{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quick Start" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GammaBayes is a python package that handles two-level Bayesian hierarchical inference model that allows one to infer on parameters related to gamma-ray flux from gamma ray event data specifically for the Cherenkov Telescope Array Observatory (but by replacing the relevant instrument response functions could do it for any energy, longitude, latitude data)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because CTAO is not fully online GammaBayes also currently has the capability to simulate given event data based on specified sources and relevant parameters. So a typical use case is to:\n", "\n", "- Define all required observation meta-data\n", "- Generate reconstructed event data\n", "- Define parameters to be inferred on and how these will be analysed\n", "- Marginalise over nuisance parameter values of the given events\n", "- Use these marginalised probabilities to stochastically sample the space of parameters previously defined" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we will very quickly go over the bare-bones things that need to be defined with little detail of the underlying principles of how these values are used internal to the code, but of course explain the main outputs.\n", "\n", "If one wants to do a similar process from a text configuration file we would also direct the user to the High Level Inference tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Observation Meta-Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By 'meta data' here we refer to the region of energy and angular values, the sources, the number of events, how much each source contributes to the overall number of events, and other observation meta-data. \n", "\n", "First we define the 'binning geometry' for the observations which contain the range of energy and angular values to be used." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We choose to explore the energy values between 0.1 TeV and 100 TeV with 50 bins per decade, -3.05 to +3.05 degress in Galactic Longitude and Latitude with a resolution of 0.4 deg (large but will decrease memory consumption for this tutorial).\n", "\n", "We use these values for the reconstructed values and 'true' values of the events. The reconstructed values being what would be measured by CTAO and the 'true' values being what the telescope would see if it had infinite precision/the actual values of the events." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } ], "source": [ "from astropy import units as u\n", "from gammabayes import GammaBinning\n", "import numpy as np\n", "\n", "\n", "min_energy = 0.1*u.TeV\n", "max_energy = 100*u.TeV\n", "energy_bins_per_decade = 50\n", "\n", "min_lonlat = -3.2*u.deg\n", "max_lonlat = 3.2*u.deg\n", "angular_resolution = 0.4*u.deg\n", "\n", "\n", "# Numpy arange has a bit numerical instability regarding the max value\n", "angular_axis = np.arange(min_lonlat.value, max_lonlat.value+1e-5, angular_resolution.value)*u.deg\n", "\n", "true_binning_geometry = GammaBinning(energy_axis=np.logspace(\n", " np.log10(min_energy.value),\n", " np.log10(max_energy.value),\n", " energy_bins_per_decade\n", " )*u.TeV,\n", " lon_axis=angular_axis,\n", " lat_axis=angular_axis,\n", " )\n", "\n", "\n", "recon_binning_geometry = GammaBinning(energy_axis=np.logspace(\n", " np.log10(min_energy.value),\n", " np.log10(max_energy.value),\n", " energy_bins_per_decade\n", " )*u.TeV,\n", " lon_axis=angular_axis,\n", " lat_axis=angular_axis,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this tutorial we will presume a single observation with pointing direction of the array at the Galactic Centre for 50 hours (impossible for IACTs but let's keep it simple)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "pointing_direction = np.array([0.,0.])*u.deg\n", "observation_time = 50*u.hr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this we can define the Instrument Response Functions and exposure, which in GammaBayes is stored in a class for the log of these values." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from gammabayes.likelihoods.irfs import IRF_LogLikelihood\n", "from gammabayes import GammaLogExposure" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "irf_loglikelihood = IRF_LogLikelihood(\n", " pointing_dir=pointing_direction,\n", " observation_time=observation_time,\n", " axes=recon_binning_geometry.axes,\n", " dependent_axes=true_binning_geometry.axes,\n", ")\n", "\n", "log_exposure = GammaLogExposure(\n", " binning_geometry=true_binning_geometry,\n", " irfs=irf_loglikelihood,\n", " pointing_dir=pointing_direction,\n", " observation_time=observation_time\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then need to define some sources, which as GammaBayes is a probabilistic inference package sources are contained with the `DiscreteLogPrior` class which contains unnormalised prior probablity distributions (with the ability to normalise when required).\n", "\n", "To save time we will also use sources already defined within this package and the residual cosmic ray background, a model of which comes along with the Instrument Response Functions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammapy/modeling/models/spatial.py:583: RuntimeWarning: invalid value encountered in multiply\n", " return u.Quantity(norm * np.exp(exponent).value, \"sr-1\", copy=False)\n" ] } ], "source": [ "from gammabayes.priors import HESSCatalogueSources_Prior, FermiGaggeroDiffusePrior, ObsFluxDiscreteLogPrior\n", "\n", "localised_sources_prior = HESSCatalogueSources_Prior(\n", " binning_geometry=true_binning_geometry,\n", " log_exposure_map=log_exposure\n", ")\n", "\n", "\n", "diffuse_sources_prior = FermiGaggeroDiffusePrior(\n", " binning_geometry=true_binning_geometry,\n", " log_exposure_map=log_exposure\n", ")\n", "\n", "ccr_prior = ObsFluxDiscreteLogPrior(\n", " name='CCR_BKG',\n", " logfunction=irf_loglikelihood.log_bkg_CCR,\n", " binning_geometry=true_binning_geometry,\n", " observation_time=observation_time,\n", " pointing_dir=pointing_direction\n", " \n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could use the default normalisations to figure out how much each source contributes, or we can specify by how many events each contributes. We will assign half the events to the residual cosmic ray background, a sixth to the diffuse background and a third to the localised background with a total of 4500 (2250, 750 and 1500 respectively)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "total_num_events = 4500\n", "ccr_frac = 1/2\n", "diffuse_frac = 1/6\n", "localised_frac = 1/3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### High Level Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will first simply use the `GammaBayes` class `SimulationContainer` where we plug in the above information and easily get the event data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ic| event_counts: {'CCR_BKG': 19346,\n", " 'FermiGaggeroDiffusePrior': 87,\n", " 'HESSCatalogueSources_Prior': 191}\n" ] } ], "source": [ "from gammabayes.high_level_inference import SimulationContainer\n", "from gammabayes.hyper_inference import MTree\n", "\n", "mixture_tree = MTree()\n", "mixture_tree.create_tree(layout=['FermiGaggeroDiffusePrior',\n", " 'HESSCatalogueSources_Prior',\n", " 'CCR_BKG'],\n", " values=[diffuse_frac, \n", " localised_frac, \n", " ccr_frac])\n", "\n", "\n", "sim_container = SimulationContainer(priors=[\n", " localised_sources_prior, \n", " diffuse_sources_prior, \n", " ccr_prior], \n", " irf_loglikes=irf_loglikelihood, \n", " mixture_tree=mixture_tree, \n", " true_binning_geometry=true_binning_geometry,\n", " recon_binning_geometry = recon_binning_geometry,\n", " log_exposures=[log_exposure],\n", " observation_times=[observation_time],\n", " pointing_dirs=[pointing_direction],\n", " Nevents=total_num_events\n", " )\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then just call the simulate method and a dictionary containg the data will be returned." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1/1 [00:34<00:00, 34.52s/it]\n" ] } ], "source": [ "obs_containers = sim_container.simulation_observation_set()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "event_data = obs_containers['Observation_0']['measured_event_data']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To take a peak at the event data just call the peek method." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "event_data.peek()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And if you would prefer this in log-scale add the keyword parameter `count_scaling='log'`" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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st+Pv3OF2fEl69VW348+Z43b8d95xO35OjtvxXRs3zv01djjOU1e/5rocjdunSPTg4WpssGZTIlZG3cqUpdQEz1hr1d3dLWuZ4gn/kJ/wFbkJAACQWnQ2AQAAAACA9BF1uGaTq3EHGTqbAAAAAAAAkDQUmxIwsipSE7vRwTvGGBUVFbHmCLxEfsJX5CYAAIjT09nk6pBUXl6usrIyVVVVBXyzwWAaXQJGUij1S5QBR2SMUSjkamlW4NiQn/AVuQkAAFKturpa4XA46DACQ2dTAlEZ1apYURYIh2ei0ahqa2sVZR4wPER+wlfkJgAAiGOjbg9QbOoLhSb4ijdL8Bn5CV+RmwAAAKnDNDoMfkvzj+K5ze7iAAAAAAD4j93onKOzCQAAAAAAAEkz6Dubdu7cqXnz5qmurk5ZWVn65je/qSuuuOKYxjSyKlYju9EF7Wg6ltKEMUbFxcXsqAQvkZ/wFbkJAADi0Nnk3KAvNmVlZWnlypWaOnWq6urqdOaZZ+pzn/ucRowYMeAxjaRMRVi1Cd4xxigzM5M3TPAS+QlfkZsAAACpNein0Y0ZM0ZTp06VJJWUlKiwsFCNjY3HNCa70cFX7KgEn5Gf8BW5CQAA4vR0Nrk6EHyxadOmTbr44os1duxYGWP02GOP9XrOqlWrNHHiROXk5GjatGl6/vnnE461efNmRaNRjR8/3nHUAAAAAAAASCTwaXTt7e2aMmWKvvKVr+jzn/98r8fXrVunm266SatWrdKnP/1p3X///aqoqFBNTY0mTJgQe15DQ4Ouvvpq/fCHPzzs9To7O9XZ2Rn7uqWlRdLBbqaeTqaelZrsB+d7GFmZD87bozj/0Q6pvs5nyPYao6/zA40lWecH9T1ZK2s/XI/LGCNjTK9PvPs6n5GR0WuMvs73jJHM89FoNBbTkZ4/WO7paM5zT/7eUzQajfv/oXBPh4udexo89yQp7ncnAABIc1HrcM0m1n6WPCg2VVRUqKKios/HV6xYoQULFujaa6+VJK1cuVJPPfWUVq9ereXLl0s6WEC67LLLdPvtt2vmzJmHvd7y5ct111139Tq/R6PU8UGjV472S5Kalaf9yok9J0/tylO7GlWgTmXHzheoRbnar3oVqVuZsfNFalJIXarTqLgiTLEalamIalUcF0Op6hVRpupVGDuXIatS1atL2WpQQex8liIqUYP2KUdNCsfOh9SlIjWpTSPUqg/XrcrVPhWoVc3KU4eGp/E9SfX19eru7v7wnoqKFAqFVFdXF/dGpLi4WJmZmaqtrY2/p9JSRSIR1dfXf3hPGRkqLS1VV1eXGhoaPrynrCyVlJRo3759ampq+vCeQiEVFRWpra1Nra2tH95Tbq4KCgrU3Nysjo6OD+8pL095eXlqbGxUQ0ND7E1VQUGBcnNzB/09HVoA5p4G7z1Za3XgwAFJGjL3JA29n1M63pMxJu53Z891AQAA4IaxH/2YMkDGGK1fv15z586VJHV1dSk3N1ePPvqoLrvsstjzbrzxRm3dulXPPfecrLX60pe+pFNPPVVLly494jUSdTaNHz9e798WVjh08AWokZWVif03Fl86dgENtXta2jzoP+GPRCLKyMjo1/MHyz3RiTF07slaq8zMzCF1T0Px55SO99Td3R373SlJbW1tys/PV3Nzs8LhsHB4LS0tys/P19ckhYIOZoC+cKH7axxSX3WioMDt+GVlbsevq3M7fmHhkZ9zLNra3I4vSY8/7nb8OXPcjt/V5XZ81znk2rhx7q/x4otux3/6bTfjdkn6d8n5v8s9/541v/IFhUcOc3ONtgPKn/aLtH+NEXhn0+Hs3btXkUhEo0ePjjs/evTo2KeuL7zwgtatW6fJkyfH1nt6+OGHdfrppyccMxQKKRTq/TIpQza2gJWVFFGmstStDNlezzU6WLjo7/lEY/R1/mjHDur8oL6nQz7Zjos9I/ESZonO9zWG6/PSwTfzH318MN/T0Z7nnvyK/dDzhxZDh8o9HSn2vs77Fnu631NPYepwv1sBAACSqby8XJmZmaqsrFRlZWXQ4aSc18WmHh99YdjzglGSzj777KSvwWBlVK9Clao+YbECCIq1VvX19SotLeUNE7xDfsJX5CYAAIgTiR48XI0tqbq6Oq07mwLfje5wRo0alXDtiLq6ul7dTgAAAAAAAAie18Wm7OxsTZs2TRs2bIg7v2HDhiMuBA4AAAAAANBLNOr2QPDT6Nra2rRt27bY19u3b9fWrVtVWFioCRMmaPHixZo3b56mT5+uGTNm6IEHHtCOHTu0cOFCp3H1tSYRELS+1lgBfEB+wlfkJgAAQOoEXmzavHmzZs+eHft68eLFkqT58+dr7dq1uvLKK9XQ0KBly5Zp9+7dmjRpkp544gmdcMIJzmLKkFWp6o/8RCDFerYaB3xEfsJX5CYAAIhjowcPV2Mj+GLTrFmzem2l/FGLFi3SokWLknrdqqoqVVVVKRKJ9HrMSupStrLVJZYRhU+sterq6lJ2djaL3MI75Cd8RW4CAACkVtr2lFdWVqqmpkbV1dW9HrMyalCBLKUmeMZaq4aGhiMWaIEgkJ/wFbkJAADisGaTc2lbbAIAAAAAAEDyBT6NDgAAAAAAIGVcdiDR2SSJzqaEjKyyFJFhRzp4xhijrKws1hyBl8hP+IrclDZt2qSLL75YY8eOlTFGjz32WNAhAQCAIYzOpgSMpBI1BB0GXFia38/nNbuNY4CMMSopKQk6DCAh8hO+Ijel9vZ2TZkyRV/5ylf0+c9/PuhwAAAIFp1NzlFsSsBK2qccDdd+lgiHV6y12rdvn4YPH57Wn9DDT+QnfEVuShUVFaqoqOj38zs7O9XZ2Rn7uqWlxUVYAABgiKLYlICVUZPCylEnU+ngFWutmpqalJOTk7ZvmOAv8hO+IjeP3vLly3XXXXf1Oj/pRGm4o0UYJkxwM26PnBy340vSuee6HX/vXrfjNzW5HT872+34I0e6Hb+x0e34kjRnjtvxx451O/7+/W7Hd51DbW1ux3f95y+5v4erPuVm3PZu6d83uxk7ITqbnEvbNZuqqqpUVlam8vLyoEMBAADwyu23367m5ubYsXPnzqBDAgAAg0jadjZVVlaqsrJSLS0tys/v5zo+AAAAaSAUCikUCgUdBgAAbkSjUoTOJpfStrPpcIysQupiCh28Y4xRKBRiGgi8RH7CV+QmAABItfLycpWVlamqqiroUAKRtp1Nh2MkFakp6DCAXowxKioqCjoMICHyE74iNwEAQJyodbhm08GmlerqaoXDYTfXGAQoNiVgJbVphEaqnd3o4BVrrdra2jRy5Eg+oYd3yE/4ityU2tratG3bttjX27dv19atW1VYWKgJrlfmBgAAaYdiUwJWRq0aoRHqYCodvGKtVWtrq0aMGJG2b5jgL/ITviI3pc2bN2v27NmxrxcvXixJmj9/vtauXRtQVAAABITd6Jyj2AQAADDEzZo1S9byARoAAEgNik0AAAAAACB92OjBw9XYYDe6RIyscrWPKXTwjjFGubm5aTsNBH4jP+ErchMAACC16GxKwEgqUGvQYSBIS/P7+bxmt3F8hDFGBQUFKb0m0F/kJ3xFbgIAgDis2eRc2nY2VVVVqaysTOXl5b0es5KalEdfE7xjrVVTUxPrbsBL5Cd8RW4CAACkVtoWmyorK1VTU6Pq6upej1kZdWi4rGi3h1+stero6OANE7xEfsJX5CYAAIjT09nk6gDT6ICU6O+0PCnlU/MAAAAAAEgmik0AAAAAACB9sGaTc2k7je5wjKzy1M5udPCOMUZ5eXnsqAQvkZ/wFbkJAACQWnQ2JWAk5ak96DCAXnreMAE+Ij/hK3ITAADEobPJOTqbErCSGlRAXxO8Y61VQ0MDi9zCS+QnfEVuAgAApBadTQlYGXUqW1aGqXTwirVWnZ2dstYyHQTeIT/hK3ITAADEobPJOTqbAAAAAAAAkDR0NgEAAAAAgPQRjUoROptcStvOpqqqKpWVlam8vLzXY0ZWBWphCh28Y4xRQUEB00DgJfITviI3AQAAUitti02VlZWqqalRdXV1r8eMpFztFy9J4RtjjHJzc3nDBC+Rn/AVuQkAAOJE7YfrNiX9ONi0Ul5errKyMlVVVQV8s8FgGl0CVlK9ilSsBgpO8Iq1VvX19SouLuZNE7xDfsJX5CYAAEi16upqhcPhoMMIDMWmBKyMupXJbnTwjrVW3d3d7KgEL5Gf8BW5CQAA4tioZB29JrCs2SSl8TQ6AAAAAAAAJB+dTQAAAAAAIH1Eo1LUUWcTu9FJorMpISOrIjUxhQ7eMcaoqKiIaSDwEvkJX5GbAAAAqUVnUwJGUkhdQYcB9GKMUSgUCjoMICHyE74iNwEAQBw6m5yj2JRAVEZ1GqUS7VUG3U3wSDQaVV1dnUpKSpSR0c/GxKX5/Xxe88ADAzTA/ARSgNwEAABILYpNfYiKVnv4KUqlHB4jP+ErcjM5xo2TRjh69Thzpptxe2zb5nZ8SXrtNbfjn/Upt+PvqXU7fm6u2/Hb2tyOnwp797od/+SrZjgdf3jT+07HH/nan5yOX1PjdHjt2uV2fEmaM8ft+K7+nrUdcDNun+hsco5iE3As+ts1BAAAAABAmqDYBAAAAAAA0gedTc6xcEECRlbFamQ3OnjHGKPi4mJ2VIKXyE/4itwEAABIrbTtbKqqqlJVVZUikUivx4ykTEVYtQnBOMzUvIO5aQ4WQlnQG54xxigzM5M39PAOuQkAAOJEolLE0euCCJ1NUhp3NlVWVqqmpkbV1dW9HovKqFbFLBIO75Cb8Fk0GlVtbS0LMcM75CYAAEBqpW1nEwAAAAAASEOs2eRc2nY2AQAAAAAAIPnobAIAAAAAAOmDzibnKDYlkCGrUtUrg93o4BlyEz7LyMhQaWmpMjJomoVfgsrNX//610f9Peeff76GDx/uIBoAAIDUodiUgJUUUaaMulmGGV4hN+Eza60ikYiMMez6Ba8ElZtz5849qucbY/S///u/Oumkk9wEBAAAPmAl66oDicYAiTWbErIyqlehLG/n4RlyEz6z1qq+vl7W8g8s/BJkbvbsgtefIzc3N+XxAQAAuEBnEwAAgAPz588/qilxV111lcLhsMOIAACApA/WbHI4Nig2AQAAuLBmzZqjev7q1asdRQIAAJBaFJv6wALM8BW5CZ+xODh8RW4CAIAYOpuco9iUQM+OX4BvnObm0vyjeG6zmxgwqPXs+AX4Jqjc7O7u1kMPPSRrra6++moNGzYs5TEAAAAEgY/5ErCSOpVN/wi8Q27CZ9ZadXZ2skA4vBNUbn7jG99QUVGRCgoKdNttt6X02gAA4DCiUbeHpPLycpWVlamqqirgmw0GnU0JWBk1qEClqpfhbT08EpebR9OJBKSAtVYNDQ0qLS1N6fbywJEElZvRaFQdHR3KyMhQlJZ6AADSSnV1dVpv/EFnEwAAgAPLly9XJBJRV1eX/vmf/znocAAAQI8UdDalOzqbAAAAHBg2bJiuuuqqoMMAAABIubQtNlVVVamqqkqRSKTXY0ZWWYowhQ7eITfhM2OMsrKymEIH75CbAAAgDrvROZe20+gqKytVU1Oj6urqXo8ZSSVqEC9J4RtyEz4zxqikpIQ39PBOULn52muvHdVaTW+88Ya6u7sdRgQAAJAaaVtsOhwrqUM59I7AO+QmfGatVUdHB7vRwTtB5eYZZ5yhhoaGfj9/xowZ2rFjh8OIAACAJCkSdXsgfafRHY6VUZPCylEn05XgFXITPrPWqqmpSTk5OXQ3wStB5aa1Vt/85jeVm5vbr+d3dXU5jggAACA1KDYBAAA4cO655+rNN9/s9/NnzJih4cOHO4wIAABIYs2mFBhQsenVV1/VsGHDdPrpp0uS/uM//kNr1qxRWVmZli5dquzs7KQGCWCIW5p/FM9tdhcHACTRxo0bgw4BAADgiFzUeAa0ZtPf/u3f6s9//rMk6e2339YXv/hF5ebm6tFHH9Wtt946kCG9YmQVUhfTlOAdchM+M8YoFAoxhQ7eITcBAEAcG3V7DDIuajwDKjb9+c9/1tSpUyVJjz76qM4991z97Gc/09q1a/XLX/5yQIH4xEgqUhM7fsE75CZ8ZoxRUVERb+jhHXITAACgby5qPAMqNllrY1v5/uY3v9HnPvc5SdL48eO1d+/eAQXiEyupVSPoHYF3yE34zFqr1tZWdqODd8hNAAAQx9oP1m1ycAzC1xsuajwDKjZNnz5d3/72t/Xwww/rueee01/91V9JkrZv367Ro0cPKBCfWJkP3tDzCSj8Qm7CZ7yhh6/ITQAAgL65qPEMaIHwe++9V1dddZUee+wx3XHHHTrllFMkSb/4xS80c+bMAQUCAAAAv/3pT9LwAX1UeWSTJ7sZt0dpqdvxJem0uR93e4GxxzsdPvzEs07HHz5qhNPxdcklToc/7tQHnI4vSSf/52y3F7ig0u34r6xzOvywHTudjj/lXLebte/5s/uNblzv1fXuu27Gbe92M26folEp6ugD/Ojg+3DLRY1nQH+bpkyZotdff73X+bvvvltZWW7/ggLwQH93j2PnOACIef7553X//ffrrbfe0i9+8Qsdf/zxevjhhzVx4kSdffbZQYcHAADSlIsaz4A+mzrppJPU0NDQ6/z+/fv18Y87/kQnBYyscrWPHb/gHXITPjPGKDc3l0WY4R0fcvOXv/ylLrjgAg0fPlxbtmxRZ2enJKm1tVX/+I//GFhcAACkJVfrNfUcg4yLGs+ASlTvvPOOIpFIr/OdnZ1611VfXQoZSQVqDToMoJdBl5v97YDCkGCMUUFBQdBhAL34kJvf/va39YMf/EBXX321Hnnkkdj5mTNnatmyZQFGBgAA0p2LGs9RFZt+/etfx/7/qaeeUn7+h28kI5GIfvvb32rixIkDCsQnVlKz8pSvVpZhhlfITfjMWqvm5mbl5+fT3QSv+JCbb775ps4999xe58PhsJqamlIfEAAA6Yw1myS5rfEcVbFp7ty5kg5+Qjh//vy4x4YNG6YTTzxR3/ve9wYUiE+sjDo0XGG1MV0JXiE34TNrrTo6OhQOhyk2wSs+5OaYMWO0bds2nXjiiXHn//u//1snnXRSIDEBAID05rLGc1TFpugHcw8nTpyo6upqjRo1akAXBQAASCd/+7d/qxtvvFE//vGPZYzRrl279Lvf/U4333yzlixZEnR4AACkl0hUijj6ACoyeJoCXNZ4BrRm0/bt25MWAAAAwFB36623qrm5WbNnz9b+/ft17rnnKhQK6eabb9b1118fdHgAACCNuajxDGwPO0m//e1v9dvf/lZ1dXWxaliPH//4x8ccWJCMrPLUzjQleIfchM+MMcrLy2MKHbzjS25+5zvf0R133KGamhpFo1GVlZVp5MiRgcYEAEBaYs2mXpJd4xlQsemuu+7SsmXLNH36dI0ZMybwF2/JZiTlqT3oMIBeyE34rOcNPeAbn3IzNzdX06dPDzoMAACAGBc1ngEVm37wgx9o7dq1mjdv3jEHEJSqqipVVVUl3N7PSmpUgQrVxI5f8Aq5CZ9Za9XY2KjCwsIh9yEEBregcnPx4sX9fu6KFSscRgIAAOLQ2RTHRY1nQMWmrq4uzZw5M2lBBKGyslKVlZVqaWmJ295POrjjV6eyZWWYrgSvkJvwmbVWnZ2dstZSbIJXgsrNLVu2xH39yiuvKBKJ6NRTT5Uk/fnPf1ZmZqamTZuWspgAAAA+ykWNJ2Mg33TttdfqZz/7WVIDAQAAGEqeffbZ2HHxxRdr1qxZevfdd/Xqq6/q1Vdf1c6dOzV79mz91V/9VUriWbVqlSZOnKicnBxNmzZNzz//fEquCwCAd2zU7THIuKjxDKizaf/+/XrggQf0m9/8RpMnT9awYcPiHqcVHAAA4EPf+9739PTTT+u4446LnTvuuOP07W9/W3PmzNHf/d3fOb3+unXrdNNNN2nVqlX69Kc/rfvvv18VFRWqqanRhAkTnF4bAAD4zUWNZ0DFptdee01Tp06VJP3hD3+Ie2woTJ0wsipQC9OU4B1yEz4zxqigoGBI/DuAocWH3GxpadGePXv0iU98Iu58XV2dWltbnV9/xYoVWrBgga699lpJ0sqVK/XUU09p9erVWr58ufPrAwDgFdZsiuOixjOgYtOzzz47oIsNFkZSrvYHHQbQC7kJnxljlJubG3QYQC8+5OZll12mr3zlK/re976nT33qU5Kkl156Sbfccosuv/xyp9fu6urSK6+8ottuuy3u/Jw5c/Tiiy8m/J7Ozk51dnbGvm5paXEaIwAACI6LGs+A1mwa6qykOhXROwLvkJvwmbVWdXV1spYMhV98yM0f/OAH+qu/+itdddVVOuGEE3TCCSfoy1/+sioqKrRq1Sqn1967d68ikYhGjx4dd3706NGqra1N+D3Lly9Xfn5+7Bg/frzTGAEASCVrJRu1bg5eCksaYGfT7NmzD9tK9cwzzww4IB9YGXUrkx2/4B1yEz6z1qq7u5vd6OAdH3IzNzdXq1at0t1336233npL1lqdcsopGjFiRMpi+Oi9H+7P4/bbb9fixYtjX7e0tFBwAgBgiHJR4xlQsalnLl+PAwcOaOvWrfrDH/6g+fPnD2RIAACAIW/EiBGaPHlySq85atQoZWZm9upiqqur69Xt1CMUCikUCqUiPAAAUi4aPXi4GnuwcVHjGVCx6d577014funSpWpraxtQIAAAAEPVsmXLDvv4kiVLnF07Oztb06ZN04YNG3TZZZfFzm/YsEGXXnqps+sCAIDBwUWNZ0DFpr5cddVV+uQnP6l77rknmcOmnJFVkZqYpgTvkJvwmTFGRUVFTKGDd3zIzfXr18d9feDAAW3fvl1ZWVk6+eSTnRabJGnx4sWaN2+epk+frhkzZuiBBx7Qjh07tHDhQqfXBQDAR9HIwcPV2JJUXl6uzMxMVVZWqrKy0s3FHDuWGk9Si02/+93vlJOTk8whA2EkhdQVdBhAL+QmfGaMYdoNvORDbm7ZsqXXuZaWFl1zzTVx3UauXHnllWpoaNCyZcu0e/duTZo0SU888YROOOEE59cGACAdVVdXKxwOBx3GMTmWGs+Aik0f3aLXWqvdu3dr8+bN+uY3vzmgQHwSlVGdRqlEe5VBBwk8Qm7CZ9FoVHV1dSopKVFGBpudwh++5mY4HNayZct00UUXad68ec6vt2jRIi1atMj5dQAA8F3UHjxcjT3YuKjxDKjYlJ+fH/d1RkaGTj31VC1btkxz5swZUCC+iYppIPATudlPS/OP/BxJWtrsNo40Ex2MKyIiLfiam01NTWpu5vcQAAAIjosaz4CKTWvWrBnQxQAAANLRv/zLv8R93fOJ4cMPP6wLL7wwoKgAAEhP7EYXz0WN55jWbHrllVf0xz/+UcYYlZWV6YwzzkhWXAAAAEPGR3d5ycjIUHFxsebPn6/bb789oKgAAAA+lMwaz4CKTXV1dfriF7+ojRs3qqCgQNZaNTc3a/bs2XrkkUdUXFw84IB8YGRVrEZ2/IJ3yE34zBij4uJidqODd3zIzY0bN2r8+PG91oyy1mrnzp3Ky8sLKDIAANJPKnajG0xc1HgGtErm1772NbW0tOiNN95QY2Oj3n//ff3hD39QS0uLbrjhhoEM6RUjKVMRVsaBd8hN+MwYo8zMTIpN8I4PuXnSSSdp7969vc43NjZq4sSJAUQEAABwkIsaz4A6m5588kn95je/0WmnnRY7V1ZWpqqqqiGxQHhURrUqVqnq2fELXiE34bNoNKra2lqVlpZ6teMX4ENuWpv4d3ZbW9uAtxQGAAADw5pN8VzUeAZUbIpGoxo2bFiv88OGDfN2txcAAIBUW7x4saSD3VVLlixRbm5u7LFIJKLf//73mjp1akDRAQAAuKnxDKjYdN555+nGG2/Uz3/+c40dO1aS9N577+nrX/+6PvOZzwwoEAAAgKFmy5Ytkg52Nr3++uvKzs6OPZadna0pU6bo5ptvDio8AADSUtQePFyNPdi4qPEMqNh033336dJLL9WJJ56o8ePHyxijHTt26PTTT9dPfvKTAQUCAAAw1Dz77LOSpK985Sv6/ve/r3A4HHBEx+advVIo6CAGaMcO99doa/uz0/HH/+g6p+MP/8vFTsf/45UXOx3/tNwNTsdX1iK340vat2mz0/GHv3uL0/HV2OB0+D9u7XI6/mllTodXl9vwJUm1tW7Hf3yjm3E73QyLfnJR4xlQsWn8+PF69dVXtWHDBv3pT3+StVZlZWX67Gc/O6AgfJMhy5o48BK5CZ9lZGSwXhO85ENurlmzJrBrAwCAeKzZFM9Fjeeoik3PPPOMrr/+er300ksKh8M6//zzdf7550uSmpub9YlPfEI/+MEPdM455ww4IB9YSRFlyqibXb/gFXITPrPWKhKJyBjDjnTwSlC5uXjxYn3rW9/SiBEjYms39WXFihUpigoAAOAglzWeoyo2rVy5Utddd13CFvD8/Hz97d/+rVasWDEEik1G9SpUqepl6CCBR8hN+Mxaq/r6epWWllJsgleCys0tW7bowIEDsf/vC39fAABILWvddSD1sQGtl1zWeI6q2PQ///M/+ud//uc+H58zZ47uueeeow4CAPptaX7QEQBAv/Ss1yRJDz74oMaNG9drKp+1Vjt37kx1aAAAAE5rPEdVbNqzZ0/C7fBig2Vlqb6+fkCBAAAADFUTJ07U7t27VVJSEne+sbFREydOVCQSCSgyAADSTzRy8HA19mDhssZzVCtlHn/88Xr99df7fPy1117TmDFjBhSIb1iAGb4iN+EzFgeHr4LOTdtHT31bW5tycnJSHA0AAIDbGs9RdTZ97nOf05IlS1RRUdHrhdG+fft055136qKLLhpQID7p2fEL8A25CZ/17PgF+CbI3OxZGNwYoyVLlig3Nzf2WCQS0e9//3tNnTo1kNgAAEhXUXvwcDX2YOGyxnNUxaZ/+Id/0K9+9St9/OMf1/XXX69TTz1Vxhj98Y9/VFVVlSKRiO64444BBZJqVVVVsZg/ykrqUray1cWOX/AKuQmfWWvV1dWl7OxsFjyGV4LMzZ6Fwa21ev3115WdnR17LDs7W1OmTNHNN9+c0pgAAAAktzWeoyo2jR49Wi+++KK++tWv6vbbb4+1hBtjdMEFF2jVqlUaPXr0gAJJtcrKSlVWVqqlpUX5+fELDlsZNaiAHb/gHXITPrPWqqGhgd3o4J0gc7NnkfCvfOUr+v73v59wtxcAAJBa0ai73ehcjeuCyxrPURWbJOmEE07QE088offff1/btm2TtVYf+9jHdNxxxw0oAAAAgKFuzZo1QYcAAADQi6saz1EXm3ocd9xxKi8vP6aLAwAApJOamhrt2LFDXV1dcecvueSSgCICACD9sBtdb8mu8Qy42DSUGVllKcI0JXiH3ITPjDHKyspiCh2840Nuvv3227rsssv0+uuvyxgT16YuKeEakgAAAIMVe1QnYCSVqIEFmOEdchM+M8aopKSEYhO840Nu3njjjZo4caL27Nmj3NxcvfHGG9q0aZOmT5+ujRs3BhYXAADpqGfNJlcHKDYlZCV1KIfeEXiH3ITPrLXq6OiIdWwAvvAhN3/3u99p2bJlKi4uVkZGhjIyMnT22Wdr+fLluuGGGwKLCwAAwAWKTQlYGTUpLEv/CDxDbsJn1lo1NTVRbIJ3fMjNSCSikSNHSpJGjRqlXbt2STq4KOebb74ZWFwAAKSjqHV7gDWbAAAAnJs0aZJee+01nXTSSTrrrLP03e9+V9nZ2XrggQc0ceLEoMMDAABIKopNAAAAjv3DP/yD2tvbJUnf/va3ddFFF+mcc87RqFGj9MgjjwQcHQAA6cXl2kqs2XQQxaYEjKxC6mLHL3iH3ITPjDEKhUIsEA7v+JCbF1xwQez/TzrpJNXU1KixsVHt7e268847dd555wUWGwAAQLKxZlMCRlKRmlgVB94hN+EzY4yKioooNsE7vuZmYWGhGhsb9eCDDwYdCgAAaYXd6Nyj2JSAldSqEfSOwDvkJnxmrVVraysLhMM75CYAAEBqUWxKwMp88Iber09AAXITPuMNPXxFbgIAgEPZqBSNuDksnU2SKDYBAAAAAAAgiVggHAAAwJHLL7/8sI83NTWlJhAAABATtQcPV2ODYlNCRla52seOX/AOuQmfGWOUm5vr3SLMQJC5mZ+ff8THr7766hRFAwAAkBoUmxIwkgrUGnQYQC/kJnxmjFFBQUHQYQC9BJmba9asCeS6AACgby53jWM3uoNYsykBK6lJefSOwDvkJnxmrVVTUxOLMMM75CYAAEBqUWxKwMqoQ8PZ8QveITfhM2utOjo6eEMP75CbAADgUK52ous5wDQ6AOifpYdfdyX+uc3u4gAAAAAAz1FsAgAAAAAAaYM1m9yj2JSAkVWe2tnxC94hN+EzY4zy8vLYjQ7eITeTZ+5npRGOXj1u3Ohm3B4zZ7odX5La2lxfIex4/Hecjn5amdPhtecPe52On/v2w07Hl6THHnM7/he/uNvp+M8843R4lZa6Hf9/trodf/9+t+NL7n8GMye7GbcjIv3rG27GRjAoNiVgJOWpPegwgF7ITfis5w094BtyEwAAHCpqDx6uxgYLhCdkJTWogN4ReIfchM+stWpoaGARZniH3AQAAEgtOpsSsDLqVLasDNOV4BVy04GjWfgbh2WtVWdnp6y1TFeCV8hNAABwKNZsco/OJgAAAAAAACQNnU0AAAAAACBt0NnkHp1NCRhZFaiFaUrwDrkJnxljVFBQwDQleIfcBAAASC06mxIwknKVgn0pgaNEbsJnxhjl5uYGHQbQC7kJAAAOFY1IUUetN9GIm3EHG4pNCVhJ9SpSsRrEZ6DwCbmZpvq7iPnSZrdxHIG1VvX19SouLqaDBF4hNwEAAFKLYlMCVkbdymTHL3iH3ITPrLXq7u5mxy94h9wEAACHslaKOno7ZXmbJok1mwAAAAAAAJBEdDYBAAAAAIC0EbUOd6Ojs0kSnU0JGVkVqYlpSvAOuQmfGWNUVFTENCV4h9wEAABD3WWXXabjjjtOX/jCF4IORRLFpoSMpJC6WIAZ3iE34TNjjEKhEG/o4R1yEwAAHCoacXsE4YYbbtBDDz0UzMUToNiUQFRGtSpWlLf08Ay5CZ9Fo1HV1tYq6qonGRggchMAAAx1s2fPVl5eXtBhxFBs6gNv5uErchM+4808fEVuAgCAHtGo2+Nobdq0SRdffLHGjh0rY4wee+yxXs9ZtWqVJk6cqJycHE2bNk3PP//8sf9BOESxCQAAAAAAICDt7e2aMmWK7rvvvoSPr1u3TjfddJPuuOMObdmyReecc44qKiq0Y8eOFEfaf+xGBwAAAAAA0kbUuts1rmfclpaWuPOhUEihUCjh91RUVKiioqLPMVesWKEFCxbo2muvlSStXLlSTz31lFavXq3ly5cnJ/Ako7MpASOrYjWy4xe8Q27CZ8YYFRcXswgzvENuAgCAVBs/frzy8/Njx0CLQl1dXXrllVc0Z86cuPNz5szRiy++mIxQnaCzKQEjKVMRVsaBd8hN+MwYo8zMTN7QwzvkJgAAONRA11bq79iStHPnToXD4dj5vrqajmTv3r2KRCIaPXp03PnRo0ertrY29vUFF1ygV199Ve3t7Ro3bpzWr1+v8vLyAV0zGSg2JdCz41ep6pVBBwk8Qm7CZz07fpWWliojg8ZZ+IPcBAAAqRYOh+OKTcfqox+aWWvjzj311FNJu1YyDIlXXJdddpmOO+44feELXwg6FAAAAAAA4DHfdqM7nFGjRikzMzOui0mS6urqenU7+WRIFJtuuOEGPfTQQ0GHAQAAAAAAkDTZ2dmaNm2aNmzYEHd+w4YNmjlzZkBRHdmQmEY3e/Zsbdy4MegwAAAAAACA56IRKepoKcdo5Oi/p62tTdu2bYt9vX37dm3dulWFhYWaMGGCFi9erHnz5mn69OmaMWOGHnjgAe3YsUMLFy5MYuTJFXhn06ZNm3TxxRdr7NixMsboscce6/WcVatWaeLEicrJydG0adP0/PPPO40pQ5Y1ceAlchM+y8jIYE0ceIncBAAAPtu8ebPOOOMMnXHGGZKkxYsX64wzztCSJUskSVdeeaVWrlypZcuWaerUqdq0aZOeeOIJnXDCCUGGfViBdza1t7drypQp+spXvqLPf/7zvR5ft26dbrrpJq1atUqf/vSndf/996uiokI1NTWaMGGCk5ispIgyZdTNrl/wCrkJn1lrFYlEZIxh1y94hdwEAACHitqDh6uxj9asWbNk7eG/cdGiRVq0aNEAo0q9wItNFRUVqqio6PPxFStWaMGCBbr22mslSStXrtRTTz2l1atXa/ny5Ud9vc7OTnV2dsa+bmlpkXRwl6/oB2/fraR6FWq06uPe0BtZmQ8et4c8cqTz0Y+UBfo6nyHba4y+zg80lmSd556CuaeojPaoKNbdNBTuaSj+nKy1cf9Y9LzB7et89COrCPY+b/p3T4eMc6RrujgfjUZVV1enMWPG9PrHsq97zcjI6DV2X+eDuKfDxc49DZ57stZqz549dDcBAACkSODFpsPp6urSK6+8ottuuy3u/Jw5c/Tiiy8OaMzly5frrrvu6nV+j0ap44NZhTnaL0lqVp72Kyf2nDy1K0/talSBOpUdO1+gFuVqv+pVpG5lxs4XqUkhdalOo+LeCBerUZmKqFbFcTGUql4RZapehbFzPdOmupStBhXEzmcpohI1aJ9y1KQPt1MMqUtFalKbRqhVI2Lnc7VPBWpVs/LUoeHc0yC+pwYdJ6ODhY2hck9D7ufU2BhX1C4oKFBubq7q6+vV3d394T0VFSkUCqmuri7uDXJxcfFHdpwo7t89HbJDRVZWlkpKSrRv3z41NTV9eE+hkIqKitTW1qbW1tYP7yk3VwUFBWpublZHR8eH95SXp7y8vH7dk7VWBw4ckKR+3NNBpaWlikQiqq+v//CePpjy1NXVpYaGhkDvSTqanxP35Os9GWPU0NAQ19mUm5urdPGd73xH//mf/6mtW7cqOzs77ucCAEA6sg52jTt0bEkqLy9XZmamKisrVVlZ6eZiHjP2SL1aKWSM0fr16zV37lxJ0q5du3T88cfrhRdeiFtl/R//8R/14IMP6s0335QkXXDBBXr11VfV3t6uwsJCrV+/XuXl5Qmvkaizafz48Xr/trDCoQ87m/aomM4m7sm7e4rIaLdK6Gzy/Z7ubEpud8mywv7d05L3+31NV51Ne/bs0ZgxY/RRQ7VjhnsaHPdkrdWuXbviOpva2tqUn5+v5uZmhcNhDWV33nmnCgoK9O677+pHP/rRgIpNLS0tys/P128/K41w9FHlrl1uxu2Rig172trcjn/yw/e7vYC63A5/19ecDr+n9sjPORapqFEnWL42qb74RbfjP/OM2/FLS92O79r+/e6v4fpn8Bd/4Wbcjoh01Rty/u9yz79nv5gm5Tr696yjW/rCK+7vxXdedzb1+Oj6CtbauHNPPfVUv8cKhUIKhUK9zmfIxlZLj8p88EZeCRdi7ukq6e/5vhZzTsbYQZ3nnoKLPUvRD/LVHvH5g+WehtzPqY91Yfo639e0ng/PH/lnbSSZBOMcbSzHej4zM/MjscdLdD7VMQ70PPfkV+xHc0/WWmVlZSkjIyMtp9H1dHSvXbs22EAAAPBENDqwXeP6OzY8LzaNGjUqYTt/XV2dRo8e7ey6PdNSAN+Qm/BZz7QqwDfk5tHra43L3bul3My+vuvYuO4aSUVXivsPsP/G7fBvXOF0+Le2Hfk5x8J1Z1kqTJ/udvwBrkTSb472b0qZP/3J7fiTJ7sdX5LOPNPt+K++6mbc/d7Mt0KyeP3xXnZ2tqZNm6YNGzbEnd+wYUPctLpks5I6ld1H/wQQHHITPrPWqrOz84g7aQCpRm4eveXLlys/Pz92jB8/PuiQAABImmjU7QEPik1tbW3aunWrtm7dKknavn27tm7dqh07dkiSFi9erB/+8If68Y9/rD/+8Y/6+te/rh07dmjhwoXOYrIyalBBr3VRgKCRm/CZtVYNDQ28oYd3hmJuLl26NDaVsK9j8+bNAx7/9ttvV3Nzc+zYuXNnEqMHAABDXeDT6DZv3qzZs2fHvl68eLEkaf78+Vq7dq2uvPJKNTQ0aNmyZdq9e7cmTZqkJ554QieccEJQIQMAAATq+uuv1xePsNLviSeeOODx+1rjEgCAoSBqDx6uxoYHxaZZs2Yd8ZPGRYsWadGiRUm9blVVlaqqqhSJOFoVDED6Wprv/3WXNruLA4Bzo0aN0qhRo4IOAwAAIKHAi01BqaysVGVlZWzrw0MZWWUpknDHJyBI5CZ8ZoxRVlZWwh3CgCCle27u2LFDjY2N2rFjhyKRSGzpglNOOUUjR44MNjgAAAIQjUpRRy8LWLPpoLQtNh2OkVSihqDDAHohN+EzY4xKSkqCDgPoJd1zc8mSJXrwwQdjX59xxhmSpGeffVazZs0KKCoAADCUBb5AuI+spA7l0DsC75Cb8Jm1Vh0dHUNqEWYMDemem2vXrpW1ttdBoQkAkK5SsRtdeXm5ysrKVFVVFezNBoTOpgSsjJoUVo46ma4Er5Cb8Jm1Vk1NTcrJyUnb6UrwE7kJAABSrbq6WuFwOOgwAkOxCQAAAAAApI1oRHK1tFKUPcgkMY0OAAAAAAAASURnUwJGViF1MU0J3iE34TNjjEKhENOU4B1yEwAAHCpqDx6uxkYadzZVVVWprKxM5eXlvR4zkorUJF6SwjfkJnxmjFFRURFv6OEdchMAACC10rbYVFlZqZqaGlVXV/d6zEpq1Qh6R+AdchM+s9aqtbU1bXf8gr/ITQAAcKhU7EaX7tK22HQ4VuaDN/R8Agq/kJvwGW/o4StyEwAAILVYswkAAAAAAKSNaNThbnR0NkmiswkAAAAAAABJRGdTAkZWudrHjl/wDrkJnxljlJubyyLM8A65CQAADmUddjZZOpsk0dmUkJFUoFZWxYF3yE34zBijgoIC3tDDO+QmAABItfLycpWVlamqqiroUAJBZ1MCVlKz8pTPm3p4htyEz6y1am5uVn5+Pm/q4RVyEwAAHCpqDx6uxpak6upqhcNhNxcZBOhsSsDKqEPD2fEL3iE34TNrrTo6OtjxC94hNwEAAFKLziYAAAAAAJA22I3OvbQtNlVVVamqqkqRSCToUADAX0vz+/m85uSOdzRjJttgiBEAAADwWNpOo6usrFRNTY2qq6t7PWZklad2dvyCd8hN+MwYo7y8PNbEgXfITQAAcKho1O2BNO5sOhwjKU/tQYcB9EJuwmc9b+gB35CbAAAAqZW2nU2HYyU1qIDeEXiH3ITPrLVqaGhgEWZ4h9wEAACHikbcHqDYlJCVUaey2fEL3iE34TNrrTo7O3lDD++QmwAAAKnFNDoAAAAAAJA22I3OPTqbAAAAAAAAkDR0NiVgZFWgFnb8gnfITfjMGKOCggJ2/IJ3yE0AAHCoqD14uBobFJsSMpJytT/oMIBeyE34zBij3NzcoMMAeiE3AQAAUotiUwJWUr2KVKwGlmGGV8hN+Mxaq/r6ehUXF9NBAq+Qm8nz+zekUNBBDFBBgftrnHii2/Gz7nCbvzU1TodXU5Pb8V1LRQ5lZ7sdf/Jkt+P/+c9ux3/1Vbfjl5a6HX/bNrfjS9JvXnJ/DRc6gw7AgfLycmVmZqqyslKVlZVBh5NyFJsSsDLqVqasDNOV4BVyEz6z1qq7u1vWWt7QwyvkJgAAOFQ04nAa3QcLhFdXVyscDru5yCCQtguEV1VVqaysTOXl5UGHAgAAAAAAMGSkbbGpsrJSNTU1qq6uDjoUAAAAAACQIlF7sAPJycEEFElpXGw6HCOrIjUxTQneITfhM2OMioqKmKYE75CbAAAAqcWaTQkYSSF1BR0G0Au5CZ8ZYxQKDdalgzGUkZsAAOBQNipFHX0GZekLkERnU0JRGdWqWFH2+4JnyE34LBqNqra2VtGeVREBT5CbAAAAqUVnUx94Mw9fkZvwGW/m4StyEwAA9IhaydUrA9ZsOojOJgAAAAAAACQNnU0AAAAAACBtRB2u2URn00F0NiVgZFWsRnb8gnfITfjMGKPi4mJ2/IJ3yE0AAIDUorMpASMpUxFWxoF3yE34zBijzMxM3tDDO+QmAAA4VDRCZ5NrdDYlwI5f8BW5CZ+x4xd8RW4CAACkFp1NAAAAAAAgbbBmk3tpW2yqqqpSVVWVIpFI0KEAQOotzQ86giNLdoxLm5M7HgAAAICE0nYaXWVlpWpqalRdXR10KAAAAAAAIEWi1u0hSeXl5SorK1NVVVWwNxuQtO1sOpwMWZWqXhns+AXPkJvwWUZGhkpLS5WRkbafY8BT5CYAAEi16upqhcPhoMMIDMWmBKykiDJl1M0yzPAKuQmfWWsViURkjGHXL3iF3AQAAIdiNzr3+IgvASujehXK8nYeniE34TNrrerr62Ut/8LCL+QmAABAatHZBAAAAAAA0ga70blHZxMAAAAAAACShs6mPrAAM3xFbsJnLMAMX5GbAACgx6G7xiV9bDfDDjoUmxLo2fEL8A25CZ/17PgF+IbcBAAASC0+5kvASupUNv0j8A65CZ9Za9XZ2ckizPAOuQkAAA5ldbADycXBq42DKDYlYGXUoAJ2/IJ3yE34zFqrhoYG3tDDO+QmAABAajGNDgAAAAAApI2eLiRXY4POJgAAAAAAACQRnU0JGFllKSLDbEt4htyEz4wxysrKkjFM84RfyE0AAHAoOpvco9iUgJFUooagwwB6ITfhM2OMSkpKgg4D6IXcBAAASC2m0SVgJXUoh94ReIfchM+stero6GARZniH3AQAAIdytROdy46pwSZtO5uqqqpUVVWlSCTS6zEroyaFlaNOpivBK+QmfGatVVNTk3JycvycrrQ0P+gIEBDvc3MQOW6YlOPoj7Cxy824PcaOdTu+JNXWuh3/V79yO/5FF7kdf/9+t+Pn5Lgdf+RIt+NLUpfjvwcvv+x2fNdmznQ7/muvuR3f9e8ISTrJcSPvT+rcjNvtZlgEKG07myorK1VTU6Pq6uqgQwEAAAAAAClCZ5N7aVtsAgAAAAAAQPKl7TS6wzGyCqmLaUrwDrkJnxljFAqFmKYE75CbAADgUOxG5x6dTQkYSUVqEi9J4RtyEz4zxqioqIg39PAOuQkAAFKtvLxcZWVlqqqqCjqUQNDZlICV1KYRGql23tTDK+QmfGatVVtbm0aOHMmbeniF3AQAAIdKRWdTdXW1wuGwo6v4j86mBKyMWjVClrfz8Ay5CZ9Za9Xa2sr28vAOuQkAAJBadDYBAAAAAIC0wZpN7tHZBAAAAAAAgKShsykBI6tc7WPHL3iH3ITPjDHKzc1lTRx4h9wEAACHorPJPYpNCRhJBWoNOgygF3ITPjPGqKCgIOgwgF7ITQAAgNRiGl0CVlKT8ugdgXfITfjMWqumpiYWYYZ30jk333nnHS1YsEATJ07U8OHDdfLJJ+vOO+9UV1dX0KEBABAYqw+7m5J9pN+rjcTobErAyqhDwxVWG9OV4BVyEz6z1qqjo0PhcJjpSvBKOufmn/70J0WjUd1///065ZRT9Ic//EHXXXed2tvbdc899wQdHgAAGKIoNgEAAAxRF154oS688MLY1yeddJLefPNNrV69mmITACBtsWaTexSbAAAA0khzc7MKCwsP+5zOzk51dnbGvm5paXEdFgAAGEJYsykBI6s8tTNNCd4hN+EzY4zy8vLSbpoS/Edufuitt97Sv/7rv2rhwoWHfd7y5cuVn58fO8aPH5+iCAEAcM/Vek0uO6YGG4pNCRjpgzf0gF/ITfiMN/Tw1VDMzaVLl8oYc9hj8+bNcd+za9cuXXjhhbriiit07bXXHnb822+/Xc3NzbFj586dLm8HAAAMMUyjS8BKalSBCtXEm3p4hdyEz6y1amxsVGFh4ZB6U4/Bbyjm5vXXX68vfvGLh33OiSeeGPv/Xbt2afbs2ZoxY4YeeOCBI44fCoUUCoWONUwAALzEmk3uUWxKwMqoU9myMkxXglfITfjMWqvOzk5Za4fMG3oMDUMxN0eNGqVRo0b167nvvfeeZs+erWnTpmnNmjXKyKCxHQAAuEWxCQAAYIjatWuXZs2apQkTJuiee+5RfX197LHS0tIAIwMAIDh0NrmXtsWmqqoqVVVVKRKJBB0KAAx+S/N1cFWxYkn1Ep13gBeefvppbdu2Tdu2bdO4cePiHrOWv6cAAMCNtO2jrqysVE1Njaqrq3s9ZmRVoBamKcE75CZ8Rn7CV8YYFRQUDJkpdEfjmmuukbU24QEAQLpiNzr30raz6XCMpFztDzoMoBdyEz4jP+ErY4xyc3ODDgMAACBtpG1n0+FYSXUq4rN5eIfchM/IT/jKWqu6ujq6eQAAgCQ6m1KBYlMCVkbdypRlc3l4htyEz8hP+Mpaq+7ubopNAAAAKcI0OgAAAAAAkDbYjc49OpsAAAAAAACQNHQ2JWBkVaQmdlSCd8hN+Iz8hK+MMSoqKkrL3egAAEBvdDa5R2dTAkZSSF2sOgLvkJvwGfkJXxljFAqFKDYBAICUKS8vV1lZmaqqqoIOJRB0NiUQlVGdRqlEe5XBJ/TwCLkJn5Gf8FU0GlVdXZ1KSkqUkcHnbAAApDsrdx1IPa+Cq6urFQ6HHV3FfxSb+hDls3l4ityEz8hP+Coapak9Gf50QMp2NHaZq4E/8JOfuB1fks480+34J53kdvyaGrfj5+S4HX//frfjP/GE2/ElaeFCt+M/9pjb8R/vcjv+kk+5HR9A8lBsAgAAAAAAaYM1m9yjlxwAAAAAAABJQ2dTAkZWxWpkRyV4h9yEz8hP+MoYo+LiYhYIBwAAkuhsSgU6mxIwkjIVYeUReIfchM/IT/jKGKPMzEyKTQAAAClCsSmBqIxqVcxCt/AOuQmfkZ/wVTQaVW1tLYuEAwAASR92Nrk6QLEJAAAAAAAAScSaTQAAAAAAIG2wZpN7dDYBAAAAAAAgaehsSiBDVqWqVwY7KsEz5CZ8Rn7CVxkZGSotLVVGBp+xAQAAOptSgVddCVhJEWXydgneITfhM/ITvrLWKhKJyFqyEwAAIBUoNiVgZVSvQll2VIJnyE34jPyEr6y1qq+vp9gEAAAksRtdKlBsAgAAAAAAQNKwZhMAAAAAAEgbrNnkHp1NfWCBW/iK3ITPyE/4isXBAQAAUofOpgR6dlQCfENuwmfkJ3zVsxsdAACARGdTKvAxXwJWUqey+Xwe3iE34TPyE76y1qqzs5MFwgEAAFKEYlMCVkYNKmBHJXiH3ITPyE/4ylqrhoYGik0AAEDSwQ9JXe1Ex6uNgyg2AQAAAAAAIGnSds2mqqoqVVVVKRKJBB0KAAAHLc13MGZz8scEAAAYxFizyb207WyqrKxUTU2Nqqurez1mZJWliAwNcPAMuQmfkZ/wlTFGWVlZMoYpngAAAKmQtp1Nh2Mklagh6DCAXshN+Iz8hK+MMSopKQk6DAAA4Ak6m9xL286mw7GSOpTDZ/PwDrkJn5Gf8JW1Vh0dHSwQDgAAkCIUmxKwMmpSmB2V4B1yEz4jP+Era62ampooNgEAAEnudqJz2TE12FBsAgAAAAAAQNKwZhMAAAAAAEgbrNnkHp1NCRhZhdTFjkrwDrkJn5Gf8JUxRqFQiN3oAAAAUoTOpgSMpCI1BR0G0Au5CZ+Rn/CVMUZFRUVBhwEAADxBZ5N7dDYlYCW1agSfzcM75CZ8Rn7CV9Zatba2skA4AABAilBsSsDKfPCGiXZ7+IXchM/IT/iKYhMAADgUu9G5xzQ6AAAA9Mu/uxy8y+Xg0s1uh5ckLXvJ7fgXZbsd/y/+wu34rnV0uB3/vPPcji9JL7/sdvyZM92OP26H2/F/4vjv2JyT3I7/kzq340vSi47Hd5xCGEIoNgEAAAAAgLTBmk3uMY0uASOrXO1jRyV4h9yEz8hP+MoYo9zcXHajAwAASBGKTQkYSQVqZdUReIfchM/IT/jKGKOCggKKTQAAQFJq1mwqLy9XWVmZqqqqUnNTnmEaXQJWUrPylM+bJniG3ITPyE/4ylqr5uZm5efnU3ACAAApUV1drXA4HHQYgaGzKQErow4NZ0cleIfchM/IT/jKWquOjg52owMAAJIOfkjqqquJVxsHUWwCAAAAAABA0jCNDgAAAAAApI2o5KwXn93oDqKzKQEjqzy1s6MSvENuwmfkJ3xljFFeXh7rNQEAAKQInU0JGEl5ag86DKAXchM+Iz/hq55iEwAAgERnUyrQ2ZSAldSgAj6bh3fITfiM/ISvrLVqaGhggXAAAIAUobMpASujTmXLyjAdBF4hN+Ez8hO+staqs7NT1lqm0gEAADqbUoDOJgAAAAAAACQNnU0AAAAAACBt0NnkHp1NCRhZFaiFaSDwDrkJn5Gf8JUxRgUFBUyhAwAASBE6mxIwknK1P+gwgF7ITfiM/ISvjDHKzc0NOgwAAOAJOpvco7MpASupTkV8Ng/vkJvwGfkJX1lrVVdXx250AAAAKUJnUwJWRt3KZEcleIfchM/IT/jKWqvu7m52owMAAJLobEoFOpsAAAAAAACQNHQ2AQAAAACAtEFnk3t0NiVgZFWkJqaBwDvkJnxGfsJXxhgVFRUxhQ4AACBF6GxKwEgKqSvoMIBeyE34jPyEr4wxCoVCQYcBAAA8QWeTe3Q2JRCVUa2KFXWWfsDAkJvwGfkJX0WjUdXW1ioa5eUfAABAKtDZ1AfeLMFX5CZ8Rn7CVxSaAABADyt3HUgsKHEQnU0AAAAAAABIGjqbAAAAAABA2nDZ70wv9UF0NiVgZFWsRnZUgnfITfiM/ISvjDEqLi5mNzoAAIAUodiUgJGUqQgrj8A75CZ8Rn7CV8YYZWZmpm2x6ZJLLtGECROUk5OjMWPGaN68edq1a1fQYQEAEJio4wMUmxJiRyX4ityEz8hP+Crdd6ObPXu2/v3f/11vvvmmfvnLX+qtt97SF77whaDDAgAAQxhrNgEAAAxhX//612P/f8IJJ+i2227T3LlzdeDAAQ0bNizAyAAACAZrNrlHsQkAACBNNDY26qc//almzpx52EJTZ2enOjs7Y1+3tLSkIjwAADBEUGwCAAAY4v7+7/9e9913nzo6OvSpT31Kjz/++GGfv3z5ct111129zjc3NyscDrsK06lUrNl1lePxH+9yO37ja27Hd60w2+34Lw7yPx9JmjnZ7fivve12fNeedhz/SW6HT8k1HrZuNoJpaWlRfn6+k7ETobPJvSGxZtPjjz+uU089VR/72Mf0wx/+8JjHy5BVqeqVwY5K8Ay5CZ+Rn/BVRkaGSktLlZExJF72SJKWLl0qY8xhj82bN8eef8stt2jLli16+umnlZmZqauvvlr2MG8Ybr/9djU3N8eOnTt3puK2AADAEDHoO5u6u7u1ePFiPfvsswqHwzrzzDN1+eWXq7CwcMBjWkkRZcqom2Vu4RVyEz4jP+Era60ikUisCDMUXH/99friF7942OeceOKJsf8fNWqURo0apY9//OM67bTTNH78eL300kuaMWNGwu8NhUIKhULJDBkAAG/Q2eTeoC82vfzyy/rEJz6h448/XpL0uc99Tk899ZT+v//v/xvwmFZG9SpUqepl+IQeHiE34TPyE76y1qq+vl6lpaVDptjUUzwaiJ6OpkPXZAIAAEimwPvJN23apIsvvlhjx46VMUaPPfZYr+esWrVKEydOVE5OjqZNm6bnn38+9tiuXbtihSZJGjdunN57771UhA4AAOC1l19+Wffdd5+2bt2q//f//p+effZZfelLX9LJJ5/cZ1cTAABDXdTxAQ+KTe3t7ZoyZYruu+++hI+vW7dON910k+644w5t2bJF55xzjioqKrRjxw5JSrjewFD51BIAAOBYDB8+XL/61a/0mc98Rqeeeqr++q//WpMmTdJzzz3HNDkAAOBM4NPoKioqVFFR0efjK1as0IIFC3TttddKklauXKmnnnpKq1ev1vLly3X88cfHdTK9++67Ouuss/ocr6+tfKMyin6wyojVwYVu7QfnexhZmQ8et0dxPvqR1Uv6Ot9zTduP8wONJVnnuafg7kmHxDRU7mko/pzS8Z6iMuqZPjdU7ulwscfOR+M/v8rIyJC1tteHIYnO96wh9OH5/v3dPurzfVz3o7H3df7Y7im15xPdU4+PPpYOTj/9dD3zzDNBhwEAgFdYs8m9wItNh9PV1aVXXnlFt912W9z5OXPm6MUXX5QkffKTn9Qf/vAHvffeewqHw3riiSe0ZMmSPsfsayvfPRqljg8avXK1T6WqV5Py1KHhsefkqV15alejCtSpD/dWLVCLcrVf9SpStzJj54vUpJC6VKdRcW9SitWoTEVUq+K4GEpVr4gyVa8PFzfv2d2pS9lqUEHsfJYiKlGD9ilHTfpwC+KQulSkJrVphFo1InY+V/tUoFY1c0+D+p6adHA70DqNGjL3NBR/Tul+TxmyqlXxkLqnPn9OSwuSfE/FDu5Jqq+vV3d394f3VFSkUCikurq6uAJMcXGxMjMzVVtbG39PpaWKRCKqr6+XHvjLo7wnHfmelr6r5uZmdXR0fHhPeXnKy8tTY2Nj3IdEBQUFys3NPep7kqS6uroPr5ubKwAAALhh7OH2vU0xY4zWr1+vuXPnSvpwPaYXXnhBM2fOjD3vH//xH/Xggw/qzTfflCT9+te/1s0336xoNKpbb71Vf/M3f9PnNRJ1No0fP17v3xZWONTzJsLqgLI1TF1SEj5RTqtP+LknxzFKnQopW10yQ+SehuLPKV3vyUo6oGEKqatXjIP1ng4X+6C5p6XNye1sWhZfRHMdY7I6m/bv36/s7OzY121tbcrPz1dzc7PC4bBweC0tLYP+zysVyyxc5Xj8tx2PP/PIT/FaYfaRn3MsGrvcjp8KMye7Hf/F19yOX3vkp8Cxhx2VD1L170zPdQrlbk2hqKRGaVD/m5kMXnc29fjoiwNrbdy5Sy65RJdcckm/xuprK98M2ViyRWXUoAKVql4Z6v2XqedNfn/PJxqjr/NHO3ZQ57mnYGKUjN5Xfq/cHMz3NBR/Tul6T1EZNR7md6c0+O7pSLH3dd632HsKMb1iz0j8MivR+Q/HiB/fdYxHez5R7NFoVO+//75KS0v7vGcAAAAkj9fFplGjRiVs56+rq9Po0aMDigoAAAAAAAxWVu7WVnLT+zX4eP3xXnZ2tqZNm6YNGzbEnd+wYUPctDoAAAAAAAD4IfDOpra2Nm3bti329fbt27V161YVFhZqwoQJWrx4sebNm6fp06drxowZeuCBB7Rjxw4tXLjQWUxGVlmK9DGNCQgOuQmfkZ/wlTFGWVlZKVmzBwAA+C+qg1P7XeCV8EGBF5s2b96s2bNnx75evHixJGn+/Plau3atrrzySjU0NGjZsmXavXu3Jk2apCeeeEInnHCCs5iMpBI1OBsfGChyEz4jP+ErY4xKSkqCDgMAACBtBF5smjVrlo60Id6iRYu0aNGipF63qqpKVVVVikQivR6zkvYpR8O131m1ExgIchM+Iz/hK2ut9u3bp+HDh9PdBAAA6GxKAa/XbHKpsrJSNTU1qq6u7vWYlVGTwr22rQaCRm7CZ+QnfGWtVVNT0xE/3AIAAEByBN7ZBAAAAAAAkCp0NrmXtp1NAAAAAAAASD46mxIwsgqpix2V4B1yEz4jP+ErY4xCoRDrNQEAAEl0NqUCxaYEjKQiNQUdBtALuQmfkZ/wlTFGRUVFQYcBAACQNphGl4CV1KoRVCThHXITPiM/4StrrVpbW1kgHAAASDrY2eTyAMWmhKzMB2+YaLeHX8hN+Iz8hK8oNgEAAKRW2habqqqqVFZWpvLy8qBDAQAAAAAAKUJnk3tpW2yqrKxUTU2Nqqurgw4FAAAAAABgyEjbYtPhGFnlah87KsE75CZ8Rn7CV8YY5ebmshsdAACQNDQ7mx5//HGdeuqp+tjHPqYf/vCHAUXxIXajS8BIKlBr0GEAvZCb8Bn5CV8ZY1RQUBB0GAAAAE50d3dr8eLFevbZZxUOh3XmmWfq8ssvV2FhYWAx0dmUgJXUpDw+m4d3yE34jPyEr6y1ampqYoFwAAAgaeh1Nr388sv6xCc+oeOPP155eXn63Oc+p6eeeiqASD5EsSkBK6MODWdHJXiH3ITPyE/4ylqrjo4Oik0AAMBLmzZt0sUXX6yxY8fKGKPHHnus13NWrVqliRMnKicnR9OmTdPzzz8fe2zXrl06/vjjY1+PGzdO7733XipC7xPFJgAAAAAAkDas3HU1DeSjrfb2dk2ZMkX33XdfwsfXrVunm266SXfccYe2bNmic845RxUVFdqxY8fB+0nwgVrQa1Wm/ZpNPT+Uls4PfzhRSa2KKldWGUwIgUfITfiM/PRUS0tyx+t08LNNdowfEY1G1draqtzcXGVkZHxwyYPXpNupf2Kvlxz/rAa7Lsfjdzsev9Px+K7td/zXebD/+UhSR8Tt+K7/jFz/HcORufp3YCj+u/zRP6tQKKRQKJTwuRUVFaqoqOhzrBUrVmjBggW69tprJUkrV67UU089pdWrV2v58uU6/vjj4zqZ3n33XZ111llJuItjYNPczp07rQ4WHzk4ODg4ODjS7Ni5c2fQL0UGBV4vcXBwcHCk4nD97/K+fftsaWmp8/sYOXJkr3N33nlnv2KUZNevXx/7urOz02ZmZtpf/epXcc+74YYb7LnnnmuttfbAgQP2lFNOse+++65taWmxp5xyit27d2+y/tgGJO07m8aOHaudO3cqLy8v1mbW0tKi8ePHa+fOnQqHwwFHeGzKy8tVXV09JK57rGMO5PuP5nv6+9z+PK+v5wyl3JSCyc+hkptH+33Jys/DPT6U8pPfncf2/YPhd6e1Vq2trRo7dmy/4kx3iV4vJdNQ+v3RH+l2v1L63TP3O/Sl2z27vt9U/buck5Oj7du3q6vLbZ+ctbbXv5d9dTUdyd69exWJRDR69Oi486NHj1Ztba0kKSsrS9/73vc0e/ZsRaNR3XrrrSoqKhpY8EmS9sWmjIwMjRs3LuFj4XB40P/iyMzMDOQeXFz3WMccyPcfzff097n9ed6RnjMUclMKJj+HSm4e7fclKz/7M85QyE9+dx7b9w+W3535+fn9ihGHf72UTEPh98fRSLf7ldLvnrnfoS/d7tnl/abq3+WcnBzl5OSk5FrJ9NHi1UcLWpdccokuueSSVIfVJxYIH+IqKyuHzHWPdcyBfP/RfE9/n9uf5wX1c0u1IO5zqOTm0X5fsvKT3Bx81+V3JwAAwOA1atQoZWZmxrqYetTV1fXqdvKJsXYIrcCVJC0tLcrPz1dzc3NaVanhP3ITPiM/4Sty03/p9jNKt/uV0u+eud+hL93uOd3uN0jGGK1fv15z586NnTvrrLM0bdo0rVq1KnaurKxMl156qZYvXx5AlEeW9tPoEgmFQrrzzjsHPKcScIXchM/IT/iK3PRfuv2M0u1+pfS7Z+536Eu3e063+021trY2bdu2Lfb19u3btXXrVhUWFmrChAlavHix5s2bp+nTp2vGjBl64IEHtGPHDi1cuDDAqA+PziYAAAAAAICAbNy4UbNnz+51fv78+Vq7dq0kadWqVfrud7+r3bt3a9KkSbr33nt17rnnpjjS/qPYBAAAAAAAgKRhgXAAAAAAAAAkDcUmAAAAAAAAJA3FJgAAAAAAACQNxSYAAAB445JLLtGECROUk5OjMWPGaN68edq1a1fQYTnzzjvvaMGCBZo4caKGDx+uk08+WXfeeae6urqCDs2Z73znO5o5c6Zyc3NVUFAQdDhJt2rVKk2cOFE5OTmaNm2ann/++aBDcmbTpk26+OKLNXbsWBlj9NhjjwUdklPLly9XeXm58vLyVFJSorlz5+rNN98MOiynVq9ercmTJyscDiscDmvGjBn6r//6r6DDwiBAsekYXXbZZTruuOP0hS98IehQAD3++OM69dRT9bGPfUw//OEPgw4HiOF3JXy1c+dOzZo1S2VlZZo8ebIeffTRoENKe7Nnz9a///u/680339Qvf/lLvfXWW0P6d8ef/vQnRaNR3X///XrjjTd077336gc/+IG+8Y1vBB2aM11dXbriiiv01a9+NehQkm7dunW66aabdMcdd2jLli0655xzVFFRoR07dgQdmhPt7e2aMmWK7rvvvqBDSYnnnntOlZWVeumll7RhwwZ1d3drzpw5am9vDzo0Z8aNG6d/+qd/0ubNm7V582add955uvTSS/XGG28EHRo8x250x+jZZ59VW1ubHnzwQf3iF78IOhykse7ubpWVlenZZ59VOBzWmWeeqd///vcqLCwMOjSA35Xw1u7du7Vnzx5NnTpVdXV1OvPMM/Xmm29qxIgRQYeGD/z617/W3Llz1dnZqWHDhgUdTkrcfffdWr16td5+++2gQ3Fq7dq1uummm9TU1BR0KElz1lln6cwzz9Tq1atj50477TTNnTtXy5cvDzAy94wxWr9+vebOnRt0KClTX1+vkpISPffcc15vQZ9shYWFuvvuu7VgwYKgQ4HH6Gw6RrNnz1ZeXl7QYQB6+eWX9YlPfELHH3+88vLy9LnPfU5PPfVU0GEBkvhdCX+NGTNGU6dOlSSVlJSosLBQjY2NwQaFmMbGRv30pz/VzJkz06bQJEnNzc18WDQIdXV16ZVXXtGcOXPizs+ZM0cvvvhiQFHBpebmZklKm7+vkUhEjzzyiNrb2zVjxoygw4HnhnSxqT9ziNNpTjX8dqz5umvXLh1//PGxr8eNG6f33nsvFaFjiON3KXyWzPzcvHmzotGoxo8f7zhqHMnf//3fa8SIESoqKtKOHTv0H//xH0GHlDJvvfWW/vVf/1ULFy4MOhQcpb179yoSiWj06NFx50ePHq3a2tqAooIr1lotXrxYZ599tiZNmhR0OE69/vrrGjlypEKhkBYuXKj169errKws6LDguSFdbDrSHOL+zKmeNm2aJk2a1OsYygtVIhjHmq+JZsQaY5zGjPSQjN+lgCvJys+GhgZdffXVeuCBB1IRdtpZunSpjDGHPTZv3hx7/i233KItW7bo6aefVmZmpq6++uqE/8757GjvWTr4wdGFF16oK664Qtdee21AkQ/MQO53qPro6y9rLa/JhqDrr79er732mn7+858HHYpzp556qrZu3aqXXnpJX/3qVzV//nzV1NQEHRY8lzZrNiWaQ5ysOdUbN27UfffdxzokSJqB5OuLL76ou+++W+vXr5ck3XjjjTrrrLP0pS99KdXhYwg7lt+l/K6EawPNz87OTp1//vm67rrrNG/evFSHnRb27t2rvXv3HvY5J554onJycnqdf/fddzV+/Hi9+OKLg2raxtHe865duzR79mydddZZWrt2rTIyBtdnwgP5GQ+1NZu6urqUm5urRx99VJdddlns/I033qitW7fqueeeCzA699Jpzaavfe1reuyxx7Rp0yZNnDgx6HBS7rOf/axOPvlk3X///UGHAo9lBR1AUHrmVN92221x55lTDR/1J18/+clP6g9/+IPee+89hcNhPfHEE1qyZEkQ4SKN8LsUPutPflprdc011+i8886j0OTQqFGjNGrUqAF9b8/nop2dnckMybmjuef33ntPs2fP1rRp07RmzZpBV2iSju1nPFRkZ2dr2rRp2rBhQ1yxacOGDbr00ksDjAzJYq3V1772Na1fv14bN25My0KTdPDPYbD9TkbqpW2xKVlzqi+44AK9+uqram9v17hx47R+/XqVl5cnO1ykuf7ka1ZWlr73ve9p9uzZikajuvXWW1VUVBREuEgj/f1dyu9KBKE/+fnCCy9o3bp1mjx5cmy9p4cfflinn356qsOFDm528fLLL+vss8/Wcccdp7fffltLlizRySefPKi6mo7Grl27NGvWLE2YMEH33HOP6uvrY4+VlpYGGJk7O3bsUGNjo3bs2KFIJKKtW7dKkk455RSNHDky2OCO0eLFizVv3jxNnz5dM2bM0AMPPKAdO3YM2TW42tratG3bttjX27dv19atW1VYWKgJEyYEGJkblZWV+tnPfqb/+I//UF5eXuzfkvz8fA0fPjzg6Nz4xje+oYqKCo0fP16tra165JFHtHHjRj355JNBhwbPpW2xqcexzqlmty+k0pHy9ZJLLtEll1yS6rCAI+YmvysRpMPl59lnn61oNBpEWEhg+PDh+tWvfqU777xT7e3tGjNmjC688EI98sgjCoVCQYfnxNNPP61t27Zp27ZtGjduXNxjQ3W1iyVLlujBBx+MfX3GGWdIkp599lnNmjUroKiS48orr1RDQ4OWLVum3bt3a9KkSXriiSd0wgknBB2aE5s3b9bs2bNjXy9evFiSNH/+fK1duzagqNzpmZL90Txds2aNrrnmmtQHlAJ79uzRvHnztHv3buXn52vy5Ml68skndf755wcdGjyXtsWmUaNGKTMzs1cXU11dXa9PQIGgka/wFbkJn5Gfg8/pp5+uZ555JugwUuqaa64Zsm9S+7J27dohWYjosWjRIi1atCjoMFJi1qxZQ7Yomkg63WuPH/3oR0GHgEFq8E0IT5JD51QfasOGDZo5c2ZAUQGJka/wFbkJn5GfAAAAwRjSnU1HmkOcbnOq4TfyFb4iN+Ez8hMAAMA/xg7hXsCNGzfGzSHucegc4lWrVum73/1ubE71vffeq3PPPTfFkQLkK/xFbsJn5CcAAIB/hnSxCQAAAAAAAKmVtms2AQAAAAAAIPkoNgEAAAAAACBpKDYBAAAAAAAgaSg2AQAAAAAAIGkoNgEAAAAAACBpKDYBAAAAAAAgaSg2AQAAAEA/zJo1SzfddJO3Y8+aNUvGGBljtHXr1tj5rq4u/d3f/Z1uvvlmdXV1xc5fc801sec/9thjx3RtADgUxSYAAAAA3rvmmms0d+7cQGP41a9+pW9961uxr10Wnwbquuuu0+7duzVp0qTYuXXr1unMM8/Upz/9aT388MOx89///ve1e/fuIMIEMMRlBR0AAAAAAAwGhYWFQYdwRLm5uSotLY07F41GNWzYMEUiEUWj0dj5/Px85efnpzpEAGmAziYAAAAAg1pnZ6duuOEGlZSUKCcnR2effbaqq6vjnjNr1izdcMMNuvXWW1VYWKjS0lItXbo07jmtra368pe/rBEjRmjMmDG6995747qXDv3/a665Rs8995y+//3vx6aivfPOO5KkE088UStXrowbe+rUqbHrtbe36+qrr9bIkSM1ZswYfe973+t1T9Zaffe739VJJ52k4cOHa8qUKfrFL34xoD+fL37xi3rppZf0wgsv6Oqrrx7QGABwNCg2AQAAABjUbr31Vv3yl7/Ugw8+qFdffVWnnHKKLrjgAjU2NsY978EHH9SIESP0+9//Xt/97ne1bNkybdiwIfb44sWL9cILL+jXv/61NmzYoOeff16vvvpqwmt+//vf14wZM2LT1nbv3q3x48f3K95bbrlFzz77rNavX6+nn35aGzdu1CuvvBL3nH/4h3/QmjVrtHr1ar3xxhv6+te/rquuukrPPffcUf7pSKFQSCtXrtS9996rUCh01N8PAEeLYhMAHEFfi22mCot3AgDQt/b2dq1evVp33323KioqVFZWpn/7t3/T8OHD9aMf/SjuuZMnT9add96pj33sY7r66qs1ffp0/fa3v5V0sKvpwQcf1D333KPPfOYzmjRpktasWaNIJJLwuvn5+crOzo5NWystLVVmZuYR421ra9OPfvQj3XPPPTr//PN1+umn68EHH4y7Tnt7u1asWKEf//jHuuCCC3TSSSfpmmuu0VVXXaX777//GP60ACA1KDYBSKpDCyOHHhdeeGHQoR2TQxfbTHR/hx7XXHPNEce7+OKL9dnPfjbhY7/73e9kjIl9ksrinQAA9O2tt97SgQMH9OlPfzp2btiwYfrkJz+pP/7xj3HPnTx5ctzXY8aMUV1dnSTp7bff1oEDB/TJT34y9nh+fr5OPfXUpMfb1dWlGTNmxM4VFhbGXaempkb79+/X+eefr5EjR8aOhx56SG+99VZS4wEAF1ggHEDSXXjhhVqzZk3cOdct211dXcrOznY2/qGLbR5a+Fm3bp2WLFmiN998M3Zu+PDhRxxvwYIFuvzyy/X//t//0wknnBD32I9//GNNnTpVZ555piQW7wQA4HCstZIkY0yv8x89N2zYsLivjTGxBbMPN87RysjI6PV9Bw4c6Pd4PTH953/+p44//vi4x5gGB2AwoLMJQNKFQqFYO3nPcdxxx0nq3+Kc/VkQc9asWbr++uu1ePFijRo1Sueff/4RF/V86KGHVFRUpM7OzrixPv/5zx/VYpmH3ld+fr6MMb3OHek+LrroIpWUlGjt2rVxY3d0dGjdunVasGBBv+MBACCdnXLKKcrOztZ///d/x84dOHBAmzdv1mmnndbvcU4++WQNGzZML7/8cuxcS0uL/vd//7fP78nOzk44za64uDjuw6mWlhZt3749Fu+wYcP00ksvxR5///339ec//zn2dVlZmUKhkHbs2KFTTjkl7ujvulAAECQ6mwCk3IMPPqjFixfr97//vX73u9/pmmuu0ac//Wmdf/75kg4uiPmrX/1Kq1ev1sc+9jFt2rRJV111lYqLi/WXf/mXceN89atf1QsvvCBrbdyinqNHj9aSJUv06quvaurUqZKkK664QjfccIN+/etf64orrpAk7d27V48//riefPLJpN/nke7j6quv1tq1a7VkyZLYp6iPPvqourq69OUvfznp8QAAMNg1Nzf3Wj+xsLBQX/3qV3XLLbeosLBQEyZM0He/+111dHQc1Yc3eXl5mj9/fmyckpIS3XnnncrIyOjV7dTjxBNP1O9//3u98847GjlypAoLC5WRkaHzzjtPa9eu1cUXX6zjjjtO3/zmN2PrOY0cOVILFizQLbfcoqKiIo0ePVp33HGHMjIy4mK5+eab9fWvf13RaFRnn322Wlpa9OKLL2rkyJGaP3/+0f/hAUAKUWwCkHSPP/64Ro4cGXfu7//+7/XNb35T0oeLc0rSxz72Md1333367W9/q/PPPz+2IOYzzzwTW8vgpJNO0n//93/r/vvvjys2nXLKKfrud78r6cNFPX/2s5/pM5/5jCRpzZo1Gjt2bOz5w4cP15e+9CWtWbMmVmz66U9/qnHjxmnWrFlJ/TPoz3389V//te6++25t3LhRs2fPlnRwCt3ll18e6wQDAAAf2rhxo84444y4c/Pnz9cPfvADRaNRzZs3T62trZo+fbqeeuqpo/73dMWKFVq4cKEuuugihcNh3Xrrrdq5c6dycnISPv/mm2/W/PnzVVZWpn379mn79u068cQTdfvtt+vtt9/WRRddpPz8fH3rW9+KdTZJ0t133622tjZdcsklysvL09/93d+pubk5buxvfetbKikp0fLly/X222+roKBAZ555pr7xjW8c1T0BQBAoNgFIutmzZ2v16tVx5woLC2P/f7jFOQ9dEPNQXV1dvV5cTp8+Pfb//V3U87rrrlN5ebnee+89HX/88VqzZk1sUfNk6s99/MVf/IVmzpypH//4x5o9e7beeustPf/883r66aeTGgsAAEPB2rVre00/P9S//Mu/6F/+5V/6fHzjxo29zn10l9e8vDz99Kc/jX3d3t6uu+66S3/zN3+TcIyPf/zj+t3vftdr3HA4rHXr1sWdO7QbaeTIkXr44Yf18MMPx87dcsstcc83xuiGG27QDTfc0Oc9AYCvKDYBSLoRI0bolFNO6fPxwy3OeTQLYo4YMSL2//1d1POMM87QlClT9NBDD+mCCy7Q66+/rv/7f/9vf27rqPT3PhYsWKDrr79eVVVVWrNmjU444YRYZxYAAEitLVu26E9/+pM++clPqrm5WcuWLZMkXXrppQFH1n+rVq3SD3/4Q/3ud7/T6aefftjnLly4UD/5yU9SFBmAdEKxCYBXDl0Q89Apc0dy6KKePQtn9izq+dFxrr32Wt17771677339NnPftbJQpv9vY//83/+j2688Ub97Gc/04MPPqjrrrsu6V1WAACg/+655x69+eabys7O1rRp0/T8889r1KhRQYfVLz/96U+1b98+SdKECROO+Pxly5bp5ptvlnSw0xwAkoViE4Ck6+zsVG1tbdy5rKysfr1QG+iCmEezqOeXv/xl3Xzzzfq3f/s3PfTQQwO/0STcx8iRI3XllVfqG9/4hpqbm3XNNdc4iQcAABzZGWecoVdeeSXoMAbso93UR1JSUqKSkhJH0QBIZxSbACTdk08+2evTsVNPPVV/+tOf+vX9A10Qs7+LeobDYX3+85/Xf/7nf2ru3LlHdW9Ho7/3sWDBAv3oRz/SnDlz+vUpJAAAAAD4zNiPLmgCAENEe3u7jj/+eH3ve9/rtfXx+eefr9NOO+2wC4n2mDVrlqZOnaqVK1c6irR/jDFav3690wIZAAAAAByrjKADAIBk2bJli37+85/rrbfe0quvvqovf/nLkuIX9WxsbNQjjzyiZ555RpWVlf0ee9WqVRo5cqRef/31pMd9JAsXLtTIkSNTfl0AAAAAGAg6mwAMGVu2bNG1114bt6jnihUr4nZiOfHEE/X+++/rm9/8ZmxBzCN577334hbbzM7OdhJ/X+rq6tTS0iLp4OKdh+7CBwAAAAC+odgEAAAAAACApGEaHQAAAAAAAJKGYhMAAAAAAACShmITAAAAAAAAkoZiEwAAAAAAAJKGYhMAAAAAAACShmITAAAAAAAAkoZiEwAAAAAAAJKGYhMAAAAAAACShmITAAAAAAAAkoZiEwAAAAAAAJLm/weCgbx04ssNegAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "event_data.peek(count_scaling='log')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Low Level Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you wanted a slightly more manual touch you can also call the sample methods on the priors and get the individual true event data, then add noise by passing this data through the Instrument Reponse Functions.\n", "\n", "First we get the true event data." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "diffuse_true_event_data = diffuse_sources_prior.sample(\n", " numsamples=int(round(diffuse_frac*total_num_events)),\n", " )\n", "\n", "\n", "localised_true_event_data = localised_sources_prior.sample(\n", " numsamples=int(round(localised_frac*total_num_events)),\n", " )\n", "\n", "ccr_true_event_data = ccr_prior.sample(\n", " numsamples=int(round(ccr_frac*total_num_events)),\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Taking a peek at the true event data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "ax = diffuse_true_event_data.peek(figsize=(8,4), count_scaling='log')\n", "plt.suptitle(\"Diffuse\", size=16)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "ax = localised_true_event_data.peek(figsize=(8,4), count_scaling='log')\n", "plt.suptitle(\"Localised\", size=16)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "\n", "ax = ccr_true_event_data.peek(figsize=(8,4), count_scaling='log')\n", "plt.suptitle(\"CCR\", size=16)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then combine this data together and pass it through `irf_loglikelihood` to get the reconstructed event values. \n", "\n", "This will take a little while longer than simulating the true event data (<2 mins) because for each unique true event value we need to evaluate the whole range of reconstructed value axes and sample over them." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "combined_true_event_data = localised_true_event_data+diffuse_true_event_data+ccr_true_event_data\n", "\n", "reconstructed_event_data = irf_loglikelihood.sample(eventdata=combined_true_event_data)\n", "\n", "\n", "reconstructed_event_data.peek(figsize=(8,4), count_scaling='log')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nuisance Parameter Marginalisation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each event if we wanted the probability that it came from a given model for some set of parameters then this probability would be dependent on the 'true' values of the event. \n", "\n", "We do not care for these individual true values (at least most of the time) and thus treat them as nuisance parameters which we will exclude from the results of our analysis through the method of marginalisation.\n", "\n", "Marginalisation essentially integrates out the dependencies of the nuisance parameters from the probabilities giving us just the probability of the events given the given models and the parameters we are performing inference on." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Luckily all the hard stuff has already been done as the key ingredients needed to be defined to perform the simulation. \n", "\n", "One particular thing that we need to do is ensure that when we use our likelihoods that they are normalised. This is doubly ensured by evaluating all the normalisation values they take beforehand, caching them in a matrix, which is then supplied to whatever is doing the nuisance marginalisation." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Setting up psf normalisation: 100%|█████████████| 50/50 [00:08<00:00, 6.20it/s]\n", "Setting up edisp normalisation: 100%|██████████| 50/50 [00:00<00:00, 318.36it/s]\n" ] } ], "source": [ "from gammabayes.hyper_inference import DiscreteAdaptiveScan\n", "edisp_log_norm_matrix, psf_log_norm_matrix = irf_loglikelihood.create_log_norm_matrices()\n", "\n", "\n", "irf_log_norm_matrix = edisp_log_norm_matrix+psf_log_norm_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then pass all the required information for everything to the `DiscreteAdaptiveScan` class. Although we note that the only parameters being explored here are the mixture parameters so our `prior_parameter_specifications` is an empty dictionary.\n", "\n", "For this step we don't need to define the mixture parameters but will later." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/hyper_inference/core/utils.py:57: UserWarning: \n", "You have specifed 3 less hyperparameter axes than priors. \n", "Assigning empty hyperparameter axes for remaining priors.\n", " warnings.warn(f\"\"\"\n" ] } ], "source": [ "nuisance_marginaliser = DiscreteAdaptiveScan(\n", " log_priors=[diffuse_sources_prior, localised_sources_prior, ccr_prior], \n", " log_likelihood=irf_loglikelihood, \n", " axes = recon_binning_geometry.axes,\n", " nuisance_axes = true_binning_geometry.axes,\n", " prior_parameter_specifications = {}, \n", " log_likelihoodnormalisation = irf_log_norm_matrix, \n", " bounds = [['log10', 1.0], ['linear', 1.3], ['linear', 1.3]],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we just call the `nuisance_log_marginalisation` method to get the log of the nuisance marginalised probability values." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " \r" ] } ], "source": [ "log_marg_results = nuisance_marginaliser.nuisance_log_marginalisation(\n", " reconstructed_event_data,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So to be 100% clear here, each entry of `log_marg_results` contained the log-probaiblities of the reconstructed event values coming from the three sources (priors) we defined above with a likelihood defined as the product between the energy dispersion and point spread functions contained within `irf_loglikelihood`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hyperparameter Inference" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now define the priors we will use when exploring the values of the mixture parameters for each source/observational prior. We will choose uninformative symmetric Dirichlet distributions all with alpha values equalling one.\n", "\n", "These parameters will not be treated as discrete and must have values between 0 and 1. \n", "\n", "We also need to say what other parameters are dependent on each other, but once we've done this for which is defined first we don't need to do it for the others." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "mixture_parameter_specifications = {\n", " 'FermiGaggeroDiffusePrior':{\n", " 'discrete': False,\n", " 'bounds': [0., 1.],\n", " 'dependent': ['HESSCatalogueSources_Prior', 'CCR_BKG'],\n", " 'custom_dist_name': 'dirichlet',\n", " 'custom_dist_kwargs': \n", " {'alpha': [\n", " 1., \n", " 1.,\n", " 1.]}},\n", "\n", " 'HESSCatalogueSources_Prior':\n", " {'discrete': False,\n", " 'bounds': [0., 1.]},\n", "\n", " 'CCR_BKG':\n", " {'discrete': False,\n", " 'bounds': [0., 1.]}\n", " }\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now if you looked at the length/shape of the items in `log_marg_results` you may notice that they don't match the number of events weve specified. That is because the specific container that was passed through when indexed only gives the unique event values. So for each of the calculated values we also need the number of times they occured, this is held in the same object and can be accessed as below (the zero index being the unique coordinate data)." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "meas_event_weights = reconstructed_event_data.nonzero_bin_data[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then pass this information to `ScanOutput_StochasticTreeMixturePosterior` which as in the name, takes the log marginalisation results from a result of a parameter scan so that it can stochastically explore the space in addition to continuous mixture values (stored in a tree structure)." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from gammabayes.hyper_inference import ScanOutput_StochasticTreeMixturePosterior\n", "\n", "\n", "hyper_instance = ScanOutput_StochasticTreeMixturePosterior(\n", " mixture_tree = mixture_tree,\n", " log_nuisance_marg_results= log_marg_results,\n", " mixture_parameter_specifications= mixture_parameter_specifications,\n", " prior_parameter_specifications = {},\n", " shared_parameters = {},\n", " event_weights = meas_event_weights,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can then use the in-built sampler which defaults to the `dynesty` package (if you would prefer to use a different nested sampler you can also extract the likelihood and prior transform from this class as well as is done in other tutorials). If you do this, then it is at this stage that you would pass the parameters you would to the nested sampler when instantiating it." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyper_instance.initiate_exploration(nlive=500,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then run the stored sampler again passing in any arguments that you would when calling the `run` method of the `dynesty` nested sampler." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "7859it [21:01, 6.23it/s, +1000 | bound: 1823 | nc: 1 | ncall: 2770709 | eff(%): 0.320 | loglstar: -inf < -20332.038 < inf | logz: -20338.574 +/- 0.074 | dlogz: 0.000 > 0.300]\n" ] } ], "source": [ "hyper_instance.run_exploration(dlogz=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When can then access the results from the results attribute of the class." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "results = hyper_instance.results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then with a bit of `corner.corner` and some kwargs from `GammaBayes` for some styling." ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from corner import corner\n", "from gammabayes.utils.plotting import defaults_kwargs\n", "\n", "\n", "corner(results.samples, \n", " weights= np.exp(results.logwt-results.logwt.mean()),\n", " bins=50,\n", " range=[[0.05,0.3], [1/4, 5/12], [0.4, 0.6]],\n", " truths=[diffuse_frac, localised_frac, ccr_frac],\n", " **defaults_kwargs,\n", " labels=['Diffuse', 'Local', 'CCR BKG'],\n", " show_titles=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we've been able to quite precisely recover the contribution of each source for event data with purposefully added noise that follows information of the instrument through the Instrument Response Functions with only 4500 events." ] } ], "metadata": { "kernelspec": { "display_name": "testofwest", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 2 }