{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.10?urlpath=lab/tree/analysis_3d.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[analysis_3d.ipynb](../_static/notebooks/analysis_3d.ipynb) |\n", "[analysis_3d.py](../_static/notebooks/analysis_3d.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D analysis\n", "\n", "This tutorial shows how to run a 3D map-based analysis using three example observations of the Galactic center region with CTA." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord\n", "from gammapy.extern.pathlib import Path\n", "from gammapy.data import DataStore\n", "from gammapy.irf import EnergyDispersion, make_mean_psf, make_mean_edisp\n", "from gammapy.maps import WcsGeom, MapAxis, Map, WcsNDMap\n", "from gammapy.cube import MapMaker, MapEvaluator, PSFKernel, MapFit\n", "from gammapy.cube.models import SkyModel, SkyDiffuseCube, BackgroundModel\n", "from gammapy.spectrum.models import PowerLaw, ExponentialCutoffPowerLaw\n", "from gammapy.image.models import SkyGaussian, SkyPointSource\n", "from regions import CircleSkyRegion" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", "Gammapy package:\r\n", "\r\n", "\tpath : /Users/jer/git/gammapy/gammapy/gammapy \r\n", "\tversion : 0.10 \r\n", "\tgithash : c6bfb5371a5a1682cea9aaf56ebedb3c42010a43 \r\n", "\r\n", "\r\n", "Other packages:\r\n", "\r\n", "\tnumpy : 1.16.0 \r\n", "\tscipy : 1.2.0 \r\n", "\tmatplotlib : 3.0.2 \r\n", "\tcython : 0.29.3 \r\n", "\tastropy : 3.1.1 \r\n", "\tastropy_healpix : 0.4 \r\n", "\treproject : 0.4 \r\n", "\tsherpa : 4.10.2 \r\n", "\tpytest : 4.1.1 \r\n", "\tsphinx : 1.8.3 \r\n", "\thealpy : 1.12.8 \r\n", "\tregions : 0.3 \r\n", "\timinuit : 1.3.3 \r\n", "\tnaima : 0.8.3 \r\n", "\tuncertainties : 3.0.3 \r\n", "\r\n", "\r\n", "Gammapy environment variables:\r\n", "\r\n", "\tGAMMA_CAT : /Users/jer/git/gammapy/gamma-cat \r\n", "\tGAMMAPY_DATA : /Users/jer/DATA/GAMMAPY \r\n", "\tGAMMAPY_EXTRA : not set \r\n", "\tGAMMAPY_FERMI_LAT_DATA : /Users/jer/git/gammapy/gammapy-fermi-lat-data \r\n", "\r\n" ] } ], "source": [ "!gammapy info --no-system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare modeling input data\n", "\n", "### Prepare input maps\n", "\n", "We first use the `DataStore` object to access the CTA observations and retrieve a list of observations by passing the observations IDs to the `.get_observations()` method:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data store:\n", "HDU index table:\n", "BASE_DIR: /Users/jer/DATA/GAMMAPY/cta-1dc/index/gps\n", "Rows: 24\n", "OBS_ID: 110380 -- 111630\n", "HDU_TYPE: ['aeff', 'bkg', 'edisp', 'events', 'gti', 'psf']\n", "HDU_CLASS: ['aeff_2d', 'bkg_3d', 'edisp_2d', 'events', 'gti', 'psf_3gauss']\n", "\n", "Observation table:\n", "Observatory name: 'N/A'\n", "Number of observations: 4\n", "Total observation time (hours): 2.0\n", "Observation table: ['OBS_ID', 'RA_PNT', 'DEC_PNT', 'GLON_PNT', 'GLAT_PNT', 'ZEN_PNT', 'ALT_PNT', 'AZ_PNT', 'ONTIME', 'LIVETIME', 'DEADC', 'TSTART', 'TSTOP', 'DATE-OBS', 'TIME-OBS', 'DATE-END', 'TIME-END', 'N_TELS', 'OBJECT', 'CALDB', 'IRF', 'EVENTS_FILENAME', 'EVENT_COUNT']\n", "HDU table: ['OBS_ID', 'HDU_TYPE', 'HDU_CLASS', 'FILE_DIR', 'FILE_NAME', 'HDU_NAME']\n" ] } ], "source": [ "# Define which data to use and print some information\n", "data_store = DataStore.from_dir(\"$GAMMAPY_DATA/cta-1dc/index/gps/\")\n", "data_store.info()\n", "print(\n", " \"Total observation time (hours): \",\n", " data_store.obs_table[\"ONTIME\"].sum() / 3600,\n", ")\n", "print(\"Observation table: \", data_store.obs_table.colnames)\n", "print(\"HDU table: \", data_store.hdu_table.colnames)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Select some observations from these dataset by hand\n", "obs_ids = [110380, 111140, 111159]\n", "observations = data_store.get_observations(obs_ids)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define a reference geometry for our analysis, We choose a WCS based gemoetry with a binsize of 0.02 deg and also define an energy axis: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "energy_axis = MapAxis.from_edges(\n", " np.logspace(-1.0, 1.0, 10), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(0, 0),\n", " binsz=0.02,\n", " width=(10, 8),\n", " coordsys=\"GAL\",\n", " proj=\"CAR\",\n", " axes=[energy_axis],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MapMaker` object is initialized with this reference geometry and a field of view cut of 4 deg:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10.5 s, sys: 1.98 s, total: 12.5 s\n", "Wall time: 12.6 s\n" ] } ], "source": [ "%%time\n", "maker = MapMaker(geom, offset_max=4.0 * u.deg)\n", "maps = maker.run(observations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The maps are prepared by calling the `.run()` method and passing the `observations`. The `.run()` method returns a Python `dict` containing a `counts`, `background` and `exposure` map:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'counts': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : '' \n", "\tdtype : float32 \n", ", 'exposure': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : 'm2 s' \n", "\tdtype : float32 \n", ", 'background': WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tunit : '' \n", "\tdtype : float32 \n", "}\n" ] } ], "source": [ "print(maps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what the summed counts image looks like:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts = maps[\"counts\"].sum_over_axes()\n", "counts.smooth(width=0.1 * u.deg).plot(stretch=\"sqrt\", add_cbar=True, vmax=6);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the background image:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "background = maps[\"background\"].sum_over_axes()\n", "background.smooth(width=0.1 * u.deg).plot(\n", " stretch=\"sqrt\", add_cbar=True, vmax=6\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this one the exposure image:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "exposure = maps[\"exposure\"].sum_over_axes()\n", "exposure.smooth(width=0.1 * u.deg).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute an excess image just with a few lines of code:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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a63L6ht+7Pu74vRSEdaceMurqSEuhkT+tox5zjTPSavU9Kbg2KHXG9+ygTf/yqJwUBz5geG90USTgKK9NKse1ZwK+AqCumnRaQUFbv1M29sm8sg/0FlbbIb+rdafCgZf5cx96yPclbZnKkIuDvvZfTV+vR2XV/APL1Mz55B7Ezy7RIgEFdwWwygd4QfXwBqBahpqWbqZ33TDJp1wuG/eSdtugaPA94oUxm3aYINQd+ZoGSKMaq88HxakGlCVXOgIJ9/duUQ9ySnn4itWIq1WwIW1ygwLgL6CevNwhnrNgXGvL4hn2IigbgGkPFe6dooO2mvHu1+3injLMB4G8t2s+GHKAV5DyskZ+2EqdOdCqn7vvs67vQAfwiKf3gSjynmJYpqEgvESleB+kqHVK90RPj6KUTTRP4Y4EETVzPjmrd8rZ5c6BuLprqah5y99LWjiAimNdmlyZ0SgjgEcTd8qRAmVBjgIjhel6B6i2vW1QbVuqW6tmybu710Vl0LR8IcwOI/DIoME87sc9ehVYKDqh6mCk3jEK4uTCmTbriQOte/PAwvsCLgeCCsi6ZbBmmOid6yfG9FQzVBpkh0IB0aKhJh6VQXlvH9x1wFRXQq1Pz8fGvvuA4xSNuy5y0GgwuKHqMzoRrSDh9GBk2fJdbSUOB3C1wgDM+gKkvA7kEa146qD86HKviZ9V1NTSjqsg4Fowt2V1iRaeuJbpmjSlHzW9HnHj0Xi4/3VE4zB+5nm3K4OFDgDqXaFaPL9n1HlxMHJuXq2UbVvvRT7tR7KfAwnjds8Lao66N4vy4TrwqpXUWjxrPCk79Zr7ni8GUi8NrxfND+vIeVv3AGLelYMmiKtXTN/XNIp6naiSANQeK2uieQPm4KwavYeZ9pyXfHMPlYTyvtQFkIDcSlxUTLQ/TV/7Uh6fR4kUqmjNgZeTg58CecSJu4vo+Xjz83HiJ25FewHgBwF8AYAPAPgjOef/ZynOOwfi3nmXJkIYTkfj3NdgusaHUpSnbYBqq1MuZrlBbcq53zX6sYH2tZkMyaNSNUsAzgMOIM+6CRq53Tn/CMy1FMavFgonJhmvHhtG0HCvihsLy4HGl2fTI4aauObNAdsH1WOdU7c+oB858wXEniNqSWl9Te/d0mgkvA5IDYqr5aEfNrgiMEaaoc+LMC8N6nLrIMD6Ur941VIb+fT3pZ47hx5oxkizlEUnQr0tNcDsoAufb/D+GVFvQKzQ6DNRO47oEu17p/TpR5OzxXjKVrTfCOA3c86/PaX0dRhWdP6RpQjvHIgDcyB3bxLn//SeArhqWKe8ok5scD7POBQkgMDToi/hXGvfotAZev4iUMC168rZkxEVoG6FEU3gtAA57gZj/XUlPWBIT7ex1aX7wJyf1jpQ/pbA0aPQD0B90k8kquWrhh5xn8rZqnbsg4rvvuceF3wvPhEc+SzzmQhUCHCbZs4rR+9tSSbQRN2edHBTl0Y+Q01caZyqPKIg5GaY06GGzrkW1nk1n4RhANiMgwDbJjAHZB2IHYx7qQi9p+81qhd/F24BPzk562KfjONb0X4NgP9y/P7DAN6aUkp54Ri2Owni3nkil6PZC5d3EIFgJL4ykqI8nHNxCpQONkvxNygdQzl37SBK3Xh+vCPcRtjhm/FLZWWgdg2MyqLXIjrHF1DpRJu+I+/o/GQYrV+dB3AtubFPLaf7Tbs2vjT4RZrkqQN/0wCbvh4kNL2IunN+W9NTflmpKKUZvA06TbEmnrbPLekAQKttmjy2/Oqg6vf1u9eLToy6Jh9tb/B05OQUz7EV7acA+FUAyDl3KaUPAfgtAN4fJXgnQVy1ScqSS2DUkBR4e3uO8UcaIp9Z2kxqTYuIhlDmb7crPDhN1YNq/T2qk+td3AT2ey7egaZJsx5Ifbmue5ErCCrwEkS1XhjGzwONtGigHgQBoyYkrR7llHmnCZrgGXpxMM6lCU6WgfFQu50m4GxQBWq3UKXRKHoWKDVdSFimG4FSY2F9jxcH8a09Qx5b86oTwwe5Sd5e01Vp7U8n3LlvvZ6Hqm3QrahowFyapNS60C0pnKqJlJol6+7R5VbeKefYijZi3haNjjsH4jqRFy1AUO1NxcH2VDPMNU3VTPsgHOMlT64rz1RLnDqFUCh0KwTmPCMpoGhhkK4yZaN3WWrY2vm8k/mBykzP4/SORwCfPF8snE6SRpOOTh3wmYzid678MF0VFdSAwquqN07k1cR76q2za4aBFUDlGXSgxSJ503K7bJpCWawJ61KpQv3UgYn5Zn513cKmr98/y6v0ygblB/fWWbJmKgcBAXBALEWJW9v81uJya8At2jV/+ejdRaL1eF45v+6/tBUtgPcB+DQA70sptQBei2EjrFDuHIhT2NkdnNQEXhv5eW3t1bAx6kSZjv6ett/TFXo6Uz9NXAkP7pNFUx770lmWPCwIRARzBealcgGx9aD3nLrQtLyzsJNO1gUGMCQgckKZi4WuUXdcz0cn8evgydPgddMr1meW7wTeyzHOLWqvFQcUzfNFCzy4nFNbdLvM/QCWPlGq4m6oTR+vbfA6VLc8isfvbZxeIrkv9yIlhvGqxcS6jTTg5J9B+8x97TqqlkKU9wjAb+RepGSpB8/aRKmGXQtzezmrd8rRrWgBvBPAnwLwMwD+EID/fYkPB+4wiEdyDMApS/s2APNZcY1DG5dyu0wbEp+DhHsaNKhNU6AGjDV3RAdVDg7UXtV01ze/1EkiDWjJWlHvDeWLne8mHXHRAhe7Uq7UAX0XLy5h3KRNVLtTANKVucoHK3DRQ2QDVIclq3+9WlQE8V0zALi6efI5ul3S9dKBdQPMvIr0fvR7acWj0oBuWVZWp0UcWUSqcBC0ddJ9iZaYeQX1pfz6R01eB2T2I7VEtYyugUOejTyBqAQtzU+o948rGueRs2nip2xF+zcAvD2l9CsYNPCvW4vwVQHip7yspUm5JSCJrmt6PljorP7a655AP+jsNNenI8c6MeEX4mKaXKLfCPhrXtRqUY8a57LDvC6UqVr0IdepUW6B2a6GmyYO77K0zStQ+//r5l3qpTGlZYMkNfSuG7Tqri/g0aAAd2rid6Si1Meatgopg5bdffe1nByovJ1F8USrUjkXwbCumavmvDS3pAOJT35vmrF9oraoVKvWCe6lxVYRJ+7lpIUXydL98wK45ujx5MStaK8A/OFT47yTIL5Eg9xWC3dTHqg7VfQ8IFqXPUdtQBv/YhkEbDvfc6QrQMMDj5kPNXF94QRd2qa8W+bZyXRRR7QrYmSSagdbGtB4TwHjIOX0hR3kdas8o7wTzSv5VQVtcuG+ElGFQOyTxi1RbF8PesyvW0KqefqgOgNae44gq5Og1QAYNLYD5m0REqyXH0uaPwdT1+gZt1OLSrHwnag11Izlafq5xcnvEfXobUTLqKK+8KeIe9Io8J9XbjWx+dTlToI4ZclP1yXyHtCJNXXL8vgcxCOtRtNgGIabNGXJw9RBukFzI2BTS3R/cM+TTmIChTqo8i0aJsvaofY4YUdzX2CfhNUyuunrDYgc9rS3y1iWTVvTGjT1WR7eIpUClCX7TLdFmSi9RL3ZlANZtlG0aeaaOX2du260YDB88l1MeW1qKoHb6/qgxuf1fTngOzCvATC/60lJrCitryUlcWlVK1D3CbcA+MkDIRSIScWwnXi7TwtxqDYe+d0znzqoR6C85pBwfvDWVM9Gp5xd7iyIRyb+2mSGT9hl+zw1zaih6POubVG8sd+MDzb94L2gk1O++RQl8gxZOuTABygFcC58iTwSfBEPO2U0wI1FmPnxstNz8hIYwNwtl4x6Ik/Nb6Bw4G55UfvW1YcAKh93/m76Mji6LNXdjYB40xQNdPqTsjO/B3lefy/NbWj6fPfNGKnG61aWVsQxa69K68RwGq96reg1oHbZjNr/GkWzxJNrHrmAzzV91m00gDxZmL0H8bOKvjD3j3YqJfJGiSZOKK6F6r01usYBCBaGjU8BfprE6mv/bJ1003w551tpyQJgOlApcOu2sAzjLnpaZp3ApDVRaZmWH+bXF+Mw/gvUdcjTi1Sjv5Z0tS6Yryrept7vpUXxp5/yJODbdfVqWKBQLf1eBs1uHID6WnOf/KJR6B5grmk24+Dh9RKJcuipkXIKTRJ5LS0Jgy75w98mDsazl9/UzNcsuAbzfnaQZ3xFbINijdGCA+qV2L6Y7jbuhueRexB/aqJVvWYy8rfP+muj5DUE1zUe9SjQT9XYvAnooh0fFHzDKNIHzF81MIm2yd/MU4d6F0H+cbGMmrCNxL/kY6sasroC6t4ppEOo6RO8L1EokSlNyTPLq66AvcTpK0d7FA1X4+GkZO4LpeJAPpVnBPBupHt6mXsgonMlLePPfQFwpeQIRECtZXpbqL73oweNDBTAYAlsmtqiAGo66hQhx+yD8lp4bVuRFxeVA12A1KA+UBkoA3M0aU7rjW1O0wfqg8GXqE4H6Khqzge793TK2SUC6jVvEgXRiLsG5g39mJZBYHHxjrLkm+yTqVoe1fI0TCN/Cp4bRjoKwU73PeF+3leYu0l6h7gN76hlYrocKAggNxJOd9DTuHSA8LzooKQbWnWoqQ+gpi7cU6SaWBW6pDrGTeYiyG9Tq5448TE/Ohjqe1d/5qitzjwpmrmFwHSmwYjpYw4nkZZN68k7uA4qER0RURxqbar/fvT+dPFUJ+HWIFDdVN3i0/bVSJglUUvtvHIP4mcTBcOIk1uqap/cVNBe8j3V+w0G/pULN9jJHHwY1sFbXeY8n3rAg05EAmWnQOf0ETwPCUPQoza+R6kvlmlyA8QyOGt9HOsYLKdOnLIT71FPkjWWCOvHuXqnVpQW2gLTxl2kHPQgCKCmQ/QaMHqrANM5m00z0ChEKvLb3DmS+8mwnNcSJw95ZoeKNPGKQhvzoZueKXdPz6SIg4/owKjdH7OspKhVXlXYxpcGVz4XUY2++vRRAVbLpgNjZPFGzzy+3HunnF0UvHv5fRtx7ZoSvXwPk4Je43G5NuH+2NGKtCjdJH8qS1QR01Nt0QcFAjc9PbjqEVguP/MZuYnpwMjBwQdLHchYfQp6fJccsHqJT60tArn6QXPStNIMm5oK4SfpFr0HjFz62E+vIRp5L5o4Sr1qPoFam1RXRwcs5pPujm078PrV5OaYT85vRPvlUJTaUnEa0K0VDkBR24sss2jCkqJL7JXOaiSdJctVJ0+X8uDWQCRLA9z55DzDQkrp0zDsFf6JY6Tfk3P+KxbmywD8XQDvHS+9I+f8XUtx3jkQp7YGxGDuErnLOYC714dqu65BRLykxq8LZNYGh4i24XPeAS8w33dbyx5p+QriOgHHPbz1kIAl0FEzXRfYaP51Qmon4eh9ovH4tgU3qI9XA4qmy7r0PTMOGIChxaCNa/x8RgFF/wjepC90RSYX/6gbobYpBTFtc6xz5fSrNmDgDAz5uBgnZHVlaN+XSVndlyRaEk+JLCbWk+5R75z7RTff+sCFbV81ataHus9qWaeBsRnqdNvPPVqAWKPWdNlHdUCnPDmgXpKzcuIdgP885/yelNJrALw7pfQPcs7/l4X7qZzzV50S4Z0DcWCuhao27o1dzVdvDNpY3ItFv1fuY00dRkHeF71oOgwXedN4Pth4eS3i5KM8ez2odgsU7ZVHiqwBuP7WDus8ejR4Mq8+uCoA7jGA/jWKRq3pNiiTnOrPzjg4b7BDoW10t0SXJQCnBkyf8Y0AnmqeTCOKm9p3tBiKaXPw13ycujLUJbK8XNi+kpQZGMvY1P1ijW5hH/J+E6U13W9K2uhrXtzDLgF5tHhuTU4J83hynthzzr8G4NfG7x9JKf0ihq1nHcRPljsH4m7G0kyLNn1S1y8Hn2hkXxpvdYEOA1DbVEBWrZ9aJLUPLpDQvBCcdfGEigLn0gILmrrq907Q4zUCHEGcni6MU0VpAb0W5YPhOInFjsTDH9RSIOhq/hiWdaLlvUTdwenmRiB1usjfhe4a6JOYvmMkUDRwdedTJjQa4BQ4fMCk6CBB0UHED8NekqVbTs/x3UzeH6aJTwNUD2y6mvZaSkPrtpFrx7xdGC+fV+rMy6TWl/YnVxJcEYvyqmmfR26liR/dT5ySUvpMDEvwfT9xAPhdKaWr6MfoAAAgAElEQVR/BuBfA/iOnPMvLCV450AcmG+1uaSJK2Cqt0A0kRlxbUuNgB0u0k74SV5Yt+PUlYkMGwG5x6WrG3mdHYNxqLnrJjWfJYVCQNeXv6RhepyaX+alt2dUY2d90zf9IGE4AGt59X0t7S2iZrxypcrrk8+mW+HWz4djXAKevl+4Kgf6DnSAXsqPyil+3mun5Cjf63Mp2cJQc/a25ulEBzl4epQo+64EVW0piFSVD6XaND63ZH0+REUtiShPxyyM28vJIH50P3EASCk9C+BHAPxnOecP2+33APiM8Qi3rwTwdwB81lJcdxLEKUsTLRytCRLU8hSMGMZdEYEYRCOTsQEq7wFv7KoBK71QxYMYzKu9mINexEGEWpf61urABtRAuKRNRzSQ1i/jqwYTQdaIN2X5fLLT09F86YKmDep6Z/3pwKWTx40913YxVdE0QNPX55UeusKLX+/nIE5QZHnUeuDScv5Ni6PaQp3ouaWQfOmWCbrPTJVfzOc9eD2SyoMrGBxuuLEa5tabymxyNEiLdaIbZNH60D1/ND7Kmr+HA7ArC5EixnCu9Dy+nNc7ZTxb80cA/A8553fMUhNQzzn/eErpr6WUXp9zfvWc7ENxasF33XPt1K8vja0+ilcmWoN6ibzEtRaf7glxTCbQlbRmYZriHtf3w3eeXO4+tj5QRNSAansqel0nppRaIhCEXLSk36IG+wZlQyuu6nygZe6G9C5QAIeDcjQQQb4fAOxH8p370wBFA/X9UQjgV1cDyF1j+Iu8iFgWUj70fd+Meb1AWUkabWWbG0w7Afb93EtGtXJ9V9rGvC1rGN67wUAr6b483FAt2kPHFSJdi6AKjYsqDL1ksrd7DrxqSZwq2jcjLTxqG+eRkzXxVUkpJQxbzf5izvkvL4T5RAC/nnPOKaUvwlC8DyzFeSdBfAkII04SmPuWqwYXAZqCnb86asC68MKpnKX8rbnnKe+ug07u60EDKL83YyDuEYK+zvMaf+gDmYdzrp3ufTq5x/LoSko+60IKokF9Og03sbrE4ElB8KOHyBYDFeOdVCdknSLje+nGH01fBrvdDvUEtYD6fg9c7YEXxzTVZ901YOaht2vcCsA9X5jW9RjZZnxX3ApAefFqF0SrR6UF1/rBNFcxVURps+rLH7VfL6vPKSmQaz9yJUXjBupBIRr0tV+yP/TyCSy7BvOevpvbTBavy1m9U74EwJsA/HxK6Z+O1/4cgE8HgJzz2zAcBPHNKaUOwEsAvu5VdygEGxJ9jp3+iDTeyEvFtc5IW2X4qjOz46MGDO1YSxOVngd/Vhf+9NarGKaB+BWPnf+mK5N5S5qPNsVjxiE7hHoH6OSxTnR5Z3WAIXAr4JFi4UEMi4dEAzPqRfdy4TXNtzfqHjWY+Y6RPHFojwFkuT2B+mfrBCDdCHW/bp005UCUmmEgasaBlhqv7uzX9EC7L6CjlteSm6HSX2sytU2J5yB/kfXo7xIowBtZcgreOrj44KDpLMWvFIjm1dch6LunbOx+tAr28eQ8IJ5z/mkcoetzzm8F8NZT47yTIJ7sky/PJ/WW+HLVdJcAz8MDNei7F0gn4TXuCMjVB5blcA1GP/1a288ny3iWIxem+AB1zJ8eC3ndoJ58dM1rTfsG4sFWtWkH8GqiETXY6OAQdWRe1wHIhfuQKLVASoEUA9+ptyFq3j3qLXB18ZC7LrI8uucK24sP9G1fBugs7/HYe1sTp5lO0SkdeBvUbcAlmk+haDxLoM62wcGNYX0A1/CabnR/iYZ8NDmrJn52uXMg7tqANwb9XGv0/pzTK0pLqIbpGoZPOBE8ODGpGqtr+q7ha1gHyBmIjaBwzGT0vKv14LI0408unO6d6rft4fW3gxSvT4c67GLumBqy7pOi+eXCp2hXR63/KE8ApqX5+77sf6KbdpFqcH97xr8dw/HsUHUTjLRpLuJRDXjKC+p2SiC/rah1B9T1sgTejYXRQVOPx1OAdS8qbctLGrpq1b5xmE/ma3580lq9gqI6Oituz+R+2f1ZRTPNRqKTbjcWxjVialnuvaFxq/ag4K0TbBEYasN2k9tXEwKo9g5XENK88r6DeDs+Xy2pRsxxHoK4XLtT18FoEZDHy066tG+Gg/zkNYIC4NHGT10HXI+Tb/QDp3AS9BLxYiXfo7s6iGLUmOmxoaBCMPfBeMoXCpBN9dCXyUlKZ32964YBSQcj1fCZBjXzaQ3B2LDpeaTiSgFFf6vlE2m/7lev1AX3ptHBWq0nbce62MqVIVpxFJZd5xrcSlvSvHXhm5Y9Ct+N//LZUP1eEz+rOJUC1GDBCTldfOJml/J23vDWXlXG8rmU2tDpm62Nj/FzEy11K2NLd2pHNRaCry7XRw+kvmiWqu0BNUjrBKVq5UoJeeckb828A3W9Mo3IkmH+I23dtW793nXD5KJq4UCp20sAD1Fz6TqIzeIeQZv17asxvXvqhCXLSYBnePXq6LvaItIVmcAI4F0N3D53wMFh8kNn+2hR7QsTHbUGzNv3MVCkqHcXy3Ytf05pqPbMyU5ffu+ytIYhCqefHAS0T7SoFSQNr3U7DT5nxd17EH9iolx4jzkfGpl6QAxCUQNTDw1/lveBUbtEvR/JNKMvEWsnpyanXLaLdgAG6SDHg3WljN7hNH+Mo0EN3ryuuy4m1BOa2kh0Mc4SQGh9+5L4Awofja4G8YPQKPzjoMytAh6Of9TidWMrxuNnXAKoXPqig6c52Kp/PrVM1hmFQMFVpA0LjWFQdbqPA5LTZ6yfFgVEgTLgcHk8ASzipSO6ymXJYgRqy5LArWebuq+4S6Tlu6ilxAFS42W901JTJUEHVJ87cvdSz8faxmG3k3tN/KyiwKGLQnSGXLWFioKwuE5peEAxczVehlGaZKIKgNnGQ9Fe1gCq7UZVI2aDPth31cw1f0Dd1LzMzKNqKnzO+VBaNHw+8sfWST4VPh8tV2cd9UBl7qq7JsGEmzMx35cY6vUhgMvLmIqp8iGaPaXry6Sh02EED65o1XppUbTxKS4pq9MwBCsPq6CilJSGoUyrgptBo+T7chpmsfz2PZrA56DP9qTzAQyrm6Vp2dwaUCtxKoN9VzdF3ZRNKRofNG4DnWw/xwaVR5N7EH+q4lo5ZamRRYsHAEwrEn1g8DjYQKe/ZsVlzjRPLhjSTuzaBpfvq+m7FN7Lpfzp5Lc8pukTg8qHqzbuWwcANafu2j+F1M7S6rnI194XnmxQLwhSLl0nEJX7JnjzqLYKHIP6phC0LlBAlCCunitaNli+ffIPFg6oAVznZ6a6OAEvGJeCc/SYT+4fJKwP3gR1Ki0JxY9fFzRFC8aUGtJ4KjdM1MoQ860DQmQ5RuVivfG7KjfRu318uQdxAFjcSzel9MkA/nsAHwHwx3POHz01zqWXrOaiijcSvx4BubrtLZl0S9o+4wAWALwvDd9drHSvDnYe77zuquZcqQI4qZw0pn3oC2ipm6R2VqWnog7G+lc6St/HKeY+rFxL5j/L4R451ck3fV3PThP5fEHYdqSueACIDpjR4KWDEFDoj6XJN50kpuWj+alcIVGAMaoXlmupba+Jxzebw8GytkxxSoXlbTHUv68R8Pzz2jGvMxetV7UqVDE4j+ibfeXJ09bEOwR76QL4kwD+DIDfCuBPAHjbUgQRQFHUW4KdbWnSZ6kzTGEa8fXtS5oOUI093yOmTvywXfonUwvTybPW4uae2wrcqokABaS8Q7As6odNr5Y0qi26oo5lYcfVfcy1rpVOOaCAFvPZyJ9qdA2AjXMNWAY7TxcoNIOeJB9NkLJ+ow7tWr9qjXQbpKQOaLpCE2k5o/kSTWsJgHxdA999B0x7vuh1luPG4mAaOkCdIpEFpZ4+PlGv2xc7fce26143fEYpQuYX8j2ihrxfMz1KVOfsF9E+M48n54vtxEMhEoC/AuArMSwg/vqc83uW4nyqIL6yly7xkSzIqiio6CZMwNw7xUVBl49qww0blNEqGpdTMuyYh76e2Ky08K6e/VdgYBxbeRYYeFFSKgQ8DgDN+Hkh5VGNsx0HDvVlZn4uunpwoJDb98Gy8gQZy8N61IU9GoYdWk+zYV1smpG3FmplSe/hABlp3AjucfLRwRqY+95TG57yHWj86kWklh7bI8Ekohu0PvS7gj5pgA6D4sD7rJNpMlvSjqzCNTBXGkOtBpaD9yIQ1wlq5lcHNHLqavVwol+fdZdUty5xpFxuAWn6BPLz681nGxJCRdYOhfgKDLsWfhaALwbw18fPUF42Ttz20v0lAG8H8CEAf+zYs04RNMBUx7p/whI3ph3ZNfC1DsgwrgXwul5b0hK5/JrnXkZaYuURs9B21HwlEPEoLAIJl/B3AHYdFrdEZX1FVs6Max1/qIWhYK5ZnuJoy1mS0aZQACZPFYLJDkXrrLSyAMC9nlnH6nGhE5NRNXCn2klbbOoy0ovIqRVaJFpuF6fttJ5Y3iTX6LHC+/quIWEJir74xQcHTVtFO7/G75P09A5ynl/TdBdWvcb4aGVywHTtnMoH25y/J5bLPYWY/xklhXPKeUD8xEMhvgbAD477pfxsSuljUkqfND47k5cFxIO9dD8M4EtXwr8dwNcCwLPb7YzuUCDXSTSlVcJ4x8/IzDu2bJcjP5/Vjn3AXFsEihZODdE9HtjB3YOA6alWFpmvwABaBHDmZ3KD7Aq14nmrtG3UlgVQOs6kRfXF5x3AtKsigGqjLq5mVHdAp6kohx7YSg9VrZHvUn2wo9WqXVfX8dVYBt0LJZpM047gg111Ck8/f0dAQPlouVC/J39WlQ2Co/LpCka+WlK1W6DW1DX9pbyqy59fVxDXCcpogFB/cR3UWB4FW50cVa1d8xD1Scbr1rIPHpD8vfe970VK6QW59Y6c85twK7kVnXKOQyE+BcCvyu/3jddeGSB+bC/dSMZKfxMA/LbXvS7j+efn8RqQK61C0cZ+6oTbar5Qg5vG12PUCLtCX9x0RTvUY8eYH80T+XVPSzneaNGIdzBqalsMnhrcmhTMn4WNJjC1g7DjTaa30COUaRtVoW/Um2Ra6GRheG0adKQueF6kx6cDx7SNK8pGVi/JdwIKtUGCk2twkVS+/pib+0sWnL4rvidtg+qBEfH2DEcPJU1PvWA8DtX2nQaclc3CqJcO3WWr7Zdp+YzhdT5hh/XJXKanSpBq4WxfrulrmaJBiXWknwDwhje8AR/4wAeeWSz8qRJt9B7LOQ6FiFjdxXVbT9s7JeHIXrrHpKIZ+rk2RsBUrwpvDK5VAHXnmnjopngJqJdKlY/geWYv9/XBA1zIopOZni/ViCmRFg7MOWjX2lwqrabHtClTZA1o2vqpcaVmvu0qUMAUQMwtB+KLcHyQJZAoiLsL5/V+POwYw4D2IoCPorZ6GK++KwI5TfVOLBbGvdSHG9QHElNYFoIe359rnKcqEDq4Oo3Cdkwg9PxpuSFhXXTw5IS2l4s7IiqiaH/yFb0+aGleqYFrHnsJG1W5X9M+oH2+DcI+suQ830/hMeQERfZ9AD5Nfn8qhmPaQnlUJfRRhXvpfnlK6Z+Of19520jY2XrUtIV2NjdZgXiGPAJN7bAb0UIYx8n5HIEyjzQKNWWCDOQ3UC+wifLP9PV+lJ9o8jXUEq2VuzWh4twlUKiSTVtANTVzUF8DQd6ftg5AGeQ0PT9g2MG8bct9TnDpys+liVKd4JwGy77w9XpIA2kiXwjF/KkX0LYtbYfzBmvvNcobRZ8jEEbL3b2K1wYKL7OL1rsPxBpe1xLoWgm1FpT20fwsrS/gvWg+QJ/TPAA1zRTRVo8sGUMDPeXviJyoyL4TwJ9Mg/xOAB9a4sOBp++d8tO4HQ7O40A5JICNwcFZuTiaiaplJLnOOPXzmLjWvXRvAgSUiTaCCmfyKUodMB4VLQ/vu5sfRcvKTpSwrhVHgxo7p6ZH03nbDlr45WUBUYLd9b5YRLpBlx5woeJzBbrR1AQAfSkjgYVWAA/FoMZIDvzF8Y8AztWY7h3Bd3EzPgcA3X7uXcTBVy2hDYZB7MJWkE5llwFhmnhF/b50joPSBN+1vU/pYC6Vl42F1TavbUc9d3Rl5baN24zG5YvK6O2icUZ5i/IdUUpr7pNLk7Xn1U7zbeiUY3LKoRA/jsG98FcwNOFvWIvwzq3YdBB3QOY15SAbu+cdWIVgqaBxqkRcMvNBkCCIqy+rN0QHcjU/3RNBB6zenmN4Lp3WY8oOfdFENf9TXUniuvESaY0L2btET+PpRi+YycVR2n40IXlD4EcBUZ1n4NFsl33xb8/Wnzy9GwzxvYByQLPz4N7JOefA8Ht5Rmk0Ah/jalEGNPq/k59vmmKFc1dCn2OgLIGe0gVqsfmcSTRHsiQsqy5RP6CuFw76QHm3S+LtPrRug3wu5c2dBjRPSidGZWTaZ4PcKWPnifHEQyEygG85Nc47CeK68ZB7FzhIazgE96L4ewzcX9PXDZivUcFPG1Q0E0+wVlc3ftc0mXfNs4v7v0cmtT6vXh1A4cB1pSjDarjZPAP/hC4gdRLNSSxp+7p7o0rXlbrhqTrqJvmQeTPaTI89owXAHQNVs+4x7L1C8UlkZomDB0HfNcypHHJtIwDOBUI3Mpmth0IAJW+R1h213UicfvPr/K5KgGrcHWrLUJ/jgD1RRvY+3UNnSdGJgFSVGhef5OQ1jW8N/PUZvt9TLeujks+qiZ9d7iSIu6sYR+8IvCPtWyWiVSpNQN7dAbUm5Z1mg7jDsOPSM8W1iSR5dIDR+KMOoxy5Wh8UtQQm897KoTRNlWY/52Z1ObhqnFP4Pm7vvl0seXCGJ02xx6BBc0DkJ70ebjpg15cJY+Wsr6+GfcivUCwegniDshCEmq23DfWBZnldO1aFoW2K//si7RCUUak0pq2TlEvaOHA7DVOVDqVw+N65XsG1512QDukyoJ6sZXwUz6e224P9BtZ5ax2E9PdaWH/mLJJx1onNc8udA3EVH6ndLYkdws1nf8HeeZ2jdI0mSp/iWrh2GIKIAm2Dev9x1XoBVHtnaOf3fb6BuScO62NpG9SlzqSWR/VcP67+lN/Oe6uXSbUgqEG1Ba8OApofaoF7lMHtAsUCOXSDBwrG70yz64aT6h3AlRO/RNHIG5SdEQmiWm9LWtwBBXBpiejkX9fV7o7X+8L3R66MTFvbgCsHTBfBd8YRiSoTrlywTbJN0Wpj/D3qd6sa+W4H9Fd1WVQxceokShvyXDQJ6Zq1xqvftW/q9/MC270mflbxF66mKIXaEv/Y0aqNkoI4gDnQ6XfvLG5OaiMm3+j7OGj+VQNUAHehRq9eFmz80aENKr2F987G59wly7U3/t6Pz1zvgYs9plPi3SMFqDs/JzSrVZUy2UeuWt+bps3FLx1GN8K+1uhzD7zUlzriH90MGwDPjnEmDAD+LOoTgiDPOZBr3VQTi71opqOFwDrh/ug+iOu7bsc88IAL1g3jjGiJJYkUFbUG+fuYNszBpkMN5Eny2PdAv58PTBq3pq1g7qL+8p5/WlDR+gUv+xODWXqnvELlzoE4MAc6/lbKZOItm8LFkg9eeuHU5in8fhtXJe8gmpelvFMLShZW/YsVCPgcy+Ha+JK3jXcktTQ839rxDhYeEPpmD2zHju4HNCiA60pLBT7tG6qVUvNWK4nAzuf47KErGryXQwdU5pv7Y1Mzb1EmJdtuoLy8jSgwqdY6pTMG1nIxX5offb+ceG4xHwSnyeq+1kpvA1au9bsLq8bnADpNMPa1EqqulG03TEwfW0x0ChW01Mc0b1Ea0dzCsbRuL/ea+NnFX7i7N9E03RpXqe5e5IYVXHuUycMlOcbLMQ52EN2Gc0noBgiIpmwArpy6+sFGi5lUvOG7pqSUC68xnAKgmsOa7y2GTbTarlg9ugBIl94DBeCcO2dDJN2h76FB0eomOqmb01xatgYDUD+HchrQQ5Tj3Z4B8FwDPHxYA+h+D+zGRUNMn54b7smTpT2xLNTCVQNnHtXSUqqPfvbuBXKw8E1fx6fiAEYgZjzAfOJc+X2WiTL564+WRduO/Wscddpx0N6KNq71o+/BF6XB7qlF6ouSlsrosjaInEXuQfx8ohQCRRvDtNqsqTddonQdJr9ifV4/FRiXRnq/FnXSSJOjuJZMTVNNR58cVQ3JX5ym19v1SJa8BNxkdTDXnfTUBXAzfk/9wJfSf5zL8n3ykxr1tM8KCrXAetQd8Zgf9c6JXAW5XPwSA4CzXgjorxk/Xwvg2WdrEO+62o+9sdF8tjhqDKtbK0wLhKSOWK8RDdg2xWNnmoswzXfpPNaIt/fBjHWyJOq+qNYdufJrABsO0m2xfuheuu2BvqvbCSwezZtbc2pteT61Pa8BOMvxxIA842wuhk9CTgLxlNJnAPisnPP/llJ6AKDNOX/kyWZtWY5p4g0wW6KtMnWSbhnIIpBzoAZiysUnSoFS0a7V8neDciQZNb8IlF0D90kfnfwEyva1mmf1WOGzGWUnPxUfHKI8a/kIVvQiAVBNivE3P+myFk1sKX2knGgv33UXRYxlusSgaQNFs99h4MBfg3LEG495W9pQSwF9cQfIpgxMamVUGnQQt4sOBEoxuSU5BK7fyxrnrIqJtku+O+4WqeGA2l/7IB5A+p7adtTSUbcx5odld0pMJfLKiQanYyDO5x5rJeFazHfZOyWl9B8C+CYAHwvgt2FYx/82AP/ek83aQn4wpyi8EaiwAyTpqHSX8knMqKFQEw7jXrnGAUUBUDlIn/Rh2Q4YOpZPqmln0O8qkQsXw0v/r/4g4XW5tFoYmg/n9zUfOiHWdsXqUe+VJWEedUHTsT0wOFhPe9x0xTJ4DYZ2ot48BPdLxFsDcAfE2T4uohCoRaHP6gQrBxZI/qK0KPrdBw7fw6VpgK6ZT34SiJ328nUUQLH42A6PcdpaRl91O3ke9XNlgRYalSLvD06h+MAUKWsqa3m+zTzWUXkV+Il/C4AvwrhdYs75l1NKH/9Ec7UizgGvVa27vy2Gs093C2SDYiM9ti+DNkx3U1ROU+kSDQP7zQGBz7lFwHyrpwDjbi0MF8EoiOuRW85PRm6bPoAq6Kq2PG0Lu+BLHq6+lDR5yIUfhlCFF4DMzcDV+t7g/E4g3wj/TAAll311NS4YkjxHo7WD+VJYtwR9LkA9pRoMBebhGb5PjD7bSlwcwHxDNZbb3w3rl9e9eJxsjdZWqJVxTJYUDd6LFlJ5NUZpeZ+PKJqlZx9Z7jiIX+ec98O+LUBKqcUZF0M9irDhuZbYQF5oh+nUmEYCO2+p1AOFlATd+hiODY4VoHwn5H7UkPj8mkbvWky0ClUBmpq7a1I0g5W64X1dMcrzD32wUNfMvq8pDdeMFSB8cCUw+urF/eiaeNMVEPMuol42Oj/gdRNJg7IPNt+Nlmsj+aDPOfPKCU0CKlBr5ZFSoOXTa/7pOKAAHlmDSzTUblfiUmDvu/nEpyoRa5pr1Aamo/lsANb8qyy5L0Ygze9LClGkies9nYD39r/Uzx5ZMu48iP/DlNKfA/AgpfR7APzHAH70yWbrduKgMr1QUU20Id50w7L6SMNT4KM3BAFRQdz9mdngdN+TqgP2NefdYJ0W0o2aVJvmYKCDT9Q5GaaTPPaoVzGyM+zkmYlrb2uaAihmMfMCew6ogbbrB39yYAAeoAyiV1flHbgcWyCi2v7kZkitVMLRwphWRTb1ZKRaBARvHbA4wOUe0xasvie6a8tL4qtZ/SBmVUq4PULT19ihafhkPds1278ODupaCLnuA4dugKVcNfOv5WC6HIjdAqS4Jap50DRmls2RPEeiVsfaZO7tJeNcfuIppe8H8FUAfiPn/LnB/S8D8HcBvHe89I6c83etxXkKiP9ZAN8I4OcB/GkMO2x93+nZfnqijZJA6Z4ok48yanBwLZgNRrUL1w6W9i5ho6y4Q9S8IXlJ7UDOeetp93pdeUzfd4WgpdMwqp1x8y2fD1C3xVl5RppCgWZJq6MGzXpTN7wpPwQdxCZdBOD6nvSZaj8Y1O9rpvXJBeexCeBaHxp20qTH711f5lbW+HJPj7IRlGIeFKF0AZFLNM+jPDzF35FTKpF4+/Yy6ASs96UqLNbpDO072lc2zbwuTpFovuhsdErOmJYHP778TQBvxXBY8pL8VM75q06N8CiI55x7AN87/r0ixamECoioRYoG1vXzRuxm7VI6Sk1og9Hf1PiUr73pypJ17gPSogZOb3QO7Jo3N1tV2/LVh+wTHcqydO1kS429WohjIBFRAUA9OFAbT1393H5fditUjpTxc5Bxd0bm1cGFi2qc69d4aVlo2bgcnmkxLzMX1sbK2xcFwTXyKryAsHLnS/ut6/7lQKGd9AAMTWMqTws03VhGqQsqI1eYH1LsFg7brlpjGO/7ILy2+nlJetT0oB6k4QOgLpbis/yM8q1tmXlvz4bgTPw8mnjO+SfHY9nOJosgnlL6eaxw3znn33HOjNxGlhbkMLP0JpmqvasBz7XwSNio1e1u0i4Rm3YTMDfzDZF40O7WzEVt0CpT5w/S0Px1do8gTr4cKPuX9/YXtXOdU1DRlZdAoVkYT9TBZtrZ2Dl1UIkGgIw5jbWRvwsUU1w59YPFWQGUAYVq3w78gAysY7mbMcKozRCY9QgzL7e6u3LHQ80P+fhpIRTrox8W1LQC5jpRyjjok6/8MAH8MH66X/aSxhr2DR3Q+/DyFLdbQZqG0lRaHq2LrgMO+xL/klXGePnnluSxc3JPltt5p5x8xuaK/K6U0j/DcJrPd+Scf2Et8JomTnWe+9q+ffz84xi2pHhZxbWxiKvVVWKqXTmgu2jjZuduUWuw5Kq1EW1QNCT1KAAEDPp6v5NpCXPQkLuR4+z6uiGrBk36QrV2DiYsC/PH1Z6cnFRti/XCNFxDjvqDaqhqoSh4EkBVosHEfXyVf29Q+G0CuE68Mu9APchNE5m2IlKfcYvGt5nVTbucmtvIu+PADcWvGwYAACAASURBVNRhqVnzPetBGgQZ9YQhz6zWwQ2GwX+7HxdDyYAE+U1riX8c1DgHwkFQ53LUcnOLlqKDsSoH2k9Uy3arMQJZPQ1K60JHU1oU0RyJW6mVRWsKx1nkdBA/6YzNFXkPgM/IOX90PPXs7wD4rLUHFkE85/z/AkBK6Utyzl8it/5sSun/APBdj5HRRxY19XwCJQJy1RRPFQUtbZTKYzeoPSCmhtrMOxlQgzl5VTY0PViBYbVTa/nYmHWxj1JI5NLpXsjDDch5U1zbIqDdoNZmJnDtx8YSdAwCuNMf2riqAc3+gHpA1Lom+FB7466DOoA4JbCRsNwCQA+uAEYqpC91R+youFXRnoGaIlHNumnK6mCK0iIsP/ce3+6GQzUofVue4fJ2rddqq4OuTBJrveoxcLRCM4aBm9sfE+g4oc7vqjk7eLNI/tq1zc+oIcRU2KT4NMUSccsia1yoF6Y5jaL5jpSNs+5Z9ZS8U/TQ5Jzzj6eU/lpK6fU55/cvPXPKxOYzKaV/ZzyRAiml342yIO5lEQVYF9espglOLLssIbivGjyBUjXYmek2fipXuDTRRQDXhqyTO+wYvNb3tT+5u1NpQ1aXwR5lsyceTaYTnzqxqsv53VJhuX0RDORZpT+AecOa1QFqr5iZNwTqd+md1K0TCsvYYn58XNOUuYm+HzTgcAKU35v6LwLxycIywHeXQn3fyqNTVDPdtMPeMF42xuMDiIsqMzrJ7GsA3HsnEtYP62TaMlmUEOe0bzqg6WqKSgFfeXCdnPX1A5GDgTYj788+oJxN8vm8U45JSukTAfx6zjmnlL4IQ7E+sPbMKSD+jQC+P6X02vH38wD+g8fK6WNK5HPrsubI7rxdL9c2qEd7/YT81oZNIdBV3gyjTB4IqDu0a+3cbbEylyVPkelPUcpB80TfcAVCLvpZKkvk2dAAE53AwUU7mWpfa32JoM3vDWrqYsp7j2plIsvDdHQhFsFJJ8y4tN6BQ+PHvlg26pfuAH4KOCiwpWbu0MA4Io8p3ud5nQDQy8Qe/ba3Ava658u0/8oYJwEwoQyWtGIuUYM4xTlyVVQUvNs2rp+ZN43MmWj96OSs1oFujNb1c79zV9DYL6JXs3Se6yPJGU+7Tyn9EIAvw8Cdvw/Ad2JkWMfzNf8QgG9OKXUAXgLwdeNxbYtyinfKuwH8Wyml5wCknPOHHqsUZ5BTZ8Qp7OCniAO5xwMU7YXhZ3GMnfTYYBMBg3uEbJp6SfWSqMlaaTiivuiyeP4G6nItyaQJ9XG+NW+hhWRa/ATizXxQY3gKB1y+dwK4T4xO3hUGNGqys04P4/UJUHs7rk6A5lTtTudDgIEaiJ5X90G2kWzvfdvWlkKLMjj5HEoEiiwH518I2LTM1Bc8LAvm3ioO4NHAOMtPX1/zMBQfrF14WdcheN778d9U/+dUns93xuYfPXL/rRhcEE+WoyCeUvrz9puJfddtEjqX6OgcfaecsmLLXakYv4+5Ghf5ZW9AOrHnbo0us4k+NvTg2qmigOzeMV03cKnJQLSR7wrgPrfAyVTSLZSqk6K2ZpSDpyseFw/5svKIFqhc9LpCn3Qohyp3qN8NAYtxb0xjBOaeHdzEiXVEYNUdMJM0ksh3u6LhgrQUsPmbK1m9rL7rYyMHYOx2heOv8iYTowRdgjWzvpPf07xCKdZMQeB9nRzWidxo4NBrk0Upcepk41QnI22iA5t6MGnf1kGb8SpdOjXHJ8F8PCVO/FHkFDrlBfl+icFr5RefTHZOEz/cleLaqjYg57yjpbo6uVdNJgXhVJS7rIBcJ2yEhgCWQct/OxXn2nLEmy6tJuyvyiClHZgddsk7QRcCqeihuSxqO4a9QNkrW7VT1YgViAjw2pmrTi0grq6Ea0qyzk9M+ZU8EMAnn3GZjFSviWnlKur4PB0VlpdWQTWxjbp8euDzoZ/XlYK4AzhdV1mfux2A/bxtK4jrytVpMRbi+QcF74ha8rrwcsLqzo/uo8+9t38fZJQf5/0exWpuUCblzw63d30DrJzzd+vvlNJfAvDOJ5ajIxJpyrp4QTs1tUPKEpAr+Ku5rtSKgwVn+11rVa1ANSRgGcAjui3S+ELzMbimQKDxNM2gjVNj1QNxG5RyqxbE+prcIpui6ff96E3Q11YNzXY9lEO1N9fEmc+mKQtc6GoXgQxQe1o4v1txq10BawUhBXINS5Bxfl7jJNiq98qkzZuWum1ry8sHKpY3wggHTdd6GS8HCu6p0jQArurzRPWgDgdhpq9ljxYX8XOanwjaqOddvYG0DnxLARVq8S7aJv1R9tGzraucJX6HQTyQhwB+67kzcqro1rBLgAwUs9IlAnLVTKPw/sya65VqB7ygWpN3TAeGqqzS0Nc2ztIVpJP20tfgoMds+cCm5SJYUvPRgXGD0rlVo06jNwLLTw1OJ+E2AaBrHRAE+Zs7CbpZzXc8LRhB0f71XTDORjTBihdv67pYW+aug6xOth7k/qattWodJJim5kvj1ZWaaxy8T/7pitFJC0cN6ExbrQqVQz/s+67lXppkZnjSSpEbpVoRXpdej/6sxtE0gxdRh9hJIaqifuH7Y8td18Rt5eYGwMcB+K+fZKZuI/4yFXBDf+dAqFFv7Zpq6EAx5/mdA4XO6nt+FMCjRT381GXGS7I00DBd5bn1IGI1QyHhdHKWft5APdfglk1j5eBZi94p9b76akfnbbJzU3Pr+xjAOUAeMJ+cmwZvGxwJ5NfjNfXHd6DicxQHKcYZrcg8dIXnTk3xh44oI/LcfO9dVzYKA8qiIdVkNR3mawdUPditi+m9rZSzDcLoIOf01n4/WF+66RbrUvOhmrjWow4GnPzndU2/bYFuX/exSDtHcD2iGB9LMkpBX4FyiiauG7F0GHwYX9YSRfuN9MAcQO23b9+6FCcbjC9gYb9wvphpaYNrULhH10h1H5cZF76Qdy7Q8Aarae6aWtvq+tqLg2HdK4GD01VQVtYHXfecl+37usNTfODa7mpNHCgdPDU1YE2fUl7FzWjhj6Y7lUtAfKqvplARS3SFvpNDP1gZ0cHOUTrTBlECZBw4eH86OELyNR3w0Ax4sWnmQMx88f4SzRJRIFW99nVYH5g1DloJexl41GKiHII4VaY88LdZPj5gAaVPOe3ZyH0Vd3A4n+58xzVxAH8h5/wmvZBSertfe5pSrZBEMflPqWYF8kgikFPXsyVZA/AJOIRS6Psy0ebxTN9lhPJBSpeZc3GLLv1W0XrRVXPVXh+jZsfRmZ9aJoKtLjhpGlQ+z1VZBCCcZ40mxGaTYhoXSh00KO9oE5Q38v7p+zifbsbzu1Mxx8Q5+CidNapE45m8eBbCTwth+gD4DNB9J02vYwVwvp+oThW8dW7nUdfAcEBUV9yoXThN1sh1Fe/PZ4fcO37G5ufoj/FQiC94Mtk5LrqcO8mnuth5devvBrWpVflXWxyuAeje16qhKqjoDobaMdQ9DKi1oog/BAoY+UQQ88Z8uIas5m9nx700KJqh7vHd7jGY+aiBvJU/XXF4ip8yUNfFklm/5N1B0D2gpq04EEU7E/KTmizBwbdQjdwCCXpZ3sm2BW4MDH1PcZaDB0yoteGcuItOTk7+/H0wUFoeWT6dsPX6i3bSnPSCvqRLqksthokKGR9Qi0mtGB1wtC6ODlYobVrfjeatKg/mgA7UNKmv6lxS1G4td5UTTym9GQAPg+B6/oTBw++2u3KdTXxPDmD5ZUXVvkS7EKwbjA1UImhRgzlQe0Q4qLhWsxGQpZaj5iQBQxtypVGpKS9EFjXRbVv25KDXCAGt64aJK1JIDKvUTnV82r5MHLPMlxioGk6ORaCyDUA9mria3kNfvEFcC2ec7RiulXrXMkf0h4u7BkbhHHTobaJeLQQu1u9SmciL85227QiellfNC9PhviHVfENbg2skkRUTWRiT10cQ1qkVioZxCod/B2lv3PTL87ZU7xwcmD/K5CmDAtR6ZqrToaqYNfZ5FrmLIJ5zfguAt6SU3pJzfvNTzNNRiV4OPUzYfgjsvgnPWpwEeDaqFsNFpWuiZd4KLM59a4dUzVGX1rv2vCRTR0ENnr5HiE7A9T2AqwJUW8kfqRcFnIt+AP1W0tq2w1Lw3W4O1tEeMGvg6iCWDVDUrzoaBCKgmSbOulJPM5c2AzfNj15Tb4/pmoCpP6PaPfNxdTXc00lUxk2OWTlkXVGq16gdc4BWX3ot91I9T6cGWdlzU4f3ONxLiPec91Zhnvb7WilxUUWol3wyX1XYZringzifo8JFUVr1rEezAWdddv8kZE0T/+yc878E8LdTSp/v93PO73miOVuQyKTidb7EaDKykXDHNsPSfRcaFE2cv9lQ6AsdgbWu+FvSoiJtKZIIzJSmIYATZEgfKNdJk1cHEwVbBeG+r7c8VQ+TyKx3AFfNyiewFPB8iwFg7pnhABR5tzinGvkgax1XVo58dz9+DigXu9FbRsqg5VfPIoL01VXNIavFxclNppWaepdFf7d8v8yXHxyxNli6F4iX209e0veX+9r90ZfFa5x9L+C8X6a6qjzKZ8N6tTzQGqvyLt+TfXda9GzylDbAehRZ48S/HcA3Afju4F4G8OVPJEcnStUo+9oFib7f0eh9GyFPyedUq6e3hi8fV1PfAU+FK+2AunMDcy3Jr6mJvTVvEWCuNLRt6cg+6ebcKPOptMsSnw3E5Yx8jN3NrLGeNvlyd6hcFn0Q9PpUoHEvCq8zXYYfUQP+ndSJ+lyrlsk/5XWvrgZ3wcO+LufhMnbbA0pb0HZEYNe5FG6qxTRZl6ola537gBYBPVC851x71np0d8vFlcf8MtJDPpfQjIEm4EYNutqGeJE0Ivu3zk2FOxkiXmH8yHJXOfGc8zeNX78i53yl91JKl8EjT0WqSUk2JIhJhqFhuJ+3tjXf+4QvXeNlI8oSiU+C6kZLruEuaaZAafjVCrtRIiCf8j22UO3YqiHzOXY67XgKOg6yE4CJ5n55WWv5Hn8EHFo+fYblovatFEREv6wtItH4+QzD7/dFA9bFM0BNT7g3Bt/Rtp3n260B+nP7itPrfQ3oXHFKKks1bH2/rEd9T+6W6kqAv2Mt6wH1pK57lESLmnIf+3svbYPg72VSSE7AOQVyQAA8UAB0sOKpWFzPEfVr/j7/Qcm4myAu8o8AOJ0SXXtq0o//CKQAKrqkQU1/QO5FI7eeBuOahXoN+IKDaIMrB5ul09E9jQrwg/bimuISVbPU4Txves1NeII4gVw1dO3UpywXdwqDg61uaateOPShXjLbXeMH4sUkjE8HVf+LrAfXsJn2pi3zBEo/qRy6ou2zrjipyaPX9KQgLbPmO3It1H1gdEL4ELxnSkUx2fUliqJb0NZd3HqYgXPQ9llehvWBS8Mt9UPtq/o5hUPtuXU2uYsuhuPm5J+CwTvl81Dq7zkMS+9fNunli78ozmZHi2OilZWzY56a2tc62oBKwT7ScH2VHiR85Csdgmtfd0KKu4OpTy9528jrY0l0UFDN+9lngYcPh9+kiAgaTmH4alMFTdU8d7s5aDk1ohqmilsUfhISl763LfDSFXCzn4fXASmiU9bmC5oGuGpqrVffL/dAudgBN7uy70vuBy09omCWyuYWnNMapIz2+zm3Hi1i0jSWBngPt3RN49QJ8b4HJuoD83bvMh020awrOCoN5kqYbwl9NgpF5Yx0Skrp+zEsoPyNnPPnBvcTgL8C4CsxHIP59cfmH9c08d8H4OsBfCqAvyzXP4LB9fBlkYzBx3E6kSQA8qXJTyxcJ6hHrmtLYYFlzZbguuSSNbnqBR2ZYbWjacdQGkXz0Pe2D0qghbtZzusK4A8fFhB/8BB4INq45uVmX5aL61Jw1VIVyHUAiKgUliHa/ErrQvPLuJl2K5Np6nnjVEpEl0ReNpon0ij7fVkx6Zp415U0tm3Z/wV94bK9/jmJHsXnk45OnwAjdx7km3UVSQTi0e+l56MBzj1S1sB4zXqL8qgeOS2W+/ATk/N6p/xNDPuF/+DC/a/AcKbmZwH4YgB/ffxclDVO/AcA/EBK6Q/mnH/kUXL7JIQnyPB7C1STJCr6YpfG0UcduaNTQyKtXBu1a+gH1Pco9BsO+cd2zt2qJrpk6lMyK0vSVQB/8HCI//JyAPCLy+JeqJ2MGiH/Jg54lIjTrU7oMSuEnZZxVXEGWr5y2xGdQv9j5oPl0HqJBgdfVQvM9/6OgErfz25XFv7kvlAUfY/QemzGfxGQaZ0eujjPbVtcEB08tQ35HjWRRLSUl9etiKidrlkBCspsj1qmKFxljQZ9r+/nffw8urMV4jEl5/yTKaXPXAnyNQB+cDzN52dTSh+TUvqknPOvLT1wlBPPOf9ISun3Y1i5eSnXv+vknJ9ZCORb1AtT1jbJIcgr4K+N3mxIOWgckawdBeUmsnPpqs2wEdMtUDW1iKZgXj2+TjS/NTqPk7PkwC9MY6WGuDMgV2+Q/b5o5BT3m1fgiD7517ZDfKkBmhE8r4GKQ1ftmnWiihJ/k0ZxTVzTpGVB4GacOujQcmJ78Alj/a7vaSqjhWc5nPqYLDQBst5W3OogstsN9UxrKZpfcEuGNNuaxrwG4BomsgyiZ/Q9V/nC0Ad1wY8Owg7Mx7TtSJE7i2Rg1smW5fUppXfJ7+/JOd9mceSnAPhV+f2+8dqjg3hK6W0YOPB/F8D3YTgD7h/fIlNnlx6YnYWp+6H46q3eviuAVxvr9MVUBurFNXymwVzTXuXxrEE7gCun6VppF2igyulS6PHRtoN7HjXYthuAkLx1RLHoClOf8FOQo5ZJHmcLYNt12O177PfATlz7NK8EmkKcDgVUrVIBwa0Z3ViK+VDXO9YZ09u0Q140zz6YaB1Tlsrf94XTdk1Y8x9p9Ayj9a11A8T8PMXfv8bBeuDgexm4MCrA0jJQH3WP2zVsv6/3bgTASX0pEEcAPilFfemHPYYJ4wa1AqZhZrKAp/367ceQWx2U/P6c8xc+RmLRWqXHO2MTwO/OOf+OlNI/zzn/Vyml7wbwjkfK3pkkwsy1UjL8kvbNE0G6fgBy929tmvKca1AuquF5x9Q4HVSVL/XFKhF/XOWtmYejRjvF08VWioJCNJBUKyp3O2B3MQZMQHfAZneDB/s9Lru+ArLUNsDlA+DyojzDiPfX2HQHbPbXExKQV1cwJS2x29W0wkUA4sAQ5vKyrrtje2O7hVOtqu2LdaFaLSkeBXB3E9TDIAjYTgPpO/c0fHDg82qBkALjBDTHSQL49bgfzn6/TLVVFqTRvlGbm8orAM5tg9l3nK5xq4fgXJ0+NPa9qZkEYaIDITR7vYU9m9xOE39ceR+AT5PfnwrgX689cAqIvzR+vphS+mQAHwDwhkfK3pnkmCO/at4qkbkV7mo4agbJOlk0i35ME5/SPhKmMoVRNP4IzNfSUIV3KV0H7TUqSN0fhwQ2BQWk8KnpsGHCbTsA9+UF8PAZYLetEWa/A65emgYC7K+xwX6WV+atsaXcERiS9nCtOAKhqB6cDwcA7gDWdHU98BBjjdMHZFI6mxYTFcR867a8GgfBdw0vUlPXgS7Lj/bNOVgduEKhLo++7H1JVLtWupFKkg8+x8Tdgf1ZVdBInz5dyU/TxfCdAL41pfS3MExofmiNDwdOA/EfSyl9DIC/COA9GOr0ex83p48qa36gUTVr+Gi5fUZpJNxDfNoPRToMxTuEd0Q1+zWcavDeSKNVjp2BNwGMn+ycvvmUhnPxxTj0afZdCRUottROd6Pqd/mgDtx1QHdR99y2HdTDZ18z+io+KAjbHYAXXwA++sLweXUN7LfA/gapu8HFrsNu31V8q3u+NM0AWpyoTBxgxgrIQd1Rg6YGqe9PNxGrtufFqF3uau2z2jAs0MJ1wNF3RsCl1uzL9j3evfHhfFekqFQTf/hwuEbOnu6QnCB2KsjpQLVOdKsEvedUkooCOONgnqO2qHt/NyhGgG8X7NtnuBa+tDfS2Q+FOJN3SkrphwB8GQbu/H0AvhPj2qSc89sA/DgG98JfweBi+A3H4jxlYpOn+PxISunHMExufvYj5P9sEoF3E1xf20uBjSHi0YF6Am0CChEfmOmF4BNT7JQR73nM5FPw0fRUA+UA477NCi6umdIcV1rCJy+Vb31wiZEaeTAAMhNuNkB3Mx+9drsBvJ97DviYjxnAfLcdALzrgA9/ePz7EPDii8CLL41oczOA+a7Dtj9gO8abhaoBhJtXuoZp9z1S3w9xdR02+5vBQthfY7fvcHVVD1YX9LffNdVonboOLfqp/nY7zAYWBV2KDgwEJLYDeq64Ju7AxXfXBpr5FL/EpwuzfAUnXw3B3ONxGo3zQlosB3Knh48p8Hx+05hyIn8EcgUk7x9+gHl0OMyTkfP5ieec/+iR+xnAt9wmzlM0cU3gGsB1SulvA/j02zxLSSm9EYMz+wbA9+Wc/5uU0udgmDT9JQDfkPPtbBd9gb40XpU0lQnYMB/d26ZMhq2ZvqHfMwq3O8tnkI/oFHUe2cXOyKO/VLuj1nixGzp7botHxdqGRUobsPOTU+Uf+Vbe2zx7OYD35UXRxFvaNNTCx+7VpCFzzz0HfOzHAq//uOE7Ce7uZgTebaFm2u1Ar3QdsOegcDNVbOpzoWqaZnj28gHw7DOjpv/MEBfRYn8zaPkvvjisw9/fAFcvIV1d40H7EvKIJKmBjNTb2roAkNCh6frJU+jysgyMBEYGJxURce+q/a6JUjtN8P4injyNVgknNknjqFukDjpTuSU9F7q/8tYaPeL7C0WHYGsauj6iB2aHj/C7CoEemPfVs3Lfa/L0OPFby61AXOSRaKmU0gbAXwXwezAQ+P8kpfRODJttfTWArwPwewH8vVPjZPto5TeBO3LnA8qEVu6LCTjFZxr40iRmZGISvH1JdMRJRnkC6tWQNP/1BPhoFajnS+kH18K3u0Gzplvhg4f15BgX++x2wz08fGYA8IfPjOredg56fQ/0h0Ezb5oBpKmFP/cccPFaABfARQdc3ATqqwLwONnZXwwDgyNI2w75Yfyv/7jhc7cbgLw7DBr+888Pfx/+8ADiH/3IoPFfXiB1hyFOAr++4L4fBqJRUtNj23ST9uvvSFdjsu7VvZAHC2uRff8SVQaUjpmmEPb1wEEr7CAWGrn6acBoa0Wionymf/EgccwRQwcXnwvg59IAMcWBAsDUxHVP/9tItMXGWSXfyjvlqcujgvijUk5fBOBXcs7/NwCM5P3XoKyW73HCAMGXTmkRg/exia1pqW5TPqMGOOP/RAtX8We0sx76urKj+HXZvK+EnEzkMd/aidx81tWOmh45bt0f5ZmHZZEPv7ctsLlsC11BIKfN3mzm/noQ3zxSL7uLYZUNLsa/dvh7cACevRkAV0eZ7qbmovqDmTnNECe1/E/+JOATPgXAx2Ng+cZjA177QeD1vwb8m18HfuPXB9693RRrgJZDk+qX3XVDnq5eKpZFfwCaBpumw2XTV9lTwKYrZ9MULViLpoN6tKVApOgpKCqg05Xw8rK4DPrzS1o/q9JPiwKKB9DSSUs6sKxp58dk7THeWwLkJ0ubrMhd1MRTSj+KGKwTgN/yiOlFjuxfjIFe+V8A/DKAt61F4D7gXGIfnWm5ZNoqRzfF1cz/gHohAiehgPn+HxpPxE+vhdf7S0vZOTBFA81ByhZtqKQ0irqpKZ9KAL94OAa+FPrk8mLQvMmDe+XyOzVbdbYub6B+a5eXQ7z7BwXMu7ZUet8DvaiWpF4ePjNo3p/4CcAnfCqAz8TgkfUQwAMMS4N+fRiVPnkzPP/iCyPNczFx5bMXMXrJzDbo7scX1G6HiddmX4E4KZV9WywmHXdmPHAA5NGcWZUFUQQ2TdkX5npfdm4kDcb4fPJWXxWVAXXbjAaCYzLNuUyZLpZtpPjMBhpgOszlmGgYp1CiTe3OKjnX7kivMFnTxP/SI95bk9CRPef8cziyP4CKmk+6LeySC2DUoFSWzL7K/MS8M3ocp/iQr5mYDOP+ws4tRvFH3Lo/E60QZL75e/hCvno711aPFSAqTNKuKp2BAwMBus/jIMECjDZXkwqFs9sW6wCvAfBaAB+LAuIvYQDyDwIXDwcLou+By+sh/v1YPpcmmKBtmH4BcvQ92rarFuw4faUrRteqRr9HABpZ8JwvIZ3CgYNb4TZNTKfpNg9Ms7Hfa/0i6kN0LxxrqdAiPWaTtS7JPoHaCaHKh8R9TJ6Ypn4XNfGc8z98Aum9D7d0ZAeAlNLbAXwtADyzjXcKdgCPtA/VaHQ5e/TcMXPRAdVX+0UrBCMFEKi9SFRTU829XbAwlrxm9NmmqbVw926Z3AhbDNrqLOAGE0+spswxlOrGCcZnGoyL5wH0QL4ZaIqqArcFAfsKborfOS2Eh+OEJp4D8DoMhuFrMAD5S8Mz+AiA3wSe/c0hmv318LnbBgg6gjvRsW0LtTPtrboZtfIDtrsO291guRA896IVA+Vdc46k0eQs+Yj+0rBKnWncL744aOAf/eiQhxuhcV54seytzjav7ULj8et8Lf6KXTngJCWBnGGo5Ud7uQBF+eJJXKdIY981TRcdGN773vcipfSCXHpHzvlNJyY7SAZyf1anxbPKo3Lijyr/BMBnpZTeAOBfYZjI/GPHHhor/U0A8Jmve13Ozz8/C6Mnbjtt4QA+WUb94FUQeZKsgfikmIkmu7R0nUJ8YMdYWqnn+0M3zTzeKK+sAy8706K3DbVuXbxCLX16oEkDaE0JHAZqQxN0E6dpBjDEOALtr4GrkT+fKmuMc3QlxP5aXo4Zyc4nxG9i5foIFdTg2y3QypkwTK/rUIDaGlAY9UAZXewGf/S2HaiU7W5Y7q+Tmkqv3CwApvqur7U5BWFuo9BeFQDvugHQNe3JOWdftHZPf62NL43V2mayADmAaq9/3eDN02pQPFIcHjVLt16DbvKGN7wBH/jAB565xSOhvIIV8acLQ4k8dwAAIABJREFU4jnnLqX0rQD+Pob39/0551941Ph6yIx2PzaawL1PQdxNQGIOge5YA48a9nQS+q7m5D2eiBrxPHpaS5p9FHeUv0jr5meoSPf9pHFOiEGUoDbeNEOYUJoRpNtBC+/7AaxbGwToTri/Hj45qTiZIvK9bYsmvb8ekOnFF4DXfBjA8xgWEb+EgU65Ga99dLi2vxndFWWQUACf+Pib4t7oKrC/lLbFdtygpe+H95774jnC6756VjXiyBtJ7wPLk5N8JVdXNaWjq1e7brjPP1oKzMeasF1on3CloCpbh9lhEsfi73vM9gJfA2cNq8D+RPcRHyXnuY7xSpKnrYkj5/zjGFYlPZZUfqxAte8JEFMjOhHD1ZnTnuQLjTA6bcTpjIi+oTjIrnUgDjIuDuYaXjstWA8G4P7n2jhQLJRNN2qr3Ua0cTthISqIjyLKC+mEKMN2N8UTZL8vQL6/LpOMU6GEr24aoP1w2cflImEA7gsAz2Dg3D8I4N8A1+8f3A2vrseVodcFLfss6XWTL3kB/THM9BLSOIg1E6e+bYcyXvT9BOIsIovtq055j9WwRPPpu6d0ZpwQqKl56wBy0w30im8XrO1miQ3T9ua7aDrF14/3W2sCfpwcMJ90Jy2iu4+qRq/Zq/bKt/xmu08t/5zyCmZTTtrF8B8A+MM55+fH368D8Ldyzr/vSWduSfji+aIrf9Me6PelIc225kRZ8gvYKjGZjJptgGUAHnUC38QfqLFuzdVUPV8Yv3ZYZy40jIJ5lG8HcWrhehYjTfoNM793G7orvDVgmq0Vum2npfSTX7nTM9SC9/sCpN2heI+olkzSuW0xrfpkHB9/Bbz2NzG4Fz7A8EY/CnzoeeCDHxx8xfcjiCtnwcHi6qXx901ZjDSrcLFAGgwTsf229Oy+HzxX2j2AHl038OWpAS4FQNUdcGlQj7ao9ezos/RT9zZ3LRTKtGJT0uEcdrQ3EIta0YJt3H7ZjlSpiuLzLWgdpKNtpD2M3/Ol+08KyHMemsUrVU7RxF9PAAeAnPNvppQ+/gnm6STh6NvIb0CW4ppmDpQGxBcPzF8+F2aQ71Tt17XtSrE0LeeYOChXDbCZd+61sxSj8AoEkbWgcXLb2psOaPc9NhwFmwZo1Heb3LgVmOBbqWnbeGHQ9MyNaODjdy7u6braFRAo8fDe/npYvPPhD497s8gmW/vrcW8Wzu6Nceniob1p5+6zDhh4N/NysCz9Aei2QLPBrnsBl5dlgvP6qrinuxHjbUAtqMjoOfTzauQyeT8JiScQ3XSDnXJAOUxlg6Hjtz2mc0OB0lcI7DR8lKIL+e1RAeGKYd+tEyjbUmgzJfjqNf5e0XdmAK5xRZhwDrnrnHifUvr0nPP/BwAppc/AmfeXua0oAHMbWRWe+MPAEcgxniW81aXJ/FyiTA49EG38v8R/T+lL+CXzdtK0RcuPOP/biGvfbVdAZtMMHXvb7Aftud3MH+wBNARcarCHOiNcXDP5l6eiuSpIkxefVjUJR+2DQnNdOPSrqwGkn38e1crLSasu29xWtrCD+LjcnzTWtIWuuwNpOWb8/mGqg9Q2aNseu3HTLO6VUq0zMutJRecwqJXreOleLNVYKmC+7wfNm38KjKQSCYaTax+rG5j2AYoOkNaiU3QHTsrE/zOPdj/ayC7aL8XDK4B70/etas8hOeNu0ykA/gsAP51SosvhlwL4pieXpXWJ6tLNKF5bU4gVwG9zOnZEoTC96JBYn2ic0l/Rqmd5lY7P30saUSTud+471fGa3ps0zCgzExGv2nRXwiuXHsVDcK3AVsB7BPQJWJsxXaLb5NWSaxWX+SPlogOBpz9y4DdXfQWqFw3zqyDOQSIVlNX0AKAb7zeDLqlW0NJeIp41n2vZSBxuVXl7mHjwbmjbe5QNozrMwZEarzaZSTOW9uXrDyJPrjWZXF5R05hrVAfz5nk+ZQJUdz08pT+fKndaE885/72U0ucD+J0Y6v7bcs7vf+I5W5GoQdLwThjY0dkqLtN6Ggnf8M/MyVOlH1UCxk/toWnKEmmfGHIvBMUGbzDspOp7vKQRLQ0CdEtj2Dx2VMVA5pFU0sZHD2AAOPLR5JGvXprTEbq51UxzFW+UEcTzvptpk5Shbjo0TYfNbl80fEdD5bNFuwbm29Xe7IvnBh/n4dMXbVd2RmR5dIJhd1Golj4Xfn18MdqOdJtfrpQF4nkTpyz4fduW98Vw2ia60Ttkj1r7VtBUoYIz48jlN9s0gNkhKcyb5p1tm3M7zn/D8hLtPsjvHQo1opSJy9L1g30+rjzdMyFuL4sgnlL67JzzvxwBHCiLcj59pFfe8+Sztyy2HGSmVVOovcz2OUEBfC7Zj86+jD51z2ntgOqBANRuWAeJO/IS2O5iTWfCJ5mTU59451L1GX7XjqaLgajVEch1z4+2BR7sqCEfMHlzKGVx9dKMkpjAcgLwmxrwWJgRyA/7fpp4I5fLAQeoB7imAXa7Hm17hba9mtWneoH4uxjqqex9wlWON7aBVdsCu32HtOtqKmmKZFNTKn0P9FuguUIk2nborcJHDz3Q+yr/fk6ZsQ2r9H2ZvLzGoDio9u2Y42M77xPQ+al9iWFI5zVNfXxhVNbKOsBcAweKFq7jKoUcPbdS7+1zqTya53Nq4ACGnWjvqIvht2OgTb47uJcBfPkTydEtJNLIZ3urCPA2GBqjblfbiqYUaRdLAO7iwAkUUHQNKlqN2fdA3pVrCtgUepM00sn9NJoZsyDqloI9ufDKDbwpi1K6Dsjd4HWBbisRjRr31UvDxOKLL+D6yk+679G2ezTNvtaAx0zpRl8E8P1+KOv1VVw/BcTnjIYOcNNxYQuDKrOirn9Aea/Uli/o2070WppYOVFcu+ZvWm3Rhmr001bxXS5vUAN4hDVqdVKcm1YAXwLOactZtsMjaOkAzvgnLdyUJ65sbXrUVoHkV4dV1eQ1r2phnENyHnSZV6osgnjOmbz3V+ScKzUjpXQZPPKKEAVoirvv8V6L+cpFoG6ces8b3JLoPf3OGfrBEW2Mv68P9tXTXpzLVk2uN2yJJkZ9ICBdQi8HHVT2kodpJeIeg9sc9xphwn0/aOAvvoCXZHk3n7+x+kyjE74uG/e0qYEzLqWO1L+duzBq/KqJK5BrPMxbpUCLBszrBPG27bBpr0fapsM0yUsPnUp1vkG4ba69C+Zh6b3poKu0V2rq8kzug6gnLn0ZO/tCtk/ecy1c106EZWC4flkbX5MGNX0ZnWh1YEILovnTLHDwUcA/q3fKXQRxkX8E4PNPuPaKEW9fs0OJ5V60K6B2OH4u7U2u4fW7a1V9XzoczV/mpQfQCDdN6kXBjnG4uyNBWhdb8DrvTXlpSt6cZ2f5FRAHS6LHFi8AHZfQHybe46UXBwcRPzVmyVpRKkfT58IUgrjGRwDnYQMO6lGcOjg4iEeWEdMBgBfbssPjg6srYDcibXuogZrxqkkhL6BZaS+eFwUxRuNtkVTT5DqIoR3RywSoO7NqqJ2E0fsJc+27GcNHyhDzQcBnOfRzkhZTHUVaP+vHFSZXjlyb9wlRH6ggvx/dbrK4znewzxORNU78EzFsHfsgpfR5KPX1HIadhl4xopMkM3dD6QQuS5ODem3SmGCrxvoYOCKzuIrz/2/v24Otyerq1u5z7v2+ARSJTCxksBgLnyTRIIivRAJqwBhRwUBhRgcVowXRkKTwUSkiWimBPNA4vhCF8f1AgoiKGvEZERkJOAKGEAZ1lAqCjzDzcb/7ndM7f3Sv7tXr/Hafc+93X+feXlX3nj59unfv3d177d9e+7d/u02HFUvzPVsMrbRIA4/yOLP863lLIWkFBzmpRSt0Ffm6BnYXNapqb7CPwZ5IulFDpr0Afw6uAXOAMSLx2bxfRk0JneXw9JVXvXGh9OS9lEu7/fX29noin1WL1cItrg0btE7jX3b3WsdBSz091ck5YYb56gYK572bYTf7Ev3Apfp+q7yQMHTD06XNOJdijuEgZ7QqFi1ffUWokXPAMwoiV7XvrN8+Hhc19LXVnU0s6eiY4/AG3FYXw38M4FY0kQb/M/pn/P8AfNPxZmtzjLkH1t0/+R4dVyMkdN9X2Tn+V4rlHV5T8rNA8+L5QKlr4iVdPlrGSxsTr0R13RMDSURJRyf/VLYsnJKkEq7nVRerKBE80OdTSdfJF2g9+LT3EVjT+qnauN8/l6uYvl6b6c78gfgF6zqs4UrgqsVzbMbfuZJBUdXoptvTC4U9OhKzWqcl1z2f4Kbw/cvCcXosv1R24MpA5XzVsIlkFL9Gqa5GU+z1nONQPY7SOyVantJ+vxXNovR/1u66Lef8krE0xzTx2wHcnlJ6Us75Z64n40cJXYsPEH3NjvNYDI7uhQ0IRr9HFlSJvDkjTSdQ8DqztnvJ37QMtMz3awD7Q+8XYBjvez4fVgBWbrXeNI9deave+q7r5oK5Ja5UDYlrPu+J9ep8tbK5DBIRtasMTrRRerTw2aNhQ1NJPvUc9jTGGgptkCnpL62no8/aY43M52gWXo4efOFmqyvhTrsyPRcxBtrG0axXbvs91Evs7zfETRL3Kefdu9Z+ah2oEU+M43E6cMh02EMsxS1JAHbad0llPr3XUV3RMio6YwB9vXVS1npeF7aJQhtxcBzRtPvS8pQ557faoT+Zc37Wpuluool/UkrpVy12yr/JOf+7TS9yHKjsU8EXW7uICr7ItK51os7KsYU3wX1hfWozfdWruu8Sz3ab7iXfOI4Ws6Is2uM1GBe1w1I4Wicw7tNPJQm3cLl/Oe/JVAdQS9ZSyZVP80Sij4jWUSJ5HVQGZEaixSTxc7wB4z6P9KchXjmY6z2CHXrozHd6N4WuW5JXLsZGl55Dl3abxlCJLVfx/dDG2RvqRR17ZAE9+Q4WCEdP7lVwjBpE7ltdAV2MIsJnSVbordRalo3TgWfmPUIkhbFxIlg3Sj2MEtkfJTLCztZhUFqe0kn8QNiExJ+Qc+7kkzZ2yucCODUSdwIfWx1bOUi7i7pfu3pesXwAR4/hdUje++j9W5doVn2s0RKzujGKewrfja5hicopRBZ5ZET5hpzrIQSiBotWL8lb3SNLabu1qKCVTL28tH5jpI3Oql679oYk1/2M+0iPV73ctWe9J8wj83NNSFut8VQBO/viobO7i8YvvNySRmuvsgFmz0LzwW31lIrksUGa6CsviZmGgxLzLvp3ai6f/KN2XmG1zmgDERFpjWEd2LHxl5IBEC1xqOnwU/MA2ecNj+OoIxji6AY2S8tTOp6UUvqHAN6OZnLlnwbHdNiExGcppUs556sAkFK6AU3cz1NFqavERp8P0l2m/LxBZbHP4YGr57c9yW6a8x6GkxQ6q0cs4u7F3gdmdTzyznMdWciw5AvdlbNAYK7FqrVOEovI09PV893i5/5IYx4D789StumFQnBA9cqVZkGEPXF+9d4KiVFJfcX7QZ4rCfwDe8Cl9q+um/NvwL1AfbmxxHcXw4dZ1+iCgO3vD3oJ1wrPR6/NvO3Me72+IyohfR5OC5p/SuLz9lh67szqnvB5Po+lNU4LWxWDHTtOSb7Lv31mALUYFdrzAIYzcZW8r+n5wXWiXsFJevxl4CAuhg9MKd0h31+cc35xu73JGhc/B+DHc85XU0pfDeB2AI8du+AmJP4jAH41pfTS9oJf3iZ8ZqB3IbJkI99Xtzr8hVz3zJzM+aeNCLuGCwyJjqSaFkNJpgTvkip5RzMTdWFnWn967phEooOcHqbU9VvXk7lfrxUtCxbp5zy380BRWUHyxxVr7rkHuOdK36mp0Pjb79R9fphW9ryZta7yz/5+M+Ho6h7wgSs9iS5r4NL+HnZ29+Jp/4tryHv7g4UYOPjrA8DeoA28Oqq+Uur9nVVDWQSyfQlDF0xF2geqBQYr6HCmcqXlR2O1q7U7l3tW2XMj4fpszF2gGftZ9PIKEAy+2/lK3swDfcr1HP1dcZyLQhzQEn9vzvmRhd/uxprlKXPO75Ov3w/gBesuuJbEc84vTCndCeBxaO7rt+acf2ndeceJiINKVnTJYvfzonOB1VH9yOVq7HrdixeQixLImGsioySSjLsBPfQVoZvA1JJeEn4BZNAoIGiF+437AJzGgunyhn7foLeh90VIX8tNqUUHcenux/zr8UqS7PnQMk1oCEvzUmpgojdfLfF5u+wZwyFc3geu7tL1cL+dkdpbvOpyyb/SwgxjZM4yR3DDo5NQxAXTOwhVBcz2G2+jSHbS51LyIuFvFdCvoGX5qm17juaapfoXEXhpAHUMBwledz04Ik187fKUKaUH5Zzf3X79fABvW5foJpY4cs6/COAXD5TdU8DmjeXh01ciV1Tyh+D3Lg2zhHV7zPp3HZHGtQ5I6UIZfk0Hj/G4MgxBGsVnmbceNlWFcDmu0EIqHKt5G1hpde9O6Fb/QaQZpt2VazGMABit5NQNdoo2Xst90OM4aMnvEYn7bFSVV0plKO3rejQYPuMKq8+J2wSt89IAY+kdHJusxGyqRU4s0NeTlWuVk+xwWAKPrPajQM7le3ewdOLlKVNK3wLgjpzzqwB8bUrp84Fuiapb16W7lsRTSp8C4DsBfBya3tIMwL055w8+bGGOC6rbkVC7RSLs2HVyibtW1fabX5dd2105RqMpRquZD9IYebsjTxh/0TWoUJSmds2pVdKVkPvHuvl0QxyztKuqsfTVygN632jNB7ejmZWqpfs0eZIik1FpYMfKvAzKlmt0sb6jQUSVbID+XvG6/bT8/lr0wPEBVyVu9VnX/KjbZ9eISIPNNFZmAKN/3zljN3omLAO/85rRsoN6jO7Xhla9sFxSqbEqrdCPXQfu1dDxAcxSnXMogXcGSfvp4QeuF0e5xma0PGXO+bmy/Y0AvvEgaW5iid+Gxuz/aQCPBPClAB52kIucJLRVdgKPiDyymLUxiOATDojOrRDNC7wDGUCqhpXYNeWVPFhmGVPCK0oEH8xz6PUHsm5g5aoVvgzSZBoadnVeA3m+qs/qOSQ3tVZZwTnIqutG8jw/9hLQhVHdCSQCHTPQwdud3V6C0DLVdRObRAlwsQAuXe7zwwWxCZVN3Gum1HPQBROc7F1uKbkXAu37UA9lMH1u3NaxkaVY9mNQmaWWd08/PWoiSZ11SMl5rC4q6CxQgqejM03pRXPUEyy3dcZmh5zzO1JKs5zzEsBLU0q/c8z5OjD8pVACr2y/wuM6wL7TQPT0NTJbjX4Qhhb4LoDdakiowCpx+8xK16vHLPRSfjorZY3VHHmaDJb5Qk+qpVl2rvPrRBdgqM0rKZH49vaAvf2hV8+sBhZ7WAkRrJOq+NzoKufRHIGe/Gq0z7EG9veASwvgBrHKncipcbNs3YDnbj8dX634SE5hkKqoQeT96PJosos+A94TJsP3md+XaOWqRW9h+0Bp9A4w/ShW+LrgVnQD1N6QnhL1fJ149T6o5wzTg+3zeuzkrdc5DiI/wMDmiWMTEr+SUtoF8KaU0gsBvBvNsuJnEh7/wffzN2Jp2zpo6RMfHHyRnVDmaAhcCQIYdqGBIVkynVmNbvBICT3qTisqyUfm+TVWLDL99LjoJHGSXkccdT9gWrofFXqZQa+hcggtzJUBPzTBnLRsGcC1uvE28ZmH6gFUYVW+4fW0+69eLIsFkK/098DJX/V3yki0ZKMeAvcrietSbBGhKom7j7rP/OX99fuu7+sieG921vSGauZDn23Vj4uUoJ4unifmk70jhxoFgPQY23xkSV/T7QyK9rvP3CaOI4LhUcopx4FNSPwWNPfrWQCejcZF5knHmanD4Hoc/PWBl0bI9YX0rqMek9ATuOqm7oXi5E3rhj6zcwCp7v18eT2Sq5MoX/IMdLM+u/jjlbg1Ws9ANdnFoie7PckL3c1YMTU/Wm60McEj7xeSFD1rOvKSdNxVNJoAFc1YjAh8WaOLL7Joy8MBtxrNvZ2LbOL6uGr016ohiasvOq9FTZwN09W2a8FQsh4XnPn073wv/L1S65XH0oLVPwCDWb9uha/0pGCNRd1fLyJyNpwsDicUDa4BeSewSrZRRFAaHZvU42ic6zgN5QxsZzxxIuf8x+3mBwA873izc7QgsfETGH9JDvIi8OX3iTo7GM68C89tCYbnL+SP0IpAXd0tf8fA1RBowmBLHlwS4YDVYtGQzn7dh8ml+17dprXb/nGWn4IkX6OpiItF4152FUP5yH3b2buoMLQ4dZIJXRq7nkhtoQ3mQ+t/oC3LfWXYVr2/s/0+b/wkMUduj9yv7nw8j7+pBs/zS+MT/D6retfPqn3Q+hx1FirB3lwXIEvKt+T9k56AoouYiOE7CEiEwzoY/KybdIE+f/79NMBX4ziscCa4lXJK6xtevB855793LDk6JDyaW8mfW2UHnofguDE4gWvaxXPqnrjU8qR1raROaJdUpxqPvaQcVFrKNWshk0jT7sgcveXKGahM08cYSnGdNd2q7pfzci+MbrCxPXcu6XDmofdkuIhzR3CBFNJd3+6J7tMyzm0xDLpcDvJYYRBF8WpwL9WDg+dFYxsupyi6YyDyQRU/N0CIXMrJetC1eQUiJ1y20MO65fYMO3JOZZ9EbZ+Da9Zt/az6cmi92BQnyatbSeIAPu/EcnFEiIjct6PBTu2KjqFE0oPJJkyzXp0pqaP8tA7VEndLm91/nV5dgleq7vtCovdJITW2yd4ecKUGrgC4Fw3J3YOGxGs0MWAQ5GNgLVr+tOweNZCySqp6mQYwDxeZOq/W+1X0UoEPMmpcEr0HzLcGKLtXvl9qJZAoTjnQNBS8fzuSL2CVyCPCjAYYdZvhWrtntS89RztXyYQWdWX76T21qBvZiPdLB9MV+s5FrntdPuRaKu9ERM9eANOP4IP6teT9oJx5bFY4tlgTFxllq+AP0V8G91uN4M+rdOxgrU45jjFOXHvmLEu1vLUC8do+gcJjXUR5c6mAlXtRD13mOqu07vVbEvj70ZDbPoC/QaOfoc2LTsnWMusCA0qCUSPmJDKrgMoIO5o+ruFolSij9Tbruic35gvou/3A0Nd5rz3uMpoATpH72iW57jKw/CPPnWhbLXuHepXMxH9fz+O2k3Cq+h4KjQFa8/4uqtXrkgrabfcW0etka6R8gJLXUOj9VA8g974Zcy30WxZx6nF6AW61i+E2TfZxuGVL7GDVai8hmtbr26zsaoVXAPZV5G7zcq2QJ6alFdFlHx9YTIgtKB7P61WLYbS/gVscGgK/goa0r6DZ9/52m9e7D/pJFJQ/usFOkz668tZD0vEp3UrEalE7KZekB7+uBlxa1n1UPW1s0N6XPfSNFCUcav78uyzn+fiCuw7qikORde551+2ImAlKD9GCI56WgqSIuvXbD/LuE9r03E3RrZtaB95O6BuUEmjM8Lq0xiPou11alu04cJSLQhwHzt1kH4L3XC1bIiJEIHZDdNL037mtx9XoX2LFOh2dVpDq2hkNEe9g6PK4aT6XaCvz/qpr4x4aeUIX3GU43T00kkqFhszY+PCadKNUK1qhg4PRvdgRElZPnojA1QWvI7xFb7W6hwl15Nyao3ptuhsu0ZefuISGyC+jabRSu28lVkiNQWMxGLgUq7u0aIXnlcfrgO9AipDtld6QWMbqv83BzW6eQ71qfDjBqgXPMRWWzWUPyVaXnu7wvKoV7ukABxtfio4/VhzRohDHhXMz2SeCvmx1sN8H61xqUSt7TJOO9ns3Vffz+n5eJb/TXzZyqRvLYwQ2Chr3hHlQq6ayP2KB1YZwjqF23ZVPCK77jlV5qBTsS138fFLQspZQvMxz0J0nOVJmAPr7o39Mhz2fa+j1f04ZZ36TWf1j1rPOvNQZpvrcKwylIx0vcG8ToL//mgbzN6/7d0bfO2/8u2tXfW+R90UnW6mk4nq6DsCvkLjA33EaNuHEI/sexTg/TeS85XIKtmyyzxiUREpWCI8jaTvRjw3mqAUVvegIvkOuw231vWVl0lgsqo9HHiNRz6OzssQiS3IdlV8SgPtJfikruLbp/tJqbY5FZVTZiRNqFNzPGYw6AWag+YqLYJQPar/aRadkRbdJWuKRhJWk3LpIBa9BrxvmoSPhRR8A60rdu20y7e45LloJh+Ww47wHASkHJSCd4s7jBs8bq88N/LTno8TL++aDkzqnIXKxdczkd7fWIb95vJNlsO80se1yyi1o7uWZnuwzBr6UtGxVlnCJItLKlcCjgRwi8hQgDvIOULOntKJeIfzkg3MC1zyPXZNpAT2hLdDIB7n9ZEVmHBi30IEhKaifdYRST0EXuwB6r5mOwNHLArQE6Q00l9mUpdmJ6j/NrFFO27FjtVEc9HZMMgrdGq0XQb/7Pbs2G2k37vhu6iIJg/Rl2w2QddDju0ZTDA5twFRS0WfujYqHaY6gaWiD4nmOpskfRwyUw2DrNXHxUtnDlkz2KVm7kVXsswK9cijxqBdCVInpF62eAo4xVygSiFpRrExK4pH1rfmMrtvlUfK9i9aixNAnnQN897b53EWjEe+it6hUXlCvhXDgTax/HYQEeuuV23XdeNNclck6avGpDFShsdA9umJnFderUfeAvhGkdMKxAGB4L0jyql+ntjze6+AkJw4Y31M3adJVUy18+lnrM+a2lpkoNX7em4zAd0TlG+ZZocaN3gevMx4Aax23eS8hgsY7cWv8TGBbXQxTSk8EcFPO+bva768HcGP783Nyzi8/gfxdF1QeWbEg28/I2nELnS/hDH2XOhrIA/oBtWgKcURGvIaS9C6Glk5kgXnPQRuH6JzuHtQ9GbFCz+rGoiWuone7YwNC740dNC+Nygssm94TuvnlGoOFJMb8q0mAH6j7af8l75vuXMRY1n0DyHTU2lQpaYFV2YpuWGyw3DVOByK5P1VNL4IeP3vo/dFZhpldk1Y33zMtc1Re/Y1plKCziKNJQ3zH+KeIpECmGfX8xuDa/ljgquirhgZeAAAgAElEQVR6pTp6kthWTfw5aLxSiEsAHoVGD38pgDNP4gpv5YHyy6jWHuSYbpq4WGbuw+vwHoBa1wS1zTn62Yq6WIMOdEWNQKSH6vX1c0f3tWWYo5mRSHOUPu8aNEp94VVecFLotuue2DyyHq/d5V+Jse6tQp0KruXQsYDIxVG9NaK41ywPJStNn42XNljq+07yviYDkEAzuIi6n8Sl1jTz6a6OFYbPyzXprnztH+8HJ4hxn6ZJMvTnPjZpKEKpvkQD7WPfCW+YaHgcZrr+SRN43mLvlF1bZfm32/Xf3pdS2pqBTbXG+bIrOa+z8NTtr/utji1xn5Xp6eg0e6+wOuPT3fa6RRLqVasyiuusaSuBzFn2WjR1kTeWYpGrqyOwvrL5AB8t1q4XYASuZDL4zfLNfT5btEJrLc9X7xfQXD9q8HQQjfeb6QMNcV/G0G9cB0wp91xbDAOEqXXIZ8mxDaC37KPJWUREiHoOz2N5rmE4oUmJNyJI1/SrqpnRyXeD57Cx1vsT9RxLBkPJSo+IfB3OggGctzV2CoAH6Jec87Pk6404w4heOoV2byv73S1cWjtzmMW4GFriHngpsppJvCRdVn6v8MCQlLoBO/pJY+gWV5IMtHy08jtPE+lVEFyMVyuXNkJqOboroa5Co25yVT28dyXyptfH7i66HoEOYipRadk8uNRKvqQsSqBK3Aju0WX0s1CBYfCu/XroJcPzq6qxyJmGNoJK4rqfaXhPA1hdkd69VthA8ntkkLBR5/PRe56qJtRvxlA6YwPp+aKxMTbmQkSN/hmWlddiW+WU16eUnpFz/n7dmVL6FwB+73izdfTQShNNrdbjIqmCFnTVxv3waca69mUUB0W79LSaWWkyhlY0B8qAVYuflXYhaS2wel2gD2BFnfdyu30JwzJqY1RLXqLp/+y+X1s0VrtaqSoz0EpdtolqDA9FSZrC/lCSKPrAB43qYtHfh5I1yR5W5w+NfnLPJQyXetOJO4yGyEZYy9FFU2wfhJI1G2qFDrSu8/134hwb5yFYXs7cxGIob83alqtaBJa2DYLm9oaOGaS8j9GcCta7TXGWCH+bvVOeDeCVKaWnAXhju++T0LzjX3DcGbteeKXV/dH2pqBE4Iv/ksDVMiKcDEfTB1amV+vEGWDYMKj1XWo4dNKKEv1KukLknpan2zVaLbsMVqSRazKinpfJSVvJvPsrVBw2frT0/V5xUNMRPW+VHXbQ+4YrOiscq54uTFcHP2nhAkOZgsfWKMsE3jNUsLEvvUd6nvemlkC3cITW+o7I5YZFA/f+vke9glJ+SO5jPKjpnTm+3FY5Jef8HgCfllJ6LICHt7t/Puf82hPJ2RFg7MVRC8k1x5L80nXvjUwJ16RdUimN+PP3a7x2DSz2mwHO7veWRCibkIxLvroq22iYAdXjmS4JlXE6tFGIfJnZiF2VeCzdYsAYNiiUYLruA1bjnTi6STUyCSbq0fBeYb+3MGkxj1nw2gPSy7u1vBDrkwOW3ki7Gx4t3CV6iczlDb0/xNhsWw5klgiOxF9Vci0+FwzltgrA7qLxoPJQB6VBZ07IqjAke33PNS9R/iIi9wYp8pA5C9jmgU0AQEvaW0PcjjF9vOQCWDreX9qSFbJOP4xeTr7kqrVeq4fdafozU0JxQqHbHKUCpsVzWZHdJzjSkGfoZ2963jsrfYFBTA3mSRuCwQBb24up26iKXDzaJRWd0s78a8/AvYbq1sJUclSpQj9rrH+mFYbT0Nt2YjDuoBVn2d6LaAIY5Rxeh3nTCT1eCZ2oeR+ZhzFy40QezlVw7xzm5XLdSlxVT+Tak+g8oxbDhskzt5RP9o5KUo/eA92v5dYG+yxhWzXxc4N1sskmL40fo5YeK75LNTWGfq76gpaWmFrYb06IGqxKLTMdBKMFyAaEroIeN8QxkDcwfDncyu8ap3q4P9u2W/Ndz6clXvY+nEDcEycaZ9AAT9qjUtc+va7v43clcm3gmG/VwZW0iE4fl5C/kdXMvC8wNBY4cM5GHBgSHvOk94P5ruV8Dang13VDskKjhe+IFT5YlBoohk0owQe/eR0nb23ctVH1HtdZQQa2c7LPRYBadAd9acYGoYChB8SmjcTYwJT/KUkwD+pTzAYE6Lv8u3JMN1O1Hn7qQGDkK8zGQBucbL/XwTbJqQqOB/pueqqH1r564WwyzZsoua/p/rEJLmr1633XZ6mNJBtcl9rGJAKV9HhNva7mxWev8tloD22JXovXPGjZ9JwF2gHq1jNIY8Ew+qJ6HHnkwahMDLqlE6gU3tB7Pj29M4Ft1cQvEsYGmcb2+xT4gfsceitz00bcu/oKWnAlbbSbWi1543eSDdfJjLwHFN4orZvNN1ZR+bvfByerkgUZWeHuXeRhhaOxkJL2qulGJKoEqlKXWo068zJyK1UwFrvqxMCw/D6YrPdbt69i2ABQSossWwet4cGScu2LorNnfVBXe3gKbVzVcyeS46Lts46JxLcMUTc8srx1duXKyiaLzaxwvhs+BXmdpenSjZ+v+edgnU5kmVdYcaFTaN6jMnQkgFWi8rw5lJDcuo2urWTG56GhZTkhR/VgWo2et2jwWfc7gev1WR6fQerlKskC2jMiXIZzOYV5VKudDYBq6zxH308tV9SrouscPYx0chkHqq8ivmfRVHjNg45JjL0D697zs4CMSRMHAKSUvgTA17df7wHwNTnnN7e/PRXNNP8fyjl/+0nlaR3GuuRO4D6dOQr16dBBP5V2KtvvM029EpXyqRVIY4LMhfAGMyyD8yO4Fe6Wmev9VbCPx0U9FSdw9ahhmVgernjPWC7qsw4rk5OzWs0RgRMqi2kP5xJ6y9oDRkXp6MzZhGEDBPQWL1+dfUmfkhLlEL1nS/RT/VmhdbYr4VIS721lD5CTtTj+UiJt7234IGcpH/zONM46kW+9d8oR4i4An5lz/quU0hMAvBjAo9vfnoomLsuPppTul3O+5wTzdSy4nu6XVzwOVLpuHlnIOomIcNnHoaECvHHQrjk/dV8k72iYArfK9Vw2TLp6upet1JPRBsJnbQLoog2W2lLXnBFs+/W8QaQsosTs97fkfseBaF3Sra7RTSbTxo3kvSPbUXn0nnO8ghjrFaobIeUVXUbQJaIx0tXeEs936WjrMGniDXLOuhrQ7wK4Sb5r7+8gAdKOFZoZt5pr9Nr3EkM5YmwxhLHKxN9J3Hz5u2h6GEoQtNCiy7HyME3GDNfeA2UUXTgXGFY411j5GQ36ERqnRQdSXWsvlUG9HBD8rvfLXeRWZn6alaneQVoW/c2tft+nvRr9zud1Db2Lp5aH19Je3KXdoa/8frs+Xl23M2PRvzN8Lmode+NK8mZ+vEGHHK8NQiU32QeRiUgm07IBceUtEfg2kfokp6ziKwD8onx/BYA7APxIzvn9p5OlGE7ksG2+/K6NKjmUiNu1a0BIl2Tb7t+tm79r6P3EWREVJH1Nl6RawdzI6lV3PgVJTCUTlx10EgyxQD/I5vlwCQHoSZf3TQcR1feceVohF7HEq2ro25yr9pz2JJ1mr+truhatkpbHWKnQDxC7rMbxENZ5dSckgRNRdMfBPdkf5oWESYufJFzqJZV6bW6x81gnYB2A9TR8FnAkl/i+bbXGc8bkYqhIKf0jNCT+GdyXc74dwO0j5/wwgC8CgPvueASK44c2wtGL7C9/RNpa+Xy/Wqrdsa2VBgy13v39xo2Nvt9RHpkHdsE7ApV4GEBP4Kp9+gAuoQ0ZSUknHekkFNdlfSZkVfWr2xM685MaLUlkDB5Yi+nTbU6tXLXU5/uNO6OWoTsOQ+uavYdIE4/iyy8xdNUENicvzfuyBi4t+vxFPaJoPMKvFw2yegOrIYoZekB7TOxVqYFCgveyel5OE3fddRdSSvfKrlfknG85aDoXVk5JKT0TwDPar58L4IEAXgLgCW1Y243Q3vRbAOChD3hAxl//9VFntcOYJgr02qMTnh4X6aA6OOnaIivBIK61WGi6Ck5VAallXa3ArFjaGJAENZgT0Es/CyEx7fqr9MF8esPE67Gb75NXCOrjA63dysWy8TNqAEuNi58PCFHP+/283mzeNF7zOZD2+hWEmG+VI9T7BVhtlOgR414+0dgCv+f2b9EycCn8QFX1E3GwGBK49kzG7lOJRGkRq+TmPRBvgJy4Ha6/l3DS1vjNN9+M973vfdcVOptePGcVx0ri7apAXBnoI9DIJrfknN9+nNc9LMaek77klFgisiHWad/6uUl0N8au6Ky0xfB61JeBIfm6NasRFynN+OIPJAAOOHrvgxYgf3PvkSiUrevakQWtJOhWpjd4SmoaDjgiQ6DZvyv6c2c9X0EXQ/0qhs8kssT5m4LrgzIMsfuV8575JClKJtG9YN6VyPU+MD/a8Ku/fLLjSlBSVUOiguSn7vNP6WRMHlzbe9rgmLOGyDf+rOAk5ZTnAvhQAN+dUgKARc75kSd4/UPBrWZ/Af3F1W6o6pg8Jtmx3K9WVI1e1yVpr8gwrUmkXhFKkpoe0BIGyQ69BLKH4WQglWGULN0KVyLXsqkVpw2InjMPagQjIO638g7zpcuXAb1XiKa5v48u7rcG9OruE/pejZL6zi5wQ926I+7192YdeC+6qICIZ9VqT4Vl4D2gMYAaTbCz1juErpIl1JKOP2Ml8GjeQMljKEKUB5bF3zPYd98XGUfbROTRIO9Zwkl6p3wlgK88qesdNTZ56bxybPLg3aqjdeuLTziiqHLeLdY0ddsHDYvWmJDhGKJFDEoTljoLuyVtdWvjbzp4qzM6I3mgayRb9vV1JCHlKFm8PGZer5KUXgeIe2HaI3ErXGUulSRWZjVKgxDNO/A88X6ob7rfI38H1HqHX78APpfIV9yhBH6YUBZnGROJbynWPbh1E1pK3c7SZBgio+na1204Wuq7SkaQc1XX9Mq2tH1KMPvoPTQ6v2X0E2iYPoTcXF6p7Dwvi5ZTfZcX6BPUdEneUdjXFRkDQ2JMi9X7qoO5apVzgpPCLVtmsQS9z7yvmm+975F3DV006Uo4b8vQ9YLa/HKVJI+7wsHiKI9V8KlWPPdF7y8wbDx86b8xGREYzqrN8vtZJsIxHKUlnlJ6PIDvQHOrX5Jzfr79fgnAD6FZu+F9AJ6Sc37XWJoTiR8AB+0Cqh5KjAXOUrJjd/taDexIdxsYkk8V1BC1GrXiqV83SZxl8kZoJgSiA2laFp2NpySO4Fit+Ndsv/uDqxyhLp7aUEUyD4/Rcuy2Ywec0KSaOQM7qY+/Dj5H+VePpFnwe+k7wfJF1q96vszQ9AxIhPoceS7dOH3AHIhllZI1PdZr4jusA9/emIwRnFrkm/ZOzyKOIt8ppRmaMcLPBnA3gDeklF6Vc36rHPYVAP4q5/ywdib7CwA8ZSzdicQPiEiuiI4pao3yGRE4od3tJRq3QkbI0zQGgfzr/vgo+p66BmrFZHozSxNoLVY7vrs2hp4c6kaoDQfv2XLkNz0P9rv2aHRMQXsXCuaNgal20McCoUeJSjh+rk7UKeWVedIxAP6u/ucqp3gZvawsHxtDTiaKXFi1nJ5PpjPmZeJhHjRdz1uUTz9OoQ2vH689gm1BKejXIfDJAN6Rc34nAKSUfgLAEwEoiT8RwDe32y8HcFtKKeWci+rUROKCMUtBPRN4jMaq4Pmuf3rFJzbxoeWLk9CTr1vN87onpgpDqWWJYSxsIiLPUG82GUW70hr7o7SSuw+E+f6Sj7MP1ilKvQumqwRHX+699vMaMJiZqNdQzw7+6YzG0mQglWDUs0fLGPVOxu6FxkjRiVoRoSvGBjm194LCcfpd86r59QaI50D2sxdZwjYROHEAS/yBKaU75PuLc84vbrcfDOBP5be70YcegR+Tc16klP4GjUPIe0sXnEh8BGq5EN5N9q4xK5+CL0BpYG6di6ESlZKn+vnq9XlNyiA+MQh2vLsEdosN133jQf2ZcAJXK9zlHLdk9Z6y0iuBR0SiZXS/7qihIDHz/i5ln5adjY9OiAJ6stcy63Pl8T5RhqStE3Tc+lVNnHnmfdY0avT3VaWrMZfBSBojfB4BMN4bBHqpRl0VozrhVrxr8tuMA2ri7x3xuosowNu7TY4ZYCLxDaAvsFY8rRQabXCTgZzS7LnIWo+eYI2Y/HUAzK1opq9dWiUy5qVqT6aFGF2fRFFhSGJK1NqQRFYd79fYOAH3a/l0AFQnKvnbz8UagH7gUK1ahgFA+8mp+hz4THUju6gHEPO+I+lx8HTZHsvjeW+VlCMjQIlSZ49qg7BORvIJSl2Poup7Z/qM1sl9uu2NvEtdmpeIgc4DkR+Rln83gIfI95sA/HnhmLtTSnMA9wfwl2OJTiR+SHi0NmC9laTnRuepVKOkepjpy9FLV6qgXsmiLnNpQGzUPQ1Da9zP1XxofnwKuKNkEfq1+am9o2ha+mC7Go4JLNGQst8nJUl1CVy2F/X5AHpuFClSPTqYjlfOMSLxBp15Y5m0V+G9N017E726FAGSaQOb9TC3CUdE4m8A8FEppZsB/Bma6K1Ps2NeBeDLALwOwJMBvHZMDwcmEl+B6+L8Hs18UxcxPV6Pm9mnEpBXnMiaj/RU318qh1ra3Oe6M3/3aIOOiMQcLJNGWlRL2dOKuv26T+NuA0MvGe8ZsUxMVwdzIWl1gcDQW+JdXqRQvvL7pcVwRuccfeArJX6GkVUJR2e+ak+I33l/3B1xjDi0AdP7p4PTg/JIgmGwLUubeSw15OtILTJottUiPyoXw1bjfhaAX0LzqH4w5/yWlNK3ALgj5/wqAD8A4IdTSu9AY4E/dV26E4kfENEkBo3lDJQlATYGOhDn0Jdfp9GXmuKxiqEEHg168RqdLGC/ERr3xX/LGIZLJYGrrOPo3P8wbFj0t85fHUMSpz7fueFZmfSFds8KbRRUDhnIBfUqgXPq+84i1uh5ni6uEfnSO3mrwcD8bdJQu8buVjsbJI1WqeVZyTdWGwXNlzeeR2SVbg2O0DsFOedfAPALtu+5sr0H4IsPkuZE4htACRgYVlDXtr2eOCl6N1T1TZ35GJ2r57m+SZc5BaUJPZ77I7JkVD69GNNQwtA8s9usoWxpudDaBeJGTolcy6c9AhK1ksqO5CPS01WuculiJn/eE8jtxUnkei8Y1pYTbwD0a6kuek08WlxDEckNkQeJ3iO/P0v7PubNo4hm33JAVa1Nt7i1dxVdx9/F4vXX/H6WcZYbronEA7ikwn3R75F0wm0llihd18Z1Px+MD5Sq90XX5a3739WVUAkuqoARgSdjDFrgJFIddCvp3IR6VkS+0CptlNJguTTvM/TkH1mubt3qeZVt6/1NIwyzIkHwsx3IzC35q8eM50tRcvvTHhzDCI9Be1ueFi1wbeDViNABSm8c1GBReUx7Yx5ky5/dpImfDCYSL2AdkY/BNV8HK4xXKEJffq3oaoVzEou7ekXd3SjGBq9DzZYE3i1sEKBCX+n3MbS+2SBQ0lBPEGDV2lMi8MruA5elxsLlBz2Hv/nsQiAm2LGgU8CQBElmA7fIQEbRPPl2aUDWrerSGAUwfLd8kJ1hbnVCk17bJ375fXRrXxthYPhsS71NYDXv22iNTwGwthhjlaf025jVpeTtMxldAlAy9saA1rN3f90Sj/LGc9wrAkC3SASAQeAjghYbw9fqij4aAZH+42otq+SiBKh5gxxLRNYqGwjNFz91kDDSiiMNmunnWno6lRB33TRsGoKgpI2PwQmc70DU0Kic4g1d5InC9AfPy55hFN4gssL1GtEAcmSkzOyY84aJxM8RouA+bmmVLEtglaCjSSAkFp16D/SVxq+h53ll2xQewlW1UG18fJ/mkflz7xLVgYGh73k0LXslb/a7e6y43l/Sa4loEDGKba7bOmDJTzaklXwvIXreUdm0UYms8KhXptBB9oi8+anP0/Ok5yL4rYRSndh2TJb4OUbppY1kA1qwSoI+lduhLoyDSSnBsZE15RZvJD1o3mmFR1opyUErP/NDy3gXTS/hvu0nNfFohXaWnwSIkXLxN5VqNFSrWpau4fM+qNVY0oG5M9vYABd7aNcwHjRmbDT0+UQSGLB6X7mPiJ5zNPMSwXd6CfGeew9K92keXL9n2vru6GBxJH9dBEyLQpxzuOYIrBIqK72GT/VzgPHuOclC9WfPgyIiLb8OK3LCsPHRNTOVtIi5bd8A4D5t3i6jJ9rSIsi0XEuyin9XeUHDy3JhYmAoPyixRo2XxqFR/3weUEm+2eNQEme+ogFoYLWHpQ1gZOW6rhzJKF4GB3tvzA/zodfhuaV3cGysQo+JGpFNsG16ODBZ4ucaYy+uWq78HrXm3oUuVR5W6jli/+nIlY/X9UobVSQnmMgSV+t7F/3g1i4aAr+M3jLnWpYkbBKguyIqSS8wHDBTdBJNO/iqk2uAYSWjNb5j37Uh0+dBb5no/vAc5v8qVns4u7Kt0tHYbNOSjBR56kSad0k243tSuo4ep+WN3kEl6zH5RnGWye56cJbLNZH4AVGqFK6LA6sVQK0znQHqXeiSFwUt18hroTSBhOlEsS0iiwpYT+CaV7on7qIh8QoNwXKQlEutXWk/dWCTMxlJ4JG0UpIUONio61oqSWtcF5Yjeh4ly9Bd7BirhY0d77M2fpWdv8Tweeh+9nzGSFtRsub1vpQaP5VC9LiSb7qOZ0RzI4iDzOAs5W8bMFni5xxK2FG3vTSgVSJQH/H335TII6soyoMOpM6CPycg/V7qclOfpvZNTxRdjWYPzd/720/1nIlePB0k5HUiq3Cx6K/BGZza2EQDm1oWwu9X6Vh9hkrYmt/SKjs64Unhlno0r0CP5R/Lqj0KDeQVIXqf2HvTxkhdNzVQmI+d8N6MzSQ+b5hI/IIgGryLurUli6RU2Xzf4Jpt7Yr0eK/0tEx3ZJsV1QcfSVQzxGECOtkENiGp7i1jtcD3JE31WnHSUhLWHoemT02bMg0ljhqrxA9Jq2R5a/pjUfi096SgdFaa7KKEqfcTcp42jC7nuLaujaGXp2QA+LFK3hWG98DDEaj7YI3hfdDBff4eYVutcKAshZ4VTCR+gnDdMUJEBBFxjF0D2NwHWa/jK/1Eq9v4YKlfF+2xlDfoTugWm/YoPH+OSKMmmanEoYS4Lk0E1x9rRDW9qLfDY8emwKukFaVT6mFpXvSZHsSFVBH1OLQx1UZLjylBLfKoXOcBZ7lME4lfJ0oVTh+6Ep4S+WFdtca6sDqY6u6AQF9ZOUuTmapRJhe/tsoJ3NY80R1PrRef/k4pRuO7ODpSa/NJK5yDjHtorHBapiRRWpIavsChVn53P+wYPiu67kUTXvxYb0hUktBl3xSuS89tv5O1NjbaIxqTjkqWuY4ZuL//GJzgtXH3d2ibrXBg0sTPJaKR+shV7jgevHqiABjMyqOV5gOSWkEPY72R8CK3uahBUt/jOZoBTwVJc4b1DVkFdGtiAr0FfrX9o0yjedJzI5mDREnf9kiCcf2XZQGGhJvkON4n2HER9Bnxe9QL28dqT8YHlaNojLBzxjyTmOa6PEeSSamnuO3E7ZhI/JxhXUXQCnMQKcQ156X9VrIUlbyVyFzioHXaHSvuee6FAvTWppKXNmD02gBilzmfHu9l9HL4ddlbmFVS/nrovhlpxCyr6rc6iMvjtHw6gajLVx0Ts3uHsPxeDi0fpSXKS36/Nc+Rmyeh4YnpFaTjEt746PPyBu56cJD3etsxWeIXAG4BjenYpa6qH7+ukpTc3AiSqqejRL9uMEqtMxJMRNreM4lCvupxOuGHE42YTw/DG0UWjO5fFI/F4RKHRwnUGNzEsm57AS2hX5XzS3DPFhJ2FOFQ88974Y2vErlKP4xPQys8ml6v25Rzxip9ifQ9Pc33RcBE4hNW5JVIRhgbsNLjI8JWa9zPU6vMK6LLJJpf/eT59FTw0LZO2Nzvvsa8Di1S5ke14zGJRRsWJdMxf+tZcPzYiz+XH+doXRpb9mVD5s/TPT3YS3Dy9ucTWc/eQHoDxxm7JHDX0HU7kpg8lEME71V4w+L5PM+YvFMmDNywwokrcpwi0nIVY1qkVmI/Z0zu8WtEwaY4CKqTdlR2idLTfBEcpOR19BzKD1UdD9LR+vRJQ2MWsg4I+iBg1V6LP8ytMN0iyJJ3H7yLGlG6QmoYg2SfTFNlotKz1/utkhDBSVMz2WYZo/ECxywoA1EarI8waeInh4nEjwAkM1a+yLIFytOZneDGyHuTSR2lczW/myBqcCKLPdK/13knlDxn2N3vZCIlTiN0Wv+R10gpJovfPz47HSPozqnQRTecVeNhfqOBUL4H17Cab/3U98XfJR7nhFvyB/cZmt6QR7p4st+Z5lkmrpPEpIlfMOiAlQ8SRrPynISAWMpgGtF+7vPBz8hv2q3qkkYfNThAv0qPEsxu1Viu6gpILdlXlNFBPfUl5zWjyjKrhwO42pPwF9ilHXUj9Hvh+arQ5HsQg7zqy1BqjBweJVAXix6bjKN6tD5rH6Bdd33Nq3ozqeupvhtO5iULfex65x0TiV8ArIsj4bPyFEqoRElaiYhEicF9jiMNVgnNu/ZjVro3LhWA2bxZSNhJfLFo1p6kjgzEXhdKcKXrl+4t76XLJCzXTmE78uTp7u8CWFQoxhbnsaVBZN9PP3bXocekLG+sI91c4YO6LrHwnXAt263ydfMP9HoXDROJXyDU9ukDcaUofZHuu6muGFUqVnx9wCVNOLKy3OKFbVet9a1/xGKBcE1K76EokTqxUFrZl+/A0FolgeuAH61v/a4NV5dHyRO/A633SZt/71kAqxaygmTqjYR64+jEJmr7EcYGvr2x0IlK2ii7DBY1PkfpdnheMQ1sXhCUWmq1psZc4Ly7HA3S+cCS/+a+xzzfJ6lofty/WNNTiabCkJhT1ROdLrCcCzdCNXAncs+zH+ONibs+8r6qta3H8djS/fTrzWqg3sMgbjlB+XnR828AABGbSURBVMs9QVyX9+uoPk6QjJ2EtfHRxkA9eRzRjNOxGbildEo9suud6r/NmDTxCwqXHkovv7v78RyXXdyvWyug6rrRYKGmOZZfEoWmuTJw1iaiMb2Bnrzruv/T/Ons0YNYf9SDKwyJTT+1sSqVUxsaAMCiyQeJzgcfdwDstMdoObXx08rtDYfGEqHHh7pVUl7x8YZS/vX+oXAMsYl+7Q26N34lN8JNpJTzaNFPJH7BUNK2o1H/yGtBZRfXRdVtTNPyGXrcjo4tWaROFHrdqGLWRty6zXUpFSV/dCUz3i9vjCC/+/iAWq/zQMsmgatVnavG4qYrnuZPLecEYKfueyI+yKlas8pUHAD2BSN4L5lnnzWq74vKJ6VGVRH5fqsV7+6d/p5G4y4lT6sSziOBAxOJXwhEXVli05F9l1NISKkCqrqJn01y8Khx6hfsL1w08475VR1XBxlpPZcq5bLViWdV74anRL5YoIvrUgLLsoOhzOBasr+ktBQj2cQHIbmPBK75XDkOw8iImvYlSdu1Zf+uvYauccHw/pKwdeq86uVOugpfEu6g4yfe+/NeI7cPSlznlcAnOWUCgNUKWfIjX9lnRO7ddyVa75779SOyUWnCfbfDbn1gXQNDYlwWjiGUhClLeEOn0tBAr7ZjtGwKl5RyW9ASgavro3tz0G9dNXBHZCH7mISCA7K8B+49E13HLeeDkOY6Ehqz8DdJ77wSODGR+AXHQd2zOg+DQAKogreJpKNhRXktbRgWtu1dd1qgPE/JPYqc2HwZ6sb6m1uT6gLpg448XstzDaseJpG0o4RbGsSb1/2KQEDTq9FY5MyrxoahBU3Zg/eXUCKN5AmWmV4o7i9O8mYkQr3fURlditHrRNBwDA7VwCOopMTvJZx3Ap+8Uy4onEAjbxJgWAGyf7YESSJPBRIH4skbSorruoScFk5JJtTN635bCXqmF8OqpUy4xLCQTybhlUUHAqsgTXUx7PKCIQF1MyDr4W/qw63LvKH9jc/PxyGYrvvle749ZIESNe8FrXG95+sm8GyCgwxqrvM4ucgETkyW+AVFZAG5R4VDrdCqZcvcDszlVntWMkUhLabDY5QcI81crQ3No2uuSuDqY12Kosf8+SCtDmjqTEH9vmO/RbKMSh3q9+yNFvVuL+++lEctcR53FcMBx0g/ds8hz08URiF6Zjx3rMH1wUu959ojiQapeT5BCSeK5bNJw39RcNbvw0TiJ4RNXwJ9Ya6irWB12QInSt3vKPSpW+rcVoLydTDH8qlwglfyi1zYFJQcdLJO5LFRy7YSV2XHRGSk+1Q+iuKi8J6oJa7+2No4aYArJXLPs2v1OiYBDOUdt/g3gedBrxn5zR9UW7+omEj8AmNsAKgkt2hcaVp50YQdTT+yENe9eEoeWsFdq9X0PE0lH2DVV13zpTFNItSIZ2DyN9ev6dUSEbk2YE7mY5ZmNNlKSVl1acix6qoIxD2HCHy+keZ6WIKNeksKlk1nD+u74MeW3qOLQv6TJT6hA196d42jp4a/LKyAukpNCT6wVqqQY/nitnpORJa4kxMJyzV45j26rlqp9FBxyYXSgV6P11LrmQSo4xC8l9fsuzZaKoNow8HPdY2Ow7XlqPJ7AxAdEw2eRmSqaY31ltz6jxqhCHwno57bRSFwYiLxCSsvvVu+PhFDz1sG25Gvsp+7RPzyRRXYPR82teiVsJf2yfySgDZ1Y4vyUfLqocUdkdlYQ8b8aF49LrkHCYOduynGxi6AssWurpgkU03L75GOSxwUm5DURSNuYvJOueDwF3/MAoom5fA4JRvtfqfgeCIa3HJC8l7BOgL3xkYtXnfzqzEMgzrHqlWtMolDLfOIpD2Akw+MKkh4Mzue+XMJqCRhrVvezAc8I7gXEY8dGwCtg2M84BcwHi+lBNfON9XfLxImS3zCAFElJtZZUiWNPfJF14E7IJZxYPucJN2fnPt9UFT3+WxH15NVP49WvuEU9JJ8QAs1Y2glqWXqhB3JCDsYSg5L2a8kzjLx2P0gLcIDWEW/E+rFwmsAw4bUpS5vaDyImTb2Y1ILr1ci7MNa9OcRZ10TP/EeUkrpUSmlZUrpybLv2SmlN6aUnnLS+TkLUN3TSWAm+wgnUKAntCWGCxFElXGs8qpVpuSmpFkCXybXkmlp65T2pWzvA9hD441ztf1+FcOBSa1IczREG3muRLMc1bLmgC3/5mimvXP/5fb75XYfr6MN0jX0PubaA9EBYS5izG0ndZZLn5VPruH7oO+HDkhy7CIi/Kj8moe85m/CEPWGf6eBE7XEU0ozAC8A8Euy734AHgXgkwH8DICfPMk8nTVEXeoIOpCpL4+7umk6pcoZab7AuKXuXfYxd0TNr+rmJHASov62K+cpaIVrQ3fNfq+wag1Hro5Ab41rT0GnwWseSLTqb05SpTtkKfIkv/OzFHZhR8rnvzGfHnqXWDf+Qei1x4jnomrgEc6yJX7Scsq/REPUj5J9pRDG5xbRLL/IncwJCOgtUu9aR250ng5RkmR0Wy38Ekgo6wbsNB6JpklL9BpWJ91oebwnEskHPuC3Dq6Na09oB03wsS507aK3iDXGCvOlU/PnwHCFI7uur3pfklCYJ9e7Pe9or+cxYUquk7zmJhLBugHZi4JpYLNFSunBAL4QwGMhJJ5zfn9K6U4AdwD4j+vSmV+6hJse8Yhjy+dJwOUTb8XUVc6nbnt316UV9xbRcKd6vOrkarlqWrUdF8kXGiPbERGeDrxxxiQlFJatQmOJU/7gebBtzwOhMpQ2hC5PRcGmOilo1oc7WCybWCsfQCP7sMFhepRMLqElf8ngYtnLLiqbjD0Hlpn32xulmX1yNq/KXnqNqBE/iM47kfhkiRPfDuDrc87LlIavZc752wB8W+nElNIPA/giALh06RJ+/KabjjOfHe666y7cfPPNJ3Ktk8R5LNeRl8m7M5uY98BqK7vpeQVsVC5t9bcAJ/n+3XnnnUgp3Su7XpFzvuWg6ZxlEk85H5+KkVJ6JoBntF/vj/5VeyCAKwC+Kuf8ymPLwHUipXRvzvm+p52Po8Z5LNd5LBNwPsu1bWVKKb0GDWdtgvfmnB9/nPlxHCuJFy+a0ssAvDrn/PITv/gBsG0v26Y4j+U6j2UCzme5zmOZThMXXe6aMGHChK3GqUz2yTnfehrXPQRecdoZOCacx3KdxzIB57Nc57FMp4ZTkVMmTJgwYcLRYJJTJkyYMGGLMZH4hAkTJmwxJhI3pJRmKaX/mVJ6dfv94Sml16WUbk8pbd39Sik9JKX0aymlt6WU3pJS+rp2/4enlF6bUvrZNvTBViGl9PiU0v9KKb0jpfQN7b6teFYppcsppd9LKb25fSbPa/e/LKV0V0rpTe3fJ7b7759S+jk5/umS1pmIO3TQMrW/Pabd95aU0m/I/qe2ZfpXp1GWrUPOefqTPwD/GsCPoXGBBIAfAHAjmpABjz/t/B2iPA8C8Ih2+4MAvB3AxwN4PoCHA/inAL76tPN5wDLNAPwfAB+JZrLkm9sybcWzQjNf4n7t9g6A1wP4FAAvA/Dk4PhvAvCCdvtGAH/Zlvt+7bs6B/CzW1amDwHwVgAf0X7/2/LbK9tn/BNMc/or/51Za+U0kFK6CcA/AfAS2c2FZ2ps1by4Bjnnd+ec39huvx/A2wA8GE25OC9x28r1yQDekXN+Z855H01lfyK25FnlBve0XxkscczDIAP4oNRMdb4fGhLXKMGn7p1wiDI9Dc3syT9pz3+P/KblOrPP8axgIvEhvh3AczCcZfsdAH4ewKcC+OXTyNRRIaX0UAB/H42VdBuA7wPw1QB+5PRydSg8GMCfyve7231b86xa2e5NAN4D4Fdyzq9vf/oPKaU/SCm9KKV0qd13G4CPA/DnAO4E8HU557ptlBl36NSjfx6wTB8N4AEppV9PKf1+SulLJalXoCnTHW0ZJ4zhtLsCZ+UPwOcB+O52+zFo5ZTz8ofGgvt9AF902nk5grJ8MYCXyPdbAHznaefrkGX5EAC/BuDvoJG+EppYWrcDeG57zJMBvKj97WEA7gLwwaed9+ss020AfhfAfdFMaf/fAD76tPO+jX+TJd7j0wF8fkrpXWi6549NKW2bhRoipbSDJgTwj+acz8NEi7sBPES+34TGSt065Jz/GsCvo9Hw350bXAXwUjSyEQA8HY30kHPO70BD4h97KhneABuW6W4Ar8k535tzfi+A3wTwCaeS4S3HROItcs7fmHO+Kef8UABPBfDanPM/P+VsXTdaHfUHALwt5/xfTjs/R4Q3APiolNLNKaVdNM/rVaecp42RUroxpfQh7fYNAD4LwB+llB7U7ksAvgDAH7an/AmAx7W/fRiAjwHwzpPO9xgOUaafBfAPUkrzlNJ9ADwazXjNhANiWmPz/OPT0cgNd7Z6JQB8U875F04xT9eFnPMipfQsNCtEzQD8YM75LaecrYPgQQBub1e6qgD8VM751a3L541o5Ic3oRmvAIBvBfCyNu5+QhPS+b2nkfERHKhMOee3tdEB/wDNGNRLcs5/WEh7wgimafcTJkyYsMWY5JQJEyZM2GJMJD5hwoQJW4yJxCdMmDBhizGR+IQJEyZsMSYSnzBhwoQtxkTiEyZMmLDFmEh8wgAppQ9LKf1YSumdbUyL16WUvnDNOQ9NKR3KxzeldGtK6cPl+0tSSh+/4bmPYcjg40JK6Xfaz4emlJ52iPNvTSnddvQ5mzChwUTiEzq0s+peCeA3c84fmXP+JDSzIW86xsveCqAj8ZzzV+ac33qM1zsQcs6f1m4+FE3kvQkTzhQmEp+geCyA/Zzz93JHzvmPc87fCXTW6G+1AfvfmFL6NE9g7JiU0nNSSne2Cwc8P6X0ZACPBPCj7eIAN7RR7R7ZHv/4No03p5R+ddNCpJQel5qFPe5MKf0gI+ellN6VUnpem+adKaWPbfffmFL6lXb/96WU/jil9MD2N4ZXfT6aaeJvSs1CDAMLO6X06pTSY9rtp6eU3t4udPDpcsyNKaWfSSm9of3rfpsw4bCYSHyC4uEA3jjy+3sAfHbO+REAngLgv256TErpCWhiZzw65/wJAF6Yc345mpCjX5Jz/sSc8weYSDtV+/sBPKk9/os3KUBK6TKahQieknP+u2hCS3yNHPLeNm/fA+Dftvv+PZpYOY8A8N8AfESQ9DcA+K02ny8auf6DADwPDXl/NprFKojvAPCinPOjADwJw7j1EyYcClPslAlFpJS+C8BnoLHOH4Um0P9tqVlia4kmJrSjdMxnAXhpzvkKAOSc/3LN5T8Fjaxz14bHEx8D4K6c89vb77cDeCaaWPFAE6saaMPyttufAeAL2+u8JqX0VxteK8KjAfx6zvkvACCl9JMY3oOPb1QrAMAHp5Q+KE8xsydcByYSn6B4CxoLEQCQc35mKyvc0e56NoD/iyZkaAVgL0ijdEzCwVagOejxet4YrrafS/Tv/2FWj1lg2JO9LNulfFcAPlV7HBMmXC8mOWWC4rUALqeUVH64j2zfH8C7c841msiIsyCN0jG/DODL27CjSCn9rXb/+9Gs/el4HYDPTCndbMevwx8BeGhK6WHt91sA/MbI8QDw2wD+WXudzwHwgOAYz+e7AHxiSqlKKT0EfZzs1wN4TErpQ1MTx11loF8G8Cx+SbJo8IQJh8VE4hM65Cak5RegIc+7Ukq/h0aO+Pr2kO8G8GUppd9FIxHcGyQTHpNzfg2amN93tCFxqUe/DMD3cmBT8vIXAL4KwCtSSm9Gefmxx6WU7uYfmuXnng7gp9vQrTWA7y2cSzwPwOeklN4I4AkA3o2GtBV/AGDRDrI+G8D/QLM4w50A/hPasYSc87sBfDOaRui/YzjG8LUAHpmapcreij7U7IQJh8YUinbChUfrvbJs45R/KoDvyTlPVvKErcCkiU+Y0Hij/FRKqQKwD+AZp5yfCRM2xmSJT5gwYcIWY9LEJ0yYMGGLMZH4hAkTJmwxJhKfMGHChC3GROITJkyYsMWYSHzChAkTthj/H7NNN9McGV6/AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "excess = counts - background\n", "excess.smooth(5).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a more realistic excess plot we can also take into account the diffuse galactic emission. For this tutorial we will load a Fermi diffuse model map that represents a small cutout for the Galactic center region:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "diffuse_gal = Map.read(\"$GAMMAPY_DATA/fermi-3fhl-gc/gll_iem_v06_gc.fits.gz\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Diffuse image: WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (120, 64, 30)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, -0.1 deg\n", "\twidth : 15.0 x 8.0 deg\n", "\n", "counts: WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, 0.0 deg\n", "\twidth : 10.0 x 8.0 deg\n", "\n" ] } ], "source": [ "print(\"Diffuse image: \", diffuse_gal.geom)\n", "print(\"counts: \", maps[\"counts\"].geom)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the geometry of the images is completely different, so we need to apply our geometric configuration to the diffuse emission file:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Before: \n", " WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (120, 64, 30)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, -0.1 deg\n", "\twidth : 15.0 x 8.0 deg\n", "\n", "Now (same as maps): \n", " WcsGeom\n", "\n", "\taxes : lon, lat, energy\n", "\tshape : (500, 400, 9)\n", "\tndim : 3\n", "\tcoordsys : GAL\n", "\tprojection : CAR\n", "\tcenter : 0.0 deg, 0.0 deg\n", "\twidth : 10.0 x 8.0 deg\n", "\n" ] } ], "source": [ "coord = maps[\"counts\"].geom.get_coord()\n", "\n", "data = diffuse_gal.interp_by_coord(\n", " {\n", " \"skycoord\": coord.skycoord,\n", " \"energy\": coord[\"energy\"]\n", " * maps[\"counts\"].geom.get_axis_by_name(\"energy\").unit,\n", " },\n", " interp=3,\n", ")\n", "diffuse_galactic = WcsNDMap(maps[\"counts\"].geom, data)\n", "print(\"Before: \\n\", diffuse_gal.geom)\n", "print(\"Now (same as maps): \\n\", diffuse_galactic.geom)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : lon, lat\n", "\tshape : (500, 400)\n", "\tndim : 2\n", "\tunit : '' \n", "\tdtype : float32 \n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# diffuse_galactic.slice_by_idx({\"energy\": 0}).plot(add_cbar=True); # this can be used to check image at different energy bins\n", "diffuse = diffuse_galactic.sum_over_axes()\n", "diffuse.smooth(5).plot(stretch=\"sqrt\", add_cbar=True)\n", "print(diffuse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now multiply the exposure for this diffuse emission to subtract the result from the counts along with the background." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "combination = diffuse * exposure\n", "combination.unit = \"\"\n", "combination.smooth(5).plot(stretch=\"sqrt\", add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot then the excess image subtracting now the effect of the diffuse galactic emission." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "excess2 = counts - background - combination\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(15, 5))\n", "\n", "axs[0].set_title(\"With diffuse emission subtraction\")\n", "axs[1].set_title(\"Without diffuse emission subtraction\")\n", "excess2.smooth(5).plot(\n", " cmap=\"coolwarm\", vmin=-1, vmax=1, add_cbar=True, ax=axs[0]\n", ")\n", "excess.smooth(5).plot(\n", " cmap=\"coolwarm\", vmin=-1, vmax=1, add_cbar=True, ax=axs[1]\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prepare IRFs\n", "\n", "To estimate the mean PSF across all observations at a given source position `src_pos`, we use `make_mean_psf()`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# mean PSF\n", "src_pos = SkyCoord(0, 0, unit=\"deg\", frame=\"galactic\")\n", "table_psf = make_mean_psf(observations, src_pos)\n", "\n", "# PSF kernel used for the model convolution\n", "psf_kernel = PSFKernel.from_table_psf(table_psf, geom, max_radius=\"0.3 deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To estimate the mean energy dispersion across all observations at a given source position `src_pos`, we use `make_mean_edisp()`:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# define energy grid\n", "energy = energy_axis.edges * energy_axis.unit\n", "\n", "# mean edisp\n", "edisp = make_mean_edisp(\n", " observations, position=src_pos, e_true=energy, e_reco=energy\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Save maps and IRFs to disk\n", "\n", "It is common to run the preparation step independent of the likelihood fit, because often the preparation of maps, PSF and energy dispersion is slow if you have a lot of data. We first create a folder:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "path = Path(\"analysis_3d\")\n", "path.mkdir(exist_ok=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then write the maps and IRFs to disk by calling the dedicated `.write()` methods:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# write maps\n", "maps[\"counts\"].write(str(path / \"counts.fits\"), overwrite=True)\n", "maps[\"background\"].write(str(path / \"background.fits\"), overwrite=True)\n", "maps[\"exposure\"].write(str(path / \"exposure.fits\"), overwrite=True)\n", "\n", "# write IRFs\n", "psf_kernel.write(str(path / \"psf.fits\"), overwrite=True)\n", "edisp.write(str(path / \"edisp.fits\"), overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Likelihood fit\n", "\n", "### Reading maps and IRFs\n", "As first step we read in the maps and IRFs that we have saved to disk again:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# read maps\n", "maps = {\n", " \"counts\": Map.read(str(path / \"counts.fits\")),\n", " \"background\": Map.read(str(path / \"background.fits\")),\n", " \"exposure\": Map.read(str(path / \"exposure.fits\")),\n", "}\n", "\n", "# read IRFs\n", "psf_kernel = PSFKernel.read(str(path / \"psf.fits\"))\n", "edisp = EnergyDispersion.read(str(path / \"edisp.fits\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's cut out only part of the maps, so that we the fitting step does not take so long (we go from left to right one):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cmaps = {\n", " name: m.cutout(SkyCoord(0, 0, unit=\"deg\", frame=\"galactic\"), 2 * u.deg)\n", " for name, m in maps.items()\n", "}\n", "cmaps[\"counts\"].sum_over_axes().plot(stretch=\"sqrt\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Insted of the complete one, which was:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts.plot(stretch=\"sqrt\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fit mask\n", "\n", "To select a certain spatial region and/or energy range for the fit we can create a fit mask:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mask = Map.from_geom(cmaps[\"counts\"].geom)\n", "\n", "region = CircleSkyRegion(center=src_pos, radius=0.6 * u.deg)\n", "mask.data = mask.geom.region_mask([region])\n", "\n", "mask.get_image_by_idx((0,)).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition we also exclude the range below 0.3 TeV for the fit:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "coords = mask.geom.get_coord()\n", "mask.data &= coords[\"energy\"] > 0.3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model fit\n", "\n", "No we are ready for the actual likelihood fit. We first define the model as a combination of a point source with a powerlaw:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(lon_0=\"0.01 deg\", lat_0=\"0.01 deg\")\n", "spectral_model = PowerLaw(\n", " index=2.2, amplitude=\"3e-12 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we set up the `MapFit` object by passing the prepared maps, IRFs as well as the model:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "fit = MapFit(\n", " model=model,\n", " counts=cmaps[\"counts\"],\n", " exposure=cmaps[\"exposure\"],\n", " background=cmaps[\"background\"],\n", " mask=mask,\n", " psf=psf_kernel,\n", " edisp=edisp,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No we run the model fit:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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EDM = 7.138458846692109e-06GOAL EDM = 1e-05\n", " UP = 1.0
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ValidValid ParamAccurate CovarPosDefMade PosDef
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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.14 s, sys: 53.1 ms, total: 3.2 s\n", "Wall time: 3.2 s\n" ] } ], "source": [ "%%time\n", "result = fit.run(optimize_opts={\"print_level\": 1})" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- ----- -------------- --- --- ------\n", "\t lon_0 -4.763e-02 nan deg nan nan False\n", "\t lat_0 -4.837e-02 nan deg nan nan False\n", "\t index 2.405e+00 nan nan nan False\n", "\tamplitude 2.827e-12 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n" ] } ], "source": [ "print(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get the errors on the model, we can check the covariance table:\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=5\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
namelon_0lat_0indexamplitudereference
str9float64float64float64float64float64
lon_04.408e-061.156e-07-2.578e-061.914e-170.000e+00
lat_01.156e-074.301e-068.924e-071.108e-170.000e+00
index-2.578e-068.924e-073.475e-03-3.257e-160.000e+00
amplitude1.914e-171.108e-17-3.257e-162.292e-260.000e+00
reference0.000e+000.000e+000.000e+000.000e+000.000e+00
" ], "text/plain": [ "\n", " name lon_0 lat_0 index amplitude reference\n", " str9 float64 float64 float64 float64 float64 \n", "--------- ---------- --------- ---------- ---------- ---------\n", " lon_0 4.408e-06 1.156e-07 -2.578e-06 1.914e-17 0.000e+00\n", " lat_0 1.156e-07 4.301e-06 8.924e-07 1.108e-17 0.000e+00\n", " index -2.578e-06 8.924e-07 3.475e-03 -3.257e-16 0.000e+00\n", "amplitude 1.914e-17 1.108e-17 -3.257e-16 2.292e-26 0.000e+00\n", "reference 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit.evaluator.parameters.covariance_to_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check model fit\n", "\n", "We check the model fit by computing a residual image. For this we first get the number of predicted counts from the fit evaluator:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "npred = fit.evaluator.compute_npred()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And compute a residual image:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "residual = cmaps[\"counts\"] - npred" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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iGXlUWgsfi98z3Iv+VFhydZmPWc0W3HvZV8r0W2V3G+2hT4h6o5gien4cEV0bfb6YmS/WKxHREQDeB+B3mfm2jdq17R6aFRUVy48pfZo/YOYz+sejVbgH5l8x8xWbsW1bPjQndiMs+Jcs1tSxBmEeKorbxL+WhRI/Nb7FTgPzUyKyVpljJnYcyuIkqqotmozk2BVb6dqETGaammH2ybF1LEgJghh5oLlcWpnNb4QN6ZzIfKzY5yitVFQOaZMec//+JvtFdSZCl1fpXzlmp+qcbqL81yrLnSXDdCBgRj5Ncgf/VgBfY+Y/2ex4y5kIVVFRse1BRIP+BuBnAZwH4LFE9AX/96SN2rXtmCYT+V/8MhPRfc+zMQxWUeqDHY8vuXeT/FexRTqfMcstNI5Diw1rUVrapIxXqUpJ55Ra9oopXVReVoxFUPz2uje6kQeqo9jdIKnUHSyf4wCUGGbwwRq0o/MxDmdzXSsV+9r0Mc+Srzq9J9KMjSFVT3rfWWuS2E08QIZwKtBMo+efwvBJ1URsu4dmRUXFFgARqJZRVlRUVAxHFexYIpSEEnQ6Sb5dOegii0rJyfF3uUp3eRqXpZ5kCfg9KTuFGUlvyWUBpsK9nqabXRdVMnVJBCLaZNysxptm7oRppr1dKWkcnLIRbEr0WJSrI5StKhuiw2HlMiilQ6UiH3odu6w1sXMK6DSoIWIfwX4p5gjxRC/6MUc9TQKBNnCci8C2fGhWVFQsOQhAZZrLAjLZpXtfVhMHot4+TXfaWpX4O01vnW7H5X42ZWm19Jd9WJ+hvOQvKwdUaU8yah8TGYJMCCSU8fkAVxNdB8Vk+tKHBJPY16DSximCRsI8257T3onfyTW0S2LjZVpOrtfcAeeluO2AbcQWpnS20Kgkffd+ecsoZ41t+NCsqKjYCqg+zaUBu26Uxq/9aJx2SgwiB7o0MmZ5QdRAmEdfv59+0d4spQN2t0a33L22o1R0170PHWGSz03wsUXjZ33HNcMxUpo2INll+zsBQJhuLAgijF4Jd0whittvS6Gjp3/VfcSdDfKdLq3VUnc9vuSCwEbynZ5Z9JW+GmIbffsfiqyYoCDanfg0p0jcH2YEgUY1el5RUVExHHV6vixgNO2BTEQWABrPNLVvMXT3EzbZ045CX+ZBUWfNONuuW6Zmvx2jdduMLB+qjz53Cc1+Xc8Y4m6co/Ga/85mtN3+DP8VTc8uwrGr3t3xMUu3z7ZNfciBzUTlgX1J/tPa1A0a+XzVuhYL1WOUsgq6iHg5Mp4PPMBXXUrs3yA0yy2x3qbJj3lWUfQpqn0WjoU/yonobCL6BhHdQEQv9cseRESfJqJLyOcZENEfEtH1vuTpI0R0b7+ciOi/+u2vJ6KH+eUnEdEnFn08FRUVc0LTDPtbMBbKNMmFSt8I4JcA7AHwWSK6EsDvAfhVAOcC+GUAHwLwamb+f/x2LwLwBwCeD+CJAE7xf48E8Cb/OswGZqyM18KvZuyvEfbTRQ09exGG00qkN/cJCoQFlaLeiS2KeYgto4h1afYbSgqb8i96HgFPmaywSwDuXACg8bpfZ10OxL34/SQ9rkeOyQrb7URJDGk1JdKbv+YZAyzXQZ3/Vvk6gY7tBv8n7Ii7JQ2XR/SN8tkQ5bcZeO9Mopj5kJa1Jt+FQdKyWWt8bXfps2X3EOQ+WF3CG10HJSAzC9RAkMOZAG5g5m8DABFdBuAcuMJqhktxJgBQeneHo7ufzgHwTmZmAJ8hoqOI6F5wEYUfLeQoKioq5gunDXewrTCx6IfmCQC+E33eA8cSXw/g7wB8C8Cb5UsiegWAZwK4FcAv9oxxAjNfC+Apc7O8oqJioajRcweLbzMzfx7GFJuZLwRwIRFdAOCFAF5WGqN3p0SXwj9Qjz7ybhit74um55E2o7yXaUlQqJZxdHoOwOQDKKSnYrlJxVQXFZSSKbnb14HUNhmd0xsq0bD002d9qmSaFU//ZVo+Gu839wP/ebyyo9umFReBKMKnU+HEFl2aqnvUtONsm3CMwjR8vg/5njTNKCouCG6DVb+OG79TlMqhE/eDrcpdEmOSMryF0vXuSmHTvdswNEp1gKbHVbAhW1U/odwiqac0AnI0wk033Qgi2httcgUznzedQVjaiqBF8989AO4TfT4RwHcHbPcuAE/d6BjMfB4zH87Mh9/vhHtNYW5FRcW0OOmkkyH/b/5vugcmAMD1PR/yt2gsmml+FsApRHQygP8JF/h5hrUiEZ3CzN/yH38VwNf9+ysBvND7Qx8J4FbfbW4YuEWz3gVCEmaV/bKmKSMSJJGAUDIs2eWIg379hTmEftlxIGg9txMA6+6CInKBPD0pCwjFTJbT8cN+TDZko2Nmeflpoxmlem0Uu9fbOxu8/Y1ocEbnNDpuABiLzKWwX6UUn47rU8mEzSsW7N73iZHkY1l259+VCwb0terORXwh5F7TO+yZcIU+UWkwx0onmniMSiwGyNPCZoIlTTla6EOTmdeJ6IUAPgwX/HkbM3+lsPoriegBcP+JN8NFzgHggwCeBOAGAHcCePZ8ra6oqFg4CDW5XcDMH4R78E1a76mF5QzgBRvdP8H/eg/4hQ2+G7VukqZUYpJ9v/qZTZ7NaPYVLdM2aNmx2A727FH6tnOj0ldi20KpqGeWoQWR9+eOhEF0jE5YhZapswoGMmbpbWs0s7V8asGUUXrs8fkJ/dMLMnWhd1Ne5lhK1YnPf6YMPyAxnVVJoU5/sthYJikYpNzEtuLusjQu0yblh+w9nuCHTsfV/Zysvu2zk4irZZQVFRUVw0GoKUfLAoZjRqR6dwOR30szHU59gRyzOhIfIJnbDkFgCiGSHI1RiC6HJHcd7Y4gs5u2z60q/qnAfjxLkmTxkYuajxOmqZPZUwaeRHo1w9Q+WnXsMYqJ2FbUViez9/jDsuTw8NmKVOtrYzPPxCZViACVpC/btk10YaT0Vfd6V/uNl2l/sWaIsbhIqTeQVWRQFAtRp5ST6zBraTha2uj5tntoVlRULD8IqMrtSwMitKNVW2i4xHrCusi2yRjNkAud+dI4XT4gkrkhGGxY/J6BIAjz9Lme655pllqEAKnYhh5f+2vDudUMOr4OMn6IPqdsONiMiBEr9lvqLR9DR6jNc62zFDTztJi+ugd0Oa6VbzpmXZKKZH+mn1WzX2VLXPrZ+n91XbaqsyfcOnb2gqRSWP872oe8aSxxnub2e2hWVFRsAdQyyqUBg9A2q2brh+yXWvuKwrrReip3rTfMGYywfUZDWKXOlRP2krRo0IKwOl/Q+gFXuXdjEeWQ/DsjKtpFySfLsmk2rSuBeoUkSseMPA+zlCdoCl8UxYh7rqGK4Ot7xB5P3rh3jZxbjv79RpJ5kAqOWFJ62k9s+sKRzggaUr5XXRFn/R+U7h8jS6IN1WaYHWr0vKKiomIgqmBHRUVFxZTYyj5NIrofgFOY+WNEtBvACjPfPl/T5gQigChoAcYpGLoAoZtSlqbpiKJDMnWU5Sox3tp+SHqSnhqFqbfS+oympTqpXY9lBV104nWY7ho91Cd2SoxTUZCmAJX+DZLk/CkSpDfThbKssD4ZpANErZGyE4xMhTU4TIl3ROtIIMinHumAUBIIsktfM/vjrqvabaSP2bA/dKFUqVKma2uWAcsw6HIyzYlWEdFzAbwXwJ/7RScCeP88jaqoqKgQgjPxb8EYwjRfACcefDUAMPO3iOin5mrVPMFspsSYqyp21DHE6BdW1kXqJIcxrk5XgU5XCewxSqnJnPE2w7TScAbdUCE5W2wsBKeiX/0SM2MVTAKAkU/+zwJWIRl6ihQtg+kHcRKfDiP54l3Se5k96sRxqxxRsysdOOnYXpR2VWKssh8ZexwJs2gxDHX7JPdpOA+K5RYk4+JxNaxAVre9W6bLZC3IeWlnRQ6JZlZ7TkRvA/BkAN9j5gdvdrwhVu1n5iALRC7JbEbJWBUVFRUFNKNhf5PxDgBnz8qsIUzzn4joPwHYTUS/BOC3AfztrAxYNAiMlfV9PbJd0bqlpOfkF9f4VS+sG1iJSLNppmndAIFZrib7yUQTLCZRYo196TFBWFh644gfNGbX/b+ZbKQ/tXIuRz5dRlboESHWjCqwPOoEU4K8GyQBHon9/dc3ZY9ZWWI0TujVlEncpT2VpkEqsqLYNA3wEWohGbmvlIg2UD4P1uwpfBdsKzHn2Dcu480quX12TJOZP0lEJ81kMAxjmi8F8H0AXwLwm3AKRf95VgZUVFRUmBju0zyOiK6N/p43T7MmMk12P4F/4f+2PKht0azdFTG4iN3pX+NJpX/o8clZLFWPM1bCwpYdOrpJqe8ujB6bUfi1t6KewTS/KHSADM6pyYw87DYI247zZdoXG8QlxOQe/2vwHyIZy9mbioSE5PAB9mbyaANEoEkxziHCv3lZZS6tltuUnvdeERF9XxmlnTrBvg+dXUoaTvl8yZp9cDszyY4pouc/YOYzZrXbSSg+NInoS+jxXTLzQ+ZiUUVFRQUOTmR8CPqY5pP9qwj+Xupf/z2cYvrWBLcY7dsLlsTZuCRP+xQ1W7R+weXHUDGE8L1R/hYYZtR2AojZwOSoZ2CcigU4E5SfU4tNWOyo8XmC/qP2rqblidomPX45f0/ng3ZHGo2v7dQCJ3HOomzSyHlQsmw90MzbEuEotenIfIBxbqpkP0zym/c9FJTMm+Ub7xiyZ8PCgseGjeGeELHpstBMJiNXKB2NfabSbM/9P23er8kE8JKWURbvLGa+mZlvBvCzzPwSZv6S/3spgCcszsSKiortB19GOeRv0khEfw3g0wAeQER7iOg5m7FsSPT8cCL6OWb+lDfg0QAO38xODyraFth/Z/crGf3iFvX7MlYRrTdKG3vl+4vYqWasra7gECZq2KFYRccY8oqgjDHL8BZzk+izOkbNOGPGmMuX6RYcBlMryJeZYsGS5ynbZsK5uUhz+A5p1LyXXRcYrdVsj7T8nXw9Mip4VNWWRl+EWTepE9JGBtPsZi7CNO0ZjF+Y2EaQqrHJU2A907KYZmD8M5UynFn0/NdnMpDHkIfmcwC8jYju7j//BMBvzNKIioqKCo0+9f2DiSHR888BOI2IjgRAzHzr/M2qqKjY1tjKKkdE9AfqMwCAmf/fOdk0VxC3oLV99gUJ05B0usY+Hyc0pl/thBZ4dacf1y/TPWPiaZXloLcQB1LG+TJvjHuV6ZYxPdcBCFtUIdVOHEmitPQY95qPFJVpNoUyTT0VB6KkcO0aKKibJ8tUF8psOm3sO3wOvcHLghS5gMoAIRVV6sojeY16KI0K/1Z9GpZaHEaXLhp6l1ngp+T2AcqKQUZxRBa4CufFuzy8O2AUnSc55tAzaxbYqkwTwN7o/S64qPrX5mNORUVFBQDQ0kbPh0zPXxt/JqLXALhybhbNGcwMXlvrfj3jBHP/vl1by78DgpJ0s3NXWES7d7s3u/xr65inWRLZxwQSI9vsPY1t2S8SxrOykm9TYgwGdLpT6Gcz9sccS88JqyoxzZ6UnWCKYspJ6tcEhmF9n7HPvjSiQhkr+euSBEcy1Xgf+JF+8CtuhtHGTLNJg4NdueaBxP4mvg80+1XbpjMWnWBfKIW0jiMwZBVAHMDqdDAsPuMh9W1YLfhkELbu9NzAYQB+etaGVFRUVMQYUtV1MDDEpxlXBo0AHA/gD+dp1FzBLbB/H9izSF4LAk5o79oHAFi/8y73eb/7Tkr+mlV3ulYO2x22Gd39SPfdEf7Xf9dhbhvxe/b5TgWZYHGTr9sWfIJyBVuDVaDgu0tsKTBY6fEeUpq6WyVImmlWYTJNW9CCQjmlIbene5erxOxen3ChNJKiNBw6sJbYmyXPJ+lDKZNnZUvXDbNjlxnbUnJ1hNzvV5R360uD0j7ywCYNv7Gcb2GY4oNUifh9NmTJ9HFBhfY/bxpbsyJI8OTo/TqAf2VmO2mtoqKiYkbYskwTwB8x83nxAiK6VC/bMhi3GO/dCz7gnvvtvn3hq7Xb7nCvt7rY19od7rt23Xfa2+FO186jutz+Xfv2AwBWPSsdHel/hcXXuRL5tzRzakSI16NVTAEIDLPoT7IiyYEZqHUCa5mCDTSSyNztnw0/ZDp+xIqsvuDRuoGdWsn5geWqbclg4uG5UHnhAAAgAElEQVSzEuaV8dej8yc+wXXxbfrzIdejic6P/Idw2vJhKj5VYkxWKxTFzK2yzXD9Cgn34brE0nDKhxmi/5ZPM2Qc+K+K0oixTfKGpzw5BRAN1cpcOIY8NB8Uf/AixA+fjzkVFRUV7rm75ZLbiegCACI+fJssBrAG4OIF2DYXcNtivPfO4K88cHuXUXXXD91h3vkD1zPuzh86XZL1/e4XfWWnO12HHXtY2OaIOx3TPMyz0Z0SKZXStt3duiSsU1IpvLiHVA2GH+iInBUbVqmobsweGXZUuBhl7UFgEE0enc9YZIj0G6Wjym6xNjT8MjIGOoYsTFCavFn5jbZsWVcCGDPNcfoaxsibv7EwTPGBjxRDDiWFBqO2GtkNRObTtM5pTyM197nJ34fZDtnbbBIzbbC2pNPzPsGO/8LMdwPwamY+0v/djZmPZeYLFmhjRUXFNgSDBv0tGn1M84HM/HUA7yGih+nvmfm6uVpWUVGxjUFbMhD0ewCeB+C1xncM4LFzsWjO4LbF+t67MPbpRft+fEf47o5/ddPzW7/jyutv/Zabuo/vTKccdz+1Cx61Pum8WfFJ4D4tadVPwUdRn5MwJdUpIqEvjK307QZW2ow96jRZoGBoUr01rpHmI9qJomGZ7a+3DFHZKKpEsdqU7inu9x1iDWSkV+mpvHYhWN0WsxJFP1Z8nmRaHFKx/HXu6c0kU/q4Q2iy3z5k/dQt94WtMxrsN/o6Bb2q7Dypst9NYqYPuq320GRm6bPxRGbeF39HRLuMTSoqKipmAibKJAiXBUOi5/8MQE/PrWVbAy1jfNc+HNjrfgf239aJ0O/9gWOWP/ri7b1D3PrVLni0sstd2J13c78jO+7mAj+SAM87OnEPGqmEbvkllaBRkyZOA+iCRiEJubFfrb7b6yq1xmKAwjCCbWrcnvs2DzCVGBAmpo8kgQ4VHOqCRp7hWoIYpcBGjyBF12lTvghZ6N3m/twFG5Cu2xhBGbGPGrsj5lQdG62gjy7v7b5wL6ErQbRPxZj1sfYq3etiiWz5nHIqt2D0/J4AToCLnp+O7n45Eq6UsqKiomJu2Io+zScAOB/AiQD+JFp+O1wq0pYEM2O8/wDW97mUo7W9XRnlvh/vn3q8O7/nGOuB+7ht130qk4h+NHFS9QERWrCZRvDrReouxEoco1GXzEj/CczSlwvyASVQEfd2CelPq/4rzzhXZnTD6htf9agJ52LIP4jh8+3K90oJ5N43GJ+3UUGiT/v5AIhUGx1QqUuq31Oc0C8ycUHEQym5a5+tW6ZSpbTcW8QuQwK8vo9CsYTMSsqCIJ0qPvJ1lU1DUtRC0v/MHnQHJzI+BH0+zUsAXEJET2Xm9y3QpoqKiootyTQBAMz8PiL6N3CVQbui5VtShBjMaNfHaNfdL+N4rWOCB/ZOX1K/fpv7xZYE+NaP10qZ5v6OyYae4o3aT2g67n1tsczbDomsN8mr5gVJmaUwzP0+fudtYfGdRj5B9tH+8Ju+KgzQbyPsl42IdRhkQFRYd0GUzytGArjqkd6u7PTrigxbZ7+OUEvPcikusLxxQcZMSlTlC83ugJzNKYbJK4b03arvny7LSqLQ0TXTZZ+B0QqTXY/6/pRKU8UBTblvNrwPjJbijyCKzpDOmCj5YDn2QwuLnlFyO3VjLhuGqBy9Gc6H+YsA3gLgaQCumbNdFRUV2xgMQktbN3r+aGZ+CBFdz8wvJ6LXArhi3obNC8wuV7NrYdH9mo12Tz8doFX5xXa/xsJcx55hNqtRtpZilNlYYsuq0eFSfIDyqr+PfWriwxSGueb8rWz50mQbYbIj5fcMPseIbWihCBnPiurq+15JqnWiHLlghwj8jkc7k8/roy4jIToCN5w/Dyvr7ryPPFuJzeDQlsMzTu+vtCTbdMuTrjuIYpiGmDWt+OsQxDGUaLNVGul94IGFrqeMM1lXMNJ+3fLDJjBk+SzXNWF1JZEVW+h5Xtiy03MAd/nXO4no3gB+CODk+ZlUUVFRga0XCIpwFREdBeDVAK6D+5H6i7laNVcwuOWQEymVPACw826Owdy56phZe2ByPt2OYyQnz11gkZFb90IecfVKc0B8iqpvuLBHvzyOrosflIJorI/Adxu715iJKDmxwDDbXNasi54rseNQ7ePZqtErXYtkWBVHYbtwp6UR5XbVucnHKx17HK+6HNcDK+67AyP3ut54n2Y0bZN/rJH3Za60PnvBj79DBKRHsbSdW2fIv2RgmCoHlYPvMRfUCILHB7ydcl314PH5UoxV/M+91VwybqgS6zuQVM6t0xfJMyq03zmTFLQqv5J7YCbacFuXaTKzqLS/j4iuggsGPXCuVlVUVGx7bDlpOAvMvB/AfiJ6D4D7zsekioqK7Q6mrR0IsrCQnwAiOhvA6+E8229h5lcS0ckALgNwDJy74DxmXiOiiwDcxMzvGDS2n4Ks7u6CLruP9qWPp7rpxR17nDt37Yc+fcUHfXbeo9vmsGPdNjLND9NzLwgST2tHkt4j4h4yvQpiH27cJhb5kOmalESGskpV5tjXaTKk8KjyQQsFoYtkG10uWSzrQ9AQDYEHSfxedbbItHxt55Fhm/2rThn/rtER7rPv8Lne+g6QkZR741NlVryy/K6RO+/k97g6SmQT3HfFvucy/TSmlyUXxNindyX9eHRvI3W+rcCZnpb3nVMdKNStbvumtbq/etgmEmQJjwVVBCD3xLrqtw4ENfxBojADsaw+zY06DWZ3ZgogohGANwJ4IoBTAfw6EZ0K4FUAXsfMpwD4MYDnzNuWioqKxYOpGfQ3CUR0NhF9g4huIKKXbtauvtrzv4X9cCQAx252xwNwJoAbmPnb3p7LAJwDJ0n3DL/OJQAuAvAmAHegi/T3gEANBWa4etjO8M3hniGs7HTf7TrKM5z96a/yKCox3HHEDr+ND9T4X9r1fe6XV5LoAaD1PYa0jNxolxtDglNsMJCQrqRSYEIQwFTplgCBZ5gyRsxM5L01TrQ/RH3XAxvS6TBaiAQAVtPAFa+kLEm6OK6tdnIGexvHOm9fd0zzrnXPRsf5dG3VB6x2r7jA28gzph1UKDcFMsakjyMcH5CzT8U4k3UVSKWW6aBSSA0DQs8q1tdbrl1SWivBrQkMc0gn1LDuqLyOZphSPLEWlR3LOZxhGtIsmGZEvn4JwB4AnyWiK5n5qxsds296/poNfjcrnADgO9HnPQAeCeAnUTfMPX49MPMibKqoqFgAeHbR8xL5mv1Dk5n/aaODzgjWz4zlGZ7oKiCiSwE8BQCO2rkD1DSR0lrHfBrPIFc889t1d18K6f2UoewuFsz17+PUpXgbeY3fS1dLOfnBH+oTy5vV7tda9ilpQ9lJEVtiX5KSe+vEFNL0pWSd4CtVewjsK2K/Ipe2lgqCyDoJKxqr/u++H3ywyacGHWg6xn9n61jn7Wsu1WjvfneN9q9TcngAsGtVGLc7/p2jqNwQ6PyWESMUppQxJkvaTjNMdT4yZhiNk0V/ZbncG2tdia2cQym/Dbb6c9ns7FKyRnKvabGTIAlnyOSxWteaFYR1tZCJSqtSgjCx/RiPceNNN4OI9kYjXLGR7rVTMM3jiOja6PPFzCx9zErka8PYaCBoEdgD4D7R5xMB/AuAo4hoxbPNEwF8d9JA/oKdBwCn3eOYuftjKyq2M06+333xwx/96PDJa/ajHR5y+QEzn1H4znrybuoZsMwPzc8COMVHy/8ngHPhfJkPg6t/vwzAswB8YNqBqaGkz7ZAGGBgd5IMHj4byduFdWKGKZBlOhFeXoVhWvvpBil8l7SLsMUxaCQR9+jY5Txo36ZmGxHTFIYpPePZl4yyEWlvZJkI864rmTo5rMindqB17/evu9c715xNawc8qzcC1eMdqkQxlFW6/TXrnf+N9ovdPrKu+58bfrmSPzLzRcY2KNYe7hG/bizm0k5gmvFY7H282s6uFUre9zwTENatMSzoKH+r2HV8T1jlnpsC9QsjD4dFviYSrT4sZ8o9AM8kXwjgwwC+BuDdzPwVAL8P4PeI6Aa4gNRbD56VFRUV84CrK5pJN8pAvohoBxz5unIztg1ROfoogKcz80/856MBXMbMT9jMjoeAmT8I4INq2bfhnLszARm0RV8GUn4fNnxe47UD/tUzjzZnK7Kv7jUV4TAh46joeRbV7RtDfxez0lFw7vrXtAVEOI71ONKbsqzWswzx1VHk36Xg7xQhCtUvXPxlGRPqoA/V0MvtDs2PI+WUowM+b3MtyteU92tGFHgCgi9TGKby5zp7FePWUXQZo81914Og80CHIIus96yrGGwmRtwXIZ9hFc8soufMvE5EQr5GAN7mydeGMWR6fpw8ML0RPyain9rMTisqKiomYVbJ7Rb52gyG/FS1RBRKJonoflhAcntFRcV2xrCp+cGoGhrCNC8E8CkikhSkn4frh75l4VSOyidbpuOSghSm8MY2MiXV34VE9WgKJssk4CTT2G78/DdMpnp6SpdNmdqo9NJwDSjjjGWF89EaU0mddrOubLMyw9QcW9JXJFCz0nbT/x1e2X515MbbuZr+Ro8i83es+HW8vuUO8tPysfRo8ulF0fRcAkCtBIQOpGlKictGnZfs2I2ULNYuEz1dN103thamFEDEpZM6aT5DSC/qX20iionweSFESDObVf90pOWyy4QhKkcfIqKHATgL7jK8mJl/MHfLKioqtjWWtfa8r4zygcz8df/ABLow/X2J6L7MfN38zVssMoaphTRWcgYV0oi8SreMISkksYNfl082UlapxjdZsKSriLK3BCLCr36eXJ2lJ1kMsxhUUKkjPb26u4CWSpQH8uT5MJ7vG+4DRKvjLhizy5dEHu4T4VuvSL7DX5cmigQdtuq2lzLKnXDscfWAq6ht1nxlbZyILQEgSZWSpPzQzTE+tgGpOdMiaLl2i1ixR62xKvcMgC49LDDZNPncrKQxOnman5PvJElfZlzpteTIJoqLLGZ0qrbcQxPA78FNw19rfMdwNeAVFRUVcwCBS22ZDzL6yijFb/lEZk70tYhol7HJlgIZQgjCMJsdnvmtKia4mp8uSd5u96f+yXYt/wXPmKuMLwy2T7qN09SjkMKznpZMDkI8folpKL9VUhqp2I8uF4z9b80On4gtQh1atd5LiklPHwDYtXInAOBw35VT5N8k6T22eNeKY4uHj1zV3q61O9x4a+4zHfD9keKSxUIJpCRTJzKOKm0oHGlQMTf8fo2dciSfhzwKQtqWMHXrnEq/paAer8RR4gHDeRchkPReTvsXKaX5lXQ8Mkp6OSmKmEGqEIB2SZnmEE/rPw9cVlFRUTEbsAsEDflbNPp8mveEK3bfTUSno/v5OBKupe/WBBGaHSvB9yiRbCD2NaZMkDTTjNmZ+JOCz4jSdeNdC0OT8aW/uUp2NxOdwy+5Km2bFEmNEXyPeXSYNQOUVxERjnvg7FCyZfKdMKk40rtzV/KKlfQcSpL7KCpz3LXuWCJ70edVLzC8ztITpzs/O8ltt2vstlk94Fhq4xmm2c1Rs0M160js11HhUplgdE5Jy7qV/MaG7zpcG+ULTnzCBdbeZf9Lr/Tuq3DGVhTD7Il6B1/mWCXni63RNqGL6TYQIe7zaT4BwPlwtZqvRfd/dBuA/zRfsyoqKrY3tqZP8xIAlxDRU5n5fQu0aa4gIoxWVzL/onuvmOZKyjRpNWWGAAJraZTgryXgUBpPR5Y5jlTrcXTeYMiNjNcpMBpKWUzyXgl2BJYRhqRsG9JCF7JOJDQsTFUk4XjVScAFhuOPdRRFz1fXUy3pFS/3JqIeFOUPrvh8zB2eYa741+Dfk26asf3CANVsIMwodkR91bWQiZZHC2P25P2OBvisVZQ+lLdakn1KbCaw05C7a+d8+pXdKhIBV/3nLXCTZhdYPtPARpvZiBBL7fkyYsjc7uG+hS8AgIiOJqI/mqNNFRUVFWCmQX+LxpCKoCcyc5iO+9rzJwH4z/Mza45oCKPduzrx4JhpeqHX4I8s+ZV6KkaaRvm+4qoJycP0TIZKEeW4EkOLOxTyJdPKI/VGi3FErIIlihoYR/o5MML1KHou67aekWk/VuJ/8xH2cKyrqS0eTSQSHNii5HL6aqHAfuNmdZ5Jjnz0PVQAtSpnMTpmUn490r7YmGlqBiZsS2UzWL7lTLBDs8iYPWohYXXNUj90gevobY3ZQWCaimFyfE+o8Umf9yAnGOcG55Vpm8XsGmfMFkMemiMi2unb94KIdgPYOWGbioqKig2DQVu3jBLAXwL4ByJ6O5yr4TfgGppVVFRUzA1bLhAkYOY/JqIvAXgcnA/4D5n5w3O3bE6gpsHK7p1RKVtUCiYBGp1YXNBFjJdll9eYysu0kHZ4oi6f9XQtmu6GJHadaqT7cFviCqpnTBZciGwI02c9HZVE5nj6JutKd0LdodEMNPnUJS1sEnrvdIGVJmh6qv4+ajkANL7HXqP0OrsdSDpRdKv789+VSEr/IhFSiTpm6iDdAbU8CKhYaWITgjqxy0ClGmn7e8s4C4E/jhPYdWqZfFaBP3Nfal2tLwug/z7cIJY1EDSo3QUz/z2Av5+zLRUVFRUOPNOUz5liiHL7WQD+DMD/BmAHXB7DXmY+cs62zQVEhGbXri64s5KzoqLMlcUmVKJ0ll5iJCWTLi0Utmf8gndMTPVpOaB67cR3mGwTjlHtJ2JS8p4LAZpwzDFp0cnOIdHeL7DSY0p91ZWCezyMsMamOWBvC3TFBXIegiyaKi+NZxTs0590AC6sGzFNzXolpUzOrcWwdCBGBWHM/ejAW5+QRim9KRPjiK+D7gPvjyfMEgrbmetKCW+UdiXnf0Y9gpY55WgI03wDXF+N9wA4A8AzAdx/nkZVVFRUbFmfJgAw8w1ENGLmMYC3E9HWrT1vGowOPyxLAwF6/Eo67cf6NS2llcTyWTrRW6ccGQnGgT8qnyaNFNOMbdI9rYVhroovNUp+mJTczGmJJND5JalVTKqvl7a2LRBCg70rP6qkw3Cff68kXSfbrnbHHBL2R7b/0zwXXCqfNBLJsz7kMoNRvs2I/eqULM2CBwlHW33bNYKMnLBGfz8l11cxcFlHSlL1K9D1WdI+5Q2DMN7CD807fRe3LxDRHwO4BcCmexpXVFRUlMDY2kzzPLif0RcCeDFcD+GnztOouaJpQLsjvRErwVhHaYNwgWec8XjKh6YZZhKJ1QxTR6xD4nFfSZ6PUAtLGeJL0iwmZjiKxek2Gt3n7qhpIx76wHD0F0a/cL9SYFshu0DEPiJWZCS8x8uDX7eNov+SZqyO0Rxr0rFaDFD7xvVMYpSzXw73hvhbV9PjGNCfvOv06X2OUcFAEFXx32XMPJ5xaf8zK1baWiIos/VpWiYuC4akHN3s394F4OXzNaeioqLCYcsFgnxuZvFZz8wPmYtFcwY1DWj37qm2CZHqQl/0+Ls8Ym3k/OnovGaYPTlz7UjYkB0Nde+VT6tQOgcYEftCNJosn6mGGd0WP1uBgVh+UFIiJPo8UcH/mtiiRUrySLXsW/uN4772IULsfYDFpnWGSLNmmHqGwTs6Le92dZdfx7f48Ow68+fGh6iuVSghtfqTSx6s5NZqRtjk7D3zzY572GTYZkb0cIumHD15YVZUVFRURGAAbbvFmGY0La+oqKhYOJa13cW2S24HUQjITIT06Japx3qqtpONiwlpJVpRqJSak0x/7al1S2kyemyTDor0Qicuh+m0mpb3jdlXBKC303OuMD2PluvSRVXqp1NiAHT9fbQbwFSm7y9eiJO2RUWfgqakD1LJMcpQfaWjKpldB33i92MfHBqPdibHavn3Gn+szThVdtLdKQGEXkmhK6dKo4vLTEkHrnRgUqWyuUV5CfBmsWUDQajJ7RUVFQsGb0Xl9hiHUnI7EyVlhL2/jDogsSpssscRrn6dE9EEXSKndQtF8KIn5UgQGIgwhGisLrChxCSs9CGpn9vIr3pWmiesMtZZlEWpDVmKUPJJktolmCPnMtd+FGTHGNippITFdhfGMcRJ5KyGvjjyqu+BJmea4dqr8tUQ7ImY5liYpmeYrd+27QkESbYWBZadph7Fvd7lfejKqYI5HCWlE0vASo5NglJyPAt4mC0oEERETwdwEdxM+kxmvnbSNjW5vaKiYimxoOn5lwE8BcCfD91gaHJ7g0MluZ3I+ZosX5qWWwv9VGTVQldBIBdasEQ/VH+WzDTxn8XScI0wM8+2Cv44NhO+ldhEIHcGEwxGKHYXSiQnswsS1W4rOdzwswHI1cYTG8SH6ZmOSsNJIEwp9DZS5Z/R+G3wNRrdRQFQpFIfuovqa9eTsqNV8EM/HrF/pERS4mMqSrbF57/wNCkloSNKm9N9nQKiNDTVd0oXCpilnondm2eiDCykjJKZvwbA7ttUwDTJ7ftQk9srKioWhCmY5nFEFE+rL2bmi2dvkUNfcvs5AE5k5jf6z1cDON5//RJmfu+8jJovKGUWpaRroBwxjhOBGxUt1yWRxq9xho2IHAy4ozqWkvZ2oZhoCtMWN6u4OIMzT/ZTTigPZYgQhlNeJ6BJGVUSMdfMUid69/k0tWCuHEa8jWQgBGFkJVBhrCvXuetyqbIKDKas+xN1fmgpkczvh5CoHkp30xLPGCF6zmlpZJipWE7BMI7I+aVC1W4VVbqpGGa7mpZ6xscGolkQTTfm8IfmD5j5jNKXRPQxAPc0vrqQmT8wrV19TPMlcFFzwU4Aj4DzZ74dwBZ9aFZUVCw7mIF2RtNzZn78TAby6Hto7mDm70SfP8XMPwTwQyLa0oEgbqjzv1GPf09vZ0UwlfxXiJAO6Ccd/Hxh98LUJv/ElvIqHVJ2UmKcbiDJr0u7N2bMsO9nXwQiwpgRcw75e+nnjKHHrGVF+f5UBNm6DsLaOrEJYXs5O5USxbZRvs1gc+xTdts1fp3QNdMQT85tUowt2G8wTDVOI0S2R7CjE+hIbWEtfowuDzPkl+oMjfieCFH+VFAmCL1YjD9co9n5IZc1T7Ov3dvR8QdmfmH08XhUVFRUzBHjdtjfZkBEv0ZEewA8CsDfEdHE/md9TPNqInouM/+F2slvArhmc6YeZFADS5JsMEbGL+xKylo0S0qg8+nkM0meZt46IauK0bJd8VRGC1po1hV/paLOVi5nEcGfp9hFzHCE/eg7LTtvEdPU526APBprFqfOe9LXWzGlllImm7C+jLGmPs0sP7QPveLMUpmlWofo9h3GNsX9xPep90MWK3eMZnudnz5tx2LOuMKsqY+HDcei9DSZ+W8A/M002/Q9NF8M4P1E9AwA1/llD4fzbf7bDVlYUVFRMQS8vNPzPsGO7wF4NBE9FsCD/OK/Y+aPL8SyioqKbY2tKA0HAPAPyUPnQUkEEHXdBM11ZMpVmB4kDnCVDqMSl22nvy75I/Vq6F2q5OcsaTsuo1TCFpn+ZFxGKfqcYbopSfRqkwF6jhKESdbUqvc6cKbOW7JsQHChGIhR9iaBIEoV4PXUPj5f7HOvGnVOu/OVBmN6bZIx+6bpaowh62bX27uIKAmu+em/LBAXkNbMRByks/sVmR0sE4MmmjwRbnq++XHmgUG15xUVFRWLRn1oLhGYmiBUkfyKhi6LE5z7MavT6tw6IGE6zVV6T2AKxqqKyWYMTYlZAB2T0qV53aDR3RhSgeQ7XZ7pbYv5oxpP2FbXnzxOlPbpSCuKOWm7E6asxxdFdRUsSdaxrxUrNpnsu8Di0uVu3LE/p2JLSD5vJYm+2yYkm28A+nwXryEQriPLvawS8WNhmiwdSc99e3vVq30Ly95MMHUSePOR8XlhWz40KyoqlhtOuf1gW2Fjez40iXr7zHSMppB+Y4hjbAZZTxajB7X4/FrNNDUjibYvpdI0MUMInTdtm/rG78ZNfafxullqThi/z09pz8v6fIWlbaaBJY7BhXMo6TDWXST/7GE2o9NwhqROKfHhvjJK6WkkZaHShTJJ2g+CKeLD7HkiKaERDfP/Yhrh64Go0/OKioqKKbDtH5rktJdeD+BJAO4EcD4zX+e/ezGcBN2rmPlyItoF4JNwOaErAN7LzC/z654M4DIAx8Dlj57HzGtEdBGAm5j5HRMMSSK1fcgZp6VEYSf8kvI3lWwBFIsDkuh8KPkLTDNN/O7Y5GT2G6TiIpOakCmQivUGdqSj9cgZrPjQGl8+2UbnV5f6ZTYhFyWW896obcI57SvVCwzZENLodlDeHun5Cz5RSJmml4qTALI/f6O4HDdsoxLssxJPoxzU7ycXH86PWdhux36VBF18/kap3OFGmGFeuht17UzaosyA9S9xN8rZpO8PwxMBnOL/ngfgTQBAREfACYGcCeAZft39AB7LzKcBeCiAs32vIgB4FYDXMfMpAH4M4DkLO4KKioqFgZkH/S0ai5yenwPgneyO8jNEdBQR3QvAHf77qP00c7R81f+xZ6uPRfdwvQROqv5Nfv27JptBjqX1iiekv6S9Ps6SDFiv38ozhMDm0u/byBcVGObIlcGt+9fAOBUTskBImVvb5N9FxqmPOZOW921gxG6bseS+RtFt8qy0aZTARTjHxvn3LFHGz1pjmIIdSNctlJImi7J15VoarFqYJlTJqxmdt33gnZ+4zDT1Oc2yMRD7bzmxkZRPOW7cpoVZdLlsco71g0h9Npvt6XFnAKu9+jJgkUzzBACxatIeACcw8+0AvgTgWgCXy5dENCKiLwD4HoCPMvPVAI4F8BPmkNOxx48LZn4NM1+OioqKLQ/m4X+LxiIfmhYVYgBg5v/CzKcz87vCF8xjZn4ogBMBnElED+4bo3fHRJcS0V4i2nvTd//XBs2vqKgYghtvuhny/+b/Lt3IOC0P+1s05jo9J6IXAHiu//hZuP5CghMBfHfSGMz8EyL6BICzAbwWwFFEtOLZ5tAxzoMLNOH0U3+GebRqT6sUmsJUJhm7oJVY1KVET5DI6Ost03CZliSbU3wAABwvSURBVI/llZTyTPR7oqfcITXFJzA3nE+1JYgTSiPVGG1S2in7mnwORU2KVX+lYjpOtIxI1unRJM22HTClL/RXss5ln9ujiGz8ydPy0jm13DzBvcNqXaVIn5ok24iqu/RMdwUJibATp/d9VuyhehEBCHNp4hYnn3Q//PBHP9q05u6yRs/nyjSZ+Y3M/FDPGN8P4JnkcBaAW5n5Fms7IjqeiI7y73cDeDyAr3tf5z8CeJpf9VkApparr6ioWH5wy4P+Fo1FBoI+CJdudANcytGze9a9F4BLyHm2GwDvZuar/He/D+AyIvojAJ8H8NbpzCC0oxW7PFCBC4GIGCXxBytoJOV1XUqN2t+Akj9hfFnaTw/T7NJlfOAgOh5hndJnW6f52N6PSQwzEgTRQYQCa0/GEnX3bNjh2pJDFNWHlVGmCExc95Tv288gRj4cpUKBLkBnME0lNNLJdaaiK0AU6GnT3kO6W2vc7TJEbTbS78oA1zLKEBF/wcB1rwdweuG7b8OlJ1VUVBzCaJc0UXPbVQQxEdpmtbf3Sli3wCJScQw7xSgIO0TpN9z69JvW+ZHKyloDmI6kvMjyiJdpP5wuGaUoJWaM1WTc4NuU1JqCj9N9p9mdZzER25Djn1SSGrOwSee0D5ph6uOI9zWNvzKME86DOj8942+EYQ7rtVOaURgSdxDfdZoqFTypSfqQZ5DrwjTVMYZulxGrXBff6GzoYZWGq6ioqJgGBymdaAi24UOTQgQaGOa/0uu2TRxJFh+jKqMMCeWd32eEA2qdNJLcfZGzjCZ0i/T79mw1RJjj5HMpxVOMrZfB+nFaX4oXGCLljFmzT80wk3ULXRu1XzGOzreqJ01mazKW/s9aMZfH2+hyzLwENu/RpH2Y/Qxcrokuo+wreCj7qPV+MjZd8g9TvI1dkhp8mTFrVD7MLJldvl/v7me2Et43BUa7pE/NbfjQrKio2AqYg3DSTLDtHppMhPFoFXaefFjLv+r8wFRMAcjL7Lo1/Rhp7wdvg/cv6dJC014l6xYYpvioPEM0fYI2a7F9ecJ6J0c/Swxz5G1L2mlodqJzGK1zqsRI9FhklBRqFtfP1IzSQWOMzUL2qfmSJcKhj1mXbcLwmWbsscfPKrOZRjNLnYsZL9P3ZV/nTe3v3CSYgfG4Ms2KioqKwTgYYhxDsA0fmoSxkcfmvpFf6hITmRwF1f3Ik0qaJmWaXb6kZgg5UxPbRt5H2jE0YV+R8G8j0U0k35Wi0vE+xR+Zv8Y+QZth6j7u6Q4K1StG8zedi9oJa+SyZvpYNMvubI5yUyH+WpudThPt7hjhgHWDHzf3g5fyb8XuEaKcyMynWWKE0X2kJPoyyT6DPQYbJKFYqrrM1N0B4sZTgLG80nDb8KFZUVGx9GAclGqfIagPzYqKiqXEks7Ot99DkymdnqfOcj9FDcEQnW7SJsvjdcM0XE/pjX4zWYBDTc/jqbAEfnQ6T0hK9r/GbaLh6Mfzy8ZNmpjNhoalno6LG8BKWA/26nSivmm5CnSEwIe/FuMm0hBVwRA5byGVKZrW6v7gpcRyMibQ+rz3Jb3nBQLyefqyQXEpxPeB3JN56poKCCEWV0nHzRP72/w7fS+b18zbEG5pOYcKMROk/H9js6gVQRUVFRUDwcxoFxA9J6JXA/gVAGsA/geAZzPzT/q22ZYPzZZGZgKyMBlhACXGGSMEjQo9aVKmWUgB0k7/nr7Zwiw1+433SmNRPk/XaVWHwxjCboXZCtMU6TCLkeik/KyvECLlebIDP8IwWyMQFPajmGCcarORkkiNvrJHnfrD8qoKHeKUnXIKWaqybxYkQDNaXb6Z35+d/WkqmIm+tKFup/5V+p/rkl01VrSMxxvv+a6xoOT2jwK4gJnXiehVAC6AEwUqYpEixBUVFRWDsYgeQcz8kagTxGfgNHp7se2YJoPcn6SzxL/g/jWI9mqWYQgLdz6z9Bd8SNqKZlTCUmO2IeWNFJiZt1H8iVYZn+oJxMH5lXGFbhvly2zW1/wYPp3IOOZMbEN8dZEIbmCSynep/ZbZuUiMs5O5E7t0OpLaxvJdawYbjs+YHegUsu665GWglv90ltBMNZSDSndKS7CDxB+cikEH9N2v6nCCnFycstWIyPFseBjzQfFp/gailjslbLuHZkVFxdbAFCTyOCK6Nvp8MTNfLB+I6GMA7mlsdyEzf8CvcyGAdQB/NWln2/6hmfjCAtOz0RjMRHeDzJKqYyaoWVChvZHFdMR3JrnD45EvozQEMTIZs+D/zG3syjPTZGcRTM5afgDBqdOJTKRtFuJIuG7PoaPEvSIioSf6FJJwihla0nB5B05bYMPZp5hZFq0XX21sS9paokvAT69LIhuoOmFyScwltk0xymCD36SJbAo90VU/9cBKm5hOKr+qMD4Zb5RG4ucBZsZ4uArxD5j5jJ6xHt+3MRE9C8CTATyOB8z3t/1Ds6KiYjmxiOR2IjobLvDzC8x855Bt6kMzgmYVIVKqXs1tBkAzvyHen0zmrUn9rOJwSnqNb8I5Xoz8ms3A0pJIYZix9N564/u1i0/T33K9ghqBkSFZV7/Gdk0SHy6x+kmYtF3HIg2WWrg1Anu3boBQsdgjVyfjF2Y3mnECnU88ME31mpiqpeYkiB6SSWTbPHre6xudEguqCHoDgJ0APupZ92eY+fl9G9SHZkVFxfKBF1N7zsz3n3abbffQ9LHzQtVHKkjQy3CybdNcP8uXJmhUZU5fpD2zQUX9rba8vXl6U8JsIZvlWno/pbQbbmKm6Zf5thpjTplmXoUVyd159iYVMOLnSxi/9mWWjmPItRsgSN0MOLfhGk0QZImvUyPbNGmUfphIjBxbgXECaDj1O4vvmq2ZxYSZSjiT0dNDfKaz8nMyFsY0p8a2e2hWVFRsBWw+B3NeqA/NioqK5QNjmuj5QrEtH5oNj82k6kkBlL7k9mH7Tcsa88Tp8jQxT8D2NlslkfJdcapUTojP9mccnvR6DyWSOhBEUcqRv8VkWr4uqS9qej6K3AAsIiGk7Ddm2JaghfX9NEhV3tOULp0uNE06VFaQEG3aavUNf97DBD9Jc0tT47rAmQ4w5qWXpYBQYq/uXS73q6wr16qNFPSTqfTmk/vr9LyioqJiGlQ9zSUCs/vllx47hvjDNMjEJBTjsbsI6kCAKn+zzNZSZyoAYnFKGS/roJhIzxW6RQbxDfUZEUvpBOqUjRFrLATTWpbk6px1RblG6Wf9PXImmTFOI2G9lJ5kQQeAJqn7p7DvBatDJynFc6tLZzeqnXCv74X4bg7iLaHPfcomm0hoI59RSZBHiX3EXVln7n+s3SgrKioqpkJlmksCgpNek3SfpIdPSGK3/WR9rCKXL9u4EztOjyl1ltSpR02yvSqfDMeRsqT0O4XAeo3Ul1K/8ODvixiUkjYLr8qHlxxzOP9GljZS1gvl99TSap1tcaa3XCNlk5FWpO3uxJj1ebP8eBN8ezGTKswGZL9tNJb2hU9inM7wtC8WRQUImdUh9U4xSykLhU6pKhzTJsCYB3udDbbdQ7OiomILgIHxeo2eLwkYxJyLWqCHpWTiD902WfL3BhjmECFdy1/ov8i2naZDYsmWrD+5IZirbbGY2ojWzXXXld3TlDlaIhZd4rtdiBD7PsO+hKXKRxkrETRJfX/5TMIorc18454t+tnBSPab9G/vL/c0hV8mILYjbBGKDRzkARCz94bSFitR3wtva8o4DWNngJqnWVFRUTEYzAC3lWkuDVJfTN4kTZCXRBoyY8KYKI02D7Rk4hqZ0KxOnFQlh7G92rdpjq98pCFarvdrZhak9gdfphcuTtYU32bwceZ2a/vlejQh/7AnN3ITjb2ycxvn4WrmGg65p/Q1Kz1NpdsCI08c0fqYtOBILlISPhZYqtXUT19HzTiBiJUq32aQFkSOzYjElFAbq1VUVFRMgTo9r6ioqBgIZkZbA0HLidJUHdhYylH/tK0/HckKTunpmWg0dlMvmfNFU0pOp5QcktyN5PNs2uZTsXo6V2b2KkYQpxzJVF166nQNKyWVxk/TY5UmmZ5TOi0Pvdit4ItKIbPUmSahDQUKA45Zp0EZgTJB52bw+5FE9kTvMk13y/dXDgRN6nmU2BnKh6W4IFWqAjpl0LZNtVr7Uo3mwQrbOSrDbwbb/qFZUVGxhKhllMsFq0dO/H5yOaXpCh88xkTGaSSHly3J04u65Oe0q2afbqQwj1IyfWKfTgaHXWIYL5M0pKynuxf3sI4zBIBUKpOlaanLWLkkm24cmw4E9WwaMb9ygKzU1z4EyFSiORCl8QSGPJntdtu29uee/u3atpiZh77qchtxer9a/Yv6ehltBAyuD82KioqKaVADQUsDAhNFv+w56yz2w55BiaQ13oa2VcwhTUVK7ZfUI1NmDNoXKIyzT8U8TR8SJtKJWsQMxGZFwk6F4dipR+n16Jimldw+3K8n+9K917uxYp9val+XGD8qbpMfh98mODVzxqnt1l1OrX1NKghIO3DaNpn+SS091+XV+Vf1GTb73BQYaGueZkVFRcUwMBjteHZtW2aJbfnQZFD46d1IUu40DNGSSZs0nlUS2cc8svFUQnYQJTGYlWaWfX3IA1T5od6PWbKobezrD++hfZl97KgLy/sXXf4Y2ZQXOcpGeQYE6+wEZWax6CA5jtS3bPX/Kc5uDN9p51tUEnHq+2RZoUCDesSUu5mKjJEm+Ce+ZYN9bgo1EFRRUVExHepDc0nA8L+gU/TD1jl/0/Q6t4UudPTWjua6Zf1CFEP23QnD5eOLr67kJ7NKF4sR2PB9OeJesj/xgyo2lLeW4GTLIbDyHDU37M5F+Z7IIu3GdcnPT7qNblPhPtjiF+b5Ur71PFqv/K+IGaX3CxfEp932pRJaladp5JnOjGmCa55mRUVFxVBwnZ4fGrD8S9OsK74s7T9s5dVHoftyDEsivonEXWAaaV6dxYpKzK+UIwkYkd7MV1eQDOtBzGR1Pma/L3P4uHp8sb/rq658wCjnrfYx/2JOpPZBTnE8ZhXUpPvQ8m2qDBF9LuLt2hDd1/eyVI11mwQZuU1khGhUlaOKioqKoeAaPa+oqKgYDEaVhgMRPRDA2wE8DMCFzPya6LtzAbwEwDuZ+U/9socDeAeA3QA+COD/ZGYmomMAXA7gJAA3Afh3zPxjIjofwEnMfNEge0xnv52IXdIidFvYJXP29Ny973qB++m6d7CPOd3WsneF1NS1IPTglqVBntYYXyclj9T4ofwx0sjs+takSeLdcU6enneJ64ZIiSq9LPfl6aBTsvKk+ty90LSpqnw3Xe+mhePGjSPXTE8/e8tMdZrPADfDkAKKrHNo4Z5L5TptIZCglRlFdbR7JQ8M+TLLNl4n1m6dQTBoiUWIZ+eAmIwfAXgRgNcY350L4BEAziKiI/yyNwF4HoBT/N/ZfvlLAfwDM58C4B/854qKikMKrvZ8yN9mQER/SETXE9EXiOgjRHTvSdss7KHJzN9j5s8CyGW9u58mBkBEdC8ARzLzp9kVoL4TwL/165wD4BL//pJo+V0A7pjWLuI2/A2F6zBEWZJ4kl7kP8frthi5P27cn/+8zvK3gnVewZhH2V+LBi0ajP1fPG7pT7bR+4v/9HGE8+K/aXjs/9rwR+z6LMl3Q89Vb6lhdB3CH6SXk/uzrpM+70PGbdqx+/P2j9p19zc+gNH4AIjH0Z99b0w6no1C7y+cOfO8KJuMe27SfTrBGkjZMVP/NZR1ZgnmdtDfJvFqZn4IMz8UwFUA/mDSBsvi07wCwLUA/pKZbyeiBwDYE32/B8AJ/v09mPkWAGDmW4jop/z7y4fsiJoGqzt3haiwrhyxwFnU25gKF+rU09a0fhoeouYyTW+SVwtNmDq68UZ+3Ab59DbYECK88rmskSntckd+nRW/zsiHSLspcryRnwr7KOtIzlPyW6z3paaqaioOdNPPkcottKpmuoode3qut3XHUmqK5rcddf8WjVdhahp/rfxnnd+ajpJOeSUTYXNZAHk9f0m9SpYnDe5aP6Vmf63Gq35cWSeqmJLsC38emOxcXtvlMSNdBma06/MPBDHzbdHHw9HnA/JYiocmM1+Cjj0CtlNkwzyciC4F8BQAaJoG/+ap5250qKXFjTfeiJNPPvlgmzFzHKrHBRy6x/b5L3wBRLQ3WnQFM583zRh7b/3mh//7VY85buDqu4jo2ujzxcx88dB9EdErADwTwK0AfnHi+vOUXyKiFwB4rv/4JGb+LhFdBOCOOBBkbHcvAP/IzA/0n38dwGOY+TeJ6Bv+/S1+vU8w8wOmsGkvMx++0WNaVtTj2no4VI9t2Y6LiD4G4J7GVxcy8wei9S4AsIuZX9Y33lyZJjO/EcAbN7DdLUR0OxGdBeBquF+BP/NfXwngWQBe6V8/YI9SUVFRATDz4weu+i4Afwfg4D00YxDRPeH8lkcCaInodwGcqnwKMX4LXcrR3/s/wD0s301EzwHwLwCePk+7KyoqDl0Q0SnM/C3/8VcBfH3SNgt7aDLz/wJw4hTrXwvgwcbyHwJ43CZMuWIT2y4z6nFtPRyqx7aVjuuVPvDcArgZwPMnbTBXn2ZFRUXFoYZFJrdXVFRUbHnUh2ZFRUXFFNjSD00iehsRfY+IvhwtuzcRfZyIPiAlmUS0k4guJ6IbiOhqIjopWv8Cv/wbRPSEaPlNCzyUDER0trfpBiJ6qV/2ICL6NBFdQuQymUtlYOTwX/321xPRw/zyk4joEwftwAooHO/J/np9y1+/HX75RV5r4GDYuYuIriGiLxLRV4jo5X75O4joRn8dvkBED/XLjyaiv/HX4BoienA01rlEdJ0PisqyD0Vjv5nIZZYT0TFE9FF/Lj5KREf75ef7NL6FY6tcs5mDmbfsH4CfhxMA+XK07JUAHgTgVwA83y/7bQBv9u/PBXC5f38qgC8C2AngZAD/A8DIf3fTQTyukbflpwHs8DaeCuCtAI4H8DsAzvbrHhlt96LoOJ8El3FAAM4CcLVffhJcbutBv34DjvfdAM7167wZwG/59xcBOP8g2UoAjvDvV+FS4s6Cy/R4mrH+qwG8zL9/IJxugnz3fn/sl0VjHhnt533R8f8xgJf69y8F8Cr//nwAF9Vrtri/Lc00mfmTcEIgMUZwkbBYbiWuV38vgMcREfnllzHzfma+EcANAM70631/nrZPwJkAbmDmbzPzGtw/1Tlwx8aIjo3LZWDnwKlGMTN/BsBRvhhgjPycHWyUjvexcNcLSHUG7oDTGlg4/PkUjYNV/9cXTT0VTlgGzPx1ACcR0T38d4nmgl9HrucK3MMovp4z01yYAbbMNZs1tvRDs4A3APhzuNSBv/TLTgDwHQBg5nW4cqlj4+UeocadmR+xIHstlOx6PVzy7aMAfES+JKJXENF3APx7dIID5hjM/B1mfsocbd8ISsf7E3+94mVg5tfwQK2BeYCIRkT0BQDfA/BRZr7af/UKPw1/HRHt9Mu+CF/CS0RnArgfutQ70Vy4lplvj8b/sB/7dnQPoERzAUDQXOCe6ro5Yktds1nikHtoMvPNzPzzzPwr0Y1YqmWfaY37DGHaxcyfZ+ZHMvN/YO7UEpj5Qma+D4C/AvDCvjHmYOssYNlqiXIuhf3MPGaninMigDO9n/ICuOn3IwAcA+D3/eqvBHC0f8j+DoDPA1j341zCzKcz82vV+E8AcC84t9FjF3BIG8GWumazxCH30CxgD4D7AAARrQC4O9wUNSz3OBHAdxduXY6N2vUuAE/d5BgHA5at/wLnUliJli2V/cz8EwCfgPMv3+Kn7vvhxLbP9OvcxszP9g/ZZ8L5pG8cMPY+uJLhc/yif/XuFdFm+N6sj2dKbMlrNgtsl4em1KsDwNMAfJydd/pKAOf66PrJcGLH1xwkG2N8FsApPhK5Ay54daW1IhGdEn2My8CuBPBMH0U/C8CtMr1bQpSO9x/hrhewJDoDRHQ8ER3l3+8G8HgAX48eaATnx/uy/3yURJAB/EcAn+RC6TARHRGNswIXzIuvp9zDy3Autsw1mzkOdiRqM38A/hrALXDCxnsAPKew3i4A74EL9FwD4Kej7y6EiwJ+A8ATD/YxRXY9CcA3vW0X9qz3Prh/0OsB/C2c3xJw06c3+u2/BOCMg31M0x4vXGT2Gn/d3gNg5xLY+RC4Kfb1/rz/gV/+cX+evwznS5do+KMAfAvu4XcFgKN7xr4H3MPoegBfgROpWfHfHQsXUPqWfz1mCc7Flrhms/6rZZQVFRUVU2C7TM8rKioqZoL60KyoqKiYAvWhWVFRUTEF6kOzoqKiYgrUh2ZFRUXFFKgPzYqKioopUB+a2whEdA8iehcRfZuIPudl5n5twjYnUSS9N+X+zhepOv/5LUR06sBtH0NEV21kv0NBRP/sX08iomdsYPvziegNs7esYplRH5rbBL5S5f1wFSk/zcwPh6viGNy3aQM4H0B4aDLzf2Tmr85xf1OBmR/t354EYOqHZsX2RH1obh88FsAaM79ZFrATN/kzILCt/8+L4l5HRI/WA/StQ0QvIaIveQHdVxLR0wCcAeCvvCjvbiL6BBGd4dc/24/xRSL6h6EHQUSPI6LP+329TdSEiOgmInq5H/NLRPRAv/x4L9p7HRH9ORHdTETH+e9EUu2VAP4Pb+eLNYMkoquI6DH+/bOJ6JtE9E8AfjZa53gieh8Rfdb/he8qDjEc7JKk+reYPziB4tf1fH8YgF3+/SlwcmWAY2FfnrDOEwH8M4DD/Odj/OsnEJVvymc40YrvADg5Xl/Z8xgAV6llu/x2P+M/vxPA7/r3NwH4Hf/+twG8xb9/A4AL/Puz4VR3jvOf77D2BceQ3xB9vsqvcy84UYrj4bQu/7usByeW8nP+/X0BfO1gX/P6N5+/hbXwrVguENEbAfwcHPt8BJyY7hvItWkYA/gZY7PSOo8H8HZmvhMAmHmSyPFZcG6CGweuL3gAgBuZ+Zv+8yUAXgDgT/1naR37OXgNS3+Mv+b38yEi+vHAfVl4JJzq/fcBgIguR3oOTnVeEADAkUR0N450MisODdSH5vbBV9DJxoGZX+Cnqdf6RS8G8K8AToNz2+wzxiitQ5hON3Ha9ePt+rDfv47R3duTtrGwjtR1tSt6X7K7AfAoZj4k1Mkryqg+ze2DjwPYRUS/FS07LHp/dwC3MHML4DzYgrKldT4C4DeI6DDANQHzy28HcDdjnE8D+AUvxxevPwnSLuL+/vN5AP5pwjafAvDv/H5+GcDRxjrazpsAPJSIGiK6D7oWKFcDeAwRHUtEqwCeHm3zEXQC0PBsvOIQRH1obhMwM8PpPP4Cua6J18BNb0Vh/L8BeBYRfQZuyrnXGMZch5k/BKeleC05hfL/26//DgBvlkBQZMv3ATwPwBVE9EUApTYIjyOiPfIH4HQAzwbwHiL6ElyvpDcXthW8HMAvE9F1cL7XW+AekjGuB7Dug1IvhvNV3ggn9fYaANd5u2+BaxD2aQAfk+UeLwJwBrl2F1+Fa7dScQiiSsNVHNLw0fUxM68T0aMAvImdinpFxYZQfZoVhzruC+Dd5PrErwF47kG2p2KLozLNioqKiilQfZoVFRUVU6A+NCsqKiqmQH1oVlRUVEyB+tCsqKiomAL1oVlRUVExBf5/5SEq68J709YAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "residual.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-3, vmax=3, add_cbar=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the best fit spectrum. For that need to extract the covariance of the spectral parameters." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spec = model.spectral_model\n", "\n", "# set covariance on the spectral model\n", "covariance = fit.evaluator.parameters.covariance\n", "spec.parameters.covariance = covariance[2:5, 2:5]\n", "\n", "energy_range = [0.3, 10] * u.TeV\n", "spec.plot(energy_range=energy_range, energy_power=2)\n", "ax = spec.plot_error(energy_range=energy_range, energy_power=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently our model should be improved by adding a component for diffuse Galactic emission and at least one second point\n", "source. But before we do that in the next section, we will fit the background as a model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting a background model\n", "\n", "Often, it is useful to fit the normalisation (and also the index) of the background. To do so, we have to define the background as a model and pass it to `MapFit`" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "background_model = BackgroundModel(cmaps[\"background\"], norm=1.1, tilt=0.0)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "fit_bkg = MapFit(\n", " model=model,\n", " counts=cmaps[\"counts\"],\n", " exposure=cmaps[\"exposure\"],\n", " background_model=background_model,\n", " mask=mask,\n", " psf=psf_kernel,\n", " edisp=edisp,\n", ")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.17 s, sys: 57.4 ms, total: 3.23 s\n", "Wall time: 3.25 s\n" ] } ], "source": [ "%%time\n", "result_bkg = fit_bkg.run()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "BackgroundModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- ----- ---- --- --- ------\n", "\t norm 2.147e+00 nan nan nan False\n", "\t tilt 0.000e+00 nan nan nan True\n", "\treference 1.000e+00 nan TeV nan nan True\n" ] } ], "source": [ "print(background_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see we have a high normalisation of `2.15` in this case. In the next section, we add the galactic diffuse model to improve our results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add Galactic diffuse emission to model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use both models at the same time, our diffuse model (the same from the Fermi file used before) and our model for the central source. This time, in order to make it more realistic, we will consider an exponential cut off power law spectral model for the source (note that we are not constraining the fit with any mask this time)." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "diffuse_model = SkyDiffuseCube.read(\n", " \"$GAMMAPY_DATA/fermi-3fhl-gc/gll_iem_v06_gc.fits.gz\"\n", ")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(lon_0=\"0.01 deg\", lat_0=\"0.01 deg\")\n", "spectral_model = ExponentialCutoffPowerLaw(\n", " index=2 * u.Unit(\"\"),\n", " amplitude=1e-12 * u.Unit(\"cm-2 s-1 TeV-1\"),\n", " reference=1.0 * u.TeV,\n", " lambda_=1 / u.TeV,\n", ")\n", "model_ecpl = SkyModel(\n", " spatial_model=spatial_model, spectral_model=spectral_model\n", ")\n", "\n", "model_combined = diffuse_model + model_ecpl" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "fit_combined = MapFit(\n", " model=model_combined,\n", " counts=cmaps[\"counts\"],\n", " exposure=cmaps[\"exposure\"],\n", " background=cmaps[\"background\"],\n", " psf=psf_kernel,\n", ")" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 17.4 s, sys: 2.21 s, total: 19.6 s\n", "Wall time: 20 s\n" ] } ], "source": [ "%%time\n", "result_combined = fit_combined.run()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- ----- -------------- --- --- ------\n", "\t lon_0 -4.797e-02 nan deg nan nan False\n", "\t lat_0 -4.858e-02 nan deg nan nan False\n", "\t index 2.129e+00 nan nan nan False\n", "\tamplitude 2.850e-12 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n", "\t lambda_ 7.488e-02 nan TeV-1 nan nan False\n" ] } ], "source": [ "print(model_ecpl)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see we have now two components in our model, and we can access them separately." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model 1: SkyDiffuseCube\n", "\n", "Parameters: \n", "\n", "\tname value error unit min max frozen\n", "\t---- --------- ----- ---- --- --- ------\n", "\tnorm 1.435e+00 nan nan nan False\n", "\n", "Model 2: SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- ----- -------------- --- --- ------\n", "\t lon_0 -4.797e-02 nan deg nan nan False\n", "\t lat_0 -4.858e-02 nan deg nan nan False\n", "\t index 2.129e+00 nan nan nan False\n", "\tamplitude 2.850e-12 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n", "\t lambda_ 7.488e-02 nan TeV-1 nan nan False\n" ] } ], "source": [ "# Checking normalization value (the closer to 1 the better)\n", "print(\"Model 1: {}\\n\".format(model_combined.model1))\n", "print(\"Model 2: {}\".format(model_combined.model2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now plot the residual image considering this improved model." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "residual2 = cmaps[\"counts\"] - fit_combined.evaluator.compute_npred()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as a comparison, we can plot our previous residual map (left) and the new one (right) with the same scale:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "ax_1 = plt.subplot(121, projection=residual.geom.wcs)\n", "ax_2 = plt.subplot(122, projection=residual.geom.wcs)\n", "\n", "ax_1.set_title(\"Without diffuse emission subtraction\")\n", "ax_2.set_title(\"With diffuse emission subtraction\")\n", "\n", "residual.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-2, vmax=2, add_cbar=True, ax=ax_1\n", ")\n", "residual2.sum_over_axes().smooth(width=0.05 * u.deg).plot(\n", " cmap=\"coolwarm\", vmin=-2, vmax=2, add_cbar=True, ax=ax_2\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can check again our model (including now the diffuse emission):" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spec_ecpl = model_ecpl.spectral_model\n", "ax = spec_ecpl.plot(energy_range=energy_range, energy_power=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Results seems to be better (but not perfect yet). Next step to improve our model even more would be getting rid of the other bright source (G0.9+0.1)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this notebook aims to show you the procedure of a 3D analysis using just a few observations and a cutted Fermi model. Results get much better for a more complete analysis considering the GPS dataset from the CTA First Data Challenge (DC-1) and also the CTA model for the Galactic diffuse emission, as shown in the next image:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/DC1_3d.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The complete tutorial notebook of this analysis is available to be downloaded in [GAMMAPY-EXTRA](https://github.com/gammapy/gammapy-extra) repository at https://github.com/gammapy/gammapy-extra/blob/master/analyses/cta_1dc_gc_3d.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "* Analyse the second source in the field of view: G0.9+0.1 and add it to the combined model." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }