{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Herschel Stripe 82 master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) data\n", "\n", "This catalogue comes from `dmu0_HSC`.\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, N921 aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y, N921 kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\n", "\n", "\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", "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n", "This notebook was executed on: \n", "2018-02-25 17:44:52.881348\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "import datetime\n", "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "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_ra\"\n", "DEC_COL = \"hsc_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_deep_Herschel-Stripe-82.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\", \"n921\", \"n816\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"]\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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+8iz2vhm7p69O3D19Fe91TBERqWIqOFIrmNh6mH6nYPucDJ9+hPvKUuzT/8Y+twTTpWfg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\n6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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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0k/9vr0opcNTqz6lae9fbiSilP1cG6bBkUEGLw+Fg1apVVFRUkJ6ezl133UVC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\nLo5vzZ/Lt+bPpaGpiQ++3MSbGz7hr+/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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: -0.17906951904296875\n", "Number of source used: 2220\n", "RMS: 0.021197122735309888\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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SyZE6qUoF5+cF/tavX0/37nsXlTLG0LBhQ1q3bl0z6UREJCjGcWDAUPBFYV9d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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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yu9BM4ftSHKa9dextRvD5seN87/611Nkd/PIn/8rXLrlw2DYej4fj9fUcOlHD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\nBEOYJzMbVQBrcAghhAidJC1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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 17.6 and 19.7." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.08814620971679688\n", "Number of source used: 1214\n", "RMS: 0.01139705968377968\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=17.6, mag_max=19.7)\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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jiRySgG5RffHFF7z44os888wzJCcnV3lu4sSJQQ0mIiLeMKlNfrZ8fArOjVO0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"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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WLl1KZWUlAIcOHeKJJ56gt7cXVVW57rrrmDdvXjhNMozW0Q6ebqObEfee/ctW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\nnMhqaRyy2u3jq27FIudeCbq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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 18.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.06712055206298828\n", "Number of source used: 4684\n", "RMS: 0.014996732229935764\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=18.5, 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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MmVPd7CIiYcGccTZO42TcBTP9j5GPvgPTpr3XsUQimrHWWi9+cWFhITk5Ocyb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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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PQRw9JAchtSaSJKKYoajZyGq1wmiUmz/S09NhtQb2aSiQ1zc2NqKxsREAsGPHDphM3m30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\nRU5ErkJggg==\n", "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 19.8." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.11537742614746094\n", "Number of source used: 7648\n", "RMS: 0.013625932147155698\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=19.8)\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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ah312EfabXTjXZGLqx3gdTUSoRMHJzMws/1rz4IiI/MwYgzn9XNzGsdhH78Od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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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FkPzbdO3PCKkPYsWNlbpsqomhxSiMPp4lKzM7rqTUxz8dMT0FvHM9N6GfkGWg1Qk42gCH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\n1yzGRERE1cTQYkbl6tJh1xA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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 and 18.7." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.07273674011230469\n", "Number of source used: 1738\n", "RMS: 0.004619679368482173\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, 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": [ "### I.f - N921 band" ] }, { "cell_type": "code", "execution_count": 21, "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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SuXNnOnbsGEr5IiLHzZzdhbjsRVCnLu6cTOy767wuSUSOIqQRnIMHDx5yrKys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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['n921'], stellarities['n921'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 22, "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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mY1TqEK6dPYu05CQefPZ5vtuzl+S4WH516c+4atZ5fT7gfNuuH/j9P9aza99+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\nANHR0axbt47IyEj27t3LypUrWbVqFWF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['n921mag_aperture20'], orig_hsc['n921mag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.5 and 18.7." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for N921 band:\n", "Correction: -0.077545166015625\n", "Number of source used: 1233\n", "RMS: 0.02450862579659783\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['n921'], num, std = aperture_correction(\n", " orig_hsc['n921mag_aperture20'], orig_hsc['n921mag_aperture40'], \n", " stellarities['n921'],\n", " mag_min=16.5, mag_max=18.7)\n", "print(\"Aperture correction for N921 band:\")\n", "print(\"Correction: {}\".format(mag_corr['n921']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.g n816" ] }, { "cell_type": "code", "execution_count": 24, "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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3Yp99FEq+hkuv1V5WIiGgWgXnvwv8ffzxx/Tr9+NCV8YYmjZtyimnnFKtH+bz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['n816'], stellarities['n816'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 25, "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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NJtSOfLOm5hZe+2glz7/zHiWVVYweMZzbL5tM1gkjHX9tkaDFeRK0uI+6/Teo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\nVHDrY7n8+Ntm7r/+GuKi3DstJYRPioi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['n816mag_aperture20'], orig_hsc['n816mag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.5 and 18.7." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for N816 band:\n", "Correction: -0.057849884033203125\n", "Number of source used: 448\n", "RMS: 0.021115571577458442\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": [ "mag_corr['n816'], num, std = aperture_correction(\n", " orig_hsc['n816mag_aperture20'], orig_hsc['n816mag_aperture40'], \n", " stellarities['n816'],\n", " mag_min=16.5, mag_max=18.7)\n", "print(\"Aperture correction for N816 band:\")\n", "print(\"Correction: {}\".format(mag_corr['n816']))\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": 27, "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", " 'n921classification_extendedness',\n", " 'n816classification_extendedness']\n", "])" ] }, { "cell_type": "code", "execution_count": 28, "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": 29, "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": 30, "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": 31, "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": 32, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc_id\",\n", " \"ra\": \"hsc_ra\",\n", " \"dec\": \"hsc_dec\",\n", " \"gmag_aperture20\": \"m_ap_suprime_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_suprime_g\",\n", " \"gmag_kron\": \"m_suprime_g\",\n", " \"gmag_kron_err\": \"merr_suprime_g\",\n", " \"rmag_aperture20\": \"m_ap_suprime_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_suprime_r\",\n", " \"rmag_kron\": \"m_suprime_r\",\n", " \"rmag_kron_err\": \"merr_suprime_r\",\n", " \"imag_aperture20\": \"m_ap_suprime_i\",\n", " \"imag_aperture20_err\": \"merr_ap_suprime_i\",\n", " \"imag_kron\": \"m_suprime_i\",\n", " \"imag_kron_err\": \"merr_suprime_i\",\n", " \"zmag_aperture20\": \"m_ap_suprime_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_suprime_z\",\n", " \"zmag_kron\": \"m_suprime_z\",\n", " \"zmag_kron_err\": \"merr_suprime_z\",\n", " \"ymag_aperture20\": \"m_ap_suprime_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_suprime_y\",\n", " \"ymag_kron\": \"m_suprime_y\",\n", " \"ymag_kron_err\": \"merr_suprime_y\",\n", " \"n921mag_aperture20\": \"m_ap_suprime_n921\",\n", " \"n921mag_aperture20_err\": \"merr_ap_suprime_n921\",\n", " \"n921mag_kron\": \"m_suprime_n921\",\n", " \"n921mag_kron_err\": \"merr_suprime_n921\",\n", " \"n816mag_aperture20\": \"m_ap_suprime_n816\",\n", " \"n816mag_aperture20_err\": \"merr_ap_suprime_n816\",\n", " \"n816mag_kron\": \"m_suprime_n816\",\n", " \"n816mag_kron_err\": \"merr_suprime_n816\",\n", " \"stellarity\": \"hsc_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": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_suprime_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/ipykernel/__main__.py:8: RuntimeWarning: invalid value encountered in greater\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" ] } ], "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 anf 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": 35, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 35, "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": 36, "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 2868474 sources.\n", "The cleaned catalogue has 2868272 sources (202 removed).\n", "The cleaned catalogue has 168 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_suprime_i', 'merr_ap_suprime_r', 'merr_ap_suprime_z',\n", " 'merr_ap_suprime_y', 'merr_ap_suprime_g']\n", "FLAG_NAME = 'hsc_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": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_Herschel-Stripe-82.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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zEFSBf0lqnbmuGn6zY33al287c2XQNV0XmTQ8m4lWvu0crGco+V7FrpkLpVA3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\nvR3MZnXM5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jXl2IVLzHrWlGsXDjErrUkFTRxdj8wAPjotOXah8I80Kd+kGZx8S7ElxNH1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\ni88//xzr1q1DVFQUbrrpJpSXl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F+j3MbKHMU56rDbPTxl3N8LfrAuFHxU91gXBwcMB8Pn/Xv81mMwAODw/fj0Oq8VGAiKqz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8+XbDACA9c0wKgH3VpIkkAGPbpcOseO/2YKtV5DvMdH28mgW+HeUWyIIGkN7I1gh0QAxQnM9S2g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gh3vwsYX0e2h/5rOI3jtlSFI/g/n+CxjviQp89xlwtE+/jeUCPthhS0VY3zQtyWunVySZ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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": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.109708158538524 arcsec\n", "Dec correction: -0.10202967583285982 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": 40, "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": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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o0QNnnnkmbrvtNsfyCLFZMm0pM77blaXjk4omGz6loimVvoxSEMbAFAUkGAT0\nnqZb9fWSbK/pK2yVm74C9iCsE1vKruEZ5U4bph2NEz7Z0GSjb6Fl50NjW6ZpYJoKKApIqALEsr8K\nAJjCh4iJPxBX/1/84he49957s5YNMLBoFMTnB5FlT9mqM8jOhsaA221VCvs6xb596dcNeA29elWn\nvObKyKzUMF+kCT0kJ9edluVL41TfYsguKI0kgUgBQHdWcb/rCINRChBiOrN8ZDPGgHA7zF9IUvnq\nXQCazio78buX9C0GHwF7uG7OrJQgRCwAcZW+jIEk/DYv2eAgAECkvOpg1zbKaquDVLYX9S2HbIFk\ndOrIzGnPz/rdyz06N9Ck5SPLgKoClCbR5CKHAQDRh2molncdrCi7rQ5i2V7Ut5SyhUOzR6ePzBI/\n3dhztOv9uVnfXGmkYIjPo4UqCtdjrqgECQRBgsGDylZe1DdfPp3lOcjER8AeIjKz+cxUlguNiAoc\nljmY18q2x0x8Ptvfet5WHtRXPAeFiwIF4tGpIzMgOTrLVJYLjV2vqzPI7iz6llO20Nf9souhr0Ay\nOr0zKxXK1bPyYo/OizqXA160k3gOnMOLOpcTnd6ZHexDFV7TlzEGUAqmKN7Rt0yyvaavsFXh+Agk\no1M7s8Qw3i60TyzLhSZfPtY/N+kLxsBUNc6e+cphigIWjQDG5ukS1rsc97Yz6ZsvH7c+B6WWLWAP\nsQDE5jNTWS40+fJJp3c59KWqCkQ6wKA/fHp2jXxlE78f8PsLUodS0YiIo/M+B+WQLWCPTh+Zper9\n2V13WuaG3lvRaSjljgwAZNn1+ubLR0QF7qUpt77lkC2QDBGZ2XxPd90rvbdi0zBCQADu0CgFk6Sc\n+DilKYRdRFTgDdle1LeUsoVDs0enj8wSP52UlZomsUfmBn0lv59vbvb5zL1hucoGGKAoYOF2noS4\nAPoW01Zg3tK3EDTiOXCPrQTsISKzNP83ytI1oky9s0LQpNLBSc+QRSIAGBDgx63koq/dbxhjPGlw\ngGfWMKKnXGzFGHj2fE0DIZIjmmxRyPvE4C19s5V1sD0HhZCd6jfltJVAPDp1ZGbAiVMgCY7ArsEm\n8ikkTU58OsJgmhrLRF8g2YnIV19CCIgsg4RCcRlASqFvOj6F1jexzI3tymv6dkZbCdijU0dmRiNJ\n1cis1+1o0vEpNo0jPozpGePj61ZIfY2Hr9j1ThyCyVaOnd7Z8LHC7bbKlyZfW7nuOSgBTSnvrYA9\nOrUzy7ZzZhwBAAAgAElEQVSnlU1ZqWjS8vH5+X4tSvlG5IS8h+Z3g1eW+hRc3zRlhZCTVraDRSxW\nFLKOjFIzwsuHTyFpyilb6Ju+TDg1e3TqYcbE3r5dBJBYlgtNvnysf+loEhu7FAiAVFYBFZXmic5J\nNB0dfCFDR7jg9c6VppSyAfDh2I5w7JTrEstGRxgsmr3scrTFnOpIaUmfA6/ayikfAXuIyMzmM1NZ\nLjT58kmnNwDQSARQFTBCgFAlQOJ7cqnkkFDIjMyKUe9caUopm4QqePRa4Iz9TmUzSkFylF1qfbO5\nTjUNiHQAjIH6AyB+f9GfA6/aKpdnQyAenT4yK2dUUNDem6rwSkkyQLKULUlAlvocTD1dQghfmVmm\nqIBkkO06WzmloTTmtH0+9+vrIfsKJENEZjbf8ykrFY0tH/1fkuJ6MfRN13supOxCyCmUzXORnUqP\nXPiUgqYQfFj8xdI9B2WgKeW9FQ7NHp06MjNg1zisZYTEr1SylqXjU0iajHwqKkEk2bxmS6NpYJGI\nmRw4V9mJcLut0ulbaNnpaBLLvGarrPWVZRB/QB++Zc5ostT3oLFVFvoK2KNTR2aJDcVoRHZl6Xik\noknVCLOlSaWDlYZIEhAKpZetaQCjAIvnl0lf4zdObMVUFTTcBqmiCtAXnWSiSSc73Usjm4e8FPcp\nV5pyyy7WcyBJEhAIgDF/2hd5IZ8DJ3xypTF+45Z3hkA8OrUzSxwayGa4pdQ06fR2zMfv51npi6Qv\njUbBmurBADCfH0SuyLvexaRxy70Vskv8HBSZptiyBezRqYcZrROqxne7MuO707JS0ZRTtu11RsFA\n+JxdESf8y2Eru7bhZn29KtuL+pZDtkAyRGRm8z3d9YOqF8jiJ+nzlcNkGYQAYACiETBf4aLA1Nd5\nbsdC1SFdmRWuv7celu1FfUspWzg0e3T6yCzx0409R7veXz5yoGmgEX2ztL6htRD6Sj4/pB6HgHSt\nAansUtSeLhjjdWhvB1PVThsVeEnffPkU+jnwqq0E7CEiM5vPTGW50JQzKmCM8QwTqgIm+0ACAUiB\nIHcCkmRLQykFFIXT+P18VZoT2YSABEO2vy1oT5cAUjAEpkRBCnTKta2tgsGc6+BWmoLaSony43BK\nZCsrvGSrQsoWsEenjsyA5OgsU1kuNIXikzMNWGxTtaxvkJYkEL8/NR9KwawbsUukr10P1Z5G76X7\nA2b2jHxlc66It1WJ6p0LjXNbFatdgXd4ANfbKhcaN8sWSIYrnVk4HMacOXMwbtw4jBo1CpdffjnW\nrl2b8vevvfYaJk2ahJEjR+KMM87AvHnzEA6HS6hxZpSrESbLFQ+DY4jOcMHhnufA/fCizuWEK53Z\n3LlzsXHjRixduhTr1q3DpEmTMG3aNGzbti3pt2vWrMHtt9+OG264Ae+//z6WLl2KN954AwsXLnQk\nq2TDMeUcCgLhGfQBvtfMCR9J4qdIAwB1SFMoffO0FVMUIAc+ANPtZRlCo5qrh6HKOmwGWNoVdbW+\nZbdVgfUVSIbrnFlzczNWrlyJW265BUceeSSCwSCmTJmCQYMG4fnnn7f9/Y9//GOMHz8ePp8PRx99\nNM477zy8++67GWXlMwmbb1k2NNa/rGXrx79IwSBIZRUkPbEw051aKj6SJEEKhjiNfpp0KWxlV9ds\n+LBIB6BEzSHSuN8xBqapqeutamDRCI9dZR8IkJQtpZj1NmAns1ByCn2frO3Kzc9BuW1VSNkC9nDd\nApBPPvkEiqJg+PDhceUjRozARx99lPT7iy66KKlsx44d6NOnT0ZZiT2fYve08uGTTu9UZUYmfQBg\nUiVACGg0ys84A4BQBZBiAUg5e6V2dXXKhwT1UwD0B98op6oCRCJgAEiQAHaLRnw+SHo0mvjaKFkb\n6QjzT00FUiykKYicAvAph2wrvKBvMWQL2MN1kVlDQwMAoKamJq68trYW9fX1GelffPFFvPPOO7j5\n5psz/rbQUUGpaTLyMaIQa1Z8GovIMmWKL7m+haKx68HrkSiPumR3RgUAwPRE0VKyjgfdfTpI9C2H\nbIFkuC4yS4dMN3LJkiX4/e9/j0WLFmHEiBEZ+RU6KigHTVo+RAJjmvmCNMugv9hZYTdNF5NP3nKI\nfl5YHvVGDjRZ1dEoA3g2Fbe2KxfSlFvfUsoWDs0erovMevToAQBoamqKK29sbETPnj1taSiluOuu\nu/DUU0/hqaeewjnnnJOVzGx7SKWmSeyROeYTCvGl68ZCDkUBNL63jPj8QAo+TFV5dv1wu2N97WjK\nad/EMikQ4Pbw+VLXW1PBotGs6l1IfQkh/PQDnw/E5y+p7ELwce1z4LK2mK9sAXu4zpkNGzYMgUAA\nmzZtiivfsGEDTjzxRFuae+65Bx999BGWL1/uKCJLBWsEYC3LhSYdXbY06crT8SGE8L1k/gB/EGSZ\nR2aU8uFGm8gHAIhE+NCkZf9WJn2J8XspdZOKi7AoBevoAO0Ig0YjYB1hUFXhDjESsY3K0vGx0qSS\nDUkGsSxmSfw9IRLfL2U59Tnbe2vH11F7iET44hUAJBBMmst0zCcHfZ3yyYXGDc9BoWjsdCikfbPV\nVyAernNm1dXVmDx5MhYvXoy6ujqEw2EsXboUu3btwpQpU7B582aMHz8eu3fvBgD885//xOuvv46l\nS5fi0EMPzUmmk+ECQohtWTo+udA4lZ2pDrayZRmQ9Be5Rs0IJYlGkrkTDIacyzY2YaegSap3uB2M\navyMNUXhm7QjER4d6fN6juzbEeZ8GE1Z73S2irOvJIHIPrMOGWXneZ9Mmo4OXm/9nhSjXRVUX68/\nBx63lYA9XDlnNmvWLMyfPx9XXHEF2traMHToUCxZsgT9+vXDzp07UVdXB0XPPPDss8+itbXVdmhx\n1apV6NevX0o51h66XSOz68FnKsuXxmjMTmjsaDPKZvoCA+JMt0Lpm1QWUwHM+A/T/auNk00cgkmu\nTzJN3raylFlRcFsl3JNMfHKRnQ1NvrbyxHNQJn0LIVvAHoTZdTE6CUpSdUrTDr2VGkzTAGM4KxhK\nOkCzKLCxAYtGANXY86V7MgtIRWWcg5ozZw7mzJmTxNrIDRhHY5VHNTMdl1vBVAWI8u0SRN8uISCQ\nCtk4tX37WouoSenRq1d1ymuujMxKBWtvyklPy8l185NSPgdCKeD3QwoEc+KTiGz1ZYyPtUv6HIzk\n84HJVTxbvr7XqpD1jitToqDRKAi4oyGWuSgpGAL1abEySiHJMk9wDJgJkK02sJMjBYKg+mIJQgho\ne5se6sWiP0M2Y8yU48RWudY7WxrJHwDz+Xl5FrJzbQ+F4FMO2fk8BweTrQTs0amdmdEwEj8zlTmi\nIQQkVAFGNRAp/6zu6fROVUaVqNnjZwkbpK3Z8gtab2uZzw/J5+d7vIjNXIA1QbAkxW3oTtQ3nRzT\nERkbjiUJUqiCj9pRLpsaESljoIEgiM/n2FZZ1ztHGmKxUTHlFIpPOWRb4QV9iyFbwB6dejzD6M1b\nv9uVGd+dlsV9t9n8mommULLNjOb6KsNCys6KRt+knJGPmoe+lPJoE4Ckr94khJibj6HyfI0A+NL3\nVLYi9rLt2kZRbFVgPl6TLfR1ViaQjJSRmbFaMBf07ds3Z9pSIlPPJ5eyUtE44kP0nr7+ki+Gvul6\nzznVm19I0jeTHAbEFpToPOJB9HL+LfmyERUly06Hst3bItOUU3Y2NOWUXdTnIE2ZcGj2SOnMxo0b\nl7XRGOPzDZ9++mneipUShJCkxmMtM77blaXjU0gaQghfxs4YjzL0vH1p+YRCQLgDjPG9WAg5oMlS\n34LaKlQBRCNGQdIJLGn1lSQQ47BOC6V53e+PDTtSZm5RiJMdiXAnmK3sbOroxnZVJtle0zcbPsXU\nV8AeaefMfvvb36Jbt26OmTU1NWH69Ol5K1UqJDYUw3nblaXjkYomVSPMlibumqbF8gxm4EOIBBbw\ng6SgYYyfqkxkOWkOKRd9CdEXvihRwB8AEmyXUV9JMp209WXgVB/i88VWZ2oq3xyun5AtSRIQDMa9\nLOJtRQD9pGS76+lk52qrdChFu7L+xqm+hZSd63NQDtnW37jl3grEI60zO+GEE8z0Uk6wf/9+Txnb\n0DXxM1NZOWgA8E3PsgwEAo75ENkHyD7734XDYGBgjK/wy1dfqqlARwcf8pNkQE+jVXL7RiOxY1T8\nzm1VENllbCOdQV8r3KpvsWUL2CPlApA333wT3bt3N/9PKcWuXbvifvPZZ59BVWPnQ3Xv3h1vvvlm\nEdQsDhInWa1/dtedlpWKJn8+fH6IkOQj73OSw2DOXTGHGfmLUkd9jrCQsu3ahrvvrTdle1HfcsgW\nSEZKZ9avXz/TcLt378ZFF12Ehx9+OO43c+fOxaRJk7Bnzx7OTJLSZtxwGxiLX1hg/bO77rSsVDR5\n85EkPjdkc5J0TnIIiW1/1tTy2coYamQMSEObjWy7tlGUe1JqW7lMthf1LYdsgWQ4Wpr/61//Gl26\ndME111wTVz5v3jzU1tbigQceKIpyxYZXeo52vb985RBCQEIVIMFgXC7CfPSVZBmksoon8zWSG6eh\nYVGeZZ+1x2epN/5YJALW3sazhWRRbykQBKmoAIIhcy+bW++trV0iEbD2drBI+nq7Rd9S8SnGc+BF\nWwnYw9Gm6ffeew9PPPEEhgwZElc+aNAg3HnnnUlOziuw6/mkupbN9WLwSae39TullG88VlUwfwDE\n70/Lk8j281r56EtSzJUl0pBAkB8dE40A7W1x+gIACQbBFInPFWZVb/2kANkb9zbJLkFuF+gvL7fr\nW0o+VnhB32LIFrCHo8gsEomk7BX4/X5E9B6kF5HYG8pUlgtNofg4otG02OIH3Qm4Wl/rMnp9M7P1\nd8TvT9rEbMuH0li9pdzqnQtNsWxFfD6+ytQj+rpdttf0zcRHIBmOnNlJJ52ExYsXo6WlJa587969\nmDdvHkaNGlUU5Q4mlKsRerHxe81WXtO3nBC2cg4v6lxOOBpmvOOOO/CDH/wAp5xyCg477DBUVVWh\npaUFO3fuRE1NDZ5++uli61k0HHRDFbLMhw41FUxTUx6wma9spu9bQ5ol/c709YHIlOurqoBlmDEt\nH8Y3NjNF4TSSxIc3VX4empFEudD1dhON0Ncbsgutr3By9nDkzI488kisXLkSL7zwAj7++GO0tLRg\n4MCBuPLKK3HppZeiS5cuxdazKCCkeFnzC8nHikw0kiQBoVDWchilYNEIPxYGSKkvALD2Nq6MJAFy\nRV51tNM3sa5294tSChZu56snCYHk9wPBEFig+PeEMQamqubcYCHaSKlovCzbrm24Wd9iyRawh+Os\n+bW1tbj22muLqUvJkdgLKldPy0lZOr3zlUOjUbDmBoAxoLobz/afirYjzGe59Mz0hayjXX1t9VVV\n80w2BAJJ2UuKeU/iNoaDAfrRLaWQ7Za2eLA+B16xlYA9HGfND4fD+Mtf/oK7774b06ZNw969e0Ep\nxfvvv19M/YoKQtyxATJXmoLxURXzYSGBYHoapm+0tllcUjJbMRo7q0y2yYBfBNnmH7UkNXYou5z3\n1muyvahvOWQLJMNRZLZjxw788Ic/xDfffIPDDz8cO3bsQCQSQV1dHaZOnYrf//73OPPMM4uta8GR\nS1Tgld5bVjSSFL/Z2WaejTHLJk4AJIFXsfWN+w5i6ksYK5mtAIARWGRTMEbS0pT93npQthf1LaVs\n4dDs4Sgye+CBB9CnTx+88cYbWLVqFQJ6bsBBgwZh2rRp+OMf/1hUJYuNdL2hxOtOaJzwyYWmWLKl\nUAVIt1oQnx80EjEXd9jyrqziy8Z9Pr4cXlH4Bl/jhOhS6Ov38w3fPh+Qh61yoZF8VtmSI5qsZSsK\nP2hUPyw0Z1upKlikg594nme9c6Ep9HOQGJm49Rkstq0E7OHImb333nu44447bM8pmzhxIj777LOC\nK1YOWCOAfGic8MmFxqnsnGj8AUjdavjwYTTCs1DY8CKE8M3ORAJTFZ4hHwyIdPCMHmnk28mmlPI5\nu44wqKpwuRbZKfWVJJAAz3LPspTNKD8SJxcaGonwtF2BYNxJ2Un6Zah3Wsgyd5QJL69MfJKuS5It\nn0xw63OQrrxQz0Eh6p0LTS62cgL17ZVZ03gVjoYZJUlKuWJRURTP9xicDBcQkv7cITs+udA4lV1o\nfQkhIJIPDBEwygASS9ZrS6PqS+kZwPg/AGEpaVLy0TSeuQMw0zeBkPSyrfXuCMecm1OacDsfUiWy\nc311GmuEULR7K0kg+nE0dnwcy5YkEH0UpZj6HkzPQbH1LYRsAXs4isyOPvpoPPLII7bXli1bhqFD\nhxZUqVIhMbRPHMqwC+0zleVL45RPKtq89WW8I0+QgcYsBwDCaRL6NI5kc5G6bBaX7d6RrRzSJJUh\nfR1t+Zj/ZFlHt9xbD8j2mq2y1bdQsgWS4Sgyu/7663HjjTdi48aNGDt2LFRVxeLFi7Ft2zZ89tln\neOyxx4qtZ1GQbU8rm7JS0TjmQ6m5sCMtjd8HKArPpM9iJy4n/o7JMoiqOxOJf0JLT2PLR09VZV4H\nQChN4pOyvn4/1zcb2T4/X8GpaSBJdmGAqoEl5JeEsSFb1UD8uhwLrVP7MkpjG9kZBUNqGk+0K5fQ\ndCZ9hUOzh6PI7Mwzz8STTz6Jww8/HKtXrwalFP/5z3/Qs2dPPPXUUzj55JOLrWdRkKl3Z1eWC02+\nfKx/WctWFND2NrCOsCMaKRAEQhVARWVcxnkgNuQB6BnyKyqBUAWkyiqgooIvDsmQpd6OD0IhM7oi\nPn9aPoxR8/4xSrm+FZVJNGA8SwkhxFycwmVTSMEgeFzG4uzC2tug1e8DbdzPnbTVLsEQQHSacDto\nuJ3P87W18cz+GewLSkE7wkBHmN+P9jawsLN74qa2WC7Z+s3zjL7FlC1gD8ebpkePHo3Ro0cXU5eS\nI7HH49aeWCa905b5/Tw7RsKZZaloaDQam8OqqAQIidukzEIhQIqliiKSpDsnKSVP4zvVVCASARgD\nDQZBZF+MtrKKp6GSUmfIp5EOHh0BgO6waCAA4os/GUBrbwPdt4c7tB69QCRZj9gIAAZK+Cdj4EfF\n6LSksgpyRaWZsT6xDqSikkegjPF6a5p5Qjd0h5nSvvom86xoHJTlQuO1iIRSytsfpWA+X2zhj0v1\nLbZsAXs43jS9efPmuETDL7zwAu699168/vrrRVGsFLDr+ZSrJ1b0nqMkO6NRFG4cSeaRiLVML89Z\nX0XlzgCw3exM0vAGAFhONWc0NR/a1MAdBSGA6WQB6C7NpPX5QBIy8hNJAvH7U7YLIklmFn8jqz23\nr5Sy3nHfHdJkdW8LTFNO2bbXKY1t/fD53a9vCfgIJMORM3v11VcxZcoUfPnllwCARx99FLNnz8aG\nDRtw++2344UXXiimjkUDY8kbbq1lidedlJWKpmiyCX/lW4fzzLI8dIvnnT2f2Hfj/8n3zRSjn6Cd\nUjbR+cB5HRLbhtN6u+reulx2yuuAue7GyX0ou74l5OMEnWV5viNntmTJEkyfPh0jRowAYwxPPfUU\nrr/+eqxYsQK/+MUv8MwzzxRbz6KCkOSlr4k9IMbsk96WiiYbPozx+SIW6TCHF+NoGAOoBtbREfMs\nhuwQTxwMyvj+LcaAAB8SJJKk01KwaJRvmE7QLa4OlJp6MH2BBgAQWTKH2BL1ZUoULNIB2tIEpql8\nz5lxTlmoAlwU90ZM03gUZtnkzTQNpGsN/63fz68RwvX3+UBkvj+NyBKfNbPKjkZisl16bwstO5HG\nlc+BsVWB8DlL1+tbZNkC9nDkzOrq6nDhhRcCALZs2YKGhgZ897vfBQCMHTsWX331VfE0LCISG5Jd\nGJ8ptC8mjd0wgyMapi9s0DSwCHc6lGr8RGdj829LMz8iBhbHE43wLrA/YGb4APg+QykU4g5Cnyvi\nqx1pSn0YY1Ab6qHu3QOm6geGMsaHiUIV8bkdNQW0udHMJkLbDwCRDtDmJjAlwveSKVEw0w7gKwIl\niaffMuYDKeX1phRSZRWkyi78SJxQBaRQCFIwFMveIcuxLCa6raAq3AbWzBuaxh234YhT3Fvj1AHY\nvNTS3dtUcGNbLJdsSZJAfH5IlVXmMKOb9S2VbIF4OFoA4vfHMoOvW7cORxxxBPr16weAb5qmlKYj\ndy2sYb71M1NZqWhS9cjS0RiLNZgxR8QooERBFH2Yrb0NUKJgAOSuNQCRQFUFiET4cI4ewcDnS+Jt\nfCd+v+25Y9bfqTu/Am1pAmQZ0qF94s5Vi9M30gHW3KjLlgGfD4RK+jJ4BURVeF9ciYK1HwCIBEgy\npBA/qgZVXQDoS947wrze0QiYqgCEQO5WCyT0blm4XR++UviSEAaQYJBHbmBANX9p0GiEn5cG8Don\n8jHqbcgGQIgE5o9fkOK2dpULjVtkW+EFfYtBI2APR5HZMcccg2effRabN2/GX/7yF5x77rnmtbfe\negtHHnlkQZUKh8OYM2cOxo0bh1GjRuHyyy/H2rVrU/6eMYZnnnkGI0eOxB133OFYjrW3Y3y3KzO+\nOy0rFY0tH30miOjDcYQg9sIGzGiLALGFDMwyL2GU5akvjfAhTGN1YkpaSpNkAzDLTL11rQmQtGWA\nEClWB8KdCzGu2+nN9I3WBn8CcyGIsSqT6xb7HUlnF6u+Nr8r2L0tZ7tyMU259S2HbIFkOHJmt9xy\nC5YtW4bLLrsMoVAI11xzDQDgX//6Fx588EFcddVVBVVq7ty52LhxI5YuXYp169Zh0qRJmDZtGrZt\n25b022g0iquuugqrV69G7969s5LDWPIkrF2Z8d1pWalobPmQWAZ8a7snBPo5ZHKsUFPjaRjj81RW\nnsYGZkbT6JFsN6m6K49kNBVIRyv7YllAVI2XGQ6CsTha6Ee/JG4zYLoj43rCHMIEpdxZJsomkjnz\nYtpF05J1MxaSAHxeLZX9jQ6D1abFuLflbFcupim3vuWQLZAMR8OMo0ePxpo1a7Bt2zYcffTRqND3\n5gwcOBB/+tOfcPrppxdMoebmZqxcuRKLFi0yI74pU6bg+eefx/PPP49Zs2bF/b6jowOnnXYafvSj\nH+H73/9+VrIIOQhPmpZlsMoqwDgJWX+ZE1kG2tuAQAAsEOD/l308M7sWW/KOaBQM+snNANR934CF\n20Cqu0Gu6W7ZV8YXW1AlCqJpPCIBAEpBKqvgP7QvaNcaME3l2fg7YotRGJFAqE7DGFBRCYTbASWi\n68IfWNrSAhbtAKnsAsg8Sz0x5vMYM3WnHWE+76VEIfc7AqSK159RzRzejNOXUb783sh8r6p8eNNi\nV9rRAWgajwJ9/jg+STaX4m1eqnZVjrZo992wFXyyeR5euZ8Dt9qqEHxygbGi0XfWRTnRewGON03X\n19ejpaXFdGQA8OGHH+KEE04oqEKffPIJFEXB8OHD48pHjBiBjz76KOn3Xbt2xfXXX5+TLLueT6pr\nTq47/Z3T66karhMa4vPxl7m+SZnJls3IhAAaBW1qgLpnFxAMwd/vCEiBAF8BGY2ARiM8aqqo5PNe\nXap5pKXzp5oG1trMfwsCFm7jc1ndaoH2NjB/gC+2AKA2N4I11gOBEEjAzw+4DIUAJoNSCm3PLtDm\nRkg1tZD8PDEuQhWQqquhtUtg7W2grS3QGuvBDrSAVHWB3PNQgDGAMZ5MV5b5/FY0AqpEAX0hCLrV\ngvh8fF7XWAAjSTE5hq1UBbSlGQDjx+EEg3zhh6qARCM8QlVVMAJ94YnGOwWWk6ZJQgqsdPeJUj6X\nCVXltkqYZ+MbhSO8A5CwUT2RN4tG+eIV2ReXoDibtua0Xdl9J8EgmKLwVapFlm3H383PbTFkC9jD\n0TDjBx98gEsuuQQrVqyIK3/llVcwadIkbNy4sWAKNTQ0AABqamriymtra1FfX18wOQYSx6UzlaW7\nntiLtOtROpWTrWzbMv0oFcZgnlEGgDs3RqHu2g5oGl/lZ2wUNrNSgEdVksSPhvEH4uWE2/nqPQCs\nrZXTGSsMYRnqU1WwBp4eClQDNAqAmZuvaUsTaHMDwGhsqbw+N0CM1YqMAoyCNjfqy/C5nkZtiSTz\n1W4VlbygvY0vAGHMjJSgRM25NMnYfmC9d63G6k6YG7FhfZmoCmAMpxpbAYzf5XKfqBbbcmBzajfX\nV79nlg3viTzBKKDqm9otfFK1xYK0K5vrxO839Sy1bKc0qfiUU99c3xkCyXDkzBYuXIiJEyfivvvu\niytfsmQJJk+ejPnz5xdFuUS44UbmogMh5Zu4JdDnztL17GwfoAw0tmAxmjhaYvlIz5PEfh1PmxEk\nuR5Zmpw4IWIsyS5lu7eEJGX+L6XsUtLli1yfQa/p25nhyJlt3boV1113nXnCtAFCCK666ip8/vnn\nBVOoR48eAICmpqa48sbGRvTs2bNgcgxkO1zAI53S0CSWZU1j5rBL4KM/KNKhfQFJ4klzVSUlDWtv\n0/dzUXOjNAJ8EyujFFqUb2ymzU1Qdu8AoxRqw/7Y3jB9GT1TeLQEEnM8UnUNSHUNAJ5EmOkJedV9\ne8AYg1TZRV8WL0Gq6WEO8RlDnrGN25ZosIInHWaUgh5o4fpaMtrTjo5kW4Uq+fwZo+ZiD/j9MFc3\nmgtnYi8Yptos9oiEzcUk6e+ThY/G9+AxSmP3wec3V20acuz4MEL4nB5guzDGSbvJhcZTz8FBqK9A\nMhzNmVVUVOCbb77B4YcfnnRtz549CBl7fgqAYcOGIRAIYNOmTTj//PPN8g0bNuDss88umBzg4FwA\nYi2TfD5QjR9dQkD4ggtjONAfgFxRCSlYARCYGT2kyipQAkBP+ss62gF94QR8fPEFjUa4HCJBbdwL\n1tqMyP5vuNMDAE3l+fQ6wpCquoBIEqhmWYxR0wOQZdCmBhBJhq9vf7CqKpBAEMru7dD27gFUBb5D\n+0LyE0h9DoPc8xD4+x0G1rsvf8nrjoooEZBAgM/tEQKmqrzeqgJ2oBlgDFo0aianNV74tCPM581k\nGcyMXaYAACAASURBVCzSwReidO0G+HyQ9ATIkiyDhUJ8eFKWwaIREH2Yk1RU8mFSTTVtQRv2cUcb\nrAAqqyDp+zMT7xON6ItLAJ5dxefjjl/h+94g+7jsYEy20V4T2xAAPmcVCJSkLRbiOWCMgeWwWCbX\n56Bcz22xZAvYw5Ez+9a3voW7774bd9xxB4YNG4aqqiq0tLTgww8/xPz58/Gtb32rYApVV1dj8uTJ\nWLx4MQYPHozevXvjueeew65duzBlyhRs3rwZM2bMwOOPP46+ffvmJSux51PsnlY+fNLpnaqMRiJ8\npR4DSCV/+TJV4QsGOsKAEUVoemorAjD95QoQvkIvWMHnb5QooIUBiUcwjDGQUAX8/QdA+X+f8vmq\nLl3h79Ofv4y71kDu3hOMMSj/byugKCAVVSBV1WDRCLRvdoOF22ORmq625A+C9DsCvr6H83k8vx8k\nqEd2+qIOJkk8q0e3Wp4dRNP4akhwNtq+PaCN9QBj/GgYQvj5ayG+eMl4NVJZhtS9J0gwxFNZqSqI\nqsZOC1CiZjYQhCpiDtG0ryWLP8BtBQYGwheNyJJpK+t9IoFgbKN1NMIXpujKk4oKXbYSK0+zACSb\n9lDoNp0LDTU3tzPescgyA74VXnhuiyE7H9jlaTxYVjg6cmYzZszAj3/8Y0ybNi2ul8QYw6mnnooZ\nM2YUVKlZs2Zh/vz5uOKKK9DW1oahQ4diyZIl6NevH3bu3Im6ujooemaGl156CXfffTcAno1k06ZN\neOWVVwAAq1atMjOV2CFVTzexzIu9N0KIZUGDZA4tMj0iYICZ0xBU469ghlimjoQl7eZ8EpHi5UgS\naGszn+sKBs1FAFJ1Vz7UF+kAVH3BhOWMNDOKM/joOhHwM9WIX88FaV1kYWSasWzEZpRa9OF+kbYd\niP3HgCTHktXqcojPzx2IZKkjsdoqltnGHMKMs69mKTMifcs8S6KtrPeMMVBdD0NVIhFz47i5+MPQ\n3U3tKh8aSkH1+229t67V1wFNYrsotmwBezhyZl26dMGTTz6Jjz/+GFu2bEFrayu6d++OYcOGYciQ\nIQVXKhAIYPbs2Zg9e3bStTFjxsTN0V1yySW45JJLcpKTqefj5d4bY0yPCniCX2Itg/Gi5PlC4jZa\nMwrGpBgNwDcPUw2AhY8hR9MAn59He9EowPQVf9EImL43DHpWEmau0CN8eM+SfJgRYjpMSjXI+spG\n8/gPS30J47owZujGVzvyeTeA+P38IExKeWYQxkA0FYzqzd0Y6qIaZP07dMcIUIutSGwztnGkTJx9\nY1sVdP8Udx+SbGWpA0u4zhgS7pP+MgPM7CZ5t4c8ywpBY9YbgGTZ0O5WfZ3SlFK2cGr2cOTMHn74\nYVxzzTUYNmwYhg0bVmydSo50vaHE63ZliTRO+ORCk4kPVRQebTHK93iFQuZBm2Zd9Q3TTFOBHr2A\nhn18zoZU8CXeRNI3VOvRj+wDutYAHe1x55oRQqB8vQuRze/jwCvLEBpxIs8e0t6O0MlnQf33KgSP\nGwNfn/7cGYTboDbVgzY3Qu7Riw8X6hulGQh8fQ+H1K0WWlM9SDQKrWEfiD8AdqAVUnVXPjzafgAM\n/ABREghA7nkoSKgCtKmRz+0pCpgShbbva36acyQCrWEf/AOO5nkiJQlS125Q6r5Axanfghys4FGc\npoG2NPEhyWCI6+Xz87k/8BcvC7fHR5aMD7Oa9pV9IB1hALH7xNrbkmms9ymh/cEqxx/gEaimmo6t\nXO2qkM8BkSS+ST4aNduYU9kG3PwMluKdIWAPR87s2WefxcSJE1FdXV1sfcqKXBpKpt6ZU7pCyDay\nc0AfHSOEAMbmYCOru8yTCBOZZ2qg3brzLBuU8pOQD7SaGS+Iz9iEy/iQmx6dSMEQqKpA3fc1tH17\ncKAjgtf/8iyqu1TjhL6HoGnTe6g6+v+g7tsLqbIKoVEnAx3toIxB2/kllB3bIB/SB2g7AMYopFCl\nuQBCkn1gAUDbuweRrZvh7z8A/iHDuf6qAq2pib/cZRn0QCvknoeCHWjhm5sBPqwJwue3ZB/Q2gSm\nREEpBd37NbDzS5BQBT9JINLB62hkCjFXDyo8W4oscwcny3xurrmR20aWgEgEJFQJ2toMEAK5e08g\nFOKLOCQ+V4ZoBKyjg8+dgfDhXH+AZ1lhDMQnQ/L5ue76YaicJpx0nxhjcS+1UrarXGlS8SGSBASD\ncS9tJ7JT1T+V7HS2yvW5LRZNLu8MgXg4cmbTp0/HggULcMcdd2DAgAFFVqn0cDJckPjgOWmQdjTZ\n8smKRpLikvCavX190h0AICf08PVFFgYNDfEl+PwMqRAIIdCam7iTIARyZRUAQNu+DaxxP3x9D8NL\nn36BAy0t6N3agjb1AGQAardakEiYO8ihwwBJ5lFQezsYGKRQBZcRCIF06coz/bc0cifV2oLw+n/z\no1yOPR5ydVeASNAa6mN1VxWwCGKbtaEPXekbp43l9YGKSjAG4EAL314AoOLEU80N2YRwxydZnL5h\nK1JZaS76YO1tZvZ+gA+Vac1NYIzqURQBIbI5nxdne+OoHAaAdvDvFvtCTqDRKIhs3xtP1R6K2q7y\nlO01fYspOx0N4MxWAvZw5MxeeOEFNDY24oILLkAoFEJVVVXcdUII/vOf/xRFwWIim8ncVDR2QwTp\naNLJTsWzILJjBelpmE5DLFsQLdk2TJ6qwssJQaSjA4xSyCw2tyP5fHy5uyRxnjof6PNuIEYGfGJl\nzK/px7cAAAlWmA4ajCUt4oDlkzEWPyTHLCcIaLG5QyNzh/EbKw0jFt6WBRxxcswSFsvib1HIanOD\nPOmeWettpy8y3Ce4pF05kO01fbORXQ59C410J1F7aaWjI2c2ePDgYutRFjjuNTEKBiklTSo+6a6n\no2GWaCMnPhanwpi+sVbfmwVNBUtzVhlkfZ6GajE+vgDfYwXwITjZB6l7L774QtNw0pln4f/75+uo\njygIKxqq/TIijfU8igu3Q2tpglzTHXJlJbRoFMZiDQBg0Sjf+ybLPL2T3w9S3RVS11rQxv2IfvEJ\n/P0OBxjlw4L+AB+uYwB8PrBwO6SKCr5KLtLBD+QEwKjGN3QfaIVUUQkpGIKmaSCyD+re3fD17g+m\nRCFTzTz0k9uC8GXwVONLyIMh7l30MgKAEAmMUT7kqET5YhclypeZUw3MyMpPjEUlFvsaWws0i331\nMgbwyI5qeh31e6Nfz7dd5VvmZprOpG+xnJrX4ciZPfDAAymvKYqC3bt3F0yhUiJxkjaxt0TDYXOT\nrbFfyXrdSe8sU08sTgeqgUYifAWfPwApIeOKLQ3jq/Ik2ZdSXwAgFZX8EM6E/HnUWNrOGB9KpPwl\nTfRNuMqu7UA0AlLVBajpDskfQMfmD0Ab9vM9XQ31GHvSScC+Pfjmi8/xeVMrzhp1PORgBUh1Nfx9\njgBtrIfvkL6A3w9fbS9IoQrIVV2g1O/VT3KOgNTUQvL5oYXDgKaiYuQYRD7fAsgyDrz+IiJbPkR7\nN8B35GDduUiQu/eCJBFEvvkaWuN+QFEQGDoCks8HZc9uKDvrwJqbQDUNtLEe8iF9UHn2BTw5cDQK\nKRiE1rAfUrdaSPoGZcYYpIpK7rQlGbSxHlp7G4iqQDqkD98HRhnQuB8kEAA1kgs3N4L6fCCqyp1c\nMBQXgTJN0zdnU5Cqar4IghBz7xxkHxAIQKqoMO8TjPbAGBAMQbIkMi52WywGTb580j0HbtS3WLIF\n7EFYntb57LPPcOWVV+KDDz4olE4lg+OqJ0RKxQbTtLh9TSl/pypgzU08W0fXGr65mOkLBRJ78tEI\nH2qT5dgmZD3bOp+/0TOB6LIZY3weS38JQ1X4A+Xz8xWDLU2IfPQBX7wQDELq0hXRlibsX/4MqiRA\n7tUbwf87DpBlBAYOgdzzEM4r2sFf8j6fvuGYLyghsgwa7QBr4fNQ6v79fA4tEAQJBPHA317EzPPP\niu25IoRHeIEQEO0AVRVE//spWGsLAscMQ+j4k8AoRfTzT/jKTZ8fwaEjIFV1gVRZBamqGkxToW6v\nAwu3QTqkD+QqvsBJ6nEIJIkAxlGnjEesJFTJkxqHeLSmNdbzRSEASE0P8zRqqaKCD9Pq9uY2DIPP\nmWlmHcysJUZ2fgBGSi3oG8OzaQ8CnQPZRGZfL3suL1luG2bs1Sv1IkRHkVkkEsGiRYvwzjvvoLGx\nMe5aU1MTevXqlZ+GZYJdz8dAXG/I2Mhaot4bZGebZPleKj0SMxYT6FFWHA2lsQ2+ciyFkJltXZLB\n8/RaZFMtLmqDIVt3arRhv7mAQu5aw7PrtzShi98HaCr8RwwCkWWQYAXkHj25TH2pO+ej6vNXcmwB\nR2sLd8YdHWCtem5O45w0QiwvdN1hA6ZzZAcOgLXxjdi+/keYCzzAeB18fftD7qI7q6pqXoe2Azwy\nAvQN1Ey3jyklJrtCnye2bkA/0MrL9LPRCCF8lZ6xCMS0JeVZQQjADGcsyzE+5qZ06JvAEb9Z3GF7\nOBgiEqFvdhGqQAyOwo1Fixbh73//O44++mg0NTXhhBNOwDHHHIPm5mZMmDABjz/+eLH1LAoYiz+5\nNdP/nZSVigYA79UDllOWU9DEFyTJNlfbxcmJLXiA7s/i+OgvY5MnEEt4C/DVhgyxTdJ2+iIBhpO1\nRsHUOEVaFwXEbaIGMzZPk1g99PPHGKSY0vrma8ZiNuBBF41dT7SfxVbmNcpisiW9PhZnH7OfpR0l\n1THGwrSvwce6vKRc7crUJXuacupbDtnl0lcgGY4is9WrV+M3v/kNTj/9dIwcORK33347DjvsMOzc\nuRM//vGP0dzcXGw9iwozUtFh7Q2lKku87oRP3HX9hcxUFSQYAIzNtnpmen4+VHxEmMiHVHbhL9do\nB2h7G6TKqlgEZaHh+3pCYJEOPrQIxocS9aiLqSpAIvoQokV2MAR6oJVvUiYERPbzRRcdYciH9AEN\nh0Eb9oNUdQVrb4XUvSf8w0+A+tkWvvm5aw0I9UH58v8hMHAw17e1GfRAC7T6vfD1HwD4CM+4334A\n0br/Qq7twc9OC1WCtrWCHWiGpmpQW5ux9+3V6D5sJGhjPZiqwtenH5Rt/wXp0x9aezvCe/egsnc/\ndHyyCSG/ny8G0U+l1pqbgIoqSMEQwnX/hdyrD5RdX6Lj083ocvKZUHbUwd//CC63uRFSdTduF8oz\n9GsN+yD1ONQ8hNTf9zBItT14hMoYWEd77H4Q494qfJ+fmYZL4hGgvlrTvJ+hCr7YxFg1SngGFvNs\nOSXKkz6rCpimQepSbUZ0jFI9uXF83shitN+iPAdZ0pRTtltsVUqkW+mYCaUeonTkzPbu3WuuaJRl\nGVE9+Wr//v0xY8YMPPDAA/jrX/9aPC2LhMSGYg3t05Ul8siFhkE/5FFTARbgS9QZ5fM7+opDSedD\nLJ9WnpIkgVV14ac260ehSFLyqksAfHgMuq9TFNBoFKAU6je7IFVVQ+5WyzNTAGAK31zNAEQ/38IX\nSHTpCibxTb6QoiCEb6qm4Xb4fD50fPEZCKOQu/cC7dELJBiC8tU2IBhEKBiCWr8Xvh6HgBGAtjaD\ntrXyQzKDISi7d6D9X6/y/1dU8Y3T0Qgin2yC79C++OKTj/HV5o1oPqI7Gr6sQ9fKSkQY8NU7/8Gx\nPWrQunkjmKbBL0tok/2oDYbQ+u9/QmFAr0FHgzY1wt/vMGg7vkS0YR9IRSU6tm7mGfqbm6AedQyk\nyi58IY3PBxaNQmtuAvH7oDU3gbY0Av4glA3rIdfUwteHr4T09egFqbqGD58yyufAALAwzz4Cf8Cc\nAyP6KdCEEDAjW7y+kZ34A3yVpqbyEw5CIZ7zUony1Z4APwZGVfRh5WreS9cjUJLQTpy26VxoCv0c\nZCM71XPgVn2LLVsgHo6cWXV1Nb755hsceuih6N69O7Zt24ZBgwYBAA477DD897//LaqSxYI1zLd+\nZiorCI0kgwRkQF+xyBgDiMRfav5AEm1KvSUJRLKnif2OAuGwObxnXItufp8PB3arhVTd7f9n7z2D\nLMuqe8/f3sdcm/emz6zKMl1V7b2hsd1PNNJ7PMUgIRB6w4cHIzMaOhQ4SQEKnhBq+CLBSBMTohUx\nSCPiSSMRyGBbPBiQQwymaU/T1d1UdZc3WWlvXnvc3vNhnXPuzaqsqqzscg21Iiry1j5nm7PPPnvt\n5f5LOF2vK16VvS7hDx+X+7WW4OEohFIZVa4Q7t9L+2tfAGvpPfr/ASJh2a7YrXov/AjT66AKJYq7\nric5fhTbaaPHJnCmNlO44VbQDtGRg7S/+nkwCf6dr8HdtIWk2aD1lb+HJOF7Dz/MU/PLzAUx+9oB\nXjfiufll9gcxVimSVpO67/Zd4Nt7md37I7HXaYfysYM4jkt87BDe5q2gxH7mTm2msONaksYiptOm\ncP0tuGNTIq2m+d2ShVnM8iJY6D7+DYhjzMQUztgkZn4WU6mK/c3zRCoGTKsJXQmwdurDrIrXG3gn\nJomh15O4Mu2kaB9OjiJvwlDm24Iqi0OJsrYveaexfaTpaM77+ryM6qzrO7hMx3sh6lyhtWldNrN7\n772XD3zgA8zOznL33XfziU98gu9+97s8++yz/Mmf/EmeUPPlRkqpVae9wX9rXV9v2cWqs+52LKuD\njLP7IgEGVn6xXydTdYUBmbFMFUv9OulfszTfj0fLJMwkzuvYWPAHldt32sDz0zgtJQ4OWmNXlnOn\nFT08IurPTjuPi1vshcRpckoH+ai7xmCQdCJFZyCWS6WxdEri33QaF4ZJRL0H+fMK5JQwEkWaJNRx\nUKnNSpxLwpT5W5kPk+SMA5B2lFqFupI51chc6XW9k8zBaNV9qS1PKfrtDPZjzaqg80uyri6TOpd6\nvJei7yt0Kq2LmX3gAx9gamoKYwzvete76PV6/Oqv/ipvfetb+epXv8p73vOeCz3OC0LWnmqEXass\n+73esotVZ93tKNVHwM/KjJFYJxSm0wKyYG1hDsrzybZb02pKnTjK83450zPiBZkm+kSlzhAmEXf7\nokgTptvDpOow02nlMFM2CrFJjB4ZzcF0k2OHxYaY2p4Sa5kuFXKPwjBlAKUUgzIB5sOEKH+wzPtS\nGIExhiQRV3gbBMIZlMrHAeJhaYH4xDEZW8rObJKA5+fB1yq1R5rGsjBrYzAry1I/C4A2Bnw/nV/b\nz86djsemjNFam0vJFuS+rH72DtMgamttnrl61bvNPDvNYNsXeV1dJnUu9XgvRd9X6FTaUJxZp9Ph\n4YcfJooibr755pecJPNSkrUvL1fcjfYD5DnETKeNaa6Ig0UY9O05xTK23cJ0W8LA2k302JRkn242\nSBZmSRbm8HZej1lZwjQbAg48Os7y175Ib98eTBgwfPvd6EKReGkB027hlMp4u67DdloSf3bTHShr\n6D3zFNHeZ0mWFnC37USXSoStFr0jBwkOvMBjKz32r7QoYfnOSsD/Nj3EwTChmSScCBO+0+jxYjfi\nv+0Y5+56EUcpjNKUfE9yhTkuZc+l/p9/AX/XdZigR/Sj3cI4l5dIThzD9LpU3vgL6FIJd3oLujYM\ncUTnu/9G9OKP0EN1vO27MJ2WYDhWqiKpao1ZWaZw2ytxJzdJmEK5mjuIZEHnFMSeiVbCpJME0+tI\nMtQoxJnZLlkLgl6aRSBEDdVFIkw3L6WUSLqxhBrosUkpS5mcdt0zrgexzYVyaPAL6BSL82Kt38vp\nO7iY472Qfa+XXmqc2UuhC+EAcqY4s9Mys3e+8508+OCD1Gq1dXfUaDR4z3vew1/91V+d+ygvAZ0r\nH7fGQBDIyd+ReCqcDFmefBGeC52pjrVWNsLUKy4DBN5IO7bbgXaTpNVk5XP/D/HRQ1T+48/hVCri\n6LH3eeIjByjcdjdOrZ56yJVwhkcxvS7BDx7Fdlp4u66jeOsriGeP0f3ev2HbLWJrWfrn/4GNQvxi\nkUKpgnfVLoqveC1ozfLXvkT38H4KU5sZuul2Sd9SHyF49gfYOKFw610UbriFo9/5d/75b/47Ngi4\n96otlGs1fnRiHru0yN/NrvDaWpFvNrp4WvNCN2JPJ2RLweW/TtcY9hymfJdukjBRLjNdr/YdaApF\n3O27iLodggMvMnTjbXilIqbbJVleRJcruDuuxZucFpWf6xG/+Dym20FVa+hSBV0soOuj4Di4U5tx\nhoaJ544JI3M9rE0zKHs+dNuQxLibt6OUxmJJluax7SbOlh3oLBgbUFqL16dfEEiu5rKkRymU0NUh\nkSbDIE1h46DHJtDliqS3mZ8FwJnanGYHP916EAnbhmEe2H0h6Xx/By+XvjdCGx3veulSMrON0pmY\n4IaCph955BHiOD6nQURRxCOPPHJOdS41rTrBpovqtGVhgE1tFXkAsKPP2s5a/a2r7yTJkSFORsNf\nbzuAMKa2BPi2vvFlor3PARZdlA00OnyA+MBeQan3PHm+QhFneASlFOGe3dh2Ezyf0p2vQWlNsnAC\n22yAtSz9y1exUYTjeviFojhz3Hg7eqhO0limc2gfJImg32MhCgl2PwWAt+taCjfdhnJc/vUfv0Sj\n1WakXKI2PIyjNVMkdBxR/f3Tsjix7O+E7OvJ2nzrRBVXQZgYWrHYyKqlwqoP3gY9OrufEpWjtbjF\nokijrof2ixDH6IIvatQ4lnADrXFGxnI7n66PopRC10dwhsdQWuNu2oqoKhMI0qwEqepR5Y4fFtNY\n7COFpKggOaVOHJkkRhDIfQNB1UlWt1hCl8oopYjnZ8Vl35P8dGdeD6mtJZUW11ojG1lXG1qLG/kO\nfgz6Pp/jvUJr02mZmbWWX/zFX8xdvddDxpiz3/RyJgsbWUonq/vOqcOXSEopsqBcIE/eKafz7Gns\nYIV+vXwYZvBSWmb71dK/g5eVzozV/bZlLKtnUA2MI3PkUEr1a60x54OrTK/xQtZ8RxmzYPDZ0sYt\nKLJM1zaXms5KSq01g2v0fYZyNXjDWfpd9WA2tyWeK50PSWQjm+rGv4OXThvt+ydxrl6udFpm9u53\nv/tijuOSUW5PGlg0py3zffFqsxJ0LF58BtxzbGe9fWtH1EdxvBozcbCOTbffKJKA5ijExnHuKp4F\n1iZBgHZd/OtvJtz7LLbbJTy0H3/rVbhTM5jFBZL5WeLFebzpGeh1SIzFGRnDv/oGSfMS9IiOH8Gb\n2owztRmKJWynRXnLNtoHXsRYk+/P3ce+R/meN6A8n+LYBL25E0SdNkVLzhyttUSH9qOmZvC2XsXm\nG26mdWKWIEkIUGhjabs+HSOM8+qSx95uxFVFH4PiSC9kKTKMeC6e5zJSG2K50WCh2aZc8HEcB6da\nJ1lZwqvWUElC0utgCiUcE4vtKzHYdlPm4qpdWGuJF+dxRkYxjQaqVEL5BbpPPkL1ljuJjx8BwN20\nNc8gYK0RxxXXhWoNlSYLjWeP4E7NCBRWu4mNQuL547gT0+m7MeC6mONHJFmp42DCAO0XhPFqCZ5W\nI+PY5QWxq6UqZ10fxSycwKYqSF0fEScX1xEV+JnWlbU5XqWNY1lXG1mfL6M6P059X5HO1qaXDDT8\ncqdBMf9yNSSfabw2SQShwyQky0sQideeM7VZApIP7SdZnEMpTfOLn0EPDYkTQ7WOchzc6Rk53Fsr\nXolhQNztQq8DcUzhtrslIDtDlHccomOHMSvLJMuLxAdfINr7HKbXS70SNe7Wq7C9Ls3FBZJ2i6rv\n4d1wK97EFKa5QnTwRXBcjDHoYpHQwnd/uJvDx45xx9bNXLtlBrdQ5Gvf/g6LYYzreXxjscudZYeS\nowkTg6Nga8Fls++wZWaGWm0IlGbPc89RUFAcn2RoyzZq9Tom6Ekwcm2YwjU34G7eKgy908ZaK7Fk\nSUI0NyuqU8CUq3jlCokxhL0u4bHDjPyHn8FJgYbL9/yMzFeQPjfgbNqC8osky4skc7MQBTibtqJ8\nXxw/2k2B2nJcdLmCKpSw7Sa22xGX/2IJwgD/ptvRpYownThC+QWJXwORxFJbrWk1sN1uyvgUulgW\nBl2SpKKm2xHGaBLi+RO40zNy6EliaTtbYwNZEs60Fm3KBNUAvufl8h1ciO/WpOriLIP7xXjG9baz\nXvpJspn9RDOzH6dHN8tLgtyRPZNSJHPHSeZmsb0ujb/9NGalgbNphuLtr0QphX/DbehqbUB9peT0\nn8SgNd6mLSjXI2mtCGwToEfGBFopicUjL0lY+du/IHzuaVShQOGm28FxeeGZH7LnB0+hsdy1aRLf\nk6Bg1xWX/067RRLFOOUKw7fdSWJh6fln6R07hALCxBInCaWhKuObNvN/PP0Cr/UMnSBgJTI83Q5Q\nSvGmmXFuGqkSG8OP5peIE5O/V8dxuP3Vr6FQKslzNSSTtTO9BV0o5HNlgfDoIaJjhwVpPwyxQHHb\nDoZf9wbZQHwfXSiC5+MOj0qQczprNg1cPiVTgZWYtwxwGSDc+yxmaR5VKFF65b0pxJWbZzIgk8hX\n6WxV/72m47VpULUxBrO0ANagK1WcsUm5J82SYFpNSaVjLcW7X4e3bRd5EL21KNfLHZjORFm2cgtp\ndvJT0xP9OJENA/EeVWpVbOHlQFeY2dp08fKaXIak1OURALnROqvKoqAfkJzaf5LGElhDsrIsJ/sk\nxp3clNfVQ3XxplOaPKtyCo+kC0XZ6LTGdjrZhMmpXGuURTZizyPat0cul6t5MPTxQ4cwxuBqjaPT\ndlGywVubJ+l0q1WR5hyHZHkBjWycxiRoLEP1YVytUSh6QYAGmokk1EysZWetjFaKXhSTmJSJpM4X\njuvi+eLAYSOBYJNAbneAkclcxUuLubRiLWAthS3bUY6Ddl2cchXluMIEHWdV3J4EYGcWt/7aytPV\n6L4zh2lIP7paRYK2taS50SIBCB4nq6xn9iRGpqAfnJ3ZQK0VhpptdLFIX6bZSNXhiag8lUJZm2a0\nVjna/1nX54AKeVWm7svtOzhfdeIke7lnrXMpnvsKnUrrgrP6caXT6aXPdP2y1cdn2ZFBHD6s8/Pi\nUAAAIABJREFURXlphuhikczpw7Rbck1rscVlG7tS4lKQqjiyzdJaKzm5rAGj+hu+XJQA6dqwuJ6n\n6jZroVypsLK0iMmlldQ7U2uBjFIqxUgOJNWM1uhCkaDbRTI5i2diHATYigQsu44mMZaio9HEGKVo\nhDFF18F1Bp4/DZ5OkjQIGSDN/qyUqOmsTgGAlcIqhfZ9kl4X5SggFMk2DRbPMksr5QzMFf22U9SU\nnNEMvh+EEWT3Kr+A7XVTwOdUnZRlu1Y6nX+pKeMeCHjP2kzvtTZZNQ6b4nPm9q+0P9mQDabdQhWK\nOQO3lhzwevW6soNFaZv9cShrsHZ9ma/XvX5fYp3z3rdWEvieeS+fpc7FfO4fd4Z2MrjxeuPVnAce\neOCBCzCelxWd6TR08vX11Dlf7ZyxThzLhmgSOSmXytDrycaUMiNVKGFWGtigh7d5Gybo4U1vFhzG\noqjelFYS/NxuiropiQWvMQiwywuYlRWiF54jWV7CtpsEzzyBMzqOba9IwkntULjpDuITx6R+sczC\nvj0Ex49SrlQZ37qViWuvp3n4IM1mk0a3SyOM+dHCMkeDiO8cPcE3XzxIkhj+4dkX0XFEmBgO9UK2\nDlXwtcLRiocXVnjrjs202m1mPM2Yq5mLEg63OsyUClQcRdV1cH2fHRNjYAxhGNA4dpR6pUTSWMKE\nEU6pLAC+QYBZnCeZO54688R5aEJhqI6341oqN92GOzqOdTS6XEXXR/CmNqHKVZLZo/LMmbNFt40e\nGRNA5igUW9hKQ6TAsCdqK2tRhYI4cQC21xUw49ljorrLctLFUcrsENVmoSiJUtPAZ10oQWUI02oI\nCkm7iR4ew6kMSUC0UhJPVijibdoqtjzHFbWx56cSWYrebxJhaMaIc1McYTstGa92pMxxRFXquGCR\nuhuUoM77d3Ae66wqcz15VkfnefQuWt/rbGc91Nr99LrvvVxJX3Vd/rtSOb1K/AozY+3FsZEFdS6L\n+aW3Y8UbrtfNmQpBTySoOJbAW2PE+QFQhSKlu16LLpZxRidwN21FWYszPIrFCtPrdWTzTfEKbbct\n8UzdjsTYhQG21xHmFwaoYhkUKNfBndmKMzYltphimWBpkenhIaZGR3E8Hxv0iOOYdqtNt9fjeBDz\nhRNNDnUjdNDjxOwsC90eTzQDXuhETBVENaeVwzdnl/jGsUX+48w4M2NjFBzZZCc9h+XY8P1Gm8Od\ngBvGh9k0PY3n+wxddyMjO6+md/wIbruJDUOc1M6liiWc+ggoxeGDB3hq74tUy2XG7nkDhR3XohTU\n7vtZdH0Y01rBdjs4tTrezHYolFIGkGbgTlWMNuhhFufQhSJ6arNkIWgui3QMos7zfLAWb9M2nFqd\n5PgRwn17UK6LO7U5l9riwwcwJgHPk74sxLNHhcEAptdDaZdkcQ7bbUv9sQnxZo3lMKIcB+35WEeL\nerQkjiG20xam6Lg5TBa9LoQ9cD2064mzT5b0NWWMFlBxlPfHGhv8pfkONt73mSQdpVSfiV8m4z1T\nO6ejnyRm9pLVjI8//jidTod77rnnpTZ1yWg96oLBxf9S6pyvdtAOJN18gyN1WiBJUpDg1GamNXqo\njp7cjFIKXauTKcP0xJS0lyRYldmV5CO2xmB7PbRfkPjBDDopjkSiq9ZSFZao3HR9VFSdrSb14RH8\n+eOYpUVsq0XSalIoleg2PTxH41r43PwygYVxz2G66KGBI0FCM7EEHgw5mpUg4l/mZzkQJJzoBQwN\n1fAcTScQ548Rz+G5hTYriQXXpzo+gdIa7+obcEbGMFFEXHxU1ICOKzGTYYA/sx18nxOtNk8cPUGS\nJJTu/Rm8HbtQSuHtvAaUIlmYEyBka/G27gCUHBzCAFWt4QSBOMJEkThhAOq6W3BHxmWu5mflr1MW\nj0alcIZH87bj2aNgDN7MdklBE8dE+36EtRanWESlMFTx0UOputdFW9nM4uUFccoolHBGx0XVmEpz\nkG7WcSTIL2EgasjGYh9PMwU3JuhK0LdSOGk4hwIBoUYYP0oJCkljdZb5y+I7eJn1fT7Ge4XWppfM\nzH73d3+X/fv38+yzz56P8VxUyk44a7m7DpYNLqST65x839nqnKnv07V52jqpPh8G7TUWk/22A8ke\n80b06uBmpVBZsDLIJpfWzZJ35tdSO46C/sl8sO8UqBhjxRWezG4k101qn1FAkGaQdsiexRJZMNbi\nYjEoHCCwEKfjc7XYbUyS5HahwFiMtRQcnQdTK98Xm2BmQ8ueM/tP6sARh1E6NwmFShWdPlP+PCli\nCJCrE7GcOr9ZELq1oirUOnd/V9kkZf1n6qQ469vkWI+5U0f2nrI1mbUzSFnZSVHj6pTfA+shDwwf\nuCsf44DEwsD3kI43s8UpwCqdQ4VdDt/BJf0GB+hijfcKrU0v2Zvx4x//OH/5l395PsZy0cnaS4SA\nncZsrbo+iJi+znZUoZRLRvn1lMll1y0I8nsYruobyKUtVanmHne5E4XryT8Q1ZrSgBL7DeJIko3X\nxhKHporifm5MQlIfJTGGKDEsdnokxqDLZWILibXcXC2ggW5i8JCyYVdjrCDhHwsFzf7qoounFMZa\ndp9YwBhDuVzOF+6r6mVcpTiy0iYIQqxF0PeTBFUo4E9uAqWE0aUMKT5+FGsM45OTlEtip9r/8Lcl\nH1uSiFrV2j42IhAePiDSKsKoJe4O+eu4+fxFB16QMiWYi+mEyPtBpF9rrcBjpZkFosMH5JrnoyrS\nZyZxW2shTdFjTZ+5Zu+BOJZxn7SuBHrNYgfDBeI4dVhJ+mtNu+kaMRK+YG2emFXaSdeN6/T7Drrn\n5zs4T3UuZd8Xbc84qewKnUqnjTN74oknuOmmm/B9n0ceeYQ77rgD1/3xc34802npTCeoc6kzWGY6\nHTKg4kyCMN1OnodLlUqn1Bkcq7WSTTq7nvR62JUlkTQaDXE2SDddrTRJY4lkZRmVxOjpGZQxKL+A\nqgyhXZd4eVEyT2uFWx/BrY8QNZbEmQRy/D/TaUl2aKWw2pG4qDjGtBoQx0SNZdnk4pgffekfaB45\nyKHQsD+yNHoB19ZKtIOA0EBoFY044aZKgZ1Fh26c8JsvLvBCN2bUUZQdTQL8n9dM4mDpGstnT7T4\nL5NVrq5V0HEEWEqlEr7jMN8NcKyh7Ggmdl4tgtDoGO7UDNpx6C0u4NfrJM0m0Z5nUMbizGxDF4ok\ncczKiRPUhqro2rAElJsE/6Y7BIOy18V2WhBFOJu3o2ySo26Y5UX05DROtY61Fv+aG9DDY+KgUSrh\nFEtExw4LQ0ykngKS1NECa3GmNuOOT0EUylwDRml0sYTpdkjmjqEsJB05PCjHwZmaEe/L5gqm20Yr\nkUpVtt6UuN+TuuorpaBUFjVrmvxVKYXtdfrpZUDebamS18nXWHNFsCetzJtyvVXXX8q3cS51LuV3\ne7HrnK2d9dLLMc5sLco8GjcUNH3LLbfwta99jZmZGW644Qa+/e1vMzo6emFGehJ1u10+/vGP8+//\n/u80Gg2uvvpq3vve9/K6171uzfu//e1v88lPfpK9e/cyNDTEvffey4c+9CFKpdIZ+7lUpxxrTJpU\ncbW6B8glgVPqJImgTZDaMbRO7VqyyZhmQySKKCI6+AIEPfTYpKC6W8EbdIbqmG4b02yilCAcEPRE\nbddYhDjG3b4Ld3KTxHotLmCtEbtboYi1FrM4J/NmrWyGxhC88DzRc0+D51O86zXoQpEX/u2f+MHX\n/pHYGA6EBmMtvlIMexptLd9rhjzXChjzHX5hQoKeH22GrCQJrlL8wrYpXj1aZaHb49DSCp+dbfKu\nrSOMeg5KayqVCo7W9IKQMOihtMPwdTdSqNUxrRXMwjwWSyOMac4eo1irMVytQhjgjk/hjU+CMcQn\njokDhOuJWlErSq//WdyJKUHbz2Cmej3c0XFx60+lvvjQfpFKQWxmcQR+ATN3HBvHlN/wP0let/S9\nWmsx3Ta0VuTdl4Vx6LFJ3ClJo5QFUJt2k3DPbkFfiWNhJo6bMzKTJNDrYqwV540kAd/HGRqWvrod\nWVOuhzO9OWVAGlVOA4CNvFfTWsHMn0jHqOWg5fno4ZO+dSuB48o/e4D1FbqwdIWZneae010YGxvj\n/vvv59prr8Vay0c+8hEKZ0AK+OM//uOXMNTV9LGPfYzdu3fzF3/xF2zevJkvfOEL3H///XzpS19i\n586dq+7dv38/999/Px/84Ad529vexvz8PO973/v42Mc+xh/8wR+csZ+1TkNZ+YU8ieXG98Gys510\ns6DfgfoZoj5KQa8rDKrTyh1AnOHRPBBXp9mibRT3nzVljgQ9wegDnJExuZ5I7iwFcpJPMz/n85Nl\nqVZKcoQZg1Oro9MA4IM//AEAhv68Fh2Nk453d0ucEoYdTWxTqQCLpxRbygXuGqmilGKllzoigDAy\npfA9Dye1e0Xps3pDQ/hDNZmDVhOsIYljmsePAeDGUT4v3tiE3Jc6RwC5vUpXR3BHx4XJ1Op52h1v\nXJA10D646ZlDpdmfwyCHtEpOHJP/e96qjd/a1DaVZi/Isi0AOLXhfA1k7vnJ/AlJ/wM5Ir8qlfqp\nXrKDjTVpolHQhVIOvZQdjnS5kktSmdQP5NmtTbM5MMY0e3WWi21wfbryPC9HKeZC9w0Xfs84V4ns\nJ5FOazP7/d//fTzP48knn0QpxQ9/+EOeeOKJNf89+eST521AjUaDhx56iPe85z3s2LGDQqHA29/+\ndnbt2sVnP/vZU+7/27/9W3bu3Mk73vEOSqUSW7du5Td+4zf48pe/zOLi4hn7OpsOeq3rZyvbSJ3s\n/2euo/qZh08qk5/p78EsB5kN5aRsBjb9l/1e5TWQuWufJDVmqqiTBildO46MJen34xYKIgkMfICD\n7TppcaLEHgbgKtkUImvzhalTprGK1GqpVmw+/adSafCxUoOBvf1nxpj+XA3Op9K5Z5/c10cEsavm\nwOaDs7DKUSYf28B4BplL9p4Gu83AoFe9W913Rln1jNnYsnZYPb+D70n6OTUoerAf5eh8Pai17lEq\nnbvL5Tu4MH1vdLwn06Xs+yedTiuZ3Xfffdx3330AXH/99Xzuc59jbGzsgg/omWeeIYoibrnlllXl\nt956K0899dQp9z/55JPceuutp9wbxzHPPPMM995771n7HDxhwamnrrXKTr5+xnbSzQqTwElqmvX2\nTaGACnq5yzzFopz+s5xnpTJ02qihOs70DMliisiRxJAkxO0WTn0kRdWPUI4HhRKmsYRpNTGdDk59\nmHhhTtSMClSxiOm0sa0VsSV5Pk59lOj4YeKFE5IpuTaCd/X1hM8+TXLiGL2nHoWZrcwMVYh9F+24\nXD1R4t+PzEKaXkUBPzde4euLXWaDmL2dkNurBX52tMz3VgKixPD03CI7hodYiBKCxKAULAYhE7Ua\n7lAd5fl0GovMhwklDa2lJZZ27+bqG25E1epif0oSRobrLDdWCIIAz3UpFHx6B16gsH2X2JFGJyCO\n8K+9kfDFPZjWCr2nvk/p7nsl/i6QjNDhi89TuPZm4a7Wguuih8dI5mcFHaNYxkYhzqat2FYD4oSk\nsYQuVcRm6Tg4oxPo+hjJwiym24VWE2d0nOjF5/F2XisB1z2JFbRkuI4aPbmJpLGUSl0mz4GjVBoc\n7dUxnbaMSymxjdWGJVt4t4tptyShZ2NRIMesFelxqI4emwQla8Wp1kiWF4HU7pYmKhWpNV2TxmCj\nKI81O6fvYCPfzhkY3cXq+6WM90L0fYXWptMys49+9KP85m/+JrVajbe85S1nVDGeT8qkqeHh4VXl\nIyMjLCwsrHl/vV4/5V5gzfsH6Utf+hJPPPHEhVdFZC7e1oi65jR1bIbEMBCQKhtIIvYMY8TeBsLI\nMkaZxKlKKg2kNolIHUmSeuilqB7pJqRS3EUbR8KsOm1QCmdiChIj6jfHQVeqEhicxmnhClhw0lgS\nB4jGMjYK0bU6yeKCeNBFIe2FeRJjKI2N4ztF7FyTRafESqsFcUDB0bSimFrBYzGM+NZyh7kwpugI\n6G5o4DPHVygFLktLKwxVq+zVRf7yeIuRnoOzHGOUpt3t0GqsUCqXMImhd2CBsQOz+KWKqN/iiDjo\n0ez0cLWiWA7xKxXi1nGazx6mUCxSLZVRhQLOssyt7YYkL34Xf/8CqlzBdtqS5Vkp3C3bUUoPwGaB\nDbp9JPrs3bqS+NM+ujuPU8N1UaUKqlAQlP44ljkeltQtGRixHqoRzx5FaUfWgdYSTN1pC2Px/RSd\nI8UM1IKraTotSdxZKErdVMyySQLGCvNZJeCKSnOQIeVrNYX5OuVathaNyePVLqZKbpDO+Rt8iX1f\n7DpnGu9HP/rRU+bjCp2BmX3+85/n9a9/Pa95zWv44he/yPve9z58//RI2We6dr7oXHXGZ7v/zW9+\nM29+85tfypDOG9k4zoNbdbGYYi0OIJWTqpws6Erl1Prdjtwfx9hQYK0k/1WCjUOiPc9ircGdnsHb\ncpW0lbqg55uXUvSe/D6msYQqFCncfOdqVZxSuKntqPf491j57P8N1qKHR1HXbiFqN2n+aDeMbmLo\n9rspbt0B1pAcPoixht7cLJ0jBwEo+D5ozVI3YPfcIkopbp6eZLxaBt+ndOsrxNY3PIqqj/Lxzz3E\n/WYBGwS4Q0P4M9tFPdbtYBJD1Otw/LndAIxumWRoYorEJDzx2GMkFZeJmS1cc7t4KH7961+n3WpR\n9yJeu6mKdjSV/3Qf/jU3YqOI+MiB3I2eSLwOKz/9JlSxhI1CgZAC6HXSw0QijjiQI8pbwMzPgTVY\nxxHgZqXFAcRaKJYo3ng7aE20bw/JwonctpkzkkIRhSJekHZUoSh55NQAXmOcEB/eD1jcbTvxr7pa\nJLpyJfWijESSR/WZmVKSYw3BpCS1C16hK3Q50HqxGE+pd7oLt956K/fffz8gp4FM5bgWKaXYvXv3\nhgZwMmWqzOXlZaampvLypaUlxsfHT7l/fHyc5eXlVWVLS4JUMDExcca+1jpBZXTRT292ILg1Q1sf\nKLOZuSQNkj1t27lJRSQ9pRDJTIGyoMpVOc3bPnI6aXJGBeJAYvrI8gqxCeWOJkrctpOFE+JBl44X\na0RicByIY7yRMXSaLBSl0Chs2BuwhaVo9UmCozXGGKrFgpSnjgZKa3SpguN58uxhgMIKLJRSSMgx\nOFoRRgLhZOMYr1KRfTyOMamdoVyr5UHR7XabxBiKjoNRoI3BGZ8SNZ5CmIE1eewf0E92avro8bmU\nPEgZ/JEx5Bm6c1R9mzvR6DTli1KpI0qmwkvnPA9ex+bOJWsFqtskSl+cxMXlaWhU5l7PKuYn7zFD\ngmdNZ6RLKZFspM6lHm9GF6vvK7Q2nZaZffKTn+Shhx6i0Wjw4IMP8su//MtU1pAIzjfdfPPN+L7P\nk08+yRvf+Ma8/PHHH1+Tod5xxx1885vfXFX22GOP4fv+KXa3k+lkXfV6rq+37Fzr2HTzsiB2MMfJ\nmUi6H2U354wobyfldDaTsGwWEKtF4nP9VMIC22xgxyZyB4jBDdsqhTMyTjJ3TGxFWTs2DcY2RtSV\nSuPObO+HB4QBFIo4xbKkF1GK4NgR3KEaVjviKJGAk0oDGao/SlH23JTpKpbabQq1GnS7OHEsjK/Z\nEHWY0jj1EZJmoz82ABTWJDh+IXfe6C4vUSyVcV0Xz/OI4pjW8nL+LKMjIywuLtIOI7S14DhEB1/M\noaYgPTk4rmQSV5CsLAtAc5b+xVpxGDFx36HGgopirJZ3h+PImJJEoKmyeTYmZ2DWWsk60GnlDEg4\ncYJ107fsehISEEf5dZWdbjxfmJOW8AA7MZ0fhKxSOVMcdPDIM32DHEhSJnm+1/TFrHOpx3sx+77C\n1NamdSXnfMc73sGf/umfUqvVLsaYeOCBB3j00Uf55Cc/yfT0NJ/5zGd48MEH+cd//EcWFhb44Ac/\nyKc//Wk2b97M4cOHedOb3sT73/9+3v72t3P06FHe/e538+pXv5qPfOQjZ+3rcjo5WiNu1pn7da47\nj2Nw3fTkbnJoJaUUNgxFdZXGi2W2MdvtYDotCY4ulmRz63VxhkeEObg+1nFIjh/JkdGdsUlUqUzv\nB49iG4voYlmQJsIe1lgkqWOHeGGOaN8e4uOHSRbmIIrwdl0n4Lom4fg3voIxhvqtdzK081pIYoLn\nn8G2Voh7XeIoQivFYqdDu9ujG8UExlLSiqZ2mY0Mc72Qt9xyHb3jxxi+9U4+Pd/lQ297M61//ops\nwAqSdoukscyKsTTbHbrtFiO+i6M11fFJyqNj2DhipT7O8NZt6F6X9vPPEBw/SqtQolopU6+UcSc2\n4YxNiIOM1tiVZQp334M7OonpdUhWlnBGxmXeEslWYNtNSeUyaLN0XYHxKlUEPQRLtP8FTLeNDSNs\n2COZPYp//a049WFwJOMASYIJxA6mazXi/XsQjm+wkTAxd9tOyUVXKgugcbkqNkpAez7R4f049RF0\nfQRdG5b3liTiaWptCgxdkr9aQ2oz3WgA9IX8Dk5Xdrl+t5ei7/XSyzHO7Mcq03QYhnziE5/gK1/5\nCu12mxtuuIEPfvCD3HXXXTz88MO8853v5Otf/zrbt28H4JFHHuETn/gEzz33HLVajTe96U389m//\n9lnteOf70bNFaK0VoNY4Bt8Xw/1Z6px2fFEk3mRpavtT7klVXcnSPLa50s97ZcUTz6kPiwQR9OSE\nrjU2kCzEeqgmGaqxKL8g9pNiCdtuYcKAaP8ebHNFNsZYPCOj+VnCHzxGYgzH9u+jOT/HzLbtjNx4\nC8r10KNj4PmsPPUYbquBUyzi7boeXSyJB2Qco8sVlp94hPnDh0i0w9jNtzG6/Sqe/P73+fundhMa\ny+vqJW4pe2jtMDQyzP91YJ633vdTfPmf/oWdU+P80lveQnFiiqV//X85/sxTxMbQSCyxsYxVymzb\ntgXXkxxlJgyxI+McnF9g+cghrprZzPTNt0GcCIJGqYyqDqFL5f6cK/C27kJVq9hOG/+aG3AnN2PC\ngPjoIeh1SFpNor3PglIU7nwt3qYt4g2oNcr3SWaPEh18sR/cHofgehRvuxuLwqwsiyp1dELm3lrc\nmW3oYpl4aZ744ItyuNGOqBArVfTIBHTbqKFhnOERYVQpOodNDM7oWB6rdj7W90bauVh1Lre+N0Ib\nHe966SeJmZ1WzXjPPffw0EMPMTIyclZEfKUU3/rWt9YxzPWR7/t8+MMf5sMf/vAp1171qlfx/PPP\nryq7++67+fu///sN9XXyqfRsZWvVPaVOHOVByDlA7dnqrFWWud3DqpxKq05vmUdZqznYCUop3JGx\nVBVo+zFE3U4+tmR5Udp23dxGZrsdUUmGIbbZFMaYOqEQRYRPPQrWsnj0KMtzJ8BaatdeL+MoFNEV\nsduIPUqhLHmZOzKeP8/80SMADG/dxviua9COw//Yd4RmbJjwHG4si8RQKvqoKCQOAv7moa9ggfr2\nnRRmtqEdh/n9L4C1JBaiFLx4bHIS15Pkm0m7BcDRvXtYaInzxeQtd6A9D6NjdJalOTtwZAcRIGks\noo3MlTu9Rea528mDmMM9uyHo4YxNSK4w10VXh8TbMY6JDrwISHvKJKAdine8SuDBgkBUhUkiUFYK\nOQykNk3bFagpBZJcNYnFoact6C26OiTvaSBVix4ZXcXIzmVNX5Dv4DzUuTLeU9u5QmvTaZnZvffe\ni5d6Od1zzz1XJjGlQXH/QtaBAQ/Gc6GsD9V3FEGZfjvraPDkN23X+jUYjJs9n1pdSw1cO9041UCH\nxgyUDYzi1BYGSgbnVImtqL9WBx/W9vvM5gabBzwr1W/1jFNk7ak3qNNhD6zR0lpjy/pWp3muwRsH\n2lFKrQqaXmOi1qTzIYlc1O/gpPFuZC+6mOM9XTsbqXMZKs4uKG3UkxHOwMwGoaD+8A//cMMdXO6U\nLZbBRXOuZadcd1yUThM4xvEq1+e8jkVCiFMV4lrtWC2JFXM8QMdZ3U+SCDKDdqBQTBMvBtgwFBVi\nu41TTRHxiyU57Tsakv5WaiGNeUoTLipxqKDgQ6EguIWQx7rpsQmSueNUKhV83xfniuPHqW+ewS4v\nEicJ3uat+DfeRvjUIyKlhgH4BeKVBjaO0OUKztgEyfwJ2keP0Np8lNL0Zkamp5lvNCTti9a41hAb\ng2Nln76rXuKJRpcDTz9B89abqF+1k+nX3Muxb/0rlUIBb2SC2T3Ps7KyQqVYwACzvZDJos/EcJ2O\nsbTaHWZ3/4BNN9+eOk8o6PUwicUpOIJlODxCcvwoNonT7MqWeH42TYDpYa04rBRuuYvg6ccxnbao\nK6s1CYrvtoVBDdUl4HxsCoIuZmme8PBB/K1XYVPHFaVT9BSlIAyIjh3C27wNZ2I6x9tUpTKEoUjQ\n1Sq025huRwKmVT9rtA1DlF8Uh5QzrKuzrt/z9R38GPZ9OYz3imCxNp2Wme3bt++cGtqxY8dLHszF\nplNUdufJmKu1hlIJY8wqhPtV9yURJookl5h2cjXiKe0Ui6fUBzDNFVEzxTFJrwO9LvHiPHZ5AZvE\neMXrRH1VKouaTymSVlPsQZkLeOqNmKnPTBLj1EeIjx2WWDOliJsNdGWIZHmJZO44WmuW5+cJFk4w\nPjLMyHU34TgOJ559Bi/sUSmX8LbuwJ2YRr/2DZheB6KIxa9+AccaenHCchDSbrUYLhVwreG5b3+L\ndz17jNjC+6/exM9P10nimMOdgE2uSy8xtBLLlKv5X6/bhu20mPvqF3BvuY3C8Cg7f+m/CkKJgm3I\nnB6fm+PISotGp8vY1TsoV8pcVx8miBPiueOEiwsUJqdw6iOoHRPCtMtV3LFx3PoI8eQMyiSo2jDu\nZlFp9n7wuID6Fgq4O67DcxzcbTslszOIA4e1xEGP+PgRlEko3vMzaM8naTUJX3weum1B0jcGkhj/\nFfegtSbptDCtJsmRgzj1UZRSeDuuk2DrOEJPb5H4Q8D0uuIdmaZyUYUidqiGTsGSTRQZ37zXAAAg\nAElEQVTKde2g0wNQzphhQ2v6fDo1DI7nXL7BQbqY472Uc7VWO1dobTqtA8j1119/TieAl2Nyzsti\nYVh7elXcmrdbYVhxjMrQza3tB00nCbbbTt22PfHAs0iArzEkrSZm4cTqNtPNF0AP1VGFAjbo0X3k\n22LvKZbQ1RrGGOzSvHhLxmLDQWse+8HTHD56lFK1yht/6X/GK5ZQ5Sq6OoSJIo5+9tNEy4v4xRL1\nqSmshdb8CUwYsb/T4zefOUIrMbzrpp2889ptJEnCXz7xDO0w5sbJUd54zVX88dMv8lv33IXrFzDd\nDsGhfSitKd18J97MNohCgmeelIzIYYgNQxJjaDUbaMCfmGbktT8FQPvR75IszKGHRxj5L7+Mcj3C\nfXuID7wArkfp1T8lYLsl8XREaaKDe7GtFhSLEpic5i/DWkChS2kmgyiVRK1BeYIybwPxYrQ5eoYG\n7eAMjwksVlkOHGBTCTxFW0kR95VfkNi6ARKoqrYw0VJFnE7SQOvBdZVlW7AgTiZncEa6GGStFRus\ntcLMLhKy0I8Tncu+/HJzADmbmnFDDiCDasZut8unPvUp7rzzTm6//XYqlQrNZpPHHnuM3bt381u/\n9VsbGPalp7VOPhldtJPYGuM4Yx1j+s4laXAxSkk7OoVaSmOh8ATs15qk3063039GRH2XxW1hraiy\nQLD+4lg23zQ5pILUu05sRFls3JHjx0mMoT42njtSqBSl37RbxCsNMAa/XEHAhxFoLQXPtQPCFDD5\nP2+bwnc0R9sdurEhtpZd46NoLZmNvbTNJOjlc+FOSlxV0mn3g7jTYHGtIIug8ienc8kkWVoALN7E\nFEpLSplkflae3/dRjjxX5rgC5A42ulQhywKdv7s0M4FKVbTyTpzcGcMEPfEY1TqfM3wfXAmwVina\nvUxcGsTsSMoWQJjiyWss9U4lDchWIOrtk9eVNf1g/MHrl0oiMZIOSIEw7Je5BDVIF6vvK7Q2nZaZ\nveUtb8l//97v/R7vfOc7+bVf+7VV9/zKr/wKf/Znf8Z3vvMd3vSmN124UV4gOp1e+kzX11t2oepk\nLhIWizJJ/z6lcnR8ld6rjBFbzGCZ4wige/pdWFZ7XGbMEN8nC64lDrGeJ21laiIZEChFqVCgbS1h\nr9cPKI5C2bg9L5dekjTLMkqnoLkw7nsixSjF0VaXqXKRkudj0rJGp4sZref9WaUknit9ZrEd+Wkc\nXpIGMNv0Gfsbe9JpY+I4lV5EWjLdLlkAtyqUsO2UgaegujYMxObppDiJiagGs8MDNoVNTjdnC6kz\nSCLgw1lZtmlnm3j+rtJ20nHLpaztvoONyt/7wHpwnL6aMX0V2p6KQD84DrXG9XNZf+ejTrb0LIK8\ncr76uZjf4Fp1LmbfV5ja2uQ88MADD5ztpg996EP8zu/8zingvyBwUh//+Mf59V//9QsxvotC2eJQ\nSq36vdb19dQ5X+2sVUcpJQ4B1khGY6Vkw82hpeSkbpYXBbA2Qzc3hmRulmTueJo9Os1xVSjmwbYY\ngzM2JS7hros7MU10YK/Y5zJ8wWKJ5PhhzPwsNuihh2pctWsXpt1ixFEMRV2iTofl7/0btrWCaS6j\nFucIgx5xmoPLL5UoVKqYOGL7UIVbRob40dIKy8sr7BwqM1X0uK5eIYoithddytbw7dlFbmgvUqwO\noa1FO1qkv9SJxjaWse0me2fnePjQUaIwQCcJcytNio4mmD9B0mrieT4q6KJrIzijY+D6qDjGRgEm\nDMSdf2keGwQEj38P027h1OrYJEYP1XHGJtDlqmTVDgORmjxfmKTrybvxfAlTGBmFbk9yvPlFlO/j\nbtmO6fVyxuKMjOMM1UXlpjX4RckY7XmpcwgSiO26OXMmjoRJWXJAYuV6q+7J1ot2HHH6sZx6PXUa\nAWln1VozRoLBgyCH6Dof34FSqcOKtWuO90J+OxsZ7+Xc93qotfvpdd97Kcl9/c+hr7rurPdVKqdX\nS59WMhukKIrYs2dPHqQ8SHv37iXKkgi+zGmtk9ZG6mxEJXCufSuvIKf1MOzbYsKeSAauh6rWUEE3\nj2MyQUCyvChYiYNpaJJEMk57Ps7oBCiN6fUgiUkaS8Szx9ClMqaxlHrWVSS9TNDD27YLd+sO9NIC\nt7zyVdhuG9NuYx2N1g69557G0ZowimgEEVrDl148wvPPHeGXr93GD4/OM1n02Vry+fnxCiuJxbSb\ndG1M1dG8qlak4DmCFWktJDHhscMo3yeIYrq9HqPVOm6vB3HE3sUG//DcPmqu4onFJgp4ba3A7nbI\nTNHjxoU5oihAlSr4M1sFxd51U5Wfi1Op9rMWZNKpEpWr8gp423eBdjELs8THj6DHJnDrIyjXxzSX\niWeP4s1sR09Mox2NjWQO8TxUuYKjh1Cej7tpC7bXxTRXhBEPeE3iOujyCCYKiRfnodcV3MgsBUuS\niGcjYNMg+kydaFO4MazFup5kqXbS9VDoJ9bsL6Is71sqwZoEG4hETZr0c3CTPdf1e7rvQGktKY1O\nHs9p2tlI3xupd7H6Pl97xhVaTetiZvfddx8f+tCH2L17N9dffz3FYpFer8fTTz/N3/3d360rZ9jl\nTOtRF5z84W1UxbCRdgbrWGv7QcwDqUjotqXMkc3CGaqhXcEGtFEsDh6+n2dOzlVlcZR741nAzB3H\nJjHJ0gKdb3xZHEoKJdkYwxCzb48EEe+6Dn/X9bLpd9uysVaGcMZlvPHRQyS9DnGScGRhCQt8brbF\n1xY7xBbcbgff0RzzHFYKDhVHc+9kjSHXIQyCPIO0cly8QhHHcahWq5DEtJfakk7GWuzmGSiWOdzq\n8TdP/4jYWF5oRnQtOEox7Iq9bdNwjVK5DEkiDiPWon0fb2oTSjsisbouaAdv6w7QGm/rVQIwrDXe\ntl2gFMniHNGBF7DG4NdHUa6H6bYJn/+hjGd6BmUNJkqID+3DWovWgqVoTYJCoQtFrJLAdHpdbKEg\nKCtKp/iVYBaWscuLWGvxKlWRYNLMCmuukQwjMyWVJKkddYBZnVwnldrza91T15Uqlfrq2svoO3ip\ndS5l3+daZy2mf4VOpXUxs49+9KM88MAD/Pmf//kqKcxxHO67776XbX6dczHmnq7Oyfed7fqZ+l5X\nnUG7Q3afYgBIduA5svYQsFxl6SPgM1hn4LdNkeDDILf/rALXzcbien1kd5vZgsiDeG0qIZgB8ONW\nYgnTwGgns1UZg1Uuylo8rdFYjO3X0alDyqp3k222gOO4KCy9KJJQBmMwSpEYgzPwhH7qRJJWGkBV\nScebpNJflicsu28wbxgIQ8meN7OFpXY0rO07a6QAzgpWt6myYOcB61E2j0r+r5TkosvrO31k+9yZ\nA5VrHfP3Yhkoy3731VTrX1dpXdUf75p1uITfwTr7vhjjzehCjffksiu0Np0OumAVVatV/uiP/ohH\nHnmEL37xi/z1X/81n//853n44Yd58MEH82SYLzey9tTU5WuVZb/XW7bqemrkPqc6ZyoDkaqslQ0o\nW+ypykmcAgSQWNow4sWWqhazdCQnn/OUSp0SlMSe6eFRdC4RRPJXKclUrBRJmrASpdCj4+mY0tAA\nY/AmpgHwHIeSL9Lg6+pFqo5GAyuJbNQdY4WJAIfaPdmsXQ93qA6OS+z7ohZVCqc+AlpTKJdx/AIo\nTSeFq5oZHmKsXEIDmz0HTykSwCpJN3O0F2Ey9WE6h8lKI5dmnMkZcbdPhFkBonJL5zxZWZaYvHI1\nTwMTHz8iTND3c4eOeO641FFIUDbkdilAQhpAJGTXBRQ2SlO8mASiGGstulbPmWCy0pA2df9zHWRa\nJ5dl71Mqx+tfV9o5pR0bx+fnOxgss+bc65yvvi9AnUvR9xU6lS5LoOGLRdniGAxsXqssu3c9JyyT\nBiFjrSRFtAY8D50yk/W2s2bbYSjYhtZium0JuPY81NAw2nUliWMcYZOEePYIRJGgqNdHJDC315ON\nt9MmWZgHm6BqI2jfI2m36D32HexKA9JM1FhDdPSQoMmHATYMRPoZHsOp1VHlKu7kJtz6CK1/eoj4\n4D6sSUhOHMd2WsTWYo2FKODo3DwYw7HI8P1WSEHBloJH3ZET1XJiiC3c9urXcN0rXolTKqO37aK4\n8xqiQ/v52Cf+d/7b236e8MghgSQ0hnBhnsJQjbjZzOPoHv3edxn3HBZjw7JVlLFcc+/rGa/X8EbG\n8K+/BW96hu5j38UszaNcj9J/+E8SGD53XPAYPR+KxdwpIpNYwmOHMUuLYC3O5CaUNSTdDnZlCdtu\nUX3b/4JTGyZpNQX3MonRw2MS7qA1FEsyf26aEDN9v7pSlfCIKJIwgW4HlcQiGadrZ1CKpiiu/DYI\nxN42UAbIYcRxMGkYxeB6OtuaNoOhF2k7G/kO1mw76EGcABZVrmy4nYtV53Lue730cokzWy+M1Ybi\nzH4SyHba8rcoAa8mDTDFWoxfQLnuqpPQWr8Hy0wQ5Pm+VLGIKpVOgaFaTzvZb2OMjCdzsbeWDAZL\nFcsAabCuQ7y8hF1ZxsYxwd5nsSvL6LEpVKmCmT+BySCPCgWcWh1dqWATg64NY3sd4mOH8bftJDxy\nCLs0j2m3aDz+PYLDByjtuo6hW+8S6c4YVBRiGsvoMCBanCdKN1Jn81aifXtQlSruVbsYvuensUrx\n3Cc/QScxeFqzo1pgZ7XI7laPxIjr+K6RIUqOpjc2ycw116DaTWyhiD30It0jBwj3PItZXsRqh9Id\nryRpNgiefARPa1S1RvnG24m7HZ76zH8nRhEWy9y6dYswhttfzcQrXp2mYQnRWhMeOYD2fdTEFNZY\nwmeewJnchK4O4dRHcEYnZF6CnkhVWhPPHccZqqOH6oJuUhkCpfC2bMfEMfGBF1COS7K8SDJ7BJIE\n95qbcGe2ib0RkcZMY0mkwbBH0lyBoIceGUMPj+ZI+vS6WNdDD4+IpJytESXep0prUeMmMVjEmWJQ\nassOYhlTWuOEf7q1uFY7Z6uz3jLlF8BHArk3+h24fS3DufS9kfGez3bOZ98vB3opGIsbpXWpGX+8\nSfWz7aYqFUBO0+oc3I0zdRyIK3Rapk7j1nxy2ZrXjcljx2wGwpseypRSaYBvCgm0vAAIEr5trcgw\nhkf6J7p0bMovIoHLGl0blhPzyrIgfSiFbTYAiJYWCFJUkMKmmf4YczUd6dhsjihiex1IYpRSlO58\nNbpUJmyu0DgxK+04GidV+5kUyb9e8CimwcMzN92K6zgptqUszWj/XkE0AdzxSRnj0kI+196W7SjH\nYWX2OCtLiwBMT07iui5udYiJu14l0onr9zfBxXl5BO30c8f5fh6Irofq6bz13x+dFkop3NpwDg/m\nbblKUFgcF2d0XOZyaV7sXa6Lu3mr1PW8PBSCKPVEjEJxe4c0xACUTXIsTFUsneIur1y3P57Udq0c\nna/Vda+rdZRtpM56+86fYb11Br6DLP/aRvs+33Uu9FydruwKnUo/2ZIZgLV99Y1afXWtw9BaJ6TV\nJyhQ9vTXT1e21v9XqZZUNl4GDCYDaodUNZFllAbkJHvyow3YK1TWr9LZ/+Q0DsK0Ugaa2XlWtbOK\nUocG1e/bRpHYmPKgacTmkzppqPRRzECLuT1pcC4y2CiZFHlOnTluCPwTHuLMkY43MWnQcroBnjrc\nVI0z+DzZXFnTL1T9qUynG2v7bWaZA1a/J90PKD9D3/JM2WSldpdVzjvmVPWSXaMdu6rWWU/z6y3b\nSJ3z0fdZvwO7tt3o5Lm6WOPdaJ2X0vcVhrY2/URLZspxUY7ufyCuJ7YipcQbbYBO1lVneu1V7RVL\n0l56/7rqnFS2qo7WObK7cj050Tpa8P6MwXRa2G4bmyTokXGwSJLJ6RlUbRhnUtRhulRGj00KdmAQ\niPosCIgP7YM4tauNTQDg7bha2rOW0ugY3vgkenwSPVQTKaRWh0JR6lRFf61KAjMlfW8Gpeg++h3i\nhRP4foGrf+4XKW+aYfSn3kjlxttAKa6uFqlVq5THJyhu2oJTrpCsLKOUThmpOKO423agJ6Yk2eXy\nksBsaSUOL45LfPgA7dljBK0WytGUqkOY2gjOxDTO+CQ2STBhiOm0MB2ZK1WuynsulKAyJG7xjrjl\nK2tJlpfknWTxeFGIqgyJ2jltD6UwSwsiYSkE7NcY1FANVSqjXI/48H6xc7Zb8q6SBIoVkbiKJdTo\nhGQm0CJdac9DT24C1815YbYeBlWG1tpU3ejIfK2xwQ+uO2uF6Qtm5Ok30TOuxXP5DjZYZz3fgR34\nLi/b8V7gvq/Q2rQuycxay6c+9Sl6vR7vf//78/L3vve93Hjjjdx///0XbIAXkvQAIr21KUp9oYC1\nfl528mnv5MW16uTsSKqVM50QT64zWGajCBP0JLZJKXFCcV2RehxBTzfGyMaWgszaOMb2AlFluQ46\nVngT0zi33Imu1oiOHoTESpsryyjXJTp6iGRxHmdsAmdsUuxd1Zog5acbJUEPv1ym/h/eiLd5i/TT\n7YBSeDuuRWFJGsuCxK8USXMFpRXO6DhOoUCytEh85BB2dJz69DRDP/Oz+Fftojd7FB30UPv2cPft\nd+P6BUEwmdqELpclFq5cTW2EBl0oU7zuFtwf7EX5PtGRA9hWU1A16sMoYPHpJ1k4fBBHa+56w0/L\nux0eFSeNcoXeY99B+wV0fVTej+Pg3XQHhD1sp4275SpMuynPrTS23czRPUCwK5UCd9tOmQcjtsYs\nQFlrjfU8VFJA/f/tfXm8FNWV//feqt7eBg94wBMeaFQQeaL8xFEfWYnEuKDj8glmIRG3UUbjODP5\nYKLGlTFxiRJNTNCPRkOSiRJjHKIx5JNEg5OMWyDRuKP42GR78JZeq+r8/rhV1dXd1d3VezXvfj+f\n5jX39rnn3HNv1d3OPSeVgnrQdBG1engQ+o6tYosxHAGpAbEga+sAA4HrOjC+y/T2Ic6nOGOCr6aJ\n5YgZGYGFwhmRFcDSW74EiIvUAWG0I1arzgvVwks9NA2kqODm1qrd/0wLVCtUUb7+6fU5KJTm5TnI\nTuOci8mLI9J6vXi7bSWWyrtWupLIhKfB7Ic//CHuu+8+/Od//mdG+ty5c3HvvfeCc45LLrmkJgLW\nEtkHrY08ADbiMWHAAYiHNhAUBinWBenhIeEtAgCGB9PbX2QAWhJME97toQaARBzGvr1IvvqKGSpG\nsQei1OZ3oW19HwAQmTcfLNICY2QI2u4PgWAINDKMwLRDxBlQIABt8zugeBRK12QxkPUcDHAF+v4B\n6Ls/BAFIbXoLlIiDhcIIjJ8ItLZB7TkETA2AUhpif34WMAykNr+DQHcPxsw8Eu3TDhYv2WQKFNsv\nVp/jJ4oVknUxGAxoaQMfM1Z4PIlHhWFGIARjaJ/5G2DyIR/BxKlThRd/xmAMDULfvROp995G6u1/\ngDEONqkbqrlqDJ3wCWFAY+iChghK53ghj+kIlzTz5Q+AtbYjMO0jtqm8te3JJ04GCwizfKYGwCOt\nUKw0IujRYWFtaK5kwZi92hMRDmLCOpUzEAvY/YEFAhkx8JBl8ABArK5NQwqWSqYvwJs6sXYYrIGP\nBYLpqwLOciz/k4B9ob6Rz0GxNCfqzdsvNBLu8LTN+Pjjj+Pb3/42lixZkpG+dOlSfOtb38KaNWtq\nIlyt4XYI27CDZMtjAyC2OxmzHcwywL4obJ20MIgv1rkP2d/J/p0Rj5lBNcUPGAAjOpy+0NvSKlZ5\nyaRND8vUW9fFeRWRcPtkyWl5dTcHAQbxYoX5QoelQ1WsNpBKCEEN3QxPIs7l7PIMzTznI7E9Z81A\nzX95S0vawk7XzXrrdr1FOWL2zq3L3eaFY6ueIEPEOzMNfVi4RaxyzLNGUT4z5TJf/g49i/oIoxTr\nnp6zjow5POibF60ZYJ8N2kE0nW3vbFtehpGQVTbMAdDsA1bb2zIW63dWOTXo03V7dhosbyN4S+TC\n08psx44dmD17tmve7NmzsWPHjqoKVS/kmw0Vyq/ZTMz0dEGA7T/R8tZBgPDdZyTtFVm6HKe8ENcC\nTBre2g4jlbRHOoKIV2bs3QUAMPYPiO2ycBjMIgqEgGQcPGy6MVIU0MgQ0NZuDxDEOZi5FQrGRNyy\nkRFhMcmYWAkawlkxC7eIVRXjoHgsvbpRVIiYX+YKRA0Ia8hw2BwkhUD60KCI4MwgVhZaSqz4TD72\nKEwAmDjLYsGgKQu362AMDYqXPucwRobMMplYjWXoLz2YMjudYCQdzpmd7cTDGZ7gmW6AFMu7f0Cs\n7rJcUBFRZtvqWsaFaE/9SlFM61uk5WWO7456FSyTK2KVSJRB48cViV95O1EP3vUc0BphYl8uPA1m\n06dPx3PPPYcvfvGLOXm//vWvMXXq1KoLVg9Ye9nOvwAKphXLL7ccHgqDxk8UZzXBECiVsr038GAI\naGmFMTwIxKJgAPThITM4piLOmnRdXMpVFFBLK5iiIDThWBiD+0CGDmXseCTffh1K+xjg4MNBI0NI\nvvl3BI+YAx4IQu2eAn33LqiTp8AYEvHHWrunILWtH4HJUwAi4ZDYPKdR2seAz5gNfWQYgSPmQN+x\nFTwcMT2HtCMw7RCkdmyFsW8vxh45B9qW9xGa2Qt9aBDJN/4G1j4G+s7tYnUTDIG1tCJ85NFI7dgm\nvPG3tSP+0vMw9u6GpgaEj8YZs6Fv6xcrn55DRPDMaYci+frfRKDKUBja3t0IjxsPY2gQRjJhOukF\n1ElTzAEYIqq2YYhVq6YJTxzmWRiZ7qp4Wzt4KAwjOiIiEGz7AOrBhwmv+MxcBZqBMC2dWwOt1b7q\n1OnQ94qL2dY2LGNMeOe3tgiDQZvG6g9GImG3PTjPaFur3/BQGAbFzZU0E2eNqumsWDfska1QXxSX\nmEVYHLh4sG/Ec1AozQm/PLeN4C3hDk+D2dKlS3Hdddfh//7v/9Db24vW1lYMDg7i5ZdfxvPPP4+b\nbrqp1nLWBNkdw+tMy/m9ktlZDg3n6ejCqgpiDPrAbmD3h2DtY2xTcyNlroCCQfD2scLYIJkQnjp0\nTdxVUgMA41AnTxErgeFBBLqnQI9FETjsCPBIC1Kb3zEDehrgnV1QJ09Famu/uUQhkKEhNLMXZBhQ\nxo4DU1VoH24XZ3eMgY8TNPrQfrAp0wAAythxUMeOA8VjoEQMTFHBW9sR+aePCQOX7VuEW6pAEOqs\no2EkE+JMrqUVqQ+3IfHqy4Cug086SMhgymcMD4H2D4hBhytgrW22k9/A9ENBqSTIMBCafQy0fQMi\nkGcgAGN4CIGDeqAnE6DhITAwsGAI6sTJMJIJaFv7gZFhINICpXMCQAaMof3gkRYRDbp7KtSp04WX\nfHMgE5GfAzntaQUmtds3EQczdEADSFEAPQoyB6/06jWThojAggFQytwCVRTzXI3n9CEWDIJRQJzL\nqQGxwkomYbkzE7ri9qCbM8MPBsUVBlVNr5hL6NP5+rfX35VD4/Zbv8hbb94SmfA0mJ199tlQFAUP\nPPAAfvvb3wIQZxQzZ87E7bff3pSBOS1kr86KpbnR1oKGcS7OvKIjYnCJx4RXd8MAkgkwxsDbx4qX\nOmPg47sELSDiaQFg4bBtDYdkQljxTZ4iVhcA1HHCHB/hFnDTvZBzK1CYfgNK5zgR3t4MMSLKbgG3\nLDettEgLlA4R8077cBsokRChVcaIy9mp7f32pWw+dpyQGxDWmoaBxF//TxiqcC6sAAEo7R3mHTID\nxj5xKZoFTcs+QxcxvRQFCLRBCYuVj2peM2CMQ+kcL2S0I2wT1O6pgiY6AqSE30Rl7HiwYBAwDKEL\nQOjWPMdTJ0wS5IpqbzcWalsQicvoQDq6NAhMFeb0xNKXh3P7A8+0LAwE3fuVuc3LuJmfSpme+SEi\neYtGLNAXuW0h6NvnIE85zSZvNXlLuMPzpekzzzwTZ555JhKJBAYHB9HZ2QlVHX13rstZ7pe7RZDd\nba0zFkfB3ngzB50bjTOJ0pdwyfpSjMaZaJ3bOMqBdapUrP6u+TmluIJl/Y+x7ESW8zWjPZjpzZ65\nk+RD6W2b3spz0pTzksrlTWklWYNdxfJ65V0bGouu+rqqDY3feI8mlHRpenh4GK+99hpeeeUVJE1P\n4LquF6HyNwot6fOllUxjRu2lRLwwjVm2MTwotoxCYbBWcTHZSCXTs3HTLyOlUjaNvn/APsi33HIZ\nI+KiLjFum2Ub0WGxUgPEpWEAMM2ziQjqlB5xLsYVMCu2Vspx2dYy304kbdNwPna8uJBt6LB8CfLW\nNtvbB6U0EBlgrW1m2dwuG2Re6CWCesgMYYYeCIJ3jrfrDXNAtnRByYTtpR4KB4FEpOiRYdE+1hUG\nJrYUiQg8FLQjN2vbt4mt1UiLuDANCN+NhiG8iJj1MmJxO+qBbdauaaIt8/QH68wNjIkL2QCY4xkp\n6IXeMITs5fZFbq5znS9A07Kzov7rgTfpWlpXXuUtp45VLKdWNPXgLZELT0srXddxxx13YPXq1Uil\nUmCM4be//S3279+PCy64AD/60Y8wadKkWstadWQv82t1mKtHR4B4VJiWd00S2zsuNEYiDn3ndmGm\nn0xAaRsDZXwXkru2i3tRjIG1toMDMNraxWXdVApGbASIx6BFR+wLsQgGgWRSxAYLCL+EpGlgui4M\nPMIRcS6ndgAgsd2mqsJA5CMzhGEAACMZB0uloEdHYAztByWTwnOKeUEXrW1QAWjBkD04pF7fKOQc\nO16Y/ysKEm++ChoeBBvTieBhR4K3tiHx+t9gjAwJvYybAJUxKCd80naBpW39AEglxX2zQAhq1yRo\nZAi+RODdU6F2joe2cweM4f3C63wwKP5GWoTnknAE2vatoj4RcXEZyTi0XTvAzSCmRsdYKC2t4lzO\nvIzOxk8Uhh2ppLgnFgzCMHQxMCUSoBCzLzFb7W3ERWRvMkPuKK1t0E0DDqYownNKnmgMlErC0DRx\nLurwTVmwr5mDB+PcdpptbTUzQEyGHFuZ5fZpQ9fAGE87MM7Oj4krIKQoYguYS52giXoAACAASURB\nVAOQWvKuBZrJajEfPA1m3/ve9/DYY49h2bJlOOGEE3DBBRcAANrb29HV1YW7774bt956a00FrQXc\nZnz58krJz07jLa1AS6t4CYO50hjJBGhoP1goDH1wP7B9KzSjH8b+vYCuQZkyHcqESWLFEYuKDs85\n+Jix4B1jhFf5VBLEFXEBmDOxyrAMB2JRINICKIowuxfMc14URCSsJ4MhgAhKSysomYTS0gY+rgvJ\n114BRYeB9jEIHHwYwDkSG1+Etu0DgCCcLOsGlMlTEGhtA0vEhcX/1IOFfMkkjF0fAloSwWmHAFOn\nA6ZfR31oPygeFy/pfbuhjO1EastmJDa+iNT7byP5xqtCds5AjEN7902wQw6HOnEy0DVJ6JdxwSeV\nhPHhNmBcl3DBRR3pbUNLL6kk9O1bxMAZDIKb9+R4p7nS5BzcYTwhXFbpIrRPQoTTgRqw25CFwulV\nmaVLS9fF+o0aEPxN+mL9yorQAKE9Ox4ZD4fNu3iZchTrs3n5WAM0Y6L/uNCwcNhbHUvk7ZZWLz7V\nLqeavCXc4Wkwe+KJJ3DDDTfkGHq0tbXhqquuwmWXXVYT4WoNt5mPhZrMxMDzl5NKpdPNe0lIJe1g\nkWrXZDFbNx3iMsbEBV0mjACgiRVz+oIuB3GzPMMQQS8Zsy9kC3lydZApL+wVgFUOEnEA4r6aFW1A\n27HF9mVJmriEa3mRzyjHLpvSJuzOeFkpzeSj22najq3pS96hkCiNm2bkZNjGJWIAYJnyMmbLmFFX\nUy+UNO/gETkiSptbrFm6smE4HN8qaq7+8vQrz30oR1d5yrFM9+EYtxze84u2rdc0a4uUp1ehzbSK\nqQdNuh3qw1vCHZ4Gsz179uDoo492zevq6sLw8HBVhaoXis186joT4yztxZ4r4mXFFVhn+kY8Bu7w\ngk9E4pKrVY5pwg7zRe7kY718CQBzeM33LBszy2HMPBPTxUBgXaAORUD6CACyPd5TIibuXlnlALZl\nHQE2bQYfhYvzKNNYhADwllboiojIDF0X8ayc8iWT5jUEZg8mTl1Y5cDKc9bR4duQGQTigFjdmS8P\nw8jpF+T4K3SZfsHkb2/RAlVdFTjamDHBgROV3rbF0hgT4YfISPfPcuStMU0jeTtRD95yUHOHJwOQ\nKVOm4KWXXnLN27BhAyZPnlxVoeoNq3MwVjxWUbVonGkUj4GSSdsAgIXDYOEw+NhxUD9yOJSx44W/\nxVjUjmMFwPQuIQxx+LguYXIfCufy41yYmCuq8CRSQh0oHgVFhXcPpigIzZkHpigwdu9A6v23QdER\nhI6cA2VKDwKHHYnQ/ztBGIQQYJgRl7Wtm8EUBby9XVxcBqDv3Q0jFoU+tB/6nl3Qd+2A1v8etA+3\nQdv+AZJb3gfjCkL/7wQEjzxa+JCMDoEFg+CtbeCt7VAmTBKrEUUVvgfDEfG9QwS1NEaGkXz7dVE/\nM9gqtBQQGxEv53AEyuQp4opBS6up9xaHflPCyMbSi6bZLrWYotqDc+G2jcPYv09cXk+lQLFoOjZX\nJf0qHBGrWzVg19uONVdKOfnSzL4IIhGpwaXflMqHdNFfybwmUc3nqdJnsN68K5FXwh2eVmYLFy7E\nTTfdhG3btqGvrw8A8NZbb+G5557DPffcgy996UtVE6i/vx8rVqzA3/72NxARjj76aFxzzTXo6enJ\nSzMyMoLbbrsNP//5z/Ff//VfOPvss8vi7TbTyvtb3VydBFTbt17ZMP0EWqsXxjl4uF1sdwWDUCdP\nBUVHxFYYF6sjFgqkPatDDFi8rUPUQdfFuVEgaEcjZqGQ+Dhm9M56O7c1KJEQqzFFBSVTYrUCc5sp\nGELgsCOh7dkJY2g/Uls3i3MaJrb9oChQxneJQWfMWMAwoEXFoIbWdhF1OR4DBQLAnp1iQFBUIBEH\naRqS/e8BqRTUSd1Qp30E+vAggocegcCUHvDO8QgfeQyMeBRQgwhMmQ5owvWXsJwUlnsMAGtrA1dV\nGHt3ibtzgG1YA8MADe4X24gtrcKJspYCazGtLXVNWG1qWZa6zNy6NKMdu+kyB5zbW3TgDDAddQEQ\nlo2ppDDW4UoGWcbM3DCE3Fn3wjLuiHGet22d3622tcPbuECswiH4cXFJHHnKz8fLDQzMXN3nf1ZK\neQYroclXTqnPcbm8qyWzRBqeBrPLL78cu3fvxve+9z3ce++9ICL867/+KxRFwTnnnINly5ZVRZhU\nKoWLL74Yc+bMwdq1a6GqKm699VZcdNFFWLt2LQJOT+ImNm3ahEsuuQTz58+vasfKfglkbN0ZRtqb\nvaGAKcyVplg5dprlc5BbvgRNo4FAwL5cTM6Xj+k1Ao7Zsl2moYsXFiDcXQFiCy5PvXLkjUXT6Zom\nLB5NB77W73jHWCipJPRYFJRKIrW9XxhVmD4RGWNQJnaDt7aL/+/6UIRRMeUhACyhm0FAzRAfkVZo\nOzYA8Rh4Wwda+j4FpqgwYiMiXloogtaPLgQA8AkTwYJhe2ABIAaqRMy+nMzDLUAoAm75aRxxnDHF\nYhChMAmMtQkfktZVAsbSHuuz9asotgWj57YNBoWhiIWIGX5F1+3zR3MnN6fMtLxRW1cMcOVTqG0z\nyiESA1OBcgBAxJVDui8WqGMh3hn5lv5cLp2X+gxWSlPqNp+feFcDB4L1YjY8DWaBQAArVqzAlVde\niVdffRXDw8MYM2YMent7MX78+KoJs379emzevBk/+9nP0NnZCQBYvnw5+vr68Oyzz+Kkk07Kodm9\nezeuu+46zJ8/H//93/9dEr9SDnMzaJjD/DlPOc5OmLecjN+l0+2yTW/y1kzWy0ExABgWvUXq3OrJ\nQ+OUI/1itQpi9mTaFscyRLF/mPmwWR7lySyQEdJe6AGH/pg92JLpFNkZndry6m6tioT+057rLXky\nuNt5ZNM628uK6WwFtrTLLmAO70SpbZuPxmon57aTa9l2M2TK4rU/5LZt+eWUz7syXZXLux7yWqgX\nbwl3eHbhYRgGVFXFscceizFjxtREmA0bNmDatGn2QAYAY8eORU9PDzZu3Og6mP3TP/0TAEDTtJy8\nYih1pmX9JcC+EGxZ3hWjEV8MELj774JBsCgTL3PrdZ9KASjtwiVZIVqI0u8+pyFEvnpb+QHVPpez\n6J3PEOOmtWBbO9ienQAR+Njx5hUC8z4VEYzB/eIMLxAEa2kFjYyAcSFXpq5JDHq6DuWgHmib3oI+\ntB/G8BB4h4hjZhhDAEgYwYQjpkNf1bQmNItRFGGJaOjiorBiWjyqAdvdluAGO81IJaEYhjAY0bS0\nf8I87eREKW3ilm9tC4LEJW8334g2rekI2brMXTZvxXRabG7HFuoPpa4e8tLUiU/V5C2Tpp685aDm\njqKD2Z///Gfcf//9eOmll5AyX3JtbW346Ec/iosuuihvaBg3aJqGaDSaN39gYMB1oOzs7MSePXs8\n8/EK5yzIywwp42A20gJD19PxrArQGIm47YmBmT4QM/JjUTHgRFqFv0FFbO3xYNprhfV7Isq4eJud\nxhUFFGkRPvrMEClEYsAwTEtHp5zWhVcwJi4aB0MwFFUMPGB2OUQk/BaqKlLbtgCJGJRJB4GP6YTa\nMRapHdvAdNMDfWsblNZ2cc6TSiF48OHQd+8CQkHhhX73TgAE5aBp4O0dIF1H6h8boLa0gh18GKDr\nSL71GqAGYAzuA++cIDzOGwb0gT1i0AwEoR5yOHggACMltmhZaxuMVBLcDI7JDAO8rR364D6AiQGT\nEjHwUEhcgDYMGAO7oUyZLrZTk0nhtJcIiETAWPG2LXWWbaVxzjPaqRAfHgrDUHP7mhc+jInJhxGP\ng5G4kI1gMO8F6GrV0bqfZvWrSnTltgLKfg6q0Sa1KqfavCXcUXAwe+CBB3DHHXfg0EMPxZe//GV0\nd3dD0zS8//77+P3vf4/FixfjG9/4Br7whS94YvbCCy9g6dKlefMXL16cN68Ws5HsGU+pMyjntlQh\nGmZFCs6aWdv54YgY6IjEKkHXM8J92LTWGUs4AnAuIlGbQTIN01rPnr1Zg6CpN/vyK1dEzDCbdzhj\nteSsl1VOBm8Whto9BUZsBPrOHaA9u6AzDnVStxgsYiNgjMMYHgLiwnJPG9gjnO4GQ+CBoHi5hcLg\ngQAQi8IY3A8+Zhz0fXvFgxwIIHDIDCjju6Dt2QVj/wAoEYc+MizWrIEAAj0HCy/+e/eIi88Khzr1\nYEFvupQiIqSiI8DIkGlgIQZkIxiydQ4i0MBuUCgsVmwEsQ0Zi+Xoqpw+UizNaqeifShPX/OUxhh4\nJCIue+saENNAEeFRplYrCesCuZdnrCTeLs9BtdukFuVUk7eEO/IOZhs3bsR3vvMdXH311Tj//PNz\n8q+99lp897vfxYoVKzB79uy899Cc6Ovrw5tvvpk3f+XKldi3b19O+sDAACZMmFC0/FLhNhuy0msx\nE0OWa6GM3wnGIl1RcvNN7+5gLG1ZZvrxY4AwYsjH2zDSl19dfgd7WzKPbM7rAJblZiLtr5G3Olab\n1iAaj4l8LSXcZ4kCbT7WZWcjHrOjANDIkCivpTXt7d7aurToGYPa0WnHBtM/3AYR5DPtfYMMc4vV\nMMRABmRE6rZ1xdJnlTCDmmb4Q3boyolyZtm17FeeacwrAeBK5rlireQt1q/K4e32HDRQv43gLeGO\nvPfMfvKTn+CUU05xHcgAQFEUXHXVVTjllFPwwAMPVEWYuXPnor+/P2NLcffu3fjggw8wb968qvBw\ngij7/KZ4frG0cmi88RYDXiaJ+/ZLTlpmSnnyZvNmaQtJGGaZTk7mAE2WkYWjnAw5nHXgXNAYRrpq\nnCFbS0RGYRq3srPLsGTJpiE4DgnTunJ+MmWpRtvmTyuHJu+Mnln1rp28tX8OXPqi3+WtUduWCvWT\ni+zPgYi8g9lLL72Ec845p2gB5513Hl555ZWqCDN//nwcdthhWLFiBQYGBrB3717ccsstmDFjhn2/\nbfXq1ViyZElV+FlwzrCAzNmSM60QjZWWTeNcGVEy4firlcY7FBJOY51GFIGAMIQwebjyBsRZS8g0\nZTfSvPLK68pbBVM4QIYYOCItQEsbEDBN3wGxarOuDYRCYFwBD4ag9hyStswUjGGMjAiZFdOjv6Ig\n+JGZ4OEIKBZF8t23RERmxu3L3ryt3b4UTiR0qnZPATe3LZkSEL4Tk2LVyAMq+MRuYYTSMRasrV1Y\nQlrnVMEQWKQVZOgwBvebq0AuTOm96srZtlb9TO8jlEhU3K+yaYhI1DGRsNs8X1/MKSccEX0BzPXF\nWPPnoAiNt+cgnPscFKHxwrsQjZd6V5Mmr7xk5DznEmnkHcx27dqFgw8+uGgBPT09GBgYqIowiqJg\n1apViMViWLBgAU466SRomoZVq1ZBMbeaBgYGsHnzZpvm2muvxVFHHYW5c+cCAK677jocddRROPnk\nk4vyy+5IjLGCacXy86WRoQvPE5ouznN0PeNFWawcxhg458JTRTgiVj3JJBgJ4wAWabEd58LQM7Yo\nxAXqlNi6jLSAmxenS6mD4B02X4Zm5GND+EVUp0wTDnhTIs2698W4Iiwe29qhdIxFoOcjUNrHCM8d\nkw4SBgiMgYGBh8JQxk0Ab++AMmkKeMdYGMODMOJxUDIO3tYuPi2tUMZ3QRk3ASDzHJArUCZ2IzCp\nW3jwYAzMMAelcAQ8EgFra4fa1gGlpVXIxxWwMZ0ierYZPRqmNaPlWcMZhDOnzxAJYxFzYIGWsi0N\nGWMgXTPPKDV7m62a/Ur0IU0Mlql0yJii5TCWU69y+nS5z4GtvzJo3J4D25+mh3IqkbdRusrOB1F6\n4iiRA0Z51q1HHHEEnn/++aL3yHbv3o2PfexjeP3112siYC1RyZK9USAiwLxEy0xPFADsC7HMfCED\nEPHTdB0AA29pyV9opTLFY2kXTRALMBYKpldpaeGzaHRAN0DxKAAm/Dmag4IyfqJ4+Zoe8G+8/U58\n8/LLRB1DYfCOsYJbPCosAhUVfFzmuSoZBvQt74urBFYaAPWgHrBAUMhsxphj5uqTAFf92mWaBggE\nCI/6SpbnjmTSdAMFofMCL6hKYLctYyL0jhcaq51KoJHwH0o5O9v+2E/t7wfC9mJXV3vevLwrs2Iz\nhQMBbjOofLOqUtJqSmPJDogtOOt3RHaauCzN7AvHwsy+hvJafGBtk8A2FMn4HRMXk5m55ei8tMwY\n0uVYjoNNh8F2vc06MtuDO8RKFBDblc6tVcaEdahJY9t5AGCBoLndRrZ3ecaVzDRk1sH+kDOf59eF\n+U+5+vWs85JoyHFZ3Ed9ukKaRsvbCN4SuchrzUhEWLRoUVHlNePqxkLeg/IC+V7TakUjjBZM6ybn\nhW3rxU/CEIKIxKpB09LhWWolr+Wl3traB8B1PdcrvpOWMXuVYA82lrzWFQbDMC9Ua5ne8M1L0IK3\nYm715V4oztCVJQcgzpvCYXHB3ExjpryUvrJu6jfzESFLXoJ9jyqjjoo4kyPAHvjK1W9hnYvICqyU\ntlXEtY+MPlIObx/SNFreevKWA5o78g5mZ511Vj3laAgYS5u8Og9eC6UVyy+WZiTi4sWrqsJvnwea\nHERaxAvdjKdFJA73oWkZF2t5KAxStZwySdPscxdEIuCOu06MMRhJM46aYbhf8k4kRL5pWMLCEWGK\nb5gOmsyglU6eNg2QYQzCVBXEI0AsZssLAIiNQNs/IO6gdYwRW37jusCGBoXD3ngMCEeEx3hdE4NW\nLGrLa4wMQx8eBAwDSucE8NY2cZY1PCSMbwwdXFFFmBotlRm7zEzL0K+lU1WFwcJg8TiQTIBA4IGg\nrR8eDIEUVegia2ad0w5EwlhF04SRSiDguV/xcFgM8gTvfTEUBqyo0WX232o9B+XQONEM8taKdzk4\nELYYiyHvYNaMkaNLRXbH8DrTcn4vdXbGAkEQS+WetbjQGIYhXEtZL1uHw1rrPCpjtmYaX2Tw5Epu\nHCouLPZIY2As99KpcBWliAEPEJezTQtBhMJggYC56nLwDoWFBZ+hg6mBtKd3IlDYpGFMrMQUYUTC\nVWF9yIwAeEs7jKFBIGleiFUDUCd2Q1NUUHQExvAgGBngk7pNw4dEWnmKKvgkEqDoiJAlGRcro0AA\nSCVgxJgYMCIt5oCfrne2Lq00IgLFYgAZokzL4wRXgEiLMHpR1Ny2M7dS7QErTx8hItEfwOy7dCX1\nK7e2zYLoQ0kxgQoGRdt6oUkKYyIEQ3YA1bxyeJU3T1opNG6/rcdz64Wm3rwlMuEpntmBDLfZX740\nN9qSaTg3z2xyL1Dn0JhbagDsl132PnpZ8jKWlsONhjF7wGOMAWasNThf1KpqR4sWL3guLCatMpMJ\nMaCROKMR/MRVgrQOuB2LjFmhVwA77AhzrpYMAm8fI36nqrlRoA0dpCUBEgYl1hYlCwTFQKfr6Vhk\nDku4grpKJsUWplVvp664w4TfpRwv/YpZ7RAMZvhmrGpftFbhoAyP/wVpUimxeiXKuMBfMu8q0DSS\nd6k09eIt4Y5RPZiV0zEYK/0QtmwaIOPMxc/yWnQ2CGlDCM8g25DEWY77Tx2rKHPFlyFLOjPz/wXQ\nMF3VkbcbTW4ZxVcBo1VX5aCRvEcTRvVg5twC8rrML0RDmuaJxuk7sCAfno7wS7pedXk90wTTqyBL\nDlcawzDPccgOHElG+k6W5bGdiISZePb2ZlsHrOjNliNc3tFh60Dfu1usEFNJYZpOBGNkyDQkSeuK\nBdIrHaejZivNlrFYvQMl1LtA23tpEyvNclGWtxxy9jWjeNuaK2FnHfLzNuugBsDMdvDap8utdyW6\nstN03dwFqD1vLzT14C2RC88hYA5EOJf5zuV+oTS3fNI0GKkkmGGAGAN3nEtkl2N5qSdFzYj87FY2\n51xY3XmUzau8paZxRQVFlHS+6S/R+VtnZAC0qMJQQjdDl2gp20s9GeISN9NSgKKCBx3GE6EwaEL6\nXhft2S0uZ0/oEhewdQ2p/vdA0ag4z1ED4jyoC1DaOoRBSKQFnHPoiQSQSop6hCMimgAV9raeo38r\nAgG5RCowdUCppKijNXDk6yMOGqvvZfwulYSR0mzP9vliqxFIOAw2dBAVNxoRgU9bYBhGfi/zqRQM\n8yI8FMWsd6QkXdWjfzph9zvLOz/nwhiohs9BI59B53cJd4zqwcxtxpcvr2C+ooArphd2luuyxvnX\n8lKPrM5ZNu8a0eQtx7RaJPPlYeWnLxeL3xqWlR5BRIq2VkpWQVYcsXy84zHhsV5RoITD4JEW8PET\nwa0X/769gkgNCA8kgLgIzIQ1JtNSwrAiy7M6c7SPV105aQxdF7IBoEBQrALNc7l85RiaZnt6RzAE\nqC5GI2oAXA3UrA8VrLcqJh/ZvMvRVTlppdA4QUTCQjMrzU/y1oJ3qRgNlozAKN9mdO5LW9/d0qzv\nRdNc6F1pKuVTIK3mNJZvOBeDFPHd/Gve+2KcZRhP2L9zu3Bs5RPZs1FmbnnZNJwLQxFLh0GxumVK\n2hO8ZUiSl3cZ9bY/ZoRtALb3fWebuvJx0MBJU6APFZXXY18rp/9WXE6daRotbyN4S+RCrsxcvhfK\nb5bZWy1o7O+A8K5RiIYxsVghyms+npcPYBu/cMr18m+t74hgD3wZfBgTg0cZvAul2XV36MBLOcSQ\ndvNlrWpL5H0g96sDQd568pYDmjtG9crMQqHZUHZ+tWiakTdjTNzTMr3YZ//OhqYBZLqhcvhn9MyH\nc5sPFDM4qGGAYlEYw0MwhgfFuREIiEdFuQ6zc2behbPuVFVVV6oqHBorZrQCDzQ8EBQGMQz2Nq0X\n3s3er5pN3nryrkReCXeM6pVZNsrdl65kP7uSMqrB1yrH68PCOAdCoSI/cpSVvUpJJQHdEGUU4Onk\nQ0ODwnrRMITRBVfAIhHw9jGg6Ig4r1NVYRSRTIEFA+IsC+IlQETiIrDlKqsI76I6UFTbb6OXNiAi\nYdQR4uIyskdUq1+V+iLMx5c0TXjpDwTMiAAo3hdKRGY7BWFZt5Yjb6mopq6qTUckrIJBhu1IXCIT\ncjCDt+2C7BdXPbcq8vGuh7yl8gbE6oVSKdMDvp72i2h5lEfmTLOQbMbQfrGaIQO8tRUAg2KGwQFg\nGwBY3uwFrZrmaZWZSqV5Z8leD10xxsQ5YyTiiaYe22altG2GfhO6ValcPVfKW9fsaNIMzBuNi7yF\neFdV3gK8q9q2iXQMRAl3jOptxuzlvvOTnZ+PJl85hfJLpSmHd7XkLaSrgjREYCw9cDDGRBoy04rq\nyhG+BaZxiTOOlU0DODzjuxlHOHhntbMXXbn1jarpyqMuGtqvnPGpCTntWC3ezGRSbjvVW1du/aIm\n8mY9OxK5GNUrMz8c5lZKUxfe5O79vSCNqorLzQYJj/SWGyrLA34qBQQCxcsJR8RdMkAEGc1DQ5bV\nIpGYwTrO0IjENh9MX5PQNJDjPM2rrpzwROPV2MOpXweNn/oVsbR+7Xd1luzV4E2KAmbGnyTTJ2k9\n610uTc15qyqQ1HP4FcNoMcsHRvlgxlj9veaXQ+NEveU1YlFhsKAoQDCU/+Ktk8YwwINBGCCxvZeI\niwutigIKhQDzQjNxnnPBPLuuSjgCCobAwi3gwWBe3pxzccHZ0HP8XhIJb/ektKbP3fKUY5dVif60\nlLjrRiT8QCqKKw0ROQxCxNqHAbYzZD/1RfsCualfmLpiFerKlU+LaCee1U6NfA7qTZOdxgMBkKra\nQXAlcjGqB7PsWVAtZ2+VllNI7lrKy8IRcf6VSoLFoqCsS8jO3xpm5GYYBgzLy78aAGJRIB4Thhvh\nMFiLmvagkUfejDTGMngWlJe7e59P57uXY2gpMcgCBevoKU1RwSOq7ZmiqH4NHfZdOjNGml/7ou0e\nzNwGqxXvfO3kRDM8t9Xm7XSQLZGJUa0Zt71q53dPe9kuaeXQlMu7LvLqaSOOHO/xThrDsGeO9oVi\np8IVR+RmxSUSdSN1ZVkZMu560dr58cw7j8f5HP1bUa5LoPGaVk/9HvDPgY94S+RCrsxKzM+XZnWy\nUmiqwbscmuy0Yv8HYF5Czn8ATUTIOFmjzMvOzt+Vo6tCda+Krpi5yiDKsXYsqZwG05TVtvI58PT/\navMuV1dyQHPHqF6ZWWAsd1snu8Nkdy6vNNmzt3LLaSjvUEispBQuDBTy0XAFLBAQA4O1QjOjUYMx\nwLF9UnNdEQlZEwlvNMGQuUJi9kCczbuQvK68kx55l1BHIhLOmpPJjMvX9exX5dDU9TkgM4qBqf9G\nPoPl0BSTV8Ido3pllt1R3GZKzrRi+V7SyqWxUCrvUuvolsZNp8KWDvLpgnMOBEPCAa9Tb2bk6kp0\n5YSXdiJdF1aNugZQMMOgwrWO5h2wfHUkEhe+hfcTpTBvQxdhfjRNRLcuwrvkNjGjj5PpYd+KMF5O\n29aLJjutXBoLhWhI080IDkbGbyp9DvymK4lMjOrBzO78WX+LpZVDU2k5heT2o7wN560oworQ9OZf\nMZ9YVPxfN4Q3/0LlcAUsWEXeWWksEDRjxwk3X8xhEVqWrupIU4/ngAUCrlc4GiFvLXhLuGNUbzO6\nHcK6pVnfvabVi6aRvJtN3orLIfMsjftEXvMyuS91VWeaRsvbCN4SuZArM5fvhfKbZfbmV5pyy6kG\nn4rqwMytR/OcquG64gpI18AM8k5TLd4+pGm0vPXkLQc0d4z6lVn2Xz/OHN1mf36VF4A4eI+OiLOd\nOvCmVAoUj4GiI+75yaTYJjR9C5bFJ9IiYqeZ8dOqrfNSaXg4DB4OA6Fg3Xnn6jch9JtM1JR3Mz0H\nteQt4Q65Mivw/+y0YjMor78rRlMorV7yCu/lKSAlXD+xYNATbyISZzpgGZ4vSuFd6uyXqaq4nKzr\nrjQsEAAxBmS9DErRFWPMNrTIzq+0bfPqP5kQFouhsPvla67kjdfmtV7VkJcFgiCm2VuwteTtBj8/\nt7XkLZGJUb0yA8yZJbmbw2anudHWgibnZezyEq65vIYh/CeCMqJKF+PNCWy8pwAAIABJREFUGBPm\n+MEg4PBWUFN5GRMGH8Ggu644t+Ob+b1t7bRUUgzORHkvqtdL3qLlWPpVqqtfXzwHJcpbD94S7hjV\ng5mXjpH9m3KW+9WiqTdvykrzQlct3pXSVJt3oXQ/ylsqby90teBdDk2jeXuhqwVvicKQ24wFvlf7\n4LZSGk/lWJeanVt8RGKW78FTPGkaoKogxkQQSvOuFmV7oXcrh8SFXij5TcWrVUeAQFl+GEsup0Qa\nJ2retmpAGJsYhhkFwJuX/1L5kGZGGDBfnAfMc3AA8ra+y0HOHb5bmfX39+PSSy9FX18fTjzxRFx6\n6aXo7+/P+3tN03Dvvfdi4cKFOOaYY3DyySdj9erVnng5t8asv8XSyqGptBznpxANJRLCyMFp6JBK\nwYjHxPlLAT4g04N7MgFKpcA5FwYGkRbwULg472RC0CcK8/Gil0K6ooTgQw4+ZBgAUUl8/NK2+fK5\nooiIwpEWcDMMSrXlpXjcbO9kU+jK63PgF3lrxVvCHb5amaVSKVx88cWYM2cO1q5dC1VVceutt+Ki\niy7C2rVrEXBchLSwcuVKrF27Fvfddx8OP/xw/OEPf8BXv/pVdHd349Of/nRBftmzID/P6ArJbX1n\nWSHsiQgIBMADAaAYH8bEy9P8buUxxjzJy4IW7+roxS0tXcd0PY1EXMQnYwwItwDswJqtO/VfbXlZ\nOGy3d73qWI/nwE/y1oK3hDt8tTJbv349Nm/ejK9//esYN24cOjo6sHz5cvT39+PZZ591pVFVFV//\n+tdxxBFHQFEUnHTSSTj88MPx5z//uSi/UlcFXtP8MHvLSSvwuwwaj7Pf/Pml1aviOloBNzkHmFwV\nlExTcXs3nqbR8jaCt0QufLUy27BhA6ZNm4bOzk47bezYsejp6cHGjRtx0kkn5dBceeWVGf9PJpPY\nuXMnuru7i/IrdVVQSlq9aBrJu57y5s1nmd7u5aqg+Xk3o7z15C0HNHfUdWWmaRoGBwfzfgYGBjBm\nzJgcus7OTuzZs6do+USE66+/HuFwGIsXL/YsV6HZUHa+l7RyaMrl7Wd5SdfFheZYtKryZpQTaREm\n9w4DlWbUVa3kPRD71YEgbyW8JdxR15XZCy+8gKVLl+bNLzQAFWvMeDyO5cuX4+9//zsefPBBtLW1\nFZWHkkmACAgFATQ21AJReVZKjZLZM19m/1MaXRHeGQ+5eV7HWP42bGTbigvomvDkHgoBHtu52roq\nhaZRKJe3758DiZqjroNZX18f3nzzzbz5K1euxL59+3LSBwYGMGHChLx0e/fuxSWXXIJAIIBHH320\n4G+dIM10t4RQbl7WMj/7RVnP7Q0/8nYiH41YLSmAaY3nV3mrxTsvjaalLQaz5GjWtq2lvI3k3Qy6\nknCHrwxA5s6di/7+/owtxd27d+ODDz7AvHnzXGmGh4dx4YUXoqenBw8//LDngQwQLxaGzO2C7G2D\n7Fmt27ZCPppS0grl+5F3s8lbKW+3vuGZjyWTSGhqXTWbvPV4DhqhK4lc+Gowmz9/Pg477DCsWLEC\nAwMD2Lt3L2655RbMmDEDfX19AIDVq1djyZIlNs3dd9+NcDiM22+/HcEs/4HeQPZFY+cHQM53r2n1\nomkk72aTt9Jy3PqGZz4Ktwc00lIHvK5Gm7yN4C2RC19ZMyqKglWrVuGmm27CggULwBhDX18fVq1a\nBcU84B8YGMDmzZttmp/+9KdgjGHu3LkZZR100EF45plnCvJjLa0gw7AjB1uzHuu7W1qx/FqU40S1\n+RiGYc/4ql3vcmmy62q3Vx1416JtuaKCWlpBhi6++1xev/J26xt+lrdWvCXcwWgUa2cUVx0AhAGM\nlgIYFxemfbyDccMNN+CGG25otBgSEg1HKVuNu3YN1VCS+qOrqz1vnq+2GesNt31p5/dy9rLLpSmX\nd7nyAhADGWD65vO3vI3m7fw0g7x+4C3lrZ28Ernw1TZjvVFsZeaWny/N6mSl0FSDdzk0uXvvlJNf\nK97l0OTKW1/ejGVuwdaLd7nyNpK382XbbLpqFnnlgOaOUb0ys5D9knLbp8/uXF5pqlVOtWkYY+bW\nIgMoPWA0Ut7sWWvVeZPw6k+JBJBVTg6NYYgI1ZrmOpAd8LqqkMZPuipE00je5bathDtG9crM7QUP\nIG9asfxaleNEVflwDqiqCKqYFcm40npXQ1f5dFAubzIMEfJE10CkgnM1Lw2lUiL8TdYjUot6l6ur\nUvtvo+WttBwnmkHeWjwHcmDLj1E9mNkvrqy/xdLKoam0nEJyl8OHiIB4TPzVDSAcrkm9y6GpGW8r\nArZ5haMQDQsGAQTdy6mXvDWiaWbeTjSDvLXgLeGOUb3NmH3I6vy45XtNqxdNxeUQCQNGzptD3gby\ndusbfpa3WXk3o7yN4C2RC7kyc/leKL9ZZm/FaIgIYKZhg6E3h7wN4u0GP+uq2Xk3o7z15C0HNHeM\n+pVZ9l8/zhzdZn+V8mGMCY/zwSBYMFS8bF2HkYiDoiNiRedTXdWbRsrb3M9BM+pKwh1yZVbg/9lp\nXmfulc7oCqVVU17GWI4T4Lzycg4eCIKYZq/oKuHt9Xfl6KpSmgNV3kby9vNzUEt5a8lbIhOjemVm\ngaiw2yQrLRu1osnuuNnlNERexsAURazkSpS3Yt4FaHypK5/KK3XVWHmrxVvCHaN6MPOydM/OL2e5\nXy2aRvMuh8bPuiqFplC61FX5vMuhaTTvcmjqIe9oh9xmLPC92ge3ldKUXQ4RSNcBVfVO08h6k7jc\nDCWPvIYhvptWmNnlkK4LC03zZUBEgK6DGLMtN8uR14mG6MqM7gDT6XbD+1WDaEYrb+u7HOTcMepX\nZtl/i6WVQ1NpOc5PybxTKRjxGJBM1E3eSmgomQTFY0DCXV5KJEDxmPjoekZbMsZM2ng6GCZjoEQc\nlIhn6MAvbetZL1YdEvGmkLcW5VTyHBxIupJwh1yZufwtllYOTaXlFJK7YFogAB4IAE0yA7UvK+fL\nD4VAhgqKx8EScSAYAlTV/h0LRwQtYw6aMJzwW9t60kueOvhV3lqV40QzyFsL3hLuGPUrs3yzP7d8\nr2l+mL3lpBX4XdPJa24zAgAUJbccjzN4uSrwH+9mlLcRvCVyIVdmLt8L5TfL7M2vNOWWk/EdDAwA\nAWBEdauDE37WVbPzbkZ568lbDmjuGNUrMwuFZkPZ+V7SyqEpl3e95CXDAKVSoFgUIPdL01XnrWmg\neFw4/XX+TlXBQmEwRQV8qKta8gYg9BJLnxn6Wd4D7TnwA28Jd4zqlVk2GrkvTVSelZJXmUnXRWTp\nQADEeXkPB7P/qYmuiAhkGmkgGBIDVR4xmaraW4yeddCg9i23bfPC1EutXm8H8nNQbcizLP9ADmbw\n/xZj9gu71HLIMISHfAAwFLACpt350hjnZsiYALJRtXrHY0JWJrYRoaRl9VpmpbqqN02p8gIw9RKp\nqbzVKsdPz0GtaOrNW8Ido3qbMXuLwPlxy/eaVm2afPJ6LgcQ50sioWF1LFoOCS/+DdVVnjS3vlEN\nPrWSt6bt1CAaP+rKrV/Ug7dELkb1yswvM61KaLyUQ4yJlZVhiMvDLpenfSGvqgKplJCTCOTIqwYf\nO40MkGMeV86MuOG6OoB5N6O89eQtBzR3jPqVWfZfP850K10VMMbE/atQGCzkwUN+lepdKg0PhoQn\n/0iLGHwr1DkRZaYZBox4zDSe0HzRtvWmqRfv7BevH54Dv+qq1HIk3CFXZi5/i6WVQ1NpOYXk9sIH\nQM5ZmS9nuo6BqNxyDE0zPYgQKBwBOBf5nIOHIyBNA1PUqtWx0asCv8lrJBNAKiXch4VbAOaf58Bv\nuqpkFSiRiVG/MsueDTm/e51BlUMzWnnXRd5UEoA5MGZZbjLGhGl/mauCA05XtaAxr1JAUQDmX3l9\noasy5ZXIhVyZlZjvZYaU/ZtyyqkljXP7rd68i/0mXzmFysrNY6blJuU1Xy9VV/l0JtvWO6SuvNMV\nKkcOaO4Y1SszC9bLyoJbJ8/uXPloqlVOvWj8xDsbZfMOBsG4AqbwtKf5PDREJC6EJxO2N34/6qoQ\nTXZaw+UNR8SqmNITEb/oyo9tW057S+RiVK/MsjuS1YnypRXLr1U5TjSDvJXQZNO66aBYOVxRgEgk\nb5k5NMmk8KrBFdvwpBl0VUhvjZSXKQoQaZHPQY15S2RiVA9mVsfI/lssrRyaSsspJLcf5W0m3iwY\nBILBppG3Uppm5u1EM8hbC94S7hjV24zZh6zOj1u+17R60TSSd7PJW2k5bn3Dz/I2K+9mlLcRvCVy\n4buVWX9/P1asWIG//e1vICIcffTRuOaaa9DT0+P6+6GhIdx+++34/e9/j/3796OrqwvnnXceLr74\n4qINX2zm08yzN7/SlFtONfjIVUFz8G5GeevJWw5o7vDVyiyVSuHiiy9GR0cH1q5di2eeeQadnZ24\n6KKLkLLMfbNw1VVX4b333sNjjz2GDRs24MYbb8Q999yDRx99tCi/Zpk5us3+/Cxvs/KW8vqbt3wO\n5CBWCL5ama1fvx6bN2/Gz372M3R2dgIAli9fjr6+Pjz77LM46aSTcmhOP/10zJ07F93d3QCAj33s\nYzj00EPx+uuvF+WXPbPyOtMqh6bSctxQiryFVhq1kLeRuqqUppl0VYq8jeTdbM9BsXLqQVOsHIlM\n+GpltmHDBkybNs0eyABg7Nix6OnpwcaNG11p/vmf/xnTp08HAMTjcTz55JPYvHkzTjvtNM98iTKt\n5hjLDSuSPSvKR5Odlg0vNI3kXYimEO9GyetXXflR3nJ5F6Lxyrue8vpVV9WSV8IddV2ZaZqGaDSa\nN39gYABjxozJSe/s7MSePXsKln3BBRfg+eefx8SJE3HnnXfiuOOOKyqP1THyzXrc8ovRlFpOOTSF\neGc/VNWWd7TqKp8M9ZTXSznl0Iz2tq0m70bqarSjroPZCy+8gKVLl+bNX7x4cd68Yg354IMPIhaL\n4Q9/+AOWL1+OG2+8EaeeempBmlK2Ioot/UulaSTvZpOXqDoGIJXSOOFXXZVDM1p5N5u81l85qLmj\nroNZX18f3nzzzbz5K1euxL59+3LSBwYGMGHChKLlRyIRnHrqqXjllVdw//33Fx3MnMt86y+AgmnF\n8mtRjhP1lJeIQLoO5ojoXGvebnV1ay9nvqHrIo2xustbzXof6PI263PgN11JuMNXZ2Zz585Ff39/\nxpbi7t278cEHH2DevHk5v9+1axcWLFiAF198MSM9mUxCcUQozofsGQ9R7gogO60cmkrLcX7qJa9h\nGKBYFEjEQYlE3Xi71bUQjZGIiyjasSgoOiLkTdZP3mrW+0CXt9JyGvEc+FFXEu7w1WA2f/58HHbY\nYVixYgUGBgawd+9e3HLLLZgxYwb6+voAAKtXr8aSJUsAAF1dXZgyZQpuu+02bN68Gbqu4y9/+QvW\nrl2Lz372s0X5MeaPC5Dl0tSUNzl8Grp4mfeNvJoGC5a4TPHmFb8U3m59o5Z1rImumoB3M8rbCN4S\nufCVab6iKFi1ahVuuukmLFiwAIwx9PX1YdWqVfZKa2BgAJs3b7Zpvvvd7+Kuu+7C4sWLEYvF0N3d\njWXLluGCCy4oys8503Gb9bjle02rF02teBMYGAACwCnXWW+95c2bz5yBIIW8DFQTXTnRzG3rd97N\nKG89ecsBzR2MRvHa1dk5iNz3rbPzvaTVi6bWvGEYoFQSLBAEHJGfG6GrG264ATfeeKMrPSUTAJiI\nn6WlfCGvX3g3m7xSV95ovGLXriHPv20GdHW1583z1crMD6jl2E66DkolATUgXrw+B1MUgIczBzgT\nzge5kWCMAcGQ/Z0cxh/ZaNS8zS+6KgWV6EqE1EkCnAGBYHGCLL7NpKtmk/dAhhzMUJ+tCjIMYagA\nAIoCBqViPrWUtxY0o5V3s8lbcTmxqOjnUOzgqL6Wt8n0K+EOXxmA1BvZh6zOj1u+1zTXfMA8zwHA\neFX4eObtE5pm5u3WN/wsb8N5Z6X7Xt4KaBrBWyIXo3pllm+GVCi/3JkWWR2RSASCdGwzyllpcZpq\n8KnmjNjPumo4b0UBdF18mkHeKtDUk7cc0Nwx6ldm2X9rNXPknINFWoBQGCwU8uWqgIiqUk6lNI3k\nXU7bSnkz03g4AoQjYI5o09XgXa/nwO/tJOEOuTJz+VssrRwae1alKK7pjVwVGIYBJOKAYcAIBsHU\nwKia6VZK02hd+VFeZlqTeunnpfB24kDRVanlSLhj1K/MsmdDzu9eZ1Dl0DSSd3Y+NE0YqACeLxyP\nNl1lz4z9Kq8fdOUH3s2mq1LllciFXJmVmO9lhpT9m3LKqRcNACDr+agn72bRFVF+H4G15p3vN/nK\nKfTCq2u/ahBvrzR+0lU12na0Y1SvzCwwlnkvya3TZHeufDTFtga8llMvGiICFBVMDQCMAYZeG96G\nAUqlQJpWlq7y0dRdVz7hnQ2/y1tP3oVostP8IG+pbSvhjlG9MsvuSFZnzJdWLD8fTTZtqeU4UQt5\nOedAKASiYFXktettDlxQVVAqBegawBVAVfPT5OHtRK3aqVSaRvIupje/yVuNcpw4kHXl9RmUyMSo\nHsysjpH9t1haOTSVllNIbj/KayTiINMJMFNVsGAQQLDkcuolbyN1NZrkHW3PQS14S7hjVG8zZh+y\nOj9u+V7T6kXTSN5FaXTD08XZZtGVW9/ws7zNyrsZ5W0Eb4lcyJWZy/dC+c0ye2s4jcJBmgEQCe8n\nFfKuhl7kqqA5eDejvPXkLQc0d4z6lVn2Xz/OHN1mf36WFwB4KAweCoOZToDrybsUGgCgZBIUHUlv\nizbRqqCZ5K20nGZ8DmrBW8IdozoEjISEhITEgYFRvTKTkJCQkDgwIAczCQkJCYmmhxzMJCQkJCSa\nHnIwk5CQkJBoesjBTEJCQkKi6SEHMwkJCQmJpocczCQkJCQkmh5yMKsC+vv7cemll6Kvrw8nnngi\nLr30UvT39+f9vaZpuPfee7Fw4UIcc8wxOPnkk7F69eo6SuwvxGIx3HDDDViwYAGOPfZYLF68GM8/\n/3ze3z///PM477zzMG/ePHzqU5/CN7/5TcRisTpK7G+Uqs+nn34aZ511FubOnYuPf/zjuPnmm6U+\nTZSqSycuvPBCzJw5s8YSStggiYqQTCbp5JNPpq997Wu0Z88e2r9/P1199dX0mc98hpLJpCvNHXfc\nQZ/85Cfp9ddfJ03TaN26dTRr1iz63e9+V2fp/YGrr76azjjjDNq0aRPF43H62c9+Rr29vfTuu+/m\n/Pa9996j3t5eeuSRRygajdIHH3xAZ511Fl199dUNkNyfKEWfzz77LM2ePZuefvppSqVS9NZbb9HH\nP/5xWrFiRQMk9x9K0aUTjz76KB177LE0Y8aMOkkqI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LaK6sNdK0tnFMJ+jJyrgGdQvbrf09DIjPrfQ9rUyFURToYmrl6k8SMm+KkCwzXkeS7rHe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\nsPqFpC4R4myi+7PriDj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CvvUddVwcQypIBmWs7xu1aW1aOF1BrqY95mpNeHCh8GAId85i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\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cQ0DThFiWuM3OxmNDtIN8PHxVA/FiZVbMo0pGn5w9WLvH242NEtYLQyhuN7Ba2r51e2dm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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": 42, "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": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12702 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc_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": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/HSC-SSP.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 }