivNrG+jCLO8CGHX5Qrce4Do2CsghYOrK4/oyAsOuAA052Y5\n+fBPaJw6DsDC1CmCYpF2w0H1TVBgx/4b8AeG0rmLUskFUAcBptNCT53ExtB+PT/jNpBmg/ClZ+k+\n+wT+9t2YWeffC4+cJDp2OM3C3z55FLodN2eAYgmqA2nogREC0e2AtZjTJ2i/8hKmvuTWCNCnT6HG\nxlMgiFUKMTSClIpgz17kLbfhTezEixMDe+OThCePIgtF9KnjmFYTVam6mLLlRbpHXoJWI00tRhDg\n7+j51tAuuXOa1ktKZBCkgs10Os5UG2+gFl4zWfQv9bu1Gp+l9bybW5SnNYXZr/zKr1zMeWzRJaBE\n68rl9VvR6SwfKDYP9aZQzH2JpuVWEjJ5k11qMnMD5HI8Wutqb6Wbr5RxjFTGgd8HLY86vYS+URTR\nqtcpxOMZC6FUJNux1pp2vU6tWo2npokadVTsU4vCkGarRVXFCXsby4SnjqP8OAGy1phmIy2jYrsd\nbH0pMx2b90XpCBt2U5Sm7bQxjXqvf6ftrjddq3xOR1mpIYeGeytXLObrvmndi4HDfSxk198mwknG\nxyjV5yuT5DKFxFrvFl16Wte7eoXTeWfNv5wpe+nJl8+VwmPjIowxuEIUi7mNLNvfxmhBERR6mdqz\n42ndKxyZCBg/cJnhjXEbbNQF3x3vNv1lhxiUMk3kq2em3OZbqqBqAy5ZcBSB8lz79JQTCODMkO0W\n1hpMs4GZjs121rB09BWe+qu/5OWlFpG1DAceOzxBFG8CIzt3o4ZG+cnjj9Ptdtm7dy8Hr9rJ0lOP\nY7odirUB5lDcf/QEoTZcNzzA64eqRN0OFigMDlHZsZvfeeplPnrHmxEDA8hy1QkyazOerXipS2XM\n8iLRcw6RqbbvxJvYkZa0MY06QkinlSXr6/mI5MOgXMPbvhNvbFvMV9BzM0QvPuPW1w9QYxMu04cQ\n2G4XOTSMt20HWEvnxWeIjr7s5qMU/rU34F9znUN8EtcxazXc2gsB5Wq+7lyn4zLx+30FU9dJl/pZ\nv9x5rInfVWcml+Uy66WNzJr/auh8fWYbmjX/cqecFnGZ8Fnb+avm4/IsQoA1FiHkmv2R0pnM1mg3\nfaZoqw2YNti4v1KgesfjB4hiMf3oN1EXM92D5ttWA53J4mG6HUwmk4g1BtrNdDwRBK62mRAIobDV\nAV5Yjn1kQCMydJVKwwFOHD3KkedfTM8//cph5mZPpA7kE/MLPLDYQscd5pst2kUPFUsnIyRqaATB\nYcBiGw2M1isQgun8p04QHX25B9VvNrFh6NZCCNTgcK6oJ1lBBqhqFW90POWjoy+jTx5PtWI5MIga\nGUs1WDk+mePTMAfr/JVC4MyJyfmiEBubaom1SbeWcXss9DbDs3+x+Qvyrp0Hb4yBVivzrl5erpyL\nSZdnwaILRKvZqS8H/sL9pe9vrz27mb2qca1dddyEbPa8NmtMYwVUPYcUXK1/bH5JKIpCVMa3I7HY\nDBxfG50KbwBpTA5qHxqTy4yh+o6XfVD43kX35p9rjyLyiX5Fvl309e9rFzHQI3MBefOuVH39ZT6z\nh85nJllRvDVT/sVd4CrQ/iuU3zx/yf3dopV0xWtmW7Q6nbez+SzHrmw9i7V7hTXcnqFdYLK+o1WO\ntyug+BnhQB7MZAGRgfNb8qgyi3UCNfmy7z+f+6TOz71PQJ/p2lZ4AvoOW7Eytv/+9R2wGnQ/22vF\n8Ree36IrkzYSun9Fa2aJSp/6hq4kPgMVBxws/FWOB8RVo3vjpQi55Jh+aLeX6a88ZOLvSY5PqjTH\n7aI26NqNcSjJZiOFztsYom+tc5IPDwywd2wEGWuXXQtdk2iDgqqnmCwGSCFQnkdULBFs2w5SEQGB\nlETW9ZdCsNjVLEcRxjp/WHtulvrpKaw1DkSyvMzi1CmM1uncwvm5OKu+QA6PIUe2uRAAKTGddupb\ns9ZiWk1MYzl18DszY8kJOykxrWZalsVai6jWXM7LWIMz9SUHn0/uS2PZFQA1BmsNamI7olwlAXhE\np09g223XHoNG0tALiBGqJn+/+u/3efKb6l3YxDyw4t3aotXpigaAwMZ/gW5m3lrrfDe+l5rd+vv3\n0xnHiytAJz4aoyPs4kIPUSdlWs4kPVZKlz5JSkyjQXT8sNvME8GlIweGEIJofobOU49iZk87YSAV\nwvNd8l1r0a0memaK6MRRMIYTyw0OTc9TFE6IlT3JeLFAzXdlatrlGuHETq7dtw8pJS888wwPPPgg\nTy+3sMA2X7G3HDDmOaFYkpKy79GJ4y+/Ptfhf7txL7PHjwKwbXKS8dExotMnASgduInS/pvSUIXw\n1HHM0iJyYBAhBLqx7BIdxwhI/8DNBNdejxwacdevI0RQRI2MuvVstZwgjFN3uRIxFhE4/5ocHkVW\nB3qpqJIkz12XDFkvLSKkQNUGgbiWabuV5tRUu65GDQz2Ys4KxVzF8c307L4W+X4607u1XtpsAJCz\n0dk0sw0FgDz88MM0m01uv/328x1qiy4yCSGc/+QML0d/SZgzjidlbjwhRFrPDMib3uL+WdScCIIc\nYs4hHXs5EoXyMPOzvXHCLnp5sWce0xHRqeMp0KLqe1R9D50GAUPZ91LrXq0QMLR3b3p9tlTmpa7J\nfQGPBF5aAqajNUKK1JwRtdvMnjyR9m3Nz9E1Om3X7RY26AE55MAgCJkCUWwU5UvoGI0YGOr1rw4g\nsjkWYw0qvd6gD5hhTD6nYqavEAI1OJQzOOrFeWg1e/ffGKc9phO6or9zNxX1v1tbtJLUxz/+8Y+f\nzwAf/OAH+a//9b9elnFpWaVUiM0Fx73UPOAg2bH5KVvqZX3HW1feJPnKtxZRG0TGtb+wFhJoPoDW\nRDOnHbIuHo9CsQcfry/TfvRvnQkNQEfo5SVot7ACrDXYRgNZqSX2QWq3/RR73/xT6EgzM3WKVzqa\np5caeFJQU5LFep3Tzx5C+j6ep2gfeowbZUTbWoy1/PRolXFPYoAXml0+fmSBLx9bYNiT3FAr8YKW\n3LVnklBrZKnMtW98C5Vde7DdLsfm5vm/nnyJ//dH9zMyNMg2X9F64EeEr7zoKg0oz2XZlwqscfF1\nyiM6dgRZriCqg+4rPIqcRhtFmFiDEzhB1HnqEfSJo8hSxa1rt4NZWnBJnoslZDEuCRObL7O8qS9j\nZqad1iwVslpDDQwhtDuf8P00hu3VgCc207P8WuTXS/VDT6y772YgefWBM7ZXKoU1285bM/vMZz5D\nu90+32EuGSUPSvKwbPEx32z00v/qCEFh3cc7OHEzFUrWD1ymDxJtMEh9dkIITBShjx12ZpXkviQF\nL4UDczS+96e9TCTaYGZneoCLjotbQwiEkKhtkwS7r3abMrBt/wG+//AjmNgn9GKjwwCxxmkt0089\nRsOdDF8K3jZURloXriCwnOhq/v0Ls3RxH0A/bET872OjqIVTKCm5atdugmuucxn7geOlAb728mnC\nWEP88V/8T67dO0nyORAefwVv23aEcOZLW64hSyUn4OOinv6ea+NNy8Wh2U4v0300M0WYxJgBeu60\nM01CGvMnRsd7HwrFXsVogKi+hD59MtW8ZLXm5pNWGJe50IBL/ixu8Tl+i1anNe1HjzzySFpR+kx5\nGm+55Rbe/OY3b8zsNpiy5rCtv6v8Tdbp1a5Xepw8c7/kZV3jPHQ7TnAl/azO8SRIwmRzjrXB9BHY\n7wAAIABJREFUZLx2u43yvHQjUFgHxU+O1zrHe4DMxKVNdyJ8r1fbazTwiITsZebwfYTsZdNYbLVy\nvqaKhCz4vR9qL6QgF7Aex/SlZPOmT9tp54ts+vmvVeEHeei9yEPtbRjmTIgiKOT6C0+t+Pq/5M/i\n1t/c3y1aSWsKs7vvvpvp6en030tLS2t13aIt2ng6zy/SlcGm/eP18X3n033Hi75225f2a0We0rPO\nfwO/uLe+5i8r2hJYr47WNDOOjo5yzz33sH//fqy1/OZv/iaFwtr2yt/+7d/ekAluJK3wEV3JfAxx\nT0lIrNGAcEqE1i6TxzqOt9Y6H5vWsanSrhw/c7xVyoEZOu1euRRrXekWQFQHUNsm0adPuRCCWIty\nYwvnbypXse0Ywp4pxGmB0eFhRqoVZpeWMBbaVqAKRVdV2VqMEKhSOYanW5ACr1RBt5oYrTlYKTAZ\nKE52IbLw6HyD+XYXDWigu7SEaTSolMt4UnHt+ChDgceCNUQGXlhqstAJGSr4eEpi2i2Utb1A7yhK\n10coRTQ3QyG+vgQiTxRipXK+x0rN/RavTzQ3jZrY4Uy3UqHrS6gxl/SZBH4vRJplXw0OxUAap9Hq\n+jIqTl4MQLuNTUIDLsSztcWfM99P2fYtYbc6rQnN/8EPfsC9997L4uIiJ06cYGJiYk1UmxCC733v\nexs60Y2irD16LV70vdSvKT50qYwSkACel26ugIvx8v1e3FfmeLfJRrHZKk6CWiz12rV20P8M0CN3\nvDFx8l1n9jLtFrZZz5nJEr8dQPvpx2j+8LvouRmIIkTs6/F27UEEBVeR+eRRvInt4PmYpQX0zBTh\nsSPYbofDSw1OtkPecN21lIKA+uICzXaLiesPogoFmlMn6dbrjNz2ZmSxxPG/vo+pxx9hph2ireU7\ncw2ebIa8pVagpCTPdTR37xnnr07N0dGGd958PbdObiM8eRQTRXzr+AyPLTTTa3j3gau5bccE/vBo\n3gwYk9qxG29iJ4UDNyE8D70473I6Hj8SQzFrEHboPnvIVSoYGER4HoQhCEnxTW/Hm9yJrFQRQmCF\nwLSa6JPHQAiC/TchyxV3z4zLaUmhiL99lxNciTnXj1NdFYrOD3iGd+NC85vq3djk/HpoC5oP3Hnn\nnWkBzuuvv54//MM/ZHR09FVOcXPTWv6BK4FsHLMEuK/4Tid3/bmcges4PktCqbNm+baxXxac7wYd\nrZnj0Bvd5uDksf9WIBxQIvZPeWPjzleVmPysJTx62JWIEYJrxka4dmg0HX9g2wRDI2MpX73qGuTQ\naKqQBJO7mHvscQzu+LcMlJgoFVKo/+lWl++fnE9Nii8deYXrdAvfWqQQXFMpcajepRu55MhHOpo3\njIyTWw4h0/mq6gCFG27uCfJG3ZWYiTd9fewwOhOaYNstJ3DA+dWaDVS197JHs9PYhbl0LfTCPDKB\n80vpBF+50rsXQd+9XmXz3Gj+SqattTg/WhOa/4lPfILbbruNQqHA8ePHufPOOwmCV5c1+3Kgi/3S\nXgy+3zSxGi88H2IzIMpDFmNUnU0KaUaOFQIbduMAXNLCmML33WZsbQov7z9f8m/b7aZf/xYBcZYK\ngdPius89SffJR1wG/1LFna/TiU2ehu6RF5G+j+m0sWFI4ZY34O++2pkzo9CVU4nj2qy1WB2hhkZc\nUuWwi9q+C29oJNUGdX0JPX0KWShhhWTpmSdYeuIh/KEROsrjG3/+P/nxK8cZVIJBX3Hd+DC3jg4y\n0+qwFEa82I4YVAIloCgFByoBptul6HlIASIK2VdQTHUiNHBzUdKdm6FSreH5HnTbrrablKA14dGX\n6Tz5CP7OPQA0H7wfPXMaWSwiimX8vQfwd13tCm82GkSnT6AXZpHlKrJURo2NYxp1ZLmK8H1UbRA5\nMIRt1BGehze5y5V9ES7+T89Oo5cWkJUawvOQxaIzRRoDQuag+dbElRGiKB3jUj7bm41fz7t2Ifn1\n0pUEzV/TzHjrrbfy+c9/nre+9a3ceuut/OAHP2BkZGTNgS5HQbfapV+KB3Mz8rbVdIJGiB5EP/NX\nlsogxLrGM8a4eDBrV4wjABOGtH7wZ07L0xq8gOLr3+wygQAmiug8+oCrxWUMFou3a68zgSmFCUPC\n559ym7C17nzNRnwSV33atppug8YVnQxfOOQmYA1aG5anT2Nj3+BsZLn38DSRdTXRJks+v3bTNXie\nQljLyUab//TsUR6tdzhYCRhUkr8/UsJTCmENvhSMxllVrDW0tWEujFyQuLVUqlUO7N+fQuFNt4te\nmEtXRZQq+JO73AJagxqfoPTWO+OAZkv48vMs/48/SDU0b/tuKn/nHXEsoEANjxIcuAmH77JpP4SA\n2PRolxZSyIk3ug1/3/WsRTYM3YdHfMOE5zkt+gLTZnn2Nzt/LsLscjMz9lO/2fFVmRlvueUW7rnn\nHsBt+onJcTUSQnDo0KFzneclp7Xs0f0PzRXP4/bDZLmE63QO45EKstXGI+z0BBkgPJUKHsBpc1qn\nZkwRFN2GmgIowlgwxZqgNU4wJTwiDk6ON4awC0KCceZKE3bdpOLzT7ddNegocvx4oeCqMMfHz3ZD\nlOpB9Qc9B9xIMoV4kIIvEqGtlEoRlaViEStEioi0SR2x5Po8D5vJZC8Hh2NzrbsaPTMVa8/ueDUy\nmsbUgY19ZolPzvnOsttfkpUlvR+1gTXfBSAGAmXul1Rn7n8e/CV/1jcBn6WztW9Rj9YUZvfeey/f\n/va3WVxc5Atf+ALvf//7qVQqa3W/oNRqtfjMZz7Dfffdx+LiIvv27eNXf/VXefvb375q//vvv597\n772XF154gVqtxh133MGv//qvUyqVVu2/RZuBstCOCzXeq++/un1i/SRWQPvPb7wt2qItOjdaU5gN\nDQ3xvve9D4AHHniAX/zFX2RgYOCiTOqTn/wkhw4d4r/8l//Cjh07+OM//mPuuecevvWtb7F3795c\n38OHD3PPPffw0Y9+lJ/7uZ9jZmaGD33oQ3zyk5/kt37rt854nn4z40bwWVPBZcVL2fNnEWtXZMyD\n1mBx4I5E47DWJQ5249lY+xIO7n6G8xGnX7LtlvN/haHzzSTgEd/LzMc6Tcxop3EI4cxr1vbmZ1yW\nfoRIfXtWxzXFhHAQdmshNgMapYjivIvKWrYFHtIafKUIteZ0uwNGYzwPaS2TpQISB/IQCJa1RhiL\nUBJrLKG1TpuRLvDaEyLmnVmx0Wg4pGfsexJBATKprWy34/yQQoEAszDvri/W3tS27e5Khfu/np+N\n1SaBxWKWl9KM/Yk6lX0ypV/AiGZ6H8ziPHZ8Mt8/+yzLOMwiMTNqjfXyW8fFeJfOxm+ad+cC8MCa\n7Vva2eq06bLmLy4u8va3v53f/d3f5Wd+5mfS3//pP/2nvPnNb+ZjH/tYrv9nPvMZfvzjH/Otb30r\n/e0v/uIv+NCHPsSPfvSjM/r5oPdSiL6X+ErnIfaVRA5ab6VyKMKYR7mMGkJrTLMOnTYUS8hKzQE3\ntHZAAeVhGssOOOL5LtvEKue2xtB9/hDhS8+iRsYdyq5YQvoB0aljLg9j2HV+s6DggCZBAaEU3eee\nwizMYf0ALNQffYBobobSvuspbJuk89xTmOUlvF3X4A0NE508im01We6GLHe6/ODlY8w0W7x9pMbV\n5QAdRbS14fvzTY62I/7ecJGJgs+2kWEqxRKyUKBj4Zf/6jFuKSn+3lCZEV8yHxm6iakQGPQ9fCHo\naI22lo51QqUgwPM8dl5/A5XhEfwdV4GQtJ58GNuoo6o1VylgeBxZrVG44WZkueKAL8vLNP/qf2KW\nFxG1QdTIOAN3vQdZqRIefRkbRcjaECIo4G3f6cIcks1PKvB8ZG0AdET3xWcw7TZ0OohikcLrfwpZ\nKq15f2yn7cy/McJ1szyrryV+vX3XS1s+M+D222/n29/+NsPDw2fNiC+E4Ec/+tE5TnN1euqppwjD\nkJtvvjn3+y233MJjjz22ov+jjz7KLbfcsqJvFEU89dRT3HHHHWc952p26i0eJ8TiTN0CIMM7spj5\nmd6B7RYm40+xUYhdWuiNqyOgBxzIbYhSElxzXax1xZpefZnu3DRkNDhLITVOmsV5wpeeS3M26tlp\nlh9/KEU0tp9/Gv3KS6lvKjp2GDM3nZoE51ttvv38ETqh8509v9xkIpD41lKQgncMl2lBGrhcb3eo\njjhofxHYP1jhPaMlp/UBZSkIhXJaF1CPIopeD91ZFDiBYrTLN9mNGNyzL/X9Fa7aSzSVZP23eMPD\nBAdvc9duLeELz9B57CdgXSXs0uveRPmn35mutzex0yE6AXSEadTxhnvhNKJURlaqjlEKUSzDors/\ntt1Cz0+jyntWfxakhEwMYX/7Fn/+fP+/19LStmh1WlOY3XHHHfhxUbjbb7/9oqm2c3MuLmZoaCj3\n+/DwMLOzs6v2HxwcXNEXWLV/lv7kT/6ERx55BLg4X1ubnbfGOMEg1apBzv28CbvYZgMhFUjhjisU\nQJvULCYETlMzplfhOAgQUrlsHnFQdZIZ3nbaMZJSp0AD01hOzY7O5BU5M6G1WK0xS/PONNntYtpt\noqWFVMAIIdJg/0Y3omMMQ5UynlIcWVjmZL2RmuB2FHye7+hM6itndgtj4VQZlBTqJyF0AJGf1EPk\n0CitqRPYKEJbi7HQNRaN5VRH07GWa4o+gRSUagNIT9BcrGO0Jpx9HPX4i0zs2IlUkmhmCttuI4MA\nhEA8fRTxvfvxxidASMLjr7j6Z/H55bE/Rv35X+LvuhqUcgU542KbCIGMNbz4xmG6HYTyXCkanPBP\ntWghUWPjLsFwUrg1DqNItLsL+W5Ya+Pzkt7nK/ndOxf+PAudXFaUVKZeTwXqNYVZ1t/06U9/+gJM\n6/zpXAXq2frfdddd3HXXXeczpdcM2U7HxV/h9hdXpkSt3tdazPQpJ3SsQymqiR2IUik+ml5Gkbi/\nPnkUut0e7CNJtZScr1yBWAOxxvTqfAmB1Zro2OFeWqZYkJFsWmGX1gP3QaeDxWLDLstPPerMotYS\nGcNzc8u0ixJjLcZGvNjtEASCq4fKFAT8o8lhqr5CEY8vSK9FKkVt3/V4SQC5VPg7dvLZ7/81/8c/\n/GnC5UVOfOfbqUY224n4T8cX8D2FsiALRX7z799BMT5+aXmZ+x98CG0tiC7VuWO89artyF3DJJlU\nvJGxuJ6bE+CiVIXJG7DaQNTFdlquXSnUeJHqP/65dL2F56GGHMIRITDtFvrU8d6aKRdTZuN1FIUi\n/uROEBJkgnx0/jfiZ0EO5D8uz+tZS6D+Mb9RUP8turJoTWH28ssvn9NA11xzzXlPBkizjCwsLDAx\nMZH+Pj8/z9jY2Ir+Y2NjLCws5H6bn3eVc8fHx1f0z9Jm+MraNHyiySRrs4qDP+1vbSps3J6fL7IJ\nuDyDCW80xJk+UgNlDC5xx4vMWE4bSvMWJsdnzy/ycHPTbsWmRSdYdaeTaocArUjT1jrN1FGPNPWu\n06QARgs+FU/FL0MsyBKhCfiVCl4QIJN5lkqp708IQXe+l2VDAEfaIS0LoXbnu3Z8FD8opMfPLy2h\nSZIRG4b8YpzVxJ1PFoq988daExk4vbUmNT0SRXiTO5wGFa+HLJTS9GOAMz2aXlYUFGnYAMRFQDP9\n3QdGJpSiLzPIhX/W/M31Llxivp/O1r5FjtYUZu985zvPaQGffvrpCzKhgwcPEgQBjz76KP/gH/yD\n9PeHH3541Vi317/+9fzwhz/M/fbQQw8RBMEKv9sWXULKCIdXOQBwhuP7n1UpwGSbxcr+2fmIvvH7\n2le+C/3j5XMt9vfvn/nK+fR3Osv1vobIZgTnFm0Jr1dL6zIztlotvvSlL3Hbbbfxute9jkqlwvLy\nMg899BCHDh3i3/27f3fBJlSr1XjXu97Fvffey/79+5mcnOT3f//3OX78OO95z3t4/PHH+ehHP8rX\nvvY1duzYwXve8x6+8Y1v8Hu/93u85z3v4cSJE9x77728+93vplZbG/kCvYcmsbVf0Xz8N9lCE2j3\nqv0BpMIaHWsKtpf1XYj0WGtMDNWHxGyVjJ/7qzXCxv40KbFxIlywzrcmXCaLFcfFfykUYxOay3Mo\nPD/1G2Etge+78WLTZlEprAmRUmKMoW0sMjbvpQIsUyMtLeeSakM6nQ+AKJYwUQgIBJYhX6G1Ttdu\nttGMQxlczbNiUMDEAdoA7SQgPPX1GFYI1qxwlR6IXk0ys7wYpyOLk0HrKHNvnZadjGYhV77GQpzd\no3dvs9uoBefLtAaX0eQCPGvZsA8L0his3ETvwibntwTd6rSmMPtn/+yfpf/+jd/4De6++25+/ud/\nPtfnAx/4AF/+8pf58Y9/zM/+7M9esEl97GMf47Of/Szvfe97aTQa3HDDDXz1q19l586dHDt2jJdf\nfpkwLvOxa9cuvvKVr/DZz36W3/7t32ZgYICf/dmf5cMf/vBZz3M2p7O1l76q7EXjS2WXaSOKnInx\nTOsRhciRMUx9GTot50+JN1trDdH0FGbWlSVRw6PYdtP507oOWi8Hh5G1QfTMFLa+RHj0CHrmFMG+\n61FjkzR/+B3ajz9E5e/9Y4J9B1xy4cwGLPwAPIXodLFGIwtFSm/7u3SeeAg9O42ZmSLwfaJYEA3u\nvpqfOvh6nnn0URZnZ7imHLB/oMRfzzeZ7nS5qVbsFfYTgmKhgFKKtjYYY6jdeAv+tkn0zGlst4uK\nwUlaa1rNJn/z8CNMLzS5sVqkJKEo4H8dq/KXi23qkWZX2OSRhx7iwA034Ps+T79ylEakqQU+vhRc\nvW0cr1zChC4TiLf9KmSxiGnUEVJSeP1PIYICnScfxkYhhd3XgDV0X3oOAG9yJ3pxDjU85nIsliru\nfmnt/l9fdtcmJUJ5DlAiJWZpASEVMskAIoTjB4bAGhffhoVWA6Oj9D6v9q6cEx+HVthOG6Gkq8zQ\n9y5uqndjk/FbtDqtK87sLW95C9/85jfZs2fPirYjR47w7ne/m7/927/dkAluNPV/6Wzxa/PW9nxl\nCYlypdeuI7pPP94TPEKixid640mJHB0nSbVkGnXqf/pNh07E+b7ajz3YS2tVrVG58509RJ6Qzl+V\nnk+7QOuYolPHWfzDr7uYt3huwd4DKTKzuzjP4tNPpumckjkl/iSlFOVqNdVc1Ng2ije/Ie9PEr00\nVL/2+3/EweYcYVw5oCQFw0GQhgq48VXKN7RhCSdkAK4dG+a2q3ahEl/ZwBBybCLVjNTkTlcVIL5e\n06hjGss9X1O5gqgO9Ppv2+6AHDGFczO9rPmAHBlziZYTCgKk38upKqoDuSz6enE+XUsAMTCILJZ7\na7GJns3XAt9P59p/Nbpc48zWQi+eKc5szUrTWQrDkOeff37VthdeeCHVkrbotUe5lykKHUw+MZH1\nvVg2CsHze78HAaJcTf1JNgqJpqcczJ4YmJARFN35WZaPvYKJ25GS8OTxXv9Wk/DEKz2+3UIvzOWq\nSBf2HXA12QBvYgfBvgPpOYRSFCe291B/QqSgDIB2FDGzVMfYnnDJouxap0+x9OzT6fV7QcC+gwdT\n6P9IIWCsFPRKyniK4aB3fQooZcyHQwODDuyRtI9uQ8XCxlqLqS8TnjiafpVHp08STZ/qfaGrvGFF\neB6m20n7hydeQc+e7vWPIlczLvni94N0DGstemkBvbSQ0cB1bnyMSdf+bGStdeESen39t2iLzpfW\npZl9+MMf5r777uN973sf119/PcVikXa7zRNPPME3v/lN3vKWt/D5z3/+Ysz3gtKW2r5+0ovz2IU5\n93WIQI5P9AJwAT0/6zKxWwvWImuDrnqxcL6z6NjhOIBaYAWYTht94pgrLWIMM9/9Hyw+9iDWWISA\niZ/6OwQjcRFLqZCjYy4TPiLW8LZBqwfflwODEIYO1h+G4HkEV1/nzGndDs37vuu0OOvirZafeizW\nCAXGGk4sLdPqhiAlvu9z8zv/F4rbXckU024z9Zd/TvvEcRCgylV2/pOf4//8ix/xkX/0M7SWFjj5\n3T9lAIcyDCNNsxtSlM5014k0L9WbGOO8htL3uPGmg4wMDKCUu77C/htQg8MgBKZZp/P0kw7BKCX4\nBdBdZy60Fjk4RPEtP+3i84QAz8Of2BHzEttq0vrbv3K+NGuRQyMUb32jM+chEKUy/p5r08rTttNG\nT51INUhRqaJqg72PBOGKrpKYIpVyoRtrkNU6LhUUAzuU5+IPt+iC0LloZ1eSZramzyxLn/jEJ/j4\nxz/OV77ylZwWppTizjvv5BOf+MQ5TnVz0GYyMWw2PkvWWuy8C0AX8X+SasaAE0iL8712pVBj23rj\nWYNdWkxGgzBCHzuS9o+WF1l89MH0K15VKgRDw+54a10exvpyPJ51/2ss98YXAtvtIoRASIkcGERt\n390L/G42IOym0H/b6aQZ7sHSDkNaoYuxwxgqEzsIJnem5sX21AnaJ0+k8yuMjCILBQQCz/Pw68sM\nexK0+zjyBJRVXH4FSzvJa4iDwUyOjTE2OIiUbv7e+ARqaCSdr1leiisBWJcTsb3gUnnFWp0a3eYC\nz+Prl9WBHHy+c+RFzEIvYYAaHo3zRLrrlYNDrvZc3F8vL2KzRVGFdKCcZH0zlb/dgN6Zn6W4cnj6\ni3eW/lv8OZkbt2h1Wpcwq1arfO5zn+M//sf/yOHDh6nX65TLZa666iqq1erZB9iiK4+s7Zkbs/DD\n5IdEUCV9pYTUqtVDVvbobC/zWdrjApg5PmOeFFJmzKeraO3ZzRwBueYYdblifB239o0PLnQgO/X+\nzSq7Pkkfm2k7E61icchvhmLF5tg/4tbmeeloS3i9OlqXMEuoWCxy/fVrF/G73OhifXElG+PlxkMG\n8Sky0P3YlGjTdla2Z8dL1oNkT5aJguX28aAQCxbXaqzNaQI2hry7v/TOQ3YT7rUbo8nlLvG8nCAT\nfpATZMrzc3433e3mfGkiCFKQCsT1zzIk/CAnqDRgtE7lleoTnDpGGaZQ+ijKQetzIQIJn5FmNs5s\nkgq1zNjpfJVKrzkJdUjXVOv8sxoX9UzGF3EuypxmnePtmZ990QfxP1v/DeQ3y7t0IfktQbc6qY9f\nSYm+zkArvlS3+Ny/ZbWWprwSUmGjrhMKMVpPeIEzhRmDUMrlXPR9kAqzOIeenell+Ai7TnjE8UtS\nSiq7r6Z18hi61aRy7X4qB25yWTGMi+lC69TsZ5aXiKZOutyDynMovMHhdFzb7WAW5xGVGiiJbTQg\nCjHtJlhLcM11lG5+A52jL2PDLrWbXsfYG9/CwitHMN0uNQGl5jLetu3OX9duoYyhs7iANQbTbKDn\nZ3mopbn9wD5sq4kIQzr1JbQ2/PnpRe6bWeT6WglfSobGxhgcHmZ+aRljLbLTgnaTyrAzLdpmA9tu\nowaHwFq6R17AzEylKcX8625ETe7EzJwGIVDjk8jaoKvELQQEASjfrY8QyOERRFBAz5wGKZDDY4hy\nFem5UjpyaNj5wHo32K1xt+t8YsWSA/LEZJtNZ3aMTZvC9105mrWeHc9zcjEtNurnNNvN9Gy/Fvgz\nUf3QE+vue6nI++l/grz6QO7/a1GlsrbvddOVgLnYdKnt45cTb4zBnD6Z959Uar20UsZAY7nnq9IR\n4cnjLn4NemVE4k3ORCF2fqaXJd9aomYdv+KcvKbTITr+CqlGEoboxYU0tZMcHKb09juRBbcx61YT\nk2adj+fveYgEgVcooka3IeON3DQb6OlTyKIDM3SOHmb5/u/jJemWylW8HVfF2f6hPT/L8vFXELHG\n86XTTT72D+9M+ftfeoX/+9FDzLUcnP2nd0/y/tddT8FzQnhueprTJ08iYvPj0OQOtu3dl0KKTaeN\nbTfT9fL3H6Rwyxtd4mHANJvYsI2MBY0YHEYOjSFVPILvIzPoy3BhDlpNVy4HULv24G/fnX4U2E4r\nTqPVu39CQBo60Wnn2h3op5Y+D2d7dtx4Yt39r3S+n861/2p0OQBA1pNEOKHzhuZv0ZVJ1trUJJWQ\n8P18pyhM2wXkzYM27/ey1ub9VEohB4ZzvD82mePVWCa/puc5hGSGB5k7P14vbgrfR1byD7/NXY91\nJsKYl0GB4o7d+evrttN2ValR3HlVX3sn/Wfge2wf7BWwLQhLlInT8gpFypkKD0rgstYns4m6aQ5L\nwGmTjeWUleUKstobXwRBPoemUjkNSBZLubgwotB9TMSkFxdc4Hty/rALYQZK7yRbj08y8q9BVuuc\nuTYryLZoizaarmjN7LV06Wv6ul4lj9auHAs4T5Tn9QSXtdBuYWNEoBDCmaUymdDTci7WoRGj6Sln\nToubZaWGN7YNANvtEh572QkeIUBH6OUl1NAwWBdPFh0/gjexEwSYRoPwyIv4u6/uIeVUZn46cpng\nd13tLqXVIHz6SawOXV8/QBTL2OUFdy1SueDjQgF0RDgzRfuvvueyucfX5u+/mWDvPqyxtE8epfGj\n7/HF547y72+73q2NXwIsXWN49vQMzz39NG+sePhSURioMXr9QWS5irWWxtwsnRNHqVUrSCEhKDgh\n1G4mN8OhEz3PIUN3Xk3l7/4jB90H9JKbdwLlt5F2me1LTuO0SWotzwNr0cuL6NnpNCm0HBpxpt+p\nE4BF7diNGnSZWgDEwCDeSO+jwYZhnD0krlVXriDKtVTOWWMcFD9JXnyFZcG/0O/eevj10pWkma0L\nAGKt5Utf+hLtdpt/82/+Tfr7r/7qr3LjjTdyzz33rHsym42yJpDNzl9Mk4dJsmi4VmwUxqC7GNBh\nTd7BH0PfRTxWogG4/iKfZV8qvG2TvfMFASpTYsTKADU8mraLYhl/Zy/7jKhU8a/Z18vAb62rgJ2s\nV7mKv6MHzRexQBXJXLudnEZllXJQ+1hwSalcMHNsDlQjYwR79zn/nALfDygN1HpaS4x2EAgKSnFt\noBipFRz83xpUqYIsVxFSIoBysUBhoBZnErHQbacrDTjhmGhcWuONjKEGhtLrSYRauj49g6SIAAAg\nAElEQVTlcj6zfaydChH/R+vMvTKER1+CjMZnWy1M0Mhlsc+Oj5/nhfJipS1+OmJfZXqOJEh9E707\n58tvZnPkFjlal5nxS1/6Ev/5P//ntDxLQq9//ev5yle+wpe//OUNmdxG06V23F5IR++G0/losTaD\nvAP379x4eVyiSPpkumfJCc2+/tn2/gMseQACkD37ilW2GWQh9MHycUKqP/tGdr7WIDPHCyHygAlr\nU79UplNuvrnx4rpkuXOteDby65Ubrv/e2Tz6Mb+azmcm+u7XGXl79ntwufNbtPlpXcLsj/7oj/jM\nZz7D+973vtzvH/jAB/j0pz/Nf//v/31DJrfR1P+Sv9b4zUK2T3jZPuFmbV685EVbXvC48Thz//51\nECIPCjnL+K6adcY3lIYNxP0z+RYzJ+2dTqr8+fo2e7cefQIlO+e+jdTG9dx6Xe0qHxf59cgJ6xUb\nc99rH0Pve+Oblc/WGfqvEnZ3yZ/9K/Vdu5JpXWbGU6dOcdNNN63adtNNN3Hq1KkLOqmLSZf6JVgv\nn9jNz5VP6Jz5YhHb7ji/mNGYZtMloU1ioITM+cyE5zsAgbWgNSbsIJSDZEvPw9t1NdHJo2AsMggQ\nhRKEiZ/F9ErKxGOJStWlv7IWWSwhBobQ06fAONAGI0XsvMvqnlRCNjNTqf8mmp3GGx3rbaxKYiPj\n0jl5HviB81FZizDOP+hKyRgICoiBIeziHIlPyrSbyLJLECCHRlC7roaHngYh04S/SZaT0s7d6KDA\n0rNPgZSoHbvwr7uR6KVnsVGEDiOiThvPD5yGVij2fGZSIie2oypV9ImjYCE8foTu0cMEu68GIJpz\nCFBvfMJpbfF9WyHekvsZFJxPM3JZ+dXkDuzSAibO26gXZl316WotF9y9mrgU4Kpd20yPIEB0ui5T\ni8WZcAUrtNfN8i6djb/o79oG+swuJZ2LL+yCnG89nfbs2cN9993Hv/gX/2JF25/92Z+xa9euCz6x\ni0HJQ7KZ7OFn4vvnu6G88rAliTl5NEXYmVYDURtAJPFD4DbiJL2RVOhTx5xPCrDClYoRSuGVK6ih\nIUykUYMuVZXpdNCHn0/7C+WhxrYh40z8dmgY0+k4YSYEanCIaPpUWpnYDo4ALgZOCIGu1AgPPw/W\nYpcX6S7MQdjFLLlK5E5I1tJ4KVMsuvI0QiJ0hJ4+hZ49jVlcQBaKiD3Xoka34Q0787pdXnQbfdgl\n2HEV3rYd+NfuR5Zcpnk7OIzRGlUsMrJjF8Nv+zvIbTspX7sfgOVOm8Xv/SlmMa6MPjRCMDaaQu3V\n7mtQ23emme2jsUlMfRlZKhG9cAh9+oSLPWvFQA0p8a66BqlWf42jZsP11RGyUIDBQVSp6oKqJ3bQ\nsRYzexqMwUyfRA2P4m/f6T4WWKnBUqm6e5FJTiyEQAgFpRKm2XQfJgCdDrYgXGzbq3jWLzV/Ud81\nVjdznqn/Fq2kdQmzD3zgA/zGb/wGDzzwAAcPHqRSqbC0tMRDDz3E/fffzyc/+cmNnucWXQSy1rr8\ng5nce7bVdGi/5Gu00UAlqDlrsVGESku0CGcSy5DwgzQPopAKNTiQ30CyUHQh8kAGIRGFYo+XMgZm\nJONJKJZ7L7xSLilvN4afG43ptPLjZ/IEJgI4nY0FazJf68pLtbHMKmXaFbIy0EvQm8R5xdfrD44Q\nXH1tZi38/PjgTJpJe6GQg97LUtldazyebTVdUHrSQUer2EgzZEzOHCr8wAmyhC+VHbgjybfq+akg\nW42EUqkgg7wmE//jzPPZoi3aQFo3NP9b3/oWX/3qV9NSMFJKDhw4wM///M9f0MKcF5MutmlgM/No\n7TSYpIxLUCA8/AK2vuSg7IUi0cmj2GYDOTCEv+tqV46k1UQMDBFceyCFY9tWE7O8gLd9N6JYwnY7\nLuO7H6RgCttuEr5y2MVx4QSTKBSdgCoUHUw/MVsq5dB93TjDRxRBp9XTHDwvzuLuNlU9P4uem3YJ\neZUimjlNdPRlhB9nzPACUDLN7A6ghkbw9x5AeD6dZ56g9Tc/jKtVgxwZJ9h7Hd62HSAl0expzMxp\nPv3t7/Dr7/onmGYD22oh4uBrG3ZRw6MUbrjFabiAXZwnPPoyRBH1Jx6i8/QTBGUniEWlhhwZRw06\nxKIcGnVZOtxomHod2+24a4wFh6wNosacmVEOj6FGx532BdhOx32UWOdbM/UlhB+gRsbcB0e3gyhX\nXbkZo2k9/DcgJIXrb3ZVoDutFfFkolxNqyRYa50AjIPXRaGQMynaTttB+f0EVbm5nvXXAr9eupTQ\n/I0wM543NB/grrvu4q677qLT6bC0tMTw8DCed06pHTclpRpI31fmpeRfjb3+fHkzP+PMGICNQsLn\nD6W86XYwxw6nwsMsLdI98qLTdACzvJzbuCiV8eMYMiEE1g+cUIvNJCYKCV98Nh0f6JUYASf84rpo\nzkejU3i5EMIBMOiZwKzWzheWbPSDQ86UGLfL6oDb6ONrtlEXItJQAlGtEew/mGbGUMOjcV9Lgiz0\nJnpZ9GWlCstLsYlNOCFMj9S2HQTX3dBLv7U4T3TsSCp4C2MTUDvc0zD9ADUw6OZvbT7MgDi9VAzr\nBxC1IdToeNpfCJwfMlm/OGmzEAKEQI2M57Lsi+HRNFQApSje8iYXepGgNoXE0oPzi2oNkdGAbbeD\njXpZ9pP7mG6ycXmYzfAunY2/FO/a+fJbtDqdUwaQer3OU089xcMPP0w3Ng/pM2QE2Oy0mp16M/CX\n5G9WsMBKPvM3sSWlvyd74Jrj97XbvuOT39Pz9PN5En22rBXr2N/fmt4kV2vv9zlFYS/OC9y/s1/G\nxuay3gtsHnrvqd5FQ6rh9fgoNx+kzMP/YyGUHT833/7+su98mXuXjJddIyFkPiWZEHl+xfHyzO2r\nZeG/TPjL9e8WraR1qVZaaz73uc/xjW98gzB0WRS++93vsri4yAc/+EF+7/d+j4mJiY2e6xZtVrLk\nN9MLMmD/T/YcziFWCCzO6YtW5KH3/ecWQJ/vS2THt+l/MmymPdHAsj0y50j7Z3iR733W9VhxTF/3\ns4IhVhx/5vYturLpYiMXV6N1aWZf/OIX+W//7b/xS7/0S/zBH/wBxdg3UKvVGB8f53d/93c3dJIb\nRYkKn6juVzRfrZHoABaQSZVoax3ardOO8+6JOP1TzWkXQgAWveiqUCdbdJID0VqLNbbHA3g+atL5\nn5yNTCKqA+58bmK4WKYElKKdXyouTWIBq+N/x1ny9dx0mhvQWoOJ/WEWEOVKfD0y1Xqcf8+dzywv\noRfm3LFaI0fHUEOjrr/yMI0GpOeNMNq4gpbWpNdD4i+0lmh6imjqpCu9EjlATbJ+1lq88UnE4FCs\nkSmXbSUZ31rM/Kyr7K21G195PaCIENh2M5NjUri5JBUDkvi2pD1ZX8/r3Zs4H2SyfhgNOkrnl5wr\neRZsuwXJ2lvrfKjxvbKW3rk3y7N8BfBbtJLWpZn9yZ/8CR//+MdXAD2q1Sr/9t/+W37xF39xQya3\n0ZTYoM/4hXqF8KpcxRZLrswI4A0OY8pVmj/6Lnpmyjn8fZ/y7e9w8U1+gA27RIvzeEOjLnar3UQM\nDKdAC2s0tlF3m6G1oBSiNoTwfVS1hpnYiZ6fdZu752EadaLjR9LSJrbbRS8vYJYWwVp0UEANDGJb\nLcBiwxDTrGPmpsFaotogamKnA61YiyiVU39R4bpBopFpolPHUv+PabccdN3ziI4fcbD/IMCcPom/\nfSfe9p2IYtmBW6Ske/Qw3eefJnzhGbCm5yv0A6QQRNOn0NOnMcsLhIefR23fhRocJjp6GLCIStX5\nv9otigcOEs1OY9stZByqoBvLbr3qS0RHXiC4/ha8nVchpcQWY/CHisEubQe8kdUaolDEzM8iCkUn\nsOJUYnJ0mwuDKMehA522u/cxYlQvLWKbdYeSBDe/uA6aAFC+A9d4nruHhSLS81yJn1I5DhFwWqVt\nNaFYzIUJbJZn+3Lh++lc+1/ptC5hNjs7y6233rpq2/j4OPV6/YJOaosuDYkMTBxAeB765LHeD1rj\nTe7s5Tz0A7yxiVyOxhQxmPwUb5S99h40XhZLiMmdPX9AUHAaU+brMxFkAIQhptnojW80Zn4mbbet\npqtjlvh3jMnNR5YryHKNBOouPB8bBKmJ0DYbmIXZlFe1Qbzd1/TGi0LCIy+mx9sY+ZnORwhMs/cu\n6OlTmOXF1Ofl8lX2TKBqYAhbqqTjEUXYzPHZsYQQDkYfZMAmMh+6kM2I767PSxGIAGTDHMABOTL3\nx+XXzEDzlcpn5c/cFyEEVkiwetX2Ldqii03rEmY7d+7kwQcfZPfu3SvaHn30USYnJ1c5avNTVoXP\nIoWuRB7c5ka56gAQcSDzwHt+gc7zh+gcepTSG2935sCw6xB3lRqyVHbZ8BvLWGsx06egVEFWXSJe\nOT6JadSh2QA/cIUePffFb+tLTosoVxGlEra+hCiVnRlMa+ToOMUduwiPHkFPHXfQ/lg0COXh7b6G\nYP+NdF94hujEK4jaYGqqFJ6HGhlPedvtEB4/4hIeBwVEsYQaHcfzPaLZacz8XBqaYIMAG4a0n3oM\n84M/p/S2Own27MW2W5Re9ya6Lz2H7XTwtu1A1gacEIki1PAoanCE7svPoadOOo1Rawehrw3Etcbi\nDd/zndYoRVpRQNYGkZUaevoUaniU2l3vRZQqhC89g2nUXQFS4aDzprFM+ORhhBAUbnodamQ8NSMK\n3IcG1qJnTiMHhgAbB48Lx1vrki+Xym7+no8cGHTT67adFuh5eW2g23FVtoOCE6hxxg8hcIJP9fXf\nJM/25cQD6+q/RStpXcLsHe94B5/85Cc5ceIEb3vb2wB47rnnuO+++7j33nv5l//yX27oJDeSkgcl\neViuWL7V7L04nh9XHQahFIXrbqT4urf0+vtBvLE6FJstlqBZz2hIDahU03ZRrvT8bzgNgMW5Xnqk\nZh2a9RhHIsAvIIaq6fm87TuxywtufoBVypV/icf39+zDhmGv3fNc+Ze43XTadJ87hE0y/VuDNzKW\nwt1luUL00nPp8WZxke7zT5OY0NoP/w10Wm48zyO44RbUyBji+P+DEBLrBa6IZZxVXw2PEj77RK8I\nabOOPz7hjgcICi7GK+ZldQDdbLj5SEnhDW+lcvs70vI23q6r0dNT6TOr222nMVvnZwtPHkcOjfY0\nyGIJmUD9jcYszOae+YQX4Px2tQFEUOxtmnENtFWfFWMRnTa9bJUWvCCF/m+KZ/k1zm/R6rQuYfYr\nv/IrzMzM8MUvfpEvfOELWGv55V/+ZZRSvOtd7+KXfumXNnqeG0KpeUvkfWdXLJ9ZF0uGj4s+Zvsn\ngmKt4/Pt9AQVpJtw2h/yvOyDIRvjxotfZNlXYgTb3+7l2+OchMIm1+Ol5wWcP1CqtKK0DTtuk495\nqZQzkSbX43nkoP7WYjLnt+2WA1GkcWQ+CJlfT5FBXGrt2mNzo6oNOk0nmX8MBOnNt5sz6cliL5g6\nuf5sVv7csavwQqpzeFZY0d7/bGyKZ/k1zG8W2gwIxiytS5j5vs+nPvUpPvShD/Hkk09Sr9cZHBzk\n4MGDK8rCbNEWrYfO+ZU87y/Ssxy/YvxzPN+Kw1cb70xXfebzbZ4tbIs2mjaTwLqcaN0pPIwxeJ7H\nG97wBgYzpd8vZ+pX2a9oXnkOnk28cfpBWjnameaccyTljU4zcViAoNhLTWVtCo5IDiUum5KaGt0n\nPsTjCRd6nEwMoTU2qQmWZBBpt9zxYegg777vji4UXXvLVb+23Y7z/wUFp0oExTgrv3FaYauBWV50\n4AjlORRfoeB8R9a6jCHVAQfA0AbdasZhBHGlgE47rRBgcWbP9HIsyOExN7f4B9PqVZCG2DdpjMvU\nIQSyXEEvL0DkwBTR6VNOG0u+xktld35jQYAcHEbPTzvTprXouRn8q/e5+2Etull3KaakigOqV5G1\nmX8LHTnT8qt9dqIQmwBFrDPN2lg7f1XjnY23dpVvh030Ll0Avp+y7VvCbnU6qzD767/+a77yla/w\n4IMPEsYJSavVKrfffju/8Au/sGZpmMuBsjbo5AF5Nbzoe2kvR14Ui2lGeOEHyEoVG3YxzYbLYu8H\nufYkVZO1FiklDA1jux1My5VKEb6fby+VHHig0XBjJC+n8lwJEamc8Ox2nLDstFxORuUjwg7e5E5M\no45eWkDFeRuttYggQEpJsHc/emaK6NQJsJboxFFkpYooldHzcw6+3mqgT08RvvgMttOm+Ia3Urjl\njRCF+Ndej15ehDCM80wGtB79CdHRlyne8kZEsUR06hh2bsbFpU2dcEIqvj5brmKWFrCNZczcNMG+\nG9Dzs6Aj/N3XuByNsQAUQcHltKy4NFFybBK14yqiqeNgjLuWuWlEdcCtY9hFjY5j2i7nYWHPtRT2\n30T7iQcxzQbetu3o2RkH2Ai7mOlTdIWk8Pq3oIZGUvxksh2md1+4dFYJVP9VvwvGOGCNlO4jptV0\nQnp4LGcuPe93LQzj1GaRM9MWS7nMJJvlXbpY/Bbl6YzC7Ktf/Sqf+9znuPbaa7n77rvZvn07URRx\n+PBhvv/97/PP//k/52Mf+xjvfe97L9Z8N4T6H5Bz5V8r5HxjPfi28APkQA963t++4viggPSDtdul\nwnYz8HEh8nBx5QGdXrvWcd5Ft+ayXM77mrIZ4YVwyYml7AEvGnVso97LG6g13ecPOZ8TEB5/BX/f\nDcgYvu+PTbiYr3iDLN54K2bnVakGKQtFokadFEofdlKNVQiBMAYd1xoTQuBt2+423Mz6WNHzrQkp\nkbXB9Pr93XsRhUIv52G7BTFoRQjh8jcGxVThCfbsI5qfTfubhTlsYzk+WGPmZ9PyNek6ZRl/ZZb8\n83kXTKOOSO6JtVgd5UrAnO/4NusrjDXA1xK9VveVi0VrCrPHHnuM3/md3+HXfu3XeP/737+i/T/8\nh//A5z//eT71qU9x0003rRmHdjnQpf7C2ggecGbDbhfreU6b6tMmU5PfefIrzrsWLwRyZAxTX3bQ\n/2LZQftjKL7wfWTJtdvElBdpCAJQCt1ouAKWQRGUwiwtYmdO442OO81peSk2F7pCkfgBUilndoyz\nyBdvvJnuSy9gWk0KN96KqtZcBgutMY06plFHjW1DBAVMq+GuFeLsIAY1ucMhC7sdrLFEJ4/ijblU\nbp0nHkTPTuPt2I2sDeBdcx2yVEYffwVrDMH+mxDFEt1nHndZ9muDZGEwoi8fpLfz/2/vy6PsKK7z\nv6ruftvso9EGSAIDEjIjgg5ybI0cbBQJgW2ZgyFGtiMbzBLBARMnIRJhsw2Kf2YJKCLBFhgMUbAN\nQmBMEETOibHlmIPZZCABDAIxEmAts8+8rbvq98ft/b03+8zrN6++c+b03FdL366uqtt169a9c8F0\ngw6tm+SlXloWkKAQPNA0aA1NEL09ACR5VTEtmO+/BycadP6D/dCnzyA1azYLyUioMsOg1Tdjbrw6\nHk/YatwQncvBWde5fY1x8ESMQtrksgDj0BoayetJXw+tyAyjZF+VlkXvhXES4MPQdLBEktTL+Zzr\nzzIKY2049EjG0nDyKxSiZAiYv//7v4dlWbjtttsGreDv/u7vkM1msXnz5glhcCIxlJ66GAbreFGi\nZSZtR3GmaYgnEoG4ZGXlz3G5BFqdhNOFadoCgFZlUkryVCFBO2vSOUoAzwmvM8Clz+WPvYoT+Tys\n/e/SRCAlJOeIHf9RMI28WQjThOg87Km1OCcha7eeNE2IjoP2QkBC5nIQXYfx/x5/Ghs+vwoyPYDs\nqy+68cP4tOmo+/yXbWfFDNA0OgrAaB9JpAdgfrCP0hgoTpsvagBL1SB29PFeuJz0AAU9ddrIvrqt\nJv0pxK/MZtz6eDwBbgf8BOgogjZjlq+mwSHz+cCqiLkhd0oVkIH9ssL6crTvaW/AMt0IxFkrhUj0\n3QjQIxFm4xECJkpWi4OFgCnpm/H555/HOeecM2Tla9aswYsvvjg6zsoM5qiHnElkGHTFXH1BHBng\nCrLhlp/Q57YNH1xPIuF0KVz1GgBS60npCa4wDfvDxJlsbaHhlrfsuFuOujCZcgUZAC+4ptNWjLmC\nkgFkaGGbqDAATFhgtqk9AyD6e+nedj1aUwupExkDYxSexTlDxhijA+eck2zzt4ddn5a01an2n8xl\nXcMbvyBzaPd5me/d++qDbnh5AVJ9Mj78vi88VS9jzA3eWjK/7/+i6XakDef5nfN0U2bsjfE6nOdW\nKERJYXbw4EEcffTRQ1YwZ84cdHZ2jidPCgoRxNTan4kWVNsqjB0lhVk+n0fcjlw7GDRNG5W6LgqQ\ncuSeqyvmyrnnJR0ImsUP41rW52a2GbzNP5i9P2J/lUrb+71PAeOuCLxfvCmS6TF7GWCr7fJ5t7wE\nyHxdSo+WEozRHp8EKCq1L11yDY7HfAmAJWtoZcY5AAaru4vUp05+Mw9AghaPko49+O9nq10dWmTS\n9uqQ3gFzrA2ddyOE58XeaTd/fZrv3oCt0vPxbx9xGHbfd45gOPxb5qjGjktrofrM4dVXLdfhPLdC\nIUoagPiXulMVjg7a+R/A1KETSTqrlcuSYUFov4z5JsvR0kKQOlDm8mQurelAaDNfSjlsWlgWTdL9\nvWCJBHnmEAJabR0wYxaswwche7rAGSOv7ZYFMAZj9lFgqVqYH7RDdHXQ/gvXyHDBssBr6xA7YRH5\nQEwPIL6gFby+EVZXB8RAv21AAdq70XUYR84FSySQf38fRG8XxME/kqrP9hxiHSIDECd0CmNAbEEr\nrJ4uMMZQ+5lzoU2fBau7k1SKhgHZ30+GOJL8JQKg4wiaBq2ungSQEGCaQYYfjIwkIEmdqk2bAfOP\n70MM9MHc/x4gJfR5x5JjZtuPphOGBrmcq1qGrnuurWyaJWvoaEAsTu/TNvhwon2H+xKPxegcWXoA\nUpKaUKYHCvPb1qeOgQaLJ0rUF6e2zKSpPpPCz5TKPxXp0Y69qT4njwUlhZmUEqtXrx6y8abCl0L4\nGacMretBt0ihdGeQjIke8HnFt0wA8cB9/P1jSBoUywuwz77F40Cyxr2fVt8Is7cHkPaeUKoG+hFz\nXG//2rQZJMAcr/jxeMDvhnHU0XTuytmri8UgPtjv7nXxRALG3I+4e2k8nkD+D++7bq1kfy9Eb7e7\nkoJpQmTSYFKC6ToSJy1BfPHHXXdaWm0dRDbjnvKSvd0w+3o90/xYDLyu3nu+pmbwaTO89yUs99wd\ns60yzXffhrPmFIcPgDdN9xakYa/5yRR9CPho14u+lMS7r29I06T9PX8dzrvmnA6HW37Tewvc8A5b\ny1zOOy5hx1YrZZrPNA2SczCnLe04dJyPnyl/lOliYymcr9jYUyiNksLs7LPPnkw+yorwF89I6WqB\ntCyyRPMdmmaxOKnRhHCt70YPBlZXT46HLcsLSAl7FZfP0f1y5KmDVgbcTWdSgtfVk+m/sCg8SixO\nZ6+EoFWMXxWZSME4+ljk29+lg9zOOTW7PvPwAU+QSWmHlImRibsUEPkcrO5uaLW1JCBjCVgdh8Ca\np9uTteaunKQk9SDTDc/0vbEZPJWC7CcnzVIIiN4eN+IAzHygdbTpM8GMOHJvvgoIAT5tBniqlmKg\nSUGGKAAdFucaeNM0UmkO9EEKC/m9b4PFE4gdfVzg0HtAwEjPFJwMT5jrRJjpBql4bb6YzzSe2sfn\nRR8A4yxYXzZLAsw+18cMA9L0HYJmpU3tKQhrLlB+qiFK80qULBiHi5LC7Lvf/e5k8lEW+L90wl89\nI6HHUrYSaCGErbIjd1ew0oBt6u8Eb/QLs1Hfj3MSUPEEeZTw3V92d9Bel0GqQN7Q7JpzSyGArH0U\nIZGElkhAWsK1EkQyCViC9r6cEDKJFHkmAaA1T4fo67EneAaRyyLzwm/J/B+AlAJIZyAl3DA01gft\nJJSyaQhIJJYso7NpvT3Ip9MwjprnOmiWnEN2HAJAqzEkU6Qa1XXaG4sn3QCmMjMAkcuQCyunfRi1\ni5aqhTZtJrQ58yA7D9uuqhgEA8x3/kCbUACkriN+8idob4oxWPkcsi8/5zpsFj1dSPzJx1ypIxkH\nTya99jZNctnlMiCAeMIO86KRqy7fpCvyFDLIvjsk1+iogZueA3I5u+/Y9cXidpQBHRBG4EOooP/l\ncq5rNSov6ezhSPrWFKKjIvCihmH7ZpyKGMtqbKrTYUh7heLm4EH1pfR5Th/z/f2f9wAJ0Xzeu7d9\nLslRF0pbpcUAuxwDNP+eL4P00zwYBUAy0Ne+c7ueLsjMgGuSDkvYUQTs6TqbIcFAko68hhgePzyR\n8NqKsUB4GoDOeTFd91wxSfJl6G9b+NvD8bLPGAkUISF1j1/Z1+upPkHqVuZT/1mH/uiuMCFB4Wv8\nq2hdD74LM/SutVA6UDo/Y/TBEUj3jj4AoGMRI+k7IX5YmN+IjZ1xH3tKgA0LY9ULKShMCAp3B0Y4\nmMODf6STwZD5x7u+qQw5CDXy8lMdam9sdKhqYeZ0GnUtvDp/3u+eKbx7Ha/7OabpDg0ETOvJu7xv\nSrNXbv4hH8hf5BpIl8H7wV4VOekslgisdBxTckeASd2A658RIMMHHz/OSsKdkzSNPI/40/35Q/cH\ngs9XMLlx7qscXnQAJ396gKwKHa7tQ9heej+kbaghpaS9Lv874KF7D3Wsw38MRIJWjoOl2662StY3\nRP0YafkpeFUoRFULM7+FkKtyUnQBTZaDKS+opc9CbUz12wJTDPRBHDpA/hid+yVTrpUijyWgHTmP\nznMxBtbQaKfbkxznZPXom/TcqZsx8k7f3ELGF4B7dSZ4Fk9SuqbT/eNxxE/6GPlO1HQYxy1E4uOf\nAqupoXQIaE3TyFrUiCF27HywVE1AbWh2HHTPY/FYHFrzdLov16DV+0MokYNk3jSN2lfToE2bAa1p\nmvs8zDKBzACkSW6lzA/3weo8TG6rLBNMSopcbe8RWl0dyL3xKkQ2A5HNANkseLGtVrQAACAASURB\nVEMzCWXdAISA9cf3yXAnn4f53h6Ye992BSCPxcFdd1WMTOftd+O8u8DYicXc/IwzQA8dA4nFwe0z\nq0zjtkPpEfSVeMJ1iMw07jv3Vv6xUQ5aoThK+masFjiTp6Inn5aWBXH4gJsGroGH9nOGLJ9Je3tH\nlgWZGQjsrXGfKX44P7hGTm7tdDHQD+vAB4FVj7OqA4D8++3IvPhb15rv5meew/V/f1WQX19+lkiC\n1zd6/Ou6ewDa4Q8h2rEcJH76IPp6vb28rg6YHYdKRo2WuRxZmzowYkFT+xDtLwsA2hFzoU+b7tIi\nk/H22gAgFg+a4keoL00FOoyR5i+G4fhmrCTLxVH5ZlRQADDiwTPi+v0qMMZo9THM7yu/w2IAQdWg\nU18+WF/AMz1jwb0saZv7O6Rlknm684WcSMI45ng4xwEoRplXP6uphdYYDLki7bhr9H8eIj3g0iKT\nhtXb7UvPBdIddaXLbk0ttGZP2FC8N+/4Am9oohhiDt3YDO5fBYbepXN0wYWwyLjFrYAH6kdoYqX4\nYmZReih4+a2hM48D6H45V72qMPVQ1daMpfTQih5cmIxb/ZyD1dYDqVo6W8Y4md/n8xTmpISpvxCC\nzOJNE5CAlIK8YDgTK0i1Bd0gVZqZB+xozSwWB+xAo45go6MHtjPf2nogkYL14T7PHDyfB2tqhnHU\nPBizj0Js4UnI/d8r4C++4bqq0o/7KLT6egAMomUGrPffI15yWarbjbPGYPX30TGBvElavJ4uaE0t\nNue0QgT3znNJzsHrG6HrFL3amjkL5t49AOyVFefQZx7perIXTnDMRBJggOjrpRWnsw9nh45hmk57\nkXkT4AwQAqK7E4gnaEVpGAAM19OKE3KFjkLYasc86OyZHc0AeUBqOh14L/HupWW5Z++QB3lGiZXO\nP1ZaWiaQzXquvWIxV9Vc7rE1mrGmLBuLo6qFWZRUDFGjw5jQ+zEWOCDtTJwl80vhmWszQAqasBi8\nyR26zzzc8Urvv5+fFhaEHQSUVnNZ72AwQGb7Tn26DiYEeKrGNRzR6pug1dW7e3zMNIO8A74oBpJW\nB47ZvwSd3bK9mtDjeekMAOLJQDw6ZLPuvQGANTTRHqKd7nj5cOtz3Es5+ZMp73kAOjfmy+/uTznl\nnQPyvvqk9I4aSCGoSZ0HHsp03om47fCjG+PXl4rRdrw2937howERG3vjoV6sRig1o0JFYuI3elnw\n3/AXNAumh76fXafIoZqK0oPcuUR+Nmg6Y4V+VcNUID2cnxWqlwevL/w2RvZ25CS8TYWpj6oWZuVW\nKYTVnFG6On+Tcj+3PQZvF/jyBSZT3yrFX49Hj1DVw4Km71KE0kOm8dKygl/SjLn+F11+ArQMMhnm\nJ3g3SBnaCwyvWoUoqD/wTP4IBEDAFL/oPYUYvI1Y8FhEAS2HauOR5h8HOpgYiTE2lqtCIapamAHe\nwPebv042DZTf3HcyaWmZkJmMO2kyxsjLv3O+SVKkbDfMiUn5pZPfcXvlU4uxhmZ3j4359tqklEAu\nC9HVQdaOPn5cod3fD9Hd6aVLCWa7d5JSQvT3wTzwgZceS0CfMZuEnq16lLY7LSkERH8fhL2nJKWE\nzGdtf472UYT+flg9tuEHY2D1jbRX5zyPplPYGgdcC3xgsNo6sObpbn6ZSUP09RQIMWpri6J0++5v\ndR6G1XnIbU83v3PN5VzDFyklmeXnct79Y3HveANAFpg+w5oh+34iEczv53cixloy5QViDanvRtp3\no0ArFEfV75n5O7+iR+fJe7i0K6Scr8xsxtvr0TTIeALMjuUFISjuFnyTXSYDlky6+ZFMkWd2e6IS\n2jQKTeIzxZfZtLtKEj1d5HrKSc+kKRyLvT8mshnXkzvTdEjdgOzpBqSwz3e9D97YRHtZNbXQmpoR\nW3AiuBGjs1sHP4TVcRgwaY9GmiY56nUMO7rTEPk8RdIGwIzpMI5dAG4bPwjDIC/5jvPkVA2YYbjP\nJ3M5iDyFd9EbmmBxDWKgD5wxCqfCNXJSbCP/4X6IwwddT/bC9FyCie4uwIhBr2/0XrARIyfSjFFE\ngLzpm/stMkRx9tficQjHYbCdSRgiQA/aN+IJCMOO2D2c/GOlE0naF+WTdL8JHmsKhaj6lZnCJIOV\n7nKMsaAhCFCgjvOvriBE4DAvgKDnfsboLJe/vM9UHvbKyE22LBK2fnDf5KGRY2X/vfym7VJYgPSZ\nfjNWUN4xrgBAvIUjDfjaJzxtScvyQqwAYJoWWCEVtK2mgRmDfK9KGVA3ivRA0DQ/rPC0V57u7Vhw\nry1MDwW/IJsMMF76fjLctxQqDlW9MnM6brgDR5F2vszKQQMYl/rAGAXdFGSNyGJGyXThX8G5fEiw\nbAYCoDNKXYcBAMKIkWm7z00V0w3wVByAhMjlIXsoUCa6O8lJb4qiQ/PGZohcFtYH+yB7eyi/ESNr\nRTNP5u7CAqttgD7zCDL2yOUgzTypRpM1kKYJ0XkQSA+AxRO20BGu82I6BmBAS9UQv5kBsFgC+qwj\ngWyWvM4zTkcLJDyDCMsEs0xYnNNRBFvQSk0H4gmKV5ZMkVNkACyRCrwzvWUmMG0GzMMHYH24325B\nAIyB1zXQ6jM9AMEYzEMHIHu6ADBos4+EcdTRtBfm74v2MQep62BGnNoiAmNjrLQUFlmISrvl4/GA\nl5IojjWFQlS1MAPKr/+eSNrf6ctJSxnay+A84OkinE6nseDtCYWfLW9Cdh7y7mVZkIKMMJhTvxvx\n2l4t+CYLKSzANp9njNF5sj4SZG59+ZyXXlsPfeYRnqePWJz2jey6RTZDMckcHnUd8C36WCJBLrPs\nH7SmFhImPq//AJnu+1l1WzObcYN0AnB9ObrtnUgF28ffXozROTFffSxVC57w+DEP/tEWZAAg3bhv\nBfU5/Ni+MqPU18dEZ7OQQnqLdK6NuL7JHFsKxRE5NWN7ezvWrVuHtrY2LF26FOvWrUN7e/ugZfr7\n+3HDDTfghBNOwPbt24d9r2J66qlEjwUTWddwaDloelA9yBgCwqogPwDpU9qxkAKPSRTWNxJ+7QAx\n/vuFzC0Ly7NQ/kH4D2M47Rf4TcoQO2F1YEi1VkQdF6SLmP5XMi1H8c6VcIkcIiXM8vk8Lr74YtTX\n1+OJJ57A008/jaamJlx00UXI5/NFy+zZswdnnXUWgEIVwlCIgopjLPREopz3kqHJtzAdgclfhoRR\nQX5fLDKHDqSHhOGQ9YXTgVD9YYT5KZIaqg8hYRS8/zBUZ/7fCiZeGaoylB42zQ99XAyXh4qhWUET\nT2r/VxgfRErNuGvXLuzduxc//vGP0dTUBABYv3492tra8Mwzz2DFihUFZQ4dOoTrrrsOy5Ytw09+\n8pMR3zNSg2qEdCk9eyXQgz0bA6kaS07imgbU1gH9fe6qQwrLMx6RktxIOS6SuAYYcSCfpfo5tyMc\nW5DSVrvNmA1x4EOAATyZAm9uIVWmBHmNz2XIEwdj5Bne57mdxZNgqVrI/l63fnCN9pdA5cFznqVg\nPufyR6soTqo7JwCqj5YS5M1ECC9d08B0nfbmpPSMVhIJAMxH0/ECrbGZwr44qlAjDhaPEw9SgtfU\nwrK964MBVncntIYmwFZFkocS6Z1n6+8l92B+v46DvM/I0/E4mH10gQGuq7Moj7WxoJIcC48EkRJm\nL7/8MubOnesKMgBobGzEnDlzsHv37qLC7E//9E8BAKY5PAenfjidJCp7S2Olw88zHvRg7TVWOsy/\nFIImWL9rqSL5OefkzzGRor0tn+d5N79pQpoWJGckCGIx2yef57lemHkKj8I4+IzZkC0zACFcT/ei\noQlWVwcZclgWGUDU1Hme4xkJDiYsaLV1EIYBkc2A28YDIseAHJnSI5clAVdTC67rZFyiG0AqBe74\nCbStBbnjMzKXJb+QjAOJJO0Farrr+d7q6oTV2wXmxE8b6Ce+HB+V+Ry4boBJAWPGbDJNj8XJZyMA\n8+CHkP19YFJAb2iEBIXbYbEYZG837Tum6ty9Pau7C8hlvI+FhiZfqJhojYWR0EzTIZMaGdz4XF1F\neawpFGJShZlpmhgYGCiZ3tnZiYaGhoLfm5qacPjw4YlkTaEEJn0AFfF8X4pmnJNVn01LKQEpAOaY\n90vAEm4ZZpvSl3oeZsTAYglvAjEM8izveOCQRTZXwqby9pkzYjXoeUMKEfZ94fpzdJ/NZ6of3jsE\nY+Sg2KvRNe4I8wKAnl3z2pPHE8HVFCcHwW71tg9I97diz+tf3YxQFeeuvCM4ITPGgJDPRoXKwqQK\ns+eeew4XXHBByfTzzjuvZNpEdDJncDkTtqLLS4NRUE5pmrRyiVGssZJ0nASPzOdJtZYlc37HdN3/\nnpmmuV7lpZQ08WdzvnTbczvz8ROLQ2uZATnQD9nfSw5yOw7CStaQhxApSb1oWz5q02ZAYwxmVwfQ\n3Unx1HRarcm+XoiDBwBIaDNmwTjqaLDaOoAxCCHAhAWZJTWoMAxSLfrKi94eUu8BEE3TwBMpwDCg\nTZsB0dcLQILX1lN6Xw8ARgeoGaOzY5bdZmYe0ogBukHhZBqnwTp8AODcDS8jersB+8ydyGYoSGks\nTuFkZD2l2+05nHcLgJz9OmrXeMINLROVvhcVGsDwxopCASZVmLW1teGNN94omb5p0yZ0dXUV/N7Z\n2YmWlpYiJcYOv0phsmgppaIHoaHr7uHk4dCSMyDjrfil43HeaXtmu8uyaWGZQIYOBzOA1HeJROBd\n+ScN6USodurPZrzVHmNAIhkwdeexOB0vcCYd0yQB4ExYEkHTfJPipnkPYKu/nPK5HGALLABAeoDC\nrDAGcAZeV+/xAqrbTzu+GV3+7TRajWjQWmbSh4RTPpGEzOc9K0vn2IP9wcFtryHD7fsik3GjGtD9\nZfD9qLE3IlqhOCJlzbh48WK0t7cHVIqHDh3Ce++9hyVLloz7/cJfOJNFV8LVP5lG/ioB+E3jh3oP\nQEB9xxgP/FCYP2R6X1B/0PEwC3nNR8hRcCBAaBF+ELYulCJogTmMfhb8LWgd6pyP89cXoKUM3qKI\np44R0VIg3KJq7I3tqlCISAmzZcuW4bjjjsPGjRvR2dmJjo4O3HTTTZg/fz7a2toAAFu3bsXatWvL\nzKlC9DCSL9YiE8KQc8QQ9Ycnz6G+oH35h/zaDqWHc4fLS1m4nRWuIViGDZF/GDwOisKPCYXyYKpa\nMgIRE2aapmHLli1Ip9NYvnw5VqxYAdM0sWXLFmi2jr2zsxN79+51y1x77bVYtGgRFi9eDAC47rrr\nsGjRIqxatWrI+zlLeL8+WtHF/8rNTwF/lun9r3HAMCAB1+s+46Rac/P6vdj73z9A+2eBui3ydC9t\nr/2G4UVCBmil4XrmB6SZ9/gRgtwh6bp7f5ZIkRNfxgDOYXV3URnn2XTd4xcgow7pU3cma2wfjKTm\ng2nBUR1KIcj03zTd52EMbgQCKWEHKg2FgWHe/Rhjwfw2r2472SrQYb8ry3I98kspKfinvz7THLx8\nwbsO1TfefWmE/ESBVigEk1XeOlJGwzw4qnQY5eRHCgsyb7pe7sHt81iOabqUoHNiNWCck+FEfx+Y\nkz8WB0um3PxgHNA1N4qzzOUgsmkgbe+/JWvAa2o9wZUjP4o8VQPGGG647lpcv2FD0JpSWK4PRTHQ\nD5FOe170NR0sniDXWIwBsZgbZdkvBJjtjV6aeUjTss+bSbpyDs0x9OjpgujvA2znwLypBcz2tA8A\nMj3gLtGkpOUaNwzXOEbm8/RsjjFGOD8kuBELGM4M9q5ELkeC2LGqTCTcYwpSSjKU0TQ64zfs+kzP\nOjSZ8lyKjbDvFK0/m7U/HCam/okea8PBBw8/GKArfWU2fXpdybRInTNTiB5GM4AmEtIXxgRCBAJj\nMk0LGHown6ADQKuXfN57HsZcYUKVS8h02qvfCp5dZLE4Te5u+ZBiw14BuuUZg7Q8fnmqBtq0GV75\nkAd68ukog/zYhhOMMSCZCt5fyuD9pHDPoAGA1DT3+V3h6TfNN4zgZMk138FtBsQSrmAcFkJe/Qv2\nIf28DwemCf9+o5RyfFWUpgmMSD2tEGVESs1YLoQXpzLwdaquUbkCjLzZ6zrp0uJx8Jpa8nBuT5aB\n/JoOrWUGecKwJ3M3nTHy2m+viqQQJDhSNWTazxjFWEsPBFWCNqTPIwexxsBr6qBNm+Ge5WLxBPRp\nM8BstSOPJ8gS0TTJ/6E/HEzgOW3oBngyRYetOQ+Ee5GW5ZnX26b20A2IgX5KA8iZczIFcA6Zy8L6\ncD/y7e9CZDIQ6QGY7e8iv+9diGwGVlcHsq+9hOyb/wvhrExz2UB9xXj00yyR8IKmahqYpg2afzBa\nSkmx6+IJrz7Ox7VPsZTjxYS5faqcfdzfx4YeCwphVPXKzFl1+DuRoiNMM9sKzre6YLZQ89Ph/CxF\nAs993yCVkpNfWKQalG593hk1AKRa1LyjAMI0yZO9tC0RGSOhY6ezVIr2mTgHA8AbmuCZPUgydbe9\ncLgqxhD/Ls257abKSxf5PHkUAQPTdfBGqp8xRqu1fN52Fkze7a18DrKrE4CEhAXrA89xt7SA3Fuv\nU9QASXtuoqvDXeFKIW13XHx474rzQNuO+d1r2vjWF6ILjnlEpa8PQisUR1WvzFx1lLoWXJ2/cvMx\nXlfpp0MhPpht+O6ImyHrA4L5uRZUDwoRqo97ghhwfR2O+nmkZ+jh1u9DQRDKfB6OOo25/8GjzTwg\nvXTEfV5QGAJe9NU1GtfRoNL3y4ZCVQszBYXSGOGkMdQkoz6oFYaJsQisakbVqxkVXZoOo9z8jJaW\n9qpISklCxTLBhIB0rBQZqQNd1SRINjm1MSEK6gNIaSelpPpkzJNXmh1hWlIuOLklo4ptI5ZRP4/G\nwfJ2zb57uOlmHtzQ4QhknqqB1dvtqatcjgg8kYTIpF01rOjpgmxs9gS0HV16NLwqenR0GGFVtEIh\nqlqYuRMcvA4yEbS/8yl6Ek357XfBOYdMpoBs1rYOZOTLUdPIeCRPpvNgzPbRaJ8Jy+cAId2o2MKx\n1svnA+s2BpBZu3NfO9SKFHb+HNXPamrB4knwuvqAMYPDrzBtM3SHH92gyp1YfvE4ec3XdMhUDe3z\nCeEGG3XrkxJyYIDOdwEUCWDaDIieLkAKz/AkPQApJXgsDtYyEyLdD6Yb0BqbgXQ/RbDmnAT/QD/t\n8/lUjpMxdsZKR6UvTgStEERVCzMH4Q4y3rRCeVDwsWIYkH4LRMuCNE1vP0LTbGfGNh2LByYQJiWE\nE9IFKIhYLfO5gKk8EyKQH4y7gizMH9UvIPK+/LYVpdufhAA079mg6ZAiF3jeAD+5nMc752SkYnpB\nbqWmueFjGOfQmqaB+y0shaD9PSe/EOA+utg9o0ZXEiqZ9yhA7Zmh/CqFqNJR4cP5X2SzkJm0K5DC\n6VZfL0TnIchczqZ7IDoPk7d7AGCMYnk5B2MNAzzp0dKyILNp1xQ9XL9bj0NbeSAzQIe5pfRWUA6S\nNeCNzbQC5Nz1Yl/qecE1Mt9nDACjQ94Jj2YhQeJ4rgez1ZexOFl2MkZHBzJpOlpgx0mDZXpKTyFI\nmPvuzVJ1QIwCfELTwGtqPMtRxgKm9lII8qqfyRS0U6l3qOjBx9pI2lGhEFW9MpuIQeh8bU812kE5\naOFMzJIOzcpMBkjVeOmWBdl5yFa5AaKLHFVLwKY7wadNdyd9xyzeRSxOXjukhLQEedSwzcEBBEz3\nIW31YWaArBaFALPPZbmCgpF5urtCa5npBsQEBulLzorNd28AQLLEfpVt+o9QfqlZQF+Pt+eX7g/w\n55j2u1zE4uANjXB30+IJcPs4AANc03W3PXI5ipYtATAB5BA4LlEugRCVsTLRY02t4IqjqoXZROmz\nw52uEulwO5WVH6d9XYY8NR1A6jwpgt4hHEEGANCDpviF708GQ7bwYP2QdrrNjJTCExTF7hcur2kk\nRCeov4VpYa8gw7y5tOMeynmGWBwB835NG/xetpcP9yc+RP5JpMveVydh7CkUh1IzKigoKChUPKpa\nmDlLfGcpr65B/X0U+AB86jvnKkOm8pw8XfjzMX9+Zw8sbGLv1s+Ch4l9+aSUkLQ0tGl46j27jAz9\n7+dPShnYgwu360TQjtsrh58CXjkHwDw6nwvWZe8BlrwXd6JEw406MB68q+vw20WhEFWvZnQ6h7N8\nn0q0f1CUk/bzNhqac06m6LYXdR6LB+rnmgbZMhOitwfIpskogmtgtjEHEwLi8AGwWjJwkLkcmczH\nbJ+Jmkb1Z7Pkasr2gCFNk4RYbzdZASZS5Jg4ngRq6txJ3S8sAFJ7YqCf3GJpmmsqz+LxgApvot49\nTyQhdYOiWwPg9Q2ABNEM5D/SsmAe/JDK19YHxgIsCzJN/Eoh7aMCzDVG4bEYOTHOZUl9ah9dGJI/\nOyoAHFdfPpdeE9keU23sKRRHVQszB8X01FOBjoL+3z8Ax0IzxmhylbGi9TPGwGtqITTNEy5GHLBs\np7lSQvb3Q1rCay/TDOxnsUQiwD8sE1Z3l72Gge1Tsc4zrQ95lA+s7iABK++GVwEknXHzWSSOZ/s4\ntPu/roM3Ngd+C9CaRk6YzVBkACddSoh02leeVpjcfmamaYAvQkExHsK0zGW9SAF2xAMejrodkbEz\nVno0YyVcz2D5FQqhhBlQ0ElUp6lcsFiMTOQdIReL08pCSjJ1j8Xp/JZ9OFnms7bJPCfTdctyLfOk\nZdEB43wOgAQYJ/N8x3JPSl86IJ1wMo4Jfyzh8QN4RwLgFJcTQg/WlwO0pgFg7tkzOkwtvbAxIRpm\nHsI+dO1fjQz3fkw3qH0t72ybGnseJurZp7pPRgdVLcz8k8FgE8VETTqKHmeac5ogNZ0CbDrBO3WD\nVIf2KkxqGtB52LXKE5kMUFPrVegE+wTIi4ZhkDB0VI+mCYCRvDRi9OefiGJxOi/GycGwk46QOqrc\n7cU0nQ5h25GgXThRsZ38XKNVlSVoZSVEILLAsO+v62C6DggjINjV2BsZXa3CfihUtTAb9hdsFdJh\nlJufEdFCFJjaM10PqA+lsIKm9AX12fO5I4BQpL/4fguka3qheXux8pP0/oYsG+YtTNsBQt0G0/Sx\n8Rry6h+pvhMBOgwlwIaHqrZmVKheBE+lFc8xpnS1V68wSoRXYwrDQ1ULM6fTqGvh1fkrNx+jugI+\nr/UoNMknV8M+U3+nPLzyjJWm3XpkiXQBOlw9Mr4djAc9XnVKKWmv0P0dgBTlf8dVflUoRFULM8Dr\nHP4NbUVXNs2caMfcNmnOZiA6DpIjYCkhs2n4wVI15H7KtVKMkaWeFqI588zvSQfpS094Doo1T3sv\nJamI/PzJbIa89ksZSJfDoYWwy2cgbaEyovLF6sukqc4i6QAZ1XB7j4xxO7IAC1mahuio9IWpSCsU\nR9XvmTmDV9FTjGYM3DBgdXa4pvWyq8NzSwWyrmMNTa4neJlMQko61wYAMhGkhREDctnA/ZBMefmT\nWiA/EJqATBMil/WODuRzZF3p8OMTCMVo5PMBr/oyn/fCuTj8hBD+zU/LXDZgmi/zefBYrHh+XYfk\nqYBgHqz+SPWFCqHD7ThYfoVCVP3KTGFwVPLgEdkMxEC/JxAYWTa60IOGDHA8yzv5TRPI+rzCWyaQ\nz/vqK5zYB20vxgKrNrARDj/GfOfWbDqEEX29cz5kfcHbD/F8CgplRFWvzJyBH54AFD34hFhufoai\nhRCwPtgH0XkIkIDV3wNt1lFkng8ARoysG20PFEII17uIBMhDSD7nepZnfb3kOT6fIzrPgYYmVxAM\nmz9No+MBwqCv7JGW13VwXbejA0ifW6nS5QdLY7pBwt2ySJD5AoYOp7yiyzPW1AdFcVS1MAuoXEKd\nRNGVS8v0gC3I7D0HI257hrfzaxqY33uFsCBs83MGQJompK0OZAAgBakEHdowXFN/vyrQvf9QtO3b\ncdj5Q3TYK/+I7x+mNW186ytCR6VvTAVaoTiUmlGhKCp+8AT4Z65gc+lxq3vwfaly0VHgQUFhMlHV\nwqzcKoXR0pNxdf4m875jbRcXLCi8pBQA933pIlx+cPFWoAgSIiDQotIv/HQUeJgKdFSvCoWoamEG\neAPfrxKJOg1MrEqoXLR/EvbT0jLJdFyIYeVniSSMece5xh4sFgOE9JnV80DbgnPytA+4IVKYz10T\niyfA6xo8AabpQEjgB/hN90P0dAf4DdyvyugojZ2pMNYUiqPq98z8nVfRYzMXHm8aUkJk0mD2IJaZ\nDFgyOazyrK4exnELIfr7XE/vYAyIJ1xTfLqFbUrPOaSMk+m9Q8fiYEbM9ewuEwlIS7h0uJ1kNgPR\n10MhYABIBgqvEjLV97freNN+TPS9RkJHoS9HnfZjyLGhUICqX5kpRBxjGbyMBcK0SCk9j/YArZx8\nNGMs6NleSi9kCQCYFp3N8tXnOCt24S+vJh4FhUlDVa/MnGV7ePleDtr58ooiDaAs9wdj4Ikkxb4y\n8+4B46HaUwhBZ8RsQSVsLxfo7wUAWPEEhX2xvXBYRgysvhFM08C1JFkz9vW4pvimHoPM5yAOfghA\nwqqthz7zCArtkslAcA2Ix8HiCWjxBKlETRPM9sQ/2f1pMu9ViXSUxtZox5pCIapamAHl13+Xkx4v\nFZKUE7x3wXnAtH7IZxOWK8gYQGFb+no83nNZyAHPc7sEqRqLlQcA2d8D0dUJOJ5ETBPS8nnOYABn\nPgvCeAIsHq13reipMdYUSqOq1YzF9NTVRA+GseQtO+3FhrZpQPryMBTmh//LGAh61ZcksNx0zuC/\nQUH5cj8/i55pfrXTChOPqhZmUVB5DEaXE1HmZUg6FOBFAq4RiZNeAP+XMBAUhwxgPrLo/UNf0mPi\nfxzoKPBQSbRC5aPq1YzlHkSD0eNZF2ODO7Edb3q8+R8RzThFT87nSTDFYkBDM2RPJyXrOlgiBTje\n86WgMDGOw2BNp2jL9p4ZEkmwegnZ2wVnXcd8FpEMEpCFIjIy7aHoIelKyA0L0gAAFoBJREFUG2vD\nhf7p1cPOW+moamHmdJLx1GdHmQ4/73DowdprKLpcz8s5B2JxSN0AhEUhS2pqIesbILIZ8FQN8WrV\nuYYljDFI04TI58GE5ZZnTvlULWTzNAAMvLaO7mkYtD/miypd7uf3o9y8VDM90WNNoRBVLcwUhkYl\nDyDGOeDbP2K6Dq7VeLSm0QFpnyCCz9SecQ7pL2/EyFmxb4LxC7Kowfmajyp/CgrjCbVnpq7qKiWk\nZZHnfOd3roElU+A1teRJhGsFRwPKyq+URWkpJYQQELkckB6AHOiHyOXouEKJsuoajetI3otCIapa\nmAGe5ZfTScaDBqDoCNLOuwrTUlh0Ds0xHOEcLJGgiNWMgcViAXqo+iaDdp6tKG2agcPg8JUtln88\n+/5k0xPVV6JMKxRHVQuzYnrq8aCnwtU/8U2Vq4MCGgia8nM+eP6I05BBa06w8vOkxtrE9GUFD1Ut\nzBQUKgFh1dJQNICQZeXQlqYK0YESWKNDVRuAjHSSqDY6jHLzM1G0ZByMa4CwICXIFZZuknf8Icr7\nf4vK80DXwSzTU09ZJmAYg5aPDO+KLgp/uhJ2xVHVwoyxaJiSR5kOo9z8TATNOQeSSYhcFsjn6SRZ\nNgtpCLJgLFG+mOpnMvkvtbfCNQ0ymSLfkQCYYbh9PZy/3G2v6NGPNYUgqlqYKQyNahpAjGuQyHs/\n+D3mRxB+AeXQgf9tIRYuo6AwFaH2zDAG9ZS6VuxVCgGRTkMO9EOaeUrjHDyZAjQNYMHwMf7yUaaj\nwMNk0FPx6n9/Q10VClHVwsy/6nA60khooFDFo+jo01IIyPSAG4tM2OfLwBiZ38cTYMkUnS2zVz+B\n8hGinWcbDj2Wvh41eqL6RiXQCsVR1cKs1N6Huk5N03z3arsadqYGxng0+BqH91Tsr9w8quv4XxUK\nUdXCTEFBQSFqUAJrdKhqA5Cw/rkaaMYmNsJ0uZ9vOLRkPMA387l6Gml9YXVeOZ6nFB0lXqqRHunY\nGe7YU8KuOKpamAUmNLuDlIP2d05Fj900fSiac26brucAITyv+aPcuyhn31F09Y49hSCUmhGlJ6fJ\nohVGh7G0O2MMPBYnYw/OR1w+qnQUeKgkOkqIMm+VACXMEA2VRDnp0aLcfCt6cLVnVHhSdGl6PNIU\nCFWtZvR3kMnqxI46K2q0g0qn/W2taEX76aiMtbGOPbWCK47Ircza29uxbt06tLW1YenSpVi3bh3a\n29tL5jdNE3feeSdWrlyJk08+GatWrcLWrVuHdS9HLeN0jsmgK+U6VfiuVjpKvESFrpTrcPhWKESk\nhFk+n8fFF1+M+vp6PPHEE3j66afR1NSEiy66CPl8vmiZTZs24ZFHHsHmzZvxwgsv4KqrrsI//uM/\n4r/+678mmXsFBQUFhXIhUsJs165d2Lt3L66++mo0Nzejvr4e69evR3t7O5555pmiZXRdx9VXX40T\nTjgBmqZhxYoVOP744/Hb3/52yPs5S3h1Lbz61SHqOvp2KxcdJV7K/U4q7TqcdlMoRKT2zF5++WXM\nnTsXTU1N7m+NjY2YM2cOdu/ejRUrVhSUufLKKwN0LpfDgQMHMHv27CHvx1g0TPNHS/s7fSXT/mer\nJNr5bdzerbAACchsFoAEiyco6nUE+pqiozP2FIpjUoWZaZoYGBgomd7Z2YmGhoaC35uamnD48OEh\n65dS4oYbbkAikcB55503bL7CeuhKoZ1OXum0/7kqjfZjrPXBsiByOdfNljRNsFhs1PyU4lHRY6cn\nYiyE7zNYfoVCTKowe+6553DBBReUTB9MAA31EjOZDNavX49XXnkF9957L2pra0fNp4LCcBD+Uh4z\nzTh56nf2hzkfPH8J2j9WBltJRoFW8KDaZmyYVGHW1taGN954o2T6pk2b0NXVVfB7Z2cnWlpaSpbr\n6OjAJZdcAsMw8NBDDw2a1w9n8I/7pKRoRY+CZppG4Wd0O/RMSL1Vbv4mgo4SL5VCK4FXHJEyAFm8\neDHa29sDKsVDhw7hvffew5IlS4qW6evrw4UXXog5c+bg/vvvH7YgA+gL1vlTdJAO/5Wbn6qiOQfG\n0P6RehZFj5gO/xXLr1CISAmzZcuW4bjjjsPGjRvR2dmJjo4O3HTTTZg/fz7a2toAAFu3bsXatWvd\nMnfccQcSiQRuueUWxHz7CwoK1Qo14VU2wqsxheEhUsJM0zRs2bIF6XQay5cvx4oVK2CaJrZs2QJN\n0wCQynHv3r1umQcffBC///3vsXjxYixatMj9W7Vq1ZD3C6sZ1dW7On/l5mMqXR1MBj1Z91TX8vYl\nBQ9MVnHr+B+dsfJbxinaHrD5HGCaYLE47SFFjD+HvuGGG/Ctb31rzPU5K6lKosvd9tVODxcHD/YO\nO28lYPr0upJpkVqZTTb8+mh1Lf8VUkIO9JM1n5SQuWwk+Jrw57YxHvRE1FmMVtfxv/rf33D7jIKH\nql6ZKSgoKChMDVT1ykxBQUFBYWpACTMFB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rv/qr7+trX3zxRR4/fvy9XOqPB01porW6RJIMXa5Z+kA2usUgG71jHD5NYWcI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\nt2OoDMRDpQDfar+hpPYKygpYbyBJCj8pvpWo6NGENuhnx+itYdAbFFB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J9RPyFL4fQ0+O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\nhmoRkPudPHYYZYX9Qsua98h7YJhu95N1wd+7xLcbH9z9mTu6C+J1ozBpX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bLIiSEaR96uWMMp+iowSfDJgXJb1egXbS6vRNi7cz3DIcIiYTGk+awfkClJfA2gigzmtRQ6Qz\nReoFyiN+3apevcegxlg3K0YFbSOGMoO+YCI2D47Wrg8bZ1fiL2owFKSyUvj9bZo0EudGEEqh97gk\nkrFJHItJVXZPC7eoUHNxIfTLEr+z0WZ1Dv3qQTBM8viqFu2GjeWTBNWID4KPDL6XSqUOMndVSoJ3\nXuAGgkmJVcA/WIub5/jtEYoEvzXBbz/gcIjjUMkNpSszlHu08pmvg0TtvU6ZIBVxHAk4yweWQNfO\nXhagtIwpOntaRTAxanFxIrP7XipgrYHM21VRiWmVtTIuO5vhdya43S20czAa0k6GMocfipiV3xqv\nWrP28h6cnqPnS7xW2L2dC5K+Lk0wzgmosVmKmNX+DnZ/B3P7cGUIZq9eRp/PxG3v8o7oeASMCRA6\nW6LB4I2RYLK3Le8R9ehRYDd361bH9rkXz7O5ukThW+wOtK67dMVer0fROmJlGSUZ3llUfDGhrc5f\nwDcLvPdkhUWrgQAvg5y1MIPCm+mlMoMnsP5WrCmzKmDc5b1gkxzeR9d0PD5B3z2U+fp4iM2PaGdf\noYluEu0NyRYSoO3DDIgeRG9UarWvXVFKcty2sndAVAgPT0Ar3KAvmIUkxu/tYE7P6UBTPi/RVpJ6\nn8ao6RK/PcLPc9Qgk3GWE9YQeRGYHU4cGtMEjk6I/+qc9offLWfA5jl6dZ/4vz23+rdelkT/9gLN\nf/yh1/fBfhPrdSUE3ns++9nPUpYlH/nIR1Zf/7Vf+zXe9a538aEPfegNv8C31gNW06BeuS32mVki\nrdFebw1MmgzxpxZvPca24FrIHUwma4BStzblTbWWwNu114Mdp48jWkApJ2ptDz2A/IX/6nwYKhx5\nmpJnPXraYL1dbzxt5DDxNd4roRF5D7oVBTQTQRatXBOVEhlbn6SiT2D0ukLu2qtpgi+Do1wHlAzi\nLFLlIu336VxAjZ05Src2Y5wKr5+m4vXuvaC2swR346pUg9YG8xQNdYvXXv77AYCgCxLEWoli4TDc\njTKYXXUjmVCBX1jbI1wu6HkG0s1xQTNerGUr4V73e0QN3AAAIABJREFUgqXx5R04OBTr5yzD7U1w\n735a2ptRtBZY6sYtAP0M55204XvxWlJ3xXIpYbqQSmc4EEla51Yzbr8zkdGKVhctd7XGVxW6dfg0\nlnns5X3seClCRlUJW0M5MDvDneFA8HOLpXD3U5F1dsM+jIe4TnHvUUGxrqVLYAx4RFDo+npM4m9d\nx80WomcwEB96v7MFWYqNIvTxmSgNjsQoq1MN9YM+fjjAHR4L5qLXlw5bWaFmC/RyKZXiZPxgl8rN\nlaUrV8iOqfHQ5b3saefXFNuv9/qPWJGGMvgVGQz7ozGGHtgadISO1glBW55ji1MED3JKqStInkb3\nhlJBp8lKjEkFQyF386rgffpCJ3WTkVS7G9gGv7slMtxnM1w/wzz3VRFHsg22vAuL/0YbG2pd0B5P\nafaeQt96NyZ5eLVLaqCy6//eACf6fk+wOaHr1TG6VF6KK2zToPJSJLg7S/CDQ/T5DJcm+Et7Yvut\nxYrbm0gS4ckQPxoIbiXoUtjQ4TS3D+X5GA5gsSRqLf7gCP+1V/A3r0jyn6W4/e01bgq51W7nAbiD\nb8N6XQnBZz/7WT7zmc/w0Y9+9MLXf+iHfojf//3fR2v9vcP9/15d3qNOpmiHAM+cxfeyNUocxN2v\nkDmtWixlw4/6Ilp0b4vaGFDBRzzPJYi6oHZmHfQyqjSVebMCGyc8DJ5nTEZja5ra4qwiijNy39Co\nCqM1Pk04nZ2RmohRL8ZHPYgVbVVRxzGRTtF1HShSMbjADsiy9bV6EflRdb06CH3TyoHajUqUkvlw\nB7CyFny1ZlK0Qae/U0DsDIsg4CSC/j1IZVyGCnA0lFHkvQI7dSOJTV2LjnnHWX6A2IyPjIwglGJl\nh9ytOL4wMX5gkFPq/jbjfXK/XcJh4GSK292RqtU73NtvrlXsrJVWqEcqpu3x+nqTWPbUvYyMqhZu\n9/ZYxi9GaKz6ay+j0LjtkYwPsgfMy6saNRpKcuIRCpb3QUK6L6j7VsSr/GCwPsBHA8FlBMtdHwRh\nQK5bvXJnza65srf+e+cz9MkUl8VCA11KpebTBK2N0ON2pMvRfv877r/evMDcPRGg1+EprhEaZJd4\nutFQruOpxwSnUdWCkXBe8CZeSYclL/G3dkThcJlLkjQZrj+3OvDTUSvq7SNXoFmCEnBt9/PfZFKQ\nJvJSzkGUdNYTsTyDgPdybbY8p5q9SLN4FZWfoLNdbHuMbRek5knM5behYwO2EdvgZY6anqPyBaqy\nqDQVpcLZAntp98I1uL0dlDHoJAYF1dG/4ZslNioxWQKzOWU7x126jrIVTXlK2xSPTgiMgf4jEsUo\nEgG2bnkve9BoSeTsuhuqbt8VF8P5EuO9SBXvbgnt8egMfXkH8hybjGF/++L50Muw73wb9h1Pkfz1\nP0g3ZCaGYup8ii5q8ctY5rRPP4F77BrN07eIn3sRrxTNO5/CvvMb0+X5VtfrSgj+7M/+jN/+7d/m\nJ3/yJy98/QMf+AA3btzgU5/61FsJwbd7OQFh+eCg5qtatNU3jFFUUUnWfWUPW3Y6+31B0z5oBpnK\nA6e0xhWWtmrwUYp2oE0rQSvMrT1Bv6ANwTdZbyGPYtmOcM4xTEXONK9LdCZ/s99LGWRX6JsEpzTH\nVY71nto19JII1URsj4cUZ1OWRCQmpRdlZCagkhtRMcQYoS4GKpFaVDJzj4JhS2xgQ26VNBEhmCgS\nKeAg3Sq6z0HQaFMUJo7XVUEneeqCfG4UrRUKVyMJWFNBN9uUIdnIC1EBTKTadt6Lel8vuxg44wh3\neVfkfJ0T4FLd3B+UN1c3CgnCS95oAZF6L9fVS3DDS8FN0sBeOIi9h7sn6EUuSP4sEwR0P4Ozmei+\ne/CDTAyeikJ0IZwTOknXUXAOc/dUkNiAni2xk0ICZV4IQC6JoN+Tlv+wLxaxIOpuQaTGJQlcvxRU\nKZGAV5RrbYrdLXHq9P5C50W9eiCSwUbDfEkbR7C7BSfnxM+9AChMXYuuwKAHeSvveTQUZThv1/a0\n9yw1W6wR8EWJmc6EPeO9VL3doa817G2LKM6Lr0EVaLVpIomObVCv3YG8EoGvqhEGxf5OsCsO+B+8\ncNk7o6EHPaud+mAnH+4CK8ETAHEbtMQu2Swree3Q8XvQSje3WF4KINB5Zv2KKikp24bzxWukusdu\n1Kec/xd8cUAcT4j629hxD3/2FbJDURT1vQmoIaqYw3SJXhaQjaTqzlLMC69hn7p58T0GRkVT3Maa\nBqqGujrBeke0n1BXYFSD1z2UiTHxPYlxkCzHmAcDOL/eUgp3aUfYOSAKlGGfRS/fQRe14GY8YT87\nXBzBpZ2Vo6WuG9wjtE3qH3gX5tXbsg+GfdThiZxdSSJnalmjZgvMa4eCm4kM7vrl1/9evsn1uhKC\ng4MD3v3udz/we+9+97s5ODh4Qy7qrfWIpfVKEMf3UmmpX7mYbfvO7z4y+L1dCZCD4J74oODStqhA\nB7K5KHQpJSwE5xQ+X+Irabl6HUEatMmdF5R6EuE93LEa6zVtAzWW3TQiNobWt4LER6G9wVaGZV0T\nZYaCBuc9kYMk7nEcx5z7jLyuMKlhN0q5NojE4iDzuLygbpc4u8QkfZLONKhrHTsLLmgadOA7GzoJ\nChjsy/fO56FK9iI6VMXrTkS3nAvl+sbrrwJWOHiKAMgEuc86dBa8Ey37Ili+KiUt+LqRcbEKWIX5\nYi0v7b0E9d1tuVZrVz4Cq9ZwI2JSHXtDBwohRgtgtKpRL99GKSWe7pOJXEuayFyzu/5Fjg5a/iuX\nzVj0JfRiPc9Vuczy1SuHcjudwwXGAtrInP98KiIu3T3TSirBefB+KCscSqyM54twLUY8HqIIZgt0\nXogb5ZV9abkfnggCPInw1y7L+32AQ54qQkekEftpdecIvzMRO/Hu89LCnHG7O6F7FoSatF5/dg94\nJpjNUfNcEpiOtuk9Ki9Rtw/FuGgjwKqzKbrbF7OF+FcscvSgJ8nAohDDnyyRJKCjuq3wKy506Nw6\noN8bwLvEoXMr7Dj9K7ZCuwYYWyeCSd3Lt8WaAfGIpY/P5PGmpT56Ba5d4mv5S8znX0UBXynPeHts\n2OpdxtU5tc3xx18mOjugynZIJk+hqwV+dhfaBdQemh7UM7yJcVGDP/wfuPp5uPEMenJDrm9rBIsl\nvg3eLjdv4M6CPXu2jVkaXDwi2n8nUTbBxBv7oWmCSqoRcCr+EdbP/uH3YDyUcdRGdwCQseKGnoMP\nXS139RLm6GT9+w8bXXkv+KCqlnNm1EedTFGLEr8VztPAWIj/8UXBfwG0lujF12j/3bse+Zm9Uet1\nJQS3bt3ib/7mb/j5n//5+773F3/xF9y4ceMNu7C31kOWUqI4WFYrZ7r71tYIdw7KttK+7fQAOq31\ne1cUiV1pFEGaSRXdKZ81DXFxhg1nVeQafJThdYwtWyIlWuZt2+KWFbqfobWmaIAEsiTGaaidZaz7\nlAsvRiq5gyKi7YGKFE47rNc461kqh8kyateybCpaF8lbaBZUbo6LPGprjK0batWSpPFaptkhB2FV\nhTm0XoubtC1gJUgNgoWyDgDKtn3wQbH5tU38hVIS7Be5JF6t3F+fpoFmKSqJym8MAaoyjF60zMR7\nAZuQiymSOj4VGd8Q4DrfAXd1X/j2d46kFa2Dw9rpVP6XJuLgVjXoqpZ/K4VeFNjBIJgfpdJlCXNJ\n1Vro9XCtE9Cc93IgK7W+XvlJqFux7e3EpJzHZeH1jJEE5vBEfN2dw7z4mgAIRwMJor1e8JyQdj1t\nQG4XFeq1I0xRSBz0Sqib88UKua7qFjtdrNUh71luMkZPb69tt9NYdDj6vSDti3TUxkNJwJQSWmP4\nPP1Dgoa+e4zKUhn7TOf4tkEtHZyeiSJhsP311y5fCMZ+PJSux2SEvX5ZFO2cl2TRBDCri/CDZA0Y\nbIPYVrfXqnql/skD/Dbkd+p1B8AYBBxhLo4QvJcRTGQg96jG4b2F8dc59p3bkDD3VLYhzw+o3ALd\nlBTVEXfUAOyI7cFVsLVoQPR2wcN8eZsXY8Pw/EUuRVuMdA+XFTB6j3TBzr7CvMqZupb0zn9lb3gZ\nZeQZto9dQ+UZ7vx50AY9uY7XBoujSq6DjlBGMxw9jlKKKheIlC5b0lhkzlc+IN3yfqUcymIpgmlF\nIfTH0fCi7XRVC0vGewHt7u8ITmdfhNHU0VkQUxtgr12S0VnTwnIJJsLdU5ytVtNK5zaSxF+dzvBX\n94VNczrDGYM+PSf+0n/HJbH8XHgPbvwQq+hvw3pdCcEHPvABPv7xj/P3f//3vOc972EwGDCbzfjH\nf/xH/u7v/o7f/M3f/HZd51trcxnzaMEbpWSjfqOvp5QEs7ZFj1JaPxKwflsTxRpXKuJISdAwhrax\ntD5GWYX1hkQ1mKYhni6JpzNslmL7fZKeoNINMb6JsRUk8xptFc4mFNOG3m7MLKqY7Gj6JqFSkNQt\n06am8Z68mTOJHZMIElsATnATClQWRFKiQJVsG0kIlgF0F1nE1cauk6Iug48i0KIgJ4fsAx6Frmrv\nVODioJnQ+cfPlmswUqQlkSrK9azbO3yaidkOQtlUcRhRaL1KMJTz+KNTqcxQ+KKQkdCgL/SnuSQY\nK2+HosQUFb5t0EXQT/ceZYNipRd/AmlFRqhI3Ag5n6EXghNxkRaMwWggbISdibzfvMDFMaoQzrTf\nET64LwM7oxaxJ91a/PlM0Py7W9jtMeq1u0K9Whai7riSsg33ThvR3AcBkmpJWlGsP5/Woqy7mJht\nAl/vXdcu0TqHuXsi7zFYULure9KNmc5EH2OQYV49BMDuTlDDAS6N10JBzsmMvxPN6Xw9xgPUSzNx\n9KuELurCqEdZK26VHVYlNrI/xkOc90EiuJXRQxILZW4ykgpxE3Day0KyaqTC7zpbSksnIb0nie8S\nh87fxNn1mGHjvglhJkLNHcp6TKJQLfjCQe/h9EU3HqKnczSa/ugKs/Il2naORrFszkiTMVolzP2C\nra0bDKM9fHWGzwo4fY2v1sc02VXSYZ+XqwXvSCZihPT2t6MPjpieFMxGhjZS1G2Brubs9mVs09oS\nqz3J/ntwTU6y9x6a/ID59DmiaAC9fQ6rO5yefYnMXGZb3RJ8koloi5q4r6XTEm10QmcL9Mk56u5x\n0Kto0VEsmJCqxuU5ei4y3D42KxEz5Tzq+ZdRcYzdGQuL4sYV2WeAuXMEx2f4yQj3xM31PnpQYdEl\nWIWMb1Qn264UbI0wd4/l2Qxfq/7XH8a8ehc3GVL/7//zQz+rN3q9roTg/e9/P8YY/vAP/5C//Mu/\nBEBrzTPPPMOnPvUpfuqnfurbcpFvrTdhhWpFI5onAKpV0HhUOsCVC3KraOIEHQ3JvJfZcFXjvnKb\nZDnlUt0y39lBRTG7vgKGK1S+q5XE7kWNt6AaGA5ivDJMzIBxqqQzaGKWtqFwDcYpJklEiSWqG4wG\no2Kca3FYdBphTB+sMBBEhU2BUTRa7HKNT9AuYCDiaP2wKiXSwn7j/V+Y/wesRCeG86C5YKShDCML\n6yAJ1stKhcSgxY9GoroHUuUuRRKVvJAkIxgJqcMTYR9YJ0lB5/2utQDhzEYF2WkYDALjgAC0y1Js\nL8PcOcR7JZiRNIU8F7fAu8eSZERG+Pa7I0lK0gAeXOTiomhbKBuhWFa1eFPEBo7OxADpbY/LdUyD\nb71W0Fj0sgyaDbX8XRPj40g05LUWmWkTRh9RJgFvfxs3nQmwMYukmlcI8KqXSgU/2kh+O/xHkqwr\n5GuXcFpLwuKFdqoOT1ciTmiNefZFQbkD5uCY9tZ1cXp87a4oy52cYqZCS3S72zDIpKqbB056lkJr\nJPnqOgxKXxDE8Vtj/OGJBJ00lmp9aywzZS8dmRXwryjX9NZ+tqEKipgMKQV18Cex7bpT0LYSVDa9\nODYTgSTC1xa/9LStgShB60JuSxSLg+wj8isAdia4UR88ZHHE6CTn+3f+Ay/On8Mtb7MXj0mTLUbR\nDr2tt5Gku9SH/51FdYTd2WHWf5L2+J/R86+iVUy+dY3++DLN6XM4e8xsXGC9QdmUdnCZOuB9quKQ\nxfmzgEIpTX/yDEZrssnj1MrhXc1JdYjHEwUA89Qfs5NeoiWm0X1UscBEFwOyqhthYimNni1EHruf\nSTI36GEOjgUwDHAyhSuiF6EPjuR+ZynRq3dwt67hgoiX+dorkvgD6uRc7NirWhQZlcbtTFBNTfSv\nX8W8chc37NE8eTN02jTNkzcwRSUshBuXif/py+v737S0zzxJ8yNrOf43a71uHYL3ve99vO9976Oq\nKmazGdvb20SPMoh5a33PrdWzFIB1Sg3IVUwTRagooak9SmlSLdWrbio0mqTQbJ9W+JEFnYrUbx6C\naiGMAdNXuNIRe9CVBWJUrFbAvFgbrve26ZmcRSviKHiPijPaZkEWxSh6qGSIifoo116smGxFRYNd\nzDFa0WpNNrwlbXTYGA3odYXVvemuG9D93EpD3oCy988H+z0J9K2TyjcRBUUWy86ZF91ZOcexjIjH\nUsH6YX8dEJJYqsn50bp9P8hkPABBEtbgqwCa6vckYGktwatzbfQAXhDzdSMVbV2vPSy0Do6WIr96\nr+a8JDM6tDa1cNCXhXgMWA/728LlX+bCvW5riMK8tchx4wF6OguOmxZ3aUeoVJ3/gicAM4NYk/dy\ncGoFSoujYlGijGgceK1k5JWsPzt1fC5t4TZ4xo9EBdJf2sHPZXyjpnOUl5m+ai1+b0uErDp2BaDu\nHIpwE6zNttJE4HqLHBv0H1TdokZD9GsH6NOZeDlYJ9r1W5N190KHMU8k+B29zPGzOW57WxKa/qZb\naLP2q3BOxJa6JEMr2RdVoBWOwv2tKvkcm8DssHattbHJVNEa7zWkoLwUyy7LMI0XIR3vIfk6LAZA\nLQui51+G1hKPpgyvbvGe3X/PWbRN7ZekZkh/cJ1etodShkNTMLN3ofUsz/4fVAtnoy16VUmha9LR\nHvb0efL8FermkBOniff+F6LhNW4k8t7L/A5KRzjXMp0+yyK/i0tSsuEttgc3KfO7eCxJMkZHfe7W\nBbaec1722XM9BnFLW4EeGAGOBtqrT0WIzPeF5UAkSbZuGtq6WX3mPkuDx4R8Bt46VJbKmMBaODhB\nzSRB1K8eyOhsayxS2nmO6syqtDiTRq/cIXr+ZXHpPDlDn8+p/o//uAJit2myAhW7vS3pOABu1Jdz\n4juwvqlIvlgseO655zg6OuJHf/RHiaIIay3mW5XPfGt9963OnjVK5DBBqEnNEkwNpmwxkYEyhkyh\ntMdbjc/6UAdEtBLF42bhYRCTJA3JrKFSCSzBWItPDSo8AxEw1DG1ctTOMYxjWq/Q6Q5KW4xO0CbC\nu5aqqTF4Im0kkOJw1ZzIW3yrYZhgiyVRlxAEZPxqbXYFqqDRX9fQAeK0YmVvnKYXOwUPoAD6firO\nf/j7qXfOQtEi8xh14ft+fwd/ciZBsN+D8Qi3E/TXg4iL21S6y0tJWq5flkB29wRVVcKJPp/jnrgh\n7f6iWCueTUZyoHUH2T1tTR8ZCVQgyVwUy7XWDSuq3XiIN1p+djiQqlxrQMOgT/v4ddSiwF3eFZzG\n5pnQSxG97Y37p4OXRrgn6nxGcCEI+hAbJNeQnJAXAoYMdtd+O4g7dc6T0xDoO6YFCL0wHNh+PEC9\ncoB2VjAzHQq/WxrpwGSpiDwdnsikalv0BFRd43CY23fxB8e43Ql+b0c6CV2ViHQ5tJJ75a3boEre\ny0bxwboYSS7TNLAGrHQCzHq8tEpgfdhPWl0UGbNOQLUodCyK4D7SuMxJ/puoDXzAw5d56fYKILp1\nNmC6rfGDlBvXfxylY1pbkiWTABaG4+N/xpbHxCpmWM9Ioi1MMmTU26POenjvaG1BWZ4wiFIiFbFw\nZ7xt9IOkYVznvOc8f5XD2ZexbYWNUgaDGxRViSqXPL31Lm4OH+Mwf5GTagk64tLWHtUSclUzti0q\n0mJ7EunAcBG7ctdLUHmN2x2jknSFK/BNi1qUUlicgX3mcQiUSO+9aCM00gXzWYx56TXctUtCXT2f\nS6KpBTBrXr4jOiJxTHv9snwWZb0qNlRZou4eooLvjN8a465fAq1pf+AduJ0tVF1jH7v2rUtRf5Pr\ndSUE1lp+53d+h89//vM0TYNSir/8y79kOp3ywQ9+kD/6oz/i8uU3jyLx1vo2rs6qNZgDpdZSe4PS\n4BrFsOvYXhpjy4UAuU2EvbovtK/MiDVzoOIZA2bbiK55aaQCrQ1KKXTk8JXBxaDbGj9v6AE3Rhll\n3zCvWxKlqVA03jDSBpcfM69yCbw6I4tjEmtRToUKskZlA1RZYwYbB+Bm5a/dOsAHfXTRXxAFva4V\nTtfBaNq1CMzDUMq9wOYoahRebImDe5rquhNpKr7nmyjyZS4JyLAnoKWVpgIP/lub+gbBAlotAtbA\nWdTZTMRe8kra0x78ZBiU89SDX3M8lNZ7dz2I66afjFF3jkReOIok8J1Og2z1UiyZL++G+SkSmE3w\nszibyc9NBhsCUmFZi86LNX7jbBYEWbqEbQ2Ok1FJg5oFo5y2hTS8l7JaJ2ZKyQimrCSxynNhRjxx\nU1Qep3M4nWLOZ6JlMejhh0PclR1pJWuDvXl1nawliYgYLXK0R8SsQChoTYNXItXsQLAAx0G/32ip\nBAOVTrXtOuXoxLK6PlLZolwZcCc+vJcAviW8Rhavf3c+B7TsQ+tXe4BCjIloFHh5QE0GPgMT668r\nb3BhbSTNxhjG/VtUowyjDEYZcl9wmL/AIBqiynPy5Qv4OqfREdpBlmzR0/KcTPb/A6Z/CXX2/IoB\nkYyvsRvHq2TAe8/MLZhWh9TlAj+f4fWAg4Wj3BuxWE65Uz/PD20/xpPDp0minNytCxRlwesE3+Ro\nE3AEQXRLVTXsieVyu7slUslnM7hxFd20aOWFYqiNMEheuQPG4K7sCf6lrFBVTfqf/4uwIF54FfvE\nDdzuFnZnAjtb6MUifK6NdNacxV6/hPnKS6jzqeB2toaSSJSNmGwhXSy/K/v4zfIreNR6XQnBH/zB\nH/DFL36RD3/4w/zIj/wIH/zgBwEYjUbs7+/zu7/7u3zyk5/8tlzoW+tNXEUlAjtauN0+S4mjiLGr\nmSuDw7N0mr4yxL0e/u2PY6sSysD/N4FCExGMi5BqphWPAB9piFKMl+Dju8BnPf60wTotZICqIb0R\nkWuDc47jsqS2sKsrdk2DR0lr0LQ0wy2SWAJtkozE8c4rkniA2nQ63HSP68SHVtLBoccKrDzr21bo\ng90B2VWdj1KTCzoGfjOQaQ1LId/5TvegrlHThVDk5nMxy1kuxVAoiSQh6TADdX2/94H3qLOp/KfW\nMof3XWWPJALGCNDOBmfMk3PxdFfgdrbuE04S9kUh83bvharYz/BP3RSQ3tlUgH+NyBCzM5Z90qHr\nw31RRSViPXUDKPGVf/z6g7EY3YoMxH38cgleWvD6+ZfkOrYkyfBpil/k4n+QF8LqGFxk2vi9bWFu\n7EzWfhxxBHPhw+uFaNTT7+G0wU2GuCdvPfy6lMJd3oeDI1QvlWTNOlgUqK2xeG8cnuKeuI6/tC0e\nC70E1XphHXgvSWK3jBF0eyOASlXN6KyMVdWAXYREUAuOo8MKgLyPNFvvjbaFpZM9ZoSSbBJwqhGn\nzg4a4z0UoVq9V04bWDQth4GCuZ8ljG9cIfrqy+LSuLPFc9EB09kUrTTb0YSz6hCjI06qQ+LlXbb6\nt5i3z9Pagkm8zyAekW0/w97evyeJJFnr3/oxyv6IsjxA6ZTJ5JnV33e+xeFIRo8Rn05ptEN5hS1b\nlmVC0/csreefzg+4mg3ZzfqUeU7tLEmq2VcJGkmAtGrlviWxPDfdc6oUOs/lM6tr/KgvugIujBCr\nGt220slpWvTBCe76JdqtEcn/9VfSxckSUdo8OKYdDwWwGmlUkgirBlZJv7u8S/W//U9kf/X/yghC\nGUk66xYzXeBuXob0IayE79B6XQnBn//5n/OJT3ziPvDgcDjk13/91/mVX/mVN/Ti3lrfodW2a6rT\nygEsQsDsljiOsBUsW8tWbFCZEaR/bFlVdY2DWEM/zOnnldDMFKLcZhp8PMQ3kciKtjU4iy2sBAMF\nrpQiadG03FmUOKUwLNBqSVuW9M4XZCrDo0FnMJSZoaoTzHAPrZN1ld8xDboYXtXARuvWGPm3tUIh\njBW4Rg72WHjsK9+HwEW+NzivWsEbpivy/+Hf0T0o8rJGzXPpHLQe5gV+f1s6B+ORXFNdo05nMv+f\n5xd0z/WrByHggjcaOxmi6wYGmdD9tJIKsqnXs89FIfRCrcUs6N6EoCjFI6IT5MmLlc67MAXuaXVv\neqMt8pUypu9lIh7VdQW8EvbHZENZTmtcvxda7GK3zNm5aBo0tbTfOxvsZSHuiOMBlBXettJSbwQ8\nSocRqBtJyB5Ax1XLXMSQtBLBIOdxWyPcrWtSBeYiKOTHw/sTl+2x8NMXS9nHRREUBhv8cLi+H2mK\nv7wrSotGr/fMvdej1Kr7Rqdz4YRBcwFEWVRAGkCrIQmN9HrCUdWoLJN9vdEpUUqjurfgvQBAwx72\nrYVhj6YQPK7SntfairO6pXSO15YVP7I/we98H1Vd8+X6Ni/OXmMn6bGVJHwt/yp78TYARhtKanYG\n16VzsHiFfnaJ4eAG1DnRhkCYUprdSz8s1EcCCLTbCioiMilDtcuhN5zrjH11hSf9Lv/sYxq28B5G\nXvPCcs67t3Z5bDDAeY++kJjfM5ZKEwHyLnNJho2G3W3xMAnPk0eYMD7SaL/xu22QBDdGmCHd3okQ\nDIJSqJduY59+XOyuX3otiIRlIj8MmNOpYE2CLHn8/MuYo1PBdzz/Es273467Oce+7dbDC4w3cb2u\nhODk5IQf+IEfeOD39vf3WSwWb8hFvbW+w6vjQIMECGvFfCiNBWSjBBfWtCU+alE6W+uqQ7BCDYeb\nRqhy3kugaRtUXaO0OPXZ/hAVGwwWbxXOOqBqRZj1AAAgAElEQVSVimmQUFQWhWPeNjS2pa9LRoM+\nqq7FpyFSoHoMpjUkffERGPdRVkPe6fVHEoh7ZhVkwUkHoBNw8YHHnRhhK3hCJeXxKhahJ9RKX2AV\n5EH+3bELvL9fUCYy0hXxsbAF4lh0B85m8utKo/oZvnHy98ajtYBUsel9oPFFQNg7J9W6EkCeSiJ4\n6qpo+6NW0sR+kYsgjickK0qSoV7GOjvaWF0QuzeZQX7f9/sol+OLWpIR74RL7RyqrlY/p5ZiriRI\n7A4Bv0EFW+QrXwk/Gq6VImeRVPZFiTo5DftKBZGiGJcXmOlcgnA/g9lSFAitk4Rjewx5iR/0xAo8\njD3EOlpohK5pUMfn2Mu7+Meuierc0QmqFqc7f3giSoT3SUSL+qaKI4hH+JuhszUciLy1knGH7w8u\nJj6PWt2IY76Uz94QaKoq6CgoUGHmXbeBESJaDtL56LAxseyfbh9vSg9aF5I8FcYXVpp1JcyahsJa\n7pQlZBKkWzx3y4Ybg4yX2nNa67DeclznZCZmYEa0viVSEdY7Lk2+j7TNqUyfGMOofwNjUqytcM52\nzY+Nt7z+gvUtX5l/mcqV7GeXaaopzf67uXlg0dbTH+7w7x57O186P2IUJWynPfTG7+tHBdEOz5FL\nMcKgjy5K3HwJ2xOctZKE3rq+6rb4l0TUC+eEIuo96uAY+8R1zMkpzJfi33FdxLJUUWG+8iJu0JOg\nfg/l0A+y4DsRvD7aAAR1Qj3U0zl+d4I6PJWx23d4va6E4Pr163zpS1/i5s2b933vX/7lX7hy5coD\nfuut9T23+hk+L6GuUAOhbSnvMVpjjMY6T9MsyZTFe0dTV8RqjGsrbCv+53GUotpwCEWtVGZGowqZ\n4bsGnIklaVg2+GGEqh0q0rQqQQ9SSMHTUDnPfpZyVnusdVSN4/pkl7gxDPQEqhIfRfg0VLtxD4y7\nmKR0S+tQtW7M0buqvu0kZNU6VnoErp1lwWq5lkM63Wi7dspw3Wt1yVTXTYBQYTRQqdXX/Wgg88Uk\nwjuPv7Il88TNqt0Y8GtgUmfFS1lLohDGBL4N+gibiYgRnQHmCznkrJfuqGctRHTvSlPcoC8Hqdbi\nDLe5Bj0B2nWKhCH4i/BKI9eiAw/80g5uOkcVtegqrASenBjfdJ4LRbnuVEQbio1pJgG99fhBLEDC\nlSytJJwK0cagrNbYC61Rh6eSKKDgfIrf2xFDndfuyjXevAKTsdyfwBpQi4UkV96j5wvRG7hn//jI\nSHCxwv13WSJ7YWdrnSx+IxbFZcXKgjsS5dEO1OrnOUo5sayOolVStGoLKLWmO9p2jSMYpCsJ3fUF\ny++6KuzpGFSspPPWtixbi1aiSJq3LYPY0I8EoHtcHvD/sfcmsbZl6V3nb621u9Pec7vXR5MRmel0\nZgJViRGIclGlQgwoiQFKCSjLQp4h2ZYQMwQzGjFBSGBggidGYsLIUk1QqYwKVJJLriyXbIybzIzM\n6F57m3NPu9u1vhp8a59z7osXEekSdobJ+Cbx4r17z9lnn7XX+pp/87x6wiCZcpydcN3MaYPnq+Ov\n8N76t7muH3Oc3+GN4x/X9zqB7eIdNovvEnxDPrhLciAv3HZbum5LkoyZl++T2JzH7RU3rZpD3bRX\n3C2+zOz8y4STQNk0hHzIN47vgc3xEkhtwiiJXiOrrT6LcSzzMjbGVHHs6cC0jeJhmlY9CdYb5M7Z\n7XuF0Uq/rqPM+EhHMZ1HspTmT/w4iCdMJyRPL5WBEwXQ3DvvE06PkZMpdqHqiuHeGf7t1zHPr7DX\ni53iJdsqPoQgRsh+7T+Bge6Lb9D8D3/qh9op+H0lBH/hL/wF/t7f+3s8efKEP/tn/ywA3/72t/mP\n//E/8gu/8Av89E//9B/IRX4ef8hhjM5le3nUELTtvtkyTRJ8mtAmBmu0CglBqM2a4DqsKHagaTfk\nbhQPVKNc/DTRaUDZIAvBePUdCK1gt4HOWcoQ6IIhMYrrGuQOszYk1nJeDHHBMstaXJaRndxHyhYI\nepD2GzLon3tdd+GW58JuQ/Wxeu2lgV2cDfdt2bqNALFUL6YfO4hEpch8/3q9j0FvIZ3GVnAe27yd\nV0SysVDXimyfTVXQZL3VCvaQldC3ww0ErwehDIqDqlXwd8+wEbDkz49fvZE0LYzHyHKNISDHR8j9\ns0/edCajnfjKK2NTKgsjz2CQ6wZa5EiR7iWHz44xjy/VXjlJIoaiVPZC7Lzs4mDsILMJchNn6l98\nXQ/r9UYToM7r/RwN9D5OR4pxAP35fq1tKwVYxvcyzqlIUpQdtmmmqP+mVQfLiVb4ZrlS7MfRgSri\nRr0WJE303hc5crPCBK9J7mh4WyL3B9nMq1pHOIiqhO4wAgGC2VPf0tjZkvj3hx2WPgkdDJBDt8vD\naFWzQEqQ1mCc0S7cJFcxzGXAGkPtPUcD8AhneUbmLG14Tt0sSU3H0+0HPBq8yb3JXb4yecCHm2+T\n2pQ7gwcECVxWTzkrFBA3PHqbbPgAkY4kHfPh5nvUoWLYBbar7xAkcF1+yPTox8DA8+YFxVB/1xmH\ni1Lmz5uWed1yJsI76yVfms64aWqcMZzYBPv4Ssd6CHJ9oxbtxioTZAcw1bVlNqWOyqoGNlvk4V3s\nB8/I3n+CTMaEuyf4R/dwy60mZKOhul2CPu91jX12qQnyeIgZ5Ph7pyTvPdFJ4WiI+8572PefYFyi\n44JBgVmu8V95C//1L+GjYJkYg8wmmiAYcFcLTb7TlOR33sE/uqudhh9S/L4Sgp//+Z/n8vKSf/Ev\n/gX//J//c0SEn/u5n8M5xze/+U1+9md/9g/qOj+PH0ZkqWbUqw2mbTCJQzYlSZETnCDOEIKnbVcY\nN6CTBptlpCFTyuFipQ/lUURNdwHSBLlZQdkqOKrrMOMpQktVoSIg1iGZ7oG5szwc5czrFoshczmz\nTEcQTC1yZPTQ6w19DMrZ7vn9Epf4yxu1tfp7If5O//OAIUeaWgesOAXrrTb7xAG4daD1SULb6pgi\ndkN2FqZJovPIbQ1VRILnOWI3MB1phXMYVY25WalV8maDHM/0ID3sHOSZquadnwJGRZZeFUkC1GqJ\n3V/r/5/oW57bSnEKRY5ZrREJ2lEAbUsXOQTBXVwp++CDLXIcXQGbVsVeBrmyGcYjbc06tzcy2pT6\nOqIqgCp8FA/MF1eq/WAtIWoX8OCuJlqjAWFcqF6C1cTCRH8DGQ81KblZxYo7rumyRvBqfFXkyqYo\nK03Coo2x3ZZRY6BV8GsEUEpVKSDtxbXaP3+ScujLsdmws3euKsjGsdviFHfTM1qaRrElbQShVg0U\n7Edcxug6+ziXw7pRi20P1gZ8VnDVOboVJDmMJo71essFFcEEnAQ2bcW9wYR1W7LtWpZtSec9627N\nHz9+E2sMPnS0oeVJdUEnHsxglxAAJKmuxf/z2f/Ke+vvkLqMabXlC6MvEqTlqnzBh6EmzY4ZOIMP\nnip4nlYLvH9EJxm/d7OisAmJGH714oKb2vP2ZMQJKeZ7FfYaJAU5E5X0jvdfqgb54uv650GBma/U\nhOhOlB5uVePBbuNYxjnsfKWJp4t4p7qJgNRU73WS7EXN6hZzs8Y/OKeZTUneeR/z5IWutRAwpfpZ\nhEf3FbgaAlJkO2VCyVLah39Sb5QI+S//CrbSUZvpv/cfYvy+EoI0Tfn7f//v83M/93P82q/9GtZa\njo6O+PrXv87p6Q9//vF5/AGEsxjRaoptiRmDDAsSN6YzNRIq0mxCB9RhhQsBbz2jdYNtDCQgLyrV\nBN9sdcN3Du7kyDqBEEGJmVPhngAmN1HWUy+hSBx3rKHxLdZvaeclzmS4RAV96KVxvddKUoy20OHj\nN8sqgudAD42X2u3GJRCaPYguTbRj0CO0X5bTTZK9s18Q3cyLYp+I1K1uEF1QTEbfDm/b28I71wvM\nxbVaE/fiSWWNGQ91jDMcKDjKezX+OT5SadanF4BR3/R+cxQhOMEOCp33h6Aty1jdy/FHtQheGfG+\nYiMw0Km6nhQZIc/0gFys1eUu8vQh4lBGA7hZKxL/+RWkTqlXRgipw3i1m6VukLbFVO1+lLCtbnPs\ne4OqzmPiKEMu58ggUxnmNNNxxiKOZKpK6Z1Rz0EAMx4gL7ZKCS0yzGCo9yN6M8jRRD/T0UQNig7x\nG52HQaKjivlCgZJFpiOPw/FCL3QEyoLox0uxE6KjnihMRBwr5Xmko8YDwYiyczLR++kFEoNcXGOM\nUdZCL24VImW27+RxAFg0+gzSGDYxZ3a9KKJ1TKeOqkq4bmoS4+gQrpuG3ORc1S9UMTBNKOyE37q5\nZJRk5O6E95f/mdqradlVW7PuSsbJPim9Lp/ydPsu1hqa0DBv5pznS1JTsPIbLCe04kmYcpa+xW9c\nvMMkeYtAwreun9JJRuM9F6s5Xz06xRnDk7LitHGKl0li1/3xSufwVrs1drEkXN3o7ba6rmgaFfJK\nUu1YNR0iYeeIKNZilmtMDw69Wd0ab5GnhAd3MM+vNDEcFtj5gpBn+NGQxFlM5zVRXm8JaYp9fkF4\ndHc3opSe7fKSL0X333wF+x/+b0xZ4R/dw//YFz79efwDjB84IfjVX/1V/tW/+ld861vfoo0tqvF4\nzE/+5E9ydnb2eULwX2u0atXqrub659UWSRPMnVNSN8HYlBAaQqgpkilBAqkrSKSDURQ1ulkgT68x\nbRPtfBPVCBgZpHCQ63wzPTHUm5ZGOlywuCTO+gFnLaaroVGnui40OEn1kB66HTjQxAPcGLQt/HHO\nwYfneQQR3RoH9A2AENgJFA0PRgRdUKdC4njFxBlvnxiIuQ0utEaBbq3XpCFN2Mki95fx4ho7X2Ie\nP8cYoyYn4yEMjqP+QaIbF6KJWqegQbvauxPa+ZIwGiIirNorei/74WhGdrNVLIFzKuizLX+wytb7\nfWJU5MimxAyc3qIeDDibEGzk29+sCHVMBnwEBW4rpPWYYa7SvhH0hzVQqW+AsQbKrUo3J4kmLXmq\nWgqd1/eajjCrDVI3GBqd59dZBDsGxPU6BJqQSZHv7/F0hNx4ZDrFjDz0SUWW6n21UQegx1akCTK/\n0etxVr+LNFUFu4hPMSI7z4bd9xhZE6AAQUmTXedDLEiSYtK4AI29PXLo2Q1d9OHocS0SoGrV+yFN\n9T5vK/35PNWu2HK9S6gkjpBEBJNDSFJEnOYfB2fScZaz6VoWrSWIkEbPjFn2iHGzpfQNo3TGiyow\no8VZx6ZLmKVv0aZbimSCwbLx21sJQScthRvwrL7iWbvFGstRW/IgH1EcfR1crh2R/A2elIbUnlIG\neGe9oJbAaZpy0waa0HFvMFAwp+mnQjoaMJcL7WLOppjFmlDV2hVoWug67NVCWTvTMSy3qmb55Td3\n9yX54ClSN/g3H+goqYkYmNFgv96zVL8v2MmDs92q+uB4BAQkeIJLML7SpHIygkGh7pq7RXEb37B7\ntL7wiPLBHVUonXy6E+UfdPxACcEv/uIv8o//8T/m7bff5q//9b/O/fv36bqO9957j1/5lV/hr/7V\nv8rf+Tt/h5/6qZ/6g77ez+MPPQy27SDNqGgp8xqqSwpzTIojSQq6LmCCtidTp5us6cFhgIjOL423\nO3qeGIPkyZ5iJZANBLEtqRiSJBCocPSyt7G1H0TR89bECcFB694apBU9WERercjWRbpaj9FqW93Q\n+025rKJDIaqrH2VVOfg8OqJo6eWW2ZZ6WLTdvr3o7G3qWpbqtR9PkLJSrfs8u1UBm9UaFkvctkS2\nNeb4CD8ewmSoB9ug0Gq2juyJHWbipU1EhO6Dd8kuLxBr6e6d0pykZP2t6v0G0k8xydotAYsaUBj1\nF0gdYuKI5XCuHWfxDAq14L5ZKqXy0V2lzzkHSxXVCdOxHu5PL3fGRsEY5XNXDaZqCOPR3iCodUiU\nqVYJZJXEls5jBhaqEtKRJiDDQkFhq3VM2qIoUnRm5PQYWaz04IiVpaRp7Nak+2Sx63RGX8cEse8W\npAlycqzUQxGt/g4rv0OkuQjUSrfFRQ1Ga/WQ6qmErwIhpkl0PTRIBB7Stkox7CmuRD8DgLrFLuJY\nKwS4XiB3Tne4FAtMBJqtLn9nYZJB4hz3iiG1F9Ztx3Ga68+mCV+evM0H5Q2dCImpmaT6jBhjmOVn\nLP0cg8VZy1k2u3X5Z4OHvDn6Eu9Wc3Jb8Nrky2TFA6aj17hbz7lpVWvhOLnDdS0c50MuqhW1BM7z\nAd6nzFI4d0d0voAU3hgOYWSRxmNCQpgNMLMEebzGdLkmnp2oxDeyH8sMCl2TUenTXC8ws4mKCnWd\n4l2qOv4etwXDjNGkom5UJ+Txc1zfQdhstDC4c04YrKNktiDDAjk+0m7dDxJ5lFf+DMSnJgS/8Ru/\nwT/5J/+Ev/23/zY/8zM/85F//7t/9+/yz/7ZP+Mf/sN/yNe+9rWPpSV+Hn9EY6DtLnGWMnNq8pJl\nbLs1R+kMvCcxOeN8QB1qNR4xCebeOTJfQeuRszNtVZsWxkPEJooqLzQj9t7TpdrmN0Zw7mAzjWGM\nwYpFOqUuOkkwSbgNxIvjgR5pvhsXeK/2p2Wtm/xkBKpxqAI3eQbLlYLJ4gw6vulHD/YDdL2KKXnd\neHpVx6pSKtihGRFEzIDTfz8/+SjPXQQpCsyq1APRWSU+TMZwqpxmmgYzv8HMVRUt3D2Do4lysdcb\nwKgk8WqDvVnTGYOpGpJ3PkC6gJy/BpdzRdNniYIMy/KjyPSXI020Qo3V/s4I5uDaqRt2VM2q1lt0\nMoOyVL73sFAw6fFU2+vTkbbzxyNNTvqDbBCr+q7T76HtNN0ZFeBTZKNaAWbbgO8wuYPrG8zRREGL\n/Xq4utF7Yi0sN9q+PZRBHg504+/Lzox9chO/s36kZAJAgJuVih65BJOLJnWC4jd6pclBrnoJUeRH\n0uwlBkuM7OMPAD3rHaqyI9heabModIzRWx1PRnvVzZ5R038e4bbHAfrVnY8OSAtooj1KU746m7Fu\nW2rvSSz82tULVl3DSZbzJ47PeJ5tuWoqnFExsa8evc6iPWbrK+5mpzjz8ns5vnb633PDgCo0WJOo\n8JBN+dPHX2fRrchNhjMJ/8fl+xynA0Y242ExpvQZ728XXF03jC6+w9D8Nu4rf47xSXy+H8Yy4Mpj\nnl5jmo5wMkMkYC9vMIuldteKKCgmogZbfbTtPglLEkzbKbvg+x9in19hjkawnih+xSvDgOlYMRne\nI2J0XpEkUG6RO6eYPMUuVto1qmq6LLmdbMcEVLL0B6ek/hDiUxOCf/Nv/g1/8S/+xVcmA6Cyln/r\nb/0tHj9+zC/+4i/yC7/wC/+lr/Hz+GFGmqrDlwNZd5i8IJydaCu65+ZLwBhP0Q8nMZBZrca8aBbu\nLHLjUc78AOMyMAEvUDmrJkZYyuqG3AnGONLs9oOTdY6QFJANsDa5XSWXUXEsRP3wQVT1W24wy6W2\n14mz4N6CdLHG5Km2g9NUD7V0v3lL39IX0deUoFV9lil1qBfmcfE6tpUebtJTEG1MFnRT2jkDrrd7\nbnwf1ioffzpEfIt0CoAy21Kvd5Bjnl5i6zh7Xm9hvNH3Pz7ab3jWwmJFZgtCuSFUFSZxZE2is9Gm\nRq2HI0Cy+wFBTB93gK02mKub6NiXaCVl1K0O0AO+UfEeVXTL9612CZo4DQcx+YsiWGWjtEbnEBvH\nBXWrFX1dYwYFJkuQFgiCFKm+f5HtsB2mqvabfv/dZHv8h1mtdzRNQb8y0wMc+9lyqqOE2ziSRjsQ\nN50KVwXBvNBRjBRRxXA81K5B/96RFmpiZ4tPqgarBqo4oskz6ARxseuVOKWKtt1+HCXaMWM2jmMU\n9PudDD9WFVKnNJ6rpkHEMEosqTU8rWpEhO+vF3gCzhieVRWz1ZovHh0xdClN8JxmBc5YTrIjTjj6\n2I9ijeUbs6/z/y5+l8rX3M1PeTRQaftZuq+e/9zZ63ywXTJ0Cef5mF+7mvPWYEp4/39n3qQUzQ0f\nbH6dWfI/8VqxxK3Xuv5BcTnbLTLMsWKQ02NkkEMI+Lce7bt2xmCubrQ7Mxpopy12pmQ8xCzWuOeX\nCkq9XuoI4tEDcAb74koPch90rboEyhLJC2Q4UL8K3+uH6CjQLtf4viBYbbBr9TwwTUuwdu9r8RmL\nT00IvvWtb/EP/sE/+NQX+mt/7a/xN//m3/wvclGfx2cgDl3cQoDjY+w0pQ0q6jPgQNjGmNhCjw9A\nX6l0nc7MRXSePMxVsKjr6X3QdoKN3uxtXWFNgjVBxww+7FdoG+eCYqADkihE02oWb8paH7zFAo5n\nsBL8usT0tD9jdLMdFtBU2JsNYgSTWuUkHx3pJpsk2joOsleGW651LpzE2ft0DLOpVr+9Z71VOqFJ\nU82RoludMXrtZr7UJMMYneMv1trCPEwKTqb4R/f0wIxubSZJ4GIORYr98ClcLHB1hRhDMEDPrz9s\nO4+HhFHBYJHpvHV2hAyH2q4fqPmSqWtClaoi4ifFZqvgPmP0kDnwIzBXc63ItiXMF/hH99TcajrS\nlrwxqq9wfqIdgc0Gc7WIG2OjMsRpol2CxCndbrNVsFia7ARcZL7EbbbItsIMck3a2lqTuDzTn68b\nXWdx8iNppjx0E9fy4SG8XGPW0TZ6kO+NjHp6al/JDwukiriPXujHWu3g5Al0YDaxB59n6mKYRGxF\n/330B/awUJZCv5arBnoDrL493SpGwETlQlksIcsVXDiI4yVrb38WY/TASxLkwR3toKTpzk3y42bS\nN22LBEsIsAqBOrS46Ii59Z1Oh5zDGkMr2no/yYtbr/G8WvLu5gqAN4enijn1NfeK2a44GCVDfvL0\nG5+4xAqX8KWJztu9CIk1XC+WPO1ytm7GXQkkJVy+8DyqV3BfWUb2xVWU6TbY51dq/nUcE5RnF9j3\nnirCPwJaxVlkMkSOJviHdzHbWoWDEof97vvY+VoZKuMhZlPpKNAaxZBYi2k6HXWOCyRPkAd3ofP4\npoXjKXa1VqYAaMJd1jAsduZI/fpR87PPZnxqQnBxccGbb775qS/02muvMZ/P/0tc0+fxw471VjfT\nzu850mnCOJkQxINx2CSN1aU5mGlGoFzX8/UPpIE7D8NUD9FNC3kCtcfmCR7BYPDiSYzB2r51e3BN\nPpoKSaN/vlmpbn7Xwc0CMxxGEZFOZ77DAaYqdSPPc2jXqoWAiZKzHjPQSl/GY7VG3enF3+Z724ur\nHe5AphOdSWYpjEa3fo7RUA+PstZDKtfNylRxXl81uLJSJbvcwnKtZkOH8egefljg3nkfjNPb9/33\nMS7a6i4XgIXxANt5/KZUM6nDcA558xHdnTPsxTXcLDHvfKBVTpFpy75ukSyH4SdgCEKIbm5RZ3+1\nVdS895ibFfaD50BAUDtss96quluSqIvbptzrK5QVdrWCrY4W1HAmUXe30QB6hHeW3fab6DpNihKL\nmQx1LLA2ykgxHs5GcHWjLXYBM4iW1HdOCJc3KtyTR+BjWem1L1YKHE1TWLUQBlHzwUIbcRX9+x9N\nNBGRKBSUpdpt6BeoMXH1asihLF/XRdGmVgGu44GOZ8oGE8diUlYqgAMHCTVIrcBUY1Cb6VWr2hgu\n1a7Kqzo2idN2dNftE3TnXtkpCN5QxylH0wnPwwaXQmIM9wcjnmxXdNYysgl3BiNF/NclqbXcKRS0\n+t31BWtfsWwrfmv5mDeGR2Qu5f3ykj99/EVyl370Gj9+qbG+1Hv6IB/ynXXDUTKGOmVuT/g6lqP3\na5IbCytBXkuUxjuymiRNRmoZnDp1skQ00b+81vVXVbiqIZQVYVMid071OQDtHIyHSObU7vrymnB0\nhN1sCNYqwDVI3GuWyN0zdbcsKy1aAJzFv/kQ9+wSSRz+C4/2GKpBvhP6UiXL4tU34TMQn5oQtG1L\n/rJL2SvCOVW3+jz+iEcIsd3qlK+9bbVaW2sr1GbpvkUeW25APKz79FjibNNEp0DZ/90wRdAWW0ga\nxAYS8XiTkaUpSQQCBRFSc7A8D2bxBK8PmHP6kG4b1TRI++rOKjBsOkSSBBNaVSlLUjgaY7/7Pkb0\nUPNFqhXsx63xbaU0t+hTIIvVzh71VvR65+UNxlhNpDqv99EALkFyUdEdLxgZqozxy2EMnB4Tlhvs\ndgvzBabtsE2nM+/xmNC2MJtikgR5hVHN7nVGA+Ta4sooohQCXC+Rs5nSFftqKs5Zd99nbMeq/v4r\nrnG10Y3QWcUFZKl+vcNCQaI9k6HXV/Ae8+QF9nKh62ZTasu0riHLsHW7J31kqdL7utg2L3JIquhX\nEel00ykyLsA41SoYFjqKAKTT2T3WwtlMVRqrGnymc/7EapvZHYD5nNsDUHd6Fmb/b71pTR+pQ2o1\nEwpJgskyQue1ij80Wqob1ZRoOwUilrV2iHZoVG6zXdIUaTp99JxA5jC0+jPSgbfxeXJAe7u71Mcu\nOTc75s1ulz/4XIUkbE2LD0JDy2lasKSiE+E4dfzPD17noi5ZtQ3zZst3VyXDJCWIsPEtrw8nLNuS\nZ/UqUgIXTJIMa+fM2wVrf8H/ePYTDN0+4fyd1RPeWV9gsfy5sy8xTvcH49X31c5ERPj+xjDLh4y/\n8A0WT79H3Z1wyls8XDWYzmCeNISxpX39Lslqq89WxAzInVPs1Y2uHxQjJMNij6QUUcDzJgKB+yhy\n/FuvYZ9cEMwIXn+gt6xpkSTB3iz1fh9PdU3kGWa13a+bTYUcjeli0o1L9hTlPolsWsLD84/aon+G\n4lMTAtO3OD+PH40whl3VL6IguMGRIus3JTuveCAYB40hBIG2xOWxosXFOXqcUTurh3Vv/pNbJLRg\nHS6zBGtJjSdJC3xIkNCRmlT1CvqIVqbK9XfaEl6sdURQ1+qQNxkSMkXBMx0pzz5JlJo332I2JbLe\n6Ix1PFZ2gTG3N4aP3hBtJ7fRNnmQ72fv20q1BDJtOROZA72mgQlaDUicHUJ06kvS/f19VQSdAYtB\n5Z+TUufDIRCOJ5qYFDnh/EQBigBXc7m5FF8AACAASURBVOwHz7TT8sb93WFvur2FdY+joPN7QN22\nxN6sADS58GHf9qwbpfCVKpwikRFifMB+8AzKEvfsijDMCPfvqJjLq3QffMC0Xu2H2y52C7ZqwpRn\ntBH9vYvDCkoEybaY6RhpOr3/k4He7943IqiAFoCk+e73uJzr5287CCvdpIMgea7WxZHWeDvnsZ9O\n/UpVUliiY6K86uejHTFNo+OB1sV1ZhFnVNsD9iwB0ATCeySImjh1Xl/DGE1ggrCz5w7yklDWQdzy\notD7rxiYCDwcZIwzh/OG67ZhGTwez71RQRVaBs5QJAmbbUswwlVT8mG55ouTGdYY1l2r4MKN5+pG\nLaOHg4JFu6IzNyAWS8fvrn6Pr06+zrxRV8JvXb/HvKlUprgp+V9e/1NKr/XQxhrknabjogxcG2Hs\nMs4f/DhvS84b3+nIg8BxDibT0dCPP8I/foZ97wm2rjQxHQ8J4xF2scLULSFLVDUwCDy7VLfKIt9L\nP4N2tS6uMGmKf+M+pqcMgz77k1F0aI0Fx66TE++x9zoCGw80CQ8odTWOUpNf/23stkSMwXYt3Wj4\n8fooP+T41IRARPhLf+kvfWpS8Hl34L+C6KtgY9VYpoyo7Tqq7xmnLoZd2BUp0glhU4NYxLckuVPr\nXIgPndvr74tEsR80Ycj033rQPoCzCdhXLMuu0809iW23PFWEbxBMmqo0aQjI/TsKvjrfc4DN/Ebn\ngwYdJwQdP8hw+FGt/j5WG5W/RRQIVhRAQE5ii38bFQfLGrPYaLtyOlaNhnjCiI2JUJroQdzLGnu/\n77C8HNtS0cp9vpAlMD2DbaVmLPfO9Jp7FsV8iVmuSX7nu4ptyFLcd9/Hf+OrOjow8bN0HWZd0v34\nW5Cm2OWaMBnFKieOBMomUu1iK7Xz2krtq94ewFk1quFe1pAYTF5gshT7+IVaHL8cLh6ywwESPG65\nIpwf7alzdaPXkCW374mPgMyTKaGNbI7EqfZEQP88zLSl75yOg3rFxq7TxMZZxZzUHUxjEjEeEqpK\nxyVpou31ptOEYZTtN324lRyE4AlBQZ2Jy17Zit9FT1ncVkgIGOlR7Ray7KNyw113oL1vFEg6Ge2B\njN5HGmKsdItcrzvLblMce4ZNr8CZJND4HY6m8YF2qxiI2gQCwklWMDdrvrO8YZonJMbwrFrRBPU5\nyIzjpobveE/hEmZ5w//27u/x/tWWRadjhRMzJi0qhBWzrGCUZNw0G/6vq+8hGK6aJS/qNYXTYmLR\nlWy7hlGaq8xHCq0X5l1gPHYcpTnzNvBak3H3TkL3muC+C6kIMhJkFq2NI25HRgNs1yEvrpD7dwhe\nMGYNd46RptFnucgwuVb7/vC8Shxy/w69XbmsNjrqcVY7adF223RaFMhkBNsS9/gZrCvCdIiczvR3\n4nMixqgy53uPtbuQphhnVcNjU+n1fwbjUxOCv/yX//IfxnV8Hj/M6BXy2lZnmlmum+3ZiaLc625P\noUnTqKNuVWK9VmMYMRYjic5TPwbMFLwBm0OhZ7739W7jNeYlnfYoEqIHarp3CqtbnaEWhfKCw3IH\nUCRxe+DgQZjVWnXqAdPUhGgtbOqacPyKA6ztsMtVPJxUJEdmujHs5Y1FaYC91Kj3eu+GAwW4wR78\n1ScCiYsJVk9Ji8h/g27+vWLacq0b+nhAuH9Hv5fpWDsehxXhtlQg08UVdlMhTUc4P1aEv49CS1lG\nuHemgLdxeVubodd22EnhqnCOXa4gqJLg7nu8WWJulpDnuib6CranYcK+6n05nCO8fhf79FIpYGcn\ne2+IOlIODYq/6BOC3QEYQa2JgyZgfDQzyrN9lTce6ozeHVT3zilo1OrPig9R88IofmA8Yic3HSt+\n0shciVbEXdTLSJIEkUAbSkWy+0DnPUn2CXRN68B4xZmMBnsPhz4BeLlC7Ltnh99N/By9pDOjgXYM\nrNnfp15Qq39m+sgPtBGki7c0UPugiapASD2jTN8zDSN86LgTKaibtkVEDY8wDic5raiF7/NSaMot\nrXEMXEFhHHfMmDw/5XG95rpu+XB7SW5HpPaCN4ennGZT3llf4a2ukbvFEWmfiBo4ewNunkMWYDID\nm1jG3nDXJzrJepSxST1pVmPGDpmqCJcmp612BfNcActFDtOBmj11HfZFpGoW2W6dmKbdU1T76O//\nK7w85HSmXahIQ3a/+z0dmw0yXNXSbco9WybRUaaZL7WjY52ODMZqFCejT6H5/hDjUxOCf/SP/tEf\nxnV8Hj/MWG+1pm0VxR82mz3tKc7sFcgUlQOdw8T9TnqsgASt0BJLbyqih7RuSqFDUdlG96cAUYnw\nFVE3+poYrdySROfuy41iHBYrZJgr2Ge+BKPjVTdfaTXkJyrK0ld6dauHXggKRHrtofLF4yH9kTh0\nLwS9jkGuFcmm3GkzmE2plXyvVRDiHH44uPVaZrWhV0OU8VC19VEwU0/Pk/lSq4z5MloGA5cLZRG8\nypUQdm1pk6WEUaHgxbIkPLi3ny/3CnugQlBR3z/EWagMcsz7T3UcESvPEJ38GBbaCVmtNWHsVMJY\nTo6QixaORkjdEkYDCII/6MoAccTT6j0ZDQiv39fkYFuSfPAMgifcPT1AzR9Ubb17I0Rkv87sQceY\n4rt9QmDMR79Ha2E2VdR9kmnC1WNORPT1+w0+jWwSL7ojitAEiYmVp5UOawMWpZEqcaHbm129KhIX\ntQQMiN2rXH5cpClS1ppMC4pH6KPHd5iIqejdDftECT66ZvsuFCiAt2zoegGCVNkbw8ZShY4y0892\nFL8HEeFZVXE3H1P7wKZpmeSQ2YQ6tKyblmGRkK3VX+TYFEyGQ278lkfFG/zu6kNq73hYHHPdbnle\nL3lQHPG16UMWbc39YsxXpnfJDjqBSQ7Hr8Fri44na8+RSfnSaUa6hq7U79g9GCJnA3BoIm0tTMbI\npoTGK0antxA2FqWxKp01HE1wF9cYDOEkg6cXqulwevTpOhygCfXVXA/0k6M9mBCgLjFro6PDae9L\noc870zH+/jn2xTVhOsJ/+c1b44rPWnx2r+zz+MOJroOr+Z6vmziIKl+qOpfDKLaoET3gE0X22gLc\nxBJqnZfbxGIHGa/qDnA41jzoyH5qRByDmS+0Ir+8UhpQ53GbvqWf4ExQ5O9woO9zcYX1sXqdjAjO\nKQ/cuf1h+XEqcXmmYMR4eMhURW9s5KTLeqMCNacKWiNJlVHxKmDiaqPAsl4OeVMhD+8o9W2+0Db1\nZLjXLsgzpIsKeHn6yWZEo6F+niDInXOCCfijKby1tyeXkxlcXKvBS5phB7lmY734TtvB+QlSlthV\nqRiHNFVhlyRR8Z8oskNsgyKCf/M+DAq8MZrA9fd0voz3NtGEqdeTny+0y2QNMhnT/dgXomZEFIuy\nbk/t68We+pl3VWlC16BVdtSs+Mg62apfA1mih2CWfRSNH6t/dcN0ex0GEUjMR3/WK0BPvKejJlH8\nOtYkn76I+/dv2331XtX7TkSj1FR6iuV0rKOEXpmwj/7Zw+i/Saf58uH6NeY2q+fw2qyFUUHiPWUn\nWMAsPKk1rOqWatPSjgx38oLWejZdB+KYtw3TNMdLxcDD06pk0zW0YY0thmzHnryyHI3HvHn3iO9s\nNjyubhDjqEONMYZpWmCAy6bibj7lKB2TWsuDwW1mTOM9/+HFBY+3W5wxZGnBMLnDqoDnW7AbeDAB\nCQaToEnkttQE9t65rteTo924S47GmjTkguQDbJbjnRYZMhtjywqMJVQXyBsPPvmQDkE7Aq3e97Da\n4O+e4t79UCm5IWCmY8xqhU+THfBQiugEenZMd+/so4yiz2B8nhD8KEfXYX7729iyUelOY5C759qC\nlaAtSqea8jsQTZLsudXO4UYJLo8t6vQVh2sflp36rQgf2c9vReT790hpc7NWQ8LVFtOqKYktoy3t\nZKgI7sVSN9vRANoON18qBenZpaolvv06UtWYIkPWG/zpsbIFDuht9nKOiCBHE+T8RFv/zqmHwNX1\n3nQHdmJBVA00a53fvzxTrqo4u9/otQ6H+rlvVtiqUvCSD8hyrckMKCc/siXEmE/eqIxB3noN//xK\n6ZwBuPcSQC9NkPvnyHqDvZzHSjOaHDUtZr7YY+pMbGt7ifbOmXY7Fusom7zWw31b7Stu2GMOnl3u\npKRlfrPXOOjHP/24on9tjCZREvYc+14Dwlrt7FhR7MqwQNZbPQRGw33yAKptcaHtbAoDXasMjld1\nf/r36ZONotAEIzH7768fU8SxSxAhT1IMltA02CRRDMFBBF/vuAPWvZQYJskeHAg6Guk7VqD3tJex\nPkxgylp1DoiAT8POC2Tnonn4HjuGAbGb9/JHd4xNoG2FBMPat6zajrILLFNh6yt+/OiIptvipaEO\ngaqumKUF8/Y5s1zYhBWn+YihS+kY8cfvnmtDI4WzfMDzesFxOmBgHRtf8fboDn/s6AG/Pn+Gi92w\nTddwXZc8rbZYA2+PjnhS1iyaliyuqeum43lVsd2MyK8huYa5geEaeENU3rtpdS2BdlYWS+R6oc6V\nabIztaLICNcrTVJdglmsox26aJGwLT9ZPXBbakLfjwuXG8IX36CbjrFPnut715rI9WBVAI6nhDIK\nmA0+u1TDw/g8IfhRja7DPL3AXS3VdCXXaiNMhro59f7sfTIgotWJ93tqlu053qIbd1QAJL2tcd+G\ngEfpTxkJ2FcU5tGQhDRWdv1hsy2xNypmIwad+4lRkZBY5Zn5Qjf1uoFnl/jTGTZPcd9+Vw8JoHvy\nQhOdmTr8uW2JP7gI++xSD29Anl0Q3niosrlPXyB5cTvZkdiqffwC9+ISQiDcHMillo3eE6/zTHGJ\nHvwie0c767SKqWo9vOJYQM6PkdVGD8Xpx5idlFE0JUtgPFZ/9arGpBZ5fqnsg9EAcznXjWy9Vd+A\n5VYr+KKAuoL7d/VgX6wJvlNWx2SM+KAz1OkYjCGcn+iYRgQzm8KgwD69UAxEUSCnRwqyeu+xHqAR\nxxCC1xl+j4j/2DhAlYagNM+oBClJom3yplWRGJupdGw/OweqhdC1QiKGYSW0iVCWDckgo3j5ffuZ\nfI87eVWXyBiyNKUzBoKQCiCCcwmuiFobPbUSCKHtP0X8/wZrDw723mbbGn12UnPw0zE2GzCJjhgG\n6pJpNpvdtZltFU1zDg76rttjEYzR52ZH8Q2veMggsZYkE0ihq1qCCDXgbH9Yq97GSZGzalrEwBdG\nMza+ZtmVHHUBZywbvyG3ReyWGCrf8eXJOXVosMbiJXAnn/LF8TnWGAZJgo8yy5lN+O3lVVQnhf/U\nXXE3n+oSEB1ZXG8Dv9MKUgbeuLI7KxGZg8gCW2w1oV1tkSzRJOvZC4xYwukMTo90fxgPtag5GgEj\nZFsjdYN1NnYYCk0K+qTs5YgCSOZmqUJjXae+F8+vCPfOCCcz3JMX7HxWilztkOPalbPjT1n7n634\nPCH4UY2qVlW1EFQkpq7iQdHuhVnE7Ku6Xuq2ruNmqtXtThf80DCo6WV+c3wItMErS8VAS0fezw6b\nRme5Xbfj+e/86yMa32xKlbzFQJYQEnBNgNOZ6vNnCTbPlV1grQrRZBn2O+9hb5YK4BkU6lHeO/O1\n7b693G+aBxK+ZrHC/uqv4xZr5PwUUoefjjWZCAEZaNJklkvd5K1TydPlRjsYPR2prHUccDKFxWov\nkHM8ReZLjFG8gQwLZQs0jdLZTmevTgQA1lv1f9+WmLLGT4YwHaulLmCs1XvmPebFNabzmLaNAisO\nW5bIaKhz02jKJMdHSJEhiVOwVZ7dxkHkmeq13yyjjHCDbVpC36a+WuAurnSu2nnckwu6tx7pDL9q\n1Yeg9cpacFa7OCJ6OHZeX4MIuDNWjYpiFW+sQTpNFg1a9avXknaomk7YtmCtI1Qe74U67ZBiQNl5\nPMLo5c7Nq/j7r4gkAgxD7/ZoLSKC3XkGxIM3xLWzO4Bf+u4MOrdvg36+nmrY+xvUrQoVWTQJ2h1O\ncRzTW/hioEj3B/+rou8QvJwUvGS7y8QwNRlXoaKyghWY5RnGGHKXAIbxUOmqwzTl4XDGsClYtBXP\nqgWzLKfsFsAxPsBpNmCaFnxt+oCLZs3Qpmy85zdunpNbx1ky5qrdMM0K7mVjfnN5SQJYDKXveDgs\n+Eo74XeXKxa1J/VjJHMsupoXXc4jsUyBMAcQukFKkpRRtbLDSBuXkVMq8LbcJ0+jge5z3msS/vAO\n/umlYmLGUWSsbV+ZEJibFUYg3D0j+d4HCko8P8F9/7F2IWYT/OmxPleDQvesSnU/jPcqZPRHYFTQ\nx+cJwY9qWAtNg5xMkecXiLGEuydKBaxrbTlm6R7M1MehilysnHaIcGFPW+s8+ApzNSdrW7rzYxUH\n6oFjbauJiLHa7nZODwRrYb7ESqyoFitkNkHqFrspsXWnZiTnx0rrGuQ644/Vh7Qdtllpp6FptVA/\nO1Gd+WGBuZxjrxfa1Fj+P/g3HqpXQ28cs91i338CwwG2rpGnzwlvPsJWDX42vT3THxaqmNhGjXoX\n8Rf9gZClOuO3VhOWvl0NikHYlnGW3GLrepesyM1K55CH0VfOZYVpFFltt6q8F/pRyUDBfZIl+jmb\nOPtfbTAD5fxLcqStVO+R1UYtYiVgjqfqr2Atr3SJ9B4JvQqjaLcjTSIGwMO21kSuqvUaTmf62foW\n+OAWZDCCruLf1C2mrLT7Mxruz9MkQRC1tE0jr7/rEG92m3cTDDIwUCZ0OTyTLRSGCYHMJNzULatI\n8cusZZgkFJ+Ey3g5rMXGRECTgYPfjWwaYzNCu43CQYniC156DVyiYwmRPYjRxFFKlnLr7vT0N2cx\n2zZafOcYhzryJekeDHnw/dwSBuufy8Pk4TApSCz5zPJwOMWWJa0XJknKcZaQ2pSbpsGLMMtSrDG8\nNpwwcikv6gtyc0SeJEzHCZPE8drwmFGi38csGzLLhry7vuGiLgki/PrqivN8xHFWMElycud4Ui5o\nQyA1lq/P7mKM4WuzGV+bzfjtecW7c73mowkYPHdaS3oD5j5AjjzzhMkAm9TIbIK5voFhHjE1MSkq\niv1am45vr787JztpYrrw6jXf30vQ3z+a6vckRu/tYqWjr9mYUEQJ7fVGzdL66K/lj0h8nhD8KEbk\nd8tggLFrwr27Ecnez7pEQVn9xnUYaaIbFOwxBX2rv4lVd9VCUWDfe0Ky3tC4QH69oPzq27ie6tPF\nagn2AKvIGzed31dRg0KZBptK24MjTTbMfBm18DP8g4lK9Iqoycl7TzAI4fwE+/gZ9ve+R3h0D3nt\nPiaPbnTrLaZE9fjznHB6hHtxqb7ofVWI2c17wyT7SAtWzo4JN0uMV9c+4xxi3Y5+J9bsNA8+QjOL\nvHxAD9EDxKUJ4fbmVTeq296D8FofjaV007dNS2jjCOX0WH0W1lulgEYHwVDE5K5t4GqBHE8ilapT\nuuNmq68/GsauzIEmgIjyuF0CYYt4j+Spfk9B4GiqCPlObaTDZPRKN8dXHkxdq+e/sTq6qpudXHDr\nPa1zYCypFZ3a9EnoegujAZlLqAYWnwvPqjUhlHQhYVt33M+nrNuWozzlum7YdJ7zvGCYOE6LlC54\nUptgfwDhtU8SaDNdh5NUk91WMElE+B846u2i7y7AAQVRooeDqCJjEf9+ONCxzKaMDIuI43H2dhu6\nt/uF6KuQ7jESfZfgFR2FqhVuas8oyRnk4KyQxYPx+CWAbOsD17XhnaXH2oZR56l8x5+cfYHsFRLF\nlXRYY5g3FdZY2qCjhifbFXO35e3REVetSnwfvfRsDBLDIA2UrSZQDx9ahlPwz4TV8y3uMoBkjAcZ\n7mgGZxAe3sEsNzpKdA65d/rJgNzEKStgtdbnNSbmu+5RWSnmRkDaFmMdYTrENAp4FedUoyDEdT0Z\naZI8HiBPLzFeKVUy/Ridk89ofJ4Q/ChG26l72miA3DuNKm+xZelsrCqIVb/cPswO1br6Ta+LICmX\nKKjL6M/YTYnBkgoEI+TrLa7Xzk8sdFE/PgS4utEDIct283QA4sFjOkW72/lCFcmGOf5oArMJZr5Q\ni+aTyNP//mMAbLSktdZgn1xgwm/h33iInS+wbaft4KMREiI1cDzULsbVNXa1RpIUPy7wd04VyPjk\nubqlnR3HVm4Lrz3Qgxj0vhyNlZ3Rd0CCQBnnv4eb7GarokCgXY7eCCkIMrtNgzLLdQR1quBMsESD\nogZTBWUSnBxh8lzphOstdrXW7kGa6vc8m6pTYhplp5NEx0Cup7DJ7RL+YEZPL6LTtJgsRchUI6Gq\nMIOBorW/8FBR3c7qJljVe/xJD9DrR0oQhZUc1HFDNezfzznCeEjrgx7WIdBtS9JU5/f2xZVWaYsV\n2dkJ07ygrLaYzXcYJIIPjmr4EBBGqUqqb7uAMQZr9ZBa+6XCAIzlQTEjsb+ProH3+/sTglaamB0t\nkl4Honck7J+bjwtjlDGyExWKozgT/y1PtTNg2Cs0Ni3kEXsRDiiGMUm8ZU7WP6uHHyHApgMxgoih\n9DA0EERYtyVtEGrvsNZwXmS8v/FcVi2bJmET1kyzlkly/spkAOBuPuay2lI4hw+eoyznst5Q+pbE\nWJw1vDacIiIkZn9tz8uS0jfkWeB8MOA0z7g/cYjA86qk2gRSMRwPoCEldxk+sbgM7L3h7US6bbXw\n6AWv6mafoCdKCTWJg2WFpUE2JfJAO3n2xdVesTPN8K/fg+QNdfa8Xuroodcb2OqIS3KlHcqDc1U2\n/Tglyc9wfJ4Q/KhFG5G5bact7yyDNNOqIsTWWRc3pGgtynRy+zA7zLz7zavnzhsTudwqv2uWG6y1\nCsaJjnBkWjELqKxtWceDRUWNJAghT9VQZjzGPr/QlnjTYHyHuEiFTBKSX//P+u9ZhkyGtD/xx+m+\n9iWSb38fbta4sMCsFeRnXxjCybFqAdwskaJQL/XZVHdIL6oSdzRFsho5nu4OW3t5HbECAfPOe3pP\nRFSX4HiqBXBfDWSxa2IPDoi63d9DEcxquz9AylrBhMuNbvgfI5hiblSjIOQpZjbBPzjHPr3S6ryK\nCUoQ7GKNDIaYmw32xZzw5j3s1Y1WUINcwZnHR3B+iswXOlvNkv1h0ycMVa1shF3bs6/w40E0KHZd\nCDFG27D9XFxEuz55vj/wgZ1GBeh7jEdaHRujFXaeHeA5jHaDlitlmvhWmRr9uMJazGpNNiwI4Ypx\nltGEjiQxjKs5d9qcRfCshwVBFEtggE1Xc5rYXcW/aLccGYOxCS4pWLYlnaj97zQZ7HUPqhtlldSC\nSQe64RfFTsBKDYWij0DibgsIfVr0IMVexMoYvd3RiZFBpyOtKiptZtHquU/QDyNEAHDbAt1+FBdN\nvbQJb0lIcMYiQfACmbNc1gsa7/n+qiFPHCf5mHJd0oaEJrQ4azlyp0wTSCJw8qre8rhcYDC8Njxi\nlg04zgr+2+N73DQVXxjNWLYNN03JF8YzfBC+t7li3dac5iPuD7QAWDQNT8oKZwzjzDBIOu5PtO2/\n2AqdFTg2iIWNgUkdqDqwFXRbSONEz1h0DLWNIk5Vi2RWMS7G6Kh0rEJgbNVrghAUlNv7bPg9/sLs\nZNxr9Uy4fxrXQY3xssfvlHUEFuc/ME7lsxafqYTgww8/5M//+T9Pmqa32nPn5+f8+3//7z/2937p\nl36Jf/tv/y1Pnjzh/v37/JW/8lf4mZ/5mT+EK/4jFL6DusJsG0UyI6qsNxrs1dmIeIFmq9W7Ryv5\nsubjXNN2lVISqVCCiqp0gn/jAfLiCtNUhKLQTHpVqub3LFbzZa2bXD/vBH2t4+k+208THRtMRwQ/\nIJwdK3jtnXdx3/6eHpJHE0xTw+Uc7pzS/bEfwzmDe3aBMR4xTg+tPEMmI/ydM2gawunJjhIUTo4w\nqzWSp7tKwXRRAa6vYkQwVYMcxUMxTdTopqx0ww4BM50geJ31Gt2ITale87yqhSiiIkVRFjiEcMsv\nXaYjVQqsGgVJDgeYRhOacDLBXqiORBgWqntgwKw2mNRhhrmaBwX0Goss2usq8l/OjneSrbuxTZyB\nmtVaxXmMQdpOE6mqwqSZVrMRXyI9Xa7rbh9Oh/K/h0p8hz+TJDpyENFq63IOncc6SzIe0nUd6eUN\nWV3hgLDZqr11n0zF//pQk3XXVF2FIeOhjHBDOLGO0aZmfDrjpml5XjbUwbNuhUmWEEKgrZ/TRHO2\n1g3x6RhjDF6Era8ZJQWUcz3sNyVWOkhzle42kY7Wayf0LeS6/fi59CfFy/epFyXqR2wSot12gESi\nfHGqfxfCIdXhNgOhqvadhTaQpimVESZFTtV5CgeFM1xUHTe1YdmC9Z5pGugwTDPLvLY8GA5Ytx33\nB44vjMcEEd7dzkmMRRB+c/GUL4/POC/GjJJshy0A1BdTBGvhrfEpf3J2n8zt95TSe9zB2uiCMnPe\n3wSeLTqupWUSOs7HOc577J0CP1aLbdMamheQDsBkkMih5TDK/MlTHb+0LZQNMhsjy4120zIVFjNt\nZEtlqXYUjFHQrzHRRbKLaqgxaQ+xuwr6ft7//r/zz1B8phKCPv7dv/t3PHr06Af62V/+5V/mn/7T\nf8q//Jf/km984xv85m/+Jn/jb/wNjo6OPpdd7qOpMeuFtqnLEplEl7tiSO+lDugD0LV7kCAGbKwu\nXuY99xFlUPfqhLFFabRlGt64r5XmfBGrIMFczKMTXAVppuOAy2ut8vMoiLNY7bjB4e4Z9nKOPz7C\nPXmB+/CZougN2E2p6nGiGuPGRwOfIsd/9ct010vs0xcK8BsNCXdOIEsVj3A0JTy6u/socjpTMFxR\n6Mw8mhMxHatTnheQQBiPdsqO5smFUpiQiGtICbMN5rX7BKP2tWxrzGSIqRvkeqHvMx7AkxeKvB/k\n2DyPFSWYzXYvndq02CcX+uc0QYoC8oyQRV56mqp/QJYpLS94wmyCe3Glm1mRa5XddTvpVjme7OVT\njVGRpO0WklTftz/Ag6gqHOjhmpWFvwAAIABJREFUNhnprDQEqBtNYABpPSSxWu0OwG39gdS3rfu/\nD0E3VkMcXcS5+qZUjEOiBUFWN2RZhqtrpUSKOtWFUaG4Dee0gwO0xmFsyjQxGFJct1+ruYE0z7hp\nArPcEiThebUgc4bcVwwWH2iymOQ0JiOZvQlJTBL7Q3S1jpgaVO+hl2zO1OKaXvBqR7N8Fbf2B4gd\nY+cgGRABZJ94xHW466T4SA/2HsTuJaX129G/C/E1atU/MAlM2pq2SBjkjtQp3a/pLKmF1BkMhlXb\nMkyEkzxllIwZrAOYlsxa3hhNCSJ6jwy8qFfMmy2TJOGiWfHV6f2d9gDAl8bHvLOe4yXwxnBG5hI2\nXcMHWxWzup+P1EobTcaOs5RlK5RtYCkVN6HlXbflXrLhv3vtjJvasdkI1sCoFmYTq9tPA8GZ3dJV\n8SenI6+23SXyXC0wk0ITuaoGC6ZIleJc5ISTI3YaAr2Mds846YKCGI1R+WRjFDM0/OzKEv8g8ZlM\nCH4/8a//9b/mm9/8Jn/mz/wZAH7iJ36Cb37zm/zSL/3S5wlBH3UJJsqoWqsUw0NXuLLSDcY6rWpz\n9hVHkH37rG2JxOPbIi6DaLTS2w97f7tScQdJw2qtiHIHpmohbDFZCsczzOUVtm2RVYlcDfBvPIKI\nVg/3ztUcpFVutFLdrgmzKfbiCrveEiZj3NUN3VgTHXs5V9Gi6RiKgu7hHcLDewC49Ra7XGHe7dS7\nPFYA9mKuG20V78lI9cfDg7sKNOqlha/n+vmGGdTqBUE8uOxqQ7hZwusPEAz2UGO+H60EwYz18LVd\nFy2Bh/t72sd8qW6EVlvIoW31ML97ogekD9jFCpnGbsVgAMMC//brapJU1bApkfFQD/AQtez7TkVV\n6+snbl8RFXmciebq4oa5rfv+0kFnrNnRAHceBYfslEPBnJ72aeKaaDs9zJqYiAb035NEsShDZUeY\nTu2fJc+Q89M9bqNfZngopmR2qNoHW7c7BEM/CqkqTOKwScLdYsZp+v+x9ybNkiXXfefP3e8Uc8Sb\ncq6sAQWAQBlFka0mWm3NNuNCxuaCpi8gM/ITcCszmjZccMkNjVpoJaO0lbTUirsm1Q2SBgEkhSoU\nUVVZlcObY7437uDuvTh+I+LlUAXK2CBQlW6WBCtfvoi4Q1w/53/+Q0SnekzlnVBg5h+TZRMaH+H6\nx5ANyJxBLZcop2G1xsUR3mn5/Em886+HHcE2Ujtzpb/v2s8ogGDhzK4wcBqyPc4KBDfFvWsTAWUb\nBhUH5AbhXYT7iLJBGU1SVsEm2aCU4jAbcFUWPOho1g00FIyShMtyyTjp8c1Rn2fFnFU959FyxRv9\nYw6SLtMqZ14VdI3mohKL4AfZmHG6Q7qGccY/ndzZ/rf3nveXV9tHxY/zKe8NTpg1DZlSZLGmqB3W\neQpXMlcrSDx56vl4s6RvDL0kxVvY4LnhhN5N8ZWX4ikzYje+CPd5LI6syjn5zgy6kEaoosI8u8R7\nh+92sO+9235QwMszMY6R6OkwJupm+H5P7v/kJSTsn7P1M1kQ/OEf/iHf+973yPOc9957j3/9r/81\n77777gv/rqoq3n//fX7nd37nxt//4i/+Iv/hP/wHiqKg85P4VH+ZlwdceAhoI3pzFWxie51dN+KQ\nLtgE6L8Nf9mbu4mGOowX9mfk+yhDVQVJVdtlCrTsh33U9Uyg7LJCB026D/G86nomMjqlZYPxDp6c\nYvudPf6C2hUdgx4uuNY5a4UVHxmi7/0t+sNPhL/gvHSQWYo9PsC9/YZsgE/OUNOFRKTOFuhHjyW+\n13thk19OUU0jRcBsLg/9YV86qzZOOInxVzPRllfBxyFJpOiKI4HR41gsexdLSDPp0OMAx0/n6MVK\nNttehnNOCqRuKrLAdlUN22pKS9eo6xoqL/7ok5H4CGyCJXKSbKV/bjISWdR0IXP+4GbnQ5CSFIPl\n7r3azbpd4wGurOR9n1dJREZGJVoJ3N9ef6VeRJKa4DrpvSAAZejS2oczSPHVyfCNRW02+DjehsG4\ntx/A1RTv/I44urc29ZyyWVJsrvC+YdJ/l+TkocgxtYY0wfzoE27Pl6ysJ79/m2o0pBcJMhGlE5rl\nU5SJ6cYjTNylqkti28Us5jLK0BrfaFSciloFtccRCZtAEu+QssS8yB9oRzPt/19V8r1r00Ct30Md\nCAWalr+PDcTZDjUoNnvXjT3SaSjeW+TCBU6Dgm0MuTEE0wO5BlUTmgLPQRJRxwmNc3SjhsI7rqol\nRimM0lgPRbPEupI1imfrMx7073Er6+F9zWebUxqraZzlrLy6URA8v6z31M6SBELnZf6Ij/1TtNac\n08dvIrwrSbhD5QQRHKSQGk3lLCUNw354NrSPeQcmAx0rmR/sr+FAQtiaRjhOwwHKWZG2JjF6vQnX\nWrp+PnvGqqvxSpM2ntREggh00jAm3XOW/DkyH/q89VMtCJqmIc/zV/48SRLee+89fvVXf5U/+IM/\nYD6f8/u///v8zu/8Dv/1v/5XBoOb9pKz2QxrLaPR6MbfTyYTnHPMZrOvdkFggSkoN8DnC1Q3wXdi\n6PYEMVDBFz2Kd+MChfxZF7sNrnXXa+HT9sHTyhKfN0CxVuxty1JIV0ksBcigJ68znQeJocEPhvjl\nnGgaHrybSsh8HnHbK0p8KAj80QS/WAqc3+/RHIzQZSUuyJsNqhLmvU4TXL5BNw32YLzlAuhHT9Dn\nl6in50QX13itwjzd4Scj1PUcf/dEOocmEI2UFjtS2DHlt8vBoIOPNM4Ymc9nGT7L8CcHQgK0DgYy\ncnCDHkwGMmqwTqyUlZJxypv3ZcTSyXYb6qZE1ZWoFrSRyOnQvbfpdurySl6/2xGFxqZEX8/CRmLF\nYyBKYJ1Ld30wlI68roN9cYlvGuHseC9kw/31Mvc22BLVfDtK+rxu2IX7BicFiA7FwHwlCIv3OwRr\nPMT7wU6hED6Du3vr5a+9WGFPf0y/3hAf3iKPN5SUrOorutkEoyMpRDcb+p2UyDp68znJ/ROcd7jO\nAaZaE29S4rxA6wh6kG4atCkhzzGfPsN3EvzRIa5Ezu2rOsGX5dy3hVdbELRBWW1jX2x2RM66CfJd\nZD7dOLZeBcE5cntd2uItSXbKAq13hUgTXEVbNk4ng0En2G0HeaLWYqiVyu/kqwVJLyJLY642S1ZN\nQaQjaufImw2pyWhcLdySYBzVuA39eMQb3TEX9RUAx8mAhlfP051ryItnxPUluVesqzNqe4XufoNF\nU7Ko5wyI8a4Bdc7/PvkGf7OOWdmK2m2YNTWdVFPUMVkUczSQx9gXrl5HzkZoWnxjpeBXSsaIbaFs\nHfn8Gm9G+LJikyUYExNlGb4lk34J10+1IPjud7/7Qje/v37wgx/wn/7Tf9r+d5Zl/MEf/AHf+c53\n+NM//VP+5b/8l3+v93uVbvgrs/Lw/DAaNRjjY6DvdhBuG1c7W6LOL2U+2+mBa1BxLJ2uNzsG9Lb7\nZ2cq00LD+wXBZQhL0ki3miTQCFStOplIqLzHt3K4PIdbxzKnzS/x04W87myBDxA/AEph33l4owBx\nzmE8RD94X5qzTibda5bg56Vs8pHGPbyL+btH6HwjHgTBm1xZhxoPdnNFwPW6qErms15rcSj0XtwB\nP3smjolHB/ijwwARR1LEHB+GKOEw0227uGAJLME8CryTzxDH4hcQ6eCtjmRKDASdUZ88QVsrDoOr\nHH/rUAqMVR4+a9hIrcW3+3FR7giQjUWXFX6S7myQ2xjrTZiJdsSMyCktI4uXBTS9apmXdMEvW3UT\nRlI68CQiQV6WObgBVE6sZVvpX2ReveHur/mC6IOP6EwvcFj06RWLbw1J4xHeO4p6Tj89lNcLt2tm\nNGkaY5VCo7HpAKVvocc9dHeNqgvcxqL6t2C+RFcVqqkhd/jrGeph0JvnGykUg28EVmDm56O3gUBK\nZXdMdb0rBgBBT9j9rC2OZrm4PDYWNi6ocwIat3/uWztxpaAqd+qGqgwJjmbH70gFPid225HKvo9S\npRq0l5011hHdKKHxnkhH9KMOw6TLrJyxsWsAKTiRovEgGXCvMyZ6ckl+/gkr0/DDty+52xvRH7yF\nCRLFdXnFpxd/Bt4yMSPKzSkH2W2cSVltTtHxAXWT4404cCoV0WXBd47f5KPVFesm4jjrEGlNqgru\nflGSpHxQIe7WjUgCW/5FvysjRaOxxxPMBx+h8xKqCvvgUK6LtejrObZTEelDiLtf/H4/p+unWhD8\n83/+z/nggw/+Xr8zGo0Yj8ecn5+/8LPxeEwURcxmsxt/P51OiaKIyeTnxzLy/5e1/0zdFgHsZrhO\nmMtquUYnEjKjnzwVeDLN8HkqAUBtZ9NCxy1BrCU+7T+86xA1HAWZkw//RisY9sXo0MuDxCch0z4J\nRJ44hkFHzIGWK1wS48+vcG/cvXlc+xkEHz8h+uhTOdS8EIOlVNwLrTaiY48j1HKNORd7XVWWMo8e\nDvFFgUtSwNPcOcFcTSGOqL/ziyinhPynNfr0Av3jT4WUdHmNri3NG/fQm4o2qMl7vx19+E6GiyNU\nkMd5jxxr4BD4OEJVtWwgzc5u1rcP+fkSXZQoo8UCNQkQulIijdIad+to63u/hZnbFLhA1PP7TPdX\nbbJJIpvE88mAP8l6/vo/v4rgZOia4FORComxFM6JXxUoXeKLAo4PdgXLF635EvPZKfr8iqxWbLoa\nbEUvj+lMxuhnF0TrAqOuZUZuG0DL+CgUmUopIqUk8Cbu7h70nUzcEa+mUFtcmqKyFBUnuGUOp1do\nb8W++noWgr1i1HwpEc8vmFDt/f9NAw0BZUCKIL1XUDvA1/JvcDvy4nYkFyS+7Vig/V4rJShfayfe\nSeV8++bmOKdd0Q7l8C4VwishWVkLl7QTJWhl0ErjvKerI2hWvNMdcV1nFDbHNxXnq8fc7t8njTt8\nfZ5y8dElqauZ1DVLd8HVNzRaf8pg+A7eO6brT3Bug1Yx8/IxfZUSG8/UVpTWc5AlJN37rIpLYpNw\nKxmglGEQJzzoDnm2ekKxmWF0TNrZcRJeufJC4rtruQfNswvUOpdj1go/HND8yrfkuh+MsWmOXuX0\nzhesG3lgOa9ITQqrAg7GX/yeP6frZ4pD8Od//uf8xV/8Bb/7u7+7/bvr62um0ylvvPHGC/8+SRK+\n/e1v8/3vf5/f+q3f2v79X/3VX/Hee++R/n26nS/j6smzRQUDEnrsZDPtQ6ZlH2828rC5msPxRBjr\n60I2siR4FOh0Vww4v90Ib8DFbZyrC0ZFeSGyu35POt/xQDbt6xl6uZYuupNhmxqTb2REGsKN1LrY\npr29aunLK9lY0wSSGDcZUf/6/4Z+eoZ5drFtvMyzC9xkKAS6OIZBHzce4jq38L0uuiiJpnP8oZD1\n9GyJu7/3sFnnKLwkF2qNywvM5RX+zvF281VnV5g8l/9ertHjIW7YDx1eif7gYzH2yTLhQGiZz/g2\nw6C1o724Rq0E4lchOtevctlXmhoVp9i37wkxyoqroW87026Ga2rUTOSTHI5Qi5WYJA2CYVCWChlq\nXQi3IIl3xUBLMlUIWvB5o4BNuRujeCfFn1EhQTCQS30whqn8Vj+vsgB3lxU6QOmSWLmSGe1PwNTW\nq3WIqY7RdUNmU+LDW9huD6YzmE6JzQDz7JnYVh8f4COD/cbbL7yWHw5Q55dgvaA1wWnRPbiLrz7F\nxBGuaWT+nMSo1UrCniZDGa3FodBxXtCb58cucQx1kP01jaAy7fmJtKh9WqvhSAkhsP3e1WG0EOR5\nap0HJMUJFygygTwYbT0GRKngdv4DcAMBe2F1MpzRbJqStDshtyXeWQamx0Q1bHAkOqWszgVJAhpb\nEDUVeIvHMl99wvH4G/TWJd4MqNwary3ppmbpPc47iuKc9eoRi9XfYbHoKCYyGctySma7pLpDNzni\na+N/ilaaPH9GVU5ROqbXu4e1FX7xAevFx9Q6pde5RSddAZ/T+G1K9HwtGQPFRtAB51AB4cEYWK7Q\nf/dILMyjCF3WqDgmcYA31GlENh4Lj8S6V7/Xl2D9TNkoDYdD/t2/+3f8+3//7ynLkouLC37v936P\nhw8f8uu//usA/Mf/+B/5V//qX21/57d/+7f5z//5P/Pf/tt/o6oq/uzP/oz/8l/+y+eOJr4ySwET\n8MfAAeDtDvZvbCAGKnwnw2828hCKjITsNDak2SU7kuA+RNkWBvsWrSDEpV4HwuaplyvMOkedXwkT\nP/jr61V+g1Htvv429a/+ExiP2gBd2aRe5fAWHOLcqC8QLoBSuCMJBvL93pb8qD97hrq4Rl8vcHdO\nsN94CzscYu8cy6zfaFQlWQnkhWzum+rm+3UygYd9eO+uzPq99Tsehdl1XSIZFytfVTeYDz8henqB\nenyGWq6ErR5FEpBy/7a4H8Yx6uwSczlFz5YSStTvCNfi5AB9OcVcCxfEPLsQFMJo4RLMltuYYVWJ\nxLD1NaDTEXJlHKHaWbYx4qo2Ht7cgOdLuS+qGlbrPWTJ3zwfgWMhCX6SOqe8l5Cnco+o6NkhGEks\nbO8kCQZEDp8XKCcBTKzyGyFTn7d8ksp988ZdfL8n5MrbJwxuv0vXdRhEh6Q+FZfLxQp1cYU+vXz5\n68cR1UizyT+kmr6Pq8TlkSzDv3lPiJVlyBTIEtlMygp1domaTrcyP29eQr6EIOElFEd73AjFzlio\nnf1bAookSgUVxahuR8YSm1Kuy1r8PLhs5buVnDsdSIPxXjZCEoyN0mQn72z/tMs22EaKANM0DJIe\nXdMlbgq0r8k2OXo933kZAMpbfEh5tFVFtKlpijm2Z8lsASrBe89ynDKMNGk6IV99itEJ3eQA7UHr\nhGF2l8ODf0I3OWDYvUea7Hw6ut07jCffYjR6F2MyyuIU50ruZX0exhF3tEXzBfdLGXxXokh8V4pC\nENB2jBTUVDrfyHcjjkRWaz1+2CfuJKQHB1vvDr9//b6E62cKIXjvvff4t//23/LHf/zH/NEf/REA\nv/Zrv8af/MmfkIQOZjqd8ujRo+3v/OZv/iaLxYJ/82/+Daenp9y9e5ff+73f4zd+4zf+UY7hZ3YF\n29vtQyGK5IHUQs5lid80EGn8ciUKgNEgaG6bnezJe2HvhHHDCx1kMKhRXiBZZcVIRUVecuobCwlQ\nFJgn59JhdPu4uyfQ7eDevCc6+vUGl8bYN++9eCxlRfT9H25hZ/vGHdQix4/62K+9KRvA9Qxf1piL\nK0nx01p4A7MZymv8ZCCQ/NNziUutKpkLNxLis3UdDJC4u3MihYbSaDzuYIwf9PFHY/HfD3kFzoHK\nc+naT44ABOmoLURGchKWuVgeD6VoUdNFIAk2ckxGSwfvPW7QF9e1VS7XK0t28qflGt3Y3bWZLoQ0\n2BLMnBdkINkLGWJv3LO/nJONfLMJoUSxoEl5sYO3203l+d/LS4HkW7ti15oGGXn4zlcoJ8ZTPgny\nVK0EiYq1EFAVqMTgq5/A2KWq8YcjcTbclNS//J74RxD22JM7mNkn4BspypIYhZL8hcen6IBq2Lu3\nJJ7a1rgffpf0oym6sui/fIT7pX8mjpVNI/JQkGuwWsv1sQ1kHdlsIyVyz04aiuG9tV846UjOrzFi\nkKM8VI1IOiMjplKbTVD+BNmkiW663lX17rtb1xI2BVBX+NiE6HINOvnJOR5NjdZizKRapMIKCbTJ\nZ7j5NU47bJwK6TJNOEiGzD00qwUTq+ioGnP6CMZj1Lfu05/mFP2HPLg1IO6PMSZmvfoEgFF2m8z0\nODj8ZeKow6erH+5NVdQ2FvnG8h49PyUr5tR+Dd0+3jUk8S4EbFY6KufpR4puG1feSWG1Rp9fg9Iy\nSuxk2IMR5kePAIfSCtc49PUc1+9Kgd4WB1kKxwe4lg/U+XKSCdulvH++9P/qrIuL5T/2R/jpLmvl\nodNms/c6O07A6bnI7ZD5NgdjfCcVuRzQmuBQljuWdWsh+/zmUhTC+L+aouYrKQSyTDbQB7fBOsxf\nv4+ZLcF7XL+DfeehkPKck7ks6uUxwJuS5P/+S/TVTIqB20e48Qj7zbdBa9R0TvQ//g5zeiEWpXEs\nOv1BX7hbWYY7HO02yNkC3VrnOoe9dwf77kMhOz67QE3nKKNo7t4SyD0cH87LvNt7kWuiZMb/7AI9\nW0AWcgXGQ9STM8zTc9lQGos7OcD+4jekcLqeS9EEYhO93qCyNJgidXBv3EF//wPMOoflCl9bSRXs\nZbjJSIiJQQnglRLE4/wKVoWYNGmNn/RRAXJ+Idq4XW0w1TIXkkdrYd3fk40ZfXNz2pSBIyC/q0Js\nrh/1dp1yVUsh1s6rFTI2aP9utQ4eFiLZ86Phqx+6zpH86Z9jTi/wnQ7lr/0z/Mnhy/+tDfkU6wJz\nEUyahn30k1P8OED6m41s+rbC/eD/wXiFXtco6/HvfBN/eCCclzZoyzrcoCeow2odCJgePxzgbh+9\nHM1q0RalYJWjyg1bP4ChqKa2Lo11LQUCbAt11QYZOS/fx+vZTiq8KsSwyTViP95Nxdq5Nfd6WSfb\nmkLhdw6jG2Ef185hXQ0qIvYet7nEFguUt4DB6QyfpujhmDQeAZ767BMUDu00psrxRiK0Wa7QBw9F\nIZJmMB6Qrx6TF88A6Hbv0u1JsV/Zkll5SrTcMGaC7vZuOHUCcP0pfnVOvv6MavmMzWDE4Pb/QjR8\nh3lVsqg8kGC0xjrP/Z6hY5Sgkq2kOfBkvNG4B3fgcirPkTyER7UjVKVww56MhNoo+C/ROj4evPJn\nP1MIwev1D7yck81qE8hGWSJf1ljgMt8qBZSCgwkog69qVBbjFPKQgZ3cEPY6RH8DIr+xTAS+knkw\nXgh8kzG0CWRFuXN9qxvUas8vX2v80cErD8k8PWOrqfZegn8OJ9vPpS+nggYERzLfIhzBqc8NuwL9\n5xvRu2st3X9jA/s6Ehh9tUI/PhWWNxpzeoFtC4JWyuoc+uxKunAksQ7byOs0Fj1f4oZ9/PEEO19i\nygZ30MV97QHqYirWwM/OpQsZDVCbCqfEq51eXwoi7+FwjE0T1OEIZrlIR8cDiVmdrbYdox9LvoJP\nE9RiJZt/J0WpgPbcuH4vWUpBL5X7xQQFwue1C1kaxiWhgGkCZyAvQIVOOFynG/dJ4AvIDFfQEIyM\nTz6vAzMffEz05Ew2ysWS5P/975T/1//58o3YGLmOgx7OOlRAp3zSGnI51OmloC949EbjEgv40F1H\nEtQUx5KkWdfYfh//rTuilvnRR5jrOe7kUDgYxsh3rbE7O3DYsfvLGrUqUJ1QvK1zKTD3XSG9hyQS\nJrxSMOzhi0oQoVSkweEbJTyNQR+/WqFsLLB4KY55aCWBZUFOd2Pt50RYJ+FWSQpVSawgTsI1V+Bt\nFzZzsAqVZhhl0NmIKBlvXyPpHKKqGmcsvlygihqvPFrF8v3KUiHxMqDbv0/WFUKn1q07aknSWG6d\nKfTC4tMF6mKOG/TwxxM5hqZBLaaCElQ5adQlS25T24aP56fESZ/T0pIoz3HWwWhF3nh655dSeDrh\nXvhhf8vV0O9/hMoLUYYYIxLkpgmjuA56tqTpiOnQV2m9Lgi+rCugAaqsgu7d4itx0vN1kB81VlwJ\nQTqWfgfo3PCpB3Ye9WVwk2tJVK/aXJIYv3RCFLt1tPVa1x8/FtHBrSMh0JU1arkCrTGfPqM5nHx+\nKhyhCx4ORJtfFPgkxj7cjRV8J5PNKUnkQdTJcHeOcZOJFELGYO+eEH//fXE+TCIJBxr1w2aaSlf5\n8WP0bA7rFe7ocMvoVtcSEqSvp/g4Qq8L3O3jLQxMXYnBSUAcuHdLApwCiZFWslYUqPkSpSVZzT85\ng4Mx6t4tiXUe9qRzTmN8EqHGA4kdri1aK3EfVDL68JNRgLGdFEjOoSJJhNxK1L7INS8yQSpqBBVo\nGextYqN+BSktiXdqEmeley7LMJlwuwIwCY6R/Z4cv9GgAiow7L989t6u5VpyGPJidz86L0XX41M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DAmICLhOLx1+KMhWmvc5bWAV6cX4mOCl/TBUV+Czp63hA73tHl2gbIOPZsHNC2CssLmm+13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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IV - Flagging Gaia objects" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.add_column(\n", " gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6656 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc-deep_flag_gaia\"\n", "\n", "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n", "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# V - Saving to disk" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/HSC-DEEP.fits\".format(OUT_DIR), overwrite=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python (herschelhelp_internal)", "language": "python", "name": "helpint" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }