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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# automatically reflect changes in imported modules\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"from pathlib import Path\n",
"import numpy as np\n",
"import scipy.integrate as spi\n",
"import matplotlib.pyplot as plt\n",
"import astropy.units as u\n",
"from astropy.visualization import quantity_support\n",
"quantity_support()\n",
"\n",
"import utils\n",
"import utils.logging_config\n",
"utils.logging_config.set_log_level(\"info\")\n",
"import logging\n",
"logger = logging.getLogger(\"task2 (mesh)\")\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"DATA_ROOT = Path('data')\n",
"# DATA_NAME = 'data0.txt'\n",
"# DATA_NAME = 'data1.txt'\n",
"# DATA_NAME = 'data0_noise.txt'\n",
"DATA_NAME = 'data1_noise.txt'\n",
"CACHE_ROOT = Path('.cache')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:09:40 - utils.load - Loaded 9913 rows and 9 columns from data/data1_noise.txt\n",
"19:09:40 - task2 (mesh) - Softening length: 0.037\n"
]
}
],
"source": [
"points, columns = utils.load_data(DATA_ROOT / DATA_NAME)\n",
"logger.debug(f\"Fetched {points.shape[0]} points, columns: {columns}\")\n",
"\n",
"softenings = points[:, -1]\n",
"assert np.all(softenings == softenings[0]), \"Softening lengths are not uniform\"\n",
"SOFTENING = softenings[0]\n",
"logger.info(f\"Softening length: {SOFTENING}\")\n",
"\n",
"# reorder the columns to match the expected order (x, y, z, mass)\n",
"particles = points[:, [2, 3, 4, 1]]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"utils.particles_plot_3d(particles[:, :3], particles[:, 3], title=\"Particle distribution\")\n",
"# Note: colormap corresponds to the mass of the particles\n",
"utils.particles_plot_2d(particles)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Also consider the velocity distribution\n",
"velocities = points[:, [5, 6, 7]]\n",
"r = np.linalg.norm(particles[..., :3], axis=-1)\n",
"v = np.linalg.norm(velocities, axis=-1)\n",
"plt.figure()\n",
"plt.plot(r, v, 'o')\n",
"plt.xlabel('r')\n",
"plt.ylabel('v')\n",
"plt.show()\n",
"\n",
"## Check the velocity direction\n",
"radial_velocities = np.zeros_like(v)\n",
"circular_velocities = np.zeros_like(v)\n",
"for i in range(particles.shape[0]):\n",
" if r[i] > 0:\n",
" radial_velocities[i] = np.abs(np.dot(velocities[i], particles[i, :3]) / r[i])\n",
" circular_velocities[i] = np.linalg.norm(np.cross(particles[i, :3], velocities[i])) / r[i]\n",
" else:\n",
" radial_velocities[i] = 0\n",
" circular_velocities[i] = 0\n",
"\n",
"plt.figure()\n",
"plt.plot(r, radial_velocities, 'o', label=\"Radial velocity\")\n",
"plt.plot(r, circular_velocities, 'o', label=\"Circular velocity\")\n",
"plt.xlabel('r')\n",
"plt.ylabel('v')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### System characteristics\n",
"- central black hole with mass $\\sim 10 \\%$\n",
"- particles orbit circularly in the equatorial plane\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Choice of units\n",
"Recap of the particle properties:\n",
"- $\\sim 10^4$ particles\n",
"- around 1 black hole (10% of the mass)\n",
"\n",
"$\\implies$ ???"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:09:41 - task2 (mesh) - Considering a globular cluster - total mass of stars: 9.999999999999998, maximum radius of particles: 0.9096731180509756\n",
"19:09:41 - utils.units - Set scales: M_SCALE = 1e+03 solMass, R_SCALE = 1.1 pc\n",
"19:09:41 - task2 (mesh) - Black hole mass: 1e+03 solMass\n"
]
}
],
"source": [
"# Set G = 1\n",
"G = 1\n",
"\n",
"# from the particle number we can estimate the total (stellar) mass, excluding the BH\n",
"M_TOT = 1e4 * u.M_sun\n",
"# the radius aound the black hole follows from ??? # TODO\n",
"R_TOT = 1 * u.pc\n",
"\n",
"# Rescale the units of the particles - considering only the orbiting stars\n",
"M_particles = particles[:,3].sum() - 1\n",
"R_particles = np.max(np.linalg.norm(particles[:, :3], axis=1))\n",
"\n",
"logger.info(f\"Considering a globular cluster - total mass of stars: {M_particles}, maximum radius of particles: {R_particles}\")\n",
"m_scale = M_TOT / M_particles\n",
"r_scale = R_TOT / R_particles\n",
"utils.seed_scales(r_scale, m_scale)\n",
"logger.info(f\"Black hole mass: {utils.apply_units(particles[0, -1], \"mass\"):.2g}\")\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"tags": [
"plot_particle_distribution"
]
},
"outputs": [
{
"data": {
"image/png": 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ChmFclqlUKqhUqqD209HRgf7+fqxZs0ZalpmZieXLl6OmpgYbNmxATU0NsrKysHTpUmmdNWvWgGVZ7Nu3D1dddRVqampwwQUXQKlUSuusXbsWjz76KPR6PbKzs0M808hABQOFQqFQkgKLxYIp6nTowUdkf+np6ZNiCO6//3488MADQe2nv78fAFBQUOCyvKCgQHqvv78f+fn5Lu/L5XJotVqXdcrKyibtQ3yPCgYKhUKhUALAZrNBDx4vpcxAapgheCYI2GQ4jp6eHmg0Gml5sNaFswkqGCgUCoWSVKSCRSojC28nxPGPRqNxEQyhUFhYCAAYGBhAUVGRtHxgYACLFi2S1hkcHHTZjuM46HQ6afvCwkIMDAy4rCP+La4TT2iWBIVCoVCSCkbOgA3zxcgZ/wcKkLKyMhQWFmLv3r3SsvHxcezbtw9VVVUAgKqqKoyOjuLgwYPSOh988AEEQcDy5culdT755BPY7XZpnT179mDOnDlxd0cAVDBQKBQKJclgFGxEXsFgMBhQX1+P+vp6AI5Ax/r6enR3d4NhGNxxxx146KGH8K9//QuHDx/GDTfcgClTpuDKK68EAFRWVuLSSy/FzTffjK+++gqff/45tm7dig0bNmDKlCkAgO9+97tQKpW46aab0NjYiFdffRVPPfUUtm3bFsnLFzLUJUGhUCgUih8OHDiAr33ta9Lf4iS+adMmvPjii7jrrrtgNBqxZcsWjI6O4vzzz8e7776LlJQUaZtXXnkFW7duxerVq8GyLNavX4+nn35aej8zMxPvv/8+br/9dixZsgS5ubm47777XGo1xBOGEELiPQgKhUKhUPwxPj6OzMxMvJlbgTQ2vBgGo8DjquEWjI2NhR3DcLZALQwUCoVCSSoYBQOGDS8GgREiF8NwtkBjGCgUCoVCofiFWhgoFAqFklSwcgZsmBYGlloYgoYKBgqFQqEkFdQlER+oYKBQKBRKUsHKGLCyMC0MPBUMwUJjGCgUCoVCofiFWhgoFAqFklQwMgZMmBYGBtTCECxUMFAoFAolqYiIS4IKhqChLgkKhUKhUCh+oRYGCoVCoSQVDBuBLAlCLQzBQgUDhUKhUJIKRsaCkYVnIGdAuyIEC3VJUCgUCoVC8Qu1MFAoFAolqaBBj/GBCgYKhUKhJBUMQys9xgPqkqBQKBQKheIXamGgUCgUSlLByBC2S4KhMY9BQwUDhUKhUJKKiFR6pGmVQUMFA4VCoVCSCoZlwbBhplWGuf3ZCL1iFAqFQqFQ/EItDBQKhUJJKiJS6THM7c9GqGCgxBxCHNFGDEN/sBQKJXgiUoeBxjAEDRUMlJhCCIHdbofZbIZMJoNcLodMJoNMJgNLfYoUCoWSsFDBQIkZPM/DbrdDEATpZbPZAAAsy0Iul1MBQaFQ/EJdEvGBCgZK1CGEgOM4cBwHQggYhgHLspIgIIRAEATY7XbY7XYADncFFRAUCsUTDBOBLAmG3k+ChQoGSlQRBAEcx4HneQAOS4IoGkQYhoFMJpP+dhcQBoMBVqsVhYWFkoCQy+U0BoJCoVBiCBUMlKjgPOmLAkGc4AkhPgMf3QWEwWDA8PAwcnJyYLPZJAuFKBxEEUEFBIVydkBdEvGBCgZKxCGEwGw2g+d5yRIQzmQubi+Xy6X9i2LEWUC4uzCogKBQzkwikiVBm08FDRUMlIgiTuRHjhxBamoqZs2aFZH9ihYJwNUCIS4XAyitVisVEBQKhRIFqGCgRARCCHieB8dxEAQhogGKviZ68T0qICiUswfqkogPVDBQwkasreAc2MgwjItVIBLHCARfAsJqtfpM46QCgkJJDmgvifhABQMlLMQnedGqIE66YjZEJAg3/gGAJArEgEtCyCQBoVAopEBK53OhUCiJBbUwxAcqGCghIbogxCwITxOsN8EQykQcSfHhLCKcBYTFYpHWEQWEaIGgAoJCoZztUMFACRpvLghn/Lkkgpl8ozlRUwFBoSQf1MIQH6hgoASFc3lnX5MmwzAQBCFix41kPIQvAhUQ7jUgqICgUGIHFQzxgQoGSkA4l3cGPFsVnInk5BnPidibgBCDKC0Wi1TmmgoICoVyJkMFA8UvYm0F0WIQSMpkJC0Mkc64CAf3IlSigOB5HjzPw2q14uTJkygsLIRaraYCgkKJAg4LQ7hZEvT3GCxUMFC84lxR0Z8Lwp1IT46JIhjcEQWEcyOt48ePIysrCyzLSnUgnFt5R6L6JYVyNsOw4Vd6ZHj6+wsWKhgoHgkksNEXkbYwJAviWEX3hGiB4DgOdrtdEgqe+mAk03lSKJSzDyoYKJMQrQo8z4dsSj9bLAyecC9j7W6B8CYgxDoQtJU3heIbGvQYH6hgoEh4Ku8c6sQfybiDM+nJO1AB4V6FkgoICuU0tNJjfKCCgQIgfBeEO/EqDZ0oBBPr4UlAiJ04Ac9lrKmAoFAosYYKBkrAtRWCgVoYQsOfgKAWCAqFuiTiBRUMZzHB1lYIhkAqPQYjKJLJwhDJsXoSEGKMid1ul9ZxFhBiFgaFcqZCBUN8oILhLMW9tkKko/SphSE6iAGSIs4CQrRAsCzrMQuDQjlToDEM8YEKhrMM5wmGEBK1dD5fgmFgYAAtLS1ITU1FdnY2srOzkZGR4XMcyWRhAGIncoIREM5ZGFRAUCiUYKGC4SzCPbAxmrn/ngSDIAhoaWnByZMnMXPmTPA8D71ej87OTjAMI4mH7OxspKamSmNLpEqPiY6zgBCvmScB4R4DQQUEJZmgLon4QAXDWYIgCDAYDKitrcXy5cujHiTnPsmbTCbU19eDYRhUVVVBoVCAEIKSkhJpbDqdDkNDQzh69CjkcrkkHpyfoBOdRBI2zj0wAFcBYbPZpCqUdrsdcrkcaWlpVEBQkgLqkogPVDCc4TjXVuB5HmNjYzE5rrNg6O/vx5EjR1BcXIw5c+ZIk5QIy7LQaDTQaDQoLS2FIAgYGxuDXq9HX1+fNObm5mZkZ2dDq9VCqVTG5DxCJREnXG8C4vjx4xAEATNnzgTgOY0zEc+HQqHEFioYzmDcXRDiRCGmT0YTsTR0Y2Mj+vv7sWDBAhQUFEjj8gXLspJ1AQB0Oh2OHDkChUKBnp4eNDU1IS0tTVonKysLCoUiqudzJuIsAkRhIKZxWq1Wn3UgqICgxBWGcbzC3QclKKhgOEPxVFvB/ckymthsNkxMTAAAqqqqkJqaGvK+xDoD4hOw3W6HXq+HXq/HsWPHYDKZkJGRIVkfMjMz4+bGSCSXRKAQQqTviKdW3qKAEF0YLMtCoVDQTpyUuMEwEYhhoN/ZoKGC4QxDdEGIWRDON3Px30g1hfJGX18fWltbIZfLIxIv4f7DVigUyM/PR35+PgDAarVKAqK5uRk2mw2ZmZmSBUKj0dDCRj4Qs2Xc8SUgLBaLtA4VEBTK2QEVDGcQgiBIsQrA5EJMzsV/ogHP82hubsbAwABKS0sxNDQUsYna15hVKhUKCwtRWFgIQgjMZrMkIE6cOAFBECQBodVqkZ6eHvUJLZkmTG+CwZ1ABYR7DQgqICiRhgY9xgcqGM4AAq2tEE0Lg8FgQENDA2QyGaqrq2EwGDA4OOh33IFOVIHCMAxSU1ORmpqK4uJiEEJgNBolAeEvhfNsJNDPwR1vAkIQBElAsCw7KQaCCghKuNC0yvhABUOS417e2V9tBZZlI25hOHnyJBobGzFt2jTMmjULLMvCaDQmRPMphmGQnp6O9PT0gFI4s7OzoVarYz7OeBKqYHDHm4DgeR48z8NisVABQaEkMVQwJDGiVYHneZd+A74QsxciAc/zaGpqwuDgIBYtWoS8vDyX4yRiaWh/KZytra1QqVSS+yI7OzvhUzjDRYx1iTTeGmmJAsI9iNK5DwYVEBRfUJdEfKCCIQlxrq0QbIfJSFkYDAYD6uvroVAosHLlSqSkpLi8nyztrd1TODmOkwREV1cXGhsbQ0rhTKYJL1IWBn/4EhAcx0nve+qDkUzXkxJ9GDZ8lwJD9ULQUMGQZLjXVgjWnBsJC0Nvby+ampowffp0zJw50+PTaaJaGPwhl8uRk5ODnJwcAImdwhkpYiUY3PEmIDiOg91udxEQzn0waMYLhcYwxAcqGJIIsaRvsFYFZ8KxMHAch6amJgwPD09yQbgTacEQr9iAYFM4w6k3ES/iJRjcoQKCQklsqGBIAnzVVgiWUC0MExMTqK+vh1KpRHV19SQXhKfjJGMAoD/8pXCKlp8TJ04gNzc3Jimc4SIIQkKO0ZeAMBqNOH78OObOnTupCiUVEGcBLOt4hbsPSlBQwZDghOuCcCdYCwMhBL29vWhubkZpaSnKy8sDDq70dpxgx5+o4sNTCuf4+DgOHjyIsbExdHd3J0UKZ6JYGPzhLCCsVitGRkakviRiJ06GYaiAOAuIRFxLMnznEw0qGBIYT+WdwyUYCwPHcWhsbMTIyAgWL16M3NzcoI7ja5I/E3+sDMMgLS0NADB//nywLBvVFM5IkSyCwRnR0ia+xGVi5pDY3MxdQIhZGBQKJXioYEhA3GsrRDJPPVALw8TEBOrq6pCSkoKVK1dCpVIFdZwzJYYhHJIlhTMZBYOnBmrO/VIAVwHhyQLhnIVBSS5oWmV8oFcswRADG6MhFgD/FgZCCHp6evDll19iypQpOO+884IWC+JxIj3JJ4No8DVGMYVzxowZWLJkCVatWoU5c+ZALpejq6sLn332Gfbt24e2tjYMDQ25tACP9piTbdIMpOOqc4qmGCQJODJfTCYTJiYmMD4+DoPBAKvVCo7jkuI7RjmdJRHuK1B4nse9996LsrIyqNVqlJeX4ze/+Y3L94UQgvvuuw9FRUVQq9VYs2YN2tvbXfaj0+mwceNGaDQaZGVl4aabboLBYIjYdYk21MKQIDg/DUXSBeGOLwsDx3E4cuQI9Ho9zj33XCm1MBSSNa0yliRKCueZKhjcCcQCQVt5Uzzx6KOP4tlnn8VLL72EefPm4cCBA9i8eTMyMzPx4x//GADwu9/9Dk8//TReeukllJWV4d5778XatWvR1NQkBYlv3LgRfX192LNnD+x2OzZv3owtW7Zg165d8Ty9gKGCIQGIdGCjL7xZGMbHx1FfXw+1Wo3q6uqQrAruRDqGIZkmtlDGGa8unMl0XUVCEQzuOAsI8bsqWvicq1BSAZGAMBHIkgiictMXX3yBK664AuvWrQMAlJaW4m9/+xu++uorAI7vz/bt23HPPffgiiuuAAC8/PLLKCgowO7du7FhwwY0Nzfj3Xffxf79+7F06VIAwB/+8AdcdtlleOyxxzBlypTwzicGUMEQZ5zLO8eipr67hUF0QbS2tmLGjBmYMWNGRMbgHIhGo5lDI1ZdOJNVMETaVQeACohkIQKFmxDE9tXV1XjuuefQ1taG2bNno6GhAZ999hmeeOIJAEBHRwf6+/uxZs0aaZvMzEwsX74cNTU12LBhA2pqapCVlSWJBQBYs2YNWJbFvn37cNVVV4V3PjGACoY4IdZWOHbsGBQKBaZMmRKz8ryihcFut6OxsRF6vR5LliyBVquN+PG8TUbBuCvE7ZPBvxytMUazC2eyCoZopkt6EhDiy2q1wmazAQAVEGcA4+PjLn+rVKpJFta7774b4+PjqKiogEwmA8/zePjhh7Fx40YAQH9/PwCgoKDAZbuCggLpvf7+fsl6KCKXy6HVaqV1Eh0qGOKAswtiYmICKpUqZjcZ0cIwNjaG+vp6pKWlYeXKlRGPzne2MFAiTyS7cFLB4B9vnThFAeGtkRbtxBkdGIYFE2YzCHH7kpISl+X3338/HnjgAZdl//jHP/DKK69g165dmDdvHurr63HHHXdgypQp2LRpU1jjSCaoYIgx7rUVxJtPLBkZGUF7ezvKy8tRVlYW1RtaJM4tmSwMIrGeJMJJ4YxWt8poEmvB4I4vAWGxWKR1RAFBW3lHGJYJyqXgdR8Aenp6oNFopMWe4rd+9rOf4e6778aGDRsAAAsWLEBXVxceeeQRbNq0CYWFhQCAgYEBFBUVSdsNDAxg0aJFAIDCwkIMDg667JfjOOh0Omn7RIcKhhjhrbYCy7IRazftD7vdjrGxMXAch6VLl0odGqNBsk1AZxreunDqdLpJXTjFdtPJRLwFgzuBCgj3TpxUQIRGJOswiELbFyaTadL3TSaTSffusrIyFBYWYu/evZJAGB8fx759+3DrrbcCAKqqqjA6OoqDBw9iyZIlAIAPPvgAgiBg+fLlYZ1LrKCCIQY4p0sCrjcXlmVjkm8vuiAAYOrUqVEVC854EkOCIKCrqws8zyMnJwcZGRk+b5rJZGFI1DH6SuHkOA719fVJ1YUz0QSDO94EhCAIOHToEDIzM1FUVDQpBoIKiMTkm9/8Jh5++GFMmzYN8+bNQ11dHZ544gnceOONAByf9x133IGHHnoIs2bNktIqp0yZgiuvvBIAUFlZiUsvvRQ333wzdu7cCbvdjq1bt2LDhg1JkSEBUMEQVZzzvEU/sfvNINoWBkIIurq60N7ejpkzZ8JoNMbkhuTtZm61WtHQ0ACLxYLU1FT09PQAgPQ0rNVqoVar6U0zyjincA4MDGD+/Pmw2WzQ6XRRTeGMFIkuGNxx/u07V50UBAFWqxUWi0Uqc00FhH9i3d76D3/4A+69917cdtttGBwcxJQpU/DDH/4Q9913n7TOXXfdBaPRiC1btmB0dBTnn38+3n33XZdGfa+88gq2bt2K1atXg2VZrF+/Hk8//XRY5xFLqGCIEu61Fbw1S2FZNmrmYJvNhiNHjmB8fFxyQTQ1NcX0KdhZDOl0OjQ0NECr1WLhwoWSiJqYmHAJ1lMoFJKfXavVQi53fE0T9endE8l0kyeEQKVSQavV+k3hFD+XeHfhTMa4CxFBEKSASBHRAiG6h9yDKLu6ulBQUBAzy2DCwzBB1VHwuo8AycjIwPbt27F9+3Yfu2Pw4IMP4sEHH/S6jlarTZoiTZ6ggiEKBFNbIdjukYEyOjqK+vp6aDQaVFdXSwFu0TqeO87nTAhBR0cHjh07hjlz5qCkpAQ8z4PjODAM4xKsx/O85Gvv6elBU1OT1NBJp9MhLy8voU3lyYh7loS/FM6Ojo64d+FMNguDM+J9wRlvrbzF38nmzZtxyy23nFUR+ZTEgwqGCOL8Aw+0vHOkXRKEEHR2duLo0aOYNWsWpk+fPmkyiEWAm3hMq9WKpqYmTExMYNmyZcjMzPS5nUwmg1arlWpC2Gw26PV6NDY24vjx42hubnYpVpSRkZFQE0cyWUFE/BVB8pTCOTExAb1eH7cunOJTejLC87xf0esuIIxGI9LT02MxvKQg1i4JioPk/MUlIKGWd46kS8Jms+Hw4cOYmJjAeeedh6ysLI/Hi+WkVldXh4yMDFRVVbnUegj0aVSpVCI/Px+NjY0499xzQQiBTqdzMZU7pwrG+knXG4kwhkAQvwvBjJdlWWRmZiIzM1OyCo2Pj09K4RQ/k2h04Yx0pcdYEohgcIYQApPJJFnaKHCUhQ73QSGBHjSSBSoYIoBYPjaUplGRsjDo9Xo0NDRAo9Fg5cqVUCgUUT2eLwghOHHiBABHpbOKioqwbu7O26rVahQXF0umcrFY0fDwsBT/4CwgItET40wmFMHgjkwmm5TCOTo6Cr1ePymFMzs7G1lZWV6/n4GSzC4JQRCCdqsZDAZkZGREaUQUSmBQwRAGogtCzIIIJaLZOZc31DGI8QGeXBDu+GtvHS4cx6GpqQnDw8NgWRYlJSUReRL01P2SYRhkZGQgIyMD06dPl5503eMfRAGRlZUVdTN2srkkIiEY3JHL5cjNzUVubi4A7104RVEXSgpnMguGYC0MAHVJuOMtiDzYfVCCgwqGEBEEARzHhd1hMpwnfpvNhkOHDsFoNAYUHyAeL1qTmsFgQH19PRQKBaqrq/HZZ595PZYY1BVJnJ90y8vLXSaq9vZ2WCwWaDQaaaJKtFTBeBANweCOpy6colsp1BTOZBUMgiAEneEhuiSoYHAixt0qKQ6oYAiSQGorBEOogkFMUczKykJ1dXXAJt5oWRj6+vpw5MgRTJs2DbNmzZIEVKREQSj7cp+oPKUKZmVlSQIiLS0tYtaQZCEWgsEdlUqFoqIiFBUVhZzCmayCQXzACMbCYDabIQgCFQyUuEMFQxC4l3eOhFksWMFACMHx48dx/PhxKUUx2JiJSD7ZC4KA1tZW9Pb2YuHChS7d2CIpGCKBWq2GWq3GlClTpFRBnU4HnU6HY8eOSZH+4kTlXHDlTCUegsGZUFM4k1UwiL/1YASD0WgEACoYnKBZEvGBCoYAca6t4JzuFC7BCAar1YpDhw7BbDYH7IJwJ5KTuNlsRn19PQghqK6uRmpqatSOFWnx4ZwqOG3aNJdmTb29vWhpaYFarXaJ9A8k/iGRBFIgiONNlMk30BRO8fPKzMyMegpnJAmkNos7BoMBMpnsrBCwAcOwESjclBjf+WSCCgY/hFJbIRgCFQwjIyM4dOgQsrOzsXjx4pCD9yKVJTE0NIRDhw6hoKAAlZWVHp+YEs3C4AvnZk0zZswAx3EugXpms3lSoF6iTLLhkOifj7cUziNHjkCv1+PkyZNRT+GMJJ6KNvnDZDIlTLpwwhDBbpWUwKGCwQeh1lYIBn8TOCEEx44dQ0dHR0guCHfCjWEghODo0aPo7OzE3LlzUVxc7PNYiWph8IdcLkdeXh7y8vIAABaLBXq9HjqdDidPngTHcS79L5zjH5Lpxh6JOJxYIga2KhQKzJ49GxqNJuopnJEklAwJg8EQ91LcFApABYNXwqmtEAyiYHAvzwu4uiCWL1/utwVroMcLdeK12WxoaGiA2WzGihUr/OaFR3qSj+fTcEpKikugnuhn1+l06OjoAMuyknBI9Kd2Zzx975IB8XfpnsJps9kkARGpFM5IEmpKJS3a5ArDsGDCdCmEu/3ZCBUMbkSitkIwONeOdz7OyMgIGhoakJOTE5YLwp1QLQx6vR719fVBuUR8CYZgr2kiTWqe/Oxi/YfBwUEQQlBTUyOVuE60p1xnkl0wuCNWBo1kCmekxx2sYBCrPCbj5xQ1qEsiLlDB4EQsXBDuiDcr8QbobPKvrKxEcXFxxGMmgnkCdm6PPXv2bEybNi3g8ZxJFgZfsCyLrKwsZGVloaCgAF999RVmzZoFnU6H48ePw2g0QqPRSO6LRIp/ONMEgzuRSOGMJKG6JKiFgZIIUMFwCp7nMTIygvb2dixZsiRmN1Hx5iEIAiwWCw4dOgSr1RqQyT8UgrEwcByHw4cPY2xszGtvCn/HimQMQ7LAsqyLmdxqtUrui8bGRnAch6ysLElAxNM/faYLBmcSoQtnKEGPtMrjZBiWBROm6A53+7ORs14wONdW4HkeExMTMb2BiscaGhpCa2srcnNzce6550athHGgFoaJiQnU1dVBrVa7tMcOhki6JIDEtTD4Q6VSobCwEIWFhVLVPtFM3tnZ6ZKhodVqY5ommIxNnMTiaZEoDRzrLpzUwhAhGMbxCncflKA4qwWDWFtBfOJWKBQxaf3sjDgJNjY2Yu7cuZg6dWpUjxfIU/+JEyfQ3NyMsrIylJeXh3xjPhstDP7Ol2EYpKWlIS0tzWWS0ul0GBgYQFtbG1JSUlwKSEUz/iEZLQzRqh0RSBdO8bMJNYUzFMFAO1VSEoWzUjA4l3d2zoKIZKvpQLBYLGhoaAAALFy4EAUFBVE/pq80Tp7n0dzcjIGBASxevFgyqYeKP8EQ7ESVrBYGXzhPUmVlZeA4DmNjY9DpdOjs7MSRI0eQkZHhEv8QySj/ZBQM4vc32nEg0ejCGUrQI3VJeIBlItDeOrm+94nAWScYfAU2ymQyqSlStG+iYuGj/Px8GAyGmFVx8xbDYDQaUV9fD5lMhpUrV0ZkPGejhQEIb6xyuRw5OTnIyckB4EgTdI7yt9vtUpS/VqtFRkZGWMejgiFwAknhFINbvaVwhuqSEL8PlFNQl0RcOKsEg3N5Z08ZEOIPmef5qMUQCIKA9vZ2dHd3S4WPPvroo6i2nHbGUwzDwMAADh8+jOLiYsyZMydiN+KzJUsimiiVSpf4B7PZLAmI7u5uAHBxX6jV6qAEABUMoeOewikW9/KVwhnKvcVkMmH69OnROAUKJSjOCsEQaHnnaAsGs9mMhoYGcByHqqoqycwYqXLNgeBsYRAEAW1tbThx4gTmz5+PwsLCiB8rWSs9hko0x+gc5T916lQIggCDweAS/6BSqVwEhD8fe7IKhkSsTule3MtTCqdMJkNGRgYmJiYCzo4xGo2T+rSc7dAsifhwxguGYGoriMujMXkPDg7i8OHDHnsvxFIwiE9lonjheR5VVVVRCao6W10SsYJlWWg0Gmg0GilIz93Hnp6eLomHrKysSeZwsThZMpEMY/aWwtnY2AiLxYLa2tqAUzhpDIMHaPOpuHBGXzGe52G1WsFxnBTU6GviYRgGMpksooGPgiCgpaUFDQ0NqKysxPz58yfdtGNtYQCAmpoapKWlYcWKFVGLwD5bXRLxEjcymQw5OTmYOXMmli1bhvPPPx/Tp0+H3W5Ha2srPvnkE9TW1qKzsxNjY2Mxi9eJNMnY2lpM4VQqlZg2bRpWrVqFhQsXIiMjA0NDQ9i/fz8+//xzNDY24uTJkzCbzdK24QiGHTt2oLS0FCkpKVi+fDm++uorn+u/9tprqKioQEpKChYsWID//Oc/Xte95ZZbwDAMtm/fHtLYwoJhTld7DPWVZN/7ROCMtDA411YAgqvYGMlMCbH9syAIqK6u9joxx0owiFUbAaC8vDzqflFfgqGvrw/Dw8OS+dyf6TzZJrVEQKlUoqCgAAUFBS4mcp1OJ8U/qNVq2O12mEymoOMf4kUyCgYRMX7KVwrnyZMn0drair1796K7uxsnTpyQ7mXB8Oqrr2Lbtm3YuXMnli9fju3bt2Pt2rVobW2V4i6c+eKLL3DdddfhkUceweWXX45du3bhyiuvRG1tLebPn++y7ptvvokvv/wSU6ZMCflaUJKPM04wuNdWCNbXKZPJIjJ5DwwM4MiRIygsLERFRYXPyOhYCAabzYZDhw7BaDQCAIqKiqJ6PMCzYBAtLn19fcjPz0dPTw+ampok07mv1MFksDAk6hg9mcgnJibQ3d0Ns9mMr776CgqFQnJfBCLi4kWyCwZP323nFE6xvTrHcXjjjTcwNDSEH/zgB3jiiSewevVqfPOb38Tq1av9HuuJJ57AzTffjM2bNwMAdu7cibfffhvPP/887r777knrP/XUU7j00kvxs5/9DADwm9/8Bnv27MEzzzyDnTt3Suv19vbiRz/6Ed577z2sW7cu1EsRFrT5VHw4YwSDc22FcFr2huuSEAQBra2t6O3txbx58wKamKNd/2F0dBT19fXQaDRYsWIFPvzww5hMbO6CwWKxSBaX5cuXQy6Xg2VZ2Gw26clXTB3MysqSBARtvBN5GIaBRqNBTk4O7HY7zjnnHIyNjUGv10siLi0tzSX+IVqZQ8FyJgoGd+RyOb7+9a9jzZo12LNnD1588UWYTCbs3bsXH330kV/BYLPZcPDgQfziF7+QlrEsizVr1qCmpsbjNjU1Ndi2bZvLsrVr12L37t3S34Ig4Hvf+x5+9rOfYd68eX7PI2rQ5lNxITHuAGHiHtgYTgR1OILBZDKhoaEBhJCgAgmjZWEghKC7uxttbW2YOXMmSktLpfdi4QJxFgw6nQ719fXIy8vD3LlzwTAMbDYbgMmmc7F0sti8SS6XQxAE6HQ6aDSahH3yFUkmcSOKa5lMJgm08vJy2O12ScS1t7fDYrFAo9FI62RkZMRt0k5mwRBq4aapU6diwYIFWL9+fUDbDA8Pg+f5ScXgCgoK0NLS4nGb/v5+j+v39/dLfz/66KOQy+X48Y9/HNQ5UM4Mkl4w+KutECyhTt79/f04cuQIpkyZgjlz5gR1Uwi2g2QgcByHI0eOQK/XY8mSJdBqtdJ7sUpRFFM4Ozs70d7ejjlz5qCkpMRnAyxPpZPHxsbQ2NiIkZERnDhxIiD3BSUwvAU9KhQKlxoDzvEPYoqgc/+LSDdp8kUy9r8QCbZwkyAICVMa+uDBg3jqqaekDI+4QrMk4kLSCoZAaysES7AWBtEnf/LkyZBrGUTaJWEwGFBXVweVSoXq6mqoVKpJx4tVkGV/fz/sdntI3S4BSI2ZVCoVpk+fjqysrIR2XyRqDIM3Ap181Wo11Go1pkyZAkIIDAYD9Ho9RkZGcOzYMcjlcpf4B/fvXKTHnIwWBvGeFczYTSYTCCFBd67Nzc2FTCbDwMCAy/KBgQGv96jCwkKf63/66acYHBzEtGnTpPd5nsedd96J7du3o7OzM6gxhgWt9BgXklIwBFNbIViCmbxNJhPq6+sBANXV1SEXV4nkBH7y5Ek0NjaitLQUM2fO9HhdYmFhMBqNGBoaglwu9yhagkU8j0DcF6J4SOTAvUQhlLRKhmGQkZGBjIwMTJs2TbIC6XQ69Pb2orm5WeqxoNVqIx7/kKyCQfyNB2NhEIOUg02rVCqVWLJkCfbu3Ysrr7xSOv7evXuxdetWj9tUVVVh7969uOOOO6Rle/bsQVVVFQDge9/7HtasWeOyzdq1a/G9731PCqyknNkknWAQBAE2my2iVgVnAs2SEF0QkSinHInMDEEQ0NzcjP7+fixatAh5eXle1/XlEogEg4ODOHToENRqNXJzcyP2tOkucry5L3Q6XVDZF5Em7ubaIIhEHQbn9twAYLfbMTo6Cp1Oh6NHj8JsNks9FrRaLTQaTVi/l7NJMJhMJigUipB+Q9u2bcOmTZuwdOlSLFu2DNu3b4fRaJQm9xtuuAHFxcV45JFHAAA/+clPcOGFF+Lxxx/HunXr8Pe//x0HDhzAc889BwAuPU5EFAoFCgsLMWfOnKDHFxYsG4HmU8n3HYo3SSMYRHOemAURDbEA+HdJ8DwvpQUuWLAgIh0mw3VJiJYOhmFQXV0NtVrt93jRsDAQQnD06FF0dnZi/vz50Ov1Edt3IFYR54mrvLycZl8EQDQKNykUCuTl5Umi1WKxSP0vDh8+DEEQpM8hOzs76M8hWQWDs0U0UAwGQ8jxId/5zncwNDSE++67T3qQePfdd6V7Vnd3t8tYqqursWvXLtxzzz345S9/iVmzZmH37t2TajAkBDSGIS4khWAQBAEcx0XFBeGOL8EgdnRkWTYsF4Q7LMvCbreHtK1YcrqoqAgVFRUB3YyiYWEQ6zyYTCasWLECGRkZGB0djatP35f7oqOjwyUzQIyTCJdki2GIRaXHlJQUTJkyRYp/MBqNLm4ksQaB+Dn465SazIJBJpMFdb0NBkNYAY9bt2716oL46KOPJi275pprcM011wS8/5jGLVDiTkILhkjVVggGb/EEfX19OHLkCEpKSjB79uyI3rBCiWEQBAFHjx5FV1cX5s2bF1TFtUhbGMbHx1FXV4eMjAxUVVVBoVBI7yVK86lg3Bfe+i6cicS6NLRYIjk9Pd0l/kGv16O3txctLS1Qq9UuAsI9/iGZBUOw46Z9JLxA6zDEhYQVDO7lnWPVnU4mk8FqtUp/8zyP5uZmDAwMYOHChR5LqoZLsILBarWioaEBVqvVpetltI7ni97eXjQ1NWHGjBmYMWOGy2cUSUtGpD97d/eF3W6XnnpbWlpgt9uRmZmJnJycoN0XyeTmiHcjJ+fPQaxwKHZ4PHbsGMxmMzIyMiTxkJmZGfcxh0qwKZWAw90Yy5TVpIFhIuCSoNc0WBJSMPA8D5PJJNVcj+XNwTmewGAwoKGhATKZLKDYgHCOGejEqtPp0NDQAK1Wi3PPPTek6PNIZEk4B1kuXrwYubm5UTmOM9E09ysUCr/uC/Gp11faIHVJhIdcLneJf7BarVL8Q2NjIziOg0KhgFqtDqpFdCIQStEmg8FALQyeoGmVcSGhBIMY2Giz2fDBBx/goosu8uvPjDRixoKYnjht2jTMmjUrqqIlEMFACEFHRweOHTvmUgApWsfzhcViQV1dHQghPoVUsra39uW+OHHihJQ2KIqHZHZfJJpgcEelUqGoqAhFRUWSkGtubobVakVtba1koRAtENES9ZEgFAuD0WhMiKJNFAqQQILBubaC6H6IVctnZxiGkVLC/KUnRgp/E7jdbsfhw4cxPj6OZcuWITMzM6zjhTORj4yMoKGhQSrx7OsGmEwWBl94cl+IRYuc3RdarRZyuTyprAzJZN4XhVxqairUajWmT58udXjs6+tDa2srUlJSJPGQnZ3tEk8Tb2gMQwShaZVxISEEg6faCnK5PKSWruFgMBhw/PhxcByHVatWxcy64SutcmxsDPX19UhPT0d1dXVEChGFIsYIIejs7MTRo0dRUVGBqVOn+n0y9ScYgnmyTaSnYOeyyWLbaNF9odPpIAgCGhsb/bovEoFEtzB4QjTtsyyLrKwsZGVloaysDBzHYXR0FHq9Hh0dHThy5Mik+Id4WoKohSGCUJdEXIirYPBVWyHcrpHBIgbv5eTkwGKxxNQV4ilrgRCCEydOoKWlxWNAYaSP5wuxL8Xo6GhQJZ79CQbxvUDPKxGf3J3bRk+dOhXDw8NSpL9z1cNEdV8kq2DwNGa5XI7c3FwpnsZqtU6qwyFagrRabczjH0JtPEUFAyVRiJtg8FfeOVaCgeM4NDU1YWhoCIsWLQIAtLa2Rv24zri7JHieR2NjI4aHh3HuuedOqq4W6eP5wmAwoL6+HkqlElVVVUE9LSdrDEM4sCwLmUwmiTznro+tra2w2WxxnbTcSVbBEIhpX6VSobCwEIWFhVL8g/hZdHZ2uriatFpt1OMfQrUwxMItmnTQwk1xIS6CgRACm83ms8OkTCaLuktiYmJCmgxXrlyJlJQUjIyMxNSyAUzOzKivr4dCoUB1dXVULB2BuiQGBgZw+PBhlJSUhBT4eabEMISDL/eFOGk5976ItfsiGTs/hlKHwTmQderUqRAEARMTE9DpdBgYGEBbWxtUKpVLIa9Ixz+EKhjKysoiOo4zAiYCMQxUMARNXAQDwzCSWdzbzUoul0dt4iaESObi0tJSlJeXSzegSPR1CBbxiV8sDhXtzAx/LglCCNrb29HV1YUFCxaE1IETiKxVIJkmNW9jdXdfCIKA8fHxSU2bYum+OJMtDL5gWRaZmZnIzMxEWVkZeJ6Xgp07Ozul+AfR+hCJ+IdQ6zBQlwQlUYibS8JfIaZouSQ4jkNjYyNGRkY81g+IdewE4LgWdrsdjY2NOOeccyLSn8Lf8byJIpvNhoaGBlgslpCKQrkfJ1EqPSYizkF7ntwXVqvVpfdFNNwXZ6tgcEcmk7k0V/LUhyQzM1MSEBkZGUFfN57ngw5apnUYvECDHuNCQmRJeCIaE/fExATq6uqQkpLi1dwfa8FgNpvR2NgIQRBw/vnnR6w/hS+8WRjGxsZQV1eHzMxMVFVVhd2S+Eyc5P0RzvnGw32RjIIhFqmg7n1IxM9Cr9eju7sbACbVf/B3HUMNeszIyAj5PM5YaAxDXEhYwRDJtErnjIOysjKUl5d7/XGLk2ks6tUPDQ3h0KFDyMnJwcTEREzEAuB5IhcLEpWXl6OsrCwik4gvwRDs/s828eHPfdHS0oLU1NSw3RfJKBhCqWcQDu6fBSFEin8YHByU4h+cBYQnS0I4paEplEQgri4JX0TqSV9MCdTr9QFlHIg/6GgKBuc20HPnzkVOTg76+/tjdvN2zpIQBAFNTU0YGBiIeEZGJOswAOEHPZrMPAgBUtUsBAJYrQIUCgZWq4DRcQ4MgOwsBZQKFrpRO3ieICNdBqWCxYSRg4xlkJEuw4SRh8HAQyZjkJOtgFLp+j2JxmcYLfdFMgqGeBebYhgGGo0GGo0GpaWl4HleqgTa3d2NxsZGpKenSwJCFHPBCh2xsye1MHiAuiTiQsJaGGQyWcgtn0XGx8dRX18PtVqN6urqgEy4omDgeT5sk7wnxBgBs9kstYG22WwAQjNZhoIYw2A2m1FfX++3xHM4x4lVWqUgEOhG7bDZBAiEwGTiMW7gkaqWIT1VhsERG4aG7RCIAIABwwCEAGPjdthsBKmpMshkDMSjMAwDnudhthAQQpCeLoeMBSxWAhnruNfwguPf/DwlcrKVyM6UY2jIirYOBvKUMeTnKqFWy2C3E6hTWGSky2AyO4RaelpwbY7diZT7IhkFQ6J1q3Rukw6cjn/Q6/WSmMvMzITJZILVag1q/LTSoxdopce4kNCCwWw2h7QtIQQ9PT1obW0NuuiRuF404hj0ej3q6+uRlZWF6upqSZCIN49YCQaWZWE0GlFTU4P8/HxUVlZG5bj+BIPdbodcLvf72fACgSAQcJyAoREb7ByBQs5gbILD6JhDVOr0dpjMPCaMPPoGrVDIGUybkgKbnaB/0ApNhhxFBSoMj9hxrMuENLUM2VkKdJ4wgwVQXqpGYb4Sh1tMsFh5zJ6RBqtNQFePGQIhmDEtDbwg4HiHERqNAlOLUzAwaMOwzgaVksWUwhRMGDjwvAUsgKOdRnyybxQqJYPcHCV4jsDOC8hIlUMhZ5GpkUGbrUSqmkWqWgZttgKjYxxGxzgwLJCbrUBWZmBpfeG4L6hgiDzO8Q8AJDEntqPv7u6WrEHZ2dk+u1GaTCYqGDxAGAYkzO9tuNufjSSsSyLUtEox20Cv12PJkiWS6g9mXJFOrSSEoKurC+3t7Zg1axamT5/ucv7OgiHaEEIwNjYGvV6PuXPnoqSkJGrH8iYYBEFAS0sLuru7kZKSIrWQzs7OBsPKMKKzw2oVABDox+3o67fhWAcPjjMhN3cEHCdgYMQGlYJBYb4S7cfMmDBxWDAnHWYLgdHIQSZj0DdggdUOdHabkZrKYmzcjoEhG6w2h/DoG7SA4wA7L2Bg2Ib8XBXGJuzgOAE2mwAbJ2B83OHGMBgdn83EhB1Deg7DeodYkbEAGAYmq4CxUQ4yOY80NQOz3YyxcQ4MQ8DZCcYm7JgwCCgqUEKTIceBQxbI5QxKS1KhUjKw2wlkcoCB4/9tdh6adDmKC1NQVKhC9inxkKqWQS73/dsJxH0hFo+Kdfn1SJBstSPUajWKi4vR1dWFyspKyOVy6HQ6DA0N4ejRo1AoFC7xD6I1SOzaG0pa5Y4dO/D73/8e/f39WLhwIf7whz9g2bJlXtd/7bXXcO+996KzsxOzZs3Co48+issuuwyA4556zz334D//+Q+OHz+OzMxMrFmzBv/7v/+LKVOmhHZRKElJQlsYghUMYt+FtLQ0rFy5MuS+C5HMlOA4DocPH8bY2BiWLl2K7OzsSeuIN79oCwZxLOPj48jNzY2qWAA8CwabzYb6+nqMjdtQPmsxGNhwsk+PptbjMJossNgzIBA15LIUDOoFMAyLqYVKdJ3gYTDxMFlMsNkFDA7boVAwGBq2Y2yCA88L+PhLPQBArZbBaOLR2U2g1SpgNHIY1vEwWQQwIDBZBBiNHFKUDBiWBccRWKw8eF6AxSqAFwC5ggERAJOFB28nYEAAhmDcwINlGdjtAux2AoGIlk3iGIcgwJ4BjI6bYbESKBUM7HYzxiccE7PJwkEuY2C28qd6pjDQpMnQdcKC2TPSMGtGKo52mNDTZwHLABNGDl8eHIVCwaIwXwWNRo4pBUqkp8khkzHI1SqRovL9tO3svgDg0rrbYDCgra0NIyMjkgUi1h1ig4EQh4sokcprB4ro5szIyEBGRgamT58uxT/o9Xr09PSgqakJaWlp+OKLL6SHnWBjGF599VVs27YNO3fuxPLly7F9+3asXbsWra2t0nfAmS+++ALXXXcdHnnkEVx++eXYtWsXrrzyStTW1mL+/PkwmUyora3Fvffei4ULF0Kv1+MnP/kJvvWtb+HAgQMRuTZBwzARyJJIHtGZKDAkTqHngiD4jFHo6+tDZ2cnqqqq/O6LEILu7m60tbVFJMr/o48+wsKFCz1O7sEgpnGq1WosXLjQp4B5//33UV1dHTXzo8FgkFJKNRoNLBYLFi5cGJVjiQwMDODYsWOorq6GzSag+4QO9fVHYOXSoUwphNHMQae3gwGg0chwtMMEvd6C9HQOJoMN+gkWLCOHOkUOq50Dy7KwWlmkqGRIT2MxorfDzglIVcvBsMDYGAeZDEhNlcNk5GDjBKhT5LBYBQi8gJQUGRRyFiYzD54nkMkJeB4QBMekr5QzMFsJCIC0VBYsAINJAMsCKSksOA6w2oTTMQw8oFKKAaQMAAYEBAo5B54oIGMcT/sZ6QyMJodLRS4HlAoWBIDNRpCXo4TFSmAyccjRKlFUoMKI3gaFnMWEgUNaGgtBAGQsg8rZ6TAYOPQNWVGYq0JWpgJKJYOi/BTkZCugzVYgJ1sBlg38u//VV18hPz8fgiBAp9NhYmICarXapeJhIk3OPM/j448/xvnnnx+RRmyx5KOPPsJ5553n02IgWoMeeughvPPOOxgYGEB1dTUuueQSrFmzBsuWLfNbgXL58uU477zz8MwzzwBw3GtLSkrwox/9CHffffek9b/zne/AaDTirbfekpatWLECixYtws6dOz0eY//+/Vi2bBm6urowbdq0QE4/IoyPjyMzMxP9b/1/0KSFlz0ybjSh8PIfYGxsDBqNJkIjPLNJepeE3W6XGiN5e4IPlkhYGMRmVv7SOEWCbQgVDP39/Thy5IhU4rmrqyvk+JBA4XmCwWEOXb0E1s9HcPT4IHp7B2DhNBBICubM4GA08zjaYYRMxiA9TY4RnR0TRmBkVI6UFCXA8qeCF61QKgWAsLDaZTCZuVP/EnC8AKvVBpmcgUAY2KwCjGYbWAAEgNHIwWoHWAYg4AEVgcUqgBBAAQZ2joAIACtzjNnOOaZ+s1kAA8DOOcQEYyXgOAJBOCUwAEemhU0AwziCLgkcAZGEAHa7QxzI5QS6UcBqI0hRsTBbCAwGDkolC4EIGBy2ghDAZidgRi3Q6W2w2glysxUwWwX0D1mRopRBoWRgtozDZhcgCAQWs4B8Mw/dKAe53IDSEjVYxiFsMtLlSE+TY2qRCuoUFrwAZGbIkZHu+eeenp6O3NxcyX0hVjxsa2tzcV+EWrAokohWuESOYfCEmKrtT3yJ1qCnn34aR48exfLly7Fp0yZ88MEHeOaZZ/Dggw/i1ltv9bq9zWbDwYMH8Ytf/EJaxrIs1qxZg5qaGo/b1NTUYNu2bS7L1q5di927d3s9ztjYGBiG8dmIzmq14tixY9BoNJDJZJDL5ZDL5VKnUfFf8QWcrgJMSUyS2iXh3Po5HBdEKMf2Bs/zaG5uxsDAgMdKkr6OGWmXhCAIaG9vR09PD+bPny+VeI5WTQODkcPJAStMJg5dPSb09k2g9yTwyYFjsJqtKJ6ixdg4YLFZMTDoiBZXKmXgeB69/TYoZAx4QQDHEwgmARYrgVzGgBdkMJpkpyZmxzW22ngQyCBjAIEBbBwByzgmdI53WABkMoDjHBM4wwJWGyAQAQJx7IfhHWKBACACIH7iDOPYDnBsSwTHhC4Ijn0KAsCdypCwc3Ds4NR24kdICCDYHEJCxjqsEWbzKXFBAJtJOJV1IUCtYsHzBBMTBAABYQDdqB1mi+AwwQuAze4QP7xAkKtVYtzIYXDEBpWSQWaGAnYbh/4hO0YnOMydnQ4Za8MnNXpkpMuQo1UgNUWG8rJUzK9Ih8zJAuEe9KhQKJCXlyc1PHJu2NTV1SU1bIqX+yJZBYM47mCsNWKVx5tvvhlbtmzxa5UFgOHhYfA8P6labEFBAVpaWjxu09/f73H9/v5+j+tbLBb8/Oc/x3XXXefzyby1tRWrV6+GWq2GXC6HWq2WgnPT0tKQnp6O9PR06f/VajUqKyvx7W9/268opUGP8SEpBYNzEOHMmTNRWloa0ace52ZQwWAymVBXVweWZYNOUxTT+CKFc4nnFStWuLg6gulW6QueJzjRZ0HfgAUjOhv6Bq0AQ6DT2dF5wozMDB7jExzGxxmwbCqa2qxQKhhoNAoMjNoAEGgYwM4JsFp5mHhAxgIyOQPOLsBmA3iZYz4Wn+wd6dcy8LxjueOK8WDAgMPpSYQQxyQt/X3qX4F3vCeuI6ZX8qcuh5guCTgsDeypCZ7hHQt47vS+nDWXKARYaUvH3xx/ehwcf8pxccoKwfEO64XV5hAxhAAsQ8AwgIHnAQGQyR2jt1gd7hOFHBgds0MgjrGYWIdQGxh2uDFkMqDtmBEyloXJbIfJIkd+ngKDw1Y0NI3jcFMazluUibJpaiiVvvu5AJBu8MXFxS4Nm/r6+tDa2urivsjKyopKKrIz4vc2mYIegdNZV8EKBmf3BcuyMW9O5o7dbse1114LQgieffZZn+u2tbVhdHQU//d//4fe3l5MTExgbGwMY2NjGB8fx8TEBAYHBzE+Pg6O49Dc3Iw5c+bg6quv9n+daKXHuJCwLglv3SptNhuOHDmC8fHxiLkgPB072AlV7OxYXFyMOXPmBP0EFKlJHPBf4jnQbpWeMBg5tHcY0dVjQk+vBWYLj0yNHMc6TBgzcMjKlGN83A6jyY6+fit4Xo6srBQIAmDnCaxWAQYTfypugMHQiB04NWmDAax2gOGINAELp1wCzk/uDOMQFpw0sctOuRQAQDwv1mVCFydtQk5P9AwAwjgsCJ4gcBIX0n+8rHvqPYFMXu68n0lf+1NiRYyjEIRTwsMREgHeDlitBHK5Y1uzFbDYBMhlgELBgOMdtSFYVoBGI0e6gkXfgBVWmwBtlgJjBisGhx0ZJUqVDK3HjOgfskKlYlFWkoqJUYL8Ah4KJeeoReEj/sG9YZOz+6K9vR0WiyXq7gsxpTIZBYO//jnuiCmVwWyTm5sLmUyGgYEBl+UDAwNem8gVFhYGtL4oFrq6uvDBBx/49funpKRg06ZNuPrqqwMa+549e3DvvfcmVMwMxZWEtTDI5XIIguDyBDQ6Oor6+npkZGSguro6akFPwbgkBEFAW1sbTpw44WL2D+WYkRAMPT09aGlp8Wl5CTZewmYX0NNrRm+/BUdaxmGzEaiUDNqOGcCdmiENRg4sA7QNW0EEHnIZD5aRwWwXoNM7RIFwKsCQtzvM9CxLwPGOCZthT02SOC0OGKe/GThZCYjrxCy6FBwTrrtQOy0ggNPWAwCSlcKZcD01osVC+hunxyo7JQic3xccXghHnAQA3s1q4Sx0eP604BFYR9CkuD0RgPFxDhPjACtjIAiA0cSD4wQYOECdwiLFLmB42AaNRg6l3BHUeaxDhtauEZSX2pGnVaJydhqmTw3MMubuvnAuHtXd3Q2GYSLuvoh3lcdQEas8BjP5G43GoMtCK5VKLFmyBHv37sWVV14JwHGP2rt3L7Zu3epxm6qqKuzduxd33HGHtGzPnj0uAeeiWGhvb8eHH34YUEXYiy66SAqs5jhOSod1vwY8z0OlUiErKws33nhjYCdKKz3GhbgKBl++dOeKizKZDJ2dnTh69KjHOgaRJtCnfYvFgoaGBtjtdlRVVYXVhjZcC4MYOzE4OOi3xHMgFgajiUPXCTP6B6041mmEycLDYhHQ1WNCqloGo5HDuJGHUsFiRG8DwwBqFQublYcAAVabTLIS2E/5/xkWkJ16orcLjslbeoIXAJ5xiAZp0iRO5n8/5y9OnJNxnlwEl+XRCDF1/zo7CxtnscKc+o9kmXB6T3SDwE2zSsJDdjrGQrxv8gJgtwJyGZCmZGATCPSjHBgGSE9jQQQB4xMENrvjMinkQH0jD84O2HgORfk8jhtMqG8cx7TiFJSXpmFasQpKJQuZjEFmhv8CW2K9gWi6LxK9aJM3QukjEWqnym3btmHTpk1YunQpli1bhu3bt8NoNGLz5s0AgBtuuAHFxcV45JFHAAA/+clPcOGFF+Lxxx/HunXr8Pe//x0HDhzAc889B8AhFr797W+jtrYWb731Fniel+IbtFqt1wc3MUYBgM/PWnzvvPPOw3nnnRfYSdJKj3EhYS0M4o/LbDajra0NExMTOO+883xG5Uby2P4sDCMjI2hoaEBubi6WLl0athktHMFgNptRV1cHhmFQVVXlN3bCn4Wht8+M/346DJ3eDquNR3evBZnpMpgtAswWHmPjjtoHCoXYqIuAFwiMJgEsIyAlhYXFevrp2JGh4LAwnAoFAOBqSSDik7LTnEQw+YndG84WCB9n7va34GV59PHl4mBZx7VyRox/IHCNzWBPBVo6W18MRuG0G4QAEwZHjISMBVQq5lS9CQKe56CQMwAj4HDzBLIy5TCZBfA80D9owzsTHPJylcjKlKMoX4VzF2gCrj7p7r7gOE4KngzHfZGsgiHUTpWhPIR85zvfwdDQEO677z709/dj0aJFePfdd6XAxu7ubpdrWF1djV27duGee+7BL3/5S8yaNQu7d+/G/PnzATgyvv71r38BABYtWuRyrA8//BAXXXSR17GIFuKenh40Nzdj/vz5LsWeJiYmMDo6iry8vISu/0FxkLCCQTTf7d+/H1lZWVi5cqXf/ONI4S/g8vjx4zh+/DgqKiowderUiFg7QhUMIyMjqK+vR2FhISorKwO6mXqyMIxNOPowHO804YPPhtFz0oJMjRxj4zbwPIOTg1ZHzQSGgVLhSCG02QSYTLwjKJARQAgLnrCwWl3dCKeLG52OVWDgZF0gTuu6XYJAXQShWQucr5WziSK+ExLnRauyrKuVAnD9W8aedtfIZQ45JAiuFhuLhcBECGSyU3EgHGCx8hgd5zA2oUB+ngJDOiuI4MjgYGUEKSksPtunR0PjBNZcmINZZWl+i0W5I5fLfbovALj0vvA2eSSrYAi1U2WoVsutW7d6dUF89NFHk5Zdc801uOaaazyuX1paGnJWlSiUXn/9ddTW1uLhhx+WlrMsixMnTuDJJ5/EVVddhW984xsBlyqnWRLxISFdEoQQdHR0gBCC4uJizJ49O6ZBTt6yJGw2Gw4fPgyDwYDly5dHtNhHsIJBvEbHjh1DZWUlpk6dGtSxCCGnaiVYcaRlHCf7regftGJgyAo7x0Olcrga+gdt4HgBqSkOkcGwDCYMBLwAyGTk1OQmQMoPYE67GuTy06Zz51NzDgB0CSqMK6eiDCXiZ33whrtY8PS++DMhTvpHvM6cs7g49TlZOcaRksoCJrMdXd0cWJZBWqojkLTtuAkjeh5pqTLoTpjx9p5hlE0zYNniTBQXpUCpCO36hOq+SGbBEOy4Q3VJJBLi/X3fvn3IycmRqsuK16KyshJdXV1obm7GN77xjcAtMTRLIi4knIXBZrPh0KFDMBqNUCqVyMvLi3lEtKcMDTHzQKPRoLq6OuLWjmAEg3O56WXLliEzMzOoYxECdPcSnPj3SRxqGofRxGNqUQp0Y1boxmwYHeUgAEhPZcGwAuwWggnekdanUp0WBI5LdFosOO/fMU7/40hcEsd9EQziNfUmLkTxYHVL5xd4wMwBchmBQnGqboVVwISBB89ZMW2qGoJAMKyz4kSfBce7zJgxXY3y6amYUpSCvBwFFPLQrk0w7otkJRQLQ6guiUSE4ziXe6bz9RgbGwvaHUEYFiTMCT/c7c9GEkow6HQ6NDQ0SN0c9+3bF5Wukf5wdkk4d76MRs0HkUAFg3OJ52AzRThOQHevBR9+NoqDDSyKCo0Y0dtgsxPUHh6DycxDLmNgtfPgeYCzC45KiOR0dL/dRpwmeifLAk6nD0pBe2cUnoIn3a0ScFqeODgLM08iTXDKFhGII41zcMgOuZw5lXlC0NFtgs1KkJkpQ3amAqOjdnylt+HL2jHMmKbG1CkpWL44E1MKw/dD+3JfjIyMgBCCI0eOSKWrI92WPRqEKhiKioqiNKLYIFoSLrzwQvzpT3/Cv//9b3zzm9+UrsXzzz8Pg8GAOXPmAEi++hpnG3F3SQCucQGzZ8/GtGnTpK6R8RAM4uTNcRwaGxuh0+lC6nwZyjF90d/fj8OHD2P69OmYNWtWwD8uo8lRgfFgwyhODljQftSI8QnAZDFCP2ZHqlrmeOq0CbCKRYwIYCfExZVwuqiRKBROT6IM61gsxiyc2fizPpwK1EgSnD8ul58b5wgusXOCZJkQBAYn+qwACIqLUiCXMeA44EiLAc1tRqxanoV5FRnQZkXOAufsvujt7cXJkyeRlpYWt+JRoRBK0GM4MQyJgigYNm/ejM8//xxbt27Frl27UFJSgoGBAezZswff//73sXz5cpf1/RKHtMre3l78/Oc/xzvvvAOTyYSZM2fihRdewNKlSwE45rH7778ff/rTnzA6OoqVK1fi2WefxaxZs6R96HQ6/OhHP8K///1vsCyL9evX46mnnkoa11Pcf1lWqxWHDh2C2WyeZF73Vrwp2shkMlitVtTU1EClUqG6ujrqFdZ8VZd0LvF8zjnnTCrj6ovDzeM42DCGjm4Tevst0Gjk4DhHfQvdmB0Wi3Aqx584qhg6pTLC7cn0VP1CeDLLx6AzdwLjyfrg+TolAp4ySjxZhUTLEuBI5SQCYDBx4DkChgV0OjsEgWDcwEGTLofZIuDDz3U40mrAOZUZmDE9Ffl5Sp/FoIKFEAKlUomysjKf7ovs7Gzk5OTEvfeFSCgxDEajMWkmEn+kpaXhySefxO7du/Hll1+ivb0dMpkMDz/8MG644YagxRRBBFwSQfw+9Xo9Vq5cia997Wt45513kJeXh/b2dpfCgb/73e/w9NNP46WXXkJZWRnuvfderF27Fk1NTZLLZePGjejr68OePXtgt9uxefNmbNmyBbt27QrrXGJFXAXDyMgI6urqkJ2djcWLF096MoiXhWF8fByjo6OYMWMGZs6cGZMgK28WBqvVioaGBthstkklnn1htwv47Csd3v9oGDIZYLXxkMuBgQEr9ON28BwLuVyAIDgsC2JRIF+QBJ4EE4dTphbpOiVe7IOnj9mTVch5meiSslqJJB5MFg5WG2C2Oip3ggCDIzb0DVjR3mHCrNJUTC9R44IV2UhPi8ytxj3o0Zf7oqenBwBcikfFy30RyzoMiYpYYnzGjBlQKpVYsWIFzjvvvKSo7Pjoo4+ipKQEL7zwgrSsrKxM+n9CCLZv34577rkHV1xxBQDg5ZdfRkFBAXbv3o0NGzagubkZ7777Lvbv3y9ZJf7whz/gsssuw2OPPeaSbpqoxFUwmM1mlJeXo6SkxONTQKAdKyOFIAhoaWnByZMnoVarMXv27Jgd25OFQaxsmZWVhXPPPTcgU6vByKGj24R9taM41DiOcYMdLAsMj9hh54mj0RHnyHIQbM7Bi/6gYiFwWC//DySigAgE9zLbovVBrEapH+XAcQJUKhky0hxFsU70W9F6zFFC/NorCpEdYA0HX/jLknB2XxBCMDExgZGREfT396OtrQ1qtVoSENnZ2TFzX/A8H3SgtMlkQkZGRpRGFFtqa2tx5513or+/H6mpqbBYLNi5cyfmzZuHxx57DJWVlcHtMMYuiX/9619Yu3YtrrnmGnz88ccoLi7GbbfdhptvvhkA0NHRgf7+fqxZs0baJjMzE8uXL0dNTQ02bNiAmpoaZGVlSWIBANasWQOWZbFv3z5cddVV4Z1PDIirYCgpKfHpcoilhcFkMqG+vh6AI9Wns7MzJscVYVkWNpsNgEOtnjhxwm+JZ2d4nqCpdQJf1urR3WtBT68ZFisHq9WRMkdwqpQwz0t5/s4Ple6VB08zOV6BEg6e3BfJc23dAyjFpmAy2akukoyA0TEevADIZQwUShkONIxj3Mhh7QW5qJyTFnI2BRBcWiXDMNBoNNBoNC7uC71ej2PHjsFsNkOj0UjWB41GEzX3Bc/zQWcChFIaOtEQ6yr8/Oc/B8uy2LFjBxYsWABBENDc3Ixt27bhjjvuwJtvvhncuTJMBNIqHZ/1+Pi4y2KVSjXJBX38+HE8++yz2LZtG375y19i//79+PGPfwylUolNmzZJlS99df3s7+9Hfn6+y/tyuRxardZrZ9BEI+4xDL6IVQzD4OAgDh8+jKKiIlRUVECv18fcFSK6JHieR1NTE4aGhvyWeAYcEeyNrRPYXzeKA4fGwDKOvgFyOQPzKA+DiUClOF0MyFNRIOdKi257RzJNZslHclsfnDNjbLZTGRa2U/1BCDBu4KBWCTCZeTQ2GzAyYsc58zJw8UotCvNDiwkKp5eEJ/eFGP8QbfdFsEGPhBAYjcaktzCIAuyjjz7C/v37XSpFFhQU4NVXX8XcuXPjEqsmItaGELn//vvxwAMPuCwTBAFLly7Fb3/7WwDA4sWLceTIEezcuRObNm2K1VDjTkJkSXhDLpfDarVG7fiCIODo0aPo6urCvHnzJB9SpBpBBYNMJoPdbse+ffvAMAyqq6v9PpFwnID3PxrCF/v1sFgF2Gw8UtUydPaYYTBykoJ2z7l3x3P5ZSoWYo/3vheJiKc+GaeMZJDJAP0Yh1EAmgw5NBlyDI3Y8EmNHoebDLjqsjwsmq8JuvBTJAs3qdVqqNVqTJkyRXJf6HQ6DAwMoK2tDSkpKZJ4CNd9EWrQY7JnSYh8/etfx9GjRyeVltbpdCgrKwu6CF4kKz329PS4HN9TgHtRURHmzp3rsqyyshKvv/46AEhNBwcGBlxSYQcGBqRzLiwsxODgoMs+OI6DTqcLuWlhrEl4C0O0nvTFYEKr1YqqqiqX4KJ4BFuaTCaMjIxg6tSpAZV4Hp/g8PZ/B/Dh5yOw2x2ZDiYLBztHYDLxsNkBhgksv3GyNqJiIf4kp/XBuZ4DQxxlqY0mHkYTD5kMKMpPwYjein+9PwTdGIe1F+YE5QYQBCEqcQfO7ovS0lJwHCe17vbkvsjIyAhKAIRaGvpMCHokhGDhwoV46KGHoNPpUFFRgZSUFOh0Omzfvh3XXnsthoeHIZPJoFQqAxNJEaz0KH7uvli5ciVaW1tdlrW1tWH69OkAHAGQhYWF2Lt3ryQQxsfHsW/fPtx6660AHF1BR0dHcfDgQSxZsgQA8MEHH0AQBCmtNNFJeMEQDVOVWCBKq9V6DCaMpWAQa1CcOHECqampmDdvnt9t9GN2/PW1E6hvHIPZIiA7UwGzhcP4OIexMV4SCsFXUqTxColLYva98IYoQlkGjuJfApCSwmBg2OooF0wYvPX+EFgQfO38nIDjGmJVGloulyM3Nxe5ubkAwndfBCsYOI6DxWI5IwSD2WzGe++9h46ODvz85z9HeXk5CCFoaWmRWqBv2bIFcrkcWVlZUpfMROKnP/0pqqur8dvf/hbXXnstvvrqKzz33HPSWBmGwR133IGHHnoIs2bNktIqp0yZIrUZr6ysxKWXXoqbb74ZO3fuhN1ux9atW7Fhw4aIZEiIDcKC4etf/3pQrreEFwyRnLgJIVKb7Dlz5njNzhB7LUT75sRxHA4dOoSJiQmUl5djeHjY5/qEEDS1GfCvd/vR2GaAXAaMT9gxOmaXCibxPAkxeJhaFZKHxO97ISK26WYYR/yMxSqAAZCdSTA+weGN/wzhWJcZl34tF6Ular/WBkEQ4lJXIVz3RbAxDAaDAQCSPoYBcIivX/3qV1AqlZiYmIBer4fZbAbP8zAajRgaGoLdbsfExIRLhV1fnzMBAxJmcbRgtj/vvPPw5ptv4he/+AUefPBBlJWVYfv27di4caO0zl133QWj0YgtW7ZgdHQU559/Pt59910X1/Irr7yCrVu3YvXq1VLhpqeffjqs8xARhUmgMAyD9vZ2zJgxI+BtEj6GIVKCwW634/DhwxgfH/fbf0H8YUdTMBgMBtTW1iI1NRVVVVXQ6XST/FvOjI7Z8d9Ph/DZl3r0D1pg5wlYhoCQU0FmAiBXIKB6CpOhYiG5SQL3BQE4O5GCJPsGbJDJHWGTBxrGodNzWLU8C6tWZPu8LyRC86lQ3BfBWhhMJhMAnBEWBqVSifXr1we1jb+5IR69JC6//HJcfvnlXt9nGAYPPvggHnzwQa/raLXaqBZp8pSJ4Y1QxOhZYWEYHx9HXV0d0tPTA+q/IP6weZ6Pir+0r68PR44cQWlpKWbOnAmGYXyWhu7qMeEv/+xFT68ZZiuPrEwFBkes0I/xkJ+66QrkdMBZcMRTLAjw3o+BEjrB9L2IDaJQEEfA8QCBo7qo1cajo9uEkwMW8AJwUbV30ZAIgsEdd/eFxWKZVDyK53kMDw9DqVQGZAI2Go1ISUlJiqJGnuB5XorBcHTG9XwfFz9n8R4YsPWIdqucxKZNm4JyL1x//fVBB5smtGCQy+VhxTA41zOYMWMGZsyYEdAXUlwn0nEMgiCgra0NJ06cwMKFC12UoDfBUHd4DP96bwCtxwxIUbEYn7BjbMwO66mnNY5zdBcMbajxFgvJXZMgOUgM64OjidXkzF39OAelAsjSyKEbteP1twagUjKoPi/b434SUTC4k5KSgilTpri4Lw4cOACdTofu7u6Asi8MBgPS0tISoqx1KNTU1ODRRx/Fv//9b0kM+GJ0dBT79+/H17/+9RiN8MzDuQplIDz77LNBHyOuvzx/P4ZwLAw8z+Pw4cNob2/Hueeei/Ly8oB/fGLjq0imVlqtVuzfvx/Dw8OoqqqaZDbyJBhGx2341/sD6Ok1w2o7/Z7RLIDnTwU2ArD5SZucTLwnZ09CxTnYUjj1OuO7WMUB9+vs/G/08PRTEt1nNpujpLTFImBYb8euN/vRctToZT+JLxicYRhGciucc845WLVqldQ47tixY/j0009x8OBBdHR0YGxsTLoHiIIhFHbs2IHS0lKkpKRg+fLl+Oqrr3yu/9prr0mZCwsWLMB//vMfl/cJIbjvvvtQVFQEtVqNNWvWoL293ec++/v78Z///Ae7d+/Ga6+9hrfeegv//e9/8emnn2L//v04dOgQWltbcfToUZjNZrz++uu48cYbAz5HMa0y3BclOOJuYWAYxhE17YFQBYPRaERdXR0UCkVA9QwieWxPjI6OSj0zlixZ4vGJwpNg+Ne7/WhqnYBSyYDnCQaHrbDZHUGNoWsZcbKOV7coAv9CxdtTMXVfRBZPfS9if40JANupiqRpaQQDg1Y89acuXLY6D+ct0rgUeUo2wQBA+l3LZDKf7osTJ06A53n88Y9/hFarhVwuD9rC8Oqrr2Lbtm3YuXMnli9fju3bt2Pt2rVobW316Nv+4osvcN111+GRRx7B5Zdfjl27duHKK69EbW0t5s+fDyCwpkrupKWlIS0tDY888gjsdjtYlgXLspDJZNJ1EF8ajQYtLS1Si+tAiEcMQ7JjNBrR1taGkpIS6fsXLHEXDL4Qn/KDuUn09/fjyJEjKCkpwaxZs0K+ufjqHhkohBD09PSgtbUVs2bNwvTp073eAJwFg80u4L0PB/Huh8MwmHikERYyloHRRsIQCkBgk3WkEc9XbPkcymTk3DZ6UkFrSlg4X0P37wbxsE50EIgjcFen55GiZDA+weG9D4dwpGUCG68uwrSpDt9sMgoG8T7iadzu7ouhoSHMmjUL//73v9HV1YWZM2fi61//Oi655BKsXbvWb/nkJ554AjfffDM2b94MANi5cyfefvttPP/887j77rsnrf/UU0/h0ksvxc9+9jMAwG9+8xvs2bMHzzzzDHbu3BlQUyVPrFq1Ch9//DEsFgtMJhOMRiNMJpPL/xuNRpjNZlgsFigUCqxYsSLwi0oJit/+9rf4+OOPsWzZMrS2tiI9PR07duwIupppQgsG8Uk8kCppgiCgtbUVvb29WLBgQVAtoD0RrkuC53k0NjZieHgYS5YsgVar9bm+s2D44NNhvPvBEGx2AXKZgAmDo5tk6MPxdOOP5WQrioVw8bSP2E1qZx/O1zT611k0NNrsBAQ8WJbB6LgBz77cg21bpiMvVxVWaeh4wfN8QH58hmGQn5+Phx9+GLNnz8arr76Ku+++G++//z5++ctfYsmSJZg2bZrX7W02Gw4ePIhf/OIX0jKWZbFmzRrU1NR43Kampgbbtm1zWbZ27Vrs3r0bQGBNlTyRnp6OxYsX+zzfsIhx86lk5oUXXoBOp8N7770nLXvttddwxx134P/+7/+C2ldC//KcsxV8YTabsW/fPuh0OlRXV4ctFsRjh2phMJlM2LdvH0wmE6qrq/2KBeC0RaP7hAlvvT+AEb0dZjMPi8URo8CHJRbibcqP5rGdz41gshWCEhncv0PRu868ANjtBBnpDNJSZThx0oLd7w7CzgkhlViON6FWeczMzMS6devw1FNPobm52adYAIDh4WHwPO+zAZI7/f39fhsmicsC3acIIUSqZ+P+4nkePM+7LAuKUy6JcF5nWpaEN0ThCQA33ngjBgYGcM0112D//v1B7yvuFgZfMQyiKveVKTE8PIyGhgYUFBSgsrIyYmlIobokhoaGcOjQIamRVaA3N5ZlYTAyePbFLnSeMCFVLQN3qg116ETqyT6c40d6f77Ox/09an2IHp6sD+7LQ4cXgBEd7ygxDYLDLQa0HzMlpYUh2KJNwJnRR8LZ/ZqMn9uZgkKhkDohr1y5UnJrhWJBT/hP0FvxJkIIjh49irq6OsyZMwfz58+PaM5ysC4JQgiOHTuG+vp6VFRUYO7cuUH9QPoG7fjgSzVajhlACDBh4CEI4VjNEkEsxHuiptaH2MDA87UOD6OJB8c5XBMn+63451sDMJqSM4YhFMEQbNGm3NxcyGQyDAwMuCwfGBjw2tyosLDQ5/rOTZUC3aczYsVG8TPz9nAYLGKlx3BfZwM/+MEPcNddd4Hnedx0003IyMjAk08+iW984xtB7yvhf3meXAM2mw0HDhzAyZMnsWLFCkydOjUmx/WG3W5HXV0dTpw4geXLl6O4uDioYwkCwd5PdNCPs2AZQKlkwXGOYkzBi0DxZh2vH0OiPtVHZ1KjeCIy7gv+VN0Gjiew2wkaWw34z0cqtB6zRGicsSEUN0ooaZVKpRJLlizB3r17pWWCIGDv3r2oqqryuE1VVZXL+gCwZ88eaX3npkoiYlMlb/sUEcXCv/71L/zlL38B4LA6OD+IHT16FGNjY0GdJ4Cw3RGRyLJIFq644gpcdtllWL16NTZt2oRLLrkEY2NjeOihh4LeV0K4JHzhPnHr9Xo0NDQgMzMT1dXVUanECHgvpOTOxMQE6urqpBLP/qpIemJw2IrmowaYzQwsdh4ylgmhvDMQ/6f6eB8/GKJrUqc4E3rwpN0GEIWAFJUMLEugHwPe/1iP6SUa5GqD/63Fg1BjGLKzPRev8sW2bduwadMmLF26FMuWLcP27dthNBqlrIkbbrgBxcXFeOSRRwAAP/nJT3DhhRfi8ccfx7p16/D3v/8dBw4cCKqpkq/zlsvleOmll/Dmm2+itbUVv/71r6WmgnK5HD/84Q+xdetWXHXVVUmZAZMsfPe738V3v/td6HQ6ZGf7Lr/ui7gLBn+IXy5CCLq6utDe3u43RTFSx/VnYfBU4jlYBIFgX+0oWo8aYbczYBgxSjxYgp2sI33tkkksuENjH2JHcNdaTLe0cwQ8T6CQs2g7ZsGR5glctDInqiONFLFySQDAd77zHQwNDeG+++5Df38/Fi1ahHfffVcKWuzu7naZlKurq7Fr1y7cc889+OUvf4lZs2Zh9+7dUg0GILCmSr44duwYrr32Wrz33nvo7+/H9u3bpXM7evRoaA99DCKQJRHe5slIIAH4vkh4wSCXy2Gz2VBfX4/R0VEsXbo0JOUdLL4Eg3MKp3uJ52D59MsRvPfhIDheOBXgFaobgloWIsfZZH2I9zn5v9Z2DiAQIGMZ2HkGw3o79nw6glVVWsjYeI/fP6EGPYbaqXLr1q3YunWrx/c++uijScuuueYaXHPNNV73F0hTJW/bAQ6r8I033gitVovvf//7uPnmm/H4449jypQp4DhO6mcQzAMXAQsSpkc93O0TkUCrZT7//PMh7T/uV8xvV7JTwYQcx2HlypUxEQuA9ywJscTzyMiIxxLPwWAwcnjngyEM6+0AGBDChNATIt6TdbyPH21o7EPs8H6tOQ7gBSJd+vbjZryzdygOYwyeUGIYzoQsCRExfXLp0qV4+eWX0draii1btuD48eOwWq0+Owd7g5aG9syLL76IDz/8EKOjo9Dr9V5foZLQFobe3l7o9XpkZ2dj6dKlMW3EIrpCnNHr9aivr4dWq/Va4jkYDjSM4WiHEQQEMhbggpqH4l1fId7Hjxdnk/Uh3rhea44jYBlH+rzVyuM//x3CgsoMTJ8aXLW6WBNqDEOyt7YW79cnT56UKgqee+65eO2113D99dfj5ptvhk6nQ1ZWlsv6lNC59dZb8be//Q0dHR3YvHkzrr/++rDdEM7E3cLgCZ7nceTIEbS0tCAnJwdZWVkx/zI5uyTE+IkDBw6grKwM55xzTkSCLQ83j8Ns4WG1ESkiPDDi/VQf7+MnCt6eiKkFIvIwAFgIhDl1iQWcHDBjx5+b0X60G0ajMWIpe5EmFMEQTvOpREG0qjzxxBOorKwE4LgW5eXlePvtt5GamoqCgoKQrMY0S8IzO3bsQF9fH+666y78+9//RklJiRQ/EonfR9wtDO5CwGQyob6+HgzDoLq6Gl1dXRFvMx0IYpaEWOJ5ZGQkovETgkDQetRRc4HnHFnBgRHvyTrex09kvLkt6PWKJASAUiUHA2B0HKg9NIzeE8ehVCqh1WqRk5PjtW10POB5HiqVyv+KpyCEhBXDkGjccccd0v/LZDIQQqDVarF7927U1tZKMQzBEIk6CmdqHQaVSoXrrrsO1113Hbq6uvDiiy/itttuA8dxaGxsDMtylRi/qFMMDAzg8OHDKC4uxpw5c6TuZlarNeZjkclksNls+PLLLyGTyVBVVRVS10tvGE0cRsftkMkY8DYB9oA0Ubwn61COf2b+KH1De15EE0EAzGYBcjlAoIIyJQ+rVuVgdHQUIyMjOHbsGMxmMzQaDXJycqDVapGRkRE3k3co6YImkynpLQzeED8HmUyG8847L86jObNhWVaqphyJB++EEAyCIKC9vR3d3d2YP38+ioqKpPfkcjmMRmPMx2Q0GjE6Oopp06ZJ4iWSDOvsMFsEWKxCAFkR8Y4XiPfxzwRo7EMkIQQQCIOhERtsdg4ymQw5OTnIyXGkWprNZqltdFdXF1iWhVarlSwQodRLCZVYplWeLdD21t6xWq1444038Pzzz+Ozzz7D5ZdfjmeeeQaXXnpp2PNY3AWDmHVgt9tRVVU16UcSThOoUBCzMrq7u5GSkiL53iLJhIHDP/51EhMGzq1Ak7cn02SzKlB8Q+s+hItSeaoCJA909062QKrVahQXF6O4uBiCIGB8fBw6nQ4nTpxAc3Mz0tPTJetDZmZmVAsGBSsYbDYbbDbbGeOSiAaRyHI4E7MkbrvtNvz9739HSUkJbrzxRvztb39Dbm5uxPYfd8FACEFGRgZmz57t0ecYS8Fgt9tx6NAhGI1GzJkzBz09PRE/BiEE//x3Hw43jzs6tMJXiFy8J+t4H/9sgVofgsVqA1gGkLHAwJANFguPlBTPkzLLssjKykJWVhZmzJgBm80mWR8aGxvB8zyys7Ml64MY0R8pghUMokWVWhgowbJz505MmzYNM2bMwMcff4yPP/7Y43pvvPFGSPuPu2BQq9WYO3eu1/c9pTdGA7HEc1paGqqqqjAxMREVoXKy34q6I2MwmXkQQsUCxR1qfQgEUWgTABYrj3GDd8HgjlKpRGFhIQoLC0EIgcFggE6nw+DgINrb25GSkiJZH7Kzs8Nuahds4SZRMJypMQyRgAY9euaGG26IaqxO3AWDP7x1q4wkJ0+eRGNjI8rKylBeXi51Vwul/ac/hkesOHHSDJv91EQwSTEkQrzA2S0WMk3DmDF0GLnGfhhUGnTmzEVfZmn4pWhDglofPCFWRSUCYDILSE8LbVJnGAYZGRnIyMjA9OnTwXGcFDzZ3t4Oi8WCrKwsyfqQlpYW9A052MJNRqMRqamptK+CD2gMg2defPHFqO4/7oIh2OZTkUQs8Xzy5EksWrQIeXl5UT/uiT4LDCbeJQHvNPGeqBNBrMSXvIkTuKBtNzKso+BYBaYIHMqGm3Fw+tfQWrgkzqOj1gfnc2UYR8aEycQjRRWZayCXy5Gbmyv5fU0mk+S+6OzshEwmk8SDVquFQqHwu89gXRJiDQZayIgSDIcOHcL8+fMDFpqNjY2YM2dOUOnHcRcMAKS0D09Ea+K2WCxoaGgAx3GoqqpCampqTI7b0DQOwBHlzbAMGIiNphJFLJzFEIK11n0oyTIjraICahULngcMXX3Qmr/CIDMHepJIfuWz2/pATn1lrTYBTW1GzK+IfJBgamoqUlNTMXXqVAiCgLGxMYyMjKCrqwuNjY3QaDSSgMjIyPB4sw5WMJzJKZWRgrokJrN48WL09/e7PPj6oqqqCvX19ZgxY0bAx0gIweALuVwe8RgGscRzTk4O5s2b5/HHzLIsCCERbbk6YeDQP2iFQs7CZhfAS7Wg4z1Zx/v48eXab2mxeUMpbEM6tGzRg9HmQ5Hq+GmwMiBrRiFUx3rwx1tSkbXqXNQdHsEvH+mK86jdOfusDyzrsDBwPMGr/xrAnJlpUMijZ2ZmWRbZ2dlS8Tar1SpZHw4dOgRCCLKzsyXrQ0pKinQPCdbCkJqaSi0MPiCIgEsiMQsdhwwhBPfee++kh19v2Gy2oI+R8IJBrAwWiYmbEILu7m60tbVh9uzZmDZtmtcfpfgDj6RgsNkFsCwDQRBOpVPG2wWQTJNK9ETNyX7HD4eRsafs3G7WLnLKYS5zfA9049EPwg2fM9/6IAiAXAbI5QwGh6xobjPinLmxS0VUqVQoKipCUVERCCGYmJjAyMgI+vr60NraitTUVGRnZwddkpfWYPAPtTBM5oILLkBra2vA61dVVQWdEZQQgsGfSwIIreObM2J/Cp1OF1CJZ+fjRqrEbJZGAZWSAccD8X+qTxaxEH1R9dlXBnzju7UAgCnqq7Bo5ABmpMggVzCw8AyGh8w4lH8F2p4B8Ext1MYRPbxZHzy9lzywjKOLJcM6zqhv0BpTweAMwzDQaDTQaDQoKyuD3W6HXq/H8PAwAGDfvn3IysqSrA++LAhnQh8JSuzx1Lo80iS8TUacuMNxS5hMJnz55ZewWCyorq4OqB+E+GOOZBwDywKZ6VYQwTEJyuJ29eMhFkJpyhR7UXWSaPEf7dfxjP1ibDd9DTutF+Gfmm+gDaUxHUd0OTMaZvECpFomRiOP9NTw0h8jiUKhQH5+vuQfXrp0KXJycjAyMoL9+/fjiy++QEtLCwYHB2G32122jVQMg06nw8aNG6HRaJCVlYWbbroJBoPB5zYWiwW33347cnJykJ6ejvXr12NgYEB6v6GhAddddx1KSkqgVqtRWVmJp556KuyxBoujcFO4zaeSVyzHi4SwMPiCYZiwAhAHBwdx6NAhl/4UwRw3UqmVYlEoGWt2xGXwky3fsSFelg1PJnJf44inBYYBmDPjKdw3yd3zQsY6vEV2joCAYF5F4pnxRctoeno60tPTUVJSAp7nMTo6Cp1Oh46ODil4Mi0tDYODg5iYmIiIS2Ljxo3o6+vDnj17YLfbsXnzZmzZsgW7du3yus1Pf/pTvP3223jttdeQmZmJrVu34uqrr8bnn38OADh48CDy8/Px17/+FSUlJfjiiy+wZcsWyGQybN26NewxBwp1ScSHhBcMQGgZC4QQHD16FJ2dnZg3bx6mTJkSk+N6wmAwoK6uDmq1GosXzsInX3XCzpE4pPXH2w0i4s+/ngjjjPfx40XyxD7wopYnwPRiNbI0/lMcY42ngEf3vhcWiwU6nQ779u2TugoWFxfjpZdewtq1a1FYWBj0cZubm/Huu+9i//79WLp0KQDgD3/4Ay677DI89thjHu+HY2Nj+POf/4xdu3bh4osvBgC88MILqKysxJdffokVK1bgxhtvdNlmxowZqKmpwRtvvBFTwUCJDwnhkgikFkMwLgm73Y7a2lr09fVhxYoVIYkFwBEVHa5gGBwcxJdffon8/HwsWbIE5aXpYFmH/zW2JMIk7AnG6ZWcpvEzF+fPBki0z4c95Y5gGGB+ZeJZF4DAYq9SUlIwZcoUXHXVVejq6sLq1auRl5eHP/7xjyguLkZVVVXQls6amhpkZWVJYgEA1qxZA5ZlsW/fPo/bHDx4EHa7HWvWrJGWVVRUYNq0aaipqfF6rLGxMWi12qDGFy5iL4lwX5TgSAoLQzDVHsfHx1FXV4f09HRUVVUFVFjFG+G4JMQmVh0dHS4dOHNzlFAqZDCZuRhN376CBhNJRHgaS/KYx88OEsv6IBCHWGAZoLgwcq3nI0mwNRiUSiWys7OxaNEiPPzwwxgeHsahQ4eCDvju7+9Hfn6+yzK5XA6tVov+/n6v2yiVSmRlZbksLygo8LrNF198gVdffRVvv/12UOMLF0IYEBKmSyLM7c9GEsLC4I9AXQMnT57Evn37MHXqVJx77rlhiYVgjusOx3Gor69Hb28vVqxY4dKuW5MuR0oK63BHMNGuNpxIgsAX3sbpLnQS6wn37CZxrA8pKSxSVIl5Kwu3tXVubq7kHgCAu+++GwzD+Hy1tLRE9By8ceTIEVxxxRW4//77cckll8TkmJTAMJvNMJlM0t9dXV3Yvn073n///bD2mxAWhnDLQwuCgJaWFvT19U0q8RwOobgkjEYj6urqoFKpUFVVBaVS6fI+wzBIT1NgYMjmSO+fdOqRmuSTXSx4ItjASUrsiI/1gWGAFBWLgjyl/5XjQKiCwVtr6zvvvBPf//73fW4/Y8YMFBYWYnBw0GU5x3HQ6XReYyIKCwths9kwOjrqYmUYGBiYtE1TUxNWr16NLVu24J577vF/UhGHjUDhpcQUmZHgiiuuwNVXX41bbrkFo6OjWL58ORQKBYaHh/HEE0/g1ltvDWm/CSEY/OGr2qPFYkF9fT14nvdY4jkcgnVJDA0NoaGhAVOnTsXs2bO9mhHzchQ4fqpQYJA1XQLkTBQL7lD3ReIS/c+GOfUfQXDUNyktiWxL6kgRbJVHwHdaZV5eXkAPRFVVVRgdHcXBgwexZImjB8oHH3wAQRCwfPlyj9ssWbIECoUCe/fuxfr16wEAra2t6O7uRlVVlbReY2MjLr74YmzatAkPP/xwUOcWKWiWhG9qa2vx5JNPAgD++c9/oqCgAHV1dXj99ddx3333hSwYkkJiebMw6HQ61NTUIDU1FStWrIioWPB1XHcIITh+/Djq6+sxd+5cVFRU+PQ5lpWkOoIeqViI4P4SwzxO8UTk6z6IhVIZBpgzM3EbNYVScM5gMISdVllZWYlLL70UN998M7766it8/vnn2Lp1KzZs2CAFgff29qKiogJfffUVACAzMxM33XQTtm3bhg8//BAHDx7E5s2bUVVVhRUrVgBwuCG+9rWv4ZJLLsG2bdvQ39+P/v5+DA0NhTVeSmQxmUySler999/H1VdfDZZlsWLFCnR1hV7WPiEEQ7AuCUIIOjs7cfDgQZSXl2PBggVh96z3RCAuCY7j0NDQgO7ubixbtiygjIx5FRlgWQYymaOYU2RIpifsaIuaeBYmSiahEo+xhhP74LYeAygVDIoKEtMdAQTvkiCERKxw0yuvvIKKigqsXr0al112Gc4//3w899xz0vt2ux2tra0uvu4nn3wSl19+OdavX48LLrgAhYWFeOONN6T3//nPf2JoaAh//etfpbLYRUVFOO+888IebzCIFoZwX2cqM2fOxO7du9HT04P33ntPijEZHByERqMJeb9J4ZJwTqvkOA6NjY0Bl3gO97i+XBImkwm1tbVQKpWorq6eFK/gjYXzMpCRLsfouB2RqQuVbFaFWI41lq6LZPkcEonQYx8YAEoli6lFiZkhAYQWw2AwGLzGMASDVqv1WaSptLR0Ukn+lJQU7NixAzt27PC4zQMPPIAHHngg7LGFC3VJ+Oa+++7Dd7/7Xfz0pz/F6tWrJZfS+++/j8WLF4e836QQDHK5HGazWQooVCgUqK6uhkqliupxfbkkhoeH0dDQgClTpgRVQRIA1ClyrLkgF2/8pw/h14VKlkkqUcYZrcDJRDm/ZCYwcedskNSky7BoXnz6RwRCqDEMkXavnmlQweCbb3/72zj//PPR19eHhQsXSstXr16Nq666KuT9JoRgCMQlYTQaUVNT4zegMJJ4ckmI7pCjR49i7ty5KC4uDmnfV1xaiPc+HMKoPZzOh8kySSXqOCNlfUjU80t2PIk7IuXPy+UMvnlJPlJSEqeHhDvBNq8jhPjMkqBQAsFsNkOj0UjZLV1dXXjzzTdRWVmJZcuWhbzfhIhh8AUhBCMjIxgbG8O8efP8BhRGEneXBM/zOHToEDo7O7Fs2bKQxQIAFOSpsHhBZohb03iF6BCKbz2Zzi+ZYaR/WRZgGAJNOoeinH709vbCYrHEdXTeCNYlYbPZwHEcFQx+EAs3hfs6U7niiivw8ssvA4CUVvn444/jyiuvxLPPPhvyfhNaMNhsNhw8eBDj4+PIyMhwKYAUC5xdEmazGfv27ZM6XmZmhjrZn2bhPA0U8jP5aTaZxupOIIGTyXx+yQshQHqaHDdcW4z8PA36+/tRU1ODffv24ejRo9Dr9RFrGhcuwQoGo9EIABFpPnUmQ4MefVNbW4tVq1YBOJ1W2dXVhZdffhlPP/10yPtNWJeEWOI5IyMDFRUV6OzsjPm4RJfEyMgI6uvrUVRUFFELx7LFWXgpXYbRMQ7MqZxy3yTLBJVMFpBAoDUfEgmlgsHF52uxelURZDIGpaWlsNvt0Ov1GBkZQWNjI3ieR3Z2ttTkKSUlPoGRwQoGg8EAhmFoDAMlLKKVVpkQgsGd3t5eNDU1YcaMGZgxYwZGRkYi0jUyWFiWhdFoRG1tLSoqKlBSUhLR/RfkqbB0YRY++Gz4DBMLyTDOcHG2Pjj/TYk2s8tTcdN3iyGTnb7mCoUC+fn5yM/PByEEBoMBIyMj6O/vR1tbG1JTU5GTkwOtVousrKyYuTWDDXo0Go1IS0vcuhKJAg169I2YVnnVVVfhvffew09/+lMAZ1BaJcMw4HleKvG8ePFi5ObmAgi+W2Uk4HkefX19MJlMWLZsWdTSN7//nalobjOgf8gCQfBmZUiWSThZxhkqntJCqfUhligVDJYuzIRC7n3CZxgGGRkZyMjImGR9aGpqiqn1IdjCTQaDgQqGAKCCwTdnfFqlxWJBXV0dBEGYVOI5mG6VkcBsNqOurg4cxyEtLS2qtR4K81Ow5XvT8PT/14ERvd3t3XjULQiVs0Us+IP2u4gGcjnA84BCwWDx/OCekLxZHwYGBiTrg1arRU5OTsStD8G6JGhKJSUSnNFplYIgYN++fcjOzsbcuXMn/cDE4ENCSNSVt06nQ319PfLz85GXl4f29vaoHg8AVi7TIlerxH2/b8XwiO3U0mSagJNprKEQ6vlR60OkEJ8XyqerMbMs9L4R7tYHsSGTJ+uDVquFWh1ej4pQYhiohcE/BBFob32G/w4LCwsnNQ0LJ6USSBDBwLIsli1bBpVK5fGHIpPJQAiJqmAghKCnpwetra2YM2cOSkpKoNfrY2bZmDMzHb/40Uz84qFG2DggeSYVKhYCh1ofgkXGOrIiGBZQqwg2XFUY0XuAXC53sT4YjUYX64NarZZcF6FYH0KJYaAZEv4RwEAI87cT7vbJQFNTE7q7u2Gz2VyWf+tb3wppfwkhGAAgNTXVayqUWPiE47iAyy8HgyAIaGpqwuDgIJYsWQKtVgsgtPbW4YxBjh4smmvFgcNqMIzjRilEtdy/cwesUNM7z+QfXTTFUOglkc8meMFR2VGlYLB4rhUL50avPgHDMEhPT0d6ejqmT5/uYn1obm4Gx3HIzs6W3Bf+rA+EkKBjGMSgR4pvaAyDb44fP46rrroKhw8fBsMwUglwUWyHOq8ljGDwhfiDi8bkLcZOEEJQXV3tEgAVbHvrULHZbKirqwPP87i4msHJIQV6++1S62tRPESHUJ56z3SrAhDbc4yH6yKxP0OGAVjGIZjT02T47lW5yExpj1l2A+Dd+jA4OIj29na/1gfx3hFKlgSFEg4/+clPUFZWhr1796KsrAxfffUVRkZGcOedd+Kxxx4Leb8JIxh8mRkZhgm41XQw6PV61NfXIycnB/PmzfMaOxFNxsfHUVtbi6ysLCxYsAA1NTW4eWMenn1pBAPDVrAsItBvIlACEQ+JPdFEhnifY7RdF/E+P/8QAggA0tQsbr5+KlYsVqKuLn515vxZH+x2u0vmhVqtlu4d1CUReSJRqfFMrvRYU1ODDz74ALm5uWBZFizL4vzzz8cjjzyCH//4x6irqwtpvwkjGPwhl8sjmlrZ09ODlpYWzJ49G9OmTfMoWFiWBSEEgiBE5cmmv78fhw8flupNMAwDlmVRXqbCPT+dift/34bRMTtYFiBCrJsRn60m80SbTCNtfUi08/OMTAZkZSpw5w+nY/ECDcbHx2NqXfBHINaHUKrBGgwGKhgCwFF3NVyXxJkLz/NS4abc3FycPHkSc+bMwfTp09Ha2hryfpNGMETqaV8QBDQ3N6O/vx/nnnsucnJyfB5T3CaSNytCCI4dO4aOjg6cc845KCgokN5jWRaCIKBydgbu2lqOp/7UgRGdDVZbPL/eYqzDmVysKFliMsKxPiSHWGAYoKxEjS3fm4oFlY6bXrCxALHEk/VBr9ejv78fAPDpp59Osj54w2QyhVVYh0IBgPnz56OhoQFlZWVYvnw5fve730GpVOK5557DjBkzQt5vYv4CPRAJwWC1WrF//36MjY2hurrap1gQjwlENnaC4zg0NDSgt7cXK1ascBELwGnBAABLF2bhlz+eieXnZiPIDrkRxn2iCaVJUyKTHBPpZALpdwGn9xP/HBkGWLIgA7+/f7YkFgCHyE5UweCOXC5HXl4epk+fDrlcjqVLlyIrKwuDg4P48ssv8eWXX6K9vd1jBdtIxTDodDps3LgRGo0GWVlZuOmmm2AwGHxuY7FYcPvttyMnJwfp6elYv349BgYGPK47MjKCqVOngmEYjI6Ohj3eYKHNp3xzzz33SPPIr3/9a3R0dGDVqlX4z3/+g6eeeirk/SaMhSGQFtfhuCTGxsZQW1sLrVaL+fPnB+RXDDei1B2xIJRMJkNVVZXHjA/3zIzK2Rm4/38y8PaeAfzhz53geBLFAEh3AnnqTnbXRXJMpP7x5bpInnOcXZ6Ke7eVQ6mcHECYLIJBRGxt7cn6MDIygpaWFin2gWEYKBSKiAmGjRs3oq+vD3v27IHdbsfmzZuxZcsW7Nq1y+s2P/3pT/H222/jtddeQ2ZmJrZu3Yqrr74an3/++aR1b7rpJpxzzjno7e0Ne6yhQLMkfLN27Vrp/2fNmoWWlhbodDrpuxYqCSMY/BFOtccTJ06gubkZM2fORGlpacAXTAy2jESmhF6vR11dHQoKClBZWen15udsYXDmG6vzUXdkHF8c0MFmi4VoCGWSSbZCRckzkQaPu/socc9VlDRpqTLcdXvZJLEAOARDshUz8lS0SbQ+5OXlSbEPOp0Or732Gh5++GHI5XKMj49j0aJFuPDCC0MqW93c3Ix3330X+/fvx9KlSwEAf/jDH3DZZZfhsccew5QpUyZtMzY2hj//+c/YtWsXLr74YgDACy+8gMrKSnz55ZdYsWKFtO6zzz6L0dFR3HfffXjnnXeCHh8letx4440Brff888+HtP+kkeyhuCTEeIXW1lYsXrwYZWVlQd90IuEKOXHiBA4cOICZM2di7ty5Pp+UxEDLycsZ/PSHZfhada4j5Syqn1ykJpdEdl0k7gQaOZwtRO6WoPh/FizrcEHI5QxS1Sw2b5iCKQUqj+smo4XBX9EmMfZh2rRpuPPOO3Hs2DGpwd2WLVug1Wqxbdu2oI9bU1ODrKwsSSwAwJo1a8CyLPbt2+dxm4MHD8Jut2PNmjXSsoqKCkybNg01NTXSsqamJjz44IN4+eWX4/p5UJeEZ1588UV8+OGHGB0dhV6v9/oKlYSxMATikghm4hZrG9jt9km9KYIhnOJNgiCgtbUVJ0+e9BtgGcjx0lLl+J/bZoBhgc/26WAy8eAjXiYiWhNpIrkuziax4InEqDhJTn13VSoGq1fl4NKv5XpdNxkFQ7CBmtnZ2VCr1bj99tuxfv16NDc3h3Rz7+/vR35+vssyuVwOrVYrBWJ62kapVCIrK8tleUFBgbSN1WrFddddh9///veYNm0ajh8/HvTYIgWBI+023H2cadx6663429/+ho6ODmzevBnXX3+9VIgwEiTNLzCYtMqxsTF88cUXUKlUWLFiRVjNXEK1MNjtdhw8eBAjIyOoqqoKSCwA3l0SIgzD4Mc/KMMN10xFbo7SaXnQQ/RArCZS96feWD7xnu1iwZ3YWx8YBlAoAKWSQXGREr/+n1Js/k4+COG9fveTVTAEU4NBdFGkp6eDYRjMnTsXK1eulN6/++67wTCMz1dLS0s0TgUA8Itf/AKVlZW4/vrro3YMSnjs2LEDfX19uOuuu/Dvf/8bJSUluPbaa/Hee+95tFwHS8JYGPwR6MR98uRJNDY2ory8PCQXhKfjBhvDYDAYUFtbi7S0NKxYsUIqbR2p4ykVLK5eV4QrLi3E//2lC2/+p99LW+xAiXdKYayeeKlY8E90Pwv2VG8IdYocq5Zl4fpvF0GT4fjOE0KkhwKxJon479kgGABHloSYP+/OnXfeie9///s+t58xYwYKCwsxODjoslwsNOXejEiksLAQNpsNo6OjLlaGgYEBaZsPPvgAhw8fxj//+U8AkCag3Nxc/OpXv8Kvf/3rQE4xItDCTd5RqVS47rrrcN1116GrqwsvvvgibrvtNnAch8bGxrDqfCSMYAjEJWG1Wr2+LwgC2tracOLECSxatAh5eXkRGVewLomhoSE0NDSgpKQEs2fPDlqwBHM8lgW2XD8VMpbgX+8NgRASQr2GRJtEo+G6iLcgiiWRPMfIfhYMA2SkyXD+8mzceN1UZKQrXN4XBEHqSiv+vwjHcWdE0KM/fGVJiMGS/qiqqsLo6CgOHjyIJUuWAHBM9oIgYPny5R63WbJkCRQKBfbu3Yv169cDAFpbW9Hd3Y2qqioAwOuvvw6z2Sxts3//ftx444349NNPUV5eHtR5hgvNkggMUXSLfU3CJWEEgz98WRhsNhsaGhpgtVpRVVUV0VrsgVoYCCHo7OzE0aNHMW/ePI+RyIHAsizsdrvf9QRBkF7f3zAVKpUM7+wdgn3UDkEItP9EookFdyKRdZHo5xgJYnGOoX0WYgaETAYsnq/BpmuLMbvcc/tmsYQtAMniwPM8eJ6HXq9HamoqbDbbJOtDohJsp0pnl0Q4VFZW4tJLL8XNN9+MnTt3wm63Y+vWrdiwYYN0X+rt7cXq1avx8ssvY9myZcjMzMRNN92Ebdu2QavVQqPR4Ec/+hGqqqqkDAl3UTA8PCwdzz32IdpQC4N3rFYr3njjDTz//PP47LPPcPnll+OZZ57BpZdeGvbvJXF/bW54S6scHx9HTU0N5HI5VqxYEfHGLYG4QgRBwJEjR9DZ2Ylly5aFLBYA/zEMzk9fYjEbuYzF975djJ2/m4+f3DwdRfkqKBT+fgzJOJEGG/eQjOcYLPE6R/+fBcM4lrIMcO23CvGbu2djzsz0gCwFLMtCJpNBJpOhqakJhBDMmDHDpZgax3Gw2+3gOC4mTeKCJdigR7PZDEEQvLokguGVV15BRUUFVq9ejcsuuwznn38+nnvuOel9u92O1tZWmEwmadmTTz6Jyy+/HOvXr8cFF1yAwsJCvPHGG2GP5Uzkf//3f8EwDO644w5pWSCFr7q7u7Fu3TqkpqYiPz8fP/vZzyLa8uC2225DUVER/vd//xeXX345enp68Nprr+Gyyy6LiLhOGAtDKFkSfX19OHLkiEsvhkjjz0VgtVqlbpdVVVUh5U27H8/bzU984nJuVep8zpoMOb5xcT4uqs7BZ/v0eOX1kxgascHOud/Mz4SJ1J+5/Ew4R38kyjlOtj4wAJRyBqyMwaUX52HzhpKg98pxnNQkZ8mSJVIskLP1wdnSBpw2wSaC9YHneY/F2bwhTt6ReOjRarU+izSVlpZOCoJLSUnBjh07sGPHjoCOcdFFF0UkkC4U4umS2L9/P/7v//4P55xzjstyf4WveJ7HunXrUFhYiC+++AJ9fX244YYboFAo8Nvf/jascxHZuXMnpk2bhhkzZuDjjz/Gxx9/7HG9UIVgwggGfzgLBkII2tra0NPTg4ULF05KIYrWcd0ZGxtDXV0dsrOzA64e6Q9vgsH5BineFL2hTpHh6xfmomppFna/M4C/vdkHjidQyAE7R85AU5w38XAmkyhi4TQMA6iUDOwcoE5hUZALVJZbMKv4GBoaRpGTk4Pc3NyARLXdbpeqoi5atMjltyUKAedeL+JvQ7TAOcYTX9dFsDEMBoMBLMv67DVBcSAQxyvcfQSLwWDAxo0b8ac//QkPPfSQtDyQwlfvv/8+mpqa8N///hcFBQVYtGgRfvOb3+DnP/85HnjggaDEpTduuOGGqMb6JJRgEIMzPCGmVdrtdjQ0NMBsNmPFihVR7+zmLYZBtG5EKhtDxJNgCEYsOJOeJsf13y5Gfi6LHS/0gBcYyGQsuEkWhzONxKgzED0STywAjiBctVqO9Rfn4vpvF0Mmc/yeDQYDhoaGcPLkSbS0tCA9PR25ubnIzc1FZmbmpO+zzWZDbW0tVCoVzjnnHL+TrrfYB/fASXG9WImHYGMYxIDHZAvuPJu4/fbbsW7dOqxZs8ZFMPgrfLVixQrU1NRgwYIFLv2D1q5di1tvvRWNjY1YvHhx2ON78cUXw96HLxJKMPhCJpPBbrejpqZGSldUKBT+NwwTd5cEIQRHjx5FV1dXVKwb7oLB2eQajFgQ0el0UJAWbP1+IRrbU9B9woyek1aYLRxs/mMrkwxPE2kiFYyKBIkpFmZMV2PzhmJUzsqAJuP0bYVhGGRkZCAjIwMzZsyAzWbDyMgIhoeHUVdXB4ZhJPGQk5MDQRBQW1uL1NRULFiwIOjJ3dn6QAhxEQ++0jajQbAxDM41GCi+iaRLYnx83GW5SqWCSjW54ujf//531NbWYv/+/ZPeC6TwVX9//6Rmg+Lf3gpqJRpJIxhGR0dht9sxbdo0zJw5M2Y/KuemVxzH4fDhw5iYmIiadUMUKM43O3F5sOfc29uLlpYWVFRUoLi4GF//mmP5+ASHdz4Ywlt7BjE0YgOAMOs4xJtA0yaTrdeFO4kjFhjGkfkAwqDqvCzc/aMZUMj9T45KpRJFRUUoKiqCIAgYGxvD8PAwOjo6cOTIETAMg9TU1IhY7dxjGZzFdyysD8G6JIxGY1hF5s4mIpklIZbjFrn//vvxwAMPuCzr6enBT37yE+zZsyfsOLVkJqEEgyeXhPhE39nZCQAxFQvA6RgGk8mE2tpaKJVKrFixIiL+Jk+IFgbnQC734EZ/iNfsxIkTWLx48aTSoJoMOb5zRRHWryvAS//oxb/eG4TZIh4rkHTMRCKcSTSZXBfxFwsKBQNBIOB5QMY6SpVf+rVcbLq2GPIAxII7LMsiOzsb2dnZmDp1Kvbv34+UlBQoFArs378fSqVSsj5otdqwY4Q8uS7E31k0rA+hCAbqkog9PT090Gg00t+erAsHDx7E4OAgzj33XGkZz/P45JNP8Mwzz+C9997zW/iqsLAQX331lct+xSwKbwW1Eo2EEgzu2O12HDp0CEajEUuWLMFXX30VtF8wXFiWhdlsRk1NDYqKilBRURFVHyjDMFKshkwmC/pYPM/jyJEjmJiYwLJly3xGXMvlLG76bgnWrcnD3Q+3YXjEBoEgiWIcIjmJJrLrIn5iQSYDpAdx4vjOzJ2Vik0bilFWkoqM9PBvISaTCQcPHkReXh4qKirAMIxUe2F4eBgtLS2w2WzQarWSgAg3MNBb4KSnolGhWh9CCXqMdkzWmQIh4T/YiNtrNBoXweCJ1atX4/Dhwy7LNm/ejIqKCvz85z9HSUmJ38JXVVVVePjhhzE4OCi5svfs2QONRoO5c+eGdzIxImEFg8FgQF1dHdRqNaqqqqQfayjV08JhbGwMo6OjmDdv3iTTVaQhhCAlJQU8z+Ozzz5Dbm4u8vLykJOTE1C8hsViQX19PWQyGZYtWxawFaQwPwWPP1CBv7x2Ep/u08FgdNwsVUoWHCeAC79AWBSI5iSaSK6L2IoFpYIBxxMXF5VCwWB6sRpVS7Mwd046Fs3XQMZGZkxGoxEHDhxAYWGhS2VUmUwmiYM5c+bAaDRieHgYAwMDaG1tRWpqKvLy8qTAybAL0vgInAw1bTPUoEeKfwQwEML8XQSzfUZGBubPn++yLC0tDTk5OdJyf4WvLrnkEsydOxff+9738Lvf/Q79/f245557cPvtt3u0aiQiCSUYxJvF4OAgDh06hGnTpmHWrFkurgqO46LmDnBGEAS0tLRgcHAQ6enpMRELPM8jJSUFq1atwsTEBIaGhiTfbnZ2NvLz85GXl+fRhzY+Po76+nrk5OSgsrIy6BtoTrYSd2wpxdYbp6G5zYgn/9SJwWGrNFeJu0uMWIdYP3HHy3URD8sCgYxlwDAEKSoWCyoycEGVFhdVa0NyO/hiYmICtbW1KC4uRnl5uVdTvNgGOj09HaWlpbDb7dDpdFIZdkKIlLKZm5sb9v0hUmmboQQ9UsGQvDz55JNgWRbr16+H1WrF/9/eeYdFce5v/96lL703aSIIIr2JmohHT1BRwJhmisZEk5josaVofp5oYprRxByjOZpqYk6MBdRYYsMSjURDWTqIIKCU3aUufdu8f/DOBJS2fYHnc117XTrM7D4Duzv3fNsdFxeHL7/8kvm5np4eTp48ieXLlzMTiRcvXoz33ntPi6uWD50SDHTu/c6dOwgMDOyV12GxWP1Oe1Q1IpEIXC4XIpEIvr6+qKqqUttr0cWN93dCWFpawtLSEuPGjUN7ezsEAgFzd2VmZgZ7e3s4ODjAzMwMAoEAeXl58PLygqenp1I5UH19NgInmOPr7RORX9yK9g4p9PVZSD5Zi9zCFohkFFgsQF8PEKtuQJkcaDuXr8nUhWbOk80G2GwWxrgYo7FJDGMjNqZPscUTCU4wM1XPV4RQKERmZiYzZEYeDAwM4OjoCEdHR1AUBaFQiLq6OlRWViI/Px+WlpaMeDA3N1e6JkDetk2g+/tKkQgDSUkMDV0YDX358uVe/x/K4CsPDw+cPn1aqdfVJjolGAoLC1FbW4tJkyb1OR5VUatpeaCdJs3NzREWFobGxka1jZ3tKRSA/jshOBwOPDw84OHhAZFIhLq6OggEAlRUVDD5Xk9PT3h4eKisYEpPj4WgCX//DSKCLdHWLkHq1XrsO1iFjs6//w76/z/Prf7KB22LhftRR+pCM+fIZndHi1gA7G0Nut1P4xzAVlGqYSCampqQlZXFCFxl6Cmuvb290dXVhbq6OtTV1aG8vJxJbdjb28PGxkYu59i+GCz6QBdO9oxCDBUiGIaOKmsYCENHpwSDl5cXvLy8+g0p9mxxVAd0KsTDw4PpxlCXSLl/zPNQQ5eGhoZwcXGBk5MTCgsLwefzYWdnh6qqKty9e1fuugd5MOXoIyHOEbFTbJGZ04zGJjFOXRCgmtcFFpsC9f91FX0xUi26Jhb6QtnUhfrOkcXq9nSQyroLGQ302ZgUbonnHnOFq7OxRoQC0D0XhMvlwsfHRy1pPiMjI7i6usLV1RUymQxNTU0QCAQoKSlBR0cHrK2tmeiDKsL/90cf6EdtbS0zC0IkEg2pcLKtrQ3W1tZKr2k0QNwqtYNOCQYOhzOgIFBXSoKiKNy5cwelpaWYOHEinJ2dmZ+pQzAoOrmRhu4eEYlEjH8FHZqVp+5BUSzM9BE72RYAkDDLEdw8IaprO5Ff3IprNxohkf4t3ZWvfRiu1tTypi5UKxboOQn0x4nFAoyN9ZA02wFzZtiDY6IPU47miocBoL6+HtnZ2Rg/fjxcXV3V/npsNhs2NjawsbHB+PHj0d7ezkQfSkpKYGJiwogHa2trlRVOVlVV4c6dOwgODoahoeGQ2zbb2trUXitFICiDTgmGwVDHxZtuQ2xsbGRsXnsymPmUvPSMLCgiFtrb28HlcmFiYoLIyEgmxCpv3YPKUhdsFsKDLBEeZIl5jziC91QXMnOEKC5tw4Xf6yCjui9WoKhu50J2jza9QRkOUYWhMFjqQjXnSV97DPS7Ox1AseBga4CEWQ7wG2eKsR4ctdUkDIZAIEBOTg4mTJjQS5BrEg6HA3d3d7i7u0MikaChoQF1dXXIz8+HRCLp1bapqMCurq5GcXExQkJCes0/GcrQKFL0OHS05SUx2tEpwTAUx0pVpiQ6OzuZ8bQxMTF9trb05yUhL/0VN8pDY2MjsrOz4ezs3KsFrS961j2IxWIIBAKm7sHAwAD29vawt7dXyZ1VTxztjTB7hj1mz7DH04864/L1BrS0SjDB1wyW5vpIPsVD/q1WNDV3z6XuPxc5UsRCXyhmlsVm4//XrNBupd2Cja0HhEwwh5mZPkInWmDaZBvUN4ghEsvg5mKs8u4GeeHxeMjLy8PEiRMfGI2rLfT19eHg4AAHBweF/C76oqamBkVFRQ+IBaD/wkn6e0EikeDWrVsIDg5Wy/mOOFRQ9IgRZ8KnfnRKMAyGKiMMzc3NyMzMhJ2dHQICAvq9aLLZbOZCr+iFdajFjQNRXV2NwsJC+Pr6yh22NDAwgIuLC1xcXJiBOHw+H3l5eZDJZGqre3CwM8ITCb3vJieM7y6kvFfdiQPHqvEXtxkA0NIiAZiLYbdYoH9FI7c46X5R9GDqgtVjq0wGsNkU2GzA3tYQvmNNMcbFGLP+YQ9nh95i19VZs+mG/qipqUFBQQGCgoJgb2+v7eX0ibx+F319RmpqalBYWIjg4OAHxML99FU4+cUXX+Du3bvw8fFR/QkSCCpiWAkGVdUwVFdXIz8/Hz4+PoN2FvT8UCsiGBQtbux5fGlpKe7evYuQkBDY2trKvYae9ByIM1Ddgyqm6Q3EGBdjvPHq3+105Xfb8XNyKQpLWiGo735b0hdKpqJ/2I2tHohuscBm9QyNsu47x+40jrERC6ETTcGrk8HYSA+xk20wZ4Y9DA21GzkYjKqqKhQXFyM4OBh2dnbaXs6QGczvgm7btLe3h6mpKXg8HiMW5P18UhSFr776Clu3bsXFixeZIT+EgSFdEtphWAkGZSMMFEXh1q1bzMV3KHc8tGCQSqVyt2QpW9wolUqRn58PoVCIyMhIlbdcDbXuwd7eXiX97P1BURQ6WiswJbQBK18Mw71aFr7/5R5yClpgoM/G9Ck2mBZjg0t/1CMrr4UxzKJXw2J3f/hZ0L28ZM8IAUCLn26xoMfuXi+bDZgY68HXm4O6ejHGuBghdKIFpFIKeuwueLp2oEVYB5FI9P8HFIlBUWIAujsd7u7duygpKekzPD+c6Ol34ePjg46ODqZwsqysjEmTenl5PeBUOBgUReH777/H5s2bcerUKSIW5EDTkx4J3eiUYFBnDYNEIkF2djba2trkcpqkx8DKK1SUFQtdXV3gcrlgs9lyjXlWBm3UPUilUuTm5qK9vR1RUVEwMTGBvznwyb/9IJVRYLP+fl+EB1uCoiicuiDAT0eq0dgshh6bhYcmWeOxuY44/3s98gpbweHowUCfhYJbrejskjF38XpsFtPB0fvO/m/oizhFPRjR6CvCQW8zMmShS/T3D/19TGFsoofsPCFYFBDgZwZr8060d3RiUoQbxo21xOXrDWhoFGOclylm/cMOVhb9p4MoikJbW1uvPLu5uTlzp6tOQScvFRUVKCsrQ1hYmNwXUV3HxMQEbm5ucHNzQ21tLfLy8mBra4vq6mqUl5cP2e+Coijs378fGzZswIkTJ/DQQw9p8CwIBMXQKcEwGPr6+ujq6pL7ONpp0sjICDExMXLl6enWJ3kEQ89qaEXEQktLC7hcLqysrDBhwgSNemfQDFb3YGtrCwcHB6XqHuiJmiwWC5GRkQ88T19+BSwWC3P/6YDZ/7BHfaMIZqb64Jh0/358xvYWgd0FZUBbuxQXrtajuqYTTo5GCPA1w89Hq3EjsxkUBXh7cmDKYaOlVQpvTw7mz3ZEraALh36txb3qTrg4GSEkwBzVPBEaGkXw9TaFlaU+Cm+1QU+PhSmR1oidbI3CkjYI6kXwcufA27PbplgskUEqlaHkViGEwnaEhYUxF5IJvg8OJ+uPnuORvby8Hhjgpa+vz3grqMLZUVHKyspQWVmJsLCwBzqORhJ8Ph/5+fkIDg6Gvb09I+iG4ndBURQOHjyI119/HSkpKYiNjdXuyQxDSEpCO7Co+/2ktQg95KQ/ysvL0djYiNDQ0CE/Z319PbhcLlxdXeHr66vQnfHFixcRHh4+6Bfg/cWN8tpSA2DGPHt4eMDLy0tn7hppetY9CAQCZtgMHX0Yat0DLeIsLCwQEBCglQucWCIDJYNaawGkUimys7MhEokQFhamlkiRTCZDY2Mj8zf5O3XRHX3QhLENXWtz7949hIeH9zmpdaRAt4gGBgYyroP309Pvor6+HjKZDNevX4e1tTWMjIywfv16HDp0CPHx8Rpe/fBGKBTC0tISBy41gGM2sMPkYLS3CrFwug2am5sHdaskdKNTEQZVpiQoikJlZSVu3boFf39/jBkzRuF1DSXCoGxxIwBUVlbi9u3bmDBhgs76o/dX98Dn83Hr1q0h1T00NzcjKytrSO2h6sRAze2GYrEYWVlZYLPZCA8PV/nkTRo2mw1bW1vY2toyzo6aTF3QtUG1tbWIiIgY0eONBQIBcnNzMXHixH7FAtC338W1a9ewY8cOVFdXw9fXF1lZWXBxcUFISIjO3RgQCH2hU4JhMIZa9CiTyVBYWAgej4eIiAilx60O9rrKzleQyWS4desWeDzesMv7ylv3QH/hent7w8PDQ9vLVxtdXV3IzMyEiYkJAgMDNRZB0XTqgqIoFBUVoa6uDpGRkeBwOCo6E92jrq4Oubm5CAgIkGueBC2yIyIisHPnTuzduxf6+vo4deoUPvnkE+zduxcLFy5U48pHHmRwk3bQOcHQ08r6fobSVikSiZCVlQWpVIqYmBiVtAYONLxJFWOec3Nz0dnZyRT9DVf6qnsQCATIz8+HVCoFh8NBS0sLJkyYABcXF20vV23Q6Ra6BkWVg7HkhfYecXFx6ZW6KCoqUjp1QVEUCgoK0NjYiIiIiGH93h2M+vp6ZlKlIsOnUlNTsXjxYnz99ddYuHAhWCwWXnjhBYhEIrWZ241kSA2DdtA5wTAQg93pt7S0IDMzE5aWlpg4caLSznSDva6yxY0dHR3IysqCsbExoqKiVLZeXaDnvIfx48ejsLAQNTU1MDY2RkFBAWpqauSuexgO0O9BJycnraZb+kKVqQuZTMa0/EZERKjUq0TXoD0w/P39FUoV/v7773j66aexe/duRizQaKL7aSRCzKe0w7C6Qg1Uw8Dj8ZCTkwMvLy94e3ur9Iv6/hoGepwrvU0RsdDU1ITs7Gw4OjoqXIw5HJDJZMxdKN3Oqkjdw3CgsbERXC4Xnp6e8PT01OnzUCZ1IZPJmFbYiIgIjRRVaouGhgZkZ2fDz89PIQ+MP/74A0888QQ+++wzLFq0SKffEwTCYOicYJA3JUFRFMrKylBWVoagoCC1zKrvmZK4v7hRkU6I2tpaFBQUYNy4cXB3d1f5enUFevaFWCxGVFQUc2G5v+6hrq4OfD5f7T4X6oSuzfD19VWqwFZbDDV1YWNjg+LiYnR1dSE8PHxE3yHTAtDPz0+hFNqNGzfw2GOP4cMPP8TSpUuJWFAhMqighkElKxld6JxgGAg6NUBRFDNMKTc3F01NTZg0aZLaWrnoCIOyxY20uKmsrERgYKDOztZXBbSxl5GRESIiIvpNtxgYGPQaw0u3otF1D6qY96BuaL8EXTJXUoaBUheFhYXQ09ODm5sbOjs7YWBgMCIvhI2NjcjKysL48eMVEguZmZl49NFHsXnzZrz22msj8nekTUgNg3YYdoIB6O5tp1vW9PT0MHnyZLXe6dBCRdkxzwUFBWhqakJERMSI7lNvbW1FVlYWbGxs4O/vP+QoAZvNZuoe/Pz8+vS50LW6B7oVVhU+H7oInbowNjZGfX09LCws4OLigoaGBqSnp+vMwChV0tTUhKysLPj6+sLV1VXu43NycpCQkID169dj9erVRCwQRgw6JxgG+nDRd6kNDQ3Iy8uDg4ODRqrQaa96iUQCfX19ub8A6ImGAHqF5kcidM7X3d0dY8eOVfjLUhXzHtQJHS26e/fukIZ6DWd6ivOIiAgmwqDqrgtdgBYLPj4+CqWWCgoKMHfuXKxevRpvvvkmEQtqgkQYtINOTXoEuvPe/XVCUBSFs2fPgs1mY/z48XB3d1frB5IubuTz+SgqKoJYLIadnR3j5jiUrobW1lZwuVytTjTUFLW1tcjPz8f48ePVmsfvWfdQX1+v8boHiqJQXFwMPp+PsLCwET2oSCQSMWPVg4KC+n3/9vS6EAgEEAqFOut10R+05f24cePktpAHgKKiIsyePRvLli3Dli1bdP58hyP0pMdvzzWBY6rkpMc2IV58xIpMepSDYSMY6C/p8vJyBAQEKPSBlof7ixuB7os/n89nRiLb2NjAwcGh37spunfbzc1N5Z0bugQ9VbO0tFTjtRk96x4EAoHa6x56thP29IUYidDDpzgcDgIDA+USYj27Lurr63U+dSEUCpGRkQFvb2+FCpFv376NWbNm4ZlnnsHWrVuHTbHucIMIBu2ic4JBKpU+0DopFouRnZ2Njo4OiMVihIaGKj29cSB6DmOizafup729HXw+H3w+n3kT29vbw8HBARwOB3fv3mXGUo/kIUU9xwKHhIRoNTSvKp+L/tCEL4Su0NnZiczMTJiZmWHixIlKXQB1wetiIGixMHbsWIWmj965cwezZ8/G/PnzsWPHDiIW1Aj9XfvNWdUIhqVxRDDIg84Lhra2NuYuJygoCH/++Sf8/f1hZ2enltdXZHJjV1cXk19vaGhg2j/pdqyRGlmQSqXIy8tDa2srQkNDdW4sMF33IBAI0NTUpFTdQ09fiJCQkBE1ZOt+Ojo6kJGRAWtra0yYMEGl719dS120tLQgIyODmZ0hL5WVlZg1axZmz56N3bt3E7GgZmjB8PUZ1QiGZbOIYJAHnf7Wq6urA5fLhZubGzM1b6h+Eoqg6JhnIyMjjBkzBk5OTsjOzkZbWxssLCxQXFyMO3fuMJEHKyurESMeRCIRsrOzQVEUIiMjdfJuW1XzHugWUU37QmiD9vZ2ZGRkMJ0qqn6/6pJNNy0WPDw8FBIL1dXVmDt3LmbOnIldu3YRsUAY8eicYKAHN1VUVKCkpAQBAQG9QvryOFYOFVVMbqQvKoaGhoiJiYGBgQGkUikaGhrA5/ORnZ0NAIx40MU87lDp6OjoFa4eDueh6LwH2hfC2tparhbR4UhbWxsyMjKY6aOaELfq9LoYiNbWVkYseHl5yX18bW0t4uPjMXnyZOzdu3dYfAZGEpQKzKd0K7Y+PNC5lARdr1BXV4fQ0NAHnBszMjJgb2+vsgmJPYcxAYpNbmxubgaXy4W9vT38/Pz6vKjIZDI0NzczdQ+KdFzoAkKhEFlZWXB0dMT48eOHfcRkoLoHDoeD/Px8ODs7w8fHZ9if60DQHhiurq46UaCrztRFa2sr0tPTmdZfeREIBJgzZw4CAwPx008/DZvP7kiATknsPd0MEyVTEh1tQrw8x5KkJORA597p9fX1aG1tRUxMTJ+GNqpMSQyluHEweDwe8vPzmerq/r7E2Gw2rK2tYW1tDV9fX7S0tIDP5zNDiQbruNAF6urqkJOTwxSHafuiogr6m/dQXV2NlpYWGBoags1mo6WlZVi0BiqCUChEZmamwhdQdaCu1AUdRXFzc1PoXOvr6zFv3jz4+flh//79RCxoCTKHQTvo3Lvd0dFxwFy/qlISytpSUxSF8vJy3LlzBxMnToSDg8OQj2WxWLCwsICFhQVzkeLz+Yxr4P0dF7pAVVUVioqKMGHCBIVMeIYLHA4HHA4H7e3t8PX1haGhIfh8PtLT04etz8VA0IOKvLy8FMrjawpVpC7a2tqQnp4OV1dXhcRCU1MTEhMT4eHhgQMHDujsqHICQV3onGAABp72qIoIg7JigXZgbGhoQGRkpNJjnjkcDlOl3bPj4vbt2zA1NYWDgwMcHBxgZmamtYmGlZWVCA0NhY2NjUZfX9P05QsxUN0DfZc7HC8etF/CcDNBU8Smm44suLi4KJRyEQqFSEpKgoODAw4fPqyTRb6jCZkKahiUPX40onM1DBRFQSQS9fvzW7duQSwWIyAgQKHnVtZAiu4OkEqlCAkJ6TNtoiroyn6BQIC6ujoYGBgw4kETHRcymQyFhYWor68f8RMNgb99IYKDgwf0hVD3vAdNUF9fj+zs7GHrrtkffQ2Msra2Rl1dHZydnRWqu2ltbcX8+fNhbGyMkydPqv3v+/vvv2Pbtm3IyMhATU0Njh49iqSkpAGPuXz5MtauXYv8/Hy4ublh48aNeP7559W6Tm1A1zDsPqGaGobX5pEaBnnQyQjDQOjp6aGzs1Pu4+4vblRELLS1tSErKwvm5uYa6Q7oWdmv6Y4LiUSCnJwcdHV1ISoqSq3CSNtQFIXS0lLcu3dvSL4Quu5zMRgCgQA5OTkjMr10f+qitrYWRUVFALrTap2dnXJ1XbS3t+Pxxx+Hvr4+jh8/rhEx2NbWhuDgYLzwwgt49NFHB93/zp07iI+PxyuvvIL//e9/SE1NxdKlS+Hs7Iy4uDi1r5cwetA5wTDYl6siNQz3j3lWJPdMmyqNGTMG48aN0/hFQE9Pj7kIURSFpqamBzwuVBUe7+rqQlZWFgwMDBARETEsw+1DhaIoFBUVQSAQICIiQqEoiqrmPWgCHo+HvLy8EWPFPRBdXV0oLS2Fq6srfHx8ehW09pe66ElHRweeeuopiMVinDlzRmMRttmzZ2P27NlD3n/Pnj3w8vLCp59+CgDw9/fHtWvXsGPHjhErGEjRo3bQOcEA/D2LoS/oKYpDRdl6BeDvgj8/Pz+F7G5VDYvF6rPjory8HPn5+Up1XNCTNa2srBAQEKD1C5w6kclkyMvLQ0tLCyIjI1Vy9ziUeQ/aqnug6zOCgoI06vehDTo6OpCeng57e3tmpsRQui4oioK7uzsMDAzw7LPPQigU4ty5czodsk5LS8PMmTN7bYuLi8Pq1au1syANQGoYtINOCoaBkKfokaIoJhqhaCdESUkJqqqqdLbgT5UdF01NTeByuXB1ddVKFEWT9PSFUNekSjabDTs7O2ZqIl33QAs7TdY9VFVVobi4GMHBwWobq64rdHZ2MtMq+6tZ6K/r4sMPP8TJkydhbm4ODoeDM2fOPDALRteora19IFrk6OgIoVCIjo6OYVFTQxgeDEvBMFhKomdxI0VRCokFqVSK3NxctLW1ISoqCqampsosW2Mo2nFBz5Pw8fFRuxOotunpCxEREaGRXvr76x46Ojo0Vvdw9+5dlJSUICQkRCdFryrp7OxEeno6bGxshjzaumfXxTfffINHH30UBQUFcHJyQlBQEEJDQ7F27VosXLhQA2dAGAokJaEddFIwDJSSGCzCoIrixs7OTnC5XOjr6yMqKmrY5vBpj4sxY8b06rj466+/enVcCIVClJaWyj1PYjiiK74QJiYmcHd3h7u7e6+/jarrHioqKlBWVoawsDCdv1NWFjqyYGNjA39/f7k/9xKJBMuXLwePx0NOTg4cHR0hEAjw22+/6bTQcnJyAo/H67WNx+PBwsJixEYXZLLuh7LPQZAPnRQMAzFQDYMqihuFQiG4XC5sbW1HlHdAfx0XmZmZkMlksLOzA4vFglQqHbFz8WljJfqCoit/W3XVPZSVlaGiogJhYWFatR3XBF1dXcjIyICVlZVCYkEqlWLFihXIzMzE5cuXmRC/vb09Fi1apI4lq4yYmBicPn2617bz588jJiZGSysijFSGnWDoL8Kg7HwFAODz+cjLy2Om3o3UHL6enh5sbW1RU1MDQ0NDeHt7o6WlRS0dF7oC7ZWg674Qqqh76NkmGhERofRgMV2HFguWlpYK2XHLZDKsXr0af/zxBy5dutTL7E4btLa24vbt28z/79y5Ay6XCxsbG7i7u2PDhg2oqqrCjz/+CAB45ZVXsGvXLrz55pt44YUXcPHiRRw6dAinTp3S1imoHZKS0A7DVjBQFMV8MahizDMdug0ICBjx7Wa0wZdUKkV0dDRT8Ed3XPS8QA0Hj4vBaGxsBJfLhaenp0LOhNpCkboHulC3pqZG4TbR4YRIJEJGRgbMzc0REBCgkFh44403kJqaikuXLunExMv09HRMnz6d+f/atWsBAIsXL8a+fftQU1ODyspK5udeXl44deoU1qxZg//85z8YM2YMvvnmmxHbUgkQwaAtdG7SI9CdS+wv7SAWi5GamoqZM2dCX1+fiSooM+aZ7sMPCQkZ8aHbzs5OZGZmwsTEBEFBQQOmH+iOCz6fD6FQCAsLC6buQVc8LgZDIBAgNzd3xE007GsKqJ2dHbq6uiAUChEeHj5sCnUVhRYLpqammDhxotwpJplMhrfffhspKSm4fPkyxo0bp6aVElQFPelx25FmmHCUnPTYLsQbj5FJj/IwLCMMQLeoYLPZjLBQRCyIxWLk5ORALBYjOjp6RE8zBLrD8llZWUy4e7Av2KF0XOjqNEMATGvpSIwa3V/3UF9fj1u3bqG9vR16enooLS0dcWmlnqhCLGzevBmHDx8mYoFAGCLDTjDQwkAkEjHiQZHitfb2dmRlZYHD4WistU6b1NfXIycnhxEA8l7g++u4oKv6NelxMRSG6gsxUqitrQUATJ06FSKRSGvzHjSBWCxGZmYmOByOQmKBoih89NFH+PHHH3Hp0iWMHz9eTSslqAu6dV7Z5yDIh05eJQe64FAUBX19fdTU1GDMmDEKRQUaGxuRnZ0NZ2dnZgrcSIae8Ofv76+Sgi5telwMhry+EMMdmUzGzAuJiIiAkZERTExMtDLvQROIxWJkZGTA2NgYgYGBComF7du3Y8+ePbh48aJCJnYE7UNqGLSDTgqG/qCLG319fXHv3j2Ul5fD0tISjo6OcHBwGJJ4qK6uRmFhIcaPHz+ictp9QVEUysvLUV5ejpCQELXcaWvS42IwVOELMZyQSqWMQVhERESf0yo1Ne9BE9CRBWNjYwQFBSkkFnbu3In//Oc/OHfuHIKDg9W0UgJhZKKTRY9SqfSBaY59FTd2dXUxRXmNjY0wNzdnxMP9RXn0nefdu3cRFBQ04sPUMpkMxcXF4PP5CAsL03hrHUVRaG1tZf4+bW1tau246OkLERYWNiJC7wMhlUrB5XIhlUoRGhoqtxjrOe9BIBBo3ediMCQSCTIzM2FgYIDg4GCFxMKePXuwZcsWnDlzBpMmTVLTSgnqhC56/PiXJhgrWfTY2S7E+qesSNGjHOikYJDJZBCLxQD+zlXRxY0sFqvPMCqdt+XxeGhoaICpqSkjHkxMTJiLSUhIyKi58+zo6EBoaKhOXDzpjguBQMB8QFXVcdHTFyIsLEwtvhC6hEQiAZfLBUVRCA0NVbr+hqIoZt6DQCBAW1ubTtU90GJBX18fISEhComF7777Dhs3bsSpU6cwdepUNa2UoG5owfDRAdUIhg0LiWCQB50WDPdPbuxPLNwPHXrl8Xior68H0J13DwgIgI2NzbDL28qDSCRifBJCQkJ07k4RQK+OC1rc0XUP8ubVe/pChISEjPjiVfp89fT0EBISopYakZ51D01NTVqte5BIJMz5BgcHy32+FEVh//79eOONN3DixAnExsaqZ6EEjUAEg3bR2W9XZYYx0UV5ZmZmEAqFMDExgaGhIbKzs2FoaMjc2VpaWo4o8dDe3o7MzExYWFggICBAZ0c899dxkZ6eLlfHBT1TgsPhaNUXQlOIRCJkZmbCyMho0BkayqArdQ+0WGCz2QqLhV9++QWvv/46jh07RsTCCILYW2sHnRQM5eXlMDMzg4mJicJjnumBPfR0P9onob6+Hnw+n7lroS9O1tbWw1o8NDc3IysrCy4uLjo9+vh+FO24aGtrQ2Zmps75QqgLeu4ALY40db7q8rkYDLpGg44cKSKOUlJSsGrVKhw6dAgzZ85U2doI2od0SWgHnUxJvPDCCzh48CD++c9/IjExEbNnzx5yyIiiKNy9exe3b9/GhAkT4OTk1Od+9JcfXZTHYrFgb28PR0fHYVEx3hNaHI0bN04nRtuqgp4dF3w+v1fHhZGREXJzc3XeF0JV0JEUMzMzheYOqAN11j3QYoGu0VBELPz666948cUX8fPPPyMxMVHhtRB0Czol8f7/VJOS2PgMSUnIg04KBplMhpycHBw5cgRHjx5FaWkpZsyYgcTERMTHx/cbqu7ZGSDPmGeKotDY2MhcnKRSKSMetDFLQB7u3buHW7dujchphjQ9Oy5qamrQ0dEBDocDDw+PYe1xMRQ6OjqQkZEBa2trhYyVNIWq6h5osSCTyRAWFqbQZ+/06dNYvHgxfvjhBzz22GNyH0/QXWjBsGV/o0oEw7+fsyaCQQ50UjD0hKIoFBYW4siRI0hJSUFBQQFiY2ORlJSEuXPnwtbWFiwWC3V1dcjNzYWxsTFCQkIUvsOhKArNzc3g8/ng8XjMna2joyPs7Ox0Rjz0bBMNCQmBtbW1tpekdnqmmdhstlo6LnQJ2o6bHuWtq2LhfvryuRhK3QPd7UK3iipSwHrhwgU8/fTT+Prrr7Fw4UJlT4WgY9CC4d0fVSMYNi0igkEedF4w9ISiKNy+fZsRD1wuF1OnTsWkSZPw008/Yfr06di1a5fKKuUpikJLSwsjHjo7O2FnZwcHBwet9qrLZDIUFBSgsbERYWFhI95kCPh74NbEiRN7RVJU2XGhS7S1tSEjIwOOjo7DehrpUOc9yGQycLlcSCQShIWFKfQZvnLlCh5//HHs3r0bixYtGra/M0L/0IJh8w+qEQybFxPBIA/DSjD0hJ5i+Omnn2Lv3r2QSqWIiYlBUlISEhMT4erqqtIvDIqi0NbWBh6PxwwisrW1ZQYRaar3XyKRIDs7G2KxGKGhoSM6HE9TUVGB0tLSQX0hJBIJ6urqwOfzmTtbXfO4GAotLS3IzMyEi4sLxo0bN2zWPRj91T3Y2dkxYiIsLEwhIX7t2jUsWLAAn332GZYuXaqR39nu3buxbds21NbWIjg4GF988QWioqL63Hffvn1YsmRJr21GRkbo7OxU+zpHEkQwaBed7JIYCiwWC2lpafj++++xY8cOJCYmIiUlBSkpKXj77bcRHh6OxMREJCYmwsPDQ+kvEBaLBTMzM5iZmcHb2xvt7e3g8Xi4d+8eCgsLYW1tzVyc1HUR7+zsRFZWFoyMjEaFYZa8vhD6+vpwcnKCk5OTznlcDBWhUIjMzEy4u7sz3T0jBRaLBUtLy14+FzweD3fu3IFYLIapqSkqKyvlrnu4ceMGHn/8cXz88ccaEwsHDx7E2rVrsWfPHkRHR+Pzzz9HXFwciouL4eDg0OcxFhYWKC4uZv4/kv62mkYmoyBTsi9S2eNHI8M2wgAAb7zxBmbMmIFZs2Yx2yiKQm1tLY4ePYqUlBRcuXIFQUFBjHhQxx1bR0cHUzDZ3NzM+Fuockpea2srsrKyRk0bYU9fiPDwcKXSLgN1XOjSGOSmpiZkZWXBy8sLnp6e2l6O2qGNszo6OhAUFITm5mam7kFfX58ReAPVPWRkZCAhIQGbNm3CqlWrNHYRjo6ORmRkJHbt2sWci5ubG1auXIn169c/sP++ffuwevVqNDU1aWR9IxU6wvDv7xpUEmHY8oINiTDIwbAWDINBURTq6upw/PhxJCcn4+LFixg/fjwjHvz9/VX+BSOPv8VQaWhoQHZ2Ntzd3TF27NgRf2eiTl8ITXtcDJXGxkZkZWWNqNbYgegpFsLDw3uJtqHWPWRnZyM+Ph7r16/HG2+8obHPhUgkAofDwZEjR5CUlMRsX7x4MZqamnD8+PEHjtm3bx+WLl0KV1dXpgPkww8/JG6ZckIEg3YZ0YKhJ/Rd5q+//ork5GScP38enp6eSExMRFJSklr622l/Cz6fj/r6+l7+FkP1s6itrUV+fj78/Pzg6uqq0vXpIhKJBDk5ORrzhVCnx8VQqa+vR3Z2Nnx9fUe8gyrwtyBsa2tDeHj4gH/j++se0tLScOzYMYSFheHw4cNYu3YtNm7cqFERXV1dDVdXV1y/fh0xMTHM9jfffBNXrlzBjRs3HjgmLS0NJSUlTCRl+/bt+P3335Gfnz8q/uaqghYMG79VjWB4/0UiGORhZCfBe8BisWBtbY3Fixdj8eLFEAqFOHnyJJKTkzFjxgw4OzsjISEB8+fPR2hoqErEg6GhIVxdXeHq6sq0mvH5fNy5cwcmJibMhamvfC1FUaioqEBZWRmCg4NhZ2en9Hp0nZ6+EJqq0eBwOPD09ISnp2evjovbt29rpOOCbhX19/eHs7Ozyp9f15BHLAAP1j04OzujsrIS33//PWQyGVJSUiCVSpGYmIiQkBCdjb7FxMT0EheTJ0+Gv78/9u7diy1btmhxZcMTGUVBpuS9rrLHj0ZGjWC4HwsLCzz99NN4+umn0drait9++w3JycmIj4+HjY0N5s2bh/nz5yMyMlIlBXL3j0CmzbHS09Mf8LcAgOLiYvB4PERERIwK9UtPMzQ1NcXEiRO1UpTY0+OiZ8dFT48LepaAKi5MfD4fubm5D7SKjlQoikJ+fj5aW1sRERGhUPRILBbj5MmTWLNmDd58802cPXsWx48fx4kTJ5Cenq6GVT8IPY+Fx+P12s7j8fqdLHs/BgYGCA0Nxe3bt9WxRAJBLYyalMRQ6ejowNmzZ5GcnIyTJ0/C1NQU8+bNQ1JSEmJiYlR+10tX8/N4PAgEAujp6YHNZkMmkyEiImJEDSLqD133haD/RnT0AVC+46KmpgYFBQUIDAzst6p+JEGLBaFQiPDwcIVqRe7cuYNZs2bh0UcfxY4dO3q9TyiK0mh0ITo6GlFRUfjiiy8AdEdO3N3dsWLFij6LHu9HKpUiICAAc+bMwWeffabu5Y4Y6JTEhq/qVZKS+OglW5KSkAMiGAags7MTqampSElJwfHjx6Gnp8dEHqZOnary6nr6Lpu29h7O/hZDRSgUMqZZw2HmQF8dF/Q8jqF2XFRVVaG4uBhBQUGjItVEURQKCgrQ1NSEiIgIhcRCZWUl4uLiMGfOHOzevVvrn4WDBw9i8eLF2Lt3L6KiovD555/j0KFDKCoqgqOjIxYtWgRXV1d89NFHAID33nsPkyZNwrhx49DU1IRt27bh2LFjyMjIwIQJE7R6LsMJWjCs/6oOxiZKCoYOIT5+yY4IBjkYeVcgFWJsbIz4+Hh8++23qKmpwU8//QR9fX28+OKL8Pb2xquvvoqzZ8+iq6tL6deiPQNMTU0xdepUTJs2jXElzM/Px5UrV5CXl8dUjY8EGhsbkZGRAQ8Pj2FjIkXXwowfPx5Tp05FZGQkzMzMUF5ejitXriAzMxP37t3r9z1x9+5dFBcXIyQkZNSJBUUjC9XV1YiPj8c///lPnRALAPDkk09i+/bteOeddxASEgIul4szZ84wqaXKykrU1NQw+zc2NmLZsmXw9/fHnDlzIBQKcf36dSIWhgkfffQRIiMjYW5uDgcHByQlJfWaqQF03/C99tprsLW1hZmZGRYsWPBA2qqyshLx8fHgcDhwcHDAG2+8AYlEoslTUQoSYVAAiUSCa9eu4ciRIzh27BhaW1sRHx+PxMREzJgxQ+42QPou29HREePHj++zAJL2t+Dz+RCJRDrpbyEPfD4feXl5GD9+/Ijp/his44IuYg0NDYWVlZW2l6t2aB+YhoYGREREwNjYWO7nqK2txezZsxEdHY3vv/9+WL7XCaqDjjC8tacORkpGGLo6hNj6ytAiDLNmzcJTTz2FyMhISCQSvP3228jLy0NBQQEzI2b58uU4deoU9u3bB0tLS6xYsQJsNht//PEHgO40VEhICJycnLBt2zbU1NRg0aJFWLZsGT788EOlzkVTEMGgJFKpFH/++ScjHurr6xEXF4ekpCQ88sgjgw4cqqurQ05ODsaOHTukiZQ9/S34fD46Ojp0wt9CHvrzhRhJ3O9xYWBgALFYjAkTJsDZ2XlYRFOUgR68VV9fr7BY4PP5mDNnDoKDg7F///4RP9mUMDi0YHjzvwKVCIZPltsrlJIQCARwcHDAlStX8PDDD6O5uRn29vb4+eefGYfUoqIi+Pv7Iy0tDZMmTcJvv/2GuXPnorq6mvne27NnD9566y0IBAKN2Qsog/Zje8McPT09TJkyBTt27EBpaSkuXLgALy8vbN68GZ6ennj66adx6NAhtLS0PHBsVVUVsrOzMWHCBHh6eg7pIsJisWBhYYFx48Zh8uTJiI6Ohrm5ORMSz8rKQlVVFUQikTpOV2kqKipQVFSE0NDQESsWgL87LkJDQ+Hu7g6pVAobGxsUFRXh2rVrKC4uRkNDA0aiXqcoCsXFxairq0N4eLhCYqG+vh4JCQnw9/fHjz/+SMQCoRcySjUPRWlubgYA2NjYAOieOCoWizFz5kxmHz8/P7i7uyMtLQ1A9yyOwMDAXt97cXFxEAqFyM/PV3wxGoR8ClUIm81GVFQUoqKi8PHHHyM7OxvJycn45JNPsHz5csyYMQOJiYmYPXs2PvjgA7S3t+ODDz5g3nSKQPtbjB07lgmJa9LfYqjI6wsxEqAoCiUlJaipqUFUVBTMzMwgk8lQX18PgUCAnJwcAMPD42KoUBSFW7duQSAQICIiQqEpnY2NjUhMTISnpycOHDgwLKJmhOGLUCjs9X8jI6MBvy9lMhlWr16NKVOmYOLEiQC6U2eGhoYPpBodHR1RW1vL7HP/TRL9f3ofXYcIBjXBZrMRGhqK0NBQbNmyBQUFBThy5Ai++OILvPzyyzAwMMDq1ashk8lU1hLWcwhRR0cHBAIBamtrUVxcDEtLS0Y8qHLU8lCgc9n19fWIjIwcFXbc9F02feGkz5nNZsPe3h729vbw9/dnOi6KiooU6rjQJWixwOfzFRYLQqEQ8+fPh6OjIw4dOjQswrQEzUPJKFBKmkfRx7u5ufXavmnTJmzevLnf41577TXk5eXh2rVrSr3+cIQIBg3AYrEQEBDAhKdEIhESExORmpqKzz77DA899BASExORkJAABwcHlYgHExMTuLu7w93dvZe/RUlJCVPp6+joqPY5Dz19IRS9iAw37i/26++c6Y4La2tr+Pr6Mh4X5eXlyM/P1wmPi6FCR1PoYWOK/J1bW1vx6KOPwsLCAikpKQqlMgijA4rqfij7HEB351LPGoaBPmsrVqzAyZMn8fvvv/ca6e3k5ASRSISmpqZeUYaew7ycnJxw8+bNXs9Hd1EMdeCXtiGCQYMsX74cEokEN27cgKWlJSiKwp07d5CcnIxffvkFr7/+OmJiYpCQkIDExES4uLioRDwYGRnBzc0Nbm5uvfwtSktLYWpqyogHU1NTlRbjSSQSZGdnQyKRIDIyclTcLcpkMhQUFKC5uVmuYj8WiwVzc3OYm5sz9ukCgQA1NTUoKirSisfFUKEoCrdv30ZtbS3Cw8MVWl9bWxsee+wxGBgY4NixY6NCWBJ0AwsLi0GLHimKwsqVK3H06FFcvnwZXl5evX5OG6ilpqZiwYIFALqn9VZWVjIjwWNiYvDBBx+Az+czw9rOnz8PCwuLYdNeS7okNAiPx4O1tXWfF06KonD37l2kpKTg6NGjuH79OsLDwxlzLHd3d5VX1vf0t6irq4OxsTFjjqWsd4JIJAKXy4Wenh6Cg4NHRdEa7cBI+ySoKipwf8eFJjwuhgpdm1JVVdUr9SIPHR0deOKJJ9DZ2YkzZ87A3NxcDSsljAToLonV/+GppEvi81WOQ+qSePXVV/Hzzz/j+PHjGD9+PLPd0tKSEbfLly/H6dOnsW/fPlhYWGDlypUAgOvXrwP4u63SxcUFn3zyCWpra/Hcc89h6dKlpK2SoDgURaGmpgZHjx5FSkoKfv/9dwQFBSEpKQmJiYnw9vZW+UWip79FXV3dA/4W8ryeLvhCaBqpVIqcnBx0dXWp1WWzp8dFXV1dL48LKysrjQ81ogtZFRULXV1dWLhwIRoaGnDu3LlRMZ+CoDi0YFj1ea1KBMN/VjsNSTD09/33/fff4/nnnwfQ/b23bt06HDhwAF1dXYiLi8OXX37ZK91QUVGB5cuX4/LlyzA1NcXixYvx8ccfD5sbKiIYdByKolBXV8eIh4sXL8LPz48RD35+fmoRD/f7W9DiYTDjpZ6+EBMmTBjx8waA7t9XdnY2xGIxwsLCNFas2LPjQlUeF/JQVlaGu3fvIjw8fMh27T0RiUR47rnnUFVVhQsXLijVLUQYHWhLMBC6IYJhGEFRFBobG/Hrr78iOTkZ58+fx9ixY5m0RUBAgMrvMGUyGRobGxnxQFEUIx5sbGx6vZ5QKERmZiZcXV2HhS+EKpBIJOByuaAoCqGhoVq7U+jpcSEQCCASidTacXHnzh1UVFQgIiJCIbEgFouxZMkS3L59GxcvXhwVY7IJykMLhn99phrBsHMtEQzyQATDMKa5uRknT55EcnIyzp49CxcXFyQkJGD+/PkICQlRuXigBQvdcSGVSpk7WjabjdzcXHh5ecHT01Olr6uriMViZGVlQU9PDyEhITqTeqEoium44PP5aGtrg42NDfO3Ura2ghYL4eHhCtUbSCQSLFu2DLm5ubh06dKIHuBFUC20YFjxaY1KBMOudc5EMMgBEQwjhNbWVpw+fRrJycn47bffYGtryzhrRkZGqkU80P4WNTU1EIlEsLCwgKenJ2xtbYdNTk5RxGIxMjMzYWhoiKCgIJ0RC31Bd1zw+fxeHhf29vZy1x2Ul5ejvLxcYbEglUrx6quv4saNG7hy5QqcnZ3lfg7C6IUIBu2iU6OhP/jgA0yePBkcDmfIxU8UReGdd96Bs7MzTExMMHPmTJSUlKh3oTqImZkZnnjiCRw8eBC1tbX47LPP0NjYiEcffRR+fn54/fXXce3aNZU5XbJYLFhZWcHMzAxisRg+Pj6wtbVFaWkprly5Ai6Xi5qaGojFYpW8ni4hEomQnp4OIyMjBAcH67RYALoHenl4eCAyMhIPPfQQXFxc0NDQgLS0NFy/fh23b9+GUCgcdEx1RUUF7ty5g7CwMIXEgkwmw6pVq5CWlobU1FQiFggKQ1GUSh4E+dApwSASifD4449j+fLlQz7mk08+wc6dO7Fnzx7cuHEDpqamiIuLQ2dnpxpXqttwOBzMnz8f+/fvR01NDfbs2YPOzk4sXLgQPj4+WLVqFS5fvqz0xbyiogLFxcUICwuDp6dnL38LCwuLXpbPuuxvIQ+dnZ1IT0+HqakpgoKCdMJqWR5oj4uwsDDExsYyI8XT09N7eVzIZLJex1VWVqKsrAzh4eEK3Y3JZDK8/vrruHjxIi5cuPDAdD11sXv3bnh6esLY2BjR0dEPDM65n8OHD8PPzw/GxsYIDAzE6dOnNbJOgnzIZJRKHgT50MmUxL59+7B69Wo0NTUNuB9FUXBxccG6devw+uuvA+jO6zs6OmLfvn146qmnNLDa4YNYLMalS5eQnJyMY8eOQSqVYu7cuUhKSkJsbOyQWwF7+kKEhoYO6AtB+1vweDy0tLTolL+FvHR0dCAjIwNWVlYICAgYUUWdA3VctLe3o6ysDGFhYQp5gMhkMmzYsAHHjh3DpUuXMG7cOFUvv08OHjyIRYsWYc+ePYiOjsbnn3+Ow4cPo7i4mBmc05Pr16/j4YcfxkcffYS5c+fi559/xtatW5GZmcl4BihLW1vbqBiNri7olMQrW6tUkpLY85YrSUnIwbAWDGVlZfD29kZWVhZCQkKY7dOmTUNISAj+85//qHehwxiJRIJr167h8OHDOHbsGNrb2xEfH4+EhATMnDmz3wmFPX0hwsLC5Pry6+zsZMRDc3OzVv0t5KW9vR0ZGRmwtbWFv7//iBIL99Oz44JOK1lbW8PV1VXujguZTIZNmzbhwIEDuHTpUq+hN+omOjoakZGR2LVrF7MWNzc3rFy5EuvXr39g/yeffBJtbW04efIks23SpEkICQnBnj17lF7Pr7/+ipMnT+KNN96Aj4+P0s83GiGCQbsM68o02uGrLwew4eL+pS309fURGxuL2NhY7Ny5E2lpaThy5AjefPNNNDY2Ii4uDklJSXjkkUeYUb8dHR1IT0+Hnp4eIiMj5Z71b2xsPKi/hYODg87dgbW1tSEjIwOOjo7w9fUd0WIB+Nvjoq2tDVKpFAEBAejo6OjlcTGUjguKovDhhx/ip59+wsWLFzUqFkQiETIyMrBhwwZmG5vNxsyZMxm74ftJS0vD2rVre22Li4vDsWPHlF7Pb7/9hqSkJACAQCDA9u3b4e3trfTzjlYoSgXmU7p3r6zzqD0Bu379erBYrAEfRUVF6l4GYQD09PQwdepUfP755ygrK8O5c+fg4eGBd955B56ennjmmWewb98+PPLII9i1a5dcHgn9QftbhIeH4+GHH8aYMWPQ1NSEtLQ0pKWlobS0FK2trVr/ULe2tiI9PR3Ozs6jQizQVFVV4datWwgLC4OLiwu8vb0RExODyZMnw9bWFrW1tbh69Spu3ryJ8vJytLW19Tqeoihs27YNX331Fc6fP4+AgACNrr+urg5SqVSum4n+7IeVvfmgKApcLhepqam4e/cuLl++jJUrV47K4mxVQVEUZEo+tP3dMhxRe4Rh3bp1zOjM/hg7dqxCz02P3OTxeL0qrnk8Xq8UBWHosNlsREdHIzo6Glu3bgWXy8X+/fuxbt06dHV1wc7ODkeOHMGcOXPkHhndH4aGhnB1dYWrqyskEgmTRy8vL4exsTFjjqVp3wR6EJW7uzu8vLxGjViorq5GcXExQkNDYW1t3etndMeFh4cH43EhEAhw+/ZtmJiY4OTJk5gzZw7S09Oxc+dOnD9/HkFBQVo6E92AxWLhrbfeYgpkb968iZiYGKxYsQI7d+7UaOSFQFAGtQsGe3t72Nvbq+W5vby84OTkhNTUVEYgCIVC3LhxQ65OC0LfsNlsODg44OzZs5gzZw7+7//+D7/++it27tyJ1157DdOnT0dSUhLi4+NhY2Ojkguqvr4+nJ2d4ezszPhb8Pl8pKenM74Jjo6OKhMr/dHc3IzMzMxRNYgK6BYLRUVFCAkJeUAs3A/dcTFmzBhIJBKUl5ejsLAQ//3vfyGRSPD444+jpaUFEolE43M57OzsoKenx9gH0/S0G74fJycnufYfKhRFMWKBbkFOT09HdHQ0li9fjl27dg0bt0JdgZKpICVBuiTkRqd6wiorK8HlclFZWQmpVAoulwsul4vW1lZmHz8/Pxw9ehRAt3JfvXo13n//ffz666/Izc3FokWL4OLiwuQLCcrxzTffYMqUKTh06BDCwsKwefNmZGdnIycnBw8//DC+/vprjB07FgkJCfjmm2/A4/FUFurT09ODo6MjAgMDMW3aNPj5+UEikSArKwtXr15FUVFRny2AytLY2IjMzEx4e3uPKrFAW2kHBwfL7eugr68Pb29vzJ07F8bGxti6dSssLS3x5JNPwsnJCX/99ZeaVt03hoaGCA8PR2pqKrNNJpMhNTWVsRu+n5iYmF77A932w/3tPxSkUilYLBbzmTAwMIBEIoGnpycyMzNRXFyMl19+GXl5eQq/xmiEFgzKPgjyoVNdEs8//zx++OGHB7ZfunQJsbGxALpFQk+HMIqisGnTJnz11VdoamrC1KlT8eWXX8LX11eDKx+5yGQyptakLyiKQllZGZKTk5GSkoKMjAzExMQgMTERCQkJcHFxUXkkQB5/C3mpr69HdnY2fH19MWbMGBWuWrepra1FQUEBgoODYWtrK/fxFEXhxx9/xJtvvokTJ04wn1epVIq0tDSEhIQo5DmhDAcPHsTixYuxd+9eREVF4fPPP8ehQ4dQVFQER0dHLFq0CK6urvjoo48AdLdVTps2DR9//DHi4+Pxyy+/4MMPP1S4rZKOrLS1teHbb7/FP/7xD+Z56J/x+XxERERgzJgx2LNnz6hP3wwG3SWxdEsFDI2V62wQdQrxzb89SJeEHOiUYCAMbyiKwt27d5GcnIyjR48iLS0NERERSExMRGJiItzd3VUuHugWQB6P94C/ha2trVxTGAUCAXJzc+Hn5wcXFxeVrlOX4fF4yM/PR1BQkEImUBRF4cCBA1i9ejWOHTuGmTNnqmGVirFr1y5s27YNtbW1CAkJwc6dOxEdHQ0AiI2NhaenJ/bt28fsf/jwYWzcuBHl5eXw8fHBJ598gjlz5sj9ujKZDGw2G21tbQgPD0dgYCCee+45zJs3j/kM0KKhsbER4eHhsLOzw9dff42goKBRUy8jL7RgeOE91QiG794hgkEeiGAgqAWKolBdXc3Ycl+9ehXBwcGMLffYsWPVIh6EQiEjHkQiEezs7BjHxoHy6Hw+H7m5uQgICFA6Zz2c4PF4yMvLQ1BQkMK1RkeOHMGrr76KQ4cOKXRxHanIZDI88sgjMDU1xYEDB5j25J7QokEoFGLatGmQyWT45ptvEBkZqYUV6z60YFiyuVwlguH7zZ5EMMiBTtUwEEYOLBYLrq6uWLFiBVJTU1FVVYWXXnoJV69eRXh4OCZPnoytW7eiqKhIZTUPLBYLlpaW8PX1xZQpUxAZGQkOh4OysrIB/S1qamqQm5uLwMDAUSUW+Hy+0mLh+PHjWL58OX7++WciFu6jpKQEAoEA69evZ8TC/e91fX19dHV1wcLCAqtWrUJubi4kEok2lksgDMqwHtxEGB6wWCw4ODjgpZdewrJly9DY2Ijjx48jOTkZW7duhbe3N2PLPWHCBJX4M7BYLJibm8Pc3Bzjxo1j7J4rKiqY4UOOjo6QSqW4ffs2goODFQrHD1fo9EtgYKDCYuHUqVNYunQpfvzxRyQkJKh4hcMPiqJ6Rc3EYjGqq6vR1dX1wM9LSkogFAoRHh4OIyMj3LlzB/v27cO3336rVJHlaEEV5lEkuC4/RDAQNAqLxYKNjQ2WLFmCJUuWoLm5GSdOnEBycjJiY2MxZswYJCYmIikpCcHBwSozdzIzM4OZmRljtsTn81FWVobOzk6Ym5ujo6MDXV1dw87fQhEEAgFycnIQGBjYp6fCUDh//jyWLFmCb775BgsWLFDxCocffbWOurq6wsjICMePH0dsbGwvMXHz5k388ccf8Pb2hpWVFby8vPDtt9+S6Y9DRCaD0uZRKm6uGhWQlIQSNDQ04JlnnoGFhQWsrKzw4osv9moB7Qv6i6Pn45VXXtHQinUPS0tLPPvsszh69Ch4PB62bNmCiooKzJo1C4GBgdiwYQNu3ryp0tZJDocDFosFiUSCoKAguLi4MJML//rrL1RUVKCjo0Nlr6dL1NXVIScnBxMnTlRYLFy+fBnPPPMMvvzyS2Lwhu5aBVosrF27FgkJCXjttddw48YN/PDDD9i7dy/efvttNDQ0oL6+HqmpqVixYgWCgoJgZWXF3OkSsTB0iL21diBFj0owe/Zs1NTUYO/evRCLxViyZAkiIyPx888/93tMbGwsfH198d577zHbOBwOKbq5j/b2dpw5cwYpKSk4efIkzM3NkZCQgKSkJEyaNEmu7of7uXPnDsrLyx9wX6QnF/J4PDQ2Nuq0v4Ui0GJhwoQJCtdqXL16FY899hh27NiBF198cdRX89PdEADwyCOPoLa2FpGRkaivr8fFixexZMkSzJkzB48++ijGjBkDiqLQ1dWF559/Hu+++66WVz/8oIsen9tYBkNjc6WeS9TZgv3vjyVFj3JAUhIKUlhYiDNnzuCvv/5CREQEAOCLL77AnDlzsH379gHb8jgczqgqrlMEDoeDRx99FI8++ig6Oztx/vx5pKSk4Mknn4SRkRHmzZuHpKQkTJkyZcjuifTMiLt37yIiIgLm5r2/cHpOLhSLxYx4KC0thampKTNl0tTUdNhdKOvr65GTkwN/f3+F33t//vknHn/8cXz88cdELKD3BMcTJ06Aw+Hg7NmzcHZ2hlAoxPHjx/HKK69g7NixqKysxG+//cY4Zk6fPh1Ab8FBGDpk0qN2IBEGBfnuu++wbt06NDY2MtskEgmMjY1x+PBhzJ8/v8/jYmNjkZ+fD4qi4OTkhHnz5uHf//53ny1XhAcRiUS4dOkSkpOTcezYMVAUhfj4eMyfPx/Tpk2DoaFhn8dRFIWSkhLU1NQgPDxcriFCPf0t6urqtOpvoQgNDQ3gcrnw9/fv5bkiD+np6UhISMDmzZuxatUqnT9ndSGVSiGTyXqJ1M2bN+P06dPgcDi4fPkys729vR27du3CgQMHcO7cuQeKS4lYkB86wvDM+tsqiTD87+NxJMIgB+TdqiC1tbUP5ID19fVhY2MzoLvd008/jZ9++gmXLl3Chg0bsH//fjz77LPqXu6IwdDQEHFxcfjqq69QXV2NQ4cOgcPhYPny5fDy8sJLL72EU6dOobOzkzlGJpMhPT0dtbW1iIiIkHviIO1vERwcjNjYWIwbNw6dnZ1IT0/HtWvXUFxcjKamJp3MidJiwc/PT2GxwOVykZiYiLfffntUiwWJRAJfX19cuHCh1996zJgxaGlpAZfLxdWrV5ntHA4HoaGhKC0t7fM7gYgFwnCDpCTuY/369di6deuA+xQWFir8/C+99BLz78DAQDg7O2PGjBkoLS0lRU9yoq+vj+nTp2P69On44osvcP36dRw5cgSvv/46mpqaMGvWLMybNw+HDh0Cn8/HqVOnYGJiotRr0v4Wjo6OkMlkqK+vB5/PB5fLZcy6HBwcYGVlpfULQmNjI7hcLsaPH6/w5Mq8vDwkJCRg3bp1eOONN0atWACAOXPmoL29HbNmzQKLxYJUKoWenh6WLl0KJycnvP322/jPf/4DAHjooYcAAFZWVrCxsWFaKwmqQYZui2pln4MgH0Qw3MdQ7bidnJzA5/N7bZdIJGhoaJArR0yPqb19+zYRDEqgp6eHhx56CA899BB27NiBmzdv4tChQ1i+fDna2towc+ZMnDp1CnFxcQ/ULigKm81m3Fhpfwt6YqQq/S0UoampCVlZWfD19YWrq6tCz1FYWIi5c+di+fLl+L//+79RLRaEQiHYbDZ8fX3x3XffYdGiRYyRlL6+PubOnQuxWIwPP/wQK1euRGJiIqytrbF37148/PDDTJ0TQTWQGgbtQGoYFKSwsBATJkxAeno6wsPDAQDnzp3DrFmzcO/evSHf0f3xxx+YOnUqsrOzifGMChGLxXjmmWdQUFCATz/9FFeuXEFKSgoqKiowc+ZMJCUlYc6cObCwsFCbvwWfzwefz4dEIlHY30IRaLHg4+OjsIHWrVu3MHv2bCxatAgfffSR1qMl2oQeuFRXV4d//etfKC8vx7PPPotly5b1Eg0AcPr0aaxfvx63bt3CE088gX/+85947rnnAJCaBVVA1zA89eYtGBopWcPQ1YJfPvElNQxyQASDEsyePRs8Hg979uxh2iojIiKYtsqqqirMmDEDP/74I6KiolBaWsqM0LW1tUVOTg7WrFmDMWPG4MqVK1o+m5HFTz/9hE8//RTnz59nJjhSFIW8vDwcOXIEKSkpuHXrFv7xj38gMTER8fHxsLGxUZu/BZ/PB4/Hk8vfQhGam5uRmZmJcePGwc3NTaHnKCsrw6xZs/DYY4/hs88+Ixc5/H2xb2xsxMqVK1FaWoqnn34aL7/8MgwNDXuJhosXL+Ltt99GQEAAXnjhBUyZMkXLqx850ILhyTeKVSIYDm4bTwSDHBDBoAQNDQ1YsWIFTpw4ATabjQULFmDnzp1MUV15eTm8vLwYe+67d+/i2WefRV5eHtra2uDm5ob58+dj48aN5A2rYiiKQnt7e7/zEyiKQnFxMZKTk5GcnIy8vDw89NBDSEpKwrx582Bvb68W8dDa2sqYY3V0dMDW1hYODg6wt7cfcntof9BiwdvbG+7u7go9Bz00Kz4+Hrt27SJioQe0aGhpacGKFStQXFyMp556Cq+88gqMjY17iYYzZ87gvffeg4uLC1544QXis6EiaMHwxLoiGCgpGMRdLTj0qR8RDHJABANh1ENRFEpLS5GcnIyUlBRkZmYiJiYGSUlJSEhIgLOzs1ry921tbYx4aG1thY2NDVP30F97aH8IhUJkZGRg7Nix8PDwUGg9VVVViIuLw4wZM7B3714iFvqAFg3t7e1YuXIl8vLy8MQTT2D58uXgcDi9RMOlS5fwyiuvICEhAdu2bdPyykcGRDBoFyIYCIQeUBSFyspKJCcn4+jRo/jzzz8RGRmJxMREJCYmws3NTS3igfa34PP5EAqFsLKygqOjI+zt7WFsbDzgsbRY8PLygqenp0KvX1tbi1mzZiEmJgbfffed2ussdJ2eRlEikaiXgKO7Izo7O7Fq1SpkZWXhsccew7Jly2Btbd1LNGRmZiIgIGBUeJRoAlowPL6mUCWC4fAOfyIY5IDcQhAIPWCxWPDw8MDatWvx+++/o7y8HAsXLsSZM2cQGBiI2NhY7NixA2VlZSqdu8DhcODp6YmoqChMnToVDg4O4PF4uHbtGm7evNmvv0VLSwsyMzOVEgt8Ph9z585FREQEvv32W62KBV3xZ6HFws8//4x33nmnl/eAnp4epFIpjI2NsWvXLkRERODw4cP43//+h5qaGnz66afMmsPCwmBkZASpVKrUegi9IV4S2oFEGAiEIUBRFPh8Po4dO4bk5GRcvnwZEyZMYJw1fX191RJ5oP0t+Hw+GhoaYGZmBkdHRzg4OEAmkyEjIwMeHh7w8vJS6Pnr6+sRHx8PX19fHDhwQOk6CmXRNX+Wl156Cenp6cjMzATQO/JARxpkMhnWrFmDq1evorCwENOmTcPJkydVXtBK+DvCsOBfeSqJMCTvnEgiDHJABAOBICcURaGhoQHHjx9HcnIyLly4AB8fHyQkJGD+/Pnw9/dXS/6/p79FfX09KIqCtbU1xo8fDzMzM7kFS2NjI+bNmwc3NzccPnxY7roJVUO3Kvf0Zzlz5gzmzJkzYKtybGwsQkJC8Pnnn6tsLXStQn19PYKDg7FmzRqsW7fugf1o0QAAK1euBEVR+Pjjj+WeJkoYGkQwaBeSkhgF7N69G56enjA2NkZ0dDRu3rw54P6HDx+Gn58fjI2NERgYiNOnT2topcMDFosFW1tbvPDCCzh58iR4PB7eeustFBQUYNq0aQgLC8OmTZvA5XJVasttYGAAFxcX+Pj4QF9fHw4ODjAwMMDNmzdx/fp1lJSUoLm5eUih1ubmZiQlJcHR0RGHDh3SulgAgLS0NFhZWfUacjRz5kyw2WzcuHFjwGP/97//wc7ODhMnTsSGDRvQ3t6u1FpowWdubo7HH38caWlpEIvFD+xHpyeAbvO5Tz/9lIgFDSCTUSp5EOSDCIYRzsGDB7F27Vps2rQJmZmZCA4ORlxc3ANTKmmuX7+OhQsX4sUXX0RWVhaSkpKQlJSEvLw8Da98eMBisWBlZYXnnnsOx44dA4/Hw3vvvYfy8nLExcUhMDAQb7/9Nv766y+ViIe2tjZkZGRgzJgxCA4OZvwtfHx80NnZiczMzEH9LVpaWrBgwQJYWloiJSVFZwrydMGf5eDBg1izZg3KysqYYsfHHnsMJ06cwIkTJ/o8Rk9Pj/k968rvcqRDahi0A0lJjHCio6MRGRmJXbt2AQBjr7ty5UqsX7/+gf2ffPJJtLW14eTJk8y2SZMmISQkBHv27NHYukcCbW1tOHPmDFJSUnDq1ClYWFggISEBSUlJiI6Olru4sK2tDenp6XBxccG4ceP6TEH09LcQCARgsVhwcHCARCLB+PHjIRaLsWDBArBYLJw+fbrfORWqZKj+LCkpKfjhhx9QXFzc62cODg549913sXz58iG93sWLFzFjxgy5x613dnZi79692Lp1K9zd3eHg4IBNmzYhKCgIH330EbKysvD1118zg8AImodOSSS9lqOSlMSx3UEkJSEHpCpnBCMSiZCRkYENGzYw29hsNmbOnIm0tLQ+j0lLS8PatWt7bYuLi8OxY8fUudQRiampKRYsWIAFCxago6MD58+fR0pKCp544gkYGxtj3rx5SEpKwpQpUwYtkGtvb0dGRsaAYgHo39/ilVdeQWlpKUxMTGBra4urV69qRCwAw8efxdjYGKtWrcJrr72Gw4cP4+jRo5g7dy6mTJmCpqYmNDU1oba2FnZ2dmTMs5YhXhLagQiGEUxdXR2kUikcHR17bXd0dERRUVGfx9TW1va5/0AhYcLgmJiYICEhAQkJCRCJRLh06RKOHDmCRYsWgcViIT4+HvPnz8fDDz/8QD1Be3s70tPT4eTkNKBYuB82mw1bW1vY2tri7NmzjM9JS0sLxo4di3nz5uHFF1/E9OnT1XHKDLSAGYyYmBg0NTUhIyOD8We5ePEiZDIZIwKGApfLBQCF7LxlMhn09fWxcOFCLFy4EL/99huys7Oxd+9eVFRU4O2330ZKSgrpgNAyRDBoByKRCQQNY2hoiLi4OHz99deoqanBL7/8AmNjY7z88ssYO3YsXn75Zfz222/o7OxEcXExnn/+edjY2MDHx0eh1k2RSIQXXngBLBYLRUVFqKysxPnz5+Hq6tqvcNQG/v7+mDVrFpYtW4abN2/ijz/+wIoVK/DUU08xHRJVVVXw8/NjCndLS0uxZcsWZGRkoLy8HL/++isWLVqEhx9+WCEzNzpqQGdqZ8+ejfXr1yM9PR1btmwBn89HaWmpis6YQBheEMEwgrGzs4Oenh54PF6v7Twer98Qr5OTk1z7E5RDX18f//jHP/Df//4X9+7dw7Fjx2BtbY01a9bAw8MDkydPRnNzMzw9PRUSC2KxGM8//zzu3r2Ls2fPMgZbUVFR2Lp165DrAjTF//73P/j5+WHGjBmYM2cOpk6diq+++or5uVgsRnFxMdMFYWhoiAsXLuCRRx6Bn58f1q1bhwULFvRboDhUev6upVIpbG1tsXr1atTW1uKXX35R6rkJyiODDDJKyQdU18E0WiBxtRGMoaEhwsPDkZqaiqSkJADdIdfU1FSsWLGiz2NiYmKQmpqK1atXM9vOnz+PmJgYDax4dKOnp4eHH34YDz/8MNauXYspU6bAzs4OVVVVGDt2LOLi4pCUlIS4uLghte5JJBIsW7YMJSUluHTp0rAo1rOxsRlwSJOnp2ev6nY3Nze1O73q6elBIpHA1NQU06dPR3Nzc6/5CwTNQ8mUTylQRC/IDYkwjHDWrl2Lr7/+Gj/88AMKCwuxfPlytLW1YcmSJQCARYsW9SqKXLVqFc6cOYNPP/0URUVF2Lx5M9LT0/sVGATVU1NTgxkzZmDevHnIysrC7du3cfnyZfj6+uL999+Hp6cnnnrqKRw4cKDfuQtSqRSvvvoqsrOzceHChQfaFQnyoa+vjxs3buCHH35AYmIiEQuEUQlpqxwF7Nq1C9u2bUNtbS1CQkKwc+dOpogsNjYWnp6e2LdvH7P/4cOHsXHjRpSXl8PHxweffPIJsefVIF1dXfj222/xyiuvPFCJT1EU8vLycPjwYaSkpKCkpAQzZsxAQkIC5s6dC2tra1AUhZUrV+Lq1au4dOkS3NzctHQmI4/s7GwEBweTLgktQbdVznkxAwaGyg3IEotacfrbcNJWKQdEMBAIwxSKolBUVIQjR44gJSUF+fn5eOihhyCRSFBeXo4rV64obEhF6A0RCLoBLRhmv5CuEsHw23cRRDDIAfkEEAjDFBaLBX9/f/z73/9GZmYmCgoKMGXKFGRnZ+PEiRNELKgQIhZ0C5lMppIHQT5IhIFAIBAIwwI6whD3/E2VRBjO7osiEQY5IF0SBAKBQBhWkMFN2oEIBh2E5EsJBAKhfyhKBkrJvkhljx+NkKuSDkLEQjfy2HLv27cPLBar18PY2FiDqyUQCISRDbky6RAURWHNmjUoKSl54GejrUBHXltuALCwsEBNTQ3zqKio0OCKCQSCpqBTEso+CPJBBIMO0dXVhby8PGzfvv2Bn90fdZBKpQCA48ePY8uWLfjrr780skZN8dlnn2HZsmVYsmQJJkyYgD179oDD4eC7777r9xgWiwUnJyfmcb+JFoFAGCGoQiwQwSA3RDDoCDKZDMbGxkhISGBG3d67dw8rV66Eg4PDA4Y39KS5/fv3Y9u2bYiOjsaePXs0vm51QNtyz5w5k9k2mC03ALS2tsLDwwNubm5ITExEfn6+JpZLIBAIowIiGHQEOoIwa9YsGBkZYc2aNXjyySeRlZWF7777Dt7e3sy+dCfs3bt3ce/ePWzcuBESiQTPPvusVtauagay5e7PZnv8+PH47rvvcPz4cfz000+QyWSYPHky7t27p4klEwgEDaK08dT/fxDkg3RJ6Bjjxo1De3s7vvnmG7z88svYsGEDbG1te+0jk8mgp6eH1NRUSKVS+Pr6gs1mw9TUtNc+dPHfaCAmJqaXQdbkyZPh7++PvXv3YsuWLVpcGYFAUDWkrVI7kAiDluk5NysrKwsvvfQSSktLMWbMGGzfvv0BsQD8nY64ePEixowZg9DQUAB/1zVIJBKw2WxGLMhkMuZnwwFFbLnvx8DAAKGhobh9+7Y6lkggEAijDiIYtAx9UT98+DDmz5+P5uZm7NixA1ZWVvjzzz8f2J8WGNXV1SguLkZAQAA8PDwA/C0knnnmGWzfvh25ubloamoCm80eVu56PW25aWhb7qHabEulUuTm5sLZ2VldyyQQCFqComSgZEo+SEpCbohg0AGOHTuGJ598EkuWLMHBgwexatUq8Pl85ObmAugdhaDbKy9evAiZTIawsDAA3VEFFosFHo+HgoIC/Pe//8W7774LLy8vTJ48GVlZWcxz0M9HURQkEkmv/+sK8tpyv/feezh37hzKysqQmZmJZ599FhUVFVi6dKm2ToFAIKgJ0lapHYhg0AGSkpJw7949bNq0ibloL1y4EP/9738BoFcdAl0cmZqaCmdnZyYdQR938eJFVFZWIiIiAhs2bACXy4W5uTk+/fRT5jlYLBa6urrAYrGgr6//QJ3D999/j4SEBOzfv19r8x+efPJJbN++He+88w5CQkLA5XJx5swZphCysrISNTU1zP6NjY1YtmwZ/P39MWfOHAiFQly/fh0TJkzQyvpHGh988AEmT54MDocDKyurIR1DURTeeecdODs7w8TEBDNnzuxzxgiBIC/0pEdlHwT5IIJBB6AoCi4uLgD+FgRz5syBq6trr9ZAiqLAYrEgEAhQWFiIgIAAeHl5AQD09bvrV8+cOYOQkBBs3boV4eHh8PDwwJw5c/DXX3+huroaDQ0N+PHHH7F48WJERUVh48aNTCcBLRzi4uIQFRWFxYsXY/fu3ZBIJBr7XfRkxYoVqKioQFdXF27cuIHo6GjmZ5cvX8a+ffuY/+/YsYPZt7a2FqdOnWLEFEF5RCIRHn/8cSxfvnzIx3zyySfYuXMn9uzZgxs3bsDU1BRxcXHo7OxU40oJBIK6IIJBB+irk2Hy5Mk4ceJErzvknlEEiUSC8PBwAN35+p7piIiICLi5uTHHTZw4EXV1dZDJZFi3bh3eeustWFpa4tlnn8Uff/yBRYsWMSkLqVQKFxcXLFiwAEZGRggPD2fECGH08u6772LNmjUIDAwc0v4UReHzzz/Hxo0bkZiYiKCgIPz444+orq7GsWPH1LtYwohHJgNkMkrJh7bPYvhBrgQ6ikQieSBdQP87NTUVTk5OmDhxIoC/2yyvX7+OkpISPP7440yRo0QiQV5eHoDuQVA//PADzp07hxkzZoDFYuGll17CwYMH4eDgAKBbMOjp6eGzzz5DYGAgfHx8NHnahBHCnTt3UFtb22v4lqWlJaKjo5GWloannnpKi6sjDHfowkVln4MgHyTCoKP0dVfPYrHQ0NCAv/76C2FhYfDz8+u175kzZyASiVBcXMwcU1xcjAMHDuDJJ5/E77//jtDQUMycOZMRH8bGxli8eDFcXV0BdHcoAN0jp+fNmwdra2u1nidhZEIP2JJn+BaBQNBtiGAYZlRVVYHFYuH999/H9u3bmeJFgUCAvLw8LFu2DM3Nzdi4cSMOHTqEBQsWgMViYdOmTTh79iymTp0KAH12RtAFjllZWaivr8f06dNJOmIEs379+gccPu9/FBUVaXuZBMIDkC4J7UCuBsOMwMBApKam4vz582CxWEzq4fLly+jq6sKUKVPg6emJf/3rXzhw4ACmTZuGDRs2wNHREa6urigpKUFHRwdMTEwA9K6fkMlkYLPZ+PbbbxEcHAxfX1+tnCNBM6xbtw7PP//8gPuMHTtWoeemB2zxeLxeszB4PB5CQkIUek4CgUYVXQ6kS0J+SIRhGGJtbY0nnniiV63C4cOHYWVlhYiICERFReHPP//ErVu38OWXXzJ1CIsXL8atW7fw66+/QiqVor29He3t7czz0s+VnJyMuXPnknSEgvz++++YN28eXFxcwGKxhlTkd/nyZYSFhcHIyAjjxo3r1QGiLuzt7eHn5zfgg05RyYuXlxecnJx6Dd8SCoW4cePGkIdvEQgE3YIIhmEOi8WCTCZDbGwsZsyYAS8vL2Ygk56eHoyNjZl9J0+ejMWLF+Oll17CuHHjsGbNGly9ehXA394TeXl54PF4mDFjBgwMDLR1WsOatrY2BAcHY/fu3UPa/86dO4iPj8f06dPB5XKxevVqLF26FGfPnlXzSodOZWUluFwuKisrIZVKweVyweVy0drayuzj5+eHo0ePAuh+X65evRrvv/8+fv31V+Tm5mLRokVwcXFBUlKSls6CMFIgKQntwKJ0abwfQWOcPHkStbW1mDt3LpycnNDZ2QljY2OsXbsWFy5cwLlz54bs20DoHxaLhaNHjw54kXzrrbdw6tQpppsFAJ566ik0NTXhzJkzGljl4Dz//PP44YcfHth+6dIlxMbGAug+1++//55Jc1AUhU2bNuGrr75CU1MTpk6dii+//JKkuggKIxQKu7tt4k5B38B08AMGQCJuw42z8WhuboaFhYWKVjiyITUMIwCKokBRFDP0aaD96BbMuXPn9voZHYk4fPgwnn322T5NrwjqIS0trVf7IdA9PGv16tXaWVAf7Nu3b9A0yf33HiwWC++99x7ee+89Na6MMBqRStp04jlGG0QwjACGamPds0iS7ohgs9ng8XgoKSmBpaUlampq8Mgjj5B0hAapra3ts/1QKBT2KlAlEEY7hoaGcHJyQnrqEyp5PicnJ4XrdEYjRDCMUnpGI+rq6vDuu+8iNTUVAQEB8Pb21uLKCAQCoW+MjY1x584diEQilTyfoaFhrzovwsAQwUBAQEAAzp07h+zsbHR1dT1wt0tQL05OTuDxeL228Xg8WFhYkOgCgXAfxsbG5CKvJYhgIADoTleQ/njtEBMTg9OnT/fadv78edJ+SCAQdArSVkkgqJjW1lam7RDobpukWxIBYMOGDVi0aBGz/yuvvIKysjK8+eabKCoqwpdffolDhw5hzZo12lg+gUAg9AlpqyQQVMzly5cxffr0B7YvXrwY+/btw/PPP4/y8nJcvny51zFr1qxBQUEBxowZg3//+9+DTmEkEAgETUIEA4FAIBAIhEEhKQkCgUAgEAiDQgQDgUAgEAiEQSGCgUAgEAgEwqAQwUAgEAgEAmFQiGAgEAgEAoEwKEQwEAgEAoFAGBQiGAgEAoFAIAwKEQwEAoFAIBAGhQgGAoFAIBAIg0IEA4FAIBAIhEEhgoFAIBAIBMKgEMFAIBAIBAJhUP4fR9GA0aSRMrgAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Plot the particles with units applied\n",
"\n",
"positions = utils.apply_units(particles[:, :3], \"position\")\n",
"masses = utils.apply_units(particles[:, 3], \"mass\")\n",
"utils.particles_plot_3d(positions, masses, title=\"Particle distribution\")\n",
"\n",
"utils.particles_plot_2d(positions)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Force computations"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:09:42 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help for Timing n_body_forces for 9913 particles not found.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:10:17 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1_softening_0.0026239675788012804.npy\n",
"19:10:17 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1_softening_0.0262396757880128.npy\n",
"19:10:17 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1_softening_0.262396757880128.npy\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help for Timing n_body_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n",
"Help for Timing mesh_forces for 9913 particles not found.\n"
]
}
],
"source": [
"### Direct N body force computation\n",
"epsilon = utils.mean_interparticle_distance(particles)\n",
"\n",
"epsilon_range = np.logspace(-2, 2, 5)\n",
"# epsilon_range = np.logspace(-1, 1, 3)\n",
"n_squared_forces = []\n",
"n_squared_times = []\n",
"\n",
"\n",
"for e in epsilon_range:\n",
" forces, times = utils.cached_forces(CACHE_ROOT, particles, utils.n_body_forces, {\"G\": G, \"softening\": e * epsilon})\n",
" n_squared_forces.append(forces)\n",
" n_squared_times.append(times)\n",
"\n",
"\n",
"### Mesh based force computation\n",
"mesh_size_range = [5, 10, 25, 50, 75 , 100, 125, 150, 175, 200]\n",
"# mesh_size_range = [20, 50, 75, 175]\n",
"mapping = utils.particle_mapping_nn\n",
"# mapping = utils.particle_mapping_cic\n",
"\n",
"mesh_forces = []\n",
"mesh_times = []\n",
"for mesh_size in mesh_size_range:\n",
" forces, times = utils.cached_forces(CACHE_ROOT, particles, utils.mesh_forces, {\"G\": G, \"n_grid\": mesh_size, \"mapping\": mapping})\n",
" mesh_forces.append(forces)\n",
" mesh_times.append(times)\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"tags": [
"plot_force_radial"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Compare the mesh computation with the direct summation\n",
"r = np.linalg.norm(particles[:,:3], axis=1)\n",
"r = utils.apply_units(r, \"position\")\n",
"\n",
"# many of the particles have the same distance from the origin, so we skip some of them\n",
"SKIP_N = 5\n",
"\n",
"plt.figure()\n",
"plt.title(f'Radial force dependence (showing every {SKIP_N}th particle)')\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"\n",
"plot_range = epsilon_range[1:-1]\n",
"plot_forces = n_squared_forces[1:-1]\n",
"\n",
"colors = plt.cm.Greys(np.linspace(0.5, 1, len(plot_range)))\n",
"for f, e, c in zip(plot_forces, plot_range, colors):\n",
" # remove the black hole:\n",
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], 'o', label=f\"$N^2 - {e:.1g} \\\\cdot \\\\epsilon$\", color=c)\n",
"\n",
"plot_range = mesh_size_range[2:-3]\n",
"plot_forces = mesh_forces[2:-3]\n",
"\n",
"colors = plt.cm.coolwarm(np.linspace(0, 1, len(plot_range)))\n",
"for f, s, c in zip(plot_forces, plot_range, colors):\n",
" # remove the black hole:\n",
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], '.', label=f\"Mesh - N={s}\", alpha=0.2, color=c)\n",
"\n",
"# take the final f and apply units\n",
"f = utils.apply_units(f, \"force\")\n",
"\n",
"# put the legend outside\n",
"plt.xlabel(f'$r$ [{r.unit:latex}]')\n",
"plt.ylabel(f'$|F(r)|$ [{f.unit:latex}]')\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"tags": [
"plot_force_radial_single"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Zoom in on a particularly clear case\n",
"plt.figure()\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"\n",
"ith = 2\n",
"f = n_squared_forces[ith]\n",
"f_val = np.linalg.norm(f, axis=1)\n",
"\n",
"plt.plot(r[1::SKIP_N], f_val[1::SKIP_N], 'o', label=f'$N^2 + {epsilon_range[ith]:.2g} \\\\cdot \\\\epsilon$', color=\"black\", zorder=10)\n",
"\n",
"ith = 4\n",
"f = mesh_forces[ith]\n",
"f_val = np.linalg.norm(f, axis=1)\n",
"\n",
"plt.plot(r[1::SKIP_N], f_val[1::SKIP_N], '.', label=f'Mesh [n={mesh_size_range[ith]}]', color=plt.cm.Blues(0.5))\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Discussion\n",
"- Using the baseline of $N^2 + 1 \\varepsilon$ softening we can see that already a 20 x 20 x 20 grid provides good accuracy but the mapping breaks down at small distances (dip)\n",
"- Larger grids are more stable, especially at small distances => 50 x 50 x 50 already seems to be a good choice\n",
"- very large grids show overdiscretization => noisy data even for the non-noisy particle distributions\n"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"tags": [
"plot_force_computation_time"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Plot the time dependence\n",
"\n",
"fig, ax1 = plt.subplots()\n",
"fig.suptitle('Computation time (average of 10)')\n",
"\n",
"color = plt.cm.Greys(0.8)\n",
"ax1.set_xscale('log')\n",
"ax1.set_yscale('log')\n",
"ax1.set_ylabel('time (s)')\n",
"ax1.set_xlabel('Softening multiplier', color=color)\n",
"ax1.plot(epsilon_range, n_squared_times, color=color, label='N^2')\n",
"ax1.tick_params(axis='x', labelcolor=color)\n",
"\n",
"ax2 = ax1.twiny() # instantiate a second Axes that shares the same x-axis\n",
"\n",
"color = plt.cm.Blues(0.8)\n",
"ax2.set_xlabel('Mesh size', color=color)\n",
"ax2.set_xscale('log')\n",
"ax2.plot(mesh_size_range, mesh_times, color=color, label='Mesh')\n",
"ax2.tick_params(axis='x', labelcolor=color)\n",
"\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"fig.legend()\n",
"plt.show()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Time integration"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:12:26 - task2 (mesh) - Considering 9913 particles\n",
"19:12:26 - task2 (mesh) - Total mass: 10.999999999999998\n"
]
}
],
"source": [
"# load the particles in the format [x, y, z, vx, vy, vz, mass]\n",
"p0 = points[:, [2, 3, 4, 5, 6, 7, 1]]\n",
"\n",
"logger.info(f\"Considering {p0.shape[0]} particles\")\n",
"logger.info(f\"Total mass: {np.sum(p0[:,6])}\")\n",
"\n",
"if logger.isEnabledFor(logging.DEBUG):\n",
" # assert that the ODE reshaping is consistent\n",
" p0_ref = p0.copy()\n",
" y0, _ = utils.ode_setup(p0, None)\n",
" logger.debug(y0[0:7])\n",
" p0_reconstructed = utils.to_particles(y0)\n",
" logger.debug(f\"{p0_ref[0]} -> {p0_reconstructed[0]}\")\n",
" logger.debug(f\"{p0_ref[1]} -> {p0_reconstructed[1]}\")\n",
"\n",
" assert np.allclose(p0_ref, p0_reconstructed)\n",
" logger.debug(\"Consistency check passed\")\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": [
"kjhfsdf"
]
},
"outputs": [],
"source": [
"def integrate(method: str, force_function: callable, p0: np.ndarray, t_range: np.ndarray) -> np.ndarray:\n",
" \"\"\"\n",
" Integrate the gravitational movement of the particles, using the specified method\n",
" - method: the integration method to use (\"scipy\" or \"rk4\")\n",
" - force_function: the function that computes the forces acting on the particles\n",
" - p0: the initial conditions of the particles (n, 7) array, unflattened\n",
" - t_range: the time range to integrate over\n",
" Returns: the integrated positions and velocities of the particles in a 'flattened' array (time_steps, nx7)\n",
" \"\"\"\n",
" y0, y_prime = utils.ode_setup(p0, force_function)\n",
" \n",
" if method == \"scipy\":\n",
" sol = spi.odeint(y_prime, y0, t_range, rtol=1e-2)\n",
" elif method == \"rk4\":\n",
" sol = np.zeros((t_range.shape[0], y0.shape[0]))\n",
" sol[0] = y0\n",
" dt = t_range[1] - t_range[0]\n",
" for i in range(1, t_range.shape[0]):\n",
" t = t_range[i]\n",
" sol[i,...] = utils.runge_kutta_4(sol[i-1], t, y_prime, dt)\n",
"\n",
"\n",
" logger.info(f\"Integration done, shape: {sol.shape}\")\n",
" return sol\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:12:26 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"19:12:26 - task2 (mesh) - Mean velocity: 0.001109653989710481, timestep: 0.023646718735142812\n"
]
}
],
"source": [
"# Determine the integration timesteps\n",
"# let's first compute the crossing time\n",
"v = np.linalg.norm(particles[:, 3:6], axis=1)\n",
"v_mean = np.mean(v)\n",
"# a timestep should result in a small displacement, wrt. to the mean interparticle distance\n",
"r_inter = utils.mean_interparticle_distance(particles)\n",
"\n",
"dt = r_inter / v_mean * 1e-3\n",
"logger.info(f\"Mean velocity: {v_mean}, timestep: {dt}\")\n",
"\n",
"if np.isnan(dt):\n",
" raise ValueError(\"Invalid timestep\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:12:26 - task2 (mesh) - Integration range: 0.0 -> 0.6857548433191415, n_steps: 30\n",
"19:12:26 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"19:12:26 - task2 (mesh) - Given softening length 0.037 does not match the mean interparticle distance 0.0262396757880128\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:18:26 - task2 (mesh) - Integration done, shape: (30, 69391)\n"
]
}
],
"source": [
"## Integration setup - use the n_squared forces for a few timesteps only, to see if the orbits are stable\n",
"t_orbit = 2 * np.pi * r_inter / v_mean\n",
"n_steps = int(t_orbit / dt * 5)\n",
"n_steps = 30\n",
"t_range = np.arange(0, n_steps*dt, dt)\n",
"assert t_range.shape[0] == n_steps\n",
"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {n_steps}\")\n",
"\n",
"# The force function can be interchanged\n",
"epsilon = utils.mean_interparticle_distance(particles)\n",
"if epsilon != SOFTENING:\n",
" logger.warning(f\"Given softening length {SOFTENING} does not match the mean interparticle distance {epsilon}\")\n",
" epsilon = SOFTENING\n",
"\n",
"force_function = lambda x: utils.n_body_forces(x, G, epsilon)\n",
"# force_function = lambda x: 0\n",
"# force_function = lambda x: utils.n_body_forces_basic(x, G, epsilon)\n",
"# force_function = lambda x: utils.analytical_forces(x)\n",
"# force_function = lambda x: utils.mesh_forces(x, G, 135, utils.particle_to_cells_nn)\n",
"\n",
"sol = integrate(\"rk4\", force_function, p0, t_range)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"tags": [
"plot_system_evolution"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(30,)\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 2000x1200 with 24 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### Show the evolution\n",
"particles_in_time = utils.to_particles_3d(sol)\n",
"\n",
"# First show the evolution of the particles in a series of 2D heatmaps:\n",
"# reduce the font size\n",
"fig, axs = plt.subplots(4, 6, figsize=(20, 12))\n",
"fig.suptitle(\"Particle evolution (top view)\")\n",
"\n",
"print(t_range.shape)\n",
"# make sure we have enough time steps to show\n",
"diff = axs.size - particles_in_time.shape[0]\n",
"if diff > 0:\n",
" logger.debug(f\"Adding dummy time steps: {diff=} -> {axs.size=}\")\n",
" plot_t_range = np.concatenate([t_range, np.zeros(diff)])\n",
" plot_particles_in_time = particles_in_time\n",
"elif diff < 0:\n",
" logger.debug(f\"Too many steps to plot - reducing: {particles_in_time.shape[0]} -> {axs.size}\")\n",
" # skip some of the time steps\n",
" plot_t_range = []\n",
" plot_particles_in_time = []\n",
" for i in range(axs.size):\n",
" idx = int(i / axs.size * particles_in_time.shape[0])\n",
" # make sure we have the first and last time step are included\n",
" if i == 0:\n",
" idx = 0\n",
" elif i == axs.size - 1:\n",
" idx = particles_in_time.shape[0] - 1\n",
"\n",
" plot_t_range.append(t_range[idx])\n",
" plot_particles_in_time.append(particles_in_time[idx])\n",
"# othwerwise, we have exactly the right number of time steps\n",
"\n",
"for p, t, a in zip(plot_particles_in_time, plot_t_range, axs.flat):\n",
" a.set_title(f\"t={t:.2g}\")\n",
" utils.particles_plot_2d(p, ax=a)\n",
"\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#### Plot some key quantities of the system as a whole\n",
"# sol has the shape (n_steps, n_particles*6) where the first 3*n are the positions and the last 3*n are the velocities\n",
"\n",
"# kinetic energy\n",
"energies = np.zeros(n_steps)\n",
"for i in range(n_steps):\n",
" p = particles_in_time[i]\n",
" ke_per_particle = 0.5 * p[:, 6] * np.linalg.norm(p[:,3:6], axis=1)**2\n",
" # logger.debug(f\"KE: {ke_per_particle.shape}\")\n",
" k_e = np.sum(ke_per_particle)\n",
" energies[i] = k_e\n",
"\n",
"plt.figure()\n",
"plt.plot(t_range, energies)\n",
"plt.title('Kinetic energy')\n",
"plt.xlabel('Integration time')\n",
"plt.ylabel('Energy')\n",
"plt.show()\n",
"\n",
"\n",
"# radial extrema of the particles - disk surface\n",
"r_mins = np.zeros(n_steps)\n",
"r_maxs = np.zeros(n_steps)\n",
"for i in range(n_steps):\n",
" p = particles_in_time[i][1:,...] # remove the black hole\n",
" r = np.linalg.norm(p[:,:3], axis=1)\n",
" r_mins[i] = np.min(r)\n",
" r_maxs[i] = np.max(r)\n",
"\n",
"plt.figure()\n",
"plt.plot(t_range, r_mins, label='r_min')\n",
"plt.plot(t_range, r_maxs, label='r_max')\n",
"plt.title('Radial extrema')\n",
"plt.xlabel('Integration time')\n",
"plt.ylabel('r')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Full PM solver\n",
"We now have all the tools to implement the full PM solver:\n",
"- force computation using mesh\n",
"- integrator with RK4\n",
"- estimate for good timesteps"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:18:28 - task2 (mesh) - Integration range: 0.0 -> 0.2128204686162853, n_steps: 10\n"
]
},
{
"ename": "AttributeError",
"evalue": "module 'utils' has no attribute 'particle_to_cells_nn'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[18], line 15\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# The force function is now more \"rigid\" => the mesh is fixed and boundary conditions are enforced\u001b[39;00m\n\u001b[1;32m 14\u001b[0m force_function \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: utils\u001b[38;5;241m.\u001b[39mmesh_solver(x, G, utils\u001b[38;5;241m.\u001b[39mparticle_to_cells_nn, mesh_size, mesh_bound, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvanishing\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m---> 15\u001b[0m sol \u001b[38;5;241m=\u001b[39m \u001b[43mintegrate\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrk4\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mforce_function\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mp0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt_range\u001b[49m\u001b[43m)\u001b[49m\n",
"Cell \u001b[0;32mIn[13], line 20\u001b[0m, in \u001b[0;36mintegrate\u001b[0;34m(method, force_function, p0, t_range)\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;241m1\u001b[39m, t_range\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m]):\n\u001b[1;32m 19\u001b[0m t \u001b[38;5;241m=\u001b[39m t_range[i]\n\u001b[0;32m---> 20\u001b[0m sol[i,\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[43mutils\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrunge_kutta_4\u001b[49m\u001b[43m(\u001b[49m\u001b[43msol\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my_prime\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdt\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 23\u001b[0m logger\u001b[38;5;241m.\u001b[39minfo(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIntegration done, shape: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00msol\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 24\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sol\n",
"File \u001b[0;32m~/Documents/Uni/HS24/Computational Astrophysics/projects/nbody/utils/integrate.py:88\u001b[0m, in \u001b[0;36mrunge_kutta_4\u001b[0;34m(y, t, f, dt)\u001b[0m\n\u001b[1;32m 84\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21mrunge_kutta_4\u001b[39m(y: np\u001b[38;5;241m.\u001b[39mndarray, t: \u001b[38;5;28mfloat\u001b[39m, f: \u001b[38;5;28mcallable\u001b[39m, dt: \u001b[38;5;28mfloat\u001b[39m):\n\u001b[1;32m 85\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 86\u001b[0m \u001b[38;5;124;03m Runge-Kutta 4th order integrator.\u001b[39;00m\n\u001b[1;32m 87\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m---> 88\u001b[0m k1 \u001b[38;5;241m=\u001b[39m \u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43my\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 89\u001b[0m k2 \u001b[38;5;241m=\u001b[39m f(y \u001b[38;5;241m+\u001b[39m k1\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m dt, t \u001b[38;5;241m+\u001b[39m dt\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m)\n\u001b[1;32m 90\u001b[0m k3 \u001b[38;5;241m=\u001b[39m f(y \u001b[38;5;241m+\u001b[39m k2\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m dt, t \u001b[38;5;241m+\u001b[39m dt\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m)\n",
"File \u001b[0;32m~/Documents/Uni/HS24/Computational Astrophysics/projects/nbody/utils/integrate.py:34\u001b[0m, in \u001b[0;36mode_setup.<locals>.f\u001b[0;34m(y, t)\u001b[0m\n\u001b[1;32m 29\u001b[0m p \u001b[38;5;241m=\u001b[39m to_particles(y)\n\u001b[1;32m 30\u001b[0m \u001b[38;5;66;03m# this is explicitly a copy, which has shape (n, 7)\u001b[39;00m\n\u001b[1;32m 31\u001b[0m \u001b[38;5;66;03m# columns x, y, z, vx, vy, vz, m\u001b[39;00m\n\u001b[1;32m 32\u001b[0m \u001b[38;5;66;03m# (need to keep y intact since integrators make multiple function calls)\u001b[39;00m\n\u001b[0;32m---> 34\u001b[0m forces \u001b[38;5;241m=\u001b[39m \u001b[43mforce_function\u001b[49m\u001b[43m(\u001b[49m\u001b[43mp\u001b[49m\u001b[43m[\u001b[49m\u001b[43m:\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 36\u001b[0m \u001b[38;5;66;03m# compute the accelerations\u001b[39;00m\n\u001b[1;32m 37\u001b[0m masses \u001b[38;5;241m=\u001b[39m p[:, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\n",
"Cell \u001b[0;32mIn[18], line 14\u001b[0m, in \u001b[0;36m<lambda>\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 11\u001b[0m mesh_bound \u001b[38;5;241m=\u001b[39m (\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m2\u001b[39m\u001b[38;5;241m*\u001b[39mr_max, \u001b[38;5;241m2\u001b[39m\u001b[38;5;241m*\u001b[39mr_max)\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# The force function is now more \"rigid\" => the mesh is fixed and boundary conditions are enforced\u001b[39;00m\n\u001b[0;32m---> 14\u001b[0m force_function \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: utils\u001b[38;5;241m.\u001b[39mmesh_solver(x, G, \u001b[43mutils\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mparticle_to_cells_nn\u001b[49m, mesh_size, mesh_bound, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvanishing\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 15\u001b[0m sol \u001b[38;5;241m=\u001b[39m integrate(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrk4\u001b[39m\u001b[38;5;124m\"\u001b[39m, force_function, p0, t_range)\n",
"\u001b[0;31mAttributeError\u001b[0m: module 'utils' has no attribute 'particle_to_cells_nn'"
]
}
],
"source": [
"t_orbit = 2 * np.pi * r_inter / v_mean\n",
"n_steps = int(t_orbit / dt * 5)\n",
"n_steps = 10\n",
"t_range = np.arange(0, n_steps*dt, dt)\n",
"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {n_steps}\")\n",
"\n",
"\n",
"mesh_size = 125 # as per the previous discussion\n",
"r = np.linalg.norm(particles[:,:3], axis=1)\n",
"r_max = np.max(r)\n",
"mesh_bound = (-2*r_max, 2*r_max)\n",
"\n",
"# The force function is now more \"rigid\" => the mesh is fixed and boundary conditions are enforced\n",
"force_function = lambda x: utils.mesh_solver(x, G, utils.particle_to_cells_nn, mesh_size, mesh_bound, \"vanishing\")\n",
"sol = integrate(\"rk4\", force_function, p0, t_range)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"## Show some results\n",
"particles_in_time = utils.to_particles_3d(sol)\n",
"\n",
"# First show the evolution of the particles in a series of 2D heatmaps:\n",
"# reduce the font size\n",
"fig, axs = plt.subplots(4, 6, figsize=(20, 12))\n",
"fig.suptitle(\"Particle evolution (top view)\")\n",
"\n",
"print(t_range.shape)\n",
"# make sure we have enough time steps to show\n",
"diff = axs.size - particles_in_time.shape[0]\n",
"if diff > 0:\n",
" logger.debug(f\"Adding dummy time steps: {diff=} -> {axs.size=}\")\n",
" plot_t_range = np.concatenate([t_range, np.zeros(diff)])\n",
" plot_particles_in_time = particles_in_time\n",
"elif diff < 0:\n",
" logger.debug(f\"Too many steps to plot - reducing: {particles_in_time.shape[0]} -> {axs.size}\")\n",
" # skip some of the time steps\n",
" plot_t_range = []\n",
" plot_particles_in_time = []\n",
" for i in range(axs.size):\n",
" idx = int(i / axs.size * particles_in_time.shape[0])\n",
" # make sure we have the first and last time step are included\n",
" if i == 0:\n",
" idx = 0\n",
" elif i == axs.size - 1:\n",
" idx = particles_in_time.shape[0] - 1\n",
"\n",
" plot_t_range.append(t_range[idx])\n",
" plot_particles_in_time.append(particles_in_time[idx])\n",
"# othwerwise, we have exactly the right number of time steps\n",
"\n",
"for p, t, a in zip(plot_particles_in_time, plot_t_range, axs.flat):\n",
" a.set_title(f\"t={t:.2g}\")\n",
" # remove nan values\n",
" print(np.sum(np.isnan(p)))\n",
" p = p[~np.isnan(p).any(axis=1)]\n",
" print(p.shape)\n",
" utils.particles_plot_2d(p, ax=a)\n",
"\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"import inspect"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"tags": [
"function_runge_kutta"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"def runge_kutta_4(y: np.ndarray, t: float, f: callable, dt: float):\n",
" \"\"\"\n",
" Runge-Kutta 4th order integrator.\n",
" \"\"\"\n",
" k1 = f(y, t)\n",
" k2 = f(y + k1/2 * dt, t + dt/2)\n",
" k3 = f(y + k2/2 * dt, t + dt/2)\n",
" k4 = f(y + k3 * dt, t + dt)\n",
" return y + (k1 + 2*k2 + 2*k3 + k4)/6 * dt\n",
"\n"
]
}
],
"source": [
"print(inspect.getsource(utils.runge_kutta_4))"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"tags": [
"function_mesh_force"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"def mesh_forces(particles: np.ndarray, G: float = 1, n_grid: int = 50, mapping: callable = None) -> np.ndarray:\n",
" \"\"\"\n",
" Computes the gravitational force acting on a set of particles using a mesh-based approach.\n",
" Assumes that the particles array has the following columns: x, y, z, m. \n",
" \"\"\"\n",
" if particles.shape[1] != 4:\n",
" raise ValueError(\"Particles array must have 4 columns: x, y, z, m\")\n",
"\n",
" logger.debug(f\"Computing forces for {particles.shape[0]} particles using mesh [mapping={mapping.__name__}, {n_grid=}]\")\n",
"\n",
" # in this case we create an adaptively sized mesh containing all particles\n",
" max_pos = np.max(np.abs(particles[:, :3]))\n",
" mesh, axis, spacing = create_mesh(-max_pos, max_pos, n_grid)\n",
"\n",
" fill_mesh(particles, mesh, axis, mapping)\n",
" # we want a density mesh:\n",
" cell_volume = spacing**3\n",
" rho = mesh / cell_volume\n",
"\n",
" if logger.isEnabledFor(logging.DEBUG):\n",
" show_mesh_information(mesh, \"Density mesh\")\n",
"\n",
" # compute the potential and its gradient\n",
" phi = mesh_poisson(rho, G, spacing)\n",
" if logger.isEnabledFor(logging.DEBUG):\n",
" logger.debug(f\"Got phi with: {phi.shape}, {np.max(phi)}\")\n",
" show_mesh_information(phi, \"Potential\")\n",
"\n",
" # get the acceleration from finite differences of the potential\n",
" # a = - grad phi\n",
" ax, ay, az = np.gradient(phi, spacing)\n",
" a_vec = - np.stack([ax, ay, az], axis=0)\n",
"\n",
"\n",
" # compute the particle forces from the mesh potential\n",
" forces = np.zeros_like(particles[:, :3])\n",
" ijks = np.digitize(particles[:, :3], axis) - 1\n",
"\n",
" for i in range(particles.shape[0]):\n",
" m = particles[i, 3]\n",
" idx = ijks[i]\n",
" # f = m * a\n",
" forces[i] = m * a_vec[..., idx[0], idx[1], idx[2]]\n",
"\n",
" return forces\n",
"\n",
"def mesh_poisson(mesh: np.ndarray, G: float, spacing: float) -> np.ndarray:\n",
" \"\"\"\n",
" Solves the poisson equation for the mesh using the FFT.\n",
" Returns the the potential - grad\n",
" \"\"\"\n",
" rho_hat = fft.fftn(mesh)\n",
" \n",
" # we also need the wave numbers\n",
" spacing_3d = np.linalg.norm([spacing, spacing, spacing])\n",
" k = fft.fftfreq(mesh.shape[0], spacing) * (2 * np.pi)\n",
" # TODO: check if this is correct\n",
" # assuming the grid is cubic\n",
" kx, ky, kz = np.meshgrid(k, k, k)\n",
" k_sr = kx**2 + ky**2 + kz**2\n",
"\n",
" if logger.isEnabledFor(logging.DEBUG):\n",
" logger.debug(f\"Got k_square with: {k_sr.shape}, {np.max(k_sr)} {np.min(k_sr)}\")\n",
" logger.debug(f\"Count of ksquare zeros: {np.sum(k_sr == 0)}\")\n",
" show_mesh_information(np.abs(k_sr), \"k_square\")\n",
"\n",
" k_sr[k_sr == 0] = np.inf\n",
" # k_inv = k_vec / k_sr # allows for element-wise division\n",
"\n",
" # logger.debug(f\"Proceeding to poisson equation with {rho_hat.shape=}, {k_inv.shape=}\")\n",
" phi_hat = - 4 * np.pi * G * rho_hat / k_sr\n",
" # nabla^2 phi becomes -i * k * nabla phi_hat = 4 pi G rho_hat\n",
" # => nabla phi = - i * rho * k / k^2\n",
" phi = np.real(fft.ifftn(phi_hat))\n",
" return phi\n",
"\n"
]
}
],
"source": [
"print(inspect.getsource(utils.mesh_forces))\n",
"print(inspect.getsource(utils.mesh_poisson))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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