{ "cells": [ { "cell_type": "markdown", "id": "3f5f2045f189c08b", "metadata": { "collapsed": false }, "source": [ "# API - Quickstart\n", "\n", "This is a quickstart guide to using the API. For more detailed information, see the \n", "[API Documentation](apidoc/glassure.rst)." ] }, { "cell_type": "code", "execution_count": 1, "id": "cb02bb0c43bfaef1", "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "2c63bb84da0c8cc6", "metadata": { "collapsed": false }, "source": [ "\n", "## Loading a sample pattern and the background\n", "\n", "The basic class for handling x-y data in Glassure is the `Pattern` class. It can be used to load data from a file\n", "or to create a pattern from scratch." ] }, { "cell_type": "code", "execution_count": 2, "id": "aa8ca6a1ce32e54e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from glassure import Pattern\n", "from tests import data_path\n", "pattern = Pattern.from_file(data_path('Mg2SiO4_ambient.xy'))\n", "bkg = Pattern.from_file(data_path('Mg2SiO4_ambient_bkg.xy'))" ] }, { "cell_type": "markdown", "id": "75c6c0d863095b7a", "metadata": { "collapsed": false }, "source": [ "## Plotting the data\n", "The `Pattern` objects can be easily plotted using matplotlib:" ] }, { "cell_type": "code", "execution_count": 3, "id": "852fe6aaec504de1", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(pattern.x, pattern.y, label='pattern')\n", "plt.plot(bkg.x, bkg.y, label='background')\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "a44e2137d921c69b", "metadata": { "collapsed": false }, "source": [ "## Subtracting the background\n", "\n", "`Pattern` objects can be subtracted from each other. The result is a new `Pattern` object. Here we use this to \n", "subtract the background from the pattern. Before we scale the background pattern differently." ] }, { "cell_type": "code", "execution_count": 4, "id": "c6fd31f915839d6c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "bkg.scaling = 1.1\n", "sample = pattern - bkg" ] }, { "cell_type": "markdown", "id": "f69dac6a00ca7523", "metadata": { "collapsed": false }, "source": [ "## Calculating the Structure Factor $S(Q)$\n", "\n", "The Faber Ziman structure factor can now be calculated. For this we need the composition, which will be given as a dictionary, and a density estimate of the sample:" ] }, { "cell_type": "code", "execution_count": 5, "id": "2b39a13ca449ea4f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from glassure.utility import convert_density_to_atoms_per_cubic_angstrom\n", "\n", "composition = {'Mg': 2, 'Si': 1, 'O': 4}\n", "density = 2.7 # g/cm^3\n", "atomic_density = convert_density_to_atoms_per_cubic_angstrom(composition, density) # atoms/A^3" ] }, { "cell_type": "markdown", "id": "d4e36dbe", "metadata": {}, "source": [ "The most important part for calculating S(Q) is the normalization of the collected intensity to atomic units. We will utilize a fit method here. With this method the normalization factor is estimated by a match of the sample pattern with the sum of the squared mean form factors of the sample and the incoherent scattering." ] }, { "cell_type": "code", "execution_count": 6, "id": "eaee75a3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from glassure.utility import calculate_f_squared_mean, calculate_incoherent_scattering\n", "from glassure.normalization import normalize_fit\n", "\n", "\n", "sample = sample.limit(0, 16)\n", "\n", "f_squared_mean = calculate_f_squared_mean(composition, sample.x)\n", "incoherent_scattering = calculate_incoherent_scattering(composition, sample.x)\n", "params, normalized_pattern = normalize_fit(sample, f_squared_mean, incoherent_scattering, q_cutoff=5)\n", "\n", "n = params['n'].value\n", "\n", "plt.figure()\n", "plt.plot(sample.x, n * sample.y, label='sample normalized')\n", "plt.plot(sample.x, incoherent_scattering, label='incoherent')\n", "plt.plot(sample.x, f_squared_mean + incoherent_scattering, label=' + incoherent')\n", "plt.xlabel('Q ($\\\\AA^{-1}$)'); plt.ylabel('Intensity (a.u.)')\n", "plt.legend(); plt.tight_layout();" ] }, { "cell_type": "markdown", "id": "9d872aef2bbc82bf", "metadata": { "collapsed": false }, "source": [ "With the normalized pattern and incoherent subtracted pattern available we can now calculate the Structure factor: " ] }, { "cell_type": "code", "execution_count": 7, "id": "ffde56dbbba7dc2d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from glassure.transform import calculate_sq\n", "from glassure.utility import calculate_f_mean_squared\n", "f_mean_squared = calculate_f_mean_squared(composition, sample.x)\n", "\n", "sq = calculate_sq(normalized_pattern, f_squared_mean, f_mean_squared)\n", "\n", "plt.figure()\n", "plt.plot(sq.x, sq.y, label='S(Q)')\n", "plt.xlabel('Q ($\\\\AA^{-1}$)'); plt.ylabel('S(Q) (a.u.)')\n", "plt.legend(); plt.tight_layout();" ] }, { "cell_type": "markdown", "id": "ac9abe5750845db3", "metadata": { "collapsed": false }, "source": [ "## Calculating the pair distribution function $g(r)$\n", "\n", "The main function for calculating the transforms are inside the `glassure.core.transform` module. The `calculate_fr` function calculates the Fourier transform of the structure factor and the `calculate_gr` function calculates the pair distribution function from the Fourier transform." ] }, { "cell_type": "code", "execution_count": 8, "id": "b66c6c2c80900054", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from glassure.transform import calculate_fr, calculate_gr\n", "fr = calculate_fr(sq)\n", "gr = calculate_gr(fr, atomic_density)" ] }, { "cell_type": "markdown", "id": "9f6dd0157d2c205e", "metadata": { "collapsed": false }, "source": [ "## Plotting the results" ] }, { "cell_type": "code", "execution_count": 9, "id": "cccefeeb7ca24317", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Emf10vRY9ctM8fqaRgClDuiViWUREXYLZeZChkaAGiSf7zkvidd+o14TdMaVulCE6pvSJ7ZgSOwuKPKlctTDFjikiSj6iMJXsm2MQEcUaM6bIrxa3jqlxffLU6+fOGIqRPXLw/bEGLN9dnajlERElNfcgcZNedBEld2Gq3ebKixKjeaHGD8WufCad5yhfojKmxO57WSalIKWEuLt2HCQiSiYmvRaN7bakf38gIoo1FqbIrza3jKmxvfPwwjWnQqeVMH1ECQDgSF2rz324owgRkUKc/TbptTBoE1usCZfa/eRWTGsPcbAkfidDEozymW12WOzK82YalY83IsS9OUSIOxFRIoguU3ZMEVGqY2GK/BIjJ+nOs+YXj+ru8fNcP9tum20O9WCGiCiViYKNUadx7VRnT+4DD1FMSnMLP2+zBF+zd2FK/NecgIMs0S0FuApTGUZRmGLGFBElH5Oua3TUEhHFGjOmyC/38HN/ctJ8A9ETcSBCRJSMRBFKr3UVpqx2GQ6xVV8ScnVMuTKmQgXyWuzKz0VXWCJ35ROFqUyjDlqN0r2bJQpT7RzlI6Lko4568zM0EaU4FqbIrzavjilv/jumeLaHiAgArGphSlILU0Byd02JoHOTwW2UL1RhymeUTxSm4v97NrsVpgTXKB8LU0SUfBJZzCciSiYsTJFfrVaRMeW/MNUjL83nOs7HExEpRGHKoHNlTAHJXZgS3VFpeq26y16o8HOLXekAUzumnAWtRORpNbUr43piF0TAVaRqYscUESUh10mA5H1vICKKBxamyC9xMJKm9x9Dlm1ixxQRUSBqYUoreRSmrEkcgO4e2B72KJ93xpQ2cR1TjeqOfL4dUy0WFqaIKPmwY4qISMHCFPnlHX7uj0nv+dcnEQciRETJSBRs9FoNNBoJeq2SeZTMHVPtbh1THS1MJfIgS4zrZbmdOGHGFBElM3ZMEREpWJgiH7IsqwcjwQpTv5o62ONyqCwSIqJUIUbc9FrPTqJEjLiFS82Y0muQZtB4XBeIT2FKn8hd+ZRRvkw/HVPMmCKiZCSK+fwMTUSpjoUp8tFudUB2bhwVaFc+ALjj3P5Y/9tpGFKcBYAdU0REgtV7xE2X/IWpNrUwFUH4uc+ufGLr80QUppTiUzYzpoioixC5fPwMTUSpjoUp8uF+Zjnd4D9jCgAkSUK3LKM60sf5eCIihWtXPs/CVDIffLT7KUx1fJQvAbvy+R3l06vrSeaiIBGlJvEZmh1TRJTqWJgiHw1trp2NtBop5O3VM+ScjyciAuDKkjLoJOd/NR7XJyPXmjWujKkQu/JZvXblMyQwY0od5TO6TqhkGF1dvy0c5yOiJJPILlMiomTCwhT5EIWpnDTfnff8EZki7eyYIiIC4Bl+DnSNjCm1+0mrCbvzyezVMSV+X5uzYBVP/nbl02ldRTbmTBFRsmHHFBGRgoUp8tEYaWGKHVNERB6s3uHnztfJZC5Mqd1POk3YuSfeo3zi97UmoDOsud13lA9gADoRJS92TBERKViYIh+N7R3rmOKbKhGRwmrveuHn7h1T7h1eshy4+0kd/1MLcMroYiIKU/5G+dwvszBFRMmGHVNERAoWpshHTbMFAJCXYQjr9tzqlojIk9WrYGPUdp2MKb1Wo55wcL/e732cI9x6r44pSwJG+fztyge4Faa4Mx8RJRnRMdXOqQMiSnEsTJGPoydaAQA9c9PCur2JW90SEXlwZUx5hZ8n8euk+1ieKKgBwV/bxX1E4S2Ro3xNAUb5RAA6O6aIKNlwZ2siIgULU+Tj6Ik2AEDPvPAKU8YE7sJERJSM3LuPgK5VmDLqXOHn7tf7455LBSQ4Y8pZeMr06phKNyiXQ+0wSEQUb8xpJSJSsDBFPlyFqfSwbs82ZCIiT1avwpTonDIn8Sif+5olSVKLTeF0TKlZWqIwFecCnN0hq4WpLJ/ClPIe1WphxxQRJRd2TBERKViYIh/qKF+YHVN8UyUi8mS1eXYSJfuufA6HDJvDc81GbeguL7NXlpbeGX4e74wp9zG9QIWpFnZMEVGSEXEYPLlLRKlOF/omlCrKG9rwr7Vlak5Hj7BH+diGTETkzjv83BBGkSeR3APO1cKUXoMmc/CTDt4dU4ka5ROFKYNOo74nCRzlI6JkxTgMIiIFC1OkevzzHVj8fQUAoCTbpH6YD0V0TLVxVz4iIgCuTqKuEn7uXphS1xxGMU3syuczyhfnwlRTuxUAkGX0fd9KU0f5+B5FRMmFHVNERAqO8pFKFKUAYFBxZtj3y0lTdkDaXFaPw7UtUV8XEVFXIzKW9KL7SJe4UPBwuBefRHHJGMaOq94h74nqmHLtyOdbmMpwFqbarMyYIqLkwo4pIiIFC1Ok0kiu7wcVZYV9v7wMAwDgWH0bzv3DCgbMElHK8w4/1zlfYK2O5C5MGZzB5+J7IPiYtvtOfoCr28pqlyHL8cuZalYLU3qfn6U5u39bzDzwI6Lkwo4pIiIFC1OkynAbgbhgRHHY98tLN3hcFrv6ERGlKqsz/Fst2IiOKVt8Q8HDZfUaPQSUjCkAsNgDF3TE72nw+j3dfxYPjc5Rvkw/o3zpHOUjoiQl3iPabfa4FvOJiJINC1MEQDnrLUYh3rl1PM7sXxD2ffPSPc9Qn2ixRHVtRERdjc+Im7NjypbsHVNuhaVIOqa8Q96B+I7zBRvlS+coH1HKmT9/Pk4//XRkZWWhqKgIl112GXbv3u1xm/b2dsyaNQsFBQXIzMzEFVdcgcrKyriuU2zWIMtQd0YlIkpFCS1MrVq1CjNnzkRpaSkkScInn3wS9PYfffQRzj//fHTr1g3Z2dmYMGECvvjii/gs9iRX5ywmaTUSzuwXflEKAIqyTB6X69usUVsXEVFXJAo2vtlLyXng4V1IA9w7psIoTHntygfEtzAlduXzN8onNvJgxxRR6li5ciVmzZqF7777Dl999RWsVisuuOACtLS4slDvuecefPbZZ/j3v/+NlStX4vjx47j88svjuk73kwHJujkGEVE8JLQw1dLSgtGjR+OFF14I6/arVq3C+eefj8WLF2Pjxo2YMmUKZs6cic2bN8d4pSe/2hYzACA/wwCNe9hUGMSOR0JDKwtTRJTavEfjdAkKBQ+Xv44pcSY/UMeULMtq0UrcT6uR1LzCYAWtaFN35QvSMdXKjCmilLFkyRLccMMNGDFiBEaPHo2FCxeirKwMGzduBAA0NDTgtddew7PPPovzzjsP48aNwxtvvIH//e9/+O677+K2ThamiIgUvp/g4mjGjBmYMWNG2Ld//vnnPS4/9dRT+PTTT/HZZ59h7NixUV5daqlpVjqmCjIMIW7p34KfnYo7/rEJgOvMNRFRqrLavTuJnKN8XagwpY7yBdgtyr3w5N4ppddqYLY54todFmyUT5w8aeUoH1HKamhoAADk5+cDADZu3Air1Ypp06aptxk6dCh69+6NNWvW4Mwzz/R5DLPZDLPZrF5ubGzs9Lq0GglajQS7Q45rMZ+IKNl06Ywph8OBpqYm9U3GH7PZjMbGRo8v8nSixYLdFcqfS3G2KcSt/btwZHdcfUZvACxMERGpoeBdZJTPe72Aa5TPHOAsvvvZfaOfgpY1jmf/m8PJmOIoH1FKcjgcuPvuuzFx4kSMHDkSAFBRUQGDwYDc3FyP2xYXF6OiosLv48yfPx85OTnqV69evaKyPnHigh1TRJTKunRh6o9//COam5vx05/+NOBtYvUmcrJot9px/nOr8NTiXQCAoixjhx9LHBCwMEVEqc47Y0rnPPBI2lE+5857/jum/K/ZvcjmXtBSdyCM4+/a6CxMZRp9M6YymDFFlNJmzZqF7du349133+3U48ydOxcNDQ3q15EjR6KyPvH6yY4pIkplXbYw9c4772DevHl4//33UVRUFPB2sXoTOVkcq29DTbOrLbmjHVOAa5tuMVJBRJSqfHflU/6brLsuee+uB7iFn4fomNJpJI9sQvXsf5JkTKmjfBY7HEn6509EsTF79mx8/vnnWL58OXr27KleX1JSAovFgvr6eo/bV1ZWoqSkxO9jGY1GZGdne3xFg8GZ58eOKSJKZV2yMPXuu+/illtuwfvvv+8xG+5PrN5EThZVjWaPy73z0zv8WKIwxY4pIkp1rowppUij1yV7x5RSsHHPijJoneHnIQpT7l1WAKDTxH9s0bUrX+BRPgBoD5CXRUQnF1mWMXv2bHz88cdYtmwZ+vXr5/HzcePGQa/XY+nSpep1u3fvRllZGSZMmBDXtYpRaBamiCiVJTT8vCP+9a9/4aabbsK7776Liy++ONHL6fKqmto9LvfrltHhx8oUo3zt3JWPiFKbVe1AUooirmJNch54+N2VL1THlJ/xP/fL8fxdXeHnvqN8Jp2rMNVqsSPd0OU++hBRhGbNmoV33nkHn376KbKystTcqJycHKSlpSEnJwc333wz5syZg/z8fGRnZ+MXv/gFJkyY4Df4PJbEayZH+YgolSX001lzczP27dunXj548CC2bNmC/Px89O7dG3PnzsWxY8fw1ltvAVDG966//nr8+c9/xvjx49U3GfEG0xVtOVKPYyfacPGo7gl5/uomz46pvgWdKEyxY4qICICrW0h0SolOJFuShp93ZFc+s5/xP8A1yhfP8PNgo3wajYR0gxatFjsD0IlSxEsvvQQAmDx5ssf1b7zxBm644QYAwHPPPQeNRoMrrrgCZrMZ06dPx4svvhjnlTL8nIgISHBhasOGDZgyZYp6ec6cOQCA66+/HgsXLkR5eTnKysrUn7/yyiuw2WyYNWsWZs2apV4vbt8VXfbCtwCAnnkTMbpXbtyfv6bZ4nG5MNPQ4cdyFab4wZ+IUpcsy74ZU0kefq6OHnZgVz69T2Eqvmf/ZVl265jy/7FGFKZaLDxxQpQKZDn0SQCTyYQXXngBL7zwQhxWFBg7poiIElyYmjx5ctA3Du9i04oVK2K7oATadqwhQYUpV8fUP24eD0mSgtw6OHWUz8xRPiJKXe7ZSq5d+eKfuxSJYB1Tgc7ii9/FqPNfmIrX72q2OdRQeX+jfIBnADoRUTIJ9VpLRJQKumT4+cnCvSiXqJ2CRGHqmStGYdKgwk49VpbomOKufESUwty7ogxdpGPK1eHlOjlh1Ivwc//FnEDh5wZtfDOmGp1jfJIEpOu1fm+TrlfenzjKR0TJxsDwcyIiFqYSyb1lN5yW41g40ap8oM/L6PgIn+DqmLIl7PchIko094KMKPSoGVMJOgkRit/w8xAHS4HCz+O9A6EY48s06qDR+O/6TTcqBasWZiASUZIxODdoYGGKiFIZC1MJ1G5xK0wlaA1NbUphKjtALkckRMaU1S4HzCQhIjrZiRE2SXKN8Onj3EUUKYuaMeXqOBKFqVAZU77h5/E9+y+6dLMDjPEBSsYUALRZ2TFFRMnFIMLPk/T9gYgoHliYSiD3D8jxOFg5UteK9YfqPK4TIxDZaYE/0Icrw20Lbu7MR0SpyuZQXs91bt074vtkLUyJHfREtxMQujBlDjDKF++MKfeOqUDSnKN8zJgiomQjXkOT9f2BiCgeWJhKIPfCVJsl9m9GZz+zHD9ZsAa7K5rU6xpD7GQUCY1GUg8MmpgzRUQpyuYsyOg0rrdYdZQvWcPPnQdERrfup1C5J4F25Yt3xlST8wRLsPexdIafE1GSYvg5EVGCd+VLde4hrK3W+BVyvj/WgCElWWi32tU3wWh0TAFAXoYezWYbapvN6FeYEZXHJPLmcMj4w5e7sWxnFXZXNqFvQTo+nT0JOVH6e0zUGaIgo3MLEtcn+aiG/135QoSf2wN1TMU5Y8oc+gRLhjNjqpXdvESUZAwhulOJiFIBC1MJ5NkxFduzuHa3wF1xqOS+k1GmITp/FYqzTDhS14bKRnNUHo/Inc3uwMy/fYud5Y0e1x+qbcXoeV8iw6DF9nnT4ZABbYAQZKJYE6+37qN8XaVjyr37yagPfhbfmmyjfEEyptRRPmZMEVGS4a58REQsTCVUu9sH5FiPF4jME8B10BTOTkaRKs4xAQAqGtuj8nhE7t7+7rBPUcpdi8WOfnMXq5e3PnIBu6go7kRBRqf1M8rnSM4DD/8dU6F25fMd/wMAfZzzUiIZ5Yv1SSAiokipG0YkaUctEVE8MGMqgdzHI2K9U5B7x5TYrrxR3ZEvegfuJdlKYaqKhSmKsvpWC+Z9tkO9PH1EMT688yxsefh83Dl5gN/7jJ73JfZVNUOWk7NLhU5Oovikdw8/V8fb5KT8+2j10zGlnsUPcLDkr5gFxD9jqjmMrMR0Mcpn4SgfESUXNfycHVNElMLYMZVAZqvrDSjWZ3FtboUph+zZMRWtfCkAKM42AmDHFEXXsfo2THx6mXr5y3vOweDiLPXy/RcOxbRhRbjipTU+95327Er8aFR3/O2aU+OyViK/HVNuQeg2h6zmMCULMWLovq5QuSeBClPxztNS38uCnGRJ1yuFqRZ2TBFRkjGyY4qIiIWpRHL/sB/rs7gOP4WpxjDGHyJV7OyYqmhgYYqiY+G3B/GoW6fUY5eO8ChKCeP65GPDQ9PUEdlJv1+u/uzzbeX469UyJCm5igF0cvKbMaVzfW+1O3x2sks0q8N3J8FQo3xmP11W7pettjhlTJmV9zKxK6w/6c4cRY7yEVGyYcYUERFH+RLKPWOqzRrbNyP3jilxZryxLfRZ5kipo3xNDD+nzttX1eRRlAKAS8f0CHj7wkwjeualo2deOr64+xyPnx090RaTNVJyWrVqFWbOnInS0lJIkoRPPvkkbs9t87Mrn3vBJ16h4JHwt2ajW8eUv/HDwB1T8c6YCj3Kl2bgKB8RJScWpoiIWJhKKPeOqbYYf1h2z5gSrcIiMDY7LTYdU8mYo0Jdywcbj6nfF2YasPuJC8MOMx9SkoXfX3GKevnsZ5Z7dA7Sya2lpQWjR4/GCy+8EPfn9td95D4iZ0vCcQ3XKJ/brnw6rfq9v2KaKDwZvDqm4n2Q5SpMBX5tyDAy/JyIkpN43TUn4XsDEVG8cJQvgdzDz2O/K5/roEKEK4pRvqh2TDl35Wuz2tHYbuOOaAmy/lAd2ix2nDO4W6KX0mGVje1YsHI/AODFa0/FRad0j/gxrjy9Nw7UtODllQcAAP0fXIzHLh2B6yb0jeZSKQnNmDEDM2bMSMhz++s+kiQJOo0Em0NOyo4pccLCffzQvRPKYnf4dEYF6pgSj2GN0w6E4iRLsFG+NL3yM2ZMEVGyYfg5ERE7phIqnuHndrtvx5RrlC969UmTXosM58hEXYslao9L4ZFlGde/vg4/WbAG172+Dou2laPVYsMtb67HxX/5Bn0fWISfv7Y2biM2kbI7ZCzbVYkTLRaMf2opACAvXY/zhxd3+DFvO7u/x+WHP/0BR+paO7VOomBsfjKmAPed+ZLv35+6k6BbkcmjMOXngElcZww4yhenjKlwduUzsGOKiJKTgeHnREQsTCVSu809YyrWHVOuNztxMOEa5YtuV1N+pgEAUNfCnKl4+2xbOVbuqVYvP/TJ9/hk83F8vbMKPxxvBAB8s7cGP/v7Wlz6t9XYcqQeNc1mvPHtwaQoJL7x7UHctHADxj7+lXrdXZMHdioouiDTiFW/meJx3dnPLA9wa0pVZrMZjY2NHl8dZfOzKx/gKtjYknCkVB3lcxs/1GokaJ3FNb+FKXugjCnJ+ZjxOcgS3b/BOnTFKB8zpogo2TBjioiIhamE8uiYstpjmsnkcHtskW1V1xr6w3xH5GcYAQC1zYkvdJysLDYHfvGvzfj9kl3q35s2ix1PLlKCwkf2yEbfgnScaLXiwY+/97n/2oN12Hq0AZe98C1+/NL/MO+zHfjVu5vj+jv488yS3R6XT+uTh1vP6R/g1uHrXZCOQ09fjJeuPVW9ru8Di9D3gUVocP47oNQ2f/585OTkqF+9evXq8GOp3Udaz46peIeCR8LqZ/wQCL4znzrK51WA08WxY8pic6Dd+V4abCw9zcBRPiJKTkYWpoiIWJhKJPfwc1mG+uE6FjwyppwHINXOnfO6ZRmj+lwFGaJjioWpWFlzoBafbT2Ol1bsx/pDJwAAX++sRGWjGaU5Jnxwx1k+BZ23bjoD3z96AUx6z3/2h2qVsbZv9tZ47BQZb3e/u9mjjV2vlTD/8lOC3CNyM/zkVI1+7Evsq2qO6vNQ1zN37lw0NDSoX0eOHOnwY4mCjFYTIHspCQtT4j3Cu5imnsm3+742iPcw747GeBbgROcvAGQGGeUTI+YWmyMpw+eJKHXpOcpHRMTCVCI1mz1HCprMsevcsLlnTNkc2F3RhJ3lyqhKUZYpqs+Vl+4sTLWyMBUru8pdY0bXvPodGtut+GDjUQDAZWN7wKTX4rIxPTC6Zw4A4KJTSjBpYCGyTHq8f/sE/Pr8wcjyExR8oLolPr+Al+P1bfhky3EAwLDu2dj68AXY++RFGFScFfXnWvvgVJ/rpj27EodqEvO7U3IwGo3Izs72+Ooou+iY0gTqmEreUT6dVzFNnMn3d+LEGmqULw7h540iX8qoU8cO/UkzuHYYbE1gAZ6IyBtH+YiIuCtfQjW0eRaiDte2Rr1IJNgdnuHnH246ql4eXJwZ1ecqEBlTHOWLmZ1uhSmbQ8aoR79UL18xricAIMOow8d3TcTB2hb0K8iAxnnQNqpnLkb1zMWNk/rh6le+Q6/8NFQ0tGNTWT32VjVheGnHD8g7atG2cvX7v19/GnLSY7ebY3G2CYeevhhrD9Tiyle+U6+f/McV2PrIBdxJ8iTR3NyMffv2qZcPHjyILVu2ID8/H717947pc1vVjCnvwlR8s5ciEXCUTxf4TH7gXfniV4BrdL6PBgs+B5RxQ7ErYpvFHtXdaImIOoPh50RE7JhKKO/CVCzHibxH+aoa2wEAN5zV1yegt7PynaN8tRzli5md5U0AfHf9GtUzBwO6uQqNGo2EAd0y1aKUu0yjDp/9YhJevHYchnVXilE7jnc88Lmjms02PLl4JwDg1rP7oUduWlyed3z/Atx/4VCP655Zsisuz02xt2HDBowdOxZjx44FAMyZMwdjx47Fww8/HPPntqlFnsTuVhcJ1yif55qDnckPFX4en1E+5+6yIQrKkiSpXVMtZgagE1HyYMcUERELUwlV7xx1E0WB/TEsTHl0TNkc6vjDsO7RH5XqnqN0fR2vb4v6YyeSLMt4d10Z/re/JuL7VjW149q/f4f5zgJMZ7Rb7dhXrfxdWX3/eRjbO1f92e+vGNWhxzylhzLy576jX7ysPVCrfn/l6bHtZPF2+ak9PDqk/rm2DAc50ndSmDx5MmRZ9vlauHBhzJ9bFHm8C8e6rhB+rok8/NwYaPfBeHRMid1lw+iAynAGoLcyAJ2IkggLU0RELEwlVEObUhwa0ysXgCuEOhbcC1Nmm0Mdf4jF2FLPPKXj5eiJk6sw9cHGo3jgo+9x65sbPP48vW0uO4GJTy/D/734rfoh419rj+DbfbV4edUB/OrdzXBEsF384doWjw8ruyqaYHfIKMw0oDjbiNevPx3v3DIeB566SC1yRuq8oUXqY8//7061oy4evtmrFPquPqM3BhZFd6w0lOJsE9b9diom9C9Qr5vyxxVo44ErdYKrMJW47KVIiSKSd8dUsN2iAo3yxTP8XLyXZaeFTiZId3ZMsTBFRMnEGGRkmogoVbAwlSA2uwN1LcqueKf1yQMAHKqNXaeGd8eUGCOMRc5Gj9x0AEBFY3tSZql01MbDyu53LRY79lcH7m57YtFOHKtvw+ayeny7Tym6bCo7of780y3Hcd3r63CkLnQhcv2hOpz7hxX46ctrYLU70GqxYdvRegDA8NIcSJKEvAwDzhpY6HdcL1xF2Sa1qPXyygOY8edvPHa7ihVZlvHVjkoAruJYvBl1WvzrtjNx1em91Ovu/WBrQtZCJwfxuue9w52685It+Ub5OpMx5V3M0sVxlE90TGWF8V6WbhSFKY7yEVHyUIv57JgiohTGwlSCVDWZ4ZCVA5fT++YDAMpqW4N24nSG+xl6q93hGn+IQcdUUZYReq0Eu0NGZZM56o+fKEdOuApJ3ju4tVvtmPvR9zjl0S/UAhYA/Hd7OWRZxlZnMUlYva8GZz+zHF87izKBvLtO2bJ+y5F6vLLqAKb8cQUe/vQHAMDIKIeU/+7iYer3tS0WvL76UFQf359v99XiWH0b0vRaTBpYGPPnC+bpK0ahV77S7bdoWzn6PrAI1V3w7+/uiib0fWAR+j6wSB0XpvgSGVLeu8SJMblk65iSZTlgl1dnMqZsMXo/c6dmTIUIPweAdD1H+Ygo+QQ7AUBElCpYmEoQkb9UkmNCj7w0GLQaWOwOHK9vQ2O7NeoFKu9d+cSH+VA7GXWERiOhV57SNbWnoinqj+/P8fq2iMbjwlXV1K6OdR2qcStMeXW3/XXZXvxrXZn65yrast/fcBRXv/od6lutSNNrseeJGXjp2lPV+/199QEAwJG6Vsz/707sq3L9ebWYbR67J/7hi92obHQVSkQuVLScNbAQe56YgWvHKzlP6w/VRfXx/Xn2q90AgOkjij22c0+Ur+451+Py22sOJWYhHfT5tuOY/vwq9fLLqw4kcDWpyx4iSDwe2UuRcC8gGXxG+ZR/l2abbzEn5ChfHM7+u0b5Qp9kSeMoHxElIYPbxhix+CxLRNQVsDCVIMechanSnDRoNZLaqfG//TUY9eiXuO71tVF9PvcDj3arQ/1gnmmMfmEKAMY5xxOX7greERQNS7aX46ynl+G2t5Xspw2H6vDa6oOdzgn6+zcHMP6ppZj4+2U4eqIVxxtcmVmH3fLAbHYH/uXsbAKAQUWZ+M/sSerl7w4oBZ5xffJg0Gkw45Tu+Pius9SfVTa24/a3N+LllQcw7dlV6gHggx9/DwAozDSgd366x9p65KZh0qDodxgZdBpc5Qwg3368AbIcuw9I247WY1NZPQDgR6NKY/Y8kTDptfj5mX3Uy39Ztg99H1iEl1bsT+CqQpNlGX0fWITZ72z2uP6zrcdj+v+Q/LM6/AeJi8vJdlbcvVDmM8oXLPxcdEx5j/I5u66scTjAalQ7psIIP+coHxElIffifrK9PxARxQsLUwlyvF4Jl+6RqxSk+hVmAACe/WoPAGXEKZrcO6bcx3syYlSYOmugEib9/dGGmDy+u8XfVwAAvt5ZhQEPLsaPF6zB45/vwNvfHfK43ZG6Vtz21gZsdst7CmT57io8sWgnZBmoa7Hg56+tg/vxfZlbPtQXP1SirsWC/AwDdj1+Ib6acy6GlGThtxcN83jMs90KSWN65ar/78c/tRQ7yhvVn329owr/3nAEn245DgD47cXDcNnYHgCA3HQ9Nv3ufHw959ywMlU6YnBJJgw6Depbrdgbw50i735vCwBl3GnqsMTkS/kz75IRWPfgVI/rfr9kF25/e0OCVhRcQ5sV/eYu9vuzoyfasL+auwzGmyj06Hyyl5KzY8rqNloYKGPKHGxXvkCjfHEMPw+n+zeNo3xElIRYmCIiAmJTlaCQxChfqbM40bdAKUy5j2pFk3thqq5FKUzpNJLPAUW0jCxVxsz2V7dAlmVIUseDuQPZfqwBaw/WYftx/8Wv5buqcds5A9TLD3y0Dd/uq8WKPdXY88QMv/d5Z20Zjp5oVTO4AECSgINemVKHa1ux/VgDVu+rUQtIPzuzD0x61zjaref0x1kDC1DVaMb3xxpw/Vl93R5Twk2T+uHxz3f4rOHt7w5hwyGleHbB8GL839ieaLXYUJRlxGl985CfYQjxJ9M5Rp0WE/oXYOWeaizbVYXBxVlRf459Vc044CyYPHPFqJj8/egojUZCUbYJD140FE8t3qVe/8UPlfjlvzbjL1ePTeDqXGRZxvGGdkx8epnH9ecM7oabJ/VDZUM7+nfLQN+C9ACPQLEiCjLeHVPJuiufe6FMHyhjyutgyWZ3QLytBN6VLx4dU+GP8rk6pliYIqLk4f666687lYgoFbAwlSDehak+MT54dC9MiW8zTbqYFQT6FGRAq5HQbLahorEd3XPSov4cD32yHVuO1Ptcf/mpPfDRpmPYerQeNrsDOq0GsiyrXWgWm8NvsayqqV0dnxP+cvVYNLfb1OuHd8/GjvJGlNW14kd/Xe1x22vO6O2zlhGlORhRCkzxs+PcVaf3wvvrj2B3ZRMuG1OKn0/oiyte+p86+gcAf/rpaABAukGHn7mNmMXaeUOLsHJPNT7fdhy3n9M/qn9PZFnGTLc/u8tP7RG1x46m284ZgNvOGYBF28ox651NAID/bD2Opy4/JWYjsKFYbA60We2w2R0Y98TXPj/fPm96wtZGLmqQuNZ7lC9+BZtIiEKaRoLP7p6Bws/dC1WJ3JWvKYJRPjVjysxRPiJKHhqNBL1WgtUux+V1k4goGSV0lG/VqlWYOXMmSktLIUkSPvnkk5D3WbFiBU499VQYjUYMHDgQCxcujPk6Y+F4gzLKV5prAoCYFG7c+dsdKcMQuwNYg06jFtv2xWAcTJZlj6KUQafBlCHdcPs5/fHHH49GlkmHVosdu5zh6+6jcoCra8zduoO+Yd9jeubimvG9MaG/Mpp406R+yE33PQA6s38+SnJMEf0OGUYdPp09Ed/cNwXPXzUWY3vloiTb9RgLbzw9ZuN6oVw8qjsMWg22H2vEmgPRHSt9Z10Z2qxKx8K7t52ZVN1S/lw8qju2PnKBennkI1/gk83HErKWu/65EaPnfem3KLXl4fNZlEoSogMpUMEmHiNukbA6/I8eAoEzptwvB+qYiseufK7w89B/98V7XquVHVNElFyC5fkREaWChBamWlpaMHr0aLzwwgth3f7gwYO4+OKLMWXKFGzZsgV33303brnlFnzxxRcxXmn0eXdMFWf7FjWiGVps9zM6EuuD2IHdMgEAeyujX5iqbvIcefzJuJ5448YzMPeiYdBoJJzaWwlf33CoDrIs449f7Pa4/R4/a1p7wLMwlZ9hUEPpX75uHP59xwRccWoP3D11ECRJ6Xha++BUzDl/MJ67ckyHfg+TXotezmBzjUbCwptOx9OXn4IND03D5CGJy10qzDTisrFKIPn764+EuHVklmxXMsHG9cnDmc6CX7LLSdPj+gmujrW739uC5bur4rqGjYfr8PVO3+c8s38+Dj19MXLTYzviSeELFH4uxjXiUbCJhCiU6TW+RWKjPnjHlCT5G1lU7mN3xH6HqUZ1h9nQRfx0dkwRUZIK1J1KRJQqEnp6fcaMGZgxw3/Wjz8LFixAv3798Kc//QkAMGzYMKxevRrPPfccpk+fHqtlRl2z2YYG51ne7s4um+Jso8/tzDaHR2ZRZ/jtmDJG57EDGViUiS93VGJfdXQLU59tPY5f/Mu1+9i143tjrlfQ+Bn98rFyTzW++KESkiRh+e5qaCSgd346DtW24ofjDXhvfRm2HKnHgp+PQ4/cNHy27bjHYwwpzlK7ebJNepzeNx8AcMPEfvjp6b2Q7jz7/supg6L2uw0tycbQkuyoPV5nXDu+D97fcBSLt1fg7poW9HUG9HeWKFQ+6PX/LNndO30I3lxzWL184xvr8fsrTsGVp/uOcEZbq8WGK15a43P9xoemIY8FqaQjOqa03rvyxXHELRLWAGHtAGDU+g8/FwdPBq3Gp+vRfYTR6nDAqInNe43dIaPZLEb5Qn+cEa/ZzJgiomQTbKMJIqJU0KV25VuzZg2mTZvmcd306dOxZo3vAVsyK3d2S2WbdOpZ3oJMI7xPVrdHcdzA31nrWO3IJwwsUjqmDkS5MOVelJo8pBue/D/fzJ/LxvaARgLWHKjFI//5AQDw8zP74Ken9wIAzP/vLnyy5TgO1bbi7ne34KsdlahvtaJPQTqGd1cKQzdM7BtwDekxHINMFqN65uDM/vmw2By47MVvo9L58OUPFahoVMZYxd+PriLLpMfq+6d4XHf/h9+j7wOLsD/Kf8cFWZZx1StrMPxhz67QDIMWi345SXnd8NPlQoklMv28R/n0Sbornwhj12t9/y4FzJgShSk/G2gY3H7vWOZpNbltUhFRxxQLU0SUZMT7A3flI6JU1aUKUxUVFSguLva4rri4GI2NjWhra/N7H7PZjMbGRo+vRDvmNcYHKGfWu2V5dk29F8URKn8dU7He3U1kTJXVtsbsOfoF6OLpkZuGacNcf1dG98zB3IuGYcbI7tBqJI8w+F0VTXjkU6V4NXlwN7x7+5n45r4pmD6iJGbr7gokScLt5yq7Gta3WtH/wcV41Fnk64jlu6tw29sbAQCDijKRE8YuWsmmZ146Xrv+NJ/rp/5pJb6LchbXH7/YjX5zF3uE4QPAmzedgR8euxAjnDtfUvIRHVG+4efOjqkk25XPanN2TGn8FJkC7MonLvvb2dV9tC+WeVonWpXCVKZR57dA5s1VmOIoHxElF/EaZmXHFBGlqC5VmOqI+fPnIycnR/3q1atXopeE4/VKx0iPXM/Ac++cqfn/3RW1nCm7n8JUYabv+GA09SlQikblje0w22Jzhrp/kPGyWVMGIk2vxYjSbLx/xwSY9Fr0K8zAC9ecCpMzN2V8P2U8r8k5DjK6Vy6yTXo19ynVndnPMwNq4f8OocrZ8RSJpnYrbnxjPQClCPvKdb7Fna5i6rBiHHr6Yiy5+2yP66965Tv0fWAR+j6wCLP+uSmsv/PVTWaPf+PtVjs2HKpD3wcW4W/L9/nc/vtHL8C5g7t1/pegmFJ35fMZ5UvOjilRKNPr/HRMhQg/N/gZ/3MfYYxlx9SJVmUTC38bUvjDUT4iSlbitTTZdm0lIoqXLlWYKikpQWVlpcd1lZWVyM7ORlqa/13t5s6di4aGBvXryJHoBjl3hAhN7p7rWYjyF4AerZZefx1T3h1a0VaQYUCGQQtZBo7U+e9oi5T3wdH4IOHZo3vlYu1vp+KTWRNh1LkyTi4cWYJV903BZ7MnYd6lI3zuQy5pBi2+mzsVM0a6usfOeGppxGN9r68+pH7/7f3nBex060qGlmTj0NMX+/3Zou/LMeShJUHvv3JPNU5/8mv8fsluWO0O/HXpXgz93RL8eIHvaHKaXotLx5QmbJdGiozaMeXVgSQKVcm2K5+6i6DfjinltTNQxpTeT6eSJEluB1kx7Jhy7q4abs5aupGjfESpItTO3zfccAMkSfL4uvDCCxOzWLh1TCXZ+wMRUbx0qaCcCRMmYPHixR7XffXVV5gwYULA+xiNRhiNsS3AROJYfRu+2qEU17xDrv0FoLdbHB5FlY5KRMeUJEnoXZCBneWNKKtriUqmkDhDDgBv33wGBhdnBb19doAD+aIsE4qyTJBlGT3z0nD0RBuGFGcF7cBKVSU5Jrz0s3F4b30Z7v/wewDA3qpmDCkJ/mcvmG12PPf1HgDAmF65KMnxLcB2ZXNnDMX8/+7y+7M1+2sxYYD/4unvPtkOAFiwcj8WrNzv9zb/uHk8Jg0qhN0h+wRpU/ISr7c+o3wi/DxJd+XzXi8QepTPX8eUeCyLPbbdYWKULy/MsXSO8hGlDrHz90033YTLL7/c720uvPBCvPHGG+rlRB4v6ANsNEFElCoSWphqbm7Gvn2ucZWDBw9iy5YtyM/PR+/evTF37lwcO3YMb731FgDgjjvuwN/+9jfcd999uOmmm7Bs2TK8//77WLRoUaJ+hYgdrm1Rv7/olO4ePyvO8j1gb7fZkYPOd0n4L0zFfjevvgXp2FneiEM10cmZqmk2A1C6vc4e1PmRJkmS8PilI/Hf7eW45/zBPrtLkctPT+uFBz76HrIM7KpoDKsw1dBmxeh5X6qXX/rZqbFcYkLcfu4A3DCxL1btqcEfv9iN3ZVN6s+ufvU7PDJzOG6c2A+vrT6Ixz/fAZ1GgkOWEao28foNp2HSoEIAvru7UXJTO5AChJ/bk2xUw+oInDElMqTMXptxBAs/Vx4r9nla9a2iYyrMUT49R/mIUkU4O38bjUaUlCRHnqg+SXdtJSKKl4QWpjZs2IApU1y7XM2ZMwcAcP3112PhwoUoLy9HWVmZ+vN+/fph0aJFuOeee/DnP/8ZPXv2xN///ndMnz497mvvqBaz8oF4TK9cn/Bxf50k/kbwOsLf43hnXMVCbxGAXhedwlRts3IgUhDF4PYpQ4swZWhR1B7vZCVJEq4+ozfeWVuGX727BR9sPIoB3TLxyMzhfgt6NrsD89zC0sf0ykX3nNj/nUsEo06L84cX4/zhxViyvQJPLd6p/p2f99kOzPtsh3rbcP5N/2b6EEwZwr+TXZUoxngXFJM1/Fx0TAXdlc+7YypEYSoeYyknWjs+yudwyNzRkijFrVixAkVFRcjLy8N5552HJ554AgUFgSMiYkmMTXtHVhARpYqEFqYmT54cNNx74cKFfu+zefPmGK4qtlqcIduZRt8/en8H7ZFm+QRi93MgFI+A7z75ymice6dYZ9S2KB1TsR5DJP9Guu0E983eGnyztwbpBi3uu3Cox+1+/f5WfLjpqMd1H9wReOT2ZHLhyBJMHtINQ38XPGMqkFlTBmDWlIFRXhXFk6tjqouEn9vF6GGQXfm8M6ZCjfJpYv+71rUoo3zhh5+7xuLbbXY1DJ2IUs+FF16Iyy+/HP369cP+/fvx4IMPYsaMGVizZg20Wv8RGmazGWazWb0czZ2+DeyYIqIUx09lcdbsLExlGH3f9EpzY9cx5e99zqTvfHZVKCU5SgGpqskc4pbhUTum4jCGSL4uP7UHHvz4e4/rXlyxH30K0vHPtWWobGxHz7x0bDx8Qv35j8f1xO+vGJVS42gmvRaHnr4Y+6ubMfVPK9Xrh5ZkYfqIEvxzbRlqms0YXJyJJb86B43tVmg1EmQAWX6K1tS12AKMxolClS3ZOqYcIqzd99+oMdSufIFG+eJwkCVG+by7jwMx6bSQJECWle5lFqaIUtdVV12lfn/KKadg1KhRGDBgAFasWIGpU6f6vc/8+fMxb968mKyH4edElOr4qSzOXIUp3z/6foUZuHRMKT7dcly9zl+nU0d4P0488qUAoFumUmwT2VCdVe18nIIMdkwlgii4iA9OM/+6GrsqmtRQdACobHT9v37nlvE4a2Bh3NeZLAZ0y8Tq+6fgutfXYfaUgbj81J4AgLunDcLy3VUYUZoDjUZCbpijSNQ1qGHiPqN8ybkdeKBMLCD0KJ8x0ChfHLY+F6N84f770WgkpOm1aLXY0cacKSJy079/fxQWFmLfvn0BC1Nz585VY0cApWOqV69eUXl+hp8TUapjYSrOgo3ySZKEP1811qswFZ3nFWfwCzONONFqwe9+NDw6DxxCYZZywFDTbIlKpkeVs+hR5GcHQ4of8QFq6rAi7Kpo8nubb+6bEpdx0WTXMy8dy3492eM6SZJw3tDixCyIYk7tmPIq9IguIluSnRG3hrMrX6BRvhAdU7H8XevFrnxhjvIBQLpBh1aLHa1W7sxHRC5Hjx5FbW0tunfvHvA2sdzpWx+HYj4RUTJjYSrOgnVM+ROtkQ+xK981Z/TC3dMGxy30VXQ22R0y6tusYY9cBFLV1A4AKGZhKincPKk/vt1Xiy1H6vH6Daehd346pj27Cred059FKUpZgQo9rlG+5DrwUDOm/O7K5z+QVx3lC5Ex5d1pFU11LZGFnwOunCmxEQkRnZyC7fydn5+PefPm4YorrkBJSQn279+P++67DwMHDkzYhkqBTgIQEaUKFqbiLFjHlD/RiiIRhSmtRhPXnYgMOg1y0/Wob7Wiusnc6cJURYNSmCrK8s3jovjLzzDgk1kTPa479PTFCVoNUXIQr7d6r0KPa5Qv/Bf2fVVN0Gk06FuYEb0FehEnQAy6wB1T3uMl5hAZU3pdbMPPZVl2dUxF8L4iClMc5SM6uQXb+full17Ctm3b8Oabb6K+vh6lpaW44IIL8Pjjj8esIyoU1/gzC1NElJpYmIozcZY2wxBe8Hi0O6b8jWrEWrdMI+pbrahpNmMIsjr8OG0WOw7VtgJATA/SiIg6Q3QgeQf+qx1TYRZr9lU146I/r0aaQYvV909Blin8kbVIBOuYCjjKF6owpYlt0Hurxa52Y0U2yufsmLJwlI/oZBZq5+8vvvgijqsJjeHnRJTq/H+ipJgJZ5TvzZvOUL+3R2nkQ4yOaKT4F6YKM5WzT9Wd3JlvyQ/lsDtk9MxLQ2kOO6aIKDmJYoze60SAVnRMhfm6vnRnJSx2BxrarFi9tya6i3RjC5YxpXWN5Lkf5KkdUwG2Vder94tNx5QY4zPoNEiLYIfZTGdxr7mdhSkiSh7i/YLh50SUqliYirNwRvnOHdwN/bspHUHRKkypHVNxHOMTCrOUwlRnd+b7bGs5AOCnp/WClIACGxFROOz26ISf73bbWGBfVXOUVufLFmD0EPDsiHLPiwrVMRXr8HMxxpefbojo/SDL+d4rThIRESUDPUf5iCjFsTAVZ+GGn4sCUrQ7prxHS+KhWxQ6puwOGesP1QEApgwpisq6iIhiwersmPI+ESAKP+GO8lU0tqvfH65rjdLqfAXblc/oXphyO5Nvsdt9fu5OHGTFKmOqrlXpmMqNYIwPcJ0UYmGKiJIJw8+JKNWxMBVn4RamxMiHPch8fCQcCcyYKsxSgmmrO9Ex9b/9NWhqtyHTqMOw7h3PqSIiijWb3f/rrdpFFGbuUm2zxe37znWcBiPWq/ezw577rnsehalQGVPO3zVWu/LVOE90dMuKLKg406S89zZxlI+IkgjDz4ko1bEwFWfh7sonjgWita24OBDqqh1Tz361BwBwzuBCn/EYIqJkIcuy+rrtHSauhp+H+bpe2+IqTNW5fR9tgTq8AECjkfwWmURhKlDHlE7tmIrNQVZVBwtTWWphyhr1NRERdZQr/Dw2XaZERMmOR/hxJnblE2dtA1E7pqL0BqWewU9gxlRHC1MnWizYXFYPALj3giHRWhYRUdS5j197h5/rIhjlczhk1LW4XjNrmmNXmLIFyMQSxJl8s9V9lC/cXflic5BV3dGOKY7yEVESEh2rDD8nolTFwlQcWWwO9cN8piHMjKkojfKZ1bPb4e9eFC0l2coOeu55KZHY6wz97ZmXhv7dMqO2LiKiaHMvxHh3qIpRvnBGNerbrHCv6dS2mINufd4ZoqvJu5AmqNkn/sLPAxSz9Frf+0STGA0XHbnhEh1T3JWPiJIJR/mIKNWxMBVHDW2u0YGQHVOS2NEoOgciocYuYqlXfjoAZRelxgjHJ6x2B258Yx0AoG9BRtTXRkQUTe4HFd6ZTWogeBhdRCJTShystFsdaLXYo7VMDxa7/9FDwV8orznkrnyxDT+vblJOdETeMaWEpTNjioiSiZ7h50SU4liYiiNRmMoy6UJmPWmj3jGlHNAEOoiIpUyjDvkZSgD6kQh3llqxuxotzoOxrBDFPCKiRHMvxHiPTovL4ZwRF6N7PfPTYNIrr9uxyplSO6Z0wTumzBEUpvQRdId1RIdH+UTGFEf5iCiJGGL8mklElOxYmIojUZjKSQu9vbUY+bCHuXtTKIkc5QOAXnlpAIAjdW0R3e/oCVch6/zhxVFdExFRtAUb5dNH0EUkuktz0vQoyFCKL7WxKkw516wP1DGl9T2TbwnxnqLXxjbIVxSmijoYft5sZvg5ESUPV/g5C1NElJpYmIoj9wONUMSZ9WiP8iWiYwoAip05U9URbnle3tDuvL8Rl47pEfV1ERFFk81thztJ8p8xZQvjhIP7Dq6xzkUSB0K6ABlTovjkN2Mq4CifeA+L/kFWu9WORuefRbdMU0T3zTIyY4qIkg/Dz4ko1bEwFUeNzo6pbFPowpS6K1+UdjQyJzBjCnCNW0S6M9+xeqXD6taz+4ccfyQiSjTXDne+r1dadZRPDhlk7l6YEjvJNUWY0ReukLvy+ck+UXflC7GTXyzO/te45W9lp0U24q2O8rXbYhYmT0QUKYafE1GqY2EqjiIa5YvyVtuJzJgCXIWpmkg7ppyFqdLctKiviYgo2sRBhb+xOPfrQp10aDYrr9kZRl3Mc5FEB5c+QPHflTHlCl8P2THl/F2tUXoPc+eeL+XdlRaKKPLZHDI7E4goaej97H5KRJRKWJiKo4bW8AtTWjVjKjof6pvdzr4nQmFmxzqmxCgfC1NE1BWI12x/HVPu14U66eA5yqe8Z8RulC94x5TRX8dUiC7cWI7yifeRwgjzpQAgw6CDqGVxZz4iShZqx5SNnZxElJpYmIojNWMqPb4dU2abHe1W5eAgO4yiWCx0ZJTPZnegstFZmMqJLEeEiCgRRJFH669jyq3wE+q1XZxMyDBq1RMKzbHumAqQMeUv/DxUF64hhuHnIquwW2bkhSmNRkKmIbajkUREkTKwY4qIUhwLU3HUoGZMhe5aElkk0diVr7FNOZiRJFfwa7x1pDBV2WSGQ1YOlgo7cABCRBRvwYo8OrdRuVCdRK7ClFv4eYwKU2rHVKBd+fwcMKmjfAG6rHQx3Pq8stE1ytcR7jlTRETJQN3JlCPGRJSiWJiKo0RlTIlOrUyjDpoEBYiLM9vVzeawA2dFvlRJjilh6yYiioQ1jPBz99sFIkb5suISfh5qV77A4edGfaDCVOyCfNXswQ520or3YPGeTESUaOyYIqJUx8JUHKkdU+FkTIld+aIwBhHJboCxIs5sW2wOdZvvUI4786W65zBfioi6BjVjyk/3kSRJaieVLUQ3rHvHlKswFduOqYCjfGr4ubJmh0NW7xN4Vz6RMRX9Ub7jDZ3bFCPXOU5/otUStTUREXWGeP212B3cMZSIUhILU3EkRuri3TFV26x8+M7LSFxhyqTXquMo4YzzNbVb8enmYwCAHgw+J6IuQu0+CtDlKQpWoQo2Le6FqZiP8ok1hxjlcxam3M/oJ2JXvvJ650mL3I51TOWlGwAA9a3smCKi5CCK/LIcvY2PiIi6Eham4iiSUT5XxlTn35yOnGgFAPTMTe/0Y3VGtwh25nvkPz9g6a4qAEBpBw8+iIjizeoIvsNduNlLLWYlXDzTqFNzCWO1K584AaIP2P2kBeDqmAqrMCV+zyjnpciy7OqY6mA3bV6GUpiqa2HHFBElB/fXUo7zEVEq6nASdllZGQ4fPozW1lZ069YNI0aMgNHIgOpgGiMY5fPumDpQ3YxPtxzH7ef2R7ohsv9tR+qUD/G98hPbeVSYZcSBmhbUNIcuTH206Zj6/YBumbFcFhFR1GQYtBhRmo3+AV63RPEn/F35dHA4xzpitiufPcSufN4dU27FpsCjfOL3jO4B1olWq7rLbEkHM6bynKN89RzlI6Ik4X5iwGqTAUMCF0NElAARVTgOHTqEl156Ce+++y6OHj3qMQNtMBhw9tln47bbbsMVV1wBTYCRgFRld8hoMoc/yqfVeu7Kd897W7D1aAO2Hq3HwhvPiOi5y+qUjqne+QnumApzZz7vLrHBxVkxWxMRUTSd1jcfi355dsCfi27YUB1T7ValYypNr1XfB1ot9iit0pMrsD3UrnzK85vdduSTpAAji2r4eXRHUo47g88LMw0w6bUdegwxyneCo3xElCR0GgmSpIzysWOKiFJR2NWjX/7ylxg9ejQOHjyIJ554Ajt27EBDQwMsFgsqKiqwePFiTJo0CQ8//DBGjRqF9evXx3LdXY77bkodyZjaerQBAPDtvpqIn/uoc5SvV6ILU2478wXjHkj7m+lDMKI0O6brIiKKF70mvFBwUZgy6TVI0yvnkGJVmBJdTYFysbx35RP/DTTGB4Q/ship8ihsiuEqTLFjiihZlJWV4ZtvvsEXX3yBTZs2wWwO3V1/MlE2x+DOfESUusLumMrIyMCBAwdQUFDg87OioiKcd955OO+88/DII49gyZIlOHLkCE4//fSoLrYrE/lS6QZtwBwPd+qufF7dQ5FmTsmyrHZMJbwwFWbHlBrWnq7HrCkDY74uIqJ40YU54tbuLP6Y9FqIl31RrIo2mz14xlSgwpQxSGFKHeWLcsdUuTNfqnsHx/gA10YgLEwRJRYnMTwZtBpYbI6oZ/MREXUFYb/Kz58/329Ryp8LL7wQl19+eVi3feGFF9C3b1+YTCaMHz8e69atC3r7559/HkOGDEFaWhp69eqFe+65B+3t7WE9VyKJwlS2Kbyd8XTquIfnh/pIs9BrWyxotdghSYnf3S78wpTy84JMZpYRnQzMZjNWrVqFt99+Gy+//DI++ugjHDx4MNHLSghXJ1HgF3Or3aGehDDptEg3KCNrrRZbTLYRV3flC5UxZY+gY0q8h0U5Y+qYc5SvtBPvZ2rHVAtH+YgShZMYvrxfa4mIUkmHw8+3bduGPXv2wGAwYPDgwRg6dGjEj/Hee+9hzpw5WLBgAcaPH4/nn38e06dPx+7du1FUVORz+3feeQcPPPAAXn/9dZx11lnYs2cPbrjhBkiShGeffbajv0pcNLaFny8FuO/K17k3J9EtVZJt6nAeR7SEuytfjXOnpPwMJj8SdWXffvst/vznP+Ozzz6D1WpFTk4O0tLSUFdXB7PZjP79++O2227DHXfcgays1MiS02tCdxK5d0aZDBpIzvqPQ1bynaL9Wq7uyhegI0F0P6kdU86sqWCFKb1OZExFeZSvXjkR1ZndWjnKl5ysdgdsdhlphuj+/bbaHahoaEfPvLSAmWgUf5zE8CU2oLCwY4qIUlDEfbHr1q3DKaecgrFjx+KnP/0pLrvsMowYMQJnnnkmdu/erd6urq4u5GM9++yzuPXWW3HjjTdi+PDhWLBgAdLT0/H666/7vf3//vc/TJw4Eddccw369u2LCy64AFdffXXILqtkIDqmwi1MeWdMddSRJBnjA1wdU1VNwTvcqhrbPW5PRF3PJZdcgiuvvBJ9+/bFl19+iaamJtTW1uLo0aNobW3F3r178dBDD2Hp0qUYPHgwvvrqq0QvOS5EV1KwUb42Z2FKkpSiULpbIaotBjlTNjX8PHjHlAg9dw8/DyScAlxHuEb5OtEx5Tzp0Wqxw2yLzXjkyUiW5ZjtDLm57AQmPr0MIx/9Ao99tgOOTn72EaqbzJj+/Cqc/cxyXPPqWh7wJxH3SYyysrKg0w+RTGJ0ZYYYFfSJiLqCiApTO3bswNSpU5GWloZ//OMf2LRpEzZt2oS3334bdrsdEyZMwPHjx/Hiiy/ixRdfDPpYFosFGzduxLRp01yL0Wgwbdo0rFmzxu99zjrrLGzcuFEtRB04cACLFy/GRRddFMmvkRDqKF/EHVNRKkzlJb4w1btAWUNNswWN7YFHKERHVXFWx8+IE1FiXXzxxTh48CCeeeYZnH322UhL8ywk9O/fH9dffz2WLFmCpUuXpkR+COCWMRWkYGO2OvOldFpIkgSdVqMWgVqjnDMly7I6bhdpYcqoj3/4+fEodExlm3TqeyzH+cLT1G7Fda+vw8hHvsAtb24IWiDdfqwBc97fgj98sSusXLQWsw13/XMTqprMsDtkvP7tQfx99YGorPuR/2zHgeoWAMCaA7V4Yfm+sO63/VgD3l9/BPXsqos5h8OBgQMH4siRI4leSsLpvbpTiYhSSURHAo8++ijOP/98rF27FldffTXGjBmDMWPG4JprrsG6detw7rnnYsqUKbj33ntx9tmBt8sGgJqaGtjtdhQXF3tcX1xcjIqKCr/3ueaaa/DYY49h0qRJ0Ov1GDBgACZPnowHH3ww4POYzWY0NjZ6fCVCpB1TejUgt3OFKTHK1zsJOqayTXoUObugvttfG/B2lc6OqeJsdkwRdVW333479Ho97HY7Vq1ahfr6+oC3HT58OKZOnRq/xSWQuitfkI4p9x35BDHe1GaJbseK3SFDxFaFO8rX7ixKmHSBR67Ee1iwLK1I2R0yKhpFYarjHVOSJKmj5eL9hoL74xe78c1eZVfgr3dW4snFO/zebndFE3768hp8tOkYXli+H/d/uC3kY/9rXRnKG9rRKz8N9104BADw3Fd71R2FO6qysR1LtiufJ++cPAAAsPB/h9Aa4t/Qp1uOYebfVuO+D7fhkr99i5oQOwlHKtKcOJvdgeomc0zy5ZKBRqPBoEGDUFsb+HNhqjDE4HWTiKiriKgwtXz5cjz44IN+Z/QlScKDDz6IvXv34uOPP8a5554btUUKK1aswFNPPYUXX3wRmzZtwkcffYRFixbh8ccfD3if+fPnIycnR/3q1atX1NcVDtEhlJ0WXqyX2jHVyTenI3XK2EPvgsQGnwsDizIBALe9vRFLtper16/YXYXf/HsrDlQ345MtxwF07sCDiJKDVqvFBRdcgBMnTiR6KUkhnPDzdqtrRz4hXS1MRfdMuvvJD32AzCijcx1qYcomCmfBClPOAlwUO6aqnR01Wo2Eok521HZ3dlyJ0cBUI8ty2P9vaprNeGddGQDgtnP6AwD+ubYMO457nuiTZRkPf7odrRY7+hVmQCMBn245jg2HAkc7yLKMf3x3GABw1+SBuPPcATijXz7arHbM/+8uv7ffeqQeW4/UhyzUfLrlGBwyMK5PHu69YAj6FKSjoc2KL3+oDHifhjYrHvpku1qsLatrxVOLdwZ9HkApJq/YXYUtQdb11Y5KnPPMcgz67X/xy39tDmsscsOhOkz6/XKc/uTXuPKV79TNYU42Tz/9NH7zm99g+/btiV5KQrnCzzliTESpJ6LCVFNTk0+Hk7uSkhLo9XpMnz495GMVFhZCq9WistLzA0JlZSVKSkr83ud3v/sdfv7zn+OWW27BKaecgv/7v//DU089hfnz58MR4Ozz3Llz0dDQoH4lqlU4URlTZUk0ygcAw7pnq9+/t971/+I3H2zDvzcexXl/WqleN6I0G0TU9Y0cORIHDkRnNKerc3XDBumYchZ+0twKP+L7UN0ekXIftRPvO97UjinnbV2Fs2CjfNE/83/cWUQqzjKqJ286qnuOUpgSo4Gx9sHGo7jipf/hg41H4/J8weyvbsbkP67AiEe+wHvry0Le/rOtx2G1yxjVMwcPXjQMPxrVHbIMPPOFZ+FoxZ5qrD1YB4NOg3/eMh4/GaecCFz4v0MBH3t3ZRMO1bbCqNPg0jGlkCQJ8y4ZAY0ELNpWjvVuRa12qx2z39mMS1/4Fpe+8C1uWrg+6KjgR5uOAQAuP7UHtBoJl44uBQAs/r484H3eWVuGpnYbBhdn4qO7zgIAfLL5mBqL4M/+6mZM/dNK3PDGelz2wrf4+WvrfLqsPth4FLe/vQFlda2wOWT8Z+tx3PmPjUGztGqbzbjlrQ1ql+C6g3W485+bopa/lUyuu+46rFu3DqNHj0ZaWhry8/M9vlKFa5Tv5Pt/TEQUSkSFqT59+gQNGl+7di369OkT1mMZDAaMGzcOS5cuVa9zOBxYunQpJkyY4Pc+ra2tPjkkWq3yYT3QGSqj0Yjs7GyPr0QQhancOO7KZ7E51LPByTDKBwDXTXD9/dhf3YI/fbkb+6ubfXbqG9UzB/27ZcZ7eUQUA0888QTuvfdefP755ygvL0+K8epEEcWfYAUbkd9jdC9MOTumop0x5Z51pQ8QZq6exRcdU1bf9XkTHVPWTu4s6+54vfJ+Fo1uWhGeXhGHUb61B2px77+3YuPhE7jvg63YV9Uc8+cMRJZlzPrnJhyubYXZ5sDcj77HzvLg/wa/2qGcQLx0TA8AwL0XDIFOI2HF7mqscY7lOxwynlmibIBz/YQ+KM1Nw8/O7KPeP1Cu5NfOx540sBDpBqWjfFj3bFx5em8AwLzPfoDN7sCJFgt+9ve1WOQsKkkSsHx3NZ7201UFADuON2JXRRMMWg1+dIpSkJpxSncASgGtJUC30qdblGLWzZP64dTeeTh7UCEccuDiWqvFhlvf3IBj9W3IS9fDqNNg9b4aXPq3b9WOsje+PYh7/70VDhn4ybieePOmM2DSa/DN3pqghcpXvzmI+lYrhpZk4dNZE5Fh0GLdwTr8e+PJl8X0/PPP45VXXsHrr7+OBQsW4LnnnvP4ShWuUT5mTBFR6glvrszpqquuwpw5czBkyBCMHDnS42fff/897r33Xlx33XVhP96cOXNw/fXX47TTTsMZZ5yB559/Hi0tLbjxxhsBKGdQevTogfnz5wMAZs6ciWeffRZjx47F+PHjsW/fPvzud7/DzJkz1QJVsmpodXZMpYfZMaXtfMfU8fo2OGTAqNMkzQ53fQoy8MmsibjshW9RVteKvy7bh4XfHvK4TWGmEZ/OmpiYBRJR1IkNKi655BKPUXBZliFJEuwpNLagDWO3On8ZU65Rvuj+WYnCkSQhYBeS0acwpfw3LVhhyvl7yjLU8bvOKnd2N3WPSmFKdEzFfpTvpZX71e8dMvDvDUcw96JhMX9ef9YerMOuiiZkGLQYWJyFrUfqsWDlfvz5qrF+b99utWPDYWUM99zB3QAAfQszcM343nhrzWE8vWQXPrnrLHy8+Rh2ljciy6jDXZMHAgBG9sjGoKJM7K1qxpLvK/DT032jFL7eWQUAmDbcsxv/1xcMxudbj2P7sUbc8MZ6lNW1oqyuFVkmHV75+Wkw2+y44Y31eGvNIfzszN4YWJTlcf+PNikFn6nDitTPXUNLstC3IB2Haluxak+1WqgS9lU1Y1dFE/RaCReOUH5206R++GZvDd7fcAS/vmCwWjwTFv7vEA7UtKAk24RFv5yEuhYLbnt7Iw7WtOD/XvwWA7plYoez8HfjxL743cXDodFIuGfaYMz/7y489/UeXDKm1Gcstq7FgrfWHAKgFAJH98rFPecPxhOLduL3S3ZjxindkW0K7/NkV3D99dcneglJQe/1WktElEoi6piaO3cuevbsiTFjxmDGjBmYM2cO7rnnHlx44YUYO3YsSktLMXfu3LAf78orr8Qf//hHPPzwwxgzZgy2bNmCJUuWqOOCZWVlKC93tVw/9NBD+PWvf42HHnoIw4cPx80334zp06fj5ZdfjuTXSIj6NmVnl9w0Q1i3FwcvSjBtx4pTh2qVnWh656f7zQVLlNIcz2yQJq8zl/dfOCSp1ktEnbN8+XL1a9myZeqXuBwrL7zwAvr27QuTyYTx48cH7fiNFzV7Kegon2tXPiHNeUDcGuXClCiQBQo+B1yFKTFi6K9w5s19h79onf0Xo3ze7yEd0dM53i7eJ2OlptmMlXuqAQBzZwwFAPx3u/8NXuLhfecI/SVjSvH4pSMAAEu2VwTsINpUdgIWmwNFWUYM6JahXv+L8wYh3aDF1iP1eGnlfnWs764pA5GXoXzOkSQJl45xjs9t9x2fq2pqx5Yj9QCAqUOLPH5WmGnEH34yGlqNhNX7alBW14oeuWn48M6zMGFAASYPKcL5w4vhkJWgdHc2u0PNqrz81J7q9ZIkYdow5fPlVzt9c6YWbVPWOGlgoVrMOndQN/QpSEdTuw3/cT6m0NBmxYIVStHx/hlDUJBpxKDiLHxy10ScM7gbzDYHdpQ3QqeRcP+FQ/Hwj5SiFABcf1ZflOaYUN7QjnfW+o5T/v2bA2i12DGyRzamDitS79O/WwbqWizq83ZlLS2R/duL9PZdkSFGu5kSEXUFERWmTCYTli9fjieffBLl5eVYsGABXn75ZZSXl+OJJ57A8uXLfbYED2X27Nk4fPgwzGYz1q5di/Hjx6s/W7FiBRYuXKhe1ul0eOSRR7Bv3z60tbWhrKwML7zwAnJzcyN6zkQQo3zZHciY6mjX1KEa5U28X2FGiFvGV2Gm/+6tM/vn473bzsRPTktMQD0Rxca5554b9CsW3nvvPcyZMwePPPIINm3ahNGjR2P69OmoqqqKyfOFK5zsJb8dU/rY7MonClPuhSRvoptDrEsNPw9jVz4gegdZasdUFApTg4uVUfF9Vc2wxzCzZ9nOKsgycEqPHFwzvjc0kpL9mIjdABvbrWqB6Ken9cIpPXLQtyAdZpsDy3f7/3chRvXOGlDgccKoW5YRt5ytBKE/s2Q3KhvN6N8tAzdO7Otx/wtHKp1H3+6rUT8HCcuc3VKje+agKNv3/+mFI0vw8V1n4caJffGb6UOw+JdnY3CxqzNqzvmDAShFr72VTer13+yrQU2zGfkZBrXLSzjf2Zm1fFeVT/j7ou+VwtPFo0rV6zQaCT8br4wkvrXmsMeJwr9/cwCNzjyqS0b3UK/PSdfjzRtPx4d3noU/XzUGy++djDsnD/D48zPptZh93iAASkede1bWiRYL3nSODv7yvEHq/fRaDebOUDrtXlt9EMfi0O0XSwMHDsTTTz/tcQLamyzL+OqrrzBjxgz85S9/iePqEsMVfs7CFBGlnogKU4CSDXX//fdjy5YtaG1tRWtrK7Zu3YoHHngARmNyjIslo3rnKF9umKN8rowp2aelN9zgy0O1Slhnv27JVZjSBBjpOL1vPsb3L4jzaogoFsrKQocquzt27FhUn//ZZ5/FrbfeihtvvBHDhw/HggULkJ6ejtdffz2qzxMpvTjpEOTAQxykilwpwG2UL8oZU2KUL1Dwufs62q0OOBwy2i3h7Mrn+ngRbGwxEmrHVBRG+foUZMCg06Dd6ggabN1ZXzozlKYNK0aWSY+hJUrO5fogO9XFyn+2HEe71YHBxZkY0ysXkiSp42z//d5/F9f/1MJUoc/P7po8ABePUu4/ojQbr11/us/fiYFFmRhcnAmrXcZSry4lMcY3dVjgTXVG9czFIzNHYNaUgT5RCMO6Z2P6iGLIMvDC8n3q9e+tU7rCZo7qrh7oC+P65CE3XY8TrVZsKqtXr99T2YQ9lc0waDVq8Ur4yWk9YdRpsKO8EZudHV41zWa8tvogAGDO+UN8RlUlScK4Pnm4dEwP9AqQ8fnjcT3RIzcN1U1m/NOta+rvqw+gxWLH8O7ZPmuZNqwI4/vlw2xz4JklrnwtWZax8XAdPt58NKZ/n6NpxYoVWL9+Pfr164fx48dj1qxZePLJJ/GnP/0JDz30EC6//HKUlpbipptuwsyZM3Hfffcleskx5wo/Z2GKiFJP2IWpjo6TkVJcampXznKHG34uxj0sNgfMXm9Q4Z5JOSA6pgqSqzAFAGcPUj7kDinOQrZJGVGZ4tXKT0Rd1+mnn47bb78d69evD3ibhoYGvPrqqxg5ciQ+/PDDqD23xWLBxo0bMW3aNPU6jUaDadOmYc2aNX7vYzab4xLKHk5+oNox5daRZBLh57Ea5QsQfA64imKA0i0Vzq58Wo0E0SAStVE+Z8dUNApTWo2EQUVK19T3xxpgtTuw4VAd6lstET+WLMt+u67aLHas3qeM8YkCw5jeuQCgBmPH0/sblILNT0/rpXbhTB+h7IK8ak+1z8Fws9mGrc5CzIQBvieNTHotXrjmVOx9cgYW/fLsgN3ZomtqsVvxy/3PZlqQwlQov3B2Hf1n63EcrGlBeUObOqZ37Zm+m/HotBqcN0T5rPHVDtd6PneO8Z0zuNBn9+TcdAMuce7oJzqZ/vTlbrRa7BjVMwfTR3Rs/QadBrPPU/K4Fji7psob2vD6auU5fjl1kE+sgSRJ+O3FStfUp1uO489f78WS7RW4/KX/4YqX1uCe97Zi6p9WqiHuyWzIkCH48MMPsWfPHvzkJz/BsWPH8MEHH+DVV1/FihUr0KNHD7z66qs4dOgQ7rrrrqTPko0GQwx2MyUi6irCDj8fMWIEHn74YVx++eUwGALnJO3duxfPPvss+vTpgwceeCAqi+zqGt3a18Md5RNnHdusdp8Pi2abI+iZakAphm0uUwJLh3VPzE6Ewcy7ZAReXnkAN0zsC71WQk2zBaf2zkv0sogoSnbs2IEnn3wS559/PkwmE8aNG4fS0lKYTCacOHECO3bswA8//IBTTz0VzzzzjBqQHg01NTWw2+1qXqFQXFyMXbv87+I1f/58zJs3L2prCEQXxq5LovDjvuuda5Qvyh1TznUEHeVzK5C1WeyuUb4Q70N6rQYWmwPWKIzKmW121DQru7dGY5QPACYOLMQPxxvx3vojeG31QWw5Uo/8DAM+uWsieheEt5NtWW0rfv76WtQ2W/DU5aeoBQwA+GZvNdqtDvTITcOw7soI2mBnMWxPZXx35ttZ3ohtRxug10oeuUujeuSgMNOAmmYLNhyqw1kDXZ1R6w/WweaQ0Ss/LWDXDxC8qAkAF51Sgr8s3YtVe6vRbLYh06jDyj1VaLc60DPP9WfTESN75OC8oUVYtqsKTy7aifwMPewOGeP75XuM/bmbNrwYH20+hq92VOJBZwj9J5uVQs6P3Mb43F1/Vl/8e+NRfLrlODKMOrzrzOp6+EfDO5WJecWpPfG3ZftwrL4ND3y4DbUtFrRZ7TitT17Agteonrn4zfQh+MMXu/Hc13vU6016DfrkZ2B3ZRN+/f5WDCnJUjv0klnv3r1x77334t577030UhKO4edElMrCLkz99a9/xf3334+77roL559/Pk477TSfg4zVq1fjhx9+wOzZs3HnnXfGct1dSr2zMJVp1IX8ACeInV/aLP4KU3YAwQtcW4/Wo6ndhiyjDiNKk++DSf9umfj9j0eplweyWYropFJQUIBnn30WTz75JBYtWoTVq1fj8OHDaGtrQ2FhIa699lpMnz7dZ4fXRJk7dy7mzJmjXm5sbESvXtHPu9O7jWkHEmxXvmh3TKmFqSDh5xqNBKNOA7PNgTarXV2fMVRhSiPBAsAahYOsigalW8qo0yA/I7xNREKZPqIEr6w6gNX7atTr6los+OuyvfjDT0aH9RgPfbodh51j8/f+eyuGd8/GQGfxaYkz5Pz84cVq8UIUS/ZWNfl5tNh5z1lIOX94scefn0Yj4dzBRfhw01Es21XlUZj6337lz+Ws/r5jfJEYUpyFfoUZOFjTgmW7qnDJ6FK1e+qiU7p3erOTey8Ygm/2VuNrt1FBkT/lzzmDu8Gg1eBQbSv2VDajoc2KsrpWZBi0uCBAMWhkjxxcfUYv/GvdETWs/JrxvXFa3/xOrd2g0+Dxy0bgpoUb1MB2g06DRy8ZEfTP5a7JA5Bl0mHht4dgdThw0cjuuPnsfijMMOK2tzfg651VeOLznfjHLeMDPkYycX/tdSdJEkwmEwYOHIhLL70U+fnh/3mvWrUKf/jDH7Bx40aUl5fj448/xmWXXab+XJZlPPLII3j11VdRX1+PiRMn4qWXXsKgQYM6++t0mCGMExdERCersAtTU6dOxYYNG7B69Wq89957+Oc//+lxkDF27Fhcd911uPbaa5GXx84XdyLw07s9PBjXQYgNFq+t1MM5kyJ2jzlvWJF6hp6IKJ4OHDiAfv364cc//jF+/OMfx+15CwsLodVqUVnpmWlTWVmJkpISv/cxGo1xyUkML/xcjMrFYVc+Z4HMO4vHW5pBC7PNgXar2yhfiPvodRrAYg+6A2G4jp1Q8qV65KVFbdfWU3vnYsbIEvx3ewUGdMvA7ecMwH0fbsPn28rx6CUjkGEM/hHpSF0rVjl33OuVn4YjdW3405e78dLPxsFss+MrZ76UyGECgEHOwlRZXSvaLHaPHLFYaWy34t/OMb6rz+jt8/Opw5yFqd1VeOhHw9Xrv93nzJca2LnsR0mScOHIEry0Yj8WbyvHuYO7qUWkGSP9/3uMxPDSbPzxJ6Mx96PvYbE5cP+FQ4PmVWYadZg8pBu+3FGJN749qGaAXnRKd/WkoD/zLhmJTKMOaw7U4uxB3YIWvyJx3tBi/PmqMXjuqz0w6bX47cXDMLJHTtD7SJKE6yb0xXUT+vr87NFLRmD57mqs3leD74824JSewR8rGWzevBmbNm2C3W7HkCFDAAB79uyBVqvF0KFD8eKLL+LXv/41Vq9ejeHDh4d4NEVLSwtGjx6Nm266CZdffrnPz5955hn85S9/wZtvvol+/frhd7/7HaZPn44dO3bAZIpOV2akGH5ORKks7MKUMGnSJEyaNCkWazlpicyKSApTaXrX2XHvjCnvy/4s26WEis4M0JZORBRrgwYNQnl5OYqKlJbIK6+8En/5y198RuyizWAwYNy4cVi6dKl6htzhcGDp0qWYPXt2TJ87FDVjKsiBR5ufjClX+Hl0d+VzdUwFL/ak6bWohxVtFoffcHZ/RBdWNPJSjjp3IOsRhXwpQZIkvHDNqThyohU9ctOg1Uj489K9OFbfhg2HT/js6Obtix+Urp8z++dj3iUjceGfV+G/2yuwqewEqpvMaDLbUJRlxDi3MfXCTAPynOHb+6ubQxYgImW1O/Df7RVoarfi/OHFKMoy4R/fHUaLxY5BRZmYNNC3+2nSoELoNBIOVLfgUE0L+hZmoLrJjB3lSg7WRD/3idTMUaV4acV+fLmjAvIHMlotdgwtycKYXrmdfmwAuHRMD0wbVgybXfYJSffnlrP748sdlepIniQBt53TP+h9DDoNfntxeEWRSF06pgcuHdMj9A3D0DMvHZeMLsXHm4/hlW8O4K9Xj43K48aS6IZ64403kJ2tdPk3NDTglltuwaRJk3DrrbfimmuuwT333IMvvvgirMecMWMGZsyY4fdnsizj+eefx0MPPYRLL70UAPDWW2+huLgYn3zyCa666qro/GIRcs+XJSJKNRG10qxZswaff/65x3VvvfUW+vXrh6KiItx2220wm81RXeDJQHRMhbsjH+A6CBFnqN2FesOy2Bw4ckIZLRgdpQ99RESR8t40Y/HixWhpaYnLc8+ZMwevvvoq3nzzTezcuRN33nknWlpacOONN8bl+QPRO4s1wcLPzWrhx/UWnRbj8PNQnbVpbl287TbRMRUqY0o5yIrGWMpRZ8dUz7zwsp/CpdFI6FOQAZ1WA0mScKaz02btgdqQ9113UNlZ77yhRRhSkoUrnNlND3y4Dc99pWT//N+pPTx2opUkCYOKlK6p/dXRzZlyOGTc+Y9N+OW/NuO3H2/HpKeX48Y31uHPX+8FANxx7gC/3WbZJj3O6KeMSImTWt86xxtHlGajMLPznYTDS7MxbVgxHDLwxQ9Kt9SsKQOj1v0GABlGXVhFKQA4o18+rhnv6h77xZSBajfbyeDmSf0AAEu2l6OqqT3BqwntD3/4Ax5//HG1KAUAOTk5ePTRR/HMM88gPT0dDz/8MDZu3BiV5zt48CAqKio8NsjIycnB+PHjA26QAcR+kwyDM+Cdo3xElIoiKkw99thj+OGHH9TL33//PW6++WZMmzYNDzzwAD777DPMnz8/6ovs6jo2yudqZqtp9twlKFTHVEVDO2RZyeIozIxOFgcRUVdy5ZVX4o9//CMefvhhjBkzBlu2bMGSJUti3q0Vii6MYo2/cHHRRet9oqKzxJidPkj4ufvzt1ntauEsnPBzIEodU86TLT3zotcx5c94Z4Fmk3PzkGC2HW0AAIzppXREPTBjKHLT9dhT2YxdFU1I02tx08R+Pvfr4wxWL3NmU0XLou/L8fXOSug0EoaWZMFid2D57mqYbQ6cN7QIl58auCPnPOeuuMt3K4UpUaA6e1DwrrFIPH3FKRjZIxuSBNxwVl/8yG3EMRGeuHQkXrv+NPzzlvG4J0pjecliZI8cnNo7F1a7jHfXHUn0ckJqaGhAVVWVz/XV1dVq8Sc3NxcWS+S7ZvpTUaF0O/rbIEP8zJ/58+cjJydH/Yp2DqFex44pIkpdERWmtmzZgqlTp6qX3333XYwfPx6vvvoq5syZg7/85S94//33o77Irk7kF0TSMWXSa9SttsVOREKoN6yj9cqH3R650cviICKKlCRJfrc7j5fZs2fj8OHDMJvNWLt2LcaPT3wQsBiZs4WTMaXzLUy1WaN7wCKKRuGM8ilrs7tGDfXBP0KEM7YYrmNqx1RsC1PDnZuF7K5o8un4c1fV2I6KxnZoJGBkD+U+hZlGvHDNqSjMNCLdoMVzV45BcbZvVk1v5w53ZXXRLUy9tvogAGD2eQOx5O5z8OGdZ+GGs/rioYuH4aWfnRr0394UZ2HquwO1qGhoV/OxAoWBd0RhphGfzZ6EHfMuDBnuHQ8ajYSpw4oxcWBhwtcSCyJ/6p21ZVH5NxhLl156KW666SZ8/PHHOHr0KI4ePYqPP/4YN998szqOvW7dOgwenNgC4ty5c9HQ0KB+HTkS3aIfw8+JKJVFlDF14sQJj7MLK1eu9JjfPv3006P+In0yEB1T2RF0TEmShEyDDk1mm7obkWC2BT9j7h4SS0SUKLIs44YbblBDxdvb23HHHXcgIyPD43YfffRRIpaXEGr4eZBA8DaL2PXOd5SvPcGjfG1WuzpOGCpjSh/NjKkYjfJ5G1iUCY0EnGi1orrZjKIs/yHIW53dUoOKsjw6nCcOLMR3c8+DQw4cKN+7IPqFqWP1bdhypB6SBFw7vg8AYFyfPIzrE95mNP0LMzCkOAu7K5twzh+Ww2JzoG9BOsZGOQ5AkqS4BL4TMOOUEjz+uQEVjUqhccYpie1QC+bll1/GPffcg6uuugo2m5Kjp9PpcP311+O5554DAAwdOhR///vfo/J8YhOMyspKdO/u+nOprKzEmDFjAt4v1ptkMPyciFJZRB1TxcXFOHhQOSNnsViwadMmnHnmmerPm5qaoNeHX3xJFWrHVFpkY3WFWcqb32Gvdv9QHVPHYhASS0QUqeuvvx5FRUXq2MPPfvYzlJaWeoxC5OQk/45R0RROx5TZzyifyW2ULprCHeUzuW3I0WJWDhwzQ+xaJ8ZSghXhwlqj3YGKRuUETaw7pkx6LfoWKIXTPRWBM6B2HFfGi/yFl+u0mqC7HPZydkwdiWJhaqlzl7vT++ajW1bkB86SJGH2eQMBuD5j/OK8QSdlJ1GqMOq0uOoMZdTsrTWHg97WESTzLh4yMzPx6quvora2Fps3b8bmzZtRW1uLV155RT2RMWbMmKBFo0j069cPJSUlWLp0qXpdY2Mj1q5diwkTJkTlOTpCjD9bbIn9/0FElAgRdUxddNFFeOCBB/D73/8en3zyCdLT03H22WerP9+2bRsGDBgQ9UV2dQ1tykx8JKN8gLJ7z8GaFiz+vtzj+lAZU0fqWJgiosR74403Er2EpCMOPGxBijXiNd7oVtxIi1FhyjXKF/w8ldiQo9Xs6pjKCFGYEo8ZrAgXjvKGdtgdMgxaDbpFIYg7lMHFWThQ04JdFY2YNMj/jnQHapSi1cCizIgfX4zylTe2w2yzwxgiRD4ca51B7OcEWG84fjSqOw7VtOCfa8sw45QS/N/Y6OwSR4lzzfg+eGnFfqw5UIs9lU0Y7BbwvreyCX/6cg82lp3ALZP64fZzE//5PTMzE6NGjYrKYzU3N2Pfvn3q5YMHD2LLli3Iz89H7969cffdd+OJJ57AoEGD0K9fP/zud79DaWmpOjqYCBzlI6JUFlFh6vHHH8fll1+Oc889F5mZmXjzzTdhMLi6gF5//XVccMEFUV9kV9eR8HMA6llP792bth1tQJZJFzCU9FCtsutV38IMvz8nIqLEcIWfBy7WiI4V966bSEb5th9rwOvfHsSvpg5Cn4Lg7wMieybc8POaFlfmYciOqSjtyqd2AeeleexwFyuDS7Kw5IcK7KlsCnibgzXK+2z/bpG/zxZkGJBu0KLVYsexE23o3y3y4pY7WZax4ZBSmDqtb36HH0eSJPxi6iD8YuqgTq2HkkeP3DRMG1aML3dU4u01h/H4ZSMBAMt2VeIX72xGi/P1ZE9ldHeITAYbNmzAlClT1Mtz5swBoHTyLly4EPfddx9aWlpw2223ob6+HpMmTcKSJUtgMvkf340HvRjlY/g5EaWgiApThYWFWLVqFRoaGpCZmQmt1vMs37///W9kZnbuA9bJyDXKF1lhqne+5wfeSQMLsXpfDRas3I8FK/fj/dsnqFs8uzvk/MDcj4UpIqKkole7iAIfeIh8kY52TN3wxjrUNFvQ3G7DK9edFvS2omgUqmNKFMaqG83O20se6/NHH6Wz/0fjFHwuDHAWm0TxyZssyzhY7SxMdeB9VpIk9M5Px66KJpTVtXa6MHX0RBsqG83QayWM7pnbqceik8/1Z/XFlzsq8f6GI/jJaT2x9WgDHvl0OxwycGb/fPxm+hAMKclO9DKjbvLkyUE3MJAkCY899hgee+yxOK4qOHZMEVEqiyhjSsjJyfEpSgFAfn6+RwcVKepFx1SEo3yXjC6FQadBlkmHdQ9ORXaaZx3xh+MNPvepampHbYsyOsiOKSKi5KLuVBck08Xs3HnPoPXdlc/mkIMetFQ1taOmWXkP+HJHZdADM8BtlC9Ex1SWSXn/KnduxpFh1IXMH1KD3js5ynf0hJLFFK/CVP9CpVAUqDBV3WxGk9kGjeQKMo9UNHOmNh4+AQAYUZrDYHHycdaAApw7uBvMNgcu+du3+N0nSlHqJ+N64u2bx2Ncn/yQ3Y8UHwZnLh/Dz4koFfGdKMZkWcYJZ6EoLz2yot3w0mxs/t35SNNrodFI6pmUYL7ZUwMAGFGazQ8aRERJRhRrguUuiYMS91E+k8H1fZvVrnYjedvnNZJT3WRGUXbg0RSRdRXq/SXbpLyflDco3UvhvL8YRBEuSh1T8cpN7FuoFI1qmi1oaLP6jOGLbqmeeekdzocSOVPR2JlvZ7kSxH6KnyB2IkmS8JerxuJX723Git3VSDdo8YvzBuGOc/sz3D7JuMLPWZgiotTDykWMNZtt6pnxSAtTgGe4rDhjLTS22TwuN7RZMf+/OwEA5w72nz9FRESJoxe78gUJP7f4CT83aDXQSIBDVnKmsk3+O3APee3iWtHYHrQwFW7HlHi+42rHVOiCjBgPtHZyx69j6ihfx7qTIpVl0qNblhHVTWYcqmnB6F65Hj8/GIVx+WgWpnY4C1PDup9841gUHTnpeiy88QycaLEg3aiNSuA+RZ84QcCOKSJKRR0a5aPwiXwpk17T6Rb7Qq/diOqdu/0Ja/bXoKbZAoNOg5sm9evUcxERUfSFM97mL/xckqSwcqZER5NQ1WgOcEuFTS1MheiYco6Si7WF2pFPeUxn+Hknz/4frY/vKB/gKjr5G+eLZmHqcG00OqaUkPah3bNC3JJSXV6GgUWpJCbCz5kxRUSpiIWpGKvr4BifPwWZno/R4Cx6CVuOKJlTV5za06eIRUREiefKmPJ/4CHLst9RPsAVQB6sMFXT7FmIqmoKUZhyrkMfYrc7747d8Eb5NB7P0RFWuwPl9UqXVrw6pgBXqPkBP4Wp/c5RvgEd2JFPcM+YCpUDFkx1kxk1zWZIEjC0hIUpoq5MDT+3da7LlIioK2JhKsZOtCqFqdwoFKZ8O6a8C1NKAOqYXsyZICJKRjoxyhegY8p9hMO7MGUSHVOWwIWp6ibPTtqqpvag67GG2zHlVZjKMETQMdWJ8POjJ9pgc8hI02tRnB2/Ey6iG+qQ346pZudtOr6bXs+8NEgS0GKxqxuWdITIl+pbkIH0MP6fEFHyEq/5HOUjolTEwlSMiVG+/IzIduTzx/tsaH2r68Os3SHj+6NKx5R3HgYRESUHNXcpwIGH2W3szTuQPJxRPtExJfKGQnVMiXUEClMXvHeFDW+Ur/NjKaIw1KcgPa5BzYFG+Wx2h5oL1a8THVMmvRYlzuyvzozz7VTzpdgtRdTV6dWOKRamiCj1sDAVY2KULxodU30K0j123XHvmNpX1YwWix3pBi0GFfEDKhFRMtKro3wBOqaCFaaco3ztYRWmlPeB0BlTojAV2ShfXnroky2GMHYgDOVAFPKcOsK9MOU+anf0RBusdhkmvQbdg4TKh8MVgO7blRUutTBVwuBzoq5OdEyZ2TFFRCmIhakYE11N4XyID0WSJPz7jgl448bTAbgyplbsrsJzX+0BAIztnQttiKwQIiJKDF2IYo0afK7VQOP1Wu4a5QucTyUKU+IERaPXyLc3sWOe6OQKJMvk2SGVnxn6ZIsYW4xGx1S8C1O9C9IhScrOutVuuV2ig6pvQYbP/59I9SlwFqZq20LcMjARfM4d+Yi6Pr3W9ZrZmew5IqKuiIEEMXZCjPJFoWMKUA5MRjm7pupaLdhypB43vLFe/flZAwqj8jxERBR9oYo1/nbkE0KN8rVY7Gi3KvcXhZzG9uCFKdExpQvRMaXXapBl1KHJbAMAFGSEUZgKYwfCUA7VOgtBcS5MGXVa9MxLw5G6NhysbkFRltIdJTq4+ndijE/oU6A8xuEOdkyZbXbsr1byroaVsjBF1NUZtcprvCwrER2hXpeJiE4m7JiKsboohp8LBZlGlGSbIMvAr9/fol5v0mtwxak9o/Y8REQUXXp1p7rg4ecdKUyJ7iiDVoOSHKWQ0tRuC7oe0bkVapQPgPqYgO9mHP4YQuxAGI79VSJoPL6FKeU5lXBz95wpV/B559ejjvJ1MGNqb2UzbA4Z2SYdSnM6N1ZIRImn17lehxmATkSphoWpGFNH+aIQfu7uwpElAFzbVgPAi9ee6nHgQEREyUWnDbNjyk8YuZoxFWBXPlGEyjTp1NG7UB1TljDDzwGge26a+r3o9gmms+Hn9a0WHG9QdhUcUhL/7MT+fgLQD6qjhR3fkU8Qo3yH6zpWmHIFn2fHNRieiGLD/XXYauMoHxGlFhamYqyuRTkoyItixxQA/PbiYTijbz4AQJKAL+85B+cNLY7qcxARUXTpnVlO9gAdU2abUnTy1zFlCtEx1WxW3m+yTDpkO8PKm802OAI8F+DqmNKFUZjqne8qTPVy+z4QVxGuYwdYO5yFl175aervE0+iK+qAW2HqQHX0Mq/65CuPUd1kRrM5eGebP8yXIjq56DQSRI3ZbA+8yQUR0cmIhakYc4WfR7cwpddq8PLPx+GXUwfhtetPw+Bi7sRHRJTsRLEmUPi52dkxZezAKJ/aMWV0dUzJMtBsCVz0EGN2+jCCvG+c2A89ctMwd8ZQGHXakLd37crXsY6pHceVwtTwBBVe+nl1TLVabCh3dnANiELGVE66HkVZykjk3sqmiO8vOqYS9edDRNElSZLaNdWZbD4ioq6I4ecxdiJGhSkAyMswYM75g6P+uEREFBtqF1GA3KWg4ecG5bq2AKN8ousm06iDSa+FQauBxe5AY5s1YMeRNYKOqQHdMvHtA+eFvJ3gCnrvXMfU8O45Hbp/Z4nC1OHaFtgdstotlZeuj1pu5JCSLFQ1mbGnsglje+eFfT9ZlrGzwjXKR0QnB6NWA4vNAauNGVNElFrYMRVDbW47JEU7Y4qIiLoenXOUT+y65C2cXfnaQ3RMiW6p7DSdx/X+WNWMqehnFOl1ncuY2nKkHgAwIkE7zpXmpsGg08Bql3HsRJvawRXNQtAQZ7fzrgrfjqkjda14f/0RHPGTQXX0RBvqW63QaSQMKu583hURJQfxusnwcyJKNQkvTL3wwgvo27cvTCYTxo8fj3Xr1gW9fX19PWbNmoXu3bvDaDRi8ODBWLx4cZxWGxnRLaXTSMg0sjmNiCjVuW//7a9go+7K56eDKWTGlFqY0nv8N1hhyrUrX/Q/Dog8rUA7EAZT0dCOA9Ut0EjA6f3yo720sGg1Evo6A8r3Vze7dXBFrzA12BnqvsdrlG/tgVpMe3Yl7vtwG2b8+RtsLjvh8fONh5XLI0qz1b8XRNT1iZMEFnZMEVGKSWhh6r333sOcOXPwyCOPYNOmTRg9ejSmT5+Oqqoqv7e3WCw4//zzcejQIXzwwQfYvXs3Xn31VfTo0SPOKw9PbbNSmCrINHDHHCIiUos1gP+CjdkabJTPWZgKtCuf2ygfAGSLnfnaAu/MJ0YKdWFkTEUq1A6EwazYrXwOGNkjBzlpies4Ft1Rm4/UY+vRegDAiB7R75jaWd4EWVb+PlhsDvz631vVvLFmsw13v7dFDcYHgA2H6wAAp/VNTNGOiGLDwI4pIkpRCS1MPfvss7j11ltx4403Yvjw4ViwYAHS09Px+uuv+73966+/jrq6OnzyySeYOHEi+vbti3PPPRejR4+O88rDU9NsBgAUZhoTvBIiIkoG7h1T/kLBxcFIR8LPRcdUprMglW5Q/tsSLPw8lh1T2o6P8n2w8SgA4MKRJVFdU6TOcHZrLdtViW1HG5zXFUTt8Yd2z4JBp0Fdi0UNWX9vfRmOnmhDtywj1j04FUVZRhyubcV764+o99twSOmYOq1P+LlURJT81NdNdkwRUYpJWGHKYrFg48aNmDZtmmsxGg2mTZuGNWvW+L3Pf/7zH0yYMAGzZs1CcXExRo4ciaeeegr2JN1StdpZmCpgYYqIiODZmeQvFNyi7srnO54VOmNK6YwSHVPpITqslDU4O6ZikTGl7Vj4+ZLtFdhw+AR0GgmXj+0Z9XVF4sz+ShFq+7FG2B0y+hVmoEduWtQe36jTYmyvXADA2oN1aLPY8Zdl+wAAvzxvIIqyTZh93kAAwN+W7UO71Y6KhnY1k4odU0QnFwN35SOiFJWw4KOamhrY7XYUFxd7XF9cXIxdu3b5vc+BAwewbNkyXHvttVi8eDH27duHu+66C1arFY888ojf+5jNZpjNZvVyY2Nj9H6JEFwdU9HfkY+IiLoeSZKg00iwOWTY/OzMFyz83GQI0THlHOUTI3xi9K81jMJULDqmRNC7v86wQNYeqMWv3t0MALhpUj+U5Jiivq5IDOiWiXF98tRMpxkx6OCaOLAQaw/W4b/bK3Ci1YLqJjN65qXhytN7AwCuPL0XXl55AMfq2/D6twfVAuW4PnnolsUTX0QnE9coX3KedCciipWEh59HwuFwoKioCK+88grGjRuHK6+8Er/97W+xYMGCgPeZP38+cnJy1K9evXrFbb2i1Z6jfEREJIjuJJu/jqkg4efqKF+AQpMoTLlG+YIXsgBXzlVsd+UL78x/Q6sVt/9jI8w2B6YOLcK9FwyJ+po6Yu6MoSjNMWFUzxzcdk7/qD/+JaNLAQCr9lTjmSW7AQBzzh+sHqAadVr8+oLBAIC/Lt2HP36h3GbmqO5RXwsRJZY4SWCxsWOKiFJLwgpThYWF0Gq1qKys9Li+srISJSX+z0h2794dgwcPhlbrGnEYNmwYKioqYLFY/N5n7ty5aGhoUL+OHDni93bRdrCmBct2KeGtvfKi1/ZPRERdmwhA95e9ZA7SMeUa5fPfgSR238s0KmHhImOqNYyMKZ0mFrvyRRZ+/uaaQ6hvtWJQUSZeuPZUv38GiXBa33z8b+5U/Gf2JOSmR78Dum9hBi52KzJN6F+Ay8Z4bupy2ZgeOK1PHtqsdrRY7CjKMqodVUR08hAnJRh+TkSpJmGf+gwGA8aNG4elS5eq1zkcDixduhQTJkzwe5+JEydi3759cLiNP+zZswfdu3eHweD/w6LRaER2drbHVzzsOO4aGRzVMzcuz0lERMlP7Zjytyufc+e1oLvyhZkxFckoXywypnTOAyx/v6c/i7aVAwDuOHcATHrfjK2T2e+vGIVbz+6HWyb1wyvXjYPGa5dEjUbCK9edhktGl2LiwAK8dv3p6v9fIjp5qJ2mDD8nohSTsIwpAJgzZw6uv/56nHbaaTjjjDPw/PPPo6WlBTfeeCMA4LrrrkOPHj0wf/58AMCdd96Jv/3tb/jVr36FX/ziF9i7dy+eeuop/PKXv0zkr+GX+7bOo53BpkRERGrBJkj4ebCOqVCjfFlilC/E7QH3Ub5Y7MoXfsdURUM7dlc2QZKA84YWRX0tyS7TqMNvLx4e9Db5GQb85eqxcVoRESWCoRO7mRIRdWUJLUxdeeWVqK6uxsMPP4yKigqMGTMGS5YsUQPRy8rKoHEbL+jVqxe++OIL3HPPPRg1ahR69OiBX/3qV7j//vsT9SsEJA4QLjolsVtdExFRchEjbsHCz43+ws/1ro4pWZYhSZ5dNc3tXoUpZ+dUS7COKVvsws/1ERxgbSpTMhmHd89GXgY3DCGi1GTQKa/rHOUjolST0MIUAMyePRuzZ8/2+7MVK1b4XDdhwgR89913MV5V54msjyxn1gcREREAaNVOogg7ptxGt8w2h8e4m90hqwUoMcqnhp8HyZiyOotjOk0Mws+DdIZ5213RBEApTBERpSpX+DkLU0SUWpIjWfQk1CiyPkwJr/0REVESEeHnNj9nxIPtymdyK1Z5j+eJLl3Ad1e+YBlTomgUi44pXQSjfHurlMLUkJKsqK+DiKirYPg5EaUqFqZipFndHYmFKSIicgkWfh5slE+n1agHLd4B6KIwZdBpYNQpBSmRSRWoMCXLsrqGWISfu3YfDN0xtaeyGQAwqJiFKSJKXa7w8/A2jSAiOlmwMBUjTV5ZH0RERACg0wTOXjIHGeUDAJM+QGFKHR93veekG5TvA4WfuxeMYpIxpQucpeVOlmUcqWsFAPQtSI/6OoiIugqGnxNRqmJhKka8d0ciIiICXLvVBduVT3Q9eUsz+N9pr9nsOz4ubttq9Z8x5V4w0segY0rn1jEly4HP/p9otaoFuZIcU9TXQUTUVYiTEhzlI6JUw8JUjDQ5M6ayTAw/JyIiF50IBQ+yK1+gjikxntfu1THV6Gd8PD1AEUtw75jSaWKxK5+r2OVvbFE4Xt8GAOiWZQxYkCMiSgXidZPh50SUaliYipEmZkwREZEfYgc8f9lL5iDh5wDUnfgCjvKZfAtTgTKm3MPXY9Ex5T4eGGxnvmPOwlRpblrU10BE1JUYtMrrNjumiCjVsDAVI8yYIiIif/Sd6ZgKOMonTobofW9rtfsdpRNdTFqNBEmKwSifW7Er2EGW6Jgq5RgfEaU4kc1nZccUEaUYFqZihBlTRETkjyjY+O2YsikFp1CjfOF1TCnfyzLQbg1cBItFtxTg2pUP8OzO8lbdZAYAFGUZY7IOIqKuguHnRJSqWJiKAVmW/Z69JiIiEnlOdj+5Sx3NmBK5hu7j4+K2ANBq8Q1AFx1T+hjkSwGARiNBqxE78wUe5atttgAACjNZmCKi1MbwcyJKVSxMxUCb1a4ecGSyY4qIiNy4duUL3MVkDFCYMgUY5Wvy06Wr1Ugw6ZXH8ZczJZ5fF6OOKcCVpxUsyLe2RemYKmBhiohSnBj1ttgCF/OJiE5GLEzFQEObcuZaq5GQYeAOQ0RE5KINEn4uzpIHKky5Rvk8Cz1ilM/7ZIgY5/Me/XN/fl2AoPVocOVpBT7IqnF2TBVkGmK2DiIib48++igkSfL4Gjp0aELXJEb52DFFRKmG7TwxIApTOWn6mATKEhFR1xVW+LnW/0mNgBlTomPKaydYcfsWs+8on8gw0Wti9z4VrDtMEB1ThSxMEVGcjRgxAl9//bV6WadL7KGR3nlSguHnRJRqWJiKgYZWV2GKiIjInS5Yx1SYu/J5Z0ypuYZeHVOu2/se5IjCmD7Ac0WDLoyz/yJjqiCDo3xEFF86nQ4lJSWJXoaK4edElKo4yhcDomMqm4UpIiLyIoo1Nq/ClN0hqyNvgQpTJr3/jKlGsSuf14YbgcLSAbdRvhh2TBkC/K5Cm8Wu5l/ls2OKiOJs7969KC0tRf/+/XHttdeirKwsoesx6Jy5fCxMEVGKYcdUDNQ7C1O5LEwREZEXdbzNa5TPPSA81K58PqN8Ylc+r44pEX7urzAlikX6GGZMiWD1QGf/69uUbimdRvIZQyQiiqXx48dj4cKFGDJkCMrLyzFv3jycffbZ2L59O7KysnxubzabYTab1cuNjY1RX5MY4w62YQQR0cmInwJjoKbZucNQBs/+EhGRJ51GjGp4dhG5H4gEDj9Xrg+UMZVp9C5M+S9kAYDVEb9d+fyNLQKeHcbMZCSieJoxY4b6/ahRozB+/Hj06dMH77//Pm6++Waf28+fPx/z5s2L6ZrEiQt2TBFRquEoXwxUNrQDAEpyTAleCRERJZtAgeBmu1I8kqTA43VqZpTFu2PKOcrnnTEVrDDlLITFsmMqWNA7ADS2KetmJiMRJVpubi4GDx6Mffv2+f353Llz0dDQoH4dOXIk6mtQw89ZmCKiFMPCVAyUOwtT3VmYIiIiLzp1lM9/x5RBqwnYPeSvA8rukNHiLFRlmfT+b2/xM8rnfH69JvaFqUAHWWrHlIkN3ESUWM3Nzdi/fz+6d+/u9+dGoxHZ2dkeX9Emcvk4ykdEqYafBKNoc9kJ/HC8EV/uqAQAFGezMEVERJ5co3z+M6YC5UsB/jugxBgfAGQYtX5vb/ZzkCOeP6ajfNrgo3yN3CyEiBLk3nvvxcyZM9GnTx8cP34cjzzyCLRaLa6++uqErcmg8z/qTUR0smNhKkpqms34vxf/53Fdj7y0BK2GiIiSlWuUz/PAQxSPAuVLAa5RPvcOKFGYMug0MOq0IW8viOfXxWOUL0TGFEf5iCjejh49iquvvhq1tbXo1q0bJk2ahO+++w7dunVL2JpEx5SVHVNElGJYmIqS6iazz3WDinx39CAiotSm1YjcJf+jfN7FJXeiA8p9lz01X8rPrnbBws9F7pM+QJ5VNOhD7MrX2M6OKSJKjHfffTfRS/AhMqbMzJgiohTDjKko8T4b/NPTegYdxyAiotSkdkx5BYKLXZiCvXf4KzQ1OYs73sHnyu2Vx2r3U5iyON+3Yhl+HmhsUWDHFBGRi3sxX5Y5zkdEqYOVkyhpt3l+6P/RqNIErYSIiJKZ2HHP+4SGe/h5IP5G85qco3yZfgpTwXbls8UhY8oVfh4oY0pZe7aJhSkiIqNWec2WZd+uWiKikxkLU1FitnqeDc7PMCRoJURElMx0AXaqiyT8vN3tPUeM8mX6GeUThSx/HVO2OHRMBeoOE9gxRUTkote5ThQE6jQlIjoZsTAVJWavjikWpoiIyB9XscY7/Fx5Hwkafu4sTFnsDrXjSYSfZxp9izvq6J+f8HOrs1iki2nGVKiOKZExxchLIiL3jlmrjR1TRJQ6WJiKEu+tuFmYIiJKjCeffBJnnXUW0tPTkZubm+jl+AiUu2QOp2PK4ApGb3fePnjGlG+HlSAOevQxzEPUhRl+zo4pIiJAq5EgOc8VmO2+JxSIiE5WLExFifeYhDgYICKi+LJYLPjJT36CO++8M9FL8UsUawJmTAUpFLl3U7ValE6ppnaR0xRhxlQ8duUTOxCGCD9nxhQRESBJUshOUyKikxF756PEu2OKiIgSY968eQCAhQsXJnYhAYiDDu/cJfE+EmyUT5IkZBi0aLHY1fE81zicb3HHlUnlZ5TPedCji2XGlE50TIUa5WNhiogIAIxaDSw2h3qygogoFbBjKkrMfj70ExEReROZTt7FGlfHVPCOW7H7nuiUamwPvLNdmkF5m/cffh77XfkCjS0CgMMho8VZXPM3hkhElIrEeDXDz4kolfCTYJS0u53VePe2MxO4EiIiipTZbIbZbFYvNzY2xuy5OtMxBSi771XCrIaeBwsQN+qCjfI5M6Y08diVz7djqsU5igj431GQiCgViQB0dkwRUSpJio6pF154AX379oXJZML48eOxbt26sO737rvvQpIkXHbZZbFdYBjMzmDZa8b3xpn9CxK8GiKik8sDDzwASZKCfu3atavDjz9//nzk5OSoX7169Yri6j11JmMKADKdnVHNzk4pkdPkL0BchKX725XP4jwbr4/lKJ828Jn/FrOyJq1GClmMIyJKFeI9gDEhRJRKEn6K8r333sOcOXOwYMECjB8/Hs8//zymT5+O3bt3o6ioKOD9Dh06hHvvvRdnn312HFcbWDjbfBMRUcf8+te/xg033BD0Nv379+/w48+dOxdz5sxRLzc2NsasOKXV+N+pzuLcgckQolCU5ewuUjum2gMHiKcF2ZUvLqN8QQpTYv3pBi0kKXZrICLqSoxqYYoxIUSUOhJemHr22Wdx66234sYbbwQALFiwAIsWLcLrr7+OBx54wO997HY7rr32WsybNw/ffPMN6uvr47hi/1wjGNyNj4go2rp164Zu3brF7PGNRiOMRmPMHt+d6CKye423ic5boz70KB8ANKmjfM6MKT8dU2KHWIvdAbtDVotigKtjSx/DwpTY8c+7OwwAWpzr5xgfEZGLeA9gxxQRpZKEtvdYLBZs3LgR06ZNU6/TaDSYNm0a1qxZE/B+jz32GIqKinDzzTfHY5lhEcGyphAHFEREFFtlZWXYsmULysrKYLfbsWXLFmzZsgXNzc2JXhqAIOHnzq4iY4iOKRF+3twefscU4BuAbnUWxnSxzJhynvm3+Bvlc2ZMZbAwRUSkEie5zX46XYmITlYJ/TRYU1MDu92O4uJij+uLi4sDZoWsXr0ar732GrZs2RLWc8Qr0JYdU0REyeHhhx/Gm2++qV4eO3YsAGD58uWYPHlyglblEjD8XO2YCrErnzrKZ4XV7kCrMz/Kf/i5q+jUZrV7FIGsNpExFctd+YJ1TCnrZmGKiMjFpOcoHxGlni7V3tPU1ISf//znePXVV1FYWBjWfeIVaBvubkpERBRbCxcuhCzLPl/JUJQCgoSfO7uKQmZMuXVMNbXb3K737ZjSaCT1IMc7AF3kPoUKW++MQEU4wH2Ujyd0iIgEtWOKo3xElEISepqysLAQWq0WlZWVHtdXVlaipKTE5/b79+/HoUOHMHPmTPU6h/PDrk6nw+7duzFgwACP+8Qr0NbsHJEIlQ1CRESpTYzO+YSfh7srn1vGVKNzR74so84jP8qdSa9Fu9Xhc/bdEsfClMXm2zElws8zDOyYIiIS1PBzKzumiCh1JLSKYjAYMG7cOCxdulS9zuFwYOnSpZgwYYLP7YcOHYrvv/9ezQvZsmULLrnkEkyZMgVbtmzxW3AyGo3Izs72+IqFdo7yERFRGMTonM07/DzM3V1FxlRTu82VL+Un+FwQOVNtFv+FMH2IDq3OULvDgnRMcZSPiMjFtSsfO6aIKHUk/NPgnDlzcP311+O0007DGWecgeeffx4tLS3qLn3XXXcdevTogfnz58NkMmHkyJEe98/NzQUAn+vjrd05IpFuYGGKiIgC04nxNrt3YSq8DqYcZxGqoc2KBtExZQr8dq4WpqwBOqZiWJgyBPhdAffCFN83iYgEsZsqC1NElEoSXpi68sorUV1djYcffhgVFRUYM2YMlixZogail5WVQRPDHYOiRXzgT2NhioiIgtCLXfm8w8/DLEzlpxsAACdaLGhsU4o7wTqmxEGO96584Y4OdobomPK3K18zw8+JiHxwlI+IUlFSfBqcPXs2Zs+e7fdnK1asCHrfhQsXRn9BHdDq3PY6LcRuSkRElNpEx5QsA3aHrGZDWcIcCc/LcBamWi040WoBAOQGLUw5w8+tAcLPYznKpxEdU76FKfG+mcmMKSIilbELdEz9b38NNhw6gZmjS9GvMCPRyyGikwA/DUZJu3ObbxamiIgoGNFFBCjFIa1Ged8It4MpXy1MWVHVZAYAFGYZA95edPImomPKoPOfpwW4hZ+zY4qISCU6prxfs5PF8l1VuOnN9ZBl4I1vD+KzX0xCz7z0RC+LiLq45J+R6yI4ykdEROHQue2e516wCTf8PDdd6Y6yO2QcqG4GAHTLDFKYUsPPvTumlOeOafi5RuzKFzj8PJOFKSIiVTJnTNkdMh77fAdk51vXiVYrfr9kd1j3rWpqx2Of7cDT/92FuhZLDFdJRF0RC1NRIMsympw7I/EDNhERBaNzy020u4WCq2HkIQpTRp1Wfa/ZU9kEAOgWpGMqUMZUuJlWnaELsAMhALQwY4qIyEcy78q3el8NDta0ICdNjw/vVHZQ/3zbcRypaw16v8Z2K36yYA1e//YgFqzcj2te/c7nZAkRpTYWpqKgyWxTzzyLEQsiIiJ/9O6jfG4B6OpoXRgdTHkZStfUnkqlY6owSMeUSd2Vz/Mgx+Ls0IrpKJ/zd7H6DT9XOqbSuSsfEZHKVZgKr3DzxQ8VeGrxThyvb4vlsgAAX/5QAQD40ajuGNcnH2cNKIAsA59sPhb0fq+sPIDDta0oyDAgy6TDroomvP7twZivl4i6DhamouCEsx01w6BVDwCIiIj8kSRJDTx3L9iIs+MirDwYsTOfEKxjSh3l8wk/V06oxDT8XCvCz/10TFk4ykdE5E1sgGG2hu6Y+v5oA25/eyNeWXUAt729AbLs+1obLbIs4+udlQCAacOV3dMvP7UnAOCjzccCPrfV7sC7648AAB6/bCQeu3QEAOC11Qf9jnkTUWpiYSoKap2FqTx2SxERURjUTiKb2yif2jEV+gRHSY7J43LQjKlA4edhjg52hs5PAU5QR/m4Kx8RkcroPDnRHkbH1GurD6jfbz/WiJV7qmO2rl0VTahsNCPdoMWE/gUAgAtHlsCk1+BgTQu2H2v0e7+vdlSiptmMbllGnD+8GDNHlaI424i6FguW7aqM2XqDsdgc+HpHJV5ZtR+fbD6GRmckCxElDgtTUSA6pjjGR0RE4RDFIIvddeAhOqaMYXRM9ch17YCk1UjonmsKeFuTnx2e7A4ZdkfsO6bE7+m/MMWOKSIib+F2TDkcslqIGlGaDQBY/H15zNa14fAJAMC4PnnqhEimUYepQ5Xuqc+2Hfd7v3fWlgEArjytF/RaDXRaDf5vrNJp9e8NR2O23kC++KECZz+zDLe8tQFPLd6Fu9/bgglPLcXbaw7FtOOMiIJjYSoK6liYIiKiCBi8wm0jLRT1LXQVpnrmpQXdWc9k8N2Vz71QpI9Dx5T3KJ/dIaujhRnMmCIiUomTE6HCz/dXN+NEqxUmvQa/mT4EALB0ZxUcfjabiIZNzsLUqb3zPK6fObo7AGDRtnKfws6hmhas3lcDSQKuOqOXev3lp/YAAHyzt0bNG4y1VosN932wFbe/vRGVjWYUZRlx8ajuGFiUiRaLHb/79Ac8/OkP6nsxEcUXT1NGgVqYSmdhioiIQhPFJ3Hg4Z6zEc5onTg7DgDDu2cHuaX/jCn3A55YdkyJgpl7yDvgypcCuCsfEZG7cMPPN5fVAwBG98zFxIGFSNNrUdtiwf7qZgwqzor6uja6dUy5mzykCBkGLY7Vt2FTWb3Hz/+1TumWOndwN/TMc51QGVSUib4F6ThU24pVe6px0Sndo75ed7srmjDrnU3YV9UMSQJuP2cA7jl/EIw6LRwOGa+tPoin/rsTb393GHWtFjz30zExHXMnIl/8FxcFda3MmCIiovCJM+KiIOV+AGIM48PwqJ656FugfMj/v7E9gt5WFKba3cZCPDqm3HYJjDa1MOXVMSXG+HQaKazfl4goVaijfCE6pvZWNQEAhnXPhl6rweheOQCA9YdORH1NVU3tKKtrhSQBY3rnevzMpNfifGcY+mdbXeN8Zpsd/96ojOpdc0Zvj/tIkqTe56sdscuZarfa8dele3HJ31ZjX1UzirON+NetZ+KBGUPVP2eNRsKt5/THX68eC71WwqJt5bjt7Q0eXcZEFHv8NBgFzJgiIqJIiC4li1fHlEZy7WQXjF6rwfu3T8Dnv5iEC0aUBL2tSe8bfu4KWtdAkmJXmNI5i152h+wx4iEKU+kGbUyfn4ioqxE7s3pvWOFtb1UzAGBgUSYA4LQ++QCADYfror6mTYfrAQCDi7KQbdL7/Hzm6FIASsaVGIVbsr0CdS0WlGSbcN7QIp/7nD9cee9atqvKbw5hZ1Q1tePZr/Zg0u+X4U9f7YHZ5sC5g7th8S/PxpnO4HZvPxpVilevOw0mvQYrdlfjylfWYJ/zz5iIYo/981HAjCkiIoqE6BJydUxFvkNeUbYJRdmBQ88Fk59RPksHnq8j3LOvrHYZBp1ShBI78jH4nIjIU7gdU6JoMshZmBrXVxmhEyN30bT1aD0AYKxXt5Rw9qBuyDbpUNVkxtoDtZgwoACvfqPsGHj1Gb39nnAZ1ycP+RkG1LVYsP5QHc4aUNipNcqyjA2HT+Bfa8vw2bbjaqdu9xwT5l40DDNHdQ95ImTykCK8ddN43PLmemw72oALnluJiQMLMax7NrTOzESdRkKaQYv+hRkYUZqDnnlpfh9XlmUcqWvD1qP1OFTTgjarHXZZhl6jgVYjQaeRoNVKcDhk1LdaUd9mRX2rFe1WOwozDSjNTcOg4kwMKsrCgG6Z6g67HWG22XGkrg3lDW2objKjoc0KEaUlyzKsdhlWuwNWuwNtFjtarXblvxYbrHYZ2SYdctMNyEnTI9OoQ4ZRB0lSTjI1tdvQ0GZFY5vyOzS2WaGRJBj1Ghi0Gui1Gmi1EvQaCZIkwSHLcMiAQ1ZOWDkcgAwZRp0W6QYt0gzKfw1aLVosyuM3m21os9jQbnWg3fnnqJEkaCRAggRJAjSS538l58/F7QDXZffb2R0yLDYHzDYHbA4H0vRaZBh1yDTqYNJrYdBpoNdK0EiSkgcqy5BlVzaoQxb/Vf4sNc7/t+LxZefv6n4b9++jkWjmcK7J4Xw88TtrJeXPXKtxXqdRrtdrXf9vlA0JJPV3VP5eaqCVJOfv6lrvz8/sE9udnGP2yClEFKbymDFFRERhcO3K51mYEgck0ZQWJPw8lmN83o9vtTvU31t0TDFfiojIk5oxFWRXPovNgWP1bQCAft0yAACn9lIKU4drW1HbbEZBpjHo8zS0WiFDRm4Yxy/bnIWpUT1z/f7coNPg4lGl+Ne6Mry0cj9aLXZsP9YIk16Dn0/o4/c+Wo2E84YW4YONR/HlD5UdKky1W+3YV9WMFbur8NHmYzhQ3aL+7NTeubhxYj9cOLIk6AYh3s7ol48v7jkHD328HUt3VeGbvTX4Zm9NwNvnZxgwumcOTumZiyyjDjUtZuwqb8K2o/U40WqN+HfyR5KAXnnpGFSUiZIck1qgMdvsaLc6YLE5IEOGJEmQnLcXhZSjJ9pwvKEN3HCQOuunp/VkYSrZiRedgkwWpoiIKDSDzv8oXyze8NWMKZtv+HmsO6Z0Gtfju+/M18zCFBGRX65d+eyQZdlvN05FQztkWSlidXMWoHLS9RjQLQP7q1v+v707j2+qzPcH/snSJF3T0tKNli5sZS+L1OL4A7VjYbijOFdEL8qil1GkI1CvA4wj1evMFBzl54gILuMyVxTUn8tcxgtChzp3tAiyyVKwCEJZukBLV7olz++P5KRNmrRJ2uS0yef9euUlOTk553l6Yp7km+/zfXDkwjXcmhbj8Byv/+MM1u04CaVCgd/dNQb3TE50uK/RKPDdhRoAwLgEvcP9lkwbgo8OlFoFcuZnJnc5oyR7dCw+OnABO4+XYc2/jIJS6fjHkqZWA/56+BK+LKnEuasNqKxrRkVds1XAJUijwr+Mi8O8jCSMTwx3eKzuxOkD8eeFN+B0RT2+On0F56saLecxCoGa660oqajDqbI6VDW0YM+pSuw5VdnpOAEqBUbFhWFEbCiCtWqoFAq0mTNt2owCbQYjlAoFwoMDEB6oQXhQALRqJSrrmnGuqhGnK+pRUl6H6sZWnK9qxPmqRrf7FKxRYVBEIKJDddAHBZizaQAFYM6aUUKjUkCnUSEoQI1AjRKBGjUClArUNbXh2vUWXGtsRUNzG+qbDQAEgs3ZU+GBAdAHBiA8KABhugAImF6/za1GtJr7KX0GUHTIYlKas6gAoFnK0jL/t7nNiBCtCqE6U5ZWkEYFbYASOrUKSqUCokPGkZSFJTpmDnX4r4D0eHumloAp60mtVECjVkKjVkKlVKKpxYD65jY0NLfheqsBbeaMKqM5S0ulNN0U5owklTk7SqU0BQUNQsBovr4Cpn2U5gwuldLOv9GzHwgFpOwxKTMMlr4JYWqPVE7BYJTuG9FqMPWr1WAKbEr7tRlN7TcY2/urUMDSb0/iJ8JecLW+GQAzpoiIyDlSZpRt8XNPFAK31CuxmzHl6al87R9iWjrUEJFW5eNUPiIia9L4YBRAm1HYzWyVsqUGhVtPI0tPjMAPlQ04dN5xYGrvmav4/efF5nsCv/n4KMYnhGNErP2V/H682oC6pjZo1UqH+wDA4Mgg5P18NH776TFzW8KxImt4l329eVgUQrRqXK5pwqHSa51W/JMcOFeNx94/ZOl3R6FaNTJSI/HTUdGYNS6+V8eVodEhlhpe9jS3GVB8uQ5HSq/h2MUatBkFQnVqDIsJxdhBeoyMC+1xJrQQAlcbWlBSXo+SijpcqW9BkEYFnVqJQI0KWrVpupkCsARpTMEYkzi9DsmRwYgK0bCmI/Vp/ETYQ60GI2qbTB+wWWOKiIicIRU/lwJS3siYkqPGlMJcr6DNKNBmbA9M1ZtrTAVre3/qIhFRfyb9mACYsoTs/YAgBWjiwwOttk8YHI7/d/ACDp2/5vD4z+88BcA0LaeqoRW7i8ux4e8lePnfJtrdX8qWGhUf1u2PGfffmIQpKQNw/moj/s/wgd2OMboAFW4bGY3PDl/C50cv2w1M7f+xCvPe+AYtbUbE6XWYe0Mixg7SY2CoFoPCAzEgWL6Ai1atQnpiONJ7kJ3VHYVCgagQLaJCtMgcYr9wO5EvYGCqh6obTfWllApAH9h5lQoiIiJb0od1aUqdlE2k8UAGU/uqfO2BIU+ez5ZaZQ5MdZjKZ6kxpeHHECKijjq+Lze3GWEvR+lSh4ypjqTi5EdKr8FoFJ2mxv1QWY9vz1VDpVTg8dtH4Gp9C3YXl2PHsTKU1zYhxs6CGlLh8/EO6kvZGh4TiuExjjOrbM0aG4fPDl/CZ4cvYeWMNKtg1rmrDfjlX75FS5sRt4wYiA3/NpGZtkQ+yvOfSH1cdYOpvlR4kMbj8y6JiMg3dCp+bg4aaQM8WPy81VSvBGifyufpjCmgfbpgx6l8jawxRURkl0KhsGRNdVy0oqNLDjKmRsSEIjBAhbrmNvxQWd/peZ8duggA+D/DohATpsOo+DBMSR6ANqPARwcu2D2XM/WleuKWtGjEhGlxpb4Znx+9bNle09iKRW/vR3VjK8Yl6PHKvEkMShH5MAameqh9RT5mSxERkXM6FT83B220HsyYAjpkaLV5L2NKCkxZFz+XpvLxSwYRyWvjxo1ITk6GTqdDRkYG9u3bJ3eT2hetaLUfmGqfymed4aRWKTHWHEA6VHrN6jEhBD45bApMzZ4wyLL9FxNN//7bd5dhq81gxPFLUmAq3MVeOCdApcT9GaaV+17ecxqtBtOKc7/8r29xprIB8Xod3pg/2fIjCxH5JgamekgKTEUGd70kKxERkUQKCHUqfh7ggcBUh6wo6df3FnOQyNPFzwFAbc4mbu1Y/LxZKn7OLxpEJJ9t27YhNzcXeXl5OHjwIMaPH4/s7GxUVFTI2q4g8zTnRgcZUxcdTOUD2qfz2daZ+vZcNUqrriNYo8Lto2It27NHx0KlVODE5VqcscmyOllWh6ZWI0K1aqRGBbvbnW7Nn2pave90RT0e/q8DuP+Nb/DN2SqEaNV4c9ENiLYzxZCIfAsDUz1UZa4xFRHMjCkiInKOFIBq8UIGk2kJaPPKfF4otm5LCn51DEzVt3AqHxHJb/369Vi8eDEWLVqEUaNGYfPmzQgKCsKbb74pa7s6TsG2p7LWtCJ4jL5zwGZCoqmA+GGbjKlPzNP4ZoyJs8o+igjW4KahUQBgNZUOAL45WwUAmJQc0aleVW/SBwbguX8dB6UC+PvJCnx7rhrBGhXeXHgD0mLDPHZeIuo7GJjqoWpzxhRX5CMiImdpVTbFzz0cKNLa1CvxZmBKOrfUV4DFz4lIfi0tLThw4ACysrIs25RKJbKyslBUVNRp/+bmZtTW1lrdPMWymqqdjKmmVgPqzO+hUSGdZ2xMNGdMnSqrtXxPaW4zWKbqSVP3OvqXsXEAgO020/n2nrkKALgx1fOrwWWNisG2hzPxrxMTsHBqMj5fdjOmpAzw+HmJqG9gYKqHqhiYIiIiF9nWmJKCNloPBYosX3LMv763enFVPq3adO6OgalG1pgiIplduXIFBoMBMTExVttjYmJQVlbWaf/8/Hzo9XrLLTEx0WNtkzKa7E3lu1JvypbSqJUI03V+D40O0yEtNhRGAew5ZZqSuPtEBWqutyI2TGc3yHT76BiolQqcLKvD6Yo6AIDRKLDPnDHljcAUANyQPAAv3DMeT98xGkmRnps6SER9DwNTPdRe/JyBKSIick6nVfk8nMEkfcmRCul6M2NKWl2qYxHfesuqfKwxRUT9w+rVq1FTU2O5lZaWeuxcQZbAVFunxyrrTIGpgSFaKBT2p9f9dJQp2LbrRDkAYMs35wAAcyYn2F1FPDxIg+kjBgIAPjSvznfwfDVqrrciVKfGmHhOpyMiz2JgqoeqG5kxRURErulU/NwctOm4gl5val/hyXoVwACV52qGSHTqzqtLNbRIxc+ZMUVE8oiKioJKpUJ5ebnV9vLycsTGxnbaX6vVIiwszOrmKV2tynel3vTdIyrE8XcPqbh5wckKFJ6qwNc/XIVSAdw7ZbDD59w9yZQB9vHBi2g1GPE3c72prJExUHshu5aI/BvfZXroaj0DU0RE5BqNzfQ2aYpdoIcCU1qbeiV9pcZUEGtMEZFMNBoNJk2ahIKCAss2o9GIgoICZGZmytgy56by2asvJRkzKAwTB4ejpc2IhW/tBwDMGhdvdxU/ya1p0YgK0aKyrhlv/O9ZfGTOnPr5+Di3+0FE5CwGpnqIGVNEROQqrc1UPimTSeuxjClz8XNpKp+lxpTnp9JJGVPNHTOmzDWmmDFFRHLKzc3F66+/jnfeeQfFxcVYsmQJGhoasGjRIlnbFdRVYEqayhfqODClUCiw5uejLVOp4/Q6PPmzkV2eU6NW4tHpQwAA63acRF1TG4ZGh2D68Gi3+kBE5Ap+IuwBIQRrTBERkcvai5+bvnRct0zl82zxc2laSKs5eylA7YWpfDYZUwajsPSXNaaISE5z585FZWUl1qxZg7KyMqSnp2PHjh2dCqJ7m+2CFR1VOpExBQDpieHY/qufYN/Zatw+Oqbb/QFgfmYSvv7hCnYXVyBYo8ILc8ZDaacmFRFRb2NgqgcaWwyWD9qRXczzJiIi6kgKTEljSJOHp/LZFj+3rALoxVX5pHM3dCjmy1X5iEhuOTk5yMnJkbsZVgLN05yvdzmVr/vvHkOjQzE0OtTp86pVSrz2wGR8d7EGCRGBTgWziIh6Az8R9oCULaVVKz32ZYKIiHxPe8aU9VQ+TxU/l6bTSb++S0EiT00dtDq3ZVU+Ux+l+lIqpcIypZGIiNp1PZXPXPy8i6l8PaFUKpCeGO6RYxMROdInPhFu3LgRycnJ0Ol0yMjIwL59+xzu+/rrr+Pmm29GREQEIiIikJWV1eX+ntSxvpSj5VqJiIhsaVW2gSnPTuXTaaTi5+bztXk2EGZ17gCp0Ls5Y8pcXypYo+LYSURkR/tUvrZOjzlT/JyIqL+RPTC1bds25ObmIi8vDwcPHsT48eORnZ2NiooKu/sXFhbivvvuw549e1BUVITExETcfvvtuHjxopdbDlxtYOFzIiJynbRSXXvxcw9P5ZNqTLVZZ0x5KhDWkZQVZZsxxcLnRET2dbUqX6UTxc+JiPob2QNT69evx+LFi7Fo0SKMGjUKmzdvRlBQEN588027+2/ZsgWPPvoo0tPTkZaWhjfeeMOytKu3VTMwRUREbpBWw7NkTLV5dmqd5df3FpvAlNrzGVNam8LrUmCK9aWIiOwL0li/Z0uaWg2oM7+HMmOKiHyJrIGplpYWHDhwAFlZWZZtSqUSWVlZKCoqcuoYjY2NaG1txYABAzzVTIe4Ih8REbnDtsaU9OXDU4Gi9jpP5uLnHq5pZX1uaSqf6Zz15i9VQQxMERHZZQlM2azKJ03j06iUCNPxPZSIfIes72hXrlyBwWDotCRrTEwMTp486dQxVq5cifj4eKvgVkfNzc1obm623K+trXW/wTaqmDFFRERucFT8XJq+0dt0NkuPSxla3p3KZzqnNDUlRMtFQ4iI7JHes22n8l2pNxc+D2F9WyLyLbJP5euJtWvXYuvWrfjkk0+g0+ns7pOfnw+9Xm+5JSYm9tr5OxY/JyIicpYUmGr2UvFzKeDV1GpbY0q+jKlgDX/tJyKyJ8j8/mg7lU+qL+WpFfmIiOQia2AqKioKKpUK5eXlVtvLy8sRGxvb5XOff/55rF27Fl988QXGjRvncL/Vq1ejpqbGcistLe2VtgMdpvIxMEVERC6QsohaDEYIITxe/FyaIni91TpDyxsZU7bTCFn8nIioa91N5RvI+lJE5GNkDUxpNBpMmjTJqnC5VMg8MzPT4fOee+45PPvss9ixYwcmT57c5Tm0Wi3CwsKsbr3FMpWPNaaIiMgFHTOVmlqNaGrzbM0nS8aUTfFzrTeKn6ulFQGtV+Vj8XMiIvsCLVP52qy2X5EyphiYIiIfI/unwtzcXCxYsACTJ0/GlClT8OKLL6KhoQGLFi0CAMyfPx+DBg1Cfn4+AGDdunVYs2YN3nvvPSQnJ6OsrAwAEBISgpCQEK+23ZJOG8LAFBEROa9jZlRtUysMRgHAc8XPpfNJtaW8O5XPPG3RfM76ZtN/g1hjiojIrvbp10YYjQJKpamelJQxFRXK7x5E5FtkD0zNnTsXlZWVWLNmDcrKypCeno4dO3ZYCqKfP38eSmV7YtemTZvQ0tKCu+++2+o4eXl5ePrpp73ZdFSYA1PRYfbrWxEREdmjUiqgVSvR3Ga0ZN8CgE7jmURmS/FzKWOqzXtT+aRaKQ3mX/6lDIAQ1pgiIrKr41Tn+pY2hOkCAACV9cyYIiLf1Cc+Febk5CAnJ8fuY4WFhVb3f/zxR883yAn1zW2WlTKiWYCQiIhcFKxVo7mtBVfNqywpFaYlwD1BCkBdbzXAaBSW1QC9kTElfcFqbJYypjiVj4ioK7oAFTQqJVoMRtQ1tQemrtSZxouB/O5BRD6mX6/KJydpGl+wRsUP10RE5DJpel1lfRMAU6DGU8t/d1yVT1odr2MbPEkq4itlTNU1mf4bquPYSUTkSIj5PbKuqdWy7QozpojIRzEw5aaKWtMXCU7jIyIid0gBG+mHDk+uUmepMdVqtNSXAryTMSX9eNPUakSbwYha85essMAAj5+biKi/koL39U3tBdA5lY+IfBUDU26S6ksxlZaIiNwhBaYqas0ZuF4ITF1vNVgKoAeoFFApPZOh1VFwhyLnja0G1F43B6Z0DEwRETkSasmYMgWmmloNln/z+wcR+RoGptxkKXzOgYGIiNwgTa+TfgH3ZGBKaw5MGYzC8sXGUysA2tKolFCbA2CNzQbUms8fFsipfEREjoRqTcF7KctUyq7VqpUI41RoIvIxDEy5qaLOPJUvlFP5iIjIddJqddKXjVAvZEwBsKwCqNN4JzClUCgs2WH1zW3MmCIicoJtxpT03WNgqNZj9QiJiOTCwJSbKs1TL6LDmDFFRESuC7SpMdVxyltv6zhtTyqe68lAmC2pflZ1Y4ul+DprTBEROSYVP5dWMpWmfXO2BhH5Igam3GSpMcXig0RE5IZgL07lUygU7asASsXWvTgVJMjct7KaJnN7vBsYIyLqb6SsUmlVPmms4GwNIvJFDEy5qcy8Kl8MV+UjIiI3SFP5rjWavnR4clU+ANAFmIZ8b6wCaEsKul2uuW45t9ILhdeJiPqrTlP5OFuDiHwYA1NuEELgYrXpw3VCRKDMrSEiov4o0KbGkyczpjqer0KOwJT53JfNGVOsL0VE1DW9ebqz9OOFpcYUZ2sQkQ9iYMoNV+pbcL3VAIUCiA9nYIqIiFwXbBOY8nSgSPqSI/2w4s3AlJQdduma6dysL0VE1LXIEA0A4GqD6ccEy4rgzJgiIh/EwJQbLlQ3AgBiw3TQqPknJCIi19kGZ2wDVb0tPND0JefCNdMY5s0aU+FBpr6WVNQDAKLMX7iIiMi+AcGmANTVetNKqtI0bNaYIiJfxKiKG0rNvzYnRgTJ3BIiIuqv9DaBKX2QZ7OIpONfkCFjKjLYFIg6U9kAgFNRiIi6I71vVjWYAlPl5vq2A7kqHxH5IAam3PB9WR0AIHVgsMwtISKijn788Uc89NBDSElJQWBgIIYMGYK8vDy0tLTI3bRObDOmpF/HPUUKhAlhuu/NjKlImwwpfrEiIuqa9L5Z1dCCxpY2XDFnTvGHcSLyRVyr2Q0nLtcCAEbFh8ncEiIi6ujkyZMwGo149dVXMXToUBw7dgyLFy9GQ0MDnn/+ebmbZyXcNjAV5NnpbbbnC/VqxpR1ICqKGVNERF0aYM6YajMKFF82/SgeolUjLJBf34jI9/CdzQ3F5sDUyDgGpoiI+pIZM2ZgxowZlvupqak4deoUNm3a1OcCU7bBmYhgz07lC7eZKihnxlRUKGtMERF1RatWIVSrRl1zG767cA2AaTVwhUIhb8OIiDyAU/lcVN3QYlnuOi02VObWEBFRd2pqajBgwAC5m9FJTJiuy/u9TSp+LgnVem9lPNsgHDOmiIi6N9C8At+3P1YDAAZxNXAi8lEMTLno+CVTtlRSZBBCdVzumoioLzt9+jQ2bNiAhx9+uMv9mpubUVtba3XzNNtVXQNUnh2SbYurR3mxzpNtxlScnl+uiIi6kxxpqmdbcLIcADA4kvWliMg3MTDlon0/VgEA0hPD5W0IEZEfWbVqFRQKRZe3kydPWj3n4sWLmDFjBubMmYPFixd3efz8/Hzo9XrLLTEx0ZPdsZgwOBwAMD5B7/FzRclYgNx2Fb4kfrkiIuqWFJhqajUCAEbGsowIEfkm1phyQUubEZ8cugAAuDE1UubWEBH5j8cffxwLFy7scp/U1FTLvy9duoRbbrkFU6dOxWuvvdbt8VevXo3c3FzL/draWq8Ep/7vPel47X/PIOeWoR4/V4LNSk62gSpPUquUiA7VoqKuGcOiQzyeHUZE5AtSoqzft1nfloh8FQNTLlj98VGUVl0HAGSk9L16JUREvmrgwIEYOHCgU/tevHgRt9xyCyZNmoS33noLSmX3QRCtVgut1vt1j5KjgvGHu8Z65Vy2WUtatcor55Vsun8S1u046ZUgHBGRLxgSHWL5t1IBDIsJ6WJvIqL+i4EpJzW2tOGEeTW+UJ0aKVHBMreIiIhsXbx4EdOnT0dSUhKef/55VFZWWh6LjY2VsWXyUyoVyEgZgG/OVmFyUoTXzz8pKQIfPJzp9fMSEfVXk5IioA8MQM31VtyaFg1dgHd/UCAi8hYGppwUpFFj28M3Yv0X3+PWtGgu1UpE1Aft2rULp0+fxunTp5GQkGD1mBBCplb1Hb/52Uh8dOACHpk+RO6mEBFRN7RqFd5YMBl/++4yHp6W2v0TiIj6KYXws0/qtbW10Ov1qKmpQVgY52kTEdni+yT/BkRE3fH390l/7z8RUXdceZ9k9VEiIiIiIiIiIpIFA1NERERERERERCQLBqaIiIiIiMivJCcnQ6FQWN3Wrl0rd7OIiPwSi58TEREREZHf+c///E8sXrzYcj80NFTG1hAR+S8GpoiIiIiIyO+EhoYiNjZW7mYQEfk9TuUjIiIiIiK/s3btWkRGRmLChAn44x//iLa2NrmbRETkl5gxRUREREREfuWxxx7DxIkTMWDAAHz99ddYvXo1Ll++jPXr19vdv7m5Gc3NzZb7tbW13moqEZHP6xMZUxs3bkRycjJ0Oh0yMjKwb9++Lvf/8MMPkZaWBp1Oh7Fjx+Lzzz/3UkuJiIiIiKgvWrVqVaeC5ra3kydPAgByc3Mxffp0jBs3Do888gheeOEFbNiwwSr41FF+fj70er3llpiY6M2uERH5NNkDU9u2bUNubi7y8vJw8OBBjB8/HtnZ2aioqLC7/9dff4377rsPDz30EA4dOoTZs2dj9uzZOHbsmJdbTkREREREfcXjjz+O4uLiLm+pqal2n5uRkYG2tjb8+OOPdh9fvXo1ampqLLfS0lIP9oSIyL8ohBBCzgZkZGTghhtuwMsvvwwAMBqNSExMxK9+9SusWrWq0/5z585FQ0MDtm/fbtl24403Ij09HZs3b+72fLW1tdDr9aipqUFYWFjvdYSIyEfwfZJ/AyKi7vja++SWLVswf/58XLlyBREREd3u72v9JyLqba68T8qaMdXS0oIDBw4gKyvLsk2pVCIrKwtFRUV2n1NUVGS1PwBkZ2c73J+IiIiIiEhSVFSEF198EUeOHMGZM2ewZcsWrFixAvfff79TQSkiIupdshY/v3LlCgwGA2JiYqy2x8TEWOZ/2yorK7O7f1lZmd39bQsV1tTUAGDBQiIiR6T3R5kTamUl9Z1jBRGRff15rNBqtdi6dSuefvppNDc3IyUlBStWrEBubq7Tx+A4QUTUNVfGCZ9flS8/Px/PPPNMp+0sWEhE1LW6ujro9Xq5myGLuro6ABwriIi60x/HiokTJ2Lv3r09OgbHCSIi5zgzTsgamIqKioJKpUJ5ebnV9vLycsTGxtp9TmxsrEv7r1692urXD6PRiKqqKkRGRkKhUPSwB55RW1uLxMRElJaW9vs5677SF1/pB8C+9FV9qS9CCNTV1SE+Pl7WdsgpPj4epaWlCA0NdWms6EvX0RvYX9/mb/0F/K/PPemvv48V7o4TAF9nvo799W3sr/NcGSdkDUxpNBpMmjQJBQUFmD17NgBT4KigoAA5OTl2n5OZmYmCggIsX77csm3Xrl3IzMy0u79Wq4VWq7XaFh4e3hvN97iwsDCfebH7Sl98pR8A+9JX9ZW+9Ldfv3ubUqlEQkKC28/vK9fRW9hf3+Zv/QX8r8/u9tefx4qejhMAX2e+jv31beyvc5wdJ2Sfypebm4sFCxZg8uTJmDJlCl588UU0NDRg0aJFAID58+dj0KBByM/PBwAsW7YM06ZNwwsvvIBZs2Zh69at+Pbbb/Haa6/J2Q0iIiIiIiIiInKR7IGpuXPnorKyEmvWrEFZWRnS09OxY8cOS4Hz8+fPQ6lsXzxw6tSpeO+99/Db3/4Wv/nNbzBs2DB8+umnGDNmjFxdICIiIiIiIiIiN8gemAKAnJwch1P3CgsLO22bM2cO5syZ4+FWyUer1SIvL6/TFMT+yFf64iv9ANiXvsqX+uLP/O06sr++zd/6C/hfn/2tv32Fv/3d2V/fxv76Nm/1VyH64xqvRERERERERETU7ym734WIiIiIiIiIiKj3MTBFRERERERERESyYGCKiIiIiIiIiIhkwcAUERERERERERHJgoEpL8vPz8cNN9yA0NBQREdHY/bs2Th16lSXz3n77behUCisbjqdzkstduzpp5/u1K60tLQun/Phhx8iLS0NOp0OY8eOxeeff+6l1nYtOTm5U18UCgWWLl1qd/++ck3+8Y9/4Oc//zni4+OhUCjw6aefWj0uhMCaNWsQFxeHwMBAZGVloaSkpNvjbty4EcnJydDpdMjIyMC+ffs81IN2XfWltbUVK1euxNixYxEcHIz4+HjMnz8fly5d6vKY7rxGe0N312XhwoWd2jVjxoxujyvHdSHX+Ms1cmcs8yVr166FQqHA8uXL5W6Kx1y8eBH3338/IiMjERgYiLFjx+Lbb7+Vu1keYTAY8NRTTyElJQWBgYEYMmQInn32WfjK+kCe+qxA7vGXcQLw77HCH8YJgGMFx4reGysYmPKyL7/8EkuXLsXevXuxa9cutLa24vbbb0dDQ0OXzwsLC8Ply5ctt3PnznmpxV0bPXq0Vbv++c9/Otz366+/xn333YeHHnoIhw4dwuzZszF79mwcO3bMiy22b//+/Vb92LVrFwBgzpw5Dp/TF65JQ0MDxo8fj40bN9p9/LnnnsNLL72EzZs345tvvkFwcDCys7PR1NTk8Jjbtm1Dbm4u8vLycPDgQYwfPx7Z2dmoqKjwVDcAdN2XxsZGHDx4EE899RQOHjyIjz/+GKdOncIdd9zR7XFdeY32lu6uCwDMmDHDql3vv/9+l8eU67qQ8/zpGrk7lvmC/fv349VXX8W4cePkborHVFdX46abbkJAQAD+53/+BydOnMALL7yAiIgIuZvmEevWrcOmTZvw8ssvo7i4GOvWrcNzzz2HDRs2yN20XuGJzwrkHn8aJwD/HSv8YZwAOFZwrOjlsUKQrCoqKgQA8eWXXzrc56233hJ6vd57jXJSXl6eGD9+vNP733PPPWLWrFlW2zIyMsTDDz/cyy3ruWXLlokhQ4YIo9Fo9/G+eE0AiE8++cRy32g0itjYWPHHP/7Rsu3atWtCq9WK999/3+FxpkyZIpYuXWq5bzAYRHx8vMjPz/dIu+2x7Ys9+/btEwDEuXPnHO7j6mvUE+z1ZcGCBeLOO+906Th94bpQ1/z5GjkzlvmCuro6MWzYMLFr1y4xbdo0sWzZMrmb5BErV64UP/nJT+RuhtfMmjVLPPjgg1bbfvGLX4h58+bJ1CLP6a3PCuQefx4nhPCPscJfxgkhOFYIwbGiN8cKZkzJrKamBgAwYMCALverr69HUlISEhMTceedd+L48ePeaF63SkpKEB8fj9TUVMybNw/nz593uG9RURGysrKstmVnZ6OoqMjTzXRJS0sL3n33XTz44INQKBQO9+ur10Ry9uxZlJWVWf3N9Xo9MjIyHP7NW1pacODAAavnKJVKZGVl9bnrVFNTA4VCgfDw8C73c+U16k2FhYWIjo7GiBEjsGTJEly9etXhvv3puvgrf79Gzo5l/d3SpUsxa9asTmOZr/nrX/+KyZMnY86cOYiOjsaECRPw+uuvy90sj5k6dSoKCgrw/fffAwCOHDmCf/7zn5g5c6bMLfM8dz4rkHv8fZwA/GOs8JdxAuBYwbGid8cKBqZkZDQasXz5ctx0000YM2aMw/1GjBiBN998E5999hneffddGI1GTJ06FRcuXPBiazvLyMjA22+/jR07dmDTpk04e/Ysbr75ZtTV1dndv6ysDDExMVbbYmJiUFZW5o3mOu3TTz/FtWvXsHDhQof79NVr0pH0d3Xlb37lyhUYDIY+f52ampqwcuVK3HfffQgLC3O4n6uvUW+ZMWMG/vKXv6CgoADr1q3Dl19+iZkzZ8JgMNjdv79cF3/mz9fI2bGsv9u6dSsOHjyI/Px8uZvicWfOnMGmTZswbNgw7Ny5E0uWLMFjjz2Gd955R+6mecSqVatw7733Ii0tDQEBAZgwYQKWL1+OefPmyd00j3PnswK5x5/HCcA/xgp/GicAjhUcK3r3/UvdK0chtyxduhTHjh3rtuZNZmYmMjMzLfenTp2KkSNH4tVXX8Wzzz7r6WY61DE6PG7cOGRkZCApKQkffPABHnroIdna1VN//vOfMXPmTMTHxzvcp69eE3/Q2tqKe+65B0IIbNq0qct9++pr9N5777X8e+zYsRg3bhyGDBmCwsJC3HbbbbK1i8gdzo5l/VlpaSmWLVuGXbt29YnFRzzNaDRi8uTJ+MMf/gAAmDBhAo4dO4bNmzdjwYIFMreu933wwQfYsmUL3nvvPYwePRqHDx/G8uXLER8f75P9JZKDr48V/jZOABwrOFb0LmZMySQnJwfbt2/Hnj17kJCQ4NJzpQjt6dOnPdQ694SHh2P48OEO2xUbG4vy8nKrbeXl5YiNjfVG85xy7tw57N69G//+7//u0vP64jWR/q6u/M2joqKgUqn67HWSglLnzp3Drl27usyWsqe716hcUlNTERUV5bBdff26kP9eo56MZf3JgQMHUFFRgYkTJ0KtVkOtVuPLL7/ESy+9BLVa7TDbsb+Ki4vDqFGjrLaNHDmyz0yF7m1PPPGE5ZfwsWPH4oEHHsCKFSv8IuvBnc8K5B5/HScA/xgr/G2cADhWcKzo3fcvBqa8TAiBnJwcfPLJJ/j73/+OlJQUl49hMBhw9OhRxMXFeaCF7quvr8cPP/zgsF2ZmZkoKCiw2rZr1y6rzCO5vfXWW4iOjsasWbNcel5fvCYpKSmIjY21+pvX1tbim2++cfg312g0mDRpktVzjEYjCgoKZL9OUlCqpKQEu3fvRmRkpMvH6O41KpcLFy7g6tWrDtvVl68LmfjbNeqNsaw/ue2223D06FEcPnzYcps8eTLmzZuHw4cPQ6VSyd3EXnXTTTd1WtL9+++/R1JSkkwt8qzGxkYoldYfiVUqFYxGo0wt8h53PiuQe/xtnAD8a6zwt3EC4FgBcKzo1bGiV0qok9OWLFki9Hq9KCwsFJcvX7bcGhsbLfs88MADYtWqVZb7zzzzjNi5c6f44YcfxIEDB8S9994rdDqdOH78uBxdsHj88cdFYWGhOHv2rPjqq69EVlaWiIqKEhUVFUKIzv346quvhFqtFs8//7woLi4WeXl5IiAgQBw9elSuLlgxGAxi8ODBYuXKlZ0e66vXpK6uThw6dEgcOnRIABDr168Xhw4dsqxUt3btWhEeHi4+++wz8d1334k777xTpKSkiOvXr1uOceutt4oNGzZY7m/dulVotVrx9ttvixMnTohf/vKXIjw8XJSVlcnWl5aWFnHHHXeIhIQEcfjwYav/d5qbmx32pbvXqBx9qaurE//xH/8hioqKxNmzZ8Xu3bvFxIkTxbBhw0RTU5PDvsh1Xch5/nSNnBnLfJ0vr7a0b98+oVarxe9//3tRUlIitmzZIoKCgsS7774rd9M8YsGCBWLQoEFi+/bt4uzZs+Ljjz8WUVFR4te//rXcTesVvfFZgXqHP40TQnCs8OVxQgiOFRwrenesYGDKywDYvb311luWfaZNmyYWLFhgub98+XIxePBgodFoRExMjPjZz34mDh486P3G25g7d66Ii4sTGo1GDBo0SMydO1ecPn3a8rhtP4QQ4oMPPhDDhw8XGo1GjB49Wvztb3/zcqsd27lzpwAgTp061emxvnpN9uzZY/f1JLXVaDSKp556SsTExAitVituu+22Tv1LSkoSeXl5Vts2bNhg6d+UKVPE3r17Ze3L2bNnHf6/s2fPHod96e41KkdfGhsbxe233y4GDhwoAgICRFJSkli8eHGnD6V95bqQa/zlGjkzlvk6X//C8d///d9izJgxQqvVirS0NPHaa6/J3SSPqa2tFcuWLRODBw8WOp1OpKamiieffNLqh4/+rDc+K1Dv8ZdxQgiOFb4+TgjBsYJjRe+NFQohhOid3CsiIiIiIiIiIiLnscYUERERERERERHJgoEpIiIiIiIiIiKSBQNTREREREREREQkCwamiIiIiIiIiIhIFgxMERERERERERGRLBiYIiIiIiIiIiIiWTAwRUREREREREREsmBgioiIiIiIiIiIZMHAFBERERERERERyYKBKSKZbd++HSkpKZgyZQpKSkpcfv5dd92FiIgI3H333R5oHRER9VU9HT+IiMi3cZyg/kIhhBByN4LIn40YMQIbN27E8ePHUVRUhK1bt7r0/MLCQtTV1eGdd97BRx995KFWEhFRX9PT8YOIiHwbxwnqL5gxReRh06dPh0KhgEKhwOHDhzs9HhkZiaFDhyI5ORkajcat44eGhtp9bOHChZZzf/rppy4fm4iI5NOT8YPv/0REvo/jBPkKBqaInFRaWooHH3wQ8fHx0Gg0SEpKwrJly3D16tVun7t48WJcvnwZY8aM6fTYokWLMGTIECxZsgQvvvhir7b5T3/6Ey5fvtyrxyQiIu9xd/zg+z8RkX/gOEG+gIEpIiecOXMGkydPRklJCd5//32cPn0amzdvRkFBATIzM1FVVdXl84OCghAbGwu1Wm21va2tDX/605/w61//GvX19YiIiOj03PT0dIwZM6bT7dKlS922W6/XIzY21rXOEhGRV7W0tDh8zN3xg+//RES+g+ME+ToGpoicsHTpUmg0GnzxxReYNm0aBg8ejJkzZ2L37t24ePEinnzySbeOu3nzZqSmpmLp0qWoq6vDmTNnOu1z+PBhHDt2rNMtPj6+p90iIiIZTJ8+HTk5OVi+fDmioqKQnZ3t8jGcGT+IiKh/4jhB/oaBKaJuVFVVYefOnXj00UcRGBho9VhsbCzmzZuHbdu2wdV1BKqqqvDss89i3bp1SEhIgF6vtzs3nIiIfM8777wDjUaDr776Cps3b3bpuRw/iIh8H8cJ8icMTBF1o6SkBEIIjBw50u7jI0eORHV1NSorK106bl5eHu666y7LcUeNGoUjR4643L6srCzMmTMHn3/+ORISElBUVOTyMYiIyLuGDRuG5557DiNGjMCIESNcem5vjR9ERNR3cZwgf6LufhciAtBtRpQrK+qdOHEC7777LoqLiy3bxowZ49YvGbt373b5OUREJK9Jkya59bzeHD+IiKjv4jhB/oSBKaJuDB06FAqFAsXFxbjrrrs6PV5cXIyBAwciPDzc6WOuWLEC165dQ0JCgmWb0WhEYmJibzSZiIj6uODgYLeex/GDiMg/cJwgf8LAFFE3IiMj8dOf/hSvvPIKVqxYYVVnqqysDFu2bMHSpUudPt727dtx4MABHDp0yGr1jP379+PBBx9EdXW13dX5iIjIv3H8ICKirnCcoP6KgSkiJ7z88suYOnUqsrOz8bvf/Q4pKSk4fvw4nnjiCQwfPhxr1qxx6jitra14/PHH8cQTTyA9Pd3qsbCwMADAkSNHMH369F7uARER9WccP4iIqCscJ6g/Y/FzIicMGzYM+/fvR2pqKu655x4kJSVh5syZGD58OL766iuEhIQ4dZwNGzbg2rVryMnJ6fRYYmIigoKCOP+biIg64fhBRERd4ThB/RkzpoiclJycjLfffttyPy8vD+vXr8d3332HG2+80alj5ObmIjc31+5jCoUCDQ0NvdFUIiLqwwoLC11+DscPIiL/wXGC/A0zpojc9Mwzz+Cll17C3r17YTQau9z3lVdeQUhICI4ePeql1pk88sgjTmdzERFR3+Pu+MH3fyIi/8BxgnyBQggh5G4EkS+7ePEirl+/DgAYPHgwNBqN185dUVGB2tpaAEBcXJzbq3sQEZH39WT84Ps/EZHv4zhBvoKBKSIiIiIiIiIikgWn8hERERERERERkSwYmCIiIiIiIiIiIlkwMEVERERERERERLJgYIqIiIiIiIiIiGTBwBQREREREREREcmCgSkiIiIiIiIiIpIFA1NERERERERERCQLBqaIiIiIiIiIiEgWDEwREREREREREZEsGJgiIiIiIiIiIiJZMDBFRERERERERESy+P/y+NF4jDsC+QAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(131)\n", "plt.plot(sq.x, sq.y)\n", "plt.xlabel('Q [$\\\\AA^{-1}$]')\n", "plt.ylabel('S(Q)')\n", "plt.subplot(132)\n", "plt.plot(fr.x, fr.y)\n", "plt.xlabel('r [$\\\\AA$]')\n", "plt.ylabel('F(r)')\n", "plt.subplot(133)\n", "plt.plot(gr.x, gr.y)\n", "plt.xlabel('r [$\\\\AA$]')\n", "plt.ylabel('g(r)')\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "882b89d3b0c2fb3d", "metadata": { "collapsed": false }, "source": [ "## Refining the calculations\n", "\n", "While the above calculations are already quite good, we can improve them by refining several steps. \n", "\n", "### Optimizing the Structure Factor S(Q) \n", "As with all total scattering experiments, it is very difficult to account for all effects on the intensity of the collected signal (However, if please perform all possible corrections before to the data, e.g. Multiple Scattering or Fluorescence). \n", "\n", "Several ways have been proposed in the past to improve the results:\n", "\n", "- the background can be refined using a polynomial fit - this is done by PDFGetX3 by default - but works poorly for amorphous materials and liquids\n", "- removing unphysical oscillations in the low r region of the g(r), by back transforming this area into S(Q), this has been described by [Kaplow et al., 1965](https://doi.org/10.1103/PhysRev.138.A1336), performing this multiple times results in a more physical result - this is the default method chosen for glassure - typically the iterations number should be between 3 and 5, if more are necessary, other factors should be considered\n", "\n", "### Extending the Q-range to zero\n", "It is often difficult to obtain diffraction at very large Q as well as in the low-Q region. However, the Fourier transform is affected by a limited Q-range, and for reasonable results the pattern should be extended to q = 0. The theoretical value for a monatomic liquid S(Q=0) is:\n", "\n", "\\begin{equation}\n", "S(Q=0) = \\rho \\chi_T k_B T\n", "\\end{equation}\n", "\n", "where $\\rho$ is the density, $\\chi_T$ is the isothermal compressibility and $k_B$ is the Boltzmann constant and $T$ is the temperature. Since most materials have a very low compressibility, this is very close to zero.\n", " \n", "For polyatomic materials, the value can become negative and is mainly influenced by the differences of elemental form factors at q=0. It can be estimated using the following equation:\n", "\n", "\\begin{equation}\n", "S(Q) = \\frac{I(Q)-\\sum_{\\alpha}c_{\\alpha}f_{\\alpha}^2(Q) - C(Q)}{\\left[\\sum_{\\alpha}c_{\\alpha}f_{\\alpha}(Q)]\\right]^2} + 1\n", "\\end{equation}\n", "\n", "where $I(Q)$ is the measured intensity, $f_{\\alpha}(Q)$ is the scattering factor of the $\\alpha$-th element, $c_{\\alpha}$ is the concentration of the $\\alpha$-th element and $C(Q)$ is the Compton intensity. The value of $S(Q=0)$ is then calculated by extrapolating the $S(Q)$ to $Q=0$ where I(Q) and C(Q) approach zero.\n", "\n", "### Using a filter function to remove Fourier transform artifacts\n", "The Fourier transformation from S(Q) to F(r) will always result in some artifacts, due to the limited Q-range of the S(Q) data. To suppress these artifacts we can employ a filter function during the transformation such as the Lorch-Modification function ([Lorch, 1969](https://doi.org/10.1088/0022-3719/2/2/305))\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "5bb593df6d702fdb", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from glassure.optimization import optimize_sq\n", "from glassure.utility import calculate_s0\n", "\n", "# we need to extend the sq to q=0, for simplicity we use a step function, but\n", "# other more potent methods are available in the utility module\n", "sq = sq.extend_to(0, calculate_s0(composition))\n", "sq_opt = optimize_sq(sq, \n", " r_cutoff=1.4, \n", " iterations=5,\n", " atomic_density=atomic_density)\n", "fr_opt = calculate_fr(sq_opt)\n", "gr_opt = calculate_gr(fr_opt, atomic_density)\n", "\n", "fr_opt_lorch = calculate_fr(sq_opt, use_modification_fcn=True)\n", "gr_opt_lorch = calculate_gr(fr_opt_lorch, atomic_density)" ] }, { "cell_type": "code", "execution_count": 11, "id": "7be7e315f76f147d", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(131)\n", "plt.plot(sq.x, sq.y, label='original')\n", "plt.plot(sq_opt.x, sq_opt.y, label='optimized')\n", "plt.xlabel('Q [$\\\\AA^{-1}$]')\n", "plt.ylabel('S(Q)')\n", "plt.legend()\n", "plt.subplot(132)\n", "plt.plot(fr.x, fr.y, label='original')\n", "plt.plot(fr_opt.x, fr_opt.y, label='optimized')\n", "plt.plot(fr_opt_lorch.x, fr_opt_lorch.y, label='optimized + Lorch')\n", "plt.xlabel('r [$\\\\AA$]')\n", "plt.ylabel('F(r)')\n", "plt.legend()\n", "plt.subplot(133)\n", "plt.plot(gr.x, gr.y, label='original')\n", "plt.plot(gr_opt.x, gr_opt.y, label='optimized')\n", "plt.plot(gr_opt_lorch.x, gr_opt_lorch.y, label='optimized + Lorch')\n", "plt.ylim(-1, 3)\n", "plt.xlabel('r [$\\\\AA$]')\n", "plt.ylabel('g(r)')\n", "plt.legend()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "id": "64af6e04fd910a36", "metadata": { "collapsed": false }, "source": [ "It can be clearly seen that the Kaplow-Optimization successfully removes the unphysical oscillations in the low r region. However, the r_cutoff for the back and forward transformation has to be chosen carefully. Furthermore, it is of large importance that the optimization procedure does not completely distort the original structure factor. If the optimized structure factor and the original unoptimized structure differ a lot, please consider other corrections to the data before proceeding with the PDF Analysis. This optimization procedure should only be used as a final step. \n", "\n", "The Lorch-modification function further smooths the g(r) and removes the artifacts from the Fourier transformation. However, it also removes information from the g(r) (loss of resolution). \n" ] }, { "cell_type": "markdown", "id": "b1e90b8e835f7407", "metadata": { "collapsed": false }, "source": [ "## Conclusion\n", "\n", "This notebook showed how to use the Glassure API to calculate the structure factor and the pair distribution function from collected total scattering XRD data. It also showed how to optimize the S(Q). For more information on the possibilities in the Glassure API, please see the [API Documentation](apidoc/glassure.rst)." ] } ], "metadata": { "kernelspec": { "display_name": "glassure-j5VHWwZQ-py3.12", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }