{ "cells": [ { "cell_type": "markdown", "id": "58ff55b9-7d22-47fe-8d5b-1d29d2194498", "metadata": {}, "source": [ "# Diffusion of 1 chemical in 2D\n", "\n", "## An initial concentration pulse of a single chemical (near the left edge of the system, and halfway vertically), diffusing towards equilibrium\n", "\n", "The system starts out with a \"concentration pulse\" in just one bin - i.e. that bin is initially the only one with a non-zero concentration of the only chemical species.\n", "Then the system is left undisturbed, and followed to equilibrium.\n", "\n", "(Note: this is the 2D counterpart of the 1D experiment by the same name)" ] }, { "cell_type": "markdown", "id": "2f8f4779-dfe5-468e-8109-1669b4a5e3fa", "metadata": {}, "source": [ "### TAGS : \"diffusion 2D\", \"quick-start\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "b2d81d16-f539-4e31-ab7b-e3f64a0f8e0d", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"Jan. 22, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc2\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "88b7ee23-fc65-4cf8-b613-af1301073515", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "f6b53bd5", "metadata": {}, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import BioSim2D, ChemData, check_version" ] }, { "cell_type": "code", "execution_count": 4, "id": "008a6f6e-0bae-4d70-b486-43dda6214bf4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "428cde1a-90d0-46ee-a52e-aaf043c1923a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 5, "id": "4f7885eb-2bd2-4d28-bca9-8e4685f4fd9d", "metadata": {}, "outputs": [], "source": [ "# Prepare the initial system, with a single non-zero bin, near the left edge of the system, positioned halfway vertically\n", "chem_data = ChemData(names=\"A\", diffusion_rates=0.02)\n", "\n", "bio = BioSim2D(x_bins=8, y_bins=5, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 6, "id": "1df77fcd-69c2-4e63-8464-e469f72a5c26", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "Species `A`:\n", " 0 1 2 3 4 5 6 7\n", "4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n" ] } ], "source": [ "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": null, "id": "1f4571d4-18ba-4ee9-9d65-37642bf51a78", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "670d0f44", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "942396a5-48d4-408a-a840-f5828f0ab8ae", "metadata": {}, "source": [ "## Request history-keeping for some bins" ] }, { "cell_type": "code", "execution_count": 7, "id": "8fb2007a-c5dc-487d-b4e0-8341cfbe898f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "History enabled for bins [(1, 2), (7, 4)] and chemicals None (None means 'all')\n" ] } ], "source": [ "bio.enable_history(bins=[(1,2), (7,4)], frequency=3) # Request to save the concentration history at those bins \n", " # (the one with the initial injection, and one far away in a corner)" ] }, { "cell_type": "code", "execution_count": null, "id": "050808a5-497e-4016-a4e1-1fce2f32a213", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1fce66ff-3159-4c1e-ac92-fcf4fd829645", "metadata": {}, "source": [ "## Apply the initial concentration pulse" ] }, { "cell_type": "code", "execution_count": 8, "id": "eed41906-989b-473e-945f-6caeccab4385", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "Species `A`:\n", " 0 1 2 3 4 5 6 7\n", "4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "2 0.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", "0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n" ] } ], "source": [ "bio.set_bin_conc(bin_address = (1,2), chem_label=\"A\", conc=10.)\n", "\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 9, "id": "926d5808-2048-424a-94b2-92d2169726bb", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.heatmap_single_chem(chem_label=\"A\", title_prefix=\"Diffusion\")" ] }, { "cell_type": "code", "execution_count": null, "id": "bb1d842b-8c01-472d-8175-29cc8154691d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b5a37d34-e356-4aa5-859b-f270c471201f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1206f461-ee37-4d82-89d2-2599e8115a5f", "metadata": {}, "source": [ "# Initial Diffusion Step" ] }, { "cell_type": "code", "execution_count": 11, "id": "2345e05a-8c43-466a-b0ac-c562b68c4113", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " {'steps': 100}\n", "SYSTEM STATE at Time t = 10:\n", "Species `A`:\n", " 0 1 2 3 4 5 6 7\n", "4 0.021467 0.101184 0.019573 0.001899 0.000122 0.000006 2.203662e-07 7.055683e-09\n", "3 0.205745 0.959044 0.187423 0.018382 0.001194 0.000058 2.203531e-06 7.136569e-08\n", "2 1.052394 4.856162 0.957855 0.094854 0.006221 0.000303 1.171495e-05 3.834040e-07\n", "1 0.205745 0.959044 0.187423 0.018382 0.001194 0.000058 2.203531e-06 7.136569e-08\n", "0 0.021467 0.101184 0.019573 0.001899 0.000122 0.000006 2.203662e-07 7.055683e-09\n" ] } ], "source": [ "delta_time = 10.\n", "\n", "status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n", "print(\"\\n\", status)\n", "\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 12, "id": "31b6dad4", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "title": { "text": "Conc." } }, "colorscale": [ [ 0, "rgb(254, 254, 253)" ], [ 0.09090909090909091, "rgb(224, 224, 223)" ], [ 0.18181818181818182, "rgb(197, 197, 195)" ], [ 0.2727272727272727, "rgb(171, 171, 170)" ], [ 0.36363636363636365, "rgb(146, 146, 145)" ], [ 0.45454545454545453, "rgb(124, 123, 122)" ], [ 0.5454545454545454, "rgb(102, 101, 101)" ], [ 0.6363636363636364, "rgb(81, 80, 80)" ], [ 0.7272727272727273, "rgb(59, 59, 59)" ], [ 0.8181818181818182, "rgb(38, 38, 38)" ], [ 0.9090909090909091, "rgb(16, 16, 16)" ], [ 1, "rgb(0, 0, 0)" ] ], "hovertemplate": "Conc.: %{z}
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.heatmap_single_chem(chem_label=\"A\", title_prefix=\"Diffusion\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "78637d58-8472-41e9-9e08-b8418cafd317", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# MASS-CONSERVATION CHECK. Verify that that sum of all the entries in the above matrix is still the initial 10.\n", "bio.check_mass_conservation(chem_label=\"A\", expected=10.)" ] }, { "cell_type": "code", "execution_count": null, "id": "deb91a43-d3a8-43bc-bb72-7875e64df544", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "fbf9545e-9730-41e4-937e-814504f1aa0e", "metadata": {}, "source": [ "## This is still an early stage in the diffusion process; let's advance it more... (Visualization from results shown at selected times)" ] }, { "cell_type": "code", "execution_count": 14, "id": "570a5152-42aa-4ea3-a377-134296f2dc09", "metadata": { "lines_to_next_cell": 2, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 20:\n", "Species `A`:\n", " 0 1 2 3 4 5 6 7\n", "4 0.099450 0.227366 0.083545 0.016125 0.002093 0.000204 0.000016 0.000001\n", "3 0.454281 1.033156 0.381327 0.073972 0.009652 0.000945 0.000074 0.000005\n", "2 1.220265 2.763366 1.023643 0.199392 0.026127 0.002569 0.000202 0.000014\n", "1 0.454281 1.033156 0.381327 0.073972 0.009652 0.000945 0.000074 0.000005\n", "0 0.099450 0.227366 0.083545 0.016125 0.002093 0.000204 0.000016 0.000001\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "title": { "text": "Conc." } }, "colorscale": [ [ 0, "rgb(254, 254, 253)" ], [ 0.09090909090909091, "rgb(224, 224, 223)" ], [ 0.18181818181818182, "rgb(197, 197, 195)" ], [ 0.2727272727272727, "rgb(171, 171, 170)" ], [ 0.36363636363636365, "rgb(146, 146, 145)" ], [ 0.45454545454545453, "rgb(124, 123, 122)" ], [ 0.5454545454545454, "rgb(102, 101, 101)" ], [ 0.6363636363636364, "rgb(81, 80, 80)" ], [ 0.7272727272727273, "rgb(59, 59, 59)" ], [ 0.8181818181818182, "rgb(38, 38, 38)" ], [ 0.9090909090909091, "rgb(16, 16, 16)" ], [ 1, "rgb(0, 0, 0)" ] ], "hovertemplate": "Conc.: %{z}
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nn732SGRl7ewKK5GVgQCVLkdWKm28QNnISgGIClMgKxU2XahkZKUQSIVpEAcKmy5UMrMjBFJZGuZGWcMFy41FVr711gbBqvxTbb55J2SlP67miURWNk+vYtopsjKmbjTXXpCVzdWvWHaLrIylE823D2Rl8/Uslh0jDmLpRPPtg9lpvp7FsGPmJoYuNOceYpGVMdDjysoYuiC0B2SlEEhlaZCVyhouWC6yUhCmolTISkXNFi4VWSkMVFE6xIGiZguXyuwIA1WSjrlR0ug6lIms7AiVe1bWYcgakRJZ2QjqzX9OZGXz97BRFSArG0W+uc+LrGzu/jVy98jKRtJv7nMjDpq7f43cPbPTSPrNe27mpnl71+idIys7doCngTd6IoXOj6wUAqksDbJSWcMFy0VWCsJUlApZqajZwqUiK4WBKkqHOFDUbOFSmR1hoErSMTdKGl2HMpGVm0IdcdYV5rePPlE4sM8eA830SaPrQL56Sh6wE4gcWRkIUOlyZKXSxguUjawUgKgwBbJSYdOFSkZWCoFUmAZxoLDpQiUzO0IglaVhbpQ1XLBcZKUgTMFUyMpAmMjKQIBKlyMrlTZeoGxkpQBEhSmQlQqbLlQyslIIpMI0iAOFTRcqmdkRAqksDXOjrOGC5SIrBWEKpkJWBsJEVgYCVLocWam08QJlIysFICpMgaxU2HShkpGVQiAVpkEcKGy6UMnMjhBIZWmYG2UNFywXWSkIUzAVsjIQJrIyEKDS5chKpY0XKBtZKQBRYQpkpcKmC5WMrBQCqTAN4kBh04VKZnaEQCpLw9woa7hguchKQZiCqZCVgTCRlYEAlS5HViptvEDZyEoBiApTICsVNl2oZGSlEEiFaRAHCpsuVDKzIwRSWRrmRlnDBctFVgrCFEyFrAyEaWUlr00JbLd1Z9OtSyfz0qvrzdo3NoAIAt4E7Nx03qJ9dnhBIAsB+76z/s0NvOdkgUZsgUDv7bc0q15+w2x4622IQMCbQKfNNzM9t+1ilr/4uvcaAiFgCfC7DnNQKwF+16mVHOv4Xaf6DOzYoytDEhkBZGVkDWE7EIAABCAAAQhAAAIQgAAEIAABCEAAAhDQSgBZqbXz1A0BCEAAAhCAAAQgAAEIQAACEIAABCAAgcgIICsjawjbgQAEIAABCEAAAhCAAAQgAAEIQAACEICAVgLISq2dp24IQAACEIAABCAAAQhAAAIQgAAEIAABCERGAFkZWUNaYTsjzvr/7d3fy01ZHAfg/TcQ5h3KlZpCjTS40CRcvS7UFEqSC5mUG2RMiYuRGoQbJVKjSQqlXHivkCYXgyYKpVxNzYyYxt8ws97a7xzHea1zzj57tc9ez3vFa+219vdZq32cz/51pnj4+Pl0KWtXLS8unjrYhrLUkEhg6t6j4vxPt4qpqycTjWiYcRf44dzPxfXb92fKcNwZ9xlNt/+Xr90pzl26ae2kI2/dSOEz69DxC8XV80eKFcuWtK4+BY1WoPuYU/b+8sGV0Q6kt9YKLF23a6a200f3FpMbVre2VoVVF3jz7n2xceuBnh057lT31UO9AsLKen2z6z2EBn+++XsmoAzB5cKJecWx/Tuzs1DwYAJPX7wuduw7Mb3R4kULhJWD8WXdenLH4Q/WS/j7N5NfF7u3b8raRfFxgfAZ1XlCzWdW3EyL/wXKk2u///FWWGlh9CUQwsonz145kd+XlkadAmXoJKC0LqoKhOPQX2//8f28KqTtaxcQVtZOnNcAISQ48f3umasLQgB15MfLgqe8lkGlal1ZWYnPxv8J+DJoGQwrYO0MK5ffdp2fVeFKJ1dW5rcGhqnYMWYYNdsEgXBByOcL5joRazlUFgifWXdvnC0m5s+p3JcOCNQpIKysUzezvsszfp0Hv16/y4xFuQMKCCsHBNP8I4FwddxXX37hP/TWxsAC4YTbmpVLXW0wsFxeG3R/Tgkr85r/KtV23wbuTpIqmnltG44zYb2EK7nLH4FTXmtgFNW6qnIUivpIJSCsTCWdwTjCygwmOUGJwsoEyC0eovwi6Dk8LZ7kGkoLIWX4Auh5pzXgtqzLXp9RwsqWTXLCcsLJtfDj+e4J0cdwqPI7VucV3P6/M4YT2YBddlVlAybBLvQtIKzsm0rDmICwMibk3/sREFb2o6RNL4HyRReuNLA+hhXofu7ysP3Yrr0C3S/06qzUs+TaO+91VVY+r9sJtrqE29HvbHeqOVHSjvlNVUX4/Ao/3iWRStw4VQWElVUFbf+BgGdWWhBVBYSVVQXz3N4VBnnO+6irFhyMWjSP/gQGecxzHVU65tSh2s4+ex1nHHvaOdd1VOXRbHWo6rNuAWFl3cKZ9e9t4JlNeA3lCitrQG15l26ja/kE11he95vkraUasVvctcCgxZM74tK6jzmekzti4BZ3F75j/frby5mXloaTtLemfvES0xbP+ShLc1XlKDX1lUpAWJlKOqNxwpe9h4+fT1fs+V8ZTXzFUsurCzq72b9ni5ekVHRt++blmeJedXo7b9tnv3p9nZ9XPrOqe+bag7Ay15kfvO7uY862zevdkjk4Y7ZbdD6GwsuZsl0GAxfuMUkDk9mgIQLCyoZMhN0gQIAAAQIECBAgQIAAAQIECBAgkLuAsDL3FaB+AgQIECBAgAABAgQIECBAgAABAg0REFY2ZCLsBgECBAgQIECAAAECBAgQIECAAIHcBYSVua8A9RMgQIAAAQIECBAgQIAAAQIECBBoiICwsiETYTcIECBAgAABAgQIECBAgAABAgQI5C4grMx9BaifAAECBAgQIECAAAECBAgQIECAQEMEhJUNmQi7QYAAAQIECBAgQIAAAQIECBAgQCB3AWFl7itA/QQIECBAgAABAgQIECBAgAABAgQaIiCsbMhE2A0CBAgQIECAAAECBAgQIECAAAECuQsIK3NfAeonQIAAAQIECBAgQIAAAQIECBAg0BABYWVDJsJuECBAgAABAgQIECBAgAABAgQIEMhdQFiZ+wpQPwECBAgQIECAAAECBAgQIECAAIGGCAgrGzIRdoMAAQIECBAgQIAAAQIECBAgQIBA7gLCytxXgPoJECBAgAABAgQIECBAgAABAgQINERAWNmQibAbBAgQIECAAAECBAgQIECAAAECBHIXEFbmvgLUT4AAAQIECBAgQIAAAQIECBAgQKAhAsLKhkyE3SBAgAABAgQIECBAgAABAgQIECCQu4CwMvcVoH4CBAgQIECAAAECBAgQIECAAAECDREQVjZkIuwGAQIECBAgQKBJAt9+d6ZYODGvOLZ/Z5N2y74QIECAAAECBAi0XEBY2fIJVh4BAgQIECBAYBiBWFj59MXrYse+E8XV80eKFcuWDDOEbQgQIECAAAECBAh8JCCstCgIECBAgAABAgQ+EoiFlcgIECBAgAABAgQI1CEgrKxDVZ8ECBAgQIAAgQYITN17VBw6fqHYtnn9B7dzl7/fv2dLsXv7pp57WoaV4R+v374/3WbxogXF1NWT039+8+59sXHrgeLujbPFxPw5Rax9AzjsAgECBAgQIECAwBgICCvHYJLsIgECBAgQIEBgWIHydu3TR/cWkxtWz4SM5d9n6zeEjw8fPy8624XfhZ+Lpw72DCu720/uOFysWbnUcy+HnTzbESBAgAABAgQyFBBWZjjpSiZAgAABAgTyErh87U5x7tLN6asgw9WQn7qispTpdRt4GXyGfsJPrysrO1/IE8Z98uzVdLjphwABAgQIECBAgEA/AsLKfpS0IUCAAAECBAiMuUB5pWT3LeGzldUrrCxv/Q4v1fls/qSqpSsAAAT0SURBVFxh5ZivCbtPgAABAgQIEGiigLCyibNinwgQIECAAAECIxYow8q1q5b3daWjsHLEE6A7AgQIECBAgACBvgSElX0xaUSAAAECBAgQGF+B7tvA+7m68lO3gb98cGXWF+y4DXx814k9J0CAAAECBAg0QUBY2YRZsA8ECBAgQIAAgZoEyjd/l2/t7n7hzmzD9gorl67bNfO8y9neBi6srGkidUuAAAECBAgQyERAWJnJRCuTAAECBAgQyE+gvKKy+83f5e8/9aKd8rbxTrXO9sLK/NaTigkQIECAAAECKQSElSmUjUGAAAECBAgQIECAAAECBAgQIECAQFRAWBkl0oAAAQIECBAgQIAAAQIECBAgQIAAgRQCwsoUysYgQIAAAQIECBAgQIAAAQIECBAgQCAqIKyMEmlAgAABAgQIECBAgAABAgQIECBAgEAKAWFlCmVjECBAgAABAgQIECBAgAABAgQIECAQFRBWRok0IECAAAECBAgQIECAAAECBAgQIEAghYCwMoWyMQgQIECAAAECBAgQIECAAAECBAgQiAoIK6NEGhAgQIAAAQIECBAgQIAAAQIECBAgkEJAWJlC2RgECBAgQIAAAQIECBAgQIAAAQIECEQFhJVRIg0IECBAgAABAgQIECBAgAABAgQIEEghIKxMoWwMAgQIECBAgAABAgQIECBAgAABAgSiAsLKKJEGBAgQIECAAAECBAgQIECAAAECBAikEBBWplA2BgECBAgQIECAAAECBAgQIECAAAECUQFhZZRIAwIECBAgQIAAAQIECBAgQIAAAQIEUggIK1MoG4MAAQIECBAgQIAAAQIECBAgQIAAgaiAsDJKpAEBAgQIECBAgAABAgQIECBAgAABAikEhJUplI1BgAABAgQIECBAgAABAgQIECBAgEBUQFgZJdKAAAECBAgQIECAAAECBAgQIECAAIEUAsLKFMrGIECAAAECBAgQIECAAAECBAgQIEAgKiCsjBJpQIAAAQIECBAgQIAAAQIECBAgQIBACgFhZQplYxAgQIAAAQIECBAgQIAAAQIECBAgEBUQVkaJNCBAgAABAgQIECBAgAABAgQIECBAIIWAsDKFsjEIECBAgAABAgQIECBAgAABAgQIEIgKCCujRBoQIECAAAECBAgQIECAAAECBAgQIJBCQFiZQtkYBAgQIECAAAE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System state at time t=30 for `A`" }, "xaxis": { "autorange": true, "range": [ -0.5, 7.5 ], "title": { "text": "x bin" } }, "yaxis": { "autorange": true, "range": [ -0.5, 4.5 ], "title": { "text": "y bin" } } } }, "image/png": 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System state at time t=80 for `A`" }, "xaxis": { "autorange": true, "range": [ -0.5, 7.5 ], "title": { "text": "x bin" } }, "yaxis": { "autorange": true, "range": [ -0.5, 4.5 ], "title": { "text": "y bin" } } } }, "image/png": 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oA5OAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEkJVcAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIAXBJCVXrSBSUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALISq4BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAwAsCyEov2sAkIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAWQl1wAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgBQFkpRdtYBIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAspJrAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEPCCALLSizYwCQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQABZyTUAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIeEEAWelFG5gEBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggKzkGoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAS8IICs9KINTAICEIAABCAAAQhAAAIQgAAEIAABCEAAAhBAVnINQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAl4QQFZ60QYmAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCCAruQYgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABLwggK71oA5OAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEkJVcAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIAXBJCVXrSBSUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALISq4BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAwAsCyEov2sAkIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAWQl1wAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgBQFkpRdtYBIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAspJrAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEPCCALLSizYwCQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQABZyTUAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIeEEAWelFG5gEBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggKzkGoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAS8IICs9KINTAICEIAABCAAAQhAAAIQgAAEIAABCEAAAhBAVnINQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAl4QQFZ60QYmAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCCAruQYgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABLwggK71oA5OAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEkJVcAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIAXBJCVXrSBSUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALISq4BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAwAsCyEov2sAkIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAWQl1wAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgBQFkpRdtYBIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAspJrAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEPCCALLSizYwCQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQABZyTUAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIeEEAWelFG5gEBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggKzkGoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAS8IICs9KINTAICEIAABCAAAQhAAAIQgAAEIAABCEAAAhBAVma8Bt774IuMGWpv+LprNTMbr7+m+fyrb81Hn31dewVSUUUI2Gvm62++Da4bDgi4ELCfNWuu0YzPGRdYxAQEmq2+mmm50VpmyYdfQgQCzgTabLK2Wf7xV+bb7753HkOgbgJ8p9Hd/8ZUz3eaxlDTPYbvNKX7v2mLdXRfIDVQPbIyYxOtrDyh12EZszBcC4Fbp94flHrWKb21lEydAgSunTAlyHL96GEC2UihgcDpA4cGZc5+6hEN5VKjAIGuex0QZPn3ircFspFCA4H1mm8elLnBmt9oKJcahQh8+vUaQabWG/1AKCNpap3A0o//E5TYrvlatV4q9QkRWLziK4OsFIKZYxpkZUb4yMqMAJUNR1Yqa7hQuchKIZCK0iArFTVbqFRkpRBIRWmQlYqaLVgqslIQppJUyEoljRYsE1kpCDPHVMjKjPCRlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVgmslIQZo6pkJUZ4SMrMwJUNhxZqazhQuUiK4VAKkqDrFTUbKFSkZVCIBWlQVYqarZgqchKQZhKUiErlTRasExkpSDMHFMhKzPCR1ZmBKhsOLJSWcOFykVWCoFUlAZZqajZQqUiK4VAKkqDrFTUbMFSkZWCMJWkQlYqabRgmchKQZg5pkJWZoSPrMwIUNlwZKWyhguVi6wUAqkoDbJSUbOFSkVWCoFUlAZZqajZgqUiKwVhKkmFrFTSaMEykZWCMHNMhazMCB9ZmRGgsuHISmUNFyoXWSkEUlEaZKWiZguViqwUAqkoDbJSUbMFS0VWCsJUkgpZqaTRgmUiKwVh5pgKWZkRPrIyI0Blw5GVyhouVC6yUgikojTISkXNFioVWSkEUlEaZKWiZguWiqwUhKkkFbJSSaMFy0RWCsLMMRWyMiN8ZGVGgMqGIyuVNVyoXGSlEEhFaZCVipotVCqyUgikojTISkXNFiwVWSkIU0kqZKWSRguWiawUhJljKmRlRvjIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFiwTWSkIM8dUyMqM8JGVGQEqG46sVNZwoXKRlUIgFaVBVipqtlCpyEohkIrSICsVNVuwVGSlIEwlqZCVShotWCayUhBmjqmQlRnhIyszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTGSlIMwcUyErM8JHVmYEqGw4slJZw4XKRVYKgVSUBlmpqNlCpSIrhUAqSoOsVNRswVKRlYIwlaRCVipptGCZyEpBmDmmQlZmhI+szAhQ2XBkpbKGC5WLrBQCqSgNslJRs4VKRVYKgVSUBlmpqNmCpSIrBWEqSYWsVNJowTJ9lJXDrpls7p7+eIMqf7hZG/PQ1FGClddWKmRlxn4iKzMCVDYcWams4ULlIiuFQCpKg6xU1GyhUpGVQiAVpUFWKmq2YKnISkGYSlIhK5U0WrBM32Tljnv3NUli0grMTdu0MCce012w+tpJhazM2EtkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5bpk6y0QvLvzy1wWkF5yx0zzDUTpxVInH3yEQ1E5innjTbt27UK3g9XaRaToNFVnFdd3M8ctM/ugoSbJhWysgzODz02ywy67EYzdfwQ06VTh2CkJlk5duxYs9122wV1v/LKK2bAgAFF6Z1yyinm0EMPXeX9Aw88sMFrNubwww83vXr1KqMT1RuqTVaOuOIK06FD/c/KokWLzIUXXODUvO49epi+ffuaq6680syePdtsscUWZvSYMYljj6i7fmr90CQrT+13mtl8882Dlr799tvmphtvKNre7t17mP/ac8/C+/H4+Pth4JAL3a7Dar6uNMnK6dOnm3feeTdo12abtTc9e/Ys2rqZM58wL7/8cuH9pPhy8lXzNRKfuzZZee211wXfZexhv9ucddaZJduZFj906O/M8uXLnfPVwrWjTVZecskl5sUXXwpat/POOxn751JHqfhp0+41d955Z2G4S75auGZsDZpk5QUXXGjmzZsXtK5z587miitGlGyjS/zjj880U6ZMMbfd9vtauSRS69AkKwcPHmzmzq2/Zrp06WxGjSp9i3BafNr7qfCrNMAnWWlXVcalYxLWUFQueGJS4e34WCsrn579konKx4N6DTY/3XVHM/TsPsG4uBxdvHSFufn2BwvvV1NLkZWO3bKicvxt95u33lmiUlYOGTLEtGrVqiAorbhctmyZGT58eCJBKyu33377okJzjz32MEOHDg3GfvDBB8hKx+uwmsIGDhxoWrRsWRCUVlx+UPcPudGjR5csw4rKQw45xDRv3rwgK5MGWJnZokWL1HzVxKzYXLXIyqOPOdZstNFGBUFpxeXHH39s7rzj9kQ09v2ozIzHW1m5eZ3oLiU8a+H6SKpBi6y08vGTTz4uCEorGjfccCPTrdveia2dMmWq6d175S/H7J+3376j2W233YL4cvPV0vWjSVbefvsdgVgMBaUVkS3r/r469thjEluaFm9F5R57/NSEv5C1f7YCtFi+WrluNMnKG2+80SxZsqQgKK2IbNOmjenXr19iO9Pi7fio7EzLVyvXjK1Di6y0nyvvv/9+QVBaEdm2bduivxhJi1+wYIE599xBwaVg8yAra+mnor4W++/rxYsXFwSlFY3t2rUr+u/ptPi092uP4MqKfJGVVhTue+Q5DfxRMe5WTMZXQIaL5UKBGa6sDMWkzWUl57PzFpoJVw405ZyvGvqPrHToUigq7cNP7UWkcWXl1KlTzfXXX2+eeeaZgJiVjaeffnpRyZgmK0PsrKx0uACrNGTCxInm1ltuCVZG2qNr167mhBNPNKecfHLRikJRaWOm3XtvSVlp3x94zjnmX//6V5UScp+2Flk5+PwLzP/8cXph5dsOO+xgDj6kpxk18gonWHE5iaw0ZvZTjzixq9YgKxv33Xef4Mu8PeyX/EcffayBkCxV25w5c8y7775bkJ1Z81Urx+Azeq8Dgun/e8Xb1VyG09ytTDzuuD5mm222CeJfe+0184c/TDbDhl2aOL5UvB07evQYc8MN1xfGJr3mNLEqC9IkK/vV/XLszDP7B7+It8c//vEPc91148yNRVb/lxtvV1ouWDA/dbVmlV0iidPVIiuPP/63dXJxoNlxxx0DDlY2Xn316KKS0TWelZW18FOQXMNxx/U1gwadazp16hQEzJ8/31x11dV1fz9NShyQFp/2fu2SrPs+uOIrs2mLdXIv0VUehnGP3jPGtGvdvDDv+OtpsnLu/EWm1xnDTXR1Zu4QMkwAWZkCLyoqbahGWbnlllvWfRm7Mfjt8ZtvvhkQS3otijJ+G3ix1ZPIygw/vR4PDW/bjsrEpNeiJURFpX29lKzUtKrSstAgK+0KlTPPGmCuu3ZssHrFHkmvlbrsrey08jpciRm/DfyTTz5xFp8e/3g5TU3DyspPP/3MTJ482fTp08dssMH6AZek10oBsysx27dvH6yslMjn1BxPg7TIyhUrVpiLLrrYXH75ZcEKfnskvRa2KS3+ww8/XEVWlsrnafsbNS0tstKuwj355FPMxIkTghW49kh6LYRYbrwdZ+WmvRW82ErNRjXI00EaZOXSpcvqfiFyXJ1k+oNp3br++XJJr4UtKiceWenphZ1xWkuXLq1bBNTbTJ06pe6aaf1/18yqr628ZkrH27hy8mWcvnfDfZGVFozLbeDIyuRLCFlZ4kcrLirDiy26svLTz78xR/76EO9+QCUn1BhZGT+/XYZuj/hzLrXJynvu+2PA4bd9jpZskXe5ypWVcVFpCyolKzWtqrQsfj+5/rlWIy+vf3RCLR5ZZKWVlBtuuGHqMy7tbeL20HBb+PkXDQtqfezPD9bi5RLUlFUu2lWVs2bNrrtLoP66yJqv2kHvs1+PoIT3332j2kspOf80+RgKzDCJS/xpp51uDj64R+E2cC2ysm37reoxfftFTV8z5crHcuKtpLS/oNP0zErTrH610zpr1u5lU458tBTKidcoK7/4uv5aWX+dZjV70SArZVv72Rffmqf8hJsAACAASURBVA3WXUM2aSOzpW2wY2/jtruBcxv4qoCRlSUuOnthRXdRioaGzxNAVq5cbVnq5zd8RqX2DXaQlWMSb922z7f8ad2jBZKOSZMmmRkPrhQuNtYeac++bOTfJ14OQ1auXG1ZqkHxZ17GY+1t5cfW/dZawwY7yMqVqy2Trpl//vOf5i9/eTR1VWa5KzW9/ABxnBSysuFqyxCbi6wMY+Koo7eGO7ahqsKQlQ1XW4bNK0dWhmPiz7isqguh3MkiKwurLUN0yMrSFxGycuVqy5XXDCsrS101PslKO08rIuO7doe3bIeb77husGN3Ay/2zEp7Lnur+NvvLS3sPh7dYCc8Z7XsDo6sLPMvWI23gVtE5T6zMo4VWVlPRNNu4I15ZmX0uklaWZl2K3mZP85VE67hNnDbjKzPrEyTkWnvV80F4TBRDbeBWwyNecZkfEVlFGdj8jm0oypCtNwGbpsh+czKpOY+/PDDdbeWf8gGO1Vx5btNstxnUJYbb5+BOWTIReb+++9zm1AVR2m4Ddy2x/UZlGErXeM1rqzUsht4uc+YTItPe7+KP0ZSp+7TbeDhZJMWwkXv2LVxobAMx8R3EU97ZmU4Ltw1PPxzeB5kZeqlU90BWmVl2m7g8du8rdzs1Wvljqv2z/aLWHz3cG23gWuSlWm7gdvdwe1x4QUXJH4oJMlKjasqLRwtsjJtN/D4bdxWbkY330l7P/5My+r+26j07LXIyrTdu+0zKe3Rs2fP4L/xP8cppuWr5WtGk6xM293b7sprj3C38LT46HURbq4TfSZmrV43Wp5Zafvnsru3jQt3+E6LtzIzujlPOC66Q3itXjdaZGXa7t52d3B7XHHFiOC/afHh9YCsrNWfjPTdwO3u4PYYNWpU8N+03b7T3q9dkv5ssFPLjJuiNlZWlklZq6wMPxC32267gNgrr7zS4PmTcVlp/xzG2vinn366gagMV1pG8T/wwANmwoQJZXakusI1yUrbGSskO3ToEDRp0aJFDcRkubLSPtfSbqyjZQfw6JWtRVbamq1w3HzzzYPy33777QbPl4zLyGhssfgwl33f7qoYbr5TXZ8c5c9Wi6y0ZKyAfOeddwNIm23WviAmw/fsf62sDG/pTqJ52GH/r7CjeKl85XeiekZokpW2K1YM2O8y9rDfV0IxGb5n/xt/rVj87NnPGvvIkvCo9du/wzo1yUpbsxWJL774UlB+/BmTSbIxLT7MlZSvej45yp+pFllpyVghOW/evABS586dC2IyfM/+N5SVafF2N/Fzzx3UAHifPr3N0UfX9nPwbcFaVlbaWq2QnDu3/prp0qVzQUyG79n/hrIyLd7l/fJ/gqtjhI8rK6uDnF+zRFZm7Md7H3xhTuh1WMYsDNdCQJus1NLXStepSVZWmqWW/JpkpZaeVrpObbKy0jw15NcmKzX0tClq1CQrm4KnhnNokpUa+tkUNSIrm4Jy5c+BrMzIGFmZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZSIrBWHmmApZmRE+sjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXLRFYKwswxFbIyI3xkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5aJrBSEmWMqZGVG+MjKjACVDUdWKmu4ULnISiGQitIgKxU1W6hUZKUQSEVpkJWKmi1YKrJSEKaSVMhKJY0WLBNZKQgzx1TIyozwkZUZASobjqxU1nChcpGVQiAVpUFWKmq2UKnISiGQitIgKxU1W7BUZKUgTCWpkJVKGi1YJrJSEGaOqZCVGeEjKzMCVDYcWams4ULlIiuFQCpKg6xU1GyhUpGVQiAVpUFWKmq2YKnISkGYSlIhK5U0WrBMZKUgzBxTISszwkdWZgSobDiyUlnDhcpFVgqBVJQGWamo2UKlIiuFQCpKg6xU1GzBUpGVgjCVpEJWKmm0YJnISkGYOaZCVmaEj6zMCFDZcGSlsoYLlYusFAKpKA2yUlGzhUpFVgqBVJQGWamo2YKlIisFYSpJhaxU0mjBMn2RlauttppgVe6pvv/+e/dgjyORlRmbg6zMCFDZcGSlsoYLlYusFAKpKA2yUlGzhUpFVgqBVJQGWamo2YKlIisFYSpJhaxU0mjBMn2RlauvvrpgVe6pvvvuO/dgjyORlRmbg6zMCFDZcGSlsoYLlYusFAKpKA2yUlGzhUpFVgqBVJQGWamo2YKlIisFYSpJhaxU0mjBMn2Rlc2aNROsyj3Vt99+6x7scSSyMmNzkJUZASobjqxU1nChcpGVQiAVpUFWKmq2UKnISiGQitIgKxU1W7BUZKUgTCWpkJVKGi1Ypi+y8gc/+IFgVe6p/vOf/7gHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrFxjjTUEq3JP9c0337gHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrFxzzTUFq3JP9fXXX7sHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrFxrrbUEq3JP9dVXX7kHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrFx77bUFq3JP9eWXX7oHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrFxnnXUEq3JP9cUXX7gHexyJrMzYHCsrORoSWHetZmbj9dc0n3/1rfnos9p4XgI9rjwBe818/c23wXXDAQEXAvazZs01mvE54wKLmIBAs9VXMy03Wsss+bA2fuNMW5uGQJtN1jbLP/7KfPvd901zQs5S9QT4TlP1LWzyAvhO0+TIq/6EfKcp3cJNW+QjCqOzWnfddXO5zj7//PNczit9UmRlRqLIylUBIiszXlRKh/PFXmnjM5TNF/sM8JQO5Yu90sZnLBtZmRGgwuF8p1HY9Iwl850mI0CFw/lO47+sXG+99XK5Mv/973/ncl7pkyIrMxK1svInO2+bMQvDtRB49sVXg1L33WtXLSVTpwCBR596LsgyqP8JAtlIoYHAVeNuDcqccf8UDeVSowCB7of1DrIse2ehQDZSaCDQarOOQZnrrM5dRhr6LVXjF9/Vr3ZqtWEzqZTkqXECyz6pv+uqXfN8Niupcbw1WZ4vt4Gvv/76ufD97LPPcjmv9EmRlRmJIiszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9k5QYbbCBYlXuqTz/91D3Y40hkZcbmICszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9k5YYbbihYlXuqTz75xD3Y40hkZcbmICszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9k5UYbbSRYlXuqjz/+2D3Y40hkZcbmICszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9k5cYbbyxYlXuqjz76yD3Y40hkZcbmICszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9kZfPmzQWrck+1YsUK92CPI5GVGZuDrMwIUNlwZKWyhguVi6wUAqkoDbJSUbOFSkVWCoFUlAZZqajZgqUiKwVhKkmFrFTSaMEyfZGVLVq0EKzKPdUHH3zgHuxxJLIyY3OQlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVimL7KyZcuWglW5p1q+fLl7sMeRyMqMzUFWZgSobDiyUlnDhcpFVgqBVJQGWamo2UKlIiuFQCpKg6xU1GzBUpGVgjCVpEJWKmm0YJm+yMrWrVsLVuWeaunSpe7BHkciKzM2B1mZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZfoiK9u0aSNYlXuqJUuWuAd7HImszNgcZGVGgMqGIyuVNVyoXGSlEEhFaZCVipotVCqyUgikojTISkXNFiwVWSkIU0kqZKWSRguW6YusbNeunWBV7qkWL17sHuxxJLIyY3OQlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVimL7Jy0003FazKPdV7773nHuxxJLIyY3OQlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVimL7Kyffv2glW5p3r33Xfdgz2ORFZmbA6yMiNAZcORlcoaLlQuslIIpKI0yEpFzRYqFVkpBFJRGmSlomYLloqsFISpJBWyUkmjBcv0RVZuvvnmglW5p3r77bfdgz2ORFZmbA6yMiNAZcORlcoaLlQuslIIpKI0yEpFzRYqFVkpBFJRGmSlomYLloqsFISpJBWyUkmjBcv0RVZuscUWglW5p/rXv/7lHuxxJLIyY3OQlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVimL7Lyhz/8oWBV7qneeust92CPI5GVKc255Y4Z5pqJ0wpRP+u6k5lw5cDCnzXJygcffNB06dIlqH3u3LmmR48eqZd29HkJl1xyibn55puDMfb/n3TSSauMz+u5DqmFCAVok5V33XWX2XnnnQN6L774ojnqqKNSSb788suFmJEjR5rJkyc3GNOnTx9z/PHHm27duqXmqpUATbLy0mHDzLbbbhu07tVXXzW/GzrUqY0HHHig6d27t7lmzBgzZ86cYIz9s309fhx7zDFOOas5SJOsfOKJv5qlS5cG7WrdurXZe+9fFG3dnDnPmddff73wfjzefv7Mn79glfFHHnlENV8OTnPXJitvumli8BljD/uZc+qpJ6dyev75582f/vRnc8EF5yfGpr2feoIqC9AmK4cNu6zu82F+0KVOnTqZoUMvLtkx1/innnrKjBs33gwbdqnp2LFjlV0F5U9Xk6y88MILzbx5LwSQOnfexYwYMaIkMJf4mTNnmilTpprf//7W8uFX6QhNsnLw4MF1/86eF3SqS5fOZtSoUSW7lhaf9n6VXhKp0/ZFVm611Vapc61EwBtvvFGJtE2eE1mZgvyU80Y3kJP2z+3btTJDz+4TjNQiKydOnGjsblahoLTi0u4ydfLJyV/u7Zetxx57LJCSoaCMorav77bbbk7Cs8l/Kip4Qk2ycuzYsaZt27YFQWnF5fvvv28GDBiQSLhDhw5m+vTpJklQ2gH77LNP3Zf5ccHYJUuWICsreJ3mlfqss84yzVu0KAhKKy5XfPCBufbaa0tOyQrJHt27m02aN19FVm5bd125Cs+86q7EebXISisfP/vss4KgtOJy/fXXr/v7ZddErDNmPGS6dz+o8J7981ZbbWl22GGH4DUrK5cuXVZSeFaiXz7k1CQrp027z3xQ99kSCkorLlvUffYcccSvE1vxxhtvmuuvvyF4r0WL5qvIyrT3fehvJeagSVZOmDAx+O4RCkorItu0aWNOOSX5e7BrvBWV99wzLciNrKzEVZpfzuuuG1f3vXdxQVBaEdm2bTtz5pn9EyeVFr9gwQIzaNB5wVj7/RpZmV9vK3Vm+2+nxYsXFwSlFY3t2rUr+m+ntPi09ytVhw95fZGVW2+9dS44or+Yz2UCQidFVpYJ0q60fHbewoLA1CIrn3vuOTNkyBDzyCOPBMQOOOAAM3z4cLPrrsn/ILRy08pMKyWTDmRlMrcyL0evw+1vfi+//PJAWtvDysaLLrqoqGS0f6FamWllZamDlZVetz3T5MaPH28mTZpUWBlpf6HRt29fc8YZZxTNG4pKG3P7HXcgK/+PlBZZaWXj7rt3NS1btgwqX758uZk1a3YDIVnqoozLSWSlMcveWZjp57gaBl9xxcjgF2lbbbVlMF0rG+0v1IqtmAxrSls5mfZ+NbApZ46aZGX//mea008/rbDyceHChYHAHjfuukRkLvGhqLQ5jjzyN8jKci6+Koj97W9PMAMHnmN23HHHYLZWNo4ePaaoZHSNZ2VlFTS/kVM87ri+dUL63GDltj3sSu6rrrra/OEPkxIzpsWnvd/IaVbFMF9kZXi3WFNDC+8caerzSp8PWVkm0YN6DTY/3XVHVSsrw1WSVjbZL2f2SHotitLe/m3Fk/3NX3hEx8dvA7exxcRnmS3yOlzLyspwlWTPnj3NokWLgp4kvRZtlpUEdmWBXakQHtHx4WvISq8v8UZPbrO63fLsrS72t8jv/N8OdkmvRU8QFZX29SRZGb0N/MMVK0qKz0ZP3sOBGmTl559/bh58cEbdCv3uZt111w26kPRaqfbYlZitW7dqsLIyehv4euut5yw+PbwMypqSlpWVH330Ud0v0kbU/fLsQrPxxhsHjJJeS4KXJiPT3i+rIVUQrEVW2l+CnHba6eaGG65v8IuR+Gthy1zio6LSjkNWVsEFX8YUly1bZqwospKpVatWwcik18KU5cQjK8toRBWF2sfZ9OrV20ydOiV4pI09kl4LS0qLt3Hl5KsiVE5T9UVW2n//5nGE//7O49yS50RWOtK0kvKtd5aY+DMrP/38G9Oxw5aOWaozrFxZGcafcMIJhZWYoZws9kxKe1u5PVyeg1mdFOtnvXDRm8F/d99tl2ouI3Xu5crKML5///6FlZjnn3++sWIyvD0zPKlGWTlrTv3zjk498bhU9tUaUK6sjItKW3dcVsZZ2NvK7aHhtvCbbvlDUOtdt99WrZdE6ryzysrw+ZSlnkdpZaY9Sj0HM3WiVRJw1LHHBzN9fVH9M/lq9UBWynV26w71q3/+89Wnckk9zOQiH6PTTov/xz/+Edz6HV2VqUlW/mCtDQJca6/xvYfdlplSOfLRnrGceI2y8stvVgsas/46zWQa5GGWNPkYCsxw6mnxNk6zrPzsi2/NBuuukXunf/SjH+Uyh3/+85+rnNc+zvDp2S8Fr8edVrFJ7rh338JbV13czxy0z+5NWg+yskzcw66ZbN5dvKxwGziycuVqyxBlsVWXdrVlVGBG0dvbym+99VZT6xvsICunm6TVksVWXVqZEBWY9ppBVpb5oVUl4eXKSvt8y667J/+FOWXKFPPIww+vUrm9rfzsc84xGjbYQVauXG2Z9CNgd0m0t4tHV2UmxVnp8PjjM+tWPdX+BjvIyoarLZOuh7SVk2nvV8nHsfM0kZUNV1uG4NJk5X333V/4xWwcdv/+Z5i99trLuQfVGIisXLnaMuwfsrL0lYysXLnaElnp9qnni6zMa9O08G7YkFbcYcX3YYlTXbx0hdn3yHNMHoIyOhdkpdv1XoiaO3+R6XXGcLPgiUnBazyzMvnZi0liEllpjJbbwO3PRrnPrEwSk8jK+o8eLbuBN+aZldGP8LSVlZpkpYbbwG3vG/PMSpcVlVHpoEVWarkN3PaWZ1aW+eW3SLiW28Bt+S7PoIxiKjde08pKLbuBuz6DMrxuXOM1rqzUsht4uc+YTItPe1/mbwI/s/hyG/j222+fCyC7gj962LuEh59/ounSqf62dOu0hoy8xTw0NXm3eSs3N23Twpx4TPdc5h+eFFmZgt82NtpEa6HtMeHKgcF/tcjKtN3A47dx23j7DMrwOZT2NvCDDz648Ge7YU/0GZX2z/Z/xXYXz/WnRPDkmmRl2m7gdjMDe9hNDuxh43fZZZfCBjz2NvD9999/lQ15NK6s1CIr03YDT7uNOy4rrfyMbs5j/2yf4ZK2u7jgj3xuqbTIyrTdwOO3cafd1p20W7h9jm6x3cVza3AFTqxJVqbtBm53B7dHuFt4iDtt5WTa+xVoW64pNcnKtN297e7g9gh3C0+LjzcOWZnrpVyRk6ft7m13B7fHiBEjgv+mxYeTRFZWpF1eJE3bvds+190e9hnv4b+dSu0enpbPi6IrNAlfZGX8cWYVKneVtPYX8+ERrpJ89J4xpl3r5sHLSa9Fk9jbv3+4WZvgMYjhER3fVHUgK1NIR+/tt6Hx+/u1yEpbuxWSXbp0CYjNnTu3wfMlk545aYVl9+71Nj6+gU40l31/xowZNS8qbZ2aZKWt1wrJnXfeObgGXnzxxYKYDN+z/w1lpf3/9i/V/fbbL4i3m+1069at8BNqN2gaN25cg5/YyZMnp+4e3lQfppU8jxZZaRlaIRnunGd3sos+X7JcWRnNZXPPnjVLhai0tWqRlbZWKyDts5vsYZ/pFH2+ZFROhs+4TPpZ/eUvuwUbZ0Rz2bitt95ahai0tWqSlbZeKyTD3TLtZ05UTMZlpd0t3O78HD0OOGB/s++++wQvpb1fyb8f8sytSVZazlZI2t157WF36w3FZPie/W/8tWLx8b4hK/O8kit3bisk582rf+545867FMSk/XNcVoavFYu3u4kPGnReg8n27t3bHH10/S/9a/nQsrLS9tAKyblz5wXt7NKlc0FMhu/Z/4ayMi3e5f1avW58kZXhzu5NzTn8u8eet1xZGcZPHT+ksBLzljtmmGsmTivcXdxU9SArM5LWJCszomJ4HQFtspKmyxDQJCtliJFFk6yk2zIEtMlKGWq6s2iTlbq7LVe9ltvA5YiRSZOspNsyBHyRlTvttJNMQWVmeeml+o10ssjK+EpKu9oyKjDLnFKjwpGVjcK2chCyMiNAZcORlcoaLlQuslIIpKI0yEpFzRYqFVkpBFJRGmSlomYLloqsFISpJBWyUkmjBcv0RVaGdxgKluaUyt7RGD3KfWZlkphEVjqh9ysIWelXP3yfDbLS9w75OT9kpZ998XlWyEqfu+Pn3JCVfvbF51khK33ujr9zQ1b62xtfZ4as9LUz/s7LF1nZuXPnXCDNm1f/KIHwSNsNPL4vi43/+3MLCnu32NvA73/oyaIb8lSqSFZWZiSLrMwIUNlwZKWyhguVi6wUAqkoDbJSUbOFSkVWCoFUlAZZqajZgqUiKwVhKkmFrFTSaMEyfZGV4X4fgqU5pbL7i8SP6F4s8X1Y4rLSjrXC8u7pjwdp7GY7xXYOd5pQI4OQlY0EFw5DVmYEqGw4slJZw4XKRVYKgVSUBlmpqNlCpSIrhUAqSoOsVNRswVKRlYIwlaRCVipptGCZvsjKH//4x4JVuad6/vnn3YM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVW7rrrroJVuad67rnn3IM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVW/uQnPxGsyj3Vs88+6x7scSSyMmNzkJUZASobjqxU1nChcpGVQiAVpUFWKmq2UKnISiGQitIgKxU1W7BUZKUgTCWpkJVKGi1Ypi+ysmvXroJVuaeaPXu2e7DHkcjKjM1BVmYEqGw4slJZw4XKRVYKgVSUBlmpqNlCpSIrhUAqSoOsVNRswVKRlYIwlaRCVipptGCZvsjK3XffXbAq91SzZs1yD/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1m5xx57CFblnuqZZ55xD/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1n5X//1X4JVuaf63//9X/dgjyORlRmbg6zMCFDZcGSlsoYLlYusFAKpKA2yUlGzhUpFVgqBVJQGWamo2YKlIisFYSpJhaxU0mjBMn2RlXvuuadgVe6p/va3v7kHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrNxrr70Eq3JP9dRTT7kHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrPz5z38uWJV7qieffNI92ONIZGXG5iArMwJUNhxZqazhQuUiK4VAKkqDrFTUbKFSkZVCIBWlQVYqarZgqchKQZhKUiErlTRasExfZOUvfvELwarcU/31r391D/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1nZrVs3warcU82cOdM92ONIZGXG5iArMwJUNhxZqazhQuUiK4VAKkqDrFTUbKFSkZVCIBWlQVYqarZgqchKQZhKUiErlTRasExfZOUvf/lLwarcUz3++OPuwR5HIiszNsfKSo6GBNZdq5nZeP01zedffWs++uxr8EDAiYC9Zr7+5tvguuGAgAsB+1mz5hrN+JxxgUVMQKDZ6quZlhutZZZ8+CVEIOBMoM0ma5vlH39lvv3ue+cxBOomwHca3f1vTPV8p2kMNd1j+E5Tuv+btlgn9wtk3332yWUOjz72WC7nlT4psjIjUWTlqgCRlRkvKqXD+WKvtPEZyuaLfQZ4SofyxV5p4zOWjazMCFDhcL7TKGx6xpL5TpMRLHddHgAAIABJREFUoMLhfKfxX1b+6le/yuXK/Mtf/pLLeaVPiqzMSNTKyvYt182YheFaCLy7/POg1O22bK2lZOoUIPDKm0uDLH2POkQgGyk0EJh01x+DMu+adL2GcqlRgMBRfU8Psrzz2gsC2UihgcBm2+wSlLnm959pKJcahQh8vdr6QaaWG6wulJE0tU5g+affBSW23WTNWi+V+oQIvP/h18aHlZX77befUEXlpfnzn/9c3gBPo5GVGRuDrMwIUNlwZKWyhguVi6wUAqkoDbJSUbOFSkVWCoFUlAZZqajZgqUiKwVhKkmFrFTSaMEyfZGVB+y/v2BV7qke+dOf3IM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVWHnjAAYJVuad6+JFH3IM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVWHnTQQYJVuad66KGH3IM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVW9ujeXbAq91QPzpjhHuxxpHey8qBeg81b7yxJRLbgiUneoURWetcSryeErPS6Pd5ODlnpbWu8nRiy0tvWeDsxZKW3rfF2YshKb1vj9cSQlV63x8vJISu9bIvXk/JFVh7co0cunP7nwQdzOa/0Sb2SlaecN9q0b9fKDD27j3SdFcuHrKwY2ppMjKysybZWvChkZcUR19wJkJU119KKF4SsrDjimjsBsrLmWtokBSErmwRzTZ0EWVlT7WySYnyRlT0POaRJ6o2fZPof/5jLeaVP6pWs3HHvvmbq+CGmS6cO0nVWLB+ysmJoazIxsrIm21rxopCVFUdccydAVtZcSyteELKy4ohr7gTIyppraZMUhKxsEsw1dRJkZU21s0mK8UVWHtqzZ5PUGz/JA9On53Je6ZMiKzMSRVZmBKhsOLJSWcOFykVWCoFUlAZZqajZQqUiK4VAKkqDrFTUbMFSkZWCMJWkQlYqabRgmb7Iyv936KGCVbmn+u8HHnAP9jjSK1lpbwPvuf/PzEH77O4xsoZTQ1ZWTau8mCiy0os2VN0kkJVV17LcJ4yszL0FVTcBZGXVtSz3CSMrc29BVU4AWVmVbct10sjKXPFX5cl9kZW/PuywXPjdd//9uZxX+qReycq58xeZISNvMQ9NHSVdZ8XyISsrhrYmEyMra7KtFS8KWVlxxDV3AmRlzbW04gUhKyuOuOZOgKysuZY2SUHIyibBXFMnQVbWVDubpBhfZOXhv/51k9QbP8m9992Xy3mlT+qVrLTPrCx1sBu4dPvJ19QEkJVNTbw2zoesrI0+NmUVyMqmpF0b50JW1kYfm7IKZGVT0q6dcyEra6eXTVUJsrKpSNfOeXyRlUccfnguUKfde28u55U+qVeyUrq4psjHysqmoFw750BW1k4vm7ISZGVT0q6NcyEra6OPTVkFsrIpadfGuZCVtdHHpq4CWdnUxKv/fMjK6u9hU1fgi6z8zZFHNnXpwfnuvueeXM4rfVJkZUaiyMqMAJUNR1Yqa7hQuchKIZCK0iArFTVbqFRkpRBIRWmQlYqaLVgqslIQppJUyEoljRYs0xdZedRvfiNYlXuqu+6+2z3Y40gvZKW9/fuqi/uZQZfdWBIVt4F7fCUxNScCyEonTATFCCAruSTKJYCsLJcY8chKroFyCSAryyVGvCWArOQ6KJcAsrJcYsT7IiuPPuqoXJpx51135XJe6ZN6ISuli2rKfKysbEra1X8uZGX19zCPCpCVeVCv7nMiK6u7f3nMHlmZB/XqPieysrr7l9fskZV5ka/e8yIrq7d3ec3cF1l57DHH5ILg9jvuyOW80idFVqYQHXbNZHP39McLUT/rupOZcOXAwp81ycq///3vZvfddw9qnzVrlvnpT3+aSK9Tp07mpZdeSnxvtdVWC16/5pprzIABA1aJCd+XvtB9yadNVs6cOdPstttuAf45c+aYbt26JbZihx12CK6ppGODDTYovOyaz5d+S81Dk6y8btw407FjxwDdwoULzZn9+xfFeGq/fuawww5b5f39fvWr4LWLL77Y7PXznxfeT8sn1S8f8miSlbNnP2s+WLEiwN6ieXPTtetPirZg/vwF5u133im8nxT/xF+fNF988YVTPh96LTUHbbLy97+/zbz22usBvm222dr89rfHp6KcN+8F89hjj5mBA89pEDtz5hPm0UcfK7zmmi/1hJ4HaJOVw4cPN/YzxB6dOu1ohgwZUrJDpeL/+7//29xzz7RVxt95Z238A7MUGE2y8sILh5gXXnghwLHLLruYESOGl7xmXOLtd+GpU283t956i+efEHLT0yQrBw8+38ybNy+A17lzZzNq1MiSINPi096X65JfmXyRlb2OPTYXMFNvvz2X80qf1DtZ+dBjs1a5HfzRe8aYdq2bS9fulO+gXoPNQ1NHFWLtnw876OfmxGO6B69pkZXTpk0zm2++eUFQWnH59ttvmyOOOMKJo5WTm222WSHe/nmPPfYoKjydklZhkCZZOWXKlKDnoaC0X67eqZMEvXv3durcyJEjTfv27QvxWfM5ndTTIC2y0srFVq1bFwSlFZfLli41l112WWJnrKy0oruY0LzjzjvNMUcfXRhr//zkk0+am24s/cgRTy+DsqalRVZacfD5558XBKUVl+uuu24gEpIOKyL3/sVKgW3/vFnd58y2224ThCf9uWWLFkXzldUUz4M1ycoHHphuVtQJ7lBQWnHZvE50H3poz8QuvfXWW2bixHox0Lz5JqvISjs+KjvT8nl+KThPT5OsvPnmW8zSpUsKgtKKyNat25iTTjoxkVdavJWVL7/8cqrwdG5GFQVqkZXj6r7DLF78fkFQWhHZrl1b07/IL2HT4hcseNmcd955Qafbtm2LrKyia951qmPHXlt3zSwuCEorGtu1a1e3wOesxBRp8Wnvu86rGuN8kZW9e/XKBd+UqVNzOa/0Sb2SlbfcMcNcM3GaiT6bcvHSFWbfI88xU8cPMV06dZCuv+x8do7PzltYWF2pRVZayXTGGWeYBx54IGB26KGHmvHjxwcyyuX4/vvvzU477VT3G+n5QTiysrULtqqOeeWVV+r+QTfQPPjgg0EdPXr0MKNHjzbbbbedU12ffvppsJLXfpm3R9Z8Tif1NEiLrLQy0X6u/O/f/hZ04r/23DP43IkKx2iL0mRlvJ3lxnt6OThNS4ustHJxl513MptssknA5cMPPzQvvPhSAyFZCtirr74WSCu7GtOO/fus2ebAA/YvDEl6zakBVRikSVaOHj3GHH74r80Pf/jDoFNWRt57732rSMh4G4utrIzH2ZWWb7zxhtNqzSq8VApT1iQrzzprgDnttH6F7zD2O8kNN9xorr12bGIL0+KRlca03GD1ar78U+d+wgknmnPOOcfsuOMOQayVjWPGjCkqGV3jWVmZir5qA/r2Pd6ce+65hV+Q2l/IXn311WbSpNsSa0qLT3u/akE5TNwXWdnHcZGOQ0llhUyuWzRUC4dXstKuWhx+/omrSEm72nL8bfc3WOGYF/xTzhttftK5o6qVleFt3VHZmPRasZ7EV1XauPht4O+++66z+Myr9xLn1bKyMrytOyobk14rxjS+qjJrPone5ZlDg6zccsstzcSbbzYnn3SSefPNNwPcSa9F+xC/DXz58uVFxaYdZ1dqWvnNyso8r2a5c3/x5ZfmiSf+avbe+xdmnbXXDhInvVbqjHYlpl1RZ1dWJonJcvPJVdf0mbTIyo8++thcddXVZtCgc83GG28UgE56LakDrrLSytBtttmm6ErNpu9uZc6oRVbav1v69z/TjBt3nWnZsmUAM+m1kLJLfPw28NZ1dxUUE5+V6V5+WTWsrFy2bJmxoshKplatWgWwk14Lu1BOPLIyv2u3kmdeWncnUe/efcyUKZPrVm3XL2pJei2cQ1q8jSsnXyVryyO3L7Ky73HH5VG+mfSHP+RyXumTeiUr7a7gSSso585fZHqdMbzBiktpEC75klZ+fvr5N2bD9dZ0GV61MVllZXxVZRIIe1u5PYo9B7Nq4cUm/sm/vw5e2bRNPo81aCqOWeVifFVl1nxNVXelzvPekvrn8f2650GVOkXueRsjK+OTtjLSHkm3hYdiM3yeZe4FV3gC901/KDjDzTdeW+Ez5Zc+q6y0qyoXvfpqg5WUDz/yJ9Nh220Lt4VrkpUn9au/zewf85/Lr6lNcOZKykorKVes+ND5GZhNUG5FT7F9p12D/F99/lFFz5N3chf5GJ1jufF2rL2t3B5pz8HMm4XE+ddad+MgzVo/+E4inZc5ypGPtoBy4jXKyq/+U78Kd721a3c1bpp8DAVmeMGnxds4zbLy319+ZzZYd43cPx+O79s3lzncNmlSLueVPqlXstKuWuy5/8/MQfvUb+ISHj7IyvBZmvHnZyIrV97anXRx2mdd2iPt2Zb2tnL7W+Za32AHWTmrwa3dSdeMfTZl/V+wK59tiaxEVoarLUv9JWhvG7/kkktMXEjaTXisrIyu2pT+y9S3fMjKlastk3rz3nvv1d8uHlmVaeNCORkfE7013LdeS80HWdlwtWUSV9eVlfFnYkr1yLc8yMqGqy3D/jRGVtrbyi+55FKjYYMdZOXK1ZbhNYOsLP3phqxcudoyJIWsLH3N+CIrf3t8+uZ9lfi7/fe3JT86oBLnqmROr2SlFYLT//R0g922bfF2ReN7Sz4wQ8/uU0kWRXMnragMg3lmZfFnVpZzq7gWWanlNnD789GYZ0yWulW8Mfly+cCowEk13AZusZX7zMo46iRZqW1FZciEZ1au3EQnfp0krags9mNrY7+su9282IY9Ffhxzy2lltvALeBKP7My3JBn+PDkzcFya7LwibXcBm6xpT2DMo623HhNslLDbeD2enB9BmV47bjGa1xZqWU38HKfMZkWn/a+8F8JXqXz5TbwE084IRcut9x6ay7nlT5p7rLS3vrtekQ33nEdkzXOrva0x4QrByam0iIr03YDT7qNu9SqSrthT3RzHvvnZ555JnUFZtZ+5j1ek6xM273bftmyR7hbuP3/Sasqw56l5cu7t5U8vxZZmbYbePw276Tdvv9R90zKcPfwUreFV7JfPuTWIivTdgO3z6S0h91Axx7xP5fqVfgMy/jqSx/6W4k5aJKVabuB29287RHd4dv+udjKSis/Bw48p9CWYuMr0bc8c2qSlWm7e8dv406LtzIz+oxK+2f7S/5iu4vn2Wfpc2uRlWm7e9vdwe0xYkT9IwDS4sM+ICulr0h/8qXt3m13B7fHqFEjg/+mxae970/l8jPxRVaedOKJ8sU5ZLz5lltWibJe6+nZLwWv/6zrTkX9VnxgeIdxHhte5y4rHVjnFhLuRJ40gbBZWmSlZWCFpN0wxR6zZs1q8HzJuKwcMGBAsIlOdFOeKMdoLvv6vffeW/Oi0tapSVbaeu0Xqt122y1o/Zw5cxqIybisPP30043dWCe6KU/8Z69Uvtw+KJrgxFpkpUVpBWPHjh0DqgsXLmzw/Mm4fIzG2vinnnyyICrDZ2AmtcfeKh7uON4E7cvlFFpkpYVrBeQHdTt626NF3WY5oZgM37P/ta8Vu8Xbvv/T3bsGO4qHt4eHTdNw+3dYqyZZaWu2QvG1114Pyt9mm60biMm4bAxXSkZ/mPfdd5+6v9P2Dl6K5krKl8uHQBOcVJOstDitkLS/ILGHXW0dfb5k0jMn0+LDXDbfL3/5SxWi0taqRVbaWq2QfOGFF4JrZpdddimIyfA9+99QVqbF293EzzvvvAY/2b179zJHHXVUE/y053sKLSsrLWUrJOfNmxcA79y5c0FMhu/Z/4ayMi3e5f18O1u5s/siK+0jqPI47Kal0WPYNZPNu4uXFQSlFZft27VKvXM53Oj6rXeWJO4tU+nakJUZCWuSlRlRMbyOgDZZSdNlCGiSlTLEyKJJVtJtGQLaZKUMNd1ZtMlK3d2Wq16TrJSjpjuTJlmpu9Ny1fsiK0895RS5osrIdNOECQ2iD+o12Aw//0TTpVOH4HW7J8yQkbeYh6aOKpo1FJU2pthG2GVMqVGhyMpGYVs5CFmZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZfoiK/udeqpgVe6pbrzppkJweLdwdKPopNei2aOi0r6OrHRn71UkstKrdng/GWSl9y3ycoLISi/b4vWkkJVet8fLySErvWyL15NCVnrdHm8nh6z0tjXeTgxZ6W1rvJ2YL7LytH79cmF0w403NlpWxkUlsjKXFsqcFFkpw1FLFmSllk7L1omslOWpIRuyUkOXZWtEVsry1JANWamhy/I1IivlmdZ6RmRlrXdYvj5fZOUZdXsy5HGMv/76RstK+3zLu6c/njjtqy7uZw7ap34Pk6Y4uA08I2VkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5bpi6zsf8YZglW5pxo3fnyD4MY8szKagNvA3dl7FYms9Kod3k8GWel9i7ycILLSy7Z4PSlkpdft8XJyyEov2+L1pJCVXrfH28khK71tjbcTQ1Z62xpvJ+aLrDzrzP65MLr2unENzpu2G7jdHdweE64cmDhfZGUdFgvh7JOPMCce0z2XpjbmpMjKxlDTOwZZqbf3WSpHVmahp3MsslJn37NUjazMQk/nWGSlzr5nrRpZmZWgvvHISn09z1qxL7JywFlnZS2lUePHXnvtKuOskHx69kvB6z/rulMDMYmsdMBsH+Y56LKVDwP9Tc9fmqFn93EYmV8IsjI/9tV4ZmRlNXYt/zkjK/PvQbXNAFlZbR3Lf77Iyvx7UG0zQFZWW8f8mC+y0o8+VNMskJXV1C0/5uqLrDx7wIBcgFwzdmwu55U+qdfPrLQrLcPDV3GJrJS+JGs7H7KytvtbqeqQlZUiW7t5kZW129tKVYasrBTZ2s2LrKzd3layMmRlJenWZm5kZW32tZJV+SIrB55zdiXLLJp79Jhrcjmv9Em9lZWLl64w+x55TmK98WWr0lDKyYesLIcWschKroHGEEBWNoaa7jHISt39b0z1yMrGUNM9Blmpu/+NrR5Z2VhyeschK/X2vrGV+yIrzx2Y7LMaW5fruKtHj3EN9TrOK1kZ3ya92GpKu+JywROTvACLrPSiDVUzCWRl1bTKq4kiK71qR1VMBllZFW3yapLISq/aURWTQVZWRZu8mySy0ruWeD8hZKX3LfJugr7IykHnnpsLm6uuvjqX80qf1CtZyQY70u0ln28EkJW+daQ65oOsrI4++TRLZKVP3aiOuSArq6NPPs0SWelTN6pnLsjK6umVLzNFVvrSieqZhy+ycvB5g3KBNurKq3I5r/RJvZKV0sU1RT5WVjYF5do5B7KydnrZlJUgK5uSdm2cC1lZG31syiqQlU1JuzbOhaysjT42dRXIyqYmXv3nQ1ZWfw+bugJfZOX5g89r6tKD840cdWUu55U+KbIyI1FkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5bpi6y88ILzBatyTzXiipHuwR5HIiszNgdZmRGgsuHISmUNFyoXWSkEUlEaZKWiZguViqwUAqkoDbJSUbMFS0VWCsJUkgpZqaTRgmX6IiuHXHiBYFXuqYaPuMI92ONIZGXG5iArMwJUNhxZqazhQuUiK4VAKkqDrFTUbKFSkZVCIBWlQVYqarZgqchKQZhKUiErlTRasExfZOVFQy4UrMo91eXDR7gHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrBx68UWCVbmnGnbZ5e7BHkciKzM2x8pKjoYE1l2rmdl4/TXN5199az767GvwQMCJgL1mvv7m2+C64YCACwH7WbPmGs34nHGBRUxAoNnqq5mWG61llnz4JUQg4EygzSZrm+Uff2W+/e575zEE6ibAdxrd/W9M9XynaQw13WP4TlO6/5u2WCf3C+R3Qy/OZQ6XDrssl/NKnxRZmZEosnJVgMjKjBeV0uF8sVfa+Axl88U+AzylQ/lir7TxGctGVmYEqHA432kUNj1jyXynyQhQ4XC+0/gvKy+55He5XJmXXHJpLueVPimyMiNRKyt/svO2GbMwXAuBZ198NSh137121VIydQoQePSp54Isg/qfIJCNFBoIXDXu1qDMGfdP0VAuNQoQ6H5Y7yDLsncWCmQjhQYCrTbrGJS5zurcZaSh31I1fvFd/WqnVhs2k0pJnhonsOyT+ruu2jVfq8YrpTwpAotXfGV8WFk57NJLpEoqK8/Q3+Vz3rIm6RCMrHSAVCoEWZkRoLLhyEplDRcqF1kpBFJRGmSlomYLlYqsFAKpKA2yUlGzBUtFVgrCVJIKWamk0YJl+iIrLxuWzwrHi4fms6JTsIVBKmRlRqLIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1k5/PJ8nh055KJ8npUp2EJkpQRMZKUERT05kJV6ei1ZKbJSkqaOXMhKHX2WrBJZKUlTRy5kpY4+S1eJrJQmWvv5kJW132PpCn2RlSOG57Mr94VD8tmFXLqPrKzMSBRZmRGgsuHISmUNFyoXWSkEUlEaZKWiZguViqwUAqkoDbJSUbMFS0VWCsJUkgpZqaTRgmX6IiuvuGKEYFXuqS644EL3YI8jkZUZm4OszAhQ2XBkpbKGC5WLrBQCqSgNslJRs4VKRVYKgVSUBlmpqNmCpSIrBWEqSYWsVNJowTJ9kZWjRl4hWJV7qsHnX+Ae7HEksjJjc5CVGQEqG46sVNZwoXKRlUIgFaVBVipqtlCpyEohkIrSICsVNVuwVGSlIEwlqZCVShotWKYvsvLKK0cJVuWe6rzzBrsHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrLzqqisFq3JPNWjQee7BHkciKzM2B1mZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZfoiK0ePvlqwKvdUAwee6x7scSSyMmNzkJUZASobjqxU1nChcpGVQiAVpUFWKmq2UKnISiGQitIgKxU1W7BUZKUgTCWpkJVKGi1Ypi+ycsyY0YJVuac655yB7sEeRyIrMzYHWZkRoLLhyEplDRcqF1kpBFJRGmSlomYLlYqsFAKpKA2yUlGzBUtFVgrCVJIKWamk0YJl+iIrx14zRrAq91QDzj7HPdjjSGRlxuYgKzMCVDYcWams4ULlIiuFQCpKg6xU1GyhUpGVQiAVpUFWKmq2YKnISkGYSlIhK5U0WrBMX2TltdeOFazKPdVZZw1wD/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1l53XXXClblnurMM89yD/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1k5fvw4warcU51xRn/3YI8jkZUZm4OszAhQ2XBkpbKGC5WLrBQCqSgNslJRs4VKRVYKgVSUBlmpqNmCpSIrBWEqSYWsVNJowTJ9kZXXXz9esCr3VKeffoZ7sMeRyMqMzUFWZgSobDiyUlnDhcpFVgqBVJQGWamo2UKlIiuFQCpKg6xU1GzBUpGVgjCVpEJWKmm0YJm+yMobb7xBsCr3VP36neYe7HEkstKxOQ89NsuMv+1+89DUUQ1GaJKVDz74oOnSpUtQ/9y5c02PHj1S6b377ruFmEsuucTcfPPNwZ/t/z/ppJNWGd++ffvUnNUcoE1W3nXXXWbnnXcOWvbiiy+ao446KrV9L7/8ciFm5MiRZvLkyQ3G9OnTxxx//PGmW7duqblqJUCTrLx02DCz7bbbBq179dVXze+GDnVq4wEHHmh69+5trhkzxsyZMycYY/9sX48fxx5zjFPOag7SJCufeOKvZunSpUG7Wrdubfbe+xdFWzdnznPm9ddfL7wfj7efP/PnL1hl/JFHHlHNl4PT3LXJyptumhh8xtjDfuaceurJqZyef/5586c//dlccMH5ibFp76eeoMoCtMnKYcMuq/t8mB90qVOnTmbo0ItLdsw1/qmnnjLjxo03w4Zdajp27FhlV0H509UkKy+88EIzb94LAaTOnXcxI0aMKAnMJX7mzJlmypSp5ve/v7V8+FU6QpOsHDx4cN2/s+cFnerSpbMZNaqhe4i3MC0+7f0qvSRSp+2LrLzpphtT51qJgFNP7VeJtE2eE1mZgnzu/EWm1xnDg6gfbtZGraycOHGi2XTTTQuC0orL9957z5x8cvKXe/tl67HHHgukZCgoo6jt67vttpuT8Gzyn4oKnlCTrBw7dqxp27ZtQVBacfn++++bAQOSdyfr0KGDmT59ukkSlLYl++yzT92X+frnfixZsgRZWcHrNK/UZ511lmneokVBUFpxueKDD8y115Z+OLUVkj26dzebNG++iqzctu66chWeedVdifNqkZVWPn722WcFQWnF5frrr1/398uuiVhnzHjIdO9+UOE9++etttrS7LDDDsFrVlYuXbqspPCsRL98yKlJVk6bdp/5oO6zJRSUVly2qPvsOeKIXye24o033jTXX1+/OqJFi+aryMq0933obyXmoElWTpgwMfjuEQpbJ9/wAAAgAElEQVRKKyLbtGljTjkl+Xuwa7wVlffcMy3IjaysxFWaX87rrhtX9713cUFQWhHZtm07c+aZyc+SS4tfsGCBGTTovKAg+/0aWZlfbyt1Zvtvp8WLFxcEpRWN7dq1K/pvp7T4tPcrVYcPeX2RlRMnTsgFx8knn5LLeaVPiqx0JKp9ZeVzzz1nhgwZYh555JGA2AEHHGCGDx9udt01+R+EVm5amWmlZNKBrEzm5ng5VkWY/c3v5ZdfHkhre1jZeNFFFxWVjPYvVCszrawsdbCysira36hJjh8/3kyaNKmwMtL+QqNv377mjDOKP3clFJU25vY77kBW/h95LbLSysbdd+9qWrZsGVS+fPlyM2vW7AZCstTFGJeTyEpjlr2zsFE/v9U06IorRga/SNtqqy2DaVvZaH+hVmzFZFhb2srJtPeriZHLXDXJyv79zzSnn35aYeXjwoULA4E9btx1iahc4kNRaXMceeRvkJUuF10Vxfz2tyeYgQPPMTvuuGMwaysbR48eU1QyusazsrKKLoIyp3rccX3rhPS5wcpte9iV3FdddbX5wx8mJWZKi097v8zpVVW4L7Lyllvq7ypt6uPEE1e9g7Wp5yBxPmSlI0XNsjJcJWllk/1yZo+k16Io7e3fVjzZ3/yFR3R8/DZwG1tMfDq2qCrCtKysDFdJ9uzZ0yxatCjoTdJr0aZZSWBXFtiVCuERHR++hqysiku97ElutvnmwW+S7W+R33n77WB80mvRxFFRaV9PkpXR28A/XLGipPgse9IeD9AgKz///HPz4IMz6lbodzfrrrtu0I2k10q1ya7EbN26VYOVldHbwNdbbz1n8enx5eA0NS0rKz/66KO6X6SNqPvl2YVm4403DtgkvZYELU1Gpr3v1IgqCtIiK+0vQU477XRzww3XN/jFSPy1sHUu8VFRacchK6vowneY6rJly4wVRVYytWrVKhiR9FqYqpx4ZKVDA6owxD7Oplev3mbq1CnBI23skfRaWFpavI0rJ18VIis5ZV9k5a233pIL2hNOODGX80qfFFnpSLSYrPz0829Mxw5bOmapzrByZWUYf8IJJxRWYoZystgzKe1t5fZweQ5mdVKsn/XCRW8G/919t12quYzUuZcrK8P4/v37F1Zinn/++caKyfD2zPCkGmXlrDn1zzs69cTjUtlXa0C5sjIuKm3dcVkZZ2FvK7eHhtvCb7rlD0Gtd91+W7VeEqnzziorw+dTlnoepZWZ9ij1HMzUiVZJwFHHHh/M9PVF9c/kq9UDWSnX2a071K/++c9Xn8ol9TCTi3yMTjst/h//+Edw63d0VaYmWfmDtTYIcK29xvcedltmSuXIR3vGcuI1ysovv1ktaMz66zSTaZCHWdLkYygww6mnxds4zbLysy++NRusu0bunb7ttt/nMofjj/9tLueVPimy0pEosvKx4DZel5WVxVZd2tWWUYEZRW9vK7/11ltNrW+wg6ycbpJWSxZbdWllQlRg2msGWen4oVVlYeXKSvt8y667755Y5ZQpU8wjDz+8ynv2tvKzzznHaNhgB1m5crVl0kXy1ltvBbeLR1dlJsVZ6fD44zPrVj3V/gY7yMqGqy2Troe0lZNp71fZx3LqdJGVDVdbhsDSZOV9991f+MVsHHL//meYvfbaK5V9NQcgK1eutgz7iKwsfUUjK1eutkRWun36+SIrJ03KZ9FA3771v4Cu9gNZ6dhBzbeBW0TlPrMySUwiK43Rchu4vWbKfWZlkphEVtZ/QGnZDbwxz6yMfoSnrazUJCs13AZue9+YZ1a6rKiMSgctslLLbeC2tzyz0vHLb0qYltvALQaXZ1BGcZUbr2llpZbdwF2fQRleN67xGldWatkNvNxnTKbFp70v8zeBn1l8uQ188uT6O52a+ujTpzbuxkNWOl452mVl2m7g8du4bbx9BmX4HEp7G/jBBx9c+LOVn9FnVNo/2/8V213csU3eh2mSlWm7gdvNDOxhNzmwh43fZZddChvw2NvA999//1U25NG4slKLrEzbDTztNu64rLTyM7o5j/2zfYZq2u7i3n+QOExQi6xM2w08fht32m3dSbuF2+foFttd3KEVVROiSVam7QZudwe3R7hbeNjEtJWTae9XzcXgOFFNsjJtd2+7O7g9wt3C0+LjiJGVjhddFYWl7e5tdwe3x4gRI4L/psWHpSMrq+giKHOqabt32+e628M+4z38t1Op3cPT8pU5vaoK90VWTpkyORduvXv3yeW80idFVqYQnTt/kel1xvAGUWeffIQ58ZjuwWvvffCF+cnO20r3xct8Vkh26dIlmNvcuXMbPF8y6ZmTVlh2717PKb6BTjSXfX/GjBk1LyptnZpkpa3XCsmdd945uAZefPHFgpgM37P/DWVl+JfufvvtF8TbzXa6detW+FmwjyEYN25cg5+NyZMnp+4e7uUPU5mT0iIrLRYrJLfdtv4z9dVXX23wfMlyZWU0l803e9YsFaLS1qpFVtparYC0z26yh32mU/T5klE5GT7jMunH75e/7BZsnBHNZeO23nprFaLS1qpJVtp6rZC0nzH2sJ85UTEZl5V2t3C783P0OOCA/c2+++4TvJT2fpkf+VUTrklW2qZYIWl357WH3a03FJPhe/a/8deKxcebjKysmsu+rIlaITlvXv1zxzt33qUgJu2f47IyfK1YvN1NfNCg8xqcv3fv3uboo+t/6V/Lh5aVlbaHVkjOnTsvaGeXLp0LYjJ8z/43lJVp8S7v1+p144usvP32qbkgPvbYXrmcV/qkyMqMRDXJyoyoGF5HQJuspOkyBDTJShliZNEkK+m2DAFtslKGmu4s2mSl7m7LVa/lNnA5YmTSJCvptgwBX2TlnXfeIVNQmVmOPvqYMkf4GY6szNgXZGVGgMqGIyuVNVyoXGSlEEhFaZCVipotVCqyUgikojTISkXNFiwVWSkIU0kqZKWSRguW6YusvOuuOwWrck911FFHrxJ8ynmjzdOzXwpe/1nXncyEKwcWTTjsmsnm7umPF95Pi3efWXmRyMryeK0SjazMCFDZcGSlsoYLlYusFAKpKA2yUlGzhUpFVgqBVJQGWamo2YKlIisFYSpJhaxU0mjBMn2Rlffcc7dgVe6p7KNFooeVj+8uXlYQlFZctm/Xygw9O/nZlgf1Gmwemlr/bFR72D8fdtDPC49CdJ9JtkhkZTZ+qp5ZmREVw+sIICu5DBpDAFnZGGq6xyArdfe/MdUjKxtDTfcYZKXu/je2emRlY8npHYes1Nv7xlbui6ycNu2expaQadwRRxzZYLyVjcPPP9F06dQheN3uyzJk5C0NhGSpE95yxwzz7LyFJVdjZppwkcHIyoxUWVmZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZfoiK++7717BqtxT/frXhxeCFy9dYfY98hzz6D1jTLvWzYPXk14rld2uxPxJ546srHRvgR+RyEo/+lAts0BWVkun/JonstKvflTDbJCV1dAlv+aIrPSrH9UwG2RlNXTJvzkiK/3rie8zQlb63iH/5ueLrLz//vtygXPYYb8Wk5V2VeU1E6eZBU9MavJaWFmZETmyMiNAZcORlcoaLlQuslIIpKI0yEpFzRYqFVkpBFJRGmSlomYLloqsFISpJBWyUkmjBcv0RVY+8MB/C1blnurQQ/+fiKx86LFZZtBlNzZYlek+i+yRyMqMDJGVGQEqG46sVNZwoXKRlUIgFaVBVipqtlCpyEohkIrSICsVNVuwVGSlIEwlqZCVShotWKYvsvKPf3xAsCr3VIcccmiD4MY8szLPFZXh5JGV7j1PjERWZgSobDiyUlnDhcpFVgqBVJQGWamo2UKlIiuFQCpKg6xU1GzBUpGVgjCVpEJWKmm0YJm+yMr/+Z8/Clblnurggw9pEJy2G7h9JqU9Jlw5MPhv/M/uZ5aNRFZm5ImszAhQ2XBkpbKGC5WLrBQCqSgNslJRs4VKRVYKgVSUBlmpqNmCpSIrBWEqSYWsVNJowTJ9kZUzZjwoWJV7qu7de6wSbAXk07NfCl7/WdedGuzsHZWT4eY7SWebOn5IYUdx99k0PhJZ2Xh2wUhkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5bpi6x8+OEZglW5pzrwwO7uwR5HIiszNgdZmRGgsuHISmUNFyoXWSkEUlEaZKWiZguViqwUAqkoDbJSUbMFS0VWCsJUkgpZqaTRgmX6IisfeeRhwarcUx1wwIHuwR5HIiszNgdZmRGgsuHISmUNFyoXWSkEUlEaZKWiZguViqwUAqkoDbJSUbMFS0VWCsJUkgpZqaTRgmX6Iiv//OdHBKtyT7Xffge4B3sciazM2BxkZUaAyoYjK5U1XKhcZKUQSEVpkJWKmi1UKrJSCKSiNMhKRc0WLBVZKQhTSSpkpZJGC5bpi6z8y1/+LFiVe6pf/Wo/92CPI5GVGZuDrMwIUNlwZKWyhguVi6wUAqkoDbJSUbOFSkVWCoFUlAZZqajZgqUiKwVhKkmFrFTSaMEyfZGVjz32F8Gq3FPts8+v3IM9jkRWZmwOsjIjQGXDkZXKGi5ULrJSCKSiNMhKRc0WKhVZKQRSURpkpaJmC5aKrBSEqSQVslJJowXL9EVWzpz5mGBV7qm6ddvHPdjjSGRlxuYgKzMCVDYcWams4ULlIiuFQCpKg6xU1GyhUpGVQiAVpUFWKmq2YKnISkGYSlIhK5U0WrBMX2TlE0/MFKzKPdXee3dzD/Y4ElmZsTlWVnI0JLDuWs3MxuuvaT7/6lvz0WdfgwcCTgTsNfP1N98G1w0HBFwI2M+aNddoxueMCyxiAgLNVl/NtNxoLbPkwy8hAgFnAm02Wdss//gr8+133zuPIVA3Ab7T6O5/Y6rnO01jqOkew3ea0v3ftMU6uV8gTz75RC5z+PnP987lvNInRVZmJIqsXBUgsjLjRaV0OF/slTY+Q9l8sc8AT+lQvtgrbXzGspGVGQEqHM53GoVNz1gy32kyAlQ4nO80/svKp59+Mpcr82c/+3ku55U+KbIyI1ErK0/odVjGLAzXQuDWqfcHpZ51Sm8tJVOnAIFrJ0wJslw/ephANlJoIHD6wKFBmbOfekRDudQoQKDrXgcEWf694m2BbKTQQGC95psHZW6w5jcayqVGIQKffr1GkKn1Rj8QykiaWiew9OP/BCW2a75WrZdKfUIEfLkN/G9/e0qoovLS7LnnXuUN8DQaWZmxMcjKjACVDUdWKmu4ULnISiGQitIgKxU1W6hUZKUQSEVpkJWKmi1YKrJSEKaSVMhKJY0WLNMXWfnMM38TrMo91R577Oke7HEksjJjc5CVGQEqG46sVNZwoXKRlUIgFaVBVipqtlCpyEohkIrSICsVNVuwVGSlIEwlqZCVShotWKYvsnLWrGcEq3JPtfvue7gHexyJrMzYHGRlRoDKhiMrlTVcqFxkpRBIRWmQlYqaLVQqslIIpKI0yEpFzRYsFVkpCFNJKmSlkkYLlumLrJw9+++CVbmn6tr1p+7BHkciKzM2B1mZEaCy4chKZQ0XKhdZKQRSURpkpaJmC5WKrBQCqSgNslJRswVLRVYKwlSSClmppNGCZfoiK+fMmS1YlXuq3Xbr6h7scSSyMmNzkJUZASobjqxU1nChcpGVQiAVpUFWKmq2UKnISiGQitIgKxU1W7BUZKUgTCWpkJVKGi1Ypi+y8vnn5whW5Z7qxz/ezT3Y40hkZcbmICszAlQ2HFmprOFC5SIrhUAqSoOsVNRsoVKRlUIgFaVBVipqtmCpyEpBmEpSISuVNFqwTF9k5dy5zwtW5Z6qS5cfuwd7HImszNgcZGVGgMqGIyuVNVyoXGSlEEhFaZCVipotVCqyUgikojTISkXNFiwVWSkIU0kqZKWSRguW6YusfOGFuYJVuafaZZcu7sEeRyIrMzYHWZkRoLLhyEplDRcqF1kpBFJRGmSlomYLlYqsFAKpKA2yUlGzBUtFVgrCVJIKWamk0YJl+iIrX3rpBcGq3FPttNMu7sEeRyIrMzYHWZkRoLLhyEplDRcqF1kpBFJRGmSlomYLlYqsFAKpKA2yUlGzBUtFVgrCVJIKWamk0YJl+iIr589/SbAq91SdOu3kHuxxJLIyY3OQlRkBKhuOrFTWcKFykZVCIBWlQVYqarZQqchKIZCK0iArFTVbsFRkpSBMJamQlUoaLVimL7Ly5ZcXCFblnmqHHXZ0D/Y4ElmZsTnIyowAlQ1HVipruFC5yEohkIrSICsVNVuoVGSlEEhFaZCVipotWCqyUhCmklTISiWNFizTF1m5cOHLglW5p+rYcQf3YI8jkZUZm4OszAhQ2XBkpbKGC5WLrBQCqSgNslJRs4VKRVYKgVSUBlmpqNmCpSIrBWEqSYWsVNJowTJ9kZWvvLJQsCr3VNtt19E92ONIZGXG5iArMwJUNhxZqazhQuUiK4VAKkqDrFTUbKFSkZVCIBWlQVYqarZgqchKQZhKUiErlTRasExfZOWiRf8UrMo9VYcOP3IP9jgSWZmxOcjKjACVDUdWKmu4ULnISiGQitIgKxU1W6hUZKUQSEVpkJWKmi1YKrJSEKaSVMhKJY0WLNMXWfnaa68KVuWeaptttnUP9jgSWZmxOcjKjACVDUdWKmu4ULnISiGQitIgKxU1W6hUZKUQSEVpkJWKmi1YKrJSEKaSVMhKJY0WLNMXWfn6668JVuWeauutt3EP9jgSWenQnFPOG22enl2/7fzPuu5kJlw5sDBKk6wcO3as2W677YLaX3nlFTNgwICi9E455RRz6KGHrvL+gQce2OA1G3P44YebXr16OXSi+kO0ycoRV1xhOnToEDRu0aJF5sILLnBqYvcePUzfvn3NVVdeaWbPnm222GILM3rMmMSxR9RdP7V+aJKVp/Y7zWy++eZBS99++21z0403FG1v9+49zH/tuWfh/Xh8/P0wcMiFbtdhNV9XmmTl9OnTzTvvvBu0a7PN2puePXsWbd3MmU+Yl19e+bDzpPhy8lXzNRKfuzZZee211wXfZexhv9ucddaZJduZFj906O/M8uXLnfPVwrWjTVZecskl5sUX6/89sPPOOxn751JHqfhp0+41d955Z2G4S75auGZsDZpk5QUXXGjmzZsXtK5z587miitGlGyjS/zjj880U6ZMMbfd9vtauSRS69AkKwcPHmzmzq2/Zrp06WxGjRpVkk9afNr7qfCrNMAXWfnmm2/kQnDLLbfK5bzSJ0VWphAdds1k8+7iZQVBacVl+3atzNCz+wQjtcjKIUOGmFatWhUEpRWXy5YtM8OHD08kaGXl9ttvX1Ro7rHHHmbo0KHB2A8++ABZKf2T7UG+gQMHmhYtWxYEpRWXH9T9Q2706NElZ2dF5SGHHGKaN29ekJVJA6zMbNGiRWo+D1BknoIWWXn0MceajTbaqCAorbj8+OOPzZ133J7I0L4flZnxeCsrN68T3aWEZ+bmeJpAi6y08vGTTz4uCEorGjfccCPTrdveiZ2ZMmWq6d175S/H7J+3376j2W233YL4cvN52v5GTUuTrLz99jsCsRgKSisiW9b9fXXsscckskuLt6Jyjz1+asJfyNo/WwFaLF+jGuThIE2y8sYbbzRLliwpCEorItu0aWP69euX2Jm0eDs+KjvT8nnY/kZPSYustJ8r77//fkFQWhHZtm3bor8YSYtfsGCBOffcQQF3mwdZ2ehL0NuB9t/XixcvLghKKxrbtWtX9N/TafFp73sLQmBivsjKf/3rLYFqyk+xxRY/LH+QhyOQlSlNOajXYDP8/BNNl071q8Pmzl9khoy8xTw0tf63HFpk5dSpU831119vnnnmmaBuKxtPP/30opIxTVaG2FlZ6eGngtCUJkyc+P/bu/cYuar7DuCXNyQ8Ai42YKIgRS4VBgkU1eEPWkWBPypSSoIUIlLHkBYZkaa0vEOBSIUQwrulaZARVQ21IgVSCm2ASjFR1PqPYqhAwYiAhUR5Y4IdXuEN3TObux4Pszt3ds7unJnf5/5j2D33zDmf3/Hs+jvn3lv90003tXZGpmPZsmXVn596anXaypXTvkIdVKY2t/34xzOGlen7Z591VvXUU09lGnG53UQJK8//1gXVf/z7nVM73w455JDquD85vrrie5c3Kk5nOCmsrKr1//2fjexGtVEKG4855ujWL/PpSL/kr1177zaB5Exze+CBB6pnn312KuwctL9RdWy9R//BH7WG/8bmp0d5Go3GnsLEk09eUX3605OXST3xxBPVzTffUl1yyd92PX+m9unca665tvrBD/5x6txuX2s0sBFrFCmsPH3iw7EzzvjL1gfx6Xj00Uer66//h+qGaXb/99s+7bR85JENPXdrjtgS6TrcKGHl17/+ZxPh4tnV0qVLWw4pbLz66mumDRmbtrezchz+FnSfw8knn1Kde+451aGHHtpqsGHDhuqqq66e+Pm0uusJvdr3+v74Sk78Prj57eqABbsNfYrPPDOc36kOPHDyKrVRP4SVM1Tw+U2bq2NOPKtae+u11f4L92m17PxahLDyoIMOmvhl7IbWp8dPPvlky6Hb19opOy8Dn273pLBy1N9Cuo+/vmy7PUzs9rX2s9uDyvT1mcLKSLsqk0WEsDLtUDnjr/66uv7v/661eyUd3b4209+YFHam8Lreidl5Gfirr77aOPgc9b+ZEXZWvvba69Utt9xSrVixotpjj91bJev2tZlqmXZiLl68uLWzMkd/o7xuooSVmzdvri666OLqO9+5tLWDPx3dvlbXslf7LVu2fCSsnKm/UV4jnWOPElamXbgrV55W3XjjqtYO3HR0+1rt02/7dF4KN9Ol4NPt1ByndRMhrNy06aWJD0ROngiZbq4WLty3Vb5uX6vr2k97YeU4/W3YOpdNmzZNbAL6WrVmzb9MrJmFv10zH/3a1jUzc/vUrp/+xk21lLDyuecmb1M038cBByye75eck9cTVs7A2iSsTKd33odxTio1xE5nE1Z2DjdtQ09H530uo4WV99xzT8th3O+z2G9Y2RlUJqOZwspIuypri/TnON9rcZCwMoWUe+65Z897XKbLxNMR4bLwy747uRv1jjv+bYg/Peb2pQcNF9OuyvvuWz9xlcDkuhi0v7md7dz3/sUvfqn1Ihs3Pj73LzbEV+gVPtYBZj3EJu2/8Y2/qI477o+nfh+MElYuWfK7v/278+oQKzr3L91v+NhP+xRSpg/oIt2zco899mwV7b333p374g3pFfoJH9MQ+2kfMazcccedWpX88MMPhlTRuX9ZYWVe4+222z5vh7Ps7YUXnp/lmYOdtt9+k1ccjfohrJyhgsLKSZwcYWV9j8roD9gRVl7b9dLtdH/LIyduLdDtWL16dXXXT34y9a3UNh297n056m/O7eNP4Ww6hJUzV7XznpedrdNl5X868an1ODvWcxZWbt1t2W3VPP7449VPf7q2567MfndqjvL7jrBy292WdS2bhJV1m876t18aPsprY7qxCyu33W1ZO/UTVtbndN7jchzXSz0nYeXW3Za1ibBy5hUvrNy623LrmrGzcqZVU0pY+eKLLwzl7XzRov2G8rq5X1RY2UPUPSsngfq9Z2Unq7ByUiTS08Bnc8/K9nXTbWdlr0vJc79BltJfhMvAk/Wg96zsFUb2+n4p9c4xjgiXgSen2dxjsnNHZbv3bPrLUa8S+ohyGXiyznnPym61Sx9Mbt68xQN2SljYmcbQ7z0o+22f7oF54YUXVbff/q+ZRlxuNxEuA0/6Te9BWVeqafuIOyujPA2833tM9mrf6/vlvksMPrJSLgN/6aVNg09mFj3su+/krQRG/RBW9qigp4FPAvV6GnjnZd4p3Fy+fOsTV9P/p1/EOp8eHu0y8EhhZa+ngaeng6fjby64oOvfwm5hZcRdlQknSljZ62ngnZdxp3Cz/eE7vb7feU/LUf8BPtP4o4SVvZ7ene5JmY7jjz++9Wfn/3ca9upvnNdMpLCy19O901N501E/LbxX+/Z1UT9cp/2emOO6bqLcszLVr8nTvVO7+gnfvdqnMLP94Tz1ee1PCB/XdRMlrOz1dO/0dPB0XH75d1t/9mpfrwdh5bj+zaiqXk/vTk8HT8cVV0w+6LdX+17fH1/Jch6w8/LLvxoK84IFk/dXHvVDWNmggqedd021bv3DrZZHLTusWnXl5GWo6YjwgJ16rukN7+CDD27972OPPbbN/Sc7w8r2tqn9unXrtgkq652W7fx33HFHtWrVqgYVGd0mkcLKVKUUSC5ZsqRVsI0bN24TTPYbVqb7WqYH60R5Anj7Ko8SVqY5p8Dxk5+cfILd008/vc39JTvDyPa207Wv+0rfT09VrB++M7rvIs1GHiWsTBopgHzmmckbmB944OKpYLL+XvozhZX1Jd3dBE844UtTTxSfqb9m+qPZKlJYmSqUgoH0u0w60u82dTBZfy/92fm16dqvX39/lW5ZUh/jfvl3Pc9IYWWacwoSf/GLyX8PdN5jslvY2Kt93Ve3/kbzXaTZqKOElUkjBZIPPfRQC+bwww+fCibr76U/67CyV/v0NPFzzjl3G+QVK75WnXTSSc3gR7hVlJ2VqUQpkHzwwck1c8QRh08Fk/X30p91WNmrfZPvj/CymHHopeys3LJl81CI99578gGCo34IKwesYKSwckAqp08IRAsrFT2PQKSwMo+YXiKFlaqdRyBaWJlHLXYv0cLK2NXON/tIYWU+tdg9RQorY1c63+xLCStfeeXX+SbVR0977fWJPlqX21RYOWBthJUDAgY7XVgZrOCZpiuszAQZqBthZaBiZ5qqsDITZKBuhJWBip1xqsLKjJhBuhJWBil0xmmWEla+9tqrGWfVvKv6QWbNzyizpbBywLoIKwcEDDtFYxwAABDsSURBVHa6sDJYwTNNV1iZCTJQN8LKQMXONFVhZSbIQN0IKwMVO+NUhZUZMYN0JawMUuiM0ywlrHzjjdczzqp5Vx//+O7NGxfcUlg5YHGElQMCBjtdWBms4JmmK6zMBBmoG2FloGJnmqqwMhNkoG6ElYGKnXGqwsqMmEG6ElYGKXTGaZYSVr755m8yzqp5V7vt9rHmjQtuKawcsDjCygEBg50urAxW8EzTFVZmggzUjbAyULEzTVVYmQkyUDfCykDFzjhVYWVGzCBdCSuDFDrjNEsJK996682Ms2re1a677ta8ccEthZUDFkdYOSBgsNOFlcEKnmm6wspMkIG6EVYGKnamqQorM0EG6kZYGajYGacqrMyIGaQrYWWQQmecZilh5TvvvJ1xVs272nnnXZo3LrilsHLA4ggrBwQMdrqwMljBM01XWJkJMlA3wspAxc40VWFlJshA3QgrAxU741SFlRkxg3QlrAxS6IzTLCWsfO+9dzPOqnlXO+64U/PGBbcUVg5YHGHlgIDBThdWBit4pukKKzNBBupGWBmo2JmmKqzMBBmoG2FloGJnnKqwMiNmkK6ElUEKnXGapYSVH3zwfsZZNe9q++13aN644JbCygGLI6wcEDDY6cLKYAXPNF1hZSbIQN0IKwMVO9NUhZWZIAN1I6wMVOyMUxVWZsQM0pWwMkihM06zlLAy45RCdiWsHLDswsoBAYOdLqwMVvBM0xVWZoIM1I2wMlCxM01VWJkJMlA3wspAxc44VWFlRswgXQkrgxQ64zSFlRkxh9iVsHJAfGHlgIDBThdWBit4pukKKzNBBupGWBmo2JmmKqzMBBmoG2FloGJnnKqwMiNmkK6ElUEKnXGawsqMmEPsSlg5IL6wckDAYKcLK4MVPNN0hZWZIAN1I6wMVOxMUxVWZoIM1I2wMlCxM05VWJkRM0hXwsoghc44TWFlRswhdiWsHBBfWDkgYLDThZXBCp5pusLKTJCBuhFWBip2pqkKKzNBBupGWBmo2BmnKqzMiBmkK2FlkEJnnKawMiPmELsSVg6IL6wcEDDY6cLKYAXPNF1hZSbIQN0IKwMVO9NUhZWZIAN1I6wMVOyMUxVWZsQM0pWwMkihM05TWJkRc4hdCSsHxBdWDggY7HRhZbCCZ5qusDITZKBuhJWBip1pqsLKTJCBuhFWBip2xqkKKzNiBul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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(180):\n", " status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n", "\n", " if i<2 or i==6 or i>=179:\n", " bio.describe_state()\n", " fig = bio.heatmap_single_chem(chem_label=\"A\", title_prefix=\"Diffusion\", height=400)\n", " fig.show()" ] }, { "cell_type": "markdown", "id": "fc7bf612-a0f4-43d0-9606-93e2395ef999", "metadata": {}, "source": [ "# All bins now have essentially uniform concentration. The diffusion has reached equilibrium\n", "\n", "Notice, throughout the simulation, the continued symmetry across the mid-row (ybin 2)." ] }, { "cell_type": "markdown", "id": "41d73157-b522-476d-bf3b-54789511228a", "metadata": {}, "source": [ "**Mass conservations**: the initial \"10. units of concentration\" are now uniformly spread across the 40 (5x8) bins, leading to a near-constant concentration of 10./40" ] }, { "cell_type": "code", "execution_count": 15, "id": "84026abc-687d-409a-a58e-2f71d5e5ecd3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.25" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "10./40" ] }, { "cell_type": "code", "execution_count": 16, "id": "f7f05a75", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Mass conservation can also be verified as follows:\n", "bio.check_mass_conservation(chem_label=\"A\", expected=10.)" ] }, { "cell_type": "code", "execution_count": null, "id": "f701facc-9ef9-4522-b332-4c2ec2db269b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "bc2b15a3-abdc-41ed-9d00-9a2910881fb8", "metadata": {}, "source": [ "## Visualization of time changes at particular bins" ] }, { "cell_type": "markdown", "id": "f1d70065-f26f-4820-bb1f-8f6ec1f27b2d", "metadata": {}, "source": [ "#### Instead of visualizing the entire system at a moment of time, like in the previous heatmaps, let's now look at the time evolution of the (only) chemical `A` at either of the bins whose history we requested prior to running the simulation" ] }, { "cell_type": "code", "execution_count": 17, "id": "93617593-3f3e-431f-a005-4c17719b9dbd", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEA
00.39.762391
10.69.531824
20.99.308067
31.29.090898
41.58.880100
.........
59681808.70.251401
59691809.00.251400
59701809.30.251399
59711809.60.251398
59721809.90.251396
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" ], "text/plain": [ " SYSTEM TIME A\n", "0 0.3 9.762391\n", "1 0.6 9.531824\n", "2 0.9 9.308067\n", "3 1.2 9.090898\n", "4 1.5 8.880100\n", "... ... ...\n", "5968 1808.7 0.251401\n", "5969 1809.0 0.251400\n", "5970 1809.3 0.251399\n", "5971 1809.6 0.251398\n", "5972 1809.9 0.251396\n", "\n", "[5973 rows x 2 columns]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.conc_history.bin_history(bin_address=(1,2)) # The bin where the initial concentration was applied" ] }, { "cell_type": "code", "execution_count": 18, "id": "6a5cf458-b194-4cab-a294-1a6495b3f58a", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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7oz+Ke/feA23hV+f6ylU5Vz0Kv2q97HnZa+B5K5a61SvPrZxNlT5Zfr3u+p6vVfX1tUp/ngMBCEAAAhCAAAQgAIEmBJCVBXqdTqvLhN6Tf/XLmQv4Zx8Gqt7JuniH0rIPQGU1i+Ilf1OT4pFc/sPGX/yf/4tbM7Fy5jpmVU5f7na6cacPnWVHouZPL86fBlynvgTXTj8kVXhXlZVZLvn9Ib8/9XPNyvx+l88xm6nK3cCzGtnd5DPBUZZPcR/txC2T+p3uFF0UMmXio84+UVdW+ud3+uAtISuzfm8dPHTGEaVF9r3ETDHP4ing3dbVqXZ2/cb8/lMUxXXEUqdTbn3NbB+TkJV+fb3WUnb0Yv7IO8lrVhYvU1GWRzeZ2c8v8jqvwVVOo8/P0Gk9Zdd2rvMzVUeIdfvDXNl82Rqrvo5VZV5FVmZc6sjobu83qs5W9rwqN9MpbldljU1mYlsIQAACEIAABCAAAQjUIYCs7EAr/wE3/5SyIy6L15QqflCqc3pw1qtYs+wDUNn14/LXRKsq2bKexTVncqPbqdLFax96UeeFhT/CpXhjhLr1Jbh2+uHoxrsOx+I167x88vLYny7dr6zMhJcX5dnD1/I3tvGPorCusu+W3YCk140s8uw63Ywqf6TT37nisplNOv0M1N0n6oiOYhaZRK4jVqoeWdnpZyj7etWbZhRzaXIqfD6vshuwVBF3vY5ULP48ZTWlZKXv12stxX3Kvx4//8KvnP/5qbLmOr9A88+tcpp3p5+Pfnv67eq8Bud/Z/Q64i5/ZJ6X8NmjbLs6P1N1foZ73T2+7Bqg2RrrSMNO/DvdqMk/v/hHQP9a0YtpWZ86PKruJ51+B2Tbl3GretR01Rl4HgQgAAEIQAACEIAABJoQQFY2oce2EEhIoO5pnQlHpTUEIACBvghIyLy+BumyUbdT5rv16nZ0eegZu9UrOysgZn96QQACEIAABCAAAQhAoEgAWck+AQHlBPwHWn9kWP46kxwFozw0xoMABIIQqHJ6fZBGDYp0u/5ut7KhLwvQ7xI6HSnfbz22gwAEIAABCEAAAhCAQFMCyMqmBNkeAsIEiqd5Zu2qnlosPB7lIQABCIgSyE5rlrh5TojBvXT8o7/7+zM3rKpSs+x6o1W2C/2c7BIodS4DEnoG6kEAAhCAAAQgAAEIQKBIAFnJPgEBCEAAAhCAAAQgAAEIQAACEIAABCAAAQioIICsVBEDQ0AAAhCAAAQgAAEIQAACEIAABCAAAQhAAALISvYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAQAUBZKWKGBgCAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQFayD0AAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIqCCArVcTAEBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgACykn0AAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQUEEAWakiBoaAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEkJXsAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIAKAshKFTEwBAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIICsZB+AAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEVBBAVqqIgSEgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABZCX7AAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIKCCALJSRQwMAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCCAr2QcgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABFQSQlSpiYAgIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAWck+AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCKgggKxUEQNDQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAshK9gEIQAACEIAABCAAAQhAAAIQgAAEIAABCEBABQFkpYoYGAICEIAABCAAAQhAAAIQgAAEIAABCEAAAhBAVrIPQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAioIICtVxMAQEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAALKSfQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBQQQBZqSIGhoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAASQlewDEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgAoCyEoVMTAEBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggKxkH4AABCAAAQhAAAIQgAAEIAABCEAAAhCAAARUEEBWqoiBISAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAFkJfsABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgoIIAslJFDAwBAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIICvZByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEVBJCVKmJgCAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQABZyT4AAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIqCCArFQRA0NAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACyEr2AQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQEAFAWSlihgYAgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEBWsg9AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACKgggK1XEwBAQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAAspJ9AAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEFBBAFmpIgaGgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJCV7AMQgAAEIAABCEAAAhCAAAQgAAEIQAACEICACgLIShUxMAQEIAABCEAAAhCAAAQgAAEIQAACEIAABCCArGQfgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABFQQQFaqiIEhIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAWQl+wAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCgggCyUkUMDAEBCEAAAhCAAAQgAAEIQAACEIAABCAAAQggK9kHIAABCEAAAhCAAAQgAAEIQAACEIAABCAAARUEkJUfxLDz6efctu8+7nZuv/+sYG6780H3i+dfbH/96isuc996YMvMc/a+fUxFkAwRn8Do7Flu6Tnj7sA7x+M3p6MKAksWznEnJ0+5oydOqZiHIeISGJk1y6340Lj7zUFeA+KS19Nt0fwxN336tHvv2JSeoZgkKoHVy+Y53gtGRa6q2cJ5o87/Ljh8dFLVXAwTj8B5S+e6A7890f5dwGP4CMyfO+rmtD4TvnOE14DhS//9Fa9YMtcdfPeEmzp19muAf4/Ao38CQy8rX3jpFbfxjvvaBC88f+VZsvJrW7/v9ux7c0ZQenE5sWq5u2fTze1teIPa/85nfUtkpfUEm8+PrGzO0HIFZKXl9MLMjqwMw9FyFWSl5fSaz46sbM7QegVkpfUEm82PrGzGbxC2RlbKpTj0sjJD2+nIyvUb73L3feUWd/mla9tP9XLz7m88MiM1kZVyO6f2yshK7QnJz4eslGesuQOyUnM6cWZDVsbhrLkLslJzOvKzISvlGWvvgKzUnpDsfMhKWb4WqiMr5VJCVn7AtkxW7jtw0F27YbN7asdDbtWKpe1nFr+GrJTbObVXRlZqT0h+PmSlPGPNHZCVmtOJMxuyMg5nzV2QlZrTkZ8NWSnPWHsHZKX2hGTnQ1bK8rVQHVkplxKysqGs5DpVcjun9sojI87NnTPqjh7nWmXas5Kab3zObDc9Pe0mp7hOkRRjzXVblylz/k3qEa5XqDkm0dnGx0acv0zZyalp0T4U10vAyyreC+rNR3qyOaMjzv8uODHJa4A0a631F7ReA/xnAS5ZqTUh2bnGWq8BI7wGyEJWXt1/Fjh+cqr1mfDsQf17BB79E0BWNpSVXFC7/53P+pb+qKr547Pde8hK61H2Pf+8lqz0F1OePMWHlL4hGt5wlpvlFs6b7d5FVhpOsdno42Oz3enW/51EVDQDaXhrf3Qt7wUNB9hw9DmtP1j43wUnWjfb4zGcBM5p/8HiVPt3AY/hI+Bl5WjLVh47yWvA8KX//ooXtmSlv9lq2U22/HsEHv0TQFZ2kZX+W1yzsv+da9C35DTwQU+49/o4Dbw3o0F+BqeBD3K61dbGaeDVOA3yszgNfJDT7b02TgPvzWjQn8Fp4IOecPf1cRr4cOfvV89p4HL7ALKyh6zkbuByO5/1yshK6wk2nx9Z2Zyh5QrISsvphZkdWRmGo+UqyErL6TWfHVnZnKH1CshK6wk2mx9Z2YzfIGyNrJRLcehlpb+798Y77juD8KYvfdbd8rnPzHzttjsfdL94/sX2v6++4jL3rQe2zHzvb+36lXvqvAvlEqKyWgLISrXRRBsMWRkNtcpGyEqVsUQdClkZFbfKZshKlbFEGwpZGQ212kbISrXRRBkMWRkFs+omyEq5eIZeVjZFO+uF/+D2rFnbtAzbGySArDQYWuCRkZWBgRorh6w0FpjAuMhKAajGSiIrjQUWeFxkZWCgBsshKw2GFnBkZGVAmEZLISvlgkNWNmTrZeXL51/sFvlbQ/MYKgLIyqGKu3SxyMrh3geQlcOdv189spJ9AFk53PsAsnK48/erR1YO9z6ArBzu/P3qkZVy+wCysiFbLyufXXWRu2CMOz01RGluc2SluciCD4ysDI7UVEFkpam4RIZFVopgNVUUWWkqruDDIiuDIzVXEFlpLrKgAyMrg+I0WQxZKRcbsrIhWy8rn1y1xl0yNt6wEptbI4CstJZY+HmRleGZWqqIrLSUlsysyEoZrpaqIistpRV+VmRleKbWKiIrrSUWdl5kZVieFqshK+VSQ1Y2ZOtl5WMrJ9y68fkNK7G5NQLISmuJhZ8XWRmeqaWKyEpLacnMiqyU4WqpKrLSUlrhZ0VWhmdqrSKy0lpiYedFVoblabEaslIuNWRlQ7bIyoYADW+OrDQcXqDRkZWBQBotg6w0GlzAsZGVAWEaLYWsNBpcoLGRlYFAGi6DrDQcXoDRkZUBIBovgayUCxBZ2ZCtl5WPLl/trpu3oGElNrdGAFlpLbHw8yIrwzO1VBFZaSktmVmRlTJcLVVFVlpKK/ysyMrwTK1VRFZaSyzsvMjKsDwtVkNWyqWGrGzI1svKrUtXug0LFzWsxObWCCArrSUWfl5kZXimlioiKy2lJTMrslKGq6WqyEpLaYWfFVkZnqm1ishKa4mFnRdZGZanxWrISrnUkJUN2XpZee+S5e7WRUsaVmJzawSQldYSCz8vsjI8U0sVkZWW0pKZFVkpw9VSVWSlpbTCz4qsDM/UWkVkpbXEws6LrAzL02I1ZKVcasjKhmy9rNyyeKnbvHhZw0psbo0AstJaYuHnRVaGZ2qpIrLSUloysyIrZbhaqoqstJRW+FmRleGZWquIrLSWWNh5kZVheVqshqyUSw1Z2ZAtsrIhQMObIysNhxdodGRlIJBGyyArjQYXcGxkZUCYRkshK40GF2hsZGUgkIbLICsNhxdgdGRlAIjGSyAr5QJEVjZk62XlhgWL3NZlKxtWYnNrBJCV1hILPy+yMjxTSxWRlZbSkpkVWSnD1VJVZKWltMLPiqwMz9RaRWSltcTCzousDMvTYjVkpVxqyMqGbJGVDQEa3hxZaTi8QKMjKwOBNFoGWWk0uIBjIysDwjRaCllpNLhAYyMrA4E0XAZZaTi8AKMjKwNANF4CWSkXILKyIVsvK6+bv9A9eu6qhpXY3BoBZKW1xMLPi6wMz9RSRWSlpbRkZkVWynC1VBVZaSmt8LMiK8MztVYRWWktsbDzIivD8rRYDVkplxqysiFbLyvXzZ3vHlsx0bASm1sjgKy0llj4eZGV4ZlaqoistJSWzKzIShmulqoiKy2lFX5WZGV4ptYqIiutJRZ2XmRlWJ4WqyEr5VJDVjZki6xsCNDw5shKw+EFGjkBvPQAACAASURBVB1ZGQik0TLISqPBBRwbWRkQptFSyEqjwQUaG1kZCKThMshKw+EFGB1ZGQCi8RLISrkAkZUN2XpZecHYHPfsqgsbVmJzawSQldYSCz8vsjI8U0sVkZWW0pKZFVkpw9VSVWSlpbTCz4qsDM/UWkVkpbXEws6LrAzL02I1ZKVcasjKhmyRlQ0BGt4cWWk4vECjIysDgTRaBllpNLiAYyMrA8I0WgpZaTS4QGMjKwOBNFwGWWk4vACjIysDQDReAlkpFyCysiFbLyv9Y8+atQ0rsbk1AshKa4mFnxdZGZ6ppYrISktpycyKrJThaqkqstJSWuFnRVaGZ2qtIrLSWmJh50VWhuVpsRqyUi41ZGVDtsjKhgANb46sNBxeoNGRlYFAGi2DrDQaXMCxkZUBYRothaw0GlygsZGVgUAaLoOsNBxegNGRlQEgGi+BrJQLEFnZkO3if/+SOzw97V4+/2K3aGSkYTU2t0QAWWkpLZlZkZUyXK1URVZaSUpuTmSlHFsrlZGVVpKSmRNZKcPVUlVkpaW0ws+KrAzP1FpFZKVcYsjKhmzXvPiye31qsnWDnYtaN9oZa1iNzS0RQFZaSktmVmSlDFcrVZGVVpKSmxNZKcfWSmVkpZWkZOZEVspwtVQVWWkprfCzIivDM7VWEVkplxiysiHbS3f9v27XyRPusZUTbt34/IbV2NwSAWSlpbRkZkVWynC1UhVZaSUpuTmRlXJsrVRGVlpJSmZOZKUMV0tVkZWW0go/K7IyPFNrFZGVcokhKxuy/f2X/7N75vhRZGVDjhY3R1ZaTC3szMjKsDytVUNWWkss/LzIyvBMrVVEVlpLLOy8yMqwPC1WQ1ZaTC3czMjKcCytVkJWyiWHrGzINpOVjy5f7a6bt6BhNTa3RABZaSktmVmRlTJcrVRFVlpJSm5OZKUcWyuVkZVWkpKZE1kpw9VSVWSlpbTCz4qsDM/UWkVkpVxiyMoKbNdvvMu99sb+mWfu+tn3Zv77pv/0qttx5LDbunSl27BwUYVqPGVQCCArByXJ/teBrOyf3SBsiawchBSbrQFZ2YzfIGyNrByEFPtfA7Kyf3aDsiWyclCS7G8dyMr+uA3SVshKuTSRlT3Y3nbng25i1XJ3z6ab28/82tbvuz373nTfemBL+99f+vVu953D77h7lyx3ty5aIpcUldURQFaqiyT6QMjK6MhVNURWqoojyTDIyiTYVTVFVqqKI/owyMroyNU1RFaqiyTqQMjKqLhVNkNWysWCrOzB1h9VeccXbnDrr7my/cydTz/ntn33cbdz+/3tf/+j/+8N9+Chg27L4qVu8+JlcklRWR0BZKW6SKIPhKyMjlxVQ2SlqjiSDIOsTIJdVVNkpao4og+DrIyOXF1DZKW6SKIOhKyMiltlM2SlXCzIyh5sH/nBT9zWb//IbfrSZ90tn/uM80dafuyjH27/d15W+qMq/dGVPIaHALJyeLLutFJk5XDvA8jK4c7frx5ZyT6ArBzufQBZOdz5+9UjK4d7H0BWDnf+fvXISrl9AFnZg+2+AwfdtRs2uwvPXzlz3cr8NSv/fN9b7vbf7HV/vGixe3jVarmkqKyOwMjILDdvzmx35PiUutkYKA6Bua38T02fdpNT03Ea0kUVgVmzZrkFc2e7947xGqAqmIjDjI/Ndqdb/3dykteAiNhVtTpn/ph79+ikqpkYJh6BOWMjblbr/05MnorXlE6qCHhhfeT4KXf69GlVczFMHAJjoyNudusz4fGTvAbEIa6vy4K5o+5YK//p1mfC4sO/R+DRPwFkZQ92l3zi8277trvd5ZeubT8zO9IyE5b/7M3fus+98br7b89Z5H4wcX7/SbClOQKt30tu3rh/g4KoMBdeoIHbsvLUtJs8xRvUQEhNlWm9BLgFrQ8pyEpTsQUddrwlKvzn05P8wSIoV0vFzmm9BrzLHywsRRZ01jktUdH6u1VLVvIHi6BgDRVry8rWawDvBA2FFnDUtqxsvQYc5zUgIFVbpdqy8sSUK3GVzr9H4NE/AWRlF3bZUZVP7XjIrVqxtP3M4tf+771vuxv373Hr5s53j62Y6D8JtjRHgNPAzUUWfGBOAw+O1FRBTgM3FZfIsJwGLoLVVFFOAzcVV/BhOQ08OFJzBTkN3FxkQQfmNPCgOE0W4zRwudiQlT3Y+iMrb7r+kzN3A/dHVj6+8+czN9hBVsrtnNorIyu1JyQ/H7JSnrHmDshKzenEmQ1ZGYez5i7ISs3pyM+GrJRnrL0DslJ7QrLzIStl+VqojqyUSym6rPR3137tjf2lK8pfC1JuyfUre2GZPfy1K7M7gfuvPfebw+6qfa+6C0bH3LOrL6pfnC3MEkBWmo0u2ODIymAoTRZCVpqMLejQyMqgOE0WQ1aajC3Y0MjKYCjNFkJWmo0uyODIyiAYTRdBVsrFF1VW+jtpT6xaPnOUotyy4lX+1ZtH3Efe+LVbNDLiXj7/4niN6ZScALIyeQTJB0BWJo8g6QDIyqT4VTRHVqqIIekQyMqk+JM3R1YmjyD5AMjK5BEkHQBZmRS/iubISrkYosrK4s1q5JYVr/Let4+5id2vtBvuWfP+TXh4DAcBZOVw5NxtlcjK4d4HkJXDnb9fPbKSfQBZOdz7ALJyuPP3q0dWDvc+gKwc7vz96pGVcvsAsrIhWy8r/ZGVh6en20dW+iMseQwHAWTlcOSMrCTnTgSQlewbyEr2AWTlcO8DyMrhzh9ZSf7ISvYBZKXcPhBVVvrTwK//9NVu/TVXyq0ocmUvK6/a+6p7fWrSPbvqInfB2FjkCWiXigCyMhV5PX05slJPFikmQVamoK6rJ7JSVx4ppkFWpqCupyeyUk8WqSbhyMpU5HX0RVbqyCHlFMhKOfpRZeULL73i7v7GI2fcoEZuaXEqe1l544E97pnjR91jKyfcuvH5cRrTJTkBZGXyCJIPgKxMHkHSAZCVSfGraI6sVBFD0iGQlUnxJ2+OrEweQfIBkJXJI0g6ALIyKX4VzZGVcjFElZX5u2qXLUnr3cC74UdWyu2c2isjK7UnJD8fslKeseYOyErN6cSZDVkZh7PmLshKzenIz4aslGesvQOyUntCsvMhK2X5WqiOrJRLKaqslFtGuspeVn7xrX3uiaPvuUeXr3bXzVuQbhg6RyWArIyKW2UzZKXKWKINhayMhlptI2Sl2miiDYasjIZaZSNkpcpYog6FrIyKW10zZKW6SKIPhKyUQ46sbMjWy8pNb+93O44cdluXrnQbFi5qWJHNrRBAVlpJSm5OZKUcWwuVkZUWUpKdEVkpy9dCdWSlhZTkZkRWyrG1UhlZaSUpmTmRlTJcLVVFVsqlFV1W+utWbrzjvjNWtH3b3e7yS9fKrVKwspeVDx162z146KDbsnip27x4mWA3SmsigKzUlEaaWZCVabhr6Yqs1JJEujmQlenYa+mMrNSSRJo5kJVpuGvqiqzUlEb8WZCV8Zlr64islEskqqzc+fRz7stff9g9teMht2rF0vaq9h046K7dsNl986u3m7xLOLJSbufUXhlZqT0h+fmQlfKMNXdAVmpOJ85syMo4nDV3QVZqTkd+NmSlPGPtHZCV2hOSnQ9ZKcvXQnVkpVxKUWXl+o13uTu+cMNZUtJLzG3ffdzkXcK9rNzx3mG36eB+t2HBIrd12Uq5tKisigCyUlUcSYZBVibBrqYpslJNFMkGQVYmQ6+mMbJSTRRJBkFWJsGuqimyUlUc0YdBVkZHrq4hslIukqiy0t8NvOyU7+zUcKt3A3/i6JHWTXb2uuvmL3SPnrtKLi0qqyKArFQVR5JhkJVJsKtpiqxUE0WyQZCVydCraYysVBNFkkGQlUmwq2qKrFQVR/RhkJXRkatriKyUiySqrBzUIyufOX7U3Xhgj1s3d757bMWEXFpUVkUAWakqjiTDICuTYFfTFFmpJopkgyArk6FX0xhZqSaKJIMgK5NgV9UUWakqjujDICujI1fXEFkpF0lUWTmo16zcdfKE+9RvdrtL5oy7J89bI5cWlVURQFaqiiPJMMjKJNjVNEVWqoki2SDIymTo1TRGVqqJIskgyMok2FU1RVaqiiP6MMjK6MjVNURWykUSVVb6ZQzi3cBfnzzprtr3mrtgdMw9u/oiubSorIoAslJVHEmGQVYmwa6mKbJSTRTJBkFWJkOvpjGyUk0USQZBVibBrqopslJVHNGHQVZGR66uIbJSLpLoslJuKWkq+xvs+MfE7lfa/7tnzdo0g9A1OgFkZXTk6hoiK9VFEnUgZGVU3CqbIStVxhJ1KGRlVNzqmiEr1UUSfSBkZXTkqhoiK1XFkWQYZKUcdmRlQ7aZrPzIG792h6en3cvnX+wWjYw0rMrmFgggKy2kJDsjslKWr/bqyErtCcnPh6yUZ6y9A7JSe0Ky8yErZflaqI6stJCS3IzISjm2ViojK+WSiiIr/V3Av/nV292Xv/5w15VYvRu4X9RVe191r09NumdXXeQuGBuTS4zKagggK9VEkWwQZGUy9CoaIytVxJB0CGRlUvwqmiMrVcSQbAhkZTL0ahojK9VEkWQQZGUS7KqaIivl4ogiK+XGT185O7LS3w3c3xX8sZUTbt34/PSDMYE4AWSlOGL1DZCV6iMSHRBZKYrXRHFkpYmYRIdEVoriVV8cWak+IvEBkZXiiFU3QFaqjifKcMhKOcxRZaU/wnL7trvd5ZeeeV1Hf5fwbd993O3cfr/cSoUqIyuFwBooi6w0EJLwiMhKYcDKyyMrlQcUYTxkZQTIylsgK5UHJDweslIYsIHyyEoDIQmOiKwUhGukNLJSLigVsjK7Q7jl08A3vb3f7Thy2G1ddp7bsOAcucSorIYAslJNFMkGQVYmQ6+iMbJSRQxJh0BWJsWvojmyUkUMyYZAViZDr6YxslJNFEkGQVYmwa6qKbJSLg4VsvKRH/zEPb7z56aPrHzo0NvuwUMH3ZbFS93mxcvkEqOyGgLISjVRJBsEWZkMvYrGyEoVMSQdAlmZFL+K5shKFTEkGwJZmQy9msbISjVRJBkEWZkEu6qmyEq5OMRlZXbUZK8llJ0e3msbDd/PTgNHVmpII+4MyMq4vDV2Q1ZqTCXeTMjKeKy1dkJWak0m3lzIynisNXZCVmpMJe5MyMq4vLV1Q1ZqSyT+PMhKOebisjI/eqdrVsotT75yJit3vHfYbTq4v3UK+KLWqeAr5RvTITkBZGXyCJIPgKxMHkHSAZCVSfGraI6sVBFD0iGQlUnxJ2+OrEweQfIBkJXJI0g6ALIyKX4VzZGVcjFElZVyy0hXOZOVz5w46m7cv8etmzvfPbZiIt1AdI5GAFkZDbXaRshKtdFEGQxZGQWz6ibIStXxRBkOWRkFs9omyEq10UQbDFkZDbXKRshKlbFEHQpZKYcbWVmRrT8qNHt886u3u/XXXNn+J7KyIsABfBqycgBDrbkkZGVNYAP2dGTlgAXax3KQlX1AG7BNkJUDFmjN5SArawIbwKcjKwcw1BpLQlbWgDWgT0VWygUbVVbuO3DQXbthc8fVaLwbeDZzXlDmF5DJytcnJ91V+151F4yOuWdXXySXGJXVEEBWqoki2SDIymToVTRGVqqIIekQyMqk+FU0R1aqiCHZEMjKZOjVNEZWqokiySDIyiTYVTVFVsrFEVVWrt94l7th/cfd3/7d33F3f+ORmbt/33bng+76T189c7Si3HLrV/7a1u+71SuXuVs+95nSjTNZ6b85sfuV9nP2rFlbvxFbmCOArDQXWfCBkZXBkZoqiKw0FZfIsMhKEaymiiIrTcUVfFhkZXCk5goiK81FFnRgZGVQnCaLISvlYosqK7Mb7Jy3Ypn74ub7Z2Slv2N4Xl7KLbd+ZT/zheevdK+9sX9m46d2PORWrVja/ndeVn7kjV+7w9PT7uXzL3aLRkbqN2MLUwSQlabiEhkWWSmC1UxRZKWZqMQGRVaKoTVTGFlpJiqRQZGVIlhNFUVWmoor+LDIyuBIzRVEVspFlkRWXn7pWuclYHbat5eVG++4b+bfcsutVzk7BXz7trudn9k/HvnBT9zWb/9oZtZDRyZniv7uf/nPbnfrdPD/cNF/7dbMGavXjGebI+B99ILxUffusSlzszNwGALzxme7U6dOu5NT02EKUsUUgVmznDtn3qg7fJTXAFPBBRx27pzZ7vTp0+7EJK8BAbGaKrV4wZjLvxc0NTzDNiYwPjbiZrV+GRw/eapxLQrYJLBo/vufBVq/CngMIYE5rdeA2a3XgGO8Bgxh+u8v2X8WOHJiyrWOWTvr4d8j8OifQFRZ6U/3/thHP9w+pTr/314APr7z5zNHWva/nLBbZrIyfySl75AdIeoF5pHjf/Mh9Q93v+b+1ZEj7i8vvND9N/MXhB2GauoI+KOqxlsfVI+1Xpx4DCeB8bGWrGz9ZppqCUsew0dglpvl5s2d7Y7mfg8MH4XhXvGc0RHnf/on+YPF0O4IC+a2PqTwGjC0+Y+1XgNaf7fij5ZDuwc454+sO3b8VOt3Ae8Fh3E3GJ3dkpWtA1j4o+Uwpv/+mue1Dl460ZLV0yV/sfDvEXj0TyCqrCyOmb/DdlEI9r+ksFvmxWRWOf+1/GngX3xrn3vi6Hvu0eWr3XXzkJVhk9BXjdPA9WUSeyJOA49NXFc/TgPXlUeKaTgNPAV1XT05DVxXHrGn4TTw2MT19eM0cH2ZxJyI08Bj0tbZi9PA5XJJKivllhWusr/BzrN/vWvmqM/iUaB5WXnvO2+67xx+x927ZLm7ddGScENQSSUBZKXKWKIOhayMiltdM2SlukiiD4SsjI5cXUNkpbpIog6ErIyKW2UzZKXKWKINhayMhlptI2SlXDRRZWXZUYpySwtX2QvLH/74p+2C/mY7O7ffP1M8LysfOvS2e/DQQbdl8VK3efGycANQSSUBZKXKWKIOhayMiltdM2SlukiiD4SsjI5cXUNkpbpIog6ErIyKW2UzZKXKWKINhayMhlptI2SlXDTIyoZs87Jyx3uH3aaD+92GBYvc1mUrG1Zmc+0EkJXaE5KfD1kpz1hzB2Sl5nTizIasjMNZcxdkpeZ05GdDVsoz1t4BWak9Idn5kJWyfC1UR1bKpRRVVvqb6lz/6avd+muulFtR5Mp5WfnMiaPuxv173Lq5891jKyYiT0K72ASQlbGJ6+uHrNSXScyJkJUxaevshazUmUvMqZCVMWnr64Ws1JdJ7ImQlbGJ6+qHrNSVR4ppkJVy1KPKSn937S9uvl/dXb+b4C2TlZfMGXdPnremSVm2NUAAWWkgJOERkZXCgJWXR1YqDyjCeMjKCJCVt0BWKg9IeDxkpTBgA+WRlQZCEhwRWSkI10hpZKVcUFFlZf7u32VL2vWz78mtVKhyXla+Pjnprtr3qls0MuJePv9ioY6U1UIAWakliXRzICvTsdfQGVmpIYW0MyAr0/LX0B1ZqSGFdDMgK9Ox19IZWakliTRzICvTcNfUFVkpl0ZUWSm3jHSV87LSTzGx+5X2MHvWrE03FJ2jEEBWRsGsugmyUnU84sMhK8URq2+ArFQfkfiAyEpxxKobICtVxxNlOGRlFMxqmyAr1UYTbTBkpRzqqLKy093Adz79nNv23cdNnh5elJVX7X3VvT416Z5ddZG7YGxMLjkqJyeArEweQfIBkJXJI0g6ALIyKX4VzZGVKmJIOgSyMin+5M2RlckjSD4AsjJ5BEkHQFYmxa+iObJSLgYVsvKFl15xG++4z1k/DdzH5G+w42+089jKCbdufL5cclROTgBZmTyC5AMgK5NHkHQAZGVS/CqaIytVxJB0CGRlUvzJmyMrk0eQfABkZfIIkg6ArEyKX0VzZKVcDCpk5SM/+Il7fOfPB+LIyi++udc9ceyIe3T5anfdvAVyyVE5OQFkZfIIkg+ArEweQdIBkJVJ8atojqxUEUPSIZCVSfEnb46sTB5B8gGQlckjSDoAsjIpfhXNkZVyMYjLyuyoyV5L2L7tbnf5pfau81g8Dfzed9503zn8jrt3yXJ366IlvZbN9w0TQFYaDi/Q6MjKQCCNlkFWGg0u4NjIyoAwjZZCVhoNLtDYyMpAIA2XQVYaDi/A6MjKABCNl0BWygUoLivzo3e6ZqXc8uQrF2XlQ4fedg8eOui2LF7qNi9eJj8AHZIRQFYmQ6+mMbJSTRRJBkFWJsGuqimyUlUcSYZBVibBrqYpslJNFMkGQVYmQ6+iMbJSRQxJh0BWyuGPKivllpGuclFW+lPA/ang181f6B49d1W6wegsTgBZKY5YfQNkpfqIRAdEVoriNVEcWWkiJtEhkZWieNUXR1aqj0h8QGSlOGLVDZCVquOJMhyyUg4zsrIh26Ks9DfX8TfZWTd3vntsxUTD6myumQCyUnM6cWZDVsbhrLULslJrMvHmQlbGY621E7JSazJx5kJWxuGsuQuyUnM68rMhK+UZa++ArJRLKLqsXL/xLvfaG/tLVzQIdwN/fXLSXbXvVXfB6Jh7dvVFcslROTkBZGXyCJIPgKxMHkHSAZCVSfGraI6sVBFD0iGQlUnxJ2+OrEweQfIBkJXJI0g6ALIyKX4VzZGVcjFElZW33fmgm1i13N2z6Wa5FUWuXDyy0ref2P1Ke4o9a+zdMCgyPtPtkJWm4wsyPLIyCEazRZCVZqMLNjiyMhhKs4WQlWajCzI4sjIIRtNFkJWm42s8PLKyMULzBZCVchFGlZXDcIMdH9VVe191r09NumdXXeQuGBuTS4/KSQkgK5PiV9EcWakihmRDICuToVfTGFmpJopkgyArk6FX0RhZqSKGpEMgK5PiT94cWZk8guQDICvlIkBWNmRbdmSlv2alv3blYysn3Lrx+Q07sLlWAshKrcnEmwtZGY+1xk7ISo2pxJ0JWRmXt8ZuyEqNqcSbCVkZj7XWTshKrcnEmQtZGYez5i7ISrl0ospKfxr49Z++2q2/5kq5FUWuXCYr/d3A/V3BH12+2l03b0HkiWgXiwCyMhZpvX2QlXqziTEZsjIGZd09kJW684kxHbIyBmW9PZCVerOJNRmyMhZpnX2QlTpziTkVslKOdlRZ+cJLr7i7v/GI27n9frkVRa5cJisfOvS2e/DQQbdl8VK3efGyyBPRLhYBZGUs0nr7ICv1ZhNjMmRlDMq6eyArdecTYzpkZQzKensgK/VmE2syZGUs0jr7ICt15hJzKmSlHO2ostJfs7LbYxDuBu7X953D77h733nTbViwyG1dtlIuPSonJYCsTIpfRXNkpYoYkg2BrEyGXk1jZKWaKJINgqxMhl5FY2SlihiSDoGsTIo/eXNkZfIIkg+ArJSLIKqslFtGusplR1b661X661aumzvfPbZiIt1wdBYlgKwUxWuiOLLSRExiQyIrxdCaKYysNBOV2KDISjG0JgojK03EJDokslIUr/riyEr1EYkPiKyUQ4ysbMi2TFbumjzhPrVvt7tkzrh78rw1DTuwuVYCyEqtycSbC1kZj7XGTshKjanEnQlZGZe3xm7ISo2pxJsJWRmPtdZOyEqtycSZC1kZh7PmLshKuXSiy0p/k51fPP9ie0Xbt93tLr90rfOnh990/SfdPZtullupUOUyWelbTex+pd1xz5q1Qp0pm5oAsjJ1Aun7IyvTZ5ByAmRlSvo6eiMrdeSQcgpkZUr66XsjK9NnkHoCZGXqBNL2R1am5a+hO7JSLoWostKLyolVy9tScv3Gu9x9X7mlLSt3Pv2c2/bdx03eeKeTrLxq76vu9alJ9+SqNe6SsXG5BKmcjACyMhl6NY2RlWqiSDIIsjIJdlVNkZWq4kgyDLIyCXY1TZGVaqJINgiyMhl6FY2RlSpiSDoEslIOf1RZ6Y+gfGrHQ27ViqVnyEp/l/CNd9znBuUGOz6uGw/scc8cP+oeWznh1o3Pl0uQyskIICuToVfTGFmpJookgyArk2BX1RRZqSqOJMMgK5NgV9MUWakmimSDICuToVfRGFmpIoakQyAr5fBHlZX+aMpHH7rrLFk5iEdW+ruBt+8KvmS5u3XRErkEqZyMALIyGXo1jZGVaqJIMgiyMgl2VU2RlariSDIMsjIJdjVNkZVqokg2CLIyGXoVjZGVKmJIOgSyUg5/VFn5yA9+4h7f+fP26d7ZaeDnrVjmrt2w2W360mfdLZ/7jNxKA1T2UvXLX3945lqbvmSn08DborIlLL2o9MKSx+ARQFYOXqZ1V4SsrEtssJ6PrBysPPtZDbKyH2qDtQ2ycrDyrLsaZGVdYoP3fGTl4GVaZ0XIyjq0BvO5yEq5XKPKSr+M7JTv/JK++dXb3fprrpRbZYDK2dGfr72xv5KsfOLYEffFN/e6dXPnu8dWTASYgBLaCCArtSUSfx5kZXzmmjoiKzWlkWYWZGUa7pq6Iis1pRF/FmRlfObaOiIrtSUSdx5kZVzeGrshK+VSiS4r5ZYiVzl/mrq/7mZ2F3PfsdORlbsmT7hP7dvtLpkz7p48b43ccFRORgBZmQy9msbISjVRJBkEWZkEu6qmyEpVcSQZBlmZBLuapshKNVEkGwRZmQy9isbIShUxJB0CWSmHP6qs/NrW77sf/vinZ91IxwvAm67/ZPsu4doexetpVpWVfh0Tu19pL2fPmrXalsU8AQggKwNANF4CWWk8wIbjIysbAhyAzZGVAxBiwyUgKxsCNL45stJ4gAHGR1YGgGi4BLLScHiBRkdWBgJZUiaqrPTXqbzjCzecdcq31hvslM1VlJW/fe9kx3T+4PVX3YvHj7u/WnORu2x8rlyKVE5CYPbILLdg7qg7fHQySX+apiewYHzUTZ2adiemptMPwwTRCcxys9ziBaPunSO8BkSHr6ThvDmz3enWLMdPnlIyEWPEJvChhXNct/eCseehX1wCc1uvAbNaLY/xGhAXvKJuSxaMuUNHplq/C/xvAx7DRmB8bLYbHXHuyAneBwxb9tl6/R+ujxyfcGFDsAAAIABJREFUcqemz34N8O8RePRPIKqsLIq+bOzsOpa7fva9/lcisGV2JGhZ6ew6m8e6vDBd99qr7udHjrgfXrDG/dE55whMSMmUBGa13p36X1B8SE2ZQtreY2Mjbrr1i+nUKd6gpk0iTff2a0Drg+px3qCmCUBB17HWJ5TTp0+3/mjBa4CCOJKMMG98tuv2XjDJUDSNRsCfZTOr9ctgkj9aRmOurdHc1mvAiZasbv0q4DGEBGa3XgP8mTa8Bgxh+B8s2f/R6sRk+WuAf4/Ao38CUWWltSMry7DWOQ3c3w3c3xV8y+KlbvPiZf2nxJYqCXAauMpYog7FaeBRcatrxmng6iKJPhCngUdHrq4hp4GriyTqQJwGHhW3ymacBq4ylmhDcRp4NNRqG3EauFw0UWWlP636y19/2D214yG3asXS9qr2HTjort2w2Vm4I7ift46sfOJo647gb+11181f6B49d5VcilROQgBZmQS7qqbISlVxRB8GWRkdubqGyEp1kUQfCFkZHbmqhshKVXEkGQZZmQS7mqbISjVRJBsEWSmHPqqs9MvITvnOLyl/d225pYapXEdWPnP8qLvxwB7uCB4GvboqyEp1kUQfCFkZHbmqhshKVXEkGQZZmQS7qqbISlVxRB8GWRkdubqGyEp1kUQdCFkZFbfKZshKuViiy0q5paSpvPftYx0bH56edh9549ft73NH8DT5SHZFVkrStVEbWWkjJ6kpkZVSZO3URVbayUpqUmSlFFkbdZGVNnKSnBJZKUlXf21kpf6MpCdEVsoRRlY2ZNtNVvrSn/rNbrfr5An35Ko17pKx8Ybd2FwTAWSlpjTSzIKsTMNdS1dkpZYk0s2BrEzHXktnZKWWJNLMgaxMw11TV2SlpjTiz4KsjM9cW0dkpVwi0WWlv8nOa2/sL12RtruBV8HeS1Z+8a197omj77lHl692181bUKUkzzFCAFlpJCjBMZGVgnANlEZWGghJeERkpTBgA+WRlQZCEhwRWSkI10hpZKWRoITGRFYKgTVUFlkpF1ZUWXnbnQ+6iVXL3T2bbpZbUeTKvWTlQ4fedg8eOuhuXbTE3btkeeTpaCdJAFkpSddGbWSljZykpkRWSpG1UxdZaScrqUmRlVJkbdRFVtrISXJKZKUkXf21kZX6M5KeEFkpRziqrCzenEZuWfEq95KV2U121s2d7x5bMRFvMDqJE0BWiiNW3wBZqT4i0QGRlaJ4TRRHVpqISXRIZKUoXvXFkZXqIxIfEFkpjlh1A2Sl6niiDIeslMOMrGzItpesfH1q0l2191W3aGTEvXz+xQ27sbkmAshKTWmkmQVZmYa7lq7ISi1JpJsDWZmOvZbOyEotSaSZA1mZhrumrshKTWnEnwVZGZ+5to7ISrlEospKfxr49Z++2q2/5kq5FUWu3EtW+nH8HcH9ncG5yU7kcITbISuFARsoj6w0EJLgiMhKQbhGSiMrjQQlOCayUhCugdLISgMhCY+IrBQGrLw8slJ5QBHGQ1bKQY4qK1946RV39zcecTu33y+3osiVq8hKbrITOZRI7ZCVkUArboOsVBxOhNGQlREgK2+BrFQeUITxkJURICtugaxUHE6k0ZCVkUArbYOsVBpMxLGQlXKwo8pKf83Kbo9BvBu4Xy832ZHbgVNWRlampK+jN7JSRw6ppkBWpiKvpy+yUk8WqSZBVqYir6MvslJHDimnQFampJ++N7IyfQapJ0BWyiUQVVbKLSNd5SpHVj5z4qi7cf8ex0120uUk0RlZKUHVVk1kpa28Qk+LrAxN1F49ZKW9zEJPjKwMTdRWPWSlrbwkpkVWSlC1UxNZaScrqUmRlVJknUNWNmRbRVb661X661b6x541axt2ZHMtBJCVWpJINweyMh17DZ2RlRpSSDsDsjItfw3dkZUaUkg3A7IyHXstnZGVWpJIMweyMg13TV2RlXJpRJeV/rqVG++474wVbd92t7v8UpsSr4qs9Iv91G92u10nT7jHVk64dePz5RKlcjQCyMpoqNU2QlaqjSbKYMjKKJhVN0FWqo4nynDIyiiY1TZBVqqNJtpgyMpoqFU2QlaqjCXqUMhKOdxRZeXOp59zX/76w+6pHQ+5VSuWtle178BBd+2Gze6bX73d5F3Cq8rKTQcPuB3vHXL3Llnubl20RC5RKkcjgKyMhlptI2Sl2miiDIasjIJZdRNkpep4ogyHrIyCWW0TZKXaaKINhqyMhlplI2SlyliiDoWslMMdVVau33iXu+MLN5wlJb3E3Pbdx03eJbyqrHzi2BH3xTf3ct1KuX05emVkZXTk6hoiK9VFEnUgZGVU3CqbIStVxhJ1KGRlVNzqmiEr1UUSfSBkZXTkqhoiK1XFkWQYZKUc9qiy0t8NvOyU7+zU8EG9G7iP7/WpSXfV3lfdopER9/L5F8slSuVoBJCV0VCrbYSsVBtNlMGQlVEwq26CrFQdT5ThkJVRMKttgqxUG020wZCV0VCrbISsVBlL1KGQlXK4o8rKYT6y0kf4qX2t61ZOct1Kud05bmVkZVzeGrshKzWmEm8mZGU81lo7ISu1JhNvLmRlPNYaOyErNaYSdyZkZVze2rohK7UlEn8eZKUc86iycpivWekjzK5buWXxUrd58TK5VKkchQCyMgpm1U2QlarjER8OWSmOWH0DZKX6iMQHRFaKI1bdAFmpOp4owyEro2BW2wRZqTaaaIMhK+VQR5WVfhnDejdwv3auWym3I6eojKxMQV1XT2SlrjxiT4OsjE1cXz9kpb5MYk+ErIxNXFc/ZKWuPFJMg6xMQV1PT2SlnixSTYKslCMfXVbKLSVN5ao32PHTHZ6edh9549ftQZ9dfZG7YHQszdB0DUIAWRkEo+kiyErT8TUeHlnZGKH5AshK8xE2XgCysjFC0wWQlabjCzI8sjIIRrNFkJVmows2OLIyGMqzCiErG7KtIyt9qxv373HPnDjqti5d4TYsXNywO5unJICsTElfR29kpY4cUk2BrExFXk9fZKWeLFJNgqxMRV5HX2SljhxSToGsTEk/fW9kZfoMUk+ArJRLIIqszK5V+c2v3u7WX3PlGavp9j25ZYerXFdW7njvUPvaldfNX+gePXdVuEGoFJ0AsjI6cnUNkZXqIok6ELIyKm6VzZCVKmOJOhSyMipudc2QleoiiT4QsjI6clUNkZWq4kgyDLJSDnsUWXnbnQ+6iVXL3T2bbi5dyde2ft/t2fem+9YDW+RWKlS5rqx8fWrSXbX31fY0L59/sVs0MiI0GWWlCSArpQnrr4+s1J+R5ITISkm6NmojK23kJDklslKSrv7ayEr9GUlPiKyUJqy7PrJSdz4xpkNWylGOIisv+cTn3fZtd7vLL11bupLspju7fvY9uZUKVa4rK/0YNx5onQp+nFPBhSKJVhZZGQ212kbISrXRRBkMWRkFs+omyErV8UQZDlkZBbPaJshKtdFEGwxZGQ21ykbISpWxRB0KWSmHG1nZkG0/spJTwRtCV7I5slJJEAnHQFYmhK+gNbJSQQiJR0BWJg5AQXtkpYIQEo6ArEwIX0lrZKWSIBKNgaxMBF5RW2SlXBhRZOX6jXe5+75yS9cjK+/+xiNu5/b75VYqVLkfWZk/FZy7ggsFE6EssjICZOUtkJXKAxIeD1kpDNhAeWSlgZCER0RWCgNWXh5ZqTygCOMhKyNAVtwCWak4nEijISvlQEeRlY/84Cful//uVx2vSdnrmpZyy+9d2V9P84c//unME6++4rIz1tGPrPTFOBW8N3vtz0BWak9Ifj5kpTxjzR2QlZrTiTMbsjIOZ81dkJWa05GfDVkpz1h7B2Sl9oRk50NWyvK1UB1ZKZdSFFnpx/dHV/pH8ehJ//XX3tjvtF6v0s+Xn9n/+4b1H3e3fO4z7fX0KyuzU8EvGB1z/uhKHvYIICvtZRZ6YmRlaKK26iErbeUlMS2yUoKqrZrISlt5hZ4WWRmaqL16yEp7mYWcGFkZkqbNWshKudyiyUq/BH+E5dZv/+iM1dx0/Sc73iVcbtn9Vy4eJdqvrPQT+LuC+1PCH1s54daNz+9/KLZMQgBZmQS7qqbISlVxRB8GWRkdubqGyEp1kUQfCFkZHbmqhshKVXEkGQZZmQS7mqbISjVRJBsEWSmHPqqslFtGvMr+lPWPffTDjY+s9BPf+85b7juHf+s2LFzsti5dEW8RdApCAFkZBKPpIshK0/E1Hh5Z2Rih+QLISvMRNl4AsrIxQtMFkJWm4wsyPLIyCEazRZCVZqMLNjiyMhjKswohK2uwzY4MzZ+y/vbhkzUqnPnU3a2jKn/vtV+3v/hvL7zYrWmdEs7DDoHZs507Z96Ye+e9STtDM2lQAv5DytTUtDs+OR20LsVsEBiZ5dyShWPu4Lu8BthILPyU8+fOdqdPn3bHTvAaEJ6ujYrLFs1xTd4L2lglU3YiMG98xM2aNcsdPX4KSENKYOk5738WmD49pACGfNlz54y40dYbwvd4DRjaPcF/Fnj32KQ7VfJrwL9H4NE/AWRlRXY7n37OffnrD7undjzkVq1YOrPViclmb05u3bPX/cVvf+v+5EMfct+ZWF1xGp6mgcAsN8uNjY64k1PN9gENa2GG/giMzh5pvTk97aZ5h9ofQPNbzXJzxlqvAQ1/D5jHMMQLGB0Zcf7z6alpZOWw7gbjY7Nd0/eCw8puENY9u/Ua0Pq7lZviNWAQ4uxrDXNarwEn23+0xlb2BdD4RiOt1wD/x+upU7wPMB5l3+PPGZ3tJlsHr5wueQ3w7xF49E8AWVmBXdkRldlmTa5Z6Wv4a1b6a1f6h7/Rjr/hDg8bBDgN3EZOklNyGrgkXf21OQ1cf0bSE3IauDRh/fU5DVx/RpITchq4JF0btTkN3EZOUlNyGrgUWTt1OQ1cLitkZQ+2/hqV/vGtB7aUPrOprPRFNx084Pzdwbl2pdyOLlEZWSlB1VZNZKWtvEJPi6wMTdRePWSlvcxCT4ysDE3UVj1kpa28JKZFVkpQtVMTWWknK6lJkZVSZJ1DVnZhu+/AQXfths2lz9i+7W53+aVrXQhZmT+68slVa9wlY+NyiVM5GAFkZTCUZgshK81GF2RwZGUQjKaLICtNxxdkeGRlEIxmiyArzUYXbHBkZTCUJgshK03GFnRoZGVQnGcUQ1Y2ZBtCVvoRHjp00D146O32aeD+dHAe+gkgK/VnJD0hslKasO76yErd+cSYDlkZg7LuHshK3flIT4eslCasvz6yUn9GkhMiKyXp2qiNrJTLCVnZkG0oWenH8Neu9EdZblm8zG1e/Dc38Wk4IpsLEUBWCoE1VBZZaSgsgVGRlQJQjZVEVhoLTGBcZKUAVEMlkZWGwhIaFVkpBNZIWWSlkaAEx0RWysFFVjZkG1JWPnP8qLvxwJ72RNxsp2EwETZHVkaArLwFslJ5QMLjISuFARsoj6w0EJLwiMhKYcDKyyMrlQcUYTxkZQTIilsgKxWHE2k0ZKUcaGRlQ7YhZaUfJX86+I9WTHB38Ib5SG6OrJSka6M2stJGTlJTIiulyNqpi6y0k5XUpMhKKbI26iIrbeQkOSWyUpKu/trISv0ZSU+IrJQjjKxsyDa0rPTjfGrfbrdr8kT7Rjv+hjs8dBJAVurMJeZUyMqYtPX1QlbqyyT2RMjK2MT19UNW6ssk5kTIypi0dfZCVurMJdZUyMpYpPX2QVbKZYOsbMhWQlb661Z+tnU6uP/fDQsXu61LVzScks0lCCArJajaqomstJVX6GmRlaGJ2quHrLSXWeiJkZWhidqqh6y0lZfEtMhKCap2aiIr7WQlNSmyUoqsc8jKhmwlZKUfyYvKT/1mtzs8Pc0NdxpmJLU5slKKrJ26yEo7WUlMiqyUoGqrJrLSVl4S0yIrJajaqYmstJOV1KTISimyNuoiK23kJDklslKOLrKyIVspWenH8qeC37j/jbaw5AjLhkEJbI6sFIBqrCSy0lhggcdFVgYGarAcstJgaIFHRlYGBmqsHLLSWGAC4yIrBaAaKomsNBSW0KjISiGwrbLIyoZsJWVlUViumzu/fUr4BaNjDadm8xAEkJUhKNqugay0nV/T6ZGVTQna3x5ZaT/DpitAVjYlaHt7ZKXt/EJMj6wMQdFuDWSl3exCTY6sDEXy7DrIyoZspWVlJiy/+Oa+9qnhXlR6YenFJY+0BJCVaflr6I6s1JBCuhmQlenYa+mMrNSSRLo5kJXp2GvojKzUkELaGZCVafmn7o6sTJ1A+v7ISrkMkJUN2caQlX5ELyo3vb3fPXPiWHviWxd9yG1etNQtGhlpuAI275cAsrJfcoOzHbJycLLsZyXIyn6oDdY2yMrByrOf1SAr+6E2ONsgKwcny35Xgqzsl9xgbIesHIwcm6wCWdmEXvdtkZUN2caSldmY3zn8W3fvO2+1/+lF5Z8tObd9PUse8QkgK+Mz19YRWaktkbjzICvj8tbYDVmpMZW4MyEr4/LW1g1ZqS2R+PMgK+Mz19QRWakpjTSzICvluCMrG7KNLSv9uP7GO3968K3WUZZH29P7U8M3t460RFo2DLPm5sjKmsAG8OnIygEMtcaSkJU1YA3oU5GVAxpsjWUhK2vAGsCnIisHMNSaS0JW1gQ2YE9HVg5YoH0sB1nZB7SKmyArK4Lq9LQUsjKb5Ymj77WPsvSniPuHP9Ly1nM+5G45ZwmnhzfMtcrmyMoqlAb7OcjKwc631+qQlb0IDf73kZWDn3GvFSIrexEa7O8jKwc73yqrQ1ZWoTS4z0FWDm62VVeGrKxKqv7zkJX1mZ2xRUpZmQ2y471DbseRd2euZ+m/vm58vvv0vAXupoWLEJcNM+60ObJSCKyhsshKQ2EJjIqsFIBqrCSy0lhgAuMiKwWgGiqJrDQUltCoyEohsEbKIiuNBCU4JrJSDi6ysiFbDbIyW8Izx4+6R1ri8t+0/vfw9PTMyvydw39/fF5LYM7lLuIN885vjqwMCNNoKWSl0eACjY2sDATScBlkpeHwAo2OrAwE0mgZZKXR4AKOjawMCNNgKWSlwdACj4ysDAw0Vw5Z2ZCtJlmZLcWLyh1HDrsnjh5pXd/y+Bni0p8qfsnYXHfp+Bx3Vevoy0vG5rSvecmjPgFkZX1mg7YFsnLQEq23HmRlPV6D+Gxk5SCmWm9NyMp6vAbt2cjKQUu0/nqQlfWZDdIWyMpBSrO/tSAr++NWZStkZRVKXZ6jUVbmx/XictfJ4+5fHj/SlpfZ9S3zz8kE5iVz5rjzZ4+5C8bGkJgV9gtkZQVIA/4UZOWAB9xjecjK4c7frx5ZyT6ArBzufQBZOdz5+9UjK4d7H0BWDnf+fvXISrl9AFnZkK12WVlcnpeX/+bEMfds607iL504edaRl0WJuXhktrtkzrg7Z9aIWzM6+oHMbP3vyJhbPHv2UF8PE1nZ8IdnADZHVg5AiA2WgKxsAG9ANkVWDkiQDZaBrGwAbwA2RVYOQIgNl4CsbAjQ+ObISuMBBhgfWRkAYocSyMqGbK3JyrLlvj456XZNnXRvtO4qvuvkiZbAPNE+dbzsKMyy7f1p5P7oTP+/XmoumT3iFrX+1x+l6R8XjI22vt/6/1mznDvt/z0Yp50jKxv+8AzA5sjKAQixwRKQlQ3gDcimyMoBCbLBMpCVDeANwKbIygEIseESkJUNARrfHFlpPMAA4yMrA0BEVspAHARZ2YmMF5aHTp1qi8x3p1v/25KYh061JOapqbbYPNT6Wv5GPnUJ56+Vef4H1828YPao95mupTVb8nN0pmQmPv0XFrWO6Fw84p/R+u/WkZ+L3Mj7G7Qe/khQL05jPJCVMSjr7oGs1J2P9HTISmnC+usjK/VnJD0hslKasO76yErd+cSYDlkZg7LeHshKvdnEmgxZKUeaIysbsh1kWVkVjT8y87DzR2JOtaXmOy2h+e7pU+1/+4eXm4dzYrPqEZtV+3d7nheXXmDmH5kYzb62uPUcfyRoJkmzr+dlafa1c2Z5Ufq+DB1pCdOFc0fd4aOT7X/7I0jLHv6U+fbDC1XfJPffw34qfYiMU9ZAVqakn743sjJ9BqknQFamTiB9f2Rl+gxSToCsTElfR29kpY4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", 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