{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy import units as u\n",
    "\n",
    "from poliastro.bodies import Earth, Sun\n",
    "from poliastro.twobody import Orbit\n",
    "\n",
    "plt.style.use(\"seaborn\")  # Recommended"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7078 x 7078 km x 0.0 deg orbit around Earth (♁)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_i = Orbit.circular(Earth, alt=700 * u.km)\n",
    "ss_i"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$7078.1366 \\; \\mathrm{km}$"
      ],
      "text/plain": [
       "<Quantity 7078.1366 km>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_i.r_a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from poliastro.maneuver import Maneuver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "hoh = Maneuver.hohmann(ss_i, 36000 * u.km)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$3.6173999 \\; \\mathrm{\\frac{km}{s}}$"
      ],
      "text/plain": [
       "<Quantity 3.6173999034657527 km / s>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hoh.get_total_cost()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$15729.733 \\; \\mathrm{s}$"
      ],
      "text/plain": [
       "<Quantity 15729.733147123985 s>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hoh.get_total_time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Quantity 0.0 s>,\n",
       " <Quantity [    0.       , 2197.3992373,    0.       ] m / s>)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hoh.impulses[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Quantity 0.0 s>,\n",
       " <Quantity [    0.       , 2197.3992373,    0.       ] m / s>)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hoh[0]  # Equivalenthoh[0]  # Equivalent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Quantity 15729.733147123985 s>,\n",
       " <Quantity [   -0.        ,-1420.00066617,   -0.        ] m / s>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hoh[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Quantity 15729.733147123985 s>,\n",
       " <Quantity [-0.        ,-1.42000067,-0.        ] km / s>)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tuple(val.decompose([u.km, u.s]) for val in hoh[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ss_f = ss_i.apply_maneuver(hoh)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36000 x 36000 km x 0.0 deg orbit around Earth (♁)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['seaborn-talk', 'seaborn-white', 'classic', 'seaborn-bright', 'seaborn-dark', 'seaborn-pastel', 'dark_background', 'seaborn-whitegrid', 'bmh', 'seaborn-notebook', 'seaborn-ticks', 'seaborn-muted', 'grayscale', 'seaborn-poster', 'seaborn', '_classic_test', 'seaborn-darkgrid', 'seaborn-deep', 'ggplot', 'fivethirtyeight', 'seaborn-colorblind', 'seaborn-paper', 'seaborn-dark-palette']\n"
     ]
    }
   ],
   "source": [
    "print(plt.style.available)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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99/691mfT0tJJSenE5Mn34Ha7+etf70ev19dqFxYW7ntg/tBDj/5hGz2YPXs2jz32T3r1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\nieIhCIIgdNr/Bz/s3DW4WC80AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9c6b2a1c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from poliastro.plotting import OrbitPlotter\n",
    "\n",
    "op = OrbitPlotter()\n",
    "ss_a, ss_f = ss_i.apply_maneuver(hoh, intermediate=True)\n",
    "op.plot(ss_i, label=\"Initial orbit\")\n",
    "la, lb = op.plot(ss_a, label=\"Transfer orbit\")\n",
    "lc, ld = op.plot(ss_f, label=\"Final orbit\")\n",
    "\n",
    "la.set_color(\"C2\")\n",
    "lb.set_color(\"C2\")\n",
    "\n",
    "lc.set_color(\"C4\")\n",
    "ld.set_color(\"C4\")\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig(\"hohmann.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1 x 1 AU x 23.4 deg orbit around Sun (☉)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Orbit.from_body_ephem(Earth)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from poliastro.neos import neows\n",
    "from poliastro.bodies import Sun, Earth\n",
    "from poliastro.twobody.orbit import Orbit\n",
    "from poliastro.plotting import OrbitPlotter\n",
    "\n",
    "apophis_orbit = neows.orbit_from_name('apophis') #Also '99942' or '99942 apophis' could be used\n",
    "earth_orbit =  Orbit.from_body_ephem(Earth)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VfLLxMEEBGm6ZUTtrX1sONe20WCj94nPKv1+HNiGRpAcfbrAvR0f9LERnMaHN\nGC02vvzlKH1TwundKYzwYD+evW2kV7TvP8l8+BCF/3sTa/4JlMEhRFw9j6ARI9t1By9v1zk2iHvm\nDMDuONXM9KXVewgP9mPayE7NGsn0XBR+fkReOafumcHJz9phMtYbq0g4m0gCHnTmfMNtta4rOJxO\nNu3K57NN2RjMNgrLTPTuFAbgVQkAwFqQjzX/BCETLiLi0svFQ18vIUlS3fMhg9lGTpGBPw6W8Mue\nfC4dk8L4gfF1jSBaSpuYVPfvmpzj5DzzZG3Lr4vSRAuiRogkIDRp/9EyPvjhILnFRrQaJZePSyFt\ncKKnw6rHlHkAbVIySp2OoJEX4peUXO+EIHiXQJ2aJ24ezoY/8liz+Qjvrc8iPSOfv07uUW9k2NZw\nmExIKhXFH76PKfMAMfNvgHYwv3BbUz7yyCOPeDqItmQ6bfjhlggI0LZ6H96grcqxZW8By1bvodpk\n48J+sdx5aV/6dglH2cortuZoThkcJhPFH7xH8Qfv4jSZCOw/AEmSUAUHuzy+5moP3ylXlEGhkEiJ\nC2ZUv1gqDTVkHClj2/4iJlwQ3yYTAakjIggaPhLLsaOYMvZQ/es2gnt0x67z7UTQks8iIKDxjpni\nTkA4y8m2ApIkMbh7JBnZMaQNSaBTTNtNT9gWTJkHKHj9v9jLy9DEJxB84WhPhyS0QHCAhptn9GZk\n3xgqDVZ02trTksFsa3VVoyokhIRF/6T0yzWUffUFe+57kNi/LagbElwQSUA4Q6WhhpXrsuiWGMJf\nhiSiVim5aXovT4dVj+x0Uvb1l5R+8TlIEmHTZxJ+8XQklfg6+7I+ncPr/m21OXjsnd9IiAxk7sSu\nhAW1fEwiSaEgYuYs/Lt1p+LLzzzSQsybiV+NANRe/W/dV8j767MwWuxY7Q7SBid45cO0mtwcSr9c\ngyo0lNib/yZ+1O2Q0WInJEDD71nF7DtaxrV/6c6IPjGt2qd/z14kjR5KSUnt0CqWo0dQR8eg1HXs\nhgMiCQhUGGp459tMdh4qQaNWcHVaN8ZfEO91CUB2OJCUSvySkom95Tb8u/dAGegdndKEthWq1/LP\nqy/g5935fPjDQVZ8tY892aVc85fu+Pu1/LR18jttLSoid+kzqCMiiP/73R16tFjRcLqDKyo38eCK\nbew8VEKPpBAevWEYFw1KcOt8vU2RnU5KPl9N7pKnkf/sJa0fNFgkgHZOIUmM6R/HI9cPJSUuiK37\nCnlp9e43AJIhAAAgAElEQVQ22bc6PBz90GHU5ORw/InHqDlxok3264vEnUAHFxmiY1D3SDrF6Bk7\nMN6rTv4A9qoq8l9bjjnzAKqICOzl5agjIz0dluBGUSE67r36gtpOil3Cm96gGSSlkqhr/ooqNIzS\nz1eT89TjxN+xEF3Xjle1KO4EOqDiCjPfbjsO1N4eXze1J+Mv8K6rfwDT8eMcf+JRzJkHCBw4iOR/\n/VskgA5KpVQwa0wXUhNqm/4WV5h57uOdFFWYW7xPSZIInzaD6OtuwGkxk7v0aYwZbXOn4UvEnUAH\n80dWMa9/vR9zjZ3UhGBS472nPf3pjBm7OfzaKzjMZsJnziJs2gyve0YheM7WfYVkZJfxyJvbmT+l\nB0N7Rrd4X8GjRqMKDqb4ww/QxCW0YZS+QSSBDsLucPLpT4f5bnsOGpWC66b28NoEAOCssSI7HMTc\nfGuDk4wIHdu0EclEBPmxcl0mr67Zy/FCA5eO6dLiYScC+vTD/9+96yarcdpsKNTeNRyKq4gk0AGU\nVVl4ZU0Gh/OqiAnz57ZL+pDgJUM9n052OJDtdhRaLfpBg0kYNoBKu/iKCmeTJIkRfWJIjtGz7NPd\nrN16jNxiAzdP793i1kMnE0DNiRPkvfgc0VfPI6Cve2bj8yTxTKADSM8o4HBeFUN7RvHQXwd7ZQJw\nmEzkvfg8+a8tR/5zBjVNaMdttic0T1xEAA/+dTB9OoeRfaIKo8XW6n06qqtwVFZyYvkyTJkH2iBK\n7yaSQAcwdXgyt8/qyy0zetd1yfcm9spKcp55EtPeDKB2xihBaK4APzULr+jP/dcOIjKktuNXjc3R\n4v35d+9B7N8WIDud5L34Aubs7LYK1SuJJNAOybLMqh+y+DL9KFA7UFdbzPHqCrayUnKeeQJrbg7B\n4ycQt+DvKLSND3YlCA1RKCRiwmqnCq00WnlwxTa+2XqMls6ZFdivP7E33YpsrSHvhaXU5OS0Zbhe\nRSSBdsbucPK/bw7wztr9bNqZh7nm3FNQepK1sJCcp5/AVlhI6JSLiZp7rZj4RWi1KqMVpyyzauNh\nXv9qX72JbM6HfvAQouffgNNkJP+/r9RVU7Y33lc3ILSYucbO8s/2sPdoOSkJwdw2s49XVv+cZD6Y\nib20lPBZlxF+8XRPhyO0E4lRgTz018G8vHoPW/YWYjDbuW1WH7Rq5XnvK3jUheB04NepS7u9QPHe\nM4RwXsqqLLywahe5xUb6p4TzwA3DMVS1vCONOwRfOAZtQhJ+nTp5OhShnQkJ1HLPVQNZ/lkGe7JL\nWfrhTv5+RT9a0tUwePTYun87zGYUWm27SgjtpyQd3PrfcsgtNnLRBQnccVk/r70DMB/Mouj9lXW3\n1iIBCK6iVSu547K+DO8VTW6xgdJKS6v2Zy0u4vhj/6Zk9SdtFKF38M4zhXDeLhubQpe4YAZ76QNg\nAHP2YXJfeA7ZbiNo5GiRAASXUykV3Di9F4VlJmLDWzfhvDKgtml1+bdr8UtKRj90WFuE6HHiTsCH\nHSuoJj0jH6j9sg/pEeW1CaAmL5e8F55DttYQe/PfRAIQ3EYhSXUJoNpkZcmHf5BTZDjv/Sj9/Ym7\n/U4Ufn4U/O8NanKOt3WoHiGSgI86kl/Fsx/8wVtrD1DcikG03MFaWEjuc8/iNBmJnn8D+kGDPR2S\n0EHtzCpm39Fynn7vdw7lVp739tq4OGJuuBnZaiXv5RdxGM4/mXgbkQR80OETlSz5cCdmq53rp/as\n6yDjjRwGA7nPPYOjspLIq66ubW0hCB4yekA8N03vRY3NwXMf7+RIftV57yNw4AWETZ+JvaSEgjdX\nuCBK9xLPBHzModxKnvt4J1abk5un92ZYr5aPnugOioAA9EOGofDzI/SiNE+HIwiM6B2DWqnglTUZ\nPPfRTv459wISz3MolfDpM3FUVhA0arSLonQfcSfgQ44VVLP0zwRwy0zvTgDOP4d+kCSJyMuvJEz0\nAxC8yOAeUVw/tSdGi50XVu3CZj+/YSYkhYLoedehS0l1UYTuI+4EfEhMmD+pcUGMGxjPoO5Rng6n\nUbLdTt5/nkOXmkr4zEuRJMlrH1gLHdeovrHY7E7CgrSoVeffkewka1ERZV+uIeqaeT455IlX3Alk\nZWUxceJE3n333bOWpaenc/nllzN79mxefvllD0TneU5n7fgnWo2Su2cP8O4EIMsUvb8S84H91OTl\nQQvHbhEEdxg3MJ5+KREAWG0OKg01572Pyp82ULXlF0o++7Stw3MLjycBk8nE4sWLGTFiRIPLH3vs\nMZYtW8YHH3zA5s2bOXTokJsj9KxKo5WH39rOzoMlAF5/RV3x/ToqN/2ENjGJ2Btublc9K4X2y2Z3\n8sKqXTzzwR9UGa3ntW34jEtQR8dQ8cN6TFmZLorQdTz+C9VoNKxYsYKoqLOvbnNycggODiY2NhaF\nQsHYsWPZsmWLB6L0DIu1tr4yr9jI0YLzb8Xgbobduyj++EOUwcHE3bEQhZ+fp0MShGZRKSU6xQSR\nX2pi6Uc7MVmaP/CiQqsl5vobASh863Wcltb1THY3jz8TUKlUqFQNh1FcXExYWFjd3xEREeQ0MaRr\naKg/qlbU7wFERupbtX1bsDucLH5jG8cKqkkbmsSNs/qd912AO8thzs/n8IpXUajV9H7ofvRdk9tk\nv97wWbSF9lCO9lAGaLwct105AEmp4JstR3nz2wP86/phKJXNvE6OHIhz1kzyVn+OYe3npNxyU9sF\n3NDh2vCz8HgSOJeGxgJv6kRYXm5q1TEjI/UUF1e3ah+tJcsyb3y9n98zi+iXEs6V47pQUnJ+nVLc\nXQ5Z0hE4fCT+3bpjCYnG0gbH9obPoi20h3K0hzJA0+W4bHRncgur+f1AES99/AdzJ3Zr9r51aVPR\nbN1O0U+bCfjLNJSBrpnBryWfxbmShlcngejoaEpKSur+LiwsJDKyJeMA+pbvtueQnlFA59gg/jaz\nD0ofqFeXlEqir77W02EIQqsoFBK3zuzNEyt38P1vuYzqE0tyTPOuuhVqDbG33o7SP8BlCcAVvDoJ\nJCQkYDAYyM3NJSYmhg0bNrBkyRJPh+VyI/vGcKywmqsmdkWraV3VlquVrP4EZWAgIWmTvP6htSA0\nh06r4s7L+3G80NDsBHCSNi6+7t+yLPvEb8LjSSAjI4Onn36avLw8VCoV3333HRMmTCAhIYG0tDQe\neeQRFi1aBMDUqVPp3LmzhyN2nZNfmiB/DbfM6O3pcJpk2PkHZWu/Qh0dQ/DY8Ug+2EZaEBoSGaKr\nG47F6ZSpMlkJCWz+99uw8w9K16wmfuE9qIKDXRVmm/B4EujTpw8rV65sdPmQIUP46KOP3BiRZ1SZ\nrDz/0S6uGJ9Cr05hTW/gYbbSUgrefB1JrSbu1tt9spOMIDTF6ZR5afUeTpQaeXDeYAJ16mZtZy8v\npyYnh9I1nxE9b75rg2wl769s7gAcTievrdnLscJqDp/w/qagst1O/mvLcZqMRM65Gm1ioqdDEgSX\nUCgk4iMDKCo38/LqPc2erzh4zFg0sXFUbv6JmrxcF0fZOiIJeIHVP2Wz/1g5A1IjuHhE2zStdKWS\nzz7Bkn0Y/dDhBI8Z2/QGguDDZo3pwqBukWTmVPDZ5uxmbSMplURccSXIMsUff+jiCFtHJAEP++1A\nEd9sO050qI4bp/VC4eUPkmSnE3t5BeroaKLn/dUnHnwJQmsoJInrL+5JVIiOb7YeJyO7tFnbBfTt\nj3/P3pj2ZmDM2OPiKFtOJAEPOlFi5I21+9GoFdx+aV/8/Tz+iKZJkkJBzE23kPR/D6Lw8955DASh\nLem0Km69pDdKhcSKr/ZhtNia3EaSJCKvnA2SROXmn9wQZct4/1mnHVOrFESH6JgyPJmESO9uVyzL\nMpbsw+hSUpEkCaW+ffQeFYTm6hQTxNyJXVGpFPhrm3fq1CYmkbDon+i6Nr/TmbuJJOBBkSE6Hpo/\n2Cc6g1Vv30bBileJuOwKwqZc7OlwBMEjxl+QcN7b+Pfo6YJI2o73n33aoQPHyjlWUNvt2xcSgL2y\ngqL3VyJpNAQOHuLpcATB42qsDt5cu5+snIpmre8wGChZ8xnVv+9wcWTnz/vPQO2MwWzjtS/28tR7\nv2MwN12v6GmyLFO48m2cRiMRl1+JJtJ75zIQBHfJLTaQvqeA177Y26zfsdNspuyrLyj78vMGx0Tz\nJJEE3Gzld5lUGq1MH9Wp2R1PPKl62xaMO/9A170HIeMmeDocQfAKKfHBzBzdmfLqGt7+5kCT66sj\nI9EPHkJNTg6mfXvdEGHziSTgRtv2FfLrgSJS44OZPDTJ0+E0yV5ZSdH77yFptUTPv15MECMIp7l4\neDLdEoLZkVXMbweKmlw/dNJUAMq//cbVoZ0X8at2k/LqGt5dl4lGreCGaT1RKLy/fb0yMJCwyVOI\nvHKOqAYShDMoFBJ/ndIDlVLBe+uzmmw26tepE7oePTHt34vl+DE3Rdk0kQTcZPWmwxgtdmZP6Ep0\nqL+nw2kWSakkbOo0QsaO93QoguCVYsMDmHlhJ6pNNg4cK29y/bDJUwDvuhsQTUTd5KqLuhEfEci4\nAXGeDqVJst1O5S+bCR41GqmRWd8EQag1aWgS/VMiSIhquq+Pf+++BI+/CL0XtbITv3A38fdTMXmY\n9z8HAKjY+CPFH76PvbSUiEsv93Q4guDVVEpFXQJwOmUcThm1quFKFkmSvG7yJVEd5GKfbDzML3vy\ncXpZs7DG2CsrKV3zGQr/AELTJnk6HEHwGWVVFp58dwef/nS4WevbSktx2jzfTFwkARfKPlHF2q3H\n+G77ca9rG9yYkk9X4TSbiZh1qRgaQhDOQ6BOjcFsY/1vOWQ3MSR8xYYfOfJ/92DcvctN0TVOJAEX\ncTpl3l2XCcDVad18omew+fAhqtJ/RpuYSLB4GCwI50WjVjJ/Sg9kGd757sA57/51XbuCLFO15Rc3\nRtgw7z8z+ajNu09wtKCa4b2i6Z4U6ulwmiSfNu555FXXiD4BgtAC3ZNCGdE7muOFBrZkFDS6njYh\nEW1iEsY9u3FUV7sxwrOJX7oLGMw2Pv0pG61GyRXjUz0dTrOFTZ1G6OSp+Hfr7ulQBMFnXTY2BbVK\nwepN2dTYHI2uFzRiFDgcVP26zY3RnU0kARfYtOsEBrONmaM6E6r3jbl3JUkisP8AIi+/0tOhCIJP\nCwvyY9LQRBwOJ/mlxkbX0w8bBgoFVemerRISTURdYPKwJMKD/BjUPdLToTSLOTsbdVgoqhDvr7YS\nBF9w8fBOTBmWjO4c8w6ogkMI6N0H47692MrLUYd65vcnkoALKCSJYb2iPR1Gs8h2OwWvv4ajuorO\nzzyHUidmCxOE1tJqlHX/tjucqJQNV7pEzp5LTECAR1viieqgNpSVU8GqDYd8Yojokyp/+RlbUSH6\n4SNEAhCENrYjs5h/vpLO8cKGH/5qYmI83hRbJIE2Issyn23K5pttxyksM3k6nGZxWq2UfbUGSaMh\n/OIZng5HENodrVpBhcHKxxsONdpXyGE2U73jN6xFTY9E6goiCbSR/cfKycypoF9KOCnxwZ4Op1kq\nf96EvbyckPEXoQoJ8XQ4gtDu9OkSTp/OYew7Ws6+ow0PMGfau4f8V16ietsWN0dXSySBNiDLMp9t\nzgbgktGdPRxN88gOB+XrvkVSqwmdNMXT4QhCu3XZ2BQAvko/2uBy/569QZIwZuxxY1SniCTQBvZk\nl3E4r4qBXSPoFBPk6XCaxWky4ZfciaALx6AK8o2YBcEXJcfo6dslnMycigbnJFYGBODXJQVL9mEc\nxsablLqKSAKtJMsya34+eRfQxcPRNJ9SryfubwuIuupqT4ciCO3etJHJQO3sgg0J6NsPZBnTfvdP\nPSmSQCtJksQ1f+nOFeNSSGzGeOLeQLbb6/4thocQBNfrmhDCvXMHcvVfujW4PKBPXwCPVAmJfgJt\noHNsEJ1jfadKJW/ZC0hKJbG33o5Co/F0OILQIZxrDDFtUjLKQD22khI3RlRLJIFWOFFiRJZl4iN9\n4w4AwHL8GKa9Gei69xAJQBDcrLy6hu+2H2d0/zjiIwLqXpcUCjo99iTKQPefS0RdQCt8timbh97Y\nTk6RwdOhNFv5+u8ACJs81cORCELHcyS/inW/5rB2y9GzlnkiAYBIAi1WUmHm94PFJEfrSYgMaHoD\nL+AwGDD8uh11dAz+f9ZBCoLgPgO6RhAfEcC2fUUUV5jPWm7cm0HVlnS3xiSSQAv9+HsesgwTBycg\nSZKnw2mWqq3pyHY7wWPG+kzMgtCeKCSJKcOTcMoyG//IO2t50fsrKfrgXbfORCiSQAvUWB1s2nWC\noAANQ3v6xkBxAFW//IykUhE88kJPhyIIHdaQHlEE6tRs3p2Pze6st8wvuTNOkwlbcbHb4hFJoAXS\nM/Ix1dgZNyAOtcp33sL4u+8h9tbbPT5glSB0ZGqVklF9YzCYbezIqj9ekF+nTgDUHD3itnh85wzm\nRYwWO/5aFeMHxns6lPOi0gcROGCgp8MQhA5v7IB4hveOJi68/vNEbXInACzH3JcERBPRFpg2shN/\nGZKIRq1semUv4DAaMe3fR+CAgUgq8ZELgqfFhPlz8/TeZ72uTUoGScJy7JjbYhF3Ai3kKwkAah8I\n57/6MhU//uDpUARBOMPp848odTo00THYS0rc9nBYXBaeB4PZxvLP9nDRoESfmToSoHrrFpAk9MOG\nezoUQRBO8+qaDPYeKWPp7aPqLiwT/+8BFAEBbmvB5/Ek8MQTT7Br1y4kSeL++++nX79+dcsuueQS\n9Kc9xFyyZAnR0Z5rjfPbgSIOHK+gb0q4x2I4X7biYixHsvHv2RtVsG/McyAIHUVkiA6jxc6vB4oY\n1TcWcH+nMY8mge3bt3Ps2DE++ugjDh06xH333ceqVavqrbNy5UoPRXe2LXsLkIBhPtQstPq37QDo\nhwz1cCSCIJxpbP841m45xqZdJ+qSgOxwYDl6BJwyuq5dXR6DR58JbNmyhYkTJwKQmppKVVUVBsOp\nIRiMHhhbuzElFWYO5lbSIzmUsCA/T4fTbNW/bgelksALBnk6FEEQzhARoqN7UggHcyspr64BQLbZ\nyHnyMUq//NwtMXj0TqCkpITevU89IQ8PD6e4uJjAP2+HKioqWLRoEXl5eQwbNoyFCxc2WU8WGuqP\nStW6h7aRkWe3o9+wKx+AtGHJDS73RqEBSo7bbYQO6E9M51hPh9MivvJeN6U9lKM9lAG8rxzjBidx\n4HgFB3IrmTEmBdBzLDgYZ0VZo7G2ZRk8mgTOfPoty3K9k/xdd93FjBkz0Gq13Hbbbaxbt45Jkyad\nc5/l5a2b5D0yUk9xcfVZcX2//RgqpYJucUFnLfdGkZF6yo0OEv/9OE6LxSdiPlNDn4Uvag/laA9l\nAO8sR/c4PZIEP+3IYUTPKACUYeHU5BynqLDyrDk/WlKGcyUNjyaB6OhoSk4bP7uoqIiIiIi6v+fO\nnVv373HjxpGZmdlkEnAFWYa0wYlUGq34+3n8Wfp5kSQJpU7n6TAEQWhEcKCWOy7rR2r8qYYbqvAI\nLEeycVRVogppfB6CtuDRZwKjRo3iu+9qhzbet28fUVFRdVVBZWVl3HTTTdhstW1of/31V7q64SFJ\nQxQKiXED45l5oW9MIg9gKSigZPUn1OSdPUiVIAjeZUBqBIE6dd3f6j8vhm3Frp9kxqOXtRdccAG9\ne/dmzpw5SJLEww8/zOrVq9Hr9aSlpTFs2DBmz56NRqOhV69eHroLkHE4ZVRK3+pXV/brDsrWfoU6\nIhJtvG8NbyEIHVGN1cGhvEp6dw47lQRKi13eQsjjdRv33HNPvb979OhR9+8bb7yRG2+80d0h1ZNX\nbOTJ93ZwyYVdSBuS6NFYzkf5738AiHkDBMFHvPzZHjKOlLHktpEEDRqMrmt31JGu75TqW5e3HrA7\nuxRzjYNAf3XTK3sJp9VKVcZeNPEJqMPCPB2OIAjNMLBr7dX/b5nFqPRBaOPj3TIFrEgCTdh9uBQJ\n6NPZd06m5swDOK1WAsRdgCD4jAu6RyEBv2fVziUg2+3YKypcflyRBM7BZLFzKLeSznFB6P19Z1J2\nY8YeAAL69mtiTUEQvEVwgIakGD2H8yqpsTrIvvcecp5+wuXHFUngHPYdLcMpy/Tt4jtjBQFIGg3a\n6Ch0qZ5pTSUIQsv06hSKwymTlVuBKjgYe6W4E/Co3YdLAejnQwPGAURedgWDXlsu5g4QBB/Tu1Nt\ntfORE1Uo/PyQrVZkp7OJrVpHnCXOYeLgBKLDdCTHeFc38+YQE8kLgu/pmhDCU7eOICpER94ftZ08\nnRYLSn9/lx1TJIFzSIrWkxTtWwmgYsMPOC0WwmbP8nQogiCcJ7VKQVRI7clf4XcyCZhdmgREdVAj\namwOt83s05YqNvxA6VdfoBBVQYLgk+wOJ1k5FZjk2oEwnRaLS48nkkAjXluzl7tf/gWTxdb0yl7C\nYTBgPXECXZcUJKXvTH8pCMIpucUGnnrvd/7wSyZ6/vWoglw7GZRIAg2QZZnsE5UoFRL+fr7TScyc\nfQgAP9EqSBB8VlKUngA/FdsM/gSNGu3ymcZEEmhASaWFKpONLnG+NR2j5VBtEhBNQwXBdykUEj2S\nQymtqqG00rVVQSCSQIMOn6gEICUuyMORnB/zoYMgSfh17uLpUARBaIUusUF0MeZR/PSjVO/41aXH\nEkmgAdl5VQCk+NidgMLfH13Xbi5tSSAIguslx+hRy3aUxfnYy13bYUw0IWnA4RNVKBUSSdGurYtr\na/EL/u7pEARBaAPJMXocUu01uuywu/RY4k6gAZeM7sxVE7uiUYsWNoIguF+An5p5E1MBkJSuvVYX\ndwIN8LWxggAMu3dhLy1BP2SYy1sTCILgesE6FSZAcvGEVuJO4Ay+2EEMoOqXzRS9txKntcbToQiC\n0AbsttpqIEONa8cOEkngDC9/sov7XttCWZXrm2a1pZq8XBT+/qhCfWfeA0EQGpdv17A/MJmMCteO\nAyaSwBmOF1RTXGEhKMB35g9wWq3YCgvRxieIgeMEoZ1IGjqANTFj2StFuPQ4IgmcIa/YQESIn09N\nLG8tyAdZRhOf4OlQBEFoI4E6NRHBfuQUVrv0OL5zpnMDg9lGldFKTJhvtbO3FddOR6eJivJwJIIg\ntBVTVibjS3agKS/CXOO6ZqIiCZymoNQEQGy4byUBp8mIpFKhioj0dCiCILSRmqNHSTm2g1BbNcUV\nZpcdRzQRPU1+mRHA5+4EgkePJWjUaPDRlk2CIJxNdjgAcEgKiissLpvbRCSB08RHBHLJ2BRS4n1r\nuAgASSFu6gShPXGaa2smrprSl/jOoS47jkgCp+kSF8Sw/vEUF7v2QUxbM2bsQRkUhF9SsqdDEQSh\njdira8cwS+wSi0bjulO1SAI+TpZlTrzyEpqoKJIfXuzpcARAYc9HZd2JwpGDJFvA6Y+fSYld1QO7\nph8oAjwdouADHFW1SUDS6zGYbQTqXDO3iUgCf5JlmaUf7aR3SgRThiR6OpxmcxoMyDU1qMJd25ZY\nOAfZicbyHX6G91DVbEPpLKy/vAJO1ubKKHCoumLVTcASeAMOdTe3hyv4CElCodPxwNs7USgUPHXr\nCJccRiSBP1msDvYdLcdf5zudxADsf14tqIJDPBxJB+Q0ozO8hq76DZSOY83aRMKJyp6JqjoT/+pX\nsGrHYA5agFU32cXBCr7m5KjAwSt/42h+NQ6nE6ULnv2Jp4l/qjJaAQgJ1Ho4kvPjMBoAxKBxbqaq\n2UpowSgCK/7V7ATQEE3NJoKLr0RfMh/JUdqGEQrtRVSIDodTpqzKNeOCiSTwpyrTn0lA72NJoLr2\nIbYyQCQBt5DtBJTfT0jhZFT2Q222Wz/TasLyh6AxrW2zfQq+y2mzUf37Dmry8ggOqD0nVZtsLjlW\ns6qDCgoKePPNN9m8eTMnTpwAID4+ntGjRzN//nxiY2NdEpw7VRlr3+BgX70T0Isk4HKyhaCSv6I1\nf+OS3SucJQSVzMUQ9jyWwOtccgzBNzgqKshfvoygEaMI6JUG1I5o4ApNJoFPPvmEN954gzlz5rBs\n2TLi4uKQJIm8vDzS09O54YYbuOGGG7jssstcEqC7+OqdgH7wEPw6dUYtRg91LdlOUPE8tJZvXXoY\nCSf6sr8DKiyB17r0WIL3Otk8VBmkJ8CvtlWQ0eKhJJCVlcUXX3yBWl2/eVJqaiqpqanMmTOHpUuX\nuiQ4dwrUqemWGOJzvYWV/gEok0STQ1cLLL/X5Qmg3vHK7sShSsbmN8ZtxxS8x8nmoUp9EF0TQ7g6\nrRudYjzUY/j+++8HoLCwkHXr1lFVVVVv4pUFCxZw3333uSQ4dxrSI4ohPaKIjNT7VGcxp8WCpNGI\nHsMupLZsxM/wuluPKeFAX3o7ZbFbQCGq+joaW1ERAOqISMIiAoiPcN2FXrPPHDfffDP79u3DZrNh\nt9vr/hM8q+Ct1zl4yw11D4iFtiU5q9GXLkDC/eMyKR3HCKx4yO3HFTzPWpAPgMYNz1ub3U8gODiY\nJ5980pWxeNRPO/Ow2p3MndLL06GcF9lmqx04TiW6fLiCf9VzKB3HPXZ8P8ObWALnY9f091gMgvtZ\nC/JBklBHRVFtsrLs0z10TQjmivGpbX6sZp850tLS+OKLLxg4cCBKpbLu9bi4uDYPyhN+2nmCE6VG\n30sCf440KKmUTawpnDe5Bj/D/zwagoSMX/UKDOEveTQOwb3i7liIrbgIhVqDRnZwKK8SndY1F3rN\n3mtmZiZffvklISGneqZKksTGjRtdEZfb2R0yKh+sV5f/rJKTlOJOoK1pTatROD3fgcvP9AnG0MeQ\nFaJXeEeh1OlQ/jkgpEatQKWUPNdE9KRdu3axfft2tFrfakLZXA6nE6XS9+bnle12UCrFg2EX8DO8\n4+kQAJBkE1rjx1j0N3s6FMENHCYjTrMFVWgokkKBJEloVEpsdodLjtfsM0efPn2wWq0uCcIb2B1O\nnwgM2k0AACAASURBVJpX+CTZbkdSiqqgNifbUNf85uko6qhrtng6BMFNDL//zpF7F1H586a61xQK\nyWVzRjX7TqCwsJAJEyaQkpJS75nAe++955LA3M3ukFEqfO9OIHTiX+p6DQttR2Xbh4RrxmppCZV1\np6dDENykrmVQzKmWQZIEThdlgWYngVtvvdUlATzxxBPs2rULSZK4//776devX92y9PR0nnvuOZRK\nJWPGjOH22293SQwADqeMVu17V9RBI0Z6OoR2ydtOukp7NpKzElnhe7PeCeenoeah/VMiXHZ+anYS\nSE5OJjo6ut5rO3e27oeyfft2jh07xkcffcShQ4e47777WLVqVd3yxx57jDfeeIPo6Gjmzp3LpEmT\nSE1t+yZSAM8vGCWm6BXqKO1HPB1CPRIyCvsxHJp+Ta8s+DTriRMo/ANQBp7qIXz9xT1ddrxmV4Lf\neOONHD16tO7v5cuX83//93+tOviWLVuYOHEiUDsMRVVVFQZDbdVGTk4OwcHBxMbGolAoGDt2LFu2\nuK5eVJIkFD5YHVT43kpyljzt6TDaH9ni6QjOIslmT4cguJijuhpbUSF+nTsjSe45HzX7TuDZZ59l\n4cKF3Hnnnbz11lvExsbyySeftOrgJSUl9O7du+7v8PBwiouLCQwMpLi4mLCwU4OiRUREkJOT0+Q+\nQ0P9UbWgzfzBnPK6gZoiI10zRocrFBSewJx5gIiIwLO+NL5UjsZ4rAwWDXhZJ+zQkEAI9Nxn2h6+\nT+Dd5Sg7mglAeN9e9eJcveEQsixz2YSuQNuWodlJoEePHrz22mvcdNNNjBo1invvvbfVB5fPqH+R\nZbnuRHbmMqBZmbG83NSiWO75z2a6xAXx/N3jfGrsILssgSxTXFCBdFqvYV8bA6khniyDv0WFtw3L\nV1Yp4zB75v1oD98n8P5yOGOSiF94N8rIqHpxfrn5ME5ZZkzfmBaV4VxJo8kkMHfu3HonX0mSWLVq\nFbt37wZa1zooOjqakpKSur+LioqIiIhocFlhYSGRkZEtPlZTNGoFVptr2uG60skTv2y310sCQus4\nVCmeDqGe2rmJO3s6DMHFFH46Avqc/dxHIUk4nB5qHbRw4UKXHBhg1KhRLFu2jDlz5rBv3z6ioqII\n/HOaxISEBAwGA7m5ucTExLBhwwaWLFnislg0aiU1dqfL9u8ypyUBoe3YNRd4OoR6HOpuoPC2exOh\nLclOJ87/b+/Ow6Oq7sePv+/sk0z2fYOwJiyBhEV2EQURtIJKBJS6o60bttaq3+q3dlPbam396k8F\nd6zVglqxKuDCorLvECCsIfu+TJJJZr2/PwKRQPbMzJ1Jzut5eB5m7tw7n5ObzGfuued8Tn096qCL\nv7V7angodCIJ6PV6Ro9uv3jV/v37O3xNa8aMGcOIESNYtGgRkiTx29/+lo8//pigoCBmzZrFU089\nxcMPPwzA3LlzGTDAc9+E9H56JaDS6gBw2Wz43wBX3+XUDkWWApDk7nUvuptDl6F0CIKHWfNyyf3D\nU4TPvYbI6xe02NZocxIcqPPI+3aYBF5++WWGDRvGrbfe2uJGLUBVVRVvv/02R48e5bXXXutWAL/6\n1a9aPE5NTW3+//jx4/nwww+7ddyu0mnVWBp9Z3JQZxmSk3E1NoACpY57NUmNXT8JXeM3SkcCgE0/\nTekQBA9rPNm0ZrX2gqH4AI02BzFhRo+8b4dJ4NVXX+XNN9/kmmuuISEhoXk94cLCQoqLi7njjjt4\n5ZVXPBKcN+m1aqx+eCUQduVVhF15ldJh9EoNpjt8Igm4pFCsAdcrHYbgYQ1nk4BxUMu5UA6nC71W\nTYBB29puPdZhElCpVNx1113cfvvtHDx4kKKiImRZJj4+nrS0tBYlJPzZoiuGYLc7Wx2VJPRNNuNc\nnOoE1M4CReNoNC0GlX8teyp0XcPJE6gCA9HGxLZ4XqNW8X8PeW6Z0U4PJ1Gr1aSnp5Oenu6xYJQ0\nOKFpOr63Jmi4i62khNod2whIHYZxyFClw+ldJDUNQXdjqv6tYiHIaGg03aXY+wveYS8rw1FeTmB6\nhtc/g/yvbKbQgr2inIpPP8Fy9IjSofRKDUH34dCO6PiFHmIJ/iVO7RDF3l/wjrqD+wEITLt4eKil\n0U5WTiXl1Z6ZMd7pJLB+/XqPBOArPvjmOPe9sImi8nqlQ+kS9dkhtc46UUnUIyQdtRGvIHf+otlt\nHNqRWEJ6PilT8H3Bl0wkduk9mNIvHgWWV1rH8x/sY/OBIo+8d6eTwKpVq7jnnnsoLCz0SCBKU6sk\nGqxOqmp9r2ZMe84VmXKaaxSOpPdy6NKxhPzaq+8pS0ZqI14ByTM3AwXfojaZCJ4wCU3IxavHNdia\nBqwY9Z65/9rpJLBixQrmzZvHbbfdxvLly3H0sslJoUFNK6ZV1PhXEtCEhoJajb2ivOMXC91mCXmM\nhsBbvPJeMhrMke+IxeX7CEd1Nc6Gtrt6GhqbPmuNOs9cjXbpnsDcuXP5+OOPKS0t5frrr2fXLt9Z\neamnwkz+mQQklQpteAT2MpEEPK0u/EUaTLd79D1kyYA58p/YjGLYb19RseYTTj50P9aC/Fa3V57t\nnQgL8szSvl1KAseOHePzzz+nrq6OkpIS7r77bp588kka2sli/iKs+UrA/9qijYoCCVx2zyxELZwl\nqagL/wd1oc8gS+6fuOPQDKE6+nNsAXPcfmzBN8myTN2B/aiMRnRx8a2+ptLcNIk1ItjgkRg6nQTG\njRvHsmXLOHjwIBMnTmT16tXs2rWLgQMH8uCDD3okOG86lwQq/exKACBh2S8Z9LcXUWlF/7E3NATf\nR1XsD9j1k9xyPBkVlqAHqIr7AYd+vFuOKfgHa14uzupqAkemIala/ziuMDd9JoV7KAl0upNp/fr1\nF5WNALj99ttbrAbmr0JMOq4cn0R66sVTtn2dWGje+5zawVRHf4ne8hHGuhVordu6fAxZMmANuJ6G\noJ+L/v8+qv7A2aGho9o+/7delUpZdQMBBs/cE+j0UVtLAOe89NJLbglGSWqVikVXDPH5euOtcTY0\n0HjqJJrQMPQJCUqH03dIKqyBmVgDM1HbDmGoX4nWugONPQupjZXJXKoIHLp0bIbLaQy8GVnd9t+V\n0PvV7dsLKhWBI9LafE1YkN5j9wOgC0mgPQMHDnTHYYRushcXUfDCc4RePpPom5YoHU6f5NSNpF53\ndplP2YHafgS1Ix9JbiA4xER1rYRTm4pLk6RsoILPsFeUY805TcDIUagDWy8T7nS5sNqcGPUaj80k\nFquQnOernXlknanirquHYTL6T/+6Lj4BJAlrfsfLbwpeIGlw6tJw6s5+uwsLwu7wr6tLwfO0EZEk\nP/MXZGvb1YuLKiz87xs7mDk2kZtmeaYsjEgC5ymrbuDAiXLKqhv8Kgmo9Hq00dFY8/NbLNEpCIJv\n00VFt7u98uxN4RCTZ9YSAFE7qIX4qKZLsoIy/yodAaBPTMJlqcdRVal0KIIgdMBaUIDlyGFkV/ur\nGZ6btxQe5JmRQSCSQAsJkWeTQLn/1eHRJzb1NYsuIUHwfVXr15L//F9oOHG83dcVnK1lFhfpuVLi\nIgmcpzkJ+OOVQFI/AGz5rc86FATBN7isVmp37UQTHoFxcPsVYvNK65AkiI/w3PrS4p7AeQIMWiJD\nDM3Z158EpA4j+em/oI2MVDoUQRDaUbdvL7K1keCZs9qcIAZNs4nzy+qIDQ9Ap/XcXCCRBC4wcWQc\n5dUWnC4X6nZOkK9RGQzoDJ7rNxQEwT3MW38AIHjS5HZfJ8twx9zhuDy82qFIAhe45/pRfjdZ7BzZ\n4aAx9wy6mFiIClI6HEEQLmCvqsKSdQjDwIHoYuPafa1KJTE2JcrjMfnPV12hQ1Vfryfv6T9gyTqk\ndCiCILTCXlKMOjiE4KkdrxnsrfXORRK4QJ3FxkebTrJxn7KLi3fHuTWGLcePKRyJIAitCUgdxsA/\nP0fI5Kkdvva1NVn8ZsU26hs9Wx1YJIELaNQqvth6hq2HipUOpcsM/ZORtFoaRBIQBJ8laTRImo57\n4s+U1GGutxGg92yvvUgCFzDoNSREmThdVIvd0f5EDl8jaTQYBgzEVpCPo87/RjgJQm8lu1zk/+2v\nVK1f16nXW21OSistJEaZPF4BQCSBVgxNCsHhdJFTbFY6lC4zDhkKsoz5yBGlQxEE4SzL4UNYDmfR\nmHemU68/WViDDAyIC/ZsYIgk0KqhSU2LPR/P97/F2wOGDQeg5lCWwpEIgnBO1VfrAQibeWWnXp+d\nWw3A0H4XLzzvbiIJtGJIYtMP/lhetcKRdJ1x8BCSHn+C5FtESWlB8AXWggIsWYcwDk3B0D+5U/tk\n51UjAUMTQzwaG4h5Aq0KC9IzODGEUA9W7vMUSaPBOGiwWG1MEHxE9TdnrwJmde4qAGDm2ESGJ4cR\nYPB8NWORBNrwP0vGKh1Ct8myjCU/n8aiSgzJA5QORxD6LIfZjHnrFrRRUQSOzuj0fuNS2y8x7U4i\nCfRCzrpa9v5iGcaUVJIeeUzpcAShz1IHBRH38/vA6Wy3TtD5XLKMyotrgogk0AaH08VXu/KQkLhq\nQj+lw+kSTVAwpiGDqTtxHKfFgjrAc2VoBUFomyRJmEald2mfv/97P1a7k0cWZ6BRe/62rbgx3Aa1\nSmLdjjzW7cz12vRtdwofPw6cTur371U6FEHok8xbt2Cv7NoiT3aHi+y8ahqsTq8kABBJoE2SJDE8\nOYyaOhu5Jf63yEzk1CkAmLdvVzgSQeh7bCXFFL/1OoUv/aNLXyJPF5mxO1ykemFo6DkiCbQjfXBT\nbf69x8sUjqTrjAnx6PsnYzl8CEet/016EwR/VrHmU3C5CJ97TZdm/O47UQ7A8AHhngrtIiIJtCNt\nYARqlcS+4+VKh9ItwRMmImk0WM90bpaiIAg9Zy3Ip3bHNvRJ/TCN6fwoQ1mW2XOsDL1WzYjkMA9G\n2JK4MdwOo17DsP5hHDpdSXlNA5EhRqVD6pKQS6cTcul0VAb/ilsQ/FnFp5+ALBNx3fWdHhEEUFhe\nT2lVA+NSotBqvDfPRySBDpwbr9todSocSdeJD39B8K7GnBzq9uzGMHAQgWmju7RvaJCeW2anEBPu\n3dF8Igl04NLR8Vw6Ol7pMLrNZbdTu2M7kkoieNIUpcMRhF5NHWQiMD2DsCtmdbn6Z6BBy2UZCR6K\nrG0iCfRyssNB6fsrUQcGEjRhUpcuTwVB6BptRCQJ9y/r8n5WmxOVCq92A52jaBKw2+089thjFBYW\nolareeaZZ0hKSmrxmqlTpzJgwI+lD95++23UXq6Lk19ax5otOUwcHsOYoZ5f89Od1EYjwRMnU7Np\nA/UH9mNK7/zUdUEQOsdpqceal0dASmq39v/uQCEfbTrFfdeNZOTACDdH1z5Fvxb+97//JTg4mH/9\n618sXbqU559/vsV2WZaJjo5m5cqVzf+8nQCgaRr3rqOl7DhS4vX3dofQyy4HoHrjtwpHIgi9U8V/\nPiH/r89Su2d3t/bfe7wcq91JQpTJzZF1TNEksHXrVmbNmgU0fePfvbvlD9BiseB0Kn9DNinaRHSY\nkX3Hy7E0OpQOp8v0SUkYBg/BcuggttJSpcMRhF7FmpdL9YZv0MbEEJg2qsv7my02snOrGRgfTFiQ\n3gMRtk/R7qDy8nLCw5smRajValQqFTabDZ2uqYSzxWKhoqKCBx98kNLSUubOncstt9zS7jHDwgLQ\n9LBfLSoq6KLnrpzYn/e+PMrRghpmT0zu0fG95fx2yD+Zy/EX/oF95w8k3Nb+z9CXtHYu/FFvaEdv\naAO4tx2yLHPw+fdBlhnys6WExXd9ktcPm07ikmUuH9+v07G5sw1eSwKrVq1i1apVLZ7bv39/i8ey\nLLe4o240Glm2bBnz5s3DbrezZMkSxowZw8iRI9t8n6oqS4/ijIoKoqys9qLn0weE80/gyy2nGTPI\nu3123XFhO+ShIwkYNhxnREyr7fNFbZ0Lf9Mb2tEb2gDub4d5yw/UHjmKacxYHEmDu3xsWZZZu+U0\napVEWv/QTu3fnTa0lzS8lgQyMzPJzMxs8dxjjz1GWVkZqamp2O12ZFlGq/1xEQWTydS8j06nY9Kk\nSWRnZ7ebBDwlPNjA8AHhZJ2upKiinriIQK/H0BMqrZbEh3+tdBiC0Gs4LRbKVn+IpNMRtfCmbh0j\nv6yegvJ6xqVGExSgzCJWit4TmDJlCmvXrgVgw4YNTJgwocX27OxsHn30UWRZxuFwsGfPHoYMGaJE\nqADMGpfItVOSvbLajyc56+uRHf53b0MQfIlKpyNk+gwifjIfbUT3egeSok387o5LmDcl2b3BdYGi\n9wTmzp3Lli1bWLx4MTqdjmeffRaA5cuXM378eDIyMggNDSUzMxOVSsWMGTMYNarrN17cZdSgSEYN\nilTs/d2h7sA+ipe/StTCxYRMm650OILgtySNhsh51/X4OEnR3h8RdD5Fk8C5uQEXuvvuu5v///jj\nj3szpE5xyTKWRgcmo/9dEeiT+iM7HFR++QXBk6eKtYgFoYsctWbMW34gbOaVPfr7OVlQgyRJDIgL\n6vLsYncS00e7qKbexq9f2cI7a48qHUq3aMPCCJ48FXtpCbW7dyodjiD4FVmWKX33HcpXfUjtjm09\nOtbqjSf547u7qDA3uim67hFJoIuCA7QY9Rr2HS/HXG9TOpxuCZszFySJyv+uQXa5lA5HEPxG7bYt\n1O3djXFoCkETJnX7OCVVFrLzqkntF6p4dWKRBLpIkiQuS0/A6ZL5dk++0uF0iy4qmuAp07AVFmLe\n8r3S4QiCX7BXVlD6/ntIegOxt9/VozpcG/YUADDNB4pTiiTQDVPT4gg0aPh2TwFWu/IzmrsjYt51\nSDodDSdPKB2KIPg82eWi5K03cTU0EL1wMdqo7tcQszTa2bS/kFCTjvFnS9UrSSSBbtDr1MwYk0hd\ng50tB4uUDqdbtGFhJP/haWJvvUPpUATB5zUcy8ZyJIvAUaMJnnZpj461YW8BVpuTWeOTvLaYfHuU\nj8BPXTE2EY1aYq+fLj0JTWVvzxH3BgShbQGpw4i9+2fE3HJ7j0fyqFQS4cF6po/2/toBrRHrCXRT\nSKCO3/x0nOJjfHvKWVfXtN5AUDDRi29WOhxB8CmuxkYkvR5Jkgi+ZKJbjjlnQn+uHJ+E2kfW9vCN\nKPxU/9ggVCrlxve6g8pgoPH0aao3fos1P0/pcATBZ8hOJwUvvkDRa6/gsvd8JKBLlnHJMoDPJAAQ\nSaDHzPU2Ptp0kpMFNUqH0i2SRkPU4pvB6aRk5TuiW0gQzir/eBUNx7LB5UTS9Hxi6P4T5Tz5+nay\nc6vcEJ37iCTQQ8WVFj7feoYvtp1ROpRuM40ajWnsOBpPnqDmu81KhyMIiqvdvZOqdWvRxsQSc/td\nbpnRu3Z7LkUVFgJ9rNKASAI9NCQxhAFxwew7Xk5eaZ3S4XRb9OKbURkMlH/0bxxms9LhCIJibEWF\nlLz1BpJOR/y9D6A29nwy1/H8ao7n1zBqUASJCqwe1h6RBHpIkiTmTR2ADHy06aTS4XSbJjSMiOtu\nQLbZaBRzB4Q+ymW3UfjKS7gaG4m57Q70CT0fwSPLMh9tbPpsuHpS/x4fz93E6CA3SBsYTkpSKAdO\nVnAsr5qhSaFKh9QtoTOuwDQqvUcTYQTBn6m0OkKmTcdeWem20UAHTlZwLL+G9MGRDEn0vc8GcSXg\nBpIkseCyQUBTUSj57AgAfyOpVM0JwGW34bT0bJU2QfAXsiw3/92GzZpN1I2L3HbszfsLkSS4fvpA\ntx3TncSVgJsMSghh/rQBpA2MULQsrDs4qqvJf+E5dHFxxN1zr9+3RxA6UvHpxzjNtUTf/FMktdqt\nv/M/nz+S43nVPncv4BxxJeBG104ZwIC4YKXD6DF1cDAqo5G6XTup3bZF6XAEwaOqN2+k8r+fYTmS\nhcsDV78atYphyV1fgN5bRBLwgPyyOg7nVCodRrdJKhVxd96NpDdQ+v572Cv8tzSGILSn7sB+St97\nF5XJRMKyh1EHtb0ge1dt2FvAp9+fxmrz7SKTIgm4maXRwR/f3cWbXxzB7vDtk98ebVQU0YtvxtXQ\nQPEbK5Cd/tsWQWhNY04ORa/9PyS1moQHHkIXG+u2Y1saHXy86STrd+Zhd/r2BEyRBNwswKDh8oxE\nKs1Wvt7ln+sNnBM8ZSqmseNoOJZN+ScfKR2OILiNo9ZMwYt/Q7bZiLv7ZxgHDXbr8b/cfob6Rgdz\nJ/bz+WVoRRLwgLmT+mMyavn0h9NU1Ci7dFxPSJJEzK13YBwylMBRo5UORxDcRm0KImTqpUTftART\nxli3Hruoop6123MJC9Izc1ySW4/tCSIJeIDJqGXh5YOx2V28//UxpcPpEXVAAIm/fpyAoSlKhyII\nPWY3m5FlGUmSiLx+AaEzrnDr8WVZ5t212ThdMjfNHIpe2/2F6L1FJAEPmTwylpSkUPYeL2fv8TKl\nw+mRc8PlHNVVFL+xAmdDg8IRCULX2UqK2bfsYSr+87HH3uNYXjXZedWkD45kzNDIjnfwAWKegIdI\nksQtV6Xw1c48n5wl2B01mzdh3voDzsYG4n9+f4/WWBUEb7KVlJD/3J9xVFWhDgz02Puk9AvjV4vS\niQ4z+s38GvFX7EFxEYHcclWqz98Y6qzwq3+CMXUY9Xv3UL7qQ6XDEYROaUoAz+KoqiL59lsJu/Iq\nj77f8ORwIkN6XnTOW0QS8AJZltl2uJjcklqlQ+kRSa0m/mf3oYuLp+qrdVR9tU7pkAShXbaS4uYr\ngMgFN5Iw/1qPvM+xvGr+76MDVJr9byCISAJecLqoluVrDvPO2mxcLv+sK3SO2mQi4aGHUYeEUvbv\nD6jdtUPpkAShTTWbN+KoqiTyhkzCr5rrkfdwOF28uy6bfcfLqaqzeuQ9PEkkAS8YGB/MJcOiOV1k\n5ts9/j13AEAbEUHiQ79EHRKCyuA/l71C3xN5fSbxD/6C8DlXe+w9vtx2hsLyeqZnJDAoPsRj7+Mp\nIgl4yeIrhhBo0LBq40kKyuuVDqfH9En9GPDMXwgcmaZ0KILQQs33m6n6+iugqQvT5ME5LqcKzaz5\nIYdQk44bfLRKaEdEEvCSEJOe2+YMw+5wsXxNFnaHb08l7wyVVgeA02Kh4P/+jjVPLFQvKEeWZSo+\n+5SSt9+k8vM1OC2e/bLVaHOw/LMsXC6ZpdcMJ9DgnwNARBLworEpUVw6Op680jq+P1ikdDhuYzl6\nhPr9+8h//i9Y80UiELxPdjopXfk2FZ9+giYykqRH/wd1gOeGggLkltRRU2dj9oR+Pl0ltCMiCXjZ\n4iuGcOtVKUxPj1c6FLcJGjOW6Ftuw1lXS/5zf8Fa4P/3PQT/4bRYKHz5RWo2b0Kf1I9+jz2BLjbO\n4+87NCmU3915Cddf6p/dQOeIJOBlep2a6ekJqM5OJPH30ULnhF56GdE/PZcI/oy1oEDpkIQ+omrt\nF9Qf2E/A8BEk/vpxNKGenZxZU2+j0eYAIDrUiEbt3x+jYsawQhxOFy99fJBjedVYbU4SogK5elIy\nE4bHKB1at4VOvwxkF6XvvUv+3/7KgKf/jEqvVzosoZcLv+Za1EFBhF4+E0nt2Vo9LlnmtU8PUVlr\n5fElYwkJ1Hn0/bxBJAGF7DpayoGTFc2P88vqeW1NFoB/J4LLLkfSaJDUGpEABI+QnU7KP16FLiaO\nkEuno9LpCJs12yvvvW5HLkdzm2oDBQf4543gC/n3dYwf+2LbmVaf/3xr68/7k5CplxI8aTLQtGB9\n3b69Ckck9BaOWjP5LzxH1bq1VH37tVcXO8rOreLjTacICdRx29xUv6kN1BFxJaCQwvLW1zItqvD/\nOQTnK33/PczfbSZi3nWEX3Ntr/nDEbyv4dRJil59GUdlJYHpGcTesdTj3T/nVNQ08v/+cwiAn80b\nQXCA/3cDnSOSgELiIwPIL7v4Az82PECBaDwnfPYcLIezqPj0E+xlpUT/9Nbm+QWC0Bmyy0Xl559R\n8dmnIMtEXHcD4XOu9loVW1mWeXXNIWotdpZcOZSUfmFeeV9vEd1BCrl6UnKrz4eYetcHpC42jn6P\nP4k+eQDmLT+Q9+dnsFdUdLyjIJwjSTSeyUETGkriLx8h4uqfeLWMuSRJLL5iKFdP6s+MjASvva+3\niCSgkAnDY7jn2hEkRplQqyTiIwMJD9ZzOKeKjXt71/BKTWgoSY8+TvCUaVhzTpP79O9xNYqFaYS2\nybKM5egRoOlDOPa2O+n/1B8IGDbcq3G45KYh3APjg7lh+qBe2Z0puoMUNGF4TIuRQOXVDfz+nV1U\n1vpfOdqOqLQ6Ym67A0PyAGS7XRSeE9rkqK6m+O03sRw6QPz9yzClZ6A2mbwex4GTFXz6/SnunZ9G\nRIjB6+/vLYpfCezYsYNJkyaxYcOGVrevWbOGG264gczMTFavXu3l6LwrMtTIn5ZO4PpLBykdikdI\nkkTojMsJu7JpOJ/scFD20SqcdXUKRyb4AlmWMW/fRs5TT2A5dICAESPR909WJJbiSguvrckir7Qe\ns8WmSAzeouiVQG5uLm+99RZjx45tdbvFYuHll19m9erVaLVa5s+fz8yZMwn18IxAJQWdHXXgkmU2\n7Stk4vAYjPreecFW88N3VH35OeYtPxB7+52iImkfZisqpOSfK2k4egRJpyP6piWEzLhCke4Xs8XG\nP1YfoMHq4K5rhjEgLtjrMXiTolcCUVFRvPTSS5jauNTbv38/aWlpBAUFYTAYGDduHHv27PFylMr4\n/kARK9dl838fHcDu8N5YaG8KmTadyOsX4KyrpeDvz1P6r3/isvXub11C62r37Kbh6BEC00bR/3d/\nbJr9q0ACaLA6eOHf+ymptDBnYj8mj/R8DSKlKfoV02hsv1+4vLyc8PAfq/NFRkZSVlbm6bB8wpS0\nWA6erGD3sTJe/TSLe68bibqXLewuqVSEz72GgBEjKX59OdXffIXlSBaxd92DoV9/pcMTPKw+VHgd\nswAAHaBJREFU6xABKalIGg1hV16FPqkfgWmjFLv5Kssyr36axZniWqaNimPB9N7ZLXshryWBVatW\nsWrVqhbPPfDAA0ybNq3NfWRZvuhxR78gYWEBaDQ9m0ASFRXUo/3d5Td3TuB3r29j7/FyPthwkgdv\nzECl6vwfiK+0o0NRacSnPceZd96j6PMvMEl2ws7G7jdt6EBvaIe72tBYUsLp19+icsdO+v/0ZhIX\nXN+0IX6qW47fkfbasXBWCpG7clm2MAO1DxeGc+fvk9eSQGZmJpmZmV3aJyYmho0bNzY/Li0tJT09\nvd19qqpan4nbWVFRQZSV+c6C8HdfM5znPtjLNzvzUAMLLx/cqW9KvtaOzgi67kZ04ybhSEqirKyW\nYJWNgp37MY0Z59dD8/zxXFzIHW1w1NRQ+fkaqjdtBKcT49AUGDLcqz+b1tohyzIOpwutRk18mIGf\nzhpKZaXvztzvzrloL2n4bqoDRo8ezcGDBzGbzdTX17Nnzx7GjRundFheZdRr+MWN6cRFBGB3uOgd\nhafbpk9Kav5/ztvvUvTKyxS++AL2PtIN2FtVb9rI6f/5NdXffoM2PILYu39G4iOPoY9XfvLV6k0n\n+esH+6hvtCsdiiIUvSewceNG3njjDU6dOkVWVhYrV67kzTffZPny5YwfP56MjAwefvhh7rzzTiRJ\n4r777iMoyP8vq7vKZNTym5+OxajX+PU34q7qt2ghlrJK6g8eIOd//4fQmVcSPmeux1eMEtxDdrma\nZ/ZqwsJQGQxEZC4kZOqlSBrfGPG2dnsuX27LJSY8AKezt3/Fap0kX9jx7ud6emnpD5fua7fnEhSg\nZUpa2yMX/KEdHYmKCqK01Eztjm2Ur/43jqoqVAGBxC29h8C0UUqH12m95Vx0tg0umw3zD99TtX4t\niY88hjY8HFmWmyYJ6pQti3J+O9bvzOODb44TFqTn8SVjiAzxjwmM7u4O8o10LHRadZ2Vz7fmUN/o\nwOZw9cpaJueTJIngCZMwZYyl+puvqfpqLbq4H5Pf+d82BWU5as3UbPiW6m+/wVlXi6TT0ZhzGm14\nOJIkISmcAM732ZYcPtl8ihCTjl8tSvebBOAJIgn4mVCTnkcWZ/D8h/tYuS6bRpuDORN6/3BKlU5H\n+Jy5hM26srkrof5wFqXvryR89hyCJk5Gpe0di3z4G1mWKfvXe9R8t7np235AIOFzryH0iploQnxv\nYmd+WR3/+e4UEcEGHlmcTnRY76rc21UiCfihfjFBPHbzGJ77YB+rNpyk0epk/rQBfeJ+wfl9ydbc\nM9jLyih55y3K//MJYTNnETL9MnHPwAtkWUa2NqIyGJEkCYe5FnVICGEzZxMydRoqg+/W2kmMMvHz\neSMZEBfcq2sCdZa4J3ABf+q/La9u4K8f7KWsupGlPxnOpBGxzdv8qR1t6Uwb7FVVVH+9nppNG3A1\nNqIyGAifew3hc6/xUpQd603nwlFTg3nbFszff4cmPJzEX/wKAGddHSqj0WuLvHSVyyWzYW8BN8xM\nobrKd4d/doa4JyA0iww18tjNY1m3I5fxqdFKh6MIbVgYUZkLCb/6J9Rs2kjV1+tbbLcWFqCLjvGZ\n0Sj+SHY6qdyxk4Iv1lN/YD84nUgaDfrERFx2OyqtVpEqn53ldLl44/MjbMsqweaSmTM+qeOd+hDx\nl+HnwoL0LLpiSPPjIzmVDEnyvX5YT1MHBBA+Zy6hM2eBywU0fXjlP/8XcMkET55MyNRL0cXFKxyp\n/6netIGy998DQN+vP8FTpxF8yUSf/uA/x2p3snxNFnuPlzMoIZjrZwyhoa73lWrvCZEEepFDpyp4\n4d/7Se0fxpN3TVQ6HEWcf3PYZbMRNH4C5m1bmhYmX7cWw8BBmMaOI3jCJDS9uBptd8hOJw3Hj1G3\ndw+WI4fp9+RTqLRagsZfgqamEu3YCX5V06mq1sqLHx3gTHEtw/qH8cANaZiMWpEELiCSQC8yJDGU\njKFR7DlWxsP/2Mz9140kLqLv3iRVG41EL7qJyBsyqd+3l5rvN2M5nEXjqZMYBgxsTgK2okK0sXF9\n4sb6hVw2G5asQ9Tt3UPdgX24zq7toDIasRcXoU/qhyYomIF33+lX9zUabQ7+tHIXlWYrU0fFccvs\nFDQ+XAtISSIJ9CJ6nZp7rxvJJ5tP8fnWM/zx3d3cO38kIwaEd7xzL3bu22zQ+Etw1JqpP7Af4+Cm\nLjRbSQk5T/4P2qgoAoaNwJiaSkBKqk8ObXQHl9VKw4njBAwbjqRSYS8ro/DlFwFQh4YSMuNyTOlj\nmqt7+iuDTsMVYxMBuOqSfn0ywXeWGB10gd4wkgPgUG41L364F5cLHrpxFCMHRCgdUpd541xYCwup\n/Ow/1B88gKvxx24CXWwccffejz4+obmabXc/SJT6nZJlGWdNNY25uTSeOI4l+yiNOafB6aTfk09h\n6J+MLMtUfvYpASPTMCQPaHPinT/8XciyzM6jpYxLiW6z2q4/tKMjYnSQ0CkzxiZhUEt8ue0MKX3w\nRnFn6ePjibvnXmSnk8YzZ2jIPtL0YXnqJNqza1k4qqvJ/d3/ok/qh75fEvp+/dEn9UMXE+szQyJl\nhwNbcRHW/DyCLpmIpFJhzcsl9/e//fFFKhWG/skYU1JRBTRNkJIkiYhr5ysUtfs4nC7eXZvN9weL\nuHZKPfOnDVQ6JL8hkkAvNjghhAdu+LHGzoGT5QyMD8FkFDNrLySp1RgHDsQ4cCDhc65uUY7CWVOD\nymjAciQLy5GsH/fRaEj81aPNXUtV69ehDg1BGxGJJjwCdUCAW0olnJuY5WpsRBMaBkBj7hmqv/ka\ne0U5jopy7JWV4Gxagc4wYBC6mBh0cXGYMsaiT0rCMHAgxsFDUBl6X3mEqlorr316iGP5NSTHBjE9\nvXeXUnE3kQT6iLzSOv7vo4OEmvTcM28EgxNClA7Jp53fLWJITmbAM3/FabFgzc/DmpeLNTcXa35e\n870DV2MjZf/+18UHUqtx3nk7mkuaFkwpW/UB9tIyuKC3wjCgKfkAVH/7NTXfbcbZYMFlacDVYAFZ\nRmUyMfjvLzW9X3095h++a3qLkBAM/ZPRxSeg79cPVUDTB71KqyP+vgfc+nPxNQdPVbDis8PUNdgZ\nlxLFndcMR6/1jaszfyGSQB+REBXINZOTWfPDaZ59bw/zpw1g7sT+XVqprK9TBwQQMDSFgKEprWxU\nE//AQ03fzMvLcVRX4bRYcFksaMNCm9eBsBw+jDUv96Ld5bNzGwCc9fXYy0pRBQSgCQtDnZCAymhE\nFRjYfIViGDiI5D8+iyYiHJXWdwqzeVNBeT1///d+1GqJm2YO4YqxieIGcDeIG8MX6A03jqDtdmTn\nVrH8s8NU1VoZ1j+MpT8ZTqhJr0CEHeuN58JltyFbbRe/SK1GfXbN7c4so+ptvnouPt+aw8gBEfSP\n7dw6I77ajq7oUyuLCe6X0i+M391xCemDIzlypoo1359WOqQ+RaXVoTaZLv5n/LGv3tcSgC/Zc6yM\nNz8/0jxi6+pJyZ1OAELrRHdQH2QyannghjS+O1DEuJQfaw65XLLoHhJ8kt3hYtWGE3y9Ox+tRsXs\nS5JIiPL9shX+QCSBPkqSJC4d/WMdne2HS1i3I5c7rx4m/rgEn3KioIa3vjhCUYWF+MhAfjZvhPgd\ndSORBAQAThbUkFNcy1Nv7eTqSf25elIyWo3oLRSU9fHmk3y+5QwyMGNMAjdeNhi9Toz+cSeRBAQA\nbpo1lOHJ4axcn82aH3LYebSUW69KZaiYaCYoKCzIQHR4ALfPEb+LniK+6gnN0odE8se7JnDF2ESK\nKyw8+889ZOdWKR2W0IfUNdj597cnsNqaJr5NT4/n93eMFwnAg8SVgNCCUa/h5llDmTg8hk37C5vX\nJhA3jQVPkmWZ3dllvPfVMcz1NoICtcyZ0B+VJKHSiO4fTxJJQGjVoIQQBp03q3j1ppOUVFpYdMUQ\nokJ7X+kBQTn5pXV8+O1xsnKq0KhVLLhsEFeK1b+8RiQBoUMul8yZ4lqOnKni4KkKrhibyDWTkwk0\niBpEQs+s3Z7Lqo0nkGUYMSCcm2YO6dNrYChBJAGhQyqVxMOL0tlxpISPN51i3Y48vj9QxDWTk7l8\nTKIYRSR0yfldi4MSgomPCOTGyweTNtD/yp33BuKvV+gUlSQxcXgsf1o6kRtnDEaW4cNvT1BYXq90\naIKfcMkyWw8V8/jyrRRXWoCm1fB+d+clIgEoSFwJCF2i1ai4akI/po6K49CpiuYp+wXl9dRZbKT0\nC1M4QsHXyLJMVk4lH286RU5xLRq1itNFZmLDm9Y0UIkyGYoSSUDoFpNRy8QRsc2PP/zmOIdOVzI8\nOYyrJ/YntX+YqIEjsO9EOWu+P01OcVPBs0uGRbNg+iAixeACnyGSgOAW86cNxOmSOZxTxeGcKgbE\nBTN3Yn8yhkaKb3p92P4T5eQU1zJ2aBTXTBbF3nyRSAKCWwyMD+aRxRmcKjTz5bYz7DlWxsufHOTG\nGYO5akI/pcMTvMDhdLH1UDFHzlSx9CfDkSSJn0xOZua4JBIixYgfXyWSgOBWA+ODue/6NArL61m3\nI5fJI5u6jFwume8PFjFhWIyo/dLLWBrt/HCwmHU7c6k0W9GoJX4yJZm4iEDCgw1Khyd0QCQBwSPi\nIwO5fe6w5se7j5Xx9pdHWbXhBJNGxHJpejyJohKkXzPX21i98SQ7jpRgc7jQaVTMGpfEVRP6ERbk\nmwsVCRcTSUDwitR+oVw7JZmN+wr5enc+X+/OZ1B8MJeOjmdyWixqlRit7A8arA5UkoRep8agU7P3\neBkhJh2XpScwZVQcwQF9c6lLfyaSgOAVQQE65k8byDWTk9l/opxN+wvJOlVJbYOdKaPigKY+ZY1a\nJANfdLqwho+/Pc7WrGJuuHQgM8clodOqeeKWcUSFGcXNfz8mkoDgVRq1irEp0YxNiaa8poFKs7X5\nA+TT709z6FQlU9JiGZsS3e66qILnlVRa2HG0lF1HS8krrQMgLEiPTvvjPZ2Ys2P9Bf8lkoCgmMgQ\nI5EhP44Xr7XYySut4/2vj/P+18dJ7R/GqIERjE2JEkXrvMTucDWXAXnvq2Nkna5ErZK4ZHgsE4dF\nkzYoXHTd9TIiCQg+47Y5qcyfNoDd2WXszi7lWG4VR89UUVhezx1XN91kbrA6MOrFr607lVRZ2HW0\nlJ1HSokJD+Dn80cCMPuSJCYOjyFjSCT9k8IpK6tVOFLBE8Rfk+BTQk16rhibyBVjE9EZdXy9LYeE\nqB/HmL+waj/1DXbSB0eS2j+MIYkhGHTi17irsnOr2HGklMM5lZRUNQCgVknEhAcgyzKSJDFygKjn\n0xeIvx7BZ4WY9Fw6Or75scslExKo40xxLV9uz+XL7bmoVRLJcUHMGpfEJcNiFIzWd9nsTo4X1NDQ\n6GBcajQAx/Kq2bC3AINOTfrgSMamRJExJJIAUR68zxFJQPAbKpXEfdelYbU5OZ5fzZHcKo6eqeZU\noZkGq6P5df/ecAKdRsWQpFD6RZsI6mPDFqvrrJwsMHOmxMzJAjPH82twOF2EB+sZmxKFJElMHhnH\nsORwBsQFiT7+Pk4kAcHv6HVqRg6MYOTZ8sMNVgfnRii6XDIb9xbQeHaNWmga0dIv2sSUtLjmb8K9\ngSzLVNQ0cqakFlmmuW1f78rni21nml+XFG1ieHIYw5PDkQEJiAgxEBEiZvMKPpAEduzYwbJly3j6\n6aeZMWPGRdunTp3KgAEDmh+//fbbqNWi7IDwo/NvFKtUEs/dO5nsvKYrhLzSOnJLatl/sqJFmevX\n1mRRYW4kKcpEZKiBiOCmD8XoUKNPXTnIsozd4Woelrk1q5is05WUVTdQVGGhrsEOQGJUYHMSSB8S\niVGvpn9sEMmxwZiMootHaJuiSSA3N5e33nqLsWPHtrpdlmWio6NZuXKllyMT/FmAQUvGkCgyhkQ1\nP2e22FpMaKqz2DhVYOZEfk2LfccOjeK+69MA2HKoiGN5NUSEGAgyajHo1QToNZiMOgbGBwNNVx5I\nXauJb3e4qG+0U99gJ8Skb/6Q/m5/IWU1jdQ32qkyWymrbqCsuoHJaXHcMjsFgBP5NWw5VIwkQVSI\nkdT+YSTHBjEgLrj5+IMTQhh83vrQgtAeRZNAVFQUL730Er/5zW9a3W6xWHA6na1uE4SuuLCcwcOL\nMrDZnRRXWqioaaTc3EhFTWOLekaHc6rYcqj4omNFBBv4672TAdh7vIz/98khDHo1Wo0aWZaR5abX\n/e9t44gMMVJnsXHv3zYh05Q07A5X87Fum5PafPP7mz355JbUNW8z6tXERgQQZvox9jkT+zH7kiTC\ngw1idrXgFoomAaOx/QlAFouFiooKHnzwQUpLS5k7dy633HJLu/uEhQWg0fSsu6i3zFTtDe3wdBsS\n4kPb3PaLm8Zyc5WF0qoG6hrsWM5+e9dr1c1xxVY1MHxgBPUNduwOJyDRdJ9VIjIiiKgwI5ZGO/GR\nJiRV0xVDoFGLyaglKEBH6sDI5mPduyAdlyxjMmqJDDViMmovWphHyXPaG36foHe0w51t8FoSWLVq\nFatWrWrx3AMPPMC0adPa3MdoNLJs2TLmzZuH3W5nyZIljBkzhpEjR7a5T1WVpUdxRkUF9YpJMb2h\nHb7QBqNaon/kxaURzsWVEGbk4RtHt76zw0FZWS1RUUE8cUvrXZ7nHys66Mdv/I31VhrrrT2I3L18\n4Vy4Q29oR3fa0F7S8FoSyMzMJDMzs0v7mEym5n10Oh2TJk0iOzu73SQgCIIgdJ5PdypmZ2fz6KOP\nIssyDoeDPXv2MGTIEKXDEgRB6DUUvSewceNG3njjDU6dOkVWVhYrV67kzTffZPny5YwfP56MjAxC\nQ0PJzMxEpVIxY8YMRo0apWTIgiAIvYoky+fGMvQOPe3v6w19htA72tEb2gC9ox29oQ3QO9rh7nsC\nPt0dJAiCIHiWSAKCIAh9mEgCgiAIfZhIAoIgCH2YSAKCIAh9mEgCgiAIfZhIAoIgCH2YSAKCIAh9\nmEgCgiAIfVivmzEsCIIgdJ64EhAEQejDRBIQBEHow0QSEARB6MNEEhAEQejDRBIQBEHow0QSEARB\n6MNEEgB27NjBpEmT2LBhQ6vbp06dyk9/+tPmf06n08sRdqyjNqxZs4YbbriBzMxMVq9e7eXoOsdu\nt/Pwww+zePFilixZQl5e3kWv8eVz8fTTT7Nw4UIWLVrEgQMHWmzbsmULCxYsYOHChbz88ssKRdg5\n7bVj/vz5LX7+JSUlCkXZsWPHjjFz5kzee++9i7b5y/lorw1uOxdyH3fmzBn5Zz/7mXzffffJ3377\n7UXbXS6XfN111ykQWed11Ib6+nr5yiuvlM1ms9zQ0CDPnj1brqqqUiDS9n388cfyU089JcuyLG/c\nuFFetmxZi+2+fC62b98u33333bIsy/Lx48flBQsWtNg+Z84cubCwUHY6nfLChQvl48ePKxFmhzpq\nx7x585QIq8vq6+vlJUuWyE888YS8cuXKi7b7w/noqA3uOhd9/kogKiqKl156CZPJ1Op2i8XiU982\nW9NRG/bv309aWhpBQUEYDAbGjRvHnj17vBxlx7Zu3cqsWbOApm/8u3fvbrHdl8/F1q1bmTlzJgCD\nBw/GbDZTV1cHQF5eHiEhIcTFxaFSqZg+fTpbt25VMtw2tdcOgPr6eqVC6xKdTseKFSuIjo6+aJu/\nnI/22gDuOxd9PgkYjUbUanWb2y0WCxUVFTz44IMsWrSId99914vRdU5HbSgvLyc8PLz5cWRkJGVl\nZd4IrUvOj1OtVqNSqbDZbM3bfflclJeXExYW1vw4IiKi+WdcVlbmFz9/aL8dANXV1Tz88MMsWrSI\nF154AdlHCw5oNBoMBkOr2/zlfLTXBnDfudB0N0B/tGrVKlatWtXiuQceeIBp06a1uY/RaGTZsmXM\nmzcPu93OkiVLGDNmDCNHjvR0uK3qThsu/OWQZRlJkjwSX2e11o79+/e3eHxhnL52Ls7X3s+4tT9O\npX/+benod+UXv/gF1157LXq9nnvvvZf169cze/Zsb4fZI/50PtrjrnPRp5JAZmYmmZmZXdrHZDI1\n76PT6Zg0aRLZ2dmKffB0pw0xMTFs3Lix+XFpaSnp6elujqxrWmvHY489RllZGampqdjtdmRZRqvV\nNm/3tXNxvpiYGMrLy5sfl5aWEhkZ2eq2kpISoqKivB5jZ7TXDoCbbrqp+f+XXXYZ2dnZfpcE/Ol8\ntMdd56LPdwd1JDs7m0cffRRZlnE4HOzZs4chQ4YoHVaXjB49moMHD2I2m6mvr2fPnj2MGzdO6bAu\nMmXKFNauXQvAhg0bmDBhQovtvnwupkyZwrp16wA4fPgw0dHRzfdoEhMTqaurIz8/H4fDwYYNG5gy\nZYqS4bapvXZUVlaydOlS7HY7ADt37vSZn39X+NP5aIs7z0WfryK6ceNG3njjDU6dOkV4eDhRUVG8\n+eabLF++nPHjx5ORkcEzzzzD7t27UalUzJgxg5///OdKh91CZ9qwdu1a3njjDSRJYsmSJVx77bVK\nh30Rp9PJE088QU5ODjqdjmeffZa4uDi/ORfPPfccu3btQpIkfvvb33L48GGCgoKYNWsWO3fu5Lnn\nngPgyiuv5M4771Q42ra1147XX3+dL774Ap1Ox/Dhw3niiSdQqXzvu+ShQ4f485//TEFBARqNhpiY\nGC6//HISExP95nx01AZ3nYs+nwQEQRD6Mt9L4YIgCILXiCQgCILQh4kkIAiC0IeJJCAIgtCHiSQg\nCILgB9orJne+F154gUWLFrFw4UJWrFjR4XH71GQxQRAEf2SxWPjDH/7ApEmT2n3dsWPH2L59Ox98\n8AEul4urr76a+fPntzsZTlwJCIIg+LjWismdOHGCW265hVtvvZV7770Xs9lMUFAQVqsVm82G1WpF\npVJhNBrbPbZIAoLQQ06nk6VLl7J37162b9/O4sWLu3WcP/3pTxfVUxIEaL2Y3B/+8Ad+//vf8847\n7zBlyhT++c9/EhcXx1VXXcWMGTOYMWMGixYtarO6cPOxPRm4IPQFb731FqmpqWRkZLB9+/ZuH+eR\nRx7h2muvZcqUKcTHx7sxQqE3OnDgAE8++SQANpuNtLQ08vLy+Oqrr/j6669xOBwsWrSIuXPnEhER\n0eZxRBIQhHY8/vjjJCQkcP/995OTk8M999zD3/72N0aMGAGAw+HgjTfe4L///e9F+x49epRHHnmE\nFStWcObMGV599VViY2M5ePAgo0ePJiUlha+++orq6mpWrFhBbGwsixYt4q233uI3v/mNt5sq+Bmj\n0ci7777bogLqF198wejRo5u7gFJSUjh27Fi79xJEd5AgtOOhhx7iX//6F4cPH+bee+/lT3/6U3MC\nADh48CDx8fEXfdMqLi7m0Ucf5e9//zuxsbFA0ze3Rx99lNWrV/PZZ58RHBzMypUrGTFiRHPRtilT\npvDdd995r4GC30pNTWXz5s0AfP7552zdupV+/fpx6NAhXC4XdrudY8eOkZSU1O5xxJWAILQjJiaG\n+fPnc/PNN/Piiy9eVH21qKiIuLi4Fs/V19ezdOlSli1bxqBBg5qfHzRoEKGhoQCEhoaSkZHR/B61\ntbUAxMfHU1BQ4MkmCX7owmJy69at46GHHuL5559nxYoV6PV6nn/+eUJDQ5kyZQo33XQTsiyzYMEC\nEhMT2z22SAKC0I6Kigo2b96M0Wi86MP+nAsXJCkoKGDBggW88847XH755c2VHS9c/e38x+fqOPrj\n4iaC540cOZKVK1de9Pz7779/0XMPPvggDz74YKePLbqDBKENZrOZpUuXcv/99/PAAw80lx4+X1xc\nHIWFhS2eGzp0KI8//jgxMTG88sorXXrPgoICEhISehS3IHSFSAKC0IqGhgbuueceFi9ezOzZs8nM\nzCQnJ4dt27a1eF1aWhpFRUVUVlZedIynnnqKNWvWsGfPnk6/75YtW9pdKlQQ3E2sJyAIPfT6669j\nNpv55S9/2aPj2Gw25s2bx+uvvy6uBgSvEVcCgtBDt99+O0eOHGHv3r09Os5zzz3HHXfcIRKA4FXi\nSkAQBKEPE1cCgiAIfZhIAoIgCH2YSAKCIAh9mEgCgiAIfZhIAoIgCH2YSAKCIAh9mEgCgiAIfZhI\nAoIgCH3Y/wc/+eCuGk+avAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9c69bee7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = OrbitPlotter()\n",
    "op.plot(earth_orbit, label='Earth')\n",
    "la, lb = op.plot(apophis_orbit, label='Apophis')\n",
    "\n",
    "la.set_color(\"C2\")\n",
    "lb.set_color(\"C2\")\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig(\"neos.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from astropy import time\n",
    "from poliastro.bodies import Mars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "    date_launch = time.Time('2011-11-26 15:02', scale='utc')\n",
    "    date_arrival = time.Time('2012-08-06 05:17', scale='utc')\n",
    "    tof = date_arrival - date_launch\n",
    "\n",
    "    ss0 = Orbit.from_body_ephem(Earth, date_launch)\n",
    "    ssf = Orbit.from_body_ephem(Mars, date_arrival)\n",
    "\n",
    "    from poliastro import iod\n",
    "    (v0, v), = iod.lambert(Sun.k, ss0.r, ssf.r, tof)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$[-29.291223,~14.532568,~5.4159321] \\; \\mathrm{\\frac{km}{s}}$"
      ],
      "text/plain": [
       "<Quantity [-29.29122325, 14.53256824,  5.41593207] km / s>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$[17.615804,~-10.998605,~-4.2076386] \\; \\mathrm{\\frac{km}{s}}$"
      ],
      "text/plain": [
       "<Quantity [ 17.61580401,-10.99860504, -4.20763857] km / s>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
