{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b1dd28ac",
   "metadata": {},
   "source": [
    "# Section 4.5 - Venus SmallSat Aerocapture - Target EFPA Selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "37f5208f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from AMAT.planet import Planet\n",
    "from AMAT.vehicle import Vehicle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4b1b412c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a planet object\n",
    "planet=Planet(\"VENUS\")\n",
    "planet.h_skip = 150000.0\n",
    "\n",
    "# Load an nominal atmospheric profile with height, temp, pressure, density data\n",
    "planet.loadAtmosphereModel('../../../atmdata/Venus/venus-gram-avg.dat', 0 , 1 ,2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9f0caad5",
   "metadata": {},
   "outputs": [],
   "source": [
    "ATM_height, ATM_density_low, ATM_density_avg, ATM_density_high, ATM_density_pert = planet.loadMonteCarloDensityFile2('../../../atmdata/Venus/LAT20N.txt', 0, 1, 2, 3, 4, heightInKmFlag=True)\n",
    "density_int_low = planet.loadAtmosphereModel6(ATM_height, ATM_density_low, ATM_density_avg, ATM_density_high, -3.0, 151, 2)\n",
    "density_int_avg = planet.loadAtmosphereModel6(ATM_height, ATM_density_low, ATM_density_avg, ATM_density_high,  0.0, 151, 2)\n",
    "density_int_hig = planet.loadAtmosphereModel6(ATM_height, ATM_density_low, ATM_density_avg, ATM_density_high, +3.0, 151, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "18aed1c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "planet1 = Planet('VENUS')\n",
    "planet2 = Planet('VENUS')\n",
    "planet3 = Planet('VENUS')\n",
    "\n",
    "planet1.density_int = density_int_low\n",
    "planet2.density_int = density_int_avg\n",
    "planet3.density_int = density_int_hig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "428b1ce0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "daecd996",
   "metadata": {},
   "outputs": [],
   "source": [
    "h_array = np.linspace(0, 150e3, 1001)\n",
    "\n",
    "d_min_arr = planet1.densityvectorized(h_array)\n",
    "d_avg_arr = planet2.densityvectorized(h_array)\n",
    "d_max_arr = planet3.densityvectorized(h_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "4ae9c5ec",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 625x525 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "fig.set_size_inches([6.25, 5.25])\n",
    "\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "plt.plot(d_min_arr, h_array*1E-3, 'b-', linewidth=1.0, label=\"Minimum \"+r\"$(-3\\sigma)$\")\n",
    "plt.plot(d_avg_arr, h_array*1E-3, 'g-', linewidth=1.0, label=\"Average\")\n",
    "plt.plot(d_max_arr, h_array*1E-3, 'r-', linewidth=1.0, label=\"Maximum \"+r\"$(+3\\sigma)$\")\n",
    "plt.xlabel(\"Density, kg/m3\",fontsize=14)\n",
    "plt.ylabel(\"Altitude, km\",fontsize=14)\n",
    "plt.xscale('log')\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xticks(np.logspace(-10, 1, 12), fontsize=14)\n",
    "plt.grid('on',linestyle='-', linewidth=0.2)\n",
    "\n",
    "ax=plt.gca()\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=2, length=4)\n",
    "ax.yaxis.set_tick_params(width=2, length=4)\n",
    "ax.xaxis.set_tick_params(width=1, length=4, which='minor')\n",
    "ax.yaxis.set_tick_params(width=1, length=4, 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.legend(loc='upper right', fontsize=12, framealpha=0.8)\n",
    "\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-mean-density-variations.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-mean-density-variations.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-mean-density-variations.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da2df389",
   "metadata": {},
   "source": [
    "## Compute corridor bounds for low, avg, and high density atm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e6d5c1ec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overshoot  limit : -5.1706 deg\n",
      "Undershoot limit : -5.5815 deg\n",
      "TCW: 0.4109 deg\n"
     ]
    }
   ],
   "source": [
    "planet.density_int = density_int_low\n",
    "\n",
    "# Set up a vehicle object\n",
    "vehicle1=Vehicle('SmallSat1', 37, 20, 0.0, 1.767, 0.0, 0.35, planet)\n",
    "vehicle1.setInitialState(150.0,-6.22,23.16,10.8191,89.9982,-5.00,0.0,0.0)\n",
    "vehicle1.setSolverParams(1E-6)\n",
    "vehicle1.setDragModulationVehicleParams(20, 7.5)\n",
    "\n",
    "underShootLimit, exitflag_us = vehicle1.findUnderShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10, 2000.0)\n",
    "overShootLimit , exitflag_os = vehicle1.findOverShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10,  2000.0)\n",
    "\n",
    "print(\"Overshoot  limit : \"+str('{:.4f}'.format(overShootLimit))+ \" deg\")\n",
    "print(\"Undershoot limit : \"+str('{:.4f}'.format(underShootLimit))+ \" deg\")\n",
    "print(\"TCW: \"+ str('{:.4f}'.format(overShootLimit-underShootLimit))+ \" deg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "26e8cdf8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overshoot  limit : -5.1087 deg\n",
      "Undershoot limit : -5.5295 deg\n",
      "TCW: 0.4208 deg\n"
     ]
    }
   ],
   "source": [
    "planet.density_int = density_int_avg\n",
    "\n",
    "# Set up a vehicle object\n",
    "vehicle1=Vehicle('SmallSat1', 37, 20, 0.0, 1.767, 0.0, 0.35, planet)\n",
    "vehicle1.setInitialState(150.0,-6.22,23.16,10.8191,89.9982,-5.00,0.0,0.0)\n",
    "vehicle1.setSolverParams(1E-6)\n",
    "vehicle1.setDragModulationVehicleParams(20, 7.5)\n",
    "\n",
    "underShootLimit, exitflag_us = vehicle1.findUnderShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10, 2000.0)\n",
    "overShootLimit , exitflag_os = vehicle1.findOverShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10,  2000.0)\n",
    "\n",
    "print(\"Overshoot  limit : \"+str('{:.4f}'.format(overShootLimit))+ \" deg\")\n",
    "print(\"Undershoot limit : \"+str('{:.4f}'.format(underShootLimit))+ \" deg\")\n",
    "print(\"TCW: \"+ str('{:.4f}'.format(overShootLimit-underShootLimit))+ \" deg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1c1f4050",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overshoot  limit : -5.0570 deg\n",
      "Undershoot limit : -5.4834 deg\n",
      "TCW: 0.4265 deg\n"
     ]
    }
   ],
   "source": [
    "planet.density_int = density_int_hig\n",
    "\n",
    "# Set up a vehicle object\n",
    "vehicle1=Vehicle('SmallSat1', 37, 20, 0.0, 1.767, 0.0, 0.35, planet)\n",
    "vehicle1.setInitialState(150.0,-6.22,23.16,10.8191,89.9982,-5.00,0.0,0.0)\n",
    "vehicle1.setSolverParams(1E-6)\n",
    "vehicle1.setDragModulationVehicleParams(20, 7.5)\n",
    "\n",
    "underShootLimit, exitflag_us = vehicle1.findUnderShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10, 2000.0)\n",
    "overShootLimit , exitflag_os = vehicle1.findOverShootLimitD2(2400.0, 0.1, -20.0,-4.0, 1E-10,  2000.0)\n",
    "\n",
    "print(\"Overshoot  limit : \"+str('{:.4f}'.format(overShootLimit))+ \" deg\")\n",
    "print(\"Undershoot limit : \"+str('{:.4f}'.format(underShootLimit))+ \" deg\")\n",
    "print(\"TCW: \"+ str('{:.4f}'.format(overShootLimit-underShootLimit))+ \" deg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f48632d",
   "metadata": {},
   "source": [
    "## Target EFPA selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5f769dbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ku/+QMiFJ11kJd+/eRWxsLAYNGiRk+/333xEbG4s7d+7g4MGDYLFYWLRoEfh8PjIyMjBixAjq+rx8+RJbtmzB6NGjMXHiROTm5sLf3x+///479u3bhy5dumDKlCnIycnB5s2bsWPHDjRu3Bh+fn5UfXw+H8uXL4e+vj42btxIHY+Pj8fSpUuxceNG9O/fXyBPebZr164hNDQUFy9ehLOzc4XnoKioCHv27KEGmwUFBWHkyJHYtm0bNm3ahIYNG2L8+PFISkrC8OHDoa+vj6NHjwIAvnz5AltbW8ydOxcAcPbsWcTGxmLXrl3w9fUVqCcuLg5r164Fn8/Hrl27cPLkSQBAYGAgli1bhpUrV2LQoEGIiIgAIQRHjx5FmzZtcOHCBTRs2BDHjh0TKM/LywtWVla4evUqJk6cCAMDA+zfvx8vXrxA586d0bBhQ2psxYMHD/D777/j1KlTyMzMhJ2dHaysrHDnzh00b94c7du3R3p6eoXnqYQ9e/Zg3bp1WLBggUAPEofDwc6dO7FhwwZ069YNN27cqLSu9+/fw97eHmvWrIG2tjYKCgoqPKdXr17FsGHDoKKiggcPHgAAvn79ipYtW+Lp06dCvnp7e2PJkiVYsWIFhgwZgpycHERGRuLSpUuIiIjA2rVr8fDhQ0ybNg1z587FwYMH0aRJE/Tt2xdpaWmYPHky9PX1sXnzZqrMiu7H48ePY+/evfjjjz8wYcIEKq21tTWOHj2K+vXro2vXrkIzgm7fvg0LCwt06tSJenVW3vncvHkzunbtCjc3N9SrVw/v3r1DYmIiNm3ahEWLFqFXr14IDw8X61oqGnHartzcXBgYGJRrd3Nzw6NHj6TolWzh8XjQ1NQU69VhgwYNEBYWhsrWi5XmK/GahoqKCvT19ZGTk1P1zEQC/v77b3Lu3DmSkpJC8vPzyc2bN8nOnTvJpUuXiIqKCpUuKSmJdOnSRZIq5I6ZmRkBQMzMzORet729vdhpk5KSCADi6+tLCCFk165dBAApLCwUSpufn08AkF27dhFCCBk6dCjZunUrZd+4cSMhhJCMjAwyduxYQgghPB6PdOzYkWzbto1kZ2eTNm3akDFjxpBXr14RX19fcuDAAeLl5UUIIeTRo0fk1q1bhBBCpk2bRgYOHEji4uLIs2fPiLq6OsnPzyeEENK9e3cSFhZGCCHk5cuXREtLi3z79q1SW58+fcjJkyfLPRcASGRkJOHxeOThw4ek5HYuKCgggwYNItbW1iQuLo7ExMQQNTU1sm3bNpKfn08uX75MTExMCCGEFBYWkjlz5pBp06YJlVtZvYQQkpiYSNq3b084HA4hhBBHR0fSrl07wuPxSEREBAFA9u7dS27evEnevHkjUE5mZibR09MjmzZtInl5eeT8+fNET0+PXL58mfD5fLJo0SIyfvx4QggheXl55KeffiInT54kHA6HeHt7k3r16pGrV68SDodDOnToQI4cOVKuzyX4+PiQyZMnE0II4fP5pF27dmTLli2EkOL78NGjR4QQQi5fvkz09fVJdnZ2hXWNGTOGJCUlEUIIdX4rO6dJSUlES0uLvH//njoPy5YtE+mvoaEhiY6OJoQQ0rZtW3Lp0iVCCCEnT54kffr0IYT8uIY9e/YkYWFhJDMzkxgbG5P58+eTjIwMEhwcTFRVVUlOTg4hpPx7LisriwwfPpwQQgiXyyWbN28mXC6X7N69mzRr1ozcvn2bJCUlkU6dOpEBAwYQQgh58OABqVevHrlz5w7hcDikXbt25Pjx4+Wez6ysLOLh4UHq1q1L/P39yfHjx0l6ejoZM2YMyczMJIQQsmjRItK/f3/qHHz8+JEAII8fP670+sobcdoubW1t4uLiUq69c+fOZMqUKdJ0S+b4+/sTc3NzsdL26tWrwnaMkOLfYmXtTm3GxMRE4F4S93ksUQ9Mq1atMGHCBBgZGUFLSwtDhw5FnTp1wOPxBAZoaWlpCUSVDKIp3VshKUREhK+qqirw76xZs+Dh4QFCCKKjo2FhYQEAuHHjBr5//w5nZ2e4uLigU6dO4PP50NXVRYMGDTBs2DB06tQJI0aMgK6uLlavXo1r167ht99+Exgk3KNHDzRq1AhWVlbgcDhIS0tDcHAwwsPDqe7jrl27omXLlvDw8KjQVhVUVFQEpvppamqiYcOG6Ny5Mxo1agQ2m42GDRuiV69e0NLSQqdOnahBaRoaGmjYsGGV6iuNp6cnWrVqRa2GPHPmTLx//x7Pnj1Ds2bNAAAjR47E0KFDhQb66unpwcDAAP3794e2tjasrKyQlZWFUaNGgcViCfipra0NY2NjAICamhoMDAygp6cHa2trqKmpoX379khKSqrUX0dHR2osDYvFgqWlJWXz8PDAy5cv4ezsjNDQUHTv3h1JSUkV1qWrq4uxY8fi3bt3mD9/PjQ0NCo9p8bGxpg8eTI1Q+nChQvlzqy6ePEimjRpgidPnqCwsFDkX2kl9bVo0QKtWrWCnp4eWrVqhW7dukFfXx+dOnUCj8er9H5UVVXFo0ePsGnTJuTm5uLvv/+GqqoqjIyM0KRJEwwaNAjGxsZYu3Yt7t+/T73e1NPTw8CBA6GmpoaOHTsiISGh3POZnJwMNpuNevXqoX///pgxYwby8/Pxv//9DydOnICzszN1fWsC1W27goKCoKWlhUuXLiEzM1NKXsmeqrw6FCct3bbdkBYSBTARERHUzUYIwenTpxEWFobCwkLo6elR6T59+gR9fX3peFqLqc5mWW3atAFQPGi3LImJiQB+DKgcMWIEsrOzERAQgEuXLmHMmDEAimcSWFhYYOnSpVi6dCnc3d2xZcsWAMU/rNI/rilTpmDatGkYO3YsevXqJXJKZMnDnMvlIjw8HBwOR8BuYWGB2NjYCm1VpWwDUPZ7SRAHFDcopQO+6jQeZTXUr18f+vr6iI2NpcqtqPzSttI+lvhZep+r0mnLlqmmpibWnlhv376Frq6uSFtMTAwmTZpEvV7x8/ND8+bNK6xr7969MDY2RseOHbF+/XrqfqjsnC5duhQeHh5IT09HUFAQunXrJjKdgYEB1qxZA01NTbDZ7HK74iu73kDxK86K7jkdHR1cvXoV586dg4WFBZ48eSKyrp9//hmEEJEPXDU1NXC5XAAVn8/S/sbExEBDQ4P6/e3duxeXL18WWbeyUd2N/jw8PHDx4kVoaWnhzJkzQnYnJyfs3bsXPXv2xNq1awGIfm3p5eUFTU1NBAQEICMjAwsWLKAGjFflVS1Q/EeJvb09evfuLaAvJCQEs2bNwrZt2/DPP/+Uq4nP52PdunXYsmULZs+ejcjISMqWnZ0NOzs7rFy5Et27dxc5CaDsK/GHDx+iQYMG6Nu3L1JTUwEAmzZtwowZM8DlckW+fgwPD4etrS3mzJmDadOmwcLCAuvWrQOLxYKdnR2A4gk3v//+O1xdXYV8EPf158OHDzF69Ghs3LgRgwYNQq9evQBI/lq9qkgUwAwbNgxsNhtmZmbQ0dGBh4cHtLS0sG3bNhgYGODYsWNISEjAP//8g549e1bLQTowY8YMifMOHDgQDRs2xK1bt4RsDx48QLNmzTBgwAAAgLq6OqZOnYrjx48jNzcXdevWBVA8i+jGjRsoKCig8pY3u+bbt2+ws7NDaGgoCgsLK9wjgxCCJk2aICsri/qrtOR469atK7TVFJo0aYJPnz4JHFNmDXp6euX2ipqamgo8OBMSEiqdJpuZmYmLFy/i3r17uHLlCk6fPi2WHz///DN69OiBlStXokWLFiLTZGRkYNiwYdi8eTOsrKzEKrcyKrrnsrKy0KFDB3z48AGzZ8+GjY0NcnNzhcooKiqCnp5eub1MJUGWuOfT1NQU4eHhePv2LXVMnrPbqkN12q7s7GxwOByYmZlhypQp+PfffwXsHz58QEREBJYvXw4/Pz+qV8rOzg5z587Frl27sH79egDA+PHjqethYGCAcePGUeUMHToU4eHhCA4OxokTJ+Dm5obNmzcjLi4OISEhGDduHJycnAAUP3ijoqKwadMmXLp0CXZ2dnj8+DHy8/NhY2MDR0dHbN68WeSYwxJcXV2hpqYGOzs7HDhwQOAeWrFiBaZPn449e/Zg3LhxmDRpklB+NTU1dOvWjfpDrk+fPli1ahVYLBaMjIwAFP+OS3rrFi1ahFWrVsHV1RWdO3fGvHnz0KRJE6irqyMwMBCrV6/G2rVrsWPHDnTp0kWgjKZNm4qcybdr1y707NkT27dvx9q1a2FjYwMVFRW0bNkSYWFhaNmyJZycnNCqVSvk5OTg4cOHcHZ2xrx585CUlIQFCxZg9+7d2LNnDwYOHIiRI0eCEILff/8dnz59QlxcHE6ePIlffvml4pukEiQKYAYPHoygoCCsWrUKx44dw40bN7B7925qMFbz5s3Ro0cPPHjwAFu3bq2Wg3Sg9CDCqqKlpYWTJ0/CyckJX79+pY4nJiZi9+7d8PT0FNjscebMmTh37hx69+5NHRs2bBiys7NhbW1NDfj99u0bZS/dy+Ll5YXY2FhYWFhg8+bNVGMt6i9jQgh+/fVXdOzYESdOnKDKioiIwKRJkyq0AcWvBr5//46wsDCRZVf2b3l/rYsqo3RadXX1cust+eu65K/4adOmISYmhvprPSwsDD///DM6depE5alo4a7K/CxtK52Wz+cL5Sv5/vHjR+zatUtkeWPHjoWrqytiY2PB4/EQExODlJQUcLlcTJw4EWvWrIGLiwvu378POzs7mJmZVViXs7MzuFwu+vfvj6lTp1bpnC5btgweHh6YPHmySF8jIiLw/ft3pKWlISwsDDExMcjLy0NUVBR1bxQUFCA6Olrs613RPZeeno4TJ05AU1MTO3bsgIGBAdVTUtKbCRTvBD9//nyB8yDq3JR3PkvqLaFJkybo0aMHRo4ciUuXLsHHxwe3b9+uUIuyUJ2268yZM7CxsQFQ/Hr71atXCA4Opuwlfxw7OztDQ0ODCpZEvbYEyu/1q8qrWg8PD8TFxcHZ2Rlnz57F0KFDkZqaCk9PTzRp0oTai6qigLr0a1pNTU2qB5zP5+Pq1au4cuUKnJ2dkZaWhhYtWgi9Fi37ShwobmeePn2KqKgoEEKQm5sLPT09xMfHi3z9qKmpCVNTU3Tt2hU///wz5syZA6B40PXhw4cBFE9gKO8PLXFff5qamqJhw4bo378/2rZtCxsbm2q9Vq8ykgy4EQcul0tyc3NlVbzUUeQg3ufPn4udtuwg3hKePXtGxo0bRxYsWECWL19Opk2bJjRotAQbGxvC5/MFjj148IC0bduW1KtXj6xfv54QQsj9+/eJkZERGTBgAPny5QshhJAtW7YQCwsLsn37drJ06VISFRVFXr16RVq3bk369OlDvnz5Qk6dOkUAEHt7e8LlcsmXL19Iv379yMKFC8nixYsFBiNWZPv3339JgwYNqEGRpTlx4gQBQLZs2UKys7OJnZ0dAUBOnjxJPnz4QFq1akV69+5Nvnz5Qnx9fYmmpiZZuHAhiY2NJZs2bSIAyNGjR0lUVBT57bffSJs2bUhoaCghhJAZM2aQFi1aCF2X3Nxcsn37dgKArFixgnz+/JkQQsitW7dIjx49yNq1a8miRYtIXFwcIYQQV1dXAoAsXryYGqBZmps3bxJ1dXWycOFCEhcXR2k4evQoiYmJISNHjiRGRkbkyZMn5MWLF8TQ0JCMHTuWREdHk3nz5hENDQ1y/fp18v79e9KuXTvSu3dvEhkZSS5evFju4Pns7GwyceJEYmJiQqZPn05GjhxJpkyZQsLCwkh+fj6ZPXs2MTAwIJaWluT9+/ckOzu7wrr69OlD+vTpQ3bv3k1WrFhBCgsLxT6nPB6PGqQsCi6XSwYNGkSMjY3JP//8Q+bMmUO6detGUlJSSFxcHGnatCkZNWoUiYqKIj179iRt2rQhb968IY8fPyYNGjQgY8eOJbGxseTAgQMEANm8eTPhcDjl3nORkZFEXV2d/P3332Tbtm3E09OTEFI8YLhp06Zk69atZPfu3WTJkiUkLy+PZGZmkjlz5hBNTU1y7do18v79e9K+fXvSu3dvEh0dLfJ8fv/+ncyaNYuoqKgI3NfR0dFkwIABpG7dumTUqFEkIyODsinzIF5x2q7yBvH269ePLFmyhPoYGxuTefPmCaS5ePEiMTExIU2aNKH0lwx6ZrFYZPbs2aSoqIgQQoi5uTl58OABIaS4PSs9yLa0LTIykpR+9JUeED5kyBBy9uxZIV8XLlxIRo0aRX0vW34JqampBAB5+/YtdaxkMkJiYiLR0tISantLQKlBvGV9JISQkSNHks2bN5OHDx8Sf39/Qkjx+W/VqpXI8rZs2SIwkJ4QQoqKikijRo3IrVu3yJYtW0h8fLzIvFpaWiJtonRPmzaNmghACCFz584l1tbWAmn09fXJ+fPnhXSWIOkgXokCmKysLDJ79mwydepUQkjxRdu1axd1Umsiigxgbt++LXba8gIYBoaaxv3798mFCxcU7UallH7AKQJlDmDEabtEBTAvXrwge/bsETh26NAhoq+vT/3hGxsbSzgcDsnMzCTTpk0jjRs3JoQQ6uHn7+9PjIyMqECwWbNm5N69e4QQyQMYW1tbMnr0aAG/Xr58SdavX0/atGlDHSsvgCkoKCAqKirUTE1CfgQwXC6XqKurk2vXrlG2N2/eULM1Kwtgrl27RszNzcnWrVupICg6OpqwWCyBP1ZfvHhBCBEdwBBCyPbt28mAAQOEgsXSNGvWjLi6ulLf4+Pjybdv38QKYLZv3y4UVOnp6ZFXr14J6SxBrrOQlixZgqtXr1KL7BgaGmL16tU4ePCgyIFYDBVTshCgOJR0k9bk/UQY6M2lS5dw5swZHD58GCNHjlS0O5VCxHg9JUvEHRitCKrSdpXGzc1NaOVsGxsb5OfnU/vuhIeHw8fHB3p6enB1da30taWJiQmeP3+OjIwMXL16FRkZGdRMscquISn12u/y5ctYsmQJAgICsHz5chgZGWH06NH49OkT3N3dARQvNFe6/BI0NTUxYsQI/PPPP8jMzEReXh6SkpKQkpICQgjGjh0LW1tbnDp1Cn5+fjh16hS0tLQqfSUOFI/l4XA4AoPAK3v9KOo5MXfuXDx9+hT9+/cv93yI+/pTVD3Vfa1eJSoMb8qhU6dO5Pv372Tnzp0Cx48cOUKaN28uSZEKR5E9MB8+fBA7LZfLJRoaGgIRLwNDTWLEiBHEwsKC+ktRmfny5QsZMWIEadCgAbl7965CfPD09FTaNULEabvK9sAcOHCAaGlpkdOnTwuku379OtHS0iImJibk6tWr5MGDB0RXV5esXr2arF+/nty5c4cQQkS+tiSEkBs3bhB9fX0yZMgQcvnyZdK5c2dy/vz5Kr2qJYSQ/fv3E1NTU9KkSRNy+fJlyr/jx4+TRo0akX79+pG1a9eSLl26iOxBTEpKIkOGDCFsNpssXLiQ9O3bl6o7PT2djB49mujp6ZF+/fqR2NhYQkjFr8RLs2HDBvL161eBY6JeP4aFhZEePXoQNpstsufOxsaGFBQUlHvNxH39+b///Y+0bt2adOzYkbx+/ZrKX9XX6pL2wLAIqfqfFn///TcOHjyIXbt2CcxCmTx5Mnx9fZGVlSWd6EqOsNlsxMXFwczMTKJpvNXB2dkZS5cuFTv9/Pnz4ebmhp07d+LXX38VGKTLwMBQO+Dz+fj48SMWL16M3377Dbdu3RKaaq9oxGm7dHR0sGvXLoXuW8Xwg+zsbDg4OJQ70F8RNGzYEAsXLqTWFRL3eSzRk8/Y2BgJCQlUN1ZGRga2b9+Os2fPYsqUKZIUSWtmzpxZpfQHDx4Ej8ercAozAwND7WDw4MG4cuWK0gUvQNXbLgbFERwcjKCgILx69QpLlixRtDtSQaIAZs2aNdRqrO7u7oiKikJBQQH++usvuLi4SNvHWs/+/furtKKliooKjh49CicnJ8TGxoq1gJkyceTIEcybN0/RbsgVummmm15ANppNTU2pqbvKSFXbLgbF8eDBA/zzzz/YvXs32rZtq2h3pIJEr5BK+PbtGz58+IDCwkK0bdu2Ru82qshXSAz04OHDh5g5cybc3NyoxQUZGGo7zCskhsqQ9BVStfaCb9KkCYYOHYqRI0eiVatW+PjxIx4/flydImlJdZfjrmnQTS8hBEOHDsWAAQPQpEkTgf2Hait0u8YAo5mBQd6I9Qpp2LBhAsvMi4LP5yMqKgpWVlbUfggM4lGyqiddoJPe7OxszJw5E35+fli9ejW2b99Oi0HXdLrGJTCaGRjki1g9MA0aNEBBQQEaN24Mc3NzZGVlITQ0FCYmJjA3N4e5uTmaNWsGAwMDaGtry8zZZcuWUXPgWSwWzp8/X25aQgg2bNhA7Wly7do1mflVXS5cuKBoF+QKXfR++vQJv/zyC27duoXZs2dj165dtAheAPpc49IwmhkY5ItYrenChQvRoEEDanfPMWPGwN/fX2in6djY2Ap36awO379/R0REBPbt2wegeCBryW7KotiwYQOioqJw9uxZ5OXl4aeffoKpqanUNoWTJr/++quiXZArdNDr7e2N6dOng81mIygoqNIezNoGHa5xWRjNDOLC4/Fw4sQJODg4IDo6WtHu1FjE6oHp2rUrFbwAxWNfygYvQPEmW+fOnZOac6U5dOgQHBwcqC3nFy9eXO5fs3FxcXBycqI2/9LR0cGwYcOUdtpxZTv+1jZqs14ul4s1a9Zg9OjRGDJkCF68eIGffvqpVmsWBd30AoxmZSc+Pl7oWG5uLhYsWIB169Zh8eLFKCwsrLCMe/fu4ZdffkFUVJTEZQDFAYyBgYHAprnS5unTp2jTpg0MDAxqzbTpskg0iDcpKQn/+9//BI5lZWVh1qxZ0NPTk4pjpSkoKICLiwsmTpyIrVu3VrpQnq+vL4qKitClSxfqmKWlJR48eEDtOqpMKOMS4bKktupNTk7GoEGD4OTkBCcnJ3h5eaFu3boAaq/m8qCbXoDRrOwcPXpU6Nj8+fMxcOBA7NixA1ZWVli3bl25+VNSUpCTk4OXL19KXEYJGhoaMh3Mn5OTgwcPHuDJkyc4c+YMDh06hHv37smsPkUhUQDj4OCAcePGoVu3bhg3bhwGDhwIc3NzeHt7w97eXto+IjQ0FH379gWHw4GdnR06dOiA8PDwctO/fPkSKioqqFevHnXM2NgYhBC8efOmwro4HA5CQkIEPgkJCVLTIgo2my3T8pWN2qj3xYsXsLS0xIcPH+Dv74/ly5cLNO61UXNF0E0vwGiuacTHx+PixYsYOnQogOK9ho4cOVLu/k4NGjSAtbV1tcoojYpKtSYBV4iamhrWr1+P+vXr448//kDnzp2VciHEEgghiI+Pp565HA5HrHwSncFmzZrhzZs3+OOPP/Dt2zckJCSgf//+ePToEaZOnSpJkRXSpUsXeHl54fPnz7hy5QoyMjIwduzYcjfnSk5OhoGBgcADpOQv4dTU1ArrSk5OhqWlpcDHxsYG8fHxOH78OIKCgnD79m14e3sjNDQULi4uyMrKoqYTOjg4ID09HQcPHsTbt2/h6+uLGzduICQkBG5ubkhJSRFIm5eXBwcHB4SFheHChQvw9/fH06dP4e7ujpiYGIG0PB4PO3bsQHR0NE6fPo3AwEAEBATg/PnzCA8Px+7du1FQUCCQJzExEceOHUNQUBD8/Pxw5coVvH//Hq6ursjMzBRIm5GRgQMHDuDdu3fw8fHBzZs3ERwcjKNHjyIpKUkgbX5+PpycnBAeHg4vLy/cv38fT548gYeHB759+4bt27eDz+fDwcEBfD4f27dvx7dv3+Dh4YEzZ87g/v378PLyQnh4OJycnJCfny9QflJSEo4ePYrg4GDcvHkTPj4+ePfuHQ4cOICMjAyBtJmZmXB1dcX79+9x5coV+Pn5ISgoCMeOHUNiYqJA2oKCAuzevRvh4eE4f/48AgICEBgYiNOnTyM6Oho7duwAj8cTyBMTEwN3d3c8ffoU/v7+uHDhAsLCwuDk5ITc3FxYW1ujV69eYLFYuHv3Lj59+oSQkBDcuHEDvr6+ePv2LXbu3In09HSBcrOysuDi4oLQ0FB4e3vj9u3bCAoKwvHjxxEfHy+QtrCwEI6OjoiIiMC5c+cQEBCAx48fw9PTE1FRUdi5cye4XK5AntjYWJw8eRLPnz/H3bt3cfHiRXz69An79u1DTk6OQNrU1FQcOXIEr1+/xvXr13Ht2jW8fv0ahw8fRlpamkDa7OxsODs7IzQ0FJcvX8adO3fw4sULnDhxgvL7+fPncHBwAIfDwa5du/D161ecOXMGjx49wqNHj3DmzBl8/foVu3btAofDESg/Pj4eJ06cwIsXL3Dnzh1cvnwZoaGhcHZ2ppZBL0mblpaGw4cP4/Xr17h27RquX7+O169f48iRI0hNTRVIm5OTg3379uHTp0+4ePEi7t69i+fPn+PkyZOIjY0VSMvlcrFz505ERUXB09MTjx8/RkBAAM6dO4eIiAg4OjqisLBQII+fn5/M2ggnJyelbCP+/fffStuIaiw1JlMCAgJgZGQELS0tAMUBiqamplAPS2nKBh1VLSMyMhIzZ86Evb09Vq1aJWB7+fIltmzZgtGjR2PixInIzc0FADx79gxbt27F7t270apVKwwZMgT79++vUJuWlhb1/MvNzUX79u3Rt29fyv7kyRN07doV2traAhNjAgICKixXVnC5XBw+fJh65or9pqTCnZLkwMKFC0nPnj0r/JTl9u3bBAC1+VZZ/vjjD6FNoO7cuUMAkIsXL4rMU7J5lLGxMQkODhb4xMfHV19oBaSkpMi0fGWjtujNy8sj06ZNIwDIwoULqU3lRFFbNIsL3fQSwmguj7KbOcqTuXPnUh9LS0uB79u2bSMdOnQQSM9ms4mHh0eFZaLUxpqOjo5il8Hn84mVlRX59OkTIYSQixcvkpJHcEZGBhk7diwhhBAej0c6duxItm3bRvh8PmnUqBF1nv/44w8yY8YMsfU/efKE9OrVi4wbN47k5uYSQghJTU0lBgYGZMOGDeTTp09ky5YtxM/PjyQkJFTYhskSY2NjMn/+fOqZa2xsLNZmjgqf0+nq6lrlPIMGDYKlpSWioqLQo0cPIbupqSkePnwocCwnJwdAcYRcEerq6gJjZ+TBkSNHaLUcd23Q+/XrV4wePRphYWE4ffo0Jk+eXGH62qC5KtBNL8BoVkaOHDlC/X/r1q3YunUr9X3Pnj1Uz0kJRUVFUFdXF7t8Fosldhn37t1DVlYWWrduDQACM2Jv3LiB79+/w9nZGQDQqVMn8Pl8pKSkID4+nlqepE2bNvj8+bPY/llYWMDW1harVq3CypUrcejQIVy5cgWtW7emestWrVqF7t2749mzZ9DQ0BC7bGnCYrHQqFEj6tkr7jVQeAAjKRYWFuW+f+3YsSP+/fdf5OXlQUdHBwCQmJgINTU1uQcn4qDMDYAsqOl6b968icmTJ6N+/fp4/vw5OnToUGmemq65qtBNL8Bormk0atQImZmZAsdycnLQqFEjmZTx9u1b6OrqiiwnJiYGFhYWQjt7E0LQrl07+Pv7w9raGl+/fsWoUaPE9q9hw4awtbUFi8XC7t27AQCZmZkwNzen0tSpUwfNmzfHpUuXMH36dLHLVgZkN4pIhvB4POTn54vsfQGA8ePHQ11dHS9evKCOvX37FoMGDaLGwigTdFuOu6bq5fP52Lp1K4YPH46ePXvif//7n1jBC1BzNUsK3fQCjOaaRr9+/RAbG4uioiIAP6ZZd+vWTSZl6Onp4evXr1Ta0piamuLGjRsC60W9fPkSLBYLBw4cgL+/Pzw8PDBhwgRMmzZNfJH/YWVlBTMzMwBAhw4dhHpxVFVVhQKxmkCNCGDs7Oxgb2+PgoICFBUVYcOGDVi3bh21DkxiYiIsLS3h7+8PoPg10YIFC3DlyhUAxcu537p1SyYzpKRB2ai7tlMT9aanp2PEiBHYtm0btm3bhqtXr8LAwEDs/DVRc3Wgm16A0ayMzJs3j/qEhIQIfM/MzMSQIUOo4QZ37tzBggULqFdCjo6O+PDhg0B55L8BySX/mpqaVlhGaYYNG4aioiJqsdfIyEgAxUHPsGHDkJ2dDWtra9y5cwcHDx6k1ojZsGEDJkyYAEtLS3Tq1An5+flUmaJ8BIqXHgkODqa+37x5k1oL5vfff4eOjg71vCwoKEBQUBAGDx5cpXOrFEhzIM7Hjx/J0qVLib29PUlNTZVaufv37ycGBgbE1NSUjBs3joSGhgrYo6KiSP369cnly5epY0VFRWThwoVk0aJFZPLkyeTevXsV1lEyiLeyQUOyYO/evXKvU5HUNL0hISGkWbNmpH79+sTPz0+iMmqa5upCN72EMJrLQ5GDeCsjJSWFzJw5k9jb25Nly5YJDGLt0qWLwKSP7OxscujQIQKAbNmyhRpYW1EZZbl+/Tpp1qwZ+eWXX4i9vT1p2bIlOXz4MCGEkAcPHpC2bduSevXqkfXr11N5Bg4cSAwNDYmamhoBQHR0dMjdu3dF+ljC69evibGxMenRowdZuXIluXDhgoA9ISGB2NjYkI0bN5J58+aRmzdvSnD2pIeJiQmxt7envov7PJZqANOqVSvSuHFjkpKSQrZv307S0tKkWbxMUWQA8/HjR7nXqUhqkl53d3eipaVFunTpQs08kISapFka0E0vIYzm8lDmAEbZiYyMJA4ODtR3Ho9Hvn37RjZs2KBAr6SPpAGMVF8h2draYsKECTAyMsK6deuEVutlEM27d+8U7YJcqQl6CwsLsWDBAkyfPh0TJ05EYGCgwHYaVaUmaJYmdNMLMJoZpI+TkxO+fv0qMD7l3r17GD58uAK9Uh6kOgtp7dq11P9ZLBYGDRokzeJrLVUZS1EbUHa9sbGxGDNmDF69eoWjR49i1qxZ1V4yXdk1Sxu66QUYzQzSZ9myZVi9ejVatmwJLS0ttG7dGhs3bkT37t0V7ZpSIFEAk52djRUrVqCwsBCnTp1CWloajh8/DisrK/Tv31/aPtZ6lHFmlCxRZr0PHjzA+PHjoaWlhcDAQHTt2lUq5SqzZllAN71A8YqnISEhinZDrpSsFssgGywsLHDp0iVFu6G0SBTALFmyBDdu3EDv3r0BAIaGhli9ejVGjx6NhIQE2NjYSNXJ2s7Hjx9pFVEro15CCPbs2YO1a9eiX79+OHfuXKWLHlYFZdQsS+im99u3bxg/diyKuFxFuyJXNNTUEB4RgSZNmpSbRk1NTawdmhnoS2FhITWruCpIFMC8evUKYWFhcHNzEzg+aNAgbNmyhQlgqsjAgQMV7YJcUTa9WVlZsLW1hbe3N9auXQsHBwepb3ymbJplDd30pqamoojLhSuAlop2Rk6EA1jE5SI1NbXCAMbc3Bw3b97E4sWLFbbSK4Py8ujRI2RkZEg0xlCiAKZHjx4i330+fvxY/E2YGCjc3d1r9IqWVUWZ9H78+BGjRo1CfHw8rly5gpEjR8qkHmXSLA/opreElgDaK9oJJWPnzp0YNWoUBg8ejMGDBzNBDAOA4l7vlJQUHDhwAP369cOIESOqXIZEAYyxsTESEhKogY0ZGRnYvn07zp49iylTpkhSJK2hW0OvLHovXrwIW1tbNG3aFEFBQWjVqpXM6lIWzfKCbnoZyuePP/7AlStXsHHjRjg6OoLH4ynaJQYlwcDAACNGjMC///6LOnXqVL0ASeZs5+fnk0WLFpGmTZuSNm3aEG1tbcJiscioUaNIRkaGJEUqHEWuA1N6/jsdULReDodDVqxYQQCQ8ePHk+zsbJnXqWjN8oZueoODgwkA4geQOJp8/AACgAQHByv69MsNut3XhChGs7jPYxYh/62JLAHfvn3Dhw8fUFhYiLZt28r0L1hZw2azERcXBzMzM8TGxsq1bi6XK9EAppqKIvUmJSVh/PjxePLkCfbs2YPFixdXe4q0ODDXuHYTEhICS0tL+IE+r5DeARgCIDg4WCk3yZUFdLuvAcVoFvd5XK2F7Jo0aYKhQ4di5MiRVPDy9OnT6hRJS/bs2aNoF+SKovQ+ffoUXbp0QVhYGO7fv48lS5bIJXgBmGvMwFAbkMZ9zeFw8PXrVyl4Ix+U+bcsVgBjb29PbWJX0WfLli1YuHChrH2WKQkJCWCz2QgICBA4HhkZCTabDTabjUWLFgnls7a2puxlcXd3p2ze3t4CtuzsbOzfvx9sNlvk7C1bW1sqb1pamoDt+vXrlO3o0aNCeS0sLMBmszFkyBAh26pVq6i8YWFhArZnz55Rth07dgjltbKyApvNhpWVlZBtx44dVN5nz54J2MLCwsBms7F//36sWrVKKO+QIUPAZrNhYWEhZDt69ChV7vXr1wVsaWlplM3W1lYo76RJk2BgYICePXuiSZMmCAkJQa9evQAA3t7eVF53d3ehvCU2a2trIduiRYsoe8nGbCUEBARQtr1792LChAkC9g4dOoDNZuO3334TKtfOzo7KW3pDNqB45dMS24YNG4Ty9u/fH2w2Gz/99JOQ7cCBA1TeO3fuCNhK7ns2m425c+cK5R07dixlLzsl9uzZs5Tt7NmzAEDpLSwspGxjx44VKnfu3LmUPSEhQcB2584dynbgwAGhvD/99BPYbLbItac2bNhA5S27WmxwcDBls7OzE8r722+/gc1mi9xpfO/evVTesm0EAEwGYAlA1Aig6f/ZLEXYvErZbpax5ZSyiWpdl5Wyp5ex3S1l8xSR99f/bKLmjdqXyvuljO1/KNYKACdOnBDKW902gs1my7WNsLGxoezZ2dkCttJthKieiKq0EUVFRejevTtatGiBPXv2CLQRZVGWNqLktyztNqKEytqIihCrX+jx48cIDAyEkZFRhdNLeTyeUCNU0+Dz+YiLixO6ADweD3FxcQCA79+/C+VLSUmh7GXJzc2lbHl5eQI2QggSExMBFE/FLEtaWhqVl8/nC9jy8/MpW05OjlDeuLg4FBUVwdjYWMj2/ft3Ki+3zNoVhYWFlC0rK0sob2JiYrlas7KyKFvZc8jlcis8h8nJyYiLixM5SyEnJ4fKW3o3VuDHNQMgFOTl5eUhICCAWor7+vXrMDQ0FLCX5BW1KFeJrXHjxkK20uew7MDEsuew7FYECQkJSE1NFblrbWZmJpW3qKhIwMbhcChbRkaGUN6kpCTExcWJXEguOzubyltQUCBgK31/p6eXfQxWfH+XPocl93dpvSW2lJQUobzp6enlnsOCggLKVvahAhTv4pudnQ19fX0hW0ZGBpWXw+EI2IqKiihb6SXaSyi5v0WtXVLR/Q0AJb9g4VKBNACJIo4DQH4pW34ZGyllE74ywPdS9rLjAQpK2UQtOZcIoAiAkQhbZqm8ZYfdFuGHVlG/m5rURgDFbW+JveyoitL3t6itE8RtI/Lz8zF27Fi8efMGLBYLGzZsoH7fotpZZWkjSn7L0m4jSlNRG1ERYgUwixYtgqOjIzp16lRp2mPHjlXJAWVDRUUFpqam0NTUFDiuqqoKMzMzAEC9evWE8jVo0ICyl6VOnTqUTUdHR8DGYrHQoEEDaGhowMhIuBkxNDSk8qqoCHaYaWtrUzZdXV2hvGZmZuUGMPXq1aPylv2rQlNTk7Lp6ekJ5W3YsKHAv6XR09Oj8pY9h2pqapRPos6hsbExzMzMRDZOurq6VLna2toCNhUVFcpWOjj58uULRo8ejeTkZNSrVw86OjpCZevo6FB5RY2CL7GJWtSu9DksG9iXPYfm5uYC9pJ7TNQ51NfXp/KW9VddXZ2yiVrKwMTEBJmZmSLvh7p161J5yzaKpe/v+vXrC+Wt6P4ufQ5L7m8tLS2EhIQI3H9qampCK9Xy+XzK/uHDB4FlGGJiYihbRkaGUN769etDW1sbOjo6QraCggIqb3h4uIDt69evlC0vL08or66uLoyNjaGnpydky8rKovJGR0dT9o8fPwIoDgTUAAiHVIAhAOGrXYx2KZt2GRurlE34ygD1StnLvhDVKmUTNcejIcoPYPRL5S37Z6vGf3lSIfp3U902AhDdzkq7jSjByMiIspd9rVz6/hb1GxCnjSCEYMmSJXj06BFmzpwJT09PtG/fHi9evIChoaHIdlZZ2oiStkvabURpKjqHFSHxIN78/Hyhm6Qmo8hBvAEBAejbt69c61Qk8tB7/fp1TJ48GQ0aNIC3tzfat1fs0Eo6XeNv376hRasW4BRyKk9cy2AG8dZuJPkdFxUVYezYsfDz84OPjw8+f/6MDRs2IDU1FaNHj8b9+/fh6+urtIs/KqLtEvd5LPHQYmtra9y9e1fo+IoVKxAcHIwOHTpg0qRJtFpOXFJq+mu3qiJLvTweD3Z2drC3t8eff/6JU6dOiXzFIG/odI1TU1PBKeSg7jIDqLLpMWOjKLgAeWeFX+My1C6q+jsuG7wMHToUnz9/BlDcw3H58mWMHj0a1tbWShvEKHPbJXHrkpSUhHbt2iE+Ph62trZwcnLC69ev4ezsjJiYGDRq1AjLli1DnTp1FP7Xr7LTrVs3RbsgV6SlNyMjQ6CLNC0tDTY2Nrh79y7++ecfrFmzRui1m6Kg2zUGAFW2GtSb02PVVW4svfZAoitV/R3b2toKBC9lKRvEPH78WOTAZ0WizG2XRK27u7s7GjdujOnTp+Off/5BXFwcPDw8EBUVBaD43R0A/P3339iyZYvUnK2tXL58WdEuyBVp6H3+/DkaNGhATUcMCQmBlZUV/ve//8HPzw/r1q1TmuAFoN81ZmCojVT1d2xiYoJr166JDF5KKAliZs+eLTS4XhlQ5rZLoh6Yz58/48aNG9T3efPmwcXFBdra2lBVVaUGQTVq1AgPHz6Ujqe1mCVLlijaBbkiDb3bt29HixYt0LRpU5w8eRLz589H+/btERAQIDRgVhmg2zVmYKiNVPV3LGp6tCi0tLTg4uIiiUsyR5nbLon+RC07WyYjIwMpKSngcrkCI4yTk5OFpngxCLN7925FuyBXqqv37du3uH79OlauXIn58+djxowZmDp1Kh4/fqyUwQtAv2vMwFAboePvWJk1S9QDk56ejjFjxqB169ZITk7G48eP8fPPPyM6OhpqampITk6GsbExLly4gNatW0vb51oH3Ta+q67enTt3gs1m4/Dhw3j//j3+/fdfzJw5U0reyQa6XWMGhtoIHX/HyqxZoh6YrVu34ueff8aNGzcQGRkJDw8PaqVMV1dXbN++HYMGDaoVK/PKAwcHB0W7IFeqozciIgJeXl74/v07EhMTYWdnh/DwcAwePBienqLWGlUO6HaNGRhqI3T8HSuzZol6YNTU1GBnZye0DLeHhwcAYOLEibh37x6mTJmCKVOmVN/LWs6MGTMU7YJcqY7eWbNmgc/nU6u0rl27llqyvPRKt8oG3a4xA0NthI6/Y2XWLPVpGiV7/fz+++9M8CImt27dUrQLcqU6ejU1NdG6dWts2LAB169fR0JCAmJiYnDlyhWRe4YoC3S7xgwMtRE6/o6VWbNEPTAxMTFwdHREeHi4wCBdHo+HN2/eYNSoUVJzkA6I2jSuNlMdvX5+flL0RH7Q7RozMNRG6Pg7VmbNEgUwQ4cORVpaGnr16iW0D0ZMTIxUHFMUiek8mE+Qr4aCAgNoadXs81YV6KYXAPLy9KCu/lXRbsgFDqcOVHo+Rc59FeBh2d15aiekiEClJx9TAagr2hk5wUFxF/7w7QZQV6fH71kabVfW5+/IKyRyf85IiiLa68T0stuHikaiACYpKQkvX75Es2bNhGz37t2TpEixWLZsGZydnanv586do7b6Loufnx9Wr16NyMhIWFlZwcXFRawVgXl8IC5VvJMnPdSBHHnXqUjophcANCtPUmvQBEvLFET51uSSKSyt4h2n6QQLQHImILxfdW2l+m0XP4eAEEU8ZyRF/u01jy9eOokCmHXr1iE6OlpkAGNiYiJJkZXy/ft3REREYN++fQCKdxcdM2aMyLSfPn3Cpk2bsGzZMmRnZ8Pe3h6///47Pnz4IHLH59KoqgBmRmX3XpUtHA4H6up0+buNnnqTkpIAdQOARYO9gfiFADcbKgYqgCp9emBINh9GoFcPTCqK23y6/J6l0XZlpbOQyZL/c0ZSFNFex6mIFxJL1JoaGhpi3759iIqKEliunc/n49y5c7h9+7YkxVbIoUOH4ODgINb7OD8/P9y7d4/axK9Lly7o1asXfH19Kx1R3bC+KqLPN5aKz+Li4uKCxYsXy7VORUI3vSEhIbC07AGVrtfA0munaHdkDj/pBkjoMug5GdFmL6T8h3nI2ZcBD9BvN+rrNNqNWhpt1/799bBhA0vuzxlJUUR7zWarIi6u8nQSBTBHjhzBixcvcO3aNSFbyTYC0qSgoAAuLi44e/Ysxo4di+XLl0NPT6/c9OPGjRPYgfi3336DgYEB0tPTpe6bNJg+fbqiXZArdNPLwMBQO6Bj26XMmiUKYBYuXAgXFxdYWVkJBCwcDgc7duyQmnMlhIaGom/fvnj16hXs7Ozg7u6Ou3fvomXLliLTN2rUSOA7IQQ8Hg/du3evtK6EhASh12CqqqpV2hjQ09MTffv2pb4HBARg8uTJAIDly5dj+fLllC07OxuNGzdG3bp1xS5fFH369MGZM2cEjvXv3x+fP3+Grq4uPn36JGBbtWoVzp07V606AcDf319gteWzZ89i9erVAABHR0dMmjSJsoWFhWHAgAHIzs6ult6JEycKLW/9008/IScnB61atcL9+/cFbDY2NlLZk+vjx48Cfu/du5fa66Sia87hcAAA/NfTAZWqdcWymsyESpNZ1HfCzQH/+cBim8EvUGnnLJCeFzIJyIusUh1CqOpA9Vd/gUP88H9Akor/YFHp7AlWneY/bIlXQb7sLOVEPgAgc1t6ld6Y1ZmqB60+P7Yi4cZxkbk5FQCg2UsbutP1BdKn/50MUiDmy/JyUG2kBgN7wdfKWXu/g/OhEABQ74AxVLR//PbzruYg3zdHqBxSSAAAkyFeo+oKoEep708BLPrv/3MAzC1lywHQR4wyK+NXAAfKHBsL4CuAOgAelbHZA/CpoLyS/beHDh1a4SsGSdqI6iKrNqKytkvSNqI6iHqmtGnTBkDFzwVxEaW5smdKRde8LHw+Hzye4Auj1NRUsXyTKIAZN24cuFyuUG/LixcvMHv2bEmKrJAuXbrAy8sLAODj44Pp06dj7NixePXqlVg9Pi9evEC7du3EWieEz+cjOTm5Wv6mpqbi4MGD6NWrF6KiovD69WvE/dcflpCQAAcHB2zcuBEODg6YNWsWsrKykJWVVa06v337ht27d2PRokXYs2cPNm7ciPfv3yMlJQVaWloICgpCWloa8vPz0bJlSwQGBlI+VYeIiAi8fv0aDRo0gKamJu7du0eVm5OTAwcHB6xfvx47duzAL7/8QtmqozcpKUngHC5atAhRUVEoLCyEiooK/Pz8YGhoiNevX2PEiBF4+fKlVLQ+f/4cKioqSEtLQ8eOHeHn50eVW1hYCAcHB8ydOxfe3t7gcDjCdXIkGOLJzQE/0hUs8zkgMSeBer2BwkQAAMmLBD/hClgGXUGSroHVZDaQ81myekqjogWScg/QagSSGQKWyR8g35/9qJebDfLtBFj1ewF5X4CsN5StNCSTD1KFakkRQe6FbGj9roOikEKwNAB+WnGAwkviIc83B1oDdZB/LRd1xtUFL4n74ykqKao8FPjnQb2jJgru56HOuLrgfC6i6uUncVEUxYVKA1WAD3A+FlI2UYjX7ALpANwBdAMQC+ADgJIzmAzAGcDS//6dVMpWHWIBHAZgC+DIf+WHoXjgsSaA1wC+AygA0AxAkJj1VtZeStpGVAdZthEVtV3itBEsFgtcLhfv37+XitasrCw4ODhg1apV2L9/PwYNGkSVGx4eDk9PT/z22284f/48Vq5cST0XqlpHabS1tXHt2jU0btwYz549w7hx4/DgwQOq3szMTDg7O2PQoEH4+PEjgoKCpKK1LBIFMKqqqvD390dqair4/B8/5m/fvmHlypV4/vy52GUtWrQIr169qjBNYGAg9f+RI0fiwoULGDx4MJ49e4YePXpUkLMYJycn7N+/Xyx/VFRUhAb6VrUHxsjIiBpg3KFDB+jp6cHMzAwAYGpqSkXLGzduRHZ2NvT09KrdA9OkSROsWrWKKhcA2rVrR/XAdO3aVSD9b7/9JpUp782bNxeItKOjo3Hnzh0AxVH6nDlzAAAbNmxAWFgYzMzMqt0DY2JiQmks+bdp06bIyclBixYtMGTIEACgNHfr1g35+fkS11dC9+7dBfweMmQIQkNDARQvsFfiy9y5cxEQEEBdcw6HU9zIqxtWuQcGarpUDwzLfB4INwdEs2Hxd51mUDH9q/j/TecXp9dtJZUeGFaD34vLrdu2+N96v4IUFT+eWWp1wWry31gy3ZYg/CLgP58AFPfAcDPB0lepUg8MS4OFOuOKz6/27zrgxnGhYlj8u1M1UYWOtS4AUGlUTdSq3wNjogqtAToC5aq30gCHU9wDo2KiBq2mP8bxcL9ywA3nCJVDCglIDoERxGtU6wMY/t//2wLQBVByBo3xowdmKYp7YBqi+rABzC9VLgC0xo8emE5l0ncFUNEjh4vigM3Y2LjCHhhJ2oiKyMnJgYaGBjQ0yh9fJas2orK2S5w2Yv/+/VBTU0O7du0q1SoOenp61DNl9erVyM7Opspt2bIl1cuzdu1aAD+eC+JSXg/MiBEjAACdOnUCAPTr1w+JicUhr76+PpYuXQoAaNu2LQoLC8vVWl4PTOnYojxYhJCq/JEEAJg9ezaOHz9eXACLhZIiWCwWunXrhmfPnlW1yCpjZWWF5cuXC3Q/iuLixYuIjY3FsmXLKkzHZrMRFxcHMzMzxMbGStPVSklPT0f9+vXlWqcioZve4kG8lvQZxJvgAxK6DAY0HMTrB/oN4g2W4yDeEydOYObMmdDT00NISAiaN29eeSYpIo22a//+/diwYQNycoRfRSojimivxX0eS7SVwOfPnxEWFoaMjAzs3LkTfD4ffD4fu3btwsmTJyV2uipYWFiAzWZXmObTp08IDAysNHhRNNIYi1KToJteBgaG6nPixAnMmjULurq6UFNTQ9++fRERESFXH+jYdimzZokCmD59+qBly5bQ09NDfn4+srOzAQB//fUX1R0oS3g8HvLz8yt8fZSQkIA9e/Zgz5491LGsrCwUFCjf6lq9evVStAtyhW56GRgYqkdJ8DJv3jwYGhpi8uTJ0NHRkXsQQ8e2S5k1SxTAhIeHY+PGjXj+/DmmT5+OSZMm4datW9i+fTvevn0rbR9hZ2cHe3t7FBQUoKioCBs2bMC6deugplb8tjkxMRGWlpbw9y+eOZGWlobx48dj4MCB8Pf3h5+fHy5evAhbW9sK35sqiqioKEW7IFfoppeBgUFySgcvBw8eBIvFQt26dREQECD3IIaObZcya5ZoEO8///yDmTNnQkdHB+vXr8fEiRMxatQoFBUVYevWrVJ2EahXrx62bNmCw4cPo1evXti6dSs1TQwoHt0dFRWFzMxMcDgcDBw4EK9evcLjx48Fylm4cGGVBuPKC1XVmrEio7Sgm14GBgbJEBW8lGBqaoqAgAD07dsXffv2RUBAgMzHxNCx7VJmzRIFMM2aNROYRz9p0iT8+eef4PP51Z5NI4rFixdXuBKgubk50tJ+TB0NCQmRug+yxNTUVNEuyBW66WVgYKg6T548KTd4KaF0EDNo0CB8+fJFJouplq6PbiizZql1R9SpU0cmwQsdCAoKUrQLcoVuehkYGKpOixYtcPLkyXKDlxJMTU3x8OFDbN68WeY+0bHtUmbNNNhZTvkZNWqUol2QK3TTy8DAUHVMTEwwbdo0sdI2bNhQ7LTVgY5tlzJrVr4BITTEzc1N0S7IFbrpZWBgqB3Qse1SZs1MAKMElKwUSRfoppeBgaF2QMe2S5k1Sz2A+ffff6VdZK3HwcFB0S7IFbrpZWBgqB3Qse1SZs0SBTBv377FmDFj0K5dO7Ro0QIWFhawsLCAubk55s+fX3kBDAKU3kmUDtBNLwMDQ+2gqm3XrVu3qP2BKuP27dtISEiQxC2ZoszttUQBzMiRIxEWFoY//vgDkydPxrRp0zBt2jTY2tpSGzsxiM/hw4cV7YJcoZteBgaG2kFV2661a9eiV69ele6vt3fvXgwZMgSPHj2qjnsyQZnba4lmIRUUFODRo0ci9yIq2eWTQXyGDx9eeaJaBN30MjAw1A6q2nb5+Pigb9++6NevHx48eCDymbl3716sWLEC69atw7hx46TlqtRQ5vZaoh6YnTt34tWrVyJt4myBzSDImzdvFO2CXKGbXgYGhtpBVduuZs2aISAgAEVFRejXr59QT0zp4GX79u0yXYRPUpS5vRarB8be3h6EEIFjJ0+eRHBwsMDS/Hw+Hzdu3FDqhW+UEUNDQ0W7IFfoppeBgaF2IEnbVRLElPTETJ48GUDNCF4A5W6vxQpgHj58iGfPnsHIyEggYCm7yROPx1PKQUjKjra2tqJdkCt008vAwFA7kLTtKh3EHDhwAEVFRTUieAGUu70W6xXS33//jefPnyM6OhqRkZHlfr59+4Y9e/bI2meZkpCQADabjYCAAIHjkZGRYLPZYLPZWLRokVA+a2tryl4Wd3d3yubt7S1gy87OxvDhw8Fms2FjYyOU19bWlspber8nALh+/TplO3r0qFBeCwsLsNlskeOSVq1aReUNCwsTsD179oyy7dixQyivlZUV2Gw2rKyshGw7duyg8j579kzAFhYWBjabjeHDh2PVqlVCeYcMGQI2mw0LCwsh29GjR6lyr1+/LmBLS0ujbLa2tkJ5bWxsKHt2draAzdvbm7K5u7sL5S2xWVtbC9kWLVpE2SMjIwVsAQEBlM3T01MoL+/FEPACfwXvf2OFbPyv+4ttgb+CZL0TsJGcT5SNH7FbuNyQScX2ZwOEy4059aPcNMHBgqQw+Ue5H9cLl/tuwY+8/ELBchOv/sibeFWwXA5B2sxEpM1MRKZjulC52YcyKDsvnSdgK3pVQNnyb+QK5U3/OxlpMxORsSlVyJbrmUXl5UZxBGycL0WULfd8tlDe7+tSkTYzEelLkoVseVdzqLxF7wqF7JMBWAIQtXLG9P9sliJsXqVsN8vYckrZForIu6yUvewZvlvKJnwXAr/+ZxNueQD7Unm/lLH9D8VageINF8tS3TaCzWaX20bExMTgwIEDQjZ5tBGitIrbRgDF7QKPxwOHw8GkSZNw6tQpNG7cGHv37hXK26FDB7DZbPz2229CNjs7O6rc4OBgAdu7d+8o24YNG4Ty9u/fH2w2Gz/99JOQ7cCBA1TeO3fuAAA+f/4M4Mezkc1mY+7cuUJ5x44dS9kLCwV/G2fPnqVsZ8+eFbAVFhZStrFjhdvDihCrB2bkyJEC32/fvo3BgwcLpbt37x4mTZpUJQeUDT6fj7i4OKELwOPxEBcXBwD4/v27UL6UlBTKXpbc3FzKlpeXJ2AjhOD79+/4/v07UlOFG+K0tDQqb9nxRfn5+ZQtJydHKG9cXByKiopgbGwsZPv+/TuVl8vlCtgKCwspW1ZWllDexMTEcrVmZWVRtrLnkMvlVngOk5OTERcXBw0NDSFbTk4OlTc/P1/AVnLNAAgFeQCQmppK2cu+Cs3Ly6NsubnCD8kSW+PGjYVspc8hjyf48C19DkWVi8IUgJMOqGgK27jZQOF/Uy+J4MMXfO4PG0f42qAotdiuqits4+X+yFsmCAHhUTbCzRBRbvqPvELl5v+w8fIBFS1Bl9OK71uSKTw+jp/Dp+woYyacUnnzReRN54HkE7B0RNhyf5RLeILXHNxS5eaJyPudB34aHyyOkAkkr5S/XCJkL/kFZwpnRRqA8ibU5pey5ZexkVI24RAQ+F7KXtajglI2EXchEgEUATASYcsslZdXxlaEH1pF3d+ybCN4PJ5QkAHIp41o2rSpUN6qtBEtWrTAgwcPcOHCBfTq1Yt6mItqZxMSEpCamgotLS0hW2ZmJlVuUVGRgI3D4VC2jIwMobxJSUmIi4sTuXdhdnY2lbegoAAAMGDAAMr/Elt6uvCdWNEzsPQ5LPsMBH6cw5SUFJH5y0OsAKZs99bVq1dFBjBWVlYYNmwYnj59WiUnlAkVFRWYmppCU1PwwaKqqgozMzMAQL169YTyNWjQgLKXpU6dOpRNR0dHwMZisaCnp4e6devCyEi4GTE0NKTyln59BxR37ZXYdHWFH1hmZmblBjD16tWj8qqpCd4GmpqalE1PT08ob8OGDQX+LY2enh6Vt+w5VFNTg5mZGbKzs0WeQ2NjY5iZmYkMYHR1dalyy3ZpqqioUDZR72uNjIwoe9l7WUdHh7LVqVNHKG+JrUGDBkK20uew7Jbzpc+hqHKh2QBQ0QA0hMuFWl1A879zy1IXtKmo/bCpC18baBgVB0CqOsI21To/8pYNnFiqlI2lZiCi3Po/8gqVq/3DpqoNlHkAqBgW37csfeEOXxVdFcpetj+YpV4qr7aIvPVVQQr4UDEQYavzo1yWapnuebVS5eqIyFtPFeAQsHSFbSydUv6qCXf7GxUXD30hC2AIoJwzCO1StrId9qxStvoi8tYrZS/rkVYpm4i7EA1RfgCjXyqvahmbxn95UiH6/q5uGwGIbmeNjY2hqqoqsr2TRxsREhIilLeqbUTHjh3RsWNHBAQEVNjOljyHRJ1DfX19Km/Z9lJdXZ2yGRgYCOU1MTFBZmamyHNYt25dKm9J4HTq1Cls3LhR4BlYv77wnVjRM7D0OSz7DAQqPocVwSJlw81yeP/+PRwcHJCcnIzPnz+jVatWQmmio6NRVFSEmJiYKjmhDLDZbMTFxcHMzKzSOfsMDFUhJCQElpaWUOl6DSy9dop2R+bwE3xAQpfBwMkI6s2Fg9HaSP7DPOTsy4AfgPaKdkZOvAMwBEBwcDC6dOkit3qbNWsGGxsbpV4hlqF6iPs8Fnsadbt27XD06FFoa2tDV1cX5ubmAp+mTZti2LBhuHbtmlQE0Am6/RDpppeBgaF2QMe2S5k1V2khOz09PXh7e8PDwwOzZ88WsvP5fKHXHAyVs27dOkW7IFfoppeBgaF2QMe2S5k1Vzna0NTUFBm8AMUjrC9dulRtp+iGo6Ojol2QK3TTy8DAUDugY9ulzJol2kogNDQU27ZtQ2pqqsDMmNTUVCQkJGDMmDFSc5AO1PSZW1WFbnoZGBhqB3Rsu5RZs0Tve2bMmIGYmBjo6+ujqKiIGgfD5/Oxbds2aftY61HGDbxkCd30MjAw1A7o2HYps2aJemDatGmDkydPAgA2b95MBS0+Pj4i1zJhqJhmzZop2gW5Qje9DAwMtQM6tl3KrFmiHhh9/R+rHDRu3JhaTbF58+ZMD4wElF1IrrZDN70MDAy1Azq2XcqsWaIeGF1dXbDZbMyfPx+rV69Gnz590LhxYzx9+hTq6uqVF8AgQGJieetz1k7oppeBgaF2QMe2S5k1S9QDY29vj3/++QcDBgyAuro6vLy8oK6uju7du+PixYvS9rHWY2kpaneU2gvd9DIwMNQO6Nh2KbNmiQIYFouFqVOnonv37gCKXyN5enri4sWLSi1WWfHx8VG0C3KFbnoZGBhqB3Rsu5RZs0QBDJ/Px6FDh9CpUydqD5+RI0fi5cuX0vaPFoja3bo2Qze9DAwMtQM6tl3KrFmiAGbFihVYuHAhsrKyMHr0aMyYMQN6enoYMWIEfH19pe0jxbJly8BisajP+fPnxcrn6ekpchdRZWHPnj2KdkGu0E0vAwND7YCObZcya5ZoEK+HhweWLFmCPXv2COzCm5WVhRkzZsDa2lpqDpbw/ft3REREYN++fQCKdxcVZ8G89PR0rFixQmh3UmVi48aNinZBrtBNLwMDQ+2Ajm2XMmuWqAemSZMmmD59ukDwAhTvldSuneBuuxwOR3LvSnHo0CE4ODhg6dKlWLp0KRYvXgw1tcrjr02bNqF///5S8UFWKPNmWbKAbnoZGBhqB3Rsu5RZs0QBzJkzZ3D16lWh46mpqUhPTxc4duTIEck8K0VBQQFcXFwwceJEbN26FVlZWWLle/ToEUxMTNC6detq+yBLZs2apWgX5Ard9DIwMNQO6Nh2KbNmiQKYKVOm4PDhw2Cz2bCwsICFhQXMzc3BZrNx/vx56ljjxo2xbNmyajsZGhqKvn37gsPhwM7ODh06dEB4eHiFeYqKiuDs7Iy1a9dWqS4Oh4OQkBCBT0JCQnXcr5Rr167JtHxlg256GRgYagd0bLtkrTkhIUHomSvumxuJAph+/fqhZ8+emDVrFqZNm4Zp06ZhxowZWLduHf7++2/q2LRp09C2bVtJqhCgS5cu8PLywufPn3HlyhVkZGRg7NixIISUm8fR0RFLly6FhoZGlepKTk6GpaWlwMfGxgbx8fE4fvw4goKCcPv2bXh7eyM0NBQuLi7IysqiutkcHByQnp6OgwcP4u3bt/D19cWNGzcQEhICNzc3pKSkCKTNy8vDhw8fEBYWhgsXLsDf3x9Pnz6Fu7s7YmJiBNLyeDzs2LED0dHROH36NAIDAxEQEIDz588jPDwcu3fvRkFBgUCexMREHDt2DEFBQfDz88OVK1fw/v17uLq6IjMzUyBtRkYGDhw4gHfv3sHHxwc3b95EcHAwjh49iqSkJIG0+fn5cHJyQnh4OLy8vHD//n08efIEHh4e+PbtG7Zv3w4+nw8HBwfw+Xxs374d3759g4eHB1gsFu7fvw8vLy+Eh4fDyckJ+fn5AuUnJSXh6NGjCA4Oxs2bN+Hj44N3797hwIEDyMjIEEibmZkJV1dXvH//HleuXIGfnx+CgoJw7NgxJCYmCqQtKCjA7t27ER4ejvPnzyMgIACBgYE4ffo0oqOjsWPHDvB4PIE8MTExcHd3x9OnT+Hv748LFy4gLCwMTk5OyMvLE0ibkpICNzc3hISE4MaNG/D19aWCbcLNBj/SFQDAj3Qt/h5zEiQnHCTZDyTtIUjWG/DjvUAKkwTT8gvBjz4CkhcNfqIvyPfnIN9fgp9wBSQ/FvyowyB8rmCeggTw4y+CZL4CSXsMknQDJDcC/G/HQbi5gmmL0sGPPQOSHQqS6g+Scg8kOxT8WE8QzvcyfueA/+3Ef37fAkl7BJL5Cvz4CyCFSSApdwAABXfzQLgEed7Z4CVyUfAwD0UfClH0oRAFD/PAS+QizzsbhEuQeyEbAJB7IRu8dB7y7+WB87kIRa8KUPg0H9wYDvJ8c8DP5wuk5WfxkX8rF9yvHBS+LEBhUAG4XznI98sFP4snkJbk85HnmwNuLAeFT/JR9LoAnLAiFPjngZdaJi2PIO9yNnhJXBQE/Of3u0IUPMoDL+E/vzk//C56UQAA8APwGkAAgJsAPgM4DiAbgPN/bYwzgO8A3AGEArgD4B6AdwBOA0grkzYfwBEAXwD4AngMIAiAF4C4Mml5AFwBxAK4BOAlgKcArgL4CuAwgIIyeZIBnPnP7wcAbgH4BOAEgKwyaTMBnATw8b9yAeDjx49SbyOePHlSYRsRGBiokDbCxMREJm3E27dvcfDgQaSnpwukzcrKgouLC0JDQ+Ht7Y3bt28jKCgIx48fR3x8vEDawsJCODo6IiIiAufOnUNAQAAeP34MT09PREVFYefOneByuQJ5YmNjcfLkSTx//hx3797FxYsX8enTJ+zbtw85OTlwcHBAp06d4ODggNTUVBw5cgSvX7/G9evXce3aNbx+/RqHDx9GWlqaQLnZ2dlwdnZGaGgoLl++jDt37uDFixc4ceKEkN+HDh0SeuYmJydDHFikoiigHL5+/Qo1NTU0adKk0rS3bt3C0KFDy7UvWrQIr169qrCMwMBAge937tzB4MGD8eTJE/To0UMo/efPn+Hi4oIDBw4AALZu3Qp3d3dERUWVWwebzUZcXByMjY1x69YtAZupqSlMTU0r9LE6+Pn5YciQITIrX9mgm96QkBBYWlpCpes1sPTaVZ6hhsNP8AEJXQYDJyOoN6/aHxA1lfyHecjZlwE/AO0V7YyceAdgCIDg4GB06dJFbvU2a9YMNjY2ChmbQbe2C5C95oSEBKG3HEOHDkVycjLMzMwQGxtbbl6JZiFZWFhQ/y8qKsK8efOwYcMGNG/eXChtRcELALi6ula5/kGDBsHS0hJRUVEiA5jNmzfj0KFDVS4XANTV1eX6YwSA/Px8udanaOiml4GBoXZAx7ZL1ppFdRCIuyWRRK+QSsPhcODu7o6kpKTqFlUlLCwswGazhY5HR0fDy8sLhoaG1HoxdnZ2iI6OBovFgru7u1z9FIeWLVsq2gW5Qje9DAwMtQM6tl3KrLnaAYwi4PF4yM/PF9n7YmpqilevXgl85s6dSx2XxRo11eXBgweKdkGu0E0vAwND7YCObZcya5boFZK8sbOzg4qKClatWgUVFRVs3rwZ69ato9aBSUxMxB9//AFHR0cMGDAAnTp1EsjfsGFDaGhoCB1XFqZOnapoF+QK3fQyMDDUDujYdimz5mr3wKirq2PatGkwMTGRhj8iqVevHvbu3QsLCwtMmTIF06ZNE+h9KSwsRFRUFDIzM2XmgyyRZBxQTYZuehkYGGoHdGy7lFmzRLOQbt++jcGDBwsdv3v3Ljp16oQGDRpIxTl5UjILqbJRzwwMVYWZhVT7YWYh0WMWEoN8EPd5LFEPjKhVeAGga9eu+PPPPyUpktbQ7YdIN70MDAy1Azq2XcqsWewxMO/fv4eDgwOSk5Px+fNnfPr0SShNdHQ0ioqKpOogHVi4cKGiXZArdNPLwMBQO6Bj26XMmsXugWnXrh2OHj0KbW1t6OrqwtzcXODTtGlTDBs2jJZLLVcXT09PRbsgV+iml4GBoXZAx7ZLmTVXaRaSnp4evL294eHhgdmzZ8vKJ9rRp08fRbsgV+iml4GBoXZAx7ZLmTVXeQyMpqZmhcFLeeNjGMonIiJC0S7IFbrpZWBgqB3Qse1SZs0SrQMTFxeHffv24dOnTygoKACfzwdQvMDcmzdvkJGRIU0faz1V3XCypkM3vQwMDLUDOrZdyqxZogBm6NChSElJQe/evWFkZAQWi0XZYmJipOYcXZDlGjrKCN30MjAw1A7o2HYps2aJ1oExNDTEixcv0KJFCyHb3bt3MXDgQKk4J09K5p2bqqggRIY7T4siNzcXderUkWudioRuejkcTvH28OqGgIp4m5TVaHj5ADcTLH0VsGrEWt/VhxQSkBwCA9SQ5c2lABdABgBjY2OxN9+TBt0SEzFKRwdr9fTkVmcJdGu7AMVo7pKQgAQ+Xza7Ua9ZswZxcXEiA5iGDRtKUqTSQPh88OPi5FqnNgA+jV670U2vKgBTAOCkKdgTOZPJV7QHDDJEHcW/ZSQnQ95XmmRng5+dLeda6dd2AYrRLG6vilgBjIeHh8D3hg0bYt++fYiMjISKyo9xwHw+H+fPn4efn5/YjiobLBUVqMi5ByY7Oxt169aVa52KhG56mR6Y2g/hAiSTj3r16sm1N0LR5OXlQV9fX76VJiaCpaMDFQX0wNCt7QIUo5mVkADwKw+LxWpeDh48iKCgIKHjvr6+whWXGg9TE1ExNUVDOW8lULP7rKqOpHoJIWjXrh1atWqFuXPnok+fPtDW1paqb7IgJCQEVpaWUOnkTq+tBDbXp81WApyIImSsSEXwvXtyXVafjqg2awZdGxs0VMAKsXRrqwHFaFZhswEx3oSINY3677//xsOHD8Hj8cDn88v9cDgcbNiwodrO0w1lXqpZFkiql8Vi4du3b/Dx8cHQoUNRv359DBs2DC4uLvjy5YuUvWRgYKgMpu2q/SizZrECmAkTJqBr164CvSsvXrwQSqeqqopVq1bh1atXzFTqKrBixQpFuyBXqqN39erVUFVVBQAMHjwYRUVFWLlyJVq1aoW3b99Ky0UGBgYxYNqu2o8yaxYrgNHQ0ICWlpbAsfXr1yMpKQlv376l1oHhcrkYOHAgDh8+jH379uHIkSPS97gWcujQIUW7IFeqo9fW1haEEAwaNAhXr17Fr7/+irS0NDx58gRt2rSRopcMDAyVwbRdtR9l1izxELuvX7+icePG4PF4sLKygr+/P0JCQhAUFAQ/Pz8YGBjgwIED8PHxwciRI6Xocu3D2tpa0S7IleroZbPZGDx4ML5//w5HR0esXr0aKSkpOHjwINUzw8DAIB+Ytqv2o8yaq7yVAFA8jXru3Ll4+vQpPnz4AFtbW7i5uSE1NRUAYGBgAAAYNWoU9uzZIzVnayshISGKdkGuVFfvjBkz8Pz5c/zxxx84ceIEjh07hvHjx6OwsFBKHjIwMIgD03bVfpRZs0Q9MA0aNMDKlSup7z/99BMOHToELpcLNbUfRerr6+P169fVdrK206BBA0W7IFeqq3fEiBEwNDTE1atXsW7dOhgaGmL8+PEYNmwYrly5Aj0FTK9kEIYXy1W0C3KDTlpLw7RdtR9l1ixRAJOamgo+n0+tAfP48WNERkZCT09PYL74169fa8Q0V0WjqampaBfkSnX1ampqwt/fH0ZGRgCKuzhv374Na2tr9OvXD7du3YKxsbE0XGWQBLXiADJ7X4Zi/ZAzGpoa1D1JF5i2q/ajzJolCmDat28PMzMzWFhYIDk5Gbq6uujcuTMOHDgATU1N3Lp1C0OHDoWzszMsLS2l7XOtIyIiAj179lS0G3JDGno7duwo8L137954+PAhhgwZgp49e+Lu3bto2rRptepgkAyWpjEIAE9PT1oNrH748CGaNGmiaDfkCtN21X6UWbNEAYyNjQ1MTU3h6+sLIyMj/P3339DT08OpU6fQs2dPPH/+HA0aNEBWVhbu378vbZ9rHX379lW0C3JFVno7duyIJ0+eYNCgQejRowdu376N9u3by6Quhspp06YNrRZ1o1vvC8C0XXRAmTVLNIgXAPr37w9nZ2ds3LgR9erVg6qqKmbMmIHWrVtj2rRp+Pz5Mz5+/Ki0kZsycfr0aUW7IFdkqdfCwgKBgYEwMTFB79698eTJE5nVxcBQGrr9jgH6aaabXkC5NUscwJSHj48PAKBevXqwsLCQdvG1knXr1inaBbkia70NGzZEQEAAOnbsiN9//x3Xr1+XaX0MDID07utCf38ktW6NeG1t8NNEbwCaNmgQEvT0kHf2LAiPJ5V6JYFpu2o/yqxZrABm1KhR2LdvH/V92LBh6N+/v9CnT58+mD59uqx8rbX8888/inZBrshDr76+Pvz8/DBkyBCMHDlSaENSBgZpI637WnPAAGiPGQMAyD16VMjODQtD0ZMnUO/QATqTJoGlwPWPmLar9qPMmsUKYMzNzWFiYkJ9NzU1RV5eHthsNszNzQU+dNupUxqsX79e0S7IFXnp1dLSwsWLFzF9+nRMmzYNe/fulUu9DPREqve1ujp0Jk1C3uHDIFzBKdq5R45Aa8wYQE3xW30zbVftR5k1ixXA7Nu3D5MmTaK+L168GGfOnIGHhwdOnjxJfTw8PJT6fZmysmPHDkW7IFfkqVdNTQ3Hjh3DunXrsGLFCqxduxaEELnVz0AfpH1f68yZA15SEgquXKGO8XNywM/MhGrjxtSxwsePkTFvHrI2b0Zq797gxcWBn5mJjDlzEM9iIWfvXnCjo5HYqBEKrl2Tqo9M21X7UWbNEo2B6dixI5o3by7S9tNPP1XLoYpYtmwZWCwW9Tl//nylefLy8uDo6IgtW7bg9OnTyMvLk5l/kjJlyhRFuyBX5K2XxWLhn3/+wd69e7Fr1y7MmjULXC49Fx5jkB3Svq9VTEygPW4ccl1cqGP5p05BZ+pUgXRZy5ZBe9Ik6G3bBlbdusg/fx4q+vrQd3ODRt++4Lx/D+6HD9B3cYHWiBFS9ZFpu2o/yqxZrD7Ib9++iVUYj8fD/v374ezsXB2fRPL9+3dERERQY3FUVFQw5r/3xOURExODsWPHws7ODoMHD5a6T9IiICAAU8s0SrUZReldtmwZGjRoAFtbW6SlpeHcuXNyXWiR5H2RW12KhC46yyKL+7rOokVI/eUXcF69gnrnzih89Ah1/v4bhffuUWn0XVygbmkJzps34KemguTkACgO3PUPH0ZK585QqVMH+q6uUvUNYNouOqDMmsUKYHr37o2YmJhK0xFCwGKxZBLAHDp0CA4ODujQoYNY6TMzMzF48GCsXr1aqYMXAOX2ZtVWFKl38uTJqF+/PsaMGYMhQ4bA19cX+vr6Mq3TyMgIGhqaKPqwDHR5eaWhoUm7dVFkcV9rdOsG9W7dkOPiAp3Jk6HZv79QGhVTU2Rt2gStIUOg1qaNwCtS9Z9+guaAASgKCaHaZ2nCtF21H2XWLFYAM2PGDADAb7/9VuGOv1wuF//++690PCtFQUEBXFxccPbsWYwdOxbLly+vdL+btWvXonHjxjViVhTdNiFUtN5hw4bh3r17+OOPP9CnTx/4+fmhYcOGMquvSZMmcHc/idatW8usDmUjLCyMdqvSyuq+rrNoETJmzwbJyICBp6eAjRCCtH79YPjgAdSaNUNemdl2hQ8fQnvcOGRv2YK8EydQZ+ZMqfqm6N+yvKGbXkC5NYsVwJw/fx5mZmbYvHlzpWllMQYmNDQUffv2xatXr2BnZwd3d3fcvXsXLVu2FJk+MTER//77L1auXIl58+bh2bNn6NChA5ydnWFoaFhhXRwOR2j3TVNTU5iamkpNT1lSUlJkVrYyogx6e/TogcePH2Pw4MHo2bMn7ty5I9O/NFRUVGi1Km14eLiiXZA7Ur2veTzgv3Fa2uPGIWvlSqg2awaVOnUE7CQ9HbzoaPBTUsDT0AA3NBSqJibgRkZCxcgIBdevQ3/3bqgYGCBjxgxoWVtDVYqb8ynDb1me0E0vIHvNCQkJSEhIEDjG4XDEyivWIF5jY2PcunWL+r579+5y02ZkZIhVcVXo0qULvLy88PnzZ1y5cgUZGRkYO3ZsubNJrl27Bi6Xi44dO+LIkSO4fPky/Pz8BGZSlUdycjIsLS0FPjY2NoiPj8fx48cRFBSE27dvw9vbG6GhoXBxcUFWVhYcHBwAAA4ODkhPT8fBgwfx9u1b+Pr64saNGwgJCYGbmxtSUlIE0ubl5eHVq1cICwvDhQsX4O/vj6dPn8Ld3R0xMTECaXk8Hnbs2IHo6GicPn0agYGBCAgIwPnz5xEeHo7du3ejoKBAIE9iYiKOHTuGoKAg+Pn54cqVK3j//j1cXV2RmZkpkDYjIwMHDhzAu3fv4OPjg5s3byI4OBhHjx5FUlKSQNr8/Hw4OTkhPDwcXl5euH//Pp48eQIPDw98+/YN27dvB5/Ph4ODA/h8PrZv345v377Bw8MDhBDcv38fXl5eCA8Ph5OTE/Lz8wXKT0pKwtGjRxEcHIybN2/Cx8cH7969w4EDB5CRkSGQNjMzE66urnj//j2uXLkCPz8/BAUF4dixY0hMTBRIW1BQgN27dyM8PBzv37+Hk5MTOBwOLC0tcfPmTezYsQM8Hk8gT0xMDNzd3fH06VP4+/vjwoULCAsLg5OTE/Ly8gTSpqSkwM3NDSEhIbhx4wZ8fX3x9u1bhIaGIj09XSBtVlYWXFxcEBoaCm9vb9y+fRtBQUE4fvw44uPjBdIWFhbC0dEREREROHfuHAICAvD48WN4enoiKioKO3fuBJfLFcgTGxuLkydP4vnz57h79y4uXryIT58+Yd++fcjJyRFIm5qaiiNHjuD169e4fv06rl27htevX+Pw4cNIS0sTSJudnQ1nZ2eEhobi8uXLuHPnDl68eIETJ05Qfnfp0gUODg7gcDjYtWsXvn79ijNnzuDRo0d49OgRzpw5g69fv2LXrl3gcDgC5cfHx+PEiRN48eIF7ty5g8uXLyM0NBTOzs7Izs4WSJuWlobDhw/j9evXuHbtGq5fv47Xr1/jyJEjSE1NFUibk5ODffv24dOnT7h48SLu3r2L58+f4+TJk4iNjRVIy+VysXPnTkRFRcHT0xOPHz9GQEAAzp07h4iICDg6OqKwsFAgj5mZmVTaiCRfX0QdP47cw4exb+VK5HO5eNOhA5KGDsWFCxfwzMkJ6ZcuITckBPHnz+Nz585IGzIE/uPGQWPYMMSdOIG4T5/wvlcvxCUkICAgAPfevwcvIwNvfv0VuZ8+Sa2NyMrKkkkb8eTJkwrbiMDAQLm0EefPn0dAQAACAwNx+vRpmJiYyKyNOHjwoFK2ESW/ZWm3ESVpDx06JPTMTU5OLvcZLQARgyVLlpD8/Hzq++zZs8tNu3v3bnGKpFi4cCHp2bNnhZ+y3L59mwAgT548EVnm8uXLia6ursCx9evXEwDkzZs3IvOYmZkRAMTY2JgEBwcLfOLj46ukqars2bNHpuUrG8qmNzk5mVhaWhI9PT0SEBAgkzqUTbOskaVe90gP8jTlmczKlxS6XWNCFKO5adOmZMOGDXKvlxDmGsuC+Ph4oWeusbExAUDMzMwqzMsipPJFMV69eoU///wTLBYLqqqqSEtLE/kqJi8vDykpKeDJYWlrKysrLF++XGSvyty5c+Hr6yvQLXX//n0MGDAAFy9eFDl7ic1mIy4uDmZmZoiNjZWp72XJz8+X62wYRaOMerOzs/HXX38hMDAQXl5e+PPPP6VavjJqliWy1DsgYDB+qtsaBy1dKk8sR+h2jQHFaG7WrBlsbGyov+LlCXON5YO4z2OxXiF17twZr1+/xrZt2zBjxgy0aNEC06ZNE/lpXGqBJVliYWEBNpst0sZms5GRkQE+n08dK1lJuH79+nLxryo4OTkp2gW5oox669atixs3bmDEiBEYNWoUTpw4IdXylVGzLJGV3lffX0NTRRPXE24gi5MlkzokhW7XGKCfZrrpBZRcsyRdPosXLy7X5u3tLUmRVYLL5ZLhw4cTDocj0h4cHEwAkODgYOrYo0ePiL6+PsnMzBSZp+QVUmVdVgy1Gy6XS+bNm0cAkF27dhE+n69olxhKsfbNBhKfF09a3mhLjn89SQgh5N+Ik6SBTyOy9s0GwuPzSEZRBrF5NpV4Rp0lhBDyMi2I7Pq4h7h+PkR+uduTjHs6ibh9OaZAFQzVQZGvkBjkg7jPY4lW4t2/f3+5tr/++kuiQKoi7OzsYG9vj4KCAhQVFWHDhg1Yt24d1P7bCyQxMRGWlpbw9/cHUDzod+LEiQJ+enl5Yc2aNZVOv1YEiugKVSTKrFdVVRWHDh3C5s2bsWbNGqxatUqgJ09SlFmzLJCF3hxODjiEA1NtU4xtPBpnos8BAGZaTMcA4/6or1EfKiwV6Kvro53+z7AxnwhCCGYGzcXMZrZY2HI+mutawFSrIeY0nyV1/+h2jQH6aaabXkC5NUsUwMibevXqYe/evbCwsMCUKVMwbdo09OjRg7IXFhYiKioKmZmZ1LF///0XOjo6WLx4MdatW4eGDRti7dq1inC/UmbPnq1oF+SKsutlsViws7ODq6sr9u7dC1tbW7Gn9ZWHsmuWNrLQeynWG2PYowAANuYT8S7zPd5kvKW+X4i5BEIIYvJiYa5jDgBILUpDYkEitFS1AAAt67ZEelG61H0D6HeNAfppppteQLk114gAZvHixfj+/Tvi4+Ph5eWFNm3aCNjNzc2RlpaGUaNGUcd0dHRw+PBhuLi4YMeOHdi4caPUV6GUFlevXlW0C3KlpuhduHAhzp49i3PnzuGvv/6q1j5aNUWztJCFXt/4a7gefwMb323G2ehzMNI0gmf0WQDA4IYDkcvNwZPUp7gWfx0jGv0BADDSMESbuj/hcUogACA69xuGmQ6Vum8A/a4xQD/NdNMLKLdmxe/HzgBLS0tFuyBXapLeCRMmoH79+hg1ahQGDhyI69evo169elUupyZplgbS1hvy/RV+NxmABS3mUcea6zbH9tCdsPt5C3TUtDG28Ric+XYezXUtoKuuC6C4N21HBwfcSLiFTE4m/jKzhrWZdDc0LIFu1xign2a66QWUW7NEPTDKvLRwTSQpKUnRLsiVmqZ30KBB8Pf3x6dPn9C7d2/Ex8dXuYyaprm6SFuvR5QnJjYZL3BsDHsUCvgFuBR7GUDxa6QrsT741fAXgXT/fNyFkWbW6GjQAe30f0Y+L1+qvpVAt2sM0E8z3fQCyq1ZogDG1tYWWVnKNYWxJlNUVKRoF+RKTdT7yy+/IDAwEBkZGejRowc+f/5cpfyK0hyZwEFzmxjkFVR/IHJVkKbe41/d4R3rg3tJ9wWOP097ARWoYNenPfBLuINWdVviL/ZI9DD8VSCdtqo2pryYjv4Bg9Ddvxfa3GqPh8mPpOZfCTXxvq4udNNMN72AcmuWKICJi4vDjBkzYGtri7t370rbJ9qhzLt9yoKaqrdNmzZ4+vQptLW18dtvvyE4OFjsvNLS7B+Sj7bTY6E7LBppmaIXjByyJhH1rKNxzj8HjQzVsGmKAXS05DvcTZrXeKbFdHwbEYGxjUcLHB/Y8Hd8GxGBD0NeY4jpIADAYUtXgbFu3/Ji0MOwOz4NfY9462gkWsfgyYCHeJr2TGr+lVBT7+vqQDfNdNMLKLdmiVo1Ly8vXLp0Cbt378bHjx/x559/YuPGjbTcwE0aPHz4UNEuyJWarLdx48YIDAyEhYUF+vbti/v371eeCdLTPKCLNkb1Lt7Q79iNbCF7WAwHTz8Uon0zDUwcoAtNDRamD6krlbqrgrJc48Nf3BCd901g0btHyYEYaPK71OtSFs3yhG6a6aYXUG7NEgUwDRs2BAAYGRlh8eLFOHfuHNLS0vDTTz+hZ8+eOHbsGPOKqQpMnjxZ0S7IlZqu19DQEPfu3UPPnj0xdOhQXLp0qdI80tSsrgpM7F8HbteyweUJ7gTidi0bo3vpQE1VatVJhLJc47nNZyOLk4Xu935D5ztdMe7ZJJjXaQKr+tIfmKgsmuUJ3TTTTS+g3JolCmDCwsIAFL9KWrt2LRo3bgxPT08sWLAAJ0+eRMuWLbFy5Ups2rRJKouA1XYOHDigaBfkSm3Qq6urC19fX4wePRrjxo2Dm5tbhemlrXnWH3WRlMGDT+CPqd05+Xxk5fLBblA8ubCIQ+B0IRNNJ8YAAN5EFGHs1mRs88jAyiPpMPwzGmuPyWZNFGW5xk3rmONEt2MIHfoWrwYF4VKP8+hh9GvlGSVAWTTLE7ppppteQMk1S7LMr5WVFbG2tibq6uqkWbNmxMnJiWRkZAilW7NmDZk7d64kVcgdZisBBkng8Xhk4cKFBACxt7eXy9YDW93TSWRCEZm6I5n0XvJjp/SDPpnkwas8svF4Oum3LJ7weHzy8E0+UR0QSQghhMPlk5EbE8mAFQkkMqGIvPxYQDQGRpKcPJ7MfWZgkBbMVgK1H5luJRAcHIzk5GR4eXnhy5cvWL58OfT19YXSxcbG4ty5c9WLsGiAMi/VLAtqk14VFRW4uLjA3t4emzZtwpIlS0T2OspC898j9fDkfSFehRcva/D4bQH6dvqxa6yKCguNG/x4l6SmyoKBrgp6tddE04bq6NxSAzw+kJYl/V7S2nSNxYXRXPuhm15AuTVLtJDdvHnzcOjQoUrT2djYoHfv3pJUQSsWLVqkaBfkSm3Ty2KxsHHjRjRo0ADz589Hamoq3N3doaGhQaWRheZuP2mi608aOOCTjUkD+OjXWXjL+7KLT5f+rqZa/IVPBMfRSIPado3FgdFc+6GbXkC5NUvUAxMdHY2tW7dWmm7o0KGYM2eOJFXQCg8PD0W7IFdqq965c+fiwoULuHz5MqytrZGbm0vZZKV54Ug9eD3IxaGr2bAZUEcmdUhCbb3GFcForv3QTS+g3JolHsRrbm4u0qbMq/YpK/369VO0C3KlNusdM2YMbt68iSdPnmDAgAFIS0sDIF3NPD7A/W8JmLF96kC/DgtNG6qhjraKkL2kc4X89x8+Hyjb3yKDDphafY3Lg9Fc+6GbXkC5NUsUwPj6+iI9PR05OTkCxzkcDuzt7aXiGJ2g2/o5tV3vgAEDEBAQgK9fv6JXr16IiYmRmuZHbwtw60U+jlzLRnQSFxrqLMwZXhcL/ixe6yXgdT5uB+XhfWQRLjzIxem7xb1AHndyEBpdhBcfC/HwTQG+xnNw+k7x7/eMfy44XOlGMbX9GouC0Vz7oZteQLk1SzQGZsCAAUhOTsbq1atF2pV62pUSoq0tPHahNkMHvZaWlggMDMSgQYPQo0cPbNq0SSrl9u6ghaAjjQSObZn2Y3PJvp20EexmJmDfPNWA+v/HU2zq/xaN1DFlkK5U/CoLHa5xWRjNtR+66QWUW7NEAcysWbOQnp4OKysrqKj86MTh8Xjw9PSUmnN0wdDQUNEuyBW66G3VqhWePHmCwYMHY9WqVejYsSN++eWXyjPWAuhyjUvDaK790E0voNyaJQpg5s+fDx6Ph8aNGwscz83NhZWVlVQcoxOvX79G165dFe2G3KCTXjMzMzx69AjdunXDgAED4O3tjUGDBinaLZlDp2tcAqO59kM3vYBya5ZoDMyOHTuEghcAePHiBZ48eVJtp+jGiBEjFO2CXKGb3vr16+POnTvo27cvhg8fjvPnzyvaJZlDt2sMMJrpAN30AsqtWewAJjo6Go8ePcKjR48QExODx48fU99LPl++fMHGjRtl6W+t5N9//1W0C3KFbnoB4OzZs7hy5QomTJiASZMm1fpxYnS8xozm2g/d9ALKrZlFiHiTKHNycnDw4EFs3rwZXC4X5WWbNWsWjh49KlUn5QGbzUZcXBzMzMwQGxuraHcYail8Ph+rVq3C3r174evrq9R/3TAwKCOXLl1C+/bt0bp1a0W7wiAjxH0ei90Do6urizVr1uDmzZuYPHkyIiMjBT5RUVFISUmpkcGLolHmpZplAd30Aj80q6ioYM+ePfDx8anV48XofI3phCI0jxkzRmHBC3ONlQuxe2BKUxIZieLbt29o0qRJtR2TN4rsgSkoKICWlla5di6XCy8vL4SHh6OwsFCOnskGLpcLNTWJxo/XWOimmW56AfloVlNTQ9OmTTF+/Hjo6spmCnxpwsPDcevWLSQkJIi00+06i9Krrq4OCwsLTJgwocJ2vKZS2fNJFoj7PJbozjMzM0NycjK+fv2KoqIi6jiPx8Px48eZqdRVxNXVFatWrRJp43K5mDp1Ks6dO4eGDRuiTh3lWS5eUng8HlRVVStPWIugm2a66QXko7mwsBBxcXFwd3fHrVu3ZBrEvH37Fv3790dOTg4aNWoksGRGCXS7zqL0FhQUIC4uDl5eXrhy5UqtC2Iqej4pHEm2unZwcCBqampERUWFsFgsgY+KiookRSoccbfvlgWfP38u17Zp0yaiqqpKLl26JEePGBgYlJVnz56RunXrkgkTJsisjoKCAmJoaEi6dOlC0tLSZFZPbeHevXtES0uLzJs3T9GuSJ2Knk+yQtznsUQ9MDt37sT69esxfvx4gR4BQkitn10hC4KDg9GyZUuRtpcvX2L48OEYPXq0nL1iYGBQRrp37465c+fi8uXLMqsjMjISaWlpuHTpEurXry+zemoLAwYMwOTJk/HixQtFuyJ1Kno+KRqJAhhLS0vMmzcPpqamQrbly5dX2ym60bBhw3JtWVlZ5Y43YmBgoCeGhobIysqSWfklZSvzKqzKhqyviaKo6PmkaCRayO7kyZM4e/asSNu1a9eq5RAdUeQguPz8fOzevVtqKy0GBQVh2LBhOHXqlFTKqwwOhwMXFxeBgeNPnjxBp06dJCpvwYIFcHR0FDt9YmIitm3bhr59+2L69Ong8/kS1assSPt+KE1kZCSaNm2KvLw8qZetTNy7dw89evRAQECAol1hYKg2yjxIW6IA5q+//sLOnTvRtGlTWFhYUJ+mTZti0aJF0vaRYtmyZWCxWNSnohVNw8PDMWfOHDg4OGD16tWwt7dX2odLZGSk2Gl9fX3BZrNhZmYGHx8f6nhUVBSWLVuGNm3a4P79+2KXx+PxoKmpiZSUlKq4XC4mJib4/PlzuesESRtVVVW0a9cOMTEx1LE2bdpg/fr1EpU3adIkDBs2TOz0M2fOxJw5c3Dp0iW8ePEC6enpEtWrLEj7fihNo0aNsGXLFujo6Ei9bGWiSZMmePv2raLdkCpbt25F+/btYWNjgx49eqBOnTqYPHky/vjjD+jo6CAqKkohfnG5XFy4cAH16tXDL7/8gqVLl2Lp0qWYN28e6tevj4yMDLx8+RIDBgxA3bp1KfusWbOgr6+P//3vfzh37hz09PTQokULTJs2Db/88gs2bdok9Ly4ffs2PDw8FKJTkVTl+SRvJAqt+vTpg9TUVLRo0UJgZHpRURGuX78uNedK8/37d0RERGDfvn0AitfTGDNmjMi0HA4Hf/75J+7evUu9fpk7dy7279+PZcuWycS/6tC7d2+x01pbW8PLyws8Hg8jR46kjjdt2hR///036tSpg/79+4tdnq6uLtq1a1cVdyukSZMmaNSoUeUJq8jbt2/x/ft39OnTR+C4iooKmjVrJnCsfv36GDdunET1/PbbbwLfXV1dyw3K8/Pzcfv2bRgbG0NFRQUfP36UqE5lQtr3Q2k0NTVha2tLfS8sLMSpU6cwZ84cqdVx7do1tG/fHk2bNpVamVWlVatWtW7ciJmZGYKCgqClpQV3d3ds3LiRmm3q5eUl8/rLu1fU1NQwbtw4uLi4oG/fvgJrlvz+++8AgG7dumHSpEkICwuDs7MzZZ88eTLU1NQwceJEHDx4kMofFxeHn376CRoaGgK7yLu5uSE1NRVTp06VrVgloyrPJ3kjUQCzcOFC6OrqihwDU/qhKk0OHToEBwcHdOjQodK079+/R0xMjMC7u86dO+PGjRtKGcCcPXsW69atEzu9uro6WCyW0HE1NTWJuvtETY+sDtIuLzMzE1OnThVofEoj6lxIg7dv32Ljxo3lBjCpqang8XhS16to5KGHz+djwYIFIvdUk5TY2FgsWLAAjx8/llqZklLb7om//vqr3OnB1tbWMu3dFudeEdXuWVtbU8dFTfXu27cvtQxI6fxmZmbo378/Ll68SAUwCQkJSE1NxePHj/H582e0atWqWppqElV9PskTiX5lLVu2FApeTp8+jUePHslkddGCggK4uLhg4sSJ2Lp1a6UDpQwNDZGTkwNXV1fq2JMnT9C3b1+p+yYNVq9eLfUyfXx80LVrV3h7e2PEiBEwMDDAlStXKHtISAhmzZqFbdu24Z9//hHIe+vWLWzbtg2DBw/GwoULwefzcenSJXTr1g0nTpyAhYUFNm7ciLi4OGzZsgVbt25F/fr18enTJ6qMgoICTJ06FXXr1sWRI0eo4x8/fsTixYuxbt069OvXD//73/8qtV24cAGRkZE4evRopWNrsrKysHnzZuo+vHv3Lvr3749jx45hwYIFMDQ0xMqVKxEeHo7evXujfv36VK9hSEgIRo0aBXt7exQWFsLd3R1ZWVlYu3at0EPx/fv31Hlbu3Yt9TrPx8cHq1evxoIFC/DXX38hJSUFhYWF2LNnD5o0aYJr166hfv368PPzEyjv8OHDaN26NQIDA/HHH3+gXr16uHTpEq5fv47WrVujRYsWVDd9fHw8bG1t4ejoiF69elGvDF1cXKChoQFra2sUFBTAysoK27Ztq/B8lVDV+6Gi+4vH42Hbtm3Ys2cPfv75Zxw5cgRFRUXYs2cP9RB68OABXr58iXv37mHLli1wc3MDi8XC3LlzweFwwOVyYWNjgxUrVgj5Wp7+s2fPIjY2Frt27cLVq1exa9cuNG7cGO/fv0evXr1gYmKCwMBA/PvvvzA3N4elpSUyMjIAFM+gdHR0xJYtWzB69GisXLmSeii/f/8e9vb2WLNmDbS1tVFQUAA3Nzf8/PPPuHv3Ljp06AATExOcOHFCwM+0tDQMHz4cBgYGAmMDxf19EULg6uoKOzs7dO/eXah8eWJkZFSuTVtbG1FRUZg5cyb++ecf9OzZE+/evSv3vg8LC8O6detw6NAhtG3bFv3796f20Pv8+TM2btwIW1tbDBkyBMnJyUL3ijjExsbi0aNH5QaSFy5cQEZGBjQ0NMoto27dutT/T5w4gcOHD6NNmzZKvTeQLJDF80lqiDMnu3PnzmTWrFnk9u3b5abh8Xhk48aNxMTERPzJ3mISHBxMxo0bR1q2bEkAEHNz80rnptva2hIWi0V27txJ/v33X2Jra0t4PF656UvmnRsbG5Pg4GCBT3x8vLQlCWBvb1+u7ddffyUzZswQODZt2jRiY2MjlDYyMpJs2bKFEEJIYWEhqVevHlm0aBHJzs4mjo6OpHv37oQQQvLy8shPP/1Ere+we/duYm5uTgghJCIiglrLIC8vj5iYmBAPDw+SlpZG9PX1ydKlS0lgYCB5+PAhWblyJXnx4gUhhBAPDw/y8eNHQgghffr0ITY2NiQjI4OcO3eONG7cmBBCSH5+Pmnbti3JyMgghBBy4cIFYmxsTLKzsyu0EUKIubk5efDggchzFBkZSUpuZQ6HQzw9PSk9JVpnzZpFvn//Tp4/f05UVFTIsWPHCJfLJU5OTuSXX34hhBSvfTFo0CDqHJYut7J6CSHk3bt3pHfv3tT3BQsWkGHDhhEej0cePHhAABBvb29y7tw5EhUVJbIsNzc3wuFwyM6dO0nTpk3JnTt3CCGEjBgxgqxZs4YQQsiKFSuInZ0dIYQQR0dHMnz4cKqcLVu2kJYtW5Jv376RdevWlet7aSS5Hyq6v65fv0527dpF6Tp69Cjh8Xjk4cOHAudr2rRp1LkmhJC//vqLrFy5kvr+999/k4KCAiF/K9IPgERGRgrUd/PmTcLn88m8efNI586dyYsXLwiXyyWdOnUihw8fJoQQcvjwYbJ+/XpCSHFb1r59e+Lo6EgIIWTMmDEkKSmJEELItm3bSH5+PklISCAAyPbt20lmZibZvHkzUVdXJxEREYSQ4vt15cqVJD8/n+zYsYP06tWrwvMp6vd1+vRp4uHhQQgpbgPV1NTI169fCSGE7NixgxgaGop1fSXhxYsXBAB5+/atkO3kyZNC63OMHj2anDp1ihBSfN8vXLiw3Pv+119/JUFBQYSQ4mvcv39/Qkjxb9fa2ppwOBxCSPE9X9L2lb1XytKnTx/So0cPsmbNGrJixQrSokULcvfuXQGf69SpQ+bOnUumT59O9PT0yPfv3wXyb9iwgRBCyJcvX4iOjg5xc3MjhBTfDyXt7d69e4mxsTEpKioS8mHNmjWkefPm5Z/UGkpFzydpEB8fL/TMNTY2FmsdGLF6YFRVVXHkyBEMGjQIALBt2zY0b94cY8eOpf4qUFFRgb29PczNzaUZXwEAunTpAi8vL3z+/BlXrlxBRkYGxo4dW+FA0SNHjmD06NFYu3Ytjh07hmPHjonVrZucnAxLS0uBj42NDeLj43H8+HEEBQXh9u3b8Pb2RmhoKFxcXJCVlUW9e3VwcEB6ejoOHjyIt2/fwtfXFzdu3EBISAjc3NyQkpIikDYvLw/a2toICwvDhQsX4O/vj6dPn8Ld3R0xMTGIj48X8rGiVyYlNg0NDdStWxejRo2Crq4uOnfujKSkJACAp6cnmjRpQr2nL91rdv78eaSnp8PZ2Rlubm7o06cPcnNzUb9+fejr68Pa2ho9e/ZE7969oauri1mzZiEwMBBjxowRmO79+++/Q19fH1ZWVtQy5Ddu3IC2tjb09fUBAKNGjUJRURGuXr1aoa0qqKmpCYzB0dbWhrGxMXr27AkDAwNYWVmBz+fj999/h6qqKjp16oTk5GQAxWM0qjNl0M3NTWD2zsyZM3Hz5k0kJCRQv4uRI0diwoQJQr+Tku+DBg2CmpoarKysQAjBwIEDAUDAzzlz5mDmzJlISEhAaGgocnJyqHJKunonTJiADRs2iOW3JPdDRfeXrq4udu3aBQ8PDzRu3Bh//vknVFRUKn1dtGLFCpw8eRL5+fnIysqCtrY2NDU1hdJVpL+E0vUNHToULBYLVlZW0NPTQ7du3aCqqor27dtT5/TgwYP49ddfqbzTp0+n9nXT1dXF2LFj8e7dO8yfPx8aGhrUfTJp0iTo6elh/fr1qFOnDu7cuUP58Mcff0BLS0vgN1CV35eHhwc+ffoEZ2dnPHjwAAMGDBBY0p/D4SAmJkagPeHxeNixYweio6Nx+vRpBAYGIiAgAOfPn0d4eDh2796NgoICgTyJiYk4duwYgoKC4OfnhytXriAiIqLCa1WWDRs2wNraGhEREYiKikJOTg5UVFRE3vevX7+GtrY2gOIB96mpqQCK17yKjY3FgQMH4OzsDDMzM5HXvzz69euHnTt3Ys+ePTh37pyQ3cDAAEeOHMHJkycFeudL+N///gdHR0fs3LkTx44do8bb3LlzB4MHDwYATJ06FRkZGfD19RXpQ2FhIfz9/XHhwgWEhYXByckJeXl5Auc7JSUFbm5uCAkJwY0bN+Dr64u3b9/i4MGDSE9PF0iblZUFFxcXhIaGwtvbG7dv30ZQUBCOHz+O+Ph4gbSFhYVwdHREREQEzp07h4CAADx+/Bienp6IiorCzp07wf1/e+ceFVW1x/EvyIBKvhEkX4QpqRWKlfemSIpCGpZmuszra/kAxBeoXc28imgRZoqaKAqI+ZbycTV1+YprelV8QKCmpIiJAQYiivKc+d4/aM7lwIBgwMxw9mctFjN777PP77vPmTm/2fu39y4qkh2TkpKCTZs24dy5czh27BiioqJw/fp1rFy5Ejk5OVi6dCkWLFiApUuXIiMjA+vXr0dcXBwOHjyIAwcOIC4uDuvWrUNmZqas3sePHyM4OBjXrl3D999/j6NHj+L8+fOIiIgoY3dISEiZZ672c/ksKhUw0aVLF9kY4sKFC3Ho0CHs2LGjzNhjVTfZmj59OmJjYyssc/r0aen1kCFDsHv3bri7u+Ps2bN4++23dR7z9OlTqFQqTJgwARERERg6dCj27NnzzBgRa2trHD58WJZma2sLW1tbTJw4sUz5Ll26AIDUBar9P3XqVACQxew4OTnpLJubmwsHBwdZ22l16QqIValUOofRnjx5IpvhUdLRMTMzk7rE4+Pjy12C/O7du+jWrRt8fX0BQPqvra9knXPnzkV6ejpcXFwwePBgbNmypUx9ZmZmKCoqAlA8M6ywsFDKq1evHtq3b4+UlBSQLDevqpR28Eq+Lz0WbmpqKhu//yvxNL/++qvsGtrb2wMo7s62sbGpsP7S6RXZ2aZNGwQFBaFjx47429/+JpslYGFhAU9PT3z++efIycmp1NYTf+V+0FLy/nJxcUFAQACmT5+OZcuWISoqCtbW1s9s2169esHe3h6bN2+GmZkZhg8frrNcRfpLUpU2LX1v2tvbS/feihUr4OnpCUdHR0yaNAlr164t82PIwsICHTp0kIakSlLyM1CVz9fdu3exePFiybEqPZymUqnQtm3bMt8nWid2zJgxZWzRLglf+pjJkyfLysXExJQ5tiLatm2LoKAg9OzZE05OTtKsQK2ekrr69euHEydOoGvXrkhKSsKHH34o6bWyspK1yfPi5OSEO3fulJs/cODAMrPh3njjDZ3DJVu2bEGTJk1w6dIlAMUTFcLCwnQuLmphYQFXV1fpvfb7oHR7e3l5lTlW+6woXXbGjBkA/v+sASD9UCpdVmt/hw4dpLLOzs4Aioe6dR1TMrBeyyuvvCKV0ToxAODt7Q0AsmUqtK9L16u9jiXt7tmzZ5myqampGDp0qOz8AwcOrJQTU+kemNJ07txZpzNQ1SDSNWvW4PTp0xX+lcbNzQ09evQod+oeSXz44YcYNWoUwsPDERgYiAMHDmDx4sXPtEelUsHJyUn2pytYuToZN25clcq3bt0a9+7dK5N+69atMjNydNG4ceNyZ8zY2tpiz549srTyvszS0tIQEhKCixcvIiEhAV999VWF523Xrh1u374t2z+LJBwcHCrMMxbatWsniwMiiXr16sm+TKoDb29v2NnZYfTo0WV+oWZkZCAnJwfu7u6YM2dOpeqrrvtBS3JyMqZOnYrExES0bdtW55d1efj6+iI4OBgxMTF46623dJapSP/zouvaae+97OxsREVF4fjx49i7d69ORx0onoVZXnCntre4Ku1pa2srW203Ly/PYKdnf/jhh3Bzc8OQIUOeuTfSypUrERcXh61bt6Jr165SoKytrS1Onz4t9eQBVXektGhnJ165ckVnfsuWLSuMf9Hy+++/w8bGBiEhIQgODkZwcDBWr16No0ePypZuqMtU9flUVWxtbcs8c1UqVaWOfe5Q+Zqa+VFZ7O3t0aZNG515p06dwsWLF6X1PObNm4cpU6YYbPDViRMnqlT+H//4BxISEmSBpQ8ePEBYWJjU1QkUR++XHGbTvh42bBiuX7+OyMhIAMXz/B8+fIjc3FyMGDECsbGxGDVqFE6ePImAgADp1yNQHKCpZcOGDXj8+DG6d+8OX19fqX5dQ3skMWTIEFhaWiIqKgoA8PDhQxQWFmLgwIEV5gHFQ2JZWVm4ceOGzrpL/y+tu6LhxvLKar/gyjuvtl20v9w9PT0RHR0tOdYxMTEYPny4LACyZPtVpKGiMrGxsfjjjz/w9OlTnDlzBrm5uVIvRFBQEObMmYMVK1Zg3759UoArScyfP1/nrsLPez+Ud3/95z//wcWLF2FjY4Nly5bpvD7A/6/p7du3pTYcPnw4cnJyKly6vCL9KpVKul5VaVNvb29s2bJF0hYTE4MpU6YAAIKDg1FUVIR+/fph7Nixsvq07ZmWlob8/Hy89957Os+pfV+Vz9fHH3+M4OBgBAQEIDo6Gn5+fnqdHq5FrVbLbAb+f02ysrJw6dIl2TXRHqNl5syZGD16NLp3745evXrhyZMnAIq3SLCxscGgQYPwww8/YOvWrbhw4QIA3fdKSUrfi0Dxfay9/4uKisr97FWUv379eowfP16W5u7ujlatWmHdunXl1leXqOrzqVapTJBN7969GRERwfDwcOlPV9r69etrJYipqKiIHh4eUrBXafbv38/mzZvL0uLj42ltbV1unfrczPHMmTPl5ukK4iXJY8eOsU+fPhwxYgRHjx7NkSNHSkG0JHn48GGamZlx6tSpTE5Opq+vL83NzXn48GGSZHh4OF988UX27duX8+bNo5OTE3fv3k2S3LVrF+3s7Ghtbc1vvvmGJPndd9/R3NycI0eOZGpqKsniwLpu3boxKCiIM2fOZFZWFk+dOkUrKysOHz6cycnJ/PLLLwmAkZGRJMkLFy6wV69enD17NqdNm8arV69KNleU5+/vzzZt2vDAgQOydlCr1fT39ycAhoSE8NGjR/Tx8aG5uTmPHDnCc+fOsUWLFhw+fDjv3bvH0NBQAuCSJUuYkpJCT09Pmpub8+DBg7x27Ro7derEPn36MDk5mRqNhgMGDKCjoyNv3rwpO29GRgZnzJhBAFy2bBnv3r1LkoyMjKSzszM/++wz+vn5MTs7m/n5+Zw/f74U9KkrADAsLEyy6969e/Tx8aGFhQX379/PGzdusFevXnRwcGB8fDw3bNjAxo0b8/3332dUVBSbN2/OAwcOcOHChXznnXf49OlTpqWl8ZVXXmHbtm156tQpPn36lHZ2djx79qzO+6yq90NF99emTZtobW3NRYsWcc6cObx8+TILCwu5ePFiAuCmTZukOlq0aMGlS5fKbJk+fbp0j+miPP0kOWHCBL788ss8d+6cdF9s2LCB9+7d47Bhw2htbc1Tp07x4sWLdHBwYO/evXnr1i2q1Wr6+fnxvffe44IFCxgYGEiNRkOyOMDTxcWFX331FWfPns38/HySxQHDPj4+DA4Opre3N+Pi4kiS+/bto7m5OadNmyZrG21AdmU/X2q1mp9++imtrKzo4ODAU6dOSW2gryDeixcv0s3NjSYmJty4cSOzs7NJkgsXLmTjxo05btw4hoaG8sUXX+T58+d13vcTJkyglZUVVSoVAdDMzEwKAI6Pj+ebb77JJk2acNKkSVJbl3evaIP2GzduzI4dO3L27NmcPXs2p0yZQisrKyYkJPDChQscMGAATUxMuGrVKlnwbmFhIbdt28ZGjRrR0dGRJ0+elPKioqJoaWnJlStXyj6zp0+fZqtWrdiwYUNGRERI6XU1iLei51NNUdnncaUcmNI7Tlf0VxO7Ufv7+0vR//n5+Zw7d66sUVNTU+nk5MTjx4+TJB89ekRbW1vZB37nzp2yGQ6l0acDo7VbF+U5MAJBXUStVnPatGn6NqNS4M8ZT/pAn7OQ/gpZWVmy72GNRsP79+9z1qxZ1XoefVBXHZiKnk81RbXuRj127FjMmzdPihwvj7y8vErPfKgKzZo1w6JFi7Bu3To4OzvD398fnTt3lvLz8/ORnJyM7OxsAMXz9w8fPox//etfOHr0KJo1a4b8/Hx8/vnn1W5bdZCZmVlhPmtpWX6BQF/cvHkThw4dQnp6Ojw8PPRtzjNhJYanauP8xnae8PBwXLt2Denp6bCxsYGJiQnOnj1rsGt0VYW6+j39rOeTPqmUA+Pl5SVFJT+LmtiNesaMGVIkti7at29fppEdHR3LnepmaDg6Opab17x5c51xCwJBXeLy5ctYsGABPvnkE1kclyFSWFiItWvXAgAiIyMxZ84c2aJntUFqamqN7hStnVKfmppaqdXPK8vYsWNx9epVdOvWDaamprC3t4efn580E8mYqelroi8qej7pnRrvCzIS9DmEtHz58grzADA4OFgaDxYIBMqksLCQ33//PVUqFb28vGrsPAUFBbSzs6O9vT1v3LghxQMJylJQUMDNmzfT1NRUWmyyLlHR86mmqOzz2ISso/1eVaRNmza4d+8eWrdu/Vxrj/wVnj59Wu4OvSSlWSUmJiaVnl4mEAjqHkVFRdBoNBg6dCh27dpVo98Hd+7cwTvvvIPk5GSYmZnVuf2dqgvtNRk3bhzCw8OfOY3c2Kjo+VRTVPZ5/FybOQqqlxUrVkgL+5TGxMQEy5cvxwcffIDExETk5+fXsnXVz5EjR/Duu+/q24xaRWmalaYXqB3NZmZmeOmll9C3b98a/zHTvn17nD9/HmfOnNG5IjigvOusS69KpYK9vT369u1b55wXoOLnk74RPTB/os8eGIFAIBAIBMVU9nks+gQNAO2+EEpBaXoB5WlWml5AaFYCStMLGLZm0QPzJ/rsgfnjjz/QsmXLWj2nPlGaXkB5mpWmFxCalYDS9AL60Sx6YIyI0nuj1HWUphdQnmal6QWEZiWgNL2AYWsWDowBoN1ZVCkoTS+gPM1K0wsIzUpAaXoBw9YsHBgDQGkL1SlNL6A8zUrTCwjNSkBpegHD1iwcGAOgol1S6yJK0wsoT7PS9AJCsxJQml7AsDULB8YAsLOz07cJtYrS9ALK06w0vYDQrASUphcwbM3CgTEAfvrpJ32bUKsoTS+gPM1K0wsIzUpAaXoBw9YsplH/iT6nUT948EDaPE0JKE0voDzNStMLCM1KQGl6Af1oFtOojYiQkBB9m1CrKE0voDzNStMLCM1KQGl6AcPWLHpg/kRsJSAQCAQCgf4RPTBGhCEv1VwTKE0voDzNStMLCM1KQGl6AcPWLHpg/kSfPTCPHj1C48aNa/Wc+kRpegHlaVaaXkBoVgJK0wvoR7PogTEiIiMj9W1CraI0vYDyNCtNLyA0KwGl6QUMW7NwYAyA/v3769uEWkVpegHlaVaaXkBoVgJK0wsYtmbhwBgA169f17cJtYrS9ALK06w0vYDQrASUphcwbM3CgTEALC0t9W1CraI0vYDyNCtNLyA0KwGl6QUMW7NwYAwApS2MpDS9gPI0K00vIDQrAaXpBQxbs3BgDID4+Hh9m1CrKE0voDzNStMLCM1KQGl6AcPWLBwYA2DgwIH6NqFWUZpeQHmalaYXEJqVgNL0AoatWTgwBkBERIS+TahVlKYXUJ5mpekFhGYloDS9gGFrNrqF7FJSUrBmzRpYWVnBwcEB77//frll16xZgwsXLsDU1BS9e/fGpEmTyi0rthIQCAQCgUD/1MmF7KKjozFs2DB4eXnhk08+qdB52bBhA3bu3Ilvv/0WERERCAkJwf79+2vR2spjyEs11wRK0wsoT7PS9AJCsxJQml7AsDUbTQ9MXFwc3N3dcfLkSXTt2rXCsrm5uWjXrh0CAwOlXpcvv/wSYWFh+PXXX2FiYlLmGH32wOTn58PCwqJWz6lPlKYXUJ5mpekFhGYloDS9gH4016keGLVajTFjxsDX1/eZzgtQ3FOTkZEBJycnKa1Hjx64desWLl26VJOmPherVq3Stwm1itL0AsrTrDS9gNCsBJSmFzBszUbRA/Pdd99hxIgR+Oabb3DmzBnExcXho48+wqJFi2BqWtYHW7x4Mfz9/ZGcnIz27dsDAH7++Wd069YNGzZswOTJk8scY25ujsLCQpiamsLKykqWV69ePZ3nqS6KiopgZmZWY/UbGkrTCyhPs9L0AkKzElCaXqDmNWs0GqjVallaRkYGNBoNVCoVCgoKyj3WKK7E3r170apVK/Ts2RM+Pj7Yt28fhg4divr16+PTTz8tU/7+/fsA5AvwNGrUCEBxw+hC24AajUY6XiAQCAQCgX4o7diURu8OzPTp0xEbG1thmdzcXPTo0QM9evQAAAwZMgRvv/02li9frtOB0ca4NGjQQErTNoRKpdJ5jvr16yMvLw+mpqZlVh6s6R4YgUAgEAiUiK4emAcPHkCj0aB+/foVHqt3B2bNmjXPLOPg4IAXXnhBlubq6or//ve/yMjIKDPkY2trCwDIzs5GixYtAAA5OTkAgJYtW+o8x5MnT6psu0AgEAgEAv1gFN0Kbdq0wYMHD2RpNjY2qFevHpo0aVKmvKOjIwDIhoLS0tIAAG+99VYNWioQCAQCgaA2MAoHxsPDAxcvXkRhYaGU9uDBAzg7O+scEnJ3d0fLli1x7tw5KS0+Ph5dunRB586da8VmgUAgEAgENYdRODCenp5o3rw5tm7dCqA4nmXfvn0ICAgAUDxP3dnZGVu2bAFQHOcyf/587N27F0BxFPXOnTsRFBSkHwECgUAgEAiqFb3HwFQGS0tLHDt2DLNmzcLt27eRkZGBBQsWwNnZGUCxg5KcnIzMzEzpGF9fX2RnZ8PLywv5+fmYO3cuPDw89CVBIBAIBAJBNWIU68AIBILKsWvXLpiYmGDEiBH6NuW5OH78ONauXYsWLVogLCys2urNy8tDhw4dsHr1agwbNuwv11dTduoiJSUFr7/+Oo4cOSJi+ASCEhjFEJJAIKgcoaGhz3ygJiQk1JI1Vaddu3a4fPkyioqKqrVeCwsLvPvuu7C3t6+W+mrKTl00bdoUAwcOlGZXajHk6ygQ1AbCgREI6giJiYmIjY3FiRMncOfOHZ1lsrOzDXpztk6dOkmrZ1cnJiYmCA8PR/fu3aulvpqyUxcvvPACtm3bhrZt20pp586dw549e2rl/AKBoSIcGIGgjrBx40bs2LFDeliXJi8vD6NGjUJ6eroerKs8xrJopL7svHv3LkaOHAkx+i9QOsbxTSEQCCqkoKAASUlJePfdd+Hh4YFNmzZBo9HIynz77be4efMmEhMT4e3tjR9++AH79++Hm5sbAgICsGfPHnTs2BHW1tbYu3cv0tLS8N5776Fhw4b46KOPZMMlKSkp8Pb2xpw5c9CnTx988sknsj1LQkND8c9//hOTJ0+GhYUFDh48iKysLKxYsQIvv/wy4uPj8cEHH6BRo0bw8PDQuX3HkSNHYG9vDxsbGxw9elSWFxoailmzZsHZ2Rmurq64fv06CgoKsG3bNrz99tsICwvDqFGjYGVlhRs3bmD79u34+9//js2bN0t1PHnyBL6+vpg5cybc3NwwZcqUCvddiY2NxYgRI+Dn54fhw4fj3r17svzMzEx8+umnmDhxIl577TXMmjULhYWFSElJwWeffQYbGxtkZGTggw8+gKWlJby8vKRjc3Jy4OPjg4ULF8LFxUVanPPp06cIDQ3Fq6++iujoaKjVaqxduxaZmZk4ePAgvL29cePGDTg6OsLExASzZs1Cfn4+gOJNbS0tLbFr165yNQkERg0FAoHRs337du7cuZMkefjwYQLgDz/8UKbcuHHj6OLiQpIsKipiTEwMzc3NOWjQIP773//m/fv32a9fP7Zu3ZpffPEFb9++zRMnThAAd+/eTZLMycnhyy+/zISEBJLk48ePaWdnR09PT5Lk3bt3+cYbb0jnDA4O5oEDB5iens6goCACoI+PD8+cOcPw8HCamZlx2LBhUnkXFxc6Ojpyy5YtTElJoaurK7t37y7lR0ZGct++fSRJtVpNNzc3duzYkY8ePZK0u7m58ciRIxwzZgx///13Hjt2jAC4adMmqR43Nzdu3ryZJJmUlEQA/Prrr3W2b3JyMm1tbXnnzh3pvUql4rhx46QyY8eO5aNHj0iSt2/fppmZGZcsWcLU1FTOnTuXAPj5558zKSmJGzZsIADGxMSQJL/44guuWrVK0uTu7k6SzMrK4ubNmwmAP/74o3Su9u3bc9GiRdL7K1eu0NTUlN99952UlpaWxpEjR+rUIxDUBYQDIxDUAUaOHMmCggKSpEaj4UsvvcQhQ4aUKVfSgdHSunVr2cMwJCSEpX/btGrVikuXLiVJrl69mp06dZLlr1ixgqampkxKSuKlS5doZmbG7du3kyQfPnzI2NhYkuTJkycJgNeuXZOOHT16NAEwMzOTZLEDM2bMGCl/7dq1bNCggfTe3t6eS5YsYWBgIAMDAzlx4kS6uroyPT2darWaABgcHCyzr6ioSObAREdH09zcnEVFRVKZsLAwmV0lGT9+vMzJIsmePXtKDsypU6f4+uuvSzYFBgZy0KBBnDNnDkkyPDycAKhWq0kWO4EAuG3bNpLk9OnT+eqrr/LWrVskKXNWbt68+UwHhiQHDx7MAQMGSO9XrlzJI0eO6NQjENQFjGIdGIFAUD43btzAL7/8gsmTJ0tpTZs2xcGDB5Geng4bG5sKjzczk38NlNwEVYuFhYW0EvaPP/5YZguPHj16QKPR4NKlSxg2bBgGDx6MUaNGYfXq1QgMDMQ777wDQPdGq/369cPWrVtx69YtaSPVkvElDRo0QF5eHoDiIZWkpCRMmjQJrVq1KldTafvq1asnex8TE4OmTZvK0idOnFhufYcOHcKYMWNkaSU3mktISICtrS3mzZsnpZV8rdWj/W9paQkA0pDVlClTEBUVhc6dO2PChAlYvHhxubaXx8yZM9G/f39cvXoVXbt2xYkTJzBjxoxKHSsQGCMiBkYgMHI2btyI77//HpGRkdLfvn37oFarERkZWe3nI1kmEFjrTKhUKpiYmGDPnj3YsWMH0tLS0Ldv3wqndltbWwModpJ0YWJiIgWsauM7Ll26JCvz5MkT5ObmVlqDhYUF/vjjDzx8+FCW/vjxY53lc3JykJWVVW59+fn5iI+Pl213AgAZGRmVsqdz58745ZdfMHXqVERERMDR0REpKSmVOlaLq6srXn31VQQHByM+Ph6vvfaa0QRECwTPg7i7BQIjJi8vDzdv3kSHDh1k6e3atUOfPn0QHh4um62i7QH5K7z11lv47bffkJSUJKVlZmZCpVLB2dkZV69eRWJiIkaOHImrV6/C1dUVq1evltWhVqul12lpaWjWrBm6dOnyzHM3a9YMtra2WLJkicxZCAsLq5K2rl27giRCQ0OltIKCAuzYsUNneQcHB0RHR5dZ90UbKN21a1ekpqZi/fr1svq025s8iz179qBp06ZYsWIFzp07h0ePHmH37t3lli9P68yZM7F161Z8/fXXGDduXKXOLRAYK8KBEQiMmM2bN6N379468zw8PPDrr7/i8OHDUpqlpSXu3LmDrKwsaWaPWq2WORTah3LJWUwkpTJTpkxBy5YtsWzZMik/KioKfn5+aN68OR4/fizlNWzYEB4eHujUqZPMtpKLsG3fvh3z5s2ThrLUanWZGVTadKB4aOb8+fPo06cPQkJC4Ofnh4cPH6J+/frScdqemtLHav/369cPb775JhYuXAh/f39s2bIFQ4YMkYa6SuPn54ekpCT4+vriyZMnuHbtGm7duoXExETcvHkT/fv3R48ePeDn5wcfHx+sW7cOgwcPhru7OwBIzlZpXVp7jh8/jp9++gkA0L17d3Ts2FFqs9K2A8XXMTExEb/99htiY2Ol9NGjR+OFF15AYmIiHBwcdGoRCOoMeo3AEQgEz82OHTvYvHlz9urVi6dPn5blXblyhf369SMAtm3bVpqhdPnyZb744ovs2bMn09LSuHbtWpqamrJbt248ffo04+Li2LdvXwLg0qVLef/+fa5cuZL16tXj66+/zvPnz5MkExIS6OLiwkGDBtHLy4tLliyRAlTPnj1LAHR1deVnn33G8ePHMzU1lWRxcCoAjh8/nosWLeKYMWPo7+9PjUZDkvz222/ZqFEjtm/fnocOHWJ8fDzd3d2lGTy5ubnUaDQMCAigtbU1raysOHv2bBYWFjI7O5uLFi0iAHbr1k0Kes3NzWVAQAABsH///vzll19IFs+WGjhwIOvXry8rXx6BgYFs2bIlraysOH/+fPbv359jx47l5cuXpfo8PDzYoEEDdu7cWQqgvXr1qqxNU1JS+OWXX0r2XLlyhV5eXmzYsCE9PT3p5+fHL774giSZkZHBadOmEQA//vhj/vbbbyTJjRs3smnTphw/frwsEJkk582bx/Xr11ftZhIIjBCxF5JAIKg1oqOj0bdvX9y+fRt2dnb6NqdO4u3tjaCgoDKBzAJBXUMMIQkEAkEdISsrCxqNRjgvAkUgplELBIJaQxsEW3q2juCvMXv2bJBEYmIiAgMD9W2OQFAriB4YgUBQK/z8888ICQkBACxfvrzK04QF5XPhwgXs2rULEyZMwGuvvaZvcwSCWkHEwAgEAoFAIDA6RA+MQCAQCAQCo0M4MAKBQCAQCIwO4cAIBAKBQCAwOoQDIxAIBAKBwOgQDoxAIBAIBAKjQzgwAoFAIBAIjA7hwAgEAoFAIDA6hAMjEAgEAoHA6PgfG5i9ev5toY0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 625x325 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Polygon\n",
    "\n",
    "fig = plt.figure()\n",
    "fig.set_size_inches([6.25,3.25])\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "ax = plt.gca()\n",
    "\n",
    "\n",
    "x1 = [1.0, 1.0, 2.0, 2.0]\n",
    "y1 = [-5.5815, -5.1706 , -5.1706, -5.5815]\n",
    "\n",
    "x2 = [2.0, 2.0, 3.0, 3.0]\n",
    "y2 = [-5.5295  , -5.1087 , -5.1087 ,  -5.5295 ]\n",
    "\n",
    "x3 = [3.0, 3.0, 4.0, 4.0]\n",
    "y3 = [-5.4834 , -5.0570 , -5.0570 , -5.4834 ]\n",
    "\n",
    "\n",
    "\n",
    "poly1 = Polygon( list(zip(x1,y1)), facecolor='xkcd:blue', edgecolor='k')\n",
    "ax.add_patch(poly1)\n",
    "\n",
    "poly2 = Polygon( list(zip(x2,y2)), facecolor='xkcd:green', edgecolor='k')\n",
    "ax.add_patch(poly2)\n",
    "\n",
    "poly3 = Polygon( list(zip(x3,y3)), facecolor='xkcd:red', edgecolor='k')\n",
    "ax.add_patch(poly3)\n",
    "\n",
    "\n",
    "plt.ylabel(\"Entry flight-path angle, deg\",fontsize=12)\n",
    "plt.xlabel(\"Atmospheric density\",fontsize=12)\n",
    "\n",
    "plt.tick_params(axis='x',          # changes apply to the x-axis\n",
    "                which='both',      # both major and minor ticks are affected\n",
    "    bottom=False,      # ticks along the bottom edge are off\n",
    "    top=False,         # ticks along the top edge are off\n",
    "    labelbottom=False)\n",
    "\n",
    "plt.axhline(y=-5.1706, linewidth=2.0, linestyle='solid' ,color='xkcd:blue')\n",
    "plt.axhline(y=-5.4834, linewidth=2.0, linestyle='solid' ,color='xkcd:red')\n",
    "plt.axhline(y=-5.20, linewidth=2.0, linestyle='dashdot' ,color='xkcd:black')\n",
    "plt.axhline(y=-5.10, linewidth=2.0, linestyle='dotted' ,color='xkcd:black')\n",
    "plt.axhline(y=-5.30, linewidth=2.0, linestyle='dotted' ,color='xkcd:black')\n",
    "\n",
    "ax.tick_params(direction='in')\n",
    "ax.yaxis.set_ticks_position('both')\n",
    "plt.yticks(fontsize=12)\n",
    "\n",
    "ax=plt.gca()\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=4)\n",
    "ax.yaxis.set_tick_params(width=1, length=4)\n",
    "ax.xaxis.set_tick_params(width=1, length=4, which='minor')\n",
    "ax.yaxis.set_tick_params(width=1, length=4, 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",
    "\n",
    "plt.annotate(\"Overshoot limit for min. density atmosphere\", xy=(0.20, -5.1706), xytext=(1.3, -4.9),\n",
    "               va=\"center\", ha=\"center\",\n",
    "               arrowprops=dict(arrowstyle='->, head_width=0.2', facecolor='blue'), fontsize=10, color='k',\n",
    "               bbox=dict(boxstyle='round,pad=0.2', fc='w', ec='k', alpha=1))\n",
    "\n",
    "\n",
    "plt.annotate(\"Undershoot limit for max. density atmosphere\"  , xy=(0.20, -5.4834),\n",
    "                                                                   xytext=(1.3, -5.8),\n",
    "                                                                   va=\"center\", ha=\"center\",\n",
    "                    arrowprops=dict(arrowstyle='->, head_width=0.2', facecolor='blue'), fontsize=10,color='k',\n",
    "                     bbox=dict(boxstyle='round,pad=0.2', fc='w', ec='k', alpha=1))\n",
    "\n",
    "\n",
    "plt.annotate(\"Target EFPA\"  , xy=(4.5, -5.19),\n",
    "                                                                   xytext=(4.5, -5.8),\n",
    "                                                                   va=\"center\", ha=\"center\",\n",
    "                    arrowprops=dict(arrowstyle='->, head_width=0.4', facecolor='blue'), fontsize=10,color='k',\n",
    "                     bbox=dict(boxstyle='round,pad=0.2', fc='w', ec='k', alpha=1))\n",
    "\n",
    "\n",
    "plt.annotate(\"Assumed delivery error\\n\" +r\"$\\pm 0.10$\"+ \" deg. \"+ r\"$3\\sigma$\"  , xy=(5.3, -5.32),\n",
    "                                                                   xytext=(5.3, -4.97),\n",
    "                                                                   va=\"center\", ha=\"center\",\n",
    "                    arrowprops=dict(arrowstyle='<->, head_width=0.4', facecolor='blue'), fontsize=10,color='k',\n",
    "                     bbox=dict(boxstyle='round,pad=0.2', fc='w', ec='k', alpha=1))\n",
    "\n",
    "\n",
    "ax.set_xlim([-1.5, 6.5])\n",
    "ax.set_ylim([-6, -4.7])\n",
    "\n",
    "plt.text(1.3, -5.70, 'Min', color='xkcd:blue', fontsize=10)\n",
    "plt.text(2.3, -5.65, 'Avg', color='xkcd:green', fontsize=10)\n",
    "plt.text(3.3, -5.60, 'Max', color='xkcd:red', fontsize=10)\n",
    "\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-ac-efpa-selection.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-ac-efpa-selection.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/mdpi-aerospace/smallsat-mission-concepts/venus/venus-ac-efpa-selection.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  }
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