From e557e175fb8afca837e3a6f1ed25a8fbde1f931c Mon Sep 17 00:00:00 2001 From: aZira371 Date: Tue, 3 Dec 2024 22:56:18 +0000 Subject: [PATCH] DRAFT: for ENH/3-dof-simulation (See #655) ENH: adds 3 DOF simulation capability to rocketpy.Flight. *ENH: added "u_dot_3dof" for "solid_propulsion" mode *ENH: adding "u_dot_generalized_3dof" for "standard" mode (still incomplete) *ENH: new parameter "simulation_mode" for swtiching between 3 dof and 6 dof *ENH: updated conditions for "__init_equations_of_motion" *ENH: 2 new example files have been created to test 3 dof model "test_bella_lui_flight_sim" and "test_camoes_flight_sim" --- docs/examples/test_bella_lui_flight_sim.ipynb | 1552 +++++++++++++++++ docs/examples/test_camoes_flight_sim.ipynb | 847 +++++++++ rocketpy/simulation/flight.py | 439 ++++- 3 files changed, 2837 insertions(+), 1 deletion(-) create mode 100644 docs/examples/test_bella_lui_flight_sim.ipynb create mode 100644 docs/examples/test_camoes_flight_sim.ipynb diff --git a/docs/examples/test_bella_lui_flight_sim.ipynb b/docs/examples/test_bella_lui_flight_sim.ipynb new file mode 100644 index 000000000..e8a5b2ffb --- /dev/null +++ b/docs/examples/test_bella_lui_flight_sim.ipynb @@ -0,0 +1,1552 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bella Lui - EPFL - 2020\n", + "\n", + "Bella Lui Kaltbrunn Mission from ERT (EPFL Rocket Team)\n", + "Permission to use flight data given by Antoine Scardigli, 2020\n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "# Importing libraries\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from scipy.signal import savgol_filter\n", + "\n", + "from rocketpy import Environment, Flight, Function, Rocket, SolidMotor" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "ename": "OSError", + "evalue": "'seaborn-v0_8-dark-palette' not found in the style library and input is not a valid URL or path; see `style.available` for list of available styles", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\style\\core.py:127\u001b[0m, in \u001b[0;36muse\u001b[1;34m(style)\u001b[0m\n\u001b[0;32m 126\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m--> 127\u001b[0m rc \u001b[38;5;241m=\u001b[39m \u001b[43mrc_params_from_file\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstyle\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43muse_default_template\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[0;32m 128\u001b[0m _apply_style(rc)\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:852\u001b[0m, in \u001b[0;36mrc_params_from_file\u001b[1;34m(fname, fail_on_error, use_default_template)\u001b[0m\n\u001b[0;32m 838\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[0;32m 839\u001b[0m \u001b[38;5;124;03mConstruct a `RcParams` from file *fname*.\u001b[39;00m\n\u001b[0;32m 840\u001b[0m \n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 850\u001b[0m \u001b[38;5;124;03m parameters specified in the file. (Useful for updating dicts.)\u001b[39;00m\n\u001b[0;32m 851\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m--> 852\u001b[0m config_from_file \u001b[38;5;241m=\u001b[39m \u001b[43m_rc_params_in_file\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfail_on_error\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfail_on_error\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 854\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m use_default_template:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:778\u001b[0m, in \u001b[0;36m_rc_params_in_file\u001b[1;34m(fname, transform, fail_on_error)\u001b[0m\n\u001b[0;32m 777\u001b[0m rc_temp \u001b[38;5;241m=\u001b[39m {}\n\u001b[1;32m--> 778\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m _open_file_or_url(fname) \u001b[38;5;28;01mas\u001b[39;00m fd:\n\u001b[0;32m 779\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\contextlib.py:117\u001b[0m, in \u001b[0;36m_GeneratorContextManager.__enter__\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 116\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m--> 117\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mnext\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgen\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 118\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mStopIteration\u001b[39;00m:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:755\u001b[0m, in \u001b[0;36m_open_file_or_url\u001b[1;34m(fname)\u001b[0m\n\u001b[0;32m 754\u001b[0m encoding \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mutf-8\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m--> 755\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m \u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mencoding\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mas\u001b[39;00m f:\n\u001b[0;32m 756\u001b[0m \u001b[38;5;28;01myield\u001b[39;00m f\n", + "\u001b[1;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'seaborn-v0_8-dark-palette'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[1;31mOSError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[48], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mstyle\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43muse\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mseaborn-v0_8-dark-palette\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\style\\core.py:130\u001b[0m, in \u001b[0;36muse\u001b[1;34m(style)\u001b[0m\n\u001b[0;32m 128\u001b[0m _apply_style(rc)\n\u001b[0;32m 129\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mIOError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n\u001b[1;32m--> 130\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mIOError\u001b[39;00m(\n\u001b[0;32m 131\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m{!r}\u001b[39;00m\u001b[38;5;124m not found in the style library and input is not a \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 132\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvalid URL or path; see `style.available` for list of \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 133\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mavailable styles\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m.\u001b[39mformat(style)) \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01merr\u001b[39;00m\n", + "\u001b[1;31mOSError\u001b[0m: 'seaborn-v0_8-dark-palette' not found in the style library and input is not a valid URL or path; see `style.available` for list of available styles" + ] + } + ], + "source": [ + "plt.style.use(\"seaborn-v0_8-dark-palette\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## RocketPy Simulation\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define a dictionary with the inputs for the simulation\n" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "parameters = {\n", + " # Mass Details\n", + " \"rocket_mass\": (18.227 - 0.001, 0.010), # propellant mass = 1.373\n", + " # propulsion details\n", + " \"impulse\": (2157, 0.03 * 2157),\n", + " \"burn_time\": (2.43, 0.1),\n", + " \"nozzle_radius\": (44.45 / 1000, 0.001),\n", + " \"throat_radius\": (21.4376 / 1000, 0.001),\n", + " \"grain_separation\": (3 / 1000, 1 / 1000),\n", + " \"grain_density\": (782.4, 30),\n", + " \"grain_outer_radius\": (85.598 / 2000, 0.001),\n", + " \"grain_initial_inner_radius\": (33.147 / 1000, 0.002),\n", + " \"grain_initial_height\": (152.4 / 1000, 0.001),\n", + " # Aerodynamic Details\n", + " \"inertia_i\": (0.78267, 0.03 * 0.78267),\n", + " \"inertia_z\": (0.064244, 0.03 * 0.064244),\n", + " \"radius\": (156 / 2000, 0.001),\n", + " \"distance_rocket_nozzle\": (-1.1356, 0.100),\n", + " \"distance_rocket_propellant\": (-1, 0.100),\n", + " \"power_off_drag\": (1, 0.05),\n", + " \"power_on_drag\": (1, 0.05),\n", + " \"nose_length\": (0.242, 0.001),\n", + " \"nose_distance_to_cm\": (1.3, 0.100),\n", + " \"fin_span\": (0.200, 0.001),\n", + " \"fin_root_chord\": (0.280, 0.001),\n", + " \"fin_tip_chord\": (0.125, 0.001),\n", + " \"fin_distance_to_cm\": (-0.75, 0.100),\n", + " \"tail_top_radius\": (156 / 2000, 0.001),\n", + " \"tail_bottom_radius\": (135 / 2000, 0.001),\n", + " \"tail_length\": (0.050, 0.001),\n", + " \"tail_distance_to_cm\": (-1.0856, 0.001),\n", + " # Launch and Environment Details\n", + " \"wind_direction\": (0, 5),\n", + " \"wind_speed\": (1, 0.05),\n", + " \"inclination\": (89, 1),\n", + " \"heading\": (45, 5),\n", + " \"rail_length\": (4.2, 0.001),\n", + " # Parachute Details\n", + " \"CdS_drogue\": (np.pi / 4, 0.20 * np.pi / 4),\n", + " \"lag_rec\": (1, 0.020),\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Environment\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define the `Environment` object\n" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "# Environment conditions\n", + "env = Environment(\n", + " gravity=9.81,\n", + " latitude=47.213476,\n", + " longitude=9.003336,\n", + " date=(2020, 2, 22, 13),\n", + " elevation=407,\n", + ")\n", + "\n", + "env.set_atmospheric_model(\n", + " type=\"Reanalysis\",\n", + " file=\"../../data/weather/bella_lui_weather_data_ERA5.nc\",\n", + " dictionary=\"ECMWF\",\n", + ")\n", + "\n", + "env.max_expected_height = 1000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualize the `Environment` object\n" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Gravity Details\n", + "\n", + "Acceleration of gravity at surface level: 9.8100 m/s²\n", + "Acceleration of gravity at 1.000 km (ASL): 9.8100 m/s²\n", + "\n", + "\n", + "Launch Site Details\n", + "\n", + "Launch Date: 2020-02-22 13:00:00 UTC\n", + "Launch Site Latitude: 47.21348°\n", + "Launch Site Longitude: 9.00334°\n", + "Reference Datum: SIRGAS2000\n", + "Launch Site UTM coordinates: 500252.61 E 5228887.37 N\n", + "Launch Site UTM zone: 32T\n", + "Launch Site Surface Elevation: 407.0 m\n", + "\n", + "\n", + "Atmospheric Model Details\n", + "\n", + "Atmospheric Model Type: Reanalysis\n", + "Reanalysis Maximum Height: 1.000 km\n", + "Reanalysis Time Period: from 2020-02-22 00:00:00 to 2020-02-22 18:00:00 utc\n", + "Reanalysis Hour Interval: 4 hrs\n", + "Reanalysis Latitude Range: From 48.0° to 46.0°\n", + "Reanalysis Longitude Range: From 8.0° to 10.0°\n", + "\n", + "Surface Atmospheric Conditions\n", + "\n", + "Surface Wind Speed: 1.26 m/s\n", + "Surface Wind Direction: 213.21°\n", + "Surface Wind Heading: 33.21°\n", + "Surface Pressure: 980.43 hPa\n", + "Surface Temperature: 286.63 K\n", + "Surface Air Density: 1.192 kg/m³\n", + "Surface Speed of Sound: 339.39 m/s\n", + "\n", + "\n", + "Earth Model Details\n", + "\n", + "Earth Radius at Launch site: 6366.66 km\n", + "Semi-major Axis: 6378.14 km\n", + "Semi-minor Axis: 6356.75 km\n", + "Flattening: 0.0034\n", + "\n", + "\n", + "Atmospheric Model Plots\n", + "\n" + ] + }, + { + "data": { + "image/png": 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vEUCvm+tPtKriT8PyPoz4bR+bTyVyMSmTfReS+GTdCQ5dSi5SOQdib/D1xtMcupRMXHIWa4/Ek5SRS+WAu99AKufrysGLyVxMyiQpI9eQjGjUKno3Kse0tSep4O9eqFvu3URWKkNmrpZTCXe/yfRMy4q80ak6w37ew56b9UDrqmUpX8aNN5ZEc/xKKnvPJ/HpzUHoBX0Soo7F06qK/31bXx7WgdhknDRqw2yawvpJFyxhFpGVypCdp6NyWXfDWASAZpX8SM/RUqmse6FF/0pieOuKXE3L5s3F0ahU0LdxGJ1qBZJWhCTk0c82oVKB+82FCNtU9WdY64r3HPdwL4FeLix9qQX/99dxnv5hF7n5OkJ9XGlbLYCCbq+vPFoVB7WK6VGnuJqWTYCni2HgooNGzf+eqMXMDTFMjzpFkwp+hRZrLPB2lxro9TBmcTTpN6fh/fW5psXqQ3w3/ZqE8cRXW0nNzjMMQnyQPw5d5rUO1R6qXCGEsLRNpxJp+tEGHNQqvF0dqRnsxYTutejd8NZChCqVip+ebcqn607y1tJokjJyKevhTNOKfvecrOS/PF0c2HUuiR+3niMtR0s5H1fGP1bTMKnIfw1vXYk3lkTT8fNNZOfp2DK2naGrVr/G5fl64xn6NHrwAn2+7k50qhXEioNxd3SXKjCsVUVletyf9vDLc01oFO7H7Kcb886yQzz51TbC/Fx5t1tNhv2yF+ebN52ijiUYEjRTWRV9mScbhJo0yRHmpdLfrS1OCGG3Xp63j1oh3oxsV+WB+248eZWP1hxn7aut7+jbK4QQwrR2n0ti0JydbH+nfaGbe/dy/EoqT/+wi01vtcP9HtPxPsje80n0nrWDTW89gqeLI00/+psd44pWfkkkZeTy6Gf/8seoVjLTog2RbwxCiELGda2JexHvMmXl5vNJ77qSfAghhBnlaPO5kpLFjL9P0a1OcJG//NcM9uLtLjW4eKPoE6KsPRLPlhilu9nWmGuM+/0wjcN9CS/jTnJmLu89VtNkyQfApRuZfPhkbUk+bIy0gAghhBBCWJEley/y9rJDRIR4MWdIE4K8H64L8/0s23eJrzaeJi45Cz83J1pW8ee9x2riKzNSiYcgCYgQQgghhBDCbKTfhBBCCCGEEMJsJAERQgghhBBCmI0kIEIIIYQQQgizkXVAiuDXHef5btNZEtNzqBnsxcTutagf5mPpsCxi19nrzN58lsNxKVxNy+G7pxvRuVaQ4Xm9Xs/nUadYsOciqVl5NK7gy+Qedajo727YJzkzlwmrjrLh+FVUKuhaO4gJT9Qq8ZSApd3XG0+z7mg8Z66m4+KooWG4L+90rUHlsrcWncrOy+ejNcf549BlcrU62lQty4c9aheaWSQuOYv3lh9mx9nruDs50KtROcZ2rm6zM1D9tvMC83Ze4NKNLACqBnrwSvuqhrny5ZoJYTseVLf819XUbCavOc7huBTOX8/gmRYVmPBErXvuvyr6Mq8sOEDHiEC+H9LYFKdgdqa6ZilZeXy67iRrj8aTkplHqK8rHzweQbsad1+nxJqY6pr9sPUc83ZeUAbquzvRtXYwY7tUlwV670Nq4Qf4I/oyk1cf59UOVVkzuhURwZ4M+WEX19JzLB2aRWTm5VMz2ItJT959hfBZm87y0/bzfNSjNitGtsTV0YEhP+4iOy/fsM+rCw9yKiGd34Y15cdnmrD7XBLjfj9srlMwu13nkni6eTjLR7bkt2HN0ObrGPLDbjJzby2Q+OHqY2w4nsA3AxuyaEQkCWnZvDh3n+H5fJ2e537aQ16+nmUvteDTvvVYuu8S06NOWeKUzCLYy4W3u9Tgj9GtWDWqJS0ql2HEr3s5lZAGyDUTwpY8qG75rxytDj93J0a1q0LNIK/77nsxKZMpa47TtIKfMUItNUxxzXK1Op7+YReXbmTy7aCGbHijLVN71iHwIRcKLi1Mcc1WHozj47UneLVDVf4e05aPe9Vl9aHLfLLupDFDtzm2ecvZiOZsPUf/pmH0bRwGwEc96vDPiass3nuRlx958EJttqZd9YB7rtaq1+v5cds5Rj9ahU437yhM71ePxpP/Zv2xBLrXC+H01TQ2nUpk1aiW1C3nA8D/utfi2Z/3MP6xmjbzIXe7X59rWujnT/vUo9Hkvzl8KYVmlcqQmp3H4r0X+aJ/A1pU8Qfgk9716DB9E/tjb9CwvC+bYxKJuZrG3OebUdbTmVrAmI7V+PivE7zWoRpODrZ3L6FDRGChn9/qXIO5O2M5EHuDIG8XuWZC2JD71S13E+bnxv+6K3eiF++9eM/98nV6Xlt0kNc7VmX3uRukZuc9dKylhSmu2eK9F0nOzGPZSy1wvNlSbEvrb5jimu27cIPG4b48WT/U8Jru9UI4eDH5oeO1ZVID30euVseRuBRa3vyCA6BWq2hZxZ/9F5ItF1gpdTEpi8S0nELXy8vFkfphPuy/cAOA/ReS8XJxMCQfAK2q+KNWqTgQm2zmiC0jLVtp+fBxU+ZQP3Iphbx8faHrViXAg1AfV8N1O3DhBtWDvAp1L2pbrSxpOVpDi4Aty9fpWRV9mazcfBqW95VrJoQoki82xFDG3Yl+TcpbOhSr8PfxBBqW9+GDlUdoPDmKTp9v4uuNp8nXyYoN99Io3JfDcSmGhCP2eiYbT161iS5rpiQtIPdxIzOXfJ0ef4/CK3yW9XDmTGKGhaIqvRLTswHl+tyurIcziTe7rCWm59xxPR00anxcHQ372DKdTs+k1cdoHO5L9SBPQLkmTho13q6Ohfb193D6z3Vz+s/zzobnbNWJ+FR6frOdHK0ONycN3z3diKqBnhy7kirXTAhxX3vOJ7F4z0X+fLW1pUOxGrFJmWy/kUWP+iH89ExTzl/P4P2VR8jL1/Fah2qWDq9UerJ+KEkZufSZtR29HrQ6PYOalWdkO/vrJVMckoAIYUbvrzzCyfg0lr4UaelQrEIlfw/+fKU1adla/jxyhTeWRLNoRHNLhyWEKOXSc7S8vuggU3vVwU9W7C4yvR783Z2Y2rMuGrWKOuW8SUjN5rvNZyUBuYcdZ67z9cYzfPhkbeqX9+H8tUwm/XGUmRtieKV9VUuHV2pJAnIfvm5OaNSqOwacJ6bn3HGXX0BZD2X8RmJ6DgG3jeVITM8hItjr5j7Od1xPbb6O5Kw8m7+mH6w8oowfeiGSYG9Xw/ayHs7k5utIycordEf/Wnqu4ZqU9XDm4MWUQscruI62fN2cHNRUuDmDWp1y3hy6lMyP287zRN1guWZCiHu6cD2DSzeyeP6XvYZtOr3Sjajyu3/yzxttCS/jfq+X262yns44alRo1CrDtsoBHiSm5ZCr1cnYubuYHnWSng1D6d9U6eZXI8iLrDwt434/zKh2VVDfdi3FLfKXdB9ODmpqh3qz/fQ1wzadTs/209dpGO5jucBKqTA/V8p6OrP99HXDtrTsPA5eTKZhuC8ADcN9SM3WcvjSrS+G289cR6fX06C8j7lDNgu9Xs8HK4+w7mg884c3v2NAX+1y3jhqVIX+zs4kphOXnGW4bg3CfTkZn1ooedsScw1PZweqBnpgL3Q6ZWyWXDMhxP1ULuvButfa8OcrrQ3/OtQMJLJSGf58pXWhm0Dilsbhvpy/lonutjEf5xIzCPB0luTjHrLy8lH9J8dQ39wgI2fuTVpAHuD5VhV5Y0k0dcr5UD/Mmx+2niczV0ufRmGWDs0iMnK0nL9+a/zLxaRMjl5OwcfNiVAfV55rWZEv/4mhgr87YX6ufLb+FIFeznS6OaNRlQBP2lYryzu/H+Kjp+qgzdcxYdVRnqgbYpMzYIHS7Wrlwct8P6Qx7s4arqYpY2W8XBxxcdTg5eJI38ZhTF5zHG83RzydHZmw6ggNy/vQsLzyZbpN1bJUDfDk9UUHGde1JonpOXy2/iRPR4bj7GCb84x/vPYEj1QrS4iPKxm5WlYevMzOc9f59bmmcs2EsDEPqls+XnuChJRspverb9jn6GXlRlZmbj5JGbkcvZyCk0ZN1UBPXBw1hnF2BbxclNbS/263Vsa+ZgCDm4fz644LTPzjKENbVOD89Qy++fc0z7SoYM5TMxlTXLP2NQL5Yes5aoV40yDMh/PXM5gedYr2NQMLtSSJwlR6vV4StAf4Zft5Zm8+S2JaDjVDvPjfExE0uPklx97sOHOdAd/vvGN7r4bl+KxvPcNChPN3XyQ1O48mFXz58MnaVLpt0b3kzFw+WHmUDccTUKtUdKkdxP+62+5ChBXeWXPX7Z/0rkufm9M7Fyyqtyr65qJ61fz5sEdtAjxvJWWXbmTy3ooj7Dx7HTcnB3o1DOXtLjVsdlG9sUuj2Xb6OolpOXi6OFAj2JMX21amddWygFwzIWzJg+qWNxZHc+lGJoteuDV+7m6fraE+rmx759G7lvHG4mhSs/NsZiFCU12zfRdu8OHqYxy7kkqQlwv9moTxYtvKNvFl2hTXTJuv46uNp1l+II74lGzKuDvRvmYgb3aufsdEKeIWSUCEEEIIIYQQZiO3AYUQQgghhBBmIwmIEEIIIYQQwmwkARFCCCGEEEKYjSQgQgghhBBCCLORBEQIIYQQQghhNpKACCGEEEIIIcxGEpAiyNHm83nUKXK0+ZYOxarIdSs+uWYlI9dNCPsj7/vik2tWfHLNTMOiCcjmzZt54oknCAkJQaVSsWLFikLP6/V6PvjgA4KDg3F1daVDhw7ExMQU2icpKYlBgwbh5eWFj48Pw4YNIz09vdA+hw4donXr1ri4uBAWFsa0adOKFWeuVscXG2LI1epKdJ72Sq5b8ck1Kxm5buJhWEtdJAqT933xyTUrPrlmpmHRBCQjI4N69erx9ddf3/X5adOmMXPmTGbNmsWuXbtwd3enc+fOZGdnG/YZNGgQR48eJSoqitWrV7N582ZGjBhheD41NZVOnToRHh7Ovn37+OSTT/jf//7H7NmzTX5+QgghSj+pi4QQwsz0pQSgX758ueFnnU6nDwoK0n/yySeGbcnJyXpnZ2f9ggUL9Hq9Xn/s2DE9oN+zZ49hn7/++kuvUqn0cXFxer1er//mm2/0vr6++pycHMM+b7/9tr569epFji01K1cf/vZqfWpWbklPzy7JdSs+uWYlI9dNGEtprotEYfK+Lz65ZsUn18w0HCyb/tzbuXPniI+Pp0OHDoZt3t7eNGvWjB07dtC/f3927NiBj48PjRs3NuzToUMH1Go1u3bt4qmnnmLHjh20adMGJycnwz6dO3fm448/5saNG/j6+t5Rdk5ODjk5OYafkzOy0aZe49KlS3i6OJrojG1PRq4WXU4mly/H4e5Uav/UShW5ZiVjrddNp9ORkJBAgwYNcHCwnrjtSWmqi7RaLcePHycsLAy1WoZwWuv73pLkmhWfPVwzS9RFpfZKxsfHAxAYGFhoe2BgoOG5+Ph4AgICCj3v4OCAn59foX0qVqx4xzEKnrvbh/7UqVOZOHHirQ0qNeh1RHz7cOdkr2rMsHQE1keuWclY63XbvXs3TZo0sXQY4i5KVV0k7spa3/eWJNes+OzhmpmzLiq1CYgljRs3jjFjxhh+vnjxIrVr12b79u0EBwdbMLLC8vLy2Lx5M23atMHR0TpbZuQciu+lxcc4eiWDyY9XoU3lO7+0lJT8Looh7Qqqg7+hPrIMVV4mAHo3f3T1B6Ov3QdcvIp0mCtXrtCiRYs7vtwKAQ9fF2m1WkbOWc/xnLI0UZ/kk6fbovYJM2XIZmELn1X/JedU+tna+cCtc6pWrRpt2rQxa11UahOQoKAgABISEgp90CYkJFC/fn3DPlevXi30Oq1WS1JSkuH1QUFBJCQkFNqn4OeCff7L2dkZZ2dnw8/e3t4AhIWFUa5cuYc4K+PKy8vj2LFjVKhQwWrfDHIOxZfveAG1s54q4WFUqOBvtOPK76IIrhyCHV/BkWWg04IrUL4WtBgNdXqDg/MDD3G7gqZu6U5Tell7XTTzJTee/HYX+2jA1nWLGPLqlCInyKWVLXxW/ZecU+lna+cDt84pLEy5MWHOuqjU1noVK1YkKCiIDRs2GLalpqaya9cuIiMjAYiMjCQ5OZl9+/YZ9vnnn3/Q6XQ0a9bMsM/mzZvJy8sz7BMVFUX16tXv2uQtRGmXnq0FwMOl1N4/sC16PZzeAL8+Cd+1hkOLlOSjQmsYuARe3gENBhU7+RDWwdrrokohZekRpowjmXLjUc7Mew3ytSYrTwghisKiCUh6ejoHDx7k4MGDgDLY7+DBg8TGxqJSqXjttdeYPHkyq1at4vDhwwwZMoSQkBB69OgBQM2aNenSpQvDhw9n9+7dbNu2jVGjRtG/f39CQkIAGDhwIE5OTgwbNoyjR4+yaNEivvjii0LN2kJYk7ScmwmIsyQgJqXNheiFMKsVzO0JZ/8FlQZq94LhG+GZ1VCtE6hUlo5UPCRbr4uahbrSopwj2Tgz5nQ9tGvfNXmZQghxPxb9BrN3717atWtn+Lngg3jo0KH8/PPPjB07loyMDEaMGEFycjKtWrVi7dq1uLi4GF4zb948Ro0aRfv27VGr1fTq1YuZM2canvf29mb9+vWMHDmSRo0a4e/vzwcffFBofnYhrIVeryc9R1pATCo7Ffb9DDu/hbTLyjZHd2g4BJq/BL7hFg1PGJ+t10VqFfxf/0ge+2IT0XlV+GbHAV4p+z00HW7ysoUQ4m4s+g3mkUceQa/X3/N5lUrFpEmTmDRp0j338fPzY/78+fctp27dumzZsqXEcQpRWmTm5lPwlvF0to0+qKVGShzs+hb2/QI5qco2j0Bo9gI0ehbc/CwbnzAZe6iLgr1d+LBnA15bdJCZ2qdot+Z/1PGtCFU7PPjFQghhZHILVQgrUtD6oVGrcHEstUO4rEv8Edj+JRxZqoztAPCvpgwsr9tPxnYIm/Fk/RDWH43nzyPxvJ77IqsXD8fl+TUQGGHp0IQQdkYSECGsSNrNAeieLg6oZOxByen1ypiO7V/CmVuDiwlvpSQeVTuBzEwlbIxKpWLyU3XYcz6J0+nl+CSzG+8v6AfP/wMeZS0dnhDCjkgNK4QVSctWZtCRAegllJ8HhxYrs1n91kNJPlRqqPUUDP8Hnl0D1btI8iFslp+7Ex/3rgvAD/nd2H7dAxYOhLxsC0cmhLAnUssKYUXSZQaskslJgx1fw8wG8PtwiD8Mjm7Q9AUYvR/6/AyhjSwdpRBm8WiNQAY0LQ/AW9qXSL14GFaOhPuMgxFCCGOSbzFCWJH027pgiSJIvaIMLN/7M+SkKNvcyyoDyxsPk4Hlwm6991hNtp2+RmwSTNQ+w2dHvgX/qvDIO5YOTQhhB+RbjBBWRNYAKaKrx2HPLKW7le7mwm9lqt4aWO7ocv/XC2Hj3J0dmN63Hn2+28Gy/NZ0VO+hy79ToUwVqNPb0uEJIWycfIsRworcWgVdpuC9g16P6vwWmp/5FMcDh25tL99CSTyqydgOIW7XuIIfL7SpzKxNZ3iX0TTSj6bsipfBpzyENbV0eEIIGya1sRBWRMaA3EW+Fg4vhdltcZj3FIGph9Cr1BDxJDy/AZ77C2p0k+RDiLt4vWNVagR5kpTnyDjn99Brc2DBALhxwdKhCSFsmNTIQliRggTES8aAQE66slr5zAawbBhciUbv4MpZ/w5oX9oFfX+Fco0tHaUQpZqzg4bP+9XHUaPi79RyLPEYBJnXYH4/yE6xdHhCCBslCYgQVkSm4QXS4uHvifB5BKx9B1Jiwc0f2o1HO/ogh8OGgG9FS0cphNWoGezFmI7VAZiY9gQXXSMg8TgseVZpYRRCCCOTBEQIK5JmGANihwnI1RPKVKEz6sDW6crd2TJV4PEZ8PoRaDsW3MpYOkohrNKINpVoUsGXjFwdb7hOIl/jpqyTs1ZmxRJCGJ8kIEJYEbsbA6LXw7ktMK8vfNMMDsyF/FwIaw7958PIPdD4WXB0tXSkQlg1jVrFZ33q4+akYfflXH6sMVt5Ys/3sGu2ZYMTQtgcSUCEsCJ2sw5IvhaOLIPv28Evj0PMOkAFNZ+AYVEwbB3UeEwGlgthROXLuPH+4xEAfHLQgZNNpyhPrH0bYqIsGJkQwtZI7S2EFbnVAmKj0/DmpMPOWfBlA1j6HFw+AA4uyqKBo/dBv7kyPagQJtS/SRiP1gggN1/H6zF1ya37NOh1yniQhKOWDk8IYSMkARHCitjsGJC0BNgwCT6vpdxtTY5VxnM8Mg5ePwqPT4cylS0dpRA2T6VS8X+96uDr5sixK6nMdH0ZwltBbhrM7w/pVy0dohDCBkgCIoQVKWgBsZkuWIknYeUomFEbtnwG2cngVwke+wxeOwKPvAPu/paOUgi7EuDpwpSn6gDwzeZz7GvxDfhVVmacWzgQ8rIsHKEQwtpJAiKEldDr9bcSEGsehK7Xw/ltyt3Ur5vCgd+UgeXlmipdrEbthSbPg5ObpSMVwm51rRPMUw1C0enhjVVnyey9EFx84NIeZTY6vd7SIQohrJgVf4sRwr5k5eWTr1MqfavsgqXLh+OrYPuXELfv5kaVMpi8xWgo39yi4QkhCvtf91rsPHud89czmbI7h8n9foPfnlImiChTBdq9a+kQhRBWSlpAhLASBTNgqVXg6qixcDTFkJuhTOM5swEseUZJPjTO0OhZGLUH+s+T5EOIUsjb1ZFP+9QDYO7OWDbl1YTHP1ee3PQxHFpsweiEENbMCm+jCmGf0m5bA0SlUlk4miJIvwq7Z8OeOZB1Q9nm6gdNh0OT4eBR1rLxCSEeqGUVf55pUYGft59n7NJo1r3WH59rMbB9ptIVyyccyjezdJhCCCsjCYgQVuLWGiClfAreazGw4ys4uADyc5RtvhUgchTUHyRjO4SwMm93qcHmmETOJmbw/sqjfNlvIiSdhROrlUHpwzco73EhhCgi6YIlhJUo1aug6/VwYQcsGABfNYZ9PyvJR2gj6PMLjN6vtHxI8iGE1XF10vB53/po1Cr+iL7MqsPx0HM2BNeDzGswvx9kp1g6TCGEFZEERAgrkVYaV0HX5cOxlfBDR/ipC5z8U9lerSs8+xc8vwFq9QC1FY1ZEULcoV6YD6PaVQHg/RVHiM/SwICF4BkMiSeU8V35WssGKYSwGpKACGEl0rLzgFIyA1ZuJuz+Hr5sBIuHKFNzapyg4RAYuQcGLoTwFmANY1WEEEUy6tEq1C3nTUpWHmOXHULvGawkIY5ucOYfZRFRmZ5XCFEEkoAIYSVKRResjGuwcaqycOCfb8KNc8raAK3fVBYO7P4llK1mufiEECbjqFEzvW89nB3UbD6VyNxdsRBSH3p+D6iUCSd2fWfpMIUQVkASECGsRLolu2BdPwOrX4fPa8Gm/4PM6+BTHrpOgzHHoP374Blo/riEEGZVJcCTt7vUAGDKmuOcu5YBNR+HjhOVHdaNg1PrLRihEMIaSAIihJWwSAvIxd2wcJDS1Wrvj6DNhpAG0PsnGH0Amr0ATu7mi0cIYXHPtKhAi8plyMrLZ8zig2jzddDiFWjwNOh1sPQ5SDhq6TCFEKWYJCBCWIlb64CYeBpevQ6Or4YfOimDy0+sBvRQrQs8swaGb4TaPUFTCsaiCCHMTq1W8Umfeng6O3AgNpnvNp9Vxns9Nh0qtIbcNGVmrLQES4cqhCilJAERwkoUdMEy2SD0vCzCr/2Dw6zmsGgQXNylDCxvMBhe3gUDF0GFVjKwXAhBqI8r/+teC4DPo05xJC4FHJyg76/gVxlSLiprhORlWThSIURpJAmIEFaioAuW0ceAZFyHfz/G4asG1L/4M6qks+DiDa3GwGuH4cmvIaCGccsUQli9ng1D6VwrEK1Oz5jFB8nOywc3Pxi0RJmcIm4vrHgJdDpLhyqEKGUkARHCShRMw+tprDEgSWdhzRvKwPJ/p6DKvEamkz/5HT+C149BhwngGWScsoQQNkelUjHlqTr4ezhxKiGdz9afVJ4oUxn6zQW1IxxdDv9OtWygQohSRxIQIaxEmrG6YF3aC4uehpkNlWkztVkQXA9tj9n8HfEJuqYvgLOHESIWQti6Mh7O/F/PugDM2XqOnWevK09UbA1PzFAeb54G0YssE6AQolSSBEQIK/FQs2DpdHDiT/ixK8xpD8dXAXqo0hGG/gEjNqGv1RO9SlYsF0IUT4eIQPo1DkOvhzcWRxtaa2kwGFq+pjxeNQpid1osRiFE6SIJiBBWokRjQPKyYd/P8HVTWDgAYrcr3SLqD4aXdsDgpVCxjQwsF0I8lPefiKCcrytxyVl8uPrYrSfaT4Aaj0N+rjIoPemc5YIUQpQakoAIYQX0ev2tWbCKMg1vZhJs+kRZsfyPV+F6DDh7K3cjXzsMPb6GwAjTBi2EsBsezg5M71sflQoW771E1LGbU/Cq1dBzNgTXUxYwnd8PspItGqsQwvIkARHCCuRodWh1euABY0CSzsGfbykDyzdOhoxE8CoHnafAmKPKasVewWaKWghhT5pW9GNE60oAvLPsENfSc5QnnNxhwCLwDIFrJ2HJM5CfZ7lAhRAWJwmIEFagYAC6SgXuTncZpxG3DxYPhS8bwu7ZkJcJQXWg5xx49SBEjgRnT/MGLYSwO2M6VaN6oCfXM3IZv/wwer1y4wSvYBi4EBzd4OxG+GssFDwnhLA7koAIYQUKBnV6ODugKhivodPBybXwUzf4/lE4tkJZxbxKBxiyEl7YAnX7gMbEK6cLIcRNzg4apverh6NGxbqjCSzbH3fryeB60GsOoIK9P8KuWRaLUwhhWZKACGEFDAPQnR2UgeX7f4VvmsOCfnBhG6gdoN4AeGk7DF4GlR6RgeVCCIuoFeLNax2qATBx1VEu3ci89WSNx6DjJOXxunfh1DoLRCiEsDRJQISwAoYB6PnJMKMOrBqt9KV29oIWr8Crh+CpWRBYy7KBCiEE8GLbyjQK9yUtR8tbSw6h093W3arFaGg4RGmxXfocxB+xXKBCCIuQBESI0u7GBdJ2/AiAR0YsZFwFr1DoNBlePwqdPgTvUAsHKYQQt2jUKj7rUw83Jw07zl7nx223Tb+rUsFj05UpwHPTlZmx0hIsF6wQwuwkARGitLp8AJY8CzPrk35qMwAezhp4aja8Gq3cRXTxsnCQQghxdxX83Rn/WE0Apq07SUxC2q0nNY7Q91coUxVSLynrFOVlWShSIYS5SQIiRGmi08Gp9fDz4zD7ETj6O+h1pJepC4Bn1ZZQr58MLBdCWIWBTcvTtlpZcrU6Xl98kLx83a0nXX1h4CLl/7h9sPxF5TNQCGHzJAERojTQ5sCBufBtJMzvA+e3KAPL6/SFF7aQXu85ADxdJPEQQlgPlUrFtN518XFz5EhcKl9uiCm8Q5nK0G8eqB2Vmfz+nWKROIUQ5iUJiBCWlJUMW6bDjLqwciQkngAnT4gcpXSz6vU9BNcl9bZpeIUQwpoEerkwuUdtAL7+9wwHYm8U3qFCS+g+U3m8+ROIXmjmCIUQ5ibfZoSwhORY2PmtMp1ubrqyzTMYmr8EjZ4BF+9CuxtmwbrfKuhCCFFKPV43hPVHE1gVfZk3Fkez5pXWuN6+qGr9gXAtBrZOV2b58wmH8EjLBSyEMClpARHCnK5Ew9Jh8EV92PmNknwE1IIes5SpdFu+ekfyAbfWAZEWECGEtfrwydoEejlz9loG//fX8Tt3ePR9qNkd8nNh0SBIOnfnPkIIm1DqE5C0tDRee+01wsPDcXV1pUWLFuzZs8fwvF6v54MPPiA4OBhXV1c6dOhATEzhPqZJSUkMGjQILy8vfHx8GDZsGOnp6eY+FWGv9HqI+Rt+6Q7ftYEjS0GfDxXbKosGvrQN6g8AB6d7HqKgBcRTWkCEsAipix6et5sjn/SuB8AvOy6wJSax8A5qNTz1HYQ0gMzrML+v0k1VCGFzSn0C8vzzzxMVFcVvv/3G4cOH6dSpEx06dCAuLg6AadOmMXPmTGbNmsWuXbtwd3enc+fOZGdnG44xaNAgjh49SlRUFKtXr2bz5s2MGDHCUqck7IU2Fw7Oh29bwLxecG4TqDRQpw+8sBmGroIqHYq0YnmaoQVEBqELYQlSFxlHm2plebp5OABvLTlESmZe4R2c3GDAQmWto2unYMkzkJ9354GEEFatVCcgWVlZLFu2jGnTptGmTRuqVKnC//73P6pUqcK3336LXq9nxowZvPfeezz55JPUrVuXX3/9lcuXL7NixQoAjh8/ztq1a5kzZw7NmjWjVatWfPnllyxcuJDLly9b9gSFbdLmwJ4f4MuGsOIluHoMnDyg+cibA8vnQHC9Yh1SxoAIYTlSFxnXuG41qOjvTnxqNh+sussq6J5BShLi6A5nN8KfbyktyUIIm1GqExCtVkt+fj4uLi6Ftru6urJ161bOnTtHfHw8HTp0MDzn7e1Ns2bN2LFjBwA7duzAx8eHxo0bG/bp0KEDarWaXbt2medEhH3Iy4Jd3ynjO9aMgZSL4BEIHf6nrFjeZQr4hJXo0Jm5SgLifvugTSGEWUhdZFxuTg581rceahWsPHiZNYeu3LlTcF3o/QOggn0/KWPmhBA2o1TfTvX09CQyMpIPP/yQmjVrEhgYyIIFC9ixYwdVqlQhPj4egMDAwEKvCwwMNDwXHx9PQEBAoecdHBzw8/Mz7PNfOTk55OTkGH5OS1NWb9VqteTllZ6m4IJYSlNMxWUT55CZQqWra3H4+k3IuAqA3jMYXeQr6OoPBkfXmzuW/BwzbnbBclKb7lrZxO/Cys5Bq9VaOgRRBNZcF5XW90SdYA9ebFOJbzadZfzyw9Qv50mAp3PhnSp1QN1hEpq/30e/bjz5XmHoq3Uttef0MOScSj9bOx+w7DmV6gQE4LfffuO5554jNDQUjUZDw4YNGTBgAPv27TNZmVOnTmXixIl3bN+wYQP+/v4mK7ekoqKiLB3CQ7PGc9DkZ1Px2gYqX/2LOtpUADIdyxAT9ASxfq3RJTpC1EajlJWapQFU7N6+hXOuRjnkPVnj7+K/rOUcrl27ZukQRBFZe11UGt8TlXVQzl3DpYw8np+9kRdq6O4cEqcvT13/R6l47R9YNoxtVd8jxa0CUDrP6WHJOZV+tnY+AJs3bzZ7maU+AalcuTKbNm0iIyOD1NRUgoOD6devH5UqVSIoKAiAhIQEgoODDa9JSEigfv36AAQFBXH16tVCx9RqtSQlJRle/1/jxo1jzJgxhp/j4uKIiIigffv2hIaGGvkMSy4vL4+oqCg6duyIo6N1Dk62ynPISUO9dw7qXd+iykoCIMOpLA6PvoNj/QFEaJyIMGJxer2e13YqH3hdO7W/8y6hkVjl7+I/rO0cCgYwi9LPWuui0v6eqNkknR6zdnI8GVIDajGgyV26qeZ3Qrd4IA5nN9I27huyn/6T9TuPlNpzKonS/nsqCVs7J1s7H7h1Tm3atDF72aU+ASng7u6Ou7s7N27cYN26dUybNo2KFSsSFBTEhg0bDB/yqamp7Nq1i5deegmAyMhIkpOT2bdvH40aNQLgn3/+QafT0axZs7uW5ezsjLPzrS95qanK3W0HB4dS+Ufn6OhYKuMqDqs4h6wbyhiPnd9Adoqyza8y2pavs+GiG10bdTfJOWTn5RvGX3q5OZv8OlnF7+IBrOUcHBys5iNY3GStdVFpfU9ElPNlbOfqTF5znKl/naJNtUAq+LsX3snREfr+Aj90QpV4Apffh6IJHF1qz+lhyDmVfrZ2PoBFzqfU137r1q1Dr9dTvXp1Tp8+zVtvvUWNGjV49tlnUalUvPbaa0yePJmqVatSsWJF3n//fUJCQujRowcANWvWpEuXLgwfPpxZs2aRl5fHqFGj6N+/PyEhIZY9OWEdMpNgx9ewezbkKF8A8K8Obd6C2j3R5+vQX/rTdMXn5hseuzmV+resEDZJ6iLTea5lRaKOJbDrXBJjFh9kyYst0Kj/0xfLxRsGLoY57VElHKZR9regexKwrS+CQtiLUj0LFkBKSgojR46kRo0aDBkyhFatWrFu3TpDtjZ27FhGjx7NiBEjaNKkCenp6axdu7bQbCXz5s2jRo0atG/fnm7dutGqVStmz55tqVMS1iQ5Fr5tCVs+VZKPgFrQ+yd4eQfU7QNq089KVTAA3dlBfWelLIQwC6mLTEetVvFZ33p4ODuwPzaZWZvO3H1H33DoPx+9xpnglAOo//7AvIEKIYym1N9O7du3L3379r3n8yqVikmTJjFp0qR77uPn58f8+fNNEZ6wZZlJ8FtPSLsMfpWg4ySo/piyWq8ZqW8mHTILvhCWI3WRaZXzdWPCExG8tfQQM/4+xSPVy1IrxPvOHcOakt/9KxyWD0ez5zvwC4fIkeYPWAjxUEp9C4gQFpGbAfP7wvUY8CoHQ1dDzSfMnnyA0vIBkKvVoZfFuIQQNqp3o3J0iggkL1/PmEXRZOfl33U/fcRTHA3pp/ywbjwcXW7GKIUQxiAJiBD/la+FJc/CpT3g4gNP/w7elpv9zMXxVjevHK3OYnEIIYQpqVQqpvSsg7+HEycT0pgedeqe+54O6EZ+4+cBPfz+AlzYYb5AhRAPTRIQIW6n18PqVyFmHTi4KoMey1a3aEgFLSAAOXmSgAghbJe/hzNTe9YF4PstZ9l19vrdd1Sp0HX8CGo8Dvk5sKA/JN47YRFClC6SgAhxu38+hANzQaWGPj9B+btPj2lODmoVBWPPs7V375IghBC2omNEIH0bl0OvhzeWRJOWfY9VmtUa6Pk9lGsC2ckwtxekJZg1ViFEyUgCIkSBXd/Bls+Ux4/PgOpdLRpOAZVKZeiGJS0gQgh78P7jEZTzdeXSjSw+XH3s3js6ucGAhcpEISmxML8P5KSbL1AhRIlIAiIEKIMY/3pbedzuPWg01LLx/EdBNyxpARFC2ANPF0c+61MPlQoW771E1LH7tGy4+8PgZeDmD1eiYckzylg+IUSpJQmIEOc2w+8jAD00eR7avGnpiO4gLSBCCHvTrFIZhreuBMC43w9xPT3n3jv7VVLG7Dm4wukoWPO6MqZPCFEqSQIi7Fv8YVg4CPJzoWZ36DoNVKVvsb+CFpAcaQERQtiRMR2rUT3Qk2vpuby7/PD9pyIv1wh6/6iM4dv/K2z+xHyBCiGKRRIQYb9uXFAGLeakQnhLZTCjGVY2Lwlnh5stIDINrxDCjrg4apjerx6OGhXrjiawbH/c/V9Qoxt0u5l4bPwIDsrCj0KURpKACPuUcR3m9oT0BAiIgP7zwdHF0lHdk4vjzTEg91iYSwghbFWtEG9e61ANgImrjhKXnHX/FzR5Hlq+pjxeNRrO/GPaAIUQxSYJiLA/uRnKTCnXT4N3mDJ40dXH0lHdl7SACCHs2YttK9Mo3Je0HC3v/H4E3YOGd7SfAHX6gE4Li4Yo3W2FEKWGJCDCvuTnKTOkxO0DV18l+fAKsXRUD+TsKGNAhBD2S6NW8Vmferg5adh57gabrjxgrJ5aDU9+DRVaQ24azOsDyRfNE6wQ4oEkARH2Q6+HVa9AzPpSs8p5URW0gGTLLFhCCDtVwd+d8Y/VBGB1rJqYqw9Y78PBGfrNhbI1Ie0KzOsNWcmmD1QI8UAOxdlZp9OxadMmtmzZwoULF8jMzKRs2bI0aNCADh06EBYWZqo4hXh4GyZC9HxQaaDPzxDW1NIRFZmhBUTGgAg7J/WQfRvYtDzrj8SzKeYaby07zPKXW+HkcJ97qa4+MHgpzOkAiSdg0WCl5dvB2WwxCyHuVKQWkKysLCZPnkxYWBjdunXjr7/+Ijk5GY1Gw+nTp5kwYQIVK1akW7du7Ny509QxC1F8O2fB1s+Vx098AdW7WDaeYrq1EKG0gAj7JPWQAFCpVEx5qhZuDnqOXk7jy39iHvwi73IwaAk4ecL5LbDiJdDJZ6kQllSkFpBq1aoRGRnJ999/T8eOHXF0dLxjnwsXLjB//nz69+/P+PHjGT58uNGDFaJEjvwOa99RHj/6HjR82rLxlIAsRCjsndRDokCApzN9K+n4+ZSGrzeepl2NABqW973/i4LqQL9flbEgR5YpSUnHSeYJWAhxhyK1gKxfv57FixfTrVu3u37oA4SHhzNu3DhiYmJ49NFHjRqkECV2dhMsfwFllfPh0Lr0rXJeFLdaQKQLlrBPUg+J2zUoo6d73WB0ehiz6CCZudoHv6jyo9D9S+Xxti9g9/emDVIIcU9FSkBq1qxZ5AM6OjpSuXLlEgckhNFcOfSfVc4/LpWrnBeFtIAIeyf1kPivCY/XIMjLhfPXM5n654mivaj+QGj3nvL4z7fg+GrTBSiEuKdiDUIvkJ2dzaFDh7h69Sq6//Sj7N69u1ECE+Kh3DivzHiSmwbhrUr1KudFIS0gQhQm9ZDwcnXk0z71GPzDLn7beYEOEYG0rVb2wS9s8yakxML+X2HZMBi6GsKamD5gIYRBsROQtWvXMmTIEK5du3bHcyqVivx8+YIkLCzjGvxWsMp5Leg/r1Svcl4UhoUIpQVECKmHhEGrqv4806ICP28/z1tLoln/eht83Jzu/yKVCh77HNLilWnZF/SDYVFQRlrNhDCXYq8DMnr0aPr06cOVK1fQ6XSF/smHvrC4nHRlkGHSGatZ5bwoXBylBUSIAlIPidu93aUGlcq6czUth/dWHCnaizQO0PsnCK4Pmddhbi9ITzRpnEKIW4qdgCQkJDBmzBgCAwNNEY8QJZefB4uHwOX94OoHg38Hr2BLR2UU0gIixC1SD4nbuTpp+LxvfTRqFasPXWFV9OWivdDZQ1mQ1qc83DintITkZpo2WCEEUIIEpHfv3vz7778mCEWIh6DXw6rRcGbDbaucV7N0VEZT0AKSIy0gQkg9JO5QL8yHUe2qAPDe8sPEp2QX7YWegcrNKldfiNunjAnRyeesEKZW7DEgX331FX369GHLli3UqVPnjukQX3nlFaMFJ0SR/T0Bohcoq5z3/cXmBhQaWkBkIUIhpB4SdzXq0SpsPHmVQ5dSeGtpNL8+1xRVUWY+9K8KAxbCL93h5J/K7FiPfWa1syYKYQ2KnYAsWLCA9evX4+Liwr///lvoza1SqeSDX5jfjm+UOd0Bus+Eap0tG48JFMyClZMnd+aEkHpI3I2jRs30vvV5bOYWtsRcY+7OCzwdWaFoLy7fHHp9D4uHwt4fwCcMWr1u0niFsGfF7oI1fvx4Jk6cSEpKCufPn+fcuXOGf2fPnjVFjELc2+GlsG6c8rj9B9BgsGXjMRHDOiDSAiKE1EPinqoEePBO1xoAfPTncc4mphf9xRFPQucpyuO//weHlhg/QCEEUIIEJDc3l379+qFWF/ulQhjX2X9h+YvK46YvQKsxFg3HlJwLZsGSFhAhpB4S9zU0sgItq5QhO0/HmMXRaPOLceMm8mVoPlJ5vOIlOLfZNEEKYeeK/ek9dOhQFi1aZIpYhCi6K9GwcDDo8iCiB3SZatP9dV1ujgHJllmwhJB6SNyXWq3ik9718HRx4ODFZL7990zxDtBpslKv6PKUeibhmEniFMKeFXsMSH5+PtOmTWPdunXUrVv3jsF/06dPN1pwQtxV0jmYe3OV8wqtoedsq17lvCgKWkByi3MnTwgbJfWQeJAQH1cmPVmL1xdF88WGGB6pHkCdct5Fe7FaDU99pyxmG7sD5vWG5/8GrxDTBi2EHSl2AnL48GEaNGgAwJEjhRf8KdJsE0I8jPREmNsTMq5CYB1llXMHZ0tHZXK3WkCkC5YQUg+JouhRP5SoYwn8eTie1xcfZPXoVobxdA/k6AL958OPneHaKWWB22f/Ahcv0wYthJ0odgKyceNGU8QhxIPlpMP8PpB0Vlk4avBScCniHS0r52xYB0RaQISQekgUhUqlYnKPOuw+d4PTV9OZtvYkHzwRUfQDuPnBoKUwpwMkHIHFT8PAJeDgZLqghbATMoJPWAdtrvLhf/kAuJWBwcvBM8jSUZlNwTS8+Tp98QZUCiGEHfNzd2Ja7zoA/LjtHNvPXCveAXzDYdBicHRXJj754xVl4VshxEMpUgLy4osvcunSpSIdcNGiRcybN++hghKiEJ0OVo2CM/+Ao5tyB8q/iqWjMqvbuw1kSyuIsENSD4mSerRGIAOalgfgzcXRpGbnFe8AIQ2UBW5VGmXB240fmSBKIexLkbpglS1bllq1atGyZUueeOIJGjduTEhICC4uLty4cYNjx46xdetWFi5cSEhICLNnzzZ13MKe/D0BDi0CtQP0/RXKNbJ0RGbnpLl1ryAnLx8P52L3nhTCqkk9JB7Ge4/VZNvpa8QmZfK/VUeZ3rd+8Q5QtSM8/rnSArL5E/AuB42eMUWoQtiFIrWAfPjhh5w6dYqWLVvyzTff0Lx5c8qXL09AQADVq1dnyJAhnD17ltmzZ7Nz507q1q1r6riFvdjxNWyfqTzu/pVSCdghtVplSEKkBUTYI6mHxMNwd3Zget96qFXw+/441h65UvyDNBoKbcYqj1ePgVPrjRukEHakyLdRAwMDGT9+POPHj+fGjRvExsaSlZWFv78/lStXlplHhPEdXgrr3lUed/gf1B9g0XAszdlRTW6+jhyZCUvYKamHxMNoXMGPF9pW5tt/zzDu98M0DPclwNOleAdp9y6kXILo+bBkKDyzBkIbmiZgIWxYifpx+Pr64uvra+xYhLjlzMZbq5w3ewlavmbRcEoDZwcNaWhlJiwhkHpIlMzrHarx78lEjl9JZdyyw8wZ2rh4iatKBd1nQtoVOLsR5vdV1gjxrWCymIWwRTILlih9Lh+ERTdXOa/VEzpPselVzovK5eZUvLIWiBBClIyTg5rP+9XDSaNmw4mrLN57sfgH0Tgq4xED60BGorIwbmaS8YMVwoZJAiJKl6SzyqqzuelQsS08NUtZlVYYpuKVFhAhhCi5GkFevNGpGgCT/jhG7PXM4h/ExQsGLQGvcnA9BhYMgLwsI0cqhO2Sb3ai9EhPhN96KneUgupAv7l2scp5URVMxSstIEII8XCeb12JphX8yMjN580l0eTrSrC2h1ewsiCuszdc3Am/j1CmjRdCPJAkIKJ0yElTWj5unAOfcBi0TLnDJAykBUQIIYxDo1bxWd96uDtp2H0+iTlbzpbsQAE1of880DjB8VWwfrxxAxXCRkkCIixOpdOiWfYsXDmorHL+9HLwDLR0WKWOtIAIIYTxhPm58cETEQB8tv4Ux6+kluxAFVtDj2+Vxzu/UaaPF0LcV5FmwWrQoEGRZ4nYv3//QwUk7IxeR4PYOahvbAdHd6VPbZnKlo6qVJIWEGHPpB4SptC3cRhRxxL4+/hVXl90kJWjWuLsoCn+ger0htQ4iPoA1o0Hr1Co1cPo8QphK4qUgPTo0cPEYQh7pd7wP8JubEevdkDV91cItb9VzouqoFKUBETYI6mHhCmoVCqm9qzL/hmbORGfxoy/Y3i7S42SHazFK5B8EfZ8r4wH8QiE8EjjBiyEjShSAjJhwgRTxyHs0fYv0ez6BoD8x2fiULWDhQMq3Qqm4ZWFCIU9knpImEpZT2emPFWHF+fu47tNZ2hfI4DGFfyKfyCVCrp+DKmX4eQaWNAfhkVB2WrGD1oIK1eiMSDJycnMmTOHcePGkZSkzH29f/9+4uLijBqcsGGHFsP69wA4GtIPfZ2+Fg6o9JMWECFukXpIGFOX2kH0algOnR7GLI4mI0dbsgOpNdBrDpRrAtnJMK8XpCUYNVYhbEGxE5BDhw5RrVo1Pv74Yz799FOSk5MB+P333xk3bpyx4xO26PQGWPESAPlNX+B0QDcLB2QdnKUFRAhA6iFhGhO6RxDq40psUiaT1xwv+YGc3GDAQvCrBMmxML8P5KQbL1AhbECxE5AxY8bwzDPPEBMTg4uLi2F7t27d2Lx5s1GDEzbo8gFYPAR0WqjdG12HD2WV8yIyzIIlLSDCzkk9JEzBy8WRT/rUBWDB7lj+OfEQLRfu/jBoqTKz45VoWPIM5JewVUUIG1TsBGTPnj288MILd2wPDQ0lPj7eKEEVyM/P5/3336dixYq4urpSuXJlPvzwQ/T6WwsG6fV6PvjgA4KDg3F1daVDhw7ExMQUOk5SUhKDBg3Cy8sLHx8fhg0bRnq63I0wu+tnYO7NVc4rPaJMW6iSmaCLqmAWLJmGV9g7c9ZDIHWRPWlR2Z9hrSoCMHbpYZIyckt+sDKVYeBicHCF01Gw5nXQl2DBQyFsULG//Tk7O5Oaeudc2adOnaJs2bJGCarAxx9/zLfffstXX33F8ePH+fjjj5k2bRpffvmlYZ9p06Yxc+ZMZs2axa5du3B3d6dz585kZ2cb9hk0aBBHjx4lKiqK1atXs3nzZkaMGGHUWMUDpF+FuT0h8xoE1YW+v4GDk6WjsioFLSA5edICIuybOeshkLrI3rzVuTpVAzy4lp7D+OWHCyWaxVauMfT+UbnZtv9X2Pyp8QIVwooVOwHp3r07kyZNIi8vD1CmsIuNjeXtt9+mV69eRg1u+/btPPnkkzz22GNUqFCB3r1706lTJ3bv3g0od5xmzJjBe++9x5NPPkndunX59ddfuXz5MitWrADg+PHjrF27ljlz5tCsWTNatWrFl19+ycKFC7l8+bJR4xX3YFjl/Dz4VoDBssp5SdxaB0RaQIR9M2c9BFIX2RsXRw2f96uPg1rFX0fiWXHwISc2qNENuk5THm+cDAfnP3yQQli5Ik3De7vPPvuM3r17ExAQQFZWFm3btiU+Pp7IyEg++ugjowbXokULZs+ezalTp6hWrRrR0dFs3bqV6dOnA3Du3Dni4+Pp0OHW9K3e3t40a9aMHTt20L9/f3bs2IGPjw+NGzc27NOhQwfUajW7du3iqaeeuqPcnJwccnJyDD+npaUBoNVqDRVeaVAQS2mK6Q75uWgWDUJ9JRq9mz/a/ovB2Rf+E3upPocHMNc5OKiUu3CZuab5O5TfhflptdInvCTMWQ+BdddF1vaeKApznFP1ADdGtavMjA2n+WDlURqFeRPs7fLgF95Lg2dQ34hFs2Mm+lWjyXcti77SI4an5fdU+tna+YBlz6nYCYi3tzdRUVFs3bqVQ4cOkZ6eTsOGDQt98BrLO++8Q2pqKjVq1ECj0ZCfn89HH33EoEGDAAx9fQMDAwu9LjAw0PBcfHw8AQEBhZ53cHDAz8/vnn2Fp06dysSJE+/YvmHDBvz9/R/6vIwtKirK0iHcnV5HowuzKHdjJ1q1M9vCRpG88wRw4o5dS+05FIOpz+HkVRWg4dLleP7880+TlSO/C/O5du2apUOwSuash8A26iJreU8Uh6nPqbweKnhoOJ+uZdjsf3k5Qof6YeZM0TekoW8kYTd2oF80mK1Vx5PqFl5oF/k9lX62dj6ARSbvKHYCcvHiRcLCwmjVqhWtWrUyRUwGixcvZt68ecyfP59atWpx8OBBXnvtNUJCQhg6dKjJyh03bhxjxowx/BwXF0dERATt27cnNDTUZOUWV15eHlFRUXTs2BFHR0dLh1OYXo/67/fQ3NiJXu0A/ebSolK7O3Yr1edQROY6h/xDV1hw5jBevmXo1q2J0Y8vvwvzkzUrSsac9RBYd11kbe+JojDnOdVpnkH3r3cQkwrX/WoyNDL8wS+6H21HdAv74nhhG4/EfYX2mXXgXU5+T1bA1s4Hbp1TmzZtzF52sROQChUq0KpVKwYPHkzv3r3x9fU1RVwAvPXWW7zzzjv0798fgDp16nDhwgWmTp3K0KFDCQoKAiAhIYHg4GDD6xISEqhfvz4AQUFBXL16tdBxtVotSUlJhtf/l7OzM87OzoafCwY7Ojg4lMo/OkdHx9IX17YvYPd3AKh6fItD9U733b1UnkMxmfoc3JyVQfu5+XqTliO/C/NxcCj2R7DAvPUQ2EZdZC3vieIwxzlVDfLh3W41eX/lUT5ZH8MjNQKpEuBZ8gM6OkL/+fBjF1SJx3Fc1B+eWwuOHjeflt9TaWdr5wNY5HyKPQh97969NG3alEmTJhEcHEyPHj1YunRpoX6qxpKZmYlaXThEjUaDTqfMAlSxYkWCgoLYsGGD4fnU1FR27dpFZGQkAJGRkSQnJ7Nv3z7DPv/88w86nY5mzZoZPWYBRC+EqA+Ux50mQ11Z5dwYXBwLpuGVWbCEfTNnPQRSF9m7wc3DaVOtLDlaHa8viiYv/yE/g119YPBS8AyGxBOwcDBoTfO3K0RpVewEpEGDBnzyySfExsby119/UbZsWUaMGEFgYCDPPfecUYN74okn+Oijj1izZg3nz59n+fLlTJ8+3TBYT6VS8dprrzF58mRWrVrF4cOHGTJkCCEhIfTo0QOAmjVr0qVLF4YPH87u3bvZtm0bo0aNon///oSEhBg1XgHE/A0rRyqPI0dBi9GWjceGODvcnIZXZsESds6c9RBIXWTvVCoV03rVxdvVkcNxKXz1z+mHP6h3OWWhQidPuLAVzR+jQC83l4T9KPEqcCqVinbt2vH999/z999/U7FiRX755RdjxsaXX35J7969efnll6lZsyZvvvkmL7zwAh9++KFhn7FjxzJ69GhGjBhBkyZNSE9PZ+3atYVWx503bx41atSgffv2dOvWjVatWjF79myjxiqAuH23Vjmv0wc6fvjg14gic3YsmIZXKikhwDz1EEhdJCDI24UPe9QG4KuNpzl4MdkIB60N/X4FtQPqY8uJuLzk4Y8phJUocQfkS5cuMX/+fObPn8+RI0eIjIzk66+/NmZseHp6MmPGDGbMmHHPfVQqFZMmTWLSpEn33MfPz4/582XebZO6fgbm9YG8DKjUDp78BtSyyrkxudxsAZEuWEIozFEPgdRFQtG9XghRxxL4I/oyYxYdZM0rrXF10jzcQSs/Ct2/ghUvUvXqGvL3/gCRLxonYCFKsWInIN999x3z589n27Zt1KhRg0GDBrFy5UrCwx9yZghhvdIS4LenIPM6BNeDfrLKuSncagGRLljCvkk9JCzlwydrsfvcdc5ey+DjtSf4X/daD3/Q+gPIvxGLZtMU1OvHgW8Y1Hjs4Y8rRClW7FvUkydPplmzZuzbt48jR44wbtw4+dC3Z9mpMK8XJF8A34pKn1bnh5ghRNyTi2PBGBBpARH2TeohYSk+bk5M610PgJ+3n2dLTKJRjqtr+TrnyzyCSq+DpcPg4h6jHFeI0qrYLSCxsbGoVA+zEo+wGdocWDQI4g+De1l4+nfwCHjw60SJODso9wtytTp0Oj3qh1oRSwjrJfWQsKS21crydPNwftt5gbeWHGLda23wdnvIaUxVKg6FDaW8jwPqM3/Dgn4wLArKVDZO0EKUMsVuAVGpVGzZsoXBgwcTGRlpWEjrt99+Y+vWrUYPUJRSOh0sfxHObQYnDxi0BPwqWToqm1bQAgLSCiLsm9RDwtLGdatBRX934lOzmbDqiFGOqVdpyO85B4LrK12a5/aCjGtGObYQpU2xE5Bly5bRuXNnXF1dOXDggGHe9ZSUFKZMmWL0AEUppNfDunfh6O+gdoC+v0JIA0tHZfMKWkBAaQURwl5JPSQszc3Jgc/61kOtghUHL7Pm0BXjHLjghp5PONw4B/P7QW6mcY4tRClSojEgs2bN4vvvvy+0cmLLli3Zv3+/UYMTpdS2L2DXt8rjHt9ClfaWjcdOOGrUaG52u8qWgejCjkk9JEqDhuV9GdmuCgDjVxzmamq2cQ7sEQCDl4GrL8TthWXPg04+84VtKXYCcvLkSdq0aXPHdm9vb5KTk40RkyjNDi6Avycojzt9JKucm1lBK0iOTMUr7JjUQ6K0GP1oVWqFeJGcmcfYZYfQ6/XGObB/VRiwEDTOcHIN/DVW6X0ghI0odgISFBTE6dN3rgK6detWKlWSMQA2LSbqP6ucj7JsPHbIkIBIC4iwY1IPidLCyUHNjH71cXJQ8+/JRObvjjXewcs3h17fAyrYM0fpfSCEjSh2AjJ8+HBeffVVdu3ahUql4vLly8ybN48333yTl156yRQxitLg0s1VzvX5UKevrHJuIQUD0WUxQmHPpB4SpUnVQE/Gdq4OwOTVxzl/LcN4B494EjrfHNf09wQ4vNR4xxbCgoo9De8777yDTqejffv2ZGZm0qZNG5ydnXnzzTcZPXq0KWIUlnbtNMzvA3mZyqqtT34tq5xbiLSACCH1kCh9nmtZkb+PJ7DzbBJjFh9k8QuROGiMVE9GvgwpF2HnN8rskx6BULG1cY4thIWUaBre8ePHk5SUxJEjR9i5cyeJiYlMmDCBy5cvmyJGYUlp8TD35irnIQ2gr6xybknODtICIoTUQ6K0UatVfNqnHp7ODuyPTea7zWeNW0Cnj5TWEF0eLBwEV48b9/hCmFmJ03MnJyciIiJo2rQpHh4eHD16lLCwMGPGJiwtOwXm9obkWGWNj4FLwNnD0lHZNRdHaQERooDUQ6I0KefrxoTutQCY8fcpjl5OMd7B1Wp4ajaENYecm3VzqpGm/hXCAqQfjbg7bY5ylyXhMLgHwODfwaOspaOyewUtILIQoRBClD69GobSKSKQvHw9ry86SHaeEW8WObrAgAVQpiqkXoJ5fSA71XjHF8KMJAERd9LpYPkLcH7LbaucV7R0VAJwvtkCYtRKTQghhFGoVCqm9qyDv4cTpxLSmR51yrgFuPnB4KXKjcGEw7D4adDmGrcMIcxAEhBRmF4Pa9+Bo8tB7Qj95kJIfUtHJW6SFhAhhCjdyng483896wLw/Zaz7Dx73bgF+FaAgYvA0R3O/gt/vCJrhAirU+RZsA4dOnTf50+ePPnQwYhSYOvnsPs75fFTs6ByO8vGIwpxkRYQYcekHhLWokNEIP0ah7Fo70XeWBzN2tda4+niaLwCQhtCn59hQX+IXgDeYfDoeOMdXwgTK3ICUr9+fVQq1V1X+SzYrlKpjBqcMLMD82DDROVx56lQp7dl4xF3kBYQYc+kHhLW5L3Ha7LtzDUu3cjiw9XHmNa7nnELqNYJHv9caQHZPA28Q6HRM8YtQwgTKXICcu7cOVPGISzt1HpYdXP+/JavKvOOi1JHWkCEPZN6SFgTTxdHpvetT7/ZO1i89xIdagbSqVaQcQtpNBRSLikJyOox4BmiJCZClHJFTkDCw8NNGYewpEt7YclQZZXzegOgw0RLRyTuQVpAhD2TekhYm6YV/RjRuhLfbT7LuN8P0zDcF38PZ+MW0u5dJQmJng9LnoFn1yjrdglRiskgdHt3LUaZyi8vE6p0gO5fgnRhKLUKZsHKkYUIhRDCKrzesRrVAz25npHLuN8P37UL4UNRqeCJL6BSO8jLgHl94cZ545YhhJFJAmLPUq/Abz0hKwlCGkKfX0BjxEFywuhcClZCl4UIhRDCKrg4avi8X30cNSqijiWwdN8l4xfi4AR9f4XAOpBxVVmoMDPJ+OUIYSSSgNir7BSY1xtSYsGvsrLWh6xyXupJC4gQQlifiBAvXu9YDYCJfxzjYlKm8Qtx8YJBi8GrHFyPgQUDIC/b+OUIYQSSgNijvGxYMBASjoBHIDz9O7j7WzoqUQTODjcTEGkBEUIIq/JCm8o0DvclPUfLm0ui0elMsHaHV4iyUKGzN1zcCb8PVxYXFqKUkQTE3ujyYfkIuLAVnDxh0FJlUSNhFVwcb3bBkhYQIYSwKhq1is/61sPNScOuc0n8uM1Es7oF1IT+80DjBMdXwXpZH0SUPkWeBet2S5cuZfHixcTGxpKbm1vouf379xslMGECej389TYcW6l8MPWfB8F1LR2VKAZpARFCIfWQsEbhZdx577EI3l1+mGnrTtK6almqB3kav6CKraHHt7BsGOz8BrzLQeRI45cjRAkVuwVk5syZPPvsswQGBnLgwAGaNm1KmTJlOHv2LF27djVFjMJYtnwGe74HVPDUd1CpraUjEsVU0AIiY0CEPZN6SFizAU3DeLRGALlaHWMWHyTXVNOq1+l9a1r9dePh6ArTlCNECRQ7Afnmm2+YPXs2X375JU5OTowdO5aoqCheeeUVUlJSTBGjMIb9v8E/HyqPu34MtXtaNh5RItICIoTUQ8K6qVQq/q9XHXzdHDl6OZWZG2JMV1jLV6HJcEAPv4+ACztMV5YQxVDsBCQ2NpYWLVoA4OrqSlpaGgBPP/00CxYsMG50wjhOroU/XlUet3odmr1g2XhEiRUsRChjQIQ9k3pIWLsATxc+eqoOAN/8e5oDscmmKUilUm46Vn8M8nNgQX9IPGWasoQohmInIEFBQSQlKXNLly9fnp07dwJw7tw54y+uIx7exd3Kyqj6fKg3ENpPsHRE4iG4OEoLiBBSDwlb0K1OME81CEWnh7eWHSHHVB/rag30mgOhjSE7Geb1grQEExUmRNEUOwF59NFHWbVqFQDPPvssr7/+Oh07dqRfv3489dRTRg9QPITEUzC/L2izoGon6D5TVjm3ctICIoTUQ8J2/K97LYK9XbiQlMnKCyacmNTJDQYuAr9KkBwL8/tATrrpyhPiAYo9C9bs2bPR3ZxTeuTIkZQpU4bt27fTvXt3XnhBuvaUGqmXYW5PyLoBoY2gz8+yyrkNcJYWECGkHhI2w9vVkU/71GPQnF1sS1CzOeYa7SOCTVOYu78y9f4PHeFKtNI7YsBC0JRoQlQhHkqx/+rUajVq9a0svX///vTv39+oQYmHlJUMc3tDykUoUwUGLgEnd0tHJYzARVpAhJB6SNiUllX8GdK8PL/ujGXc8qOsr1AGHzcn0xRWpjIMXAw/Pw6no2D1a9D9S+kdIcyuRO19W7ZsYfDgwURGRhIXFwfAb7/9xtatW40anCiBvGxYOBCuHgWPIBj8O7iXsXRUwkhubwGRvu7Cnkk9JGzJmx2rEuCi52paDu+tOGLawso1ht4/gkoNB36DzZ+Ytjwh7qLYCciyZcvo3Lkzrq6uHDhwgJycHABSUlKYMmWK0QMUxaDLh9+fhwvbwNkLBi8F33BLRyWMqGAaXp0etDpJQIR9knpI2BpXJw2Dq+ajUatYfegKKw/GmbbAGt2g6zTl8caP4OB805YnxH8UOwGZPHkys2bN4vvvv8fR8daYgpYtW8rqs5ak18NfY+H4HzdXOZ8PQXUsHZUwsoKFCAGy82QciLBPUg8JWxTuASPbVgLg/RVHuJKSZdoCmw6Hlq8pj1eNhjP/mLY8IW5T7ATk5MmTtGnT5o7t3t7eJCcnGyMmURKbP4U9cwAV9JwNFVtbOiJhAk6aW2/ZHFOtnitEKSf1kLBVL7atSL1y3qRmaxm79JDpu9q2nwC1e4NOC4uGQPxh05YnxE0lWgfk9OnTd2zfunUrlSpVMkpQonhUB36DjZOVH7pOg1oyDaWtUqtVOBlWQ5cERNgnqYeErXLUqPmsb32cHdRsibnGbzsvmLZAtRp6fAMVWkNuGszrA8kXTVumEJQgARk+fDivvvoqu3btQqVScfnyZebNm8ebb77JSy+9ZIoYxX0EphxA89cbyg+t34BmIywbkDC5gnEg0gVL2Cuph4QtqxLgwbiuNQCY8udxziSaeL0OB2foNxfK1oS0K0oSkpVs2jKF3Sv2NLzvvPMOOp2O9u3bk5mZSZs2bXB2dubNN99k9OjRpohR3IPq0h4an/salV4H9QfDo+9bOiRhBi6OGtKytZKACLsl9ZCwdUMiK/D38atsPX2NMYujWfZiJA4aEy5U6OoDg5Yoa4QkHodFg2HwMiU5EcIEiv3XrFKpGD9+PElJSRw5coSdO3eSmJjIhx9+aIr4xL0knkSzeCAO+lx0lTvAEzNkHm87UdACkitdsISdknpI2Dq1WsUnferi6eJA9MVkvvn3jOkL9QlTkhAnTzi/BVa8DDqpZ4RplDiddnJyIiIigsDAQGJjYw2r0gozSImD33qiyrpBkltl8nv+IKuc25GCmbBkMUJh76QeErYs2NuVD5+sDcDMDTEcvpRi+kKD6kC/X0HtAEeWwoaJpi9T2KUiJyA//vgj06dPL7RtxIgRVKpUiTp16lC7dm0uXpSBSyaXdQPm9YbUS+jLVGFX5TGyyrmdcXa4tRihEPZE6iFhb56sH8JjdYLR6vS8tuiAebreVn5UWR0dYNsM2P296csUdqfICcjs2bPx9fU1/Lx27Vp++uknfv31V/bs2YOPjw8TJ0qmbFJ5WbBgIFw9Bh5BaAcsIdfB09JRCTNzllmwhJ2SekjYG5VKxeQetSnr6cyZxAymrT1pnoLrD4R27ymP/xoLJ9aYp1xhN4qcgMTExNC4cWPDzytXruTJJ59k0KBBNGzYkClTprBhwwaTBClQVjlf9jzEbgdnb2VwmHeYpaMSFnCrC5a0gAj7IvWQsEe+7k5M610XgB+3nWP76WvmKbjNm9BwCOh1sHQYXNprnnKFXShyApKVlYWXl5fh5+3btxdaCKpSpUrEx8cbNzqh0OthzRtwYjVonGHAfAiqbemohIVIC4iwV1IPCXvVrnoAA5uVB+DNJdGkZOWZvlCVCh77HKp2Am0WzO8L180wGF7YhSInIOHh4ezbtw+Aa9eucfToUVq2bGl4Pj4+Hm9vb+NHKGDTNNj3E6CCXt9DhVaWjkhYkLOD0gKSIy0gws5IPSTs2fhuNQkv48bllGwmrjpqnkI1DtD7JwiuD5nXYW4vyDBTC4ywaUVOQIYOHcrIkSP58MMP6dOnDzVq1KBRo0aG57dv307t2nJX3uj2/gT/TlEed/sEIp60bDzC4lwcpQVE2Ceph4Q9c3d2YHrfeqhV8PuBONYeuWKegp09lOl5fcrDjXMwvx/kZpqnbGGzipyAjB07luHDh/P777/j4uLCkiVLCj2/bds2BgwYYPQAK1SogEqluuPfyJEjAcjOzmbkyJGUKVMGDw8PevXqRUJCQqFjxMbG8thjj+Hm5kZAQABvvfUWWq3W6LEa3Yk1sGaM8rjNW9B0uGXjEaWCoQVEEhBhZ6QeEvauUbgfL7atDMC43w9zNS3bPAV7BMDg38HVF+L2KmNSddIKL0quyCuhq9VqJk2axKRJk+76/H8rAmPZs2cP+fm3/siPHDlCx44d6dOnDwCvv/46a9asYcmSJXh7ezNq1Ch69uzJtm3bAMjPz+exxx4jKCiI7du3c+XKFYYMGYKjoyNTpkwxScxGEbsTlj6nDP5q8DS0G2/piEQpUdACIoPQhb2RekgIeK1DNTaeTOT4lVTGLTvMnKGNUZljIWL/qjBgIfzSHU6uUWbH6vapLIIsSqTECxGaS9myZQkKCjL8W716NZUrV6Zt27akpKTwww8/MH36dB599FEaNWrETz/9xPbt29m5cycA69ev59ixY8ydO5f69evTtWtXPvzwQ77++mtyc3MtfHb3cPW4MthLmw3VusDjM+QNLgycHaUFRAhzsst6SJRaTg5qZvSrj5NGzYYTV1m0x4xr35RvroxFRQV75sC2L8xXtrAppT4BuV1ubi5z587lueeeQ6VSsW/fPvLy8ujQoYNhnxo1alC+fHl27NgBwI4dO6hTpw6BgYGGfTp37kxqaipHj5ppEFdxpFxSBnllp0C5psrgL02RG6qEHXBxkBYQISzFLuohUepVD/Lkzc7VAPhw9TFir5txTEbEk9D5Zsvd3xPg8FLzlS1shlV9s12xYgXJyck888wzgDLjiZOTEz4+PoX2CwwMNEzFGB8fX+hDv+D5gufuJicnh5ycHMPPaWlpAGi1WvLyTDj1XVYyDr/1RJUah75MVbR95oLKEe5RZkEsJo3JxOQciu9m/kFWrnH/HuV3YX4yBsD6mKseAuPURdb2nigKOSfFkGZhrD8az94LyYxZfIC5zzVBozZTb4nGw1HfuIBm9yz0y18k37UM+vDCM3Ta2u/J1s4HLHtOVpWA/PDDD3Tt2pWQkBCTljN16tS7rqa7YcMG/P39TVKmWpdLi9PTKJNxiixHX7YEvUTWvzuL9NqoqCiTxGROcg5Fd/ayCtBw9sJF/vzzgtGPL78L87l2TaaztDbmqofAuHWRtbwnikPOCbr5weGLGvZeSGbsD2tpH6o3UWR3oW9OY599hCbvQb9gIFuqvkeaa7k7drO135OtnQ/A5s2bzV5miROQ3Nxczp07R+XKlXFwMH0ec+HCBf7++29+//13w7agoCByc3NJTk4udPcpISGBoKAgwz67d+8udKyC2UkK9vmvcePGMWbMGMPPcXFxRERE0L59e0JDQ411SrfotGiWPYs64xR6Zy8chqykXUDEA1+Wl5dHVFQUHTt2xNHR0fhxmYGcQ/Hd2H2RFReOUyYgiG7d6hvtuPK7ML+4uDhLh2DVbLkeAuPURdb2nigKOafCXMIv8e6KY/wV58DwJ5pTI8jTRFHehbYDuvm9cby4k3aXv0b7zFrwDAZs7/dka+cDt87p9gVdzaXYn9iZmZmMHj2aX375BYBTp05RqVIlRo8eTWhoKO+8847RgwT46aefCAgI4LHHHjNsa9SoEY6OjmzYsIFevXoBcPLkSWJjY4mMjAQgMjKSjz76iKtXrxIQEAAo2auXlxcREXf/ku/s7Iyzs7Ph59TUVAAcHByM/0en18PqN+HUX6BxRjVgIY6h9Yp1CEdHR6t/M8g5FJ2bs1JGXr7eJOXJ78J8zPGl2RbZQz0Exq2LrOU9URxyTooBzSrwz8lr/H38Km8tO8LKUS0N07WbnKMjDFgAP3RCdT0Gx0UD4dk/wcXrtl1s6/dka+cDWOR8ij0Ifdy4cURHR/Pvv//i4uJi2N6hQwcWLVpk1OAK6HQ6fvrpJ4YOHVqowvb29mbYsGGMGTOGjRs3sm/fPp599lkiIyNp3rw5AJ06dSIiIoKnn36a6Oho1q1bx3vvvcfIkSMLfbBbzL//B/t+RlnlfA5UaPmgVwg753JzFqzsPJkFS9gnqYeEuEWlUjG1Z13KuDtxIj6Nz6NizBuAmx8MXgruAZBwGBYPgXzbGSchTKPYCciKFSv46quvaNWqVaF5p2vVqsWZM2eMGlyBv//+m9jYWJ577rk7nvv88895/PHH6dWrF23atCEoKKhQ87hGo2H16tVoNBoiIyMZPHgwQ4YMuec88ma190fY9H/K48c+hYjulo1HWAVnh4KV0GUWLGGfpB4SorCyns5M6VkHgO82n2HP+STzBuBbAQYtBkd3OLsRVr2i9PAQ4h6K3f6fmJhoaEK+XUZGhskWwunUqRP6e/whu7i48PXXX/P111/f8/Xh4eH8+eefJomtxI6vhjVvKI/bjIUmz1s2HmE1XGQdEGHnpB4S4k6dawXRu1E5lu67xBuLo/nz1dZ4OJuxm2dIA+jzMyzoD9HzUXuGAHXNV76wKsVuAWncuDFr1qwx/FzwYT9nzhxDf1fxABd23FrlvOEQaPeupSMSVsRZ1gERdk7qISHubsITEYT6uBKblMlHa46ZP4BqneDx6QBotn5K+Wv/mj8GYRWKnRpPmTKFrl27cuzYMbRaLV988QXHjh1j+/btbNq0yRQx2parx2FBP8jPgerd4LHPZZVzUSy3umBJC4iwT1IPCXF3ni6OfNqnHgPn7GTB7ot0qBlI+5qBD36hMTV6RllUefMn1Lv4M7rTnaBmV/PGIEq9YreAtGrVioMHD6LVaqlTpw7r168nICCAHTt20KhRI1PEaDuSL8JvPZVVzsOaQa8fZJVzUWwyCF3YO6mHhLi3yMplGNayIgBvLztMUkau+YNoNx5d3f6o0aH5fRhcPmD+GESpVqJvv5UrV+b77783diy2LTMJ5vaCtMtQtgYMWAhObpaOSlghGYQuhNRDQtzPm52rszkmkVMJ6YxffphvBjU02fiou1KpyO82nWvnDhOQdhTm9YXn/wbfcPPFIEq1YreAdOjQgZ9//tkwH7kogtxMZVDWtZPgGQKDlynT1glRAs4Fg9ClBUTYKamHhLg/F0cN0/vWx0Gt4q8j8aw4aIFFTzVO7Kn4CvqAWpBxVbkJm2nm2blEqVXsBKRWrVqMGzeOoKAg+vTpw8qVK8nLk/me7ylfqww4v7gLXLzh6d/Bu5yloxJWzOVmC0huvg6dTqY5FPZH6iEhHqx2qDevdagKwAcrj3I5OcvsMWg1rmj7LQSvULgeAwsGQF622eMQpU+xE5AvvviCuLg4VqxYgbu7O0OGDCEwMJARI0bI4L//0uthzevKKucOLjBgEQTUtHRUwsoVtICAkoQIYW+kHhKiaF5sW5kG5X1Iy9by5pJoy9y08gqGQUvB2Rsu7oTlI0AndZe9K3YCAqBWq+nUqRM///wzCQkJfPfdd+zevZtHH33U2PFZt41TYP+voFIrA87DZXpI8fAKxoCATMUr7JfUQ0I8mINGzfS+9XF11LD9zHV+2XHeMoEERkD/uaB2hGMrYf17lolDlBolSkAKxMfHM2vWLD7++GMOHTpEkyZNjBWX9TvyO2yepjx+bDrUfNyy8Qib4ahRo1ErgwllKl5h76QeEuL+Kvq78+5jSu+L//vrBKcS0iwUSBvo8a3yeOfXsOcHy8QhSoViJyCpqan89NNPdOzYkbCwML799lu6d+9OTEwMO3fuNEWM1unEzUWymgyHxs9aNhZhcxw1SgKSKwmIsENSDwlRPIObladttbLkaHW8NHcf6TlaywRStw+0n6A8jvoAUi9bJg5hccWehjcwMBBfX1/69evH1KlTady4sSnisn65Gcr/QXUsG4ewSZqb0ynmyyB0YYekHhKieFQqFdP71uOxmVs5k5jBuN8PM7N/ffNOzVug5Wtw8k+4tAfWvQt9fjZ/DMLiip2ArFq1ivbt26NWP1TvLduXm6787+Ru2TiETVLf7IKVr5cERNgfqYeEKL4yHs58PagB/b7byR/Rl2kc7svQFhXMH4harXRNn90Wji6HhkOgsozdsjfF/vTu2LEjarWaxMREtm7dytatW0lMTDRFbNatoAXEycOycQibVDAGRKbhFfZI6iEhSqZRuB/juinjQSavOcb+2BuWCSS4LjQdoTxe8yZocywTh7CYYicgmZmZPPfccwQHB9OmTRvatGlDSEgIw4YNIzMz0xQxWidDAiKrnQvjc5AWEGHHpB4SouSea1mBbnWCyMvXM2refpIyci0TSLt3wSMQks7A9pmWiUFYTLETkNdff51Nmzbxxx9/kJycTHJyMitXrmTTpk288cYbpojROhkSEOmCJYxPLWNAhB2TekiIklOpVHzcqy6V/N25nJLNa4sOWqYucfGGTh8pjzd/CjfOmz8GYTHFTkCWLVvGDz/8QNeuXfHy8sLLy4tu3brx/fffs3TpUlPEaJ0MY0CkC5YwvltdsCwciBAWIPWQEA/H08WRbwY3xMVRzeZTiczcEGOZQOr0hgqtQZsNf71jmRiERZSoC1ZgYOAd2wMCAqTp+3YaR+X/nHTLxiFskqEFRLpgCTsk9ZAQD69GkBdTnlJm6pz5Twz/nEgwfxAqFTz2Gagd4NRfcGG7+WMQFlHsBCQyMpIJEyaQnZ1t2JaVlcXEiROJjJSVvg2C6yn/X95v2TiETSqYOVEvCYiwQ1IPCWEcPRuW4+nm4ej18OrCg5y/lmH+IMpWhwZPK483TAKp1+xCsafh/eKLL+jcuTPlypWjXj3lS3Z0dDQuLi6sW7fO6AFardBGcPpviJMERBifIQGxbBhCWITUQ0IYz/uPR3DsSir7Ltzghd/28fvLLXB3LvbXw4fTdixEL4DYHRATBdU6mbd8YXbFbgGpXbs2MTExTJ06lfr161O/fn3+7//+j5iYGGrVqmWKGK1TSEPlf2kBESZQ0AVLbhQJeyT1kBDG4+Sg5ptBDSnr6czJhDTeXnbI/K3rXiHQdLjy+J9JMsDRDpQoxXVzc2P48OHGjsW2hN5MQBJPQk4aOHtaNh5hUwrWrpUuWMJeST0khPEEernw7aCG9J+9k9WHrlCvnA/D21QybxCtxsC+XyD+MBxbDrV7mbd8YVYlWkb25MmTjBo1ivbt29O+fXtGjRrFiRMnjB2bdfMIAO8wQA+XD1o6GmFjDC0gFo5DCEuRekgI42pcwY8JT0QAMPWv42w/fc28Abj5QYvRyuN/PoJ8rXnLF2ZVoml4a9euzb59+6hXrx716tVj//791KlTh2XLlpkiRusV0kD5P26fZeMQtudmE4ishC7skdRDQpjG4Obh9GpYDp0eRi04QFxylnkDaP4SuPkrixMenGfesoVZFbsL1tixYxk3bhyTJk0qtH3ChAmMHTuWXr2kycwgtBEcXyUJiDC6gi5Ykn8IeyT1kBCmoVKp+Oip2pxMSOVIXCovzd3H4hcicXHUmCcAZ09o/QasGwebPoa6/cDRxTxlC7MqdgvIlStXGDJkyB3bBw8ezJUrV4wSlM0oGAdy+YBl4xA251YXLMlAhP2RekgI03Fx1DBrcCN83Rw5dCmF91ccMe94w8bPgVc5SI2DvT+ar1xhVsVOQB555BG2bNlyx/atW7fSunVrowRlM4LrAypIuQjpVy0djbAhKsModIuGIYRFSD0khGmV83XjywENUatgyb5LzNsVa77CHV3gkbeVx1s+VSbyETanSF2wVq1aZXjcvXt33n77bfbt20fz5s0B2LlzJ0uWLGHixImmidJauXgpC+wknlDWA6nexdIRCRtR0AIiXbCEvZB6SAjzalXVn7FdavB/f51g4h9HqRnsRaNwX/MUXm8gbPsCrp+Gnd8q64QIm1KkBKRHjx53bPvmm2/45ptvCm0bOXIkL774olECsxkhDW8mIPskARFGJ12whL2QekgI83uhTSUOXUrmz8PxvDR3H6tfaUWApxnGZGgcoN14WPosbP8SmjyvzJIlbEaRumDpdLoi/cvPzzd1vNYnVBYkFMYnLSDC3kg9JIT5qVQqpvWuR9UAD66m5TBy3n5ytWZaJDCiBwTVgZxU2Pq5ecoUZlOidUDuJjk5ma+++spYh7MdoY2U/+P2ybLVwmgKxoDIQoRC3CL1kBDG5+HswHdPN8LT2YE952/w0Zpj5ilYrYZHP1Ae754NqZfNU64wi4dOQDZs2MDAgQMJDg5mwoQJxojJtgTWBo0TZN2AG+csHY2wEbcSEMvGIURpIPWQEKZVqawH0/vVB+CXHRdYtu+SeQqu2hHKR4I2GzZ/Yp4yhVmUKAG5ePEikyZNomLFinTq1AmVSsXy5cuJj483dnzWz8FJaUIEZSC6EEYg0/AKeyf1kBDm1TEikFfaVwXg3eWHORKXYvpCVSpof7MVZP+vkHTW9GUKsyhyApKXl8eSJUvo3Lkz1atX5+DBg3zyySeo1WrGjx9Ply5dcHR0NGWs1ivk5jgQSUCEkagKxoCYqSuuEKWB1ENCWNZr7avSrnpZcrQ6XvhtHzcyck1faHgLqNIRdFrYONX05QmzKHICEhoaypdffkmvXr2Ii4vj999/p3fv3qaMzXYUjAORgejCSGQZEGGPpB4SwrLUahUz+jUgvIwbcclZvLLwAPnmmA2l/fvK/4eXQMJR05cnTK7ICYhWq0WlUqFSqdBoNKaMyfYYEpCDkK+1aCjCNqhvZiA6GQQi7IjUQ0JYnrebI9893QhXRw1bYq7x6fqTpi80uB7UegrQwz+TTV+eMLkiJyCXL19mxIgRLFiwgKCgIHr16sXy5csNXUHEfZSpAs5eoM1S1gQR4iEVvO8k/xD2ROohIUqHGkFefNy7LgDf/nuGvw5fMX2h7caDSgMn/4SLu01fnjCpIicgLi4uDBo0iH/++YfDhw9Ts2ZNXnnlFbRaLR999BFRUVEy//q9qNUQUl95HLfPoqEI26A2fN+SDETYD6mHhCg9utcL4flWFQF4c0k0MQlppi3QvyrUH6g83jBJ7sBZuRLNglW5cmUmT57MhQsXWLNmDTk5OTz++OMEBgYaOz7bYRiILgmIeHgqZCFCYd+kHhLC8t7pWoPmlfzIyM3nhd/2kZqdZ9oC276tLG1wfguc3WjasoRJPdQ6IGq1mq5du7J06VIuXbrEu+++a6y4bI8MRBdGJOuACKGQekgIy3HQqPlqYEOCvV04ey2DNxZHozPlnTGfMGjyvPJYWkGsmtFWQi9btixjxowx1uFsT+jNFpCEY5CbadlYhNVTySB0Ie4g9ZAQ5ufv4cyswY1w0qiJOpbAN/+eNm2BrcaAoztcPgDH/zBtWcJkjJaAiAfwCgWPQNDnQ/xhS0cjrNythQiFEEIIy6oX5sOHPWoB8FnUKTaevGq6wjzKQuRI5fE/k0En476skSQg5qJS3RoHIt2wxEO61QVLUhAhhBCW169JeQY2K49eD68uOMCFJBP29mgxClx94dpJOLTIdOUIk5EExJxCZSC6MI6CQeiSfwghhCgtJjwRQYPyPqRmaxk1/yA5pmqccPGGVq8rjzdOBW2OiQoSplLsBGTSpElkZt6Z1WZlZTFp0iSjBGWzDAmItICIh2NoAZFOWMIOST0kROnk7KDh20GN8Pdw5kRCOgvPqE3XUt9kOHgEQUos7P/VNGUIkyl2AjJx4kTS09Pv2J6ZmcnEiRONEpTNKuiClXQGsm5YNhZh1QoWXtPpLByIEBYg9ZAQpVeQtwvfDGqIg1rF/utqft4Ra5qCnNyg7Vjl8aZpkJthmnKESRQ7AdHr9XdddTY6Oho/Pz+jBGWz3PzAV1m0h8sHLBuLsGpqQwuIEPZH6iEhSremFf0Y17U6AB+vO8XOs9dNU1CDp8G3AmRchV2zTFOGMIkiJyC+vr74+fmhUqmoVq0afn5+hn/e3t507NiRvn37mjJW21CwHoiMAxEPoeCrl0zDK+yJ1ENCWI+nm4XR2F9Hvk7PqPn7uZKSZfxCHJyg3Xjl8bYvpHeJFXEo6o4zZsxAr9fz3HPPMXHiRLy9vQ3POTk5UaFCBSIjI00SpE0JbQhHlso4EPFQVCppAhH2R+ohIayHSqWiXyUdGQ7eHI9P48W5+1n8QnOcHTTGLah2b9g6A64ehW0zocME4x5fmESRW0CGDh3KM888w8aNG3nppZcYOnSo4d+AAQNM9qEfFxfH4MGDKVOmDK6urtSpU4e9e/cantfr9XzwwQcEBwfj6upKhw4diImJKXSMpKQkBg0ahJeXFz4+PgwbNuyu/YfN4vYWELl7LUpILYPQhR2yVD0ENlgXCWEGThr4emA9vF0dib6YzP9WHTV+IWo1PPqe8njXLEhLMH4ZwuiKPQakbdu2aDQaTp06xdatW9m8eXOhf8Z048YNWrZsiaOjI3/99RfHjh3js88+w9fX17DPtGnTmDlzJrNmzWLXrl24u7vTuXNnsrOzDfsMGjSIo0ePEhUVxerVq9m8eTMjRowwaqxFFlQXVBpIT4DUy5aJQdiAm4PQJf8Qdsic9RDYaF0khJmE+boxc0ADVCpYsPsiC3abYFB69a5QrgnkZcKWT41/fGF0Re6CVWDnzp0MHDiQCxcu3DG1mkqlIj/feJM+f/zxx4SFhfHTTz8ZtlWsWNHwWK/XM2PGDN577z2efPJJAH799VcCAwNZsWIF/fv35/jx46xdu5Y9e/bQuHFjAL788ku6devGp59+SkhIiNHiLRInNwiIgITDyoKE3qHmLV/YBEMLiCQgwg6Zsx4CG62LhDCjttXK8man6nyy7iQTVh6lRpAnDcr7PviFRaVSQfsP4JcnYO9PykrpvhWMd3xhdMVOQF588UUaN27MmjVrCA4OvutMJMayatUqOnfuTJ8+fdi0aROhoaG8/PLLDB8+HIBz584RHx9Phw4dDK/x9vamWbNm7Nixg/79+7Njxw58fHwMH/gAHTp0QK1Ws2vXLp566qk7ys3JySEn59aiNmlpaQBotVry8vIe+rw0wfVRJxwm/+IedFW6lPg4BbEYIyZLkXMomYIvXXlG+psE+V1YglartXQIVsmc9RBYd11kbe+JopBzsg7/PafhLctzMPYGUcev8uLcfax4qTn+Hs7GK7BcJJqKj6A+9y+6f6aQ3/1r4x0b+/gdmVOxE5CYmBiWLl1KlSpVTBFPIWfPnuXbb79lzJgxvPvuu+zZs4dXXnkFJycnhg4dSnx8PACBgYGFXhcYGGh4Lj4+noCAgELPOzg44OfnZ9jnv6ZOnXrXueQ3bNiAv7//Q59X+HUH6gNJh6LYntXooY8XFRX10MewNDmH4klIUANqjhw5wp/XDhv12PK7MJ9r165ZOgSrZM56CGyjLrKW90RxyDlZh9vPqYMHHHLVkJCaw9Pf/svLNfPRFHswwL35OD5CW/5FdXgxW/Lqk+Zq/F4mtvg7MkXX1QcpdgLSrFkzTp8+bZYPfp1OR+PGjZkyZQoADRo04MiRI8yaNYuhQ4earNxx48YxZswYw89xcXFERETQvn17QkON8MecUB7m/IR/3kW6de0CqpK9+/Ly8oiKiqJjx444Ojo+fFwWIOdQMn+lRnMoKYGIWrXo1qy8UY4pvwvzi4uLs3QIVsmc9RBYd11kbe+JopBzsg73Oqd6kRn0+m4np1PzOaSuxPhuNYxarm7pXtQnV/OIfhv53X422nFt+XfUpk0bs5ddpATk0KFDhsejR4/mjTfeID4+njp16tzxS6hbt67RggsODiYiIqLQtpo1a7Js2TIAgoKCAEhISCA4ONiwT0JCAvXr1zfsc/Xq1ULH0Gq1JCUlGV7/X87Ozjg732oWTE1NBZS7VUb5owuuAw6uqHLScEy5AGWrPdThHB0drf7NIOdQPBq1krSq1Rqjlym/C/NxcCj2PSC7Zal6CGyjLrKW90RxyDlZh/+eU40QHz7rU58X5+7j5x2xNAj348n6RmypaP8+nFyD+uRq1FcP3Zp91Ehs9XdkbkWq/erXr49KpSo02O+5554zPC54ztiD/1q2bMnJkycLbTt16hTh4eGAMggwKCiIDRs2GD7kU1NT2bVrFy+99BIAkZGRJCcns2/fPho1Uv4I//nnH3Q6Hc2aNTNarMWicYDgenBxpzIQ/SETEGF/DMuAyCh0YScsVQ+BDddFQlhIl9pBjGxXma83nuHtZYeoGuBJRIiXcQ4eUAPq9YfoBbDhQxiywjjHFUZVpATk3Llzpo7jrl5//XVatGjBlClT6Nu3L7t372b27NnMnj0bUCqc1157jcmTJ1O1alUqVqzI+++/T0hICD169ACUu1RdunRh+PDhzJo1i7y8PEaNGkX//v0tO+tIaCMlAYnbp7xRhCiGgkG3Mg2vsBeWqofAxusiISxkTMfqHI5LZfOpRF6Yu5c/RrXCx83JOAd/5B04vBTOboRzm6Gi+bsYifsrUgJScJfH3Jo0acLy5csZN24ckyZNomLFisyYMYNBgwYZ9hk7diwZGRmMGDGC5ORkWrVqxdq1a3FxcTHsM2/ePEaNGkX79u1Rq9X06tWLmTNnWuKUbgltqPwvK6KLElDLQujCzliqHgIbr4uEsBCNWsXM/vV54qutXEzK4tWFB/nxmSZo1EaY1c63AjR6BvZ8DxsmwbCoW10HRKlQ7A7Iq1atuut2lUqFi4sLVapUKTQ/+sN6/PHHefzxx+/5vEqlYtKkSUyaNOme+/j5+TF//nyjxWQUBQlI/CHQ5oKDkbJ+YRcKPkalC5awR+auh8CG6yIhLMjHzYnvBjem57fb2HQqkc+jTvFm5+rGOXibt+DAXLi0B07+BTW6Gee4wiiKnYD06NHjjn64ULj/batWrVixYkWhVWLFf/hWBFdfyLoBCUduJSRCFEFBFyzJP4Q9knpICNsREeLFx73q8urCg3y18TR1ynnTudbdJ2YoFs9AaP4ibP0c/pkM1bqA2ohz/oqHUuzfRFRUFE2aNCEqKoqUlBRSUlKIioqiWbNmrF69ms2bN3P9+nXefPNNU8RrO1QqCLmZdFyWbliieApaknWSgQg7JPWQELblyfqhPNuyAgBvLI7m9NV04xy45avg7A1Xj8KRpcY5pjCKYreAvPrqq8yePZsWLVoYtrVv3x4XFxdGjBjB0aNHmTFjRqHZScQ9hDaEMxsg7gA0sXQwwpqobnbCkvRD2COph4SwPe92q8mxy6nsOpfEC7/tZeWoVng4P+RU5a6+0PIV+OdD2PgR1HoKNLY1ha61KnYLyJkzZ/DyunOqNC8vL86ePQtA1apVZYXfoiiYmzpun2XjEFZHLS0gwo5JPSSE7XHUqPlqYEOCvFw4k5jBm4ujjTPOsflL4F4WbpyH/b8+/PGEURQ7AWnUqBFvvfUWiYmJhm2JiYmMHTuWJk2U2/gxMTGEhYUZL0pbVdAFK/EE5KRZNhZhVW6tA2LZOISwBKmHhLBNZT2d+XZwQ5w0atYejeebf888/EGd3JUB6QCbpkFe1sMfUzy0YicgP/zwA+fOnaNcuXJUqVKFKlWqUK5cOc6fP8+cOXMASE9P57333jN6sDbHMxC8ygF6uBJt6WiEFTF0wZIMRNghqYeEsF0Nyvsy8claAHy6/iSbTiU+4BVF0OgZ8C4P6fGwe/bDH088tGJ3rqtevTrHjh1j/fr1nDp1yrCtY8eOqG/OLlCw8JIogtAGkHpJ6YZVoZWloxFWomAiD1mIUNgjqYeEsG0DmpYn+mIyC/dc5JUFB1g9uhVhfm4lP6CDs7I44cqXlVmxGj0DLt5Gi1cUX4lG96jVarp06UKXLl2MHY/9CW0Ex/+QBQlFMck0vMK+ST0khG2b+GQtjsenEX0xmRd+28eyl1rg6qQp+QHr9YdtX8C1k7D9K3h0vPGCFcVWpARk5syZjBgxAhcXlweu2vrKK68YJTC7IVPxihK4tRK6ZCDCPkg9JIR9cXbQ8O2ghjzx5VaOXUnl3eWHmd63nmEdrGJTa5SkY/EQ2PE1NB0BHmWNG7QosiIlIJ9//jmDBg3CxcWFzz///J77qVQq+eAvrpD6gAqSYyE9Ud4MokjUNz+ApQuWsBdSDwlhf0J8XPl6UEMGzdnF8gNx1CvnzTMtK5b8gDW7Q3B9uHIQtk6HLlONFaoopiIlIOfOnbvrY2EELt7gXxWunVJaQap1tnREwgoYbgBJHyxhJ6QeEsI+Na9Uhne71eTD1ceYvOY4ESHeNK3oV7KDqVTQ/gOY2xP2zIHmL4PP/7d33+FRlWkfx7+TRqgJhBI6SO+9CahURezYULCuAqK71n11regqllUsoLI2LGBHVwEVVKqAdGnSaygBpCaQPu8fdyaTkB4mU5jf57pyZTLnzMz9zMmcZ+6nHa2W5wslviZ9SkoKGzduJC0tzZPxBKes64FoGJYUjXpARFQPiQSL23o24PL2tUjLcHLX5BXsP5ZU8idr1Bfq94L0FJj7gueClGIpdgJy8uRJbr/9dsqVK0erVq3YtWsXAPfccw/PP/+8xwMMCrogoZSQ5oBIMFI9JBJcHA4HY69qQ/PYihxKSGbU5OUkp6WX9MmsFwRg1RQ4tNlzgUqRFTsBeeSRR/jjjz+YM2cOkZGRWff379+fzz//3KPBBY3sE9E1pEaKQD0gEsxUD4kEn3IRYUwc3olKkWGs3HWUp79fX/Inq9cNml4EznSY/azngpQiK3YC8u233zJ+/Hh69eqVYyWCVq1asXWrB65YGYxiW0NIOJz8C47u9HU0EgB0JXQJZqqHRIJT/ZjyvDa0Aw4HTP59F18s3V3yJ+v7OOCAdd/oYtA+UOwE5ODBg1SvXj3X/YmJiSVfGi3YhZWxJAQ0DEuKRMvwSjBTPSQSvPo0q879/ZsC8Nj/1vLH7qMle6LY1tB6iN3+5RnPBCdFVuwEpHPnzkyfPj3rb9fJ/t1336VHjx6eiyzYaCK6FIPrc6ceEAlGqodEgtvoPo0Z0LIGKWkZjPpkOYcSkkv2RH3+BY5Q2DILdi70bJBSoGJfCf25555j0KBBrF+/nrS0NF577TXWr1/PwoULmTt3bmnEGBxc80CUgEgRuFfhVQYiwUf1kEhwCwlx8PK17bhi/G9sO5TIPVNW8vHtXQkLLWa7ekwj6Dgclk+CX56GW3/Its69lKZi94D06tWLVatWkZaWRps2bZg5cybVq1dn0aJFdOrUqTRiDA6uHpB9qyBdS0pKwRyahC5BTPWQiFSKDGfi8E6Ujwhl0ba/eOHHDSV7ovP/D0LLwK5FsOVnzwYp+Sp2DwhAo0aNeOeddzwdS3Cr2gQiKkLKCTi0EWq08nVE4sc0CV2CneohEWlSoyL/uaYdoyav4J3522lbJ5pL29Uq3pNUqgVd74BF4+GXMdCoH4SU+DJ5UkRFfoePHz9epB8poZBQqNXebmsiuhTCNQk9QxmIBBHVQyJyukFtajLy/EYA/POr1WzYX4JzQK/7rRF4/xpY/42HI5S8FLkHJDo6usDVRZxOJw6Hg/T0El4YRqB2R9gx3+aBdLzJ19GIH3OgMaoSfFQPiUheHrqwGev2HmP+5kOM+Hg5393di6iy4UV/gvIxcO7dMGcszH4OWlwOoSUaJCRFVOR3d/bs2Vm3nU4nF198Me+++y61a9culcCCUtZEdPWASMHcQ7DUAyLBQ/WQiOQlNMTB69d34JI3FrDzr5Pc+9lK3ru5CyEhxWis6zEalvwX/toCf0xRQ3ApK3ICcv755+f4OzQ0lO7du3POOed4PKig5ZqIfmA9pCZBeGTB+0vQ0iR0CUaqh0QkP5XLRzBxeCeGvLWQ2RsP8tovm7lvQNOiP0GZijYUa+ajMOd5aHOtvoeVIs2y8SdRdaB8NchIs3GIIvnIWoZXFyIUEREBoHXtKJ67sg0Ar/2ymZ/XxxfvCbr8DSrVhuN7YNn7pRChuCgB8ScOR7YLEmoYluQvRBciFBERyWVIpzrc3KM+APd9vorthxKL/uDwSDj/n3Z7/n8g+UQpRChwhglIQZMBpYRc80D26oKEkj9H1ipYvo1DxNdUD4nI6R4d3JIuDSpzIjmNOz9aRmJyMa6v1v5GqNIITv4Fi98qvSCDXJHngFx11VU5/k5KSmLkyJGUL18+x/1Tp071TGTBSj0gUgQhmoQuQUj1kIgURURYCBNu7Mglry9g84EE/vnVasbf0KFoDRah4dDnX/D17bDwDRuWVa5K6QcdZIqcgERFReX4e9iwYR4PRoBaHez3X1vg1FEoG+3LaMRPOTQES4KQ6iERKarqFSN5a1gnrv/vIqav2UfbeVGMyLxeSKFaXQULXoX4NbBgHAx8plRjDUZFTkA++OCD0oxDXMrHQOUGcGQH7F0Jjfr4OiLxY5qELsFE9ZCIFEen+pV54tJWPP7tWl74cQOta0fRs3HVwh8YEgL9Hocp19rSvN3vgrJFeJwUmSah+yNdD0QKEaJleEVERAo1rFs9rulUhwwn3D1lBXFHThbtgU0GQt3ukJYE814s3SCDkBIQf+SaB7J3pW/jEL/lvhChb+MQERHxZw6Hg2euaE2b2lEcOZnKyE+Wk5SaXpQHQr8n7PaKj+DI9tINNMgoAfFHtdUDIgXTJHQREZGiiQwP5e3hnahSPoK1e47z6Ddri1Z/NugJjfpBRhqh814o/UCDiBIQf1SzHThC4MQ+OL7X19GIH3JkXopQ6YeIiEjhakeXZfzQDoQ44OsVcXyyeGfRHtjvcQAca7+m4qndpRhhcFEC4o8iykP1lnZbvSCSB/d1QJSCiIiIFMW5javy8KDmAIz5fj3Ldx4u/EG1OkDLy3HgpMW+r0o5wuChBMRfuZbj3aMLEkpuDk1CFxERKbY7ep/D4LY1SctwMvKTFRw4nlT4g/o8htMRQs1jK3HsWVb6QQYBJSD+KmsiuhIQyc11KSXNARERESk6h8PBi0Pa0rRGBQ6eSOauyStIScso+EHVmuJscz0AIbP/rRVgPEAJiL/Kmoi+EjIK+WBI0MmahO7bMERERAJO+TJhTBzemYqRYSzbeYR/T19f6GPSz3uIdEcYITsXwLY5pR/kWU4JiL+q3hLCIiH5GBze5utoxM+4r4SuFERERKS4GlYtz6vXtQfgo0U7+Wp5XMEPiKrLjqp97fYvT6sX5AwpAfFXoeG2GhZoIrrkEqLrgIiIiJyRfi1qcG//JgD865s1rN1zrMD9N9e4FGd4eRsev2GaN0I8aykB8WeuK6JrHoicLmsSujIQERGRkvp73yb0a16dlLQMRny8nMOJKfnumxweRUbXEfbHr/+GjCJc0FDypATEn7kmosdpxQXJyT0J3adhiIiIBLSQEAevXNeeBjHl2HP0FPd8uoK09Pzn3mZ0Hw2R0XBwA6z+3HuBnmWUgPgz10T0/WsgLf+MXIJPiJbhFRER8YiosuFMHN6ZchGh/LblL16auTH/nSOjoNe9dnvOWH0/KyElIP6syjn2j56eDAcKX6FBgofrQoRaB0tEROTMNYutyItXtwVg4txtTF+9L/+du46ACjXg6C5Y8aGXIjy7KAHxZw6HexiWJqJLNpqELiIi4lmXtK3FneedA8BDX/3BpvgTee8YUQ7Oe8huz30RUhK9FOHZQwmIv9NEdMmDQ5PQRUREPO6fFzbj3EYxnExJZ8THyzmelJr3jh1vhuj6kHgAfp/o3SDPAkpA/F1WD4gSEHHLmoTu0yhERETOLmGhIbwxtAO1o8uy/VAi93++ioy8JlyGRUCfR+32b6/CqSNejTPQ+XUC8tRTT+FwOHL8NG/ePGt7UlISo0ePJiYmhgoVKjBkyBDi4+NzPMeuXbsYPHgw5cqVo3r16jz00EOkpaV5uygl55qIfnADJCf4NhbxGyFZFyL0cSAiQUB1kUhwialQhreHdSIiLISf/zzA+Nlb8t6xzdVQrQUkHYOFb3g3yADn1wkIQKtWrdi3b1/Wz4IFC7K23XfffXz//fd8+eWXzJ07l71793LVVVdlbU9PT2fw4MGkpKSwcOFCPvzwQyZNmsQTTzzhi6KUTMVYqFQbnBmwb5WvoxE/4ZqEriFYIt4R9HWRSJBpUyeKZ69oDcC4nzcxe+PB3DuFhEK/x+324rfgRHzufSRPfp+AhIWFERsbm/VTtWpVAI4dO8Z7773HK6+8Qt++fenUqRMffPABCxcuZPHixQDMnDmT9evX88knn9C+fXsGDRrEM888w4QJE0hJCaBl01y9IBqGJZnUAyLiXaqLRILPNZ3rMqx7PZxOeOCrNRw8lcdOzS6G2p0h9STMf9nrMQaqMF8HUJjNmzdTq1YtIiMj6dGjB2PHjqVevXosX76c1NRU+vfvn7Vv8+bNqVevHosWLaJ79+4sWrSINm3aUKNGjax9LrzwQkaNGsW6devo0KFDnq+ZnJxMcnJy1t8nTtgqCGlpaaSm5jMZqRSFxLYn9M/vyYhbRnq213fF4ouYPEVlKJn0dLv6akZGhsdeV8fC+zQEJ3AEal0UaJ+JolCZAsPZUqZHLmzKuj3HWLn7GO9tDOWKxCSiyufcx3HBvwibfBXOZe+T1mUERNfzSazF5ctj5NcJSLdu3Zg0aRLNmjVj3759jBkzht69e7N27Vr2799PREQE0dHROR5To0YN9u/fD8D+/ftznPBd213b8jN27FjGjBmT6/5ffvklq9XLm6qeSKEncGrrb/w8Y0au7bNmzfJ6TJ6mMhTP6kMOIJSDhw4xI4//iTOhY+E9hw4d8nUIUgRnQ10UKJ+J4lCZAsPZUKYrq8PW/aHsO+XgjnfmcHOTjGzX4zI9Krai+ol17Pv0H6ysf4dvAi2hefPmef01/ToBGTRoUNbttm3b0q1bN+rXr88XX3xB2bJlS+11H3nkEe6///6sv/fs2UPLli3p168ftWvXLrXXzVdSL3j5BcqnHOLi87tCeat4UlNTmTVrFgMGDCA8PNz7cXmAylAyzjX7+XDzaqrExHDxxV088pw6Ft63Z88eX4cgRRDIdVGgfSaKQmUKDGdbmRq2OcjNH65g5V8hXNSlObf1bJBju2NPLEwaSN0jv1Hz6uehWjPfBFoMrmN03nnnef21/ToBOV10dDRNmzZly5YtDBgwgJSUFI4ePZqj5Sk+Pp7Y2FgAYmNjWbJkSY7ncK1M4tonL2XKlKFMmTJZfx8/fhywMcA++RCFx0BME/hrM+EH1kDTgTk3h4cH/IdbZSiesLDQzFsOj7+mjoX3hIUF1ClYMgViXRQon4niUJkCw9lSpu6NqnFl/Qy+3hHKizM306ZuZc5tlK0nskE3aH4Jjg3TCJ//Alz3se+CLSZfHB+/n4SeXUJCAlu3bqVmzZp06tSJ8PBwfvnll6ztGzduZNeuXfTo0QOAHj16sGbNGg4cOJC1z6xZs6hUqRItW7b0evxnxHU9EF2QUMg2Cd3HcYgEo6Cui0SCWO9YJ1e2r0l6hpO7p6xk79HTZqX3fQxwwJ/faeGgQvh1AvLggw8yd+5cduzYwcKFC7nyyisJDQ1l6NChREVFcfvtt3P//fcze/Zsli9fzq233kqPHj3o3r07AAMHDqRly5YMHz6cP/74g59++onHHnuM0aNH52hVCghZK2Et920c4heyLkSoZbBESp3qIhEBWwL/6cta0qpWJQ4npjDyk+Ukpaa7d6jeAtpdb7d/edo3QQYIv05A4uLiGDp0KM2aNePaa68lJiaGxYsXU61aNQDGjRvHJZdcwpAhQzjvvPOIjY1l6tSpWY8PDQ1l2rRphIaG0qNHD4YNG8ZNN93E008H4D9F1hXRl2vtVcGR2QOS18VZRcSzVBeJiEtkeChvD+tEdLlwVscd44n/rc3ZGHjBwxASDttmw/b5vgvUz/n1AOTPPvuswO2RkZFMmDCBCRMm5LtP/fr1Pb5KkE/UaA0hYXDyLzi6CyrX93VE4kOu1TfUAyJS+lQXiUh2dauU442hHbj5/SV8sSyOdnWjubFb5veyyg2g0y2w9B3rBbl9JrmWzBL/7gGRbMIjLQkBzQMR9xAsn0YhIiISnHo3qcZDFzYH4Knv1rF85xH3xvMehLCyELcENv3oowj9mxKQQJJ9GJYENV0JXURExLdGnn8Og1rHkpru5K7JyzlwIsk2VIyF7iPt9i/PQEaG74L0U0pAAknWRPSVvo1DfE5DsERERHzL4XDw0jXtaFy9AvHHk7l78kpS0zOTjXP/DmWi4MA6WPu1bwP1Q0pAAknWUrwrISO94H3lrKZleEVERHyvQpkwJg7vRMUyYSzZcZhnp/9pG8pVgZ732O3Zz0J6qu+C9ENKQAJJ1aYQXh5SE+HgRl9HI76U2QOSoR4QERERn2pUrQIvX9sOgEkLdzB1RZxt6DYKyleDI9thxUc+jND/KAEJJCGhUKuD3dY8kKDmmoSuYaUiIiK+N7BVLPf0bQzAI1PXsHbPMShTAXo/aDvMewlSTxXwDMFFCUigqZ2ZgGglrKCmIVgiIiL+5d7+TTm/aTWS0zIY+clyjiSmQOdbIaounNgHS97xdYh+QwlIoMlaCUsJSDDTJHQRERH/Ehri4PXrO1CvSjnijpzi75+tJD0kwi5OCLDgFUg65tsg/YQSkEDjSkDi10Jakm9jEZ/RMrwiIiL+J6pcOBOHdyIyPIT5mw/x8syN0PZ6m8d76ggsyv+CpcFECUigiaoL5apCRhqO+LW+jkZ8xH0hQmUgIiIi/qRFzUq8MKQtAG/O2cqPfx6EPo/axkUTIPGQD6PzD0pAAo3DkdUL4tir64EEK0dmD0iG8g8RERG/c3n72tzeqyEAD3zxB1ti+kLNdpCSAPNf8XF0vqcEJBBlJSCaBxKsNAdERETEvz0yqDndz6lCYko6d05ewYnej9uGpe/CsTjfBudjSkACUeYV0ZWABK+sIVjKP0RERPxSWGgI42/oSM2oSLYdTOSBZZXJqNcT0pNh7gu+Ds+nlIAEolqZCcjhrYSlJfo4GPGFkBAtwysiIuLvqlYow9vDOhERGsLM9fG8Gf2QbVg5GQ5t8W1wPqQEJBCVj4Ho+gBEn9rh21jEJ0J0JXQREZGA0K5uNM9c0QqAl5eeZE7N28CZDrOf9XFkvqMEJFBlzgOpnLjNx4GIb2gZXhERkUBxXZd6DO1aD6cT/rF3ILsyqsO6qbBvta9D8wklIIEqcx5I9EklIMFIPSAiIiKB5anLWtK+bjTHkjO4M/QpTjkj4Nd/+zosn1ACEqgy54FUVgISlBy6EKGIiEhAKRMWylvDOlK1QgQbTkXzcNqdODf9BLsW+zo0r1MCEqhqtsPpCKFs6hE4sc/X0YiXuXpAREREJHDUjCrLhBs6Ehri4H/p5/J++kXw85iga1FUAhKoylSAmCYAOA786eNgxNscuC5EGFwnLBERkUDX7ZwYHr24BQBj025g+Y6DsGqKj6PyLiUgAcxZqZbdSDzo20DE65yZC/CGONQVIiIiEmhu7dmAS9rWJI0wRqf8nb+mPwNHd/k6LK9RAhLIylUFwHFSCUiwyVDHh4iISMByOBw8P6Qt51Qtx35iuO/kTWR8cxdkZPg6NK9QAhLAnOUtASHxkG8DEa9zZg69CtEnWEREJCBVKBPGm8M6ERnmYF5GO8ZvrQpLJvo6LK/Q15dAVq4aAI6TSkCCjasHxDUXRERERAJP89hKPHNFGwDGpQ3htx8/h4ObfBxV6VMCEsDUAxLMLAPRFBAREZHAdk3nulzbuQ5OQvhH0p3Ef3kfpKf6OqxSpQQkkJVzJSCaAxJsXItfaRK6iIhI4Hv68tY0rx7JIaK4Z3cf0ua+4uuQSpUSkECWNQldPSDBxj0ES0RERAJdZHgobw7vRoUwJ0ucLXj51+2we6mvwyo1SkACmDOykt1IPu7bQMTrXJPQ1QEiIiJydjinWgWev6YjAG+lXcrsKS9C0jEfR1U6lIAEsjKuBCQhaJZtE5OhIVgiIiJnnUva1WJ4l5oA3HdkCHunPu7jiEqHEpBAltkD4sAJKSd8HIx4U9YyvEpAREREziqPXd6O1tXCOEpF7l7TkNSVn/k6JI9TAhLIwiJJd4TZ7SQNwwomWXNAlH+IiIicVcqEhTLhll5UDEtnhbMpL32zEP7a6uuwPEoJSIBLCy1rN87SMYKStwz1gIiIiJy16seU58VrOwHw35QL+fmj5yAtxcdReY4SkACXGlrObmgielDJ0JXQRUREzmqD2tbmls624ukD8QOJ++E/Po7Ic/T1JcBlJSAaghVUnLoSuoiIyFnvX1d0oV1VJ8eowN0Ly5OyebavQ/IIJSABLi0kcwiWekCCSnqGqwdECYiIiMjZKiIshPG39aVSaCqrnI15YcoPkPiXr8M6Y0pAApy7B0RzQIKJew6IjwMRERGRUlW3Sjlevq4DAO+dOp+fPn7ePRQiQCkBCXCpoeoBCUa6DoiIiEjwGNC2Pnd0rAjAgzu6sHvuJN8GdIaUgAS4NM0BCUpO9YCIiIgElX8O6UXHykmcoDyjZyaSvGedr0MqMSUgAU49IMHJfR0QZSAiIiLBIDw0hPF3XER0aBKrMxoy9oMvIPWUr8MqESUgAU6rYAUnzQEREREJPrWqlGfcNW0AmJTQlRlT3vBxRCWjBCTApWkSelByJSBahldERCS49GnflJFtQwH4vz8bsnPpDz6OqPiUgAQ4DcEKTq7FL0LVBSIiIhJ0HrxuIF2ijnGCctz17U6Sjuz1dUjFogQkwGkIVnDK6gFR/iEiIhJ0wkJDeGPEYKqEnGRdel3+/d9PICPD12EVmRKQAJemHpCgpGV4RUREgltslSjGXdkYBxl8cqQV33/1vq9DKjIlIAEuNUQ9IMFIk9BFRETk/C4dGN0iCYCHV0Szbe0SH0dUNEpAAlzWEKyUE5CR7ttgxGvc1wFRBiIiIhLM7r3xKrpVOEAiZbnrs9UkJRz1dUiFUgIS4LKGYAEkn/BdIOJVug6IiIiIAISFhfLGnRdT1XGCDWk1eWrip74OqVBhvg4gEGRkTurZt2+fjyPJKS0tjQOHj7E7MQxHegps2whRtX0dVrGkpaVx6NAh9uzZQ1hYYP47+qIMfx08SEbySZISjhEXF+eR59Sx8D7XOSUjgCYOiu+UpC4KtM9EUahMgeFsK1MglOfRbhHcOzeBKXFVaTLpfS7sP7DA/V1l8kVd5HC6xnJIvpYuXUrXrl19HYaInKWWLFlCly5dfB2G+DnVRSJSmrxZFykBKYK0tDRWrlxJjRo1CAnxo1FrySdgQlcYvQTKVPR1NCWjMviPs6EcAVaGjIwM4uPj6dChg9+2qIn/KFFdFGCfiSJRmQLD2Vams608kFWmjFGLiT960qt1kWq8IggLC/PP1smk41ApBGrXhshKvo6mZFQG/3E2lCMAy1CvXj1fhyABokR1UQB+JgqlMgWGs61MZ1t5wF2munWp18S7ZfKj5nwRERERETnbKQERERERERGvUQISyMLKwPkP2+9ApTL4j7OhHGdDGUQ86Wz8TKhMgeFsK9PZVh7waZk0CV1ERERERLxGPSAiIiIiIuI1SkBERERERMRrlICIiIiIiIjX6Dog/mLHb7Dwddi7ChL2w3WTocUl+e+//jtY9h7sXwNpKVC9OVzwMDTu795n9liY+3zOx8U0gXuWlUoRil2G7fPhwzy2P7AJKtZw/73kHfjtdUiIh9jWMOglqNPJ4+FnKW45vhkFf0zJfX+15jD6d7vtzWMx/2X483s4tBnCIqFuNxgwBqo2Kfhx676BX5+Fo7sgphH0HwNNB7q3O50w+zlY8SEkHbPnvWSc7VsaSlKO5ZPgj8/gwHr7u2Z76Pdkzv+XvI5Xo34wfKqnSyBSckvfhaXv2+cR7Bx//v9BkwH29/f/gG1z4MR+iChvn4/+Y6BaU9u+cjL87668n/vBLVChWt7bTh6GH/4JG38ERwi0vBQuegHKVAjcMo1rA8d25byv35PQ+/4zLtIZlwlgz3L4+SnY+wc4gNqdYMDTENsm/9dNTYKZj8Lar+07QOO+MPgVqFA9cMv0wWDYuSDnfZ1uhUtf9Y8ybZtjdeSB9RBeDtoPhb5PQGgBX6X9/TiVpEweOk6ahO4vNs+CXYuhVnv4fFjhX3p/eBgqxkLD3hAZDSs/gYVvwB2/QM12ts/ssbD+f3DT/9yPCwmD8jH+UQZXAnL38pxXFS1fDVxX+V37NXwz0r7o1u4Mi9+E9d/aY/KrbLxdjqRjdpJxyUiDt3tC1xHQ5xG7z5vH4uOroPUQqN3RYvnlaTjwpyVDEeXzfsyu3+GDQdD/SWh6Eaz5Eha8CiPmQY2Wts+CcTB/HFz5FkTXh9nPQvw6uypseKR/lOPrv9lJtm43S1p+exX+nAajF0OlWrbPN6Mg8QBc/qb7cWERULay58sgUlIbfwBHqCX4Tqclzb+9DiPnQ/UWsOwDqNoUourAqSMw53lrkLp3NYSEQuopu8hYdt+OgrRkuHV6/q/7yRA4EW9fJtJT7Qt/rY5w9XuBW6ZxbaDjcOh4s/u+MhXyP494s0zJCfBqa2h2MfS6z851s5+zOuj+9RAanvfrTrsPNs2EK960i+LNeMgSxttnBm6ZPhhsr9nnUfd94WU9c9G/My3T/jXwTl/o/SC0uRpO7LNj0GQgXPhs/q/rz8eppGXy1HFyiv95spLTuf774j9ufFenc/bz7r9/fc7pfLOn5+IqjqKUYds82+/kkfz3+W8fp3PaA+6/09Odzv80czrnveyRMAtVkmOx/nun88kop/PITvd9vjwWCQetHNsX5L/PFzc7nZ9ck/O+//Z1Or/7h93OyHA6X2ridC54zb391FGn8+lqTufqLz0dcd6KUo7Tpac5nc/WdjpXTnHfN3Wk0zllqOfjEyltY+s5ncs/zHvbvjX2+fhra97bEw46nWNinM5Vn+b//Ac22HPELXfft2mWnc+O7S1x2AUq7TI5nU7nK62dzoUTzizO4ihOmeKW299Hd7v32b/W7ju0Je/nOHXUyr32G/d9BzbaY3Yt8UgRcintMjmdTuf7FzudM/7PczEXpjhlmvWU0znx/Jz7bJjhdD5T3elMOp73c/j7cSpJmZxOjx0nzQE5W2RkWKvD6a24h7fCf5rBq22tdfjobt/EV5C3e8N/msJHl1sLiUtaig2DOucC930hIfZ33FIvB1kMKz+2GKPr5bzfV8ci6Zj9LqiFf/fSnO8zQON+7vf5yA4bApd9n8goqNPZe8eiKOU4XepJyEjN/ZgdC+DFRvBGJ2vxOXnYc3GKeFpGOqz5yv6f63TNvT0lEVZNtp7JSnXyfo4/PrUhFi0vz/91di+xz3Xtju77zrnAWmz3eHi4qLfK5LJgHLzQAN7uBb+9BulpZxR+nkpSpqpNoGwVWPGx1Xmpp+x21Wa2X172rrLzWvbzcbWmEFUX4pYEZplc1nwBLzSECd1tCFfKSc+WB0pWpvQU61XPLiwS0pLseOTF349TScrk4oHjpDkgZ4uFr0NKArS60n1fnc7W7RfTxOYyzHnBhtnctSjnkCdfqRhrQ6tqdbCT1IqPYNJg+NsvNvzp5F/gTM89VrJ8NTi0ySchF+r4PhvCNeTdnPf76lhkZMCPj0Dd7u6hVHlJiM/7fU6Iz9x+wH4XtE9pKmo5TjfrSfs/y14BNO4HLS6FyvXh8HYb2vXJEPjbz9YtLeIv4tfBuwPsC0FEBRsOWr25e/uSd+x/PDXRzi03fWvDCfOy4mMbZhFeNv/XS4i3z3R2oWGWwHvqc+7tMgF0G2FDk8tWht2/wy9jbJjZRc/5vkxlKsIt0+GzG2Dei3ZflUY2Jy2/cfgJByA0AspG57zfk+djb5cJ7FhG14WKNe31Zz1pcwCvn+z7MjXqa0PA13xl37MS4mFuZtnye8/9/TiVpEzgseOkBORssPpLmPsCXD8l57wI10QkAFrbHIpX29hk4443eT3MXKo2yTmhuF43OLLdPhBX/dd3cZ2JP6ZYC2Lz0+aM+OpYzHjA5k3c9mPpvYY3lKQc81+xOUS3TM85R6XN1e7bNVrZz+vtYcf83L1AIr4U08TGcycftzlk346EW2a4v2C0vda+RJzYb3MAv7wFbpuZe07W7iVwaCNcNdHrRcjFF2U692737djW9qVw2r02580TV4A+kzKlnoLv7oZ63W2eTUaGNShOvhbunF14clVafFGmzre6b9doBRVqwEeXweFtUOUc35apcT8Y8Iz1mE+90/5vznsIdi0Eh+PMYwukMnnoOGkIVqBb8xV8dw9cMwka9Sl437LRNnHo8DZvRFYytTu64ysXYxOsXK3vLokH7R/e3zidthhAu+vzb7Fz8caxmP4gbPoJbvkeomoXvG+FGgW/z66eD18ci+KUw+W3120S/fBv7AtHQao0tP81f/5cSHAKi7DzRK0O0P8pqNEafn/LvT0yyrY36AnXfmStkBum5X6eFR/a6kO1OhT8ehVq2Gc6u/Q0m8Dqqc+5t8uUlzqdbWK0a/WgM3UmZVrzpcVx+Zu2UlTdLjDkPTi6EzbkM7G+QnUbPnPqaM77PXk+9naZ8lKns/321Ln5TP/3zr0bHt4F962Df26D5oPt/soN8n49fz9OJSlTXkp4nJSABLI1X8H/RlsLQ9MLC98/OcGGnFSILf3YSmr/GvcHMyzChmJtn+venpEB2+ZCnS4+Ca9AOxbYB7DD8ML3Lc1j4XTal/YN0+Dm74t2IqnbJef7DLB1tvt9rtzAjkv2fZKOQ9yy0jsWJSkHWOIx7yUY9nXOsez5ObbH5oD48+dCBMCZYcNV895on5m05Jx3JyfAum+hQxF6Wut2tblWe1e679s+1163dueSRl2w0i5TXvavsXkt5auW7PGFKU6ZUk9ZLNlbnB0hgMP2y0ut9hASnvN8fGgzHNud9/h/TyjtMuVl/xr7XVrn5pL87zkcUKmm9eKs+crmU9Rsn/dT+PtxcilOmfJSwuOkIVj+IjkhZ/Z4dCfsW21jVqPr2iSf4/vc3c2rv7Sutouet4rhROZ4vfBIy3gBfnoUmg2yCU8n9sOc52yMe/YhKL4sw6I3bRx+teb2gVjxEWyfZ63WLj1G27KptTpYS8riN20sY4dhpVOGkpTDZeXHdizymqPgzWMx/QE7iQydYmNCXf8bkZXcXd9TR9gJp/9T9ne3UTDpYuuibXKhDV3auxIufc22OxzQfZR9sa/SyI7br8/a/IrTh5v5shwLxtlyj0PetUUAXI+JKG/LbiYn2PVYWlxurVNHtsOsJ6zbuHG/0imHSEn8/BQ0HmBLaKYkWKvyjgU2jv7wdlg31YZWlKsKx/fa/354pC2hmd26qdba3/ba3K8Rtxy+GQE3f2fLVFdrZteS+u7vcMmrNoF2xkO2HHalmoFZpt1LrKGkYW87j8Qttflkba/zzNLbZ1qmc/rAzMftfNdthH2BXDDOlmlv2Nv2Ob4XPrwMrpxo1zSKjLJlhX961MpQpiLM+Kd9qa3rgQYhX5Tp8DY73zcZYBPY49fBT49A/Z6F92J7o0xgixc07m/J1J/f2z7XTHLPHQy041SSMnnwOCkB8Rd7V+a8KN9P/7Lf7W6w6y6ciIdjce7tyyfZCXjGg/bj4tof7B/nq9vh1GH7B6zX3SballarT3HLkJ5iH8wT++wLZY3Wdp2Mhue592k9BBL/si+VCfHW5T5sqmcu4uOpcoC1Gq7/DgaddrFBF28ei2WZ6/VPGpzz/svfhA432u1jcZktUpnqdbMv7b/+2yZlV2lkc4qyJ1M977WVLr7/h5W3Xnc7FqVxDZCSlmPp+/Z/9cVpLaPnP2zXZAkJtRPmqk+tDBVr2tDFvo95Ziy4iKckHrRrICXshzKVbKz18MwvFMf3wc5FsPgtG95RoTrUPxdun5X7+kgrPrZFF06fCAu2Ys5fm+16Hy5XvWNJx0eX2WerxWUw6IXALVNohDWozHke0pNtFaAed0GPu3M/1hdlqtYUbvjMFiZ5d4A19tRsaz24FTNblNNTrUyp2VYaunCsHZ/Ph9s5r1HmBe4CtUyhEXZRvMVvWj0TVdv+9857yD/KBLbAzLyX7f+oRmsY+mnO+Z2BdpxKUiYPHiddiFBERERERLxGc0BERERERMRrlICIiIiIiIjXKAERERERERGvUQIiIiIiIiJeowRERERERES8RgmIiIiIiIh4jRIQERERERHxGiUgIiIiIiLiNUpAxD9tnw9PRdkVPM/EN6Pg0xs8EpJPfDAYfni48P3eHwSrvyz9eLL78lZY+IZ3X1NExJ8d2Wl1177VZ/Y8f06D19rDmMpFqwP8TVHr8G1zYHwXyEj3RlTmwAZ4uQWkJHrvNSUXJSBSupa+B8/VhvQ0933JCfB0jH25zs51wjq8Dep2gwc2QWRU6ce4fBK81ROerQVj68HbvWD+y6X/up6yYQYkHoDWQzzzfKumwHsXFr7feQ/BvP9A0jHPvK6ISFEkHoJp98ErreCZavBSE/j4Sti12NeRec60e6Hl5XDfeuj7aN777F8DU66HFxvBM9VhXBv48hZIOOjNSM/MrCesLgkJ9czzvdoGts4ueJ/qzaFOZ1g0wTOvKSUS5usA5CzX8DxISYC9K6FuF7tv1yKoUAP2LIPUJAiPtPt3zIeoulDlHPu7Yo3Sj2/Fx/DjIzDoBajfE9JTIH4dHFhf+q/tKb+/De1vhBAPtSdsmA7NBhW+X42WUKUhrP4Cut7hmdcWESnM58PtXH3lW1C5gX3h3j4HTh72dWSekZwAiQehcT+oVDPvfRIPwYeXQdOLYPhUa6w7ugs2/gCpiUA1r4ZcIjsXweEd0OIyzzzf/rVw6hg06FX4vh2GwXd/h173Q6i+CvuC3nUpXVWbQIVYSy5cCciO+dDsYtg+D+KWQsPemfcvgAaZt7fPhw8vgf/bCWWjYeVkSxSued9+H9sD9brDFW9CxVh7TEY6zHwcVn5iX8Y7DAecBce38QdodSV0vMl9X/UWOff5ZpS18tdsC0v+C2kp0OZqGPQihEVkvnYG/DbOelMSDkBMY2vVaXWF+3ni18Osx+2kG1EOGvWFC8dC+RjbnpII0+6HP7+HMhXg3HsKf38TD9n7OOiFnPc/FQWXjIONP9r26Lpw+QQoF2Mn3b0roEZruGqiO+EDSwi3zoZ+T9rfS96BxW/a+x1ZCer1gOs+du/fdBCs/VoJiIh4x6mjsGsh3DLd/UUzuh7U6ZRzv6eiYPDLdo7fscAavQY8nfOcfCwOfnrUznkOB9Q/Fy56HirXd++z/ENYNN6GVkXXg24jcp7v4pbDtH/AwU1Wd5z3YBHKcMSGVW36weqTBj2tPolp5K77AD681H7fPM1dT7rsWgzJx+GyN9xfoCs3sEa/7HYssHoxfi2UrQzthkLfx92PGdcGuo+CHne5H/NWL2g+GPo84n4vL30dNs+ELb9YUjTwWWh+sfsxm2bCjw/D8T1Qp4u9TmHWfg2NLnA3QgLMHmuNYN1GwJzn7b1qdz1c/JIN+V00AZwZ0H2k1bHZbZxhSVtouCVjMx6yBs/0VDt2A56BpgNt33P62HPvXADnXFB4rOJxGoIlpa9hb0s6XLbPt4qjQU/3/amnIG5Z7pNsdqkn7QR05US4dYZVHjMfc29f+AasmgyXj4fbfrKTy5/TCo6tQnVLgo7uKni/7XPh4Ear9K5+z5KEuc+7ty94Gf74zL7037UYut8FU++0kz9YpfnhpRDbFu6cA8O+tkTly5vdzzHzcdj5GwydAsO/scfu+6PguHYtgvByULVZ7m1zX7IT98gFULUpfH27dev3vs9iwGkn6NPLWakmVGsKe1bAD/8HfR6Fe5ZZzPV75ty/difYsxzSkguOU0TEEyIq2M+G6YWfd3591lrXR/4Gba+Fr26z8zjYl9KPr7LGntt+gNtnQkR5+GSIJQVgvbuzn7Mv7HcvgX5PwOxnbZgqWE/FlGuhWnMYMRcueCRnnZSfb++yUQFDP4O/zQKnEyZfbTHV7QZ3L7f9rv3YhiLX7Zb7OSrUgIw02PC9PT4vx/fC5Gugdkd7Dwa/Ais/hnkvFR7j6ea+YI11o36DJgNh6h3uHqdjcfD5MOs5H7nAGvR+fqrw59y1CGp1yH3/ke2wZZbVOVe/ZzFPvsbKc+sMGDAGfv23fWfIbuMMS5wApj9o/x+3/gCjFkL/MXZ8XcIiILaNNQiKTygBkdLXoDfs+t3mgSSfgP2rLQGp39P9BX33EkhPdveA5CUj1b7g1+4ItdpbK9S2ue7ti9+C3vdDy8ugWjO45FVrtS/IBQ9b1/WrbeCNTtbbsXaq9WhkFxpuPQjVW0DTC6HPv+D3ibZfWjLMf8W2N+5vw5I63GgV3rIP7PFL3rEelP5P2pf7mu1s/x3z4dAWq8hWfgwDn7HWmBqt4Iq3rIIpyNHdUKFa3sOvOtwIra+Cqo2h572WZLW51mKs1gy6jXS//y7Zh18di7MTdtMLrfWoZjtrdcquYqwNhUiILzhOERFPCA2znu9VU+D5evDeQPh5jA2/OV2rK6DTzXYO7PuYfdn9faJtWzvVWtIvG2/n22rN4PI37bznahib/Rxc+KzVKZUb2O/uo93n9TVfup+jegtodhGc+/eC4/9rq31RvuwN63GJbQND3oXj+2DDNPtiXL6q7Vu2sg1FdvW0Z1e3C/R+AL7+G7zY0BKn316zhi2Xpe9Cpdpw8X+s3mlxiSVJi8bnruMK0/4G6/mPaWSJWEqCNVKBzfWs0tDeq6pNrO5rX4TFX47uhop5DDFzZmTWt82tPmrQG/7abL1TVZvY8KmYJta773J8rw2fbtzf/j4WZ6MkarSy2JpdZI2e2VWMhWO7i/c+iMdoCJaUvga9bEzq3hXWExDT2E6w9XtaS1Bqkn0RrtzAhgrlJ7xczuFCFWNtnCzYEKmE/VC7s3t7aJhVOPm1Drme428/2/Conb9ZIvTtKFjxEQyb6v5iX6O1DZtyqdvVTsDH42zoVOpJ+OiKnM+dnmJJB0D8Guv5ebZW7hiObIe0U7Z/9vjLVbGKsyBppyAsMu9tNVq5b1fIHA9co2W2+6pDWhIkHbdEzemETT/CNZNse6M+NifntXZ2Um/cH5pfkvN9CC9rv1NPFRyniIintLwcmlxoQ7HilsHmWfbl+7I3rOHFpU7XnI+r29UmboOdkw9vs0VSsktLsnNySqL9/t/dNmzVJSPN3bB1aJOdZ7MPIap72mue7uBGCAmzSdAurnP9wU1FK79Lvyegx93Wcx23DJa9bwuo3PqDxXVwo8XjcLgfU697Zt21p+D69nTZ65OI8lCmkrv+PbQpZ90Fhb8PkFl/lcl9f3Q9KFPR/XeF6jZJPXtDW4XqNgTZZeMMK1vZaPu72wiYfj9s/dUa9VpcBrGtc75OeFmru8UnlIBI6YtpZK0w2+dB0lH3MJ5KNSGqNuz+3VqcTh+7erqQ8NPucFDoHI+iqtHSfrreATtvgw8usrGhhcUE7qX8bvwid2uO6+SakmgtMP3H5H58xVirCEuiXEz+yxzmeL8c+d/nzGwJ27PcKldXd3+ZijBinh2brb/a0IM5Y+GO2e6T/KkjmXFULVn8IiIlER5p8+ga9YXz/2mJwpyxOROQgqQkWk/6Ve/k3la+qvu8ftnrNtQ0O0+t2OQJ5arY0KhWV9rcvYm9M4cqv120xzvyqEczUnPvl1f96yxmL8rp8qu/8nqtwl5/4w82t9Sl0802H2TTT1Z/zX/Femi6jXDvc+oIVG54ZmWQEtMQLPGOBr2tl2PHgpwrVNQ/18Z67lkODYrwZT8/kVE22X1PtjGh6Wmwd1Xxn6ta5nyKlGwtI/Frc7byxy21cciV6tj+oWWsyzemUc6fqDq2f812tvZ4dP3c+0SUt5NgSHjO+E8dse76gsS2teFPrkTgTGyYbq2K2SvX0DDrCRn4jI2jPborZ7f3gfWWXLom0ouI+EK15rmv6xC3NPffVZva7Zrt7Pxavlruc3JklLWwV6wJR3bk3l65gT1H1aY27Cc1Kf/XzBVnM2voyT5/4eRhG4rrqntKKizC6hLX+1CtmfXqZx8FsGsxRFS08zZYsnViv3t70nGbcF8cVZtaHZ5dYe8DWP3lmpNzJpITbIRB9gQErP7tcjtcPxnOvdsWFMjuwJ/uUQridUpAxDsa9rYT3/41pyUgvWDZJBt+VNAE9KLoPhIWjLOJ5wc3WfdrYdeomHYfzH3RYju6C3YvhW9GWot+9i7k9FRrYTuwwVb7mD3WektCQqyn4Nx7bHWuVVOsN2PvKhtr7Jqs2OUOSxK+vs1O1Ie3wZafbQhaRrpNhOw4HGY+YfNa4tfbNkchH9Ga7awVadfvZ/TWAZktSNmW3934Iyx+2y6odXQX/PGptThVbeLeZ+ciS1BERLzh5GGYdAn88bnN+ziyA9Z9Y0Owmp/2BXT9t7bU+qEtNp9jz3Loeqdta3OtnTs/uwF2LrTn2T4fZvzTVv0Dmy8x/xU7Dx7aYsnGyk9g4fjM57jGehC+/7u7bijs4qwxjaDZYHvMzkVWJ069w0YEuCZQF8XGH+HrO+z3oS1waDP8lrlSlet5uvzNhlrNeMjqxA3TrZeox2j3cKaG58Hqz+09iF9nQ5CL28PT+TY4vNUm4B/abBfFddV9BWnczyain6ktP9vQ7uyrl/3wsN1/ZIfVx9vn2zwYlyM7bd6IVsDyGQ3BEu9o0NvGe1Ztai1LWff3hJQTNqHMtZxuSfW4B07E2wnU4bBleFtcYi06+TnnAqtQlr4Hpw5bhVSnC9z8nXVtuzQ83yqODwZZstR6iFVOLn0fs5ak+a/YCS8yypKD3g/Y9ko1bZWVWU/YBbPSUmz8beP+7iRjwDPWcvXp9da7cu7dBccOVlF0uBHWfGFDvErq8Db7adzPfV9klK32NWesTbSPaQRD3nMvU5yaZBXasK9L/roiIsURUd7mTyyeYNeQyEi11vxON7vPty4XPGJLvU5/wCZzD3nPJjaDzWW79Qf4+UlbwSk5wc7TDc93zz/odLPNPVz4mi2hHl7O5kJ0H2Xby1SAoZ9bQ9bE3tbj0H8MfDG84DJcMcG+IE+5zuqT+ufCjV/ZYidFVa2ZzWGY+aglTGERUKWRzYNpd73tU6kW3PilrbD4dk+b1N5heM7la3vdb1/Gp1xn8zr6Plr8HpDourZi10+PwO//tSFr/Z6A/40u+HFtrrE68dDmnA1bxbVxRu5rVznTbSWs43vteDbuDxeNdW9f+5UN34uuV/LXlTPicDoLmqErIlnXARlahBYdXzgRD292s/kaJT2ZLhwP2+bAsK+K/pil71pv003fluw1RURKy1NRcN1ka4QS/zXzMVsd89LXSvb49DT4T2O48evc14LJT1oKvNHRVh+r171krytnTEOwRAJdxRq2DOSxuJI/R6VatoRxcYSE28WhRERESqL3g7baYnGXBXY5dcSWRq7dseiPObbb6jslHz6lHhCRwvh7D4iIiOSkHhARv6YEREREREREvEZDsERERERExGuUgIiIiIiIiNcoAREREREREa9RAiIiIiIiIl6jBERERERERLxGCYiIiIiIiHiNEhAREREREfEaJSAiIiIiIuI1SkBERERERMRr/h9hqPcC71wxlAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "env.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Motor\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define the `SolidMotor` object\n" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "k828fj = SolidMotor(\n", + " thrust_source=\"../../data/motors/aerotech/AeroTech_K828FJ.eng\",\n", + " burn_time=parameters.get(\"burn_time\")[0],\n", + " dry_mass=0.001,\n", + " dry_inertia=(0, 0, 0),\n", + " center_of_dry_mass_position=0.3,\n", + " grains_center_of_mass_position=0.3,\n", + " grain_number=3,\n", + " grain_separation=parameters.get(\"grain_separation\")[0],\n", + " grain_density=parameters.get(\"grain_density\")[0],\n", + " grain_outer_radius=parameters.get(\"grain_outer_radius\")[0],\n", + " grain_initial_inner_radius=parameters.get(\"grain_initial_inner_radius\")[0],\n", + " grain_initial_height=parameters.get(\"grain_initial_height\")[0],\n", + " nozzle_radius=parameters.get(\"nozzle_radius\")[0],\n", + " throat_radius=parameters.get(\"throat_radius\")[0],\n", + " interpolation_method=\"linear\",\n", + " nozzle_position=0,\n", + " coordinate_system_orientation=\"nozzle_to_combustion_chamber\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k828fj.plots.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nozzle Details\n", + "Nozzle Radius: 0.04445 m\n", + "Nozzle Throat Radius: 0.0214376 m\n", + "\n", + "Grain Details\n", + "Number of Grains: 3\n", + "Grain Spacing: 0.003 m\n", + "Grain Density: 782.4 kg/m3\n", + "Grain Outer Radius: 0.042799 m\n", + "Grain Inner Radius: 0.033146999999999996 m\n", + "Grain Height: 0.1524 m\n", + "Grain Volume: 0.000 m3\n", + "Grain Mass: 0.275 kg\n", + "\n", + "Motor Details\n", + "Total Burning Time: 2.43 s\n", + "Total Propellant Mass: 0.824 kg\n", + "Structural Mass Ratio: 0.001\n", + "Average Propellant Exhaust Velocity: 2514.035 m/s\n", + "Average Thrust: 852.260 N\n", + "Maximum Thrust: 1303.79 N at 0.04 s after ignition.\n", + "Total Impulse: 2070.992 Ns\n", + "\n" + ] + }, + { + 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k828fj.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rocket\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create the `Rocket` object\n" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "bella_lui = Rocket(\n", + " radius=parameters.get(\"radius\")[0],\n", + " mass=parameters.get(\"rocket_mass\")[0],\n", + " inertia=(\n", + " parameters.get(\"inertia_i\")[0],\n", + " parameters.get(\"inertia_i\")[0],\n", + " parameters.get(\"inertia_z\")[0],\n", + " ),\n", + " power_off_drag=0.43,\n", + " power_on_drag=0.43,\n", + " center_of_mass_without_motor=0,\n", + ")\n", + "bella_lui.set_rail_buttons(0.1, -0.5)\n", + "bella_lui.add_motor(motor=k828fj, position=parameters.get(\"distance_rocket_nozzle\")[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding aerodynamic surfaces\n" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "nose_cone = bella_lui.add_nose(\n", + " length=parameters.get(\"nose_length\")[0],\n", + " kind=\"tangent\",\n", + " position=parameters.get(\"nose_distance_to_cm\")[0]\n", + " + parameters.get(\"nose_length\")[0],\n", + ")\n", + "fin_set = bella_lui.add_trapezoidal_fins(\n", + " 3,\n", + " span=parameters.get(\"fin_span\")[0],\n", + " root_chord=parameters.get(\"fin_root_chord\")[0],\n", + " tip_chord=parameters.get(\"fin_tip_chord\")[0],\n", + " position=parameters.get(\"fin_distance_to_cm\")[0],\n", + ")\n", + "tail = bella_lui.add_tail(\n", + " top_radius=parameters.get(\"tail_top_radius\")[0],\n", + " bottom_radius=parameters.get(\"tail_bottom_radius\")[0],\n", + " length=parameters.get(\"tail_length\")[0],\n", + " position=parameters.get(\"tail_distance_to_cm\")[0],\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding Parachute\n" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [], + "source": [ + "Drogue = bella_lui.add_parachute(\n", + " \"Drogue\",\n", + " cd_s=parameters.get(\"CdS_drogue\")[0],\n", + " trigger=\"apogee\",\n", + " sampling_rate=105,\n", + " lag=parameters.get(\"lag_rec\")[0],\n", + " noise=(0, 8.3, 0.5),\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Modify the Drag Coefficient curve\n" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "# Define aerodynamic drag coefficients\n", + "bella_lui.power_off_drag = Function(\n", + " [\n", + " (0.01, 0.51),\n", + " (0.02, 0.46),\n", + " (0.04, 0.43),\n", + " (0.28, 0.43),\n", + " (0.29, 0.44),\n", + " (0.45, 0.44),\n", + " (0.49, 0.46),\n", + " ],\n", + " \"Mach Number\",\n", + " \"Drag Coefficient with Power Off\",\n", + " \"linear\",\n", + " \"constant\",\n", + ")\n", + "bella_lui.power_on_drag = Function(\n", + " [\n", + " (0.01, 0.51),\n", + " (0.02, 0.46),\n", + " (0.04, 0.43),\n", + " (0.28, 0.43),\n", + " (0.29, 0.44),\n", + " (0.45, 0.44),\n", + " (0.49, 0.46),\n", + " ],\n", + " \"Mach Number\",\n", + " \"Drag Coefficient with Power On\",\n", + " \"linear\",\n", + " \"constant\",\n", + ")\n", + "bella_lui.power_off_drag *= parameters.get(\"power_off_drag\")[0]\n", + "bella_lui.power_on_drag *= parameters.get(\"power_on_drag\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Inertia Details\n", + "\n", + "Rocket Mass: 18.226 kg (without motor)\n", + "Rocket Dry Mass: 18.227 kg (with unloaded motor)\n", + "Rocket Loaded Mass: 19.051 kg\n", + "Rocket Structural Mass Ratio: 0.957\n", + "Rocket Inertia (with unloaded motor) 11: 0.783 kg*m2\n", + "Rocket Inertia (with unloaded motor) 22: 0.783 kg*m2\n", + "Rocket Inertia (with unloaded motor) 33: 0.064 kg*m2\n", + "Rocket Inertia (with unloaded motor) 12: 0.000 kg*m2\n", + "Rocket Inertia (with unloaded motor) 13: 0.000 kg*m2\n", + "Rocket Inertia (with unloaded motor) 23: 0.000 kg*m2\n", + "\n", + "Geometrical Parameters\n", + "\n", + "Rocket Maximum Radius: 0.078 m\n", + "Rocket Frontal Area: 0.019113 m2\n", + "\n", + "Rocket Distances\n", + "Rocket Center of Dry Mass - Center of Mass without Motor: 0.000 m\n", + "Rocket Center of Dry Mass - Nozzle Exit: 1.136 m\n", + "Rocket Center of Dry Mass - Center of Propellant Mass: 0.836 m\n", + "Rocket Center of Mass - Rocket Loaded Center of Mass: 0.036 m\n", + "\n", + "\n", + "Aerodynamics Lift Coefficient Derivatives\n", + "\n", + "Nose Cone Lift Coefficient Derivative: 2.000/rad\n", + "Fins Lift Coefficient Derivative: 10.281/rad\n", + "Tail Lift Coefficient Derivative: -0.502/rad\n", + "\n", + "Center of Pressure\n", + "\n", + "Nose Cone Center of Pressure position: 1.433 m\n", + "Fins Center of Pressure position: -0.871 m\n", + "Tail Center of Pressure position: -1.110 m\n", + "\n", + "Stability\n", + "\n", + "Center of Mass position (time=0): -0.036 m\n", + "Center of Pressure position (time=0): -0.469 m\n", + "Initial Static Margin (mach=0, time=0): 2.777 c\n", + "Final Static Margin (mach=0, time=burn_out): 3.009 c\n", + "Rocket Center of Mass (time=0) - Center of Pressure (mach=0): 0.433 m\n", + "\n", + "\n", + "Parachute Details\n", + "\n", + "Parachute Drogue with a cd_s of 0.7854 m2\n", + "Ejection signal trigger: At Apogee\n", + "Ejection system refresh rate: 105.000 Hz\n", + "Time between ejection signal is triggered and the parachute is fully opened: 1.0 s\n", + "\n" + ] + } + ], + "source": [ + "bella_lui.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n" + ] + } + ], + "source": [ + "# Flight\n", + "test_flight = Flight(\n", + " rocket=bella_lui,\n", + " environment=env,\n", + " rail_length=parameters.get(\"rail_length\")[0],\n", + " inclination=parameters.get(\"inclination\")[0],\n", + " heading=parameters.get(\"heading\")[0],\n", + " equations_of_motion=\"solid_propulsion\",\n", + " simulation_mode=\"3 DOF\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Initial Conditions\n", + "\n", + "Initial time: 0.000 s\n", + "Position - x: 0.00 m | y: 0.00 m | z: 407.00 m\n", + "Velocity - Vx: 0.00 m/s | Vy: 0.00 m/s | Vz: 0.00 m/s\n", + "Attitude (quaternions) - e0: 1.000 | e1: -0.006 | e2: 0.006 | e3: 0.000\n", + "Euler Angles - Spin φ : 45.00° | Nutation θ: -1.00° | Precession ψ: -45.00°\n", + "Angular Velocity - ω1: 0.00 rad/s | ω2: 0.00 rad/s | ω3: 0.00 rad/s\n", + "Initial Stability Margin: 2.777 c\n", + "\n", + "\n", + "Surface Wind Conditions\n", + "\n", + "Frontal Surface Wind Speed: 1.23 m/s\n", + "Lateral Surface Wind Speed: 0.26 m/s\n", + "\n", + "\n", + "Launch Rail\n", + "\n", + "Launch Rail Length: 4.2 m\n", + "Launch Rail Inclination: 89.00°\n", + "Launch Rail Heading: 45.00°\n", + "\n", + "\n", + "Rail Departure State\n", + "\n", + "Rail Departure Time: 0.359 s\n", + "Rail Departure Velocity: 16.184 m/s\n", + "Rail Departure Stability Margin: 2.818 c\n", + "Rail Departure Angle of Attack: 4.457°\n", + "Rail Departure Thrust-Weight Ratio: 5.416\n", + "Rail Departure Reynolds Number: 1.691e+05\n", + "\n", + "\n", + "Burn out State\n", + "\n", + "Burn out time: 2.430 s\n", + "Altitude at burn out: 530.013 m (ASL) | 123.013 m (AGL)\n", + "Rocket speed at burn out: 85.175 m/s\n", + "Freestream velocity at burn out: 85.150 m/s\n", + "Mach Number at burn out: 0.251\n", + "Kinetic energy at burn out: 6.612e+04 J\n", + "\n", + "\n", + "Apogee State\n", + "\n", + "Apogee Time: 10.607 s\n", + "Apogee Altitude: 867.740 m (ASL) | 460.740 m (AGL)\n", + "Apogee Freestream Speed: 0.535 m/s\n", + "Apogee X position: 13.540 m\n", + "Apogee Y position: 16.834 m\n", + "Apogee latitude: 47.2136275°\n", + "Apogee longitude: 9.0035154°\n", + "\n", + "\n", + "Parachute Events\n", + "\n", + "Parachute: Drogue\n", + "\tEjection time: 10.610 s\n", + "\tInflation time: 11.610 s\n", + "\tFreestream speed at inflation: 9.833 m/s\n", + "\tAltitude at inflation: 862.810 m (ASL) | 460.740 m (AGL)\n", + "\n", + "\n", + "Impact Conditions\n", + "\n", + "Time of impact: 35.764 s\n", + "X impact: 30.518 m\n", + "Y impact: 46.042 m\n", + "Altitude impact: 407.000 m (ASL) | 0.000 m (AGL) \n", + "Latitude: 47.2138903°\n", + "Longitude: 9.0037403°\n", + "Vertical velocity at impact: -19.574 m/s\n", + "Number of parachutes triggered until impact: 1\n", + "\n", + "\n", + "Stability Margin\n", + "\n", + "Initial Stability Margin: 2.777 c at 0.00 s\n", + "Out of Rail Stability Margin: 2.818 c at 0.36 s\n", + "Maximum Stability Margin: 3.031 c at 2.41 s\n", + "Minimum Stability Margin: 2.777 c at 0.00 s\n", + "\n", + "\n", + "Maximum Values\n", + "\n", + "Maximum Speed: 86.229 m/s at 2.25 s\n", + "Maximum Mach Number: 0.254 Mach at 2.25 s\n", + "Maximum Reynolds Number: 8.912e+05 at 2.25 s\n", + "Maximum Dynamic Pressure: 4.380e+03 Pa at 2.25 s\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "hello\n", + "Maximum Acceleration During Motor Burn: 58.470 m/s² at 0.04 s\n", + "Maximum Gs During Motor Burn: 5.962 g at 0.04 s\n", + "Maximum Acceleration After Motor Burn: -0.000 m/s² at 0.00 s\n", + "Maximum Gs After Motor Burn: -0.000 Gs at 0.00 s\n", + "Maximum Stability Margin: 3.031 c at 2.41 s\n", + "Maximum Upper Rail Button Normal Force: 3.357 N\n", + "Maximum Upper Rail Button Shear Force: 0.700 N\n", + "Maximum Lower Rail Button Normal Force: 0.672 N\n", + "Maximum Lower Rail Button Shear Force: 0.140 N\n", + "\n", + "\n", + "Numerical Integration Settings\n", + "\n", + "Maximum Allowed Flight Time: 600.00 s\n", + "Maximum Allowed Time Step: inf s\n", + "Minimum Allowed Time Step: 0.00e+00 s\n", + "Relative Error Tolerance: 1e-06\n", + "Absolute Error Tolerance: [0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 1e-06, 1e-06, 1e-06, 1e-06, 0.001, 0.001, 0.001]\n", + "Allow Event Overshoot: True\n", + "Terminate Simulation on Apogee: False\n", + "Number of Time Steps Used: 194\n", + "Number of Derivative Functions Evaluation: 74\n", + "Average Function Evaluations per Time Step: 0.381\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_flight.info()\n", + "test_flight.plots.trajectory_3d()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison with the real flight data\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Load the available flight data: altitude above ground level (m), vertical velocity (m/s), time (s)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "flight_data = np.loadtxt(\n", + " \"../../data/rockets/EPFL_Bella_Lui/bella_lui_flight_data_filtered.csv\",\n", + " skiprows=1,\n", + " delimiter=\",\",\n", + " usecols=(2, 3, 4),\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convert to Function objects\n" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [], + "source": [ + "actual_z = Function(\n", + " source=np.column_stack((flight_data[:573, 0], flight_data[:573, 1])),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Altitude above ground level (m)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")\n", + "\n", + "actual_vz = Function(\n", + " source=np.column_stack((flight_data[:573, 0], flight_data[:573, 2])),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Vertical velocity (m/s)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")\n", + "\n", + "# the actual acceleration will be calculated as the derivative of the actual velocity\n", + "actual_az = actual_vz.derivative_function()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We may need to filter the acceleration data to reduce the noise\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "az_filtered = savgol_filter(x=actual_az.source[:, 1], window_length=51, polyorder=3)\n", + "\n", + "actual_az_filtered = Function(\n", + " source=np.column_stack((actual_az.source[:, 0], az_filtered)),\n", + " inputs=\"Time (s)\",\n", + " outputs=\"Vertical acceleration (m/s^2)\",\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Function.compare_plots(\n", + " [(actual_az, \"actual\"), (actual_az_filtered, \"filtered\")],\n", + " xlabel=\"Time (s)\",\n", + " ylabel=\"Vertical acceleration (m/s^2)\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Get the simulated results\n" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "simulated_z = test_flight.z - env.elevation\n", + "simulated_vz = test_flight.vz\n", + "simulated_az = test_flight.az\n", + "simulated_t_final = test_flight.t_final\n", + "simulated_apogee = test_flight.apogee - env.elevation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plots comparison\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(actual_z[:, 0], actual_z[:, 1], label=\"Flight data\")\n", + "plt.plot(simulated_z[:, 0], simulated_z[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Altitude (m)\")\n", + "plt.ylim(0, round(simulated_apogee, -2))\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(actual_vz[:, 0], actual_vz[:, 1], label=\"Flight data\")\n", + "plt.plot(simulated_vz[:, 0], simulated_vz[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Vertical velocity (m/s)\")\n", + "# plt.ylim()\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(actual_az_filtered[:, 0], actual_az_filtered[:, 1], label=\"Flight data\")\n", + "plt.plot(simulated_az[:, 0], simulated_az[:, 1], label=\"RocketPy\")\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Vertical acceleration (m/s^2)\")\n", + "# plt.ylim()\n", + "plt.xlim(0, round(simulated_t_final, -1))\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numerical comparison\n" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Apogee (AGL)\n", + "RocketPy: 460.74 m\n", + "Real data: 458.97 m\n", + "Absolute error: 1.77 m\n", + "Relative error: 0.39 %\n" + ] + } + ], + "source": [ + "print(\"Apogee (AGL)\")\n", + "print(f\"RocketPy: {simulated_apogee:.2f} m\")\n", + "print(f\"Real data: {actual_z.max:.2f} m\")\n", + "diff = abs(actual_z.max - simulated_apogee)\n", + "print(f\"Absolute error: {diff:.2f} m\")\n", + "print(f\"Relative error: {diff / actual_z.max * 100:.2f} %\")" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Velocity\n", + "RocketPy: 86.20 m/s\n", + "Real data: 90.00 m/s\n", + "Absolute error: -3.80 m/s\n", + "Relative error: 4.23 %\n" + ] + } + ], + "source": [ + "print(\"Max Velocity\")\n", + "print(f\"RocketPy: {simulated_vz.max:.2f} m/s\")\n", + "print(f\"Real data: {actual_vz.max:.2f} m/s\")\n", + "velocity_error = simulated_vz.max - actual_vz.max\n", + "print(f\"Absolute error: {velocity_error:.2f} m/s\")\n", + "relative_error = abs(velocity_error) / actual_vz.max * 100\n", + "print(f\"Relative error: {relative_error:.2f} %\")" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Acceleration\n", + "RocketPy: 58.46 m/s²\n", + "Real data (derivative): 58.73 m/s²\n", + "Absolute error: -0.27 m/s^2\n", + "Relative error: 0.46 %\n" + ] + } + ], + "source": [ + "print(\"Max Acceleration\")\n", + "print(f\"RocketPy: {simulated_az.max:.2f} m/s²\")\n", + "print(f\"Real data (derivative): {actual_az_filtered.max:.2f} m/s²\")\n", + "acceleration_error = simulated_az.max - actual_az_filtered.max\n", + "print(f\"Absolute error: {acceleration_error:.2f} m/s^2\")\n", + "relative_error = abs(acceleration_error) / actual_az_filtered.max * 100\n", + "print(f\"Relative error: {relative_error:.2f} %\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/examples/test_camoes_flight_sim.ipynb b/docs/examples/test_camoes_flight_sim.ipynb new file mode 100644 index 000000000..616610761 --- /dev/null +++ b/docs/examples/test_camoes_flight_sim.ipynb @@ -0,0 +1,847 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Camões - Rocket Experiment Division \n", + "\n", + "Launched at EUROC'23, achieved the target apogee of 3000 meters, with a flawless ascent phase, featuring effective air brake operation throughout. \n", + "The recovery phase had only the actuation of a drogue parachute.\n", + "\n", + "Permission to use flight data given by Gonçalo Machado, 2024.\n", + "\n", + "These results were extracted out of the flight card:\n", + "\n", + "1. Team number: `20`\n", + "2. Launch date: `October 14th, 2023. 14h local time`\n", + "3. Simulated apogee: `3003 m`\n", + "4. Official recorded apogee: `3015 m`\n", + "\n", + "The relative error of altitude apogee is only `0.39%`!" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "ename": "OSError", + "evalue": "'seaborn-v0_8-colorblind' not found in the style library and input is not a valid URL or path; see `style.available` for list of available styles", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\style\\core.py:127\u001b[0m, in \u001b[0;36muse\u001b[1;34m(style)\u001b[0m\n\u001b[0;32m 126\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m--> 127\u001b[0m rc \u001b[38;5;241m=\u001b[39m \u001b[43mrc_params_from_file\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstyle\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43muse_default_template\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[0;32m 128\u001b[0m _apply_style(rc)\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:852\u001b[0m, in \u001b[0;36mrc_params_from_file\u001b[1;34m(fname, fail_on_error, use_default_template)\u001b[0m\n\u001b[0;32m 838\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[0;32m 839\u001b[0m \u001b[38;5;124;03mConstruct a `RcParams` from file *fname*.\u001b[39;00m\n\u001b[0;32m 840\u001b[0m \n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 850\u001b[0m \u001b[38;5;124;03m parameters specified in the file. (Useful for updating dicts.)\u001b[39;00m\n\u001b[0;32m 851\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m--> 852\u001b[0m config_from_file \u001b[38;5;241m=\u001b[39m \u001b[43m_rc_params_in_file\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfail_on_error\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfail_on_error\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 854\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m use_default_template:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:778\u001b[0m, in \u001b[0;36m_rc_params_in_file\u001b[1;34m(fname, transform, fail_on_error)\u001b[0m\n\u001b[0;32m 777\u001b[0m rc_temp \u001b[38;5;241m=\u001b[39m {}\n\u001b[1;32m--> 778\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m _open_file_or_url(fname) \u001b[38;5;28;01mas\u001b[39;00m fd:\n\u001b[0;32m 779\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\contextlib.py:117\u001b[0m, in \u001b[0;36m_GeneratorContextManager.__enter__\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m 116\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m--> 117\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mnext\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgen\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m 118\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mStopIteration\u001b[39;00m:\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\__init__.py:755\u001b[0m, in \u001b[0;36m_open_file_or_url\u001b[1;34m(fname)\u001b[0m\n\u001b[0;32m 754\u001b[0m encoding \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mutf-8\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m--> 755\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m \u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mencoding\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mas\u001b[39;00m f:\n\u001b[0;32m 756\u001b[0m \u001b[38;5;28;01myield\u001b[39;00m f\n", + "\u001b[1;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'seaborn-v0_8-colorblind'", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[1;31mOSError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[2], line 8\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mrocketpy\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmotors\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mtank\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m MassFlowRateBasedTank\n\u001b[0;32m 6\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpyplot\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mplt\u001b[39;00m\n\u001b[1;32m----> 8\u001b[0m \u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mstyle\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43muse\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mseaborn-v0_8-colorblind\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n", + "File \u001b[1;32mc:\\Users\\Dell\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\matplotlib\\style\\core.py:130\u001b[0m, in \u001b[0;36muse\u001b[1;34m(style)\u001b[0m\n\u001b[0;32m 128\u001b[0m _apply_style(rc)\n\u001b[0;32m 129\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mIOError\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m err:\n\u001b[1;32m--> 130\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mIOError\u001b[39;00m(\n\u001b[0;32m 131\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m{!r}\u001b[39;00m\u001b[38;5;124m not found in the style library and input is not a \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 132\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvalid URL or path; see `style.available` for list of \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 133\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mavailable styles\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m.\u001b[39mformat(style)) \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01merr\u001b[39;00m\n", + "\u001b[1;31mOSError\u001b[0m: 'seaborn-v0_8-colorblind' not found in the style library and input is not a valid URL or path; see `style.available` for list of available styles" + ] + } + ], + "source": [ + "from rocketpy import Function, Environment, Flight, Rocket, SolidMotor\n", + "from rocketpy import AirBrakes, _Controller\n", + "from rocketpy.motors import CylindricalTank, SolidMotor\n", + "from rocketpy.motors.tank import MassFlowRateBasedTank\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use(\"seaborn-v0_8-colorblind\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Environment" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Gravity Details\n", + "\n", + "Acceleration of gravity at surface level: 9.8066 m/s²\n", + "Acceleration of gravity at 4.000 km (ASL): 9.8066 m/s²\n", + "\n", + "\n", + "Launch Site Details\n", + "\n", + "Launch Date: 2023-10-14 13:00:00 UTC | 2023-10-14 14:00:00 Portugal\n", + "Launch Site Latitude: 39.39000°\n", + "Launch Site Longitude: -8.28954°\n", + "Reference Datum: WGS84\n", + "Launch Site UTM coordinates: 44367.90 W 4373424.89 N\n", + "Launch Site UTM zone: 30S\n", + "Launch Site Surface Elevation: 107.0 m\n", + "\n", + "\n", + "Atmospheric Model Details\n", + "\n", + "Atmospheric Model Type: Reanalysis\n", + "Reanalysis Maximum Height: 4.000 km\n", + "Reanalysis Time Period: from 2023-10-12 08:00:00 to 2023-10-15 18:00:00 utc\n", + "Reanalysis Hour Interval: 1 hrs\n", + "Reanalysis Latitude Range: From 40.0° to 39.0°\n", + "Reanalysis Longitude Range: From -9.0° to -7.0°\n", + "\n", + "Surface Atmospheric Conditions\n", + "\n", + "Surface Wind Speed: 0.90 m/s\n", + "Surface Wind Direction: 207.00°\n", + "Surface Wind Heading: 27.00°\n", + "Surface Pressure: 1000.00 hPa\n", + "Surface Temperature: 295.59 K\n", + "Surface Air Density: 1.179 kg/m³\n", + "Surface Speed of Sound: 344.66 m/s\n", + "\n", + "\n", + "Earth Model Details\n", + "\n", + "Earth Radius at Launch site: 6369.57 km\n", + "Semi-major Axis: 6378.14 km\n", + "Semi-minor Axis: 6356.75 km\n", + "Flattening: 0.0034\n", + "\n", + "\n", + "Atmospheric Model Plots\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "env = Environment(\n", + " gravity=9.80665,\n", + " date=(2023, 10, 14, 14),\n", + " latitude=39.3900032043457,\n", + " longitude=-8.2895383834838,\n", + " elevation=107,\n", + " datum=\"WGS84\",\n", + " timezone=\"Portugal\",\n", + ")\n", + "\n", + "env.set_atmospheric_model(\n", + " type=\"Reanalysis\",\n", + " file=\"../../data/weather/euroc_2023_all_windows.nc\",\n", + " dictionary=\"ECMWF\",\n", + ")\n", + "env.max_expected_height = 4000\n", + "env.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Motor" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "Mariachi = SolidMotor(\n", + " thrust_source=\"../../data/rockets/camoes/thrust_source.csv\",\n", + " burn_time=3.72,\n", + " grain_number=6,\n", + " grain_density=1637,\n", + " grain_initial_inner_radius=0.015,\n", + " grain_outer_radius=0.045,\n", + " grain_initial_height=0.15,\n", + " nozzle_radius=0.034,\n", + " throat_radius=0.0135,\n", + " grain_separation=0.005,\n", + " grains_center_of_mass_position=-0.7566,\n", + " dry_inertia=(0, 0, 0),\n", + " center_of_dry_mass_position=0,\n", + " dry_mass=0,\n", + " nozzle_position=-1.3346,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Nozzle Details\n", + "Nozzle Radius: 0.034 m\n", + "Nozzle Throat Radius: 0.0135 m\n", + "\n", + "Grain Details\n", + "Number of Grains: 6\n", + "Grain Spacing: 0.005 m\n", + "Grain Density: 1637 kg/m3\n", + "Grain Outer Radius: 0.045 m\n", + "Grain Inner Radius: 0.015 m\n", + "Grain Height: 0.15 m\n", + "Grain Volume: 0.001 m3\n", + "Grain Mass: 1.389 kg\n", + "\n", + "Motor Details\n", + "Total Burning Time: 3.72 s\n", + "Total Propellant Mass: 8.331 kg\n", + "Structural Mass Ratio: 0.000\n", + "Average Propellant Exhaust Velocity: 1320.764 m/s\n", + "Average Thrust: 2957.984 N\n", + "Maximum Thrust: 4145.791 N at 1.65 s after ignition.\n", + "Total Impulse: 11003.702 Ns\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Mariachi.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rocket and Aerodynamic surfaces" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For comparison purposes, no parachute will be added to the simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "CAMOES = Rocket(\n", + " radius=0.0715,\n", + " mass=22.8,\n", + " inertia=(16.2, 16.2, 0.066),\n", + " center_of_mass_without_motor=0,\n", + " power_off_drag=\"../../data/rockets/camoes/drag_coefficient_power_off.csv\",\n", + " power_on_drag=\"../../data/rockets/camoes/drag_coefficient_power_on.csv\",\n", + " coordinate_system_orientation=\"tail_to_nose\",\n", + ")\n", + "\n", + "CAMOES.set_rail_buttons(0.5, 0.2)\n", + "\n", + "CAMOES.add_motor(Mariachi, position=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "NoseCone = CAMOES.add_nose(\n", + " length=0.455,\n", + " kind=\"vonKarman\",\n", + " position=1.1884,\n", + ")\n", + "\n", + "FinSet = CAMOES.add_trapezoidal_fins(\n", + " n=4,\n", + " span=0.155,\n", + " root_chord=0.185,\n", + " tip_chord=0.15,\n", + " position=-1.0866,\n", + ")\n", + "\n", + "Tail = CAMOES.add_tail(\n", + " top_radius=0.0715, bottom_radius=0.037, length=0.048, position=-1.2866\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def drogue_trigger(p, h, y):\n", + " return True if y[5] < 5 and y[2] > 300 else False\n", + "\n", + "\n", + "Drogue = CAMOES.add_parachute(\n", + " \"Drogue\", cd_s=0.33, sampling_rate=400, lag=1.5, trigger=drogue_trigger\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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s8rCzs2PRokV88cUXvPPOO+Tl5bFt2zbat2/Pxo0bmTZtGnPnzsXc3Jz+/fvz7LPPFpnWFeDNN9/kwoULbNiwgRUrVuDk5PTYRkNZ329CCCFERWkkJCTIyDchRLW5ffs2AQEBzJw5kwkTJtR0OEIIIYQoAxnTIIQQQgghhCiVNBqEEEIIIYQQpZJGgxBCCCGEEKJUMqZBCCGEEEIIUSq50yCEEEIIIYQolTQahBBCCCGEEKWSdRqeID8/n7t372JsbIyGhkZNhyOEEEJUOZVKRWpqKg4ODmhqyvVFIYQ0Gp7o7t27+Pn51XQYQgghRLU7f/48DRo0qOkwhBC1QJ1rNKxevZply5YRGxuLj48Pn3/+OcHBwU887rfffmPkyJHKyrllZWxsDEBUVFSxFW1FUbGxsdja2tZ0GHWW5E99kkP1SQ7VU1/yl5KSgpOTk/I3UAgh6lSjYfPmzUydOpVFixYRHBzMypUr6devH8ePH8fGxuaxx92+fZtPP/2UNm3alLvOwi5Jpqam0mh4gocPH0qO1CD5U5/kUH2SQ/XUt/xJt1whRKE61VFx+fLlDBkyhNdee42mTZuyePFiDA0NWb9+/WOPycvLY9SoUXz44Ye4uro+sY6srCxSUlKUx8OHDyvxDOq36Ojomg6hTpP8qU9yqD7JoXokf0KI+qrO3GnIzs7m7NmzTJo0SdmmqalJhw4dOHHixGOPCwkJwcbGhjfeeIOjR48+sZ4lS5YQEhJSbHtYWBhGRkYEBQURHh5ORkYGJiYmuLm5ce7cOQBcXFzIz88nKioKgICAAK5fv05qaipGRkZ4enpy+vRpABo2bIiWlha3bt0CoFmzZkRGRpKSkoK+vj4+Pj6cPHkSAEdHR/T19blx4wYAvr6+REdHk5SUhK6uLgEBARw/fhwAe3t7jI2NuX79OgBeXl7cv3+fhIQEtLW1CQ4O5vjx46hUKmxsbLCwsODq1asANGnShISEBOLi4tDU1KRFixaEhYWRl5eHlZUVtra2hIeHA+Dh4UFKSgr3798HoFWrViQnJ3Ps2DEsLCxwdHTk4sWLADRu3Jj09HTu3r0LQPPmzblw4QKZmZmYmZnh7OzM+fPnAXB1dSU3N1f5wxsUFMTly5dJT0/H2NiYxo0bc/bsWQCcnZ2BgjtJAP7+/kRERJCamoqhoSFNmzbl1KlTSr61tbWJjIwEwM/Pj9u3b5OcnIy+vj6+vr6EhYUB4ODggKGhIREREQD4+PgQExNDYmIiOjo6BAUFcezYMQDs7OwwNTXl2rVrSr5jY2OJj49HS0uL5s2bc+LECfLz87GxscHS0pIrV64A4OnpSWJiInFxccrVvJMnT5Kbm4ulpSV2dnZKvt3d3UlNTeXevXsAtGzZkjNnzpCdnY25uTkNGzbkwoULADRq1IjMzExiYmIACA4O5uLFi2RmZmJqaoqrq2uR92xeXp6S78DAQK5evUpaWhrGxsa4u7tz5swZAJycnNDU1Czynr158yYPHz7EwMAALy8vJd8NGjRAV1eXmzdvKvmOiooiKSkJPT09mjVrpvze2tvbY2RkpOTb29ube/fukZCQUCzftra2mJmZKflu2rQpDx484MGDB8pgzcJ8W1tbY21tzeXLl5X3bHJyMrGxscp79tSpU+Tk5GBpaYm9vT2XLl1S3rNpaWlKvlu0aMG5c+fIysrC3NwcJycn5T3r5uZGdnY2d+7cUd6zdfkzAqiyz4jCfNfnz4jk5GSAKvmMaNmyZbV9RhSeqxBCFKozi7vdvXsXHx8fdu7cScuWLZXt06dP559//mHPnj3Fjjl69Chvvvkmhw4dwsrKinHjxpGcnFzqmIasrCyysrKU5w8fPsTPz4/k5OR6dcu5KuTk5KCjo1PTYdRZkj/1SQ7VJzlUT33JX0pKCmZmZkRGRsrfPiEEUIfuNJTXw4cPefvtt/niiy+wsrIq83F6enro6elVYWT11+XLl2WmKTVI/tQnOVSf5FA9kj/1qVQq8vPzycvLq+lQhKj3tLW1yzytcp1pNFhZWaGlpUVcXFyR7XFxcdjZ2RXbPzIyktu3b/Pqq68q2/Lz8wGwsbHh+PHjuLm5VW3QT5n09PSaDqFOk/ypT3KoPsmheiR/6snNzSUxMZHs7GwZhC1ENbG0tERfX/+J+9WZRoOuri7+/v4cOnSI7t27AwWNgIMHDzJy5Mhi+3t4eHD48OEi2+bOnUtqaipz586VeaergEzNpx7Jn/okh+qTHKpH8ldxKpWK2NhYdHR0cHR0RFdXt6ZDEqJeU6lUJCQkkJCQgL29/RPvONSZRgPA2LFjGTduHAEBAQQFBbFy5UrS09OVuwljxozBwcGBTz/9FH19fby9vYscb2ZmBlBsu6gcjRs3rukQ6jTJn/okh+qTHKpH8ldxubm5QMFAcwMDgxqORoing6WlJampqeTm5j6xoV6nplzt06cPs2bNYt68eXTo0IHz58/z66+/KgvpREdHKzN1iOpXOGOJqBjJn/okh+qTHKpH8ldxKlXBvCzSLUmI6lOe37c6dacBYOTIkSV2RwLYvn17qcd+/fXXVRGSEEIIIYQQ9VqdutMgarfCOdFFxUj+1Cc5VJ/kUD2SPyFEfSWNBiGEEEKIWmzEiBH07du3psOoN9LT0xkwYACWlpbo6OiQlJRU0yHVCdJoEJWmcNVVUTGSP/VJDtUnOVSP5O/pdO/ePSZNmkTTpk0xNjamQYMGPPvss8qELepasmQJa9asqYRIHy87O5uFCxcSFBSEqakp9vb2PPvss3z//ffk5ORUWj2zZs0iODi40sqriB9++IHDhw9z6NAhoqKilIly/m3t2rXo6OiUuO7Kpk2b0NHRwd3dvTrCrTXq3JgGIYQQQoja4saNG3To0AFzc3Nmz56Nr68venp6XLhwgdWrV9OgQQN69uxZ4rFlXUG8pC+1lSk7O5tu3bpx7tw5ZsyYQdu2bTE1NeXYsWMsXryYgIAAAgICqjSG8srOzq7wtLw3btygadOm+Pr6lrqfkZERsbGxHDlyhDZt2ijb//vf/z6VXRHlToOoNP7+/jUdQp0m+VOf5FB9kkP1SP5qh7ysLFKjo8nLyqryuiZMmIC2tjZHjx6lf//+eHl50ahRI15++WW2bdtGjx49lH11dHRYuXIlvXv3xszMjHnz5pGXl8fIkSPx8PDAxMQEHx8fvvzyyyJ1PNo9qWPHjkycOJEPP/wQW1tbGjZsyKxZs5TXVSoVs2bNolGjRhgZGeHs7MzEiRMfew5ffvklf//9N7t27WLs2LEEBATQqFEjBg8eTGhoKB4eHkDB+liff/65EmtQUBC//fabUs7BgwfR0dFh3759tGrVClNTU5555hmuXLkCFFy9nz17NufOnUNHRwcdHR3Wrl0LQFJSEqNGjcLBwQFLS0s6d+5cZDaywjsUa9aswcPDo9Q1UTZv3oy/vz9GRka4u7uzZMmSIrlbsmQJf//9Nzo6OnTs2PGx5WhrazNo0CC+//57ZVt0dDQHDx5k0KBBRfaNiIigT58+NGjQAHNzc1q3bs3evXuL7LNixQq8vLyUu1EDBw5UXvvtt98ICAjAxMQEOzs7unbtSlpa2mNjqwnSaBCVJiIioqZDqNMkf+qTHKpPcqgeyV/Nu3/sGL8//zx/du/O788/z/1jx6qsrvj4eHbv3s2YMWMwMjIqcZ9Hp7ScPXs2r7zyCqdPn2bYsGHk5+fTsGFDNm7cyLlz5/jkk0+YNm0av/76a6l1//jjjxgZGfHPP/8wb948PvvsM/bs2QMUfGleunQpy5cvJzw8nE2bNpV6VX3Dhg107NiRwMDAYq/p6Ogo5/b555+zbt06vv76a86ePct//vMfhg4dyqFDh4ocM23aNBYsWMDRo0fR1tZWZr0cMGAAkyZNwsfHh6ioKKKiohgwYAAAgwYNIi4uju3bt3Ps2DECAwPp2rUrCQkJSrkRERFs2bKFX375hbCwsBLP5eTJkwwePJgBAwZw+vRppk2bxvTp05XGya+//sqbb75J69atiYqKemKehw0bxqZNm5RuZj/88ANdu3ZVpvsvlJqayosvvsiuXbs4ceIEXbt2pVevXkqXxbCwMCZNmsT06dO5ePEi//vf/2jfvj0Ad+/e5fXXX2fYsGGcP3+ePXv20KtXL2Ua4tpCuieJSpOamlrTIdRpkj/1SQ7VJzlUj+SvZuVlZfHPpEnk/v8veLnp6fwzaRKv7N+Plp5epdd3/fp1VCoVnp6eRbbb29uTmZkJFCw8O2/ePOW1QYMGMWzYsCL7T58+Xfm/m5sbR48eZdOmTfTv3/+xdfv5+TFt2jQAPDw8WL58Ofv27aNTp07cvn0be3t7OnbsiI6ODs7OzrRs2bLU8+jQoUOp55qVlcX8+fPZuXOn0lWnUaNG/PPPP3z77bc8++yzyr6zZ89Wnk+ZMoWXX36ZzMxMDAwMMDY2RktLC3t7e2X/w4cPc+LECWJiYtD7/z+nkJAQtm3bxm+//aY0OrKzs/nvf/+LjY3NY+P84osveOGFF/jkk08A8PT0JDw8nMWLFzN06FAsLS0xNDREV1e3SAyPExgYiJubG7/99huvv/46P/zwAwsWLODGjRtF9vP39y9yp3HmzJn8/vvvbN++nXHjxhEVFYWRkRHdu3fHxMQEFxcXpZF29+5dcnNz6d27Ny4uLgAljqWoaXKnQVQaQ0PDmg6hTpP8qU9yqD7JoXokfzUrIy6O3LQ0KLxCq1KRm5ZGRlxctcYRGhpKWFgY3t7eZD3SRaqkQcDLly+nZcuWODg4YG5uzurVq584qP7RL5UODg7ExsYC0K9fPzIyMvD09GT06NFs3bpVWXG7JGW5on39+nXS09N56aWXMDc3Vx7r1q0rdoft37EVfjEvjK0k586dIzU1FTs7uyJl37x5s8iXcxcXl1IbDACXL1+mbdu2Rba1bduWa9eukZeX98TzLMmwYcNYu3Ythw4dIi0tjZdeeqnYPqmpqUyZMgU/Pz+sra0xNzcnPDycqKgoADp16oSzszOenp4MHTqUDRs2KHcv/P39eeGFFwgMDGTQoEGsXr2axMTECsValeROg6g0TZs2rekQ6jTJn/okh+qTHKpH8lezDGxs0DYyKrjToFKBhgbahoYYPOGLZkW5u7ujoaHB1atXi2xv1KhRQTwGBsWOebQb088//8wHH3xASEgIrVu3xsTEhEWLFnH8+PFS6350ALWGhgb5+fkAODk5cfHiRfbu3cuePXuYMGECixYtYt++fSUOvPbw8FDGHTxO4V20bdu24ejoWOQ1vUfu4vy7jsLuWYWxlSQtLQ0HBwele9W/mZubK/+vqUb5q6++ykcffcSsWbN47bXX0NYu/vV5ypQp7N27l88//5zGjRtjYGDAwIEDyc7OBsDExIQTJ05w8OBBdu/ezcyZM5k9ezZHjhzB3NycnTt3Ehoayp49e/j666/59NNP+eeff3Bzc6vu030sudMgKs2pU6dqOoQ6TfKnPsmh+iSH6pH81SwtPT3aLVmC9v//cqltaEi7JUuqpGsSgJWVFZ06dWL58uUVHrQaGhpKmzZtGDNmDIGBgbi7uxfr+lIRBgYG9OjRgy+++II9e/Zw9OhRzp8/X+K+gwcPZu/evZw+fbrYazk5OaSlpeHt7Y2enh63b9/G3d29yMPJyanMcenq6ha74h8YGMi9e/fQ1tYuVra1tXW5zrtp06aEhoYW2RYaGoqnpydaWlrlKquQpaUlPXv25NChQ8W6lv27jiFDhtCrVy/8/Pywt7fn1q1bRfbR1tamY8eOzJ8/n1OnThEZGcn+/fuBgsZVu3btmD59OmFhYejq6rJ169YKxVtVKnynIScnh/v375ORkYG1tTUWFhaVGZcQQgghRLnZtWrFK/v3kxEXh4GNTZU1GAotW7aMDh060Lp1a6ZNm4afnx+ampqEhYVx5coVgoKCSj3e3d2ddevW8ddff+Hq6sr69esJCwvD1dW1wjGtXbuWvLw8WrZsiaGhIRs2bMDAwEDpL/+od955hz///JOuXbsyY8YM2rVrh4mJCSdPnmTBggWsWrWKgIAAJk+ezHvvvUd+fj7t2rUjOTmZ0NBQTE1NGTJkSJlic3FxITIykjNnztCwYUNMTEzo2LEjrVu3pm/fvsyfPx8PDw9iYmLYsWMHr7zyCs2bNy/zuU+aNIk2bdowZ84c+vfvz9GjR1m+fDnLli0rcxklWbNmDcuWLcPKyqrE1z08PNiyZQvdu3dHQ0ODGTNmFLm78scff3Djxg2eeeYZLCws2LFjB/n5+Xh6enLs2DH2799Pp06dsLW15fjx48TFxeHl5aVWzJWtXI2Ghw8f8uuvv7J582ZOnTpFdnY2KpUKDQ0NHB0def755xk6dOgTf0FE/dSwYcOaDqFOk/ypT3KoPsmheiR/tYOWnh7G1fSzaNy4MSdOnGD+/PlMnTqV6Oho9PT08PLyYvLkybz99tulHj9q1CjOnDnDq6++ioaGBgMHDuTtt99m586dFY7J3NyckJAQ3n//ffLy8vD19WXr1q2P/cKrp6fHzp07Wbp0Kd9++y0ffPABhoaGNG3alPHjxyszL82cORNra2tCQkK4ceMG5ubmBAYG8uGHH5Y5tj59+rB161Y6d+5MUlISq1evZujQoWzfvp1p06bx1ltvERcXh729Pe3bt8fOzq5c5x4UFMTGjRuZOXMmc+bMwcHBgRkzZjB06NBylfMoAwODErubFVqwYAEjR47k2Wefxdramvfee4+UlBTldTMzM7Zu3crs2bPJzMxUGos+Pj6Eh4fz999/8+WXX5KSkoKLiwshISG8+OKLasVc2TQSEhLKNJ/T119/zeLFi3Fzc6Nr164EBQXh4OCAvr4+iYmJhIeHc+TIEf7880+Cg4OVPl11XUpKCq6uriQnJ2NqalrT4dRq9+/fL/cvt/g/kj/1SQ7VJzlUT33JX0pKCmZmZkRGRlbb377s7GwePHiAi4sL+vr61VKnEE+7zMxMbt26hbW19RMXyyvznYbTp0/zv//977G3SoKDg3n99dfJyspiw4YNHDlypF40GkTZRUZG1os/ljVF8qc+yaH6JIfqkfwJIeqrMjcaVq9eXab99PT0GD58eIUDEkIIIYQQQtQuMnuSqDS1cSGSukTypz7Jofokh+qR/Akh6qsKzZ6UmZnJqlWrOHz4MA8ePCg29+6BAwcqIzZRx9y+fVvmKFeD5E99kkP1SQ7VI/kTQtRXFWo0vPPOO+zfv5+XX36ZoKAgZeEO8XRLTk6u6RDqNMmf+iSH6pMcqkfyJ4SoryrUaNi1axc///wzrVu3rux4RB0ms12oR/KnPsmh+iSH6pH8CSHqqwo1GhwcHDAxMansWMS/REdH891335W67Lq6bGxsGDt2bKXdKSqcx1lUjORPfZJD9UkO1SP5E0LUVxVqNMyePZsZM2awePHici0dLsrup59+Yvr06TRo0KBKys/JySE2NpYOHTpU2h+5sLAwWrVqVSllPY0kf+qTHKpPcqgeyZ8Qor6qUKMhMDCQrKwsAgMDMTQ0RFu7aDE3btyolOBKsnr1apYtW0ZsbCw+Pj58/vnnBAcHl7jv2rVr+fnnnwkPDwcgICCAqVOnPnb/2kSlUmFhYUF0dHSVlJ+amoq5uTlHjhyRK2NCCCFqteTk26SnP6iWugwNrTEzc66WuoSoSyrUaBg5ciR3795l2rRp2NjYVNtA6M2bNzN16lQWLVpEcHAwK1eupF+/fhw/fhwbG5ti+//zzz/07duXli1boqenx9KlS+nbty+hoaE4OjpWS8y1lbGxMc2aNSM0NJSRI0dWSpkODg6VUs7TSvKnPsmh+iSH6pH8Vb7k5Nt8840vOTkZ1VKfjo4Bo0dfqFUNhxEjRpCcnMxvv/1W06GIp1iFGg3Hjx9n165d1X6Fevny5QwZMoTXXnsNgMWLF7N7927Wr1/PxIkTi+2/atWqIs+//PJLtm/fzqFDhxg0aFCJdWRlZZGVlaU8f/jwYeWdQC3Ttm1b9uzZU2nlGRoaVlpZTyPJn/okh+qTHKpH8lf50tMfkJOTwYvPv4qlhW2V1pWQGMvO/RtIT39Q7kbDvXv3+Pzzz9mxYwfR0dGYmZnRuHFjXn31VYYMGaLWe2PJkiWoVKoKHy9EZahQo8HDw4OMjOpp8RfKzs7m7NmzTJo0SdmmqalJhw4dOHHiRJnKSE9PJzc3FwsLi8fus2TJEkJCQoptDwsLw8jIiKCgIMLDw8nIyMDExAQ3NzfOnTsHgIuLC/n5+URFRQEF3aGuX79OamoqRkZGeHp6cvr0aQAaNmyIlpYWt27dAqBZs2ZERkaSkpKCvr4++fn55OXlcezYMRwdHdHX11e6ffn6+hIdHU1SUhK6uroEBARw/PhxAOzt7TE2Nub69esAeHl5cf/+fRISEtDW1iY4OJjjx4+jUqlwd3fn66+/ZteuXZibm9OkSRMSEhKIi4tDU1OTFi1aEBYWRl5eHlZWVtja2ipdvTw8PEhJSeH+/fsAtGrVilOnTmFmZoaFhQWOjo5cvHgRgMaNG5Oens7du3cBaN68ORcuXCAzMxMzMzOcnZ05f/48AK6uruTm5irdsoKCgrh8+TLp6ekYGxvTuHFjzp49C4Czc8EH+u3btwHw9/cnIiKC1NRUDA0Nadq0KadOnVLyra2tTWRkJFCwANPt27dJTk5GX18fX19fwsLCgIIrhYaGhkRERADg4+NDTEwMiYmJ6OjoEBQUxLFjxwCws7PD1NSUa9euKfmOjY0lPj4eLS0tmjdvzokTJ8jPz8fGxgZLS0uuXLkCgKenJ4mJicTFxaGhoYFKpeLWrVvk5uZiaWmJnZ2dkm93d3dSU1O5d+8eAC1btuTMmTNkZ2djbm5Ow4YNuXDhAgCNGjUiMzOTmJgYAIKDg7l48SKZmZmYmpri6upa5D2bl5en5DswMJCrV6+SlpaGsbEx7u7unDlzBgAnJyc0NTWLvGdv3rzJw4cPMTAwwMvLS8l3gwYN0NXV5ebNm0q+o6KiSEpKQk9Pj2bNmim/t/b29hgZGSn59vb25t69eyQkJBTLt62tLWZmZkq+mzZtyoMHD3jw4AGamprk5+dz8+ZN8vPzsba2xtramsuXLyvv2eTkZGJjY4u8Z3NycrC0tMTe3p5Lly4p79m0tDQl3y1atODcuXNkZWVhbm6Ok5OT8p51c3MjOzubO3fuKO/Z6viM8PHx4eTJkwCV+hmRm5vLjRs3UKlU2NjYYGFhwdWrVwEq5TMiJyenXn9GJCcn06VLlyr5jGjZsiUnT56sls+IwnOtTSwtbLG1bljTYZToxo0bdOjQAXNzc2bPno2vry96enpcuHCB1atX06BBA3r27FnsuJycHHR0dJ5YvpmZWVWELUS5aCQkJJS76bpv3z5CQkKYOnUq3t7excY0mJqaVlqAhe7evYuPjw87d+6kZcuWyvbp06fzzz//lOmK+Xvvvce+ffsIDQ197LR4Jd1p8PPzIzk5uUrO63EWLFjAvHnzSEhIqLI6IiMjcXNzY/v27fTo0UPt8o4dOyYDANUg+VOf5FB9kkP11Jf8paSkYGZmRmRkZLX97cvOzubBgwe4uLgU+Rt99+4pvvuuFa/2mVjljYbYB9Fs2PwFI0Ycw8EhqMzHde/enUuXLnHhwgWMjIyKva5SqdDQ0EBHR4dly5axa9cu9u3bx7vvvssnn3zC22+/zYEDB7h37x7Ozs6MHj2ad955Rzn+0e5JHTt2xM/PD319fb777jt0dXUZNWoUn376qVLf7Nmz+f7777l//z5WVlb06dOHL774Qr0EiXonMzOTW7duYW1tja6ubqn7VuhOQ//+/QHo1atXke2FvxQPHlTPYKXy+OKLL9i8eTPbt28vdR5tPT099PT0qjGymuPi4oKDgwOhoaGV0mjw8fGphKieXpI/9UkO1Sc5VI/k7+kTHx/P7t27+eyzz0psMABFxn7Onj2bOXPmsGjRIrS1tcnPz6dhw4Zs3LgRKysrjhw5wpgxY3BwcFC+b5Xkxx9/ZOLEifzzzz8cPXqUN998k7Zt29KpUyc2b97M0qVLWb9+vXL3tvCOpxAVVaFGw7Zt2yo7jieysrJCS0uLuLi4Itvj4uKws7Mr9dhly5bxxRdfsGXLFvlA/xcNDQ3atm1LaGhopZQXExODp6dnpZT1NJL8qU9yqD7JoXokf0+f69evo1Kpiv3c7e3tyczMBGDMmDHMmzcPgEGDBjFs2LAi+06fPl35v5ubG0ePHmXTpk2lNhr8/PyYNm0aUNAdcPny5ezbt49OnTpx+/Zt7O3t6dixIzo6Ojg7OxfppSFERVSo0dCuXbvKjuOJdHV18ff359ChQ3Tv3h2A/Px8Dh48WOrsP19++SWLFi1i06ZNBAYGVle4dUabNm349NNPy9yvsjSJiYmVFNXTSfKnPsmh+iSH6pH8iUKhoaHk5+czZMiQIt2eS5r2ffny5Xz//fdERUWRkZFBdnY2/v7+pZbv5+dX5LmDg4MyZqtfv34sW7YMT09PunTpwksvvUSPHj2KdScXojw0y7pjedcLKBxgVZnGjh3LDz/8wMaNG7ly5Qrvvvsu6enpvPrqq0BBS37WrFnK/kuXLmXu3LksW7YMZ2dn7t+/z/3790lNTa302Oqqtm3bkp6eXim3LdVtdDztJH/qkxyqT3KoHsnf08fd3R0NDQ1lwoBCjRo1wt3dHQMDgyLbH+3C9PPPP/PBBx8wfPhw/vzzT8LCwhg6dCjZ2dml1vvoe01DQ4P8/HygYOKKixcvsmzZMgwMDJgwYQLPP/88OTk5FT1NIcreaOjYsSOTJk1SZpooSUpKCmvXrqVt27Zs3769UgL8tz59+jBr1izmzZtHhw4dOH/+PL/++iu2tgVTsEVHRyszdQB89913ZGdnM2zYMLy8vJTHV199Vemx1VVBQUHo6upWSheloKCyDxoTxUn+1Cc5VJ/kUD2Sv6ePlZUVnTp1Yvny5aSlpZX7+NDQUNq0acOYMWMIDAzE3d29UhbJNTAwoEePHnzxxRfs2bOHo0ePKrOQCVERZb5PdeTIERYtWkSfPn3Q19fH398fe3t79PX1SUpK4sqVK1y+fJlmzZoxc+ZMOnfuXCUBjxw58rHdkR5tqBROuyceT09Pj+bNmxMaGsqECRPUKqu+zBpSUyR/6pMcqk9yqB7JX9VJSIyttXUsW7aMDh060Lp1a6ZNm4afnx+ampqEhYVx5cqVUhuT7u7urFu3jr/++gtXV1fWr19PWFgYrq6uFTwLWLt2LXl5ebRs2RJDQ0M2bNiAgYEBLi4uFS5TiDI3GiwtLZkzZw5Tp07lr7/+4ujRo0RHR5ORkYGVlRX9+vXjhRdewNvbuyrjFVWgbdu2/PLLLzUdhhBCCFGMoaE1OjoG7Ny/oVrq09ExwNDQulzHNG7cmBMnTjB//nymTp1KdHQ0enp6eHl5MXnyZN5+++3HHjtq1CjOnDnDq6++ioaGBgMHDuTtt99m586dFT4Hc3NzQkJCeP/998nLy8PX15etW7diZWVV4TKFqNA6DU+TlJQUXF1d6+U6DYW2bNlCnz59iI6OpkGDBhUuJzIyUq0rI087yZ/6JIfqkxyqp77krzat0wCQnHyb9PTqmc7d0NC63KtBC1FXVfk6DaJ+adOmDVDQBa1fv34VLqc6G1X1keRPfZJD9UkO1SP5qxpmZs7yRV6IGlbmgdCi/rK3t8fNzU3twdDXrl2rpIieTpI/9UkO1Sc5VI/kTwhRX0mjQQBU6iJvQgghhBCifpFGgwAKGg2nTp0iIyOjwmV4eXlVYkRPH8mf+iSH6pMcqkfyJ4Sor6TRIICCRkNOTg4nT56scBmFK1GKipH8qU9yqD7JoXokf0KI+qpCjYaNGzfy119/Kc+nT5+Oq6srXbt2JSoqqtKCE9XH19cXIyMjjhw5UuEy4uPjKzGip4/kT32SQ/VJDtUj+RNC1FcVajQsWbJEmQ7t+PHjrFmzhhkzZmBlZcUnn3xSqQGK6qGtrU2rVq3UGtegpaVViRE9fSR/6pMcqk9yqB7JnxCivqrQlKt37tyhUaNGAPz555/07NmTYcOG0apVK15++eVKDVBUn7Zt27Jq1SpUKhUaGhrlPr558+ZVENXTQ/KnPsmh+iSH6pH8CSHqqwo1GoyMjEhISKBhw4bs37+fsWPHAqCvr09mZmalBiiqT9u2bfnss8+4ceMGjRs3LvfxJ06coEWLFlUQ2dNB8qc+yaH6JIfqkfxVjdu3b/PgQfUs7mZtbY2zs6wJIcSjKtRoeO655/jPf/6Dn58fERERdO7cGYDLly/j5ORUqQGK6tO6dWsAQkNDK9RoyM/Pr+yQniqSP/VJDtUnOVSP5K/y3b59Gx8fn2q7KKmvr8/FixfrVMMhMjISDw8PTpw4QUBAQE2HI+qpCjUaFixYwJw5c7hz5w7ff/89lpaWAJw5c4a+fftWaoBPk7y8PD799FN0dHSIi4sjNzeX9PR0DA0Nq6V+CwsLmjZtyrZt2/Dx8Sn38ffv3+fUqVNVENnTQfKnPsmh+mpbDnfs2MGRI0fw9PTE0tISQ0NDjI2NMTY2xtTUFHNzc8zNzbGwsMDKykoZb1dTbGxsarT++ujBgwfV2oshMzOTBw8elKvRMGLECH788UfmzJnDlClTlO2///47/fr1IycnpypCFaJaVajRYGZmRkhISLHtH330kdoBPa2ioqJ44403OHjwYJHtly9fJigoqNri8Pf35+eff2bTpk3VVqcQQjzJ0aNH0dbWJi0tjbS0NFQqVYn7GRoaYm1tjbW1Nba2ttja2mJnZ4e9vT329vY4Ojri4OCAo6MjJiYmlR5n4UU08fTR19dnwYIFjBw5EgsLi5oOR4hKV6FGw5Nm2Gnbtm2Fgnlabd68mbfeegtDQ0OWLVvGhAkTWLduHV5eXjRt2vSxx1VFH88JEybQs2fPCh2bmJgoH5RqqC35Mzc3x8HBoabDqJDz58/j5+dX02HUabUth+Hh4bz++uv8/vvvtGvXDgCVSkVaWhopKSkkJyeTmJhIUlIS8fHxPHjwgPj4eOLi4oiLiyMiIoJ//vmHe/fukZaWVqRsU1NTGjZsqDycnZ1xdnbGxcUFFxcXnJyc0NXVLVe8V65coVWrVpV2/qLu6NixIxEREXz++efMnz+/xH02b97MzJkzuX79Og4ODowbN45JkyYBcPDgQTp16lTsmDfeeIPvvvsOd3d3bt26Vez1x93FuHDhAh9++CGHDx/GyMiITp06sWjRIqytrdU4S/E0q1CjoaQvlf+ebae6BivVVZcuXSInJ4f09HQWLFjAli1beOGFF5gxYwa3b98G/i+f4eHhaGtro1KpyMvLA0BTU5PY2FheeaUXWVm1Z+D5xx9/zIQJE2o6jDqrtuRPX1+fK1eu1Kn+vIVycnKq9c5cfVRbc2hgYKD8X0NDQ+mi5OjoWOYyUlNTiYmJUR537twhOjqa6Ohozp8/z59//sm9e/eU/TU1NWnQoAFubm40atSIRo0a0bhxY9zd3fHw8KgVjXxRe2hpaTF79mzeeOMNxo8fT8OGDYu8fvLkSQYPHsynn35K//79OXLkCBMmTMDS0pKhQ4fSpk2bImtdXb58mZ49e/LMM88AcOTIEeV7QF5eHgMHDkRHR6fEWJKSkujSpQsjRoxg4cKFZGRk8PHHHzN48GB2795dRRkQ9V2FGg03b94s8jwnJ4dz584xd+5cpk6dWimB1WeZmZncuXOHiRMnEhMTw5w5cxg4cCAaGhokJiYCYGxsjLm5+WPLiIqKIisrk6GjR9HQyb7KYk3LKBjUZ2Tw5CU9jAwM+eSzT6u0joqqC3WUJX/aWipy88o/HW5ZJSc+YOtPG8rdn7e28PT0rOkQ6rz6nENjY2M8PT1LPcfMzEyioqK4desWN2/eJDIykhs3bnDp0iW2b99eZPE2KysrPDw88PT0pEmTJjRt2hQHBweys7PLfYdC1A+9evXC39+fmTNn8u233xZ57YsvvuCFF15Q1rPy9PQkPDycxYsXM3ToUHR1dbG3L/h7Hh8fz+jRoxk2bBjDhw8Hio6XmTRpEvfu3XvsgqzLly8nICCAzz77TNn27bff4ubmxtWrV+v177moOhVqNJiamhbb9vzzz6Orq8vUqVPZv3+/2oHVV/n5+axfv56vvvoKd3d3tm3bVqGZigAaNjBnwUeN0dWtusWEsnPy0dAAHe0nfxG+c9+MBnblf0uVp46Kqgt1lCV/+fn5aGpW3TmAKZ+MnUJsSu25g1UetaWLV132tOdQX18fDw8PPDw8Snw9JSWF69evc+3aNeVx5coVtm3bRlJSElCwWKa7uzve3t74+Pjg6+uLn58fHh4eaGtX6M+uqEPmzZtH586dmTx5cpHtly9fLraWVdu2bfnyyy/Jy8tTFgbMyclhwIABODs7s2TJkmLlf/vtt/z3v//l0KFDjx14f+7cOQ4cOFDixccbN25Io0FUSKV+etnY2HD9+vXKLLLeGTZsGD/++CO9evVizpw55ZrpQ6VSERkZiZubGwBWlkbo6mqxY996EhJjKz1WSwtbXnrhNYAy1WFpPZoDh7+p0joqoq7U8aT8uTo1oV3LblV2DvB/56GZWjdn+oiLi1MWnhQVIzksnampKUFBQcW6cKlUKmJjY9m8eTMaGhpcunSJS5cusWrVKu7fvw+Anp4ePj4++Pv7ExAQoDxKuhAn6q5nnnmGLl26MHXqVIYMGVLu48eNG0d0dDShoaHFGpkHDhxg4sSJrFu3jmbNmj22jNTUVHr06MHcuXOLvVZXx6yJmlehRsPFixeLPFepVNy7d4+lS5fi6+tbKYHVVzExMQBs3bqVf/75hw4dOtCuXTvatm1b6uAklUrFjBkzWLduHQsXLixyFSwhMZa4+DtVGndZ6jAySVMrjtpyHjVVx5PyZ2Fuq1b5T4OKrGQuipIcVoyGhgZ2dnYEBwfTsmXLIq89ePCA8+fPc+7cOc6dO8fZs2fZsGEDWVlZaGho4OnpSfPmzWnRogUtW7YkMDCwxqeOFeqZM2cOzZs3L3JFv2nTpsUmkgkNDcXT01O5y7BkyRI2bdrEoUOHsLKyKrLv9evXGThwIB9++CG9e/cutf7AwEC2bNmCq6ur3N0SlaZC76Rnn30WDQ2NYlPeNW/enGXLllVKYPXVv68oxcXFsXXrVmV6Uw8PD2V9hKysLGW/fzcYADIyMqox4rKLjPy8pkOo0yR/6nv0y5ooP8mhekrKn7W1Nc8//zzPP/+8si0nJ4fw8HBOnTrFyZMnOXHiBJs2bSIrKwtdXV0CAwNp37497du355lnnin2BVLUbn5+fgwePJivvvpK2TZp0iTatGnDnDlz6N+/P0ePHmX58uXK96a9e/fy0Ucf8eWXX2Jtba0MyjcwMEBXV5fevXsTEBDAW2+9VWTAfuE4iH8bM2YMa9as4fXXX+fdd9/F0tKSiIgIfv75Z1atWqU0UoQojwp1jj5z5gynT5/mzJkznDlzhrNnz3Lnzh127dpV5f3kVq9ejb+/Pw4ODnTq1ImTJ0+Wuv/WrVtp1aoVDg4OtGvXrtbNGpCbm6v8/9q1a2zbtg2AwYMH8+qrr7JixQo++eQTpcHw6FXAlNREcnKzqyS2nNxsUtNTylyHs/PEKq+jIupKHU/KX25eTpWeAxScR0pqYpWVX9We9HkgnkxyqJ6y5k9HR4dmzZoxbNgwli1bxtGjR0lJSeHEiRMsXLiQRo0a8csvv9C7d2+sra1p1qwZkyZNYseOHaSnp1fxWdQu1tbW1XrnRV9fv1KmJZ0xY0aRFcKDgoLYuHEjv/zyCwEBAcycOZMZM2YwdOhQAP755x/y8vIYN24cTk5OymPSpEncv3+fy5cvs2/fPpydnYu8XhJHR0cOHjxIXl4e3bp1IzAwkHfffRdzc/MqHhcn6jONhISEklfIqYU2b97M2LFjWbRoEcHBwaxcuZLff/+d48ePlzgY6NixY/To0YNp06bRtWtXNm3axJdffsn+/fvx9vYuU50pKSm4urqSnJxcKf1O+/Tpw5YtW8q0r4aGBhoaGkU+dDQ0NJg1axbNmjVj3pxR9Hg5gdzcqut/bmvdgISk2DLV4eb2MTdvFu8/WZl1VIRGnga2+g1IyI3FNiobq3iIt4I7DZ98bHmoex5Pyp+luR0pqVX78wbQ1tahc8d1tGw9oMzHnLyRQsT9DBrbGRDcqOb6Zx87dkzmyFdTbcvhqVOnCA4O5uTJk7VyKthHVXb+bt++zYEDB9i/fz979+4lKioKfX19OnXqRN++fenVq1epM+1VVEpKCmZmZkRGRlbbmIvs7GwePHiAi4tLsUZCVaxL9DjW1tZ1cvY4ISoiMzOTW7duYW1t/cRZ38rcPembb75h6NCh6Ovr8803pQ92HT16dFmLLZfly5czZMgQXnutYMDp4sWL2b17N+vXr2fixInF9v/mm2/o2LEj77zzDgCffPIJBw4cYPXq1SxevLhKYqxMKpXqsaueAujq5ZObm8OLz7+KpYVtpdefkBjL0VO7y1zHgyQr2gROrNI6yivlfDxXF51GlZlP+7g0fOP+7yp9wvBg4ic9Uyn1VMZ5PCl/d+7e5OCR36vs5w0F57Fz/wayspPLfMys327w1a7/m1t8fFcnPu1bMwNpZTVe9UkO1VPZ+XN2dmbIkCEMGTIElUrF5cuX+eOPP/j9998ZMWIEb7/9Nv369ePDDz+s12MKCxfeE0LUnDI3GlasWEH//v3R19dnxYoVj91PQ0OjShoN2dnZnD17Vlk5EQoW3unQoQMnTpwo8ZgTJ04wduzYItteeOEF/vzzz8fWk5WVVWQ8wcOHD9WMvHKpVCrOnj1LYmIi92MzOHcOjPUSMDWu3HpeeM4Ty3/NumhpYYutdemX5o2MtDEyqPjl+7LUUR552bmcXrIfVVY+Vunp+MYV7XZj+d+T6PZtS16QS6XVCRU/jyflLzklQa3yq8LJGylFGgwAX+2KonugdY3ccbCzs6v2OusbyaF6qjJ/GhoaeHl54eXlxXvvvcedO3dYunQpX331FevXrycyMhIXl8r9PBNCiEJlbjScOXOmxP9Xl/j4ePLy8op1Q7KxseHq1aslHhMbG4utbdErsra2tsTGPn66yiVLlhASElJse1hYGEZGRgQFBREeHk5GRgYmJia4ublx7tw5AFxcXMjPz1dWdAwICOD69eukpqZiZGSEp6cn3t7ebNmyhWbNmqGjo0PXrl2BgrsiXbt2RV9fn++++w5NTc0i3ZL+rXDgNMCVK7B5887Hnk9FTZ86htcG6GFt8xYWlhrEJ1liaKjLzeiCwXjODomkZegSn2QEgJ/nXc5dccTYMBtT40xsLFOJuF3QJ7ShfRJZ2drEJRS0bLzd7xFx25qsbG000EZLyxI3t5HcvtcILe1s8vI0uR9vAoBXo/vcvGNJZpYOhgbZONknceVmwc/U3iYFgHtxBV9Om7jFEnXPnPQMXfT1crDTjCQ3vaArj0l2yeMA7oTmkGJpQ2PnB1y6XjCYzMYyFT3dXKLvmQPQ2PkBcQnGpKTqo6OdR9NGsZy/WjBlnZV5GkYG2dy+54ut7Tgys/5LfFJD7ic4oKWZj7f7fS5esydfpYGFaTpmJplE3im4EunimMDDNH0Skg3R0FChUmmgpZVPXp4mZiYZWJmncSOqIIdODomkZbrg5vYxt+81wsYqiSuRNuTkaGNilImd1UOu3y743Whol0RWjhZxCQU59G58j4goK7KydTA2zMLBNplrkQU5dLRNJi9fg/sPCnJobXYPR8fhPEw14+LFi7i7uyu/705OTmhqanLr1i0AmjVrRmTEFcY1TyUhQ5PNlw14KzANgJu3onAytlEWgvTz8yMqKoqkpCT09PRo1qyZ0ti3t7fHyMiIiIiIgni9vbl37x4JCQno6OgQFBTEsWPHgILfXzMzM65duwYUzEby4MEDHjx4oPzOFP5rbW2NtbU1ly9fBgomGkhOTlZ+/1u1asWpU6fIycnB0tISe3t7Ll26VPAzb9yYtLQ0ZbBhixYtOHfuHFlZWZibm+Pk5MT58+cBcHNzIzs7mzt3Cma0Uvcz4vTp0wU/x4YN0dLSKprvyEhSUlLQ19fHx8dH6T/v6OiIvr4+N27cAMDX15fo6GiSkpLQ1dUlICCA48ePK/k2NjZWpsf28vLi/v37JCQkoK2tTW5urjLRhY2NDRYWFspnbJMmTUhISCAuLg5NTU1atGhBWFgYeXl5WFlZYWtrS3h4uJLvlJQUZbrRf+fbwsICR0dHZSa+xo0bk56ezt27d4GCSTUuXLhAZmYm0dHRAJw/f56cnBxcXV3Jzc1VtgcFBXH58mXS09MxNjamcePGnD17FkC5Mn379m0A/P39iYiIIDU1FUNDQ5o2bcqpU6eUfGtraxMZGam8Z2/fvk1ycjL6+vr4+voSFhYGFExZaWhoqLxnfXx8iImJITExkeTkZLp06aK8Z+3s7DA1NVXes15eXsTGxhIfH4+WlhbNmzfnxIkT5OfnY2Njg6WlJVeuXAEKFv9KTEwkLi4ODQ0NWrZsycmTJ4mOjiYsLIx9+/YRGhqKsbExAwYMIDMzU6m3ZcuWnDlzhuzsbMzNzWnYsCEXLlwAoFGjRmRmZiqz+QUHB3Px4kUyMzMxNTXF1dVVOVchhChUZ8Y03L17Fx8fH3bu3Flkdorp06fzzz//sGfPnmLH2NnZsXz5cvr27atsW7NmDSEhIcqH8qNKutPg5+dXI2MaHqdfv344Ozvzxx+r8PFJpZl3G4yNzNSO7d/at3UGUjl6ajdJyXFl6hJz+54vzvYXylVPYbeestZRHvnZeZwZfYC8zDys0tLp+v+/DPzb7XUDyWqm/pzVlXEeT8pfdXZPeuH5VTzz7Mgn7n/yRgovzT9dbPuODwNr5E5DbeuPXxfVthw+7WMaoODv0OHDh9mzZw9//fUXFy5cQEdHh06dOjF48GD69u2LoaFhpdZZ28Y0CCGqRpWMaShc9rws5syZU+Z9y8rKygotLS3i4uKKbI+Li3vs7eCS7iqUdPfh3/T09NDT01M/4Eri6empXIHLy8tDQ0MDf39/mjVrRujh9QQFZZGbe4TUrCeXVR47//+i3rbWDdDW1mHn/g1PPMbIyIvDoeHlrqs8dZSXQUsjHP5pSLyhIRdsLIp0UTrcDvZe/xkqaT1Cdc/jSfmzNLersjz9m7a2Dnq6ZWuEBjcyZXxXpyJdlCa86FRjg6Hd3d1rpN76RHKonsrI3/379zly5AiHDx/m77//5uTJk+Tl5dGgQQM6d+6sTO5hZla5F4uEEKI0ZW40FN6KL3T27Fny8vKUD8iIiAg0NTUJCAio1AAL6erq4u/vz6FDh+jevTsA+fn5HDx4kJEjS74i2qJFCw4dOsSYMWOUbQcOHKBFixZVEmNFaWpqKoOeLS0tSUhI4L333mPAgAFYWVnx4MEDBg0axO3bt8nLy1OOy8jQZsiAKWz+YxVJyXGl1FAx5mY2vPzim+Tn55WpDj29BqSlla/RUN46yivDLo2ENxLo3uYNdMx1+Wn1SvRuJVX67EmVcR5Pyp+5uQ29ur1VZT9vKDiPPt1HkZxR9n7Zn/ZtRPdA61oxe1JqaqrMZ68myaF6ypu/1NRUTp06RVhYGMePH+fYsWNKFyknJyfat2/PiBEjeO655/D09JTF94QQNabMjYbC9QMAvv76a4yNjVm+fLky1VtSUhLjx4+ndevWlR5kobFjxzJu3DgCAgIICgpi5cqVpKen8+qrrwIFi5k4ODjw6aefAgWzOPXs2ZOvvvqKLl26sHnzZs6cOcOSJUuqLMYnyf7/fesL+wwbGhrSrl07nnnmGdq1a8fDhw/p1atXkcV8rK2t+emnnxg0aJDSR7yQqbEFOtql306qKB1tXYwNTZX/P4mZWUsSEop3E6vMOipCR18Xm0aOACQ0NiLOPKny66iE83hS/rS1dKr05w0FsZsaW5BczvUDgxuZ1mhjodC9e/dkIKiaJIfqeVz+VCoV9+7d4+zZs5w9e1ZZ7+jq1auoVCoMDAwICgqid+/etG7dmjZt2jx2Dn4hhKgJFVoRevny5WzatKnI3NDm5uZ8/PHH9OvXj/Hjx1dWfEX06dOH+Ph45s2bR2xsLL6+vvz6669Kd6Po6Ogii5a0atWKVatWMXfuXD777DMaNWrEunXryrxGQ1VISCiYAadTp068/fbb+Pr6FlnivXCg2qMKGw4bN26kc+fOyuBCIYQQtUt8fDzh4eFcvHiRixcvcuHCBc6fP6+sM2BiYkKzZs3o3LkzH3zwAcHBwXh7exf5WyCEELVNhT6hHj58SHx8fLHt8fHxpKamqh1UaUaOHPnY7kjbt28vtq1Xr1706tWrSmMqj48//piePXuyZ88evLy8yjWvtrW1NRMmTAAo0mioqkGx/y63LHWkpvyAjVWDKq2jIupKHU/Kn5mJhVrll0VVll0d/j1JgqgYyWHZ5OTkcPPmTa5evcrVq1e5cuUKly9fJjw8XBl7p6WlhYeHBz4+PowfP55mzZrRrFkz3NzcZFVeIUSdU6FGQ/fu3Rk/fjyzZ89WZrM4efIk06dPp0ePHpUaYH3zwgsv8MMPP3D06FG++uorDh8+zJIlS2jYsPwd7OMT0sjOzuOlF16rgkgLZOfko6FBmeq4fNOGpm7l72tfnjoqqi7UUZb85efnV+k5AGRkZJOfr1OldVSVM2fOEBgYWK11Xrt2rcT1XExMTPDw8KjWWCrq3+eQkJCgLFBWl86hKiQnJ3Pz5k1u3rxJREQEN27cICIiguvXr3Pr1i1ljJmhoSGenp40adIELy8vXnjhBby8vPD09KxVE2sIURkuX77Mm2++ydmzZ2nSpIky9bOo/yrUaFi0aBGffvopo0aNIienYB58bW1tXn/9dWbOnFmpAdY3hoaG+Pj40K5dOzp06MDkyZPp3r07n332GT179ixXWdF3knh/XgQNneyrKFpIyyhYK8LI4MlXxdydrdm+P6VK66ioulBHWfKnraUiN6/qBkImJz5g608b+H1b1yqroyplP2Y9jqpy7do1PD09H/v61atXa/2X7kfP4eOPP2bu3LnK87pwDhWRnZ1NTEwMd+7cISoqSnncunVLeSQlJSn7Gxoa0rhxYxo3bkyfPn1wd3fHw8MDT09PHB0dlTsHtW3KWlE97t27x7x589ixYwd37tzB1tYWf39/3nnnHV544YVKq6djx474+/uzePHiSiuzvGbNmoWRkREXL17E2LjklWVHjBjBjz/+yMiRI1m+fHmR1yZMmMDKlSt54403+O6776ojZFFJKtRoMDQ0ZOHChcycOVOZ5cHV1RUjI6PKjK3e0tfX5+HDhzRu3JiNGzcyZ84cJk6cyN69e+nduzdQ0AUsMTERTU1NtLS0yMnJQVtbm/z8fFQqFVpaWujp67P2m1U1fDb/p3///vz66681HUadVVvyp6+vj7W1dU2HUSH/HmdVHZ60YnxtW1G+JI/GWLgI2eNer80yMzOJj4/nwYMHxMXFERcXR2xsLPfv3+fevXvcvXuXu3fvEhMTU2z6bhMTE5ycnHBxcaF169YMGjQIV1dX3NzccHNzw8bGpkwzF1X3e1DUvMjISDp06IC5uTnz58/H19eXnJwc/vrrL955553HjlWsSdnZ2U+ck/9xIiIi6Nat2xMnTHBycuKXX35h0aJFGBgYAAW/oz/99JOy8KKoW9QadWVkZISPj09lxfLUeHQg9o4dO/jxxx8ZN26ccpvvypUrhIaGsmDBgscu2nP1yhVlYF1l2b59O3fv3uWZZ54p97F5eXm88sorlRrP06S25M/c3FxZZbmuycjIIC0trdrqK1z9uKKv1waPxrhv375SX69u69atA2DhwoVYWVmRnp5OamoqDx8+JCUlhaSkJJKSkkhMTCQ9Pb3Y8QYGBtjZ2WFnZ4eDgwNt2rTB0dGRBg0a0LBhQ+XfylrzoCJdTUXlO3XzITdiM2hka0CQm0mV1jVhwgQ0NDQIDQ0tcvHUx8eH4cOHK8+TkpKYMmUK27dvJysri+DgYBYuXIi/vz9QcAX/999/Z9KkScyYMYPExERefPFFVq5ciYmJCSNGjODQoUMcOnSIZcuWAQWNfFdXVy5cuMCHH37I4cOHMTIyolOnTixatEi5ANSxY0d8fHzQ1tZmw4YN+Pr6lrgobn5+PnPnzmX16tXExcXRtGlT5s6dS9euBXefdXQKuq6eOnWKzz77jGnTpikzVj4qMDCQiIgItmzZosxyuWXLFpycnHBzcyuy765du5g7dy4XL15ES0uL1q1bs3jxYho3bgwUNHLee+89tmzZQmJiInZ2dowaNYoPPvgAlUrF7Nmz+f7777l//z5WVlb06dOHL774otw/S1G6CjcaTp8+zdatW4mOjla6KBX64Ycf1A7saaKhocGQIUNo27YtnTt3BmD27NkAvPnmm49dBdXZ2bnSW+tvvfUWp0+f5ptvvqnUcoV4Gr3++us1HUK5PTrJRW05h/3792Nra4uBgQEmJiYYGRnRuHFjzM3NMTc3x8LCAktLS6ysrLCxscHa2hobGxuMjY2rdW2DCxcuSPekGjZnSyRf776jPB/XuQGf9HatkroSEhLYtWsXs2fPLrG3xb/vPA0aNAgDAwO2b9+OmZkZ3377LV27duXSpUvKOKIbN26wbds2tm7dSlJSEoMHDyYkJITZs2ezZMkSrl27ho+PDzNmzADAxsaGpKQkunTpwogRI1i4cCEZGRl8/PHHDB48mN27dyv1//jjj4wePZqDBw8+9ny+/PJLlixZwvLlywkICOD777+nd+/enD17Fg8PD6KionjxxRfp0qULkydPfmz3pELDhg1j7dq1SqPh+++/Z+jQoRw6dKjIfmlpaUycOBE/Pz9SU1OZOXMm/fr14+TJk2hqavLVV1/xv//9j40bN+Lk5ERUVBTR0dEAbN68maVLl7J+/Xq8vb25d+8e586dKzUuUTEVajT89ttvjB07lhdeeIH9+/fz/PPPExERQWxsrLLwmig/d3d3QkND2bt3L0eOHOHHH3+kadOm1VZ/dnY2ly5dYvLkybz2WvkH254/fx4/P78qiOzpIPlTX3XnMDw8vNQv1evWrcPLy6va4qmIR89hxIgRRfoZ1/Q5ZGRkEBkZSdeuXetstzlRfU7dfFikwQDw9e47vBRgVSV3HK5fv45KpaJJkyal7nf48GFOnDhBTEyMMjg+JCSEbdu28dtvvymzQubn57NmzRpMTApife2119i3bx+zZ8/GzMwMXV1dDA0Nsbf/v7GMhV/wP/vsM2Xbt99+i5ubG1evXlXGLLm7uzN//vxS41yyZAnvv/8+AwcOBGDevHkcOHCAL7/8kmXLlmFvb4+WlhbGxsZFYnic1157jalTp3Lr1i0AQkNDWb9+fbFGQ58+fYo8//bbb3FwcODSpUv4+vpy+/Zt3N3dadeuHRoaGkW6Rt2+fRt7e3s6duyIjo4Ozs7OMgtcFalQo2HJkiXMmTOHt956C2dnZ+bNm4eLiwuTJk3Czq7sK8mK4hwcHHj99de5e/cu2traj+2aVBXOnDlDVlYWAwcOfOzdjdI4OTlhY2NTBZE9HSR/6qttOfTy8qrQ71JNCgsLK/K8NpxDu3btarT+8mjUqFFNh/BUuxFb8sqUN2IzqqTRoFKpyrTfuXPnSE1NLfYdKSMjgxs3bijPXV1dlQYDgL29fbHxNyWVfeDAgRLH09y4cUNpNDzp9zglJYWYmBjatm1bZHvbtm0rfOXexsaGbt268cMPP6BSqejWrVuJjf9r164xc+ZMjh8/zoMHD8jPL5hYJCoqCl9fX4YMGcJLL72Ej48PXbp0oXv37krPjH79+rFs2TI8PT3p0qULL730Ej169JB1T6pAhTIaGRlJly5dgIL+benp6WhoaDBmzBh69erFRx99VKlBiupx5MgR9PX1CQgIqNDxmZmZlRvQU0byp77qzuG//7hX5PXa4NEYLSwsSn1dlE5+j2tWI1uDcm1Xl4eHBxoaGly5cqXU/dLS0nBwcChxHMG/v+w/+kVXQ0ND+QL9OKmpqfTo0aPIrGeFHBwclP/X1GQ1w4YN4z//+Q9Q0P2pJL1798bZ2ZmVK1fi4OBAfn4+AQEByox4QUFBXLt2jZ07d7J3714GDx5Mx44d+fnnn3FycuLixYvs3buXPXv2MGHCBBYtWsS+ffuUMRiiclSo0WBmZqYs4ubg4EB4eDje3t4kJyeXOBBN1A2hoaE0b968wjMqxMTE4OTkVMlRPT0kf+qr7hx6eHhw9erVOr1Ow6PnEBcXp0znWFfOoTaR3+OaFeRmwrjODYp0URrfpUGVDYa2tLSkS5curFixgvHjxxf7Yp6UlIS5uTmBgYHcu3cPbW1tXF1dK1yfrq6usj5IocDAQLZs2YKrq6taV9dNTU1xdHQkNDSUZ599VtkeGhpKixYtKlxu165dyc7ORkNDQ7ng/G/x8fFcuXKFlStX0r59e6CgO1dJ8Q0YMIABAwbQt29funfvrqwrY2BgQI8ePejRowdjxozB19eX8+fP1/hd0vqmQu+utm3bsn//fry9vXnllVf46KOPOHToEAcOHKBDhw6VHaOoJqGhocpgJSFE2dSHL9X/Podjx47JH1pRp33S25WXAqyqbfakL7/8kg4dOtC2bVumT5+On58fubm57Nmzh1WrVnH+/Hk6duxI69at6du3L/Pnz8fDw4OYmBh27NjBK6+8QvPmzctUl4uLC8ePHycyMhJjY2MsLS0ZM2YMa9as4fXXX+fdd9/F0tKSiIgIfv75Z1atWoWWllaZz2Xy5MnMmjWLRo0a4e/vz9q1azl79qxaE9xoaWlx/vx55f+PsrCwwMrKim+//RZ7e3uioqL4+OOPi+yzZMkSHBwcCAgIQFNTk02bNmFvb4+5uTlr164lLy+Pli1bYmhoyIYNGzAwMHjilLCi/CrUaAgJCVFuwb777rvo6Ohw/PhxevbsyXvvvVepAYrqUTgTwaN9GcsjODi4EiN6+kj+1Cc5VJ/kUD2Sv9ohyM2kyhsLhRo1asTx48eZN28eU6ZM4e7du9jY2BAUFMRXX30FFHQz2r59O9OmTeOtt94iLi4Oe3t72rdvX66xoJMnT2bEiBE0a9aMjIwMZcrVgwcP8vHHH9OtWzeysrJwcXGhS5cuyqKDZTVhwgRSUlKYMmUKsbGxeHl5sWXLFrUvjpiamj72NU1NTdavX8+kSZMICAjA09OTL774go4dOyr7mJiYsHDhQq5fv46WlhbNmzdn27ZtaGpqYm5uTkhICO+//z55eXn4+vqydetWrKys1IpZFKeRkJBQtlE8ZZSRkaEs4lEfpKSk4OrqSnJycqlv+sq2YMEC5s2bR0JCQrXU9/PPPzNo0CDu37+Pra1thco4e/asMt+0KD/Jn/okh+qTHKqnvuQvJSUFMzMzIiMjq+1vX3Z2Ng8ePMDFxQV9ff1qqVOIp11mZia3bt3C2tr6id3Ty9cELUVWVhZff/01gYGBlVWkqEahoaG4u7tXuMEAMgBQXZI/9UkO1Sc5VI/kTwhRX5Wr0ZCVlcWsWbN44YUX6Nq1K3/88QcA69evJzAwkBUrVjBmzJgqCVRUrSNHjtCmTRu1yqjOOzH1keRPfZJD9UkO1SP5E0LUV+Ua0zBv3jy+//57OnTowIkTJxg+fDivvvoqYWFhzJ49m169epVrwI2oHdLT0zl9+jQjRoxQqxx1ZoQQkr/KIDlUn+RQPZI/IUR9Va47Db///jsrVqxg7dq1bNq0iby8PHJzc/n777/p27evNBjqqLCwMHJzc9UaBA3Isu1qkvypT3KoPsmheiR/Qoj6qlyNhpiYGGWAl7e3N3p6eowdOxYNDY0qCU5Uj9DQUExMTPDx8anpUIQQQgghRC1UrkZDXl5ekZHV2traNbbCoKg8oaGhtG7dWu07RTInsnokf+qTHKpPcqgeyZ8Qor4q15gGlUrFuHHj0NPTAwpmiZg8eXKxhoM6i4CI6qVSqThy5Ahjx45Vu6xHV6kU5SP5U5/kUH2SQ/VI/oQQ9VW57jQMGjQIa2trTExMMDExoX///tjb2yvPCx+i7rh+/ToPHjxQezwDQHR0dCVE9PSS/KlPcqg+yaF6JH9CiPqqXHcavv7666qKQ9SQ0NBQNDQ0aNWqVU2HIoQQQgghaqlKW9ytqiUmJjJq1CicnZ1xdXVlwoQJpKamlrr/Bx98QMuWLXF0dMTPz48PP/yQlJSUaoy69gsNDcXHxwdzc3O1y5KF/dQj+VOf5FB9kkP1SP5EVVu7di3W1tY1HUadkZ6ezoABA7C0tERHR4ekpKSaDqnOqjONhlGjRnH58mU2b97MTz/9xJEjR5g0adJj97979y53795l1qxZ/PPPP3z99dfs3buXCRMmVGPUtV9oaGildE0CuHr1aqWU87SS/KlPcqg+yaF6JH9Pn7i4OMaNG0ejRo0wMjKiYcOGdOvWjX/++UfZR0dHh99//73cZbu7u7N06dIi2wYMGMClS5fUijk7O5uFCxcSFBSEqakp9vb2PPvss3z//ffk5OSoVfa/zZo1i+Dg4EorryJ++OEHDh8+zKFDh4iKisLMzKzYPmvXrkVHRwcdHR10dXVxdXXlzTffJDY2tgYirr3K1T2pply5coW9e/eyd+9e5SrO/PnzGThwILNmzcLBwaHYMd7e3kUGZLu5ufHJJ5/w9ttvk5ubi7Z2nTj1KpWcnMzFixd57733KqW8tLS0SinnaSX5U5/kUH2SQ/VI/p4+AwYMIDs7m++++w43Nzfu37/P/v37SUhIqJL6DAwMMDAwqPDx2dnZdOvWjXPnzjFjxgzatm2Lqakpx44dY/HixQQEBBAQEFB5AVeC7OzsIrN3lseNGzdo2rQpvr6+pe5namrKxYsXyc/P59y5c7z11lvcvXuXP//8s9i+eXl5aGhooKlZe669V0dMtedsS3HixAnMzMyK3PZ97rnn0NTU5OTJk2UuJyUlBRMTk1IbDFlZWaSkpCiPhw8fqhV7bXbs2DFUKhVt2rSplPKMjY0rpZynleRPfZJD9UkO1SP5qyWOHUNj3To4dqxKq0lKSuLw4cPMmzeP5557DhcXF1q2bMkHH3xAz549gYK7BQD9+vVDR0dHeR4REUGfPn1o0KAB5ubmtG7dmr179ypld+zYkVu3bvHee+8pV8Gh5O5J//vf/2jdujXGxsbY29vTr1+/x8b85Zdf8vfff7Nr1y7Gjh1LQEAAjRo1YvDgwYSGhuLh4QFAfn4+n3/+OR4eHpiYmBAUFMRvv/2mlHPw4EF0dHTYt28frVq1wtTUlGeeeYYrV64occ6ePZtz584p8a9du1bJ26hRo3BwcMDS0pLOnTtz9uxZpezCOxRr1qzBw8Oj1N+rzZs34+/vj5GREe7u7ixZsqRIDpcsWcLff/+Njo4OHTt2fGw5Ghoa2Nvb4+joyIsvvsj48ePZu3cvGRkZSs63b99Os2bNMDIy4vbt22RlZTFlyhRcXFwwMzOjbdu2HDx4UCnz1q1b9OrVCxsbG8zMzPD392fHjh1AQTf6N954AwcHB0xMTPDy8uL7778vktt/d6U6c+YMOjo6REZGKvmtSEzqqBOX22NjY7GxsSmyTVtbGwsLizLfOoqPj2fhwoUMHTq01P2WLFlCSEhIse1hYWEYGRkRFBREeHg4GRkZmJiY4ObmpqwA6uLiQn5+PlFRUQAEBARw/fp1UlNTMTIywtPTk9OnTwPQsGFDtLS0uHXrFgDNmjUjMjKSlJQU9PX1yc/PJy8vj2PHjuHo6Ii+vj43btwAwNfXl+joaJKSktDV1SUgIIDjx48DYG9vj7GxMdevXwfAy8uL+/fvk5CQgLa2NsHBwRw/fhyVSsUff/yBpaUlCQkJHDt2jCZNmpCQkEBcXByampq0aNGCsLAw8vLysLKywtbWlvDwcAA8PDxISUnh/v37ALRq1YqMjAyOHTuGhYUFjo6OXLx4EYDGjRuTnp7O3bt3AWjevDkXLlwgMzMTMzMznJ2dOX/+PACurq7k5uYqM5AEBQVx+fJl0tPTMTY2pnHjxsoHi7OzMwC3b98GwN/fn4iICFJTUzE0NKRp06acOnVKybe2trbyy+bn58ft27dJTk5GX18fX19fwsLCAHBwcMDQ0JCIiAgAfHx8iImJITExER0dHYKCgjj2//8Q2dnZYWpqyrVr15R8x8bGEh8fj5aWFs2bN+fEiRPk5+djY2ODpaWl8oHq6elJYmIicXFxaGho4O/vz8mTJ8nNzcXS0hI7Ozsl3+7u7qSmpnLv3j0AWrZsyZkzZ8jOzsbc3JyGDRty4cIFABo1akRmZiYxMTEABAcHc/HiRTIzMzE1NcXV1bXIezYvL0/Jd2BgIFevXiUtLQ1jY2Pc3d05c+YMAE5OTmhqahZ5z968eZOHDx9iYGCAl5eXku8GDRqgq6vLzZs3lXxHRUWRlJSEnp4ezZo148SJE8p71sjISMm3t7c39+7dIyEhoVi+bW1tMTMzU/LdtGlTHjx4wIMHD9DU1FTKzc/Px9raGmtray5fvqy8Z5OTk5XPjFatWnHq1ClycnKwtLTE3t5eueXfuHFj0tLSlHy3aNGCc+fOkZWVhbm5OU5OTsp71s3NjezsbO7cuaO8Z6vjM8LHx0e5aFKZnxG+vr7KZ4SNjQ0WFhZKlxt1PyMK812fPyMK17upis+Ili1bVttnROG51kWaH32E5sKFyvP8994jf968KqnL2NgYY2Njfv/9d1q1aqVMSf9vR44cwdHRkdWrV9O1a1flPZKamsqLL77IrFmz0NPTY926dfTq1YuLFy/i7OzMr7/+SnBwMG+99RZvvvnmY2P4888/6devHx999BH//e9/yc7OZufOnY/df8OGDXTs2LHE8Tf/bpx8/vnnbNiwga+//hp3d3f+/vtvhg4dio2NDc8++6xyzLRp01iwYAHW1taMGzeOkSNHcujQIQYMGMDFixf566+/lHgKuwYNGjQIAwMDtm/fjpmZGd9++y1du3bl0qVLWFpaAgWNqi1btvDLL788dh2pkydPMnjwYD799FP69+/PkSNHmDBhApaWlgwdOpRff/2Vjz/+mIsXL/Lrr7+W625F4Xex3NxcoGBsxIIFC1i5cqXyeffOO+8QHh7O+vXrcXBw4Pfff6d79+6cPn0aDw8P3nnnHbKzs9m3bx9GRkaEh4crDaDp06cTHh7O9u3bsba2JiIigoyMjDLHV9GY1JKQkKCqqcd//vMfFVDq4+jRo6qpU6eq3N3dix1vbW2tWrhw4RPriYyMVAUFBak6duyoun//fqn73r17VxUZGak8zp8/rwJUycnJquoUEhKisrCwqNI6OnfurOrZs2ellXf06NFKK+tpJPlTn+RQfZJD9dSX/CUnJ6sAVWRkZLV9J7h3757qwoULqocPH6pycnIq9jh8WKWCYo+cw4crXuYTHj///LPKwsJCpa+vr2rTpo3qgw8+UJ08ebLIPoBq06ZNTyzLx8dH9cUXXyjPXVxcVAsXLiyyz+rVq1VmZmbK89atW6sGDx5c5ngNDAxU48ePL3Wf1NRUlaGhoerQoUNFtg8fPlw1aNAgVU5OjmrPnj0qQLVr1y7l9W3btqkA5Wc4bdo0VbNmzYqUsX//fpWpqakqNTW1yPbGjRurli9frhyno6OjiomJKTXOQYMGqTp16lRk27vvvqvy9vZWnk+YMEH17LPPllrOozm9dOmSytPTUxUcHKy8DqjCwsKUfSIiIlRaWlqqW7duFSnrhRdeUH3wwQeqnJwcla+vr+rTTz8tsc4ePXqohg4dWuJrhbmNi4tTtp04cUIFqK5du6ZWTI8+Hj58qLpw4YLq3r17T/wdrdE7DePGjWPw4MGl7uPq6oqtrS1xcXFFtufm5pKYmIitrW2pxz98+JD+/ftjYmLCjz/+qLSgH0dPT6/EKwX1TV5eHkePHuXjjz+u6VCEEEKISqHx/+/olLRdVUVTi/fp04du3bpx+PBhjh07xs6dO1m4cCHffPNNqb0bUlNTmTVrFjt27ODu3bvk5uaSkZGh3Iksq7Nnz5Z6J+JRKpXqiftcv36d9PR0XnrppSLbs7Ozi4138PPzU/5vb28PFPQQKbzT96hz586RmpqKnZ1dke0ZGRnK3VIouDP7aC+TR12+fJmXX365yLa2bdvy5ZdfkpeX99g7FCVJTk7G3Nyc/Px8MjMzadeuHd98843yuq6uLs2aNVOeX7hwgby8PLy9vYuUk5WVhZWVFQDjx49n/Pjx7N69m44dO9K7d2+ljNGjRzNgwABOnz5N586defnll8s9MU1FYlJHjTYaCrsPPEmLFi1ITk7mzJkzypv10KFD5OfnlzoqPyUlhX79+qGnp8f69evR19evrNCrRXp6OpMnT66SsgvHa1TWzElQ0H1FVJzkT32SQ/VJDtUj+atZqsd0v3jc9sqir69Pp06d6NSpE5988gmjRo1i1qxZpTYapkyZwt69e/n8889p3LgxBgYGDBw4kOzs7HLVXd5B0R4eHkoXuMcpnNJ+27ZtODo6Fnnt0Qur/74Yq6GhARSMh3ictLQ0HBwc2LNnT7HX/j39u6GhYakxVjYTExOOHz+OpqYmDg4OxfJqYGCgnB8U5EhLS4tjx44Va5wUdkF688036dKlC3/++Sd79uzh888/JyQkhPHjx/Piiy8SERHBjh072LNnD127dmXMmDGEhIQog5n/3cDLKWFWq4rEpI46MaahSZMmdOzYkYkTJ7Jo0SJycnL44IMP6NOnjzJzUkxMDL1792b58uUEBweTkpJC3759ycjI4JtvvuHhw4fKoGZra+tytT5rQvPmzfHw8Ci1X6K6nn32WVq0aFFp5dWmWQTqIsmf+iSH6pMcqkfyV8NatSL/vfeKjml4/32o5gVMvby82LZtm/JcR0eHvLy8IvuEhoYyZMgQevXqBRR84Sscw1RIV1e31C/gUHClf9++fQwbNqxMsQ0ePJipU6dy+vTpYuMacnJyyM7OxtvbGz09PW7fvl1k/EJ56erqFjvvwMBA7t27h7a2Nq6urhUuGwrGtYWGhhbZFhoaiqenZ7m/52lqaiqD1MsiICCAvLw84uLiaN++/WP3c3JyYvTo0YwePZpPPvmENWvWMH78eABsbGwYMmQIQ4YMYdWqVXz44YeEhIQoF9Tv3r2LhYUFQJGB4urGVFF1otEAsGrVKqZMmULv3r3R0NCgZ8+ezJ8/X3k9NzeXa9euKYNIzp07pwwSfPRuxJkzZx5726y2eP7555WBf3XFrVu3lFuTovwkf+qTHKpPcqgeyV/Ny583j/xevQq6JHl4VGmDIT4+nkGDBjFs2DD8/PwwMTHh5MmTLFq0SJk9CQq6Wu/bt4+2bduip6eHhYUFHh4ebNmyhe7du6OhocGMGTOKNRBcXFz4+++/GTBgAHp6eiX2zpg2bRpdunShcePGDBgwgNzcXHbu3Mn7779fYszvvPMOf/75J127dmXGjBm0a9dOiXvBggWsWrWKgIAAJk+ezHvvvUd+fj7t2rUjOTmZ0NBQTE1NGTJkSJny4+LiQmRkJGfOnKFhw4aYmJjQsWNHWrduTd++fZk/fz4eHh7ExMSwY8cOXnnlFZo3b17m/E+aNIk2bdowZ84c+vfvz9GjR1m+fDnLli0rcxkV5enpyeDBgxk+fDghISEEBAQQFxfH/v378fPzo1u3bkyePJkXX3wRDw8PEhMTOXDgAF5eXgDMmDGDoKAgvL29ycrK4s8//6Rp06ZAwcQGTk5OzJ49m1mzZnHt2jW++OKLSolJHXWm0WBhYcG333772NednZ2LzIncvn37KpsjWQghhBC1WKtWVTaG4d+MjY1p2bIlS5cu5caNG+Tk5ODk5MSbb77Jhx9+qOwXEhLC+++/z5o1a2jQoAHXr19nwYIFjBw5kmeffRZra2vee+89UlJSipQ/ffp0xo4dS5MmTcjKyiqxi0qHDh346aefmDNnDiEhIcrUp4+jp6fHzp07Wbp0Kd9++y0ffPCBMpvY+PHjlfUMZs6cibW1NSEhIdy4cQNzc3MCAwOLnNeT9OnTh61bt9K5c2eSkpJYvXo1Q4cOZfv27UybNo233nqLuLg47O3tad++fbFxDk8SFBTExo0bmTlzJnPmzMHBwYEZM2Y8cabMyrJmzRrmzp3LlClTuHPnDtbW1rRq1Ur5cp6Xl8c777xDdHQ0pqamdOnShUWLFgEFd2GmTp1KZGQkBgYGtG/fnvXr1wMFd6Z+/PFHxo8fT1BQEM2bN2fmzJkMGjRI7ZjUoZGQkPDkETFPsZSUFFxdXUlOTsbU1LSmw6nVMjIy1Fpw5mkn+VOf5FB9kkP11Jf8paSkYGZmRmRkZLX97cvOzubBgwe4uLjUuTGIQtRVmZmZ3Lp1C2tr6ydOSSudL0WlKZyTX1SM5E99kkP1SQ7VI/kTQtRX0mgQlaY+r55dHSR/6pMcqk9yqB7JnxCivpJGg6g09eGWfE2S/KlPcqg+yaF6JH9CiPpKGg2i0hTOCCAqRvKnPsmh+iSH6pH8CSHqK2k0iEpz6tSpmg6hTpP8qU9yqD7JoXokfxVXuEhVWVYsFkJUjvL8vtWZKVdrSmEyH50GTRSXlpYmeVKD5E99kkP1SQ7VU1/yV3gO1fkFXlu74CvJ3bt3yzSTixBCPSqVSlmeoPD3rzTSaHiCwqXUnZycajgSIYQQonqlpqZiZmZWLXVpaGhga2tLYmIiMTExyp0HIUTVsrS0LNNq9rJOwxPk5+dz9+5djI2N5QOsFA8fPsTPz4/z589jYmJS0+HUOZI/9UkO1Sc5VE99yp9KpSI1NRUHB4cyfZmo7Lrz8/PJy8ur1nqFeBppa2uX+Xdc7jQ8gaamJg0aNKjpMOoMExMTWQRPDZI/9UkO1Sc5VE99yV913WF4lIaGBlpaWmhpadVI/UKIkslAaCGEEEIIIUSppNEghBBCCCGEKJU0GkSl0NPTY8qUKejp6dV0KHWS5E99kkP1SQ7VI/kTQtRnMhBaCCGEEEIIUSq50yCEEEIIIYQolTQahBBCCCGEEKWSRoMQQgghhBCiVNJoEEIIIYQQQpRKGg2iwhYtWkTXrl1p0KABrq6uZTpGpVIxd+5cvLy8cHR0pHfv3kRERFRtoLVUYmIio0aNwtnZGVdXVyZMmEBqamqpx/Ts2RNLS8sij8mTJ1dTxDVv9erV+Pv74+DgQKdOnTh58mSp+2/dupVWrVrh4OBAu3bt2L17dzVFWjuVJ38bNmwo9l5zcHCoxmhrn9DQUAYPHoy3tzeWlpb88ccfTzzm8OHDPPfcc9jb2xMcHMyGDRuqIVIhhKh80mgQFZadnc0rr7zC8OHDy3zMl19+yapVq1i0aBG7d+/G0NCQfv36kZmZWYWR1k6jRo3i8uXLbN68mZ9++okjR44wadKkJx43ZMgQwsPDlceMGTOqPthaYPPmzUydOpUpU6awf/9+fH196devH3FxcSXuf+zYMUaOHMlrr73GgQMH6NatG6+//jqXLl2q5shrh/LmDwpWNv73e+3s2bPVGHHtk5aWhq+vLyEhIWXa/9atWwwaNIj27dtz8OBB3n77bf7zn/+wd+/eKo5UCCEqn0y5KtS2YcMGPv74YyIjI0vdT6VS4e3tzdixY5kwYQIAKSkpNGnShK+++oq+fftWQ7S1w5UrV2jTpg179+4lMDAQgD179jBw4EAuXLjw2Cu6PXv2xNfXl3nz5lVnuLVCp06dCAoKUr6w5efn4+fnx8iRI5k4cWKx/UeMGEF6ejo//fSTsq1z5874+fmxePHi6gq71ihv/sr6e/20srS05Mcff6R79+6P3WfGjBn89ddfhIaGKtvefPNNkpOT2bRpU3WEKYQQlUbuNIhqc+vWLe7fv89zzz2nbDM1NSU4OJgTJ07UXGA14MSJE5iZmSkNBoDnnnsOTU3NJ3a52bRpE+7u7rRt25ZZs2aRnp5e1eHWuOzsbM6ePUuHDh2UbZqamnTo0OGx750TJ04U2R/ghRdeeOrea1Cx/EHBlfVmzZrh6+vLa6+9Rnh4eHWEW2/Ie1AIUZ9o13QA4ulx//59AGxsbIpst7GxITY2tiZCqjGxsbHF8qCtrY2FhUWpuejbty9OTk44ODhw8eJFZsyYwfXr1/nhhx+qOuQaFR8fT15eXonvnatXr5Z4TGxsLLa2tkW22draPnXvNahY/tzd3Vm2bBk+Pj6kpKTw1Vdf8eKLLxIaGkqDBg2qI+w673HvwYcPH5KRkYGBgUENRSaEEOUnjQZRxMyZM1m6dGmp+xw9ehRPT89qiqhuKWv+KmrYsGHK/729vbGzs6NXr17cvHkTNze3CpcrxKNatmxJy5Ytizxv3bo133//PZ988kkNRiaEEKImSKNBFDFu3DgGDx5c6j5lnSnpUXZ2dgDExcVhb2+vbI+Li8PX17dCZdY2Zc2fra1tsQGoubm5JCYmFrsyWZrg4GAAbty4Ua8bDVZWVmhpaRXLWVxcnPK+elRJdxVKuvL7NKhI/h6lo6ODn58fN2/erIoQ66XHvQdNTEzkLoMQos6RRoMowtraGmtr6yop28XFBTs7Ow4ePIifnx9QMBD65MmT5ZqBqTYra/5atGhBcnIyZ86cISAgAIBDhw6Rn5+vNATK4vz58wBFGmH1ka6uLv7+/hw6dEgZeJqfn8/BgwcZOXJkice0aNGCQ4cOMWbMGGXbgQMHaNGiRbXEXJtUJH+PysvLIzw8nE6dOlVlqPVKixYtik3z+7S+B4UQdZ8MhBYVFh0dzfnz54mOjiY/P5/z589z/vz5ImsNtGrViv/9738AaGho8Pbbb7No0SJ27NjBpUuXGDt2LPb29qXOQFIfNWnShI4dOzJx4kROnjzJ0aNH+eCDD+jTp48yc1JMTAytWrVSBkbfvHmTBQsWcObMGW7fvs2OHTsYO3Ysbdu2xcfHpyZPp1qMHTuWH374gY0bN3LlyhXeffdd0tPTefXVVwEYM2YMs2bNUvYfPXo0e/fu5auvvuLq1avMnz+fM2fO8NZbb9XUKdSo8uYvJCSEffv2ERkZydmzZxk9ejRRUVG88cYbNXUKNS41NVX5nIOCyR0KPwMBZs2aVaSROnz4cG7dusX06dO5evUqa9asYevWrUX2EUKIukLuNIgKmzdvHhs3blSeF84Ssm3bNtq3bw/AtWvXSElJUfZ55513SEtLY9KkSSQnJ9O6dWt+/fVX9PX1qzf4WmDVqlVMmTKF3r17o6GhQc+ePZk/f77yem5uLteuXSMjIwMo6B5y8OBBVq5cSXp6Og0aNKBnz568++67NXUK1apPnz7Ex8czb948YmNj8fX15ddff1W6G0VHR6Op+X/XQVq1asWqVauYO3cun332GY0aNWLdunV4e3vX1CnUqPLmLykpiYkTJxIbG4u5uTn+/v7s3LmTpk2b1tQp1LgzZ87w8ssvK8+nTp0KwODBg/n666+5f/++0oCAgrurP/30E5988gnffPMNjo6OLF26lI4dO1Z77EIIoS5Zp0EIIYQQQghRKumeJIQQQgghhCiVNBqEEEIIIYQQpZJGgxBCCCGEEKJU0mgQQgghhBBClEoaDUIIIYQQQohSSaNBCCGEEEIIUSppNAghhBBCCCFKJY0GIYQQQgghRKmk0SCEqBKHDx/G0tKS5OTkUvfz9/dnxYoV1RLT22+/zeLFi9UqY8+ePTz77LPk5+dXUlRCCCFE7SeNBiGeYuPGjcPS0hJLS0vs7OwIDg4mJCSE3Nxctctu2bIl4eHhmJqaArBhwwZcXV2L7bd3716GDh2qdn1PcuHCBXbv3s2oUaPUKqdTp07o6Ojw66+/VlJkQgghRO0njQYhnnIdO3YkPDycsLAwxo0bx+eff86yZcvULldXVxc7Ozs0NDRK3c/a2hpDQ0O163uSVatW8corr2BsbKx2WYMHD2bVqlWVEJUQQghRN0ijQYinnJ6eHnZ2djg5OTFixAg6dOjAjh07AEhKSmLMmDG4ubnRoEED+vfvT0REhHJsVFQUgwcPxs3NjYYNG9KmTRt2794NFO2edPjwYcaPH09KSopyZ2P+/PlA8e5J0dHRvPbaazg5OeHs7Mzw4cOJjY1VXp8/fz7PPvssP//8M/7+/ri4uPDmm2/y8OHDx55jXl4e27Zt48UXXyyy3d/fn4ULFzJmzBicnJxo1qwZO3bs4MGDB0oM7du35/Tp00WOe/HFFzl9+jQ3b96sYNaFEEKIukUaDUKIIgwMDMjJyQEKui+dPn2aDRs2sGvXLlQqFQMHDlRef//998nKyuKPP/7g8OHDzJgxAyMjo2JltmzZkrlz52JiYkJ4eDjh4eGMHz++2H75+fm89tprJCYmsn37djZv3sytW7d48803i+wXGRnJH3/8wcaNG/npp58IDQ1l6dKljz2nixcvkpKSQkBAQLHXVqxYQatWrThw4ABdunTh7bffZsyYMfTv35/9+/fj5ubGmDFjUKlUyjENGzbE1taWI0eOlCmnQgghRF2nXdMBCCFqB5VKxcGDB9m3bx8jR44kIiKCHTt2sGPHDlq1agUUdPHx8/Pjjz/+oFevXkRHR9OzZ0+8vb0BShyzAAVdlUxNTdHQ0MDOzu6xMRw8eJBLly5x+vRpGjZsCMDy5ctp27Ytp06dIigoCChoXHz99deYmJgAMGDAAA4ePMjUqVNLLDcqKgotLS1sbGyKvda5c2eGDRsGFDSCvvvuOwIDA+nVqxcA77zzDl27diU2NrZI7Pb29kRFRT32XIQQQoj6RO40CPGU27VrF05OTjg4ODBgwAB69+7NBx98wNWrV9HW1qZ58+bKvpaWlri7u3P16lUARo0axaJFi3jxxReZN28eFy9eVCuWq1ev0qBBA6XBANC0aVPMzMyUOgGcnJyUBgOAnZ0dDx48eGy5mZmZ6OnplTi+orDBA2Bra/vYbY+Wr6+vT0ZGRllPTQghhKjTpNEgxFOuffv2HDx4kLCwMGJiYli+fHmJXYxKMmTIEE6dOsXAgQMJDw/nhRdeqJYBwjo6OkWea2holDoFqqWlJenp6WRnZ5daVmGjoqRtj5afmJiIlZVV+YMXQggh6iBpNAjxlDMyMqJRo0Y0bNgQbe3/67Ho6elJbm4uYWFhyraEhASuX79OkyZNlG0NGzZk+PDh/PDDD4wbN44ffvihxHp0dXWfuLaBp6cnd+7cITo6Wtl2+fJlkpOTi9RZXn5+fgBcuXKlwmX8W2ZmJpGRkTRr1qxSyhNCCCFqO2k0CCFK1LhxY7p168bEiRM5evQoFy5cYPTo0Tg4ONCtWzcAPvroI/bu3cutW7c4e/Ysf//9N56eniWW5+TkRGpqKgcPHiQ+Pp709PRi+zz33HN4e3szevRozp49y8mTJxk7dizt2rUjMDCwwudibW2Nv78/R48erXAZ/xYWFoaenh4tWrSolPKEEEKI2k4aDUKIx/rqq68ICAhg0KBBdO3aFZVKxc8//6x038nPz2fKlCm0bt2a/v374+7uzsKFC0ssq1WrVgwfPpw333wTDw8Pvvzyy2L7aGhosH79eszNzenRowe9e/fGxcWFNWvWqH0ub7zxRqUtyPbbb7/Rr1+/allfQgghhKgNNBISElRP3k0IIeq2jIwMWrZsyZo1a2jZsmWFy4mPj6dly5bs27cPFxeXSoxQCCGEqL3kToMQ4qlgYGDAihUrSEhIUKuc27dvs2DBAmkwCCGEeKrInQYhhBBCCCFEqeROgxBCCCGEEKJU0mgQQgghhBBClEoaDUIIIYQQQohSSaNBCCGEEEIIUSppNAghhBBCCCFKJY0GIYQQQgghRKmk0SCEEEIIIYQolTQahBBCCCGEEKWSRoMQQgghhBCiVP8PVLnlKv/zhbMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "CAMOES.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Air Brakes - Active Control Systems" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For privacy reasons, the controller function is not the one developed and used by the team. \n", + "\n", + "The controller function just describes the actuation with time of the algorithm developed by the team. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "\n", + "def controller_function(\n", + " time, sampling_rate, state, state_history, observed_variables, air_brakes\n", + "):\n", + " new_deployment_level = 0\n", + "\n", + " if time <= 11.4:\n", + " new_deployment_level = 1\n", + " else:\n", + " new_deployment_level = (\n", + " -0.002906 * np.power(time, 3)\n", + " + 0.1497 * np.power(time, 2)\n", + " + -2.563 * time\n", + " + 14.96\n", + " )\n", + "\n", + " if time > 19.6:\n", + " new_deployment_level = 0\n", + "\n", + " if time < 3.8:\n", + " new_deployment_level = 0\n", + "\n", + " air_brakes.deployment_level = new_deployment_level\n", + "\n", + " return time, air_brakes.deployment_level" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "air_brakes = CAMOES.add_air_brakes(\n", + " drag_coefficient_curve=[\n", + " # Mach 0.1\n", + " [0, 0.1, 0.7692],\n", + " [10 / 100, 0.1, 0.7663],\n", + " [20 / 100, 0.1, 0.7762],\n", + " [30 / 100, 0.1, 0.7847],\n", + " [40 / 100, 0.1, 0.7999],\n", + " [50 / 100, 0.1, 0.8246],\n", + " [60 / 100, 0.1, 0.8310],\n", + " [70 / 100, 0.1, 0.8499],\n", + " [80 / 100, 0.1, 0.8738],\n", + " [90 / 100, 0.1, 0.8945],\n", + " [100 / 100, 0.1, 1.1018],\n", + " # Mach 0.2\n", + " [0, 0.2, 0.7508],\n", + " [10 / 100, 0.2, 0.7513],\n", + " [20 / 100, 0.2, 0.7670],\n", + " [30 / 100, 0.2, 0.7782],\n", + " [40 / 100, 0.2, 0.7943],\n", + " [50 / 100, 0.2, 0.8063],\n", + " [60 / 100, 0.2, 0.8243],\n", + " [70 / 100, 0.2, 0.8493],\n", + " [80 / 100, 0.2, 0.8781],\n", + " [90 / 100, 0.2, 0.8925],\n", + " [100 / 100, 0.2, 0.9851],\n", + " # Mach 0.3\n", + " [0, 0.3, 0.7445],\n", + " [10 / 100, 0.3, 0.7571],\n", + " [20 / 100, 0.3, 0.7699],\n", + " [30 / 100, 0.3, 0.7828],\n", + " [40 / 100, 0.3, 0.7985],\n", + " [50 / 100, 0.3, 0.8114],\n", + " [60 / 100, 0.3, 0.8379],\n", + " [70 / 100, 0.3, 0.8634],\n", + " [80 / 100, 0.3, 0.8834],\n", + " [90 / 100, 0.3, 0.8947],\n", + " [100 / 100, 0.3, 0.9782],\n", + " # Mach 0.4\n", + " [0, 0.4, 0.7492],\n", + " [10 / 100, 0.4, 0.7566],\n", + " [20 / 100, 0.4, 0.7698],\n", + " [30 / 100, 0.4, 0.7840],\n", + " [40 / 100, 0.4, 0.7994],\n", + " [50 / 100, 0.4, 0.8136],\n", + " [60 / 100, 0.4, 0.8399],\n", + " [70 / 100, 0.4, 0.8665],\n", + " [80 / 100, 0.4, 0.8834],\n", + " [90 / 100, 0.4, 0.8969],\n", + " [100 / 100, 0.4, 0.9659],\n", + " # Mach 0.5\n", + " [0, 0.5, 0.7454],\n", + " [10 / 100, 0.5, 0.7537],\n", + " [20 / 100, 0.5, 0.7651],\n", + " [30 / 100, 0.5, 0.7811],\n", + " [40 / 100, 0.5, 0.7987],\n", + " [50 / 100, 0.5, 0.8163],\n", + " [60 / 100, 0.5, 0.8404],\n", + " [70 / 100, 0.5, 0.8631],\n", + " [80 / 100, 0.5, 0.8788],\n", + " [90 / 100, 0.5, 0.8951],\n", + " [100 / 100, 0.5, 0.9416],\n", + " # Mach 0.6\n", + " [0, 0.6, 0.7036],\n", + " [10 / 100, 0.6, 0.7237],\n", + " [20 / 100, 0.6, 0.7359],\n", + " [30 / 100, 0.6, 0.7496],\n", + " [40 / 100, 0.6, 0.7684],\n", + " [50 / 100, 0.6, 0.7899],\n", + " [60 / 100, 0.6, 0.8153],\n", + " [70 / 100, 0.6, 0.8406],\n", + " [80 / 100, 0.6, 0.8539],\n", + " [90 / 100, 0.6, 0.8712],\n", + " [100 / 100, 0.6, 0.9286],\n", + " # Mach 0.7\n", + " [0, 0.7, 0.6810],\n", + " [10 / 100, 0.7, 0.6948],\n", + " [20 / 100, 0.7, 0.7076],\n", + " [30 / 100, 0.7, 0.7233],\n", + " [40 / 100, 0.7, 0.7427],\n", + " [50 / 100, 0.7, 0.7629],\n", + " [60 / 100, 0.7, 0.7876],\n", + " [70 / 100, 0.7, 0.8073],\n", + " [80 / 100, 0.7, 0.8272],\n", + " [90 / 100, 0.7, 0.8453],\n", + " [100 / 100, 0.7, 0.8960],\n", + " # Mach 0.8\n", + " [0, 0.8, 0.6578],\n", + " [10 / 100, 0.8, 0.6739],\n", + " [20 / 100, 0.8, 0.6870],\n", + " [30 / 100, 0.8, 0.7036],\n", + " [40 / 100, 0.8, 0.7240],\n", + " [50 / 100, 0.8, 0.7457],\n", + " [60 / 100, 0.8, 0.7676],\n", + " [70 / 100, 0.8, 0.7880],\n", + " [80 / 100, 0.8, 0.8098],\n", + " [90 / 100, 0.8, 0.8278],\n", + " [100 / 100, 0.8, 0.8799],\n", + " # Mach 0.9\n", + " [0, 0.9, 0.6574],\n", + " [10 / 100, 0.9, 0.6634],\n", + " [20 / 100, 0.9, 0.6794],\n", + " [30 / 100, 0.9, 0.6958],\n", + " [40 / 100, 0.9, 0.7201],\n", + " [50 / 100, 0.9, 0.7395],\n", + " [60 / 100, 0.9, 0.7618],\n", + " [70 / 100, 0.9, 0.7844],\n", + " [80 / 100, 0.9, 0.8057],\n", + " [90 / 100, 0.9, 0.8278],\n", + " [100 / 100, 0.9, 0.8628],\n", + " # Mach 1.0\n", + " [0, 1.0, 0.8350],\n", + " [10 / 100, 1.0, 0.8241],\n", + " [20 / 100, 1.0, 0.8403],\n", + " [30 / 100, 1.0, 0.8593],\n", + " [40 / 100, 1.0, 0.8832],\n", + " [50 / 100, 1.0, 0.9070],\n", + " [60 / 100, 1.0, 0.9358],\n", + " [70 / 100, 1.0, 0.9639],\n", + " [80 / 100, 1.0, 0.9881],\n", + " [90 / 100, 1.0, 1.0093],\n", + " [100 / 100, 1.0, 1.0347],\n", + " # Mach 1.1\n", + " [0, 1.1, 0.8610],\n", + " [10 / 100, 1.1, 0.8447],\n", + " [20 / 100, 1.1, 0.8617],\n", + " [30 / 100, 1.1, 0.8800],\n", + " [40 / 100, 1.1, 0.9027],\n", + " [50 / 100, 1.1, 0.9244],\n", + " [60 / 100, 1.1, 0.9515],\n", + " [70 / 100, 1.1, 0.9810],\n", + " [80 / 100, 1.1, 1.0069],\n", + " [90 / 100, 1.1, 1.0253],\n", + " [100 / 100, 1.1, 1.0560],\n", + " ],\n", + " controller_function=controller_function,\n", + " sampling_rate=10,\n", + " reference_area=None,\n", + " clamp=True,\n", + " initial_observed_variables=(0, 0),\n", + " override_rocket_drag=True,\n", + " name=\"Air Brakes\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "air_brakes.all_info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Flight Simulation Data" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "E:\\books\\New folder\\MSc\\RocketPy\\tttt\\RocketPy\\rocketpy\\simulation\\flight.py:1209: UserWarning: time_overshoot has been set to False due to the presence of controllers or sensors. \n", + " warnings.warn(\n" + ] + } + ], + "source": [ + "test_flight = Flight(\n", + " rocket=CAMOES, environment=env, inclination=84, heading=133, rail_length=12, equations_of_motion=\"solid_propulsion\", simulation_mode=\"3 DOF\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Apogee State\n", + "\n", + "Apogee Time: 23.143 s\n", + "Apogee Altitude: 3130.739 m (ASL) | 3023.739 m (AGL)\n", + "Apogee Freestream Speed: 6.031 m/s\n", + "Apogee X position: 324.468 m\n", + "Apogee Y position: -285.984 m\n", + "Apogee latitude: 39.3874306°\n", + "Apogee longitude: -8.2857620°\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_flight.prints.apogee_conditions()\n", + "test_flight.plots.trajectory_3d()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Airbrakes actuation analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "time_list, deployment_level_list = [], []\n", + "\n", + "obs_vars = test_flight.get_controller_observed_variables()\n", + "\n", + "for time, deployment_level in obs_vars:\n", + " time_list.append(time)\n", + " deployment_level_list.append(deployment_level)\n", + "\n", + "# Plot deployment level by time\n", + "plt.plot(time_list, deployment_level_list)\n", + "plt.xlabel(\"Time (s)\")\n", + "plt.ylabel(\"Deployment Level\")\n", + "plt.title(\"Deployment Level by Time\")\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Data analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "from rocketpy.simulation.flight_data_importer import FlightDataImporter" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The following attributes were create and are now available to be used: ['time', 'altitude', 'az']\n" + ] + } + ], + "source": [ + "columns_map = {\n", + " \"ts\": \"time\",\n", + " \"filtered_altitude_AGL\": \"altitude\",\n", + " \"filtered_acceleration\": \"az\",\n", + "}\n", + "\n", + "cots_altimeter_flight = FlightDataImporter(\n", + " name=\"COTS Altimeter Flight\",\n", + " paths=\"../../data/rockets/camoes/flight_data.csv\",\n", + " columns_map=columns_map,\n", + " units=None,\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + " delimiter=\",\",\n", + " encoding=\"utf-8\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Function.compare_plots(\n", + " [\n", + " (test_flight.altitude, \"RocketPy\"),\n", + " (cots_altimeter_flight.altitude, \"COTS Altimeter\"),\n", + " ],\n", + " title=\"Altitude Comparison\",\n", + " xlabel=\"Time (s)\",\n", + " ylabel=\"Altitude (m)\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The following attributes were create and are now available to be used: ['time', 'latitude', 'longitude']\n" + ] + } + ], + "source": [ + "columns_map = {\n", + " \"ts\": \"time\",\n", + " \"latitude\": \"latitude\",\n", + " \"longitude\": \"longitude\",\n", + "}\n", + "\n", + "cots_gnss_flight = FlightDataImporter(\n", + " name=\"COTS GNSS Flight\",\n", + " paths=\"../../data/rockets/camoes/gnss_flight.csv\",\n", + " columns_map=columns_map,\n", + " units=None,\n", + " interpolation=\"linear\",\n", + " extrapolation=\"zero\",\n", + " delimiter=\",\",\n", + " encoding=\"utf-8\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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mDqdeCwgIoFWrVvrpRiFEzZE1VEIIo8nPz69wrGy9TK9evWo2GCGEqEGyhkoIYTS//PIL3333HYMHD8bOzo4dO3bw008/MWDAALp27Wrq8IQQotpIQSWEMJo2bdpgbm7O/PnzycrK0i9Uf/vtt00dmhBCVCtZQyWEEEIIcYdkDZUQQgghxB2SgkoIIYQQ4g7JGqoaotPpSEhIwN7evtK3uhBCCCGEaSiKQnZ2Nj4+PhVucn4tKahqSEJCQqXvjSaEEEKI2uHSpUvlbvJ9PSmoakjZ7SUuXbpU6XukGUKr1bJp0yYGDBiAhYWF0fuvzSR3yV1ybzgkd8m9pnPPysrC19f3treJkoKqhpRN8zk4OFRbQWVjY4ODg0OD/IcmuUvuDYnkLrlL7jXvdst1ZFG6EEIIIcQdkoJKCCGEEOIOSUElhBBCCHGHZA1VLaLT6SgoKKjSc7VaLRYWFuTl5TXIufWGnrtOpzN1KEII0aDVmYIqKiqKqVOnsnPnToqKimjTpg1vvfUWvXv3vmF7rVbLzJkzWbduHefPn8fR0ZF+/foxb948fHx8KtXvxYsXefbZZ9myZQt2dnaMGzeO9957D3Nz4718hYWFnDx58o7eGD09PTl79qzRYqpLGnruJ0+epEWLFmg0GlOHI4QQDVKdKaiGDh1KcHAwERERWFtb8/HHHzN06FDOnTuHl5dXhfZ5eXlERkYya9YswsLCSE9PZ/LkyQwfPpwDBw4Y3G9JSQlDhgzBy8uLXbt2kZiYyNixY7GwsODdd981Sm6KonDhwgXMzc1p0qTJLTcOE+J6Op2OmJgYLly4QLNmzWTjWCGEMAWlDkhJSVEA5Z9//tEfy8rKUgAlPDzc4H727dunAEpsbKzB/a5bt05Rq9VKUlKSvs0XX3yhODg4KIWFhQafOzMzUwGUzMzMCo8VFhYqBw4cUNLS0gzuT4hrpaWlKQcOHFA2b96spKSkmDqcGlFUVKSsWrVKKSoqMnUoNU5yl9wbGlPmfqv372vViaEQV1dXQkJC+P7778nNzaW4uJjFixfj4eFBhw4dDO4nMzMTlUqFk5OTwf3u3r2b1q1b4+npqe9n4MCBZGVlceLECaPkV1xcDCDTNaLKyn53jh07xtq1a0lNTTVxREII0bDUiSk/lUrF33//zYgRI7C3t0etVuPh4cGGDRtwdnY2qI+CggKmTZvGmDFj9BtrGtJvUlJSuWIK0H+flJR00/MVFhZSWFio/z4rKwsoXdul1WrLtS37XqZqRFWV/e54eXkRHR3Nrl27uPfee00cVfUq+3dz/b+nhkByl9wbGlPmbug5TVpQTZ8+nffff/+WbU6dOkVISAjPPfccHh4ebN++HWtra77++muGDRvG/v378fb2vmUfWq2W0aNHoygKX3zxhf64oih31O+tvPfee8yZM6fC8U2bNmFjY1PumIWFRYWiTYiqiI+PJz09nf3796MoiqnDqRHh4eGmDsFkJPeGSXKvWXl5eQa1Uykm/KubkpJCWlraLdsEBgayfft2BgwYQHp6ernbtgQHBzNhwgSmT59+0+eXFVPnz58nIiICV1dX/WObN2++bb9vvPEGa9as4fDhw/rHY2JiCAwMJDIyknbt2t3wvDcaofL19SU1NbXCrWfy8vI4e/YszZs3r1BsNWTjx48nIyODVatWmTqUWi8vL49Tp04RExNDXFwc9vb2jB071tRhVSutVkt4eDj9+/dvkNtlSO6Se0NiytyzsrJwc3MjMzPzlreOM+kIlbu7O+7u7rdtV1YdXn/1m1qtvuU2A2XFVHR0NFu2bClXTBnab5cuXXjnnXdITk7Gw8MDKK2QHRwcaNGixU3PrdFobrgmysLCosIvQ139hzF+/HiWLl0KgLm5OY0bN+bBBx9k7ty5WFlZmTg6ePPNN1m1alW5YhggICCA2NhYAGxsbAgJCeG1117jwQcfNEGUxqVSqVCr1ajV6jr7e1VZN/o31VBI7pJ7Q2OK3A09X51YlN6lSxecnZ0ZN24cR44c0e8dFRMTw5AhQ/TtQkNDWblyJVBaTI0aNYoDBw6wbNkySkpKSEpKIikpiaKiIoP7HTBgAC1atODxxx/nyJEjbNy4kZkzZ/Lcc8/JInJg0KBBJCYmcv78eT766CMWL17M7NmzTR3Wbc2dO5fExEQOHTpEp06deOihh9i1a5epwxJCCGEAra6EtIJcU4dRTp0oqNzc3NiwYQM5OTn06dOHjh07smPHDlavXk1YWJi+3ZkzZ8jMzARK15KsWbOGuLg42rZti7e3t/6j7I3TkH7NzMxYu3YtZmZmdOnShccee4yxY8cyd+7cmn8haiGNRoOXlxe+vr6MGDGCfv366ee4CwsLefHFF/Hw8MDKyopu3bqxf//+cs8/ceIEQ4cOxcHBAXt7e7p37865c+dueK79+/fj7u6uX3eXkZHBU089hbu7Ow4ODvTp04cjR44A8N133zFnzhyOHDmCSqVCpVLx3Xff6fuyt7fHy8uLZs2a8fnnn2Ntbc2ff/7JP//8g4WFRYULDl566SW6d+9urJdNCCGEAbS6ElbFHueZ3X8wNfMQPTcuImzVh9j98DpuP83G79e3GbP1R17au5o+679Ap5jurhF14io/gI4dO7Jx48Zbtrl2OVhAQIBBi3IN6dff359169YZFqgRKIpCXlFJjZ3vWjaWZlW+2vD48ePs2rULf39/AP773//yxx9/sHTpUvz9/Zk/fz4DBw7k7NmzuLi4EB8fT48ePejVqxcRERE4ODiwc+dO/TYS14qIiOD+++9n/vz5TJw4EYAHH3wQa2tr1q9fj6OjI4sXL6Zv375ERUXx0EMPcfz4cTZs2MDff/8NgKOj4w3jNjc3x8LCgqKiInr06EFgYCA//PADU6dOBUpHO5ctW8b8+fOr9LoIIYQwXEpBDpsTotmSeI4/L50kMT9L/1h0Sk65tpdyM/g55rD++62J5+jjE1xToZZTZwqqhiSvqAS719eb5Nw5796LrcbwX4u1a9diZ2dHcXExhYWFqNVqFixYQG5uLl988QXfffed/vL9r776ivDwcJYsWcLUqVP5/PPPcXR05Oeff9bPUTdr1qzCOVauXMnYsWP5+uuveeihhwDYsWMH+/btIzk5WT/1+n//93+sWrWK33//nYkTJ2JnZ4e5ufkNd9IvU1RUxIcffkhmZiZ9+vQBYMKECXz77bf6gurPP/+koKCA0aNHG/y6CCGEuD1FUTiXncbOyzHsSo5lV/IFjmeUnyHwsLLjkSZtsbyURof27bG11NDCyRM3K1v2p1xiV3Is0Vkp9PNpxl3ufibKRAoqcYd69+7NF198QW5uLh999BHm5uY88MADHD16FK1WS9euXfVtLSws6Ny5M6dOnQLg8OHDdO/e/ZYL/vbu3cvatWv5/fffGTFihP74kSNHyMnJqXChQX5+/k2nDK81bdo0Zs6cSUFBAXZ2dsybN0+/bm78+PHMnDmTPXv2cPfdd/Pdd98xevRobG1tK/PSCCGEuE6JTsfxjCS2JJ5lW9J5diVfILkgp0K7MBcf+ng3pY93Uwb4NEOlU1h3eR2D/VqVe8/o4xNsshGp60lBVQvZWJqR865pNmW0sTSrVHtbW1uaNm0KwDfffENYWBhLliyhU6dOt32utbX1bdsEBQXh6urKN998w5AhQ/T/kHJycvD29mbr1q0VnlO2E/6tTJ06lfHjx2NnZ4enp2e5aU4PDw+GDRvGt99+S5MmTVi/fv0NzyOEEOLW8ou17Lgcw47kGHYlX2BvykWytYXl2liqzejo5ktXjwDu8QjgHg9/PKzty7XR6mr/ZqZSUNVCKpWqUtNutYVareb1119nypQpnD17FktLS3bu3KlfU6XVatm/fz8vvfQSAG3atGHp0qVotdqbjlK5ubmxYsUKevXqxejRo/n111+xsLCgffv2JCUlYW5uTkBAwA2fa2lpSUnJjdeiubm56QvBG3nqqacYM2YMjRs3JigoqNxImxBCiBvL1hawPSmG3Smx7EmJZfvlGApLyq+LtTPX0M0zgF5eQXT3DKS9ayOszOv+NhB1711b1GoPPvggU6dO5YsvvuDZZ59l6tSpuLi44Ofnx/z588nLy2PChAkAPP/883z22Wc8/PDDvPbaazg6OrJnzx46d+5MSEiIvk8PDw8iIiLo3bs3Y8aM4eeff6Zfv3506dKFESNGMH/+fJo1a0ZCQgJ//fUXI0eOpGPHjgQEBBATE8Phw4dp3Lgx9vb2Bm91MXDgQBwcHHj77bflik4hhLiJbG0BOy9fYPvlGLYmnWNfykWKr7vSrpGNI729g+jqEUAXjwBaOXlhpq4TmwxUihRUwqjMzc15/vnnmT9/PjExMeh0Oh5//HGys7P1V1SW3SfR1dWViIgIpk6dSs+ePTEzM6Nt27Y3HA3y8vIiIiKCXr168eijj7J8+XLWrVvHjBkzeOKJJ0hJScHLy4sePXrob+PzwAMPsGLFCnr37k1GRgbffvst48ePNygPtVrN+PHjeffdd+v9juNCCFEZqQW5rLl4ghWxxwhPiKJIV34mIMjelR5egXRwbUxv7yCaO3o2iHvVSkElquzafZ2uNX36dP3tgD799FM+/fTTm/bRpk2bm25bcX3/3t7enDlzRv+9vb39LfvXaDT8/vvvFY5fuHDhpvFcKz4+nsGDB9/RPR2FEKI+iMvNYFXscVbEHmPb5fPortmWqImdCz29AunuGUhfn6b427mYMFLTkYJKiOtkZmZy7Ngxli9fzpo1a0wdjhBCmER0ZgorYo+xIvYY+1IvlXusnUsj7vdvzf0BrRrMCNTtSEElxHXuu+8+9u3bx6RJk+jfv7+pwxFCiBqhKApH0xNLi6gLx8rtB6VCxT0e/tzv35qR/q1oYu96i54aJimohLiObJEghGhIojNTWHr2AKsvnihXRJmr1PTxbsr9/q25z68lXjYOJoyy9pOCSgghhGhgLudn82vMEX46f4jdKbH64xozc+5tFMr9/q0Z6tscZ42NCaOsW6SgEkIIIRqA/GItv104wo/nItmcGK1fWK5WqRjg04zHgjowqFEIrlZyV4iqkIJKCCGEqKdKdDp2JV/g9wtH+fF8JFcK8/SPdXbzZUxgO0Y3CcPH5sY3jxeGk4JKCCGEqGf2psSy9OwBVsYeJyk/W3/c386Zp4LvYkxgW4Ic3EwYYf0jBZUQQghRxymKwoHUS/x56SRrLp3kyJUE/WOOllYM923JQ03CGNQotF7uUl4bSEElhBBC1EE6Rce2pPOsizvFbxeOEpuTrn/MUm3Gw03aMiawHX28m2JpJm/31U1eYVFvqVQqVq5cyYgRI0wdihBCGIVOUdiceJaVl04QnhBFTM4V/WO25pYMahTCMN8WDPFtgZssLq9RMu4n7tju3bsxMzNjyJAhlX5uQEAAH3/8sfGDMqKioiI++OAD2rdvj62tLY6OjoSFhTFz5kwSEv4dVh8/fjwqlYp58+aVe/6qVasq7CL81VdfERYWhp2dHU5OTrRr14733ntP/3heXh6vvfYaQUFBWFlZ4e7uTs+ePVm9enX1JiuEqJVOZyQz+/AmJmbu597NS/gyag8xOVdwsLBibFAHfu89lpQxc/i9zzjGBXeSYsoEZIRK3LElS5bwwgsvsGTJEhISEvDx8TF1SEZTWFjIgAEDOHr0KHPmzKFr1664u7sTExPDTz/9xGeffVauELKysuL999/nmWee0d8E+nrffPMNL730Ep9++ik9e/aksLCQo0ePcvz4cX2bSZMmsXfvXj777DNatGhBWloau3btIi0trdpzFkLUDol5WayIPcYXp3dxIuOy/riTpRUPN2nHvY1D6evdFFsLjQmjFGWkoBJ3JCcnh19++YUDBw6QlJTEd999x+uvv16uzZ9//sncuXM5duwYdnZ2dO/enZUrV9KrVy9iY2N5+eWXefnll4HShZVvvvkmq1at4vDhw/o+Pv74Yz7++GP9jY3379/P66+/zqFDh9BqtbRt25aPPvqI9u3bGzW/jz76iB07dnDgwAHatWunP+7n50fPnj1RrrlBKEC/fv04e/Ys7733HvPnz79hn2vWrGH06NFMmDBBf6xly5YV2nzyyScMHjwYKB3J69Chg7HSEkLUUplF+WyIO8Py84dYG3dSv1eUhdqMvl5BtMxUMXv4o9hbyYabtY1M+dVCiqKQqy00ycf1BcLt/Prrr4SGhhISEsJjjz3GN998U66Pv/76i5EjRzJ48GAOHTrE5s2b6dy5MwArVqygcePGzJ07l8TERBITEw0+b3Z2NuPGjWPHjh3s2bOH4OBgBg8eTHZ29u2fXAk//fQT/fv3L1dMXev6qTwzMzPeffddPvvsM+Li4m74HC8vL/bs2UNsbOwNHy9rs27dOqPnI4SofYpKilkVe5wBG7/EbflsHt72I2sunUCnKIQ6ejAzrB/JD7/Jmj5P0F3jgZWZhalDFjcgI1S1UF5xEXY/zjDJuXMee6dSw8dLlizhscceA2DQoEFkZmaybds2evXqBcA777zDww8/zJw5c/TPCQsLA8DFxQUzMzPs7e3x8vKqVJx9+vQp9/2XX36Jk5MT27ZtY+jQoZXq61aioqL0uZQZOXIk4eHhALRp04Zdu3ZVeLxt27bMnj2bJUuWVOhz9uzZ3H///QQEBNCsWTO6dOnC4MGDGTVqFOqrlzN/+eWXPProo7i6uhIWFka3bt0YNWoUXbt2NVpuQgjT0Sk6dl6+wLLzkfx24Wi5DTdDHT0Y7tuC8cGdaO7kqT+u1WpNEaowkIxQiSo7c+YM+/btY8yYMQCYm5vz0EMPlSsiDh8+TN++fY1+7suXL/P0008THByMo6MjDg4O5OTkcPHiRYOev2zZMuzs7PQf27dvN/jcCxcu5PDhwzz55JPk5eXdsM3777/P0qVLOXXqVIXHvL292b17N8eOHWPy5MkUFxczbtw4Bg0ahE6nA6BHjx6cP3+ezZs3M2rUKE6cOEH37t156623DI5TCFH7nEhP4vWD6wj8/T16rF/I4jN7uFKYh7e1A1Nb9SL6gemcuv+/vN9paLliStR+MkJVC9mYW5Lz2DsmO7ehlixZQnFxcblF6IqioNFoWLBgAY6OjlhbW1c6BrVaXWHq8fr/mY0bN460tDQ++eQT/P390Wg0dOnShaKiIoPOMXz4cO666y79940aNbphu+DgYM6cOVPumLe3N1A6wnYzPXr0YODAgbz22muMHz/+hm1atWpFq1at+M9//sOkSZPo3r0727Zto3fv3gBYWFjQvXt3unfvzrRp03j77beZO3cu06ZNw9LS8J+TEMJ0SnQ6tiSdZe2lU2xJPMvR9H+XNthbaHjAvzWPBXWgl1eQbLhZx0lBVQupVKpaf9VGcXEx33//PR9++CEDBgwo99iIESP46aefmDRpEm3atGHz5s088cQTN+zH0tKSkpKScsfc3d1JSkpCURT9GqVrF6gD7Ny5k4ULF+oXbV+6dInU1FSD47e3t8fe3v627caMGcPMmTM5dOjQTddR3cy8efNo27YtISEht23bokULAHJzc2/Zpri4mIKCAimohKjlTmcks/TsAX48d5C4vEz9cXOVmsGNm/NoUDuG+bbE2lzWQ9UXUlCJKlm7di3p6elMmDABR8fyN9V84IEHWLJkCZMmTWL27Nn07duXoKAgHn74YYqLi1m3bh3Tpk0DSq9e++eff3j44YfRaDS4ubnRq1cvUlJSmD9/PqNGjWLDhg2sX78eBwcH/TmCg4P54Ycf6NixI1lZWUydOrVKo2G38/LLL/PXX3/Rt29fZs+eTffu3XF2diYqKor169djZmZ20+e2bt2aRx99lE8//bTc8WeffRYfHx/69OlD48aNSUxM5O2338bd3Z0uXboA0KtXL8aMGUPHjh1xdXXl5MmTvP766/Tu3bvc6yCEqD2uFObx8/lDLD17gH2pl/THnSyteTCgDT29ghjUKARX2SOqXpLxRVElS5YsoV+/fhWKKSgtqA4cOMDRo0fp1asXv/32G2vWrKFt27b06dOHffv26dvOnTuXCxcuEBQUhLu7OwDNmzdn4cKFfP7554SFhbFv3z5effXVCudPT0+nffv2PP7447z44ot4eHgYPU8rKys2b97MtGnT+Pbbb+nWrRvNmzfnpZdeomvXrqxateqWz587d65+XVSZfv36sWfPHh588EGaNWvGAw88oD+Pq6srAAMHDmTp0qUMGDCA5s2b88ILLzBw4EB+/fVXo+cohKi6bG0BP50/xINbvsf75zk8t2cl+1IvYaZSM6Rxc37t9TiJD73Bl10f5NGg9lJM1WMqpbLXyYsqycrKwtHRkczMzAojDHl5eZw6dYrmzZtjYyN7i4jKK/sdunDhAvHx8djb2990mrW+0Gq1rFu3jsGDB2Nh0bCmTSR30+d+KuMyC0/vYunZA2RrC/XH2zh7M65pRx4JbIeXjXFHk2tL7qZgytxv9f59LZnyE0IIIQyQoy3kl5jDLInax+6Uf/eRa+bgznC/Fjwa2J62rje+wEXUf1JQCSGEEDehKAq7k2NZEr2PX2IOk1tceiWxmUrNUN/mPN+8K329gyts8isaHimohBBCiOsk52fz/dmDfBO9j1OZyfrjwQ5uTAjuzNimHfE28pSeqNukoBJCCCEo3TNqU8IZvjqzlz8vnaRYKb2gxMbcggcDwpgQ3Jlunk1kNErckBRUtYhcHyCqSn53hKgaRVHYm3KR3y4c4bcLR7mUm6F/rLObLxOa3cXDTdriYGlluiBFnSAFVS1gbl76YygsLMTWVi6pFZVXWFh6lVFxcbGJIxGibkjMy+Kn84f4OmpvuSk9Z0trxjbtyFPNOtPK2duEEYq6RgqqWsDCwgI7Ozvi4+OxtLTU3yBXCEPodDouXbpEXl5ehV3nhRD/OpwWz8qLx/nr0ikOpsXpj9uYW3CfXytG+bdhcONQrGT3clEFUlDVAiqVioCAAE6cOFHhvnFCGEKn05GUlARASUmJ3JpGCCC/WMu+1ItsT4rh99ijHLmSUO7xzm6+PBHciTGB7XC0NP6dFkTDIgVVLaHRaGjWrBmrVq0iKysLDw+PSi18VBSFixcv4ufn1+AWTDb03C9cuIC3tzcqlYqCggLy8/Px8vIydWhC1DhFUTidmczu5FhWxB5jU0IUWt2/o7aWajOGNG7OML8W3Nso1Ogbb4qGTQqqWsTOzo5evXqxbt06oqOjK11QJSYmUlhY2CCLioaeu1ar1efeqlUrunXrZuLIhKh+l/OzicvNZE9KLFuTzvFP0nmSC3LKtfG2dqC7ZxP6eDflwSZhuGjkbhSiekhBVcs0btyYkSNH6gsEQxUXF3PgwAE6duyoX+TeUEjupblbWFhga2tLkyZN0Gg0pg5NCKPK1hYQk32FI6nxLMuN5r9r/kdUVkqFdlZm5tzl7kewgzuTQrrQ3rVRg/uPljCNhvXuU0e4u7vrbxRsKK1WS3Jysv6NtSGR3Btm7qJ+KyjWcjwjiYOpcfx24SibE6PLNygEtUqFm8aWNi7e9PQMopd3EJ3cfNGYyVubqHnyWyeEEMLkkvKyOJgWR0TiWTYnnuVEepJ+Y80yrhobAu1c8M5RGHt3H/o2aoaTRhaTi9pBCiohhBA1SlEUzmSmcCDtEtuSzhOReJbz2WkV2rlqbGjn2ojunk0Y17Qj/nYuaLVa1q1bx2DfFjIqK2oVKaiEEEJUqxxtIZFpcWxOPMvOyxc4lXmZhLyscm1UqAh1dOcudz/ubRzK3e7++No6yfonUWdIQSWEEMJoFEUhuSCHQ2nxLDsfyf7US0RlpqJQ/vZI1mYWtHXx4R6PAPp4N6WbZxO5vYuo06SgEkIIUSU6RUdyfg6HrsSzPu4Me1NiOZOVQmZRQYW2PjYOdPcMpI93U4LsXenqESA7kot6RQoqIYQQBiko1nIgLY7NCdEcS09ka9I50grzKrRToSLAzpk+3k15IKA17V0b42ltb4KIhag5UlAJIYS4oaS8LHYlx7Ir+QI7ky9wMC2u3M7jULp1gZ+tEwN8Qujj3ZSWzp40tXeT0SfR4EhBJYQQAoDEvCy2JJ7ltwtHOXQlntic9AptPKzs6OkVyF3ufnR08+UejwAs1GYmiFaI2kUKKiGEaKBistMIT4hmx+UYdiZfqLB1gQoVrZy96OoRwD0eAdzj4U+gvWuDu/KuRKeQWaAlI1+Lp50GW428dYqK5LdCCCEaCK2uhMNp8ay+eIKlZw8Ql5dZ7nEVKlo7ezHMtwX9fIJp59oIR8v6sXGmoihkFxZzJU/Llbyiq5+v/br0c3p+6dcZ+cVkXC2isgqK9f1smng3/UMqdycL0TBIQSWEEPVUsa6E/amXWBd3mn+SzrM/9RL5JVr942qViq4eAfTyCqKrZxPudverEwWUToHU3CIyCgtIySkiOaeQlNwiUnKKSMsr4kpeEenXFkz5pV+X6JTbd34LNpZm5GtLbt9QNEhSUAkhRD0Sn5vJhvjTrI87zebEs2QU5Zd73EVjQxd3fx4Nas9w3xbYWtSOG2kXaEtIzCokIauApOwCknNKC6SUnMLSr3Ovfs4pJDVHhW57RJXOozFX42pjiYuNxdUPy+s+W+BkZYGzjQVO1qUfztYWOFpZYGmuNnLWoj6RgkoIIeqwYl0Ju5NjWRd3mvXxpzlyJaHc406W1gxsFMIAn2Z09QygmYN7ja6BKtCWkJBVQEJmAYnZhaWfrxZOiVkFVz8Xkp6vvX1neqXxO1lb4G5riYedJe52GtztLHGztcTFunzB5HzN19YWsoBeVA8pqIQQoo5JLsjhsDadVbv/YNWlE+VGoVSo6Ozuy72NQhnYKIRObr6YqatnZEVRFNJyi4hNz+diRj4Xr36OTf/368vZhQb3Z2WuxtvBCi97DZ72pQWSh50Gd1tL/ddOGjXH9u5g9LBB2FrXjtE1IUAKKiGEqBPicjNYfv4Qy85FcjQ9sfRgduknV40NAxuFMLhxcwY0aoa7lZ3RzpuZr+V8Wh7n0nI5d/Vz7JV8YtPzuJiRT75Wd9s+rMzV+Dha4W2vKf3sYIWPgxU+Dhr9194OGpysLW47eqbVaonXINNvotaRgkoIIWqp5PxsfrtwlNUXT/B3QrT+fngqVLiqLbkvsA2PB3ekm0eTKo9C6XQKSdmFpQVTavnC6VxqLml5t5+K87LX4OdsjZ+TNf7O1vqv/Zyt8Xe2wcXm9oWSEHWdFFRCCFGLJOdns+z8IdbFnWJL4jlKlH9HgLp7NuGxoA7c16g5ezZvZfDdg7GwMGxH8uyCYqJScjidnMOZss/JuUSn5tx2lMndzpIgV1uCXG0IcrUlwKW0UPJ3tqaxkxUac1mXJIQUVEIIYWI6RcffCdF8FbWXVbHHKb6miOrk5stI/1aMDggjyMENKJ32umE/OoVLGfnlCqayAio+s+INi8uoVeDvbFNaMLn9WzgFXv1sbyVvFULcjvwrEUIIE0nIy+Tb6P0sidpHTM4V/fHObr6MCWzH4MbNaeZYcRNJnU4hKR/WnkzmdGoeJ5KyOZGUzZmUW482edhZEuphR4iHHSHudoR62NHM3ZYAFxsszGRNkhB3QgoqIYSoQTpFx4a4M3wZtYe1l07pp/QcLa14PKgDTze7izYuPkDpVXRxGfkcv1owlX0+kZRNnlYN+yMr9G9hpiLYzZYQj9KCKcS9rICyxdnGskZzFaIhkYJKCCFqQK62kO/OHuDjE9s5m52qP97VI4CJIXczyLsF51IK2Hk6i8/jj+iLp8xrbntyLXOVQgsvB1p7O9DSy56Wnva08LInwNkacxltEqLG1ZmCKioqiqlTp7Jz506Kiopo06YNb731Fr17975he61Wy8yZM1m3bh3nz5/H0dGRfv36MW/ePHx8fAzu98iRI8ybN48dO3aQmppKQEAAkyZNYvLkyTWStxCibovPzWTBqZ0sPrOb9Kv7RTlaWNHbrSUBBJGYYsY7v2cyPnUzyg3ujGKmVtHM3ZZWXva08nKgpZcdIW7WRO37h2FDuhq8KF0IUb3qTEE1dOhQgoODiYiIwNramo8//pihQ4dy7tw5vLy8KrTPy8sjMjKSWbNmERYWRnp6OpMnT2b48OEcOHDA4H4PHjyIh4cHP/74I76+vuzatYuJEydiZmbG888/X5MvgRCijlAUhf2pl/js5A5+jjmsX2Rurdhinu5LZpIbq3RmwOVyz/N20NDWx5EwHwfCfEpHnpq521a4ik6r1XJOdiEQolapEwVVamoq0dHRLFmyhDZt2gAwb948Fi5cyPHjx29YUDk6OhIeHl7u2IIFC+jcuTMXL17Ez8/PoH6ffPLJcn0EBgaye/duVqxYIQWVEKKcI8nJfHxsD+sTj3NZ++8ic3IdIbUx+dmugAqVCkI87Gjr40DbRo76z572svO3EHVVnSioXF1dCQkJ4fvvv6d9+/ZoNBoWL16Mh4cHHTp0MLifzMxMVCoVTk5Od9RvZmYmLi4utzxXYWEhhYX/3nIhKysLKP2f5c0ueb4TZX1WR9+1neQuuZvk/CU6DidksTMmnb/iojiQd4pczeWy28yBTgWZHqjTG9Pa0ZuOzR1pd3XkqZWXHbaWFf/8GpqLqXM3JcldcjfVuW9HpSg3mrWvfeLi4hgxYgSRkZGo1Wo8PDz466+/aNeunUHPLygooGvXroSGhrJs2bIq97tr1y569uzJX3/9xYABA256vjfffJM5c+ZUOL58+XJsbGwMilkIUXvkFsOZLDiVqeJklsKZkgyKHVPANh0s//3Pk2W+I/5FHtxl6UorOwua2IFG9r0Uos7Ky8vjkUceITMzEwcHh5u2M2lBNX36dN5///1btjl16hQhISGMGDECrVbLjBkzsLa25uuvv2bNmjXs378fb2/vW/ah1Wp54IEHiIuLY+vWrfoXRFGUSvV7/PhxevfuzeTJk5k5c+Ytz3mjESpfX19SU1Nv+QOpKq1WS3h4OP37929wi1Qld8m9OnJPzilk67kr7IhJZ+eFdI5dzgKrbHBIBcfk8kWUypz+7i2Z1qY7d3s1Mnos15Ofu+QuudecrKws3NzcbltQmXTK75VXXmH8+PG3bBMYGEhERARr164lPT1dn8zChQsJDw9n6dKlTJ8+/abP12q1jB49mtjYWCIiIsq9GJXp9+TJk/Tt25eJEyfetpgC0Gg0aDQV10NYWFhU6y9Ddfdfm0nukvudyCrQ8s/5K2yOTmFzdCrHErNBVQJ2GWCfBs3SwKJI397OXMOYwLaMCmhDV48AbC1qfv2T/Nwl94bGFLkbej6TFlTu7u64u1fcBfh6eXl5AKivu/mnWq1Gp7v5rsBlxVR0dDRbtmzB1dW1Sv2eOHGCPn36MG7cON55553bxiuEqP2KS3TsiU1nw5nSAmr/pQxKdAqYacE+FfzSUNmno6j+/Vtgb6FhYKMQRgeEMdS3BdbmDfNNTQhRUZ1YlN6lSxecnZ0ZN24cb7zxBtbW1nz11VfExMQwZMgQfbvQ0FDee+89Ro4ciVarZdSoUURGRrJ27VpKSkpISkoCwMXFBUtLS4P6PX78OH369GHgwIFMmTJF34eZmZlBxaAQovZIzSlkw5kU/jp5mY1nUkjPv7rY1DIPXFKxcsmg0DIDhdKVEArga+vEcN8WDPdrSU+vIDRmdeLPphCihtWJvwxubm5s2LCBGTNm0KdPH7RaLS1btmT16tWEhYXp2505c4bMzEwA4uPjWbNmDQBt27Yt19+WLVvo1auXQf3+/vvvpKSk8OOPP/Ljjz/q+/D39+fChQvVm7gQ4o4oisKxxGxWn0hi3alk9l5M/3fzTIsCrBolY+acTC65AJTdPjjMxYcH/FszzLcFYS4+qFSy6ZMQ4tbqREEF0LFjRzZu3HjLNteurw8ICMCQ9fa36/fNN9/kzTffNDhOIYRpKYrCgUuZ/HE0kT+OJXI2NfeaR3UE+Oejdk0ipihOX0CZq9T09QlmpF8rBjRqRhN71xt1LYQQN1VnCiohhLgZRVHYfSGd344msOJYEhfT8/WPWZmr6RnigIV7AvuyT3GhMAeuri3v6x3M083uYrBvKPYWViaKXghRH0hBJYSos+Lz4M1N0fx0OJGYK3n647aWZgxp7kmf5vacLDnNkuj15KaWVlEeVnY8GdyZCc0609TBzVShCyHqGSmohBB1SkpOIb8cTuD7A5fYf0kNnAPATmPGiFZejGrjQ0gjMz47vZ3Jp/ZRWFIMQDuXRrzWpg/3+bXEUhaWCyGMTP6qCCFqvRKdwobTyXy1J5a/TiVTrCtdH6lGYWCIB2M7+TK8pSdXtDnMitzAjwci9Tck7uLuz4ywvgxu3FwWlwshqo0UVEKIWutieh7f7LvEkr0Xicss0B/v6OvII229cUk5ySMjOpBRUsi0yD/5KmqvfkSqn08wM9r0padXkBRSQohqJwWVEKJWKS7R8depZL7cE8uG08lcHYzC1caCcZ18eeouP5p72qPVavnzrxN8fnoXc47+TUZR6UL0Hp6BzO80hLvc/U2YhRCioZGCSghRK1zOLmTx7lgW7b5AYta/98nr3dSViXf7M7K1Fxrzf+8yvC3pPC9nRXLxQOli9LYuPnzYaRi9vZvKiJQQosZJQSWEMKn9FzP4dMd5fjmcgLakdDjK3c6SJ66ORgW725VrfzEnnan71/LrhSMAuFha806He3m62d2YXXcbKSGEqClSUAkhalxRsY7fjybw6fYY9l7M0B/v4u/Mi92bcH9rbyzNyxdHBcVa/u/4Nt49upn8Ei1qlYqBll58O/wpPO0cazgDIYQoTwoqIUSNKZvW+2LXBZKyS6f1LM3UPNzOhxe6NaGjr1OF5yiKwpqLJ3h53xpicq4ApeukPuw4lPjdh3DR2NRkCkIIcUNSUAkhqt2huEw++uc8Px+O10/reTtoePaeACbe7Y+nveaGzzudkczkvavYlBAFQCMbR/6v01AeatKW4uJi4jlUYzkIIcStSEElhKgWiqKw8UwK/7f1HJujU/XHbzWtVyarqIC5h8P55OR2ihUdlmozXm3Vi9fb9MHW4sbFlxBCmJIUVEIIoyosLuGnyAQ+3HaO40nZAJipVYwO8+HlHoF08nO65fM3xZ9hwo5ficvLBGCYbws+6jycILlNjBCiFpOCSghhFOl5RSzeHcunO2L02x7YacyYeLc/k7s3wc/51mudsooKmHbgLxad2Q1AkL0rn909gnsbN6/22IUQ4k5JQSWEuCMxaXl8vP08S/ZeJLeoBIBGjlZM7t6Ep+/2x8nagozCfB7c8j3H05N4utldTGnVs1wfv8Yc5qW9a0jMzwLghebdeK/DvTK9J4SoM6SgEkJUyfHELOZFnOXnwwmUXN3OvI23A6/2CuShto3KrY96YscvrLp4HIDZhzbxfPOuWJqZk1+s5cW9q/g6ai8AwQ5uLL5nFL29m9Z8QkIIcQekoBJCVMq+i+m8t/ksq44n6Y/1b+bG1F5N6dfMrcIu5Sczklh18ThqlQqdopBTXMiu5AvYmlvy2D8/EZWVglqlYkabvrzepi9W5hY1nZIQQtwxKaiEELelKApbz6Xx7t/R/H31ij2VCh5o7c3rfYNp1/jGG2tGZaYwYcdvAAzwaYablS0/nouk94ZF+jae1vb80H0M/Rs1q/5EhBCimkhBJYS4KUVRWHvyMu9uPsue2HQAzNUqHuvQmGm9gwj1tL/pc6MyU2i/5iNyi4sAGNQoVF9QlbnL3Y/vuj1MqJNH9SYihBDVTAoqIUQFOp3CH8cSeTs8mqOJpQvFNeZqnrrLj6m9gvB3ufUVe1pdCY/+s4zc4iL87Zzp5ObLuKYdsbWw5HRmMjbmFozyb0Owo3tNpCOEENVOCiohhJ5Op7DiWCJzNkXp95Cy05jxn3sCeLlHIF4OVrftQ1EUph/4iwOpcThbWrNj8HM0tnXSP/5W+0HVFb4QQpiMFFRCCHQ6hVXHk5izKUo/IuVgZc7LPQKZ3L0JzjaWBvVTVFLMs7tX8E30PgC+7DqqXDElhBD1lRRUQjRgiqKw+mohdTihtJCy15jzUo8mvNwj0OBCCko35hy++Ru2JZ1HrVLxcef7GBUQVl2hCyFErSIFlRANkKIobDidzIz1pzkUX1pI2WnMmNw9kCk9A3GpRCEFkK0t4NF/lrEt6Tz2Fhp+7fU4gxqHVkfoQghRK0lBJUQDszc2nWl/nWLbuTSgtJB6oVsTXukZhKtt5QopgIS8TFqs/IDMogJUqPij9zjZAkEI0eBIQSVEA3EmOYcZ60/zx9FEoPSqvee7BjC9T1Pc7Kp2i5eMwny6/rWAzKICAFb2kWJKCNEwSUElRD2XkFnAnE1nWLLvEiU6BbUKxnX05c2BzW57w+LbWX4+kgs56diYW/DpXSO4z7+VkaIWQoi6RQoqIeqpfG0JH249x3sRZ8m7etPi4S09eXdwc1p63XxDTkMoisKLe1ex4NROAOa2G8iEZnfdccxCCFFXSUElRD2jKAq/H01k6p8niU3PB6CLvzPzhzanW6CrUfqfFblBX0w5W1ozJrDdHfcrhBB1mRRUQtQjh+MzmbzqOP+cvwJAY0crPhjWgofa+lS4aXFlpRXkciw9kQ3xZ3j/2BYA3u1wLy+16IG13NBYCNHASUElRD2Qka9l9ppTLNodi6KAtYWaab2bMrV3EDaWd/bPPCEvk6VnD/De0QiytYX64x92GsaUVj3vNHQhhKgXpKASog5TFIUdKTDpfztIyi4tdh5u68P7Q5vf8YLz5PxsXj+4nm/P7kenKAD42jrhorHh2ZAuPBPa5Y7jF0KI+kIKKiHqqJi0PP7zxxE2nFEDhTRzt2XRqDb0bupW5T51io51cafZGH+GH89FklFUugarq0cAE5p1ZmxQR8zUaiNlIIQQ9YcUVELUMSU6hY//Oc+sDafJ1+owVym81jeYGf2boTE3u6O+J+78nSVX78MHEGTvytLuD9PVs8mdhi2EEPWaFFRC1CFnU3MZ/9Mhdl5IB6BXoAsPuqTydL+mWNxhMQXwd2I0AN09mzCtdW/6+zTD0kz+TAghxO3IX0oh6gBFUVi0O5ZX/zxJXlEJdhozPhrekrHtvVm/fr3RzpNzddH5onseoIWTl9H6FUKI+k4KKiFqufjMfJ74+TDhUakA9G7qyjcPtSXAxQatVmvUc+UUFwFgZ161W9EIIURDJQWVELXYulOXGffTYVJzi7C2UPP+kBY81zUAtfrO9pS6Ea2uhMKSYgDsLKSgEkKIypCCSohaqKhYx+vrTvHhtvMAtGvkwE+PdSDEw67azplzzR5TduaW1XYeIYSoj6SgEqKWiUnL46EfDrL/UgYAL3RrwgfDmt/xFXy3k6Mtne6zUJvJQnQhhKgk+aspRC2y6UwyD/8QSXq+FmdrC755KIwRrb1r5Nw5xaUjVPYy3SeEEJVW6YKqsLCQvXv3EhsbS15eHu7u7rRr144mTWSfGiGqSlEUPtx6nml/nUSnQGc/J34b2+GOdzuvjLIpP5nuE0KIyjO4oNq5cyeffPIJf/75J1qtFkdHR6ytrbly5QqFhYUEBgYyceJEJk2ahL29fXXGLES9kldUzFO/HuWnQ/EAPNHJl4UPtMbKonqn+K6nv8JPRqiEEKLSDLqHxPDhw3nooYcICAhg06ZNZGdnk5aWRlxcHHl5eURHRzNz5kw2b95Ms2bNCA8Pr+64hagXkrIK6PH5Ln46FI+5WsWCka1Y8lBYjRdTgP7GxzJCJYQQlWfQCNWQIUP4448/sLCwuOHjgYGBBAYGMm7cOE6ePEliYqJRgxSiPjp1OZt7v9pLbHo+braW/D6uAz2Dqn4fvjuln/KTESohhKg0gwqqZ555xuAOW7RoQYsWLaockBANwT/n0hjx7X7S87U0dbNl/dN30dTN1qQxlU35yaJ0IYSoPLnKT4ga9tuRBB5bdoiiEh1d/J1Z82Qn3OxMX8T8uyjd9LEIIURdU+mCytnZGZWq4i7NKpUKKysrmjZtyvjx43niiSeMEqAQ9cl3+y4x4dfD6BQY2dqLZY+2x9oE66VupGzbBDsLWUMlhBCVVemC6o033uCdd97h3nvvpXPnzgDs27ePDRs28NxzzxETE8Ozzz5LcXExTz/9tNEDFqKuWrjzAs+tOAbA03f78cUDbTCrhlvIVFW2jFAJIUSVVbqg2rFjB2+//TaTJk0qd3zx4sVs2rSJP/74gzZt2vDpp59KQSXEVf+35RxT154EYHL3Jnx0X8sbjvSaUtlO6TJCJYQQlWfQtgnX2rhxI/369atwvG/fvmzcuBGAwYMHc/78+TuPToh64P2Is/piaka/4FpZTME1U34yQiWEEJVW6YLKxcWFP//8s8LxP//8ExcXFwByc3Nlc08hgM+2xzD9r1MAvH1vCG/fG1oriyn4d4RKrvITQojKq/SU36xZs3j22WfZsmWLfg3V/v37WbduHYsWLQIgPDycnj17GjdSIeqYJXsv8uKq4wDM6h/MjH7NTBzRrf27KF0KKiGEqKxKF1RPP/00LVq0YMGCBaxYsQKAkJAQtm3bxj333APAK6+8YtwohahjlkfG8fRvRwCY0jOQOQNDTBzR7enXUMlO6UIIUWlV2oeqa9eudO3a1dixCFEvhJ9JYdxPh1EUmNTFn/8b1qLWTvNdK1tbAMgIlRBCVEWl11ABnDt3jpkzZ/LII4+QnJwMwPr16zlx4oRRgxOirjmakMUDSw9QrFN4uK0Pn9/fuk4UU3DtzZFlhEoIISqr0gXVtm3baN26NXv37uWPP/4gJycHgCNHjjB79myjByhEXRGXkc/gr/eSXVhMzyBXvhvTFnUt2mfqdsp2SpdF6UIIUXmVLqimT5/O22+/TXh4OJaW//5Ptk+fPuzZs8eowQlRV2QVaBny9T7iMwto7mnHyvEd0ZjXjh3QDaUfoZJtE4QQotIqXVAdO3aMkSNHVjju4eFBamqqUYISoi7R6RQeXXaIo4lZeNlrWP/UXTjb1K1pM62uhMKSYkDWUAkhRFVUuqBycnIiMTGxwvFDhw7RqFEjowQlRF3y5qYzrD15GStzNX9O6Iy/i42pQ6q0suk+kKv8hBCiKipdUD388MNMmzaNpKQkVCoVOp2OnTt38uqrrzJ27NjqiBGAqKgo7rvvPtzc3HBwcKBbt25s2bLlpu21Wi3Tpk2jdevW2Nra4uPjw9ixY0lISKhyv2lpaTRu3BiVSkVGRoYx0xN11IqjibwVHg3Alw+2oaOvk2kDqqKyLRMs1GZYmlXp4l8hhGjQKl1Qvfvuu4SGhuLr60tOTg4tWrSgR48e3HPPPcycObM6YgRg6NChFBcXExERwcGDBwkLC2Po0KEkJSXdsH1eXh6RkZHMmjWLyMhIVqxYwZkzZxg+fHiV+50wYQJt2rSplvxE3XMyKZtxPx8C4KUeTXi8o6+JI6q6sk09ZUG6EEJUTaX/K2ppaclXX33FrFmzOH78ODk5ObRr147g4ODqiA+A1NRUoqOjWbJkib6gmTdvHgsXLuT48eN4eXlVeI6joyPh4eHlji1YsIDOnTtz8eJF/Pz8KtXvF198QUZGBm+88Qbr16+vtlxF3ZBdUMzI7/aTU1hC76aufDC0halDuiNlU34y3SeEEFVT5bF9Pz8//Pz8jBnLTbm6uhISEsL3339P+/bt0Wg0LF68GA8PDzp06GBwP5mZmahUKpycnCrV78mTJ5k7dy579+6Vmz4LAJ5bcYyolFwaO1rxy+MdMDer0pZutca/e1DJCJUQQlSFQQXVlClTDO7wf//7X5WDuRmVSsXff//NiBEjsLe3R61W4+HhwYYNG3B2djaoj4KCAqZNm8aYMWNwcHAwuN/CwkLGjBnDBx98gJ+fn8EFVWFhIYWF/y70zcrKAkrXdmm12sqkb5CyPquj79qupnP/4WA8PxyMQ62CH8aE4aRRm+x1N1bu6fm5ANiaWdSZ3yH5nZfcGxrJ3TS5G3pOlaIoyu0a9e7du9z3kZGRFBcXExJSen+yqKgozMzM6NChAxEREQYHOX36dN5///1btjl16hQhISGMGDECrVbLjBkzsLa25uuvv2bNmjXs378fb2/vW/ah1Wp54IEHiIuLY+vWrfqCSlGU2/Y7ZcoUEhIS+PnnnwHYunUrvXv3Jj09XT/SdSNvvvkmc+bMqXB8+fLl2NjUvavARKn4PHglUkWBTsUj/jpG+5s6IuPYVpjMR7lnaG3uyFsOsk5QCCHK5OXl8cgjj5CZmamvH27EoILqWv/73//YunUrS5cu1Y/ipKen88QTT9C9e/dK3Rg5JSWFtLS0W7YJDAxk+/btDBgwgPT09HLJBAcHM2HCBKZPn37T52u1WkaPHs358+eJiIjA1dVV/9jmzZtv22/btm05duyY/vYhiqKg0+kwMzNjxowZNyya4MYjVL6+vqSmpt7yB1JVWq2W8PBw+vfvj4WFhdH7r81qKvcCbQndFu7haGI2vYNcWDehE2Ym3gndWLl/Hb2P/+xdydDGzVnRq/qu1jUm+Z2X3CX3hsOUuWdlZeHm5nbbgqrSa6g+/PBDNm3aVG6qzdnZmbfffpsBAwZUqqByd3fH3d39tu3y8vIAUKvLr1NRq9XodLqbPq+smIqOjmbLli3liilD+/3jjz/Iz8/XP7Z//36efPJJtm/fTlBQ0E3PrdFo0GgqrkexsLCo1l+G6u6/Nqvu3F/fEM3RxGzc7Sz58dEOWGlqzwLuO809X1e6qaejpXWd+/2R33nJvaGR3Gs2d0PPV+mVtFlZWaSkpFQ4npKSQnZ2dmW7M0iXLl1wdnZm3LhxHDlyhKioKKZOnUpMTAxDhgzRtwsNDWXlypVAaTE1atQoDhw4wLJlyygpKSEpKYmkpCSKiooM7jcoKIhWrVrpP5o0aQJA8+bN8fDwqJZ8Re2zM+YKH247B8DXD4bh42hl4oiMq2zbBLkxshBCVE2lC6qRI0fyxBNPsGLFCuLi4oiLi+OPP/5gwoQJ3H///dURI25ubmzYsIGcnBz69OlDx44d2bFjB6tXryYsLEzf7syZM2RmZgIQHx/PmjVriIuLo23btnh7e+s/du3aVal+RcOWW1jMuJ8OoSgwvpMvw1tV3KajrsvWb5sgV/kJIURVVHrKb9GiRbz66qs88sgj+pXv5ubmTJgwgQ8++MDoAZbp2LEjGzduvGWba5eDBQQEYMjyMEP6vVavXr0M6lfUH9P/OsW5tDwaO1rx8X0tTR1OtSjbKV1GqIQQomoqXVDZ2NiwcOFCPvjgA86dK50CCQoKwtbW1ujBCWFqEdGpLNh5AYAlD4XhaF0/1y3op/xkhEoIIaqkyht72traym1YRL2Wry3hmd+PAjCpiz8DQurfmrmCYi07kmM4l1V6ta3cekYIIarGoDVUkyZNIi4uzqAOf/nlF5YtW3ZHQQlRG7z7dzRnU3PxcbDi/aHNTR1OtZh24C/6b/yS3SmxgBRUQghRVQaNULm7u9OyZUu6du3KsGHD6NixIz4+PlhZWZGens7JkyfZsWMHP//8Mz4+Pnz55ZfVHbcQ1epkUjbvbzkLwGcjW+FgVb+m+nZdvsDpzGSWnY8EoJWTF03sXRjUONTEkQkhRN1kUEH11ltv8fzzz/P111+zcOFCTp48We5xe3t7+vXrx5dffsmgQYOqJVAhaopOp/DM70fRligMa+HJyNb166q+C9lX6LF+ISVK6V5rrhobDt33MuZqMxNHJoQQdZfBa6g8PT2ZMWMGM2bMID09nYsXL5Kfn4+bmxtBQUH6ncSFqOu+2XeRHTFXsLU0Y8H9rerd7/amhChKFB1e1vZ0dGvME007SzElhBB3qEqL0p2dnQ2+KbEQdUlqTiH/XXsKgLcGheDnXP/uuxiRWDqVOSmkC7PbDTBxNEIIUT9UemNPIeqzNzaeIT1fS5iPAy90a2LqcIxOURQiEqMB6OPd1MTRCCFE/SEFlRBXHUnIZPHu0qvdPhnREnOz+vfP40RGEikFuVibWXCXu5+pwxFCiHqj/r1jCFEFiqLw0qoT6BR4MMybnkFupg6pWpRN93X3bIKlWZW3oRNCCHEd+YsqBLDiWCJbz6VhZa7mg6EtTB2O0eUXaylRdPydINN9QghRHapUUBUXF7N161bOnTvHI488gr29PQkJCTg4OGBnZ2fsGIWoVvnaEl5ZU7oVyH97N8XfpW4vRM8v1vLZqR0cSovnXHYa57LTuFKYV66NFFRCCGFclS6oYmNjGTRoEBcvXqSwsJD+/ftjb2/P+++/T2FhIYsWLaqOOIWoNh9tO09sej6NHa34b+8gU4dzR/KLtdy3+VvCE6Ju2qajW2PauTaqwaiEEKL+q3RBNXnyZDp27MiRI0dwdXXVHx85ciRPP/20UYMTorql5hTqd0SfN6Q5tpq6PQv+3tHNhCdEYWtuycywfoQ4uhNk74qfrTOWZqV7TVmbWdS7vbWEEMLUKv3usX37dnbt2oWlpWW54wEBAcTHxxstMCFqwrubz5JVUExbHwfGtKv7ozabry46/6jzcJ4OudvE0QghRMNR6YJKp9NRUlJS4XhcXBz29vZGCUqImnDhSh6f77wAwPtDm6NW181RmxJFYW/KRRS1isi00puYd/cMNHFUQgjRsFS6oBowYAAff/yx/gbIKpWKnJwcZs+ezeDBg40eoBDV5Y0NZygq0dE32I3+zdxNHU6VpBfmMy3rMGc37tAfc7Cwoplj/dz2QQghaqtKF1QffvghAwcOpEWLFhQUFPDII48QHR2Nm5sbP/30U3XEKITRHUnI5MfI0tGceUOa18k1RZlF+QyJ+IazJTnYmVviY+OISgVPN7sLtUq2mBNCiJpU6YKqcePGHDlyhJ9//pmjR4+Sk5PDhAkTePTRR7G2tq6OGIUwutf+Oo2iwENtfejo62TqcCotV1vIoE1fcyAtDgeVOVsHPUs7d19ThyWEEA1WlS5pMjc357HHHjN2LELUiG3nUll/OhlztYq37w01dTiVpigKT+38jT0psbhYWjPLKpRWTl6mDksIIRo0gwqqNWvWGNzh8OHDqxyMENVNURRe++s0ABPv9qepm62JI6q8n84f4ueYw5ir1PzRayyZB06aOiQhhGjwDCqoRowYUe57lUqFoigVjgE3vAJQiNpi/elkdsemY22hZmb/YFOHUyUb488A8HLLHnT1CGAdUlAJIYSpGbRyVafT6T82bdpE27ZtWb9+PRkZGWRkZLB+/Xrat2/Phg0bqjteIapMp1OYub50dOr5rk3wdrAycURVczLzMgB3u/ubOBIhhBBlKr2G6qWXXmLRokV069ZNf2zgwIHY2NgwceJETp06ZdQAhTCWlccTORSfhb3GnGl96t697HK1hexNuciB1NKrE1s4eZo4IiGEEGUqXVCdO3cOJyenCscdHR25cOGCEUISwvhKdAqzNlydKusRiKut5W2eUXv8fP4Qi87sZldyLFpd6ZS6pdqMpg6uKCU6E0cnhBACDJzyu1anTp2YMmUKly9f1h+7fPkyU6dOpXPnzkYNTghj+elQPKcu5+BsbcGUnnVnF/E/LhxlzLZlbEs6j1ZXgq+tE+1dG/F2+0GYq81MHZ4QQoirKj1C9c033zBy5Ej8/Pzw9S3d9+bSpUsEBwezatUqY8cnxB3TluiYvbF0dOq/vYNwtLYwcUSG+yP2GABDfZvzv07DaergVic3IRVCiPqu0gVV06ZNOXr0KOHh4Zw+XbrAt3nz5vTr10/+0Ita6bv9lzifloeHnSUvdGti6nAq5WRG6UjwxGZ3E+xYN2+PI4QQDUGVNvZUqVQMGDCAAQMGGDseIYyqQFvC3E1RALzeNxhbTZV+5U2iRKfjdGYyIAvQhRCitqv0u8vcuXNv+fgbb7xR5WCEMLYv98QSl1lAY0crnulSt7YZiMm5QmFJMVZm5gTYuZg6HCGEELdQ6YJq5cqV5b7XarXExMRgbm5OUFCQFFSi1sgtLOadv6MBmNW/GVYWdWsR96mr032hjh6YqeVmx0IIUZtVuqA6dOhQhWNZWVmMHz+ekSNHGiUoIYxhwc4LJOcUEehqwxOd696Ng8vWT8l0nxBC1H5GWVDi4ODAnDlzGDZsGI8//rgxuhTijmTma3k/4iwAbw5ohoVZ7R3h0Sk6orNSic1JL3d8a9I5AJo7SkElhBC1ndFW6GZmZpKZmWms7oS4Ix/9c570fC3NPe14pH1jU4dzQ2cyk5m6fy3bL8eQUZR/03YyQiWEELVfpQuqTz/9tNz3iqKQmJjIDz/8wL333mu0wISoqrTcIv637TwAcweGYKaufdt57E+5SP9NX5JZVACAlZk5wQ7umF239YifrTMDGzUzRYhCCCEqodIF1UcffVTue7Vajbu7O+PGjeO1114zWmBCVNX8LWfJLiymrY8D97f2NnU4N/TRye1kFhXQxd2fT+8eQZiLDxay87kQQtRZlS6oYmJiqiMOIYwiMauAz3aU/o6+fW8o6lo4OgXo10tNadWDjm51b8G8EEKI8iq9UvfJJ58kOzu7wvHc3FyefPJJowQlRFW9t/ks+Vodd/s7M7i5h6nDuan4vNL1ho1tnEwbiBBCCKOodEG1dOlS8vMrLqDNz8/n+++/N0pQQlTFxYx8Fu+OBeCde0Nr7a2QdIqO+NzSgqqRjaOJoxFCCGEMBk/5ZWVloSgKiqKQnZ2NlZWV/rGSkhLWrVuHh0ftHREQ9d+7m89RVKKjd1NX+gS7mTqcm0opyKVY0aFWqfCysTd1OEIIIYzA4ILKyckJlUqFSqWiWbOKVx2pVCrmzJlj1OCEMFRiPiw9GA/A24NCTRzNrcVdHZ3ytLKXhehCCFFPGFxQbdmyBUVR6NOnD3/88QcuLv/eW8zS0hJ/f398fHyqJUghbufXWBUlOoV7Qz24p0ntvu9d2fqpRrYOJo5ECCGEsRhcUPXs2RMovcrPz8+v1q5PEQ1PVEou25JLv54zMMS0wRggLjcDkAXpQghRnxhUUB09epRWrVqhVqvJzMzk2LFjN23bpk0bowUnhCHejTiHDhWDQ93p5Odk6nBuKz4vC4BGNjJCJYQQ9YVBBVXbtm1JSkrCw8ODtm3bolKpUBSlQjuVSkVJSYnRgxTiZk5fzubnwwkAvNGvqYmjMYx+hMrWyaRxCCGEMB6DCqqYmBjc3d31XwtRW8wNj0anQGdXhfaN68YWBP+OUNWNeIUQQtyeQQWVv7//Db8WwpROJmXz8+HSK/se9q84YlqTFEXhgYilrIs/fdu2hSXFgEz5CSFEfVLpW8+sWbPmhsdVKhVWVlY0bdqUJk2a3HFgQtzO3PAoFAXua+lJoF2iSWPZfvk8Ky8eN7i9i8aGtq6NqjEiIYQQNanSBdWIESNuuIaq7JhKpaJbt26sWrUKZ2dnowUqxLWOJ2bx65HStVOz+jUl7pBpC6rPT+0CYGxQB95qP+i27d2t7LA2t6jusIQQQtSQSt96Jjw8nE6dOhEeHk5mZiaZmZmEh4dz1113sXbtWv755x/S0tJ49dVXqyNeIQCYs6l0dGpUG2/aeJt2t/E9ybGsiC298nVKq5742Tnf9kOKKSGEqF8qPUI1efJkvvzyS+655x79sb59+2JlZcXEiRM5ceIEH3/8sdwoWVSbowlZ/H40EZUKZg+ouGt/TUktyOWL07t45+hmihUdAxuFEOYim9sKIURDVOmC6ty5czg4VFxM6+DgwPnz5wEIDg4mNTX1zqMT4gbmbDoDwOgwH1p5O6DVak0Sx5M7fuHPSycBGOrbnJ96PmaSOIQQQphepaf8OnTowNSpU0lJSdEfS0lJ4b///S+dOnUCIDo6Gl9fX+NFKcRVh+MzWXEsCZUK3uhvutEpnaJjW1LpfyAeCWzHqj5PYGehMVk8QgghTKvSI1RLlizhvvvuo3Hjxvqi6dKlSwQGBrJ69WoAcnJymDlzpnEjFQJ4c2Pp6NTDbRvRwst0a6eiMlPJ0hZgbWbB0u4PY6au9P9NhBBC1COVLqhCQkI4efIkmzZtIioqSn+sf//+qK++qYwYMcKoQQoBcPBSBqtPXEatgjf6B5s0ln2pFwHo4NYYc7WZSWMRQghhepUuqADUajWDBg1i0KDbXx4uhLG8uam0gH+kfSNCPU17Zd++lNKCqrObTG0LIYSoYkG1efNmNm/eTHJyMjqdrtxj33zzjVECE+Ja+y9msPZk6ejULBOunSqzL/USAJ3d/EwciRBCiNqg0gXVnDlzmDt3Lh07dsTb2xuVSlUdcQlRzptXr+x7vENjmrnbmTSWwpJiDl8p3VS0s7uMUAkhhKhCQbVo0SK+++47Hn/88eqIR4gK9l/MYN2pZMzUqloxOnXkSgJaXQluGlsC7FxMHY4QQohaoNIFVVFRUblNPYWobm+Fl66deqx9I4LcbGv8/EevJLD/6hQfwI7LMUDp6JSM0AohhIAqFFRPPfUUy5cvZ9asWdURjxDlHIrL5M+ra6dm9Kv5K/uKSorpvm4hWdqCCo/J+ikhhBBlKr15TkFBAf/73//o2bMnL7zwAlOmTCn3UV2ioqK47777cHNzw8HBgW7durFly5abttdqtUybNo3WrVtja2uLj48PY8eOJSEhoUr9fvfdd7Rp0wYrKys8PDx47rnnjJ6jqOitv0tHp8a0a0SwCdZO5RQX6Yupob7NGebbgmG+LXg8qAPPhNxd4/EIIYSonSo9QnX06FHatm0LwPHjx8s9Vp3TH0OHDiU4OJiIiAisra35+OOPGTp0KOfOncPLy6tC+7y8PCIjI5k1axZhYWGkp6czefJkhg8fzoEDByrV7//+9z8+/PBDPvjgA+666y5yc3O5cOFCteUqSh1LzGLl1V3RTTE6BaUjVAAqVKzp+6RM8QkhhLihShdUtxoVqi6pqalER0ezZMkS2rRpA8C8efNYuHAhx48fv2FB5ejoSHh4eLljCxYsoHPnzly8eBE/Pz+D+k1PT2fmzJn8+eef9O3bV99XWXtRfd4OjwbgwTY+NDfRvlOFutKCSmNmJsWUEEKIm6rSPlRl4uLiAGjcuLFRgrkZV1dXQkJC+P7772nfvj0ajYbFixfj4eFBhw4dDO4nMzMTlUqFk5OTwf2Gh4ej0+mIj4+nefPmZGdnc8899/Dhhx/e8n6FhYWFFBYW6r/PysoCSqciq+NmvmV9mupGwcZ2KjmH346WTs9O693klnlVZ+65V3+GlmqzWvna1refe2VI7pJ7QyO5myZ3Q8+pUhRFqUzHOp2Ot99+mw8//JCcnBwA7O3teeWVV5gxY4b+9jPGFhcXx4gRI4iMjEStVuPh4cFff/1Fu3btDHp+QUEBXbt2JTQ0lGXLlhnc77x583jjjTcIDAzkk08+wdHRkZkzZxIXF8fRo0extLS84fnefPNN5syZU+H48uXLsbGxqcIr0LB8dFrFtmQVd7spTG9RqV9Ro7pYnMuLWZE4qMz53rmLyeIQQghhGnl5eTzyyCNkZmbi4OBw03aVHqGaMWMGS5YsYd68eXTt2hWAHTt28Oabb1JQUMA777xjcF/Tp0/n/fffv2WbU6dOERISwnPPPYeHhwfbt2/H2tqar7/+mmHDhrF//368vb1v2YdWq2X06NEoisIXX3yhP64oym371el0aLVaPv30UwYMGADATz/9hJeXF1u2bGHgwIE3POdrr71WbpF+VlYWvr6+DBgw4JY/kKrSarWEh4fTv39/LCwsjN5/TYpKyWX79u0AfDKmK+0a3fr1qs7cD6XFw/pI7K1tGDx4sFH7Nob69HOvLMldcpfcGw5T5l42w3Q7lS6oli5dytdff83w4cP1x9q0aUOjRo34z3/+U6mC6pVXXmH8+PG3bBMYGEhERARr164lPT1dX4wsXLiQ8PBwli5dyvTp02/6/LJiKjY2loiIiHLFjCH9lhVrLVq00D/P3d0dNzc3Ll68eNPzajQaNBpNheMWFhbV+stQ3f3XhA+2xaBTYFgLTzoHuBr8vOrIXacuXTdlqTav1a9rffi5V5XkLrk3NJJ7zeZu6PkqXVBduXKF0NDQCsdDQ0O5cuVKpfpyd3fH3d39tu3y8vIAKkwnqtXqCvcSvFZZMRUdHc2WLVtwdS3/5mxIv2WjcGfOnNGvFbty5Qqpqan4+/vfNnZROefTcvkxMh6oHffsK7q6KN3SzMzEkQghhKjNKr3gKSwsjAULFlQ4vmDBAsLCwowS1PW6dOmCs7Mz48aN48iRI0RFRTF16lRiYmIYMmSIvl1oaCgrV64ESoupUaNGceDAAZYtW0ZJSQlJSUkkJSVRVFRkcL/NmjXjvvvuY/LkyezatYvjx48zbtw4QkND6d27d7Xk25C9t/ksJTqFQaHudPJzMnU4FJaUAKBR39H1G0IIIeq5Sr9LzJ8/nyFDhvD333/TpUvpIt3du3dz6dIl1q1bZ/QAAdzc3NiwYQMzZsygT58+aLVaWrZsyerVq8sVcWfOnCEzMxOA+Ph41qxZA6DfN6vMli1b6NWrl8H9fv/997z88ssMGTIEtVpNz5492bBhQ4Mdcq0usVfy+G5/6S1e3qgFo1MgI1RCCCEMU+mCqmfPnkRFRfH5559z+vRpAO6//37+85//4OPjY/QAy3Ts2JGNGzfess21FywGBARgyAWMhvTr4ODAkiVLWLJkiWHBiip5f8tZinUKfYPd6BJQO246XKQrHaGylBEqIYQQt1CldwkfH58Ki8/j4uKYOHEiX375pVECEw1LXEY+S/bWrtEpgMKrO6VbqmWESgghxM0ZbdOotLQ0GcERVfZ/W89RVKKjZ5ArPYIMv7KvupWNUGnMZIRKCCHEzVXPLpxCVEJKTiFf7okFYEZf09yz72b+nfKTESohhBA3JwWVMLlPt8eQr9XRobEj/Zq5mTqccopkyk8IIYQBpKASJpVVoGXBzgsAvN43uNbdgLhQpvyEEEIYwOB3ifvvv/+Wj2dkZNxpLKIBWrQrlox8LaEedoxo5WXqcCqQESohhBCGMLigcnR0vO3jY8eOveOARMNRoC3ho3/OAzCtd1PU6to1OgWybYIQQgjDGPwu8e2331ZnHKIB+m7/JZKyC/F1suKR9o1MHc4NlW2bIFN+QgghbkXWUAmTKC7RMX/LOQCm9mqKpXnt/FWUq/yEEEIYona+i4l675fDCcRcycPdzpIJd/maOpyb0hdUcusZIYQQtyAFlahxOp3CvIizAEzu3gQby9o7naaf8pM1VEIIIW5BCipR49aevMzxpGzsNeY817WJqcO5JRmhEkIIYQgpqESNUhSF966OTv3nngCcrC1MHNGtFelk2wQhhBC3JwWVqFHbzqWxJzYdjbmal3rU7tEpuPbmyDLlJ4QQ4uakoBI1qmzt1JOdffFysDJxNLcnN0cWQghhCCmoRI05mpDFxjMpqFXwaq8gU4djkKIS2TZBCCHE7UlBJWrMh9tK9516oI03ga62Jo7GMLIPlRBCCENIQSVqRFxGPssj44HSjTzrikKd7JQuhBDi9qSgEjXi0+0xFOsUegS60MnPydThGExujiyEEMIQUlCJapdVoGXxnlgApvauO6NTcO0+VDJCJYQQ4uakoBLV7qs9F8kqKCbUw47BoR6mDqdS/t0pXUaohBBC3JwUVKJaaUt0fPzPeaD0yj61WmXiiCrn30XpMkIlhBDi5qSgEtXql8MJxGUW4Gmv4dH2jUwdTqXJrWeEEEIYQgoqUW0UReH/tpZulfBCtwCsLOpeUSI3RxZCCGEIKahEtfk7KpUjCVnYWJrx7D0Bpg6nSmSESgghhCGkoBLVpmx0akJnP1xsLE0cTdXIzZGFEEIYQgoqUS2OJ2axKar0NjMv9wg0dThVVlgii9KFEELcnhRUolp8uiMGgBGtvGjiamPiaKqmRKejRNEBslO6EEKIW5OCShhdWm4RPxyIA2By97o7OqW9un4KZMpPCCHErUlBJYzuqz2xFBTraOvjQPdAF1OHU2VFUlAJIYQwkBRUwqiKS3R8vvMCUDo6pVLVrY08r1V2Y2SQq/yEEELcmhRUwqhWHk8iLrMAdztLHm7nY+pw7kjR1QXp5io1apX8UxFCCHFz8i4hjOqTq7eZmdTFv05u5Hkt/ZYJMjolhBDiNqSgEkZz8FIGOy+kY2GmqrMbeV6rbMsE2SVdCCHE7UhBJYzmk+2lWyWMDvPB28HKxNHcuX9HqKSgEkIIcWtSUAmjSMoq4OfD8UDd3irhWvrbzsgVfkIIIW5DCiphFF/uuYi2RKGLvzOd/JxMHY5RyI2RhRBCGEoKKnHHikt0fLknFoAXujUxcTTGIzdGFkIIYSj5r7e4Y3+evEz81a0S7m/jVS3nSM7P5vCVhBs+VlxczCFtOhYJUZibG+9X+mBa6W7vMuUnhBDidqSgEnds4dWNPCd09kNjbvziI7Ugl45/fsKl3IxbN4w4bvRzA1iZWVRLv0IIIeoPKajEHYlOyeHv6FRUKnimi3+1nGPe0Qh9MRXmUnGzUEVRyMrKwsHBweg7s5upVLzUortR+xRCCFH/SEEl7sii3aVrp+4N9SDAxcbo/SuKwq8XjgDwR+9x3B/QukIbrVbLunXrGDx4MBYWMpokhBCi5smidFFl+doSvt13CaDaNvLcl3qRS7kZ2Jpbcm/j0Go5hxBCCHGnpKASVfbr4QTS87X4O1tzb6hHtZzj9wtHARjq2wJrcxl9EkIIUTtJQSWq7ItdFwCYeLc/Zmrjrl2C0um+soLqwYA2Ru9fCCGEMBYpqESVHIrLZO/FDCzMVEy4y69aznEwLY4LOenYmFvIdJ8QQohaTQoqUSWLdl8A4P7W3njaa6rlHGWjU0MaN8fG3LJaziGEEEIYgxRUotJyC4v56VDpJpvVtVXCtdN9o2S6TwghRC0nBZWotN+OJJJdWEygqw09A12r5RyHryRwLjsNKzNzBjduXi3nEEIIIYxFCipRad/svwjAk519UVfDYnT4d7pvcOPm2FlUz5SiEEIIYSxSUIlKiUrJYfv5K6hVML6Tb7WcQ1EUfru6madM9wkhhKgLpKASlfLN3tKNPAeFetDI0bpaznEsPZHorFQ0ZuYM9ZXpPiGEELWfFFTCYMUlOpYeKC2oJnSunq0S4N/pvkGNQrC3sKq28wghhBDGIgWVMNi6U8kkZRfibmfJ0Bae1XYeubpPCCFEXSM3RxYGW7KvdDH62A6NsTQ3Ti2ekJdJQUmx/vsL2Vc4lZmMpdqMYb4tjHIOIYQQorpJQSUMkphVwF+nkgGMtjP6pye3M3nv6hs+NqBRMxwtq2eNlhBCCGFsUlAJgyw7GE+JTuFuf2eae9obpc/tl2MA0JiZY6Ey0x+3tbDk5RY9jHIOIYQQoiZIQSUM8mNkHADjOjY2Wp/J+TkALO32MA8FtjVav0IIIURNk0Xp4raOJWZxJCELCzMVo9v6GK3flILSgsrD2s5ofQohhBCmIAWVuK0fD5aOTg1p7omLjfFuUpx8taByt7I1Wp9CCCGEKUhBJW5Jp1NYFhkPwOMdjDfdV6wr4UphPgAeVjJCJYQQom6rMwVVVFQU9913H25ubjg4ONCtWze2bNly0/ZarZZp06bRunVrbG1t8fHxYezYsSQkJFS63/3799O3b1+cnJxwdnZm4MCBHDlypFryrG22nksjPrMAJ2sLhrTwMFq/aYV5KCioUOGqkREqIYQQdVudKaiGDh1KcXExERERHDx4kLCwMIYOHUpSUtIN2+fl5REZGcmsWbOIjIxkxYoVnDlzhuHDh1eq35ycHAYNGoSfnx979+5lx44d2NvbM3DgQLRabbXnbWpl032jw7zRmJvdprXhytZPuWpsMFPXmV9DIYQQ4obqxFV+qampREdHs2TJEtq0Kd09e968eSxcuJDjx4/j5eVV4TmOjo6Eh4eXO7ZgwQI6d+7MxYsX8fPzM6jf06dPc+XKFebOnYuvb+nNgGfPnk2bNm2IjY2ladOm1Zy96eQVFfP70UTAuNN98O8VfrIgXQghRH1QJwoqV1dXQkJC+P7772nfvj0ajYbFixfj4eFBhw4dDO4nMzMTlUqFk5OTwf2GhITg6urKkiVLeP311ykpKWHJkiU0b96cgICAm56rsLCQwsJC/fdZWVlA6VRkdYxslfVpzL5XHk0ku7CYAGdrOjWyN2rfibmlr4ebpc0d91sdudcVkrvk3tBI7pK7qc59OypFUZRqjsUo4uLiGDFiBJGRkajVajw8PPjrr79o166dQc8vKCiga9euhIaGsmzZskr1e/z4cUaMGEFMTOlGlMHBwWzcuBF/f/+bnu/NN99kzpw5FY4vX74cGxsbQ9M2qbePqzhwRcWDfgqPBhj312RtQTxf553nHks3/mvX3Kh9CyGEEMaSl5fHI488QmZmJg4ODjdtZ9KCavr06bz//vu3bHPq1ClCQkIYMWIEWq2WGTNmYG1tzddff82aNWvYv38/3t7et+xDq9XywAMPEBcXx9atW/UviKIot+03Pz+fXr16ERoayvPPP09JSQn/93//x+nTp9m/fz/W1je+PcqNRqh8fX1JTU295Q+kqrRaLeHh4fTv3x8LC4s77i8jX0ujtyPQligcfrkbLTyNOzX35pFw3j0WwaRmd/Np5/vuqC9j516XSO6Su+TecEjupsk9KysLNze32xZUJp3ye+WVVxg/fvwt2wQGBhIREcHatWtJT0/XJ7Nw4ULCw8NZunQp06dPv+nztVoto0ePJjY2loiIiHIvhiH9Ll++nAsXLrB7927UVxdPL1++HGdnZ1avXs3DDz98w/NqNBo0Gk2F4xYWFtX6y2Cs/tcdTkJbotDKy56wxs5GiKy8tKI8ALxsHIz2elT3a1ubSe6Se0MjuUvuNXlOQ5i0oHJ3d8fd3f227fLySt981dddDaZWq9HpdDd9XlkxFR0dzZYtW3B1da10v3l5eajValQqVbnHVSrVLc9d1/16pHR7CWPujH4tWZQuhBCiPqkT16t36dIFZ2dnxo0bx5EjR4iKimLq1KnExMQwZMgQfbvQ0FBWrlwJlBZTo0aN4sCBAyxbtoySkhKSkpJISkqiqKjI4H779+9Peno6zz33HKdOneLEiRM88cQTmJub07t375p/MWpAel4Rm86kAPBgm1tPp16voFjL4bT4237E5qYDsku6EEKI+qFOXOXn5ubGhg0bmDFjBn369EGr1dKyZUtWr15NWFiYvt2ZM2fIzMwEID4+njVr1gDQtm3bcv1t2bKFXr16GdRvaGgof/75J3PmzKFLly6o1WratWvHhg0bbrt2q65aeSyJYp1CG28HQj3tK/XcHusXsj/1ksHt3WWXdCGEEPVAnSioADp27MjGjRtv2eba9fUBAQEYst7ekH779+9P//79DQu0Hvh3uq9yBaOiKESmld6mxtPaHrNrpklvJNjBjc5uflULUgghhKhF6kxBJWpGWm4Rf0enAjA6rHLrp/JLtJQopevKzj4wHTuLiovyhRBCiPqoTqyhEjVn5bFESnQK7Ro5EOxeuem4rKICAFSosDW3rI7whBBCiFpJCipRjn66r5KjUwDZ2tJ9t+wtNOWuihRCCCHqOymohF56XhFbzqYBMKoKBVXW1YLKQab6hBBCNDBSUAm9daeSKdaVbubZ1K3y2xlkaUun/OyloBJCCNHASEEl9FYdTwJgRCuvKj2/bMrPwdLKaDEJIYQQdYEUVAKAAm0J608nA3BfFQuqshEqBwspqIQQQjQsUlAJADZHp5JbVEIjRys6NHasUh9lV/nJlJ8QQoiGRgoqAZSf7qvqFXrZsihdCCFEAyUbewpKdAprTpRfP5WUl8XG+DPouP1u82V2Jl8AZMpPCCFEwyMFlWBvbDrJOUU4WpnTM8iVc1mp3PPXApILcqrUn7PG2sgRCiGEELWbFFRCP93XJdSCz0/vYOnZAyQX5OBkaU1Xj4BK9eVgacX4pp2qIUohhBCi9pKCSvDnycugKmG7soUN+0rXQblobDhy3xQa2zqZNjghhBCiDpCCqoG7cCWP08k5qJyukFtSiJvGlkGNQ3gmpIsUU0IIIYSBpKBq4DZc3XvKxSudNODpkLt4t8Ng0wYlhBBC1DFSUDVwP5w+Dk0PkGaeC8Cjge1NHJEQQghR90hB1YCdy7zCLuUfsNIB0NUjgJbOVdslXQghhGjIpKBqwF7ZvQHUOswL7dkyYiwd3BqbOiQhhBCiTpKCqgHblRwDQFfbdnTzamLiaIQQQoi6S24900DpFB2pxZkA3Nc0yMTRCCGEEHWbFFQN1IGkyygqHehUjGkpo1NCCCHEnZCCqoF6aOsPAFgptng52Jg4GiGEEKJuk4KqATqfncaFgtL9p5rbNTJxNEIIIUTdJwVVA7TiwrHSL7SWfNJ5hEljEUIIIeoDKagaoOXRRwGwzgzgngA3E0cjhBBC1H1SUDUwaQW5HM68BEBfzxDM1CoTRySEEELUfVJQNTDr4k6joEC+LfeHytV9QgghhDFIQdXA/HK+dLqPbFcGhXqYNhghhBCinpCCqgEpKNbyd2IUACFW/ng7WJk4IiGEEKJ+kIKqAdmSdJZCnRa0ljwQ3MzU4QghhBD1hhRUDcjK2OOlX2S5Mbi5p2mDEUIIIeoRKagaCJ2iY8WFEwDYFXpwl5+TaQMSQggh6hEpqBqIvSkXSSvKgRIzBvk2w9xMfvRCCCGEsci7agPxS8yR0i+yXRna3Nu0wQghhBD1jBRUDUBecRFLow8AoM7yZGgLWT8lhBBCGJMUVA3AithjZGjzociKXp7BuNpamjokIYQQol6RgqoB2HE5pvSLTDceaO1j2mCEEEKIekgKqgZgZ1Js6Rf5Doxo5WXaYIQQQoh6SAqqei6vuIiTmUkAdHb3xcdRdkcXQgghjE0KqnouMjUOHQpoLXmmg+yOLoQQQlQHKajquV+jSu/dZ1bowOi2jUwcjRBCCFE/SUFVz608V1pQtXVujJ3G3MTRCCGEEPWTvMPWUxvjzzB2288kK9mggmfCWpk6JCGEEKLekhGqeuq9o5tJLiwtpiwVDWNCm5s6JCGEEKLekhGqeuhkRhLbks4DoI5px/anB2JnoTFxVEIIIUT9JSNU9UyJTsdDm38q/SbLlVc6taOzr5tpgxJCCCHqORmhquMu52eTW1xEUlY2O7OzeXf1jxzPjYcSM+6y6MQ7g0NNHaIQQghR70lBVcd1/WsB57LT/j2gLf3UWunA3xN6YWEmg5BCCCFEdZOCqo6zs9Bga25JQRHoSsBabc1Y/y583rcvarXK1OEJIYQQDYIUVHXc4fumAJCTX8jmTRsYPHgwFhYWJo5KCCGEaFhkPqie0JjLj1IIIYQwFXkXFkIIIYS4Q1JQCSGEEELcISmohBBCCCHukBRUQgghhBB3SAoqIYQQQog7JAWVEEIIIcQdkoJKCCGEEOIOSUElhBBCCHGHpKASQgghhLhDdaagioqK4r777sPNzQ0HBwe6devGli1bbtpeq9Uybdo0Wrduja2tLT4+PowdO5aEhIRy7SIjI+nfvz9OTk64uroyceJEcnJyyrW5ePEiQ4YMwcbGBg8PD6ZOnUpxcXG15CmEEEKIuqfOFFRDhw6luLiYiIgIDh48SFhYGEOHDiUpKemG7fPy8oiMjGTWrFlERkayYsUKzpw5w/Dhw/VtEhIS6NevH02bNmXv3r1s2LCBEydOMH78eH2bkpIShgwZQlFREbt27WLp0qV89913vPHGG9WdshBCCCHqiDpxc+TU1FSio6NZsmQJbdq0AWDevHksXLiQ48eP4+XlVeE5jo6OhIeHlzu2YMECOnfuzMWLF/Hz82Pt2rVYWFjw+eefo1aX1paLFi2iTZs2nD17lqZNm7Jp0yZOnjzJ33//jaenJ23btuWtt95i2rRpvPnmm1haWlb/CyCEEEKIWq1OFFSurq6EhITw/fff0759ezQaDYsXL8bDw4MOHToY3E9mZiYqlQonJycACgsLsbS01BdTANbW1gDs2LGDpk2bsnv3blq3bo2np6e+zcCBA3n22Wc5ceIE7dq1u+G5CgsLKSws1H+flZUFlE5FarVag2M2VFmf1dF3bSe5S+4NjeQuuTc0pszd0HPWiYJKpVLx999/M2LECOzt7VGr1Xh4eLBhwwacnZ0N6qOgoIBp06YxZswYHBwcAOjTpw9Tpkzhgw8+YPLkyeTm5jJ9+nQAEhMTAUhKSipXTAH672823Qjw3nvvMWfOnArHV61ahY2NjUExV8Xq1aurre/aTnJvmCT3hklyb5hMkXteXh4AiqLcuqFiQtOmTVOAW36cOnVK0el0yvDhw5V7771X2bFjh3Lw4EHl2WefVRo1aqQkJCTc9jxFRUXKsGHDlHbt2imZmZnlHlu2bJni6empmJmZKZaWlsqrr76qeHp6KvPmzVMURVGefvppZcCAAeWek5ubqwDKunXrbnrOgoICJTMzU/9x8uTJ2+YqH/IhH/IhH/IhH7Xz49KlS7esNVSKcruSq/qkpKSQlpZ2yzaBgYFs376dAQMGkJ6erh9dAggODmbChAn6UaUb0Wq1jB49mvPnzxMREYGrq+sN212+fBlbW1tUKhUODg78/PPPPPjgg7zxxhusWbOGw4cP69vGxMQQGBhIZGTkTaf8rqfT6UhISMDe3h6VSmXQcyojKysLX19fLl26VO41aggkd8ldcm84JHfJvaZzVxSF7OxsfHx8yi0Rup5Jp/zc3d1xd3e/bbuy4bbrE1Gr1eh0ups+r6yYio6OZsuWLTctpuDfabxvvvkGKysr+vfvD0CXLl145513SE5OxsPDA4Dw8HAcHBxo0aLFbWO/NtbGjRsb3L6qHBwcGtw/tDKSu+Te0EjukntDY6rcHR0db9umTmyb0KVLF5ydnRk3bhxHjhwhKiqKqVOnEhMTw5AhQ/TtQkNDWblyJVBaTI0aNYoDBw6wbNkySkpKSEpKIikpiaKiIv1zFixYQGRkJFFRUXz++ec8//zzvPfee/qF6wMGDKBFixY8/vjjHDlyhI0bNzJz5kyee+45NBpNjb4OQgghhKid6sSidDc3NzZs2MCMGTPo06cPWq2Wli1bsnr1asLCwvTtzpw5Q2ZmJgDx8fGsWbMGgLZt25brb8uWLfTq1QuAffv2MXv2bHJycggNDWXx4sU8/vjj+rZmZmasXbuWZ599li5dumBra8u4ceOYO3du9SYthBBCiDqjThRUAB07dmTjxo23bHPtcrCAgIDbr8gHvv/++9u28ff3Z926dbcP0oQ0Gg2zZ89ukKNmkrvk3tBI7pJ7Q1MXcjfponQhhBBCiPqgTqyhEkIIIYSozaSgEkIIIYS4Q1JQCSGEEELcISmohBBCCCHukBRU9cTnn39OQEAAVlZW3HXXXezbt8/UIRnVe++9R6dOnbC3t8fDw4MRI0Zw5syZcm0KCgp47rnncHV1xc7OjgceeIDLly+bKOLqM2/ePFQqFS+99JL+WH3OPT4+nsceewxXV1esra1p3bo1Bw4c0D+uKApvvPEG3t7eWFtb069fP6Kjo00YsXGUlJQwa9YsmjRpgrW1NUFBQbz11lvlrl6uL7n/888/DBs2DB8fH1QqFatWrSr3uCF5XrlyhUcffRQHBwecnJyYMGECOTk5NZhF1dwqd61Wy7Rp02jdujW2trb4+PgwduxYEhISyvVRH3O/3qRJk1CpVHz88cfljtem3KWgqgd++eUXpkyZwuzZs4mMjCQsLIyBAweSnJxs6tCMZtu2bTz33HPs2bOH8PBwtFotAwYMIDc3V9/m5Zdf5s8//+S3335j27ZtJCQkcP/995swauPbv38/ixcvpk2bNuWO19fc09PT6dq1KxYWFqxfv56TJ0/y4Ycflrsp+vz58/n0009ZtGgRe/fuxdbWloEDB1JQUGDCyO/c+++/zxdffMGCBQs4deoU77//PvPnz+ezzz7Tt6kvuefm5hIWFsbnn39+w8cNyfPRRx/lxIkThIeHs3btWv755x8mTpxYUylU2a1yz8vLIzIyklmzZhEZGcmKFSs4c+YMw4cPL9euPuZ+rZUrV7Jnzx58fHwqPFarcr/tnYVFrde5c2flueee039fUlKi+Pj4KO+9954Jo6peycnJCqBs27ZNURRFycjIUCwsLJTffvtN3+bUqVMKoOzevdtUYRpVdna2EhwcrISHhys9e/ZUJk+erChK/c592rRpSrdu3W76uE6nU7y8vJQPPvhAfywjI0PRaDTKTz/9VBMhVpshQ4YoTz75ZLlj999/v/Loo48qilJ/cweUlStX6r83JM+ym8/v379f32b9+vWKSqVS4uPjayz2O3V97jeyb98+BVBiY2MVRan/ucfFxSmNGjVSjh8/rvj7+ysfffSR/rHalruMUNVxRUVFHDx4kH79+umPqdVq+vXrx+7du00YWfUq2xHfxcUFgIMHD6LVasu9DqGhofj5+dWb1+G5555jyJAh5XKE+p37mjVr6NixIw8++CAeHh60a9eOr776Sv94TEwMSUlJ5XJ3dHTkrrvuqvO533PPPWzevJmoqCgAjhw5wo4dO7j33nuB+p37tQzJc/fu3Tg5OdGxY0d9m379+qFWq9m7d2+Nx1ydMjMzUalU+tuj1efcdTodjz/+OFOnTqVly5YVHq9tudeZndLFjaWmplJSUqK/uXMZT09PTp8+baKoqpdOp+Oll16ia9eutGrVCoCkpCQsLS31f2TKeHp6kpSUZIIojevnn38mMjKS/fv3V3isPud+/vx5vvjiC6ZMmcLrr7/O/v37efHFF7G0tGTcuHH6/G70+1/Xc58+fTpZWVmEhoZiZmZGSUkJ77zzDo8++ihAvc79WobkmZSUpL95fRlzc3NcXFzq1WtRUFDAtGnTGDNmjP4GwfU59/fffx9zc3NefPHFGz5e23KXgkrUOc899xzHjx9nx44dpg6lRly6dInJkycTHh6OlZWVqcOpUTqdjo4dO/Luu+8C0K5dO44fP86iRYsYN26ciaOrXr/++ivLli1j+fLltGzZksOHD/PSSy/h4+NT73MXFWm1WkaPHo2iKHzxxRemDqfaHTx4kE8++YTIyEhUKpWpwzGITPnVcW5ubpiZmVW4ouvy5ct4eXmZKKrq8/zzz7N27Vq2bNlC48aN9ce9vLwoKioiIyOjXPv68DocPHiQ5ORk2rdvj7m5Oebm5mzbto1PP/0Uc3NzPD09623u3t7etGjRotyx5s2bc/HiRQB9fvXx93/q1KlMnz6dhx9+mNatW/P444/z8ssv89577wH1O/drGZKnl5dXhYtwiouLuXLlSr14LcqKqdjYWMLDw/WjU1B/c9++fTvJycn4+fnp/+7FxsbyyiuvEBAQANS+3KWgquMsLS3p0KEDmzdv1h/T6XRs3ryZLl26mDAy41IUheeff56VK1cSERFBkyZNyj3eoUMHLCwsyr0OZ86c4eLFi3X+dejbty/Hjh3j8OHD+o+OHTvy6KOP6r+ur7l37dq1wvYYUVFR+Pv7A9CkSRO8vLzK5Z6VlcXevXvrfO55eXmo1eX/RJuZmaHT6YD6nfu1DMmzS5cuZGRkcPDgQX2biIgIdDodd911V43HbExlxVR0dDR///03rq6u5R6vr7k//vjjHD16tNzfPR8fH6ZOncrGjRuBWph7jS+DF0b3888/KxqNRvnuu++UkydPKhMnTlScnJyUpKQkU4dmNM8++6zi6OiobN26VUlMTNR/5OXl6dtMmjRJ8fPzUyIiIpQDBw4oXbp0Ubp06WLCqKvPtVf5KUr9zX3fvn2Kubm58s477yjR0dHKsmXLFBsbG+XHH3/Ut5k3b57i5OSkrF69Wjl69Khy3333KU2aNFHy8/NNGPmdGzdunNKoUSNl7dq1SkxMjLJixQrFzc1N+e9//6tvU19yz87OVg4dOqQcOnRIAZT//e9/yqFDh/RXshmS56BBg5R27dope/fuVXbs2KEEBwcrY8aMMVVKBrtV7kVFRcrw4cOVxo0bK4cPHy73t6+wsFDfR33M/Uauv8pPUWpX7lJQ1ROfffaZ4ufnp1haWiqdO3dW9uzZY+qQjAq44ce3336rb5Ofn6/85z//UZydnRUbGxtl5MiRSmJioumCrkbXF1T1Ofc///xTadWqlaLRaJTQ0FDlyy+/LPe4TqdTZs2apXh6eioajUbp27evcubMGRNFazxZWVnK5MmTFT8/P8XKykoJDAxUZsyYUe6NtL7kvmXLlhv++x43bpyiKIblmZaWpowZM0axs7NTHBwclCeeeELJzs42QTaVc6vcY2Jibvq3b8uWLfo+6mPuN3Kjgqo25a5SlGu23RVCCCGEEJUma6iEEEIIIe6QFFRCCCGEEHdICiohhBBCiDskBZUQQgghxB2SgkoIIYQQ4g5JQSWEEEIIcYekoBJCCCGEuENSUAkhhBBC3CEpqIQQDdL48eMZMWKEyc7/+OOP8+677xrU9uGHH+bDDz+s5oiEEHdCdkoXQtQ7KpXqlo/Pnj2bl19+GUVRcHJyqpmgrnHkyBH69OlDbGwsdnZ2t21//PhxevToQUxMDI6OjjUQoRCisqSgEkLUO0lJSfqvf/nlF9544w3OnDmjP2ZnZ2dQIVNdnnrqKczNzVm0aJHBz+nUqRPjx4/nueeeq8bIhBBVJVN+Qoh6x8vLS//h6OiISqUqd8zOzq7ClF+vXr144YUXeOmll3B2dsbT05OvvvqK3NxcnnjiCezt7WnatCnr168vd67jx4//fzt3DJLaF8cB/NszSdFA6JokgRGJRlhdiaCGBikhyK2CBocgh4ikNQiHhobGimoKEsSCqIYGa8ihWkxEpIIKIduKEoPQEpT/8K/Lk1f/P3ifjzd8P3DB+7v3cM65g3w593AxODgIrVYLg8EAt9uNp6enb8dWKBSws7MDl8tVUl9dXYXZbIZKpYLBYMDw8HDJdZfLha2tLfkPh4gqgoGKiOjD5uYmBEFAJBLB9PQ0JicnMTIygt7eXsRiMTidTrjdbmSzWQBAJpOBw+GAKIqIRqMIhUJ4eHjA6Ojot30kEgm8vLygq6tLqkWjUXi9XszPz+P6+hqhUAh9fX0l7bq7uxGJRPD+/l6ZyRORLAxUREQfOjo6MDc3B7PZjNnZWahUKgiCAI/HA7PZDJ/Ph+fnZyQSCQDAysoKRFHEwsICrFYrRFHExsYGwuEwbm5uvuwjlUpBoVCgvr5eqt3f30Oj0WBoaAgmkwmiKMLr9Za0MxqNyOfzJa8ziejvwUBFRPShvb1d+q1QKFBXVwebzSbVDAYDAODx8RHAv5vLw+GwtCdLq9XCarUCAJLJ5Jd95HI51NTUlGycHxgYgMlkQnNzM9xuNwKBgLQK9kmtVgPAL3Ui+jswUBERfVAqlSXnVVVVJbXPEFQsFgEAr6+vcLlciMfjJcft7e0vr+w+CYKAbDaLfD4v1WpraxGLxRAMBtHQ0ACfz4eOjg5kMhnpnnQ6DQDQ6/W/Za5E9HsxUBERlclut+Py8hJNTU1oaWkpOTQazZdtOjs7AQBXV1cl9erqavT392NxcRGJRAJ3d3c4Pj6Wrl9cXKCxsRGCIFRsPkRUPgYqIqIyTU1NIZ1OY2xsDOfn50gmkzg8PMT4+DgKhcKXbfR6Pex2O05PT6XawcEBlpaWEI/HkUql4Pf7USwWYbFYpHtOTk7gdDorPiciKg8DFRFRmYxGI87OzlAoFOB0OmGz2TAzMwOdTocfP77/e52YmEAgEJDOdToddnd34XA40NraivX1dQSDQbS1tQEA3t7esL+/D4/HU/E5EVF5+GFPIqI/LJfLwWKxYHt7Gz09Pf97/9raGvb29nB0dPQHRkdE5eAKFRHRH6ZWq+H3+//zA6A/UyqVWF5ervCoiEgOrlARERERycQVKiIiIiKZGKiIiIiIZGKgIiIiIpKJgYqIiIhIJgYqIiIiIpkYqIiIiIhkYqAiIiIikomBioiIiEgmBioiIiIimf4B9GcbuEQqZPQAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Function.compare_plots(\n", + " [(test_flight.latitude, \"RocketPy\"), (cots_gnss_flight.latitude, \"Actual - GNSS\")],\n", + " title=\"Latitude Comparison\",\n", + " xlabel=\"Time (s)\",\n", + " ylabel=\"Latitude (deg)\",\n", + ")\n", + "Function.compare_plots(\n", + " [\n", + " (test_flight.longitude, \"RocketPy\"),\n", + " (cots_gnss_flight.longitude, \"Actual - GNSS\"),\n", + " ],\n", + " title=\"Longitude Comparison\",\n", + " xlabel=\"Time (s)\",\n", + " ylabel=\"Longitude (deg)\",\n", + ")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/rocketpy/simulation/flight.py b/rocketpy/simulation/flight.py index a43ec15de..4b3d4e088 100644 --- a/rocketpy/simulation/flight.py +++ b/rocketpy/simulation/flight.py @@ -506,6 +506,7 @@ def __init__( # pylint: disable=too-many-arguments,too-many-statements verbose=False, name="Flight", equations_of_motion="standard", + simulation_mode="3 DOF", ): """Run a trajectory simulation. @@ -605,6 +606,7 @@ def __init__( # pylint: disable=too-many-arguments,too-many-statements self.terminate_on_apogee = terminate_on_apogee self.name = name self.equations_of_motion = equations_of_motion + self.simulation_mode = simulation_mode # Controller initialization self.__init_controllers() @@ -1187,9 +1189,15 @@ def __init_solver_monitors(self): def __init_equations_of_motion(self): """Initialize equations of motion.""" - if self.equations_of_motion == "solid_propulsion": + if self.equations_of_motion == "solid_propulsion" and self.simulation_mode == '6 DOF': # NOTE: The u_dot is faster, but only works for solid propulsion self.u_dot_generalized = self.u_dot + elif self.equations_of_motion == "solid_propulsion" and self.simulation_mode == '3 DOF': + # NOTE: The u_dot is faster, but only works for solid propulsion + self.u_dot_generalized = self.u_dot_3dof + elif self.simulation_mode == '3 DOF': + # NOTE: The u_dot is faster, but only works for solid propulsion + self.u_dot_generalized = self.u_dot_generalized_3dof def __init_controllers(self): """Initialize controllers and sensors""" @@ -1369,6 +1377,241 @@ def udot_rail2(self, t, u, post_processing=False): """ # Hey! We will finish this function later, now we just can use u_dot return self.u_dot_generalized(t, u, post_processing=post_processing) + def u_dot_3dof( + self, t, u, post_processing=False + ): # pylint: disable=too-many-locals,too-many-statements + """Calculates derivative of u state vector with respect to time + when rocket is flying in 6 DOF motion during ascent out of rail + and descent without parachute. + + Parameters + ---------- + t : float + Time in seconds + u : list + State vector defined by u = [x, y, z, vx, vy, vz, e0, e1, + e2, e3, omega1, omega2, omega3]. + post_processing : bool, optional + If True, adds flight data information directly to self + variables such as self.angle_of_attack, by default False + + Returns + ------- + u_dot : list + State vector defined by u_dot = [vx, vy, vz, ax, ay, az, + e0dot, e1dot, e2dot, e3dot, alpha1, alpha2, alpha3]. + """ + + # Retrieve integration data + _, _, z, vx, vy, vz, e0, e1, e2, e3, omega1, omega2, omega3 = u + # Determine lift force and moment + omega1, omega2, omega3 = 0, 0, 0 + R1, R2, M1, M2, M3 = 0, 0, 0, 0, 0 + # Determine current behavior + if t < self.rocket.motor.burn_out_time: + # Motor burning + # Retrieve important motor quantities + # Inertias + motor_I_33_at_t = 0 + motor_I_11_at_t = 0 + motor_I_33_derivative_at_t = self.rocket.motor.I_33.differentiate( + t, dx=1e-6 + ) + motor_I_11_derivative_at_t = self.rocket.motor.I_11.differentiate( + t, dx=1e-6 + ) + # Mass + mass_flow_rate_at_t = self.rocket.motor.mass_flow_rate.get_value_opt(t) + propellant_mass_at_t = self.rocket.motor.propellant_mass.get_value_opt(t) + # Thrust + thrust = self.rocket.motor.thrust.get_value_opt(t) + # Off center moment + M1 += 0 * thrust + M2 -= 0 * thrust + else: + # Motor stopped + # Inertias + ( + motor_I_33_at_t, + motor_I_11_at_t, + motor_I_33_derivative_at_t, + motor_I_11_derivative_at_t, + ) = (0, 0, 0, 0) + # Mass + mass_flow_rate_at_t, propellant_mass_at_t = 0, 0 + # thrust + thrust = 0 + + # Retrieve important quantities + # Inertias + rocket_dry_I_33 = 0 + rocket_dry_I_11 = 0 + # Mass + rocket_dry_mass = self.rocket.dry_mass # already with motor's dry mass + total_mass_at_t = propellant_mass_at_t + rocket_dry_mass + mu = (propellant_mass_at_t * rocket_dry_mass) / ( + propellant_mass_at_t + rocket_dry_mass + ) + # Geometry + # b = -self.rocket.distance_rocket_propellant + b = ( + 0 + ) + c = 0 + nozzle_radius = self.rocket.motor.nozzle_radius + # Prepare transformation matrix + a11 = 1 - 2 * (e2**2 + e3**2) + a12 = 2 * (e1 * e2 - e0 * e3) + a13 = 2 * (e1 * e3 + e0 * e2) + a21 = 2 * (e1 * e2 + e0 * e3) + a22 = 1 - 2 * (e1**2 + e3**2) + a23 = 2 * (e2 * e3 - e0 * e1) + a31 = 2 * (e1 * e3 - e0 * e2) + a32 = 2 * (e2 * e3 + e0 * e1) + a33 = 1 - 2 * (e1**2 + e2**2) + # Transformation matrix: (123) -> (XYZ) + K = Matrix([[a11, a12, a13], [a21, a22, a23], [a31, a32, a33]]) + Kt = K.transpose + + # Calculate Forces and Moments + # Get freestream speed + wind_velocity_x = self.env.wind_velocity_x.get_value_opt(z) + wind_velocity_y = self.env.wind_velocity_y.get_value_opt(z) + speed_of_sound = self.env.speed_of_sound.get_value_opt(z) + free_stream_speed = ( + (wind_velocity_x - vx) ** 2 + (wind_velocity_y - vy) ** 2 + (vz) ** 2 + ) ** 0.5 + free_stream_mach = free_stream_speed / speed_of_sound + + # Determine aerodynamics forces + # Determine Drag Force + if t < self.rocket.motor.burn_out_time: + drag_coeff = self.rocket.power_on_drag.get_value_opt(free_stream_mach) + else: + drag_coeff = self.rocket.power_off_drag.get_value_opt(free_stream_mach) + rho = self.env.density.get_value_opt(z) + R3 = -0.5 * rho * (free_stream_speed**2) * self.rocket.area * drag_coeff + for air_brakes in self.rocket.air_brakes: + if air_brakes.deployment_level > 0: + air_brakes_cd = air_brakes.drag_coefficient.get_value_opt( + air_brakes.deployment_level, free_stream_mach + ) + air_brakes_force = ( + -0.5 + * rho + * (free_stream_speed**2) + * air_brakes.reference_area + * air_brakes_cd + ) + if air_brakes.override_rocket_drag: + R3 = air_brakes_force # Substitutes rocket drag coefficient + else: + R3 += air_brakes_force + # Off center moment + M1 += 0 * R3 + M2 -= 0 * R3 + # Get rocket velocity in body frame + vx_b = a11 * vx + a21 * vy + a31 * vz + vy_b = a12 * vx + a22 * vy + a32 * vz + vz_b = a13 * vx + a23 * vy + a33 * vz + # Calculate lift and moment for each component of the rocket + velocity_in_body_frame = Vector([vx_b, vy_b, vz_b]) + w = Vector([omega1, omega2, omega3]) + for aero_surface, _ in self.rocket.aerodynamic_surfaces: + # Component cp relative to CDM in body frame + comp_cp = self.rocket.surfaces_cp_to_cdm[aero_surface] + # Component absolute velocity in body frame + comp_vb = velocity_in_body_frame + (w ^ comp_cp) + # Wind velocity at component altitude + comp_z = z + (K @ comp_cp).z + comp_wind_vx = self.env.wind_velocity_x.get_value_opt(comp_z) + comp_wind_vy = self.env.wind_velocity_y.get_value_opt(comp_z) + # Component freestream velocity in body frame + comp_wind_vb = Kt @ Vector([comp_wind_vx, comp_wind_vy, 0]) + comp_stream_velocity = comp_wind_vb - comp_vb + comp_stream_speed = abs(comp_stream_velocity) + comp_stream_mach = comp_stream_speed / speed_of_sound + # Reynolds at component altitude + # TODO: Reynolds is only used in generic surfaces. This calculation + # should be moved to the surface class for efficiency + comp_reynolds = ( + self.env.density.get_value_opt(comp_z) + * comp_stream_speed + * aero_surface.reference_length + / self.env.dynamic_viscosity.get_value_opt(comp_z) + ) + # Forces and moments + X, Y, Z, M, N, L = aero_surface.compute_forces_and_moments( + comp_stream_velocity, + comp_stream_speed, + comp_stream_mach, + rho, + comp_cp, + w, + comp_reynolds, + ) + R1 += X + R2 += Y + R3 += Z + M1 += 0 + M2 += 0 + M3 += 0 + # Off center moment + M3 += 0 * R2 - 0 * R1 + + # Calculate derivatives + # Angular acceleration + alpha1 = 0 + alpha2 = 0 + alpha3 = 0 + # Euler parameters derivative + e0dot = 0.5 * (-omega1 * e1 - omega2 * e2 - omega3 * e3) + e1dot = 0.5 * (omega1 * e0 + omega3 * e2 - omega2 * e3) + e2dot = 0.5 * (omega2 * e0 - omega3 * e1 + omega1 * e3) + e3dot = 0.5 * (omega3 * e0 + omega2 * e1 - omega1 * e2) + + # Linear acceleration + L = [ + ( + R1 + - b * propellant_mass_at_t * (omega2**2 + omega3**2) + - 2 * c * mass_flow_rate_at_t * omega2 + ) + / total_mass_at_t, + ( + R2 + + b * propellant_mass_at_t * (alpha3 + omega1 * omega2) + + 2 * c * mass_flow_rate_at_t * omega1 + ) + / total_mass_at_t, + (R3 - b * propellant_mass_at_t * (alpha2 - omega1 * omega3) + thrust) + / total_mass_at_t, + ] + ax, ay, az = K @ Vector(L) + az -= self.env.gravity.get_value_opt(z) # Include gravity + + # Create u_dot + u_dot = [ + vx, + vy, + vz, + ax, + ay, + az, + e0dot, + e1dot, + e2dot, + e3dot, + alpha1, + alpha2, + alpha3, + ] + + if post_processing: + self.__post_processed_variables.append( + [t, ax, ay, az, alpha1, alpha2, alpha3, R1, R2, R3, M1, M2, M3] + ) + return u_dot def u_dot( self, t, u, post_processing=False @@ -1664,6 +1907,200 @@ def u_dot( ) return u_dot + def u_dot_generalized_3dof( + self, t, u, post_processing=False + ): # pylint: disable=too-many-locals,too-many-statements + """Calculates derivative of u state vector with respect to time when the + rocket is flying in 3 DOF motion in space and significant mass variation + effects exist. Typical flight phases include powered ascent after launch + rail. + + Parameters + ---------- + t : float + Time in seconds + u : list + State vector defined by u = [x, y, z, vx, vy, vz, q0, q1, + q2, q3, omega1, omega2, omega3]. + post_processing : bool, optional + If True, adds flight data information directly to self variables + such as self.angle_of_attack, by default False. + + Returns + ------- + u_dot : list + State vector defined by u_dot = [vx, vy, vz, ax, ay, az, + e0_dot, e1_dot, e2_dot, e3_dot, alpha1, alpha2, alpha3]. + """ + # Retrieve integration data + _, _, z, vx, vy, vz, e0, e1, e2, e3, omega1, omega2, omega3 = u + + # Create necessary vectors + # r = Vector([x, y, z]) # CDM position vector + v = Vector([vx, vy, vz]) # CDM velocity vector + e = [e0, e1, e2, e3] # Euler parameters/quaternions + w = Vector([0, 0, 0]) # Angular velocity vector + + # Retrieve necessary quantities + ## Rocket mass + total_mass = self.rocket.total_mass.get_value_opt(t) + total_mass_dot = self.rocket.total_mass_flow_rate.get_value_opt(t) + total_mass_ddot = self.rocket.total_mass_flow_rate.differentiate_complex_step(t) + ## CM position vector and time derivatives relative to CDM in body frame + r_CM_z = self.rocket.com_to_cdm_function + r_CM_t = r_CM_z.get_value_opt(t) + r_CM = Vector([0, 0, r_CM_t]) + r_CM_dot = Vector([0, 0, r_CM_z.differentiate_complex_step(t)]) + r_CM_ddot = Vector([0, 0, r_CM_z.differentiate(t, order=2)]) + ## Nozzle position vector + r_NOZ = Vector([0, 0, self.rocket.nozzle_to_cdm]) + ## Nozzle gyration tensor + S_nozzle = self.rocket.nozzle_gyration_tensor + ## Inertia tensor + inertia_tensor = 0 + ## Inertia tensor time derivative in the body frame + I_dot = 0 + + # Calculate the Inertia tensor relative to CM + H = 0 + I_CM = 0 + + # Prepare transformation matrices + K = Matrix.transformation(e) + Kt = K.transpose + + # Compute aerodynamic forces and moments + R1, R2, R3, M1, M2, M3 = 0, 0, 0, 0, 0, 0 + + ## Drag force + rho = self.env.density.get_value_opt(z) + wind_velocity_x = self.env.wind_velocity_x.get_value_opt(z) + wind_velocity_y = self.env.wind_velocity_y.get_value_opt(z) + wind_velocity = Vector([wind_velocity_x, wind_velocity_y, 0]) + free_stream_speed = abs((wind_velocity - Vector(v))) + speed_of_sound = self.env.speed_of_sound.get_value_opt(z) + free_stream_mach = free_stream_speed / speed_of_sound + + if t < self.rocket.motor.burn_out_time: + drag_coeff = self.rocket.power_on_drag.get_value_opt(free_stream_mach) + else: + drag_coeff = self.rocket.power_off_drag.get_value_opt(free_stream_mach) + R3 += -0.5 * rho * (free_stream_speed**2) * self.rocket.area * drag_coeff + for air_brakes in self.rocket.air_brakes: + if air_brakes.deployment_level > 0: + air_brakes_cd = air_brakes.drag_coefficient.get_value_opt( + air_brakes.deployment_level, free_stream_mach + ) + air_brakes_force = ( + -0.5 + * rho + * (free_stream_speed**2) + * air_brakes.reference_area + * air_brakes_cd + ) + if air_brakes.override_rocket_drag: + R3 = air_brakes_force # Substitutes rocket drag coefficient + else: + R3 += air_brakes_force + # Get rocket velocity in body frame + velocity_in_body_frame = Kt @ v + # Calculate lift and moment for each component of the rocket + for aero_surface, _ in self.rocket.aerodynamic_surfaces: + # Component cp relative to CDM in body frame + comp_cp = self.rocket.surfaces_cp_to_cdm[aero_surface] + # Component absolute velocity in body frame + comp_vb = velocity_in_body_frame + (w ^ comp_cp) + # Wind velocity at component altitude + comp_z = z + (K @ comp_cp).z + comp_wind_vx = self.env.wind_velocity_x.get_value_opt(comp_z) + comp_wind_vy = self.env.wind_velocity_y.get_value_opt(comp_z) + # Component freestream velocity in body frame + comp_wind_vb = Kt @ Vector([comp_wind_vx, comp_wind_vy, 0]) + comp_stream_velocity = comp_wind_vb - comp_vb + comp_stream_speed = abs(comp_stream_velocity) + comp_stream_mach = comp_stream_speed / speed_of_sound + # Reynolds at component altitude + # TODO: Reynolds is only used in generic surfaces. This calculation + # should be moved to the surface class for efficiency + comp_reynolds = ( + self.env.density.get_value_opt(comp_z) + * comp_stream_speed + * aero_surface.reference_length + / self.env.dynamic_viscosity.get_value_opt(comp_z) + ) + # Forces and moments + X, Y, Z = aero_surface.compute_forces_and_moments( + comp_stream_velocity, + comp_stream_speed, + comp_stream_mach, + rho, + comp_cp, + w, + comp_reynolds, + ) + R1 += X + R2 += Y + R3 += Z + + # No Off center moment for 3DOF + thrust = self.rocket.motor.thrust.get_value_opt(t) + + + weight_in_body_frame = Kt @ Vector( + [0, 0, -total_mass * self.env.gravity.get_value_opt(z)] + ) + + T00 = total_mass * r_CM + T03 = 2 * total_mass_dot * (r_NOZ - r_CM) - 2 * total_mass * r_CM_dot + T04 = ( + Vector([0, 0, thrust]) + - total_mass * r_CM_ddot + - 2 * total_mass_dot * r_CM_dot + + total_mass_ddot * (r_NOZ - r_CM) + ) + T05 = total_mass_dot * S_nozzle - I_dot + + T20 = ( + ((w ^ T00) ^ w) + + (w ^ T03) + + T04 + + weight_in_body_frame + + Vector([R1, R2, R3]) + ) + + T21 = ( + ((inertia_tensor @ w) ^ w) + + T05 @ w + - (weight_in_body_frame ^ r_CM) + + Vector([M1, M2, M3]) + ) + + # Angular velocity derivative + w_dot = I_CM.inverse @ (T21 + (T20 ^ r_CM)) + + # Velocity vector derivative + v_dot = K @ (T20 / total_mass - (r_CM ^ w_dot)) + + # Euler parameters derivative + e_dot = [ + 0.5 * (-omega1 * e1 - omega2 * e2 - omega3 * e3), + 0.5 * (omega1 * e0 + omega3 * e2 - omega2 * e3), + 0.5 * (omega2 * e0 - omega3 * e1 + omega1 * e3), + 0.5 * (omega3 * e0 + omega2 * e1 - omega1 * e2), + ] + + # Position vector derivative + r_dot = [vx, vy, vz] + + # Create u_dot + u_dot = [*r_dot, *v_dot, *e_dot, *w_dot] + + if post_processing: + self.__post_processed_variables.append( + [t, *v_dot, *w_dot, R1, R2, R3, M1, M2, M3] + ) + + return u_dot def u_dot_generalized( self, t, u, post_processing=False