{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.8?urlpath=lab/tree/simulate_3d.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[simulate_3d.ipynb](../_static/notebooks/simulate_3d.ipynb) |\n", "[simulate_3d.py](../_static/notebooks/simulate_3d.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D simulation and fitting\n", "\n", "This tutorial shows how to do a 3D map-based simulation and fit.\n", "\n", "For a tutorial on how to do a 3D map analyse of existing data, see the `analysis_3d` tutorial.\n", "\n", "This can be useful to do a performance / sensitivity study, or to evaluate the capabilities of Gammapy or a given analysis method. Note that is is a binned simulation as is e.g. done also in Sherpa for Chandra, not an event sampling and anbinned analysis as is done e.g. in the Fermi ST or ctools." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports and versions" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord, Angle\n", "from gammapy.irf import (\n", " EffectiveAreaTable2D,\n", " EnergyDispersion2D,\n", " EnergyDependentMultiGaussPSF,\n", " Background3D,\n", ")\n", "from gammapy.maps import WcsGeom, MapAxis, WcsNDMap, Map\n", "from gammapy.spectrum.models import PowerLaw\n", "from gammapy.image.models import SkyGaussian\n", "from gammapy.cube.models import SkyModel, SkyModels\n", "from gammapy.cube import MapFit, MapEvaluator, PSFKernel\n", "from gammapy.cube import make_map_exposure_true_energy, make_map_background_irf" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", "Gammapy package:\r\n", "\r\n", "\tpath : /Users/jer/git/gammapy/gammapy \r\n", "\tversion : 0.8 \r\n", "\r\n" ] } ], "source": [ "!gammapy info --no-envvar --no-dependencies --no-system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def get_irfs():\n", " \"\"\"Load CTA IRFs\"\"\"\n", " filename = \"$GAMMAPY_DATA/cta-1dc/caldb/data/cta/1dc/bcf/South_z20_50h/irf_file.fits\"\n", " psf = EnergyDependentMultiGaussPSF.read(\n", " filename, hdu=\"POINT SPREAD FUNCTION\"\n", " )\n", " aeff = EffectiveAreaTable2D.read(filename, hdu=\"EFFECTIVE AREA\")\n", " edisp = EnergyDispersion2D.read(filename, hdu=\"ENERGY DISPERSION\")\n", " bkg = Background3D.read(filename, hdu=\"BACKGROUND\")\n", " return dict(psf=psf, aeff=aeff, edisp=edisp, bkg=bkg)\n", "\n", "\n", "irfs = get_irfs()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "spatial_model = SkyGaussian\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t----- --------- ----- ---- --- ---\n", "\tlon_0 2.000e-01 nan deg nan nan\n", "\tlat_0 1.000e-01 nan deg nan nan\n", "\tsigma 3.000e-01 nan deg nan nan\n", "\n", "spectral_model = PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t--------- --------- ----- --------------- --------- ---\n", "\t index 3.000e+00 nan nan nan\n", "\tamplitude 1.000e-11 nan 1 / (cm2 s TeV) nan nan\n", "\treference 1.000e+00 nan TeV 0.000e+00 nan\n", "\n" ] } ], "source": [ "# Define sky model to simulate the data\n", "spatial_model = SkyGaussian(lon_0=\"0.2 deg\", lat_0=\"0.1 deg\", sigma=\"0.3 deg\")\n", "spectral_model = PowerLaw(\n", " index=3, amplitude=\"1e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "sky_model = SkyModel(\n", " spatial_model=spatial_model, spectral_model=spectral_model\n", ")\n", "print(sky_model)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define map geometry\n", "axis = MapAxis.from_edges(\n", " np.logspace(-1., 1., 10), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(0, 0), binsz=0.02, width=(5, 4), coordsys=\"GAL\", axes=[axis]\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Define some observation parameters\n", "# Here we just have a single observation,\n", "# we are not simulating many pointings / observations\n", "pointing = SkyCoord(1, 0.5, unit=\"deg\", frame=\"galactic\")\n", "livetime = 1 * u.hour\n", "offset_max = 2 * u.deg\n", "offset = Angle(\"2 deg\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "exposure = make_map_exposure_true_energy(\n", " pointing=pointing, livetime=livetime, aeff=irfs[\"aeff\"], geom=geom\n", ")\n", "exposure.slice_by_idx({\"energy\": 3}).plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "background = make_map_background_irf(\n", " pointing=pointing, livetime=livetime, bkg=irfs[\"bkg\"], geom=geom\n", ")\n", "background.slice_by_idx({\"energy\": 3}).plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAR0AAAEJCAYAAACpLfP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAGvFJREFUeJzt3X+0XWV95/H3hwAJSUB+oxIRFJQFLSLyWzvDwl/Buoo/YIo6KIraacFOcc1Y0JkumHaWTNVxbFHpaiumtB0QdSwFKzpQdKzKDyMIiEgKoYZfQSESiCSQfOeP/Vw4pHd/78m+dz/n5tzPa62zcs7+7rPPs885+d599nc/z6OIwMyslm1G3QAzm1ucdMysKicdM6vKScfMqnLSMbOqnHTMrConna2MpItH3YYa5sp+wtzaVwD5Op2ti6THI2LRqNvRt7mynzC39hV8pGNmlc2ZIx1Jc2NHzUYoIjTVOtvWaIjNjD4OS7Nt1n696dhUeZu1X2+c+OeVmVXlpGNmVTnpmFlVTjpmVpWTjplV5erVLNNHNanrNvuIjULXKlQfsa7GqbI1274fZjbmnHTMrConHTOryknHzKpy0jGzqpx0zKwql8x7Uru8nX2QXZ/XdZujKKf3Ud5+qmOs6zb7MBtL7T7SMbOqnHTMrConHTOryknHzKpy0jGzqpx0zKwql8ynoY+yeNcSdhbbvofnZbGu+zcdXUvYGzrGstfLnpe9N32U6LPXG1U53Uc6ZlaVk46ZVeWkY2ZVOemYWVVOOmZWlZOOmVXlkvkUumblrj20u5aps9iCyrFs3+d1jAFs7BjLys1PVI51LdFnuvZqH1U53Uc6ZlaVk46ZVeWkY2ZVOemYWVVOOmZWlZOOmVXlkvk0dB2AvGvpe2HH2OKOz1uUxLqW07dLYlP9BczKuE8msa7l7ceT2Lok9ljH53XVtVe7e5mb2ZzgpGNmVTnpmFlVTjpmVpWTjplV5aRjZlW5ZE4/84f3URbfaRbFsjJ8VjLvOqA7dB9gPSuLZ+XtRzvGug6EX1vXedWnW2r3kY6ZVeWkY2ZVOemYWVVVk46kpZLukLRC0tll2cGSvitpmaRtyrKTJd0maZOkwzfbxjnl+XdIev3A8pU198XMuqmWdCTNAz4NnAAcBLxN0kHAB4HfAG4EXldWvxV4C/CtzbZxEHAKcDCwFPhM2a6ZbSVqHukcCayIiLsiYgNwCXAizdC4QXNSXAARcXtE3DHJNk4ELomI9RFxN7CibBfgob53wMymr2YFb2/gpwOPVwFHAZ8CrgTuBC4cYhvf22wbewNExBFTNaAtw9YumXcti++cxHbtGNsliyU7v1PS0IXJDi5I6uma4k9gJLXaJ5K6+Lqka/ejSe37keT1ss9wOpcFzLSsvD3TvcyH3V7NpKNJlkVE/IAm+XTeRvcmmVltNRPvKuAFA4+XAPf1uQ1JF0t6XFI2NIqZzZCJ/2/ldvFk69RMOjcAB0jaT9L2NCeEL9/CbVwOnCJpvqT9gAOA69tWjohTI2JRRGTjUZnZDJn4/1Zup062TrWkExFPAWcCVwG3A1+IiNsmW1fSmyWtAo4BrpR0VdnGbcAXgB8BXwPOiIhsnjUzm2UUMTdOiUiKmT6R3HVWTZ9IntzWdCL5kfYQD3eMrUliWV+vbAjUrrONdjkBvQmIiMnOuz6Lr0g2s6pmU6fXWSl7g2qXzLMjlt2S2F5JbM/kBXffvT22c3LYlR0FZUc620zxJ3BTxyOd7GhmTXJ4sfhn7bH5yTan/FPfouuc5F1jXXvtT5ePdMysKicdM6vKScfMqnLSMbOqnHTMrConHTOryiVz6l8cmA1q3rVknpXFn5888bnP7RbLyum7Jq+3KNn57ab4Nj6Z1H8fT0ZYfzi5Iu9nSVk8K+9v+0B7LLsCMLsUNytTd411Laf3OQe6j3TMrConHTOryknHzKpy0jGzqoZKOpJeKOk15f4Oknbst1lmNq6mTDqS3gd8EfizsmgJ8JU+G2Vm42uYkvkZNDMuXAcQEXdK2rPXVvWky3g6XXuZ9zGeTjb2TdZbPCt977NPe2zvJe2xJUmM5z6vPbbzc9pj289PNgrzN6xvjS1e84vW2F4P3N8aW7UqaU52TUTiqaQWvT7pnZ6Ni9M1lo2nk31/u5TThy2lD/Pzan2ZMgYASdviwdDNrKNhks43JX0Y2EHSa4HLgL/vt1lmNq6GSTpn00xkdwvwW8BXgf/SZ6PMbHxNeU4nIjYBf15uZmbT0pp0JN1Ccu4mIg7ppUVmNtayI503ln/PKP9OTJz1DvIT5mZmrVqTTkTcAyDplRHxyoHQ2ZL+CfhvfTdups10ybxrL/Ns5r+0ZJ40NOv1nZXM07L4S5KW7r9/e2zffdtje+7RHluwQ3sM4IlftsdWP9QeW7myNbRk4YrkBdsnht2QdO3OBol/LOkNvzapOa9tD5FsMv2OZr3Tu468MIxhnr9I0qsmHkg6lvz/jZlZq2EuDjwd+Jykiau61gDv6a9JZjbOhqlefR94maSdaGYEbb/008xsClMmHUl/sNljACJiqzunY2ajN8zPq8GzaQtoqlq399McMxt3w/y8+sTgY0kfBy7vrUVmNta6DMy+EHjRTDdklGoPzN550Paknp7NLZ6V09Pe4llZ/JDk2tAXvzTZ6N5JbIqSOUnJfO9722PZG5dYsu7m1tjajvOjZ01ZnDyv6/cp+472WRbPDHNOZ/DK5HnAHsAf9tgmMxtjwxzpvHHg/lPAgxGRDbdhZtZqmKOoP4qIe8rt3oh4StLFUz/NzOxfGybpHDz4oAzi9Yp+mmNm46416Ug6R9Ja4BBJj5bbWuBB4O+qtdDMxkpr0omIj0bEjsDHImKnctsxInaLiHMqttHMxkg2ns6BEfFj4DJJh20ej4jlvbasoq6lw66907uWPxcmI7pnpdhsbvF0EPWst3haFv/VJJbV6KdRMs9men9x8rRHk9r36tXtr5YM9p59FtlnuKBjyTz7rvXx3Z6urL0fBN4PfGKSWADH99IiMxtr2Xg67y93T4iIZ40QIilLvGZmrYY5ivrOkMvMzKaUndN5Ls016ztIejmgEtqJfL44M7NW2Tmd1wOn0Zz5+58Dy9cCH+6xTWY2xrJzOsuAZZLeGhFfqtgmMxtjwwxt8SVJv05zZfKCgeVb3SBeXcqAXcvi85LYdkks7bmenL7PYouyruvZ3OLZIOppb/GsLJ5Mnj6tknnm4fbQnivbY8l7s2hxe8m86+eUffbZdyb7rnUtp2d6H5hd0oXAbwIfoDmvczLwwmm+rpnNUcMkrWMj4p3AIxFxHnAM8IJ+m2Vm42qYpDNxTLtO0vOBJ4H9+muSmY2zYcbTuULSzsDHgOU0VyN7XnMz62SYE8kTowR+SdIVNCeTD+y1VWY2trboRHRErC/zXl3WU3ueRdJSSXdIWiHp7LJsP0nXSbpT0qWSti/Lz5V0Wo12mVl3XQZmh2euTu6NpHnAp4HXAquAGyRdDpwLfDIiLimVtdOBz/bdni2VlTG79u5VEtwmiW2XTsg+vz2Wzi3eR2w6s1V3fM1sH5P3JntPs88i/QzbQ2ks+67NRl1L7jH1KtN2JLAiIu6KiA3AJcCJNL3bv1jWWQa8qdx/jO4XcphZJVnfq79n8uQiYLfeWvSMvYGfDjxeBRwFrBkYGH5VWY+I+HiFNpnZNGUH3tl/4hr/wSf7CTfZkWSNoy4zmyFZ36tv1mzIJFbx7IsQlwD/AuwsadtytLMEuK9tA2XWirf02koze5qkwWnIvxwRp26+Tp+jEk7XDcABpVq1PXAKzXTG/wicVNZ5F8kg8RFxakQsiojpnKE0syFN/H8rt3+VcGAWJ51yJHMmcBVwO/CFiLgN+H3gg5JW0Jxb+svRtdLMtlTXknkVEfFV4KubLbuLprJlZluhYeYy/wZwckSsKY93AS6JiNf33bit2cYktqljLJLgpiT2ZDIJ9PwN69uDT2RXIPQRm0oPr5ntY/LeZO9p9lmkn2F7KI1l37XZaJifV7tPJByAiHgE2LO/JpnZOBsm6WyS9PTIS5JeiMvUZtbRMOd0PgJ8W9JECf3f0MyHZWa2xYbpZf61MsPn0TQX7J0VET/rvWVmNpZaf15JOrD8exjNwLb3AfcC+0w2zbCZ2TA8rbCZVTWnphXOyo5dnpNUTdMy5pNJbEMSe+KJbrHHH2uPLV7zi/bg6ofaY3vf2x5j1ySWmc5sEKuSWNLWbB+T9yZ7T7t+Ttlnn31nsu9a9h3t8v9hOs+b4GmFzawqTytsZlUNO63wJ3gm6TyKpxU2s448rbCZVTXMOZ1XlClogKbvlaQ/6rFNZjbGhkk6J0zS9+oN/TXJzMbZMN0g5kmaHxHrASTtACRTCGx9uvbu7VpOT6qmaWzduvbYo4+2xx5+uD221wP3twdXrmyP7bRTe+zF7SFIGjOtknlSFv/nO9pj2T4m7032nmafRfYZdv1edC2Ld41N1zBJ56+BqyVdRHNR4HtoZmEwM9tiw/S9+mNJtwCvpqlg/WFEXNV7y8xsLA01cmBE/APwDz23xczmgClPJEs6WtINkh6TtEHSRknJr1Yzs3bDVK8uAN4G3Elzpu+9wJ/22SgzG1/D/rxaIWleRGwELpLkvldm1skwSWddmXfqJkl/DNzP9Ga6n3W6lg7THuEdY0nn5bQUu2ZNe+xnyZBrq5LO2UsWrkhak8gauufK9tiCKUrm2SDqWW/xrCy+on0fs/cme0+zzyJ7a7LPvuv3KfuOjqpkPszPq1NppvM9E3icZtbNt/bYJjMbY8OUzO8pd38JnNdvc8xs3GVDW9xCMutDRBzSS4vMbKxlRzpvrNYKM5szsqEt7mmLmZl15YsDzayqYUrmFwCnAJcBhwPvBPbvs1F9aSsDdu0t3rVk/ngSy7L5I0lDFycl3AXJMPrbb5+8YNLSJetubn/a6tXtsZ2fkzRmisELsnnXswHmk97iWVn83iT2wAPtsaycnn2G2WeffWe6lsz76J0+DF8caGZV+eJAM6tq2IsDt8EXB5rZDNiSiwOfwBcHmtk0ZXOZnyjpjIHH10m6q9xOqtM8Mxs32c+rDwGXDzyeDxwBHAf8do9tMrMxlv282j4ifjrw+NsR8XPg55K2yhPJM10y7zr4ejI2d1o2zaZVnZ88cdukvJvZkNRb1yavt2tSol60uD223RQ/9p9M3vBsbvFsEPWsvJ2VxbPY6uS9eaQ9lH722Xem66DtoyqZZ0c6uww+iIgzBx7uMc3XNbM5Kks610l63+YLJf0WcH1/TTKzcZYd0J4FfEXS24HlZdkraM7tvKnvhpnZeMo6fK4GjpV0PHBwWXxlRFxTpWVmNpaGuU7nGsCJxsxmxDBXJJuZzZihOnyOu9oDs2cDcGedvrOYklg2ffhTSd30iWQnssHHs2nOsx7v20zxJ3BT8mFkbe1jQPusLP5geyidyT0rmXcdtH1rHZjdzGzGOOmYWVVOOmZWlZOOmVXlpGNmVTnpmFlVLplPIeuJm2XsrFSZ9RjOPpCufyFaZ0wE1mdzayd12qwsvjDpDp+VzDXFDkbHkvm65A3PyunZIOpZb/GsLN61ZJ59Z7oOvp7F+lTtSEeNP5G0QtIPJR02EDtL0nJJvzmw7HOSVku6dbPt7CrpG5LuLP/uUpafJuncWvtjZt3U/Hl1AnBAub0f+CyApMU0g4MdCbx9YP3PA0sn2c7ZwNURcQBwdXlsZluJmknnROCvovE9YGdJz+OZi2mf9SsgIr7F5EejJwLLyv1lPNPj/ZfkF26a2SxQ85zO3sDgSISrgL0j4kZJtwA3Ah8bYjt7RcT9ABFxv6Q9y/1LZ7rBZjbzaiadyboHBUBEfBT4aMW2mNmI9PrzStIZkm6SdBNwH82cWROWlGVb6sHys4zyb+sctpIulvS4pGxWVjObIRP/38rt4knXicgKqjPamF+nmbDvDcBRwJ9ExJFTPGdf4IqI+JWBZR8Dfh4R50s6G9g1Ij40xOu37miWebNYOqp9x1g2+HpSpa4eW5zEkqp4uu9T/QWs3eM/K2HXjnUtmdeeyzwi0gEPoO6J5K8CdwErgD8HfidbWdL/Br4LvFTSKkmnl9D5wGsl3Qm8tjw2s61EtSOdUfORzszGfKRTN+YjHTOzjpx0zKwqJx0zq8pJx8yqci9zug9CPapeupPJ2tK1x/vaJJadLM5i2yWx6ZxIfjKJZSeSs1h2cVf2vmUnp7PnbS0ni6fLRzpmVpWTjplV5aRjZlU56ZhZVU46ZlaVk46ZVeWS+TT0MQd6V32UzLPSb1YWz75U8zrGADZ2jGXvTddyetdY19L3bJyTvCsf6ZhZVU46ZlaVk46ZVeWkY2ZVOemYWVVOOmZWlUvmU8hKjlnG7joHete2dJ2zOivvdh1ytesQr9PRtTd1H723+5hbvOv+ZUZVTveRjplV5aRjZlU56ZhZVU46ZlaVk46ZVeWkY2ZVuWQ+DV3L6V1L3117E2fbzL4AWem366yoff2V6/re9HEZQu3PN+Ne5mY25znpmFlVTjpmVpWTjplV5aRjZlU56ZhZVS6Z96R2qbJrebtrb/hRlMW76qOcXru8PRtL313Ntu+HmY05Jx0zq8pJx8yqctIxs6qcdMysKicdM6vKJfNZpo/SaNfe8H38RRpFL/M+tln79caJj3TMrConHTOryknHzKpy0jGzqpx0zKyqOVW9Ouyww0bdhGnp4y+EKr/euFSvovLrbQ2WL18+1HqK6OPtm30kzY0dNRuhiMj+jgFzKOmMC0mPR8SiUbejb3NlP2Fu7Sv4nI6ZVeakY2ZVOelsfb486gZUMlf2E+bWvjrpjJqkpZLukLRC0tll2cGSvitpmaRtyrKTJd0GvEPS4Ztt45zy/DskvX5g+cqa+9JFy/7vB7xE0p2SLpW0fVl+rqTTRtneCZIWSLpe0s2SbpN0Xln+eUl3S7qp3A4ty3eR9H8k/bA871cGNnelpOWSfm9g+9eW92ViO3uW5fPLe7JC0nWS9i3Lj5P0+Vr7Px1OOiMkaR7waeAE4CDgbZIOAj4I/AZwI/C6svqtwFuAb222jYOAU4CDgaXAZ8p2Z71k//8H8MmIOAB4BDh9dK1stR44PiJeBhwKLJV0dIn954g4tNxuKss+DNwUEYcA7wQ+NbCtU4AjgKMlLR5Y/o6B7awuy04HHomI/YFP0rxXWxUnndE6ElgREXdFxAbgEuBEYB7NpSCbKJfSRMTtEXHHJNs4EbgkItZHxN3AirJdgIf63oFpatv/44EvlnWWAW8q9x8Dflm9lZOIxmPl4XbllpWCDwKuLs/9MbCvpL1KbKLMHOSXTkHz/iwr978IvFqSaMbm/8UW7cSIOOmM1t7ATwceryrLPgVcCRwDfL3jNoiII2aspf1oa/uaiHhqs2VExMcj4tK6TWwnaZ6km4DVwDci4roS+u/lZ9QnJc0vy26mOVJF0pHAC4ElJfZlmqPaGyNi7cBLXFR+Wv3Xklhg4D0r79EvgN0i4jsR8R972tUZ5aQzWpP9VYuI+EFEHBUR/z4iNnbZxgy0rYbJ2j7ZT8NZuT8RsTEiDqVJHkeW8zTnAAfS/FzaFfj9svr5wC4lSX0A+AFlBqCIWBYRL4+ITwxs/h0R8avAr5XbqWX51vx5A046o7YKeMHA4yXAfSPYxqhM1vZ/AXaWtO3Aslm9PxGxBrgWWBoR95efXuuBiyg/dSPi0Yh4d0lS7wT2AO5Otnlv+Xct8Lc885P56fesvEfPAR7uY7/64qQzWjcAB0jar1RoTgEu38JtXA6cUqoa+wEHANfPcDv70rb//wicVNZ5F/B3I2pfK0l7SNq53N8BeA3wY0nPK8tEcy7q1vJ454kqHPBe4FsR8WjLtreVtHu5vx3wxont0Lw/7yr3TwKuia2tW0FE+DbCG/AG4CfAPwMfSdZ7M81fufXAg8BVA7GPlOffAZww6n2a7v4DL6JJnCuAy4D5o27nJO0+hOYn0g9pEsIflOXXALeUZX8NLC7LjwHuBH5Mcw5nl2Tbi4Dvl23fRnOOb16JLSjvyYryHr1o1O/Flt7c98rMqvLPKzOryknHzKpy0jGzqpx0zKwqJx0zq8pJx8yqctKZAyTtJelvJd0l6ftl2Iw3T/GcfSXdmq2TPPc0Sc8fePwXpff4MM89TtIVXV53WJK+U/7dV9LbOzz/NEkXzHzL5gYnnTFXroz9Cs0VsC+KiFfQXPm7JH/mtJwGPJ10IuK9EfGjHl9vi0TEseXuvsAWJx2bHied8Xc8sCEiLpxYEBH3RMSfwtN/7f9fGURquaRjN99Ato6kD0m6pQxmdb6kk4DDgb8pPaR3KANSHV7WX1q2cbOkq4fdCUmvlvSD8lqfm+i9LWmlpPPKNm+RdGBZvoekb5TlfybpnoGuBRNDUpwP/Fpp51mbH8FIukLSceX+uyX9RNI3gVcOrLOHpC9JuqHcno5Zi1FfEu1bvzfgd2kGxGqLLwQWlPsH0AyvAM1RwK1TrHMC8B1gYXm8a/n3WuDwgde4liYR7UEzLMN+g+tv1p7jgCs2W7agPO8l5fFfAb9X7q8EPlDu/w7wF+X+BcA55f5Smp7Yu5fHj032WjRHaBcMPL6irPM8mo6oewDbA/80sR5NZ8xXlfv7ALeP+jOf7bc5NdmegaRPA6+iOfo5gmbwqQvUDKu5EXjJJE9rW+c1wEURsQ4gIqbq7Xw0zc+8u4dcf8JLgbsj4ifl8TLgDOB/lccTYwx/nzJmTdnHN5fX+ZqkR4Z8rckcBVwbEQ8BSLqUZ78HBz0z3A07Sdoxnj0ujg1w0hl/twFvnXgQEWeUnxk3lkVn0XQgfRnNz+0nJtlG2zpiy8Zy2dL1B5+XWV/+3cgz3+kpJ32bxFM8+5TDgoH7be3eBjgmImbFiIZbA5/TGX/XAAsk/fbAsoUD958D3B8Rm2gGippsEK22db4OvEfSQgBJu5bla4EdJ9nOd4F/W4bgGFx/KhPDe+5fHp8KfHOK53wb+HfldV4H7DLJOpu3cyVwqKRtJL2AZ8awuQ44TtJuZaiJkwee83XgzIkH5WjQEk46Yy6akw1vovnPfrek62l+nkyMaPcZ4F2Svkfzk+HxSTYz6ToR8TWa8V1uLCPi/aey/ueBCydOJA+05SHg/cCXJd0MtA09+mpJqyZuwMuBdwOXSbqFZuzoC1ueO+E84HWSltOce7qfJskM+iHwVDmpfRbNuZq7aYam+DiwvLT7fuBcmqT5fyeWF78LHK5meNIfAf9hinbNeR7awsZSqW5tjIinJB0DfDaaUftsxHxOx8bVPsAX1MwbtgF434jbY4WPdMysKp/TMbOqnHTMrConHTOryknHzKpy0jGzqpx0zKyq/w/SEjGfogqGVwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "psf = irfs[\"psf\"].to_energy_dependent_table_psf(theta=offset)\n", "psf_kernel = PSFKernel.from_table_psf(psf, geom, max_radius=0.3 * u.deg)\n", "psf_kernel.psf_kernel_map.sum_over_axes().plot(stretch=\"log\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "edisp = irfs[\"edisp\"].to_energy_dispersion(offset=offset)\n", "edisp.plot_matrix();" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 9 µs, sys: 3 µs, total: 12 µs\n", "Wall time: 15 µs\n" ] } ], "source": [ "%%time\n", "# The idea is that we have this class that can compute `npred`\n", "# maps, i.e. \"predicted counts per pixel\" given the model and\n", "# the observation infos: exposure, background, PSF and EDISP\n", "evaluator = MapEvaluator(\n", " model=sky_model, exposure=exposure, background=background, psf=psf_kernel\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Accessing and saving a lot of the following maps is for debugging.\n", "# Just for a simulation one doesn't need to store all these things.\n", "# dnde = evaluator.compute_dnde()\n", "# flux = evaluator.compute_flux()\n", "npred = evaluator.compute_npred()\n", "npred_map = WcsNDMap(geom, npred)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEHCAYAAABGNUbLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJztvXu8LFdZ5/19el/OOdyRRAgkGNSMCIxCiBBkXocBlcD4EkdgjJdAEGV0QAV1NMH3w83XjzfEQYNmwkVCULlGiQgigogMkHASAwECEgUkrxlCuIYk5+zdu5/3j1qre/Xaq6rWqlrVXb27fp9P7a5at1pV3fv3POu3bqKqDBgwYMCA9cJo2RUYMGDAgAGLx0D+AwYMGLCGGMh/wIABA9YQA/kPGDBgwBpiIP8BAwYMWEMM5D9gwIABa4iFkr+InCIifyci14nIx0Tk5034vUXk3SLyFhG5kwk7JCKvF5HrReQKETnVKecCE/5JEXmsE/6ZRT7PgAEDBqwqNhd8vzHwi6p6tYjcGbhKRN4JPAX4WeCbgR8HLgKeDnxZVb9VRM4Bfgv4YRF5AHAO8EDg3sDfisi/U9W9BT/LgAEDBqwsFur5q+qNqnq1Ob8FuA64D7ABTMwhJvnZwCXm/E3AY0RETPjrVPW4qn4auB54mEn3hYU8SAVE5NJl16ELDM+1OjiIzwQH97mWBVnWDF8j47wXeBBwd+BS4KvAj6rqLSLyUeAsVb3BpP9n4OHAC4APquprTfgrgber6psW/QwhiMitqnrHZdcjN4bnWh0cxGeC1Xqus846S2+++eaotFddddU7VPWsjqu0D4uWfQAwuv6bgWer6teArwHf4ycLZNWK8EpceKJc4F5vVLR5RiVxZeFu/Ai2XnnK/L1i88emaZO+KTZg69JvCT9Xbkwm+dOXpbHfV10ZZfFV+fZK4jQQnlJ+XdgItn7njsUzTSZFPdSc2+a11UiVWRgm3A2ru6akrJRycMKrDmDr20Uu8MJC6abhdeclcR/8surf0QI333wzR49eGZVWZOOENvdqDFVd6AFsAe8AfqEm3TuAR5jzTeBmCuK/ALgglC5QxqXArebQ4RiO4RiOhONW57g0hece+tDTVXU36gCOLpqHVXWxnr/R7F8JXKeqL6lJfjnwVOADwJOAd6uqisjlwJ+KyEsoOnxPA4ImVlXPBc4199Y/OCGvxx/TEqhDrOeey8OXBQ/uDXm5TRHbImjTEmga14cWQFka1/ufhlHugcd6+3Vhsdc4YalHWV6cuLpz//qZ/+N/8Gu/8zu0l5gy/vg7wKJln0dSkPG1InKNCXuuqr4tkPaVwKUicj3wJYoRPqjqx0TkDcDHKUYPPTN2pE9fiH9RhL9ook+pQxOj4L6PKrK16erSlEpBDeKq8myMyg1AqBzYX1ZV+VV53Xe2R/l797+mPS/Mve6C0nL/VFPrOHLy5KvLQP5TqOr7CGv2obTHgCeXxP068Os56tSEpLsm/jak3wfCj4FbzzaGoCnB18VXlZ/LAMioXcsoth6+ARjBHC+5HngZNqg2CGVhMddE3L8pfFL3Cb47enbbU/3EUjp8+4LcxL8s0l8Vwi9DG0NQZwTqWgsx+ZdhAELlxIbV1cPG+wYAFuvth9D0p9w/mlUKYaK/WFvy75PMk0r6q072VWhqCLqWekJlp4bDYg1AqE5QLf/M1ZV0Tz4mTVWepiQe+pco8/jde1TFtUf/TJKLtSX/AQMGDOgOg+zTSyzK688p9Rxkb78M/jPHeKtRcgfNpZIcElAX3n9Mfeu0/7nw/VEDktHvN7h25J+L+Bcx2gfWk/TLYN9FnRFoIwEtsg/AR4oB6OL+0EzqqesviLkuC2uLmEcPdQQv7u7Lw1qRf4h0FznaZyD9PEg1ApBOjDlH+4TCU4Z/ltUvpa/BTwNh77/fdNUc3Wr7IfS/w3egmBI0He3TlvhlNBB/LFLeVdX30oUDEJM+NO+k7JlSHZfYdGKef8Ts2KAYj51y3SSPe10WluNYDtzpbHVHHERkQ0T+UUTeGogrXQK/DGtNMzmlnrYyz0D6zRH77nJ/fzlakmUTD2MNQOx9/PjRqHrS40HEyDv3ry2iJiJFIS/5Az9PsRJyCNMl8IHfo1gCvxJr9vXPsAjir/MqLQbSz4NYA5D7O257jxQD0LReoWtrAKbev9MCyOG5x17Xldtf774O+chfRE4G/jPwipIkZUvgl6K/761D5Oz0bSoLWG91IP68aNsKyCkBpUpDMehK/ll19M84ZJd9/ifwyxUZ7gN8DkBVxxTL49+jqsAD/HMIYxGjfWKIf0C36LMB6KP8Y43mMrz/mHJzwS9rVBHXHtHkf4KIHHWOZ7iliMgPADep6lUVN0te6n4Y7ZPxH70urq+kn1P7bTOCJTdiZgs3GfKZY7RPygigmDWAmo79XxU0/Yku71GTRvvcrKpnVMQ/EniCiDweOAzcRUReq6o/7qS5ATgFuEFENoG7UiyIWYqe0tHykVMCgn4Q/8YofHR9jz6g6v03ke9yjPYpawGUjQKKKa9O6y/LY+/b1PvPNdInN5Yr/eSRfVT1AlU9WVVPpVjd+N0e8cNsCXxwlsCvKnetPH8fi5CAYHnE3xfiDdVjGS2EOg+6K4++KzT19vvs/bs/lZRJXymPM/LSu9f5/mW6X95BRF5EsRHM5ZQsgV+FtSX/rrRbF8sg/b4Qfh3cei7SENRNEMtlACDOMJSV22YJ6FRy93/HZcs+1xFz7KzeLr7umJ/94u1d/juq6nuA95jz5znhpUvgl2FFqCIvDiLx90liScUy6l4nA3UVnvJbinknTTt/lznyp076CV3nuu/ikH+SV26srec/YMCAAd2ip9qawdqR/0Hz+lfV2w9h0VJQlYySIt2khrfpK1g16SfX6jYpP/OYx7bluVq/Pc/T8dz/tX3WjvxT0EfiP0hkXwX7nF0bgSadwIvsMI3R/vvc8evLNnUrgkZtxl2Dqn+Rxfrig+ffG6SQ+UD8/cAiWgO5DEBX3n/MCqC5jJT7G4/1/nMiZknpNj+Drjqc92PYzKXXWBXiX0fSD6HtMshV6IsByFXfMnTh/TcZ9ZPzfiHEPpJrDPIbhoH8e4lck3egO+IfSH8/upSDmhBqylDP2PJCeWO9fz9vbu8/l6cfYzBylm8xyD4zrC35p6DMIAze/vLQVSugrhO4jZfctqXgYxnef5ksQyCsrY7fhfTjd/R2h/53+K4lxeSQe7r09gfij0NX7yp1DkBX4/x9xD5rn8b0QzcLt40qjiZlhc7bYRjn3zv0nfgHpKOLVkDVTODcHnwZFu39wywsteMX2vm5VS2KVPRD8lnOHVOwduQfi4H4Vwtd9QW02VS9DG06f2MNXR+HdTYxDmXlNXmU0L9Yt69kIP/eoE2Tuyv0mfTr3k0fFwfrckRQHboY6dOl9x9zbwvX+296q9gx/1F1Kwnvz09yGOrZa6SO+Mnp9feF9NsYv7K8yzYKuQ1AivffRv5ZtPff1Ci5Hbllo3aavP6Q9JPaWmjq3bt1zruHb3+x1uQfwkEm/kW1cvz7LMMYLNMAxGIVvP+mKDMQqWQeai00rYvF4iZ59Xu0z9qSfwoRrjLxL1vWCtVhkUsjWOQwBCnr6kBDr7okr49cxq3O+6/r+M1F5imthbaSz+KMQY+scQA9oIbFI+cErxQskvhHo34Qfwi2bousX653n7Knbszzxb6DmHShzeu7HvZZtSxzKnLkd4/lYhjqOWDAgAFrisHzXwl0rfUvyuvvs8cfwiLr2+V3kNODj023yN9Uo3zsn9DVJn+T+6e0BPK+znyev4gcFpErReTDIvIxEXlhIM15IvIFEbnGHD9ZV+7aef7L0PoX8U+6SoQfglv/LvsEcmjlKZ2rOUf5NO1czjHqx34/bdf6CY3ogbi+A78TOfVVuPdcjE+e7S7HgUer6tdFZAt4n4i8XVU/6KV7vao+K7bQtSN/HweJNA8K2iyMFoOuDEBuEm9K9osc+WPJHPKO6kkxBi760+mbb7SPqirwdXO5ZQ5tW+4BpI5yHDSv/yASv4suJaEc6wLF/ka67Pjtq/QTWsunaf4U9KfDF3J2+IrIhohcA9wEvFNVrwgke6KIfERE3iQip9SV2Y93tCSs4uieZYyUWTbcZ8793Lm/o2Vo/yGkjvoJvdvQ9YYZUTQaNSfmVGPQtN+gyeiffD+HJM3/BBE56hzP2Fea6p6qPhg4GXiYiDzIS/KXwKmq+h3A3wKX1NVw7WWfEHJ4/V0R/4D8slAbGSjnnrpNZZ6lLmnhnKdq8U10f9jfb9Dkfj3T/G9W1TNiEqrqV0TkPcBZwEed8C86yV4O/FZdWWtLJ12O7hmIfzHI2Rpo852FvOycUk+ufItC01E6vlSUcr82rYJukHW0z4kicjdzfgT4XuATXpqTnMsnANfVlTt4/iuAvv+z9wE5RgvlXhm0ycqaoVZNro7fpqN8ymb7xjq2TUfpuMYjdlRRE+8+tQURj2zLO5wEXCIiGxTVfYOqvlVEXgQcVdXLgZ8TkSeYm34JOK+u0LUk/1Xy+gfiT0dbQ9BERsm1rn5TLEP6GXlMnkrQKcNE3VFFseiO1GOQb1VPVf0I8JBA+POc8wuAC1LKXUvy7woD8fcPTQ1BrlZAE++/y3K6hK/Fx5B1qu7vpo/1q1NbA8OqngcUi1i1MweWSfxd33tZpNXEEKR41DnH1+ci9ybSTy64xiBV6kkh6RQPf3GtgWE9/7VBTq9/0cS/qvdru5l6bBl96AuIwSJaKzl0/y7Su3lSjIBFNzQ9kP+ABCyKiA+CpFT2DClEmmoE6oi1zczfOvRR+mmi+3dtCJp49920CPpN/gulABF5lYjcJCIfdcLuLSLvFpG3iMidTNghEXm9iFwvIleIyKlO+gtM+CdF5LFO+GcW+CgDBgwYUAG7vEPMsRws2v97NcXkBBc/B/ws8Argx03Y04Evq+q3Ar+HmbAgIg8AzgEeaMr5QzP8KQohTzG0Bnoqckk+XXvj6zI72J8RHPPMse+lq+UUQvdexe8pZfauTRs7HyB1ZnC34/jr0P/1/Bf6blT1vRRjUF1sMHsL9rs9m9n05DcBjxERMeGvU9Xjqvpp4HrgYSbdF7qs+ypjHQg/BjGGIOZd1RmAZWyq4sKv3zLqYok3dbJWTPpUUl+eEeg3+fdB878QuBT4KvCjJuw+wOcAVHUsIl8F7mHC3WVMbzBhqOp3pd64Lx4/dEcGq0T6uetapYfXjfyp6wtY5pIKLrrS/WM6faNHQdHNiB9rKLrsC2iHHvxAKrB08lfVzwLf4wWHWndaER6EiFwK/FDz2i0GnXhePSb9ZXdqh2a1hsLr4uoMQOowy9QZt8vGxshbY6du9rL5TB2fn7K8c+pIn6r0InKrc3mZqp4bUbzBMNSzKW4ATgFuEJFN4K4UcpENtzgZ+LeyQsyXdS6AiLRe/9rFojdiT0GfiL9NXXI8RxWh+/FNjEBfWgB9QOyonK5aAm4dciztoKp3jCwmjL5Y6RL0iCbmcDnwVHP+JODdZkODy4FzzGig+wGnAVc2uUFfJnXlJuo+EH+TjuXUDlo/X9NyQ+FVdQiFVe0NsKzfWarun/XexHXMWo0/tl+gS50/++tQhfE47lgSFur5i8ifAY+iWL/6BuD5qvrKQNJXApeKyPUUHv85AKr6MRF5A/BxitbgM1U1dcmP1sjh9R9UqSeV8BdVlsVksj+tr2XXtQbKpJeYVkAOGacLKSjlOaPLNJ8x/6ApOn/qxK/UVkAWKL1vEi6U/FX1RyLTHQOeXBL368Cv56zXQcCyiT/FU0+NyzkjOET8PvGFZKEQ4brxVUjd89cvty86v9/pG71EBumdsjFr/OSQdrqD9uNLq0BfNf9OsWzJ56BJPW08+JTx7W2/Nz+7T/xlpB9K69bVvW7i/a8q7PsYJyzxkKLzx5RnEdspvNDXvqiNlBtiLcm/DfrW0dtn4k/x5P2wENG3ffe+91lWXFlroKoV4BsAmDcCVd7/qhsD+12NyDviJ7exSC2zFXTw/AccUKR6+6mE7xJ9EwMD9cMmXWMwlQYC0pAfXmccLNqMBMphEPz71w09zYFYck0ha8hrLNyvtzN6VpbamRuDgfwXjJye+rK8/rbE717HEH7TGakxMo4Nt4ZgVJLeLaesFVBnAFzyTSXeJnMEmiBL57H5zKnbpxqLlP6AbgzA4Pn3DsvW+3NgVUnfDQuR/sj7rDqPqQ+Uj+SxJOd/Ysh65JVRmp40A7BOyK3bp3byLtUAZBztIyKHgfcChyg4+02q+nwvzSHgNcBDgS8CP6yqn6kq9wBQ4YABAwb0DcbzjznqcRx4tKp+J/Bg4CwROdNLE1wMswpr5/m3QdsOx2V3zrZBG6+/TNsv8/jLPqvKKq2X979l/9fKvPhZxuLDbwWEEGoJuPfy6xuSfvra6ZtjrH/uET4pw0aX6v1n+kLNBNevm8stc/grFpwNvMCcvwm4UETE5A1iIP8VwzIMSA7ir5N5qojfJ3g/fxX8/z/bEh85RsAl79D/q9sfUCUBVenwB0X6aWKwchP2BmnrAy3FACgpQz1PEJGjzvXFqnqxm8AsXX8V8K3Ay1T1Cq+MssUwby67aRT5i8g3Aaep6t+KyBFgU1Vvick74GCjCfGXkX6I8N30bpl1+r9PSpMA6YPx7AMGIETi7iJmtowUA2ARO+mrr60BF6NIo5ZK2DHrA/UbmjLa52ZVPaOytGIlgweLyN2APxeRB6nqR50kSYteQgT5i8hPAc8AvgH4ForF1C4CHlOXd0Be9M3rLyNgfzSPP4rHJ3yf9MsMRNl1FUJGYE76Mdd7k7Ac4xuC0KigkAEI3Tvk/ad40n01Bvb7rZvslZuwp99BRLoU7z8LOhrnr6pfEZH3UGxm5ZJ/2WKYpYjx/J9JsWHKFebmnxKRb2xQ75XGOur9bYi/StcPkb9L+rEtgro6gkfck8ID1UCfW8gIVMFfyrhqFFBXpN2k3JSlJlIhESwbS8QpLYUYpBiAbEYq05cuIicCu4b4jwDfy/4OXbsY5geYXwyzFDHkf1xVd4qNtMBYlazLIy8KB2GY56KQYqxiiD9E+GWkH4r371PVKQz1Hr9L9L4hGI/n+wbKBmhUGYBQ2GQy8/67IOFQi6OuryG3YYopL0bWgbSx/bEbxy+s4aTkfLEnAZcY3X8EvEFV3yoiLwKOqurllCyGWYUY8v97EXkucEREvg/478BfNn2KAc3Qp5ZDlQYf0urrvP3NzTDpb22G89pz38iE4BJfiOhdwnc7f61ca41EmRtaZgBSUJWnr1LPorCslkJ7aLYeflX9CPCQQPjznPPSxTDLEEP+51OMIb0W+G/A2yg2Wx9wQFFmaOo6WauI37/2Cd9el4Xb8sukoRBc0vQ9f5fsXdK24W4+20k8cgyFi5ABwLuO9f7L+gtWCTGEvSyyXpj3rwp7/TJHPmrJX1UnwMvNMeCAownxu+dlxG/DNjZnaVzCdz19G+6mhf2GIcXz973+zc3ic3dcxLkEvTue3dM1Bpb4NzfrDYD7brrU/btAjrrGSDG5ZZ3ejQDq+RdeSv4ici0V2r6qfkcnNTqA6JNkkxu+V+6Gu967S9S+l7+5OX9uSd8Ns2WGJCJ7fx/qefD2sITvErn1wm2ZltxlNHPg3PR1BsC9b6gTeMDysBDvf8VX9fwB8/lM83mp+fwx4LbOajRgHxZlPFK9/hDx+8Rsid/Gl5F86LDe/5ZH/jJiv1UY7d8MUCZ703/AjcmEDcP+25PZDnp7E9gcF4c1Aq5R8Qne/j+nGgBbTX/Sl2t0oiZMDcZjddDzL6qU/FX1swAi8khVfaQTdb6I/G/gRV1XbsDyUSbvWIgXXzZax/feLalboq+63rC/0qnl2HJuIvNs7WJO6J+ttSLjXbYmE7bGY/YM6e+OYbRjvP6AdDUOaPEhAxDq4/N1/HUh8BhdfyqVZSird+j5lxzT4XtHEfkPqvo+ABH5bqDdrvYrhr5t4NIFUlsXIZ3fP3z5BsJEv709O9/a9kjfRkBB+psbYSMAhSGwmBjFck6w3zWfWzDeg/EuG+MxG+Mxm+OiruMx7OyUy0m+pz8ez5P7xqh8eWj73gYPvzssRNKJgeYb7dMVYsj/6cCrROSu5vorwE90V6UBfUGZ11+m89u4Kfl78g/ME79L+tvbs+utbUzgIZPASDqbm8YAmLA5a7Nf9sGRfQqv/5Ah/XFhCKwR2DnOxnjM4dGYnR0j/ezsf+5psU7fgIzK+wGqJCCIl36WbQiWff+VhCYt77AUxIz2uQr4ThG5CyCq+tXuqzVgwIABK45V38NXRJ7nXQOgqoPmf0DQpEO5TOu31+J4/K5u73v97uf2Nmxsj0zgFmxvzbx/mEk+0xbAxv6bu9g3uH/PePzjOa+fzQ3Y2UVGxzk02mG0M2vR7OzUvyd3aKibZpEzawekIbavoRV6/gXHyD63OueHKUYBXddNdQb0BSGZxye/Mq3fn507Gs1G7LijeSzh20O2jdSzveUZgO0i8/YhxwBseeM+Zb6Ck8msk9deT+We8T7idyu7NdphtLP/H/c4sGmCXWKfTECddzQ3oof90o/NM+AAY8WHegKgqr/rXovIiykWERpwANDW6/fLcrV+f9gmhEl/jvgPHzIGYHvm+W9vFZmnBmHb6fjdmB9K5MKdjjvZm5H+eDwj/s0t2DxuKrpjjMgGG6PjxS1Lxpi4NsXe3nb++tWoWu3yoKzzv2pYyCtfdfIP4A7AN+euyIB+oonX71+7A3Y2Nvd7/7K9CYePFCQ//TzstAIOFZldg2A7feeGffqevyP7jHfnO3t3tgqPf+c4HNssDMB02Ojts+dkZgBsce5sYd2cdQD7cwRsHhnVj/wpW+qhD/zRhzqsHA6C5+/N9N0ATgR+rctK9Q17k/UY7mlR1hqo8/hDa++4QzphXvPfJ/UcPlJ4/nOGYLsIg3ljMLUgTgvAh/X2Yab57+wYr9/x+EcbU4/fJX6LjcmEbSZTD921K3vOUhEbo0L+cYd+TieLOWP8p9WLmBMwIA29eW1K0RnUY8R4/j/gnI+Bz6tqv59qQKeoWlzNDfeXbYDZUM7NTdu5e2hG+GWfVvM/fHjm/U+Hgrqdvo4BsMM8p56/I/fsbBsjsAXHwh7/vmfmdg5NJuikqMLepND/bUvAGgAJvBMb3h9mWgxi1uOJfSWx20D2BwfA8wf+X1U91w0QkUv9sAGrhzq9v0zyKUvnGoWNzflzS/7bZhLX1jb7dX2X8O9wZP4a5lsD21uzTl/ZpFjWy63oBLOoenG55xO/kXt83Wqa3Xfz99iaHJtebm2WLxbnd/6OjK5f5tUPuv8BxaoP9QQe6F6YzVwe2k11BoTgLxPcJVIknyqt312zZ2tz3vPfnhL/oZn+c/jwfuJ3DQDMy0Eb2xQq5CEK0rc/ZTvL1xK/aaRu7MKRbTg8hmO3F0bAbZrs6yzemz+fFJN2NjfHU2Nm+5ND/R7u+7GSUEj6gd47iAcOC3ndq6z5i8gFgN3E5Ws2GNgBLi7LN2A/FkneXaJsZy4bF/L6/Q7fwlEfzcbpz43wOVRuAKAwEIcOUxD+IWDLHJsUBsD3/B3yZxfYA9mBI5uweWym84MnGYXmB4xh+xAbkwlb4wl7m/Pevj2s4YOZ/m8NwKpIPzk4K6aI2O0AY6vTu+0FV5X8VfU3gN8Qkd9Q1QsWWKcBPUCM5GPjQl6/2+Hra/6F+78134F7+JDx/j3p5w53mJH/1hHgCLBNMeXEev+b5tMaAPtPt+udj4Hbi/RbG+zz+N1+gvFuETYdIWSWhtjcZHt7p5jY5SzpUKYe2ffkSj9lnNDl/rqLRMwjLEvDX9jrzbi8g4icArwGuBfFI1ysqi/10jwKeAvwaRN0Wd1E3CrP//6q+gngjSJyuh+vqlcnPcGAXiGlJVIm+fjl+J29Gw7xW/Kfef3ugH9X9/c7fY8Y0odiPcFDFAZgy5xbAzByPqH4H9ll5g/uYKZpAceKdBvAHawQ7xG/NTjjMYy352YHy+aYrc3C+/f3BHDJ3167k77GNQZgwDxWukM4X0fOGPhFVb1aRO4MXCUi71TVj3vp/kFVfyCQP4gqzf8XgGcAvxuIU+DRsTcZ0B6LkI6qyvd36CqLcwnQhrsjYPYtz7DpdfjOST93MMRvF5G9A4XH7xsAK/vYTl/7T7fHTPbZNochfmskBDjs6DbjMRx2hohuO4vB7WzB5i5sbrK5uTPV/u3yDhsj2HPejTv0s6+En7tOMeXllnFiy1vo68+o+avqjcCN5vwWEbkOuA/gk38SqmSfZ5jTx5nNgacQkcNtbros6CTsxQ5ohlDnpt8vYDt8p2vyj0bza/Rsu60AZ3LX4UOwdZiC5E2HL4eZGQAr+/i6v4XV/I18w65JYw2EzNJtTGDbIf3xrjOxbNdMCjN13DkOo9HcFpOhCW/2UX1Y3d83Bosa8dOlrBRT9rI8+ZTHztZ3EE/+J4jIUef6YlUN9quKyKkUm7lfEYh+hIh8GPg34JdU9WNVN40Z7fN+wJd9QmEDBgwYMMAi3tLerKpn1CUSkTsBbwaerapf86KvBr5JVb8uIo8H/gI4raq8Ks3/XhRNiyMi8hBmrtJdKNyvtULbWb6rOOInprPXPXc//U7gaaS7Hr+dqTvV/B3df9uO5rESD+b8sHdYzX+L/Z6/9fYx8f5cAGXaKXzIaPrTIaimxbC9ZeSerWLtHytZjXbY3JwEh3m678af9OV696FpBbmxiNZE7D1yj8bpQu7J9royD/UUkS0K4v8TVb1s/+1mxkBV3yYifygiJ6jqzWVlVnn+jwXOA04GXuKE30IxBHTAgrEoAxJ7jzIDEDIC8/s4OityusbAXa1zww7ntAcURiBE/pvM6/52jP82M83/uIm/nfkRQEcoRIatGelv7zC/gczmbCaxYwRGo53aUT7ueQoX9LWPwEdsHVNknJzDRJeGvKN9BHglcJ2qvqQkzb0oVl9QEXkYxY/9i1XlVmn+lwCXiMgTVfXNzas+4KDBJbW6zt5p/NTzd4ZY+oS/uTHzvNmk8Na3mZG/vQ55/na4p8UeBY1MOxvM58Q5bIewucfW7qy3P9I2AAAgAElEQVROVvOfrvjpTQgbjeaMm+37CHX6+sTXFbEvwli494i9X27PO7chaZI2rsBsJT4SOBe4VkSuMWHPBe4LoKoXAU8CfkZE7Hjmc1S10kbWav6q+mYR+c8UM30PO+EvavIU64wcnvui5SN/05ZY7JvxOp1MNZp50G6vsGsANjaZn8hl1vaZu7ZH2UQvO8HLdvjaMNsq2KNoDRxiJg85xmhqrByvf7Qxd+4uZOd2+vrva9XkvpzI3dHaFZlnJ34l52if9zGT3cvSXAhcmFJuzKqeF1Fo/P8JeAWFhbky5SZ9QpsRP+u2uqeLKknDv95Hdr4WZBdS83fjmpKuHa9vvX/r0VujUCy0PNP6/bH+e+zX92F+1q9dGsIhflwjZGUq2W+s5rz//f/gOci+L5JPm3qkkHnOReDstxyLbl51/zdwj/mZfreqPgX4sqq+EHgEcEq31RpQBXf1gUUg1uCF5gIEiXDfzDCZNwBzE7bs+YYTZtNYrd8aAdsCsOcbXhr32m0pyCz9lNhlvl5zDzW/fHSZ5h965L47D7mWdshJ5tDNmP9UI5EE6/nHHEtCzFBPu87tbSJyb4pOhPt1V6WDjZyyTV9GEJXVYRo+R/ae/OOezzIEDj/cJfNQevtPZT83Kbx8S/Yb4XyuMXLrXhJe9/67/H7a8kYn/Q6R6VLIPFbj79dkL+39Wh0x5P9WEbkb8DsUY0kVeHmnteox1ln6aYUmQ4iKAMLkj/O54YXjxftluYcrD43CmmBoo5hpXSf7gzpECmH7qkNXXGTLjZ3dm5vMIX/LoDWUbKN9ukJMh6/dtevNIvJWik7f+3daq46x7Jm+B9H7Xwxy/OtWlZGfGnxC7EoGXoZ6YHcyi06fUHbu/oLU+7dH/5d0TqINVT2uql8F3tj0hiJyloh8UkSuF5HzTdgDReQDInKJSEHLIvINIvJOEfmU+by7CRcR+X2T/yN20TkROVVE3tO0XquMnv/GPI0z8K/qb5xSXDifk8C1Oud7JWlsOq2Jd16gTmDiUU+ozm69q4Mqw1cJTYZ5QvHt5JZ5Ujt0l/L6e675N/UZK4cdlWYS2QBeBjwOeADwIyLyAIpF5J4AHAW+3yQ/H3iXqp4GvMtcY/KeZo5nAH/U8BkaI4f3lvt77/I3VPe8oXtX/rb3/QOol8En9xDJu9d7zJZvHjvxu4H0Y1O2X5ZJW/bPOVfPvWm4G90E9hZ9HBjSuk+BtD6AmLQphsTWISVttq9BzWifmGNJiNH8Q2g6we5hwPWq+i8AIvI64GwK0dZ+/9awnA08ypxfArwH+BUT/hozgeGDInI3ETmJ4nfxpYb1WjukykV++lD+vTLCryNRt1Uw2WNGzHacvh2r74a5I3hw4kfOubuq566Td+wd9n67s7qM92b1HY9LjEGcAfDDoydHtTQsMWWXXbdBLEHHevlu+pS0qemzo+fNvaq1ff6S8HcowD0a3u8+wOec6xuAhwMvBf4K+BRwkYm7p1nKFFW9UUS+saKM+6jqUeCHYivSVvfP1fHbd/3ffU/2txy6x2Ti0bDDlToBmex5EZb4dUaw9tAxiE/OUKzJ74/wgRl5u2GuoYAZ6dvJXbvOYcPtmv27s4cd74XrO9mb28PXOnC+fahy7HxuSOmQreOVRXX2uogl3Fgvv0n6JqTfyatRLfaN7jGqPP8XN4yrQkguUlX9Rwoj0LiMhvUZMGDAgG6wqp6/qv59B/e7gfkJYidTrD0dwudF5CTj9Z8E3JRahohcSkJrYFnom/dfV4YbvzcBO8nV9YRtuqkH6sslrqdvve3x3mzjlK3jzJZw2DGFWK/fLtIGzPUPuJW2Pp3bajhmjl1zbT3/48W1jufrZes73cpxd04G8j37KtnHbQVVpa1C3zqT9yaz7zwGTWSelJE8uVsHInKrc3mZqp4beQszzL/fPumiBwl+CDhNRO4nItvAOcDlJWkvB55qzp9KsT+lDX+KGfVzJvBVKw/5UNVzVfWOqnrHYHy/DXNjpGrKsddV+X1u33PIbjx2ItzO3Smpjp3dso4Xx5SgQ6R9nGLu4a75PGbCQscx59hxwnZMXmsEjsPODuxYI2Q3cTk+r/mPx9NnmDjkp95z+2QfiyUPACmF/12n1LErmcf2DqWMJEqqh+EOc8QTv73fJO5YFpp2+DaCqo5F5FnAOyjcuFdV7Dbzm8AbROTpwL8CTzbhbwMeD1wP3AY8rdtal8N6fX3T/rsor6r8UMek+j9w60lPPf3teY9/Z8cQ/1ZBwNs7xvu3SzHAbLL5tBYU6/PssX9tH5jv8LUGxTUG1njsgO7ODI81Am59d3YN8e/Nef7+4XrCPmHuBcKXgRgj37aOfrsrNk/sMM9e6PoVUKV0hHBfsFDyh2KjAQoCr0v3ReAxgXAFntlB1ZaOZRiAmDQ6mf+ndEl/ZNQW3+MPkSKAjHdhvDXz+Hd2C7LdNqS/Y0j4mFlhUyyh+9hjnvhDm7n4o33clsRtwK1MWwLHbp+//87xIpsl/aksVRgAHU9cBSg0CKj02o8LdQqHDEiojBCW0dk7vTfxnribNtbTTx3muUw723PVJ2pVz3cCT1bVr5jruwOvU9XHdl253AgR3ZSUejDyB5bfArDpq/JZ8rHpynT/vcl+CX1rKvE4RmDnOOxsF5uk7ByHY5vFkgqbm3AkRP6uXzlmvh9g5KXxPX9XDjLy0e4xOHa8MADHjs0MEpi67eLLU/bSNwAuMYdGAPnv0KKOoPum97v3t1WIrUrXnnvT9DlfpWrxE+8zYjz/EyzxA6jql51hlwMM+mwA2twvJa5MArEECbA1mRgZZcMsn2w2Szl2rFje2RK/u4jaEfeu7nr8dptHdxcvvyPYJf8xM/K/vTh2b4fbbjPEbzx+2woAR45yWgQe+c91BzhE73eG1nX2LpvIy1DWWkkamkqzmb6pen6KAXI/u0Bfv0+LGPKfiMh9VfVfAUTkm1jhoZVlZLbs9X66RFNj4uark35cErQev93IZXNs9mcBdndga9N40Dt2l6zjDvGP9h8WR2Dm7duNXXbZv/yzrenEOR+zrwN599g88U8/zTnMWgE7x6de/954Jm/tOi0b3/v334kNc99vToTkI5+gF6H3T+tDt2P6UyQji0VJQaoHQPYBfhV4n4jYoZ/fQ7GswgAPffb+68rzO3DrZvOWST+TSTG3ZWM08/7H48IAAIxHsLkzRkaG8HfMfrmjDY/0Zf/NJhM4PIYNOzHLXbvfX9XT/pvbtrc1GsdBTafusWNw260F2d92K9xmWgFuh+/U69+Zev07O8UzjsfFp9/X4cs9vn7vhvkedMg4VPUZ9Aku2TfxwFM6e1M7klPqlIuzc30/InIK8BrgXhSPcbGqvtRLIxSTZR9P0aF1nqpeXVVuzKqef20WTzuTol39nKod4VcBq+L9L1v/TynTH90T8v6huB6Pjfa/s1vt6VvXyWXB8V7ROby9Axvubl6hJZ1d8jezeHd3ZrKO6/HfdvtM8z92+8zzt1KQMQC7O6abYqfw+kMSlyvv+BLQqkk+VbB6f2rVUyUdGqS391nWa824iyMUP95fVNWrReTOwFUi8k5V/biTxl3z7OEUa55VTpytWt7h/qr6CbtqJrOJVPc1MlClVVlX5F7vvwsDAOVLNPjevy/9wH6vy/Viq7x/e9/jOzAaTdgYHd9P+qFOBNtzNiX+Q7C9W5zb7RWtruRq/u6NJ5OZdLNjpJ2dnQoDYEf7zPT+vZ3JXAe29f5d6WcvQPB+WNUon6boSvLJrfc3kYCayDpLl4IyDvU085jsUje3iMh1FMvcuOQfXPOsbA4UVHv+v0Ah7/xuqD7AoxOfoVfo0vvvwgBAP0YBVcX53r/1/K33D7PrnR04PDLyz5znf/t8wa67PB57xO/suet2EE/z6nxeO17f7cSdtgKOzYj/Ns/zP3Y7ujOeevxzk5Md6cdtAbjVD7UELA6K5OMiB9l3Keu4abt6jaqztQEjcIKIHHWuL1bVi0MJReRU4CHAFV5UcM0zjNEIoWp5B6vrP05Vj3kVOFyWb0CBLnb86kK2qbpHyPuH/Z2/Ni3Me/+2Q9R17MejeQNwaLSzvyDXelipB+DwoZnnvn1ottG6v9euWyF/dU536KYr//gy0NxQz53CXpjjuGcAbNH+qqZ+X0DVO19VuESdSvYuCaeQfRPD0qRF0BYJnv/NqnpGXSIRuRPwZuDZqvo1PzqQpVIpi+nwfT9wekTYymFVtH8XOQ1AWVlV4VAT53n/I6cFEMJoBFvs7C9oMoHJEU/2GRda/3SE0GbRWbxphofuq9TevBGYTtYaz7cAXF3fHfIJcOwYuw7x+3KPa6P2HGNgH8H3+sukk5CnH3q/IeSQfGIlIHc9n1Qidb36Jnr/oiSgHNDMG3mJyBYF8f+Jql4WSJKybhpQrfnfi6LZcEREHsLMstwFuENCvXuDRXjOLrra79f9US1qEbd9LQLC3tpUy/ZWs53bw320/55TAzBlSEv82zPvfWcHtrdnUs+U+Eez0UJuRVzyty2I6cxi2wLYdSZ2uVJQUZ9d4+nveAbANQKuAXC9/LZef586h1Pv6Us4qZ21TcgeJ08fGlO5hnqakTyvBK5T1ZeUJLsceJbZI+XhVKx5ZlHl+T8WOI/CgvwuM/L/GvDc+KoPGDBgwHoh82ifRwLnAteKyDUm7LnAfQFU9SIarHlWpflfAlwiIk9U1Te3q3t/USZl5JJ+uvL+LXK0ZkJllGn/UD3xa2K9/s392r+bLlSH7ckOMqf5b88WfYPC698xnb2j0azDN9SUsIXOef52mQazvMR0FU+nJWA0/l1zy2PH9nfwWu/fevy7ntdvnzVW8nGru2rw1+dx+wBS0KSzd+J8NpV3OmslZFzeQVXfR83WuU3WPIvR/B8qIu/y1vb5RVX9f1Ju1BekkOUqGQBoZwTqDEBseouRR/ix2JyM2bCSjZVpNs3PdLxn1v/ZnOn8tsMXwhVy5wpMyd9ZQno6AqggfR1PpvIOzEs9oZE+u95oH39EToysU6e3V43yWabe34Q0ff2+yaqfqZ29Nu8iJSEln+zTFWLI/3GqOpV5zNo+jwdWkvzL0HV/QNcGANo/QyzZz/UDUK79j5h5x2Vl+p/b27A5mbA1OVbMDBvvFiN7YGYIrLe/uTHv9QfJ33W/db7T191DYDyem8Bl6+wTv28ALBlOO30n5R5/ldffZzRtkfhk3YSwm5K9zZ9y36xfS+YO3y4QQ/4bInJIVY8DiMgRioVVVhYpo1xyjvxZlAGA5kbAfwc+6duy3fDQ0E/L0+5nXZ0tQW5u2s8xG5vjWeYp8R+fJ36/s9cteN/ewZOZ7GMY3HbcusR+3Hj+ew7Rhzx/t6N31zEG/i3LvO2yTz9dCMtcunl6T+YllLZkncuzXzbvKhyI9fxfC7xLRP6Y4pl+Arik01r1DKtmACCPFOSWFdMi8MnI1mFOuakwAv5eABubsLVZGAGA0WiMbO7M9P6R7/m76wEFloawo38MY7tDNl2S3x0z1fxDZB8a4z9xJZES5kkd3umjiSfZVvLxWyyu5JND22+zOJtrdFLQJm80DoLnr6q/LSLXUmysIsCvqeo7Oq9Zx0jx/mE1DQA0k4JSOoBd+UdG8wYgRPpuK8AnzM2JWRZiSvqwtzm7bzGqc8Lm5qQwBCP2d/b6zRTn019iem+yn/Tda5u9ytt35R7fy/flHvddlr33qmsXOZeG6AK+F5/bWKTWZRktgoOg+aOqbwfe3nFdFo5UA5ATObeArEOTVkDdO6gyAO49XQNgr92lHiwseY5GhRHQSUHGW/vIf+b4F2VMGJmdZEITfH0v1hK+S95WrplbssHk88fyh879Mn3ytwht8ZjL648ZPZRiXCrrQljLbyP5+PmbGguf6GPr4qbLwdmq1a3cPiBmJ68zgT8Avh2wyyjeqqp36bhu2dGW1LuY+bvoVoBFzHsI6f9u3jIDsMdsUTeYn+G7uVmk2R3Pntvq/DqZ6f22TNsScMvxj7LnCckXvje+55C5q9v7nr8b7nv8/ppGPqnGdPL2xeuPkXyaIuTF2/JSy3WJfRlefR0Oyh6+FwLnAG8EzgCeAnxrl5VaJMq84kXIPxaLNAAWsa2BphJQ2e/eJXA2gfEsnyV+t7zRCEaOZOQuEreRSP6WNF0St4fbWesu0eDKQyGpxy/Lv78/+if0WYcuvP4uUEbuTb14KsprWs4iDcVBkX2uF5ENVd0D/lhE3t9xvTpDitSzaAMAyzECXRkAvw9gH8aghsw3HAPglmXjYL/nv0sa+dtP3/v3Sd8l8pC+X0X87nlI5y+To0LnoetcXn+MJBTy+nMSu4tQmU25cxlEH6xHn5oiAcSQ/20isg1cIyK/TbFE6B27rVa36KsBgP62AkKSUYwBgIp5AA6RWyNgwzcdrX/PIXhrDKpIv6z+LimHpBqf8GC/QSgzEu49XIIuW7I5FNaELFZhpnAZsbchZjdvW6KflJy3wUGRfc6l0PmfBTyHYuW4J3ZZqVWB/cc7SK0ASGsJuHmCBmC0fx5AaWtjst8IhHT9Pe+66v2XDa0Meeu+UYCwt+8bA78M/95NJZhcXn+Mlx+LKg89J7lXldfWYCzCNiqkrOe/FMQM9fysOb0deGG31Vkccnj/XWMZrQCIe14/jUv4IZS1AkIk7xoB9/lDhiCmnv61S9hVM3LdsBTirxrLHyv3xKBuGYemqJJ8csEldsgn+bhlt20RtMIqj/M3Y/tLvwNV/Y5OajRgwIABBwArS/7ADyysFktCLu+/y81f+iwBlXn/7rnfIohtAUwlI6d8d5RPXd3KngfC3r57XtY/UJamC6+/TvKJXcohp+RTeg/ns07fb+vV2/u43nwbD39Sct4WK635O3LPgUYZyfXJAEB/RwPFGgAfI2AceGeuEfDLtuchg1CGMmnEJ3P33Nfty2Qee+4Tfyqxx8ZVIfU+VeWUST5dELmPOuPRlqAX6Yyv/FDPdZ7k1cQAwGKMACx+cljZc/vx7nUozm8JWCPg9nGEDEeZzh87Ssm9Dn26JO4TeBn5xxJ/GRHHEHSuBdyWIUPEtgJyELtbTtmxKGTezKUTrN0krxSpJ7UMi0XtAbzo1kCIiP34qlaAjzI5yBqBOsPhl1FXZz8sROBVxqEqXyhPqA5VBiFU15gRPk29/lBdUr1+l1S7GP8/rV/J4cellFd2ncVhz7iZS1dYu0lekGYAmhqLRW4CvwxJqOq9QLgV4OcNthBMGlcScp+vrPyY+rqoIu4yUnQ/F0H8ITQd4dOF1t8UvvEIhYXS5LjvoqBKzj18X0XRB3uTqj4oEP8o4C3Ap03QZar6orpy13KSF+QzALC8fgAfi5aEqp6/iqTrvPVpOu86ZBAg/KxVHnPdcgtV5B/TseuHh+JikKuTNya9+3ypXn/VcM2uiHyu/pHHopHRwL6aQoF5TUWaf1DVpEE6sZO8RqzRJK9Urb+uH2CRBsBikYYgxQiEwkItgDKEHmXc0vutIn/3uqm+n3rt3qsKq+j1V6GuozcXofv5JhVxTZFT81fV94rIqXlKmyFlktcxDtAkL0gn9DYGAJZjBGBxhiDGCLjxVa2BMkOQ0jdTVYcq794/r5u1m5v4Q4jx+pto/9br9/s9Urz+uhm+sf0FXWBpnn/aUM8TROSoc32xql6ceMdHiMiHgX8DfklVP1aXoWqS19nAyar6MnN9BXCiif5lVX1TYuWWjjJChzzj/fvUD1CGMo8yp1Gok8OqWgM2vIy0YiWjqvvGnFdJLov2+HOu2tlXr78KdZ5/7pZBLiRo/jer6hktbnU18E2q+nWzv/pfAKfVZary/H+ZYpSPxSHguyj0/j8GVo78oZygU/sAYDX6AWLhk04OYxDy9mPifYKqimtanyryjFmYLVXfzyX1lOVtks71+ucmvZHuwdMgj72mJk1O+OVNKuLaQBc42kdVv+acv01E/lBETlDVm6vyVZH/tqp+zrl+n6p+EfiiiKx0h28OA2DDIX00kEsofTQEkN8YpBgCP00ubzWW8KF6VE1b4g+hjPibyj1t0q0iqrz/ZTy2LnBtHxG5F/B5VVUReRhF19gX6/JVkf/d3QtVfZZzeSIHFKkGoGkei2X3B8QiRE5NDUIV0ZelqUsfm98PTyF9/zrGm48JSyH+rrz+ab8HzTx4GuSJ6S+IIfW+2rSMQz3/DHgURd/ADcDzgS0AVb0IeBLwMyIypliA8xxVrb17FflfISI/paov9yry34ArGz1Fj5CbzJu0Dlz0VQ6qQq7WQYwxqEqfmq5OV28i2zQl/hS0uYdvtNxO3nVBlcTjXmfZw5d8nr+q/khN/IUUQ0GTUEX+zwH+QkR+lKJDAeChFNr/D6beaMCAAQPWBqu8pLOq3gR8t4g8GnigCf4rVX33Qmq2ACzK+6+Ls1gVCagMXbUEfKTKRNB8FE0orOnwzZRO3kVp/f7G7E0kn9RJXv512X1TZJ+6NIvGIjt8myJmnP+7gQNB+DmGelaFx5RXFudi1Y2ARVfDStt0oELzoZNNR/GUhccapDb1C6Xxtf5lkuSiUCX5dHbPVV/V86Ah50iflKWOU/JaHBQj4CNn53FZeT6aevll4W3yQjviT0mTKj100WnbpLM4l+cfgy4Mg8Lqrud/kJF7qCc0byGU5XWxCkND2yJn52OdZNKWuJdN/E3lniqvPyTdDGiBVdb8DzoW5enHSD2xchCshyFogiaEnyt82cTfRO6JwbImecVUL8bzd9OGzuvi2mIg/x6jqafftMO3Km9sGhfraghyrG7ZRCZpS8ZtWzdtDY8f7xMyVEszi0SM3NNnKPRe818YZYjI/UXkAyJyXER+yYs7R0SuFpFnO2EPFZFrReR6Efl9ERET/g0i8k4R+ZT5vLsJP09EXpBaL+sRxYbbuNTyYvLGlhGCTmbHQYL7XDHPZ99d1XfX5PvuivgXofPHyD11iNlesWl/QVdLPeOV6593+a9iR/vEHMvCIv3FLwE/B7w4EHcOxbpBZ4rInUzYHwHPoFig6DTgLBN+PvAuVT0NeJe5jkKV55VLFoiJryMoP10qUsiyLwiRfIqHH2N0c3r7XRF/atl1eWPknlQS7wp13n7K0eTeofPG0PnfZdWxLCyM/FX1JlX9EBCydWKTASIiJwF3UdUPmGnKr2E2sexs4BJzfokTfjvw9bp65DYATTzGpmma/lDKiHUZhiFHPWL/edq2AnLILDmWbmhjDEJhZaTuhlUhZByaev1tCLsOS+TV4v4adywLfdH8LwOOAq9V1VtE5NuAG5z4G4D7mPN7quqNAKp6o4h8ozl/fezN3I3CfeTu8I3Ja9NA2tIGTde1d7EKLYMUo9dGLmka1wfir8rfRO5JIfFcaOrhx3j9VZ59dq+fQvYZhnpGQFUvYebNw6wlMJcstVwRuRT4oVDcMgwA5DMCblqLHMagD0ht4cSmXzbpw+KIP6Tz76sL+0m8bAx/FXKM88/t/ecoS0RudS4vU9Vzk+rQc8eqU/IXkWcCP2UuH6+q/xaZ9QbgZOf6ZIodagA+LyInGa//JOCmskLMl3Wuqcu+33FTAwDNSb4LI+DnSc23TLT5B2nr5beJXxXinwunmfceQ+IQV1Yd2nr+ZWWGzkPXLlS18dL1ORd26wqdUoSqvkxVH2yOWOLHyDq3iMiZZpTPUyh2pwe4HHiqOX+qE94Ie4F/EoumnYR1ed34rvT+PnUsldWnSZ1S31uT+Ji+ghByEX9ThOpcti3jvvoRP5O3DqlafxmpLxq57zuOPJaFhck+ZsOBo8BdgIkZ1vkAdxcaDz9DsWv9EeDt5gD4TeANIvJ04F+BJ8fWoWrZ5DatAFi83h+Tvi6/jzathS6MS9/kn6r4Lj3+svBUnX8uDdXeexnRl5E4gbA2rYAmnr+bN+W8C3Q5fDUXFkb+qvp/mJdy6tIfBR4UCP8i8JiMVRswYMCA7BjIv2eo8/4h3ALoW2evmz4lT2x5y0JTKahtujZ9A33w+l3Jp6yTN1XK6VoCCnnvy5J+3Ptl28wlQzldYkW6BfOibmx5VR9AFdrozE3ShfL0Qd9PQdN65+wzaSP19In4bX3mdiWjXKbx06QSvZumiyGhsdJPH2SeEFLrXgYReZWI3CQiHy2JF7MKwvUi8hEROT2mfmtJ/hZNDUCOESRddvb6eftgDHJ3+OZI16bTt2oMf5lz0TXx7wunnMCrJmoF6+KV5V/HDglNIfRYcnTr2CRdF0ZCydrh+2pmKxyE8DhmKyE8g2J1hFqsnezjo2rN/CadwG489GdyVwxh9q3Dt0m5sYahTXyT3be6lnrc+/vEP03vhFUt11BH9GWoy9eE0N1yUwzDsr3+nPdV1feKyKkVSc4GXmNWQ/igiNzNDoevKnetyL+KsMv6Aur6ASwOwuSuvrQQusrTFelDPuKPTete+xq/T4x1BF63que+upSkiTEQfhmTwHWTFkCfvH5I1vxPEJGjzvXFqnpxwu3uA3zOubYrIgzk76KJAYDqVoAtF/IZgZi0oTwp+fqANgYnh5cfm66PxG/lHn8fXosq3b2KwPfdv6SsJq2AFEIvK3MVvP7Ee9+sqme0uFWjFRHWjvyh3gBAeisgpmwbD2kefo7x/Ms2CLlaFbnIPDZdU9IvKzuH/GPDy0b1VHnuMQReN5PXv9ekQT43v1tOkxZAE6+/qgWQCws0PDcApzjX7ooIpVhL8od6Yu2yFeCmqUuXmjamjDK0NRBdyEZdaP4x6eo2XmmyDn8u3d8l/mk4YRK2cTGtAD9vSisA4loCZWSe0hLo2utfwaGelwPPEpHXAQ8Hvlqn98Mak79FFVHHzAmA6k7hsrKbpHPTujhImj80q8eiSB/6Rfyhzl2XvFJaAX5eSPfmQ+mqvPay/DGef8rPZNFevx3tkwMi8mfAoyj6Bm4Ang9sAajqRcDbgMcD1wO3AU+LKWyY67UAABcdSURBVHetyL9KkimLq5KBLHK0BNx0MWlz5OsLmhqdlHwxaZt6+3Xl59L9Y4h/mt4JrzIGMXljWgFV9wyVXeb5p7QAQmXXnaeU0Ra5ylLVH6mJV+CZqeWuFflDvQGA9FYAxPcHlJVfljY2fShfk/xdI0frIrfu35W3XxXfBfFXkXCd5x5D4E1bAXUefEpeN95PH4NFeP2LKDsH1o78oZ6E27YCIM4IVNWhTfqq/GXo8/IQXen+bUi/6j655Z9Y4ne96KqRPXjpUvJWEXcoXV36Ms+/TSugD17/KizvsJbkb9FEBoJ8RsDeB5Y/rLMvej80r0su0o/Z3awPxG8RWl3TD08dyx87N8C/b92ooDJyr3rlXXj9i/i59+hfKoi1Jv8BAwYM6AKD578CqPK8Y4aDQt4WQNX96vKl5u0Lup7oZdFW5qm7Xw6v372u8/qrpJjYyV1ueKjMNhJQqowTk6fuKyxLm5Iv157qy9yoJQZrRf5NO3vrJm7lNAJuXcrqE5u3aRldYpEdvhBH+NCd1JOSry3xh+QeAmFlhO6mcxEjAfnpqsi+TPapMw6hcqquc+dLweD59xBNO3tjtPncRsC9b929Y8sow0Hq8IXFkH7OOHttP5sQv6/ph9LGbtQe8vDrWhCxZJ/aAnDDQ+dlZcSmLcvXFgP59xRtWgFlcRYpRsAitUVQV4dU9KnDF7olfGgn79TFp8bZjl2YPUNoobYyz75sfZ4yeSZ1jL+LmOUhYsm+zPOvI/4QYtMuwuuHwfPvPerknKajgSxijIBFaovA1sFFn+SdVLQxPjlJP6YuXRK/6+1DGvG7xafssVu3MmdMK8CtaxnhVxF8V955UwOSAwP59xx1skpMK6As3qKJEYA0Q+DXx0WfjEKuFkYK4cNySb8s3h3KCfsXaeuS+C3K+g38+9e1AmB/2W5YXSsglNYNr0JK2rJ0uYk65/IOXWGtyL+p3l8XF1M2pBkBaGcIXNQR06rIR10QPsTVObe3bz994veJLIX4yzptU4yBf6+YVsC+5ys5ytKE8rjp/HxlcaF6xKZ1kWu0z+D59xBd6v0pRsAitUVg0cYguOib3g/pRG8RS/jQLemXxfvE73fqTtNRPjEL6jt8/TJijIFfbmwroIzA27QCQshF9l17/TBo/r1GW70f8q3bn9oisGjSadxXNCV7i5yk35VRqNL3fSJsQvxlxiPWGLj3sqhrBYS8d0rSVBF+jNfvp6+6LotLMSBtMZB/j+ATehu9PyZ/bBoLl8BSDQF02zrIibZEb7FILz8mTd14/jJ9v8oDt/FdEH9ZmF9uWSugjYdfZziqyD1XCyA1bQoGz7+HqBrH37Wn36Q1YNHEGEAc0eY0ELmIPYQUsoc4Mo9N13YiVx3xh1bmxImLGcNPINwvo64VUFVu3YJtTYxCDHIR+KLJeCD/HiGHp59jY5YmE7fatgqq0CVht0Eq2VvkJP26dHVxVTIPhL16nM9U+SdUThuPPxTmk22Z946Xpywe9pcZOq+L85FiCHL/CwyjfXqGEMk1Hd6Za3eutobAIrdBWAaakj3EE3ls2raevj2PkXnK9PYuOnyrwmB/S6CsFZDq4afkLUMusq8rZ11G+xwAyhgwYMCAfqFsnaOm0peInCUinxSR60Xk/ED8eSLyBRG5xhw/WVfmWnn+1rP0p7Rb+J53TD9AKF8oXdebtpR5zX1sEbTx8F2kDlHtstPX1fYtqmbsQrVnD9Uzb8tkGQLpY1sC1KR179tU4kkhvjayTVN5KKe3nqssEdkAXgZ8H3AD8CERuVxVP+4lfb2qPiu23LUif0vmOtlvAEajMNnn7uytS9c0fRliiDangchF7GXILe+kpE3p1IV0jT+V+KtW8awj+bIwP9zNHyLu0HmVsWgqzTQl87q4Ln+uGct+GHC9qv4LgIi8Djgb8Mk/CetF/tM/M70rpRUQCk9N46aLSeunj82Tgq4JuymaTj5bBunDvKc/F0+1t++Hx+RpQ/yTkrBQWjd9FbFTEVeWDy+sDLnIvk05qUjs8D1BRI461xer6sXO9X2AzznXNwAPD5TzRBH5HuCfgOeo6ucCaaZYP/L3LqqMQNtZvnXpUtOG8rjo0xo+qWg7y3gZHb4u6UN4bR77GRrKWUbuoTxV4W45ZelTJSQ3vM6bpyKuyljA/vx+WGoLIJbsu24BJI7zv1lVz6iIl5JbuPhL4M9U9biI/DRwCfDoqpuuFfnvk3pwyLwkDbRb1G1Rmr+fv005XSPXchLL0PzLxu3PxTH/mUruVMTVtQJC92haRsizLwsvy1MX7qMPLYAejva5ATjFuT4Z+Dc3gap+0bl8OfBbdYWuFfkr5TJP05YApLUGFr1ReyxB9nkzlzbl5xrzXyXxVJE+xHvYTfLEzBGIIf46maeO2P3zUJ5U8o5tAaTmrbtvLmQs90PAaSJyP+D/A84BftRNICInqeqN5vIJwHV1ha4V+U+o1/qZlHcKW+QwAnVl1eVLydu0/GWiTX1ySkAh0ofyzlyo98RtXFULwYZX5cmt+7vhdcRfReoxpJ/Li19k3hTkXN5BVcci8izgHcAG8CpV/ZiIvAg4qqqXAz8nIk+g6Gr4EnBeXblrR/5QGIC2rQBoZwT8tLHpy/I2yd8nLFLzr0vvT9SCaomnjPRD8bEGoSqujMgt2nb4lnnvobBYT7/OE0/x8qvyppQbE98GOctT1bcBb/PCnuecXwBckFLmWpF/SPMviwOijQC06xdomr4qv4s+GYWcLYzcmn/ZWH2olnjKPP2q+DKDECLxmDyhYaJ++hjj0cTbD8Xjhflpy659VKVvQ+a5id7HsLxDz1Dl7Y8outS7MAKQ1hpw09eV26SsGDQZgto1utL8y6QdSNP1/Tgbnyr/hPLVtQIIpHfLqSP+Os++Lsyvf533H7oOlVGXPjY+JW8PO3w7wVqRP9QbACriU4wA1LcGytIEbx34JXXp0S+7D6BrzT9G2nHjqkjfhvtxVfFVBsHmizEWZWW59+ma+Ovyh1BH/HVxKdepeXNgWNK5Z7BfRq2WXxPvG4HKtORf4TOUt2kZfUAOQ5M6qidG2oE40refZZp/WXyZQaiKiw2396lLX0XeZemaEH8VGYfC+tACaIuB/HsE/8uwUg+UDO2siPMLbNMamBbXsFVQVUbb8nKgi1ZE0yGcKdKOe15F+n58Wf7Uzt5QvrpWAF5cVSvAJ3QCYVXE79c1hvh9tG0B+GFtjE7On+ng+fcMVQRfFu+mqST2jK2BaZEtWgV15a0imgzh9POkSDuQRvo2vC5/nUHw89UZCxte13KoIv4yIxDbKsBLS0nYqrQAcqDv/25rRf4DBgwYsAgMo316BusZNfXwY1oAk8ksXVX60OifFEkoJs+qou2onpCeb5Ei8UCax28/6/LHdBanavwpk8NiZJwYL79KAvLPQ9c+cspFbe49jPY5gLBfRuWwTvIYAfeGsVLQ3D16OgooN3KN6ikjfH/F0hSJJ5QuVgayaULxsQahKl8ZuYfKiyFxAvFdEn9OQ1AX37YuTbAKmv/CaEJEfkxEPmKO94vIdzpx54jI1SLybCfsoSJyrdm55vdFREz4N4jIO0XkU+bz7ib8PBF5QVUd3B+sMhv2aQ//R+2nKYuvK2c8YboKpHrHnnNMKo4U5ConB6rqkvO53Pfovl83zXiy/7txvzf7XfppJhFp/Hg/jRtPIM7PQyCfnwf2G5i68qpIvCnxVxmBmGs/LDV/CpnX/eRy/ovUvV//vS0ai/QRPw38R1X9DuDXAHe96nOA7wLOFJE7mbA/Ap4BnGaOs0z4+cC7VPU04F3mOgohcg4RuP/l1MXHljNhP2k1MQRtiDym3JxHU8SUHUP4Zf9wdWRdli5nfJVBmNTka1KeSzZV16lp5r63BtdVP5O6/CnpQ3nr4tug7P2H3uMysDDZR1Xf71x+kGJZUgs74lIBEZGTgLuo6gcoAl4D/CDwdoodbB5l0l8CvAf4FeB24OuVdWAxck+0LARz375riceTZjtsrZLkYxEyEqGwGDkHyv+hq7R497yt5u/fr4n8E5vPzRMqr47IQ+dV6XMTv48qMs5RfkxcDgwdvuV4OgWRW1wGHAVeq6q3iMi3UaxhbXEDxW42APe0S5eq6o0i8o3m/PV1Nz3l9NOnBGutjcuVfpz93CjJ4+6wUFWOf75REu6X45O/BLZ02AiQfZXRGIW2hegQk5res9AuYvs6aQNlzA3V9ONsOSXh7nmIbEKav1+mep8hQnTjyurkk2lZHd16uOduffx6+8bDr0/Zfcvi/TIInPt1L0sT+llUkXddeX6alLL8+JNPPjmQIg2roPkvnPxF5D9RkP9/sGGqegmFFz9NFsia3AkvIpcCP2Svf+3qq1OLGDBgwJrhasMTInKrE3yZqp6bUs5ak7+IPBP4KXP5eOAE4BXA47ydZ3zcwLws5O5c83m7cYGRh24qK8R8WUlfWFuIyK2qesdF3nMRGJ5rdXAQnwlW7rneMSn4LgY3d1qTEnRK/qr6MuBlACJyXwp551xV/aeafDeKyC0iciZwBfAU4A9M9OXAU4HfNJ9v6aj6AwYMGNAIqnpWfarlQjQkqHZxI5FXAE8EPmuCxlWbFovIGcCrgSMU/QM/q6oqIvcA3gDcF/hX4Mmq+qUu656CFfNOojE81+rgID4THNznWhYWOdrnJ4GfTEh/FHhQIPyLwGMyVi03Llt2BTrC8Fyrg4P4THBwn2spWJjnP2DAgAED+oMVHBW+WIjIKSLydyJynYh8TER+3oTfW0TeLSJvsRPTROSQiLzezEq+QkROdcq5wIR/UkQe64R/ZsGPZO/7KhG5SUQ+6oSt9DOZe59l6nO9iJxvwh4oIh8QkUtEioGwFTPFxcwov97MRj/dhJ8qIu/psN6HReRKEfmw+Z290IS/WkQ+LSLXmOPBJvzuIvLnpo5XisiDnLIWMmO+o+e6q4j8pZP+aU5ZzzHP9cNO2L7v24Tfz/xeP2V+v9sm/AUicl7b5zoQUNXhqDiAk4DTzfmdgX8CHkDR4fxA4P8GftrE/3fgInN+DvB6c/4A4MPAIeB+wD8DGybuM0t6ru8BTgc+6oSt+jNtmHp8M7Bt6vcA4JXAicDPAmeZtL8NnG/Ozwd+y5w/nqKPSYAzgStM+KnAezqsuwB3MudbFAMdzqTo93pSIP3vAM835/enmPVu4/7CvIvXOWVeCTzC3OftFCPuqt7DecALlvBcz3XqcCLwJfNd3gn4Uwqp+i1V37eJewNwjjm/CPgZc/4C4Lxl/D77dgyefw1U9UZVvdqc3wJcRzHhbIPZ/Bs7L+FsZvMV3gQ8xnhYZwOvU9Xjqvpp4HrgYSbdFxbyIB5U9b0U/1guVvqZzP2vV9V/UdUdCvI7m+K57Lyb0HNdQjGD3Ia/Rgt8ELibFEOK99j/vrLB3M/OUN8yR5Um+wCK5U1Q1U8Ap4rIPU1c6Yx5LRjQzpiH8vdQO2M+Bg2eS4E7m9/YnSje+dh7Jovg923yPpri9wrzz/V1imdbewzknwAjeTyEwnu5EPhfwE8DrzVJ7gN8DkBVx8BXgXu44QbTGcuq+l3d1zwaq/5MZXV6KfBXFJ7v35i4uZniwDdWlaGqn1PVH6JDiMiGiFxDMXflnap6hYn6dSPv/J6IHDJhH8ZMYBSRhwHfxGxujJ0xf9Q4LPchcsY85j2o6utV9cVLeK4LgW+nmNdzLfDzqjoxz3GteS47m7/s+74H8BXze517XlV9sUasBrAOWKslndvAaOBvBp6tql8DvkYhncwlC2TVivBeQVU/y2o/U7BOqvqPwMPblNG8SvFQ1T3gwSJyN+DPjY5/AfB/KGSNiynWsXoRhUT3UkOq1wL/iFlORjuaMd8Uic/1WOAaCs/9W4B3isg/qOrXVPU3gN9wil6l32bvMHj+ERCRLQri/xNVrRpudgNwismzCdyVotk6DTdwZyz3Hav0TCl1+ryRQ5D5meJLfy5V/QrFgoVnGdlRVfU48McYac2Q4dNU9cEUkyBPpFg5N4TaGfOw7z1kR8xzAU+jWEpBVfV6ime6f0mRZd/VzRRy3aYXPsDBQP41MPrhK4HrVPUlNcnt7GOAJwHvNhrr5cA5UoycuR/FEtVXdlXnzFilZ/oQcJoZ6bFN0UF9eUla97ncmeKXA08xo37OBL5qZZEuISInGs8YETkCfC/wCYeYhUK3/qi5vpsdwUIxf+a9pkW6D6b+t4jImaacpzD/vKH3sJTnopi4+RgTd0/g24B/KSk++H2b3+ffUfxeO3muA4Fl9zj3/aBYgE6Bj1A0R68BHl+S9jDwRorOzyuBb3bifpViZMInMSMtlvxcfwbcCOxSeFBPX/VnMnV6PMWIrH8GfrUi3T0oOkw/ZT6/wYQLxZIk/0whp5yxoHp/B4V08xEKInyeCX+3qcdHKfph7MiZR5i6f4JC4797TflnmDL+mUJXt3N8gu9hic91b4p+GRv3402+b4oRQFea3+0bgUPL/m327RgmeQ0YMGDAGmKQfQYMGDBgDTGQ/4ABAwasIQbyHzBgwIA1xED+AwYMGLCGGMh/wIABA9YQA/kPGDBgwBpiIP8BWSAi9xSRPxWRfxGRq6RYQvm/1OQ5VZwlpRPvd56I3Nu5foWIPCAy76NE5K1N7hsLEXm/+TxVRH60Qf7zROTC/DUbMKDAQP4DWsPM0vwLilmm36yqD6WYbXlydc5WOI9iQhBQ7BSnqh/v8H5JUNXvNqenAsnkP2BA1xjIf0AOPBrYUdWLbICqflZV/wCm3u8/mI04rhaR7/YLqEojIr8sxUYkHxaR3xSRJ1HMWP0TKTYCOSIi75Fi32e7wcfVJv27Yh9CRB4jIv9o7vUqu9KkiHxGRF5oyrxWRO5vwk+UYgOUq0Xkf4nIZ0XkBBNnlzH+TeD/MvV8ju/Ri8hbReRR5vxpIvJPIvL3wCOdNCeKyJtF5EPmmMYNGNAUA/kPyIEHAldXxN8EfJ+qng78MPD7sWlE5HEUa788XFW/E/htVX0TxdK+P6aqD1bV6frsInIi8HLgiSb9k2MeQEQOU2ww8sOq+u8pVrz9GSfJzaZufwT8kgl7PsVaR6cDfw7cN1D0+cA/mHr+XsX9TwJeSEH630exXr/FS4Hf02Kp7CcCr4h5pgEDqjAs6TwgO0TkZRRrIu0YwtoCLpRiq7494N8FspWl+V7gj1X1NgBVrdtQ5UwK+enTkektvg34tKr+k7m+BHgm8D/NtV3N9SrMOvrmGf+Luc9fi8iXI+8VwsMpdgr7AoCIvJ75d/CAQl0D4C4icmct1rgfMKARBvIfkAMfo/BIAVDVZxr546gJeg7weeA7KVqbxwJllKUR0tZiT03v5qvCcfO5x+z/pi5PCGPmW9yHnfOyeo+AR7gtnAED2mKQfQbkwLuBwyLiyiR3cM7vCtyoqhPgXIptFX2Upfkb4CdE5A5QbDhuwm+h2FPZxweA/2iWmXbT18Fuhfit5vpc4O9r8rwP+K/mPt8P3D2Qxq/nZyg2NhmJyCnM1rG/AniUiNxDiv0jXLnqb4Bn2QvTOhowoBUG8h/QGlosDfuDFKT7aRG5kkI2+RWT5A+Bp4rIBymkjFsDxQTTqOpfU6w5f1SKXaus3v5q4CLb4evU5QvAM4DLROTDzLb88/EYEbnBHhTbcz4NeKOIXEux3+9FJXktXgh8v4hcDTyOYolsX4r5CDA2nc/PAf43xQYl1wIvxvSVaLHm/gsojNffMt+H8nPAGVJsefhxim02BwxohWFJ5wEDGsKMBtpT1bGIPAL4Iy121howoPcYNP8BA5rjvsAbRGQE7AA/teT6DBgQjcHzHzBgwIA1xKD5DxgwYMAaYiD/AQMGDFhDDOQ/YMCAAWuIgfwHDBgwYA0xkP+AAQMGrCH+fwOKW56ogvogAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "npred_map.sum_over_axes().plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# This one line is the core of how to simulate data when\n", "# using binned simulation / analysis: you Poisson fluctuate\n", "# npred to obtain simulated observed counts.\n", "# Compute counts as a Poisson fluctuation\n", "rng = np.random.RandomState(seed=42)\n", "counts = rng.poisson(npred)\n", "counts_map = WcsNDMap(geom, counts)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "counts_map.sum_over_axes().plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit\n", "\n", "Now let's analyse the simulated data.\n", "Here we just fit it again with the same model we had before, but you could do any analysis you like here, e.g. fit a different model, or do a region-based analysis, ..." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "spatial_model = SkyGaussian\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t----- --------- ----- ---- --- ---\n", "\tlon_0 0.000e+00 nan deg nan nan\n", "\tlat_0 0.000e+00 nan deg nan nan\n", "\tsigma 1.000e+00 nan deg nan nan\n", "\n", "spectral_model = PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t--------- --------- ----- --------------- --------- ---\n", "\t index 2.000e+00 nan nan nan\n", "\tamplitude 1.000e-11 nan 1 / (cm2 s TeV) nan nan\n", "\treference 1.000e+00 nan TeV 0.000e+00 nan\n", "\n" ] } ], "source": [ "# Define sky model to fit the data\n", "spatial_model = SkyGaussian(lon_0=\"0 deg\", lat_0=\"0 deg\", sigma=\"1 deg\")\n", "spectral_model = PowerLaw(\n", " index=2, amplitude=\"1e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)\n", "print(model)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
FCN = 268093.5231869054TOTAL NCALL = 313NCALLS = 313
EDM = 1.2783287759261633e-05GOAL EDM = 1e-05\n", " UP = 1.0
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ValidValid ParamAccurate CovarPosDefMade PosDef
TrueTrueTrueTrueFalse
Hesse FailHasCovAbove EDMReach calllim
FalseTrueFalseFalse
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
+NameValueHesse ErrorMinos Error-Minos Error+Limit-Limit+Fixed?
0par_000_lon_00.2097750.00854235No
1par_001_lat_00.09525690.00859662No
2par_002_sigma-0.2900080.00592014No
3par_003_index2.99230.0291751No
4par_004_amplitude1.012470.0494739No
5par_005_reference110Yes
\n", "
\n",
       "\n",
       "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 16.9 s, sys: 858 ms, total: 17.7 s\n", "Wall time: 17.8 s\n" ] } ], "source": [ "%%time\n", "fit = MapFit(\n", " model=model,\n", " counts=counts_map,\n", " exposure=exposure,\n", " background=background,\n", " psf=psf_kernel,\n", ")\n", "\n", "result = fit.run(optimize_opts={\"print_level\": 1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "True model:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "spatial_model = SkyGaussian\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t----- --------- ----- ---- --- ---\n", "\tlon_0 2.000e-01 nan deg nan nan\n", "\tlat_0 1.000e-01 nan deg nan nan\n", "\tsigma 3.000e-01 nan deg nan nan\n", "\n", "spectral_model = PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t--------- --------- ----- --------------- --------- ---\n", "\t index 3.000e+00 nan nan nan\n", "\tamplitude 1.000e-11 nan 1 / (cm2 s TeV) nan nan\n", "\treference 1.000e+00 nan TeV 0.000e+00 nan\n", "\n" ] } ], "source": [ "print(sky_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Best-fit model:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "spatial_model = SkyGaussian\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t----- ---------- --------- ---- --- ---\n", "\tlon_0 2.098e-01 8.542e-03 deg nan nan\n", "\tlat_0 9.526e-02 8.597e-03 deg nan nan\n", "\tsigma -2.900e-01 5.920e-03 deg nan nan\n", "\n", "Covariance: \n", "\n", "\t name lon_0 lat_0 sigma \n", "\t----- ---------- ---------- ----------\n", "\tlon_0 7.297e-05 -1.472e-07 -1.032e-06\n", "\tlat_0 -1.472e-07 7.390e-05 -6.568e-07\n", "\tsigma -1.032e-06 -6.568e-07 3.505e-05\n", "\n", "spectral_model = PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max\n", "\t--------- --------- --------- --------------- --------- ---\n", "\t index 2.992e+00 2.918e-02 nan nan\n", "\tamplitude 1.012e-11 4.947e-13 1 / (cm2 s TeV) nan nan\n", "\treference 1.000e+00 0.000e+00 TeV 0.000e+00 nan\n", "\n", "Covariance: \n", "\n", "\t name index amplitude reference\n", "\t--------- ---------- ---------- ---------\n", "\t index 8.512e-04 -1.205e-14 0.000e+00\n", "\tamplitude -1.205e-14 2.448e-25 0.000e+00\n", "\treference 0.000e+00 0.000e+00 0.000e+00\n", "\n" ] } ], "source": [ "print(result.model)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# TODO: show e.g. how to make a residual image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## iminuit\n", "\n", "What we have done for now is to write a very thin wrapper for http://iminuit.readthedocs.io/\n", "as a fitting backend. This is just a prototype, we will improve this interface and\n", "add other fitting backends (e.g. Sherpa or scipy.optimize or emcee or ...)\n", "\n", "As a power-user, you can access ``fit._iminuit`` and get the full power of what is developed there already.\n", "E.g. the ``fit.fit()`` call ran ``Minuit.migrad()`` and ``Minuit.hesse()`` in the background, and you have\n", "access to e.g. the covariance matrix, or can check a likelihood profile, or can run ``Minuit.minos()``\n", "to compute asymmetric errors or ..." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
+ par_000_lon_0 par_001_lat_0 par_002_sigma par_003_index par_004_amplitude
par_000_lon_0 1.00 -0.00 -0.02 -0.01 0.01
par_001_lat_0 -0.00 1.00 -0.01 0.01 -0.01
par_002_sigma -0.02 -0.01 1.00 0.02 -0.31
par_003_index -0.01 0.01 0.02 1.00 -0.83
par_004_amplitude 0.01 -0.01 -0.31 -0.83 1.00
\n", "
\n",
       "\n",
       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Check correlation between model parameters\n", "# As expected in this simple case,\n", "# spatial parameters are uncorrelated,\n", "# but the spectral model amplitude and index are correlated as always\n", "fit.minuit.print_matrix()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# You can use likelihood profiles to check if your model is\n", "# well constrained or not, and if the fit really converged\n", "fit.minuit.draw_profile(\"par_002_sigma\");" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }