howto_advanced_python_fitting.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# How to do advanced model manipulation and fitting in Python?"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"<div align=\"right\"><a href=\"../../../_downloads/howto_advanced_python_fitting.ipynb\" download=\"howto_advanced_python_fitting.ipynb\"><img src=\"../../../_static/download-notebook.jpg\" alt=\"Download Notebook\" height=\"40\"></a></div>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this tutorial you will learn to perform some more advanced model manipulation and fitting from Python. You can use these methods in an interactive Python session to explore your dataset and improve the known model of the sky. You can also use them in a Python pipeline to test multiple model hypotheses and select the one that is most appropriate.\n",
"\n",
"As usual start by importing the gammalib, ctools, and cscripts Python modules."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import gammalib\n",
"import ctools\n",
"import cscripts"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now import the matplotlib package for plotting."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulated dataset\n",
"\n",
"For the tutorial you will simulate a small dataset. Start by defining the Instrument Response Function and energy range that will be used all along."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"caldb = 'prod2'\n",
"irf = 'South_0.5h'\n",
"emin = 0.1 # TeV\n",
"emax = 160.0 # TeV"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now proceed to simulate the dataset. It consists of an hour of observations of the Crab nebula region, as usual pointed at a slightly offset position from the target. The input model is different from the one you have been using so far and contains some surprises. Don't look at it until you have completed the exercises at the end of the tutorial."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"evfile = 'events.fits'\n",
"obssim = ctools.ctobssim()\n",
"obssim['ra'] = 83.63\n",
"obssim['dec'] = 22.51\n",
"obssim['rad'] = 5.0\n",
"obssim['tmin'] = 0\n",
"obssim['tmax'] = 3600\n",
"obssim['emin'] = emin\n",
"obssim['emax'] = emax\n",
"obssim['caldb'] = caldb\n",
"obssim['irf'] = irf\n",
"obssim['inmodel'] = '$CTOOLS/share/models/crab_beyond.xml'\n",
"obssim['outevents'] = evfile\n",
"obssim.execute()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You have saved the events on disk in the file `events.fits`. In this way you can easily re-use the code below by substituting `events.fits` with your own event list or observation definition XML file.\n",
"\n",
"Let's first peek at the simulated dataset by displaying a skymap."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"skymap = ctools.ctskymap()\n",
"skymap['inobs'] = evfile\n",
"skymap['emin'] = emin\n",
"skymap['emax'] = emax\n",
"skymap['nxpix'] = 40\n",
"skymap['nypix'] = 40\n",
"skymap['binsz'] = 0.02\n",
"skymap['proj'] = 'TAN'\n",
"skymap['coordsys'] = 'CEL'\n",
"skymap['xref'] = 83.63\n",
"skymap['yref'] = 22.01\n",
"skymap['bkgsubtract'] = 'IRF'\n",
"skymap['caldb'] = caldb\n",
"skymap['irf'] = irf\n",
"skymap.run()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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Sf+xhN4NULwWOqmTrdyrQFGOwYXA68+oGJ06ZgD3amNxq96S4PqmxsZGF3UfinhzdCbQL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9+lqkVEfgD47jrnUbvZ/hdYSe4/B/62iPxVVf2HZ1/JL4BrRZ4WwtuZ8K2Z8IVMeDuTX0TKdYIX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\n7P8Hr7LzrXiY/P8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1094ba2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Slightly smooth the map for display to suppress statistical fluctuations\n",
"skymap.skymap().smooth('GAUSSIAN',0.02)\n",
"\n",
"from matplotlib.colors import SymLogNorm\n",
"# The SymLogNorm scale is a Log scale for both positive and negative values\n",
"# and is linear within a certain range around 0\n",
"\n",
"ax = plt.subplot()\n",
"plt.imshow(skymap.skymap().array(),origin='lower',\n",
" extent=[83.63+0.02*20,83.63-0.02*20,22.01-0.02*20,22.01+0.02*20],\n",
" # boundaries of the coord grid\n",
" norm=SymLogNorm(1)) # the scale will be linear within +-1 count \n",
"ax.set_xlabel('R.A. (deg)')\n",
"ax.set_ylabel('Dec (deg)')\n",
"cbar = plt.colorbar()\n",
"cbar.set_label('Counts')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model fitting and residual inspection\n",
"\n",
"First, fit the usual Crab model to the data using a 3D unbinned analysis."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"like = ctools.ctlike()\n",
"like['inobs'] = evfile\n",
"like['caldb'] = caldb\n",
"like['irf'] = irf\n",
"like['inmodel'] = '$CTOOLS/share/models/crab.xml'\n",
"like.run()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As usual it is wise to look at the output from the optimizer. Store the best-fit minus log-likelihood value for later usage."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== GOptimizerLM ===\n",
" Optimized function value ..: 310147.111\n",
" Absolute precision ........: 0.005\n",
" Acceptable value decrease .: 2\n",
" Optimization status .......: converged\n",
" Number of parameters ......: 10\n",
" Number of free parameters .: 4\n",
" Number of iterations ......: 10\n",
" Lambda ....................: 1e-09\n"
]
}
],
"source": [
"print(like.opt())\n",
"like1 = like.opt().value()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The fit has properly converged after 10 iterations. Let's take a look at the best-fit model."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== GModels ===\n",
" Number of models ..........: 2\n",
" Number of parameters ......: 10\n",
"=== GModelSky ===\n",
" Name ......................: Crab\n",
" Instruments ...............: all\n",
" Instrument scale factors ..: unity\n",
" Observation identifiers ...: all\n",
" Model type ................: PointSource\n",
" Model components ..........: \"PointSource\" * \"PowerLaw\" * \"Constant\"\n",
" Number of parameters ......: 6\n",
" Number of spatial par's ...: 2\n",
" RA .......................: 83.6331 [-360,360] deg (fixed,scale=1)\n",
" DEC ......................: 22.0145 [-90,90] deg (fixed,scale=1)\n",
" Number of spectral par's ..: 3\n",
" Prefactor ................: 3.53407186483961e-16 +/- 6.13239441118136e-18 [1e-23,1e-13] ph/cm2/s/MeV (free,scale=1e-16,gradient)\n",
" Index ....................: -2.28003948199933 +/- 0.0145823226642829 [-0,-5] (free,scale=-1,gradient)\n",
" PivotEnergy ..............: 300000 [10000,1000000000] MeV (fixed,scale=1000000,gradient)\n",
" Number of temporal par's ..: 1\n",
" Normalization ............: 1 (relative value) (fixed,scale=1,gradient)\n",
"=== GCTAModelIrfBackground ===\n",
" Name ......................: CTABackgroundModel\n",
" Instruments ...............: CTA\n",
" Instrument scale factors ..: unity\n",
" Observation identifiers ...: all\n",
" Model type ................: \"PowerLaw\" * \"Constant\"\n",
" Number of parameters ......: 4\n",
" Number of spectral par's ..: 3\n",
" Prefactor ................: 1.00695509680699 +/- 0.00831375832092874 [0.001,1000] ph/cm2/s/MeV (free,scale=1,gradient)\n",
" Index ....................: 0.00506439697906541 +/- 0.00509750451889986 [-5,5] (free,scale=1,gradient)\n",
" PivotEnergy ..............: 1000000 [10000,1000000000] MeV (fixed,scale=1000000,gradient)\n",
" Number of temporal par's ..: 1\n",
" Normalization ............: 1 (relative value) (fixed,scale=1,gradient)\n"
]
}
],
"source": [
"print(like.obs().models())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The background model reproduces well the data, since its best-fit normalization is 1 and the index/tilt is 0. The Crab nebula has a best-fit spectral index of 2.28.\n",
"\n",
"To assess whether the model reproduces well the data spatially generate a residual map."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"resmap = cscripts.csresmap(like.obs())\n",
"resmap['algorithm'] = 'SIGNIFICANCE'\n",
"resmap['emin'] = emin\n",
"resmap['emax'] = emax\n",
"resmap['nxpix'] = 40\n",
"resmap['nypix'] = 40\n",
"resmap['binsz'] = 0.02\n",
"resmap['proj'] = 'TAN'\n",
"resmap['coordsys'] = 'CEL'\n",
"resmap['xref'] = 83.63\n",
"resmap['yref'] = 22.01\n",
"resmap.run()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To easily inspecting the residual maps along the tutorial, define a function to plot them, and apply it to the latest run."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def plot_residuals(resid):\n",
" # Slightly smooth the map for display to suppress statistical fluctuations\n",
" resid.smooth('GAUSSIAN',0.04)\n",
" # Plotting\n",
" fig = plt.figure()\n",
" ax = plt.subplot()\n",
" plt.imshow(resid.array(),origin='lower',\n",
" cmap='bwr',vmin=-3,vmax=3,\n",
" extent=[83.63+0.02*20,83.63-0.02*20,22.01-0.02*20,22.01+0.02*20])\n",
" # Boundaries of the coord grid\n",
" ax.set_xlabel('R.A. (deg)')\n",
" ax.set_ylabel('Dec (deg)')\n",
" cbar = plt.colorbar()\n",
" cbar.set_label('Significance ($\\sigma$)')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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dAKBvRWOFv/uC+oh4HwWnWVHKwFcBuOPwgg0zgPE5Y05ciaOtMQPimH98du2U\n1OR31H7X8RHjGpklsnXX2YMg6ufhZHjJA3jeCNoimIq62HB9zz6iGg5uyUY2D6CVkfbOYeuK+G4g\n8eA86IcMG8zMm4Tzu70AVo+OqO6ZyAUQnw9htpedR36vo4I+LHTqAzRqLlluiqgA3NmSwFzTfLdc\n9EEphY9TzxoDHpRi3YE5oArVkpYeN0lgUNGwO62xInu8mb3c9Ysg7t34kGU2OWFSTEVseUig+by2\nwSBi6pltl8Pzd5pZAaK9n+3B/D2nLzNBeVzNfoy+9KT4HtrWEs+7HKxEzNwsQ0sBtFiY2jfpVGC2\nrnTrLZWK+/ydzvMlAnDWqLXFpOqqfkUrx69xNxe5pEE+uIniAojPh8TlKV2ywskVd2T7jc+rog3S\nOIwaoNTv1Flwv4eXEGyzoAaFO9M5Y6Ld199olFLFcWaUsUsXTqOzvYxJLUww2SCc50sA46wxnAQo\nItaA1QAigdwmjeUIhOPznFf+XudmhRyIOW0jIG5gDAAFkCJ96nHtxcztrLKk2TuAWNRBWFB86jKW\n5dL3lWsgHMpNTGeU/r66J8RWrDxN0suqT5P2ssTJ2BXHieQCiM+HxIkE8TraC90muDA1JAVsVhC1\nr4nW9ytgJmyo6INl7dvGQGQIMh5XZMSZSaT+AlXtwA5ZhBsrkZ/X2G8GvGt5FIFy0fOo8Uz1wvd4\ncG8QdzTYTku9s3TEeJg1M0Nck5j+mD5OY+upoAKWAoJiO62UvmOF+F/ZLmm5ywj1KxA7CBcK0wFY\nxBiyavVdnwTbpPfETDjr7XiPyZZWFYB6Yo00YN62ZOXooHLCRX/Oi5yb1MddM2KFYmd9B2Hv6keA\nySojnBGLmyFoQZfGluuNNXCC5hkjbixDAWC+7GMGIgv2xpUGS2BnRuzhclijtI4wYgTcIzYfTQvt\nOUtus4G7jZxtu/t0eTPgj/mV6Z3JWn5w+H2ShzHHAhgrLtoAWOvv9nKmeSQusaVrpgmZmSW8GHUg\nRpseXnyDADEvGQ991JOIDbg4SfBdXyC4Smpqixk0CHzGcsGIz4cwEGfsxp3+XSKDyirvQhp6VhBu\nA3PAnD/4N75GLDPiCJgK7mDGLraLl1M3TfCAVzR1zNho0jvw/Ik2af+eFy2KejBARUBmEM68FaT9\nsft4IoafOZ4IomsgHYF0n55OfDb77OlpDboA06b2hQRQUTNXeNoabR0ASwbCYiCs1s6j0LKnItUz\nZ8aK1cy/EMndAAAgAElEQVQ8riuXhWCC8+gi6fByg7YvXciHdm3lc0QODianAGIR+TGYt9UfquqD\nk9/vBeCnADwQ5sX1far6EyeO8Azk3ADxgjXOynky+oxe+OZdckEpWjf65Irct0/v59iBA5wZTXWQ\nbgINSqksXKuiD2sEumWBl/Z7ZJ/xew4n5tE+zDOTERsdNQRamVcWDs+G492ys4ZxZKIYNbzxvca8\nzIBkDVzUey+YN6q+oav96mxTIDLwl/Npls09XgCUuBlGN01QeW3XJZwHeZXlk3iLQeXMNgrFjPsK\nPTfK+4PK6Rjx8wH8IGzJ3Uy+GcDvqeoX14libxGRn1LVwTzTay/nBoideUXTnFdIF194ZvKVwbyr\nT4DbQLxV5j5jzqtOL7TGXmiNLfhqtNvJpqlu6+DHllhidKsadaXZXCGSu6euMcbIFOOza7bqEaOO\nz0U7bdY9jvrF6bIcxqh3kjUwrWdPDDI+E9MwCj8D4sw26rq2hgOoy0YKpLo0dCvvXMSnRsLdzQgU\n+T5+b3RepKNEIrH0NImN0yj9WdycD6OychA5BRCr6m+KyMev3QLgw+v1hwP4k7sSCAPnCIgjMwN6\nwdtspLFiLcBmAqaN1ntkVqhbgXVQ5s/WC61VTOA0pq8b24busJ1Km6u/1WoLjV4CFYyzAbKYNgZj\noFc4T2cmIxAeARybEbhLvm/FXJvVG1nVyIwxYsQj98Noksp05fxgMMrGBvycsf0IxN7dNwiu9lpF\nBeFavtqfKpNUMO6zLoVadr7fAXj+Q/U6ESu7pZZNnjHJDROnPZ5HQLwmZwbGZ2sjfh6AXxCRdwC4\nJ4CvPMvITiLnBogjKM27p30yBlRnBakt4lIBGV5A3S5HZ9v0E7WyuTAIl2aS2Krg6iTYbv28BGIH\nY7fJuk5ZmeTGpcW8wnZHFW4EpmwHjSC8L5vOzCTxfFogjh4SrhO77Y4aMr535La4BvzcILpJqa1P\nUeFXRHqT7HqQ6QJFIHWwja8bGEsHYAbilqQGwp08lNLZ9KgBzGRXo+XnUe/noDIA4svveAcuv/Od\npw398wG8TlUfKyKfBFta4cHJbs93mpw7II5sYFZJAer/dQDuBrHZJUD2YKBucaTEdNwcoT6xuWAS\nwaQFW6CunGarpl29Clzd5uAzTX2FL2a8kQk72xk1OiMQ5rxYY8McVxYmHxFUOaw1U0cE4OxzFn/M\nN76P85DTHyWyYd6pZBfwZ8Dsegl6Q17Er3UOwJ6PBLy+3GRrHKgMRiBepsVW9SuTWTrYpszpzfTN\nGnUkz0eJ7++gMnBfu/TAB+LSAx/YPt/8utedJPSvB/DPAEBV3yYi/wHApwD4nZMEdhZyboA4ggIQ\n2I8AbcDNt+txZBaxs9eCRi/Q/YNbKay/++iKVsd++FHtw2rTVK9OwJWrtnA9zwKLIOz6RvCJ6RpN\n1eUGh3+L4WYVLTK+0XMRiEd5vy8Y78uIPd3xYGYb0z1KK4Pw2hoiPJDqoJM1HOyZ4KaCPuGG9KHi\n1Y5o+inhvpn+VjAZ9Bsj1mW6+T1ljco+kvUsrjUjPoZ4tmbydtjqjbeKyMcA+OsA/v1pIzyknBsg\nHkkDB/RCDhgY14v2e/Ya2Y9SFhf2oZkmtHPoKBFYuCudbzQ6BpLIaP37JYgtvUX6AGQ/rCGQRZhr\nn0fmhrWz68npYB0yk8MaQ+Pns8Zi/n31hJG+JvKmAh4PwPJRGi21m3g9h3napTeQpQPsKM2x4fSy\nqOFYljyaPCJzL7lpchOax1fHROrNCtPNGrC5O1r2nlhGPYGDyunc114E4BKAjxSR/wTgWbDVHX0X\n5+8C8BMi8ob6yFNV9d2nU/iwcm6AeFRhZ4VHQDsIw0mGefvWUtt+baxXG/tVVKajWlFdbVcF3+6g\nlfylblz5XCf27xytdRDPWVoZwEZHCdcNgAOQr1W2WHljlz27L5NZT2UFiLO0soxsvXEwzntEvnB/\nEcUG7AVjkQhAO2x3UDO779xcFPOhNEBcNiB8zQw+hjXreKn5n0sIY/Zeg0nCS6npXsG9JqoRCjGX\nStY/u2b9Rg3vQeV0XhNfveP3d8LsxHdZOXdAnLFFZsUqSPgqGgh3IGYQ7mBskdgfEf++HvU6MsCM\n5bJucdfn0TPZs7vyJIKwd383ntgjU91dsUY2wIzlrg2gRT2y85yRLys5pzfW0wx0o4lhdkhfwN/W\nj54aEIPAFyJ1Eac5GBfIYn1g1jcObmbpZYljGapOFPJ8YFC0Ly1NKPS9kgOlWj9tMvZQQb3uFjP1\nODn++B2n8biN7bHlbL0m7vJyboB4JA0g5t82NuydQJrM1JnxAoRrTYFvNa4zlzVlRh2Eu6JRFqCx\n0t3OWGusFCMmLARaLY0EFnEBncwWyL9F2y6bSUZgFH/jHoKz4igZMLFtdicIlzkIb2Sys21ZamE6\nK64tta+uJmLeEFPQPQMu7pVwmrPr+fNezuZgDPopPi8AfMcQJQYhrcDrvPfXn24milE6oowGKg8q\nF0B8PiRW9FnBmWBLB6KzYlW3ofUtjOjUC9tiVpjXjF55jQ33n1inXex2H2bHZ2egXJF2gfEMhJ3m\nlfl9cXBqwcBCXJk/9Fq6o3tZDNt/y0wjHh936YH1RovZdgNi4d1UprqQf3+vAldKYFNwioGwGCDz\n1kGcH37NzJXfcXadpd/LYd/Us6nWbpiVG1DxbIXblBKd5srUgHwXFw5n1KjEd3JmIAxcAPGdrcCh\nhCs6nwEvnzor0BE0lQ6/MRbQHqa0Uyv7QZ8ItAym8fv4ux3avT1Kt+tyRch8ffvR/aI53Ur6ufsT\nAsDF+psxcAZk/px1w0fAlAH1CIiZBXO6d/kDz+6B5WtbN1qyF4fWVeiw5c8u05RJ1ojFvFyCWw+w\nsX2fQZTEKfXPrEiqGnXv9Lita+x2bk5LrsdY3zOVi9XXzoe4nTEOfM2ZKPXhHIxnYl9m3f61bmc2\nYOW6eJfbw4jPrgFyqZVRqi2zqLaGwu4T81tOBvlUdQaOXHG94RjZ/kaVL7K92HhwHu3qCWQgEO3S\nTJIY3NyXOsbv92Uufm0MQIznTghmm5pJUr/kmZK8tFMK8EnjynrHNKzdM/tOOmjWyXjWs5nfaWFR\n0W6tCbfEyfKr0R2P9cj04wbz4HLBiM9OROQBsIU47gtbV/tHVPUHReQ5AL4IwAcAvA3A16vqn+94\n9kdV9bmjuLxBzeysC726QWLxi0sGSBFIY7eOf+fKmnX95mldAWHxqSLagFikoIgNwBjjkcUCMADa\nSoxZtPzdiKWtsSHWdc23OV5znBw3m1syhssAzICWAXEG6lAD1CJm8y1Sqouaga/3EGSyvOxATNsB\nBEDyRn/U6GQ9iQyER429CupsPdRGwnowZsb2JpnfqCvIv1QQpjQw8GY2fn4/2Ttd6w2cWC6A+Ezl\nKoBvVdXXi8g9AdwuIq8A8HIAT1fVSURuAfDt9dj17MtV9c1ZRA7EO7ur/FDGRLCbqY0KYiy8zCC4\nK8j3euXL7MJ9vp6i6IQiNvatolApKHXVLs0UUjQ3paaX9iRzXc2AYdQIxfsj8GSAPJIsnyOzdqBj\nIHNQ9vCjWSN7Z+5d6MvxWP6WarIQKzOTgbI3bpZly2abdePP/O5Yn1GPKerMaV/kYdVvql4v3SxB\nL5dFSH/xHT/syPI9G5jN3vOZgfEFEJ+dqOq7ALyrXr9PRN4E4P6q+kq67TYAT9j3WQCrQAwMQHiX\nrshZ4qgSxYKYfXYGxwNtGchl7K4I2ly9ohMKtijqxtG6bGLdsgfkeZA1JPHYl72NwIN1HknaNgzC\nz4CAG1T2rIgNWtTFw/O8b/GJ3WhQVBeBgvUoihrzLMXc+izsDmSsf2xgWdf4G7N3noUXG67YKMee\nV5HaqLpNX2Av2hc9UQ3MmBTTuf6jfOf8Z/2A3CPlAogPK9fMRiwinwDg0wG8Jvz0JAAvPuGzTSI7\n4Wtnf50Feq22LyLWZAV2FyDFbmWrRME0EQe34oAb+70aSLRVLFB0C586q37DRps70hR0tThsFwaO\nu8dlgJQxyqyxiOmO+Z39zuH69Vo+R++KONmDzRMjhgnM2XUpHY/a+g4VuoraSuEbxyydjY8NJQNf\n9nBxHbLpxDFvMv37ffae2/LG1UbsOjajA78DkYbVM2aM/P3G6eXZO1+Uz0Pj5gUQn71U08JLADyF\nVzwSkWcCuKKqLzrus1FuueVZ7frGR13CjTdeqgVpvpB7g11mgvU8AcNda/3eKNk9o8IMdGBme2ip\nU27nxzTTue+VJ1V97YzIgZzrY2V1HYznla03EPl011F6R6aH4zKkUdijg4UZchZu/qwDkv3RGt+k\ngO9QsanPlwUYzsPPehgxDVl6oo6xcVrmoW/wKbNyU0SbX7M3KlJ96+bJrexDfG0KaRN6uAxEUrAm\nt956Ga9+9eULRnxgER1RvUNFIHIE4KUAfllVf4C+fyKAbwLwWFX9wHGeTe7T9/+XZhHNOpVW8KDg\nhX8UgmmSuoOGLV05NVvaGJSyCrQLkEbdclWrWMaC6Vz3xiu6nZ0NpTdt1RotBSibGSPuh4TPy8Vy\nmN3EbYtGO2aspXNkkoi9AfY/5nMpZmbyRXmOjpaAkYFwBob7NBJr4J+Fkb3H6LPszJgX/4++1qN8\nG4F4dG0UWOPtXNf9w9vAozjYWxnYTrByXssF7xPoB+vH+Tvzx97My8xHfqRAsy1YjiEionrLLfvd\n+/Snnzq+u6JcC0b84wDeGED4cQCeCuDGEQiPnh1JIRrTV0zrXTdnAV06Q2oAplZgTcdlpYhgvMZy\nelrn5/ibAbGDsE82qB4Ts52i56p3ZieN4aXuEaTfmunB78nOmd5r8cR0R9NEjJe782tMeA38M1NJ\nlvdZGrN0xok0u0wtInNzyEhGjTuXsSydcUKLezk7C55cZ5jJqaW7HqVIKx9r+cgsP8ubUUN4avkr\nzojP2n3tkQC+BsAdIvI6WFF4JoDnwlZHekW1ed6mqk8WkfvB3NQeP3j2Gar6siyu4pXObWZau+61\n1LhDu+lldwLE0LTvKszAEP1k17ruS/te3nX1czMTOBDz4Q0IWl3yEIjz16S6bolOrBebRGLXeFdX\nMwPILC+yrnymR9abWAO/CHAj5piBb6Yv65E1TKwLs9wMhFmPtfzfJx9GDBwIboLtrza79wbddlw2\njrt9Fl3ZQ8dRQxl/23cpzb3lAojPTlT1Vlj5iPKgwf3vhO3GuvZsKpvCtYPA2PZQhnGIBsXGKtWX\nr6wmitplYxAGcnbWolr5LgMDllZBwDbiORB719Ntvs227Ux4AAyszxrgrIFE1DNjqiN2OAL3rKKz\n6SEC31pPIuu6x/qc6RobBweWaL7h7njs8WQ9n2i7XmOOHifnWXR1jNdZvD4K2cASsGKiXuo7M5ZR\nGJinb23d4jNhw8CpgHiPXZy/GsDTYFnyPgD/UFXvOHGEZyDnZmZd8fWFCcBsRoNvau/CNXNeCd1W\nlrHYOMgWK6Z/tyYjM0Wp+hsg+/KM3oB4jXSVe42zvfJqg7Kj8h8HjHelIWNVGRivxc3hxfMIgP33\nDIT3davK9OZ377bSzaafVbs/cwyDGfQUelNr7yF6z7CrI5c/Lmf9WmbhtfxzwNV+tIFccN7MFeP0\neflmF8C1Xs7B5HSM+PlY38X538PMoO+pZtEfBfDw00R4aDk3QJwuJ9VKUGXAlf2C9pXbbmWxsSfb\n++JAkUvWhcxsmqPu8uwezI/FDSS8UelU25oJcx2zWVNRpxbeAJCj3vFz1pXNAGRkaxwJA8+oGz3q\nacT4+Xs/Z+6DWcMUDwakUQM2hTK0Fk92rOV3PI9APuqZmW5EBD5IL8jt80XMXBe/k5WeyqnkFEC8\naxdnVb2NPt4Gm49wl5LzA8Tbbb+ONbWyCAOvun5ANUcYCAumZHv7yFJi8LELCcw/x4oVVWu/6RyE\nBUDzr4o1lEB4UpspNgLieM1d+AhgfB7pP6qAWU8hgmnWmI1kBMIZAGc6ZaAKjMFwFxiP7OrxPi8v\nvopddm98hr/P0jVK5+h51d6ri+txxHfvLHnjg3yitnaJwNa1oHfJU+9lj57HseXaLfrz9wH88rWK\nbF85P0C8Yx1GnRy86tlBeOs7LMsMiDOXKZaMEWffjyrS7HsHYrUjjciF7doOyBgzvTXd+LcR619j\n9SNWF9uOUdhroDz6bVcPI4LSLlaafcfPx2KVASCD3lqjFdM8uh6Fww1cJiN9eHai+63PCUNdEnby\na+nlksOoIHy9zqwTkcfANhL97DOP7JhyfoDYGXHqB1XXZFBjjw66EYDdx9KZDbNhBhcPniUrmGug\nHM+LyRixxtWbFaWD8GQblE4JoIxGtWPlzio1V77smREDzcA4Y20czy5QCclP0zFii6OeQcynOAMu\nY8aZj20sF7F87ALmXTIKY02n2bRunQ82LvJSUAeF7doXpW9grIBtiKoNgBmQDyoDIL78lrfg8lve\ncurgReTBAH4EwONU9U9PHeCB5fwAMZfKbCEAZ44Ksw1Xu/B2C0zVbW07Aao6m8nE7MKDO07F2och\nS68LJhoe5sAmY8N+TE3vHGz2AYO1LvKuNEdQy0B4V/7E+zIQH/kZj9ITAXhfs8Qa243hj/KO833N\nC2TUeO86XHg9DWCZViYSvASAzc7rTNjPqHWjfad9Cnybdn+NGfGlT/1UXPrUT22fb37pS0chCLAc\nYgEAEXkggJ8B8HWq+rZT6XlGcn6AeK1mzESW1wOwbHedoNAd/5nqoF8XPDD1Wb863dUBuDJh95jI\n2N8uiSx/DYizZ7Ku9T4gnP02MltkoDzSgX/fhw2PigyHyfbhLK2jM/coXCI/iPkX9WIZNTzxPcV8\nyhoeEbROl3lV+BRpoEzanPKbyayBsJKL5VLHU8np3Nd27eL8HQDuA+BfiU1cuKKqDz21zgeU8wPE\nTJlcWunbAiptA8hNAYA+FdQHV/zs02sjkzlO9zIDCFZvFpb6UWuI9tFBB2QPzgcZHZBdGJhGJoEI\nvDG7omTs1xlVTN8onBFYr0kWNrPiGOcI1LJBuCzcGPdp9PRzdkT9Rzp7WfSweNA4SwNfZ+CflV0F\navnR4Mwm5OqmaAtDtfVOYAxgbRrnSeR0XhO7dnH+RgDfeOIIroGcTyBmVKol23blLXXnWwFCJeEK\nsOlLOaQgvA8YZwDEz86B2AGYDl+wBwwO0ljwpJhZMHYx0H3Y7siMwmnIgG1RyROGGAGOG4V4zvJu\nDYTWzCVr74FNCDH/Mm/ILO5d11n5yXTKBvs43exfPCpPHk6sCtGU0NIEY8N9QyjMOmECQKUvOGW7\nW/t+JXcdID4Pcv6AmIVqkfHhCaXuNSOwLYYiG/aCG481cBrJGiudsVP/3Sdm1DnLDsQTbXPT1pcA\n2ioUDCZrbJhlBIJZQ5Ext/j9LlNBdkS9R/k2yucRiI6AP3t+zTwQWfVaPsWGenTENHK8EYx36Rt7\nBHEiCefxPO66UkULzzYbaOH6H0E1T/jszqkeZwDEF3vWnRPJpjPNahBQpFgLL0IjxLvBeFQx1iQD\nA5cFg3JwbYBslUUVfdJGPXstEacsFM4IlKI+GdhytzZW8CxNo/SM7mVQY7trlrdreRfjzH7LAHif\nHgE/HyfFZDrzEWfEje4b5WecSBTTmr2/LA2sR8ayW2MNoA1JoIKz1C/F16ywa/HCpxNkYjA+oFww\n4nMiET1CbZRiv4kotG7LUCALEPbzrtW31mTEAKOqrG5/VnoYE2ZLWzoQN70wBmCWzFa6xuL4c0zz\nrjSNgJFn+fmZ85br4VreeVwZYEVdR/pEien0Iy5j6fdGveMaE7sY8RoYR304vCyO7PeMwc/zR+tv\nNsNOgNnC+VKXjbXPQF88qxbC6O93CLnOgVhEPgzAX6rqdufNiZw7IE6BQARAmc9cA6yFr59Lu7AC\n2ipPu3++nsMoLv9+dORsbKl7CkQJCxuxszjdNtadXUyQgSFzi8ryYS3dHAdL1HsUTlwPl/ey42di\n/vF1BEJ/fs38wNdR36yximFlDcnIpS7K6N1mPYgs3/y7mG7V7ivPvcPS3Nl6ubdn66dRwg8h1xkQ\ni0gB8FWwFSIfAtsI+e4i8kcAfgm2UfJb9w3v3AEx6ppTtc0HfFR4RklQ1yxu2Dsra7Pr4Jq4xtSy\ne2Jl29UtzsLhe5mFxeUZGYQZjHn2dwbGXFE9nF3rJfj98bwLnKPE9GThOBDHw/WM+h0n/jXWneFO\n7ClFJh8bL55MEXWK089Zhwi+MY84vJhnWRqjpGYLcf9im8SBwvVIIFmreSi5zoAYwK8BeCVs0+P/\nR9X2TBeR+wB4DIBbRORnVfWn9gnsHAIxWuFRNBi2lh9A283LAa4+Uy0XmEoNwRG5LmG1D9sD5pUt\nYz4R/BL1V5M4qpwMnLxS3DZ0lGJlz37LZpmN0h3PWTzxMzcunB6fdJDFE3ftYCBmth/XhWDQy2Sf\nhtX148YumiViWBz/ZjOOL8u/jAFnjdVI/1G4rENsYBoYV59hFEHR7tpm6SkQZy6jzDqpXH9A/Lmq\neiV+qarvhk0e+RkRuWHfwM4PELu4iaIdS4SzAWLti+sA8PVahb4yrzIC+BV2yPcA4+58UHN2vYst\nr1XOrJse44yMnONZA9x9wGMfgM/u2wdkgA7AfjgQ+9KV/FxsfDK/5wzIol7R1JPlfcw/jmszWE07\nizPTIWPfvjznKJ92NZL8XSx3DQsLjItoNVtUvwmp9UFQYPNUDyjXGRA7CIvIN9VJI8N79pHzA8Rk\ndpiDcTdZzPwftf/awLfeOs1MG5jtfJGBa1bQ4+DUCIjXzpldMgNh3uWYdWBAcqa8tgbFfM2NZVd/\nVMEzEJ5ZggZgl6Ut5uMIiG+4YRwPNwRrjVK8J8uT7L0wCLMJiN/1LpYd05dNVlljxNwDysLb513F\n96FUPQSwFdjqp96jLIBMRp0PKdev+9oX1dl8dwNwu6r+fycJ5LpNfZTmWyuA1qUuIX0L8dJvtLt5\nmbNW4Oy6qLf386nGWeUdsY3MLJHqHZgJf84YrN+XHSNdhrOrVnR3j4F9GVbUbU0iCO9i9sB8kM4P\nvieaaEas/DjpGaVtLf/5nbOJaNeEjOiJMYojpmmtHEbZpxzaYj/z2XZOSsROUC1YLhN4SrnOGDHJ\nxwH4aAD/BcCT6xTqZ+oxd2U+N0A8tWST/612NttnA3sXy/pfETPc0V1QpxDbzfYbVaLIxFy4sEfb\nYgTdXayYJYabPR9fPVfSEWDzfZHNZYNfWTwjybq/fOZp5H7NgOb3xbjZ9h2Z+y59InvN0hPBLWPa\nGTCyG5sDMTN5T2MUkf57vJffbUxzPNbMTrEBzsqYvQvNy5eiLr9avzswDl/HQPwWAC9S1aswu/BH\nAPhyAP/HcQI5681DHwDbvuS+ALYwl44fFJHnAPgimMvH2wB8var+efL86l5ULM3/Fl4RwhThNnez\nslyR4D9pTzdjhfXDzIWyMmYGtAiuIyDYx+QwujdjPNnsqxEDXWOrEWQiAI+61xmbG32OwnXNG6kI\nxqN0+/fsEeL5sdZIsbAXiZ+z9zbqKcSeS8yLaGJh9u4AG6cf+3XmFRKBOHtHmVfOqJHOyhpf++ai\nfhb/TQH4olSode0CiF2+A8APi8gLAbwBwIfhGHttupw1I74K4FtV9fUick8At4vIKwC8HMDTVXUS\nkVtgLiDfnjz/fKzvRdWkMWJquedADLRVzPwhAuGKzTUMoS/RN2IMjDiCcKwQLZoEfNdYcNbNBeYg\ntA8IZl3RERDvYsT8TEz/Lj2yhif6BGfua5mrXfx+jQ1nXXkH4KtXx0Acn3Fhe+0uEAaWIHzDDeu+\n3zEvWH9+59k7Wut9cFp2lcu4HZJ4nTH2QuVlR6t7XLlOgVhV/52IfAvMn/gJAP5fAP/quOGc9S7O\n7wLwrnr9PhF5E4D7q+or6bbbYAnInl/di2p+b+W0DL4ENhPQpnRoJb2AkCnCUdcDrAMUCfBGEFqr\nzFmli0f2jHdFRwC0C8hbXiSAEc0Na2xrV/o43H3uGQGPgxbrkA0uZiaTCEYjsIlAfPXq7ncXr0W6\nbqM0MiPmAUb29sg8Ivj5rFcU2W88ok/5qHHOGsYWr+tDrFjpmAiMDyqnAOK6Iej3w4aCfkxVvze5\n5ytgy2NOAP5vVf3aE0do4YnbgVX1LwH82No9u+Sa2YhF5BMAfDqA14SfngTgxacNf6KK6WetpUd9\nYocXbqbCfmqFlhEW8+uWljEIR0DIKto+QJw5+zMYj4A4Y+rx96j/mkliX6DKPsffGICj10f0CPAz\ngzH3DDL9d+kSgfjKlbx3wfrytYNdFiczfc9/bmCYEWdHBo6jBnL0fkbMOMuHNWJQwmeLowOwr4V9\nUDkhENcZbs8D8DkA3gHgtSLy86r6ZrrnkwE8DcBnqeqfi8hHHUDjXxORnwHw86r6nyiuu8G2Ynoi\nbNLHT+wT2DUB4mqWeAmAp6jq++j7Z8IWaX7RaeP4ru+6uV0/6lGX8KhHXQLQ2bEXJAC+9nr9IzC7\ncfOWXKx45oUvMpNsMMsKv7Zp06XO2/cFtWfTp7nS9YcBAKXIDCRG7GztHGUfds6gHyt2jGPUqGQA\nnTVGsfu9aESxPPt1bAizBmNNv10N4dr1SRsqLiP75Bs/Fxvi7B1lwLxWNmL8pTAT9oxFn+Yvgl//\njct41asu+zeHk5O7rz0UwFtV9e0AICIvBvAlAN5M93wjgH/p41Cq+sen0NTlcTAS+W9E5K8B+DMA\n94Cx8pcD+Beq+vp9A5NjelkcW0TkCMBLAfyyqv4Aff9EAN8E4LGq+oGV5z8ewC+uDdaJiP7FX1g6\nRl05ZmMNBIjmds9hpe6XEADL0Da3BBC1XQwKsJF6LeYyx0Bs06gFjZLXGqFiHhtux/RuNC9cn7ly\nWV7062hmWDvYburxXb3aw9wFvBmocQXP8j9bP2L0/mLaMgB38UkefkxTZ8B8fPCDeY+Gw+cze0Ew\n0zKgN7AAACAASURBVJ2/+17ebrhheTD7j4w4xjl6f5lZAsht7rsax9n7a6TByqpvp9TrQd+A102B\nH/ZhAj2lwVhEVG+7bfeNAOThD5/FJyJPAPD5qvpN9fPXAnioqv5PdM/PAvh3AB4JA8qbVfVXTqNz\n0P8GAB8F4C9U9c9OEsbOZqhS/78J4GMB/AWA31PVPzxGHD8O4I0BhB8H4KkAblwDYb8dezS/o4qZ\nA2U9N2aMZr5A6IJloDCaLed6dDY8ocB2N9hgmiXEF+IWAFBpCxOhAvUEqiBJpRlVYtYjmknWDg8r\nzkqbpSthtfxbfA/87MgGyu+FZ8hlQMMguQ9/GKWRATVjkfx8Fh7L2vP8ezapJ4adxbHGvEdEIDLl\ntUYznkv1sZeWGAuolVcRlD3z/1hychtxhg1RuyMAnwzgRgAPBPAbIvI3Mk+tk0idQffO04QxBGIR\n+SSYXeVzAbwVwB8B+BAAf11E3g/gfwPwAl/sYhDGI2GjiXeIyOtgGfRMAM+FzUR5hfk/4zZVfbKI\n3A/Aj6rq4+vzi72oVPX5eVzz6xH4LrqySm+t7Rcnbf1fBuSRR0FWyIuzYpmwwVRBueZAK9Z2DbFp\no1qHFG3McGnCyOJxgMnyAZjbLDMwj3nI93n6RrO79gHgGF+WHs9P/rwLgNbiimDKuvsU4RHQ72tq\niKaCTCIIx5mOI8D0IwPWLF9GQOzfxbKSvbP2nTrzUQgmYKogLHZTgRXhQztNjID48u/8Di7ffvva\nk38AA1eXB8BsxfGeV1es+o8i8hYADwKwGvC1lKFpQkT+DYAfAvAbceRPRD4awFcD+FNVfcGZa7lD\nRESvXDEVo58oO7svWaT2Au2AzEx4YhDON+mMBdzsbA7AW2xQz1InTtcCbQXfHxZo3a/cz5OW1FQg\nki+Ak4nrGPMjS8c09e46d9+BuV9r9G9dA2KXkWmiv79+jg3lLnD05ziM2I33tEczz9WrS5trjJvz\nMpYhbpSyNMcJGu5HnJkn9gHikWnM05CZetYGRWP+e6GXyoTFmYgYLEOK9dykF4CjowOZJn73d/e7\n9zM/M5omNrBJFZ8DY6W/DeDvquqb6J7Pr9/9vTpQdzuAT1fVPz2N3oeUISNW1b+78tt/hrmL3GXE\npyxXnGtihVUWBds+y6LC7zJFxN+8cvo1QIwYakxYJhRsUXxwUF1TO9uU0aqgp8PXhkVeSecMc1wP\nRqyaR/9negfXqfibV2j/juNZ0yEzafA7AnJXtXgdQXlXvNxrcT144kj0ghgBcqZzZPKZLn5P5ooX\ndR31FnYx4Ppp2JDEMrMpSOdjiMBsYjM24uVRgDrGAdFqSjugnNA0oarb6sf7cqC5r71JRG4G8FpV\nfamq/oqI/Pci8nuwuQ3fdigQrlOavwbAJ6rqs0XkgQDuq6q/faxwdg3WiciXJl+/B8AdFZDvdBER\nvXrVSnmcPWXHuJu/L/gyc+TvRZaDZ6UojrDFRrbYYIujyo4Lr1hF+a6lAGUzO6sUbLeC7QRst4Kr\n9ZorU2kMR2o+zPOFdY4skVXw+5gR+xlYMuJscHAErv5blvdRGDiy3zKQjGzYwTe+K2bFWQ9hnwPI\n2f2okeQeC/diRqw6piWme103nb8jKh8bUZRCg8cOxGJGiNbaq0dIXUH1bl9PrJYCJxIHY8RveMN+\n9z74waeO75AiIj8Ea74eq6qfWqc4v1xVH3KccPbxGfkGAJ8F84kDzGZ7O4C/JiLPVtUXHifCs5Lu\n9WD211HXl89rALt25usYTwMDoHbnpBNgRV6LSgGKQkqBbhSiG2MfalueqgiONgVS+lbnUnoaom+x\nX2fd+hEQjoAOWHZrjwvE8d7eI1k+0zoGK+FmDJHv2+XdsiZrDbP/Xsr8OvYkYo8lMw3sY94Y6ZuZ\ncgDkQCzae2fTZD2uSRNwbYUWcwOwg64ds70VDynX7+prD1PVz6xjYFDVP62+xMeSfVJ/BOBT3VNC\nRD4GNuX4YQB+HcBdAohdvEtfID7utep8vsYaMzYcAdm7tj1+85iY6tmbB7g9mAN0SrbZAEWBzcZW\nvtoopGzqTECrqWWwTBEDzKiCsm58nfUM4jUwtmdyOFGnfa4zII7p8IOZPN87MhusTYSIcWWNT/Zs\n/M0BdGTmYRBmMM6+H4Fu1pCy3vw5BWIAombvFdTNPzEZCBcFpBjDVcZXoZNdz9ZgOQs5udfEnS1X\nqp26djLkvwaOv1jzPkD8ccFd7T/X794tInsvfHzW0n2Cq3tNnSHn+3FlIBOZLpsz1tgwH7FbOU3A\nVKwhUEW3pXHXL/aTVa1SaAVjAKoVjB2/RVBK7loXmSRX0AgQrCuDatYN5/sj89sHiEd5ngEff86A\neA2UYxgjNrwvM45hsOsZA3DMI74egXAcsIzvIOZRjIPzKOaTg++GB1WhkGkyIJ62NgA3TbW8wZiw\nWHmbr87tDLjXq/nYxoHl+gXi5wL4WQAfLSLfDeDLAPwvxw1kHyC+LCIvBfB/1s9fVr/7MNhskruU\niE9RNkLcWnruXgJjtuvrD2Td27nduZNZr1Qz5lXjRAXjVq84Qh+6VwU29eZm1KiAvEGtZQrdGABP\nWwATsCX91oBxlj9Jl3lXHRgB4ii+CCixa7929usMjGMcsYHhhmiNDXO6ssYgvnd2PctAnePM8mlk\njuB3McqHfd4HMB83mAFxVUwwAToB2+oqYgULgHns+PorSmBr0SeF6SxY8XUKxKr6v4vI7TCvDQHw\nt9ljY1/ZB4i/GcCXwuZPC4AXAPiZ6tL2mONGeGais9PiQwYOGRCP2NMuFuXSgEGAvtmi/5CjimSR\nqgOyGqW3KR7Vp7MtUYTGYHr7k+sUwK3UmVN+AFaBpyLQsOFlCzcBYE6iV+R5XksLw8GYQXnNjDIC\n/1k+J5Ix312MePQKMpNGdg/bjVm/7JwBddZosXsl93DmxYqn0CMsYSm0bvBScWPBlQ1XAB42BGcB\nvizXKRADQF3X4s07b1yRnUCsqioivwPgPar6ShH5UAD3BPDe00R8aGkVxU0CmDPTjOVylzNK7LJn\nlccr4GhEXNohEK9t3E91paPzZ3TWZSVVIGqAXKqiUiRUdKuJAqtk9LDdA5jNWQGZ0He0VsFGbOBG\nN2jrbqzlj1DlpzYBvSeiqddKxlI5n2NcMc4RwMX7Rg3qCHhjWVmTDKBj2NGstZYWl7j11SLvvYFW\nO9skDBvclclZbl2rxNrz1oCL1IET8gXmZWNjHmXv4UzkOgViEXkBbA2dP6ufPwLA96nqk44Tzj5T\nnL8RtibEfQB8EoD7A/hhGBW/y8jkXFDR5sW3yjCoZNmIelbYvEJnIMzYOQfiCpBtgVdjtAu3A2AJ\nxNx3dcVaq1EqCBuczkl2BWShIb26mLJ65tRKW7RaBNUZNyBaUCDYFKvMpdgMQzbvAJa3vpNDEVfV\nJ4l75e7PcaPn62V40vhdZJIBLg9uZQDs72okIzAe9Yw4fg6DWWoMmz+P0h7Tk4HhLC9aoPbezNzg\nZ2tIoQVQgU7FlrCqDbcv64r6blEczqWTZdI56rFPvp5Krl+viQfz+hLVa+IzjhvIvqaJh6IuX6mq\nb60z6+5SwiDRCn/ChEcHy6hC+2cntm4jzmaedSwVczUrXkmSGjYaWvdI6RCpYCzFmCjcvid95h4q\nK2Z6KnTtVZAYFQAUVRi4F8hGMNXp3svGTBsAF1GIp9UUntkWHYgZhPyaTRXRRDFixrE7H+/N2DK/\nvzUQZtDcBYocZgw7hs9sOLo8sp6cB7EBqO2snes6lD7wJlVhbTszFkwzfx1uuO19OSN2MHYgzvKI\n68KZgfF1yogBFBH5CJ8gIiL3wQlWtdzngQ+o6gd99lZdTW2laN45wgvDOwiv2X1jBRyBsV/HQulg\nnJkmNm6SaCCM+gVytBkNpbMx1RUVAdwpv9YtlU1nta3GzoF3dqjSNNaeeJHS1XATRWCKnq+LtqPa\nKnnGlafUQYgXus8auFFXPf42Mk3Ee+flY36dAfJaTymWCQ5z37D9lbLZI+qblUMAfZgB1vsAvIe0\nhS+KYnHZymhqJLmZsNynXWovqrFhAuEp0Zvfz5nK9QvE3wfg1SLizgxfDuB7jhvIPkD8KhF5BoB7\niMjnAXgygF88bkRnLa3S6xyERwxnxIjXbI9ZGNE0MbcsSDfFFRhysr9SpHh89sgjEorAvBZ9V12p\n/qAtBQ2UG/A3xR2IJzvzykbobYXRXQWql8Z2AmRbw9vCSTNKURupr2c3i8Ddnmo6Ihtu72zAJlkY\nAA4BxhE0+ftdDfNIsnIUAdifZzME6zpK7yw9/p27y+gEG8Q1z5utv07Y7Lduk5b2rxdGOzojlkU6\nMkY86m2cWq5TIFbVn6xjaI+tX32pqr7xuOHsA8RPh82uuwPAPwDwSwD+9XEjOmvZbueMeASwI8mA\nYFfBM+Y49z7on+t6rqBlBdnmsa+EWiHtejJgb/36RLm1LkDWSm02wHZuIhEVlMqyigowCaDSJpg4\nr7I4exr7+hcCkWV6fV3mtWRHJpmpnYFuBihZ2Nm98f4R4Gegv+v7Zkv3zwyuiVQMbSA8b2xrgBsF\nUGdiSoGU0vK2A7jUh81VzWzKwgGCvWqyPIv5d3C5ToFYRO4O23noXjA8/TLbYk2ffZxw9vGamAD8\naD3uspItMegSCSZjVHcV6s9mXWM+z35rXfm67CXQzlbJBjU8CisW78/OrPyaZH1tHj1iVMtMJNW2\nWJwGo0BQUCYf7IPZmid09wl3GSl5pu0iU5zM2KWP3i4Z4GW9nYzl7mLhGfBmv2eTXPhezs5shuIs\nP2LZmyls+NndIov1XIB63gBi4wcNjN33pTHhyZpQcdtW48qrEuvHwcH4OgViAD8PW3vndtiu9CeS\ntfWI78CSZzXZtb39tZZdC5pzVzAWptFg0Sg8BmsHYWk7cfhnYjwcwD5Ug0t9RusyljsKaxcIx7VC\nwyFlAxGztxTZwBYl2lin1h9R2J9JukdIAaoP3FK1cQ7MkskqRc8LBmIGteiBMDIZjMDaZclk53ry\n5wiso+cbCHvZIHZMIaeXnHkKtIZO/FoVPoirsB5JK3uzCGzATrW+X2Wf9P3kghHP5AGq+rjTBrLG\niB9fz99cz76mxNdivS7dKeJAPOo+svjnDHuy+/g6MubezdS2GPymDZMMCvgIJTiSeH/2bEbnR3Ew\nIMe9hOK+8pzAzQayOQI2R0A5wmYzQWfmFkpkCRkzqLH7VPqYlNhmMIn36DI3sCy8fSRjslmSonkk\nlrtsFqObKHpDTVDYelB5LrWSJYCvDyxqkzNqF6SVvFKDcd7rSukMejsfznqDnM7s+mBy/bqv/ZaI\n/LeqesdpAllbj/jtACAin6eq7Bf3NBH5XZjt+C4jTAq5cY1MhQuRV9xdoJ0BcguDmHBnxWoVSmgB\n+H1kzZjpnx0N3HUh0vnM+BlnsvAq6bwuZBb/5ghywxHk6Abo0QTIEXydgpYyT54SKjr6GD8jK+Xx\nssGvGYSZEfs9/M5Py4Zd2JtwNBXZ485AeGSWkNKtOL1BYzAmndufzn7cM8UBWemGBri0gloD7jqI\n2j6H1SRH7yaa80b5dSo5BSOuW699P9DWI/7e8PvdYAuV/S0AfwzgK3nn5VPKZwP4eyLyH2CmCQGg\nx7UY7NMMiYh8tqr+Zv3wCAAnz7UzkjgtVIBmfxNBBw5hOi8LoM0kYwrLCsdmCaVI7bzTCpeV7JHr\nB9tbWLEMhDNAjtt+MCsOYcjRETDdYP6qbZR+wJ5LAGJvLGZJc1BQHtsjRtvZWQai2YxIb48422L7\nk7HkNYkgmrl2+3UE65FjTDtqNsxEEdiw0lVA5ppxDbqlNnExjYFce4jKP8e6keRR/P64ebmXnBCI\n656az4NNMHsHgNeKyM/Xaccu3wDg3ar6IBH5SgDPAfBVp9TY5QsOEci+6xH/uIjcG/bK3gPbRvou\nKR1865b2NGFBWyGcF1qlgsjCuMeYt7DpOfDW7mLb+IuUmlWaGWMEIvgtUIftuRzGSOl4HcNnkwSD\ncQLEC3cFfyZDGK5M/N0EyCREpK0B3JbOlIvYwvejrMh6L35fd9NagnW2ot5o5lzGYNktMWuwXbdo\nwsh6Yi3+2nBMAkyTYEtmHi+7XrSYErcp57E8J6+Z9Rt9n8k+PYkzkZMz4ocCeCv14F8M4EswX/vh\nSwA8q16/BAbcBxFVfXud1vwg2J6eLm8/Tjj7eE3cDuBvisi9AIiqvmffwEXkAbAuwX1hHqg/oqo/\nKCLPAfBFMCr/NgBfn+2ouqvLMb+3nlHZKRS8KLbvodwZl6QFa2Ru9d+yrqev7dBcJfYpUx6Q07mR\nCSED4hjGcYUBlcE4q3Ec93bbZ69kqMN2PkI1s9RIXeje8st8lgWT2FTq7aTVTS7PCgZh7hBE4Pbr\nzMtiF6Dw+83AeG1GXATf5nRCMgNjEUyiddcVg1gjttZaSZuQI0RatYGx+ka3zHCTNI1MMaw/X4/y\nNIZ5cDk5EN8fwO/T5z+AgXN6T91a6c9E5D6q+u6TRuoiIn8fwFNgm5a+HsDDAbwa3a94L1nzmvha\nAC/yXZojUNZdnu/nJouBXAXwrar6ehG5J4DbReQVsP2lnq6qk4jcAuDb68Hh79PloPv72bcE5+3s\nAcGkpRpwls7rmUQmwT3vHrEdczCm/l4LJFGWP48AOO7vs6ZwVrOy1iPaia9cyYHY6R4DN++CGY2o\nscUiFzhRoNTFiiY3CZViDlUKlI3MpqRHEwQz38iIY5Zk7DcD4ghKDPaLmYPJpqlr13xE/X3jgG0R\nyKTYetGpv9nuLAo34TgY2yf7bN4Tgkl9HeFcYueKe3lRR78/5uuIJR9UBkB8+fJlXL58ee3JLPFR\nu3iPJPecVJ4C4CGwnegfIyKfggPPrPtIAK+ra23eDuCPYNT7kwE8Gmb0Xh2wU9V3AXhXvX6fiLwJ\nwP1V9ZV0220AnpA8vk+Xo0lnxA7CtHknbB6+ObIbYMSNQzmctQKY9b7tgmtxZTO1zlgACRVhAI5m\nA7bdjrwbMnoTUSEaLEvJTRNXruRIJWL3xdXhsiMi2dWrxojRMsr+CaAoKDJhQqkL+QsmzE0KDBA8\nNrn2ntYY9dp75Sz06yyJEbwikGWAzK9L1RoeUUAmYFtv6AO8NNjr5YeMvQ1BPA3oDVhmrYoNmxch\nLhpcRGKdiHl0VuaJUWPy6EuPwaMvPaZ9vvnZz463/AGAB9LnB8CIG8vvA/g4AO+ou2nc64A7OP+l\nqv6l+W3L3VX1zSLy3xw3kDWviR8QkefBKPYjATwYwF8AeBOArzvuqKOIfAJsBsprwk9PAvDi5JF9\nuhxJPE5SeQdln4df2toKGsDYn80KYqz8kfh1MAbmo4MrpZZrjUfgtSUOou0YUFsoE4GXjyweZ8QZ\nbXQgjuHwrph+nVHKiqi1oLbfFYCKgbEtTK5t6UYHYV6MnR1EMqBZA9+YZdk5vpI1O3E0QcRw4mvm\ncpW6a9cbRbTOsVBo8aUu/QYPsBcrO/qiTBwXX2dWLu/AuP7ZcAXn8VmAL8vVqyd+9LUAPllEPh7A\nO2GDcHEH+l8E8EQY9nw5gF89cWxL+QMR+a8A/ByAV4jIn+KY9mFgh41YVbcAXlGPE0s1S7wEtm7n\n++j7ZwK4oqovyh7LVBrF8Zzn3FQfUtz4qBtx6VGPaiyMVse2QOL0TvRK6BU+q/h5t3MejgKYVNs6\nsOZS1CJeRsi/rTHitQE1Vi4qmk3punKlgy/biTNKyWHwdVY7iQXzM5K5EVQ/LnEQLmrd7jrBQGFr\n6moBNhtpoDHySHBVOTui8D0RzLNGmLMyM4lnduAoUY9S5p46BqLGB6dqAZ5gJgu/SZUCqqA7VTbc\nX4P6/0WcsvguZ5+cHyMTxW/+5mXceuvlgwNzNidpH6k232+BmTt9LOlNInIzgNeq6ksB/BiAF4rI\nWwH8CQ7nMQFV/Tv18iYR+TUA9wbwsuOGI3roHI0R2GptLwXwy6r6A/T9E2HrHD9WVRdTA0Xk4QBu\n8lkrIvJ0AJoN2ImI/vEfWzqKTNiIYlMmbGTCpig2org6CbZasG3ngolcpVwYh5hpAUt7YVzysn/u\nS0xCJ/CSk6R0v/7gB/NjZJrIaF3sly5Aj84OxB/8YD+PbMQjQI+M2I+73Q244QY7/DpBT61ArKVA\n6zqaKmZI2k5mz9+qmFeBllm74ddsNh8NyO1ixaODk+HH0dEyK5YN85K1z8tq8lrI/5wPaQsozUKw\n9NaBZz8rAlMXQMi8Px9qkLR99s5Z7GXEPOPzfe8rOO329iKi73//fjj0oR96+vjuinItprP8OIA3\nBhB+HICnArgxA+Eq+3Q5EnEGXEuiKLT59dbvoiO7zK8jMLusuSf5vc2MAVOjE6YdBY37kGtHZKL7\nmD6iwoxqjGgj0wT3WyNAsy1BZOna5jpktmpnxWUDLXXBGl/Xotr1UWzKtKvHwME9F7a68HscAXHM\nthE4j7IzY8pZucheT2wzvQcw+Yd+Z2O5/tmvDXy991Dv9SvWT2xgMOtFZI0I5wEXiZhPh5aTMuI7\nW67ZDh2nERF5JICvAXCHiLwOVlKeCdv59G4wmwpgI45PFpH7AfhRVX38qMuxT7zWrYV1bSsQq0gr\nvF0/pNfcveWJaxkT4mdmdkCgDhK6RnZe9htlHkB0LYsHKxgVzj5noMggnNmfI+D6NffDIwD7dZY5\nGUrVjJRSoGUy80UpELG1LUrtT7tPrfc4HHQ9iAyMM9VHSWKg2ReEMzaZscv4KrLrpgdQl+TxkuKM\nIPoOo/9uWlVzBIEwCIQLUCbjHrsAORahzGPyAogXcm126BCR7wHwnID4/0RVd24Zraq3AtgkPz1o\ncP870de4gKq+DMCxRiAbOxB0MC7VxcdKbF8BUJeVjMGXz35P1iV1YZtyqbq0sZZQ0FuAPbHzQbQ1\nRpxnXj/vomFsF87Y9nEYcVztPWudMsrYUGsD2UzGfEtB8XWQRVDa/fsxYh6E2mV+4GxZa1Sz+zJG\nHHdpiUDM59FAorv1qVYwbT7D8zBaYQrMeqFrBeHJOoZ2fQJGzN+flVzHQHzNduj4AlV9hn+oiP+F\nAHYC8Z0h7s+rMzBGu84AMatcXPiZES/J3bx0csUSAeoQlLneCwWYPRT9jPbxI15DnJFweDHseDCy\nMSPOADj6nK0AsTSj+gRoPdeV20QERcz5UIpCimLaYrZUsgW1dEFcY79rpoqYnfGak5m1KdnmAGs6\ncZvKJk/7nfyGB+2rM1/S1r6vfxojpvMaG/Z8ivpeK4C8joH4mu3Qsan+cR8AABG5B4C7HzeisxZf\nfZFZisuuihhlV9c04ihAFaB+LtL2PmiDdTNk4EA9Mh4Ii/SvlBwwgfUZDJ4gTlw27YxHZSJKuY6s\nE2dI9Dnzs9/D9gQOb5GJAsgEkQkoW0CN5krtsG9EbHpwEdxwlPdasrYge18cZWTRMZkc1uiIbmlr\n92dZn7HaeOaw+f5ZmeS0+5HEn8moJ3At5BTua3eq0A4dj4Hl/t/Z14TKsg8Q/xSAfysiz4e91ycB\neMFxIzprYSBe627tAuJRQVwF4QrA7R4CX/ecMCsgRRCV8+/cEyEySWadcWAtMmn23M8o1T7TzVgn\nBlA2xkbdHFHYsDh6fkg3p9qHniCyBYrtDFJgpopNEegG8FaPgTdr5/j7GB0nlUF33uOZZx+DLo8f\njIA4y2J+XbtYJzcII3e5DJxNATtavBT3SCJzj4B/VnK9MWIR+U1V/WwReS/Qp97U31RV73Wc8PZZ\na+I5IvIGAJ9bI/unqvorx9T7zIWB2CVWIr7OSN+ughdBuX3fvvPlMEE7JDsYD2g20Gux93F9zYas\n/+gSE7RmylhrhTLw5WsG2chqYz89juy4sAGXbQWcFwTEMk2ATDaIN02AbFFQsBHb6gcbf8ZO7nnH\nzHIfMPaoM+abATEDb8aER/cwII/O2StgfXkySdQ13gsQG/ZjwMyjjIrpWQPy9QbEqvrZ9fzhhwhv\nX6PymwBcVdVXisiHisiHq+p7D6HAocSxK8OStUK4VkHjdVoo658GwqWaJSbAJnNUs8TkVaJKNgri\njDgDuogqnABmw+wNkdX2fUr8CCS5wWAAdqBd0zeyYm452fvC2XCZgMkYMdRXbivYlBpG8czvSXM1\nYrRRmA1HJuy/Hce8FQE5MuUR8O5qJ7nj4WceNw2pwqx8rejteRTzC5h/5te4VgcOIdcbEIvIC1X1\n60TkKeyae1LZx2viG2ETL+4D4JNgU49/GLYYz11GvF5nhM8lK5QZXkTmG3FlJkKMuIJwX5OYI5uW\nysRr77L7ojqjyGN/nAfdshkPmd04q2Vp+pIGYeYessOnjzM2smIOn/v7FYSlSDNRaM1ry++6Wlnd\nESSyYU7SCIz9nlHDveaiGJlvNFV42Gum+4wtx+88WzmrogMLabdIX0ZEojkka7yydpjzdLU+nFCu\nNyAG8LdE5GMBPElEfhLALEeOu7LbPoz4m2FrPLymRvBWEfno40RyZwkXvjVzqN+76N4tyzaAcJ+i\nvYIGyGuFNGslotEw3ueRZqx45GHB05Yzg+Q+rcyIme/jPKva2T3fwyiXvIyFJkaI+zIe6IR40lwt\nzjom4vyO4yuI98XV1rIOxa5siwNy+7DgSBLytrPnlQLw2bGtk6B+iyzwOarMaV6TjJwcUq5DIP5h\nAP8WwCfCFkWLqPCJxwlsHyD+gKp+0LdHr1OWd7y2ay/ZoH/WLYyg7M+s9aRHhVAqSOgsXlp8Hsbe\nGnqM6PkamEabb7YGRbbl0a6axTqM0CkCMQNoBsT+jNu64zWDc2xkYlhx/jgKzM2roM0qC0HE84jt\nZsn3awdyfs+xM5FlIT/v2ZR5R2RAHPViiaAnFX2lOkbaR4X7xPtsTtubwAqn5Z4NdhY2sSdtccai\nYx6fhVxvQKyqzwXwXBH5IVX9h6cNbx8gfpWIPAPAPUTk8wA8Gbaa0V1KMiDOQDh+nxHNyJ6Acig6\nbwAAIABJREFUJRZFpmQz97RdA2gO+bxxY4oEmX03LpcVzQ/Z7LhRK5MJf8+ZFzORE84eD5lHhz+b\ngXB0a4k0bw2MNxvoxCA8BooMVGKSR+1hFibfs3jnK4dna3yFo3KaNfgs87TZQw2M1Siwg68AtsN2\nkb4ov5i5vRSfibeML2uHrxUQX8fua6cGYWA/IH46bLukOwD8AwC/BOBfHyLyQ8o+QJwBsgtXhgy7\n+DdmPbO4pNNj0QDGa4w4rgvMC7XHfu0IjGONzxIQ6V+WYSOE4EE5Xpg3MuJojshAOA79czg8I4LB\nGAKdSmXCy91VOGjG+CgjlrxvlmThcVnjrOBXEl9NDJOzgNOTMlcFfPyh7SOofV/Eti/zZLuiWBMG\nqACb0jNmwbSxTCPrx8Xhr7ppYs19DcCZuK9NIvJzAH5OVf/oeOpeO9kFxBmm+f1ZwcrYk+OJC1eM\nzoyBNlOqTuUTt2H4A5lS2+18VbTRspRxanI0S8S+75pkGRSvIxtmpBjZhxlEuSYzo97FiGemCR+J\nlZanU5LEEUhkIJOxPz9nDXY2oOVJ5TbLkwjsP3nRy5ZfZ77Ci/SoArDJLj4Q7DBsf2vZU1+Mvxgb\ndiDfIVnjdD2aJuqSDD8N4OMB/EcAX5Ft9yYiHwcjmB8HYALwhWtrrl8z9zUxo/CzAHwLUK2cIlsA\n/3973x6uzVXV91vzni8mEFuxAkEpiShUrKIQAhRC+ETwggJSsAI+4qV9EKkWjWgRak1A+igXsdJq\nixr7YEWgAUEaRS5yCLcASQgXQZBbgQZSrNyh8H1nVv/Ya+299pq1Z+ac877fl/M6K5lv5p0zs2+z\n92//9tprr/0sZn7SOiJfp7SA2DaqaMKkxZpaWOYZAjPJZBKXd4ACwulpeaERkVVNqAvMEyfqCPXs\n95nT6yhzXvzYujWtb39bgIwonEc/D8Ke4rUWc0Q657xmuJNkUzY+GWPEUZb992td61lNoqOO21su\nWADWaw3Dg3GrbjHXAw2bp8HBDGTfawLG6IE8OUdyLSCMLm0XJs6vMFIGXk23aQBW2SAjfjyAV8p6\niH+LtCVbtLPQc5DWSPwlEd0EwKwUEdFXIO0wdB4Mnu4XI8cY8c8i7cxxATN/UCK9LYDfIaKfY+Zn\n7ieiTctc1cRYI7Y4ET0bYY/1NVHdBwxDkaNF2aJW2UKMOeLpXeuwoKso4UGZaDjBpmjjwdvqb6LO\nwBe0BWC55qqMSLIhE3OaLRPcoNyD4faYVsiLf9YDk/5dgddm26bFfwYflv9UkTT/RrlkxErCfhu1\nnRDH+gLIaQ6jHX6rPbSOKda+X9kgED8IaWs3IK0I3oUDYiK6A4AVM/8lADDzF/YR/kuQdra/Bmkz\n5APJGBA/EsD9mPlv9QYzf0A2FX05gBs9EEcaAD/77UfF2liiEb7FjqpSRpUVOoSkcsBNyR+GanjE\nidCmJbZAvPc133NF43wLxPZ5y3bHCjkye/NnUB5ZGAxOwZnsR51oC4xtHYmsIFqfo/WpFIStTtim\nxwKwTZ8HnQioo2LMYdl77EtH4TmtQmQB4eL5ahhuq0PSfI1ZKq5LNgjEt2DmGwCAmT9ORDcPnrk9\ngE8T0QuRmO0rkTY3nsOAbq2bVxxGxoD4mAVhFWb+BBEdO2zE6xYPxJG60zY+22A9TljmYxuOrYT5\nXfknYg1paKiTKGsAXy9j4bVYsP7NArHfhmlMd2NRZsomy78zBsiuh8tgAiD7TIAD5AmmFiXdd9T+\nuanPEzVND8B+VOXv2U8wN94wPzlRmjDK5pQQ73XWD3c+ZoCwniPjmE0w4sNYTcjO8Le0t5CKYa6H\nyB0AFyLtqfkRAC8A8GMA/mDGu28gom9l5nfMTnAjAS358gH/dlpEK1RkJdHCI2CIDToK91jkiWzG\nQMOK9ZCNQVL4ubnIzXWwYS8+PK+a8AWlR7T4wyNVaxo/0il7VqzvRQXtAdiDcCZvYiEBFBSm/M+g\nCGx09m9RMVggjt4bE9+hR8w4qme2nh6uCui3Lb0U53IRwKW05VR6wm+5FLNimyY/R3s6GPE11+zi\nmmt2R99l5vu1/kZENxDRLZn5BiI6B8D/CR77KIC3mh3jXwzgbpgHxBcC+HEi+gCSaoJSkviOM97N\nMgbE30ZEnwnuE4Az9xPJqRA/7PQ4oX/bLyO2LNrjSATMCsoVUGj/jK5ugYepzYMewUmkFLW/PSNu\n7VmnhWHdWioQtywuWr3dFBvuOunFDCNWgFEwbhSDXs9lxLZe2L4mGgTYv/miteKZsf/MUYdgNUA+\n3jZb5YANc/lJqh/usp44pz0Iu6VNAuJPtW4eAbSB+E53Oo473el4/v17v3fpfoP+UyR2++tIOzm/\nJHjmLQBuRkT/iJn/L4D7yL058r37TVAkTSBm5mhnjRutzAXisTMwrGBlSMmDylix4KqCck3YWBle\njNzUGgPaRGkip1qEZ7QRO/ZM1m/D5ME0MjtrgXYLPWweJ1UTBYwTzgzZXAR0XTfNNFsDhwiEp0Cn\nBchRfD69vm+KmXyJwAJveaQAcH2pjDhN3InWojyHukrZvEdlkNLHg8HLOmWDOuJfB/ACIvoJAB9G\nctwOIjofwE8y86PERPdxAP5SVhBfA+B3Z4b/kODep4noGma+bm4iN71n3a2RzELOAbCHtB/dbxHR\nQwFcAuAOSFYZ1zbefyyAfyU/f1eWFYYyBx/8M15HN0YsPeNNq5RY7pF7VykwFZ6StwdJrI/ENpaA\nAoTqAnNsSyR93rcIT/Wi5c5WJeEZb4sOzmGzU4cNZ2Cathou4iAtq1RCY/gO1H1EBLR67bMSrTMZ\nA9+ok/ZF1AJc+75n7swlPfasdS0vmmdORlV9j2LHl4sJkcrGpzsqK39t76UzDwhHd0SAWJzv3De4\nfw2SMzP9/SoA33aAKO4ih642/n4AbwfwaCL6H8z81DmBbHoX55MALmbm64jobADXENHLkVbpPRjA\nf229SET/FGlF310knJcR0RXM/P7o+TlA7EfPLUIZNibUAFxXTDYz+VTSw4nNZXWeLO6gbpWXmTIR\nyPuUUMfwQJ1AvVZ1QpR4bwkRFU7LfMQWgL0fUbiWCUkkY0AeHKrfzCZXDiR80Hr22dR7EQhbcI9A\nNEp+FGeriKJnVKzuVdPrXWuUIjY7vPQM6jmBsK5oGdiTtD+BvfaAa6/tOefPdAydsON1ygYZ8abl\n1gDuzMyfAwAi+hUAVwC4CIlZn34gZuaPA/i4XH+OiN4N4Ouk9wHR6Oe8A9LuzrpF02uQwPvp43GO\ng7BfqxC9P7CkQqmIeYhm/A8rK65FPQHAaPQIiRFDzD0JoB7YaTh0j1ozcwLhyD1YyyRN/65nv/+d\nRxof94wJtiYq+XueDUfoY2yvGTVoRn1Hqz9qvWPBeCycCJjnsN/We1b8XIQdKOSi0HomQEwZgJUR\nVzGgJRZc7bUvG9+BDfJlVRQLEKvcArXxwgkAt2TmLxLRbLviTTPiLER0HpJ5yJtmvvJOAL8qSxS/\nBOD+GFGgz2XE9miFYzFuwKa0cXSGGZBs+67UGahmqlP8ST1B1KFLBQKAxOfuTrxbc9TS+z4x5jE/\njdFSLltIfqItp8cVRIsJz1FJqOh1iwE7MGZSEFZva8OFCBpsq6/Sb2utImx2vFogyv4YM7ad9Bgo\nT4mma5QRpxJIq+d6C8R5yCWBwWExDeLy1y02bMuE2c6F8MYY8VF1+gPgjwBcRUQ6CfgAAM8lopsC\neNfcQE4JEIta4nIAj1UKPyXM/NdE9OtIxtWfBXAdkoqi8Xw5j4Gwd77iiWCd7rrBqU64gLGtkCUg\nG4yq8TjriBncpacSi+6GLNZbKNij79MS6GjWRDNrTdJ84QDjqglfqH540ALUMTSKwNw79skdSwcw\nQf11sElK9H2mmKjfvWkMjFu/PZP0ReHTor+jcH3Hoc+ExaqbDGRGzEBfRjnEPLQkyR1ZHU/026sn\nPBhnQHaftwvK+bByVBkxMz+ZiP4caRUyAXg0M18tf/7hueFsHIjFf/HlAP6QmSPTkaYw8x9AbPmI\n6ClIxtahPOMZl+Tru93tOO561+ODCpXCGTZYD9jayCJATwbChu+q13KYio3iErNEbE5E9byKB7jW\ndknAcGgfTXTth47p9dSz/txiyy2w9r1aFK/7zfJPxIjnJLd1bYvSD8WjujInvhYzbonP02jRVcUm\nE8MKxhJR+ZXHYQB6MItVTn64uggHTFGnp/d3r9zFa6/c9YT70HJUgRgABHivnnxwRE4FI74MwLtG\n9nVqflIiurms5LsNkn74n7WevfjiSwDU7LcOK2ZDnlhGTFpZQIZgbbgCzAWAU3a4/CgZpMRgdPIl\nFA/EmnB/JioAvLMDHDtWWLVVWXh6ZpHBO0nYL9rZtNiC9R1EpEZRaSgo010GGmoJm6UoOB+sl6iT\njcJvSTSMt+9EYNwKb6D6soBMhG5F6DpRYdmKaAvBqCfKOCLdz6BN8h7VevdoKX+Uxh6Jg1x44XHc\n617Hcx1+8q8+uV1Q+5CjBsSBG8z8JwDrd4N5GCGieyLR83cQ0VuREvwEpAUhzwLwNQD+JxFdx8zf\nS0S3QjJT+34J4oVE9NVICvDHRO7r9peemgXpvQgfvOlsz6kidgyw/kgUOb2jB7MSkxQ+AFBy2q0N\nhYAakFtDd58om4muKyCsS5R3duqJvGhGKmLanhbOLUyfnojZt9h6RL+y3hNgLoAzByx9P9NSZURh\neDvzMWkx6LHBQjQKi9IxAGO97pCcvFudQPC9iMTNJSB+igGIBYpe23x4tV2kOsnRcOLaattMa6bE\nRw2IT9cuzgcSZn490s4skbw4eP5jSHZ4+vuidaXFVywOMDDFWc4DHwIAmNgQjmIPYQeEisUJeLm6\nhl8V5cF4tWpP+etzFuQsGFe61kbGIvTyjHkuIEcdiAfg0EbYxK/nCpC1fNuA2ho6TyXfqyqYS381\nF5Dt3/s+9lNdzy2U81iaBgMMw4ypQ7kxQl8LLQCAHtnZFJBBWp+KTM59mjW4jJO9ublGOWpATEQX\nAPiIWIaBiB6JtLjjQwAu3cTmoUdK5jTCFjPS9yP1hOzqniasSZivAGnZOcx4CiNkFlwBMpD9ycpj\nJQFeNTEAKG4D8YkTtRrAg15E++3wwKLbXHYcqSY8GEedg0+HPQ/X0A0eHZMx8I5+WwCOAHFufDbc\nqDjmqsd9GnSfOSIII55OE9mhBHVIMCpgbOzcLRtWAxtNq44IVaNRlauOWNYoRw2IkdZA3BcAiOgi\nAL8G4GeQLMOeDeCh+wlsa4B4TC84hkdj71dgLAyYuQHCdi+13JiKD7G8QqpSXQQt2IOxNYD2z+3s\n1ItAdnaGrb+VWQ/CtnBaY1Qb/xjijKkmpgpcJ0DNqMM/bpMTBQcHNl5sVhRwIkc9PrtRfH6EZd/z\nRTHWN0bATHAALt6kmKRCGt/lw2otNZMTCDO4PGXSHFk6MnsuQKETrXXKETRfWxnW+0MAns3ML0RS\np85e2qyyNUDsZaoBRiN0vfaNp+AJoVsJM+kgbEOrfBkUFtUECVQL8kZAF+lsPUMdsw2eUgW0JEIj\nW3A2fAV5ZdzKwu3ZX0cLNqKCHzB/28pJisHqJmvJfWIQpGbPq6Fs9n1/ZNmgFqdljL54tL6MZc0+\n79Pe+iT1IaistuoMM9waF3X808vEZy/lFe0/G9X9aGJzE+z1CDLiFRHtMPNJAN8Js1waB8DVrQFi\nz2LtPWB82OkxsTXCriZOBHuLlzCKAVnjsW1G0aGpHOyGLuP8yjt9r2XOpggSFZKNs0VxLFJFYR87\nVoNxC4QjnXU0LNHOhvJwQc4ehLkqyl4eUw9jY1nxQGzZrH4OO1jQIoxWZdpzBMLR2V9HUumWMwir\nzbmMwaiURihV+epmq4Se06ZKe317r9oIiDXdgz5zjXIEgfiPkXa4/1sAXwTwWgAgom9E2rFjX7KV\nQGzPViLSaZ+12BPiT0d5WTM65Nlo6x1sAMAldmRWzO7cGu777YsOCsQeCSziREudx9QO2kIjFuyB\neI59c8SIpZy0W2NNWtFwGrwm7Emh6xDaBtv69vZeVG8ir55jn2GKEUfZtmerttBiz0Q4d+bphq+v\nlXjKb0GYCXs9Ya+v96rVozUajNj933cgZuanENGrANwKwMvNbh4dkq54X7I1QGxlrJJYfLH3rERq\nidXKmBPlQNSGuACyI3MoUIIYhMfAWBOmrd9uEhqpJiIgbvVQGoYtiGh2qTX971mwV134SbrW+N2m\nhRlADyJKq8Zk8QwpKBtgytbGjGJKNZMRjxFzDVMtIWxYvWGSRPFKdJudlswZvVVH1u0WRZcCcmHH\nboQl5+SSInVhez0yCHtG/OUvFwsQW6W8d1Sf1nXJpoB4jqfHlpfIqbCZ+arg3nsPks6tAeJWJRmt\n4I2G2GLEJENFVUtoAFZPqYzYzDeJc241Y6ta0DBir4izv8ec9YwB8RiVsWFFvU/QuEFUgNgeLTY8\nlxGreQoYMOoINtF2SItiOnBaZEDaDVJVbD6qqb4uet7ft5YEto+M3p8axkd/83V1qOKX+kaIVcQR\n1adkW5wYcVohbfXCCsItILZpOIpAjBmeHtHwEsnMf72xVDnZGiBWiditEr8xILbXsalRAV2VvWDo\nmq550BDTtjW1fhOMAs77oW0ezKOeQ11pRuPrFkp5NruzU+Ly4plwpJbwoDxHZcEAjLUJMis0u64x\ng6hHhwQuAMyGmsPyKkXLObrBN5Z/Bmdz3fdUOY3y6oQxGWfIHA+MTJGUM7l3S2ely+3LHonKhgtB\n6MP6OtR5W913a1C1TtmgP+L3AMCYp8eWl0gACxDvV/ykP1AqkQfiCGjttW1gtpJG+DVbf8alcQmk\nF+tjz3BbZmDKUKMI9VnV2+7tlRblXc5FQK/vKgDrtW+JWhBTKgkL5tHwwtMuSQeRAk6BkC7N+WdX\nkOm+GHT3BOqT0p5A1Xesv1UNwtmFqYO3ou3XClACi77rGKOeM/qyz+bfJj1ZuJRLMSyhgrDSa6Q8\nSVnaPATpstVrZ2fIiCMdsdWorVNuLOZrB/ASuRbZGiC2DSLSZ40NTceGrMwF08akrpgE7hl9fasC\n4hSeOg4KWsoUEHsVhX1OgRioZ5ei3saeI4armfM9TguEo/OUiZ2zM3acL/1WAM6+eBMQE3eiyZAd\nsw2g+/pBQOXQvyOuOsUKsbKSX/imWcAQ1ZOp+hFJeSdZhtQAbDoEBWE2uMvJsVQ6pyc7YcMknQzk\nWde1VFVM9cD2c/hPA8zzSXEYOQwjHtnF+YnM/NL4rTCcfXuJXJdsHRDrtde9TY3+verCvttSq7ZY\nMgCgA7remNwTQEToqAcyC2aYMfUQKH1LUSC2+mM7hlTg29sDzjgj3dOZJb227Nkf0eSbLQTbGqNn\nPTDbRSYtk7ZIR0CJwSazLRadaAJh6nsQq668ML9kKUuDemCvy2H2H5SOkPKHLbBVVAJDlLX1xvaH\n/u8t0TqazmWHFwvICU20spXdrFn7I1YvfwLWnXQ2HSW/KFR3LTBp8v28H1jZQ9Pp1xatU1phvuc9\nu3jve3dH3x3bxXmuHMZL5Dpka4DYT2y0eu0IjL2RgL4fqRvmsu1eVpWSYqYwMRDEZ4U29QDpNRG2\npURODSwI+zGmVzraxHumrdd+kcaxYyUeezBPg28ExDbOEUpZs0KFwV6AWB1K7yG7ICVF75pNt9QF\n1tF5Dbf6LRiMrhBhJkuIB+FF8Y0x5RqES/LrAigAnK1B9BP2QNkxKVlG6BvaDDoyddVVL19lbP/a\nAmIFSrsScZ3SCu92tzuO293ueP59xRWXHiaasXHLZRj3ErlR2RogbjLTiXfGKt7YpIbVlw1H+sXo\nvjRIrtgeczLPGrjEtJTFrihQVhxlzuuII4pmM2AB0ep1IysIoLbY8EDsdcoehI8dGwKxHfO6Tqiw\nQDXT0s7KqCR6dZ6fCp+oB3UddCl51AcXENbdiBkrRS2dxYI9pCdFsnixKgAb3hTrjT6X3rMjqtSf\nlElKy4irZfSSVL/IBJLqbMmWBwy2hnGVbtsfazF4UhKBbjTfe1jZoPnaD2DC02PLSyQzv2wzqRrK\n1gCxlSmWUn5zE4iVaHEvdVsagDYgZSV+MjZVUqqGdCmuogdMYhR/UeJbE3hjaOBbmZ8gO3GiXpDh\nJ9Wiw0+lq/Gst3yY+hDR70A45wOFv1gdQKUPSFtPpQ1ZCR3JcMOWqSnGjjh/A5KOiWyvKkdyZdpB\nXZ3qEuNocOFVVy01hf08g2LK/5iz+ztXf6IwDfqJiAx7rg4aEIkoXXbEN7Xwcl2yQauJF2PC0+OE\nl8hTIlsDxGN6Os9MMumk1N4qIFagJYD6pJ/sOjMcFHvMbMsZpMEOO60ovpg34oTbxPuMePOPyH9h\nZD6mwHry5BCIx8zOmMtEn7XEaIFwhEqt35Hk8DTPml+ha7YfykDcoVPPZC2gA5eNOLXce64/WoVQ\ncpgdWQZfLwDjqSzqQKACP036oH4ICNv7UhTRYKeVlbFRXSR63y/MbAH3OuSoraxbt2wdEAMxbvn7\ngBuCGVBmBtCz0bOxMYpndAz0RNk3fNQQw8qbdZ5mhnzYvuOMaEI1UEV6VV/o31WFoaCrfopPnoyB\nuOWgx45LLQjr2U64zQHj1rklGZksICPxljxcSR8xTYKm59RaoAA2l+Ck7HVX5Ay4Ib0VwHb9QpSt\n6BjNmgknKsKqNLXDDxj2WPxR+rya3+bDD8TG8rBuEAZuPOZrp0u2BogjiUikBeWBBZe0dwjwpmGq\nnAWTdIWSkrRKR+eGiQP2o8yHgcKGuYBGS5nYAmMV5trCQvW5ltna5VSRmZmfQNND1REKwrbwrK43\nSpO/9kOGsQ9XFOrl46BmxBBGrB9QfUbnv1ZoknZJIVZG3JdvECAXdZSXWFvGamWMbUZZsgQgZ9Nk\n12Z7MHnH7nknY4A8BcaR+LrcGlWuSxZGvCXie/YIv5ojfEO6dIWt9Tmsv3tKo9k9pgzEGp9dk68j\n95ClC7upwDhSS/hMtHTEKsqM7aSaMuC9vXlAHIllxBrn3l7cu9kPoddz1BGRWEbcEdB3SPtUyR8l\nTkru8JC2CSIxSTHhSDkTOE/IkW5Hz26MPrhGNjNkB4b2cQvA3ry7Jd7Kh9x58DeqB0+WwY4xYXsd\nOTKyabXP22ej/nkB4vXK1gCxijpB8vjlVavqM2IAxrbHF0KUNwglpMl0BogYJNvGaMWdklx5WRsV\n6c/oaVSMUIfeNnM2UJtZbUUKmNYOWc3JIr8Qmhl7rsbMVNhxiyK1OpXZ0qCEBGQo6pCAGQCMS9KK\nUeb0c/Ud83XuYFHyO/gQw+3qI3Lv2abvfyIQq0BwojQKAEutMX44qHqyTttYem3a7HXUuVjiYvOz\nTlmAeIPS8mo0xyOSvP9zAP4lEvy9A8CPM/OXx+McgvDK6uFyBeJ8YomgmgQRCkRCRXLV18qIpI8U\nTUZFKG3cNYOiFK4caQmCvkgaKnLzI/ntacgYA/WFoSzaJtImbGw8rWLH0mNGpN7uyfeCLRZt80RU\nI4wy1+wkwa0q4M70ogxQVxmj5FzlcgeKioORNnZlqFmhvsFEYJKpPbHVnQLZHJUrykl1AUsfwVSZ\nq+X0K7lgMezrKfVFlKxzVjJCiwxZWiNEvedVEDbNRLWpuv+065QFiDcroVcjzPCIRERfi+TX85uY\n+ctE9HwAD0MC9lFRhtsRsCKxF5UGnhhleTY3WoaxhCggzI6PJEaS3u0MlvnGaVWu+kwGexAIXZ5A\ngoabfxVvASmAZBlQgWrOgKM8mgA9WzC2f/dA7O/7s7byiArq78gI1V+PdSo+DVo2PVCtYqjSzAmM\nc17Th9RyzJbajALECsY6eWpAOH9p6uT9Dtmf74S1gc9KpB7QpHsQ1GSlzlpWy2UGrwGpv420tLsD\nciUkjos5Ui34z2irQQTKA2KzWoB43bJRIG55NWLmVwHAmEckkRWAmxJRD+AmAK6fijMTKgK6TuyE\nVwAM4JX0+QQLWMpzyebUA4XApIK2qdSRlsDiXboooE6cwMDAbomPkAJHByJDS2ziW6BoC0NbXdRy\n/Dt+Cn+KiXvFaMSAI+V8aCoQxaH/BHFVnYcAJwnrNV1c0iRZlkwlTAHhLpupITFkUnaaGHEv9SJS\nPbSG6dGnaYJwwVljV6P1wip20zUxyerM1EljhXSvMSkdgfCgXqJOVwSMHozXKYvVxCmS/Xo1Yubr\niegZAD4M4AtIXvBfOS+uxHDUkfuqE4YBmKEfCjZLQ0vxFjDXpqA6ORiQVGbdNfCvPVy1rFebXd7V\nLoNx2hKnHhdS3pEXcUv3idBzRJNahx13ZuofsFk7/W7HsJFaIlLUj7HvnD/HCC0SDjzJGeqHLoNv\n2q8NqHYdzoAsX0PqioJwYqIE5sSG1Xa8pZrwSbdZmFRLNNgxtA7k/Ke8U9+n0RQBnSw6IVAenUWq\nh6qYqM1m7We1VcW+b83U1ykLIz4FchCvRkT0VQAeBOBcpD2gLieiRzDzc8ffkwqTMSGpJnoWADbt\nG9AGWvsPzpVWnxF1hILvQSu6bWQK9BJkrRbN14S0qitZBiQvQlQS2QLhQWEYGqSTd9bmTlfLWbHL\nqW0LVDAd8+o2Ry3Rom45P9I1NUCY+j6VE4m1RND7Ma1ymfe5pO0Z6MSpEBOLNoJL1L3ZZugAIGyv\nx9mwOO/JL6DMLTKSDrtnkJRBYvGQicpkzdOa8Zs7wMnlEQxW9Fn7aRcgXq9sHIgP4dXovgA+oFtW\nE9GLANwDQAjEz3zmJRIf4173Oo7jF907t92TezDDvgKIunYfqDee9KCqXLrKF8r9xJqRTV37fljD\nNZ48JBzJeB1fHVYKxjHVzI7rkEkz07JbilqiyzxnAF6lWc9uBe665HxHO4g+gTERDVfmZaBMLBUy\n+QV1T5OXjRGyNzXJR9YW2LSZDzSAVSkHziMY/eIC2A4cAWTH8nZI0sGtonSHFW9sQlRXm2I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BWET5yoy8iPDlrqiKhs2uoJTZccquAl6Cxo8cXoPlL1H6HYUVsAQgFiaz8LKiOYClAHyeJqUNEr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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x104870250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_residuals(resmap._resmap)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adding model components\n",
"\n",
"The residual map shows a cluster of positive residuals on the South-West of the Crab nebula. Is this another source? To test this hypothesis add a point source at the position that you can guess from the residual map."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"newpntsrc = gammalib.GModelSky(gammalib.GModelSpatialPointSource(83.7,21.9),\n",
" gammalib.GModelSpectralPlaw(1.e-17,-2.,gammalib.GEnergy(3.e5,'MeV')),\n",
" gammalib.GModelTemporalConst(1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You have defined a sky model object that has three components:\n",
"\n",
"- a spatial model, which is a point source at the position guessed from the residual map;\n",
"- a spectral model which is a power law with spectral index 2, and a flux which approximately 1/10 of the Crab nebula;\n",
"- a temporal model which is a constant.\n",
"\n",
"Name this source `Src1`, and free its position (fixed by default when a new source is created), so that you can fit it to the data:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"newpntsrc.name('Src1')\n",
"newpntsrc['RA'].free()\n",
"newpntsrc['DEC'].free()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally append the new source to the model container"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<gammalib.model.GModelSky; proxy of <Swig Object of type 'GModelSky *' at 0x10b6305d0> >"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"like.obs().models().append(newpntsrc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and fit the model including the new source to the data."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"like.run()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Does the addition of the new source provide a better fit to the data? You can quantify this using the test statistic (TS) given by twice the log-likelihood difference."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"189.762476587\n"
]
}
],
"source": [
"like2 = like.opt().value()\n",
"ts = -2.0 * (like2 - like1)\n",
"print(ts)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"TS is expected to be distributed as a $\\chi^2_n$ with n degrees of freedom, where n is the additional number of degrees of freedom in the model including the new source, in our case 4 (RA, Dec, Prefactor, and Index). The integral of the $\\chi^2_n$ from TS to $\\infty$ is the chance probability that the likelihood improved by that much due to statistical fluctuations. A large value, like the one we got, means that the chance probability is very low, thus we are likely to have found a new source.\n",
"\n",
"To make sure the new source improves the data/model agreement look again at the residual map."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
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O4NaN3SZxaAyoVkPqgcavIJb1hqNs07XP3tkUXf87O3wY/lvF/IvAu/RNl8LM7m9Ks2+Y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\nIudZFiBeZJFFFjnP8v8BZRPOShHDiDMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b399e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resmap.models(like.obs().models())\n",
"resmap.run()\n",
"plot_residuals(resmap._resmap)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The addition of the new point source has flattened the spatial residuals, even though the fit is obviously not perfect yet. From now on fix the position of `Src1`."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"like.obs().models()['Src1']['RA'].fix()\n",
"like.obs().models()['Src1']['DEC'].fix()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Modifying the spectral models\n",
"\n",
"Next check if the model agrees well with the data at all energies. Start by defining a function to make and plot residual maps in separate energy ranges."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"def resmap_erange(ebounds):\n",
" for elow, eup in ebounds:\n",
" resmap['emin'] = elow\n",
" resmap['emax'] = eup\n",
" resmap.models(like.obs().models()) # we make sure we are using the latest best-fit model\n",
" resmap.run()\n",
" plot_residuals(resmap._resmap)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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R0ZhpP/7eAHiHDj08Ls8TywGIz4cY29ulgnhAymy/JjN8NCoxSYOgOlizRR0h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\nyCKnWf4/LJGC2huPEt4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b66cbd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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zJFqcpyWMOQbmiU2bDMGKduKYC0NAwhvSFzUyXnp0g7hEWv1vrRuPabptXHO/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"text/plain": [
"<matplotlib.figure.Figure at 0x10b686fd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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+wOJ01Yqk4wnxedMm7CTZww97XFKeMpGMiWo+zCyWTS22w0az16Jx5AU0K6Rl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\nJFD1DntyGwIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b80d5d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resmap_erange([[emin,1.],\n",
" [1.,10.],\n",
" [10.,emax]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The most obvious problem is a negative residual cluster at the position of the Crab nebula at the highest energies. Change the spectral model of the Crab nebula and test if this improves the fit. Try for example an exponentially cutoff power-law rather than a simple power law. Let's use as starting values for the Prefactor and Index the current best-fit values and tentatively set the cutoff energy at 1 TeV."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"crab = like.obs().models()['Crab']\n",
"expplaw = gammalib.GModelSpectralExpPlaw()\n",
"expplaw['Prefactor'].value(crab['Prefactor'].value())\n",
"expplaw['Index'].value(crab['Index'].value())\n",
"expplaw['PivotEnergy'].value(crab['PivotEnergy'].value())\n",
"expplaw['CutoffEnergy'].value(1.e6)\n",
"crab.spectral(expplaw)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now fit the modified model to the data"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"like.run()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and use TS to quantify the model improvement (in this case there is only one additional degree of freedom, the ctuoff energy)."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"310.569607483\n"
]
}
],
"source": [
"like3 = like.opt().value()\n",
"ts = -2.0 * (like3 - like2)\n",
"print(ts)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model improvement was again significant. Let's look at the fit results for the Crab nebula."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== GModelSky ===\n",
" Name ......................: Crab\n",
" Instruments ...............: all\n",
" Instrument scale factors ..: unity\n",
" Observation identifiers ...: all\n",
" Model type ................: PointSource\n",
" Model components ..........: \"PointSource\" * \"ExponentialCutoffPowerLaw\" * \"Constant\"\n",
" Number of parameters ......: 7\n",
" Number of spatial par's ...: 2\n",
" RA .......................: 83.6331 [-360,360] deg (fixed,scale=1)\n",
" DEC ......................: 22.0145 [-90,90] deg (fixed,scale=1)\n",
" Number of spectral par's ..: 4\n",
" Prefactor ................: 3.58899169188809e-16 +/- 7.19482005644477e-18 [0,infty[ ph/cm2/s/MeV (free,scale=1,gradient)\n",
" Index ....................: -1.83075273156267 +/- 0.0225678364194837 [-10,10] (free,scale=1,gradient)\n",
" CutoffEnergy .............: 3269965.50987754 +/- 121013.554096304 [0.1,infty[ MeV (free,scale=1,gradient)\n",
" PivotEnergy ..............: 300000 MeV (fixed,scale=1,gradient)\n",
" Number of temporal par's ..: 1\n",
" Normalization ............: 1 (relative value) (fixed,scale=1,gradient)\n"
]
}
],
"source": [
"print(crab)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The best-fit cutoff energy is 3.3 TeV, which seems consistent with the behavior in the energy-bands residual maps above. Note that this has changed significantly the Index value, that now is 1.83. Check the residual maps again to make sure that the residuals are reduced."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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LPGPDXeeuL7jdPABzkfiwA1/BegmvEoZCHQj7NrJNmzq07IH4dEgGuiNWOxqW+orm2Vsm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\nuFZSra9TUklHgGzhZrI0ZI3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w+w7kzvnTnAr9mz8VxKfHS5YnWbqrqmXgvtqysugrCZND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qBPgNyvGYjnzUO3RPwkg5Z4EATqyhoBnX3Xg7Z9Z2q4/jpSm7SYsILEAIQ7IC/12aXuq+41b8A4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bd48d10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Jw3vO6lm65t2v6dvSBdduCwrLpGUZ5t/qf2PdeEyBt9ZT8xoeWybFbfPEY+pr\nT9uWEW9OiOgspIU47o40Y/bFzPwiIroCwDcDuAXABwE8gZk/XXn2Jcz8wk3qO45/7LagqllsVMlL\nXeaosOt7FoT1qIkWQPP08oCqdUWzuZXfu67XYYj0bgUVD4ijnT42ITUWuWlZlgXra/qZqCGrsee1\nyBaINyonADyNma8jojsAOE5EbwPwVgDPZOYFET0HwE/no/bsW5n5fRvWuRcPgD1G7DELO+zMA2I5\ne8CodZDwvA1SS+zY6qSfbdkXzuaFlyf6bN3yu4W5L8O+I5NNjWlHvZNaQ+SJ9euVhU1KyURWM7+0\n6moZ8UbAeAvEmxNmvgnATdl9MxHdCOAezHyV8nYNgMe2Pgtgz4BYpMSGrT9daPVHN3F7AGTXg9WV\nW2+wWWLE2u2BW9T9LAGQZVG2IbJ5o8/6GW93Zg/sPNZW65lYNufFJb/nbg1fAuQaEK2DEc8Bu2Xi\na+0xbYwFa9kC8d4IEd0HwAMBvMvceiKA1yz57EYlMi9E5gbv2Z0df01rDRARQ9MMWC/LqP1od40R\nRwwwCq8lP/R17c+67eLutY+rHiCXgNimL8oXT+Yw4VLjpnVdF3BF4XjvYR1xlRpIe16rbIF485JN\nC68F8FS94hERXQbgVmZ+9dxnrbzgBUd698MedhjnnHN4aX1Ls9ui7t60wrDL5nrGDKSlJ4F+W/qO\nkps7YLEg1/4p7jkg7FWsCIy98xyW6vmxYbYAnheGjTM6Srrb5z1ZBkRrALVORtlihqjFG7Fh7baM\nmAi4+upjuOaaY7N1rsppDsTEG+5zENEhAFcCeDMzv0BdfzyAJwG4iJlvmfOs44//9/9uT0epNbfg\nWztbkezc2WHs7AA7HdDtJGZMgr55JR3ODywWhN1FAt9+m6C87kMUx1w2rH/XGKNl69q0otl9iZXp\n37J4jN0KyUtfqQEsbRMVmSp0+qJG1WuYSkctn+216D3UJIrP7h7Ul60gDOsu6ePFWWpgzzqLwLJI\nyZJCRMzPeU6b32c+c+X4TkXZC0b8MgA3GBC+GMAzAJwfgXD07LLSwiLktwWdqPKKeGy4r7g6fLmX\nz5RBmZDYMAjATmLCVKj0q7Dhmr9SZS1VyJJEOtp4agzY/o4A2uou1zxgXxYkbfjetSjvvTK0rKxq\nImh5/57OW9PEemXTw9fOA/C9AK4nomuRcOkyAC9EWh3pbZTe6DXM/GQiOhNpmNolwbOXMvNb/Lha\ndYp/6y5SifISAAAgAElEQVR2iXFE3WtdSJkxQmEBYRBA+iYrIO7yZSIQTzd0jIZmrcLS5lZELaW8\nbG0A9HO1St4KyB6Ljfxa/SKTSquUyqEFtAisl5FlwppbBiQee28tsgXizQkzXw1gx7l1duD/YwAu\nqTy7lESg4QGxBWG9vKIHgNN0ZP/AGIwJBqGTu6NkitC7KGvwJaoPNwPG51JFaQFkcdcauJq91dPH\ndnlLABy9pwhY7V5znq6lUS9aR7nWCjpeQ1FixauCsc2bZcG4BLye/43IastgvhQJNz7OzA9w7n8P\ngJ9CqnA3A/iPzHz90hFuQA7MzLplGLFXkOXsMWIBQ826IulBUsU1VjEDMi8A6oYPdQBI7xGn4ihN\nvKixYaub9Vdy1xqelrhsWPqeZYn6WnJzf610DCw3PayH/kXPa92WYauWbVvdI/+tYLwKUJeANWoc\nS2FsVDa7i/OHkMygn8pm0ZcAOGeVCNctBwaINyG2cnm/RWxXm5APzrZgoccukjJk+ATlB73udFTB\n19GlnhNuzYQwJ26vEdTAmg5C16VRKB0B1KHvPdQWRrJpsMAsv+0rWWb6t9Z/rnhdfgvUOt+1f+k1\neWDrueV31JCfFNngLs7MfI36eQ3SfIRTSrZA3CAWJDRIAtPKPpAyXcrzb6+2Qxgf5093DCJyGV9t\n/K0HPHNkjpmjZrpoZeglEE6mIQXCxIMZQvx3SPmFqT4W4DzwmXN4afPMJq1iAdRj6ZY12zR5ZaIE\nylb/EmDvmezdoj8/DODNexVZq2yBWEkELBETLlU4YcToTRDZ7dGtDLwMJKNEDjjqgtd0b+32zpFS\n13VZMPYAzGfECoQJ6Igz+KJvsEBD46Xjs8A2F3Q9ELbpsQ2zbrAjaXkv+h1GedgKpCWzQ+nenske\nfKwjoguRNhJ9xMYjmylbIC6IrVxehYsls1xxCvP1ajypc2Z2Ug9agRiIK+1cMI7Ynlyrga+Nv3TN\nY7DRONlOWDAyGEtrR4NJJwrXpkvGMkeAW+sRRCy29p68d1HqwXj3IkZfk1MCcCMJgPjY+9+PY+9/\n/8rBE9EDALwYwMXM/MmVA1yzbIEYdWCxlasExMxQXeSB8fbnyPhI3OMIE0bd7FYglvi1bvr3MpWu\nhQlHDcAc00QLI+5ZMRg0AmKkPwaMvXRIh0Qmlnjs1+rvpaH2Hiw4R43QnHC1nroY6QalJqcM8FoJ\ngPjw/e+Pw/e/f//76JVXRiGEb5+I7gXgdQC+n5k/uJKeG5ItEAdSAkG9LGUESCMbJob7ozhm6BH9\nbhXPXBGZMjxddaUH/KU5555LrNGCMUHZiaEmwEjfoQ9r6E/wKEwapcMCmNdozAGtOT0XHX6JuXtx\neDq2MuJTWja7i/N/BnBnAP+dUkG4lZkfurLOa5TTDogj4NT3RSwL1h/L9KwsrxLsyAekDmmihgAH\nDwNdWffzs404BYgeWDwTgwfOHskuiWZjnj3ZsjUBLrmuGyKvQfLYW7TCnMRn9Zv+HnoPY0XzvQGD\nAdAIm1t6PS0sX+sWNdZ2skip0fMavJLse8CNZLO7OP8IgB9ZOoI9kNMOiIE6G7Ri2XAL2HVE6qMS\nJTCOhDJS5742o8yKLPMu6VG6HwFvBBD6ms0HDT4ey/S60taMEqbBXmBkMFYeOKOwdjtP18B4EpXT\nQFkAjtbAsOHIMzUw9p6z1w4EC9aynVl3ekoLQ4oqlmagpWeTaWL6IWniGQQegfAUjG38LVIDVx2W\nBgX7jMdivfRHDLI0JrfUO+l/kz5xOoQFQ/nRAMzqQcR5VrPJ2jzUz3lHbf9BL+wWZhyZTA4MGG/3\nrDt9JQLjqMupgclWHg9EhuFUEpEAhepeM0PYcAoursElMImArlU80Lag65kX5L7Vz4JF9LwF5CjN\nAwjn5oqF/VowFqcEyPLELLGNSqlMRMzYk6g3FkkEyAcGgEW2jHgrLWYJj5FGTGl6zaI0oL8x8TAP\nT2C6CUyXYcZz/BKlkQXAAKIy7GtnZ/pcCXwiEG7SaRSYcvCgcO+HUo6yflqsFs67sWnQOkcNSwmM\na0Bsw66Zg0ruAwXG+xyIiegLAfwrM+8u8/xpCcReF1O79bUSaPRsFxiNoIJc1swHGkOo9z88TT1Z\nlmdquuvfpRl3UUNTsj/q+xHbtuBQa8x0XWMeL6gkbn1tDGjKHMEqo1IMWIy8UT6yngAWPAxb07uF\naB2tW6dJn+2a1F7aavnmmXiivLfhltz7VvYZEBNRB+C7kVaIfAjSRsi3JaJ/BPAmpI2SP9Aa3oEH\n4tDuCIQAbJmQsLlaeD3i9r+Bcac6/abM2Cgjt4AFK0YswbWmxS5wY6VWWSOA8MChJjaPZbSFBi3m\nKQBbMJ4CuwLhrAznQdfcuwkLUM5TgtjbNZu3Hws93W0aBJS9DQLEj2a1LQCs/XluL8+9BrD2Dkpy\nyoD4PgNiAH8E4CqkTY//kpkXAEBEdwZwIYDnENHvMvNvtAR2YIHYA1zP3dK11FvAu+EAQDYw6G6y\nrBvRXxl6ySDbX+43HaBmk4RX2VrXo6j9nnN4OtlGzmOMFoQ1G9asOD2kFdRKc9+ALSDgm0CZOV/j\nKRDrffO8TUUtw9fp8HYrseBYYr8R2EaNXilsT6LyrsW+NxvPnsv+A+JHMvOt9iIzfwJp8sjriOg2\nrYEdWCAWqQFEjRVrRqz9jivqAArJyMAjEGbtRekg9kzNmg3hmz4TpEWzYQ+Mo0rW2o1uYcW1PLag\nZUH40KFpl3+srFY0XZAexILTyJOFasgWiwzG6h1aVqz1KeWxuKOGQsJfFoC9d9EnewZAlhppz58O\n27u2Z7LPgFhAmIielCeNhH5a5EACcQQIkdselr1pINZd0VGcPe8VJE1Xcyjot9kioJ/DnBf76W9I\nRTRxR2mzYKUB2DIda/esMbh1gLHOT28ijAbiQ4cGRhylr8/XUcZw/pfY74IV+C7KIKwnqJQabK2P\nBWJtEpKwaozY5mENiD3/y/aYbJgnFXy17N/ha9+cZ/OdAeA4M/+/ywSyb1PfKnNB2Cu8XqUZ+ePB\nQSMgzjd5YMUydyOHMgligjMmLZHuFoA9UPZA2Etrqftb6zpr/fRvOwGESDZXpWGj1R0LItJjMDrI\nHcHl/LFuwYQFKSasANc7IsYalRcPhCWfbcNX2nHby7cSY24Vz5QSiS0LkXvPZJ8xYiX3BHBXAP8f\ngCfnKdSX8cxdmQ88ENvKVQIjW3C9imnP/fd5zpyMMxXLDDevkouO0wPyga5fNKEfWjEG4QjwaqYU\nWxl1eltAWM4RIEdsq2pHnzyXALjbma4vPB56ohVMHhhdYroELNAlAO7BeArAJTCWvGsBvzlM1DLt\nqBxG7mWBsAbAnv9TAoz3LxC/H8CrmfkEkl34iwF8B4DfmRPIRlNPRGcR0duJ6AYiup6Ifjxfv4KI\nbiSi64jodUR0x+D5lxLRx4noL+bE6xWglq51iQlOdRMgBnpOtlgAi9T/pd1d0CLvIb97ApQP7O6C\neJE2EM2RsBwNXVqJe6JHw9EiOs7S6AIvvyL/Xrd+JwPwyN4qxyhv+1DARGDqhgNdAmIB4wX15gfv\nw5xlw6VGz8sPe82TUp5HjNVrsGpSY7+19x/FuYwua5Gou2GPU0/+M4BfJaILMgh/IZbYa3PTKTsB\n4GnM/NUAzgXwFCL6KgBvBfA1zPxAAB9AGgLiycsBfNOykdfscSXmF8mkYGdWDOYErj0KJBCmxQDC\ntDgBWuyCFguAF/4aCjP08SpbtHXQXPNLKX6v51ADNQ3E+gNdMk/YpS6HzkKvL6VABIwX3Q4WtDOA\nMNMEbCMwtmy55b2XxMvPlh6L529ufC2NcqTnKQXG+xSImfmvATwFwFcAOArg2wH8z7nhbHoX55sA\n3JTdNxPRjQDuwcxXKW/XAHhs8HxxL6r5+ky7jPpe5M/zD+SCzsmmQLp25xpObALnXJA6pH51fz2D\nARDaiKMKbN3ar66MXnj2Wqlxirqskd8SQEhj4Q1XmwiLgUJPAWeAONmDxSzBwK4CY83QvXNpI1ad\nNlsO9D3vfUT5bf3aeJaRVvNByeTQYpoQfTdqqlhtGcyLATwfqWa9lJmf6/j5TqTlMRcA/h9m/r6l\nI0zhkdiBmflfAby05Kcme2YjJqL7AHgggHeZW08E8JpNxRuBagnoPDCx0oMfD4w4faZPZglWASVA\nZqR+N4BFpn4ZmAe8Jsh7iypBBMjex7mIIbVWqGUZsQfImhGP2LFiw8J89cJqKevyRWUI4nyZke3C\nqjNizSQlQAb8Mc5eXswBvqjs1PKzpcGMno/YcE33yN+csrKyLAnEeYbbLwP4BgAfBfBuInoDM79P\n+fkKAD8F4Fxm/jQR3WUNGv8REb0OwBuY+e9UXGcgbcX0eKRJH/+jJbA9AWIiugOA1wJ4KjPfrK5f\nhrRI86tXjeP5zz/Su8855zDOPfdwjgPhudYdlMpq2Z2uxP0OzQK4UogdVGJiYJERc9EBnabCNFqa\nJu4qct91l6O/l6MfGpy2fmXEjG3c+ndU4UtsWmQ0Brfh2XTQSFe5vquGqOl7ntgyMJk0otJvwcne\nt6MiPKCv5UNJx9K1FlIxx9RRSqfNh3e+8xiuueZYe8CtsvzwtYcC+AAzfxgAiOg1AB4D4H3Kz48A\n+G/M/GkAYOZ/WkFTkYuRSORvEdGXA/gXALdDYuVvBfA8Zr6uNTCaOcpithDRIQBXAngzM79AXX88\ngCcBuIiZbyk8f28Ab2TmBxT88Ic+NAWxVhCOmIS9b9dC2NkBiHf7D3PJHpw/0jk1k7suD5g9lM75\nSDbONOxqd0EZWGikg0gnuxiLTbVLG2rKM8x67CyFtlLbRY/uW1ZbO3tTgP0ZdDzkt8rjXv/FOB2e\nRHrPObSJJFrnwisHtodRO0Tfcbkdp6XmX1/z/Gid7GST6Hl7XevS8ux970vgfpD8ckJEzNdcU/cI\ngM45ZxQfET0WwDcx85Py7+8D8FBm/k/Kz+8C+GsA5yEB5VFm/oNVdDb63wbAXQB8jpn/ZZkwqs1Q\npv5fC+DLAHwOwF8x88dnxPEyADcYEL4YwDMAnF8CYfEOTL9rxfrWzy0gDEyZoVcQOyRW3GVWKwpP\nqJtGjS59rBsOGp4loMtDsUJ2RBgmkPTKCB/uNZjkiZZS+2u7p7aCl0SeWyzGY2wtw09snfsOgV7s\nqAfVxWBy8NLRwjY9Rq+fiWbxRT0CDvSx4OW9ftuoeY2cDs8D0hITlvteGfcagQjoo/JSi3slWd5G\n7GGD1e4Q0se08wHcC8CfEtHXCENeVfIMuo+tEkYIxER0PyS7yiORRjb8I4AvAPCVRPRZAL8G4BWy\n2EUQxnlIqxNdT0TXImXQZQBeiDQT5W25+3wNMz+ZiM4E8BJmviQ/P9mLiplf7sc1dS8DwhHDiYA4\nfzcCMhgTaFyDNAgTuZ/xCQTiLg0vBrAgSnuyBenUs/j6c1/5aWSiaJEaKFu7rs4jnUwbngZhPaMu\nhcvDcxmMPYar14QogZZNRwTA1r8HXB4I2udLjFJf8wA5SoenuwVGC4hWR+/cIh64euBr416bBEB8\n7D3vwbHjx0tP/j0SuIqchWQrtn7embHqb4no/QDOBlAMeC8lNE0Q0W8B+BUAf2q//BHRXQF8D4BP\nMvMrNq5lRYiI/+ZvOLsRnltAuO8eO91duzjNzg7QYRc7vIsOu+g4u3kXkwGtu7tpF45DhyYHo8vr\nJMjY2DRpYZrODMKUPlfJrsaytgWzXmshDenSZolWE4U+awDWXffow5fWVeQ2t0lJ1ecEzOyGMx0L\nPPQW7Dv08qgGkh47LJUXC9IlJm5BUz+j/XhMvGQO8O5H4dqV4VrCtGmz4UfnL//yNZkm3vveNr8P\nfjCMaWIHaVLFNyCx0j8H8O+Z+Ubl55vytR/MH+qOA3ggM39yFb3XKSEjZuZ/X7j3D0jDRU4ZKbXQ\nHjuqATEwFET5Eu+FS0jjYWSo2sibqbGTIW75SMWqSx/rKK0/MdlTgsZOYcJasaG9nGaGy+bhVzYv\nrywYC7kHBuYbAUQ00aO3aZuxvxqIxV16X1rPKA2l3zY/avdtQ6bjt+HbvPVYbMQ2I7d3T4dl80bu\nzTEneHGXehwry5KmCWbeJaKnIH0gk+FrNxLRUQDvZuYrmfkPiOj/IKK/Qprb8JPrAuE8pfl7AdyX\nmZ9FRPcCcHdm/vM54bTYiL/dufwpANdnQD7lxSvEnkR+iiwaALFMc5ba6awuo0uzqc0kyEop4o4Y\nLEPdRuNnkywY6G3KgvPIwIbx8o8eI/aY7ypf+muik7u7m7JhZ2fK0FvWC7bheu45jXLLM14cpfAj\ncJWzZcSefy9cm8aI2XtAPBfodXp1XHMBvVlWGEfMzG8B8G/NtcvN76cDePrSkcTy35Gq20UAngXg\nM0jLYD5kTiAtY0Z+CGlW3B/l34eRqP2XE9GzmPlVcyI8mRIVJsssSsxQH12XgDANVcugusiz6jzb\nhgSuv2Tt7kog2cjcqVXcMjqrlkDMDsycv/VltzFLMGJ7awl4o/TL9bmsSidZQFjyP2okrD4WVCRM\nzcojqbFhyxo9/WvXvHIh1z0Q9sA4Am0PfEtgHQGx6G5B1V73GiRbbzYCxvt39bWHMfOD8zcwMPMn\n81jiWdKS+kMA7i8jJYjobgBeCeBhAP4EwL4BYpFSYS+JW4lkDWJmECtU0TTQopzcG9Pq3jSRDpnl\nIExhgOc+6F1SAKZ2gJYo2AdirUYJgCNmPAeQvXYHSL8dM3qY7/rs6eHp5D0XhWXvR6Ak96JnS4xY\nxGPDqzBhL35vfLROV9SDiHSwz54qpolTQG7NdmoGACL6UgAVejCVFiC+pxmu9g/52ieIqHnh45Ml\nNdD1Km9UocU9KvAQMO7RMR7UKhHaMV0dg6gbRjqksXDop0RTl34TQczCu3mBm91dxu6JMQjrCQ7e\nRzmdbn1epXJ5vQqbZC3eRzkBYo/VRaASsXr7XIl5tmJAqfHxgDUyBUSMWMKJyl8JgD3GbZ8rNTIt\nDc9GmLDI/gXiFwL4XQB3JaJnA3gcgJ+ZG0gLEB8joisxLGTxuHztC5Fmk+wbqXWx9O/WLigt8laV\nsqKaZsQeQuhhbFqxTjFidCAZ7kUE5OvyrVhP5731BOHEiRiUPHNElD6dRnHb/IuYZxSe1kNfI5p+\nmBM/oxXZnC52FL5u46K02GvyKjQOlLrnNSDSZaMEwhaMo7y1Yes06yNqCLw0lML2/HmAvnZA3qdA\nzMy/SUTHkUZtEIBv1SM2WqUFiH8MaUWhR+SIXgHgdXlI24VzIzxVxbJe6UrrCmVnjaVnKJ2J0H9c\n6wMbQBScd+Ow/dLsa4gcQN5zgrIrh6I9TEwPEQjrsweI+hyxUA+YSh/3Il0kLonPjo7QH/K0v6iO\nlrrR2o/X8EZd7FKaI7HAahsQq0O0Qp7Wy4KyBcqoF1BruFrTo8UjK6vGMZF9CsQAkNe1eF/VY0Gq\nQMzMTETvAfApZr6KiG4P4A5IXwdPSYkKiS3wlpVIJZLCbSch2CmwKSCkqcvdTpq6LCyWGQCrNScW\nfmTenODRtQ6yPTycClrKA9FRLwik0xdVeA1GOi+kYRITggVyfdZh2s6ABmJ7yH0ZKseczvr9eeBp\n63GJ8ZfyrBRPSTymK3p4rLg0TTrSR9xRY+ex2shvlB+Rv43LPgViInoF0ho6/5J/fzGAX2TmJ84J\np2X42o8grQlxZwD3A3APAL+KRMVPOWlhOLZranER8Auh210mSmDZdUjZmQPLpgrm/BGvXw3IodbB\nmQ3F8epFiQHp6xqMLUjq0XU2TLnv9wbGcXngq90WLE6ciIHYgrDWyzYWGvg0UEmcFqiiMqLdc8DY\n06Vmmmhdr8JLawlcdb6Xei2197fnsn9HTTxAry+RR008aG4graaJhyIvX8nMH8gz604p8SpMdE0X\nbA3AGoi95/3uZFqonHZ2MnB2YN5J4NuD8SKDMfxaqH+PkC7NuMvcOqxwUVo1+Mpvz2Qgh80bYLge\nfem3+eLp5l1jHgOwgLIGGgFhYche/Bb89PP642Qpn+z1EghrwLJuD4ht+qPXrnXWcXl5LeFFhwVg\nD5B1vJZJnxRA3qeMGEBHRF8sE0SI6M5YYlXLlgduYebPy5KKeTW1k9l2NkkLCJcqs+c/jKgjMO8g\nDTlTpogejLMb7EccIZ1d7DLoMnoVSsSCsU6LB1hR2gUk+yQHZD6Kx54FiAWAPSDWgCzp09mkTRZi\nytjZmQJwbayx1nfcyLZL9BolvV6584BY54/1b8OMGlWi+NuB7hUtm9aNyP4F4l8E8E4iksEM3wHg\n5+cG0gLEf0xElwK4HRF9I4AnA3jj3Ij2SlqYcQTA1vRgD6+iJJuwzIKTFmoA4gTCMiSApzUqAmUA\naZjEeJKGlw5xl8BYV0LLgPRkC32/xB51fmlAjPTxAMGC8IkTcZzCiuWsGacG4kOHxmnRcbdIjQV7\n96LyJHFbQPbMPNoEZFmx9e+Vw5rZqWaasLLnrHifAjEzvzJ/Q7soX/p2Zr5hbjgtQPxMpNl11wP4\nUQBvAvDrcyPatNQKVuv9VDF4WsEATFaa5IyVrLoInMwIxOlIC753KfzeU7qewnCY7yL50eYIxrgi\nAWUTQMmG6F3382EaTwRqApA2nChOzeBsmFH4FnQkHjt9Wodr06L18pipJ24DPPaRwhsdPMSX35+U\nI5IV8lR5KL0XAU5rUlin2Pdl371tTNYO1PsUiInotkg7D90RCU8fR0Rg5mfNCadl1MQCwEvyceDE\nq5hDhdHwOAwjG4OqqoYKNGWN4V10ebKcRu7BfyrVwATxiQYAlrDhT9SzUgLdEgB7JN2GqX9bUNV+\nWoDYTmu2ekTpAoaRG5b9ChDbdHpgHHX7ozhLIuArZ4EV3W6PA9WlajrpRuLVdn3bu5ir40RnmuaL\nx+BL7rXJPgViAG9AWnvnOIDa2uqhlNYjvh6Y9IZ7Ke2Ysd/ErYQ9Ag9sZxAeyCynu7LeA3Ma30sQ\n8AWIu/wM96DaR2LBGMNZYhbvNdY00tAB45bFdErApMPU3Wn9nKdPxMjttOuSPjZ+60efbZxeuuY0\nOjbMCcinu9ndDzbsfw93e22GcoNpfth8bX3nnni9Gn1d54H1773/tQOwyP4F4rOY+eJVAykx4kvy\n+cfyWdaU+D4UAHo/y5QR88g98BhA73DZV0EFxsk8kb1i2pcbfgkIY2DL1P+ZZHTEaO29CPxcIHFA\nyrNH2rhE9Gw2736rTlqihsCGSzReoyICiyh9+r4nc4BP1obWC/f39/LvvnfT5+14gSYNyMLurSnA\nc0d5qN+xp3/UiEWArBvhtcr+Hb72DiL6d8x8/SqBlNYj/jAAENE3MrMeF/dTRPReJNvxgZIRCPcA\nDIy4ac+C0++0v0YGZbXgjtiKhwekZI9Og3hrawdd5QgcI78lEJ6kPWDElpnpOEqsNQJfz6/Ww0uL\nDc+CcJQWfb00yqMGdjb+UZzg0dGpN8zmbXP/JzXew6p5U7t5Kd89t06rd00Dq3f2QDgC47XKCow4\nb732fKBfj/i55v4ZSAuVfR2AfwLwXXrn5RXlEQB+kIj+Bsk0QQB4rsWgpRkiInoEM/9Z/vFwwNk+\nYh/LpPKTPg92v0F6JE4z5xRipgpDvXscYDuIat30OQKzcfzxYW25XnxenFZKDLkEuKX0R+ARpc0T\nZn/ComeO0CMbSkzPXtfglM4Mr/gMDfjgTq7MijEcFoA1E47S3VKGIt31b+/sga++v3ZZEojznpq/\njDTB7KMA3k1Eb8jTjkV+CMAnmPlsIvouAFcA+O4VNRZ51DoCaV2P+GVEdCekMvMppG2kT3mxhSZi\nW5VQkhkCpoSO+nw5XMWoayxQxKsU+ndUIWphefGXdBK3nsDhrVUR5pIBba9Cl+yw8ttbp8FrSCRc\naxbRfqVu6w9e4ieyS3t5bnW3+ncdpRGMBDDlbwSZ8UpDruF44M15vZCg0dTpiaTWsJUaGJu2milj\nIyYJkeUZ8UMBfED14F8D4DEYr/3wGACXZ/drkYB7LcLMH87Tms9G2tNT5MNzwmkZNXEcwNcS0R0B\nEDN/qjVwIjoLqUtwdwC7AF7MzC8ioisAfDMSlf8ggCd4O6rWuhzluH2397shNMAaE1SpJAXGHhC3\njHTw9Gs1D9gwIwYaHV4YHiMr6WqvWTDz3F6e2DR7IGynZEdp1rp4cVkQj9hhTXbSkiAQ2/4CGMpD\nBlzKHwxkF5VkjpAjfictsk5w9MC41DNamywPxPcA8BH1+++RwNn1k7dW+hciujMzf2LZSEWI6IcB\nPBVp09LrAJwD4J0YxhU3SWnUxPcBeLXs0myBMu/yfKaYLAI5AeBpzHwdEd0BwHEiehvS/lLPZOYF\nET0HwE/nQ4ff0uWoSgRq9QfzH3JK5YT2JTAmiScHoSuWt+9djQ3ro7Wc1hiwBV596KR5vyOQ8BoL\nfbbvIGK7Nu1aTwvC3gdC8at1svEB02UvvTSUzvY5IqDLL54x7JaiP/amspQZcQZgzYZLy1evAoAR\nKy6Rkxoz3ogEBfzYsWM4duxY6UmvVluNrR+HWS0tT0XaFukaZr6QiL4Ka55Z9yUArs1rbR4H8I9I\n1PsrAFyAZPQufrBj5psA3JTdNxPRjQDuwcxXKW/XAHis83hLl8OVZZlNHKAK2C3V+dSzoHHlbxmm\nZfX07JhybmG0EYC2MmoLwtZPpLsFYZ0We9h02PUubNyRqaQE6FF6dVxeY2H11mmcnPMfkjHByGUB\nunGWceg02IbV5qmW9Zfejyc2nTqPW+WkAHAWdvEUuODwhbjg8IX976PPmsyT+HsA91K/z0Iiblo+\nAuCeAD6ad9O44xp3cP5XZv5XIgIR3ZaZ30dE/7b+2FhKoyZeQES/jESxzwPwAACfA3AjgO+f+9WR\niO6DNAPlXebWEwG8xnmkpcvREK9/bnu4/4O+AXUoX6p06CfLWUZsFz6PdLR6iltP5/Uqh8dytbvl\n8BArrMYAACAASURBVMJZRrzurG5UvGm9HoBaPSxQ6Sm92gasx99qe3etEdE6y7Xo0Pe1MGP0IU4a\n5Q7DD+79KXdwlMAwanx0erz0eT2Pk86Gkaa3LynvBvAVRHRvAB9D+ghnd6B/I4DHI2HPdwB4+9Kx\nTeXviejfAHg9gLcR0Scx0z4MVGzEzLwL4G35WFqyWeK1SOt23qyuXwbgVmZ+tfeYp1IUxy/90pHe\nfe65h/Hwhx9W8c9WeYiNJNLcm+Hs5uGmsByYAfpAXFlG0QQF33bhbRfbhuEBsmWc3qEBTMdbkqib\n7t2LVriLwNVLW4s+ArrWpFMCVeuv5t9PJ42ALqk75Xikzl64kleSZnuvNJKi1mOI8lX8R6vFaX/M\nwNVXH8M73nGs8jbmS+vCTFayzfcpSOZO+ZZ0IxEdBfBuZr4SwEsBvIqIPgDgn7G+ERNg5m/LziNE\n9EcA7gTgLXPDId5wk5dXa7sSwJuZ+QXq+uOR1jm+iJknUwOJ6BwAR2TWChE9EwB7H+yIiP/2bzMU\nFiqQ3BfRC8XIyl07O0A/HImGSpOkr2XpF49n0/V2v7yf3IkT4wVtallt9bTDsPTiPSVgjQ67fb0F\n4iifPB1b2aLW3S6s3wIg4vb0B8Zh6hXYDh0a3uuhQ+UFnbyV5Lx01PJnDHzc7/3aUSpTXW7UUzpT\nWeEFsMhlyKZZx1sbTRKBcolte+mzZTQiFHK+5z0JzN4g+HYhIv7sZ9tw6Pa3Xz2+U1H2YjrLywDc\nYED4YgDPAHC+B8JZWrocE9HschXJfHcYfE9AP+mC2WHAq3/9XpdETNiCt72vK6XXVZew7TUtHnAI\nWOqzNU14YKx/l0DfgrAcXpwtIFwCXZtmD7x6PyQsmEfnjvI8TaJkznIAzgNEz0/U+yqVQa+nFbFh\nT6dNlOtlGfHJlj3boWMVIaLzAHwvgOuJ6FokSLsMaefTM5BsKkD64vhkIjoTwEuY+ZKoyxHFZQG4\nBhgtwqzwl9GzYb1eBHP6ODOw4pjVbVq8eCP2HIFyBK5efnqNnsfkLUDWgNiyXvthTcelAdWLx1ve\nNDJfWEbcmudevhDkYHXOLXr+qruTR1iwCcsDVs82rv3Urnk62jhKafP0W6fsVyDGXu3QQUQ/D+AK\ng/hPZ+bqltHMfDWAHefW2YH/j2FY4wLM/BYATV8gQ1ayovSMWF1g7a4cJ0MihuSxYA3Emglbdizi\nsWV9T4ObHNb0c+iQD8TWjKLjYB5MMx7wa+brmSs8xlu6VsrX2vWp+UatP0GcB7YlUOYuDkvnheSR\nHgbpAWOpzNn8nFNeN12W9zEQ79kOHY9i5kvlR0b8RwOoAvGpLCWgLpmgbKHvgW2NQNzSiJTYigfA\ntcMCcKSTBWzPn2cq0PZaAUatm3brL+iaqUeHjk/swVNWzM0gTCphreA7yYfkC3BWYuuHuhHcJUZ0\nXlpg9oC4pE+LXbtlaOWm5WTHv4Ls2Q4dO3l83C0AQES3A3DbuRHtpXiVTd8T0exHg1YkXsH32Gap\na2h10Prqe5491LOfekBm3d4ztUajxnhroOgxUnvWJgcN7DteHwrTOIiGj3L645yNJzI/dJK3NC4H\n3vuO3qW9p/3IJA/kjQYy/I7HU+QeVgSS2r1Mw67zNWo8gSno77WsMHztpIraoeNCpLf9bSUTaiQt\nQPwbAP6QiF6OVGaeCOAVcyPatEQApodLlQAQaB8+5XUNS+AmZw9src6eXl5ctaFoLYDs6erZfyPA\nja5FH8+s2YBoAGM7aiPSTQDcsmA9UsJrDEbga4bRee95DghH+nKXGC93hB1gWPqSkTaaFX8Yp92S\ng2UB0uu9lMD4ZMp+Y8RE9GfM/Agi+gygl1cEiIiZ+Y5zwmtZa+IKIvoLAI/Mkf0cM//BTL03LhrE\nonGrJSCWwq4LRKkyeqYA+9uCiO3+19hlZMeLRj6UQNgDZPtbs6Ior2rjbFvYsGXENm7m8Q7Ocl9P\n3JBr1vRhgX7ysc4pF/1KaE4ZsO89Yq5enoKRkB8M6iSBUuAUMzb5rvOj1LMqiX7OA2N9tvdPhuw3\nIGbmR+TzF60jvFaj8o0ATjDzVUR0eyL6Imb+zDoUWLdEoCD3rF8Rj+VqiUDYnkvdfatfiWlKeK3m\nCO96if1Gh+joVeASGNu01diwHkusWbHNRwFfL7+jeEqMfdJAGxC27y0CQJ1mDeC+vZVAxEj7Fw4A\n3AcdNH7LMuIIhEtge7JNE/sNiInoVcz8/UT0VD00d1lpGTXxI0gTL+4M4H5IU49/FWkxnlNGIrDQ\nlT4Sy4SiilgCY3vNu18yn9gzMB05UBt+Fg0F8+5Fh1dxPTDz0hExYsuGNSP2QGJnZ9BH3DYPxe0x\n7Wa2rj4YyoYr8rskHmu1DeUI1Ah5M1monTmmwGcbtmXEa7S8d3oyQdeT/QbEAL6OiL4MwBOJ6JUA\nRm9t7spuLYz4x5DWeHhXjuADRHTXOZHshWiQ09c0sHkSMd85oOtdKzFiq5vXcOhwat1hT5+WiuYx\n3pp/rbt2R2mpsX9dAbXpwQKw1UH8WxOIbnStnqNwlJvlYIAtiFbyog/DlAM7wae3gRfYvX7eA/ll\nwbMVhLemiVnyqwD+EMB9kRZFs0XqvnMCawHiW5j58zKkJ09ZPsXa09VEF86Wwlgq2MtUFg849L3a\n4YGpd9bh649eGvAjRlZq6OwRiQUmL3wLxrW4PVuwDXNQYADbXYx1WSzQL0sZ6eaJ17DqsiT3dZqj\n3pLNw1UB2JOSeeJkyn4DYmZ+IYAXEtGvMPN/XDW8FiD+YyK6FMDtiOgbATwZaTWjAyUeIynJKl28\nCFii+y1gPOc5Ee/jVws7btEnYnQCSF4vRYOZvmZHVETpq5qg8p8FAFoAIAzrPSwGEBZQ0IBYyhdP\nj1G8uYyUTF/Re1oXGOs0eOEtW5bXJft4+NrKIAy0AfEzkbZLuh7AjwJ4E4BfX0fkp4Isy4bFHflp\nrTwey/N+t4LfHNCeW8lt/nggGOVhrZut9dI2aAHGEiv28i7SITmyrZbGjFi7JX9smFFZsfngmbxK\n5iMPxDfBhj3dtQ4nS/YbIy4NXwOwkeFrCyJ6PYDXM/M/zlN3f8jcAjincrTY47xKrd2rsOEoDGuH\njPSNdLPAWQJjz3Ye9TqEpYtuuqvvxR/pGtnKmQdmrHVaLDIzNvp5uliQlrPtYVjwbQFi67YfV9ch\nnn36ZLJhYHNAnJdk+G0A9wbwtwC+09vujYjuiUQw74nUaXp0ac31PRu+RskofDmApwB5NUiiXQAv\nYuZnrSPyU1U88KkVVK/CzYknYsM1AC759e55YKJ198A50rtFvwiEPXZm2bp+PvLrAa12D+mRh9no\nRYoNswvCNuyoEbH6C7hotm3D0c9qu72OcxMgeaqZJjbIiJ8J4Ko8H+KnkLZk83YWeiXSHIm3E9Ht\nkcC4KkR0W6Qdhu4DhadzMbLEiP8vpJ05HsLMf5MjvS+AXyGin2Dm582JaNPisQld+EvPlViWDV+k\nxnRX7e6X/ER+I1ZcAnGtqweakwkRhbyydmALSPa5Ofp4wOj5jdwD0JCrRzqPA/fi0u/XsmKrn560\nYv3YsKJ89fxY8RrWCFhLPZ5S+d+0bBCIH4O0tRuQZgQfgwFiIro/gB1mfjsAMPNnZ4T/BqSd7Y8j\nbYa8lJSA+AcAfCMz/5NcYOYP5U1F3wrglAJivT6BBeISaEYM0pOInXn3tb8W21ytq93qr8SEa+IB\nMdF0aFgrGHsNYY3Je3p46ff81iTKf81Eo0YjkghEicbs1huh4oG5TaeNo1WfEhh7urbIJoF6g0B8\nV2b+OAAw801E9KWOn68E8Ckieh0Ss70KaXPjFjp1lmxesYqUgPg2GoRFmPkfieg2q0a8bom+VNe6\n2Na+WZIaQHvspcRAvPC9Smmf85ik15hoEBZm5g3v0hXWAqk8E82m02msgbD2r8P2gNiG6TWYNjxx\n1/JOu0VPO5yvJBED9eLT+V4Cm1LjViozJYZdA2MJuxR3Sdd1yiqjJvLO8HfTl5BsUK0rRB4C8Aik\nPTU/AuB3APwggJc3PPsOIvp3zHx9s8KBApF8fsl7J0X0JAg5W3tk9IxlKlpqhc4D3dbC74GajrME\nKDYs77d12zGu1o/NMwuAc2co1kTyyTJt+948oKsBcQmE7TlixKV3GJlLvDwHfBOFDStKXyn+6FoL\nGJfKoOd3kxKVmePHj+H48WPFZ5n5G6N7RPRxIrobM3+ciO4O4B8cb38P4Fq1Y/zrATwMbUD8CABP\nIKIPIZkmKKnED2h4tpcSEH8tEX3auU4AvmBOJHshGojtR5KoQtVMDREAes+1sI+StFSGkj8PkHXF\nFBDWS09GTNQCoec/0nUOO47Ap9YgtACx7SF507LtfQ+MdZq8tHogrMO3PZFSeVyGnVo9IjAuSa3s\neY3ZuiUC4gc96DAe9KDD/e9f//Wjc4P+PSR2+1yknZzf4Ph5N4AvJqIvYeZ/BnBRvtYij5qrkCch\nEDNzsCrsqSm2sNhxoZ5oJuYxRTl7jFdLZCes6dsKavZaK9iXADsyCQDjhixi16VGSvJTg7BuCMRf\nNB25BMQlE5QcGlRLQCl6ik6eeaINzHiUjo4AGH19kCcgD0GNykNUNiJW7bk9/1F+lGSTgLxBG/Fz\nAfwOET0RwN8hLdwOIvo6AD/KzE/KQ3R/EsDb8wfb4wBe0hj+Y51rnyKi48x8XauSm96z7iykYSF3\nR5pV+hJmfiERPQ7AEQD3RxqV8d7g+acC+OH88yV5WmFR5gDVEE8ZZCyr9EDGVuYoHm8FMNsYaCBc\nLIbdi6NdmO3iP6UjSrsGT80e9dm7ZvOtFei13dp2zSNWHgFsBNxeGj3gqQGM1wCPnsdwHtycl4HP\nwCzDBqHHKo+Hy9n803FLnKV36QGwfs6TZRj4JmRTQJwX33mkc/040mJm8vsPAXztElF8fT5ktvEl\nAP4CwH8gov/JzFe0BLLpXZxPAHgaM19HRHcAcJyI3oo0S+/bAPxa9CARfQ3SjL6vz+G8hYh+n5k/\n6PmPusRz2GOtknridWmjgf0RENt0aJBvAV8PhHVYpTTrtItbP2/zoAbK0UI/On2Az7ZLQFyy53sm\nkBqLnQPE3rMjN2G0sCVlJ9GgQIe0YzMDIMZka61SnmkAtizeigVg75rXUHlpj3qAm5D9NrNOyVkA\nHszMNwMAEV0O4PcBnI/ErE8+EDPzTQBuyu6biehGAPfIrQ/IDtwcy/2RdneWLZr+GAm8f8GPq6RH\n2/UIiCOA8Lq03nCtFiD2gFuD8DJsWKezlS3a+5FEINYCwtrtAaJtTGxeamltgEuNrH5vJUbspRcY\nQDhhsgJjAETpChOnfZwJ4AWgFyBaOPrZhlGXI6tzJF4e2LRE5TzKi03JPgbiu2I8eOFWAHdj5s8R\nUfO44k0z4l6I6D5Iw0Pe1fjIXwL4L3mK4i0AHo2CAT2qkHW9/C6hByRWtN3TW83Mdq3lGbt8ox7r\nLOHpYw4IR+aJljzQeraKx2q9IYFah9IEDwvAHnB4YKzzzYKWp6PHOq0+ESBN8qsPjxMTVjbj5CkB\nMpCZMNAD8QJA5zBinR8eGNuGv6Xn05Iez/9eyH5d9AfAbwK4hojkI+A3A3g1EX0hgBtaA9kTIM5m\nidcCeKpQ+Jow8/uI6LlIg6s/A+A6JBNF5bny71jHmA1bpmZb71UZsdyzHxiXNUuUWHEpzV4FLeWn\nBa+IEUfs3HsHHgDLPd3I2bBqDU+kY5QW7W5jxOJmoGfFhLRxqHhkEFOaO2vSEZU5D4wjG3skUX54\n71v7997/pmS/MmJm/jkiejPSLGQC8B+Y+T359ve2hrNxIM7rF78WwKuY2Rs6Egozvxx5LB8RPRtp\nsLUrV1xxpHefe+5hnHPO4SqjtezHY1Eei7Bh2oqi/UWszMZrQdiy3Dmga3UrpT06a13nhOExSpvW\nSDzAkzz18lyHWc8PNbIBGH1g40laqHfrd1pshARZKZ2pLxRjz+KlY8KCs+24X96ber1SXIXCq2QV\nwPQaTa/civzZnx3D1VcfWy6yguxXIAaADLzvqXosCLXN4lshgrSNyD8x89Oce38E4CfzF0zv2S/N\nM/nuBeAtAM4NVk7if/iHlA4P2KIkdt1400lx6261LaQeI7PgaLuLOn4drrjtyIgaE9bgbOPXetnf\n4haTiD57Q7201Fhm6VwLJ4pTizblaNu6lyc7O8BtbjPs6pzeawLirn+fAzCn/Ekguchum7fahmxN\nLx0WIHB/JizSSAlHGDl85B08QGCmjLlJOe4zYwjE9io8/UqNki0T0egdHVcLNNzlLgQeVlRaSoiI\n3/SmNhx69KNXj28d4iyD2d8CsP5lMFcRIjoPiZ5fT0TXIil8KdKEkBcBuAuAK4noOmZ+FBGdiTRM\n7ZIcxOuI6M5IBvAneyA8jXPa1dNnLXaVK+nq6WekgNa66FH3NRIdX8kU4VUi624RnS81Juvpb5mu\nF46XxpI+c35boLCH1xjZ8BSspWvM6tMaA3k8r44/erfTNHM6mAd2bNGzj4sy96VMmgnMnarNNKrZ\nUc+ilFZPlikrc55bRfYbIz5ZuzgvJcx8NYBoYsjrHf8fQxqHJ7/Pb43LdmVFvLUDIgDSoyD0s7q7\nVuqmz60Qco4Yr2W+tQoYXYv09XSMANmCUZSHXvq8Z0px1Ri2Bd5Sz8A+TzK6IdsIqN/LnpLNwDFL\neGkc6ZoxOAHxAuNhEab1pAzCRAB1AOvACQt0PWuOXqWL70qfOWW0zxca34/cm5L9BsRE9BAAH8kj\nw0BEP4A0ueNvARydu3loV/eyv8SaE7QZQHfBokkBpQ9hq8RtK7ONz7LhCGwsGM/NG+93DRhLabOH\nlz5PZwvk3nsqmU5auuZx2oW9ovfYAzT89JTyLXPaITxbkHZ307AAOXZ3QYtddItdEO+i4wWIdQJ8\n1h+ZGebInJ5IrZe0Tmn9KH0Kya8hD1sjovMBPAdp8tqnAbx4bmB7Nnxtr6WlQNmuV8QuIrPEnIrg\ngUgJ/FsBpkUPy25qpofWChgBsHZ74Kvd3tkDd0ssy+DEo3j6QwMmsr9eJ5L/oR62tzWWQQGWjfBG\nLUW6RkRpvBq6xMi7DmIiJgDg9PEu/ZtGVnsfthfQaxcw4WVl3Qx5Hw5f21Gs97sAvJiZX4dkTm2e\n2ixyYIA4AktbgbxurpxLhcvak627haXUTBseAHls1cZt01gGjHpcUXwllizizTC0zwo+1cFtHI99\njzrPtRlJPr7u7KiPcxI3SI1ToKxf8tC/S9QY9ZCO5CAsFgRiAnGnRmVk4MUC1OUGQHeRRvPbh6dy\njJO4dT5E7Ng7S77Z/PJ6MDZtJTPIOuUUY7stskNEh5j5BIBvgJoujSVw9cACsRYLNh5b0OTFPluL\ntxXMa/qVwNFbonFZRtMC+K2s2ctPO6lFS0v+tJoEIvCR0S9dB5AADqFnwgMIMwTwNPu0Knp5ouMk\nRgLhbOlL0RGICGl8BAG0yCZo8sFY4NsAcsTMS2YKr1diF13S4ZcAeJn3t4zsQyD+LaQd7v8JwOcA\n/CkAENFXIO3YMUsOJBBHzE27owIdzfqqxV0yV1jgsPes2UDrG02/jRhai84twB/F4QF25K/E1kRX\nL75SHtb0AxQbFluzMGIawHfQhRRIDx/IWrr4/XsBAM7jILjLYyIWIAAdWRDGkPDRxwON8tO0t4Bx\npGfUc9D+vCGXm2TAVvYbEDPzs4noDwGcCeCtajePDsCPzw3vwAGx14X1QNirYPqDQEuF1yAaAXHE\nOOw9rXcEUJFOHgCXQDnKEy9sr1GzZw0OGiR0unRFb63gLQ2q90zXATv56Ix+gNhgMwgDmYVOmXAJ\njPUh0zCECQNpNl0yUizQAeDMjidfAzUQCxvuG4axFzuEr5U0RAxanvc+qB4UIG5Z6TFaJbIWNjNf\n41z762X0PHBADMQVtMQA9QduG1YERjWbmgXaSCyIzQFi+1wLK57Lhku6eEzNpl3swaJvq3kiyjs7\nCsWeeza8Y8ywvWmChgEOdVUmLFSkB6/kSwEyg/JQuLToD4FJ0eewRRk3DDbfBYxFB8turc6i40hX\nA8K7u8N9bZo7KECMhpUeEawSyczv25hWRg4MEItEgByBj+dXwpHC6QGcB3ZRwbWs2ItXztGymvaa\n9W91tICh9fWG03n+alLrKdiGJeoZeGHatEQNgHbr35oJp+uikNIh+W5Koz5P02EZdfogCFr0tuIQ\nfPvMMWCcQ/TKrRDmMXYJeCstaAqs6aD+mtdARuaOTcqmgJiZ3w8ApZUeo1UiAWyBeN0SsSvb9bPA\nwZxYQ4mBtcRjpdQQ2B0iBIQ9M4jcs/F7OnlpLj1TS0NkEllFIgD2mD8wTcNIHwb0FP40k456ICs1\nkDosr0H3Ghh9JgCUTSPcEZgIELODG/BY71AndZvURWaelk/9gPMuPZCP8nXTcqoMX1tilci1yGkD\nxCIes/W6fSLetGf93Ny4IrGMywNfzYo9YI50KMVX8+eloyY2LK8hkHNLHorfyPziNgjBD8rjc0vx\negxc62D1kWf0kWEXi47Q6YcI44AFoNWgt4ikj8dAK79Rj0ElX00anKSr92/ydC9lFUZc2MX5MmZ+\no/+UG87sVSLXJacFENeARIOwXahd3NqvB8w2PA+EPT0sAFv7XwsbXqbSLGsLjPJyLlhriRoFD2xL\nINyng/MxXrEBwkjJicMzaUXvz963ZUWPppBdObhvApwIFM31spCQ2PyY2U5p7gSEaQBgC8aWCZ9s\niYD4/e8/hr/+62PFZ0u7OLfKKqtErkMONBBH7EXEFka7T5j9sGErYa3CWqmxEBtGKxuO7OKRWBvg\n5r5Y+9c84C+ZefRzkSlidK8PQA42mJUNFIWueKknE71jeU8LWWqCCAvm3iYbM2KM6auOa3KRIUPl\nNBj35oocRU+0lTfbNnmmCSt7xYyjMnj22Ydx9tmH+9+///tHV4mmVDteBuAGZn7BKhEsKwdurYkW\niWym3nKAejRFbYlK8W+7qfawYhsDuyZGtGRhyZ+eXWYPb+0G3ejU9G/x5+WzTfOy76xm+shXM+aI\nMsqNGIC83969EjMel4nxUvF+C64jgTVUjNKUZmVP0VpjvDwsgEzWHaTZA+O9YsubWmuCiL6ViD4C\n4ByklR7fnK+fSURXZresEnkREV1LRO8loovXl7q6HBhGHAFcVIE9RrlM699SUD3mIeCpdXTZncOG\nvVEV+vmW7qa2fdcqnwdMrRW09F5KgGD9e42VrClsu+T985yAcHfBOc5h2JroNuKaBfOE7qVE/kY9\nK0Y/q8/D2z5CIghl7QFYgyrSTs8LAFgokq/1z+eOhjg7heTij4cWoShe72DTzHiDoyZej8pKj5VV\nIvdEDhwQ20KjK72+bicYtDBXLZFpouTHArAFHpuGCHz1kDUvvhpIesBWmxywDINtBfgoPp0Wb0U2\nzfbGAxJ4GOK1AGTk0gBIY0AGpu87Yr9ewz0B4Sw73VjPMKMwAC9R7qZKAlJywAzsopyOrkvrCXVd\nen70vQNjvVuIiyUGmwTj/Tazbt1y4IAYiME4ei4qmN71FgD2/EcgXFoYR9twLfhaAPUA36ZF66QB\nww6Ba0mT1deTFtOEF1apBzEx0QADCMtqaoopLvK5f8+gpsbWi7+WNtszsY0FhZlCYxcBHRhMWVdr\nBkIGYQOwOzuK9e5gDOTqXOulWDUjMrNOOVWGr50sOTBALDKnO2UZQq2C1sDO82v9R6Bs9SIaA6SA\nsAfIOg4bn2f20GFE6fAaoHWJrfReGmw6LBgLKwbGIExIH8cWiwTCgz2bDJCV33N0lPwDaiw6jC2+\nmH9qyaEM2gLCu1nfBYud1E+H5OnOjgrHNOxAWzmXNOlnt4x4s3JggNgD4Kjw2JZ/GXuxBo9lKnSp\ny6qvaQC2vy0ge6BhGY4AvNVlbkWY0yuI2JUFXe226fI+RIodVD5eyeLuySZMwGIAL/1xcWGAyKYh\nek+lNNuGD0j6tZom9Ac32bRjASTLMcsHY+qn4HtALCDc664agJZy7bFhub5pe/EWiA+IRKYIW3Cs\n7dID4lKhbe2ykjM9dTTtFvp5v5ZaoPQAoQTEUaXxQNgOiVuGAbdWUA/4Sv702Y4SAYbc68+j9512\nS95djE0SlhFGTFzH6+k3PMcACDLFmKDfN/WNxWC9Hk7jQNEzaMr2hH5j0wWwa9m9AmI5+vdp4qiV\n66hh2iQTFjndgXijw9eI6CwiejsR3UBE1xPRf8rXH0dEf0lEu0T04MLzP5H9/QUR/SYRndESb8Rw\no8P61WEMusSsdjJ0rON++cV0cH+Q6oamOGkSd5SeVvHYW8T67DXPb0k2WUk9wJy8l+Dc/3Aarbk6\naF36oEdh5fct713bsPMBytOcieRCvtaB0UFKhuzqLA3IUD7kw1y9vIyyoFIWooY9CmtTsqnha/tF\nNs2I3VWN0LAiEhF9GdK6nl/FzJ8not8G8N1Iy9WFou1ZpW6UvR5VOF+3MiMW9isVc4e4Z0cjpGDZ\nK8Iv4cuAnK1kXn5Y9qO7pC155+lZqqRz0+H1brz3QiNXykdGNkvQcEerFr2vVn10GCWQG3o91H+A\nE/1G2jPn1S+zpowE2DyweVktbvhDvV6W5Ua9oujdazbtMWJrxtuUHGSQbZFN7+LsrmrEzH8IAKUV\nkbLsAPhCIloAuD2Aj8ZxpXML+JSeL4nHiCM/Yh/cIWHHeSyrVEY19Ki1q96in9VT0laqiPp561ee\nr8mmKmnUndaN2ghoza+JByPLsmTXlKHcemJG/yO7mXn0GxALggAu9R/o7EdGLzFRY6LLQwmENRjr\nMLW/Tct21MQeydxVjZj5o0T0iwD+DsBnkVbBv6r+3HKsTp71xAO4iBHL7454BMICxGk41WAx7Ke/\nmuctAM21v9qzV+lsBWwF7L2SqNfiS2LFvZceGYefbeGU/Xnve9JA90AsTD3pNxBa7c4lQS1Orn2a\n3AAAIABJREFUn+I1w+x697TMeBKBcOlde/f2Sk53RrwnU5yXWdWIiP4NgMcAuDeALwNwByL6npZn\n59qIa3bIsV4DG9bu8MggvNNlO7F0NJkncUdd8LnidpMLjKn03MmS1jwh7xeRxuDpM0Ej6sXv6ROF\n15H+TiDX1XrESHZiHrmzjZjS5krJFpxMEnp0h422Vka9dFoW7/n17u2FbG3EG5YVVjV6JIAPyZbV\nRPS/ADwcwKs9z8973pHefc45h3HuuYcn7HLdXW1bmfsCjAEEht0aeHSPiNKmk4ThnuriCpnqGXY/\nuiFd8Iaxeekrgb1nY9Tuk8GCJV7L0qZQFAHFtIehewBtYbSB0Mgkgfyue6qbdWExRw1MF4jze/Ke\nME15zQzRFG6lXFgdRd75zmN4xzuO+RmyghxkkG2RvTBN1FY1ior83wE4h4i+AMAtSFtWvzuK5Cd+\n4sjkmrWdRbY077llpAeQ4UrugqbqRPKXcqXNnVdtXzTmRORlC1I43Vg3ounMOonOA2PtHo2rXZxc\nIPa6xbHnuMBMhEanSbjLpC8yT/VL+7D0eFLMetEfmdVn4/fOXk/AslbbYNklXDW4RWF75aB0nHPO\nYZxzzuE+vOc//+j8THRkC8QbFLWq0fVEdC1SebwUwBcAeBGAuyCtiHQdMz+KiM5E2rjvEmb+cyJ6\nLYBrAdyazy+eq0MrGHuVcpmKOgLj0fOCILJHBNIODvnuAMYDc2agn2G14LSOgGb3GoQjZltiRbbi\nrZLuVcXrtQwgI4oP/qtgrBkiTcuA3Cux5FKDMO72Z5jlwewEGcXBXfrw1o8kbuuFlMDYuiWv9D27\nFokN3777ltX0bFjrlC0Qb1AqqxoVV0TKv48CWLnJLYHxugB4HEA+q0oq1/qKS4SO8uypngWzcuvA\nkl9gvFiR1lczoFL3M7o/hwVv2nY4aSwF12aKZsIadK17drjGrkpAXrg9Qa4AMXMHYJHHCScwBuoA\n7J0lPm8jAMvOa4xYziXw1ffE/9xyMke2QHyaSMSErZ+1xJX/jsLrp3slRYSpdQp4xTZMCrWJAaZ+\nbwe5PGLD8iHDVkIL2iUgLuXBXn60sY2k9C6WejU9S8w9EMf8Eb3ziBV7H8KIBxvxCMWADMI82IlV\nOm38JRDW8Uc2Yks2PCAW91w2vEkQBjY3fI2IHgfgCID7A3gIM7838PcTAH4IiRtdD+AJzPz5zWg1\nldMGiIFyBawVrgiMQuBiZPCV0mvCIYZ8revZ8OicH8oPSJB6SrKO31aYViBuSfsq7HFd4kZt32F/\nHvu2HzLXwYhHgJzNEmAG8QKyXJqMGWcwFhgWIer1LYCxdXu6emYK/Wwp3DmHp+s+YsQbmzy2Tjmt\ngLhk+6t9LJJuoTc6wbU5k3CkDoxFnt6KfI0A/v/bO/foa6qyjn+e874gL2Bly/T1EjeNytQUFF5D\n8fVuGqKpCZSX5R+m5CUxXSqVgulqaYlpuVqV1LJUMELNhSlo/JDbq8HLVUhBJCWSxVpyE4zgd57+\n2LNn9tnn2XvmXOac32V/15oz+8zs68ze33n2d/bs7Ycx+Xiqgf5I1Yi933BvWzDhCiGpbiWMuydB\nXyRskUtMdIOBIANndiqGtRfFGV+PWbrVVn2ISc7fH0fw/hVs+PAIhtOZGvhoXbLqVa7OxvUxR5pt\nvaJlkDD0OjH8twHm+fFYH9hURBwidVviLl7cFY2Xrs9ZV5583X5Qfco6aJZWV+qXeq7iVyQcDO73\n6fj/OcvFIh+iOGK3z3eucc2LhHNkEv6PH3riJZyAcGprPwyso0Qd7n24aUgkvM9WePf4rKk2YFxp\nRsY0Z00SnpSMLXdY1vhhHJbF79vId54P8jYsUyOe9uOxeWLTEXFsbYXHY3dMwqE7RWajxCIB+Vaf\nONeWcrUPG0E9s5YGDWF0hbJUA4qJJ2W9pBrSoize+FjsHiHfYFIl8ZPAU5Wzul7uAOY1So0KmQbx\nvQ3jDWd7q8X/lKqdIWGLgLvu44dF/BDyfuL8W+74WBzW+j8rUkR8880r3HzzSjasiJwDPDQ8hLsB\nJ6rqF9vSjj4euwM4Q0SOU1Xzm4U+sOmI2CNn+YbnUy9HYNyCiUnYr1+utVXMqNTgTjeNxn9BpFKT\nTGwVh+5wn+qOx2EXiS6aprUfIWBpJk8Ku/X18KwxEpbaT2qbBbk4tM6iL6i3igOL2CBdX+6wDsXn\nUvUx9B+Hj3sDcTnivXXMCtMHUkS8fftOtm/fWf/fvfukMT+q+pwZk5/o47E+sGmIOFWZ29zhlrIi\nvP8Y6km4towZGV/s3T6uVetzzoBokgRgWH/zIJ1Z0LVLbV1va5Xq0K/vPYzYnfV1CqSdDKFMK1GY\nx315PN3KKCVrRM8+rph0LXK2ZJoUEYcvZ+MHc6osOflhkfVnQdJEqt830cdjfWDTELGFNuJNWcTt\nFVRGrDcV15UW7ArvVl9oGk+4CkPXNKfpivclR6TS6CL5hOTTEHETiXrCbbHwYsTHLXmpvSzxeAyX\nj9GOkNBMyuPnGPbudkkgV4YcEcfuMP6cZdvFvQj0OHztxSzo47FZsKmJ2CMnP4R+cmEt4vaVeXU1\nT+ahFewJOdeATOt7yTJEiJhwrWM5azi3wGquC93WQ2nLb1s4EdzXkOKlhmbIYfML/sP0IeJkJqpJ\nfBJ5zpGhtXKKZUHnHr7TPXQ2hkWsqp9ngR+PTYtNScRt3TzLXxc/lv+4glmV25plKmedWIS8FjTh\nFCaxhC2L2I+djkmnjYitB4L/H0oDVt4sC7rZmi8gZYSEg2GGMQn7PJMmz7gcoRwWPtwtScNCHGYt\nk3H5sm6Twaq0lm5pNV6wG7C1WXptilBDWcEi4hTiRrlsXTiERb5+31UOiq3jsIyp0SH+msRL27fl\n1cqX5c8PoxtUhBxrJOEXdJ6MHRHL2D3qosvG9cd6iFhxTtIjyCEm/b5QiLgA6F5x44bQRsQpKzdE\nTCxtRBw3wnk1unkg96CblIRjaSIkhTYihtEx32G6MaHlejRxOcQve0W0/iAGCUNDwsPGKo7z6xG7\nrQeQ5df/t6z4uKzTEmrf1nEh4k2ENss3Z+nG51P+4jg9afgXcBa6WM+x/zgva80iBvt6hu42Eo6l\nCbAt4pjUQv8+rlz+JiFibwn7F3fNKnQukKdnT8J1fo0HbBd3OIeIPzfJg3ceJLwIFCLehEjJDt5t\ndcfiipySGcL/uS/dYr9dSTgME8sSqbwsC1YXuguJpLrpMG7Zhu74WCxvxHlw7mZhVxm0EDHhOT+P\nhJcdGi3YrzU3zUc2Xe+9dazNIo6Pj5UvUe5F1KdCxJsMlhUU/k+hrSsZ++1q5c4iK6w1WQLSecod\nt/7nrnOuh+KPx/pyPElSiJqIq5dwg9Q1lXEyrklXYTgMNOE1Mq67jYTXiqVcFg/dJMjJEm1kNo0F\nYzXAPiSFtWgJg22hpvyE/+PrlSJwS/8Mz8UWcawz136JSLiaE7o+Oeqo/2v9BUlIwsE7gQQBz/se\nxQ+u3PW2ehFrBcUi3kRo04TjYzDelQ2PW/D+p/nceC01jEUiJo8uDyarB+OvvaU1p3o8joj9cLTm\nRdzIVGnBVxvNV3vNi7lakhg6OWI1Man6vNEmj4VYa8QboxDxJkTKGu6ikXUl1DZpIrYEZ0WXfC0a\nk0gnKUnCum6xTmxp/hYZW6gt4oCEJZzFZ0QTBvwn1OLzFmjDw9HP1K3yhXmcF7rIXmupXlgoRLwJ\nkZMmJiHj1H9/LGcJtWmja73h5DApAcc9jq4WcRx2VO/XMXnCjIdRMvYzSLvIwoJoPRpC3d9muJo2\n6wqqjo+OsPIe7nP+LDK19qkH/iT1aJl1brMTcaJ6zgci8kgR+XcRuUZErhKRN1fHXyYiV4vIqogc\nkgh7sIhcJiK7q/0dPvz0+bFf1sXEnAobI6VptlnDVjzWflKsFfLuSjSTwOpNpHV+bQiWiGxTW+Bv\nJEHjosYScludirXqcNuyJb1ZCxH4T+DjfTxevevk+GvlwW99XWptGxV9W8T3Ayeo6uUisi9wqYic\nTYflS1T1O8ATAURkANwEfG7WDKWIN0caXSqpZeFOouFtFBKeFV2uI9i6fX3O/9T32b+Ak8BD4FSv\n9mrjTukeCXStV5a/LhKC1VuILd8cCcdxWPsUFlG3NjLJdkHfqzj/EPhh5f6xiFwLPEJVvwbQYfkS\nj2cD31XVH0ybl9Rbdeu8y+/oOQ3aZni+S8NpQ6phrWfMwypOEbDfLFnDeWp2QjMkzX96EWdKIFhe\nMGAuS/cIwqi3pBPEmnoZnOuJpR5EseSR0tJjQg79WvVrrdS5MnxtQRCRA4AnAN+YIvgrgM/Mnod2\nKSLVwK23zm26cVeybotrvaNN9pkl3tS1Ckm42btMqPcAoBpIDYo5+bNZUWj8RnlKEbIlV+SIOCZT\nS3+2ZLHcdKhrtc71ZRGLyAeBo3DzDH8XtzrznQm/A+AS4CZVfVE/ObLRq0bsUckSZwBvUdUfTxh2\nD+BFwD/PLz95yyTltpDSiONzVrg293pEW7e8K9quYSeNP7yHNBLFIHiR12w1A2dvgqVwtGnDlkbs\nNeAuOrG/DrFeaunDbRpxfH1j97LQo0Z8NvArqvoE4DrgXRm/bwGumSqVGdG7RSwiW3Ek/I+q+oUp\novh14FJVvTXn6ZRT3lu7d+zYyVOestPIS54oQsRWccr6SlnKa6FyLwvWgyz3sPP/IW0ldpV6TEIE\n4jdstUGMN2y9ieuXsRK8XU3oV2Vk36Xso/nSsS/+UnVyOJSx65bTeVNWcIxZ6uauXSvs2rUyfQQJ\n9DgfcbgI6C7gpZY/EXkk8ALg/cAJ/eQmjUVIE6cC16jqXyTOt9lJx9JBlnjrW9/bOUM5aSJGSMKW\n//j8rAQ8jziWBYtcU13xtu47jJNLimwsy3uEgFOm8ohbg7nUcO6KjFV9HBIMXbNVjNx1CfM14g78\n5qLyYeZV16bBjh072bFjZ/3/ox89aS7xLuhl3WuB0xLnTgHeDvz0QnISoVciFpEjgN8GrhKRy3D1\n7N3AXrQsX1KF34Z7Ufe62fOS3+eQIuH4/LwaxnomY8gTcFcy9ghnH8t1r2OSkpqAvchf+zTzPLqk\nkdbH0MZCbpJr71bl5IqQgMPll7RWsfNxhGW36krcm2hDHOcykCLiO+9c4a67VrJhu6ziLCInAvdZ\nKzOLyAuBW6rRXTtpNw7nDtH13OIriIjeeGO+HFu3Os1t69bGnZs8PKX9WlZZm+U2b41u2ls2aQNt\ni8OCtdDl+KrMNhlb3e9cVzyVry0DTWqtMZp7o+hQXbxDHflYA0L5wu0k+Ft/0BFpslZZR2Z7C9wh\nyXv3cCisrjK25epdfNy6VvNs8gceKGizSN9UEBE95JBumdq9e/L0ROTVOGPumap6r3H+A8Dv4Ibb\nbgMeCJypqq+aJJ1ZsKm+rLO6zdbxmCTbrOFFYxqL2eq+zxpH7rxFxvGLK8ufJ5B4tIBHSqcf2Xvd\nNe73Z+DnEVZCEg414SC/SjB0LW8RW2X0JOws49E1nrWyizUZLn0dUlgPPaweFw99PvAO4EiLhAFU\n9d24njoi8nTgbYskYdhkRAx5ArbckLe+YkxT4bvII3H8i25cuesT+8tto6szj98PT8IWKafSstwE\n/3OEHL50c7qv1It8jlubwWiLOg+BLRvdkywZQzC5ENUjQIJXhuN6cRsRW+lb9WWS+rYo9KgRfwzY\nEzinemjuUtXjYxl02dgwRGxVrpQFHDdwX0ljqyz1FjpHgF0q+TJftoTomodJSDjet21d47XymSIZ\nDZm1BWGd8G4/Zab1EEhJKx7hqssi1VzHoUburWBPxtqQcRUqm8/Uf1+G8Hxf9asPIu9x1MQvJI6P\nrOIcHD8POK+f3KSx4Yg4VWFDjTBsZKkKbXWJZ9F1fV5CEp61scyjsbXF0ZUsYz8pMo6t4a7x5mBd\nS9VOPDyW7xjhskv+/0h5xMkU1oM79jdK3EqdQ61s4JFzTYaWbcF2eQjMivKJ8waBtVBk6I4tYk/C\nlmVjvfgIz7UhVVEtEp5V5sh1VbtiEoLt4n8ai3haWNd0VnlIZJx8h0NGhp2NWLra0KrSEHNIvrXf\nauxbk1yVYSHg3/SFietp6vy8rOFUW5o3ChFvEFiWWLxvq8Txudyb51w+cpryJBbxJBbvJDLDLC/p\n2iQE63pbBJwbxdB2zOqCj13TeGspXyxNeYkhlK9iEq5HPHgSDbbkw0cBUSdJhF/xhcJw4npPKk/M\nijaDZp4oRLxBEFvEKUKGhmBTxBCTb2ofIya52DoJ//dBnF389kXCbWFS1vCk+bFI2Sr3pHyUsoj9\n8dQoj1pPZlSiqP0yXuaxzI1YxPZFXrQ8EV+PXHuaB8qkPxsEXZ7ebTJAGC4lI4T+YmmhTWpIpZfz\nE2NWK2jaBtTlOlqNN7fF1zIVp3W944eb+cAl0G2HzbG2vFvxea50xKrNqAclmLmN+r8fAeHJ2EJo\nuWtFwl4u9qfilaAXgdS97tMqLhbxJkfKUrP8pUjYelHTBV0t40ms4lT4cD9t+K5+Uw/A1D5+CKbu\nScp/vA/9+QYeNvTwUlppWOWtz6Mw9Msp1et1NITs84cggyrgQBwtV5E0DwdpHhISDKPzRKzpSX3i\n+jZtHWxDbDD0ZZkXIt5giCuKZXlajd56kx8TZc4y65KvlP4ZW9VWmFnJeFqkrl3XsLkN7IdbvIVD\nwlJ5GrmnNPENAV0laZbG9z+OfyQtdT+iQ8eeWpGxVxaUSvvFJaiCDAbOPRjUlq8qDFVQVYZDcYRc\nhdFq9IRFxKFlbMll4TWatq50ub99kHEh4g2CrrJD6D9FyDH5xSQYE2fduGaoTCnCTT0IJsWsVvGk\nYVPWbCofOas49B+XPeevJidNSxLhV36ejFNWpVC9ZPNEPBxWLE9AxuGXcgNAERnQzObWSCV+1efh\n0EsR/ryMyCopEg6vR9v7izZMWi+KNDFfbBgi7orY2kltFhlbCAk4HnPaFZblnSJj638O82owXeOx\nZIncNU4RcvhgDK9plweqJ1+/mGdtvALhyATVZj7gVP7H0gzZcbjqtpoFaSaXFwG2NGmKVJqDI9mh\nwqpKvfKzCzb6OXVMxJYlHGbLcndBX3LDJChEvAHRVrFS1rAlTcRuCyFZ1GNOJyBLsC1vq0yzSBXT\nNLhcmLhnYBFw6C+1T2m+bVa8dc9EKuKSxmj1lmeV2kgc4fXMWsMVgYsqMhy6bXUVVu8fjSgskDeC\nB83NqiWHmoSFVUNumEb/naWn1HbcaiPzRCHiDYLUuNQYYeWOK1SsRbaRonUsJNRZZQArLylrPUfQ\nszagLrKG69a7Sc+3RCtRjKSt/kHVdNPDMsYWYNtogdCCbo5JJoxE/ypBoNYCaF66Ebsr09VHUZns\nYtwE9efrjAmNRiyRBSxjpBuWL4dcT82fz/W0cnF4WDPqzZuMy/C1DYIcEVvduGmIMtVljcl3GjK2\nSLUNVnpxXPNoPDnrNLaC4yWArCXhNeoxpCw/SxNN5Sssr2U95q1qred9kIqMoSHhBtoQt5cbwqf3\nSEYF9zmd27Q2j6XRg50ji/i+xucmgVUvJ+l1+OL2QcTFIt4gaOtCx428jSTbumwxAVkkOqtlbJFy\ninxj/6k0Y6u/az5yUkMdd9VQtwxgsKXZN5lnRAP15UkRcao7bpFvfE1SYcxy4S1jF1CGo4EbyziY\nPl6kkhxS3Sh3XqUiYIn033CzeNzIa9uxrvUldR+z1ygg4Xh5p3mgEPEGQZs0ES9FnprwB9KE1sUi\nto5PipRV3GYBW+4uVnEbAaTiGCNiL0lsGSXjmlCx3WEe2oi4zfKP44j9mWWrv6oYOqsYHTFUBfBD\n16jjEWDgGDpFxN4arhKu5zzuYAnH+fRR5+pjjLaHdm4f+rNIeL0QsYicDByNG8l4C/AaVf2h4e/V\nwIm4O/N+Vf1kPzmysZBVnBeBFGGIwAUXrIw10tQquHGXOCbwuDLHxCQC55+/0pona8tpcbljF1/c\nlM8f73ptJs3fYAAXXbSSXJV4y5Zxizi0oFSrEQOrzfW3VqEI783556+YqxPH9yn+4CG+Bua1qDRf\nbxGfd96KI+RhtAUkjdeJ6y6AoccMBmhwQx0By5gl7OtKV6u4y5arL+HCn5bfXDrWitTzQo+rOH9Q\nVX9VVZ8InAW8J/YgIg8C/hh4MnA48B4RWejadRuGiGNiCLcLLlgZ8RvrkBbxWl3mHELy88Q/6ebj\nyZ2z0vONyzofxxu7c2mmtosuWhlrlLVbqCfEqf8L1MsKYS/7nlsS/sILV5IPyNyD0yrfWPk9CVcR\nnHf+12vCTW8gIvU29hQNCl5LE8EY4ea/cOGF5yXr1iwPzVR9uPjilWQ9Sl2jHBnPC30Rsar+OPi7\nD84yjvE84GxVvUNVbwfOBp4/TTmmxYaRJgoKlgKRyUX3dYSQqPtEnxqxiPwJ8CrgduAZhpdHAD8I\n/v93dWxh2DAWcUHBUrCBSRgWV7z77++2WRCRc0TkymC7qtof5cqgf6iq+wGfAt5kRWEcW+iN3TCr\nOC87DwUFmxVzWMX5RmD/jt5vUdXtU6azH3CWqj4uOn4MsFNVX1/9/2vgXFU9fZp0psrbRiDigoKC\nAgsi8mhVvb5yvwl4mqr+VuTnQcAlwCE4leAS4NBKL14IikZcUFCwkfGnInIw7iXdfwHe6j0U+F1V\nfZ2q3iYi78MRsAInLZKEoVjEBQUFBUvHun9ZJyJvFZGrK3H+UyKyZ3DuYyJyVybsu0TkOhG5VkSe\nO0VaDxCRvxORy6vtsyKytxFuDxE5tQp3mYg8fcqydU1vq4j8QxXuWyLyzp7TO64q1+5qvyoij+8r\nvSrs40Xkoir8FeF976F8+4vIPVX5dovIx9vSmrV8Vfj9ROQuETmhz/RE5MnVffPbi7ukVzBHqOq6\n3YCHAzcAe1b/TwdeVbkPBT4J3JkI+8vAZTh55gDgeqoewiRpAfsGfv4ceIcR9njgE5X754BLpi1b\nx/SOBT5dubcB3wP26yu9KJ7HAtf3XL4twBXAY6v/D8rduzmktz9w5Tzq5iTXEzijCndCz9dzL2BQ\nubfjvkAbTFLess22rXuLGNco9xGRrcDewM0iMgA+BLw9E+5o4DRVvV9VbwSuAw6bNC2tBoyLiOBI\nz9J6HgN8DUBVbwVuF5EnTVO2julpFW5LFe5e4M4e0wtxLPCZDmnNkt5zgStU9WoAVb1NKxbpKT2w\nhzj1lp6IHA18F/hW3+mp6v+q+lX92Ib90UNBj1jXRKyqN+Oe8t/HDcK+XVW/CrwR+Lyq3kK6AU00\niDuTFiJyKvA/wC8CHzOCXwEcLSJbRORAnLX+81OWrUt6ZwD3VH5uBP5MW14+zJheiFfQgYhnTO/g\nyt+XReQSEck9cOdVvgNE5FIROVdEntpnepV88A7gJDo+AGYtn4gcJiJX4+rq6wNiLlgA1jURi8jP\n4Czb/XFds31E5JXAy4G/bAtuHEtaVUZa+4rIcQCq+lrgYcC1wDFG8FNxjeM/gA8DFwLZGVhnTO+w\nKv7twEHAH4jIAT2m5+M4DLhbVa/JpTWH9LYCR+Cs76cBLxER64upeaV3M07aORR4G/BpEdm3x/RO\nAk5R1Xt8dLm05pAeqvpNVX0sbr6Fd3fR3Avmh3VNxMCzgRtU9Uequgp8DleJHwVcLyLfA/YWke8Y\nYW9i1Cp9JK7BdU3rTODX/Mmqa/xZ4DfjgKq6qqonqOohqvoSnKZ53YRl65wecBzwZVUdVlLIhUCb\nFDJLeh7H0F2WmCW9m4DzKkniJ8CXcGNAe0lPVe9T1dsq926cZHBwj+U7HPigiNwA/D7wLhE5vsf0\nCPx9G7gbp/UXLAjrnYi/D+wQkb0qDexZuG74w1X1IFU9ELhHVa1G86/AMSKyZyUXPBr45oRpXSsi\nj4JagzsK+M84oIhs82+rReQ5wH2qOuZvXulVYZ9Z+dsH2JHwN6/0/PmXA6e1pDOP9L4CPL4KuxV4\nOtBmhc9y/x5cvXdARA7C1ZUb+kpPVY+s6u9BwEeAD6hq20iNWcp3QPU+ARHZH/eQubElvYI5Yl1/\n0KGq3xSRM3CjH+6r9n8be/MOcd+eH6qq71XVa0Tks7gGfB9wfO6Fj5HWbuBvgHNF5IG47uMVwBvi\ntICHAF8RkVWcRPHKKco2SXp/Bfx9pfmBG7FxNRnMmB7AkcAPqhefrZglPVW9XUQ+jBuAP8R9tvpv\nPZbvSOBkEbkPWMV9CNCmuc96PSfCjOk9FXiniPwf7nq+QVV/NE0+CqZD+aCjoKCgYMlY79JEQUFB\nwbpHIeKCgoKCJaMQcUFBQcGSUYi4oKCgYMkoRFxQUFCwZBQiLigoKFgyChEXZCFuSsvd4tYB+4KI\n/FTG7xNFZFh9tNI1/lPEmLtBRJ4uIl+cId/nyIKXRC8omBaFiAvacHf1afbjgNuA38v4PQY4HzcH\nRCvELVFzuKpekPAyyyD3T5LPa0HBmkEh4oJJcDH5ZcZfBrwGeF7HSWNeBnzZ/xGR54ubpP8SgjkR\nRGRvEfmEiHxD3AxoL6qObxOR08VNhn6miOwSET/nxBfp+EAoKFg2ChEXtEEAqrkInoWbo2Pck8gR\nuElnvgecC7ygQ9xHAJdW4R+A+yT3har6JNzMcR4nAl9T1cNxc2h8SES24Sbc/1E1a9gfEUz8U32C\nvGdldRcUrGkUIi5owzYR2Y2bz/YhwDkJf8fSTPhzOm4GuDY8DLi1cv8Sjsj9ZDr/FPh7Lm4uhMuA\nFWBPYD/cHAmnAajqt4Aro/hvxU0JWVCwprGuJ/0pWAjuUdVDRGQv3KxnbySaXLyameylwFEiciLu\nAf+zIrKPqt6difsnuGV62iDAS1V1ZOrQakax2F+Ivao0CgrWNIpFXNAGAbecDvAW3CTzWyI/zwEu\nV9X9q+kbDwD+BXhJS9zX4qaUBDc94wHipiSFUX33K8Cb6wyJPKFyXoBbEQQReQzjc+glpgBMAAAA\n60lEQVQ+lDKdY8E6QCHigjbUIxdU9XLgcqpVHirJgur/56JwZ1KRqYicJSLbGcdZwDOquO8FXgd8\nqXpZd0vg733AHuJWJ74SOLk6/nHgwdV0nyfj1ne7o0rzUGBXWfKnYD2gTINZsFSIyNeB31DVLoub\nxmEHwB6qem81YftXgYNV9X4R+QjwBVU9d85ZLiiYO4pGXLBsvA334i07cX0Ce+MmPt+j+v96VfVr\nAV5VSLhgvaBYxAUFBQVLRtGICwoKCpaMQsQFBQUFS0Yh4oKCgoIloxBxQUFBwZJRiLigoKBgyShE\nXFBQULBk/D8KXDQwVBcTlgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bd422d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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CNgGv63XWUdKehBUoV+duHQ2cX1Clyp8cTo6q8cD5ObDGdUj8wqnwLjXdEVlo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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c041710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resmap_erange([[emin,1.],\n",
" [1.,10.],\n",
" [10.,emax]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now you actually have an excess at the highest energies. In spite of the significant likelihood improvement the model is not quite perfect yet. Is there perhaps a new spectral component appearing at high energies? Test if the addition of a power-law spectral component with a hard index (2) improves things. To do this, add the hard spectral component to the exponentially-cutoff power law using a composite spectral model."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"expplaw2 = like.obs().models()['Crab'].spectral().clone() \n",
"newcomp = gammalib.GModelSpectralPlaw(1.e-18,-2.,gammalib.GEnergy(1,'TeV'))\n",
"comp_spec = gammalib.GModelSpectralComposite()\n",
"comp_spec.append(expplaw2)\n",
"comp_spec.append(newcomp)\n",
"like.obs().models()['Crab'].spectral(comp_spec)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's fit this new model to the data and check the likelihood improvement."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"305.864281181\n"
]
}
],
"source": [
"like.run()\n",
"like4 = like.opt().value()\n",
"ts = -2.0 * (like4 - like3)\n",
"print(ts)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The likelihood improvement is again significant, but is this the best possible model of the sky?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercises \n",
"\n",
"- Test other spectral models for the Crab nebula, such as log-parabola and broken power law. Can you say what the best spectral model is?\n",
"- What can you say from the residual maps about the spectrum of `Src1`? Try looking at the residuals below and above 300 GeV.\n",
"- Replace the 2 sources with a single extended source (disk). Can you say which of the two hypotheses is describing the data better?"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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