\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/v0.9?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\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/deil/work/code/gammapy-docs/build/dev/gammapy/gammapy \r\n",
"\tversion : 0.9 \r\n",
"\r\n",
"\r\n",
"Other packages:\r\n",
"\r\n",
"\tnumpy : 1.15.4 \r\n",
"\tscipy : 1.1.0 \r\n",
"\tmatplotlib : 3.0.2 \r\n",
"\tcython : 0.29 \r\n",
"\tastropy : 3.0.5 \r\n",
"\tastropy_healpix : 0.3.1 \r\n",
"\treproject : 0.4 \r\n",
"\tsherpa : 4.10.1 \r\n",
"\tpytest : 4.0.0 \r\n",
"\tsphinx : 1.7.9 \r\n",
"\thealpy : 1.12.5 \r\n",
"\tregions : 0.3 \r\n",
"\timinuit : 1.3.3 \r\n",
"\tnaima : 0.8.1 \r\n",
"\tuncertainties : 3.0.3 \r\n",
"\r\n",
"\r\n",
"Gammapy environment variables:\r\n",
"\r\n",
"\tGAMMAPY_DATA : /Users/deil/work/gammapy-tutorials/datasets \r\n",
"\tGAMMAPY_EXTRA : /Users/deil/work/code/gammapy-extra \r\n",
"\tGAMMA_CAT : /Users/deil/work/code/gamma-cat \r\n",
"\tGAMMAPY_FERMI_LAT_DATA : /Users/deil/work/code/gammapy-fermi-lat-data \r\n",
"\tCTADATA : /Users/deil/work/data/cta/1dc/1dc \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/deil/work/gammapy-tutorials/datasets/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 38.5 s, sys: 2.26 s, total: 40.8 s\n",
"Wall time: 10.2 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": [
"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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\n",
"text/plain": [
"
"
]
},
"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/gll_iem_v06_cutout.fits\")"
]
},
{
"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 : (88, 48, 30)\n",
"\tndim : 3\n",
"\tcoordsys : GAL\n",
"\tprojection : CAR\n",
"\tcenter : 0.0 deg, -0.1 deg\n",
"\twidth : 11.0 x 6.0 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 : (88, 48, 30)\n",
"\tndim : 3\n",
"\tcoordsys : GAL\n",
"\tprojection : CAR\n",
"\tcenter : 0.0 deg, -0.1 deg\n",
"\twidth : 11.0 x 6.0 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": {
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8LpZXbOAJL28TLeJYy4H3W+4NIOGywbhjVYbTWadaIZIxlZzTsky9k14aqQEwFubrq5l/5F8I4fUAXp867pYiZkaKLHLIxCJcGQqW42fz8ttF9lk2xBRqDPvMyjUF2SMM6zGRpJByG2g/coyULZdAjptA5uchl5B1pcC2c/7L5VA9875arGt4ER6xWGfzGmBHvUiChnOMTkdiSpSU5zueUvF7MfXa/nlxByhmInoKgB8C8D5orviBEMJLiej9APwwgEcBfE4I4d3W+VMn2En5VlMqOeXa8JA7z8TUY1IdhLEKIoWpoYc6rM8iF2s0m5u/Ijnrz3JvpOAdM3VaTr2eUsxWWkzKuzoe/qZdHFp9A2PXRmrSJElelisDGLszPEz52o4265AQ15hqzzl/P9wBxIymi/NrQghvIqK7ATxMRD8H4PMAfDmApwL4XADfl5PY1Ae5z7lTRjrtA51OrkrNKYQpt87UlgVDf6pqsE90UnGEQkrhpUjZg6c0cxBT1Kl46Bgp5+SzqNRIvHpIurF4aCuGeQq0etaREN4sbVMn9LLyS9kVS8c9b4oqm4w7ZKL8EMLbAby9XX6UiN4K4MlAN0K5RqTlPUeNaLkmcpXyFKL3yoWXRmrUk9WM0wRpHTPVRzy1Mhu85AZRTiFk/rXigHVnX5f/gS+gpUq9Y3KXtX3y2mQnYBcVYSjmXFcMMFbLOV/6zoFXqU8dYZtyNej3DkhXeMnO29mI+c5QzB2I6AMAPAPAGwH8HoBXAfiPAD77kHS9GtoiZGA/Us4h4RylkFLLMXcG/1rkbKWVk3/usVbN2dlVi3sYySBFyscYlBHDVLdIrmr2iL4W/ubY56p0lMfc0OW6jqzHzs3NK0s9twlb5UdXzjkRLYfhDiJmIroB4DUAvjKE8C4A7wLw1/dNb4qvyRvvL39T81N427xY0JTrYWrnnEXOOp2caTtzkSLlkV0tkXhzEU8hZevlPMSFMRVWBTHFlSGPi9ntzaHskQy3RHIm5J8C612akkWOOrY6Gbt3UJGyVVb08iiPCsAmw9gs3CHETEQrNKT86hDCg4ljXwXgBda+Ke9lzjf6YqRsNbViNnkEba1PcZdIV4UkZz7PImjPxhT0cbmDY2q1ECNoTcIxUtZK6SLIOUXKqfMYKTeJp57n8ivn2Bg9FtPzl8mn3gdtU87sgXrZso+IHhOrD4YQ7o9brXGHuDKIiAD8AIC3hhC+M3V8eyPvb88NqbKUUp5TVbJHyN7AC31eqkBOVebAmJz5WKnKvc65KS0LiX2+UuIRtDenhF6PkfIUeCSZe86U6AuP7CwCiRHjaA7lqaQ48X7lDraR6nyKTTkq2rIlVmmP0hCVF/+GEO7Kt9LBMfxHGbhoxfxsNET7FiJ6c7vtG0MIPz01odyYYokchWwdE8vP2h+bHWuKes/JF/DVM3+JRM+d7Nnm2ZqqrGJFV7s3unQcYs4h5Kk+XW9/THXPQcjWABDZqecRDKtna1CKDpfLCZWL2SaRrACr3oWSU35iM+Bp916lnrvn4vLcW3O7dJpEQ3pk0JFw0VEZv4z9xztET9xnHotUVIaVZ86opn0+VcVIkbJX8Xh+7H19zFM6P1OKaJS/QWx6W85w6Kn7c46fSsJ63SINj6BTA2Kost0I+tzcD8DmzgUSizCRFUIqz5irwRQtVTp00vI9sz2WADgIAdNG8syIW27k3yEzuk2duCg3dnnfYctTVPKUPGKdjTkqXuan7080LAxpcrZG9nkv3D5EnDrHIsOpaVrHxDo4rUmVQkQxdyF126bSXy6Hwk2TT86kTdomK19r2bJNVgxZXyZR9lruHO3C8EhZq+nBvCSwK7L9Ee4YV8ZBmNrsT5G4JuMps2cdCp3mMSY7iuWZ4wqqxDleb/moaVsPfgbnS/8y/2pSznEt5Ozz1NoUF0VqX64f3JpUaUBEznnLZePWON/25DwgbvQqNge51zepYzCiioHxtWqS9uZHscrIajnczr9dJZHhv5+Mo/hI0riliFkSBZDfKeWRYOpLDTmdiVM+AZ/C1NhjTxmnymXukNoKtpq1Cv7oyyvqJfEmurdIeR8f8iHEPeVFjn2dOwexyYgGoqHq/cyr5bhjSx8XwyH3JnaeN/FS7Csu0k/N8O5hquxIdG4WzMiloSjmLFTIc0cAaQXqkXxqPg79mKaMjspFLk8cKgxS0znK5iOvy9+BLaI5KdOw5lTm4w8hzH0JRR8XU72ee3Gf2FpgPKLP8pNy+kwuy2VP0HoiJDkBkscfU+/THGrZ8p/nVh6WYo79WiGFOVEmWQi4Mzr/DkXsQ6A588fK9VjEgXXeFMzZkto3P76+1Je39fkWKXsvRW6i3ksXPd1RTznHxo7fx5cdyzOXmDUpa2LxOrMk4YzinRU5y/Q8e/Yl5VSYnybpHDJO5V+pZxW755znvH11RTFnwVLIU6IHco5NzfOqlbNXlnPe9UMeeSx97xrY9WHFOQ/uhVLKvM36HdllvJCTCN1IL3f7FD/wITZ5aXhpxUjZItTO1cH5oFfOHREbBJ26nlRlpWGF+eWAy4C+zjk5zktv6pSoUZSojHxU6tfap5f3+YyUBesLvvqxTXnPvTRyz7OQIuVYxAYQV6qeYrHmdfDSnaNjJoeUU77gmNLVJOdVNF56lm2pUXzWdhmaFrtteqY6K22J3KZ+KkY6lo60R5aLY877MT/mU8xEdBXAGwBcQcO7PxZC+Gbv+FuKmC0ynRr25h2Xau6zetHTIlplM0XyusNwCkF770IsT3ZnSFIO8N0cqaHT8ndkX0Qxe+uMKc3l2HZLJcfst5rh3rqVb+yeWITsEZTls5XquRLneupZj9AD4qF8HnJC8Dx3UN0WNGlPjIxT7hcPXoV3yEjREearQc4APDeE8O52WopfJqKfCSH8qnVwFjET0V8E8FdCCP8XEV0DsAwhPDqXxbnwyFSS7VRCttKRqNUxmqA9xAaieB+qZEXrYZ9KQMNywVjb9v3MkrWekwa/xECeAvfy8SJIplQsjNRghRz/stecT6lHbceiQkd2MYLm44GeXHMHkIzywzAdRqozuNsu7NFfD5d57VN+YvdsNi4NmC3EI4QQAPAHQFbtnxvUlSRmIvpiAC8C8J8A+MsA7kMzkf3HHWrsVKRcElN9yFPmWdYEnYJOs8aY3NmefebZ4HMlpnzBhNVzrHOQlbJ8Aed0SZh2JchQ2iaRQ8g5RGrZkePK0OteWJtF1Kmm/chWQdAybR2lMbXlIe2S6x6xp8qD2WkJUcaNe6zT07HvOZivbM47JJuIFgAeBvCBAL4nhPBG79gcxfylAD4CzbzJCCH8PhG99xyGTkWuS8IiZH2M3met15F9HjzV7Z0vvxoBxF0kjNyZ3qYO367bf6nh0PqlmQPeJPgpkpF26FGF1rL89eB10GnkEDSnwds8xZyrEuU1sBIFcHAInYfYtafuqyTmVKelzi9VieY8n4MxLY75XiJ6SKw/EEJ4YJhc2AH4UCJ6TwA/TkQfFEL4LSuxHGI+CyFsmonhACJaYs4P0U6AR8bAkJAtMuZjrHRS+aVwyECUCsMKIPc7fbGQQI2Y+mZfcywd/RLmhJzt25ycopY9Qo6Rck5lkl0JO6qdEerhcTHFzNum5FdVgtyqnuw4rX2eQcwWTZbynuqyIM/nbxzWdSNANUFbw9P5XvJoP/2n8zoaOeffxEdCCM/KOTCE8E4iej2A5wHYm5h/kYi+EcA1Ivp4AP8TgJ/MNHZWLIzlFFnDOU4fu68dOk0P/Hi164BD8KSfN1UUvBZB7HiPnLkDtbs/zsunX8JcX+0hsawx9aQHvmgyjhFHCrJyjJ2WIvmcuTFy4VV8kgSX6Al5V7eCYOL99zpg5bo3WtNzZ7Bd52JIuSRoma/OzyLlUee0Om9WH/N8URlPAnDekvI1AP8NgG/3js8h5m8A8IUA3gLgSwD8NICXzWDrZKzaX4tccwaK5LoArHO97SklFlTBW2JIkpKwU/lq5FxP6lNT1n3Tw1+Xy/GwWCBNznMoGSsPq3KwXt6cEYsxm1mJAsMOsNyZ7wbvdDVMwzLF87daiLkN+Fdvy4HX0Sfz9VoksXJQ1/18H7K1YNlplS+vpdYcMI4AmQdhzjjm9wXwytbPXAH4P0MIr/UOThJzCKEG8P3t36WiQt4Iv5gqzp3oXec7WFdkHFNjHTFWomkLUQiBQYyxPCeFnNnv5DE6XXkvOgXtkFnqBdXwSHlSJ5fabqqlCCnnViA5Nh8yDakM4/Lmx4iFjE0hGqkYD1GPVp4xQvbeBRmNsRWTMVnDy2OtJW/AEzB8PrnvThZCAHbzdP6FEH4TzTdOs+ASMxG9BRFfcgjhg6eZdjjWYrkjEnVMiqxiSsXD1LhYBjfjeBnGsmxySrLOhVdp1PVwX20cK8/XhKYVs0WAVvO2S9cghH0UtKeUZf5sn7d/CjFrW6eEzHlpDp6JImup9nLgHTdQ44Z6lvbsgxgRe/dbq3dJyqycpWKeGpanbQOOMDBjNr/INMSu4/nt75e2v69qfz8HwONHsyiCtVrPIV1g/ED3nTDcUwzW8d7LoJeXGBZgJmogzz+YfS2RtHSzn4luuRwue64CPk/CKs+HtgqtSiNVeUjbUj5hSWgWuQyOjVw7Q0dH6GWd1xSMyqayT5KdVZ5y+caqGHm711rRCIKAmZDPt8PtnjvDsyVn+8E4xdnlQgh/DABE9OwQwrPFrm8gov8bwLce2zgNaWwu2TJyg+y9F84iZc436sqIEK0VTqSJOgdZSjCh+vT1sV/ZIj1e13l7FVO3P+N6YtEA8tdSydpOwPY1p/KWX6COqeZYiwGwlasm/LlIJdZii7XWUkh9UYSfgYye0DbIDkmtmvkYjs6YijlDNk2cGjEL3EVEH9N+FgpE9NEADv/I4R5YtNbu4+/zjoute4prSqeS5cqQ61aIU24TNEUWuS+/JmWtmvkXsMkvR91ocvPKe6rCtFR7TNFbpO6hu1+6BdOeIz8my/BInytDb1iyJujc+5CDVB76OvV2K/9UK0Uu62gUrZZ5Dg49MVPMVg85z/UgnDAxfyGAHySi92jX3wngC45nko+VsPbQ5l8OIecO751qjyZcqSh0Z8hUcrW25XS4xcjOisrQ5ByzMVcppiofj3RjpGxVIF7e8n7LPKU/2LPLs1vHGUuS986VSClCS2Wm7rUmwVz3gSZl6epaLMeqmdPdbtuyXQ3vs1bKkqA9Wz37jkLQYdaojEnIicp4GMCHENE9ACiE8B+Pb5aNOW5+ilRjZJw6V9uVE0In//gzQhVskoghdk9ySF135mgFFPPv6mvVX+iQZBSrLFJq2etwSpGy9eysGGNNGnqbZaNXJrVfeUT8Vd5E/Emoe51Kx3oGOeVM318m5dW6WV+vh+4lzgtoiHm7BbbVkKA9tSxdSSk75f2f3a1xyl/JJqJvUusAgBDCtx7JJhcxlauR01ljETKQR8oxhS3TMCFeJv2pevl5nCmKdx9Iu2OdOql8vFAp6xNKMaUYa0p7NqauTW/Tz0h+OaTCmFDlr5V2qjLx/NN1HS8juc+V7c39+oq+/tTMb5Y9UjUzSbNqli0Z6VfusAWCSksr5c6eyp8xT9s1dRBRNk74m3+PieWraKI13nocc+LIIeacZpmlwKxjLDKeQubaDkupcA91VfXkPJhPYHwZ7nWlYCmK1ECN5XJ8LyyFGrNjcN2KrLUt3nrOc4kNPGHS0HZq22RlGSNn63qtitRKw3LtxNKNwUtnShpaqXqQrSn+Y6W8Xg9VM6fLouNsM3we0o0R61PRqjoWUpcjIibjVH3MIYTvkOtE9PcB/LOjWRRB6sXw1Ik+3iMTj1TlQ/fI3CIDXve+LB3qcQ810H8NmT9fnypnuSFzEt41WiTnqejcDjatQq1jYjZ69srfmL1SyelrkPbVgpTlHA4xxcx5S1h+ZIuMc8urB6uFkeOnj6WTchswMTMRX7na+JbX68atsXKImYXHZtMvjzpZRV6eu09HmVjv3mw4xXC5CK4DeOrchuRgkbA21uQB8ojE2pf6kvMUUgOGhX+7bRVzW2BZWXTlYZsezRSLJ5bwrlNfa8qHK+9F7N5Z+eaWc49MdAXJtshrsUhZR5nINHQ8rSTmVHmVAAAgAElEQVRoID0c27+I/nx5npzDYooLQSLmIvHOt+6dRsyvaxJzq5KvXm3WF2tV0Osa55vmmI1RxmMVgdwn1bV1jTnXthdOlZjVCMAFgCcB+LZjGuVhlbDWaip7cZi8bv0CeTOX6XQ5nlM2/1O91fy3EQV3sxkqaGuilxj5WS9sjEBzBw7EIh28++ghpwkf89nHKhlts2x6y5hbbQ9XlF6nlIVBJepAqzyd76EYVBxqX6xlJ3+lLdqNICGJ+erV5o+JmdZLYH2lz6hNYLU8w3KzHTwbFiSpCkq+K2xPzA12Jynm54vlLYB/F0K4lK7KtR76J6ALlb4w6+X1Oq1ixO2RWiUIYLFslARvk+QsbTzfAuebhoh1j/ZyaSsLC7kknZq32Lo/UyMcdPoecvoCpmzTqokrcflMdKWpSUkTsw7lysE+7/Gx331PRHhTdUpXm9Uxx/dS+pVpvQSuXgPWqxExY7kELc9wpbrZ5V1t7Dhmq8LkDkT5fHifPGdWUgYaOXp+olEZAP52COF+uYGIXqW3XQSuXu2Xda2ZGm6qidhTffJ4uWwRuSarVdu0kwV2vbaJmQvZpiXmmzdbErnZpC/9cp6ysEhX2ieP8UhME5rVeaab/5Ybw7tvuYhVLh70NUu7l4qY9Z9HzLu6n7fGIgENuT02yjM24ZUsy4cGAaT6G7wWkYR262ifeFX1ZXy9BmhZNUp5uWhv8GpY2LfnQNVEc62qDaqq7sp4SnRIe7bb5l3yKgz5Ow9OWzE/Xa60E+V/2HHMiUOG3UTnBjAejlcwJWLrqfl/l0KRSWLmpp7XW80v0q7uOwL5OnWnTOrapM1eU1//etNj6j+2KXb/UvcwBk91pxBT/J06U9dhETMgXv7KjrfV0B16UnVaPbZepRUbgZeL1H227k9sJK326Vq+5k6sDG76Qr2oVaeasVwBdY1FvcFSvK+pofoDRV0PY/015o9lPjFiJqIXA+AJ8t/FmwFsADzgnXdMsGJOdRRY0AUzN+bYe/HlMr/s7HO7ehW4fn3YKULr5ehNP2+V8s11HxPKtu1axXy+BZaZysIj49xBMxZhe8Ss1XWuXVNs1/CauzHVb7kyFkuMJ/yoayzaP9T16IsbwHjgg7TJKn+6g86rIPVzTa3r9PSyd5znmkpNPKR9u5zGeo3xTFfLZaOOBwatRwauqi2W2zpa8cnrj82zkXMP9sIp+phDCC8B8BIiekkI4cUXaJMLz8esm5MaOTHGMVjkpX3L3Bly7Tpw942GmFdrANfvAq5eaQvsAqh33Ru/2pxj9fhj5sxo7MrgjkDd6RH7RH2qw9IjbX18bDrNmGoGpr8w2YNzFKZUnMslN7vXjXrrDmonj61DxxJU7xqibm++FW+rf/VEPLoiyZ1QySvPMm2vso2lbarcrsYV3Yb1rvmyjaio5D3ormdZ9eV6uWh+dbr6wtZtApszULXt8ogJU0neUrTIfbHrPginRsxE9LQQwu8C+FEieqbeH0J401EtMyB9zDHVLBFTLFPg+ad5WOqVdU/K99wD0I27mo6QG3ePiZlDMW6eAcslrlWPAu00+bJjkMv3lEgBq8kaC/ezyDs1OZD+DpuEZ1/q2WibcmA9Wy/CpFPJ6/ZZLAWJMCnVbWAiy7Htrifq7XnjP2ayapc1YXvXH6sg9fBwRkyN6+c3UL2StfRNktfcLdP4PGBQUaHegeS1d+ktbBLWF78EUPNxZwCuDIQKRZz4CwBVq66Bvg9G35ujKOYTHJL91QBeBOA7jH0BwHOPYlEEMo4559NQQJ6i0M1PCxaR8Qt/pVXLd10HbtxoSfmeexpCZmJeX+kz2Jw1L/36iS7ha2jImfNftuWBiTlHNTMkOXkj9/Rxnhq2ZpnTIWdavUg7p8brxjrJ9LHe8iCtgWxejTuouOkNNEQkL2R7LpaXA5Li4zqyagkkdr0DAtW1WrtM4uSF+LWe9ci/q2/IIPPFMF92N6SaPZL5tv11dzBdFxgyZVW1fuZF72/uExAsa0Tsc8W47O+HblHM+zkphVObxCiE8KJ28ZNCCDflPiK6apxydHAIVKypFttm7Y+pEisdSz2yG+P6dWBxfQ3cuAu45+4mfOjGDeD6NUHMu0Ypb7d9QW1dG1e3j3Vl9EzENJ9vmxagp5qtppxHsHqfXPdmltOziA2ldK82ZbMXdd1FN6TusVVp6Gc18oPGHqze15HwwlHM4nh5gyUZS5Ku65Ga7F0gQ1Id2WVerCEz6iEJkrRLXiNfn942yJeG52nV7KF7YLueaOsaqOX9pfE5tUHUfK60d5SfRe6Lwf1dYAts+/C5Ju0j8ecp+pgFfgWAdmVY246OpUHM3nJOL7/1WafcZqPsAGFivnIVDTtfb6Xz1Ws9Qa9XTSHbnjcFc3veJLpl18Y10PYc1+tNd603q7FiZrtiMbbaRknOsf2yFTDqKNOKU5IyAOk7ZxfAoiUz3fS3YCpJ90Ev7O3msaQU83J4DTK0i29mR8zn/TUNAml7omi2MWHtxml4tmliHF3HclgYpZocqNGIS8Ja1so5BkmmqgJKwq2YQm/3sj2Of6tF32qR+as0KhXGUddHmsCIE78ExHzM7wPgyWiiMp4BdJ/XuwfNsOwLh6UIGanBIjHkzEch83N7tvXMLkwG69V4RFRVAetNu6/tjFqusFhuOgKVnZ3du9H+eUOGPft0pWJ1OEoXxaijjAcOMLlJIuCXiXssq5acq6onN2CgKEcyP6UkTbLWX3yEcUw1tFu7Mvg6uueyaJRbXbfhXYJst+0z3qKvZIGWWKr+PA3drOdrG23T1xMplZZrQq6b98LKM5JHynErn+Ggcgu+6RWh+QBl1dxbXSnqMgVxbAuqAIj6wuLv2TBTuBwRPQXADwF4HzR34IEQwku942OK+RMBfD6A+wB8p9j+KJowugvHgASRN4GOVa5G3NCSXOoT6FZTX84ZgPWVRh1fvdZHY1xvl5nYunCL1p2xOW//NsD2GlDvcA03sWtjnC0fs9fhpK+5UrbKQRd6+7hyudI3/ddrg5gFmXGzfsvXwa2Ac2C7EsYG22BpLICRzzJHOVvpDW6CIGSv8w8Yq172rfL1dS6o0F9/5+agMUFr8rEUq+WjBdDNQ8qVRWejQehWS0PmZf2mwMdpgmb3ggWLKb2XMvb8um/GiwqTz63rESl7ph6EeV0ZWwBfE0J4ExHdDeBhIvq5EMLvWAfHfMyvBPBKIvr0EMJr5rLuELCC1EqPtzFSD6ZTnaL8VBVGX5tg6A4y6W/lqIzVGq36lX9M1Fd6xbwVvXryZd9ue+KqFlhsz3FXtRnMp8EtaXkNTNYSMXtlxTJyUzCBSTJmNwzbz6TW3czQG7c5ayqZ7bateFb9/s7oXYSYE83s0QtuqSvVnO9sNjr+dCFiG/UN7iJpln2Fw+rOImhw30HoSXREbhkqVzNOZyONjx1URBmEbN07D5r9DkHVyl1WzYCjnHm9fSHlcVUFQj38CrxqgM2CGaMyQghvB/D2dvlRInorGo/ENGIWCb6GiD4FzQjAq2L7t85i8QR4zW/AdmFY7z+rYj3n7oiojQpfEp1UzKslxu4Lbv53RMdk0L4Qm7OG9Fgxb897FVJVwHYFWq6w2pxhtd1i56hmzycu74+cyGegiiVZMfGya4VHxuiKZSmaw0w+m01j++ZKez1nwGbVKuehKyNPMUferlgTaPTAFo5aFpWLVQloewctgEXfKciVakW960b7YplErQ4zXbDY5u44Q8mnrlenq++Zdpdw5ZKCJ1EtO1jdQL1U3rGswN202/SUamaXhjRvdhwhUSL6AADPAPBG75gkMRPR96HxKX8sgJcB+AwAvzaLhRPBcczWfA05KhnAaA5YvS3WZ8NEt1LE3IyAWom/5bgW6VTasHBhe304vAzoX/SbT3S+jMXmrAmb2tYDWz1XxoCcl1I6MxELW5mMq0VPwtev9aR89Vq7n3p/CBvBbhiONmFSZuXMarMz2iEBq+MqBeki0WDitTr9tGKOpT9o1axbVw0TciXIvx62eqTaTvmbAAz8v/oYi6y89My0HV98d3ymes4h54GNAQPmjKYtyNlOTPj3667FqTsCZ0XAFGK+l4geEusPhBBGI6SJ6AaA1wD4yhDCu/R+Rk5UxkeHED6YiH4zhPAtRPQdAB7MtXZOrNfj9ylGzPqeaiG0VNtklAbD+xae7OdrpjtcDcmY4TVZq3NgewW4uus7kRgctbFc9Aq0JWhqX/TBqCwNq0KQkQhywhlW89zJx0R8XfjJB7OGCRW3Pe/t226B9VlTmTApM4HJ+GD9YCxCiT1Ea58kQaAnOX5QshKyfMteIRoQ866dBnDRzNHK7ppBx6GQbR5JD56To9o9gp4CHSLnYaoi1KRsnT/YxnlLV0wYlwHpRx7kNxwt25Xp9p3h+ObjxDJP+hjrIyGEZ8UOIKIVGlJ+dQghyqE5xPxE+/s4Eb0fgD8H8JdyLJ0bV6/2Nz81vFWXF026miM0x8mypxXoIK53zUQnXnptCBMT72PVeVUoKoYseMtVr5qXGxVLm9GR5nV4eZ17y2VLytcbYr5xt4gDXKF5yfjl2QFXzoGrmyExr1dDYpbXHyOBlCL0CECHrnX3kENbrozvg1tZKpcAp82tAknq23Z5c9arZe43qFndbcfPK3btqXA3CylizWGr7r5NcGvweZqg5a+sqFIvaaxyrKr2fWifaee3F/HjOj0k7ksOpinmKKj5WOoPAHhrCOE7U8fnEPNrieg9Afw9AG9CY+73H2TlnrC+2+aVO+1z6tarcfSFLEO6HEkudf21A+YWSsVSiNIgJuH1tlHP0idbVS3ZXRmeMyBnQtPRxMRP47QHTfjWlcEkvFwNO/mWy3YWpiutWr4KXLmOpmth3dw8ENoS2+S9IOBqNewkqaq2o2w5vKnAUDXGeuVjPlW5vYsIUfnLyokrTl6PKWZdoDqXBYk8hQuFFXXXmcvXj75Jtt0290vH6Xb2Gj5neS0xTHFxaMjCPrcv1YvaiCH2Ug+eVT2+RyPXymZ6/iOEOWeXezaA+wG8hYje3G77xhDCT1sH53T+8ddKXkNEr0Xzlj5tDkun4lrrY5b335vmT99PrYatXz2M2HNj9JO3MLGuepeBzKSu+1ArOXpKEoDXvGdC6BTzWevLXY3VsinvadjJ17laBEmz3exXXi5bpXyjIebFXQDugk/MGwBnAJ0Bq/MmNKVT0IaSzYEa8RaFMadFdw84pM9SyhYx85+euKKum+u5eTZ8blvx6shafdnawqM6tzt08dCxe2GRcWogjUbufdakqdVtLvQ5spwD/fPJuTZZbgfvUavil0sMIlwANKJk6dg9AzEHYMaojF9GPxYkiRzFLBM/A3BGRD8K4P0n2nYwFut8JdHdgfahSW3GI9H0hDExYdvNS6BHjA3UaDV8STlUjON5+RwScr0bqn1tmLEs1NUTLcnIEYNqvLNukuvwsPV66MqQZM2dfMtV71umG2hI+S4AV9q/qv0DBsSMMzQScQOsNsDqDM2wncSL7s3Y0y1HfLLSZyv9ud31L4bPqRlLjqZk8DXw70Jcm7hGqoHFBrh21rhp5D3enPV5bRfjiojtq9idsRxeo4eRW2WKr1iFMZrHwCZhy50xUqHKHi8PWf4BdF+tHLToWKTIylF0Lkvhwq1DHXrYlZXcmXOm4rSHZFvIZv7RiUTPA/BSNHfzZSGEv0NET0cT8fF7AF4YgtN+sMZkT4W40XIU2gKJ+Q3kS66bxOsr45p+e94rXx6m3I0UWw7TXi6BdWjVhmgey2tdrhoyqFfDJvzIVlKdfCoaoVtXERncwXftLgA3AFwDcDeagJxrsIl5i56YawA30ZD1FulPyKIhPv6c5KJu0uBf83wmUAk+Vt6LShyrCVm/xJqQZfpc+dwEFjeBe4RLg1sf3TPmjk5Wi6ycV0P3U5e0XA42Aaf8dRa8PAD0oXsRP3LU/ZZ47btOOllJKddVVQFVQBdZARitPcNNwe6gzo8vKpd93Ca5uMWIOaOHYAwiWgD4HgAfD+BtAP4VEf0zNDPZfSqAzwLwCQBeZybgTX7iwSvQ1gPVBXJQWEQ87KDZpXr/u04joRo4cmF5ZjfpgDadbUuW255YZaHYVD0JAD1xS1XD90e7KiQ5a1cGR2VcvcYTSKMn5Rvt+lU0xLxAX2RqAOftvk27ftZuY3IFxuoU4nxJqnJ5K87vbpL6s9LSx5FYtkhdpi3Plem2xIxHm+RutLs2531lvDkbDj4BeqU8iG9W5S7l1khNMmTB8uePlHLdX+dcpKZbC1ZlJFXycjm+fu1i0vuajHrbO1V9gFCLIUyKypgVLjET0U/CJmAC8Bf2zO8jAPxBCOEP2zx+BMCnoQ2YQHPX/Wp5qcxN1WZeobY6C6JqWU2RWGmCVh1+snBu1+g+7lctRHNODtTYDfPkHv3lUjXRqS/QumAPlL0IhdMDSAbuF+FfXrEqvobGfXG9XWdivormMcnK8RwNmW7a5Wvw1auGJmFOS64PHgb6isEiZ4ZUxlIxQ/zW6pf36TRb9wzWbbqLnpw3rQ+T72kXPidItas8pbqrG5uiylQpyBR0OdBEbA6hrluOW8TfI8udEctfdsZa/sHlEt3AAdmhqqGFycAGQc6jfTPjBBXz399zXwxPBvAnYv1tAD4SjWvjpwD8PoDvy07NItaYT2y4w09LnhcjZD5Ov0D1Dt3ctfKFHZwnCvzAHyfs6ZS0aPJttxj426S90rXiKmahWFgxr66iIdUlercFk/RVsW3Z/vE9vYqGvLboiVWqVz6WybxCr4x34txdez4TIStxi+AtcuZfqZA5vG+JoV8Zbbpi8MNI3fM6u2rUa0IArpz1lehy2XcOsktDovORGjOnaSKV+we/Cd+uzEuWqyg5Z6JLR7lcBsco90W7LOd1qSqAuiiXCthWbeSK8s+nKgtAkPpejfc8hNB/mfeC4RJzCOEXj5Cf9VRDCOHX0RB0HLHCObXW9GI2veGykpS9Y6Vd7AfbnqP3C9e977kKwiuQUE8Vz8cgRkZV6njpTuncLguflAcVhVSZSzSktkJPxJVYXohjd+gfaYWxb1mSY2c0eqV8Js7rbmD7y2kHwz7tN+b7L0mb7VyJbZy+rDy4opDQRL1r07mCptJoJ21Z7YA1T2y0RdfBtwS6OTQGxCsqiAFpOiJBt8a6/TOQ0qGEluGnNr9mDYAg3R7VuNzXO4y+KuPh2AR9gor5GHgbgKeI9fsA/Jl3MBG9CsALslL2mj06xjdGxvLcgbp1lLLOS9rCzbltO3pvROptqA9DDl+2moDS92a90FXVd052vuM17GHI1B+/WKIhnJX4Xbd/TGpXxDL/Ag2B8br0EQM9Ocrj+RxWx0s045cWYp8uktxs1ZETsoJYqu1XxDauZHi/JGZW7UFsg1g+x1hp8zW2lQoH01QVULVjseQzrBYYjPmHON5zE6TKmEcWuoK3fNoDX3eNUT+LNxBGqubB8f6flR3rh045b9GUUV4HbP/zKLE0ERPRY2L1wRDC/cmTJAIQjqnII7hoYv5XAP4KEf0lAH+KprPvs72D2xt5PwAQUYiGAHnbumadGn3mvRADYvaGzMaac5UaOtpGY2x0GlWvntmuLnqDO47UVzNcn7kIg+OwOisaw3LPjDrVVhgqZ6lSF+IX6LsGJOHtxD7p+pDqUy4vMCZEdo0wYe7EsR7YLqmUKzTMucKw849JN2DoipEuDq4Q2JWxatPi/aJyYnJm5QxgNMxeu6tivmUgXvHrdPWvJNwREdtfXjGJUNvmkuVOpN3kq7+yLbHdAkvUoGrb3MbtDqjOx9cq89SEnKFkQwh3JQ9K4JIE88UScwhhS0RfBuBn0bwpPxhC+O3JCaXIOHd7VxBEkzGrs8PwtcmmKTfPmHg31JDnRjVj9YRAHTmLocwjpZBq2nkumNSLLomLCbBCnAy7TI11/tP+XaAnX/Yps1vjHI2CPm+3WwpcVhJMvmv0BM8VBe8DhqoaIs2dWK/UNn09K/QKm8meK412+Px63fYnSAJWQ+410ZgCYWI06kCpqoEsskLwSLuLiTfKm8zD6tOxyF2oZWAY2LCrm0nA6hrNF8gBdJ3i2jcOpeblr3cfZkTo65kLR5KYiejnAHxmCOGd7fp7AfiREMIn7pNhOwTRHIaYhDcKZ8rdky+E9GXJaQoHxy3UOaJJV9F4HzBUzUyMm7O+EC9FB4jslOGBEjnzF2tou/XLpe3l/BaWG0ISloyegPitxPFbdTyrWy5eQeznQSlPoAlDewwNET/erkti1s+7QpyYuZOS7eLtTCjSBaOjQtilwevyj0Ho1TPQu32utOGQNCYUoCU/5znmCAF5bLcsSNT63JVWxvJ8fdxom0GI/L5oe6SS7WypB4foUQnn4rEu9DPm+6FD5mLv+BFl7SV5MrIU871MygAQQvgPRPTeR7TJh24e5iL2QsiC0HW0KYI2e7kr9JN9G+piizYtEW/MX1TVH8/k/dbLJe0fNfXEzGbdtqrJs5u74Xx8Ll8n0By3kKFqZ+ijLc4xdF1wM/5cbJORGLy/ao+xoiFYFT+BhowfbdN4TGzXilkqWtmhyKR7BQ1BcgTJGfowN74O6XeWhHyO3ue9FXlKlwYTuXxLlQtIzw0wIE1HicrOQY+cNRnLtCWRdn7tYBN1d54x05+lfq38TftkBdG09KQbY6eyqaq2dAjtsWJyrneiL2SPMWwzs2gI+1POocgh5pqI3j+E8G8BgIj+IvYcYHIwDhm3bhWwQbPfIWi5v1s2Ro/VO3SjmbrICzngZNfHJlcy3lUNgfVcF9737+TLzaTPCh3oXxzLf8cVxPUKIG6ar9EoVz0gQ6pgTbaSvPg+SzfCTqRxs/17vP17NxpCZGK+Cew2Y5cO3yu+XvabE7sZOMTvLvQEf6X95fk+pO1W/LSMKpHlRRO1RisLR9N8Wn+G8htV/M7rpclUfixWjhiVytWaV2XU4Ver9DP8uLp8tnmGbd0NdtUfdJDZLJcNOfOkZMt624zEleF0KXgfEpgRRxTjUeQQ8/8M4JeJiMPn/jqAFx3PJB88SbwFbzIjwJ6SAQB4km3qSFkRdHNQqy53ghgE0Q3C6KphwaqYkBfAcjckFgu6aagh/XC6k5IHo2i1JKMx9HncUVVVwDVugutOMlaXcki23i9J2XpGTGpbNER5hoaQmYzPgfBEM2ETT7Yvvrbd3ZvueltFJYeer1ftHB/vbtO+gYaweVg5T12qlb4c1KLtr9SvJnJxjmSfziV13j8T+SUXD1o9a+Uq74XsGJazEnL+8juFI+I1ythonzM60VtvlbL8ys5OqGKdPL8moWqOrWug2jYT31uvx+D9jpH2jEwawuwiPBtJYg4hvI6Ingngo9C0Tb8qhPDI0S0zELvnqfrVer+7ZYjYSk3QfFIXwZB68OIYPm8JdNNBYucXrFEzUqll6YJg++oao+9gVdu+wui2KZXPHY88Cf+a5Qu7EVgdP4FeMeq4YUnKQE9Wg4vCkARZzTIpP968wZKUu6+i1BgMPe+uRVRGVdUce/Vac8z1up1vA+jijTtClR2C0n4ZASJRwXbH8F9bYUO6DQxXweB21P7zl8foZVk2NCnrSkGTsq7wY2RbG5Wh9+KJ7VoZB2X2UBCpdfTq2dMtQ08cC6p+mye+DsXJKWYieloI4XdbUgb6eOP3b10bbzq+eUN4nowByRoP1SpfuqDwb1XVQwUN1VHnuTnk/j4xALvecO3ntYzxSoJWvQN7KuEmEW4NnmzfKu0cSrcV8z2vV8A1SVbsm+VRgZqkdAeaVs2y+c++3jMAjwG7M+Dxxxoy3p63pCymDB24MpTC6+Kwxdwf/KWVq+9ulPP1x8TcHzxtKU9dKisWYGiz3K9D77jS1aMUW1u7T1Apd8LoOjLfdu1+GBCwIl/ZcczbtX8b8JXwKL9mWX9YQh8q11kpM0nrCRC9LLlo7lSjTkJPwauPm3prcxBmTm8KYor5q9G4LL7D2BcAPPcoFkXAN0l/wVqr4Kmcx+cMBHPVvKzddJ8uAYvOQknWwFilZl2k5YNMDAVnn6uMvGCiXraT7Ui7eHm5Aq5u++PX7bwe17fAgmeNYz+tHG3H7TsrBlg28XfD3/NNr4wHbovd8Ft6MpbbCv/i69DEvL7STvL/RDuN6XL4le8Fz3lhKdYK9iAWjrzgikm7ZTZAYLvl3zlMn3P02Wu2M8gYGLstZCSPnOVOzwWeYsgWwTjUMl++h/qcWHb6UUZbwqrI7tribrku55vTnhO0X8eLQGxINvuRPymEcFPuI6KrxilHB9fGEux2pqr/Mol8d+VD1xPhM6xzOw6sDRVt+piFH5phGSGR68DSJAyMR/JJxaxnqdMVREfmrPJ2vbrebhtXwvUz4OpZ2ynIEQ1ArxqlctyhczBazWzetjkHbt7sJ55nt0VHMCq6QLsy9H3k61hfAW6K0Y6PPz78dFY3b4i4P4PWR6pTUQ62AYaj/242lcrNs/5r553i3w5ZavS8lWrQ5UW7KrRrQk+vKbfHIjPgk5hHrvLd88SOReJT6yIGv48MWfx14/EYahloozJOjZgFfgXAMzO2HR1es6rZ2Nao7aqerS92Lj9//QzGSlq7OYBRZyEgqnk9uMCIA41hIBfEHBhA33siCZrT60jZmN8DGBLR+krr020nyt+cAdfPm9/1E73alOnwm9ep3bOeXLXalT5P6T/WHXzatynJbEQuu+G1LW/2H5OVH5bVox/Z/dFN37oYbtNzVq+vNBPkkxyODvStgHPg/GZTEWzYFXM+/IKLHiwkny1/RVpLR10xdRWX3O4Qr7yfanj/FLcE/2pC9kjXWp46Y6a2b4e+yPFn3fhxWWr7GAR9coqZiN4HzWxw14joGehnq7kHjePuUpC8+fWYh7LOg0/Q4/RbggYEYW3zMp5aarRfeVvB9S3zB0K7Ia6RKLbsPRgAACAASURBVBAmdTnJO4f6bc5718Dg69+LngxYWUuC1V/G7sj6fHiObm7r+yIJ2FKctbz34vNR3twg8msm+tt/koy5EhoQ83pYOfHXZ/h6bt4U7pmb4n5sx6RsPvuqv1a+NllRDTrzhLtiwJBhWL6UsvY+QKxvt1yXrUuLkPXleEJIQ7sgcmyrquYudV3Mma/aoQjOtCEXgZhi/kQAn49moqHvQE/M7wLwjcc1y4bVVOJ1qWy9m5l7k2UhsFwcchm1ImmVWazg1cZpAzsqAG1zt6kMYLTpFs2LK7/QLfeNE+yXlxtgs2wJaNMQ0mbTqMTNFQzmc5azfTFZSJUoSVmrNo+orQdiTZLD+VrnDFwQSvV217lQx/GcIpqU131lVFVD//TyrG+tsJ2s/G+2HZns0uhaE/Je1EP5xarfalFJhWx1hGoi1ucqUs5VuMCYkI0kR8St0/BQVTZhWyrcejfke8nHWN7CWRXzqYXLhRBeCeCVRPTpIYTXXKBNUeQULsDkyNGyfKiScIGmAHHtLslZ28K1uWkEbKXhXZMmaL29ggjr0x8N4JGGAEadkRqd+tUXpEphXbfEpQYkMAFvzhu1uNlg+H1D3fkkSNpTyaOb4g8j1h/L7e6FJC05yGcrKjJ28/AEU8u209O6RzJfqcLZps41w5Ek2u1QD68/ds0WC2pf8VaRb+Z90tl6ytLqg/FIOaV0vVtpreu89LZBWujJ2XNlzIVTjcpgfBgR/byaK+NrQgj/y3FNG8Mqu3J7TDWnCFHXvo0a7vfLTkag75io1K9lq6VCPOh0dJhQl99227WszR6RWERIdzwB23Xv0qiqVjWeDyfZ1yS1Pe+V8s0nDDdG3RP1yB2RX9Ktl18m0V/uFsvltrkXsoNPXyu7LqpFc52smrnF0CnmDTr/+/q8d2toXz5/BKGroNrfuhadmrHWgXWBaoizpbo9NhTbrbmQ9Wk6qiJ2ryUpWwNH5LleC5D3WZet07PeTfkXqguIzDjxIdmfFELoXBftXBmfDOBSiFkXGD1zFTDszZWwOiOkm0IWAFngRn1n1bDWBvxCkqpMdB5WXsAwxpM7Qni9GS1VJ23ptnfqcdmqxtalsVw1hMJuDatj0VLLm3PozqbdNv6sgHGvu4Y8zyKOSt2T1ZJJGqBKffoJGIbX8Vdl1lda8lv3186dhxuuoJbovtmomYVdFqycdevBq5Cs1okm39gIPoPoPXK17mfqeEshW++fVZ51WZbPSl+ylZe0zRImutsk5r48BAHjx3RRyCHmBRFdCSGcAQAR8RReFw453DPm2woOMVvHcs+vp4Qt6ELhHR8r5Ba0DVb61q9lP0PHfDfnNES+XG5BS0nCrR91vcZgZJ28CEXMYbPtnsv5dvzVCosctO3W/bNeeIuPJOfutsOKi330XGlV1Ra0rIaVDpMyV1C8zPdiMJ91q7w7g5iAt8OBMToiwvIJj5aNjk6D3GPl3rtXOcpYLmsy1vs8EmXE3iVL5Fvkr6Hjl3Pe04Nxop1/jB8G8PNE9HI0lcgXAHjlUa1ywN+/tGpuRupFl8sWwcZGH1nQ6lXDUxzaJst2/SuV8FAx2/lbhUoqjsUSWC1rLJcbLJaboZLWoXaSmDcbnG+As00zZkRyUKxTyFK5+lr0ORapaFA1DE6pqvbbI0YrY9leL/HUq3KOkfUVdINdeJ8Mn9NSrbsnypUDKPdDDdPHPJKdaqpOcWOtCk8i555ZKlenqUfu8T6elIjT9OxgsLuBn8+issunp8ZjZZeX5e8xEIDTC5djhBD+LhG9BcDHoYnM+LYQws8e3TIDFjFbzePYw4oVJPmbA638PGL2Cp0s6CnftZV26hj58tgkBZwv+/EUi84lsjU5mVXxbts8i7NNs6zCZQd573vfNFLPbdeSsyYB7cnoBkQuayyXdTOjWV03BFzXPRnzCdyiqCoMBqZIw2Snn/wIrznAw5k4KBFVESs7qXvl1QVWZSqfZWqGOCsPrzWkfcI6NlpX7lbFLgVKUcwAQgg/A+BnjmxLEpuN3cSS2FXDBygRHWTinCPPsyCJIIecvYIu7YgpZYmYj1a/wFphM9cslj1JW/lLxaSJ2RrcZkHbFlPNU+CRgC4D/Hy4guLn0IxCr7GoNz05LlfoYsA1IXOrQqKuMeqwkzcsNVeF8eu5g1KKNUUiVpaWQmZC1v0EVp5ev41+Jl5jQ1b4umLQdseEyLEI+mR9zET0UQD+IYC/hv6TEI+FEO45sm0jyKaVRQby5asqDOcEi5Ayb68qwJs8zlKfnGcQxKb3S1v5JZCTu+h0tbqN2SRHRsVslsdaaoOnXvRUiLZ9s+kJ2nqRLOh7pq/V6heITeWq7bNefL53rNZW8hnV7eSd7bMYfElDT0bF2wAMPhvFiXV/hp/Y2ifPFb+xEXbWCDwjiax7pdPUJClJWZfVHNfSDn158spnipStMqUJWi4fg5iDmILkopGjmL8bzUdTfxTAswB8HoAPPKZRHm7eHBcsCa0KY017C57a9c6R+XATWStAawRV54bc+opD2hMr3N416mVpKyvmPpJheJx17fKFZaVsdfZZ6cjl1CxhsXP1cdaQXXmt+rpD3Q/n5XvH9i9rNJO1D0ZSVg0h81zay6VfSLqHK10S41DBKfNNAH4L0SKv2DPQKtciZDkHE6/zl0Zy/Mo6X64QU/5lnV8qL6tM5FbiU3DS3/wDgBDCHxDRIoSwA/ByIvqVI9tl4mY7lZKlGKqq7/BZtFc1JWzOgxdIL198Odsmk4A174anTHS6sVC81OQz3jrbxWTM/MP5e4SsbZfqxlPLKcJld4M+xuvclPZraD8mp2NV0vp+yvS6ydqrlqArcTKP0tvu2m0qMkOrYnXTPNeVvm9Toyd42SvP3nZtjyRG+ZcTs6yhXUb6ueTkb73fOg9r+Rg4WVcGgMeJaA3gzUT0dwG8Hc23ei4ckpjlL6NTg3VPcDFFqdc9heFVBPzLJCeJ2RNWXoeKZ8cU+3PVslSOsVaFbD7LJq0OW/Rst4hW2hO71pzwKH759TVK94WGnGeB06zb+6HvS1XVWCzrvAerHuQ+nXYyOb1sEXNOWl76mhR3ytaYjzmVNmC7q6z8NSFLe2LQoutYBJ1zzTkgoh8E8HwA7wghfFDq+Bxivh+NX/nLAHwVgKcA+PRDjNwXZ21URqzHVhNOzA2Qg5Qy4Y4zLmRSlVppSRUS6ziLFTR5rDeMVqel3RbSVkbOhDVWvKlHzHLdagV4nZeWSraIWpKAyZ31uDndjWTf9kpOl5Vxh2ETrTIYoMNQRCzvGS+n4u5jZVHfY4uUY+fHXFOeYuX+A96mrykHsXfQytcSLbFrkl+Z42l758bMroxXoHEL/1DOwTnhcn/cLj4B4Fv2NmsGnItwOfkLjGvoQ3r7GbGJwDlP2dHBebP6Amzi2ypi9gadpCJErJfWgiQrttNyl+oXNubf9PKztnmkq1s0WmFbfmLpv5TnxZ5zhfHMZFyZyny1bRyxMiaY4UVa9yNnPol9xIE8J+aLlRWwTks/Y70tNkhoHwLUNmg1bvVXxMrySIUfgZSBJo55rvmYQwhvIKIPyD0+Nu3nWwD/a9ghhA+eZNkM2Chi1tBN5KoaDjTIhWwic36xF6CuG0VnzUSn05PEHOs8k+lLO/SyZZdVYUlCs3ys8kW1hlNb155js3Wc58qQ69aITH0tlutChv4N0sXQ788Ebbk2JKnFvpjBSE0WZN0DD7HKLtZqyUmHt3skLIlaHsvIiciQ2NZ2yKpWzFKhW+/asf3ILk40jvn5F2ZFJmQTDhgWDvkVEt20zSUQmY9e9gqMJmH+8KokEasJmYpnlvlb1xAjZk/VdHZj+PFLeV93qnmp087BnIWZb2tMuHgVgd4eajsd9rvvAGBrE/s+83zvq5Bj6aeeLRAv1zK9XaTceWkDeYNaOiFg3INU5eDdN/m+XRRpT3hm9xLRQ2L9gRDCA/vmG5v284+9fZcFVsyAf8Nye/stxF68WEcLK7W6BioRbWWFznnDT63ryak4Yj5m9sUN7Kt6+1iVyvz1vBc6vzleBCtkzkpfq2qpXrWLga/Jiikf/KEnZ9kk5v0ypjum7CHSiK1715aTlt4Wm7w+xwZPGEg/sucLT82/bK177xPneb4db7MqINlJe5HqeaKP+ZEQwrPmyvuWG2ACpNWlBeuFT61r5RxT3jwkmIf9SjKQMwdqMo51dkx5kb1lSWoLRVg6LbZHNiu94w95QbSf2OrQ03loAtUkLfdxmm4lXA9dOhsx6rpLH+P0LUyJHsghFo8QAbuDcYoK956x3C5t0Onrcuot59gglbI3HJuhXSLyPh6brE85XO5kBpjEiDkVOhRTzbmqKEbM/CdJ2Xqpc6ZQjKlGbVNsWdvXqZHtUNHLF05HilhTqabuVw4G7h8MyVDD6hQckGircmXUCatfa8i8bBJznloly3R2keuMlQlgXPmkkDMBkUecKRutsmeFPup0U53AellvkyQqy5W2w8uH+xGA/pnKkarHwpwT5RPRPwHwHDQuj7cB+OYQwg94x99SA0y46dPZlSi4vK4J4Fwsw1j2BnSkmqkeCUhYL1YqKiM1ex0jpt68iX20XdZLCgzJqTLIJkdVTpnO1IKlZPlalq3N1JKuVMDWCDTrXsRcJTFYFapOu6u4a5+kU52IHjnHYLkgrMo3NT+HtCVG0Bb0tcgRpNoGS3zJ+8vvM99LIN2q2RszTpQfQvibU46/pQaY7Lb+Pq1AU0omdzm3uSbVG6/HhmdLm2XaVkWSmoo0x0adRmyCJ+s+xlQ8E6Y+TtuSG8ucIucuT0GkbGtV9SRTVTZBA/GRhTJttnMqouF+tX+fUoQsf6cMVtGEqxWz3ieRauF54kA+W+0fl6TszeMtr0G2+PSzYtcUMO/Q7BBw0q6M+wFUOIEBJjFi1AVn6oT0QJwQUso0NT+yLFgyvYEqNQp1TOV69lnrMWL1Xl5PgVvXqvOIQRP6VAVuEV5oX/CVGuyj1TOfp+OgOU/r+VnXaJVFeZw1F7FXNnR6MVdBar5rjdiz9VSyd4zOyyq38p3bKnusSoHPseyw7JeqmdcH2yIcsQ9SrYFjYcoAk5u45AEmWk16x6Q61LjwyA5X62OrEil1wk1Ub5Y2TczSVitdq5nmXX+KlPW5WoHIcyybdL6yOZ7zTFKQL1XnVpiYhhwWPyINIwRu8HJjmKe8P5oIUuJA3+Mq81pSqjk1j4Z1rnWM937ESFmnZ4kUKyzOukbz+Rj7Y2noZwOMl+fASX6MlYg+DcB9IYTvadffCOBJ7e6vCyH82AXYN4JFBNEH6WyQBA3YL4/r83ONa37OgcGUoykyrdVvd167UQ+2ABqy1orWezl0/jkjCmVStTCuEhsttZvj67MUqfWieedaH8blc5lUOL1lDYRlOgSuc0Ulrin10ltpSjfKPv0FMXWcImePRC0S1KQr08gRFd576Cnh2EAZi7jldcjwTz4+p/KchBOdXe7r0ERjMK4A+HA0/uWXA7hwYvbUmfViT0UqaF6Tp35e2hVFcqU9SX+3WqbhubKIz6uBqh6rO22fuW6Qqlz3zrXK5KCVwXaJX8tFMEpDvViajLVKHdgmj2ViqIYKXnYEdtuWPjlazWP5mztXdGr+DulCmWskYYygYzHunuuAz7MI0yLv3DmiLUL20tSw3k1ZDudotXk4RR/zOoTwJ2L9l0MIfw7gz4noUjr/NCwirpSS3Od5dYVIbmt/uUAEY1+sTshp0lrnVyKvjqQdmKoffSWh91tpeZWFZZu0i9OrJOlH1C/ns2/Yk6eWtLo9Qz+hlFavsoKQ+62KQsLyZWolL69LE3QsbT7eWs8h5tyBIB6R5s6FYZFrLN0ptnmQz0W6I1NuyH0RZozKmIoYMb+XXAkhfJlYfRJOBJZbY8FNUtjEHYMmZY+QNWlbhK1Ban0Bn0z5+B16ApUk7SGnfPItyPk4Q0yJ1yKtqk2PKw+5r67HFSSvzzoz2HaobuWzZtWsCVJPD2oRviZqWaasyoF95XKCK52+/rUwRSHndgrGVO0+iCnqlG2e2yQnz+751dP7I3IRTnSujDcS0ReHEL5fbiSiLwHwa8c1a39oFT2liSNJOUXI8nntEvsB5XNufzUxeoqZCU+StNw/texI0sw9XmKnlhfiGK48tL2axDuya7dpBZvjb/ZeGu7tt6IktGuBjWPF66ldmZ8mfNcf3v56nYo5ach8Y6Qcm3UwthzbFrNFb7NIOWdK2il5yzKhyflYU3+eoivjqwD8BBF9NoA3tds+DI2v+b87tmExpAqy7NnPnUS8roekmiJbq8lvEbo8XpIUMCRHz0x9rCwnTH4epBsjFzGbPDcHVzCSjKW9ng1M0Nw0tcgZ2E+18Bezu7yEb1fOoT0gaIzJFLBVr0xzdF1aHCD+nGKVUIyUUz5k+av3W/tS0BWBJmRJzF5lkbM+pZKQ5AzMHMc8wZa5EZvE6B0APpqIngvg6e3mnwoh/MKFWObgGI7+QaGA6lhQv16nn0faMLZrgraOkZCKVCLnNnidktoWhlcOU75n6WbR1yDJTrs5AP+Z5rwUHnkz2WsVxyRZGWlLNatf9NikOqlfYNgZqa/bcp/EsC9ZTFHQh+Q5hZRj6eYoYH2/pn7NJYoTdWUAAFoivlQyZhyqonRa3TKGhBzENqjto3TUco6vWSpMhj6+dvbJc2IdgQzrHZfb2E2Sg1gLwlP27HOuMHTLaFuYNKc0Sa0oCIacb1nu1x8ISA2ht6b7lHHclsLvrk3Zl/KHemXbUr85PuUcIt7nPYqp5Slfa7HUvfZL5+BY5HmqnX8nh9QD0M2p2PmWEpaEnOM31tDEPhWegpYELN/9WIidtkmmoRWrlXbMtljrQVcc0ucsCdpS1UzOubAI0jxuOw6T65RxNfwUmCTYqIoV26Z0PlmuEi+6iPPm3xw3QS4ZWsfmzPW8U/bIuS28SYhiaaZIOWeummOK2lP0MZ8cUrWoLkCjXmB5LGyFvBPb5TE5yPVJ56Sh7ZS8EFPNHuHKjkbtm475vqH2AXalZUESsl5fwrknU9+yCEFKHzKTMBM4jwTs5nEWajrXxdBtq/soDA2tmrtlDFsH3nExn3KKcHMI2RukpEUOL1tfINmHkLWdmpSTHYaJ9TkQgJMcYHJyyAmN8ZpTTLzAUB3zPibk2tgfg9VZpgk9VunGClgs7tjqDARst4SnuHk9RtoaXuXj+cal71nnP1tXgSA7GaJmRT5ogpbujbruv/PnkTMQj8KIzR3cHcfptuve/fbIKkaAFqF76TFSw6mlm0ISsiblWGs1ZWMqxhmw38dY+TsYp+xjPiVwYY49hFHtDZuQtWLeRvZb8Drw9hmAkjuow/I1x0hXn2cpZZ2HRZxe5RG7VulPljaSOGdpHGuFBGbDITtL+Uo3hibn0Bqmv/xiZmmljXyisHzPFnGmVLDeluOX9tKRBMuuCk3APH/ybjs8Zx9i1kPFB8da54vl2PiCOXDbEzMRfQ6Ar29X3w3gfwwh/Ea777PQDAH/oRDCd8XSiSmNQTMMcULOXbcgVaZWqDmKMqcTkWG5HNgGmZandHWMsWUrny/z8yJBYmQsl2tlI6e/RDOXyApD4q7E8VM6JEdw1DMQJ2g50b5F3l46ln9Y5p8Lr1K1mvt6n3c8YPtrY+no/KQq9pSyti9FZsmWgHWOWE6Fqs6FANwRPuY/AvBfhxD+AxF9EoAHAHxku++z0MzD8WoiuhFCeLeVAL/s0k832K9UsvaFnmMaQQO2O0GSjtEnNPhN1eipAichCcsbbGKdw9C+aY+wtXvDQqoi0cQuiYrJmX3NmqDlOSlYFZLsSLSiPLSbQkZjWFEa/Nddm0fG2uVh5K992DHE1K+1LrflxDh7acrjWDEzKfO3+mJTdXq2SeSQsk5i6tiBQ3FHRGWEEORXT34VwH1iXbZwo2JJkqLnh7LIr1bLU0jZGiLdVRKOjdb5mrShjpPH6rSAob9WE5JnS+pci0A9wrZs8ioWXXEMnht6opYVXM71WKpfFhhpuyZny3csy1BVx19uTbQ6CkT6oDU5y/1dehkknSJnfRwwvZPQy0dHYMSI2LNFIzp9qUxDnyeWY2MHZhW4d6CP+QsB/IxYfxDAQwB+OITwqHdSjAwhtqdIdxvZJ8/X6cY6a6RdKUL2BqnIY/SylZ+uKGKwyFb6dr1zcsgZyFcrmnxZkKwi9kgbdCUC9OTsDQH3RhXql45jn+UsdHoeZ07TiqiwIjhkv0gsbwu5fuVYZEXsfG+/N7JPfpfPslMve1FUZoWhfrs05HnOsblRQvvgTnBlAACI6GPREPPH8LYQwisBvDJ1brTTj9NqfyUJA+POvXPjWC8OWT9sSYrAkBg9O7T9sU6+VMXDlYC2IwcpF8hB/l0BqwNPKmW5zgRtxTlbil6mx9skOfO2uj1IdtxZM8qZJFmj87OwK4NJWg4hB2xSlukDfQdf7kxouWSXQ5K5xBz7/FOMsHW6k+1Uv4AvXqz3ad9xAymEE52P+WAQ0ZcC+OJ29ZMB3AvgZQA+qZ1CNHX+qwC8gNc5esKDfMCWarbC4WK1rkWYkhQBmxh1KB4wJmwvfYlYZ57VsaZt0HYzdASE3u9dWyxawttnKe6g0uX8YwNRcmKtY7CGRAO2gu2Itp2tjgmZFXVH0BiTbSzEzgv3lMfLbYwpAy5SxGxt9ybQT5FyLnI+OOGRsvVO5roIiegxsfpgCOH+TJN7u47B+Bk4KjG3Xz/hL6C8PxqXxf0hhN/LPP9+NN8cBBGFGCl7SjXmxgDShGyFl0lylsSYcl1M7QBMQdrg7beWAd8tY/mYU/NraMRIU9ts5a/dHVbesjKxnkUMsak4LfDIwZUiaGmvNX8GYPixpR3KJg+5o/xi69ay93FgK/pC7k/5uz1MIWUv3DSXlAEghHDQvPEnOYnREfBNAP4CgO8lIgDYhhCeNSWBTWK/JluLgDVhy/N0GhpW55QmRouUcwqRlZ81eMTqfNRE6FUwXmecJEM+zro+LyJkqnqVdknilXlb6nnfOGdLkeoOPE99SjfG+XY4M51WzkC6Q29giyDvlP3axhQpx46x4oZzVLJnSwzml4Gc5Zy+mTlG105Bzpzlx8BFRmV8EYAvOiSNXGLWSlluA/IfrqVEUz5dSyV7Cloip49Bd3J574aVj3QDpULudsY+T5FanKJ4JwpN0rryY1u4c1DarZW9Tldvt9wZFkGnOgYBdBMkWeRswXNvWOvWufI3tmydx/AUMh9nDbHeN2/3GuQ2tqv93YeQj+kCPpbvOge31Mg/WXt5KlE/xH1qWytkzYsA8NTvvgNNtF2MVASCZYOXRyrkTncqTlHEU9WzBOetbSKMSTjWArDSZHi+ZknQqY5B/WVnaevA9phLI7E+ug4jzxzVrO21SFmf531h3rMjlb+ZTmJ76n3mfRLHCKAoxJyBm+1vyoc5tckTix3mdfmC868VwTCls8KCR8qSmDz/rGeDTlt39HnDoS0VGHMppEh5SiHXrgxeZ+Uc67y0tkvFajWvrXmXB7bXouNvi8EnqXSHINugRwvysd56SjHLZa9z0MLoC+gOOcc6+GIujJQy9xDrF7K2y3Pk/mOhKOZM3MSYHCU0GcYiICzoYzQppaIYptT2VvoWUjHK0g6rmWjlY4WiaUUuvzPokXMMni2eTdoemTffdzlisEL/zURZQVjuFn5eFqnEyLrzuwuC3YrwOTlakNOq1LL8QCun1V2vo6j15EvWshepoeGRa44veao6TkWPpMSKfG+td0keL/cdE4WYM8A+Zh0twPBq3qmI1cRSXQJjMvF8yzkFy6psUtcQI72UotCfhAL8zjfPxoEqTdiXuha9n9MedK6pYyzXB6fljdAcVGbOm8fhbdI2OWsd/9U1EJYYzLXB58tlfXOYtK35pPchPQ2PSD1C1vt0GimbLNtMO+SxYpsmZY+8vbSOgVR47jFxSxKznrFMwqtxGbk+UO+hW+4M69xc1WzlaZEPIzYAZOoIQisfb94K3i9t9FoQOt99fIFenLNVYD2/tNdJmHqhTXVdD8lUEjTQE7kchDIgZgyXO9dF3W/TU4YyckfapdZTLotU5EVqJF/UDpkOxu+oNRpXnxcTIcdCUcwZOENPGDv4HYCeQmVM/ZSSPM+K5dUvvKeavcrCSidWgcRIMLZsnaNdIaxQt7ALhxU1EXO35Kp3Dc+PrismHbEhz8/pJJVIEnfdHycJGhgq6Koa7+Nf7brQA1JQD89J+XRTRCx/Uy6LXP91rusEGJdFXeGi3WapZn1+qk9lbhQfcya4aWHNRczIqW1zVbMHqSw5T2mjzM8iZO9hW4RsNcNTTbpUPimwHR45S1vkKD75PLxOGssmjxA5fZ1ehX6ODXk/9DF6mHYq/jmnwpQLnVI3/M5VBeyqIUnHOvhGtjjG5CpkTca8LdePnBpSnbQzsi4JTxKxdmVAHDOwJSO/uVCIOQOySarVUKwn10tnHzARSNKw0k796mWtluWv3u8hVylb53hqXfp2uZUSEsdK5HTW5FRUehi3np9EVxLAkJw9+zitGLx7VNd256iGd4w7y50i76mha1NJOeaymErIgE/Klg9ZkrSlUKdGUM2NQswZsIhM+3gtpWqdrzHF92wRpk4/h5gt2yxF7G2z0puilj3b9TFMfKxUV7A73FKhg/tA3hdJvBbZrTC0V1agMfeVTscjavMZtQVNzkgHDBW0NafzFExVz1MJOdddkROn7IkDHSXldfTBWAfyCXlOIi2ujExoUvSOsX71sneehRhpW+fFCNo7x1KsuZVALH2rMttnH79ASyNvLw3LzjkgKwp2t8hKg5dlyF/uPBqcPsObJc/cWPcjA3UHoUXQsS97j5LPIOfYZER8bIyM+dzcvLv9iW1WB7jnzrDSyhlncAyUqIxM5D6Afck5lp7VSZbKf0relhrzlqfmoFUdIwAAEJdJREFUa21L2a/3S6Uqfc9epETKvpQNHphg9YsPDD9bpRW153oCpqlphu5Q7CrRur0upaLlvM7svthHQcfC1lJzX+hj98kLyC+HsVhlj4STNk205VAUxZyJnBu1j2LNSXOKuyO2nnNujKBTeebeo9T1WEQuv9fHhccaOTjVJz6VpD1Ck+RswcpHEvY+qlqju7d1vIOQ7fHC5Ny81U3dh5Bz3BL6mqYcoyOTmJC9OGUv/VgfxUWQZiHmDExVzN5yjMRylaRFKp59U5r+qXNSSBG0p/xjRK2vNfYx1X3jSvchaavzV57P+/Roxlg+FknnhmOZA2Tq5k+qZ9O9EUnHgvWVktggEnnsyEYj/X3EBMNyXaQGj8h0cq7fsm/umObiY87EFmMSzClUmqwsgvbO1XlY+eYQ8r6FP8eFMSXdFAF7/m1tk/yYqhw2LX2/uepTE6Zlo9wWi7SQrhU9v4Ym71SlPCUsS7tKRgNkWoLGcjiCkKcQHYTaOXl06WWQskXIU4VD7n6GpZJ5+5QRfSlcBCnH8roI3FLEDIzJLreprMk4p+nvKeFDyXJKs11XBFNcGrE0c5WyV6FY58d8ujl+3JzZ4nLgETCTszdlaG6rIbZfVh5syyC/ut8O9KQcGxrOxw3yM9Qxr6dIeW6y0THrtdpndezFJhk7JP85URRzJriHNMd/qWER8z5KYR9S3pdgtC2HkkiOG8OrCCx4rgypnq28LVgDQWLXmIpP1u4La6Y6jdiz3bd1o1sPPKkRuzfkHBvWSMDYyD/tsgBUmJxj/zGIzHNd6G18bMq23PC4Yw/JLlEZGdDELDHFpRFTzyl4RDE1ymEfWOTs5e0pQrnNImTeP6Vloic8kmSUIlmtMK0Jojx1rwlWVgryGB62nbIzVQ5iJJBzvrR3AeF/rhuXhjtMu4XlwtATEQHjcr3PXCUWPJ+7zC/lzrDs0zbGSDnnXZ1riHZRzJmwHmiueo4p5rkUcG6FcQhyCDd1vN5v+XNzbbGIUqplrWz1HCP6WWqCjk2SBMB0l0iC5nPZ9ywV81SfeCzcziLtGFkPbKiBeoPB8O3Yp6mAISFPJTp9bA7ks7GI0ovCgHGezjuXlDXmqnBiKMScAd2smOJWmELMVnPUgt4ea7rH3AX7IEaolh0x5Rm7hzn3uBbHaeKTeekOOC8fy92g87CgX0xNttr1YhF0ClbZ8CbK0teqKya2WRK0jOCwoF0VlirOIbeprcQc10NKIXvnAofbfAxSLoo5E/rTUpZyloi5MvZ1a3hknCKNfXzThyJlUw6muDTkOSlfrjXzm2WnRWY5+XM+cuIrj5AtpT81L86P4RHFTvxqRS8JGnW8TFuKVNsT26bt8WCp/ti8NFMJWaajj0Nk+5RJsg5BIeYM6Aedq/rkfk3KU4kZKl9JzLlEmON+2Ue9HSsdS+lrBesRgnZP6AEolj9Zk5UmZ+8ex1o+2p8s07fC6aSNVto5x1g2RkPqMKzMvNkTZTqp1p517hSkSDRGyDEy9dKzMLVVPBfKkOxMeOot5j/VyymC1ud56abcBfpYy5UB4/hcGyTmUsSxY3I7Nz3CzvWJ52KfipmJLyecLidNyw69T8NS1V4In0ekU0PNsgasGNvI2R9T7VMETo77YR+ynZOgi2LOgFZsetk7Xi7X4g/GsnWuhqeMLVs0eaQ62vYhqxQBTDkvdayllq391vl87FTXhJWGzNM71gMTMEdrsJLWyjnXzinuIut5S3eLNaw9Jx3GviSce9xUlezZNLcffEqFkIviY86EpcJyX06LmHMVs/Uycd76BnpN7JiqtvI6RE0emk5O5WKRs87XahlYitWKwJhCdin7re2ctpz0yFOsOQS97/2W50kFzb+xvKe6Jg7pINPEJweO6GN4/yE4RCnPGdtciDkTlnKLHSeXNQHrbd6vhxx3imdb6vhcYrJINFURTFVi+5BkrPLcVzHPBU3Q+oXW1zqlA3LfCsVzb81BModGLOjnp0l5KiGn7DmEDOck5aKYD0DKPeC5KSyVnDrPwiGqbi5yPmVY13CM0CaZn4XYqMIdhor10Ps+x/lQNuXOO6IxJymn3A1zTGB1aijEnAGvwM/d7E0p51jT/rJxKnZozOWiORSe+p37vs2RnkxjH4I+RgV47CHQp4QSlXHJyO14mJuET5VE7xTwM/bcFF4c9kVCl5GLtMlTixbh366EXRTziSCn46jgzsM+A10Kbm0UH/OMKARaoHHKau5UXDwFNgoxFxTcwShurdNEIeaCgoKCE0Lp/CsoKCg4MRQfc0FBQcEJohBzQUFBwYmhEHNBQUHBCaG4MgoKCgpOEIWYCwoKCk4IJSqjoKCg4ARRFHNBQUHBCaH4mAsKCgpOEIWYCwoKCk4IRTEXFBQUnCAKMRcUFBScEEpURkFBQcEJ4rIU84XPNEhEH05EOyL6DLHtq4joTUT031+0PQUFBQUW2Mec8zc3LpSYiWgB4NsB/KzYdgPAhwP4CACffZH2FBQUFMRwRxAzgC8H8BoA7xDb+BNmx/x4ckFBQcFk3PbETERPBvA3AHyf3B5CeBTAWwA8BOD/uCh7CgoKCmLgzr+cv7lxkZ1/3wXg60MIO6Lhd35DCC8B8JJUAh/8zGd28lrXKLyuay9eD2Jd+o6COqZW5+ntFRqJv2x/KzQf6eRf3sb2ePZC7feQqjmt2przl/bJtGJNFK/2l3boa8q9BnmP5P3T6cl0vX0ecr54Xqlltov/pE3y2qZ+jDXna9byGXjH62vO/Ur2oU1Qfd8Cmu8nBrFuvS9T7bLySUF/x3GkXt/0pgkW2bjMOGYK4XgeBCL6UgBf3K6+B/oydS+AxwG8KITwE5HzXwXgBe3q9WPZWVBQcFvicbH8YAjh/iknE1HIdSnUwMMhhGdNST+a9zGJ2c2U6BUAXhtC+LELzzwDRPRYCOGuy7ZjbtyO13U7XhNwe17XrXZNRPQ6NCIyB4+EEJ43V94ljrmgoKDAwJxEOxWXQswhhM+/jHwLCgoKbgVc+ACTWwQPXrYBR8LteF234zUBt+d13Y7XdBQUYm5BRAsi+nUiem0I4X4iejoR/UsieiUR3XL3iYieQkT/gojeSkS/TURf0V7X+xHRLxDRP20H99xSIKLnEdG/JqI/IKJvuJWeFRFdJaJfI6LfaJ/Jt7TbX0FEf0REb27/PrS9rvcgop8Ux79QpHUSo2WnXlO77znttt8mol8UaX1We01feVnXczIIIZS/pgP0qwH8YzSdkgDwAwCehGZQzPMu2749rud9ATyzXb4bwO8B+M8B/B0ATwfw3wL4W5dt58RrWgD4fwA8FcAawG+013RLPCs0UUk32uUVgDcC+CgArwDwGcbx3wjg29vlJwH49+1132jL6hLAP73Fruk9AfwOgPdv199b7PuJ9hn/CKd5p/6drLq4SBDRfQA+BcDLxOYF+lDG3NDRk0EI4e0hhDe1y48CeCuAJ6O5Lg75vNWu6yMA/EEI4Q9DCBs0L/Cn4RZ5VqHBu9vVVfsXC4sKAO6mJvD/Bhpi3uKERsvucU2fjSZ07d+253ujgE/2OV4ECjE3+C4AX4dhPPlLAfwUgP8SwD+/DKPmAhF9AIBnoFEz3w3gfwfwtwD88OVZtReeDOBPxPrb2m23zLNqXWZvRjMtwc+FEN7Y7vrfiOg3iegfENGVdtt3A/hrAP4MzejYrwgh1OHERstOvKa/CuC9iOj1RPQwEX2eSOpBNNf0UHuNdy4uW7Jf9h+A5wP43nb5OWhdGbfLHxql9TCAF1y2LTNcy2cCeJlYvx/AP7xsu/a8lvcE8C8AfBAatxMBuALglQC+qT3mMwD8g3bfBwL4IwD3XLbtB17TdwP4VQB3oYkR/n0Af/WybT+1v6KYgWcD+FQi+jdomsbPJaJbTUmaIKIVmkmjXh1CuB16xN8G4Cli/T40avKWQwjhnQBej8Yn/vbQ4AzAy9G4bADghWia/SGE8AdoiPlpl2JwBjKv6W0AXhdCeCyE8AiANwD4kEsx+IRxxxNzCOHFIYT7Qgj/f3v3FmJVFcdx/PsbI1To3hBGyRiFIURiyuQlkryQb5qV0YU0KgglECKjlxp6kYikspzITB8KMroiIVZSWVlpoo43fPASgZRRD9FNZvz3sNZxzoznnDkzXs6m+X1gmH32XnvtdVT+7r3O2b/dAtwFbIyIexs8rFOW5yVfB/ZGxPONHs9psgW4RtIoSeeS/r4+avCY6iapWdKFeXkYMB3YJ2lEXidgNrAr7/IjMC1vuwwYDRw42+OuZQDv6UPgJknnSBoOtJI+/7AyvvPv/2sy6VK/I8//ATwZER83cEynJCI6JS0i5XkPAVZFxO4GD6s/RgBrci55E7A2Itblry82ky79t5Pm/wGeAVZL6sjbluSzzCLp13uKiL35VuedpM90VkbErip9D1oNycowM7PqBv1UhplZ0bgwm5kVjAuzmVnBuDCbmRWMC7OZWcG4MJuZFYwLswHpBgZJb0k6kDMMNkua08c+LZIG9B1USfMlXV72eqWkMXXuO1XSuoEct16Svsm/WyTdPYD950tafvpHZoOBC7OV7s76APgyIq6KiBtId9VdcQYPOx84UZgj4sGI2HMGj9cvETEpL7aQEtHMzhoXZgO4BTgWEe2lFRFxOCJeghNnjZtyiPk2SZN6d1CrjaTHJXXkMPWlkm4HxgNv5sD0YTltbHxuf2vuY4ekz+p9E5KmKT3soEPSqlKimaRDktpynx2Srs3rmyV9kte/KumwpEvztlKU5VLSLcTblcLpe5wJS1onaWpeXiBpfw5/n1zWplnSu5K25J8T28wqcWE2SMH522ps/wWYERHjgHnAi/W2kTSLlJXQGhHXA89Gejr6VuCeiBgbEX+XOsm38b4GzM3t76jnDUgaSgpnnxcR15HiBh4pa/JrHtsK4LG87ilSNso44H1gZIWunwA25XEuq3H8EUAbqSDPIAX4l7wALIuICcBceuZ+m53EWRl2EkkvA1NIZ9ETSOHnyyWNBbpImbq9VWszHXgjIv4CiIjf+jj8jaQplYN1ti8ZDRyMiP359RpgISlrG7qfN/cDcFtengLMycdZL+n3Oo9VSSvweUQcBZD0Nj3/DMakGSMAzpd0Xgz2zGGryoXZAHaTzuQAiIiF+ZJ+a161GPiZFM/YBPxToY9qbUT/nrTR3/bl+9Xyb/7dRfe/+4E8JaOTnleaQ8uWq427CZhYfmVgVounMgxgIzBUUvml//Cy5QuAIxFxnJRYN6RCH9XabAAeyBGPSLo4r/+D9CzC3jYDN0sa1at9X/YBLZKuzq/vA76o0R7gK+DOfJyZwEUV2vQe5yFgrKQmSVfSnTP8HTBV0iVKOdjlUzAbgEWlF/mqwqwqF2YjUsTgbFJBPCjpe9JUwJLc5BXgfknfki7P/6zQTcU2EbGelJm8NcePluZ3VwPtpQ//ysZyFHgYeE/SDqo/OmmapJ9KP6RHZy0A3skxmceB9ir7lrQBMyVtA2YBR0iFuNxOoDN/ELkY+JoUWN8BPEeem4+II8DTpP9YPqXnnP2jwHilxyztoTvW06wix37aoJW/tdGVc54nAisiwmez1nCeY7bBbCSwVlITcAx4qMHjMQN8xmxmVjieYzYzKxgXZjOzgnFhNjMrGBdmM7OCcWE2MysYF2Yzs4L5Dx6WU08Ona5GAAAAAElFTkSuQmCC\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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4sE9cjoMIfXu2LkubAcbXZRQsuDDZhmEoM/PH8czX2jcmNGrP9YVhQbNAt88Ous+e5djzcVb5bdvaufvz4Wto65ip+33smFEw5WLQGFFDQ8OKY00xIiAOsx8lmC5MbsveJz8y8GiNHfTbwUYNHhEtXcD6UqtOan1gL1cUhGeMgm0rE6NWaY9TGTYsTLa/06VtGOMyNjk6zgDb1vqANXGfOJiS2/D7jmx0mOwLsxuf1sNpGrWaaH1VPAyR3fHk8pttObXqtsZURvejLPfMyK6HpQ9Z+/bcRLa0rGpuzcPGGMJ2aqJ4Q7DsjEhEThCRr4jIrSJyTln2ZBH5nIhcJiIPKst+Q0RuFpGbROQjInJYWS4iclHZ/2YROaYsP0JEFpb7fBoaGnYdy+o1E5F9AHwVwL8BcAeAzwN4OYD/DOAcAKcA+JqqflhEDlLV75T9NgM4WlV/SUReAuA1AF4C4FkALlTVZ4nIEQAuVdW55Ni6GdMJiUDutap5tbIEwfNJZgHI0wSyGB4Plm2IvCgG9tbUki2zeJIoSdTA3hMDe2b8sTJx+Mi2Y3FbLAZn8PawzGM0JFmUETGJTKqlViQhkwExRhHVlmfWzffFV73tS6Ltk3Ll/vJ69pie31NRFpj0dO6KDMhyT82OBXCrqm4DABF5D4ATAewDQAH8AIAAgL2ECh5a1qNsv0W7N+h1InKwiDwWwAMA/mlZzqKhoWG3YrlfRI8DcLv7fQcKqwHw5wC+BuBiWykibwFwOoBvA/jXlTYep6o3Yjw9b2hoWEVY7qnZywC8SFV/ofw+DcCxqvqanv3eAGB/VX2ziPw5gN9S1c+UdR8H8HpV/etgv8sxfjk9ZDPi1AIOvsvqOEWuYEMW7AfE4fTANIX30wmmxWzUjJQgDVkQXqRZbSkRlt1//K8+FwCwfcunAXhX8VhZoEbvuX3uU02VkqcGPLXx09K+INHoPrNuD7vva/3PAjH9tJsN5Txtryllgrap1cXLdIJqteKy4NYoONHOjZ+t6D4H6THf86tV9bTpvaax3MbqOwA83v0+HEAgHjGFKwD8zGLbUNXTVPWhqvrQJfS1oaFhkbD/t/I36CUELD8j2hedsfoFAP4POmP1qar6pWDbo1T1a+X7awAcr6ovFZF/C+DVGBurL1LVYwccW7edHqdv2Ahg7l1jB6wbXat6yqNqZMTkdUNqfWXJkDUFxcwIHlW35cBJuz61Sq99qov+mNuo3ZoxOUuNiFJUDFlCZqR3zX1iRuQNwxaq4MMXgGmDcU1VMzufCFm4gIe131clxD8zfY6LIUZ9vm72fwJMVlxZNcZqVb1fRF4N4C/RGajno5dQwXki8qPoDNhfB/BLZfmH0L2EbkVHAzfOttcNDQ2zxrIHNKrqh9C9TPq2+5lkuQJ41VKOvWPHeDQx1gPkof6jkaB8+tHDRhgL5mObS5/kBzDNQrzmM7OyzD4Q2ZWsTpe5wdlW5Ptn7YxsQVvKPkH/MxsHXzdgmglF1x2I7VYsdcKBiH4/lmqx5fYZJTdn9zsKWB0FcWKyb5HWN7vvrf8jRhowSlZktOPU2DKrdV5Y7t0FWyavgYf1hW2bPiTCrstOvlcLk/v40JeIbS8Fyx7Q2NDQ0MBYszIgXLMbmB712LMQVV9YTE1xttmwl8MHinGQINsxokTZvuqtNUmMrI59ZGPJghW9jYUDMPkaRIJjXOk1qzQK1FMt/HlEXqHMlhbVrasJxfnjAHlt+tH6pA0PtgP5ROZMi5y9XTXvYi3wk71wLBkSJcpyf5oMSENDw6rFmkt6tRHAj8Q2UnG9+ZFkCO0LTKcjcNxP5JWzubZVsmC2EMWkWHUNTu3QIB2CbU61lAm2pXBcUsQSLCDL2ALHqNRGemZPNW9NJl/i27Bk1yytYiTIVkkLsX3tON4rd+EVnUTrhiLPyh5Uaz+K2dlM14W9st6Wxmk99qwZo/Tsg+8vJ16zxxMYy38ww7ak2lOdB8xsQvZ8ZvczmgWsXz9ZkWWxaIyooaFhxbGmbEQLc4urc26MwpIU/eiU2VSimJosxoXn9FFMkPUhi2r2dc5tRGPbViT50CcGX5OkZbkRjqHy/cwShxcjX2uIhNEWU52UbYDW3s4guZNtUFwlOLLrsY3IbF7sKYwE2DJ7mG+fwSzZ2vLPBHv9DEPkiUfVWz/WRdt/8jc/PbUt29KajaihoWHVor2IGhoaVhyDpmYi8gQAR6nqx0TkAAD7quo9M+/dboRNzWoqeVn1DqbawLRGC8PTY04LiILhMmTaP7W6YFn4fjT1G+qa9fvbufnwfkZfGsLG8zpj8GtP/epon0xlMeo/G8qHTJGzEAI7n8hVnoVn8DXw7fLx+PmJyoTzfYhc/dz++ZR+wkGwfh9+1qJqLVmScVbdA5hO65nZ1ExEXgng/QDeXRYdDuDqpRysoaGhIUIvIxKRm9AJml2vqk8ry25R1X+1DP3bbbCAxtpIaeBqoVH9K07pYIYUpS5sPHvS+D0VSu/Ql6xYq9iZqQjW2BOfs8EbrVkuhRNmawmydu5mdI9kKJiNcVpIxEgzF/+QpOAh6DOGe/Cx7bpY+kxUMbhPQbHGNvkaDDFA87Pst2WWmgVDRkqZG88+GHLW3TM1Vt+nqt+3HyWDfm242hoaGpYFQxjR+egKKJ2OTiv6PwH4W1V94+y7t/tgjGh31YFnBlFL/uur/Gnw7GaIHjG3kYmEcT+AadsTs5zINc8pGCzIxdrcHsy8Ihsb22qy+m++vex+cjKsR1Y9d0gYgmGq3hymbSp9IQxA7raP7jezeev3EF3zISJt3L8+2yn3d9YpHucA+CaAWwD8IrrM+V9dysEaGhoaIvSmeKjqDwD8Yflb9WDvBDAeUZjdsE3Ew0b0EctY6D4itmNSIWzz0LMnUzA8S8lGfLO1bN9a5DrcevaEZHIavg+c8DvyxJRr4UdqHinnFyaP5xkF26Vs5LfjZt4c3471O/IyGXu6qazj0dpsUf4+WLs80tvyKGk3S4g2+GfD+mD9ZlkTa99fU1s2FRhIgazAdHVcS3Ph6xMlN/O+kR2JAzztGrCMiW8/q4C7WKQvIhG5BRVbkKo+dReP3dDQ0ACgYiMqsUPAWITs8vL5swC+p6q/PuO+7VaIiO48px5rwWym5lFiGwTbN3xKAMeGsH3GmEpUa43BI2eUqsKI7AGZ2H+fnckf21CLeWHbRBYv48GpEVkxAyAXqucEUWDaA1kTmeMYI7a/XFjSHi7ZNE574GvJtrOI5fbJyER2PU5M5jQgj+zaRTFNmUeN7ViZxM1MpGJV9esAICI/rqo/7ladIyL/C8CqehE1NDTsuRgiA/JQEfkJV77nOegKHq46XHfdeITw9oD1ZeTN5F0jaQ+W1rA25oMRKEqq9IhGeh6N2L5g8/WoLBInZEZR01xGiJlJVPHVzs1sExwD46PJbyJmaH04mSOig+OYvY3lRSIJVLsnZgNheQ5/z+zeZ6V1bnLsaSQXQwzaGMp9H/v0VJ9GkrN0H5hZ3+RYSBbhPsLC+GsWGW72QvZq+nNj+48xd8+AjzyhiyNaKNInkWSOP+5UXyoe6T4MeRH9PIB5EXl4+X03gE1LP2RDQ0PDJIZ4zf4awI+JyEHobErfnn23Ghoa1hKGBDS+KVq+Go3V8+tiHRxWtjvy9M4Q+doXdvQ7q0ABTE8bmAID00mvjEi3pq/2mYXjX3LOOGnUpmKc+BmFIbBx2vZlQ2XNsMpGfY++1AtD5Gq2dlmFMkpUjqqNeETa5AY2bEdqi6xDxEqH0bkzasnHmTE8CrLMkoCHXAvbxsABrNwvIE8Ojv4PgO76zrKu2b3u+/4AfgrA3y3lYA0NDQ0RFq3QKCL7AbhWVV80my7NBsyIIsN0Jl0RySHw6J1VtvDbGrJExyhdI2NatTAEw/mV0P++0S9KcLRRlJkFG0CB6YA8Dqq8rsdB4PsSpUHUAiL98SJHAK+LJDEM5qbfvqUYpwe44qPEar8+Aj8TURBqLbE62tcjk/SI0JfQ7dmVb3dXGNGQFA/GQwAkl6ChoaFh8RhiI/IR1vsAeBSA31DVd8y4b7sVIqKbMSy4z2DbMLMAcltKVg3VH4fn61H1BdY/tlGOJSWi6rOZLnQkY2LIbAhW2QSYttXUqmxkFSA2UlpLjWVmOtH+WFlSai3B9PhfndRg5kBB3x4ziFpA6dRxTppMx2E2CIzZJQeF1pg124RqicTcJwOfh+8DbxMFfBqYBc7SRvRT7vv9AL6hqvcv5WANDQ0NEYa8iH5TVU/zC0Tkcl62GuAZR22ufPzvnth9OfsaAONa8hecNw5i5P37fgPjEY3Z1IZgRB4JnyWT4JqcCY+Yo6okpVYXAFxVxK/smnCaiS2/7x/G5zzF6Eq7kd2N0ylstOWKKD6w1GDnHHl2+lBLIbHrfVXxho7OZ2F626ze2+heVexWI1vfwuS5hvXZEltddE05BcOOM2cJuqX/UVoLM8dItqbGxvzxPXzicBicOhBDbERP9j+KMNrTl37IhoaGhknUkl7fAOC/ATgAwPdsMYDvA/gDVX3DsvRwN0FEdNvp0/NqYMx4bPS33wzPDsxexJ4XQxTTwRIexkKi2lOWyGjH5NiNIfWo2O7g7UCcOMlzfd7X788pJJFHpi+xN7OX+fZqMUiZDGuNKWb7RsmihiHiZoas5n0trYL3NUTsQq+YjB3L4of8NWAWU6sdFz0nHna9xKU3+fSV/c+bgddMVX9LVR8G4LdV9aDy9zBVPXS1vYQaGhr2bNT0iJ6kql8G8D4ROYbXq+rWmfasoaFhzaA2NfsDVT1TRP4qWK2q+vzZdm33wqZmUdBaptXLsOxkAPjkH3T0mIPhorK/rKvDYfwG767mNBMDG5cngggLdZdiiM7KDAN5CglPQaJUGA7Ms+sVKUBmwYPRlJbDGPg61SqvsMs8KtHNlUTMUG7T7Mh9XwtqzZAFu0bPlb9mwHjqGmluZzrphiiotlYbDsi1hYA8HCRLC9m0YzZ6RGeWry9W1Z1+nYjsv5SDNTQ0NEQYEtC4VVWP6Vu2p8MUGn1QosGYjhkBbeTEU7rSbabCt/FTG0f7bH/TJd2+xYCHRz8awJgp1YzJrKiXBf95ZEF+UV2wrJZYNJLxKG0jtBnsWXfJ7zvqQ+DuZRXErEZWpG3DbCxiYlmdrkx90YPry7FeEDAODszqpNVShTKlw8iQXjN+++N4cAoG36soLSdjopFTJQsO7atQPJOkVxF5DIDHAThARJ6GzmMGAAehS/NoaGho2C2oBTS+CMAZ6EpM/65bfg86t/6qw+vPiyUfDjusYzGjEbGwGxz7TADAxqsPATBmQd0+3efYbdx9GttBxSXMinrRiMmBeaz8aKOTD8KzZSNGV87jqoXpdIpshBxXD+328fXVo0Rb/3vj/HPHy9ZN2rZOJnYQpc1YgOTxZxZb3F13lX27vlhqBgBIsZ2dTP1Xsq2MrgXG191CItim4u1tXMmCq6tGDIZd5TUmZIgq0maYqpgxYm2Tz5pP5cl0riPY85HVWovSlxYjh1JDzUZ0GYDLRORnVPUDu3aYhoaGhhyDZEBE5N+ii7AeGalXozCar+LhEY3oAIAv3gLABTo+ddprZuBa7t7DkyXC2nJOwvR9MvQleQLT9gsWXIsq1bIcB3uJopE6S/AdsUFM25Yyz6RnprbMbHZ8jaN0CvYi8v31gYHsvWIvXZRiw3ImbCfxXr8sJYW3jZJ3DXzfI7tVZteL7jN7NDNW6/vC2te1YEvPhHbFa9ab4iEiFwP4j+jKTQuAlwF4QnWnhoaGhkVgiNfsZlV9qvs8EMBVqvqTy9PF3QMRUW9P8cmWNkocf+3Z3Zf5+cmdn3d89/nlsTDl9g93ozXLdRgi+QmG9cGYlrUJDPd2+NHRRniWtjWbi8UXAWPbUhZnUpPUzewZUQqJIROQ8+3zOdlvb+cxMOOyhN7XlnOMWGhfDFB0zzJ2wBIxfhtuI2ObHllsVsQYo3vvEcVD8XFqnk72bHKlWn+enlnPWhjtn8vn90TkMAD/D8CRSzlYQ0NDQ4QhjOi/A3gHgBcAeBc6kbQ/VNU3zb57uw81qViOYuWR5sizOlmQ7RdcM1rG8TbmkTEMESFjBuM9SFn9+hpNP+hDAAAgAElEQVQryQS5RtVJt5442vaTReKEGRYzgaj6LNupopGevX5RLXd/fGB8zTji2a61H4mNJfnIY2C64m5kq2PUkoJHditKkK1JudaKCgCTbITvK99v/xwxI8nifTwycbOa7Y9jzJjBRfvOXBhNVX+jfP2AiHwQncH6SUs5WENDQ0OEIVOzEVT1vlLX7H0z6k9DQ8MaxKKreACAiNyuqo+fQX/4OCcAuBCdVvYfqep5InIkgPcAOATAVgCnqer3ReRcALep6qVJW7rt9Gn6X8NIl+ikn+4+r/6fo3U8xcj0iQFnND5p0ujKIfkRzWd6bFUlLO3Eu3c5eZOpu1doNNe4GSij2meMmmvZ9xmYNkZzYGZtiszTXINPOjbDfqZzNJqmnjm9D7vZa654Q6ZeWAuJMPA01xu4o4RbINbM5ukgT9EibenMOD1ylDjtLTZNDLlOK1nFAxiL6c8MIrIPOpvUiwEcDeDlInI0gLcCeLuqHgXgW+hKYjc0NKxi1GRA/gzxC0cAPF9VHzrTjok8G8C5Vj+tKEYCwH8G8BhVvd9vIyK/AuB2Vb0yaW8i6XWUrIrpYLVMwS8KFGODcxR0ZiMY1xfjQLrIiMl94DB/P2JmbuKIcZkxdxsZlc2tb0zCBxWOAj8paZQrpgLTjILlOSJw+8aMzFmAH/kX440fVkIq/vS/AADuu7nr5xAlyyF15TjFg1lmLRSADc2mgX7JSdcke4wr9xpri5wSfYwrql/HCdYcfOrZZxRWAASBq45Z+0RxOevumRir37bEdbsLjwNwu/t9B4BnAbjbVRG5o2wHVV2OPjU0NMwAtVyzTy5nRwJEb9Z9gmXpNFFELgdwsv2+4go/Go5HAtZXtpFs/ZZuG2MJnuUYU9lQEkqNCXEt86hds/P4lA7uh217QenDqHrEHFJsIBZlfTN4G46N+GYj2IbJbW2k8zDGYGIoxoRshIzY0+h6WyIxJt3fHqOk1ru+0Z3HOzd1v2/9393nDZ8fb/wj3+o+n/PjAIDryrGZebEdC5gWbTNsdoyI7x/LsNRYLLviX3vMNRO/Pew6GRPie+efOe6T7ZvZ4YDc3sZhCB4sY8JM299nO3+zd4qIL1F/1dBqP0PKCa0U7gDgDeKHA9gB4GAR2bewosMBBP/yHcpFOA3opmYz7GtDQwOApZpsluQ1Ww6UskVfRRdI+X8AfB7AqQDOBfABVX1PyYO7WVV/b0B7qlc8cSqR0oOTRBkTHp4SHGiBgdyG90bwqGSjKY+y3oZj+4/kLM6bTNOIZEENWaVXj6yOPbdbs7GYHcnsMxELZFsHJ2F66Q079iilY1NhRGYPwuHTB8CHuo+Pf6Try8c6lmlpM9Y3v4zZh92fKBm1T2rVJ0rbsYdUKjGYJ9D3E5i+/0Bum+tLXfGw5zMK+DRwe2yX9MnNhu1b78b6LcvvNZs5CuN5NYC/BPB3AN6rql8C8F8BnC0itwI4FMAfr1wvGxoadgeGpHh8FMDLVPXu8vsRAN5j3qzVAk56jWIhDFlNsVoCaGSLYIxkRIrgl412tdrlnEaR1RTzMA8eV231YLkSroVWY1EG9nJFQu8G9iZmUh+AsxW94NfLkmeUzwPdVt8tn5eWz8JuXtGZJDi+CBjfV5aIjZgji9obmPVFSal8nbjOvLfh2LXjmnpRPFqW8sK16GrVYdlDGDEiTpo21GRMtm2bsQwIgEfaSwgAVPVbAB5d2b6hoaFhURjyIvqBiIze4SLyBCxDQGNDQ8PawRCv2RsBfEZEzJ3/PABnVrbfo8EuTyA3KnIIvZ/imMvaDJ+ZSxhwrt7rum3NYMhTMjNI+3ZNx5lRq8/GOstRGgHTeE7xiOqOZSoCNq3whvPptJYSnHh6nqLiFTA7fKf7uOfN3efDftat+ywAYPsrXjPRLiNSjeQQiEhbyGBGXd7HDPVHHnPXaJldh6mpfnlWzqIUE2A6WNa0wg3ecMwqAZzlb+t9vbMNC9Zu92nP8M5g6mnPIZ+ztWv3cofro792m9w0eLEYkn3/4VLp9Th0sT2vU9X/u/RDNjQ0NEyit+S0KzdtZrp1IrJuNZacPu648dvdGwGZCdnIZqP1XBA6f/KOSXZjbCNSsePk0yxMwAcRWp+MZdgoaqzJlAijKhsGdiNHruasIkeUTtCX3uATTK1/UxVESrCinZc3/h75mI5dmAH7+EO66imwz4d9aOqYR/56Ca98QveY7ihBonZ/fegEOyFGwZzbJp0S3bLySU6CkWEY0/Xr7N6cX+7jyAVP9fIOO2zcp0wXmmvrAcC6Ld25maOBa9yNkKRqeESOEQM7LEZBl1unU53s2cpCXoaixojORjcF+51gnQJ4/q4duqGhoaHDEPf9/lHJaV62p8OSXg0TIzEFtpm9YXsZgaLqDKzjyzYin1TLVWA5SXGUHBkwCpvvsw2H5TuA6cTMzA3rz4XrynMyZKQ0ObJllTCEWrpA5so+n1JM/DFHWtXzkykfls4BALj11u7YhQHZtWN5kAis5T0KcDxh+vrbfebUkahySV/l3ihMIJNdiVzlNdkV3370HDGLjaq29lXvMPggWP9czloG5LMDlzU0NDQsCTUZECs5/SfoUit8yemLVXVVycWaMJoxFV8FggWf2OvBMghAEOpPc/rXvvDTU9v2BSdGozgHsRleH3goMhEsG83FnXNWGz6rtgE4tndCXDEjAjMHC3rMRlvApcm8cJKZTrBMQ2GbnKQ7JEixFpxo4HuTBfn5/TnxmRNkvUAei5HV6o+xAFpWUcT3kStzcN/Wu2c9Cm4EprXKfVUVH8S6KwGNQ0tO/w7GL6LvYJWWnG5oaNgzMcRGtFeUnLbs+8jTwOkOPMKzzAIwltEwZpLZjPyyTIyM60j59jixNKv2CUyLtBlqMU4GThuI2meZXWZlETOyEZmFxrhN3z8+jtmRvKgax9RwpZWMwfjjGFgUzrffV1G2ZjfMbDgezBiNqV80veno+cziw4yp+OvEzy7HQy1GHjeyffm0llnbiJ4uIiMuJiKPEJHfXMrBGhoaGiIMYURfUNWn0bKtqnpMts+eCEt6jerM99WktyjgCGxTiYTRjKnYKLeT5vKRMDuzA/ZyZKOuR5aE6dszsB1gSCVQtsNE7CaqSeb75lmmMUUWFhutD6R6OZlzqs9z08vYFmReQG9n4pip7Nx9EQZmiENYFLObWvECA3tMa4nQmchZZE9kFmhgG6nPMPDXctZJr/uIyH72Q0QOALBfZfuGhoaGRWFIrtmfAPi4iFyCLpBxE4DLZtqrhoaGNYVBCo0i8mJ0SokC4COq+pez7tjuhgU0Rm5RpvkcvBZVoGAay0mwYSAgVacwjGqWBcFxhmyq5vfhEtNZ2IBvh6c0bJis1cjiPtVczbWwAAMfk3WV/FSNDc58DaPy4SOjLk3FFjOFZb3xyAGQVWmJpk6Za9yM1v7+cnntIffBTAU8bYy0kQyZuSErdW3nsSvG6kGa1ar6FwD+YikHaGhoaOjDEGP1cQDeAeBfAngwukoa96rqQbPv3u6DiOhmxDW+MqNxZrwDpoPH2AjoR+IsSI3b9S5bc7NmRuUIXHeK2VnEAjmZc57670dvDn6cqiQbjN5ZFdJRIu7Z0yyQ0xtqwY+Zkdrg942Mrf44ESI2CeShEsC0W52vpW/LG+uB6fCSSKFxqmbcmZMBph5saK7dQ66Hx6hVJL5pR/f8ztJY/U4ALwfwNQAHAPgFdC+mhoaGht2CIYzoRlV9hojcrKpPLcs+q6rPWZYe7iawZrVPDLRk1KWwDwPbA6LgxMweEwVMcuAZy3MYatVCWNwsar8vODGy+2SJoH7bjMWwPSNKkcjcxx7cbx7pDbXATE7i9frZfe56Y7c1932fTa12HEPN7pYtrzHIGnhGwInREUv3gZi7woiG2Ii+JyIPBnCTiJwP4E4AMy033dDQsLYwhBE9AcBdAH4IwOsAPBzA76nqrbPv3u6DiOj8unhUyTwLBqthhk+54rcl2ZJrZEXsgIP3sjD7rDoCkNuTvNeD7T48MjKL82BbAnusgOkRlxmeZ2uZh4WDRcUlB2cpNtE1sP5x2kxWnRSYTkqNvHF8TAafT8TE2CY0VQfs0ePaE1mybq3/fcyodj587yIbGrfLfYrOeeP8cyEv/PTsGJGqfr18/WcAv7aUgzQ0NDTUUJMBuQWVah1mL1otMEZkb3cv7pQxFGMwnOAKTI86bLPw63l0i2pu+fXANKvJUi+8jYK9clzvyiNjM+yZqVV6HQI+9yzGyS/L4q1qlVjZqxXVgWfGmDELYHzthiTrGpjZ9qVK+GV8nbkKsD8my9XwtfTeV5Z7yWxdvl0Dt2/wnk7DLG1EP7WUBhsaGhoWi/RF5KZkDQ0NDTPFmgpo3Hb6tHYLMJ1OwXS/lsLAUzR2x3pkBmebOkXTIJ5e8bTLH4fLCFtgoxlEI8Mk697UyjDzdCTTWfLIpqFh+eWiUW3qltm0BZg2OPP0pBZ6YeB2fV0503/i6S5P77yBPqofF/UpCnPIXOXehMAKihw8GwVMGrKptn8muSS3XjCd2gTktftmnX3fAhobGhpmijUV0LgZcdAXu7WzAK5aDTHeJqoSYomM3AcLDIx0tHkkZm0jb4juS3fY5EY/VonUK6aD+oA8eM2DK4EAeUoEK0/y8YDccFtjmXy8WgLrEBabOQWsGq2FbUQGdAY7MqLkY+tDxnqAyfvnt2Vjsg/i7GNCmbaQbycy/Bv8Oc866bUFNDY0NMwUQwMav4HOPrSqAxr9aFOTlIjqmAGTIw/bCni02hmwpz4N4Ggk4xpomWsYmLa7sH0psvewpnSmpOiPnVWPiIIfsyBLVnAExueYJV366x+dPzBMTTBycwNxmIOBVRGzZ8Qfs1aRw5CFWETbDk3x4DQg3wcLJLVKv/5+Z4GLnCbjmRNfy+UIaNyJFtDY0NAwA9QCGk8EcLiqvqv8vh7Ao8rq16vq+5eni7sH5jUz+Lc6j9qGWkAgB5VxRVYPGxnNu8QMJUrJ4BGYvU+1pFRDxkqAabErRk36hPsQ2TdYJoW9fVyRItq2lgDaF+hpiJJquY0odSFjfewhjGxEfYms3hNmYNvQkFp6mQwL2/CAXBu7pp+9mPp+s5QBeT2Aa93v/QA8E8AcgF9eysEaGhoaItSmZg9W1dvd78+o6j8C+EcRWZXG6oWFxLaw0H2wROkcVcNUS34FcMlJXf2syHvF4BgajhlRkjflPgP5qGreLmDsyeGRzEY/30ZfPbbMBuP3GfWx/PYjpbVv13KUikIMrFaFhD2GHmybsW04DaImelaz0bGnyM7HmEvUrrW3k9jTZnquNrt97RnIvIxR+knGfC0lJmJ2BraTRTFHxr6ZdUexZ3ZuJ88BFy1MtzUUNUb0CP9DVV/tfj4KDQ0NDbsJNUZ0vYi8UlX/0C8UkV8EcMNsuzUbrF8fR97a6GmLjBUY6xixHScDYu3YCJnFqADjEcpGD/u9rWzLkatAXP3Vt7+hjFJeHtRGN/ae7E+jeQQb8dnz5o/PiZ9sn/Gj65EnTMYJ1arMGjLWN18+vWeSWRjHKVns1gVbxteWI+XZlhOxnMz2xDYk376xPI7zseUTLGTLZJ98EjODn122U84Ffc6E7ww+3iq7LgY77sluWSS6txTUXkSvA3C1iJwKYGtZ9nR0tqKTdu2wDQ0NDWPUkl7vAvAcEXk+gCeXxX+uqp9Ylp41NDSsGQyqa7Y3QEQUiF2qrAfNlTkit6W5SvtqiXnwtIfd6pFR1pBpI3n3NxugmTZHKQxZ8FqU1GlTCw7erKVecF94ClLTeMo0vn2/DVkCse9rbWoK5LrXwPSzUWufa7lxn4boOUWG+kx9ktM4ao4GDkOI7p0h08L298Wf466keNSM1Q0NDQ3LgjXFiHywYVTRwpJPTQahVpWUmQQHs3l3fmb84328K96M0FlFztqox0motaqeoz6W/nK9rv0dY8k0pWuGemZlWaJmBHYxR6kffcm1tX4OYVyZTErEXrOk0SGMZYhOtyGrEcdMFZhO3eE+2TMPTLP7vj4Ck0y3MaKGhoZVjTXFiLIqHmwvGTJiZiNWNDoxk+B6YBGLyhJKuQ0fBMkJpTyy1c45638kvMau8+h6MWNgphKlVWSiZrVkUWYotWRURibHAozZQZb2Y/e0pjPOaTqRcBknTTNjjDS92Y7HffMJ11mydE04LhOBi54Z/3zOutJrQ0NDw0wxRI9ot0BEBMCFAF4C4HsAzlDVrWXd6wCcBuCtqnqliOwP4FPoYpb2BfB+VX1z2fZIAO8BcAi6+KbTVPX7InIugNtU9dKsD+vXx291ZkmZtywSFruJWIeNIhaE59s3MTAp9p9RIN1c1uPcu8Eia8B4JDNGVLMNmdcqY30LNKp7sM2rVu/KRtORraX8rsnAGpgVejG6edqWhdBYJheYvs/MZudcsmhmk+NAz4mqrXPdp52zsRv2qPp9+HrXpGdGzx/Z2+z6bAqCFrm2mjHo2j2zc5srv9l+6MFBrkvFcjKiFwM4qvydCeD3AUBEDkSXTHssAHMW3wfg+ar6YwA2ADihaGcDwFsBvF1VjwLwLQA/v2xn0NDQMBMsm41IRN4NYEFV/7T8/gq6l+53AbwbHSO6SlVPpP0eAuAz6DL+bwDwTQCPUdX7ReTZAM5V1ReJyK8AuF1Vr0yOrwtzwypc8sjJ9gdgeh7NIlgRasL3wGTMTsaEMnuWX5YhkijNbFG2bSQdksXS+L5mXr3MywhMy6NwH6O0HK6ey2zNF0ngpOLMThb1N/JIAXFsUuZVZA+c7yfbbmr3N5LmBeJ71mf/9La8zF7FEjeeGfn2Zi2ev7vwOAA+m/8OAI9T1XsA3ALgRgCjl4iI7CMiN6Erd/1RVb0ewKEA7lbV+30bAKCqb8teQg0NDXs2lvNFFL0pFQBU9bdU9WmqOhKFUNUHVHUDgMMBHCsiT6m1ER5Q5HIRuVdE7t3Fvjc0NAyA/b+Vv8uH7jdTY7WIvArAK8vPzwN4vFt9OIBeU5eq3i0iCwBOAPA7AA4WkX0LK6q2oaqnoZvydQGNzjAalf01jKYa1J7f3yg/G42jaZyBM/Z5uZcazrbhKYLXgMky9keaN26ZnYv1O5sKeuqeTTutr/64PH2I0mSAesgCt2WGbmA6kNH2ZU1pr1bIUww2pNfKU7MOeBSYyaqXNi2qaWOzWYCvj3/mWMXBYNc20p3ifTlUxE+zRqoQNAVjfaVM6RQAVHVJWmUzZUSq+i5V3VCYzdUATpcOxwH4tqreGe0nIo8SkYPL9wMAvBDAl7UzaP0VgJeWTV8B4JpZnkNDQ8PssZzGakFXrPEEdO77jap6Y7LtUwFchq6q7IMAvFdVf72sW4+x+/4LAH5OVe8bcHydXzc9ogHT2sscFh8ZNWvJrYyaxo9vy4NHtb6UA4+s2kO0TZY+ES3PqpDW0jb42rGuchRYl2k+1/SnM2NvLWCSj+PZX19KijHi+/5hzLjMlc378jlG58HVMLJ9gWmHS+0+ZM9nxAKZ0WXMeicxVttnV4zVyxZHVNjMqwZuezOApyXrtqFz9Tc0NOwlWFMpHtHc3INHvYyV+G3ZdR1pAbMMh9V4v2TTpyf2qQWXZS7bKG2DZU0ydb4IfF4Rc8zc3dFI3KeKGFUuyVzamfxE1Keor1m6TKjFjMlldpxayEJfJdbo2ehLiK0xOk7lqbH0rLqt6aUDY3bHEjMZQ/LHXL++Jb02NDSscizb1GxPwLp10wFwwHhEZEaR1eICpkcH/u1tKzyaWpXNkU1iIW7Dg0f+aPRjZjWECfGIb6Ps5iCcPwOzHsClLixMbpvZySKwp8fD7oX1N2MDngmYDce2nUpzcfuOmAgxFjsv9qgCOTvjNqMgUUOWzAsA64lVMjuuCa5lffJexZEmdfkc2bzMFlWW+2fb1h13HCa8motFY0QNDQ0rjjXFiHbsmE7UBOI4lYnlBZENx2I6mFlEI5CNdpsoZsdGmvVuRGYpVU5ktSTJKC2E+8QxML6fds4R6wAmR12OQTGWYOkttdgpu3YcfzUxiu+Y3If7UPMCDqmmOkpUtvbJ9hF5INmDyqkRXmDPqrIYMpbmz4NTagyjuDHXvl2H6H4C48ou/nhZ9dfIK2fPmFVAMZkafpYnqrUck1eXXQwaI2poaFhxrCmv2WbE3qfMq8GCUJHXJhNMj7xNhkzqwY9k1geOSeF9PPoSTaPIZ2YBNeEvsw0wU4wYS58HaeN50zIdtg9HR9dE5/sSQSNw4q0hSsBlZpUlIft+Glti+1gtyZb7H/WRq9fycznE+8rMK6rlxs9AVg0YmBTyX7+lec0aGhpWMdqLqKGhYcWxpqZmQD2QLjM0c0IrMF2LLAvVB6anC9nUJgIr6xmiaUpUa8u3P6RyhoHD/X27fJ0ig2gWHMqKjEPqgnGSql/XVxnFX9u+oNAJV/mWyWNnU+Sonay6RvTs9Wlh1YIT++rx+W37jgdMK2EO0dz2wbqrRY+ooaGhIcSaYkRZXa++6hG14DseWTihEsgrffLoFKkA8r6ZITTqA+8zoa9c9u+7JpGxOkviNDc+MA4lGHru/phZpVSfLMqGcw6UjIy9WQqJoZaiwmkUozbnxt+zSqw1NpUl4EbMmhkVP5+RAqSBryE7AmrI2KzH3FwzVjc0NKxyrKmARmAY6+A5fc22YiMiV/PwTGMoE1pMJVaD7xsnQ9pxo0DDDMyqIn3irAKEZ2mZLWUp+tBsq5g4JvXJELHYqbQJ2ieyV62n622BpAZ/fcxWdtXCZE00Pq7fh8MDauyb19nzZMuja8HpN8Zao4ocfD9H1TxKu9EMYTF2xxoaI2poaFhxrCkbERAHqmVerWy0jbYd4pnKqiMMwVJE1WpJu5mXhgW/fN2qxdREzwIBMwGzWp/YVuT3O59kTGtJtRmjq3kIs/pmtaDB7BmoVRnOxM1q0htZAO5i+uRThLhGGcvXRAJ1hoWF5jVraGhY5VhTjCizwfCIy6M5i4cD+UgZgT0jmf0kqomeeeO4yicwOaL7fbOUBt9exlisOi0AvPbUcToGMEwUnjEkETeLNfLt83Ey+0YkQsaCYlF8ES9j5hUljTID5ecpOr+MeUXn3OdZq7HBjG1GKSpZLBPbIIHJeLrmNWtoaFjVWFOMaGFuWPwKI5obZ/aSCBkj4ZG/FpOSeZSi6qpD6spnozbbrzxLYFuEJa5KYUq+L2Zrsojw7BrXkkbZRuGvz2h/ug87SQ7WszY+V47YjthZVrQgsvMNtSdFkdVZNdVadV5+rqK+9rEnbyPiCr5DijB4NBtRQ0PDqkZ7ETU0NKw41tTUDIiNpH1aP0MSD2tGwD79ochVy67mzFgdTTH7Kk9E+7PLPwrrX0xAZlYTK6uYCkxf01pV1b4whpqGlKGm/cPXmQ21XJWk1i732Ru4uZYeG8M9+qp38HH8OjYvROk6WeCtgaug+Pbt2rapWUNDw6rFmmJE8+tidpMFFmaGXL9PJl3h2UFmpGaj7GIkJiKD9NDqsMB0EiQbbGssJBuBFxOgWQsAzZhijf0NMRRn96HG6LKk1yg8oE85Maqe25c2U1PVHBLcytfBnrlIbZMN9Abutw8ZsSDIC7Z0bTVG1NDQsGqx5hgRjwhAf7WFmhuTQ/QNEbvJjhON6n1VKaJRsU9SwiOTqODqnhEi+w4wLL2lhszVHLnKObgxk96oVWLlCh019sHPDQc4+j5lTMvaOPKEcZDofTd3oQ9cg67GLjPJkxoLHCL3Yf1jZsfPkw+j8LamVum1oaFhVWNNyYBs2gHML0wvZzkFQ80ew9taDXEJ6jtxIOAU69gx3SaPZEOSannbWuVPAzML6xOPjhN9onUR4+JrN5+sj5bZOXJ9Ni8Dktm0WPLEX4PN1D4zIX9tF+j6M3M0BuP7lFU5mapRtmWcKsNeOa46G9mt7N6Y9EzGUIGcHYeMrqzjZ4/39fX37FxPDo69GDRG1NDQsOJYUzaibaePRzbPBLI4H46n8DEX2T414bXFSIj2xd1EMhqZByaKX8kSS7meWeTh4STO40/qr/a5mMRMvoac9lDb1hDZlbL0laitPq+iIUqkZkYRyYwY+tJyhnh5uQ5cVrU3QmRDq90jIPfONa9ZQ0PDqkZ7ETU0NKw41pSxemFhTMd9Jn2WWsAGVk+bmZ7WAgF5qmQ0v+r+JgM2bztkushG2HWVPnEfIrU/22cz/Qamp2QcQLehbJulWUTLaob57LrUkIUD2H32hmfO6rfpChv3rQwz4Az9C5PH2VTRMGLU9Ms5dYf7asujfbOptzfumzHfppLrgzppQBwyUtPjGoLGiBoaGlYca8pY7X/X9JsZ0fo+feXFjNS1SqlZUNkQIyb3oVajLGt/SIpHFDTXl1owUoAshm5gfP5Z2oYPpBsdmwIXa1VV7Vjbt05W2ViMuiYHLUZBkJkGehQQyMxziKaUnSNrL9VSPLK+eWQsX+n5zFh4M1Y3NDSsaqwpRpTJVPSleNTqzNs+xmo+efW0vSSryFnTve5LLI3c05niYMSiMlZTS5TNRnq2OwDTTCWr3lFzr9fqvI2OQ/emTyIjwpBad1laToS+iqwemUyH3UOvoJhJhNTYk+3PipUcUuLXZbbLWrrIqad2/WuMqKGhYdViTTEiYDr4yyNLVhxiLxlS74pTPTI7iu8fj/CGaPTKElZrdbsMtUBJPmatcqkhE/Ey1AISs8DDiHEZ2JPEIl++LxxIOoTdZIgE8Jih2HWKEnEzplULyMwCV2uJxX37Ark9smb39M9/sxE1NDSsaqwpRrQZw2wfhsyL4Pfh9qIRNBv1eBQfIjuaeen8tmlcVBDOn7Vfkyap2ZG4L1kV0lrdLu5TjXn1eTwj1FiHIbPzGDL5F9/uEGSCejWm2BfD5pHZj2rXn+1jmXSsx4Z1rYpHQ0PDKseaY0SGyN6QeZ0iG0WfcPlihN5ryLxlNRJPQVEAAAxoSURBVFsOIxoVhyRv9vXJECXIGrLk3Rpz5NidWtJrxoRqcTNDqp7ydc0SZT2ya1qT0rVYoOsoinlI/w21Sqws5GbHiZicxQtxLTpD7ZlrjKihoWHVo72IGhoaVhzLNjUTkScBuATAMQDeqKpvc+tOAfB6AFtU9YKy7OkALgVwAIAPAXitqqqIHALgSgBHALgNwH9Q1W+JyBkAjlDVc5Pj6/y6eGrAqQNZwmPNIMpGRzZEA/10P3LVcvvZ9MX3k/uQJbh6DAlHyNqNjO+ZJhKjNoX1U2FgMuSCXeV8PA7ki47JYRVDQjpqQZdZXTkDG4P9MsOQIFc2oGd9i9qtqXZmz6ehpptlWl+rYWr2T+jO5W3BulMAPBPAcSJyYFn2+wDOBHBU+TuhLD8HwMdV9SgAHy+/GxoaVjGW3VgtIucC+C4xomvQyd7+CbqXz4EA/kpVn1TWvxzAnKr+ooh8pXy/U0QeC2BBVX9URP4jgMf7dum4vXXNeDSquWjZsD3EfZwZboeAjdTR6JoZrocE7GVBnD7B0SQv2OC5K9Vzh1T+iBhppvhYqy9nzJeZTy2xNGMokY52FrS5mFQPPs6GoP+RU8BvW3uuhjy3fZWIo6TXXTVW7yl6RFcBuBHAn6jqPSLyowDucOvvAPC48v2HVfVOACgvo0eX71f2HeTQpxyDwx85vfwYW/+YyeUHliMe853pfR78BGuz+4za7TvOMQP2MRxufTpqsk/2GwAOD/rpjxuB+2K/7Xx8+3JY3IfofA7HJPjaHv7IePlEv5M+AdPXktvjfYHxPTtwP+rbQ/qPzf2241ubAHA4XWjb154jO070rAy5PnYsPg63UXuuhjy32TWNnonD/TOwY2t+4D6o6rL+ATgXwK/0bPNMAB9zv58L4M/K97tp229V2rkcwL3lT9tf+2t/M/+71/1dPvS9MFNGJCKvAvDK8vMlqvr3A3e9A5OD6uEAbN9viMhj3dTsrqwRVT0NwGmlL/eq6kMXdQKrAO28Vh/21nPblfOaqbFaVd+lqhvK39CXEMrU6x4ROU5EBMDpAK4pq68F8Iry/RVueUNDwyrFcrrvH4PODnQQgB8A+C6Ao1U1tGyIyDMwdt//BYDXFPf9oQDeC2AdOmXnl6nqPw04fhuFVhH21vMC9t5z25XzWjZjtar+A6ZtmLXtbwTwlGD5PwJ4wRK6cNUS9lkNaOe1+rC3ntuSz2vN5Jo1NDTsuViVKR4iMi8id4nIF92yw0TkEyJyjQVFish+InKliNwqIteLyBFu+zeU5V8RkRe55bct46lMQUROKH26VUTOKcueLCKfE5HLRORBZdlviMjNInKTiHxEpHOuS4eLyv43i8gxZfkRIrKwYieWIDnfI8v9+lq5fw8uy88tEfQr0c/9ReQGEfkbEfmSiPxaWX6piGwv9+EmEdlQlj9CRP5nuQc3iMhTXFuniMhWETnLLfuwa/tiEdmnLD9ERD5arsVHReQRZfkZJSZv2TGTe7bc7vvdFALwPHShHF90y84D8GQA/w7AL5Vl/wnAxeX7KQCuLN+PBvA3APYDcCSA/w1gn7LuthU8r31KX9YDeHDp49EA/hjAowC8BsAJZduD3H6b3Xm+BJ1NTQAcB+D6svwIdMGfK37/BpzvewGcUra5GMAvl+/nAjhjhfoqAA4s338IwPXl+l4K4KXB9r8N4M3l+5PQZQPYuqvLub/HtXmQO84H3PmfD+Cc8v0cAG8t388AcO7ecs9WJSNS1U+hSxnx2AedEfwH6G4mAJwI4LLy/f0AXlC8cCcCeI+q3qeq2wHcCuDYst03Z9n3HhwL4FZV3aaq30f3oJ6I7twU7tx00sj/0LIeZfst2uE6AAeXMIcHMH3NVhrZ+T4f3f0Cuvt3Uvn+XQD/vOy9BFCu53fLzx8qfzW7xtHoUpCgql8GcISI/HBZZ8+nYvp+7ovuH9zfT3uG/bX4Z3TXY7kxk3u2Kl9ECd4J4N0AfgldqgjQRWPfDgCqej+AbwM41C8vGEVuq+ozl6m/EbJ+XQjgzwE8G8BHbKWIvEVEbgfwswDeVGtDVW9X1ZNn2PelIDvfu8v98sugqm/TARH0s4KI7CMiN6GLXfuoql5fVr2lTMHeLiIWt/036NKWICLHAngCxs4ayyS4UVXvce3/ZWn7Hoz/qScyCQCMMgk0SWeaMWZyz/aaF5Gqfl1Vn6eq/87d3CjvRSvLVxphv1T1C6r6LFX9OVV9wK14o6o+HsD/APDqWhsz6OvuQNTXfYJle0T/VfUBVd2A7oVybLH7vAHd1OuZAA4B8F/L5ucBeER5cb0GwBcA3F/auUxVn6aqv0PtvwjAY9GZDJ6/DKe0FMzknu01L6IEdwB4PACIyL4AHo5uejJaXuAjt1cSS+3XFQB+ZhfbWAlEfd2Bbjq5r1u2R/VfVe8GsIDOXndnmbbdh07m5tiyzXdUdWN5cZ2Ozsa3fUDbO9EF7Z5YFn2jTK0hPZkEy4SZ3LO9/UXko7BfCuAT2lnQrgVwSvGqHYlOZuSGFeqjx+cBHFU8EA9GZ2C/NtpQRFzqIf49gC+X79cCOL14z44D8G2j9nsgsvP9K3T3C9hDoudF5FEicnD5fgCAFwL4sntJCDq7yBfL74PNcwTgFwB8SvPg3QNdO/uiczj4+7knZRLM5p4tt9V9N1nu/xTAnQD+H7o39M8n2+0P4H3ojNE3AFjv1r0RnfX/KwBevNLn5Pr1EgBfLX17Y2W7D6B76G8G8Gfo7EBAR53fVfa/BcAzVvqcFnu+6DwyN5T79j4A++0B/XwquunVzeW6v6ks/0S5zl9EZ5s0L9izAXwN3QvlKgCPqLT9w+Uf/GYAXwLwDgD7lnWHojN6f618HrIHXIvdfs9aQGNDQ8OKY2+fmjU0NKwCtBdRQ0PDiqO9iBoaGlYc7UXU0NCw4mgvooaGhhVHexE1NDSsONqLaA1ARH5YRK4QkW0i8tdFUuSne/Y5QpzMyiKPd4bJkpTffyQiRw/cd05EPriU4w6FiHy2fB4hIqcuYf8zROSdu79naxftRbSXo0T8Xo0usne9qj4dXTTsYLXMJeAMAKMXkar+gqr+7QyPtyio6nPK1yMALPpF1LD70V5Eez+eD+D7qnqxLdAuQfgdwIgVfLoIdW0VkedwA7VtROT1InJLEfU6T0ReCuAZAP5HEQo7QEQWpNMgN1GtrWX7jw89CRF5gYh8oRxr3rLcReQ2Efm10uYt0pU2t5SMj5bl7xaRr4vII8s6k884D8BzSz9fx0xHRD4oInPl+0YR+aqIfBLAj7ttHiUiHxCRz5e/0bqGRWClw8Xb32z/0Immvb2y/iEA9i/fj0InTQF0bOGLPdu8GMBnATyk/D6kfC7ApZbYb3SJn7cDONJvT/2ZA/BBWrZ/2e+J5fcWAGeV77ehK6wAdEJ4f1S+vxPAG8r3E9Blgz+y/P5udCx0TO6d7vcHyzaPRZfY+Sh0WkH/y7ZDl3D8E+X7OgB/t9L3fDX+7SmVXhuWCSLyLgA/gY4lPROdwNc7pZM4fQDAE4Pdsm1eCOASVf0eAGh/NZXj0E0Rtw/c3vCjALar6lfL78sAvArABeW3ibb/NYoGUDnHny7H+bCIfGvgsSI8C5265TcBQESuxOQ1OLqbAQMADhKRh6nTGWroR3sR7f34EsYSIVDVV5Upyo1l0esAfAPAj6Gbqu8M2si2ESxOd2ax2/v9arivfD6A8TO9lBrs92PSXLG/+571+0EAnq2qK6Icubeg2Yj2fnwCwP4i8stuma/2/nAAd6rqD9BVxY1ErrJtPgJgk4g8BOiE3svyewA8LGjncwCOL9Irfvs+mNTqj5TfpwH4ZM8+nwHwH8pxfhLAI4JtuJ+3AdggIg8SkcdjLB98PYA5ETlURH4IwMvcPh/BWJQOhTU2LBLtRbSXQzvjxUnoXgDbReQGdFMbUxL8PQCvEJHr0E037g2aCbdR1Q+j06K5UTolwl8p218K4GIzVru+fBPAmQCuEpG/AZBJiL5ARO6wPwBPA7ARwPtE5BZ02t0XJ/safg3AT4rIVnS2rDvRvXg8bgZwfzGcvw6d7Wc7OlmPtwHYWvp9JzoR+M8B+JgtL9gM4BnSScX+LTqp4oZFosmANOyVKF61B1T1fhF5NoDf104tsWEPRLMRNeytWAfgvdLVgfs+gFeucH8aKmiMqKGhYcXRbEQNDQ0rjvYiamhoWHG0F1FDQ8OKo72IGhoaVhztRdTQ0LDi+P99zGTYkp+9ZAAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"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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\n",
"text/plain": [
"
"
]
},
"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": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"