{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://static.mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.18.2?urlpath=lab/tree/astro_dark_matter.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/docs/tutorials).\n", "- **Source files:**\n", "[astro_dark_matter.ipynb](../_static/notebooks/astro_dark_matter.ipynb) |\n", "[astro_dark_matter.py](../_static/notebooks/astro_dark_matter.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dark matter utilities\n", "\n", "## Introduction \n", "\n", "Gammapy has some convenience methods for dark matter analyses in `~gammapy.astro.darkmatter`. These include J-Factor computation and calculation the expected gamma flux for a number of annihilation channels. They are presented in this notebook. \n", "\n", "The basic concepts of indirect dark matter searches, however, are not explained. So this is aimed at people who already know what the want to do. A good introduction to indirect dark matter searches is given for example in https://arxiv.org/pdf/1012.4515.pdf (Chapter 1 and 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start with some setup for the notebook, and with imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from gammapy.astro.darkmatter import (\n", " profiles,\n", " JFactory,\n", " PrimaryFlux,\n", " DarkMatterAnnihilationSpectralModel,\n", ")\n", "\n", "from gammapy.maps import WcsGeom, WcsNDMap\n", "from astropy.coordinates import SkyCoord\n", "from matplotlib.colors import LogNorm\n", "from regions import CircleSkyRegion\n", "import astropy.units as u\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profiles\n", "\n", "The following dark matter profiles are currently implemented. Each model can be scaled to a given density at a certain distance. These parameters are controlled by ``profiles.DMProfile.LOCAL_DENSITY`` and ``profiles.DMProfile.DISTANCE_GC``" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[gammapy.astro.darkmatter.profiles.NFWProfile,\n", " gammapy.astro.darkmatter.profiles.EinastoProfile,\n", " gammapy.astro.darkmatter.profiles.IsothermalProfile,\n", " gammapy.astro.darkmatter.profiles.BurkertProfile,\n", " gammapy.astro.darkmatter.profiles.MooreProfile]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles.DMProfile.__subclasses__()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LOCAL_DENSITY: 0.3 GeV / cm3\n", "DISTANCE_GC: 8.33 kpc\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for profile in profiles.DMProfile.__subclasses__():\n", " p = profile()\n", " p.scale_to_local_density()\n", " radii = np.logspace(-3, 2, 100) * u.kpc\n", " plt.plot(radii, p(radii), label=p.__class__.__name__)\n", "\n", "plt.loglog()\n", "plt.axvline(8.5, linestyle=\"dashed\", color=\"black\", label=\"local density\")\n", "plt.legend()\n", "\n", "print(\"LOCAL_DENSITY:\", profiles.DMProfile.LOCAL_DENSITY)\n", "print(\"DISTANCE_GC:\", profiles.DMProfile.DISTANCE_GC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## J Factors\n", "\n", "There are utilies to compute J-Factor maps can can serve as a basis to compute J-Factors for certain regions. In the following we compute a J-Factor map for the Galactic Centre region" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "profile = profiles.NFWProfile()\n", "\n", "# Adopt standard values used in HESS\n", "profiles.DMProfile.DISTANCE_GC = 8.5 * u.kpc\n", "profiles.DMProfile.LOCAL_DENSITY = 0.39 * u.Unit(\"GeV / cm3\")\n", "\n", "profile.scale_to_local_density()\n", "\n", "position = SkyCoord(0.0, 0.0, frame=\"galactic\", unit=\"deg\")\n", "geom = WcsGeom.create(binsz=0.05, skydir=position, width=3.0, frame=\"galactic\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "jfactory = JFactory(\n", " geom=geom, profile=profile, distance=profiles.DMProfile.DISTANCE_GC\n", ")\n", "jfact = jfactory.compute_jfactor()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No handles with labels found to put in legend.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jfact_map = WcsNDMap(geom=geom, data=jfact.value, unit=jfact.unit)\n", "fig, ax, im = jfact_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(f\"J-Factor [{jfact_map.unit}]\")\n", "\n", "# 1 deg circle usually used in H.E.S.S. analyses\n", "sky_reg = CircleSkyRegion(center=position, radius=1 * u.deg)\n", "pix_reg = sky_reg.to_pixel(wcs=geom.wcs)\n", "pix_reg.plot(ax=ax, facecolor=\"none\", edgecolor=\"red\", label=\"1 deg circle\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J-factor in 1 deg circle around GC assuming a NFWProfile is 1.35e+21 GeV2 / cm5\n" ] } ], "source": [ "# NOTE: https://arxiv.org/abs/1607.08142 quote 2.67e21 without the +/- 0.3 deg band around the plane\n", "total_jfact = pix_reg.to_mask().multiply(jfact).sum()\n", "print(\n", " \"J-factor in 1 deg circle around GC assuming a \"\n", " f\"{profile.__class__.__name__} is {total_jfact:.3g}\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gamma-ray spectra at production\n", "\n", "The gamma-ray spectrum per annihilation is a further ingredient for a dark matter analysis. The following annihilation channels are supported. For more info see https://arxiv.org/pdf/1012.4515.pdf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['eL', 'eR', 'e', 'muL', 'muR', 'mu', 'tauL', 'tauR', 'tau', 'q', 'c', 'b', 't', 'WL', 'WT', 'W', 'ZL', 'ZT', 'Z', 'g', 'gamma', 'h', 'nu_e', 'nu_mu', 'nu_tau', 'V->e', 'V->mu', 'V->tau']\n" ] } ], "source": [ "fluxes = PrimaryFlux(mDM=\"1 TeV\", channel=\"eL\")\n", "print(fluxes.allowed_channels)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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clngaM1JnMD1hul6eUr2WBoVS7eDj5cOk+ElMip/EPRPvYW3+WhZlLOKrrK9YlLmIYFswZySfwQUDL2Byv8naEa56FQ0KpY6Tt5d38623902+j1X7V7Eo0wqNj3d/THRANOelnsfMQTMZHumaqSiV8iQNCgel1XXUNxh8fbyweQu+3l46ilc5ZfOycVLCSZyUcBIPTHmApblLWbh7IQu2L+CNrW8wLGIYMwfN5PyB5+vsfqrH0qBw8OgnW3lvTe4R23y8BJu3PTh8vPH1FnuQeB2x9vPxwtfxtU/Ta2/8mtY2r8Ovfbzs763X/rbDa3+bfe2wjwZW9+fn7cfZA87m7AFnU1xdzGeZn/FR+kc8tfop/rbmb0xPmM7MQTM5Pel0bN42T1dXqXbToHDwk/EJjO4fSl2DobahkZr6RuobGqlvNNTWN1Lb0Git6xupa3ptX1fU1HOo/vC2mrqmdYN1nMaO310mQnOIBNiXpkAJ8LUCJcDXm0BfbwJ9fazXNm8C/Xzs26ztQb7WtiPWvj74+ujcDq4W7h/O7OGzmT18NnuK9/DR7o9YuHshS3KXEOkfycxBM/npkJ+SGpbq6aoq1Sa9PbaLNNjDprquoTlIqusbqKlrpKa+gWqHdXVdA9UOr2vqGqiub6SqtsH+mfW6pr6BqtoGKu3bK2sbqKytp6qugbqG9v/vavMWgv18CPLzIbhp8Xd47fA+1N9GsL8PIfb3If7WttAAm7Z82tDQ2MAP+37g/V3vsyRnCfWmngmxE7h06KWcPeBsnTu8G+sOt8dmZmZy4YUXsnnzZpccT2+P7Ya8vYQAX+tf/l2hrqGRylorSCpq66mssUKksraB8pp6KmvrqahpoKKmnopa+7qmnjL7uqiiluzCSsrt7ytqG9o8p81bCPW3WeERYLMHiBUkYQFWmIS1WMIDbYQH+BLi74OXV+8OGW8vb05OPJmTE0+moKqAD9M/5INdH3D/9/fzxI9PMGvQLC4behkDwwd6uqpKHUGDopeyeXsRFuBFWIBrroU3NBrKa+opq66jrNoeKtX1lNrfl1bXUVp1+HPrfR0HSqspqaqjpKqO2vrGVo8vghUcATbCAn0JD7AREWgjPNCXiEBfIoOs15FBvoQH2ogMsrb723rmbajRAdH8fMzPuXH0jazJW8O7O97l7R1v8+a2Nzkx7kRmD5vNmclnal+GOkJ9fT3XXXcd69atY+jQobz++usEBrp/0Ge3DwoRCQKeB2qBb40x8z1cpT7J20uaWwEdVV3XQEmVFSAlVXUUV9rXVXUUV9Y2byuqrKWospY9BeUUV9RRVlPf6jGD/XyIDLICJMq+jgz2JTrIj6hgX6KC/YgO9iU62I/IIF9s3t2rP8ZLvJpvtS2sKuSj3R/xzo53uHvp3UQHRHPp0Eu5dMilxAXFebqqyu4vP/6F7Ye2u/SYwyOHc8+ke9ost2PHDl5++WWmTZvGjTfeyPPPP98894Q7eSQoROQV4EIg3xgz2mH7DOBZwBt4yRjzJPBT4D1jzCci8n+ABkUP5W/vhI8LPb5r8XUNjYcDpMIKkcIK63VhRS2H7MuB0mq27CvlUEUttQ3Hbr1EBNqICvYjJtiPmBBriQ1xfO1PbIgf4YG2Lu9viQqI4sbRN3LdyOtYtm8Zb29/m39v+DcvbnyRM5LP4IrhV5AWl6b9QH1YUlIS06ZNA+Dqq69m7ty5vTcogNeA54DXmzaIiDfwT+BsIBdYJSIfA4lA0ywhbV8oV72Ozdur+Q95exhjKKupp6CshkMVtRSU11JQXkNBeQ2F9tcHy2rYkFtMfmkNVXVH/6x87efsF+ZPXKgVIHGh/vQL8yMu1J/4sAD6hfq7pc/J28u7+dEhOWU5vLvjXf6b/l++zPqSoRFDuXrE1Zw/8Hz8vNv330O5Vnv+5e8uLf+R0FX/aPBIUBhjlopISovNk4B0Y8weABF5G5iFFRqJwHqg1esGIvIL4BcAycnJrq+06jFErE71UH8bA2PaLl9eU8/BshryS6s5WF5DXmkN+WXV5JfWkFdazfYDZSzdWUD5MS6BhQfaiA8LID7Mn/gwf/qHB9A/3J/+YQEkRFhh4tOJy11JIUn8Nu233DruVhZlLOKNbW/w4A8P8ve1f2f2sNn8bNjPiAqI6vDxVc+SnZ3N8uXLmTp1KgsWLGD69Oldct7u1EeRAOQ4vM8FJgNzgedE5ALgk9Z2NsbMA+aBdXusG+upepmmW4BTo4OcliuvqSe/tJoDJdXsL6nmQGk1+4qrmt+vyy6iqLLuiH28vYR+of4kRASQGB5AYkQAiZGBJEUEkhwVSL9Qf7zbcbeXv48/PxnyEy4efDErD6zkja1v8PyG53lp00tcMPACrh15LYMjBnfqv4Pq/kaMGMF//vMfbrnlFoYMGcKvfvWrLjmv06AQkY3tOMZBY8yZLqjLsf7fYowxFcANLji+Up0S7OdDcEwwA2OCWy1TVdvAvpIq9hZVsbf4yPWKPYUcKK3GceylzVtIjAgkKTKQ5MgABkQGkRwVSEpUEMmRgUdd2hIRpsRPYUr8FDJKMpi/bT4fpX/EB+kfMD1hOtePup5J/SZpP0YvlJKSwtatWz1y7rZaFN7A+U4+F+BjF9UlF0hyeJ8I7HPRsZXqEgG+3gyKCWZQK2FS19DIvuIqcg5VkX2okpyiSmt9qJINOcWUVB3ZIukX6s8Ae3CkRAeRGh3EwJggBkQFkhqWygNTHuD2cbfzzs53eGvbW/z8i58zMmokN4y+gbOTz9an2CqXaCsobjHGZDkrICK3uqguq4AhIpIK7AVmA1e66NhKdQs2by8GRAUxIOrYl7lKKuvIOlRBZmElWQUVZBRWkF1Yydfb8ykor2ku5yWQGBHIwJggBkYHMyj2XB478UJ2V33He+lvcveSu0kKSeL6Udcza/As7fhWndJWUEwRkSxjTE5rBYwx3x/vSUVkAXAaEC0iucBDxpiXReR24HOslswrxpgtx3tspXqysEAbYwPDGZsYftRnZdV1ZBRUsOdgBXsOlrPb/nrFnkKq65puBw4mIuh2EvrtoqzyS/604k88u+Y5fjb0Sm4YcyWhfqFd+4VUr9BWUCQAP4hIBrAAeNcYU9DZkxpjrmhl+6fAp509foeV7gMvHwiKsYYKK9WNhPjbGJt4dIg0Nhr2lVSRnl9Oen45uw+WszMvhL3pg6n02kl91BJe2vJPXtr0MrHmbE6Kvpix/eMZER/K4NjgHju6XXWdNh8KKFav2ClYl4JmARuwQuMDY0yZ22vYAR1+KOCHt8H6N8EvFCJTIXIQRA2yrwdD5EAIjNQQUT2CMYb8shp25ZXzffZ6vtr/FnkNqzCNftQeOom6Q9PxMsEMjA5iVP9QRvUPs9YJYS579Etv0R0eCuhqx/NQwON6eqx9UNxZwJPAMGNMt5xZvsNBkbMK9q6BQ7uhcLe1Ls4G4zDK1z+sRYA0rQdCQITrvoRSbrCzaCf/3jCPL7O+wOblx9CAc/GtOJ2d+2B/SXVzuZSoQEYnhDE2MYzRCWGMSQgjxL/vhkdfD4p2j6MQkTFYrYrLgULg/k7Ws/tJmmgtjuproTjrcHA0rbNXwqb3AIegDYi0Wh5Rg63giBp8OEx8nd+jr1RXGBoxlDmnPc3u4t3M2ziPzzI/wc/nC6445wpmpV5JboEXm/aWsDG3mHXZxSzcuB+wGtFDY0OYMCCc8UkRjE8OZ1BMcK9/4m938sEHH/DII48csW3jxo3873//47zzznPruZ22KERkCFY4XIH1+Iy3gQVNo6e7qy6bj6KuGooyjwyQQvtS1uLO3pD+VmBEDXIIk8EQPgB8fN1fV6WOIaMkg39t+BeLMhYR4BPA1SOv5rpR1xHqa3V6F5TXsHlvCRtySlibXcS67CJKq60R6iH+PoxLCidtQCRpKRGMSwonyK87jeF1ne7Yopg3bx7z589n8eLFeHkd/+h/l116EpE9WP0RbxtjNrVasJvpFhMX1VbAoT1QmG5fml7vgqqiw+XEGyIGHA6OyIGHX4cmQAd+AEodr93Fu3l+/fN8kfUFob6h3Dj6Rq4ccSUBPgFHlGtsNGQUVrA2q4i12cWsyy5iR14Zxlij0Ef3D2VSaiSTUqOYmBJBeGDv+EdQdwuKnTt3csYZZ/DDDz90+JFFbumjEJEBwBBjzFciEgD49LrO7K5Secje8thlX6cfbpHUVR4u5+NvBYdjeDS1SPTOLOUG2wq3MXfdXL7f+z3RAdHcMvYWLhlyidN5MUqr61iXXczqzEOszDjE+pzi5rlHhsWFMHlgJCcNimbqoKge20nu+Ef1wOOPU7PNtY8Z9xsxnH73t+9qfl1dHVOnTuWuu+5i9uzZHT6ny/soRORmrAfuRQKDsEZN/wtwxaM7+p7ASGtp2R9iDJTtPxwcTeuCnbDzc2h0GLXrF2oPkEFHh4h/WNd+H9VrjIgawQtnvcCavDXMXTuXP6/8M69teY3bxt3GBQMvwEuObuGG+ts4dWgMpw61nsBYXdfAxtwSVtmD4701uby+PAsvgTGJ4UwbFMX0wdFMGBCht+Z2wB//+EdGjRrVqZA4Xu1qUYjIeqynu640xoy3b9tkjBnj5vp1SLdvUXREQz2UZFuXsA7tPjJMSnKOvDMrKPbI4GhaIlLApvMyq/YxxrBs3zLmrp3LtkPbGBE5gt+l/Y7J8ZOP6zi19Y2szylmWXoB36cXsD6nmIZGg5+PF1MGRnGKPWQGxQR122dUdZdLT99++y0333wza9euJSQkpFPHcvmlJxFZaYyZLCLrjDHjRcQHWGuMGdupmrpJrwwKZ+prrE71wnQo2OUQIrug4qBDQYGwJOuOrJZjRCIGgE67qY6h0TTyacanzF07l/0V+5meMJ3fnvhbhkQM6dDxyqrr+DHjEN/tKmDproPsOVgBQHJkIKcPi+G04bFMHRjVrVob3SEoioqKmDBhAm+99RZTp07t9PHcERR/BYqBa4FfA7cCW40xf+h0bd2gzwWFM9UlR/eDNK2rSw6XE2+rxdHcEhl0+PZe7VRXQE1DDW9te4sXN71IRV0FFw++mNvG3UZsYGynjptzqJIlOw+yeHs+y3YXUF3XiL/Ni2mDojl9eCznjIwj9jhnRXS17hAUTzzxBI899hhDhhwZ0Pfddx+XX375cR/PHUHhBdwEnIP1xNjPsaYq7ZbzPmhQtIMxVqd68y299ruzmt477VR3GGwYHKed6n1McXUx8zbNY8H2Bdi8bNww+gauH3X9UXdIdUR1XQMr9hSyeHs+3+zIJ+dQFSJwYnIEM0b3Y8bofiRGdP043+4QFK7mtpHZPYUGRScZYz336oi+EHsr5FDGkZ3qvsFHXsKKcljrSPVeLacsh7+v+TtfZH1BbGAsd064s9UO744wxrArv5zPNh9g0eYDbNtfCsCYhDBmjO7HhWPjW30Kr6tpUDgfRzELSDTG/NP+fiXQNLnkPcaYd11WaxfSoHCjhnqr8/zQ7sNjQ5oCpeXjTgKj7KExBKKb1kMgIlUHGfYia/PW8tdVf2VL4RbGxozl3on3MibG9fe5ZBVWNIfG+pxiAE5ICueisfHMHNef2BD3XZ7SoHAeFMuA2U2PGbff/XQmEAS86qKZ7VxOg8JD6mugKMthkKFDp3p53uFy4mWNSI8eAtFDrTBpeq3jQ3qkRtPIJ7s/4e9r/05BVQEzB83kjgl3dLr/ojV7i6tYuGEfH2/Yx5Z9pXh7CacMieaSExM5a0ScyzvCt23bxvDhw7vtXVnHyxjD9u3bXRYUq4wxEx3eP2eMud3+eoUxZorrqu46GhTdUHWJ/a4s++j05ruz0qH+8MPo8As73PqIGnz4deRA8O2Wz6BUDirqKpi3cR5vbH0DHy8ffjH2F1wz8hq3TpyUnl/G+2v38sHavRworSbU34cLT+jPJRMSmZAc7pI/7hkZGYSEhBAVFdXjw8IYQ2FhIWVlZaSmph7xWUeDIt0Yc8wZ20VktzFmUGcr7Q4aFD1IYyOU5h4OjoKd1lK4G0r3Hlk2LMneB2K/hNX0OixJ78rqZnJKc3h69dN8k/MNicGJ3D/5fk5OPNmt52xoNPywu4D/rt3Los37qa5rZHi/EK6eMoCfjE/o1HOo6o+3ZuwAACAASURBVOrqyM3Npbq6uu3CPYC/vz+JiYnYbEfeEt/RoJgPfGuMebHF9luA01qbgMjTNCh6idqKw62OgqZLWfbHntSUHi7n4291pkcPdugTsbdIAo6eKU51neX7lvP4ysfJLM3krOSzuGfSPfQL6uf285bX1LNwwz5eX57F1v2lhPj5cGlaItdMGcDAVuYzVx0PiljgQ6AGWGvffCLgB1xsjMlrbV9P0qDo5YyB8vzDwdHcGtllDTw0DYfLBsXa+z+G2ANkqBUo4QPAq/sM6OrN6hrq+M/W//DvDf9GRPjlCb/kmhHXOH1+lKsYY1ibXcTry7P4dNN+6hoMJw+J5sZpqZw6NEYfk95CZ8dRnAGMsr/dYoz5xsX1cykNij6svtY+Sr0pQOzrgp1HPrXX2/dwKyR66JEhos/Kcou95Xv5y49/YXHOYgaFDeIPU/7AxH4T297RRfLLqvm/H3N4c2UWeaU1DI4N5ufTU7l4fEK3GgXuSTqOQqmKwmMHyKGMI1shwXH20HBshWhfiKssyVnCEz8+wd7yvcwcNJO70u4iwr/rxtzU1jfyv037mLc0g237S4kN8eMXpwzkysnJBPr2zvk02kuDQqnWNLVCCnbaAyQdCnZY7x0fc+ITcPhW3phhR97ea+v8qOS+pLq+mnkb5/Hq5lcJ9g3mtyf+losHX9yldxQZY1iWXsg/F6ezfE8hEYE2bpiWynUnpfTYx6F3lgaFUsfLGKgocAiQXYfvyirK4vA0uGI9VDF6qLXEDIOY4dZr7Ux3Kr0onUdXPMq6/HVM7jeZh6Y+RFJoUpfXY01WEf9cnM432/MJ9vPhmqkD+Pn0VKKC3Xdbb3fU0c7sz4HPgEXGGNfO1OFGGhTK7eqqrA70gzuODJCCXdBQc7hccD+IGQrRw+wBMsx6HRyrAwvtGk0j7+18j2fWPENdYx23jbuNa0Zeg49X118G2rKvhOe/3c2nm/YT5OvDLacM5KaTU/vMJamOBkU/YIZ9GQqsxAqOr40x5W6qa6dpUCiPaWyA4iwrQA7aL18d3A4Hd0Ktw4SQ/mH28GgKkeHW67DkPtsPkleRx+MrH+ebnG8YETmCh096mJFRIz1Sl/T8Mv762Q6+2JpHTIgfd541hMvTkvDx7t3/27hiKlQvYDJwHtZjPKqAL4wxf3VlRV1Bg0J1O02zFzaFRsGOw2vHOUNsgfY+kOH2FsgIax2R0idu5zXG8FX2Vzy+8nGKqou4duS13DruVvx9PPOY8dWZh3hi0XbWZBUxKCaI388Yzjkj43r86OzWuLyPQkSigXONMfM7WzlX06BQPUrlIXvrwx4eB7dZ69Lcw2W8/Q73f8QOtwIkdkSvDZCSmhKeWfMM7+96n9SwVB6f/jijo0d7pC7GGL7YmsdfP9vO7oMVTEqJ5JFZoxgRH+qR+riTdmYr1dNUlzpcutoO+fZ1Sc7hMk0BEuvQAulFAfLD3h948IcHKagq4KYxN/HLsb/skoF6x1Lf0Mj/rc7h6c93UFJVx7VTU/h/Zw/tVXdIaVAo1VvUlDm0PHp/gJTWlvLXH//KR7s/YljEMP48/c8MixzmsfoUV9Yy54udzF+ZRVSwH3+aNYoZo+M9Vh9X0qBQqrerKbN3oju2QHZASfbhMj7+9j6QEUdewgof0O070RdnL+aR5Y9QUlvCr074FTeOvtEjd0Y12by3hHve38iWfaXMGNWPR2eN8viUrZ3ljj6KG4wxr3a6Zm6gQaGUA8cWSL5DK8SxD8QWZAVH7AiIGw2xI611UJTn6n0MxdXF/Hnln/ks8zPGxYzj8ZMfJymk68ddNKlvaOTF7zJ45qud+Pt48cAFI7ksLbHHdna7IyiyjTHJna6ZG2hQKNUO1SVWiyN/qxUgeVus15WFh8sEx9lDY5S1xI607siyefZfzv/b8z8eW/EYBsP9k+/nooEXefSP856D5dz73038mHGI6YOjeeKnY0iK7Hnzp3R0HMXG1j4ChhpjuuWwRQ0KpTqo6cm8+Vsgb6sVHHmbrUBpmmBKvK25QJrCI260tQ5L6tJBhPvK93Hfd/exNn8tFwy8gD9O+SNBtq6ZQ/tYGhsNb/2YzZOLrLHJT106lvPG9Ky+i44GRR5wLlDU8iPgB2NMf5fW0kU0KJRysYZ6OLTHCo38rVaI5G22Bhc28QttER6jrUtZfu6b/6GhsYEXN73ICxteICkkiadOeYoRUZ6d23pvcRW3zV/L+pxibpqeyr3nDcfWQwbqdTQoXsaaG/v7Y3z2ljHmStdWs9V6XAxcAMQC/zTGfOGsvAaFUl2kpsy6bHVgk3XpqmlpHoUuEJkK/cZA3Bhr3W80hCa4tPWx+sBq7vnuHoqqi/hd2u+4cviVHr0UVVvfyOOfbuO1HzI5cUAEz105nviw7v/gSI/d9SQirwAXAvnGmNEO22cAzwLewEvGmCfbcawI4GljzE3OymlQKOVBxlgtjabQOLARDmyGoozDZQIirBZHv7FWeMSPtW7n7cQYiaLqIh5Y9gBLc5dyRtIZPDrtUcL8PDu3yMKN+7jnvY342bx5dvY4Th4S49H6tMWTQXEKUA683hQUIuIN7ATOBnKBVcAVWKHxRItD3GiMybfvNweYb4xZixMaFEp1QzVl9uDYdHjJ33q478Pbz7pU1W8MxJ9ghUjcqOO6dGWM4fWtr/P3tX8nJiCGOafOYUzMGDd9ofbZfbCcX725hl355fy/s4by6zMGd9u7ojp66WmtMWZCGwduT5kUYKFDUEwFHjbGnGt/fx+AMaZlSDTtL8CTwJfGmK9aKfML4BcAycnJJ2ZlZR2rmFKqO2moh0O7Yf9Ge8tjo/W66pC9gFgd503BET8W+p3Q5m27mws2c9eSu8ivzOeBKQ/w0yE/df93caKytp4/fLCZD9bt5aIT+vPUpWO75ax6HQ2KKmCXs+MCYW3dJnuMoLgUmGGM+bn9/TXAZGPM7a3s/xvgOqyWx3pjzL+cnU9bFEr1YMZA6b7DodG0dhw4GJpohUf/cRA/DvqPh+AjL+sUVxfz+6W/Z/n+5Vw29DLum3Sfxx7/AVZr54Ulu/nrZzuYkBzOvGvTiO5m8120FhRtDWsc3o5jN7Rd5Oj6HGNbq4lljJkLzO3AeZRSPY0IhCVYy7DzDm+vPHQ4NPZvsJYdn9L8pyM00QqO/uOh/3jC+4/nhbNeYO66ubyy+RV2Fe1izmlziA2M9dDXEm49bTCpUUH8v3fW85Pnl/HGjZNJifbcLb3t1SWP8OjspafjpS0KpfqI6lKrr2P/eti3DvautS5lNQkfAAkT+Dw0nD/mf0+QbzB/O/0ZxseO91ydgfU5xdzw6o/4eHvxxk2TGN6vezyJ1qPPejpGUPhgdWafCezFuqR0pTFmiyvOp0GhVB9WXWK1NvauhX1rYe86KMlml83GHXEx7Pfx4f7AIVyWegEknGh1mHvgktSuvDKufnkl1XWNvHrDRCYkR3R5HVry5F1PC4DTgGggD3jIGPOyiJwP/B3rTqdXjDF/dtU5NSiUUkcoPwj71lGas5zf5y5iGRVcVVLGXYeK8PEJsC5ZJZwIiWmQkAZhiV0yyjznUCVXv7ySg2U1zLsmjelDot1+Tmc6FRQiMtIYs7XFttOMMd+6roquo0GhlGpNQ2MDc1bP4Y1tbzAtdBB/9RtM6D57n0fTfOfB/azQSJoESZOtDnM3Pd8qv7Saa1/5kT0HK5h7xXhmjO7nlvO0R2eDYjPwBvBXwN++TjPGTHV1RV1Bg0Ip1Zb/7vovf1r+JwaEDuD5s56nv3805G2C3DWQu8pamgYJetmsVkfiJCs8kqdAiOv+oBdX1nLDa6vYkFPMXy4Zy2VpnnkibmeDIgj4C3AiEALMB/5ijGl0dUVdQYNCKdUeP+7/kTsX34mfjx/Pnfkco6JGHVmgPB9yfoTcHyFnldXn0TRAMHyAFRjJUyD5JGtkeSfm9KioqeeWN9bwfXoBz1x+Aj8Zn9iJb9YxnQ0KX+DPWCOpg4EHjDFvu7yWLqJBoZRqr93Fu7n1q1spqiniqVOe4tSkU1svXF9r3aKbvQJyVljrioPWZwGRDsEx1bpN9zg7yavrGrj+1R9ZlVnEv64+kbNHxnXimx2/zgbFBuAj4E9AFPBvoM4Yc6mrK+oKGhRKqeNRUFXA7V/fzrZD27hv0n3MHj67fTsaYz1VN+sHKziylh++PdcWCIkTYcA0SJlmdZbb2n4wYHlNPVe9uIJtB8p47YaJnDSo6zq4OxsUacaY1S22XWOMecOFdXQZDQql1PGqrKvknqX38G3ut1w38jp+m/ZbvKQDl5LK8yF7uRUemcusx7FjwNvXuqMqZbq1JE1qNTiKKmr52b+Xs6+4ivk3T2FcUnjnvlw7dTYojvmIDmNM9rG2e5oGhVKqIxoaG/jLqr+wYPsCZqTM4PHpj3f+sR9VRZC9ErK+t4Jj/3owjVZwJE2G1FOsJeHEIy5V5ZVWc+m/fqCsup53bpnK0LiQTn67tnU2KDZhjZMXrLueUoEdxphRTnf0EA0KpVRHGWN4bctr/G3N3zg18VTmnDYHP28XPpOpusTq28hYai0H7H9ebUEwYCqkngpDz4XooWQdquTSfy1HgPd+eRLJUe6dXtWlA+5EZAJwizHmFldUztU0KJRSnfXOjnd4bMVjTOo3iblnzCXQ5qY/0pWHIPM7yPjOCo6CHdb2iBQYci45Mafwk/8JgYGBvHXzZBIj3BcWLh+Z3Z7Hi3uKBoVSyhU+2f0JDyx7gDHRY3j+rOcJ9e2CZzKV5MLOz2HXF7DnW6ivpsEnkG/rR7HGZwKXz76WAYNHt3mYjujspaffOrz1AiYAUU0P9etuNCiUUq7yVdZX3L30bgaHD+bfZ/+bSP/Irjt5baXV2tj5ObXbP8e3PNfaHJKE7+DTIOVkq2M8LMElp+tsUDzk8LYeyATeN8ZUu6R2LqZBoZRypWV7l3Hn4juJD47nxbNfJC6oa8c3AGAM2ekbeff/Xmd8/XpOtu3EVldqfRaRar+b6mQYcjYEdizMPPr02K6mQaGUcrXVB1Zz+ze3E+kfyavnvuqZsAByiyr5+X9Wk55Xwl+me/PTyAwkc5l1V1V1CVz/qTVuowM6OsPdJzifUGhmh2rjZhoUSil32HBwA7d8eQvRAdG8cu4rHpsEqaKmnrvf28Cnmw4wa1x/nvzpWAJ8sOYkjxkGPh27S6ujQeFkLDsYY5Z0qDZupkGhlHKX9fnrueXLW4gNjOWVc18hJjCm7Z3cwBjD89/u5ukvdjAyPpR516aREN72yG9nOhoUyd11UJ0zGhRKKXdam7eWX371S/oH9ee1Ga8R7t81I6eP5ZvtedyxYD2+Pl7886oJTBkY1eFjtRYUbY1P/9DhAO93+OxKKdWLTIibwD/O+AfZZdnc9vVtVNZVeqwuZwyP48PbpxEWaOPql1by3a6DLj9HW0HhOMXTQJefXSmleqjJ8ZN56tSn2Fy4mTsW30FtQ63H6jIoJpgPb5vGDdNSSBvg+tt32woK08prpZTq885MPpNHTnqEFftXcO9399LQ2OCxuoT62/jDBSMJ8PV2+bHbCooTRKRURMqAsfbXpSJSJiKlLq+NUkr1MBcPvpi70+7my6wveXTFo/TGIQc+zj40xrg+mpRSqpe5dtS1lNSWMG/jPML8wvjtib9te6cexGlQKKWUap/bx91OSU0Jr25+lXC/cG4cfaOnq+QyGhRKKeUCIsL9k++ntKaUZ9Y8Q3xQPOelnufparmEBoVSSrmIl3jx2PTHyKvM44HvH6BfUD/Gx473dLU6rQPz/CmllGqNr7cvz57+LPHB8fzmm9+QXdrjxiwfRYNCKaVcLNw/nOfPfB6A276+jZKaEg/XqHM0KJRSyg2SQ5N59vRn2Vu+1+MD8jpLg0IppdxkQtwEHpv2GGvy1vDQDw/12DEW2pmtlFJudP7A88ktz+Uf6/5BUkgSt4671dNVOm4aFEop5WY3j7mZ7NJsXtjwAsmhyVw48EJPV+m46KUnpZRyMxHhoakPkRaXxoPLHmR9/npPV+m4aFAopVQXsHnbeOa0Z+gf3J87Ft9Bblmup6vUbhoUSinVRcL9w3nujOeob6zn19/8mvLack9XqV00KJRSqgulhKXwt9P+RkZJBr9f+nuPPpq8vTQolFKqi02On8x9k+7ju73f8cyaZzxdnTb1iKAQkSARWSMiPetWAaWUasXlwy/n8mGX85+t/+GDXR94ujpOuTUoROQVEckXkc0tts8QkR0iki4i97bjUPcA77inlkop5Rn3TLqHyfGTeXTFo6zNW+vp6rTK3S2K14AZjhtExBv4J3AeMBK4QkRGisgYEVnYYokVkbOArUCem+uqlFJdyuZlY86pc0gITuDOxXeyt3yvp6t0TG4NCmPMUuBQi82TgHRjzB5jTC3wNjDLGLPJGHNhiyUfOB2YAlwJ3Cwix6yziPxCRFaLyOqDBw+68VsppZTrhPmF8Y8z/kG9qef2r2+noq7C01U6iif6KBKAHIf3ufZtx2SM+YMx5k7gLeBFY0xjK+XmGWPSjDFpMTExLq2wUkq5U2pYKk+f+jQZJRncu/ReGo/9Z85jPBEUcoxtbT4pyxjzmjFmoRvqo5RSHndS/5P4/cTf823utzy37jlPV+cInnjWUy6Q5PA+EdjngXoopVS3csXwK9hRtIMXN73I8MjhnJNyjqerBHimRbEKGCIiqSLiC8wGPvZAPZRSqlsREf4w+Q+cEHMCDyx7gB2Hdni6SoD7b49dACwHholIrojcZIypB24HPge2Ae8YY7a4sx5KKdVT+Hr78sxpzxBiC+GOxXdQVF3k6SohPXUiDWfS0tLM6tWrPV0NpZTqsE0HN3H9Z9czPnY8/zr7X/h4ub+nQETWGGPSWm7vESOzlVKqrxkTM4YHpz7IygMrmbN6jkfrohMXKaVUNzVr8Cy2H9rOm9veZHjkcGYNnuWRemiLQimlurHfpf2OyfGTeWT5I6zYv8IjddCgUEqpbszHy4c5p85hQOgAfvPNbzwyO54GhVJKdXNhfmG8eM6LxATEcOtXt7KtcFuXnl+DQimleoDogGhePOdFgnyDuOXLW9hS0HWjCjQolFKqh+gf3J+XznmJQFsgN3x+A0tylnTJeTUolFKqBxkQOoA3z3+TgWED+c3i3/D29rfdfk4NCqWU6mGiA6J55dxXOCXhFP688s/MWT3HrU+c1aBQSqkeKNAWyN9P/zuzh83mtS2vcfeSu6lpqHHLuXTAnVJK9VDeXt7cP/l+EkMSeXr10+RX5jP3jLlE+Ee49DzaolBKqR5MRLhu1HXMOXUO6cXpZJZmuvwc2qJQSqle4JyUc5gcP5kwvzCXH1tbFEop1Uu4IyRAg0IppVQbNCiUUko5pUGhlFLKKQ0KpZRSTvXKqVBFpATY5aRIGFDSymfRQIHLK+V+zr5Tdz5XR4/Vkf3au097yjkro7+v7nOuzhzrePftqt+Xs887+/saYIyJOWqrMabXLcC8jn4OrPZ0/d3xnbvruTp6rI7s19592lOujd+Q/r66ybk6c6zj3berfl/OPnfX76u3Xnr6pJOf90Rd+Z1cea6OHqsj+7V3n/aUc1ZGf1/d51ydOdbx7ttVv6/jOZdL9MpLT50hIquNMWmerofqnfT3pdzJXb+v3tqi6Ix5nq6A6tX096XcyS2/L21RKKWUckpbFEoppZzSoFBKKeWUBoVSSimnNCiUUko5pUFxnEQkSETWiMiFnq6L6l1EZISI/EtE3hORX3m6Pqp3EZGLReRFEflIRM45nn37TFCIyCsiki8im1tsnyEiO0QkXUTubceh7gHecU8tVU/lit+XMWabMeaXwM8AHWuhmrno9/WhMeZm4Hrg8uM6f1+5PVZETgHKgdeNMaPt27yBncDZQC6wCrgC8AaeaHGIG4GxWM9S8QcKjDELu6b2qrtzxe/LGJMvIjOBe4HnjDFvdVX9Vffmqt+Xfb85wHxjzNr2nr/PTIVqjFkqIiktNk8C0o0xewBE5G1gljHmCeCoS0sicjoQBIwEqkTkU2NMo1srrnoEV/y+7Mf5GPhYRP4HaFAowGV/vwR4Elh0PCEBfSgoWpEA5Di8zwUmt1bYGPMHABG5HqtFoSGhnDmu35eInAb8FPADPnVrzVRvcFy/L+DXwFlAmIgMNsb8q70n6utBIcfY1ua1OGPMa66viuqFjuv3ZYz5FvjWXZVRvc7x/r7mAnM7cqI+05ndilwgyeF9IrDPQ3VRvY/+vpQ7ddnvq68HxSpgiIikiogvMBv42MN1Ur2H/r6UO3XZ76vPBIWILACWA8NEJFdEbjLG1AO3A58D24B3jDFbPFlP1TPp70u5k6d/X33m9lillFId02daFEoppTpGg0IppZRTGhRKKaWc0qBQSinllAaFUkoppzQolFJKOaVBofokEWkQkfUOS3seMe92DvXqLyIr7a+zReSgQ11TWuxzmogsb7HNR0TyRCReRJ4SkQMicldXfhfVe/T1Zz2pvqvKGDPOlQcUER/7IKjOcKzXZPtxrwfSjDG3t7LPUiBRRFKMMZn2bWcBm40x+4G7RaSik/VSfZi2KJRyICKZIvKIiKwVkU0iMty+Pcg+ecwqEVknIrPs268XkXdF5BPgCxEJFJF3RGSjiPyfvVWQJiI3icgzDue5WUT+1oH6DRKRz+yzLH4nIsPtTzF+lyMno5kNLOjUfwyl7DQoVF8V0OLSk+Mf2QJjzATgBaDpcs0fgG+MMROB04GnRCTI/tlU4DpjzBnArUCRMWYs8CfgRHuZt4GZImKzv78BeLUD9Z4H/NoYc6K9bs/bty/ACgdExA84H3i/A8dX6ih66Un1Vc4uPf3Xvl6DNT8EwDlYf+ibgsMfSLa//tIYc8j+ejrwLIAxZrOIbLS/rhCRb4ALRWQbYDPGbDqeCotIMHAS8K41Bw1gzV2BMWaViASLyDBgBLDCGFN0PMdXqjUaFEodrca+buDw/0cEuMQYs8OxoIhMBhyv/x9rjoAmLwH3A9vpWGvCCyh2EnBvY7UqRqCXnZQL6aUnpdrnc+DX9ukkEZHxrZT7HviZvcxIYEzTB8aYlVjzB1xJB/6QG2NKgQwRucx+fBGRExyKLACuBs5AH2euXEiDQvVVLfsonmyj/J8AG7BRRDbb3x/L80CM/ZLTPcBGoMTh83eAZZ24LHQVcJOIbAC2ALOaPjDGbAUqsfpS9C4n5TL6mHGlXEhEvLH6H6pFZBDwNTDUGFNr/3wh8Iwx5utW9i83xgS7oV4PA+XGmKddfWzV+2mLQinXCgS+t/+L/wPgV8aYWhEJF5GdWJ3oxwwJu9KmAXeuqpCIPIV1SUpbGapDtEWhlFLKKW1RKKWUckqDQimllFMaFEoppZzSoFBKKeWUBoVSSimnNCiUUko5pUGhlFLKKQ0KpZRSTmlQKKWUckqDQimllFMaFEoppZzSoFBKKeWUBoVSSimnNCiUUko5pUGhlFLKKQ0KpZRSTmlQKKWUckqDQimllFMaFEoppZzSoFBKKeWUBoVSSimnNCiUUko5pUGhlFLKKQ0KpZRSTmlQKKWUckqDQimllFMaFEoppZzSoFBKKeWUBoVSXUhEIkXkAxGpEJEsEbmyjfK3i8hqEakRkdeclCt3WBpFpMrh/VVtnONzEXn0GNtnicgBEfFp9xdUvZIGhVJd659ALRAHXAW8ICKjnJTfBzwGvOLsoMaY4KYFyAYuctg2v406vQZcIyLSYvs1wHxjTH0b+6teToNC9Xgikikid4vIRvu/1F8WkTgRWSQiZSLylYhEdIN6BgGXAH80xpQbY74HPsb6g3xMxpj/GmM+BAo7ee7+IvK+iBwUkQwR+Y3Dxx8CkcDJDuUjgAuB1ztzXtU7aFCo3uIS4GxgKHARsAi4H4jG+p3/pvVdj5+ILBSR4laWha3sNhRoMMbsdNi2AXDWonBFXb2AT+znSgDOBO4UkXMBjDFVwDvAtQ67/QzYbozZ4M66qZ5Bg0L1Fv8wxuQZY/YC3wErjTHrjDE1wAfAeBFJsf+L+hsRWSIic0QkEMD+mRGRs+3vxd6H8PCxTmaMudAYE97KcmErdQwGSlpsKwFCXPD9nZkIxBhjHjXG1Bpj9gAvArMdyvwHuExEAuzvr7VvU0qDQvUaeQ6vq47xPtj+eokx5gxjzKlABfCIQ7lVwKX211OAAy6uYzkQ2mJbKFDm4vO0NADo79jqwWptxTUVsF8GOwjMEpGBWOHylpvrpXoIDQrVlz0GzHR4nw0k2O/yuQx4t7Ud7f0f5a0si1rZbSfgIyJDHLadAGzp5PdoSw6Q0aLVE2KMOb9FudexWhLXAF8YY/KOOpLqkzQoVJ9ljKkFfFtsXgycjtWfsN3Jvuc53mnUYjmvlX0qgP8Cj4pIkIhMA2YBb7R2HhHxERF/wBvwFhH/Dtyu+iNQKiL3iEiAiHiLyGgRmdii3OvAWcDN6GUn5UCDQvVZIuIH1LTY/B7wJLDSTae9FQgA8oEFwK+MMc0tCntL5X6H8g9gXTq7F7ja/vqB4zmhMaYBq4N/HJABFAAvAWEtymUCPwBBWHdjKQWAGGM8XQeluoSIpABPG2Mutb9/GPA3xtzr+JmIzAFeAIYDacaYhz1RX6W6Cx1xqfqaU0XkG6xLOT8CD7YsYIz5HYCIDO/iuinVLWmLQimllFPaR6GUUsopDQqllFJO9co+iujoaJOSkuLpaiilVI+yZs2aAmNMTMvtvTIoUlJSWL16taeroZRSPYqIZB1ru156Ukop5ZQGhVJKKae6fVCIyED7/ALvebouSinVF3kkKETkFRHJF5HNLbbPEJEdIpIuIvcCGGP2GGNu8kQ9lVJKea5F8Roww3GDiHhjTRN5HjASuEJERnZlpQ5WHqSkpuV0AUop1bd55K4nY8xS+7N1HE0C0u2TqiAib2M9WXNrV9XrnIzg0gAAIABJREFUH+v+wQfpHxDpH8nAsIGkhqWSGpba/Do+KJ6jpxVWSqnerTvdHpuA9dz8JrnAZBGJAv6MNUPZfcaYJ461s4j8AvgFQHJycocqcInvZEbHhrI1qITd5Zl8kfXFES2MQJ9ABoYNZFD4IIZEDLGW8CFEB0RrgCileq3uFBTH+ktrjDGFwC/b2tkYMw+YB5CWltahB1jFvPcdvh99xFibDd9Bg/AbOo3GQUkU9A8iI6aRnZJPesluvt/7PR/t/qh5v3C/8ObQGB45nGGRwxgcPhhf75ZTHSilVM/TnYIiF0hyeJ8I7OvKCkT98haCpk+nZucOqrfvoHLlSuo//hh/YAQwOjIS///P3p3HR1XdfRz/nJksk0wWsgOBEHYCIQu7oIgigis+dat1qdVKi7XLY6vVrra21mprtY+tWkWsVnGrqLjgirLKDoFAAmFPyL5PMpOZzJznjzskIZIQkkkmJL/363VfM3c/t07z5Zxz77njxhI85hIaRw3l+MAgciPqyLMdYn/lfpbnLcfeaAcgQAUwfMBwxkUZwTEuehzjoscRGRzZbhmEEKK38dvosd4+ive01qne+QCMV0XOBQow3l/8rZYvdemoKVOmaF89md1YWUnDvv005ObgyM2lISeXhv370U6ncR2BgQSNGoVl3DiCxo6hJjmGvDg3OQ1Hya3MJacih5L6kqbjDbIOYmz0WFKiUxgXPY6U6BQGWgdK05UQwu+UUlu11lO+ttwfQaGUWgbMAWKBYuC3WuslSqlLgccx3hXwvNb6j505vi+D4lR0YyPOw4dx5OTSkLMXR04ujr17cZeXN20TOHQolpQULONTcI0ayuGBJnIoYm/FXnIqcjhcfRiN8b99ZHAk46KMGse4GCM8kiOSMZvM3XYNQgjRWq8Kiu7W3UHRFldJCQ05OTj27MWx15hcR482rQ+IjzfCY8IE1NiR5CcGk2MuIacyl70Ve8mrzMPpMWoqFrOFMVFjTgqP0VGjCTYH9/h1CSH6BwkKP3HX1uLYu5eGvXtx7NmDPTsb58FD4PEAYI6JwTJhPJbx4wkcn0LJsAhyveGRU5FDTnkOta5aY1tlZnjk8OZmq5gUxkaPJSIowp+XKIToIyQoehFPfb3RXJWdjWPPHhx79tCQlwduNwDmuFhCJqRimZiKZcIEKkfEsk83N1vtLd9Lqb206XiJYYmMjxlvTNHjSYlJIcoS5a/LE0KcpSQoejmPw2E0V+3OxrF7F/bd2TgPHgTvf5/AwYOxpKURMnEiIWkTqRuRQK7jaFNw7CnfQ74tv+l4g6yDmsJjQswExseMl/AQQrRLguIs5LbV4diTjWPXbuy7d+HI2oWroMBYaTIRPGoUlrSJhKSlEZKejmNoHLnV+5uCY0/FHo7UNA8vnxiWyISYCaTGppIam8r4mPFYA61+ujohRG8jQdFHNJaXY9+1C0dWFvZdu3FkZeGuNp4eV6GhhKSmEpKeTkhGOiFpadgjLewt38vu8t1kl2WTXZ5Ngc0IG4VieORwUmNTSYtNY2LcREZHjSbQFOjPSxRC+IkERR+ltcZ19Cj2rF3Yd+7EvmMHjpwcaGwEIDAxkZCMDGPKzMQydgyV7lqyy7LZXb6b3WXGVOGoAIy7rcbHjGdi7ETS4tJIi0tjoHWgPy9RCNFDJCj6EY/DgWPPXuw7djSFR2NxMQAqJMTo58jMJCQzg9CMDEyRkRTYCthVtous0ix2le1ib/neplt140PjSY9Lb5rGx4yX4UmE6IMkKPo5V2Eh9h07qN+2Hfv27Tj27m26yypo5EhCJ00iZPIkQidPJnDIEBo9jeRW5rKzdCc7S3eSVZrV1GQVZAoiJSaF9Lh0MuIzyIzPJDYk1p+XJ4TwAQkKcRJPfT323buxb9tO/fZt2Ldtx1NrPK8REBdHyOTJhE6aROiUyQSPHYsymymzl7GzxAiOHaU7yC7Lbqp1JIUnkRGfwaT4SWQmZDI8YrgMSyLEWUaCQrRLezw07N+Pfds26rduo37bVhqPFwJgCgsjJDOT0ClTCJ06BUtqKqagIFxuF3sq9rCjZAfbirexvWQ7lQ2VgDGibmZ8JpMTJjM5YTLjoscRYOpNY1AKIVqToBBnzHX8OPVbt1K/ZSv1W7fgzDsAgAoOJiQ9ndCpUwmdOoWQjAxMFgtaaw7XHGZ7yXa2FW9jW8k2jtUarxgJDQglIz6jKThSY1NlOBIhehkJCtFljRUV1G/Zgn3rVuo3bzHurvJ4UIGBWNLSCJ02Feu0aUZwhIQAUFJfwrbibWwt3srWkq3sr9wPGP0cE+MmMnXgVKYNnEZ6XLp0kAvhZxIUwufcNps3NDZTt2kzjt27jTGsAgMJSUvDOn0aodNnEJKRjinYqD1UN1Q3Bcfm4s3kVOTg0R6CzcGkx6U3BcfE2IkEmuV5DiF6kgSF6HYngqNu0ybqN27CsWePUeMICiJk0iSsM6YTOn06IampqEAjBGqcNWwr3samok1sLtpMbkUuGk1IQAiTEiYxfeB0ZgyawdjosZiUyc9XKETfJkEhepy7tpb6zVuo3/gVdRs30ZCTA4DJajU6xmfMwDrzHILHjGm6Q6q6oZotRVvYWLSRTYWbOFBt9ItEBUcxfZARGjMGzyAxLNFv1yVEXyVBIfyusbKS+o2bqNv4FfVfbcR56BBgDLVunTED68yZWGeeQ+CgQU37lNaX8lXhV3xV+BUbjm9oGjV3aPhQZg6eyazBs5g2aJqMWSWED0hQiF7HVVRE3YavqFu/nroNG3CXlQEQlJyMddYsrLNmETptGuYwIwS01hysPshXhV+x/vh6Nhdtxt5oJ8AUQGZ8JrMGz2JW4izGRo2VZziE6AQJCtGraa1p2Lefug3rqVu/nvrNW9B2OwQEEJqRgfW887CeOwtLSgrKZPRVON1OdpTsYO3xtawvWE9uZS4AcSFxzEqcxbmJ53LO4HPkxU5CdJAEhTireJxO7Nu2U7duLba162jYuxfwNlPNmknYeedhnTWLgOjopn1K60tZd3wd6wrWse74OmqdtZiVmcz4TGYPmc3sIbMZETlCahtCtEGCQpzVGktLsa1bR93addStXYu7qgqUwpI2kbDZswmbfT6WCeObahuNnkaySrNYU7CGNflrmmobiWGJnJt4LucPOZ/pg6bLsxtCtCBBIfoM7fHgyM7Gtno1ttWrcWTtAq0xx8QQdt55hJ0/G+usWZgjmpuciuqKWFOwhtX5q9lYuBF7o53QgFBmJc7igqEXMHvIbCKDI/14VUL4nwSF6LMaKyqoW7sW25ersa1di6e62ujbmDSJsDlzCJszh+ARw5u2b3A3sLFwI6uOreLLY19Sai/FrMxMSpjEhUMv5IKkC+T2W9EvSVCIfkE3NmLfuRPbF19i++ILGvZ7hwwZNoywCy4gbM4cQidPanrgz6M9ZJdls+rYKlYdW0VeVR4AKdEpXJB0AfOS5jFywEjp1xD9ggSF6Jec+QXYvvwC26ovqN+4Ee1yYQoPJ2z2bMLnXoh19mzMYWFN2x+tOcrnRz/ns6OfsbN0JxpNckQy84bNY+6wuYyPHi+hIfosCQrR73nq6qjbsIHaVauwrfoCd0UFBAZinT6d8LkXEnbhhQQmJDRtX1pfymdHP+PTI5+ypXgLbu1msHUwFw27iAXJC0iNTZXQEH2KBEUHvLLxKFuPVGIJNBEcYCY40ERwgPd7gIngQBMW73JL03pz8/YBJiyBxrwl0JiXPyS9k3a7se/YQe2nn1H7+We4jhwFwJKWRvhFFxF+0UUn9WtUOir54tgXfHLkEzYUbqDR00hiWCLzk+ezIHkB46LHyX9rcdaToOiAhz7Yy/tZhTQ0umlo9NDg8uB0e7pUlhPhEdIiQE6ESUjTd3PTNiFBzctDgrzLAs1YWnwPDTLWhwYZ21gCzJhM8keqs7TWOA8cMELj00+NUXAxXhEbfvE8IubNIzgl5aTxqFYdW8XKwyvZeHwjjbqRYRHDmJ88n8uGX8aIASP8eTlCdJoERSd5PBqn24PD5cbZ6MHh8uBodNPg8tDQ6MbR4tPhcjets7vcNLjcOBq9y13GNnbv9wbvcRwuN3aXG7vTQ4PLTb3Ljdtz5v9NQloEh/EZQKh3WWhwANYgM6FBAYQFe+eDvd+DArAGBWANNhMWHECYxVhnDQrA3E/Dx1VY2BQa9Zs3g8dD4JAhhM+bR/i8eYRkpDc9r1HlqOLTo5+y8vBKNhdtxqM9jI0ay6UjLuXS4Zcy0DrQz1cjRMdJUJxFnI3eEHG6qXd6g8Tlxu70Tq7mz3qnG7uzscV347PeZSyv987bGhqxO93UORvp6H/y0CAz1uAAwr0BEhYc0BQmEZbApu/hlgDCLYGEe5dHWAKICDHmQwLNZ3WTTGNFBbWffUbtJ59Qt+ErcLkIiI8nfP58Ii5ZQEhGRlNolNnL+OjwR3xw8AOyyrJQKKYNnMZlIy5j3rB5hAWFneZsQviXBIUAjBqS3WUERn2DESB1DY3UORuxNbixOYz5lstrHc3ztY7meVtD42lrPwEmRURIc3hEhgQaYRLSPB8ZEsiAkKDm76GBRIYGEh4c0KtCxl1bi+2LL6j56CPqVq9BO50EJCQQsWA+4fMXnFTTOFpzlPcPvs+Kgys4VnuMYHMwFwy9gCtGXsHMwTPl/eGiVzprg0IpNQL4JRCptb6mI/tIUPQMrY3QqXU0UmN3UeNopNbhMuZPfNpdVNubl1XbXU3bVttdOBvb7gMyKYgMCSQqNIjIUONzQKgRKlGhgURZg4i2BhEV6v20GtsEmrv/BUdumw3bqlXUrPyIutWr0S4XAYMGEbFgARGXXooldQJKKbTWZJVl8d6B91h5eCVVDVXEhcRx+cjLuWrUVYyIlP4M0Xv4JSiUUs8DlwMlWuvUFssXAE8AZuA5rfXDHTjWmxIUfY/D5aaq3giQaruLqnonVd4wqap3Uemdrz7xvd7Yps7pbvOYEZYAb3AEEeMNk5iwYGKsQcSEBRFtNb7HhQcTbe16sLhra43Q+HAltrVrweUicFgSkZddRsTllxM8wggDl9vF6oLVvJ33Nmvy1+DWbtLj0rlq1FUsSF4gTVPC7/wVFLMBG/DiiaBQSpmBfcA8IB/YDNyAERp/anWI27TWJd79JChEk4ZGI2Aq6pxU1DmprHdSWe+iwmZ8P7G8vM5Jua2BijonjW00kw0IDSTWGySx4cHEhQUTF948xXs/Y6zBp+3gd1dXU/vJJ9R88AF1X20Ej4fg8SlEXnY5EZddSuBAo3O7zF7GigMreDvvbQ5WH8RitnBx8sVcPfpqMuMze1WTm+g//Nb0pJRKBt5rERTnAA9ored75+8H0Fq3DonWx2k3KJRSi4BFAElJSZOPHDnik/KLvkFrTY2j0QgPWwNlNidltgbKbA2Ut/heZnNSWtuAraHxa8cwKYgJM4IjIcJCQsSJT+N7fLiFgZEWokODMJkUrpISaleupHrFezh27QKlCJ0yhcirFhI+fz7msDC01uwq28XyvOV8eOhD6lx1JEckc82Ya7hy5JVEWaL88L+W6K86FRRKqawOHLtUaz23nWMkc3JQXAMs0Fp/1zt/MzBda31XG/vHAH/EqIE8d7pAAalRiK6zO92U1jZQanNQUtNAqa3BmK9toLjGQYn3s7zO+bW7yALNioQIC4MiLQyKDGFQpIVkRwXJO9cRufZTVMExVHAw4XPnEnnVQqwzZ6ICAqh31fPxkY95c9+b7CzdSaApkHnD5nHNmGuYkjBFahmi27UVFKe79cIMXNrecYF3z7Qsp1jWZlpprcuB75/hOYTokpAgM0kxoSTFhLa7ncvtaQqP4hoHRdUOimoaKKy2U1TtYMexKlbudngf3JwAU8YzduRR5hdsY/ZnX1LzwQfYwyIpnT4Hz8WXMSR9Nn+ZtYDqxiO8lfcWKw6s4INDHzTVMq4adZUMhy563OlqFOdqrde2e4DTbOOrpqcz0ekaxeYlcHwbRCXDgGTjMyoZrLEg/5oTnaS1przOSVG1g4IqOwWVdgqq7BSW1RKRtYnxu9aSkZ9NoHazPzKRT5Omsi55MpEJsQyONmMKy6LQs4qihlwCTUEsSL6Um8d/i5SYFH9fmuhjOtv09DPgNa31sS6cOJmTgyIAozN7LlCA0Zn9La11dmfP0Vqng+KT38LOZWArPnl5YGhzaAwY1vw9ejgMSILAkK4XWvRrtuIyCt56m4b3VhB4YB9ucwAHx0ziy5Ez+Mw6nKoGN6bgQgKjNhAYuR1lcmFxj2S0ZT5T489nZNwARsRaSY61EhYsz2iIzulsUPwNuAY4BCwD3tBal53BSZcBc4BYoBj4rdZ6iVLqUuBxjKat57XWfzyDazmtLvdROOug6ihUHoGqI8Zn5WHje8UhcNWdvH34oOYAiR7uDRLvZ1i81EbEGXHk5lL91ltUv/Mu7qoqAhISCLniSqrOn89RSzS5pSWsL/6Qg45PcJpK8DSG4aqcjqtqOroxgrjwYEbEWhkRF8bIOCsj4qyMiA1jaHRovx2WRXRMp+96UkYP2mzgm8BCYCdGaCzXWtd2Q1m7rFs7s7WGurLm0Kg81BwklYeg5jgndbk01UaGtwqSZKM2EhDcPeUUZz2P04nt81VULX+LujVrweMhdMYMoq67lvCLLkIHBrD++Hr+s+cV1h1fg1kFMCJkJjHuuZRXJHCwrI6qelfT8YICTIyItTI6IZzR8WHGlBBOckwoAT3wkKLo/Xxye6z3GYiLgIeBsVrr9nv6/MSvdz25HN7ayOHm8Kg45K2ZHAZXfYuNFUQMbg6R1jWS0GipjQgAXMXFVC9fTtUbb+IqKMAcHU3k/1xF1HXXETRsGEdqjvBqzqssz1tOnauOzPhMbhl/CxkxszhSbudAaR0HSmzsL7Gxr7iW/Ep707GDzCZGxocxbmA4YweGkzIogpSB4cSFB8udVv1Ml4NCKTURo1ZxPVAOLNNaP+7TUvpIr709Vmuj/6PyyMkBcqJm0rpvJCjcGxotm7WGN9dGzIF+uAjhT9rjoW7dOqpef53az1eB223UMr55PeFz51KnG1iet5yX975Mga2AxLBEbky5kf8Z9T8nPfld72zkQEkd+4pr2VdSS26RMRVWO5q2ibEGGaExKJzxgyOYmGj0g8iQ9n1XZ/soRmOEww2AG3gVIyAOdldBfaHXBsXpOOu9tZFDzTWSihbf3Q3N2yoTRA45RZOW9zNkgB8uQPQkV3EJ1cvfour1N3AdP445LpYB11xD1PXXY4qP4/Njn/OfPf9hW8k2rIFWrhl9DTeNv6ndoc+r6p3sLawlp6iGvYU17C2sJbe4tmlMLmuQmQmDI5mQGMHExEjShkQyIjZMwqOP6GxQHMToj3hVa72rG8vnU2dtULTH4wFbUYvwOHTy9/ryk7cPiTo5OFpOEYlgljtj+grtdmNbs4bKZcuoW70GTCbCL7yQqBu/Rej06WSXZ/Pinhf5+PDHKKW4bPhlfCf1O4wcMLJDx290ezhQWseugmp2F1Szq6Ca7OPVOFxGeIQHB5CaGEn60AFkJhlTfLilOy9ZdBNfND0NA0ZrrT9VSoUAAf2yM7u3ctS0aMY63Ny0VXkYqo+Bp8WQFKYAiBz69QA5USuxyANdZytnfj5Vr75K1Zv/xV1VRdCokUTdcAORC6+iUFfy4p4XWb5/OQ63g/OHnM93Ur/DpPhJZ9wXcSI8svKryMqvZmd+FXsLa3C5jb8niQNCyEgaQObQAUwaFkXq4EiCAqTDvLfrUlAope7AGEcpWms90tsk9XR7Q3f4U78Miva4G6Emv8XdWYdP7huxV568fUj015uyTgRJ+GAwyf/hezuPw0HNBx9S+fLLOLKzMVmtRH7jG0TffBN18eG8mvMqr+S8QlVDFRlxGdyRdgfnJZ7Xpc5rh8tN9vEath+tZPuxKnYcraKgyug0twSayBwaxdTh0UwfHk1m0gBCg6RW29t0NSh2ANOAjVrrTO+yXVrriT4vqQ9IUJwhR3WLu7QOn9y0VXUMdIshvc3BzZ3rUcON8Ige4Q2UYXK7by+jtcaRlUXFyy9T8+FKaGwk7MILib7lFtSkVN7Oe5sXsl+gsK6QsVFjuSPtDuYNm4dJ+eYfAyU1DrYeqWTT4Qo2HapgT2ENWhsvtEpNjGTGiBhmjIhmSnK0PCjYC3Q1KDZqracrpbZrrTO9T1dv01qndUdhu0qCwofcLqjO/3qfSMVh49Npa7GxMvo/opIhOrk5QKJHGIEiTVp+5SopoXLZMqpefQ13ZSXBKSlE33ILoZfM48P8T3lu13McrjnMyMiRLEpbxPzk+ZhNZp+WocbhYuuRSjYfqmDjoQqy8qtwuTUBJkXG0AHMHBXLrJExZCZFSVOVH3Q1KB4BqoBbgB8CdwJ7tNa/9HVBfUGCooecePiwqT+k5edBqCs9efvQmFbhMaL5ll8ZT6vHeBwOqlesoPLFF2nYn0dAXBxRN99MxLVX83nVJp7Jeoa8qjySI5JZlLaIS4Zf0m2vbq13NrLtSBXrD5Sx7kA5u/Kr8GgICTQzbXg0546KZc7YOEbFh8kzHT2gq0FhAm4HLsYY/fUjjCG/e+V7VCUoeomGWm8t5GBzgJQf8Haw53PSE+xB4UYtpGUN5ETTVkQi+PhftsJolqpbt56K55+nbv16VGgoUddey4Bbb2G1M5tndj5DbmUuQ8OHsihtEZePuLzb3/VdbXfx1cFy1ueVsTavjAOlxnA5iQNCuGBcHBeMjWfmyFhCguT30B3O2ndmd4YExVmgsaHFg4cHT66JVB4BT/PQE5iDjAcMTwRHy76RAcMgUG7F7CpHTg7lzz9PzfsfgMlE5BVXEH37bWwIPMpTO59ib8VekiOSuTPjTuYnz/dZH8bpHK+y80VuKatyS1iXV0a9001QgIlzRsRw0fgE5qUkMDBS/vv7Smefo1gIDNFa/8M7vxGI867+udb6je4obFdJUJzlPG6oKThFc5a3n6ShpsXG3n6R6FOESNRwsET46yrOSs78AiqWLqXqzTfRTifhF11E9KI72BBZwpPbnySvKo/RUaP5QcYPuHDohT3aHNTQ6GbzoUpW5ZbweU4Jh8qM2kb6kEgWpA7isomDTvv+ENG+zgbFOuCbJ4YZ9979NBewAkvl9ljR47Q2Hi5sWQNpt18k9uTgONGsFT3C6DORdu9Taiwvp+Kll6h8+RU8tbVYZ84k+geLWR1VwlM7n+JwzWEmxEzgrsy7mDV4ll/6D/JKbHy8p4iPsovZeawKgNTECC6dOIhLUweRHGvt8TKd7TobFJu11lNbzD954pWlSqmvtNYzuqW0XSRB0Y+d1C9y8OTaSOt+keCIFrWQESdP4QMlRAC3zUbVq69SvvQF3OXlhM6YQfSd3+Oz6CKe3vk0BbYCJidM5ieTfkJGfIbfyplfWc+Hu4p4f1chO7yhMX5QBFdlDuaqzER5UryDOhsUeVrrUW2sO6C17tgYAD1MgkKc0ol+kYqDLWojB5sHZ2z59Hpg6Mm1j+iRxmfMSAgb2O8eOvTY7VS+9hrlS5bgLi0jdOpUBiz+Hh9EHeGZrH9R7ihnzpA5/HjSjxkVdco/GT2moMrOh7sKWZFVyM5jVZhNitmjY7l68hAuSknAEigd4W3pbFC8DHyhtX621fLvAXO01jf4vKQ+IEEhzpi7EaqPGqHRFCDeqfIwuJ3N2waGGsERMwJiRp08hUb77RJ6gsfhoOr1Nyh/9lkaS0sJmTKZiDsX8d+wXJ7f/Tz1jfVcOfJKfpDxg3YHH+wpeSU2/rstn+XbCiiqcRBhCeCK9MFcP3UoExMj5ZbbVjobFPHA20ADsM27eDIQDFyltS5ua19/kqAQPuVxG81WFQeM23srDkF5njG1rolYBrQKD2+YRI+E4LC2z3GW8TQ0UPXGm5Q/8wyNpaWETp9OyPe/w78DNrEsZxkKxY0pN3L7xNuJDPb/g5Zuj2b9gTLe3JrPR9lFOFwexg+K4IbpSVyVMZhwiwzZD11/juJCYIJ3Nltr/bmPy+dTEhSix7hdxtDw5XlQtr85TMrzjDu3Wgof5K2JjDw5TKKSISDIL8XvKo/DQdVrr1H2r2dxl5djnX0eatGNPO34mBUHVhAWFMYdE+/gxpQbCTL3jmuscbh4Z3sByzYdY09hDdYgM1dPHsIt5wxjVHy4v4vnV/IchRA9zVlvNF2V5zUHyIkwaTksvDIZz4m0bsaKGeV92LD394d46uupfOUVyp59Dk91NeELFmC75XKeqHiTtQVrSQxL5O7JdzNv2Lxe09yjtWZnfjUvbjjMezsLcbo9zBoVwy3nJDN3XHy/fD2sBIUQvYm90lvz8NY+yvc3z7vqmrcLCDE60WNbBshoYz4kyn/lb4O7tpaKpUupeOHfeBwOIhcu5Oi1M/jzsaXkVeUxKX4S9069lwmxE05/sB5Ubmvg1c3HePmrIxyvdpA4IIRvzxzGt6YP61eDFUpQCHE20BpqC72hsR/KvLWRsv1Gp3rLkXxDY4zQiBnlDZLREDva25Tl31F8GysqKP/Xs1S+8gpoTeRNN7J+3iD+vn8JFY4Krhx5JT/M/GGv6PBuqdHt4dO9Jbyw/hBfHawgMiSQb58zjFtnDSfa2juazrpTZzuzPwJWAh9qrXO6sXw+JUEh+iS3ywiLE/0hJzrUy/ZDXUnzdspkDG0SO9obJN4+kdjRRj9JDzb9uIqKKP37/1G9fDnmiAjCv3c7r0+o4cV9r2A2mbkt9TZunXArloDe95zD9qOVPPXFAT7eU4wl0MQ3pyaxaPYIBg8I8XfRuk1ng2IgsMA7jQE2YgTHZ1prW5s7+pkEheh3HNXe0Mhrbso6URtx1TdvFxTmDQ5v7aMpTEZBUPcNf+HIyaHkkUeoW7+BwKQkzHd+m/+L3MwnRz9lsHUwd0+5m4uHXdxr+i9a2l9cy9NfHuSdHcZFjM7NAAAgAElEQVTNCVdPGsJdF45iaHTfGy7EF69CNQHTgUswhvGwAx9rrR/xZUF9QYJCCC+PB2qPN9dAyvY3h0j1MU56Uj0yyQiOuLEQO8b7ORasMT4pitaaurVrKXnkURr27yckM5PyRVfyUO0b7Kvcx7SB07h/2v1+f2CvLfmV9Ty7+iDLNh1Do7luylDuunAUgyL7Tg3D530USqlYYL7W+uWuFs7XJCiE6ACXvUVfyH4ozYWyfcb3RnvzdqExRmDEjT05RCISO9WMpd1uqpcvp+SJJ3CXlhF+xeVsXDiax479mzpXHTeMu4HFGYuJCOqdAzoWVtv5x6o8Xtt8DJNSfPe84Xz//JF94lkM6cwWQnSMx2PUNsr2ecMjF0r3QWkOOKqatwsK84bGOG+IeD8HDOvQLb1uWx3lzz5LxdKlYDJhvf1m/p1ezeuHlhNlieInk37CwlELe2xI8zN1rKKev3ycyzs7jhNjDeLHF43mhmlJBJ7Ft9VKUAghukZrY3TeluFRlgslOWArat4uIATiWgZICsSPgwHJpwwQZ34+JY88Su3HHxM4ZAjOu27kocBP2FmWRVpsGr+a8StSYlJ67jrPUFZ+FQ99sJevDlYwPNbKzxeMZf6Egb2yv+V0JCiEEN3HXtlc6yjNhdK9xnxNfvM2ASFGcMSnGCESP974HjkElKJu/XqKHnoIZ94BQs+dxZ6bZvBw8UtUNVRxY8qN3JVxF6GBvbMDWWvN5zkl/OnDHPJKbEwbHs1D/5N61j3p3R19FN/RWi/tcsm6gQSFEL2Eo8ZowirZa0yle40aSO3x5m2Cwo3AiE9Bx4yjclMJpS+/j8fhwHrj9bw0o4FXj75NQmgC90+/n7lJvfI1OIDxHMZrW47xyMpc6p2NLD5/JHdeMOqsGbG2O4LiqNY6qcsl6wYSFEL0cvZKIzBKvQFSvAdKso3lQKPDRMmeeKr3mQgYEIL9ppk8MOgg+23HmDN0DvdPu5/BYYP9fBFtK7M18If39vD2juMMj7Xyx6tSmTkq1t/FOq3OPkeR1dYqYIzWutsf/1RKpQA/BmIxnt946nT7SFAIcRbSGmzFUJwNJXugZC/127dTtLKMhuoArIl21szRPDE0ApSJH8ZM4VtjrsM8cGKPP0jYUWv2l/Krt3dzpLyeqycN4ZeXpfTqJ7w7GxTFwHygsvUqYL3Wut1IV0o9D1wOlGitU1ssXwA8AZiB57TWD3fgAkzAs1rr20+3rQSFEH2Hdtgpf/pxyp5fhlKaoPNj+MuEMlZbFGmOBh4oq2B0YAQMnAgJqTAwDQamGndkmf1/y6rD5eb/Pt/PM18eJCIkkAcXpnJZ2iB/F+uUOhsUSzDejb32FOte0Vp/6zQnnQ3YgBdPBIVSygzsA+YB+cBm4AaM0PhTq0PcprUuUUpdCdwHPKm1fqW9c4IEhRB9kTM/n6Lf/Z66NWsIHj+eg3ecz+8rl1HrqmeRZSjfra4lsHgvuBuMHcxBRt/HwIne8EiDhAlg8c/zGblFtdzz5k6y8qu5bOIgfr9wAjFh/h2TqzW/3fWklEoG3msRFOcAD2it53vn7wfQWrcOiVMd632t9WVtrFsELAJISkqafOTIEZ+UXwjRe2itqV25kqI/PoS7shLrt2/k6cnlrMj/iHHR4/jDOQ8w1mOGol1QlNX82XJY96jhLcJjIgxK67Gmq0a3h2dWH+TxT/cRYQnk0WvTuHBcQreft6N6U1BcAyzQWn/XO38zMF1rfVcb+88BvoHxVr0srfU/TndOqVEI0be5q6sp/vMjVL/1FkHJyRT8+Bv8puZlqhuqWZS2iO+mfZdAk7fZSWuoLWoRHt4AqTjYfMDQWCMwBqZ5P9ON4d276V0guUW1/PjV7eQU1XLzjGH84tIUQoL8f2dUZ5uetmmtJ53mwO1uc4qguBZj6I+WQTFNa/3DjlxIR0hQCNE/2Nato+jXv8FVVIT15ht4elpVc+1i1h8YGz227Z0dNVC8Gwq94VGYZTwH4nEZ64PCvDWO9OYpdiyYffN+ioZGN4+uzOW5tYcYFR/GE9/MYMJg/742trNBYQf2t3dcILK922R92fTUURIUQvQfblsdJY88QtXrrxM0ciQFP/4fflP5EtUN1SzOWMztqbdjNnXwX+uNDUZYNIXHTqP2cWIE3gCL0c8xKAMGZxif8Sld6jRfu7+Mu1/fQWW9k3vmj+W7547AZPLPHVydDYphHTi2W2ud39bKUwRFAEZn9lygAKMz+1ta6+wOnKtDJCiE6H9sa9dR+Ktf0VhaivXWm/hHZgkfFHxCRlwGD533EEPDh3buwB63MfJu4c6Tp4YaY7052Kh5DM5snmLHnFHNo7LOyX1vZfFRdjEzR8bw2HUZDIzs+Xd0+KWPQim1DJiD8QxEMfBbrfUSpdSlwOMYdzo9r7X+oy/PK0EhRP/krqmh+OE/U/3WWwSPHk3ejy/ngZIXcGs39027j6tGXeWbMZg8Hqg8BMe3e6cdULgDnN7X9ASGGv0dgzONmsfgTOOdH+3UbLTWvLb5GL9bsYfgQBN/vjqN+RN69g2AMtaTEKLfqP3iCwp//Ws8VdUE3/VdHkzazuaSLVw49EJ+O/O3RFuifX9Sj8eoeZwIj8IdRs3jRLNVUJjRz5E4uXnyjnPV0oFSGz9+dTu7C2r41vQkfn3Z+B7r6JagEEL0K40VFRT+6tfYPv+c0FkzWXtrJn89/DwRQRE8OOtBzhtyXvcXwuM2xro6vh0KthmfRVngdhrrwwbCkCkwZKoxDc6AICvORg9//TiXZ1YfZGSclb/fkNkjHd1dCgql1Hit9Z5Wy+Zorb/wXRF9R4JCCAFGc07Va69T/PDDmEJC8Ny/mPv1W+RV5XFjyo387+T/Jdjcww+9NTqNu63yt0DBFsjf3HyrrjIbneVJM2DodDa5x3DX+yVU1bu4d8FYvjNrOOZu7OjualDsBl4CHgEs3s8pWutzfF1QX5CgEEK01HDgAAU/u4eGvXsJv/5all0UxIsHX2PUgFE8MvsRRkeN9m8B68qbQ+PYJiNEXHUAuMMT2eIZw/tVSdTGpnPLVZeTObx7HtLralBYgT8Dk4Fw4GXgz1prj68L6gsSFEKI1jxOJ6V/e5yKpUsJHj2Kovtu4hf5T2Fz2bh36r1cO+ba3vOyIXcjFO+Coxvh2FfooxtR3qHZG3QARaFjiBk1lbDkyUa/R3wKBHS9ZtTVoAgC/ogxPlMY8Cut9atdLlU3kaAQQrTFtmYtx3/+czz19Vh//hP+GLOedYXrmZs0l9/N/B2Rwf596O2UtIbqfOxHNrNzw6eYjm8lRR0hXHnfbW4KNN4iOCgdZv7IeEFUJ3Q1KHYC7wAPAjHAM4BLa31Np0rTzSQohBDtcZWUcPyee6nfuJGIK6/k8+tH8diefxJjieHh8x5mysCv/a3sVY5X2Xn2yzzWbt7CWH2QK+PLmGnNJ6wiG25+2xiGpBO6GhRTtNZbWi27WWv9UqdK080kKIQQp6Pdbsr++RRl//wnwaNGYf/dXdx7+Anybfl8L+17LEpbRIDJN8N1dJcyWwNL1h7ipQ1HsDU0ctG4OO67JIVRCZ17BWtXg+KUQ3RorY92qjTdTIJCCNFRtrXrOP6zn6FdLqJ//2sej9zEuwfeZXLCZP583p9JsPae0V3bUl3v4oX1h/n3hsO8/r1zGBUf1qnjdDUodgEaY2wnCzAcyNVaT+hUabqZBIUQ4ky4CgvJ/8lPcOzMIvrbt7DpGyk8uOUhLGYLD533EOcmnuvvInZIQ6Ob4IDOP5zXVlB0aAxdrfVErXWa93M0MA342suMhBDibBQ4aBDJL71E1E03UfHvF5n4wOssm/YksaGxLP50MY9vfZxGT6O/i3laXQmJ9nRqsHWt9TZgqo/LIoQQfqOCghj4q18y+K9/wZGbi/u2n7J06C+4evTVLNm9hNs+uo2iuiJ/F9MvOhQUSqm7W0w/U0q9ApR2c9mEEKLHRV52GcmvLsMUFEzhrd/l7qppPHzew+RW5HLtimtZnb/a30XscR2tUYS3mIKB94GF3VUoIYTwJ8uYMSS/8TqW1FQK7v4p094/xKuXLiM+NJ4ffPYDHtvyGK4TLzjqB2RQQCGEaIPH6aTogd9R/dZbhF+ygOjf/4bHsv/Ba7mvkRaXxqOzH2Vw2GB/F9NnOvviohUYdzudktb6St8Uz7ckKIQQvqK1puL5pZT85S9YJkxgyD+e5HP7Dh5Y/wBKKR6c+SBzh831dzF9orNBcX57B9Vaf+mDsvmcBIUQwtdqP1/F8Z/9DNOASJKeW0JJXAD3fHkP2eXZ3DDuBn465ac9PxKtj3U2KJJ660N17ZGgEEJ0B8eePRy9YxF4PAz91zMEjB/H49se58U9LzIuehyPzn6U5Mhkfxez0zr7HMXbLQ7wX5+XSgghziKW8eNJfvk/mEJDOfLtW3Fu3Mw9U+/hyQufpLCukOveu44VB1b4u5g+d7qgaDnm7ojuLIgQQpwNgpKTGfbKKwQNGcKx7y/GtnYd5w89nzeveJOU6BR+sfYX/HLtL6l11vq7qD5zuqDQbXwXQoh+KzAhnqR/v0DQiBHk33kntrXrGGgdyJL5S/h++vd57+B7fOPdb7Dh+AZ/F9UnThcU6UqpGqVULZDm/V6jlKpVStX0RAGFEKI3CoiKImnp8yeFRYApgB9k/ICXLnkJi9nCok8W8Yev/kC9q97fxe2SdoNCa23WWkdorcO11gHe7yfmI3qqkEII0RudKiwA0uLSeOOKN7gp5SZez32da1dcy46SHX4ubed1aqwnIYQQhrbCwhJg4efTfs6S+UtwazffXvltHtvyGPZGu59LfOYkKIQQoou+FhZrmgfXnjpwKv+98r98Y/Q3WJq9lKvfvZqvCr/yY2nPnASFEEL4QFNYjBxJ/o9+hGPPnqZ11kArvz3ntzw//3lMysQdH9/BL9f+kjJ7mR9L3HESFEII4SMBUVEk/esZzAMGcGzxnbiKi09aP3XgVN684k3umHgHHxz6gCuWX8F/9vyn17/rQoJCCCF8KCAujqFPP4Wntpb8xXfiqT/5jidLgIUfTfoRb135Fmlxafx585+5dsW1bC7a7KcSn54EhRBC+Jhl7FgGP/ZXHDk5FNx7L9rj+do2wyOH8/RFT/P4BY9jb7Rz20e3cc+X9/TKlyNJUAghRDcInzOHhPt+ju3Tzyh97LFTbqOUYm7SXN5e+DZ3pt/JqmOruPLtK3lqx1O96tkLCQohhOgmUTffzIAbvkn5c0uofOONNrezBFhYnLGYd656h9lDZvPPnf/kiuVX8Hbe23j012sjPa3XB4VSao5Sao1S6mml1Bx/l0cIITpKKcXAX/4S66xZFP3u99R91f5tsYlhifzl/L/w0iUvMdA6kF+v+zXXv3c9Gws39lCJT61bg0Ip9bxSqkQptbvV8gVKqVylVJ5S6r7THEYDNsAC5HdXWYUQojuogAASH/8bQcnDyP/Rj2k4dOi0+2TEZ/CfS//DI7Mfoaahhu9+/F3u+uwudpftPu2+3aFbX4WqlJqN8Uf+Ra11qneZGdgHzMP4w78ZuAEwA39qdYjbgDKttUcplQA8prW+8XTnlfdRCCF6G2d+PoevvQ5zZCTJr72KOTKyQ/s1uBv4z57/sGT3EmqdtUwfNJ3bUm/jnEHnoJQ6/QHOQKdeXOSjEycD77UIinOAB7TW873z9wNorVuHROvjBAGvaK2vaWP9ImARQFJS0uQjR4746hKEEMIn6rds4ch3bsM6dQpD//UvVEBAh/e1OW28ue9NXtzzIqX2UoaGD2XhyIUsHLWQgdaBPilfZ19c1B0SgWMt5vO9y05JKfUNpdQzwEvAk21tp7X+l9Z6itZ6SlxcnM8KK4QQvhI6ZQqDHvgtdes3UPynh89o37CgMG5NvZUPr/6Qh859iEHWQTy540kufvNivvfJ9/jw0Ic0uBu6pdwdjzPfOVVdqc1qjdb6LeCt7iuOEEL0nAFXX01D3gEqli4leOwYoq677oz2DzYHc8XIK7hi5BXk1+bzzoF3eCfvHe5dfS/hQeE8ccETTB041adl9kdQ5ANDW8wPAY77oRxCCOEX8T/7KQ15eRQ9+AeCR4wgdMrXWns6ZEj4EH6Q8QMWpy9mU9Em3sl7hzFRY3xcWv80PW0GRiulhnv7Hb4JvOuHcgghhF8os5nEv/6FoMRE8n/0Y1wFBV06nkmZmDFoBn86709EBnesk/yMju/zI7aglFoGbADGKqXylVK3a60bgbuAj4C9wOta6+zuLIcQQvQ25ogIhvzzn2ink2N3/fBrY0L1Jt1+15M/yO2xQoizhe3LLzn2/cWEz59P4t8e8/ktr2eiN931JIQQwivs/POJ/+nd1K5cSfkzz/i7OKfkj85sIYQQLUTffjuO3H2UPv4EwaNHEz53rr+LdBKpUQghhJ8ppRj04O+xpKZy/J57ceTk+LtIJ5GgEEKIXsBksTDkH//AFBHBse99H1dR73kvhQSFEEL0EoEJ8Qx95mk8NhvHvr8Yt63O30UCJCiEEKJXsYwdS+Ljj9Owfz8Fd/8vutH/79OWoBBCiF4m7LxzGfib31C3eg1Ff/gD/n6MQe56EkKIXijq+utwHTtK+XNLCBqaRMztt/mtLBIUQgjRS8XdfTfO/AJKHn2UwCFDiJh/sV/KIUEhhBC9lDKZGPzwnzhaVMTxe+/FZLUSdu6sHi+H9FEIIUQvZrJYGPLUPwkaPpz8xYupXbWq58vQ42cUQghxRgKiohj2wlKCx44l/4c/ouajj3v0/BIUQghxFjAPGEDS0ucJSU2l4O67KX9+aY/dDSVBIYQQZwlzeDhJS54jfO5cSh55hIKf/G+PPJQnQSGEEGcRk9VK4hOPE3/Pz6j95BMOX3cdDQcOdO85u/XoQgghfE4pRcztt5O0dCnu6moOX3sdNStXdtv5JCiEEOIsZZ0+jeFv/ZfgMWMo+Mn/Uvzwn9Eul8/PI0EhhBBnscCEBIa9+G+ibryRihdeoG79ep+fQx64E0KIs5wKCmLgr39F5MIrCUlL8/nxpUYhhBB9RHeEBEhQCCGEOA0JCiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLuXvV+x1B6VUNbC/nU0igeo21sUCZT4vVPdr75p687k6e6zO7NfRfTqyXXvbyO+r95yrK8c603176vfV3vqu/r6Gaa3jvrZUa93nJuBfnV0PbPF3+bvjmnvruTp7rM7s19F9OrLdaX5D8vvqJefqyrHOdN+e+n21t767fl99telpRRfXn4168pp8ea7OHqsz+3V0n45s19428vvqPefqyrHOdN+e+n2dybl8ok82PXWFUmqL1nqKv8sh+ib5fYnu1F2/r75ao+iKf/m7AKJPk9+X6E7d8vuSGoUQQoh2SY1CCCFEuyQohBBCtEuCQgghRLskKM6AUipFKfW0UupNpdRif5dH9C1KqauUUs8qpd5RSl3s7/KIvkUpNUIptUQp9eaZ7ttvgkIp9bxSqkQptbvV8gVKqVylVJ5S6r72jqG13qu1/j5wHSC3OIomPvp9va21vgO4Fbi+G4srzjI++n0d1Frf3qnz95e7npRSswEb8KLWOtW7zAzsA+YB+cBm4AbADPyp1SFu01qXKKWuBO4DntRav9JT5Re9m69+X979/gq8rLXe1kPFF72cj39fb2qtrzmT8/ebV6FqrVcrpZJbLZ4G5GmtDwIopV4FFmqt/wRc3sZx3gXeVUq9D0hQCMA3vy+llAIeBj6UkBAt+ervV2f1m6anNiQCx1rM53uXnZJSao5S6u9KqWeAD7q7cOKsd0a/L+CHwEXANUqp73dnwUSfcKZ/v2KUUk8DmUqp+8/kRP2mRtEGdYplbbbFaa2/AL7orsKIPudMf19/B/7efcURfcyZ/r7KgU79A6S/1yjygaEt5ocAx/1UFtH3yO9LdKce+33196DYDIxWSg1XSgUB3wTe9XOZRN8hvy/RnXrs99VvgkIptQzYAIxVSuUrpW7XWjcCdwEfAXuB17XW2f4spzg7ye9LdCd//776ze2xQgghOqff1CiEEEJ0jgSFEEKIdklQCCGEaJcEhRBCiHZJUAghhGiXBIUQQoh2SVCIfkkp5VZK7WgxtTtEc09pUa7BSqmN3u9HlVKlLcqa3GqfOUqpDa2WBSilipVSg5RSjyqlipRSP+vJaxF9R38f60n0X3atdYYvD6iUCvA+BNUVLcs13XvcW4EpWuu72thnNTBEKZWstT7sXXYRsFtrXQjco5Sq62K5RD8mNQohWlBKHVZK/U4ptU0ptUspNc673Op9ecxmpdR2pdRC7/JblVJvKKVWAB8rpUKVUq8rpbKUUq95awVTlFK3K6X+1uI8dyilHutE+UYqpVYqpbYqpdYopcZprT3AG5z8sqNvAsu69D+GEF4SFKK/CmnV9NTyj2yZ1noS8BRwornml8DnWuupwAXAo0opq3fdOcC3tdYXAncClVrrNOBBYLJ3m1eBK5VSgd757wBLO1HufwE/1FpP9pbtn97lyzDCAaVUMHAp8N9OHF+Ir5GmJ9Fftdf09Jb3cyvwDe/3izH+0J8IDguQ5P3+ida6wvv9XOAJAK31bqVUlvd7nVLqc+BypdReIFBrvetMCqyUCgNmAm8Y7zgCINh7/M1KqTCl1FggBfhKa115JscXoi0SFEJ8XYP3003z/0cUcLXWOrflhkqp6UDL9v9TvSPghOeAXwA5dK42YQKq2gm4VzFqFSlIs5PwIWl6EqJjPgJ+6H1dKUqpzDa2Wwtc591mPDDxxAqt9UaM9wd8i078Idda1wCHlFLXeo+vlFLpLTZZBtwEXIgMZy58SIJC9Fet+ygePs32DwKBQJZSard3/lT+CcR5m5x+DmQB1S3Wvw6s60Kz0I3A7UqpnUA2sPDECq31HqAeoy9F7nISPiPDjAvhQ0opM0b/g0MpNRL4DBijtXZ6178H/E1r/Vkb+9u01mHdUK4HAJvW+i++Prbo+6RGIYRvhQJrvf/iXw4s1lo7lVIDlFL7MDrRTxkSXjUnHrjzVYGUUo9iNElJLUN0itQohBBCtEtqFEIIIdolQSGEEKJdEhRCCCHaJUEhhBCiXRIUQggh2iVBIYQQol0SFEIIIdolQSGEEKJdEhRCCCHaJUEhhBCiXRIUQggh2iVBIYQQol0SFEIIIdolQSGEEKJdEhRCCCHaJUEhhBCiXRIUQggh2iVBIYQQol0SFEIIIdolQSGEEKJdEhRCCCHaJUEhhBCiXRIUQggh2iVBIYQQol0SFEIIIdolQSGEEKJdEhRCCCHaJUEhhBCiXRIUQvQgpdRdSqktSqkGpdQLHdg+Wim1XClVp5Q6opT6Vhvb2VpMHqWUvcX8jac5x0dKqd+fYvlCpVSRUiqgwxco+iQJCiF61nHgD8DzHdz+H4ATSABuBJ5SSk1ovZHWOuzEBBwFrmix7OXTnOMF4GallGq1/GbgZa11YwfLKvooCQpx1lNKHVZK3aOUyvL+y3uJUipBKfWhUqpWKfWpUirK3+UE0Fq/pbV+Gyg/3bZKKStwNfBrrbVNa70WeBfjD/gZUUoNVkr9VylVqpQ6pJT6UYvVbwPRwHktto8CLgdePNNzib5HgkL0FVcD84AxwBXAh8AvgFiM3/mP2t71zCml3lNKVbUxveej04wB3FrrfS2W7QS+VqM4TVlNwArvvonAXOAnSqn5AFprO/A6cEuL3a4DcrTWOztffNFXSFCIvuL/tNbFWusCYA2wUWu9XWvdACwHMpVSyd5/UX+ulPpSKfVXpVQogHedVkrN884rb5/AA6c6mdb6cq31gDamy310TWFAdatl1UD4GR5nKhCntf691tqptT4IPAt8s8U2/wauVUqFeOdv8S4TQoJC9BnFLb7bTzEf5v3+pdb6Qq31+UAd8LsW220GrvF+nwEUdVNZO8oGRLRaFgHUnuFxhgGDW9Z6MGpbCSc28DZrlQILlVIjMMLllU6XXPQpEhSiP/sDcGWL+aNAovcun2uBN9ra0dv/YWtj+tBH5dsHBCilRrdYlg5kn+FxjgGHWtV6wrXWl7ba7kWMmsTNwMda6+KvHUn0SxIUot/SWjuBoFaLVwEXYPQP5LSz7yUt7zRqNV3S1n5KqQCllAUwA2allKWt20+11nXAW8DvlVJWpdQsYCHw0hldKGwCapRSP1dKhSilzEqpVKXU1FbbvQhcBNyBNDuJFiQoRL+llAoGGlotfhN4GNjYTaf9FUZT2H3ATd7vv2pRpg+VUr9osf2dQAhQAiwDFmutz6hGobV2Y3TwZwCHgDLgOSCy1XaHgfWAFePuKiEAUFprf5dBiB6hlEoG/qK1vsY7/wBg0Vrf13KdUuqvwFPAOGCK1voBf5RXiN5CnrgU/c35SqnPMZp+NgG/ab2B1vqnAEqpcT1cNiF6JalRCCGEaJf0UQghhGiXBIUQQoh2SVAIIYRoV5/szI6NjdXJycn+LoYQQpxVtm7dWqa1jmu9vE8GRXJyMlu2bPF3MYQQ4qyilDpyquXS9CSEEKJdEhRCCCHaJUEhhBCiXRIULXi0x99FEEKIXqdPdmZ31qObH2VtwVrS4tKYGDuRtLg0RkeNJtAU6O+iCSGE30hQtDA+Zjz5tnzWFazj3QPG4JkWs4XxMeNJi0sjLS6N9Lh04kPj/VxSIYToOX1yrKcpU6bortweq7XmeN1xdpXuIqssi6zSLPaU78HlcQEw2DqY9Ph0MuMzyYjLYHTUaAJMkrlCiLObUmqr1nrK15ZLUDRz5uejAgMJTEj4+jq3k5yKHHaW7mRHyQ52lOygxF4CQGhAKGlxaWTGZ5IZn0l6XDqhgaFdvg4hhOhJEhQdcPy++6l++20CEhIISUsjJD0Ny8Q0QlInYLJaT9r2RK1jR8kOtpdsZ2fpTvZV7sOjPZiVmZToFDITMpkcP5nMhEFjuJcAACAASURBVEyiLdG+ujwhhOgWEhQd4MjJoX7TZuxZWdizsnAdPWqsMJkIHjWKkPR0QjLSCUlPJ2jECJTp5JvGbE4bO0p3sK14G9tKtrGrdBdOjxOA4ZHDmRQ/ickJk5mcMJnBYYO7fJ1CCOFLEhSd0FhZiWPXLuw7s7Dv3Ik9KwtPTQ0ApvBwb60jnZDMDELS0jBHnvRmSZxuJ9nl2Wwt3sq24m3sKNlBrasWgEHWQUxK8AZH/GSGRw5HKdXlMgshRGdJUPiA9nhwHj6CfccOIzh27KBh/37wGM9fBI0cSUhmBqGZmYRkZhI0/OQ//m6Pm7yqPLYWbzXCo2QbZfYyAKKCo5pqG5MTJjMmagxmk9nn1yCEEP/P3n3HV1Xffxx/fbN3QnZCCHsTCEkIQwUEEdxWsQLO2qqtrfVXW0fVWlu1WqWO1rpXHdUKbhFUwMEmIWGFLRlkkz1ukpt77/f3x7khAUIIyU1uxuf5eNzHzT3n3HO+F6955zvPqUhQdBFrTS31u3dRt307pvR06rbvwFZZCYBrYCDe8fF4JyQYtY64OFy8vY+9V2tNTnUOaUVppBalsq1oG3k1eQD4ufsRHx5PYkQiSRFJjA8Zj7urzOcQQnQdCYpuYtQ6sqhLSzOCI3075sOHjZ1ubniNG4dPQgLeCZPxSUjALTT0uPcX1haSWpRq9HMUpfFj5Y+AMZ9jUtgkIzgik5gYNhFPV8/u/nhCiD5MgsKJLOXl1KVvpy49HVNaGvW7dqHNRie3x+DBeCck4JOYgHdiIh5DhhzXXFVWX0ZaURrbiraRWpTK/rL9aDTuLu7EhcaRFJlEUkQS8eHxeLt5n6oIQghxWhIUPYjNbKY+I8OodaSlU7dtG9aKCgBcQ0PxSUjAJykR78REvMaMQbk291VUNlSSXpxOaqHRVLW3bC9WbcXNxc0IjogkkqOSmRQ2SYJDCHFGJCh6MK015sOHMaVuw7QtlbrUbTTm5wPg4utr1DiSkvCZkoTXhAm4eHgce29tYy3pxemkFKaQWphKRmkGVm09VuNIjkomOTJZmqqEEKclQdHLNBYUGMGRmoppWyrmQ0ZfhfL0xDs+Hp8pU/CZMgXvSRNx8fI69r7axlrSitJIKUohpSCFPWV7sGkbnq6exIfHMy1qGlMjpzIuZJyMqhJCHEeCopezlJcboZGSgik1lYa9+0BrlLs7XhMn4pM8Bd/kZLwnTz4uOKrN1Wwr2saWgi1sKdzCwfKDAPi7+5MUmcTUqKlMi5rGsMBhMo9DiH5OgqKPsVZVYdq2DVOKER71GRlgsxnBMWkivsnJ+CRPxTt+0nHBUVJXQkphihEcBVvIrckFINwnnGlR05gRPYNpUdMI8Q5x1kcTQjiJBEUfZ62poW7bNmq3bD0+ODw8jKaqaVPxnTYN77g4lHvzfIzc6lw2F2xmU/4mthRuobLBmAMyesBoZkTPYHr0dBIiEqR/Q4h+QIKin7FWVxs1ji1bqd2yubmpyscHn6REfKdNx3faVDzHjDm2ZpXVZmVv2V425W9iU8Em0ovTsdgseLl6kRiZyNnRZzNj4AyGBshyI0L0RRIU/ZylvNzo39i8mdpNmzFnZgLgGhSEz9Sp+M6Yge9ZM/CIiTn2HlOjidSiVDbkbWBj/kayqrIA434cMwbO4Ozos5kaNRU/Dz9nfCQhhINJUIjjNBYVHQuN2k2bsBQVAeA+aBC+06cbwTFtKq5BQcfek1eTx4a8DWzI28CWwi3UNtbiptyYHDGZcwaewzkDz2F40HCpbQjRS0lQiFPSWmPOzKR24yZqN27EtGULttpaUAqvCRPwPWsGfmedhfekSSj7HI5GWyM7inewPm896/LWcaD8AGDUNs6JMUIjOSpZJv0J0YtIUIh20xYLdTt3UbtxI7UbNlC3cydYrbj4+OAzbZoRHGefjXts7LHaQ2FtIevy1rE+dz2bCjZRZ6nD09WT5MhkZsbMZPag2UT6Rjr5kwkh2tJrg0IpNQy4HwjUWi9sz3skKBzLWl2NacsWatavp3b9BhpzjSG17jEx+J51Fn7nnI3PtOm4+hl3ATRbzaQWpbIudx3f537PkeojgDGSatagWcyOmc340PG4KJdTXlMI0f2cEhRKqdeBi4FirfWEFtsXAM8CrsCrWuvH23Gu5RIUPYM5O5uaDRuo3bAR06ZN2EwmcHPDJyEB33POxm/mTDxHjUIphdaazKpMvj/yPd8d+Y7tR7dj0zZCvEKYGTOTObFzmBY1DS83r9NfWAjRpZwVFDOBGuCtpqBQSrkCB4B5QC6QAizGCI3HTjjFTVrrYvv7JCh6IG02Y0rfTu26H6hZt56G/fsBcAsPx3fmOfidMxPfGdNx9fcHoKK+gnV5Rk1jQ94Gahpr8Hbz5qzos5gTO4eZMTMJ9Axs65JCiC7itKYnpdQQ4IsWQTEdeEhrPd/++o8AWusTQ+LE87QZFEqpW4BbAGJjYxOzs7MdUn5xZhqLiqhdv56a73+gduNGbDU1Rm0jMRG/mTPxmzUTj+HGyKhGayMphSmsPbKWb3O+pbiuGFflSlJEEnNi5zAndo70awjRjXpSUCwEFmitf2F/fR0wVWv9m1O8PwR4FKMG8urpAgWkRtFT6MZG6rZvp+aHH6j5/gcaDhgjo9wHDsRv1iz8Zs3EZ+pUXLy8sGkbe0r3sDZnLWty1nC40rjZU1xoHOcNPo95sfMYFDDImR9HiD6vJwXFVcD8E4IiWWt9u6OuKUHRMzUWFFDz/Q/U/PADtZs2oevqUN7e+E6fjt/sWfjNno17eDgAmZWZrMlZw+rs1WSUZgAwJngM8wbPY97geQwNHOrMjyJEn9STgqJDTU9nQoKi57M1NGDamkLNt99S/d23WPILAPCaMAG/c2fjP2eOsbyIUuTX5LM6ezVfZ3/NjqM7ABgRNILzh5zPgiELJDSEcJCeFBRuGJ3Zc4E8jM7sJVrrDEddU4Kid9Fa03DgIDXffkvNt98a8za0xi0qCv9zz8Vvzhx8k6egPDwoqi1idc5qvs76mvTidDSa0QNGs2DoAuYPmc8gf2meEqKjnDXq6T1gNhAKFAF/1lq/ppS6EHgGY6TT61rrRx15XQmK3s1SWkrNd99T/e1aatdvQNfX4+Lnh9/Mc/CbOxe/mTNx9fenqLaIr7O/ZlXWKnYe3QnAhJAJLBi6gAVDFhDhG+HkTyJE79JrJ9x1hARF32Grr6d24yaq166hZu23WMvKwN0d3ylT8J93Hn5z5+IeHk5+TT5fZX3FqqxV7Cndg0KRGJHIhcMu5PzB58uQWyHaQYJC9HraaqVuxw6q16yhZvUazNnZoBTe8fH4n3ce/ufPw2PQILIqs1iZtZIvD39JVlUWbi5unDPwHC4adhGzYmbJ5D4hTkGCQvQpWmvMhw5R9c03VH+zmoa9ewHwHDMG/3nnEXD++bgPH86+8n2sOLyClZkrOVp3FD93P+bGzuWS4ZcwJXKKLCMiRAsSFO2QVVJLvcVKuL8XQd7uuLjIctm9hTk3l+pvVlP9zTfUpaeD1ngMHYr//PMJmD8ft1EjSS1OZcXhFazOXk1NYw1RvlFcPOxiLhtxGYMDBjv7IwjhdBIU7fD7D3bwYZp9wTtXRaifJ+H+noT5exHm3/Rzi4ef8ezl7urojyA6obG4mOrVq6n++htMW7eCzYb74FgCzp+P/4L5MGoY3+V+x6eHPmVTwSZs2saksElcOvxSFgxdQIBHgLM/ghBOIUHRDvsKq/ixuJbi6nqKqxsormrgaE0DxVX1HK1uoMxkprV/Ln9PN8L8PQn18yTU38N4tj9C/IzXYfZ9Ph5uDviEor0sZWVGaKz6itotW8BqxT0mhoAF8/G/4AKqhoSyInMFnx36jB8rf8TT1ZO5sXO5fMTlTI2aKk1Tol+RoHCARquNslozxVUNlNQYIXK02niU1DQ/l9SYqaxrbPUc3u6uhPp7EOLrSaif8Rzi50GInychvh7Gz/Ztwb4euLvKLypHsZSXU7N2LVWrvqJ20yawWIyaxgUX4L9gAYdDLHz84yd8mfkl1eZqon2juXzk5fxkxE9kzSnRL0hQdDOzxUZpbQMl1WZ7eDRQWmumpNr+bA+UstoGSmvMWGyt/3cI9HYnxNcIDSM8mgMl2NcIlaZ9A3w88HCTYGkPS3m5UdNYuZLazVvAZsNj2DACLrwQrwXnsc7lRz4+9DGbCzajUMwYOIMrR17J7JjZuLu6O7v4QnQJCYoeTGtNZV0jpbVmSmvMlNpDpbTGTGlt088NlNWajz1OkSv4e7kdC5amUAn282ixzR4u9m3Sv2JM8Kv++muqvlyJKTUVtMZz7FgCL7qQ2lkJfFqzgU8OfUKxqZhgr2AuHX4pV426itiAWGcXXQiHkqDoQ2y2lsFiBEipPUCaQqYpUEprzZTXnrrG4u3uam/uaqq1eJ7iZyNgvD36drA0FhVRvWoVlSu+pH6nMdvbOzER/4suYM/EID48+g3fHfkOq7YyPWo6V4++mlmDZuHmIn1PovfrUFAopXa249xHtdZzO1M4R+twUBz4GiqPQPRkiBgPbp6OL5wTaK2pqrNQZmpu6moZLk0/twwds8XW6rlaDRY/D0JP6GsJ9TOaxHpzU5g5J4eqL7+kasUKGg4eAldXfM+agZo3k5WxZXyQ8xlFpiLCvcO5ctSVXDHyCunLEL1aR4MiA7iwrfMCn2mtJ3a+iI7T4aD48GbY9YHxs4s7RIyDqHgjOKLjIXw8uHk4trA9kNaaWrOVsqamrxZNYMa25mBpCh2ztfVgCfByO24EWNMosBA/T8L8mkeIhfl74uvZM/8qNxYtPEDVFyuoXPEFlvwClI8PfnPnkD19CO/47mRD4SZclAtzYueweMxikiKSUErm4YjepaNBcbbWev1pTnzaY7pbh4NCa6jIhvztkJ8OBfbn+kpjv6sHhI8zQiN6svEIHwf9vHNTa011g4WSaqNGUtIyYOyd9sc682saqDCdekSYMczY49hw46Y5K+H2uSxN81ecVVPRNht1aWlUfvY5VatWYauqwjUsFJd5M/lunObNxu+pNFcxImgES8Yu4eJhF+Pt5u2UsgpxpjoaFH8A/qe1PtKVhXM0h/ZRaA3lWS2Cw/5oaAoPT6OZqik4ouMhbEy/D4+2NFptlNeaOdoUItXGUOOS6uZhxyXVxv6yWnOr5wjycSfcHiDh/p6EB3gREWC8jgjwJCLAq8snQ9rMZmq++46qzz+n+rvvobER95EjyDt7BG8NzGKr9RCBnoFcOfJKFo9ZLM1SosfraFA8DSwEMoH3gGVa65IuK6WDdHlnttZQnmmER366ERwFO6Chytjv5gURE1qEx2QIGw0ufbsjuCs0Wm2U1piNSZBVzfNViqsbjpsYWVxdT6P15O9ykI87kQFehAd4ERngSWSAFxGBXkQFehEZ4E1UoBdBPu6dbiayVlRQtWoVlR9/Qt2OHeDigmXKBL6Nc+Gt4Awsbi7MjZ3LdeOuIz48vlPXEqKrdHjUkzL+D5oJLAIuA3ZghMbHWuvqLihrpzll1JPNBmWHm5ur8tKgcCeYa4z97j4QOfH48AgZAS69t7O3J9FaU25qpKjKCI+iqnqKKuspqq6nqMp4XVhZT0lNw0lDiz3dXIzgCPQiKtCb6KDm5+ggb6KDvAnwan8NseFwJpWffUrlJ59iKSyEAH+yk2N4a0guu0JNTAyfxI3jb2TOoDm4yh8PogdxyPBYpZQrcB7wODBaa+3juCI6To8ZHmuzQekhyE9r7vco3AmNJmO/hz9ETTq+zyN4GEgnaJexWG2U1JgpqKyjsLKe/Mp6CivrKKisp6DSCJPCqnqsJ6SJn6fbccExMMibmAHGY2CQD+H+nictIqmtVmo3b6by40+o/uYbdEMDdYNC+SrOyucjqwiKiOX6cddz2YjLpB9D9AidDgqlVBxGreJqoBR4T2v9jENL6SA9JihaY7VAyQGj5pGXZjwX7gJLvbHfK7DFSKvJMDABAgdJeHQjq01ztLqB/Mo68iuaHvXkVxiBkltuovyEDnl3V0W0PTwGDfBhULDxiLU/Aqz1VK9aRcWHH1K/YyfazZW94/35aEwVR0YP4KdjF7Fk7BKCvYKd9KmF6HgfxUiMcFgMWIH3MQLicFcV1BF6dFC0xtoIxXubwyM/HYoywGb/ZeQT0qLJKsF4Dohybpn7OZPZQl55HbkVdcZzeR255Sb7cx0lNQ3HHe/n6WYPDm/izCXE7fiB0E1rcamupCrYi6/GmVk/2ZOZiVdww/gb5N7fwik6GhSHMfoj3tda7+rC8jlUrwuK1lgajLDIT2vuMC/eC9pq7PePOj44oieDb4hzyyyOMZkt5JbXkVNqIrvMxBH7I7vMRE6ZCbPFhrvVwrTC3VyQvZVJxQdAwfZhLqyJd8F12hxunnwLUwaOk/kYots4oulpMDBSa71aKeUNuElndjczm4xmqvx0I0Dy0qD0YPP+oNjm4BiYYDRhecm9FXoam01TWFVPVkktWaUmskprKT2UyaBNq5mydx3B9TWU+inWxsOakWPw8v8J40LiGB7my4hwP0aE+zM4xEdWFhYO16mgUErdDNwCBGuth9ubpF7saUt3NOmzQdGa+kpjaG7TSKv8NKjIad4fMtIIjaZaR2QcePg6r7yiTRZzI0dWfE3ZB//Fe3saGkgbrlgzIYYNXhfQWD8SULi7KoaG+jIy3J8R4X6MjvRnVIQfg0N8JUBEh3U2KLYDycAWrfVk+7ZdWus4h5fUAfpVULSmtrS51pG/3XiuLjD2KRcIG9s8OTA6ASIn9Jl1rfoSc24uR9//LyXLP8CjopbiQNg+LQo97xfUuUzmx6O1HCquJrvMdOyGWh6uLgwL82VsVACjI/0ZE+nPmMgAIgI8pQlLnFZng2KL1nqqUipdaz1ZKeUGpPW0NZ6a9PugaE1VQYvOcnu/h6nU2Ne0rlXLDvPwsTK7vIfQZjNlq7/mxzeex39XJo2usC8+mME3/Yop5y7BbNUcKq7hYHE1+wqr2W9/FFTWHztHkI87YyMDGB8dwLjoAMZHBzI8zBc3qX2IFjobFE8AFcD1wO3AbcAerfX9ji6oI0hQtIPWUJnborM8/YR1rTyNZqqm/o7oyRA6SmaXO1nNgX2kv/QYfqtT8GrQFMT4ELD4aiYvuR1X7+PnYlSYzEZoFFWzt6CKPflV7CuspsG+MrCnmwtjogKYEB3AxJhAJgwMZFSEvzRd9WOdDQoX4OfA+Rgrxn4FvKp76M0sJCg6qGlpkrwWI60Kth8/uzxqkhEaTXM9ZHa5U9RXlbP+tUdx+fgroootmHzdcL10PuNvvhP36OhTvs9itXG4pJaM/Eoy8qrYbX+ubrAARnhMGBjIpJggJg0yngeH+EizVT8hNy4SHWOzGSOrmvo6mta1stQZ+1ubXT5gqIRHN2mwNLD6k2eo+u/7TNxrNDXpmckMu/l2vBMT2/UL3mbTZJeZ2Jlbwa7cSnbkVrArr5L6RqPmEejtTvygIJIGDyBxyADiBwXh49Ezl4QXndPReRSXATFa63/bX28Bwuy779FaL+uKwnaWBEUXa5pd3tRcdeLscs+A5vBoqnlIeHSpBmsDn61/lby3XuesbSb86oFRw4j62c0EXHQhLh5ndh8Vi9XGgaIaduRWsD2ngrSccg4WGzVLVxfF+OgAEgcPIGlwMFOGDiDc36sLPpXobh0Nig3AoqZlxu2jn+YCvsAbMjxWHGNthKP7mte0appdbrXPUPYMhKiJx4eHrGvlcKZGE//b8RYH3n+FczebGFQCDAgidMk1DFi8CLfQ0A6fu9LUSFpOOanZZaRmlbMjt+JYrWNoqC/JQ4KZPjyEacNCiAyU4OiNOhoUKVrrKS1eP6e1/o39581a62ldUtpOkqDoIZqWJml5E6iiDLDa7zHRFB5Rk4zwiJokfR4OUmWu4j+73yRtxZuct6WehEMaPNwJuuwygm+8Ec/hwzt9jUarjd15laRklbE103hU1Rt9HUNCfJg2zAiN6cNDiAiQ4OgNOhoUh7TWI06x70etdee/bV1AgqIHs5jh6N7jV9Mt3N1c8/DwM0ZbRU1qfoSOBldpE++I0rpSXt31Kt9vfI8Ltlo5d5fGtdGK36xZBN90Ez7JUxzWUW21afYVVrH5cBmbD5ey5XDpseAYFeHHzJFhnDMqjOQhwXh7yOi5nqijQfEu8J3W+pUTtt8KzNZaL3Z4SR1AgqKXaWq2KthpdJQX7DD6PBprjf1uXsYtZ1uGR/g4cJe/UturoKaA57Y/x3e7PuPSHe5ckKZwrzLhNW4cwTfdRMCC+Sg3x4ax1abZW1DFxh9LWHewhC2ZZZgtNjzcXJgyZADnjAzj3NHhjIrwk1FVPURHgyIc+ARoANLsmxMBT+ByrXVRF5S10yQo+gCbFUp/NJqsjoXHzuZ5Hi5uxi1nW4ZHxATw9HNuuXu4fWX7eHrb06Rkb+DSQ4H8ZJsbHkeKcY+JIfhnNxJ0xRW4eHfNvTHqzFa2ZJay/qARHPuLjKXiogO9mD0mnLljwjlrRGiX3r5WtK2z8yjmAOPtLzO01msdXD6HkqDoo7SGimz72lbbjeDI3w6mprvzKggdaYRGZFPfx0TwHuDUYvdEG/M38vS2p9lfupfLC2P4aYo7rhmHcA0OJviGGxiwZDGu/v5dWoaCyjq+33+Ub/cXs/5gCbVmK17uLpw9IpS5YyOYOyaccOnb6FYyj0L0TVpDVb4RGk01j4KdUJXbfEzQ4ONrHlGTwC/ceWXuIWzaxorDK3g27VmKagu5xpzIFZs11o0puPj5MeCaawi+/jrcQrp++foGi5Uth8tYs7eI1XuLyasw5ulMjAnkgglRXBQXRWxIj7yhZp8iQSH6l9qS5uaqphpIeWbzfr/I5hFXkRONn4MG98vhunWWOt7e8zav7nqVRlsjv/a5gPO+q6Ju9VqUpydBCxcSctPP2pzx7Uhaa/YXVbNmbzFfZxSyI9dobpwwMIAL44zQGBwiKyB3BQkKIeorjU7yplpH4U44ur/5ZlBegc1NVk3hETKy34y4Omo6yj/T/8knhz4hxCuEu8KXEP9NFlWffQ5KEXTlFYTecku3BUaT3HITK3cVsmJXAduPVAAwPjqASydFc2l8NFGBcr9xR+loZ/ZXwCpgpdZ6XxeWr60yjAXuAEKBNVrrF073HgkK0W6NdVC0BwpbNFu1nCjo5m2srNsUHJGTjNfuffeX0+6S3Ty+9XF2HN3BuJBx3Bv7cyI/2kjFhx8BOC0wAPIq6li5q4DPdxaw40gFSsHUocFcmRDDhXFR+Hr2j1DvKh0Nikhggf0xCtiCERxrtNY17bjo68DFQLHWekKL7QuAZwFXjMUFH2/HuVyAV7TWPz/dsRIUolOaligp3Nlc8yjYCQ32EVfK1VhJNzKuxWNin7oVrdaaLzO/5KltT1FsKubCoRfyu4HXod/5kMrlH6KBoCuuIPSWm3EfONApZcwqqeXT7fl8sj2PzJJafDxcuTAuioWJMUwdGixDbjvAEbdCdQGmAhdgLONRB3yttX6ijffMBGqAt5qCQinlChwA5gG5QAqwGCM0HjvhFDdprYuVUpcC9wLPaa3/e7qySlAIh2s54qpwV/OjKq/5GP/oE8IjrtevcWVqNPHa7td4c/ebuLu68+v4X7Mw8FwqX3udimXLjcBYeCWhv/wl7hERTimj1ppt2eUsS81lxa4CahosxAb7cGVCDFdPGSTLiZwBh/dRKKVCgfla63dPc9wQ4IsWQTEdeEhrPd/++o8AWusTQ6K1c63QWl90in23YNyuldjY2MTs7Oz2fxghOspU1iI47LPMj+5r7vfw8DPmd7QMj/Cxva7pKqcqh79t/Rsb8jYwcsBIHpj6AHG2KEpeeomKDz9CKUXQ1VcTeustnVpPqrNMZgurdheyfFsuG38sxdVFsWB8JNdPH0yy1DJOy2md2a0ExUJggdb6F/bX1wFTm9aQauX9s4ErMCb57WxaybYtUqMQTtVYbyxTUrj7+AAxGxPMUC5GJ3lknHEb2qamqx4+ZFdrzdqctfw95e8U1BZw6fBL+V3i7wgobaDkxReo/PgTlIcHwddfT8hNP8M1MNCp5c0pNfHOlmz+l3KEyrpGxkT6c/30IVw+OVqWST+FnhQUV2HURFoGRbLW+nZHXVOCQvQ4NpvRdNUUGsearlrM9/ANP7npKmREj7uroKnRxCu7XuHNjDfxdvXmjoQ7WDhqIdacIxz913NUrViBS0AAITfdRPB11+Li69yhrHVmK5/tyOPNjdnsLajC38uNxcmx3DhjCNFBvatm19V6UlB0uOmpvSQoRK9hKjNGWTUFSNEuKN4HtkZjv5u30VTVMjwixoNn186abo/Mykwe3fwoWwq3EBcax5+m/YmxIWOp37+fo8/+k5q1a3ENCSH01lsYsGgR6gzvieFoTX0Zb2zMYtXuQgAuiovilpnDmDDQubWfnqIr+ih+prV+ox3HDeH4oHDD6MyeC+RhdGYv0VpndKggrZCgEL2axQwl+5trHkX22kddefMxwcPsfR8Tm5uvAgZ2+4RBrTUrMlfwZMqTVDRUcN3Y67gt/jZ83H2o276d4qefwbRlC+6DBhH+u//D/4ILekQ/QW65if9szOK9rUeoabBwzshQbps9gmnD+nc/RlcERY7WOvY0x7wHzMaYA1EE/Flr/ZpS6kLgGYyRTq9rrR/tUCFOQYJC9DlaGyOsmmodBTuhaDeUHW4+xntAc39HZJwRJGGjwdW9y4tX2VDJM2nPsPzAcqJ9o7l/2v3MjJmJ1pra9RsoXrqUhv378YqLI/yuP+CbnNzlZWqPqvpG3t6UzRsbMimpMTM5NojbZo9g7phwXFz6X2B0dB7FzlPtAkZprT0dVD6HkqAQ/UZDtb3pqsWQ3eI9zbeldfUwVtltCo/ICUaAeAd1SXHS+4ChIgAAIABJREFUitL4y6a/cLjyMPOHzOfe5HsJ9Q5FW61UfvY5R599FkthIX7nnkv47+/Ec0Srt7vpdvWNVpalHuGlHw6TW17HqAg/bp8zkoviovpVYHQ0KIqA+UD5ibuAjVrr7p+a2Q4SFKJfs1qg7Ed7raNFgNQebT4mKBYiTug4D4p1SNOV2Wrm9d2v88rOV/B09eT/Ev+PhaMW4qJcsNXXU/bW25S+/DK2ujqCrlpI2O23d8vCg+1hsdr4fGc+L3z3IweKahgbFcAfzh/FnDHh/aJJqqNB8RrGvbHXt7Lvv1rrJY4tpmNIUAjRiuqi5uG6Rfb+j9JDoI37XuMZ2BwaUfYaSNiYDjddZVVm8fDmh9lauJXkyGQemv4QgwIGAWApL6fk389T/t57uHh5EfLLWwm+/npcPHtGI4XVpvliZz5PfXOA7FITCbFB3DV/DNOH94xA6yqyKKAQ4mRmk9FUdWy5kl1GU5bFWOb7WNNV0zpXURPP6AZRWms+OvgRS1OXYtVWfjv5tywesxhX+5DfhsOZFD/5JDXffmt0eN99F/7nnddj/npvtNpYvi2XZ1cfpLCqnrNHhHL3gtFMjOmapjtnk6AQQrSPzWrUNJpqH03rXZlK7QcoY35H1MQWN4iaBD7BpzxlYW0hD29+mB9yfyA+LJ6/nPUXhgUOO7a/duNGih57jIaDh/CZNo2IP96L1+jRXfxB26++0cq7W3J4/ttDlNaauTw+mrsWjGFgH5uH0dGmpzStdcJpTnzaY7qbBIUQDnbcDaKaFkrcAZVHmo8JiDnhHh+TICD6WL+H1povDn/B41sfp95Sz23xt3HD+BtwczFmSWuLhfL//Y+Sf/4La3U1QT+9irA77sBtQM+5Q2F1fSMvfv8jr6zLRAG3zBzGbbNH4O3RsyZFdlRHg6IOONjWeYHA0w2T7W4SFEJ0E1NZi7sL2gOk5CBg/73iE9Jc47CHR4mXP49ufYzVOauJC43jkbMeYVhQc+3CWlHB0ef+bfRf+PoSdsdvjQl7rj3nl3FeRR1/X7mPz3bkMzDImwcvGcf54yJ6TJNZR3U0KAa349xWrXXu6Q/rPhIUQjhRQ03zbPOC7UaItJxt7hmAjozjqwFhPFqzF5O28Ov427hh/M+O9V0ANBw6ROEjj2LavBmvceOI/PODeE+a5KQP1both0t58NMM9hdVM2tUGA9dOp6hob337nvSRyGEcB5LAxTvPf72tIW7KLGZeSQ0mDW+PsRrdx4NmUZszFkQHQ+ho9EurlSvWkXRY49jOXqUoIULCbvzdz2qOarRauOtTdk8/c0BzBYbt8wcxq/P7Z3NURIUQoiexX6DKJ2/nRVZX/K3yp1YtI07y8q5uroG5eZlDNGNnox1wHhKvtpH2fIVuPr6EnbnnQRdtRDVg+71UVxVz2Mr9/Fxeh4xA7x5YuFEZgx33pLrHSFBIYTo0QprC/nzhgfZWLCJGf7D+IvnMCKL90P+dmisBaDBFEBheiimI/V4jxpE5J/uxSvp3G5f46otWw6Xcs+HO8kqNXHdtMHce8GYXnOL1k4FhVJqnNZ6zwnbZmutv3NcER1HgkKI3klrzbIDy1iauhQ35cYfp/6Ri4dcgCo9BPlpkJ+Ozt1G5aYDFKf5YDW7EDLBSuiFE3AZkgwDE42Hk29LW2e2svTr/by+IZOBQd48ceVEZozo+bWLzgbFbuBt4AnAy/6cpLWe7uiCOoIEhRC925GqI9y/4X7Si9OZP2Q+f5r2JwI9WywFbjFjObiZ4qf/ReUPu3EPdCEqsQTfcPsaVwOG2EMjCWKmGMN23bp/1ndqVhl3Ld9JZkkt106L5d4LxuLXg2sXnQ0KX+DvQCLgD7wL/F3rprn/PYsEhRC9n9Vm5Y2MN/h3+r8J8Q7hb2f/jeSok1edrd28hYIHH6QxJ4egBWcTftFIXMt3Q25q8z3NXdyNsIiZYn8kQdDgbmmyqjNb+cfX+3nNXrtYetUkpg3rmUuBdDYoPIBHgXmAH/CA1vp9h5fSQSQohOg7MkoyuHfdvWRXZXPjhBu5Pf523E9Yf8pWV8fR556j7I03cQsJIfLPD+J/3nnGJMHcVMhNgbxtkJfWvDyJb5gRGgMT7c8JXXpDqNSsMn6/bAc5ZSZ+cfZQfn/+aLzce9bIqM4GxQ7gU+BhIAR4CWjUWi90dEEdQYJCiL7F1GjiydQnWX5gOWODx/L4zMePWwKkSd3uDAoeeICGffvwnz+fyD89gFtoi74BqwWKM+zhYQ+QUvucYuUCYWON2kZTzSN0FDhwZFVtg4XHVu7lnc05jIrw49lFkxkbFeCw83dWZ4MiSWudesK267TWbzuwjA4jQSFE37Q2Zy1/3vhn6i313DXlLq4addVJs6F1YyOlr71OyfPP4+LrS+RDDxEw//xTn7Su3KhtHEmBPHt41Fca+zwDISYRYpJh0BSjz8MB9/L4bn8xdy3fSaWpkXsuGMPPZgzpEfe96GxQtLpEh9Y6xwFlczgJCiH6rqOmo9y//n42FWzivNjzeGjGQ8d3dNs1HDxI/r1/pD4jg4BLLiHygftxDWzHvbFtNmNRxNwUyN1qBEjxHo4tSxI2BgYlw6CpMGgahAzvUF9HaU0D93y4i9V7i5g5KoylCycSHuB1xudxpM4GxS6MfyWFMeppKLBfaz3e0QV1BAkKIfo2m7bxVsZbPJv+LCFeITx+zuMkRZ70+w3d2EjJyy9T8sKLuIWEEPXII/idc/aZX7ChurnWcWSLESBNtQ6fUIidZgRH7HRjXSs3j3adVmvNf7fm8PAXe/DxcOPvV05k3riIMy+fgzh0wp1SKgG4VWt9qyMK52gSFEL0DxmlGdzzwz0cqT7CLyf+klsm3nLcelFN6nZnkH/vPZgP/UjQoquJuOsuXHw7sSaTzQYl+43QyNkCOZugPNPY5+ZldJDHTjNqHIOST9tcdai4mt++t509BVUsmRrL/ReOdcokPYfPzO6Jy4s3kaAQov+obazlkc2P8MXhL0iKSOLxcx4nwvfkv8ptDQ0cfeZZyt58E/fYQQx84gnHLjJYXWQPjs1wZLOxnpXNAigIH2cER+x04zlo0Elvb7BY+cfXB3hl3WFjCZArJ3X7HfU62/R0Z4uXLkACEKK1nu+4IjqOBIUQ/c9nP37GI5sfwdPVk0fOeoRZg2a1epwpJYW8e+7BUlRM6K9+Regvb0W5dcFf7+ZaY2TVEXuN40gKmKuNfQExMHi6ERyDZ0Do6GOjq7ZmlnH38h1klZq4fvpg7lnQfUuAdDYo/tzipQXIAj7UWtc7rIQOJEEhRP+UWZnJ3T/czb6yfVw79lp+l/g7PFxP7i+wVldT+PDDVH32Od7x8UQvXYpHzMCuLZzNaiy/nrPJeGRvgppCY5/3AHttYzoMPou60Ak88c0h3tyYRcwAb55c2D2T9GRRQCFEv9BgbeDpbU/z7t53GRs8lqWzlhIb0Pq91Sq/WEHhQw8BEPmXhwi86KLuK6jWRr9G9ibI2Wg8l/1o7PPwh8HTyQlI4JGMUFZXRHLd9KHcOW80gT7ubZ+3Ezp646LPOTYm7GRa60sdUzzHkqAQQqzNWcsDGx7Apm08NOMhFgxZ0Opx5txc8v9wF3XbtxP4k58Q+cD9nevo7ozqIsjeAFnrIWsdlBwAoN7Flw2No9jlOo5hiecxf94CPL18HH75jgZF6418dlrr7x1QNoeToBBCAOTX5HPXD3ex8+hOrhp1FXdPuRsvt5PnKmiLhaP//jelL76ER2ws0U/9A+/xPWD0f3WRERhZ62g4tA7PSqPG0YA7FYHjCBo1A88hU40JgYGdbzrraFDE9tRJdW2RoBBCNGm0NfKvtH/xRsYbjBwwkqWzlra6/AdA7dat5N99D5bSUiL+8HsGXH99z7oPdm0Je7Z8zaHUb4iq2c1ElYmnst9i1j/amD0+6x6I6FjIdTQojg2BVUp9qLW+skNX72YSFEKIE63LXcf96++n3lrPA9Me4NLhrbecWysqyL//AWrWrMF/3jyi/vYorv5dt1hgR+3Oq+TdDQc5uHMzE/R+5gXkMFkdxOO6D3CLmtChc3Y0KNK11pNP/Lmnk6AQQrSmqLaIe9bdw7aibVw2/DLum3ofPu4nt/VrrSl78z8U/+MfuEdFMfCZp3tGU1QrymvNvJ9yhHc2Z5NXUcfrNyYxZ0zHZnc7okbRYyfYnUiCQghxKhabhRd2vMArO19hWOAwls5ayogBI1o91pSWTt6dd2ItKyPivvsIuvqnPaspqgWrTfPd/mJmjw7HtYMLDHY0KKxALcYaT96AqWkXoLXWPWd93BYkKIQQp7MpfxP3rrsXU6OJ+6bex+UjLm81BCzl5eTfdTe169cTcPHFRP3lIeeNiupipwqKNhda11q7aq0DtNb+Wms3+89Nr3tkSAghRHtMj57O8kuWMylsEg9ufJD71t+HqdF00nFuAwYw6OWXCLvjt1R9+SWZP72ahsOZTiix8zjujhxCCNHLhPmE8dK8l7gt/ja+zPySq7+4mv1l+086Trm4EPqrXxH7+mtYy8rIuuoqqr75xgkldg4JCiFEv+bq4sqvJv2KV89/lZrGGpasWMKyA8torVned9o0hn64HI9hw8i7/bcUP/0M2mZzQqm7lwSFEEIAUyKnsPyS5SRGJPLXTX/l7h/uprppEb8W3KOjGfzO2wRdtZDSl14i97ZfY60++bi+RIJCCCHsQrxDeHHei/x28m/5Jvsbfvr5T9ldsvuk41w8PYn861+JePBP1KxfT9bVizBnZXV/gbtJjw8KpdRspdQ6pdSLSqnZzi6PEKJvc1Eu3DzxZt5c8CZWbeW6L6/jPxn/waaPb2JSShG8ZInRb1FeTuZPr6Zm3XonlbprdWlQKKVeV0oVK6V2n7B9gVJqv1LqkFLq3tOcRgM1GLdgze2qsgohREvx4fEsu2QZswfNZmnqUn695teU1pWedJxvcjJDli3DPTqaI7feSulrr7fav9Gbdeky40qpmRi/5N/SWk+wb3MFDgDzMH7xpwCLAVfgsRNOcRNQorW2KaUigKe01tec7royj0II4Shaaz7Y/wFPpDxBgGcAj53zGNOipp10nM1kIv+++6letYqASy8h6uGHcfH0dEKJO65D8yg6S2v9A1B2wuZk4JDW+rDW2gy8D1ymtd6ltb74hEex1sfqe+VA7/pXF0L0ekoprh5zNf+96L/4e/hz89c380TKEzRYG447zsXHh4FPP2XMt/jsc3J+dhOWshN//fVOzuijGAgcafE6176tVUqpK5RSLwFvA8+1cdwtSqlUpVTq0aNHHVZYIYQAGB08mv9d/D8WjV7E23veZtEXi06ac6GUIvRXv2LgM89Qn5FB1k+vpuHgQSeV2HGcERStLULS1s2RPtJa36q1vlpr/V0bx72stU7SWieFhYU5opxCCHEcbzdv7p92P8/PfZ6KhgoWfbGIF3a8QKOt8bjjAhbMZ/A7b2NrqCdr8ZJe38ntjKDIBQa1eB0D5DuhHEII0SHnxJzDx5d+zPlDzuf57c+zZMUS9pXtO+4Y77g4hn7wAe4xMRy59VbK3n3XSaXtPGcERQowUik1VCnlASwCPnNCOYQQosOCvIL4+8y/88y5z3DUdJTFXyzm+e3P02htrl24R0Ux5N138Js1i6KHH6HwkUfRVqsTS90xXT089j1gEzBaKZWrlPq51toC/Ab4CtgLfKC1zujKcgghRFeZGzuXTy77hAVDF/DCjhdYtGIRe0r3HNvv4utLzHP/IvjGGyl/5x3y/u//sNXXO7HEZ65Lh8c6iwyPFUI4w7c53/LXzX+ltK6UK0Zewe2TbyfEO+TY/rK33qLoscfxjo9n0AvP4xoU5MTSnswpw2OFEKI/OTf2XD69/FOuHXctnx76lIs/vpg3dr+B2WoGIPj66xn49FPU795N1jXX0lhY6OQSt48EhRBCOFCARwB3T7mbjy77iISIBJ7a9hSXf3o5a3PWorUmYMECBr32KpbCQrKXXIM5O9vZRT4tCQohhOgCQwOH8u+5/+bF817E3cWdO769g5u/vpmMkgx8k5OJ/c9/sNXVkXXNtdTvP/keGD2JBIUQQnShswaexfJLl3Nv8r3sL9/PohWL+MP3f6A41o/B776DcnMj+7rrMaWnO7uopyRBIYQQXczdxZ1rxl7Dl1d8yS0Tb+GH3B+47JPLeKTgDTxeehLXAUHk3PRzajZscHZRWyWjnoQQopuV1JXw2q7XWHZgGRabhYUh53HVC3vQ2blE/2MpAeef75RyyagnIYToIUK9Q7kn+R5WXrGSxWMW80n5d9x0SR7Fsf7k/e53VK/91tlFPI4EhRBCOEmYTxj3JN/DqitXcVnCNfzxynoOhWuy7vgNP37XcxaskKAQQggnC/UO5e4pd/PJolX8+KfFFAdoKu64h8ffvZVD5YecXTzpoxBCiJ6m+HAGudfeQEODiQevcyUufh63TryV0cGju/S60kchhBC9RPiw8Yx/+38McA/g8Q+9ydi/noWfL+QXX/2CtTlrsdq6d2FBCQohhOiBPIcPZ/DLL+Nba+W5L8K5c9StZFdnc8e3d3DhRxfyr/R/kVWZ1S1lkaYnIYTowWo3biTn1l/iHRdH9Msv8EPpVpYdWMbmgs3YtI240DguGnYRFwy9gGCv4E5d61RNTxIUQgjRw1Wt+oq8O+/EJyGBQS+9iIuvL8WmYlZmruSLw1+wr2wfrsqVswaexR0JdzBqwKgOXUf6KIQQopcKWDCfgUufxJSeTs4tt2KtqSXcJ5wbxt/AskuW8dGlH3HD+BvYX7YfT1dPh19fahRCCNFLVK1aRd7v/4D3pEkMevEFXAMCjttv0zZcVMf//pcahRBC9HIBCxYw8KmnqNu1i+xrr6OxqOi4/Z0JibZIUAghRC8SMP98Yl96kcbcXLIWL6bhxx+7/JoSFEII0cv4zpjB4HfeRpsbyVpyDaa0tC69ngSFEEL0Ql7jxjHk/fdwCwoi52c3Ub1mTZddS4JCCCF6KY+YGAa/9188R48m9/bfUv6/D7rkOhIUQgjRi7kFBzP4zTfwPedsCv/8Z6q/dfwS5W4OP6MQQohu5eLjw6DnnqP8gw/wmznT4eeXoBBCiD5AubsTfM01XXJuaXoSQgjRJgkKIYQQbZKgEEII0SYJCiGEEG2SoBBCCNGmPrl6rFKqEjjYxiGBQOUp9oUCJQ4vVNdr6zP15Gt19FwdeV9739Oe49o6Rr5fPedanTnXmb63u75fbe3v7PdrsNY67KStWus+9wBe7uh+INXZ5e+Kz9xTr9XRc3Xkfe19T3uOO813SL5fPeRanTnXmb63u75fbe3vqu9XX216+ryT+3uj7vxMjrxWR8/Vkfe19z3tOa6tY+T71XOu1Zlznel7u+v7dSbXcog+2fTUGUqpVN3KjTuEcAT5fomu1FXfr75ao+iMl51dANGnyfdLdKUu+X5JjUIIIUSbpEYhhBCiTRIUQggh2iRBIYQQok0SFEIIIdokQXEGlFKXK6VeUUp9qpQ639nlEX2LUmqYUuo1pdRyZ5dF9A1KKV+l1H/sv7c6fLOKfhMUSqnXlVLFSqndJ2xfoJTar5Q6pJS6t61zaK0/0VrfDNwIXN2FxRW9jIO+X4e11j/v2pKK3u4Mv2tXAMvtv7cu7eg1+01QAG8CC1puUEq5Av8GLgDGAYuVUuOUUnFKqS9OeIS3eOsD9vcJ0eRNHPf9EqItb9LO7xoQAxyxH2bt6AX7za1QtdY/KKWGnLA5GTiktT4MoJR6H7hMa/0YcPGJ51BKKeBxYKXWOq1rSyx6E0d8v4RojzP5rgG5GGGxnU5UDPpTjaI1A2lOWzD+UQe2cfztwHnAQqXUL7uyYKJPOKPvl1IqRCn1IjBZKfXHri6c6FNO9V37CLhSKfUCnVgfqt/UKE5BtbLtlFPVtdb/BP7ZdcURfcyZfr9KAfkDRHREq981rXUt8LPOnry/1yhygUEtXscA+U4qi+h75PslukuXftf6e1CkACOVUkOVUh7AIuAzJ5dJ9B3y/RLdpUu/a/0mKJRS7wGbgNFKqVyl1M+11hbgN8BXwF7gA611hjPLKXon+X6J7uKM75qsHiuEEKJN/aZGIYQQomMkKIQQQrRJgkIIIUSbJCiEEEK0SYJCCCFEmyQohBBCtEmCQvRLSimrUmp7i0ebS4B3lxblilZKbbH/nKOUOtqirENOeM9spdSmE7a5KaWKlFJRSqknlVKFSqk/dOdnEX1Hf1/rSfRfdVrreEeeUCnlZp/41BktyzXVft4bgSSt9W9O8Z4fgBil1BCtdZZ923nAbq11AXCXUqq2k+US/ZjUKIRoQSmVpZT6i1IqTSm1Syk1xr7d137DmBSlVLpS6jL79huVUsuUUp8DXyulfJRSHyildiql/mevFSQppX6ulHq6xXVuVko91YHyDVdKrVJKbVNKrVNKjdFa24BlHH8zrUXAe536xxDCToJC9FfeJzQ9tfwlW6K1TgBeAJqaa+4H1mqtpwDnAk8qpXzt+6YDN2it5wC3AeVa64nAw0Ci/Zj3gUuVUu721z8D3uhAuV8GbtdaJ9rL9rx9+3sY4YBSyhO4EPiwA+cX4iTS9CT6q7aanj6yP2/DuJUkwPkYv+ibgsMLiLX//I3Wusz+89nAswBa691KqZ32n2uVUmuBi5VSewF3rfWuMymwUsoPmAEsM+6hBYCn/fwpSik/pdRoYCywWWtdfibnF+JUJCiEOFmD/dlK8/8jCrhSa72/5YFKqalAy/b/1u4L0ORV4D5gHx2rTbgAFW0E3PsYtYqxSLOTcCBpehKifb4CbrffDhel1ORTHLce+Kn9mHFAXNMOrfUWjHsGLKEDv8i11lVAplLqKvv5lVJqUotD3gOuBeYgy5kLB5KgEP3ViX0Uj5/m+IcBd2CnUmq3/XVrngfC7E1O9wA7gcoW+z8ANnSiWega4OdKqR1ABsZ9kQHQWu8BTBh9KTLKSTiMLDMuhAMppVwx+h/qlVLDgTXAKK212b7/C+BprfWaU7y/Rmvt1wXlegio0VovdfS5Rd8nNQohHMsHWG//i/9j4Fdaa7NSKkgpdQCjE73VkLCrappw56gCKaWexGiSklqG6BCpUQghhGiT1CiEEEK0SYJCCCFEmyQohBBCtEmCQgghRJskKIQQQrRJgkIIIUSbJCiEEEK0SYJCCCFEmyQohBBCtEmCQgghRJskKIQQQrRJgkIIIUSbJCiEEEK0SYJCCCFEmyQohBBCtEmCQgghRJskKIQQQrRJgkIIIUSbJCiEEEK0SYJCCCFEmyQohBBCtEmCQgghRJskKIQQQrRJgkIIIUSbJCiEEEK0SYJCCCFEmyQohBBCtEmCQogupJT6jVIqVSnVoJR6s5X9wUqpj5VStUqpbKXUkjbOdSbH1rR42JRSdS1eX9PG+75SSv21le2XKaUKlVJu7fjYoo+RoBCia+UDjwCvn2L/vwEzEAFcA7yglBrf2WO11n5NDyAHuKTFtnfbKO+bwHVKKXXC9uuAd7XWljbeK/ooCQrR6yilspRSdymldtr/un5NKRWhlFqplKpWSq1WSg1wdjkBtNYfaa0/AUpP3KeU8gWuBP6kta7RWq8HPsP4pdzhY9tDKRWtlPpQKXVUKZWplPqtfdcnQDBwTotjBwAXA2915Fqi95OgEL3VlcA8YBRwCbASuA8Ixfhe//bUbz1zSqkvlFIVp3h80cHTjgKsWusDLbbtAFqrJZzJsW1SSrkAn9vfPxCYC/yfUmq+1roO+AC4vsVbfgrs01rvONNrib5BgkL0Vv/SWhdprfOAdcAWrXW61roB+BiYrJQaYv+Lea1S6nul1D+UUj4A9n1aKTXP/lrZ2/0fau1iWuuLtdZBp3hc3MHP4AdUnrCtEvDv5LGnMwUI01r/VWtt1lofBl4BFtn3/we4SinlbX99vX2b6KckKERvVdTi57pWXvvZf/5eaz1Haz0LqAX+0uK4FGCh/edpQGEXlfVUaoCAE7YFANWdPPZ0BgPRLWtFGLWxCAB7s9ZR4DKl1DCMYPlvB64j+ggJCtGfPAJc2uJ1DjDQPpLnKmDZqd5o7/+oOcVjZQfLcwBwU0qNbLFtEpDRyWNP5wiQeUKtyF9rfWGLY97CqElcB3yttS5q9UyiX5CgEP2G1toMeJyw+VvgXIw+gH1tvPeCliOJTnhccKr3KaXclFJegCvgqpTyahpiqrWuBT4C/qqU8lVKnQVcBrzdyvXbfWw7bAWqlFL3KKW8lVKuSqkJSqkpLY55CzgPuBlpdur3JChEv6GU8gQaTti8HHgc2NJFl30AoynsXuBa+88PtNh/G+ANFAPvAb/SWmfYy7tSKXVfe449E1prK8YAgHggEygBXgUCWxyTBWwEfDFGV4l+TGmtnV0GIbqEUmoIsFRrvdD++iHAS2t9b8t9Sql/AC8AY4AkrfVDziivED2VzLIUfd0spdRajKafrcCDJx6gtf49gFJqTDeXTYheQWoUQggh2iR9FEIIIdokQSGEEKJNEhRCCCHa1Cc7s0NDQ/WQIUOcXQwhhOhVtm3bVqK1Djtxe58MiiFDhpCamursYgghRK+ilMpubbs0PQkhhGiTBIUQQog2SVAIIYRokwSFEEKINvXJzuyOemfPO2SUZjA5fDKTwyczPGg4LkqyVAjRv0lQtFBlrmJT/ia+OGzc2dLfw5/4sPhjwREXFoenq6eTSymEEN2rT671lJSUpDs6PFZrTW51LmnFaaQXp5NenM7hysMAuLu4MyF0AgnhCSRGJBIfHo+/R0fuRCmEED2PUmqb1jrppO0SFM3MuXm4eHrgFnb8fJOK+opjobGteBt7SvZg0RZclAujB4wmMSKRpIgkEiISGOA1wFEfQwghupUERTvk//E+Kj/+GPeBA/GOjz/28BozGuXufuw4U6OJXSW72Fa0jdRBGBGRAAAgAElEQVSiVHYe3UmD1bgfzoigESRFJJEUmURSRBIh3iEO+1xCCNGVJCjaoX7vXmo3b6Fu+3bqtm/HUmTcJlh5eeE1YTw+kyfjPXky3vHxuAUHH3uf2WpmT+keUotSSS1MJa04jTpLHQDDA4cboWEPjlDvUMd8SCGEcDAJig5oLCg4Fhqm9O3U790LjY0AeAwejHdCAt4Jk/FJSMBj6FCUizFCqtHWaARHYSopRSmkF6VjspgAGBY4jCmRUyQ4hBA9jgSFA9jq66nPyMCUlkZdWjp16elYKyoAcA0MNGobiQn4JCbiNWECLh4eAFhsFvaW7iWlKIWUwhTSitKOBUdTjWNK5BSmRE4h2Cv4lNcXQoiuJEHRBbTWmDOzqEtPw5SeTt22NMyZmQAoDw+84uLwSUgwwiMhAdeAAMAIjj2le9hauJXUolTSipqbqkYEjWBK5BSSI5NJikgiyCuoyz+HEEKABEW3sZSVUZeejil1G6a0bdRn7AGLBZTCc+RIfJIS8U5MxCcpCfeICKC5qSqlMIWtBVtJL06n3lqPQjFqwCiSo5JJjkwmMSJRhuMKIbqMBIWT2OrqqNuxE1PaNupSt/H/7d13fFvV/f/x15G8994re5C9NySBDAghjC8plAYKhdIWOmjLLtCWEr500ELD/IaRlIYfJOwNCUnIcpzh2Nk78bbjbcuWZen8/rhy7ATHSWzZ8vg8Hw89ZOle3XsEN3773LMs6eloi3HbyTMxEb8xY/AbMxq/0aPxTE5GKYXNbmN38W625m0lLT+N9KJ0rHYrJmVicNhgxsWOY3zseEZGjcTXw9fN31AI0V1IUHQSur6e2n37sWzbhmXbNmq2bz/dzuERGYnf2LH4jRuL39ixePXujVIKq91KRlEGqXmppOWnkVGUQb2ux8PkwfDI4YyLMYJjWMQwPM2e5ymBEEI0T4Kik9IOB3VHj2JJS8OStg1LWhr1RUUAmMPCjBrHuHH4jRuLd9++KJMJi83CzsKdpOansjVvK3uL96LR+Hr4Mjp6NBNiJzAhdgL9QvvJXFVCiAsmQdFFaK2xnTzpDI40qtPSqM/NA8AcEmLUOMaPPyM4yq3lbMvfxpa8LWzJ28LxiuMAhPmEMT5mPBPjJjIhdgKxAbFu/GZCiM5OgqILq8vOMYJj61YsW7diy8kBwBwa6rxVNQ7/CePx6tMHpRT51fmk5qWyOW8zqXmpnKo5BUBKUAqT4iYxKW4SY2PG4ufp586vJYToZCQoupG67JzToVG9NbWxxhERgf+4cfhNGI//hAl4JiYCcLjsMJtzN7M5bzPb8rdRa6/Fw+TBiMgRRnDET2JQ2CC5TSVEDydB0Y3VZWdjSU2leksqli1bTrdxeMTF4j9+Av4TJ+A3fgKe0VFY7VZ2Fu5kc+5mNuVuYn/JfsC4TTUpbhKT4yczKW6SDPwTogeSoOghjEGAx6jesgXLllQsqanYy8sB8OrTB/+JE/GfNAm/cWMxBwRwquYUm3M3szF3I5tyNlFqLUWhGBw+mCnxU5gSP4WhEUMxm8xu/mZCiPYmQdFDaYeD2n37sGzZQvXmLVi2bUPX1oLZjO/QofhPMoLDd/hwHGYT+0r2sSFnAxtyNpB5KhOHdhDsHcykuElMjZ/KlPgpMpW6EN2UBIUAwFFXR82OnVRv2Uz15s3UZu4GhwOTnx9+48fjP2kS/pMn49Ur5fSKf9/lfMeGnA2U1JagUAyNHMq0+GlMTZjKwLCB0rYhRDchQSGaZa+ooDo1lepNm6jeuAnbyZOA0b4RMHky/pMn4z9xIiookL3Fe/ku+zvWZ69nd/FuACJ9I5mWMI1LEy5lQtwEGSkuRBcmQSEuSF1WFtUbN1G9cSPVW7bgqKwEkwmfoUMImDwF/6lT8B06lGJbGRtzNrI+ez0bczdSbavG2+zN+NjxXJpwKZcmXEq0f7S7v44Q4iJ06aBQSi0ArgKigCVa669a2l+CwjV0fT01GZlUb9hA9caN1GRmGrepgoLwnzSJgCmT8Z86FSLC2FawjXXZ61ibtZacKmOcx+DwwVyWeBnTE6czIHQASik3fyMhREvcFhRKqdeAeUCh1npIk/fnAP8CzMD/aa2fvoBjhQJ/01rf0dJ+EhTtw15WRvWmTVRt2Ej1hg3UFxYC4N2/PwHTpuI/bRq+I0ZwzJLF2qy1rM1ay66iXWg0cf5xRmgkTWd09Gg8TTInlRCdjTuDYhpQBSxrCAqllBk4CFwBZANpwE0YobH4rEPcrrUudH7u78BbWusdLZ1TgqL9aa2xHjxE9XfrqVr/HZYdO6C+HlNAgFHbmDYV/6nTqAgysy57Hd+e/JbNeZux2q0EegVyacKlTE+czpT4KTJCXIhOwq23npRSKcAnTYJiIvCE1nq28/VDAFrrs0Oi4fMKeBr4Wmv9zTn2uQu4CyApKWn0iRMnXPwtREvsVVVUb95M9XojOBrWG/cePIiAadMIuPRS9KC+bCncyrcnv2Vd9jrKrGV4m72ZHDeZy5MvZ1rCNIK9g938TYTouTpbUNwAzNFa/8T5+kfAeK31Pef4/C+BWzFqHula65daOp/UKNzLqG0cpGrdeqrWr6NmZzrY7ZhDQwmYNpWASy/Fe9IEMmqPsPrkar458Q0FlgI8lAfjYscxM2kmM5NmEu4b7u6vIkSP0tmC4n+A2WcFxTit9b2uOJ8ERediLy+nasMGqtato3r9d8b6G2YzfiNHEjB9Ov7TL+VgYPXp0DhZeRKTMjEmegxXJF/B5cmXE+Eb4e6vIUS319mC4qJuPV0sCYrOS9vt1GRkULV2HVVr12I9cAAAr+RkZ2hcRnavQFbnfstXx7/iaPnR06ExO2W21DSEaEedLSg8MBqzZwI5GLeUbtZa73HF+SQoug5bTg6Va9dS9e1aLKmpaJsNU3AwAdOmEThjOgVD4/nq1Hd8cewLjlccx6RMjI0Zy+yU2VyRdAUhPiHu/gpCdBvu7PW0ArgMiAAKgMe11kuVUlcC/8To6fSa1vovrjqnBEXXZK+qpnrTRqrWfEvV2rXGLSpPT/zHjydg5gwKR6XwVXUaXx7/kpOVJ/FQHkyKn8TcXnOZkThDek8J0UZdesDdxWptUFjq6vHxMGMyycAwd9N2OzXp6VR+s5rK1atPTy3iM3wYgTNnUjSmF587Mvns2GcUWArwMfswPXE6c3vNZUr8FFk7XIhWkKC4AA+9l8GqHTkkhvqSEu5PUrjf6efkMD8SQv3w8pAJ8Dqa1pq6w4epXL2aytVrqM3MBMCrd28CrricnNGJfOa5jy9PfEWZtYxg72BmJc9iXu95jIgaIZMWCnGBJCguwOp9BaQeK+FEcTUnii2cLLFgqbOf3q4UxAX7khjmS2KoH4lhfiSF+Rmvw/yIDPCWaSo6gC0/3wiNr7/BkpYGdruxSNPlMzkxMoYPfQ+wJmctNfU1xAfEM6/3PK7uczXJQcnuLroQnZoERStorSmqsnKy2MJxZ3BklTQ+F1Zaz9jfx9NEfIgRGgmhviSEnvkc7u8lQeJi9aWlVK1ZQ+XX31C9cSPaZsMcEYHvzMs4MCyUlf772VyYikM7GBYxjHl95jEnZY6sqSFEMyQo2kGtzU52qYWskprT4ZFdWkN2mfFeeY3tjP0bgiQ+1M94DvEhPtSX+BA/4kJ8iAnywcMst0lay15VTdW6tVR+/Q1V69aha2owh4TgMX0yuy7x57/+meyvOISH8mBqwlSu7XstUxKmyLxTQjhJUFyItKVQsBsSxhqPsD5gav0v7spamxEcpTXklFpO/5xbXkNOaQ3F1XVn7G9SEB3kQ1yIL7HBPsQ7n2NDfE//HCa1kgviqK2l6rvvqPzyK6rWrMFhsWAKDsYxZQxbB5pZ5pdOYX0JYT5hXN37ahb0XUDf0L7uLrYQbiVBcSG+fhy2vQbWCuO1TwgkjHEGxxiIHwO+ruu3X2uzk1NmhEZOWQ15ZTXklNWSW1ZDXnkNueW11NU7zviMl4fJCI9gH+KCfYlxBklskA8xwcYjzM9Lem414bBaqd6wgYovv6Rqzbc4qqowBQVRNfES1vSz8nbAHuqUnaERQ1nQdwFX9rqSAK8AdxdbiA4nQXGhHA44dRCy0yB7K2Rvh8K9gPO/U8SAxuBIGAtRg8BkdlnZm9JaU1xdR15ZLbnlNeSW1ZBfXktueS15ZTXklddSUFFLvePM/4deZhPRwd7EBvkSHexDTJA3McG+xAT5EB3kTXSQD1FB3nh7tE+5OzNHXR3VGzZS8cXnVK1eg6O6GhUSQsHYFD5KKebrsFy8PX2ZlTKL6/tdz8iokVKDEz2GBEVb1FZA7g5neGyDrK1QU2Js8wqA+FGNt6sSxoJ/x81LZHdoTlVZyS+vJa+8lrzyGvIrailwvi6oMJ6tZ9VMAML8vYgOaggSH6ICjRpJQ5hEB3Xv2onDaqVq/XoqP/+Cym+/RdfUoMOCOTQyincSc8iIsdI7pA839L+Bq3tfLaPARbcnQeFKWkPJUSM0stOMR34maGdX2tBeRmAkjjNqHtFDwI0DwLTWlNfYyK+oJd8ZHvnlViNQTj+sFFdbOfty8DQrogKNGkh0oBEiUc4QiQ7yJibIh6ggH4J8PLr0X96Omhqq1q2j4rPPqVq7Fl1Xhy0yhK1DvPmg1ynyYry4POUKbuh/A2Oix3Tp7yrEubQqKJRSGRdw7CKt9cy2FM7V3DKFR50F8tIbgyNrK1QZazLg4QtxIyGxodYxDgI733rSNruDokojQAobQqXSejpMCiuMnytq67/3WR9PkxEeDaES5ENUYONtroYaSoC3hxu+2cWxV1VRtXo15Z99RvWGjWC3UxEXzOr+VtYMtOGb3IsbB9zI/D7zZf0M0a20Nij2AFe2dFzgI631sLYX0XU6xVxPWkN5ljM0nOGRtwsczi6zIUlGYCSMNQIkeih4eLm3zBeops5OYaURJPkVtRQ5wyS/wkphRS2FztdNBys28Pcyfy88GgKloZYSFeiDr1fnaD+pLy2l8ssvqfjkUyzOayonyY8vBtSyY4gv04bOY+GAhQwKH+TmkgrRdq0Niila6w3nOfB59+lonSIommOrNcKioaE8Kw0qc41tHj4QO8IIjcTxnbbWcaG01lRZ643QKG8Mj3xnkBQ2/Fxhbbb9JMjHw9le4uNsR/FxNsw33vIKD/DG3IHtJ7a8PCo++4zyjz/Bun8/DrNiV28Tay/RWCcM44ahNzM7ZTZe5q4R+EKcrbVB8Tvg/2mts9qzcK7WaYOiOeU5jaGRvdUIErtzfEVDrSPRWfOIGerWto72oLWmoqbeGSBGW0lBk7aT/AojaIqqrNjP6t1lNimiA71PdwuOCfIlJtjo4RV7OlR82mV+rtoDB6n4+CNKP/oIR2ERNd4mNg/Q7BgdzMjLb+bGQQuJ8oty+XmFaE+tDYpngRuAY8AK4F2t9al2K6WLdKmgOFu91QiLrK3N1Dp8G3tYJY4zQiQg0r3l7SB2h6a4ynpmg7yzR1fDLbD88u/f7lIKIgK8T489iQ1uOojRGNwYFejT6pqJttuxbN1K2YcfUv7lF6gaKwUhsGGIGa6czrXT7uaSiEtc8Z9AiHbX6l5PyujeMQ34AXANsAsjNN7XWle2Q1nbrEsHRXPKs53B4Wwkb9rWEZrivFXlDI+oS8Dc+RuM24PWmora+tNdghvGmhhjT4wxKPnltVRaz2yMN5sUMUE+xDmDo+GREOLrnGLFF/8LaIR3WCxUfvMNBSvfpj5tJ0rD3kQ4OjmFEQt/zvQBc/Ew9cz/N6JrcEn3WKWUGbgceBoYoLXulCvFdLugOJutBnLTnTUOZ4A09LDy9DdqHQ01jsRx4Bfm3vJ2MpW1NvLKa8kpMwYx5jlHw+eUGdOr5JV9fxBjiJ+nc36uxkkeGyZ/TAzz+15vLlteHkXvraRg5dv45JVQ6wkZQ/wJXDCfKxb8hkDvwI78ykJckDYHhVJqKEatYiFQDKzQWv/TpaV0kW4fFGfTGspOOmscqUZ4NB3XEdansZ0jcRxEDW630eTdgd2hKaq0GtOrlNWQXWo5Pc1Kw/PZt7hC/DydU88bwZEY6kdyuB9JoX6EHNvLof++hMeaVLytdgpCTZRdMYrxtz9IbIrclhKdR2vbKPphhMNNgB14GyMgjrZXQV2hxwVFc+oskLuzsZ0jKxUszualM0aTS63jYmmtKamuI7u0hiznZI9ZJRaySmvIds4gXGdv7MnlYVLEh/rSO9DMiOw19N3+Bb2PleNQkDskhpQf3k7fq36A8uxeHRVE19PaoDiK0R7xttY6sx3L51ISFM3QGkqPN7ZzZG+F/N1n1joaxnQkOGsdPbSto60cDk1+Ra1z8avGRbCySox1TcprbMRZDzE37zNmHM4irAoq/Dw4NHoC5rm3EjdkAL0j/IkP8e2206eIzskVt56SgX5a62+UUr6AhzRmd3Gnax1NRpNXFxrbGto6GuavShzXoXNYdWel1XUcK67m+KlqDuRlU7p1KUN2bGHU4XrMGjKiY/kscTrbk0aQEBVMn8gA+kT60ycqwPlzQKcZkCi6lzYFhVLqTuAuIExr3cd5S+qlzjZ1RwMJilbSGspONI7paJjDyuHsJdTJ5rDqTiw2C5+kLuPYitcZv72C6DKw+PmSOeRSPk2awHZ7AA3t60pBQqgv/aIC6RcVQN+oAPpHB9IvOgA/L6kFitZra1CkA+OAVK31SOd7mVrroS4vqQtIULhQ0zmszu5hdXpcx5hOPYdVV2Jz2Pj8yKese/95hmzMY+whjdkB3uPGUTf3Go4OGMOhEisHCys5UljF0aLqM9pDEsN8GRAdyICYQAbEBDEwJpBeEf54ysqJ4gK0NShStdbjlVI7tdYjlVIewI7ONsdTAwmKdtQwh1XWVufsuVshL6NxXEdwUpPJD8dCzLAuM4dVZ2J32Fl9cjUrNr5A4vpDzNqlCC+zYw4PJ+TG/yH0xhvxjI2l3u7gRImFQwWVHCyo4kBBJQfyKzl2qvr0SHYvs4nekf4Mjg1icJzxuCQ2mGA/qQ2KM7U1KJ4ByoBFwL3Az4G9WutHXF1QV5Cg6GC2WsjPaKxxZG+Dimxjm9kbYoc3WexpDAQnGvdPxHlprfku5zteTX8FvXUn89M9GXLIilImAmZMJ+zmm/GbOPF7055b6+0cLqziYEEl+/ON8NibW0FhpfX0PvEhvgyOC2JIXDBDE4IYEh9MVKBPR39F0Ym0NShMwB3ALIwZY78E/k930sUsJCg6gYrcJo3kacbtq/paY1tA9JnLy8aNBG9ZerQlWmvS8tN4YdcLnDywjWsyfZme4cCzwoJXSgqhN99M8LULMAe2PJCvqNLK3rwK9uZWsDevgj255Rw7VX16HZKYIB+GJwYzPDGEEQkhDEkIJshHah49hSxcJNzLboOC3c7bVc4Fn0qOGNuUyeiOGz+6MUAi+sugwGZordmav5UX0l8gM3c7s44GckOmP/4Hc1B+fgRfM5+wW27Bu0+fCz5mlbWevbkVZGSXkZlTzq6sMo4XW05v7xPpz4jEUMakhDI6OZS+kQHSbbebau04imuABK31EufrVKBhFroHtNbvtkdh20qCoouoLoac7ZDjDI6c7VBbbmzzCoS4Ec5ax2ij5hEU697ydiINNYwl6UvYUbiDMaWh/ORgPOEb9qLr6vCfNInQRT8iYNo0lOniG7LLLHVkZBuhsSu7jB0nyyipNmY1DvLxYFRyKKOTQhmdEsrIxFDprttNtDYoNgI/aJhm3Nn7aSbgD7wu3WOFSzkcRi0je5szPLYZtZCG7rmBcUYvq/jRxiNuJPgEubfMbtZQw/j3zn+TXpROfxXDr7MvIfqLndgLC/FMTiLsh7cQfN21mANaf3tPa83xYgvbjpew42Qp20+UcrCgCjCWyx0SH8y4XmFM6BXOmJRQAuV2VZfU2qBI01qPbfL631rre5w/b9FaT2iX0raRBEU30tBQnrPdCI7cHcZ65QAoiBzgDI5REDfKGNvRA3tZaa3ZkLOBf6f/m73Fe+kb0IvfVk0m4fN0atLTMfn5EXzD9YQtWoRXQoJLzllusbH9ZAlbj5WSdryEjOwybHaNScElccFM6B3G+F7hjO0VRrCvBEdX0NqgOKy17nuObUe01hd+I7QDSVB0c5YSyNlhhEZDgDTMY2X2NhZ4aqh5xI2C8L7QitsvXZHWmtUnV/P8zuc5Wn6UweGD+bXvPJK+yKTi88/B4SBw1izCf3wbvsOHu/TcNXV2dp4sZcuxElKPFrMzq4y6egcmBcMSQpjaL4LJfSMYlRTaLotJibZrbVC8BazVWr961vs/BS7TWt/k8pK6gARFD9MwtiNnu/Ox05iaxFZtbPcOMrroNq15BCd06y66doedT45+wou7XiSnKodRUaP4TdKtxH2xk9L/9w6Oigp8R44k7Me3EThzJsrs+jaGWpudnSfL2HzkFBsOn2JXdjl2h8bPy8z4XmFM7RfJpQMi6R3h/73uvcI9WhsUUcAHgBXY4Xx7NOANLNBaF7RDWdtMgkLgsEPRAWetw1nzKNjTODDQP9IIjLiRxiN+FAR0v6VLbXYbqw6t4uWMlzlVc4rLky7nlwPvIvjrbZQsW4YtOxvPpCTCf3wbwddei8mn/cZRlNfY2HK0mA2HTvHdoaLTPasSw3y5tH8kMwZGMbF3hDSMu1Fbx1HMABomzt+jtV7j4vK5lASFaFa91ZgxtyE8cndC0X7A+W8gKN4ZHCOM59iR4B/u1iK7isVmYdneZby++3Wsdis39L+Bnw65E+8N6RQvXUptZibmsDBCb/khYT/8Iebg4HYv08liC+sOFbHuQBGbjpzCUmfH28PEpD7hzBgYxfSBUSSEdsq10botGUchRHOsVUZjee5OIzzy0qH4cOP24CSIG95Y84gd0aXX7iiuKebFXS+y6uAqvMxe3DbkNhYNWgTpeyheupTqdesx+fkR8oMfEHbrrXhGd0wty1pvJ/VoCWv2F7JmfyEnS4zaxsCYQGZdEsOVQ2MYEB0ot6jamQSFEBeqttxYajYv3XjO3Qmlxxq3hyQ1hkbciC4ZHsfLj/Pczuf4+sTXRPpGcu/Ie5nfZz62Q4cpfvX/qPjsM5TZTPCCBYT/5A68kpM7rGxaa44UVfPt/kK+3ldA2vEStIZeEf7MviSGuUNiGJYQLKHRDrp0UCil/IH1wONa60/Ot78EhXC5mjLI22WERl5DeBxv3B6S3BgaXSg80gvT+eu2v5JRlMGA0AH8fuzvGR87nrqsLIqXLqX8vffR9fUEzZlDxM/uxrtfvw4vY1Glla/25vPF7nw2HSnG7tDEh/gyb1gsVw+P45K4IAkNF2ltY/aXwBfA51rr/a046WvAPKBQaz2kyftzgH8BZow5o54+z3H+BFRjtI9IUIjOoaa0MTwaaiBdMDy01nx5/Ev+ueOf5FTlMCNxBr8d81uSgpKoLyqi5M03Kf3vChwWC4GzZxPxs7vxGTjQLWUts9Tx9d4CPsvM47tDp6h3aHpH+LNgZDzXjownMUzaNNqitUERA8xxPvoDqRjBsVprXXUBJ50GVAHLGoJCKWUGDgJXANlAGsaa3GZg8VmHuB0YBkQAPsApCQrRqVlKjPBoetuq7ETj9pAkIzBihzcGSCdZOdBqt7J873JeyXiFekc9twy+hbuG3kWAVwD1paWULFtG6fL/4KiqIuDymUT87Gf4XnLJ+Q/cTkqr6/hiTz4fpuew5WgJAON6hXH9qHjmDo2VyQxbwRVLoZqA8cBcjGk8aoCvtNbPnOdzKcAnTYJiIvCE1nq28/VDAFrrs0Oi4fN/wZgyZLDznNdqrR3N7HcXxip8JCUljT5x4sTZuwjhHmeHR96uM9s8guKdwTHcWL8jdjgExbltnEeRpYh/7fgXHx75kHCfcH456pdc0+cazCYz9vJySpb/h5Jly3BUVBBw2WVE3HMPvkPcFxgA2aUWPkzPZdWObI4WVePtYWLWJTH8YGwik/qEy62pC+TyNgqlVAQwW2v91nn2S+HMoLgBmKO1/onz9Y+A8Q1Tg7RwnNuQGoXoLmrKjN5WeRmNIXLqEKe76vqFnxkcscONpWg7cIT5nlN7eHrr06QXpTM4fDAPj3+Y4ZHGaG57ZSWl//kPxW+8iaO8nIAZM4i85xf4DB7cYeVrjtaaXdnlvLcjm4925VJmsdE7wp+bxydx/agEQv173vQuF8NtjdnNBMX/YARM06AYp7W+11XnlKAQXZK1yhgUmLcL8ncZz4X7GidF9Ao0pieJHeYMkGEQMaBd57bSWvP5sc/5+7a/U1hTyIK+C/j1qF8T7muML7FXVlKyfDklb7yJo6KCwFmziLz3Hrc0ep+t1mbn8915/GfLSbafKMXLw8S8YbH8cHwyo5JCpJbRjM4UFBd166k1JChEt1FvNcIi31nzyM80Bg02TE9i9oLIgY3BETMMoi9x+ay61bZqXs54meV7luPr4csvRv6ChQMW4mHyAJyB8cablLzxBg6LhaB584j8xc/xSklxaTlaa19eBW+lnuD9HTlU19kZEh/EbZN6MW9YLD6eMhK8QWcKCg+MxuyZQA5GY/bNWus9rjqnBIXo1hx2YwbdvF2Nt6/yM8BS3LhPWG+j9hEz1AiPmGEQGNPmdo+j5UdZnLqYLXlb6B/an4fHP8zo6NGnt9eXllLy2muULP8P2mYj+NoFRP7sZ3jGx7fpvK5SZa3ng505vLnpOIcKqwj39+KWCcksmphMeIC3u4vndu3RRvFjrfXr59lnBXAZRq+lAoxxEEuVUlcC/8To6fSa1vovrSrEOUhQiB5Ha6jMNwIjP8OoeeRlnNlo7hfhrHU0CY/wPhe9kmDDDLXPpD1DXnUe8/vM577R952+HQVQX1TEqVdfpWzF2wCE3nwz4Xf/FI/QUJd83bbSWrPpSDGvbTjG6v2FeHuYuH50Aj+Z0ovekUGrXMIAABqqSURBVD13Wd72CIqTWuukNpesHUhQCOFUW2G0ezQESF6Gs93DOTmih69xq6ppu0fUJeB5/skBLTYLr2a+yht73sDXw5dfjfwVN/S/AXOT4LHl5VG0ZAnl772Pyc+P8J/cQdiiRZj8Os94h8OFVSzdcJRVO3Kw2R1cMSiau6b1ZnRyaI9rx2jtOIqMc20C+mutO2VdTYJCiBbU18GpA421jvxM42F1LkOrzMaCUA01j4YQ8Q1p9nBHy4/yVOpTpOalMjRiKH+Y8AcGhQ86Yx/r4cMUPvtPqlavxiMykoh77iHk+utQHh7t/W0vWFGllWWbj7N8ywnKLDbGpoTy68v796juta0NigJgNlB69iZgk9Y6zqWldBEJCiEuktbGqPL8zDPbPSrzGvcJSXZ21R3WOGjQOTW71prPjn3GM2nPUGYt4+aBN/OLEb8gwOvM2ziWHTso/OvfqNm5E69evYj67X0EzJzZqX4RW+rqeScti5fWHSW/opYxyUZgTO7b/QOjtUGxFGNt7A3NbPuv1vpm1xbTNSQohHCRqiJnV92G8R5nDRYMjG0c5xE7nPLw3jx3+F3ePbiSSN9IHhj3AFckX3HGL1itNVVr1lD4939Qd/QovmNGE/3737t8xb22qrXZeXdbFku+PdJjAqNLTwp4sSQohGhHteXO21ZNAuTUAWiYMMEvnIyYAfzZo5L9tnKmRI3mD1P+QlzgmT2fdH09ZStXUvT8v7EXFxN01VVE3febTtNDqoG13s4727J54dvD5JXXMjYllPvnDGRsSuebt6utJCiEEO2nzuIcLOicHDFvF/WF+/hvgC//Dg0GFPeqMG6OnYo5bqRRAwnrAyYT9qpqipf+HyWvGZ0ow267jfA778Qc4O/e73SWhsB4fvUhCiutzBgYxf1zBjAwxrVjVtyptbeedmitR53nwOfdp6NJUAjRCdRboXAvucfX8+Tx9/nOVswQax1PFBUzwGYDrwCjkTzOaO+wmRIofPMDKj75FHNEBJG/+iUh113XLut5t0VNnZ03Nh3nxbWHqbLWc+OYRO6b1Z+owPZbRrajtDYoaoBDLR0XCO5s3WQlKIToXLTWfHH8C55OXUxFXQW3RYzlp44AfPJ3G7ex6muMHT39qNH9Kdhoo+ZYKd69k4j+wxP4T5zo3i/QjDJLHc+vOcyyzcfxMpv42WV9+MnU3l16pHdrg+JClrWya62z21I4V5OgEKJzKqst42/b/saHRz4kOSiZJyY+wZjIEXDq4Bkz7Oq8TCqP2SlMD8JW7UHgAF+ib5yM5yWTjBpIRP+LHijYXo6dqmbxZ/v4am8BccE+3D9nIPOHx2Eydb0Gb2mjEEJ0GptzN/PHzX8kpyqHhQMW8utRvz6zK63DDsVHcJxIo/g/Kyn+xmgsjxhcSdjAKkw+/kY33bhRxrK08aOMaUvc2Btpy9Finvx0L7tzKhiRGMKTC4YwJD7YbeVpDQkKIUSnYrFZWJK+hP/s+w+RvpE8PvFxpiZMbXbfuuwcCv/3aSq//gbP6FCi5/UjMCzP6HXVcNvKJ9gIjbhRRnDEjerwdT0cDs37O3NY/Pl+SqqtLJqYwn2z+neZRZQkKIQQnVJGUQaPbXyMI+VHmN9nPvePvZ9g7+b/Eq/auJGCvzxF3dGjBEyfTvRDD+DlVWGsJJizHXJ2QOHexqnZA2IgfjQkjDae40YagdLOymts/OOrAyzfcoIwf28evWoQ14yI6/TjL9oUFEqpwVrrvWe9d5nWeq3riug6EhRCdC119jpezniZpZlLCfEO4Q8T/sDM5JnN7qttNkqWLaNoyQvgcBBx992E3/5jlJdzXQ5bjTEVe+4OIzhytkNxkz45Ef2N0Gh4RA9ptzU9MrPLefSDTHZllzOhdxh/vmYI/aID2+VcrtDWoNgNLAeewVi7+hlgjNa683VFQIJCiK5qX/E+Htv0GPtL9jMnZQ4PjX+IMJ/mB7bZ8vIoWPw0lV99hVefPsT+6Y/4jR7d7L7UlBq1juztkLPNCI/qImOb2dsY1xE/GhLGGI+QZJfdsrI7NG+nneSZLw5Qba3nrmm9uXdGP3y9OkdjfFNtDQp/4H+B0UAg8Bbwv82tXd0ZSFAI0XXZHDZey3yNlzJeItAzkIcnPMyclDnn3L9q3Try//gnbLm5hPzPDUT97neYg89ze0lrKM+CbGdo5Gw31jNvaO/wi2gMjYSxRntHGxeDOlVlZfFn+1m1I5vEMF/+dM0Qpg+IatMxXa2tQeEF/AW4AggAHtVav+3yUrqIBIUQXd/h0sM8uvFR9hTv4YrkK3h0wqPnrF04LBaKliyh5I03MYeEEP3QQwRddeXFtQnYbUb7RkN4ZG8zpiYBQBkrCTYER8JYY4bdVnTR3XykmEc/yORIUTVXDYvl8XmDiQrqHIP12hoUu4APgT8D4cDLgE1rfYOrC+oKEhRCdA/1jnre2PMGS9KXEOgZyCMTHmF2yuxz7l+7bx95jz9BbUYG/pMnE/PHJ/BKSGh9AWrKGmsc2WnGo8Y5mbZXoNG7KnEcJIwzQsTvwuZ/qqt38PK6Izz/7WG8zSbunzuQH45LcvvYi7YGxRit9baz3vuR1nq5C8voMhIUQnQvh0oP8ejGR9lbvJfZKbN5ePzD56xdaLud0rffpugfz6K1Juq++wi9+SaUydT2gmhtLEObnQZZW43ngj2g7cb28H5GcCSOg8QJzoGB5z7vsVPVPPJ+JpuOFDMyKYTF1w1169xRbQ2KZqfo0FqfdEHZXE6CQojux+aw8fru13lx14sEeQXxhwl/4PLky8+9f14eeY89TvV33+E7ZjRxTz6JV0qK6wtmrXI2lG+FrDTjuWH9cp8QSBwPSeON4IgfBZ6+Z3xca2PsxZOf7qOixsYdU3tx74x+BHh3/KJObQ2KTEBjzO3kA/QCDmitL3F1QV1BgkKI7utg6UEe3fAo+0r2MbfXXB4e9zAhPs2vvqe1pvz9DyhYvBhtsxH5q18RtuhH7TvRYEOt4+QWOLkZslKNKUoATJ7GFCSJ4yFpIiRNAP8IAEqq61j82T7e3Z5NZKA3988ewPWjEjr0dpRLB9wppUYBP9Va/9QVhXM1CQohujebw8bSzKW8vOtlgr2DeXzi40xPmn7u/QsKyX/iCaq+/Rbf4cOJXfwU3r17d1yBq4uNwMjaAidTjTEe9jpjW3hfIzASJ0DSRHZUh/GnT/aRnlXGsIRgHps3mDEdtPaFy0dmd8bpxRtIUAjRM+wv2c8jGx7hYOlB5veZzwPjHiDIq/l7/FprKj75lIInn8RRU0Pkr39N2K2L3DONua3WmACxaa2joZHcLwKdPIkMjyH8dV8EG6uimDc8gQfnDiQ+xLfl47ZRW2893dfkpQkYBYRrrc/d/cCNJCiE6DlsdhsvZbzE0sylhPuG86dJf2Jy/ORz7l9fVETe409QtWYNvqNGEbf4KbySL2Si7HbkcBi3p7K2wInNcGKjMc4DqPEIYkPdANL0IMIGTeOqK2aRGNk+05C0NSgeb/KyHjgOrNJa17qshC4kQSFEz7P71G4e2fAIR8uPckP/G/jdmN/h79n8Knlaayo++oj8vzyFttmIfuB+QhYu7FxzMZWeMALj+Ebqj32HR/kJACzamxz/wfj3nUjs4KmoxHGn2znaSiYFFEJ0e1a7lSU7l/DGnjeIC4jjT5P+xLjYcefc35afT97Dj1C9aRP+U6cS++STeEZ3rtHSp1XkUrp/PYe2fYN/wTYGcAIPZUyOUR+cgkfSOGMg4KCrISi2Vado7cJFH2P0dmqW1np+q0rTziQohOjZ0gvTeWTDI5ysPMnCAQu5b/R9+Hn6NbuvdjgoXbGCwr/+DZO3NzFPPE7Q3LkdXOKLU22t56v0Y6RvXYt3/nZGmg4zwfMIoY4SrIs+x7v3pFYdt7VBcWlLB9Var2tVadqZBIUQoqa+hud2PMdb+94iLiCOP076I+Njx59zf+vRY+Q++CC1GRkEXXUVMY/94fxzRnUCWSUWVm7PZtX2LOxlOTxz60ymDopv1bFaGxRJnXVQXUskKIQQDXYU7OCxTY9xouLE+WsX9fWceuUVTr3wIh6RkcQ/87/4jR3bwSVuHYdDs/V4CWNTwjC3cuzFuYLifGPaP2hygFWtOrMQQrjRqOhRvHv1u/xo8I9458A7XPfRdWzO3dzsvsrDg8if/5yUFf9FeXlyYtGtFP7zn2ibrYNLffFMJsWE3uGtDokWj32e7U3P2IGjU4QQwnV8PXy5f+z9vDn3TTxMHtz19V08tvExKuoqmt9/6FB6v/cewdddS/FLL3P8lluoO9nlbq64zPmCQp/jZyGE6HJGRo1k5dUruX3I7Xx05CMWfLCAb0580+y+Jn9/4v7yF+L/+Sx1x45zbMG1lH/4Id2xp+j5nK+Nwg5UY9QsfAFLwyZAa63dN81hC6SNQghxPnuK9/D4xsc5UHqAGYkzeGj8Q8T4xzS7ry03l5z776dm23aC5s0j5onHMQcEdHCJ25+MoxBCiLPYHDaW713OC+kv4GHy4FejfsWN/W/E3MyCRNpu59TLL3Pq30vwTEgg/h//wHdIp5wXtdVa25gthBDdlqfJk9uH3M77899nWMQwnkp9ikVfLOJg6cHv7avMZiJ//nOSl72Jrqvj+E03UbJsWY+4FSVBIYTo8RKDEnn5ipd5aspTZFVksfDjhTy7/VksNsv39vUbM4Ze779HwJQpFDy1mJxf/hJ7RfON4t2FBIUQQgBKKa7uczUfLviQq3pfxWu7X+Pq96/m06Offq/W4BEaSsILS4h64AEqv13Lseuup2b3HjeVvP11+qBQSpmUUn9RSj2vlLrV3eURQnRvoT6hPDnlSZbPXU6EXwQPfvcgt31xG/tL9p+xn1KK8B/fRvLyZWi7nRM33UTJW291y1tR7RoUSqnXlFKFSqndZ70/Ryl1QCl1WCn14HkOcw0QD9iA7PYqqxBCNDUiagQrrlrBExOf4Fj5MRZ+spAntzxJWW3ZGfv5jRxJr/dW4TdpIgV/fpKc++7DXlXlplK3j3bt9aSUmgZUAcu01kOc75mBg8AVGL/404CbADOw+KxD3O58lGqtX1ZKrdRa33C+80qvJyGEK5Vby3kh/QXePvA2/p7+3DX0Lm4adBPeZu/T+2iHg+KlSyn657/wSkgg/vnn8Onf342lvnhu6fWktV4PlJz19jjgsNb6qNa6DngbuEZrnam1nnfWoxAjTJxLP2Fvz/IKIURzgr2DeWj8Q6y8eiXDI4fz9+1/5+r3r+ajIx9hdxi/lpTJRMSdd5L85hvYLdUcX/gDyj/51M0ldw13tFHEA1lNXmc73zuX94DZSqnngfXn2kkpdZdSaptSaltRUZFrSiqEEE30C+3Hi5e/yKuzXiXEO4RHNjzCgg8X8Pmxz3FoY20IvzFj6LVqFT6DB5P7u98ZiyPV1bm55G3jjqBobsaqlta8sGit79Ba36u1XtLCfq9orcdorcdERka6pKBCCNGcCbETeHve2zx72bN4mDy4f/39XP/R9Xx1/Csc2oFnVBTJb7xO6KIfUbp8OSdu+zG2gkJ3F7vV3BEU2UBik9cJQK4byiGEEK1mUiYuT76cVfNX8cy0Z7BrO79d91tu/PhGvjnxDQ6ziZiHHybu73+jdt8+jl1/PdVbt7q72K3ijqBIA/oppXoppbyAHwAfuaEcQgjRZiZlYm6vubw//32emvIUNfU1/Gbtb5j/wXxW7F+B56zp9Hrn/2EOCODk7XdQumKFu4t80dq7e+wKYDMwQCmVrZS6Q2tdD9wDfAnsA97RWnffkSpCiB7BbDKfHrD3t0v/Roh3CE+lPsWsVbN4ufJzAt58Af/Jk8j/45/Ie+KJLrHGRQOZFFAIIdqB1pr0onSW7VnG6pOrMZvMXJU8l1vWK/R/3sNv3DgSnvsX5pAQdxf1NJk9Vggh3CSrIovl+5bzweEPqKmv4facPsxecQTv+AQSX3kZr6QkdxcRkKAQQgi3K7eW8+7Bd3lr31uEHyzioffA28OHpBdfJGi0+9fmlmnGhRDCzYK9g/nJ0J/w5fVf8sOFf+aFnydRaK7m+K2L+PiVB6mq65xTf0iNQggh3MShHWzc+wU19z9B4pFKVs7wwf/2W7htyI8J8wnr8PJIjUIIIToZkzIx9ZIrufz9DegrpnDDmlq8//oac9+dzbPbn6W0tvT8B+kAEhRCCOFmJi8vBj33CuE/u5sZuxw8vDaMNzJfY86qOTy34znKreXuLZ9bzy6EEAIw1reI+tWviPjFL+i/8STvHJrN1PgpvJr5KnNWzWFJ+hK3BYYEhRBCdCIR9/yCsDtux7HqU36fGs3Kq1cyIXYCL+16iVkrZ/GPbf+gyNKxE596dOjZhBBCtEgpRdTvfoeutVLy+utE+Prw7C+f5WDpQZZmLuXNvW/y1r63mNdnHj8a9CP6hvZt/zJJrychhOh8tMNB/uOPU/buSiJ/8xsifnoXYAzee3Pvm3x4+ENq7bVMjpvMosGLmBg3EaWam5z7wsmAOyGE6GK03U7ugw9R8fHHRD/0IGG33np6W1ltGe8efJf/7v8vp2pO0TekL4sGL+LK3leesfLexZDusUII0cUos5m4xU8ROGsWBYufpvzjT05vC/EJ4c5hd/Ll9V/y5OQnMSkTj216jK15rp/KXGoUQgjRyem6Ok7+5E5qdu4k6fXX8BvzvT/60VqzvWA7o6JHYVKtqwNIjUIIIboo5eVFwvPP4ZmQQPYv7sF67Nj391GKMTFjWh0SLZGgEEKILsAcHEziKy+D2UzWT++mvrTjRm1LUAghRBfhlZhIwpJ/U5+XR+7v70fb7R1yXgkKIYToQvxGjiT6kUeo3rCBU0te6JBzSlAIIUQXE7LwRoKvu45TL7xA5bfftvv5JCiEEKKLUUoR89gf8Bk8mNwHHqTu5Ml2PZ8EhRBCdEEmHx/in3sOpRTZ9/4SR01N+52r3Y4shBCiXXklxBP3t79iPXiQvMcfp73GxUlQCCFEFxYwdSoR995DxUcfU/rf/7bLOSQohBCii4u4+24CLruMgsVPY9m50+XHl6AQQoguTplMxD3zvwRffTVeSUkuP76sRyGEEN2AOSiIuMVPtcuxpUYhhBCiRRIUQgghWiRBIYQQokUSFEIIIVokQSGEEKJF3XKFO6VUOXCohV2CgfJzbIsATrm8UO2vpe/Umc/V2mO15nMX+pkL2a+lfeT66jznasuxLvazHXV9tbS9rddXstY68nvvaq273QN4pbXbgW3uLn97fOfOeq7WHqs1n7vQz1zIfue5huT66iTnasuxLvazHXV9tbS9va6v7nrr6eM2bu+KOvI7ufJcrT1Waz53oZ+5kP1a2keur85zrrYc62I/21HX18WcyyW65a2ntlBKbdPNLC4uhCvI9SXaU3tdX921RtEWr7i7AKJbk+tLtKd2ub6kRiGEEKJFUqMQQgjRIgkKIYQQLZKgEEII0SIJCiGEEC2SoLgISqneSqmlSqmV7i6L6B6UUv5KqTeVUq8qpX7o7vKI7sVVv7N6TFAopV5TShUqpXaf9f4cpdQBpdRhpdSDLR1Da31Ua31H+5ZUdHUXea1dB6zUWt8JzO/wwoou52KuL1f9zuoxQQG8Acxp+oZSygwsAeYCg4GblFKDlVJDlVKfnPWI6vgiiy7qDS7wWgMSgCznbvYOLKPout7gwq8vl+gxS6FqrdcrpVLOensccFhrfRRAKfU2cI3WejEwr2NLKLqLi7nWgGyMsEinZ/3hJlrpIq+vva44Z0+/MONp/GsOjH+08efaWSkVrpR6CRiplHqovQsnupVzXWvvAdcrpV6ke84RJTpGs9eXq35n9ZgaxTmoZt4751B1rXUxcHf7FUd0Y81ea1rrauDHHV0Y0e2c6/pyye+snl6jyAYSm7xOAHLdVBbRvcm1JtpTu15fPT0o0oB+SqleSikv4AfAR24uk+ie5FoT7aldr68eExRKqRXAZmCAUipbKXWH1roeuAf4EtgHvKO13uPOcoquT6410Z7ccX3J7LFCCCFa1GNqFEIIIVpHgkIIIUSLJCiEEEK0SIJCCCFEiyQohBBCtEiCQgghRIskKESPpJSyK6XSmzxanGK+ozQpV5xSKtX580mlVFGTsqac9ZnLlFKbz3rPQylVoJSKVUr9VSmVr5T6XUd+F9F99PS5nkTPVaO1HuHKAyqlPJwDn9qiabnGO497GzBGa33POT6zHkhQSqVorY8737sc2K21zgN+r5SqbmO5RA8mNQohmlBKHVdK/VEptUMplamUGuh839+5YEyaUmqnUuoa5/u3KaXeVUp9DHyllPJTSr2jlMpQSv0/Z61gjFLqDqXUs03Oc6dS6h+tKF8fpdQXSqntSqnvlFIDtdYO4F1gYZNdfwCsaNN/DCGcJChET+V71q2npr9kT2mtRwEvAg23ax4B1mitxwLTgb8qpfyd2yYCt2qtZwA/B0q11sOAPwOjnfu8DcxXSnk6X/8YeL0V5X4FuFdrPdpZthec76/ACAeUUt7AlcCqVhxfiO+RW0+ip2rp1tN7zuftGEuVAszC+EXfEBw+QJLz56+11iXOn6cA/wLQWu9WSmU4f65WSq0B5iml9gGeWuvMiymwUioAmAS8q9TpWaW9ncdPU0oFKKUGAIOALVrr0os5vhDnIkEhxPdZnc92Gv+NKOB6rfWBpjsqpcYDTe//N7cuQIP/Ax4G9tO62oQJKGsh4N7GqFUMQm47CReSW09CXJgvgXuV8095pdTIc+y3AbjRuc9gYGjDBq11KsaaATfTil/kWusK4JhS6n+cx1dKqeFNdlkB3ALMQKYwFy4kQSF6qrPbKJ4+z/5/BjyBDKXUbufr5rwARDpvOT0AZADlTba/A2xsw22hHwJ3KKV2AXsw1kUGQGu9F7BgtKVILyfhMjLNuBAupJQyY7Q/1Cql+gCrgf5a6zrn9k+AZ7XWq8/x+SqtdUA7lOsJoEpr/TdXH1t0f1KjEMK1/IANzr/43wd+prWuU0qFKKUOYjSiNxsSThUNA+5cVSCl1F8xbklJLUO0itQohBBCtEhqFEIIIVokQSGEEKJFEhRCCCFaJEEhhBCiRRIUQgghWvT/AaKPmlUZbLIHAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 1, figsize=(6, 16))\n", "mDMs = [0.01, 0.1, 1, 10] * u.TeV\n", "\n", "for mDM, ax in zip(mDMs, axes):\n", " fluxes.mDM = mDM\n", " ax.set_title(rf\"m$_{{\\mathrm{{DM}}}}$ = {mDM}\")\n", " ax.set_yscale(\"log\")\n", " ax.set_ylabel(\"dN/dE\")\n", "\n", " for channel in [\"tau\", \"mu\", \"b\", \"Z\"]:\n", " fluxes.channel = channel\n", " fluxes.table_model.plot(\n", " energy_range=[mDM / 100, mDM],\n", " ax=ax,\n", " label=channel,\n", " flux_unit=\"1/GeV\",\n", " )\n", "\n", "axes[0].legend()\n", "plt.subplots_adjust(hspace=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux maps\n", "\n", "Finally flux maps can be produced like this:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "channel = \"Z\"\n", "massDM = 10 * u.TeV\n", "diff_flux = DarkMatterAnnihilationSpectralModel(mass=massDM, channel=channel)\n", "int_flux = (\n", " jfact * diff_flux.integral(energy_min=0.1 * u.TeV, energy_max=10 * u.TeV)\n", ").to(\"cm-2 s-1\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "flux_map = WcsNDMap(geom=geom, data=int_flux.value, unit=\"cm-2 s-1\")\n", "\n", "fig, ax, im = flux_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\n", " f\"Flux [{int_flux.unit}]\\n m$_{{DM}}$={fluxes.mDM.to('TeV')}, channel={fluxes.channel}\"\n", ");" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.0" }, "nbsphinx": { "orphan": true }, "toc": { "base_numbering": 1.0, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }