{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05a0b4f5",
   "metadata": {},
   "source": [
    "# Section 08 - Performance Analysis - G - stress case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2fd5ec76",
   "metadata": {},
   "outputs": [],
   "source": [
    "from AMAT.planet import Planet\n",
    "from AMAT.vehicle import Vehicle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e12da72e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": 51,
   "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": 52,
   "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": 53,
   "id": "bb531abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n",
    "                                 -11.70, 0.20, 0.20, 0.013, 0.5, 0.1, 2400.0, atmSigmaFactor=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75cd9087",
   "metadata": {},
   "source": [
    "## Small run N = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "dc11080e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 1, SAMPLE #: 158, EFPA: -11.54, SIGMA: 0.95, LD: 0.21, APO : 495590.70\n",
      "RUN #: 2, SAMPLE #: 187, EFPA: -11.65, SIGMA: 0.38, LD: 0.20, APO : 539584.13\n",
      "RUN #: 3, SAMPLE #: 188, EFPA: -11.89, SIGMA: 0.28, LD: 0.23, APO : 559438.81\n",
      "RUN #: 4, SAMPLE #: 73, EFPA: -11.58, SIGMA: 3.28, LD: 0.19, APO : 504216.05\n",
      "RUN #: 5, SAMPLE #: 151, EFPA: -11.56, SIGMA: 0.18, LD: 0.20, APO : 496675.43\n",
      "RUN #: 6, SAMPLE #: 168, EFPA: -11.69, SIGMA: 0.41, LD: 0.20, APO : 525125.97\n",
      "RUN #: 7, SAMPLE #: 36, EFPA: -11.58, SIGMA: -4.11, LD: 0.19, APO : 523289.29\n",
      "RUN #: 8, SAMPLE #: 87, EFPA: -11.53, SIGMA: -2.32, LD: 0.19, APO : 508854.51\n",
      "RUN #: 9, SAMPLE #: 139, EFPA: -11.70, SIGMA: 2.61, LD: 0.20, APO : 521176.33\n",
      "RUN #: 10, SAMPLE #: 158, EFPA: -11.95, SIGMA: 4.11, LD: 0.19, APO : 231747.75\n",
      "RUN #: 11, SAMPLE #: 97, EFPA: -11.74, SIGMA: -1.86, LD: 0.20, APO : 514018.31\n",
      "RUN #: 12, SAMPLE #: 33, EFPA: -12.05, SIGMA: -0.22, LD: 0.21, APO : 295948.78\n",
      "RUN #: 13, SAMPLE #: 151, EFPA: -11.77, SIGMA: -4.32, LD: 0.19, APO : 557280.20\n",
      "RUN #: 14, SAMPLE #: 141, EFPA: -11.78, SIGMA: -4.24, LD: 0.21, APO : 499815.17\n",
      "RUN #: 15, SAMPLE #: 30, EFPA: -11.58, SIGMA: -0.28, LD: 0.20, APO : 508579.50\n",
      "RUN #: 16, SAMPLE #: 71, EFPA: -12.28, SIGMA: 5.31, LD: 0.19, APO : 38937.17\n",
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      "RUN #: 25, SAMPLE #: 97, EFPA: -11.76, SIGMA: 1.88, LD: 0.19, APO : 551256.52\n",
      "RUN #: 26, SAMPLE #: 16, EFPA: -11.78, SIGMA: 1.56, LD: 0.19, APO : 502491.40\n",
      "RUN #: 27, SAMPLE #: 150, EFPA: -11.51, SIGMA: -3.57, LD: 0.19, APO : 357739.72\n",
      "RUN #: 28, SAMPLE #: 30, EFPA: -11.58, SIGMA: -2.83, LD: 0.21, APO : 514963.03\n",
      "RUN #: 29, SAMPLE #: 75, EFPA: -11.75, SIGMA: 0.28, LD: 0.20, APO : 501785.12\n",
      "RUN #: 30, SAMPLE #: 143, EFPA: -11.97, SIGMA: 0.94, LD: 0.20, APO : 517756.06\n",
      "RUN #: 31, SAMPLE #: 132, EFPA: -11.54, SIGMA: -10.70, LD: 0.21, APO : -79495.70\n",
      "RUN #: 32, SAMPLE #: 172, EFPA: -11.73, SIGMA: 2.76, LD: 0.20, APO : 485153.50\n",
      "RUN #: 33, SAMPLE #: 126, EFPA: -11.83, SIGMA: 2.25, LD: 0.19, APO : 527489.03\n",
      "RUN #: 34, SAMPLE #: 135, EFPA: -11.75, SIGMA: 1.95, LD: 0.21, APO : 525831.12\n",
      "RUN #: 35, SAMPLE #: 69, EFPA: -11.49, SIGMA: 0.64, LD: 0.18, APO : 527838.21\n",
      "RUN #: 36, SAMPLE #: 92, EFPA: -11.22, SIGMA: -2.42, LD: 0.20, APO : 488772.10\n",
      "RUN #: 37, SAMPLE #: 148, EFPA: -11.61, SIGMA: -0.40, LD: 0.19, APO : 535871.04\n",
      "RUN #: 38, SAMPLE #: 103, EFPA: -11.74, SIGMA: 4.36, LD: 0.20, APO : 501830.49\n",
      "RUN #: 39, SAMPLE #: 9, EFPA: -11.73, SIGMA: -0.60, LD: 0.19, APO : 539959.75\n",
      "RUN #: 40, SAMPLE #: 69, EFPA: -11.81, SIGMA: 0.48, LD: 0.23, APO : 509360.21\n",
      "RUN #: 41, SAMPLE #: 7, EFPA: -11.90, SIGMA: -0.40, LD: 0.18, APO : 535772.39\n",
      "RUN #: 42, SAMPLE #: 106, EFPA: -11.53, SIGMA: -1.90, LD: 0.20, APO : 540324.50\n",
      "RUN #: 43, SAMPLE #: 39, EFPA: -11.35, SIGMA: 2.56, LD: 0.21, APO : 519010.20\n",
      "RUN #: 44, SAMPLE #: 178, EFPA: -11.98, SIGMA: -0.93, LD: 0.19, APO : 491993.04\n",
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      "RUN #: 47, SAMPLE #: 152, EFPA: -11.71, SIGMA: 8.40, LD: 0.20, APO : 589376.81\n",
      "RUN #: 48, SAMPLE #: 126, EFPA: -11.53, SIGMA: 4.56, LD: 0.19, APO : 520152.31\n",
      "RUN #: 49, SAMPLE #: 102, EFPA: -11.89, SIGMA: -0.08, LD: 0.19, APO : 508871.15\n",
      "RUN #: 50, SAMPLE #: 2, EFPA: -11.34, SIGMA: 2.97, LD: 0.19, APO : 526204.51\n",
      "RUN #: 51, SAMPLE #: 162, EFPA: -11.68, SIGMA: -4.53, LD: 0.20, APO : 428596.11\n",
      "RUN #: 52, SAMPLE #: 23, EFPA: -11.54, SIGMA: -1.92, LD: 0.21, APO : 516651.14\n",
      "RUN #: 53, SAMPLE #: 96, EFPA: -11.79, SIGMA: 2.34, LD: 0.20, APO : 500935.07\n",
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      "RUN #: 57, SAMPLE #: 63, EFPA: -11.94, SIGMA: -0.45, LD: 0.21, APO : 491793.97\n",
      "RUN #: 58, SAMPLE #: 136, EFPA: -11.72, SIGMA: -3.40, LD: 0.20, APO : 530013.09\n",
      "RUN #: 59, SAMPLE #: 15, EFPA: -11.33, SIGMA: 2.80, LD: 0.20, APO : 544478.38\n",
      "RUN #: 60, SAMPLE #: 44, EFPA: -11.71, SIGMA: 3.85, LD: 0.19, APO : 531387.19\n",
      "RUN #: 61, SAMPLE #: 109, EFPA: -11.89, SIGMA: 3.79, LD: 0.21, APO : 495711.74\n",
      "RUN #: 62, SAMPLE #: 103, EFPA: -11.31, SIGMA: 0.42, LD: 0.19, APO : 496684.54\n",
      "RUN #: 63, SAMPLE #: 102, EFPA: -11.62, SIGMA: 1.64, LD: 0.19, APO : 539726.08\n",
      "RUN #: 64, SAMPLE #: 114, EFPA: -11.80, SIGMA: 4.58, LD: 0.18, APO : 536261.75\n",
      "RUN #: 65, SAMPLE #: 137, EFPA: -11.21, SIGMA: 0.21, LD: 0.22, APO : 519189.91\n",
      "RUN #: 66, SAMPLE #: 55, EFPA: -11.35, SIGMA: 0.09, LD: 0.20, APO : 519695.05\n",
      "RUN #: 67, SAMPLE #: 81, EFPA: -11.80, SIGMA: 1.41, LD: 0.22, APO : 531099.27\n",
      "RUN #: 68, SAMPLE #: 3, EFPA: -11.50, SIGMA: -3.66, LD: 0.21, APO : 485217.73\n",
      "RUN #: 69, SAMPLE #: 68, EFPA: -12.04, SIGMA: 0.45, LD: 0.20, APO : 412355.59\n",
      "RUN #: 70, SAMPLE #: 149, EFPA: -11.65, SIGMA: -0.41, LD: 0.22, APO : 546880.04\n",
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      "RUN #: 79, SAMPLE #: 91, EFPA: -11.64, SIGMA: -4.24, LD: 0.19, APO : 534890.11\n",
      "RUN #: 80, SAMPLE #: 81, EFPA: -11.70, SIGMA: 3.98, LD: 0.19, APO : 495924.59\n",
      "RUN #: 81, SAMPLE #: 115, EFPA: -11.68, SIGMA: -0.14, LD: 0.20, APO : 501734.71\n",
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      "RUN #: 83, SAMPLE #: 171, EFPA: -11.37, SIGMA: 0.46, LD: 0.20, APO : 476944.90\n",
      "RUN #: 84, SAMPLE #: 85, EFPA: -11.77, SIGMA: -5.47, LD: 0.19, APO : 493913.49\n",
      "RUN #: 85, SAMPLE #: 12, EFPA: -11.55, SIGMA: 3.51, LD: 0.21, APO : 513598.26\n",
      "RUN #: 86, SAMPLE #: 180, EFPA: -11.73, SIGMA: -1.43, LD: 0.19, APO : 510668.27\n",
      "RUN #: 87, SAMPLE #: 16, EFPA: -11.56, SIGMA: 0.56, LD: 0.19, APO : 508970.41\n",
      "RUN #: 88, SAMPLE #: 179, EFPA: -11.79, SIGMA: 1.42, LD: 0.19, APO : 508949.36\n",
      "RUN #: 89, SAMPLE #: 136, EFPA: -11.70, SIGMA: 1.83, LD: 0.18, APO : 517559.64\n",
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      "RUN #: 91, SAMPLE #: 7, EFPA: -11.91, SIGMA: -0.22, LD: 0.21, APO : 477769.86\n",
      "RUN #: 92, SAMPLE #: 133, EFPA: -11.32, SIGMA: -3.28, LD: 0.20, APO : 481064.92\n",
      "RUN #: 93, SAMPLE #: 76, EFPA: -11.42, SIGMA: 0.56, LD: 0.23, APO : 581582.10\n",
      "RUN #: 94, SAMPLE #: 75, EFPA: -11.50, SIGMA: -5.04, LD: 0.18, APO : 550691.14\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 105, SAMPLE #: 151, EFPA: -11.62, SIGMA: 0.53, LD: 0.20, APO : 585825.84\n",
      "RUN #: 106, SAMPLE #: 192, EFPA: -11.58, SIGMA: -1.82, LD: 0.23, APO : 515873.06\n",
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      "RUN #: 112, SAMPLE #: 28, EFPA: -11.68, SIGMA: -2.49, LD: 0.20, APO : 509313.40\n",
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      "RUN #: 125, SAMPLE #: 87, EFPA: -11.77, SIGMA: -0.62, LD: 0.22, APO : 535690.70\n",
      "RUN #: 126, SAMPLE #: 200, EFPA: -11.74, SIGMA: 4.45, LD: 0.21, APO : 546829.83\n",
      "RUN #: 127, SAMPLE #: 158, EFPA: -11.71, SIGMA: -0.87, LD: 0.17, APO : 455758.26\n",
      "RUN #: 128, SAMPLE #: 131, EFPA: -11.75, SIGMA: 4.35, LD: 0.21, APO : 556895.74\n",
      "RUN #: 129, SAMPLE #: 138, EFPA: -11.55, SIGMA: -1.95, LD: 0.19, APO : 551360.49\n",
      "RUN #: 130, SAMPLE #: 119, EFPA: -11.73, SIGMA: -1.50, LD: 0.18, APO : 525045.41\n",
      "RUN #: 131, SAMPLE #: 28, EFPA: -11.92, SIGMA: -2.57, LD: 0.22, APO : 514702.76\n",
      "RUN #: 132, SAMPLE #: 18, EFPA: -11.68, SIGMA: 2.28, LD: 0.20, APO : 547654.70\n",
      "RUN #: 133, SAMPLE #: 197, EFPA: -11.85, SIGMA: -2.61, LD: 0.20, APO : 494541.42\n",
      "RUN #: 134, SAMPLE #: 105, EFPA: -11.62, SIGMA: 1.11, LD: 0.19, APO : 519528.12\n",
      "RUN #: 135, SAMPLE #: 81, EFPA: -11.47, SIGMA: -0.02, LD: 0.20, APO : 507745.59\n",
      "RUN #: 136, SAMPLE #: 73, EFPA: -12.04, SIGMA: -4.82, LD: 0.20, APO : 568489.01\n",
      "RUN #: 137, SAMPLE #: 11, EFPA: -11.54, SIGMA: -6.98, LD: 0.22, APO : -147527.57\n",
      "RUN #: 138, SAMPLE #: 157, EFPA: -11.84, SIGMA: -2.60, LD: 0.18, APO : 569429.23\n",
      "RUN #: 139, SAMPLE #: 8, EFPA: -11.43, SIGMA: -1.43, LD: 0.19, APO : 524285.10\n",
      "RUN #: 140, SAMPLE #: 21, EFPA: -11.91, SIGMA: 1.03, LD: 0.19, APO : 524438.96\n",
      "RUN #: 141, SAMPLE #: 103, EFPA: -11.80, SIGMA: 1.01, LD: 0.20, APO : 512215.10\n",
      "RUN #: 142, SAMPLE #: 17, EFPA: -11.59, SIGMA: 0.12, LD: 0.20, APO : 509958.30\n",
      "RUN #: 143, SAMPLE #: 9, EFPA: -11.93, SIGMA: -3.63, LD: 0.19, APO : 521996.05\n",
      "RUN #: 144, SAMPLE #: 95, EFPA: -11.91, SIGMA: -4.06, LD: 0.20, APO : 507076.91\n",
      "RUN #: 145, SAMPLE #: 86, EFPA: -11.45, SIGMA: 0.85, LD: 0.21, APO : 528853.09\n",
      "RUN #: 146, SAMPLE #: 2, EFPA: -12.09, SIGMA: -1.55, LD: 0.19, APO : 307820.58\n",
      "RUN #: 147, SAMPLE #: 131, EFPA: -11.33, SIGMA: 0.63, LD: 0.20, APO : 558175.41\n",
      "RUN #: 148, SAMPLE #: 200, EFPA: -11.65, SIGMA: -6.44, LD: 0.19, APO : 391114.21\n",
      "RUN #: 149, SAMPLE #: 153, EFPA: -11.78, SIGMA: -0.57, LD: 0.19, APO : 498967.43\n",
      "RUN #: 150, SAMPLE #: 16, EFPA: -11.55, SIGMA: 4.10, LD: 0.21, APO : 516108.74\n",
      "RUN #: 151, SAMPLE #: 73, EFPA: -11.91, SIGMA: -3.36, LD: 0.18, APO : 531111.86\n",
      "RUN #: 152, SAMPLE #: 43, EFPA: -11.80, SIGMA: -1.29, LD: 0.21, APO : 524970.71\n",
      "RUN #: 153, SAMPLE #: 18, EFPA: -11.75, SIGMA: 1.03, LD: 0.21, APO : 528950.70\n",
      "RUN #: 154, SAMPLE #: 152, EFPA: -11.58, SIGMA: -4.32, LD: 0.21, APO : 503458.13\n",
      "RUN #: 155, SAMPLE #: 149, EFPA: -11.90, SIGMA: -4.97, LD: 0.21, APO : 520535.72\n",
      "RUN #: 156, SAMPLE #: 146, EFPA: -12.11, SIGMA: 0.16, LD: 0.22, APO : 237810.94\n",
      "RUN #: 157, SAMPLE #: 21, EFPA: -11.76, SIGMA: 0.47, LD: 0.18, APO : 507102.71\n",
      "RUN #: 158, SAMPLE #: 60, EFPA: -11.72, SIGMA: -2.21, LD: 0.21, APO : 558026.56\n",
      "RUN #: 159, SAMPLE #: 95, EFPA: -11.86, SIGMA: -1.58, LD: 0.20, APO : 543241.43\n",
      "RUN #: 160, SAMPLE #: 12, EFPA: -11.53, SIGMA: 0.38, LD: 0.19, APO : 527465.41\n",
      "RUN #: 161, SAMPLE #: 59, EFPA: -11.67, SIGMA: 0.57, LD: 0.17, APO : 557597.72\n",
      "RUN #: 162, SAMPLE #: 62, EFPA: -11.71, SIGMA: -7.62, LD: 0.20, APO : -89997.24\n",
      "RUN #: 163, SAMPLE #: 175, EFPA: -12.03, SIGMA: -1.54, LD: 0.21, APO : 520853.34\n",
      "RUN #: 164, SAMPLE #: 99, EFPA: -11.81, SIGMA: -0.04, LD: 0.19, APO : 479448.61\n",
      "RUN #: 165, SAMPLE #: 189, EFPA: -11.69, SIGMA: 2.98, LD: 0.18, APO : 560527.35\n",
      "RUN #: 166, SAMPLE #: 34, EFPA: -11.81, SIGMA: 0.37, LD: 0.18, APO : 570563.89\n",
      "RUN #: 167, SAMPLE #: 56, EFPA: -11.55, SIGMA: 1.04, LD: 0.20, APO : 572676.91\n",
      "RUN #: 168, SAMPLE #: 182, EFPA: -11.82, SIGMA: 0.71, LD: 0.20, APO : 522882.85\n",
      "RUN #: 169, SAMPLE #: 37, EFPA: -11.67, SIGMA: -2.42, LD: 0.19, APO : 497220.73\n",
      "RUN #: 170, SAMPLE #: 151, EFPA: -11.85, SIGMA: -3.97, LD: 0.20, APO : 432424.63\n",
      "RUN #: 171, SAMPLE #: 86, EFPA: -11.49, SIGMA: -2.50, LD: 0.18, APO : 605245.01\n",
      "RUN #: 172, SAMPLE #: 135, EFPA: -11.88, SIGMA: 2.51, LD: 0.21, APO : 547781.70\n",
      "RUN #: 173, SAMPLE #: 141, EFPA: -11.72, SIGMA: -1.45, LD: 0.22, APO : 556402.10\n",
      "RUN #: 174, SAMPLE #: 50, EFPA: -11.44, SIGMA: 4.47, LD: 0.20, APO : 542589.03\n",
      "RUN #: 175, SAMPLE #: 5, EFPA: -11.67, SIGMA: 1.41, LD: 0.20, APO : 570597.86\n",
      "RUN #: 176, SAMPLE #: 98, EFPA: -11.78, SIGMA: -1.33, LD: 0.17, APO : 590341.63\n",
      "RUN #: 177, SAMPLE #: 179, EFPA: -11.48, SIGMA: -5.57, LD: 0.21, APO : 483366.17\n",
      "RUN #: 178, SAMPLE #: 7, EFPA: -11.56, SIGMA: 2.53, LD: 0.21, APO : 482614.39\n",
      "RUN #: 179, SAMPLE #: 129, EFPA: -11.70, SIGMA: -0.09, LD: 0.21, APO : 486648.23\n",
      "RUN #: 180, SAMPLE #: 185, EFPA: -11.92, SIGMA: -0.49, LD: 0.21, APO : 556832.89\n",
      "RUN #: 181, SAMPLE #: 172, EFPA: -11.68, SIGMA: 4.67, LD: 0.21, APO : 510114.66\n",
      "RUN #: 182, SAMPLE #: 176, EFPA: -11.73, SIGMA: -1.07, LD: 0.18, APO : 534733.69\n",
      "RUN #: 183, SAMPLE #: 36, EFPA: -11.82, SIGMA: -0.83, LD: 0.21, APO : 559100.23\n",
      "RUN #: 184, SAMPLE #: 147, EFPA: -11.90, SIGMA: -0.31, LD: 0.21, APO : 595459.21\n",
      "RUN #: 185, SAMPLE #: 18, EFPA: -11.81, SIGMA: -1.22, LD: 0.19, APO : 531766.42\n",
      "RUN #: 186, SAMPLE #: 49, EFPA: -11.73, SIGMA: 0.31, LD: 0.18, APO : 536231.99\n",
      "RUN #: 187, SAMPLE #: 72, EFPA: -11.63, SIGMA: -5.92, LD: 0.20, APO : 523396.58\n",
      "RUN #: 188, SAMPLE #: 137, EFPA: -11.95, SIGMA: 1.72, LD: 0.18, APO : 585684.82\n",
      "RUN #: 189, SAMPLE #: 199, EFPA: -11.58, SIGMA: 0.96, LD: 0.21, APO : 535939.30\n",
      "RUN #: 190, SAMPLE #: 4, EFPA: -11.77, SIGMA: 3.06, LD: 0.19, APO : 496846.61\n",
      "RUN #: 191, SAMPLE #: 58, EFPA: -11.82, SIGMA: 3.30, LD: 0.20, APO : 570627.30\n",
      "RUN #: 192, SAMPLE #: 88, EFPA: -11.93, SIGMA: -5.31, LD: 0.18, APO : 578650.10\n",
      "RUN #: 193, SAMPLE #: 76, EFPA: -11.89, SIGMA: 3.57, LD: 0.21, APO : 437349.00\n",
      "RUN #: 194, SAMPLE #: 47, EFPA: -12.02, SIGMA: 0.99, LD: 0.21, APO : 220334.39\n",
      "RUN #: 195, SAMPLE #: 174, EFPA: -11.39, SIGMA: 3.01, LD: 0.21, APO : 512261.74\n",
      "RUN #: 196, SAMPLE #: 28, EFPA: -11.40, SIGMA: 1.27, LD: 0.19, APO : 490493.94\n",
      "RUN #: 197, SAMPLE #: 45, EFPA: -11.86, SIGMA: -4.67, LD: 0.20, APO : 522029.93\n",
      "RUN #: 198, SAMPLE #: 170, EFPA: -11.91, SIGMA: 4.39, LD: 0.18, APO : 344820.85\n",
      "RUN #: 199, SAMPLE #: 148, EFPA: -11.83, SIGMA: 3.53, LD: 0.22, APO : 564367.07\n",
      "RUN #: 200, SAMPLE #: 155, EFPA: -11.61, SIGMA: 4.26, LD: 0.21, APO : 468480.36\n"
     ]
    }
   ],
   "source": [
    "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "c02a8682",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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": 24,
   "id": "3546740c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 30, 136, 161]),)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "del_index1 = np.where(x1 < 0)\n",
    "del_index1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0dd7381",
   "metadata": {},
   "source": [
    "These four cases failed to capture. Delete them from the results for plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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": 26,
   "id": "5f3437e1",
   "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=20, 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": "code",
   "execution_count": 27,
   "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  |    38937          67269         511164          664592          683243\n",
      "Periapsis altitude, km |       0             31            185             222             223\n",
      "Peak deceleration, g   |       6.27           6.33           8.19            13.51           14.46\n",
      "Peak heat rate, W/cm2  |       1503           1512           1749            2020            2036\n",
      "Peak heat load, kJ/cm2 |        203            203            221             245             246\n",
      "Periapsis raise dV, m/s|      52.1          53.6          70.45           324.51           373.38\n",
      "Apoapsis corr. dV, m/s |     -89.27         -77.92           60.65          2424.28          2914.18\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": 11,
   "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=20, 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-XG.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XG.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XG.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "23f4a898",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TwliedWPHUOdZL6mFjx49Wi92nbGi6ARxRUUFeDyeyqdIDfkEsbLTnnw+H3w+n5HP1E8Ql5aWQigUau0EsbrrRBsniCsqKiCTyQz+BHGrVq2Y2KxCoRAymazJ64QQAktLS72fINYkWVlZWL16NdLS0uq5DSUlJaGwsFAn49AEpu7DW1FR0ehhS1G+CG5b3ODZzxMb390Ia4E1JFIJfM/4IjwxHKmLUtHDUX+h8YwFVeaao/kom2dCCLNnt23bViPusHpPLZyVlYXPPvsM77zzDkaOHMm8hg8fXi/4tylQ+wTxxo0bYWFhARsbm3o33cbGBjY2NqzYiwKBADY2NvVOQDalbqtWrWBjY8MoJgA97WljY1PvxGZT6lpbW8PGxoZ1alR+2tPa2poVfFxZ3bonV62srGBjY8Py4WlKXfnJ0LoO75aWlrCxsWGd4mxKXfnJUBsbm3onwkNCQlSuq+q918Q6UXQ/m7tONm7cyNzP5q6Tuvezueuk9v0Ui8VwcnKCk5MTZDKZWutEvoZr38+G6spp6r3XNe+99x5OnDiBNm3aoGvXrsyrW7dusLOz0+vYONjU3kMbIiwhDHZWdggaEwRrAX32rAXWCBoThNaWrREaH6rtYZoEqsw1R/NRNs+19+y6Zza0jdYC57733nvIz8/HkCFDWJs/IQTpJp533lSs16rAyWqacLIaNw8ePEBKSopCF4iTJ0/qYUQcDaHK+ksvSod7e3dYmbP/gbUWWMOjgwfSi9K1NDrTwhSfdUPEUOdZawqvtjbc7OxsLFy4EOfPn0e7du2wZMkS/Pe//2WuP3r0CF9//TU6duyIZ8+e4eeff0aHDh2Y64QQfPvtt8jNzYVYLMaUKVPw/vvvs/qIjY3F9u3b4eTkBIFAgHXr1jUpqcaNGzfwwgsvqC2jMcHJapoYi6w2NjZorleWscjaFLy8vPDs2TOF+2/d1KIc+kWV9edq54ro+9GQSCWMhRcAJFIJErMT4TPAR9vDNAlM8Vk3RJTNsyb2bHXRmkuDfMNVRHM2XE9PT/Tt2xdbt26Fq6srFixYgD179gCgpvK3334bXl5eWL9+PSZOnIj333+fFVZpxYoVePjwIXbu3ImdO3di4cKF+Ouvv5jrSUlJmDZtGrZu3YrNmzejuroaX331VZPG6OzsrLZ8xgYnq2nCyWrcrF27FseOHcPFixdZr7i4OHz33Xf6Hh5HLVRZf579PFFUXgTfM76QSKlPutyHt7iiGF79Tc9NUBuY4rNuiBjqPGvNwrt27Vp899139WJaymQyhISEYO/evU1u8++//4anpycmT54MAPjkk0/Qp08f7Ny5EzNnzsSWLVtQXl6O0aNHAwAmTJiAWbNmYf/+/Zg5cyaysrIQGBiIU6dOAaD+jGPHjsU333yDCxcuAKCnnUeNGoW2bdsCAKZNm4YhQ4bg888/h6urq0rjrO3zaOpwspomnKzGzffff4+AgACsXr26njWFx+Optf9yaAdV1l/PNj0RMj4E3pHeOJZ6DO7t3ZGYnYjiimKEjA/hDqypiCk+64aIoc6z1iy88g13xIgReOutt5jXyJEjceDAAbXadHR0ZPmGmJubY8yYMUxK4yNHjqB///7MdTMzM7i7u+PXX38FAERGRqKyspJVZ8CAAfj999+Rm5uL4uJiREdHs657eHiAEIIjR46oPM5Hjx6pJZ8xwslqmhiLrBUVFVi8eDEWL16sdrIHY5G1KWzcuBF+fn74+++/8fDhQ+Z17949LFiwQN/D46iFqutvjsccpC5Kxfz+89Fe2B4+A3yQuigVczzmaHeAJoQpPuuGiLJ51sSerS5as/DKN9yZM2eyTnRXV1dj/fr1arWpyExeVVWFQYMGobq6Grdu3cLMmTNZ152cnHDjxg0A1K+Ez+fDwcGBdZ0QgqSkJFhYWKCqqgpt2rRhrltZWaF169ZISEhQOjapVIr4+HgAgL29PfO7IhkM1dyvDkOGDNH3EHQGJ6vhUVVVxZwIXrVqlVrREdSV9enTp3j69Gmj9fSRBc3DwwNffPEF801VbVasWKHz8XA0TFPWXw/HHggYFaDF0Zg2xrKvGTvK5lkTe7a6aM3CK99we/fuzQqL0717d41uuL///ju+/PJLFBQUoLq6Go6Ojqzrtra2TMy33Nxc2Nvbs8II2draAgDy8vKQm5sLAErbaIjc3FwMGDAAAwYMwPvvv8/8Xve1ePFi3LlzB0FBQSguLmYCNPv7+6OgoABbtmxBcnIyIiMjcerUKcTHx2PHjh149uwZq65YLEZgYCDu3r2LQ4cO4cKFC7h69SoiIiKQkZHBqltdXY2AgAA8evQIe/bsweXLlxEXF4eDBw9CJBJh3bp1KC8vZ30mOzsbO3fuxM2bN3H27FkcP34ct2/fxqZNm1BUVMTUnT9/PgoLC7F582akpKTgt99+w+nTp3Hr1i0EBwcjJyeH1a5EIkFgYCBEIhF+/fVXxMbG4sqVK9i9ezceP36MVatWQSaTwd/fHzKZDKtWrcLjx4+xe/duXLlyBbGxsfj1118hEokQGBgIiUTCaj8nJwfBwcG4desWTp8+jd9++w0pKSnYvHkzCgsLWXWLioqwadMm3L59G8ePH8fZs2dx8+ZN7Ny5E9nZ2ay65eXlWLBgAUQiEQ4ePIi4uDhcvnwZe/bswaNHjxAQEIDq6mrWZzIyMhAREYGrV6/iwoULOHToEO7evYvAwECIxWJW3WfPnmHHjh2Ij4/HqVOnEBkZieTkZGzZsgUFBQWsusXFxQgKCsKdO3dw7NgxnDt3Djdv3kRoaCiePHnCqltRUYG1a9fi/v37OHDgAOLi4nDp0iXs3bsX6enpWL16NaqqqlifyczMxNKlS3Ht2jXExMTg8OHDSE1Nxfr161FaWsqqm5eXh+3btyMxMRFRUVE4efIkEhMTsW3bNuTn57PqlpSUYMOGDbhz5w6OHj2K6OhoXL9+HWFhYfXGLZVKsWbNGjx48AD79u1jfFD37duHBw8eYM2aNZBKpVi3bh2WL1+OYcOG4dmzZwgLC8P169cRHR2No0eP4s6dO9iwYQNKSkpY7efn52Pbtm1ITEzEd999h6ioKCQmJmL79u3Iy8tj1S0tLcX69euRmpqKw4cPIyYmBteuXcOnn37a4HNe+yXfV3TJ1q1bcebMGYXXLl68qOPRcCjj4MGD+h5Ci4Gba92gbJ4FAgGWL1+O5cuX6zy1sNYST9y+fRsJCQn1LK4AcOjQIXz88cfN7uP48eP4448/sGHDBuTl5aFdu3ZYsWIFK8vH9OnTceLECZSWluK9995DYmIiKzBxTEwMRo8ejcOHDwMAPvroI8TExGDUqFFMHRcXF/Tr1w9RUVH1xiAPeOzk5MT8gamqqmowqoOpWXiVyWpqcLKaJurKqqqFd8yYMcjNzdVp4oSxY8fiwYMH6NixI6u8uroaycnJeP78uU7GoQlMPfFES3rW9A0317pB1/Os6h6htRF9/fXXePDgAcLDw1nl8g23uQrv8+fPsXfvXsYfuE2bNrCwsEBRURGrXmlpKdq1aweAKpt//PFHvesA0K5dO+YGKWujIQQCAeP76+/vj2+//VZNyYyL1atXc7KaIJysjaPqP6+6tmIAQIcOHfDs2TO4uLiw/vBUV1fjwYMHOh8PR8O0pGdN33BzrRsMdZ61pvBqc8Otrq7G119/jaCgICb7EY/HQ9++fet9fZidnY2BAwcCANzd3RESEgKxWMxkdMrOzoa5uTn69+8PqVQKgUDAakMsFqO4uJhpQxUM8UZrC05W08RYZG0oxW9TMBZZm8KiRYvQunVr9OhR//R+bGysHkbE0RCmuP4MFW6udYOyedbEnq0uWvPhXbRoEQ4cOIA9e/YgPDycee3evRu7du1qVtt+fn5YsGABXFxcmLLc3FzMmDED165dY8qqqqrwzz//sMKYCQQCXL9+namTnJyM0aNHw9bWFo6Ojhg7diyrjZSUFFhYWNRLTqGM2i4Vpg4nq2liLLKKxWIIhUIIhUK101Qai6xNoX///gqVXQAYOXKkjkfDoQxTXH+GCjfXukHZPGtiz1YXrSm8PXr0wObNm5kICaWlpdiyZQsuX77crA13xYoVkMlkyMnJwdmzZxEVFYWvv/4af/31F7y8vEAIYSIkHDt2DC+99BITyqxdu3ZYsGABjh8/DgAoKSnBmTNn8OOPPzLtf/vtt7hw4QJzI3bt2oXPP/8cnTp1UnmMc+bMUVs+Y4OT1TThZDVuSkpKsHjxYoX7L4dhYYrrz1Dh5lo3GOw8Ey3xySefEBsbG3L06FFW+aRJk8ixY8fUanPdunUEQL2Xg4MDqaysJIQQcufOHTJ58mSydOlSMnfuXJKXl8dqo7KykixatIh89tlnZMaMGeT8+fP1+jl+/DiZMmUKWbRoEVmxYgWprq5ucEwuLi4EAHFxcWHKwsLC1JLPGOFkNU2MRVaZTEZKS0tJaWkpkclkarWhbVkV7RHaRhv7r77Qx/zpEmN51kwBbq51g7J51sSeXRdV9wit+fBWVFQgNzeX8ZWVM3HiRCxfvhwffvhhk9tcunQpli5dqrSOm5sbE3FBEQKBAJs2bVLaxgcffIAPPvigyeOrPYaWAieraWIssvJ4PNjY2DSrDWORtSloY//l0A6muP4MFW6udYOyedbEnq0uWnNp6Ny5c73NFgBu3rxpkqFlalNSUqLvIegMTlbThJPVuGnJ+6+xYYrrz1Dh5lo3GOo8a03htbe3h7+/P548eYKKigqkpKRg4cKF2LRpEyZMmKCtbg2CwsJCfQ9BZ3CymibGImtlZSVWrFiBFStWoLKyUq02jEXWptCS919jwxTXn6HCzbVuUDbPmtiz1UVrLg3fffcdFixYgM6dOzNlhBBMnjwZ27Zt01a3BkHfvn31PQSdwclqmhiLrFKpFD/99BMAYPny5UyYwqZgLLI2hZa8/xobprj+DBVurnWDsnnWxJ6tLlpTeM3MzLBjxw74+fnhr7/+gqWlJV5++WV0795dW10aDGfOnEHv3r31PQyd0CJlFYmAsDAgPR1wdQU8PYGePfU9PI1iLPfV3Nwcn3/+OfO7OhiLrMpYtWoVPvroI7z44osAavbfZcuW4datWy1q/zU2TGH9GQvcXOsGZfOsiT1bXTSWWrjuhttSUJTSrrS0FEKhUM8j0w0tTtbDh4F58wA7O8DdHUhKAoqKgJAQwFBDsahBi7uvWpRVF6lxRSIRDh8+jNTUVLz44ov46KOP0KtXL630pWtMPbVwS3rW9A0317pB1/Os6h6hMR/ejz/+GEeOHMGsWbPg7++Pu3fvaqppo2PDhg36HoLOaEmy7vrf/6iy6+kJZGYCsbH059y5gLc3cO+evoeoMVrSfTUFWXv27Inly5dj9+7dmDJlCo4dO4aZM2fixx9/RGpqqkb7ys7OxqRJk2BnZ4cePXoodZH4z3/+g5UrV7LKCCFYsWIF5s2bh+nTp+PkyZMaHZ+hIMoXwe+8H6YenQq/834Q5YsU1jOF9WcscHOtGwx1njVm4a3NvXv3cPjwYfzzzz/o2bMnPvroI5P9GsHUrQ8ctfDzA4KDgawswMqqplwiAVxcAB8fICBAf+PjMEj0uUfcv38fhw8fxt9//83sxc0NzTR27FgMHDgQPXv2RHh4OC5cuIDdu3dj5syZrHp79uzBrFmz8N1337GU3uXLlyM9PR379++HWCxG7969cezYMbz66qsK+zPGPTY8IRzzTs6DnZUd3Nu7IyknCUXlRQgZH4I5HnP0PTwODpNC5T1CI1F/lXDv3j0SEBBAZsyYQb7//nty584dbXepUxQFPP7xxx/1OCLd0pJkvd23LyEjRii+OGIEIVOm6HZAWsRY7mtpaSmTgKa0tFStNrQtq6EkTrh//z5ZvXo1mTlzptpt3L59mxw+fJh5L5VKSa9evcjQoUNZ9fLz88nHH39MunbtSr777jumPDMzk1hYWJCYmBimzMfHh4wcObLBPg1l/lQlLS+NmH1vRuZFziPiSjEhhBBxpZh4n/AmZt+bEVG+iFXfWJ41U4Cba92gbJ41sWfXRdU9QmthyeS88MILWLZsGfbs2YMZM2YgMjISs2bN0na3euXTTz/V9xB0RkuStduIEdRnVyJhX5BIgMREeoDNRGhJ99UUZH369Gmjdbp3745vvvkGu3fvVrsfR0dHJlU7QA+djBkzBgUFBax63377LX744Yd6n4+MjERlZSX69+/PlA0YMAC///47cnNz1R6XIRGWEAY7KzsEjQmCtcAaAGAtsEbQmCC0tmyN0PhQVn1TWH/GAjfXusFQ51ljCq88Z7syNLHhGgNHjhzR9xB0RkuS9USbNvSAmq9vjdIrkdD3xcWAl5d+B6hBjOW+tmrVCrm5uQqziqmKsciqDF3J4OzsDB6PxyqrqqrCoEGDmPcXL16Es7OzwkNzN27cAJ/Ph4ODA1Pm5OQEQgiSkpKU9i2VShEfH9/oSxXlX5ukF6XDvb07rMytWOXWAmt4dPBAelE6q9wU1p+xwM21blA2z03Zs58+farSMy+VSlUal8YU3oULF+LWrVuaas6oqb35mzotSVa38eNpNIbwcKBTJ2DkSOq7Gx5Oy3v00PcQNYax3Fcej4d27dqhXbt29RQxVTEWWZWxdOlSDBw4EMOGDav3Gj58OMaMGYPPPvsMN2/e1Hjfv//+O7788ksANKj8hg0b8M033yism5ubC3t7e9a9srW1BQDk5eUp7Sc3NxcDBgxo9LV48WLcuXMHQUFBKC4uhr+/PwDA398fBQUF2LJlC5KTkxEZGYlTp04hPj4eO3bswLNnz1h1xWIxAgMDcffuXRw6dAgXLlzA1atXERERgYyMDFbd6upqBAQE4NGjRyjNLMWtzFs4d+EcDh48CJFIhHXr1uF5yXNcS78GVztX+Pv7Izs7Gzt37oStrS3Onj2L48eP4/bt29i0aROKiopY7RcWFmLz5s1ISUnBb7/9htOnT+PWrVsIDg5GTk4Oq65EIkFgYCBEIhF+/fVXxMbG4sqVK9i9ezceP36MVatWQSaTwd/fHzKZDKtWrcLjx4+xe/duXLlyBbGxsfj1118hEokQGBgIiUTCaj8nJwfBwcG4desWTp8+jd9++w0pKSnYvHkzCgsLWXWLioqwadMm3L59G8ePH8fZs2dx8+ZN7Ny5E9nZ2ay65eXlWLduHUQiEQ4ePIi4uDhcvnwZe/bswaNHjxAQEIDq6mrWZzIyMhAREYGrV6/iwoULOHToEO7evYvAwECIxWJW3WfPniEzMxPx8fE4deoUIiMjkZycjC1btqCgoIBVt7i4GEFBQbhz5w6OHTuGc+fO4ebNmwgNDcWTJ09YdSsqKrB27Vrcv38fBw4cQFxcHC5duoS9e/ciPT0dq1evRlVVFeszmZmZCA8Px7Vr1xATE8NEWFm/fj1KS0tZdfPy8rB9+3YkJiYiKioKJ0+eRGJiIrZt24b8/HxW3ZKSEmzYsAF37tzB0aNHER0djevXryMsLKzeuKVSKdasWYMHDx5g3759uHjxIi5evIh9+/bhwYMHWLNmDaRSKeszT548QVhYGK5fv47o6GgcPXoUd+7cwYYNG1BSUsLUTUlJQX5+PrZt24bExEScPHkSUVFRSExMxI4dO8Dj8Zif/v7+KC0txfr165GamorDhw8jJiYG165dw6effqrSM6/qt0MaO7Q2YMAADB48GPfu3UPfvn0xadIkvP7665po2qBR5CwdFRWF9957T88j0w0tUtZ794DQ0Jo4vF5eJqXsAi30vmoJXRy6sra2Rr9+/WBpaam0nkQiwcKFC+sdMFOX48eP448//mBOZf/444946623MHToUACAq6sr5syZwxxae++995CYmMiah5iYGIwePRqHDx/G5MmT6/Uhnz8nJyecOXOm0TE5OzvD2dm5+cKpiShfBLctbpjrMZdxa5BIJfA944vwxHCkLkpFD8ea/aIlPWv6hptr3aCpeX769KlK39iMGTMGubm5je6xGov6+/PPP2PEiBEAwPxX5O/vj27dumHixIkYPny42hYYY0ND/0MYBS1S1h49TD4ag7Hc18rKSqxbtw4A8NVXX6mVtcdYZFXGTz/9hC+++KLReqWlpZg9e7ZGFN7nz59j7969OHDgAAAgLS0NOTk5jLKrCGdnZ/zxxx/1xgQA7dq1U9qfQCBg+f4aKj3b9ETI+BB4R3rjWOoxuLd3R2J2IoorihEyPoSl7AKmsf6MBW6udYOyeW7Knq3qP68CgUDlgWmV9PR08ssvv5AJEyYQb29vcubMGVJZWantbnWGotOBCQkJ+huQjuFkNU2MRVZNnPjVtqy6iDLw9OnTRutkZ2eTtm3bko4dOza7v6qqKuLt7U0yMzOZspUrVzL3QtGLEEI2bdpEAJCysjLmc1u3biXm5uakuLhYYV/GFqVBjihfRJbFLCNTjkwhy2KW1YvOIMdYnjVTgJtr3aBsnk02SgMhBOnp6Xjw4AFu3LiB0NBQTJw4ET4+PtrsVu/8+eef+h6CzuBkNU2MRVZzc3N4e3vD29tb7TSVxiKrMjp06MB6L5PJ6tWxs7ODp6enwugJTcXPzw8LFiyAi4sLUzZ37lwkJCSwXs7OzvDx8UFCQgIA4JNPPoFAIMD169eZzyUnJ2P06NGML6+p0MOxBwJGBeDApAMIGBVQz7IrxxTWn7HAzbVuUDbPmtiz1UVjPrznzp3DO++8A5lMht9//x1HjhzBb7/9htzcXFhZWWHMmDH46KOP8N5778HGxkYTXRoEivzz8vPz0aZNGz2PTDdwspomnKyaQx+JEyIiIjCngVTXixcvblYmpBUrVqCiogKjRo0CQKM0XLx4EW+99RbGjh3LqlvXh1fev0wmQ1BQEEpKStC3b18cO3asQXcFY0w80RRa0rOmb7i51g26nmedpxZesGABPvzwQzg5OWH06NHYu3cvhg0bhoMHD+LZs2c4cuQIPvnkE5NSdhtCWapNU4OT1TThZDVuQkNDUV1dzSqTSqVYtGgRNm3apHa7P//8M3766ScEBgZizJgxGDNmDN5//32EhITgP//5j0ptrFu3DoQQ+Pr6YsGCBQgNDTUK31xtYYrrz1Dh5lo3GOo8a8zCy+fzYW1tjTFjxuD111/H5cuXIRQKMXHiRIwbNw5WVlaNN2KEmLr1gYODo3noY48YNGgQXn75ZezcuRN8Ph/379/HJ598gtTUVLz44ouIj4/XyTg0AbfHcnBwKEPnFt53330Xjx8/xpEjR/DVV1/hxIkTCAoKwvPnzzFt2jTMnDkTx44dQ3l5uaa6NFjksehaApyspomxyFpWVgYbGxvY2NigrKxMrTaMRdamcP78ecydOxfz5s3Dnj170K9fPxBCkJCQUC9KAgdFlC+C33k/TD06FX7n/SDKF+mkX1Ncf4YKN9e6Qdk8a2LPVheNWXjv3LmDl156qV55dXU1zp8/j+3btyMyMhKtWrXC9OnTsX37dk10q3cU/WdRUlJicgcwGoKT1TQxFlnLysogFAoB0PBW6rhMaVtWfVooL1++jHHjxsHb2xtr1qyBubk5Dh06hI8//lin42gOupi/8IRwzDs5D3ZWdnBv746knCQUlRchZHwI5njM0UqfcozlWTMFuLnWDcrmWRN7dl10buGtnSqyqqoKZ86cgZeXF9q3b4+xY8ciNjYW06ZNw/79+xEUFKSpbg2S0NDQxiuZCJysaiASAX5+wNSp9KdIN5akpmAs99Xa2hoPHz7Ew4cPYW1trVYbxiKrMsaOHYuRI0fWe/3f//0funbtioSEBIwePRrDhw83+Sg5TUWUL8K8k/Pg2c8TmV9kInZ2LDK/yMRcj7nwjvTGvYJ7Wu3fFNafscDNtW5QNs+a2LPVRWMxIZYuXYrx48fjzJkziIyMRFFREWxsbPD+++/j448/xrvvvttoFiBTYfTo0foegs7gZG0i4eHAvHmAnR3g7g5ERwPr1tHUxA2cqtcHxnJf+Xw+XF1dm9WGsciqDAcHB2RmZsLV1RV8PtuO0bVrV+b36upqPHz4UNfDM2jCEsJgZ2WHoDFBsDKnZ02sBdYIGhOEo/8cRWh8KAJGaS/RjCmsP2OBm2vdoGyeNbFnq4vGFN4DBw7g4MGDaNWqFcaNG4ePP/4YY8eONdnDasr4559/FLp3mCKcrE1AJKLKrqcnsHEjYG0NSCSAry/g7Q0MGWIwKYq5+2pcLFiwAC+99BLrm7aGiIyM1MGIjIf0onS4t3dnlF051gJreHTwQHpRulb7N4X1Zyxwc60bDHWeNebS0K1bNxw4cAC5ubk4ePAgJk6c2CKVXQAtykeIk7UJhIVRy25QEFV2AfozKAho3RowoK/bjOW+SqVSbNiwARs2bIBUKlWrDWORVRlvvvmmSsouAIwfP17LozEuXO1ckZSTBIlUwiqXSCVIzE6Eq52rVvs3hfVnLHBzrRuUzbMm9mx10ZjCu2nTJnz88cc698kwROzs7PQ9BJ3BydoE0tOpG0PdfwStrQEPD3rdQDCW+1pZWYkvvvgCX3zxBSorK9Vqw1hk5dAOnv08UVReBN8zvozSK5FK4HvGF8UVxfDq76XV/rn1pzu4udYNyuZZE3u2umhM4a2bYacl8/fff+t7CDrDpGWtc7gsIza2ee25ugJJSdSNoTYSCZCYSK8bCMZyX83MzDBt2jRMmzYNZmZmarVhLLJyaIeebXoiZHwIwhPD0Wl9J4zcNRIuv7ggPDEcIeNDGkwJrCm49ac7uLnWDcrmWRN7trpoLCxZS0VROIwnT56gY8eOeh6ZbjBZWeseLktKAikqAq85h8tEIsDNDZg7t8atQe7DGx4OpKYajA+vyd5XBWhbVi5xQvPQ1fzdK7iH0PhQpBelw9XOFV79vbSu7AIt61nTN9xc6wZdz7POw5Jx1BAWFqbvIegMk5S19uGyzEwgNhbIzESihwc9XHZPzTBFPXvSaAzh4UCnTsDIkYCLC30fEmIwyi5gove1AVqSrACQlJSEjIwMfQ/D4Ojh2AMBowJwYNIBBIwK0ImyC7S89adPuLnWDYY6z5yFt5lw1hsTxM8PCA4GsrLY/rYSCVVQfXyAgGaEKbp3jx5QS0+nbgxeXgal7HJoFkPaIz766CNcvXoVS5YsgUwmw9KlS/U6HlUwpPnj4OAwPAzawmvqFoaWlL7QJGVt4HCZf2CgZg6X9ehBFeYDB+hPA1R2jeW+lpWVoV27dmjXrh2XWlgFMjIyYGlpiS+//BJTp05FVFSUvofU4mlJ60/fcHOtGxpLLdzcPVtddG7hNUYLgzIU/WchlUohEAj0PDLdYJKyyi28mZk14cMASOPjIXjzTaBbN2DCBOry0LOnHgeqPYzlvmoiTaW2ZTUkC2VlZSUIIUwSIHlee0PGkOZPG9Ref6J8EcISwhg/Ys9+nujZxjT3GH1gLPuasaNsnk0itbCqtAQLwy+//KLvIegMk5TV0xMoKqKHyeQRFXbsgPmAAUB5OY2ZGxxMD6BFROh1qNrCWO6rtbU1bt++jdu3b6sdEtFYZNUEYrEYtW0chq7stgTk6y88IRxuW9wQHB+MnNIcBMcHw22LGyISI/Q7QBOiJT3r+kTZPGtiz1YXnVt4jdHCoAxF/1k8ePAA3bt31/PIdIPJyhoRQQ+o2dkBL74IXLsGwuOBt307MH++wUZX0BQme18VoG1ZdWGhfPz4caN1ZDIZ/vzzTxQXF8PHx0cr49AGxmDhbY5l9sGDB6i2q4bbFjd49vPExnc3wlpgzcQCDk8MR+qiVJ0dojNlWtK+pk90Pc96t/CWlJRg/vz5mD17NgAgPz8fa9euxeXLlxllFzBNC8Off/6p7yHoDJOVdc4cqsjOn0+tvVZWiPrpJ/oeMNgMaZrCZO+rAkxB1qFDh6Jbt25KXy+88AJmzJiBoKAgfQ/XpGiuZfbPP/9EWEIY7KzsEDQmCNYCavWyFlgjaEwQWlu2Rmi86e0x+sAUnnVjwFDn2VxbDX/++ec4deoUhg0bBgBo06YNvv76a0yaNAlPnz7F9OnTtdW13uncubO+h6AzDFZWkYim8pVHQlDH31Z+uCw9HejQAXaDB7OvG2CGNE1hsPe1DlKpFBH/upXMmTNHLf88Y5FVGZ9++iksLS3Rr18/8Hg8rF+/Hs7Ozvjwww9ZKd7Pnj0LFxcXPY7UtBDlizDv5DyFllmvE164lnkNRRVFSq2+nTt3RtSzKLi3d4eVOfugrLXAGh4dPJBelK4jiUwbU3jWjQFl86yJPVtdtGbhTUhIwN27d/Hqq6+yykePHo3vvvtOW91ycFA3Azc36mebk9N8f9t/M6TxKyrY5QaYIa2lUVlZifnz52P+/Pk6T1NpSMybNw+zZs3CiBEj8NZbb8HJyQnbt2/HO++8g+HDhzOvH374AQcPHtT3cE2Ghiyzr3Z8FTLIsCtpl0pWX1c7VyTlJDGpjeVIpBIkZifC1c6VVS7KF8HvvB+mHp0Kv/N+EOWLtCEeB4fG0eeerTWFd/DgwbC3t69XfunSJeTm5mqrW4PAlEOu1cXgZG0gaQTmzlU/acS/h9g6/PRTzSE2uQ9vcTGNo2tiGNx9bQAzMzNMmDABEyZMUDtNpbHIqoy2bduibdu2zPuG5iI+Ph63bt3S1bBMnvSi9HqWWVG+CAtPL4Sz0BnvvfgeYmfHIvOLTMz1mAvvSG/cK2DvQRkZGfDs54mi8iL4nvFllF65pbi4ohhe/Wv2GO5wm/qYwrNuDCibZ03s2eqiNYXXyckJT58+BY/HAwAUFhbiq6++wv79+/Hhhx82u/3y8nJs3LgRgwYNqndt3759mDZtGjw9PTFp0iQ8e/aMdb2iogKffvopFi1ahClTpuDatWv12jh06BCmTp2K+fPnNzl23xtvvNE0YYwYg5M1LIweNJOn7gWa72/7b4a0Fy5dMvgMaZrC4O5rA1hZWeG3337Db7/9xvrqvikYi6xNoW3btli0aBH++ecfiMViZGVlYdeuXZg4caLCPZNDPRRZZuVWX4lUgh4OdG9Q5o/7xhtvoGebnggZH4LwxHB0Wt8JI3eNhMsvLghPDEfI+BDmwFptF4rMLzIbVaY52Jjis26IKJtnTezZakO0hEQiIZ999hlxdXUlbm5uxNramvB4PDJx4kRSVFTUrLalUikJCwsjL730EunatSvrWnR0NHF3dyeVlZWEEEL+97//kUGDBpGqqiqmztSpU4mfnx8hhJAnT54QJycn8ujRI+b6mTNnyAsvvEDKy8sJIYS8//77ZMOGDQrH4uLiQgAQFxcXpmz16tXNks+YMDhZp0whZMQIxddGjKDX1WT70qWELFtG21i2jBCRiF5IS2OXp6Wp3YehYHD3VYtoW1ZFe4S2qa6uJl988QUxMzMjfD6f8Pl8wuPxSO/evYlIvm6NBH3Mn6qk5aURs+/NiPcJbyKuFBNCCPno0EfE+WdnYva9GRHls+d6RMQIMuUIew+qvf5E+SKyLGYZmXJkClkWs6ze55fFLCOOaxyJRCphlYsrxcRhtQNZFrNMk+KZHC1pX9Mnup5nVfcIrSm8ch49ekROnz5Njh8/Tu7evavRtr/55pt6Cu+bb75JfvjhB+Z9bm4u4fP55NdffyWEEHLjxg0CgLXpv/POO8TT05N5//LLL5MVK1Yw7w8cOEBat25NSktL641B0UTLle2WgMHJumwZIY6OhIjF7HKxmBAHB3pdTRTKGhZGiJkZ7XPECPrTzIyQ8HC1+zEEDO6+ahFty6pPhe3Bgwdk69atZN26dSQyMpIkJSWR6upqnY+jORiywksIIeEJ4cTsezPiuMaRjIgYQax+tCJYCbLjrx2seg0ppU1Zf1OOTCEjIhT/Q69ImeZg05L2NX2i63lWdY/QmkvDuXPnAABdunTBmDFj8MEHH+DFF19ETExMPRcDdalrDq+srMSff/6JNm3aMGXt2rVDjx49cOrUKQDAkSNHYGtrix61voYeMGAADh8+DJlMhn/++Qd///03+vfvz7peXFyMM2fOqDSuNWvWNEcso8LgZFWUNEJD/rb1ZG2Ov7BIRDO6TZ1Kf4oM69CJwd3XBhCLxXB1dYWrqyvEYrFabRiLrE2lrKwMAoEA48aNw8cffwx3d3dkZGRg7ty5+h6aSTHHYw5SF6Vifv/5aC9sj1nus2DGM8PNrJuN+uMCTVt/TT3cxsHGVJ91Q0PZPGtiz1YXrYUlO3HiBN5555165a+99hrGjh2Lq1evarzPoqIiyGSyeofi2rVrxwQjvnHjBkshBqi/cUlJCe7fv48bN24AAKuOk5MTABp5YvLkyQr7lkqliI+PBwCMHTuW+b0uzs7OcHZ2VkM6w+Tbb7/V9xDY/OtvC29v4NgxwN2dRlIoLm62v209WWv7C8v/+bK2psr13r3A+PGKUxCHh1NF2c6Oji86Gli3jo5vzhy1x6dJDO6+NgAhBI8ePWJ+Vwd1ZX369CmePn3aaD2pVKpW+81h8+bNWLx4scI5cXR01Pl4TJ0ejj0QMCqAef9G5zfgHemNY6nH4N7eHYnZiSiuKGb548ppyvrz7OeJdVfXwfeMLxMZQpkyzcHGWPY1Y0fZPGtiz1YXjVp4b9++jSlTpmDkyJGIjIzEyJEj670GDBigtZOS7dq1Q+vWrXHx4kVWuVgshoODAwAgNze33oZva2sLAMjLy2OU5dp1al9viNzcXAwYMKDR1+LFi3Hnzh0EBQWhuLiYORDn7++PgoICbNmyBcnJyYiMjMSpU6cQHx+PHTt24NmzZ6y6YrEYgYGBuHv3Lg4dOoQLFy7g6tWriIiIQEZGBqtudXU1AgIC8OjRI+zZsweXL19GXFwcDh48CJFIhHXr1qG8vJz1mezsbOzcuRM3b97E2bNncfz4cdy+fRubNm1CUVERU3fUqFEoLCzE5s2bkZKSgt9++w2nT5/GrVu3EBwcjJycHFa7EokEgYGBEIlE+PXXXxEbG4srV65g9+7dePz4MVatWgWZTAZ/f3/IZDKsWrUKjx8/xu7du3HlyhXExsbi119/hUgkQmBgICQSCav9nJwcBFdW4vaRI7j/9tvIlEqRO3Ei9qxYgcIPPmDVLSoqwqZNm3D79m0cP34cZ8+exc2bN7Fz505kZ2ez6paXl+Pdd9+FSCTCwYMHERcXh2c3byK7fXs8yslBQEAAqqurcXLiRKBfP1RXVqL62TOUb9oE4uaGO19/jUOHDuHBuXOQeXujatYsrF60CIiNxepFiyCZOhUyLy/8feIETp06hcjISCQnJ2PLli0oKChgjaW4uBhBQUG4c+cOjh07hnPnzuHmzZsIDQ3FkydPWHUrKiqwdu1a3L9/HwcOHEBcXBwuXbqEvXv3Ij09HatXr0ZVVRXrM5mZmZg4cSKuXbuGmJgYHD58GKmpqVi/fj1KS0tZdfPy8rB9+3YkJiYiKioKJ0+eRGJiIrZt24b8/HxW3ZKSEmzYsAF37tzB0aNHER0djevXryMsLKzeuKVSKdasWYMHDx5g3759uHjxIi5evIh9+/bhwYMHWLNmDaRSKQIDA3Hjxg34+PigoKAAYWFhuH79OqKjo3H06FHcuXMHGzZsQElJCav9/Px8bNu2DYmJiZgxYwaioqKQmJiI7du3Iy8vj1W3tLQU69evR2pqKg4fPoyYmBhcu3YNn376qUrPvD6i0oSFhWHbtm04fvw4/vvf/yI2NhYXLlzAzJkzcfnyZZ2Pp6VR1+rrM8AHqYtSMcdjTr26TTkUrerhNg7FNPUAOod6KJtnKysr3LhxAzdu3ND5oTWNpxYuLi7G1KlTcf/+/Xon9Xg8HmxsbODl5QUPD49m97Vy5UpEREQgvVbg/+XLlyMgIABRUVEYN24cYmNj8cEHH2DBggVYvXo1+vTpA3t7e9amv3PnTsyfPx83b95EXFwcvvrqK4hEIsbtQSqVwsLCAgsXLsTmzZtZY5CntHNycmJcHp49e4Z27dopHLOpWXifPHmCjh076nsYOqGerH5+NMZvZia17IpENN7vrFnA8ePAp58C//d/7BTEoaH0M1lZNVZhgLpduLgAPj402YWeadH3VUVUtfCOGTMGubm5Ok2Nu3z5cvz0008AgBUrVsDf3x88Hg8pKSlYu3Yt9uzZo5NxaAJjSC3cHNRZf/cK7iE0PpRJZezV34tTdlWgJe1r+kTX86zqHqFxl4bWrVvj2LFj2L17N+bNm1fvenJyMvr06aPpbhl++OEH8Pl8fPPNN4iIiMBrr72GkpISfPzxxwCowpmdnc36TGlpKQBqIZYro0VFRQqvN4RAIGD8fsPCwhS6c5giZ8+ehaenp76HoRPqyerpSV0RfH2pW4PcxYEQoKSE+gvLQ6IdPUqV3fR06sZQ9z9bA8va1qLvq4qo+s+rLjMJyUlPT8eFCxfQv39/vP/++1i2bBlWrlyJK1eu4OTJkzofD0fDqLP+6rpQcKhGS9rX9ImhzrNWDq1ZWlpi3rx5KCsrQ2ZmJh4/fsy8tH1owtzcHP7+/rh9+zYOHz6MrKwsjBgxglFG3d3d633FmJ2djQ4dOqBLly5wd3cHAFYduYI8cOBAlcbw8ssva0IUo0DrshrQ4a56ssr9hcPDaXzesDDqK7xnD9tfuLYy+2/WNuZAnRwDy9pmLGu4qqoK+/btw759+1BVVaVWG8Yia1Pw9PTEhAkTsHTpUgwaNAjl5eWwsbHBwoULMXz4cH0Pj6MWprj+DBVurnWDsnnWxJ6tLlqL0rB582bY2dmha9eu6NatG/MaP348Tp8+ra1uWaSkpGD//v0IDw9nymbMmIHc3Fw8fPiQKUtOTsbEiRPB4/HQp08fuLu7s5JRJCcno23btnjrrbdU6re2ddjU0aqsmk4RLEdNJVqhrHPmUFeF+fOBNm0Ac3OquNY+fFZbmdViFAlNYixruKKiAjNmzMCMGTNQUTf1s4oYi6xNYdSoUcjLy0NwcDAAYOPGjYiJiUFkZCSOHj2q59Fx1MYU15+hws21blA2z5rYs9VFawqvLg5NSKXSBv9DuH//Pnx8fBATE4OuXbsy5R4eHpgwYQKOHz8OgKbAS0pKgp+fH1Nn5cqVOHHiBGQyGQBg165d+P7772Etz9zVCCUlJeqKZHRoTVZthfxqhhLdoKw9elC/2xMnAKkU2LixYWW2tlW4Y0ega1fA3p66O6xaZTBZ24xlDfP5fIwaNQqjRo0Cn6/edmYssjYVCwsL7N+/H76+vliyZAkqKiowbtw4mJtrLTgPhxqY6vozRLi51g3K5lkTe7baaCsQsDyTGSGELF++nMhkMkIIIcnJyWTGjBnNbv/IkSOkT58+hM/nk/Xr15OcnBxCCCEnTpwgmzZtIitXrmTK6lJcXExmzZpFvvzySzJ9+nQSHx9fr8727dvJrFmzyLx58xrMskaI4oDHf//9dzOlMx60Jqs8gYSEnVGo0QQSAQGE8HiEWFgQ0qULIXZ2NYkg0tLo7/Pm1SSmEIsJ8fam5Y1koFJJ1vBwdiIKBwfFiSiUjdMA4Naw5tBH4oQnT56QPn36EB6PRwQCAenYsSOxsrIigwcPJoWFhTobhyYw9MQTzaUlPWv6hptr3aDredZ7prWpU6eS8+fPk4KCAvLnn3+Sr7/+mojFYrJt2zZiZ2enrW51jqKJXr9+vf4GpGO0Jqs6KYIDAggBCLG0JGT48JqsZ8OG0Z8+Puop0f+isqwikeIUxHKaqXjrAm4Naw59KGyTJ08mkydPJgkJCYyxgRBqEFi4cKHOxqEJTFXhTctLI8tilpF+q/qRZTHLSFqe8ackN3Ra0r6mT3Q9z3pXeGNiYoiNjQ2TstfX15fweDzC5/PJ+PHjtdWtzlE00cXFxXockW7RmqxNTRGclkYtppaWhBQU1NSVK5GtWxPi5tZ0JboWGpNVXeu1DuHWsObQh8L23nvvNXht0aJFOhuHJjBFhTcsPoxJRzwsdBhxXONIzL43I+EJ4fXqyhXjKUemcIpxM2lJ+5o+0fU86z21sKJDE9HR0S3i0MTGjRv1PQSdoTVZm3q4KywMEAiA118H/k0ywoQEa92a+skCzYqQoDFZjSA0mbGsYbFYjJdffhkvv/yy2mkqjUXWpuDm5qawvKKiosEskBy6QZQvwryT8+DZzxOZX2TiP0/+g8wvMjHXYy68I71xr6DmfEJ4QjjctrghOD4YOaU5CI4PhtsWN0QkRuhPACPGFJ91Q0TZPGtiz1YbbWnca9asIUeOHNFW8waDKVofDAZV/WEJodbZLl0UW4WHDydEICBk/nz6eW9v/boSNNV6zdEgpaWlBAABQEpLS/U9HIXoY4/w8/MjW7duJdnZ2UQikZD09HQSERFB+vXrR2bPnq2zcWgCU9tjl8UsI45rHIlEyv6GR1wpJg6rHciyGPr8p+WlEbPvzci8yHlEXClm6nif8CZm35sRUb7+XZ84OJqKNvZsvVt416xZg8TExIaUbG11axC0pPSFWpW1dsiv9u1pFrLUVHbILzmurtTyW1jItgoXFADXrgFVVcBXX7Hj5o4cSbObhYez4+Y2gMZkNYLQZMayhq2srPD777/j999/VztNpbHI2hRWrlyJixcvwtnZGTY2NujevTvmzp2Ldu3acVYuPZNelA739u6wMqfrVb7+rAXW8OjggfSidABAWEIY7KzsEDQmCNYCa6ZO0JggtLZsjdD4UL2M35gxxWfdEGkstXBz92x10XhqYTmHDh2CWCzGHAXKyYYNG7B48WJtdKtzFKW0y8/PR5s2bfQ8Mt1gMLLK0/q++SZw+TJ1YejThyq7lZXA6tXAN9/Quvfu1WQ9c3WlCqYK4cA0KmtEBA2vZmdH3RsSE6myGxKiWKHXMQZzX3WAtmXVZ2rclJQUxMXFgRCCgQMHYtCgQTrtXxOYWmphv/N+CI4PRuYXmbAWWDPrTyKVwOUXF/gM8EHAqABMPToVOaU5iJ0dW6+NkbtGor2wPQ5MOqAHCYyXlrSv6RNdz7Oqe4TWLLwRERFYtWoVBgwYgJEjRzKvN998E8uWLdNWtwbBoUOH9D0EnWEwssrj2165Qn12hUKq7EqlbGUXqImbe+AA/ali7FuNytoU67UeMJj7qgNMWda+ffvis88+g6+vL6Ps1k2tzqFbPPt5oqi8CL5nfCGRSnDo0CFIpBL4nvFFcUUxvPrTb3hc7VyR8DQBS88txdSjU+F33g+ifBEkUgkSsxPhaueqVv+ifBH8zvux2mwpmPKzbkgY6jxrLQK5s7Mz8vLy4ObmxgouLJPJ8PjxY211axC88cYb+h6CzjAYWUUi4O5d4N13gfx8mvVs2jSVrbeqoHFZ5Yq3AWIw97URqqqqEBUVBQB477331EqqYCyyKkPVPbW6uhobN27Ehg0btDsgjgbp2aYnQsaHwDvSG8dSj+EFmxew4pcVKK4oRsj4EPRwpPuVnaUdCisKsfnmZrzu8jqi70dj7ZW1GNJ1CEsxbgrhCeGYd3Ie7Kzs4N7eHdH3o7Hu6jqEjA/BHI85GpbU8DCFZ90YUDbPmtiz1UVrPS1cuBCtWrVC79696107e/astro1CDIyMuDh4aHvYeiEBmUViWjkBLnbgKcntcJqg/BwmpVN7h6QlkZ9ZCdP1mjmMoWy6lJOHWIsa7iiogIffvghAKC0tFStzdNYZFXGsGHDkJGR0Wg9Qgh4PB6n8OqZOR5zMKTLEITGh+LKnSvwGeADr/5ejLIryhfh29+/xfCuw3H58WXcfnYbfZ364lrmNVx8dBGrR61m6qpK7egQG9/dCGuBNWNZ9o70xpAuQ5rcprFhCs+6MaBsnjWxZ6uL1nrq379/g9feffddbXVrEPB4PH0PQWcolLWuAnrmDLBmDTBwIDBihGaVwtopiDdupKG95AfAvL2BIUM0pvTWk7WunNHRwLp19f1wjVApNpY1zOfzMXjwYOZ3dTAWWZWxYMEC8Pl89O/fH2ZmZg3Wq6qqQkhIiA5HxtEQPRx7IGBUAKLKo/DeqPdY1+QH1s7OOIvM4kyExocivSgdnw38DMG3glEoKWxyf7UPwckPzMkPwR395yhC40MRMMowv3HSFKbwrBsDyuZZE3u2unBJ1bVAp06d9D0EnVFP1roK6MGDwMWLgIUFcP06dTvQpFIYFkYVzqCgmri28vi7R4/Sw2kachtgyaqqoq2qUmxgGMsatra2xpUrV5rVhrHIqox58+ahuroabdu2bbSuom/dOPSHovVXO5KDXDGWc+vpLSaSQ1OoGx1CTt3oEKaMKTzrxoCyedbEnq0uulWvWwjXrl3T9xB0Rj1ZayugmZk1SuGTJzQhhJcXMHcuVQrv/RtgPTycRlgIDgZycuhPNzcayaAxdJjEgSVrbTmtrWv6lCe6CA1lK8WZmUBsLP1ZV34DpEWvYSPEwcFBJWUXAFxcXLQ8Go6moGj9udq5IiknCRIpO0lOcw6saaNNY8MUnnVjwFDnmVN4tcDkyZP1PQSdUU/W2gpobaXQ0ZEqoFlZNUrhunU0OoGXFw0hFhfXdKXQ1bVZ2dOaAktWVRRtVZRiA6VFr2EODh2iaP3VjeQAQGEkh6agjTaNDe5Z1w2GOs9aU3jPnTunsDwmJgbPnj3TVrcGwfbt2/U9BJ1RT9baCmhtpbC2AmptTUNx7dwJ7N4NmJnRkFzu7sC4cVThVVUpbCiJw8SJwPPntP033gBiYjQrqyqKthGkEG4IY1nDEokEr732Gl577TVI6t4LFTEWWTlME0XrTx7JITwxHB0DO6JjYEcIA4QISQjB0C5D1UreVLvNTus7YeSukXD5xQXhieGs6BDqYCyhzrhnXTcom2dN7Nlqo5G8bgr473//q7D8+fPn5I033tBWtzrH1NJeNpu0tJr0vUuX0hS6+fns9L3JyYQAhLi7E/Lqq/R3BwdCnJ3p73w+TR88YgRNGdwYdVMQW1jQdgBC7O0J4fHo715e2pGzoTTFXAphrcOlFjZ9WvL8BVwMIFgJgpUg/O/5xOx7M+b38ITwJrWVlpdGlsUsI+P2jSODdg4i4/aNI8tiljU7RXFYfBgx+96MOK5xJCMiRhDHNY7E7HuzJo+Po2Wgz9TCGlV4U1JSyCeffEJGjBhBXFxcyIgRI+q9unfvTjp16qTJbvWKoon+8ccf9Tgi3aJQVrkCamdHlU0LixolViymii5AyKlT9LqlJVWK5Yqguzutb2enulIoVzDfeou23b07bZMQ+rNXL1p+/rzmZK2raDs40Pfh4fS6KkqxgWIsa1gqlZKoqCgSFRVFpFKpWm1oW1Z9KGxnz55VWB4dHU1yc3N1Ng5NYOoK7+IfFpNlMcvIlCNTyLKYZSQtL40QQhVU/ko+4a3kkbm/zSXiSjERV4rJxIMTCVaC8FbyiM9JH6a+MrSllKblpRGz783IvMh5RFxJ9zhxpZh4n/AmZt+bNVuZ1jTGsq8ZO8rmWRN7dl1U3SM0nlq4uLgYU6dOxf379+sFH+bxeLCxsYGXl5fJxMJTlNKutLQUQqFQzyPTDQ3KKk/fGxsL3LxJfVn79aNf9xcWAr16AR98AGzbBpSWUp/doCDq0uDgAERF0SxpaWlNCyv2xhs0GkRBAU0vLKegAGjbFnj9deDPPzUna2Npig08hXBDcGtYc+gjNe6CBQuwdevWeuWFhYUYO3Ysrl69qpNxaAJjSy0syhchLCEM6UXpcLVzhWc/T/RsozjiTN1EEEk5SSgqL0LI+BDczbuLDdc3oJWgFbK+zIKVuRVTX0Zk4PF4sDCzgLRaqjRxhChfBLctbgrj74YnhiN1Uara7gzyNMny8cmpmybZUGhJ+5o+0fU8q7xHaES9rkN5eTkJDg5WeC0pKYlUV1dro1u9oOg/i19++UWPI9ItKskqt75OmUJ/+vhQq+jkydQyWttSam5OiJUVtfwOHNi0waSlEdK6NSECAe0nrY7lw96ekC5dmtZmLdS+r3XlN2DLrhxuDWsOXVkodfUN29OnT8nEiRNJ69atyQsvvEC2bt3Kur5y5Uri5OREnJycyJIlS+pZccrLy4mPjw9ZuHAh+eSTT8iff/6ptD9jsvA2xZIqt44OWjVIoXV03L5xxGmdExkRMYJVf17kPDIsbBhxWudEJh+a3Kg1dVnMMuK4xpFIpBJWubhSTBxWO5BlMeq7Vk05MoUZX11GRIwgU46o4JKmQ1rSvqZPdD3Pqu4RWjm0ZmlpiXnz5qGsrAyZmZl4/Pgx88rIyMDcuXO10a3BMGbMGH0PQXOIRICfHzB1Kv0pYh9GUElWeQrdAwfozyVL6EEzkYhaPD/5hP7s3BmorgamTwdsbYGRI1Ufpzy0WVkZtQzv2MEObVZQQPt0cFAqjzLUvq915ddg9jdtYSxruLq6GjExMYiJiUF1dbVabRiLrI3Rp08fBAcHw9raGkKhEF27dmW9XF1dMXbsWJw8ebJZ/Xh6eqJv377YunUrXF1dsWDBAuzZswcAPazi7OyM6OhoTJkyBYGBgQitc/B07ty5cHR0xObNm7F+/XpMmDDBJNLN185klvlFJmJnxyLzi0zM9ZgL70hv3CtgR5yRJ4LYPmE7rAU0ios8EURry9bIF+ejuKKYCSUmr79m1Bok5ySjuKIYPRx6MPVD4xUf8NVm/F1jC3VmKs+6oaNsnjWxZ6uNtjTuTZs2ETMzM8Ln8+u92rZtq61udY6i/ywOHTqkxxFpkLAwto+qo2ONj2paGiHLlpFHgwcrtqY2htyqC9DDaq1bU6vua6/V+PDWtYT+2ydjKZX3KfeVnTePkJMnaZs9exIyYwYtv3mzxoeXz1csjwqYzH1VAWORVRMHILQtq64tlNr8hu327dvk8OHDzHupVEp69epFhg4dSggh5NatW8w1mUxGunXrRhYuXMiU3bhxgwAgolrP9jvvvEM8PT0b7NNYLLxNtaTKraOK1t+IiBFk3L5xjA/vnN/mkI8OfUSGhw8nc47PIbyVPJZVtyFralpeGhm0cxCx+NGCLDm7hOXvq4qFV37Qra5/ce3rZt+bEe8T3kbhw2ss+5qxo2ye9XloTWthycLCwrBt2zYcP34c//3vfxEbG4sLFy5g5syZuHz5sra6NQjsa/uOGivKkiZ4eQG9ewPBwRCWlTUtUYScOXNoKLKxY4GnT6lfK58PJCTQcF8AUHudKEtOUTve7Xvv0fGJRMC+fYBMBrz2Gs3wxuPRa6omgahj3e5YVtaMCTUujGUN8/l8uLu7w93dXe00lcYiq6po8xs2R0dHTJo0iXlvbm6OMWPGoKCgAAA7pTyPx4ODgwPGjx/PlB05cgS2trboUetbjgEDBuDw4cOQyWRqj8sQaKolVW4dtba1ZpXLraN9nfoidAK12kYkRuDInSP449EfiEiKAAHBOz3eASGkQWtqeEI43La44Z+8fyCtlmLzzc3ovbk3IhIjVIq/K/98cHwwckpzEBwfDLctbohIjGDqaDPUmTYwtWfdUFE2z5rYs9VFa6mF3333XcybNw8AcP36dQwbNgw8Hg9t2rSBv78/8xWYKWJra6vvITSfhlL2+vrSA1fu7sCffyItKQmD3N3rp9RVhR49gA0bgHPnaOKJnj1p2fTpNF2vvD1ClKfxffdddrzbkBCqpH77LVWghULgP/+haX19fYEffqg5ZObrqzgFsYKUwIOLiug1Az5spimMZQ1bW1sjMTGxWW0Yi6xNYfPmzVi8eLHCeK2Ojo5qt+vs7FyvrKqqCoMGDapXnpSUhHfeeQejR49mym7cuIE2bdqw6jk5OaGkpAT3799HTyXpxKVSKeLj41Uao6JxahtXO1dE34+GRCphXBSAGgXWZ4APq75nP0+su7oOOzN34m3p26zDZHJFtIdjDwzpMgQ/X/kZx1KP4Zn4Gfg8Pl51fhXXMq/BbYsb3uz8Zj3FtbZ7xcZ3N+LXv3+Fd6Q3BGYCzD0xF4vPLkZpZWmDSqn885PcJqFz687IKs3C3A5z8bj4MbwjvTGkyxDmc3M85mBIlyEIjQ9FelE6fAb4MGM3NEzxWTdElM1zU/bsp0+f4unTp43Wk0qlKrWnNfU6PT0dFy5cwPPnz/H+++9j2bJlkEgkuHLlSrN9yAydf/75R99DaD7ypAkZGWyf182bAXNz4MUXAWtrKqui7GGN+P4yyBXra9eAw4ep0tmnD7u9xjKW5efXTwLx9tvUituqFVVcAcDJiSZ8qG0l7tePJsGonQSiAet22ptvGnxKYE1hEmtYRUxRVl1+w/b777/jyy+/ZN4XFRVh06ZNGDlyJKKjo5GRkcFcy83Nradwy/845uXlKe0nNzcXAwYMaPS1ePFi3LlzB0FBQSguLoa/vz8AwN/fHwUFBdiyZQuSk5MRGRmJU6dOIT4+Hjt27MCzZ89YdcViMQIDA3H37l0cOnQIFy5cwNWrVxEREYGMjAxW3erqalTeqERReRHGbBqDC39cQFxcHHbv343Zv85GUXkRZrw8g/UZW6ktZtrNxMnMk2i/tj36/twXHdZ1QFhCGIJGBeHg1oMAgINbD2Jen3nIF+fj1bavghCCf3L+gau1K0CAi48vYiQZiR6OPeDv7w+JRIJPd3wKW4EthpYOxZ+X/kTPsp4IcAnA7N6zYQYzuLV1w2e8zzDrlVlYtWoVHj9+jN27d+PKlSuIjY3FV/u/goWZBQ7fOYzwxHBcv30d4UnhOHLnCCzNLPFZ2Ge4desWTp8+jd9++w2SLAlcUl2w7e1tsLlmw4xFvhZu376N48eP4+zZs7h58yZ27tyJ7Oxs1nyUl5dj3bp1EIlEOHjwIOLi4nD58mXs2bMHjx49QkBAAKqrq1mfycjIQEREBK5evYoLFy7g0KFDuHv3LgIDAyEWi1l1nz17hm3btiE+Ph6nTp1CZGQkkpOTsWXLFhQUFLDqFhcXIygoCHfu3MGxY8dw7tw53Lx5E6GhoXjy5AmrbkVFBdauXYv79+/jwIEDiIuLw6VLl7B3716kp6dj9erVqKqqYn0mMzMT4eHhuHbtGmJiYnD48GGkpqZi/fr1KC0tZdXNy8vD9u3bkZiYiKioKJw8eRKJiYnYtm0b8vPzWXVLSkqwYcMG3LlzB0ePHkV0dDSuX7+OsLCweuOWSqVYs2YNHjx4gH379uHixYu4ePEi9u3bhwcPHmDNmjWQSqWszzx58gRhYWG4fv06oqOjcfToUdy5cwcbNmxASUkJU3ft2rXIz8/Htm3bkJiYiJMnTyIqKgqJiYnYvn078vLyWO2WlpZi/fr1SE1NxeHDhxETE4Nr167h008/VemZz83NVbp3MGjEgUIBMTExxMbGhvHN8vX1JTwej/D5fDJ+/HhtdatzFPmOZGRk6HFEGmLZMkJsbOr7vMr9YP+Nj8uSVZ4oQpnvb12mTKF1FCFvr7E648Y1Hu92/nw69rlz2XXmzKHlPj5s2R0dCZGwffEy0tJaTMIIk1jDKqJtWfXhg+rn58f8vnz5ciKTyQghhCQnJ5MZM2ZorJ9jx46Rzz//nFUmlUqJSCQiK1asIGZmZmTIkCHMtZdffpm8+eabrPrBwcEEALl586bCPuTz5+TkRG7dutXo68mTJxqTr6mEJ4SzojQ4rHZoNN7txb8vsvxkFfm91vYPFuWLmPpLzi4hdgF2DfoHK0KV6Anj9o0jWAmF8XWxEmTcvnGNzIRh0pL2NX2iqXl+8uSJSs+8k5OT7hNP1EUikZCqqirmfUxMjEaDDRsCJpt4IjqaKoK9erETOMiV3lOnCCG1ZJUnjZg/v+YAWW3F8qOP6KG0ceNonfnzqSI7aBBNMCEWsw+lLVlSk3hClYxljSWBaIrC24CC/eOPP6qe/c3IMZY1LBaLyfDhw8nw4cOJuO76UBFTTDwxdepUcv78eVJQUED+/PNP8vXXXxOxWEy2bdtG7OzsNNJHQUEBmThxIqmoqGiwzooVKwgAUlhYSAghZNSoUaRPnz6sOr/88gsBQNLT0xW2YSyH1uTUVkhVyWSmyvprqgIrV5DlyqocVUORDdo5iPBW8kiBuIBVnl+WT3greWTQzkGNjtkQMZZ9zdhRNs+a2LPropdMay0RY9uMVUZu4VWkRMrTAiuypspj7Na2jsotvjxejcIMENK7N42NCxDy4os11uSBA2v6GT6cKt+qZCxTFu92yhTanyJ5evdmK7FcSmCjgUstrBhtf8NWVVVFvL29SWZmptJ6CQkJhMfjMfdmyZIlxMnJiVXn66+/Jh06dGCs0HUx2T22CTRVgW1u9IRx+8YR3kqews/zVvKM1sLLoX9MJrVwbYqLi8m8efPIrFmzCCGE5OXlkTVr1pALFy5oq0u9YLIWXrmVU5ES2bs3o7w+7NatRnEcO5YmdujSRXHIsNdeo5+bO5daVs3MCElJoeUATUEsDx8G0AQSAP2Ml5dyC25jyJXYlBS2PCkp9ZXYBlICxw8YYPApgTWFsaxhqVRKDh06RA4dOsSlFq6DNr9h++qrr0h8fDyrLCcnp169P//8kwwYMIB5n5CQQACQBw8eMGXvvvsuWbBgQYN9GbvC21hoL1XWnzoKrDruFXKWxSwjNqtsFH6+lX+rZiWr0CfGsq8ZO42lFm7unl0XvaUWluPp6YlTp05h2LBhOHz4MFM+adIkTJw4EdOnT9dGtzpHUUq7qqoqmJtrLQCGbvDzo4e6MjPpKyyMHuzq1ImWT50KODhA9vAh+CUlwNmzNJWvUEgPuvF49MDZ3bu0/r17QMeOtO3nz6lK6+IC+PjQRBG//AL07QskJ9M6dnb0gNnFi7QujwfExADnzzecxlcZIhENYyZPYVw70kN4OA2R1khKYFJcDJ6BpwTWFCaxhlVE27IaW2rcxlixYgUqKiowatQoAHT+Ll68iLfeegupqan4z3/+g759+6KyshJTpkzB4sWLMWzYMObzH3zwAYYNG4Yvv/wSGRkZeP3113Hjxg106tRJYX/GPH/KUgfLUwGruv4iEiPgHenNtJWYnYjiimKlaYXvFdxjoie42rmyoicoS4EsT0c80W0iutp1RWZJJjrZdsKjokc49s8xJh1xU9IoGwItaV/TJ7qeZ72mFiaEEA8PD/L8+XOyevVqVvn27dvJCy+8oK1udY6i/ywCAgL0OCINIbdyDhtWY1kdPpwQS0tqdf33vm5fsoTtsyv/XK9e1EVh3Dj6OW9vaqkdVMv3q/ahNHt7Ql54gbbt6VljWR02jJBu3er72apDY36+dalj3d62ZIny+VKUFMNIMYk1rCLallUfFkptfcO2bt065uvI2i8HBwdSXFxM3njjDWJlZUXefvtt4u3trTBtcHFxMZk1axb58ssvyfTp0+tZiutiDBZeRVbc2qmAlVllm7L+muof3BCqpEBuzELclDTKhkJL2tf0ia7nWe8uDfKvqOoqvNOnTye2trba6lbnKJrohw8f6m9AqqCqchYQQBVNS0uqeDo4UCVWrgSLROT5f/9b32dXrljyeNQPWO6i0L07VWzFYrY/7JIlNf695uY1bcnrLFlCy93cmi+7Mj/fRmjwvjYlKoWRYPBr+F+qqqrI5cuXyeXLl1lf3zcFbcuqD4Vt7ty5xMnJiUyePJlVPnHiRLJ3716djUMTGLrC25DiN3bvWJUyr+n6WauriKflpZElZ5eQ7hu7E95KHom5F8PUbUjBVlWZNzSMZV8zdpTNsyb27LroPdOak5MTnj59Ch6PBwAoLCzEV199hf379+PDDz/UVrcGgUFnklOWsawuRUXUTeGzzwBbW6BXL2DMGJq5TCgEQkNRmJDATvoA1GRRc3AA5NnJnJxovNzCQmD0aGDBAppdbfp04PFjqhLLg0cTUuNuUFysWReCHj1orN8DB+hPVV0i0MB9VZaRzohj9hr0Gq5FeXk5hgwZgiFDhqC8vFytNoxF1qaQkJCAu3fv4tVXX2WVjx49Gt99952eRmV61E7wkPlFJmJnxyLzi0zM9ZiLM/fOoKdjz0Yzr+l6/YUlhMHOyg5BY4Jw8PZBuG1xQ3hSODrZUpeS0XtHM9nUejj2QMCoAByYdAABowIYd4jabciTbFgLrBE0JgitLVsjND5UpzKpiik+64aIsnnWxJ6tLlpTeL/55hsEBARg27ZteOmll9CxY0cEBgbiww8/xKZNm7TVrUHQtWtXfQ9BMU1VztLTaWKGl16iPrppaYBYTJXmoiLg999h9sIL9ZM+APR9QQFVhnfsoMoun099Yi9fpgp2z57AsGHAsWPUH7e0FKiqArp3p/694eHA1q1AYCAtr+UHWE8uVZJcNBOF97WxpBihhrnxN4bBruE68Hg89OjRAz169GD+uW4qxiJrUxg8eLDC9J6XLl1SPUg7R6MoU/wszS2RlJMEiZS9N9ZNBazt9SfKF8HvvB+mHp0Kv/N+SMlNgXt7d2QUZbCU9T/m/oFhXYehm303eEd6415Bw/+sNzWNsqFgis+6IaJsnjWxZ6uL1hReKysrBAUF4Y8//kBgYCD279+P1NRUHD16FNXV1drq1iAwWPmaqpy5utLUvN7ebCVZJAIsLYEbN5Dfrx9Vfn19a5ReiQT4+GP6u7Mz8PAhVZh9fGiKXwsLeiDNw4OWpabSdMDR0fRwWnY2VaxffRX45htg1y6qLC9dWl+mplism4nC+yrPSGfF3vhhbU3lq53BzYgw2DVch1atWkEkEkEkEqFVq1ZqtWEssjaFlvwNmy5Rqvi190BFVQV8z/gySm/d1MGAdtdfeEI43La4ITg+GDmlOQiOD8Zp0WncyLqBHX/tYCnrEqkEyTnJmOg2sVErraudq0rKvKFhis+6IaJsnjWxZ6uL1hReOa1atULfvn3Rv39/WFlZ4eHDh/jxxx+13a1eUSX3s15oqnLm6UmVWYEAWLOmJrLBN99Qi6utLSwuXqTKang4jeAwciTQti1VYvl8oKKCKqHvvktdIg4fBt58E+jdu75bwahRVCk3M6OK78OHQHk5bSc0tL77gY7dCRTeV1fXhi3ciYn0uhFisGtYC5iirC35GzZdokzxu5t/F2N6jkF4Yjg6re+EkbtGwuUXF4QnhiNkfAjjHqCt9deQu8Vkt8kok5bh0J1D6NOuD6zMrViKuM+rPo1aaT37eaKovKhRZd7QMMVn3RAx2HnWiMewAvbs2UPatWtH+Hw+6yUPfm4qKHKWvnfvnh5HpAR1EioMHFhzoKxuZIMRI0jJW2/Rz40bRyMwvPUWre/mVtNX7SQRtePeNnR4TtWDZQ2kANZWggiF97WBmL31kmIYGQa7hrWAtmXV56GrR48ekdOnT5Pjx4+Tu3fvEkJohjRjwpAPrakSH7exyAraWn+10xHXRlwpJq38WxGsBOGt5JHh4cNZERhUzcbWnDi/+qIl7Wv6RNfzrPdDa5999hnGjBmDqKgoXLhwAbGxsczLVGLwNsTRo0f1PQTFyC22dd0P5IfDvBT8Vz5yJHV38PQE2revcUH45BPg+nXYxMVRC65YTH18//gDaNUKOHSopq9796grBZ8PvP027cvOrmFXBFUPlunYnUDhfe3Zs76FW+5/HBLSpENxhoTBruE6lJeXY9y4cRg3bpzaByCMRVZ1aInfsOmSnm16ImR8iFIrbkMHv+Q0tP7q+t6K8pt2NkGZu8XrnV7HW13fAgBkFGXAq58XUhelYoDzALwR+gYKywvxvPy50j7neMxB6qJUzO8/H+2F7eEzwAepi1IbjAlsCJjys25IKJtnTezZ6qK1xBPu7u44d+4cOnToUO/aw4cP0a1bN210q3MUBTyuqKiApaWlnkfWAAoSKqC4mCpniqIhNJSwYfZs4PBhVE+eDLPdu2vKe/WiiSfGjaPRFs6eBWQyquzKZLRNHo++vLyAjRsbTwLRELWTY8h9kgHaljypRUCAYpnkiTRcXaky37PxYOlK7+u9e9TtQp2kGAaIQa/hWpSVlUEoFAIASktLYWNj0+Q2tC2rPhIn7N27F19++SXy8/NZ5YQQ8Hg8o/JlNIbEE8oSPDSGovWnSsKKhpAngzhx9wQeFj7E4cmHcSXjCjO2aX2nYXjEcPgM8EGvtr2YZBZOrZyQmp8KAOjdtjdyy3JV7tNYMJZ9zdhRNs+a2LProvfEE3/99RcJDg5WeO3AgQPNbl8ikZANGzaQ119/vd61PXv2EF9fX/Ljjz8SLy8vEhcXx7ouk8nI8uXLibe3N5k2bRqJjIys18aFCxfIRx99RBYuXEgWL17cYAo8o0wtrMxlQJGbgaKEDf/G2P3p//6v5rNhYTUxd52da5JUADSOLo9H0wfLy27fZo+rqa4I6rgTNCNmrsHfVw1iLLJWVlaS8PBwEh4eTiorK9VqwxRTC9vb25NZs2aR06dPk99//53ExcWRuLg48vvvv5OZM2fqbByawJBdGjRB3fXXnBi3tWMCD9o5iGAlCFaC2KyyYWIE81byCFaC+Jz0IVOOTCE+J33IJ4c+IbyVPOK+zZ2k5KQo7LOxFMnGgLHsa8aOsnnWxJ5dF52nFh47dmw98/Tjx4/RqVMn8Pk1nhMymQwpKSn1LA9NoaqqCnv27MHPP/+MsrIypNf66jo2NhaBgYE4deoUAPofxMsvv4wrV64wqSuXL1+O9PR07N+/H2KxGL1798axY8eYmJVJSUl45513cPv2bbRt2xa+vr4wMzPD+vXr643FGKwPKhMeTg+Bya2/SUnULSEkBBgyhG3BTEmhbgyxsfSzckvwpEnUnQGgh93ksXUBauVNSgLGj6cH0nx8gO3b2WMYOZK6Thw4oNqYm2Kxlo/R07N5lmUOjiagjz3ClL5hM6k9VgX8zvshOD4YWV9msdwRJFIJXH5xgc8AHwSMqv/NlTwdsGc/T2x8dyMyizPRe0tvyAj9Zu11l9dxN+8uCisKAQD2Vvbo16EfknKS8FzyHK0ErZD3dZ7CPt/o9AbO3T/XZIuzsaUe5jBOVN0jNObD265dO5SXl6Nz587o2rUrunbtiqFDh6Jbt27M+65du6JLly7NNmGbm5tj7ty5eP/99+tdO3HiBCsGnFAohLOzM65fvw4AyMrKQmBgIDw9PQFQH7exY8fim2++YT6zfPlyjBo1Cm3btgUATJs2DZs2bWIp1srw9/dXVzT90VjEA4DtV9u3L5CUhB2LFlHXggkTqIL7ySc1bcq/NpXH2iOE+ttOmkTfx8Wxx6BOZAN5kov589k+xorcM5oZM9co76uacLIaN2FhYTh58qTCa/K9kMMwqLv+1I1xWzcmcFhCGOyt7PHXvL9gZW6F4opifPzyxzDjmcHCzAJeHl5M5IZu9t1QJi3D4jOLWT7D1gJr9GrTC2funVGYXENZvF5FIdHctrgxSS30gSk+64aIoc6zuaYaWrRoEdq1awdXFZQVufW1uVjVPawEoG3btvjll1/w1VdfoVu3bnj+/DkePHiA119/HQAQGRmJyspK9O/fn/nMgAEDEBwcjNzcXFhZWSE6Ohpr1qxhrnt4eIAQgiNHjmCpoliwdZAr00ZFbWVQPq9yZfDoUaoM1vaH9fQE1qzB/K1baUY1c3MaqkyuzJ4+DcycSZNPdOoE9OkDXLtG25k1C/j5Z3pYTSJhW1obOjynDPkht8Zo5iE3o7yvamIsslZXVyMlJQUA0LdvX5iZmTW5DWORVRkNfcO2b98+hd+wTZkyRddD5GiAuuvP1c4V0fejIZFKmGQWQE2MW58BPgrbqasoy98P6DgAb3R6A+2F7eFo7Qg7Kzv0adcHWaVZAKgi3bNNTzwofICIpAgM7jwYZ0VnsebKGgzoOAAJTxNgYWaBoDFBTNvy5BpH/zmK0PjQehbn2iHRNr67kYnz63vGF96R3hjSZUg9H2ddWINN4Vk3BpTNsyb2bHXRmIX3tddeU0nZBYBx48Zpqtt6zJ8/H1ZWVhg6dCj+/PNPeHt7IzQ0lHFnuHHjBvh8PhwcHJjPODk5gRCCpKQkJCQkoKqqCm3atGGuW1lZoXXr1khISFBpDGfOnNGsULpAHWWQx5N749LPVVXVXOvZkyq/hFDF9uWXaTuJiTSdMEDTDHfs2HBkA01nUGtmzFyjvK9qYiyylpeXo1+/fujXr5/aJ36NRVZl6PIbNg7NUnf9qRvjtm5MYPn7AnEBkwwivSgdfZ36IjE7EenP0zH16FT4nPRB9P1oAEBH24745OVPUFxRDAFfgL+e/IVqUo2K6gocvH2Q1Z8yi3Nta3NmcSb8zvvBM9IT9lb2sBHY1EtqoStrsCk868aAsnnWxJ6tLhqz8BoK7du3x/nz5zF69GgMHjwYmzZtYrk+5Obmwt7enpXSztbWFgCQl5cHc3M6JY6Ojqx2bW1tkZeX12C/UqkU8fHxAAALCwvm97o4OzvD2dlZPeG0iasrzXQmt7jKkSuDPnWsCmFhgL09bm/Zgr5JSdSnNyMD6NqVKsfvv08TTABAZSWNplBaWhOpAQCEQuojLBbT9mtHNqjrTxwdDaxb13A0CVXw9KRt+PqyI06oaFl+5ZVX1OvXCDEWWXk8Hjp27Mj8rg7qyvr06VOVAqxLa/uxawl9fMPGoRnqrj95qDPvSG8cSz0G9/buSMxORHFFMSthRV08+3li3dV18D3ji6AxQcz7wWGDUVReBK/+Xtjx1w4c+fsIqkgVErIT8KDwAQrEBSAgsOBbIL0wHZ+e+hTOQmdIqiSoLK+EnaUdiiuKMffEXOxK3IVBnQbBs58nOrXu1KDFWW5dPpBygBVtIvp+NEoqSxCbHsvUVccarKm55tAOyuZZE3u2umg905o+ePbsGUaPHo2XX34ZX3zxBfbt28dc4/F4sK6t0KEmDZ5AIGBugKI6AoGgwT5zc3MxYMAADBgwALNmzWJ+r/tavHgx7ty5g6CgIBQXFzO+Lv7+/igoKMCWLVuQnJyMyMhInDp1CvHx8dixYweePXvGqisWixEYGIi7d+/i0KFDuHDhAq5evYqIiAhkZGSw6lZXVyMgIACPHj3Cnj17cPnyZcTFxeHgwYMQiURYt24dKqZPh6ywEPD1xervvkN2djbCtmzBs6lTISsqQnTnzrh9+zY2bdqEoqIi/H3qFPDii3i0ahUq09Jwq7IShW+/DZKeDgKApKaChIaCAJABQGkpiEwGwudDxuMhe/VqHNm6FU/GjAH56y8cd3TEYwsLrFq1CrK7dyHz9gaZOxdrPvsMjyMisG/NGmSPHQuZlxdObdwIkUiEwMBASCQSlqw5OTkIDg7GrVu3cPr0afz2229ISUnB5s2bUdiuHSLHjwfCwyFu0wZVw4ahvG1bkPBw3Prvf3H23j3cvHkTO3fuRHZ2Nqvd8vJy7NixAyKRCAcPHkRcXBwuX76MPXv24NGjRwgICEB1dTXrMxkZGYiIiMDVq1dx4cIFHDp0CHfv3kVgYCDEYjGr7rNnz7Bjxw7Ex8fj1KlTiIyMRHJyMrZs2YKCggJW3eLiYgQFBeHOnTs4duwYzp07h5s3byI0NBRPnjxh1a2oqMDatWtx//59HDhwAHFxcbh06RL27t2L9PR0rF69GlVVVazPZGZm4uDBg7h27RpiYmJw+PBhpKamYv369SgtLWXVzcvLw/bt25GYmIioqCicPHkSiYmJ2LZtG/Lz81l1S0pKsGHDBty5cwdHjx5FdHQ0rl+/jrCwsHrjlkqlWLNmDR48eIB9+/bh4sWLuHjxIvbt24cHDx5gzZo1kEql+OWXX5CVlYX//ve/KCwsRFhYGK5fv47o6GgcPXoUd+7cwYYNG1BSUsJqPz8/H9u2bUNiYiJOnz6NqKgoJCYmYvv27cjLy2PVLS0txfr165GamorDhw8jJiYG165dw6efftrgc177lZub2+C+oSkM5Rs2jqZTUFBQr0ydGLd1YwL7RPnA0swSd/Pvwlpgjfkn52PbX9tQReg3cdbm1ni53cvM5ytllRjbYyyszK0wpMsQDO40GABQWlkKAnq2Pe5RHDbd2AS3LW54d++7DVqcXe1cEf80vl6mN9EiEQRmAtzMusn4/tb1PQZqXCYaS3HcVBTNNYfmUTbPrVq1QlZWFrKysnSeWlhrcXh1wcqVKxEREcE6TPb3339j8uTJiI+PR0VFBd59913Ex8cjOTkZvXv3xrx583Dw4EGUlJQwnzl+/DgmTpyIuLg4mJubY8iQIThy5Agmyf1RAdjZ2WHixIkIDw9njUF+OtDJyYkx48fGxmLkyJEKx6x3C6+yGLRNiXgwbhxw+jQqbGxgOXAgEB9PrbWurg37wvJ4NE7v8OHAkiW0X0Uxc+XxdbOy2C4WjcXXVRU1Y+YeO3YMEydOVL9fI4KTtXFUtfCOGTMGubm5LSbKgKYx9SgNmn7W6sYEHtV9FM4/OI/0onSkPktFYk4iAMDR2hHu7d3xZ8afKK+mXy0LBULYWtpiWJdhOHTnEHjgQQYZhncdjj8e/QE+jw8ZkUHAF0Aqk2L126vxzZBv6o1BlC9Cr829YGFmgadLnsLB2oGx2oYlhMHW0hb/ffW/CBgVgKlHpyKnNAexs2PrtTNy10i0F7bHgUkqRu1phJa0r+kTXc+zqnuE1lwazp07h3feeadeeUxMDDw8PNCuXTut9Pvzzz/j7bffhrW1NaytrXH69Gm88sor2LVrFwICAuDu7o6QkBCIxWLmv4vs7GyYm5ujf//+kEqlEAgELKuMWCxGcXExBg4c2GC/AoGAOQhnZWWFl156SSvyNYvG3ATmzGGHH6vrZiBHJAL+Ve559vZA//5A9+7Anj01yi6fD1hYULcFuSsIjwc4OwOHD9M+5f3W9RHWdgY1VQ+51aF3797N69eI4GRtHFX/eVX2zRAHh6afNXlmt9q83f1tAMBLW16COd8ciT6J2Ju8F+lF6Xi90+v449EfAABxlRil0lL8eudXAGAsuxZ8CwgFQnRz6Ia/n/0NWwtblEnL8OD5A4Vj6NmmJwa6DMT1rOvosakHyy0jdEIodiftZnx/1T2kpw4taV/TJ4Y6z1pzaThx4oTC8tdeew0TJkzQVrcoKipiZfhwdHTEJ598Atm/vqOffPIJBAIBKzRPcnIyRo8eDVtbWzg6OmLs2LG4du0acz0lJQUWFhYKw6Ap4vz58xqSRoM0Fnbs3r+hZVRJ67t4MT2MZmMDQVYW8MsvVEmu7avo5UUjNFy9WlMmk1Hf2dr93r5d/8BYMw+XaQuDvK9awlhkLS8vx0cffYSPPvpI7QMQxiIrh2mij/XX3aE7AkYF4Ie3fsDlx5cxpPMQAGBi9tZGwBcg5mEMSqWlSMlNASEE5dXlqJZVY2f8zgYPlo1wHQF7K3vMdZ/Lcsv45OVPmEN0gPqH9NSBe9Z1g7J51sSerS4aVXhv376NKVOmYOTIkYiMjMTIkSPrvQYMGICMjAyN9CeVSlFVOzIAaMzc06dPsw6KiEQiJgxPu3btsGDBAhw/fhwAUFJSgjNnzrDyy3/77be4cOECxGIxAGDXrl34/PPPmUgPjTFH3UNV2qRuDFqRCPjhBxopQSCgll5VkFt3nZ2BZ89QGh9P3RPs7akSbG5OLbvyfnbsoJZdeQD8GTPoT3ns2xkz6h8Y8/Sk7hG+vjVKb3PClmkIg7yvWsJYZK2ursaRI0dw5MgRtdPlGousTeHcuXMKy2NiYvDs2TMdj4ZDGbpcf0O7DEWVrAoLTi+ARCpBWEIYWlu2RjcHmoiEh/qHiKQy9qFLPo8PmUyGKlKFTq07NRiL17OfJ0oqSlBUUYTlQ5YDAPwu+OGN0DdYimxd3+ORu0bC5RcXhCeGM4f0RPki+J33Y8UIVgdTfNYNEWXzrIk9W100qvD26dMHwcHBsLa2hlAoZIXD6dq1K1xdXTF27NgGA6I3haNHjyIyMhJPnz7Fhg0bGBeEyZMnY+HChZg2bRrWrl2L7777DgsXLkS/fv2Yz65btw6EEPj6+mLBggUIDQ1lxeV99dVXsXnzZnh5eeGzzz6Do6MjVq9erfLYgoKCmi2fxqntJhAeTjOOBQcD+fk0nNjOndSHF1AcDkxeNmECYGZGIysA2L17N1VC5WHeqqoAR0faj0QCHD9OFWGxGGjTBkhOpnF5x40DSkro+9qhyADq2xsSQsfZqVPDYct0jEHeVy1hLLJaWFhg8+bN2Lx5MywsLNRqw1hkbQr6+oaNo+loe/3VVhYBqtTuStyFTus7ISwxDCWVJdibvBcAdWFwb+8OoUAIgB5sq42AL4CMyDD2xbHggYfM4kwILYQKD5bJFdmwxDC8sv0V/Pznz/gt9Tck5SRBRmS4/PgyU1fZIT1NhiwzxWfdEFE2z5rYs9VFK4fWKioqsHv3bsybN0/h9fz8fFacW2PGaA5UyA+CxcUB/frVpNcFqDLZpQt1L/D3B779lp1euLCQKq3yBBP5+TSL2osvAmlptA0zs5rMagBVWvPy6Gfl11q3BqZMoe3cuwdERQGzZ9dPLyxHzcNlHByGhK72iNu3b8Pf3x+5ublIS0vDiy++WK/Oo0ePUFlZqbFv2XSB0eyxBkh4QjgrLFhSThIKywshIzJYmVuBz+NDLBWDBx66OXTDw+cP8UHvD5AvzsdfT/6CpEoCc745y8prxqOJAraO24pl55fB1tIWgzsPrnewTJQvws9Xf0ZwfDCcWjmhf8f+8Gjvgel9p2Pj9Y0ITwxH6qJUpSHH6qZLrh2yTJXPc7QMdJ5auDaWlpaYN28eCCHIzs7G48ePmdfDhw8NNu2cpjBI+eRuAjNnUsVT/h+Y3E1g717AxgZYvpzt5xsXR5VdAPjjD3rNzo4mkkhLo0cabGwAeXgRIbUMQCQCLC3ptaoqmva3pARYuhT4v/+jLhBSKX3fEKr4E+sQg7yvWoKT1fjQ5TdsHJpDW+uvdnzb2imBPT08YcYzw+xXZmOE6wjwwMNHL32EFx1fBAHBvYJ7uJZ1DRXVFdjx3g7weTVqAh989HXqC+9+3oi8G4kqWRUyijKQ/jwdMfdjGEvyuH3j4LbFDbuTd8Ocb44qUoWY+zHo1bYX+rTvA9/XfSHgCzD+wHilLgqaDllmKs+6oWOo86y1sGQRERH44osvUFxczConhIDH4+ncd0NbKPrPoqCgoF7iCoMgIoIqrGZmwNCh9cOOde0KZGdTxVgeIcHPj/rhAjRqg6cntez+CwHAEwhqDqyNGUOjP1RX035cXIBnz6h7g40NMHCg8nBnBozB3lctYCyyymQy3L9/HwDwwgsvsNLoqoq2ZdW1hdLUvmEzdQuvttaf33k/BMcHI+vLLCYlMACk5KRg4M6B6ObQDRN6TYC9lT1WxK6AwEyAyupK5uCatbk1JFUShW3bCGxQJi1j3lvwLVApq4SNwAZ9nPrgetZ18MDDqx1fhdBCiFPTTjFWWf+R/vg29lvweDw4WjuiSlaFovIihIwPqRdnWNMhy4xlXzN2lM2zJvbsuujVwgsAixcvxocffoiTJ08iNjaW9ZouTy1rohw4oJmYgRpnzhxg/nzqltC2LVVgU1NpuUQCPH1KD5fVDgeWnk5DgcnDgR09Wr/d2tEZCgroITUAcHICBg8GPv8cOH+ephTOzqZ9eHvXZGIzEgz2vmoBY5FVIpHgxRdfxIsvvghJ3ageKmIssqpKS/+GzdjQ1vqTZzurreyuvrQa7tvdUVFdgUdFj7D9r+1YEbsCq0auwqxXZoEQgt5temNAhwGQVEnABx8OVg712i6TljGW375OfVEpq0Q3+24oryqHRwcPOFo7Yrb7bPz15C8kZCcAAILGBMFGYIPlF5ZjlvssWJtZo7t9d7zd7W30ceoDrxNe9Q6/1U2XLEceskwe6UFVTO1ZN1SUzbMm9mx10ZrC2717d6xevRpjx47F8OHDmddbb72FH374QVvdGgRDhw7VfaeKDpopYskSqqDa2VHXgh49aiIgVFVRy2vtRejqSi2yiYnUFWL5cuqqMG0au10ej14fOpRacs3MqHL744/UHeHxY+qP+/Ah9QHetYsenJMflDMC9HJf9YQxyWpnZwc7Ozu1P29MsqpKREQEHB0d4eLigm7dujGvF154gTu4Y2Boa/3VVRZXX1oNv1g/CMwETAKJ4opivNnlTayIXYGv3vwKYRPCICoQ4e+8v2HON4c53xzPy5/DzrL+8yUjMqx+ezVGdx8NHngY32s8Wlu2xsVHF+He3h1bx22FrYUtE3IMAOyt7SEwEyAtPw0l0hKk5qciT5yHjOIMyCDD52c+Z/Wh6ZBlpvisGyKNzXNz92x10ZrCGxISgqOKrIEAbty4oa1uDYL05iZGaCq1oy7k5NCfDSmTyiIg/PQT9bOtHQ5s2jR68KywkLopCATULaG2VdfCArC1pb6+27ZRl4jqampJnjyZHlTz9KRlFhbU/9famsbl9fKqiQFs4Oj8vuoRY5HVxsYGhYWFKCwshI2NjVptGIusTaElf8NmbDR3/TUUsqu2spiSk4LlscthaWaJj1/+GABw0/smPPt54vKjy0ykBXm0hG723WBtbg2pTAp7K3v0d+4PAZ8mUDHnmaOVoBVEn4nwzZBvkFWaBTsrO+SU5cCjgwcAICknCQDg1s4NHYQdEJoQCoc1DsgoyoC0WoorGVcwvOtwPPnyCeNb7Cx0xpl7Z1hWXlVClimbA03PNYdqKJtnTezZ6qK1TGvffvst0tLS8Ouvv7J8NGQyGRITE/Hxxx9rq2u9Y2ZmprvOaieU2LiRKpISCY1+4OkJHDkC9O1Lfwdq0gp7e1MFtbiYnVFN7m5w7FhNemEej9aVp1W+dImWeXlRq21lJX0pIimJvgCq7JaVAbNmAadOAQsWUKX8558bjtRgQOj0vuoZTlbjRv4Nm5OTU71rrnpK3MKhmOasv7pRGKLvR2Pd1XWMP2zI+BB4R3pjbwoNO1ZNqnEg5QBCxoegT/s+CBoThKP/HIWtpS3Si9IhyhchLCEMldWVKKkswSS3Sdjz4R5YC6yx9NxSbLq5CZXVleDL+HCxdQEAuAhdUFRehPat2uPcvXP46KWPEJoQiv/s+Q+uZ12HlbkVXnN5Dbee3AIBAQ882Fna4eyMsyx3C4lUAktzS4TGh7Iyxc3xmIMhXYYw6ZJ9BvjAq78Xo+w2NgeammsO1THUedaahbdDhw7o2LFjvZPCnTp1glB+kt9EUSXdqMaom1ACAA4erPG1jY8HNmygB8169aKKZU4OTe8bGgq88w47AsKcOdSvd/58GlnBxwf44gt6TSajLzkDB+L56NH1xzRpEo3XK5XSPuVfXVy9WpNhLSsL2LqVWoEvXtTGzGgcnd5XPcPJaty05G/YjA11119DURjmesxlkkGwLLYCa5pW+NNERhG0Flijr1NfZJdmo7i8mIl3K3cfOPrPUexJ3gMAmO0xG5XV1LBRWV0J3zO+KBAX4HHxYxAQRKZForiiGF+9+RVWDl+JKxlXAACvOL3CWFxfc34NBASWZpaQn5eXuyiUVJbAo4MHk3K4NvJ0yQcmHUDAqACWZbexOdDEXHM0DUOdZ60pvIsWLcL+/fuxa9cuhIeHM6+9e/fSZAUmzM2bN3XXWe2EEkCNxdfLiyq52dlUqQSolbawEBg9WnFaYTnycGA//AD8+ScQGAjw+dRSLIcQwMcHVrVTBw8ZQpNO7NwJPHhQUyZf/AcO1GRYC21aOBlDQKf3Vc8Yi6wVFRWYM2cO5syZg4qKCrXaMBZZm8K3336LwMBAvPXWW6xMl2+99Rbmz5+v7+Fx1ELd9adqyK4ejj0wodcECPgCSKul2HhtI6PQFogLcC3rGiqrK3Hu/jlGcRzmOgy92vQCDzz4RPlgUMggDI8YzhxUM+OZITQhFG3XtcXhO4dhYWaBh4UPYWVuhfkn52PVpVUAgHdfeBfdHbsziST+mPsHzHnmyBXnwuUXF5aLwtZxW3E3767Sg2h1XRd+vvpzk8KWmeKzbogom2dN7NnqojWXhtqZy+pSO+uZKTJx4kTddebqSsOASSTUwiu3+M6fTxXPzp2pcsvjUaUVoIfaeDyqfB49SpXPgAAgJoYeZHvyhCrJDx9SxVZ+IO3OHeDDD2n2tH+xLi2tGcuNGzQe7wsvUMW6VSvqwjBsGLUaHztGD7F5eFAle8ECelBu2DDdzVcz0Ol91TPGImtVVRV27doFANiyZQssLS2b3IaxyNoUOnTogNLSUnTt2pXlUiaVSnHPSHzmWwrqrj9FURgAqvDVtZR69vPEuqvr8GbnNxGeGI5jqcfQ16kvrmVSZfct17eQnJOMoDFBsDK3gqudK6LvR+PGvBsYGj4UxRXF8Bngg+mvTMeQsCFwa+uGNq3aIF+cjzat2sDF1gVZJVm4lnkNt57egpW5FXq17YUzM87UG/eAjgNwI+sGuth1QZtWbZh2N17bqPQgmiLXheeS5+jVtpdKc9CcueZoGsrmWRN7trpozML75MkTiP9NNwuAFQqnblgcU4/SsEMet1YXyBNKyA+apacDffpQyy1Aldfu3alSOWwYMH489aX186NuBfJwY56e1PJ7/TpVVh88qFF2hw6ldd98kyq7ihYon08PwYnF1Lrs6UnH06kTsGgRrfPwIT0gd+kSzbK2axdtv6HkE6pGntAROr2vesZYZBUIBFi7di3Wrl0LgUCgVhvGImtTaMnfsBkb6q6/poTskh/+upJxBUILIYQWQlzNuIrK6kqsfns1Ogg7sJRn+YG3HX/twMCOA+HewR3/N/z/sPHaRpRWlmLPxD2ImhaFP73/xCS3SQhJCMEp0SkUVRRBLBWjsKIQSTlJCL4VXG9saflpGNNjDG7n3kbsw1hcz7qOYeHD6h1Eq01DrguvtH8FqXmpuJ17u9E5aM5cczQNZfOsiT1bbYiGcHR0JNOnT2fed+vWjfD5/HovHo9H+Hy+prrVOy4uLgQAcXFx0d8gwsMJMTMjxNGRkC5dCOHx6MvRkb6WLqU/7e0JWbaMkGHDCLGwIGTJEkIcHAj55BNCAEJ69yYkP5/WsbcnRCik5UIhIcnJhPD5hAgEtG1nZ9pn7960Trdu9DqfT8icOYRMnEjLJ06k7+VjMjOj5RYWtG54uGKZwsJqZBoxgv40M2u4PgeHgWIQe0QtCgoK9D2EJmFo82copOWlEbPvzYj3CW8irhQTQggRV4qJ9wlvYva9GRHli+p9RpQvIstilpEpR6aQZTHLmDrLYpYRxzWOTDuEEBKeEE7MvjcjvJU80mV9F+Kw2oGYfW9GwhPC642Bt5JH5v42l4grxURcKSYTD04kWAmClSAp2SkKx9bQWBQhH59EKmGVJ2cnE6wEcd/mrvIccJgequ4RGlN4b9y4QTIyMpj369atI6tXryYXLlwgcXFxzOv8+fNkypQpmupW7yia6B9//FH3AxGJqKI6bhxVLHv3pkrl8OFUWZUrnDdvUiW3UydCunenSqSHB732/Dlta8oUqmT6+lLlFCDE3Z0qnc7OVFH9tzy9a1dCzM1r2m/TpuYzHTrU/G5rS4ilJa0zcCAdq6iBzSgtjY5r3jxCxP9uwGIxId7etLyhz2kZvdxXPcHJqjl0obBlZWWRsrIy5v2jR48Uvh48eEAWL16stXFoA1NXeJuz/uRKqeMaRzIiYoRCpVQVGlKePzr0EeGt5JFx+8YpVEqXxSwjVv5WxGG1A5FIJSQtL40si1lGJh+aTMx/MCdYCWLlb9WssRFCyJQjU8iIiBEKr/Xe1JvwVvJUmoOWtK/pE13Ps6p7hNZSCxcWFkIqlaJdu3b1rmVmZqJTp07a6FbnKEppJxaL0apVK/0NKiKCuhXIZDX+t8XF9HeBAKioqMmGFhYGfPcdvf78OS3z86OxfOPigFdeoS4QDYQdIwB4fD7ty9EREAppemEASEigfr2WltSvuLiYthMaqjylsLz/rCx21jeJhLpE+PhQn2Mdo/f7qkOMRVaZTIanT58CoCeD1UlTqW1ZdZEat02bNhgzZgz27qXhp7p3745Hjx7Vq0eMMLW7qacWbu76u1dwjwnZ5WrnygrZ1RQiEiPgHenN+MgmZieiuKIYIeND8GbnNxGWEMb0MbLbSMQ+jMX+2/uRJ87DK06vYP6A+Swf20uPL6FKVgVnoTOGuw5vcGzyUGjytj37eaJnm54AgJj7Mfi/3/8Pt3Nvo0xahiGdh+DNLm8ydSRSCVx+ccHHL30MB2uHRufAWPY1Y0fZPGtiz66LqnuE1hRegAq2b98+3Lx5EwKBAG+//TbGjh2rre70gqKJDgwMxJIlS/Q7sHv3qB/vH3/QrGcDBtCDY8XFQLt2QF4ePaT29tvAG29Q3928PKq0ikQ0ccXUqcC/f0Dr4eICJCcj5d130ffmTRoRIi2NKqPbt9e0UTc+sK8vjeebmloTCq0uU6fS0Gmx9fOnY+RIGi5NDykiDeK+6ghjkbWsrIwJc1haWqpWIHNty6oLhe3mzZtwdnZmDAk///wzqqur8dprr7FiYlZVVSEkJMSoUqyausJrSM+aIuX50qNLLEX2RtYNlEnLYCOwQZtWbfC46DHz+Xn952HjuxsBAB1/6YiSihLIiAxpn6WBEFJPsb38+DKr7aScJBSVFyFkfAguPrqI8MTwemPkgRprfnjrBzwqeoTwxHCkLkpVSck3pLk2ZZTNsyb27LqoukdoLUrD06dPMXr0aPz9998wNzdHu3btsHXrVvTv3x+nT5/WS1o5XfHee+/pewhUmYyLA9asoRbTxESaVILHAwoKqGX37bepYtq1K3DtGs3CdvYs8NprNHbvZ5813H5WFrBxI7p06gQoCkEijxbh60vDm6Wn04gSvr7syBCKqBt5Qo5EQuXw8VFzUpqHQdxXHWFMspqbN28bMyZZG+K1115jvff29m7wG7ZevXrpalgcKmBI608e71ZO7cNiG9/diMziTPTe3Bu92vSCKF+EwZ0GI6MoAwTUbvao8BH+F/s/PCx8iKLyIvDAg62FLT4/8znO3T/HKLZnRGew+spqAIB7e3fs+XAP+rbvy8Tk9TrhBRlk6G7fHQ8LH2Jo16G4+IjGa5f39b+4/4EHHsImhKls0TakuTZlGpvn5u7Z6qK1OLy+vr7o3bs34uPjUVFRgaysLEgkEnzzzTdYsWKFtro1CJLkmcUMgW++oZbXL78EBg8G/vtfal2dM6cmJXFMDI2VW1BA0wa3akUVUzk8HmBvTxXj2vzwA1ofP04jNIhEQO/eNGIEQBVcJycaBaJ2yuN+/aiFVlmKx7qRJ4Aa63BxMXXX0AMGdV+1jLHIamNjA6lUCqlUqralwFhkbQr29vZo06YN9uzZA19fXyxZsgSnT58GAJNxJzMVDHn91Y31G5YQBntreywauAgyyPDb3d/QQdiBqR/9IBqB1wJxLPUYACB0Qijc2rnhzL0z8OznibjZcbA2t0ZxRTFjqU0vTEe/Hf2w+vJq/PDHDyiqKGKU2vG9xsPO0g6XH13GvP7zcGnOJQCAg5UDzHhmICAY0mWIyvIY8lybEsrmWRN7trpoTeEtLy/H4cOH4eHhAZ7cXxTA+PHjWe9NkTZt2uh7CGzkiSQOHKjJqlY7JXFmJnV9mDyZ+ttKJDWhx2xtqaXW25uGK+vTh5bzeACPB0mHDtTH19OTKrXytKWtW1PFetYs2n5sLP05cyYtV2bh79kTCAmhCnmnTtSNwcWFvg8JadgVQssY3H3VIpysxs3Tp0/h7u6O2bNnY/v27Th48CAmTZqEN998E0Xyf0o5DAJDXn91Y/2mF6Wjp2NPLD67GM5CZ7zV9S3kluWywn8JBULYW9qDgODy48tIeJoAS3NLvNrxVfTb0Q+n751GB2EHmPOplW+QyyC82flN+F3ww/Zb25EnzmMU3quZV9HaqjXsre0RNCYIQ7oOgb2VPWwtbTGkyxAI+IJ6ySWUYchzbUoY6jxrTeF1c3NTWF5RUYH4+HhtdWsQWNf+Gt5QqZ2S+OBBaumNja2x4paX0+QTJSVU0U1JoVbXv/+m1/+Nv2BeXk4PopWUKLa+qusirijFsdwyrSeM4r5qCE5W46Ylf8NmbBjy+pPH+k3JSYHfeT8kZSfhryd/wcbCBhKpBNml2eCBx0rwUCotRWFFIfg8PiISI1Apq0S7Vu2w4NQC9HHqAzsLO0zvOx3dHboDAM49OIdLjy+Bz+OjS+su6GbfjWnrZtZNPC15ij7t+sDK3AoF4gIUlRehg00HJOckw9nWWWEq4oYw5Lk2JQx1nrWm8Jqbm2Pbtm3IyclBeXk5Hj16hF27duGNN95Az549tdWtQZCWlqbvITSOPCVxRkaNpTcuDrh/n/r6CoU0C5qcc+fo4bc6CqygsJBag48eBVator65U6fS5BKdO9PkEnJ3CGdnYM8etuuDMhRZpvWIUdxXDWEsslZUVGDhwoVYuHCh2mkqjUXWptCSv2EzNgx1/YnyRSiQFKBAUoBXtr+CrTe3orVla1STahRXFKOoogiJOYmoIlX1PtvaojVkRIZqUo0Owg7IKM4An8dHTlkOiiqLEJYYhtaWrZn6BASWZpZIzk1GWGIYq1wqk+J61nXcy7+HwWGDQUDQplUbFFcUo1BSqDQVcV0Mda5NDWXzrIk9W120pvCuXLkSFy9ehLOzM2xsbNC9e3fMnTsX7dq1w8aNG7XVrUHw9ttv63sIbBRlLHN1BZKSgB07aiy9+/fXhDArK6OfrZ0JxdaWui/ULufzqeLs7w+sWAFs20bdI/75hyrTPB7Qpg2QnU3bXbmS7fpgRBjcfdUixiJrVVUVtm7diq1bt6Kqqv4fXlUwFlmbQkv+hs3YMMT1F54QDrctbjj09yGmrLiSKrlyVwS52wEA8MHHf7r/h3lfUlkCAOjcujNyS3MBANWyamSXZgMAvh3yLVztXVl9SqokjF8vAFib11gJK6or0HNzT9zNvwsLvgWi70fjzc5vokxa1mAqYkUY4lybIsrmWRN7trpoTeG1sLDAgQMHkJycjA0bNmD9+vW4evUqzp07Z9IRGgAweaINAvnBtNoHx9zcqJJbVERTBffpQ+Pd3rtH3RjEYhpL19ERkEpr2iospO4L1tY07m6rViiytaUK7bffAv370zb/jbEHgNbLzgY2bQJmzwb+7//0evCsORjUfdUyxiKrQCDAd999h++++07tNJXGImtTaMnfsBkbhrb+akdm8OrnBUdrR/w17y+4t3fH3by7mOw2maWYAsAHvT/AvYJ7AABbC1vweVS1yCzOhFd/LzhaOUIGGVP/y5gvcfjOYbQybwULvgVTTkDABx888FBRVd/6Z84zRwfbDrAR2OBKxpUGUxE3hKHNtamibJ41sWeri1bj8N6+fRshISG4f/8+LC0tMWTIEHh5ecHW1lZbXeocg44R2Vgs3FWrqMUXAIYNo7F4y8upFVeu6Fpa0jI59vbUNeGVV6glNzeXukAUFNTUs7GhSjPAdoGQW4/HjgVOndK6+BwchoA+9ojKykrMnj0bv/76K+PCQAjBf/7zHxw6dMiojA4GvceaIH7n/RAcH4ysL7Mw98Rc5JTmIHZ2LJPkwWeAD2LTY3Ej6wYAgM/jQ0ZqlFkeeCAg4IEHS3NLPPnyCbpt7IaiiiLYCGzQq20vxD+NBw88CMwEqKxmJzVysHKAjMhQUlnCtCvgC+DZzxMOVo0nl+Boeai6R2jNwrtr1y7069cPmzdvRkpKCh4/foxffvkFbm5u+Oeff7TVrUHg7++v7yFQah9MkzuRW1vT961bU4ttdDQtz8gApk+nv1dWUh9eABg3ju3WUFZGldhffwWys0FkMqr0lpdT9wUHB6rQDh1aY8Xl8ajrw0svAa+/Tvs2QgzmvuoATlbjpiV/w2ZsGNr6qx2ZQX5oTSKVILM4E7aWtth/ez/k3gxmPLMapZRH/07IXR0ICF5p/wq+jvkapZWlGN5lOMqkZUgvTGf8dyurK1muEDzw8LLTyyiuKAYhBIM7DQYAWJpZoqiiCAGjAnBg0gEEjApQS9k1tLk2VQx1nrWm8P7vf//DkCFD8M8//yA9PR03btzA48ePceDAAXz77bfa6tYg8JNbTfWN/GBa7fS8AFV6PTzo9VGj6IGwhw9pSmI5JSVUUT16lO3WIJPRaAnydIA8HlVkAaoIW1sDt2/TlMKzZtHrtrZA27b0EFtamlH67wIGdF91gLHISghBYWEhCgsLoe6XVcYia1ORf8MWHR2Nixcv4tq1aygpKdH3sDjqYGjrr7aS69nPE0XlRXh377votbkXTTJBCBKyEwAA1aQmRbXQUojWFmxjxs2smwhPDEfI+BDsHL8TfPDhYusCiVQC9/bu4IHHytTGAw8ZRRkAgKipUXixzYsAALFU3KTDaQ1haHNtqiibZ03s2eqiNYVXJpNh/fr19fzFhg4davKZftauXavvIVDkB9PkyRvkyDOWubpS14YVK6gbQnXN5oUOHYAJE2hEhdrIFyghwI8/otzKquaAGwA8eUIV3PJy6iZBCHVvKC6myq6R+u8CBnRfdYCxyCoWi+Hg4AAHBweI5W40TcRYZG0KLfkbNmPD0NafXMn1PeOLTq07YdXIVbj4+CJ4POqqUFReBBmR4UXHF5nPmPHMUFRRhOLKYgDA0C5DYc43BwHBRLeJ+OTlTwAAo18YjZTcFEhlUhAQtBK0wt38u4xPsAwyPCp6hJ6OPTHj+AxEJEUw5c8lzxFzPwZ+5/0w9ehU+J33gyhf1CTZDG2uTRVl86yJPVtdtKbwbtiwAZcvX1Z4TVJHAYuKitLWMPTCtGnT9D0ESmMZy95+uyYk2aef0kNqixfTg2vZ2TTNcGoqu02ZjNZLSwO+/RY8D4/6/T54QNuQU1VFFeCUFL0mjmguBnNfdQAnq3HTkr9hMzYMbf31bNMTIeNDEJ4Yjk7rO2HrX1upXy4hGOgyEAteW4DURalI/DQR5jxzCC2EeLHNi+jVphd8BvhA9JkIF+dexNAuQzHQZSCO/XMM7da1Q6/NvXDu/jkA1JKblJOEVzu+ivMzz8O9vTsAoL1Neyaub+2DcfZW9tibshej947GphubkFOag21/bUOvzb0wKGSQysqvoc21qWKo86w1hTcmJgZ79uzB1KlT4enpCU9PT8yePRuvvvoqLl26xJTNnDkTPj4+2hqGXrh48aK+h0BpLGPZhQvUx9fXlx4ik0dokMmoK4JEQg+p2dgwmdXQu3fNATWJBLzk5Bp/XzMz+jMvjx3DF6CH3O7e1WviiOZiMPdVBxiLrK1atUJlZSUqKyvRqlUrtdowFlmbQkv+hs3Y0PT6E+WLmmUFBYA5HnOQuigV8/vPBwB0tuuMtM/ScN37OuM/ay2wRsfWHVFZ/f/snXdYVMfXx7+7y1JEQFBBBBV7sIEQWzQaS2x51cQWSywgijGG2GL0FxMxGkvUqGiiojQbduwFxV5RKWJBUEFBKYrSF9hlz/vHza4sLG3Z7v347AP33rkzc+bODsdzz5xThHvT7uHRD4+w5f+2oIVVCwiEAkSlRqGPQx+c+e4M8oX5qFerHggECyMLfN74cxjxjHD5xWXcfX0X+0ftB5fDRXpeOswMzVDXpC7eFbwDwGyKOzDyAARCAVrXbY0CUQH6N++P3KJcGPIMcfvVbWy5twWO/zgiMCqwQrn08buujVQ0zspYsxVFZQpvdnY20tPTkZKSgoSEBCQkJODly5cwMzODmZmZ9FxiYiJyc3NV1Q2N0LRp08oLqYuKMpYlJgLW1ow/b0ICo8ju2sUovBLXBUlMXiLg00+Bzp2Z8336AN99B8OCAqBhQ0ZxlrhE1Kr1wcfX3Jzx3ZVkaCsPebGCtQyteq4qRldk5XA44PP54PP5CidU0BVZq8PH/IZN11Dm/JPEz/WN8EVabhp8I3yrpAjKo4VVC6zotwLj2o1DblEu7MzsZK4LhAJkCjIhLBbC67QXBEKB9LzXaS9kF2ZjissUhD0Pg4WRBTLyMzDVZSpS5qbgsttlvJ7zGkY8IywMWwgOhwO/oX7gcrgoEhchq5BJTMTj8OA31A9hCWGoY1IHu77ZBR6Hh4VhC9HOuh2uul2FhZEFWlm1QpM6TeB+1B3nn50vVyZ9/K5rIxWNszLWbEUxqLyIYvzwww9YtGgR2rZtW2lZX19fVXVDI6g7mHKlSDKWlcbcnFF+3dyA2bOBjh0ZC2+LFkxMXlNTRiFOSGDK37kD3L3LKLNv3gCHD6PIygpGFy8yFt/PP2fKfPUV0Lw5E/WhZ09g9GgmYoSfn/x+BAQwrhUWFswmu9BQYPVqxgqtRRZhrXuuKoSVVbc5d+4coqKicP36dWmaz+LiYjz87z+e7u7uAAChUIgLFy7g1atXGuvrx46y5l/J+LkbBm6ACd9Eqnx6HPNAj8Y9FIps4N7RHatvrIbXaS/4DPKRqTdPmIcV/Vbg17BfcTj2MJxsnBCVGoXswmxpjNzErESYG5uDy+XCZ5APjA2MEZ8RD/9If5gamqJIUISBuwZiVJtRODP+DMISwphIEADCJoahhVULjD00Fta1rNHVr6s05FlSdhK6+nWFmMSISotCV7uuSHifgP67+sN/mD8mO08uI4tkrCXtS0KcuXd0R8u6bHxqZaGta6rKLLw9evSokrILAB4eHqrqhkZITU3VdBeqBxGj5A4YwBy//G/XbF4e8OIFsHQpc/zJJ4z7g4EB46LQrBkM371jlGIOh7EYd+kC7N/PJJjYsIGxEE+f/iEqRGni4z/4EScnAxcuMD/d3AAPD0bx1hJ07rnWAF2RtaioCD///DN+/vlnFBUVVX6DHHRF1uqgyjdsqampGDFiBCwsLNCiRQts3rxZek0oFGL+/Plo0KABGjRogJ9++qnMxpTCwkJMnz4dM2fOxJgxY3Dr1i2lyKyrKGv++Uf6w8LYQqqUAoAJ3wQ+g3xgbmQOvwg/heot7dPbJ6gP7P62k0Zf+KX7L1L3B5vaNvB09UTszFipwulg4YDU3FS0q98OxgbGUiu0z20fvBO8A4Hw7P0zbAzfiIG7B6J1vdYY2Hwg0vPSsTBsITyPeyI6JRqxGbFwrOcILrhoZNEIlyZdkoZEm9B+Ai67XUbPJj3RtE5TeBzzkCbCKElqaqpSreAs8qloTitjzVYUlVl4SyIQCNC2bVscPHgQLi4uZa5zuSrTuzWCq6urprtQNbKzGSV2507g2DFGkeXxmDBkpqaMwjtyJBOv18CACT+Wl8e4Lowdy2RXk7ySqFWLieWblAT06sVsUMvOZqy0dnZMVAh5vtolYwVLwqdJYgUfOlS+VVgD6MxzVQK6IqtQKMSaNWsAMOnMDQ0NK7mjLLoia3VQ5Rs2d3d3dO7cGcOHD0dAQABmzJiB2rVrY8KECVi2bBkyMjKwfv16XLp0CT4+PsjNzYWf3wdly83NDQ4ODli+fDlSUlLg7OyMO3fuoHHjxtWWUx9Q1vwrGT+3JCZ8Ezg3cEZiVqLCdU92nowejXvAL8IPiVmJ8HT1lEn8IHF/kId7R3esur4Kt1/dxp1XdzD1+FQMaz0Mh2MPgwMOTPmmaG7VHA/SH2C443C4H3UHBxyIIca5Z+ek7g0A8PDNQxAIb/PeYnvEdhhyDVEkLoIBzwACoQD30+5jSscp8Iv0w+rrq2FlYiVjxa3bsi4GHR+kdCs4iywVzWllrNmKohZNUywWIzExEQUlM3bpMUeOHNF0F6qGgwOTNCIqivHxrVuXSTIRHs5kW+vcmbHWrl3LbEI7coRRQGfPZpRdd3ckOTgAn33GuDgMGsTUm5DAWGxjY4Fvv/0QFUJeOLKqxArWEnTmuSoBXZGVz+dj3rx5mDdvnsJpKnVF1uqgqjdsDx8+hLu7O7y9vTF+/HicOXMGrVu3xrZt20BE4PF48PPzw5gxY7BlyxZMmTIFO3bsQGEhkyb2zp07CA4OlrpU2NraomPHjliyZEn1hdQTlDX/SsbPLYlkA1lN49hKlNrqJn5oWbclVvRdgcLiQnTz6wYOh4NT8acAAJ81+gwCkQC7hu+CuZE5zI3MQSC0t2mPpV8sRVZhFox4RlIlnkDggYd8UT42hm9EkbgIn9T7BO8E76R+w56fesLG1AbbIraVseJ6nfJSiRWcRZaK5rQy1mxF0S/Tqpbw448/KnajujduScKWbdjAuCAcPcpkWfvuO8aqGx4uW14sZizAa9Ywlt1atdAoI4NRnE1MGIusqSnjkuDnx4Q9q1Png5Ls51dWtqrECtYSFH6uOoiuyGpoaIjVq1dj9erVClsKdEVWRREIBGjWrBkiIiLkXq/OGzYrKyuMGDFCemxgYIBBgwbh3bt3EAqF+OGHH2TKDxkyBCKRSJrw4uDBgzAzM0OLEqEJXV1dceDAAYjFYnyMKGv+lYyfW94GMmVSnWgQv/T4BSv7rkQxFUMkFkFEInDAwY2kG1jWZxnaWbeDcwNn3Ei6AQOuAVrVbYU8YR4sjCzwY5cfpcr6SMeRmNV1FngcnjSj29N3T3H8yXGpi4VAKEBsRiw62HRA8uxkXJh0AcmzkzHccThixUyYzSWXlsj0VxlWcJYPVDSnlbFmKwqr8KoAibm+WgQEAI6OgK8vkJbG/HR0lM1+pmxKhy3z9GQU1ydPGL/eklZXDoe5JhIxv4tEwObNjOW2Th1Ggf3jD0bhrVePUaRTU5kEFsbGjJK8cWNZ2SqLFaxFSSoUeq46Ciur/qDMN2y2trZldlaLRCJ07doVhoaGqFu3bplrLVq0QL169QAA4eHhZcpYW1sjJycHz549q7BtoVCIiIiISj8pKSk1llOdKGv+VeZrq8xX9Yr4wf7S4xf0atILACAmMTgcDsyNzLHowiL43vNFVGqUNPNWc8vmSMxKhIutC6a5TEPPJj0BAOefn8ck50no2aQnPm3wKQBAJBahVd1WOPPdGXzb9ltMCJkAANg9fDdM+CaIz4jHyP0jceDRAQDAe8F7bL23Vaa/MWkxuJl8E9Gp0QqHcmP5gLLmdEpKSpW+88KS2WArgtSASCSiwMBAevPmDRERvX37Vh3NqgU7OzsCQHZ2dopXEhdHxOMRTZ1KlJ/PnMvPJ/LwYM7Hxyuns+URH0+0YAHRmDHMT0dHIoDI0pKIyyWaMoVo3jzmHEBkaPjh9549iTgcpp+WlsxPgDm3dSsjG5dL1Lr1B1lKyxYQwPxuZUXUu/eHegICVCs3i84jFoupqKiIioqKSCwWa7o7clHKGlEDcnNzicPh0PXr11VSf9u2benhw4dyr3l6etKWLVukx23atCEXFxeZMn5+fgSAbty4IbcOyfhV9TN69Gh6+PAhbdiwgbKysmjp0qVERLR06VLKyMigTZs2UXR0NB09epROnDhB9+7doy1btlB6erpM2by8PFqzZg3FxsbSvn376Pz583T9+nUKCAigly9fypQViUS0fPlySkxMpB07dtDVq1fp4sWLFBwcTHFxcfTXX3+RQCCQuSclJYV8fX0pPDycTp8+TYcPH6aYmBjy8fGhzMxMmbLv37+njRs30v379ykkJIROnjxJd+/epa1bt1JqaqpM2ZhXMdTnzz70VcBXNMxnGO04sYOuXbtGQUFB9OLFC1q2bBkVFxfT0qVLqbi4mJYtW0YvXrygoKAgunbtGoWFhdHevXspLi6O1qxZQ/n5+TL134i9QVxvLn3j/w0dPn6YQkJCKDwynLqt6Ea8JTya9ccsadnMzEzy8fGhmJgY2hS8ibjeXOJ4c6jjio7E9eaSjbcNNVnXhOAN4npzqb53fYI3aFXAKhrnN46M/zAmrjeXLJZbELxR7ofjzSF4gwyXGBLHm0PWS6wpLy+PvlnyDfGW8AjeIJu/bIjrzSV4g9qsbkN9fPoQbwmPvlr1lfT+Ltu6kIm3CfGW8GjcX+Po4cOHdOjQITpz5gyFh4fT9u3b6dWrVzLjUVBQQKtWraKnT5/Snj176OLFi3TlyhXauXMnJSQk0IoVK0goFMrck5SURP7+/nTz5k0KDQ2l/fv30+PHj+nvv/+mnJwcmbJv3ryhzZs3U2RkJB0/fpyOHTtGkZGR9O+//9Lbt29lymZnZ9O6devo4cOHdPDgQTp79izdunWL/Pz8yvS7qKiIVq5cSc+ePaNdu3bR5cuX6fLly7Rr1y569uwZrVy5koqKimTuefXqFfn5+dGtW7fo7NmzdPDgQXr48CGtW7eOsrOzZcq+ffuW/v33X4qMjKRjx47R8ePHpf1+/fo1eXt7k1gspqVLl1JOTg79/fff9PjxY9q/fz+FhobSzZs3aejQodX67le2xnKIVJfMmIiQlpYmsxOvuLgYPj4+WLdunaqaVSv29vZ49eoV7OzskJycDABYtmxZ9bIZLVzIWD1fvZK1qgoEzIYvT0/VbtyKj2c2jyUmMi4EW7YwLg08HhOCjMcDCguZvkleOxYWAiYmiGrdGs5RUUD9+kwCioQE5ufIkcxmOA8P4MABJtpC8+YfZCkt29OnjMuDpA9TpmhdRrZqP1cdRldkzcvLQ+3/Ep/k5ubC1NS02nWoWlZ5a4Q6ycvLg5mZGa5du4bPPvtMqXWHhITg8uXLWL9+fZlrr169wrhx4xAWFgaD/zIvtmvXDnXq1JGJEbxt2zZMmzYNd+7cwaefflqmHsn4WVtb4/Tp05X2ydbWFra2tooLpWZ05bsmYeH5hfCN8MWrOa9kNsgJhALY/W0HT1dPuRvYJPet7LsS009Ol0ZYKAkHHHA4HLg7u2NY62EYsncIWtVthbrGdXHz1U3UNqwNQZEAxWBivi/9YinGtB+DLXe2IORJCBLeJ+Dbtt8i9HkoLk26hI5bO6KddTu8zHqJZ17P0PCvhqhvXh9J2UmwMLJAblEuiqkYHHCw5f+2oLdDb/je88Xhx4eRkJmA0Amh6Nesn+oGU0+paE5XZ81OSUmp0hubQYMGIT09vdI1VmVRGgIDAzF79mxkZ2fLnCcicDgcvVF45VHtMGua3LhVOgbu6dOMiwHARGYoLmb68V9mNRkEAjhFRTG/v3nDfDgcIDeXcWcwNQWuXGHqtbSUlaW0bOXFCtYi9C18XkWwsuoPxsbGCAgIQKtWrQAAGRkZZdwKFOH9+/fYtWsXgoOD5V5fsGABAgMDpcouwCijpUMWScKi1a9fv8L2+Hy+3Cg/uo42zz958WoVjQYhue8Lhy+krgsGXAPU4tdCTmGO1Cd3ed/l+DXsV+yK2QUuh4u4jDgAgIWRBTjgSJXd9tbt4X3ZG2Paj8GaAWuwtM9S2P1tB3Mjc2QVZGFCyASYG5mjVd1WsDCywPxz8yHkCHFq3Cn0COgBx3qOuJ9+HwWiAtyffh/hr8Lh+I8jLIwt0N66PRIyE9B/Z/kxfVnKR1lzuqr/ea3q5jeV+fDOmjUL33zzDY4fP44LFy7IfMaPH1/j+gsKCrBhwwZ07dpV5vzNmzfB4XDKfEqGySAi/Prrr5g6dSrGjx+P48ePl6n/woULGD16NGbOnInZs2dXK5CyvPoqRFMbt+TFwB058sP1evUYhbdNG9n7JD58pf1ruVzAyIi5fuYM44ObmcnI9u6drCxauCmtMqr9XHUYXZG1Vq1aeP/+Pd6/f69wmkpdkbW6EBFSU1Px6tUr9O7dG/n5+UhISMCyZctqXHdxcTHmz58PHx8fuRtPVq9ejUmTJpXJuOTk5IT09HSZc6mpqWjQoMFHG5ZMW+dfeX662QXZCkWDkESRWHltJQgEN2c3ZC/IRurcVNQxroP21u1BICS8T0DszFg0rdMU9WrVg7ONM4x4RujfvD+mfzodX7X8CnWM66B1vdYykRUkCnd2EZP04n7afeQU5eD2q9u4+vIqAqICMMFiAtrZtIOLrQsaWTSCsFgIe3N7GPIMpUk7kmcn49LkS/i88edoall+TF+W8qloTitjzVaYCh0eakDHjh0pLS1N7rWEhIQa1S0UCsnf35/atGlDTZo0kbk2Y8YMmjt3Lm3fvp0CAgIoICCA/u///o9+//13aZmFCxfS2LFjiYgoLy+PGjVqRHfu3JFej4qKIhsbG6nP8Y8//kizZs2S2xd5/nnh4eHVE0jiw+vhoV4f3gULGL9ZgeDDOUdHIgMDIj7/g5+uvE+nTkQcDok5nA/nnJyI7t9n+sznM767HA7zqciHV0eo9nPVYVhZlYcmfHgDAgKoTp06xOVyZT4cDoe4XG6N6//5558pIiJC5pxkvQ8ODiY/Pz+51yIjIwkAPX/+XHpt4MCBNGPGjHLb0rQPtKrRxu9a3Ns44i3h0dRjUym/iPmblF+UTx5HPYi3hEdcby55HPWQey0+Q/6aLqmzzoo6xFvCI4FQIHNfTGoMGfxhQI6bHImIaMG5BWS1yopG7R9FvQN7S+uZd3Yecbw5NPfMXOod2JvGHBwj7YPlSktacG4BERF5HvMk42XGNHDXQOJ4c2jU/lF05eYVaTmnzU7E8eZQnZV1aN7ZeWS1yooEQoFMXXPPzJWpk6VqqHtOV3WNUJlLw/bt23Ho0CF8//33Za6Fh4fDoQaWPQMDA7i5ueHJkyfYu3ev9LxYLEb//v0xbNgwmfLbtm3DN998A4DxK1u7di1OnjwJgPnfxuDBg/HLL78gLCwMAPC///0P/fr1k+4sHjduHHr06IGffvqpSv3OyMionkCSaAkeHsDhw4wLQFTUh8QNqvJlLc+VAgBsbJgQZfn5jItCSTgcJoVw6XPNmwPt2wP//vshyYTED/jJE8bFYdo09cimAqr9XHUYVlbdZtasWRg+fDhGjhwp4yNHRPD3969R3b/++ivEYjHS0tJw5swZiEQiXLlyBV98wbyq3rVrF2bOnIkzZ85ALBbj2bNnyMrKwqJFi+Ds7Ixhw4YhJCQEc+bMQVJSEqKjo7Ft27aaiqyzaOP8K5m1TeK6IIlXe+jxIXRr1A0BUQHlphOWhySKhNtRNwDAwF0DcT/tvvS+5lbNZcpLUhrHZcQhKTtJalF+kfkCBEJiViIiUyIx/dPpMuHX+jbrC8/jnghLCEOBqACJ7xPxxxd/wPuyN04/OQ2z62Z4X/AeWQVZWN53ORZdWITDjw+jvXV7GBsYy9Q1vdN0RKRGsOHKqok2zmlAhT68ixYtQlxcHPbt2ycT51EsFiMqKgqjR4+ucRvGpRQ1LpdbRtlNT09HamoqnJ2dAQDHjh1DUVGRjC+Yq6srfH19kZ6eDmNjY4SGhmLVqlXS687OziAiHDx4EPPmzau0X4LSrglVYfJkoEePDxu3PD1Vv3HLwQEIDWXcC5KTmY1rb98yIceSk5lQZe/eMWWNjJiNanw+8P33wIkTwPPnIB4PHCcnICICOHUK6NOHUWgBoFkzRlmuW5cJSXb+vPpkUwEKPVcdRVdkLSoqwvLlywEw/1FVJK6jrshaHZo1a4aVK1fC2tq6zLWaGBvWrFkjHe+1a9dKz1taWuKrr77CgAEDUFhYKDUoSLh796709507d2LmzJmYO3cu0tLScPLkSdjb2yvcJ11HG+dfZX665kbmiJ0ZW27mtfKY7DwZZ+LPYN+jfXiZ9RJTOk6B56eesDOzw4xTMyASi9CzMROCTKIgTzk6BWKI0dynOQRCAXKKcjDJaRJ2RO8AgXDpxSVs/XsrsguzMclpEgbsGgAxiWHANQCXw0VsRix+u/Qbmlk2Q1JmEvJy8zC4xWBsGLQBLaxaoEHtBnA/6o6EzAT0CuiFmPQYqRJuZ2aHiJQIONZzxNhDY6V+zC3rtlTZ2OsDFc1pZazZiqIyhbdBgwbIzc1FkyZNZBReoVCIp0/V5w9z/PhxDB06VHocHh4OLpcLS0tL6Tlra2sQEaKjo2FoaAiRSCSzqcPY2Bjm5uaIjIwstx1JjMjSv5emQidsdW/ccncHVq8GBg4Erl0DzMw+bFgDgNevZaMyAEza4agoZjOavT04xcXAgwfMtVq1gNu3md85HCaRRc+ewLBhTBKKvn3VJpoqaNny41nkdEVWoVAozdL1888/K7R4KiprVXcQVzlGpBJR1Rs2SYak8qhKrF8zMzMEBQUp1L4+oo3fNQcLB4Q+C4VAKJBmJAM++Ol6unpWmE64Ipb2WYr9j/YjMTMR/lH+uPryKqJTo1FQzMydkW0/7CORpDT+6fRPOP30NIwMjNDJrhOOPTkGDjgY1HIQOOCgdd3WMDYwRkBUgNQ/+J/B/wAAJhyegEOxh/D8/XOMajoKy/9vuYxiPtl5MuzN7dF/Z38k5yTD3dkd0ztNh52ZHQbuGoiswiw8fvsYJnwThD4Lxeobq7F96HZ2I1sFVDSnlbFmK4yqfCru3btHSUlJcq+FhYUppY3FixeX8eEtzZAhQ+jSpUvS48GDB5OVlVWZ/gCgPXv20P79+wkAHTt2TKZMo0aNqH///mXq1/UYkW/mzSMxQGIjI8q0sCDicKgYYM6V+uQ3b07JzZuTGKDi/3x35ZWTfN7b2JCYx6NNsz7EZczPz6c1a9ZQXFwc7d27l8LCwpQaIzI1NZW2bt1Kd+/epZMnT1JISAjdv3+fNm7cSO/fv5cpWzJG5OHDh+n06dMUHh5Ovr6+lJKSIlNWIBDQsGHDKC4ujoKDg+nixYt09epV2rFjByUmJtLy5ctJJBLJ3PPy5UsKCAig69ev0/nz52nfvn0UGxtLa9asoby8PJmy6enptGXLFrp37x6dOHGCjh49StHR0bRp0ybKyMiQKZuVlUUbNmxQaYzIcePG6USMyMWLF9OMGTOoc+fO9Pz5c4ViRE6dOlUaI3Lz5s305s0bmbLqihGpTAYNGkTNmzenXr16Ue/evaWfXr16kYWFhdr6oQz03YfXx8dH010og8Tftrp+ulUlIDKAuN5cMvjDQCaerumfpsRbwqOAyIAy98RnxNOCcwtozMExtODcAorPiCf/CH/iLeGR1SoraryusbSeBmsakOMmR5p2bBrdT71PlistyXipMfVb2a/CPknq6h3YmyxWMLF/ewX0UskY6DMVzemCggKaMWMGzZgxgwoKCpTSXlXXCJXG4RWLxdi9ezfu3LkDPp+Pvn37YvDgwUqr39vbG4GBgUgsJ2xXfn4+PvnkEyQkJIDH4wEA/u///g9RUVEysdrOnTuH/v3748ABJhPLqFGjcO7cOfTr9yH+np2dHTp27IgTJ07ItCEvRmROTg7MzMzk9knrYkQuXMhkTJs6Fdi/nwk/9uYN42+bm8uEK8vLY9wcAMDWFihh1RK1aAGDp08Z625+PnOyXTvg0SPGOvzzz8Bff8m2WTrur7s748es5WRlZcHCwkLT3VALrKyVo+wYkcrE3d0dT58+RdOmTcu8Ybt06ZJG4gEriqbjGKsabf2uBUYFwuOYByyMLcr46SrDunn++Xn039kfTS2b4pvW30itql6nvRAQFYDYmbEVukjEZ8TD8R9HuHd0x4aBG/BF0BcIfxUuvW7ANYBIzKQwbl2vNd4J3uFzu89xcOzBcut8+u4pVl9fjasvryI9Lx05RTm4N/Ue2tm0k5apLN4wi/rndFXXCJW5NKSkpKB///54+PAhDAwMUL9+ffz7779wcXHBqVOn1DIYoaGh6Nevn1TZBRiF8/LlyzLlSsaBlMSMzCr5av+/MhXFiSwZI1KnAoknJgIuLkD//swmssxM5jyXy7glZGUxP3k8JkRZWhpzTeLq8Pw583PaNKBfPyasWXEx8OOPwIYNwNWrsu0FBDCb8wwNAXNzZvPaX38xvsuTJ6tJaMXYuHGj7jzXGsLKWjnKjhGpTGbOnAlra2u5vrEXLlxQe39Yykdbv2sSd4Lq+ulWlbDnYbA0scTDGQ9lfIUlG+P8IvwqVChLbqxLykrCnVfMRmoDjgFqG9bGlI5TkFGQgcCoQMS+jYUh1xDp8enl1gcAV19chV+kHyyMLWDANYCYxHDe6iyj5FcWb5hFe+e0yuLwenl54ZNPPkFERAQKCwvx6tUrCAQC/PLLL/j1119V1awMR48elUZnkODk5ITc3FzkS6yRYOJAGhgYwMXFBY6OjuDz+TKxIvPz85GdnY3OnTtXqV1tfNDl4uAAXL/OKLwSZRdgFFEioG1b5mcxE+wbtWp9UHYBGEh+37aN8dV1cGAiP6xfD9Spw/gBS4iPZzarETH1tG3L/CRirLxq9O1WBJ16rjWElVW3cXFxQcOGDbFz5054eXlh7ty5OHXqFACgT58+Gu4dS0m0ef5J/HSDRwRjRb8VSlN2gco3xlWmUEruT8pKwsSQieCAiQ8vIhGMDYzxMvsl1n65FoY8xke0SFwE/5nlRyiJz4iXicXr7uwOcyNzTOgwQSYWb2Xxhlm0d06rTOEtKCjAgQMH4OzsDI4kUQGAoUOHyhyriuLiYly6dAlffvmlzPlvv/0WfD4ftyWbqwDcv38f/fv3h5mZGaysrDB48GDcunVLej0mJgaGhoYYMmRIldpWRmB3pRMfz7gvjB3L/IyPZ863bs2EHzMyYtwXBg6UvS82lvlpYMBEaCgZomziRIglzzI/H/j6a6a8hQUT3SErC2jY8EP5NWsY5dbN7UOii+RkYNIk5vyaNSoTXxlo5XNVEboia15eHvh8Pvh8PvLy8hSqQ1dkrQ4pKSlwcnLCpEmTsGXLFuzduxcjRoxA9+7dy7y9YtEs+jj/qoIkEUVFCSziM+Kx8PxCjD00Fp7HPeF53BNjD43FwvMLQWLCtZfX0GpTK4S/DgdKqBWpeak49PgQbNbaoKi4CADQxa4L9v67V6bOhecXIj6D+VtY0mJswjeBe0d3ZBVkARzAzNAMfhF+MiHLpriUSrzEIqWiOa2MNVtRVKbwOjo6yj1fWFhYbgSD6iIUCsvNgHbjxg24urqWCV1Wv359zJgxAyEhIQAYf9vTp09j6dKl0jKLFi1CWFiY1AocFBSEn376qcqhc2bOnKmIOKojIABwdAR8fRmXBF9f5jgwENi6lSlTWMj46r5/L3uvxLJbXMxEaAAASb77K1cAKyvmdw6H8dsFGD/gTz9llFhj4w8K9tWrjOL8zz9MamGA+fnvv8z5K1dUNgTKQOueqwrRJVlFIlG1MiGWRpdkrSra8IaNpWro4/yrChKF0uu0l1TpLalQ3ky6idabWmP97fUITw6Hb4QvfCN8EZ4cjrU312Lfo30QioXgc/gQkxhiEoPz3z+AcW0wNzQHn8uHEc8IvR16w7K3pdzscYFRgWUszpKwaDuidiCrMAvrbq2D1Sor+Ef6VxhvmKXyOV3TNVtRVKbwGhgYYPPmzUhLS0NBQQFevHiBoKAgdOvWTSlhWA4dOoRjx44hJSUF69evL5Ou8ujRo/j666/l3rt69WoQEby8vDBjxgz4+fnJxOX99NNPsWnTJkyZMgU//vgjrKyssHLlyir3bdeuXQrJpBLkpQ9OTmasrB4ewMuXjOuBpyejdDZuzCSPkCCx4BIxPrfNmgH37jF+vImJ4EgCTIvFwOPHzO9BQUBCAuOny+F8ULAlLhOq2yepUrTquaoYXZHVxMQEycnJSE5OhomJSeU3yEFXZK0Omn7DxlJ19HH+VQWJQhkQFQD7dfboE9QHdn/bwT/KH2IS4/LLy2hQuwEMuYZ4nvkcPRr1QPdG3fE88zmEYiEMuMx+GyEJweMw+3Tov38A48KQU5QDoViIwuJC9G3aF17nvaQuCxcmXcClSZfQzrod3I+6I/ZNLCJSIqTKd3xGPA48PCCtk8PhAByw358qUNGcVsaarSgq27Tm7e2NSZMm4YcffpBOECLCl19+iQ0bNtS4/hEjRmDEiBHlXl9TwetxPp+PjRs3Vlj/119/Xa7CXBm9evVS6D6V4O/PuBj4+HzIqGZiAnh5Abt2Ma4HBQXAl18ym9YAxlL79dfAkSOM0iqJwZudzXzat2eU5t69mcxwEgwMPkRz6NABuHWLaUsgYNqT1D9jBmPVlVybMYO5r2dPdYyIwmjVc1UxuiIrl8uFnZ1djerQFVmrgzresLEoB32cf1Wl9Ma4UW1GYXvEdnSw6YCk7CQ8/+k5frvwGzaGb8T1pOvgcrjgcXgw4BpgcMvBCIkNAZfDhZjEaGnVEvHv4mXqF4qZt5JcDhfbI7aDz+UjsyATf1z+AxZGFlh0cREsjC3A4/Lw+O1jFBYXYuCugRjXfhx+OPUDiqkYtQxqIV+UD2GxEP9+9S/uvLoDj2Me6NG4B2vlLYeK5rQy1mxFUZmF19DQEMHBwYiOjsb69euxbt063LhxA2fPntXKECzK5NmzZ5ruwgfkpQ8OCAA6dmSUTCMj5tzIkcCYMcDBg4y19r8QaygsBAYPBv7448P9KSmM68Phw4wFt1Ur5rwkc5qhIfDwIfDqFXNsYsIo3ObmTPmgIMDOjsnK1rAhc8zlAlXIYqdJtOq5qhhWVt1G1W/YWJSHPs4/AOX6ypam5MY4KxMr1DGpg1Z1W0ndC5JzktHVviuMeEbg8/iwMGIU1Ni3zP4SC0ML1DGug7omdcHj8NC0TlNwOVwYcA3Q3LI5Yr6PgYmBCfY92geRWIS3+W+x+e5mLLywED0a90Dy7GR83vhzDGk9BD2b9MSVl1cw/eR0qWtDgagAW/9vK9yc3TDj5Az81OUnmBuZwy/CT21jqWto65xWmcIroX379vjxxx/h5eWFrl27AgDel/YT1TPUmjmkMhwcgOhoxpIKfHBxmDgRqF2bSRM8aRJzbfduRvEkYhRdDgdwdmYstUuWMLF5DQ2BjAzGmgswZePimPuePAG6dAG6dmWUW78SC4KJCeDqCnTqxJQVCBiluKCAOfbz0/pUw1r1XFWMrshaVFSE1atXY/Xq1SgqKlKoDl2RtTp4e3vjypUrsLW1hampKZo1awY3NzfUr19fKW/YWJSHPs6/gMiAcn1lK0LiR9vcsrl0Q5uDhQNi0mNgZmQGPpePdwXvkC/MRy1+LQDA+8L3qFerHl7lvAKHw4G5kTlAgCnfFKPajIIRzwh5wjzUMaoDE54JTo47iakuU2HEM8LVF1fx7P0zRKVGoYVlC5wZfwZGPCMYcAxgZWKFxhaN8eTHJ5jmOg0+g3xgbmSO3TG72bBklVDRnFbGmq0oSlN4X79+LRPq6+XLl3I/CQkJ+KOktVAPsbGx0XQXPuDuzkRL8PJilEyJiwMRkJPDhAkLDAROnmQUT8kmNUtLxrc3JoZJdzxhArOpjcMB7t9nrLENG6LY1BQYNIhRhKdNY9wcHjxgXBpKJgQRCJiUxH36MJEcZs1ifp81iznW8hi8gJY9VxWjK7IKhULMnz8f8+fPVziFr67IWh0+5jdsuoa+zb/S4b0uTLqA5NnJcHN2kwnvJQ9J5IZx7cdJN7RJfn+b/xY5RTkAAB6Hh9yiDxGD4t/F43XOa4jEIkSnRaNHkx7ILcrFFJcp2Hp3KzjgYESbERCImU1xL7JeoKt9V5gbmeO7w99Joy6Y8E1gYWwBq1pWGN9+PHKLcmFnxrx+l4RLkyjIbFiy8qloTitjzVYUpfnwtm/fHoMGDZI6K3/xxRd48eJFmXJEjPP3unXrlNW01nHv3j24urpquhsMLVsyvrMeHowLgoEB44e7cyewbBljWU1MZCyyYjFgZsYowl9/zYQJ++UXxgosiWdcWMgklPDxAQCIfHxgYGPDRHCYN49RpP/6i7EK//gjc4/Ehzc7m1GwW7RglGgdQ6ueq4rRFVkNDAww6b83FJKkMdVFV2RVhPbt26N9yU2oYN6wWVpaaqhHLKXRt/lXMryXxC3AhG9SpYQS7h3dsfrGavjc9sG/X/2LGSdn4HDsYdQ2rI2sQiacnrmROYQiIZ5kPEEtg1rgcrnILcpFMTHGGkOuIa6/vI7tQ7fDzswOIU+YiEwLeiyA6LkIAVEB4PP4EIlFICLcT7sP/2H+aGHVAgKhANkF2QAH6N6oO1ZdX4V2/7bDcMfhmOg0EVGpUWhs0ZgNS1YJFc1pZazZiqK01MJ37tyBra2tNHTXmjVrUFxcjE6dOslkOhOJRNi+fTuCg4OV0azGkZfSLi0tTfv+1/70KaPcHj3KRFD43/8YNwULC0YpvnuXse6amgI2NsCLF8y19u0/hAtr3Zo5d/eu9D66fZvZlLhlC2PhFQiYWL5XrjBlXFwYy252NqN464Altzy08rmqCFZW5aGO1LivX79GnTp1UKsW85r35cuXcssVFxfDx8dHpwwO+p5aWN++a2MPjUVabhouTCqb0a9PUB/Y1LZB8Ijy//6XTGnc0qololOjUVhciPq16qOwuBDZhdkwMjDCJ3U/QWxGLApFhTA3Mke9WvVQr1Y9hL8Kh7mROVxsXRCVGoXMgkzU4tfCm5/fIPtdNnL4OVh9fTW2RWwDl8PFZKfJ2D5suzQkmn+kP8BhjHMmBibIF+XL9I8LLvyG+SklvbK+ou45XdU1QmkuDZ06dZKJU+vh4QF3d3f06dMHvXr1kn769u2L1atXK6tZrWTbtm2a7kJZWrRg3Bs+/5zxm/39dyYz2vLljAIr+X9PXh6TLtjbm1FgbW2BRo2AAQOYzWocDqPQtmoF1KuHFw4OzH0//gg0aQJYWzPxdjt0YEKR1arFhDzTEbeFitDK56oiWFl1i/bt22PatGnS4y+++AJNmzYt82nevDl8/ns7w6Id6MP8K0lVEkpUxGTnyYidGYtpLtPQ1LIpZnWdhbgf4+De0R0A4O7sjqZ1mqKwuBATO0zE/en3weVwMarNKNzyuIW4H+Pw/affoxa/FlrXbY1eTXohX5iPSSGT8K/vv2hh1QLrB67H540/RzEV41DsIfQJ6oMGaxrAL9IP7W3aQ0xMBlFjvjG62neFMe/Dpu/QCaGsslsJ2jqnlWbhLc3Zs2cxYMCAMufPnTsHZ2dn1K9fXxXNqh2dsT4EBDCb1SwsGKVVEj8XYPxvi4oY5ZTHY1waJL66zZszkRTMzICkpA9W2+hoJlIDh8O4Q5ibM1EZiouZDWpduzJlsrJ03rLLwlIT1LFG6PMbNp1ZY1kAMD68jv84ws3ZTZq1TGI9DYgKQOzMWIXCea28uhILLyyEEc8IXe27IiY9BlkFWejeqDuuJ12XqTcgMgBTj0+FhbEFnGycEP4qHHnCPJgYmKC+aX2k5KRAJBZhTrc54HP5uJB4AeGvwmHEMwKPy0O+MB8ccDCo5SCYG5nDwcIB49uPR8/AnvB09SzXJYNFM6jdwluao0ePyj3fqVMnDBs2TFXNagValyqydPKJL78EOndmrLEA8MknwBdfMO4IxsZMNAUiJqJC8+ZMwoikJKBXL8bKe+ECcOkSAIDEYsaie/48c4+VFWNBbtWKKSNJcPG0/I0KuoLWPVcVoiuy5uXloU6dOqhTp85HnVqYfcOmu+jD/CtJeQklAqICFM5QFp8Rj0UXF6FXk14QFgsRkx6DdvXbgcfl4crLK/izz5/SeuVtmnvz8xt0atgJApEAKTkpsDWzhYWxBdbfWg8LYwvceXUHHHBgamiK2oa1pUktTsefxtLeS7Gi3wq0s2kH5wbOiEmPqTTcWlVDsukrlaUWrumarShKVXgfPHiAMWPGoE+fPjh27Bj69OlT5uPq6oqkpCRlNqt1zJ07V9NdkKVk8gkTEyZU2dOngOQPZFwcY6mtVQt484axzJqbM1bf1FQmu5qFBXDmzIeUwHv2fIjksHs3E21BLGY+PB4TW7djR0ZpLh2iTEfRuueqQnRJ1qysLGRlZSl8vy7JWlVu374t9y3auXPnYCSJvc2iFejj/CvplmBT2waerp6InRmrsCuAZCPcme/OMGHCXKahoXlD/NjpR1gYWSCzILNMWYl1GQCSs5MRkRIBQ54hvDp74cWsF3g95zXcnN2wMGwhCAQ3Zzckz06Gu7M7zAzN8F2H70AgrLnOJLESCAW4nXwbp+JPVRhuTdGQbPpEZXO6pmu2oihV4W3Xrh18fX1hYmKC2rVro0mTJjIfBwcHDB48GMePH1dms1rHv//+q+kuyFI6+YS7O2O1jYhgFN1Bg5iwZBIXFJEIyM1l/HDj4hhrsIuLbPKK/+pMqluXCV12+jTj7/v6NeMnPGQIY92dMYPZ7FYyRJmOonXPVYXoiqwmJiaIi4tDXFycwmkqdUXW6vAxv2HTNfRx/gGyCSVW9FtRo6xkkvi8xgbGMvWuGbAGLrYuMjFxS5aVIFGC7cgOr3KZhEiSyBFccMHlcPHPV//AhG8C947uyC7MlmZ0u/LyCgRCASaFTEK+KB+j244uN9xaTUKy6RMVzWllrNmKovSYEObm5jh8+DB27NiBqVOnlrl+//59tGvXTtnNahVDhw7VdBdkcXAAQkMZlwUTEyYqw8CBwKlTjBtCaChQrx6Qn89cLyhgLLX37wPXrpW9X1Ln6dOwFwgY5ZnLZe5/8AC4eRNo2hT46ivGahwVxbhM6Dha91xViK7IyuVya5w5TFdkrYwHDx5g2bJlSE9PR1xcHGJjY8uUefHihdqDvbNUjL7MP1UQnxEP/0h/RKdGIyEzATFpMWhv8yHMnmQjnKerp/Scg4UDQp+FQiAUSC28iVmJaG/dHlEpspvmTPgmMOYbQyAUQLKdSeKSMeXoFIghxousF7D72w6ZBZkw5Zsi8OtAmXBrXl28sCtmF4YGD4WFkQXMDM0UCsmmT1Q0p5WxZiuKSnx4jYyMMHXqVOTl5SE5OVkm8URSUhLc3NxU0azWoHW56ksnnwCY8GMSH968PEZZtbb+YMXt1Im5z8MD6NuXuX/SJCbW7tixjCKclQVOURGjHHM4TJnOnRmF2dyccaXIyWGOp+h+zEKte64qhJVV92DfsOkm+jL/lE1J1wBzI3MUiArgtMUJvvd8AUC6Ea50TFz3ju7SpBWSSBH2Zva4lXwL2UWyZQVCAUTFIhAIM07OkJb/tu23+PqTrwEAtrVt4enqicEtB6OzXWcZy3FAZAA6bu0IkViEDEEGIlIjkFmYiRH7R8j470qSVnws2dm0dU6rLOrvpk2bMGvWLMgLAmFlZaWqZrUCrYtAUTr5hJMTY4UtKAC2bmVcG4KCmE1pTZoAvr6Mkvv778ChQ0BYGKPs+vsziq2ZGRNXF2COBYIPYc0ARmmuVYtRhCVl9ACte64qRFdkFQqF8PVl/gBOmzYNfD6/2nXoiqxVgX3Dpnvo0/xTFiVdAzYM3AATvgl87/li+onp8DzhiYCoADx5+wTZhdllNsJJLLQexzxwOPYwnGyccO/1PRQWF6KDeQdp5jSJwiwSi8DlcBEUHYSjT47CuYEzIlMikVWYBS6HizPfnUELqxZYeH4hfCN8pZZjSR8nOk3EkdgjcHd2R2RqJM4+O4tT8afQ1b4rQp+FYvWN1fj3q3/LWKL1mYrmtDLWbEVRWZQGf39/bN68GSEhIfj+++9x4cIFhIWFYcKECbh27ZqqmtUKtHJTyOTJTCzcadOYxBITJzKby+7cYUKUdevGKL2ZmYzFd8oUxn3B2Znx0Q0KAkaPBubOBezsGKV2xAhGmf36ayYcGY/HWI6dnRkXiSZNPoQt04NNa1r5XFWErshaVFSEmTNnYubMmQq/qtcVWavKx/6GTdfQt/mnDORtPJvmOg33p9+HMc8YWQVZFW6Ek2yaG+k4Eqm5qbAzt8MXTb7Ag+wHZSJH+A3zg99QP3A5XAhEAjx88xAFxQXgcrjwG+onVaYlluNuft0w6sAoTAyZCFO+KQAguzAbfZv2xfnn58EBB3wuH93tuyN5djImOE3A9BPTkVWQ9dFkZ6toTitjzVYUlVl4Bw4cKLUw3L59Gz179gSHw0HdunWxbNky7Ny5U1VNa5xnz56he/fumu5GWUqn9O3WjbH68vnMRjU7uw8Z0Vq0YCy3UVEfMqz99hsTkSEvj3F/WLwYRWfOwMjBAejSBbh9m3GNiIxk7isqYqzCO3boxaY1rX2uKkBXZOXxeBg5cqT0d0XQFVmrw8f8hk3X0Mf5V1PkbTwDgHY27dCtUTfY1Lap1Bf26our8Iv0k8bijU6LBoHQ1b4rzI3M4enqiSkuU6QKbY/GPeAX4YfErEQ4WDjIXAOAay+vQUxiRKdF4+GbhygWF4NACIoOgt9QP4QlhMHC2AIr+66E5wlPbLyzERGpEYhMiQSBMKjloBpt3NMlKprTylizFUVlCm9iYiLCwsLg4uKCIUOGYMGCBfD29sb169f13ofsC13ZoDV5MtCjB7B6NbBtG9C4MbBrF9CuHaPsenkxCnDduoyC6+zMKL61azNxeTt2BNfBgVFm69Zl6iRiLL0Sv96iIkb59dT9Vzk681yVgK7IamxsjAMHDtSoDl2RtTpI3rDZ2NggNDQUo0aNAhEhMDAQCxcu1HT3WEqgj/OvpsjbeAbI36QmD3kuEQKhAO4H3XEg/oDc5BeS6A8V1efh4gGvzl7YHbMbIbEhePruKYgIPRr3wNlnZ+Fk44TvOnyHeaHz0KZ+G9jUtsH0T6fj0otLMDcyr/nA6AgVzWllrNmKojKXBnd3dwwbNgzz5s1D165dUVBQAFNTU/zwww/o2bOnqprVCnTKet2iBePH6+/PRFjo1Qvo04ex9gYEMNZeOzvGHWLiRCZxxfnzjDLbrBkMnj1j6jl79kOdt28D794BEyYA06czm9n0YNOaTj3XGsLKqttI3rANHToUFhYW6NmzJ7744gvMnTtX7xId6Dr6OP9qiryNZ+VtUpOHPJcIE74J6j2tBz6Xj6HBQytNCFEyecTEkInS6AvtbNphRb8VOD72OIgIfB4fW+9ulaZUnnFyBvKEedg5fCeCRwTj916/48nbJ5WmVNYntHZOkwoRCAQkEomkx+fOnaMTJ07Q27dvVdmsWrGzsyMAZGdnJz1XXFyswR7VgPh4ogULiMaMYX7GxzPnp00jAojc3Ijy85lzW7cSASQGiExNiTgcpgyXS2RlRdS7N1GdOsy5wYM1J5MS0dnnqgCsrMpD3hqhasaOHUvnz5+nd+/e0c2bN2n+/PmUn59PmzdvJgsLC7X1QxloYvzUycf0XasOAZEBxFvCI6tVVtQ7sDdZrrQk3hIeBUQGVHrvmINjqHdgb5lz/hH+xFvCI4M/DMh6tTVZrbIqtz5JWUnbhksNCd4oUzYgMoDgDTJcakhdtnUheIM43hzaencrERHlF+WTx1EP4i3hUXxGvKJDoXOoe05XdY1QmYUXYByX37x5I90w0apVK7Rp00bvLQzLly/XdBcUQ+LjGxzM/Gzx3yuf7Gwm/fCOHUxyiSZNgJkzAQ4HBUZGjBtDo0ZMCuMnTz5sjJs+Hejaldm0pgfo7HNVAF2RNT8/H3Z2drCzs0N+fr5CdeiKrNXhY37Dpmvo4/xTBjXJ1iaxtkqswxKXBCdyQm1+bbg7u5ebEEJe8givzl4w4hlhytEpMmW/bfstLIws4NLABU0tm2Jwi8HgcrhYGLZQKSmVdZWK5rQy1mxF4RDJ2dWgBAIDAzF79mxkS8JX/QcRgcPhoLi4WBXNqh17e3u8evUKdnZ2SE5OBgCIxWJwuSr9v4R6WbiQCVU2axaweDGzya1BAyArC5SVBU6zZkx0h+TkD4kpAMYP2M6O8d9dofvBtvXuuVaArsial5eH2rVrAwByc3Nhampa7TpULau8NUIdFBQUgM/nSzeGnD9/HoWFhejatSvqSnzudQBNjZ+60JXvmq4QnxGPNTfWYFvENnSw6YCd3+zEnpg98I3wxZBWQ7Dr/i6pD69AKIDd33bwdPWU+u9Kwo+9mvNKumkuPiMejv84gsfl4bv238Ha1BpP3zOZ1R6kP5DxCX767mmFm98+Biqa08pYs0tT1TVCZd+yWbNm4ZtvvsHx48dx4cIFmc/48eNV1axWsEIPlDsZJKmIFy9mNrplZjI+vd98w1xPTGTOlUxsUXLTmx747wJ6+FwrQFdkNTY2RmRkJCIjI2FsbFz5DXLQFVmry8f6hk3X0Nf5pwkkySoOPj6I1vVaIzotGh22dMA/d/5BdmE2dkbvlLG2yksIIS9ChCS2b1FxEfyj/LHm5hociT2C6LRoiEmMay8/hFpVZkplXaWiOa2MNVtRVBaloVmzZli5ciWsJdm8SuDg4KCqZrWCCRMmaLoLyqVkKuIjRxgFNyoKyM7GuxUrUPevv5gQZwEBHxJb/HddGuJMD9C751oBuiIrj8eDs7NzjerQFVmrQ2Vv2NatW6ehnrGURh/nnyaQF5nhQfoDfHf4O0SnRcOQZ4hTX5/Cl05fSu+pKDVxTFoM9sTsQWJWIswNzZGRnwEAqGVQCz0desLZxhnj24/Hhtsb4HHMAz0a9/golVt5VDSnlbFmK4rKLLzbt2/HoUOH5F4LDw9XVbNawaVLlxS/OT6ecSEYO5b5GV/+LlK1Ym7O+ON6ejL+uZ6eQGwsTjZsyIQrMzeXTWzx33VMnqzpniuNGj1XHYOVVbf5mN+w6Rr6OP80gbzIDO2s2+HmlJuwMLKAsFiIP8//WWnUB/eO7sgsyITTFidsvbcVUalR8I3wxaFYRp8x4Brg3LNzaF2vNdrZtIPPIB+Y8k0x4fAEmXTClVEyCkRV79EVtHVOq8zCu2jRIsTFxWHfvn0yvhxisRhRUVEYPXq0qprWOM2bN1fsxoAAYOpUJtatkxMQGsrEyN2+XfOKo4MD058LFxhfXX9/4Lff0AdgUhN//33ZxBZ6hsLPVQfRFVmFQiF2794NABg/frxCaSp1Rdbq8DG/YdM19HH+aYLyklWY8E3gYuuCfGE+rr2+Bvt19nCycUJUapTc1MQApAlbxCRG7NtYGPIMUVTMZAUb1XYULiZchPtRd9ib2yMpKwk5RTmISI0AgXAk9ghWXV+FQS0HYf2A9WhZt2WZvgZEBmDq8anSpBiSFMTbh26v0qY8baeiOa2MNVtRVGbhbdCgARo2bIgmTZrIfOzt7aUOy/pKYWFh9W+Kj2eUXXd3RqGUKJZubkw2tKdPK75X1VZhd3cmnu7AgUzmtfXrgbAwNNy/nzlfp47y29QyFHquOoquyFpUVAQ3Nze4ubkpnKZSV2StDh/zGzZdQx/nnyYoHZlBgsRtobdDbwS4BlQa9cE/0h+WJpaI+T4GjvUcYcgzhFcXL3ze6HMAwO6Y3Whk0QgA0H9nf0w5NgV8Hh+9m/TG3dd3UYtfCw1qN8Cp+FNw/McRgVGBMvXLiwJRXsQIXaWiOa2MNVtRVGbhnTlzJqytrWFvb1/m2oULF1TVrFbw5s2b6t/k789Ydn18AIkjt4kJc3zoEODnJ996qi6rcMuWwJ9/AgsWMMciEfD+PThiMXO8cCEwYoTe+OvKQ6HnqqPoiqw8Hg+DBw+W/q4IuiJrdfiY37DpGvo4/zSBe0d3rL6xGl6nvaRuDaXdFu6du4cVX1X8FlJiKW5r3RYOlg4w4Ztgmss0rLvJ+L0b8YxgbWoNO3M7ZBZkIrcoF0XFRTifcF7qPwwADdc2RJM6Tcr495Z0vZBYo034JvAZ5INDjw/BL8Kv0rTJ2k5Fc1oZa7aiqEzhdXFxgUAgkHutT58+qmpWK3Bxcan+TYmJjMJaeteiiQnjI5uYWPaeklbhDRuYspLoCB4egL09EBbG3OvgwJRrWfb1SpV5/pz52aEDY+Vt3hwve/RAk4MHgcBAYM0aYMsWxevXchR6rjqKrshqbGyMkydP1qgOXZG1OjRo0AC5ublo0qSJjMIrFArxtKK3RSxqRx/nnyaQRFLwOOaBw7GH5botJLRIwMLzC6Uhw9w7updxOSiZ1ljyu+89XxgbGCNPmIeswiyExIZAJBZJ72lm2QyZBZkySmxH246oW6suXma9lFFiK3K9KB0xQlepaE4rY81WFJUG/xs6dKjc83PnzsUXX3wBLy8v3Lp1S5Vd0AjHjh2r/k0ODkB09IewXhIEAibigTy/u5JWYUn8W4lV2NgY6N+fiZ+blsb8dHRkFFNFuXoVMDBgUgfv3w+sWIHzV68CdesyqYYPHtSeTXYqQKHnqqOwsuo2M2fOxJ49exAUFISAgADpZ9euXdixY4emu8dSAn2cf5qiomQVAZEBGHhiIHwjfJGWmwbfCF+5Lgcl0xqPaz8OWQVZ2PtgL/KEeeCAg8OjDqNt/bYAACsTKwCM20RJJVbiRtHCskUZJbYy1wt9SEGstXNalene2rdvT23btiVLS0uaM2cOERFFRkYSl8ulV69eERHRrFmz6P79+6rshkqRl9IuX5J+tzrExRHxeEQeHh/S9+bnM8c83oc0vyUZM4ZJ4SuvLoCoefOq11X6/pIphuPimPOOjkQGBh/q9PcnMY9HZGnJpBbmcpn6AwKqL78OoNBz1VFYWZWHplLj6ssz1PfUwvrynLSZuLdxxFvCI7fDbpRfxIx3RWl/S6Y1/mTTJwRvELxBLTa0kElxHJ4cTvAG1VpWi6xWWVF+Ub5MvTFpMWS50pIWnFtQpi8eRz2q1BddRN1zWuOphQMDA9GoUSNMnjwZy5cvx6tXr7Bjxw4k/vdq3tbWFgDwww8/YPHixarqhkZYu3Zt9W9q2ZLxuw0IYFwR+vRhspQFBJQfy7Y8q/DKlcxPPh/44w/G6iqx/JqbM/7A5REQwFiC5VmGP/+c8d2dMQM4cQKYMgWZ5uZAw4ZMemE3t6ptstNRFHquOoquyJqfn4+WLVuiZcuWCqep1BVZq8vH+oZN19DX+adNSPxmGz1oJA1ZJvGbNTcyh1+E7N/E7o26w8PFAzamNuCAgwamDQAAYojh7uyO2Jmx+Lbtt/C95wsAyBfl453gHZr7NEfDtQ0REBWAf7/6FxtubSgT9kziehEQFQD7dfZ6mYK4ojmtjDVbUVSWWvh///tfmXzKPj4+sLW1xfjx46W78/Lz89GoUSNkZGSoohsqR+lpL58+ZRRSid/tlCnlbwSLj2eUUTe3D24NW7cC06cz17t0YcpkZX3YxNanDxMnNzi4/Prk+QQHBABnzgADBgCSjWoAwOMBkjTRK1cyZfUonTCLdqOKNJXKRlOpcTt06ACxWIzXr1/Dzc0Na9euRVRUFFxdXZGUlISGDRti9uzZcHd3R/v27dXWr+qi76mFWVTP2ENjkZabhguTym6Y7xPUBza1bRA8gvmbWDpkWHRaNN4L3oPP46NYXCw9L/EPNuIZYUKHCUjKTsLpp6dhZGAE5wbOePL2idR/WF6osY81BbFephauV6+ezHFmZibevHkDkUiEWrVqSc+np6erPTSFqqlR6k5JLNvgYOZnRVEPSluFu3X7oOyamgIXL8qGNnvwoHx/YKBin2Bzc2YDnOQ/MRwOwOdDyOEwSm/PnsCvvwKvXpW/yU7H+ZhSsuqKrMbGxrh27RquXbumcJpKXZG1OnzMb9h0DX2cf9qGxG928VLZuV7ab7a8kGEj24xEUXER+jfvD3dnd9jUtsGUjlMw3HE4CosLMa/7PJwcfxJxP8ZhVpdZcKjjUG7YMwn6nIK4ojmtjDVbUVQWpeHdu3cYOXIkWrdujfT0dFy9ehVt27bFixcvYGBggPT0dFhbW2P//v1o3bq1qrqhEaZOnaq+xiZPBnr0YKzCR48ym9UOHQKGDmWsrT4+zOfgQeC775h0v1OmyK+rKpEiHBwYpbh1ayAqCkUeHuDPmcNYde3sGAtzVBRj4dUz1PpcNYyuyMrj8dC9e/ca1aErslaHuLg4mZ3Q06dPh4+PD0xMTMDj8cDhcAAADRs2xOXLlzXVTRbo5/zTNiQhy561fgaBUCA3ZBlQfsiwoK+DcCr+FM48PYPbr27DycYJZ5+eLZO4QqLEfuxUNKeVsWYrisosvN7e3mjbti1OnjyJhIQE7NixA5s2bQIAbNy4EX/++Sf69++PxYsXY+bMmarqhkY4evSoehuUWIWbNQOsrYGdOxnXA4nl96uvgNxc4P798v2BgapFikhMBFxcgF27gOJivIyJYRRdExMmXNnhwxUr1TqM2p+rBmFl1W0+5jdsuoY+zj9tQ+I3GxwbXMZv9s8+f8Ivwg9jD43F0SdH0cqqldyQYZ3tOmNwy8FlIkB0b9Rdb1MEK4q2zmmVWXgNDAywZMkSLFmyROb8vHnz0K5dO4wdOxbnz5/HhAkTMGHCBFV1QyO4urqqv9GAAODUKeb3168Z9wUioGtXxr3BwIBRQitKRuHuziStkFiGS/rwSpRYPz8muYW9PbB9Oz6RxPtt144JWwYwrhF6mIBCI89VQ+iKrCKRCCEhIQCAb775BgYG1V/SdEXW6vAxv2HTNfRx/mkjk50no052Hdwuuo3ErER4unrCwsgCv174VeqXm5CZgAJRAXzv+WKa6zTpvRLXB09XTxkLrr6nCFaUiua0MtZshVFlqIjc3FxKSkqiFy9eSD8nTpygiRMnqrJZtSIvHMbJkyfV2wlJSLPRoz+ENsvIYH5yuR/OVxaOjIgJKcbjEVlZMSHPLC1lQ42VCp92cds2orlziZo1Y0KTnT+vSkk1itqfqwbRFVlzc3MJAAGg3NxchepQtayaCKslFArp999/JycnJ+rbty/dvn2bXr9+TRMmTKA9e/aQl5cXffnll2RsbEwBWh5GUN/DkunKd00fKDnWkvBgU49NlYYHu596nzjeHOJ4cygmLYaIyg8ZJu9+fQsvpigVzWllrNmlqeoaoTLVetOmTZg1axZIThAIKysrVTWrFaj9FaFks1lQEDBoELNB7fBhoH17xsp74EDVra4lfYITExlf3JKRIiQb5Tw8gAMH0JnPZ6JAiETMhra+fVUpqUb5mF796oqsXC4XvXr1kv6uCLoia3X4mN+w6Rr6OP+0lZJjLc9ft71Ne2z5vy3wPOGJTts6oZt9tzLZ2iq6X99SBCtKRXNaGWu2oqhM4fX398fmzZthY2OD0NBQjBo1CkSEwMBALFy4sMb1FxQUYOvWrQgODi43lmRsbCx8fX3RqFEjODk5SVMaExEWLVqE9PR05OfnY8yYMRgyZIjMvRcuXMCWLVtgbW0NPp+P1atXV9n03rx585oJV11KbjYrrbA2asQovhW5MpRG4hNcHpMnA6mpwP/+B2MDA8DWlnF5WLQIaNCgem3pEGp/rhpEV2Q1MTHBpUuXalSHrshaXfLy8vD+/XuIS4QRTEpKwtq1axEUFIR+/fppsHcsEvR1/mkjJce6vBS/01ynwT/SH9mF2VJfXXkhwyT3J2UlwT/SXyZdsb6kCFaUiua0MtZsRVGZwjtw4EDpTr3bt2+jZ8+e4HA4qFu3LpYtW4adO3cqXLdIJEJwcDB8fX2Rl5cnt8y+ffuwefNmHDhwAPXr15e59uuvvyIxMRF79uxBfn4+PvnkE9ja2uLTTz8FAERHR2PcuHF48OAB6tWrBy8vL/z8889Yt25dlfp3+fJl9ca1dHBg/GoFAsbvVqKwCgTMhrLSfYmPZyy+kqgL7u6M5baqxMczyq2HB7Z+8gm+nzPng6+vhwejcOuhD6/an6sGYWXVbT7mN2y6hj7OP22l5Fg7WDgg9FmoNGqDBIFQgLiMuDL+uqVxsHDA8SfH4fiPYxkfXiOeEby6eKlcHm1Fa+e0Uhwo5DB27Fg6f/48vXv3jm7evEnz58+n/Px82rx5M1lYWCiljV9++YWaNGlS5vzp06fJ3t6eUlJSylxLTk4mQ0NDOnfunPScp6cn9enTR3o8ePBgGj9+vPT45s2bxOPxKCEhoUx98nxH3r9/r5hAilKdtMT+/rI+ulZW1U8HvGABc59AICtrfj7j87tgQbm36jJqf64ahJVVeWjCB7Vjx47k6+tLR48epR9++IEuXbpEFy9epEmTJlFsbKza+qEM9N2H92P6rmkayVjHvY2jacemEcebQ06bneh+6n0iqp4PbujTUII3qPXG1pSRl0FERBl5GdR6Y2uCN+j8s6rtZ4l7G0cLzi2gMQfH0IJzCyjubZziAmoJ6p7TGk8t7O7ujmHDhmHevHno2rUrCgoKYGpqih9++EHqv1FT5AUtzsnJwaRJk/DXX3+hQYMGZa4fO3YMRUVFcHFxkZ5zdXXFxYsXkZ6ejuzsbISGhspcd3Z2BhHh4MGDVeqXJPya2qhqWuL4eGDqVMaim5wMXLggm5iiqumAS7hQyMhaMl6vHqL256pBdEVWgUAAZ2dnODs7Q1A6nF4V0RVZq4PkDdvQoUNhYWGBnj174osvvsDcuXNrnOggNTUVI0aMgIWFBVq0aIHNmzeXKXPs2DE4OztLE12UpLCwENOnT8fMmTMxZsyYjz69sT7OP21l06ZNCIgMgOM/jjj4+CBa12uN6LRodNjSAY6bHCtN8RufES8NQfb7xd9hYmCC+Ix4tNzUEn2C+qDFxhaIz4iHKd8U55+fr7Q/kr74RvgiLTcNvhG+cPzHEYFRgSqQXn1UNKeVsWYrispcGvr164e3b9+Cz+cDADZs2IAhQ4agsLAQAwYMUFWz2Lp1KwQCATIzMzFy5EjExcVh6tSp+PHHHwEA4eHh4HK5sLS0lN5jbW0NIkJ0dDQMDQ0hEolQt25d6XVjY2OYm5sjMjKy3HaFQiEiIiIAAIMHD5b+XhpbW1tpliOlUtlmM0A2k5rkPwuSTGqHDjH3ViUdcAkXikWLFn04L4nXq4dJJwDIyqrn6IqsYrEY0dHR0t8VQVFZU1JSkJKSUmk5oVCoUP01ITExEWFhYXBxccGQIUOwYMECeHt74/r16zh+/HiN6nZ3d0fnzp0xfPhwBAQEYMaMGahdu7Z089vJkycREBAgfS6lcXNzg4ODA5YvX46UlBQ4Ozvjzp07aNy4cY36pavoyndNH/j2+2/h+I8j3Du6Y8PADTDhm+BB+gN8d/g73E+7j2ku0zCv+zy5ym7pEGQRqREQFguxot8KZAoypaHOprhMwbTj0yr14S2Z1U3SF0kyDI9jHujRuIfOZl+raE4rY81WGFWZmM+cOSP3fGhoKKWnpyuljcWLF5dxafjss8+obdu2FP/fa/z169cTANqzZw8RMe4KVlZWMveEhYVJy+zfv58A0LFjx2TKNGrUiPr371+mDxJTelU/o0ePpocPH9KGDRsoKyuLli5dSkRES5cupYyMDNq0aRNFR0fT0aNH6cSJE3Tv3j3asmULpaeny5TNy8ujNWvWUGxsLO3bt4/Onz9P169fp4CAAHr58qVMWZFIRMuXL6fcIUMoxdGRrl69ShcvXqTg4GCKi4ujv/76i0S9etGD9u2l96SkpJCvry+Fh4fT6dOn6fDhwxQTE0M+Pj6Ufe8eFXO5RB4eNOiLL+j9+/f079q1lDF8OBVzuXRx2za6e/cubd26lVJTU2X6kp+fT2vWrKG4uDjau3cvhYWF0bVr1ygoKIhevHhBy5Yto+LiYlq6dCkVFxfTsmXL6MWLFxQUFETXrl2jsLAw2rt3L8XFxdGaNWsoPz9fpv7U1FTaunUr3b17l06ePEkhISF0//592rhxI71//16mbGZmJvn4+FBMTAwdPnyYTp8+TeHh4eTr60spKSkyZQUCAQ0YMIDi4uIoODiYLl68SFevXqUdO3ZQYmIiLV++nEQikcw9L1++pICAALp+/TqdP3+e9u3bR7GxsbRmzRrKy8uTKZuenk5btmyhe/fu0YkTJ+jo0aMUHR1NmzZtooyMDJmyWVlZtGHDBnr48CEdOnSIzpw5Q+Hh4bR9+3Z69eqVTNmCggJatWoVPX36lPbs2UMXL16kK1eu0M6dOykhIYFWrFhBQqFQ5p6kpCT65ptv6ObNmxQaGkr79++nx48f099//005OTkyZd+8eUObN2+myMhIOn78OB07dowiIyPp33//pbdv38qUzc7OpnXr1tHDhw/p4MGDdPbsWbp16xb5+fmV6XdRURGtXLmSnj17Rrt27aLLly/T5cuXadeuXfTs2TNauXIlFRUV0ZIlSyg0NJQmTZpEL1++JD8/P7p16xadPXuWDh48SA8fPqR169ZRdna2TP1v376lf//9lyIjI2n8+PF0/PhxioyMpM2bN9ObN29kyubk5NDff/9Njx8/pv3791NoaCjdvHmThg4dWq3vvjpfyZ87d45MTU3J3d2diIi8vLyIw+EQl8uloUOHKlzvgwcP6MCBA9JjoVBIrVu3ps8//1ym3OnTpwlAGTew8PBwAiBdn4mIBgwYIO2nPPTdpUEy11hUz+dLPierVVYkEApkzucX5ZPlSktacE6+O568EGRzz8wlo6VGZdwfKqtLUl/XbV3JcKkhzQudJ+PGUJX7tZ2K5rRIJKLQ0FAKDQ0lkUiklPaqukaoTOH9/vvv5Z5///49devWTSltyFN4raysaObMmdJjsVhMdnZ21LFjRyIi+uqrr8oMSmhoKAGgAwcO0IEDBwiAjI8vEVHDhg3pq6++KtMHyUBbW1vTvXv36N69e3Tp0iXp76U/r1+/VorsCiHxvZX4+UpQxPf2v3i9xZaW8uP16iGZmZma7oLaYGWtnNevX5f7PS/5sba21ojCJhAIZP6gnDt3jk6cOEFCoVDhOl+/fk1isVjm3KxZs6ht27Yy5y5evChX4Z0/fz6ZmZnJnPvf//5HZmZmVFxcLLdNfVd4P6bvmqYZsWcE9Q7sLfda78DeNObgGLnXFpxbUEZRjnsbR1xvLhktNaJ5Z+cRERPH12mzE3G8OeR53FOuP65/hD/xlvDIcKkh1VlZh6xWWRFvCY8CIgPK7Yuu+fmqe05rJA7vgwcPsGzZMqSnpyMuLg6xsbFlyrx48UKlcQdzc3NRu3Zt6TGHw0GfPn1w+PBhAIxLQenc8bm5uQCA+vXrS0OPZWVllSlTOtpDSfh8vtTvd+PGjVIXCq2iKpnUqsp/LhQR33+PT+vVk+9CoWfs2LFDO5+rCmBlrZyquidJ3LrUydmzZ8u4jvXr1w/nzp3D+/fvK1zLKkKevCKRCF27dq3S/eHh4TLuYgDjUpaTk4Nnz56hZQXRYkq6jVXWR5W4jamIj+m7pmmyXmYhmhMtNzKDJJOaPOSFMGtZtyX8hvnB7agbfMJ9cCLuBGIzGJ3nk3qf4MCjA9gesV0m61pJNwZzQ3MERAcgfmY8fjn/i9SNwc7MTqYvupjNTVlzWtluY0rdtNauXTv4+vrCxMQEtWvXRpMmTWQ+Dg4OGDx4cI19yCrC3t4e7969kzlnY2MjDcXj5OSE3Nxc5OfnS6+npqbCwMAALi4ucHR0BJ/PR3p6uvR6fn4+srOz0blz5yr1oXfv3kqQRAVUdXNbVYiPB/z80ILP/xDaTI+VXUCLn6sK0BVZRSIRTp48iZMnT0IkEilUh67IWh3Ky2XfqVMnDBs2TKltXbx4EXPmzKlS2fT09DJh0czMzAAAb9++rfReV1fXSj+zZs3Co0eP4OPjg+zsbOkmvWXLluHdu3f4559/cP/+fRw7dgwnT55EREQEtm7dijdv3siUzc/Px9q1a/HkyRPs378fYWFhuHHjBgIDA5GUlCRTtri4GCtWrMCLFy+wc+dOXLt2DZcuXcLevXsRHx+P1atXo6CgQOae1NRUbNu2DfXr18eZM2cQEhKCBw8eYOPGjcjKypIpm5mZiU2bNiEmJgZHjhzBqVOncO/ePfj6+iItLU2mrEAgwNq1axEfH499+/bhwoULuH79Onbs2IGXL1/izz//hFgsxrJlyyAWi/Hnn3/i5cuX2LFjB65fv44LFy5g3759iI+Px9q1ayEQCGTqT0tLg6+vL+7du4dTp07hyJEjiImJwaZNm5CZmSlTNisrCxs3bsSDBw8QEhKCM2fO4M6dO9i2bRtSU1NlyhYUFGD16tWIj4/H3r17cenSJVy7dg07d+7EixcvsGLFChQXF8vck5SUhMDAQNy4cQNhYWHYv38/njx5grVr1yI/P1+m7Js3b9AqrxWyCrLwte/XOHDkAO7fv491m9bB84gnsgqyMMVlCpYtW4bs7Gz4+Pjg0aNHOHz4MMTvxLj36h42b9+M169fS+tNOJ4AcyNz1BXXxZOMJ2hi2AT+n/rDt4MvVjdYjZEtRmLK0SmITY/FsmXL4B/pD0MyxPz281HvRT1kFWThu6Dv8FneZ6jNr42pW6fi++PfS/sye+lsTD0+Fd2Mu+Fk35OYU3cOtrbeiqGNh2LK0Sm48+yOjIw5OTlYv349Hj16hEOHDiE0NBS3b9+Gv7+/TL+XLVsGoVCIVatW4fnz59i9ezeuXLmCK1euYPfu3Xj+/DlWrVoFoVAoc8/r16/h7++P27dvIzQ0FIcOHcKjR4+wfv165OTkSMvGxcUhIyMDmzdvRlRUFI4fP44TJ04gKioK//zzD/bs2YMJEyZAJBJh2bJlyM3Nxbp16xAbG4sDBw7g3LlzuHXrFqZPn16l73xJfa1CVGFeLigoIF9fX1VULYM8lwYvLy9q/58vqgR3d3eaPHkyERGlp6cTn8+nCxcuSK9Pnz6dBg8eLD0eNmyYTPrjW7dukaGhISUlJZXpgzxT+uHDh2skl8qJj2fcF8aMYX5WJeVwSUqENktv106x0GY6iNY/VyWiK7IqI02lqmVV1yv5mJgY+vbbb6l3795kZ2dHvXv3LvNp1qwZ2dvbK63Nw4cP008//VTmfHkuDW3btqXu3bvLnPP19SUAdOfOHbltyHMbq+ijUbcxBdCV75o+cPjwYQqIDCDeEh5ZrbKi3oG9yXKlZRmXgtJIfHg9jnrITSPsecxTrsvD3DNzyXCpIXXd1pXi3sbRmINjZFwqSvalzso6xP+DL9MXea4Ukra12c+3ojldnTVb2W5jKonSYGRkBDs7O5w6dQr29vbo0KED/P394ePjg1atWmHTpk2wtraucTtCobCMVeeXX37Bnj17cPHiRfTu3Rt5eXm4dOkSzpw5A4BxW5gxYwZCQkLQu3dv5OTk4PTp01KXB4DZYfj1118jPz8ftWrVQlBQEH766SfY29tXqV8mJiaVF1I2VU0mIa9cdS27ktBmGzbg3uXLGNirl94nnQA09Fw1hK7IyuVypQljFE1TqSuyVobkDdvYsWOlb9hKwuFw0LZtW0ypjutSBbx//x67du1CcHBwle+xtbVFamqqzLmSLmUVUdJtTJ/Ql/mnC5iYmOAb52/Qo3EP+EX4yURWqCgiQsu6LbF96HZ4HPPA4djDcLJxkkk5fPbZWRmXh5JuCLX4tRCRGgHHfxwxoMUARKd9cKmY7DwZPRr3wJY7W7Dxzka42rpi5/Cd0r6Ulw3OhG+i1dncKprT1Vmzle42ppD6XgWMjIzIx8eHsrKy6NKlS8ThcKhfv360fv36CnfkVpWDBw9Su3btiMvl0rp16ygtLU16LSoqioYMGUJLliwhDw8PunLlisy9RUVFNHPmTPrxxx/pu+++o/PnywaIDgkJoTFjxtDMmTPp119/rdaGivDw8BrLVy2qmkxCyUkniErIqudJJ4g08Fw1CCur8lD3pit1vGETiUTk4eFBycnJcq+XZ+GdO3cuWVtby5ybP38+NWjQoMxmOAn6vmntY/quaZqajnV8RrzM5jFJdAaJJTa/KF8mokNGXgZZrrSkeWfnkcdRD+J6cyu0FJdOdlGy3pJou4VX3XNa41Eapk6dKv29W7du1KxZMxL8pyQtWrRIVc2qHXkDrQ53DimSLGtTp1acZa2q5Spry9GRyNqaUWzj4mRl7d2bcZPQU9T6XDUMK6vy0ITCdvLkSTp58iRFR0cTEZGfnx85OTnRqFGjZIwDivLzzz9TRESEzLmS9Zan8EZGRhIAev78ufTcwIEDacaMGeW2pe8K78f0XdM0qhrrki4Pc8/MJatVVvQu/52MIitRUgfvGlwllwplZIPTFOqe0xrPtCbZmLB3717cunULK1askGZGu337tqqa1QqGDBmivsZKJpOQvEaQJJMwN2eSSVSnXHkEBACOjkBCAvDuHeDrCzg6YrRk858k6YSDgyqk1ArU+lw1DCurbjN8+HA8e/YMDg4OuHz5Mjw8PFC/fn10794dCxcurFHdv/76K8RiMdLS0nDmzBmcOHEC8+fPx927d6VlJLumS7ucOTs7Y9iwYQgJCQEAJCUlITo6usZ90mX0cf5pKzUZ65JZ1haeX4j4jHjpNYnLQ0BUADbe2QgxidHcp7lM1jaJG4K5sTliZ8Zimss02NS2gaerJ2JnxspEXKhJNjhtQGvntKo07q1bt1KnTp2Iz+fTiBEjiIgoLi6OPDw8iMvlqqpZtSPvfxZqDSQ+ZgxjWZVHSYtrVcvJo6R1+P595vfJk4kmT2YSUMTEVM9SrKN8TAHidUXW/Px8+uyzz+izzz6j/NLxpauIqmXVhIVSVW/YVq9eLTephqWlJRUVFRER0Y0bN2j48OEEgKZPn04xMTEydWRnZ9PEiRNpzpw5NH78+DKW4tLou4VXV75r+oCiYy2JnSuxysqLnUvEuDxIE0qcnVfthBRE8pNcxKTFfIjve8xTay27EioaZ2Ws2aXRuEsDEVFycrLMYvbw4UO6desW3bp1S5XNqhWNL8ZVTSZRk6QTpfx2JUknyNKSyMCAyNj4o4jSwKJ9KCNKg6rRxBrxyy+/EBFRcHAwcTgc2rdvn/Tal19+qbZ+KAONr7EsHzXyFNCK3Aoqi+hQmbI67dg0Ml5mTKP2j5JJMqHtfrtVRRVrtsZdGgDAzs4OHTt2lB63adMGXbp0QZcuXVTZrMaRxKJTC+7uQFYWEyVBIGDOCQTApElAZiYQEwMsXMjE3JVXripJJxITAScn4D+XFEyeDMTGAp6eyDUyApo2ZY4nT1aubPHxTN/HjmV+xsdXfo8KUetz1TC6IquRkRFCQkIQEhICIyMjherQFVmrQ7NmzdC5c2dMnDgRw4cPx+jRoxEfH4+pU6ciLCxM091jKYE+zj9tRZGx9o/0h4WxBXwG+UiTVZjwTeAzyAfmRubwi5B1Byzp3mC/zh59gvpU2Q0hIDIA2yK2QSQW4W3+W/hG+MLxH0cERgVqfWSGklQ0zspYsxWFQ0Sk1hb1DHt7e7x69Qp2dnZITk4GABQUFEj9ldVCYCATEszCglFMw8OBvDzA1BTo3BmIjmaU3cmTmbKSclFRjLK7fXvFyurChYzPbnLyB/9fABAIQHZ24Hh6AitWKFemgAAm/JmkrxIZKuurClH7c9UgrKzKQ94aoQ5evXqF9PR0qdHh0aNHyMnJAQCdMjpoavzUxcf0XdM0ioz12ENjkZabhguTLpS51ieoD2xq2yB4RNnQfE/fPZWGPnOwcJAb+iw+Ix7+kf5IzEqEuaE5/CL90M66HV5mvcSrOa8AAF6nvRAQFYAozyj0DOwJT1dPrOin5L+3Skbdc7qqa4RKLbwfKxs3blRvgxKL67RpQK1aQH4+MHo08OYNcOECo6i6uTHK7tmzTDkbGyYdcFUss+VZkb28QFlZ1UtJXBVKxvpNTpaVwcMDePpUue1VEbU/Vw3Cyqr7fKxv2HQNfZ1/2ogiY+1g4SCNnVsSSTpiBwsHufe1sGqBFf1WIHhEMFb0W1FG2ZVsTPON8EVabhp23N+BYirGSMeRyC7MhtdpLwCQWpK/C/kO2YXZmOKi5L+3KkBr57RSHCjkUF7cWiKiZ8+eqapZtSPPdyQuLk5zHSrtbyuhpnFyJX67khi+lpZEPB6lrFxZ4y6XQVUy1BCNPlc1oyuyikQiunjxIl28eJFEIpFCdahaVtYHtWbo+/jpyndNH1BkrGvqk1tRnSX9gkftH0W2a2yJt4RHK6+ulNkkZ/CHAXG8ORVmg9MmKhpnZazZpdG4D++OHTvKvebj46OqZrWCe/fuaa7x0v62EkxMAGdn5roilLQil7AOXyqVzUkpqEqGGqLR56pmdEXWgoIC9O7dG71790ZBQYFCdeiKrCz6CTv/1IciY10Tn9zykOcX3NyyOQqLC2FmaIbMgkxp6LK6terCgGuAaa7TZEKXaTMVjbMy1mxFUZnC6+fnh+LiYplzQqEQP/zwg/aau5VEgwYNNNe4gwPj7yqQff2ilDi5LVowvrrBwczPFi1UI6sqZagBGn2uakZXZOVwOGjTpg3atGkDDoejUB26Imt1EIvF5V57/vy5GnvCUhn6OP+0FUXHerLz5Epj51YHeSmD3Tu6I6sgCyZ8Ezx9/xQtrFrg916/o45RHQiLhZj32TyF2tIEFY2zMtZsRVGZwisUCjFt2jTpwvvs2TN069YNQUFBcHJyUlWzWoGBgYHmGq/A37bSaAwKoBJZ1SxDVdHoc1UzuiJrrVq18PDhQzx8+BC1atVSqA5dkbU6fMxv2HQNfZx/2kpNxroyn9zqIM8vuGXdlvj3q3+RkpuCE3Enqm1JrigxhrqpaJyVsWYrisoU3vPnz8PNzQ1Tp07Fzp070bFjRxARIiMjcfnyZVU1qxUkJCRorvGWLZlIBgEBgL09E47Mzo453r6dsdIqEZXIqmYZqopGn6uaYWXVbT7mN2y6hj7OP21FW8ZaYs31Ou0lVXoFQgHuvLoDLrj4uvXXSM1NRYPaDeDR0QPdG3WvsL7SG+BKhjPTBNoyzqVReViya9eu4auvvoKHhwdWrVoFAwMD7N+/H6NHj1Zls2pDXjiMFy9eoIkqfFurw9OnTLrgxETGBWDKFJUoiiqVVU0yVBWteK5qgpVVeWgirFbXrl3Rtm1bbNu2DVwuF8+ePcO3336L2NhYtGrVChEREWrphzLQ97BkH9N3TdOoa6xLhhtzsHCAe0d3tKzbUqZMYFQgPI55wMLYAk42TohKjUJ2YTYmOU1CUHSQ9Hx0WjSyCrKwfeh2uS4U8RnxcPzHEe4d3bFh4AaY8E0gEAow6cgkHHx0EINbDkZ76/Zy+6Aq1D2n1R6WbPDgwejTp0+Zz++//44mTZogMjIS/fv3R69eveDp6amsZrWSPXv2aLoLcv1tVYFKZVWTDFVFK56rmtAVWQUCAb788kt8+eWXEJT2+a4iuiJrdfiY37DpGvo4/7QVdYx1Va2t8vyCz3x3BkHRQXDv6I7k2cm4MOkCkmcnw83ZDR7HPPD0XdmQnPI2wO19sBeHeb6h4wAAO/NJREFUHh0CAMSkx6jd4lvROCtjzVYUpVl4x48fj+TkZDg4OIDLLV+PLi4uxqVLl/Dy5UtlNKtx5P3Pori4GDweT8M9Uw+srPqJrsial5eH2rVrAwByc3Nhampa7TpULasmLZT68IZN3y28uvJd0wdUPdblWVslySNiZ8ZW6Iu78PxC+Eb44tWcVzIb2gRCAez+tpObdKJ0YoySfYjLiIOtmS38h/pXuQ/KoKJxVsaaXZqqrhFK85afMWMG2rRpA0tLy0rLHjt2TFnNaiUrVqzAokWLNN0NtcDKqp/oiqxGRkbYtWuX9HdF0BVZK2Lw4MHlhvgp+YatuLgY9+/f1ymFV9/Rh/mnK6h6rEtaWyUKqyQN8aHHh+AX4VdhljR50RskdZSXVtjBwgGhz0IhEApgwjeR9mFVv1Vo7tMc3ey7VasPyqCicVbGmq0oak8tHBMTg7Zt21ZoBdYl9N36wMLCUjPUsUbo8xs2do1l0RUUTUMsQWLhTZ6dLHVPACq28Eosum7ObvAZ5AP3Y+54nf0areq2KmPRrUofdBGtSC2cl5eH5ORkvHz5Uubj5uamymY1zrJlyzTdBbXByqqfsLLqFjNmzMCRI0cQFBSEgICAcj87duzApk2bNN1dlhLow/zTFVQ91oqmIZZQXvQGr9Ne5aYVLp0Y40bSDVx9ebVMOLOq9kEZaO2cVkpeNzls3LiReDwecbncMp969eqpqlm1Iy+l3cuXLzXYI/XCyqqf6IqsIpGIwsPDKTw8XOE0laqWVZtS496/f7/CtO/aiDaNnyrQle+aPqDqsVZGGuKAyACZtMKWKy2Jt4RXaVrh+Ix4WnBuAX21+yvieHNo1P5RSkuFXF0qGmdlrNml0XhqYX9/f2zevBkhISH4/vvvceHCBYSFhWHChAm4du2aqprVCsLCwjTdBbXByqqf6IqsBQUF6Ny5Mzp37qxwmkpdkbW6fKxv2HQNfZ1/2oiqx1oZaYgVzeomSYxxYtwJ+A/zx+HHh5WWCrm6VDTOylizFUVlKV4GDhyIqVOnAgBu376Nnj17gsPhoG7duli2bBl27typqqY1TqtWrVTfSHw84O//IUatuzuTsEHNqEVWLYGVVfvgcDjSeI+KpqnUFVmrw6ZNmzBr1iyQnC0aVlZWGugRS3no4/zTVtQx1pOdJ6NH4x7wi/BDYlYiPF09McVlSrUUTYnyqsk+1ISKxlkZa7aiqEzhTUxMRFhYGFxcXDBkyBAsWLAA3t7euH79Oo4fP66qZrUClceWCwgApk4FLCwAJycgNBRYvZrJQjZ5smrbLoW64+hpElZW7aNWrVpITEysUR26Imt1kLxhs7GxQWhoKEaNGgUiQmBgIBYuXKjp7rGUQB/nn7ZS2VhXJWFEVaipwqoMNNmHisZZGWu2oqjMpcHd3R3Dhg3DvHnz0LVrVxQUFMDU1BQ//PADevXqpapmtYKMjAzVVR4fzyi77u5AcjJw4QLz080N8PBgspOpEZXKqmWwsuon+iir5A3b0KFDYWFhgZ49e+KLL77A3LlztXdDyUeKPs4/baWisda29Ly6jLbOaZVZePv164e3b9+Cz+cDADZs2IChQ4eioKAAAwYMUFWzWoGTk5PqKvf3Zyy7Pj6A8X+x+kxMmONDh5hUvCvU9786lcqqZbCy6if6KOvH/IZN19DH+aetlDfW8RnxmHp8qtyEER7HPNCjcQ+luwMoy5qsKmrSP22d0yqz8Obm5sLLywtTpjBhNDIyMnDv3j2YmJjAwEBlerZWcOLECdVVnpjIuDEYywamhokJ4OzMXFcjKpVVy2Bl1T4KCgrw9ddf4+uvv1Z4A4SuyFodPuY3bLqGPs4/baW8sZaXnleSrMHcyBx+EX5K7YcyrMnxGfFYeH4hxh4ai4XnFyI+I15r+lfRnFbGmq0wSokJIQc3NzeytramkSNHypwfPnw47dq1S1XNqh154TDy8vJU1+CCBURWVkT5+bLn8/OJLC2Z62pEpbJqGays2kdubi4BIACUm5urUB2qllVTYbUEAoFM2J/z58/TiRMnSCgUqrUfNUXfw5LpyndNHyhvrMccHEO9A3vLvdY7sDeNOThGaX2QhC6bemyqwmHD/CP8ZUKXWa2yqlLoMnX1r6I5rYw1uzQaD0sWGRmJJ0+e4NNPP5U5379/fyxevFhVzWoFf//9t+oqd3cHsrIALy9A4hguEDDH2dnAlLKBqVWJSmXVMlhZtQ9DQ0P4+vrC19cXhoaGCtWhK7JWh4/5DZuuoY/zT1spb6xrmjCiOtTUmlzS/SJ5djIuTLqA5NnJcHN2g8cxDzx9V7N9PMqwdlc0p5WxZiuMUtRrOcyYMYOIiFauXClzfvz48WRmZqaqZtWORqwPAQFEPB5j6e3dm7Hs8njMeRYWFq1CE2uEPr1h03cLL4vmUUbCiKpSU2vygnMLyGqVFQmEApnz+UX5ZLnSkhacq9lbXnVau5WFxi281tbWSElJkcZZy8zMxM8//4w9e/bgm2++UVWzWoHKd0FPngzExgLTpgE2NoCnJ3Os5pBkgBanEFQBrKz6iT7K+jG/YdM19HH+aSvljbUyEkZUlZpakxOzEuFk4wRjA9l9PCZ8Ezg3cEZiVqJG+wdo8ZxWlcYtEAjoxx9/JAcHB3J0dCQTExPicDg0fPhwysrKUlWzakfe/yzS09M12CP1wsqqn+iKrMXFxfTgwQN68OCBwilzVS2rJiyU+vSGTd8tvLryXdMHKhtrSXreMQfH0IJzC1SShrem1mSJhVdyrwRlWXiVYe2uaJyVsWaXRuMWXmNjY/j4+ODy5ctYu3Yt9uzZg9jYWBw6dAjm5uaqalYrOHz4sKa7oDZYWfUTXZFVIBCgXbt2aNeuncIB/HVF1urwMb9h0zX0cf5pK5WNtSRZQ/CIYKzot0Ilmclqak127+iOrIIseJ32klphJSHUsguzMcWlZvt4lGHtrmiclbFmK4pSdy88efIEGzZsQFJSEhwdHTF79mw0btwYjRs3VmYzWk+nTp003QW1wcqqn+iSrPXq1avR/boka1X55ZdfMH/+fBw/fhyBgYFITExEQUEBvvnmG2zcuFHT3WMpgT7OP21FW8a6Jql/JQqpxzEPHI49DCcbJ0SlRiG7MFtp7hc1TU1c2TjXdM1WFKUpvFFRUejVqxdycnIAACdPnoS/vz/u37+Phg0bKqsZnSAlJUXTXVAbrKz6ia7Iampqijdv3tSoDl2RtTpI3rDNmzcPDx8+RGFhIdq0aVNhjnsWzaCP809b0aaxrknq35oqpKruX0XjrIw1W1GUpvAuXrwYjo6O+P3339GiRQs8f/4cS5Yswdq1a7F27VplNaMTFBcXa7oLaoOVVT9hZdU92Ddsuom+zD9dQJ/GuiYKqarR1nFWmsL77NkzhIeHo1atWgCAVq1a4bPPPoOnp6eymtAZHBwcNN0FtcHKqp+wsuoW7Bs23UUf5p+uwI61etDWcVbapjUHBwepsivB3NwcrVu3LlP2wIEDympWK7l69aqmu6A2WFn1E12RtaCgAOPHj8f48eMVTlOpK7JWhOQN24kTJxAbG4tTp06hZcuWH93bNV1EH+afrsCOtXqoaJyVsWYrCoeISBkVOTg4YPHixShd3alTpzB48GDpcX5+Pvz9/REREaGMZjWOvb09Xr16BTs7OyQnJwMA3r17BysrKw33TD2wsuonuiJrXl4eateuDYDJLmZqalrtOlQtq7w1Qtm0a9dO5g0bAGRnZ8PT0xPBwcEqaVNdqGP8NImufNf0AXas1UNF46yMNbs0VV0jlObS8PLlS2kay9KUDlEhCZVTEwoKCrB161YEBwfj1q1bZa5/8803OHLkiPT45s2b6Nq1KwCgsLAQP/30EwwMDPD27VvMmjVLek3C/v37ERISAjMzMzRu3BiLFi2qct/+/fdf+eXj4wF/fyAxEXBwYNIEt2xZ5Xq1kXJl1UNYWbUPQ0NDrFu3Tvq7IuiKrBVR3Tdso0aNUlfXWCpBH+afrsCOtXqoaJwrW7PjM+LhH+mPxKxEOFg4wL2jO1rWVY6epDQL7/jx47Fo0aIyi25p8vPzsWzZMuzevVvhtkQiEXbu3Ik1a9YgLy8PiYmJMtefPHmC3377DZ999hkAZlfg1KlTpdfHjRsHBwcHLF++HCkpKXB2dsadO3ekmzvOnDmDmTNn4uHDhzAyMsLQoUPRt29f/PTTT2X6UmXrQ0AAMHUqYGEBODkB0dFAVhawfbtGMqSxsLCoB3VYKPX5DZu+W3hZWFgYAiIDMPX4VFgYW8DJxgnRadHIKsjC9qHbMdl5crn3VXmNUEqaCyK6ceOGSspWxC+//EJNmjQpc37mzJmUlpYm957w8HACQPHxH7KFDBgwgNzd3aXHbdu2pV9//VV6HBwcTObm5pSbm1umPnkZPpYuXSpbKC6OiMcjmjqVKP+/7Cj5+UQeHsz5eOVnc1EXZWTVY1hZ9RNVy6qOTGEcDqfKHy6Xq7J+qAJ9z7T2MX3XNA071upBkXGWZHibemxqtTO8qT3TWrdu3VRStiKMjY3LnEtJSYGfnx8GDRqEv//+G4WFhTLXDx48CDMzM7Ro8SFenaurKw4cOACxWIzHjx/j4cOHcHFxkbmenZ2N06dPV6lfXl5esif8/RnLro8PYGLCnDMxYY7NzQE/vypKrH2UkVWPYWXVPsRiMRITE5GYmAixWKxQHboia0WMHTsWDx8+REJCQoWfhw8fYsyYMZruLksJ9GH+6QrsWKuHisa5vDXbP9IfFsYW8BnkAxM+oyeZ8E3gM8gH5kbm8IuouZ6kstTCmiImJgaDBg1Ceno65s6di65du8oEOQ4PD0fdunVl7rG2tkZOTo40tBoAmTLW1tYAgMjIyHLbFQqFiIiIQEREBJYuXSr9PSIiAu8iI5HTrBkiHj2SDchsYgI4OzM+vTpKYGCgprugNlhZtQ+BQICmTZuiadOmCqepVFTWlJQUme95eR+hUKhQ/dVh5syZcHR0RJMmTSr8ODo6YubMmSrvD0vV0ZXvmj7AjrV6qGicy1uzE7MS4WTjBGMDWUOmCd8Ezg2ckZiVWON+6Z3C279/fxw6dAgvX76Er68vHj16JLOZLj09vczuQTMzMwDA27dvkZ6eDgAyZUpeL4/09HS4urrC1dUVa9askf7u6uqKrWfPoujuXXR3dcWsWbPw6NEj+Pj4IDstDYJbtwAHByxbtgzv3r3DP//8g/v37+PYsWM4efIkIiIisHXrVrx58wbLli0DACxbtgz5+flYu3Ytnjx5gv379yMsLAw3btxAYGAgkpKSZMoWFxdjxYoVePHiBXbu3Ilr167h0qVL2Lt3L+Lj47F69WoUFBTI3JOamopt27bhzp07OHPmDEJCQvDgwQNs3LgRWVlZ0rJPnz5FZmYmNm3ahJiYGBw5cgSnTp3CvXv34Ovri7S0NJl6BQIB1q5di/j4eOzbtw8XLlzA9evXsWPHDrx8+RJ//vknxGIxli1bBrFYjD///BMvX77Ejh07cP36dVy4cAH79u1DfHw81q5dC4FAIFN/WloafH19ce/ePZw6dQpHjhxBTEwMNm3ahMzMTJmyWVlZ2LhxIx48eICQkBCcOXMGd+7cwbZt25CamipTtqCgAC9fvkR8fDz27t2LS5cu4dq1a9i5cydevHiBFStWoLi4WOaepKQkBAYG4saNGwgLC8P+/fvx5MkTrF27VurLLin75s0bbN26FRERETh58iSOHTuG+/fv459//sG7d+9kymZnZ8PHxwePHj3C4cOHcfbsWdy5cwd+fn54/fq1TNnCwkL89ddfePbsGYKDg3Hp0iVcvXoVu3btQmJiIlauXAmRSCRzT3JyMnJycnDr1i2cO3cOBw4cQGxsLNatW4fc3FyZsm/fvsWWLVsQFRWFEydO4Pjx44iKisLmzZuRkZEhUzYnJwfr16/Ho0ePcOjQIYSGhuL27dvw9/cv02+hUIhVq1bh+fPn2L17N65cuYIrV65g9+7deP78OVatWiUtU6tWLfD5fKSkpMDf3x+3b99GaGgoDh06hEePHmH9+vXIycmRqT8jIwObN29GVFQUeDweTpw4gaioKGzZsgVv376VKZubm4t169YhNjYWBw4cwLlz53Dr1i1Mnz5d5nte3keypqgSTbxhY1EO/fr103QXPhrYsVYPlY1zrVq1yuz3crBwQHRaNARCWcOFQChAVGoUHCwcat6xajtaaBGLFy+W68Nbkq1btxIASk5OJiLGP7d79+4yZXx9fQkA3blzh1avXl3Gx7eoqIgA0A8//FCmfonviLW1Nd27d4/OnDlDX375JZ05c4bu3btH9+7dowchISTm8ejN11/T62fPmBv1wIf39evXNHr0aHr9+rWmu6JyWFn1k5rI+vr1a+l3vKKPtbW1Xvugqhp99uH9mL5rmoYda/Wg6DhLfHg9jnpovw+vtjJlyhRYW1vjxYsXAABbW1tkZWXJlMnNzQUA1K9fH7a2tgAgU6bk9fLg8/lwcXFB/fr1ce7cOdSvXx8uLi5wcXFB26+/Bmf7dtQ7fhy2nToBffoAdnZM5Ibt24ES/sS6REpKCvbv369V+clVBSurflITWW1tbaXf8Yo+fD5fBT1n0Qc+pu+apmHHWj0oOs4t67bE9qHbERAVAPt19ugT1Ad2f9shICoA24duRwurmutJeq/w8ng8NGnSBPb29gAAJyenMq8YU1NT0aBBAzRu3BhOTk4AIFMmNTUVANC5c2fFOzJ5MhAbC0ybBtjYAJ6ezDEbkoyFhYWFhYXlI2ey82TEzozFNJdpsKltA09XT8TOjK0wJFl1UFriCW0lJycHjRo1ksbY/e6777B27VokJCSgadOmAID79+9j+PDh4HA4aNeuHZycnHDr1i0MGjRIer1evXr44osvataZFi2AFStqVgcLC4uUwsJC6SasTZs2wcjISMM9YmFhYWEpj8rW7BZWLbCin2r0JJ228AqFQohEIplzM2bMwD///IPi4mLk5ORg/vz5WLVqlfS6s7Mzhg0bhpCQEABAUlISoqOjsXDhQmkZb29vHD16VBoyIygoCEuWLIGJJKQYCwuLViASibB9+3Zs3769zFrAwsLCwqJdaHLN1lkL76FDh3Ds2DGkpKRg/fr1GDduHKytrWFmZoYFCxZg7dq16NWrF5YtWwY7OzuZe3fu3ImZM2di7ty5SEtLw8mTJ6UuDwDw9ddfIy0tDW5ubjAyMsKAAQMwY8YMdYvIwsJSCXw+XxpRgfWVZWFhYdFuNLlm66zCO2LECIwYMaLM+VWrVslYdOVhZmaGoKCgCst4enrC09OzRn1kYWFRLYaGhvj111813Q0WFhYWliqgyTVbp10aWFhYWFhYWFhYWCpDZy28LCwsLEQkTQhTr149cDgcDfeIhYWFhaU8NLlmswovCwuLzpKfny9N/Z2bmwtTU1MN94iFhYWFpTw0uWZziIjU1poeYmhoCKFQCC6XC1tbWwiFQqSnp8Pa2lrvN9GwsuonuiQrEeH169cAgIYNG1bbWqAOWVNSUiAWi8Hn81FUVKSSNvSZ0musPqFL3zVdhx1r9VDZONd0zZZHVddYVuGtITweTxq+jIWFhaU8uFwuiouLNd0NnYNdY1lYWKpCZWss69JQQ4yNjVFQUAAejyc107OwsLBISE9PR3FxMYyNjTXdFZ2EXWNZWFgqoqprLGvhZWFhYWFhYWFh0WvYsGQsLCwsLCwsLCx6DavwsrCwsLCwsLCw6DWswsvCwsLCwsLCwqLXsJvWVERoaCjOnDmDli1bolevXmjTpo2mu6Q0hEIh/vjjDxARjI2NkZiYiN9++w1NmjTRdNeURkFBAbZu3Yrg4GDcunVL5tqLFy8wf/58NGzYEG/evMGaNWvQoEEDDfW05pQnq1AoxK+//oodO3YAAL799lusWLECtWrV0lRXa0RFz7QkX375Jbp37w5vb2/1dY5FL6jKHIuNjYWvry8aNWoEJycn9OnTBwATrmnRokVIT09Hfn4+xowZgyFDhsjce+HCBWzZskUa8mn16tUwMPj4/oxXNM67du3CnTt3UL9+fSQmJmLChAno1auX9Do7zlUjNTUVP/zwA86fP4/69etj7ty5+P7776XXK/s7qJXjTCxKRSwW05w5c2jq1KkkFAo13R2V8Pvvv9Nff/0lPb5x4wZ16NBBgz1SLkKhkPz9/alNmzbUpEkTmWt5eXnUvHlzOnv2LBERHTp0iD799FMSiUQa6GnNqUjW33//ndzd3Sk4OJg8PT0JALm7u2umozWkIjlLsmPHDgJAixcvVlvfWPSDqsyxvXv3Uq9evSg9Pb3MtYULF9LYsWOJiFlnGjVqRHfu3JFej4qKIhsbG3rz5g0REf344480a9Ys5Qui5VQ0zmFhYTR48GDpcU5ODjVu3JiSkpKk59hxrhqDBg2ixYsX065du6hv374EgHbs2EFEVfs7qI3jzCq8SuZ///sf9enTR2cVoKrQoUMH2rdvn/RYIBAQAHr79q0Ge6V8fvnllzIL6l9//UV2dnbSY5FIRKamptKFQFcpLatYLKYlS5bIlJkyZQoZGBhQQUGBmnunPOQ9UwkZGRk0evRoatKkCavwsihMeXPs9OnTZG9vTykpKWWuJScnk6GhIZ07d056ztPTk/r06SM9Hjx4MI0fP156fPPmTeLxeJSQkKDU/usK8sbZy8uLvv/+e5lzXbp0oYMHDxIRO85V5cGDB3TgwAHpsVAopNatW9Pnn39ORJX/HdTWcWZ9eJXI7du3sXr1agQEBIDH42m6OyqjXr16WLt2rTSjyfXr19GuXTvUrVtXwz1TLvJi+h08eBAuLi7SYx6PBycnJ+zbt0+dXVM6pWUVCoX44YcfZM4NGTIEIpEIOTk56uyaUqkoTuOiRYvwxx9/qLE3LPqIvDmWk5ODSZMm4a+//pLr/nTs2DEUFRXJrC2urq64ePEi0tPTkZ2djdDQUJnrzs7OICIcPHhQNYJoOfLGuV69eggODkZCQgIA4P3793j+/Dm6dOkCgB3nqmJlZYURI0ZIjw0MDDBo0CC8e/cOQOV/B7V1nFmFV4ksXboUnTt3RmBgIPr164fu3bvjwoULmu6W0lm0aBHu3buHL7/8Enfv3sWyZcsQEhKi6W6pnOLiYty7d6+MYm9tbY3IyEgN9Uo1GBoalpFTJBKhRYsWqFevnoZ6pTquXLkCW1tbtG7dWtNdYdFDtm7dCoFAgMzMTIwcORIdOnTAxo0bpdfDw8PB5XJhaWkpPWdtbQ0iQnR0NCIjIyESiWS+k8bGxjA3N9e7tacmTJs2DcbGxvj8889x8+ZNeHh4wM/PD/b29gDYca4qtra2ZVL+ikQidO3atUp/B7V1nFmFV0nk5eXh3LlzaNiwIX766SecPn0adnZ2GDx4sPR/m/pC7969sXv3bty8eRPdunXDunXr0KJFC013S+W8e/cOxcXFsLKykjlvZmaGt2/faqhX6uPcuXOYN2+epruhdIqKirB+/Xr88ssvmu4Ki54SEhKCxo0b48svv8TBgwcxZcoUeHl5ITg4GACTKapOnToySoaZmRkA4O3bt0hPTweAj3btqSo2NjY4f/48iAifffYZevfuLbNRih1nxbl48SLmzJlTpb+D2jrOrMKrJJ4/f46ioiJ8++23sLCwAJ/Px59//onCwkKZ/8nrC69fv8b06dNhamqK/v3748GDB5ruksqRfHlNTExkzhcXF4PP52uiS2rj1atXePz4MaZMmaLpriidVatWYfbs2TA0NNR0V1j0lNjYWPTu3VtqGPDy8oKdnR1Wr14NgFlb5K0rAMDn8z/qtae6vHnzBv3790fbtm0xe/Zs7N69W3qNHWfFCAkJQb9+/dCmTZsqjZG2jjOr8CqJ3NxcAEDt2rWl51q2bIlGjRohLi5OU91SCUFBQbh+/Tp8fHxw5coVAMCwYcMgFAo13DPVUrduXRgaGiIrK0vmfG5uLurXr6+hXqmHBQsWIDAwUO9C88TFxSEtLQ2ff/65prvCosfk5ubK/G3gcDjo06eP9G+Dra2t3HUFAOrXrw9bW1sA+CjXnurw8OFDfP/99/j3339x7do1uLq6ws3NDbGxsQDYcVaE9+/fY9euXfjrr78AVO3voLaOM6vwKgmJj5DEqVuCjY1NGbO9ruPt7Y0xY8YAADp06IBjx44hMTFRL/2VS8LhcNC+fXvp6xgJqamp6Ny5s4Z6pXpWr16NSZMmoWnTppruitIJDg7GP//8Aw6HI/28ePECS5YsKePDxsKiKPb29hX+bXByckJubi7y8/Ol11NTU2FgYAAXFxc4OjqCz+fLrD35+fnIzs7W67WnuqxZswZ9+/aFiYkJ6tSpg1OnTsHa2hpBQUEA2HGuLsXFxZg/fz58fHykb8Cq8ndQW8eZVXiVRKNGjdChQwfcvHlT5vy7d+/Qt29fDfVKNWRlZcHIyEh63LVrVzg7O0MsFmuwV+rhu+++kwl0LhKJ8PjxY4wcOVKDvVIde/fuRd26ddGvXz/pudILnS7j6emJyMhImY+tra30PAuLMvi///u/Cv82fPvtt+Dz+bh9+7b0+v3799G/f3+YmZnBysoKgwcPlll7YmJiYGhoWCaY/8dM6b9NVlZW+Pbbb6V/m9hxrh4LFy7EjBkzYGdnJz2Xnp5e6d9BbR1nVuFVIqtWrUJwcLDU6fru3bswMTHBuHHjNNwz5TJu3DgcOXJEepybmwsul6t3r4WFQiFEIpHMuSlTpoCIEBERAQA4fPgw2rRpIxPCRReRJ+vJkyexa9cuNGzYEGfOnMGpU6ewceNG+Pr6aqiXNae0nA0aNICzs7PMx9DQUHqehaW6yPsu/fLLL0hJScHFixcBMJucL126hP/9738AmNe8M2bMkEa7ycnJwenTp7F06VJpHYsWLUJYWJjUahYUFISffvpJ+nbxY0PeOI8bNw6nTp2Sca+Lj4+XvpFkx7nq/PrrrxCLxUhLS8OZM2dw4sQJzJ8/H3fv3q3076C2jjOHiEhltX+E7N+/H/v27YOzszNevnyJxYsX690XpaCgAHPnzoVQKISjoyPS09Ph5uaGVq1aabprSuPQoUPw9vbGo0ePsHbtWowbNw7W1tYAgMePH+P333+Hg4MDMjIysHr1ap2OQSxP1vj4ePTt2xeFhYVlyt+9exeurq4a6GnNqOiZlsTBwQGTJ09mUwuzVJuK5lh0dDR+++03fPrpp0hKSsLEiRNljARCoRBz5swBh8PB+/fvMXny5DJvB48cOYJ9+/ahXr16sLCwwB9//AEu9+OzW1U0zps2bcLly5fRqVMn5OXl4bPPPsOAAQOk97LjXDlr1qzBzz//XOa8paUl0tLSwOfzK/07qI3jzCq8LCwsLCwsLCwses3H818WFhYWFhYWFhaWjxJW4WVhYWFhYWFhYdFrWIWXhYWFhYWFhYVFr2EVXhYWFhYWFhYWFr2GVXhZWFhYWFhYWFj0GlbhZWFhYWFhYWFh0WtYhZeFhYWFhYWFhUWvYRVeFhYWFhYWFhYWvYZVeD9Sbty4gXHjxoHD4aBx48YYPHgw2rZti6FDhyIyMrLG9d+/fx+enp5o3769wnWEh4dj4sSJGDhwYI37UxFCoRC7d+9Gly5dEBgYqNK2ShMeHg4rKyskJyerpb3MzEwEBgbC2toapqammDx5svQzevRo1K5dWyZtdE158+YNli9fjsaNGyMxMVFp9bKwsLCwsFQHVuH9SPnss8+waNEiAMDvv/+OU6dO4fbt20hLS0PPnj3x+PHjGtXfuHFj5OXlIScnR+E66tevj/j4eBQUFNSoL5UhEolga2uL8PBwlbYDADExMTLHtra2GDhwIOrUqaPytgGgTp06mDx5Mnr37g1LS0sEBgZKP/v378eOHTtq3IZYLMbDhw+lx0ZGRkhKSqpxvSwsLCwsHyfz58+HpaUlPvvsM7x48UKhOliF9yOmVq1aMse1a9fG77//jtzcXGzYsKFGddepUwfNmjWrUR1NmzZFy5Yta1RHVTAxMUGvXr1U3g6AMvnJGzVqhD179qB27dpqaV+CiYmJ3PNfffUVLCwsalT3/v37cefOHQDMf1o6duxYo/pYWFhYWD5erly5gh49euD169do3Lgx5syZo1A9rMLLIkOLFi0AQCkWOS635tNLGXVUBR6Pp/I2li5dirNnz6q8nZpgZGSE3r17K3x/TEwMpk+fLnNOXc+QhYWFhUX/aNy4MYYOHQoTExMsWLAAjx49Uqge9i8RiwwJCQkAgE8++UR67uDBg5gzZw4GDBiALl264ObNm9JrGzZsgIeHB3744Qd07NgRly5dkltvcXEx/u///g9t27bFli1bkJ2dLbfc8+fPMW7cOMyaNQsjRowo4wIgEAjg7e2NGTNmwNnZGW5ubjJ1nTt3DpMnT8aMGTPQpUsXXLlyRXotIyMDCxcuxJQpU9C+fXvMmTMHQqGw3LEor3xycjJ+++03NGjQAA8fPkTz5s0xePBgAMDevXsxYcIEzJ07F05OTti/fz8A4NKlS7hw4QIAYPr06diwYQPev3+P1atXo2nTpjL+rQ8ePMC0adMwe/ZsfPbZZ1i5ciWICABw8eJFjBgxAh4eHjh79ixatWoFa2trnD59ulw5qkpiYiKCgoKkx2KxGL/++iu8vLwwefJkdOnSBQ8ePAAA3Lt3D+7u7hg0aBD27dsHKysr/PHHH/Dz80NWVhaCgoIwffp0ZGZmSuvLy8vDpEmTYGpqiuHDh0MkEpXbl5ycHHh5ecHHxwc//fSTUuRjYWFhYdE9HBwcpL/n5eXh008/VawiYvloSUhIIAC0bds2IiLKysqiLl26UJ06dSgpKYmIiC5dukQbNmyQ3jNlyhSqW7cuZWZm0qVLlwgAFRYWEhHR2LFjqVOnTtKyixcvpiZNmhAR0ePHj2nkyJGUnZ1dbn+ysrLIwcGBbt26RURE79+/J2tra+rVq5e0zMyZMyk5OZmIiN69e0f169enKVOmEBHR5cuXqW3bttL+TJw4kerUqUPFxcXSY0n7CQkJZGBgQEuXLpXWDYACAgKkx+WVf/HiBX3//fcEgP766y/avn07/fbbb/T8+XPicrn05MkTIiJauHAh1a9fX1pfQEAAlfzKpaWl0YoVKwgAJSQkEBHR69evqVGjRpSamio9rl27Ni1fvpyIiJ49e0YODg7k7OxMgYGBlJKSQl9++SW1adOm3HGVx6RJk6hWrVo0adIkmjRpEo0ePZrMzc1l5A8MDCRbW1vpcbdu3WjUqFFERPTo0SP69NNPqVmzZuTn50f/+9//aP/+/XLH8eLFiwSAZs2aRY8fP6bjx48TADp69Gi5/Zs4cSLNnj2biIjEYjF16NCBnJ2daejQodWSk4WFhYVFf1iwYAFFR0crdK9BjdRuFr3g1KlTSEpKwpMnT9CtWzccPHgQ9vb2AIA//vgDzs7OWLlyJQDG99PZ2RkvX75Ew4YN4eXlBUNDQwBAgwYNcOvWrTL1P378GL///jsCAgIq9FVdt24d6tatiy5dugBg/IB79+6N1NRUAMCLFy9w/Phx2NnZSe/5/PPPUVhYCABYvHgxxowZI+3PokWL8Nlnn4HL5eLq1auIiorCP//8I723f//+yMrKktuXiso3btxY+j/MadOmSX1eMzIyMHHiRKnvcoMGDfD27dty5bW2tkanTp1kzq1ZswaOjo6wsbEBwGxqc3d3x/Lly+Hl5YVmzZqhUaNGcHBwwKRJkwAAw4YNw+zZs8ttpzwkm9YkHDp0SGaTYatWrfD9999Lj0vK4+joCEdHR8TExMDd3b1K7f34449o1qwZPvnkE9SvXx+xsbEYOnSo3LJHjhzBX3/9BQDgcDjo0aMHEhIScPTo0eqKycLCwsKiByQnJ8PCwgIdOnRQ6H5W4WXB4MGD4eHhIfdaTEwM/vzzT3Tt2lXu9XXr1mHv3r148OAB4uLiIBaLZa6LRCIMHDgQ7u7ulW7MOnXqlMyrCwAwNjaW/v7w4UMYGxtjwYIFcu8PDw/H6NGjpcctW7aUbnqLiYmBra2tzL3l1VOV8hK/1JIbvOrWrYuAgACcPn0aV69exYsXL6SuCOVR2nf44sWLUj9qCa6urvDx8cHjx4/x6aefgsvlyvjFmpqaVuiaUVWGDBmCffv2SY+7desGV1dX+Pr6IikpCWlpaeDz+dLrXC63WhvcSvbZxMSkwugb9erVQ3p6uvS4du3aeP36dZXbYmFhYWHRH0QiEfz9/fHrr78qXAfrw8tSIYWFhbh3757MObFYjHfv3iErKwt9+/aFoaEhli1bJtevxsDAAHPmzMHSpUtx7dq1CtvKzc3F+/fvK+xLYmIi3r17J3NeYnU0MjJCXFyczDUiQm5uLgoLC3H//v0yimF5FtjqlgeYeL4jR45EfHw8li9fji+//LLcsuVBREhLS5M516BBAwCQUTZVgaGhISZMmCA9TkpKQq9evdC2bVssXbpUqREzOBxOmf8clWTdunU4cuQICgoKIBaLceXKFUyePFlp7bOwsLCw6A7r1q3DzJkzwePxkJiYiPj4+GrXwSq8LBXStm1brFmzRuZV9759+5Cbm4vVq1cjNzcXw4cPr7COn376CQMHDsS4cePKKKslad26Ne7evSuz0QmAVDFq06YNCgsL8eeff8pc9/Pzk/Z19+7dMn3dv38/8vPz0bZtW6SkpGDLli3Sa0VFRdi5c2e5clenPAAEBQXh8uXL8PLyknudw+GUe6+Ezp074+7du8jNzZWey8jIgLW1Ndq1a1fp/crg8OHDyMzMxMKFC2Fvb4/u3burpd2SNG/eHI0bN8bKlSuxbt06/PLLL5g1a5ba+8GiXag6Yc61a9cwbtw4lSe70RbUnfimJqiir+pKbqTNnDx5Es2aNQOHw8HYsWPx6tUrPHz4EIMGDQKHw0HTpk1lNg1fuHABLi4ucHV1LePCGBcXh6VLlyq9j3/++ScWLVqExo0bo3bt2nB2dkaTJk2qXQ+r8H7ECAQCAEB+fn65ZRYsWIDExER07doVGzZswG+//YbLly+jcePGKCgowKNHj3Djxg2EhYUhNDQUWVlZuHHjBt69e4fi4mIUFxcDAAIDAyEUCjFx4sRyX/PPnj0b2dnZcHd3x/v375GcnIzIyEgkJibi4cOHaN26Nb755hv8/fffGD9+PLZs2YLhw4fD1dVV2tc3b96gf//+2LVrF7y9vXHz5k1YW1ujX79+cHV1xezZszFjxgxs3rwZQ4YMwYABAwBA2k/Jz8rKS5Rwif8wABQUFCAjIwPHjh3D7du3ceDAAQDMH+nnz5/D1NQUAOPTfPz/27v3mKrLPw7gb1FEzvEAajLlErDSUhxKWZra8LIiEA3ycE0GZeQVxRklYzUvlbOpKbGEIvASQ4MhDGel2JyUbqJGIqWIusAELynOg4Jc3r8/+PEdHM4NwTD6vDbm+PI9z/P5XtDH73nO8y4oMNhvfHw8SCI5OVlpNycnB2vWrFGmPzQ2Nhp8OtrWxrJlyzBhwgRl7rMhDQ0NBqdBVFVVITs7Gw4ODqivr8exY8dw5swZ7Nu3D8XFxbh58yYKCwvR3NyMlpaWDsffRq1W4/z58ygpKUFlZaVSl37NbdsNWbRoETw8PPDMM8/A1dUVAHDu3Dmj+4v/hkcdmDN27FhcuXKlx8Ju9FeZ6W29HXzTHQ9bq6lr8E+EGz2qe6Cn2p09ezY2bNgAAJg7dy6cnZ3h6emJ3bt3w9bWFl5eXvDz81P2nzlzJqZMmYLt27d3muqYnZ2N4ODgHqmrvcTERDQ0NECn00Gn06G2tlb5rE6X9Nxn58S/yS+//MLw8HAC4Pjx47lnzx62tLQY3DclJYVPPvkk7e3tGR0dTZ1OR5K8dOkSPT09OXz4cK5bt455eXm0s7Pj1q1b+dNPP9HLy4v9+/dnSkoK6+rq+OqrrxIAw8LCWFJSYrCvjIwMuri40M7OjgsXLmRERASDgoJ45MgRkq0rN8yfP59qtZoeHh7cuXNnh9dv376dzs7OHDp0KJcsWcJ79+4pP6uqqmJAQABtbW05ZswY/vDDDyTJ+vp6rl+/ngA4a9Ys/vrrryb3Lykp4fTp0wmAixcv5tWrV0m2rhoxZcoUOjg4MDY2lseOHaNGo2F8fDxJsra2li+++CJdXV1ZVFTEyspKhoaGEgCXL1/OmzdvkmxdbeKFF16gVqvlggULuH37duUYsrOzqVar6erqyu+//56lpaX09fUlAH788cfU6XQMDg6mk5MTt2zZ0un83r59m19++SUdHBwIgIGBgcpKDUFBQXRwcGBSUhJJsri4mG5ubnR2dmZqaiqTk5M5dOhQ7t27lwcOHKCzszOtra25efNmNjU1KX2sWbOGdnZ2TEhIYEVFBefNm0cAXLFiBSsrK5mamsoBAwbQ29ubxcXFBu+DTz75hE888QTVajWtrKwIgAC4detWg/uL/w791WVIcv/+/QTAhQsXdrv9yMjIDivDPKza2lqGhIR0u52e8rjV80+w5Jh76no/bP+PQ7t1dXVUq9WMjIzssP2NN97gkCFD2NjY2GG7r6+vwXbefPPNHqvpUZABrxB90IkTJzr9Z+Dform5mW+//Tbr6uqUbQ8ePGB5ebnRv2jFf4ehAe+5c+cIgP7+/t1uPyoqqtsDoPv379Pf3/+RDaS66nGr559g6TH3xPXuTv+PS7shISG0t7dXlvUkyY0bNxIADx48qGw7e/YsV61a1en15eXlXLt2bY/W1NNkSoMQfUxDQwPy8/MRGhra26U8lG+++QZWVlYdoq+tra3h7u6OMWPG9GJl4nGlH5hjKqCmsLAQ4eHhSEhIgLe3N7744guj7d69exeTJk3C1KlTkZ6ebjAsJTU1Fe+//z5iYmJgY2OD/fv3Y9euXaioqEB5eTkWLVqkzIE01XdjYyMSExOxadMmJCQkICMjo0M/p06dwltvvQU/Pz+cOnUK3t7esLe3R3p6urKPsfYN1WMs+KahoQEJCQmIj49HQEAAtFqtskKKJTUYUlRUhLCwMLz77rvIzs6Gs7MzXF1dOyyLaKpfQ7Waq8XYNTDm5MmT8PLygoODA3bt2qVsNxd21JVzrs9QgE/bEqBdbddcneaEhITgzp07OHTokLLt559/hkqlQk5OjrItNzcX8+bN6/R6/ekMTU1N+PDDDxEbG4vAwECEhobizp07Ha5baWkpXn75ZWg0GiQmJqKxsRErV66EnZ0dJkyY0COJrx309ohbCNGz8vLylGkn/0Zr166lvb09U1JSWFVVRZ1OxzNnznDBggWsqKjo7fJEL7MkMMdYQM29e/eoUqn4448/kiRTU1NpZWXVIRCn/RO/oqIiRkdH88GDBwZrqaqq4sSJE5Xvt27dyoKCgk7tkDTb90cffcSgoCBlfz8/P44bN44zZ86kTqdjZWUlp02bRg8PDyYnJ7O6uprR0dG0s7NjU1OT2fb16zEUfEOSoaGhTE5OVr6fN28ePT092djYaLYGY0pLS+nm5saJEydy27ZtPHXqFH18fGhlZaWECJjq11CtltRiydPbqKgoenh4MCUlhX/99RcjIyM5bNgwZYqfqbCjrp5zfcYCfB6mXVN1WuLevXscPHgwo6OjSZI3btxgeHg4tVotHR0dlXM6e/Zsg9Mf9aczxMTEKE98dTodVSoVY2NjWV5ezueff56jRo3ijh07eO3aNSYkJBAAV69ezRMnTvDy5ct0cXHhkiVLLK7fErIOrxB9zOuvv97bJXRLQkIC1Go1kpKSEBcXB41GA19fX6xbtw4eHh69XZ54TBgLzDEVUGNtbY2QkBDlg64jRoxAS0sLbt++DY1G06H9oqIipKen4+uvv8aAAYb/qbx+/TpKSkqQlZWF8PBwREdHK0+b9ZnrOy8vT4koB4AZM2YgIyMDhw8fBtD6YVAPDw/069cPS5cuBQBotVrs2LED165dg6Ojo8XHBhgOviktLcXevXvx+eefK9sSExPx3HPPITMzE1FRUSZrcHJyMnjs48aNg5ubG0aMGKGsYvPVV19hzJgxSEtLQ0xMjNl+9Wt1dXV9qFoMcXFxwcKFCwEAYWFh2L17N27cuIH79++bDDvqyv1kiLEAn6ampi61ay6UyRK2traYM2cO8vPz0djYiH379iEoKAgkkZOTg6NHj8LDwwPu7u6dVhyqqKjosGzl5cuXkZaWhsrKSgCt9+7OnTvh4uKCUaNG4dlnn8WVK1eU8KTIyEhs2LABvr6+ynWeNm1ap2VGu0sGvEKIx4q1tTVWrVqFVatW9XYp4jFmLDDHXEBNRkYGjh8/joKCAiVpUX8Fkb///hv+/v5ITk42OtgFAG9vb8yZMwcRERFISkrChg0bMH36dIP7DhgwwGTfloStGAqdAVqXTDTXviGGgm+AjoE648ePx4ABA1BcXIyoqCiTNTQ1NXVY8aD91KR+/frB1tZW+dno0aPh4uKCixcvWtSvfq3mzkdX6IfiAK2r7pi7lx7mnBvqWz/Ap6vtmqvTUiEhIcjKysLhw4dx4MABZGZmgiRsbW2Rk5ODp556yuAypPrTGU6ePAmSGDZsmLJNq9V2OL722t8XbWxsbHokUKk9mcMrhBCizzAXULNixQrk5uZi/fr1RpdQGjZsGN555x0sW7bM5AL3/fr1Q25uLrKyslBTU4MZM2YgLS3N6P6m+v70009RVFSk1H3kyJEuh61Ycmym8P9LRrYPv7GyssLw4cMtCr759ttvodFolK+xY8ea3N/R0RE2Njbd7rcntT29bFt20dS9BHT/nBvTlXYtqdMSr732GjQaDVJSUqBSqaBSqaBWq+Hn54fc3FwcOXIEPj4+nV5XVlbW4Vrb2NgAQKcntO3XyO8NMuAVQgjRZ5gKqCksLERSUlKHda2N2bhxI0aNGoXQ0FCjbw2XlZWhvLwcYWFhKCsrw6xZs5CUlASgc9CMub5dXV0xbtw4bN68Gdu2bYOfnx+2bNli8XGba9/S4BugdbDdhiRu3bqFmTNnmn29v78/ioqKlK/2H3YCOq+9XVNTg6lTp3a7X2MsOWZTzIUd9cQ5N6Sr7Zqr01KDBg3C3LlzkZ+fj8DAQGV7cHAwampqMHz48E71XLx4EU8//XSHbZ6engDQIbiJJHbu3NmlenqaDHiFEEL8a5gLzDEVUNP2dvuuXbtw5swZZSWE0tJS/PbbbwCgBOYMHDgQe/bswfnz57Fy5UqDfd29exefffYZAEClUiEgIACjR48G0Pr2+p9//onbt2/j4MGDZvv+4IMPoFar4enpiZEjR8Le3l6pqY2p0Blz7evX0/a69n++9NJLeOWVV7Bt2zalvYKCAnh7e2P27Nlma3B0dMS0adOUL/24+bKyMuVpblFREZqbm7FgwQKL+tWv1Vwthq6BIW0hOoa2mws7ephzrs9QgE9X2zVVZ0NDAyZPngytVms09Km9kJAQqFQq5bwDQEBAAAYNGmTRdAagNSlTq9UiNTUVcXFxyMzMhFarhZeXl3Ju21/HtvPf/jqQNBlO9FB69CNwQgghxCNiaWCOsYCaBw8eMCAggBqNhhEREfz99985dOhQzp8/n42NjczLy1OCb7Kysnjnzh1OmDCBABgbG8sLFy506Of48eNKYE1iYiKjo6NZXV1Nkjx9+jSdnJw4adIk1tTUmO07MzOTQ4YMoUajYf/+/ZWwlbi4OJJkYWEhnZycqNFomJWVxUuXLnH+/PlKcM3169dNtq9fj7Hgm1u3bjEyMpKTJ0/mkiVLuHjxYt66dcviGozx8fGht7c3ly9fztWrVzMwMJBnz55Vfm6qX0O1WlKL/jHrKygooIuLCx0cHJiZmcmLFy8qbaxYsYI3b940GXZk7pqa699YgM/DtGuszvv379Pd3Z0jRozg6dOnjV6fNvX19YyJiem0PSoqivX19Z22GwubqK2tZXh4OFUqFUePHs3s7GySrfeQs7Oz8jt29epVLl26lAAYHh7O8vJy5ufn09XVlRqNht99953Zmi3Vj7RgyC+EEEKIR2b58uVISEjAyJEjAbQ+BauurkZERASOHj3ay9V13/Tp0+Hu7t5h7V3xz9m0aROCg4Ph5ubW26X0GpnSIIQQQvSiQ4cO4Y8//lAGu0DrCgouLi7K28BCPKwrV66gpaXlPz3YBWTAK4QQQvSq6upqHD16FBs3bsTly5dRV1eHCxcuIC4uDhEREb1dXo9oamrq8WWmhHk6nQ6nT59GfHx8b5fS62RKgxBCCNHL0tPTkZycjPPnz2PgwIHw8fHB2rVrMX78+N4urVuam5uRlpaG9957D4MHD0Zqairmzp3b22WJ/yAZ8AohhBBCiD5NpjQIIYQQQog+TQa8QgghhBCiT5MBrxBCCCGE6NNkwCuEEEIIIfo0GfAKIYQQQog+TQa8QgghhBCiT5MBrxBCCCGE6NNkwCuEEEIIIfo0GfAKIYQQQog+TQa8QgghhBCiT5MBrxBCCCGE6NP+B1v512hNb9ZtAAAAAElFTkSuQmCC\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-XG.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XG.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XG.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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=20, 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=20, 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-XG.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XG.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XG.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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": 18,
   "id": "64fb477b",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXG/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "91a62ac5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.015"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " percent_between(x1, -1e9, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "34c7a258",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.74"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 500e3, 600e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "750d57ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.905"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 450e3, 650e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b11149fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.94"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 350e3, 750e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "a2eac873",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.045000000000000054"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - percent_between(x1, 350e3, 750e3) - percent_between(x1, -1e9, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "05d2ff8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.94 + 0.045 + 0.015"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8eafa113",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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