{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook demonstrates an orbit determination from position data using a Keplerian propagator and a Batch-Least-Squares (BLS) estimator.\n", "\n", "It also includes an IOD (Initial Orbit Determination) to avoid needing to know a first guess of the orbit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameters" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "sigma_position = 100e3 # Noise (in terms of standard deviation of gaussian distribution) of input position data in meters\n", "sigma_velocity = 100.0 # Noise of input velocity data in meters per second\n", "\n", "# Estimator parameters\n", "estimator_position_scale = 1.0 # m\n", "estimator_convergence_thres = 1e-2\n", "estimator_max_iterations = 25\n", "estimator_max_evaluations = 35\n", "\n", "# Orbit propagator parameters\n", "prop_min_step = 0.001 # s\n", "prop_max_step = 300.0 # s\n", "prop_position_error = 10.0 # m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Importing generated position/velocity data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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xyzvxvyvz
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2020-01-01 01:56:40-6.532619e+06-4.101071e+06-7.719091e+065268.872249-1257.629013-2265.282454
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" ], "text/plain": [ " x y z vx \\\n", "2020-01-01 00:00:00 8.056982e+06 1.468446e+04 3.100794e+04 -41.522207 \n", "2020-01-01 00:58:20 -8.900902e+06 3.333955e+06 5.922577e+06 -3865.802334 \n", "2020-01-01 01:56:40 -6.532619e+06 -4.101071e+06 -7.719091e+06 5268.872249 \n", "\n", " vy vz \n", "2020-01-01 00:00:00 3885.734219 6677.381032 \n", "2020-01-01 00:58:20 -1957.304014 -3284.611687 \n", "2020-01-01 01:56:40 -1257.629013 -2265.282454 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import math\n", "i = math.ceil(len(points_df.index) / 3)\n", "points_for_iod = points_df.iloc[::i, :]\n", "display(points_for_iod)\n", "\n", "from org.hipparchus.geometry.euclidean.threed import Vector3D\n", "from orekit.pyhelpers import datetime_to_absolutedate\n", "pos_1 = points_for_iod.iloc[0]\n", "vector_1 = Vector3D(pos_1[['x', 'y', 'z']].to_list())\n", "date_1 = datetime_to_absolutedate(points_for_iod.index[0])\n", "\n", "pos_2 = points_for_iod.iloc[1]\n", "vector_2 = Vector3D(pos_2[['x', 'y', 'z']].to_list())\n", "date_2 = datetime_to_absolutedate(points_for_iod.index[1])\n", "\n", "pos_3 = points_for_iod.iloc[2]\n", "vector_3 = Vector3D(pos_3[['x', 'y', 'z']].to_list())\n", "date_3 = datetime_to_absolutedate(points_for_iod.index[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Performing the Initial Orbit Determination using Gibb's method. It assumes that at least 3 data points are available" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from org.orekit.estimation.iod import IodGibbs\n", "from org.orekit.utils import Constants as orekit_constants\n", "iod_gibbs = IodGibbs(orekit_constants.EIGEN5C_EARTH_MU)\n", "orbit_first_guess = iod_gibbs.estimate(gcrf,\n", " vector_1, date_1,\n", " vector_2, date_2,\n", " vector_3, date_3)\n", "from org.orekit.propagation.analytical import KeplerianPropagator\n", "kepler_propagator_iod = KeplerianPropagator(orbit_first_guess)\n", "\n", "display(orbit_first_guess)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Setting up a numerical propagator. It is not possible in Orekit to perform orbit determination with a Keplerian propagator." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from org.orekit.propagation.conversion import DormandPrince853IntegratorBuilder\n", "integratorBuilder = DormandPrince853IntegratorBuilder(prop_min_step, prop_max_step, prop_position_error)\n", "\n", "from org.orekit.propagation.conversion import NumericalPropagatorBuilder\n", "from org.orekit.orbits import PositionAngle\n", "propagatorBuilder = NumericalPropagatorBuilder(orbit_first_guess,\n", " integratorBuilder, PositionAngle.TRUE, estimator_position_scale)\n", "from org.hipparchus.linear import QRDecomposer\n", "matrix_decomposer = QRDecomposer(1e-11)\n", "from org.hipparchus.optim.nonlinear.vector.leastsquares import GaussNewtonOptimizer\n", "optimizer = GaussNewtonOptimizer(matrix_decomposer, False)\n", "\n", "from org.orekit.estimation.leastsquares import BatchLSEstimator\n", "estimator = BatchLSEstimator(optimizer, propagatorBuilder)\n", "estimator.setParametersConvergenceThreshold(estimator_convergence_thres)\n", "estimator.setMaxIterations(estimator_max_iterations)\n", "estimator.setMaxEvaluations(estimator_max_evaluations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Feeding position measurements to the esimator" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from orekit.pyhelpers import datetime_to_absolutedate\n", "from org.orekit.estimation.measurements import Position, ObservableSatellite\n", "\n", "observableSatellite = ObservableSatellite(0) # Propagator index = 0\n", "\n", "for timestamp, pv_gcrf in points_df.iterrows():\n", " orekit_position = Position(\n", " datetime_to_absolutedate(timestamp),\n", " Vector3D(pv_gcrf[['x', 'y', 'z']].to_list()),\n", " sigma_position,\n", " 1.0, # Base weight\n", " observableSatellite\n", " )\n", " estimator.addMeasurement(orekit_position)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Performing the orbit determination" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "estimatedPropagatorArray = estimator.estimate()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 60.0\n", "date_start = datetime_to_absolutedate(points_df.index[0])\n", "date_end = datetime_to_absolutedate(points_df.index[-1])\n", "\n", "# First propagating in ephemeris mode\n", "estimatedPropagator = estimatedPropagatorArray[0]\n", "estimatedInitialState = estimatedPropagator.getInitialState()\n", "display(estimatedInitialState.getOrbit())\n", "estimatedPropagator.resetInitialState(estimatedInitialState)\n", "estimatedPropagator.setEphemerisMode()\n", "\n", "estimatedPropagator.propagate(date_start, date_end)\n", "bounded_propagator = estimatedPropagator.getGeneratedEphemeris()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Propagating the bounded propagator to retrieve the intermediate states" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# BLS = batch least squares\n", "\n", "import numpy as np\n", "from orekit.pyhelpers import absolutedate_to_datetime\n", "pv_bls_df = pd.DataFrame(columns=['x', 'y', 'z', 'vx', 'vy', 'vz'])\n", "pv_iod_df = pd.DataFrame(columns=['x', 'y', 'z', 'vx', 'vy', 'vz'])\n", " \n", "date_current = date_start\n", "while date_current.compareTo(date_end) <= 0:\n", " datetime_current = absolutedate_to_datetime(date_current) \n", " spacecraftState = bounded_propagator.propagate(date_current)\n", " \n", " pv_bls = spacecraftState.getPVCoordinates(gcrf)\n", " pos_bls = np.array(pv_bls.getPosition().toArray())\n", " pv_bls_df.loc[datetime_current] = np.concatenate(\n", " (pos_bls,\n", " np.array(pv_bls.getVelocity().toArray()))\n", " )\n", "\n", " pv_iod = kepler_propagator_iod.getPVCoordinates(date_current, gcrf)\n", " pos_iod_gcrf = np.array(pv_iod.getPosition().toArray())\n", " pv_iod_df.loc[datetime_current] = np.concatenate(\n", " (pos_iod_gcrf,\n", " np.array(pv_iod.getVelocity().toArray()))\n", " )\n", " date_current = date_current.shiftedBy(dt) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting orbit in 3D." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import plotly.io as pio\n", "pio.renderers.default = 'jupyterlab+notebook+png' # Uncomment for interactive plots" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "mode": "lines", "name": "IOD solution", "type": "scatter3d", "x": [ 8051853.809819307, 8056029.296229331, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import plotly.graph_objects as go\n", "fig_data = data=[go.Scatter3d(x=pv_iod_df['x'], y=pv_iod_df['y'], z=pv_iod_df['z'],\n", " mode='lines',\n", " name='IOD solution'),\n", " go.Scatter3d(x=pv_bls_df['x'], y=pv_bls_df['y'], z=pv_bls_df['z'],\n", " mode='lines',\n", " name='Batch least squares solution'),\n", " go.Scatter3d(x=points_df['x'], y=points_df['y'], z=points_df['z'],\n", " mode='markers',\n", " name='Measurements'),\n", " go.Scatter3d(x=points_for_iod['x'], y=points_for_iod['y'], z=points_for_iod['z'],\n", " mode='markers',\n", " name='Measurements used for IOD')]\n", "scene=dict(aspectmode='data', #this string can be 'data', 'cube', 'auto', 'manual'\n", " )\n", "layout = dict(\n", " scene=scene\n", ")\n", "fig = go.Figure(data=fig_data,\n", " layout=layout)\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computing residuals" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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bls_minus_measurements_normiod_minus_measurements_normbls_minus_truth_normiod_minus_truth_norm
2020-01-01 00:00:0056284.5414634.406553e+0535197.554591410477.798023
2020-01-01 00:08:20124848.0681794.512250e+0529525.788027459466.806069
2020-01-01 00:16:40229709.3973257.092156e+0532147.889070469140.661240
2020-01-01 00:25:00122488.1571253.941168e+0541267.597273440068.128587
2020-01-01 00:33:20177989.3125215.735803e+0551704.258637383718.574137
2020-01-01 00:41:40145384.8547734.714415e+0560720.042314315624.280127
2020-01-01 00:50:00199651.8557734.289431e+0567340.500439254940.221995
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" ], "text/plain": [ " bls_minus_measurements_norm iod_minus_measurements_norm \\\n", "2020-01-01 00:00:00 56284.541463 4.406553e+05 \n", "2020-01-01 00:08:20 124848.068179 4.512250e+05 \n", "2020-01-01 00:16:40 229709.397325 7.092156e+05 \n", "2020-01-01 00:25:00 122488.157125 3.941168e+05 \n", "2020-01-01 00:33:20 177989.312521 5.735803e+05 \n", "2020-01-01 00:41:40 145384.854773 4.714415e+05 \n", "2020-01-01 00:50:00 199651.855773 4.289431e+05 \n", "2020-01-01 00:58:20 236697.521045 1.041250e-09 \n", "2020-01-01 01:06:40 68850.073865 2.212800e+05 \n", "2020-01-01 01:15:00 263136.928530 4.124667e+05 \n", "2020-01-01 01:23:20 203790.425959 4.508294e+05 \n", "2020-01-01 01:31:40 148366.500635 2.920698e+05 \n", "2020-01-01 01:40:00 97167.162597 3.922434e+05 \n", "2020-01-01 01:48:20 111680.778305 4.879147e+05 \n", "2020-01-01 01:56:40 318131.193403 4.935799e+05 \n", "2020-01-01 02:05:00 83406.147972 5.204905e+05 \n", "2020-01-01 02:13:20 180707.939038 6.596178e+05 \n", "2020-01-01 02:21:40 285624.069241 2.754855e+05 \n", "2020-01-01 02:30:00 218996.522755 4.825182e+05 \n", "2020-01-01 02:38:20 137352.096042 4.670766e+05 \n", "\n", " bls_minus_truth_norm iod_minus_truth_norm \n", "2020-01-01 00:00:00 35197.554591 410477.798023 \n", "2020-01-01 00:08:20 29525.788027 459466.806069 \n", "2020-01-01 00:16:40 32147.889070 469140.661240 \n", "2020-01-01 00:25:00 41267.597273 440068.128587 \n", "2020-01-01 00:33:20 51704.258637 383718.574137 \n", "2020-01-01 00:41:40 60720.042314 315624.280127 \n", "2020-01-01 00:50:00 67340.500439 254940.221995 \n", "2020-01-01 00:58:20 71344.845271 226318.598419 \n", "2020-01-01 01:06:40 72834.435338 246095.676748 \n", "2020-01-01 01:15:00 72060.792997 301602.606451 \n", "2020-01-01 01:23:20 69360.588820 370368.068233 \n", "2020-01-01 01:31:40 65139.093232 437821.516601 \n", "2020-01-01 01:40:00 59876.916042 495578.656280 \n", "2020-01-01 01:48:20 54142.044591 538013.368693 \n", "2020-01-01 01:56:40 48576.224429 560694.189462 \n", "2020-01-01 02:05:00 43791.551469 559942.593999 \n", "2020-01-01 02:13:20 40101.479799 533204.774547 \n", "2020-01-01 02:21:40 37148.959456 480520.331691 \n", "2020-01-01 02:30:00 33764.598152 407782.535158 \n", "2020-01-01 02:38:20 28364.897320 331800.248974 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "residuals_df = pd.DataFrame(columns=['bls_minus_measurements_norm', 'iod_minus_measurements_norm', 'bls_minus_truth_norm', 'iod_minus_truth_norm'])\n", "\n", "for timestamp, pv_gcrf in points_df.iterrows(): \n", " date_current = datetime_to_absolutedate(timestamp)\n", " pv_bls = bounded_propagator.getPVCoordinates(date_current, gcrf)\n", " pos_bls = np.array(pv_bls.getPosition().toArray())\n", "\n", " pv_iod = kepler_propagator_iod.getPVCoordinates(date_current, gcrf)\n", " pos_iod = np.array(pv_iod.getPosition().toArray())\n", " \n", " pv_measurements = points_df.loc[timestamp]\n", " pos_measurements = pv_measurements[['x', 'y', 'z']]\n", " \n", " pv_true = points_true_df.loc[timestamp]\n", " pos_true = pv_true[['x', 'y', 'z']]\n", " \n", " bls_minus_measurements = np.linalg.norm(pos_bls - pos_measurements)\n", " iod_minus_measurements = np.linalg.norm(pos_iod - pos_measurements)\n", " bls_minus_truth = np.linalg.norm(pos_bls - pos_true)\n", " iod_minus_truth = np.linalg.norm(pos_iod - pos_true)\n", " \n", " residuals_df.loc[timestamp] = [\n", " np.linalg.norm(pos_bls - pos_measurements),\n", " np.linalg.norm(pos_iod - pos_measurements),\n", " np.linalg.norm(pos_bls - pos_true),\n", " np.linalg.norm(pos_iod - pos_true),\n", " ]\n", " \n", "display(residuals_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Showing the residuals, i.e. the distance between the measurement points and the estimated positions (by the IOD and the BLS respectively).\n", "\n", "This tells how well the estimation fits the measurements, but not how well it fits the \"true\" orbit, because the measurements contain significant noise here." ] }, { 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CN2z9RW++O1jP1G2nF9/qrkmzl6TG0n2HT+qV5v31v691Uv9Rc9R9yIcPHYIladmaH/R6q0H6V+181WzUW+M++lJS2Yfgh32sRw3BrhdX4w4j9HTNNuo3craOnTqvvO5j9D+vddKajTse+++gGENwhkzfuGUzhuDKX/zd15TIfb5kCG72shz3gvFzBSGGYLI1hmCyOYZgsjWGYLI52x7nBzUA6TEEZ8j0jVs2Ywiu3HnzZyqZm6N4n9Zyd+xQvHND/zmCv1pk/GxBiCGYbI0hmGyOIZhsjSGYbM62x/lBDUB6DMEZMn3jls0YgitvzqFjSjSupkSjanIOHFYodkXhjd8pmZujROt6CnFVcMYxBJOtMQSTzTEEk60xBJPN2fY4P6gBSI8hOEOmb9yyGUNw5S3WP99/YbjZk0r9erxrEyVzcxT5Yr7xM1b1GILJ1hiCyeYYgsnWGILJ5mx7nB/UAKTHEJwh0zdu2YwhuHIWWfO1f+Vv2/oKFcVLvS28eZP/tpa173sblS2GYLI1hmCyOYZgsjWGYLI52x7nBzUA6TEEZ8j0jVs2YwiuhJ3zlMiro2RujsIbv0v7PvGeLf3nCv5srvnzVuEYgsnWGILJ5hiCydYYgsnmbHucH9QApMcQnCHTN27ZjCG48hWdMlLJ3BzFhnV/4Pu4W7dwVXA5xBBMtsYQTDbHEEy2xhBMNmfb4/ygBiA9huAMmb5xy2YMwZUrd/dv/sDb7GU5J84+9H1TVwUvnGP83FU1hmCyNYZgsjmGYLI1hmCyOdse5wc1AOkxBGfI9I1bNmMIrkRFLiretbE/7n7x6SPfP7xtmz8at6ip0Pmo+fNXwRiCydYYgsnmGILJ1hiCyeZse5wf1ACkxxCcIdM3btmMIbjyFPl8npK5OYp3bayQd/Gxfk+sbxt/OP50lvHzV8UYgsnWGILJ5hiCydYYgsnmbHucH9QApMcQnCHTN27ZjCG4cuQcPaVE05eUzM2Ru/u3x/594Z9+4qrgDGIIJltjCCabYwgmW2MIJpuz7XF+ULNZv5Gz9a/a+Xq6Vlt1eW9a6tevXb+hyXOWqGZuL/2jRhvVatxH0+ct140bN1Pv83qrQXqqeiv935da639e66R3e47T99t/M/Fp4K6zRWE9U7dduX08huAMmb5xy2YMwZWj2KBOSubmKDptVNl/b/FVwfNmGP88qloMwWRrDMFkcwzBZGsMweWfc/S03B07jZ+DHp1tj/ODWlVw68xxXV06Xzd2by/3jz1h5mINGT+/1K91HDBFb7QerF/3HVXiwl/aueewXm0xQEMnlLzf660Gae2mnbp85arOhSIqWPG9nm/QRbMWrSr3M+LxMARXMqZv3LIZQ7D5Ihu+9a/qbV1PoXNemX+/u3OX//ubvqRQYdj451OVYggmW2MIJptjCCZbYwgux85FFB/UWcncHP9+eMe35f5+wPy56IHZ9jg/qFV2VxZMS90uJHNzdHF413L9+PcOwXsOHNfTNdso5EZLvd+ps47+UaONThaGJPlD8Iatu0u9zx/HC/VfNd7V2aJIRmfqMXSGRkxeqPw+E/VM3XZq3XOsCs+H1Wv4TP27Tju92mKADh09k3r/SDSproOnK6dBV9Vq3EdL12xNvW3A6I/13Oud9XSttqrfcqA2bvs19badew7r7bZD9e867VS7cR/N+3KdJGluwRr1/2BO6v2i8Qt6qnor3bx1S5L03Oud9fnyjWrSaaSerul/Ta5fv6HxH32pGg17qdqb3TR6+uepK6gLVnyvVj3GatjET/Vc/c6q27SfDh87o6lzl+n5Bl2U06CrVn5bMvI/7PMp/tp06D9Jz9broNz2w1Nf73rN+ump6q30TN12eqZuO/1+6ISK3Kja95ukb777qcx/DwzBGTJ945bNGIINVxRXom19JXNzFF73zRN/nNiQrv5VwR9PM/85VaEYgsnWGILJ5hiCydYYgssvb+GcUmNP8Rhs+lz04Gx7nB/UsunWmeO6umTeY3fl4wn33S4kc3N0aVTvMn2ch11JfO8QPGvRKrXsNjrt+76TP0yfLftOUvohWJJy2w/X58s3ZvR16jF0hl5tMUA/7Nins0VhNek0Us836KIlq7fqXCii4RMXqF3fiZKk27fv6J38YZpbsEY3b93SmXOuqr3ZTUdOnJUk7Tt8UpFoUteu39Dvh07o2Xrtdf36Dd26dVvP1e+sLT/v1Y0bN3Xs1Hl9sXKTpMcbgpt1/kA/7T6oU2cdXbl6XWM+LFC3IdN16fJVXbx0RS27jU59HQpWfK//vNpRX63arLNFEY2a9pn+UaONJs9ZotNnHS1fu03P1muvGzdvPfLzKf7abP5xj847njq/N1UDRn8sKf0VwV3em6apc5elzl4WDMEZMn3jls0Ygs0W/Wi8krk5ig3unNHHCe/+7e5VwS/LKXSNf15VJYZgsjWGYLI5hmCyNYbg8is+uFPawcc5etr42Sh9tj3OD2rZdH3L2rT/P39wz6f/9YYP+PUHdHlm+mFXun8IHvNhgXqPmJn2fTsOmKLp85ZLevAQ3Pm9qZr2yfK0v/+DqZ+lrlZ9pm47Xb5yLe379Rg6Q4uWbkj988efr1a/kbNT/7xzz2HVbtxHkrT/8MnU/y72/pRFqat7fz90QgNHz9Urzfvrxbe666nqrXTqrKMbN2/p33XaacFX63XxUul/Dx5nCC4eZiXpzp07+neddqWuol6/5Rd16D9Jkj8Edx1U8hzMew8eV/W3e6T++dat23qqeis54dgjP597vzZrN+1Uo/YjJKUfgtv0Hq9+I2c/8Gv9MAzBGTJ945bNGILN5e7dl7qxdw8fz/jjxYZ1968Knj3Z+OdWVWIIJltjCCabYwgmW2MILr/ifd5NO+CYPhc9ONse5we1bKoqVwTndR+T9n0f94rg4itr7xVP/qWzReFUd+7cSft+946di5ZuKDVO7zt8Ui+94w+p67f8on/WzlfNRr1TVXuzm6bOXaZzoYieqdtOBSs26sKflyT5I+7x0+clSZt/2qvc9sP1jxpt9FabIfphxz5JZR+CY4k/9VT1VqXO8NI7PVJXVt87BB85cVbV3uxW6nN+ulZbnS0KP/TzSfe12frz73qrzRBJ6Yfgk4Uhdeg/SV+v/zHt1/phGIIzZPrGLZsxBJsr3rOlP9wumFUuH8/du79kWD5dZPzzqwoxBJOtMQSTzTEEk60xBJdP3hefpr3yL/oJL9xcmbPtcX5Qq+yuLpl3z3MEdynXj3/vELz/8Ek9XautnHCs1PudLAz5zxF8pkhS+iH4yImzerpWW7lePKMzlWUI3nPguF5p3j/tx1mzcYcadxhR6tf+PgQXu3zlmuZ9uU7/+1onSdKCJevVfciHqbc/agi+ffuO/lk7X14smfYcZRmCH/b5SA8fgs87nv5VOz/t77t9O/3o/jAMwRkyfeOWzRiCzRT56nMlc3MU7/iOQu6Fcvu40ZG9/TuiMycY/xyrQgzBZGsMwWRzDMFkawzBGeZdVHTS8JLhd/ooRWdPUiK/gZINn1dk+WLzZ6QHZtvj/KBWFRRfSXzjl23l/rHvHYIlqdfwj/RG68HatfcPReMX9NPug6rXrL+GTfw09T6vtxqktZt26vKVawq5US1etVkvvNFV8xevy/hMZRmCb9y8pddbDdL0ecuVuPCXkhcuavuu/dq557B+P3RC/3m1ow4ePa2QG9X4j77UU9Vb6fjp84rGL2jynCU673i6c+eO1mzcobpN+0mStu/ar+de76wDR07rwB+n1GPojIcOwZI0fOICdX5vqs6FIrp85Zr2HT6ZeoG2sgzBD/t80n1t/j4EX712Xf+o0Ua/7D2iC39d0uUrVzVp9hIdPnaGIdgE0zdu2Ywh2ECnipRo9rJ/5e6OneX6sZ19B/3nCm5SXaFTXBX8qBiCydYYgsnmGILJ1hiCM8hJKDa4s38/u/GLCm9Yl3pbeMtm/wKPTg3Nn5MemG2P84OazfqNnK1/1c7X07Xaqst7JUPl1WvXNXH2V6rRsJf+UaONajbqrQ/nr9CNmyUvOPZ6q0F6qnorPVW9lf7zake923OcNv+4p1zOVZYhWJJCblQ9h83QC2901bP1OqhF19Had/ikJGnynCV6tl4HvfROD81c8LX+57VOOn76vC5fuapewz9StTe76dl67dW000gdOnpGkv+cv8Mmfqpn63XQ63nv6fPlGx85BF+5el0TZi1WzUa99a/a+WrQepBWfus/JUdZhuBHfT4PG4IlacFX6/U/r3XSf7/SQX8cL9T0ectVu3EfrdrwUxn/FhiCM2b6xi2bMQRnv9jo/v5VBBOGVszH/6Cv/5QTH441/rlW9hiCydYYgsnmGILJ1hiCn7DTIcV7tvBH4Ja15e7aXfrt3iXF27/pX+Tx8w7z56W02fY4P6gBSI8hOEOmb9yyGUNwdnO3b/fvRObVUagwXCF/hnPoqP9nNKom53ih8c+5MscQTLbGEEw2xxBMtsYQXPacg0cUz2/gX/Hb/k05D3iB58gX85XMzVFszADjZ6b02fY4P6gBSI8hOEOmb9yyGUNwFnOSird7Q8ncHEVWLq3QPys2ZoB/1fG0UeY/70ocQzDZGkMw2RxDMNkaQ3DZcnftVqJFTX8E7tNaoUL3we9fGFaicTUlGr3A07NV0mx7nB/UAKTHEJwh0zdu2YwhOItf67nTS+5IRi9X6J/FVcGPF0Mw2RpDMNkcQzDZGkPw4xfesE6Jxi/6V/m+3/uxXtw5NnGY//RsC2cbPz/dn22P84MagPQYgjNk+sYtmzEEZyfnwGElGlXzh9kDh7PyZ0bHD/KvCp7yvvHPv7LGEEy2xhBMNscQTLbGEPx4eQtmK5mbU/LTdY95AYe7e49/IUbb+gpFLhr/PKh0tj3OD2oA0mMIzpDpG7dsxhCcneJ9WvtXCMyZmrU/0zlySolGLyjR6AU5R04a/xpUxhiCydYYgsnmGILJ1hiCH1HkL0XHDfZH4EYvyFtWUOaPEe/W1H8auA3rzX8+VCrbHucHNQDpMQRnyPSNWzZjCK74Il8v9Z8Sot0bCjnJrP7ZsQn+j6jFJg03/nWojDEEk60xBJPNMQSTrTEEP6SiuGID2/tX9DZ9Se7WLU/0cSLfrPDv9w/qaP5zolLZ9jg/qAFIjyE4Q6Zv3LIZQ3AFVxhWIq+Okrk5Cm/elPU/n6uCHx5DMNkaQzDZHEMw2RpDcPqck+dSV/ImWr8iZ8++J/947gUlWtZWMjdHzsEjxj83Ksm2x/lBDUB6DMEZMn3jls0Ygiu21BW5w7obO0N08vv+c5yNH2L861HZYggmW2MIJptjCCZbYwi+P2ffISXavOZfxdulUbm8yLI3Z7L/lHAzxhr//Kgk2x7nBzUA6TEEZ8j0jVs2YwiuuNwdO/0rC5q9LOfEWWPncI4X3n2huhfkHDxq/OtSmWIIJltjCCabYwgmW2MILp27fbsSzWr4F20MbK/Q+Wi5fFznyEklcnOUaFZDISdh/PMkP9se5wc1AOkxBGfI9I1bNmMIrqDcC4p3fMe/GmDxIuPniU4b5V8VPPY942epTDEEk60xBJPNMQSTrTEElxRe+40SjV7w7x+PG6xQ5K9y/fixYd39F41bvtj450p+tj3OD2oA0gvUELzv8Enl95moZ+t10D9r5yvsJVJvO3j0tN7JH6ana7bRK837a/uu/am33b59R+M/+lL/+1onPVO3nfqPmqOr166n3l6zUW/tOXAs7Z9p+sYtmzEEV9DXdeFs/0fMujdXyLto/DzFVwX7z1fGVcHFMQSTrTEEk80xBJOtMQT7RT6ZrmRujn/BxqKPK+TPCG/Z7D8W6NTQ+OdLfrY9zg9qANILzBD8+6ETymnQVUvXbJXrxeWEY7p+/YYk6caNm3q5YU/NLVijPy9e1urvftaz9ToonvxLkrR41WbVa9ZPp846cr24WnQdpYmzv0p9bIZgP4bg8s85ekqJxtWUyFda61IAACAASURBVM3J7MUmyrno9DH+j76N7m/8LJUlhmCyNYZgsjmGYLI164fg8J+Kju7vP3Vb4xcV3rCu4v4s75Li7d9UMjdH7o4d5j93su5xflADkF5ghuAWXUdp+dptad/2y94j+t/XOun27TupX8ttP1wr1vnvn9d9jBYt3ZB62w879qlGw16pf/77EHze8fTSOz20fssvkuz6DwRDcPkXG9TJv8Lgw0r2AhGnipRoUt2/Kvj3A+bPUwliCCZbYwgmm2MIJluzegg+H1WsX1t/BG5ZW+6u3RX+Z0YK5vsXYYwdaP7zJ+se5wc1AOkFYgj+6+JlPVW9lXqPmKlqb3bTs/Xaq+ewGfrr4mVJ0pJvtqhR+xGlfk+/kbM1afYSSdKLb3XXtp37Um8rPB/WU9Vb6cpV/+khiofgWOJP1WvWX8vW/JB6X9M3btmMIbh8C6/7xr+D2bqeQuc84+e5t+hH4/07pCP7GD9LZYghmGyNIZhsjiGYbM3WIdg5Xqh4l0b+UzW0f1PO4ePZ+bMLw/5PCTZ6QaFTRca/DrZn2+P8oAYgvUAMwcdOnddT1Vvphx37dPnKVYW9hFr1GKtew2dKkhYu3aCW3UaX+j1DJ8zXyCmLJEn//UoH7dr7R+ptYS+hp6q3Sj11RM1GvbV91369kz9Mny7+ttTHuXPnDlGZu33xT1149xUlc3N0bfsG4+dJ161EVMm7VwXfPH3M+HkqY9ly4+btrP1ZAOx1ndsaAFlQWe/X3Dx1RBfavKpkbo7+6t9Gt/9MZvXPvzz9fSVzc3R1ybwy/17T94mDFl/TYAQgvUAMwcdP+0Pw35/64cdfDujZeh0k+VcEN+k0stTv6Tdydup5gF98q7t+/OVA6m3prgiu0bCX/vNqR0Wipe8QmP4uVzbjiuDyKzptlH+17aBOxs/y0HPOnuSfc0Qv42cxHVcEk61xRTDZHFcEk63ZdkWwu3WLEk1f8u/3vt9bIfdC1s8Q3v2b/9OCbesrFDH/AtI2Z9vj/KAGIL1ADMGXr1zV/3u5tY6dOp/6tR927FOtxn0kSbv2/qHn6ncu9V2hd/KHaemarZKklt1G67Nl36XetuXnvar+do/UP9ds1FsLlqzX6OkFervtUF2+cjX1NtM3btmMIbh8covv5DV9Sc7RU8bP89AKw6k7xe6ve8yfx2AMwWRrDMFkcwzBZGs2DcHhVcuVyM3xX7dj9mSFopeNnSXeramSuTkKf7fe+NfF5mx7nB/UAKQXiCFYkvqOnKW87mMUjV+QF0uqRdfRmj5vuSTp+vUbevGt7pr35Tr9dfGy1m7aqX/XaScv5l/dW7Bio+o1668z51xFov7vHfNhQepjFz9H8O3bd9T5vanq0H+Sbt3yf6TJ9I1bNmMILociFxXv2ti/o7noY/PneZy/9zlT/asjhnU3fhaTMQSTrTEEk80xBJOtWTEERy/LmzXZv0Cj0QsKr1pu/EyRVcv95yce1Nn4WWzOtsf5QQ1AeoEZgi9dvqrB4+bpufqd9eJb3TXl46W6cfNW6u37Dp/U222H6h812qhes37a/NPe1Ntu3bqt0dML9D+vddIzddup78hZpa76LR6CJenylWt6u+1QjZi0QJJd/4FgCC6Hr+EXn/p37jq+U3V+5IurghWKMQSTvTEEk80xBJOtBX4Idi8o9n5vfwRuVkPu9u3mz3T3XImWtZXMzZFz5KT581iabY/zgxqA9AIzBJti+sYtmzEEZ5Zz4qwSzV72B9UdO42fp0x/95986A/Yg7sYP4upGILJ1hiCyeYYgsnWAj0EF7qK92ntj8BtXpOz75D5M/0tb45/lXJ0xjjjZ7E12x7nBzUA6TEEZ8j0jVs2YwjOrNiw7v5TLEwabvwsZe58VInmNavkiF1elfcQ7O7YoeiU9xWd8r7cHTuMf35ED4ohmGyOIZhsLahDsHPklOLt3/QvcOjWVM7Jc8bPdP8ZTypx90rlkJMwfh4bs+1xflADkB5DcIZM37hlM4bgJy+88Tv/qoO8OgoVho2f54n+/j+d6Q/Z/doaP4uJynMIDm/6Xsm7L0pSXHjT98Y/R6J0MQSTzTEEk60FcQh2f92jRKu6/v3ZwZ0VKoobP9ODKr6AJLLiK+NnsTHbHucHNQDpMQRnyPSNWzZjCH7CiuJKtK3v35mrBC9C8cT97arg8I8/mj9PlivPITjeK+++ITjR8W3jnyNRuhiCyeYYgsnWgjYEh7/fqEST6v5TLkwarpBXuV+rI7x5U+qqZdNnsTHbHucHNQDpMQRnyPSNWzZjCH7Cr9usSf6VB/3bGT9Lxp/Loo/9z2VAvvGzZLvyHIITeXXuG4KTuTnGP0eidDEEk80xBJOtBWkILn6x5mRujryC+cbP87glOrzlX4Cxc5fxs9iWbY/zgxqA9BiCM2T6xi2bMQSXPXfv/tQdT/fgUePnyTSnKJ76kbrwdruuCq7oK4KTDZ9XdMwAuaeLjH+uRH+PIZhsjiGYbC0oQ7D34djUfa3I+rXGz1Oms98dsKPjBhk/i23Z9jg/qAFIjyE4Q6Zv3LIZQ3AZi15OvSKx98mH5s9TTkU+/8T/UbVeecbPks3KawiObN+mZMPnlWz4t6eFePc1JRtV87+uebXlrVqmUPSy8c+ZKBRjCCa7YwgmW6vyQ7CTSD3PbqJlbbm7dps/U1krDCvRuJoSjaspdIoLBbKZbY/zgxqA9BiCM2T6xi2bMQSXrciyL/1hr90bCjlJ4+cpt0JxJVrW9q9y3rrF/HmyVHkMwc7vB5Ro+pL/zYG50+X+fkDu7wf8t+0/XOpK4Vj/tnL+OG788yZiCCabYwgmW6vSQ/DpkOI9W/j3w9u/Kedw1b0/FZswzL/fuHCO8bPYlG2P84MagPQYgjNk+sYtmzEEl6FTRUq08F9Yzd2+3fx5yvvfhbs/qmbTVcGZDsHOkZNKtK7n/4jf2PfSv593Sd5Xi5RoVsO/gqXJS/I+mysn/Jfxz5/sjSGYbI4hmGytqg7BzuHjiuc38O+n9mmtUKFr/EyZFP7lV/8+Ydv6CnmXjJ/Hlmx7nB/UAKTHEJwh0zdu2Ywh+PGLjR3oX9U5eoDxs1RI7oXUqBnevMn8ebJQRkNwYVjx9m/6/04M7qJQ5OGvVO0cO6PY4M6pq4Pj3ZrI3b3H+NeA7IwhmGyOIZhsrSoOwe6u3amfWou931sh94LxM5VH8W5N/fvcGzcYP4st2fY4P6gBSI8hOEOmb9yyGUPw4+Vu3+5/575FzUA/n5e3eFFqpDR9lmz0xENwKJ56yod49+YKheKP/Xsj61anBvdkbo68GWPlFD3+7ycqjxiCyeYYgsnWqtoQHN6wTonGL/r3l+ZMDdRrLURWLffvRw7uYvwstmTb4/ygBiA9huAMmb5xy2YMwY+Rk1S83Rv+KxMvLTB/nors71cFb/zO/HkquCcagiMXFRvcJfUcdaHToTL/uU6hq+iEoSUvLNf2dblbtxr/epA9MQSTzTEEk61VpSHY+2yufx+p0QsKr1pu/DzlnnshdaWzc+Sk+fNYkG2P84MagPQYgjNk+sYtmzEEP8bXaN6Mkis/vYf/+H8QiiwtsOaq4CcZgqNj3/MfmOTVyfiOu7t9u+Id3koNwtHR/eWeOm/860LBjyGYbI4hmGytSgzB3kVFxw3272s1qxHI1+UoLjp7sn//b+YE42exIdse5wc1AOkxBGfI9I1bNmMIfnjOoWNKNK6mRG6OnD37jJ8nK4X/VKJtff8K6A3fmj9PBVbWITg67yP/gUnTl+T+trdczuC4SXmzJyvZuJo/wOfVlrdyaaB+/JEqXwzBZHMMwWRrlX4ILoqnXk8h0eY1OfsOmT9TBeYcOanE3cE75CSMnyfo2fY4P6gBSI8hOEOmb9yyGUPww4v1z7fyO/WR5Yv9UbJTw0C/mnFZhuDwNytSP6LobttW7mdxfj+geI/mqauDY/3byvnjuPGvEQUzhmCyOYZgsrXKPAQ7J8+lXkAt3q2pnJPnjJ8pG8WGdfcvvli5xPhZgp5tj/ODGoD0GIIzZPrGLZsxBD+44hdxSLStr5BtL+b1t6uCw9+uMX+eCupxh+Dw5s1KNHrB/3p8s6LizuRdlPfFp0o0ffnulcfV5S2YLSf8p/GvFQUrhmCyOYZgsrXKOgQ7+w4p0eY1/xvhgztbdb87vHlTavw2fZagZ9vj/KAGID2G4AyZvnHLZgzBD6gwrERenbtPj7De/HkMFPl6aeCvCn6cIdj9ba8STar7r1j96aysnMs5ckqxgR1SVwfHOzeSu3uP8a8XBSeGYLI5hmCytco4BLs/71CiWQ3/J/AmDbfi9ThK5V1SvP2bSubmyN2xy/x5Apxtj/ODGoD0GIIzZPrGLZsxBKcvOmmEf1XCoE7Gz2Is72LqjmlkzSrz56mAHjUEO4eOpb4hEJ04LOvni6xeqUSruqlB2Js+Ro5FV8lQxcUQTDbHEEy2VtmG4PDab5Ro5L9GglfwqfHzmCry+Tz/vub4QcbPEuRse5wf1ACkxxCcIdM3btmMIfj+3N2/pV4QzDl6yvh5TBa5+7y48fZvBvIKjYcOwadDiue/fvfHFLsY+/ydM46i4waVXB2c30CR7zca/9pR1Y4hmGyOIZhsrTINwd68Gf797SbVFbb9fk1h2H9x6sbVFDpVZP48Ac22x/lBDUB6DMEZMn3jls0Ygu8pclHxro39q2A/n2f+PKb7+1XBFfncuIZ64BBcFFO8u//CbfFeeQqFzF+F627frni7N0peTO79XgqdOm/8XFQ1Ywgmm2MIJlszNgSfiyg65f2Sb2p3ylWy4fNKtKor91ee+ioUu6LohKH+ldGL5ho/S1Cz7XF+UAOQHkNwhkzfuGUzhuB7vh6LPvbvoHZtrFAkeFfAPkmRNasCe1Vw2iE4clGxge1LPufCsPFzFueE4op+NEHJuy9cl2hZS5EVXykUvWz8bFS1Yggmm2MIJlszNQRHZ09KjcDFJVrWlnPE7p+8+3vhX34teZHqgL42h+lse5wf1ACkxxCcIdM3btmMIbgk98jJ1J1T95fdxs9TmYp38a+S9gJ2VXC6Ibj4aRgSrV+Re+Sk8TOmK/zrHsW6Nyu5Orh/O7mHjhk/F1WdGILJ5hiCydayOQQ7x04psm2bvMWLUi+6W2oIbv+m8a9HZSves6X/U3ibLH+qjArKtsf5QQ1AegzBGTJ945bNGIJLig3p4r9Qw5SRxs9S2QqvX+tfIdv2deNnKc/uHYK9WZP9ByfNasjdu9/4+R6V9/knpR5UeQtmGT8TVY0YgsnmGILJ1ipiCHaPnFB4y2Z5X3yq6KRhivdprUSzl0uPvrnP3z8Ed3jL+NejsuXdfW2O2JAuxs8SxGx7nB/UAKTHEJwh0zdu2Ywh2C+8fo1/pzSvjkLnPOPnqXR5lxTv9I5/lcKKr8yfp5z6+xDsffWZ/+9Ao2pyt20zfrbHzfnjuGL925Y8717nRnJ383x79PAYgsnmGILJ1p54CPYuyj18TOFN38srmK/ohCGK92p53+CbGnnffVWxwZ0VnTlB3sqlpZ4fOPXN64VzjH89Kl1OQomWtZXMzZFTSX8qrSpn2+P8oAYgPYbgDJm+cctmDMFXFDrnKdG6nj9yrl5p/jyVtMiGb0ueuyz8p/HzlEfFQ3D4u/VK3H1gEl632vi5ylz0srxVyxTPq13yAGv6aDnno+bPRpUyhmCyOYZgsrVHDsGRi3IPHlVk43fyPpur6LhBivVorkSTl9IPvq3rKfZeR3kzxiqyfLHCO3bKORtJ+7G9hXMU75WneK88RZYUGP9aVNaKn085OnOC8bMELdse5wc1AOkxBGfI9I1bNmMIviLvw7F3n2c13/hZKnvxrk38wXzpF8bPUh5dv3lb0V9/VaJxtUC8UrNzxlF09ICSq4Pbvq7I9xuMn4sqXwzBZHMMwWRrxUOwE/5T7oHDinz3rbwFsxQdM1Dx7k2VaPJi+sG3VV3FBnaQN32MIsu/VPjnHXJOh4x/PkHMufuaJYlmNRRyEsbPE6Rse5wf1ACkxxCcIdM3btnM9iHY2bNPidwcJRpXk8OLbT2y8MbvSq4Kdi8YP0+mXT19QokWtfwrL6Z+YPw85ZW7dasSbV8veTG593spdOq88XNR5YkhmGyOIZhsyQlfkLvvoMLr18qb/5GSYwco2b2Jkne/AX5v8bzaig3IlzdtlLxlBQr/+JNc7j9kvdjQbv6FF18vNX6WIGXb4/ygBiA9huAMmb5xy2ZWD8HeRcW7N/dHwPkfmT9PFan4qmDvq8+MnyWTnJPnlWxb3x9Kh/dQyLtk/Ezl+vkVxVNXuydzc5RoUUuR5YsVil42fjYyH0Mw2RxDMFWJzqV/ioV0OU5C7t59iqxbrci8DxX7oK/inXOVbPRC+it8W9RSrF9bRaeMlLfkM4W3b5d74qz5z5kUil1ReNP3/jDfranxswQp2x7nBzUA6TEEZ8j0jVs2s3kI9hYv9O9kdXwnEFe3Zqvw5k2p54Wrsl+3c57iXRv7n0e/NlX383iM3N17FO/cqOTq4D6t5Rw8avxcZDaGYLI5hmCqzLm/H1C8d17qv9vR2ZNTb3NCMYV/26vI2lXy5k5TdERPJTq+nXbsTebmKNG8pmJ931V0ygh5ixfpzx0/6WIRT+lQ6fMuKXH3YgV35y/mzxOQbHucH9QApMcQnCHTN27ZzNYh2D1xVolmNfwXB9v+o/HzVLXivVv5VwUvXmT8LGXNcS8oNiBfydwcXejaWNGQHS+o5i2YXfrVurkK3uoYgsnmGIKDl7tjR5muoK3MxXvl3Tfoxrs3U7zdGw8cfJO5OYr3aa3opGGKfrFAkR9+kHPs1H0f+5EvFkeVJq/gU/8bAROGGD9LULLtcX5QA5AeQ3CGTN+4ZTNbh+DYyD7+natxg4yfpSoW2b7t7lXBr8gJxYyfpyxFR/f3z97mNV1zihS9cM34mbKVe+iYYv3blTxo7NxI7i6uNLExhmCyOYbg4BRZ87WSeXXTXj2baU4oLqfQlXO8UO6hY3L37lf4l90K//Szwls2K7JhnSKrVyqyfLG8xYvkfTZXkU+my5s5Ud7UDxSdMETR0f0VG9Zdsfc6Kt7nXf8F2Tq+o0Sb15RoWev+Qbfh8w8Yekt+Pd4rT9EJQ+QVzFN4y2a5R0489ufEEFx1cs44qb9z54xj/DxByLbH+UENQHoMwRkyfeOWzWwcgoufdyvRopbc00XGz1NVi/V917+ytOBT42d53LwZY0v+7vcf0vWbt60agouLrPgq9SJ5xS+U55zzjJ+LshdDMNkcQ3Awco6eLjUCp/6bNnOivJVL5S35TN7nn8ibN0PerMnypo/xr5gdM1DRET0VG9xZsX5tFevRXPHOuYrnN1Air85Dr7qtqBLNaijR+hXF2zVIf7VvvzZyD2f+osYMwVWr6ISh/n3tzz8xfpaqnvv7AV1dOl/u7weMn4UyC0B6DMEZMn3jls1sG4IdJ5H60brIiq+Mn6cqF/7xJ//BS14dOUVx4+d5VMU/YpfMzVH4x58Uil2xdggOxa7IPXlO0fd7lTwIbfOaIt+tN34uyk4MwWRzDMHByN2xI/2w+sCrap9goM2ro3h+A8U75yrWo7k/HA/urOiInv6gPGmYvOlj5M2e7A/OBfP8AXrlUkXWfqPIxvUK/7BV4Z93Krx7j9z9h+T+cVzuyXNyznpy0rxGQeyDvvedw92xo1y+ZgzBVavw7t/8bwTkNzB+lqpcdPL7pb9ZNOV942eiJw9AegzBGTJ945bNbBuCvTlTlczNUazvu8bPEoSKn2agsl+pEFm3OnXnL/Lt2tSv2zwEp742G9cr0ea1kjvH7/eSe/Kc8XNRxcYQTDbHEFz1c4riio4dmP7q2R7NFZ36gaIfTfCfquGzufIWL1Jk+WL/qRw2rFN48yb/KR5+2S137365h47JOXbGfyqIkPlvbnsL5yg+uJPigzuV2wgcijEEV8XiPVv6FzFs+t74Wapi7u8H0t5OeKu/lnM2GM8rblsA0mMIzpDpG7dsZtMQ7O4/VHJlxb5Dxs8ThMI/+1fjJFrWqrRPLRDe/mPJyPnFglJvYwj2c85H5U39oNSPqHrLCoyfiyouhmCyOYbgql1k3eq/fQOz9NW/ibw6gXnRuIqIIbjq5a1a7l/EMrSr8bNUxbyFcx75kwOJDm8p1j9f0dH9Ff1ovLyC+f43jbZtk7vvoJzTIeOfB5UEID2G4AyZvnHLZjYNwfE+d5/TthxfSISuKD6wg/91XTDL+Fnuzd27X4nmNf0ReMa4+97OEFy68M6dSnR8J3XHONY/X5E1qxQb1U/xQZ0VWco4HJQYgsnmGIKrZu7BI4oN6lTyzd0xA+QeL1RkSYHigzspOnsSI/AjYgiuejluUvG82v6FLOXwPNG2VZ5PIRPPb6B4n3cVe7+3vGmj5C2YJW/lUv8nDH7bK/d4ofHP14YApMcQnCHTN27ZzJYhOLLiK/87vm3rK1QFns+2KuX+ttf/2raoqdD5qPHzFOccL1SidT3/weIHfRTyLt33PgzBab5u4Qvy5s1QosmLae8kR2dPMn5GyjyGYLI5huCqlROKyZs9WcnGL/pjTKeGcn/+2fi5qmIMwVWz6OxJ/n2wWRONn6WqFd6xU8mGpe/Lxj7oW/I+3kW5p87L3btf4a1b5K1a7j+dzIdjFfugr2J93/VfX+bu7c9jPbf4u68q3qOFYsO6KzplhLx5MxRZ/qUi32/wn47m6Ck5bjLjz805elrujp3WvQAegPQYgjNk+sYtm9kwBLuni5RoUYvn16rAYkO6+FcFz//I+FlCsStyCl3FOzfy7+wNaJ/2xVhCMYbghxXe/8cDXz3d9Nko8xiCyeYYgqtOkW/XKt62/t2nLXr5vqd4orLFEFw1c/847n8TJK+2HCdh/DxVJffkOSVav3L3NTB66+qSeRk9FnROh+TuO6jI9m2KrF4p7/NPFJ0xTtHR/RXrn694h7fK9mKULWsp3rWx/wKU44fI+3iq/3zm365V+Oedcg8efeBT70XWfK1kXt2ScXtUP+Nf72wFID2G4AyZvnHLZjYMwdFxg/07ACN6Gj9LUCt+VeNEi1pyCl2jZ3GchOJ9Wvt3mLs2fuhzFzMEP7z44E5p77jGW9RUdMwARVYukXuIH1OsijEEk80xBFf+wgeOKHb3qaf8p4EYyAuZlkMMwVW32LBu/kUXq5YbP0tVKTYg/+5TnbVTKHYla4/znUJX7oHDCm//UZE138gr+FTRjyYoOmagYgPaK9HxHSWavvz4g3HTl5Xo+I5iA9orOmaAotNGKZnm90eW2PEUbgDSYwjOkOkbt2wW9CE4/ONPqf+AOjxvU4UWG9bdv4M6d5rRc0SH90j9WNajnquLIfjhRZYU3H+HtNEL999B7fCWvGmjFFm/Vk5h2Pi56dExBJPNMQRX3pxQTN6sSSXfeOzSWOGfdxo/V1BiCK66hTd974+aPZoZP0tVqPh2JNG6rtyT5xWKZW8Iftycc57cg0cU/nmHIuvWyFu8SN6syYqOG6TYex0V75ybeq2Tx3l+41JPeRHgAKTHEJwh0zdu2SzIQ7DjXlC8Y0N/nFy8yPh5gp67d1/qRzedM46RM0SnfpD6Uavw/j8e+f4MwY/xNZ39twfkvfLk/n5A4d2/yfvsE8Xe65j+iuFeefLmTlNk2zZ+hLGSxhBMNscQXDmLrFujRJvX/P+ON6/JfbcKiCG4ahdv94b/VHe7fzN+lspcZOP61H3S8I6SbyRV1cf5Tigu9/AxhXfuVGT9WnnzP0p7/9tbOMf4WbMRgPQYgjNk+sYtmwV5CPY+nZl6eoCQd9H4eWwoOrK3f0fk4ynZ//teONt/8Ni4mtxdux/r9zAEP2bnInKOnk77NsdNKrz9R3lzp/lPyXHPFcOJptUVG9RJ3uefKLx7D/9frCQxBJPNMQRXrpyDRxQb0K7kaSAmDJF7usj4uYIYQ3DVLvL5J/7/R8YPMX6Wyppz8KgSzWr4T5XwxfxSbwvS4/y/X6iRzM1RIq+OQucixs+VjQCkxxCcIdM3btksaENweNP3SnR8++5/FJ9XsuHzcvmuedZy9h28O/69pNCp7D2IC3+zwv9zc3MU/m79Y/8+huAK+HfgnKfIxu/kzRireJfGaV8YI/ZBX0WWL+b5hQ3GEEzlWWRJgeK985To+LaisydX+gejDMGVI+f83aeBaFzN/8Z9t6Zyd+4yfq4gxxBcxSsMK9G4mhKNqynEU3Hdn5NQvHOuP5aP7HPf24P2OD+y5mtFZ0/yrwSu5P/dLc8ApMcQnCHTN27ZLEhDsHP0dKlXT03m5ijZpPoDr2Skiin2QV//DtisiVn589xt25S4exVqZPniMv1ehuAs/P2cPK/I2lWKThyqeNvX738aiXYNFJ00XJF1q409pYiNMQRTeZXuucSjsycZP9fDYgg2X2TtNyVPA9GylrylBfzESBZiCK76RccP8e/zfv6J8bNUtqJjBvr3LTu8pVBR/L632/Y4P6gBSI8hOEOmb9yyWWUfgp0zjtzDxxXevUeRbdsUWb9WkRVfySuYJ2/OVEWnjFR0dH/FhnRWvFNu2udLiqz52vjnYVPh/X+kvvbFL85QYX/Wb3uVaOa/aq43Z2qZfz9DsIF/Pw4ckbfsC8U+6KtEy1r3v9BFj+byZk1SeMtmOaGY8fMGNYZgKo+c81ElOr6T9r+9ps/2sBiCzeXuP6TYwA4l3zSYOFTO6ZDxc9kSQ3DVL/zL7rvfSH/D+FkqU96yL0qeF/gBrxNi2+P8oAYgPYbgDJm+ccta5yKKLS/Qpa/myd2xo8L+HPfUef8VUX/ZrfDWLYqsWy1v2RfyPpvrvzLq5BGKfdBXsfc6KtajmeLtGqR/hdRH1TD9rzMEZ7/i78hHPxpfcf9e/XFcidb+FeDRcYOf6GMwBJsv/OseeQXzFRvSSue8bAAAIABJREFUOf0rIA9oL+/TWXJ3/WL8rEGKIZieJOeMo8jG9YrOGKd4z5YP/W+v6bM+LIZgA//unI8q+tH4Ut/04wWvsh9DcDCK92jhD56bvjd+lspQePdvJY/71q1+4PtZ9Tg/wAFIjyE4Q6Zv3LLSuYjivfMe60c5nVBM7vFCufsPKbxzl8KbNymydpW8JZ/LWzBL0ZkTFJ04VNH3eyk2oL3i3Zoo3rZ+2YfcNCVa1FK83RuK9WjuD8Uf9FV08gh5syb7Q/KyLxRZt1rhLZsV3vbDfVcY2vTE+ZUp9+CRkquCT5wt94/vnA6lrkKLDe78xB+HIbhy5bgXFP7pZ0XmfahY33fvvz1oVkPR4T3lLflc7v5Dxs9blWMIpsfJPXJCkTVfy5s2SvGuaZ7z+91XFe/a5P5fz6sjp9A1fv4HxRCc3SKrVyrx7qup+3VlfRonKr8YgoORt2qZfx94WDfjZzGdUxhWvF0D/6cDPxz70Pe15nF+wAOQHkNwhkzfuGWjdM/pl8zNUWxgB8X6tVW8S+PUnfaMx9xWdRXv2FDxPq0VG9JF0TED5U0bJW/uNHkFn8pbuVSRDesU3r5d4d/2yv3j+BM/gHR/P+D/yHmHtxT7oC/PD2yw6LjB/p2y6aPL9eM6objivVqmrihy0jwH2OPGEFy5c85HFdm0UdGPJjxwhIqOHyLvmxUV/jQkQYshmNLl7j+kyIqvFB07KP1zend4S9GJQ+WtWib34NHU7/MWzlEir47//8vWryjZ8HnFuzautD/yzxCcvX+fYv3blVxwMGVkpf4GgQ0xBAcjx0konlfbv+DiyAnj5zFZbFAn/79PfVo/8n1teZwf9ACkxxCcIdM3btmo+AW97n96hefvH1uavKR42/qKd2ui2IB8RUf0VHTCUEU/Gi9v/kx5Sz5TZM3XimzaqPCOnXL3HZJz7Iyc8zy/p805R04p0egFJRpVk3O8sHw+buSiYoO7+Hf48l9XKMORgSG4auWeLlJk3WpFJ49QvN0b949UXRorOmOcIps2yjkfNX7eyhxDMIW8iwr/tlfe4kX+N1Bb173//1Pdm8qbPkbh9Wsf/5stRfHUFf3xTu9kfDtdETEEV2zO+ZiiMyco2bia/+9B71Zyf9tr/FzEEBykorMmPvQnOm0oOu+jkp9COXnuke9vy+P8oAcgPYbgDJm+cctG6a4ITjSvofCGdf5z+R44IvfkeTlu0vhZqeoWnTjUv5M69YPy+XgT/FdKjufVLnU12pPGEFy1cw8dU2T5YkVH91ei1f0jVqxfG3nzZij88z3PgX4uIm/hHMVG9VNkaYHxz8NEDMF2Fv55p7zPPlFsSBclmr58//Dbp7W8OVP8F2s86z3xn+MUxRUbkJ/6Bk1luzKYIbji+vvTQMTzastbudT4magkhuDg5B45UTKCOgnj58l24R+2pv7bFf7xp8f6PbY8zg96ANJjCM6Q6Ru3bBUf3KnUA0BeVI3Ku1JXBR85mdHH8uZOv3uFevVyu7KIIThAeZfk7t0n78uFig3rpkSz0iNXotnLig3rJm/Rx0rkNyg9GI/qZ/78WY4hOPg5RXFFfvjBf87t/u2UaFq99P8nmr6s2KBO8ubPVPjHn8p/SLjnyuDHuVorWzEEl3/OvkOK9W3j//vV6AV500bJKQwbPxeVjiE4WMWGdPUfw329zPhZsplz7Ezq6Yi8hXMe+/fZ9Dg/yAFIjyE4Q6Zv3LJZdNdOXdm0lufSpQorOmWEf1Xw5BFP/DEiK74q+YbFpo3ldjaG4GAX/nmnvPkzFeuf/9Cnv0nm5sj9/YDx82YzhuDg5RSGFfl+g7zZk1PPo15q+G1ZS9HhPeR98ancX3Zn50yhmGIDO9wdgxvKrSRjMENwOf4dn/MUnTGu5Btrfd+Vu3e/8XNR+hiCg1Vk08a7r5nRzPhZslm8R4snerE82x7nBzUA6TEEZ8j0jVs285JXdePmbePnoODmHDtdMrY9wQtaRL7fWDICr1xSrmdjCLYnJxRTeMtmxfu1TT8E79hh/IzZjCG46uccO63w+rXypo9RvHvT+4ff1q8oOrq/vGUFcvfuM3fOUFzxu2NwouM7ck+cNf61YwgunyKrV/ovDpibo0TrevJWLTd+Jnp4DMHBq/g1E8K79xg/SzaKThnp3+Z0eKvMT2Fk2+P8oAYgPYbgDJm+cctmDMGUjbypH/hXBU8YWqbfF/5ld8kIPO/Dcj8XQ7B9RdZ8ff9gllfHup+KYAiuerkHj8j7eqmi4wYp3vb1+/897vi2opOGyVu5VO7BI8bP+/ccJ6HYex1TY7Bz7IzR8zAEZ5a7/1DqOaCTuTmKzhiX0XNKU/ZiCA5eXsE8//+HE8t2H7sqFlm9suQb+E/wkwe2Pc4PagDSYwjOkOkbt2zGEEzZyDleqESjako0ekHOY77Im3PomBItavl3bse+VyHnYgi2s+jsSSXjWe7z8j6ZYfxM2Y4h2GzO0dMKnYs8+H2Kn/N6aYH/Yoh3r7os9dzWPZrJmzFWkfVr5Z4uMv45PTInqdgg/7UJ4vkNjI7BDMFPlnPOkzdjrJKNXrj7NBBt5PA0EFUqhuAAVhhWonE1JRpXUyjAz8vt7DukRNOXMnpOZNse5wc1AOkxBGfI9I1bNmMIpmwVnT7GH3XHDXrk+zonzyue71/xFhvcRaHIxQo5E0OwvTlHTys6bpCSDZ9XdMpI4+fJdgzBZnKOnla8d17pFyo8F5ET/lPuL7vlFcxXbFj31DfBUjV+UbF+beR9PFXhLZvlnI8a/1yeKPdCpRiDGYLLWPRy6aeBePdV/wWGo5fNn43KFENwMIuOH+wPpJ/PM36WCumcp3iHt+5e+TzsiT+ObY/zgxqA9BiCM2T6xi2bMQRT1jpVpEQT/1XrH3pVcFFM8a6N/aGge3OFQvEKOxNDsN05h476o0bzmgq5F4yfJ5sxBBv6ug/udP9TOuQ3UKLpy6V/rdnLig3uLG/BLIV//EmOmzR+9nLr3jH4yKmsn4Eh+PFz9u5XrG+bu9+QqKbozAlyzseMn4ueLIbgYObu8p9KLd7+TYW8S8bPU65FLys2rLv/+fVskdH9Ndse5wc1AOkFbgi+dv2G8rqPUV73MaV+/eDR03onf5iertlGrzTvr+279qfedvv2HY3/6Ev972ud9Ezdduo/ao6uXrueenvNRr2158CxtH+e6Ru3bMYQTNksOnOC/938MQMe+D6pFxXq8JacM06FnochmGL9/IEjsm6N8bNkM4ZgM6V7ocJkw+eVaFFL0fd7KfrFAoV3/2r8nBWd415QbEhn/4F929flHjmZ1T+fIfgx/o7OevKmjy65en1AvtwDh42fizKLITi4xXo09180bstm42cpz7yC+f7jgpa15BzL7BuHtj3OD2oA0gvUEHzr1m11GzJdjTuMKDUE37hxUy837Km5BWv058XLWv3dz3q2XgfFk39Jkhav2qx6zfrp1FlHrhdXi66jNHH2V6nfzxDsxxBM2cw9XVTyIg9pHlBGxw66++rjdeX+cbzCz8MQTN7Kpf7IMaSL8bNkM4ZgMyXyat83BMf7tDZ+LlNFR/S8OwbXl3v4WNb+XIbgh+d9s0KJ1vX8/x63eU2RdauNn4nKp//P3pt/RZGla9v/T6/1vf1973mHcw41dVV3dXV19zndXYWWNVhV4ogKIqAIAiogCjiLOIAjOKAiioooOCCiKAoqCigzZCY5kFgOETvS4f5+2JBJQqBAZsbOjHjuta7VXQIZOyIzdsS+csezSQTrF1vpCX4/kxIlvC3+ov9Grfta2X/1is+vZ7Rxvl6hUCjq0ZUITs4qQHbeUZScr/YSwXX3mvHvf12At2/fuf8tfG4qTp67BgCYGbUWB4ovuH92tbYRn38b4/7vkSK412zDZ99Eo/xyHQBjXSBIBBNaM7xQlyMtzuvfbdvX80HnjM9gqb+nSVtIBBOmHhuc0z+BMzwM5rZe8e3RCBLBArC9gHPev8aI4P7KS+LbJgrrcziSF7uFo7lJGxlMIlgd7zIQn8C2YwOVgdAZJIJ1jNkJ509/4vczGj9lEQjMbT3uL6Ts+dv98ppGG+frFQqFoh7diOBNu49jxdrdePfu3RgRfOz0ZUybu8rr9+PX5CEn7xgA4JN/RuHazUb3z7p6+/G7T3+GJPPyEMMi2OH8DV99vwzHy666f1d056YlJIIJzenqd6/6a254AJNDgu3Ifi4Cpn0Ey7VrmrWFRDBhckhwZCYMLbKyR3hbtIJEsPYMl8Zx/vQlBpbPhiMtDpbaWuHtEs5IGfzLXzSRwSSCvTH32GDbshaD0z7iX9SumA/zw2bh7SL8D4lgfeMuwZa3QXhbfML6AgOxv/D+KHGB3+oeG22cr1coFIp6dCGCSy/UYEHCRrx+8wYAxojg/cUX8NPiDK+/Sc4qwJqNBwAA//sv83Dr3mP3z/ptTvzu05/dpSO+mLYU1bfu45vZKdh75LzX67yUXxsGib3Gm7fvhLeDMBbPdmVj8Nv/HFEjk//v8wulmrbjzdt3kNgbIcfgueQS/j4QQ+/FzWr+OVzwjfC2aIWsvMHrN2+Ft8MoPC8v5Z+x7/+AFy3Nmm77hSR+/z/YxhcynqXH8mP069d40dEe0O29ffcOr5j4/RbB8+uX8dvhPXjR8hgvJRdelJ/C4C9/4cd+zn/h+eVy4W0kAofiegvX68D0/XRfI54XXV38XP7pT3jx/JXw9kyV33bzpwcH5/43Xtgcfntdo43z9QqFQlGPLkRwTt4x/P6LWfj9HyPw+z9G4P/5/Ff87tOf8fs/RuCVxHDs9GV8t2CN19/Er8lz1wH+5J9RuF73wP0ztRnBn38bg//z9XxY7YNerzP4QjEMz1+58ObNW+HtIAzGirljF0xKWqB5O16/eYsXkkvIMXC+UPDspYsIEgZnfY3B8DD8dr9BeFu04BV7g9dv3glvhyGou+nu555VV2m+feeLIDgGE2Rw7TJ+rGb9Fc9aWgK2nXfvgOevXgvfX80ZPr7D/PoXz//fuxW/DTwT30YioMjKGyiv3wbktYXfWxKclEX8enO+VHxbpsCzyxWea+aDRr++ttHG+XqFQqGoRxcieHRGzwi+de8x/uNvkXj3zlMj+JvZKSguuwIA+GlxBg4er3D/7PKNe/j0X9Hu//5i2lLsO1aOjC2F+FdEMl5Jsvtnoh930BIqDUFoTo91rAQOD8NA0gLN20KlIYhhbDs3YTA8DLYta4W3RQuoNIQ2WB4/wcDQAnG2wnzh7QkF7GuXexYNVVlU1B8YsTSEteyU6rXXEfcrLBrVZibE8+wllYbQO/2Vl/h9dcxPwtsyWSxNrXD+8AUv13XiiN9f32jjfL1CoVDUYwgRrCgufPLPKOQfPofnL17hbOVN/M8v58Dm4LN7C09exFffL0NnjwVW+yB+XJSBtVsL3X8/XCP47dt3iFyxCfOW5eDNm7cAjHWBIBFMiIBEMBFsmJtauHz64QuYLM+EtyfQkAjWgG4rBuZ/w+s1Zq4Q355QwfoCjtUx/Hz8+c8wP3js920YUQTb9u9UvfZay04JbxuhHSSCDYDtJZwRf+OLkd6uF9+eiWJ2YiAynF8z1yYEZBtGG+frFQqFoh5DiGAAaHzUhn9FJON/fD4LX30fj6qae+6fvXnzFhlbCvF//7oA//bnOYhbs8Nr1u+wCAaAVxLDvyKSsSpnHwBjXSBIBBMisOfljBmM9lde0rwdJIKJkQwvTGK9cE54WwK+rySCA44jKZLPuIyfBbMBvlzwN/bMRLcMtgwtLOovjCaCLc1PMbD4O1UR7O9jSwQ3JIKNga0wnwvV7GThbZkow33+QNQMmM3OgGzDaON8vUKhUNSjSxGsZUR3blpCIpgQhW3/TgwkLcBA0gIhEtjkIBFMeGM9fpiLu9Ro4W0JNCSCA4t9Uzof0M79B0ydZuHtCUlsL2BP5zVtnT/9CWY/CkujiGBz/3PYDu2Bc8Yf3AtIjZTA9g2rhbeR0BYSwQahqx/O6R/DOf1jmLr6xbfnA1iLC3lf/+MXMD9+GrDtGG2cr1coFIp6SAT7GNGdm5aQCCaMDIlgwoseG5zTP4EzPAzmtl7x7QkgJIIDh/XoIc+A9mGz8PaENAGSwUYQwZZbde5ZwM4f/wjb8SKYbC/RX3kJtv07aSawQSERbBzs6/kMW2thgfC2vA/L7Xo4p3/Mnw68XBXQbRltnK9XKBSKekgE+xjRnZuWkAgmjAyJYGI0jgy+UJWtaK/wtgQSEsGBwVJdDee0j+AMD4Olulp4e3SB7QXs65LcMthS3+Dza+pZBJu7bbBvSvMsBpceD0u7vr/YIiYOiWDjYLlZ53kyxfZSeHtU6eqHc9Zf+X3Xro0B357Rxvl6hUKhqIdEsI8R3blpCYlgwsiQCCZG03+5ig+cFn0nvC2BhESw/zE/bIbzR77aue3wPuHt0RX2Vx4Z/OMXPstgvYpg67kyOH/9mvdhc/4blitXhLeJCC5IBBuLgcUzNJlpOyVsL+FIXMC/sFo2Gybri4Bv02jjfL1CoVDUQyLYx4ju3LSERDBhZEgEE2OwvXSLFEv9PfHtCRAkgv1MpxkDc/8xtDhPivj26BE/ymC9iWBzc7t7ccLB6R/DtiMHZtOA8HYRwQeJYGNhLSkO2rUP7PnbeX8+668wdZg02abRxvl6hUKhqIdEsI8R3blpCYlgwsiQCCbUsO3cwGd1bssU3pZAQSLYj1ifwxH3Kx9sL58Lk/W5+DbpFfsr2HNSPTK47s6UXkcvInj0YnADMTP9uqgeoT9IBBsMsxPO7z/nax80t4lvzxCW6mrej0//GJbb9Zpt12jjfL1CoVDUQyLYx4ju3LSERDBhZEgEE2qYm1r4AGXml7qVeiSC/Yc9O4VLuPnfwNRtFd4e3TNSBn//hynJYD2I4DGLwR07FLx1QImggUSw8bDnZvEvt3duEN4Wk0OCubUTzplf8jYdOaDpto02ztcrFApFPSSCfYzozk1LSAQTRoZEMDEeA0tn8rp6FeXC2xKQ/SMR7BesRQXu2anmR0+Et8cw+CiDQ1kEj1kMbnUMzE+7hbeLCA1IBBsPc3Obe7FNk+WZ2PZYnmFgyY+8jNKaWM23b7Rxvl6hUCjqIRHsY0R3blpCIpgwMiSCifGwFhcODVSWCm9LICAR7Dv9VVVwhofBOe0jWKqrhbfHcIyWwbU3J/y3oSqCvRaDm/1fsF66KLxNRGhBItiYOFYuxGB4GKynTwpth/sJmshwmPq0r2NutHG+XqFQKOohEexjRHduWkIimDAyJIKJcemxwTntIzinfQRTp1l8e/wMiWDfMDc8gPN7XpfVWlwovD2Gxf4K9s3pXAbP+GzCMjjURLDXYnDTPoI9NwtmARKFCH1IBBuT/osVXMAuniGsDdbSE0Nf3H0O88MWIW0w2jhfr1AoFPWQCPYxojs3LSERTBgZEsHE+3CkxQ3VsNsvvC3+hkSwD3Sa4Yz4O58xvildfHuIScvgUBHBYxaDi/4BlruNwttFhC4kgg2K7SWcEX/DYHgYLLfvar59c2MTnDM+4yW3Ll4QdhyMNs7XKxQKRT0kgn2M6M5NS0gEE0aGRDDxPvorL3H5sug74W3xNySCp4jlGRxxv/LarEmRMNleiG8TAZNjlAy+fv29vxsKIthrMbjvP+eLKtHnjfAREsHGxXZgN7925aRqu+0eGwbm/ZN/ebp9vdBjYLRxvl6hUCjqIRHsY0R3blpCIpgwMiSCifdife5e2dpyt0F8e/wIieCpYc9cwb8cmP8NTL124e0hvLFtX8/F6fRP3iuDg1kEj1kMLiUK5tZO4e0i9AGJYAPT3gfn9I/hnP4xTF392mzT/gqOlCh+3Yz9BSbrc6HHwGjjfL1CoVDUQyLYx4ju3LSERDBhZEgEEx/CviObz2LJzRLeFn9CInjy2PbvdK+8bn70RHh7iHHepwnI4GAVwV6LwUX8DdaKcuFtIvQFiWBjY1+fyGvbFxVosj3roT28P/7lK5jbeoTvv9HG+XqFQqGoh0SwjxHduWkJiWDCyJAIJj6E5d59PoiZ+aXwmSz+hETw5OivKOefg2kfw3KjVnh7iPfjJYOvXBnz82ATwV6LwYWHwbY1E2aacU4EABLBxsZSe4t/0TT3HzDZXwV4Wzfdi+5OdCHPQGO0cb5eoVAo6iER7GNEd25aQiKYMDIkgomJMLCI1+nsr7wovC1+2ycSwRPGUt/gWeTm9Anh7SEmhkcGfzxGBgeLCB6zGNzi74Qs5EQYBxLBxMDiGfx6drkqYNswt/XA+ctXfPbxoXzh+zyM0cb5eoVCoaiHRLCPEd25aQmJYMLIkAgmJoLt6EFeqzMtTnhb/AWJ4AnS3ut+VF9v5UGMgG3XJlUZHAwi2HL77ojF4P4AW9FemPv189QBEZyQCCasJcX8nmbVksBsw/oCA7G/uGuci97fkRhtnK9XKBSKekgE+xjRnZuWkAgmjAyJYGJCdJrdjzeaOs3i2+MHSARPAPMgBmJm8sFsUiRMtpfi20RMmpEyeHhWv0gRbO62wUaLwRGCIBFMmMxOOL//HM7wMJifdPn99e25WfwJh3n/hKnHJn5/R2C0cb5eoVAo6iER7GNEd25aQiKYMDIkgomJ4lgTyx9xPFYovC3+gETwB7C/gj2Nv+cDC6fBRPVaQxq3DJ7GZbAoEWw9f9Y9w9w566+wlp8VfmwIY0EimDA5PLLWtnOTX1+3/+IF3r/N+Azmxibh+zkao43z9QqFQlEPiWAfI7pz0xISwYSRIRFMTJT+ixVcCi6dKbwt/oBE8Pux52/ng9mf/wxzS7vw9hC+Y9uX55bB8s2rmorgMYvBbU6nxeAIIZAIJkwOCebmNt4f/vQnmCzP/POaD1vg/P5zXn/43Bnh+6iG0cb5eoVCoaiHRLCPEd25aQmJYMLIkAgmJoz1OZwzv8RgeBjMTS3i2+MjJILHp//cmaFSAp/AUndbeHsI/2E9coDL2Gkfw1ZxPuDbM/c/h60wnxaDIyZFW5+E/CKGpLUupG9QUFnjv/sUEsHEMANJC/mTTqdP+v56ZicGIsN5Pf3N6cL3bTyMNs7XKxQKRT0kgn2M6M5NS0gEE0aGRDAxGTyPUm4Q3hZfIRGsjqW+Ac7pnwT1jCbCN4ZlsDM8DP0XzgVsO16Lwc34A2yF+bQYHDEhsnMZIqJcXtTU+2cGO4lgYhjPk04/+/xa9rUJ/LWW/AiTNXj7OaON8/UKhUJRD4lgHyO6c9MSEsGEkSERTEwGy91GLnV+/TrkFw4jETwW85Mud/1Wf9dNJIILqbTII4PPnvbra49ZDC4pEuZmKi9CTIy2PmmMBI6IciE71z/3KiSCCTe2l3BG/A2D4WGw3Jn6kwrW4kLen878MugXvjTaOF+vUCgU9ZAI9jGiOzctIRFMGBkSwcRkGVjEZ/j1X64S3haf9oNEsDd9AxhYPIOLu5SokBf9xPt58/Yd7EcP+F0Gey0G9+vXsJ4rE76vRGjR1CariuC0DYpfXp9EMDES24FdvJxDzqop/b3ldj2c0z+GMzwMlupq4fvzIYw2ztcrFApFPSSCfYzozk1LSAQTRoZEMDFZbEf2c1mYsVx4W3yBRPAIbC/hSIkaquE6A6a+AfFtIgLKm7fv0O+UYT1xxC8yePRicPaNa2DutgnfTyI0iU4cK4JPV1BpCCIAtPdxkTvjM5i6+if3t139cM76K3+KZn+e+H2ZAEYb5+sVCoWiHhLBPkZ056YlJIIJI0MimJg0nWY4p30E5/RPYOoJXdFDItiDbecG9wxO85Mu4e0hAs+wCDY5JG8ZXHpiUq8zZjG4yGmw3KoTvn9E6HKjnmFWlAuzFnsk8KwoF/IOUGkIIjDY1yVymXt438T/zvYSjsQF/IvxxAUw2V8J34+JYLRxvl6hUCjqIRHsY0R3blpCIpgwMiSCiangWB3DV9o+cUR4W6YKiWBO/7kzQ4t5fQZLfYPw9hDaMFIEmxweGTw4CRnstRjcd5/BdmAXzP2/Cd83InRp7pCwaLmCiCgXjpTye5PGFglzlyh+WzCORDAxGkvtLf5F1tx/TFjo2vK38b+Z/V+Tn0ksEKON8/UKhUJRD4lgHyO6c9MSEsGEkSERTEyF/opyPgCK/VV4W6YKiWAJlrrbcE7/hMu/inLh7SG0Y7QINjkk9JeemJAMHrMYXMI8mB8/Eb5PRGjTY5WwMpML36xt3vclx84wRES5EJ2ooN3k23ZIBBNqDNfIn8j6B/2Xq/gXYNM/gfluo/C2TwajjfP1CoVCUQ+JYB8junPTEhLBhJEhEUxMCetzOGd+icHwMJibWsS3ZwoYXQSbW9rh/PnPvJ5rwXbh7SG0RU0EmxzeMth64ghMPVZYGh64f+61GNwvX8F6tlT4vhD6YNchLnuXJivoMHv/rM8uYVUWl8Rbdvu2aByJYEINa8kx/sXWqpj3/p65tRPOH7/gfWRJsfB2TxajjfP1CoVCUQ+JYB8junPTEhLBhJEhEUxMFdu2TF5Tb/cW4W2ZCoYWwb12DCycxiVwWmzI1DYk/Md4ItjkGCmD/9MthZ1z/huO2F89i8HlpMLcZRG+H4Q+uFgtIyLKhbkxCu4+Uv+dR+0S5sVwGVx5Y+olIkgEE6qYnXB+/zmc4WHj18q3PMPAkh95H5idIr7NU8Bo43y9QqFQ1EMi2MeI7ty0hEQwYWRIBBNTxXK3kZeHiPib8LZMBSOLYEfKYv7exfwEs9kpvD2E9rxPBJscEhwb17ilr5tv/xMDkdPQX3tTePsJ/dDYLGH+Ui54z19+v+A9dYHPGl64TMGT7qltj0QwMR723KyhL7g3q/984yo+azj6B5gtg8LbOxWMNs7XKxQKRT0kgn2M6M5NS0gEE0aGRDDhCwNRvKaetfqa8LZMuu0GFcHDM7kHIv4GS1uP8PYQYvigCE6LGyuCw8Ngqa2wmmUJAAAgAElEQVQV3nZCP3SYJcSncgmct39i9yJpG/jvZ26e2r0LiWBiPCxNrXy2749/xpK4l4iIciFprQv1TRKsZ0r40xE//RGWlnbhbZ0qRhvn6xUKhaIeEsE+RnTnpiUkggkjQyKY8AVb0V4+aFqXKLwtk8WIIth64ggfyM74DOYRdV8J4/EhEWzPy1EVweaWDuFtJ/RDdi6f4ZuUMfG6v82dMiLjuAw+VzX5+xcSwcT76ItdiMHwMOTNPoOIKBciolxYv+wxnN99NuHF5IIZo43z9QqFQlEPiWAfI7pz0xISwYSRIRFM+ESnGc5pH8E5/ROYemzi2zMJjCaCLTdq4Zz2MR/IVpQLbw8hlg+JYHNLh3tByGEcaXHC203oh6Onh8o8xCto7pjc3567zGsKR8YpaOmc3N+SCCbeR3lWBQbDw/Bwxi/887nIiY7v/sVLRuzZKrx9vmK0cb5eoVAo6iER7GNEd25aQiKYMDIkgglfcaxaEpKrZxtJBJsfPYHzpz/xgez+ncLbQ4jnQyLY5JBgaXgA+4bVGEhaAOuxQuFtJvRDTT1zz7a8Wje1e5Dh2cQZmyb39ySCifexdrOCnml/weC3Yaj/PhKt303HYHgY7v0UicOnFLR2T32hwmDAaON8vUKhUNRDItjHiO7ctIREMGFkSAQTvmK9cI7PFlw2W3hbJoNRRLC524aBBd8OlfBIEt4eIjiYiAgmiEDQ3CFh0XJe2qHw5NTvP550S1i4jL9OSfnEX4dEMKHG/VaG5EwFkYsGYA//g9fTELbwzxC9yOb+8mLTLgU37oVm/2m0cb5eoVAo6iER7GNEd25aQiKYMDIkgglfMVueYWAmn21qaX4qvD0TxSgi2JEYyUV93K8wW54Jbw8RHJAIJkTQY5OwMpPL27WbGfrsvr1e5Q1eImJejIKHTyb2NySCiZH02CQcLlUwdwmXvKfm7lKtj37vwkNs3qVgztDvRUS5sCJNwakLDJ0W8fsxUYw2ztcrFApFPSSCfYzozk1LSAQTRoZEMOEPbFvW8lkz+duEt2WiGEEE2zeuwWB4GAbm/DcsHX3C20MEDySCCRHsPsTLOSxNVtDW55/X3LqHi+WVmQp6JyCWSQQTw9xtkpCYobjFbm4BgzVrtaoIttTWwuSQ0Not4/ApBTFJnr9bEKdg10GG+63Bfz9ttHG+XqFQKOohEexjRHduWkIimDAyJIIJf9B/u54Lx9l/h8n+Snh7JoLeRbDt6EEMhofB+f0fYG54ILw9I6mpl1F4kqHwJENTG8lIEZAIJrTmYjWfvTtniYK7j/z3uu0mCdGJXModKf3w/QyJYKLXKuHgcdk9uzcmScH1et4fWstOjZHAzplfwtRj9X4Nm4RL1xnSNnrqXUdEubAmR0FFtYxeq/j9VMNo43y9QqFQ1EMi2MeI7ty0hEQwYWRIBBP+YmAhX1Cl/3qN8LZMqL06FsHWq1fdA9j+y1XC2zOSs5Wy16B54TIX6pvEt8tokAgmtKSxWcL8pVzWllb4/3NXU8/7lblLFDS2vP93SQQbmzsPJCSkeWbz7j40trSDPS/HSwL3V15672veb2XYdYhhQZzndaNWKDh4XEZLZ3D1s0Yb5+sVCoWiHhLBPkZ056YlJIIJI0MimPAX1sICviBZVrLwtkwEvYpg88NmOH/8AoPhYbAWFQhvz2gWxru8RHBElAvZudQHaQ2JYEIrOs0S4ldxQbY1P3Dnet4BPjMzMV157++RCDYm3f0S9h31fBEZl6zgZsN7+sAeq7scxETptEg4Vc6wbJXidY3L2cFQfTs4rnNGG+frFQqFoh4SwT5GdOemJSSCCSNDIpjwF+a2XjjDw+Cc8RlMpgHh7fkQuhTBnWYMzP0HF/LZKeLbo8JoCRwR5UJkvAuXa6kf0hISwYRWZO9g7oW1uvoDt50ui4S4ZC7gDhaP/9kmEWw8bjbK7i8jIqJc2H8s8H3f9TsMG/O8y0bEr1Jw/CxDu0lc32u0cb5eoVAo6iER7GNEd25aQiKYMDIkggl/4kiJ4jNRS08Ib8uH0J0ItjyDI+5XDIaHwRH3K0zW5+LbpEL0irEieJjoFQoKDjPce0yCMtCQCCa0oLiMy7fIOEWTeuC1DZ4Zn7fvq2+PRLBx6OqXkF/kkbEJ6QruPNS232vplHHwuIzoFR4RPTfGhdy9DPVN2vfBRhvn6xUKhaIeEsE+RnTnpiUkggkjQyKY8Cf95WVcRCbMFd6WD6E3EWzPXMEX7Jv7D5g6zcLbo8aDVhnzYxVELPbI38R0F8ouycjcwjA72vPvSRkKTpxjaOslWRkISAQTgaamXsbsKC6/qmq1+6wVHObiLy5VfQYyiWBjUFMvI3ZohvicGBeKShShC7j1WiVcuCZjdbZ32YiU9QrOVTH0aNQ2o43z9QqFQlEPiWAfI7pz0xISwYSRIRFM+BXLMzh/4PVpzS3t4tvzHvQkgq2H8vmiNj9+AfPDZuHtUaPdJCE2hQ+AN+xkqKmXUVPvLYdau2UUlylISPcMlOcscSFrG8Ol69oNlI0AiWAikDR3SFi0nJ/HB4q1vcfotkpYvppvO79o7LZJBOubTounXvTwl4qNzeLbNZJ7j2Xk7mOYv9QjhBctV7D3iIxHAZ45b7Rxvl6hUCjqIRHsY0R3blpCIpgwMiSCCX9j35yOwfAw2PbuEN6W96EXEdxfVcVrM0/7CJbqauHtUaPXLiF9Ax+YJ69TJiR07zyUsfsQw+LlitdAeddBNu4j38TEIRFMBIoem4SVmfy8TdugoNeufRvuPpIwJ5q34WaD989IBOuX6tsyYlby933eUheKyxj6BHz+Jkq7ScaJc8yrfvHsaBfWbWW4cjMwbTfaOF+vUCgU9ZAI9jGiOzctIRFMGBkSwYS/6b91m5comP13mOyvhLdnPPQggs0ND+D8/g9cvB89KLw947GnkEvg6EQFT7on97c9NgmVNQw5uQxzlnhmTyWsYThaqqC1i2TmVCARTASK3UPn+5IkBU97xLXj0EnejqUrFXSaPf9OIlh/tPfJ2F7gmQWcul7Bw6fi2zVR+uwSrtUxZG33LpEUm6Lg2GkFT/1YIslo43y9QqFQ1EMi2MeI7ty0hEQwYWRIBBOBYGD+NxgMD4Plxg3NttnWJ2FbgYL0DQpyctkHFyYKeRHc3gtnxN8xGB4Ge3aK+PaMw/nL8tDsLAX1TT6+x70yTpYzJGd6z55au5mh/CpDt0o9UEIdEsFEILhYzc/3OdEK7jwQ25Yem4TEoTIzuXsV97+TCNYXV27JiBpaiG1BnIJTF4J7FvCHeNwuY98x2etpmLlLXNiyh+FWg+99ttHG+XqFQqGoh0SwjxHduWkJiWDCyJAIJgKB7eBuLihzVmmyvbY+T/3ZYRYuc6Gtb/y/CWkRbHmGgZiZfGG+5XNhsj4X3yYVbt6TMGfJ0GJRN/wrHR+0yth7REZ0oud9j4xTkLuX4cY9EpwfgkQw4W8amyXMX8rPx5Png+O+orFFwtyhPuhqHf+8kwjWB229Mrbs9swCTt/A8LhDfLv8RY9VwrkqhpR13vc2SRkKzlxkqgshTgSjjfP1CoVCUQ+JYB8junPTEhLBoUF9k4TCkwznqmjg6k9IBBOBwNzWy+vWzvgMJtNAQLfVY5Nw7DTzGigNc/zs+J/tUBbB9swVvPzG/G9g6rYKb48aj9slLFzGB7CHTgSujxl+pHbTLgVzY7wfqS0sUfC4na4ZapAIJvxJh1lCfOrQYpB5wXVPUVzGrw+LExS09ZII1gMXq2VEJShDX/oqOFcVXJ85f1P/SMa2AuZ1jYuMV7D7EMODJ5Prx402ztcrFApFPSSCfYzozk1LSAQHP/lF3pInae37Z/oRE4dEMBEoHCsXYTA8DNayU3593XaTjKt1DPuPyUjbwAeCsxaPlcARUS4cOqk/EWzbn4fB8DA4f/oTzI+eCG+PGp0WCQlreL+dvUO7/qXDLKOsimF1lvcMqjXZXBR0WsQfm2CBRDDhT3Jymbt2d1cQnmfDfcLGPEYiOIRp7Zbdn7WIKBeycxlau43Tjz3tkXHsjDLmCai0jQyVNRO71hptnK9XKBSKekgE+xjRnZuWkAgObpra5EnP9CMmDolgIlD0nzvNZ60mLfDpdZraZZRfYdh1kLnrPY5m1lCt2NH/frZKGfd1Q1EE91eUcwk87WNYbtQKb894ZG3nA/XEdEWYFHr4VMaBYu/SEXNjeJ3F6tvU55EIJvxFcRk/x+bHuvCgNTg/UyPvJa/WkggORc5VMfdTJouWK7h03dj9+OVahszN3hNlohMVFJW8fxFVo43z9QqFQlEPiWAfI7pz0xISwcFNTb26CN5WML7gISYOiWAiYFiewfnDFxgMD4O5rXfCf3fnoYyS8wwbdypYkqQufhctV5C1jeHYacVdD7ayhmFhPP/5vBjPLOHx6sWGigi2lp2CIz0e9vUr4Zz+KZ9lfeKI8HaNx4Fi3mdHLlPw6AML9mnF9TsMuXsZ5i8dMWBeoWB/sYyHk3ysVi+QCCb8Qe09zz1aZZCLudIK5q4fb7aRCA4VWjplrNvKRtz/M7T1Ut81TFObjPwihsh47/ulTbsU1NSPPSeNNs7XKxQKRT0kgn2M6M5NS0gEBy+t3TLWblUXQVErXLjzkG4EfYVEMBFI7JvSMBgeBtv+nao/77JwSVdYomDtZob5seolHhLWMGwvYDh9kaGh+f3n/XDZmD2FfOC4INaF2/fH/k0oiGD7htUYDA/z8O1/wp6ZKLxd41FR7ZFCtX5Y3dzfdPXzWWVpG71nUaVmKSitYOjoC742BwoSwYSvtHTKWLyc36MVHA6N+4i1QzMoc7a7hLeF+DBnLnkE55IkBdfqQuNzJoLufn68kjKUMfdPJecZahs8ZTVychnqm8S3mZg6FApFPSSCfYzozk1LSAQHJ+cvMywaGmDMW+othYb/e84SFw4Wy+i1im9vqEIimAgkllt1Q4uafQuTg3+5c7Faxp5ChuRMBXOWjJW+c5e4sDpLwb6jMqpu+DbzZ+se5l5UpbHZ+2fBLoLNLR3eEngIe16O8LapUd8kYW4M77PPXw5+wdjSKeNwqYL4VYrXZ2/DDobLNxl6beLbGEhIBBO+0GOTkDpUdzc1S0FPiJwvLZ0SIoeeHDlzkT7/wcrjdgkZmzxf2OXtZ+gw0/s1UW41yNiym2FOjKd81qxR91oLl9F6K6EMhUJRD4lgHyO6c9MSEsHBRUunZ8ZGRJQLWdsZWru4ZDh+lqGmXkaPVcK+Y7K7JmhCmoK79M32lCARTASKPruExscyLLO+xWB4GLbE1qvO9l28XEF2LsOxMwpuNvLz219t6LVL2LTTs2L8g1bPz4JdBFtqa1VFsCMtTnjbRtPSKblr8e4pDL3+5GajjB37GSKXeaRw9AoF+YcZGltCb38mAolgwheGn7iIWqGgtUt8eyZD5XXXUE1jBY/axbeH8NBnl3CqnGHB0NNBS5MV1N4V365Q5Wkv/8Jz4TL1pytpvZXQhUKhqIdEsI8R3blpCYng4KGs0vMI2KLlCi5ce/8g9fZ9GctXe6TxoRM0qJ0sJIIJf1J7T8aRUgXrtjJExvFz+eivezAYHoaKmWnuxxRz9zGUVX64zIO/GH4cMjpRQVM732awi2CTQ4Lzh8/HiGBr2Snh7RpJd7+E5HX8vc7YFPp9yYVrMjK3eJeOWJmh4PhZfa1OTyKYmCoXR5SAGa8GezDz7KULm3byPmtNDq03ESw0tclYk+MRlgWHGbr6xbdLD5ytVF9vZUWagnuPQ+8cJkgEUyjjhUSwjxHduWkJiWDxPO6QsHrEzd+mncqEHwfv7pew94hndnBihoKGx+L3KVQgEUxMlbZeGZU3GPYekZGapbgfQfQq8xDjQk6GCc7wMDhmfIG2jt+EtLXb6nnMNDZFQUtn8Itg85MuOH/8As7w//SUhdiwWni7RrMxz3Nc203i2+MvWrtlFJcpSEj3XJvmLHEhaxvDpevMrzPXRUAimJgKjc0S5i/l50RxWWjeOzx76YJtwOWeJXk8RPdDL/TZ+RN/w2Xf4lcpuP1AfLv0RFOb7F5M181iT7mIjXkM91vpPAglKBSKenQjgrcWnMRX3y/D//un2fjT9FgcOnHR6+cPWzrwzewU/P6LWfjLD8tQfeu++2dv377D+u2H8e9/XYB/+/McLEvfCZkp7p9/MW0p7j5oVd2u6M5NS0gEi6PPLqHkvOcRsKgVCqpuTG1gWtcoIT5VcQ/Wi06FTs06kZAIJibKg1YZZVUMuQUMy1Yz1dklUQkKcnIZissU3GrwlHkYSIzEYHgY+s+dFtb+rn4JqesV90Cztz+IRbDtJRzxEXyhvZ2bYKmthbmlQ3y7RnGkdHhBPgX3W8W3J1DceShj9yHmXhhr+KmVXQeZeyHC42cZkta6kLTWhcKTwd+nkggmJkuH2XOflbUt+D/j4/HspQsv5deovCEP1QZX8PCJ+HYZkfstElLWe+7dDxT7tzwU4aG+SUJixvCkGRdOlXsvnDo72oXNuxkePqHrQihAoVDUoxsRnJ13FHX3muFw/obqW/fx//1pNm7efQQAcLle4w/fLsHuwjL89uIVzlTcwP/6ah4GBp8DAI6UVuGr7+PR3m2GxTaAHxelIzvvqPu1SQRzSASL4eFTj5SJiHJhWwFDu48rtnf3e+rW0ezgiUEi2LicrZRReJLX3R79s16rhLpGGcVlDDm5DFEJ6vXlhss8nK1iePCewYO1rJTXt125SOg+d5glJA7N8EzKUOB89lr4+6CGbf9OvshezEyYrC+Et0eNq3UyIqIUzI5ScLXOGAPHHpuEyhp+Toxc6DBqxdjzI78ouPtVEsHEZMnaxu+v4lMVdJjFt2eqDItgk0PC1j383F2ZqaDXLr5tRqHHJuFoqYK5Q/3oinQF9x6Jb5cRGD3Or70nYXW295MvuQUMj9rp+hDMUCgU9ehGBI/Oj4sysL/4AgCg7l4z/v2vC/D27Tv3z8PnpuLkuWsAgJlRa3Fg6HcB4GptIz7/Nsb93yNFcK/Zhs++iUb55ToAJIKJwHLszIgFeRIVXKvz74C5tkFGbLJnG0WnqAbceJAINibDs0KG2XlQwdVbDAeKvWv0jWZNtoL9xTKu3GQTLt9ickgwWZ7BOeMzOMPDYG7rFbrvbb0yEtKG6kNmu9BlEf9+jMRy5y6c0z6C84cvYG5pF94eNRqaZfeTHEZdbKatV0bJeYaVaxXMWqx+vohu4/sgEUxMhuIyLoHnLXWhMcRrio4UwR19MpYk8evB4VK6V9SCxscykjM99xnHTtNx15LxxvnX6ph7dvYweQcYWrtC+3zXKxQKRT26FMGSrOA//h6J2jtNAIBjpy9j2txVXr8TvyYPOXnHAACf/DMK1242un/W1duP3336MySZl4cYFsEO52/46vtlOF521f271kHZMAz8xuB6/VZ4O4xA01OG1HWem4xdBxl6rIHZVp9dxp4iz+zg5HUKHrUx4ccg2HC9fgvnc0XY9m3PGKExJeXqonfWqP+OWqFgQx5DyXkX7jYpPm93YNMaPiu4KF/4Meg0KVi+ih+H9A0KzA7x74vtGYOt3wnn3H/w43T+tPj2qNBlURCXwo/d1j2+fy60wBrg109Yoy6Cs7YrKL+ioM8u/hiM5u27d3D8FhrvHyGWuvuea8al66H/mXkhvYakvHH/9817nv273+Lba4u+pwt2Ck947stXZdF9uQg+NM6/Vqe4F4AdZk8RQ3svvVfBBIVCUY8uRXBi5h7Mjs3Gu3d8BvD+4gv4aXGG1+8kZxVgzcYDAID//Zd5uHXvsftn/TYnfvfpz+7SEV9MW4rqW/fxzewU7D1y3ut1XK/fGobXb97i3bt3wtuhd0rPv3HfUMSnuPDwsTbbbWp+i9iVnpuZsgtvhB+LYOLtu3d4/UbMtiWF3gutaXjwFqnr1aVVfIoLB468RvXNNzBZ/L9t+f4dDIaH4Vnkt8KPg+v1W1jt7xCXzPd9ww6X8Pa4Xr/F86wVGAwPw/OsFcLbMh7rNvNjlpYTHMdsIsgB7mtKzr4eu1DiEu//3rnvNW7dFX8shnn3DsL6fiJ0sA+8RXQi/wwfOPZaeHv8wZu37/D2rfd9/4Ej/BxOSvetX6P7GnXaOt8iKd3lnlVecZmOkygmOs6/0/gWqes817B5S104UvIag7+J3wfibcB8E4US6tGdCF63/TD+FZGM5y9euf/t2OnL+G7BGq/fi1+T564D/Mk/o3C97oH7Z2ozgj//Ngb/5+v5sNoHvV5H9OMOWkKlIQJLfZPsrskZEeXCnkKGrn5t29BplpB3wDMLIWW9QqvjDkGlIfRP9W1exzdyaIX08R5jb2oL8ON/9lcYmP13vmhc3R3hx2XguYIe01v3AmA5O8SeB9bSE7wu8Nx/wNTnEH581Mjdy/vRmCQFrd30uOhI8kc8gbKtQEFbn4SqGwybdymYG+M5z+YvdWFrPsPlm2I/b1QagpgIqVm8f0xZp5/H90eWhhimyyIhbqik2N6jdF74k71HZXf/l76RBf5eg3gvkx3nV15nSBgxjpsf68L+YtnndV0I399HCoUyNroRwa/fvEFi5h78uCjdSwIDwK17j/Eff4t0zxAGgG9mp6C47AoA4KfFGTh4vML9s8s37uHTf0W7//uLaUux71g5MrYU4l8RyXgleR4zEN25aQmJ4MDQY5Ww/5jsXlAnPlXBzXti21RTL2NJIr+ZmRvjwrEzCvoMvjgIiWD90WeXUFPPkHeAuSXnyJrcuw8xJGV4/7tWdV5t+/MwGB4G+5YM4cdp4LkCWXmDxmYJi4Yk+aadTEifYH70hNdQnvYRLHfuCj82apScZ0N9p4L6JvHtCSU6LRLKr8rI2sYwZ4QUXrRcQe4+hut3tP/ckQgmPsTwlxuLlito7hDfHn+hJoJNDgk3GyRERCmIiFJw54H4doY6dY0Slq3m19bIeAVll+heMxiYyji/zy7h4nXmXl9h+D0tKlHQGcILR4YyFApFPboQwa/fvEFEbBYiV2yC89lzvJJkvJJk94xeRXHhk39GIf/wOTx/8QpnK2/if345BzYHn91bePIivvp+GTp7LLDaB/Hjogys3Vrofv3hGsFv375D5IpNmLcsB2/e8EcNRHduWkIi2P/cfiAhfqj+5uxoF/YekdGt8Szg8egwy+5ZbcOzgx88Ed8uUZAI1gd9dgk37snYdYghasUo+btCwa6DDDfuyl6yqaZexvGzTFOpZ25px2B4GJw/fAGT5ZnQYzYsgk0OCXcfSVgQy4/bjn0anw/9v2Eg6gcMhofBemiP8M+SGtfrZcyO5senoprkoS+09coou8SQvpFhdvSo8/QQQ22DNseXRDDxPi5W81mcs6MU1NTr63Myngg2OSTsPcLvD+NSFc2fXgtlmtpk971EVz//EmG4f1u7maGlU3wbCY4v4/w+u4QL12QsX828vtA8WqoE3cK7eodCoahHFyL4txev8LtPfx7D1z8ud/9O46M2/CsiGf/j81n46vt4VNXcc//szZu3yNhSiP/71wX4tz/PQdyaHV6zfodFMAC8khj+FZGMVTn7AJAIJqZGj1VC/mHPzV9CWvDOqqi+7T07+PhZMTMBRRMIEVxTL6OmXkZbn/j90zu3GmTsKWSITvSWv4uXK8jbL2am4YcYSJzPpef5s2LbMUIEmxwSbjVKmBfDj+OuQ9rJYHteDl8cbsV8mOyvhL8/o2l6KiEyjh+XA8fpSyN/0tol4+T5sSu1x6xUUHCY4faDwAk4EsHEeDQ2S5i/lH8mi07p75x/nwjutkpYPjSLdecB/e27v2nrk5CT65GC0YmK+35k0XIF5VfpGAYb/hjn99klnL/M3JN+IqJciEpQcPwsQ49V/D4aAQqFoh5diGCREd25aQmJYP9wq1FyryQ/Z4kLB4tl9Ab5zUCHWca2AmPPDvanCG5qkxGb4rkpjE1RqBZcALh9X0bBYYaYld7yaPgx8+rbDL028e0cD+vpk1x8pkYLbcdoEWxy8C+I5i4ZEiAnAz+AtVyv4TOkf/4zTO19wt+b0XSYJSwbGuhlbg6+LxX0RFObjCOlilctxogoF+JSFBwoltHw2L99KYlgQo0Os4T4VMU9k1OP5/z7RLDJwZ8QmTP0BITeZkP7m0MnmVd/FRHlwqwoFzbuVPC0l45dMOLPcX6vTcLZKuZ17x+dqKCknISwFu8jhUIZGxLBPkZ056YlJIJ9o9MsYddBz43gygwFdx+F1s3f1VveMypPnDPODAZ/iuDs3LEDguxc4xzLQHL7gYx9R71Fe0SUC5FxCrYXMFyrC6HjbBrg9XDDw2Bu6xXWDjURbHLwBb6Gj+/J8wE8rl0WOH/5CwbDw2C5ckX8+6LCuq38WKxIU9BJj31qxt1HMvYXjz3fE9YwHD6l4OET36+xJIIJNXLyhkojJCu6XQzqQyLY5JBQVKK4F8ZsN+nzOPiDtA3KmPs+TRafJaZMoMb5ZZcYliZ7Pg8xKxWcuRhC96YhBoVCUQ+JYB8junPTEhLBU6f6NsOSJM9Fv+hU6K4q3d4nY8sejwBanW2M2az+EsFXb42VwMOkZinIL2I4f5mhoVn/x9Rf1DfJOFAsIzbZe6C1IE7BtgKGKzdD9wbbkZOKwfAw2Ir2CmvDeCLY5OALew0f7zOBWODG/gqO5EX8GGzLFP5+qLH3iOyead7UTuetKOoaefmX0bW/V2YoOHZawaMpvjckgonRFJcNLwjpQn2Tfj8bExHBJoeElWv5Obc1P3SvtYHkUZs8pl8aRnTbiPEJ9Di/pNx7bBibouBcFZ1DgXgfKRTK2JAI9jGiOzctIRE8eTr6ZOTu8y6pcL9VHxf5yhqGqARP7eCSQM4IDAJ8EcG1DXxxsoXL+PGatXjsYEDt3yLjFKRtZNh7VEbldUaSaQQNzTIOHh87E3B+LB62rNsAACAASURBVB+MVt3Qx+exv4aXRBhY9J2wNrxPBJscEs5c9PRx/q5zaDuyn+//wmnCF81To/yqZ99r79H5GSxcv8OQu5e5azaP/LLtxFmG1q6Jv1ckgomR1DZ4vvwq07m0magIbmzx9IN6ufb6i8OnFHcZiNH3eIc0KKtETB2txvknz3s/bRmXoqD8Kl1z/Pk+UiiUsSER7GNEd25aQiJ4clyrk92idN5SF4rLFN3VkGvrlbFpp+fmZVW2gqY28e0KBJMVwXcfydh7VPZ6/CsiyoVlqxm2F4ydGXLouIKiUwqytnvPEBjN4uUKMrcwHDou4/JNhic9xrlZfPhURlGJgoS0UTN/Y13YvEtB5Q0d1lqzv8LA7L/zsgj194S04UMi2OSQUHKey5HZ0Qqu3PTPZ9Lc8ADO6R/DOeMzmB88Ev9ejOL2fQlzhuokn7lonPMwlOixSrhcy7B5l4L5sZ4+Y3a0C+kbGU5fZGj7QH1OEsHEMK1dkntmZ+6+0H2ya6JMVASbHJ5Z0guXKWjrFd920Vy/IyNuqIb0glgXissYbj+UsK1AQXYuw9lK6lOCHS3H+T1WCSfOMUSPmDmekK6g8ro+649r/T5SKJSxIRHsY0R3blpCInhitPXK2LKbeclRvS+sVnVDxqKh2a7zY104Va6/WQ4TEcFNbTIOlypIWONd/iFmpYK9R2SvR0jrm/jiIflFDPVNY1/rSY+MKzcZCksUZG3zni0wmpgkBdk7GI6WKqi+zXRVp6+pnS8MlZg+dubvpp38Jll38ncUtr07hJZGmIgINjkkFA0thjN3iYLq2z5+Bk0DGJj/DQbDw2A9cUT4ezCalk4Ji4e+6Nt1SH/9nR7p6pdw4ZqMrO0Mc2I8fcmcJS5kbmE4V8XQaR77dySCCZNDQo9NQmoWP+cT0xV094tvU6CZjAjus0tYNXR8srcbt09s6ZSxYYfnHjAnj6Glk/qPUETEOL+rX0JxmYLFyz33vCszFFwO4RJnoqFQKOohEexjRHduWkIi+MNcrPbMAp4f68LJcuN8k/ukW0LWds/Nb9oGBY/bxbfLX4wnglu7ZZw8z5C63ltULlquIO8AQ+092W+fgdZuGZdrGQ6dkLFu69hamCOJT1WweZeC42cZbtyT0RVCC1g1d8g4dkZx1x0cZt5SFzbsYLhYLRtiED6MuaUdg+FhcM78Eibrc823P1ERbHJI2HWI9wHzYhTcapz6Nu05qzAYHgbH6hjhx380XRYJSRmK+4u+Xpv4NhGTo6NPRtklhvSNDLOjPX3M3CUuZO9gqBjRx5AIJkwOCflFQzNe4xU80umTT6OZjAg2OSQ8apcwP5b3jecuG+uc6bFJOHZGwYKhJw9ikxVcv2OsY6A3RI7zuywSjpYqWDRCCKesU0JrweMggUKhqIdEsI8R3blpCYng8WntlrB+q7cE1WuJhA9x4ZrsvnFZEOtCaYU+blpGiuAOs4yzVQxrN3tLhAWxLmzZw3D1FkOPRnKouVNG1Q2Gg8eH5HCCuhyeHe1CQhpfPO1UOcPt+3JQzaRt6ZRx/CxDyjrv9s+NGRIz10JLZvsbR8JcDIaHob+iXPNtT0YEmxwSdgzVRV8Qq+DOg8lvr/9SBRffEX+Dqdsq/NiPZvgLr9gUegRaDwx/mZeyfuxTB5t3Kai//w4mOwkdI3OxergusIJrdcb5LExWBJscEk5VMPcaBy2d4vdBC242SFi2WnF/mXToeHDdXxFTIxjG+Z1mXmd6eI2RiCgXUtcrqL0n/viEChQKRT0kgn2M6M5NS0gEq3OuirnFZ2ScgjMX9SE+feFJt4R1W/Q1O/iV/BZXal3I2cEwd+RjxTEuZOfyGWRdQTJLtblDRmUNw8FiGZlbmNcjZiOZs8SF5Ew+c/nMJYZ7j2VNZze2dnEBM/w4qdesvFyG8qsMnQaWvyOxlp4QNkN2siK4zy5h084hGRCvoLF54tsyt7TD+eMf4QwPg+XmLeHHfTSFJz2S+36r+PYQ/uVRGy9FkzCqFM3CeP4l2tU6RjPADUZjs4T5S/nn4eAJY93fTUUEmxwS0jYo7ns/0fsQSJ70yNiyx3Ovm76R4aHOS8EZiWAa57ebZBw6ISMyXvH6vNU1GueLKV/eRwqFMjYkgn2M6M5NS0gEe9PSKWHtZs8N4LotDM0Gmf0wUc5fZu5vsReEoCTvs0uovs2wrYBhYbz37NqMTVyedvSFxk3Yo3YZldcZ9h+TsXYz83rczGsW3FIXVmUp2FPIUH6F4X6rf8ubPO2VUVLOsCbbe/tzYlxYv43h/GX1Op2GxzQA54zP4Jz2EUydZk23PVkRbHJI6LVJyM7l/ePiBAUPJiJNrS8wEDMTg+FhsOdvF3/MR1F1wzMr8KqBZgUalcYW3l8uWz12wc68Aww37nrK/rT1SThXJaPwpHrNdyI06TBLiE/1SE2jlPoaZqoiuKVTQmQcP26nLoTWfd9E6LNLOFnO3FIuOlFBRTVdE/RGMI7z2/tkHCiWsSDOcw+duYV5rUFCjH0fKRTK2JAI9jGiOzctIRHs4fRF5r7JXbhMwbkq/d3o+ovWLu/ZwRmbgl+Y1zXK2H3Ie/XeiCgXVq1XcPI8Q2u3Pm64mtplXLrOsO8DcjgyXkH6Roa9R2VcvM7wqE19/0fKkKYRv9PWK+N0BUPaqHqcw4s0na3S1wJ3gcKelcwXjTuyX9PtTkUEmxy8ZmLGJuYeKH/oqQB7/nYMhodhIGYmTNYXwo/3SOqbJMwbmhV47Az190bizdt3uPOQYU/h2EU7oxMV5O1nWLbKu888fpY+I3ogaxvvv5YkKXjaI749WjNVEWxySDh3WXbXi9fTLNm6+5J78drZ0S7sKaQvr/VKMI/z23pl7D0qY36s57qTncuf7BPdtmCDQqGoh0SwjxHduWkJiWAJTW0y0jd6pGb2Dv1IwUBTdskze2JBrAtnLgXXQLmxheFAsYylyd4D/YQ1DIdPKTBb1ReL0xtNbTIqqvkNZsYmzxceo1m8XEHmFoZDx2Vcucnw4ImM2BTv391eoLhF4EjWbmY4fTF0ZlMHC/3Xr3NRuug7Tbc7VRFsckjo7pewJkdx19Rt7VJ/zy03b8EZHgbnj3+EuaVd+LEeyZMeGTEr+T5s3qXvR52JsYxeLO76HYbcfQyRQ0+7zFqsvmBnW5/4thNT5/hZz7Xr9gNjXqt8EcEmh+epkNVZod9vtvXK2LHf85lIzVJIuumcUBjnP+2VUXDYu2Tdxp0KGlv0P16ZzPtIoVDGhkSwjxHduWmJ0UXwibOeC+3i5QouXKMbwMnS0ikjc0Q5jcwtDC2d4o7j43YZx04r7tkdw8QkKdhfLOPuI0/bRi4WZzQePpFxsVrG3iMy0jaOL4dHM2vE/8/YxHDmIkNbL503U8b+CgOz/47B8DBY7jZotl1fRLDJwRc7GV4EcPlqlc9AtxXOiL/xxfAuVYg/zqNIHaphnZypoDtI6oAT2jFaBI/k8k2GqAT1/m/DDgU37lJ/F4rU3pPd76MeSxtMFF9F8NNe2b1GwbEzoSuDT1eMWAskPvTKnBFTI5TG+a3dMvIPe0+82LKH4eETugZRKBT1kAj2MaI7Ny0xqghuapOxesRiVpt3KXjaQxdWXzhziWH+Uk/ZgTINZwe39cooOc+83tOIKBcWLVew6xBDbYP6e2tkEazGgydDM4ePyFiTo3iVfBjJ4VMKyV8/Mlw+wZ6bpdk2fRXBJgc/71ak8XMuKUPxmg3uWB3D9ylnlfDjO5rNuz2Pho83m5nQN+8TwSaH98xRtS/CFi1XkLuP4eotun6EAq1dsrss1JY9xn7PfBXBJoeEqhue86OhObT60HuPZaSu99wr5hYwuv83EKE4zm/p5KXtRl6LcgsY7j6WkV/EkL5BQU6usWrZUygU9ZAI9jGiOzctMaIIPlLquQGMSlBwudbYgwJ/8qhd9iobsG5r4MpsdJolnKtiyNzifXM0P9aFbQUM1+o+/L6SCH4/2wrGzhJeGO8S3i69YW5px2B4GJwzv4TJ+lyTbfpDBJscvMTCslX8c5K6XkGXRYL1xBFe7mL+NzCZBoQf35EUl3n6izsPafBvVD4kgtv6JCRmePd9uwsVbCvwlI8YZkGcgs27GS5eZ+iyiN83Yiyrhr4kTkhX0GXwJwD8IYJNDglb85n7S0DR+zQR2k3eMi1hDcPNRroGGI1QHuc3d8jYddDzGVYrYWQUGUyhUNRDItjHiO7ctMRIIrixhSF5nWcAtzWfoZ3qmQaE0xUjZgf7eeG9yhqGTTvHCsrsHQwXq+VJPeZNIvj9tPVJiB1VX7myho5XIHAsn83LKFRe1GR7/hLBJoeE5k5PLenc9GY4v/sUzukfw9zwQPhxHcm1Os8AqoLKABmaD4ngYSprGI6f9V4o0+SQUH2bYdfBsYuPRkS5kLWdL5ZJ9dKDg/wi5v6S+OFTek/8JYLbTTKWJPHP/8HjwX1cz1/2nKvzltLCj0ZGD+P8R20ysvPUn1rJLzLGZ5tCoaiHRLCPEd25aYkRRHCvVUJRiYI5Q7WAlyQqqL4d3DeteuBxu4RV2Z5B8rotDK1dk3+dPruEmnq+kM/CETOxZkfzBcrOVjF0mKf2fpII/jBtfePLEMJ/WE8VYzA8DI60OE22508RbHJIaHoqITbhBZ58N50L7cP7hR/TkdxvlbAglvcfB4rpnDc6ExXBH6LPLqGukZfTiU/1lsJzlvBrVGkFLUAriovVnrrAVbX0Hpgc/hPBJoeEmnp+fGdHKbjzQPy+jeZ+i2c2OK/xLXYNC0I8ehnnD597o9lWEBoz9P3xPlIolLEhEexjRHduWqI3EdzWJ+HEOV4v6cQ5hpv3JCxf47kJzNs/dWlITJ4+u4SS8wzzYz11FcuvTkzC3H7Aa19FJ3oPrlOzFJScZ3jqhxq1JIKJoME0AOeMz+Cc9hFMneaAb8/fItjkkNCbnYnB8DDU/bAY2dtl9NqC4Lg6JLSbJPeM5czNDH128W0ixOIvETyae49lFJaMXax0drQLq7MUHD/L8Kid7kG0oLFZwvyl/H3Ye4Su88P4UwSbHBJ2HuAzE+NSFXRbxe+fySGhyyJh7xEZc5bw8y82WcH1O3TeEfoRwSbH2Cf2jPTUHoVCUQ+JYB8junPTEr2J4NE1/YaJTVZQU083gaJoavOeHZy5hSFvP0NsioL0DYr7xuXhExmHTsiIX+V9c7MiTcHRUgWP/DwjlUQwEUzY1ydhMDwM1mOFAd+Wv0Ww5coVPqP5578gdokNEVEubNopXrr22iSkb2BDNSEVdJjFv8+EeAIlgkfS1C6juIx5zUgcJilDQdEpBY2P6b4kEHRaJPcM7dQsBb305Y8bf4vgrn4JS1cqQfNY+sXrDDFDJSvmLnHh0AkZPUEiqAnx6GmcX9/kLYMPnRR//mn5PlIolLEhEexjRHduWqInEXy2Uv0xmfVbaXGQYOHEOea18vpI4lJGyfsUBQeK5YCuSE0imAgm+q9d5YusLZ0Z8G35VQS398H5858xGB4Gy/Ua1DXK7qcAdh0Ue34NLw60aLlCpU0IN1qI4JG0dss4XcGwdvPYuo7xqQr2HZVRd58+n/5iww5+nKMTFTzpoeM6En+LYJNDwq0Gz/13bYOY4/3giex1fq3dTOWsiLHocZzf1ie+DSLeRwqFMjYkgn2M6M5NS/Qigu88lJGYMXbWTUQULQoRbDx8oi7sZy12IXqFgt2HtFvJmUQwEVTYXsL569cYDA+DuakloNvymwi2vYRjxXwMhofBnpfj/veaes+AfN9RMYPxMxc9bbhxl4QA4UFrETySjj4Z5y8zZG1nmLfU+zoYk8Svgdfv0HVpqgx/4RwR5dLsXiKUCIQINjl4KYbhL/E7NXzyortfwsHjnvvK6EQFFdX0vhPqGG2cr1coFIp6SAT7GNGdm5aEugiuqJbdj12qzTKNiHKhvkl8OwkPbX2S6vuUmO7SvC0kgolgw7ZnKwbDw2DbuSGg2/GXCLYd2M1nMUf9AFP/b14/u3LTI2QOn9J2AZPaex4xcPoineOENyJF8Ei6+yVU3mDYms8QGef9ZfbCZQpyCxiu3KTP74doapNRUy/jzIgnw06ep+OmRqBEsMkhIWEN7/Nz92lz7K/eYl6Pxu8ppHVAiPdjtHG+XqFQKOohEexjRHduWhKKIri9T8bRUgVLkrwHTWs3M+Tu8/63s5V0QxiMpG0YO3tbxHtFIpgINsxNLRgMD4Pz169hsr0M2Hb8IYItd+7COe0jOGd8BvOjJ6q/c/E601zMNLXJWLRcCYrSFERwEiwieDTX6hjyDjAsXu59jZwf68LmXXymY6dFfDuDibOVMhYu8366aGMenffjEUgRfPeRR8Rfqwvce/C4XUZ2rufakpqloIHqbRMTwGjjfL1CoVDUQyLYx4ju3LQklERww2MZ2wq86+vNX+rCjv0M91s9N5xtfRJq6mVD1kwKFdr6PDJ4Yby4BQ5IBBPByED8LAyGh6H/clXgtuGrCO5zYGDuP/jidqUn3vu7ZVWefvtMgGfndpo9s9LSNtK5TagTrCJ4JDcbZeQfZohTWRk+axvDuSqGtt7g3odA09SmXmqqtMLYx+V9BFIEmxwSikr45zVqhYL2Pv+/D4dLPefDouUKzlyifp6YOEYb5+sVCoWiHhLBPkZ056YloSCCK2sY0jZ6C+D4VAUny+kRMMI3SAQTwYi15BgGw8PgyFgesG34KoLtGct5XeAJtrHkvKcPL78auH47axtz16k0uiQjxicURPBI6ptkHDwuY0XaWCmcsYmhpJyhpTN09udDtHbLuPdYxvU7DOVXGI6fZdh/jE8GyNzCsHLt0FNhi9VLgon6cjkUCLQINjkkJK/jn9PNu/xXEuj6HYZlqzyf/9x9DE9pIUBikhhtnK9XKBSKekgE+xjRnZuWBKsI7jDLOFnOEJviPejJ3MwC+rgZYSxIBBNBSY8NzumfwDn9E5h6bAHZhi8i2Hr6JK8LPPcfMPU5Jvx3R0fM5Kqs8f95t7+Yzw5cEOtCYwud18T4hJoIHsnDpzKOnVGQmjVWCq/KUnDsjIKmtuDbt+ZOGXceyqi+zXC2iuHYGQX5hxk272ZYu5lhRZqCqAT1RX/HY7y1IWiR4PHRQgQ/aPXM1L7o48JtrV0yNuzwfJGYkK6gjhYBJKaI0cb5eoVCoaiHRLCPEd25aUmwieCmNhm7DzEsiPXc0EfG8VW0g3FgQ4Q2JIKJYMWeuYKXXThxJCCvP1URbH70BM4fvoBz2kew3Lk76b8vOMIH9HOXKKi+7b8+vaJ6WDwouFpH1wri/YSyCB5Ja5eMU+UMGZsY5iwZvQCrgsISBfdG1U6trGEoPMlQU+/b/vdaJTxql3H7gYzLNxnOXGI4Usrv1zbtVJC2kSFhDXPX654M82P5rP7U9Qqycxly9zEcLJZRcp6holrGjbsyGlt4aYxtBd6vH5usUGmw96CFCDY5JBSfYe5FD590T+HzZZNw/CzDgqFFFBfEcsHfaxN/DInQxWjjfL1CoVDUQyLYx4ju3LQkWETw1Tr+uN/Im/llqxlKzjNaGIUIGCSCiWCl/8oVPus29teAvP6URHD/bxiI+gGD4WGw7d855W3v2Mf7+nkxCm41+r4v9U0S5sZwWXCklM5n4sPoRQSPpK1XxrkqhuxchnlLvcVqfKqCfUdlrBm1UOu2Au9H9zvNfMbxzUYZlTUMpRUMRSUKdh1kyMljWJ2tIH6Vgsi4ycvdRcsVJKxhSNugYONOLowPn1Jw5iJD1Q2GukYZTW0yeqyT3/fjZxnyixgOnWQkgT+AViK4zy5h1dCs9czNk+uXbzZISFjj+YxtzGNo7dLX+UqIwWjjfL1CoVDUQyLYx4ju3LREpAju6ud1I0fW/IqIciE7l8o/ENpAIpgIWmwv4fz1awyGh8Hc1OL315+KCLbt3MBrF8dHwGR76dP2tw8t/Lkg1oXbD6Y+wG/plBG1wv/1KAl9o0cRPJIui4TK6wxb9nhmVM4ap55uYoaC2BRljDyeCNGJChLTFazdzLA1n2HfMV624lwVQ/VthvomGc06ql2sB7QSwSYHf8pv/tDnqqzyw/daT3q8F4WOTVZoPED4FaON8/UKhUJRD4lgHyO6c9MSESL4cbuM/CLP4CQiyoUFcQryi6j8A6EtJIKJYMa2azOffbtrs99fe7Ii2HK9BoPhYXD++EeYn3T5pQ0b8zyPDo9+fH2iJGfy60hypoLufvHvGREa6F0Ej+bqLYaVmeqzeEcK4vlLeUmGlPUKsrYNlWQ4LuPkeYaKazJu1DM0NMu0SFcIo6UINjkknK7wfOn3qH38z01JOUPkMs9n9NAJ+owR/sdo43y9QqFQ1EMi2MeI7ty0REsRXFPPkJM7qvzDKgWnLjB00QCeEACJYCKYMTe1cPn669c+z8AdzaREcJcFzl/+gsHwMPRfqvBrO9Zt5deExcsVPGid3MB/004uDaJWKPTYMDEpjCaCTQ5eG1hNBJ+tkvHwqYxOs/g2EoFHaxFsckjI3Mw/e2tyxj61cfu+jKQMjwBeu5kmhRCBw2jjfL1CoVDUQyLYx4ju3LQk0CK4xyrhzCWGxHTPTd7saBeytvPHBkXvP2FsSAQTwc5A7K9cwF654t/XnYQIdiQvwmB4GOxbMvy+f139EtbkKO7HzB+3T+zvDp8aWnQuRkF9k/j3iQgtjCiCTQ4J2aO+jB9dI5jQPyJEcEunhMg4BbOGakUnrXVh/zEFefsZZkfzz+KSJAUXq413ThLaYrRxvl6hUCjqIRHsY0R3bloSKBHc3Clj/zHZa7XoBXEK8g8zNL3n0TCC0BISwUSwYz1xhEvYdYl+fd2JimDbkQN80bqF02CyPAvIPnZaJKSu59eKuJQPz+6tuuGRWeVX6XpCTB6jimCTQ0JNvYxDJxl9gWJQRIhgk0NCTt7Y0iSzhv537xGakU5og9HG+XqFQqGoh0SwjxHduWmJv0XwzQYZG3d63+wlpCk4XUHlH4jgg0QwEfT02OCc/gmc0z+Bqcfmt9ediAg2NzyAc/rHcH73KcwPHgV0Pzv6PI8HJ6xh49YgbXgsY34sv7bsLzamyCN8x8gimDA2okTwwvixZUnmxrjQMMX68AQxFYw2ztcrFApFPSSCfYzozk1L/CGCe60Szl9m7kV7hss/5OQy1NSTZCOCFxLBRCjgWLscg+FhsJYU++01PyiCTQMYmP8N325xkSb7+bRXQvwqfh1JTFfQ3uf987ZeCTEr+c8zNzP02cW/N0RoQiKYMCrBJIJjk6k0CaEtRhvn6xUKhaIeEsE+RnTnpiW+iOCnvTKKShREr/AI4Mh4BXuPyu9dGZggggUSwUQo0H+5ipdniI/w22t+SATbN67GYHgYHMmLNN3X1i4Zccn8mpKapaDL4vnZmmzPjOEOM11jiKlDIpgwKqJEcH7R2MUK84vo/ovQFqON8/UKhUJRD4lgHyO6c9OSqYjge49lbM1nmBPjuZlLTFdQdomhm8o/ECEEiWAiJLC9hPPXrzEYHgZzS7tfXvN9Irj/UgUGw8PgjPgbTF0Wzff3cbuM6ES+sNBwGYjhepILlym0ojzhMySCCaMiSgS39Xlk8MJ4LoHb+rRtA0EYbZyvVygUinpIBPsY0Z2blkxGBJdflbEqy7v+76ZdCmrv0WCKCE1IBBOhgm3XRgyGh8GWv80vrzeeCDY/6YLzxz/CGR4Gy81bwvb3fivD7KixjxIfLqFHiQnfIRFMGBVRIpggggGjjfP1CoVCUQ+JYB8junPTkg+J4Kc9Mo6WKliS5BHAi5fz8g/NHTSIIkIbEsFEqGBuauHlIWb/HSb7K59fT1UE217CER/BhfPuLUL3t75JGiOBI6Jc2FZAIpjwHRLBhFEhEUwYGaON8/UKhUJRD4lgHyO6c9OS8UTw/VaG3H0M85Z6BuArMxSUVTH0WMW3myD8AYlgIpQYWPozBsPD0F9d7ftrqYhg295cLptjZsJkfSF0X5vaZBLBRMAgEUz8/+3d+1/UdaLH8f+Hs3vc0rZcTEwzMdMWlSwl8SiIKIFsoat5y8TWMtfES1ZWGlpSXkrbJdPYvFtpZqu25gWUizDMDHIbB4H3+YH1qwMDMzAw3/h+Xs/H4/V4nGGYCc5j5rvzfTcNpsYQTCZn2nm+UwMQHENwhOw+uEWroz/4lLvGr4z5bSfXl0sb9fWR23p1ze0OH/9w4kdOmMh5MQRTf6qyYLu8ibFyvb444vtqPwRXnDgpT2KsPFNG9NrnEEfaq2/6OwzBP/zb/p+L+n8MwWRqDMFkciad5zs5AMExBEfI7oNbNAr2n93OvO+Pv70w36+tBT79p5gTJXJuDMHUr7peJc+kofI8N0xlZe6I7itgCC6plGfGU23vNt6/1/7f87/d/eNCr77p16tv+nX0B/73iHonhmAyNYZgMjlTzvOdHoDgGIIjZPfBLRrd/cu97ctZ5teXhxjGyIwYgqm/Vb0iR97EWFXu/Syi+7l/CK5+Jbvtnca5823//YiiEUMwmRpDMJmcKef5Tg9AcAzBEbL74BaN8rZ0/E9uZ2Q28Y4rMiqGYOpv3Tx0UN7EWFX/dWZE93N3CK7cvbPtc4FnTVBZabXtvx9RNGIIJlNjCCaTM+U83+kBCI4hOEJ2H9yi0dEfOv4hnoW5Tbb/XETRjCGY+l1V9fJMfULexNiIPsvXXetXQ/E1eZ4bJs+kR1X+4zn7fzeiKMUQTKbGEEwmZ8p5vtMDEBxDcITsPrhFq/0HfXppcds7g199088f4SHjYgim/phr02p5E2NV9f7GHt+H212nmuykto+ZyN9i++9EFM0YgsnUGILJ5Ew6z3dyAIJjCI6Q3Qe3aFbl9anpTovtPweRHTEEU3+s4sdzbR/nkDJWZa6GHt2Hd+PrbR8xsWBWj++DqL/GEEymxhBMJmfaeb5TAxAcQ3CE0a38SwAAFlZJREFU7D64RTOGYDI5hmDqr7kznpU3MVYVx451+7YVRUXyJsbKmzxKZVdKbf9diKIdQzCZGkMwmZxp5/lODUBwDMERsvvgFs0YgsnkGIKpv1b5yUfyJsbKtXpZ9257pVSe5FHyJsaq/uQR238PIjtiCCZTYwgmkzPtPN+pAQiOIThCdh/cohlDMJkcQzD1266Vy/PMEHmeG6ayMnd4t3E1qHrBLHkTY+XZ9IZ8/mb7fw8iG2IIJlNjCCaTM+0836k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", 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