{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# XMM-LSS master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) ultradeep data\n", "\n", "This catalogue comes from `dmu0_HSC`. We only have n921 and n816 photometry on the ultradeep field.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `object_id` as unique object identifier;\n", "- The position;\n", "- The g, r, i, z, y, n921, n816 aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y, n921, n816 kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\n", "\n", "**TODO**: Check that the magnitudes are AB.\n", "\n", "We don't know when the maps have been observed. We will use the year of the reference paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "33f5ec7 (Wed Dec 6 16:56:17 2017 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "plt.style.use('ggplot')\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy import visualization as vis\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, nb_plot_mag_ap_evol, \\\n", " nb_plot_mag_vs_apcor, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, aperture_correction" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"hsc-udeep_ra\"\n", "DEC_COL = \"hsc-udeep_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_uDeep_XMM-LSS.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "\n", "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\", \"n921\", \"n816\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " magnitude_errors[band][mask] = np.nan\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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Bfk5nfX+xsk5niYiEhAqOSAMxvow6Tmd9f3TnlWewLz2l01kiIiGigiPSCPY9nXX+/k9n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\nNntATXOYNAAAAABJRU5ErkJggg==\n", "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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c33L75RejKAqTRo9k0uiR/OXSC1m3YSOrPvuc1z7+lBfe+5AxQwdz\n1okn8LsTfsHg9DSvj+V0uSgqKye/pJT8klL2FRbxwvsf0tDYxH3zr2Lur2ZH7B1KbIyZ2Bhzr1N1\nhX+OnjyRTx9dyR1PPcej/3ibR//xNlPHjuHVu2+P2iUGhIgmAQUtDocDa0teRnJyMg6Hw+99rV27\nlmOPPTaQ5kSlNGuH9YdaMr4D1e1iiR2ZzO1BS/Z4AL7dss3noKWpuZk7n36ekVmD2sqIG/R6Vl4/\nH4Nez19ffR2Xy8WNf5zr94W+2enk2gce4t0vvuTauWdz4/ld92XQ6zlpxjROmjENR00tH3z5Fas+\n+5zlL77CvS+9yrGHTebME2fxm5//DINBT0FLQJJfUsrBtq9LyC8upai8vG3aYqujp0zi/j9fGVU5\nGSI0EuJieeC6q/nVz47ii+++54bz5kjAIkQf6TVoWbJkCZWVlV0enzNnTqfvFUXx+6L09ttvo9fr\nOf7447vdZs2aNaxZswaA5cuX935R9pPBYAjZvjty4cbpKGNwRgZ5P27BYrGgT0zAEIRj2+12srOz\ne/w9mh0ZuPXa1NyJiYlkpKaw6afdWDrMeNDp9Z2+9+Rvr/+Dn/IP8uZ992A7pHfn6cULiY2J4aHX\n/4FOr+eOeZf5/BppaGzi8nvu4qP//Je7rryc686b0+tzLBYL8845k3nnnMmegwW88ckaXvv4U65f\n8Qi3PPI4zYcMw+l0Ogan2RiamcFxR05laEYGwzIzGDYog6EZ2kdcXCzuIAWV0c6b18VAcOYvT+Ls\nU06W10ULeV101h/PhyElBX2K79eoYF5Xew1abrvttm5/lpSUhN1ux2q1Yrfb/foDff7556xfv57F\nixf3eEGbPXs2s2e3J/OFalpy3015roCqKqwJ8RSXV+BwOFB0RpR47ypn9qSkpISEhIQefw+1thY6\nTMc7cvw4/rfph05T9Hqbsldqr2TZcy9xwvQjOXbyRI/b3j3vMlS3mxWvvk5dfT2LLr3Q68Cltr6e\nS5doxa6WXv0nLjj1FJ+nEKYmJnDVmTlc+fszWL91O//8+hviYswMzUhncHoaQ9LTyUxN6XGtl6bG\nBmLMJqlZ00Lq97STc9FOzkVn/fJ8VFSgeLecWicRM+V5+vTprFu3jpycHNatW8eMGb5Nmd24cSPv\nvPMOd955J+YomnIVTOkpVuobG6mpryfREngibl1dHXV1db1HtcbOU3SnZY/no6++ptRe2TarqTf3\nvvgq9Y2N3H75xd1uo9PpWHr1n9Dr9Tz59js4XS6v1kpx1NRy4e13s2H7DlbeMJ+zTjrBqzZ1R1EU\npk+cwPSJEwLajxBCiPAJqHRnTk4OmzZtYv78+WzevJmcnBwAKioqWLZsWdt2K1euZNGiRRQUFDBv\n3jzWrl0LwLPPPktDQwNLlizhpptu4qmnngqkOVGpNUAorbAHZfZQeXk50EONllamzkHitAlaXst6\nL6c+b9r5E298+hmXnH5qr1NlFUVhybzLuCzntzz7zvsseuypHlc/Lnc4+MOti/l+5y4e/78bAw5Y\nhBBC9A8B9bQkJiayePHiLo+npKRw6623tn1/3XXXeXz+I488Esjh+4XWNWqK7XZGBaFOS2sXXE+z\nh4AuPS1Txo7GaDCwftv2Xhf6U1WVxU88Q2qShevOPcerdimKwu2XX4xBr+eJVbk43W6WXf2nLiXv\ni8ormLvwdvYXl/Dc4ls5YfqRXu1fCCFE/ycVccOsvaelMijF5XqthtvqkAquMSYTk0ePYoMXPS25\nn/+bb7du4/5rr/ZqIbVWiqLwl0suwKDX87c3V+F0ubjvz1e21QzYX1TM3IW3U+Zw8MqS2/jZlMle\n71sIIUT/J0FLmKWnaFPGS+x2cLlQVTWgGiDeDg8pBiOqTgcdhmmmZY/n5Q//SbPT2W1ial1DA/c8\n9xKHjRnNH355os/tUxSFWy48D4NBz8q/v4nT6eKvC65hT0EhcxbeQX1jI68vvTNoCwEKIYToPyRo\nCbPkhARMBoMWtICW1xJAdVKvh4dAGyJqbGj7dtqE8TyT+x4/7t7D4ePGenzK395YRVF5OY//3w1+\nr2asKAo3nj8Xg07PA6+8RnVdLeu3bkdRFP5x7xImjhzh136FEEL0bwEl4orAKYpCWsequAEOEZWV\nlREfH09srBdrcxw6g2hiz8m4+wqLePLtd8iZ9Yu2dVcCcd255/B/F53PJ1/nYTaZePu+eyRgEUII\n0S3paYkAWlXclgJ+AQYtresOeeWQGURZNhuDbKls2La9rbptR3c/+yI6nY6Fl/wxoDZ2dM05ZzJ1\n7BjGDhtKZqrvS54LIYQYOCRoiQAZKVb2FRVr3wQ47bm3dYc6OaSnBbQhom+3dO1p+c/GTXz01dfc\nfMG5ZAW5YvDxR0ztfSMhhBADngwPRYBO6w8FIWjxvqfFQ9CSPZ6DpaUUlVe0PeZ0uVj85LMMzUjn\nit+fEVD7hBBCCH9J0BIB0lNSKHdUaWvi9OXwkLFrFeJp2VrF2I55LS9/+E+279vPbZddRIyHQEcI\nIYToCxK0RID0llotZZWOgIIWt9tNeXk5KSle5oZ4CEAmjx6J2WhkwzYtaLFXVfHAy6/x86lT+PWx\nx/jdNiGEECJQktMSAdpqtVTYGRTA8JDD4cDpdPrQ09I1aDEZjUwZM5pvt24D4IGXX6Omro47/3Rp\nQPVjQkJRQFXD3YqBx8PrJuhi48Da8jouK4amxtAfUwgR8SRoCRddewDQVhXXHtj6Q16vO9RC0elQ\n9YYuvTvTssfz/LsfsGHbdl7+6BMuOPUUJowY7ne7QkOBwSMgf0+4GxJcHv4eEUVvwDR1BhzYD44K\nqKwIXkBhMII1FVJsKDFxbQ+rtgztWCVFUF8bnGOFU0ysVh9JAm4hfCZBS7h0mG7ccf2hQC5YPhWW\na2uHCeq7Bi1Pvv0O5y+8A0t8HDecP8fvNoVMTCxKahpqRSnU1YS7NYExGiEpBZKsEJ8IWzaCsznc\nrfIsyYqiKChx8RAXD4OGotbV+h/AKApYkiHFBonJHnvzFEWB5FRITkWtqYLSIqiqDNIv1Md0ehg5\nDhrqYO8uCVyE8JEELeHSIWixJScBga8/5PW6Qx0ZzVBf1+mhadlakbn8khLuueoKrImJfrcpZFrX\nPBo8DHZuCW9b/NEaqCSnQFxCp4u1mmCByvIwNq4HyV0D4s4BTI0WvDjsPQcwrcM/1lQUg/cVoJUE\nCyRYUBvqteDFXhZdF/7Bw1FMZjCZUYeNhn0/AVHUfiHCTIKWMFEMRlS9HlwuTEYjVkuiVso/gOEh\nv4IWD8m4GSkpDB+USUJcLOf9+mS/2xNScQkAKHEJqNZUsEfoRb4joxGSUiHZihLfQyAYqUGLwQgJ\nPQewSlyC9rfJGtYewFRWQHOT9vzkluGf2Lge99MbJSYWho5EzRyi5byUF4PLFdA+Qy45BSWl/X9T\nSU5BVVXYv5uQBS5WG9Q4oDlCe+6E8JEELeFkau/lSLcmtyyaGHhOi9ezh6DbpMpXliwmMy0NQ8sK\nzBEnrsPq0oOGanf2HRZ/jBhGU1uPihKf4N1zEiyhbZO/WoaGvNUpgGmoA3Ns0JO5FaMRBg1BzRgE\n5aU9J+3q9VrOkKfPOr323FDlExmNWg7Woe23pmqBy4HdwT2eTgdDR6Ikp6K6XVBSqPVMReL/iBA+\nkKAlnDoFLSna+kOqiupyofgRLJSVlWG1WjF0s0Kz5zZ4DlpGZg3CYrFQVVXlcztCTqcHc/vaSorR\nhJqeBUX5oTme3oB+8HCIr9RyMBQFFB0oeP6MoiVa6/R+9SgoZjOqyRx5M2aS/V9moWNibSgoOj2k\nZWpJuzXV2oOdghN9rwGTmpgEu7eF5sI+dBRKN/+XSopNC1yClVRuMsOIsW2vPUWnh8whqClpUJgf\n/F48oxFsmRhHjIKNeV2Gm4UIJglawskc0/ZlmjWZvVsKtW+cTu2N1kc+VcNt5aHAXMSLi+96AUrL\nhIrS0Fzoh43CkDUUxeTFIpTBkmDRfp9IYTRqScIRTlEUSPSvp0qJT9DyTPbuIqjDNbYMlMSkno+d\nmoaquuHgvsCOFZ8II8Z4zBNSTGYYPloL7Ar2B57AHhOn/d8lp6DodOji4mFMNuTvjY7hWhGVpLhc\nOHVIxk1P0VZ6VlXV7y5qn6rhtrUhCivcxnUdZlF0Ohg0JPjHSs9CsSQHf7+9ibQhoqSUyKvTEwJK\nklVL7g4Wc4zXr0vFlgFZARw7NR1GT+g1sVmJT0AZOxGGjtKCUV8lWGDUeJTxk1FSbNr/Xuu+dXqU\nYaNbfo/+/3oRfU+ClnDqGLRYk2lsbqaqts7voMWnxRJbGYzacEc06ZjP0oGSnBrc3oAEC2QODt7+\nfDp2hPVqBDA0FG0UW4bWgxDwjhQYNlobnvH2KWmZkOlj8K0oMGQkypARvuUcpdhgwmGQkaXlwPR2\nDKsNxk1GGT2h956jtEwYNV4bnosUSVYkkIp+ErSEk6l9eCi9JXm2pKLC7xlE/vS0KIqiBS7RxENP\nS5tg3eEZjdoFJ0wBnWI0dRo+DCujqefZTv2QkjXM4/Run2QM1qaD+3rsjCwtkPCGwaj1rqSm+Xwc\naOkZyRwC46d4/n31ekgfBNlTUYaN8ilHS0m0wLhJ2vT2cDKZYdQElBFjwZYR3raIgEnQEk4mE60X\n2NaquCX2Sr8KizU1NVFZWen78FBbO6KEyazNGOmGEhevFSoLSMsdsj9d58EUKUNEA6iXpZOhI/3v\nuYtP0C72flIyh/T+/Nh4GDcpKAGlYjKjDB8NYyZq+zWatBuA7MNRBg3Vgmg/98uY7MADQP+OrvWY\njZ+sBVAAgwZ36uEW0UeCljBSFKUtYMjosP6QP/UmKioqAB+r4baKpmRcb+5cM4doM4z8NWiwVsQs\n3CKhDTBggxZFp4MRY7Wy+77Q6WFo4L10yqChYOtmmMqaCmOy/Q4muj1mfALKuElaz0papl+zGLvs\nU6fXAqK+zHOJiYOxE1GyhnUanlN0ehgyom/aIEJCgpZwa4n606xa0FLqZ60WvwrLtbUhinpaehoa\naqEYjZDh512uJRkl3cuu+VCLhKDFZNbqrQxQisGgld33pddt8DAUc3BuBJTBw7QE2/ZHYNBQlGGj\nOyXABlsohkX7JM9FUbSblnGTuh2aUxKT2hfjFFFHgpZwa3lzs8THYTaZtPWH/Mhp8XWxxE76YtXe\nYPE2R8CW6Xs3sNGkzaiIEIrBEP58gAHay9KRYjLDiHHe9d4lWVFS/Msv6fb4Q0ZASpqWXzJqHEoA\nw07hpiRaYOwkrSck2OITYPwUlIys3oOurGH+zZwSYSdBS7i1JOMqikK6NVlbf8iPnBa/Fktsa0OU\nBC2Koo23e7OpTufb9FFFaalvEUGzHSD8vS1JErRAS67UiDH0OLxhNIZu6GHICO2C3MusnWigmM0w\nNoh5Li1DPsqYiSheJq8rBoPHCsUi8gX0Dl1TU8OKFSsoLS0lLS2NBQsWkJDQtSv5scceY8OGDSQl\nJfHggw+2Pf7666/z7bffoigKSUlJXHXVVb6VoO8PDq3VYvcvpyWg4aFoyWmJifWpS1xJsmqLD9Z4\nUdV30NDIHAZJsGjl18PBZPZr9kt/pSQmoQ4dAQe6qVw7ZKRPiz/6dGxFia4e0V4oOr1W6C4uXiui\n2Nzk39pRlmQtYPHj3ChJVtQkq7YEiIgaAQUtubm5TJkyhZycHHJzc8nNzeX888/vst2sWbM45ZRT\nePTRRzs9fvrppzNnzhwAPvzwQ9566y2uuOKKQJoUfQ6pirvnYIFfOS3l5eUYjUYsFj/uzKPlzdCf\noCJrGOz4kR4rnCanaOPtkSg+Ee3uPgwrAYdlxkdkU1LSUJsaobig8w9S08NThDDKKWmZbTVxVLdb\n62VubtaCmO6+djm1qd6Dh2m1mQIxeIR2UxPpi22KNgEND+Xl5TFz5kwAZs6cSV5ensftJk6c6LEH\nJi6ufVyzsbFxQFTc7KJTgTkrxRX+5bS0Fpbz5xwqBkNgs236ih9BixIbB6k99D6ZzDBkZACNCi1F\nr/c+jyfYJJ/FIyVzSOdETnMMZA0NX4P6CUWn06ZexyegJKeg2DJQBg3R6sO0VuCdfCRMma7NbgpC\nUK0YjYFVIRZ9LqCeFofDgbVl1ktycjIOh8Pnfbz22mt88cUXxMXFcfvttwfSnKik6PWoegO4nKRb\nrVRW19DY2IDZ7fZpKMSvdYc6Mpmgod7/5/cFb1dJPlTmEKis6Ho31TKlNRjTOkMqwRL4OjG+Msf4\ntdjjgDF0pHbX70fVWxGYYM+aUlLSUO3l3g0ji7DrNWhZsmQJlZWVXR5vHdZppSiKX3f5c+fOZe7c\nuaxevZqPP/6Yc845x+N2a9asYc2aNQAsX748sAt0DwwGQ8j23Z2m9AzU2mqGZWmzAhqanQy2Jvs0\nTutwOBg0aJDfbW+uSMd9yNiuTq/3b7gpFPQGzIP9X1vIiRvXIbkIhpFj0XtZITMcr4tWbpOB5oa+\nDVr0WcMwdPP7hvNcRBI1xYqupgqzJCsD0f26UBNn0PTDBnAHb5goot4/g8SQkoLej+KdwXxt9Bq0\n3Hbbbd3+LCkpCbvdjtVqxW63B/QHOv7441m2bFm3Qcvs2bOZPXt22/etiafBZrPZQrbv7qj1DVBV\nhSVWy2/ZfeAAScVFKD5MCywqKmL48OF+t12tq4OqzncaFouFqqoIuftIsKAE8HdRdUZoaGxfBdpq\nQ0EPXu4zHK+LVqrbDdXVoPZhXssgpdvzHc5zEWnkXLSL9nOhxiVqq18HSUS9fwZLRQWK2/enefPa\nyMryrj5WQP1s06dPZ926dQCsW7eOGTNm+PT8wsLCtq/z8vK8bnS/c0iBOV+r4qqqGvjwUKTPIPJ3\naKiFotO1r94bEwdDhgehUX1D0emCuxBkb2LiUHytAitEtLNlBPw+I0IvoJyWnJwcVqxYwdq1a9um\nPINWUv7JJ5/k1ltvBWDlypVs2bKF6upq5s2bxznnnMOJJ57Iq6++SmFhIYqiYLPZBt7MoVYtBebS\nU1qr4lb6lIxbV1dHQ0NDgEFLhM8gCsJ0ZMXSMsVx0NDoy0Hwdup2MEgCrhiAFEVBHTISdvzQt72a\nwicBBS2JiYksXry4y+MpKSltAQvAdddd5/H5N954YyCH7z9aelpsyUkoiuLzDKKACsu1tSHSg5Yg\nzaAZPiY6Z6n1ZZE5CVrEAKXExKJmDIai/HA3RXRDKuJGgpZaLUaDgRRLYsv6Q95XxQ2osFyrSO5p\nMZmDVrQrKgMW0IK2vugdio3zuqqoEP1S+qDQLDMggkKClgigGE3a1Em0vBZfq+IGtO5Qq0gOWiKx\nUmzYVicAABUvSURBVG0fUxSlb8bbpZdFDHCKomhT2vtqRWrhEwlaIkXLEFFGipWSCt9yWoLR06Lo\ndFqVyUgkpeQ1fTFElCRVcIVQ4uIhPUKrZA9wErREipYu+TRrstbT4kfQEvC6TZHa2yIZ/ZpQBy2x\n8dpidkIIyBjs+0rxIuQibEnbAczUPoOo1F6J6mzyunOyrKyMhIQEYmMDnKZqMkF9bWD7CDZFkfHl\nFkpcPKpeH7p1UqzSyyJEK0WnQx06En7a5umnoFO09yedDhRdl6+1taj02iiTomv5mdLytdL+tdJh\nP06nVpm8oQ4aGgjLmmMRToKWSNEatFitNDudVNor8bbfpLy8PDjVBiOxVktsfNDLdke1BEvoVqWV\nfBYhOlESLKjZUzsHForOq4R+k80WWEFMtxsaG6C+Tgti6uu0gMbp/SSN/kiClkhhbg9aAEpKS70O\nWloXSwxYJE57liTczkIVtMQn+LRshBADhRKmISJFp4PYOO2jA7W5uaUnpl4LZGqr2yt9DwAStESK\n1qq4Kdry9iVlZUzw8qnl5eUMGxaElUoj8aIlSbidhSqvRdbPESIqKEYjGJMgMQkA1emE3du0AGYA\nkH73SGHSEnEz2kr5V6B6mbsQcAn/tjZEYtAiPS0dKTGxYAz2LC9FhoaEiFKKwQCjJoQ+90+na5sw\nEk4StEQIRacDo5G0lA7rD3kxg8jtdlNeXh6c4aFIy2nRG2Q2iyfxQe5tkaEhIaKaFriMD11QodfD\nqPEoseGfFCFBSyQxmUmIjSXWbNbWH/KiKm5lZSVutzsoPS2K0dhW5C4iyFRnz4I9RCS9LEJEPcVo\nhNETgj9N22iEMdkofbloaw8kaIkkphgURSHdmqytP+TF8FBQSvh3FEl33LGSz+JRYjCDFkXyWYTo\nJxSjSQtcgvU+bjLDmIkoEVR2QoKWSNKpVot3w0NBWSyxo0gKWqSnxSPFZA7e3VRConaHJoToFxST\nuSVwCfD/OjYexk4M2+yp7kjQEknaquK2rD/kxXz8oPe0RFIyrvS0dC9YQ0TJUlBOiP5GMcdoybn+\nLs2SYIHRE4K2UG0wSdASSQ6piour956WoCyW2FGkJOOaY7TkMuFZUIIWBZKSg7AfIUSkUWJiteRc\nvY/vo8kpMHIcir4PVpX3gwQtkaStKm4yjppa6mt7n3dfVlaGoihYW6ZKB96GCOlpkanOPQtG0JKa\nFpF3UkKI4FBi41oCFy8DkNR0GDY6oquQR27LBiDFaASdnvSWac9lpSW9PqesrIyUlBT0wYqKIyWn\nRYrK9UgxGiEmgLWmrDYYPDx4DRJCRCQlLh5GjgddL9eIjCyUISO8WqIgnCRoiTQmM2mtBeaKi3vd\nvKKiInhDQyA9LdHE394Wqw2Gjoz4NychRHAo8QkwcqxWIK7rT2HwcJTMIX3eLn9I0BJpTGYyWgvM\nebHYVtDWHWoVCTktrWtuiJ75E7RIwCLEgKQkWGDE2M61uBQFho9CsWWEr2E+kqAl0pjNpFlb1h8q\n9S5oCWZPi6LXez/+GSqxcXJR9UZ8Itq6916SgEWIAU1JTIIRY1pWrNZrCbdRNoNQpmdEGpMZW1IS\nOp2OkpaZQT0pLy8P7vAQaL0trjAuviVDQ15RDAbU2FjvFkpLSUMZOjL0jRJCRDTFYkUdPgaMRpQo\nfK+VnpZIY45Br9eTmmShpLwc1e3udtOmpiYcDkdwh4cg/HktkoTrPW+GiCRgEUJ0oCRZozJgAQla\nIk/btOfWWi3dl/IPeo2WVuGeQRSl/0xh0VvQIgGLEKIfkaAl0hhNgEKaNVlb6bmHRRP7ZdBiMEZc\n2eiIlpDY/SKXErAIIfoZCVoijKLTgclERoqVEntlj+sPBX3doVbhDBqkl8Unik7veThNAhYhRD8U\nUCJuTU0NK1asoLS0lLS0NBYsWEBCQteLzmOPPcaGDRtISkriwQcf7PLz9957j5dffplnnnkGiyWY\nK9hGqZZaLWWVlbibm+luLk/Q1x1qO34Ye1okn8V3CRaorWn/XgIWIUQ/FVBPS25uLlOmTOHhhx9m\nypQp5Obmetxu1qxZLFy40OPPysrK2LRpU/AvvNHMZCY9xYrT5cLeQ62WkAUthnAGLdLT4rOOeS0S\nsAgh+rGAgpa8vDxmzpwJwMyZM8nLy/O43cSJEz32wAC8+OKLnHfeeVI7oiOzmfSWWi3FxUXdblZe\nXo7ZbO723PrNpOXV9D1Felr8EZegFeSTgEUI0c8FNDzkcDjaFupLTk7G4XD49Py8vDxSUlIYMWJE\nIM3of1p6WgBKS7pff6i1Gm6wAz5FUVCNYSjhExMTsSuLRjJFp0MdPBwlJS3cTRFCiJDq9cq0ZMkS\nKisruzw+Z86cTt8riuLTxbOxsZHVq1ezaNEir7Z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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 20.0 and 21.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.11709976196289062\n", "Number of source used: 1468\n", "RMS: 0.010006448273662748\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=20.0, mag_max=21.5)\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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eNZQfv/4S+/xC3NRmOL36eR1JJKj2W3CWLFlSXXDefPPNfW6ngiMiUn8YYzDn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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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k2OMWLVo0bMvNkiVL0Ov1AMybN4+GBtlsMBg5WlqoqKpm6ZAF9QBFGb9t56/Y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\nFMXrF/NHH300qHXGYrGwfft2oqOjOX3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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 19.0 and 20.5." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.1352062225341797\n", "Number of source used: 1132\n", "RMS: 0.03414906800433681\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=19.0, mag_max=20.5)\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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r0tJSysrK9tjWqFGjA+5XWFhIbm4uJSUlGGPIysqiT58+zJs3jyVLlpCQkADA\n4MGDad++/V77f/LJJzz22GO4rkuvXr0YMGDAwcQXEZEAmOgYnOHZvy3nMOY+THyC17FE/lRABeeT\nTz7hoYceoqSkZK/X5s6de8D9fT4fQ4YMISMjg+3btzNq1Cjatm0LQN++fenfv/9+93Vdl9mzZzN2\n7FiSk5PJzs6mQ4cONG3aNJAhiIjIQTD1k3GGj8G9ZxRuXg7OjXdiog7q78giIRHQP52zZ89m4MCB\nnHLKKcTExAT8YYmJiSQmJgJQu3Zt0tLSKC4urtS+q1evpnHjxhVnijp37szy5ctVcEREQsQ0b4m5\n9Drs7Puwcx/BXHSN15FE9iugJxlv2bKFU0899aDKzR8VFBSwZs0aMjMzAXjjjTe45ZZbmDFjBlu2\nbNnr/cXFxSQnJ1f8nJycXOlyJCIiweGceArm9IHYfy3E/dfrXscR2a+AzuD07NmTt95665BnTJWV\nlTF16lSGDh1KnTp16N27N4MGDQL8l7qeeOIJhg8fftDHz8/PJz8/H4CcnBxSUlIOKe++REVFVclx\nvaCxhKdIGUukjAM0ll/Zy/9Kyc8b2PHsIyQc2YaYNnvfMxkq+p2Ep3AYS0AF56uvvmLhwoW8/PLL\n1K9ff4/Xxo8fX6ljlJeXM3XqVLp160anTp0A9jhWr169mDx58l77JSUlUVRUVPFzUVERSUlJ+/yM\nrKwssrKyKn4uLCysVLZApKSkVMlxvaCxhKdIGUukjAM0lt+zl14P60eycXI2zuipmAaNg5iu8vQ7\nCU9VOZbU1NRKvS/gMziHcvbGWkteXh5paWn069evYvvGjRsr7s358MMPadas2V77tmjRgg0bNlBQ\nUEBSUhLvvfce119//UFnERGRg2dq18G5dgzupFtwcyfhjJqMia3jdSyRCgEVnF+XbDhYK1euZOnS\npaSnpzNy5EjAPyV82bJlrF27FmMMDRo04MorrwT8993MnDmT7OxsfD4fl112GZMmTcJ1XXr06LHP\nIiQiIqFhGqbiXHUr7v1/w509DeeabIwT0K2dIlXGWGttZd/85ptv7nN7dHQ0ycnJtGzZkujo6KCF\nC5b169cH/Zg6lRieNJbwEynjAI1lf9wlC7DPPoLpex7OgIuDcszK0u8kPFW7S1RLly5l1apV1KtX\nj+TkZIqKiigtLaVFixYUFBQAcOutt9KiRYvAE4uISLVkevbzL+fw2jzctMNwOnbzOpJIYAWnadOm\nnHDCCfRtXrpAAAAgAElEQVTp06di2xtvvMEPP/zAnXfeyYsvvsijjz7KpEmTgh5URETCkzEGLroa\n++MP2MfvxzZMxRymv+iKtwK6WLps2TJOP/30Pbb17t2bd999F2MM/fv3Z926dUENKCIi4c9EReNc\nMwriEnBzJ2E3bfQ6ktRwARWcevXq8fHHH++x7d///nfFGlI7d+4kSo/uFhGpkUxCfZwRY2HrZtwZ\nd2N37vQ6ktRgAbWRYcOGcd9995Genl5xD853333HTTfdBPifk/PHMzwiIlJzmPQMnGE34M68B/v0\nDLj0ev8lLJEQC6jgtGvXjunTp/Of//yH4uJijjvuONq3b098fHzF6+3atauSoCIiUj2YDl0xP3yH\nffVZaNock7X/hZRFqkrA15Pi4+Pp3r17VWQREZEIYc68APvDWuy8R7FNmmGOPs7rSFLDBFRwdu3a\nxaJFi/jiiy/YvHnzHq9VdqkGERGJfMZxcC67ETfnVtyH7/Ev59Cocs8vEQmGgG4ynjNnDvn5+bRu\n3ZpvvvmGTp06UVpaytFHH11V+UREpJoysbVxrh0Ljg93+kTstq1eR5IaJKCC88EHHzB69Gj69OmD\nz+ejT58+jBw5ks8//7yq8omISDVmUhrhXD0Kft6AO2sq1t3ldSSpIQIqODt27CA5ORmAmJgYfvnl\nF9LS0li7dm1VZBMRkQhgjmiDGXwVfPYR9sUnvY4jNURA9+CkpaXx9ddfk5mZSUZGBs899xy1a9cm\nKSmpqvKJiEgEcE4+HXfdWuyiF3GbHoZzYg+vI0mEC+gMztChQ3F2rxR76aWXsmbNGj7++OOK1b9F\nRET2x5x/ORxxDHbOdOyaVV7HkQgX0BmczMzMiu+bNGnC7bffHvRAIiISmUxUFM5Vt+HedTNu7l04\nY6di6id7HUsiVMDPwfn555/59ttvKSsr22N7165dgxZKREQik4lPwLl2LO7dt/pLzsi7MDG1vI4l\nESiggjN//nxeeOEFmjZtSkxMTMV2Y4wKjoiIVIpJOwzn8htxc+/CPjEd/nKTlnOQoAuo4Lz66qvk\n5OTQtGnTqsojIiI1gDn2RMyAi7EvPQVND8ecPtDrSBJhArrJOC4ujgYNGlRVFhERqUFMn3MxHbth\nX3wCu2K513EkwgQ8i2rmzJl8/fXXFBYW7vElIiISCGMM5tLroVlz3EemYDd873UkiSABXaIqLy9n\nxYoVLFu2bK/X5s6dG7RQIiJSM5hatXBGjMGdeBPu9Ik4o6dg6sZ7HUsiQEAFZ9asWQwePJguXbrs\ncZOxiIjIwTJJDXCGj8adMgZ35j04N/wN4/N5HUuquYAuUbmuS48ePYiNjcVxnD2+REREDpbJPAoz\nZDj871Psc496HUciQEDN5Mwzz+Sll17CWltVeUREpIZyumRhss7CLlmA+85ir+NINRfQJaqFCxdS\nUlLC/PnziYuL2+O1hx56KKjBRESk5jGDhmLXf4d9Og/bpCkms7XXkaSaCqjgXHfddVWVQ0REBOPz\n4Vw5EveuW3Bn3I0z5j5Msh5PIoELqOC0bq0mLSIiVcvUjdu9nMMtuLkTcW6bjKkV63UsqWZ0d7CI\niIQd06QpzhUjYd1a7GP3695PCZgKjoiIhCVzzPGYgUOxHy/DvjbP6zhSzQS8mriIiEiomN4D/Gdx\nXn4am5qOaX+S15GkmtAZHBERCVvGGMwlI6B5K9xHp2HXrfU6klQTAZ3B2bJlC6+88grffvstZWVl\ne7w2fvz4oAYTEREBMNExOMOzcSfd7F/OYcx9mPgEr2NJmAuo4Nx///2Ul5dz0kknaakGEREJGVM/\nGWf4GNx7RuHm5eDcOB4TFe11LAljARWcVatWMWvWLKKj9Q+ViIiElmneEnPpddjZ92GffQRz8XCv\nI0kYC+genPT0dIqKiqoqi4iIyJ9yTjwFc/pA7Ntv4P7rda/jSBgL6AxOmzZtuOuuuzjllFOoX7/+\nHq/17NkzqMFERET2xZx9MfaHb7HPPsKOI46GJod5HUnCUEAF58svvyQ5OZnPPvtsr9dUcEREJBSM\n48O54hbcu0dScs8YzOgpmAaNvY4lYSaggjNu3LiqyiEiIlJppnYdnGvHYO8aiTvjLpxR92g5B9nD\nQT8Hx1qL67oVXyIiIqFkGqZS75Y74YfvtJyD7CWgMzjFxcXMnj2b//3vf2zdunWP1+bOnRvUYCIi\nIgdS69hOmIGXYp9/DF5/DtP3PK8jSZgI6AzOww8/TFRUFHfccQexsbFMnjyZDh06cMUVV1RVPhER\nkT9leg/AdDrZv5zDp8u9jiNhIuDn4MyYMYPY2FiMMRx++OFcc801jB07lqysrAPuX1hYSG5uLiUl\nJRhjyMrKok+fPhWvL1iwgCeffJJZs2aRkLD3UypHjBhBbGwsjuPg8/nIyckJJL6IiEQgYwxcci12\nwzrcWVNwRk/FNGnqdSzxWEAF59diAVC3bl02bdpE7dq1KS4urtT+Pp+PIUOGkJGRwfbt2xk1ahRt\n27aladOmFBYWsmLFClJSUv70GOPGjdtn+RERkZrLxNTCGT4ad9JNuLmTcEbfi6kT53Us8VBAl6gy\nMzP5z3/+A0C7du2YNm0aU6ZMoUWLFpXaPzExkYyMDABq165NWlpaRTmaM2cOF110kb+Ji4iIBMgk\nN8C5ehQU/og76z6su8vrSOKhgM7gXHfddRV3qQ8dOpQFCxawfft2+vbtG/AHFxQUsGbNGjIzM1m+\nfDlJSUkcfvjhB9xvwoQJOI7DqaeeWqnLYiIiUnOYVkdjLrgC+3Qe9qWnMedc4nUk8UhABadu3boV\n38fExDBw4MCD+tCysjKmTp3K0KFD8fl8zJ8/n7Fjxx5wvwkTJpCUlERpaSkTJ04kNTWV1q1b7/W+\n/Px88vPzAcjJyTngZa+DERUVVSXH9YLGEp4iZSyRMg7QWMLRvsZhBw5hc8F6ti98nrij2xHbpZdH\n6QITKb8TCI+xGBvAgwN27tzJ888/z7Jly9i8eTNz5szh008/ZcOGDZx++umVOkZ5eTmTJ0+mXbt2\n9OvXj++++44777yTWrVqAVBUVERiYiJ33333XstB/N68efOIjY2lf//+B/zM9evXV26AAUhJSaGw\nsDDox/WCxhKeImUskTIO0FjC0f7GYct34k4ZA9+v8T8EsFlzD9IFJlJ+J1C1Y0lNTa3U+wK6B2fO\nnDl8//33XH/99RX3yjRr1ozFixdXan9rLXl5eaSlpdGvXz/Av4DnrFmzyM3NJTc3l+TkZCZPnrxX\nuSkrK2P79u0V369YsYL09PRA4ouISA1hoqJxrsmGOnG4uZOwmzd5HUlCLKBLVB9++CEPPPBAxTRx\ngKSkpErPolq5ciVLly4lPT2dkSNHAjB48GDat2+/z/cXFxczc+ZMsrOzKS0tZcqUKQDs2rWLrl27\ncuyxxwYSX0REahBTL9E/s+qeUbgzJ+P8dTwmKqD/7Ek1FtBvOioqaq9lGTZt2kR8fHyl9j/yyCOZ\nN2/en74nNze34vukpCSys7MBaNSoEffee28gcUVEpIYzzVtihozAPvZ37POPYS7Qg2lrioAuUZ14\n4olMnz6dgoICADZu3Mjs2bPp3LlzlYQTERE5VE7nnpis/tglC3CX5XsdR0IkoIJz4YUX0rBhQ26+\n+Wa2bdvG9ddfT2JiIueee25V5RMRETlkZtAwOKod9qkZ2G9Weh1HQiDgS1RDhw5l6NChFZem9GA+\nEREJd8bnw7lyJO6km3EfuhtnzH2Y+klex5IqVKkzOIWFhXt97dixg6KiooqfRUREwpmJS8AZMQa2\nb8N96G7szp1eR5IqVKkzOCNGjDjge+bOnXvIYURERKqSaXo4zrC/4ublYP+RB5dcqysREapSBeew\nww5jx44dnHzyyXTr1o2kJJ3WExGR6skc3xnT9zzsa/MgPQPTI/DlhiT8Varg3HPPPXz33Xe8/fbb\n3H777TRt2pTu3bvTqVMnYmJiqjqjiIhIUJn+F2LXrcU++wg2NR1zxDFeR5Igq/QsqvT0dIYMGUJu\nbi59+/bl448/5sorr+Sbb76pynwiIiJBZxwH5y83QcNU3LzJ2KICryNJkAU0TRzgxx9/5IsvvuCr\nr76iefPmxMXFVUUuERGRKmVq1/HfdLxrl385h19+8TqSBFGlLlFt2bKFd999l7fffpuysjK6devG\n+PHjPV8pVERE5FCYxmk4V9yM++AE7JwH4IpbdNNxhKhUwbnqqqto2LAh3bp1o1WrVoD/TM6PP/5Y\n8Z42bdpUTUIREZEqZI7pgDl7CPbFJ6BZBuaMgV5HkiCoVMGpX78+O3bsYMmSJSxZsmSv140xTJ8+\nPejhREREQsGcPhC+X4Od/wS26eGYY473OpIcokoVnN8vgCkiIhJpjDFw6XXYDetwH5mCM3oKpnGa\n17HkEAR8k7GIiEgkMrVicUaMBp8Pd8Zd2O3bvI4kh0AFR0REZDeT0gjn6tvgpx9wZ9+HdV2vI8lB\nUsERERH5HXPEMZjzLodPP8QueMbrOHKQVHBERET+wPTsi+nSC/vqXOy/3/M6jhwEFRwREZE/MMZg\nLhoOzVvhPvp37Lq1XkeSAKngiIiI7IOJjsYZng2xdfw3HW/d7HUkCYAKjoiIyH6Y+sk414yCjYW4\nM+/B7trldSSpJBUcERGRP2FaHIm5eDj871PsC497HUcqqVIP+hMREanJnC5ZuN99g/3ny7jNMnBO\n6uF1JDkAncERERGpBHPuZXDEMdgnpmPXfOV1HDkAFRwREZFKMFFROFfdBvUS/Tcdl270OpL8CRUc\nERGRSjLxCTjDR8O2zbh5OdjynV5Hkv1QwREREQmASc/ADL0BVv8P+8zDXseR/dBNxiIiIgFyOnbD\n/f4b7MIX/Dcdn3KG15HkD3QGR0RE5CCYARdDm+Oxzz6MXfW513HkD1RwREREDoJxfDhX3Awpjf33\n4xT/7HUk+R0VHBERkYNk6sThjBgNO3fg5t6F3fGL15FkNxUcERGRQ2CaNMO5/Gb4/hv/M3Ks9TqS\noIIjIiJyyEy7EzD9L8R+8Db2ny95HUdQwREREQkK0/c8aN8Z+/wc7Of/8TpOjaeCIyIiEgTGGJxh\nN0BqM9yH78UWbPA6Uo2mgiMiIhIkJrY2zogxYAxu7iRs2TavI9VYKjgiIiJBZBo0xrlyJGxYh/vo\n37Gu63WkGkkFR0REJMhM62Mx5w2D/7yPfW2e13FqJBUcERGRKmB69cec1BP7yj+wn7zvdZwaRwVH\nRESkChhjMEOGw+EtcWdNw/7wndeRahQVHBERkSpiomNwrsmGWrVwZ0zCbt3idaQaI6QFp7CwkPHj\nx3PjjTdy00038frrr+/x+oIFCzjvvPPYtGnTPvf/5JNPuOGGG7juuut46SU9SElERMKfSUrxl5yi\nn/3Tx91dXkeqEUJacHw+H0OGDGHatGlMmjSJRYsWsW7dOsBfflasWEFKSso+93Vdl9mzZzN69Gim\nTZvGsmXLKvYVEREJZybzKMyFV8EX/8G++ITXcWqEkBacxMREMjIyAKhduzZpaWkUFxcDMGfOHC66\n6CKMMfvcd/Xq1TRu3JhGjRoRFRVF586dWb58eciyi4iIHAqn+2mYU87ALpqP+8HbXseJeJ7dg1NQ\nUMCaNWvIzMxk+fLlJCUlcfjhh+/3/cXFxSQnJ1f8nJycXFGOREREqgNz/uXQsjV2zoPYb7/2Ok5E\ni/LiQ8vKypg6dSpDhw7F5/Mxf/58xo4dG7Tj5+fnk5+fD0BOTs5+L3sdiqioqCo5rhc0lvAUKWOJ\nlHGAxhKOquM43NH3UDTyL5CXQ9K9s3HqJwHVcyz7Ew5jMTbE67qXl5czefJk2rVrR79+/fjuu++4\n8847qVWrFgBFRUUkJiZy9913U79+/Yr9Vq1axXPPPceYMWMAmD9/PgBnn332AT9z/fr1QR9HSkoK\nhYWFQT+uFzSW8BQpY4mUcYDGEo6q6zjst6txJ4+C5i1xbpyA2V0IquNY9qUqx5Kamlqp94X0EpW1\nlry8PNLS0ujXrx8A6enpzJo1i9zcXHJzc0lOTmby5Ml7lBuAFi1asGHDBgoKCigvL+e9996jQ4cO\noYwvIiISFOawTMyl18Gqz7FzZ3kdJyKF9BLVypUrWbp0Kenp6YwcORKAwYMH0759+32+v7i4mJkz\nZ5KdnY3P5+Oyyy5j0qRJuK5Ljx49aNasWSjji4iIBI3T6WTc777BLp6Pm54BZ1/odaSIEvJLVF7Q\nJao/p7GEp0gZS6SMAzSWcFTdx2HdXbj33wkrPyNxYi6bUpp4HSkoatwlKhEREfmNcXz+lceTUiid\nnI0tKvA6UsRQwREREfGQqRuHc+1Y7I4duA9OwG7b6nWkiKCCIyIi4jGTmk69WyfBj+twZ96DLS/3\nOlK1p4IjIiISBmq164i56Br/cg7PPEwNuEW2SnnyoD8RERHZm9OtN+7PP2IXPg8Nm2BOO/Cz3mTf\nVHBERETCiBlwMRRswD7/GDalEeb4zl5HqpZ0iUpERCSMGMfBXPZXyDgCd/Z92DWrvI5ULangiIiI\nhBkTUwtnxBiol+ifWVX4k9eRqh0VHBERkTBkEurjXH8H7CrHfeBO7LYtXkeqVlRwREREwpRp0gzn\n6lFQsB43b7KmjwdABUdERCSMmaPaYYaMgP99iv1HnqaPV5JmUYmIiIQ5p0sWbsGP2Nfn+aePnz7Q\n60hhTwVHRESkGjBnXQg/b8C+MAfboDHm+C5eRwprukQlIiJSDRjHwQy7AVociTt7GvbrL72OFNZU\ncERERKoJEx3jnz5ePwk3dxL25x+9jhS2VHBERESqERNfb/f08V27Vx/X9PF9UcERERGpZkzjpjjD\ns6FgA+5DOdjynV5HCjsqOCIiItWQOeIYzCXXwpcrsE89pOnjf6BZVCIiItWU07kn7s8bsK/O9U8f\n73Ou15HChgqOiIhINWb6XwgFP2LnP4nboAlOx65eRwoLukQlIiJSjRljMEOvg8zW2Ec1ffxXKjgi\nIiLVnImOwRk+GpJScKdP1PRxVHBEREQigolPwLnuDrDWv/r41po9fVwFR0REJEKYxmn+6eM//4j7\n0N01evq4Co6IiEgEMa3a+O/JWfkZ9skZNXb6uGZRiYiIRBjnxB7+1ccXPOOfPt73PK8jhZwKjoiI\nSAQyZ17gX338padwGzTGOaG715FCSpeoREREIpAxBnPJddCyNfax+7Grv/A6Ukip4IiIiEQoEx29\ne/p4A//q4wXrvY4UMio4IiIiEczEJeDccAcA7gMTsFs3e5woNFRwREREIpxpmIozfAwU/YQ7o2ZM\nH1fBERERqQFMy9aYoTfAqv9in5ge8dPHNYtKRESkhnA6nexfffzlf/inj/e7wOtIVUYFR0REpAYx\nfc+HAn/JcRs0wel0steRqoQKjoiISA1ijIFLrsUW/Yx9/H5sUgNMy9Zexwo63YMjIiJSw5ioaP+a\nVcmNcGdMwv4UedPHVXBERERqIFM3Huf6OwDjX318yyavIwWVCo6IiEgNZRo2wRkxGop/xp1xF3Zn\n5EwfV8ERERGpwUxma8ywG+CrL7BPPBgx08d1k7GIiEgN55zQHffnH7EvPQUNmmD6D/Y60iELacEp\nLCwkNzeXkpISjDFkZWXRp08fnn32WT766COMMdSrV4/hw4eTlJS01/4jRowgNjYWx3Hw+Xzk5OSE\nMr6IiEjEMn3O9U8fX/AMbsPGOCf28DrSIQlpwfH5fAwZMoSMjAy2b9/OqFGjaNu2Lf379+eCC/wP\nG3r99dd5/vnnufLKK/d5jHHjxpGQkBDK2CIiIhHPGANDhmOLCrCPP+ifPt6qjdexDlpI78FJTEwk\nIyMDgNq1a5OWlkZxcTF16tSpeM8vv/zi/x9ZREREQspEReNckw0NGvvXrPrxB68jHTTPbjIuKChg\nzZo1ZGZmAvDMM89wzTXX8O6773L++efvd78JEyZw2223kZ+fH6qoIiIiNYapG+efPu44uA/eid1c\nPaePG+vB7dJlZWWMGzeOc845h06dOu3x2vz589m5cyfnnXfeXvsVFxeTlJREaWkpEydOZNiwYbRu\nvffTF/Pz8ysKUE5ODjt27Aj6GKKioigvLw/6cb2gsYSnSBlLpIwDNJZwFCnjgPAby44vP2PjHdcR\n3eJIEsffj4mpVel9q3IsMTExlXpfyAtOeXk5kydPpl27dvTr12+v1wsLC7n77ruZOnXqnx5n3rx5\nxMbG0r9//wN+5vr1wX9CY0pKCoWFhUE/rhc0lvAUKWOJlHGAxhKOImUcEJ5jcZe/i334HswJJ2Mu\nv6nSt5BU5VhSU1Mr9b6QXqKy1pKXl0daWtoe5WbDhg0V3y9fvnyf4cvKyti+fXvF9ytWrCA9Pb3q\nQ4uIiNRQTseumLOHYD98G/vKM17HCUhIZ1GtXLmSpUuXkp6ezsiRIwEYPHgwb775Jhs2bMAYQ0pK\nSsUMquLiYmbOnEl2djalpaVMmTIFgF27dtG1a1eOPfbYUMYXERGpccwZg/zTx199FrdBY5zOPb2O\nVCkhLThHHnkk8+bN22t7+/bt9/n+pKQksrOzAWjUqBH33ntvleYTERGRPRlj4OLh2OKfsU9MxyY3\nwBxxjNexDkhLNYiIiMifMlFROFffBg2b7J4+vs7rSAekgiMiIiIHZOrE4Vx3O/h8/tXHN5d6HelP\nqeCIiIhIpZgGjXFGjIGSYtzcSdidwX8MS7Co4IiIiEilmRZH4vzlRvj6S+xj92Nd1+tI+6SCIyIi\nIgExx3fBDLwUu/wd7Cv/8DrOPoV0FpWIiIhEBnPaOf7p46/Nw23QBKdLL68j7UEFR0RERAJmjIEL\nr8YW/oR9cjo2KQVzVDuvY1XQJSoRERE5KP7p46OgYSpuXg52Q/hMH1fBERERkYNm6tT1rz4eFY37\nwPiwmT6ugiMiIiKHxKQ0wrl2LGza6J8+/ssvXkdSwREREZFDZ5q3wrnsJvhmJaXTJ2Kt9TSPbjIW\nERGRoDDHd8acdxmxzZpTboynWVRwREREJGicrLOITUlhS2Ghtzk8/XQRERGRKqCCIyIiIhFHBUdE\nREQijgqOiIiIRBwVHBEREYk4KjgiIiIScVRwREREJOKo4IiIiEjEUcERERGRiBM2TzL+5JNPeOyx\nx3Bdl169ejFgwIA9Xv/hhx+YMWMGa9as4YILLqB///4eJRUREZFwFxYFx3VdZs+ezdixY0lOTiY7\nO5sOHTrQtGnTivfExcUxbNgwli9f7mFSERERqQ7C4hLV6tWrady4MY0aNSIqKorOnTvvVWTq1atH\nZmYmPp/Po5QiIiJSXYTFGZzi4mKSk5Mrfk5OTuarr7466OPl5+eTn58PQFZWFq1btz7kjCIiIlJ9\nhEXBCbasrCyysrKq/HNSU1Or/DNCRWMJT5EylkgZB2gs4ShSxgEaSzCFRcFJSkqiqKio4ueioiKS\nkpKCdvz169cH7Vi/SklJodDjpeCDRWMJT5EylkgZB2gs4ShSxgEaS2VVtjiFxT04LVq0YMOGDRQU\nFFBeXs57771Hhw4dvI4lIiIi1VRYnMHx+XxcdtllTJo0Cdd16dGjB82aNWPx4sUA9O7dm5KSEkaN\nGsX27dsxxvD6669z3333UadOHY/Ti4iISLgJi4ID0L59e9q3b7/Htt69e1d8X79+ffLy8kIdS0RE\nRKqhsLhEJSIiIhJMKjgiIiIScVRwREREJOKo4IiIiEjEUcERERGRiKOCIyIiIhFHBUdEREQijgqO\niIiIRBwVHBGpMnbHL+z8eiXWWq+jiEgNEzZPMhaRyGIL1uM+lEPxurVwxDE4Ay/FNG/ldSwRqSF0\nBkdEgs5+uhx34s1QXEjdgZfA+u9w77qFXXk52J/Wex1PRGoAncERkaCx7i7sgmexr86F9Aycq0cR\nd1Qbtp/SB7v4Jezil3D/8z6m+2mYfhdg6iV6HVlEIpQKjogEhd26GXfWVPjvvzFdemEuvBoTUwsA\nE1sH0/9C7ClnYBfMxb6zCPvem5jeAzCnnY2JreNxehGJNCo4InLI7Ldf4z50N5QWY4YMx3Q7DWPM\nXu8zCYmYi67GZvXHzn8S++pc7NtvYPqejzn5NExUtAfpRSQSqeCIyCFxly3BPv0QxCXg3JpTqRuJ\nTaNUzNW3Ydeswn1hDvbZh7FLXsEMuBjToSvG0e2BInJoVHBE5KDYnTuxzz6CXfoGHNkW58qRmPh6\nAR3DNG+Fc/NE+O+/cV94HPvIFOyi+f4ZV62PraLkIlITqOCISMBs8c+4eZNhzSrM6QP9Z158voM6\nljEGjjke5+hjsR8sxb70FO60O6D1cTgDL8GktwhyehGpCVRwRCQg9n+f4j58L5TvxLlmFKZ956Ac\n1zg+zEk9sB26YN96Hfv6c7gTbsSccDJmwEWYBo2D8jkiUjOo4IhIpVhrsYtexL74JDROw7kmG9Ok\nadA/x0THYHoPwHbNwr7xInbJK9iPl2FOOQPT97yAL4OJSM2kgiMiB2S3b8N9/H749/9hju+CGXo9\nJrZ2lX6mqROHOecSbI++2AXPYN98Dbss339JLKs/plZslX6+iFRvKjgi8qfs+u/8U8ALNmDOvQxz\n6ln7nAJeVUxiMuaSa7GnnoX74hPYl57CvvUa5szBmK6nHvS9PyIS2VRwRGS/7Efv4j7+AMTUwrlp\nIuaINp5lMU2a4RsxBrv6C9znH8c+NQP7z5dxzhkCx50U0tIlIuFPBUdE9mJ37cK+OAe7+CVocSTO\nVbdhEpO9jgWAyWyNc9tk+PRD3BefwH0oB5q3whk0FNPKuwImIuFFBUdE9mA3bcSdeS+s+i+mRx/M\nef/P3p3HR1UdbBz/nUkIa/YEBQIqmwiEBAgJqBDRiBa3aF2odUFc6krFVl+xRURqRa1SLYJaFJf2\nVUBq3MU3ogFRISwBFAUFRBGR7BC2LPe8f4ymItuFZHInk+f7+fB5k5mbmee8U8Ljvfecc3XQrTBs\njNndcAYAACAASURBVIHUDHzJadiP3sO+9r84D90FfQbgu+AKTIdjvI4oIh5TwRGRWnbdFzhPTIKd\nFZhRY/ANGup1pIMyYWGYwcOw6ZnYea9j356DM2E0ZtCpmPMuxcQleh1RRDyigiMi/ingH7yNnTkd\n4hLw3fkQpuNxXsdyzTRvjvnVhdjBw7Bvzca+/yZ28XzMaWdjfnURpnUbryOKSANTwRFp4uyePf4b\ndj95H5LT8F19W6MtBKZNFObiq7GnnYN99d/Yd3OwC97FDL8IM/Ss2t3NRST0qeCINGF26/f+m3S/\n+xpz7qX+hfRCYKNLE98WM2oMdlg2zpznsS8/i33vDf9lq0FDMT5NLRcJdSo4Ik2UXZmP8/QjgMF3\ny92Y5P5eR6p3Juk4wn4/HvvFSv+u5c8+hn03B98FV0KfNE0tFwlhKjgiTYx1HOwbL2Fffwk6Huff\nciHE93kyPfrgu+tvsOwjnP+8gDNlInTrie/XIzFdengdT0QCQAVHpAmxO7bjTH8EPl3qn2l02Q1N\n5r4UYwz0PwlfSgb2w3exr7+EM+kO6DcI3/mXY46u/321RMQ7KjgiTYT9Zp3/fpvSYsxvb8Bkntkk\nL9GY8HDMKcOxA4di/+9V7NxXcAoWYU4ehjlnBCYmzuuIIlIPVHBEmgDno/ew/5oGrSPx3XE/pvPx\nXkfynGnREnPOCGzmmdg3ZmLnv4P95H1M1nmYM87HtGrtdUQRqQMVHJEQZquqsLOmYz94G45Pxnfd\n7ZioGK9jBRUTFYO59HfYrHP9G3m+NQs7/23MWZdgMn+FaRZcqziLiDtBU3AKCgqYMWMGjuNw2mmn\nkZ2dvdfz1lpmzJjB8uXLad68OTfeeCOdO3f2KK1I8LMlRf5ViTesxZxxAeb8y7Xz9kGYtu0w192O\nPeN8/4yrmdOxua9hsi/DpA8JienzIk1JUPyNdRyHp59+mrvuuovJkyezcOFCNm3atNcxy5cvZ8uW\nLTz22GNcd911TJ8+3aO0IsHPfrES5y9jYPO3+K6/078RpcqNK+aYrvjG3Ivv1gnQqjX26Udw/jIG\n+9lyrLVexxMRl4LiDM5XX33F0UcfzVFHHQXAiSeeSH5+PklJ/53VsGTJEoYMGYIxhu7du7Njxw5K\nS0uJjY31KrZI0LHWYt99BTvneTiqPb7b78K00+ygw2WMgV598Z2Qgl08H5vzL5y/j2f7mpVwwZVe\nxxMRF4Ki4JSUlBAfH1/7fXx8PF9++eU+xyQkJOx1TElJyX4LTm5uLrm5uQBMmjSJadOm1Xtmn8+H\n4zj1/rpe0FiC0+GOxVZVsmfxAqq//ZrwjsfSPPF4TM7rAUzoTih8JjYplT2b51M9ZSqtN5WHxH05\nofC5QOiMAzQWtyZOnOjquKAoOPUtKyuLrKys2u9vuOGGen+PhIQEioqK6v11vaCxBKfDGYv9/luc\nqfdDq2rMXX/CDMsOmingofKZ2DWZOH/7E76T0zD9TvQ6Tp2FyucSKuMAjaW+BUXBiYuLo7i4uPb7\n4uJi4uLi9jnm5//P2t8xIk2RXboQZ8ZjEBGB77Z7MT36eB0pNHXtiWkTiS1YFBIFRyTUBcVNxl26\ndOH7779n69atVFdX89FHH5GWlrbXMWlpacyfPx9rLWvXrqVVq1a6/0aaNFtTg/PyDJwnHoAOnfD9\nebLKTQCZsDCa9z8Ru2oJtqbG6zgicghBcQYnLCyMUaNGcd999+E4DkOHDqVjx468++67AAwbNoy+\nffuybNkyRo8eTUREBDfeeKPHqUW8Y7eV4Tz1EKxZhTllOObiq0PivpBg13zAYHbnzYV1n0P33l7H\nEZGDCIqCA9CvXz/69eu312PDhg2r/doYwzXXXNPQsUSCjl33hf+szY7tmKtuxXfiqV5HajIi+mVA\neDh2xWKMCo5IUAuKS1QicmjWWpwP3sJ56C4ID8d354MqNw3M17I19OiDLVikNXFEgpwKjkgjYCv3\nYGc8iv33E9Az1X+/TSet5O0Fk5IOW7+HLZsOfbCIeEYFRyTI2cItOJPu8G8Eec5v8N38Z0zrNl7H\narJMn3QAbMEij5OIyMGo4IgEMbtqKc5fboPirfhuGYfv3N9oTySPmbgEOKarCo5IkNNvSpEgZB2H\niplP4/zjXohLxPenRzDJaYf+QWkQJjUdNqzFlpd6HUVEDkAFRyTI2G2lOFP+wo6XnsZknILvzgcx\nbdt5HUt+xqRkgLXYlfleRxGRAwiaaeIiTZ211r+x40tPwe5dRF77B3YMGBI0Wy7IzyQdC/FtsSsW\nw+BhhzxcRBqeCo5IELClxTj/ngYrFkPn4/GNHE2r5L7sDJF9aUKNMQaTmoGdPxe7ZzemeQuvI4nI\nL6jgiHjIWotdmIud9QxUV2EuGoXJOgfjC/M6mhyCSUnHvvc6fF4AqQO9jiMiv6CCI+IRW7wV5/kp\nsLoAuvfCd8UtmKPaex1L3OrWC1q29m++qYIjEnRUcEQamHUcbN472DnPARZz6fWYzDM1/buRMeHh\nmOT+2JVLsE6NzrqJBBkVHJEGZLduxnluCqz91L8i8eU3YRKO8jqWHKnUDFg8H9avga49vU4jIj+j\ngiPSAKxTg33vDWzOCxDWDHPlLZiTsjRDqpEzvfphw8L9l6lUcESCSp3Oiefk5NRXDpGQZb//FueB\nO7GznoYeKfgmTMF38ukqNyHAtGoNx/f2TxcXkaBSp4Lz+eef11cOkZBjq6tx3pqNc+/v4YfNmGv+\n4N9HKjbe62hSj0xqBmz5DqvNN0WCSp0uUY0dO7a+coiEFPvtBpxnH4Nv1kH/E/Fd+jtMVKzXsSQA\nTJ907P8+iV2xGHN0ktdxRORHrguO4zisXbuW0tJSYmNj6d69Oz7N+hDZi62uwr45G/v2bGjVBt/1\n/4Ppf5LXsSSATHwidOrs33zzjAu8jiMiP3JVcDZu3MhDDz1EVVUVcXFxlJSU0KxZM/74xz9y7LHH\nBjiiSONgv/7Sf9bmu42YgadgLrkG0ybK61jSAExKOvaNmdhtZZioGK/jiAguC860adM444wzOPvs\nszHGYK3lzTffZNq0aTzwwAOBzigS1GzlHuzrL2HnvgLRMfhuHodJGeB1LGlAJjXD/7+BVUswJ2V5\nHUdEcHmT8ffff89ZZ51VO+vDGMPw4cPZsmVLQMOJBDv71Wqcibdi35mDOTkL34QpKjdNUcfOEJfg\nv0wlIkHB1Rmcvn37smTJEtLT02sfW7JkCX379g1YMJFgZvfsxr7yAnbeGxCXiG/MBExP/X1oqowx\n/stUC3OxlXswEc29jiTS5LkqOI7j8Pe//53OnTsTHx9PcXEx69evJy0tjSlTptQed/PNNwcsqEiw\nsF+sxHnuH1D0A2boWZgLrsC0aOl1LPGYSc3Avv8WfL4CUtIP/QMiElCuCk7Hjh3p2LFj7fdJSUmk\npKQELJRIMLK7dmLnPIvNewfatsN3+18x3Xt7HUuCRffe0LKVf7q4Co6I51wVnIsuuijQOUSCmv10\nKc4Lj0NpCWZYNubc32Ka6zKE/JcJb4bp3R+7YjHWcbR5qojHXK+DU11dzebNm9m2bdtej/furf+C\nldBld1RgZz2N/eg9aNcR3/9MwnTp4XUsCVYp6ZC/ADasBf3vRMRTrgrOF198wSOPPEJVVRW7du2i\nZcuW7N69m/j4+L3uwREJJbbgE5x/TYPt5ZjhF2POvgTTrJnXsSSImeT+2LAw7IpFKsIiHnNVcJ57\n7jnOPfdczj77bK666ipmzJjByy+/TERERKDziTQ4u70c++JT2PwFkHQcvtF3Yzp18TqWNAKmVRvo\n3htbsBguuNLrOCJNmquLxJs3b2b48OF7PZadnc2bb74ZkFAiXrDW4uQvwLn7JuyyjzHn/Rbfnx5W\nuZHDYlLS4ftvsT9s9jqKSJPmquC0atWKXbt2ARATE8OmTZuoqKhg9+7dAQ0n0lBsWQnO1PuxTz0E\nCUfhGzcZ39mXYMLrtB+tNEE/zaCyK7Ton4iXXP32zsjIYPny5Zx88skMHTqUCRMmEBYWxsCBAwOd\nTySgrLXYj9/HzpwOVZWYC6/CZJ2LCQvzOpo0UibhKEg6FrtiMQw73+s4Ik2Wq4IzcuTI2q/PPfdc\nunfvzq5du7QWjjRqtqQQ54Wp8OlS6HoCvitHY47u4HUsCQEmNcO/q/z2bZhIbbgq4oUjOv/eo4dm\nB0jjZa3FLpiLnT0DHAcz4jrM0OFat0TqTe3u4qvyMSee5nUckSZJNxhIk2ILt+A8PwW+WAk9+uC7\n4mZM4tFex5JQc0xXiIn3X6ZSwRHxhOcFp6KigsmTJ1NYWEhiYiJjxoyhTZs2+xw3depUli1bRnR0\nNA8//LAHSaUxs46Dff9N7H+eB58Pc/lNmMHDMMZ4HU1CkDEGk5ruv7+rqhLTTEtqiDQ0z8/J5+Tk\nkJyczGOPPUZycjI5OTn7Pe6UU07hrrvuauB0Egrslk04D43FvvRP6N4b34Qp+IacoXIjAWVS0mHP\nbv/ZQhFpcJ4XnPz8fDIzMwHIzMwkPz9/v8f17Nlzv2d2RA7E1tTgzP0Pzr23wuZvMaPG+Bfti0v0\nOpo0Bcf3geYtsQWaLi7ihToVnPvvv7/OAcrLy4mNjQX8a+yUl5fX+TVF7HcbcSbdgX35WejdD9+9\nj+MbNFRnbaTBmGbNoHdf7Ip8rON4HUekyanTPThuZ1NNnDiRsrKyfR4fMWLEXt8bY+rlH6Dc3Fxy\nc3MBmDRpEgkJCXV+zV8KDw8PyOt6IZTGEga0mPc6O2bPwLRqQ9QfJ9L8xFMbZbEJlc8lVMYBhz+W\nXSdnsW3pR8SUFdGse88AJjt8ofK5hMo4QGOp9wx1+eHzz3e3iNW4ceMO+Fx0dDSlpaXExsZSWlpK\nVFTd14zIysoiKyur9vuioqI6v+YvJSQkBOR1vRAqY7HfrMP3wlSqv/4Skz4EM+JaKiKjqSgu9jra\nEQmVzyVUxgGHPxZ73PHg81GaNxdfXNsAJjt8ofK5hMo4QGNxq3379q6Oc3WJ6sEHH+Tjjz+msrKy\nTqH2Jy0tjby8PADy8vIYMGBAvb+HhD779Zc4D9yJU16K76a78F37R0xktNexpIkzrSOhWy//dHER\naVCuCk7Pnj157bXXuPbaa5kyZQoFBQU49XRNOTs7m5UrVzJ69GhWrVpFdnY2ACUlJXvd4/P3v/+d\nP//5z2zevJnrr7+eefPm1cv7S+NnC7fgPHYvREYT97dnMKnaQkSCh0lNh+82Ygu3eB1FpEkx1lrr\n9uDvv/+eDz/8kI8++oiKigoGDRrEqFGjApmvXmzeXP+7+upUYnCw27fhTLoDKrbhu/NBEpNTG+1Y\nfqkxfy4/FyrjgCMbiy3cgnPXdZhLrsaXdV6Akh2+UPlcQmUcoLG4Va+XqH7Srl07LrroIn7/+99z\nzDHHMHfu3CMKJ1IfbOUenMf/AiWF+G7+M6ZdkteRRPZhEo+GDsdgC3SZSqQhub7JeMuWLSxcuJCF\nCxeybds2Bg4cyIUXXhjIbCIHZJ0anOkPw/o1+H73P5huwTVDReTnTEo69p052B3b/ffliEjAuSo4\nY8eOZfPmzaSlpXH55ZfTp08fwsLCAp1NZL+stdiZT8PyTzCXXI3pf6LXkUQOyqRmYN+ajV21BDNw\nqNdxRJoEVwXnnHPOIS0tjYgI7aci3rP/l4Od9wYm67yguqdB5ICO6QrRcf5VjVVwRBqEq3twTjzx\nRPbs2cP8+fN59dVXAf8sp+JGur6INF5O/gLs7BmY/idhLrrK6zgirhifD5MyAD5djq2q8jqOSJPg\nquCsXr2aW2+9lQULFjBnzhzAf0/OP//5z4CGE/k5u/ZT7DOToWtPzNVjMD7Pt1ITcc2kZsCeXbBG\nm2+KNARX/0I8++yz3HrrrfzpT3+qvfema9eurFu3LqDhRH5iN3+D8/h9kHA0vpv/hGmmy6XSyPTo\nA81baNE/kQbiquAUFhaSnJy812Ph4eHU1NQEJJTIz9myYpxHJ0CzCHy/H69ZKNIomWYR0KsvtmAx\nh7H8mIgcIVcFJykpiYKCgr0eW7VqFZ06dQpIKJGf2N07/asU79iO75a7MQlHeR1J5IiZlHQoK4Zv\ndPZbJNBczaK6/PLLeeCBB+jbty+VlZU89dRTLF26lNtvvz3Q+aQJs9XVONMegO824rtlHOaYLl5H\nEqkTkzwAa3zYgkWYY7p6HUckpLk6g9O9e3ceeughOnbsyNChQ2nbti1//etf6dpVf0ElMKy12Bce\nh9XLMZffhOnd3+tIInVmIqOgaw//dHERCahDnsFxHId7772XP/3pT5x3ntYckYZhX3sR+9F7mHNG\n4Dv5dK/jiNQbk5qBnT0DW/SDLrmKBNAhz+D4fD62bt2qm+KkwTgL3sW+8RLmpNMw5/zG6zgi9cqk\nZABoNpVIgLm6RHXhhRfyz3/+k8LCQhzH2euPSH2yq5Zi/zUVevXFXHYTxhivI4nUK3NUe2jXUQVH\nJMBc3WT85JNPAjB//vx9nps5c2b9JpImy278CufJByDpWHzX/w8m3PVesCKNiklNx76bg91ZgWnV\nxus4IiHJ1b8gU6ZMCXQOaeJs4Rb/dPA2Uf7p4C1aeR1JJGBMSgb27TnYVUsxGZlexxEJSa4KTmJi\nIuCf2bJ9+3YiIyN16UDqja3YhvPYBKiuwvfH+zAxcV5HEgms47pDVAysWAwqOCIB4arg7Nixg2ee\neYaPP/6YmpoawsPDGThwIFdddRVt2uj0qhw5W7nHvwVD0Q/4xkzEtOvodSSRgPNvvpmOXfIhtroK\nE97M60giIcfVTcZTp06lsrKSBx98kOeff54HHniAqqoqpk6dGuh8EsKs4+A8PRm++hzf1bdhuvfy\nOpJIgzEp6bBrJ6z91OsoIiHJVcH59NNPueWWW0hKSqJ58+YkJSVx0003sXr16kDnkxBmZz8Dyz7C\nXHw1Ju1kr+OINKwTUiAiQov+iQSIq4LToUMHtm7dutdjRUVFtG/fPiChJPQ5//cqNvc1zGnn4Dtd\nC0hK02MimkPPvtgV2nxTJBBc3YPTu3dv7rvvPgYPHkxCQgJFRUUsWLCAIUOGMG/evNrjTj311IAF\nldBhl3yInfU09DsRc/Eor+OIeMakZvjP4Hy7HjpprzWR+uSq4Hz55ZccffTRfPnll3z55ZcAHH30\n0axdu5a1a9fWHqeCI4di137mv++m6wn4rh6D8YV5HUnEMyY5DWsMtmAxRgVHpF65Kjjjx48PdA5p\nAuz33/pnTCW0xXfTn/yn6EWaMBMVA116YFcsgnO1LYlIfXJ1D45IXdmyEpxHJ0B4OL7R4zFtoryO\nJBIUTGoGfLMeW1zodRSRkKKCIwFnd+/E+ce9ULEN3y3jMIlHex1JJGiYlHQA7ErtTSVSn1RwJKBs\ndTXOEw/Apq/x/e4OzLHdvI4kElTM0UlwdAdNFxepZyo4EjDWWv/O4J8tx1x2IyY5zetIIkHJpKTD\nmk+xO3d4HUUkZLgqOJs2baKsrAyA3bt3M2vWLGbPns2ePXsCGk4aN/v6S9iFuZizR+AbPMzrOCJB\ny6RmQE019rNlXkcRCRmuCs6jjz7Kzp07AXj++ef5/PPP+fLLL3nqqacCGk4aL+fD/8O+/iLmxNMw\nmh0icnCdj4fIaCjQfTgi9cXVNPGtW7fSvn17rLUsXryYRx55hIiICG6++eZA55NGyH66FPvC49Az\nFXP5Tdp5XuQQjC8M0ycNu/wTbHU1JtzVr2YROQhXZ3AiIiLYtWsXX331FQkJCURFRdGsWTOqqqoC\nnU8aGbtxHc4TD0KHY/Bdf6d+UYu4ZFIzYOcO+PIzr6OIhARX//qcdNJJ3HvvvezatYszzzwTgA0b\nNtC2bduAhpPGxRb94J8O3roNvtF3Y1q28jqSSONxQio0i8CuWIw5IcXrNCKNnquCM3LkSFasWEFY\nWBi9e/cGwBjDlVdeGdBw0njYHdv9C/lVVeK7bSImJt7rSCKNimneAnqmYgsWYS+5Rpd2RerIVcFZ\nvHgx/fr1I/xnlxu6dKmffVMqKiqYPHkyhYWFJCYmMmbMGNq0abPXMUVFRTz++OOUlZVhjCErK4vh\nw4fXy/tL3dmqSpwp90HRFny33otp38nrSCKNkklJx65YDN99DUnHeR1HpFFzdQ/O7Nmzufbaa3ni\niSf49NNP6zVATk4OycnJPPbYYyQnJ5OTk7PPMWFhYVx++eVMnjyZ++67j7lz57Jp06Z6zSFHxjoO\n9unJ8NVqzKgxmON7ex1JpNEyKQPAGC36J1IPXBWchx56iIkTJxITE8OTTz7J9ddfz/PPP8/69evr\nHCA/P5/MzEwAMjMzyc/P3+eY2NhYOnfuDEDLli3p0KEDJSUldX5vqTv78gzs0oWYi67CN2Cw13FE\nGjUTFQvHdcdqurhInbleyTgpKYkRI0bwj3/8g9tuu41vvvmGsWPH1jlAeXk5sbGxAMTExFBeXn7Q\n47du3cqGDRvo2rVrnd9b6sbJfRX7f69iTjsHc3q213FEQoJJzYCNX2FLi72OItKoHdYc3qKiIj76\n6CM+/PBDCgsLGTp0qKufmzhxYu1KyD83YsSIvb43xhz0xrrdu3fz8MMPM3LkSFq1OvAMndzcXHJz\ncwGYNGkSCQkJrnIejvDw8IC8rheOZCy7P36f8lnP0Dwjk+gb7sCEhQUo3eFp6p9LMAqVcUDDjKX6\nlDMp/s/ztF73Ga3OvCBg7xMqn0uojAM0lnrP4OaguXPn8uGHH7Jx40b69u3LhRdeuM9Nxwczbty4\nAz4XHR1NaWkpsbGxlJaWEhUVtd/jqqurefjhhxk8eDAZGRkHfb+srCyysrJqvy8qKnKV83AkJCQE\n5HW9cLhjsV+txnnkHuh8PFVX3ExxaWngwh2mpvy5BKtQGQc0zFhsi9bQth3bF85jZ9qQgL1PqHwu\noTIO0Fjcat++vavjXDWUZcuWcfrpp5Oenk6LFi3qFOyX0tLSyMvLIzs7m7y8PAYMGLDPMdZannji\nCTp06MDZZ59dr+8vh8d+v8k/Yyq+Lb6b/oyJaO51JJGQYozBpGZg572B3b0T00LrSYkcCVf34Iwd\nO5YhQ4bUe7kByM7OZuXKlYwePZpVq1aRne2/l6OkpIT7778fgDVr1jB//nw+/fRTbr/9dm6//XaW\nLdOmdA3NlpfiPHoP+Hz4fj8eE7n/s20iUjcmJR2qq+Gz5V5HEWm0PF9HPzIykrvvvnufx+Pi4mpv\nYu7RowezZs1q6GjyM3b3LpzH7oXt5fhu/ysm8WivI4mEri4nQJtIbMEiTP+TvE4j0ii5nkUlTZet\nqcF58kH4dgO+392BObab15FEQpoJC8Mkp2FXLsHW1HgdR6RRUsGRg7LWYv89DT5dirnsekyffe+R\nEpH65998swK+Wu11FJFGSQVHDsq+ORO74F3MWRfjG3Km13FEmo6efSG8mVY1FjlCru7B2bp1Ky++\n+CJff/01u3fv3uu5adOmBSSYeM9Z+B721f/FDBqKOe+3XscRaVJMi5ZwQop/882Lr9bmmyKHyVXB\nefTRRznqqKO44ooraN5c04KbAvvZcuwLU+CEFMwVN+uXq4gHTGo6dtUS2PwNdDjG6zgijYqrgrNp\n0yYmTpyIz6crWk2B/WY9zrRJ0K4jvhvGYsKbeR1JpEkyfQZgwT+bSgVH5LC4aiwnnHACX3/9dYCj\nSDCwxVv908Fbt8Y3ejympRYZE/GKiYn3b765QptvihwuV2dwEhMTue+++0hPTycmJmav5y655JKA\nBJOGZ3dU4Dw6ASr34PufBzCx8V5HEmnyTEo6Nudf2LISTEyc13FEGg1XZ3D27NlD//79qampobi4\neK8/EhpsVRXO1Pug8Ht8N92F6dDJ60giwo/TxQG7UmdxRA6HqzM4N954Y6BziIes42Bn/B3Wfoa5\n5g+Y45O9jiQiP2nfCRKPxhYsBi3VIOLaAQvO1q1badu2LQA//PDDAV/gqKOOqv9U0qAqnp+KzV+A\nuXAkvoxMr+OIyM8YY/yXqT54G7t7l3/6uIgc0gELzh//+Eeef/55AEaPHn3AF5g5c2b9p5IG47z3\nOjtf/V/M0LMww873Oo6I7IdJzcDmvgarl0O/E72OI9IoHLDg/FRuQCUmpNVU03zgKVSNuEZr3YgE\nq649oVUbbMFijAqOiCue7yYu3vINO5/ouDiKS0q8jiIiB2DCwjB90rCr8rE1NZiwMK8jiQQ9VwWn\npqaGuXPnsnr1arZv377XcxMmTAhIMGk4Rgs4igQ9k5qB/eQDWPcFdO/ldRyRoOfqX7bnnnuO3Nxc\nevbsyfr168nIyKC8vJxevfSXTESkQfTqC+Hh2BXafFPEDVcFZ9GiRdx1110MHz6csLAwhg8fzu23\n385nn30W6HwiIgKYFq2gRx//5pvWeh1HJOi5KjiVlZXEx/tXtY2IiGDPnj106NBB2zeIiDQgk5IO\nW7+HLZu8jiIS9FwVnA4dOrBu3ToAOnfuzOzZs5kzZw5xcVo2XESkoZg+6YB/800ROThXBWfkyJG1\nO4lfeeWVbNiwgaVLl3LdddcFNJyIiPyXiUuAY7pq800RF1zNouratWvt1+3atWPcuHEBCyQiIgdm\nUtOxr72I3VaKiYr1Oo5I0HJVcD799NP9/3B4OPHx8SQmJtZrKBER2T+TmoF99X+xK/Ixg4d5HUck\naLkqONOmTaO0tBSAyMjI2rVwoqOjKSsro1OnTtx66620a9cucElFRAQ6HAvxbf2XqVRwRA7IVcE5\n9dRT2blzJ5dccgkRERFUVlYya9YsWrVqxfDhw3n++eeZPn26Ll2JiASYMcZ/Fmf+XOye3ZjmLbyO\nJBKUXN1k/NZbb3HppZcSEREB+KeKjxgxgjfffJMWLVpwxRVXsH79+oAGFRERP5OSDlWV8HmB11FE\ngpargtOiRYvaaeI/Wb9+Pc2bN/e/iJb6FxFpON16QcvWmi4uchCuLlFdfPHF/OUvfyEtLY340UZC\nMwAAIABJREFU+HiKi4tZunQpo0aNAmDVqlVkZGQENKiIiPiZ8HBMcn/syiVYpwbj0+abIr/kquBk\nZmbSpUsXPvnkE0pLS2nfvj0XXHABSUlJAPTv35/+/fsHNKiIiPxMagYsng/r10DXnl6nEQk6rgoO\nQFJSEhdeeGEgs4iIiEumVz9sWDi2YDFGBUdkH7p5RkSkETKtWsPxvbW7uMgBqOCIiDRSJjUDtnyH\n1eabIvtQwRERaaRqN9/U3lQi+zisglNUVMTatWsDlUVERA6DiU+ETp01XVxkP1zdZFxUVMSjjz7K\n119/DcALL7zAJ598QkFBAddff30g84mIyEGYlHTsGzOx28sxkdFexxEJGq7O4Dz11FP07duX5557\njvBwfyfq06cPK1eurHOAiooKJk6cyOjRo5k4cSIVFRX7HFNZWcnYsWO5/fbbue2225g1a1ad31dE\nJBSY1AywFrsy3+soIkHFVcH56quvyM7O3mvF4latWrFz5846B8jJySE5OZnHHnuM5ORkcnJy9jmm\nWbNmjB8/noceeogHH3yQgoICXSoTEQHo2BniErAFug9H5OdcFZzo6Gi2bNmy12ObNm0iISGhzgHy\n8/PJzMwE/AsK5ufv+18hxhhatPBvKFdTU0NNTQ3GmDq/t4hIY2eM8e9NtXo5tnKP13FEgoargnPO\nOefwwAMP8P777+M4Dh9++CGTJ0/mvPPOq3OA8vJyYmNjAYiJiaG8vHy/xzmOw+23384111xDcnIy\n3bp1q/N7i4iEApOaAZV74PMVXkcRCRqubjI+9dRTiYyMJDc3l/j4ePLy8rjkkktIT0939SYTJ06k\nrKxsn8dHjBix1/fGmAOemfH5fDz00EPs2LGDv/3tb3zzzTd06tRpv8fm5uaSm5sLwKRJk+rlTNMv\nhYeHB+R1vaCxBKdQGUuojAOCdyx20CkUPtma5l+sIOq04a5+JljHcrhCZRygsdR7BrcHDhgwgAED\nBhzRm4wbN+6Az0VHR1NaWkpsbCylpaVERUUd9LVat25Nr169KCgoOGDBycrKIisrq/b7oqKiI8p9\nMAkJCQF5XS9oLMEpVMYSKuOAIB9Lr37sWryAPRddjfEd+uR8UI/lMITKOEBjcat9+/aujjtgwZk3\nb56rFzj11FPdJTqAtLQ08vLyyM7OJi8vb78latu2bYSFhdG6dWsqKytZuXJlvVweExEJGSnpkL8A\nNqyFLj28TiPiuQMWnAULFtR+ba1lzZo1xMTEEB8fT3FxMWVlZfTo0aPOBSc7O5vJkyczb948EhMT\nGTNmDAAlJSU8+eSTjB07ltLSUh5//HEcx8Fay6BBg7R7uYjIz5jk/tiwMOyKRRgVHJEDF5zx48fX\nfv3MM88wYMAAzjrrrNrH3nrrrX1mVh2JyMhI7r777n0ej4uLY+zYsQAcc8wxPPjgg3V+LxGRUGVa\ntYHuvf3TxS+40us4Ip5zNYtqwYIF/OpXv9rrsTPPPHOvszwiIuItk5IO33+L3brZ6yginnNVcGJi\nYliyZMlejy1ZsuSQNwSLiEjDMSk/br6pvalE3M2iuuqqq3j44Yd57bXXiI+Pp6ioiE2bNnHbbbcF\nOp+IiLhkEo6CpGP9u4sPO9/rOCKeclVw+vTpwz/+8Q8KCgooKSmhX79+9OvXj8jIyEDnExGRw2BS\nM7BvzsZu34aJ1Fl2abpcr4MTFRXFkCFDAplFRETqyKRm+HcXX7UEc2LdZrmKNGauCs7dd999wBWG\nJ0yYUK+BRESkDjp1gZh47IpFoIIjTZjrrRp+rqysjPfff5/BgwcHJJSIiBwZYwwmNR378fvYqkpM\nswivI4l4wlXBOeWUU/Z5bODAgUydOpULL7ywvjOJiEgdmJR07AdvwxcrITnN6zginnA1TXx/4uLi\n2LhxY31mERGR+nB8H2jeUtPFpUlzdQbnl/tSVVZWsmjRIrp37x6QUCIicuRMs2bQuy92RT72t46r\nzTdFQo2rgvPLFYubN2/O8ccfv9fWDSIiEjxMagZ26Uew8Ss4Tv8xKk2Pq4Lz832pREQk+JnkNKzP\nhy1YjFHBkSbI1XnLq666ar+PX3PNNfUaRkRE6odpHQndevmni4s0Qa4KTk1NzT6PVVdX4zhOvQcS\nEZH6YVLT4buN2MItXkcRaXAHvUT10wJ/VVVV+1ymKi4u1k3GIiJBzKRkYGc+jV2xCJN1ntdxRBrU\nQQvOTwv8ffXVVwwdOrT2cWMM0dHR9O7dO7DpRETkiJnEo6HDMdiCxaCCI03MQQvOTwv8devWjQ4d\nOjREHhERqUcmJR37zhzsju3++3JEmogDFpz58+fXbq65Zs0a1qxZs9/jfrmNg4iIBA+TmoF9a7Z/\n882BQw/9AyIh4oAFZ+HChbUF55fr4PycCo6ISBA7pitEx0HBYlDBkSbkgAVn7NixtV9rHRwRkcbJ\n+HyYlAHYRfOxVVX+VY5FmoDDWr+7vLycH374Ya8/IiIS3ExqBuzZBWtWeR1FpMG4Wsm4oKCAadOm\nUVZWts9zM2fOrPdQIiJSj3r0geYt/NPFe/fzOo1Ig3BVcJ5++ml+/etfc8oppxARERHoTCIiUo9M\nswjo1RdbsBh76fUYY7yOJBJwri5RVVRUcPrpp6vciIg0UiYlHcqK4Zt1XkcRaRCuCs6pp57K+++/\nH+gsIiISICZ5ABgftkB7U0nT4OoS1Zdffsnbb7/Nq6++SkxMzF7PTZgwISDBRESk/pjIKOh2gn9V\n4/N+63UckYBzVXBOPfVUrXcjItLImZR07OwZ2KIfICHB6zgiAeWq4Py0ZYOIiDReJiXDX3BW5EOP\nXl7HEQkoVwVn3rx5+328WbNmxMfH061bN5pp8SgRkaBmjmoP7TpiVyyCS0Z6HUckoFwVnPnz57N2\n7Vqio6OJj4+nuLiY8vJyunTpwtatWwG444476NKlS0DDiohI3ZjUdOy7OTg7tnsdRSSgXBWcpKQk\n0tPTGT58eO1j77zzDt999x333nsv//nPf3jmmWe47777AhZURETqzqRkYN+ew54lH0Gv/l7HEQkY\nV9PEFy5cyJlnnrnXY8OGDePDDz/EGMO5557Lpk2bAhJQRETq0XHdIeEodr7yL2xNjddpRALGVcGJ\njo5m6dKlez22bNkyoqKiAKiqqiI83NXJIBER8ZDx+fBdeBXVG9dhF8z1Oo5IwLhqJVdddRWPPPII\nnTp1qr0H55tvvuG2224D/Ovk/PIMj4iIBKl+g2jWux9Vr/4bO2AwpnWk14lE6p2rgpOSksKUKVNY\nvnw5JSUl9O3bl379+hEZGVn7fEpKyhEFqKioYPLkyRQWFpKYmMiYMWNo06bNfo91HIc777yTuLg4\n7rzzziN6PxGRps4YQ+TVt1Jy20js6y9hRlzrdSSReuf6ulJkZCRDhgyp9wA5OTkkJyeTnZ1NTk4O\nOTk5XHbZZfs99q233qJDhw7s2rWr3nOIiDQlzY7tisk8A/v+m9jBZ2A6dPI6kki9clVwampqmDt3\nLqtXr2b79r2nFtZ1q4b8/HzuueceADIzM7nnnnv2W3CKi4tZtmwZF1xwAW+88Uad3lNERMCc+1vs\n4vk4s6bju3WCdhmXkOLqJuPnnnuO3Nxcevbsyfr168nIyKC8vJxeveq+EmZ5eTmxsbEAxMTEUF5e\nvt/jnn32WS677DL9BRQRqScmMgpz7qWwugBWLPY6jki9cnUGZ9GiRdx3330kJCQwa9Yshg8fTkpK\nCk899ZSrN5k4cSJlZWX7PD5ixIi9vjfG7LfALF26lOjoaDp37sxnn312yPfLzc0lNzcXgEmTJpEQ\ngD1XwsPDA/K6XtBYglOojCVUxgGhORb768spXpgLc54lPvN0TLMIr6MdllD8TEJBMIzFVcGprKwk\nPj4egIiICPbs2UOHDh34+uuvXb3JuHHjDvhcdHQ0paWlxMbGUlpaWjv1/OfWrFnDkiVLWL58OZWV\nlezatYvHHnuM0aNH7/c1s7KyyMrKqv2+qKjIVc7DkZCQEJDX9YLGEpxCZSyhMg4I3bHYC0fiTB5P\n4cwZ+M78tcfJDk+ofiaNXSDH0r59e1fHuSo4HTp0YN26dXTt2pXOnTsze/ZsWrZsSVxcXJ1CAqSl\npZGXl0d2djZ5eXkMGDBgn2MuvfRSLr30UgA+++wzXn/99QOWGxEROTymZ19ISce+MQs7cCgmpu6/\n20W85uoenJEjR+Lz+Q+98sor2bBhA0uXLuW6666rc4Ds7GxWrlzJ6NGjWbVqFdnZ2QCUlJRw//33\n1/n1RUTk0HwXj4LqKuwrL3gdRaReGGut9TpEoG3evLneX1OnEoOTxhJ8QmUcEPpjcV5+Fjv3P/ju\nehhzXDePkh2eUP9MGqtGc4kKoLCwkI0bN7J79+69Hj/55JMPL5mIiAQlc9bF2I/n4bz0FL47H9Ss\nVWnUXBWcV155hTlz5pCUlERExH/vsDfGqOCIiIQI07IV5oIrsc8+il30AWbgUK8jiRwxVwXnjTfe\nYNKkSSQlJQU6j4iIeMgMGupf3XjOc9jUgZgWLb2OJHJEXN1k3KZNGxITEwOdRUREPGZ8Pny/uQ7K\nSrBvz/E6jsgRcz2L6sknn2TdunUUFRXt9UdEREKL6dIDk5GJffcVbOEWr+OIHBFXl6iqq6tZuXIl\nCxcu3Oe5mTNn1nsoERHxlvn1SOzyT3BefpawG+70Oo7IYXNVcKZPn85vfvMbTjrppL1uMhYRkdBk\nYuMxwy/C5vwL+8VKTI8+XkcSOSyuLlE5jsPQoUNp0aIFPp9vrz8iIhKazOnnQXxbnJf+ia2p8TqO\nyGFx1VDOOecccnJyaAJrAoqIyI9MRHN8F42C7zZiF8z1Oo7IYXF1iertt9+mrKyMV155hTZt2uz1\n3LRp0wISTEREgkC/QXB8MvbVf2MHDMa0jvQ6kYgrrgrOLbfcEugcIiIShIwx+EZcg3PvGOxrL2J+\nU/c9CEUagquC07Nnz0DnEBGRIGWSjsNknoH94C3skDMxHTp5HUnkkHSXsIiIHJI597fQoiXOrOm6\nH1MaBRUcERE5JBMZhTn3UlhdACsWex1H5JBUcERExBWT+Sto1xFn1tPYqiqv44gclAqOiIi4YsLD\n8Y24Bgq3YHNf8zqOyEG5usm4oqKC1157jY0bN7J79+69npswYUJAgomISPAxPftCSjr2zVnYQUMx\nMXFeRxLZL1cF59FHH6W6uppBgwZpqwYRkSbOd/EonPE3Y195AXPV772OI7JfrgrO2rVrmT59Os2a\nNQt0HhERCXKmbXtM1nnYd+ZgTxmOOa6b15FE9uHqHpxOnTpRXFwc6CwiItJImLMuguhYnJeewjqO\n13FE9uHqDE7v3r3561//yimnnEJMTMxez5166qkBCSYiIsHLtGiFOf8K7LOPYhfnYQYO9TqSyF5c\nFZwvvviC+Ph4Vq1atc9zKjgiIk2TGTQU+/6b2DnPYVMHYlq09DqSSC1XBWf8+PGBziEiIo2M8fnw\n/eY6nEl3YN+egzn/Mq8jidQ67HVwrLU4jlP7R0REmi7TpQdm4CnYd1/BFm7xOo5ILVdncEpKSnj6\n6af5/PPP2bFjx17PzZw5MyDBRESkcTAXXIld9jHOyzMIu2Gs13FEAJdncJ566inCw8O5++67adGi\nBQ888ABpaWlce+21gc4nIiJBzsTGY4ZfBMs+xn6+wus4IoDLgrN27VpuuOEGjj32WIwxHHvssdxw\nww288cYbgc4nIiKNgDn9PIhvizNzOramxus4Iu4Kjs/nIywsDIDWrVuzbds2mjdvTklJSUDDiYhI\n42AimuO7eBR8txG7YK7XcUTc3YPTtWtXli9fTnp6OikpKUyePJmIiAi6dOkS6HwiItJY9B0Exydj\nc/6NHTAY0zrS60TShLk6g3PLLbfQs2dPAEaOHEnv3r3p2LEjo0ePDmg4ERFpPIwx/t3Gd+7Avvai\n13GkiXN1Bqd169a1X0dERPDrX/86YIFERKTxMknHYTLPwH7wFnbImZgOnbyOJE2UqzM4VVVVvPji\ni9x8881ceeWVAKxYsYJ33nknoOFERKTxMef+Flq0xJk1HWut13GkiXJVcJ577jm+/fZbRo8ejTEG\ngI4dO/Luu+8GNJyIiDQ+JjLKX3JWF8CKxV7HkSbKVcFZvHgxo0ePpnv37rUFJy4uTrOoRERkv0zm\nmdCuI86sp7FVVV7HkSbI1T044eHh+2zLsG3bNiIj636HfEVFBZMnT6awsJDExETGjBlDmzZt9jnu\npptuokWLFrVT1idNmlTn9xYRkcAw4eH4RlyDM3k8Nvc1zK9076Y0LFcFZ+DAgUyZMoWRI0cCUFpa\nyrPPPsuJJ55Y5wA5OTkkJyeTnZ1NTk4OOTk5XHbZ/jdsGz9+PFFRUXV+TxERCTzTsy+kpGPfnIUd\nNBQTE+d1JGlCXF2iuvTSS2nbti1/+MMf2LlzJ6NHjyY2NpaLLrqozgHy8/PJzMwEIDMzk/z8/Dq/\npoiIBAffxaOgpgr7ygteR5EmxvUlqpEjRzJy5MjaS1M/3YtTV+Xl5cTGxgIQExNDeXn5AY+dOHEi\nPp+P008/naysrHp5fxERCRzTtj0m6zzsO3Owp/wKc1x3ryNJE3HQglNUVLTfx4uLi2u/TkhIOOSb\nTJw4kbKysn0eHzFixF7fG2MOWJwmTpxIXFwc5eXl/OUvf6F9+/a1iw/+Um5uLrm5uQBMmjTJVcbD\nFR4eHpDX9YLGEpxCZSyhMg7QWI6Uc8X1FC/6gLCXZxB7/5MYn6uLB67oMwlOwTCWgxacm2666ZAv\nMHPmzEMeM27cuAM+Fx0dTWlpKbGxsZSWlh7wHpu4uLja4wcMGMBXX311wIKTlZW11xmeAxW1ukhI\nSAjI63pBYwlOoTKWUBkHaCx1Yc+7jKpnH6XwrTn4Bg6tt9fVZxKcAjmW9u3buzruoAXnmGOOobKy\nkszMTAYPHlxbMupTWloaeXl5ZGdnk5eXx4ABA/Y5Zvfu3VhradmyJbt372blypVceOGF9Z5FREQC\nwwwa6l/deM5z2NSBmBYtvY4kIe6gBefBBx/km2++IS8vj3HjxpGUlMSQIUPIyMggIiKiXgJkZ2cz\nefJk5s2bVztNHKCkpIQnn3ySsWPHUl5ezt/+9jcAampqOPnkk0lNTa2X9xcRkcAzPh++EdfiTLoD\n+/YczPn7ny0rUl+MdbmOtuM4rFy5kg8++ICCggLuvvtuOnfuHOh89WLz5s31/po6lRicNJbgEyrj\nAI2lPjhPP4JdshDfvY9jEo+u8+vpMwlOwXCJyvWdXlu2bGH16tV8+eWXHHfccftdjE9ERORgzAVX\ngs+H8/IMr6NIiDvoJaqKigo+/PBD8vLy2L17N4MHD2bChAme3xktIiKNk4mNxwy/CJvzL+znKzAn\npHgdSULUQQvO7373O9q2bcvgwYPp3t2/dsGWLVvYsmVL7TG9e/cObEIREQkpZlg2dsG7ODOn4xv3\nd0xYmNeRJAQdtODExMRQWVnJe++9x3vvvbfP88YYpkyZErBwIiISekyzCHwXj8KZNgk7fy5m6HCv\nI0kIOmjBefzxxxsqh4iINCV9B8HxydhX/41NH4xpXffNm0V+rv6WkxQREXHJGINvxDWwcwf2tRe9\njiMhSAVHREQ8YZKOw2Se6V8A8LtvvI4jIUYFR0REPGPOuxRatMKZNR2Xy7KJuKKCIyIinjFtojDn\nXgqrC2DFIq/jSAhRwREREU+ZzDOhXUecWc9gq6q8jiMhQgVHREQ8ZcLD/TccF27B5r7mdRwJESo4\nIiLiOdOzL6RmYN+chS0r8TqOhAAVHBERCQq+i66Cmirsf573OoqEABUcEREJCqZte0zWediP52E3\nrPU6jjRyKjgiIhI0zFkXQXQszotPYR3H6zjSiKngiIhI0DAtWmEuuAI2rMUuzvM6jjRiKjgiIhJU\nzMChcGw37JznsLt3eR1HGikVHBERCSrG58M34looK8G+/bLXcaSRUsEREZGgY7r0wAw8BftuDrZw\ni9dxpBFSwRERkaBkLrgSwsJwXp7hdRRphFRwREQkKJnYeMyvLoRlH2M/X+F1HGlkVHBERCRomWHZ\nEN8WZ+Z0bE2N13GkEVHBERGRoGWaReC7eBR8txE7f67XcaQRUcEREZHg1ncQHJ+MffXf2B3bvU4j\njYQKjoiIBDVjjH/a+M4d2Nde9DqONBIqOCIiEvRM0rGYzDOxH7yF/e4br+NII6CCIyIijYI571Jo\n0Qpn5j+x1nodR4KcCo6IiDQKpk0U5txL4fMVsGKR13EkyKngiIhIo2FO+RW074Qz6xlsVZXXcSSI\nqeCIiEijYcLC8F1yDRRuwea+5nUcCWIqOCIi0qiYnqmQmoF9cxY1JUVex5EgpYIjIiKNju+iq6Cm\niop/PeF1FAlS4V4HEBEROVymbXtM1nnsfmcOFG7BpKRj+qRj4hK8jiZBQgVHREQaJXP2CFq2bMnO\nhe9h//0E9t9PQKfO/rKTkuH/2hivY4pHPC84FRUVTJ48mcLCQhITExkzZgxt2rTZ57gdO3bwxBNP\n8O2332KM4YYbbqB79+4eJBYRkWBgmjcn8oob2f2ri2DLd9iVi7EFi7FvzMK+/hLExGNSBvjLTo9k\nTLMIryNLA/K84OTk5JCcnEx2djY5OTnk5ORw2WWX7XPcjBkzSE1N5Q9/+APV1dXs2bPHg7QiIhJs\njDHQLgnTLgnOuAC7vRy7agl2RT72kw+wee9A8xbQMxWTkoHpk4aJjPY6tgSY5wUnPz+fe+65B4DM\nzEzuueeefQrOzp07+fzzz7npppsACA8PJzzc8+giIhKETGQ05sTT4MTTsFWVsGYVdsVif+FZ/gnW\nGOh8vL/spKbD0Um6lBWCPG8J5eXlxMbGAhATE0N5efk+x2zdupWoqCimTp3Kxo0b6dy5MyNHjqRF\nixYNHVdERBoR0ywCevfH9O6PvfR6+Ha9/zLWisXY/zyH/c9z0Lad/wbl1HTo2hMTFuZ1bKkHDVJw\nJk6cSFlZ2T6PjxgxYq/vjTH7bdE1NTVs2LCBUaNG0a1bN2bMmEFOTs4+P/+T3NxccnNzAZg0aRIJ\nCfV/V314eHhAXtcLGktwCpWxhMo4QGMJRoc9jsRE6JcBQE3RVvYsWcie/A+p/OAtbO6rmDaRRPQb\nRPMBJxPRdyC+1vveExooofKZQHCMpUEKzrhx4w74XHR0NKWlpcTGxlJaWkpUVNQ+x8THxxMfH0+3\nbt0AGDhwIDk5OQd8zaysLLKysmq/Lyqq/4WgEhISAvK6XtBYglOojCVUxgEaSzCq2zh8kDYY0gbj\n270LVhdgVyxm97JP2D3/XQgLg+69f5yCPgCTeHS9Zv+lUPlMILBjad++vavjPL9ElZaWRl5eHtnZ\n2eTl5TFgwIB9jomJiSE+Pp7NmzfTvn17Vq1aRVJSkgdpRUQkFJkWLaHfIEy/QVinBtav/fG+ncXY\nl/6Jfemf0OEY/307KQPg2G4Yn9bKDWaeF5zs7GwmT57MvHnzaqeJA5SUlPDkk08yduxYAEaNGsVj\njz1GdXU1bdu25cYbb/QytoiIhCjjC4OuJ2C6ngC/vhK7dbP/BuUVi7HvvIx9axZExfy43k469EjB\nNG/udWz5BWOttV6HCLTNmzfX+2vqVGJw0liCT6iMAzSWYNTQ47A7tmM/XQYrFmM/XQq7dkKziB+n\noP94KSs69oheO1Q+E9AlKhERkUbFtI7EZGRCRia2ugrWfoZdmY8tWOQ/wwNwXPcfz+4MgA7Hagq6\nR1RwREREjoAJb+Y/c9MzFXvJNfDdxv/et5PzL2zOvyC+7X8vZXXv5f8ZaRAqOCIiInVkjIGkYzFJ\nx8JZF2PLS/1ndlYsxn74LnbeG9CyFaZXP0hJxyT3x7SO9Dp2SFPBERERqWcmOhYzeBgMHobdswe+\nWOEvOyvzYcmHWJ/Pv6hgin+BQdPW3X0l4p4KjoiISACZ5s39Z21S0rGOAxu/8q+mvHIxdvYz2NnP\nwNFJbOvTH6fGAZ8PfGH+dXjCwv77tS8Mwn58bj+PmbDwgz5f+/1Pj4WFH/x5X1ijngqvgiMiItJA\njM/nvwn5uO5w/mXYoh9+nIK+iN2f5PlvXK5xwKnx/6mpcf3aAZkSbcy+Zcvn27d4/eKx7X3S4Oz9\n7zbQUFRwREREPGISjsKcdjacdvZ+p1Zba8E6/tJTU/1j6XH+W35qi9DPHqupOfjzTg225uDP+//v\nwV7T2esx+9Nr/JjRRHi/LpAKjoiISJAyxoD58cxIs/qbgRXoiettEhLY7fGaPo334pqIiIjIAajg\niIiISMhRwREREZGQo4IjIiIiIUcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5Kjg\niIiISMhRwREREZGQo4IjIiIiIUcFR0REREKOsdZar0OIiIiI1CedwTlCd955p9cR6o3GEpxCZSyh\nMg7QWIJRqIwDNJb6poIjIiIiIUcFR0REREJO2D333HOP1yEaq86dO3sdod5oLMEpVMYSKuMAjSUY\nhco4QGOpT7rJWEREREKOLlGJiIhIyAn3OkBjMHXqVJYtW0Z0dDQPP/wwABUVFUyePJnCwkISExMZ\nM2YMbdq08Tjpoe1vLLNmzeK9994jKioKgN/85jf069fPy5iHVFRUxOOPP05ZWRnGGLKyshg+fHij\n/FwqKysZP3481dXV1NTUMHDgQC6++OJGORYAx3G48847iYuL484772y047jpppto0aIFPp+PsLAw\nJk2axOTJk9m8eTMAO3fupFWrVjz00EMeJz20N954g3nz5mGMoWPHjtx4441EREQA8Prrr/PCCy8w\nffr02t8BwWR/v7M+/vhjZs+ezXfffcdf//pXunTpAkB1dTVPPPEEGzZswHEchgwZwvnnn+9l/L3s\nbywAb7/9NnPnzsXn89GvXz8uu+yyoB7LgX7/vvTSSyxZsgRjDNHR0dx4443ExcWxdetbpTRPAAAL\nfElEQVRWxowZQ/v27QHo1q0b1113XeCDWjmkzz77zK5bt87edttttY+98MIL9pVXXrHWWvvKK6/Y\nF154wat4h2V/Y5k5c6Z99dVXPUx1+EpKSuy6deustdbu3LnTjh492n777beN8nNxHMfu2rXLWmtt\nVVWVHTt2rF2zZk2jHIu11r7++uv273//u73//vuttY3378qNN/5/e/cXFFX5BnD8uwtLisryNytM\n0cAETZtyJXLBCNIuKicrlIqgCzExG29Kpn82adMkEQ65CDNKURcxetGFwwxWUy5RFCCZCJKLqaVt\nKyD/c6Fl398Fw44U+OMnLsvyez53+55dzvOcs/PynPc9Z98s1dnZOer2kpISdejQoQmM6Pq0tbWp\nrKws1dfXp5RSKjc3V33zzTdKKaVaWlrUrl271ObNm6+ZqyeN1Gf9/vvv6uLFi2rHjh2qubnZ1f7t\nt9+qvLw8pZRSdrtdZWVlKZvNNuExj2akXOrr69Xbb7+t+vv7lVJKdXR0KKUmdy6j9b+9vb2u95SV\nlamioiKllFI2m21YzhNFpqjGICYm5l9XnDU1NaxatQqAVatWUVNT44nQ/mcj5eKNgoKCXDewTZ8+\nnfDwcC5fvuyV50Wj0TBt2jQABgYGGBgYQKPReGUubW1t1NXVkZSU5Grzxjz+G6UUVVVVrFy50tOh\njInT6aS/v5+BgQH6+/sJCgoCoKSkhGeeeQaNRuPhCEc3Up81Z84c12jAP9ntdleevr6++Pv7T0SY\nYzJSLl988QVr165Fp9MBoNfrXdsmay6j9b9Xx9fX1+fx75VMUV2nzs5OVycRGBhIZ2enhyMan/Ly\ncioqKliwYAHPPfecVxVBly5d4uzZs0RGRnrteXE6nWzfvp0///yTNWvWEBUV5ZW5fPzxxzz77LNc\nuXLF1eaNeQzZuXMnWq2Whx56iOTkZFf7qVOn0Ov13HrrrR6MbmyCg4N59NFH2bx5M35+fixbtoxl\ny5ZRU1NDcHAwERERng7xhrnvvvuora0lMzOT/v5+0tPTJ31fZrVaaWpqorS0FJ1OR1paGpGRkV6T\ny9X9L8Bnn31GRUUF/v7+7NixY9j7Xn75Zfz9/dmwYQPR0dFuj01GcG4AjUbj8Up1PFavXs3evXvZ\nvXs3QUFBfPLJJ54Oaczsdju5ublkZGT86+rGm86LVqslJyeHwsJCzpw5w2+//TZsuzfkcuzYMfR6\n/TUfDfWGPIbs3LmTnJwcXn31VY4cOUJjY6Nr23fffec1ozc9PT3U1NRgMpkoKirCbrdjNpv5/PPP\nWb9+vafDu6Gam5vRarUUFRWxd+9eDh8+jM1m83RY1+R0Ounp6eGdd94hLS2NvLw8lFJekctI/W9q\nair79u3DaDRSXl4ODI74FBQUkJOTQ3p6Ovn5+fz1119uj08KnOuk1+tpb28HoL29fVLenDdWgYGB\naLVatFotSUlJnDlzxtMhjYnD4SA3N5f4+HhiY2MB7z8vM2bMYPHixRw/ftzrcvnll1+ora1ly5Yt\n7Nmzh5MnT5Kfn+91eQwJDg4GBr9TBoOB5uZmYHAasbq6mvvvv9+T4Y1ZfX09N998MwEBAfj6+hIb\nG8vRo0ddV9Rbtmyhra2N7du309HR4elwx6WyspK7774bX19f9Ho9d95556Tvz4KDg1mxYgUajYbI\nyEi0Wi3d3d2TPpeR+t+rxcfH8+OPPwKg0+mYNWsWMPjbOLNnz8Zqtbo9RilwrtPy5csxm80AmM1m\nDAaDhyO6fkP/fACqq6u5/fbbPRjN2CilKCwsJDw8nEceecTV7o3npauri97eXmDwiaoTJ04QHh7u\ndbk8/fTTFBYWYjKZ2LZtG0uWLOGll17yujxg8Mp0aJrNbrdz4sQJ5s6dCwwWDLfddhshISGeDHHM\nQkNDsVgs9PX1oZSivr6eFStWsH//fkwmEyaTiZCQEN577z0CAwM9He64hIaGcvLkSWDwvFksFsLD\nwz0c1bUZDAYaGhoA+OOPP3A4HMyaNWtS5zJa/3t10VJTU+O6T6qrqwun0wmAzWbDarUye/Zst8cp\nP/Q3Bnv27KGxsZHu7m70ej0pKSkYDAby8vJobW31qkdfR8qloaGBc+fOodFoCAsLIzMz03XPxGTV\n1NTEm2++ydy5c11THqmpqURFRXndeTl//jwmkwmn04lSiri4OJ588km6u7u9LpchDQ0NHD58mOzs\nbK/Mw2az8f777wODIzZGo5F169YBYDKZiIqKYvXq1Z4M8X9y8OBBvv/+e3x8fIiIiOCFF15w3dQK\ng4/Ev/vuu5NydG2kPmvmzJkUFxfT1dXFjBkziIiI4LXXXsNut1NQUMCFCxdQSpGYmMhjjz3m6RRc\nRsolISGBgoICzp8/j6+vL2lpaSxZsmRS5zJa//v1119jtVrRaDSEhoaSmZlJcHAwP/zwAwcPHsTH\nxwetVstTTz3F8uXL3R6nFDhCCCGEmHJkikoIIYQQU44UOEIIIYSYcqTAEUIIIcSUIwWOEEIIIaYc\nKXCEEEIIMeVIgSOEEEKIKUcKHCHEhHjrrbd4/vnn+fvvv922D5PJRGlpqdv+vhDCe0iBI4Rwu0uX\nLnHq1CkAamtr3bKPoV9KHY+BgYEbEIkQYjKQ1cSFEG5XUVHBwoULiYyMxGw2ExcXBwyOuOh0Omw2\nGxaLhfnz5/Piiy8SFhYGwMWLFykuLubXX38lICCA9evXu9aAMplM+Pn50draSmNjI+np6VRWVgJQ\nVlbG4sWLyc7OJiUlhfz8fG655RbX50JCQtiwYQMNDQ18+OGHPPzww5SVlbF06VK2bt3KsWPHKC0t\npaWlhTlz5rBx40bmzZvngSMnhLheMoIjhHA7s9mM0WgkPj6en3/+ediijpWVlTzxxBMcOHCAiIgI\n8vPzgcH1d3bt2oXRaGT//v1s27aNAwcOcOHChWGfffzxxykpKSEhIQGj0cjatWv59NNPyc7OHlNs\nHR0d9PT0UFBQwKZNmzh79iz79u0jMzOT4uJikpOT2b17t1un1oQQN54UOEIIt2pqaqK1tZW4uDjX\nSsJDIy0A99xzDzExMeh0OlJTUzl9+jStra3U1dURFhZGYmIiPj4+zJ8/n9jYWKqqqlyfNRgMLFq0\nCK1Wi5+f33XFp9FoSElJQafT4efnx1dffUVycjJRUVFotVoeeOABfH19sVgs4z4WQoiJI1NUQgi3\nOnr0KEuXLnUt5Gg0GjGbza5ViK9elXvatGnMnDmT9vZ2WlpasFgsZGRkuLYPDAyQkJDgen0jVvQO\nCAgYVhy1trZiNpspLy93tTkcDi5fvjzufQkhJo4UOEIIt+nv76eqqgqn08nGjRuBwWKht7eXc+fO\nAdDW1uZ6v91up6enh6CgIEJCQoiJieGNN94Y9e8PrWQ82muAm266ib6+Ptfrjo6OYYXRPz8TEhLC\nunXrXKuHCyG8k0xRCSHcprq6Gq1WS15eHjk5OeTk5JCXl0d0dDQVFRUA/PTTTzQ1NeFwOCgtLWXh\nwoWEhoZy7733YrVaqaiowOFw4HA4aG5uHnYPzj/p9XpsNtuwtoiICCorK3E6nRw/fpzGxsZrxpyU\nlMSXX36JxWJBKYXdbqeuro4rV66M/4AIISaMjOAIIdzGbDaTmJhIaGjosPY1a9bw0Ucfcdddd7Fy\n5UoOHTrE6dOnWbBgAVu3bgVg+vTpvP7665SUlFBSUoJSinnz5pGenj7q/h588EE++OADMjIyiImJ\n4ZVXXiEjIwOTycSRI0cwGAwYDIZrxnzHHXewadMmiouLsVqt+Pn5sWjRIqKjo8d/QIQQE0ajlFKe\nDkII8f/p6ke2hRDiRpIpKiGEEEJMOVLgCCGEEGLKkSkqIYQQQkw5MoIjhBBCiClHChwhhBBCTDlS\n4AghhBBiypECRwghhBBTjhQ4QgghhJhypMARQgghxJTzH96FH4gBOw70AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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E8IRXAU1DQwMmk/YpNSEhgYaG/uv7WCwWEhMTe24nJiZy9uxZADIzMykuLmbh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\niMQ8FTQiIiIS81TQiIiISMz7fzn5ZC0heS2sAAAAAElFTkSuQmCC\n", "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: -0.08892059326171875\n", "Number of source used: 1474\n", "RMS: 0.005790887515601094\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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57733Hs2bNy93bKtWrdi9ezd5eXnEx8ezfv16xo4dG0h8ERFPGGMwA3+BW7ce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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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DH8SBd47iu8//FI//6D/w5H+04GNXN+COj9+EC2pWqlbG2Ugp0ef2JGpZjsXvT5zthH94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\nEVEy2LsvDyUmelO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.14960098266601562\n", "Number of source used: 1770\n", "RMS: 0.013925026504311305\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=18.5, 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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Ba9euPea1999/X/Hx8ZKkw4cPKzrak8kjACjUnAsvkdNnqPTt13KzBslu5y+D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\nmzZtSE1NJTw8nMaNG593gLS0NFq1akVKSgppaWmkpaXRr1+/Ux47evR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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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6FsydQ3NLC72+4a1Lpx4Pf66379TzvT4fPb29HK9voLq2jtrGpmEBiiMrk8L8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\nEEJMIxK8xIErT5/W3FA3xUR1402TTk2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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 18.0 and 19.5." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.11351203918457031\n", "Number of source used: 1913\n", "RMS: 0.010453534442076362\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=18.0, mag_max=19.5)\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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POG48KTgrV67Upk2bFBcXp8TERO3YsUO7d+9WnTp1tH37dknS4MGDVadOHS8u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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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IqGs0BDKvvbcXf/+vP8L//L8fYt4N06Jyzi63G/PXfwW33jwPW7/9TVWPPVo+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\nsNvtg0a5Xq8XmzdvxvLly7F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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['n921'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.0 and 19.5." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for n921 band:\n", "Correction: -0.23302078247070312\n", "Number of source used: 1549\n", "RMS: 0.014689342783144942\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=18.0, mag_max=19.5)\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": [ "### I.g - n816 band" ] }, { "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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8WlxcHF999VVA25SUlJCdnc2IESOoVasWJ598cllBeuihh7jvvvu46qqrjjhT\nTk4OOTk5AGRlZZGQkHDE+/otYWFhlbJfL2iW4BQqs4TKHPAnZ0lIoHTe3yicMR73tmnE3DiXyI5d\nKzZgAELl9xIqc4BmqfAMgXz418+l2rdvH2+//TbHHFP+/xIpLS0lOzubXr160a1bN8C/vs5P+vfv\nz7x58w7ZLi4ujvz8/LI/5+fnExcXd9jvSE9PJz09vezPeXl55c5XXgkJCZWyXy9oluAUKrOEyhxQ\nAbOER2GvvwV7eyaFs6/HXDoBp0vPigsYgFD5vYTKHKBZyqtJkybl+lxABefXKxZHRkbSqlWrgx7d\n8HustSxZsoTExEQGDx5c9vrOnTvLrs155513aNq06SHbtmjRgh07dpCbm0tcXBxr165l3LhxgcQX\nEfGcqR+HM2ku7qJZ2L/Nx/1+F06fgV7HEgk5ARWcXz6X6khs3ryZ1atXk5yczKRJkwD/LeFr1qzh\nyy+/xBhDgwYNGD16NOC/7mbp0qVkZGTg8/kYNWoUc+bMwXVd+vbte9giJCIS7EztOjjjZ+IunYf9\n1xLc3bswg8//zbtURSRwxgbwwJSRI0eyYsWKQ16/7LLLWLZsWYUGq0jbt2+v8H3qUGJw0izBJ1Tm\ngIqfxZaWYu+7C/vmK5i+gzAXXI5xAnqCzhELld9LqMwBmqW8KuUU1YEDhz5XpbS0FNd1A9mNiIgA\nJiwMRlzrf7TDf570P9ph5LV6tINIBShXwflpgb/9+/cfcpoqPz8/oIuMRUTkZ8Zx4NxRULce9vH7\nfn60Q2SU19FEqrVyFZyfFvjbsmULffv2LXvdGEO9evVo165d5aQTEakBjDGY087xP9rh/rv9j3YY\ndzOmtp7zJ3KkylVwflrgr2XLliQmJlZmHhGRGsvpdbL/0Q5/W4A7bzLO+BmYuNBYF0Wkqv1hwVm9\nenXZwzU3b97M5s2bD/u5Xz/GQUREAmc69cC5djru4jn+RztcNwPTWI92EAnUHxacNWvWlBWcX6+D\n80sqOCIiFcO0TsO5/hbcO6b7j+Rcm4lp1tLrWCLVyh8WnIyMjLKf/+w6OCIiUj7m6BY4N2Th3p6J\nu2AqztgpmDYdvI4lUm0c0YILRUVF/O9//zvoHxERqVimcSLOjfMgvgHunTOw767xOpJItRHQOjgb\nNmzgnnvuobCw8JD3HnrooQoLJSIifiY2HueGubh3zcJdeivmojE4vU/1OpZI0Auo4Cxfvpyzzz6b\nPn36EBGSJfCqAAAgAElEQVQRUVmZRETkF0ztujjXzcJdkuW/jXz3LszAc/VoB5HfEdApqj179jBg\nwACVGxGRKmYiI3HG3oTpdhL2iX9iH1qG1SryIr8poILTr18/XnnllcrKIiIiv8OEhWFGXYfpfzr2\npaexK27HlpZ6HUskKAV0iuqzzz7jueee48knn6R+/foHvTdjxowKDSYiIocyjgPnX+Z/tMMT/8R+\nvwfnihsxkZFeRxMJKgEVnH79+mm9GxERjxljMIPO8z/a4V/34C6chnPNzZjadbyOJhI0Aio4Pz2y\nQUREvOecdCq2Tl3cZdm48zNwxk/H1I/3OpZIUAio4Lz88suHfT08PJz4+HhatmxJeHh4hQQTEZE/\nZo4/EadWHdzFt+Bm3Yhz3UxMoyZexxLxXEAFZ/Xq1Xz66afUq1eP+Ph48vPzKSoqokWLFuTm5gJw\nww030KJFi0oJKyIihzJtOuBcPxv3jhn+51eNn45J1t/DUrMFVHCSkpLo2rUrAwcOLHvt+eef57//\n/S8zZ87k8ccf5+9//ztz5syp8KAiIvLbTLOWODdm4S7MxJ0/BefqqZhW7b2OJeKZgG4TX7NmDaee\nevAKmieffDJvvPEGxhiGDBnCN998U6EBRUSkfEzjJP+jHWITcG+fjn3/La8jiXgmoIJTr1493n33\n3YNee++994iJiQFg//79hIUFdFBIREQqkIlLwLlhLiSn4N6Thfv6i15HEvFEQG1k5MiR3HbbbSQn\nJ5ddg7Nt2zYmTJgA+NfJ+fURHhERqVqmTgzOhFm498zF3rcId89uzKlD9WgHqVECKjgdOnRg0aJF\nvP/++xQUFHDcccfRqVMn6tatW/Z+hw4dKiWoiIiUn4mMwrl6KnbFHdjH74U9RXD2CP9CgSI1QMDn\nk+rWrUvv3r0rI4uIiFQgExYOl06A2nWxLz4Bu3fBxVdjdCmB1AAB/b/8wIEDvPDCC3z88cfs3r37\noPf0qAYRkeBjHAeGjfY/2uGpB7Df78a54gavY4lUuoCOVd57773k5OTQtm1bvvjiC7p160ZRURHH\nHntsZeUTEZE/yRiDc/oFmAuvhA/X+28l/373H28oUo0FVHDefvttpkyZwsCBA/H5fAwcOJBJkybx\n0UcfVVY+ERGpIE6fgZjLJ8HWT9l58zisSo6EsIAKzr59+4iP9z/nJCIigr1795KYmMiXX35ZGdlE\nRKSCOV164oydQunXW3Gzp2L37PI6kkilCKjgJCYm8vnnnwOQkpLCI488wmOPPUZcXFylhBMRkYpn\n2nemfkYW7PjGX3J2F3kdSaTCBVRwRowYgfPjLYaXXHIJW7du5d1332X06NGVEk5ERCpH5HHdca6Z\nBv/bjrvgJuyunV5HEqlQAd1FlZqaWvbzUUcdxbRp0yo8kIiIVA3TtiPONdNwF83GXTAVZ+JsTL1Y\nr2OJVIiAF0P47rvv+OqrrygpKTno9Z49e1ZYKBERqRqmTQeccZm4d83EXTDFX3Lqx3sdS+RPC6jg\nrFq1iscee4ykpCQiIiLKXjfGqOCIiFRTplU7nGun494xA3f+Tf6SE5fgdSyRPyWggvPMM8+QlZVF\nUlLSEX1ZXl4eixcvprCwEGMM6enpDBw4sOz9p59+mvvvv59ly5aVPcDzl8aOHUtUVBSO4+Dz+cjK\nyjqiHCIicjDTsi3O+Om4d0z/8UjOHEx8A69jiRyxgApOnTp1aNDgyP8P7/P5GD58OCkpKRQXFzN5\n8mTS0tJISkoiLy+PjRs3kpDw+//VkJmZedjyIyIif45JbYNz3Uzc2zP9Jef6OZj4hl7HEjkiAd9F\ntXTpUj7//HPy8vIO+qc8YmNjSUlJASA6OprExEQKCgoA/yrJF154oZ52KyLiIZPSCue6WfDDHtz5\nU7Dffet1JJEjEtARnNLSUjZu3MiaNWsOee+hhx4K6Itzc3PZunUrqamprFu3jri4OJo1a/aH282a\nNQvHcRgwYADp6ekBfaeIiPwx07wlzoTZuLdN+/l0VcOjvI4lEhBjrbXl/fAVV1zBeeedx4knnnjQ\nRcZA2fo45VFSUkJmZiZDhw6lY8eOzJgxg6lTp1KrVi3Gjh3L3LlzD3saqqCggLi4OIqKipg9ezYj\nR46kbdu2h3wuJyeHnJwcALKysti3b1+5s5VXWFgYpaWlFb5fL2iW4BQqs4TKHFDzZtm/9VN2Zl6L\niYggduYiwpo0raJ05VfTfifVRWXO8uv+8VsCKjiXX345S5cuDajM/FppaSnz5s2jQ4cODB48mG3b\ntjFz5kwiIyMByM/PJzY2lrlz51K/fv3f3M/DDz9MVFQUQ4YM+cPv3L59+xHn/S0JCQnlPjUX7DRL\ncAqVWUJlDqiZs9hvvsS9bRo4PpzrZ2MaH9lNJpWlJv5OqoPKnKVJkybl+lxATeX000/niSeeIIBO\ndBBrLUuWLCExMZHBgwcDkJyczLJly1i8eDGLFy8mPj6eefPmHVJuSkpKKC4uLvt548aNJCcnH1EO\nEREpH5PUDGfiHHAP+K/J2b7N60gi5RLQNTjPPfcchYWFrFq1ijp16hz03j333POH22/evJnVq1eT\nnJzMpEmTABg2bBidOnU67OcLCgpYunQpGRkZFBUVsWDBAgAOHDhAz5496dixYyDxRUTkCJjEZJxJ\nt+BmT8Vd8OM6OYlHex1L5HcFdIrq448//s33DnctTLDQKarfp1mCU6jMEipzgGax336Du2AqHCjF\nmTgLk9S8ktKVX03/nQSrYDhFFdARnGAuMSIiUrlM4yT/kZwFN+FmT8W5bhYmOcXrWCKHdeRXC4uI\nSI1jGjXBmXQLRETiZk/FfvW515FEDksFR0REAmIaHoVz/S0QXQv3tqnYrZ95HUnkECo4IiISMNOg\nsf9ITq06uAunYT/f5HUkkYOo4IiIyBEx8Q39R3LqxODenond8onXkUTKBHSR8Z49e3jqqaf46quv\nKCkpOei9GTNmVGgwEREJfia+Ac71P95Cfvt0nGszMS11Q4p4L6CCc8cdd1BaWsoJJ5xQ7qWSRUQk\ntJm4BJxJc/wl547pONfcjGnVzutYUsMFVHA+/fRTli1bRnh4eGXlERGRasjUj//5SM6d03GunoZp\n08HrWFKDBXQNTnJyMvn5+ZWVRUREqjFTLxbn+jnQ4Cjcu2ZhP37f60hSgwV0BKddu3bccsst9OnT\n55BnRfXr169Cg4mISPVjYurjTJyNe9s03Ltm44ydgml3vNexpAYKqOBs2rSJ+Ph4Pvzww0PeU8ER\nEREAU7fezyVn8Rycq6Zg2nf2OpbUMAEVnMzMzMrKISIiIcTUifmx5NyMu/gWnDGTMR26eh1LapAj\nXgfHWovrumX/iIiI/JKpXRdnwixo2hz3nizs+295HUlqkICO4BQUFLB8+XI++eQTvv/++4Pee+ih\nhyo0mIiIVH+mdh2c62bi3jEdd+k8nMsnYY7v4XUsqQECOoLz17/+lbCwMG6++WaioqKYN28enTt3\n5vLLL6+sfCIiUs2ZWrVxxs+AZi1x/3or7ro3vI4kNUBABefTTz9lzJgxNGvWDGMMzZo1Y8yYMTzz\nzDOVlU9EREKAia6FM346tGiN/dsC3Ldf8zqShLiACo7jOPh8PgBq167Nrl27iIyMpKCgoFLCiYhI\n6DBRtXDGZULLttjlC3HffMXrSBLCAroGJzU1lffff5+uXbvSoUMHFi5cSEREBC1atKisfCIiEkJM\nVDTOuJtxF83Grrgd13VxTuzvdSwJQQEVnGuuuQZrLQAjRozg6aefpri4mEGDBlVKOBERCT0mMgrn\n6mm4d8/B3nsnrnsAp9fJXseSEBNQwaldu3bZzxEREZx99tkVHkhEREKfiYzEGXsT7j1zsfctwrUu\nTu9TvY4lISSga3D279/Pgw8+yNVXX80ll1wCwAcffMDzzz9fKeFERCR0mYhInKumQPvO2Pvvxn3l\nWa8jSQgJqODce++9fP3114wbNw5jDABNmzblxRdfrJRwIiIS2kx4BM6YDOjQFfvAEtyXnvY6koSI\ngArOO++8w7hx4zjmmGPKCk5cXJzuohIRkSNmwsNxrrwRjuuOXfk33P886XUkCQEBFZywsLBDHsuw\na9cu6tatW6GhRESkZjFh4Tijb4BOPbAPL8d94XGvI0k1F1DB6d69O4sWLSI3NxeAnTt3snz5cnr0\n0LLbIiLy55iwMJzLr8d06YV99B+4zz3qdSSpxgIqOH/5y19o2LAhEydO5IcffmDcuHHExsZy7rnn\nVlY+ERGpQUxYGObSCZiuJ2Efvw/3GT3nUI5MQLeJh4WFMWLECEaMGFF2auqna3FEREQqgvH54NLx\n4DjYJ/+F6x7AnD5M/76RgJSr4OTl5R329fz8/LKfExISKiaRiIjUeMbxwchx4HOwT68E14UzLlTJ\nkXIrV8EZO3bsH37moYd0GFFERCqOcXxw8TXg+LD/fhjcA3DWxSo5Ui7lKjhHH300+/bt46STTqJX\nr17ExcVVdi4RERGM48BFV/lPVz33GBxw4ZwRKjnyh8pVcG699Va2bdvGa6+9xrRp00hKSqJ37950\n69aNiIiIys4oIiI1mHEcuHCMv+S8uMp/uuq8USo58rvKfRdVcnIyw4cPZ/HixQwaNIh3332X0aNH\n88UXX1RmPhEREYwxmGFXYPqfjs15Ervyb2UPfxY5nIDuogL49ttv+fjjj/nss89o3rw5derUKfe2\neXl5LF68mMLCQowxpKenM3DgwLL3n376ae6//36WLVtGTEzMIdtv2LCBFStW4Lou/fv358wzzww0\nvoiIVFPGGDj/Mv+RnP88Ce4B7DU3eR1LglS5Cs6ePXt44403eO211ygpKaFXr17MmDEj4DunfD4f\nw4cPJyUlheLiYiZPnkxaWhpJSUnk5eWxcePG39yn67osX76cqVOnEh8fT0ZGBp07dyYpKSmgDCIi\nUn0ZY+DcUf4Lj194nN0REdizR/pPY4n8QrkKzhVXXEHDhg3p1asXxxxzDOA/kvPtt9+WfaZdu3Z/\nuJ/Y2FhiY2MBiI6OJjExkYKCApKSkrj33nu58MILmT9//mG33bJlC40bN6ZRo0YA9OjRg3Xr1qng\niIjUMMYYOPsS8PkofvYRzA8/wPCxKjlykHIVnPr167Nv3z5eeuklXnrppUPeN8awaNGigL44NzeX\nrVu3kpqayrp164iLi6NZs2a/+fmCggLi4+PL/hwfH89nn3122M/m5OSQk5MDQFZWVqWs0RMWFhYy\na/9oluAUKrOEyhygWYKNvWw8xTH12L1yGZER4cRcleFfJLCaCoXfyU+CYZZyFZzFixdX6JeWlJSQ\nnZ3NiBEj8Pl8rFq1iqlTp1bY/tPT00lPTy/7828tVPhnJCQkVMp+vaBZglOozBIqc4BmCUYJ549i\nz/ffU/L0g+z9oRgzcpx//ZxqKFR+J1C5szRp0qRcnwv4IuM/q7S0lOzsbHr16kW3bt3Ytm0bubm5\nTJo0CfCvjnzjjTcyd+5c6tevX7ZdXFzcQSsn5+fnaz0eERHBGTIM98fHOuC6MGp8tT6SIxWjSguO\ntZYlS5aQmJjI4MGDAf/t58uWLSv7zNixY5k7d+4hd1G1aNGCHTt2kJubS1xcHGvXrmXcuHFVGV9E\nRIKUM/h8XJ8P+/h9YF24dIJKTg1XpQVn8+bNrF69muTk5LIjNsOGDaNTp06H/XxBQQFLly4lIyMD\nn8/HqFGjmDNnDq7r0rdvX5o2bVqV8UVEJIg5p53jP5Lz6D+w7gGcy67HhFX5iQoJEsbWgJWStm/f\nXuH71LnS4KRZgk+ozAGaJRgdbg73P09iH14Ox3XHGT0JExbuUbrAhMrvBILjGhzdUyciIiHFGXAG\n5vzL4P23cJfeii3d73Uk8YAKjoiIhBwnfQjmL1fAhrdx78nC7lfJqWlUcEREJCQ5fQdhLhwDG9fh\n3jMXu3+f15GkCqngiIhIyHL6nIYZPhY+XI+7eA52316vI0kVUcEREZGQ5vQ+BXPJNfDxBn/J2auS\nUxOo4IiISMhzeg7AjBgHn3yAu2gWdm+J15GkkqngiIhIjeD06I8ZNR42/x/uXSo5oU4FR0REagyn\ne1/MpdfBpx/h3jEdW/KD15GkkqjgiIhIjeJ0Owlz+UT4fBPuHTOwxSo5oUgFR0REahynSy+c0ZNg\n66f+Izk/fO91JKlgKjgiIlIjmeNPxBl9A3z5Ge7tmdgf9ngdSSqQCo6IiNRYptMJOFfeCNu+wL3t\nZuz3KjmhQgVHRERqNNOxO86YDPjvl7i3TcN+v9vrSFIBVHBERKTGMx264Fw1BbZvw82eit2zy+tI\n8iep4IiIiACmfWecsTfBjm/8JWd3kdeR5E9QwREREfmRadcJ55pp8L/t/pKzq9DrSHKEVHBERER+\nwbTt6C853+3AXXATdtdOryPJEVDBERER+RXTpgPOuOmQn4s7/yZsYYHXkSRAKjgiIiKHYVq1w7l2\nOuzM8x/J2ZnvdSQJgAqOiIjIbzDHHIszfjoUFuAumIItyPM6kpSTCo6IiMjvMKltca6bAbsK/SUn\n/zuvI0k5qOCIiIj8AdOiNc51M2HP7h9LTq7XkeQPqOCIiIiUg0lphTNhJvywB3f+FOx333odSX6H\nCo6IiEg5mWYtcSbMhuIf/Edycnd4HUl+gwqOiIhIAMzRLXAmzoZ9e/13V+Vu9zqSHIYKjoiISIBM\ncoq/5Ozf5z9d9e1/vY4kv6KCIyIicgRMUnOc6+fAgQP+01U7vvE6kvyCCo6IiMgRMolH+0uOtf6S\ns32b15HkRyo4IiIif4Jpkoxz/S1gjP+anP9+5XUkQQVHRETkTzNHJfmP5Ph8/pLzzVavI9V4Kjgi\nIiIVwDRO8h/JCQvHzZ6K3faF15FqtLCq/LK8vDwWL15MYWEhxhjS09MZOHAgK1euZP369RhjqFev\nHldddRVxcXGHbD927FiioqJwHAefz0dWVlZVxhcREfldplETnEm34GbfhJs9FWfCLMzRLbyOVSNV\nacHx+XwMHz6clJQUiouLmTx5MmlpaQwZMoQLLrgAgGeffZZHH32U0aNHH3YfmZmZxMTEVGVsERGR\ncjMNj8K5/hbc7Km4t03FuW4mpllLr2PVOFV6iio2NpaUlBQAoqOjSUxMpKCggFq1apV9Zu/evRhj\nqjKWiIhIhTINGvuvyYmujXvbzdgvNnsdqcbx7Bqc3Nxctm7dSmpqKgAPPvggY8aM4Y033uD888//\nze1mzZrFjTfeSE5OTlVFFRERCZhJaIQzaS7UqYt7eyb2801eR6pRjLXWVvWXlpSUkJmZydChQ+nW\nrdtB761atYr9+/dz3nnnHbJdQUEBcXFxFBUVMXv2bEaOHEnbtm0P+VxOTk5ZAcrKymLfvn0VPkNY\nWBilpaUVvl8vaJbgFCqzhMocoFmCUXWY40BeLjtvvhq3sID6024jok3aYT9XHWYpr8qcJSIiolyf\nq/KCU1payrx58+jQoQODBw8+5P28vDzmzp1Ldnb27+7n4YcfJioqiiFDhvzhd27fXvHPCUlISCAv\nL6/C9+sFzRKcQmWWUJkDNEswqi5z2J35uNlToTAfZ1wm5phjD/lMdZmlPCpzliZNmpTrc1V6ispa\ny5IlS0hMTDyo3OzY8fPTWNetW3fY8CUlJRQXF5f9vHHjRpKTkys/tIiIyJ9kYuP91+TEJuDeMR27\n+UOvI4W8Kr2LavPmzaxevZrk5GQmTZoEwLBhw3j55ZfZsWMHxhgSEhLK7qAqKChg6dKlZGRkUFRU\nxIIFCwA4cOAAPXv2pGPHjlUZX0RE5IiZ+nE418/x31115wycq6dh2nTwOlbI8uQanKqmU1S/T7ME\np1CZJVTmAM0SjKrjHHZXIe5t0yB3B87VUzFt/f+xXh1n+S017hSViIhITWdi6uNMnA2NmuAumo39\nv/e8jhSSVHBERESqmKlbD2fCbGiciLt4DvbDd72OFHJUcERERDxg6sb4j+Q0Sca9ew57163xOlJI\nUcERERHxiKldF2fCLEhsRuGtGdh313odKWSo4IiIiHjI1K6DM2EW4altcJfeirv2Za8jhQQVHBER\nEY+ZWrWJzbwdWrfHrrgd99VnvY5U7angiIiIBAETFY1zzTRI64L91xLcF1Z5HalaU8EREREJEiY8\nAmdMBqZzT+yjK3CfeoAasFxdpajSlYxFRETk95mwMLh8IkRGYp9eCSXFcO4ojDFeR6tWVHBERESC\njHF8cPE1EBmN/c+TsHcvXHglxtGJl/JSwREREQlCxnHggsshMgr73KOwrwRGXIvx+byOVi2o4IiI\niAQpYwxm6MW4kVHYJ/6J3bcX57LrMeHhXkcLejrWJSIiEuScQedhzr8M3nsT9+452L17vY4U9FRw\nREREqgEnfQjm4qvho/dx75yBLfnB60hBTQVHRESkmnB6nYy5dAJs+Rj3tpux3+/2OlLQUsERERGp\nRpxuJ+GMmQxff4G74Cbsrp1eRwpKKjgiIiLVjOnY3b/qce4O3PlTsAV5XkcKOio4IiIi1ZBpexzO\n+BlQWIB762Tsd996HSmoqOCIiIhUU6ZlW5yJs6Gk2F9ydnztdaSgoYIjIiJSjZlmLXEm3QKui3tr\nBnbbF15HCgoqOCIiItWcSTwa54YsiIjAzb4J+/kmryN5TgVHREQkBJhGTfwlp04M7sKbsZs2eh3J\nUyo4IiIiIcLEN8SZNBfiGuDeORP74XqvI3lGBUdERCSEmPpx/pJzVFPcxbdg313rdSRPqOCIiIiE\nGFM3xn93VbNU3KW34q592etIVU4FR0REJASZWrVxrpsJrdtjV9yO++qzXkeqUio4IiIiIcpERvlX\nPO7QFfuvJbgvPO51pCqjgiMiIhLCTHgEzpWTMV16YR/9B+6TD2Ct9TpWpQvzOoCIiIhULhMWBpdN\ngIgI7DMrYW8xnDsKY4zX0SqNCo6IiEgNYBwfXHwNREZj//Mk7N0LF16JcULzZI4KjoiISA1hHAcu\nuBwio7DPPQr7SmDEtRifz+toFU4FR0REpAYxxmCGXowbGYV94p/YvSU4l0/ChId7Ha1CVWnBycvL\nY/HixRQWFmKMIT09nYEDB7Jy5UrWr1+PMYZ69epx1VVXERcXd8j2GzZsYMWKFbiuS//+/TnzzDOr\nMr6IiEjIcAadhxsVjV35N9zFs3HGTMFERnodq8JUacHx+XwMHz6clJQUiouLmTx5MmlpaQwZMoQL\nLrgAgGeffZZHH32U0aNHH7St67osX76cqVOnEh8fT0ZGBp07dyYpKakqRxAREQkZTv/T/Udy7luE\ne+d0nGumYaJqeR2rQlTplUWxsbGkpKQAEB0dTWJiIgUFBdSq9fP/mHv37j3sVd1btmyhcePGNGrU\niLCwMHr06MG6deuqLLuIiEgocnoOwFw2EbZ8gnvbzdjvd3sdqUJ4dul0bm4uW7duJTU1FYAHH3yQ\nMWPG8MYbb3D++ecf8vmCggLi4+PL/hwfH09BQUGV5RUREQlVTtfeOGMmw9df4C64Cbtrp9eR/jRj\nPVjtp6SkhMzMTIYOHUq3bt0Oem/VqlXs37+f884776DX33rrLTZs2MCVV14JwOrVq/nss8+49NJL\nD9l/Tk4OOTk5AGRlZbFv374KnyEsLIzS0tIK368XNEtwCpVZQmUO0CzBKFTmgOCYZe+GdyjMmowv\nviGxM+7El9DwiPZTmbNERESUL0OlfPvvKC0tJTs7m169eh1SbgB69erF3LlzDyk4cXFx5Ofnl/05\nPz//sBciA6Snp5Oenl7257y8vApK/7OEhIRK2a8XNEtwCpVZQmUO0CzBKFTmgCCZJSkF59rpHLhr\nJnmTR+NMmIVpeFTAu6nMWZo0aVKuz1XpKSprLUuWLCExMZHBgweXvb5jx46yn9etW3fY8C1atGDH\njh3k5uZSWlrK2rVr6dy5c5XkFhERqSlMy7b+J5GXFOPOz8Du+NrrSEekSo/gbN68mdWrV5OcnMyk\nSZMAGDZsGC+//DI7duzAGENCQkLZHVQFBQUsXbqUjIwMfD4fo0aNYs6cObiuS9++fWnatGlVxhcR\nEakRzNGpOJNuwb1tGu6tGTjXzcQkp3gdKyCeXINT1bZv317h+wyKQ4kVRLMEp1CZJVTmAM0SjEJl\nDgjOWez/tuPeNhVKinHGZWJatC7XdjXuFJWIiIhUH6ZRE5wbsqBODO7Cm7GbNnodqdxUcEREROQ3\nmfiGOJPmQnxD3DtnYj9c73WkclHBERERkd9l6sfhXH8LHNUUd/Et2HfXeB3pD6ngiIiIyB8ydWP8\nd1c1b4m7dD7u2pe9jvS7VHBERESkXEyt2jjjZ0Dr9tgVt+O++qzXkX6TCo6IiIiUm4mMwrlmGnTo\niv3XEtwXHvc60mGp4IiIiEhATHgEzpWTMV16YR/9B+6TDxBsq85U+aMaREREpPozYWFw2QSIiMQ+\nsxJKiuG8URhjvI4GqOCIiIjIETKODy6+GqKisTlPwr4SuPBKr2MBKjgiIiLyJxjHgfMv8x/Jee5R\n2FuCnTTL61i6BkdERET+HGMMztCLMWdehH37NYoWzvD8mhwdwREREZEK4Qw6DzcqmqjEppR6fC2O\nCo6IiIhUGKf/6UQlJLDH4weH6hSViIiIhBwVHBEREQk5KjgiIiISclRwREREJOSo4IiIiEjIUcER\nERGRkKOCIyIiIiFHBUdERERCjgqOiIiIhJygWcl4w4YNrFixAtd16d+/P2eeeeZB71trWbFiBe+/\n/z6RkZFcddVVpKSkeJRWREREgllQHMFxXZfly5czZcoUFi5cyJo1a/jmm28O+sz777/Pt99+y513\n3sn/s3fn4VVUhxvHv2eyAAGys0dQNhUJSwhbyiKYqsUtVVSwqIgtrkXR2orKJtWiqFFUFBUUa2sR\ntXFffhEbVECBAKKoIAjIVggJYQ1Z7vn9cTU1BnAguZmbm/fzPDzm3jvMvMdoeJk5M2f06NE888wz\nHkEmpicAACAASURBVKUVERGRYBcUBefbb7+lefPmNGvWjPDwcNLS0liyZEmFbZYuXcqAAQMwxtCx\nY0f2799PQUGBR4lFREQkmAVFwcnPzychIaH8dUJCAvn5+ZW2SUxMPOo2IiIiIhBEc3CqU3Z2NtnZ\n2QBMnTqVli1bBuQ4gdqvFzSW4BQqYwmVcYDGEoxCZRygsVSnoCg48fHx7Nq1q/z1rl27iI+Pr7RN\n3k+WXj/cNj9KT08nPT29/PXWrVurOTEkJiZWyFObaSzBKVTGEirjAI0lGIXKOEBjccttcQqKS1Tt\n2rVj27Zt7Nixg9LSUhYuXEhqamqFbVJTU1mwYAHWWtasWUNUVBRxcXEeJRYREZFgFhRncMLCwhg1\nahT33HMPPp+PQYMGccIJJ/D+++8DcOaZZ9K9e3dyc3MZM2YMkZGRXH/99R6nFhERkWAVFAUHICUl\nhZSUlArvnXnmmeVfG2P4/e9/X9OxREREpBYKiktUIiIiItVJBUdERERCjgqOiIiIhBwVHBEREQk5\nKjgiIiISclRwREREJOSo4IiIiEjIUcERERGRkKOCIyIBYw8donTjOq9jiEgdpIIjIgFhv1uLb8rN\n7Lr5cnwL3vM6jojUMUGzVIOIhAZbVoZ9ex72zX9BbDwRp3Wn5IUZ+MIjcNIGex1PROoIFRwRqTb2\nv1vxzXoIvluD6XM6Zvho4pq1YMfkm7HPTccXEYHTs7/XMUWkDlDBEZEqs9ZiF7yHfWkWhEdgRv8Z\np2c/AEy9ejg33InvkUnYZx7EhkdguvfxOLGIhDrNwRGRKrGFBfgenYJ9YQa0PxVn0qPl5eZHpl59\nnD9OgDbt8c28H7tqqUdpRaSuUMERkeNmly/GN+mP8PXnmGGjcW6ahIlLOOy2pkEUzs2ToFUbfDP+\nhv1qZc2GFZE6RQVHRI6ZLTqA77lH8M24F+Kb4IzPxDnjXIxz9B8pJqoRztjJ0Kwlvsf+il3zZQ0l\nFpG6RgVHRI6JXbsa3+SbsAs/xAy5BGfc/ZgWJ7j+/aZRNM4td0N8E3zT78au+zqAaUWkrlLBERFX\nbGkJvlefxzftDjAG589/w/ntCEx4xDHvy0TH4dwyBaJj8D0yGauHAYpINVPBEZFfZLdswnfvn7Dv\nvIzpl44z4WFM+1OrtE8Tl4Bz6z0Q1RBf5gTs5g3VE1ZEBBUcETkK6/Phy34d31/Hwu58nBvuxLni\nRkz9qGrZv0lo4j+TExGJ76Hx2G2bq2W/IiIqOCJyWDY/D9/DE7Fzn4FO3XAmTcd0613txzFNW+Dc\nOgWMwffgXdgdW6v9GCJS96jgiEglvs8W4Jv8R1j/DeaKG3FuvAsTHRew45nmSf4zOWUl+B4cj921\nI2DHEpG6QQVHRMrZ/fvwPf0A9ukHoHkSzoSHcfqfiTEm4Mc2rdrgjL0big74z+QU7Ar4MUUkdKng\niAgA9quV+CaPwS77BJMxAufPUzFNW9ZoBtO6Hc7Nk2Fvob/kFBbU6PFFJHSo4IjUcbakGN/cWfge\nGg/16uHcfj/OOZdgwsI8yWNO6ogzZiIU5PknHu/d40kOEandVHBE6jC7aT2+KWOx2a9hBp2Dc9fD\nmBM7eB0L06ETzo13wc7t+DLHY/fv8zqSiNQyKjgidZD1leF75xV89/4JDuzHuWkSzmXXYOrV8zpa\nOXNqV5zrx8G27/0rkR884HUkEalFVHBE6hi7czu+aXdiX52D6dbbf/t35xSvYx2W6dwD55q/wKZ1\n+KZPxhYd9DqSiNQSKjgidYS1Ft8n2fgm3wRbNmCuHou55s+YRtFeRzsq0603zu9vhXXf+BfoLD7k\ndSQRqQXCvQ4gIoFn9xbi+/vjsHwxnJyMc9XNmIQmXsdyzaT2w5SWYGc/jG/GvTg33IWJOPY1sESk\n7lDBEQlxdtVSfM9NhwP7MEOvwvz6AoxT+07eOn0G4SspwT7/GL6Z9+FcezsmXD/CROTw9NNBJETZ\nQ0XYebOxOe9CqzY4Yydjkk7yOlaVOP3PxFdaiv3nk9hnHoQ//Mmz29lFJLip4IiEILv+G3yzMmHn\nNsyZv8VkjAiZSzrOoCH4Soqx82ZDeDiMuhnjqOSISEUqOCIhxJaWYt9+CfvWSxCbgHPrXzEnJ3sd\nq9o5Z2b4S07WCxARCZffUCsvu4lI4KjgiIQIu30LvlkPwYa1mD6DMMNHY6Iaeh0rYJxzLsFXWoJ9\ncy6ER8Bl19TImlkiUjuo4IjUctZabM47/ks2EfVwrvkzJrWf17FqhDn/Miguxr7/b4iIgItHqeSI\nCKCCI1Kr2d35+OY8Cl8sg07dca4ag4lN8DpWjTHGwNCRUFKM/b/XIKIe5rcjvI4lIkFABUeklrK5\nC/3Ptjl0CHPZNZjTh9TJsxfGGBj2Bygtwb79Er6ICJxzL/U6loh4TAVHpJaxBw9g//U0duEH0KY9\nztW3YFokeR3LU8ZxYMT1UFKCfe0f+CIicc76rdexRMRDKjgitYhd8yW+2ZmQn4c591LMOZfqYXc/\nMI4DI8f4z+S8/Kz/TM7gc72OJSIe0U9GkVrAlpRgX/8n9r1XIbEZzl+mYtqd4nWsoGPCwuDqW7Cl\nJdgXn8IXHoEz4CyvY4mIB1RwRIKc3bIR3zMPwebvMAPOwlw8ClO/gdexgpYJD8cZ/Wd8M+7FvjDD\nf7mq7yCvY4lIDfO84Ozbt4/MzEx27txJkyZNGDt2LI0aNaq03YwZM8jNzSUmJoYHH3zQg6QiNcv6\nfPj+7zXsq89DgyicG+/CdO3ldaxawURE4Fx3u3/18Wcf8Z/J6Vk3bp0XET/PH/2ZlZVFcnIy06dP\nJzk5maysrMNud/rpp3PHHXfUcDoRb9j8neyedBP2pVlwWnecSY+q3BwjE1kP54Y7of0p2GcewC5f\n7HUkEalBnhecJUuWMHDgQAAGDhzIkiVLDrtdp06dDntmRySU2NISfNmv4Zs0hpK1qzFX3Ihzw52Y\n6Fivo9VKpl59nD9OgDbt8c28H7tqqdeRRKSGeF5wCgsLiYuLAyA2NpbCwkKPE4nUPGst9vMl+CaN\nwc6dBSd1JP6hOTj9z6yTz7apTqZBFM7Nk6BVG3wz/ob9aqXXkUSkBtTIHJwpU6awe/fuSu8PGzas\nwmtjTLX8MM/OziY7OxuAqVOnkpiYWOV9/lx4eHhA9usFjcVbpZvWs/fZ6RSv+Iywlq1pfOc0Inuk\nERERQWJpqdfxqiw4vieJ+KY8RsGEGyl9/B7iJjxEZKdux7yX4BhL9QiVsYTKOEBjqfYMNXGQ8ePH\nH/GzmJgYCgoKiIuLo6CggOjo6CofLz09nfT09PLXeXl5Vd7nzyUmJgZkv17QWLxh9+7x3/q94F2o\n3wBz6e+xpw9hb3g47NpVq8ZyNME0DjtmAky7k4K7b8UZO/mYb7UPprFUVaiMJVTGARqLWy1btnS1\nneeXqFJTU8nJyQEgJyeHnj17epxIJLDK59ncdQ12wbuYgWfj3DMTJ/18PbQvwEx0HM4tUyA6Bt8j\nk7Eb13kdSUQCxPOCk5GRweeff86YMWNYtWoVGRkZAOTn5/O3v/2tfLuHH36Yu+66i61bt3Lttdcy\nf/58ryKLHJdK82xO7IgzYTrOZddiGlX9zKW4Y+IScG69B6Ia4sucgN28wetIIhIAxlprvQ4RaFu3\nbq32fepUYnAK1rHYLZvwvTQLVi+HZq1wLhkFyalHnXMWrGM5VsE6DrtjG75pd0BZKc5tf3O1nlew\njuV4hMpYQmUcoLG4VWsuUYmEMrt3D75/PInv7jGwYQ3m0t/7n2nTpafujvKYadoC59YpYAy+B+/C\n7qj+vwiJiHdUcEQCQPNsagfTPMk/J6esBN+D47G7dngdSUSqiQqOSDWy1mJXap5NbWJatcEZezcU\nHfCfySnY5XUkEakGKjgi1cRu2YTv4Yn4HpsCBpwxE3BunoRp1drraPILTOt2ODdPhr2F/pJTWOB1\nJBGpIhUckSoqn2czeQxsWOufZzPxUcwvTCKW4GJO6ogzZiIU5OF7aDx27x6vI4lIFVSp4BxpYUyR\nusCWluD7v9fw3fnDPJvTf6N5NrWc6dAJ58a7YOd2fJnjsfv3eR1JRI5TlQrOV199VV05RGqNCvNs\nXpoFbTviTJyOc9k1mmcTAsypXXGuHwfbvsf3yCTswQNeRxKR41ClgjNu3LjqyiFSKxx2ns1NkzAt\nNc8mlJjOPXCu+QtsWodv+mRs0UGvI4nIMXJ9Ht3n87FmzZrydaM6duyI42gKj9QN5etG5bwLDfzr\nRpnTh+hSVAgz3Xrj/P5WfE89gO+xv+KMmeB1JBE5Bq5+Om/cuJFp06ZRUlJCfHw8+fn5RERE8Kc/\n/YkTTzwxwBFFvGNLS7Afvo19419w6CDm9N9gzh+uS1F1hEnthyktwc5+GN+Me7ETM72OJCIuuSo4\nTzzxBGeddRbnnnsuxhistbz11ls88cQT3HfffYHOKFLjrLXw+VJ882bDf7fAad1xLrlal6LqIKfP\nIHwlJdjnH2PPk/fD8Gu9jiQiLrgqONu2beOcc84pv+XVGMOQIUOYN29eQMOJeMFu2fjDulEroHkr\n/6WJzj10y3cd5vQ/E9/36yla8H84GVdgGkR5HUlEfoGrSTTdu3dn6dKlFd5bunQp3bt3D0goES/4\nn2fzBL7JN+l5NlKJ6TUASkuwny/xOoqIuODqDI7P5+Phhx+mbdu2JCQksGvXLtavX09qaiqPPfZY\n+XY33nhjwIKKBIrm2YgrbU/BiUvAl7sIeg/0Oo2I/AJXBeeEE07ghBNOKH+dlJRE165dAxZKpCb4\n59kswffSbNixVfNs5KiM4xDZewAH57+NPXQIU6+e15FE5ChcFZyLL7440DlEapTm2cjxqNd3EAff\n/Td8uQxS0ryOIyJH4fohHqWlpWzdupU9eyquz9K5c+dqDyUSKP7n2fwDm/OenmcjxyzytG7QqDE2\ndxFGBUckqLn6qf7111/z0EMPUVJSwsGDB2nQoAFFRUUkJCRUmIMjEqw0z0aqgwkLx3Ttjc1diC0p\nwUREeB1JRI7AVcGZM2cO559/Pueeey5XXXUVzz77LC+//DKRkZGBzidSJZpnI9XNpPTFfpINX6+E\n5FSv44jIEbi6TXzr1q0MGTKkwnsZGRm89dZbAQklUh3slo0/rBv1V3CM1o2S6nFqN2gQhc1d5HUS\nETkKV2dwoqKiOHjwIA0bNiQ2NpbNmzfTqFEjioqKAp1P5JhVnGcThRn2B8zA32iejVQLExGBSe6J\nXbEYO+J6TFiY15FE5DBc/cTv3bs3y5cvp1+/fgwaNIjJkycTFhZGnz59Ap1PxDVbWsL+1/+F71+z\nNM9GAsqk9MV+lgNrvoBT9cgMkWDkquCMHDmy/Ovzzz+fjh07cvDgQT0LR4KG3bgO36yH2Lfte82z\nkcDrnAKRkf67qVRwRILScZ2zP+WUU6o7h8hxsb4y7HtZ2Nf+AY2jib1zGntPPNnrWBLiTL360LkH\ndvli7PDRGMfVdEYRqUH6v1JqLbtrJ74Hx2NfnQNde+FMnE691F95HUvqCJOSBoX5sP4br6OIyGFo\n1qXUSr7PFmBfeAJ8PszImzBpg/UUYqlRJjkVGxaOzV2IaX+q13FE5GdUcKRWsQf2Y1+ciV38H2h7\nMs7Vt2CatvA6ltRBJqohdOqGzV2EvXiUCrZIkFHBkVrDrl2Nb9ZDUJCHOW845pxLdIuueMqk9MWu\nWgqb1kObdl7HEZGfqNIcnL/97W/VlUPkiGxpKb5//x3ftDvAcXD+PBXn/OEqN+I507U3OA42d6HX\nUUTkZ6p0Bkd3U0mg2e1b/GdtNqzF/OoM/0P76kd5HUsEANM4Gjp29q9NlTFCl6lEgkiVCs5vf/vb\n6sohUoG1FvvR+9i5z0B4BM61t2N6aPVmCT4mJQ37zydh2/egZy+JBA1Xl6juv/9+Fi1aRHFxcaDz\niGD3FuKbcS/2749Du1NwJj2qciNBy3TvA8boMpVIkHF1BqdTp068/vrrPPnkk/Ts2ZN+/frRpUsX\nHD3cSqqZ/WIZvuemw/69mItHYdLP10PUJKiZ2HhoezJ22SI4d5jXcUTkB64Kzrnnnsu5557Ltm3b\n+Pjjj5kzZw779u2jb9++jBo1KtAZpQ6wxYewr8zBzn8TWrb2r/p9wklexxJxxaSkYefNxu7YpscW\niASJY/qrcYsWLbj44ou56aabaNOmDe+9916gckkdYr//Dt89t2Lnv4k54zycux5SuZFaxaT0BcAu\nX+RxEhH5ketJxtu3b+eTTz7hk08+Yc+ePfTp04ehQ4cGMpuEOOvzYbNfw/7779Cwsf+sTecUr2OJ\nHDOT2Axat8MuWwhnXeh1HBHBZcEZN24cW7duJTU1lcsvv5wuXboQpmeQSBXY/Dx8zz0CX62Ebn1w\nrrjRf8utSC1lUvpis17A5udh4hO9jiNS57kqOOeddx6pqalERkYGOo/UAXbZJ/iefxxKSzBX3Ijp\n92s9P0RqPdMjzV9wli/GnHGu13FE6jxXBSctLY29e/eyePFiCgoKuOCCC8jPz8daS0JCQqAzSoiw\nRQewLz6NXfgBnNgB5/e3Ypq19DqWSLUwzZOgZWv/7eIqOCKeczXJePXq1dx888189NFHvPLKK4B/\nTs7TTz8d0HASOuy6r/HdfTN20YeYcy7B+ct9KjcSckxKX1i7Grtnt9dRROo8VwXnueee4+abb+bO\nO+8sn3vTvn171q1bF9BwUvvZsjJ8r/8T3/23g8+Hc9u9OBkjMOFa51VCj0lJA+vDrvjU6ygidZ6r\nP2V27txJcnJyxd8YHk5ZWVlAQklosDu24nvmIfhuDabPIMzw0Ziohl7HEgmcpBOhSXP/ZaoBZ3md\nRqROc1VwkpKSWLFiBd26dSt/b9WqVbRuXfV1V/bt20dmZiY7d+6kSZMmjB07lkaNGlXYJi8vj8cf\nf5zdu3djjCE9PZ0hQ4ZU+dgSGNZa7CfZ2H89DWFhmNG34fTs73UskYAzxvjvpsp+Hbt/H6Zho1/+\nTSISEK4KzuWXX859991H9+7dKS4u5qmnnmLZsmXcdtttVQ6QlZVFcnIyGRkZZGVlkZWVxYgRIyps\nExYWxuWXX07btm05ePAgt99+O126dCEpKanKx5fqZfftwff3xyF3EZycjDPqZkx8E69jidQYk5KG\nfe/f2JWfYdIGex1HpM5yNQenY8eOTJs2jRNOOIFBgwbRtGlT7r33Xtq3b1/lAEuWLGHgwIEADBw4\nkCVLllTaJi4ujrZt2wLQoEEDWrVqRX5+fpWPLdXLrl6Bb/IYWLkEM3Qkzi1TVG6k7jmxA8Ql6qnG\nIh77xTM4Pp+Pu+++mzvvvJMLLrig2gMUFhYSFxcHQGxsLIWFhUfdfseOHXz33XdHLVfZ2dlkZ2cD\nMHXqVBITq/+hW+Hh4QHZrxeqOhZbfIh9LzzJgTfmEpZ0IjHjHySi7cnVmNA9fV+CT6iMA9yPZU/a\nIA7+32vEN4zCaRBVA8mOXah8X0JlHKCxVHuGX9rAcRx27NiBtfa4DzJlyhR276582+SwYRVX3jXG\nHPWBb0VFRTz44IOMHDmSqKgj/9BIT08nPT29/HVeXt5xpD66xMTEgOzXC1UZi92yEd/TD8CWjZhB\nQ7AXXUVhvXrg0b8bfV+CT6iMA9yPxZ7aHd6aR95/3sfp2a8Gkh27UPm+hMo4QGNxq2VLd48YcTUH\nZ+jQoTz99NNccskllR7s5zi/fJVr/PjxR/wsJiaGgoIC4uLiKCgoIDr68I/rLy0t5cEHH6R///70\n7t3bTWwJIOvzYee/iX1lDjSIwhkzAZOc6nUskeDQ4VRoHAO5CyFIC45IqHNVcGbOnAnAggULKn02\nd+7cKgVITU0lJyeHjIwMcnJy6NmzZ6VtrLU8+eSTtGrVinPP1RNCvWZ35+N79hFYvRy69MS58o+Y\n6FivY4kEDeOEYbr3wX6agy0pxkRomRuRmuaq4Dz22GMBC5CRkUFmZibz588vv00cID8/n5kzZzJu\n3Di++eYbFixYQOvWrcvv3Bo+fDgpKVp5uqbZ5YvxPf8oFB/C/O46zMCztY6UyGGY7n2xC96DL5dD\nN511FqlprgpOkyb+O2Gstezdu5fGjRtX2x9qjRs3ZsKECZXej4+PZ9y4cQCccsopvPTSS9VyPDk+\ntugg9qVZ2I/eh9bt/OtItdBt+iJHdEoyRDXE5i7EqOCI1DhXBWf//v3Mnj2bRYsWUVZWRnh4OH36\n9OGqq66q9FA+CT32uzX4nnkQdm7H/GYo5vzhmPAIr2OJBDUTHoHp2gu78jNsaamWJxGpYa6egzNj\nxgyKi4u5//77ef7557nvvvsoKSlhxowZgc4nHrJlZfje/Be+qX+G0lKcP92Dc+EVKjciLpmUNDiw\nH75Z5XUUkTrH1V8pvvjiC55++mkiI/0T5ZKSkrjhhhu45pprAhpOvGN3bsc3OxO+/QrTayDmd9dg\nonS2TuSYdOoG9er7L1Od1t3rNCJ1iqszOK1atWLHjh0V3svLy3N9L7rUHtZafAvn47v7Jv+zba6+\nBecPt6rciBwHE1kPk5yKXb4Y69PixCI1ydUZnM6dO3PPPffQv3//8of3fPTRRwwYMID58+eXbzd4\nsNZdqc3s/n3YF2Zgl34MHTrhjBqLSWzmdSyR2i0lDZZ+DN9+BR07e51GpM5wVXDWrl1L8+bNWbt2\nLWvXrgWgefPmrFmzhjVr1pRvp4JTe9mvP8c3+2HYU4D57eWYsy/EOGFexxKp9UxyCjY8Apu7CKOC\nI1JjXBWciRMnBjqHeMSWlLB3zuP4XvsnNG2Jc/v9mBM7eB1LJGSY+lFwWnds7iLsJVdjXDz9XUSq\nTvct1nF21kMcWPYJZsDZmEtGYerV9zqSSMgxKWnYlZ/Bxm/hpI5exxGpE1Rw6jhz9oVEn3k++9qe\n6nUUkZBluvbChoVhly3EqOCI1AidK63jzIkdqN+rv9cxREKaadgITu6CzV2ItdbrOCJ1ggqOiEgN\nMD36ws7tsHmD11FE6gRXBWfz5s3s3r0bgKKiIl566SXmzZvHoUOHAhpORCRUmG59wBhs7iKvo4jU\nCa4KziOPPMKBAwcAeP755/nqq69Yu3YtTz31VEDDiYiEChMdCx06YXMXeh1FpE5wVXB27NhBy5Yt\nsdby2WefMXbsWG655RZWrlwZ6HwiIiHDpKTB1k3Y7Zu9jiIS8lwVnMjISA4ePMi3335LYmIi0dHR\nREREUFJSEuh8IiIhw3TvC6DLVCI1wNVt4r/61a+4++67OXjwIGeffTYA3333HU2bNg1oOBGRUGLi\nE+Gkjv6CM+Rir+OIhDRXBWfkyJGsXLmSsLAwOnf2P2rcGMOVV14Z0HAiIqHGpPTFvjIHm/dfrfUm\nEkCuLlF99tlnnHbaaeXlBqBdu3YVXouIyC8zKWmALlOJBJqrgjNv3jz+8Ic/8OSTT/LFF18EOpOI\nSMgyTVtA0knY5So4IoHk6hLVtGnT2Lx5Mx9//DEzZ86kpKSEtLQ0+vXrR9u2bQOdUUQkpJiUvtg3\nXsTuzsfExnsdRyQkuX6ScVJSEsOGDePRRx/llltuYdOmTYwbNy6Q2UREQpJJSQNrscsXex1FJGQd\n02KbeXl5LFy4kI8//pidO3cyaNCgQOUSEQldLU+A5q38l6kGDfE6jUhIclVw3nvvPT7++GM2btxI\n9+7dGTp0KCkpKYSHazFyEZFjZYzBpKRh330Fu28PplG015FEQo6rhpKbm8uvf/1revXqRf369QOd\nSUQk5JmUvti352FXfIrp92uv44iEHFcFR3NtRESqWet2kNDUf7u4Co5ItXM9yVhERKqP/zJVX/hq\nBfbAfq/jiIQcFRwREY+YlL5QWopdtdTrKCIhRwVHRMQrbU+BmHhs7kKvk4iEHBUcERGPGMfBdO8D\nXyzDHjrkdRyRkOJqkvGOHTt48cUX2bBhA0VFRRU+e+KJJwISTESkLjApfbH/eRu+XAY/rFMlIlXn\nquA88sgjNGvWjCuuuIJ69eoFOpOISN3RsTM0aoxdtqh8IU4RqTpXBWfz5s1MmTIFx9EVLRGR6mTC\nwjBde2NzF2JLSjAREV5HEgkJrhrLqaeeyoYNGwIcRUSkbjI90uDgAfh6pddRREKGqzM4TZo04Z57\n7qFXr17ExsZW+OzSSy8NSDARkTrjlK7QIAq7bCEmOdXrNCIhwVXBOXToED169KCsrIxdu3YFOpOI\nSJ1iIiIwyT2xKz/FlpVhwsK8jiRS67kqONdff32gc4iI1GmmR1/sZzmw5gs4tavXcURqvSMWnB07\ndtC0aVMA/vvf/x5xB82aNav+VCIidc1pPSAyEpu7CKOCI1JlRyw4f/rTn3j++ecBGDNmzBF3MHfu\n3OpPJSJSx5h69aBzD+zyxdjhozG6a1WkSo5YcH4sN6ASIyJSE0xKmn918fVfQ/tOXscRqdX0VwQR\nkSBhuvSE8HB/yRGRKnE1ybisrIz33nuP1atXs3fv3gqfTZ48OSDBRETqGtMgCk7ths1dhL14FMYY\nryOJ1FquCs6cOXP44osvSE9P58UXX2T48OG8//77pKVV/bHi+/btIzMzk507d9KkSRPGjh1Lo0aN\nKmxTXFzMxIkTKS0tpaysjD59+nDJJZdU+dgiIsHGpPTFrloKm9ZBm/ZexxGptVxdovr000+54447\nGDJkCGFhYQwZMoTbbruNL7/8ssoBsrKySE5OZvr06SQnJ5OVlVVpm4iICCZOnMi0adO4//77WbFi\nBWvWrKnysUVEgo3p1hscB7tsoddRRGo1VwWnuLiYhIQEACIjIzl06BCtWrWqluUblixZwsCBAwEY\nOHAgS5YsqbSNMYb69esD/stlZWVlOnUrIiHJNIqGk5P9l6ms9TqOSK3l6hJVq1atWLduHe3bt6dt\n27bMmzePBg0aEB8fX+UAhYWFxMXFARAbG0thYeFht/P5fPzlL39h+/btnHXWWXTo0KHKxxYRC42k\nMgAAIABJREFUCUame1/sP5+Erd9Dq9ZexxGplVwVnJEjR5avJH7llVfyzDPPcPDgQUaPHu3qIFOm\nTGH37t2V3h82bFiF18aYI56ZcRyHadOmsX//fh544AE2bdpE69aH/x8/Ozub7OxsAKZOnUpiYqKr\nnMciPDw8IPv1gsYSnEJlLKEyDqi5sZSdMYS8F2fS4OsVNOqaEpBjhMr3JVTGARpLtWdws1H79v+b\n6NaiRQvGjx9/TAc52vYxMTEUFBQQFxdHQUEB0dHRR91Xw4YNOe2001ixYsURC056ejrp6enlr/Py\n8o4prxuJiYkB2a8XNJbgFCpjCZVxQA2Ppd0p7P/4A4rOOD8guw+V70uojAM0FrdatmzpajtXBeeL\nL744/G8ODychIYEmTZq4T/Yzqamp5OTkkJGRQU5ODj179qy0zZ49ewgLC6Nhw4YUFxfz+eefc8EF\nFxz3MUVEgp3p3hc7bzZ2xzZM0xZexxGpdVwVnCeeeIKCggIAGjduXP4snJiYGHbv3k3r1q25+eab\nadHi2P8nzMjIIDMzk/nz55ffJg6Qn5/PzJkzGTduHAUFBTz++OP4fD6stfTt25cePXoc87FERGoL\nk/JDwcldiDn7Iq/jiNQ6rgrO4MGDOXDgAJdeeimRkZEUFxfz0ksvERUVxZAhQ3j++ed55plnjvnS\nFfgL04QJEyq9Hx8fz7hx4wBo06YN999//zHvW0SktjKJzaBNe/9TjVVwRI6Zq9vE3377bS677DIi\nIyMB/63iw4YN46233qJ+/fpcccUVrF+/PqBBRUTqGpPSF75bg83f6XUUkVrHVcGpX78+69atq/De\n+vXrqVevnn8nWvVWRKTamZS+ANjliz1OIlL7uLpEdckll/DXv/6V1NRUEhIS2LVrF8uWLWPUqFEA\nrFq1it69ewc0qIhIXWOaJ0HL1tjchXDGeV7HEalVXBWcgQMH0q5dOxYvXkxBQQEtW7bkwgsvJCkp\nCYAePXpo0q+ISACYlDTsW3Oxewow0XFexxGpNVwVHICkpCSGDh0ayCwiIvIzJqUv9s1/YVd8ihlw\nttdxRGoNTZ4REQlmSSdCk+bYZYu8TiJSq6jgiIgEMWMMJiUNvvkcu3+f13FEag0VHBGRIGd6pEFZ\nGXblZ15HEak1jqng5OXlsWbNmkBlERGRw2nTHuIS/XdTiYgrriYZ5+Xl8cgjj7BhwwYA/v73v7N4\n8WJWrFjBtddeG8h8IiJ1nnEc/2TjnHexRQcw9aO8jiQS9FydwXnqqafo3r07c+bMITzc34m6dOnC\n559/HtBwIiLiZ1L6QmkJdlWu11FEagVXBefbb78lIyOjwhOLo6KiOHDgQMCCiYjIT7Q/FRrHgC5T\nibjiquDExMSwffv2Cu9t3ryZxMTEgIQSEZGKjBOG6d4Hu2optviQ13FEgp6rgnPeeedx33338eGH\nH+Lz+fj444/JzMzkggsuCHQ+ERH5gUlJg0NFsHq511FEgp6rScaDBw+mcePGZGdnk5CQQE5ODpde\neim9evUKdD4REfnRyckQ1RCbuwjTrY/XaUSCmuulGnr27EnPnj0DmUVERI7ChIdjuvbCrvwMW1qC\nCY/wOpJI0DpiwZk/f76rHQwePLjawoiIyNGZlDTsog/h61XQOcXrOCJB64gF56OPPir/2lrLN998\nQ2xsLAkJCezatYvdu3dzyimnqOCIiNSk07pDvfrY5YswKjgiR3TEgjNx4sTyr2fPnk3Pnj0555xz\nyt97++23K91ZJSIigWUiIjHJqdjli7G/uxbjhHkdSSQoubqL6qOPPuI3v/lNhffOPvvsCmd5RESk\nhqSkwd5CWPuV10lEgparghMbG8vSpUsrvLd06VKio6MDEkpERI7MJPeAiEitTSVyFK7uorrqqqt4\n8MEHef3110lISCAvL4/Nmzdzyy23BDqfiIj8jKnfAE7rjs1dhL309xjnmNZNFqkTXBWcLl268Oij\nj7JixQry8/NJSUkhJSWFxo0bBzqfiIgchuneF7viU9iwFtqe7HUckaDj+jk40dHRDBgwIJBZRETE\nJdO1FzYsDJu7EKOCI1KJq4IzYcIEjDGH/Wzy5MnVGkhERH6ZadgITuniv0x10cgj/owWqatcL9Xw\nU7t37+bDDz+kf//+AQklIiK/zKT0xf59BmzeACec5HUckaDiquCcfvrpld7r06cPM2bMYOjQodWd\nSUREXDDd+mBfeNJ/mUoFR6SC4556Hx8fz8aNG6szi4iIHAMTHQsdOmGX6XZxkZ9zdQbn5+tSFRcX\n8+mnn9KxY8eAhBIREXdMShr2X09ht23GtEjyOo5I0HBVcH7+xOJ69epx8sknV1i6QUREap7p3sdf\ncHIXYs65xOs4IkHDVcH56bpUIiISPEx8IpzUEZu7CFRwRMq5moNz1VVXHfb93//+99UaRkREjp3p\nkQab1mF3agFkkR+5KjhlZWWV3istLcXn81V7IBEROTame18A7PLFHicRCR5HvUT14wP+SkpKKl2m\n2rVrlyYZi4gEAdO0BSSd5F9888wMr+OIBIWjFpwfH/D37bffMmjQoPL3jTHExMTQuXPnwKYTERFX\nTI++2Nf+id29CxOb4HUcEc8dteD8+IC/Dh060KpVq5rIIyIix8GkpPkLzvJPMYOGeB1HxHNHLDgL\nFiwoX1zzm2++4Ztvvjnsdj9fxkFERDzQ4gRo3sp/mUoFR+TIBeeTTz4pLzg/fw7OT6ngiIh4zxjj\nP4vz7ivYvXswjaO9jiTiqSMWnHHjxpV/refgiIgEP5OShn17HnbFYkz/M72OI+IpVw/6+1FhYSFF\nRUUV3mvWrFm1BhIRkePUui0kNPXfLq6CI3Wcq4KzYsUKnnjiCXbv3l3ps7lz51Z7KBEROXb+y1R9\nsfPfwh7Yj4lq6HUkEc+4KjizZs3ioosu4vTTTycyMjLQmURE5DiZlDTs/72G/XwJps/pXscR8Yyr\ngrNv3z5+/etfY4yp9gD79u0jMzOTnTt30qRJE8aOHUujRo0Ou63P5+P2228nPj6e22+/vdqziIjU\nem1Phph47PJFoIIjdZirpRoGDx7Mhx9+GJAAWVlZJCcnM336dJKTk8nKyjritm+//baexyMichTG\ncTDd+8AXy7CHin75N4iEKFdncNauXcs777zDa6+9RmxsbIXPJk+eXKUAS5YsYdKkSQAMHDiQSZMm\nMWLEiErb7dq1i9zcXC688ELefPPNKh1TRCSUmZS+2P+8DV/kQo80r+OIeMJVwRk8eHDAnndTWFhI\nXFwcALGxsRQWFh52u+eee44RI0Zw8ODBgOQQEQkZHTtDo8bY3IX+lcZF6iBXBefHJRuO15QpUw57\nB9awYcMqvDbGHHaez7Jly4iJiaFt27Z8+eWXv3i87OxssrOzAZg6dSqJiYnHmfzIwsPDA7JfL2gs\nwSlUxhIq44DaNZbC3gM5tHA+CTHRmIjKN4fUprEcTaiMAzSWas/gZqP58+cf9v2IiAgSEhLo0KED\nERERR/z948ePP+JnMTExFBQUEBcXR0FBAdHRlZ+++c0337B06VKWL19OcXExBw8eZPr06YwZM+aw\n+0xPTyc9Pb38dV5e3hGPf7wSExMDsl8vaCzBKVTGEirjgNo1FntaCvaDN8n76ANMl56VPq9NYzma\nUBkHaCxutWzZ0tV2rgrOggULWLNmDTExMSQkJLBr1y4KCwtp164dO3bsAODPf/4z7dq1O+agqamp\n5OTkkJGRQU5ODj17Vv4f8bLLLuOyyy4D4Msvv+SNN944YrkRERHglK7QIMp/meowBUck1LkqOElJ\nSfTq1YshQ/63gNu7777Lli1buPvuu3n11VeZPXs299xzzzEHyMjIIDMzk/nz55ffJg6Qn5/PzJkz\nKywZISIi7piICEyXntgVn2HLyjBhYV5HEqlRrgrOJ598wqxZsyq8d+aZZ3L11Vdz9dVXc/755/P6\n668fV4DGjRszYcKESu/Hx8cfttycdtppnHbaacd1LBGRusSk9MV+mgNrvoBTu3odR6RGuXoOTkxM\nDMuWLavwXm5ubvl8mZKSEsLDj2lZKxERCbTTekBkPWzuQq+TiNQ4V63kqquu4qGHHqJ169blc3A2\nbdrELbfcAvifk3P22WcHNKiIiBwbU68edO6BXb4YO/wajOPq77QiIcFVwenatSuPPfYYy5cvJz8/\nn+7du5OSkkLjxo3LP+/aVac/RUSCjUnp6z+Ds/5raN/J6zgiNcb1daXGjRszYMCAQGYREZFqZrr0\nxIaHY5ctwqjgSB3iquCUlZXx3nvvsXr1avbu3Vvhs6ou1SAiIoFjGkTBqd2wyxdhLxkVkEWTRYKR\nqwuyc+bMITs7m06dOrF+/Xp69+5NYWGh7mYSEakFTI802LUDNn7rdRSRGuOq4Hz66afccccdDBky\nhLCwMIYMGcJtt93matkEERHxlunaCxwHm7vI6ygiNcZVwSkuLiYhIQGAyMhIDh06RKtWrdiwYUMg\ns4mISDUwjaLh5GRs7iKstV7HEakRrgpOq1atWLduHQBt27Zl3rx5vPLKK8THxwc0nIiIVA+T0hf+\nuwW2bvI6ikiNcFVwRo4cifPD8xOuvPJKvvvuO5YtW8bo0aMDGk5ERKqH6dYHjNFlKqkzXN1F1b59\n+/KvW7RocdTVwUVEJPiY2Hhod4r/mTjnDfM6jkjAuX4Ozs6dO9m4cSNFRUUV3u/Xr1+1hxIRkepn\nUtKwL83C7tgKiYlexxEJKFcF59///jevvPIKSUlJREZGlr9vjFHBERGpJUxKX3/BWbYIOnXxOo5I\nQLkqOG+++SZTp04lKSkp0HlERCRATEJTaNMeu3wRXH6N13FEAsrVJONGjRrRpEmTQGcREZEAMyl9\n4bs1lOX91+soIgHl+i6qmTNnsm7dOvLy8ir8EhGR2sOkpAFQ9NH/eZxEJLBcXaIqLS3l888/55NP\nPqn02dy5c6s9lIiIBIZp3go6dWP/y3MwXXpjYuK8jiQSEK4KzjPPPMPw4cP51a9+VWGSsYiI1D7O\nZdfimzwG5j6DGX2b13FEAsLVJSqfz8egQYOoX78+juNU+CUiIrWLadaShhddjl3yEfbL5V7HEQkI\nVw3lvPPOIysrS2uYiIiEiIa/HQFNW+L7xxPY4kNexxGpdq4uUb3zzjvs3r2bf//73zRq1KjCZ088\n8URAgomISOCYyHo4I67D99B47DsvYy74ndeRRKqVq4Lzxz/+MdA5RESkhplTu2J6D8S+8wq210BM\nCz3rTEKHq4LTqVOnQOcQEREPmEtGYVctxfePJ3Bu/SvGGK8jiVQLzRIWEanDTHQc5sIr4ZtV2MX/\n8TqOSLVRwRERqeNM/zOh7cnYebOx+/d6HUekWqjgiIjUccZxcC6/Hvbvxb4yx+s4ItVCBUdERDBJ\nJ2HSL8B+9D7229VexxGpMleTjPft28frr7/Oxo0bKSoqqvDZ5MmTAxJMRERqljlvGHbpR/heeALn\nrkxMuKs/IkSCkqv/eh955BFKS0vp27evlmoQEQlRpn4DnOGj8T1+Lzb7NczZF3kdSeS4uSo4a9as\n4ZlnniEiIiLQeURExEOmWx/o1hv7xovY1H6YxGZeRxI5Lq7m4LRu3Zpdu3YFOouIiAQBZ9hoMA6+\nF5/SEj1Sa7k6g9O5c2fuvfdeTj/9dGJjYyt8Nnjw4IAEExERb5iEJpjzh2PnPQvLF0NKX68jiRwz\nVwXn66+/JiEhgVWrVlX6TAVHRCT0mMHnYRd9iO9fT+N06oqpH+V1JJFj4qrgTJw4MdA5REQkiJjw\ncJwR1+O77y/Y117EXHq115FEjskxPwfHWovP5yv/JSIiocm0OwXT/yzsB29gN63zOo7IMXF1Bic/\nP59Zs2bx1VdfsX///gqfzZ07NyDBRETEe+bCK7DLF/mfjXP7fRgnzOtIIq64OoPz1FNPER4ezoQJ\nE6hfvz733Xcfqamp/OEPfwh0PhER8ZBp2AhzydXw3Rrsgve8jiPimquCs2bNGq677jpOPPFEjDGc\neOKJXHfddbz55puBziciIh4zvQfCqV2xr/4dW1jgdRwRV1wVHMdxCAvzn5Zs2LAhe/bsoV69euTn\n5wc0nIiIeM8Yg3PZtVByCPvSLK/jiLjiquC0b9+e5cuXA9C1a1cyMzN54IEHaNeuXUDDiYhIcDDN\nW2F+MxT72QLs6uVexxH5Ra4Kzh//+Ec6deoEwMiRI+ncuTMnnHACY8aMCWg4EREJHuY3Q6FpS3z/\neBJbUux1HJGjclVwGjZsSKNGjQCIjIzkoosuYsSIEcTFxQU0nIiIBA8TEYnzu2thxzbs2y97HUfk\nqFzdJl5SUsLLL7/MJ598wt69e5kzZw4rV65k27ZtnH322VUKsG/fPjIzM9m5cydNmjRh7Nix5WXq\np2644Qbq169fPh9o6tSpVTquiIgcO9OpG6bXQOy7L2N7D8A0T/I6kshhuTqDM2fOHL7//nvGjBmD\nMQaAE044gffff7/KAbKyskhOTmb69OkkJyeTlZV1xG0nTpzItGnTVG5ERDxkLh0FEfXwvfCEFuOU\noOWq4Hz22WeMGTOGjh07lhec+Pj4armLasmSJQwcOBCAgQMHsmTJkirvU0REAsdEx2EuvAK+WYVd\n/B+v44gclquCEx4eXmlZhj179tC4ceMqBygsLCyfyxMbG0thYeERt50yZQp/+ctfyM7OrvJxRUTk\n+JkBZ0Hbk7HzZmP37/U6jkglrubg9OnTh8cee4yRI0cCUFBQwHPPPUdaWpqrg0yZMoXdu3dXen/Y\nsGEVXhtjys8QHW4f8fHxFBYW8te//pWWLVuW39n1c9nZ2eUlaOrUqSQmJrrKeSzCw8MDsl8vaCzB\nKVTGEirjAI3l50puvIP8P42i3tsvEX3dX6op2bHR9yQ4BcNYXBWcyy67jBdeeIFbb72V4uJixowZ\nwxlnnMHFF1/s6iDjx48/4mcxMTEUFBQQFxdHQUEB0dHRh90uPj6+fPuePXvy7bffHrHgpKenk56e\nXv46Ly/PVc5jkZiYGJD9ekFjCU6hMpZQGQdoLJU0jsOkn8fB97M41D0N0/7U6gl3DPQ9CU6BHEvL\nli1dbeeq4ISHhzNy5EhGjhxZfmnqSGdajlVqaio5OTlkZGSQk5NDz549K21TVFSEtZYGDRpQVFTE\n559/ztChQ6vl+CIicvzMecOxSz7G98IMnLsyMeGu/lgRCbij/pd4pPa1a9eu8q+regoqIyODzMxM\n5s+fX36bOPhXMJ85cybjxo2jsLCQBx54AICysjL69etHt27dqnRcERGpOlO/Ac7w0fhm3Iv94HXM\nWRd6HUkE+IWCc8MNN/ziDubOnVulAI0bN2bChAmV3o+Pj2fcuHEANGvWjGnTplXpOCIiEhimex/o\n2gv7+ovY1H6YhKZeRxI5esFp06YNxcXFDBw4kP79+5fPgxEREfkpZ/hofBNuwPfiUzg33Flt0xhE\njtdRC87999/Ppk2byMnJYfz48SQlJTFgwAB69+5NZGRkTWUUEZEgZxKaYs6/DPvys7DiU+jex+tI\nUsf94nNwWrduzeWXX87jjz/OOeecw7Jlyxg9ejTr16+viXwiIlJLmDPOg1Zt8L34FLbogNdxpI5z\n9aA/gO3bt7N69WrWrl3LSSeddNj1okREpO4y4eE4l98ABXnY11/0Oo7UcUe9RLVv3z4+/vhjcnJy\nKCoqon///kyePNnzh/eIiEhwMu1OwQw4C/vBG9g+gzCt23odSeqooxaca665hqZNm9K/f386duwI\n+M/kbN++vXybzp07BzahiIjUKubCK7HLF/ufjXP7fRgnzOtIUgcdteDExsZSXFzMBx98wAcffFDp\nc2MMjz32WMDCiYhI7WMaNsJcMgo7KxO74H3M6b/xOpLUQUctOI8//nhN5RARkRBiep+O/eQD7KvP\nY7v3wcTEeR1J6hjXk4xFRETcMsbg/O5aKDmEfWm213GkDlLBERGRgDDNkzBnD8V+loNdvdzrOFLH\nqOCIiEjAmCFDoWkLfP94EltS7HUcqUNUcEREJGBMRCTO766DHduw77zsdRypQ1RwREQkoEynbphe\nA7HvvIzdvtnrOFJHqOCIiEjAmUtGQUQ9/6Uqa72OI3WACo6IiASciYnDXHg5fP059tP/eB1H6gAV\nHBERqRFmwNlwUkfsS7Ox+/d5HUdCnAqOiIjUCOM4OCOuh/17sa/O8TqOhDgVHBERqTGmdVvMGedh\nF7yH/fYrr+NICFPBERGRGmXOvwziEvG9MANbWup1HAlRKjgiIlKjTP0GOMNHw5aN2A/e8DqOhCgV\nHBERqXndekPXXtjX/4ndtdPrNBKCVHBERKTGGWP8Z3EA34szPU4joUgFR0REPGESmmLOHw4rP8Ou\nWOx1HAkxKjgiIuIZc8b50KoNvhefwhYd9DqOhBAVHBER8YwJD/c/Gyc/D/vGi17HkRCigiMiIp4y\n7U/F9D8Tm/069vvvvI4jIUIFR0REPGcuuhIaNsb398exPp/XcSQEqOCIiIjnTMPGmItHwXdrsAve\n8zqOhAAVHBERCQqmz+lwcjL21eexewq8jiO1nAqOiIgEBWMMzojroOQQ9qXZXseRWk4FR0REgoZp\nnoQ5+yLspznY1Su8jiO1mAqOiIgEFTPkYmjSHN8/nsSWFHsdR2opFRwREQkqJiLSf6lqx1bsOy97\nHUdqKRUcEREJOqZTd0yvAdh3XsZu3+J1HKmFVHBERCQomUuuhoh6+P7xBNZar+NILaOCIyIiQcnE\nxGEuvBy+/hz7aY7XcaSWUcEREZGgZQacBSd1xL40C7t/n9dxpBZRwRERkaBlnDD/hON9e7GvPu91\nHKlFVHBERCSomdbtMGech13wLnbd117HkVpCBUdERIKeuWA4xCXie2EGtrTU6zhSC6jgiIhI0DP1\no3CG/QE2b8DOf8PrOFILqOCIiEjt0L0PdOmJfe2f2F07vU4jQS7c6wD79u0jMzOTnTt30qRJE8aO\nHUujRo0qbbd//36efPJJvv/+e4wxXHfddXTs2NGDxCIi4gVjDM5l1+CbcAO+fz1F2A13eh1JfmCL\nDsCWTdgtG2HLRva3aQtp6Z5m8rzgZGVlkZycTEZGBllZWWRlZTFixIhK2z377LN069aNW2+9ldLS\nUg4dOuRBWhER8ZJJaIo5bxj2lTnYFYsh/VyvI9UptrQU/rsFu3kDbP2h0GzeALt2/G+jevUpdX7t\nVcRynhecJUuWMGnSJAAGDhzIpEmTKhWcAwcO8NVXX3HDDTcAEB4eTni459FFRMQDJv0C7OL/4Hvx\nKXy/Gux1nJBkrfWXli0by8/K2C0bYfsWKPthkrfjQLNWmLYnQ79fY5LaQKsTIaEpMU2bkpeX5+kY\nPG8JhYWFxMXFARAbG0thYWGlbXbs2EF0dDQzZsxg48aNtG3blpEjR1K/fv2ajisiIh4z4eE4I67D\nd9/t7J87G84d5nWkWs3u3QNbN2I3b4QtG/xFZusmKDr4v43im0CrNpjkVP8/k9pAsyRMRIR3wX9B\njRScKVOmsHv37krvDxtW8T9KYwzGmErblZWV8d133zFq1Cg6dOjAs88+S1ZWVqXf/6Ps7Gyys7MB\nmDp1KomJidUwiorCw8MDsl8vaCzBKVTGEirjAI0lqCQOYE/6eRx441+Er1yCE5+IE59IWFzi/76O\nT8SJS8SJjcOEef73+V8U6O+JPVRE6fffUbpxnf/XpvWUblqPr2BX+TamUWMiWrcjfNAQwtu0I7x1\nW8Jbt8VpWHlu7NEEw39fNfIdHz9+/BE/i4mJoaCggLi4OAoKCoiOjq60TUJCAgkJCXTo0AGAPn36\nkJWVdcR9pqenk57+v8lNgThNlpiY6Pnpt+qisQSnUBlLqIwDNJZgY88bTlSDKA5sXA95O2DdN7Bn\nN1hfxQ2NgehYiImH2HhMbHzFr3983Tga44R5Mxiq73tiy8pgx7YfzsZswm7ZAFs2ws7t8OOipRGR\n0OIEzCldMUltMC3bQFIbiInHZwzFQPGPOzxY5P/lwVgOp2XLlq6287zSpqamkpOTQ0ZGBjk5OfTs\n2bPSNrGxsSQkJLB161ZatmzJqlWrSEpK8iCtiIgECxPViMajbuLQT/4gtWVlsHc37M6H3fnY3flQ\n+JOv8/Ow362Bvf7pEBXWKHcciI7zF54jFqEEaNT4sFcbapq1Fgp2+S8vbdkImzf6y8y2zVBa4t/I\nONC0BSSdhOl9OqZVG2jVBpo297TM1QTPC05GRgaZmZnMnz+//DZxgPz8fGbOnMm4ceMAGDVqFNOn\nT6e0tJSmTZty/fXXexlbRESCkAkLg9gE/y/gSDXElpb4z/b8WIR+KEHlRWjnduza1bB/r3/7n/7m\nsHCI+UkR+qEE/a8UJfhfRzWstiJkD+z74TbsDRUm/nJg//82io33z485tav/n61OhBZJmMh61ZKh\ntjHWWvvLm9VuW7durfZ9hsLp3R9pLMEpVMYSKuMAjSUYBXoctqQYCgv85afwh/JzmFLEwf2Vf3NE\nZHkR+mkJ+t/rH4pQ/QYYY0hMTGTntm2w7fsfCoz/EhNbNkLBT8bYIMpfYH64rPTjWRnTsHHA/j0c\nK12iEhERCWImIhISm/l/cZQzQocO/e9S2E+Lzw+v7eYN8EUuHPLfmVThzEK9+hATT15EOL5tm8H3\nwxyisHD/GZiOp0GrE/13LrVsA/GJQXGJLNip4IiIiFSRqVfPP9elaYsjliD44Ym/uwsqnQ2iMJ9w\nx8HXrc8Pl5faQNOWGD3z7bjp35yIiEgNMfWjoHkUNG9VqQjFhshlw2ChxTZFREQk5KjgiIiISMhR\nwREREZGQo4IjIiIiIUcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhR\nwREREZGQo4IjIiIiIUcFR0REREKOsdZar0OIiIiIVCedwTlOt99+u9cRqo3GEpxCZSwSjjXcAAAM\n+klEQVShMg7QWIJRqIwDNJbqpoIjIiIiIUcFR0REREJO2KRJkyZ5HaK2atu2rdcRqo3GEpxCZSyh\nMg7QWIJRqIwDNJbqpEnGIiIiEnJ0iUpERERCTrjXAWqDGTNmkJubS0xMDA8++CAA+/btI/P/27vX\noKjL94/j710OKSorC2SJB1QwQdPGXJVEzCBtmsrRCqU06IGYmI42U9KRJi1LsmXIRZxRingQ6QOn\nISftYC5RFKCZCqJAaoq0nERFWXDZ+/+AcUf6gZIKy/K/Xs/2uyz7ufaLt9fe93f3NhqpqanB39+f\nNWvWMHDgQCcnvbmOatmxYwc//vgj3t7eAMTExDB58mRnxryp2tpaTCYTDQ0NaDQaoqKiePzxx13y\nvLS0tJCUlITNZqO1tZXp06cTHR3tkrUA2O12EhMT0ev1JCYmumwdK1asoF+/fmi1Wtzc3Pjwww8x\nGo2cO3cOgCtXruDl5UVycrKTk97cN998w759+9BoNAwfPpyEhAQ8PT0ByMnJISsri23btjnGgN6k\nozErPz+fnTt3UllZyQcffMCYMWMAsNlspKenc/LkSex2OxEREcyfP9+Z8dvpqBaAb7/9lr1796LV\napk8eTKLFy/u1bV0Nv5mZ2dTVFSERqNBp9ORkJCAXq+nurqaNWvWMHToUACCg4OJj4/v/qBK3FRx\ncbGqqKhQr7zyiuNYVlaW2rVrl1JKqV27dqmsrCxnxftPOqrlq6++Ul9//bUTU/139fX1qqKiQiml\n1JUrV9SqVavUmTNnXPK82O121dTUpJRS6urVq+r1119Xx48fd8lalFIqJydHpaSkqA0bNiilXPff\nSkJCgrpw4UKn92dmZqqdO3f2YKJbU1dXpxISElRzc7NSSqlNmzapn376SSmlVE1NjVq/fr1avnz5\nDWt1po7GrDNnzqjKykqVlJSkysvLHcd//vlnZTQalVJKWa1WlZCQoCwWS49n7kxHtRw5ckS99957\nqqWlRSmlVENDg1Kqd9fS2fh7+fJlx8/s3r1bbd26VSmllMViaVdzT5Elqi4IDQ39n3echYWFzJo1\nC4BZs2ZRWFjojGj/WUe1uCIfHx/HBWz9+/cnICCA+vp6lzwvGo2Gfv36AdDa2kpraysajcYla6mr\nq+PgwYNERkY6jrliHTejlCI/P58ZM2Y4O0qX2O12WlpaaG1tpaWlBR8fHwAyMzN5/vnn0Wg0Tk7Y\nuY7GrGHDhjlmA/7NarU66nR3d8fLy6snYnZJR7V89913zJs3Dw8PDwB0Op3jvt5aS2fj7/X5mpub\nnf53JUtUt+jChQuOQWLw4MFcuHDByYluz549e8jNzWX06NG88MILLtUEVVdXc/LkSYKCglz2vNjt\ndtauXcs///zD3LlzCQ4OdslaPv/8cxYvXkxTU5PjmCvWcc26devQarU8+uijREVFOY4fO3YMnU7H\nvffe68R0XaPX63nyySdZvnw5np6eTJo0iUmTJlFYWIherycwMNDZEe+Y6dOnU1RURHx8PC0tLcTG\nxvb6sayqqorS0lKys7Px8PBgyZIlBAUFuUwt14+/AF9++SW5ubl4eXmRlJTU7udeffVVvLy8WLRo\nESEhId2eTWZw7gCNRuP0TvV2zJkzh82bN7Nx40Z8fHz44osvnB2py6xWK5s2bSIuLu5/3t240nnR\narUkJyeTnp5ORUUFf//9d7v7XaGWAwcOoNPpbvjRUFeo45p169aRnJzMG2+8wd69eykpKXHc98sv\nv7jM7E1jYyOFhYWYTCa2bt2K1WrFbDaza9cuFi5c6Ox4d1R5eTlarZatW7eyefNmcnJysFgszo51\nQ3a7ncbGRt5//32WLFmC0WhEKeUStXQ0/sbExLBlyxbCw8PZs2cP0Dbjk5aWRnJyMrGxsaSmpnLl\nypVuzycNzi3S6XScP38egPPnz/fKi/O6avDgwWi1WrRaLZGRkVRUVDg7UpfYbDY2bdrEzJkzmTZt\nGuD652XAgAGMHz+eQ4cOuVwtx48fp6ioiBUrVpCSksLRo0dJTU11uTqu0ev1QNvflMFgoLy8HGhb\nRiwoKOChhx5yZrwuO3LkCHfffTfe3t64u7szbdo09u/f73hHvWLFCurq6li7di0NDQ3Ojntb8vLy\neOCBB3B3d0en03Hffff1+vFMr9czdepUNBoNQUFBaLVaLl261Otr6Wj8vd7MmTP5/fffAfDw8GDQ\noEFA23fjDBkyhKqqqm7PKA3OLZoyZQpmsxkAs9mMwWBwcqJbd+0/H4CCggKGDx/uxDRdo5QiPT2d\ngIAAnnjiCcdxVzwvFy9e5PLly0DbJ6oOHz5MQECAy9Xy3HPPkZ6ejslkYvXq1UyYMIFVq1a5XB3Q\n9s702jKb1Wrl8OHDjBgxAmhrGIYOHYqvr68zI3aZn58fZWVlNDc3o5TiyJEjTJ06lW3btmEymTCZ\nTPj6+vLRRx8xePBgZ8e9LX5+fhw9ehRoO29lZWUEBAQ4OdWNGQwGiouLATh37hw2m41Bgwb16lo6\nG3+vb1oKCwsd10ldvHgRu90OgMVioaqqiiFDhnR7Tvmivy5ISUmhpKSES5cuodPpiI6OxmAwYDQa\nqa2tdamPvnZUS3FxMadOnUKj0eDv7098fLzjmoneqrS0lHfeeYcRI0Y4ljxiYmIIDg52ufNy+vRp\nTCYTdrsdpRRhYWE888wzXLp0yeVquaa4uJicnBwSExNdsg6LxcLHH38MtM3YhIeHs2DBAgBMJhPB\nwcHMmTPHmRH/kx07dvDrr7/i5uZGYGAgL730kuOiVmj7SPyGDRt65exaR2PWwIEDycjI4OLFiwwY\nMIDAwEDefPNNrFYraWlpnD17FqUUs2fP5qmnnnJ2CQ4d1RIREUFaWhqnT5/G3d2dJUuWMGHChF5d\nS2fj7759+6iqqkKj0eDn50d8fDx6vZ7ffvuNHTt24Obmhlar5dlnn2XKlCndnlMaHCGEEEL0ObJE\nJYQQQog+RxocIYQQQvQ50uAIIYQQos+RBkcIIYQQfY40OEIIIYToc6TBEUIIIUSfIw2OEKJHvPvu\nu7z44otcvXq1257DZDKRnZ3dbb9fCOE6pMERQnS76upqjh07BkBRUVG3PMe1b0q9Ha2trXcgiRCi\nN5DdxIUQ3S43N5exY8cSFBSE2WwmLCwMaJtx8fDwwGKxUFZWxqhRo3j55Zfx9/cHoLKykoyMDP76\n6y+8vb1ZuHChYw8ok8mEp6cntbW1lJSUEBsbS15eHgC7d+9m/PjxJCYmEh0dTWpqKvfcc4/jcb6+\nvixatIji4mI+/fRTHnvsMXbv3s3EiRNZuXIlBw4cIDs7m5qaGoYNG8bSpUsZOXKkE145IcStkhkc\nIUS3M5vNhIeHM3PmTP788892mzrm5eXx9NNPs337dgIDA0lNTQXa9t9Zv3494eHhbNu2jdWrV7N9\n+3bOnj3b7rHz588nMzOTiIgIwsPDmTdvHllZWSQmJnYpW0NDA42NjaSlpbFs2TJOnjzJli1biI+P\nJyMjg6ioKDZu3NitS2tCiDtPGhwhRLcqLS2ltraWsLAwx07C12ZaACZPnkxoaCgeHh7ExMRw4sQJ\namtrOXjwIP7+/syePRs3NzdGjRrFtGnTyM/PdzzWYDAwbtw4tFotnp6et5RPo9EQHR2Nh4cHnp6e\n/PDDD0RFRREcHIxWq+Xhhx/G3d2dsrKy234thBA9R5aohBDdav/+/UycONGxkWN4eDhms9mxC/H1\nu3L369ePgQMHcv78eWpqaigrKyMuLs5xf2trKxEREY7bd2JHb29v73bNUW1tLWazmT179jiO2Ww2\n6uvrb/u5hBA9RxocIUS3aWlpIT8/H7vdztKlS4G2ZuHy5cucOnUKgLq6OsfPW61WGhsb8fHxwdfX\nl9DQUN5+++1Of/+1nYw7uw1w11130dzc7Ljd0NDQrjH692N8fX1ZsGCBY/dwIYRrkiUqIUS3KSgo\nQKvVYjQaSU5OJjk5GaPRSEhICLm5uQD88ccflJaWYrPZyM7OZuzYsfj5+fHggw9SVVVFbm4uNpsN\nm81GeXl5u2tw/k2n02GxWNodCwwMJC8vD7vdzqFDhygpKblh5sjISL7//nvKyspQSmG1Wjl48CBN\nTU23/4IIIXqMzOAIIbqN2Wxm9uzZ+Pn5tTs+d+5cPvvsM+6//35mzJjBzp07OXHiBKNHj2blypUA\n9O/fn7feeovMzEwyMzNRSjFy5EhiY2M7fb5HHnmETz75hLi4OEJDQ3nttdeIi4vDZDKxd+9eDAYD\nBoPhhpnHjBnDsmXLyMjIoKqqCk9PT8aNG0dISMjtvyBCiB6jUUopZ4cQQvz/dP1HtoUQ4k6SJSoh\nhBBC9DnS4AghhBCiz5ElKiGEEEL0OTKDI4QQQog+RxocIYQQQvQ50uAIIYQQos+RBkcIIYQQfY40\nOEIIIYToc6TBEUIIIUSf83+PXLpAHmIqqwAAAABJRU5ErkJggg==\n", "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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VPXhfl+8Ye1c3vKMEEmNONixGIyxGAyaXFKNi5gWwGo0wGw2w5hkHHzPCbMyF\nTquF2+OF1+uF2+uB1yvD7Rn87vUo9/se98Lj8cDjleHxnvU9z4rsBGrpDSvAOBwOX+jIy8uDw+EY\ncYzNZoPFYvHdtlgsOHToEADgvvvuw6pVq/D8889DlmU8+uijo75WXV0d6urqAACrV6+G1WoNp+iq\noNPpUuL3DJWntwteg+G8x7z6/gfIy8nBnddeg4z04S0jGq0WhjGeDwDPrnwYN3z/n/HQf/wn3vl1\nDS6dPm3Y4w6nE6+8txm3LbwKUydNCvr3CNdPFz+Aq7/9EF7e9D7+6R8Wxfz1/Qm0bkfT1z+AV97b\nhKb2DlRcOAMVMy9Iyi4yj8eLtk47WjpsaO6woaWjY/C7bfC+DrTa7Gju6ED/wPnHe+l1OpgMucjL\nzR38ngNTrkH5bjCcuc+g3Gc2GDDOak250Ov1evH56UbsPfI59n5+FPuOHMXez4/i6OnGoLcTyc7M\nQE5WFrIzM5GblYmcrCzkZGUiJzMLWRnpcPa6zrSOdCotJ26Px++5tFqNL3BYjEbMmDwJFqMBFqMR\nVlMerHl5yD/ruyXPCL0urI/woOmmzIDWHP5nUqQ+28b87VeuXIlOP2tNLFo0/I1SkqSg0//GjRtx\n3333Ye7cudi6dSueeuoprFixwu+xVVVVqKo6s4Jqe3t7UK+lRlarNSV+z1CJlmbgPDNwOrudeLP+\nr1h0XRUG+vswcM6aMQaDAV0BzuD53Yr/g1uW/gR3/utP8WbNf6A4/8x/vrW1b8LpcuHer1wX8Pki\naVppMSpnX4qa369HT28v5l50IS6ZVo40vT7mZRkSTN2ezd7Vhefe3oB1b76N9s4zfxBJkoRpE8Zj\n9oxp+OIF0zF7xnSUl5ZEbJ+paOt3u7Fl5y5satiO403NaLN3otVuR3unw++HZl5uDgpMJhSYTfji\njOnIN+eh0GRCgdmMfFMeivLz0dzaik5nDzqd3XB0D3539qCzW/l+uqUN+44cRWe3E929vaOWzZpn\nxISiQkwcV6R8Lyry/VxoNqmmjs8lhECLzY4Dx46f9XUCh06eQv/AAABAo9Fg0rgizJg0EdWVV2LG\npAmYMWkiJo8vRUtbO3pcLjh7XXC6XOjt64Oz16Xc53Khx9V31s/KbafLhcbWNjh7Xejt70duVibM\nBgNKCwpwcfkUmA0GmI0GmA25MOXmwmQ0KPcZDDBkZwX1Gerq7YUrWpU3GpsNUgR6p/x9thUXFwd9\nnjEDzGjToezdAAAgAElEQVSBAgCMRiPsdjtMJhPsdrvfv7jMZjM6Ojp8tzs6Onz9Z/X19XjggQcA\nAFdccQXWrFkT9C9AKWyMQbx/qv8r+t3u8679EqhCsxnP/vu/4as/+inuffhRvP7L/4fcrCx4vV48\n88bbqLhgBi6ZFr8B6Mu/eT9+8FgNfvHs7wEAGelp+OKM6bj8ogsxd9aF+ML0qchMT49b+cZyvKkZ\nT9e+iZc2boKrvx8LKmbjO7dX46IpZfj0s0PYfuAgtu8/iD9v2YYXNygtscacbFw6fRpmT1dCzRem\nT4MxJ3Faabp6evD+JzuwYdvH2NywHU6XC9mZGZhSUoJxVgsumVaOArNJCSqDYaXAlId8swnpY4RP\ng8GAruKigMvi8XrR5exBp9OJzm4nOru70el0orGtHSeaW3C8qRmf7DuAP9X/bdj4ifS0NEwoLBgW\ncCaNK8KEcUUYX1jg95qSZRk9fX3o7u1Fd08vnL296OrphbPXha7eHjh7XX4f88he6AcHjOp0OuVn\nvQ56rQ46nXK/fnCgqV6nhV6nh153ZpCpXqeDLASOnDrtCyyd3U5fuQpMJsyYNAH33Xg9ZkyaiBmT\nJmLqhFK/v4MhJwdSFMeRUGSE1f5UUVGB+vp6VFdXo76+HnPmjBwfMGXKFDQ1NaG1tRVmsxlbt27F\nkiVLACjhZt++fbjwwguxZ88eFBUF/h+SaKwAs35jHS4sm4xZ5VMi8nIzJk3E//zbj3HPz1biO//v\nMfzvI/+GzQ3bcaK5BT8NcYxNpFwweSLqfvsEOhwOfLRnHz7asw8f7t6Lmj+8BCEE0nQ6XDp9KuYO\nBpqKmTOQlZER1zIDwM7PDuGpP9biz1s/hFajwVev+jK+fdstmDFpou+YL8++FF+efSkA5cPx89ON\n2L7/IHYc/Azb9x/EEy++7GvFmDq+FLMvmI4vzpiO2TOmYdqE8TFtQWix2fDehw14d9tH2PLpbrg9\nHljzjLil8ku47orL8aVLLx4znESDTqtV/vI3nr9bb8Dtxum2dhxvalaCTXOz7+cP9+xFj2t4K2ah\nxYwisxl9A/2+IOJ0ucbsipEkyTemxJCdhZysLOg0WjgHBuDxeDHg8cDj9cDt8cLj8cLt8cDt9Zx5\nzOMZdVxIdmYGpk+cgBvmX+ELKjMmThjzdyf1kUSwnX5n6e7uRk1NDdrb24dNo7bZbFizZg2WLVsG\nANixYweeffZZyLKMBQsW4LbblB11Dxw44JterdfrsXjxYpSVlQX02o2NjaEWWzXYhTQ64R4A9u0c\n9fG9R47iuh/8M/7vdxbjwVH2JAq1m2P9xjr86Inf4OvXVeFYk/IGv/WZp6BLkKmFZ+vsdqJh3358\nuGcvPty9F3sOfw7v4HTKWeVTMHeWEmjmzJwR0TEm56tbWZaxuWE7/vvVWny0Zx8M2Vm4+4br8OAt\nN6HIEvzshu7eXnz62WEl1Bw4iO0HDvr+8s7NysKl06Zi6oRSlJUUY3JJMcpKilFstURsKujnpxvx\n7taPsOHDj7DjwGcQQmDiuCJcP+9yXD/3csyeMS3i005DvXbDIYSArasLx5qacaKpxRdsWmw2ZGak\nw5CVjZysTORmZyE3K0v5npk1/Pbg91AGwJ5LlmXfYFO3xwuP1wNZFrDmGcM+dzzqVxUmlkPKC38G\nUqS6kMIKMPHEAJPaRE83cHj/qI//7Knf4YU/b8D2F9bCNMpg0nDepH7x7Av4r5deBQD89IF78b07\nvxrSeWLN2evCJ/sP4MPdSqD59NBhuD0eaDQaXFg2CXMvuhCXTp+KqeNLUVZaEvKUcH912zcwgNff\n/wD/89qfcOjkKRTnW/Gt6pvx9euuiehAUiEEjp5u9LXQ7PzsEI6cakRv35nWgzSdDhPHFaGspBiT\nSsZhcrESbCYXj0ORxXzesQhCCOw6dATvbvsQG7Z97Ns3a1Z5Ga6/Yi6uu+IyTJ84IaozgvgBG12s\n31EwwEQGA0xqE7Y24ORRv4/1u9344t0P4spLL8F/L/vRqOcI501KlmX80+O/wvvbd+CDp38DU25u\nSOeJN1dfP3YcOIhtgy00fz/wGfoHVzfWaDQYX1iAaRPGo3x8KaZNKMXUCeNRXlo6ZuA4u27t3d14\n4c8b8Mwbb6PN3okLyybjO7dX46Yr58VsFsXQgM6jjY04eroJn59uxNHGJhxrbMSxxmbf7wwAWRkZ\nmFRchMnF4wZDjRJs+gYG8O62j7Dxw4/R1N4BrUaDyy+aieuuuBzXX3E5SgryY/K7APyAjTbW7ygS\nLMDEdg4WUaScZ/zLxm0fo7PbiUXXVY16TLg0Gg2e/NEP4ervT4ixJKHKzEjH/EsvxvxLLwaghL8j\np07j8IlT+OzkSRw+cQqHTp7EX7b/fdj0z+J8K6aOHww0Q+FmfOmw1q4TzS34Xe2bWL9xE3r7+lD5\nxS/gu7dXY/4ls2K+XokkSSiymFFkMeOKWRcNe8zr9aKpvcMXao42KgFn3+fHsGHbx/CctZVERnoa\nKmd/AT++9xuouqxi1NY9Ioo+BhhSp/MsYrf+vU0ozrfiS2Ns3BguSZJUHV78SdfrMXPyJMycPGnY\n/R6vF8ebmnFoMNAMff/9OxvhOuvfwppnRPn4Uhhzc/Dehw3QSBKqr7oS377t1hHnTBRarRalhQUo\nLSzwDRYe4vZ4cLKlFUcbmyBkGfMvuRiZGYk7m4solTDAUMyIbgfg9UakCXK0FpjGtnZ8sGMnliy6\nI2H260gGOq0WU0pLMKW0BNfjct/9sizjdFs7Dp04iUMnT/mCzYGjx/Htr96CB2+9EcUqXoxRr9Oh\nbHDgLxElFgYYip0+F9B4AqIlE8gfB5gsoXcljBJgXn5vM4QQ+No14a/9QmMbGiczvrAAV8/5ou9+\njiEgomhT5xKLpG59LuDk58CBXRDtLRBBLhglvF7AM3JZdVmW8XLdZsy/ZBYmFBVGqrRERJSAGGAo\nfgb6gdPHgQOfQrQ2KcEk0Of5sW33XpxobsHXIrDyLhERJTZ2IVH8ud1A00mgtRHCWghYiyCdb3rt\nKAHmpY2bYMjOwlfmzY1SQYmIKFGwBYYSh9cLtDQC+z+FaDwB4R5l991zNmUEAIezB29v2Ybqq76c\n0Hv+EBFRZLAFhhKP7AXamoH2FgizFcgvhnR2KPHTAvNG/V/RPzDAwbtERCmCAYYSlxBARxvQ0Q5h\nMgMFxZAyMv0GmPXvbcKMSRNx8dTIbNxIRESJjV1IpAICsHcAB3dDHD0E9PUOe3T/0eP49LPDWHTt\nwpiv8EpERPHBFhhSly77iLteem8T9DodbltQGYcCERFRPLAFhlRtwO3Gq5v/gmvnzoHZyH1piIhS\nBQMMqdp7H30Ce1c3B+8SEaUYBhhStfUb61BksaDynE34iIgouTHAkGo1trejfsdO3FW1gBs3EhGl\nGAYYiglZlvH8K39EZ7czYud8ddNfIMsy7rzm6oidk4iI1IEBhmJi+/btWLbq56i495v48a9+i31H\nj4V1PiEE1m/chLmzLsTk4nGRKSQREakGAwzFxJw5c7DxpRfx1au+jNfer8e1Dy3F7T/+N7z11y1w\nezxBn+/DPXtxvKkZi7hxIxF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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['n816'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.0 and 19.5." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for n816 band:\n", "Correction: -0.11351203918457031\n", "Number of source used: 1199\n", "RMS: 0.007980501010658921\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['n816'], num, std = aperture_correction(\n", " orig_hsc['n816mag_aperture20'], orig_hsc['n816mag_aperture40'], \n", " stellarities['n816'],\n", " mag_min=18.0, mag_max=19.5)\n", "print(\"Aperture correction for n816 band:\")\n", "print(\"Correction: {}\".format(mag_corr['y']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "HSC does not provide a 0 to 1 stellarity value but a 0/1 extended flag in each band. We are using the same method as UKIDSS ([cf this page](http://wsa.roe.ac.uk/www/gloss_p.html#dxssource_pstar)) to compute a stellarity based on the class in each band:\n", "\n", "\\begin{equation*}\n", "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n", "\\end{equation*}\n", "\n", "where $i$ is the band, and with using the same probabilities as UKDISS:\n", "\n", "| HSC flag | UKIDSS flag | Meaning | P(star) | P(galaxy) | P(noise) | P(saturated) |\n", "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n", "| | -9 | Saturated | 0.0 | 0.0 | 5.0 | 95.0 |\n", "| | -3 | Probable galaxy | 25.0 | 70.0 | 5.0 | 0.0 |\n", "| | -2 | Probable star | 70.0 | 25.0 | 5.0 | 0.0 |\n", "| 0 | -1 | Star | 90.0 | 5.0 | 5.0 | 0.0 |\n", "| | 0 | Noise | 5.0 | 5.0 | 90.0 | 0.0 |\n", "| 1 | +1 | Galaxy | 5.0 | 90.0 | 5.0 | 0.0 |" ] }, { "cell_type": "code", "execution_count": 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-udeep_id\",\n", " \"ra\": \"hsc-udeep_ra\",\n", " \"dec\": \"hsc-udeep_dec\",\n", " \"gmag_aperture20\": \"m_ap_hsc-udeep_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_hsc-udeep_g\",\n", " \"gmag_kron\": \"m_hsc-udeep_g\",\n", " \"gmag_kron_err\": \"merr_hsc-udeep_g\",\n", " \"rmag_aperture20\": \"m_ap_hsc-udeep_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_hsc-udeep_r\",\n", " \"rmag_kron\": \"m_hsc-udeep_r\",\n", " \"rmag_kron_err\": \"merr_hsc-udeep_r\",\n", " \"imag_aperture20\": \"m_ap_hsc-udeep_i\",\n", " \"imag_aperture20_err\": \"merr_ap_hsc-udeep_i\",\n", " \"imag_kron\": \"m_hsc-udeep_i\",\n", " \"imag_kron_err\": \"merr_hsc-udeep_i\",\n", " \"zmag_aperture20\": \"m_ap_hsc-udeep_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_hsc-udeep_z\",\n", " \"zmag_kron\": \"m_hsc-udeep_z\",\n", " \"zmag_kron_err\": \"merr_hsc-udeep_z\",\n", " \"ymag_aperture20\": \"m_ap_hsc-udeep_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_hsc-udeep_y\",\n", " \"ymag_kron\": \"m_hsc-udeep_y\",\n", " \"ymag_kron_err\": \"merr_hsc-udeep_y\",\n", " \"n921mag_aperture20\": \"m_ap_hsc-udeep_n921\",\n", " \"n921mag_aperture20_err\": \"merr_ap_hsc-udeep_n921\",\n", " \"n921mag_kron\": \"m_hsc-udeep_n921\",\n", " \"n921mag_kron_err\": \"merr_hsc-udeep_n921\",\n", " \"n816mag_aperture20\": \"m_ap_hsc-udeep_n816\",\n", " \"n816mag_aperture20_err\": \"merr_ap_hsc-udeep_n816\",\n", " \"n816mag_kron\": \"m_hsc-udeep_n816\",\n", " \"n816mag_kron_err\": \"merr_hsc-udeep_n816\",\n", " \"stellarity\": \"hsc-udeep_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_hsc-udeep_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " #Some inf and 99. mags\n", " mask = (catalogue[col] > 90.) | (catalogue[errcol] > 90.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxhsc-udeep_idhsc-udeep_rahsc-udeep_decm_ap_hsc-udeep_gmerr_ap_hsc-udeep_gm_hsc-udeep_gmerr_hsc-udeep_gm_ap_hsc-udeep_rmerr_ap_hsc-udeep_rm_hsc-udeep_rmerr_hsc-udeep_rm_ap_hsc-udeep_imerr_ap_hsc-udeep_im_hsc-udeep_imerr_hsc-udeep_im_ap_hsc-udeep_zmerr_ap_hsc-udeep_zm_hsc-udeep_zmerr_hsc-udeep_zm_ap_hsc-udeep_ymerr_ap_hsc-udeep_ym_hsc-udeep_ymerr_hsc-udeep_ym_ap_hsc-udeep_n921merr_ap_hsc-udeep_n921m_hsc-udeep_n921merr_hsc-udeep_n921m_ap_hsc-udeep_n816merr_ap_hsc-udeep_n816m_hsc-udeep_n816merr_hsc-udeep_n816hsc-udeep_stellarityf_ap_hsc-udeep_gferr_ap_hsc-udeep_gf_hsc-udeep_gferr_hsc-udeep_gflag_hsc-udeep_gf_ap_hsc-udeep_rferr_ap_hsc-udeep_rf_hsc-udeep_rferr_hsc-udeep_rflag_hsc-udeep_rf_ap_hsc-udeep_iferr_ap_hsc-udeep_if_hsc-udeep_iferr_hsc-udeep_iflag_hsc-udeep_if_ap_hsc-udeep_zferr_ap_hsc-udeep_zf_hsc-udeep_zferr_hsc-udeep_zflag_hsc-udeep_zf_ap_hsc-udeep_yferr_ap_hsc-udeep_yf_hsc-udeep_yferr_hsc-udeep_yflag_hsc-udeep_yf_ap_hsc-udeep_n921ferr_ap_hsc-udeep_n921f_hsc-udeep_n921ferr_hsc-udeep_n921flag_hsc-udeep_n921f_ap_hsc-udeep_n816ferr_ap_hsc-udeep_n816f_hsc-udeep_n816ferr_hsc-udeep_n816flag_hsc-udeep_n816
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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 1128935 sources.\n", "The cleaned catalogue has 1128841 sources (94 removed).\n", "The cleaned catalogue has 79 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_hsc-udeep_i', 'merr_ap_hsc-udeep_r', 'merr_ap_hsc-udeep_z',\n", " 'merr_ap_hsc-udeep_y', 'merr_ap_hsc-udeep_g']\n", "FLAG_NAME = 'hsc-udeep_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_XMM-LSS.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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dfcFtO5C6FXLfiq27kuqWj/2y9vcR0m6lrJsONfozop1ZPnHqTHk/mcw0vw7X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UAAAg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\no+1S3zhO/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W4nIbgs+swuy2oAYRWBuoKIYJShPOnItvjOH98FmpuAGgHz6L9Nd+qVCXvINQ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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: 0.11995867840823848 arcsec\n", "Dec correction: -0.08751257112411537 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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j0W07lLqV63Mbiu7RXLeS9/cx0m7lrJsONQYzpp1ZIXHqbPkgmey0oA43mIwQ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ZkBhFDrzEyMgwAiRMEtfx3ZGr3Wi2tiIdHuNP920u7vAoMROjfjQoTb9NBtZwCtoM0MXQQnl0oA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\n", 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iutAShhYvbUTh4kq9+UBNM/m/cq8lGTBo/MloLS2N6/YdJxJgXRmBu52Vq1JKcpALYBSn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\nPPfcc/jyl78Mp6Zd7tFHH4277rpregeg0Wg0Gs0HlFl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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": [ "2532 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc-udeep_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-UDEEP.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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }