{ "cells": [ { "cell_type": "markdown", "id": "1c867a80", "metadata": {}, "source": [ "# Section 09 - Probe Delivery" ] }, { "cell_type": "markdown", "id": "e636928b", "metadata": {}, "source": [ "## Initial Capture Orbit" ] }, { "cell_type": "code", "execution_count": null, "id": "f749d936", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle\n", "from AMAT.approach import Approach\n", "from AMAT.orbiter import Orbiter" ] }, { "cell_type": "markdown", "id": "537fa4b3", "metadata": {}, "source": [ "## Compute the approach trajectory" ] }, { "cell_type": "code", "execution_count": 2, "id": "4594da7d", "metadata": {}, "outputs": [], "source": [ "probe1 = Approach(\"URANUS\",\n", " v_inf_vec_icrf_kms=np.array([-9.62521831, 16.51192666, 7.46493598]),\n", " rp=(25559 + 345) * 1e3, psi=np.pi,\n", " is_entrySystem=True, h_EI=1000e3)\n", "\n", "theta_star_arr_probe1 = np.linspace(-1.8, probe1.theta_star_entry, 101)\n", "pos_vec_bi_arr_probe1 = probe1.pos_vec_bi(theta_star_arr_probe1) / 25559e3\n", "\n", "x_arr_probe1 = pos_vec_bi_arr_probe1[0][:]\n", "y_arr_probe1 = pos_vec_bi_arr_probe1[1][:]\n", "z_arr_probe1 = pos_vec_bi_arr_probe1[2][:]" ] }, { "cell_type": "markdown", "id": "7dade3a7", "metadata": {}, "source": [ "## Compute the aerocapture corridor" ] }, { "cell_type": "code", "execution_count": 3, "id": "1ed86e58", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overshoot limit : -11.0088 deg\n", "Undershoot limit : -12.0264 deg\n", "TCW: 1.0176 deg\n" ] } ], "source": [ "# setup the Planet object\n", "planet=Planet(\"URANUS\")\n", "planet.h_skip = 1000e3\n", "planet.loadAtmosphereModel('../../../atmdata/Uranus/uranus-gram-avg.dat', 0 , 1 ,2, 3, heightInKmFlag=True)\n", "planet.h_low = 120e3\n", "planet.h_trap= 100e3\n", "\n", "# Setup the vehicle object : assume m=3000 kg, beta=200 kg/m2\n", "vehicle=Vehicle('Titania', 3200.0, 146 , 0.24, np.pi*4.5**2.0, 0.0, 1.125, planet)\n", "vehicle.setInitialState(1000.0,-15.22,75.55,29.2877,88.687,-11.0 ,0.0,0.0)\n", "vehicle.setSolverParams(1E-6)\n", "\n", "# Compute the corridor bounds and TCW\n", "overShootLimit, exitflag_os = vehicle.findOverShootLimit2(2400.0,0.1,-25,-4.0,1E-10,500e3)\n", "underShootLimit, exitflag_us = vehicle.findUnderShootLimit2(2400.0,0.1,-25 ,-4.0,1E-10,500e3)\n", "\n", "# print the overshoot and undershoot limits we just computed.\n", "print(\"Overshoot limit : \"+str('{:.4f}'.format(overShootLimit))+ \" deg\")\n", "print(\"Undershoot limit : \"+str('{:.4f}'.format(underShootLimit))+ \" deg\")\n", "print(\"TCW: \"+ str('{:.4f}'.format(overShootLimit-underShootLimit))+ \" deg\")" ] }, { "cell_type": "markdown", "id": "580f7a2f", "metadata": {}, "source": [ "## Get a propagated vehicle object with an exit state" ] }, { "cell_type": "code", "execution_count": 4, "id": "fcd35d7e", "metadata": {}, "outputs": [], "source": [ "# propogate the overshoot trajectory\n", "vehicle.setInitialState(1000.0,-15.22,75.55,29.2877,88.687,overShootLimit,0.0,0.0)\n", "vehicle.propogateEntry2(2400.0,0.1,180.0)" ] }, { "cell_type": "markdown", "id": "d1296907", "metadata": {}, "source": [ "## Compute the coast phase trajectory, PRM dv, and full orbit trajectory" ] }, { "cell_type": "code", "execution_count": 5, "id": "62259b5b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PRM DV VEC, m/s: [ 64.07245044 -12.31975871 8.76878289]\n", "PRM DV MAG, m/s: 65.83271916788875\n" ] } ], "source": [ "orbiter = Orbiter(vehicle, peri_alt_km=4000.0)\n", "\n", "# print the periapsis raise manuever DV\n", "print(\"PRM DV VEC, m/s: \"+str(orbiter.PRM_dv_vec))\n", "print(\"PRM DV MAG, m/s: \"+str(orbiter.PRM_dv_mag))" ] }, { "cell_type": "markdown", "id": "da111134", "metadata": {}, "source": [ "Run the file ```example-09-initial-orbit.py``` for a visualization of the hyperbolic approach, coast phase and the final orbit trajectory." ] }, { "cell_type": "code", "execution_count": 6, "id": "3737c289", "metadata": {}, "outputs": [ { "data": { "image/png": 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sJT6LrJxXCSyfLW1ZuecS2z0WlAMAAAAAACyqUmVYd2dr2Me2ZSeEttW8SmD57GjHBjuEtgAAAAAAAIusVLmnPZfYbmlrXvnq2wqhLd/FIqOn7TEYj+dVAAAAAAAA4MSVKre05R5NNNb4si7PO2L1XZ1XgEVAaPuCSpUa+P+TE9oCAAAAAAAsIB4+1jUOg2p6DbCsTGbDoWuPMBzOqwYAAAAAAMDJ8o+Rl+1pr+SxWxnjWWRYVSaznYELbatqXjUAAAAAAABOUKUqJrZusS2ivRDaDuZVAksmD20Hg3nVAAAAAAAAOCmlSpfYmqyiDUBHfBZZNa8Srws9bV9COZ5XAQAAAAAAgBNVqtzTnhtvanOk0czydXQtDC7OqgKWTanSyj0Lf2QDAAAAAACAReASW5fZbGlrXvmaqsJK2515lcAyyUPbvb151QAAAAAAAHj1SpU72omtbOeVr69B9iwyYHUQ2gIAAAAAACyUUuWWtmJiW6qcd8Rai6FtOa8SWBqlShvsENoCAAAAAAAsiKGGJLZHt8ezyBYbDyJ7WePxvAoAAAAAAAC8SkMNr+iKpLHGl3V5rPG8I9bd7rwCvF6EtgAAAAAAAFhilaqY2G5qc5dA8giuhcHFWVV4bQhtXwRr7AEAAAAAABZBpWpLW268re2RRjPL8f+3d7dJaiPZAoaPb9x9OL0Sq1dy5ZU0sxJ5VkJ5JcIr0f0hp1oNhZKiAH09T1RMqD2nOmI8NgUvydEfp3yRrs/AylRRDTttj8fSNAAAAABPkCL1e2y76A5xKI3zjzS6FxkL5KTtvdKpNAEAAADAs6RIbfy5Qfx/4j+i7YecRtfpygwzEm0/y43IAAAAAF4sRTrGn48//4yfiu0dTvmiuj7DXETbe7gFIQAAAMBc+mLb33PoZ/z8ET9K38E73vJFuj7DXETbe7gRGQAAAMAsxsX2FCfF9m6/88XXqSnmIdre4xSnSL8DAAAAgBdKkZpohmL7Lb6VvoOrTvkiXZ9hLqLtZ/0WbwEAAACery+2VVQRcYrTX/FX6TuY8pYvquszzEW0vYedtgAAAACvdFls9ZlPOo2u05UZ5iLaftZXaz8AAAAAnilFqqNWbB/ulC+q6zPMQrS90+lUmgAAAADg0/pi+3f8HYrto73li3R9hlmItgAAAAAslGL7VMOtmnySfGlE2zsNDxApTY0BAAAAcB/F9tlO+SJdn4E1aaq666Lr4ngsjQIAAADwQSnSIQ5ddF10bbRJV3yCFNHlL9iCJh36aNu2pVEAAAAAPkixfY0h2qbSJKzAEG0770QAAAAAPJRi+zJtjrZ1aRJW4BCiLQAAAMCD2YrwYk2OtofSJKxAHfUQbd2LDAAAAODzFNvXO+Ro25QmeaX/KQ1w3SmVJgAAAAC4SYpUR/13/B0Rpzj9FX+d4lT6Jj7rlC/S9RlYjTrqrk1O2gIAAAB8njO2c0mje5HBFgzRtqpKowAAAABcodjOa4i2qTQJK9A1f9ba1nVpFAAAAID3pEjHOCq2M2pztK1Lk7yMnbb3G/aqWI8AAAAAcIcUqYmmiirssZ3PW2mA1xNt7/f2+9RffP06OQcAAADAhf6MrWI7u9/54vvUFC8l2t4vN1snbQEAAAA+pi+2/TIExXZep3yRrs/AatSp6nfadu6uBwAAAHCzFKmN1h7bhahG9yKD1UuRhmjrsC0AAADALc6KbWmcVxiibSpNwgp07Z9uW9elUQAAAIDdS5HyETjFdkHaHG2r0iSvYaftp5zeUmkEAAAAgIiIOuoh1P6Mn9/i2/Q8L/OWL9L1GViNpvnz3lDTlEYBAAAAduwQh+GM7SEOpXFeqsknbSUutqCpK9EWAAAAYJpiu3C1aMuW1NU/9yIDAAAA4EyKpNguXzW6FxmsXhWVaAsAAADwrnGxbaNVbJdsiLapNAkr0B0OfbRNqTQKAAAAsBsp0jGOiu1atKItW9LWh+5YdV3UdWkUAAAAYB9SpDbavtge41hFVfoOZnbM0bYuTcIKNE24FxkAAADAYFxs22iTs5tr0ORoeyhNwgrUdd6kba0tAAAAsHtVVMNtxxTbFalztHUukY0Yoq21tgAAAMCeDbcd64ttaZwFqXO09X8bG9G2fx6NrLUFAAAAdmtcbN12bI26/AVbYK0tAAAAsGcpkmK7AUO0TaVJWAFrbQEAAIDdOrvtmGK7Xm2OtnVpEtbBWlsAAABgh86KbS33rVmTo+2hNAnrYK0tAAAAsDdVVOPbjiWfql+5Q462NoCyEdbaAgAAALsyXmKr2G5DnaPtsTQJ61BH3R0ra20BAACAzTu77VjjXOZWpNG9yGAjuui6prbWFgAAANiwFKmJZii2bju2MUO0TaVJWIc/W7cPh7pKpVkAAACA9Tm77Zhiuz1tjrZVaRLWYfhcgA8FAAAAANvjtmN70ORoW5cmYR3Gj1wetgAAAIAtcduxnRiirTOJbMfwAYHauxEAAADAJrjt2K7Uoi3bU0ft8QsAAADYjPESW7cd24NqdC8y2A4bEgAAAIBtcNuxfRJt2aBjHG1IAAAAANbOEtvdanO0TaVJWI1hQ8IxjqVZAAAAgMU5W2Kr2O7NEG3r0iSsiQ0JAAAAwEpZYkuTo+2hNAlrMmxIcDsyAAAAYEWqqMYHbBXbfTrkaCtssSnDhoTOymYAAABgDaxEYFDnaGv1J1tjQwIAAACwFmfF1n16di7laOs0IltjQwIAAACwCpbYcmmItqk0CWtiQwIAAACwfGcrERRbem2OtlVpElamjbZ/n6ryxxsAAABYGEtsmdDkaFuXJmFlhgc+GxIAAACARbESgWlDtFW12JoqKrcjAwAAAJbGSgSKatGWDXM7MgAAAGA5rETgRnWOtm1pEtbH7cgAAACAhbASgQ/p8hds0PBoWFvcDAAAAMzESgQ+aoi2qTQJ6+OwLQAAADAjKxG4T5ujbV2ahFUaHhYdtgUAAABe6WwlwjGOpe+APxrRlm1rovHICAAAALyYlQh8xiFH26Y0CWs1PERWUZVmAQAAAD7FSgQ+r87R1iFENms4bNt4cwIAAAB4piqq8UoEB2y5TzW6FxlsUxXV8FjprS0AAADgGS4P2Cq2fMYQbVNpEtbqGEeHbQEAAIAnObvnmJUIfF4r2rJ5ddTD42ZpFgAAAOADxgdsrUTgUY452talSVixJpr+LS8PnQAAAMBDXK5EqBU2HqTJ0fZQmoQVGx+29QkFAAAA4JPO7jl2jKPgwAPVOdra9cnG2WwLAAAAfJ57jvECdY62x9IkrFsV1fB4WkVVGgcAAAA4555jvEbK0dYNmti+4bDt0bsUAAAAwEc4YMuLDdE2lSZh3VIkh20BAACAj7o8YCss8GxtjrZVaRJWr4nGYVsAAADgRmcHbLvoHLDlNZocbevSJGyBw7YAAADALVKkYdeilQi82BBtm9IkbMHw/lgbbWkWAAAA2KmzA7bHOLrnGK9Ui7bszbCGpnbAHAAAAPg3B2xZgjpHW6cO2Ys66uGRtzQLAAAA7MjZAds2WgdsmUuXv2AvhsO23isDAAAA4uKeYw7YMrsh2qbSJGzE+LCtd8wAAABg5xywZYHaHG3r0iRsRxPNsEq8NAsAAABskw22LFYj2rJDVVTDI3IVVWkcAAAA2BoHbFmyQ462TWkSNmV4aG7diA8AAAD2xAFblq8Wbdmt4QG68ecfAAAAduDshmMO2LJYVY62DhuyO5YkAAAAwH6kSG20DtiyFl3+gt0Z7khmSQIAAABs1eUB22McHbBl4docbVNpEjZoeJPNkgQAAADYHgdsWakh2talSdggSxIAAABgky4P2DbROGDLWjSiLTs33JHMkgQAAADYhjpqB2xZtUOOtj4bzn4Nj+MewQEAAGDVUqThHjZe7LNetWgLliQAAADA2l3uQ2ij9TKflapytO1Kk7Blw5KEYxxLswAAAMCyuOEY2yPaQkTE8MheW/EMAAAAK/HuAVs3HGMD2hxtU2kStqyO2pIEAAAAWBE3HGPDhmhblyZh44YlCW20pVkAAABgNinS8Cp+uOGYA7ZsSZOj7aE0CdtnuS0AAAAsmRuOsROHHG2b0iRsX4o0fo+uNA4AAAC8jn0I7Eedo61zhRARUUVluS0AAAAsSorURDM+YHuMo30IbFiVo21XmoS9sNwWAAAAFuLdfQgO2LIHoi2cs9wWAAAAZmcfAnvW5mibSpOwF5bbAgAAwIxSpOFA1VBs7UNgV4ZoW5cmYUcstwUAAIDXsw8Bek2OtofSJOzL8EPCclsAAAB4AfsQYHDI0bYpTcLuWG4LAAAAL3C5D+EYR/sQ2LM6R1tNCs5ZbgsAAABPZR8CvKvK0bYrTcIeWW4LAAAAzyDXwjTRFqaMf4TotgAAAPB5Z+tru+iaaOxDgLE2R9tUmoSdGhbrtNH6EQIAAAB3u1xf20brjBRcGqJtXZqE/Rp329IsAAAAcM4+BPiQJkfbQ2kSdm3otkc37gMAAICbybVwh0OOtk1pEnYtRRp+uui2AAAAcAvra+E+dY62IhQUVFENP2O8JQgAAAATrK+Fz6hytO1Kk8C/uq2fNAAAAHDJPgR4CNEWPqCOWrcFAACAS3ItPFCbo20qTQIREeOfQLotAAAAXOZa62vhk4ZoW5cmgT+GvTxttKVZAAAA2LLLu41ZXwuf1+RoeyhNAv8Yuu3RffwAAADYpXfvNlY7FwiPcMjRtilNAv+i2wIAALBPKVITjfW18Dx1jraqL+S+EAAAGPBJREFUE3xMijT8cNJtAQAA2AN3G4PXqHK07UqTwDndFgAAgJ24lmvdbQyeRLSF++m2AAAAbNtlru2ia6KRa+Gp2hxtU2kSeIduCwAAwCb1ubaN9uyAbRVV6VuBzxqibV2aBN6n2wIAALAlKVId9WWureUjeJVGtIXP020BAADYhndzrbuNwYsdcrRtSpPAFN0WAACAVaujPsZRroUlqEVbeBTdFgAAgDVKkeRaWJQqR9uuNAmUjbtt470QAAAAlk2uhcUSbeGRqqh0WwAAABYuRWqiucy1KVLpW4FXaHO0TaVJ4Ca6LQAAAIv1bq5topFrYVGGaFuXJoFbjbut/bYAAAAswWWu7Q8bybWwQI1oC89QRdVGq9sCAAAwuxTpEIfLXFtFVfpWYB6HHG19iBsebHzeto22NA4AAAAPJtfCStWiLTxPijTutn4oAgAA8BpyLaxalaOtY4DwFCnSMY66LQAAAK/xbq71ghRWp8tfwLMM3baLzo9JAAAAnkGuhS0Zom0qTQL3G3fb2q3/AAAAeJwUqYlGroUtaXO0rUuTwKeMf4Ie4lAaBwAAgAK5FraqEW3hZcYfVGncABAAAIB7vZtr3WoMNmOItvoRvEIV1fDT9BjH0jgAAAD8y/iW13ItbFUt2sKL6bYAAADcoY5aroWdqHO0bUuTwMOMu61lQwAAAExIkS5zbRutXAsblnK07UqTwCOlSG20w49bP2gBAAA40+fa8YvHIdemSKXvBtZtiLapNAk80tna+EMcSt8BAADALqRIhzhc5tpDHORa2Ik2R9uqNAk83vgTLlbcAgAA7Fyfa88W18q1sENNjrZ1aRJ4ivHPYytuAQAA9mki15a+FdigIdoeSpPAs4xvTWbFLQAAwK7ItcClOkfbpjQJPFGKNF6V4GczAADA5p3d7ESuBQZ1jraWacL8rLgFAADYvBSpjnr8AnDItbX1lUBERKQcbbvSJPAKVtwCAABsVZ9r22jPcm0TjVd/wJkh2qbSJPAKVtwCAABszLXFtXItcE0r2sLSWHELAACwDZe5to22X1ybpBjgumOOtnVpEngpK24BAADWy33GgM9ocrQ9lCaBV7PiFgAAYF0m7jMm1wK3O+Ro25QmgRmcrbj1Mx4AAGCZ+k0Il/cZa6Otfb4Z+KA6R1sfvoaFOltx68gtAADAorjPGPBwVY62XWkSmNPZMwBHbgEAAGY3sbjWfcaATxJtYR3OViW4OxkAAMAsLK4FXqDN0TaVJoGZWZUAAAAwo3c3IXQW1wJPMETbujQJLIJVCQAAAC92bROCxbXAkzSiLazO2ZHbYxztSwIAAHi46U0IXogBz3PI0bYpTQLLMj5ya1UCAADAA/WbENpobUIAZlGLtrBeZ3cna/xFBgAA+BybEIAlqHK0bUuTwBK5OxkAAMDn2YQALE2Xv4C1Ors72TGOpe8AAAAgIm9COGu1Q64tfTfAswzRNpUmgeVKkcbrlhy5BQAAmDBxtNYmBGAJ2hxt69IksHSO3AIAAEybuMmYTQjAcjSiLWzJ5ZZbn+gBAACIKzcZ61831aoIsDBDtHXfediOyyO33i4GAAD2qT9aaxMCsC61aAubdHbktovOkVsAAGBXJo7Wen0ELFydo63dl7BBjtwCAAB74yZjwAakHG270iSwSo7cAgAAO9FvQnC0FtiGIdqm0iSwVmdPXNpoHbkFAAC2wdFaYJNa0Rb2wJFbAABgY6a31jqqAqzaMUfbujQJrF4dtU8JAQAAqzZ9tLbWN4BNaHK0PZQmgS24fC+6jdYnhgAAgOWronK0FtiJQ462TWkS2I4qqjZa2xIAAIDl6+8wdvYSprO1Fti0OkfbY2kS2JrLG5RJtwAAwEL0axAcrQX2qcrRtitNAhvUv2VtWwIAALAcl69THK0Fdki0hb1Lkc4+atRYmQIAALzWtTuM+VwgsE9tjrapNAls2eVb2Z4VAQAALzBxhzFHa4HdGqJtXZoENs62BAAA4GWu3WGsi+4Yx1qmAPatEW2BsRTp7BNJxzja8Q8AADxEcQ2CVx8AEXHI0dYKS+AftiUAAAAPlCJZgwBwu1q0Bd717oeVpFsAAOBDJtYgtNFagwDwripH27Y0CezR5bYEd24FAACKimsQHK0FmNblL4D3SbcAAMAtplutNQgAtxuibSpNArtWRXX2maY2Wk+5AACA6ZW1xzhagwDwUW2OtlVpEuCde5RJtwAAsFvTK2sPcUiOiAHcpcnRti5NAvxxmW6PcfRsDAAAdqJvtdYgADzPEG0PpUmAf/TP0s6en1l0CwAAG2ZlLcDL1DnaNqVJgHMp0uXiKukWAAC2ZLrVWlkL8Ax1jrbH0iTA+1Kksydw/fqq0vcBAADL1bfad28v1llZC/BkKUfbrjQJMKWK6vL+A9ItAACsS4pURTXdaq1BAHiBIdqm0iRAwbu3jpVuAQBg+d69ccXQaq2sBXixVrQFHku6BQCAtehb7eUTeK0WYF7HHG3r0iTAB1xbmGDvFQAAzK7Yat1eDGBeTY62h9IkwIdJtwAAsBx9qz27k7BWC7BAhxxtm9IkwJ2kWwAAmJFWC7A6tWgLvIZ0CwAArzTdao9x1GoBFqvK0bYtTQI8QIp0+ayxiUa6BQCAh9BqAbahy18AL/Juum2j9fQRAADuo9UCbMwQbVNpEuCRrqXbg1sjAgDADVKkKqpDHC4XkWm1AGvX5mhblSYBHi9FaqKRbgEA4EZ9q718Fq3VAmxJk6NtXZoEeJb+w1yXzzjdqQwAAHopUh31RKttotFqATZjiLaH0iTAc11Lt9bdAgCwW1otwD7VOdo2pUmAF3l3LZedCQAA7Effat+9sZhWC7AHdY62x9IkwEtZdwsAwN70Hz6bbrWVe9IA7EDK0bYrTQLM4N2dCX26te4WAIAN6G8sptUCcGaItqk0CTCPiXW3Dt4CALBG08tqh+e6Wi3AbrWiLbAW/brbs4230i0AAGtRXFZ7jKNPlQEQEcccbevSJMAiVFG9eyShjdbdGAAAWKBbltV6KgvAWJOj7aE0CbAgdiYAALBktyxAsKwWgGsOOdo2pUmAJep3Jlw+CfaxMgAAXm96AUJnWS0At6lFW2ADHLwFAGAuKVJxAcIxjnXUWi0AN6pytG1LkwBL1z9Xvjx426dbB28BAHigGxcgWFYLwH26/AWwESnStZuVOXgLAMBnTB+q7SxAAOBBhmibSpMAa3JtZ0IXnafRAADc7vZDtT7dBcCjtDnaVqVJgFWqomqisTYBAIAPueVQbRON0wAAPEOTo21dmgRYsWsbbztrEwAAyG45VOuuYgC8wBBtD6VJgC2wNgEAgLEUqYrqlkO17ioGwMvUOdo2pUmA7Zj4sJu1CQAAe+BQLQBLVudoeyxNAmzQxMFbaxMAADZmCLXFQ7VCLQDzSjnadqVJgC2bXpvgo3AAACuVIt14SzGHagFYlCHaptIkwMYV1yZ4Hg8AsArF7Qee4AGwcK1oC3CmuDbBk3sAgKUZQm0bbfFQbelfBgAzG6JtXZoE2J1ivXXLMgCAGd24ptYtxQBYnUa0BSiqolJvAQCWIEXqn5tNh1ofkAJg1Q452jalSYC96w/eXluOpt4CADzJLfcT62w/AGBDatEW4KOmXzP09bb07wAAoKDffiDUArBDVY62bWkSgHO31FtnbwEAbjesqb0l1Np+AMCGdfkLgDuptwAAdxNqAeDSEG1TaRKAgr7ettFO1FuvNACAnet31N4Sao9x9PQJgH1qc7StSpMA3OqWs7eWrwEA+zGE2uKOWqEWACKiydG2Lk0C8GHFetu/LCn9awAA1idFqqKaeC4k1ALANUO0PZQmAbhfX28nPgPYH78t/WsAABatP04r1ALAJ9U52jalSQAeoz9yMl1vvYABANZiWFAr1ALAo9Q52h5LkwA82C03LnP8FgBYmhvvJNY/n2miqaMWagHgQ6ocbbvSJADPMl1vO8dvAYC53bigVqgFgEcRbQGWonhXZcdvAYCXuXHvwTjUpkilfysAcJM2R9tUmgTgRYbDLNOvjhy/BQAeqH8GcuPeg2Mcm2g8FQGAJxmibV2aBGAG/fKE4vHb2sM4APBxdxynFWoB4AUa0RZgFRy/BQA+70PHaYVaAJjLIUfbpjQJwFLccvz2GEcBFwCI0nHa8d1QPYUAgIWoRduP+1IaAHiRFKk/L/N3/H1t5hSnt3j7Hb/dwQwAdqJ/epAifY/vxfzaP1X4Fb/6i+lhAOA16pxrTxHfJicZiLbAEvWHaKZfm53i9N/4b0QIuACwJf37uEOlTZM3mh7e0H2LN5UWAJYpRbT5Wou8kd8oYOluD7herQHAGvVZtorqe3zvz9VODJ/iFBGO0wLAunT54lvEaWKOTLQFVmPYnyDgAsCqfajShqUHALB+bfz57IxoeyPRFlilIeD+X/zfxKcmBVwAWIL7Kq2lBwCwGcf48+P/R8TPyUl6oi2wev3+hIiYuINZ2IELAC90R6Xtv37Fr7d4OzmCAwDb0kTUERHxn/Ca/CaiLbAptwdc53cA4IHS6O5hH620lh4AwOYd4s+r9J8RPyYn6Ym2wGbdHnCHcz1eMQLAjVRaAOB2dUQTEaLtzURbYBf6F5P9C8viPamtwQWAS+Mfpn2unZ5XaQGAQRVxjIiIU8S3yUl6oi2wOynfxOyWgGuLAgD79NGltKHSAgCTunwhR97C7xKwd/0WhWLAjXwIN9zKDIAtGsrshyrt8O5mn2tL3wEA7NcQbb+FJw1loi3AP25cgxs24QKwch/dSBsRfZN9izcHaQGAO7TxZ7nSX+FpRJloC/C+27cohEUKACzb2a6DWzbShnUHAMBDNRF1RET8iPg5OUmItgA3Gg7h3thw+0UKGi4As7hv10GMDtJadwAAPNYQbf8Tdg6WibYA9+gb7tf4Wv/5oTNFwwXgqe5ItOEgLQDwWnVEExERPyN+TE4Soi3A531okULYpQDAJwyLDkKiBQBWpc7R9i3ir8lJQrQFeLg7Gu7JPc0AeM9nEm3YdQAALEkVcczXimSR3yKA5+pfYKdIH224/YWMC7AfKd8i7EO3C4t/J9rIH+mY/hYAgNfr8oUiWeS3COClPnoON/69TsFRKYBtuPsIbUi0AMBqtfHnHelv4ZVtgWgLMKeh4UbEfRnXC3WA5bv7CG3kT2CMP4Th3TsAYKWGaPsj4ufkJKItwIL0r+HrqOODDTci/hv/jQgZF2Be4z7b/+OND+a9s0TrIR0A2JImoo4I0fYGoi3Aot19FLd/wR8yLsDTfKbPDqdlbTkAAPbjEPF3RET8jPgxOYloC7AyKd/Z7Gt8/Wgg6JcqnNziDOAj+o9BjPfPDv94o2ELbUTYcgAA7FYd0USEaHsD0RZg9YaMe/tR3N7ZgVwFASCNFs7esX82cp8drzjw6AoA0KtztD1FfJucRLQF2JrhCNjwid2PllwHcoHNu4yz8cFHy3ivz0Y+TgsAwKUU0eZrUXKa3x+AXUh37cYdOJMLrNTnNxv0xkHW+VkAgLt1+eJbeC41RbQF2KlPHsiNXHJPcXIsF5hX/4A2HJ7tV35/dK1B7+zwbOTPH0x/FwAAN2rjz1M00XaaaAvAP84O5N6RPIbDaL/jd+RTaXoH8BDjFNu/23R3nI333nlyeBYA4NmO8ee40I+In5OTOyfaAlAwLrn9+bWPnsmN0eG14eSaPgJcGp+ZjUeU2Rg94ITNBgAAc2si6oiI+E/EYXJy50RbAO7R15N+u0LctSd3MD7sFg7nwg6MI2zK2wzi40taxoZ3hi7fHJr+RgAAXukQ8XdERPyM+DE5uXOiLQCP9JBjub1xgul7rvO5sApnp2XHWfYzB2Zj9LDwK359ja/9sdnwNg8AwHrUEU1EiLYloi0ArzAcrEufu0fQQNKFubzbZIdf+czf697Z3+7hL7UyCwCwAVXEMSIiThHfJid3TrQFYE593xnWLHzycO7gWtIdXwCXhuR61mTPQu0nnf1ltM0AAGBXunyhS07wmwPAQg2n9sY991HNKCbDrgN9bM+1Gjv8Vw/8yxWyLAAA1w3R9lt4aniVaAvAKj076UauTjEKTw7tsjRDbx3/Z59ix7/ywL8XvbO/Av0Sg+FX/L0AAGBCG3+env4VzstcJdoCsDXjUDW0qmdU3bHLhjX+xWFGzGLC8IdzHGHjVR12MP5z2//ncE42/DEGAODTmog6IiJ+RPycnNyz/y0NAMDKnKXSd12G3U9u7TyrbEWXXazvvGe/+O4FS3YWXi8vLvPreOap3v1Td/aL/pgBAPAyqTSwZ19KAwCwU2cNd1zcPpN3P2+i5w7l993/9vIfd17oxv/3Fa+H2PruwCx/EnrFFBtqLAAAS1JHNBER8TPix+TknjlpCwDvO8teE8bZblxyh9O7ZzOfdPbvfJR3/5fe/ovx72T8QONaOuHyd+PsVx772/UkZ6l9iLBnvxI6LAAA65dKA3v2pTQAADzYuyV3nHqvzbAKZ+F1fDHOr8PFWY0FAIBtqyKO+VqavMbvDACsybjenvXc8X81/Vn+y+u1O8Xpjv85Z510/I/j67N1w9euVVcAALhRly+kyWv8zgAAEe813GsZ9N1fv6OZ3ujGGHo5dsuvAAAAr9fGn9cP38JzdAAAAACAubURXUQXUZcmd+t/SgMAAAAAAA/zVhpAtAUAAAAAZvC9NLBboi0AAAAA8Dq/SgOItgAAAADADFJpAAAAAACAp0v5RmRdaRIAAAAAgFcYom0qTe6T9QgAAAAAwEudSgM7J9oCAAAAAPOoSgP7JNoCAAAAAC/1VhrYOdEWAAAAAHip3/ni+9TUfom2AAAAAMBLnUoDOyfaAgAAAADzqEoDAAAAAAA8XYro8hcAAAAAAPMbom0qTe6Q9QgAAAAAwKudSgN7JtoCAAAAAK92yhfV9ZndEm0BAAAAgFc75Yt0fWa3RFsAAAAA4NV+54uvU1M7JdoCAAAAAK92Kg3smWgLAAAAALzaKV9U12d260tpAAAAAADg8bp8oVGecdIWAAAAAJhTKg3sjWgLAAAAAMzglC/S9Zl9Em0BAAAAgBm85Yt0fWafRFsAAAAAYE6pNLA3oi0AAAAAMINf+eLr1NQeibYAAAAAwJxSaQAAAAAAgKerIrr8xdiX0gAAAAAAwFMMuVamHLMeAQAAAACYWSoN7IpoCwAAAADM45QvquszOyTaAgAAAADzeCsN7JNoCwAAAADMLJUGdkW0BQAAAADm8StffJ2a2h3RFgAAAACYWSoNAAAAAADwdFVEl78YfCkNAAAAAAA8y5BrlcqB9QgAAAAAwGxO+SJdn9kb0RYAAAAAmF9VGtgP0RYAAAAAmM1baWCHRFsAAAAAYH7fSwP7IdoCAAAAALP5VRrYIdEWAAAAAJhfKg0AAAAAAPB0KaLLXwAAAAAAzG+Itqk0uRPWIwAAAAAAczqVBvZGtAUAAAAAFqEqDeyEaAsAAAAAzOmtNLA3oi0AAAAAMKff+eL71NSOiLYAAAAAwJxOpYG9EW0BAAAAgEWoSgMAAAAAADxdiujyFwAAAAAA8xuibSpN7oH1CAAAAADAzE6lgV0RbQEAAACAmZ3yRXV9Zj9EWwAAAABgZqd8ka7P7IdoCwAAAADM7He++Do1tReiLQAAAAAws1NpYFdEWwAAAABgZqd8UV2f2Y8vpQEAAAAAgKfr8oVk6aQtAAAAALAgqTSweaItAAAAADC/U75I12d2QrQFAAAAAOZ3yhfp+sxOiLYAAAAAwPxO+SJdn9kJ0RYAAAAAmN/vfPF1amoXRFsAAAAAYH6n0sB+iLYAAAAAwPxO+aK6PrMTX0oDAAAAAACv0OWLnVdLJ20BAAAAgGVJpYFtE20BAAAAgEU45Yt0fWYPRFsAAAAAYBHe8kW6PrMHoi0AAAAAsCypNLBtoi0AAAAAsAi/88XXqantE20BAAAAgEU45Yt0fWYPRFsAAAAAYBFO+SJdn9mDL6UBAAAAAIAX6fLFnsOlk7YAAAAAwOKk0sCGibYAAAAAwFKc8kW6PrN5oi0AAAAAsBRv+SJdn9k80RYAAAAAWJxUGtgw0RYAAAAAWIpf+eLr1NTGibYAAAAAwOKk0gAAAAAAAE9XRXT5a7e+lAYAAAAAAF5nyLW7bZfWIwAAAAAAS5RKA1sl2gIAAAAAC3LKF+n6zLaJtgAAAADAgrzli3R9ZttEWwAAAABgiVJpYKtEWwAAAABgQX7li69TU1sm2gIAAAAAS5RKAwAAAAAAPF0V0eWvffpSGgAAAAAAeKkh1+4zX1qPAAAAAAAsyylfpOszGybaAgAAAAALVZUGNkm0BQAAAACW5a00sG2iLQAAAACwUKk0sEmiLQAAAACwLL/yxdepqc0SbQEAAACAhUqlAQAAAAAAnq6K6PLXDn0pDQAAAAAAvNqQa3dYMK1HAAAAAAAW55Qv0vWZrRJtAQAAAIDlqkoD2yPaAgAAAACL81Ya2DDRFgAAAABYru+lge0RbQEAAACAxflVGtgw0RYAAAAAWK5UGtie/weZLZjsKTeAzQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": { "image/png": { "width": 1200 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename=\"../../../data/acta-astronautica/uranus-orbiter-probe/initial-orbit.png\", width=1200)" ] }, { "cell_type": "code", "execution_count": 21, "id": "ffa72155", "metadata": {}, "outputs": [], "source": [ "def compute_TOF(a, e, GM, theta_star_1, theta_star_2):\n", " \n", " \"\"\"\n", " Computes the TOF between two true anomalies\n", " \"\"\"\n", " \n", " # Compute E1\n", " if theta_star_1 >= 0 and theta_star_1 <= np.pi:\n", " E1 = 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_1/2))\n", " else:\n", " E1 = 2*np.pi - 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_1/2))\n", " \n", " # Compute E2\n", " if theta_star_2 >= 0 and theta_star_2 <= np.pi:\n", " E2 = 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_2/2))\n", " else:\n", " E2 = 2*np.pi - 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_2/2))\n", " \n", " \n", " # Compute TOF\n", " TOF = np.sqrt(a**3/GM)*(E2 - E1 + e*(np.sin(E1) - np.sin(E2)))\n", " return TOF" ] }, { "cell_type": "code", "execution_count": 24, "id": "31d709f4", "metadata": {}, "outputs": [], "source": [ "def compute_TOF(a, e, GM, theta_star_1, theta_star_2):\n", " \n", " \"\"\"\n", " Computes the TOF between two true anomalies\n", " \"\"\"\n", " \n", " # Compute E1\n", " E1 = 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_1/2))\n", " if E1 < 0:\n", " E1 = 2*np.pi + E1\n", " \n", " # Compute E2\n", " E2 = 2*np.arctan(np.sqrt((1-e)/(1+e))*np.tan(theta_star_2/2))\n", " if E2 < 0:\n", " E2 = 2*np.pi + E2\n", " \n", " \n", " # Compute TOF\n", " TOF = np.sqrt(a**3/GM)*(E2 - E1 + e*(np.sin(E1) - np.sin(E2)))\n", " return TOF" ] }, { "cell_type": "code", "execution_count": 35, "id": "373a23d6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9.374267720748781" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "compute_TOF(a=orbiter.a, \n", " e=orbiter.e, \n", " GM=planet.GM, \n", " theta_star_1=178*np.pi/180, \n", " theta_star_2=182*np.pi/180)/(60*60)" ] }, { "cell_type": "markdown", "id": "e63e548c", "metadata": {}, "source": [ "## Perform a probe-targeting maneuver" ] }, { "cell_type": "markdown", "id": "c0c78894", "metadata": {}, "source": [ "Perform a probe targeting manuever at theta_star = 178 deg, dV = -90 m/s" ] }, { "cell_type": "code", "execution_count": 51, "id": "7555ae95", "metadata": {}, "outputs": [], "source": [ "orbiter.compute_probe_targeting_trajectory(178 * np.pi / 180, -90)" ] }, { "cell_type": "code", "execution_count": 52, "id": "c504f4f8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Probe approach orbit periapsis alt. km : -716.3110821775309\n" ] } ], "source": [ "# print the probe targeting manuever orbit periapsis altitude\n", "print(\"Probe approach orbit periapsis alt. km : \"+str(orbiter.h_periapsis_probe/1e3))" ] }, { "cell_type": "code", "execution_count": 53, "id": "9b958474", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Entry altitude, km: 1000.0\n", "Entry longitude BI, km: -10.96\n", "Entry latitude BI, deg: 67.49\n", "Atm. relative entry speed, km/s: 20.4018\n", "Atm. relative heading angle, deg: 87.1923\n", "Atm. relative EFPA, deg: -14.0304\n" ] } ], "source": [ "# print the probe atmospheric entry state\n", "print(\"Entry altitude, km: \"+ str(orbiter.h_EI/1e3))\n", "print(\"Entry longitude BI, km: \"+ str(round(orbiter.longitude_probe_entry_bi*180/np.pi, 2)))\n", "print(\"Entry latitude BI, deg: \"+ str(round(orbiter.latitude_probe_entry_bi*180/np.pi, 2)))\n", "print(\"Atm. relative entry speed, km/s: \"+str(round(orbiter.v_mag_probe_entry_atm/1e3, 4)))\n", "print(\"Atm. relative heading angle, deg: \"+str(round(orbiter.heading_atm_probe_entry*180/np.pi, 4)))\n", "print(\"Atm. relative EFPA, deg: \"+str(round(orbiter.gamma_atm_probe_entry*180/np.pi, 4)))" ] }, { "cell_type": "markdown", "id": "3dc78e0d", "metadata": {}, "source": [ "## Perform an orbiter deflection manuever" ] }, { "cell_type": "markdown", "id": "22222aaa", "metadata": {}, "source": [ "Perform an orbiter deflection manuever at theta_star = 182 deg, dV = +75 m/s" ] }, { "cell_type": "code", "execution_count": 70, "id": "1bb4ac4c", "metadata": {}, "outputs": [], "source": [ "orbiter.compute_orbiter_deflection_trajectory(182 * np.pi / 180, 89.38)" ] }, { "cell_type": "code", "execution_count": 71, "id": "ac676ce2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Orbiter deflection orbit periapsis alt. km : 4000.758188017596\n" ] } ], "source": [ "# print the orbiter deflection orbit periapsis altitude\n", "print(\"Orbiter deflection orbit periapsis alt. km : \"+str(orbiter.h_periapsis_orbiter_defl/1e3))" ] }, { "cell_type": "markdown", "id": "f5d98b71", "metadata": {}, "source": [ "## Compute probe entry trajectory" ] }, { "cell_type": "code", "execution_count": 78, "id": "ff05cd41", "metadata": {}, "outputs": [], "source": [ "planet.h_trap= -100e3" ] }, { "cell_type": "code", "execution_count": 100, "id": "897e893a", "metadata": {}, "outputs": [], "source": [ "# Set up the entry probe vehicle\n", "vehicle1=Vehicle('uranus-probe', 300.0, 172.0, 0.0, np.pi*1.26**2.0*0.25, 0.0, 0.40, planet)\n", "# Set up entry parameters\n", "vehicle1.setInitialState(1000.0, -10.96, 67.49, 20.4018, 87.1923, -14.0304, 0.0, 0.0)\n", "# Set up solver\n", "vehicle1.setSolverParams(1E-6)\n", "# Propogate vehicle entry trajectory\n", "vehicle1.propogateEntry (10*60.0,0.1,0.0)" ] }, { "cell_type": "code", "execution_count": 101, "id": "5b30deb2", "metadata": {}, "outputs": [], "source": [ "# import rcParams to set figure font type\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams" ] }, { "cell_type": "code", "execution_count": 110, "id": "388fbf1c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FqISwJUnqNTZq1Ch8fHwA+Prrrzl+/LjGEQkhhBC25+aqo2UDdyBtIaqj52RVdSFsSZJ6jZUuXZoxY8YAoCgK48eP1zgiIYQQwj5aNbo7BOfPf1I0jESIokeS+kJg0KBBBAUFAfDjjz+yd+9ejSMSQgghbK95HTf19V/HDRpGIkTR46x1ADlhNBoJCwtDURTc3d25cOEC77//PpUqVVKviY2NZdCgQfj7+xMZGUlYWBgPP/yw1X3mzZvH33//jV6vp0WLFvTr16+gHyVLJUqU4P3332fgwIEAjB07lm3btmkclRBCCGFbDaq5UsJdR3KKwu7j0lMvhC05RFI/ZcoUvLy8GDVqFAC7d++mY8eOHDlyBEgbttKhQwd69erFgAEDOHjwIM8++yzHjh3D09MTgAULFrBy5Up27dqFxWKhcePGBAQE0KlTJ82eK6O+ffsyY8YMzp07x/bt29m6dSutWrXSOiwhhBDCZlycdTSt6caOwylcijJz+YaJCgEOkYoIUeg5xPCbH3/80apX/pFHHuHo0aPcvHkTgNWrV7Nv3z51ldaQkBA8PDyYM2cOALdv32bcuHH07t0bAL1eT9euXRkxYkShmX3v6upKWFiYuj927NhCE5sQQghhK/+rfXcIzp4TMgRHCFtxiKTe39+fmTNnkpqaCsCuXbuoW7cufn5+QFpSX7NmTTw87k7AadSoEatWrQJgx44dREdHExISYnX+7NmzHDhwoACf5P5effVV6tWrB8Dff//N2rVrNY5ICCGEsK2mNe8m9Yf+S9UwEiGKFodI6sePH8+BAwd49tln2b9/P1OmTLFKePft26cm+OkCAwM5efIkBoOBffv2AVhdExgYCMChQ4cK4AlyRq/XW60sO27cOEwmk4YRCSGEELbVoJqr+vrIWUnqhbAVh0jqn3rqKb799lt2797N//73P2bPnk316tXV81FRUfj6+lq9x9PTE4vFQkxMDFFRUQBW16SPtY+Ojs72c+Pj4602g8H+XxM+//zzPPbYYwD8+++/fPnll3b/TCFE0WEwGDK1XUIUJsGBTvh4pqUfktQLYTsOkdQDXL16lbfeeouSJUvSunVrjh07pp7T6XRWQ28AzGYzAC4uLuh0aSvYZbwm4/nsBAcH4+3trW7h4eE2e57s6HQ6PvroI3V/4sSJJCUl2f1zhRBFQ3h4uFW7FRwcrHVIQljR6XQ0rJ7WW3/tppnrsWaNIxKiaHCIpH7ZsmXs2rWLjz/+mJ07dwLQqVMnjMa01eiCgoKIi4uzek9iYiJOTk74+vqqNeAzXpOYmAhAQEBAtp8bERFBXFycuoWGhtr0ubLTvHlzOnfuDEBkZCSzZ88ukM8VQji+0NBQq3YrIiJC65CEyCTjEJzDMq5eCJtwiKR+0qRJvPLKKwDUr1+fdevWceHCBbZv3w5AgwYN1CE26SIjI2nUqBF6vZ4GDRoAWF0TGRkJQNOmTbP9XC8vL6vNzc0t22ttLTw8HL0+7X+ejz76iBs3bhTYZwshHJebm1umtkuIwqZB1btJ/T/nJKkXwhYcIqmPi4uzSqibNWtGw4YNsVgsAPTo0YMjR45YjXk/evQoL730EgBt2rQhICCAPXv2WJ2vXbs2tWrVKqCnyJ2aNWvSt29fABISEpgyZYrGEQkhhBC2UavS3aGvpy8bNYxEiKLDIZL67t278+OPP6r7iYmJ6PV6Hn/8cQA6dOhA3bp1Wb9+PZBWDcdgMKgrtLq4uDB27Fi1Yo7JZGLlypVMmzatYB8klyZNmqTOA/jss884d+6cxhEJIYQQ+fdwhbtJ/b+XJKkXwhZ0igOscJSSksKIESMwGo3UqlWLqKgoevfuzcMPP6xec/XqVYYPH07FihW5du0aYWFhVKlSxeo+H3zwAVevXsVgMPDcc8+pQ3ruFR8fj7e3N3FxcZp/dT1+/Hi1zOUrr7zCihUrNI1HCOFYClN7VpCK63M7kordIrh604y/t57IHypqHY4QhVZO2zOHSOoLWmH6ZRAfH0+1atXU0pt///03jRs31jQmIYTjKEztWUEqrs/tSJ4dFclvh1IAuP5DMH7eThpHJEThlNP2zCGG3xRnXl5evP/+++r+mDFjkL/DhBBFVUpKCnPnzqVZs2ZZnn/hhRfQ6XTqlnGulHAsNTIMwTkl4+qFyDdJ6h3AW2+9RdWqVQHYvn07mzdv1jgiIYSwPZPJxIoVK1iwYIFaoSyjU6dO4eLiwuzZs5k9ezYLFizINvkXhV+NihmSehlXL0S+OWsdgHgwV1dXpk6dyquvvgqk9dY/++yzaslLIYQoCpydnenduzenTp1i5cqVmc7Pnz+f+fPnExgYqEF0wtYelp56IWxKskIH0bVrVxo1agTAkSNH+PbbbzWOSAgh7MPd3T3TsWvXrrF48WLatm3LrFmzrEoYC8dUI/huv+KZyyYNIxGiaJCk3kHo9Xo++ugjdX/8+PGkpKRoGJEQQhScf/75h7Zt2xIVFcWIESNo1qyZLMrn4IIDnHG5k9efuyo99ULklyT1DuTpp5/mueeeA+DSpUt88sknGkckhBAFo3Xr1vzwww9cunSJBQsWcOLECXWBvvuJj4+32qSHv/BwctJRuUxaVn/umkmKQAhxh8FgyNR25YRdkvqYmBh73FYA06ZNQ6fTATB16lRiY2M1jkgIIQqOTqejf//+zJs3j59//pkrV67c9/rg4GC8vb3VLTw8vIAiFTlRtVzauPqkFIXrsWaNoxGicAgPD7dqt4KDg3P0vnwl9RaLhWvXrnHp0iV1O3/+PB988EF+bivuo379+vTs2ROA2NhY+QUlhCiW+vbtS2BgIBcvXrzvdREREcTFxalbaGhoAUUocqJaubvj6s9elXH1QgCEhoZatVsRERE5el+ek/pvv/0WPz8/KlSoQJUqVdStWrVqzJ8/P6+3FTkQFhaGm5sbAHPnzuXChQvaBiSEKJY2bNjAhg0bOHr0KABffvklDRs2pGvXrkRFRdn1s52cnKhUqRIVKlS473VeXl5WW3rbKQqHqkF3k/pzktQLAYCbm1umtisn8pzUDxo0iK5du7Jx40a2b9+ubtu2bePFF1/M621FDlSqVIkhQ4YAkJqaKj1PQghNvPjii5w9e5bKlSvz+++/069fPwICAnjsscfs3i4lJCQQHBxMxYoV7fo5wr6qlbtb1vLsNZksK0R+5LlOvZ+fH+Hh4fj6+mY6l9OxPyLvxo4dy5dffkl0dDQrV65k6NChPProo1qHJYQoRnr16sWgQYOAtK+Lq1Spws8//4y7u7vVSti5ZTQaMZmse20HDhxInTp1eOutt0hOTmb06NFMmzYtX/EL7VUtJz31QthKnnvq58yZw8aNG7M8d+bMmTwHJHLG29ubSZMmqfsjRoyQygFCiAKV3qmzcuVK9uzZQ3h4uFpjfu/evXm65w8//MC6deu4du0ac+bMUYfxeHp68t577/HQQw8xePBgxo8fT/Xq1W3zIEIzGYffyJh6IfJHp+QxE4yOjqZPnz74+/tbHbdYLOzcuZNz587ZJEAtxMfH4+3tTVxcXI7HMWnBaDRSr149Tp06BcDq1avp0qWLxlEJIQoTe7ZnCxYsYNGiRRw+fJiOHTuyevVqzpw5w0cffcSXX36J2axdNRNHaccFVOwWwdWbZgJL67m6WoZTCXGvnLZneU7q//e//3H48GEaNGiAh4eHetxisXD48GHi4uLycttCwZF+Gfz888907NgRgGrVqnHixAlcXV01jkoIUVjYuz27cuUKUVFRPPLIIwCcOHGChIQEAE2HBDpSO17ctRx2jT//SVs/IHZdRTxLyBI6QmSU0/Ysz2PqT506xV9//aU25BmtWLEir7cVufT888/z1FNP8dtvv3H27Fk++eQThg0bpnVYQogiqFevXgQHB/PSSy+pbX/58uUpX768ek3t2rW1Ck84qGrlXNSk/tw1Ew2qSceUEHmR5z+HX3vtNUqWLJnluaeffjrPAYnc0el0zJw5U12QavLkybL4lxDCLr766isGDhzIzp076dWrF+PGjePgwYNahyUcnHVZS6mAI0Re5auk5YoVK6wWnkpffEoqEhSsRx55xGpBqsmTJ2sckRCiqCpfvjxDhgzhq6++4p133uHPP/+kV69ejB07lgMHDmgdnnBAsgCVELaR5zH1VapU4dKlS5mOK4qCTqfTdIJUfjniWMzLly/z8MMPc/v2bVxcXDhx4oRUhhBCFFh7dvXqVX744Qf+/vtvypcvT5cuXWjcuLHdPu9BHLEdL672/Wug+bvXABjwfCk+Her/gHcIUbzYfUz922+/jdlspmnTpjg7372NyWRi4cKFeb2tyKMKFSowYsQIpkyZgtFoZMyYMfzwww9ahyWEKCbKlSun1qy/du0aX375paZJvXAc1aSspRA2keek/o033gAgMDAw0zkXF5dMx4T9jR49moULF3L9+nXWrFnDH3/8weOPP651WEKIIsxisXD9+nWMxrtjoc1ms1pfXogH8fXS411SR1ySwvlrktQLkVd5HlO/YcOGLBN6gDVr1uQ5IJF3np6eVuPpR4wYgcVi0TAiIURR9u233+Ln50eFChWoUqWKulWrVo358+drHZ5wEDqdjqpBaZ2BF6+bMJpkIUUh8iLPSf3ixYszjZs3Go288847zJs3L9+Bibzp06cPdevWBeDvv/9m5cqVGkckhCiqBg0aRNeuXdm4cSPbt29Xt23btvHiiy9qHZ5wIFXvTJY1W+BSlPTWC5EXeR5+YzQaGTBgAAsXLkSv13P27Fm6devGv//+S4MGDWwZo8gFJycnZsyYwXPPPQdAaGgoL7zwgtUCYUIIYQt+fn6Eh4fj6+ub6VxwcLAGEQlHZVXW8pqJauVkGK8QuZXnnvqtW7fSu3dv+vfvz9dff80jjzyCoigcOnSI33//3ZYxilxq06YNbdq0AeDSpUvMmTNH24CEEEXSnDlz2LhxY5bnzpw5U8DRCEeWPvwGpFa9EHmV5576UqVK0aJFCwDat29P//79mTZtGs7Oznz33Xd07drVZkGK3JsxYwZbtmzBYrEwdepU3njjDYKCgrQOSwhRhDz66KP06dOHbdu2WR23WCzs3LmTc+fOaRSZcDRVpVa9EPmW46S+Xbt2pKSkZHmuUqVKHDp0iNatW2M2mzl69Khdk/rNmzezadMmHnroIZ588klq165NbGwsgwYNwt/fn8jISMLCwnj44Yet3jdv3jz+/vtv9Ho9LVq0oF+/fnaLUWt169ZlwIABfP755yQlJTF27FiWLFmidVhCiCKkQ4cOHD58mAYNGlgN8bNYLNy8eVPDyISjybgAlVTAESJvcpzU+/j4cPnyZSpXroxebz1qp1KlSuprs9nM+fPnbRdhBoqiMHLkSBISEvj000/V+viKotChQwd69erFgAEDOHjwIM8++yzHjh3D09MTgAULFrBy5Up27dqFxWKhcePGBAQE0KlTJ7vEWhiEhYWxcuVKbt26xdKlS3nnnXekbrQQwmZOnTrFX3/9xSOPPJLp3IoVKzSISDiqCgHOODuByQznrsnwGyHyIsdJ/cCBA6lduzY+Pj4PvHbdunX5Cio748eP5/Dhw2zevBknJyf1+OrVq9m3bx9btmwBICQkBA8PD+bMmcP777/P7du3GTduHOHh4QDo9Xq6du3KiBEj6NixIzqdzi7xai0gIICJEycybNgwAIYOHcoff/xRZJ9XCFGwXnvtNUqWLJnluaeffrqAoxGOzNlJR+Wyzvx3xcTZqyZ1dXohRM7leKLsY489lqOEHqBjx455Dig7e/fuZfr06SxZssQqoYe0pL5mzZpWX/82atSIVatWAbBjxw6io6MJCQmxOn/27FkOHDhg81gLk3feeYcaNWoAsGvXLvVnIoQQ+TVo0CBWrFjBpUuXrLbz588zbdo0rcMTDia9Ak7ibYXoOFljRYjcynP1m4I2efJkmjZtytKlS2nVqhWPPfYY27dvB2Dfvn34+flZXR8YGMjJkycxGAzs27cPwOqa9IWzDh06VEBPoA0XFxdmzZql7o8aNYrk5GQNIxJCFBVt2rQhLCzMauGp9MWn5s6dq3V4wsFkrIBzVirgCJFrea5+U5CSkpLYsmULnTp1YsiQIYSGhvLaa6/Rrl07Tp48SVRUlFUvPKStrmqxWIiJiVGXK89YSzl9rH10dHS2nxsfH2+17+bmhpubm60eq8C0a9eO5557jk2bNnH58mWmT5/OxIkTtQ5LCGEHBoMBg8Gg7t/bjtnS22+/jdlspmnTpuocJwCTycTChQvt9rmiaMpYAefcNRPNamsYjBAOyCGS+nPnzpGamkq3bt3w9vYGYOrUqXz//ffMmzcPnU6XaXGl9NVuXVxc1HF5Ga/JeD479y6eMnHiRCZNmpTv59HCrFmz2Lp1KyaTiWnTptGnTx9ZHEaIIig8PJwPPvigQD7rjTfeAO5+85nR/dpWIbJSTcpaCpEvDjH8JjExEUirjZ/uoYceIjg4mNOnTxMUFERcXFym9zg5OeHr66vWZ894Tfo9AwICsv3ciIgI4uLi1C00NNRmz1TQatWqxTvvvAPA7du3ee+99zSOSAhhD6GhoVbtVkREhN0+a8OGDVkm9ABr1qyx2+eKoqlKhuE356UCjhC5ZvOkfubMmVStWpUhQ4awdu1am9yzQoUKAMTExFgdL1OmDL6+vjRo0EAdYpMuMjKSRo0aodfradCgAYDVNZGRkQA0bdo028/18vKy2hxx6E1GEydOVOcVLF++nL/++kvjiIQQtubm5pap7bKXxYsXq996pjMajbzzzjvMmzfPbp8riqb0ibIgPfVC5IXNk/rPPvuMpKQk5s6di5+fH/v378/3PYODg6lfvz67d++2Oh4TE8MzzzxDjx49OHLkiNU40qNHj/LSSy8BaZO5AgIC2LNnj9X52rVrU6tWrXzH5yh8fHwICwtT94cMGYLFIhUGhBB5YzQaGTBggNqOnD17lv/9738sW7ZM7UwRIqdKeegp45OWlpyTBaiEyDWbJ/U///wz69evB+CJJ57IcRnMB5k2bRorVqxQJ7bu378fDw8PunfvTocOHahbt676ufv27cNgMDBw4EAgbWzn2LFj1W8OTCYTK1euLJYl1wYMGEDdunWBtJ/h119/rXFEQghHtXXrVnr37k3//v35+uuveeSRR1AUhUOHDvH7779rHZ5wQOlDcK7dNJOcIp1OQuSGTlEUJa9vTkhI4NKlS9SpU4fY2FiSkpLUoTL28N1337Fq1SoaNmzIpUuXmDhxovp5V69eZfjw4VSsWJFr166pZdYy+uCDD7h69SoGg4HnnnuOV155JcvPiY+Px9vbm7i4OLt+da2Vbdu20apVKwCCgoI4ffq01XwFIUTRURDt2Z9//kn79u3p168f06ZNw9nZme+++46uXbva5fNyoqi340XV6x/e4NutSQAcWVSOOpVdNY5ICO3ltD3Lc1K/Z88eOnbsSMOGDdm8eTOKorBq1Sp27tzJzJkzM1WjcSTF4ZdB586d+emnnwAYO3YsU6dO1TgiIYQ92LI9a9euHSkpKVmei46Oxt/fH0irLnb06FFiY2Pz9Xn5URza8aLog2WxTP46rajF2rBAOjQvoXFEQmgvp+1ZnoffDB06lE6dOqlj0nU6Ha+88gr+/v68++67eb2tKCAzZsxQS87NnDmTc+fOaRyREKKw8/HxwWw2ExwcTKVKlay2Ro0aWe2nrwUiRG5kXIDqnFTAESJX8lynvnTp0ixcuDDTuHR/f3/mz5/P4sWL8x2csJ/q1aszdOhQpk+fjsFgYPjw4fz4449ahyWEKMQGDhxI7dq1czRXat26dQUQkShqrBagkgo4QuRKnnvq69Spk+lYUlISCxYsUBeIEoXb+PHj1Rr+P/30Exs3btQ4IiFEYfbYY4/luPhBx44d7RyNKIqsFqCSCjhC5Eqek/rmzZszf/58oqOj2bdvH5999hn169fnxIkTjB071pYxCjvx8vJi+vTp6v6QIUOsyoIKIYQQBamMjxMl3NNWgZcFqITInTwn9V26dKF+/focOnSIDh06EBoaStmyZfnpp5/o37+/LWMUdtS9e3datGgBwJkzZ5g9e7bGEQkhhCiudDodVcum9dafjzRhNue5QJ8QxU6+6tQ/8cQTbN26levXr3Pr1i127drF448/nm11BFH46HQ65s2bh16f9k9hypQpXL58WeOohBBCFFfp4+pTjXAl2vyAq4UQ6XI8UfbSpUsPvMZisbB7927i4+N588038xWYKDgNGzbk7bff5pNPPiEpKYlRo0axYsUKrcMSQghRDKUtQHUbSKuAU7FMnmt6CFGs5Lin/vHHH6dKlSr33apVq0aPHj34+OOP7RmzsIOwsDC1xvTKlSvZsWOHtgEJIRzWzJkzqVq1KkOGDFFX8s6plJQU5s6dS7NmzTKdu3jxIt26dWPYsGH06NGDyMhIW4UsCpGMk2XPyWRZIXIsx3/+vvXWW7i5ufHII4+g0+mYPXs2QUFBvPDCC7i7u6vXbdq0ifLly9slWGE/vr6+/N///R8DBgwAYNCgQRw8eFCtZS+EEDn12WefkZSUxNy5c9m5cyf79++ncePGD3yfyWRixYoVLFiwgKSkJKtzycnJPPPMM3z66ae0bt2aNWvW0KFDB/bs2YOTk5O9HkVooGpQhgo4UtZSiBzL8Yqy0dHRAGpvbv/+/Vm4cGGm64xGI0899RR//vmnDcMsWMV1JUKz2UyzZs3Yv38/AHPmzGHIkCEaRyWEyA8t2rOTJ0+SlJSkJvJnz56lWrVqOX7/e++9x8qVK7lw4YJ6bPr06cydO1ed82M2m/H29uazzz6jZ8+eme5RXNvxouD0ZSO137gCQNeWJVg+PlDjiITQls1XlPX391cTeiDbnpGDBw9y4MCBXIQqCgsnJyfmz5+v7k+YMIHr169rGJEQwhGVKlXKqp59bhJ6wOrb33SrV68mJCRE3XdycqJBgwasWrUq74GKQqlyGWfu1G6QBaiEyIU8zz7x9/fn3Xff5Z133qFSpUrExsaydetWxo4dm+VYSOEYHn30UXr37s2SJUuIj48nNDSUL7/8UuuwhBCFwOTJk3nQl7sWi4Xjx49Trlw55s6da5PPNZvNHDhwIFOPfGBgIPv27bPJZ4jCw9VFR3CAExevm2UBKiFyIc9JfVhYGCNHjqRevXpqI68oCjVq1GDRokU2C1AUvPDwcNasWUNcXBxLlixhwIAB8oeaEILff/+d3bt34+/vj16vJzExkZs3b1KmTBmr3vWYmBgqV65ss8+NiYnBbDbj6+trddzT01MdGpqd+Ph4q303Nzfc3NxsFpuwjypBLly8biY2wUJsghkfT5k3IYoPg8FgtRjove1YdvJcp16v1zNr1izOnDnD/PnzmTZtGj/99BP//PNPrr9qFYVLmTJlCAsLU/ffffddzGapFSxEcffOO++wZ88eLl68yPnz52ndujV//fUX165d4/z58+q2YcMGddK9Leh0aSuMenh4WB03m80PnMwfHByMt7e3uoWHh9ssLmE/1YKkAo4ovsLDw63areDg4By9L1+LTwFUqVKFt99+m5EjR9KhQwf+++8/KYdYBAwcOJC6desCcODAARYvXqxxREIIrXXu3FltFyCtAyCrb/GaNGnChx9+aLPP9fPzw9XVlbi4OKvjiYmJBAQE3Pe9ERERxMXFqVtoaKjN4hL2UzVjWUsZVy+KmdDQUKt2KyIiIkfvy/Pwm6effjrTMYvFwoULF2jUqBEtW7bM661FIeDs7Mz8+fPV/x3fe+89XnjhhQf+AhVCFF3pPebprl69SlJSEiVLlrQ6PmvWLBITE236ufXq1SMqKsrqeGRkJE2bNr3ve728vKT6jQOqGnT3G5izV40aRiJEwcvrMME8J/Xnzp3jySefRK+/29lvsViIj4/Hz88vr7cVhciTTz5J9+7dWb58ObGxsYwZM0YmzQohVP369aNOnTp07dqVypUrqwUTdu7cyfDhw236WT169GD27Nnqvslk4uTJk4wcOdKmnyMKh4w99edl+I0QOZLnpP6LL76gTZs2mY5//vnnPPzww/kKShQeM2fO5JdffiE+Pp4lS5bQp08fWrRooXVYQohCoFWrVnz//feMGTOGWbNmYbFY8PHx4YMPPsjXMBej0YjJZJ3I9e3bl1mzZnHw4EFCQkJYs2YNtWvXpkuXLvl9DFEIZVxVVirgCJEzeU7qs0roIa13N31svXB8ZcuWZerUqQwaNAiAt99+W1aaFUKomjRpwvbt20lOTiY5OdlqPZO8+OGHH1i3bh3Xrl1jzpw5dO/encDAQDw9Pfn111+ZMGEClStX5ubNm6xfv97q22JRdJQu5YSPp57YBAvnZPiNEDmS4xVl7/XVV19lOnb79m1Wr17NP//8Q2RkZL6D04qsRGjNbDbTtGlTDh48CMCMGTMYMWKExlEJIXLCnu1ZQkICI0aMIDU1laVLl3Lz5k2+/PJLGjVqlOW8q4Ik7bjjazbwKvtPp6LTQdKGSri66B78JiGKoJy2Z3nuqX/jjTcyHXNxcaFatWoy7rqIcXJy4vPPP+fRRx9FURQmTpxI165dc1xiSQhRNA0ZMoT169fzxBNPAGlVakaNGkWXLl24du0ar732msYRCkdWtZwz+0+noihw4bqJhyvIN8RC3E+ev7ccP348ZrMZi8WibgaDgRMnTtCuXTtbxigKgSZNmvDWW28BkJSUxNChQ7UNSAihuUOHDnHq1CkaN25sdbx169ZMnDhRo6hEUVFFKuAIkSt5Tupr1KiRqbwZwNatW7lx40a+ghKF09SpUwkMDARgzZo1bNiwQeOIhBBaat68OaVLl850/I8//shUflKI3KomFXCEyJU8J/W7du3K8njjxo3p1KlTngMShZePjw8zZsxQ9wcNGsTt27c1jEgIoaXAwECuXbumdvDcunWLUaNGsXz5cl544QWNoxOOrmqGVWXPygJUQjxQrsbUHzt2jClTphAVFcXp06f5999/M11z8eJFUlNTbRbgvWJiYqhZsybfffedujBSbGwsgwYNwt/fn8jISMLCwjKV1Zw3bx5///03er2eFi1a0K9fP7vFWJT16NGDxYsX8/vvv3Pu3DnCw8MJCwvTOiwhhAbGjBnD6NGj+fnnn1m6dCkXLlwgJSWFF154gXnz5mkdnnBwGRegkgo4QjxYrpL6unXrsmDBAl599VVKlSpFpUqVrM7rdDrq1KlD3759bRpkRqNHj7Ya3qMoCh06dKBXr14MGDCAgwcP8uyzz3Ls2DE8PT0BWLBgAStXrmTXrl1YLBYaN25MQECAfKOQBzqdjk8//ZQGDRpgMpmYNm0aPXr0kLUJhCiG3N3d+fjjjxk5ciTHjx/HYDBQu3ZtaQ+ETZT3d8LVBVKNMvxGiJzIdfUbLy8v1qxZw1dffUX//v3tEVO2/vjjDywWi9Wx1atXs2/fPrZs2QJASEgIHh4ezJkzh/fff5/bt28zbtw4wsPDAdDr9XTt2pURI0bQsWPHLOcFiPurXbs2I0eO5MMPPyQ1NZV33nmHzZs3y89SiGJo165dXLx4ke7du3Pz5k22b99O5cqVcXV11To04eCcnHRUKevMqQgTZ6+ZsFgU9Hr5PSNEdvI0pt7Nze2+CX16PXNbSk1NZdasWYwZM8bq+OrVq6lZsyYeHh7qsUaNGrFq1SoAduzYQXR0NCEhIVbnz549y4EDB2weZ3Exfvx49ZuarVu3qj9vIUTxsXTpUp544gmWLl0KpJW0bNKkCZ06deLChQuaxiaKhvQylrcNChE3zBpHI0ThluOe+rlz51KnTh1atWoFwJQpUzL1mkPaQkW//PKLzRPmadOmMXToUNzc3KyO79u3j8qVK1sdCwwM5OTJkxgMBvbt2wek/bLJeB7SyrHdW4pN5EzJkiX5+OOP1SFMw4YN47nnnsuyEoYQomiaMWMGX331FadPn1aPVa5cmdatW9O3b1+2bdumYXSiKKhR0YWfd6cVZPj3kpFKZfK8vI4QRV6O/9+xbNky2rRpoyb1f/75Jzt37sTf3x8nJyf1OrPZzLVr12wa5JkzZ4iMjOTJJ5/M1PsTFRVl1QsP4OnpicViISYmRi2r5uvra3UeIDo6+r6fGx8fb7Xv5uaW6Y+K4qxjx4507NiRdevWERkZyXvvvcfnn3+udVhCFGsGgwGDwaDu39uO2VLdunV57bXXmDZtmtXxxMRE9u7da7fPFcVHzeC7k2VPRRhp08TjPlcLUbzlePjNwYMH1XHpkFbOcOfOnVy6dInz58+r26VLl5g/f75Ng5wwYQKTJ0/O8pxOp7MaegNpf1hA2gq36eO8M16T8fz9BAcH4+3trW4Zn1+kmT9/PqVKlQLgiy++4M8//9Q4IiGKt/DwcKt2y54rP5cvXx7Aaj7N0aNHmTNnDjVr1rTb54rio0bFDEn9JamAI8T95LlOfYsWLbIcunL58mXefPPNfAWV0bJly2jfvr1VT3tGQUFBxMXFWR1LTEzEyckJX19fgoKCAKyuSUxMBCAgIOC+nx0REUFcXJy6hYaG5udRiqTg4GCmTp2q7g8YMMCql1AIUbBCQ0Ot2q2IiAi7fVavXr3o378/e/fu5aOPPqJbt240atSI1NRU5s6da7fPFcVHxp76fyMkqRfifvKc1GeX4N68eZPx48fnOaB7LV26lJ49e6LT6dDpdFSpUgWAp556ipYtW9KgQYNMKxdGRkbSqFEj9Ho9DRo0ALC6JjIyEoCmTZve97O9vLysNhl6k7V33nmHJk2aAHDy5MlMX8ULIQqOm5tbprbLXho0aMBHH33EI488woEDBzAYDIwePZrTp0/z2GOP2e1zRfHh4+lEGZ+0VOXfS/ZbA0eIoiBXM05OnDjB/v37ATh16hRff/01iqJYXXPq1Ck+/fRTpkyZYpMAFy5cqPasA1y9epX27duzcOFCWrZsybFjx3jllVcwGAxq0n306FH69OkDQJs2bQgICGDPnj3UqlVLPV+7dm11X+SPk5MTCxcupFGjRpjNZqZOnUrXrl3l63chigEfHx+bduQIca8awS5cjzVwPdZCbIIZH0+nB79JiGIoV0l9rVq1+Oeff3jrrbeIi4vjt99+y3RNyZIlGTVqlM0CrF69utV+enWV6tWrU716dapUqULdunVZv349L774Ivv27cNgMDBw4EAgbdz82LFjWbt2Lb1798ZkMrFy5UrpTbaxBg0aMHLkSKZNm0ZqaioDBgxgx44d6PV5/jJICFHIWSwWPv/8cxYsWMDZs2dxc3PjscceY9y4cQ/8JlSInKpZ0YWdR9OGdZ6KMNKstiT1QmQlV0m9TqejW7du1K5dmy+//JLZs2fbK64cc3JyYt26dQwfPpw9e/Zw7do1tm3bRsmSJdVrhg4dSlxcHG+++SYGg4ExY8bw/PPPaxh10TRhwgS+++47zp8/zx9//MGXX35Jv379tA5LCGEnI0aMYO7cuVSuXJkuXboQGBhIZGQkHTp0YOHChXTs2FHrEEURUOOeCjjNartrGI0QhZdOuXf8TA4lJCSopSHvFRkZSdmyZfMVmJbi4+Px9vYmLi7OruNRi6LNmzfTpk0bIO1blX///ZcyZcpoHJUQxZc92zM/Pz969erFjBkzrEobx8fH06dPH1avXm3Tz8sNaceLjk37knl+bNq8uFHdvAjvn3XhDCGKqpy2ZzkeG3Hp0iWrLTY2NtOx9PKWH374oU0eQjie1q1b06NHDwBu3brF0KFDtQ1ICGE3FStW5I033rBK6CGtyEDdunWtjhmNUrlE5E2tSq7q61NSAUeIbOU4qX/iiSeoUqXKA7dq1aoxb948e8YsCrlZs2apJUhXrlzJhg0bNI5ICGEP3377LT/99FOm49HR0cTExFgdk4XpRF4FBzjh4Za2FsLJi5LUC5GdHA+/+eijj9Dr9YSEhGTqlcnIZDKxaNEiVqxYYbMgC5p8bZt/y5Yt44033gCgUqVKHDt2TF2kSghRcOzZnjVq1IirV6/i5OSEq2tab6rZbOb69et4eXmp/583Go1cu3YNk8lk08+/H2nHi5ZHB17lwOlU9Hq4ta4iJdylCIMoPnLanuV4omz//v0xm834+/s/8FopZSh69erFV199xfbt27l48SLvv/9+oZhYLYSwnaeeeooLFy5Qt25dq1Vl72U0Glm3bl0BRiaKmnpVXDlwOhWLBU5cNNK4hqwbI8S9cpzU+/j45Pimf/31Fy+//HKeAhJFg06n44svvqBevXqkpKQwd+5cXn75ZZo3b651aEIIGxk4cCDOzs5UrFjxgdfKYlQiP+pVvVsB559zqZLUC5EFm39/tXHjRpvWqReOq3r16oSFhQGgKAp9+vQhJSVF46iEELZStWpVNaGPiYlhzZo17N69O9OihABt27Yt6PBEEVKv6t3Jsv+cl5VlhciKTZL6GzduMH36dGrWrEn79u2JiIiwxW1FETBs2DCaNGkCpK02/MEHH2gckRAirwYMGMCAAQMYOHAgCxcuVI9v3ryZqlWr8vLLL9OiRQsef/xxbt26pV2gosipV+VuUn/0nEyWFSIr+UrqN23aRJcuXahQoQLvvfceQUFBTJ8+naeeespW8QkH5+zszJIlS3BxSfvqdPr06ezfv1/jqIQQebFo0SLOnj3LuHHj6N+/PwBXr17llVdeITExkalTp/L333/z6KOP8t5772kcrShKAko7UdY3rUjHP+dSs/w2SIjiLlcrygJERESwePFilixZwuXLl6lcuTL16tVj7dq1BAcHA/I1q7BWp04dJkyYwPvvv4/ZbKZ3794cOHBArZYhhHAMpUqV4ocffqB06dLqsZEjRxIXF8eECRPURD4kJERdhE4IW6lXxYXIGDM34y1ExpgJ8st1CiNEkZbjnvrvv/+e5557jqpVqzJ16lRCQkLYsGEDZ8+epV69empCD1C7dm27BCsc15gxY3jkkUcAOHbsGP/3f/+ncURCiNx6/PHHrRL6Xbt2sXLlSqpXr87YsWOtrnVzk4mMwrYyjquXIThCZJbjpF5RFIxGI56enqxfv561a9eqPTH3K2UmBICLiwtffvklzs5pPStTp07lyJEjGkclhMgNvf7urwyDwcBbb72FTqdj/vz56hA7AIvFwqFDh7QIURRh9TNOlj0nk2WFuFeOk/quXbuybds29u7dy9atW3n55Zf5/vvvMZvN9oxPFCENGzYkNDQUSFukrHfv3rJ0vBAOpHnz5vTr148NGzbw4osvcvz4cfr378+zzz5rdd3777/P1atXNYpSFFUZe+qPnJWkXoh75Xqi7EMPPcRHH33E8uXLMZvN9OzZk8OHD3P+/Hn1mt27d9s0SFF0jB8/nrp16wJw6NAhZsyYoXFEQoicGjNmDOXLl6d///7s2bOHkSNH8sknn6jnv/rqK1544QW++uorypUrp2GkoiiqVdEF1ztfCB04bdA2GCEKIZ1igynkp0+fZuHChZw9e5YWLVrw448/snPnTlvEpwlZXty+/v77b5o1a4bFYsHV1ZUDBw6oib4QwraKa3tWXJ+7qPvfu1f5+9+0XvroH4MpXcpJ44iEsL+ctmc2qVP/8MMPM336dFasWEHJkiU5efKkLW4riqgmTZqoC5SlpqbSo0cPUlPlq1QhxIMZDAaCgoLQ6XTodDr8/PxITk7WOixRQJpkWEn2wGn5vSFERjatB+Xm5sabb75pVR1BiKxMmjSJ9evXc+zYMY4cOcKkSZOkIo4Q4oGWLVvGG2+8QZkyZQCoUaMGJUqU0DgqUVAa13ADEgDYf8rAMyEe2gYkRCFilyKv3bp1s8dtRRHi7u7O119/TdOmTTEajUybNo3nn3+e5s2bax2aEKKQslgs/Pbbb6xYsULrUIRGGte4O1l2/ynpqRciI5sMvxEiLxo2bMgHH3wApP2y7tmzJ4mJiRpHJYQorNauXctPP/3Es88+y5o1a7QOR2igRgUXSnmkldHef0omywqRkST1QlOjR49We+fPnTvHiBEjNI5ICFFYXb58mZYtW7Jv3z66dOlCz549sVgsWoclCpCTk46Qh9J66yNumLkeK2W1hUgnSb3QlJOTE1999RUlS5YEYMGCBaxfv17jqIQQhdGQIUPYsGEDV69eZeDAgXzzzTfMmTPnvu+Jj4+32gwG6d11dE1q3p0su/t4ioaRCGEfBoMhU9uVE5LUC81Vq1aNWbNmqft9+/YlOjpaw4iEEIVZyZIl+eSTT3j11Vf5/PPP73ttcHAw3t7e6hYeHl5AUQp7aVHXXX2986j8kSaKnvDwcKt2Kzg4OEfvs0md+qJG6hsXPEVReP7559mwYQMAHTt25Mcff0Sn02kcmRCOrSi3Z8eOHSMkJCTLkrjpzx0REWH13G5ubri5uWW6XjiO2AQzgS9GoCgQ8pAr+z6Thc5E0WIwGKy+VYyPjyc4OLhg6tQLkV86nY5Fixbh5+cHwLp166xWqhRCiHtVrVqVChUq3PcaLy8vq00Sesfn4+lEvSppS8sePptKXKLMqxBFi5ubW6a2KyckqReFRlBQEMuWLVP3R4wYweHDh7ULSAhRqO3fv58+ffpoHYbQwBP104bgWCywS8bVCwE4SFIfGRlJly5d8Pb2pnr16nz22WdW5y9evEi3bt0YNmwYPXr0IDIy0uq8oiiMGzeO/v3789prr/Hzzz8XZPgiF9q3b8+wYcOAtNVmX3nlFSlzKYTg1q1bvPDCC2zduhWAs2fPsmTJEkaPHq1xZEILj9e/O67+j6OS1AsBDpLU9+nTh3r16vHpp59SuXJlBg4cyNdffw1AcnIyzzzzDH379mX27Nm8+OKLdOjQAbP5bpmrcePGcf78eRYuXMjChQt555132L9/v1aPIx4gPDyckJAQAE6dOsWgQYM0jkgIoTV3d3eSkpJ4/vnnCQkJYcmSJXz++ee4uro++M2iyHm83t2kfvshSeqFAAeYKHv8+HFOnjzJSy+9BIDJZKJu3boEBgayc+dOpk+fzty5c7l8+TIAZrMZb29vPvvsM3r27MmVK1eoWrUq69evp1WrVgC89dZbnDlzhm3btmX5mUV5YpmjOHPmDCEhIWov/TfffMNrr72mcVRCOJ7i2p4V1+cuThq/eZXDZ9MmSV/5PpgyPk4aRySEfeS0PSv0PfW+vr506dJF3Xd2dqZt27bExMQAsHr1arVXF9Lqnjdo0IBVq1YBaRMuU1NTra5p1KgRv/32G1FRUQX0FCK3HnroIatSdW+99RYnTpzQMCIhhBCFyXOPeqivf/37toaRCFE4FPqkPigoKFNZQ5PJRLNmzTCbzRw4cECtmJIuMDCQQ4cOAbBv3z70ej0+Pj5W5xVF4ciRI/Z/AJFnr732Gm+88QYAiYmJvPDCC8TFxWkblBBCiEKhbdO7Sf2GPckaRiJE4VDok/qs/PbbbwwfPpyYmBjMZjO+vr5W5z09PdXFi6KioihdurTVHwaenp4AD1zgSFYi1N4nn3xCgwYNADh9+jSvv/66LAsvxH3kdSVCIRzNo7Xc8PFMS2O2HLiN0VSoRxMLYXcOl9SvXbuWVq1aUbt2bTVR9/DwsLrGbDbj4pJWw1an02V5HlCvyY6sRKi9EiVKsGbNGkqXLg3ATz/9xIcffqhtUEIUYnldiVAIR+PspKN147Tf73FJCjuOyIRZUbw5VFIfGxvLN998w0cffQSAn58frq6umYZkJCYmEhAQAKQN38nqPKBek52IiAji4uLULTQ01FaPInKhatWqLF++XP0jbvz48WzatEnjqIQonEJDQ63arYiICK1DEsJuXmhRQn39/Y4kDSMRQnsOk9SbzWZGjx7Nxx9/rJYw0+l01KtXL9OE18jISJo2bQpAgwYNSExMJDk52eq8s7Oz1eTZrMhKhIVH27ZtCQsLA9LWHejWrRv//POPxlEJUfjkdSVCIRxRu0c9KOme1uGz9s9kUo0yBEcUXw6T1IeGhjJw4EDKly+vHouKiqJHjx7s2bNHPWYymaxKYHbr1g0XFxf27t2rXnP06FFat26tjq0XjmHs2LF07twZSJvv0L59e65evaptUEIIITRTwl1Px+ZpvfWxCRa2HJAqOKL4coikfty4cVgsFq5fv86mTZv45ZdfGD16NPv376dv374oisLBgwcBWLNmDbVr11bLYAYEBDBw4EDWrl0LQEJCAhs3bmTy5MmaPY/IG71ezzfffEPjxo2BtOFR7du3JyEhQePIhBBCaKXrUyXV199skRXIRfFV6BefmjFjBqNGjcp03MfHh+vXr+Pi4sLJkyeZMGEClStX5ubNm0yfPt2qzKXRaGT48OHodDpiY2N54403eOaZZ7L9TFm0pHC7fv06zZo148KFCwA89dRT/PLLL5QoUeL+bxSiGCqu7Vlxfe7iKNWoUOnVCG7csuDiDBdWyEJUomjJaXtW6JN6Lcgvg8Lv5MmTNG/enFu3bgHQqlUr1q1bl6nSkRDFXXFtz4rrcxdXoQtjmL4qrXzrlD6lea97aW0DEsKGisyKskJkpVatWmzatEmdF7F161Y6duwoQ3GEEKIYGvC8J+nL0Sxcn4DJLP2VoviRpF44rEcffZRff/2VUqVKAWmJ/RNPPCGTZ4UQopipEuTCc03Svqm9eN3Mqt+kvKUofiSpFw7tf//7H7/++is+Pj4AHD58mGbNmrFv3z6NIxNCCFGQRnbzVl+HL4/DLL31opiRpF44vObNm7Nr1y4qV64MpFXFadGiBXPmzEGmjAghRPHwZAN3WtRLW0/m30tGVu+U3npRvEhSL4qEWrVqsXv3bpo3bw6kVTwaNmwYTz/9NKdOndI4OiGEEAVhXI/S6uuxi2K5bbBoF4wQBUySelFklC1blh07djB69Gj12I4dO6hfvz6hoaHExMRoGJ0QQgh7axXizjMh7kDa2PqZ38drHJEQBUeSelGkuLi4MG3aNH799Vd1OE5qaioffvghVapUYeLEiURGRmobpBBCCLvQ6XTMfscXpzvZzYfL4zgVYdQ2KCEKiCT1okhq3bo1x48fZ/To0bi6ugJpdV7DwsKoWLEir776Kps3b8ZolMZeCCGKktqVXHn3hbRa3impCq9/eAOjSeZXiaJPknpRZJUoUYJp06Zx5swZ+vXrh5NT2gqDRqORlStX0qZNG4KCghgwYADr1q0jPl6+phVCiKJgcu/S1Ah2BmD/qVQmLInVOCIh7E9WlM2CrERYNF28eJEvvviChQsXEh0dnem8s7Mzjz76KK1ataJ58+Y0bdqU0qVLF3ygQthQcW3Piutzi7v+/tdAi8HXMN+ZK/tVqD/dnymlbVBC5EFO2zNJ6rMgvwyKtpSUFNavX8/333/Pzz//THJycrbX1qxZk2bNmtGkSRPq169P/fr15d+EcCjFtT0rrs8trM1fG8/QT9KKJLi5wM//V4anH/HQOCohckeS+nyQXwbFR1JSEtu2bWPLli1s3ryZ06dPP/A9VapUoX79+jRo0ID69etTu3ZtqlWrpo7dF6IwKa7tWXF9bmFNURQGzrnJwvWJAJRw17EhvAwt6rlrHJkQOSdJfT7IL4Pi69KlS/z555/s2bOHPXv2cOjQIUwm0wPf5+TkRNWqValZs6bVVqNGDfz8/AogciGyVlzbs+L63CIzo0nh5Q+i+GX3bQA8S+hYExbIUw2lx144Bknq80F+GYh0t2/f5tChQxw+fJijR49y5MgR/vnnH5KScr5Sob+/PzVq1KB69eqZNhmzL+ytuLZnxfW5RdZSUi288H4UWw6kAODqAl+O8ueVp2WMvSj8JKnPB/llIO7HYrFw7tw5jh49yj///MOpU6f4999/OXXq1H3H52fF398/y2S/evXq0sMvbKK4tmfF9blF9pJTLHQLu8HGfbfVY6O6eRHW2wcXZ52GkQlxf5LU54P8MhB5YbFYuHz5sprg//vvv+p29erVXN/Px8cnU6JfpUoVqlSpQrly5dDrpSKteLDi2p4V1+cW92cyK7w79yaLNiSqx/5Xx40lo/2pXt5Fw8iEyJ4k9fkgvwyErSUlJXH27Fn+++8/dTtz5gz//fcfly9fzvX9XF1dqVSpkprk37v5+fmh00nPkyi+7VlxfW7xYIqi8PGaeMYsiMVkTjvm5gLvdS/NqG5euLtKh4koXCSpzwf5ZSAK0u3btzl37lymZP+///7j0qVL5OX/oqVKlaJy5cpWiX7FihWpUKECwcHBBAYGqotxiaKtuLZnxfW5Rc7t+9dA9yk3uBB5txhChQAnQrt70/s5T1xdpGNEFA6S1OeD/DIQhYXBYOD8+fNqsn/hwgXOnz+vbrmZsJuRs7Mz5cqVIzg4mAoVKqhbxv2yZctK4l8EFNf2rLg+t8idxNsWwr66xdwf4tVFqgDK+zvR/3lP+rYtRZCfs3YBCoEk9fkivwyEI1AUhejoaKsk//z582rif/HiRVJTU/N8f71eT2BgIGXLllW3MmXKWO2nb97e3jLcp5Aqru1ZcX1ukTf/nEvl/SWxatnLdM5O0KaJBy89UZIOzT0oXUo6OkTBk6Q+H+SXgSgKLBYLV69eVRP9iIgILl++rG4RERFER0fb5LPc3NzUhD8gIICAgAD8/f2z3Xx8fGSibwEpru1ZcX1ukT/7/jUQ/u0t1u+9jcVifc7FGZrXcefpR9x5OsSdxg+7SdUcUSAkqc8H+WUgiouUlBSuXLmSZcJ/5coVrl+/TmRkZI4W4MoNvV6Pn59flgm/r68vPj4+WW6enp7yjUAuFdf2rLg+t7CNi9dNLFyfwFe/JnL1pjnLa9xcoH41Vxo95EbIw67UruTCQ+Vd8POW3nxhW5LU54P8MhDiLovFQmxsLJGRkWqSf++WfvzGjRt5mtibU05OTpQuXTrLhD+rPwZKly6Nt7c33t7eeHl54eJS/ErWFbX2bPv27Xz++ecEBgbi4uLC9OnTcXbOPOa5qD230IbForD7hIEfdibx81+3OR/54A4OX0891cs7U62cC+X8nSjn50Q5P2f1tb+3E6U8dNJBIXJMkvp8kF8GQuSNyWQiNjaW6Ohobty4QXR0dJZbxnOJiYkPvrGNeHh4qAl+xv9m9zqrYyVLlnSoX8ZFqT07cuQIbdq04dixY/j7+zN48GCcnJyYPXt2pmuL0nOLwuP8NSPbD6Ww43AK+08ZOHMlb99iujinJf9+Xk74eOrV196l9JTy0OHpcee/JfR4eugpeed1+jnPEjo8XPW4uuBQ7ZHIG0nq80F+GQhRcFJSUrh586aa7MfGxma7xcTEqK/j4uLs+q1AdvR6vVXSX6pUKTw9PfH09MzR63v3XV1d7fpLuSi1Z+3bt8fHx4dvvvkGgD179tCiRQv+++8/KleubHVtUXpuUXjFJVo49J+Bw/+lcuayiTNXjPx3xcilqKyH7NiaTgcebjo8XHW4u+ruvna7s++qw8NNb3Xe/c41ri46XJzA1UWHq7MOF2cdrs7c+a8Olzuvszqe9t60ezg7gbOTDic9d7a0Y056HU5OacfkD4/8yWl7VqzqNOX0a1shRMFxd3enfPnylC9fPlfvs1gsxMXF3Tf5v3XrFvHx8cTFxan/TX8dHx+fpz8KLBYLt27d4tatW7l+b1acnZ1z9UfBk08+ScOGDW3y2Y4kPj6ezZs3M23aNPVYw4YNURSF1atXM3LkSA2jE8WVdyk9LRt60LKhh9Xx2wYLETfMXIk2ce2mmSvRZq7dNHE12szNBAsx8WZi4i3EJFhISsl754SiQHKKQnI+7lEQ9BkS/vTk39kpPenX3dnPcN5Jh7Me9bxef/cPB50O9DrQ63Xoddns67nzWnfnHBmu1VnvZ7pP2jUZ93Xp+/e7z5176XSgI+1Y+vH096cf79yiBNXK2X44aLHJaI8cOUL37t2tvrYdNWpUll/bCiEKP71er46dzwuLxUJSUpJVop9V8n+/8wkJCdy+ffvBH3Yf6UOWYmNjc3T9nDlzimVSf+jQIUwmE35+fuoxd3d3vLy8OHTokIaRCZGZh5uehyvoebjCgxM3Q6pCTIKZm/EW4pMtJCQrJN22kHDbQuJthYRkC4kpConJd/ZvW0hItnA7VeG2QSHFoHA7VSHlzn768cLEYknbjGSMq3DFWJBqVHSRpD4/xo4dS6tWrfD39wege/futGjRgiFDhmT62lYIUfTp9Xq197tChQp5vo/JZCIxMZHExEQSEhJISEjI1+sHLSjm6emZ51gdWVRUFAC+vr5Wxz09Pe9bmjU+Pt5q383NDTc3N9sHKEQeubnqCPJzJsjvwdfmlKIoGIwZEv0MyX5KatrrVKOCyayQagSjOW3faIJUk0Kq6e5ro+nOOTMYjcqdazO8xwxms4LZwp1NwWRO+6/ZfPeYOf3YnetMZutjpoz3MGc+VpQGiz9oMJLBYMBgMKj797Zj2SkWSb18bSuEsBdnZ2dKly5N6dKlbXK/9G8Qskv+H330UZt8jqNJH5Pr4WE9zMFsNt+3qlFwcLDV/sSJE5k0aZLN4xOiMNHp0sbQu7tC6VJaR2MbljvJv6KkbRZFSfsGINv9tPfcfZ12jfV+2h9A1vtp77v3Ptb7Ge6V4X3mO5+ncOePkAyxpcetACEPud73WcPDw/nggw9y/TMqFkl9Xr+2lR4eIURBy/gNQl7ktYensAsKCgIgLi7O6nhiYiIBAQHZvi8iIsJqYpm04UI4Jv2dsfV3Fd3Jt6GhoQwfPlzdj4+Pz9RBkZVisaRjXr+2DQ4OVsvZeXt7Ex4ebtc4hRAiv8LDw63arZz8InAEtWrVwsXFRW3PAZKTk4mPj6dp06bZvs/Ly8tqk6ReCFHYubm5ZWq7cqJYJPV5/do2IiJCnRAXFxdHaGjofT/HYDAwadIkq16yokSez7HJ8zm2nD5faGioVbsVERFRQBHal6+vL+3atWPPnj3qsX/++QdXV1c6dOhgs8+Rf0eOTZ7Pscnz5U+xqFO/a9cuWrRowerVq+nSpYt63NvbmxdffJElS5ZYXZ/X+sZFvS6yPJ9jk+dzbNIuwf79++ncuTOnT5+mRIkSDBw4kFKlSvHRRx9lulZ+XlmT53Ns8nyOzd7tUrEYU5/Xr22FEEIUHo0bN2b+/Pn07dsXf39/fH19CQsL0zosIYQoFIpFUp/xa9u3334bsM/XtkIIIeyrc+fOdO7cWeswhBCi0CkWST3A+PHj6dy5M8nJyZQoUYJly5YxZMiQLOtTp49Iym3ViPTri0q1iXvJ8zk2eT7HltfnS7++GIy0tCLteNbk+RybPJ9js3c7XizG1Kf78ccfWbVqFf7+/nh7exMWFobeuj4SAJcvXy4yFSOEEALSJv7nZ5EtRyPtuBCiqHlQO16skvqcslgsXL16FU9PT7VyjhBCOCJFUUhISKBcuXJZdmIUVdKOCyGKipy245LUCyGEEEII4eCKT7eNEEIIIYQQRZQk9UIIIYQQQjg4SeptZPv27XTt2pV3332XYcOGYTKZtA7JZiIjI+nSpQve3t5Ur16dzz77TOuQ7CYmJobAwEB27NihdSh2sXnzZoYPH85nn33GiRMntA7HJoxGI++//z7jx49nypQp9OvXj4sXL2odVr6lpKQwd+5cmjVrluncxYsX6datG8OGDaNHjx5ERkZqEKEQQojCpNiUtLSnI0eO0L17d44dO4a/vz+DBw9m1KhRzJ49W+vQbKJPnz40bdpUXX03fRXHnj17ah2azY0ePZobN25oHYbNKYrCyJEjSUhI4NNPP8XZuej8X3/KlCl4eXkxatQoAHbv3k3Hjh05cuSIxpHlnclkYsWKFSxYsICkpCSrc8nJyTzzzDN8+umntG7dmjVr1tChQwf27NmDk5OTRhEXDUlJSYwaNQpvb2+SkpKYPn06bm5uWodlMxs2bGDw4MHExMTw2muvMXv27CLVFqRLTU2lSZMmzJ07l5YtW2odjs399ddf7N69m2rVqvH444/j5+endUg2cfLkSebPn0/16tU5c+YMAwYMoGHDhlqHlW9bt25l3LhxrFq1isqVKwN2bGsUkW/t2rVTXnvtNXV/9+7dipOTk3L+/HntgrKRY8eOKd9//726bzQalRo1aiiPP/64hlHZx86dO5XevXsrgPLbb79pHY5NjR07Vnn66acVk8mkdSg2V79+fWXVqlXq/u3btxVAiY6O1jAq2xgzZoxSqVIlq2MfffSRUr58eXXfZDIpJUuWVL766qsCjq7o6dmzp7JmzRpFURRl2bJlyrBhwzSOyHZu3LihdO/eXdm3b5/yzTffKCVLllSmT5+udVh2MWXKFMXLy6vIteOKoigLFy5Uxo4dq3UYdtGoUSPl8uXLiqIoysWLF5WaNWtqHFH+RUVFKWvXrlUAq5zQXm2NDL/Jp/j4eDZv3kxISIh6rGHDhiiKwurVqzWMzDZ8fX3p0qWLuu/s7Ezbtm2JiYnRMCrbS01NZdasWYwZM0brUGxu7969TJ8+nSVLlhTJnlx/f39mzpxJamoqALt27aJu3bpFovfK3d0907HVq1dbtTdOTk40aNCAVatWFWRoRc7Vq1f5/vvvadu2LQBt27bl888/JyEhQePIbOO///5j0aJFNGnShNdee4133nmH3377TeuwbO6vv/4iKCgIHx8frUOxuR07drBq1SqmTJmidSh2cfLkSfX/bx4eHsTFxWkcUf4FBATQsWNHq2P2bGskqc+nQ4cOYTKZrBIId3d3vLy8OHTokIaR2UZQUFCmGs8mkynLcb6ObNq0aQwdOrRIfdWebvLkyTRt2pSlS5fSqlUrHnvsMbZv3651WDYzfvx4Dhw4wLPPPsv+/fuZMmUKa9eu1TosuzCbzRw4cCDTHyyBgYFFor3R0o4dO/D391f/kAoICMDNzY19+/ZpHJltNGvWDA8PD3W/fPnyRW4xsqSkJL7//nv69OmjdSh2MXz4cGrVqsWgQYNo27Ytu3fv1jokm3rppZfo168fCQkJfPPNN8ybN0/rkGzi3rry9mxrJKnPp6ioKCCtRzsjT09PoqOjtQjJ7n777TeGDx+udRg2c+bMGSIjI3nyySe1DsXmkpKS2LJlC+XKlWPIkCFs3LiR8uXL065dO86fP691eDbx1FNP8e2337J7927+97//MXv2bKpXr651WHYRExOD2WwuVu1NQbly5Uqmn2upUqW4evWqRhHZ199//82bb76pdRg2NW3aNEJDQ7UOwy5OnTrF4cOH6d+/P/Pnz+fpp5+mTZs2RWoO2CeffIKLiwtNmjShVKlSVqMEihJ7tjWS1OdTei92xh4QSOtRc3Fx0SIku1q7di2tWrWidu3aWodiMxMmTGDy5Mlah2EX586dIzU1lW7duuHt7Y2LiwtTp07FYDAUmV4QSPs686233qJkyZK0bt2aY8eOaR2SXRS39qYg6XS6TMOdUlNTi+TP9fz58/j4+FgN43J0mzZtonHjxgQGBmodil0cP34cX19f6tWrB8C7776LxWIpUt9KpqSk8Nprr9G9e3eGDh3K1q1btQ7JLuzZ1hS9ae8FLCgoCCDT2K/ExEQCAgK0CMluYmNj+eabb1ixYoXWodjMsmXLaN++faa/mouKxMREIK0XIN1DDz1EcHAwp0+f1iosm1q2bBm7du1i9erV9OvXj1atWtGpUyf+/fffIpeQ+fn54erqWizam4JWrly5LH+u5cqV0ygi+7BYLHz22Wd89NFHWodiUzNnzrQaghYbG0unTp0YN24co0eP1jAy2zCZTJjNZnXfw8ODhx56iJs3b2oYlW316NGDlStXUrp0aXQ6Ha+++ioXLlygZMmSWodmU/Zsa6SnPp9q1aqFi4uLOgwH0krOxcfH07RpUw0jsy2z2czo0aP5+OOPcXV11Tocm1m6dCk9e/ZEp9Oh0+moUqUKkDakoyiUQksfM3vvxOYyZcoUmT9kJk2axCuvvAJA/fr1WbduHRcuXChS8wbS6XQ66tWrZ9XeQNpaEkWpvdHCU089xeXLl9UJ1+lfhRe1n+ucOXMYOnRolpOwHdny5cs5fPiwupUrV45Fixbx1ltvaR2aTdSvX59bt25ZDbNzdnamTp06GkZlO9HR0Rw5coTSpUsDaXOlvLy8OHnypLaB2YE92xpJ6vPJ19eXdu3asWfPHvXYP//8g6urKx06dNAwMtsKDQ1l4MCBlC9fXj12b2LhiBYuXMihQ4fUbf369erxRYsWaRxd/gUHB1O/fv1ME6piYmJ45plnNIrKtuLi4qwmODdr1oyGDRtisVg0jMp+evToYdXemEwmTp48yUsvvaRhVI4vKCiI5557jt9//x1IW6ht4MCBRSr5nTVrFjVq1CA1NZVz587x5Zdf8t9//2kdlk0EBARQoUIFdXNyciIgIAAvLy+tQ7OJmjVr0rZtW7Wq3q1btzCZTLRv317jyGzD19cXd3d3rly5oh7z8/Pj4Ycf1jAq21AUxeq/9mxrZPiNDYwfP57OnTuTnJxMiRIlWLZsGUOGDCkylQXGjRuHxWLh+vXrbNq0CZPJxM6dO2nZsiXt2rXTOrx8uXdCZXovQfXq1YvMZMtp06bRs2dPJkyYgL+/P/v378fDw4Pu3btrHZpNdO/enR9//FH9IzoxMRG9Xs/jjz+ucWT5ZzQaM61O3bdvX2bNmsXBgwcJCQlhzZo11K5du8hOKitIn3/+Oe+99x579+4lJiaGDz/8UOuQbObjjz9mxIgRVsdq1apVZCvFFEVfffUVQ4YM4fbt20RERLB8+fIiU6ZYr9fz448/EhYWRqNGjbh+/TrTp093+D/KEhMT+frrr4G0oaLvvvsu/v7+dmtrdEr6nw4iX3788UdWrVqFv78/3t7ehIWFZSpj5IhmzJihrtSZkY+PD9evXy9yY5YvXLhAlSpV+O2334rE8Jt03333HatWraJhw4ZcunSJiRMnFpk/OlNSUhgxYgRGo5FatWoRFRVF7969Hb6H54cffmDSpEmcOHGCmTNn0r17d3US4MmTJ5kwYQKVK1fm5s2bTJ8+vUjU5RdCCJF3ktQLIYQQQgjh4By/K1kIIYQQQohiTpJ6IYQQQgghHJwk9UIIIYQQQjg4SeqFEEIIIYRwcJLUCyGEEEII4eAkqRdCCCGEEMLBSVIvhBBCCCGEg5OkXgghhBAOZenSpbi5ufHEE0/w3HPPUb58edzd3Xnuued49tlnCQgIUBcQHDp0KJ07d9Y03rz44YcfKF++PCkpKVqHIhyEs9YBCCGEEELk1s8//0zr1q0BeOONN9i6dSubNm0CIC4ujmHDhgHQuHFjgoODNYszr6pWrcpzzz2Hm5ub1qEIByE99aLYkR4eIYRwbNWqVVMT+qx4e3vz+uuvA9CjRw9GjBhRUKHZzCOPPMLixYvR6XRahyIchPTUi2JJeniEEMJxPf744w+85sknnyyASIQoPKSnXhQ70sMjhBDFw+HDh+nTpw9t27YF4PLly4wbN44yZcoQGxvLa6+9hpeXF+3ateP27dssXryY8uXLExQUxJYtW6zu9cUXXzB8+HAef/xxnnnmGf79998cxfDbb7/RpUsX+vXrx86dO2nYsCGlS5fm008/JSEhgZ49e1KyZElatmxJXFwcAFevXuX999+nTJkyACQlJfHpp59Sp04dtm7dypgxY/Dy8uKxxx7j1q1btvuBCYcmSb0odqSHRwghiodSpUpx/Phxbt++rR67desWUVFRLF++nP/7v/9jxYoVbNy4kb59++Ln58eRI0cICQlh6NCh6nuWLVtG2bJlmTVrFr///jvOzs507NgRRVEeGENAQAB79uzh+PHjXLt2ja1bt9KxY0dGjBjBnDlzCA0NZc+ePezfv58FCxYAoCiKGidAamoq5cuX58SJEyxbtoyXXnqJnTt3cuDAARYuXGjbH5pwWJLUC5EN6eERQgjHVr16dR5++GF1v0KFCjzyyCMAvPPOO1SqVIn27dsTGBjIww8/TOfOnfH396djx46cPn1afV9YWBj//PMPH374IR999BHBwcFUrFiRGzduPDCGunXrUqVKFWrUqEG3bt3w9/fn1VdfJSUlhZ49e1K7dm3q1atHvXr11M8sX748DRs2VO/h4+NDvXr1AOjduzdNmjShYcOG1KtXjzNnztjiRyWKAEnqhciG9PAIIYTjc3Jystp3ds48ndDDw8Nq383NDZPJBEBycjLnzp2jX79+vPfee7z33nssWrSIrVu3EhgYmKMY7v3Mez8v/TONRmO2cev1eqv/ApQsWZLU1NQcxSCKPpkoK0Q20nt4IiIigMw9PACVKlWy6uEB6NixI++++656n7CwMHr37s3JkycBCA4Oxmw2c+PGjQf+Qkjv4alevTrdunUD4NVXX+Xrr7+mZ8+eVK5cGSDXPTzp75EeHiGEuD+DwQDAgQMHaN++vXo8KSkJvV6fZYIuhBYkqRfiPmzZw1O2bNk8xSA9PEIIoR0fHx+CgoKYPHkyrVu3xsXFBYBFixbx5ptvahydEHfJ8Bsh7ChjD09GSUlJVsN6hBBC5N3t27ezbVPNZjNms9lqP+N/ASwWCxaLRd1PHx6Zfs17773H3r17eeKJJ/j0008ZNmwYt27dwt3dne3bt1O5cmWWL1+ebXz3xpD+Wfd+5v3iTO+4yfiee59DFG+FKqlPSUlh7ty5NGvWzOq40Whk9OjRlC1blrJlyzJkyBCSk5MzvX/u3LnodDp1+/DDD63Oz5s3j169evHGG2+waNEiuz6LEGDdw5OxJ33RokVSblIIIfIpLi6OL7/8kq1btxITE8PkyZP577//1PO//fYbv/32G0eOHGHNmjWcOHGCb7/9FoAPP/yQ6Oho5s+fz5UrV/jll1/4448/OHjwIF999RUAU6dOJTk5mUGDBhEWFsa5c+eYOHEiTk5OjBs3DoD4+HiSk5OZN29eljGuXr2aw4cPs3PnTjZt2sR///3HF198AaTlLVeuXGHZsmUcOnSIHTt2sHXrVv7991+rOC9fvszcuXOBtN8f//33n3rf33//na1bt9rnBywcSqEZfmMymVixYgULFiwgKSnJ6tyUKVO4efMmc+bMYceOHXz88cckJiayePFiq/dv376d2bNnq8fSa40DLFiwgJUrV7Jr1y4sFguNGzcmICCATp062f/hRKGW1x6e9CEu9+vhcXJy4r333mPIkCE88cQT9OzZkzNnzlC6dGm1h6dPnz783//9H927d89RDLnt4XFycpIeHiFEkeTt7U2fPn3o06dPluefeuopLl++bHVs+/btVvvvvvuu1TwoSPtj4F7vv/8+77//fqbjnTt3pnPnzgwaNCjLGF566SVeeuklq2OrVq1i1apV6v7rr79ulbNkFef8+fOZP3++ul+9evVM9xXFnFLIjBkzRqlUqZK6b7FYlA8++MDqmr59+yrOzs5KSkqKeuzrr79WfvrppyzvmZycrPj7+ysLFy5Uj4WHhyvVqlVTLBaLbR9AOIxbt24pixcvVnx9fRVACQsLU86cOaOe3759u1K+fHnF09NT+eGHH5Tjx48rTz31lAIoU6ZMUW7cuKHMmzdP0ev1yiOPPKLs3LlTOXDggNKyZUsFUD744AMlKSlJsVgsSlhYmBIYGKj4+/srI0aMUIxGo6IoirJ27VolICBAadasWZYxfv/990qpUqWUihUrKhs3blTOnDmjdO3aVQGUwYMHK5cvX1aWLl2qeHp6KhUqVFC2bNminDx50irOiIgI5Z133lEA5dVXX1XOnDmjfP/994q3t7cSHBysbNmypUB+3kIIUVR99913ys6dO7UOQxRzOkXJQV29AjRp0iSWLl3KhQsXgLRyfAkJCfj5+anX/PTTT3Tu3JkbN27g7+8PQP369UlKSqJTp07qUJ10GzdupF27dhw4cICQkBAAtmzZQuvWrfn7779p3LixVQwWi4WrV6/i6ekpQyREgRg1ahTTp0/XOgxRBCmKQkJCAuXKlbOaKF3USTsuCsrRo0dxdXWlZs2aWociiqictuOFZvhNdlxdXa0SekgbalO9enU1ob906RJ16tTh+PHjzJ49m2XLlrF+/Xp1bP6+ffsArO6TXkrw0KFDmZL6q1evEhwcbLdnEiIr6XXmhbCHiIgIKlSooHUYBUbacSFEUfOgdrzQJ/VZ2bJlCyNHjlT3K1asyIoVKwD4448/6N69Oy+++CJnzpyhZMmS6iI8vr6+6ns8PT0BiI6OznT/9HP3eu+99wgNDc02rvj4eIKDg4mIiMDLyyv3D1bIyfM5Nnk+x5bT5wsPD89UJACyb9eKqvTnze2/B/l35Njk+RybPN/93/egdtzhkvorV65w8uRJq8kiGT3++ONs2rSJhg0b8tNPP9G9e3f1q9eM9b3TJwim15vNKP36e3/obm5uuLm5PTBGLy+vIvmPMZ08n2OT53NsD3q+SZMmWXU+pP8yKG5DUNKfN6//Hor7vyNHJ8/n2OT5svagdtzhkvr33nuPpUuXZrkIULo6derQqVMndVx+UFAQkFb6Kn0ITmJiIgABAQHZ3qeo/6MSQhQ9Oe18EEIIUbQ41Kyp6dOn8/rrr1OlSpUHXlu1alV13FGDBg0A1GE4AJGRkQA0bdrUDpEKIYQQQghRcBwmqV+5ciV+fn60atVKPZYxSb/XxYsX6dChAwBt2rQhICCAPXv2qOePHj1K7dq1qVWrls1idHNzY+LEiUW2l0yez7HJ8zm2ov58hUVR/znL8zk2eT7HZu/nK3QlLceNG8eyZcusFotYv349n332mbo4hMVi4ezZs8TFxTF+/Hi++OILTp06xcSJE/H09GTOnDlUqlSJLl26qPeYM2cO27dvZ926dZhMJpo0acLkyZN5/vnnM8UQHx+Pt7c3cXFxMvxGCOHQimt7VlyfWwhR9OS0PStUY+p/+OEH1q1bx7Vr15gzZw7du3fnzJkzdOnSBYPBwPr1662u379/P5BW1Wb58uUsW7aMFi1aMGbMGJo3b2517dChQ4mLi+PNN9/EYDAwZsyYLBN6IYQQ2oqJiaFmzZp89913tGzZEoDY2FgGDRqEv78/kZGRhIWF8fDDD2sbqBBCFCKFrqe+MJAensIvfsIEDBs34j1/Pq6PPqp1OEIUWo7YnvXr14/Fixfz22+/0bJlSxRF4fHHH6dXr14MGDCAgwcP8sILL3Ds2LFsS7w54nMLuGmI4e0D72JSjMxoMI2qpapqHZIQmstpe+YwY+qFSGc8dozEyZMx7t9PbI8eWocjhLChP/74A4vFYnVs9erV7Nu3j549ewIQEhKCh4cHc+bM0SBCYS8mi4m5Z+ax48bv/Bn9F4MPDdc6JCEciiT1wuGkrFmjvjb/9x+m06c1jEYIYSupqanMmjWLMWPGWB1fvXo1NWvWtFprpFGjRqxataqgQxR2suLiKh7eWIfPz95dWXtfzN9cTr6iYVRCOBZJ6oXDub12rdW+4Y8/NIpECGFL06ZNY+jQoZkqQ+zbt09dYyRdYGAgJ0+exGAwFGSIwg4uJ19hyOHhJJoSM53bHvWbBhEJ4ZgkqRcOxXLrFqbDh62OmY4e1SYYIYTNnDlzhsjISJ588slM56KiovD19bU65unpicViISYm5r73jY+Pt9rkj4DC55dr67M9tz/mQAFGIkThYDAYMrVdOSFJvXAoxnsSegDz1asFH4gQwqYmTJjA5MmTszyn0+msht4AmM1mAFxcXO573+DgYLy9vdUtPDzcNgELm/krek+2504lyPBKUfyEh4dbtVvBwcE5el+hKmkpxIMYDx7MdMxyZ3VgIYRjWrZsGe3bt8/UG58uKCiIuLg4q2OJiYk4OTll+550ERERVtUiiuqiNo7KoljYe3NvtudPJZxGURR0Ol0BRiWEtkJDQxk+/O5E8fj4+Bwl9tJTLxyK8dChTMfM165pEIkQwlaWLl1Kz5490el06HQ6qlSpAsBTTz1Fy5YtadCgQaYVxCMjI2nUqBF6/f1/jXl5eVltktQXLifj/yXWeMvqWGmX0jTxbQxAsjmZy7dlsqwoXtzc3DK1XTkhPfXCoag99S4uOFWsiPnsWSzXrklPjhAObOHChSQm3p0kefXqVdq3b8/ChQtp2bIlx44d45VXXsFgMKhJ+dGjR+nTp49WIQsbOXzriPr6gzoTaOzbiAoe5VlwbjF/x6QtMPlf4lmCS1TQKkQhHIYk9cJhWJKSMP37LwAudeuiK10a89mzKMnJKImJ6LJZhEYIUbhVr17dar906dLq8erVq1OlShXq1q3L+vXrefHFF9m3bx8Gg4GBAwdqEK2wpRuGG+rrSiUrqT30lUtWUo9fSr5U4HEJ4YgkqRcOw3T0KNxZlMYlJATl9m31nOXaNfSS1AtRJDk5ObFu3TqGDx/Onj17uHbtGtu2baNkyZJahybyKdoQrb72d7tbtrRSibtJ/cUkSeqFyAlJ6oXDyDhJ1iUkBNPZs+q++do1nB9+WIuwhBA2VrlyZRRFsTpWrlw5Vq5cqVFEwl6iU++WJPV3zZDUl6yovr6YfLFAYxLCUUlSLxxGxkmyLiEhKMnJ6r5UwBFCCMeTsafeL0NPfQWP8ujRY8EiPfVC5JBUvxEOQ+2p1+txrl8ffdmy6jnz9esaRSWEECKvbhpuAuCic8HL+W6FDxe9CxVKlAfgUnKEJrEJ4WgkqRcOQTEYMB47BoBzrVroS5RA7+Nz9/ytWxpFJoQQIq+i7yT1fm5+mSqYVSqRNgTnlvEWt1JvFXRoQjgcSeqFQzAePw5GIwAujzwCYJXUW2JjNYlLCCFE3iiKws3UO0m9a+ZFxCpZVcCR3nohHkSSeuEQ7p0kC6C7U/YOJKkXQghHE2eMw6SYAOvx9Okqlri7gqZMlhXiwSSpFw7B9M8/6muXhg0B6556RZJ6IYRwKBlXks2ypz5DWcsLMllWiAeSpF44BOOJE+pr5zp1ABl+I4QQjizeGK++9nLxynQ+Y1lLWYBKiAezaVKfmppqy9sJoTKdPAmA3s8PfUAAADp3d3B3BySpF0IIR5Nx8mtpF+9M52UBKiFyJ1d16mNiYli3bh0xMTE0a9aM5s2bW503GAx0796dChUqMGfOHFvGKYoxS1wclitXgLTKNxkrJOh9fLBcuyZJvRBCOJg4Y5z62tuldKbzvq4+uOndMFgMRKbIWiRCPEiOe+qPHTtGnTp16NOnD1OmTKFt27a0aNGCAwcOqNd4enrSrVs35s2bZ5dgRfFk+vdf9bVzrVpW59KH4EhJSyGEcCxxGYbflHbN3FOv0+ko6562HklkiqxFIsSD5DipHzx4MGazmT/++IOYmBji4uKYMWMG06ZNY+7cuep1Xl6Zx8UJkR/pQ28AnGvXtjqnJvVJSSh3Sl4KIYQo/DIm9d5ZjKkHCPJIS+pvGW9x23y7QOISwlHlOKnfv38/EyZM4LHHHlOPNWvWjO+++47y5cszbNgwzGazXYIUxZvVJNl7euqlrKUQQjimJHOS+rqkc6ksrynrXkZ9fe22DMER4n5ynNRXqVIFT0/PLM+99NJLvPXWW7z99tvEx8dneY0QeZWxp94lm556kLKWQgjhSJJNyerrEk4lsrwmffgNIOPqhXiAHCf106ZN49NPPyUhISHL8zVq1CAsLIz58+fbLDghFEXBuHcvkNYrr69Qweq8lLUUQgjHlGy+m9SXzCapD8qQ1F+TpF6I+8px9ZvnnnuOKlWqsGTJErp27UrZsmUzXVO2bFnWrFlD69atcx1ISkoKX3zxBStWrGDPnj1W5y5evMjo0aMpV64cN27cYMaMGVafrygK48ePJyoqiuTkZF555RU6dOhgdY/t27fz+eefExgYiIuLC9OnT8fZOVfFf4QGTCdOYLlxAwDXFi2sKt8A6CSpF0IIh2TVU+/skeU16WPqQYbfCPEgucpqa9SoQY0aNe57jZ+fH0uWLMlVECaTiRUrVrBgwQKSkpKsziUnJ/PMM8/w6aef0rp1a9asWUOHDh3Ys2cPTk5OAIwbN44LFy6wfPlykpOTqVmzJkFBQTRu3BiAI0eO0L17d44dO4a/vz+DBw9m1KhRzJ49O1dxioKX+vvv6mu3li0znZeeeiGEcEzJGSa+5mT4zXXpqRfivvLVVX3gwAFOnz6NMUPVEbPZzPLly9myZUvOg3B2pnfv3pw6dYqVK1danfvkk09ISUlRe/87depEr169WL58OT179uTKlSvMnDmT9evXA1CiRAnatWvHmDFj2LZtGwBjx46lVatW+Pv7A9C9e3datGjBkCFDqFy5cn5+BMLODL/9pr52fUBSL2UthRDCcWQcflPC+cFJvQy/EeL+8pzUDxkyJNt69PcOkcgp9zurg2a0evVqQkJC1H0nJycaNGjAqlWr6NmzJ+vWrSM1NdXqmkaNGrFgwQKioqJwd3dn8+bNTJs2TT3fsGFDFEVh9erVjBw5Mk+xCvtTzGYM27cDaePpXRo2zHSNVL8RQgjHlLOJshmq30hSL8R95Xii7L0WLVrEkiVLSElJwWKxqJvZbGb8+PE2Cc5sNnPgwAH8/PysjgcGBnLo0CEA9u3bh16vxydDj21gYCCKonDkyBEOHTqEyWSyuoe7uzteXl7qPUThZDx0CCUmBgC3p59Gd2e4VUYy/EYIIRxTek+9i84FF71Llte4O7nj65rWzkfKmHoh7ivPPfUhISG0adMGV1dXq+M6nY5BgwblOzCAmJgYzGYzvr6+Vsc9PT2Jjo4GICoqitKlS1t9O5BeejM6OlqdDHu/e2Tn3vKcbm5uuLm55e1hRK4ZMgzhcmvVKstrpKSlENYMBgMGg0HdlzLDorBK76nPbuhNujLuZYlJjSUy5ToWxYJel+f+SCGKtDz/P2Px4sWZxr+nW716dZ4Dyig9UffwsJ4VbzabcXFxUa/J6jyAi4tLju6RneDgYLy9vdUtPDw87w8jcs2wdav62u3ZZ7O8RnrqhbAWHh5u1W4FBwdrHZIQWUrvqS/hlHXlm3TpZS2NipGYVGnnhchOnnvqb968yZdffsnHH39sddxisXDt2jXeeuutfAfn5+eHq6srcXFxVscTExMJCAgAICgoiN8zVEhJPw8QEBCg9tTf7x7ZiYiIwMvr7tLV0ktfcCzJyaT++ScATpUr41StWpbXSUlLIayFhoYyfPhwdT8+Pl4Se1EopVe/yW48fboy7oHq6yhDFP5ufve5WojiK89Jfffu3SlVqhRdu3a16gU3m8389NNPNglOp9NRr149oqKirI5HRkbStGlTABo0aMCiRYtITk6mRIkS6nlnZ2dCQkIwGo24uLhY3SM5OZn4+Hj1Htnx8vKySupFwUndtQtSU4G0oTfZTb7WlSgBLi5gNGKR6jdCyDBB4TByOvwm0O1uB1xUyg1qe9Wya1xCOKo8J/Umk4ktW7ZkuQhVmzZt8hVURj169LCqJ28ymTh58qRataZbt24MHz6cvXv38tRTTwFw9OhRWrdurY6tb9euHXv27OHtt98G4J9//sHV1TXTAlWi8Ei9U44UwO2ZZ7K9TqfToS9dGsuNGzKmXgghHITRYsSopJXDflBPfaCbdU+9ECJreR5TP378eE6dOpXlubz2bhuNRkwmk9Wxvn37oigKBw8eBGDNmjXUrl2bLl26AGlDbAYOHMjatWsBSEhIYOPGjUyePNkq1m3btpGcnNYrsGzZMoYMGUKFChXyFKewP0OGpN716afve236EBwZfiOEEI4hY416jweMqbcafpNyw24xCeHo8txT7+HhwaJFi7h48aLVcbPZzMqVK/n1119zdb8ffviBdevWce3aNebMmUP37t0JDAzE09OTX3/9lQkTJlC5cmVu3rzJ+vXr0evv/j0yffp0hg8fzuDBg4mNjWXx4sVWdesbN27M/Pnz6du3L/7+/vj6+hIWFpbXRxd2ZomJwXjgAADO9evjFBh43+v1Pj6YASU+HsVszrL0pRBCiMLDqkb9g4bfZEjqrxuu2y0mIRxdnpP6zz77jL179/Ltt99mOpeXxae6dOmi9r7fq1atWnz//ffZvtfFxSXbhbDSde7cmc6dO+c6LlHwDDt2gKIA9x96k+7eVWV1fjKJSgghCrMkU5L6+kHVbzKOqb8hPfVCZCvPw2/effddNm3ahNFotFp8ymg0MmnSJBuGKIobq1KW2dSnz8iqrKVMlhVCiEIvvfIN5GSirIypFyIn8txT37VrV8xmM073DHVwcnJSJ7EKkRep6SVKnZ1xffzxB14vZS2FEMKxZBxT/6CJsiWdS1LCyYNk820ZUy/EfeS5p/769eu88sorbN68GYCkpCTmz5/PihUrMi30JEROWWJjMZ04AYDLI4+gv1PB6H70pUtbvV8IIUThZjWm/gFJvU6nI9C9DABRBknqhchOnpP6AQMGcPToUXVxp5IlS/Luu++ybds2PvvsM5sFKIqX1D171Neu//tfjt5jNaZeknohhCj0ksw5nygLd8fV3zLeIsWcYre4hHBkeU7qfX19OXfuHE/fU26wVatWTJs2Ld+BieIpdfdu9bVr8+Y5eo8MvxFCO1988UWWx8+fP8/s2bPZuHFjAUckHEHGnvqSD+iph3smyxqi7RKTEI4uz0l9qVKlsjy+YcMG4uLi8hyQKN5S//pLfZ3TpF4mygqhneXLl7N69Wo+/vhjLl26BEBcXBzNmjXD29sbvV7P0KFDsVgsD7xXXFwcr776Kt7e3lSrVo2vvvrK6vzFixfp1q0bw4YNo0ePHkRGRtrlmYT95WZMPViXtYxKkcmyQmQlz0l9rVq16NevH7t37+bUqVP8/PPPtG/fnm+//ZZevXrZMkZRTChmM8a9ewHQV6iAU3Bwjt4nw2+E0MbNmzc5fvw4vXv35v/+7/8ICQnhwoUL7N69m+joaLp3706bNm145plnmDlz5gPvN2nSJHr06MGWLVuoWLEivXv35uTJkwAkJyfzzDPP0LdvX2bPns2LL75Ihw4dMJvN9n5MYQfW1W8ePA8vY0+9jKsXImt5TuqHDBlC1apVefbZZ6lduzadOnVi+/btjBgxghkzZtgyRlFMmI4dQ0lMBHI+nh5koqwQWhk3bhy//PILCQkJREZG8vvvv7N8+XISExPR6XS4u7sD8Nhjj7F06dL73ishIYGBAwfSvn17mjZtypIlS7BYLBw/fhyATz75hJSUFFq3bg1Ap06dOHnyJMuXL7frMwr7uJ0xqc9BT32ZOxNlQcpaCpGdHCf1BoMh07GxY8dy48YN9u7dy5EjR4iJieGjjz7CxcXFpkGK4iEvQ29AxtQLoZV69erRrFkzdb9OnTqUKlUKs9mMq6urelyn03Hu3Ln73svT05OHHnpI3ffz88PLy4uWLVsCsHr1aquVwp2cnGjQoAGrVq2y0dOIgpSbFWXhnp56KWspRJZynNQPHjyYN998k7Vr11ol+B4eHjRu3Jh69epJKUuRL3lN6vWS1AuhiWPHjnH8+HGMRiNXrlxh8uTJHD58mOTkZLy9vdXrjhw5gr+/f67uvXz5cr755hv8/f0xm80cOHAAv3tWiw4MDOTQoUM2eRZRsPIzpv664bpdYhLC0eV48akvvvgCg8HApk2bGDx4MABt2rShXbt26lesQuSHWs7S3R2Xhg1z/D6dpyfo9WCxoMhEWSEKTN++fXnyySeJvfPHdI8ePXjkkUcYPXo0lStXZvLkybRq1Yr333+fVjlYHRrSquZ88sknzJkzh1deeYU2bdoQFxeH2WzG19fX6lpPT0+io+9fCSU+Pt5q383NDTc3t1w8pbCH3NSpB+mpF8WLwWCw6kC/tx3LTq5WlHVzc6NTp0506tQJg8HAr7/+qlY1aNOmDe3bt5cEX+SJJTYW83//AWmLTukyfHX/IDq9Hl3p0igxMdJTL0QBaty4MadOneKPP/7A39+fFi1aANChQweCgoI4f/48b775JteuXeObb77J0T3Lli3Lq6++yoULF/j222+pUqUKQ4YMAcj0bbDZbH7gcM/geybcT5w4kUmTJuXwCYW9JOeyTr2/mz86dCgo3JAx9aKICw8P54MPPsj1+3KV1Gfk5uZGx44d6dixI6mpqVYJfuvWrXnppZfyemtRDBkPHlRfuzZunOv36318MEtSL0SB8/Pzo3PnzlbHqlWrBqSNsf/zzz9zdT8PDw8aNWrE6tWrefzxx/nll18ICwvD1dU1U7nkxMREAgICsrlTmoiICLy8vNR96aUvHHI7/MZF74Kfqy/RqTelp14UeaGhoQwfPlzdj4+Pz9RBkZUcJ/VXrlyhfPnyWZ5zdXWlQ4cOdOjQgdTUVDZv3pzT2woBQOr+/eprl7wk9aVLYwaUW7dQLBZ0+jwXdhJCFBJdunRhxYoV6HQ66tWrR1SUdQ9tZGQkTZs2ve89vLy8rJJ6UThkrH7j4ZSz+XgB7oFpSb3hBoqioNPp7BWeEJrK6zDBHGc+I0eOxGg0PvA6V1dXnn/++VwHIoo3499/q6/zktSrFXAsFpSEBFuFJYTQUEpKCo8//jiQNl5/T/q8G8BkMnHy5En5VthBJZvSknodOjyccjZsN31cvcFiIM4oi1wKca8cJ/WbNm3i2WefpX///mzYsCFHCb4QOWW801OvK1kS5xo1cv1+WVVWCMcWGRnJzJkzuXEjbWjFtWvXWLduHaGhoUDapFxFUTh4Z6jemjVrqF27Nl26dNEsZpF36cNvPJw8ctzjLgtQCXF/OR5+M2fOHF5//XWuXr3Kjz/+SLdu3fDy8qJjx460bdtWylmKPDPfuIH54kUAXEJC0Dk55foemVaVrVTJZvEJIezvxo0bfPLJJ0yePJmnn36aihUr8t1336llLD09Pfn111+ZMGEClStX5ubNm6xfvx69DLVzSOnVb3IySTZdxrKWUSlRPOz50H2uFqL4yXFS//rrrwNQrlw5Bg4cyMCBA4mJieHnn3+mT58+6PV62rdvz/PPPy/jF0WuGA8cUF/nZegNSK16IQqTqKgoVqxYgZ+fH926dcvRgoT16tV74AJVtWrV4vvvv7dVmEJD6T31OZkkm65MxqReeuqFyCRfXRy+vr507dqVLl26EBcXR8+ePQkMDFT/ABAiJ4wZJ8k2aZKne+hKl1ZfS1IvhLbatGnDjBkzqFmzJpMnT+b27dsPfpMoVtInypbMRVIf6JYxqZeylkLcK8c99cePH6dOnToAJCUl8csvv7B69Wo2bdpEcnIy/v7+DBgwgJdfflld1luInDAePqy+ds2wDHxuSE+9EIXHY489xo0bN2jcuDH169fn119/pUOHDlqHJQoJi2Ih+U5SX8I550N3ZQEqIe4vx0n98OHDadeuHdu3b2fr1q2kpKQQGBhIr169eOmll3jyySdlbKPIE+PRowDoPDxwql49T/ewGlMvE2WF0NT8+fNJTk4bXpFe8liIdLfNKerrnJazBOsx9ddTrts0JiGKghwn9Vu2bGHr1q34+/vTsmVL/v33X4YPH07Xrl0fuPiHENmxJCWpK8k6162bp0mykKGkJdJTL4TWFEVh7ty5auUaITLK7cJT6aT6jRD3l+Ou9erVq/Pzzz9z7do11q9fz4kTJyhfvjwjR47khRde4PPPP1dLkQmRU6Zjx0BRAHCpXz/P95HhN0IUvF9//ZV69erh7u6Ok5OTujk7OzN+/HitwxOFVHrlG8hd9RtvF2/c9GkL8khSL0RmOe6pnz9/Pq1bt1b33dzc6Ny5M507d+bGjRu88847DBo0iCeeeIKXX36Zt956yy4Bi6IlfegNgHODBnm+T6aSlkIIu+vVqxcNGzbk7bffpmTJkupxRVFYtWqVhpGJwizjarK56anX6XQEugUQcfsyN1JkoqwQ98pxUv/0009b7cfHx/PTTz/x/fffs2XLFgwGA8HBwTRs2JCQPE52FMWP8cgR9XW+euql+o0QBa506dJ8/fXXBAYGZjrXJI+VrETRl9fhNwCB7mlJ/c3UGIwWIy76B5dLFaK4yPHwm48++ojr16+zdOlSnn/+ebV05aFDh3jrrbfYtWsXFy9eZObMmTRt2tTmgYaHh6PT6TJtI0aMUK8ZNmyY1bmVK1eq5xRFYdy4cfTv35/XXnuNn3/+2eYxitwzZeipz09Sb1XSUibKClEg5s2bx6+//prluStXrhRwNMJR5HX4DUDAnbKWCgrRhmibxiWEo8txT/348eN5//33URSFoKAgBgwYQLdu3XjsscfsGZ9q48aNhIeHU7ZsWfXY1KlTef755wGIjY3l7NmzzJ49GwC9Xs9LL72kXjtu3DguXLjA8uXLSU5OpmbNmgQFBdE4j4sdifxTFEUdfuMUHGw1hCa3dE5O6Ly8UOLjZfiNEAXk+++/5+DBg2zbts2q+pnFYmHHjh1cuHBBu+BEoWXdU5+71egD3a0nywZ5BNksLiEcXY6Tejc3N3r37s2rr75KixYt0Ol09ozLyqlTp/j888+pXbu2eiwxMZFx48bxxBNPAPDpp58yZcoU6mfR23vlyhVmzpzJ+vXrAShRogTt2rVjzJgxbNu2rWAeQmRivnQJJS4OAOd89NKn0/v4YI6Pl+E3QhSQ2NhYYmNjOX/+vFVSbzQaiYmJ0TAyUZhlTOpzU9ISoIxbGfW1lLUUwlqOk/oPP/yQIUOG2DOWbNWoUSPTsU2bNvHss8/i5ORESkoKH3/8McuXL+fll19m+PDheHl5qdeuW7eO1NRUq7H+jRo1YsGCBURFRWU5HlTYn62G3qTT+fjAxYtYYmNRFKVA//AUojh69913qVSpElWqVMl07ocfftAgIuEIkk0ZJsrmeviNv/r6hgy/EcJKjsfUa5XQZ+enn37ihRdeAODEiRO0bNkSo9HIBx98QP369Tlz5ox67b59+9Dr9fhkGN4RGBiIoigcyTBRUxSsjJVvXPJR+SadOlnWaERJTr7vtUKI/GvZsiVVqlTh9u3bHDx4kH/++QflTonaLl26aBydKKzyM1E2IEOt+htS1lIIKw65BKzJZGLHjh1qic2QkBBWrVrF6dOnWbt2Lbdu3eLll19Wf7lERUVRunRpq55bT09PAKKjs/9LPz4+3mozGAx2fKriJ2PlG1sNv0knq8qK4spgMGRqu+xp2rRplC1bliZNmtCwYUPKlSvHggUL7PqZwrElmhLV16WcS+XqvQHu0lMvRHYcMqn/448/aNKkCR4emcfide7cme+++44jR46we/duIK227b3Xms1mAFxcsi+HFRwcjLe3t7qFh4fb8CmEOvzGzQ3nhx7K9/1kASoh0iqFZWy3goOD7fZZ06ZNY+rUqfTu3ZulS5eyadMmZs2axebNmyWxF9lKNCWprz1zm9RLT70Q2crxmPrC5KeffqJz587Znm/dujWNGjXiwoULNG/enKCgIH7//XeraxIT03oKAgICsroFABEREVZj893c3PIXuFBZkpMx3Rki5VK3Ljrn/P9T1ElSLwShoaEMHz5c3Y+Pj7dbYr9u3TpOnz5tVZUM4NVXX2XAgAEMGDDALp8rHFu+euolqRciWw7ZU79hwwa1lGV2qlatSoUKFQBo0KABiYmJJGcYZx0ZGYmzs/N9F8ry8vKy2iSptx3T8eNgsQC2GXoDsqqsEJDW+XBv22Uvjz76aKaEPl3cncpWQtwrwZigvi7lXPI+V2ZWyrmkWgbzRooMvxEiI5sn9TNnzqRq1aoMGTKEtWvX2vr2HD16lODgYHx9fbO9xmw2c/v2bZo3bw5At27dcHFxYe/evVb3ad26tTq2XhQso40r34AMvxGioCUlJWWal5ScnMxHH33ExYsXNYpKFHZWw29ccv872P9Ob7301AthzebDbz777DOSkpKYO3cuO3fuZP/+/TZd4Clj1Zt0H3zwAXq9nlGjRqHX65kwYQKhoaE43xnSERAQwMCBA1m7di1PPfUUCQkJbNy4kTVr1tgsLpE7JhtXvgFZVVaIgjZ48GAaNWpE7dq18fb25vr16+zfvx9FUdi0aZPW4YlCKtF0t6e+ZC6H30BaWctLyZeINd7CaDHios9+bpwQxYnNe+p//vlndZGnJ554wqqMpC2sW7cu03h6Hx8fZs2aRdWqVenZsyevv/662kufbvr06SiKwuDBgxk4cCCLFy++79AbYV9WlW/q1bPJPfUZvr2xyMI3QthdnTp12LNnD7Vr1+bMmTPExcXx2muvceTIEVq0aKF1eKKQSu+p16GjZC5LWoL1uPpoqYAjhCpfPfUJCQlcunSJOnXqEBsbS1JSErVq1bK6plq1avkK8F5///13pmODBw9m8ODB932fi4sL8+bNs2ksIm8URVGH3+jLlcPJ3/8B78iZjEm9Ikm9EAUiKCiImTNnZjoeGxtr804dUTSkT5Qt5VwqT4sE3rsAVZBHkM1iE8KR5bmnfs+ePVSrVo1hw4YBULp0af78808GDhzI7du3H/BuUZxZrlxRJ7Laajw9SE+9EPZ29epVq4IDly5dynI7f/48YWFhGkYqCrMENanP3STZdFIBR4is5bmnfujQoXTq1IkSJdK+OtPpdLzyyiucOHGCd999l8WLF9ssSFG0ZBx6Y6vx9AB6Pz/1tST1QthevXr1aNu2Ld988w2QtqJsVhNiFUVBp9Mxe/bsgg5ROID0nnpP57wVqpCkXois5TmpL126NAsXLmTatGlWx/39/Zk/f74k9SJbGSvf2KqcJYDO2xt0OlAUSeqFsINNmzYRFHR3qMPAgQMxm800adIEJycn9bjJZGLRokVahCgKOYtisRp+kxeBGVaVjZIx9UKo8pzU16lTJ9OxpKQkFixYgLe3d76CEkWbyQ7lLAF0ej06Hx+UmBgsN2/a7L5CiDRNmjSx2u/Xrx9GozHLRfxq1KhRUGEJB5Jsujt8q6QMvxHCpvI8pr558+bMnz+f6Oho9u3bx2effUb9+vU5ceIEY8eOtWWMoohRh9+4uuJs41/86ePqpadeCPv7+uuvs0zof/nlFy5duqRBRKKwS8hQzjIvNeoh80RZIUSaPPfUd+nShZ07d/Ljjz/y1VdfYTAYqFOnDnPmzKFDhw62jFEUIUpKCqbTpwFwrl0bnYtt6wvrfX0xA8qtWyhmM7oMQwKEELZ18uTJLI9Xr16d5557jgsXLhRsQKLQy7jwlE0myqZIT70Q6fKc1MfHx/PEE0+w9f/bu+/wqKqtgcO/aamkkIQQCIGACCZ0UOxYgAgooqKACkrz0wsoPQgqIIqIUhSkKNIuCCIIiHIFVBD0XhHpvYiUUJKQkN5n5nx/hAwzJECYzORkJuv1yZPT5pw1CDsre9be++efbY6fO3euzEEJ92U8cgRMJgAMDpqf3pplsKyioKSlobnBysNCiFt38OBBRo4cyaZNmwD4/PPPS7yudevW5RmWcBFF9fRg/0BZP70fnlpP8sx5Mk+9EFbsTurffPNNZs+eXex4cnIyc+fO5f333y9TYMI9FRw4YNl2SlJvPa1lcrLNvhCi7Bo3bsyPP/7Ie++9x5YtW3j55Zdtzms0Gnx9fWnfvr1KEYqKzLr8xt6eeo1GQ6hnNeJyzklNvRBWbimpP3z4MDt37gTg2LFjLFmyBEVRbK45duwYs2fPlqRelMg6qXfUSrLWZK56IcrHO++8Q5s2bXjooYeKnTt16hT+/v4qRCUqOtvyG/tmv4HCEpy4nHMk51/GaDai15ZpLU0h3MIt/SuIioriwIEDvPbaa6SlpbFly5Zi1/j6+jJy5EiHBSjci/HgQcu2M3rqNZLUC1FuSkroARISEvj888/58MMPyzkiUdFlFFj31NtXfgNQ7cq0lgoKyfnJVPeqXubYhHB1tzT7jUajoXv37mzbto3BgwdjNpuLfWVkZDB27FhnxStcXFFPvaZqVbQ1azr8/tJTL0T5WbVqFWFhYej1enQ6neXr/vvvZ+7cuWqHJyqgtII0y3aAwf5Pc6wHyyZKCY4QgJ019U2aNLnuEuC///47t912m80CJUIAmFNSMJ8/D4ChcWM0Go3Dn2GzqqzMVS+EU73//vv069ePsLAw/vzzT9q3b4+iKKxatYp33nlH7fBEBZRqldQHeti/po1MaylEcXYXofn6+rJhwwaSkpIwm82W42fPnmXEiBFs377dIQEK9+HsenqQnnohylO7du2YOHEiAPHx8ZZBs9HR0Sxbtoy77777lu4XHx/PwIED+fnnn6lWrRrDhw/nX//6l+X8mTNniI2NpWbNmly6dIkpU6YQFhbmuDcknM62p74sSb1MaynEtexO6l999VXmz58PFJblFA2Y1Wg0MpWZKJGz6+nBNqlXJKkXwqkSExM5efIkdevW5cEHH+Szzz5j0KBBJCQksGTJEj755JNbul/fvn1p3bo1zzzzDAsXLmTAgAFUqVKFXr16kZ2dTdu2bZk9ezYxMTGsXr2azp07s337dnSyHoXLSM1PtWwHGgLtvo/01AtRnN0ryh4/fpxjx46RmprKhx9+aKmpnzx5MgsXLnRkjMJNSE+9EO6lU6dONGzYkFdeeYUOHTqwdetWqlevztNPP010dPQt3evQoUP07duX8ePH8+KLL7JhwwYaNmzIvHnzAJg1axa5ubnExMQA0KVLF44cOcKyZcsc/r6E8ziqp956YGxCXkKZYhLCXdid1D/00EPcfvvt+Pv7k5OTQ0ZG4Yj2p59+mv/7v/9zWIDCfRit56hv1Mgpz7CpqZekXgin6tGjB3///Tcff/wxAMuXL2fixIl8+umnfP/997d0r6CgILp27WrZ1+v1dOzYkctX/h2vWrWKli1bWs7rdDqaNWvGihUrHPBORHlxVE19qGeoZTshV5J6IaAMSf2JEyd4++232b59O7179+aFF17gxx9/ZOLEiezfv9+RMQo3oCgKBVfKb3QREWgDA53yHE1AAFwZgCsDZYVwrieeeIJFixYRdOUTMr1eT//+/Rk4cCCBt/hvvEaNGsUGzxuNRu655x5MJhO7du0i2OqXdoDQ0FD27NlTpvcgyldRT72PzhsPrYfd97Hpqc9NLHNcQrgDu2vqP/jgA/r164ePjw9jxozh+eef55lnniE/P5/x48c7METhDsznzqGkFTbmziq9AdDodGgCA1FSUqSnXggnO3r0qE3vurWEhASqVy/b3OFbtmzhm2++4fLly5hMJssvD0X8/PxISrpxPXV6errNvqenJ56enmWKS9gvNb/w50BZSm8AfPU++On9yDBmSE+9cDt5eXnk5eVZ9q9tx67H7p56o9HI119/zZgxYwB44YUXSEpKIjU1VaYyE8VY19MbGjd26rOK6uolqRfCudatW8fly5ct5ZdFCgoKeO+998p07zVr1tCuXTuio6MtPfje3t4215hMJgwGww3vExERQUBAgOVr0qRJZYpLlE1RT31ZBskWCbvSWx8vSb1wM5MmTbJptyIiIkr1OruT+vvuu4/Y2FibY76+vvj52b9CnHBfBVYlWfqmTZ36rKKkXklJQbGablUI4Vht27YlNjaWwMBAm8WnvLy8mDNnjt33TUlJYenSpXz00UcABAcH4+HhQVpams11mZmZVKtWraRbWMTFxZGWlmb5Gj16tN1xibLJNeWSa84FIKAM9fRFqnsV1tVnm7LJLMgs8/2EqChGjx5t027FxcWV6nV2l9/ExMTw4osvlnhu27ZttGnTxt5bCzdktErqDc5O6ovqbhUFJTUVzTUf2QshHKN///5cvnyZO++8E632ah+RyWRi6dKldt3TZDIRGxvLjBkz8PAorLnWaDQ0adKExETb2un4+PibTqHs7++Pv7/9K5cKx7Ge+SawjOU3AKFWdfXxufHUN9Qv8z2FqAjsLRO0O6l/9NFHmTZtGkePHiUg4Oo/zry8PObOncuuXbvsvbVwQ5aeeoMBfcOGTn3WtdNaaiWpF8IpXnvtNRRFoVatWsXO3XnnnXbdc/To0QwYMIDw8HDLscTERHr27Mn06dMtx4xGI0eOHGHEiBF2PUeUv6J6eih7TT1cLb8BSMhLpL6fJPWicrM7qV+wYAF//PEHGzduLHbu2hkMROWm5OVhPHoUAH1UFBoP+2c8KA2Zq16I8hEWFsbkyZNJS0tj8uTJJCcns3TpUh577DGa2vGJ3FtvvYXZbCYhIYENGzZgNBrZtm0bDz/8MP369WPatGns3r2bli1bsnr1aqKjo687UFdUPKkO7qmvbjOtpcyAI4TdSf3AgQMZO3YsMTExNkm82Wwu8wAp4V6MR46AyQQ4v/QGsCm3kaReCOeJjY1l5syZPPbYY0Bh7fuAAQPo3LkzI0aMoF27dqW+15QpU/jggw8AmDp1quV41apVmThxIgaDgY0bNzJ27FgiIyNJTk5m/fr1NmU/omJLK0i1bPs7pKc+zLIdnxtf5vsJ4ersTuqfe+458vPzi/XKa7Vahg0bVubAhPsoKMd6erimp17mqhfCaX766SdOnDjB119/bTlmMBh46qmnGDJkCAevrE1RGiNGjLhpKU1UVBQrV660O16hrpT8VMt2VY/AMt+vaKAsSE+9EFCGpN5gMFx3KjFnzYCTl5dHZGQk8fGFv5EHBQURFxeHj48PZ86cITY2lpo1a3Lp0iWmTJlCWNjV3+IVReHtt98mMTGR7OxsevToQefOnZ0Sp7BVnjPfgKwqK0R5ad26NXXq1Cl2/MCBA5w+fbr8AxIVWlL+1U6Wap4hZb6fbVIv01oKYXdSr4bFixfTu3dvy4ImDRs2xMfHh+zsbNq2bcvs2bOJiYlh9erVdO7cme3bt6PT6YDCWs3Tp0+zbNkysrOzueOOO6hRo4bdg7lE6ZXnzDdg21OvSFIvhNOEhoaSlZVl+cTWZDIxd+5cvvjiCzp16qRydKKiScq7ulBYiCOSek/rgbKS1AvhMkm92Wxmy5YtLF++vNi5WbNmkZubS0xMDABdunThpZdeYtmyZfTq1Yvz588zdepU1q9fD4CPjw+dOnVi1KhR/PLLL+X6Piqjop56bUgIWqtPT5xFBsoKUT5GjBjBwIED2bt3L7/++iv79+/nwoULtGrVqkzz1Av3ZJPUe5Q9qa9iqIKvzpcsU5aU3whBGRafOnXqVInH9+3bh6Iodgd0PWvWrOG7776jffv2rF692ubcqlWraNmypWVfp9PRrFkzVqxYARSuepifn29zTatWrdiyZUuxeY+FY5kSEjAnFPag6Js2LZeZkSSpF6J8BAUFsWjRIj777DPL4NiNGzeyY8cOatasqXZ4ooJJyrtafuOInnq4Oq3lxZx4p+QeQrgSu5P6jz/+uMTjQUFB9O/f3+6ArufcuXM8/PDD7Nixg65du9KrVy/MZjMmk4ldu3YRbFVHDYUfC+/ZsweAHTt2oNVqqVq1qs15RVHYt2+fw2MVVxkPHLBsl0fpDVxTUy8DZYVwugceeIB//etfDBkyhPbt26PRaNhvVXYnBFztqdeidchAWYCa3oW/PGaZskg3pjvknkK4qlsqvzl48CBr1qxBURR27tzJhAkTil1z/PhxfvzxR+bPn++wIAEGDx7M4MGDycrKIjY2ltmzZ9OiRQt69eqFyWQi6JoFhvz8/EhKKmxAEhMTCQwMtOklLhrMW3RNSdLTbRsIe1f4qszKe+YbAE1goGVbeupFZZOXl0deXp5l/9p2rCz+/e9/l+o6k8nE8uXL2bRpk8OeLVxfUn7hz9tgz2C0GsdMRVrL5+oiZeeyz9sshilEZXNLSX3jxo3JysqiR48eJCcnc+nSJZvzGo0GX19fPvroI4cGac3X15dZs2aRkpLC3LlzeemllwDw9va2uc5kMllm59FoNCWeB647gw9ARESEzf64ceMYP358Wd9CpVLeM98AaHQ6NIGBKKmpktSLSmfSpEm8++67Trn37Nmz2bFjR6mulUUIhTVFUSzlN44qvQEI976a1J/POU+jgGiH3VsIV3PLA2Xvvvtutm3bxuzZs5k0aZIzYiqVMWPG0LJlS4KDg/Hw8CAtLc3mfGZmJtWqVQOgRo0abN26tdh5wHJNSeLi4vD397fsSy/9rbPMfKPVYoguv8ZWGxSEKTVVZr8Rlc7o0aNt1gpJT08v1kFhrzfeeIMaNWrw0EMP3XDRJ5PJxIcffuiQZwr3kGnMJM9c+AlSiEfwTa4uvVpWSf25nPMOu68Qrsiuz78iIiKYOHFiiee2bt3KkSNHyhRUadSrV49atWqh0Who0qRJsQGv8fHxtG7dGoBmzZqRmZlJdna2zXm9Xm8zePZa/v7+Nl+S1N8axWik4PBhAPQNGqC55tMSZyoaLGtOSUExm8vtuUKozdPTs1jb5SjdunXj3nvvvekqrjqdjpEjRzrsucL1XbKa+cYRc9QXCfe+OiD7fPYFh91XCFdk95SW2dnZLF26lKSkJMxWSdOFCxfKJbHfuXMnffv2BaBnz55Mnz7dcs5oNHLkyBHL6oTdu3dn2LBh/PnnnzzyyCMA7N+/n5iYGKctlCXAePw4XKnt1TdpUq7PtgyWNZtR0tLQWA2SFkLYR6/Xo9df/bFhNBr56KOPSEtLY/LkySQnJ7NkyRI6dOjAHXfcoWKkoqIpqqcHCPF0YE+9j235jRCVmd1Jfe/evfnhhx+oWrUqZrMZHx8fAFJTU+nQoYPDAiy6Z58+fRg4cCDt2rXj5MmTLFy4kM8//xyAfv36MW3aNHbv3k3Lli1ZvXo10dHRdO3aFSgssRkwYABr1qzhkUceISMjgx9//LHY1JjCsQr27rVsG5o1K9dn20xrmZyMVpJ6IRxu1KhRzJw5k8ceewyA4OBgBg4caJnesl27dipHKCoKZ0xnCVdnvwEpvxHC7qQ+MzOTpKQkPDw8mDJlCmPGjAGwzErjSF5eXmRlZfHEE08QHR1Np06dmDt3Lh4eHkDhTDYbN25k7NixREZGkpyczPr1620+Iv74448ZNmwYb7zxBikpKcyfP/+GpTei7IxW04Uamjcv12drQ68uH25OTIT69cv1+UJUBj/99BMnTpzg66+/thwzGAw89dRTDBkyhIMHD6oYnahIHL2abBFvnTchHsEk5SdLT72o9OxO6u+66y6qVKkCgFarJT4+nrCwMDp06EDXrl0tc8Q7gpeX102nRouKimLlypXXPW8wGJg5c6bDYhI3V2Cd1Jd3T71VUm+SBcaEcIrWrVtTp06dYscPHDjA6dOnyz8gUWE5ejVZa+He4STlJ3MxJx6j2Yhea3dqI4RLs3ui2DNnztCzZ0/WrVtH//796d69O3PmzGHAgAGcPXvWkTEKF1WU1GuCgtCGh9/kascq1lMvhHC40NBQsrKyLNNXmkwmZs2axRdffEHbtm1Vjk5UJLblN46rqQcIv1JXb8ZMfG6CQ+8thCux+9fZ6dOnM3LkSBITEwkJCWHs2LH07t2b3Nzc6642KyoPU0IC5vh4oLCXvrznrNZVr27ZNidIIy+EM4wYMYKBAweyd+9efv31V/bv38+FCxdo1aoVc+bMUTs8UYHYDpR1bE99rWvq6q0HzwpRmdid1AcHB7NgwQLLftu2bYmLi3NIUML1FahYTw/SUy9EeQgKCmLRokX8/vvvHDhwgJiYGBo1akS7du1k8Slhw1k19WC7AFVcdhz3BLd26P2FcBV2J/UZGRkMHz6cvLw8Fi9eTHJyMgsWLKBVq1Y8+uijjoxRuCCjivX0IDX1QpSnBx54gAceeICsrCxycnIkoRfFFJXF+Oi88dX5OPTetX1qW7bPZkv5r6i87K6pHzx4MN99951lQafg4GBGjhzJrFmz+OqrrxwWoHBNag6ShWt66qX8Rgin+O233wgODmbevHkA+Pr6snnzZoYNG0belTUqhFAUhQs5hQtD1fSu6fBf+ur4Xk3qz2RJUi8qL7uT+j179nDs2DHuvPNOm+MxMTGMGzeuzIEJ12aZo16vRx8VVe7P1/r6ovH1BaT8RghnGTlyJJ07d7b5dLZbt24EBARYFv8TIqUghWxTDmA7r7yj1LHqqT8jPfWiErM7qb/vvvsIDAwsdvy3334jUZKoSs2ckYHx8GEA9I0bo/H0VCWOot56SeqFcI5WrVqxaNEibrvtNpvj9evXt5m7XlRu/2SesmzX9Y10+P39DH4EexQuOHgm64zD7y+Eq7A7qQ8NDeXixYuWj9FSU1MZOXIky5Yt4+mnn3ZYgML1FPz1FygKAB733qtaHNorM+CYk5NRCgpUi0MId5WdnY3JZLI5lpWVxaxZs/D29lYpKlHRnMz8x7J9W5V6TnlGHZ/C9RIu5saTa8p1yjOEqOjsHig7atQoYmNj+f7771m0aBGnT58mNzeXp59+mhkzZjgyRuFi8rdvt2x73H23anHoQkMpSuXNSUnoatRQLRYh3NGLL75IixYt6NGjB8HBwRw/fpyvvvqKxMRE5s6dq3Z4ooI4mXnSsn2br5OSet/a7E7dg4LCuexz1PeTVcRF5WN3Uu/l5cWMGTMYMWIEhw4dIi8vj+joaBo0aODI+IQLKvjzT8u2xz33qBbHtdNaSlIvhGO1a9eOzz77jPHjx7Njxw48PT1p1KgRCxYsoFOnTmqHJyqIk1nO76mP9L26svHp7DOS1ItKqcxrKdeuXZvatWvbHPvuu+/o0qVLWW8tXFT+X38BoAkMRHf77arFobVagMqUkIBBtUiEcF9t2rRh8+bNaochKrCi8hu9Rm8z/aQjFZXfgMyAIyovu5P68+fPM336dI4ePUpubi5msxkoXCZ83759pKamOipG4ULMly9jvngRuLKSrNbuYRtlJgtQCeFcReuV5Ofns2jRIpKTk5k/fz533nmnrFciADArZk5lFQ6UjfStg15b5r7EEllPa3k6WwbLisrJ7n9dHTt25NKlS7Rp04aQkBCbeWdlZdnKq+DIEcu2PjpaxUgKa+qLyFz1Qjje4MGDWb9+PW3atAEK1yuJjY2la9euXLx4kRdffFHlCIXaLuRcJOfKwFVnld6AbfnNKavZdoSoTMrUU//nn39Sv37xurWffvqpTEEJ12U8dMiybVA5qbcuv5GeeiEcr2i9ks8//9zmeNF6JZLUC+tBsvWcNEgWoKZXTXx0PmSbsjme+bfTniNERWZ3bcSoUaM4f/58iefCwsLsDki4tqL56QH0jRqpGIlt+Y1JknohHE7WKxE387fVdJb1q9x2gyvLRqPRcHuVwk7GM1lnyLmy2JUQlUmpe+r//e9/2+yHhYUxffp0Tp06hdaqbtpsNvP111+zYcMGx0UpXIZNUl+Reuqv1PkLIRynpPVKJk6cyLJly+jVq5fK0YmK4EjG1ZLM2508I00Dv9vZl7YfBYWTmf/QOEDdjiUhylupk/pZs2bx15VZTaytW7eu2DHr+npRuRRcSeo1QUE2PeVq0AYHg6cn5OVhus6nSkII+91ovZKZM2eqHZ6oAA6lXS3JbOTv3I6eBn5XZ1s7kfG3JPWi0il1Uj9w4EDq1q3LAw88cMOk3WQy8e677zokOOFazOnpmK8kz4aoKNV/udNoNOhq1sR06pQk9UI4gaxXIm7EpJg4nF7YUx/pG4mfwc+pz2vgd/Xv3bGM4059lhAVUamT+h49emA2m2+aqOl0Ot58880yByZcj/HoUcu2PipKxUiu0oWHYzp1CiUlBSUnB40sXS+EQyiKwu7duzl79iyKolCvXj2aNWum+i/zouL4J/OUZeabxk7upQdoYFXecyLzhNOfJ0RFU+qBsh4eHnh5eZXqWh8fH7sDEq7LaD2dZQVJ6rXh4ZZt6a0XwjGmTZtGREQErVu35tlnn+W5556jVatWREZG8uWXX5bp3rm5uXz66afcU8Jq1GfOnKF79+4MHTqUnj17Eh8fX6ZnCec6aFV6Ux6lMHV86uCh9QAKy2+EqGycswqEqJQqYlKvuyap15cwBasQovR69OjBN998Q7Vq1ejWrRt16tRBo9Fw9uxZtmzZwquvvsqhQ4eYPn36Ld/baDSyfPlyvvjiC7KysmzOZWdn07ZtW2bPnk1MTAyrV6+mc+fObN++HZ1O56i3JxyovJN6vVbPbb71OJJxlL8zT5JnysNT5+n05wpRUUhSLxymopbfFJGeeiHKZtmyZaxatYpJkyYxdOhQPDw8bM4bjUY+++wzYmNjefLJJ3nkkUdu6f56vZ4+ffpw7Ngxvv76a5tzs2bNIjc3l5iYGAC6dOnCSy+9JDPtVGAH08s3qQdoFBDNkYyjGBUjxzKO0zSwSbk8V4iKwO556jMzM6977sCBA/beVriwotVkNd7e6GrXvsnV5cM6qTdLUi9EmSxZsoSpU6cyatSoYgk9FCblQ4YMYe7cucydO9fu55RU6rlq1Spatmxp2dfpdDRr1owVK1bY/RzhPIqisD91PwBBHlWp4VWjXJ5rncQfSDtYLs8UoqKwO6lftmzZdc99+OGH9t5WuCglPx/TycKVA3UNG6LR2v1Xy6Gkpl4Ix0lJSWHw4ME3va5v376kpKQ47Lkmk4ldu3YRHBxsczw0NJQ9e/Y47DnCcU5mniQ5/zIAd1ZtVW4DqJsGXE3q96dKB6OoXOzOvGbOnEl2drbNsdTUVDp37lzsY1Ph/ozHj4PJBBROZ1lRSPmNEI5Tt27dUl8bGRnpsOdevnwZk8lEUFCQzXE/Pz+SkpJu+Nr09HSbr7y8PIfFJa5vx+Wdlu3WQXeV23Oty3z2p0lSL1xTXl5esbarNOxO6uvUqUOfPn0sif3//vc/mjdvzq5du2jfvr29ty1RfHw8Xbt2JSAggPr16zNnzpxi1zz99NNoNBrL1/bt2y3n8vLyeO211xg0aBA9evSwOScco8Cqt0zftKmKkdjS1axp2ZakXoiyyc3NLfW113b6lEVRL6/3NVPSmkwmDAbDDV8bERFBQECA5WvSpEkOi0tc35+Xd1i2WweXX1Lvb/An0jcSgMPphzEppnJ7thCOMmnSJJt2KyIiolSvs3ug7Lp16zh+/Di9e/emSZMmTJgwgQ4dOrBo0SKHT2nZt29fWrduzTPPPMPChQsZMGAAVapUsQyOOnbsGAaDwTLbgq+vr810aH369CEyMpIPPviAixcv0rx5c/766y9qV5C6b3dQsHu3ZdtgVfeqNo2nJ9qQEMxJSVJTL0QZ/fXXXyxcuBBFUW56rSM7T4KDg/Hw8CAtLc3meGZmJtWqVbvha+Pi4vD397fse3rKbCjlYUdy4Qr0Bo2BZoHl29HTNKAxp7NOk2PK5e+MkzT0l8XQhGsZPXo0w4YNs+ynp6eXKrG3O6nXarXccccdTJgwgY4dOzJt2jRef/11AObNm8crr7xi761tHDp0iL59+/Lss88C0L17dxo3bsy8efMsSf1nn33GZ599RmhoaLHX//XXXyxfvpwTJwoXoqhRowYtWrTg3XffZf78+Q6JUVyT1LdooWIkxWnDwzEnJWG6cAHFZEIj098JYZcLFy7Qr1+/Ul3ryBpqjUZDkyZNSExMtDkeHx9P69atb/haf39/m6ReOF9SXjIns/4BoFlgU7x15bvoX5OAxqy78ANQWIIjSb1wNZ6ennZ1QJS6/KZp06bUq1ev2FenTp0wGo1Mnz6devXqUadOHQYOHHjLgVxPUFAQXbt2tezr9Xo6duzI5cuFA3AuXrzI/PnzLb9YXFsvuWrVKvz8/KhvNT95q1atWLlyJWaz2WFxVmaK2Wwpv9FFRKC7Sc9ZedMX1fYajVKCI0QZPP/88xw6dIhTp07d8OvgwYN069bNoc/u2bOnTe+/0WjkyJEjlg4fUXH8ZV1PX46lN0WaBTazbO9K2X2DK4VwL6Xuqb/vvvvIysqiXr16aG8ws4nRaOT77793SHBQ2LNe0jOKymsOHDhAx44d2bFjB8OHD2fJkiVs2rTJ8pHsjh07SpwxISMjg5MnT3L77bc7LNbKynTyJEpGBlCxSm+K6KwG95n++Qe9lF0JYZdBgwYRVcqB8G+88YbdzykoKMBoNNoc69evH9OmTWP37t20bNmS1atXEx0dbdPpIyoGm3r6chwkW6RV1RZo0WLGzJ/JO27+AiHcRKmT+oEDB1K7dm0CAgJueF1KSgpt27Ytc2A3smXLFr755hsAYmJiiImJQVEUvvzySwYNGkS/fv1Yt24dAImJiSXOmACQlJR0w6T+2tHG9n4c4u4qaj19EV29epZt06lT8PDD6gUjhJPl5eXZfGJZ2lkTSuPee+91yrXWvv32W9atW8fFixf55JNPeOGFFwgNDcXPz4+NGzcyduxYIiMjSU5OZv369TfsZBLqKKqnB7gr6M5yf76fwY9GAdEcSDvI4fQjpBek42+QEizh/kqd1DdpUrpV2Y4dO8aBAwd42EmJ05o1a2jXrh3R0dE2xzUaDa+88gqKovDqq69y/vx5wsPD0Wg0Jc6YAJRq1gRr48aNY/z48WV/E27GJqlv1UrFSEqmt+qpN/7zj4qRCOF8kyZN4t1331U7DLt17dr1ur3vUVFRrFy5spwjErci25hjmUryNt96VPMMUSWOu4NacyDtIAoKOy/v4tHqt7a6sRCuyO4ujm3btnHPPfdQv359mxr7xx9/nLFjxzoyRouUlBSWLl3KRx99dN1r+vXrR2hoKGfOnAEKy3dKmjEBKNWsCWlpaZav0aNHl/EduKd8V+upF8KNjR492qbdiouLUzskUYlsv/wn+eZ8AO4Lse/TGke426qW37ocSAh3ZvfsN0OGDCEqKor777+f48ePc+edhR+xbdq0iTfffNNhARYxmUzExsYyY8aMEpcnL6LT6ahTpw61atUCoFmzZuzfv9/mmvj4eMLCwm46paXMmnBziqJYeuq1YWHoShgDoTad1SI40lMv3J2UCQo1bU3cZtl+qNqDqsVhXcv/e9L/VItDiPJkd0/9fffdx1dffcXUqVNp3rw548aNY9y4cbz33nvFkmhHGD16NAMGDCDcaoXQa6c3A8jIyCAiIsKSsPfs2ZPExEROWfXQ7t+/n2eeeabclq12Z6bjx1GuzERUEXvpAbQ+PmjDwgDpqRdCCGfaeqkwqdeg4YFq96sWRw3vGtxepXDWu12Xd5Oan6paLEKUF7uT+vz8fEtteuPGjVm7di1QuOLfzJkzHRJckbfeeguz2UxCQgIbNmzghx9+IDY2lp07dzJgwABmzZqFyWQiIyOD2NhYJk+ebHlt8+bN6dKlC2vWrAEKS2r27dsnpTQOkvnJJ5Ztzwo8ALWoBMccH485K0vlaIQQwv0k5l7icPoRoHB++iCPoJu8wrkeDX0YADNmtl36TdVYhCgPdif1jRo1wsPDg6FDh9KtWzdmzJjB3XffTUxMTImLQNlrypQpfPDBB0ydOpWOHTvSsWNHOnfuzJdffkn79u3x8/PjzTff5Pbbb+eNN97g7bfftpmTHmDJkiXs27eP4cOHM3r0aNavX28pzxH2M50/T/aCBQBoqlTBp5SL0qhBbzXLkenKQmRCCCEcxzpxVrP0psij1R+1bG9O/FW9QIQoJ3bX1A8ePJgWLVpQs2ZNNBoNa9eu5eOPP6ZNmzYOXXxqxIgRjBgx4rrnJ0+ebNMzXxI/Pz8WL17ssJhEocypUyG/cECU78CBaIPU7ZW5Ef0dd1i2C44cwdC8uXrBCCGEGyoqvQFoUwGS+nuD78Zb50WOKZdfErZgVsxoNTIFqnBfdif1AC1atODs2bNA4UDWV199VXrAKwlTUhLZn39euOPlhe/QoeoGdBN6qwVzjEePqhiJEEK4H0VRLD313jovVRadupaXzosHQx5gU8LPJOQlsDNlV4WISwhnsftX1u3bt3Pbbbcx9EoyFxgYyO+//86AAQPIyclxWICiYsqaORMlOxsA3/790VWvrnJEN2aw6qk3HjmiYiRCCOF+DqQd5GJuPAD3Bt+Lp65izMDUueYTlu115x232r0QFZHdSf2QIUPo0qWLZclwjUZDjx49CAkJYdCgQQ4LUFQ85owMsmbMKNzR6/G9QXlURaGrVw+uLDYmPfVCCOFY/7m4wbLdISxGxUhsdagRg0FT2PZ/d/4Hyxz6Qrgju5P6wMBA5s2bR82aNW2Oh4SEWGaaEe4pe+5clNRUALx79kRfp466AZWCxmBAf2UAtfH4cZQrMzcJIYQoux+tkvqONR5TMRJbAYYA2lVvC0BCXgJfnVmuckRCOE+ZZr+5VlZWFl988QUBAQFlCkpUXOa0NDI+/LBwR6OhyqhR6gZ0Cyx19Xl5Ml+9EEI4yD+ZpziSUfgJaKuqLanuVbHKMYc0eN2yPeXYdDIKMlSMRgjnKdPiU5999hlJSUns2LGDOXPm0LRpUw4fPsyYMWMcGaOoQDInT7YsNuXds6dNrXpFp4+OtmwXHDigYiRCCOE+fozfaNnuVKOjipGUrEXV5jxRoxMAl/IuMf34DJUjEsI57E7qu3btStOmTdmzZw+dO3dm9OjRhIWF8d133/HKK684MkZRQRhPnSJz+vTCHQ8P/CZMUDegW2Ro0cKyXbB7t4qRCCGE+7AuvXm8RgcVI7m+cY3ewVNbOHj385Pz+CdTPq0V7qdMU1q2adOGn3/+2VGxiApMURTSXn8dcnMB8H39dfSRkeoGdYtskvo9e1SMRAgh3EN8Tjx/Xd4JQEO/BtSrUk/liEpWx7c2/7rt//jkxEwKlALGH3qPf9+9QO2whHCoW+qpP3bsGAMGDKBz587ExsZy4cIFZ8UlKpjctWvJW78eAG3NmviNG6dyRLdOFxmJJjAQkJ56IYRwhJXnVqOgAPBEzcdVjubG3mjwOtU9C+v9N8Rv5NfEbTd5hRCupdRJ/d69e2ndujVz585l/fr1TJkyhaZNm0piX0lkTpxo2Q749FO0fn4qRmMfjUaDoWVLAMwXL2KKj1c5IiGEcF2KovBN3ErLfreIZ1WM5uaq6H15O3q0ZX/kvjfJNGapGJEQjlXqpH7cuHFERUXxww8/cPToUf7zn/9w++23M3XqVGfGJyoAU1wcBbt2AaBv3hyvrl1Vjsh+NiU4O3eqGIkQQri2van7OJZxHIB7gu+mrm+kugGVwnMRXbk7qDUAZ7LP8O6h91SOSAjHKXVSf/LkSTZv3kynTp1o0KABHTp0YOPGjdJTXwnkfvedZdv76afRaDQqRlM2HvfcY9nO/+03FSMRQgjX9vXZbyzbPSK6qRhJ6Wk1Wj5tMQ0fnTcAi08vYXPir+oGJYSDlDqpj4yMxMfHx+aYv78/DRs2LHbtypUrix0Tritn7VrLttdTT6kWhyN4tGlj2c7bulXFSIQQwnVlG3NYfX4tAN46LzpX8Hp6a/Wq1GVco3cs+0P3DCetIE3FiIRwjFLPfnPw4EEWLlyIoijFji9YcHUEeXZ2NgsWLOC5555zXJRCFYqikP355+T/8gtQONBU36SJylGVjS40FP0dd2A8epSCXbswZ2airVJF7bCEEMKlrDr3rSUR7lzzCfwMrjXOqnfkS/zn4ga2XtrGxdx4hu+NZd6dc136k2ghSp3Unz17ln79+pV4bvXq1Tb78o/C9SlmM6kvvkjO119bjnm/8IJb/L/1eOghjEePgtFI/v/+h1dMjNohCSGEy1AUhS//udqZ90q9knODikyj0fBJiyk8tLkd6cZ01l34gajjnzC84VC1QxPCbqUuv3n++ec5dOgQp06duuHXoUOH6NGjhzNjFuUgd+1a24T+5Zfxe+edG7zCdXg+8ohlO+8//1ExEiGEcD1bL/3G0YxjALQOuotmgU1Vjsg+4d7hzG41Aw2FnVWTj05hxVkpHxauq9Q99YMGDSIqKqrU1wrXpZjNZLz7rmU/cPFifF56ScWIHMvzscdArwejkdzvvsN/+nS3+ARCCCGcTVEUPj52dda7/3PBXnprMWHteSt6NO8f/gCAN/YMRavR8lyE687yJiqvUvfU33vvvaW+6a1cKyoWJSeH9JEjMe7fD4ChdWu8e/VSOSrH0gYG4vHwwwCYTp/GeOCAugEJIYSL+PXSNpsVZB+v2UnliMru9foD6Fu3NwAKCoN2D2bmidnFxhAKUdHd0oqywr3lbd5MYtOmZE2bZjnmN368W/Zie1vN4pOzfLl6gQghhItQFIWPjk6x7I9oOBSdRqdiRI6h0WiY1OR9ekcWfiKtoPDe4Yn8a9cgmRVHuBRJ6gXG48dJ6d2b5LZtMf39d+FBgwG/Dz/Eq2NHdYNzEq9nny0swQGyFy5EKShQOSIhhKjYvj23hl0puwG4w68hnWs+oXJEjqPRaJjc9ANi7xhhObb6/Foe2tyWXxI2qxiZEKUnSX0lpSgKuRs2kPTooyQ2bEjO4sWWcx7330+1vXvxGzVKxQidS1e9Ol5dugBgTkiwWWBLCCGErdT8VMYeujrW6u3o0Wg17pVCaDQaRjQcyvy7Psdf7w/AhdyLPL+9F93/eJEDaQdVjlCIG3Ovf5HippT8fHK+/pqkVq243LEj+Vu2WM5p/P0JmDuX4G3bMERHqxhl+fD5v/+zbGe8/z6K2axiNEIIUXG9f2QSSXlJAHSq0ZGYsPYqR+Q8nWs+wdZHf+bBkAcsx7Yk/krbXx/juf89z+bEXzEpJhUjFKJkGkVGghSTnp5OQEAAaWlp+Pv7qx1OmRlPnyb/99/J/+MPcletwpyYaHNe16ABvv/3f3i//DK6kBCVoix/iqKQdNddFOzaBUDVFSvw7uYaS50LUVru1p6VVmV9387w/YUf6PfXqwD46Hz4b9tfCfcOVzeocmBWzKw5/x0TD0/iXM55m3NhXmE8Ff4kj9foRMuqzTFoDSpFKSqD0rZnktSXwB1+GJgzM8n99luy588n/7ffSrzG0KoVVcaMweupp9BoK+eHNrn/+Q+XHy9c3lwbFkbo4cNoq1ZVOSohHMcd2jN7VNb37Wh/Z/xNzLbHyTRmAjC56Qf0qfuyylGVrxxTDsvOrGDuyS84k32m2HlfnS/3htxN66C7aBLQmMYBjanuFapCpMJdSVJfBq72w8CckkLBrl3k796N8dAhjEeOYDx4ECUnp/jFej1eTz+N77/+hcfDD7vlzDa3QlEULnfuTN769QB4delC1dWrK+0vOcL9uFp75iiV9X07UnxOPE/8/hRns+MAeKbW08xpObPS/twwKSb+c3EDK+NW8UvCFgqU60+wUNUQSG2f2kT41KKWTy1CPIKp6lGVQI9AqhoC8Tf446XzwlPriZfOCy+dJ15aLzy0HpX2z1dcnyT1ZVCRfhgoOTmYzp3DFBdX+P38+cLvZ85gOnsW09mzKGk3nnJLHxWFd/fueNx/P4a77kIbEFBO0bsGU1wciU2aWP4cfV55hYA5c9DoXH+qNiEqUntWnirr+3aUvzP+puefvfkn6xQAUf5RrH/wO6rofVWOrGJIyU9hw8VNbE36jd8u/c6lvEsOu7dBY0Cn0Vm+9FodWo0OvUaPXlO0feWcRo9Oq0OH7XU6jRYNWqv7aNFqtGivbOs0OrQUHrN+lkajQcfV12g0tve4es8r99DortxDi46ifc11XlMUh9Vriu6B7b5Oo71yTGcZkK1Bw5XFf9Fc+Q+w/BJkcwzNNcexXGu1V/JrNdfe5+ozS3729Z5ZdM3V/aLzPjqfWyrZKm17VuoVZd3B5s2bmTt3LqGhoRgMBj7++GP0euf/EShmM0pGBuaUFJTUVMwpKZhTU1FSUizbJZ67dAlzUtKtP1CjQRcZiWf79vi8/DKGe++V3/xvQBcRQdUVKwrLcEwmsufNwxQXR+CCBehq1FA7PCGEFbXa8cpkx+W/eOGPl0g3pgMQ4V2LFfcslYTeSlWPqjxfpzvP1+mOoiicyPyb/akHOJB2kINpBzmVdZoLORcxc+sTMBQoBTf8FEC4vqV3L3LKYPNK01O/b98+HnvsMQ4ePEhISAhvvPEGOp2O6dOnF7vWnh6e7CVLyN+2rcSEXUlLA2fMrOLhgS4iAl3t2hgaNcJw110YmjZF16ABWh8fxz/PzWUvW0bqyy+D0QgUzgbk+8Yb+L72Grpw9x8UJtyTO/VYO7sdF7AxfhP/2vW6pYY+yj+KpXcvIsKnlsqRuZ4CcwEXci5yPuc8KfmppBSkkJKfSmp+KhnGDPLMeeSacskx5Vq280x5GBUjRsWIWTFf2TZhVkwYzUZMihmTYsSkmDAqpivbhdfJjDyu46u7F9M+rF2pr5fym2s8/vjjVK1alaVLlwKwfft2HnjgAf7++28iIyNtrrXnh0Fq//5kz5/vsHg1VaqgDQ5GV6uWJXHX1qqFLjy88KtOHbShoVL77WB5P/9MSq9emOPjrx7UaPC4/348HnqosISpaVO0NWvKpx/CJbhTcuvsdrwyyjbmcCrrFKeyTrP2/Hesu/CD5dxD1dqwsPWX0kPvIhRFwYwZo9mIGTMmxYxZMWFSTFe2r+xzzb5ixqSYrrzGhFmx/m59DxNmlOL3xHbf+h5F97XZV6zugXUctrEUvUZRFIr+g8IVf69NXa2P2VyrlPy6q0cLtynFa68eK/mZXPc5CoqCzb1G3TGCllVblPr/rZTfWElPT2fTpk1MnjzZcqx58+YoisKqVasYMWLEDV5dOpprZ0zR6dAGBqKpWhVtYCDaqlVtt698t9m2ul4jHyerwrNdO0IPHiR9zBiyFywo7LVXlMIpQX//3XKdxtcXfYMGaMPD0VWvjrZ6dbQhIWiqVCn8hczXt3Db1xcMBjQGA+j1hf9fi75bH9Norn6Bzb7mBueufZ38oiHcVXm04452vSSjpGO2iQeWbcv3kl5XLKm4+vp8cx655jzyTIU9wLnmPJLzkvkn6xSns07zT9Y//JN5iou5Vh0YVjrV6MjsljPx0Xs79M9EOI+lHl7Gg1ValSJz3LNnD0ajkeDgYMsxLy8v/P392bNnz3Vfl56ebrPv6emJp6dnidf6vv46Pr16WRJ0TZUqkmC5KG1wMIGff06VMWPIXriQ3K+/xnjsmM01SlYWBXv2wA3+/qjK+peAW3mNPc+phM+45X/bDozJf/p0fF955bovy8vLIy8vz7J/bTvmqsqjHe+74xU2JxYuyHc14b42YS5dou6qQjxDGHXHCF6q01N+hgmhEnvb8UqR1CdeWWwpKCjI5rifnx9JNxiIGhERYbM/btw4xo8fX+K1+tq1oXbtsgUqKhR9nTr4jx+P//jxmM6fJ/+//yX/zz8xHj2K8dgxTKdOOWeshCMoV3v2hOOp+id7ZczH9UyaNIl33323nIIpP+XRjueZ88g2lTAVsJsK9giirm9d6lWpS13fSG6vUp+21dviq5cxWUKoyd52vFIk9UW9Dd7eth8jmkwmDIbrTykUFxdnU7t0vd4d4f504eF4d+tms+KsYjRiTkrCnJCAKSEBc3IySlZW4Vdm5tXvRiMYjZbvFBTYHisosCThinUyXrR9na+bXmsPF3md3UOB3OB12muS2muNHj2aYcOGWfbT09OLJbauqDza8QifCKL87rhazlb07OtNVXfN8avHsH6lJX7ra0o6Zj11nvW0eyVfW/LUeUXHPLSeeOo88dZ64anzxFPrib/BrzCJ961L3SqRBBhkemMhKiJ72/FKkdTXuDItYdo187lnZmZSrVq1677O399fBliJ69Lo9ejCwtCFhSELhIuK4kblJa6sPNrxD5tOtD9AIYRwEHvb8UoxdUpUVBQGg8Hy8S1AdnY26enptG7dWsXIhBBClIa040IIcWOVIqkPCgqiU6dObN++3XLswIEDeHh40LlzZxUjE0IIURrSjgshxI1ViqQe4O233+aXX34hOzsbgMWLFzN48GBq1XLcghp5eXmMHz/eZsSyO5H359rk/bk2d39/pSHteNnJ+3Nt8v5cm7PfX6VZfApg7dq1rFixgpCQEAICApgwYQLaEhZvsnfREndf7ETen2uT9+fapF0qJO142cj7c23y/lybs9ulSjFQtshTTz3FU089pXYYQggh7CTtuBBClKzSlN8IIYQQQgjhripVT31pFVUk3epKjEXXu8sKjteS9+fa5P25NnvfX9H1lajSEpB2/Hrk/bk2eX+uzdnteKWqqS+tc+fOucViLUIIUSQuLs6hA0orOmnHhRDu5mbtuCT1JTCbzVy4cAE/Pz/Lqn1CCOGKFEUhIyODmjVrljig1F1JOy6EcBelbcclqRdCCCGEEMLFVZ5uGyGEEEIIIdyUJPVCCCGEEEK4OEnqHWTz5s1069aNQYMGMXToUIxGo9ohOUx8fDxdu3YlICCA+vXrM2fOHLVDcprLly8TGhrKr7/+qnYoTrFp0yaGDRvGnDlzOHz4sNrhOERBQQHvvPMOb7/9Nu+//z79+/fnzJkzaodVZrm5uXz66afcc889xc6dOXOG7t27M3ToUHr27El8fLwKEbofacfdg7Tjrscd23FV2nBFlNnevXuV6tWrK5cuXVIURVFef/11ZciQISpH5TgdO3ZUxo0bpyxdulRp27atAij//ve/1Q7LKfr166cAypYtW9QOxaHMZrMybNgw5ZVXXlEKCgrUDsehxo4dq3z00UeW/f/9739K06ZNVYyo7AoKCpQFCxYo0dHRSp06dWzOZWVlKbfddpuyceNGRVEU5dtvv1XuvPNOxWg0qhCp+5B23H1IO+563K0dV6sNl6TeATp16qS8+OKLlv0//vhD0el0yqlTp9QLykEOHjyorFy50rJfUFCgNGzYUHnwwQdVjMo5tm3bpvTp08ctfxiMGTNGefTRR90y8WvatKmyYsUKy35OTo4CKElJSSpG5RijRo0q9gPho48+UsLDwy37RqNR8fX1ddsErbxIO+4epB13Te7ajpd3Gy7lN2WUnp7Opk2baNmypeVY8+bNURSFVatWqRiZYwQFBdG1a1fLvl6vp2PHjly+fFnFqBwvPz+fadOmMWrUKLVDcbg///yTjz/+mIULF6LT6dQOx+FCQkKYOnUq+fn5APz3v/+lcePGBAcHqxxZ2Xl5eRU7tmrVKpv2RqfT0axZM1asWFGeobkVacfdg7Tjrstd2/HybsMlqS+jPXv2YDQabf7ieXl54e/vz549e1SMzDFq1KhRbI5no9FYYo2YK5s8eTJDhgzB09NT7VAc7r333qN169YsWrSIdu3acf/997N582a1w3KYt99+m127dtG+fXt27tzJ+++/z5o1a9QOyylMJhO7du0q9oMuNDTULdobtUg77h6kHXddlaUdd3YbLkl9GSUmJgKFPSHW/Pz8SEpKUiMkp9uyZQvDhg1TOwyHOXHiBPHx8Tz00ENqh+JwWVlZ/PTTT9SsWZPBgwfz448/Eh4eTqdOnTh16pTa4TnEI488wldffcUff/zBvffey/Tp06lfv77aYTnF5cuXMZlMlaq9KQ/Sjrs+acddW2Vpx53dhktSX0ZFvR/e3t42x00mEwaDQY2QnGrNmjW0a9eO6OhotUNxmLFjx/Lee++pHYZT/PPPP+Tn59O9e3cCAgIwGAxMnDiRvLw8Zs6cqXZ4DnPhwgVee+01fH19iYmJ4eDBg2qH5BSVrb0pL5Xtz1Xacdci7bj7cHZbI0l9GdWoUQOAtLQ0m+OZmZlUq1ZNjZCcJiUlhaVLl/LRRx+pHYrDLF68mMcff7zYb83uIjMzE4AqVapYjt1+++1ERERw/PhxtcJyqMWLF/Pf//6XGTNmsG3bNgC6dOlCQUGBypE5XnBwMB4eHpWivSlP0o67NmnHXV9laced3YZLUl9GUVFRGAwGy8e3ANnZ2aSnp9O6dWsVI3Msk8lEbGwsM2bMwMPDQ+1wHGbRokX06tULjUaDRqOhbt26QOFHgQ8//LC6wTlArVq1AIoNiKtevbrb/AAcP348PXr0AKBp06asW7eO06dPu1W9aRGNRkOTJk1s2hsonIPcndqb8ibtuGuTdtz1VZZ23NltuCT1ZRQUFESnTp3Yvn275diBAwfw8PCgc+fOKkbmWKNHj2bAgAGEh4dbjl37l9IVzZs3jz179li+1q9fbzn+5Zdfqhxd2UVERNC0aVP++OMPm+OXL1+mbdu2KkXlWGlpaTYD4+655x6aN2+O2WxWMSrn6dmzp017YzQaOXLkCM8++6yKUbk2acddm7Tjrq8ytePObMMlqXeAt99+m19++YXs7Gyg8GOkwYMHW367dnVvvfUWZrOZhIQENmzYwA8//EBsbCw7d+5UO7Qyq1+/Ps2bN7d8FdWY1q9f320G6UyePJnly5dbBuHs3LkTb29vXnjhBZUjc4wXXniBtWvXWvYzMzPRarU8+OCD6gXlIAUFBcVWNe3Xrx+KorB7924AVq9eTXR0tM2UheLWSTvuuqQdd33u2o6XdxuuURRFKfNdBGvXrmXFihWEhIQQEBDAhAkT0Gpd/3emKVOmMHLkyGLHq1atSkJCgtsNIjt9+jR169Zly5YtbvGxbZFvvvmGFStW0Lx5c86ePcu4cePcJlnJzc1l+PDhFBQUEBUVRWJiIn369KFBgwZqh1Ym3377LePHj+fw4cNMnTqVF154gdDQUACOHDnC2LFjiYyMJDk5mY8//tjl53OuCKQddw/Sjrsed2zH1WjDJakXQgghhBDCxbl+F4QQQgghhBCVnCT1QgghhBBCuDhJ6oUQQgghhHBxktQLIYQQQgjh4iSpF0IIIYQQwsVJUi+EEEIIIYSLk6ReCCGEEEIIFydJvRBCCCGEEC5OknohhBBCCCFcnCT1otJZtGgRnp6etGnThg4dOhAeHo6XlxcdOnSgffv2VKtWzbK0+JAhQ3jqqadUjdce3377LeHh4eTm5qodihBCOJy040IUp1c7ACHU8P333xMTEwNA7969+fnnn9mwYQMAaWlpDB06FIA777yTiIgI1eK0V7169ejQoQOenp5qhyKEEE4h7bgQtjSKoihqByFEefrtt9948MEHLftFPwzOnTtnObZ161YeeughNcITQghxE9KOC1GclN+ISsf6B8H1yA8CIYSouKQdF6I4SeqFuI69e/fSt29fOnbsCMC5c+d46623qF69OikpKbz44ov4+/vTqVMncnJymD9/PuHh4dSoUYOffvrJ5l6ff/45w4YN48EHH6Rt27YcPXq0VDFs2bKFrl270r9/f7Zt20bz5s0JDAxk9uzZZGRk0KtXL3x9fXn44YdJS0sD4MKFC7zzzjtUr14dgKysLGbPnk2jRo34+eefGTVqFP7+/tx///2kpqY67g9MCCEqGGnHRWUiSb0Q11GlShUOHTpETk6O5VhqaiqJiYksW7aMDz74gOXLl/Pjjz/Sr18/goOD2bdvHy1btmTIkCGW1yxevJiwsDCmTZvG1q1b0ev1PPnkk5Sm8q1atWps376dQ4cOcfHiRX7++WeefPJJhg8fzieffMLo0aPZvn07O3fu5IsvvgBAURRLnAD5+fmEh4dz+PBhFi9ezLPPPsu2bdvYtWsX8+bNc+wfmhBCVCDSjovKRAbKCnEd9evXp0GDBsTFxQFQq1YtWrRoAcDAgQMBqFOnDqGhoTRo0MAyu8KTTz7JoEGDLPeZMGECffr04ciRIwBERERgMpm4dOkSoaGhN4yhcePG1K1bl/r169O9e3cAnn/+eZYsWUKvXr2IjIwEoEmTJhw/fhyA8PBwmjdvbrlH1apVadKkCQB9+vThrrvusrzmxIkT9v7xCCFEhSftuKhMJKkX4gZ0Op3Nvl5f/J+Mt7e3zb6npydGoxGA7Oxs/vnnH/r3709YWJhdMVz7zGufV/TMgoKC68at1WptvgP4+vqSn59vV0xCCOEqpB0XlYWU3wjhRHl5eQDs2rXL5nhWVpbNx8FCCCEqJmnHhauQpF4IJ6patSo1atTgvffes+mB+fLLL9FoNCpGJoQQojSkHReuQpJ6Uenl5ORct7fFZDJhMpls9q2/A5jNZsxms2W/aOBU0TVvvvkmf/75J23atGH27NkMHTqU1NRUvLy82Lx5M5GRkSxbtuy68V0bQ9Gzrn3mjeIs+kFk/Zpr34cQQrgqaceFABQhKqnU1FRl/vz5SlBQkAIoEyZMUE6cOGE5v3nzZiU8PFzx8/NTvv32W+XQoUPKI488ogDK+++/r1y6dEmZOXOmotVqlRYtWijbtm1Tdu3apTz88MMKoLz77rtKVlaWYjablQkTJiihoaFKSEiIMnz4cKWgoEBRFEVZs2aNUq1aNeWee+4pMcaVK1cqVapUUWrXrq38+OOPyokTJ5Ru3bopgPLGG28o586dUxYtWqT4+fkptWrVUn766SflyJEjNnHGxcUpAwcOVADl+eefV06cOKGsXLlSCQgIUCIiIpSffvqpXP68hRDC0aQdl3ZcXCUrygpRAbz++uvMnDlT7TCEEELYSdpxoTZJ6oVQ2cqVKwkLCyvVColCCCEqHmnHRUUgSb0QKtq7dy8eHh5ER0erHYoQQgg7SDsuKgpJ6oUQQgghhHBxMvuNEEIIIYQQLk6SeiGEEEIIIVycJPVCCCGEEEK4OEnqhRBCCCGEcHGS1AshhBBCCOHiJKkXQgghhBDCxUlSL4QQQgghhIuTpF4IIYQQQggXJ0m9EEIIIYQQLu7/AULht0A4vPxpAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot overshoot and undershoot trajectories\n", "fig = plt.figure()\n", "fig = plt.figure()\n", "fig.set_size_inches([8.75,5.75])\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "\n", "plt.subplot(2, 2, 1)\n", "plt.plot(vehicle1.t_minc , vehicle1.h_kmc, linestyle='solid' , color='xkcd:black',linewidth=2.0)\n", "plt.xlabel('Time, min',fontsize=12)\n", "plt.ylabel(\"Altitude, km\",fontsize=12)\n", "ax = plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "plt.tick_params(direction='in')\n", "plt.tick_params(axis='x',labelsize=12)\n", "plt.tick_params(axis='y',labelsize=12)\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.plot(vehicle1.t_minc , vehicle1.v_kmsc , linestyle='solid' , color='xkcd:blue',linewidth=2.0)\n", "\n", "plt.xlabel('Time, min',fontsize=12)\n", "plt.ylabel(\"Speed, km/s\",fontsize=12)\n", "ax = plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "plt.tick_params(direction='in')\n", "plt.tick_params(axis='x',labelsize=10)\n", "plt.tick_params(axis='y',labelsize=12)\n", "\n", "plt.subplot(2, 2, 3)\n", "plt.plot(vehicle1.t_minc , vehicle1.q_stag_total, linestyle='solid' , color='xkcd:red',linewidth=2.0)\n", "plt.xlabel('Time, min',fontsize=12)\n", "plt.ylabel(\"Peak heat rate, W/cm2\",fontsize=12)\n", "ax = plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "plt.tick_params(direction='in')\n", "plt.tick_params(axis='x',labelsize=12)\n", "plt.tick_params(axis='y',labelsize=12)\n", "\n", "plt.subplot(2, 2, 4)\n", "plt.plot(vehicle1.t_minc , vehicle1.acc_net_g , linestyle='solid' , color='xkcd:green',linewidth=2.0)\n", "\n", "plt.xlabel('Time, min',fontsize=12)\n", "plt.ylabel(\"Deceleration, g\",fontsize=12)\n", "ax = plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "plt.tick_params(direction='in')\n", "plt.tick_params(axis='x',labelsize=12)\n", "plt.tick_params(axis='y',labelsize=12)\n", "\n", "\n", "\n", "\n", "\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/probe-entry-trajectory.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/probe-entry-trajectory.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/probe-entry-trajectory.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4eece774", "metadata": {}, "source": [ "Run the file ```example-09-probe-orbiter-trajectory.py``` for a visualization of the hyperbolic approach, coast phase and the final orbit trajectory." ] }, { "cell_type": "code", "execution_count": 106, "id": "575c0ded", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 106, "metadata": { "image/png": { "width": 1200 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"../../../data/acta-astronautica/uranus-orbiter-probe/probe-orbiter-trajectory.png\", width=1200)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }