{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Instrument Response Functions, `DiscreteLogLikelihood` and `IRF_LogLikelihood`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The instrument response functions of a ground-based gamma ray telescope play a pivotal role in how we interpret the performance of the telescope. In particular, the energy dispersion and point spread function contain how well the telescope is able to reconstruct the energy and sky position of a given gamma ray. Formally,\n", "\n", "$$\n", " \\frac{d^2N(E, \\Omega)}{dE d\\Omega} = \\int_{E_t} dE_t \\iint_{\\Omega_t} d\\Omega_t R(E, \\Omega|E_t, \\Omega_t) \\cdot \\Phi(E_t, \\Omega_t) \\nonumber\n", "$$\n", "\n", "where $R$ represents the instrument response functions,\n", "\n", "$$\n", "R(E, \\Omega|E_t, \\Omega_t) = \\rm{exposure}(E_t, \\Omega_t) \\cdot \\rm{PSF}(\\Omega|E_t, \\Omega_t)\\cdot \\rm{E}_{\\rm{disp}}(E|E_t, \\Omega_t) \\nonumber\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Where \n", "- $E_t$ and $\\Omega_t$ represent the 'true' values of a given gamma ray event (what one would see with infinite precision),\n", "- $E$ and $\\Omega$ are the reconstructed or measured values which are representations for what a telescope actually measures/reconstructs,\n", "- $\\Phi$ is the astrophysical flux (units $\\text{TeV}^{-1} \\, \\text{cm}^{-2} \\, \\text{s}^{-1}\\, \\text{deg}^{-2}$) we previously discussed is converted to an observational flux by application of the exposure which is a product of the observation time and effective area (units $\\text{TeV}^{-1} \\,\\text{deg}^{-2}$),\n", "- $d^2N(E, \\Omega)/dEd\\Omega$ is the observational flux of events by the given instrument i.e. the flux of measured event values,\n", "- $\\rm{PSF}$ is the _point spread function_ for the telescope and,\n", "- $\\rm{E}_{\\rm{disp}}$ is the _energy dispersion_ for the telescope.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we move any further it would be useful to have some functions on hand to discuss specifics, so we will no discuss how to instantiate the `IRF_Loglikelihood` class." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `IRF_LogLikelihood`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll jump straight into an example and leave the API at the end of the tutorial. \n", "\n", "Unlike the exposure tutorial we now have two sets of parameters for the energy and sky positions of gamma ray events; the true values (subscript t) and the measured values (no subscript). We are binning both sets so we need to instantiate binning geometries for each set.\n", "\n", "We'll say that we're interested in energy values from 0.1 TeV to 100 TeV with 20 bins per decade for the true energy values and 10 bins per decade for the measured.\n", "We'll choose our angular values to be between -3 and 3 degrees with an angular resolition of 0.02 degrees for the true values and 0.3 degrees for the measured.\n", "\n", "You'll notice that we set the resolution of the true values higher than the measured, this is because the true values are independent of the telescope and theoretically should have infinite precision, while the measured values are artificially binned in part due to the finite resolution of the telescope. This difference in resolutions is to reflect that the true values should never ever have a lower resolution than the measured values. This is not enforced in `GammaBayes` but please don't do it as some functionality may break." ] }, { "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": [ "import numpy as np\n", "from astropy import units as u\n", "from gammabayes import GammaBinning\n", "\n", "\n", "true_binning_geometry = GammaBinning(energy_axis=np.logspace(-1,2, 151)*u.TeV, \n", " lon_axis=np.linspace(-3, 3, 151)*u.deg, \n", " lat_axis=np.linspace(-3, 3, 151)*u.deg)\n", "meas_binning_geometry = GammaBinning(energy_axis=np.logspace(-1,2, 121)*u.TeV, \n", " lon_axis=np.linspace(-3, 3, 81)*u.deg, \n", " lat_axis=np.linspace(-3, 3, 81)*u.deg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For simplicitly we will focus on a single observationat the Galactic Centre for 5 observation hours." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from gammabayes.likelihoods.irfs import IRF_LogLikelihood\n", "pointing_dir = np.array([0,0])*u.deg\n", "observation_time = 525*u.hr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then pass this into `IRF_LogLikelihood` and it will handle the rest. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "irf_loglike = IRF_LogLikelihood(axes=meas_binning_geometry.axes, \n", " dependent_axes=meas_binning_geometry.axes, \n", " pointing_dir=pointing_dir, \n", " observation_time=observation_time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see an overview of the IRFs contained." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "\n", "irf_loglike.peek(figsize=(12,6))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Point Spread Function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From a probability perspective the point spread function is the probability density function of measuring a given sky position $\\Omega$ given the set of true values $E_t$ and $\\Omega_t$.\n", "\n", "Formally if one integrates over solid angle then, \n", "\n", "$$\n", " 1 = \\iint_{\\Omega} PSF(\\Omega|E_t, \\Omega_t) .\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a representation of this function." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(8,3))\n", "\n", "irf_loglike._plot_psf_pdf(ax=axs[0])\n", "irf_loglike._plot_psf_lines(ax=axs[1], plot_kwargs={'colormap':'Blues', 'norm':'log'})\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows a slice of probability density function when galactic latitude equals 0 deg for various true energy values and true sky position of (0,0). \n", "\n", "You can see that the probability density is maximal at (0,0) meaning that the telescope has the highest probability of reconstructing the same value.\n", "\n", "If this were not the case it would not make sense, say if it was maximal at (1,1) that means when a gamma ray comes from (0,0) the telescope is most likely going to say that it came (1,1), this is no bueno.\n", "\n", "Another behaviour is that as the energy decreases the point spread function broadens, meaning that it can't as precisely say what the sky position of an incoming gamma ray was. The reason for this by the way is that lower energy gamma rays produce a wider shower making it harder to reconstruct the originating sky position.\n", "\n", "You can access the log of the point spread function through the `log_psf` method on the `IRF_Likelihood` class and the relevant unit through the `psf_units` attribute." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([4.63845646]), Unit(\"1 / deg2\"))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irf_loglike.log_psf(recon_lon=0*u.deg, recon_lat=0*u.deg, \n", " true_energy=1*u.TeV, true_lon=0*u.deg, true_lat=0*u.deg), irf_loglike.psf_units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__A big thing to note__ is that this value is not the log of normalised PSF value, i.e. it doesn't directly correspond to a probability density. However, the shape of this function is correct, so we can integrate these values of longitude and latitude to normalise. This is done in `GammaBayes` to keep individual computation times down with the log of the normalisation cached in an array which can then be applied for a given set of true values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Energy Dispersion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second IRF is called the _Energy Dispersion_ and similar to how the point spread function quantifies how well a telescope can reconstruct the sky position of a given gamma ray, the energy dispersion quantifies how well it can reconstruct the energy values.\n", "\n", "Formally, \n", "\n", "$$ 1 = \\int_E \\text{E}_\\text{disp}(E|E_t, \\Omega_t) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having a look at some of the outputs of this function for CTAO we see," ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(8,3))\n", "\n", "irf_loglike._plot_edisp_pdf(ax=axs[0], plot_kwargs={'colormap':'Blues', 'norm':'log'})\n", "irf_loglike._plot_edisp_density(ax=axs[1], pcolormesh_kwargs={'cmap':'Blues', 'norm':'log'})\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot on the left shows the energy dispersion for various true energy values with the y-axis being the probability density, the right figure essentially the same thing but the true energy values are represented on the y-axis with the probability represented by the colour." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can see that the energy dispersion peaks around the true energy values saying that if a gamma ray of 1 TeV for example hit the atmosphere, the CTA is most likely to reconstruct an energy for it around 1 TeV.\n", "\n", "You can access the unnormalised log energy dispersion values through the `log_edisp` method and the relevant units under the `edisp_units` attribute." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-2.8620978757269575, Unit(\"1 / TeV\"))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irf_loglike.log_edisp(recon_energy=1*u.TeV, true_energy=1*u.TeV, true_lon=0*u.deg, true_lat=0*u.deg), irf_loglike.edisp_units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Effective Area" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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For2FZdmRJSAWR61JjK/Uu2+8hV8MHgELwDclpbj8p7/Q2tliMaNe7rWxqf1rl78/9Tds//Qzw3bgrF4/wn+2bI2xIzuyWAAe+cNDqIpRxTvqfMFZc/TcoiUYevKZ+HHvgbh1yo2orq6O2e67/32HKeOnYHDvIRhy8ll45R8vw4INCzYWznoCj90/K2YM6puazy2sLJaVqPuNO2qexkp0iYcaO5fu3bvj7LPPxjvvvKPYuZSUlKC4uDjSvrKyElOnTkXv3r0xcOBArF27Fi+++CIuuOACX8+FX/DODiGENBLa53fEwn/9rUH2tfyp53Bk69boeny3hMb584yHccWUXyM7q476gw589UUxHr7nfvxj7Uto064trrz4Cjy7aCl++atLo9r+9ZG/ICs7G6s2r8SOL3bggrNGo3DQ6cg7Mg+XTPglzj5lKMb++jK0zK2fYp5+EP5+SXSMeKjLzmXhwoXK+2nTpmHatGlx7iV58M4OIYSkAOXffYffXn4lRv5wCH72o3Mw8WeXRLXZ+eUOnNGtd+T9xnffx2XDRmPUj87F+WcMxWsvvgoA+OKz7fjNhePx88E/xfk/OhdP/2VRzH2uW7UWF509CqMGDMdPf3gOlj15OJF69oln8OHGzbj7httx/o+GY/UrrzvGPv/Rv+CCM0fi/AHDMXrw+dj03kYAwK3X3gQA+MWPR+OnZ4zAnm/2xH9iALzyj5dwzk+HoW37drAsCxf/6lL869kXYrZ9cdm/MObXlwEACo4pwA9/dBpefXEFgMMC3IFnDcC/lr3oKY6GIvS9QDnRhdTCOzuEEJICrH1tFcr27cc/31kJANj33/86tt+397+YculEPPLkHPT9YX+Ew2Ec2FeGUCiEqROuwX1zZ6LbD47Dd//7Dhf9+HycfFpf9Dz5JGWMHn1OwtOvLkMwGMS+vftwwaCfYOCPz8SF436JF5Y+j19d82sMGX52nbGPuvgC/GryRADApvfex01X34CX3n0Vv3/4D3hm/tP42/9bhhYtDnsK/f3pZZj/qHoXocZb56JxF+OSX4+LGn/XV7vQqeCoyPvOR3fGrq92xYxl11e7cJTS9ijs2lESed/v9FOw8pVV+OXlF9d5XCR9YLJDCCEpQPdePfD5p9tw129vwqk/Oh2DzjnLsf2m9zbg2O7Ho+8P+wMAAoEAWrVuhW2f/AfbPvkPin41OdL20IFD2PbJp1HJzr69/8XNk3+HL7ZtRzAjA//9di+2ffwp2nfsEFfsW/79EWbd/yj27f0vghlBbPvkU1RWViI7Kyuq7QWXjMYFl4xWHZSFz45p+sWyZHvneNS2auN2HdqhdFep8wBJJmQfXhIdg9TCZEfixSzQq0GgMkbsdo4VzJX9uDAO1OKxTKZ9TrE5GRa67mPY5taw0GFs20U73ZzPbRV2YwVzp6rnSjVzp3aI3c7RxE/GKuPU24kxTJXJnQwCXRoRmmKwnQwCpamgQx+1nTDx00wFTeaBptcAEAx6UEYol4k0DlTHksU65baAZUcuNXnJdel6NF54+3W8s+ZNvL1qLR647R78fe3Ldbq9yO01guUj27TGP97UiyJHi5hvv/4mnDXsx3j0yTmwLAujBo5AZXlFZMy6RMMWgKrKSlwzZhKefGkJevU9CQfLDqDvUSehurIKOd/rdKSZX+w7O4e5aPwvccnEcZgyZhK+/PxLAMCCF55Bp86dsLP4q0j7ncVfoVPnTjFjq2nbtl3r79vuwuBzz4zEW1legZycnFpRcuRYbOX/EUG5wG1h1ERJhmYn3WGyQwghKUDpzl3IbZWHs0YMxYAfD8ZrL72C0q9KjO37ntYPt/5nGza8sx6n1Exj7S9D1+OPRU6zZnj+6ecw6pKfAwC+/OwL5B2Zh1atWyljlO3bj05djoJlWXjvzXfwyQcfR7a1aNkCB7RSA7GoLK9AVVUV8jsf9ldZPOcJZfvhcQ6geYvmAAx3dkT7sA08snh27TbbwtDzhuOSYaMx+cYpaNOuLZbMfwo//blauLKG4T8bgUVzF+OBOX/Cji924J217+Ceh38f2b5t62c48aQT6jwukl5QoEwIISnAp1s+waVDR+FnZ5yDC88cjvMuugDde51obJ93ZCv8+am/4E+33oPzzhiKnw0cjvfffhcZGRmYvXQ+/m/5vzCycCh+ctrZuOWaaagoL48a47d33Ij7bvkDLjxrFP7+1LPo0//kyLaLxl+Cx+59BOf9aDhWOQiUW+S2xLU3F2H04PPxy3N/gSxt6mrCNVfgsp9ckpBAuaDr0bhmehEuPmc0zu4zEK3btcGFYy8CAHxd8jV+esaISNuJ1/4a5d+V48zeQzB21Hjc9eCdSpK3asVqDD9/mKc4GoowLIQSXMJNrWx7HVi2PqHZhCgrK0NeXh6GBC9AhpXJaay6YvNjGitoiDWozaW4mboKqvtXprGUaZ7adlHTWHJbhmynjh3OsGJus8X6qLpUcpvSX20na2Cp7cR6h2ksx3Zy7HqcxjLFoNevUvbldhorQ9bQElNSGVo7F1NXqTCNlZ/RAtPaD0K7zp0QzNZvrrssYBlj+kVfH42heKhTF5cYC4E6PBFkvrOjfY/Ee+V8K/vUPleDH86nH3+Km6+9Fc++uiQq2JoxqitC2FVcilfDS1Bm7VX6VxyswqyBf8f+/fs9uxI7UfNv0vqPOqBFy8TuRRw8EEb/nl/XW6yNDU5jAREjO0/FPxNMaA4P7SJpiNqvIWlwiMeY4Djtx4qdNDi2cyzwKbc5JGkutDR2VCJl0Ok46XwMWpropCj2NlOxz+h2iPnabbuoIqPG5EIb20WC45jsGONR+5gSHL2dkuCIQ1ISHIdjUHQ6eoFOmVzIpEjqZZwKgXpA+Uc+6hKOvS34fTy1hoCij3E/2ntjEuGlOGbDEFWR3ZYvxR9iUR3djO2wTbwu2VmiTGmRpgOTHUIIIU2CM3+cetW4Y1EzFZXoGKQWJjuEEEJICsFkx38oUCaEEEJIWsM7O4QQQkgKEbatKKG2lzFILUx2cPhJKytKAejxKSu3T1a56e9WENxQomS3fRzNAl3GYxIly3j002O5aOdSCK3/TtjK2KjzdfQ2+WSWQzuTwaDT2G4Fyl7idiFWBqA8CaWcb/1pLClKDsYWJetPcCmiZHk5auJiN6JkXaAsn5KyPfzjIMcLak9jmbYd3sthgz+3T1w5Co9ND4o6ju3vQ7imJ7DUp8ZUZASWYb3b/bgVeusbTEJvC4ef9gpq50l/X19wGst/mOwQQgghKUQIAYQSVJmEfIolXaBmhxBCCCFpDe/sEEIIISmE7YNmx8u0bDrDZEfiRadTn2aB8fSLNNH6u9HpuHVGdurndmy327zEreh85FjC8diheKhaXNNsEGgqLBpV4FPRp8DczoOuJmzS0uhaI+U8mOIx91GN/1z2kWO7jEfV/JidkZVin7q2x6DTsQxOxoDqcix1H07/0EjPecXF16FoZABSv1NTcDIak05Hb+u2ndqnHh2UvZgcymtLfsRRI5iNJE19Yjkj14Wl/T+AMAJaOU39fX1BzY7/cBqLEEIakEiFnqZbqSelse3DCZbtMkkijQPe2SGEkAakzC5HVTiEcEU1AtmZyQ6HaFSXhxCyQyjHoaTFELIDCEU98hjvGD4FkyYw2SGEkAak3K7Guv99jrO+zcKRaI1AdkZkTsf19JSXaaz6LARqWm8oEAqoD96HDXWyACgTR/JuizIBqU1vhR2KhBqxDyc6e/fsxef2v1EdqHTXrx4Iw0I4wYmXMO9MKTDZIYSQBuaV7z4BABSGuiHTCtb+8+7aM8dD4uJBx+IFTZFmWG+ueu4orFVkeeaExos+yYaNkB3C5/a/scV6y6ElaYww2THhwTiwQXFbbT1RvByrU2wehN62SXjshSgjQhf71NqZfouj1psc1aIMCw37dehj3OY0dsDQzumcGAXTmlmgMraD2tQgRJbjRV0K8q90h3bKqZOiZIfK5CZTQSfzONlO9g9q5yRoxd5W8w/xK+Uf443KrcgN5MD6/kRliD7y3GXohoWIHu9wf7NgWo4RhIwtcdGtKsCudXhRNP9aQlIpVPZV4nW1Nn0jt2UHqiOvczJq77zkiPUAcETQ3V0ZeW3YAMqtg6gOVCpfiWQ4EVOg7D9MdgghJElUoBrfhA9G3stkR0li9KeCDE96yXZ6cpFh126T+8nwwX5OjUEkO4gdJwBUiH9+KiGTHdUGvFK8z0FtUnMEKiKvm1lVSp+QVQE3BBrIETle/NHspOaxJQs+jUUIIYSQtIZ3dgghhJAU4rBAObFpqET7pxtMdgghhJAUIuxDbSw+jaXCZMdnXFc3dzWYu8w8yjXZx7ET7+PREdqNa7KDG7JawdzBjdmh0rk5NhevoQuPExsvavpeboNDO4Mo2Sk24zaXgmnH43Yznu6grHx8ZjddRbws11tSPKtqXyzT2A7YthxPvLbcjS1jyIjqI7Qv0hHapTuzqY2+rwwhItZjUMdwJ142CbpNseljZ7h8CCFLCJGzDa8BINPysQym+A1rKI0PNTv+Q80OIYQQQtIa3tkhhBBCUojw95W5EhuDd3YkTHYIIYSQFCJkWwgl6O+TaP90g8lOQ5EKRoQmvOqMlHl2l8dnOg+ORoQuxwoYtilVvDWdj4s+h/vJ/cTW+TjrU8zaINMYbnU16vG5G9uLYaGtmABqfZTK5Ib12nvbUJncUYsj9hvQxrYMhnqxDP1qtyVmqBermnnsGGLrb5yM/xTNjqP2JbaBYrTOJ7ZWKDOg6lvMGqD4z1XYQXcidT5hJ08hUd0+O1irzckU8eiaHfne7VNJRo2MHduMkTQumOwQQgghKUTIh6exQpzGUmCyQwghhKQQYTvgeFfM3RhMdiR8GosQQgghaQ3v7BBCCCEpBKex/IfJDnBYPOrFmM8v/DQi9KMaupMJX7z9PbaLqjruVzwuK5NHVz03CIydjsEkHPZitOfSxM+92NjQX99mqpTuRQjtNIbYj+Ug9IWDuFcZziBK1kXEJjGu28vMSWxsEiUHrdgiZP29s9lf3f+Q6cemipflfkLGdkGXYmU55aJW2w7HbKMjRdJOTxEppoKKWFk9hkxNsGyKQREli2OS651E3/VFGIk/TUUptQqTHUIIISSF8MdnhyoVCc8GIYQQQtIa3tkhhBBCUgh/amPxXoaEyU5jwoseJ1H9jWkstyRqNuiwzVlX426/qtbErO0x6VAc9Ttu+jjs10n74tYg0Iv+Rt1mMAt06iN1MZpGxmgkCMN+YDYS1LU9AYNGxqTfAaI1PG6wDBoOfWxTsU5H4z+X7dzgVAg00/D6cD+T1kgej9qnyg7WvgmL1+KzDOv+kgY9UEbAXMRTKf5pVUVe5wSqlHY5Vm07qSFyLKHgQr/TUIRhuTZDdBqD1MLUjxBCCCFpDe/sEEIIISkEp7H8h2eDEEIISSFqfHYSXeJh1qxZ6N27N3Jzc5Gbm4vCwkL83//9n2Of1atXo1+/fsjJyUG3bt0we/bsRA67Xmm0yc6MGTNw6qmnomXLlmjfvj1GjRqFrVu3JjssQgghpNHRuXNn/PGPf8T69euxfv16nHXWWTj//PPx0UcfxWy/fft2jBgxAgMHDsTGjRtx0003YcqUKVi2bFkDR+6ORjuNtXr1alx99dU49dRTUV1djZtvvhlDhw7Fli1b0Lx582SHl/r4YWSYqGA60Urnehs3lc6dhMsORntGrZ/byuROY7kQJTvFo4iso86Jw34N603jqa814bGXiuoGI8EoU0EhPFYqm+tDy4/faOiXeNVzk0BZF9ya2jkZB5qqnntBN/5TjASFCFgXBEuDPtVgMPY5BaA62InPNRQ2/xNjFEJHmSHGrm6uvlYFyplCoBwQAamtgExTcAaxctBD5XcvhG0L4URNBePsP3LkSOX9Pffcg1mzZuHtt99Gz549o9rPnj0bXbp0wcyZMwEAJ554ItavX4/7778fo0eP9hx3fdFok52XX35Zeb9gwQK0b98e77//PgYNGpSkqAghhJDECPtQLiIRU8FQKIRnn30Whw4dQmFhYcw269atw9ChQ5V15557LubNm4eqqipkZhpTyaTQaJMdnf379wMAWrduneRICCGEkNSgrKxMeZ+dnY3s7OyYbT/44AMUFhaivLwcLVq0wPLly9GjR4+YbUtLS9GhQwdlXYcOHVBdXY09e/YgPz/fnwPwiUar2ZHYto2ioiIMGDAAvXr1MrarqKhAWVmZshBCCCGpRNgO+LIAQEFBAfLy8iLLjBkzjPvt3r07Nm3ahLfffhtXXnklxo0bhy1bthjbW5oswLbtmOtTgbS4szN58mRs3rwZa9eudWw3Y8YM3Hnnnd52YvjwLCftS30W0fQTP/ap6GLiz6EdTQA9mAUaC3w66Xyc1gdkDIj52snDy9jHYQzXpoIms0CH/TrqfKRmxuXxmcwH9WN1YyQYXQg09rZAQNekSIO/2vVBgzbkcLv4jfukNkc3EjTFY3rttRCoSY8hjeT045F6JanLydaKZpq0OUHFiFDV+ch45PSJ1N/ELs0Z3c5JQyTNA2WxTz0e2a7SNv8zJzU8AdMFLr4gVgNVEg/B0gqqehsDAHbs2IHc3NzIetNdHQDIysrCcccdBwDo378/3nvvPTz88MOYM2dOVNuOHTuitLRUWbd7925kZGSgTZs2CcVeHzT6OzvXXHMNXnjhBaxcuRKdO3d2bDt9+nTs378/suzYsaOBoiSEEELc4eednZpHyWsWp2RHx7ZtVFRUxNxWWFiIFStWKOteffVV9O/fP+X0OkAjvrNj2zauueYaLF++HKtWrULXrl3r7OM0V0kIIYQ0VW666SYMHz4cBQUFOHDgAJYsWYJVq1ZFHgaaPn06du7ciUWLFgEAJk2ahEcffRRFRUWYOHEi1q1bh3nz5uGZZ55J5mEYabTJztVXX42nn34a//jHP9CyZcvI7bS8vDw0a9YsydERQggh3ggBPkxjxcfXX3+NMWPGoKSkBHl5eejduzdefvllnHPOOQCAkpISFBcXR9p37doVL730Eq6//no89thj6NSpEx555JGUfOwcaMTJzqxZswAAgwcPVtYvWLAA48ePb/iACCGEEB+Q01CJjBEP8+bNc9y+cOHCqHVnnnkmNmzYENd+kkWjTXZqVN++4sUkz9N+EpdKWR5EwHEMHvt1omPFM7abdvqTAG7aOVQmdxI/G6ubS/G0k/jZpdGeSXgcdbW7EB477tfBQNEsZLbFa20/8r1D1XOTENlyqEyuiJINImTAbCSoiJV1QbBBBOxFeOy2XYaDYDrDYPwXLUg2fP/lqYc+dmyzQF3caxIiBxwEyrIOUygsTPwcfqdUoXbtePrY2QYhsqxsnmOpdoHZlm4fWDdKcmC4LhrKVJD4T6NNdgghhJB0hIVA/YfJDiGEEJJC2LAUGwGvY5BamPoRQgghJK3hnR1CCCEkheA0lv8w2UkHAi5Fv37ux+99uf1eOrUzVTqHXK+/NzgtuxURG9ro7dTXZpG0Jwdlp3YGIbKj87PJnVlpYxYe206Xo8FpWXVG1qtexxYv62Jjk2uybBfdp26XYx3TNsc+qFusfHhbbAdlfUojLMZQ3IvtoDEekyhZFwRLZ2LpbGwSK0f1cah0LpFjm9ydAdUNOdvwWu+TJd47FcSU5045JvHFSYYkORlVz9Mdpn6EEEIISWt4Z4cQQghJIUIIIJTgvYhE+6cbTHYIIYSQFILTWP7DZCeV8cPksKGqqEvzMD80RG4qnTuaEta+dNTpmcz1HCt8x+7j2tDPpbbHuVp7Yu3UPqq2QxnDoLGJOj8mI0G3poJSlxNV9VzqdMzmgyYjQUWLoxvtGYwITePGGqOu/jpO+1QNB6VaRPtgRTdTpfMoXY1Bp5OpVT03thOvg5qSpcqKrRVy1j5JfZK5CrvU5kjzQOV1QDURVN6LUHXRrlLVXRrVys9BOb8No+AJI+CoNXI7BqmFZ4MQQgghaQ3v7BBCCCEpRMi2EEpwGirR/ukGkx1CCCEkhaBmx384jUUIIYSQtIZ3dpoSstq6n5XN44rBIDx2qo5uWB9tzueh6rmpnSYOd2XIF1WF3UX/qDFEO1MbaGaBAXM7034c+7ioeh6llzWdYv0jChhExHK9Fk7AJGTWGroxEoyqeh6ILTg1mQDGem/CKHgWY8tq3/r7TGkqqI1VFRaCYOVKEcfqZCroUGXcJErOsmJXHweAcjsz5jYZg1OtJyl41gXTJiFyplL1vFI7htptIXGhZAohtR6TFFmHhDmjYn5oPAJ/se2AWoXd4xikFiY7hBBCSAoRgoVQgoU8E+2fbjD1I4QQQkhawzs7hBBCSAoRthMXGIfdzbY2GZjsmHDQdlgBhxtipn5OfVxiWQ10I86kXWlIbY9E0ZeYYzBpgJwLasZuF62rMYzt9JF4MBV0VRTUYVt0oVPx2o1ZIKAaARpj080CbcM2s0GgJfUyin5HL44Zu0ioUyFQk5Ggk0GgyQzPq2bHhNTl6IVApcZFtqsOq2oRaW4XkIVApQGedu6DhnMSVXjTil1gU+pgshx0PkGXxnumc+xYCNSo3zEfQ0j8bupxV9m1/wRK3ZA05EtOIdDENTuJ9k83eDYIIYQQktbwzg4hhBCSQoRhOT695nYMUguTHUIIISSFoIOy/zDZIYQQQlIIanb8h8lOKpAs4W+iuKl07mT85yA8NlY6lzh8l03f82gjQsMATiJiQztHcbByTlyO4VRl3G07Q1V316Jmuc1kZAj1UpDtoiqYG3wtlerTWp+AoUq4LsBVq57HFjLrJoKmCuRu9+MFp8rkGQZDP/1aD4eFKNkoxnYYO2A2CDSJkqUgWBf6ZoVjjxdwkPcGDaJkPR6TKNlUAR0AMhHbDLFKMxXMVKq11xojyriTUfWc+A+THUIIISSFCMOH2ljU7Cgw2SGEEEJSCNsHgbLNZEeBk3qEEEIISWt4Z4ekD4n+IeOyvxv9DjmMrZ0s204tW1c3Oh1doyPN/pymGkwCUTm2XqxTFv/MlPoiXSoi5XIyVrHPbK2gpjTNU4tbutPVKMU6LXVsRadjudNYuUUa/JlMAJ2oFH1kf33sVCJs+zCNxaexFJjsEEIIISkEn8byH54NQgghhKQ1vLNDCCGEpBCcxvIfJjuEEEJICsFyEf7DZIekP46V0t2O4U8onnFbKd3tcEIr6igb9WKgJ7t4iE3/i9TPuXYng0CTKFkKkqPGcDy+2AJaZWzNQE+KezMcTAXl0NKEUQqUMzUDxcxAbBGxjqxaroiaDWLlw+HVLX52a8ina01C4r3cT5XLf77K7VqzwEpbNRWs0t6T9IXJDiGEEJJCcBrLf5jsEEIIISkEkx3/YbJDCCGEpBBMdvyHyQ5JfZJQKNXt74RjO4OuxqnwplO7RHGt03EzgA/YLuORxoRhKZfRrgtTeCbjQMCdTsetzifqHxfxVm4zme4Bqs5GL4ipxCDaSd1JwDZofrTxFF2NZdbfKLHCHFvQUNzU+dy71PCIE6mbAtYQ0kRNIYjinw6mglIPxOQgvWGyQwghhKQQvLPjP0x2CCGEkBTCRuKPjqdWYZbkQwdlQgghhKQ1vLNDCCGEpBCcxvIfJjskPTGJmv24l8nfEPfo99JT+N66KsY1C2ulOV9I+QdFu7gM5oqqOZ9ZtOskUJZTHDI++Q9cTqBKHduK3+BPmgJmiUrnetyZyjZpROhuP5KQ9gWTImJYUpgthcfqGFVWrWhbESHrYxt+EJJdRJPJjv9wGosQQghp4syYMQOnnnoqWrZsifbt22PUqFHYunWrY59Vq1bBsqyo5ZNPPmmgqN3DOzuEEEJICpGMOzurV6/G1VdfjVNPPRXV1dW4+eabMXToUGzZsgXNmzd37Lt161bk5uZG3rdr185TzPUJkx1CCCEkhUhGsvPyyy8r7xcsWID27dvj/fffx6BBgxz7tm/fHq1atYo3xAaF01iEEEIIUdi/fz8AoHXr1nW27du3L/Lz83H22Wdj5cqV9R2aJ3hnhzQq7Pp0Uw4k6GuRinrA+hIE++ym3FBEufgaHH7l60zXVc91MW5sd15V/KxVJpcux5ZZ6GsS3cr1usBZdVB2qnpux3wt45aCZH08k8O0LmqWOHnKSBFxyCAc1o/HVM1cFySnqojXti3FOdzrGABQVlamrM/OzkZ2dnYdfW0UFRVhwIAB6NWrl7Fdfn4+5s6di379+qGiogKLFy/G2WefjVWrVtV5N6ihYbJDCCGEpBBhWAmbCtb0LygoUNbffvvtuOOOOxz7Tp48GZs3b8batWsd23Xv3h3du3ePvC8sLMSOHTtw//33u0p2XnjhhTrb6Jxzzjlo1qxZ3P2Y7BBCCCEphJ+anR07diji4bru6lxzzTV44YUXsGbNGnTu3Dnu/Z5++ul48sknXbUdNWpUXGNbloVPP/0U3bp1izsuJjuEEEJImpKbm6skOyZs28Y111yD5cuXY9WqVejataun/W3cuBH5+fmu25eWlqJ9+/au2rZs2dJTTACTHdKYcavfcaxM7m4M4x9ZDv1lH1Nlc/29bVrv1MfLH4BKJ5f6G7f7Ucz01E6J6hD8xmwkGHs9oFZErw4LbYh2aLJCu2lsWeX88PvasR2rnosxwgadjpNmx6SrATT9jcEgUNffqEaJsfvo+iRdP1WDbuhnusMh9TdViK3R8YOwUhm9YZ7p8VOz45arr74aTz/9NP7xj3+gZcuWKC0tBQDk5eVFpo2mT5+OnTt3YtGiRQCAmTNn4phjjkHPnj1RWVmJJ598EsuWLcOyZctc7XPcuHFxTUlddtllrhK3WDTqp7HWrFmDkSNHolOnTrAsC88//3yyQyKEEEISomYaK9ElHmbNmoX9+/dj8ODByM/PjyxLly6NtCkpKUFxcXHkfWVlJaZOnYrevXtj4MCBWLt2LV588UVccMEFrva5YMGCuO7WzJo1C23btnV/UIJGfWfn0KFD6NOnDy6//HKMHj062eEQQgghjRLbrvsO78KFC5X306ZNw7Rp0+opIn9p1MnO8OHDMXz48GSHQQghhPhGMqaxGprvvvsOe/fuxVFHHaWs/+ijj9CzZ0/f99eop7HipaKiAmVlZcpCCCGEpBK2D1NYqZzsPPfcc/jBD36AESNGoHfv3njnnXci28aMGVMv+2zUd3biZcaMGbjzzjuTHQZpDNSneWFjoh5Pg/wxdvphVtvZMdcDgG0QWpvMAp22KWZ6mrBWEeeaxMrQRcRBsV6KgzXRrmLcZxYoZ4rXIcO1qvdXhMMOpoJKH4MoOVr8XB1zm9vq6k6EEFsgLKujuxUOO32WfsRK3HH33Xdjw4YNaNeuHdavX49x48bh5ptvxiWXXOJqOs0LTSrZmT59OoqKiiLvy8rKogyXCCGEkGRiA0j03/xU9jivqqqKFAvt378/1qxZgwsuuADbtm2DVU9/aDapaazs7OyI54Bb7wFCCCGkIalxUE50SVXat2+PzZs3R963adMGK1aswMcff6ys95MmlewQQgghJLksXrw4ykgwKysLzzzzDFavXl0v+2zU01gHDx7Etm3bIu+3b9+OTZs2oXXr1ujSpUsSI6sfbLt2TtmymKd6wY9CokZ5QOr+IeWI7u1muv3dUHrHqNv3Pu43SrPjwkgwU9NySFNBCJ1OOEoPIjQlBgM9PZ7MgNS+VOvNY5JpWK+PbTL7i+4XW9sj44kyFXQxtslEUCekfeAmnY4s9qlrduQ2RUOkX0xSe2TYTzJI96exnMpQ/OhHP6qXfTbqZGf9+vUYMmRI5H2NHmfcuHFRfgCEEEJIYyBsW7B8qo3VmCgvL8fmzZuxe/duhMNq0nzeeeclNHajTnYGDx5cb8ptQgghJBnYtg8C5Ub2T+PLL7+MsWPHYs+ePVHbLMtCKGR+OtENnAshhBBCSFKZPHkyLrzwQpSUlCAcDitLookO0Mjv7BBCCCHpRrprdmKxe/duFBUVoUOHDvUyPpMdkj4kKD52/G0wjO3698RlBXNjOz9+t5JxW1vfZ4rdWjcZCUoRcpQRnWgXVkTN6ocUMMwjSHGvbu7nZNxnwklsrMRjOPl6f7XquYzVLNpWhN6IbUQYdClQ1jGJkqvCGTHX6+9D4mGOnECV0i6sxJf43QO/aIrJzs9//nOsWrUKxx57bL2Mz2SHEEIIIUnl0UcfxYUXXog33ngDJ510EjIz1ecMp0yZktD4THYIIYSQFKIpPo319NNP45VXXkGzZs2watUqxUnZsiwmO4QQQkg60RSfxrrllltw11134cYbb0Qg4P+zU0x2SFri9o+aev3jpz6LaCaq5/H5h1D+sLqWTvn8l6uppo5aeFMvBFq3PkU3w8sQ2g5ZhDOo/esiLQGV/YjXmQG9oGYo5msdo3Gf0MuEfXjYNqjEHfv8AECWiNVURFUvemoqRqobBEpdjdwmdTkVYfWfMkXDI4YL2prWSH4WMaMhDUVlZSUuuuiiekl0AD56TgghhKQUh+/sWAkuyT6K+Bg3bhyWLl1ab+Pzzg4hhBCSQjTFp7FCoRDuu+8+vPLKK+jdu3eUQPnBBx9MaHwmO4QQQghJKh988AH69u0LAPjwww99H5/JDiGEEJJC2EhcVtfIZrGwcuXKeh0/rmTnhRdeiHsH55xzDpo1axZ3P0L8wkulc2eDQQ993JLgGPUruJYqZLdBuPzJddvMlo+jJv5z7sZIUBcKq5XAa7eFtetMrR5uifXuBNNKlXGHY1VMAEV/XegbEhLNkMOFEjQIkdXj1qvHx66UrguZ3RDS4pbHpJgKGl4D0YLlWLEB6ucXStCU1E+a4jTWjBkz0KFDB/zqV79S1s+fPx/ffPMNbrjhhoTGjyvZGTVqVFyDW5aFTz/9FN26dYurHyGEENJkaYK3dubMmYOnn346an3Pnj1x8cUXJ5zsxP00VmlpaVSRLtNyxBFHJBQcIYQQQtKf0tJS5OfnR61v164dSkpKEh4/rmRn3LhxcU1JXXbZZcjNzY07KEIIIaTJkvBj51Y9z2n7T0FBAd58882o9W+++SY6deqU8PhxTWMtWLAgrsFnzZoVV3tCCCGkqdMUHZSvuOIKXHfddaiqqsJZZ50FAHjttdcwbdo0/Pa3v014fD6NRfwnhYR+UXgQHvu+X20/xj/AUuE0+hyD7UG8LJ2SvVbOrkF3Q3bjmqz3ka7HoXDA2E55L14qAmDLLJiVrsRRldelCFgRPAsxL1TRbkC5kV/706+LlQOI7XqsnB+oBA0O0QGDA3M8SKG1FC9XOzgofxeq9WiRcVdZ6jnRxdCx9kkahmnTpmHv3r246qqrUFlZCQDIycnBDTfcgOnTpyc8flzJTnV1NRYtWgTbtjF27Ngo0x9CCCGEJEZTfBrLsizce++9uPXWW/Hxxx+jWbNmOP7445Gdne3L+HGlrzfddBPatGmDVq1a4cYbb/QlAEIIIYQIajQ3iS6NkBYtWuDUU09Fr169fEt0gDiTnXA4jP/973+orq5GOBy7iBshhBBCSF1s3rw5rlzio48+QnV1dd0NYxDXNNaMGTOwdOlSVFdX49577/W0Q0IaI150NV7MDI3oQyU4tEFO0qCYBJT67Xe35oGm2/YBRYtjrnqtmABasc309PFM2pnD22KbBwYMJoAAkCWMBJ1MBRUtjRXb0C8KMURYtAtp2h5JUDE5rH2dpV3bmYYYTK8Bs4YnHCVqi13pvEropSo1zY58XyFiy9CqzEftK0VoKgLlvn37orS0FO3atXPVvrCwEJs2bfLk3RdXspOZmYnLLrss7p0QQgghxCVNxFTQtm3ceuutrj35aoTLXuDTWIQQQghpcAYNGoStW7e6bl9YWOi5/FRcyc7mzZvRq1cvBALupD4fffQRunfvjowM5lSEEEKIG5rK01irVq1qsH3FJVDu27cvvv32W9ftCwsLUVxcHHdQhBBCSJPGTnAhCnHdcmnI+TVCGgRPwuP4+7glpf8Y8xJb1AH59yscJcD0EJ/JPDBDGPplaqLWzECtcFgKZgO2Wfxs2qdeFVwKmaXBYJT5IGJvM4midWQF9KD2N69pPEdTQZPJoYM5oxKPECHrxypFxNJgUhUrqyLrylDtP21Z4vMKa9ej3G8qGQk2lTs7DUlcyU5Dzq8RQgghhPhBXMlOQ86vEUIIIU2SJvI0VkNC5TAhhBCSUlhIfF6c01gSJjuENDBRU+mpXAjUb1waCRq7i3ZuzQYlum5E0aQYjAR17Yvax12hy4DBdE/qcg6/r9WXSINBPQZZJFQxH3T4c15qXxS9i9bOZEwYEB9RpqXpfBStkYwnfqd9U3FOQI27Wuh0KnXNjrKt9p852T/W+5jxiPMWcmhH/GHLli0oLi6O0vyed955CY3LZIcQQghJJZrgNNbnn3+On/3sZ/jggw9gWRbs759AsL536w6FEks1U0d+TgghhJDEHztvhI+fX3vttejatSu+/vprHHHEEfjoo4+wZs0a9O/f3xe9MO/sEEIIISSprFu3Dq+//jratWuHQCCAQCCAAQMGYMaMGZgyZQo2btyY0PgJ3dl54403cNlll6GwsBA7d+4EACxevBhr165NKChCCCGkyWJb/ixxMGPGDJx66qlo2bIl2rdvj1GjRrmymlm9ejX69euHnJwcdOvWDbNnz/Z0yKFQCC1atAAAtG3bFrt27QIAHH300XFZ3pjwnOwsW7YM5557Lpo1a4aNGzeioqICAHDgwAH84Q9/SDgwkiYELHXxEduy1CWAyALLql0CiCxOvwWOvxEWYj4g4baPx9+fmPvxOoZl1y7q4NqSIDUVm2MtiY7nRNi2IoskYNm1C7TFCtcuEIvoE7TCypJphWIuQYSVRY5hjEfu3wojaNmRRY6dY1UpS6ZVLZZwZMmxqiNLprbI45b7cUI5D5CLpSwyBuU8WO4Wt59rdTgYWSrCGZFFrq8OB1EpFn2bXEzXTAhWZEkGTt+heJZ4WL16Na6++mq8/fbbWLFiBaqrqzF06FAcOnTI2Gf79u0YMWIEBg4ciI0bN+Kmm27ClClTsGzZsriPuVevXti8eTMA4Ic//CHuu+8+vPnmm7jrrrs8VTnX8TyNdffdd2P27NkYO3YslixZEll/xhln4K677ko4MEIIIYQ0DC+//LLyfsGCBWjfvj3ef/99DBo0KGaf2bNno0uXLpg5cyYA4MQTT8T69etx//33Y/To0XHt/5ZbbokkVr///e8xcuRIDBw4EG3atMHSpUvjPyANz8nO1q1bY56A3Nxc7Nu3L5GYCCGEkKZLCjyNtX//fgBA69atjW3WrVuHoUOHKuvOPfdczJs3D1VVVcjMzHS9v3PPPTfy+thjj8WWLVuwd+9eHHnkkZEnshLB8zRWfn4+tm3bFrV+7dq1vtxyIoQQQpokPmp2ysrKlKVGcuK4e9tGUVERBgwYgF69ehnblZaWokOHDsq6Dh06oLq6Gnv27In7sHUdcOvWrfHkk0/6ogP2nOz85je/wbXXXot33nkHlmVh165deOqppzB16lRcddVVCQdGUoSwXbs4ITUyxDsGbZDndibcanTEfnz/iFPsEVmTTkfX5ug6m9rF1saoXUz6HV3no+hsEIosWZa6SG2OuoTEom6T/aU+KUprJLU9SmwQS0BZpJ4nShdlWExIHY2TlqbaDkSWSk2nU16dEVnk+io7oCxSqZVsnY5E6usSWQCgoKAAeXl5kWXGjBl17n/y5MnYvHkznnnmmbpj1X4QdH8ct9S3DtjzNNa0adOwf/9+DBkyBOXl5Rg0aBCys7MxdepUTJ48OeHACCGEEJIYO3bsQG5ubuR9dna2Y/trrrkGL7zwAtasWYPOnTs7tu3YsSNKS0uVdbt370ZGRgbatGkTV5z1rQNOyGfnnnvuwc0334wtW7YgHA6jR48ekUfHCCGEEOIBHzU7ubm5SrJjbG7buOaaa7B8+XKsWrUKXbt2rbNPYWEh/vnPfyrrXn31VfTv3z8uvQ5Q/zrghB2UjzjiCPTv3x+nnXYaEx1CCCEkUZLgs3P11VfjySefxNNPP42WLVuitLQUpaWl+O677yJtpk+fjrFjx0beT5o0CV9++SWKiorw8ccfY/78+Zg3bx6mTp0a9yHXtw44rjs7RUVFrts++OCDcQdDCCGEkIZn1qxZAIDBgwcr6xcsWIDx48cDAEpKSlBcXBzZ1rVrV7z00ku4/vrr8dhjj6FTp0545JFH4n7sHKjVAc+fPz+iA163bh2mTp2K2267zfNx1RBXsqPbNb///vsIhULo3r07AOA///kPgsEg+vXrl3BghDQIBqNDxz+KDMI7139I6caEhmZux/NqMpgI+ikwGphFra87WL0Cuqm6udt2klgGfzWYKp0HNNM72c5UAf3wGLHN8pwqpStjW07V0Wu35ch2Ip5Kbf9KNXIHIz+5TTk+8dkFtEkB+TVS+hteA0DYRcVxAAiJfclK505Vz6uUdrH7A0AoGV8eNyTh0XPbhQvhwoULo9adeeaZ2LBhQ3w7i0F964DjSnZWrlwZef3ggw+iZcuWeOKJJ3DkkUcCAP773//i8ssvx8CBAxMOjBBCCGmSpIDPTjKoTx2wZ83OAw88gBkzZkQSHQA48sgjcffdd+OBBx7wJThCCCGEpDdVVVUYMmQI/vOf/9SbDthzslNWVoavv/46av3u3btx4MCBhIIihBBCmix6vTqvSyMhMzMTH374oS9OySY8P3r+s5/9DJdffjkeeOABnH766QCAt99+G7/73e9wwQUX+BYgIQoJPz/oMw7fTUUOkOh32KMeqLHgtmihNJmrq4ilG+QYUj+TGRD6Fu1fDamfkXoeJ6M8OYZslyV0NPrYmYpmR9W75CiaHRG3uAAqbF1rZNAnOeh35DmRX71MS9W+ZCpjyz4OY4t2UpEU0r7k8jMPi+OrtqUWR+1THYqt5wlrXxDdtDBlSKTirxyjETF27FjMmzcPf/zjH+tlfM/JzuzZszF16lRcdtllqKqqgm3byMzMxIQJE/CnP/3JzxgJIYQQksZUVlbir3/9K1asWIH+/fujefPmyvZEn/D2nOwcccQRePzxx/GnP/0Jn332GWzbxnHHHRcVICGEEELcI8s9JDJGY+LDDz/EKaecAuDwk90SP6a3PCc7ddk3+/FcvBtqEq6SkhL07NkTM2fO5NNghBBCGi9N8Gks+bS3zqZNmxIe33Oys3z5cuV9VVUVtm/fjoyMDBx77LENkuwsXboU1113HR5//HH86Ec/wpw5czB8+HBs2bIFXbp0qff9E0IIIcR/9u/fj6eeegrz5s3Dpk2bEAqF6u7kgOdkRzcYBA4/oTV+/Hj87Gc/Sygotzz44IOYMGECrrjiCgDAzJkz8corr2DWrFmuKruSJojT7VCHbXYDCaMbSlPo6Ra37OQUqNPYcgifD1aKnAMG4bEuxg0YTPykyDZTExGbzP6iTAUNJznoIGqWguUsIdvN0g0CEVuUnCOEw+WO4mfzPxxBg9g4aJlNBYPio1TPqfnch1x+qcJiXyazwKqQbioYW7ysmwqGRQzytZNom9Qvr7/+OubPn4+///3vOProozF69Gj89a9/TXjchAqB6uTm5uKuu+7CT3/6U4wZM8bPoaOorKzE+++/jxtvvFFZP3ToULz11lsx+1RUVETKxgOHkzNCCCEklbDgg2bHl0gahq+++goLFy7E/PnzcejQIfziF79AVVUVli1bhh49eviyD9//Xt23bx/279/v97BR7NmzB6FQCB06dFDWd+jQIarkfA0zZsxAXl5eZCkoKKj3OAkhhJC4SEIh0GQxYsQI9OjRA1u2bMGf//xn7Nq1C3/+859934/nOzuPPPKI8t62bZSUlGDx4sUYNmxYwoG5RVdp27ZtVG5Pnz5dKWZaVlbGhIcQQghJEq+++iqmTJmCK6+8Escff3y97cdzsvPQQw8p7wOBANq1a4dx48Zh+vTpCQdWF23btkUwGIy6i7N79+6ouz01ZGdnIzs7u95jI4QQQjzThJ7GeuONNzB//nz0798fJ5xwAsaMGYOLLrrI9/14Tna2b9/uZxxxk5WVhX79+mHFihWKIHrFihU4//zzkxgZSWmirHotwzatorbQK7os1uwJRQNcf7vxdofbbSfZzOF0u6lSHg/yhq7iuqu81tx5xUy+FMyGRKBVtvozmWmHxLbai0EX3JrceWU73dG3UuyrErVj60LmgKHyOkRsFdr+ZaxVDhexPHbltXBkDkMXG0Nsk+fUfO7dIo81M1B7fBkBsT6oVYUX2zKU12o7xQE7lUTJTSjZKSwsRGFhIR5++GEsWbIE8+fPR1FREcLhMFasWIGCggK0bNky4f141uwUFxcbS8IXFxd7DigeioqK8Ne//hXz58/Hxx9/jOuvvx7FxcWYNGlSg+yfEEIIIYlzxBFH4Fe/+hXWrl2LDz74AL/97W/xxz/+Ee3bt8d5552X8Piek52uXbvim2++iVr/7bffomvXrgkF5ZaLLroIM2fOxF133YWTTz4Za9aswUsvvYSjjz66QfZPCCGE+E2Ng3KiS2Ole/fuuO+++/DVV1/hmWee8WVMz9NYJiHwwYMHkZOTk1BQ8XDVVVfhqquuarD9EUIIIfVKE5rGciIYDGLUqFEYNWpUwmPFnezUPM1kWRZuvfVWHHHEEZFtoVAI77zzDk4++eSEAyMkJnJaPRUqoDv8oCj6m4b64XLQyKQybkvfmIz6vBIyaHuqwrU/jboeROpdwg76G2U/YptsV6npgVRdTe3YQceLvfZLERIXgNT86DHIyuJOWhq14riMUzsnBp1P2CFu0/kK6pXSLWH2J44vw4qtywGADPGZZQmdTpT2qTHf/iBxEXeyU+OcbNs2PvjgA2RlZUW2ZWVloU+fPpg6dap/ERJCCCFNCd7Z8Z24k52aYl2XX345Hn74YeTm5voeFCGEENJUaYpVz+sbz5qdBQsW+BkHIYQQQgB/HJAbiYNyQxFXslNUVITf//73aN68ueJEHIsHH3wwocAIIYQQ0nR44403MGfOHHz22Wd47rnncNRRR2Hx4sXo2rUrBgwYkNDYcSU7GzduRFVVVeQ1IY2esLjXK0o367eAlbcG80HHPg4bTB58bg0G3RYj9xPXguuoeOru6NZs0IspoW70J98rol2YzfBCVmzzwShTQYM4VzEV1OIJGUwOq+DOyVKa/VVp8UhzRKeK4yZzRSl+1k0F5ddI6W94HQ9SsJyhmArGFiEDZvNB3VQwmKpzPU1Qs7Ns2TKMGTMGl156KTZu3Bgp2n3gwAH84Q9/wEsvvZTQ+HElOzV6Hf01IYQQQvyhKWp27r77bsyePRtjx47FkiVLIuvPOOMM3HXXXQmP71mzY5rGsiwLOTk5OO6443D++eejdevWnoMjhBBCSPqzdetWDBo0KGp9bm4u9u3bl/D4npOdjRs3YsOGDQiFQujevTts28ann36KYDCIE044AY8//jh++9vfYu3atejRo0fCgRJCCCFNgiY4jZWfn49t27bhmGOOUdavXbsW3bp1S3h8z8lOzV2bBQsWRB4/Lysrw4QJEzBgwABMnDgRl1xyCa6//nq88sorCQdKkkTApQhEijjcOsSRaLyaB8aL24/IT2NErzE0EIp+R+pltKKZshBo2El/YzAsVNrArKtRdDrauVe1NLJAZ21s5ZphYaU0Q5TaIOhao9g6pioRQ5WtFQI1mCaaXjuhG/3Jcxc0mArqmp2cjOqY2zK1Yp+mgqqhZF+cfpR7aGTJzm9+8xtce+21mD9/PizLwq5du7Bu3TpMnToVt912W8Lje052/vSnP2HFihWKz05ubi7uuOMODB06FNdeey1uu+02DB06NOEgCSGEEJK+TJs2Dfv378eQIUNQXl6OQYMGITs7G1OnTsXkyZMTHt9zsrN//37s3r07aorqm2++QVlZGQCgVatWqKysTCxCQgghpCnRBKexAOCee+7BzTffjC1btiAcDqNHjx5o0aKFL2N7ri50/vnn41e/+hWWL1+Or776Cjt37sTy5csxYcKESNGud999Fz/4wQ98CZQQQghpEtg+LY2Iyy+/HK+99hqaNWuG/v3747TTTvMt0QESuLMzZ84cXH/99bj44otRXX14fjQjIwPjxo3DQw89BAA44YQT8Ne//tWfSAkhhBCSlnz77bf4yU9+gjZt2uDiiy/GmDFjfC0q7jnZadGiBf7yl7/goYcewueffw7btnHssccqmRirnxPFbQxQjPsSxdIVs+Hase2AHXO9pd3LdG3iZ/gryW0fvz0zvAxnNBz0WYvptz490YroauVu3VRQGgnGFhvrZnhqZfLa11FCX8MJV+LRDQtl5XWHsbMgBbm1Ylx5fFWaQFkRHrt0n1RNF2MbDB7eV2zBsx+mgvJzlaaA2YHa464MqCLyLIP5oG4qaLpmki1Wboo+Oy+88AL27duHv/3tb3j66acxc+ZMdO/eHZdddhkuueSSqKe04sXzNFYNLVq0QO/evdGnTx9fbzkRQgghpOnQqlUr/PrXv8aqVavw5Zdf4vLLL8fixYtx3HHHJTy25zs7APDaa6/htddew+7duxEOq4/0zZ8/P6HACCGEkCZJExUo11BVVYX169fjnXfewRdffIEOHTokPKbnOzt33nknhg4ditdeew179uzBf//7X2UhhBBCCHHLypUrMXHiRHTo0AHjxo1Dy5Yt8c9//hM7duxIeGzPd3Zmz56NhQsXYsyYMQkHQUhTIkp/Y/oLrBH/ZWbEIH+oz+KfkujCm7F1LLLYp67zMRX/NGl0Dm+LrWnRDQulzqZSvA5qZnjy2pDxSK1JpTa2HE/XAElM26T8LtpUUJghutyPiahjFWRa7gqBVivbarU9sn+s9zHjEefUXTnWxGmKmp3OnTvj22+/xbnnnos5c+Zg5MiRyMnJ8W18z8lOZWUlzjjjDN8CIYQQQsj3NLJkJVFuu+02XHjhhTjyyCPrZXzP01hXXHEFnn76aT9jIYQQQkgT5Ne//nW9JTpAAnd2ysvLMXfuXPy///f/0Lt3b2RmZirbH3zwwYSDI4QQQpocTUSgXFRUhN///vdo3rw5ioqKHNsmmlN4TnY2b94c8dH58MMPlW0WC0ESQgghnmgqmp2NGzeiqqoq8tqEHzmF52Rn5cqVCe+ckKTjQRxsNBL04cfF0aQw2SgOjC771OMvrh9/U4UNlcmrpXFgWK+UbcfsE44yFTQJfWMb9R0eI7apoD62FP4Glcrdta8rNVNBZTzF7E+v1i7F1LFjDWtXp2okGPuc6gJuaejnJEqW51v2keLiTE2gnBWUouTasXUTwaCyTVSP92iASOJD5hH1nVPwEyWEEEJSiSZYG6u4uBi24dHU4uLihMdPKNnZt28fHnjgAVxxxRWYOHEiHnzwQezfvz/hoAghhJCmSs00VqJLPKxZswYjR45Ep06dYFkWnn/+ecf2q1atgmVZUcsnn3zi6Zi7du2Kb775Jmr9t99+i65du3oaU+I52Vm/fj2OPfZYPPTQQ9i7dy/27NmDhx56CMceeyw2bNiQcGCEEEIIaRgOHTqEPn364NFHH42r39atW1FSUhJZjj/+eE/7t207pjbn4MGDvvjteNbsXH/99TjvvPPwl7/8BRkZh4eprq7GFVdcgeuuuw5r1qxJODhCCCGkyZGEp7GGDx+O4cOHx72b9u3bo1WrVnH3q6HmKSzLsnDrrbfiiCOOiGwLhUJ45513fCkq7jnZWb9+vZLoAEBGRgamTZuG/v37JxwYIamEF1GyrMpuJ1o5Wd9Pgj+ELote1ysmgbFXl2RTPyn61YWnStVzRbQrql5bWh9FtOsg9FUEvbGFzHo8UlSsOhGrAt6gYTzZTndnVmJ1eVNfipVlZfNKu1ppZ6x67rRP4cIcFKcuoF3cUkQsRcnVotJ5lhaP/CyyHRyU9X2lDI3o0fO+ffuivLwcPXr0wC233IIhQ4bE1b/mKSzbtvHBBx8gKysrsi0rKwt9+vTB1KlTE47Tc7KTm5uL4uJinHDCCcr6HTt2oGXLlgkHRgghhDRF/Hz0vKysTFmfnZ2N7OzsxAYHkJ+fj7lz56Jfv36oqKjA4sWLcfbZZ2PVqlUYNGiQ63FqnsK6/PLL8cgjj9Rb/uBZs3PRRRdhwoQJWLp0KXbs2IGvvvoKS5YswRVXXIFf/vKXfsZICCGEEA8UFBQgLy8vssyYMcOXcbt3746JEyfilFNOQWFhIR5//HH85Cc/wf333+9pvOOPPx7PPvts1Pr58+fj3nvvTTRc73d27r//fliWhbFjx6K6+vBtwszMTFx55ZW+BEYIIYQ0SXycxtqxYwdyc3Mjq/24q2Pi9NNPx5NPPump79y5c2OWoOrZsycuvvhi3HDDDQnF5jnZycrKwsMPP4wZM2bgs88+g23bOO644/Dtt99i0qRJmD9/fkKBkUaM9EpINTdtpx+Q+pzjtg2vUb8mhQnjcwxe9Di6EVwi6MZ2YYNpXsDBDK8qHIy5LWpsgzBKqa6uaXakzkZWLQ9qN+GrxOug7c4Yz0lfpMQtNUWIbTCoWwCGDNqnsENV+KDLnwZ5TFK/kyH0N9kB82CyOrqu2TGZGSbdYNDHZCc3N1dJduqTjRs3Ij8/31Pf0tLSmH3btWuHkpKSREPznuzUcMQRR+Ckk06KvP/000/xxBNPMNkhhBBCGgkHDx7Etm3bIu+3b9+OTZs2oXXr1ujSpQumT5+OnTt3YtGiRQCAmTNn4phjjkHPnj1RWVmJJ598EsuWLcOyZcs87b+goABvvvlmlKfOm2++iU6dOnk/sO9JONkhhBBCiH8kozbW+vXrlSepah4JHzduHBYuXIiSkhLFybiyshJTp07Fzp070axZM/Ts2RMvvvgiRowY4SneGtuaqqoqnHXWWQCA1157DdOmTcNvf/tbT2NKmOwQQgghqUQSHj0fPHiwsVwDACxcuFB5P23aNEybNs1DYLGZNm0a9u7di6uuugqVlZUAgJycHNxwww2YPn16wuMz2SGEEEJIUrEsC/feey9uvfVWfPzxx2jWrBmOP/543wTVcSc7F1xwgeP2ffv2eY2FkHrBi7mffgvYjXDYsY9bfL517at5oDKYrrI2BOG6OrrLZj5XUZdC3WohPA4Gavejm/NJwbSpkrj+3lgJXK96rpj4SYNBNW4prK1CbQwBIVbWK6W7JWSoyi4FzlVRQm+TkWD8F6AuGg6Ka00KjKXZY1h/EEIcumIqqFVHV8TPYj9e4vaTZExjpQotWrTAqaee6vu4cSc7eXl5dW4fO3as54AIIYSQJk0jclD2kzfeeANz5szB559/jmeffRZHHXUUFi9ejK5du2LAgAEJjR13srNgwYKEdkgIIYQQIlm2bBnGjBmDSy+9FBs2bEBFRQUA4MCBA/jDH/6Al156KaHxk2AgQAghhBAjtk9LI+Luu+/G7Nmz8Ze//AWZmZmR9WeccQY2bNiQ8PgUKJO0xGjU57GdJ+rxx0aJW+7HZ42MWzx5RyYoKtDNBk1FHd1qZMJiPJPBIABU27FNBZ10HiajPWlQCABVorilrhVS2knDQUXjYu5jOj8mYz1ANwsUx6p94NIAUdUnxTYoBICQ1OKgVksT0OKR7wPiHCsGgdqf7QHxpZDtokwFUzQjsJD4VzTF7FzrZOvWrTFrauXm5vqiBeadHUIIISSVaIJ3dvLz8xVTwxrWrl2Lbt26JTw+kx1CCCGEJJXf/OY3uPbaa/HOO+/Asizs2rULTz31FKZOnYqrrroq4fE5jUUIIYSkEE3x0fNp06Zh//79GDJkCMrLyzFo0CBkZ2dj6tSpmDx5csLjM9khhBBCUokm8uj55s2b0atXLwQChyeZ7rnnHtx8883YsmULwuEwevTogRYtWviyLyY7JH3wpNQVPZzEyoaxXQucpc+ebvxnqIhuFCF7JRmKRX2fKaaaVES3LgwGD7erfe9U1VsXQ0f6G4z69G1OAmWJqZ0u4A4idvVwOFRHN1WFr9INFJWK6LFNBfVK6xkurwVFRGwQJcvK7/p7KUp2Ej+Thqdv374oKSlB+/bt0a1bN7z33nto06YN+vfv7/u+qNkhhBBCUo0mIE5u1aoVtm/fDgD44osvEA7XX/LJOzuEEEJICtFUNDujR4/GmWeeifz8fFiWhf79+yMYjH2n8vPPP09oX0x2CCGEENLgzJ07FxdccAG2bduGKVOmYOLEiWjZsmW97KvRJjv33HMPXnzxRWzatAlZWVlNogCpZXHWMVEsTfzitjCoMoaUO8g/QhrBX1KxcFssVNEQ1aP2xpNBoUucdDUmg0FdnyKkL4omRS8Eair+6RRPVVgU/7Tc/TybzAylUR9g1hAFNKM9pYApYhcmDVnVSh+l+Kd+viLjuvtgdaO/gElfJOIOa31088CYY2n7Mu0nKaqeJiRQHjp0KIYNG4b3338f1157bb0lO432X8/KykpceOGFuPLKK5MdCiGEEOIbNdNYiS6pTt++fbFnzx4AwOrVq1FZWVlv+2q0d3buvPNOAMDChQuTGwghhBBC4qZGoNy+fXsKlP2koqIiUkkVAMrKypIYDSGEEBKDJjKNRYFyPTFjxozIHSFCCCEkFWkqT2M1WYHyHXfcUWcy8t5773k2HJo+fTqKiooi78vKylBQUOBpLJLmRLn4pZgbXkNRn5Xbxa+x5fDLrLaLvV7fJgk7CIVNFdGluDigG/+J/UrzQaeK6uZ9ms35nEwFnYTRkfXaAw3ZgarIa1kBXRcyK/uRYmXLHJsUL1cpVeETl4WazBCVz8UgSG60NJE7OwAwbNgwAKh3gXJKJTuTJ0/GxRdf7NjmmGOO8Tx+dnY2srOzPfcnhBBCiH+MGDECzzzzDBYsWADg8JPWV199NVq1agUA+PbbbzFw4EBs2bIlof2kVLLTtm1btG3bNtlhEEIIIcmjCd3ZeeWVVxQt7b333otf/vKXkWSnuroaW7duTXg/KZXsxENxcTH27t2L4uJihEIhbNq0CQBw3HHH+VY4jBBCCGlomopmBwBs3fvMl0KA0TTaZOe2227DE088EXnft29fAMDKlSsxePDgJEVFGhS3uhqn747L4qHGgp8O/WUfx6Kesp1haKfioZ7M/rz8ErrtosSg62pS6xfYZCRoWg+YdTp6oUtlPwaNTVVY1bRUWcGYr3VCtqFYp9TIaHKZgCiOKXUwYU3spBYCjW0WGNL7yIKqhj66fsdkMhhdrDP2NRMQWqOgS+s/vfCq0exRtJPxsHBo46XRmgouXLgQtm1HLUx0CCGENGoSLQLaiIqBWpYFS0ue9fd+0Gjv7BBCCCHpiGXbUaVtvIzRGLBtG+PHj488PFReXo5JkyahefPmAKDoeRKByQ4hhBBCksK4ceOU95dddllUm7Fjxya8HyY7hBBCSCrRhJ7GqnnkvL5hskMaFfLWrJeK5Y6Exa9D0EM1dF1EnGA4vlBfXohRws6UONo6cTQVNBgMVoVVoXBmoFYYq1Y2dyt+NfeRhnxS3Kub+IUNgmC5PqgLfYVA2VQV/PB+Y4uuw4qpoPpPhykGRTztcDEGHK4fs6mgQx/RTp5HXchcKf4JdFuVvSFoSk9jNRSNVqBMCCGEEOIG3tkhhBBCUokmNI3VUDDZIYQQQlIITmP5D5MdQgghJJXgnR3fYbJD0hOTs7FugGo2qXUY20Ofpoqu+UwdDWgURtdk7fPWBcu1/TXxM2KLn1W3Yb1PbFGyk0BZrTIuqrVrf9pLUbLbauRSeFwpRMm6wFkKlk0Oym4JaifcJErOtKpFG/1Ya7fJ2MrDmdq+hJO0+DEIKAJnLz8SJNVgskMIIYSkEJzG8h8mO4QQQkgqwWks3+Gj54QQQghJa3hnh6Q+SonvhhF9uDUIdJB2qCscKpibKqI7ju2BhD3TlAESj0h+lE6hyUrpUoeim8qZqmObjAMBVVcjh5OVzTMCmgGfaBd2iNxoKmjHNuAD1CroGaLqebWmG5HtlCrq4nVmQBWoKYaFpkrpAMJW7LHlel1DZDJXdD737v7WNul0soRuSK4//D62aaJerV01PZRaI1eh1SuchvIXJjuEEEJIKmHb2kMWHscgETiNRQghhJC0hnd2CCGEkBSCT2P5D5MdQgghJJXg01i+w2kskv7UzH/HmMOu+Quqzr+CbPjzA+QVW12UuD3EZlu1iz8NBZZYPBCwbGXxkzAsdbHFYlhfHQ4qi7F/1BIwLGJsO6gssp1cXxUOqIsdjCwV4YyYS1SfcDCyyP3ohOxA7QKx2FbtAnVbWCwhWGIRbbTzYP78w8oSVBY7smRa1WIJKUuOVRVzybJCyiL7NHXWrFmDkSNHolOnTrAsC88//3ydfVavXo1+/fohJycH3bp1w+zZs+s/UI8w2SGEEEJSCCvszxIPhw4dQp8+ffDoo4+6ar99+3aMGDECAwcOxMaNG3HTTTdhypQpWLZsmYcjrn84jUUIIYSkEkmYxho+fDiGDx/uuv3s2bPRpUsXzJw5EwBw4oknYv369bj//vsxevTo+HbeAPDODiGEEJJCWLY/CwCUlZUpS0VFhS8xrlu3DkOHDlXWnXvuuVi/fj2qqqp82Yef8M4OSR8a6C8ho9kfBYFRWJrmpoE8IV1jMv6Dg39itaEQqOt9KoZ+mqmg0LIEwmYTv8pw7U+3LExaLfpXhNWf92bB2n+AQgYzPQDIRK1+RSlaqpgKqmOrxUgNpoIeRVwBUaxTmgdKnU2Opf7jKt/L/VZZ2nlsAkU+CwoKlPe333477rjjjoTHLS0tRYcOHZR1HTp0QHV1Nfbs2YP8/PyE9+EnTHYIIYSQVMJHU8EdO3YgNzc3sjo7OzuxcQWW9teL/f0+9fWpAJMdQgghJIXw02cnNzdXSXb8omPHjigtLVXW7d69GxkZGWjTpo3v+0sUanYIIYQQEheFhYVYsWKFsu7VV19F//79kZmZmaSozDDZIYQQQlIJ3T/L6xIHBw8exKZNm7Bp0yYAhx8t37RpE4qLiwEA06dPx9ixYyPtJ02ahC+//BJFRUX4+OOPMX/+fMybNw9Tp071eND1C6exUoEkVPX2BVsYOQgxpZJC6/PO8n1Ylr3WhKyinW0SNuo+EmK/0mNC+pdZWjy2SaDqVJnc0M6pmrlyPPo+TZXODVXTo947tRPnwQoY2rkcW37c+mUqD0lu0z87OyzOg4hHCllDYf0zqW1oiQ9W1wWo506OV9u/WvuQZEVtpaK64bXexwsBcSJ1cz1Z3TwgLgBdFK1WGTe9No9dJQXOAXXsYNQXq2ZA8dJSx64UgmVFrOzw97Q8BtlHF2NX2OIugQzN4U/1oLhO1Nh0YXXte9O5M72uT5JRLmL9+vUYMmRI5H1RUREAYNy4cVi4cCFKSkoiiQ8AdO3aFS+99BKuv/56PPbYY+jUqRMeeeSRlHzsHGCyQwghhDR5Bg8eHBEYx2LhwoVR684880xs2LChHqPyDyY7hBBCSCrh49NY5DBMdgghhJAUglXP/YfJjgk9Kxb6ADssdAMBbQ7XpL8RfaD3cR2S1CvU49yxoqsR6/VdNpS+SMZgGc4vdF2MXG/FXK/3ke10WYZye1eOLfQlUf5kLnU1bnQ6+g+XbdrmpL9RdEzyWLVOJi2Vsh+z7shJ0iK1NLai86o1iAuH1QtN0ekoeh61XUCOYTCz000ETdukXiZKs+PyXxFTO6m/iRpbfMdlO92QT9GRGDRt+vqQ4ZzoGhmlD2LvR9fiyDFCLnUtJq2RHk95WGh25NDieg4GVJ1RudD5yPF0E8GwwVwx5LWKrV8koVxEusOnsQghhBCS1vDODiGEEJJCcBrLf5jsEEIIIalE2D68JDoGicBpLEIIIYSkNbyz05RwK5KuT+Gx+GtDVsSOekrSJPRWBMW6QaB8ZxDgRv2xY2in+apZQtBrFhTrxoix+ziJjRVRsnloxTQRBgPFKBRhtUMfU6xSjK2bQIoxjOJpALYcI1C7MSzWWwG1k9wWkA8KaCdFCmPl8SkGgdoFUG0wD5TCVb1PwPBIry42NlVUDwTNZoHKvhTTRfVDcmMkqFdUV0TAYr+6qaAbdBGyyRRQxuBkxijFwVVatfZyK7apYEBcJ+XaZxIU76scTAUrFVPB2F8etUJ8A0GBsu8w2SGEEEJSCAs+aHZ8iSR94DQWIYQQQtIa3tkhhBBCUgk6KPsOkx1CCCEkheCj5/7DZCeV0R8dDHiYhW2oiuqmCuhRpcBdxmAQItsmQfHhlmKbWOskxjVUBXf8o8ggwHUrPHZyUDaJny1NMK0ch4d2JhdoPQij07J+fhTXZcR+rY+tiJWtmOsPb6t9LSui61XPw4ZzZ3JTBoBqca2aKp3rQmOTM7KTAFduU/apibGrxcFKIbST87Oy3qHquUlErAuCTcJoWek8oF1oSqVzg3g6OlZRjV70r9DiCSpqc/HS4YECWblduilHO1FL8XHqVD0n/sNkhxBCCEkl+DSW7zDZIYQQQlIIy7ajrDW8jEFqYbJDCCGEpBJhRE3NeRqDRGCykw5IsUJ9ViaP0hD5uB/9i2nyOQs7tJH6G6kNEXPxUXILpVK6uZ3JKE9p5lKLE22GaNAamcwLnbY5mQ9asdtFGzqK16aq91FVz6XGyjy2Wlk+tn4nrF9LShF2obGIqo5ea/nmxmAQUDUzSlVwB3WnJ22P2CTbVWsaEKlDqXbS7LjQjkT3iV1ZXK8yLk0cM+U5FQeRqdnrSd1PyKWjiWLWJ2ODQ9VzQVBcqHrV80rD8VVqpoJKVXdpyEiXmrSDyQ4hhBCSQnAay3+Y7BBCCCGpBAXKvsPn6AghhBCS1vDODiGEEJJK0EHZd5jsSBShb31W/tbUuE4VyA3YwsTPsny+QWf6kngRIetj2Qb1qj62m3ZRVcZdmA9GiXGlKNnQH7roNvZ4ujmfrOoNgwg5agzZxWB4eDiG2H30sY3iZYexjQaIYYPCGZpeWX5G+iUjzoltMCK0te+e4ldpxf68ACAsBMuWUCXLZtGi5thi4ygBtoxHCoc9CJmNxnjQBMsOT9OYzPqkaV6UgaJi/FcdeR0lUJYicHFxSHO/sHbRSCNAdT/m3yZFqC2rvzsYf8oYyoXYOGCrJyso3lcqVc/VY1UqtBtMBUOG1/UJHZT9p1FOY33xxReYMGECunbtimbNmuHYY4/F7bffjsrKymSHRgghhJAUo1He2fnkk08QDocxZ84cHHfccfjwww8xceJEHDp0CPfff3+ywyOEEEK8w2ks32mUyc6wYcMwbNiwyPtu3bph69atmDVrFpMdQgghjRorHF3nzssYpJZGmezEYv/+/WjdurVjm4qKClRUVETel5WVud+BQTdia/obS+pvvBThbKjCnaZ9et2vbRCEGN0BtV3qRnsGzY2TrsYYj9TlRBXKlPt1KDKqaFximw86/SHlVDDUWPzTramgyfhP35cL/Q4A2PLzV3RHMGMwC4wyZ5SFPBWTQoOWB4BtKB4ahq6/qT0QGbZiMKhpO6ShY8hBpyOROh1Z4FMvBGr6t0bVqjgoCRIUGei6npDBVDCgmYVKI0F5TCYtjz5eyFBc0wmlXVjTEInrMWA491WWanIojQilcWC0PslgKijXi9gcf3NIStMoNTs6n332Gf785z9j0qRJju1mzJiBvLy8yFJQUNBAERJCCCEuqZnGSnQhEVIq2bnjjjtgWZbjsn79eqXPrl27MGzYMFx44YW44oorHMefPn069u/fH1l27NhRn4dDCCGExI/t00IipNQ01uTJk3HxxRc7tjnmmGMir3ft2oUhQ4agsLAQc+fOrXP87OxsZGdnJxomIYQQUm+wXIT/pFSy07ZtW7Rt29ZV2507d2LIkCHo168fFixYgIAHrxpCCCGEpD8pley4ZdeuXRg8eDC6dOmC+++/H998801kW8eOHZMYWSNCCqu9JopeTBjlXxuyf1Drb9I4K/316tixtykV0KP+2JHCSLHWwcRP3RB79/p7ZZNbU0GHsY3bogTYDvs1rDeOZzIO1Do5VWE3CaMV4afuLyk+DFuaBerGhvLjNxgM6iLkgJNA2IByPcmq53pFdchzYjj5DgZ6SjMPDnG6oZ98L038gtp5NAmCg1IcrAm9pfC3OuzuoQRVHCz3b76IlXjEyQpqfYKymr3BLFCP2yRKToapIB89959Gmey8+uqr2LZtG7Zt24bOnTsr24w/KoQQQkhjwIajg7brMUiERjn3M378eNi2HXMhhBBCCJE0yjs7hBBCSLpCgbL/MNlpTCSqkZH4UdTTzRiaYVmUNsfN2AajxSgjQkXH4s58UDXdkxoLp0KgpvW6sCZ28c9obU/s/bo2FXTQyFgGzY2jlkcZz21BVfHaUOAT0D5W2cxgMAjAXAhUu/6kyaDU6cgCrQGtT0jXfcWIMwoRuNTsWPoHG5AiMPHSlhoS7Ris2Nv0dm40PHofWWQ0YHgNAAERbFB8FtWyjaaRUQz5YI5b6WP4XlaFzf8sGTVE2u+MHl+sOAF3Op2kYMMHzY4vkaQNjXIaixBCCCHELbyzQwghhKQSfBrLd5jsEEIIIalEGFFTwJ7GIBE4jUUIIYSQtIZ3doDvb/eFo53kGgo/DP4iY+kiSR+EyDV4qtzudj+6INggME60krwumDRVR3cUPwuBqtMxSH2qg9jYWI3cpTmfl7FNwmUARiNBJ1Gzqbq662M1GQxqMajHqlVHlxW6DaJkXZBsGQXzsVdHNZO+mNpXNyQNC6VYWf6N6fTXt+yuG//Z8vjsmK91AbAqeBYGg1ol8IAbUbJLAa8uCDZRJYwIo0TbUjCtmArWvs7Qqp5LkbNJCK1jEiU7CcXrCz6N5T9MdgghhJBUgpod32GyQwghhKQSTHZ8h5odQgghhODxxx9H165dkZOTg379+uGNN94wtl21ahUsy4paPvnkkwaM2D28s9NQeNGaNBRhTTjgVjekVF6U/R2Oz3QenMwH3RQFBTQzOzvm+ijjN7HNDsTuA6hyLlvEagWkzkcdWjX7E30cDAtN2pcoDzmpXXEoYGrSyLgu1qnofAznF4Bt1X3uD28TL00Gg7qsSkpFlMKb+mckPkuxPqR8/rqpYPx/76k6HXms6vdI31cEod8JaHqSakM8uomg8t7wB3yU9kXR6Ri+u1H7dafTCRpMDnWtkSRk0MJUa/uRhUUDBp1OhWZEGPTxUaQQAjFf1ytJuLOzdOlSXHfddXj88cfxox/9CHPmzMHw4cOxZcsWdOnSxdhv69atyM3Njbxv166d55DrE97ZIYQQQlKJsE9LHDz44IOYMGECrrjiCpx44omYOXMmCgoKMGvWLMd+7du3R8eOHSNLMOiu6n1Dw2SHEEIISVPKysqUpaKiIqpNZWUl3n//fQwdOlRZP3ToULz11luO4/ft2xf5+fk4++yzsXLlSl9j9xMmO4QQQkgKUfPoeaILABQUFCAvLy+yzJgxI2p/e/bsQSgUQocOHZT1HTp0QGlpacwY8/PzMXfuXCxbtgx///vf0b17d5x99tlYs2aN/yfEB6jZIYQQQlIJHzU7O3bsUDQ12dnZxi66zsy2baP2rHv37ujevXvkfWFhIXbs2IH7778fgwYNSiTyeoHJjs/YQqRoJWoQ6LLKuC0UnJZbY8REzfnc9rP1iWMxn+sUg2mbww+AWj287vX6CsUs0LgXGAW8TkZ7jnpSF+PpRZylhlM5c3o7uVH28SBQditqdhrbOIZiMKiLmuXn5yAIl2LzYOw+uiDZEiJX3aTQhNrObAgqRbLGGLSva4boI8XKGQEHAYYIRwp4naqeqw8UmId2ax6oCIcDwuDPENvh+KRgWrwOq5qPSilQFh96RjgUcz0AZGomg8a446we31Cmgn6Sm5urJDuxaNu2LYLBYNRdnN27d0fd7XHi9NNPx5NPPukpzvqG01iEEEJIKhG2/VlckpWVhX79+mHFihXK+hUrVuCMM85wPc7GjRuRn5/vun1Dwjs7hBBCSCqRhEfPi4qKMGbMGPTv3x+FhYWYO3cuiouLMWnSJADA9OnTsXPnTixatAgAMHPmTBxzzDHo2bMnKisr8eSTT2LZsmVYtmxZYnHXE0x2CCGEkCbORRddhG+//RZ33XUXSkpK0KtXL7z00ks4+uijAQAlJSUoLi6OtK+srMTUqVOxc+dONGvWDD179sSLL76IESNGJOsQHGGyQwghhKQUPtzZcVvNVnDVVVfhqquuirlt4cKFyvtp06Zh2rRpXgJLCkx2TDhVD08FN2QZn5fK5m7xcqwyNr2qtGlb1Bc7dgVyKUKFF+8qXedpUK1FVz2PLYyVraIdlGVDeaz6vmLv13bo40UkrVQWD8Ref7hT7G3Kx69fC1JEbPquAJrLdezhbO1EKsJx5Rj0z0i8FvsJK8JsTSRrcCx2EqKqQzicSClYFg8uyOroUQ7Opkrn2tAmwbJThW/Fpdht5XVDfx1FlKyIn80iYnXs2ngqXQuUa//5ytQU/BVWRsw+utOz8jPqo+tywrA2lu8w2SGEEEJSibANL3dmoscgNfBpLEIIIYSkNbyzQwghhKQSdjiGR5mHMUgEJjsSp/LRJo2Mg9Ge0WDQaS41bDYpc6OfsbUL3DIZmDkZ9TnFYIpH2anT+TH0149HnUx3N7ZSyTm28CTK6FH2CQndiS5JkdukBkR6l+l9ZEV06bMWMF8zllEjo3ZRJBIO7RSdjtTIOHmumcYLG9br7x3OiSke5WCdxpYff0hzexXf2bDYkaqq0a/n2MZ/bpGXqV7NXtkmj0+cg6AWjmo46OD8JzZJ/Y5SCV67zEwmhdUebvDr+p2A+B6FZWV68WUJR+llYpv1RZkhirjDgdjtqjTzw2y5X+VnQf19VHRELgxZo6+feoKaHd/hNBYhhBBC0hre2SGEEEJSCQqUfYfJDiGEEJJKcBrLdziNRQghhJC0hnd2ANhhG7ZlK4LSKCW7FK85GfoZsmkpVtYxipcd+qiGZXK9JtqUFdHdiJWdYvBSxT3KsE6sUN3eXI1hSUGpnquLMaywoV2081/M17rYVNlmMMbTj1UVG9f2D1RrQlaDcFipYB1l4he7jxNGwbOTINg4mPrWVgTGUvStNrSCsbfZ4lgtbXDFuFGaF2rtwsq5iy1W1om6huJFGdosflbdAsOxm0ATMitDa8JauBD36kOJEylFv24qf9eFqaJ6QIjxQw5V2MOG49FRjzUQ8zUAhMR4QaUSvNNnVDf6MdQbNny4s+NLJGkDkx1CCCEkleA0lu9wGosQQgghaQ3v7BBCCCGpRDiMeKfYYo9BamCyA3yvzwnDNhQFBADLUHgPDn0czQeV3cceO8oATzEmM2hpHK5vO+BCv+OEHqdbo0QlCFNlSrdFRmtfWprWwJbaFVFLUC2uqQ4nzQJVrYk2tqKRkX0M+4fmk+dgmifHM7WzQvr5rd3oVNMTDhKOuHEYQI1BcY5U2kmdjaLfCcfW7wCaj6TQ+URJzQxSGEvoNGztAgh6+QfF4Nunjy1NCuU2aRyoFz2V8UQVCZUYPvSAYuinGf9J3ZiIPOBhukPX+ShaGnGCTFqew32k5iZ2/6htLo0ITdqlYGMRsnAay3eY7BBCCCGpBJMd36FmhxBCCCFpDe/sEEIIIakEHZR9h8kOIYQQkkLYdjiqqLOXMUgtTHYkDlXPbZElO5oPSkwCQycjQkPV9MP7NYznZPyniJpl5W6DWFmPz22FdqW/w+yoqZq5/leImwlWLTZTQXXFEFATESsCUcVMURtbVbyKdmK1LuCVJnfyY4gSKAuxsRSYGkTIh7fJCu1m0a4Sg9LfXxQ9qKmaOaCcO0WsrFoHqmPLivEuBeFuf+dDhgtNit+jzqn8+JWT6s5UUBHWR+1etFNExLpZqBDnigC9mAXqgmA3/aKM/+RPkBCee6l6Xue+Irt0EjUbrvaozzK+b4VTnCS1YbJDCCGEpBK2nfg0FAXKCkx2CCGEkFTC9kGzw2RHgU9jEUIIISSt4Z0d1BYClRhNBIE6zAddCAfcmoVF7deF+aCT8Z8L/Q4QQ8PjIjaj4WEwqLazY+tdVFEM1HNk2m9I6xOU58FQoVPXEyl6HoPBIKBoX1TzQbHaoVinIhvQDAJNhnyKtkMbW74NhGLrfHSMupqoYq11v9alC6b6ldHENhxUdEe6EaEcXPkctKHlNpPfpf7HrkkqJLVz+m+D1PNIyVeUFE9qUmKGFvV1lWPIyzmkC70MGiClQKjWQ+pNFINBBy2Niag+0kjQ8N0NaL+HpuKfjvodl32U74GTLke5HOv+29920cYXwuHo38R4oUBZgckOIYQQkkpwGst3OI1FCCGEkLSGd3YIIYSQFMIOh2EnOI1Fnx0VJjuEEEJIKsFpLN9hsgNEqp5LI0FbN5VzaSRoEi97MiL0YD4YZTzoZDgYaaPtRhoOSnNFH4z/3LeTJaxdVmiXxo/SvE6KO3WxaUiKZM1Vz+X5VvvEHuvwitqXtkshsyI2rZZiU13UHFuIGtDaScO5gIgh0b/5nOzzTMLsqG0msbKmPFY+S+V8a0Z7Ujgsx5BiZacDVwTKZnG4fB8WBxh1Tgy6WFUoro4dFN89RX+vfXctW7YTRoJBs2JaXhshxZTQ/B01GQxGVVRXjARjC4erw+rDClLI7CQ2tg3bnITMIeUky8EcrlzDcEmplB62ox+SiBcmOwrU7BBCCCEkrWm0yc55552HLl26ICcnB/n5+RgzZgx27dqV7LAIIYSQxLDtw7chE1p4Z0fSaJOdIUOG4G9/+xu2bt2KZcuW4bPPPsPPf/7zZIdFCCGEJIQdtn1ZSC2NVrNz/fXXR14fffTRuPHGGzFq1ChUVVUhMzMziZERQgghJJVotMmOZO/evXjqqadwxhlnJJboJCo8dhjDk+uyW6dlt5XSTWJl/XanFFM6OElbJuGwyU1Z36+yTyfxs0uxsjwOoe60hBWtXikbBlGypStr5TmR7rWmauhaH0WHWg0jqvA4tjMuoBpEq1XG1fH0Ku+148UM0zWODsqGfToTW6wcPbiMQRebi++BwTXZ0q4Z27Rf5XrWQ5WDC5GtdiZNBdHVENRjCBmqllvaY8hSgBvw4D4ccLJ+ltEZpkIs7dybXZOFcFn7HBWxscEZua5ttesDDu/jr3ouz09IdAqZVMx+U/PQTMJjkBoa7TQWANxwww1o3rw52rRpg+LiYvzjH/9wbF9RUYGysjJlIYQQQlIJTmP5T0olO3fccQcsy3Jc1q9fH2n/u9/9Dhs3bsSrr76KYDCIsWPHGv8SAYAZM2YgLy8vshQUFDTEYRFCCCEkiVi2U3bQwOzZswd79uxxbHPMMccgJycnav1XX32FgoICvPXWWygsLIzZt6KiAhUVFZH3+/fvR5cuXTAAI5CBOqa/9PvfkdUub2sa+juO4VRdMWCax9DHNhQCNU0n6e2cxpbHZIpH72+MR29nGs/Bh8gyjC2nsfR4MsQ2GVtQ8/oQ72U7O0OsD2oTFGJbWPbXYlDHkH1i7x8AwpkyHtkOaju532DsdmG9VmvA8Fr20SbATWPrtibKe0M7O6j+JNliX3Lqys7QfrpEP2U/ATEdFHCaLnVoJ1AKgcpLTi+oa9ivOj2lj42Y7YJBdWzpx5Mhprgygu7mEE3+OVHtDB4z+jRWhoxHvM40rAeAylDtBSCn5eR6AKgSF2h2sHYOuFlG7eucoDo3nB2oqj0GcX6CWtzy+GQ7009y5aEqLB6xHPv27UNeXl7sRglQVlaGvLw8d/8m1UE1qrAWL2H//v3Izc31KcLGS0ppdtq2bYu2bdt66luTs8lkRic7OxvZ2dmR9zXTWGvxkosdGNZ70icQQghprBw4cKBekp2srCx07NgRa0td/Jvkgo4dOyIrK8uXsRo7KXVnxy3vvvsu3n33XQwYMABHHnkkPv/8c9x2220oKSnBRx99pCQ0ToTDYWzduhU9evTAjh07Ujb7PfXUU/Hee++l5Nhe+sfTp662iWyPta2srAwFBQUpez2k8rXgZQw/r4W62vBaaNix6/O3IVnXQnFxMSzLQqdOnRBwujueAOXl5aisrPRlrKysrJgzIU2RlLqz45ZmzZrh73//O26//XYcOnQI+fn5GDZsGJYsWeI60QGAQCCAo446CgCQm5ubkj9oABAMBusttkTH9tI/nj51tU1ku9O2VL0eUvla8DKGn9dCXW14LTTs2PX525CsayEvL6/er4WcnBwmKPVAo0x2TjrpJLz++uvJDqPBuPrqq1N2bC/94+lTV9tEttfnea0vUvla8DKGn9dCXW14LTTs2PX528BrgcRLo5zG8pMaQRhFXATg9UBq4bVAauC10PhJqUfPk0F2djZuv/32uKa/SPrC64HUwGuB1MBrofHT5O/sEEIIISS9afJ3dgghhBCS3jDZIYQQQkhaw2SHEEIIIWkNkx1CCCGEpDVMdgghhBCS1jDZiZOf/exnOPLII/Hzn/882aGQBuZf//oXunfvjuOPPx5//etfkx0OSSL8HSAAsGPHDgwePBg9evRA79698eyzzyY7JGKAj57HycqVK3Hw4EE88cQTeO6555IdDmkgqqur0aNHD6xcuRK5ubk45ZRT8M4776B169bJDo0kAf4OEAAoKSnB119/jZNPPhm7d+/GKaecgq1bt6J58+bJDo1o8M5OnAwZMgQtW7ZMdhikgXn33XfRs2dPHHXUUWjZsiVGjBiBV155JdlhkSTB3wECAPn5+Tj55JMBAO3bt0fr1q2xd+/e5AZFYpJWyc6aNWswcuRIdOrUCZZl4fnnn49q8/jjj6Nr167IyclBv3798MYbbzR8oKTBSfTa2LVrV6RoLAB07twZO3fubIjQic/wd4LU4Oe1sH79eoTDYRQUFNRz1MQLaZXsHDp0CH369MGjjz4ac/vSpUtx3XXX4eabb8bGjRsxcOBADB8+HMXFxZE2/fr1Q69evaKWXbt2NdRhkHog0Wsj1myvZVn1GjOpH/z4nSDpgV/XwrfffouxY8di7ty5DRE28YKdpgCwly9frqw77bTT7EmTJinrTjjhBPvGG2+Ma+yVK1fao0ePTjREkiS8XBtvvvmmPWrUqMi2KVOm2E899VS9x0rql0R+J/g7kF54vRbKy8vtgQMH2osWLWqIMIlH0urOjhOVlZV4//33MXToUGX90KFD8dZbbyUpKpIKuLk2TjvtNHz44YfYuXMnDhw4gJdeegnnnntuMsIl9Qh/J0gNbq4F27Yxfvx4nHXWWRgzZkwywiQuyUh2AA3Fnj17EAqF0KFDB2V9hw4dUFpa6nqcc889Fxs2bMChQ4fQuXNnLF++HKeeeqrf4ZIGxM21kZGRgQceeABDhgxBOBzGtGnT0KZNm2SES+oRt78T/B1If9xcC2+++SaWLl2K3r17R/Q+ixcvxkknndTQ4ZI6aDLJTg26zsK27bi0F3wCJ32p69o477zzcN555zV0WCQJ1HUt8Heg6eB0LQwYMADhcDgZYZE4aTLTWG3btkUwGIy6i7N79+6ozJ00LXhtkBp4LZAaeC2kF00m2cnKykK/fv2wYsUKZf2KFStwxhlnJCkqkgrw2iA18FogNfBaSC/Sahrr4MGD2LZtW+T99u3bsWnTJrRu3RpdunRBUVERxowZg/79+6OwsBBz585FcXExJk2alMSoSUPAa4PUwGuB1MBroQmR1GfBfGblypU2gKhl3LhxkTaPPfaYffTRR9tZWVn2KaecYq9evTp5AZMGg9cGqYHXAqmB10LTgbWxCCGEEJLWNBnNDiGEEEKaJkx2CCGEEJLWMNkhhBBCSFrDZIcQQgghaQ2THUIIIYSkNUx2CCGEEJLWMNkhhBBCSFrDZIcQQgghaQ2THUIIIYSkNUx2CCGEEJLWMNkhhHhi8ODBsCwLlmVh06ZNDb7/8ePHR/b//PPPN/j+CSGNByY7hDQA8h9muQwbNizZoSXExIkTUVJSgl69esU8PrmMHz++zvFGjhyJH//4xzG3rVu3DpZlYcOGDQCAhx9+GCUlJX4eDiEkTclIdgCENBWGDRuGBQsWKOuys7PrdZ+VlZXIysqqt/GPOOIIdOzYEQCUxGPp0qW47bbbsHXr1si6Zs2a1TnehAkTcMEFF+DLL7/E0UcfrWybP38+Tj75ZJxyyikAgLy8POTl5flxGISQNId3dghpILKzs9GxY0dlOfLIIwEcnhKaMmUKpk2bhtatW6Njx4644447lP62beO+++5Dt27d0KxZM/Tp0wfPPfec0mbw4MGYPHkyioqK0LZtW5xzzjk4cOAALr30UjRv3hz5+fl46KGHMHjwYFx33XUAgEWLFqFNmzaoqKhQxho9ejTGjh3r+vjkceXl5cGyrKh1dR3HT3/6U7Rv3x4LFy5Uxv7f//6HpUuXYsKECa7jIYSQGpjsEJIiPPHEE2jevDneeecd3HfffbjrrruwYsWKyPZbbrkFCxYswKxZs/DRRx/h+uuvx2WXXYbVq1dHjZORkYE333wTc+bMQVFREd5880288MILWLFiBd54443IVBAAXHjhhQiFQnjhhRci6/bs2YN//etfuPzyy30/TqfjyMjIwNixY7Fw4ULYth3p8+yzz6KyshKXXnqp7/EQQpoANiGk3hk3bpwdDAbt5s2bK8tdd91l27Ztn3nmmfaAAQOUPqeeeqp9ww032LZt2wcPHrRzcnLst956S2kzYcIE+5e//GXk/ZlnnmmffPLJkfdlZWV2Zmam/eyzz0bW7du3zz7iiCPsa6+9NrLuyiuvtIcPHx55P3PmTLtbt252OBw2HtOZZ56pjCFZsGCBnZeXF7XezXF8/PHHNgD79ddfj2wfNGiQcpwSAPby5cuNcRJCCDU7hDQQQ4YMwaxZs5R1rVu3jrzu3bu3si0/Px+7d+8GAGzZsgXl5eU455xzlDaVlZXo27evsq5///6R159//jmqqqpw2mmnRdbl5eWhe/fuSp+JEyfi1FNPxc6dO3HUUUdhwYIFEVG1n7g5jhNOOAFnnHEG5s+fjyFDhuCzzz7DG2+8gVdffdXXWAghTQcmO4Q0EM2bN8dxxx1n3J6Zmam8tywL4XAYACL/f/HFF3HUUUcp7XSRc/PmzSOv7e+ngvSkxRZTRADQt29f9OnTB4sWLcK5556LDz74AP/85z/dHFZcuD2OCRMmYPLkyXjsscewYMECHH300Tj77LN9j4cQ0jRgskNII6BHjx7Izs5GcXExzjzzTNf9jj32WGRmZuLdd99FQUEBAKCsrAyffvpp1DhXXHEFHnroIezcuRM//vGPI+39xO1x/OIXv8C1116Lp59+Gk888QQmTpzo+10mQkjTgckOIQ1ERUUFSktLlXUZGRlo27ZtnX1btmyJqVOn4vrrr0c4HMaAAQNQVlaGt956Cy1atMC4ceOM/caNG4ff/e53aN26Ndq3b4/bb78dgUAgKnm49NJLMXXqVPzlL3/BokWLvB+oD8fRokULXHTRRbjpppuwf/9+Vx49hBBigskOIQ3Eyy+/jPz8fGVd9+7d8cknn7jq//vf/x7t27fHjBkz8Pnnn6NVq1Y45ZRTcNNNNzn2e/DBBzFp0iT89Kc/RW5uLqZNm4YdO3YgJydHaZebm4vRo0fjxRdfxKhRo+I6tnhwexwTJkzAvHnzMHToUHTp0qXe4iGEpD+WrU/eE0LSmkOHDuGoo47CAw88EOVbc8455+DEE0/EI488Uuc4gwcPxsknn4yZM2fWU6TusCwLy5cvr9cEjRDSuKHPDiFpzsaNG/HMM8/gs88+w4YNGyJeNeeff36kzd69e7FkyRK8/vrruPrqq12P/fjjj6NFixb44IMPfI+7LiZNmoQWLVo0+H4JIY0P3tkhJM3ZuHEjrrjiCmzduhVZWVno168fHnzwQZx00kmRNscccwz++9//4tZbb8XUqVNdjbtz50589913AIAuXbrUa1mKWOzevRtlZWUADj+mL59CI4QQCZMdQgghhKQ1nMYihBBCSFrDZIcQQgghaQ2THUIIIYSkNUx2CCGEEJLWMNkhhBBCSFrDZIcQQgghaQ2THUIIIYSkNUx2CCGEEJLWMNkhhBBCSFrDZIcQQgghaQ2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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "irf_loglike._plot_aeff(ax=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The effective area as in the name is how large the effective collection area of a given telescope is. This is not only a function of the cross section of the telescope from the perspective of the gamma ray but also the efficiency of the telescope. \n", "\n", "Say for CTAO, events with large offets from the pointing direction of the telescope have a larger distance to travel through the atmosphere than one that came directly from the pointing direction. This means that the likelihood of CTAO to see this event are smaller because it has more time to be absorbed in the atmosphere and the Cherenkov radiation will be dimmer. \n", "\n", "This dependence is smaller than that of the energy. As the energy increases the effective area increases dramatically, due to the efficiency of higher energy events being higher. This comes the fact that with more energy, more energy came be expelled as Cherenkov radiation so the events are brighter, and due to the higher energy the particles are travelling faster within the atmosphere so that propagate further as well.\n", "\n", "You can access the direct log effective area values through the `log_aeff` method and the relevant units under the `aeff_units` attribute." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(22.968884205143716, Unit(\"cm2\"))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "irf_loglike.log_aeff(energy=1*u.TeV, lon=0*u.deg, lat=0*u.deg), irf_loglike.aeff_units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### As an observational likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main purpose for the IRFs when performing inference with `GammaBayes` are as the observational likelihood to calculate the marginalised probability values formally shown below.\n", "\n", "\n", "$$ \\mathcal{Z}(\\vec{d}_k | \\mathcal{M}_i,\\vec{\\theta_i}, \\vec{\\phi}_i, \\mathbf{obs}) = \\int_{E^t} dE^t \\int_{\\Omega^t} d\\Omega^t \\; \\mathcal{L}(\\vec{d}_k | \\vec{d}^t_k, \\mathbf{obs}) \\pi(\\vec{d}^t_k, |\\mathcal{M}_i,\\vec{\\theta_i}, \\vec{\\phi}_i, \\text{exposure}) $$\n", "\n", "\n", "where at least typically,\n", "\n", "\n", "$$ \\mathcal{L}(\\vec{d}_k | \\vec{d}^t_k, \\mathbf{obs}) = \\text{PSF}(\\Omega|E^t, \\Omega^t) \\times \\text{E}_{\\text{disp}}(E|E^t, \\Omega^t) $$\n", "\n", "with no changes needed for the normalisation as\n", "\n", "$$ 1 = \\int_E dE \\iint_\\Omega d\\Omega \\; \\mathcal{L}(\\vec{d}_k | \\vec{d}^t_k, \\mathbf{obs}) \\\\\n", "=\\int_E dE \\iint_\\Omega d\\Omega \\;\\text{PSF}(\\Omega|E^t, \\Omega^t) \\times \\text{E}_{\\text{disp}}(E|E^t, \\Omega^t) \\nonumber \\\\\n", "= \\int_E dE \\; \\text{E}_{\\text{disp}}(E|E^t, \\Omega^t) \\iint_\\Omega d\\Omega \\;\\text{PSF}(\\Omega|E^t, \\Omega^t) \\nonumber \\\\\n", "= 1\\times1 \\\\\n", "= 1 \\\\ $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this reason, it would be handy to just have a method that outputs the combined (log) probability density value... which `IRF_LogLikelihood` has as the default `__call__` method or from the `logfunction` methods." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([1.77635858]), array(1.77635858), array(1.77635858))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "manual_log_product = irf_loglike.log_edisp(1*u.TeV, 1*u.TeV, 0*u.deg, 0*u.deg)+irf_loglike.log_psf(0*u.deg, 0*u.deg, 1*u.TeV, 0*u.deg, 0*u.deg)\n", "\n", "call_method = irf_loglike(recon_energy=1*u.TeV, recon_lon=0*u.deg, recon_lat=0*u.deg, true_energy=1*u.TeV, true_lon=0*u.deg, true_lat=0*u.deg)\n", "\n", "single_likelihood_method = irf_loglike.logfunction(recon_energy=1*u.TeV, recon_lon=0*u.deg, recon_lat=0*u.deg, true_energy=1*u.TeV, true_lon=0*u.deg, true_lat=0*u.deg)\n", "\n", "\n", "manual_log_product, call_method, single_likelihood_method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will discuss how we store events in `GammaBayes`." ] } ], "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 }