{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", " You can contribute with your own notebooks in this\n", " [GitHub repository](https://github.com/gammapy/gammapy-extra/tree/master/notebooks).\n", "\n", "**Source files:**\n", "[image_analysis.ipynb](../_static/notebooks/image_analysis.ipynb) |\n", "[image_analysis.py](../_static/notebooks/image_analysis.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Image analysis with Gammapy\n", "\n", "## Introduction\n", "\n", "This tutorial shows how to make a significance image of the Crab nebula with Gammapy.\n", "\n", "* Use the [gammapy.data.DataStore](http://docs.gammapy.org/dev/api/gammapy.data.DataStore.html)\n", " to load [gammapy.data.EventList](http://docs.gammapy.org/dev/api/gammapy.data.EventList.html) data.\n", "* Fill the events in a [gammapy.image.SkyImage](http://docs.gammapy.org/dev/api/gammapy.image.SkyImage.html)\n", "\n", "\n", "* We'll use the [astropy.convolution.Tophat2DKernel](http://docs.astropy.org/en/latest/api/astropy.convolution.Tophat2DKernel.html) and \n", " [astropy.convolution.Ring2DKernel](http://docs.astropy.org/en/latest/api/astropy.convolution.Ring2DKernel.html) kernels and the [gammapy.detect.KernelBackgroundEstimator](http://docs.gammapy.org/dev/api/gammapy.detect.KernelBackgroundEstimator.html) to estimate the background.\n", "* Run [gammapy.scripts.StackedObsImageMaker](http://docs.gammapy.org/dev/api/gammapy.scripts.StackedObsImageMaker.html) to get images and PSF.\n", "\n", "\n", "TODO: Refactor [gammapy.scripts.image_fit](http://docs.gammapy.org/dev/api/gammapy.scripts.image_fit.html) into a class (simiar to `gammapy.spectrum.SpectrumFit`) and run it here to fit a Gauss and get the position / extension." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As usual, IPython notebooks start with some setup and Python imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import astropy.units as u\n", "from astropy.coordinates import SkyCoord\n", "from astropy.convolution import Ring2DKernel, Tophat2DKernel\n", "from astropy.visualization import simple_norm\n", "\n", "from gammapy.data import DataStore\n", "from gammapy.image import SkyImage, SkyImageList\n", "from gammapy.detect import KernelBackgroundEstimator as KBE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dataset\n", "\n", "We will use the `gammapy.data.DataStore` to access some example data.\n", "\n", "These are observations of the Crab nebula with H.E.S.S. (preliminary, events are simulated for now)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data_store = DataStore.from_dir('$GAMMAPY_EXTRA/datasets/hess-crab4-hd-hap-prod2/')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Counts image\n", "\n", "Let's make a counts image using the `SkyMap` class." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "source_pos = SkyCoord(83.633083, 22.0145, unit='deg')\n", "# If you have internet access, you could also use this to define the `source_pos`:\n", "# source_pos = SkyCoord.from_name('crab')\n", "print(source_pos)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ref_image = SkyImage.empty(\n", " nxpix=400, nypix=400, binsz=0.02,\n", " xref=source_pos.ra.deg, yref=source_pos.dec.deg,\n", " coordsys='CEL', proj='TAN',\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Make a counts image for a single observation\n", "events = data_store.obs(obs_id=23523).events\n", "counts_image = SkyImage.empty_like(ref_image)\n", "counts_image.fill_events(events)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " )" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sK264zUw6K+5W18WBh8+i/Bn2Cek8+3T/onQ1/bSYfLhoshFTOq98F6GGzzrI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "norm = simple_norm(counts_image.data, stretch='sqrt', min_cut=0, max_cut=0.3)\n", "counts_image.smooth(radius=0.1 * u.deg).plot(norm=norm, add_cbar=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Making a counts image for multiple observations is a bit inconvenient at the moment\n", "# we'll make that better soon.\n", "# For now, you can do it like this:\n", "obs_ids = [23523, 23526]\n", "counts_image2 = SkyImage.empty_like(ref_image)\n", "for obs_id in obs_ids:\n", " events = data_store.obs(obs_id=obs_id).events\n", " counts_image2.fill_events(events)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " )" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HBtC1mofsqr73Y072AQYYdXxEMMSe+gk82Ipc1QhK1aqnAG5lcfxw/M4qZo3w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\nZ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HhbjPFt2bY+E/jUGOOXpf//JvBnYoxfnS3z3rTMlfT/h9Iy+XDV+2IPw+PcBP4C8J+A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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "norm = simple_norm(counts_image2.data, stretch='sqrt', min_cut=0, max_cut=0.5)\n", "counts_image2.smooth(radius=0.1 * u.deg).plot(norm=norm, add_cbar=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Background modeling\n", "\n", "In Gammapy a few different methods to estimate the background are available.\n", "\n", "Here we'll use the [gammapy.detect.KernelBackgroundEstimator](http://docs.gammapy.org/dev/api/gammapy.detect.KernelBackgroundEstimator.html) to make a background image\n", "and the make a significance image." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "source_kernel = Tophat2DKernel(radius=5)\n", "source_kernel.normalize(mode='peak')\n", "source_kernel = source_kernel.array\n", "\n", "background_kernel = Ring2DKernel(radius_in=20, width=10)\n", "background_kernel.normalize(mode='peak')\n", "background_kernel = background_kernel.array" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(source_kernel, interpolation='nearest', cmap='gray')\n", "plt.colorbar()\n", "plt.grid('off')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(background_kernel, interpolation='nearest', cmap='gray')\n", "plt.colorbar()\n", "plt.grid('off')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deil/code/gammapy/gammapy/stats/poisson.py:237: RuntimeWarning: invalid value encountered in greater_equal\n", " mask = (n_on >= n_on_min)\n", "/Users/deil/code/gammapy/gammapy/stats/poisson.py:254: RuntimeWarning: invalid value encountered in sqrt\n", " term_b = sqrt(n_on * log(n_on / mu_bkg) - n_on + mu_bkg)\n", "/Users/deil/code/gammapy/gammapy/detect/kernel.py:188: RuntimeWarning: invalid value encountered in less\n", " mask = (significance.data < p['significance_threshold']) | np.isnan(significance)\n" ] } ], "source": [ "# To use the `KernelBackgroundEstimator` you first have to set\n", "# up a source and background kernel and put the counts image input\n", "# into a container `SkyImageList` class.\n", "images = SkyImageList()\n", "images['counts'] = counts_image2\n", "\n", "kbe = KBE(\n", " kernel_src=source_kernel,\n", " kernel_bkg=background_kernel,\n", " significance_threshold=5,\n", " mask_dilation_radius=0.06 * u.deg,\n", ")\n", "# This takes about 10 seconds on my machine\n", "result = kbe.run(images)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Let's have a look at the background image and the exclusion mask\n", "\n", "# This doesn't work yet ... need to do SkyImage.plot fixes:\n", "# fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(10, 3))\n", "# background_image.plot(ax=axes[0])\n", "# exclusion_image.plot(ax=axes[1])\n", "# significance_image.plot(ax=axes[2])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " )" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HPbAt+xVP+9/aRZrWNlJo0jqvKQFpaFLcUkpu+GSSQFPK99nBQf4OyEsZmJAO\n0fsTYJwqA6Az36UtK2UJksc/vQOTx5cp9Vz0/wGXH0Ct0xuu9ySk48nBOgbuSaSJLTMEnFeq0UeM\nO+B8GA3QPC1QXx9AbiZuCGeWPq+7c6zHQQ+3k2VggGS/cSc94YF2kXd3S0nOOMCTQOJ3760pJcYY\njL6ODNwAvLbNn2GNuNljO3CAqwOxu+YAJ6xz5aorMdO9Hqjni6w9nakcTpiHDKCJkqDO8gOQ0eaR\nyu5SHDuy515j78cR4KxjvkNw0Q78Vj9gpQesyccOOB8uG7poh0rk6tZw7tq5e+46TalkmXX2vHbN\npcwoqdmWyrid37hkkzGA9ZpKUGl7V3rSS366pXSjX9F02idlYJbjxALH45Ilhia72w6UfPYM+Xye\n52Wd+/2fOVpk0ASYR63U2H0HyO510tEyPww8xOFZ/brd3L7ywG9eCIDMCsbv4RBv0OxslIcaD7Ba\njUBs25tKwzwb+83PG9eLZ9ivNHjGmE7UA2g74BywWpA8BJg+fabcKYcKGzLKhdurkqnAMGk9RvMP\nYnKeFZbKfpmYy5haZXBwAbg3/L3WL0AWe6wEVKNG2m9z3BHXG4BbLDIY3ryZP8MUr03SPLjzy3kG\nQcBzMklg6AaLjW3vwrd5Gdgs22nbDOijpo9NLnJTFACNaiTY+Z7yQ81dZuK6tSLBs+zSyd6dnAO8\nCq/5J16KeYiE4UP4jivv5h6IVILnoORk2y0+mIyzOXuWh8tq0Kxt6OnvsiSf5hlXr+zBWAbd5tjm\ncbfdh5/w7kMAKwmNY5vu7qnsO8kWAA5AatsEfrBDj2k6+JFZX/0HS+5gx8sMeLjo7rFFy6izbYD4\n2kS6VnX1HY/z9lnXitE2ZUxSymzOjwfHYCWHUm6I4h2aRipjlCzPWO2u9TxUdv3Vv89sOWKXMMx1\n0qQ67lz8d11hI8a5yeuK2Y5xDthQFcdp7pJLkYaSALBJB0VPKtGb09mG14zjmtOFyJkkRgKFzDXx\nS6/VvtZk5ueVObDA42XWTkrSI9Y8krgj7rmUmemoya48cU4pgWdoEkg2PZvcMya5P87azcmkf7j0\n7rqmmY2yLUCafcSl55g5E/fWeD4Q3Gp91fwwRdei+vJ1vLRTOYyxZ/TduwASPLbpEjUP1QzJk1yR\ncSXtCoLiJrYDTqVMJZKjobrhIXPg4yC6K0b8rbPPN3TygPsNhXymtXcpV7nUrjruIvPBRiFsCM1b\nZeCBYXY2WI6yAAAgAElEQVSdtDdO7O+4RxQArwa4pkmhqthnxI/trgbEnp2leZfLNC/JnEZ5u3tt\nZo9Mk9I0WHA0Rntc3XOLRb4PYcGTSZJALTutKoY4Nri5HB+voMIoQXVQpR8Z8UhYKPKwfeVhmlmv\nlMMuHvdcVzQA07ypMg6+jplKV3D4jKgdcD4Mts4tGiqBu6Ey6YO5RMVZDjcDNyJaSh9mo25o6+t0\nSVItt5Fy1/SxMsNaMZkeVLxCx91tgPKoZ48wSLLm83mOYUpSbLKrDYAdWyb8uAdPjsFslksql8sE\n2GMDztVyXemGH1p8k/3UMr0fL0svD+2oP4hgnVIpRQLQ3CVvlZNEnIP6PBC7JI7Ndw+fsE4HU2Kh\nHpqZqZR/YTUrrhuGXC3byZEeeFsHmu62+03FBV7LjGp5ijNQANKZSC2gRziNJMglRV6Z4kPykryg\nWxCaxiOl63a/j1cuFukFiI0aqTWhOSzREzNNk6VGniRiPlxmBOu4/20rHfR3/XRautlS3gb31Qq0\nxxmgR400mmSm2RlYetw0NNJsWTb8wLzWHBbKZ++3iS6UBFunHO7Yt3Ugikcz2qkc7I5jzzkmUQgQ\nH9i5ZntcA7jlc+Ux4Xl3IL8yrHOXVX+wbUjkXsc5x9U75oyTm41LBZZxc2C5Ws/HugA/zw4zPyBK\nOWCrcshfbwyyGuaizbFLNZnNER8cj0v26YmYUZvAy+OJ7op7FyMpARiSoeVSunkjs9vxOMdTr03K\nzD1Zclz1xSKxTUIDxGC7RZIvjZo0z3ye/+NUOYHbdfkc4J5zjGD+3iHKm6Mw3hAuPueBh6HLjlpb\nhvGgamkYMdPbKnua+nnz5JGUH8y4/m5jldfr1oPojnE+PDbEPut457oDN7ffnU3w3XV9JB48iz7U\nvcTZp998gIMnodFmkvWdNMm19piiVMYxPVPdrvljx11mlA6mxTobqWmzS37cx09huMQ52T7sEbba\ntsmtx92XEsv0bR0v0/+RTm6/YL6oBuw/1APN1R2deOjV3oEncurmIM5GATzCJIRi3DyW6U1hPGF0\nGkerr8OtjntGPbBypIceOP3pvVA5CmFtQ2Nf+0Xsbjs9J8m2t9VnKbt2aCzrfpYI4Z1pkpFHjM1v\nq0HHuhzv21N2t3G1AbDDPrjaLDL43J6nTDodici+QxoAN6YDuADb1A4QQA1rlRKQMv2wRxR3/efz\nvL8sV8udaqBsmrTcqH/yzBdJ0A/6LPt9H1sMlOMPCJIR9zgyg8UhBeN3dJt+TtDp8nt9rtR/9hZ3\n7sGwLvduPDN/IJ2aVd9e8NzFOB8KAwhrxkncUCpjkzAT5EbEoTwz6oOO8ZsnEBqVcTQus+u2XC2w\n9v0kSUQ8TpJud7kV2qESYI0kdT0w3biRmaOUwcnlRh7PxCUm1gnznE6TBIk4KE2HYaS4/IC1t42D\n6U4mGTCJZSJjonLpcJE1psxP4siTSctlztyvSjz77R13mYX6cCMfpFInK2Vdp1cMedKPh1RbzU9y\nyUfDrIdB8fJYKTeA5vqoH8RjpVDPTKcnirYWPHfA+WCbMwA/KHzmJqqF7K29PFZF/JFlfFweKd+Y\nuO+dEtv1eBvuPNvylmk+VK+7iwAoySFibICyX8eAiQvbScLA+ubzzP7qrLeUwNNd5mv9nyamSaIn\nNNL1HmhDkzy4/UkqtZTyOuokFC+Po7L9/XEZEqh1nqxXSv9z1KRyzdkyH08edrDIpfqHjYYbFtft\n8ta1mePc7yvHOB0Ya5F9p7J/qZRlSoD1UMzTbevAc9fk48E0d9M9FgmguS7PAdQznO76ObNg+sSm\nAV6NcrVPnX2XTV8q3YzIasicS2lAM6/W6brkoi6XySWt+3U2yjFMAPKoF6EDWvuTHJKCkR6rn9ak\neb20Mna5nhw3vW3LBBDMb6/NGf3FImfzj42NwmRdNkUjENYDkEqZkbaSOtuWd1+qQwqSNG1zo5HF\nIsum3NtAruRyodMggLHtpVzHzvz71W+49UwDIF26JmVvxo24+TrXfavAM6q8SB8ge6iBUxrW6zkQ\nkozxRAxVQA58UmpGLJ2UKCEZcpuqbA6BW8eNBfNwxgNo7inF8nzbrbGs6bivYlrm7DhSI3/tT5LL\ne32axfChSa3hYHKTSd9Qw5ieA533zPQqJCmDlbvs3Ecsy3wuL0Lq5EDqsVCXSUn5u1QmuLxM1LPw\n+7aeGgz5Dqi1yv1OpfwQcgmYNzwmfEMYhkYwGN4AjNa1oW5+vS3sdwfOdQC6PeAZT1YxPCD2UAPn\nOsCs56lFybwT8JdynIrYF1UmZHIdAGGT3umIjkbevcjB1tkmBnsltuhekbd3w6X15NBKx9lmATsA\nix332sq96sDsjcvtOBNku74PHgqA7TpoUqtOgsg1oa4n9e1JaX+90ojfeefz0TInthyAJWk5Tw+d\n2115rildpYWdV3Jx7vx8kPjx4Tk4HTQbYVm3OiPfqaxKgvE2OmlbX4a5qxx68KzutVkzS5eJSDkp\nw4VM84a6iTCAye8AqR9oGko4OMIuG1svAErsCxaKwBotIAkZKUt/XFbUdalxBoySd9q6Eb8kPill\nEHTAw3DnqeQBzBC6A4ZSCZxSdq9Zt8uhrvXLwwzbNred83LPWtoEE6YstGbC++OUxfdOT+zfhP85\nzy47rrSUY5fEL71scy4NPiz9/C1sHbjkHkaZKnWJ5/AS4mHdHkKSSjH99rPOuJMjPUg2NBTGkHZT\nyqDnTMED+lzwDpbe9Jabxtlj7bZL+QbzzCxJHZe2NMo3FU12J+amStmtXiVGeiC9bYA0nWY26tU8\nfHb5T70uTw7tm6Ce9/HYatpVrnMVX12Wbj1JptiVsdi9Hkg9VDadZobtwEw4Qkrbvz3LhSseXvD/\nMZ9XiTFlICLRho2UgYqHn1ReAzxIvfnxTPna4AELiEoJPGlv19iLfalDQlL5wD8t5nnptmOcD4bB\nNGvZkbthyIv47mMJDblNXv7oN099Y0k5K+4Dg3XKmXS2GZS1hGR/GReHbdKMeLVvTQYEqnuYLpXd\niJbLxOa8qsdd69vzUn7kLBIwgv2FJq97VUbZ5Rhk1+WhMFZVSU0GRACtMybsrLROXBEaOFpqVYPP\nvMfGqqVSDYARCuDYLBbSrAdNSiqJPztwEpf08470CEaKqB7PQLYMQMmuuHbX1RWy8y2VzUqGAHJr\nQTPGrUwOhRD+tKTPkfTvS/qjSqKHX5b0TyV9T4zxA2et46EDziHDBXcGIGX3q0jCKMmGPIYlW564\nFyzRZUMwCkDP69C98TBdkpjHdYRSmajA6Mg+asvMsw994ZnkpkmuuYMUfTCPl2VvTlzb0ORO7d6W\nDlsxP2O+TL9xI0uTPFHkte7zeQZg13yuQLHfN0DeQwsLQ49Rk4XvTZOrngDyUZ/5x31fdDkEQ3a8\nUwY8NuNsFBZ4qHwd4A1I+VpqlB5+B8rXhzNPPApfnrARTNKvtTrsI61nnVvhrl8g4wwhvFzStyrd\nFt8VY/y71e//haS/qnSo3y/plTHG/6+a50clvU/SD0n6Rkl/oHS4P1LSJ0v6oRDCN/fjtK+1hwo4\n1w285k90L4Nzw10HSKlDr7OwUjkgGP00YR8e/4pKNx43Kzfivq2nbSzDbNfgZJwy6+M2g5fXlktl\nPJPkz1CSExYYjZl5LHA67eOOPfu8RuNRJSZJbNPBbtSUlUaAdWikbpHZ6XyeWR+yI9glrHLaZHG8\nJ43qqibcc/ad8s124Bg52x036fzf6jJQ+eBtnDfeAVU8BZca1dcCRuJHyiEAQBbvBEY5VgnG9QO6\nDh1trcWLy6qHEEaSXifpZZKekPTWEMKbY4y/YrP9S6WhxmchhC+R9E2S/nK1qs8dGIr8QNLb+9dr\nQwjPOWt/aq/zobN1sc2hCxMZkl8KfgBhhQtlF4x4l7NKKbvg3gsScD3st+UVQ6HpkxBNlh4xomTT\nJJYHaAJQuKu8e8wxGMjBAEPlMgM4gA/u+rEdHG8agku91wP0sWW8XSbkjJTP3ivUhw2WSnceG9k8\n7Bf/0/t2Ms+qlLPJ97KPiyRlFujXhIdG3KOQ8rn0we6k7Cm4kuKaSvBlPimff0IyzFPP73ZlGE+t\ngVv3Ots+TtK7Y4zviTEuJH2/pE/zGWKMPxVjRP3185KeN7CeP9xgW2fO89AA5xDbRB8H23SpkZt/\nH9s77jexKT+Y3GB1JYpfIoy/7a75vnK5ZZGYaJJwGwYoZbCZTDLYOLuiW1HbJlcZV5Wu7HzGzaX6\nxuVEgBUuv7PKiQE3AMmwGbFLbv3tee6qxHoB+PE4l0ju9RpQVAEA7fX+v3pneSm52bNZ/g2w9FZ1\nIwNWj+3utWl7zq5Dk7PVzvakdH5vqwQyzl1r78Svx/Y755xRS4mj3lbWcwLIPuSJdFL6Vk/bNMF5\naXa+oTOeE0J43F5fVK3tuZJ+274/0U9bZ18g6UcHpv9UCOGvhxA+3CeGEMYhhJeGEN4k6fPO+mtX\n5sF1r8zlHnXGs5Yq1UxBKjOtrU3zoXrr4Wql0iWHdXbKsS00gQ5M4yYnRpyh0TwDI65HvJBqHSln\nwQGyw3nZnMOH0cAmk7ImHfcaICYzja0qetqsBcUQn0+nud58uTRAqFz+1fAb47SuurqIKiZAddZ3\noud/oAtlnXRl2mulaGw5djksMlvkc+wPRUIvPhieVA6hIeUYJvORYfduTI3NP7F1cM31+bVCdlTr\niWlIc+lxzNNscznSkzHGF5/yey1jloabiSmE8DmSXizpkwZ+frmkV0r6vhDCC5TUYEh1f1zSt8QY\n33HWzj60wHmWhMMTAtwIY5V1ysSpkJIAfN5urFFOCHDDcANyMx0ru+aNEkA663OAkspEB0aCheVI\n/OCywx7Jtrt0iSqhts3xR2dr+5OsA/3Arbwdryd3kbu79nynVl3K7HC/Z5zEIqk8uj0r/9ftWU5c\n1RlxKZdzcgyk9H+OrEmJH5tVo+Q2H09Jq07540aadyc9hCjp2f4ckUxyITzz1xrQZ5XZpXeKZywj\nqUQF7y7fqYx/ugGkruvcKrvYrPoTkp5v35+nlOQpLITwKZJeLemTYox1/xbFGOeSvl3St4cQ9iQ9\nR9LtGOPT59mZhxI43aVxWZK7QzBOhraYqMxy05GILCjr5aZy0IySbik38cAl9+oipC+dkjTmepdd\nWipkMI/fuajbAZU4JY2BmR/BOqBHbFQqwYsM/N60ZJTXJjk2uWo0rAxeXp8OULlcScoyJ7bp+lGG\nxPD11NpSPwYYOtDVvi6lw64ES39YuECfde/1SbjbnVZDCnNN1PIxf/kwJl6DzrLOKN3tbnSyIoxr\nBvD0a5Prsr5pPXy0deB5cVn1t0p6Yc8Sf0fSZ0r6LJ8hhPAiSd8p6eUxxj84a4UxxiNJv3snO7MR\ncIYQPlHSfy3pX++XCWm78Y/dyUa3xRxAAcr+niuazUrDFyw3Vmufg8padtqLRWXhOi66txbj5gF8\nGfdnuZSePRhOsgAStHTzCh4pu+HIiDwZ5O8kSyb9emMFOC4bwlagaW44YQN3i+vQALIm1s0yY0IE\nXRbn49L7UB3st0uV3HXngUG89nCRj4ePuIlSAamSG56BG0xxrqzf9Hk8Tlnrflvl8w+TpJKIeCku\nPTFz74LEtcnrQOvNw0uXbhfYHSnGuAwhvErSjykdrjfGGN8ZQniNpMd7+dDfV+In/1sIQZLeG2N8\nxYXsQGWbMs43SPpKSW/TsNriSlotgq9PcaMcZ3J24UMxALRSumEARQ4s8cv6JpNy+d5Qdn2iDB7H\nXU7mMNhZnRn2+m9ne94ZyAEDoAVIToBHl0FxqOoGkfveJK9/Nkv7BsiPDMw8kbVcVvKtNrv+q2Pf\nlA8LhPhekokRw/V71EX/tJHz/eFYHFo8ls5SUn6Q8VB0N5vCBB6m1KnXml+MawdPxKVpQ/PW1lbT\nWe4sJ3grYp8XqOOMMb5F0luqaV9vnz/lwjZ2hm0KnB+IMQ5lqK6c1ZlHwJNRB6Ucz+RJzw3hDNRF\n6d46jpuJ717xQYy0joXtq09aLFOComaEI5s2Nhc59EkgL4l0g92N2zKz7ckltJNSTiQdLhJb3Z+U\n7vbEwLNuGCJJN28OZ9zZDwTrK2ZqQMw6qDVflUAa6MJEvaJpb5wAG/DzY+et6Tz+OZmk/Wm6tE+3\n5z0gE/tUynojQeLQen8CihiknA2nDNMbvwC6XCueFMIcQFudjK02GlZuTJTY5xDL3IoMe9RD3x3p\np0IIf1/SD8oaZscY335P9uqSzDPpUj44TfW5U75paLTR2e9STvzUFzvMZaxcodQp3cSMSjluchzS\nwcdZo7utUpbkOODANg+7LPGRclwTF5/lnbU2vbu7ZwDoLjK9NX14Da8UcvG7M2D2nxLMujrJ2R/C\neZY97rIYfj43WdUki/eZ9/Y871fgpCknzOg1ut/v37M9q6eclDAL/QAwLn7O6VglG0UtwcPYBfV+\nHeGSj+1aAaSHlBq+TZaXkl+6znW//MqhWMoztsBCCM9oTTZekmKMNzdZz6bA+fH9u8sFoqSXbrj8\nVhggV9uByrGG/KDAJj1JQMacmwVXHDDE9Zaya8b0Os7RNjnmt9el717GCKNcub+2c86uKLmUsls9\nFBuU+iy7JWSk3IdTSiDu46Yfd1mCBAC71pJO8i5U97JPtr8/SUwWpnh7loEatkhMlmWu38hlnvX/\n4gUIjpocn709yyC9P5Y6Y85eKOAPAxJwuOd1KzhP+hGTrNkiHgeg1yiHZGCSXpbLerxOHYZZr9v3\nRQPfF2s+X5ptYQf4GOMjktTHRn9P0v+sdCo+W9Ijm65nI+CMMX7yHezj1lvtzgwlgBB4YbCJoqpH\nGShr0GQZv+FY35ES4DRKN/jIgMbHFj8hv5nm7LdUtkwjq17Xe3ddrtLZaxMgUfftjJLtsjzf0VGS\nvca8/pzYYy1Pwm3nIeBZfgd716VKmanujXNyy933GzfyNpsuhyOkciyjrktM8miZG5swjjvb9uTa\nfKGVoJ2EHozQ2/0d9efVrxnAk9JdXPWjfl20BPR3XHhkap3KjklDZiT61BLMS2edWwacZv9BjPHj\n7fs/CCH8glKZ5pk2FJ8+YSGEDwohfLOp+l8bQvigO9nbbbPfs88wBC5CnvwuISKziUSJz9f6l7MK\nYpqw06D0SKNJyLEysEiZpd3u2R0xTJcDuTQndmUGnN9wkesqIOZH8O2xRal36xcZjNz99iw/++qg\nDBOkE9FeldBBkM++kJSiJ2jbpgdBvT+eIfc6dY/VemgCsPTy0a5L6zhepocMfTu9XV0B4MrZ7qny\ng25s08ZKFV7eT3Vs10GnXDUGdACWQwb7lMqkJCMOMJ3rz61+2G8F28Q2rxy633YcQvjsEMIohNCE\nED5b50h8bwSckt4o6RlJ/0n/uiXpH517V7fUcNP9qe0A6dMY3pfyOqnsgKR+etRJfR/GTXLDYpee\nbKEzUZ3VhmU6Q/Sacxgi8U6pzJa7C0x4AHBbdVVvSnBGqM726zgqLLXrcr9PQB0AByh9eAwp/Rfm\nJV7J78H2g2SOhzCcIR8ty5JLKYOtx3oBZk+2UbbpD4mmSSETYo2yc0joBUNCBCtd7Z8tC7DtVZ+9\nKxKjAZCI5OWx9Xp9fr0ybatA83wll/fbPksJy36/f32GKl3oabZpjPOPxxj/on3/OyGEM8uStsme\nkvSvVdPGkj7MvpMNr4PwTIc1+mOJeZnGxQ04cgN0KkssV2PaGAhKOfa30kI2qaKF64uyS5IuiNFJ\nbNyYZgDx7PRyKV1rcxUP3ZIcBJ2xShlMkUOtEi0qQepomcB11UxEeZA1F9tjPvQGoHnNkkiTfluI\n6g8OyuM0n+dqI9glrjn/46j/vxQA3J7nh0INst4r1I+Xn6+gNKbUs8oeiHfB8tJadLleXkvt+lzp\nQY0bv7BrpQZCrhtviAyY8lpU6xqyS3XXtzSrHmP8LVVNQs5jmwLn7RDCvxdj/DlpJYi/facbvQyr\nm3yMq3cuRL94Pb5J5RDWVZ9dEM2FzjS+E88iBoY7LZXszHteOiMkQeMuM+Ba6xM9Sy1lZtf1MdXF\nos/cVjHNtpVu3Uru82SSXPfY5ZggSSOGtDhe5vrzlVu+lJpJDkHUjUAIG9QxToz/BqChEa3XcbTM\n/wdGiYgfIIVtIjviGHLs/HjtoUFTDkUsF3mU0UYnswdcB8jMfNhfWCoA7G4/10WjHEf1a8qvpz37\n3lXzbYXsaJ1taSNjSQohfIikL5T0ETIcjDG+cpPlNwXOL5H0pj6uGZQeYJ9/nh29bHtKecgMv9j4\nTDCf3x1EAU2v8OE34lZ8Z310a4edAMK8Tw1sYGMAIoBDvJCmvNNxmVXGdYcNuhgeIIZdsS1iqp6l\nBsA8wy31QvVlWdO9YpyzEmzn86zXnPRxSwcm1utt644q8fl4LD07y1pOzMMDHBc6MHHMYLhHy1QT\n7/+FJsrsC6zV/3c9VjxsdmzbXSp9lzJrJ2PeKHfBwvA20HzCQD10Q9WQd4v38tv6OqyritgvYqxb\n5apL2zzm0A9J+r8l/aTuoKhn06z6OyT9yRDCzf77rfNuaFusZpqYX3ydSrEzAX7vqYn4GCOuOVcp\nPfLBvmTLc7MCXFS/ONCozwJP+3kYWM2F53vtMIOSsjBcSoBCHHU2S2DS2tlnP5bLXCp5uMgJHyQ/\ngHQtDSKZRRUQLNhBHuBeLMoqoZk19aBWHcCfTMpGyIC577eUQZAsPKWnqxDHuDwuN2+WLrv/R6+P\n985SoBIgu9+LNZEu4b7P+uuJNnJS2dSa77bKE8OsLJTd8PomHdvvDq489E8rybyvtoVyJLNpjPFv\n3unCpwJnCOFzYozf07ek9+mSpBjjN9/phi/DeGLfqKb7U51Av5TFzVObvlR2l24pMwrcMZb1tmOw\nCAfkrpMW8z5E0GZXmBt5bIz0+o304B5ZvBCg8sSQZ5u52Xn/oF7W6+wP9ulARZb7cF7WoWPsp8ud\n2oGraMgNd2Zad3Q/WmaNJ+YDsvl66+ms//oNrRoVk1CScswYtuvNPvxd0qrtHA+DWwdZ38pyxFU5\nPuMmNWYh1kkckhZy3maQTfGQ9VioO7VL+21ZvTy8xPUom36aKP6+2/YC54+EEP58X8Z5bhu4NQqj\np+4jA68af66MuTvjGcp1AHqkkxdpPVyCtwEjdsXydRyrrdZBlY5UxgNxfaX8LpWMyF3YGkydhcG4\navmNX9c1QPHdWS0VR74O35bvI8Y26J153KV442HPPGez1MjE682dTaMGcDbt7eM4Xs5EATZiqS6d\n8rDEUHcmrGlyNdfq9z50Qm9QKX33DkdcL4R3GuUH65FKoARc+XyoDJBSeU1y/dXuuLPUrbLtzqp/\nuRJ43g4h3AohPBNC2NiTPpVxxhi/s//4kzHGf+a/9QmiK2ND46jz2S/MVmUlEUNfAKRjpcwqN0Td\n8AP33uvQpVJ64oDq7HDUajWuEAkhXGaplBgtFql2nIw24MjvJHYmk/LGl07O68J5NJ5S1pUSE9wz\nUK/Z2qjtwxz9feBdkohJjnsR/TM9HYoGZlIPqhZSWGXIFyXg04S469L5qv/fKqzW5OPLg8Cz/CSX\nOCazWQn4y6V0rUmNjZtFf25braq9VsUJXY5z0vPA2wV2UiGEJ4nEphhaWsrxcq6lTmXssk61jJVb\nH1rEY3tY55YyTiqI7tQ2TQ59m6R/e4NpW21IQTCPL/lT3s3Hmtnvl6Gi5JpK7d6ezcN9vLTf3HD7\nZ4uc9GkWCTjICEsGKlUCY6VNNOZI53MA4vo0A4UnQJgGe/PqH4DGXWE6HsF0veyTwdGiAWXbZi0q\n+8QQHfN5AkL/byR3ui5LlZbLHKM9XGTQdnmSJ8Owuhs+1UJHizLTzjEBdA8Och37swflOgBExO9e\n3QQAa5lBjpinu+MMzOfA+Wz/PpOKgQLZJuwSxYdU3rB1oqiO2196sijGXPy/ZRZCeMnQ9Bjjz26y\n/Fkxzj8t6d+V9CFVnPOmTjZ52XqbrJnuAfj6/ci+08x2KRU1yAT+XdTsbcZ8vj2lSoLVmDVNZmeA\nBqBGFhugcSlN0yTmhn7SR3EEwOpadVxdRq30zkj1u2fcb8/K5BTT2/ZkW7oa3L2bE/tCqaQPN+xF\nAPN5fgAgo/JKJa8WqkMEPEgYNZP9cKG8g6aUgLlpMuP1ktfQJInTROkhV1dQdf0yTZPO9UGnlaAd\npkn1mXdR8uQQoRyuK2KkDp6yz1zH/O7W2vwA56VpOKO2lnFK+hv2eaI0GNzbJL10k4XPYpxjJZLW\nqpSw3ZL0lzbfx8s113C6i+6fa+MilnKZnAf/cb3ot/+oyvgV48vI1sHNQKZ9ry2rZZDhdNW7u64e\n3xy3uZ8ktq8MGoDKURUTBagBL3SYLOfz+jTawtEY2AX2tZAfludutGfSV0DflG492/V9ha0ynf1h\nfKF6GBA+U1oJyPpnKb0fLTPwjZrUDcqHDj62MMHUAJNt1MUCiNxr/S915zw8EUGTRJJK2RGg6O+4\n43VoqGall840Vxa3Vo4UY/xU/x5CeL42rFOXzo5x/oyknwkh/E/1wO5X3Vxhgm6zVQbSTvli96oN\nrwiSykG9pOS+7ytXm7j205e/1uRryqVJnrSQMvDM51kaA1gg46EGHG2hN9WAFUoqBjuTMvv0aYxJ\nVAMitd/usrOfsEWvJff4JYktly5hNSE5nJfZax4mt2flw0A6GVel3h0whukubKRNwgJe0OIaVHfB\nYbsc2/kieQhS/s+cC86X6zG5Lhrlhy8NX9z7aZVb0Pn1B6gCnp1SqKB2fh18a1vnZd03217GWdsT\nkj5m05k3jXHO+n6cf0J2LmKMG9HabbCzLiA/EP4Ul7IEhDFgfNRCTxr5IGyAZqesBaUCZU9Vlrwr\nq3g8/rgSYlvsEXCqWamP61MD26j3/xxY/HeWGRlIA57sqw/0NpQMZZ9r5iil9Y5MtwqIsR7KK307\nPjpP7ZgAACAASURBVDa8Z9cLwX6r1QBzK52oPSDYl1GbG4A4e63F76vWcm0G41XVlf1Hb/W3WEPv\n6Ibk1UIYh85LLeubsbNplu8qhmrB6jg9rPNSK4u22FUPIXyb8vOskfRvSfrFTZffFDi/V9I/lvQf\nSfpipXGH37/Bzj1f0ncrlYR3kl4fY/zWHoQ/Venc/qakv8Ioc/1vnyzpq3rGe+HmMSCpBNWlsm5z\nrHxxkrFslS/oZbW8J4COlNnGRAlIb9s2tcz6QBeVSznhEA20aOsGgBwv07T9HoyeOTjp7o6VXE9n\nRZ3fjb2xbYBiOk1AQ2zVdZtSCTyu5/T18VtrQM3Im4DR7Xkp6+HhQN26VIKls+NVnFX5uACM+yaY\n77oUzvAy1lGbloFpemOQ1elZlsAvJVed/0UyaaV06LIgnXNP6Mb7tvrY60xz+RrM0j0h5iNEJJXy\nuGo3C7tcl317Sy4lPW6fl5K+r1YOnWanHXO3PxJjfIOkoxjjz/T1nJ+wwXJLJQD8N/r5vzSE8NGS\nfkLSx8QYP1bSr0v6WkkKIXxUv9xLJH3ppn/iNKtr1LGFklyjvrD8aT5TDtrL3qU88JbrOGfKYnfm\nDTbPYb+9lRjedIvHXe4ZudqXPjvdtsmFlTKz9IHQiD86KKGRRKyNW980JatimpSqaTzGOZmkaTV7\nqxNINctlXtgq7PZ2ldGuARngBiT3+v84naaE0nQqPfpoOTgd23IVAg2SV704TWxPLT1JNM/ou7qg\n/i4lV70uBeV3hOqy8++VQq3KZsYOegzwBpgColJOLgGoHk6SynhmzYIuPc4ZYxbunvW677sW3yTp\n+5QSQr8o6V+cZ/lNGSehm98NIfwFpfGMn7fBzv2u+uE3Y4zPhBDeJem5McYft9l+XjnRhPdbj5p6\nx0aN+jqrVfyeYccaZTcdJjBWGaQ/Uu56xHALnhigRn2sssPSsgJKvnt7NwBiZOwIuQ/ZcxI2zO/L\nsx1Y2I0bGTRu3Ciz5Mzb9K61u+qebQaIPdvtagDY5uE8xx6lYfd+Mknr67r0P3CTcdV9+A3PrAN6\nGA1J0Fh6RRT7R7LLSzhJgjFPnezinfCN79vqnHX5OvHB2DgFXBMOiEubV8pejpTLLaU8coGDLd7Q\nOn2nlKVRl2rb66r/GUlvkvRbSrfk80MIn3chciSz/6Zv8PFVSvrNm0qjXp5nRz9C0osk/UL10yuV\nwgDqh/ucSvo5lXKBe2L+tGaIDAwAxX3i4iXW2aqsOyaOuVTOilLjzqXD/FFWNtfm99o1lEpGN1Ip\nSId54YLDFj3L3PU74GOZ46LWyQ0X2APEXZf0oA5AXgMPOI3HeZ+k3BA5NLnc04fjIGPuSoI6FIDL\n7vveNGXzEtZXe4TH1W8r1jgvq6vqeC2Aj+svJTecYZ5ZN+3+2A4idpQXHraZK4dpuFbYXW/+UQ/+\nxuXgXhDXH9M9KeRu/aWzTWmrY5ySXivpz8UYf02SQggfqcRA/51NFt4IOGOMP9J//IBS/PFcFkK4\nIekHJH2FNwgJIbxa6Tx/r23rrw8sH3QPCiHc5TktdlS7TgCgX7TEMYlhuSSFWmXfVui3VWeakdE4\no5Qy45r3WefrN7KrLpVMjzgogLY3zh3PYZZdlwEQYCEOKWVgmkxSxyJPKJE4kjKI1dVH+z2Qeixx\nr81Sn5UmtCtBDIkRAObZeo5H12URPO3m2v7EHasEY16Mn05FFa6+1+ivmOWiHFoD43zGTquOVf75\n0ObFZaKhdVDOkHPdXFMCVAATVtkqaz1r8JRyIw+uUU8MXTRohhCeta83YoxrBzo7adsrR5K0B2hK\nUozx10MIdZ3KWtsIOO+md12/Mz8g6XtjjD9o0z9PKdn0Z886Gf3v1M0rhHCOkzds61x03GqstXcA\nVcoXtDNKB0hcqWi/SeUwxJ6Z9az5qClB08XYzjaXTZYdNdX1OeoBGGaIu035JoAqZWDhs5RDAwi8\nR+OTmktcd2eEbdsP/dGVbM/lQMQZGUHTEznugtMOzoX6/O5hA9824MkDZKXHtP2WcqMQzB9QnmX3\neY4l3e5SSMa9AxjjvnKRhPfl5DogueNACkjWF7Sne91q17sdmHaROs4Y4/Wz5zrFtpdxPh5CeIPS\nYG1SGqztbZsuvKmrfke963qm+AZJ7/JOSiGEl0v6m5I+KcY4W7f8Rdm67u9SOS61J4HqoDsZcmeh\nrU2jNJNpzD9Wrlk+tmWvNWXMzuOCZIKPbZqk1bg5o1apdhoX3tilxylXAvhFdnGl0rXtOumY9bSJ\nyVGaCFOUKqDAbe4yayNWCdsEgJAB0Tf0uNOqx+VqPc1JkGW9DopMw4Um2VS7+G3bxxTtIbBnCbbV\nOE1tuX2248fu1q0sWufcsQ1CDbX5YGxtf21cUwZKwj+sD6WGx8z9xqy9lfoBflqc81ItSsfLu+Y4\n98q+RCkB/WVKp+hnJX37pgtvCpx32rvuEyV9rqRfsqE2vk7S/6D0gP6JvkXdz8cYv/gO1r+x1Uxy\nndXJIRgDF3sdcAc0fZgMBmrDqCK6phzTch1n3a0dKVId81yBxLKPn1ZxTc9Oj6oz64kb1uV60TRT\nDgc4yAKItTsLMybWetxJS4ufznoXP/bgPerjlgDPXnty/xaLLPRnm3WtvQO/VwshV6I5CQ+Tg4O8\nrtks9+lslY5jPbSxl3SOx1K30KrLv5TGdpfSOboNU7frgr4GsEtUFFI5+iUxU9ioh4eIgzrQHtiy\nGGAM86yF8O/T5VmMUnfuFsH33kIII0lviDF+jqQ7ao25KXDeUe+6fqiNoez4HfXAuxdGF5lHlS9I\nT/50ypl0bo5OuWGxG/ITZyfccBPlxMBY0uEyC+K9UmaV3e2ZmQ9attpODzoTAyEpxz8lrWrLPYnC\nfMQFia3W2eOxMUZA8lr/Z+mwjnvu3es93sjgas5GfV+9dp24Lg2InXEujC0jG+KFqN5tSFMKIIem\n1ILO5zn268wZW9W023kfSZotEzCO2iyMBx9w01kN5ZULlTcCQOfxzKVNv61SfXFLZbVbTXTH1fLb\nYt0WEs4Y43EI4UNCCOMY4x1FNTYFzi+X9HUhBBq8hLT9ePNONnoZNuSuY4/aZ0AS+VFTTec32Css\nVMo16GPlmwEQBTw9kM+NCmhxc0vStC0ZXm1Hy+yuu4wHtkoc0bWesCkXtyPkdsbL/pAgoYRy2WUp\n02rEyH5dBwcnyzeP+/V5DHOVsGpLJcH1aUpCwZ5nswzKnvFn32DP7u7XygGpZND8VgviYbBDjDY0\niZESuqEx8bLfL2eNDq7H9lnKTNMfxFw3ZOG5Ng5tnQ7KUtYPS5lpApoOntuQVd/upLp+S9I/CyG8\nWalRlaTNm7NvmlW/q95122LvUyphGipD86e0P9mJQbm+zgEV83iny1E8UeAlmkFJUD1RBrV6iFyA\njnZnjNgolcDjmeNRI7XjEpScsS4WOd5XJD6MlXp1zWic2Rm/LZdS24Pzsz1gOmh65h4G6/tBfBNQ\nA7DpPASQkwhj3azPFQQYcWEy4SxP9t2VC97sg/XNZvn4cUw9hukqCSm74DQflkrQxLzLu8cmF7Y+\npEwOeACgd4/n2vFrdSVr00nG+V5dsm2pq97b+/pXo5Nj8J1ppwJnCOGjYoy/GkIY7LsZY3z7eTe4\nDQb4SWXWnN8wnuLM6zEoKQMgy3Oh+zhDrttzF27V4HZZxh49i1xrPOly5AkJpD2r6U12v7FCxG0s\n142xflZZ6GXJ4hiKwnWiuOMukK8bgQCkMEDft1VH+EUZ76TM0sX3LMvv3hBlSP+KEXt139aPt4vf\nY5cz8j7vgV0UjXJRAw9CvInaXWeT+yqF7lLJRpkPwKsz8p3Ka89Bsk42rf63tsO2lXHGGP/O3Sx/\nFuP8KiUZ0muHti3ppXez8cuw31M5lnptzixb5TgmB8ovYL/4mWffvnulCPITv+HG/UpuL1KWvevj\nZYcGJKukSw9se6fcEegrXeIE0FGG6fpOLPR3HokepnmXJDoTodukWUhsSwYn5X3FPIMv5VjscZPj\ntd4oY69f92yW96HOYK8eKsqu915/rG7P8vYcYIlZAszHtt/OkleMc5nZ3lIZoKhBZ3emKgf0k8oO\nWpTa4pEwzjqt5cbKsc764TzXyWuutRfTVself39al28xSsstZZwhhB/WSRXYB5Rq2L8zxriu4ZSk\nM4AzxviF/fu5Re/bbC4zclva7w6gXPBSvnmQGHGDtMqSpKlyINhZp496yY13LOmDbB+m1jqtaECh\nPhlSMcp65EvA1cXbACXxznlXDo8rZVDz5BAMFTfYmeKkPyiemEJcjt4TFvvsLMuovEyRJsdHPaN9\n+ulSTiWlbbLOZZeZtSeaSBR5k+LjLteoY7NK+FavR8oJseM+XHG0zIUNe/314CppDjMexUg5Ww/I\nHSvHH8m448LXnZN42ALO7u10ygMO1tclNpRZvyy76BhnL2P8VqXD9l0xxr9b/f4SSf+9pI+V9Jkx\nxv/9lNW9R9KHKFULSdJflvT7kj5S0j9UUgOttbNc9U8/7XcXtF8le0rpgny0mt7qZF/Epv9OYscv\ncJgAGXe0mu6W8UgjJuaNjnHdCQlIuWrFyxOldBNfm5SC873xcEzUP/O9bljhsdFRm4fHYF4fe921\nnLA0ElneUQjtaezXTWXSqJGOOmnRJ3+CBepgewwN4rXifKbR8pAEiQ5LyK8mkxTXHDWJ0fIfZrP0\nkPE+ocSPPd5JIovjGhsL43Q5XomsrA7dAJp8B3RhjnV2vbFrQcqdkqST7jgqj1bZY+lsPX79SqlH\nw6V1f5cuNMbZS4heJ+llSr0z3xpCeHOM8VdstvdK+nxJX73BKl8UY3yJff/hEMLPxhhfEkJ451kL\nn+Wqf+opv0VJVxI4saeV29u7efwTl52nOAAK62yU3blDJfYIqHpWfYhZcFMcS6uyvZHdtC7o1jKD\noQ+hQVYZhkgGXCqz0lLpTvOd+btO6ixGySBwUgYSd8G7Lg+pwTwwOJgfuk6PrTJfOy7X5fsImNVj\nL3k8Eta61+8/yS5PiAHEHMdRT9F8mg/DTCz34CAfN85L22ThftNk/SYuPOfRNb2cfzwNRr9E7sZ8\naD5hrVJmqZwub2gMiPLQZZ6FtkuKFKWLlCN9nKR3xxjfI0khhO+X9GmSVsAZY/yt/rdNeO6HhBA+\nPMb43n6ZD1dioNIGooSzXPW/ssEOXEmDVfoR8phmLTTmTNAJnrgU7IIEwYEysI5s/dxYZFNdCM1N\nRVf4GgA8/ubxSSQ1UumaO+tkedibdzj3ah132QEZj4PCMH2YDZqB1JU3Uq5AAqAYG5798pJJykD3\n2lJmxQtQ8y75hA/ohsRY8B6j9P/G/rl6gJdXCrkAHikS5555l12uRcf9lnJ3rGObjofBg5YXD06p\n7HFAoxiWwS3HOM2AKg93B09+v3RJUrxQV/25kn7bvj8h6ePvYn1fJennQgi/qXQKXiDpr4UQrit1\nTTrVzmKckqQQwn8r6Zus2fAHK/XZ/Ft3vNtbZO6aS+sPSg2kY5uXwdlgnx7MJ945Vyq4r70XbsIh\nGZJkMTcDANcfTiZl8gTGKJUXrs9T13oDHA4yzni7ThoPxB8ddKlTpxO96zdxp2n+4eJ3Z5Ndp1UN\nPv/Pu9Xznzz0MDamXCeoWLfHhcmcoxIIjbQ0lGHZupySeY+6zPy80z+MUCplQXRMIrbN+Wbaav3K\nDNWvH/8s+86DelstRmlZywnW23NCCN5c+PUxxtfb96FCmjvmszHGt4QQXijpo/p1/2qaHA+V4qSn\nWh1bXmf/IaDZb/RfSfrzd7C/W2X103xp7/55rhQr8oGy/Dd6MPL5afvcKctRAFZuFk8iMEzsgaRZ\nlzSeXou9qvO2WORqPypXnK5Ex11aB27y9WkWynvvWNaH5tGTU4jcPbvvgO5x0OVSxSiYDmRU6Xjy\naTZLiSOvRx/1gH64MOC0J5bHbffakhX7MbhxIz1Q9idlc+aFrdd7lgLGh4vcG5T/MBnnSqejZY5j\n81DEXQbkAMrQT5srM0pGQt1XdrcZARMb2fqk8ppzEJ1Xv1G0sU3Wxc1ekp6MMb7YXq+vVvWEpOfb\n9+fpLipKQwhvjDEexhh/Mcb4DqXDvnFF46bAOQohrJQ2IQTGJHsgzC+22kXHnlIGxIVyd3i/YTqV\nXXC4gaRSv+nMgsG7pFxWt+zXPzNABHgALxgjrisNLBwYYpddeOJ6gJ3XwgN+DBsMY3W3HQA7Njfd\nGWvdD9NlPmz34CB/Zv2A4tEyM2L2z/e3ljj5f4LBunaU/+GSqiP7nQcBUqZVVZEdx9ki60gZWvio\nPzfRzhWxSYbM4DwjkPcSXBgnoRxolAMl19gtpWvuoP/s1xxWJ5KkfD3XHcDut5FV3+S1gb1V0gtD\nCC8IIYwlfaakN9/F7v1OCOEfSCsP+ickfc+mC28KnN8j6f8MIXxBCOGV/UbOjANcBXPWuU6eVHdQ\nIhbaKrEGGhdzMMmMtspumY94CaPw7cyUK5JIOO1Jms2zjMaz2DDJ+Tzd/M5O3X2WcpJE0qpMEaBB\nm+ljsAcDyzqbPbL1X7+RXWqPcR7bMgCYxxBZT1FJtEigdXCQ2R1hCCm9U+bpOlWY4qquvEvHi+5O\nvKR87HC5D+cZoI/75Tgm3luT0S3xDHDDPb7pRqyShA7JHCmXVuKhOGP17vHYumuyjoP6NGm7YpwX\nAZwxxqWkV0n6MUnvkvS/9o3PXxNCeIUkhRD+VAjhCUmfIek7T8uOxxj/tqRbIYTvkPTjkl4bY/xH\nm/61jWKcMcZvCiH8P5I+Rela+YYY449tupFtNr/A6oNB7NMZ6aqXpvJwGN4ZSfa9s9+lzDj85vAb\ntI55IV3Z6xnn9Z5C+HAR2CM3MmgCgNizs8y4DufJfZW0ylxTk47UCElRaHJTj1V8sMt6TNdOekNm\npEVSHl8dFujxSanUjAKwDOC2PykVBOhCudGOjOmi9fRkmBshAuKuVEb5d6nM3C8lNcveg+iyew6A\nUiUGi6SPwUK5Lyfn/FCldxGVCqTxPPBOWC9ejD+wsYW9w3pRaNTzXrYk6SJLLvsmQ2+ppn29fX6r\nzhjSp5JY/gtJf7t/jyGET99UYrkRcPb2LknLGONPhhCmIYRHYozPnGP5rTMHxDpBtKjeMS7ShRLr\nrEGTTCvfj22ZRjm+4WAKQ5FOavRGyrFBBN3OJrnpnzlIOs/ZLA1o5hIb4pRSAiMAaDrN7vGyK8sb\nyZgTJgDgHn20BG5AygXwq+NLuaPS9r1VHdPqGnmva3eFQT1UhpT+B7FVkk4AIf8TwPb/xfaenWW9\nLGz4qM+ae+UPrjjFC3SE8Oy5Z7fJkqv/XgvmAVYeoHP7rVMJfFw7POD5HWBl+br59lC46X7bBcuR\nLspqieW/VDpFn6pzSCw3zap/oaQvUnqA/XElacB3SPqzG+7s1tlTGi69XOfe1EF3LnJnlpjHq3w+\nZx01u6TihH2Aza66K3Wle+3ssuuktkvMsO5wBFBMevCZTst6bBfQS6W7723q6u5ElC0SL2S/jhcl\n+B13WQQv05iGChgdFGv335NQsFZP9tTLewjAl6X6CYaLtArpkdSL9fvz1TYJRJ00eQzTvRV34R0r\nWuXwDOccZtooV595x3cXwbfVugBNKYMooLnU9oCmdO6s+n2xi5JYbhrj/FKlpsS3+o3/hqQPvYgd\nuCwbGvlyUb3WmTORTiefPrASv4D9+mnsu/dh1MD6OvVu4vIk61r0sU3AxhM0XQVKLPv00/k3jw16\ns2CPbRL/80bDGL/TzWg+z+47dm2Sm3KMmtwYhM/TaR9TbU+Cp/8XKe8j23rmIGfAj5Y5RrlY5LZ5\n/O/FIsczD+04Srk8k4z9XpvPMeWylFuq/+yg6ZU/sEOmA5rEu30+Z4zoNz2hWMfOWU46GetcDszD\nOi7NLjDGedEWQnhTCOFR+/7BIYQ3brr8pq76YYxx0XdrVwiB6+BKW+2e179J5Q3iuk0vyexUrsfZ\nJMzRk0SMiLlQ2TZM9s70I6WQAJU7sDn6VbqG0l3hrkuAULNQwGFVzmhliJ4g8lr11tirt7hrLOHD\n/MRAAVQ6xTdtDjdIvdbT2OGokfamKTkEox01WiGCgzsDvhE7RZzv++0PEoTyHJdRkx44sQ8NPHtw\nkvkeSitqR+yx688Z58jj02NlwPPYJN9x53nYTpUSgku7Vupu8TxE64d4oxxLvantYZhDtoWuOvax\ntcQyhPCiTRfeFDh/JoTwdZKuhRBeJumvSfrh8+3n9ptfoN7kwwGWbCpJo87mA0S5wY4lPaPU7I91\nIE/xpJG77CQVYKQTJR0hEiEvOSQmSLKn1nPCzLyjO/MxbfV/x+VnBxLccYzSRXeJ6bAEmC2XuYMS\n4AaokbFvegBbHX9z8x0Ur02l5Tyvg/8AyHlyh/99e54SYZ4AYl6XcTG/hzVWCS7lsEkn6+DdXwPX\nlZt1eK05zBLMGNv55MHp7JMEETFTf3l8U/009knK5Zuy+aXyWr6sBFG82Mqhi7YmhPDBvSZdIYTH\ndI6cz6Yzfo2kL5D0S5L+c6XM1nedc0e30k5jnX7BOoAynYMHA+Ea2VPJAvrwXuH+STkT6u6Ya/5G\nSvXRklaaRFggQnaXAc3n0iM3c8IDwCDTLOUqI9ZJ42Mprys0SUDudtyV5ZZDJZEYzT1uz8ps+apk\nsZ+XTvBNkyVXHsflf3k5qd+IJIDq7bsEiRADv3uLPgdTf1B0XckgiUdyrsiIUnu+b/Mhese87NIf\nkDxA69/2lLSbZMul3FlJyiyU2CbPHb/eEMJz7V5qVn17gfO1kv55CIEOSp8h6Rs3XXhTOVIXQvgn\nkv5JjPH959/Hq2EOov7uwMpnEj4wTQdAEgcj5TGNudg9fuUZWTLxR8qVRiNlXeS4KW/0uqnHStTd\n30GrTHw/H82RieeRaYfBOrjR0FdKoDWfp+5JdcJJyppLqa9Y6lSMa866vb+nJ3+Wy3JcpVraJBlT\nbXsQWZZt41yjKuW4px8r2tx596WuAlHAejbTqohBKhOAnFNcbFgix8vF7WTiF7YeHz76yNbNPEzD\npe9Utolj/nW2LS3lJG3tYG2SFGP87hDC2yR9stJt+OlVp6VT7VTg7If3/a+UhKehn3Qs6dtijK+5\n893eLjuNdcp+g3VOVWZGcZuIZUmZQdSZzqiyW/ieTrrnUo6NIr72zu3OMv27sz/vtenMlMoY5D5S\nzny7+++VQSv5kO2HlN1tmNp4nF1vT+hMJlk4v4qbGgscNdKicptx2Z0d749TNRVM+dCOg8ugnOXU\nDws/Hn5cAFFfnnMJi3SglLRq3EJM23WZUm4jyO4gcN/TSfDzbbhXU9tQzHObbVsbGUtSL6B/v/pb\n2LslnWVnZdW/Qimb/qdijH8kxviYUkeSTwwhfOXd7PS22WkyJE8ITXUy2wljOFTq6u1DKEg5XuUN\nbTvlOBgxMymX6cE8GuWbmsSIMyzAgOEzajC73VfRUGnk8T06uR/bd2RIDKnrYOasTCpddQARgPRY\nrI/3zn77fzo4KJM+83mu/kFoD5izTW/8QTZfKo+N1+NPp+m/eqKM/+D7B7PFAEtenuihk7vPixie\n6+LZ/nzSJ/NISZpyS+la4TcMEL6hMq7uoSF3yz1rvm2ACuPc5HW/LYTwihDCb0j6fyX9jNLgbT+6\n6fJnuer/maSXxRifZEKM8T0hhM9RKlP6lnPv8RYb2k530zlArdIFTugPltqpZKz1AeU77AVQ5OY4\nVLr46+Qj4Cr1N6uB4qJLukzvpH5oPpqzPaQ3k0nWb3r2GSMJsz820LFYI8mppsluv28LQAN8fWxz\nRt4kG+/u/er/LssGx/wvYrfsE2BLKEJK81FF5PFRjJjvqJFGkyzWR4Vw1D/ZXASP2BwhPOeoU/mg\nA6yeVc68S1qVVeJaA7S3VSZwiFV6ByXCNrDLVsOgyfelyrLgbbItjnF+g6RPkPSTMcYXhRA+WdJ/\nuunCZwHnnoMmFmN8fwhhb2iBq26447XOc6nENj1z6Qkfrg9YB662j3jJODP7yg0bcPeYn9gnhmu3\nXOZtjQ2gYFWzWR4XSMqMDoChsqjrysSPs1PAd1WOuMyJIHpxUnXk1UtU4fgolZ5EYtgLQgOxS+tm\nvQynsVj0HdeNGXpogGYc1NPjzsNM3RWXyt9dBD+d5mMkaTU+OzrQTrlYoW7x5jjgVUR1qIXwy1LZ\n7UaSpn66J3HGKh+ebIeMvieL3OoRC2q7zJjnllYOYUcxxj8MITQhhCbG+FMhhL+36cJnAedp7H/b\nPIO7tsdUxjPri9Gf/B7Ql02rM+c+3AGtxo6VGybT1LZTZrCtzc++wH7YDynH5DzRgbkI/bgrB0Sr\nq48Yf6htT3ZSx/YnpW5Uyq488dJ2nNd5tMxyJKqepLLhSNf1zKrNIQQYsSeLlgbgsOXYldM8aeUu\nvceBaTFHldDtWRlqONHhSfnhR2hFyg9RXHWKGEj2OTOlbSDzyNbnXgXM0puGTG0+3PnWPvswGdJw\nyfCl2nbLkZ4OIdyQ9LOSvjeE8AcafjYN2lnA+SdDCLcGpgddclHCvbb6wqv/LPFHP9IkgZyKE/Ny\nUTzYUzez9eGDYbYkocjo+vANdfbZxwX3hA3uMi4rbr8nRwAbptMbk4oaYpcjc51hbmTCPea6Z+DX\nSlo2ZcKpFqr7QwAgh40ynX6hh/0+XZtm8OM40HUeIISx0jykaXKjk7rDvZ9bziEjUTowSilGycOT\n/gTudcBOiVljgCbT/DrzYVm4RtiulEFUyqNYnuaeXzZ4bmPJpdmnKZ3er5T02Uqj3myc8D4VOGOM\no9N+f5isFhrDBohFEZdygIWxtMrMkhsGETzrqOMe3CBe8oeNxyUwOvNrHLAse+yxSSpmpLIeXcpx\nSoBGyiEBQMdlQnVTZACL+OG4ar7hVovO/b3rpM7AlHcH2ONFGWNdLVexHBfWczyonec/oiygnpWJ\n1wAAIABJREFU56aXUWJecw6LdNebc0kMlHPof9t3rdFJkHTwvW3fnWm6uYdU/OeBeS/DttVVjzES\nZelCCP9U0h/GGDfe27Oy6g+sDYmCx/Zy84wmBtvwC1vKQEp8S8qg58PM1h3Bj6r5kDz5vLi1dddz\nZ1XSyew3y4zHKb5JuzgpJ2DcpeUzzHUyya6+N0ReLBILfPrpsv1b12Ut5WyWQdNdafbTt78/yYkj\nZ4CLRV4PI2ny7qyZh8l0WoYVfKwizJsmI6FaLJL8i3ilg0+rHPNEZuSjmrrrfdi/jlVm1PEiWju/\nE1s/yaC5rZP1emyd3q03bJl1zPMyxe8X3Mj4QiyE8AkhhJ8OIfxgCOFFIYRflvTLkn6/H354IzvL\nVX+g7SkNN/vAuHGmA78R9K+fPB6rovoEb6VR2aPRm9vyu5QrUeobwvWNuOBknz2GyLzuOnssE5fb\n3Xz/PB7nnpsA0OEiJYfq4XSlLJKXMkjXbrnXgfv/KfSeTY4/enmoa1jZ125xcn00JJFl2PnfAKoz\nX37zoTmkkyJ1z6JLZeyzHq7CH6bOWAnhrMaXUr6+PMm4VHlNOWAeKF93AC3fffv+fqm2nQL4/1HS\n1ym55v+X0rBAPx9C+CilMdb/j01W8lADp1v9xPbvQxHj+sDBCGkJ5jEOWIp3fx+pHFaBbHrdPYdK\nok7SuHe593r5kYMk77jaq/3qpwGEACTNinHfYaj7kwSQh4sMYl2X68uHxjwCAAErZ8RM86TRXpvj\no/zmY6q7W836kSPttVl32jTlw2B1vLtSwsS+oyw4OCi1ml3Xa0m7sjuRZ7I5h4d2LimAeNbOtyeR\nuA5qAOVakX0GBD0BibEftaJjyFCFSJc8pnpvW5gcamOMPy5JIYTXxBh/XpJijL9KE6ONVnKPdu7K\n2Fmsk6d7nQSSSlcKhQ9uXKMMvlSKkPxhuZG9aikKTOJYGUgAt+NlydYAvqOl1M1OAqlUVgyN2rR/\nMDkHKurhCz2nbVtKri0sjcy5A1id7JFyaIDuSAz5sRred1z+n7qzkZSmuV4VNurZdcoqWR7pE0DL\nw2NpEqXVdvv1ekd3VzcslevDo3JG/bqydwBLJVTDAH88BNnOQjnGifJi9b/6dwfBVvnh6uDq1+WB\ntoRp9hbzQGzbZH6ob1e/bby3Dz1wSmVT43XxIo9FccFLmTnMVeo86bFI70YqT2gEAROp5U24/166\nOVukadMmszKv5sGoMcdFdbdayskPWKfLfvjuFT+snxp0mFuoAIflpVz/7hIf1sP+HC/7DuiLcj99\n2ytdZ5fXxetomZijlIf+8KEvSGbxgPGQhTNg/951mdX5KJV7ygm9iZ3TRX9uADe/Jgi10OzFq44A\nUWeZPChJIiKSr13wscrtSDlpVAPmNrDNqJMSry0wlEJBqdsbqqFzKYV2wLmBDblPQ1YnkWAuZORJ\nAHks08v3SD5wA9Wias8OD8UmyXJ7MgZgcleXixnQcRkSLv1xl8GSaWpyttsB2+OGPmIkAE98lH1d\nLKzSqs1Z+FUPTmVQ9gYgVPX4gHGEEUbjLFnqunKYkbqRh1dOcVw6pX1CIsY5kEq2KJ2Uj+EdAF51\nvwLv7k7yh/nxPjic7tb7b+tq1x2XtslFl7SVMc6LUgrtgLM3Z5pDrJMLu76YpZPACnuAObo0xZNC\nsBca4rLeuU3bV76BvTUcN/1Q+aSXPkrp9/1JdsM9Bnm81P/f3rkHWbbV9f3zO9PT07eZi5cbRPSC\nXEqgAHPJFYixNL4CIaRSFTCigEGgCrQkUIABo5WXgcQqUAvLSjQVK5LwKkCBRGIlIgVYROESUd4Q\nBRKkLo9cEObOnUfPmdNn5Y+9vr2+e/Xep7tnuqf79KxvVdfps/baa6+999nf/XsvVtbLeKurnWrL\nvBzn0kaftKFIfxMjazlnTq4U1fxEtqduzItZQOaCuUmmZ8+WY3sYlUhZc3Epu45fPXu2Pz9P23Qy\n97TMlZVObRcxSiuol0JxEnSy0u9C99VtotDVYr1IsW1KevUUyTX6vz03Da3RdzhB//c04+jZNR1H\nUFXfFzTipNg49eMbCklyOIk6XOUSCW7SJ9oJbK3JrRUvteibO4Kge2gkveiYChCXtHVxoxCiB5VL\n0lqrlI86FhK2fz+x0pHlmTN9adWrGokgoajmnv4p0ltf70KgnPQUSyqClxQpSEJ1Fd3V+LW1vtde\noVJeKMRDjGQK8Iyp+mUD/UQDpcr6omtSsWXr9GweL0Ls91620nnVX4fWNl+wzSVL9ZuxnTzdg37U\nCBOOfCHjq0IjTrY7iPQGH/K0ixwFPUz++5hSpA8VcLiRIrnoJSx13B0AapdkqxzmKfSeKJGNZ9ZI\nvcaI0Bc3E4nKoaPCHlBsmfqhX9zoVzqazWBzUo4DffupbJ8nTBR3KdVz6D00qi7IMQTtI+LzVSud\nBD0U6sSkX5Lv4rx7Kbk07ioyFGlS2Vxb1z2fkiKm/cWoyz2jIz/ZN7Xd7aZuH1+lT7L++3G1XH0U\nr6njHHXSFI6aqr5faMS5AP7mH8pbV7vUK5ckJF1M6NfrlI3TVS2XUKQqrtE9qFPgJoqdbWIeZCjE\npgXQZrMurMYlK5ckN2edhOYe+tmkhANthQ1NIa3088zdIaQlhZ1I5ZxSfnq9Qib0Y07PX+gT/3xe\nyN2dNqfW4J6zxRzgZKxA+I2N4iSazTrSBJjOu/tyw6QQcEwyYUrqnW93p07pF2g5TwlDErmqn6S/\nOUXClPTqawhtXQOK3bu2j+pFDP1MISfoKZ2qf9SREke6HufVoBHnAGpbp4cQeahIHUYCfSlkThem\nNLex5lh197yPHgg9MPLC6yFy6XdLkskECV1B35Usbc7m3RpFKsEmCdTTJT1ryLN5VK/SA863zBLz\n4tEW2UklX18vc7k8zfPJ0p+k0IkRl4csuQ1TaZ3YMfXptk0vH6e6nT7HlZVO0pzP2VriV2OJUHUP\nJvO+XfkUhezcfgn9tYWgIy/dH40HHeG5PRO2V0bSfpIk3aIyYzsxet3OZSBNKJlDxxGTnbtcX1it\n/vesIZdA/cINvX0UTqKAeF97xqUbD7KeW585RbrRvluFkTNBipBPUkJ3VuQwyWQpKdS97yK+uuCG\nx0C6zbSuSuRhRpI46zRQGH5oFCrkIVI+l9rJJWJ3Z5cIUusUuW1zyIte/8gV3bA6KZK8SE3pkn7P\nvKI7eZsHvK9RNAndk2m1n99bQeq6v5inFIKcVX9wtOI0d8QRXh74atEkzh2gH7bgkohLoP7j13cP\nnp5TSNj308PjRUSUUSRHkh5YX8NGY0uKld1smgef05fMRC6eoVNLcVC80JLifAzo2xe9stHJ08Vm\nqTxw6IjbydHLx0niVFHhSxulpqfHY545Yx7/af9h03LCdSyoQqhk55zPSxhQ7TEfcvx6mqzyxl3a\n3KC81HQf3fZ4ju22UMF/P1LXV6o2t3G6I2jZ0GycxxxDGURS06HvEFq1tqHMIs8i0UOj7BLFdip+\nUzZQJ1w9zJJ6RIwKnB+KFYVMWBRpdGOaVcA8OVeDRUSqhj6fl3JtIsrzWfQ5ZTZFqefQt4mqkLLs\nnZHDkDbnXRUjQeo+lKD1yxXBb8WEzkpcqBxKm/OOYGtnk1R0YXNWrul0XqIadM/m+TrpGqvCu8LA\nlAGm/31tdbUpQF7w+6IoidqROKcQuJPmzPqIlPW3qLr7UXYMNa/6dYJaTQe2soAcumiumk3oG/tF\nhqt0qpdCjTbtf0ksnnY5o6TyyWkwzf1upC/1eFaLQxKtpKC1LQbJ201trzNrYLun2z3nTm5elUmS\n5gkbt07bjGzL1DEVpL6+XrzsPg9JkzqWr8gpc8EFvwDTQkounc/pS5lyvglOmApF0j3yRdRqqU8q\nuNdU1YvPnX/+CX3ylK1zbv28b23PXDbJs8VxXgcYC4L3wOYLFDIVOW7FWFKkGSgPhlSvr1nbjFIe\nTLntsmOq/qbIs66itGn7OSStrFAIWZlLW/OY9olTUufJ1RKi5OS1mQnu9OmSoy7y8zqfWymSk1Ic\nBPpqtIciXZ51x9w6TpZMlWE0VDBEJNqzY1KcLXpRyTHnRTluyGNcKsN1i+5NIGQ7tfvm187vxQWK\n9AmF6Nz5o9AjmWfcY67jSP2WxOmquT71+1hWHPFCxleFRpwL4Gq6/l+nSHkiT227QMlXd6+piLb2\ntKrEnMj0RoqKJ/KUKlmnXyq4WsfQwy0il31UxzlB8XyLYKDYPRVKNMkqu8eISo338mtSjWWn9EpK\nzOHkWj98SYR35kzX5kH7SpOE4tQ6d67YW6F4+dVPL4ATK52TZ9NMAK5u63z9nokUJ8CFeZHOdT3d\nLq3PmX3KJn2SokVA/4VVr1Xk46xU/0/p27ihOIj8Re7S5lFW0R1NVW/YZo+qt0GpklQ/NHpYPNbT\nl9KQtOKajbdLhdeYKk+nfrLDSXL1DCQRNBTy9VJskjJPrvaJDvq2Qy9B5+mQ83m3hMXWvCclQN/H\nqU0El2cd4Q6lRJ4+3ffuuyfeH0YRsEheBOkhRe5Mg0JwbmcWdL21oN5WST8bWznqriH4vj6WCNr5\nwx2KtSrvbcssbcKRX6ztqnCg4UgR8cCIeE9EfCoiPhERL8rtN0fEOyPi0/nzPrl9EhGvjYj3RcS3\nH+TcxuCZIg7/gddVu9Xuqr3gD4wcAnqQXHpR+qUkU4d+exuUOljqH3nOUklXKQTrav/E2gDumRZp\nEcrnxkanmquCu3Dj6aKay3vtKZSzWSeVajniSxtlfBHm5VkhXeinWQquvut4KytlJUxX9WU73VpZ\n085X18jJjura+PWWyr9J58hbzZ9yHA2RozQIlXPTGupTinPJbZdQJEd/+bpGI8dQ/ftbNtsmcKzD\nkQ46jnMGvCSl9Ai6NYyfHxGPBH4OeFdK6aHAu/J3gCcAHwB+CHjJAc9tIfTj9h+4i+ciRxGf9nG7\nlbY7QU5tmxwLGxTVW+2Cr5QoO5oyiuRR1zaXZjW2HB2XrE24OLf+czh/rm8/FOHN5yUkaKi6kILQ\nU5b8RJ7QDxO6tFG88l4vc2WlI8yTq9mmOuvsqW7PdCfUZNJJmieNyFdWYH01p1VW5+rX06X0Wv2W\nk0cvN1+2RDhJsXl7+JFKu3n5OB3Pfw+KDdb3+uU7BLe3w/Ko6QmYb+7ub9lwoKp6SulLwJfy//dE\nxKeAW+hWmPuB3O01wB8AP0t/gcDdl2M+IOihGPphq+0sJT5TBn952ef0pcspfVXeVWlfo8jVSmWz\neEk6T8vcpK+W69jQryepZRugRAKczn29yIfCilwSENGdO9d5wF393jRy9VUpRaxS2RUkr0rsckRB\n5YzKn5enMDUvu5O5p3Lquz4357A664isXlVU10lSnYhSEp62S8WWWUMkOcn3Q/ZIf2HqOK4x+D2p\nVXG3d/sLesr23xO2bVlIE9iSOI8jrpmNMyJuBb6DTqL8pkyqpJS+FBH3y93eAbweeCbwk9dqbo5F\nKtLKwKdLD/qh1yFM8rR7JRx54KW+e1607HIbdOqiOw5EoHVRQfcuy+HgHn7PPJJDShJpmmeSzcHi\nWobXqycpR7xXKHieSRG28tu3bKJGwpumzitlczorxUa8EPF8DhvnColrmRCp6U62vjxyL1WTvpnC\n76EccVCkQ4UcrVg7FGleGsGcfiaRSNAJcqX6LtLUPVynT55UY8F2whSWijTJXvUxMXrJcU2IMy/8\n/lbgxSmls2Nre6SUZsDTBvYPrkGKroLga/KsayfuBXoIVHPRw2bmbF+DXWsRCS4VzShhNYor1LYV\nip1TYVJ6qP24tW1GHuATdDnutVPIw5Mmk5LmKCJ06U/EqiUqJislaB0KsboJ4NK8Ir1534Z65mxH\n5p6R5Pnvp9a6caXSn1yBC7NSeb9Wc+vomNosIuh536SkQbpG6bGXk6ptyIm4wnBtA6yv5lpLmYeJ\niDhvX0/vZQldaBLnFSMiTtKR5htSSm/Lzf8vIr45S5vfDNy1aIx8s+5lY15TX52HhNRSp8d4Olxl\n9gdL9jOp2gp6l6dXqNchgiLxSEWHfvC1pKta9fM5OJFix+4dZ16Czj2kyPPGBV8aQ1BoktR0FRfx\nHHc3DyiQHso2ZftsecTnJU9+Pu8qvs9msDIrY8s0oNCs+r64o2ZCP2zIUyzdPnmRon67PduxWu3j\nNuz6RaVxxjBGlIdFoCmle+3ca2RfGnFeEbKk+JvAp1JKr7JNbweeBbwif/7OQc5jPyCp0+1PDier\nIWeAtk2sXQ+RVG+peXqg59bm6rmvouhLPcztuz49o0WEISlXpdZOrJSixCI3KOqxx2t6EPrWuc/6\nkun5c/1+CpyfTNhaSZI8j5XJ9pJ203mRvlaAc3O40cOW5uPHTubw0vpOekHpmsmRpuvhz7YISrZM\nRTwomsFJcmqfuv4az51G/rk2cEyR8TrD6wcJN7N86vox5c0Dlzi/B/hx4GMR8eHc9k/pCPO3IuI5\nwOeBHzngeVw1TtORp7I56jJg0A+Ev3fV5kQK/YfHSVGSppOk2pwkFYcowl21/nJyiJgVx+kV5UWe\n6+udF3xaPa2zOcxy2xr94hlKpZSd0VX2reIbF8oSGlsPz7yYLSBHBmSW0X6XKC+Gc3SmiRPA+Vm3\nWJ1qacpZtLUeUj62yNJNE+5YU3SB6581VGJuI/e9h/68a7PHvGqf2Th1TGb9cq0jN4agW7NspAmN\nOK8IKaU/ZNw7/riDPPaVQj/Obx3YdjPF0Lrowkkq9ZRL9VfMYP3gufQIfWfOKfoS5CwfY06xwWn9\nIujHHl60/3XcU1VcpBPPZNKFKakK/YQu5lNS8A3zUiHJF47zXPONvIbPdNa/+cracfugcIl+qqKk\nZi8EfHE+sOOsXxzaiciJzEOU5vmaKsPI1W85fzboS4KaV+1oUs55JQgDO5tzajvoEA7bxnk1qNdn\nOk64Zl714wJJDkqvhO0/Dpcktirx0Ld9eTqm7+8eXdlJRapQyFTSkHvjRUhSL2svsfpuzkrQeF0H\n8+K8xISJOPxHMpuzVfNTweiqos6srErpKrPmKfLWuUzz/xdzx5M2R4VR+XVzgnOpWmSnpIDz1kfk\ne4ny0tH/sjUrHnZm2yXh+zLOfp9ElHO233+/3ytsly7Vfydv5zKTJgxXvz8uaMQ5gtobK7jXs34o\nBLWt93fdemjcaVQ/HC4dTas2ZQV5QQnYXnDEQ5Vm1tfVVq1I6euRT7P98Z7cf2t1TfrB9OuZPFXr\nErp8cUmEvnKnpEGft3un3auvYif6Xi+U5tWORG61NOmZQpds/Bq6tnpBKCtLzjOhdtCp0Ic739we\n6wkQus91qFHdVqP2rC8zGnFeZ/gycH/KQ+Rl5qD7YZ+lPDBSx/RADKVdSm2XiidC8CIPvpywxvM0\nUKm7m3TEXEtvQ2XrBK9Sfhk4NStSk+yP521sqbW+UuMs77uRJVNMAhWRXaQE39cl3hwyZVyy+Z+k\nELdL20oC0LWUZKnzlASocC6FZSkja8X+l1lAXvI5hQyHwojctCBbp7KGdP+FibXV47j07OsJOVEv\nqr25jGjEeZ2jlkC9ViZsD+uRHdL3l+omFbzex1U/f1BFkIrbhH7mifaVhLNGRw4e7iSJbW7j6BiS\nyO6x8TWeiMulYxWuUD95ymcUMvMSeFDy6iXBudSuMnmwvVAzFAlW+0q1PpmP6QWGdf6ykcJ2I7uI\nVdA1EeFJ6vQICDevQLk2/kKZUyIoXKLFxlnkDBrTcmA5HUNNVb9O4ZKe4FKJk2f9UIgg1+gTpep5\nasxaGnXpRseQdCInRa3yiuREsC5dKYtJKqnCYVRz0mtL3kjfIaKxFeaEjScpUCR80dpEMjO6aIRa\n1VedyzqDRmq61FzNWRKyRxrI7ODnVBfgELTfRcr9Uc4/lJecm1Jc3RZhemxuHR9bS5j+4vE2kaoH\nu4+p5cdBZW/EeR1ibDmNmjyFFfsT/IfvqrlI1W1hah9yIknCvMHGc++8JDWRFJSFx7zC/GW6TAI5\nUhxymGhcL5kmqdALW4jAz1hfl1Jr55SkXDlgNLfTuc8sn5/soXP6xO8Sp6CIAZkDdF66JiJpXQ/N\nWSFfis+stQXdZ90bjaEXid9nl1Zrj76PqUpK2H76PF21OZZR2oTmVb/u4SqUq5j6c5XZPemTan9J\nNB4E7eq6p+xBn5RdrZYkKbug+upB9xztoHsopbprjtCXEDXfFYokJoeTZyupErqkMqWSbtqfSNxf\nDHLeOClLulRID/nYbgbQtfVwI81dRClJUMcQ3NOuwHc3h5yjSMV+jT18yJ09/kJbsbF8X92X2oF4\nNn8fSqlcZNNcVtIUmsR5nUJSZ622KxDepU89XPXDJCKtL3at2tWB9EOmAm/zQhay9WnfoZxUkSCU\noHuv0CPn1Mn8vyQ0l2LvRUcCkubO2FhbRUNym2yjChdy55LIUUvwisQ1Fw8VOkHJFV+jb9OUEwgK\nuW6laVIkWd0XOZX8gR6KblihH7OrcXXPF8G3q1anUOejD93b44Jm47zOMUaetbRQO3vcPlYTVK3O\nK6B9teqn/9VHkISobTdRiMkzhKDYJKFImL7kraRE/5zSqc2ypcr5IVXc40RltxRZSaLUuSkecmrb\nPGxIxOumDB1D8xchy7HjJgtfWE1mALclzvM1UerkmIfcbZouhUvqrB13bpeWdK6+LrHuFNY2huNA\npI04r3O4vXNMdd8talL0z2nVT2Sqh9bVZPfw+oJsTpoe8+lOGNmfFG8piVik4TGfqufpc1IYka/5\nHtbuZgPNQzZSjefqu6Q6Ebpsmm4TPUFRo2VzFWl5KqknD6hkXG3THcrgqiX++ruuUy1xOknXbcJe\nSfI4kGaTOBuAYm+6P8OqXX0xRUZjIShuG/VYTuinbcos4J5xjS8Puedhi2SgkIdXUJI32tVzn7Ok\nULcZinQ8bhI6yU8VhETSUrmlznsgutT0OtzJ88PrSkWSSvXC0HzcIeXxmboed1PMBrWjSOTs8ZSS\nOJ30XDKsPeh+Hfz+1i/BMefPmNR5HEhTaMTZsIVa/ZK0cdOCfdzj6jGdavPwnBXrQx7XVUSpnu6c\nCNsGhfhupCzkpuNAZ3uTpCpi8RCcOcVRc+/8XbZUrJ8kTQW7+/rwGluOKhGb5udq/9TaPZNIdk2X\nsuuq+LW90kvy6ZrqenhIkcPvhYeM+ctvSDodCmQfivldhNrueVzQvOoNPewUpgTbJZCxh6IuAOHf\npe56IPYF+llKDpGO7HnQSYO+PIRUzRlFEnXJV2FEkvzcO++mgnrJYv//so0jm59slCJrScCXbH95\n1+UIqlNPNXfPrnISdLvrBkXyVZ9EKd2GnQ/0Q8HqKIeJ7TN0f2tiXB9pH5Muh35PsPwedWgSZ0OF\n+sdeh6AIix6wOk0T+qq4k6P6rNu+IjzZ9Tz8yZcVlhdc9lLZ/URgp+w4UmeVaSTyckeJJEyFHSlH\nXGaAehlj7LtU7GTbRYIn81ydFOU086iEOr/dQ4F0HV06pOrjef3u8KmlPpeuh9TzMcfPkM2Tke9j\npHkc0GycDYMY+9HXhHdhpE8dyqT+Utvr4HhPqXQPPBSi9Mrn6uMSq9IqJdG5x9wJyZfN1Xy0wuNJ\ntpOiyoRrf9keRaoeX+kOpVO2rSYiJ2yfG7aPS5MeFaD99anzdGnes7Q8JMnvjVeIGgsX2w3GSPS4\nkqZwXIlzyNzTsA8Ysu2MPWj122ul+hMB1gH39Y9SYUT1MZ3E1E8E66qw1Gmp1zrGnM4mmmxfKATo\nVeYVVypnlTzmXqzZnVEef1oXVNHYXlLPnV4ncl8nYoUWeSjSzPronF2CHXsIhswtrqrX0uZupZDj\nZstchPku/5YNTeK8SsgONRTnObPv7mGtt7tdrQ4z0v6S/mQ3rPO7oaQmuprqUpc7NmrPtmfoeDiS\nB9LLaSKVWyq5Fwbx2qDax8OA3A4JnQPKc+9Xc5vI1lM9NT9Jw5v2v46vcnJ6Iehc/LqdszmsWT9X\nx7VdS1kMxdeq/xrbVfjdeMsXOYSOg32zOYcadsTYCpnQl4BOszgDRW2+vISncOpB88rj2s9jDEW2\nIhNXz30cTyOEPgnOqz4iZhXuEJn5XCUVyvstO+rE9nfC9UrsvnKnvxh8CQrZZwVJwB7upLmIEHVP\nJtV37H9XyV2yX636r1SfpxkPN9M8xpyJYzgOpAnNxtmwS+gHr5i9oQdU9RadSOtan1TfaweSS1Cu\ndk7YToSSEOuiE+7xVniT5uTZNDofV3GhX1HJCdlDn/S/O478+LKdqgxesnF0DI/d9PlL4lXIkgf6\nK83RbZH1y0oSqa9g6RhazbKOgNA98b5K09S1cxLcjZf9uKERZ8OuMRSX52r8l/P/WsNolUJO0C+C\nXEuVIsI6hdNDc2qTAQyr7EMmgxlFJXfimdBfr1373ZPHcVKU9Cfy9dAm2VA3q32GVGBf0sIzfRSS\n5KYEnZ8yk2STXLfrUavcXjl/lZ0fck9Q8DZh6L6PaSFjOC7SJjSJs2GPGCIuf6Dunz+HCFRQ1SGX\nMvVZq6C15OLqurZP6KulXrTXvfciEK+2VJsJRHIiwjMUyVHHk0R32fYR4fm68HIiqZ8I2x1YYZ9e\ny1PzV+UhHdNfBD5nnzv0f/z+MqrDj+rwstqmqXPWZ50dtBscJ8J0NOJs2HcMpW6K0KA8tCKz2gOp\n7XW401CWksPVYY3jEp1XG9J4NQHIdloXOamD1iV1KGje1zf3UCLtP6v6Qcn6EVEKspnqHCUpOzz2\n0gmxxm7bdNyxca4H9XsvaMTZsCt4JSXPUYZhL+puJBJJUZ76p+9Tyjruvm1OIRLPvBFZadsaRboV\nVG3IUxdlP6xVZy8A4uN7dpCPA/01ibyyu+bl51eTpaRnN1XoXGspcMP2Wbc2ffe+da3SIUmT6vuY\n91xYdG+HbKDHDc2r3rAnuBf1HNvJE3YXruLB8Z455CmD0JGmiNDVTV92Q/sPSY76FOnkdvp9AAAP\naElEQVSpRJsTovYXcdWxj06YKtqhHHNf091jSSVJSiV3k4HU4Tqjxx05dSSBv1zG7Mv6/wx9j/lQ\naFgNH7Ne2nesxubYOMeZMIVm42y4Ksh+OeRl3w2BiqykkrpE5g/8pGqb0iejoWBjDwQX6jJ06ler\n995HpOjxmFNK3UwdVw+Tmxfc0z0UjO6OH49FddKUJClCGyIvtyPX90O2yzEVXBiTMr9Mv+zgGK4H\nwnQ04mzYEzwwHvohMYsq53ho0pDa6HY897LX6YD1dncuufPHH3KXMl1a8HAmSXyewy7SrGNL53TB\n7B7AX4/nJK922XnrECqq7yJPOYecGOv0zWn1OZZjrs+aPMccPntJnbzeSBMacTZcIRYVAxnzujs8\n+Fzf6/Ah6Ht7630dG/SLiwyp6kP1MCX1ethT7b130pTZoCagmvjUV0TnziVJ0ENpprW5wuchDIUh\n1dvqGNpFDp8h9X+3uB5Js6nqDQcCf6DHHsRa+vH4xKG++vQbW6u/tbPITQkuDa5Sgst93DqG1I+v\nB8XPR221mu1Sbx1NAH0zgwfsO0SgQ3ZMd8Dcn2EMXctF0ubQ94ZxNOJsuGLUartj7CGsPfJqc2K4\nd7XdHUmO2sGitqGya77+jtf+FDzPW5Xph8Kd3JGkuekcqObjGU+CZ0BJjXfTgr9QhiT4MbIbMpPU\nRFln/1wNrkdJU2he9YZ9gT9Eu7GJiSjr4Hhtc/VdqG2dHuvpZDREeE4ULl36j9/DnIak5THbpY9Z\nz9nNF7Vjy8OuBK1Pfprt3m3Br9ei7J1FWV57vV/C9UyWNZrE2bCvWPRwuUNJueyu1osw6hRCqjZh\ng35OvBwwde66pDttq2NGhbrohacuaozaBimirb3xDkmo7oSqs4HUbwp8hp1TGsekxiGV3lHfn6H7\ndfNIe0OHZuNsOHTUcYJDi39hbW67U9EOJzGRU60S63//VB/FhTq5igAlFdfFMTx1UQ4sJ2aRaR2P\nKbL2vP2hwhs72S81b8ci6XMvMZaNNHdGI86GQ4EH0NeSJ/TV5ZoQatW4VunrcmuuUmPbtH9NRLXU\nKHJ2D/+Ql79Wu3VMz+qB4cr5DqWsLgoxGgv9GopiuF4C068VmsTZcCTh4Uir1ae2O+rsnKFA+qE+\ngjtz6vFdSpQNcuj4Lm06tI9jLHpgjAAXRSksip1V/0aa+4/mHGq4ZqhjPz1cyInCpcghD7OTovet\n0yfdgaMx6kB22RnrsVzN9u0ztkuMTpq12j0kMavU3tC8dyJC7T+E/YjLbNgZTeJsuOYYCpyH7WmC\ngqvBYyQg4vGybO5trz3dQ9KC8s89Y6eWPBdJe19jO9ENzVde/6FMqN2Q3FhCQVPRry0acTYcOjwu\nsg4Yd5W9tj3W2Uf1/3Vg+1gG0pCNEut71tpqgh+ShAVJvUMhUkNzXLV9HGNk6fPxawjDDqeG/UGT\nOBsOBUNr1Sj0x4mmluCGnDaL+rjnG/oB4FojSd9dClTI0FjlJe0zhCGVu56XO6xElP7icDIck7SH\nguJrsmzS5sGhEWfDoWAReQ5VXYLx0mpDKvJQuzAUfD8UMH5uoG0RdooOqDFUsWiROWAInjDgaKR5\nsGjE2XBoGCPPdYYDyRcFmXsfFewY6ycJb0ianFT/Lxqn3m+o+tAFigd9JwlabYvCkGo0lfzao6Vc\nNhw6JBnd19q0MNkawx7kWgocctzAYqnT+2jM2oNf/7+bcRyqs7lh3wUVaV7kUBo7to8zRL5fHZ9m\nwz6g2Tgbjgz0sNcEKtQrZIqQxpa7FbyC+5ptr/c7m+fwgIHx6nXWd2rfCVdKbIuky0aW1xaNOBuO\nFGoCEJE6aUj1ndBfcoOBvhvATWwnNzmitO9XrX+NdeDzA3PyuewGO70ctP1b2Tm7qN6n4dqiEWfD\nkcZXgftVbTW5aW30MYlskbo9Ae7axfHuZ/1EVnW/ep967J32ET4/0ObHbzhcNFW9YSlwFzsTziI1\n1tX0q4GTl+YzdNwxglt0DjuRYiPNo4XjSpy7cYQ2LBGuljgmA38ivZrQdjrWbqTGvaCR4nJBXvXd\n/C0bDpQ4I+LVEXFXRHzc2m6PiDsi4sMR8cGI+M7cPomI10bE+yLi2w9yXscdd3HlJHOh+r+2Id6P\nnQlxHbiVxXbNofntZuyG5cJ8l3/LhoOWOP8z8MSq7ReBl6WUbgf+Zf4O8ATgA8APAS854HldF7hS\nAv0cOztdnOTWqz/HUNuQPXMnwmzS5vJBNs7jSJwHauNMKb03Im6tmynL5XwD8MX8/wnKdQwa9g1X\nQjp3MV4guIaC8RdBcaYX9jCu8OU99m84OthPUoyIJwK/SscV/zGl9Ipq+yngtcBjgL8EnppS+tw+\nTmELh+EcejHwjoj4ZTqJ97tz+zuA1wPPBH7yEObVUEGEtRui88yfRX2udA4Ny4f99KpHxAng14C/\nDdwJ/HFEvD2l9Enr9hzg6ymlh0TE04BXAk/dpyn0cBjE+Tzgp1NKb42IHwV+E3h8SmkGPG1oh4gI\nqjq3j370ow98og0Ff2UPfWsCvRLChE5k+JYr3Lfh6nDLLbcAEBHnrfl0SikN7zGMfXT8fCfwmZTS\n/8nzehPwJMCJ80nAv8r/vwX4dxERe53zbhAHMGb/AJ2q/rsppb+av98N3JRSSpkQ704p1Svd7jTm\nwU66oaEBgJTSFZvNIuL36OcxLEIdYvwbKaXfsLGeAjwxpfTc/P3Hgb+RUnqB9fl47nNn/v7Z3Gff\n8x8OQ+L8IvD9wB8Afwv49F4HuJqbediIiPMppXsd9jz2C+18jjYO83xSSrVj+Gow9MzXAtRu+uwL\nDpQ4I+KNwA8A942IO4GfB34C+NWIUF3aZs9saGjYCXcCD7TvD6A4lus+d2Z++QYOqHLgQXvVnz6y\n6TEHedyGhqvA0mozxxx/DDw0Ih4MfIHOH/JjVZ+3A88C3g88BXj3Qdg3oaVcHgbG1hBbShwntTbj\nuJ3Psfi9pZRmEfECuuibE8CrU0qfiIiXAx9MKb2dztH8uoj4DJ2kOehs3g8cuHOooaGh4bih5aof\nACLipyPiExHx8Yh4Y0SsRYdfiIg/j4hPRcQLc98jn2o6dD627d9GxDn7fjoi3h4R746IIxlNNHJ/\n3hARf5bbXh0RJ3Pfpbw/EfHgiPhARHw6It4cEau575G/P8uARpz7jIi4BXgh8NgcgnWCTmV4Np3h\n+uEppUcAb8q7HOlU0wXnQ0Q8lq6Mp+MZwH8AXpT3O1JYcD5vAB4O3AbcADw377Ks9+eVwK+klB4K\nfJ0uOByO+P1ZFjTiPBisADdkz946nffvecDLU0pzgJSSMiGXIdV02/nkTI5fAv5J1Xcpzyel9N9T\nBvC/KEXul/F8vkQX6veWvP01wJPz/8twPkcfKaX2t89/dG/zc8BXgDfktr8E/hnwQeB/AA/N7St0\n0uf7gdsOe+57OJ8X0WWAAZyzvjfl83sP8IDDnvtuz8e2nQT+FPjeZb0/dEHnn7HtDwQ+viz3Zxn+\nmld9nxER96FL/XowcAb47Yh4BnAK2EgpPTYi/gHwarqHczTV9Chg5HyeCfwIXYxuDymlM8DfvZZz\n3AvG7k9K6fW5y68D700p/U/ovLks2f1h+PonOPr3Z1nQVPX9x+OB/5tS+kpK6TLwNrpCJncCb819\n/gvwqEOa314xdD4vAx4CfCYiPges5xCQZcDY/SEifh74RuAfH+L89oqx87kpq+4wHCzecBVoxLn/\n+DzwXRGxnnPxHwd8CvivdHYn6FJO//yQ5rdXDJ3Pq1JK908p3ZpSuhW4kFJ6yKHOcvcYvD8R8Vzg\n7wBPT9kOvSQYOp9P0qniT8l9ngX8ziHN71iixXEeACLiZXTlrGbAh+g8tDfQ2Z++lc4e9VMppY8c\n2iT3gKHzSSldsu3nUkpLE2g9cn/OA38B3JO7vS2l9PLDmeHeMHI+t9DZZm/Obc/we9ZwdWjE2dDQ\n0LBHNFW9oaGhYY9oxNnQ0NCwRzTibGhoaNgjGnE2NDQ07BGNOBsaGhr2iEacDQ0NDXtEI85jhIjY\njIgP5/Ji/y0ibsrt3xIRb9nF/udG2p8cEY/cYd+P5KVSDg27Pc+GhqtFI87jhYsppdtTV17sa8Dz\nAVJKX0wpPWXxrgvxZGCUOCPiEXS/pe+LiEOroL4P59nQsCs04jy+eD9d9ggRcWteOpWcmvdbEfHR\nXOD2A7muJnn7L2Tp8Y6I+KaI+G7g7wO/lKXZbxs41o8BrwN+P/fVWC+MiE/mY70pt52OiP8UER/L\n7T+c258QEe+PiD+NiN+OiNO5/XMR8bLc/rGIeHhu//48nw9HxIci4sbqPNfsOB+KiB/M7c+OiLdF\nxO/lIr+/uM/XveE6QCPOY4hcK/NxdItX1fhHwNdTSo8C/jX9hfPuBdyRUvprwHuBn0gpvS+P8zNZ\nmv3swJhPBd4MvBHwBfp+DviOfKyfym3/Arg7pXRbbn93RNwX+OfA41NKj6YrveeFNr6a2/898NLc\n9lLg+Sml24HvBS5Wc5K0fVue02uiVK6/Pc/5NuCpEfFAGhr2gEacxws3RMSH6Wp/3gy8c6DP3yRX\nn08pfRz4qG2bAr+b//8T4NadDhgRfx34SkrpL4B3AY/Opc7IY78hl9Wb5bbHA7+m/VNKXwe+i84U\n8Ed5/s8CHmSHedvAnP4IeFV0S5DclMu/1ef5unyM/02Xh/6wvO1dKaW7U0obdAUxHkRDwx7QiPN4\n4WKWwB4ErJKlrgqLqn5fTqV4wSa7WwX16cDDc3m5zwL3Bn44b/t7dCT5GOBPcpmzINeGrOb0zizR\n3p5SemRK6Tm2XcUptuaUUnoFpXjKHVLhd3meXuxit+fZ0LCFRpzHECmlu+nWk3lp5EXHDH8I/ChA\n9pTftosh7wFurBsjYkJX0PhRVmLuScDT87YHppTeQ7e8xk10S9X+PvACG+M+wB3A90TEQ3LbekQ8\njAWIiG9LKX0spfRKOtW+Js73Av8w930YXVWqP9vFuTY07IhGnMcUKaUPAR9he/XyXwe+MSI+Cvws\nnTp99w7DvQn4mexkcefQ9wFfSCl9wdreS6d23wK8PiI+RlfW7Fdy9fF/A9wnh0x9BPjBlNJX6Baz\ne2Oe1x1sJ8IaL7YxLtItB1Gf54l8/DcDz25l1Rr2C62s3HWG7Dg6mVLayCT4LuBhKaXpIU+toWFp\n0Gw71x/WgfdkFT6A5zXSbGjYG5rE2dDQ0LBHNBtnQ0NDwx7RiLOhoaFhj2jE2dDQ0LBHNOJsaGho\n2CMacTY0NDTsEf8fMZXQMyQD8YwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "background_image = result['background']\n", "norm = simple_norm(background_image.data, stretch='sqrt', min_cut=0, max_cut=0.5)\n", "background_image.plot(norm=norm, add_cbar=True)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " None)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result['exclusion'].plot()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " )" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iUqGIewIj5a/h6nwbk+rkJZfnW97rLVj3Rjl81pbvjKm2qlK0LowHs1MlNS0P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\nPN7rabRmIc37maQspOjpsziv72MeTVDM+jP8MN3KtdmwexbFfCoUgj1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "significance_image = result['significance']\n", "significance_image.plot(add_cbar=True, vmin=-3, vmax=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Morphology fit\n", "\n", "TODO" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# from gammapy.scripts import image_fit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "- Compute the counts, excess, background and significance at the Crab nebula position.\n", "- Make an energy distribution of the events at the Crab nebula position." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What next?\n", "\n", "TODO: summarise\n", "\n", "TODO: give links what to do next." ] } ], "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": "3.5.3" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 1 }