{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05a0b4f5",
   "metadata": {},
   "source": [
    "# Section 08 - Performance Analysis - C - 5X Higher atm uncertainty"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "2fd5ec76",
   "metadata": {},
   "outputs": [],
   "source": [
    "from AMAT.planet import Planet\n",
    "from AMAT.vehicle import Vehicle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "e12da72e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "a7899da6",
   "metadata": {},
   "outputs": [],
   "source": [
    "planet = Planet('URANUS')\n",
    "planet.loadAtmosphereModel('../../../atmdata/Uranus/uranus-gram-avg.dat', 0 , 1 ,2, 3, heightInKmFlag=True)\n",
    "planet.h_skip = 1000.0E3\n",
    "planet.h_low  = 120e3\n",
    "planet.h_trap = 100e3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6aabba09",
   "metadata": {},
   "outputs": [],
   "source": [
    "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,-11.7 ,0.0,0.0)\n",
    "vehicle.setSolverParams(1E-6)\n",
    "# Set the guidance parameters described in the paper.\n",
    "# See the function description for parameter details.\n",
    "\n",
    "# Set max roll rate constraint to 30 deg/s\n",
    "vehicle.setMaxRollRate(30.0)\n",
    "\n",
    "# Set Ghdot = 83\n",
    "# Set Gq = 9.0\n",
    "# Set v_switch_kms = 16.0 :: this parameter is not really used, and should just be set to low value\n",
    "# Set low_Alt_km = 120\n",
    "# Set numPoints_lowAlt = 101\n",
    "# Set hdot_threshold = -500 m/s\n",
    "vehicle.setEquilibriumGlideParams(83.0, 9.0, 16.0, 120.0, 101, -500.0)\n",
    "\n",
    "# Set target orbit parameters\n",
    "# periapsis = 4000.0 km\n",
    "# apoapsis = 550,000 km :: set slightly above target (500e3) to account for bias in targeting algorithm\n",
    "# apoapsis tolerance = 10 km\n",
    "vehicle.setTargetOrbitParams(4000.0, 550.0E3, 10.0E3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "016c64d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set path to atmfiles with randomly perturbed atmosphere files.\n",
    "atmfiles = ['../../../atmdata/Uranus/perturbed/G-01.txt',\n",
    "            '../../../atmdata/Uranus/perturbed/G-02.txt',\n",
    "            '../../../atmdata/Uranus/perturbed/G-03.txt',\n",
    "            '../../../atmdata/Uranus/perturbed/G-04.txt',\n",
    "            '../../../atmdata/Uranus/perturbed/G-05.txt']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "bb531abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n",
    "                                 -11.70, 0.10, 0.24, 0.013, 0.5, 0.1, 2400.0, atmSigmaFactor=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75cd9087",
   "metadata": {},
   "source": [
    "## Small run N = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "dc11080e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 1, SAMPLE #: 118, EFPA: -11.80, SIGMA: -5.87, LD: 0.24, APO : 512669.26\n",
      "RUN #: 2, SAMPLE #: 111, EFPA: -11.73, SIGMA: -1.98, LD: 0.25, APO : 588945.01\n",
      "RUN #: 3, SAMPLE #: 183, EFPA: -11.73, SIGMA: -1.26, LD: 0.23, APO : 501440.30\n",
      "RUN #: 4, SAMPLE #: 76, EFPA: -11.78, SIGMA: 3.25, LD: 0.24, APO : 521530.74\n",
      "RUN #: 5, SAMPLE #: 138, EFPA: -11.70, SIGMA: 3.18, LD: 0.23, APO : 520211.82\n",
      "RUN #: 6, SAMPLE #: 87, EFPA: -11.56, SIGMA: -9.16, LD: 0.26, APO : -88785.58\n",
      "RUN #: 7, SAMPLE #: 39, EFPA: -11.85, SIGMA: 1.41, LD: 0.24, APO : 552827.67\n",
      "RUN #: 8, SAMPLE #: 137, EFPA: -11.66, SIGMA: -2.42, LD: 0.24, APO : 481494.13\n",
      "RUN #: 9, SAMPLE #: 81, EFPA: -11.63, SIGMA: -6.71, LD: 0.24, APO : 819201.54\n",
      "RUN #: 10, SAMPLE #: 15, EFPA: -11.70, SIGMA: 7.16, LD: 0.25, APO : 508270.80\n",
      "RUN #: 11, SAMPLE #: 38, EFPA: -11.60, SIGMA: 4.72, LD: 0.22, APO : 541784.75\n",
      "RUN #: 12, SAMPLE #: 135, EFPA: -11.84, SIGMA: -0.97, LD: 0.26, APO : 503673.95\n",
      "RUN #: 13, SAMPLE #: 58, EFPA: -11.97, SIGMA: -2.16, LD: 0.23, APO : 538584.87\n",
      "RUN #: 14, SAMPLE #: 198, EFPA: -11.59, SIGMA: -4.50, LD: 0.24, APO : 502995.31\n",
      "RUN #: 15, SAMPLE #: 170, EFPA: -11.56, SIGMA: -0.49, LD: 0.26, APO : 525879.03\n",
      "RUN #: 16, SAMPLE #: 145, EFPA: -11.61, SIGMA: -1.84, LD: 0.24, APO : 569428.77\n",
      "RUN #: 17, SAMPLE #: 104, EFPA: -11.68, SIGMA: 8.01, LD: 0.22, APO : 533518.43\n",
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      "RUN #: 23, SAMPLE #: 5, EFPA: -11.71, SIGMA: -0.44, LD: 0.24, APO : 538418.94\n",
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      "RUN #: 26, SAMPLE #: 192, EFPA: -11.79, SIGMA: 4.68, LD: 0.22, APO : 581122.88\n",
      "RUN #: 27, SAMPLE #: 44, EFPA: -11.67, SIGMA: -8.26, LD: 0.27, APO : 247195.52\n",
      "RUN #: 28, SAMPLE #: 186, EFPA: -11.73, SIGMA: 7.45, LD: 0.25, APO : 576462.22\n",
      "RUN #: 29, SAMPLE #: 50, EFPA: -11.59, SIGMA: 3.61, LD: 0.23, APO : 510537.02\n",
      "RUN #: 30, SAMPLE #: 157, EFPA: -11.72, SIGMA: -3.09, LD: 0.23, APO : 564498.48\n",
      "RUN #: 31, SAMPLE #: 92, EFPA: -11.62, SIGMA: -2.85, LD: 0.24, APO : 518155.67\n",
      "RUN #: 32, SAMPLE #: 117, EFPA: -11.71, SIGMA: 3.01, LD: 0.22, APO : 521038.35\n",
      "RUN #: 33, SAMPLE #: 130, EFPA: -11.65, SIGMA: 2.92, LD: 0.22, APO : 538548.65\n",
      "RUN #: 34, SAMPLE #: 82, EFPA: -11.81, SIGMA: -0.72, LD: 0.23, APO : 506423.94\n",
      "RUN #: 35, SAMPLE #: 143, EFPA: -11.83, SIGMA: 1.40, LD: 0.23, APO : 574022.84\n",
      "RUN #: 36, SAMPLE #: 164, EFPA: -11.53, SIGMA: -0.32, LD: 0.25, APO : 549660.13\n",
      "RUN #: 37, SAMPLE #: 30, EFPA: -11.72, SIGMA: 3.47, LD: 0.23, APO : 505493.50\n",
      "RUN #: 38, SAMPLE #: 89, EFPA: -11.67, SIGMA: 2.86, LD: 0.27, APO : 572153.08\n",
      "RUN #: 39, SAMPLE #: 92, EFPA: -11.77, SIGMA: 4.22, LD: 0.24, APO : 539473.15\n",
      "RUN #: 40, SAMPLE #: 11, EFPA: -11.69, SIGMA: -1.19, LD: 0.25, APO : 535667.15\n",
      "RUN #: 41, SAMPLE #: 68, EFPA: -11.75, SIGMA: 1.63, LD: 0.23, APO : 539365.58\n",
      "RUN #: 42, SAMPLE #: 150, EFPA: -11.68, SIGMA: 4.38, LD: 0.24, APO : 537301.58\n",
      "RUN #: 43, SAMPLE #: 78, EFPA: -11.77, SIGMA: 1.56, LD: 0.24, APO : 530071.11\n",
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      "RUN #: 45, SAMPLE #: 32, EFPA: -11.87, SIGMA: 6.14, LD: 0.24, APO : 265011.19\n",
      "RUN #: 46, SAMPLE #: 131, EFPA: -11.76, SIGMA: 1.94, LD: 0.24, APO : 521913.58\n",
      "RUN #: 47, SAMPLE #: 58, EFPA: -11.91, SIGMA: 0.55, LD: 0.24, APO : 511759.65\n",
      "RUN #: 48, SAMPLE #: 26, EFPA: -11.66, SIGMA: 5.72, LD: 0.25, APO : 480749.35\n",
      "RUN #: 49, SAMPLE #: 68, EFPA: -11.52, SIGMA: 8.08, LD: 0.25, APO : 549440.47\n",
      "RUN #: 50, SAMPLE #: 56, EFPA: -11.65, SIGMA: 1.48, LD: 0.24, APO : 529851.12\n",
      "RUN #: 51, SAMPLE #: 190, EFPA: -11.73, SIGMA: 2.19, LD: 0.24, APO : 547968.27\n",
      "RUN #: 52, SAMPLE #: 111, EFPA: -11.74, SIGMA: 1.88, LD: 0.24, APO : 542023.62\n",
      "RUN #: 53, SAMPLE #: 57, EFPA: -11.67, SIGMA: 8.13, LD: 0.25, APO : 521635.99\n",
      "RUN #: 54, SAMPLE #: 77, EFPA: -11.70, SIGMA: -5.91, LD: 0.21, APO : 240967.54\n",
      "RUN #: 55, SAMPLE #: 152, EFPA: -11.65, SIGMA: -6.36, LD: 0.24, APO : 651309.63\n",
      "RUN #: 56, SAMPLE #: 140, EFPA: -11.79, SIGMA: 0.35, LD: 0.26, APO : 566617.27\n",
      "RUN #: 57, SAMPLE #: 94, EFPA: -11.69, SIGMA: 3.59, LD: 0.25, APO : 568802.27\n",
      "RUN #: 58, SAMPLE #: 188, EFPA: -11.61, SIGMA: -1.92, LD: 0.24, APO : 516124.95\n",
      "RUN #: 59, SAMPLE #: 180, EFPA: -11.83, SIGMA: -3.48, LD: 0.24, APO : 507783.57\n",
      "RUN #: 60, SAMPLE #: 190, EFPA: -11.64, SIGMA: 5.03, LD: 0.22, APO : 541067.46\n",
      "RUN #: 61, SAMPLE #: 12, EFPA: -11.69, SIGMA: -0.34, LD: 0.25, APO : 573511.28\n",
      "RUN #: 62, SAMPLE #: 47, EFPA: -11.78, SIGMA: 6.80, LD: 0.25, APO : 539143.84\n",
      "RUN #: 63, SAMPLE #: 111, EFPA: -11.80, SIGMA: 5.59, LD: 0.25, APO : 555663.60\n",
      "RUN #: 64, SAMPLE #: 41, EFPA: -11.62, SIGMA: -0.20, LD: 0.24, APO : 615552.46\n",
      "RUN #: 65, SAMPLE #: 111, EFPA: -11.73, SIGMA: -4.39, LD: 0.25, APO : 498656.55\n",
      "RUN #: 66, SAMPLE #: 169, EFPA: -11.53, SIGMA: 2.28, LD: 0.26, APO : 487468.15\n",
      "RUN #: 67, SAMPLE #: 66, EFPA: -11.77, SIGMA: -4.40, LD: 0.25, APO : 631509.69\n",
      "RUN #: 68, SAMPLE #: 143, EFPA: -11.70, SIGMA: -1.05, LD: 0.22, APO : 528791.99\n",
      "RUN #: 69, SAMPLE #: 187, EFPA: -11.67, SIGMA: -4.15, LD: 0.25, APO : 538824.31\n",
      "RUN #: 70, SAMPLE #: 198, EFPA: -11.82, SIGMA: 3.11, LD: 0.24, APO : 520611.27\n",
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      "RUN #: 75, SAMPLE #: 133, EFPA: -11.62, SIGMA: -6.60, LD: 0.26, APO : 505336.02\n",
      "RUN #: 76, SAMPLE #: 76, EFPA: -11.62, SIGMA: -5.33, LD: 0.25, APO : 649977.02\n",
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      "RUN #: 79, SAMPLE #: 171, EFPA: -11.75, SIGMA: -8.90, LD: 0.24, APO : -88885.55\n",
      "RUN #: 80, SAMPLE #: 114, EFPA: -11.75, SIGMA: -4.63, LD: 0.25, APO : 555582.99\n",
      "RUN #: 81, SAMPLE #: 6, EFPA: -11.86, SIGMA: 1.47, LD: 0.24, APO : 488312.76\n",
      "RUN #: 82, SAMPLE #: 143, EFPA: -11.69, SIGMA: 6.90, LD: 0.25, APO : 519572.19\n",
      "RUN #: 83, SAMPLE #: 103, EFPA: -11.70, SIGMA: -7.79, LD: 0.24, APO : -86596.33\n",
      "RUN #: 84, SAMPLE #: 125, EFPA: -11.70, SIGMA: 5.23, LD: 0.23, APO : 481371.23\n",
      "RUN #: 85, SAMPLE #: 168, EFPA: -11.63, SIGMA: -5.19, LD: 0.24, APO : 591282.88\n",
      "RUN #: 86, SAMPLE #: 176, EFPA: -11.80, SIGMA: -3.29, LD: 0.24, APO : 537423.02\n",
      "RUN #: 87, SAMPLE #: 128, EFPA: -11.65, SIGMA: 1.57, LD: 0.24, APO : 559307.88\n",
      "RUN #: 88, SAMPLE #: 60, EFPA: -11.76, SIGMA: 1.72, LD: 0.24, APO : 565865.26\n",
      "RUN #: 89, SAMPLE #: 111, EFPA: -11.57, SIGMA: 1.49, LD: 0.23, APO : 547601.81\n",
      "RUN #: 90, SAMPLE #: 157, EFPA: -11.79, SIGMA: -1.06, LD: 0.24, APO : 556475.82\n",
      "RUN #: 91, SAMPLE #: 84, EFPA: -11.55, SIGMA: -0.35, LD: 0.25, APO : 554223.60\n",
      "RUN #: 92, SAMPLE #: 133, EFPA: -11.70, SIGMA: 9.22, LD: 0.22, APO : 531944.66\n",
      "RUN #: 93, SAMPLE #: 7, EFPA: -11.87, SIGMA: 3.92, LD: 0.21, APO : 556516.64\n",
      "RUN #: 94, SAMPLE #: 146, EFPA: -11.65, SIGMA: -5.16, LD: 0.25, APO : 430710.05\n",
      "RUN #: 95, SAMPLE #: 64, EFPA: -11.77, SIGMA: -1.68, LD: 0.25, APO : 501587.70\n",
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      "RUN #: 97, SAMPLE #: 131, EFPA: -11.59, SIGMA: -4.10, LD: 0.25, APO : 517152.82\n",
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      "RUN #: 104, SAMPLE #: 92, EFPA: -11.68, SIGMA: -1.38, LD: 0.25, APO : 547214.22\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 105, SAMPLE #: 138, EFPA: -11.87, SIGMA: -0.30, LD: 0.24, APO : 543617.41\n",
      "RUN #: 106, SAMPLE #: 87, EFPA: -11.69, SIGMA: 6.55, LD: 0.24, APO : 485258.99\n",
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      "RUN #: 116, SAMPLE #: 169, EFPA: -11.67, SIGMA: -7.78, LD: 0.23, APO : -141833.99\n",
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      "RUN #: 118, SAMPLE #: 8, EFPA: -11.61, SIGMA: -9.88, LD: 0.25, APO : -82324.47\n",
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      "RUN #: 121, SAMPLE #: 75, EFPA: -11.94, SIGMA: -4.71, LD: 0.24, APO : 516113.25\n",
      "RUN #: 122, SAMPLE #: 76, EFPA: -11.60, SIGMA: 7.32, LD: 0.25, APO : 535045.25\n",
      "RUN #: 123, SAMPLE #: 107, EFPA: -11.66, SIGMA: 3.54, LD: 0.22, APO : 538495.12\n",
      "RUN #: 124, SAMPLE #: 35, EFPA: -11.54, SIGMA: 5.43, LD: 0.23, APO : 549291.96\n",
      "RUN #: 125, SAMPLE #: 149, EFPA: -11.71, SIGMA: -0.56, LD: 0.24, APO : 557833.70\n",
      "RUN #: 126, SAMPLE #: 185, EFPA: -11.47, SIGMA: 0.82, LD: 0.23, APO : 507147.26\n",
      "RUN #: 127, SAMPLE #: 117, EFPA: -11.59, SIGMA: 1.53, LD: 0.23, APO : 513997.76\n",
      "RUN #: 128, SAMPLE #: 146, EFPA: -11.63, SIGMA: -5.98, LD: 0.24, APO : 561311.72\n",
      "RUN #: 129, SAMPLE #: 112, EFPA: -11.75, SIGMA: -1.43, LD: 0.24, APO : 526711.47\n",
      "RUN #: 130, SAMPLE #: 2, EFPA: -11.39, SIGMA: -9.71, LD: 0.23, APO : -89402.64\n",
      "RUN #: 131, SAMPLE #: 196, EFPA: -11.64, SIGMA: -5.03, LD: 0.25, APO : 535531.32\n",
      "RUN #: 132, SAMPLE #: 155, EFPA: -11.68, SIGMA: 1.12, LD: 0.24, APO : 492986.08\n",
      "RUN #: 133, SAMPLE #: 89, EFPA: -11.87, SIGMA: 0.98, LD: 0.24, APO : 542124.16\n",
      "RUN #: 134, SAMPLE #: 144, EFPA: -11.74, SIGMA: -5.36, LD: 0.25, APO : 533255.25\n",
      "RUN #: 135, SAMPLE #: 126, EFPA: -11.68, SIGMA: 7.16, LD: 0.24, APO : 511966.02\n",
      "RUN #: 136, SAMPLE #: 39, EFPA: -11.66, SIGMA: -4.76, LD: 0.23, APO : 511911.15\n",
      "RUN #: 137, SAMPLE #: 120, EFPA: -11.73, SIGMA: 5.05, LD: 0.24, APO : 499952.59\n",
      "RUN #: 138, SAMPLE #: 21, EFPA: -11.73, SIGMA: -2.34, LD: 0.24, APO : 558382.27\n",
      "RUN #: 139, SAMPLE #: 188, EFPA: -11.66, SIGMA: 1.25, LD: 0.25, APO : 574366.98\n",
      "RUN #: 140, SAMPLE #: 72, EFPA: -11.79, SIGMA: 0.11, LD: 0.23, APO : 511715.34\n",
      "RUN #: 141, SAMPLE #: 118, EFPA: -11.55, SIGMA: -10.06, LD: 0.24, APO : -92704.24\n",
      "RUN #: 142, SAMPLE #: 136, EFPA: -11.69, SIGMA: 2.78, LD: 0.24, APO : 476140.14\n",
      "RUN #: 143, SAMPLE #: 118, EFPA: -11.71, SIGMA: -3.30, LD: 0.24, APO : 539886.06\n",
      "RUN #: 144, SAMPLE #: 145, EFPA: -11.66, SIGMA: 5.50, LD: 0.25, APO : 553005.24\n",
      "RUN #: 145, SAMPLE #: 42, EFPA: -11.58, SIGMA: 1.69, LD: 0.24, APO : 521059.77\n",
      "RUN #: 146, SAMPLE #: 15, EFPA: -11.74, SIGMA: 0.70, LD: 0.25, APO : 561614.03\n",
      "RUN #: 147, SAMPLE #: 72, EFPA: -11.85, SIGMA: 6.00, LD: 0.25, APO : 414355.22\n",
      "RUN #: 148, SAMPLE #: 59, EFPA: -11.64, SIGMA: 4.79, LD: 0.23, APO : 485745.23\n",
      "RUN #: 149, SAMPLE #: 156, EFPA: -11.56, SIGMA: 2.82, LD: 0.26, APO : 501316.40\n",
      "RUN #: 150, SAMPLE #: 101, EFPA: -11.90, SIGMA: 7.82, LD: 0.24, APO : 176814.44\n",
      "RUN #: 151, SAMPLE #: 36, EFPA: -11.60, SIGMA: -5.46, LD: 0.23, APO : 605366.84\n",
      "RUN #: 152, SAMPLE #: 54, EFPA: -11.66, SIGMA: -7.90, LD: 0.21, APO : -138610.64\n",
      "RUN #: 153, SAMPLE #: 101, EFPA: -11.59, SIGMA: 1.90, LD: 0.23, APO : 522657.83\n",
      "RUN #: 154, SAMPLE #: 157, EFPA: -11.76, SIGMA: -4.54, LD: 0.26, APO : 588411.22\n",
      "RUN #: 155, SAMPLE #: 18, EFPA: -11.68, SIGMA: 4.29, LD: 0.23, APO : 553282.23\n",
      "RUN #: 156, SAMPLE #: 121, EFPA: -11.68, SIGMA: -9.33, LD: 0.25, APO : -97687.91\n",
      "RUN #: 157, SAMPLE #: 160, EFPA: -11.70, SIGMA: -6.52, LD: 0.24, APO : 297095.20\n",
      "RUN #: 158, SAMPLE #: 187, EFPA: -11.68, SIGMA: 4.98, LD: 0.25, APO : 562940.94\n",
      "RUN #: 159, SAMPLE #: 109, EFPA: -11.75, SIGMA: -1.23, LD: 0.24, APO : 524010.92\n",
      "RUN #: 160, SAMPLE #: 17, EFPA: -11.52, SIGMA: -3.15, LD: 0.22, APO : 485405.89\n",
      "RUN #: 161, SAMPLE #: 112, EFPA: -11.73, SIGMA: -2.19, LD: 0.24, APO : 506507.78\n",
      "RUN #: 162, SAMPLE #: 183, EFPA: -11.67, SIGMA: 1.17, LD: 0.26, APO : 548623.40\n",
      "RUN #: 163, SAMPLE #: 185, EFPA: -11.75, SIGMA: 0.99, LD: 0.25, APO : 541320.13\n",
      "RUN #: 164, SAMPLE #: 22, EFPA: -11.48, SIGMA: -6.66, LD: 0.23, APO : 428643.64\n",
      "RUN #: 165, SAMPLE #: 58, EFPA: -11.67, SIGMA: 0.61, LD: 0.22, APO : 561632.48\n",
      "RUN #: 166, SAMPLE #: 1, EFPA: -12.03, SIGMA: 0.12, LD: 0.22, APO : 575161.56\n",
      "RUN #: 167, SAMPLE #: 99, EFPA: -11.66, SIGMA: 0.88, LD: 0.26, APO : 498177.73\n",
      "RUN #: 168, SAMPLE #: 157, EFPA: -11.73, SIGMA: -4.81, LD: 0.25, APO : 498054.87\n",
      "RUN #: 169, SAMPLE #: 21, EFPA: -11.81, SIGMA: -5.88, LD: 0.25, APO : 234963.01\n",
      "RUN #: 170, SAMPLE #: 19, EFPA: -11.69, SIGMA: -4.30, LD: 0.25, APO : 545206.91\n",
      "RUN #: 171, SAMPLE #: 198, EFPA: -11.80, SIGMA: -2.69, LD: 0.22, APO : 491285.55\n",
      "RUN #: 172, SAMPLE #: 102, EFPA: -11.51, SIGMA: 4.07, LD: 0.24, APO : 498367.70\n",
      "RUN #: 173, SAMPLE #: 33, EFPA: -11.71, SIGMA: -1.67, LD: 0.23, APO : 526110.73\n",
      "RUN #: 174, SAMPLE #: 77, EFPA: -11.70, SIGMA: 1.72, LD: 0.23, APO : 554495.48\n",
      "RUN #: 175, SAMPLE #: 78, EFPA: -11.73, SIGMA: -6.84, LD: 0.24, APO : 197753.88\n",
      "RUN #: 176, SAMPLE #: 69, EFPA: -11.73, SIGMA: -1.11, LD: 0.23, APO : 550598.48\n",
      "RUN #: 177, SAMPLE #: 103, EFPA: -11.79, SIGMA: 11.26, LD: 0.22, APO : 299345.54\n",
      "RUN #: 178, SAMPLE #: 167, EFPA: -11.64, SIGMA: 0.18, LD: 0.24, APO : 577487.63\n",
      "RUN #: 179, SAMPLE #: 35, EFPA: -11.76, SIGMA: -4.63, LD: 0.23, APO : 601392.00\n",
      "RUN #: 180, SAMPLE #: 112, EFPA: -11.85, SIGMA: 2.98, LD: 0.23, APO : 597931.97\n",
      "RUN #: 181, SAMPLE #: 200, EFPA: -11.76, SIGMA: -1.15, LD: 0.23, APO : 499936.26\n",
      "RUN #: 182, SAMPLE #: 124, EFPA: -11.68, SIGMA: 3.22, LD: 0.22, APO : 542362.49\n",
      "RUN #: 183, SAMPLE #: 193, EFPA: -11.69, SIGMA: 0.49, LD: 0.26, APO : 490835.90\n",
      "RUN #: 184, SAMPLE #: 101, EFPA: -11.80, SIGMA: 6.59, LD: 0.22, APO : 589205.98\n",
      "RUN #: 185, SAMPLE #: 76, EFPA: -11.63, SIGMA: 0.54, LD: 0.24, APO : 576696.01\n",
      "RUN #: 186, SAMPLE #: 66, EFPA: -11.65, SIGMA: -5.23, LD: 0.22, APO : 214938.10\n",
      "RUN #: 187, SAMPLE #: 167, EFPA: -11.82, SIGMA: 2.20, LD: 0.25, APO : 511797.55\n",
      "RUN #: 188, SAMPLE #: 23, EFPA: -11.66, SIGMA: 2.46, LD: 0.25, APO : 524782.74\n",
      "RUN #: 189, SAMPLE #: 75, EFPA: -11.87, SIGMA: -1.95, LD: 0.23, APO : 607640.97\n",
      "RUN #: 190, SAMPLE #: 128, EFPA: -11.67, SIGMA: -4.92, LD: 0.25, APO : 527933.25\n",
      "RUN #: 191, SAMPLE #: 32, EFPA: -11.72, SIGMA: -0.70, LD: 0.24, APO : 542490.54\n",
      "RUN #: 192, SAMPLE #: 109, EFPA: -11.75, SIGMA: 0.55, LD: 0.25, APO : 479762.11\n",
      "RUN #: 193, SAMPLE #: 104, EFPA: -11.68, SIGMA: -0.52, LD: 0.23, APO : 507765.14\n",
      "RUN #: 194, SAMPLE #: 42, EFPA: -11.85, SIGMA: -5.57, LD: 0.26, APO : 133058.94\n",
      "RUN #: 195, SAMPLE #: 195, EFPA: -11.84, SIGMA: 5.80, LD: 0.23, APO : 369398.45\n",
      "RUN #: 196, SAMPLE #: 119, EFPA: -11.78, SIGMA: -0.06, LD: 0.22, APO : 522657.84\n",
      "RUN #: 197, SAMPLE #: 178, EFPA: -11.77, SIGMA: 2.40, LD: 0.22, APO : 569783.23\n",
      "RUN #: 198, SAMPLE #: 186, EFPA: -11.61, SIGMA: -1.55, LD: 0.25, APO : 531578.77\n",
      "RUN #: 199, SAMPLE #: 68, EFPA: -11.69, SIGMA: -0.68, LD: 0.25, APO : 558122.47\n",
      "RUN #: 200, SAMPLE #: 181, EFPA: -11.56, SIGMA: 5.49, LD: 0.24, APO : 507811.76\n"
     ]
    }
   ],
   "source": [
    "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "2c286098",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "cf4145f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x325 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n",
    "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=12)\n",
    "\n",
    "axes[0].tick_params(direction='in')\n",
    "axes[0].yaxis.set_ticks_position('both')\n",
    "axes[0].xaxis.set_ticks_position('both')\n",
    "axes[0].tick_params(axis='x',labelsize=12)\n",
    "axes[0].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "\n",
    "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n",
    "\n",
    "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n",
    "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "\n",
    "\n",
    "axes[1].tick_params(direction='in')\n",
    "axes[1].yaxis.set_ticks_position('both')\n",
    "axes[1].xaxis.set_ticks_position('both')\n",
    "axes[1].tick_params(axis='x',labelsize=12)\n",
    "axes[1].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.xaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.yaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.xaxis.set_tick_params(width=1, length=8)\n",
    "    ax.yaxis.set_tick_params(width=1, length=8)\n",
    "    ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "    ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "\n",
    "    for axis in ['top', 'bottom', 'left', 'right']:\n",
    "        ax.spines[axis].set_linewidth(2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3582b7d5",
   "metadata": {},
   "source": [
    "## Remove cases which did not capture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "3546740c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  5,  21,  78,  82, 115, 117, 129, 140, 151, 155]),)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "del_index1 = np.where(x1 < 0)\n",
    "del_index1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0dd7381",
   "metadata": {},
   "source": [
    "These ten cases failed to capture. Delete them from the results for plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "622c0a64",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1 = np.delete(p1, del_index1 )\n",
    "x1 = np.delete(x1, del_index1 )\n",
    "y1 = np.delete(y1, del_index1 )\n",
    "z1 = np.delete(z1, del_index1 )\n",
    "h1 = np.delete(h1, del_index1 )\n",
    "u1 = np.delete(u1, del_index1 )\n",
    "v1 = np.delete(v1, del_index1 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "5f3437e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KUFxcrLJtxowZ4DhOuTL6+PHj6Ny5M8aPHw+ADU3PmzdP2TUhJycH586dwy+//KJf47Vg9+7dYpsgKUgPAdJCgLQgNIH8RTNIL80gvRiSmfN47NgxnDx5EomJidiyZQsmTZoEGxsbWFpa4vz581i1ahXs7OyQlpaGM2fOwNRUiHudnZ2xePFiLFy4EBkZGdi9e7fkh6wBKAufEwzSQ4C0ECAtCE0gf9EM0kszSC+GZILH8ePHK7OJpenUqROOHDlS4WfNzc3h5uZWXaZVG3fv3kXnzp3FNkMykB4CpIUAaUFoAvmLZpBemkF6MSQ1bG1sSH1Opr4hPQRICwHSgtAE8hfNIL00g/RiUPAoIo0aNRLbBElBegiQFgKkBaEJ5C+aQXppBunFoOBRRP755x+xTZAUpIcAaSFAWhCaQP6iGaSXZpBeDAoeRWTkyJFimyApSA8B0kKAtCA0gfxFM0gvzSC9GBQ8ioiHh4fYJkgK0kOAtBAgLQhNIH/RDNJLM0gvhqR6W+sDQ+3XSugGQ+ltTegWuu81hzQjCOND3fueMo8iQm2OVCE9BEgLgZqixbFjx8Q2wSioKf6iL0gvzSC9GJR5FJGioiKYm5uLaoOU0IcehpJ5JN8Q0IUW+rrvnz17hl9//RUPHjxAUVGRcrtcLsedO3eQmZlZbdfWNVJ6VmoC3TuaQXppRk3XizKPBsBvv/0mtgmSgvQQIC0EDEmLDz/8EH///TeaNm2KNm3aKF9t27alEh96wpD8RQqQXppBejEk02HGGPnss8/ENkFSkB4CpIWAIWnx6NEjREVFoXXr1mX2nTp1SgSLjA9D8hcpQHppBunFoMyjiNy4cUNsEyQF6SFAWggYkhYzZsxASkpKufuopZl+MCR/kQKkl2aQXgzKPIpIq1atxDZBUpAeAqSFgCFpsXHjRqxevRovXrxQ2a5QKLBr1y7s379fJMuMB0PyFylAemkG6cWg4JEgCEJH/Pe//8X69evx66+/ovRaRBMTEwoeCYKoEVDwKCJPnjwR2wRJQXoIkBYChqTF77//juXLl2Pq1KmwsLBQbpfL5di8ebOIlhkPhuQvUoD00gzSi0HBo4j069dPbBMkBekhQFoIGJIW3bt3x3fffYdmzZqV2bdixQoRLDI+DMlfpADppRmkF4MWzIjIkSNHxDZBUpAeAqSFgCFp8ccff+DcuXPl7gsMDNSzNcaJIfmLFCC9NIP0YlCRcBGp6cVGNYWKhAuQbwgYUpHw0aNH49GjR2jevLnKdrlcjsjISGRkZFTbtXWNlJ6VmkD3jmaQXppR0/WiIuEGwIYNG8Q2QVKQHgKkhYAhafH666/D0tISLVq0UCkS3qZNGzRo0EBs84wCQ/IXKUB6aQbpxaDMI2FUGErmkdAt+rrvQ0JCYGVlhXbt2pXZ5+7ujtmzZ1fbtXUNPSsJwvigzKMBQA3WVSE9BEgLAUPSIiYmptzAkd9HVD+G5C9SgPTSDNKLQcGjiDg6OoptgqQgPQRICwFD0mL37t2Qy+Uq24qKijB//ny4ubmJZJVxYUj+IgVIL80gvRgUPIqIr6+v2CZICtJDgLQQMCQtioqKMHv2bCgUCgDAw4cP0a9fP+zZswf29vYiW2ccGJK/SAHSSzNILwbVeRSRt99+W2wTJAXpIUBaCBiSFpcuXUJERARmzZqFwYMHY/78+Wjfvj1u376N119/XWzzjAJD8hcpQHppBunFoMyjiGRlZYltgqQgPQRICwFD0qJBgwbo378/pk+fjm+++QazZs1CcHAw2rdvX2H9R0K3GJK/SAHSSzNILwZlHkUkJydHbBMkBekhQFoISFmL0aNHo6CgoNx9bdq0we3btzF8+HBlnccJEybo2ULjQ8r+IkVIL80gvRgUPIpIp06dxDZBUpAeAqSFgJS1aNKkCZ4+fQo7OzuYmqoO5LRp00b5b7lcjtjYWH2bZ5RI2V+kCOmlGaQXg4JHEblw4QI6d+4sthmSgfQQIC0EpKzFvHnz0LlzZzRp0qTSY0+ePKkHiwgp+4sUIb00g/RiUJFwEcnJyYGlpaWoNkgJfehhKEXCyTcEdKGFlO57Q8FQNaN7RzNIL82o6XpRkXAD4PfffxfbBElBegiQFgKkBaEJ5C+aQXppBunFoMwjYVQYSuaR0C1032sOaUYQxgdlHg0AanOkCukhQFoIkBaEJpC/aIah6CWTAcuXAxMnsp8ymTh2GIpe1Q0FjyLy9ddfi22CpCA9BEgLAdKC0ATyF82oql76COo8PYFOnQB3d+D5c/azUyfAy0v316oM8i8GBY8icvjwYbFNkBSkhwBpIVBTtLhz5w6ePHkithk1npriL/qiKnrpI6iTyYBZswBHR+DpU8Dfn/2cPh2YORP491/dXUsdyL8YFDyKSL9+/cQ2QVKQHgKkhUBN0OKzzz7D6NGjceTIEWzatElsc2o0NcFf9Im2eukrqPPwABo1AlxdAQsLts3Cgr1v2BDYvVs311EX8i8GBY8iQlkIVUgPAdJCoCZo8eTJE9SpUweLFy/GxIkTcfr0abFNqrHUBH/RJ9rqpa+gLi4OsLcH6tZV3W5hAXTvzvbrE/IvhkEUCS8qKsKaNWvAcRzq1q2LuLg4/PTTTyodHDIyMrBgwQI0a9YMSUlJWLNmDTp06CCi1ZVjYkIrc0tCegiQFgI1QYvAwEDwhS1atGiBxo0bi2tQDaYm+Is+0VYvfQV1dnbAhQtAfr4QpALsfUQEMGeObq6jLuRfDIPIPDo5OaFhw4ZwcnLCypUrMWPGDHz00UfK/RzHYcyYMRg4cCC2bNmCpUuXYtiwYZLvQdmyZUuxTZAUpIcAaSFQE7SoXbs26tSpo3xfv359Ea2p2dQEf9En2uplZwfcucOCuJLwQZ2dXVUtYzg6AllZwMKFwrXy89n77GxgxgzdXEddyL8YBhE8njhxQiXL2KNHD0RGRiItLQ0AcPToUYSEhGDq1KkAgJ49e8LCwgJbtmwRw1y1uXnzptgmSArSQ4C0EBBTi4yMDLi6uuLs2bMAgAMHDqBXr17o27cvNm/eLJpdRMXQvaMZmurFr66OigIyMoCvvqreoK59e2DXLrY4p2VLYMgQoEUL9n7XLqBdO91cR13IvxgGETw2a9YMLi4uePnyJQAgKCgIXbp0QdOmTQGw4LFjx46wKJHTdnBwwKFDh0SxV10+/fRTsU2QFKSHAGkhIKYWn3zyCY4fPw4/Pz8sXboU06dPx9dff43z589jwIABcHNzE802onzo3tEMTfQqubo6Lw+oVw84cgSwtq7eoG7aNODePWD2bOC119hQ9b17bLu+If9iGMScx5UrV2LYsGEYNmwYXFxc4OTkBB8fH+X+kJAQ2JXKkdvY2ODu3bsoLCxUGS7iKSoqQnh4eKXXtrW1ha2tbZW/Q3n8+eefWLlyZbWc2xAhPQRIC4FXaZGYmIjExMRKz1FUVKTVtR8/fox///0XZmZmyM3NRVpaGmb8L6XSq1cv/P3331qdl6g+6N7RDHX1Krm6+vff2fzD/HyWeTx6lAWSc+awjGN1ZAPbtQPWr9f9eTWF/IthEJnH9957DwcOHMCNGzfQr18/bN68Ge1KeGdycjKsrKxUPmNpaQmFQoH09PRyz5mcnAwHB4dKX4sWLUJMTAxcXV2RnZ2trC7v5OSE9PR0bNu2DZGRkTh58iTOnDmD8PBw7NixAykpKSrH5uXlwcXFBffv38fhw4fh5+eHIUOGwMvLC0+ePFE5Vi6XY/369Xj8+DH27duHa9euISAgAN7e3pDJZHB2dkZBQYHKZ5KSkrBz506EhobC19cXPj4+iI6OhpubG7KyslSOzczMxNatWxEVFYUTJ07g7NmzCAsLg7u7O54/f65ybH5+PlxcXCCTyXDo0CH4+/sjKCgIe/fuRXx8PNauXQuFQgEnJycoFAqsXbsW8fHx2Lt3L4KCguDv749Dhw5BJpPBxcUF+fn5Kud//vw53N3dERYWhp49e+LEiROIiorC1q1bkZmZqXJsVlYW3NzcEB0dDR8fH/j6+iI0NBQ7d+5EUlKSyrEFBQVwdnaGTCaDt7c3AgICcO3aNdyK2If0zMe4FLgeCoUcFwPYZy4GOCEj6wlCbnshNv46Hjz0Q0T0YSSn3kdAkAtevsxTOTb3RQquh+7A04RwxNw/g+h7J5GQFIlt27YhPT1dxZbs7Gy4uroiJiYGx48fx/nz5xEaGordu3cjISFB5djCwkJs3LgREydOxMGDBxEQEICrV69i//79iIuLw6+//ori4mKVzzx9+hSenp64efMmLl68iCNHjuDevXvYvHkzcnNzVY5NTU3Fn3/+iYiICJw+fRqnTp1CREQEtm/fjrS0NJVjc3JysGXLFsTExODYsWO4cOECgoOD4eHhUcbuoqIibNiwAY8ePcKBAwcQGBiIwMBAHDhwAI8ePcKGDRtQVFSk8pmEhAR4eHggODgYFy5cwLFjxxATE4MtW7YgJydHpZNDWloatm/fjoiICJw6dQqnT59GREQEZs2apdZ9nJycXNljply++uorxMbGAgAaNGiA3377TbmvsLAQBw8e1Oq8RPVBv9g1Q129KlpdvWcP0Lgx0LUrC+70PYysb8i/GAbT23rz5s2IjY3F3r17Ubt2bfj7+6NLly4A2EP9448/xv79+5XHr1ixAuvWrUNKSgqaNWum3M73bbSxscG5c+cqvW51Zh75BUAEQx96GEpva/INgVdpoW7mcdSoUUhOTtaqT3NkZCS6detWZnthYSGOHj2KyZMna3Q+Q8FQe1vTvaMZ6uo1cSIrBO7vX3bfkCFsONkY/paq6f6l7n2vk2Hr/Px8nD9/Hu3bt8fbb7+ti1OqsGfPHgQFBeHo0aOYOXMmhg4dirFjx+LevXswNzeHra0tsrKyVD6Tm5sLMzOzMhlJHnNzc/Ts2VPntmrCokWLRL2+1CA9BEgLgVdpoe4fd+bm5lpfv7zAEQDq1KlTYwNHQ4buHc1QVy+plcwRC/IvhlbD1n369MG4ceMQGBiI3Nxc9OrVC+PHj8d7772HPXv26NpG/Pzzz/jiiy8AsAf5yZMnERcXB////Qlkb29fZlgqKSkJDg4OMDWV7sj8zp07xTZBUpAeAqSFgCFoER8fj99++w1Tp07FqFGj8NFHH2HGjBlwd3dHQkKC2OYZFYbgL1JCXb2kVjKnqmjbk5v8i6FVZFVcXIwDBw5g4MCBWL9+Pe7fv49z584hKSkJISEhurYRWVlZKote+vbti+7du0OhUAAApkyZgjt37qCwsFB5TGRkpORXRY0aNUpsEyQF6SFAWghIWQuFQoHFixfjzTffxNKlS3HmzBnExMQgPDwcx44dw9y5c/Hmm29i+fLlYptqNEjZX6SIunrpqmSOtkGbLqlKT27yL4ZWweMHH3wACwsLpKSkwM3NDV9++SWGDx8OU1PTKg0PVcSkSZNw4sQJ5fvc3FyYmppiwIABAIAxY8agS5cuOHPmDAC2+rqwsBDz5s3TuS26JCoqSmwTJAXpIUBaCEhZi++//x5yuRzXrl3DixcvkJ6ejsePH+Pp06fIzMzEixcvEBAQgOzsbKxatUpsc40CKfuLFNFEr6qWzKlK0KYrqtqTm/yLodWcx5SUFJw+fRqbN2+GiYkJ1q1bBwCQyWQ4cOCAzotzb9q0CUuWLMHs2bPRqVMnJCcn48CBA2jQoAEAwMzMDCdPnsTixYtx8+ZNJCYmws/PT/JdHKhFmSqkhwBpISBlLYqLi+Hq6lrhfgsLC7zzzjt455138O233+rRMuNFyv4iRTTVS9uSOaVL/Tx9yoLH48fZtpYtgaFDNT+vppRcNc63VuR7ch87xnpyv+r7kX8xtAoef/75Z/z8889o0KABTp8+jddffx0+Pj7Yv38/evXqpWsbUbduXWzbtu2VxzRv3hze3t46v3Z1YmlpKbYJkoL0ECAtBKSsxfPnz5GRkYEmTZq88riCggKkpKTo7LoXLlyAr68v2rdvj0GDBqFz587IyMjAggUL0KxZMyQlJWHNmjXo0KGDyufc3NwQGhoKU1NT9O/fHzNnztSZTVJByv4iRSrTSyZjAVdcHFs04+jIhrA1pWTQdvAgCyQbNWIlfmJjgeHD2THVXfi7qj25yb8YWgWPr7/+Ov7880+VbZ988gk++eQTnRhlLNy9exd9+/YV2wzJQHoIkBYCUtZizpw56Ny5M4YNG4aePXuiadOmsLKygoWFBbKyspCcnIybN2/Cz88PW7durfL1OI7D999/j5ycHPzxxx+oVauWcvuYMWPw5ZdfYvbs2QgPD8ewYcMQHR2t/GXn7u4Ob29vBAUFQaFQoFevXrC2tsbYsWOrbJeUkLK/SJFX6eXpKQR59vZstbWzM5vj+Kogr7yAkw/anjwpW2x80CCWiZw5E+jfv3prRVZ11Tj5F0OrOY+JiYkYPnw4PvjgAwBAeno6NmzYAE9PT50aV9MZNmyY2CZICtJDgLQQkLIWQ4YMga+vL9LT07F06VJ89dVX+OijjzBs2DCMHz8eCxcuRGZmJnx8fPDRRx9V+XorV65UFnXnA0eAtWgNCQnB1KlTAQA9e/aEhYWFcgpRfn4+VqxYgenTpwMATE1NMWHCBCxZsgQGUupXbaTsL1KkIr20nRtY0bzG7Gzgzh32vmSx8fx81if7k0+Ahg3ZsLE6aLPwRiYD0tNZT+5+/YDTp9lnJ0xg77OyKl81Tv7F0Cp4nD9/PpKSkpS9pa2srLBs2TIEBQVh06ZNOjWwJuOlz1nCBgDpIUBaCEhdC3t7e5w+fRppaWkICAjAoUOHcPjwYVy7dg1JSUnw8fGBg4NDla8THBwMZ2dneHp6wszMTGXf0aNH0bFjR1iUSKU4ODjg0KFDAICAgACkpqaq1LZ1cHDAw4cPERYWVmXbpITU/UVqVKRXRR1lXF0rDvJeFXCePw9kZrI5jl27smHjkqV+5s5Vb9gY0G7hDf+Zo0eBt95igeyYMcDGjYCPD3sPANeuvfra5F8MrYatnz17htDQ0DILY3r37g0nJyd8//33urCtxlOTq9RrA+khQFoIGIoWlpaWGDhwYLWd/5dffkGfPn3g5eWFwMBA5Ofn45dffsGQIUMQEhICOzs7leNtbGxw9+5dFBYWKkuo8X/w8/sB4Pbt26+cq15UVITw8PBK7avOblyaYCj+IhUq0kubuYGVLUbp1w84d47NcRw0iGUcs7PZMHiLFuoNG1fUY3vhwoqHvctbrNOpE7M1PZ3t++Ybtq+yoXND9S91u3EVFRWpdT6tMo/9+vVTqbvIc/LkSeTl5WlzSqOkZO9egvQoCWkhUFO0SE1N1fqzL168wMWLF9G8eXN8++23OHfuHFq0aIHRo0cjNjYWycnJZbppWVpaQqFQID09XdlEoeQx/FzIyuxKTk5Wq3/4okWLEBMTA1dXV2RnZ6v0MU9PT8e2bdsQGRmJkydP4syZMwgPD8eOHTuQkpKicmxeXh5cXFxw//59HD58GH5+frh+/Tq8vLzw5MkTlWPlcjnWr1+Px48fY9++fbh27RpmzJgBb29vyGQyODs7o6CgQOUzSUlJ2LlzJ0JDQ+Hr6wsfHx9ER0fDzc0NWVlZKsdmZmZi69atiIqKwokTJ3D27FmEhYXB3d0dz58/Vzk2Pz8fLi4ukMlkOHToEPz9/REUFIS9e/ciPj4ea9euhUKhgJOTExQKBdauXYv4+Hjs3bsXQUFB8Pf3x6FDhyCTyeDi4oL8/HyV8z9//hzu7u4ICwvD2bNnceLECURFRWHr1q3IzMxUOTYrKwtubm6Ijo6Gj48PfH19ERoaip07dyIpKUnl2NWrV8PZ2RkymQze3t4ICAjAtWvXkJsbjdu35VizxhlyuVz5mdWrf0V4uBzZ2ZG4fv06/Pz8cPjwYdy/fx++vvfQpYscmzYJ509JSYGz80HUqVOI0NA8vPvuUwAcYmKyMGlSPhYs2IbPPwcGDLiN7GwOtWrtQUxMDI4fP47z588jNDQUu3fvRkJCApycnODhAdSunQdn50K4uW2En188vvgiBjLZc5iZyTF79gPExcXh119/RXFxscpnli59Cm9vT/zyyzPUq/cSmzb5oFEjOWSyENjZ5aJ581/RsCHg6BiE1NRU/Pnnn/j77xh89tm/GDjwGRwdn2PIkDlIS0tT0TAnJwdbtmxBTEwMjh07hgsXLiA4OBgeHh5Ku/lji4qKsGHDBjx69AgHDhxAYGAgAgMDceDAATx69AgbNmxAUVGRymcSEhLg4eGB4OBgXLhwAceOHUNMTAy2bNmCnJwclWPT0tKwfft2RERE4NSpUzh9+jQiIiIwa9Yste7j0g1XKkKr3tbOzs4YMWIEfH19sXTpUty9exerV6/G0aNH8e2332Lz5s2anlJvSKlfa3Fxscq8JWNHH3oYSm9r8g0BXWghhfve1dUVCxcu1OqzUVFR6NatG44ePYrx48cDYKXROnTogO+++w7u7u74+OOPsX//fuVnVqxYgXXr1iElJQU///wztm3bhqKiIqWW/OednZ3LHS3iNbOxscG5c+cqtVEqmUe6dzSjIr1kMpadmz5ddX7iwoVsCPjePZadK7k4Ji6ObU9IEIa6PT1ZNo/jgFatgNxcNufQxARo3JhlNyMihAxkZautS/bYLr2g5+pVQC4vu2q7dF/uku9L9+Uu+b70+e/cAbKyOOzaZVLtq8J1jbqZx1GjRiE5ObnSZ6VWmcclS5bg77//xubNm1G/fn28/fbb+Pvvv/Hdd99hw4YN2pzSKKH5oaqQHgKkhYCUtejXrx/eeOONSl+tW7fGkiVLtL5Obm4uAChr2wJA+/bt0apVKzx48AC2trbIysoq8xkzMzNYWVkpg7qSx/DntLa2fuW1zc3N0bNnz0pfUggcAWn7ixSpSC91OsqUnnt49y6b1zhyJAs0ZTK2AIUvjThqFBAQICxK+ewzzYuN29mxIC4qSnV+5ZkzgKUl0K1b2QU9/Gf4tor8+/R0FrjyMz74Fdd2dhXP3+zZ845axcSlhq2trVr3sbqNXrT688zU1BQ//fQTli1bhocPH6KwsBDt27eXfFFuqcH36yYYpIcAaSEgZS2++OIL7Ny5E2PGjEHd0pPDSvDy5UucOnVK6+u0bNkSAKtsUZLXXnsNVlZWsLe3x5MnT1T2JSUlwcHBAaamprC3twfAhqD5eY9JSUkAgD59+mhtlxSRsr9IkVfpNW0am/+3ezfLKs6ZwwI/PuNY3tzDkSOBwECgeXPAzIxlHNPTgY4dgSNHWOD5xx9sDmSTJkCpqn+V4ujIygVNncoW7ri6smvwC2/27wcGDlQt9s1/ZuFCdjz//j//EVZYl+7TvXs3yzguXAisWSOUHVqzphkmTaq8mHhNp0q5/dq1a6NTp05ISEjAzp078dZbb1HfRw24du1amUnuxgzpIUBaCEhZi7lz56JRo0aYpkbKpCorrlu1aoVu3brhxo0bmDhxonJ7eno63n//fTRq1AhffPEFCgsLlfPRIyMj4ejoCAAYMWIErK2tcfPmTXTq1Em5v3Pnzsr3NQUp+4sUqUyvijrKVLQ4xtcXeP11FmhFRAD16wM3bwJduggB2rx5QK9e6q2sLg2fEXV0ZMHp6NGqw95dupRd0MN/ZuZMttrb3h6oUwe4f5/ZN3u26jnatWOft7Fh52rUiJ3jxAng119boGlTlvkEdFdE3dDQatjaxsYGo0ePRmBgIFJSUtC7d2+sXLkSP/74Iw1ba0CbNm3ENkFSkB4CpIWAlLWoU6eOsrZiZYwbN65K19qwYQMOHjyoXOBy69YtWFhYYNKkSRgzZgy6dOmCM2fOAABCQkJQWFiIefPmAWBDzz/++CN8fHwAsHlu3t7eNfJ5LWV/kSLa6vWq1dgODkBhIVC7NpuDuGYNq6f49KlQ6ufOHWG4WFOmTWMBX61aQLNmqsPeJYeeS3+mZF/uhQuBS5eABQvKHzpv2JC9//JLYN064NYtFnDWqSNHWhobJv/007Ilgzp2BD74gM2rnDOHvTSpRWkoaJV57Ny5M86ePQsAmDdvHtLT03Hz5k3Y29tXaV6PsSGXy8U2QVKQHgKkhYDUtShdc7G6GDlyJLZt24Y5c+age/fuiI+Ph6+vr3KO0smTJ7F48WLcvHkTiYmJ8PPzU5lKtGjRImRlZWHOnDkoLCzEsmXL8OGHH+rFdn0idX+RGtrqVVmnlrp1gZcv2bZr1wA/PzZU/McfbF9mZuUFuV/FkiUsS9ioEbBqFbMhKooNZ2dmskU5MplqFpDPol68yD7z119seH3NGqCi2t/Z2SxT2r8/+x5mZiznZmLCht779GHzOC0sgB07gK+/Bs6eZfM8MzPZOd54Q/3uPIaCVsHj4MGDAQCxsbHw8PDAN998o5xTQ6V61EedlU/GBOkhQFoIkBYCEyZMwIQJE8rd17x5c3h7e7/y86tXr64OsyQF+YtmaKtX6XmEJVdjZ2WxwKlOHWDTJmDRIpbJs7ER6jiOHq1eG8KKhoVLD0Xb2LBMIaA6v7J0sOboyBb6mJiwwPPJE9ZXe8YMdixPdjY7z7Fj7H1gIBsmLy5m2xUK4MEDICQEePaMzbucPx94910WZGZmsqxoRgbw6BEwYAAbztdHC0Z9oNWwdUpKCrZu3YqxY8fCysoKq1atAsDmTpQsFUG8mpo2Ub2qkB4CpIUAaUFoAvmLZmir16tWY48cyQKzoiI2PM0X/+7blwVgJiZskU1lVNZJhh+K/vRTNn/R3p5lH+/eLb+V4sWL7JxWVizT2LEj+2llxRbA+PkJ17azY4GliYnwMjcHTExMEB/PvkejRmxofvduFuBaWgLXrwMNGrD9GRksaDYxYWWEjh9nAbW6LRiljFbB48aNG5Gbm4v33nsP/v7+aNiwIXx8fHDw4EFMmTJF1zbWWI7xf9IQAEiPkpAWAqQFoQnkL5pRFb1KzyPk5w02bAj06MGCJE9P1k0mOJgN78rlbKi3ssybur21+fPUqQN06AAcOMA+W14rxblz2c+CAhZIBgez4eSCArZ99mzh+kOGAC9esBXhtWqxFdzPngFWVunIy2MLc7KzWcaTr3HZsCELKAsL2fd0dGSfGTiQBZ78oiF+sY0ho1WR8Iq4evUq2rVrJ5l6X+UhhWLBPCVXRhL60cNQioSTbwjoQgsp3PeG9n8qBc20wdB0FhtN9FJ3ZfHy5SxL+PQpC574Uj8tWrBs5ddfV17mhj/Hs2eqi3Ly89l55sxh5/D0ZEPOZmZsaJgV8haGq/mi32vWsODS3JwNOTs6Ar/+Cixbxr6TmRnLlMpkLCBdvhxwcwPy8tiQNMAC1MJCDubmJnjtNfb9TEyA3r3ZqmwvL5bF/F8VLKSnM9tbtGBZyV69WB/tbt1YzUtexyFDWHAshRXb6t73WmUeFQoFfH19sX//fuzdu1f5unLlCj755BOtjTY2nJ2dxTZBUpAeAqSFgCFp8aqH7X//+189WmK8GJK/SAF19apsCLkkjo4sgFu4kAVO69ezAC0ri3WYUWehTGW9taOihLqT1tas5M6ZM6rZyehoNmTesCFbNW1iwgLE+vWZbc7OzCZzc7bdzEzIUsbFsQzphQvs8wDLKJqaylFUJASOHMfmPbq7swVCSUlA587s+MWL2WKb7Gw2B/LhQ3Z8ZKSgo5sbm3Pp5la5rlJCq8zjrFmzsLucQXsTExP06dMHN27c0Ilx1YGh/jVN6AZDyTwSukVf9/3YsWPh4+MDU1Ph7/L8/Hz88MMP2L59u0GtBKZnpe4w9FqAfKvC0gXBS7cqLImXFwvg+NZ+mrQgBFSzl6VXczdrxn7WqcMWsNSvz4LAgQNZnUmAraJu04YFaqam7AWwIBFggV+TJizQu3aNbatfnwWQLVoIdSD5rjSvgg9w+eFv/loKBfvZqBGzj8feHrhxg323jh2ZL/z7L9OxRYtX61rdVGvm8cGDB7h//z4yMzOxYcMGKBQKKBQKbNiwAZ6enlobbWzwzcwJBukhQFoIGJIW8fHxGDduHGJjYwEA58+fx9tvv42DBw+ivSFFCwaM1PxFk4ydGKijV8mC4HwgV96cwpJUNB9S3TI1JbOXfACXnw989RUbSp4wAfjwQzZUnZjIAsfAQMDWltVZzM1lQ9gmJmwFdFGREDgCLAOYkwMEBQnbXrxg22QyFuyWDBwHDGBDz4BqAsLeng1Ph4SwILJuXRY0KhRAvXpsQU12NjBiBAsUATYv08KC6dq4MQskGzZkmdA1a4RsqJST6FqV6hk0aJDyQZifn4+cnBxYWlrik08+wfTp0xEYGKhTI2sqfPcHgkF6CJAWAoakRUBAAADgm2++QXp6Onx9ffHll1/CxcUFGRkZ4hpnJEjJXypq4bdwoXRKtqijV2VDyBV1iqmoO406lNcVJiKCDf/Wr8+C7//+l80VBICtW9ncw1q1WDBpairYdvVq+dcoKhL+T3i6dmVzI/382GppgGUja9ViLx4+u9ihA+Dtzf6f+WxmYSELTvPymGbvvMOCy8xMFkC+/Tb7bFwc+54bN7IMqrs7CyZ79GDvd+4E+vXTvi5kdWa8tco8ymQyrFy5Ejdv3sS0adMwadIknDt3DmvXrkVkZKRuLDMCzp07J7YJkoL0ECAtBAxJCx8fH7i7u+Pvv//G/fv3MWzYMGzcuBFWVlZ48803xTbPKJCSv2iTsdM36uhlZ8eyeKWHcCvq5qIrystejh7NArz//pfNe8zIYFnHHj3YCmdTUyA2ls0/5CflvWpyXunvdO8ekJamOswMsKHyzz4DWrZk/eUVCnZemYzNu+zcmWUaZ8xgWco33mBB51dfMX3mzGHfIzlZuGZ2Nlvx/ccfLONpZsa2ffEFK/fTrZvqynJNqO6Mt1bB47p163D9+nX4+/ujdevWmDhxIsaNG4c9e/ZQhxkN6Natm9gmSArSQ4C0EDAkLRwdHbFixQrMnTsX0dHR2L9/P1auXIljx47h77//Fts8o0BK/qJtxk6fqKNXRUPICxeyYKe8BTAyGZu3WNXWfHz28uBB9pPjWK/sHTuEzN6tWyxwlMvZEPLLlyygjIwUurwALNNbGfzK5w4dhG0KBQvAdu0CMjIaKbdzHFuUY2bG5kdmZ7OsaFQU8Mkn7A+EJk0E25csEXSMigLOn2fn4ZtUBQezhT1z57Jz7d+v3R8Z6pY5qgpaBY9t27aFv78/fvzxRwDApEmTkJqaiszMTPz0009Vt8pISE9PF9sESUF6CJAWAoakRcuWLREUFISNGzeibt26aNasGXbs2IH09HRMmjRJbPOMAin5i1gZO01QR69XFQTftavs0Ht1Zb1kMrYgxsQEGDuWra4eOFDYz3EsEDM1BSZPZvMGeUxM2MKYEh07y+X8eRZc/ec/wjYLCzafslYtNpxckuJidl25nM2tXLWKBYhz5wJvvQX8/bfQ53rTJtb3e9culilVKNg5+eHxcePYED3HsULrXbpo90eGPjLeWgWPAHDixAllW6Pc3FycPHkSRSVnoxKV8uLFC7FNkBSkhwBpIWBIWmzbtg29e/cus33WrFnYs2ePCBYZH1LyF20ydvpGXb3UXQBz8SL7Xm3asEzXjh2aZ71kMnb+zp3Za84cYf5e48bsnPv2sRXV58+zwBBgQ9qZmSwI4wuC8/BD16/6umZmbIHLjh2qGUu+6/LLl0BhYdle9nI5C8pu3WLXGTAA+OYbliHlWxi6u7NXfLzwGRMTIRg1MWFzNXNy2JB3w4ba/5Ghj4y3VsHjzz//jHHjxikr0zdo0ACjRo3C5MmTER0dXXWrjISO/NIrAgDpURLSQsCQtBgzZkyF+z799FM9WmK8SMlfNM3YiYEmepUeQi4v4zhiBPt3y5bsfceOrH1gZqZ6K4j5z7i7s4BRJmP/fust4PJlFhTNmsUC144dWZaxTh22WKZhQ7Z45fhxdq6XL9XXAWABXWEh4OLCzsEHpRVRoiKXSnb5yhVhSNrCgvW2btmSBd1JSazHdZMmLPM4diwLdjkOGDOGZUwfPRJqUar7R0bJaQJxcUB4ePVmvLUKHi9fvgx/f3/MmzdPua1x48aYMGEC5s+fX3WrjIRLly6JbYKkID0ESAsB0oLQBKn5S1VL1lQ3utKLn2f3xhtsKPnKFWDdOhYUnT3Lso/8CuKSw9clg545c1h2kuNYpjI7m714rYKDgdu3WRDUrh0Lgvr0EXpo16vHbPjyS6BpU/VtNyuVTLSyYgFb6TmSJiZA164P0bgxe8/XcQSYDaUb9bi7s6FsgH3/58/Zv5OShKFqX18WWFpYsO4zBw+y7V5e6v+RUXqawL17LOM9cmT1Zby1Ch67d++OwYMHqxTCBYCMjAyEhYVV3SojYZpUnh4SgfQQIC0ESAtCE6ToL5Vl7MREV3rx8+w++YQtBomKAubPZ4Ff48YsiLK0VF1BXDro2buXBWQWFmwFsoWF8O/GjdmQcslpAHZ2bFi4b1+WZdy3j31+/34gNZXZVdkcR4BlHEvSrh3LPPIlfvhQx8QE6N+/FXbtUj3e3JytquaHiU1MWL3JwYNZhxpra7a9Xj1hP09hIZuLmJ8vzJ00M2P/VqeFS3mLYxISVOteVkfGW6vgsaioCEElKmtyHIcjR47gl19+Qc+ePatulZHg6uoqtgmSgvQQIC0ESAtCE4zVX7Rd3aytXqWvFxXFhpRnz2YB3tSpbBj5jz9YwOjjo7qC2Nm5bNDz4YcsAMvPZ9t4+Ll6jRuz4WlPT5YddHdnq6uvXweGDWPZv9IBF595a9mSBZ/qkJ/PsqDNm7NAjs8wKhTA9u21UXoGiqkp+14pKWwovVUrVu7H3Z1lI7Oz2Xn4uZP8wh7+syU5fpzp8913TJvK5olWtDjG15dt79SpejLeWrUnTElJwdChQ5Gfn4+mTZvi4cOHSE1NRatWreDr64tOnTrpxrpqgFpuGTfUntA4oftec0gzw8HTkwVifCvAO3dYAKduK0BdXC8jg2XWUlKAQ4dY4GNmxjKOfN8QDw9mz5AhbOj2+XPg2TMhY7d8ObB5M8siLlkizI/Mz2eZs/x89llfXxYINmzIgsfSK6B5zMyErGKtWmzxzatKUdepwzKBAAuOP/uMzRGsVYudx9ycbTt1igWEPObmbBW1vT1w5AgLYnNzgbZthdI9JTE3Z9qlprLh9bQ0tt3Skg37R0cLrQpbtGCBX0XF1vk5joMHly0GPmQICxz5oXB1qNb2hNbW1ggNDcWKFSvg4OCAqVOnYteuXbh//76kA0epIbU2WmJDegiQFgKGpEVOTg5mz56Nr776CgCQlpaGjRs3wp9vg0FUO4bkL7qgqjX9NNWrout9+ilbyfzVV8Dnn7MMZK1awuriixdZ4Mgv2gDKrgh2dBRK3xw7xo7NzwfmzWMLbl6+ZIHjjBksaHz+HChZHbBhQ+HfDg6qw9HFxeUHjmZm7DVwIAv6mjVj2999lwVw/Getrdn1DxzgVAJHgH2ubl32MyODBY5r1rCFL6UDR/741FQWWPKBI5+ZvHMH6NWLldN5+rTy1dHZ2ULdy5Jlkdzdq7cclFaZR0NGSn9Np6enw8rKSlQbpIQ+9DCUzCP5hoAutNDXfe/o6IgzZ85g4MCBOHLkiHL7+PHjMW7cOEyePLnarq1rpPSs1ARju3eWL2eBQskMHiBk616VtQI01+tV17O2ZgFQkyYs8xUczOb3/fknCyb5RRueniywPXKEBUhPnwpt9DIyhJXKfDvA4mJ2nlGjWKDEX1smY6uwTUzY64cfWLZv7lz15gsCLJO4bp2Q5cvMrOyzHIDKn/OWlqzsTklMTFjnGH67rS0rz1OSOnVYjck7d5gtFhbAggXl/x/KZGyYnONY0P7HH2z7vHnAnj1sSPzePc3mOFZr5pHQDQc1ySUbAaSHAGkhYEha3L59G/fv30evXr1Utg8fPhyrV68WySrjwpD8RRdUtaafunrxcxz/+osFQE+elL1e165s2LVJE5bx5BeKLFtWdtEG321l5EihNE9CAvC/9vDo04cFoO3bswD4wQOWWSz5XT082BBwixYsMPv3XxaknjrF9puaCoElUP48Q1tb1eCqvMCx9CpqQDjn0KGqC2D4OJxvNzhyJLuehQU7d8mAMjFRtV82r5W/P9O7fXuWzR06tOz1+e9fsu5ly5bABx+wwuQcx8omVdfiLLWCR7lcjjgp9FGqYQwYMEBsEyQF6SFAWggYkhb/+c9/0Jiv41GCq1evIjk5Wf8GGSGG5C+6QNMuNqUXurRu/X6l1yi5KhpggWPpjjE7drCs4OPHbLg2PZ3Nf6xblwWJ6eksSzhyJGvlBwBr17L5kObmLPCMimJZxoEDgbAw4ORJICaGZS750jwlv2tcHKuZmJ3NPieTsX3XrqmuWO7Th+1btEgIKPm/79zcgEGD2OIYvnwOz/jx7PjPPmPv+aDT1JSdt1Ejdk4+4DQzY6vNGzdmL7mcnf/+feDbb1ngWxo+q8qzZg3Qrx/7vv/+y+aRVlRNif/Dga97WbIc1DvvqA7j6xq1gsdvvvkG/ynZq4fQCRSQq0J6CJAWAoakhY2NDRITE2Hyv98GmZmZ+OGHH/DXX3/hk08+Edk648CQ/EUXaNLFpry2gR9/3OGVbQNLz3G8dIkFO+3aCXMqo6KAr79mx3Mc256ayn4WFrJA7c4dFuDk5Qnz8gIDWQC2YAHLAPIrgn19y2+jV/q72tmxoDQri+2PjGRB4O7dLHDjOLaQRCZj2clNm1ggqVAArVsL9t64Uf6iG35194ED7H3JVdd9+jCbP/yQbatTh2338GDZRz7QnDyZXWP9ehbMR0WxIJMPGM3NWVayVi22vVYt9n14Ld55p+LscclgumQ5qFWrWKa2OttfqhU8Xrx4EWfOnFG+v379eoXH5pQe5CcqxKx0ZVIjh/QQIC0EDEmLZcuWYf369di+fTs6d+6M5s2bw8XFBZ988gnc3NzENs8oMCR/0QXqdrGpaKHL0KFPX7mwpnQpmPbtWXAmk7FgycGBDY/zbfn4Y62s2M8GDVjbPnNzoEMHlhn75BN2nrNnWWZt9mzVGpgVDbmX/q6HD7PFKTwcx+YJpqSw9199xQJVPuBMT2dZwBEjWOkgHn51NA8f2O3ezY4vPbRsYsL6Tt+7x74fwFZ/16nDgtdHj4Th6Vu32LC8lxcL8n7/XQhs33iD2TVlCpsjOXUqC2JfvmTffccOloGtKAgUs/1lrcoPAT744AP06NFD+d7Ly6vCTKSvry8+43O81cSFCxfg6+uL9u3bY9CgQejcuTMyMjKwYMECNGvWDElJSVizZg06dOhQrXZUFVtbW7FNkBQ1QQ9dLch5mvA6HoSrnstYywAZkl/UrVsXrq6u+P777/HPP/+gsLAQnTt3hrW1NWqrW2SOqBKG5C+6QCZjAc7IkWzlbr16LGs1Y4bqfLeSQSA/Z9DCAli9Og2hoa2xe3f5izLKm1M5bRortbN8OQu66tZlGcZr19jQdMnzN27M5u0VFbHMW3a2sIqZ7+fcqZNqWSF+yH3OnLL2vPsuy2heugQ8fMiGrVNSWPBWeuh+7162+GTXLqbHvn0sMLt+XViAY2LCgujISLbSOiVFdd5jZmbZ4JHjhPI3ubnsHDk57OezZ2z7pElsQVB+PrNt+nQ2xF0yv9a8OQuE+T7a/HD+48csOPbxYbqWMxMGgBBMz5zJ6kPa2wsaV3f7S7WCx7feegvTp09H69atYWZmhvDwcKxZs6bMcXl5eTh+/Hi1BY8cx+H7779HTk4O/vjjD9T63/8ox3EYM2YMvvzyS8yePRvh4eEYNmwYoqOjYWlpWS226ILQ0FAqql4C0kMg/lkoWjYnLQBp+0U8X4ekHN5++20AgEKhgK+vL7KzszGnvN+GhE6Rsr/omtL1Fh88YJmoTz8tGzhUtLAmKioE3bv3eOXQ6IULLAjii1DLZMCKFSzTtmABC6527GABT1QUcOYMCyT//ZfNj+Q4FkBNmcJWAU+fzrbxw+X8EHj//ixrWlHmrOT3bdCABWspKSzo5Ie4+bmOpqYsizdnDutAY2nJztm7N8vOlgyuly9n+qSns4xperrqdcsb0i4ZqPLBJv/ztddYd5rCQlaiyNeXZRybNwfu3mUBfl4eG/b++2+2SGbXLjZ8DrAh+8hIFnAPHMi0Hj++/GBw2jSm2+7d7DuU94dDdaB2qZ49e/bAy8sLT548QXJyMpqW0zgyPz8fKSkpkJfu9aMjVqxYgZs3b+LChQsqQxNHjhzB5MmTkZWVBYv/eXfHjh0xefJk/FSyCBSkVX4iJSUF1vxyNEIvelR3qR5dkfsiBQ3qq2phrJlHXfhFdd33bdq0Uft8HTt2xD///KOza1c3UnpWaoKxPFdlMpaxc3RkgYmFhWopnNIlWvgSO0+fCkEgAMTHp6B7d+sKS/pcvMiGedu2BcaNY0PMO3YAW7eyoOrePRY0deoEjB3LMmAACyjr1GFZR545c1g27tkzFjw1a8bOGxfHztGqFcvM8ZmzkgXOS39fR0e2OhsQipC//jrLLGZksHmWTZqwwLdBAzbM/Msv5a9cnjiRZSNzc4H332d9uVNTVXtXC7BSPc2asWMsLVkw+/QpC2bNzIRgc/16FszHxTE70tPZMS1bCqvV69dntl65IujWpg1bqd60KRvy3rWLzSl9VcklXaHzUj1fffUVLl++jH///Reff/45YmNjy7ySkpKqrRxFcHAwnJ2d4enpWWZOy9GjR9GxY0dl4AgADg4OOHToULXYoit27NghtgmSgvQQuBFKWvBI2S/mzp0LZ2dnXLp0CX5+fvjwww8xa9YsnD17Fv7+/srX0qVL8TW/ooCoVqTsL7qkorZ0rq7qLTYB2M9x455WOD/O05MN7darx+bxubiwYektW1iQxg+N8sOnJecRFherBo4AG461t2eB4rJlQtB5/z4LHIGK2+iV/r78YpFr14RyPLGxLMg0NwdCQwE/P/ZZhYJlZUeORLmLg+zs2DB8167Am2+yYeT+/YHTp9n+kr2tzczkMDUVemd/+ik7t0zGspp87qxPH2DlShawP3woZDPbt2d2mZqywDkvjwW3FhYs2JbLWbD54AHb5+nJ/t8uXy5rt5hoVST8zp07sC9vzTmA1NRUNONLtOuQDz/8EJmZmRg+fDgCAwORn5+PX375BUOGDEHbtm1hZ2eHyyXU/e677+Dq6oq8vDzUKVGkiY+qbWxscO7cuUqva2tra3RzaGoyhpJ5LA9jzTy+isTERCSWrrJbDqNGjUJycrLOs2ip//sNwj/zZs2ahZ07d5Y5rqioCO+99x6uXbums2tXN4aaeTQWJk5kK6bLa15UUVs6Ly82PMwPc5ecH1c6WCud6Xv2jJXM8fFhgaS5OfDxxyzYcnRkn3nrLRYQ2tmxLGCTJmzBB1+lip87aGnJAiK+APaqVeq14Sv5ffkC4bVrs0CsoIAFdMuWscCZ41hP7X/+YQt1wsIqzsqWPNfVq2yFs7k5W5HNLyTiO8jUr8+G3V1dheHxxo2ZnuHh7Hs1aMAC55kzgV9/Zf8fd+4wOx48YEP7t26xgJ3jVDORAFtI88knTI+mTdlw98uX7LPVPRxdrUXC+cDx8ePHOH78OE6dOoXM/834rI7A8cWLF7h48SKaN2+Ob7/9FufOnUOLFi0wevRoxMbGIjk5uUyFfEtLSygUCqSXnrzwP5KTk+Hg4FDpa9GiRYiJiYGrqyuys7OVrZycnJyQnp6Obdu2ITIyEidPnsSZM2cQHh6OHTt2ICUlReXYvLw8uLi44P79+zh8+DD8/Pwwe/Zs5VSAksfK5XKsX78ejx8/xr59+3Dt2jUEBATA29sbMpkMzs7OKCgoUPlMUlISdu7cidDQUPj6+sLHxwfR0dFwc3NDVlaWyrGZmZnYunUroqKicOLECZw9exZhYWFwd3fH8+fPVY7Nz8+Hi4sLZDIZDh06BH9/fwQFBWHv3r2Ij4/H2rVroVAo4OTkBIVCgbVr1yI+Ph579+5FUFAQ/P39cejQIchkMri4uCA/P1/l/M+fP4e7uzvCwsLw5Zdf4sSJE4iKisLWrVuRmZmpcmxWVhbc3NwQHR0NHx8f+Pr6IjQ0FDt37kRSUpLKsQUFBXB2doZMJoO3tzcCAgJw7do13IrYh/TMx7gUuB4KhRwXA9hnLgY4ISPrCUJueyE2/joePPRDRPRhJKfeR0CQC16+zFM5NvdFCq6H7sDThHDE3D+D6HsnkZAUiWvB2/AiL13l2IKCbATedEVScgwiY47jnuw84p+F4mbYbmRlJ6gcW1xcCP+rG3Hi7GKERx7Ev7EBeBR3Fbfu7EdcXBx+/fVXFBcXq3zXp0+fwtPTEzdv3sTFixdx5MgR3Lt3D5s3b0Zubq7Ksampqfjzzz8RERGB06dP49SpU4iIiMD27duRlpamcmxOTg62bNmCmJgYHDt2DBcuXEBwcDA8PDyQkJCgcmxRURE2bNiAR48e4cCBAwgMDERgYCAOHDiAR48eYcOGDSgqKlL5TEJCAjw8PBAcHIwLFy7g2LFjiImJwZYtW5CTk6M8dujQoUhLS8P27dsRERGBU6dO4fTp04iIiMCsWbPUuo+rq8Zis2bNVJ55Fa30DQ8PR1hYWLXYQKhiLO0JNa3vCLAAsXQ9wAULtpXb/7p0pq9dO1bqZulStr+oiK2W/u03FnjNmCGsUr54kc3fO3tWqFFoYcGyi3I5C5Y++YQFfJMnq7c6uPT3bd+eZfcKC9k2jmNzCPlsKV/yRi5n8wZflZVt3551mSksZCvG+WCt5Ar0ggJ2ruxsBb75hgW7AAskeT2//poNjefmMnvu32e6RUay4eejR9lnpkxhLRzv32dalA5T+O/RsSPTqbiYBdyl7RYTrTKPxcXFWLBgAXbt2qWc31i7dm0sXrwY69at07mRUVFR6NatG44ePYrx48cDAGQyGTp06IDvvvsO7u7u+Pjjj7F//37lZ1asWIF169YhJSVF5eEupcxjXl4e6tWrVy3nNkT0oYehZB5fvsxD7dqqWhhr5vFVfiF25rE0K1euRGZmJubPn482bdogIyMDly5dwo8//ogOHTqojI5IHUPNPBrLc5XPDPJZsMrmPFZERXqVl9nkr9mggVBbsVYtofQMwDJzKSmq8yo7dmSBUt26LAjkV1t37MiuUVH2s7Lv+/33rAh3UZFw/UaNWAaRL9djYiJk7GQyYc7jpEksY9q+vXCNDRvY3NDK2hP+8osJfv2VZRfr12dB4+zZLBBcuJAFeba2LGi1s2NzMPlWjD17Mi2aNGHzMK9eFTKYTZsyu62s2BD6zZssoP31V9aysbxssq6p1szjjz/+iPPnz8PZ2RlXrlzB/fv3cfnyZRQWFlZL8Jj7vwJMDfiCSgDat2+PVq1a4cGDB7C1tUUW78klPmNmZlZhz05zc3P07Nmz0ld1Dllv37692s5tiJAeAtdDSQueV/mFra2tWvexubm5Xmxds2YNateuja5du8LS0hKtW7fG9OnT0bBhQ+zatUsvNhg7xvIcUbe+Y2VUpFd5mU0PDxYsZWWxYdqoKBbAffyxkHXMy1OdV5meLtRr/OorVr9xzhz24v997x4rwVOy841MVtamESNYYGZlxVZQ79rFMoQDBrBFPPzwdclMnocH04LP5PHDw3yh8pJzIMeNY9/DxoYNW5fExIQtBjIzk+Onn4T5nC9esIxshw4sq+nhwTKfBQXs3+vXC60Y581jcytnz2aaRUYK8z4tLZk+jRqxoNbWlg3pN2zIAsqKsslioVapntIEBwcjKioK9evXV25r3749+vXrh3nz5unMOJ6WLVsCQJkh6Ndeew1WVlawt7fHk1KNNpOSkuDg4ABTU63iY73wIV+angBAepSk81ukBY8h+YWpqSl+++03LFiwAOfPn0dubi7eeustjBo1SllajKheDMlfqoouyrRUpJejI+DszAJBPtP377/CgpADB4C33xbmKL7zDhASwgJZDw8WaHXpwrJnL1+y7NmyZeXbULrk0IUL7Np8NrLk/nfeYYFUSAgL0vhSNtHRbBg7IoLZaGLCFshER7MuMGfOsAUq8fFswQpfEogvEdSundAretAgIDiYDT9/9x3w008syPv2W4Dj2NSU+vWF4XK+XWFxMfv3gAEsU9ivHwvy27UDfv6Zze3kODas/+gR++5vvMEyo3I5W+STm8sW7Hh4MM1DQtg80+ou+q0pWj3N+vTpoxI4lqR0EKcLWrVqhW7duuHGjRuYOHGicnt6ejref/99NGrUCF988QUKCwuVi2MiIyPhyM/ilSh37tzBW2+9JbYZkoH0EEhIugObZqQFYJh+0bZtW8ydO1f5Pv9/aRgKIKsfQ/SXqsC3pdOWivQqrwD1jRsso/bWWyxw5MnPZ5nCpk3Z0Cxfh/HmTTak/KrAsWTnm9Ilh2bOZMFoRfs9Pdm28eOFAHrwYBZkrV/PAjBfXzaMDbDV2J9+KhzbsiULAvkC6XwtzDffZPUX+/ZlK6bNzYH/+z+2aIgv35OXJ3yHhg3Z4pwrV9j+H3/ktWULdgChh/WgQay0kL09s/u//2VD/woF+7yJiRB8d+3KhrUBIYMqFbRKy+Xm5uLu3bsq2+Li4jBv3jy8KL02X0ds2LABBw8eVK5uvHXrFiwsLDBp0iSMGTMGXbp0UbZQDAkJQWFhYbVkQXVJebUyjRnSQ6CeBWnBUxP8Ijg4GN7e3mKbYRTUBH/RJ6/Sq/QCmy+/ZNv5gtqAEMhlZbEAafZsYO5c1tll8WKWVasocAQqLzn000+VlyQq2dd5/XqW3duzB5gwgQ0Zv/YaW6zTqxdbtPLnn2yupYcHqyvJz+vkh+onTWJBb3Aw+54LF7Jr8csnTEzYEDjHMY2ePQMCAlipngYN2PYmTVipn++/Z4te7O2FzzVpAuzfzwJHR0eWcTQxYUFuly7sGp98IgyxX7z46vmgYqDVn8ErV67Ee++9BzMzMzRq1AjPnz9HfHw8rK2t4V9e3QAdMHLkSGzbtg1z5sxB9+7dER8fD19fX+VcppMnT2Lx4sW4efMmEhMT4efnV2F2VCqUrEtJkB4lMTcnLXgMyS9MTU1hwk/+KkXv3r0xZcoUPVtkfBiSv0iByvQqndls25bNSWzenA0hR0WxwLF/fyAoiAVLmmTIKup8w/e3fvjw1fvL64zDB6R79rAA7No1Vqrn6VOWRZwxg81TTE9ncwtDQ9mQPD9U7+oKrFnDAldbWzbHMjubDSnb2BQiObkuCgtZxvCPP5htO3aw8/AFFzIzWdH0XbuYfvn5bKiczzoeOKDaLnL3brYY6P59NvR94AALYD08WOFyqaFV8NiiRQtERERg9+7dCAgIQPPmzTFnzhx8/fXXaNSoka5tVDJhwgRMmDCh3H3Nmzc3uL/sHzx4UGGPcGOE9BBISXuAtq1JC8Cw/GLo0KGYOHGiylxruVyOEydO4NNPPxXRMuPBkPxFCmiq1//9H8uSLV/OhqVff50NuQYFaddPubz2h4BQcuitt4SFO+XtL6/jJx+QHjzIhrwbNGCBGMB+Xr3KPr9sGcuW8hnM9euFofpGjdh8xEeP2CIXKyt2bGpqbZiYCJlXjmMB9NdfM12GDGHlidq3Z3MfS86p7N6dnevOHTbEXzIo/vxz1vu6Uyd2zaZNgZMnpTVUXRKtJ+DUq1cPCxYswIIFC3Rpj1HxvhT/nBAR0kOg/RukBY8h+YWLiwu6du1aZruVlRViY2NFsMj4MCR/kQLa6LVsmeo8Qzs77fspl7cwhx8Kz85mdRNHjqx4f3mLSOzsgHPnWJaPnyv53ntsGBpgi1BsbVkmcfduYO9eIYNZehHSsGFse1YWO+/o0c/x8KEtpk9n2994g5Xi4TjWsnHHDvbv/v2ZvceOsXOtWsWC3c8+Y+9lMrZ4h1+VvnAhs2fnTrYIaOxY6QaOgJZzHgndsGfPHrFNkBSkh8Ct26QFjyH5RXmBIwC0bt3aaIpXi40h+YsU0Fav0vMMtQ10Kis5NHSo5iWJHB1ZYFmrFqvdaGHBsoD8whlzc5bhu3ePZfxKl8Ep+d3+/JO9+O955cpuTJvG5iECLJNYVCTMz4yOZtuzs9lPfuidD3Z/+IHZHR3Ngs433xS+zx9/sEBXaiury0OrIuGGjKEWviV0g6EUCS8PYy0Srgv0dd+XV+EhPz8fgYGBsLKyQlRUVLVdW9fQs5LQJ//+++pMZmX7S9O3L8s0Wlmx4eGwMBaUDRzI9jdvzuYTalpUvSReXkJnHYWCBadFRWzuopcXCyhzclgQW1SkWgj9339Z6Z9z51hPa3t7trhInYLp1Um1FgkndANlIlQhPQT4loWEYfnFkSNH8PDhQ8TGxipf6enpGDt2LE6dOiW2eUaBIfmLFJCKXpVlMjXNdL73HqvZOH06W209bx4rGRQUxOY8Xr+uXVH1knpNm8YWuPBZwo4d2XzGXbtYNrN1a1a/8auvWHBaMiBs147VnnzwgM11bNtWKJgutZXV5aFV5nHjxo148803la0CDQkp/TUtl8sr7IVrjOhDD0PJPCoUcpiaqmphrJlHXfiFvu77rVu34ptvvimz/eLFi+jevTusra2r7dq6RkrPSk2g56pm1FS9Kmrf+NVXrFzP6NGsjqKmczUr0svLS1hoY2/Pgkexs4jaUK2Zxw0bNiAiIqLcfUY2Cl4lNm7cKLYJkoL0EPC/RlrwGJJf/MNXBC5F7969MXbsWD1bY5wYkr9IgZqqV0VzKY8fZ8PVp09rN1ezIr1K18Q0pCyiNmi12nr79u3IK1levQS///47Fi1aVBWbjIZJkyaJbYKkID0EenYjLXik7hfR0dFwcnJCcnIyHjx4gPv375c55vHjx3j58qUI1hkfUvcXqVGT9dJF+8bSvEqvqnb7MSS0yjx6eXlh7dq1cHBwwJAhQ5Svd999F//3f/+naxtrLIGBgWKbIClID4FHcaQFj9T9okuXLnB3d4eFhQUaNGiANm3aqLzs7OwwevRomvOoJ6TuL1Kjpuulq1XhPDVdL3XRKvNoa2uL1NRUdOrUSaUYrkKhQHx8vM6Mq+m0bdtWbBMkBekhYNWEtOAxBL9o2LAhjh8/jr1792LWrFlim2PUGIK/SAnSSzNIL4ZWweP8+fNRr149dOzYscw+X1/fKhtlLBQXF4ttgqQgPQQUCtKCx1D8ok6dOq8MHDMyMtCkSRM9WmScGIq/SAXSSzNIL4ZWw9Y9e/ZEWloa/vrrLwBAWloajhw5gpcvX2LkyJE6NbAmk5SUJLYJkoL0EMjJJS14pOwXCQkJKvO/4+Pjy33FxsZizZo1IlpqPEjZX6QI6aUZpBdD6zmPAwcOhJeXFwCgadOmytWEceV1KSfKxcHBQWwTJAXpIdCyOWnBI2W/6Nq1K2bPnq18P3jwYLRt27bM680334Srq6uIlhoPUvYXKUJ6aQbpxdAqeNy0aRP27t2Lfv36KbfZ2dlh+PDhmCH1njoS4sSJE2KbIClID4GouyfENkEySNkvfH198euvvyrfz5s3D+vWrcPFixfh7++vfF26dAkTJkwQ0VLjQcr+IkVIL80gvRhazXns0qULJk+ejA0bNqhsz83NRTDfeZyolAULFohtgqQgPQQGvENa8EjZL3r37q3yvlWrVhgyZEiZYuAXL16ssfX0pIaU/UWKqKuXTMbqI/LtAR0dWS1FY4P8i6FV5rFFixYAABMToeNFZGQktmzZUu4iGqJ8Nm3aJLYJkoL0EAgIIi14DMkvrly5Um4Xmd69e+Pzzz8XwSLjw5D8RQqoo5enJ+vW4u4OPH/OfnbqxLqqACywXL4cmDiR/ZTJqtdmMSH/YmjVnvDOnTvYunUr0tPT8c477yAsLAzHjx9H3bp14evri3fffbc6bNUJhtpyi9ANhtKesDyMtT2hLqjO+750kfAOHTqUOYYvEv7kyROdXrs6oWclAQht/hwdgd9/F9r8LVzIgkonJ2DlSqEt3507QFaW4bXlIxjV2p7Q3t4eGzduRI8ePRAWFobCwkIsXboUDx48kHTgKDWk0pBeKpAeAhcDSAseqfsFFQmXFlL3F6lRmV4eHiww5PtDA+ynqytQvz7w448ssHz6FPD3Zz+nT2d9nv/9Vw9fQM+QfzG0yjwaMlL6azopKQmvv/66qDZICX3oYSiZx+ycJDS0VNXCWDOPuvALfdz3hYWFNapIuJSelZpAz1XNqEyviRPZULW/f9l9bdoASUks01i3rrA9P5/1kZ4zp+a166vp/lWtmUcA2LZtG7p164YGDRrgtddew5QpUxAbG6vt6YwSykSoQnoI/HOftOAxFL+orEg41YfTD4biL1KhMr3s7NhQdH6+6vb8fCAxEXj9ddXAEWCZye7d2eKamgb5F0Or1dYrV67EunXrMGjQIEyZMgWWlpaQyWQYOXIkTp8+jfbGuARLC7p37y62CZKC9BBoYdtdbBMkg5T9Qt12rHK5HL///ju2bNlSvQYRkvYXKVKZXo6OgLMzm+PID13zcx6Li4HsbPaeH9IG2PuICJZ5FBtdrxIn/2JoFTzu3LkTX3/9NbZt26ay/fvvv8fq1auxc+dOnRhX00lLSxPbBElBegi8yCMteKTsFwMHDlRrEQzHcTAxMaHgUQ9I2V+kSGV6tW/PFr/MnAkcP84WxUREsKBx3Tq2WKa8wDI7GxC77LOnJzBrlrCY58IFFghXZTEP+RdDq+DR2toa48ePL7O9efPmKCoqqrJRxkJ+6XEAI4f0ECgqIi14pOwX8+bNg6mpKXr27AkzM7MKjysuLsauXbv0aJnxImV/kSLq6DVtGtC/P7B7N8vgzZnDAsN27diwdXmB5a5dbL9YyGQscCxvlfjMmez7aGMf+RdDq+Bx9+7dOHXqFIYMGaKyPS0tDXfv3tWJYcYADe+rQnoIWDclLXik7BezZs2CXC5Hs2bNXnlcVFQUXFxc9GSVcSNlf5Ei6urVrl35i19eFViKSclV4vycTH6V+LFjzF5tFvOQfzHUCh7t7e2Rk5Ojsi0zMxN//fWXyrbc3FxMnjxZd9bVcC5fvowuXbqIbYZkID0E/o29DNvXSAtA2n7RpEmTMttevHiBjIwMKBQK5bb4+Hhs2rQJe/bs0cl109PT0bFjRxw+fBiDBw8GAGRkZGDBggVo1qwZkpKSsGbNmjI1J93c3BAaGgpTU1P0798fM2fO1Ik9UkLK/iJFdKFXRYGlmMTFsUyorhfzkH8x1Aoe+/fvj+TkZHTq1OmVQzMAMH/+fJ0YZgx8+eWXYpsgKUgPgV7dSQseQ/KLrVu3YtGiRSivApqVlZXOrrN06VKkpKQo33MchzFjxuDLL7/E7NmzER4ejmHDhiE6OhqWlpYAAHd3d3h7eyMoKAgKhQK9evWCtbU1xo4dqzO7pIAh+YsUqKl62dmxOY66XsxTU/XSFLWCx/nz56NRo0bKtoSvoqCgoMpGGQtubm5YuXKl2GZIBtJD4NpNNwwbTFoAhuUXHh4e2L59O1577TVcuHABn332GTiOg5eXF5YvX66Ta1y9elUlqwkAR48eRUhICC5evAgA6NmzJywsLLBlyxb89NNPyM/Px4oVK7D+f+khU1NTTJgwAUuWLMFHH32k0mrW0DEkf5ECNVWvV60Sr8pinpqql6aoVeexc+fOagWOHMdR30cNIAdUhfQQoMBRwJD8YuTIkZg1axY++ugjNGrUCAMHDsTgwYOxZMkSnXSmePnyJX777TcsW7ZMZfvRo0fRsWNHWJRIsTg4OODQoUMAgICAAKSmpqJnz54q+x8+fIiwsLAq2yUlDMlfpEBN1YtfJe7pCbRsCQwZwgqXe3pWbTFPTdVLU7QqEu7n54euXbuiTp06MDMzU75q1aqF1atX69rGGgu1OVKF9BCg9oQChuQXcXFx8PPzQ0ZGBsaMGYP/+7//Q35+PoKCgnRSXHjDhg1YtGgR6tSpo7I9JCQETZs2VdlmY2ODu3fvorCwECEhIQCgcoyNjQ0A4Pbt26+8ZlFREcLDwyt9JSYmVvn76QJD8hcpUJP1mjYNuHcPmD0beO01NlR9717Vem4bql6JiYlq3cfqVszRKnicOnUq2rRpAzc3N3h4eChfu3btwqBBg7Q5pVHyzTffiG2CpCA9BPq/Q1rwGJJfODo6YuzYsfj+++/Rt29fFBQUoH79+pg/f36Vn40ymQxJSUnlnic5ObnMnEpLS0soFAqkp6cjOTkZgOq8S34uZGpq6iuvm5ycDAcHh0pfixYtQkxMDFxdXZGdna38Jevk5IT09HRs27YNkZGROHnyJM6cOYPw8HDs2LEDKSkpKsfm5eXBxcUF9+/fx+HDh+Hn54fr16/Dy8sLT548UTlWLpdj/fr1ePz4Mfbt24dr166he/fu8Pb2hkwmg7OzMwoKClQ+k5SUhJ07dyI0NBS+vr7w8fFBdHQ03NzckJWVpXJsZmYmtm7diqioKJw4cQJnz55FWFgY3N3d8fz5c5Vj8/Pz4eLiAplMhkOHDsHf3x9BQUHYu3cv4uPjsXbtWigUCjg5OUGhUGDt2rWIj4/H3r17ERQUBH9/fxw6dAgymQwuLi7Iz89XOf/z58/h7u6OsLAwnD17FidOnEBUVBS2bt2KzMxMlWOzsrLg5uaG6Oho+Pj4wNfXF6Ghodi5cyeSkpJUjp05cyacnZ0hk8ng7e2NgIAAXLt2Dfv27cPjx4+xfv16yOVylc88efIEXl5euH79Ovz8/HD48GHcv38fLi4uyMvLUzk2JSUFO3bsQHh4OM6cOYOTJ08iMjIS27ZtQ3p6usqx2dnZcHV1RUxMDI4fP47z588jNDQUu3fvRkJCgsqxhYWF2LhxIx4+fIiDBw8iICAAV69exf79+xEXF4dff/0VxcXF8PZ2wvr1wNtvO2H+/Ke4etUTN2/exMWLF3HkyBHcu3cPmzdvRm5ursr5U1NT8eeffyIiIgKnT5/GqVOnEBERAQsLC6Slpakcm5OTgy1btiAmJgbHjh3DhQsXEBwcDA8PjzJ2FxUVYcOGDXj06BEOHDiAwMBABAYG4sCBA3j06BE2bNiAoqIilc8kJCTAw8MDwcHBuHDhAo4dO4aYmBhs2bIFOTk5KsempaVh+/btiIiIwKlTp3D69GlERERg1qxZat3H/LOiMrTqbd2yZUtERkaWOwH89u3b6NGjh6an1BtS6te6detWg/rFWN3oQw9D6W19NXgrBpQKII21t7Uu/EKf931BQQHMzc2ViwsvXbqEwsJCjBgxArVqaVUdDQAwceJEbNu2DVZWVoiLi0Pbtm1x+fJlDB48GA0aNMDHH3+M/fv3K49fsWIF1q1bh5SUFPz888/Ytm0bioqKlDbIZDJ06NABzs7O+P7778tcj9fMxsYG586dq9Q+W1tb2Nraav39dAU9VzWD9NIMQ9UrMTFRrdGBUaNGITk5udJnpVZPsjVr1uDatWv46KOPyuzLy8vT5pRGCWVpVSE9BN60Iy14DM0v6paqDTJ06NAqn3PPnj344IMPKlyxbWtri6ysLJVtubm5MDMzg5WVlTKoy8rKUg5d5+bmAmBNH16Fubm5ylxJqWNo/iI2pJdmGKpe6v5xZ25urtb5tAoeJ02ahJkzZyIiIkJlu0KhwOnTp3Hr1i1tTmt0PHz4EF27dhXbDMlAegikpT9E89dIC4D8AgC8vLwQEBCAqVOnqmx/7733MGjQINjb25dpk5iUlAQHBweYmprC3t4eABuC5oPHpKQkAECfPn308A30B/mLZpBemkF6MbQKHj/99FOcPXsWNjY2Kqv7FAoFEhISdGZcTad27dpimyApSA8BMzPSgof8Ati5c6cyUwgACQkJ+OCDD7Bz504MHjwY0dHR+OKLL1BYWKhcTBMZGQlHR0cAwIgRI2BtbY2bN2+iU6dOyv2dO3dWvq8pkL9oBumlGaQXQ6vg8erVqzhz5gxGjRpVZt+2bduqbJSx8Nprr4ltgqQgPQQsG5AWPOQXQLtSdUUaN26s3N6uXTu0bdsWXbp0wZkzZzBu3DiEhISgsLAQ8+bNA8CGon788Uf4+Phg+vTp/1tI4I0NGzbo+6tUO+QvmkF6aQbpxdBqtfWYMWMqbM8zceLEKhlUGenp6bCxsUFAQIByW0ZGBqZMmYJFixbhiy++wIMHD6rVBl1R0+qrVRXSQ+BpAmnBQ35ROWZmZjh58iQOHz6MpUuXws3NDX5+fqhfv77ymEWLFsHBwQFz5szBzJkzsWzZMnz44YciWl09kL9oBumlGaQXQ6vM49atW3Hw4EF8/fXXKts5jsOOHTt01kmhPLRpyyVValpbsKpCegh06Uha8BiSX5w9exYAW6ncrVs3eHh4wNXVFR06dMDWrVuVtRWrip2dXZkWiM2bN4e3t/crP2cMdXgNyV+kgLHoJZMBHh6sp7WdHetA07695ucxFr0qQ6vMY8eOHfHNN9+oFAjni4RXZ/X1V7Xl4ieSl2zLJXV27twptgmSgvQQuHmLtOAxJL8YN24cHj58CDs7O1y5cgUzZ86EtbU13n333Wr9o5oQMCR/kQLGoJenJ9CpE+DuDjx/zn526gR4eWl+LmPQSx20qvO4YsUKZGVloUePHip1y4qLi/HXX3/Bz89Pp0YCrC3X559/jl9//RUdO3ZU1jf7/PPPcffuXURGRiqPnTx5Mu7cuYPo6Ogy55FSnUdC/xhKncfyMNY6j7pAX/f97Nmz4e7uDgD4z3/+g+fPn+Off/5B3bp18dNPP+GXX36ptmvrGnpWEjUBmYwFio6OwO+/q/a49vRkHWe0bVVYE1H3vtdq2JqfhF2633VeXl61lX14VVsuOzs7lW0l23KVPp6Hb7lVGdVZ+NbJyYn6ZJaA9BC4GOBE/a3/x6v8Qt3Ct+q23KoqfB1Gb29v3Lx5E97e3sq6j8HBwXqxwdih54hm1HS9PDyARo0AV1eAL8FqYcHeHzsG7N4NrF+v/vlqul7qotWwdYsWLcoEjgAL5O7cuVNlo0pTlbZcFSGFllvvvvuu2i23AgICanzLrbfffltnLbcKCgrKbbl1K2If0jMf41LgeigUcmUP6YsBTsjIeoKQ216Ijb+OBw/9EBF9GMmp9xEQ5IKXL/NUjs19kYLroTvwNCEcMffPIPreSSQkReJa8Da8yEtXObagIBuBN12RlByDyJjjuCc7j/hnobgZthtZ2QkqxxYXF8L/6kZ06fQJwiMP4t/YADyKu4pbd1RbbpX8rk+fPoWnZ9Vabm3fvl2yLbeKior01nKrqrzxxhvo06cPvvzyS4wbNw4TJkyATCbDrFmzqmVEhijLkiVLxDbBoKjpesXFAfb2QuDIY2EBdO/O9mtCTddLXbQatjY1NYWJSflDaL1798bNmzerbFhJqtKWq1mzZirnklLLLRcXF3LEEuhDD0MZtg4IcsHgd1W1MNZh61f5ha5bbumCZ8+eITk5WdmmNSYmBjk5OQCAd955p1qvrUsMddianquaUdP1Wr6czXF8+pQFjDz5+UCLFsCcOZplHmu6XtU6bD106FBMnDgRpqZC4lIul+PEiRP49NNPtTllhVS1LVdFSKHlVnntHY0Z0kPg7Y6kBc+r/ELXLbd0QemRmc6dOwNgJcWI6oeeI5pR0/VydAScndkcR1dX1TmP2dnAjBmana+m66UuWgWPLi4u5bbnsbKyQmxsbJWNKklV23JJmfDwcLTXplZADYX0EHiaEA7rpqQFIG2/SEhIQOPGjVGvXj0AQHx8fLnHyeVyuLq6YvPmzfo0zyiRsr9IkZquV/v2wK5dwMyZwPHjbAg7IoIFjrt2ab5YpqbrpS5aBY8V9XVs3bo1ZsyYge+++65KRpWkqm25pIy1tbXYJkgK0kOgQX3SgkfKftG1a1eMGjVKOW1m8ODBePz4cZnjOI6DiYkJBY96QMr+IkWMQa9p04D+/dnimLg4NlQ9Y4Z2q6yNQS910Cp4LC8wy8/PR2BgIJo3b15lo0pS1bZcUqaileDGCukhUMuMtOCRsl/4+vqqDJvPmzcPcrkcvXv3hpmZmXJ7cXExdu3aJYaJRoeU/UWKGIte7dppNrexIoxFr8rQKng8cuQIevbsqTIsXLt2bYwdOxZLly7VmXHqwLflWrx4MW7evInExMQybbmkysOHD/Huu++KbYZkID0EUjMeom0b0gKQtl/07t1b5f3MmTNRXFxcZqEeALz11lv6MsuokbK/SBHSSzNIL4ZawaOfnx/ef/995fstW7ZghqazTHWEtm25pMjgwYPFNkFSkB4C7ewGi22CZDAkv7h+/TqAitsTEtWPIfmLFCC9NIP0Yqi1omTTpk24cOGCsnZbu3btlP8u70Wox759+8Q2QVKQHgK37pAWPIbkF9SeUHwMyV+kAOmlGaQXQ606j+3atcNnn32m7JRQmnv37uHw4cMwNzfHhg0b8O233+rcUF0hpdplCoVC8ivC9Yk+9DCUOo/laWGsdR514RfUnlBzpPSs1AR6rmoG6aUZNV0vde97tRT45ZdfsH79eqxevbrMq02bNjh16hRatmyJgIAASQeOUmPdunVimyApSA8Bv0DSgseQ/KJ0e8L169dTe0I9Y0j+IgVIL80gvRhqZR75MhMlefHiBb7++mscOHAAI0eOxL59+15ZlFsqSOmv6Zr+F4ymUOZRgDKPAoaUeXR3d8euXbsQERGBMWPG4NixY5DJZNi4cSM8PDwgl8ur7dq6RkrPSk2g56pmkF6aUdP10mnmsXTgGBERgZ49e+LgwYNwcnLCmTNnDCJwlBrrdVE3oAZBegj4XSUteAzJL2bPng0fHx8EBwfj2LFjAFhv7pkzZyoX0xDViyH5ixQgvTSD9GJoXKrHzc0NS5cuhZWVFfz8/DBw4MDqsMsoKN01x9ghPQR62ZMWPIbmFxkZGdizZw9WrVqFOnXq4N1338WMGTPQsGFDsU0zCgzNX8SG9NIM0ouhdu41IyMDH3/8Mb799lu8++67uH37drmBY0pKik4NrMkEBASIbYKkID0E/o0LENsEyWBIfrFnzx706NEDW7duRVRUFOLj47F582Z07twZ9+7dE9s8o8CQ/EUKkF6aQXox1Aoeg4KC0L17d5w5cwarVq3CpUuXYGNjU+6x/FANUTlvvvmm2CZICtJDoFkT0oLHkPzip59+Qv/+/XH37l3ExcUhJCQE8fHxOHjwIFasWCG2eUaBIfmLFCC9NIP0Yqg1bD148GDI5XI0a9YMV65cwZAhQ8o9Li8vD3fu3MHcuXN1amRNpbCwUGwTJAXpIVAsJy14DMkvFAoFNm/ejPbt26tsHzBgAM6dOyeSVcaFIfmLFCC9NIP0YqgVPDZv3hxXrlyBnZ3dK4/Lz8+nQrgaQEP8qpAeArkvSAseQ/KLLVu24Nq1a+jevXuZffn5+SrvT58+jQ8//FBPlhkPhuQvUoD00gzSi6FW8Lh8+fJKA0cAsLCwwMyZM6tqk9HQs2dPsU2QFKSHQMvmpAWPIfnFxYsXERERgaCgIFhYWAAA5HI5/vnnHwCAo6MjALYC29/fH8+ePRPN1pqKIfmLFCC9NIP0Yqg153Hy5Mlqn7BLly5aG2NsnDx5UmwTJAXpIfDPPdKCx5D8Ijs7G8nJyUhMTERsbCxiY2MRHx8PS0tLWFpaKrfFxcUhNzdXbHNrJIbkL1KA9NIM0ouhVpHwmoSUCt/m5+crsxOEfvQwlCLhL4vyUdtcVQtjLRKuC7/Q131/7do1NGnSBG+//Xalx7q7u2P27NnVZktVkdKzUhPouaoZxqiXTAZ4eABxcYCdHeDoCJSaplwhNV0vnRYJJ6oHFxcXsU2QFKSHwJUg0oLHkPyif//+5QaOUVFRUCgUKttoik/1IDV/kcmA5cuBiRPZT5lMbItUkZpe1Y2nJ9CpE+DuDjx/zn526gR4ean3eWPTqyIo80gYFYaSeSwPY8086gJ93vcvXrxARkaGSrAYFRWFw4cPY8+ePdV6bV1Cz8qq4+kJzJoFNGoE2NsDd+4AWVnArl3AtGliW2d8yGQsUHR0BH7/HbCwAPLzgYUL2f/VvXtAu3ZiWykulHk0AJycnMQ2QVKQHgIXA0gLHkPyi61bt6JRo0Zo06YN2rZtq3x99NFHOHv2rNjmGQVS8ReZjAWOjo7A06eAvz/7OX06MHMm8O+/YlvIkIpe+sDDgwXyrq4scATYT1dXoGFDYPfuys9hTHq9CgoeRWTWrFlimyApSA+Bvr1ICx5D8gsPDw9s374dPj4++Prrr+Hv7w8/Pz9MnToV165dE9s8o0Aq/qKLQEUfSEUvfRAXxzLAdeuqbrewALp3Z/srw5j0ehUUPIrI33//LbYJkoL0EIi+R1rwGJJfjBw5ErNmzcJHH32ERo0aYeDAgRg8eDCWLFlCGQs9IRV/0UWgog+kopc+sLNjUwdKlVxFfj4QEcH2V4Yx6fUqKHgUEQcHB7FNkBSkh0DL5qQFjyH5RVxcHPz8/JCRkYExY8bg//7v/5Cfn4+goCCcOnVKbPOMAqn4iy4CFX0gFb30gaMjm3O6cKHw/8LPeczOBmbMqPwcxqTXq6DgUUSeP38utgmSgvQQyMklLXgMyS8cHR0xduxYfP/99+jbty8KCgpQv359zJ8/H4MGDRLbPKNAKv6ii0BFH0hFL33Qvj1brOTpCbRsCQwZArRowd7v2qXeYhlj0utVqNVhhqgeXr58KbYJkoL0EJDLSQseQ/KLoUOHIjU1Febm5gCA33//HR999BEKCgowYsQIka0zDqTiL3ygMnMmcPw4G8KOiGCBo7qBij6Qil76Yto0oH9/Nuc0Lg6YM4cF8ur+fxibXhVBwaOIvPnmm2KbIClID4GmVqQFj6H5Re3atXHgwAGEhobC3Nwc77//Pj744AOxzTIapOQvVQ1U9IGU9NIX7doB69dr91lj1Ks8aNhaRK5cuSK2CZKC9BB4GEda8BiSXyQmJsLe3h5fffUV/vzzT3h7e2P8+PF49913kZWVJbZ5RoHU/IUPVA4eZD+lFDgC0tNL6pBeDAoeRWTKlClimyApSA+BXt1ICx5D8ouFCxeiY8eOCA8PR2FhIZ49e4b8/HwsW7YMK1asENs8o8CQ/EUKkF6aQXoxKHgUka1bt4ptgqQgPQSuBZMWPIbkFwUFBThy5Ai6d+8OExOhI9BHH32k8p6oPgzJX6SA1PWSWntHqeulLyh4FJGVK1eKbYKkID0Ehg0mLXgMyS86depU7vbCwkKEh4fr2RrjxJD8RQpIWa+q9qGuDqSslz6h4FFEqGiwKqSHALUnFDAkv6hVqxa2b9+O58+fo6CgAI8fP8aePXvQr18/tG/fXmzzjAJD8hcpIFW9pNreUap66RsTjuM4sY3QJ+o2/dYHWVlZaNSokag2SAl96LH5F8Nw9/yCLFjUVdXiu5+Mc9hTF36hr/v+5cuX+Oqrr3Do0CHlMDXHcRg2bBgOHz5sUPe7lJ6VmkDPVc2Qql7Ll7NM47Nnql168vNZbcY5c7RfMV0VpKqXrlD3vqfMo4js3btXbBMkBekhcCuCtOAxJL+oXbs2Dh48iMjISGzZsgWbN2/G9evXcf78+Rr9C0dKGJK/SAGp6iXV9o5S1UvfUJ1HEXnvvffENkFSkB4C7dqSFjyG5hfR0dHYtWsXHj58iDp16kChUODtt9+GpaWl2KYZBYbmL2IjVb3s7IALF1im0cJC2M63d5wzRxy7pKqXvqHMo4jIxF42JjFID4GUNNKCx5D8Ys+ePejRowe2bt2KqKgoxMfH47fffkOnTp1w9+5dsc0zCgzJX6SAVPWSantHqeqlbyjzKCIWJf+cIkiPEpibkxY8huQXP/30E/r37w93d3eVBTJXr17FypUrcezYMRGtMw7S05ti+XI2rGlnx4IQWqtUMVK9v6Ta3lGqeukbyjyKSNOmTcU2QVKQHgL165EWPIbkFwqFAps3by6zsnrAgAF46623RLLKePD0BObMGSCp0i5SR8r317RpwL17wOzZwGuvsaHqe/fYdrGQsl76hIJHEYmIiBDbBElBegg8S4wQ2wTJYEh+sWXLFly7dq3cffn82Nv/OH36tD5MMhr40i7/+c89ZWmXgACgSxeWfZw7V/wC01JE6veX1No7Sl0vfWEQw9ZJSUmYP38+Ll26BGtrayxZsgRff/21cv/jx4+xdOlSNG/eHCkpKdi0aRNef/11ES1WjzFjxohtgqQgPQTefou04DEkv7h48SIiIiIQFBSkHN6Sy+X4559/AACOjo4AgKKiIvj7++PZs2ei2VrT8PAAGjUC9u5tAgsLloWcNYttMzMD9uxhw527dombuZIahnR/SQHSi2EQmUdHR0d07doVf/zxB+zs7DBv3jzs27cPAJCXl4f3338fM2bMwObNmzFu3DiMGTMGcrlcZKsrZ9euXWKbIClID4HgMNKCx5D8Ijs7G8nJyUhMTERsbCxiY2MRHx8PS0tLWFpaKrfFxcUhNzdXbHNrFHxpl/37d5UpMD1gAPDhh1UvMC21Vnm6wJDuLylAejEkXyT8n3/+wd27d/Hpp58CAIqLi9GlSxfY2NggMDAQzs7O+P3335XFLOVyORo1aoTt27dj6tSpZc5nqIVvCd1gKEXCy8NYi4TrAn3d99euXUOTJk3w9ttvV3qsu7s7Zs+eXW22VBVDe1byRaWfPgXWrBEKTHOcUFR61SrtC0yXzGTa2wN37rDVwJTJJGoSNaZIuJWVFcaPH698X6tWLYwaNQrp6ekAgKNHj6Jnz57K/WZmZrC3t8ehQ4f0bqumUJsjVUgPAWpPKGBIftG/f/8KA8cjR46ovJ85c6Y+TDIa+NIuAwbcxsOHLMDjONXSLtoWmJZqqzxdYEj3lxQgvRiSDx5tbW2Vbb54iouL0bdvX8jlcoSFhZVZ/WRjY4Pbt2/r00yt+P7778U2QVKQHgKD3yUteGqCX5w7dw4//PCDyjZTU8k/fg0KvrRLRER3nDoFXL0KNG/OMoZ8aRe+wLSdnWbn5udTuroKBastLNj7hg2B3bt1/W30R024v/QJ6cUwiAUzpbl8+TIOHz6M9PR0yOVyWFlZqey3tLREamrqK89RVFSE8PDwSq9la2sLW1vbKtlbEW5ubmV+oRgzpIfA1WA3DOlPWgCv9ovExEQkJiZWeo6ioiJdm1UpKSkp8PLywu7du/HgwYMyfwQTumfaNODu3V3IzJyFnTuBNm2A/fvZiuuqFJiWaqs8XUDPXc0gvRgG96evj48Phg4dis6dOysfxqWLdsrlcpibm7/yPMnJyXBwcKj0tWjRIsTExMDV1RXZ2dnKlLWTkxPS09Oxbds2REZG4uTJkzhz5gzCw8OxY8cOpKSkqBybl5cHFxcX3L9/H4cPH4afnx9at24NLy8vPHnyROVYuVyO9evX4/Hjx9i3bx+uXbuGgIAAeHt7QyaTwdnZGQUFBSqfSUpKws6dOxEaGgpfX1/4+PggOjoabm5uyMrKUjk2MzNT2QHjxIkTOHv2LMLCwuDu7o7nz5+rHJufnw8XFxfIZDIcOnQI/v7+CAoKwt69exEfH4+1a9dCoVDAyckJCoUCa9euRXx8PPbu3YugoCD4+/vj0KFDkMlkcHFxQX5+vsr5nz9/Dnd3d4SFhaFx48Y4ceIEoqKisHXrVmRmZqocm5WVBTc3N0RHR8PHxwe+vr4IDQ3Fzp07kZSUpHJsQUEBnJ2dIZPJ4O3tjYCAAFy7dg23IvYhPfMxLgWuh0IhVw4PXwxwQkbWE4Tc9kJs/HU8eOiHiOjDSE69j4AgF7x8madybO6LFFwP3YGnCeGIuX8G0fdOIiEpEteCt+FFXrrKsQUF2Qi86Yqk5BhExhzHPdl5xD8Lxc2w3cjKTlA5tri4EP5XN6KlbU+ERx7Ev7EBeBR3Fbfu7EdcXBx+/fVXFBcXq3zXp0+fwtPTEzdv3sTFixdx5MgR3Lt3D5s3b0Zubq7Ksampqfjzzz8RERGB06dP49SpU4iIiMD27duRlpamcmxOTg62bNmCmJgYHDt2DBcuXEBwcDA8PDyQkJCgcmxRURE2bNiAR48e4cCBAwgMDERgYCAOHDiAR48eYcOGDSgqKlL5TEJCAjw8PBAcHIwLFy7g2LFjiImJwZYtW5CTk6M8NiEhAWlpadi+fTsiIiJw6tQpnD59GhEREZg1a5Za93FycnJljxad4evri/Hjx6Nly5b4v//7P9ja2sLZ2ZnamumJmTMHY8cOli2MjgYGDQKGDGFzHUtmITXBzo7NcSxVbUnrTKaU+Pjjj8U2waAgvRiSXzBTkoyMDMycORMHDx5E7dq1wXEc6tati9mzZ8PNzU153NixYxEZGYnY2Ngy5+Ang9rY2ODcuXOVXrM6M4/e3t744osvquXchog+9DCUBTO3o7zRo6uqFsa6YOZVfqFu5nHUqFFITk6utsUfT548we7du+Hp6YmnT5/Czs4OTZo0gY+PD1q1agUAiImJQefOnXV+7erC0BbM8JT0l3//ZUPKfLeZGTO0qxMok7Fi49OnC0PXfCbT05MVrha7/qC20O8hzajpeql73xvMsLVcLsfSpUvh6uqK2rVrAwBMTEzQtWvXMlmFpKQk9OnT55XnMzc3V1loIwaGUItSn5AeApYNSAueV/mFun/cVTYSoS1HjhzB7t274efnBwD48MMP4e7ujhEjRmD69OnKwBGAQQWOhgzvLzIZyz6WbFOobYAn1VZ5uoCeu5pBejEMZth6+fLlmDdvHlq0aKHclpycjClTpuDmzZvKbcXFxSqlfaRMrVoGE7vrBdJDwNSUtOCRsl9wHIeioiJYWlrizJkz8PHxwYgRIwCA5jiKRK1ateDpyTKFumxTKMVWebpAyveXFCG9GAYRPK5YsQIKhQLPnz+Hr68vTp8+jaVLl+LWrVuYMWMGOI5TLn45fvw4OnfurFLeR6qUN6xuzJAeAukZpAWPlP1iwoQJ8PPzQ3BwMC5duoTPPvsMR44cMYgmBTWVGzdSq62sjtRa5ekCKd9fUoT0Ykg+hN60aRPWrVsHAHBxcVFub9KkCdauXQtzc3OcP38eq1atgp2dHdLS0nDmzBmDKIMxcOBAsU2QFKSHwBt2pAWPIfhF+/btsXHjRhQVFeHYsWOYOnUq7t27h9jYWLRt2xYAcOPGDfTr109kS2s+sbHvKcvq8Kuj+bI6x46xOZCaFgivyRjC/SUlSC+G5COs77//HhzHlXmlp6cr5zF16tQJR44cgbOzMzw8PMrUfZQqf/31l9gmSArSQyA8krTgMSS/MDc3xxdffIG//voL3t7e+OOPPzBu3Dj89ttvWLZsWZXOnZSUhPHjx6NRo0Zo164dtm/frrL/8ePH+Pzzz/Hdd99hypQpSEpKUtnPcRxWrFiBWbNmYfLkyTh16lSV7JEqQUHPamxZnerAkO4vKUB6MSQfPNZkli5dKrYJkoL0EBjSn7TgMVS/6NChA5ydnXHw4EHUr18fd+/erdL5HB0d0bVrV/zxxx+ws7PDvHnzsG/fPgBAXl4e3n//fcyYMQObN2/GuHHjMGbMGJXh8xUrViA2NhY7d+7Ezp07MX/+fNy6datKNkmRkSM71tiyOtWBod5fYkF6MSh4FJH1NHaiAukh4BdIWvAYul/UqVMHc+bMwdatW7U+xz///ANHR0f8/PPPmDx5Mnx9ffHWW29h586dAIBt27ahoKAAw4cPB8DKld29e1eZJXn27BlcXFzg6OgIAKhXrx5Gjx5d5WxodSKTsX7VEyeynzKZep97+XI7srJYGR0+gKxKgfCajqHfX/qG9GJQ8CgiK1euFNsESUF6CAwbTFrw1BS/+Pzzz7X+rJWVlcoiwFq1amHUqFFIT08HABw9elSl9JiZmRns7e1x6NAhAMDJkyfx8uVLlWMcHBxw+fJlvRZQV5eqrJbevHk+du1i52jZsuoFwms6NeX+0hekF4OCRxGhBuuqkB4CfNcZgvwCYPUsS5f+KS4uRt++fSGXyxEWFlZmrreNjQ1u374NAAgJCYGpqSmaNGmisp/jONy5c+eV1+ZbuVb2UqdYuzrIZKjSamknJyedl9XRNgtqCND9pRmGqldiYqJa97G6rVwpeBSRr776SmwTJAXpIdCrB2nBQ35RPpcvX8bixYuRnp4OuVwOKysrlf2WlpZITU0FwGriNm7cWCUAtbS0BADlMRWh71auO3YUoU6dfHzzzQOcOsVaud6+fR29e+9DgwZyODoGKY8tr5Vrhw4d4O3tDY6TwcrKGZ6eBahf3wnt2mnXynXKFD906sRh69aXiIlJxfbtxejYUYHff1c9Vp+tXM+ePauzVq6ff/55ua1c9+3bh8ePH2P9+vWQy+Uqn3ny5Am8vLxw/fp1+Pn54fDhw7h//z5cXFyQl5encmxKSgp27NiB8PBwnDlzBidPnkRkZCS2bduG9PR0lWOzs7Ph6uqKmJgYHD9+HOfPn0doaCh2795dpiVqYWEhNm7ciIcPH+LgwYMICAjA1atXsX9/9bZyNTU1lWwrVycnJ721cjWo9oS6QEott7y8vDDN0CvM6hB96GEo7QlDbnuhT49pKtuMtT2hLvxCSve9LvDx8cGVK1ewZcsWpKamwtraGitWrFDJikyePBl///03cnNz8eGHHyIiIkLlu1+8eBHDhw/HkSNHym2qIFYr14kT2VC1v3/ZfUOGsEziwYMVf16XzxG+LaGjI/D77zWrLSEP/R7SDEPVS9etXCVf57Em06FDB7FNkBSkh4B1U9KCh/xClYyMDOzfvx8H/xdBNW3aFLVr10ZWVpbKcbm5ubC2tgbAArsrV66U2Q9AeUxF6LuVq50dcOECC9IsLITt/GrpOXNe/Xld+ouHB2p8zUi6vzTDUPXSdStXGrYWkfzStSSMHNJDoKiItOAhvxCQy+VYunQpXF1dUbt2bQCsDWLXrl3LDDclJSWhT58+AAB7e3vk5uYiLy9PZX+tWrX0Ghiqg6MjqrRaWpf+EheHGl8zku4vzSC9GBQ8ikhaWprYJkgK0kMgL5+04CG/EFi+fDnmzZuHFi1aKLclJydjypQpuHnzpnJbcXEx7t69qxyO/vzzz2Fubo7g4GDlMZGRkRg+fLhy7qNUaN8eVVotrUt/sbNDja8ZWV33V01dZETPIwYFjyJib28vtgmSgvQQaP46acFDfsFYsWIFFAoFnj9/Dl9fX5w+fRpLly7FrVu3MGPGDHAch/DwcADA8ePH0blzZ2V5H2tra8ybNw8+Pj4AgJycHJw7dw6//PKLaN/nVVRltbQu/aWqWVBDoDrur6qUWpI69Dxi0JxHETl9+jTeeustsc2QDKSHQMz907BpRloA5BcAsGnTJqxbtw4A4OLiotzepEkTrF27Fubm5jh//jxWrVoFOzs7pKWl4cyZMzA1FfIDzs7OWLx4MRYuXIiMjAzs3r1bckPWJWnXTrv5hLr0Fz4LOnMmcPw4G8KOiGCBY02pGanr+6tkqaXSi4xmzgT69zds3eh5xKDV1iKSl5eHevXqiWqDlNCHHoay2vrlyzzUrq2qhbGuttaFX0jpvjcUDFWz6niO/PsvWxwTF8eGqmfMMOwAqCS61mv5cpZpfPZMda5ofj6bfjBnjmEvMqrpv7fVve9p2FpEfvvtN7FNkBSkh8CV66QFD/kFoQnV4S98FvTgQfazpgSOgO71qumLjOh5xKDMI2FUGErmsTyMNfOoC+i+1xzSjNAGPvP49GnZUks1IfNY06HMowFgqG2OqgvSQ4DaEwqQXxCaQP6iGbrWq6YvMiL/YtCCGRGZU1m1WyOD9BDo15u04CG/IDSB/EUzdK1XTV9kRP7FoMyjiBw/flxsEyQF6SEQGUNa8JBfEJpA/qIZ1aFXVUotSR3yLwZlHkWkd+/eYpsgKUgPgdYtSAse8gtCE8hfNKO69NK21JLUIf9iUOZRRNRpUm5MkB4C2TmkBQ/5BaEJ5C+aQXppBunFoOBRRORyudgmSArSQ0DBkRY85BeEJpC/aAbppRmkF4OCRxGxqwmNUXUI6SFg1dhObBMkA/kFoQnkL5pBemkG6cWg4FFErl69KrYJkoL0EHj0mLTgIb8gNIH8RTNIL80gvRgUPIrIxIkTxTZBUpAeAj26khY85BeEJpC/aAbppRmkF4OCRxH5448/xDZBUpAeAtdDSAse8gtCE8hfNIP00gzSi0HtCQmjgtoTGid032uOuprJZICHB+tZbGfHOoy0b683MwmC0CHUntAAoDZHqpAeAtSeUID8Qrp4egKdOrFexs+fs5+dOgFeXuLZRP6iGaSXZpBeDAoeRWThwoVimyApSA+BAX1JCx7yC2kikwGzZrFM49OngL8/+zl9OmtN9++/4thF/qIZpJdmkF4MCh5FxEvMP88lCOkhEBLhJbYJkoH8Qpp4eACNGgGuroCFBdtmYcHeN2wI7N4tjl3kL5pBemkG6cWg9oQiMnTo0Gqdg2doc+SGDh0qtgmSocMbpAUP+YU0iYsD7O2BunVVt1tYAN27s/1iQP6iGaSXZpBeDMo8ikRiYiL++9//Uhu6/8HrQa2fWGvC85fJNwDyCyljZwfcuQPk56tuz88HIiLYfn1D/qIZpJdmkF4CFDyKRGJiIg4fPkwBwv/g9aCbkgWPd/45Qr4B8gsp4+gIZGUBCxcKAWR+PnufnQ3MmKF/m8hfNIP00gzSS4CGrdWgOoaWnyYYbsmY6saQy+lUJzTFgZAS7dsDu3axxTHHj7Mh7IgIFjju2gW0aye2hQRBVBeUeSQIgiC0Yto04N49YPZs4LXXgDlz2Ptp08S2jCCI6oQyjwRBEITWtGsHrF8vthUEQegTyjwSBEEQBEEQalOjMo/+/v74888/YWNjA3Nzczg7O6NWrRr1FTWC5sgRBEEQBKFrakzm8c6dO5g0aRL++OMPbN26FXK5HD/88IPYZhEEQRAEQdQoakzw+OOPP2Lo0KFo1qwZAGDSpElwc3NDnFiVagmCIAiCIGogNWJMNzs7GxcuXMCGDRuU27p37w6O43D06FF8//33IlpXM9H1kDhfuujATg4tm+v01ITIVMVXSvrFleZlz0PTJwiCIPSPCcdxBl9U78qVKxg8eDC8vLzw1VdfKbc3adIEo0ePxoEDB5TbateujaKiIpiamiqzlK/CzMwMeS90n6CVy4uQ+yIZDerbwMzMXOfnNzRIDwExtGhgWX3nzs3R/rOVaVGvvgJyubzS86SmpkKhUMDc3BwvX77U3iAjouSz0tbWVmxz1KKoqAjJycnKee/EqyG9NMMY9EpMTFTrWVkjMo/JyckAACsrK5XtlpaWSE1NVdnG/6JRKBTKz4lJ7gvxbZASpIeAPrXIytbbpbSiIi00tVudQJNglHxWPnv2TGRrNEMKz3ZDgvTSDGPQq7JnZY0IHk1M2NCVhYWFyna5XF7mr4O6deuioKAApqamZYLN8jAzM4OpaY2ZGkoQNQqFQr3MY3p6OhQKBerWrasHq2oG/LPSzMwMNjY2YptDEIQeSE5Ohlwur/RZWSOCR35IJSsrS2V7bm4urK2tVba9ePFCb3YRBEEYKvSsJAiiImpESq1Tp04wNzdXSSXn5eUhOzsbffr0EdEygiAIgiCImkWNCB6trKwwevRo3Lx5U7ktKioKtWvXxpgxY0S0jCAIgiAIomZRI1ZbA8CtW7fw8ccf48GDB6hXrx7mzZuHBg0aYOPGjWKbRhAEQRAEUWOoMcEjAJw4cQKHDh1Cs2bN0KhRI6xZs0bvi12SkpIwf/58XLp0CdbW1liyZAm+/vpr5f7Hjx9j6dKlaN68OVJSUrBp0ya8/vrryv0cx2HlypVITk5GXl4evvjiixqRPU1PT0fHjh1x+PBhDB48GACQkZGBBQsWoFmzZkhKSsKaNWvQoUMHlc+5ubkhNDQUpqam6N+/P2bOnCmC9brnwoUL8PX1Rfv27TFo0CB07tzZqPQoKirCmjVrwHEc6tati7i4OPz0009o06aN8hhj0oOonIKCAuzYsQMHDx5UGWUCjPe5+ipepRcAfPLJJzhx4oTy/Y0bN9C3b18AQGFhIb799lvUqlULqampWLRokXJfTYN+Z2sJR+iUUaNGcatXr+b279/Pvf/++xwAbu/evRzHcdyLFy+4N998kzt//jzHcRx37NgxrlevXlxxcbHy88uXL+cmTpyoPL5Vq1ZcaGio/r+IjpkxYwYHgLt8+TLHcRynUCi4d999l9uxYwfHcRwXFhbGtW7dmsvOzlZ+ZseOHdx//vMfjuM4Ti6Xcz169OBOnDihd9t1iUKh4BYvXszNmjWLKyoqUtluTHqsWrWK27hxo/L99evXuW7duinfG5sexKspKiriPDw8uM6dO3Nt2rRR2WfMz9WKeJVeHMdx9+7d4z777DNu8+bN3ObNmzl3d3eV/RMnTuSWL1/OcRzHJSQkcDY2Ntzjx4/1Ybreod/Z2kHBow6Jjo7mjhw5onxfVFTEvfXWW9yAAQM4juO4jRs3ci1atFDuLy4u5urXr6901KdPn3K1a9fmLl68qDxmzpw53JAhQ/T0DaqHwMBAbvr06SrB4+HDhzlzc3MuLy9Pedxbb73FrVmzhuM4jsvLy+OaNWvG7dy5U7l//fr13JtvvskpFAq92q9LfvzxR27IkCEqDx+OMz49unXrxh06dEj5Pj8/nwPApaamchxnfHoQ6rFs2bIywZCxPlfVoTy9OI7jvvnmG+758+flfiYkJIQDwMlkMuW2ESNGcI6OjtVlpmjQ72ztqRELZqSClZUVxo8fr3xfq1YtjBo1Cunp6QCAo0ePomfPnsr9ZmZmsLe3x6FDhwAAJ0+exMuXL1WOcXBwwOXLlw22KOnLly/x22+/YdmyZSrbjx49io4dO6rU5nRwcFBqERAQgNTU1DJaPHz4EGFhYfoxXscEBwfD2dkZnp6eMDMzU9lnbHo0a9YMLi4uyg4GQUFB6NKlC5o2bQrA+PQg1KO82nPG+FxVl/L0SkxMxO7duzFq1Cj89ttvKCwsVNl/9OhRWFpaol27dsptDg4OOHLkCBQKRbXbrE/od7b2UPCoQ2xtbZUFy3mKi4vRt29fyOVyhIWFKX858tjY2OD27dsAgJCQEJiamqJJkyYq+zmOw507d6r/C1QDGzZswKJFi1CnTh2V7SEhIeVqcffuXRQWFiIkJAQAVI7hCxXzehkav/zyC/r06QMvLy8MHToU7777Lvz9/QEYnx4rV65EWFgYhg0bhlu3bsHJyQk+Pj7K/camB6EdxvpcrQpRUVEYNWoUkpOTsWTJEvTt2xcpKSnK/RXdezk5OXj48KG+za1W6He29lDwWM1cvnwZixcvRnp6OuRy+StbKCYnJ6Nx48YqzmxpyZoOl26zaAjIZDIkJSVh0KBBZfYlJyeXq4VCoUB6enq5LScNWYsXL17g4sWLaN68Ob799lucO3cOLVq0wOjRoxEbG2t0erz33ns4cOAAbty4gX79+mHz5s0qmQ5j04PQDmN8rlaV4cOH49ixY4iPj4e7uztiYmIwY8YM5f6K7j3AOPQy5t/ZmkDBYzXi4+ODoUOHonPnzmq1UDQxMSl3PwCDbMK+atUq/PLLL+Xuq+y7lqeXIWvx6NEjvHz5Ep9//jkaNWoEc3NzrF27FoWFhXBzczM6PQAgISEBc+fORf369TF8+HBER0cr9xmjHoTmGONzVVeYmJhg1qxZcHNzw6lTp5T9y41ZL2P/na0JFDxWExkZGdi/f7+yzmTTpk1Ru3btV7ZQtLW1LXc/gDJtFqXOnj178MEHH1TYP7yi72pmZgYrK6tyW04aqhaAYHuDBg2U29q3b49WrVrhwYMHRqfHnj17EBQUBFdXVwQGBgIAxo4di6KiIgDG5x+Edhjbc7U6mDFjBmxsbPD48WMAxquXsf/O1hQKHqsBuVyOpUuXwtXVFbVr1wbA/kLp2rVrmUm0SUlJyhaK9vb2yM3NRV5ensr+WrVqqUzINQS8vLwwdepUmJiYwMTEBG3btgXAhisHDx4Me3v7crVwcHCAqakp7O3tAUDlmKSkJAAwyJaTLVu2BADlRGye1157DVZWVkanx88//4wvvvgCANCtWzecPHkScXFxyjmgxqYHoR3G9lytDszMzNCmTRvlM6qie+/1119H69atxTCx2qHf2ZpDwWM1sHz5csybNw8tWrRQbktOTsaUKVNUirUWFxfj7t27+PTTTwEAn3/+OczNzREcHKw8JjIyEsOHD1fOozAUdu7cidu3bytfZ86cUW7ftWsXpkyZgjt37qis9IuMjFRqMWLECFhbW6voFRkZic6dO6NTp076/TI6oFWrVujWrRtu3Lihsj09PR3vv/++0emRlZWlsoiqb9++6N69u3I1p7HpQWiPMT1Xq4OcnBy0atVKGRhOmTIFycnJiI2NVR4TGRmJcePGlVlcUlOg39laIHKpoBrHjz/+yC1ZsoQ7d+4cd+7cOe7UqVPcDz/8wJ05c4bLzs7mWrVqxYWFhXEcx3GHDh3i3nnnHU4ulys//+2333ILFizgOI7jsrOzuTZt2iiPN2RiY2NV6jwWFxdzDg4O3LFjxziO47jg4GCubdu2XG5urvIzmzdv5saMGcNxHKu/1b17d+7UqVN6t11XnDt3jmvWrBmXkpLCcRzHhYaGcm+//Tb38uVLo9Nj/vz5KnXjcnJyuF69enE5OTkcxxmnfxCV8+OPP6rU3eM4zqifq5VRnl5ff/01t3XrVq64uJjLzs7m5s6dq1LTkeM4buzYsZyLiwvHcRwXHx/P2drack+ePNGb3fqEfmdrR41qTyg2mzZtwg8//FBme5MmTfD8+XOYm5vj7t27WLVqFezs7JCWlgZnZ2eVUgBFRUVYvHgxTExMkJGRgWnTpuH999/X59eoFuLi4tC2bVtcvnxZ2Z4wISEBixcvRuvWrZGYmIg1a9Yoh7d5/vvf/yIhIQGFhYUYOXKkcqjTUDl8+DAOHTqE7t27Iz4+HqtXr1YOFxmTHgUFBViyZAmKiorQqVMnJCcnY/r06SrtB41JD6Jyjh07hp9//hkxMTFwcXHBpEmTlOWZjPW5+ioq0mvZsmX4448/YG1tjUGDBsHJyUkl4wawbOQ333yDZs2a4fnz51iyZAl69Ogh0jepPuh3tvZQ8EgQBEEQBEGoDc15JAiCIAiCINSGgkeCIAiCIAhCbSh4JAiCIAiCINSGgkeCIAiCIAhCbSh4JAiCIAiCINSGgkeCIAiCIAhCbSh4JAiCIAiCINSGgkeCIAiCIAhCbSh4JAiCIIyO69evY9KkSTAxMUHr1q0xevRovP322/joo49w+/btKp+/R48e2Lx5sw4sfTUFBQVo0aIFjh07ptPzPnv2DCtXrlR28dHn9ePj47F8+XJYW1vr5HynT5/GmDFjMHPmTJ2cj6DgkSBqJKtXr4adnR0GDhyItLQ0sc0hCMnxn//8BytXrgQArFq1CmfPnkVwcDCeP3+OgQMH4u7du1U6//Dhw/H222/rwtRXUqdOHYwcORJvvPGGTs9rYmKCnJwcpKSkqGzPyclBXFxcpdePiorS+trm5uYoKChAamqq1ucoSZ8+ffDPP/+guLhYJ+cjKHgkiBrHnTt3MHnyZMhkMpiYmGDfvn1im0QQkqRevXoq7xs0aIBVq1YhNzcXv//+e5XOvWHDBgwfPrxK51AHExMT7N69W+e9p5s3b45u3bqV2b5t2zaV4LG868fFxWHbtm1aX9vW1hZdu3bV+vOlsbGxQcuWLXV2PoKCR4Kocdjb26NDhw4wNzeHg4MD2rVrJ7ZJBGEw8PfLkydPRLZEfMzMzFTe+/n5YdWqVa/8TEZGBsaPH4+CgoIqXdvUVLfhia7PZ+yQmgRRQ8nJyYGZmRk+/PBDsU0hCIMhNjYWANCxY0fltqNHj2Lx4sUYMWIE3nnnHdy4cQMKhQInT57EiBEjsGbNGixZsgSNGjXC5cuXcfr0aeV2nkuXLmHixIlYvnw5evToATc3NwBAYmIifv75ZzRv3hzPnj3DwIED0ahRI0ydOhUvXrwAAMjlcixZsgSrVq3CmDFjYGJigtzcXBQVFeGvv/5Cv379sGfPHuW1nJycsGLFCkyaNAlmZmaIjo4u97sWFBRg7ty5WLZsGcaPH4+hQ4fi6dOn5R779OlT7NmzB0VFRfjtt98wf/78cq//559/IjExETdu3MDcuXMREhKCOXPmwMTEBAEBAQAAb29vNGrUCNOmTVOePy8vD9988w2++eYbTJo0Cd7e3mVs2LFjBxYvXowBAwbg/fffx7179yr77yyXxMREvPHGG/jwww/h7e2Np0+fYsWKFXjttdeQkZGByZMno2HDhhg9ejTy8/Oxe/dutGjRAra2trh48aJW16xxcARB1DgyMjK46dOnc2ZmZtzevXvFNocgJElsbCwHgNu5cyfHcRyXlZXFvfPOO1zjxo25J0+ecBzHcQEBAdzvv/+u/MyMGTO4pk2bcpmZmdyNGze4unXrcn379uVOnz7NOTo6ctHR0VxISAhXt25dbvXq1RzHcVxeXh5Xr1497vz58xzHcdyOHTs4U1NTLjs7m3v27Bm3YMECDgC3evVqLiQkhFu/fj0HgFuyZAnHcRz3119/cd99953Sho8//pjLycnh8vLyuIsXL3IAOE9PT47jOO769evcJ598ojx20aJFXFRUVLnf/+eff+b69evHcRzHyeVyrkWLFtwPP/yg3O/p6cmVDBN4vS5fvqz8XqWvz3EcN2jQIO6rr75Svn/48KHK5ziO4wYMGKByzCeffMJt2LCB4ziOUygU3IgRI1Su7eXlxZ04cUJp6/Dhw7n27dtzCoWi3O9WmpI2HTlyRKktx3HckydPuHnz5nEAuK1bt3JxcXHc6dOnOQDcxIkTOR8fHy4lJYUbPXo017lzZ7WuV9OpJVLMShBENdK4cWN4eHigX79+2Lx5M6ZOnSq2SQQhWc6ePYsnT57g/v376NevH44ePaqcI7dmzRp0794dv/76KwDAwsIC3bt3R3x8PPr27Qtra2v07dsXH3zwAT744APlOZs1a6b8t7m5OSZMmAAHBwcAwOuvvw6FQoGMjAy0bt1aOV9w2bJlsLCwQO/evXHmzBns3LkTmzZtQmJiIg4fPoypU6eiR48eWLZsGczNzVGnTh289957Kt8lMTERly5dgp+fH95//33Mnz8fdevW/f/27j+q5vuPA/jTlbRJWlR+9MvIj9hRm8jxOyxaDKNIJgdt0nTaFlkciYbJj2iGpORHxCrFMkdIbX6tkhT9WEKz0hS5/e72+v7R6bPq3lu31lfh9TjH0X1/3p/X+/Xpcs/rfu7n87oyj9vY2Bg9e/YUHvfs2bNZN6m88847UuvLIusj47pjMTExCAsLQ1BQEICa6yhnzpyJX3/9VZjj6emJxYsXCzcy6erqQiKRID8/v8k7wusKCQnBrVu34O3tLYzp6OgIz8GKFSsAAPr6+tDS0sKAAQMwc+ZMAMCMGTPg5OSk8FpvMi4eGXuDzZ07F35+fm2dBmPtmqWlpdw2LsnJyfDy8oKZmZnM7SKRCN26dZMar3u9oJKSEgICAnDt2jVERkbixYsXAIDq6moANcUSUFOM1TI3N0dcXBzy8/OxYMECHDhwAMOHD4e1tTW8vLzQuXNnqXUAYOrUqRg6dCgmT54MCwsLbNmyRe51z59++inEYjF27dqF58+fo7i4WMhJUQ3Xb4lffvkF3bt3h6qqqjBWt+AtKSlBVlYWli5dWq/Yba7U1FQcO3ZM5kfPSkrS5VDd5wOoubOc79iuwdc8MvaGKSsrEy5Wz8jIgI2NTRtnxNjrq7y8HPHx8fXGqqurUVBQ0Kw4zs7OCA0NxcaNGzF37twm59eeTevcuTO0tbWRmJiIDRs24OzZsxg2bBhu374tc793330XsbGx+PHHH5GQkABTU1OcP39e5tw7d+4IRaaHhwe0tbWbdUytRSwWo6ioSG7hWl5eDgBSz0NxcTFKS0sVXsfIyAjTp0+HnZ1dq7UBeltx8dgOnTx5EiEhIW2dRrPdvHkTGhoaci+4bqmCggJs3boV+vr69VpEvIr18/Pz8f3330NPT6/RtVtbWVkZfHx85J7tuHTpEqytreHk5AQXF5d674ZPnz4NIyMjuLu74/fff4eLi4vC68bFxcHW1hZTp079z8fA2JtgyJAh8Pb2xsuXL4WxkydPQiwWKxzj4sWL2L17Nzw8PBo9UyeRSISfc3NzMXToUKipqSE8PBwqKipYu3YtkpOT0bVrVxw6dEhmjOjoaBQXF8PR0RGpqakYPHgw9u7dK3Ouo6Mjxo4di8GDByt0HLVnSJs7T1lZGQDqFXrV1dVCsThw4EBUVlYiJiZGKlZ1dTXee+899OrVCxs3bkRlZaWw7eDBgwrnVHcfkUgEe3t7EFGz9mX/4uKxHdq/fz8OHjzY1mk0W69evTB16lSoq6u3alyJRAKRSIRHjx5JbavbiFbe+v+lWS1Q887/VbbtqKqqQnBwMA4cOIDc3Fyp7UlJSbC1tcXevXvh6+sLiUQCV1dXYbudnR2ysrLg5eUFZ2fnZrWoMDIyQk5Ozn9us8HY66C2mCkpKZE7x83NDdnZ2TAzM4OPjw/WrVuHmJgY6OnpAagpbmrPjNUlkUiEYrD2/1NQUBDu3LmDgIAAADWvTUlJScI+ta9VVVVVCAkJwbp16wAA9+/fx7FjxwAABgYGGDFiBAYMGCCsU/fv/Px87N69G0DNdZfm5ubC3IbKyspw4cIFpKenIygoCFlZWcjLy8PFixdlxu7SpQsAIC0tDdHR0RCLxVJzaudlZmbi2bNnuHr1KrS1taGqqopjx44hNTUV27dvR05ODtLT05GZmYmFCxeie/fucHR0xP3791FSUiLkEBMTg+LiYri5ueHGjRsYN24c9u7dCxcXFzx//hwqKiq4dOkSDAwMcPz4cbnPY+3zoaGhgaNHjyIqKgrbtm2rt73hcdQtcAEIxWbdOW+ttr5jh9WXlpZG6urqJBKJKDs7u63TaTcuXrxIAOjBgwfC2PPnz8na2rrR/RSZ05To6GiptV+F1atXk76+vtS4paUlLViwQHh87do16tixY6vlt3DhQho/fnyrxGKsvfrtt99o/vz5BICGDRtGJ06ckHvn7r59+0hPT4+6detG9vb2JBaLqaqqinbv3k0ikYj09PTozJkzwvyffvqJRCIRGRsb061bt6iiooKsrKyoa9euZGtrS6mpqaShoUF2dnZUWVkp3NXs7OxMHh4eZG1tTfv27RPibd68mZSUlMjOzo5Wr15NX3/9NVVVVVFpaSl5enoSAJo8eTLdu3ePgoODCQDNnDmT3N3dycHBgcRisczjOnfuHGlqalL//v0pPDycXF1dqXfv3nTlyhW6f/8+mZubEwDy9PSkwsJCIiJaunQpqaurk6+vr8z1a+P26NGDpk2bJqzt5+dHampq9MEHH1BiYiJZWFjQ559/Tn/88QcREd24cYNMTExIWVmZLCwsaMOGDWRqakpHjx6liooKqq6uJk9PT9LS0qIePXrQN998Q5WVlUREFBYWRpqammRmZibzOAMDA0lVVZX09PQoKiqKnjx5Qjo6OiQSiWj9+vUUFxdHEydOJAC0adMmys/Ppz179pBIJCITExO6evUqxcfH04QJEwgAbdiwgYqLi5vxr+3Nw8VjO/Ptt99SVFQUdezYkdatW9fW6bQbly9frlfAlZaWkqWlZaNFjiJzWrL2q7J+/Xqp4vHFixekpKRE27dvF8ZKS0tJJBLRtm3bWmXdRYsWcfHI2CvUsCUOaxknJ6e2TuGtwR9btyMVFRXIysrC1KlTYWVlhYCAAKkLiGNjYzFv3jw4ODjg1KlT6NOnD3R1dREYGCjMKS8vx5o1a+Dq6gorKyvMmTMHT548EbbLa1araPz9+/dj1apVWLZsGTp37oyzZ8+isLAQ27ZtQ9++fetdGyhrrjyN5dVQUFAQMjMzkZ6eji+//BLBwcFS69ed88UXX2DPnj1QVVUVGtPeuXMHU6ZMkbpmRiKRwN3dHQ4ODliyZAl27NhRb3tpaSk8PDzg6OgIY2NjLF68GEVFRTLzjIiIgK6uLjp06IBDhw7h+fPnMDExwfTp02V+DN+UxMREVFVVoXv37sKYiooK1NTUkJiY2Ox4TXn58iVGjhyJ0aNH49ChQ7hx4wYWL16MadOmITk5GWPHjkXXrl3h7u6OyspKuLi4QE1NDcbGxvwNHYyxV+bUqVOwtrZu6zTeHm1dvbJ/HT9+nE6cOEFERFFRUQSAzp07V29OcnIy6evr0/Dhw8nHx4fi4+Np/PjxJBKJKCkpiYiIbGxsyNfXV9jns88+oyFDhlBlZWWjzWoVif/48WMaPny4EHvXrl0UGRlJeXl5QmPb2jN08ubK0lRess7+1T1DJmv9hnOIpBvT+vv7S73jd3FxoeXLlwuPHRwc6sV1cnKinJwcIiIqKCggTU1NWrJkiczjIqr5OKZjx460ZcsWKiwspOnTp1NFRYXc+bVknXkMCQkhABQREVFvXFdXlz7++OMmYyqi7u8sNjaW7O3thXzT09Ppo48+IkNDQwoMDKS8vDxas2YNASA3Nze6efMmPXjwgHR0dMjR0bFV8mHsTefn50cAFHpdYNISExMpJSWlrdN4q/CZx3YkIiICs2fPBgBYWFigb9++Uj36hg4dCn19fbz//vtYuXIlPvzwQxw4cABAzV1kycnJOHnypBAHANzd3ZGSkoJjx4412qxWkfhPnz7F7du3ERwcDACwt7eHjo4OtLS0YGpqWi9XeXNlaSqvpshaX5aGN480fPzgwQP4+PjA0dFRGJs1a5bw88OHDxEZGYkjR45gy5Yt2L9/P8aOHSvzgvlaI0aMgIuLCzZt2oQVK1Zg586d6NSpk0LH1ZCsfnBAzdnSlsaUJzY2Fv7+/vDz8xNiGxoaYtCgQejduzcWLVoELS0toQG5hYUFTE1NYWBggDFjxiA9Pb1V82HsTRQXF4cjR44AqGmErehrHvuXsbExjIyM2jqNtwo3CW8n0tLScO/ePSxbtkwYU1dXx9mzZ5GXl1ev/1aHDh3qFQ8DBgyAjo4O/vzzT1y+fBkA6jWtHTZsGJSUlHDr1i0sWrSo0Wa1TcWv/cjV1tYWu3fvxubNmzFhwgQA0s1iG5vbUFNNdBXRGs1qz58/j+rqahgYGAhjdZvVpqSkQEVFBW5ubs2K6+npidDQUBQUFKBfv34tzq9Xr14AIPx+aonFYmhqarY4bkPPnj2DpaUlfH19pZrnNnzcsJAFau5Qr9tSgzEm25gxY2S2qGGsPeMzj+2En58ffv75ZwQGBgp/wsPDIZFI6l1vKI+WlhY6d+4stBLIy8sTtolEImhqagpnj5rbrLZu/A4dOiA0NBTBwcHIzc3FxIkT5bYVas7clubV2mp7t8l7919eXo7s7GypBsFNNZwVi8Xo378/zp8/j6ioqBbnN3jwYHTq1AlPnz4VxkpKSlBUVIQRI0a0OG5D3bt3x9KlS+Hk5ISMjIxWi8sYY+z1x8VjO1BWVobMzEypM1J6enoYN24c/P39pZqZNuwzlZubi9GjRwsFxJUrV4RtRISCggKYm5u3qFlt3fgpKSlIT0/HvHnzkJKSgkmTJgk9xRpqzlxF86pLkeawsprVNmxUW/fvgQMHCvk0VF1dDSMjI5SXl8PLy6veNn9//0bzcHd3R1BQEBYtWoTly5ejuLi4ydxl0dDQgKWlJa5fvy6MJScnQ1lZGdOnT29RTHm2bt0KQ0ND2NjYNPqxPGOMsbcLF4/twOHDhzFmzBiZ26ysrJCRkSF1tiolJUUoKGNjYyGRSLBkyRKMGjUKU6ZMgY+Pj9CYNjIyEiYmJvjkk08UblYrL/7Lly/xww8/AKj5GiwrKyu5zWobm9tQU3nJa0T78OFDFBYW4sKFCwrN6devH65evYr4+HiEhYUhLCwMQE2xXVxcjGnTpmHgwIH47rvvcP36dVRUVAhf7XXt2jVoampi1qxZ2LFjBxYsWIB9+/Zh9uzZwrWasvj5+WHKlCnQ1tbG9u3bUVRUhFWrVsmdX6uyslLm96iuXbsW0dHRQmPjw4cPw9nZWe71pLXKy8thZmaGOXPmNPrNCrXNdJWVlXHixAmkpaXV+5aaus2PAekCHKh5w8KNdBlj7A3VhjfrMCIKDg4mDQ0NGj16NMXFxdXbdvfuXaFJq66urnAn9vjx48nExIRWrlxJbm5uNHPmTLp7966wX0FBAS1cuJDMzMzI0dGRli9fTgUFBURETTarbSr+tWvXCABNmjSJ3N3dyd7env7++2969OgR2djYEABauXIl/fPPP3LnytJYXo8fPxZif/XVV/TXX38REVFCQgL17t2bRo4cSdnZ2VLrN5yTm5tLWVlZZGRkROrq6uTt7U0BAQFkampKhw8fpvLyciKquaN43LhxpKysTKNGjSIfHx8aNGgQ7d27l4qLi6mwsJDs7OyoS5cu1LdvXzp8+LDc5zckJIRUVFQoNDSUiIgyMjLI0NCQANDq1auppKRE5n6nT5+moUOHkkgkop07d1JeXl697WFhYTRv3jxycnIid3d3kkgkcnOoVVpaSgYGBtSzZ09KSEiQOSc8PJx0dHRITU2NgoOD6cWLF2RsbCz87vft20d9+vQRtj958oRWrFhBAGj+/PmUnp5OZ86cIV1dXeratSuFhIQ0mRdjjLHXSwci/nLH182ECRNgYGCg0LWQ7TE+a1ve3t6YO3cu9PX12zoVxhhjryH+2Jqxt0hOTg6qq6u5cGSMMdZiXDy+hqqqqv6vbVD+3/FZ2xCLxUhISICrq2tbp8IYY+w1xsXja0QikWD//v1ISkrCpUuXEBER8VrFZ21LVVUVM2bMUOgudcYYY0wevuaRMcYYY4wpjM88MsYYY4wxhXHxyBhjjDHGFMbFI2OMMcYYUxgXj4wxxhhjTGFcPDLGGGOMMYVx8cgYY4wxxhTGxSNjjDHGGFMYF4+MMcYYY0xhXDwyxhhjjDGFcfHIGGOMMcYUxsUjY4wxxhhT2P8AezkXeTD7RucAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 650x325 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n",
    "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=12)\n",
    "\n",
    "axes[0].tick_params(direction='in')\n",
    "axes[0].yaxis.set_ticks_position('both')\n",
    "axes[0].xaxis.set_ticks_position('both')\n",
    "axes[0].tick_params(axis='x',labelsize=12)\n",
    "axes[0].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "\n",
    "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n",
    "\n",
    "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n",
    "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "\n",
    "\n",
    "axes[1].tick_params(direction='in')\n",
    "axes[1].yaxis.set_ticks_position('both')\n",
    "axes[1].xaxis.set_ticks_position('both')\n",
    "axes[1].tick_params(axis='x',labelsize=12)\n",
    "axes[1].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.xaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.yaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.xaxis.set_tick_params(width=1, length=8)\n",
    "    ax.yaxis.set_tick_params(width=1, length=8)\n",
    "    ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "    ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "\n",
    "    for axis in ['top', 'bottom', 'left', 'right']:\n",
    "        ax.spines[axis].set_linewidth(2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f7ffc4c",
   "metadata": {},
   "source": [
    "Also remove one case which had a NaN for peak heat rate for some reason."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "8f0c4e97",
   "metadata": {},
   "outputs": [],
   "source": [
    "del_index1 = np.where(np.isnan(z1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "1d375a45",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1 = np.delete(p1, del_index1 )\n",
    "x1 = np.delete(x1, del_index1 )\n",
    "y1 = np.delete(y1, del_index1 )\n",
    "z1 = np.delete(z1, del_index1 )\n",
    "h1 = np.delete(h1, del_index1 )\n",
    "u1 = np.delete(u1, del_index1 )\n",
    "v1 = np.delete(v1, del_index1 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e52eb1e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  7, 106, 178]),)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "del_index1 = np.where(h1<10)\n",
    "del_index1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "454c3736",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1 = np.delete(p1, del_index1 )\n",
    "x1 = np.delete(x1, del_index1 )\n",
    "y1 = np.delete(y1, del_index1 )\n",
    "z1 = np.delete(z1, del_index1 )\n",
    "h1 = np.delete(h1, del_index1 )\n",
    "u1 = np.delete(u1, del_index1 )\n",
    "v1 = np.delete(v1, del_index1 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "55769abe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------------------------------------------------------------------------------------------\n",
      "Parameter              |      Min.     0.13-percentile      Mean      99.87-percentile      Max\n",
      "--------------------------------------------------------------------------------------------------------\n",
      "Apoapsis altitude, km  |    133059          143582         519580          650989          651310\n",
      "Periapsis altitude, km |       78             81            188             229             230\n",
      "Peak deceleration, g   |       5.22           5.4           8.13            11.04           11.08\n",
      "Peak heat rate, W/cm2  |       1448           1459           1756            1928            1928\n",
      "Peak heat load, kJ/cm2 |        205            206            221             259             260\n",
      "Periapsis raise dV, m/s|      54.45          54.53          68.63           189.93           199.34\n",
      "Apoapsis corr. dV, m/s |     -70.98         -70.79           44.37          1055.64          1131.82\n",
      "--------------------------------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "print(\"--------------------------------------------------------------------------------------------------------\")\n",
    "\n",
    "print(\"Parameter              |      Min.     0.13-percentile      Mean      99.87-percentile      Max\")\n",
    "print(\"--------------------------------------------------------------------------------------------------------\")\n",
    "print(\"Apoapsis altitude, km  |    \" + str(round(np.min(x1))) + \"          \" +  str(round(np.percentile(x1, 0.13))) +\\\n",
    "                                                                \"         \" +  str(round(np.average(x1))) +\n",
    "                                                                \"          \" +  str(round(np.percentile(x1, 99.87)))+\\\n",
    "                                                                \"          \" +  str(round(np.max(x1))))\n",
    "print(\"Periapsis altitude, km |       \" + str(round(np.min(p1))) + \"             \" +  str(round(np.percentile(p1, 0.13))) +\\\n",
    "                                                                \"            \" +  str(round(np.average(p1))) +\n",
    "                                                                \"             \" +  str(round(np.percentile(p1, 99.87)))+\\\n",
    "                                                                \"             \" +  str(round(np.max(p1))))\n",
    "print(\"Peak deceleration, g   |       \" + str(round(np.min(y1), 2)) + \"           \" +  str(round(np.percentile(y1, 0.13), 2)) +\\\n",
    "                                                                \"           \" +  str(round(np.average(y1), 2)) +\n",
    "                                                                \"            \" +  str(round(np.percentile(y1, 99.87), 2))+\\\n",
    "                                                                \"           \" +  str(round(np.max(y1), 2)))\n",
    "\n",
    "print(\"Peak heat rate, W/cm2  |       \" + str(round(np.min(z1))) + \"           \" +  str(round(np.percentile(z1, 0.13))) +\\\n",
    "                                                                \"           \" +  str(round(np.average(z1))) +\n",
    "                                                                \"            \" +  str(round(np.percentile(z1, 99.87)))+\\\n",
    "                                                                \"            \" +  str(round(np.max(z1))))\n",
    "\n",
    "print(\"Peak heat load, kJ/cm2 |        \" + str(round(np.min(h1))) + \"            \" +  str(round(np.percentile(h1, 0.13))) +\\\n",
    "                                                                \"            \" +  str(round(np.average(h1))) +\n",
    "                                                                \"             \" +  str(round(np.percentile(h1, 99.87)))+\\\n",
    "                                                                \"             \" +  str(round(np.max(h1))))\n",
    "print(\"Periapsis raise dV, m/s|      \" + str(round(np.min(u1), 2)) + \"          \" +  str(round(np.percentile(u1, 0.13), 2)) +\\\n",
    "                                                                \"          \" +  str(round(np.average(u1), 2)) +\n",
    "                                                                \"           \" +  str(round(np.percentile(u1, 99.87), 2))+\\\n",
    "                                                                \"           \" +  str(round(np.max(u1), 2)))\n",
    "\n",
    "print(\"Apoapsis corr. dV, m/s |     \" + str(round(np.min(v1), 2)) + \"         \" +  str(round(np.percentile(v1, 0.13), 2)) +\\\n",
    "                                                                \"           \" +  str(round(np.average(v1), 2)) +\n",
    "                                                                \"          \" +  str(round(np.percentile(v1, 99.87), 2))+\\\n",
    "                                                                \"          \" +  str(round(np.max(v1), 2)))\n",
    "\n",
    "print(\"--------------------------------------------------------------------------------------------------------\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "8808f519",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "axes[0].axvline(x=550.0, linewidth=1.5, color='k', linestyle='dashed')\n",
    "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n",
    "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=12)\n",
    "\n",
    "axes[0].tick_params(direction='in')\n",
    "axes[0].yaxis.set_ticks_position('both')\n",
    "axes[0].xaxis.set_ticks_position('both')\n",
    "axes[0].tick_params(axis='x',labelsize=12)\n",
    "axes[0].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "\n",
    "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n",
    "axes[1].axhline(y=550.0, linewidth=1.5, color='k', linestyle='dashed')\n",
    "\n",
    "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n",
    "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n",
    "\n",
    "\n",
    "axes[1].tick_params(direction='in')\n",
    "axes[1].yaxis.set_ticks_position('both')\n",
    "axes[1].xaxis.set_ticks_position('both')\n",
    "axes[1].tick_params(axis='x',labelsize=12)\n",
    "axes[1].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.xaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.yaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.xaxis.set_tick_params(width=1, length=8)\n",
    "    ax.yaxis.set_tick_params(width=1, length=8)\n",
    "    ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "    ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "\n",
    "    for axis in ['top', 'bottom', 'left', 'right']:\n",
    "        ax.spines[axis].set_linewidth(2)\n",
    "        \n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XC.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XC.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XC.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "23f4a898",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "axes[0].plot(y1, z1, 'ro', markersize=5, mfc='None')\n",
    "axes[0].axhline(y=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[0].axvline(x=np.percentile(y1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[0].set_xlabel('Peak deceleration, Earth g', fontsize=12)\n",
    "axes[0].set_ylabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n",
    "axes[0].tick_params(direction='in')\n",
    "axes[0].yaxis.set_ticks_position('both')\n",
    "axes[0].xaxis.set_ticks_position('both')\n",
    "axes[0].tick_params(axis='x',labelsize=12)\n",
    "axes[0].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "axes[1].plot(z1, h1, 'go', markersize=5, mfc='None')\n",
    "axes[1].axhline(y=np.percentile(h1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[1].axvline(x=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[1].set_xlabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n",
    "axes[1].set_ylabel('Peak stagnation-point heat load, '+r'$kJ/cm^2$', fontsize=12)\n",
    "axes[1].tick_params(direction='in')\n",
    "axes[1].yaxis.set_ticks_position('both')\n",
    "axes[1].xaxis.set_ticks_position('both')\n",
    "axes[1].tick_params(axis='x',labelsize=12)\n",
    "axes[1].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "for ax in axes:\n",
    "    ax.xaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.yaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.xaxis.set_tick_params(width=1, length=8)\n",
    "    ax.yaxis.set_tick_params(width=1, length=8)\n",
    "    ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "    ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "\n",
    "    for axis in ['top', 'bottom', 'left', 'right']:\n",
    "        ax.spines[axis].set_linewidth(2)\n",
    "        \n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XC.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XC.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XC.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "d1a7fb4a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "\n",
    "axes[0].hist(u1, bins=10, color='xkcd:periwinkle')\n",
    "axes[0].axvline(x=np.percentile(u1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[0].set_xlabel('Periapse raise '+r'$\\Delta V$'+', m/s', fontsize=12)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=12)\n",
    "axes[0].tick_params(direction='in')\n",
    "axes[0].yaxis.set_ticks_position('both')\n",
    "axes[0].xaxis.set_ticks_position('both')\n",
    "axes[0].tick_params(axis='x',labelsize=12)\n",
    "axes[0].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "axes[1].hist(v1, bins=10, color='xkcd:orange')\n",
    "axes[1].axvline(x=np.percentile(v1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n",
    "axes[1].set_xlabel('Apoapsis correction '+r'$\\Delta V$'+', m/s', fontsize=12)\n",
    "axes[1].set_ylabel('Number of cases', fontsize=12)\n",
    "axes[1].tick_params(direction='in')\n",
    "axes[1].yaxis.set_ticks_position('both')\n",
    "axes[1].xaxis.set_ticks_position('both')\n",
    "axes[1].tick_params(axis='x',labelsize=12)\n",
    "axes[1].tick_params(axis='y',labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "for ax in axes:\n",
    "    ax.xaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.yaxis.set_tick_params(direction='in', which='both')\n",
    "    ax.xaxis.set_tick_params(width=1, length=8)\n",
    "    ax.yaxis.set_tick_params(width=1, length=8)\n",
    "    ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n",
    "    ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "    ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n",
    "    ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n",
    "\n",
    "    for axis in ['top', 'bottom', 'left', 'right']:\n",
    "        ax.spines[axis].set_linewidth(2)\n",
    "        \n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XC.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XC.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XC.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "08cefff7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def percent_between(a, lower, upper, closed_left=True, closed_right=True):\n",
    "    \"\"\"\n",
    "    Finds the percentage of values between a range for a numpy array\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    a: np.ndarray\n",
    "      numpy array to calculate percentage\n",
    "    lower: int, float\n",
    "      lower bound\n",
    "    upper: int, float\n",
    "      upper bound\n",
    "    closed_left:\n",
    "      closed left bound ( > vs >= )\n",
    "    closed_right:\n",
    "      closed right bound ( < vs <= )\n",
    "    \"\"\"\n",
    "    l = np.greater if not closed_left else np.greater_equal\n",
    "    r = np.less if not closed_right else np.less_equal\n",
    "\n",
    "    c = l(a, lower) & r(a, upper)\n",
    "    return np.count_nonzero(c) / float(a.size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "988ca26c",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXC/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "b7cda32d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, -3e9, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "34c7a258",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.705"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 500e3, 600e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "750d57ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.865"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 450e3, 650e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b11149fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.89"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 350e3, 750e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "b8099b30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.059999999999999984"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - percent_between(x1, 350e3, 750e3) - percent_between(x1, -1e9, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "86a6f30e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.89 + 0.0599 + 0.05"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4994e019",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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