{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Going to Jupiter with Python using Jupyter and poliastro"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import astropy.units as u\n",
    "from astropy.time import Time\n",
    "from astropy.coordinates import solar_system_ephemeris\n",
    "\n",
    "from poliastro.bodies import Sun\n",
    "from poliastro.twobody import Orbit\n",
    "from poliastro.maneuver import Maneuver\n",
    "\n",
    "from poliastro.iod import izzo\n",
    "from poliastro.ephem import get_body_ephem\n",
    "\n",
    "from poliastro.plotting import plot, OrbitPlotter\n",
    "\n",
    "from poliastro.util import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<ScienceState solar_system_ephemeris: 'jpl'>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solar_system_ephemeris.set(\"jpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## Initial data\n",
    "# Links and sources: https://github.com/poliastro/poliastro/wiki/EuroPython:-Per-Python-ad-Astra\n",
    "date_launch = Time(\"2011-08-05 16:25\", scale='utc')\n",
    "C_3 = 31.1 * u.km**2 / u.s**2\n",
    "date_flyby = Time(\"2013-10-09 19:21\", scale='utc')\n",
    "date_arrival = Time(\"2016-07-05 03:18\", scale='utc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "r_e0, v_e0 = get_body_ephem(\"earth\", date_launch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$[1.0246553 \\times 10^{8},~-1.023135 \\times 10^{8},~-44353346] \\; \\mathrm{km}$"
      ],
      "text/plain": [
       "<Quantity [  1.02465527e+08, -1.02313505e+08, -4.43533465e+07] km>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r_e0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$[1847708.5,~1594323.4,~691089.12] \\; \\mathrm{\\frac{km}{d}}$"
      ],
      "text/plain": [
       "<Quantity [ 1847708.49619718, 1594323.36225826,  691089.12249534] km / d>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v_e0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial state of the Earth\n",
    "ss_e0 = Orbit.from_vectors(Sun, r_e0, v_e0, epoch=date_launch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# State of the Earth the day of the flyby\n",
    "r_efly, v_efly = get_body_ephem(\"earth\", date_flyby)\n",
    "ss_efly = Orbit.from_vectors(Sun, r_efly, v_efly, epoch=date_flyby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Assume that the insertion velocity is tangential to that of the Earth\n",
    "dv = C_3**.5 * v_e0 / norm(v_e0)\n",
    "man = Maneuver.impulse(dv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Quantity [  1.02465527e+08, -1.02313505e+08, -4.43533465e+07] km>,\n",
       " <Quantity [ 2198705.82621214, 1897186.74383867,  822370.88977492] km / d>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Inner Cruise 1\n",
    "ic1 = ss_e0.apply_maneuver(man)\n",
    "ic1.rv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$2.1515475 \\; \\mathrm{yr}$"
      ],
      "text/plain": [
       "<Quantity 2.1515474943357495 yr>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ic1.period.to(u.year)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JwcEKikqrKDxcxdZ95WzeW340/Yx/zcEREcagDq0YktWKwVlJdE2PD7lWhiKE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\nu75DHTu42AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1d16336c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = OrbitPlotter()\n",
    "op.plot(ss_e0)\n",
    "op.plot(ic1)\n",
    "\n",
    "plt.grid(linestyle='--')\n",
    "plt.gca().set_axisbelow(True)  # Please tone down that grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Time object: scale='utc' format='iso' value=2012-09-01 14:38:56.604>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We propagate until the aphelion\n",
    "ss_aph = ic1.propagate(ic1.period / 2)\n",
    "ss_aph.epoch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<TimeDelta object: scale='tai' format='jd' value=403.1958726432301>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's compute the Lambert solution to do the flyby of the Earth\n",
    "time_of_flight = date_flyby - ss_aph.epoch\n",
    "time_of_flight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "(v_aph, v_fly), = izzo.lambert(Sun.k, ss_aph.r, ss_efly.r, time_of_flight)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1.0798665 \\; \\mathrm{\\frac{km}{s}}$"
      ],
      "text/plain": [
       "<Quantity 1.0798665492662625 km / s>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Check the delta-V\n",
    "norm(v_aph - ss_aph.v)  # Too high!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "ss_aph_post = Orbit.from_vectors(Sun, ss_aph.r, v_aph, epoch=ss_aph.epoch)\n",
    "ss_junofly = Orbit.from_vectors(Sun, r_efly, v_fly, epoch=date_flyby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+pckLL9RbxwD6fUjUBpW13RAURMN77qbV8mWEjr4IEdwArl2AvONXZGhj7bv6\n9yJw2CsWphP0et+Vc/AAgYGBbN68mS1btvDcc8/x6KOPVllG6RQX5VEd5wDw0ksvsXnzZjZv3ly+\n87JZIWMvZKeCORi7f4TmHBYsqHKdFeHIySH99TfYO3yEth4CENynD3Evz8a/ZUu316c3itdz8EWq\naru5USPiXnyRyJtvBiHIWbuLlHHjyV/6Pnx1C3w4Eo7vqFiQDtDrfVfOwcPk5OQQEaHN7rRYLAwf\nPpwePXrQpUsXvvnmm5LjPvnkE7p27Uq3bt2YOHHiOfMcnnzySaZMmYLDcbpfddGiRSQnJ3PDDTeQ\nmJhIQUEBK1asoHv37nTp0oWbb765Sl+8v/76i/79+9O9e3cGDBjA7s1/Qvou5s3/gstve5Rh19zO\n8IsuYcaMGaxZs4bExERefVVLi3D06FFGjx5NmzZtePjhh6t0jZxWKxnvvMO+ESPJePNNCtq0psF4\nfazqVpvoNd69Nqiu7cVhsIbAAOxZWRx85FVSD46i6PBBbU3x5MqvRuct9Hrf6/2Yw8GJk87ZFzJk\nCFG33Fyt8hafflJhnQUFBSQmJmK1Wjl27BgrV64EtIVwFi9eTFhYGBkZGfTr14/LL7+cHTt28Mwz\nz/DHH38QHR1NVlbWGfKmT59Obm4uc+fOPSMmfNy4cbzxxhvMnj2bXr16YbVamTJlCitWrKBt27ZM\nmjSJt99+m2nTpp2j4/Tp03nmmWcALXHf/Pnzad++PWvWrMFkNPLLihU89vRzfPXhHAhrwsYt20rS\nhSclJTF79uyStB7z5s1j8+bNbNq0CX9/f9q1a8e9995Ls2bNKrxWAGlPzST7m28IGTqUhvfew7oT\nJwho165S5yoUAKHDhxM8YACZH31E5gcfYtkYSqNRCTT4bhpkHdBScyiqRL13Dt6guFsJtLeCSZMm\nsW3bNqSUPPbYY/z6668YDAaOHDnC8ePHWblyJePHjyfalRE0MjKS3NxcAGbNmkXfvn3PSKp3Pnbv\n3k1CQkLJ6m+TJ0/mzTffLNM5vPTSS4wbd+bbefapk0y+4Rr27vsHYfLDZrNBZDwYjBWmCx8+fDjh\nrtTWHTt25ODBg+U6B2m3Yzt+HHNsLFF33EH42LEE9+urFZ7wrcRrCvdgCAyk4d130+Dqqzn22GPQ\n71II3QzN+nhbtTpJvXcOFb3p17S8Ivr3709GRgbp6en88MMPpKens2HDBsxmM/Hx8WWmzC5N7969\n2bBhA1lzO4V6AAAgAElEQVRZWdVay6HS2At58uFpDO3TlcWfvkfKSQdDSq0Cdr504cWUl5q8NNLh\nwJ6Rgf3ECdI/+4wmL7yAf8uEc1cQUyiqiblRI5p98IE2O19cTc7y5ZjtfxMod0JsJ21TVIgac/Aw\nu3btwuFwEBUVRXZ2NjExMZjNZlatWsXBgwcBLeX2woULyczU4vdLdyuNHj2aGTNmcOmll5a0JkoT\nGhpasr9du3akpKSULNH56aefMnjw4IqVLDgF6bvJzs4mrnUnaNCceR9/fN7DS9dZWaSUOLKzKdy3\nD3t6OobAQGL+9a8qyVAoKoswGLQEjHY76a+/Qcp115P5ykzk+yNhZ/lZjhUayjl4gOIxh8TERCZM\nmMDHH3+M0WjkhhtuIDk5mS5duvDJJ5+UpMvu1KkTjz/+OIMHD6Zbt248+OCDZ8xzGD9+PLfddhuX\nX345BQUFZ9Q1ZcoUpk6dSmJiIlJK5s6dy/jx4+nSpQsGg+GMdaVLM336dJeO3Ujs1Zcip+Dhx57i\n0aeepXv37ud98wfo2rUrRqORbt26lQxIV4Q9PZ2iw4cRRiN+CQkYIyIwNWxY5rF6De3zNL5qN3jO\ndmEyEb9gPqFDh3JineTwbw2xfzwRVr+khb3qAL3ed5Wy21dxFIHBrDW9i/K0tRWEe98VpNMJTifC\nZMJps+HMycEYGYkQQt0nRa0ipeTU559z/LnnMfpDwvBDmHpcDuM+0iZ1+hCVTdld78cc6ioeXc8h\nPwuyD2spL4KiPJIj32m1YktNBYMRv4R4DGYzhqioSp3ra+saFOOrdoPnbRdCEHHddQT26EHu8h8x\n9ZJaXjAdOAa93nfVraRTPLKeg9MBJw/CqYNgDgI/969vIKXEnp5B4f79SLsdU3TUGeG3lUGvcd+e\nxlfthtqzPaBdOxrefx8MvJ/CllM4dPMt2Db9DAe9d+31et9Vy8FXcBRB5gGwF0BIIy03kpvXWnDa\nbNgOH8aZn48xLAxzkyYIk/qKKfRJUWoqBZs3c+CmdTQbfIqg+z6FVsO8rZZuqJcth7o8juIxCi3g\nKITIlhDW2COL8GjRIQ7McXGYmzU7r2NQ90ehB0KHDiVh8deYYuI4tCIMy8sT4UCSt9XSDfXOOQQE\nBJCZmakeQMU4bNrfoEiI6QgB4W4VL202bGlp2trNJhP+bVpjiog4b1eSlJLMzEwCAgLcqodCUR38\nWrSgxYIF+LVszeGkMPJeuREOrPa2Wrqg3rX5mzZtSmpqKunp6d5WpUZYrdaaP0Ct2VCYCyEx2hKe\nbsZpteI4eQqkxHT8OKKSacYDAgJo2rSp2/VRKKqDKTqaFp/NJ/2VlwiM+BnWvAwJF3p0idu6QL1z\nDmazmYSEuj/bNiUlpfrxz/ZCWHovbP0CuoyHy98As/ve1KXDQcabb5Lx1tsEduhA3OyX8G/Vym3y\n9Rr37Wl81W7wvu3GsDAazZwFlvtwWG1Yli4l/IoraqVub9t+Pupdt1J9odpfmLwM+PhyzTEMfQKu\net+tjgHg2JP/JuOttwkfO5b4/y1wq2MA/f5YPI2v2g06sj2kIScXfsPRR2Zw4rYhyH9+83iVurH9\nLOpdy6G+UO3Y5z9eg2ObYdxc6HyV+xUDGoy7msCuXWgwYUKVw1Qrg17jvj2Nr9oN+rI96rbbKPpn\nH5lLf8A5bRKxcz5FJAz0WH16sr00quWgU6oc+1w8AD/0cbh1hdsdQ/Y335D+xpsABPXoQcS113rE\nMYB+4749ja/aDfqyXZhMNH5hNpHXj+fkbn+O3T0J+c/vHqtPT7aXRjmH+sChP7WVryzpYPKHRp3d\nJloWFZH2n1kcfWQG+evXI202t8lWKPSKEIKYJ5+m4R03YTnqh+29a+HwX95Wq1ZRzqGuc2A1fDoW\n8jPBXn7676piO36Cg5Mmc3LBAiJvuonmH36AMJvdWodCoVeEEEQ/8DAtv/kKv4TWYDAiS63EWN9R\nzqEus+dHmD8eIlrATcuhQeVWXqsMzoICDl53HdY9e4h75WViH3lYzXZW+CSmFh3htpWc+HINRx58\nCFlUUPFJ9QD1a6+r7F4GX9wIsZ1h4mJtkpsbMQQGEn33XQR07EiAyp6q8HWEwBgeTu6PP5J+6jdi\nPvjN7VGAekO1HHRKheFtsZ2gw+UwealbHUPOsmVY1qwBoMHVV3vFMeg1tM/T+KrdUDdsj7xpCg1G\n9iXzzzyyZ13ntvUg9Gp7vVvPod5zIAniLwQPpPPO+vhjjj//AsEDB9Ls/fc8Fo2kUNRVZFERh8aN\nomBfGs0fm0DQjU97W6UqU9n1HFTLQacUFhaeu3PTfPjkCtgw1611SaeT4y+8yPHnnid0xHCavvG6\nVx1Dmbb7AL5qN9Qd24WfH03nfY05MoCin96Hf9bUWKZebVfOQaecE/u88ztYeg+0HArdb3RbPbKo\niKP/mk7W3LlEXH89cXPmYPByUjy9xn17Gl+1G+qW7cbISBJ++IUGfZtD+q4ay9Or7co51AUOJMGi\nmyCuJ0z4TJvL4C6MWnhew4ceJPbJJxBG76+MpVDoHUNYNNyxmtz8NloEUz0McVXRSnqn4BR8OQmi\nWsP1X4J/iFvEOvPycBYUYIqOJu7VVxCeWpJUoaivmPyxp6WR88MPmCw7iH33h3qVyVU5B70T2ACu\n/hAadXFbVJIzL49Dt9+BMyeHhMVfq/kLCkU1ibj2Wgp/XUjWyh3IeyZg6jyUgI4dCb7ggjr/wqWe\nCjoloCBNm8vQ7mJoM9JtcosdQ8HmzcTNfkk5BoWihsS8Mp+cgb05ueJvWPE3ACHDhmmBHXXYQdRd\nzeszuWn03DFLW5Oh0OI2sc68PA7dcdoxhF18sdtkuxO9xn17Gl+1G+q27fl//okjz37GPsvKleSt\nqVwkk15t141zEEI0E0KsEkLsEEJsF0Lc722dvEJRHswfj9l6Eq77wm1jDADHnn6agk2biXvpRd06\nBtDvj8XT+KrdULdtt+7YUfb+nTsrdb5ebddTn4IdeEhKuVEIEQpsEEL8LKUs+8rXR5xOWHInpP2N\nbfx8zE17ulV8zP33EzZqFKEjRrhVrrvRa357T+OrdkPdtj2gY8ey91cyu4BebddNy0FKeUxKudH1\nfy6wE4jzrla1zI7FsOMbGDWL39OD3SLSabWSOXce0unEHBene8cA+o379jS+ajfUbduDL7iAkGHD\nztxpMuEf37hS5+vVdj21HEoQQsQD3YE/yyi7HbgdoEmTJiQlJZ1zfv/+/fH39yclJYWUlJS6Uy4j\niO40gzY9boN162os/5/9+zn1xBP4b97CLunE1rKlvu134XQ6AXSrn6fKLRYLSUlJutXPk+XFtutV\nvwrLx12NX4cOmA8fJr5jWzJffIkj0yaRcv/zFZ5f2vba0L/SSCl1tQEhwAbgqoqO7dmzp6wXHNsq\nZVbKGbtWrVpVI5FOp1Mee/o/cke79jJz3rwayaptamp7XcVX7Zay/tmePv06uaNde5nz8YsVHlvb\ntgPJshLPYt10KwEIIczAV8B8KeXX3tanVshNg/nXwMLJbsvyCJD5wQcli/RETp7sNrkKhaJiop5+\nH/9oA8de/QhH+hFvq1MtdOMchJbp7UNgp5TyFW/rUyvYCuDz68GaDZe/7rbZlUWpR0h/7XXCLrmE\nmOn/cotMhUJReURgME1mzcQUYMP+/Sxvq1Mt9DTmMBCYCPwthNjs2veYlPIHL+rkOaSE7x6AIxu0\nfEmNupxRXJPwNr+mcbT4+GMCOneqk5Nw9Bra52l81W6on7YHDB1PwpPJiJxUcDrAUHbeMr3artZz\n8BZbv4Svb4Mhj8KQGW4Rad25k6LUVMJGum9GtUKhqAEOO468fDLfe4+oqXdiDHFPFGJNUOs56J3W\nI2DwDLhwepnFVc3xbktL49Dtt3Piuedx6jQ/fGXRa357T+OrdkM9tt1oonD/fjI//Ij0x6aWeYhe\nbVfOobaxWcFh05LoDX30vE3NqsQ+O4uKSL3vfmRePk3feRuDv/4m1FQFvcZ9expftRvqt+1B3bsT\nMSCOkz8lk//TwnPK9Wq7cg61zY+PwtxLwF7kNpHHZ83CunUrjV94noC2bd0mV6FQuIeYF+dhDpEc\nf/YZpGsej95RzqE22b4Ekj+C5v3A5OcWkZY1v3Fq4SKipt6hxhoUCp1iiIoj+trRWI8XYfniNW+r\nUymUc6gtTqbA0vu01dyGPek2scGDBtLk5dk0vPdet8lUKBTuJ/zuZwlvLzD/87Vb5zR5CuUcagOH\nDRbdAkgY95FbWg329HSKDh9GCEH4pZeq5T0VCp0jAoNp8tRjBHTqqs1x0jnKOdQGJw+C5Thc9n8Q\nEV+pU8qLfZZFRaROe4CDEyfhLHLf2IVe0Gvct6fxVbvBh2zvfiNF3R8m46NPitMF6dZ2PU2Cq79E\nt4Z7ksEcUOlTyvvCHH9pNgUbNtDk5dkY/NwzdqEn9Ppj8TS+ajf4lu15v/9O+pz/I7CxP8FX3KRb\n21XLwZM47PDne2AvrJJjgPPHPucmJXHy00+JmDSR8EsvdYeWukOvcd+exlftBt+yPXzslZiCIeO1\nV0BK3dqunIMnWfsGLJsO+1ZU/dQyYp/tGRkce/wJ/Nu1I+Zf9Tdnkl7jvj2Nr9oNvmW7ISCQqPEX\nkX/ETt6i13Rru3IOniJjHyQ9B+3HQDs3LclpNBLctw9NXnqxXnYnKRS+QoP7nsUUBBnvfgBSn/Me\nlHPwBE4nLL0HTP5w6ctuy7Zqiogg7pVX1EQ3haKOYwgKJuqaizEZc4g+9ru31SkT5Rw8wfoP4NBa\nuOg5CG1UY3GF+/dzcPIUilLrZl54hUJxLpEPv0Tc2Ob4O095W5UyUc7BEzRJhN63QuL1NRYli4o4\nMn06hXv2IPzMblBOoVDoAoMRbk/iON0p3LvX29qcgwpl9QTN+mhbDSgOb0t//XUKd+yk6ZtvYI6J\ncYNy+kevoX2exlftBt+13Wl3EPXGm5z4+TuazV0AOlp/RT+a1Af+WQPLHoHC3BqLio+Pp2D7djI/\n/IgG48cROny4GxSsG/jqg8JX7Qbftd3g50fU0O5Y/tqM/e8fva3OGSjn4C6cDlg+A3Z9D4aaN8gK\nCwvJeO11jFGRxEwve82H+ope4749ja/aDb5te8A1N4EU5C5429uqnIFyDu5i48dwfBuMmgXmwBqL\nW7t2LU1mv0Szt97CGBbmBgXrDnqN+/Y0vmo3+LbtG09Z8I8NJvuPnWDN8bY6JSjn4A4KTsKKWdBi\nIHS8ssbiHKdOgcOBMTSUwC5dKj5BoVDUXYQg7NJLsGYasa+d721tSlDOwR2sflFzEKOfr/GcBikl\nRx+ZQcTLr9SZRUEUCkXNiLj9QdrcEobp0A/eVqUEFa3kDhKvhwbNoXHXGovK/fFHLKtXUzjuaoSO\nIhcUCoXnMDZoADfOgwbNvK1KCerp4w4adYF+d9ZYjCM3l7RnnyWgY0fyhw51g2IKhaKuYM02kXLT\nVKy793hbFUA5h5pxeD0sngqWdLeIy3j7HRwZmTR6+mniW7Vyi8y6iK+GNfqq3aBsBzBFR1OweTM5\nz03RFgjzMso51IRVz8Len90SnSRtNiyrVxN+5ZUEdumsfiw+iK/aDcp2AFNkJMGJbcnemo7c7f05\nD8o5VJeDf8CBVTBoGviH1FicMJtJWPw1sTMeAXw77ttXbfdVu0HZXkz4NZOw55soWPqeFzXSUAPS\n1WXVfyE4BnrdUmNRtiNHMEZFYQgIAFcq7rVr1zJkyJAay/YmBUUOjudYsTudtI4JBWDu7/+QkpFH\ngc2BzSEpcjhpERnEw6PbAzBz6XZ2HDhM87jGBJqNBPoZaRYRyMT+8QAcSLcQ4m8iKsQfo8E92W71\nQn2459VF2T4EgNCRoxBPPkn2b1sIyj0OobFe00s5h+rwz6+QskYLXfULqpEoKSVHHnwIKSXxX3yO\ncFN679rEUmgnxF/7Ks35ZQ/rU7I4kJ7HsWwrAN2ahvPNPYMA+GpjKgcz8wnxN2E2GjAbBaZSD/lj\n2QUcznWSui+DApuDApuDHs0jSpzDrR8ncyAjD6NBEBvqT6uYEC5oE83tF2pjNFabgwCzsRatVyjc\nhyE4mMhrx2La8QFs/QIG3uc1XZRzqA7hzbSsqz2n1FhU7vLlFGzZQuNnZtUJx2C1Odh2JJtNh06x\n6fBJNh86RYDZyMp/DQFg73ELlkIH/VpGkRAdTFyDQOIiTo/JfHP3oHLf+N+d2IukpKQz3iKLF2IH\nePKyjqRm5ZOWY+XoKSv7TljYc9xSUj7ohVX4mwz0bBFB7/gIesVH0jY2tN61MhT1l5jHZ8E3JyG8\nqVf1UM6hOkQmaIv41BBnUREnXn4F/3btCB871g2KuR+nU7Iv3ULbWK1b6KEvt/D938cAaBYZSM/4\nSHo0b4CUEiEEb97Qo1x51XlIl3aaQ9udPzOtwym5aWA8O47msO5AJku3HAXg+r7N+e/YLkgpScnM\nJz4qqE44YoXv4hj+Ao6sTLy53qNyDlUl6QVoNxoad6uxqFOLFmFLTaXZ++8jjPrpCskrtLNq9wlW\n7Upn9Z50MiyFrH10GI3DA5k8IJ4ru8eR2KwBDUP9va3qGRgNgruHtga01kbqyQLWp2TRPFLr+tuf\nnseIV1YTHxXE8A6xDO8QQ+/4SMxGFZeh0BeHbrkZg8lIizef1ybYegHlHKrC0c2Q9F9tnMENzsGS\nlERg9+4EDxp4Tpm3Qvt+2p7G/Z9vpsDmIDzQzIVtGzKkbUNCA7SFhvokRHpcB3fYLoSgWWQQzSJP\njwlFh/gx68rOrNh5nE/XHeTD3/4hLMDEmzf04II2DWtcZ01R4Zy+SVm2B3VL5OT8T5A//hsxYV6t\n6wQgSvfn1jV69eolk5OTa6/Cr2/XUnI/uAMCwmssTjqdOE6exBQV5QblqlG/lGw+fIrFm45wYZuG\njOgYS+rJfN5O2s8ViXH0bBFRb/vq8wrtrNmbwc87jvPYJe2JCvFn+bY0dqflclWPuDOcikJR2+Qs\nX86RaQ8Qf1kRgS/sdesiQEKIDVLKXhUdp1oOlSXnKGz7CnrfVmPHIG02nFYrxtDQ8zqGwsJC/P09\n021TaHfw/dZjzPsjha2p2fibDDSNCARiaRoRxLNjvZsJ1pO2FxPsb2J050aM7nx6je8NB7P44Ld/\nePWXPQxoFcXNAxMY1j4GQy05yNqwW68o28+0PTAxEYCC1AIC07ZqSw/XMqqztbL89b62oE/fO2os\n6tSSJewbPoKiw4fPe4yn8ttLKRn75h88+OUW8grtzLqiE8lPjCgJBdUD3srt//ilHfntkWH8a1Rb\nUjLyuPWTZCbP/avW6vflNQ2U7WdibtQIU6NY8jP8tMm2XkC1HKpC12u0SKUaIG02Mt99D7/mzTE3\nrZ1QtdST+Sz48xAPjmyLyWjgziGtCA80M6h1dK29FdcV4hoEcs+wNkwd3Ipl29JKMrBbbQ7eXX2A\nG/s1JyrEN99wFbVLoyeewLT6Udi/CgY9UOv1K+dQWUY8BW4Yn8n+9jtsqanEPvaYx8Mpj54q4M1V\n+/gy+TACwciOsXRvHsFl3Zp4tN76gMloOOM6JaecZM6KPbz3635uuaAlt16QQJhrkF6h8AShI0ZA\ngtEt45vVQTmHinA64cgGaNrLLQv5ZM39CP/27QkZOsQ9+pVBrtXG7B9387+/DiORTOjdjLuHtqZx\neM0TBPoqg9pE8/MDg3n15z28tmIvn6xNYergVtw8MAE/k+qdVbgfabORl2rAFBtEgBfqV9/qikhZ\nAx+OgN3LaiyqYMMGCvfuI3LSJI+2GvxNRlbvSefqnk1Z9a8hPHNlF+UY3EDrmBDevKEH3907iMRm\nDViYfBjVK6fwGEKQOu0BTn3wKuz8rtarVy2Hitj0GfiHQ6uaL74T2LMnzefNI7B7xZEHVY37Ttp9\ngg9/+4f3JvYi0M/Ijw9ciL9JPxPrqoLeY947x4Uz76Y+ZBfYMBkN5Fpt/GvhFu4f3paOTcKqLVfv\ndnsSZfu5CJOJwK5dKUj+E1pthw5jalUv1XIoD2s27FwKXca5Zc0GIQTB/fpiqETIXmV/LIez8rnt\nk2SmzF3PkZMFHM0uAKizjgHqzoMiPFAbc9ifnkdyyknGvL6Gp7/dTq61egu11BW7PYGyvWwCuydi\nPVGE88g2sJyoPaVQzqF8tn0Fdit0v6HGotJfe43jL75EZScdVpTf3umUzPv9H0a+uprf92Uw4+L2\nLJ92Ia0a1nxtCW9T13L7JzZrwMqHhnB93+bM+yOFYS+vZpkr/1RVqGt2uxNle9kEde8OTklBphkO\nJNWeUijnUD5/L4KYjtCk/GRyFeGw5JH1yafYT5yo9FhDRXHfdqfky+RU+rWMYsVDg5k6uFW9GRit\nizHv4UFmnrmyC0vuGkhsmD/v/HoAh7Nq0W110W53oWwvm4BOnQAotATB0U21pRKgxhzK57r/QXZq\njaOUspcswWmxEDlpYo3kSClZsvkIw9rHEh5oZv6tfWkQZFYZRnVEt2YNWHzXQE7mF2E0CE7mFbH7\neC79WnonRYqibmOMiiL+q0X4rZgK6btrte768arpKQLCIbZTjURIKTn15ZcEdO5MYNeu1ZaTXWDj\njk838MAXW/hs3UEAIoL9lGPQIWajgZhQLfjw/1bs5br31/HfH3ZSaHd4WTNFXUMIQWCnThhvWgjX\nf1GrdSvnUBYOO3x6Fez9pcaiCnfupHDPHhpcfVW1Zew4msPlb/zGyl0neOLSDtw5WD+pLhTlM/2i\ndlzXpznv/XqAa99bR5prdTyForLkJiVxcvkaMNbupEvlHMri0B+wfwXY8mosSpjNhI0ZQ9jFF1fr\n/J93HOeqt3/HanPwxR39ufWClirlRR0i2N/Ef8d24e0berA7LZcxr//GpkMnva2Wog6R8/0PZL71\nJvwwHU7srLV61ZhDWexYCqZAaD2ixqL827QhbvZLVT6vOLytdUwIF7RpyH/HdtHd4jqeoj6GNV7c\npTGtY0J4+KutRJ8nN1N9tLuyKNvPj7lRLDnpmcg/30M06gIxHWpFL9VyOBunE3Z+C21GgF9wjURZ\nd++hcP/+Kp+XnW/jx4MOpJQkRAfz/qRePuMYoP4+KNrEhvL1nQNoFhmElJJP1x2kyO4sKa+vdlcG\nZfv5MTVqBHY7DnsQnNhVO0qhnMO5pK4HSxp0uKLGotJfe41DU25COio/EHn0VAHj3vmD2T/tZlda\nbo11qIvU55j34gCC5IMneXLJNm75eD2WQjtQv+2uCGX7+TE3bgyAzS8e0pVz8B52KzTtA21H1UxM\nVhaW1asJu/yySq8PvfNYDmPf+p20HCsP9vCnQ+Pqp2Koy/hCzHvv+EheGteVP/Znct1760jPLfQJ\nu8+Hsv38mGJjAbAZGivn4FVaDoZbf65xmtzcX34Bu53wMZXLh/LH/gyueWctAsHCqf3pEFV3018o\nKsf4Xs34YFIv9p2wMO6dPziR76z4JIXP4d+mDa1++ZnQQf2hyAJF+bVSr3IOpcnPgkKLW0Tl/vIL\n5mbN8G/fvlLHn8q3ERcRyNd3DaB9I99sMfgiQ9vHsOC2vuQV2jliUc5BcS4GPz/8mjZFXDgNHjkI\nfrWzvrlyDqX5812Y3RaKahbC6iwoIP/PvwgdObLCSWqn8osAuKRLY767dxBNGqjU2r5G9+YRrJ4+\nlO4xWvCg1aYmyynO5NSiRZxa+n2NszVUBV05ByHER0KIE0KIbV5R4MAqiGlf4yglQ2AgrVeuIHLK\n5HKPW70nnUEvrGLN3nRAW31M4ZsE+2uO4Zcdxxk2O4n96e5pwSrqB9nfLOXUwoXw7f2w7p1aqVNv\nT6N5wGiv1GzNhtRkaDnELeJMUVGYY2LOW75mbzq3f5JMs8ggOjc5d3xDhfb5HvHx8cRHB1PkcHL9\n++tIyaj5JMy6gq/ec6ic7abGjbCnpWnPqAOrPK8UOnMOUspfgSyvVJ7yO0gHtKzZoj5Oq5XDd0wl\nf/368x7z1z9Z3PpxMgnRwcy/tS8RwX7nHKN+LL5HfHw8rWNCWHBbP2wOyXXvr+NwVu0MPnobX73n\nUDnbDQGBOG1FEBwN+ZmeVwqdOQevcmAVmIOgWZ8aicn7Yy2W1atxFhWVWZ56Mp/bP00mLiKQ+bf2\nJbIMxwAq7tsXKba7bWwo82/VBqlvmree7ILqLR5Ul/DVew5VsF0CAQ2g4JRH9SmmzqXPEELcDtwO\n0KRJE5KSks45pn///vj7+5OSkkJKSkqlykPtbQhueStpv62t1vnFhC78kuCAAIJ69y6z3OGUjOve\nhEkDWpKbcYy/k8uWv3btWuLj46tcf30odzqdDBs2TLf6earcYrEQEhJC//796dA4jP+MasrSzams\nX/sbplL5tPSqf03Ki23Xq36eLC9t+/nODz12DP+iIo6eLKBxwUkEVLv+yiIquzJZbSGEiAe+k1J2\nrujYXr16yeTkZI/rVBX2X3Ip5rg4mr//3hn7rTYHuVZ7pdNgJCUlMWTIEA9oqH981fby7M7OtxEW\naKq3Kdp99Z5D5Wx3WCxImw3Tlndhy//gvs3VjlwSQmyQUvaq6DjVrQRwZCPsX6nlVaoBtrQ0ig4c\nILh//zP2O52SaZ9v5qq3f6egSIUpKqpGhqWQS19fw2sr9nlbFYWXMIaEYIqIgCEz4P4ttRLSqivn\nIIT4H7AWaCeESBVC3FIrFW+YBwtvqrEYe3oG/u3aETzgTOfw+sp9LN+exuT+8QT6qZnPiqoRFexH\nn4RIXv1lD8u3VX1takXdJ3fVKjLefa/iA92IrpyDlPI6KWVjKaVZStlUSvlhrVR8ZAPE9QRDzS5H\nYJfOtPxmCQGlZkX/tjeDOSv2cFX3OG4ZlFBTTRU+iBCC567qQrem4UxfuJWDmb4T4qrQyFuzhqy5\nc7Vn1WfjILPq2Z6riq6cg1cotMCJHdC0wi64cpFSIm1nRpWkZVu5//NNtIkJ4ZmxnavUX6xC+3yP\n8i8dbGoAACAASURBVOz2Nxl54/oeGAyCu+ZvrHezqH31nkNlbXc9OwotsO9nyPV8C1I5h6ObQDoh\nrmbOoeifFPb07YdlzZqSfRJJxyZhvHVDD4L8qhYYpn4svkdFdjeLDOKVa7phMhrIqWfhrb56z6EK\ntksJgQ20/ws8v5pgnQtldTtHXNFONWw5FGzZgjM/H3OjRiX7GocH8uktfaslr7CwEH9/31ngpzS+\nantl7B7eIZah7WLq3VKxvnrPoZK2C4EEbZ4D1MpcB9Vy6HMH3LoCgiJrJKZg6xYMwcH4tWzJnwcy\nue2TZLLyyp4IVxlUfnvfo7J2GwyCTEsh/1q4hWPZBR7Wqnbw1XsOlbS9uEu6uOVgVc7B8/gF1bjV\nAGDdspWArl2wOuDhr7ayOy2XALO6vArPYCm08/3WYzz69d/oba6Swv00nDaNVst+AP8wCG0CwvNR\nj7799MrPghWzIGNvjcQ4Cwqw7t5NYNduvPTjbg5m5vPiuK5VHmdQKCpLi6hgHhndjqTd6SzckOpt\ndRQexhgSjCkyUmtBPLQT+t/l8Tqr7ByEEMFC1ILbqg2Ob4M1syG7Zj8up9VK5I03cLhNN+b+8Q+T\n+7egX8soNympUJTNpP7x9EmIZNa3O+pN95KibHKWLSNz3rxarbNC5yCEMAghrhdCfC+EOAHsAo4J\nIXYIIV4SQrT2vJoeIn239rdhuxqJMUVEEDNjBv9JMdM0IpCHR1du9TeFoiYYDIKXxnXF7pTMXLrd\n2+ooPEjOD8s4tWiR9uGLG2H9Bx6vszL9HquAX4BHgW1SSieAECISGAq8IIRYLKX8zHNqeoj03a4+\nvMY1EmM7fhxjRATvTuxFhqWwZOGWmqBC+3yP6tjdIiqYN2/oTpuYUPcrVIv46j2HytluT0/H1LCh\n9mHfSghv7lmlqJxzGCGlPCeoWkqZBXwFfCWEMLtds9ogfZfWaqhhnpJDd9+DKTSUFnM/olF4gFtU\nUz8W36O6dg9rHwtoEzGdEox1MMzVV+85VNI5nDhBUG9X4IyjEExlp/p3JxV2KxU7BiFELyHEYiHE\nRiHEViHE30KIraWPqXNkHahxl5J0OsnbvZfVhcFujRpR+e19j5rYbbU5mPTRX7z36wE3alR7+Oo9\nh4ptl1JiS0/HFBOjJQd12sHo+TkhVRmQng/MBa4GLgPGuP7WXe7fAqOerZGITet3YrYVEtCmjVvT\nKau4b9+jJnYHmI1aio2VezmRY3WjVrWDr95zqNh2x6lTYLNhahijtRpAHy2HUqRLKZdKKf+RUh4s\n3jymWW1gNJ+eVFINnE7J5wtXAzB8dD93aaVQVIsnLu2AzSF5Yflub6uicCOmiAjaJifT4OqrtFZD\neHMIrNmk3UrVW4VjnxJCfACsAEraQVLKr92uVW3w/+2dd3hUxdrAf7O72U1PSIUQIITeu4KogIIK\nIoiIYu+9t6te+6feq4JeVK69e1VsIBYQpSNYaNJ7CBBaKunZbJnvj5NAQgLJZtvZ7PyeZ5/snjLz\nvpmz+54z85Y9K2DjTBjxzyZHR8/ZeBDHbu0xPra7e9NTCoW7pCVEcO3QNN5dlsFtwzvQMSmy4ZMU\nAYExMuLYh/s2+KRPV54crgP6AuehTSdVTy0FJvv+gpXvgqHpnkWfrNhDUcceJD7wAMaYGA8Kp1A0\njVvOTCfUZOStJd5P6azwDaV//cXhl6bgKPFtqnZXfhkHSSmbz+1x0X7NjTU0uslNvHftQA4e6UlC\ny8B2I1Q0H+IjLbxxRX96p6qbleZC+erV5H/wAYn33gOF+2H27XDGA9D+TK/268qTwwohRHevSeJr\nCvdDdOsmnSqlxOmURIeG0O7IfuwFnk+fq1z7gg9P6T2iaxLxkYGV4TRYxxwa1t2ek4MxJgaD2QzW\nIshYDGV5XpfLFeMwGPhbCLHteFfWgKQoC2JSm3Tqr5sPM/rVZezLLyXzssvJe+ttDwunvizBiCf1\n3nG4mIlvrmBndonH2vQmwTrm0LDutuxszY0VwF613KszV9bzgE7AOTQHV9aKQohx/clBSsn0RTup\nsDtIclYgy8sJSXEvwro+lN938OFJvVtEmNl0oJD3fwuMuIdgHXNoWHd7ds4x4+CoKgOgM1fWhJou\nrFVurL28JZjXuWcdjJnq8mlr9x1hfVYhN52RjvPQIQBMKSmelk75fQchntQ7IdLChX1bM2vtfgrL\n9B+jGqxjDg3r7iwuPpY6w1am/TV5JhPDyXDFOLwrhOhZ/UEIcRnwhOdF8iFG17N+/O/3PURaTEzo\n1xp7djYAIcnJnpZMoXCbq4ekUWFz8vXqff4WReEG6T/9SPKjj2gf7JXaWmm0529Ij8cV43Ax8IkQ\noqsQ4ibgdrQppsDjyD6YeTMc+Nul0/JLK/lx/UEm9m9NhMWkRS4CxhYtvCGlQuEW3VOiOSUtjk9+\n34PTqQoCBSrCYDjmKt/5HLh/M8Sle73fRhsHKWUGMBmYiZZC4xwpZaG3BPMqRQdg/ZdQluvSaaEh\nBp64oDtXn5YGQFjfvrR86sljj3wKhc64bXgHLh3UhkqH09+iKJpA4ezZHHzqaaTD4fO+G4xzEEJs\nAGredsQBRuBPIQRSyt7eEs5rVNdfDXXtjj/cbOKqwe2Ofrakt8eS3t6TkikUHmVE1yRGdE3ytxiK\nJlK8cBEVmzcjjFX11X64FyyRcM5zXu+7MUFwgRsFfSIqqh54QhsfKLRu3xHW7y/k4v6phJm1gbJm\n7AanA0tHz9c7Uq59wYe39K6wOZi/5TCndUggLsL7Xi5NIVjHHE6ue8XGjYT2ruH3s3sptPLN/Xhj\nppX2Hu+ldHziPeHJdKS+oLzqycGFpHuf/7mXF+ZsqVX6IefVV8m6+x4PC6ehvizBh7f03p1byp2f\nr+WnDQe90r4nCNYxhxPrbi8owLZ/P2E9q/yApNRKGjcxPstVGmMcFgkh7hJC1Co9JIQwCyHOEkJ8\nDFzjHfG8hK1McwWzNC51RqXdyc+bDjGqezKhIcfKZzuLizFGeSd1hvL7Dj68pXfXllF0To7k+7/3\ne6V9TxCsYw4n1r1io1b6NbRHD21DaY6WstsHVeCgccbhPMABfCGEOFBVOzoD2AFcBkyTUn7kRRk9\nz+n3wuOHGx1IsnxnLoXlNsb2ru0+JisrERbvRCoqv+/gw1t6CyEY37c1KzMLyCoo80of7hKsYw4n\n1t1RWIgxPp7Q7lVZiwqrXJL18uQgpayQUr4hpRwKtAPOBvpLKdtJKW+SUq71upR+5of1B4gKNXFG\n54Ra2522SoRZn3O4CkVNxvXRbmxm/33Az5IoGkvM2PPp9NsyjNFVMxwOGyT1gBZpPunflTgHpJQ2\nKeVBKeURbwnkE9Z9CbPvbNShUkr25JVxXo+WWEzG2vusyjgoAoM2ceH0SY3hz935/hZF4QK1lnPb\nDobbV0Cyb/KfNr2YQSBzYC1s/h7GT2/wUCEE3952GhW2un7GCXfcjiE83BsSKhQe591rBpIQEVjZ\nWoMVe24ue66+huSH/0HksGF+kSE4jYPTDgZjw8fVoOZCdDXRo0Z5SiKFwuskRXk/H4/CM1Rs2kRl\nRkbtm88f7tHSZ0x40ycyNHpaSQjxqxCijzeF8RlOW6MrwF32zh9Mm7+93n0VW7dSucc7ZbSVa1/w\n4Qu9p8zbyos/b/V6P64SrGMO9etevnEjCIGlW40ppKzVLmd1cAdX1hweBqYJIT4UQng+R7UvcToa\nZRxyiq38npFHiLH+f1PWXXeTM/2/npYOUF+WYMQXeu/LL+frVft0l2spWMcc6te99PffsXTpcqx2\ntN0KOVshyXf11lzJrbRGSjkC+BH4WQjxlBAizHuieZGQsEa5sa7YpVnp0zsm1LtfmEzgsHtUtGqU\n33fw4Qu9h3VOJLekks0Hi7zelysE65hDXd3tBQWUr1lL5IjhxzYe2qjNeLQe4DO5XPJWqoqE3ga8\nCdwF7BBCXOUNwbzKmClaPYcG+G1HLjFhIfRsXX+aDWEyIW3eMQ7K7zv48IXep6bHAbBmr+dL27pD\nsI451NXdWVJC1MiRRJ098tjG/au1v3o0DkKI5cB+4D9Aa+BaYDhwihDiHW8I52/W7C1gUFoLjIYT\nZAcxmfySLVGhaCqtY8NIiLTw997A9kZvzpjbtCH1tVcJ69nj2MbQaOh0jk/qOFTjirfSzcBmKeXx\nk5V3CSG2eFAm77P1J9j4LVz0Hhjqt49Op2Rwejx9Uk+cf0mYTEi7/qtsKRTVCCEY2S0Ji8mlSQOF\nj5CVldiyszGnHhcF3Wey9vIhjTYOUspNJ9l9vgdk8R252zXjMP6/YKh/2cRgEDw/4eRVUBNuuVnF\nOSgCjhcmBl6W/WCh9K+V7LvxRtp++AERQ4ZoGx12QDapcqU7eOT2oaoQUOBQXX/VXnHCQ4oqbA16\ndESNHEnEaad5UjKFwmfozWNJASWLFiFCQwnr2/fYxsxl8O82miurDwnOZ8tq41B54iRkT3y3kVH/\nWXLSZmwHDlD+t2ulRhuLcu0LPnylt83hZMTUxfx30U6f9NcYgnXM4ZjuUkqKFy0k4rTTMITVmNHY\nvxrs5RDfwadyBWeEdFhVBbjyAohpXe8hG/YX0jEx8qTN5H30EYUzZ9Fl1UpPSxhcXxZ7AZStAet2\ncJaRFmaEvDgI6wth3UEEx2XqqzEPMRqw2hzsyinxSX+NIaiu9+Oo1t26fTv2AweJvO222gfsXwPx\nHV2qP+MJguNbdzwRCWCOhMr6vxw2h5M9eWWM6XnyWD9jVDTOkhKkw3GsjJ+HsFqtWLyUDlwXVO6D\nw69C3vvgOJnnjAFCu0Grx6HFRBC+nXf1Jb4c8w5JkWTklvqkr8bQ7K/3k1Cte8nChQBEDR9+bKeU\nsH8VpA+v71SvEpzTSu2Gwj/3a1kO6+HgkQocTknb+JMvNhtjtFS6jiLPBxQ1W7/vyn2wbQRsaAvZ\nLzdgGACcULEJdl8Ga2Pg4EsgnT4R1df4cszTEyLIyCmlrvOhf2i213sjqNY9Zvx4UqZOxZSYeGxn\n0QEoOezT+IZqgtM4NFDVdE++dkfVLu7kxqF6EO3ZOZ6Rq7mT/TZsSIeSxU07X5bDgYdhUzeo2OZR\n0YKN9MRISqx2coqDNzJZb4SkpBAz9jjHTyFg6D3Q/kyfyxOcxkFKmHmzVtehHlpGh3LLmel0SDr5\nmoMpORkAe/Zhj4vYrJB22HE+7LsV8EBEuXU7bOoOhXPcbytI6Z0aw/i+KVQ6mudTWKBRsuw3jsz6\nDmk/7vsRnQKj/g+SuvlcpuBccxACdvyi1ZDuc2md3Z2So3h0TMODYenQgVb//jeWzp29IWXzQDpg\nxzlQvMjDDTth51joMBtiL/Bw282ffm1b0K9tC3+LoagiZ9o0ZGUlMReOr71j7x+Q0r/RJY09SXA+\nOQBEJEHxwXp3HThSTlllw3e4xpgYYidcSEjVE4SiHvbc6AXDUI2EXRdCmXfciYMBh4p18DumPXuo\n2LSJ2MmX1q78lp8BH5wLqz7wi1zBaxxi28KRvfXuumfGWm74aFWjminftInyTScLHm8azcK1r3gR\n5H3k5U6csHMcyMBPY+LrMR/43Hz+NUcfmW+axfXeRJLW/o0ICyNm3LjaO7b9rP3tfK7vhUIZh3p3\nHSmzERveOJfJQ8/8H9lTpnpSMqAZfFkcpbDrIt/0ZdsH+5/0TV9exNdjHmY2kFuijwXpgL/em4ij\nuBjnkiVEnz8GY1RU7Z3b50JiV4hr7xfZgtc4xKWDOaLeKOkj5Y03Dpb2aVTu3u1h4ZpBfvvcdxvh\npupBDk8BR6Hv+vMCvh7zhEiLboxDwF/vTaRy716MLVrQ4tLjkuqVH4E9K6Dzef4RjGA2DqfdCfdv\nBnNtd1UpJYXlNqLDGmcczO3bYz98GGepZwOKAt7v+9C/fNyhA3I/9HGfnsXXY54QaSG3uNKnfZ6I\ngL/em0hYjx7sf/wxwnr1rL1j53yt1n2XMf4RjGA2Diegwuak0u4kNqxx3gHm9ukAWDMzvShVgFG8\nGOx+iP3wuUEKbKJCTZRYvVOsStEw9vx8nJWV9ZcN6Ho+XPENpA70vWBVBK9xsFXA55fWG+vw0Lld\njlbMaghz+zQAKndnek62QKdwnn/6teeA7ZB/+g5ABqfHc37vwC4HH8hkvzSFjPPHgrOeWJOQMOg0\nCgyeTcvjCroyDkKI84QQ24QQO4UQj3i1M5MFslZq6XBrEGY2cseIjvRvpA+4OS2N1OmvEzH4VG9I\nGZgU+ck4AJT5Nq1xIHPJwDb8sxHxPArP4ygspGjuXCKGnlb3yWH/Glj4PJTl+0e4KnRjHIQQRuC/\nwGigO3CZEKK7FzuEpO6QXduVz+Zwsr+RcQ4ABrOZqJEjMSUkeEPKwKTCj+6RJX/5r+8ARC+5lYKN\nwtmzkVYrLSbXU91t47ewfBoYfR/4VhPdGAfgFGCnlDJDSlkJzADGN3COeyT30IxDjce6vfllDH1h\nIb9ubnxKDGvGbgpmzPCoaAHt2idPXETJ69j2+a9vN/H1mL/yyzY6Pz7Xp32eiIC+3l1ESknBjC8J\n69OH0K5da+suJWybo+VSspw8fY+30VP6jNZAzW92FlBnrkYIcTNaPWtSUlJYvHhxnYaGDBmCxWIh\nMzOTzHoWiqv35xqTSbCV8se8r6gIawnAgZJjhqKh86v3hy1YSPTXX7MhNBRnbGyj+z/Z/rS0NLfO\n999+B8Oj6pziMw4d3EOLVlYd/39Ovj8zM9Nn/RcVFWJzSBYuWoShRmSuv/Svfq/n8fHE/n5hYVRm\nZBBy//1Hf7+qjwsvzeKU/AwYfLvX+m8sQi+PlUKIi4HzpJQ3Vn2+CjhVSnnnic4ZOHCgXLWqcZHM\n9bJ/Dcy+Ey78L6T0A2BndjEjX1nKa5f1Y1yflEY1U7Z6NXuuuJLUN94g6qwRTZenBgGd3361AfDT\ndZVwE7R7xz99u4mvx3zqvG28sXgnu/41pnbaBj8Q0Ne7i0gpKVm4kIihQzGEhtbWfeFzsHQq3Lfp\nhIXI3EUIsVpK2aAblJ6mlfYDbWp8Tq3a5j1a94fbVxw1DDVx5asS2rUrGAxUbNzoMdEC2u/b6NuK\nVbUI9d4ylbfx9ZhX2ByEhhj9bhggwK93F5BSIoQg6uyzMYRq5Ypr6V58SEuX4SXD4Ap6Mg4rgU5C\niPZCCDMwGfjeJz3XeHoyV1V0s9obn8rYEBGBpUsXytas8bhoAUm47wuT6KLvAKPCrhkHhW+QUpJ1\n623kf/q/Ex80fjpc+pnvhDoJujEOUko7cCcwD9gCfCWl9HxGu+NZ/hpMH3TUQMRHmrlvZGe6tXJt\n4jx80EDK161D2gI/AZzbRJ/jv77D6z4FKuqnf9sWXNTP/3eowULpihWULFmCMJ3AIJfmaX+N+lgK\n1o1xAJBSzpFSdpZSdpBSPu+TTs3hkLcDCjIBiLCYuGdkJ3qkxLjUTPwNN9JxwXxESPOtcdxoYif4\np9+w/mD0r4dHIHFR/1QeHxu403CBhJSS3Ndex9SqFTETJ9Y9oOgAvNwF1nzqe+FOgK6Mg19oU+UQ\nlbXy6KbDRRUul08MSU7CFNe4qOpmT2hHCPPDHXxK4Gdm9SWVLkydKtyjdNkyytetI+HWWzGY64lf\nWPsZOG2QNtT3wp0AZRySuoM5EvYdC54aN/03pszb6nJTR777jpzXXveIWAHv953ytG/7M8RAzFjf\n9ulhfD3mk95awU2fuOHt50EC/no/CVJKcl57nZDWrYmdcGGd/Wnt2sLaT6D9MC1btE5QxsFg1LyW\nso4Zh+jQEIrKXU9IVrF5M3nvv4+zvNxtsQL+yxI7DsJP8V1/7T8BEdiLq74e8+xiKzGNzD7sbQL+\nem+ApAcfoOWTTyDqeWpIc+zWassMuMYPkp0YZRwAuo+HtDOOLkonRFrIaUKe+8hhw5BWK6V//um2\nSM0iv32Hb/FJnGXMWM0YBTi+HHOnU5JTbCUxSh+xBc3iej8BQggiBg8mctiwevc7Vn0IYXHQVV9P\nvso4AAy6Ec59Xsu3BKS2CCOroG4RoIYIHzQIER5OyZIlbovULPy+zamQ9ol3+zAmeL8PH+HLMS8o\nq8TulCTpxDg0i+u9HooXLuLQv/510novK2PGwoS3tWSgOkIZh2ocdijYA0Bqi3AOF1mx2h0uNWEw\nm4kYMoSSJUtUQrNq4i+D1Fe907YxFrqvBlPjMugqjpFd5XCRFBXqZ0maL9LpJGfaNEqXLkOcJPq7\nIqwldPaj+/cJUMahmpk3widanr/hXRJ56oLu9aZZb4jIYWdijIrGccSHJTL1TvLd0O4jPHq5mdtB\n941gbuu5NoOISIuJqwa3o1Oycv31Fke+/gbr9u0k3HknwlTP9KrTCT/cS3ShH7MYnwRlHKppexoU\n7Ib8DPq0ieW6oe0JM7u+wBk7aRLps7/D1ELdzdYi4RrosQ1C3a0fICD5Uei5E8wqgKuptIkL59kL\ne9I52Y9ZEpsx9rw8sl95hfBBg4g+/wSlPrf9BKs/JLTCD1UTG4EyDtV0OEv7u2sRTqdkV04JBwtd\n9zqqzlPjLC9XU0vHE9pRu9tv+z6EpLp4soCY86H7ekj9Fwh9RJEGKrklVuwOFefgLbKnvoyzrIyW\nTz9Vf+4qKWHJSxDXgZxE/cQ21EQZh2riO0BsW9jxCxK44PXfeHtJRpOaKl2xgu1DT8e6bVuTxWm2\nrn3CAInXQ+990GUFxN8E5nSgnqc0EQERQ6D1S9AnGzr+CGE96x7XTPDlmN/48Squ/XBlwwf6iOZ2\nvcddew2tnnoSS4cO9R+wfR4cWg9nPki79BMc42fU7Vc1QkCX82HVBxhtJXRrFc3mA0VNasrStSvS\naqVozlwtY2sTaG5flnqJHKK9AKQDbPvBWQYYtUVmU3BV1/PVmEsp2ZVdwoU6yqvUXK736qyroV26\nENqly4kOgiUvQmw76DWJNKM+Yk2ORz051GTAtTDpQzBa6JESzeaDRTidrk8NmeLiiDj1VIrmzEE2\nZVWb5u33XS/CqC0uh3bFKtoGnWEA3415drGVYqudjkn6WYxuLtd73rvvsf/Bh5CVlSc+yGGDDiNg\nxGNgDNGt7so41CSpK3Q9H0xmeqREU2K1syff9XgHgJgLx2PLyqLsr6Y9ujdXv+/GEKy6+0rvDVmF\nAHRtqZ/F6OYw5pVZWeS+8QbSaq03EvooJjOc/ST0uRTQr+7KOBzPkX2wZAo9kzS/5E0HCpvUTNQ5\n52CIiuLIN994UjqFwm1W7y3AZBD0aePHokzNDCklh597HgwGkv/56IkPzFoF2+bWqiGjV9Saw/Hk\n7YBFz9F5UlemTurHwHZNy7RqCA2l5ZNPYG7TpuGDFQofMqxzIvERZlXox4OULFhAyeLFJP3jH4S0\nanXiA399CvJ3wd0jIETfAYjKOBxP2hkQFkfIlllcfPEFbjUVc4F75ysU3mBwejyD0+P9LUazQTqd\nZL/8CpbOnYm76soTH5j5G+z5Dc57QfeGAdS0Ul2MIdBzImz9idycbL74ay8lVtcztFZj3bWL7GnT\nVMyDQhdkF1Wwdm8BNhXj4DGEwUCbd98hZcpLJy/2teQliEiC/vrKvnoilHGoj76Xg72CwlVf8ujM\nDfy1O6/JTZWv30DeW29T5uKiU3Nx7WsKwaq7L/T+cf1BJryxwuViVt4mUMfcduAAUkrMqakndl0F\n2Psn7F4Cp92lVZ+sgV51V8ahPlL6QVIP2nEAs8nAip1NNw7R54/BmJBA3scfu3SeXi8YXxCsuvtC\n78Xbc0hPiCAlNszrfblCII65PSeH3ZMuIXvq1IYPLsuF+I4w8Po6u/SquzIO9SEE3LwI0+h/M7Bd\nC5bvarpxMJjNtLhsMqVLlmLNaHzEtV59n31BsOrubb3LKu38kZHHiK5JXu2nKQTamEunkwOPPIqz\npITYC+tWd6tD1/Phjr/AUje2RK+6K+NwIqpyq5+RFsGWg0XkNqH4TzUtJk9GmM3kf9L4ugN69X32\nBcGqu7f1XrEzj0q7k7N0aBwCbczzP/yI0uXLSX70USydOp34QGsJ/P25loHVUL93mF51V8bhZCx5\niRvXTsSMjRVuPD2Y4uOJvXgiwmBQC9MKv7FoWzaRFhOD0prmnq3QKN+wgez//Ieoc84h9tJLTn7w\nsqnw3W1aHqUAQ7mynozWAwgpe57lFxSR2CfFraaSn3ii/uyMCoWPeHh0Vy7qn4rZpO4J3cGem4ul\nQwdaPft/J/9O5+2CFdOhz+WQ0td3AnoIdZWcjA5nQUJnEjd94HZEY/VFVL5hI/bcXE9Ip1C4RHRo\nCAPaqToj7hI1YgTtZ83EGBNz8gN/fgRMoTDyaV+I5XGUcTgZQsApN8OBtbz84WfMWpvlVnO2w9lk\nTp5M3vsfeEhAhaJxvLcsg4+W7/a3GAFN4Q8/kP/Jp1rmVUMDP53bfoYdv8DwRyAq2TcCehhlHBqi\nz2VISzS993/JrLUH3GoqJDmJmLHnU/DFF9gOHz7psXp1b/MFwaq7t/S2OZy8uXgXKzMLvNK+J9D7\nmFdmZnLoqacp/uUXGl0/OH04nHpLg4fpVXdlHBrCEomY8Da7et3Hip25ZBdXuNVcwp13Ih0OcqdP\nP+lxer1gfEGw6u4tvZftyCGvtFJX9RuOR89j7iwrI+v++xEhIaRMnYIwNiInVZfz4OrZWsaFBtCr\n7so4NIauYxg19BTsTsnXq9ybWjK3aUPc5Zdx5NuZWHfsOOFxevV99gXBqru39J619gAtwkMY1jnR\nK+17Ar2OuXQ6OfDww1i3bqPViy8Q0rLlyU8ozILlr4L9JPUcjkOvuivj0Eg6yH18G/Mac/9c36QC\nQDWJv/VWjHFxVGzefMJj9Or77AuCVXdv6F1YbuPXzYcY2ztF115Keh3z0hW/U/zrfJIf/gdRw4c3\nfMK8x2DRv6DkUKP70KvuypW1sRhM9Lf+yT+SO1JmG0ekpen/OlOLFnRcMB+DxeJBARWKumQXU/fD\nUAAAIABJREFUVdA5OYpLB6nU8U0h8vShpM34gtA+fRo+eOO3sPk7OOtxrR59gKPfWwm9kdAJ0WMC\nZxbMJtJZ7HZz1Yah5LflJy8pqFC4QafkKL6/83R6tm7A7VJRi9I//6Js7VoAwvr2bThGqegA/Hg/\ntB4IQ+/zgYTeRxkHVzjjAagsJuvn/5Bd5N7CNED5unXsu/FGl9JqKBSNJSOnhCNl6sbDVawZu8m6\n6y4OP/tc42rASwmz7wRHJVz0Dhibx4SMMg6u0LIn5ennEf33u3y6cK3bzYX16UPkWWeR88ab2A4e\n9ICACsUxHp25gYvf+l2lbHEBe0EB+269FWEy0fq1VxuOZwAtHmroPXDBqxDfwftC+ghlHFwk7Nyn\nWB0/jhmrD5Jf6v5dWfI/HwWHg8P/fqHWdr26t/mCYNXdk3pvPlDEn7vzmTQgNSDStuhhzJ2Vley/\n627shw6ROn065tTUhk9y2LS/6cOgdwN5lk6AHnSvD2UcXCW5O20mTyXXbuFDD0ScmlNTSbj9dop/\n+YWieb8c3a7XC8YXBKvuntT79YU7iLSYmDwoMBZG9TDmBZ9+StmqVbR6/nnC+/dr+ASHDT44F377\nj1v96kH3+lDGoQl0TIri3vb7sayYSlGFze324m+4nvBBg3CWlR3dplffZ18QrLp7Su9NBwqZu/EQ\n1w9NIya84SAsPaCHMY+76ipS3/gvMReMbdwJS16C/ashzr2pJD3oXh/KODSRyxN2cbv8mowNf7jd\nljCZaPvJx8ROOFY0RK++z74gWHX3lN7zNh4iKtTEDaene6Q9X+DPMT/y7bfY8/MRZjNRZ53VuJP2\nrdTScfe9ArqPc6t/vV7vyjg0kcTRjyDCYui7ZarbGVtBy9oqpeTIzFkUL1jgAQkVwcr953Thl/vO\nDJinBn+S9+FHHHzscfI/dsFj0FoCs26G6FQ474WGjw9QlHFoKmEtECP+CRmL2bf8C8+06XBQ8Nln\nHPznYxgK9JskTaFfqp0kWsXoq0a0Hsn/9H9kv/giUaPPI/GuOxt/4u6lcGQvTHgLQqO9J6CfUcbB\nHQbeQE5EZ0y/Psbeg9luNydMJlKmTsFpsxHzwYdIh8MDQiqCheU7cxn87wUs36nqhTREwYwZHH7+\neaJGjaT1Sy8hTC7EJnQdA/esg7Sh3hNQByjj4A5GE8YLXuFLeQ4v/brLI01a2ren5ZNPYN6xg9y3\n3vJIm4rmj83h5KnvN9EyOlQV9GkAZ1kZue+8Q+SIEbR++WVESCOn3/b+ATvma+9jGuHmGuAo4+Am\ncV3PwDDsQX7cnM+fGU2vM12TmPHjMY4YQe5/38C6O/gKtOjVtc/buKP3xysy2ZldwpNjuxMa0oiU\n0jrDl2NuCA8n7bPPaP3qNITZ3LiTCvfDl1fBvEePxTZ4CL1e78o4eICbzkhnUuQGSmfcgN1ud7s9\nIQQdpkwh5cUXsbRv7wEJAwu9flm8TVP1zi6uYNr8HQzvksjZ3ZI8K5SP8MWYF/7wI4f+71mk00lI\nq1YYGmsYbOXw5RXa30v/16gaDa6g1+tdGQcPEGY2clWvcM6qXET+0rc90qY9xHTU39q6axfOIErO\np1e/b2/TVL0Xbsmm0u7kybHdAyIauj68PeaFP/2k1WXYuRNpc+HOX0r44V44sFbLm5TYxeOy6fV6\nV8bBQ/S64E7sacNJ+v15KNjjdnvVvs+2w9nsnnQJh5973u02AwW9+n17m6bqPfmUtiz5x3DSEyM9\nLJHv8OaY53/yCQcefIjw/v1p8+YbrqXK3/ojrJ8BIx7TFqK9gF6vd2UcPIQwGDBdOB0pBIfeuYjf\n3/8H6xZ+hdNNj6OQ5CTirrySI199RcGMGR6SVtEcKCy3sW7fEUC5rp6I7P9M4/C//k3UyJG0ee9d\nDBERrjXQ5Xy46D0440HvCKhjlHHwIM6oFHY7EmlZvpMh+96mz9KbWPfyWLcNROI9dxM5bBiHnn2O\nkqVLPSStItD5vx82M+nt392ua96cCe3SmRZXXEHraf/BEBra+BMLMrWSnwYD9J6k/Q0ygk9jL7Jh\nybekO2p7F/UrW8GGJd+61a4wGmn9ystYunRm/733Yd250632FIHPr5sP8+2aLG45M52kKBd+9IIA\nR3ExJb8tByB6zBhaPvE4wuiCB5e1GL64DD6dAM7gjTVSxsGDlO1ZXf/2vWvcbtsQEUGbN98iZuJE\nQtqoko/BTF6JlUdnbqBbq2juOquTv8XRFbbDh9lz5VVk3X039vz8JjRQoRmGnG1aagxD4LkFewpl\nHDxIeLsB9W9v29/ltupzbwtJTqLlY//EYLFgLyjA3kxTbOjVtc/bNEZvh1Nyz4y/Kaqw8colfTCb\nmsdX2BNjbt25k8zJl2Hbt4/U11/DFBfnWgMOO3xzHWQugwvfhI5nuy1TY9Dr9d48riyd0GvYRNaG\nn1Zne4XN9UfTk10w0ulk3403se/Gm3AUu1/PWm/o9cvibRqjt5SSHinRPDu+B91aNZ+8Pu6Oedmq\nVWRefgXSbqPd/z4lcmgTUlsseQG2zYHRU6DPpW7J4wp6vd5FIJcQHDhwoFy1apW/xaiF0+Fgw5Jv\nKdu7hrDWPYn5Ywox9jwqbvqNlNS0RrdjtVqxnMTlrnjxYrLuvIuwPn1o++47GMLDPSC9PmhI9+ZK\nQ3o7nRKDITDjGBrC3TE//O9/U7JkKW3ee7dxFdzqoywftv4E/a9qshxNwdfXuxBitZRyYEPHqScH\nD2MwGulz1iUMufYF+o66krDLP2F720tISk5xqZ2GfJ+jhg+n9ZSXKF+7lqy77sap00CapqBXv29v\nczK99+WXMea1ZazPOuJDiXxHU8bcWVFBZWYmAEkPPEDajC+aZhg2fQd2K4TH+dwwgH6vd2UcvEzL\nDn0YfMMrmELM5OTm4HB67kktevRoWj37LKXLl3Po//7PY+0q9EWJ1c7Nn67mwJFyYsMamfKhmVOZ\nlUXm5Zez94YbcVqtCLMZY2ys6w39+TZ8fQ389a7nhQxwdGEchBCThBCbhBBOIUSDjzuByJH922H6\nIH78+CWPths78SJSpkwh4ZZbPNquQh/YHE5u+99qth8u5vXL+9M2vvlMHzaVkiVL2D3xYmxZ+0l+\n/DHXIp5rsm4GzP0HdB0Lp97qWSGbAbowDsBG4CKg2UZ4xbZMpyiqE+dlvsScud97tO2YC8ZibtsW\n6XSS9/4HzXKROhiRUvLPmRtYtiOXf0/oxbDOif4Wya9Ip5Oc16ez79bbCGnVivbffkPUiBFNa2zr\nHPjudmh/Jkx8H4wu1HMIEnRhHKSUW6SU2/wth1cxmki79UsKQxIZ8Mdd/LZ2vce7sG7dSva0aey9\n5lrsuargS6BTbnOQmVfK3Wd34pJBKrZF2u2ULF1KzPjx2vpCU+N9Kkvh+zshpS9M/hxCVBBhfejK\nW0kIsRh4UEp5QhckIcTNwM0AKSkpAz777LM6xwwZMgSLxUJmZiaZVQtWetlvKtzNgLWPsEu2Yu/I\n9wh3lNR7/sGDBwFcbt+8YSNx77+PKSEBw1NPsddRN4W4nv8/AKmpqXTs2FG38nlrf2VlJWazmSFD\nhhASYmbv3j3syNiNSVAr26pe5Xdnf7Xu9e037dmDIyEBGRGBqKjg1OHDCQ0Nda//7HXsLTWTcaju\nAr+v9a+puy/6HzFiRKO8lXxmHIQQ84GW9ex6TEo5u+qYxTRgHGqiR1fWxlC84ScOz32JxBu+IiY+\n2ePtl2/YwL5bbgWnk9Q33yC8Xz+P96HwHt+uzuKrVfv44NpBRFiCd7pDVlaS+9Zb5L79DrEXTaDV\ns8+61+CqD8BeCYODe31Bd66sUsqRUsqe9bxm+0oGvRDV63w6PrSYmPhkrNYKth0sqnOMOznew3r1\nIu2LzzHGxgbk9JJe89t7G6vVysw1WTz4zTpMRoEhQGszNIXjx7xi+3Z2T55M7htvEjN2LEkPPeRe\nB7/9B368DzIWg9PpXlseRq/Xuy7WHIISIaCyjKzXR7Pg7fvq+K+76/tsbteO9O9nEz1qFADl69Yh\ndfalOBF69fv2Ni9/u4wHvl7HkPR43rt6EGHm4MnrU3PMi+bOJXPixdgPZ5M6/XVSXnwBY3QTo8Gl\nhPlPa6+eF8Oln+ouw6per3dd/JeEEBOEEFnAEOAnIcQ8f8vkE0LCaNm2M7fzDd+996zHalBXU10f\n17pzJ5mXX0HW3XfjKCn1aB8Kz/DDugO8u97KkPR43r8muAxDNdVT3KG9ehM1+jzSf/ieqJEj3WkQ\nfnpAe2oYeL1Wyc3DJT6bM7owDlLKWVLKVCmlRUqZLKU8198y+QQhiJg4nYr2I3mS95j54RR+3njI\n492YO3Qg+eF/ULJoMXsum0zlHvcr1Sk8S3piBP2SjEFpGKTTSdjixey/9z6klJhTW9P6pZdcT5x3\nPEJARCIMvQfOfyWoM6w2BV0Yh6DGGELo5Z9hazecfxnfZsE3b1JY7kKN20YghCDu6qtp+9672LNz\n2H3RRAp/+smjfShcx+GUzNuk3Qz0SInh7v6hQWcYKvfsYe8NNxA940ucZWXIsjL3G7WVQ/ZW7f3w\nR2DkM5qhULiEMg56ICSUkCu+QHYezc3jzyYmTHv09bQnWcSQIbSfNRNL585Yt2zxaNsK16iwObjz\n8zXc8ulq/vDwdGIg4CwvJ3vaNDLGXkDFuvUUXXE5bd552/UynsdTdAA+HAMfjYGKQs0oKMPQJILX\nT05vmMMxXf451aVbdmQXMevLv3nhot4evZsMSUmh3ScfH/1cvn49hvBwLB07eqwPd9FrCmNPkVNs\n5bb/rWb13gIeP78bg9Pjgeavd02cFRUUfDGDqNHnkfTgg+wvK6sVy9EkslbDjMuhskRbXwiN8Yyw\nXkav466rIDhXCdQ4hwZZ8ymOH+7hnsrb2ZV0Lm9fOcArOXWklGROvBjrzp0k3nMPcdde41o5RYXL\nrN5TwB2fraGgrJKXL+nD2N6uZesNZKwZGRTMmEHyI48gDAbs+fnurytUs/4rmH0nRLWEy76A5B6e\nabcZors4B4ULdB+PSD2F10Omc2rBD1ww/TeWbM/xeDdCCNq88zYRZ55B9pQp7Lnqal0sVuvV79sT\n7M4txWwyMPP20+oYhuaqt6OklMNTppAxbjyFs76jMiMDoJZhcEt3KWHdF9DmFLhpUcAZBr2OuzIO\neiQ0mt/S7kN0HMnTvM0dlp+57sO/yMipm2rDXUwJCaS+/jopL72IdccOMi6cQPmGjR7vxxX06vfd\nVMorHUfdlC8ekMq8e8+kR0rdKY/mprd0Oin8/nsyRo8m//0PiLlwPB1+nlvvFGaTdK8ogpIcbU1h\n0sdw1SyIiPeA5L5Fr+OujINOcRotWlKw7hdyc8X7fHyOkfTESABKrXXzJbmDEIKYceNI//EHWlx6\nKaHdugKomAgPsCGrkHHTf+PaD1eSV6LdIQaLR5K02ch++RVMycmkfTmDlOeewxTvoR/vvF3w3kj4\n6mrtySE0WsUweBhlHPSMyQwXfwCXf80ZI84D4O99Rxj64kK+WZ3lcW+mkORkkh95GGEy4SgsZNfo\n8zj07HMqBXgTsDmcTJu/nQlvLKeowsY7Vw8gPrJ5lz6VUlKybBlZd92FrKzEYLHQ7n+fkvbVl4T1\n6eO5jnYthHfPgtIcGPGo8kbyEso46B2DETqfo73f9xddFtxI3wTBg1+v47b/rSG/tNI7/RqNRI86\nh4LPP2fXmDEcmfVdwKTf8DdllXYmvrmCafN3MLZ3K365dxhndGretRhK//yLPVdcyb6bbqZi8xYq\ns7IAMLdpg/BUugqHDeY/A59eBNEpcNNCrR6Dwiso4xBIHNlL2N7FfOh8jOeHR7Fg62FGvbKEWWuz\nPN6VMTKSlk8+QdpXXxHSshUHH32U3RMvxp6f7/G+mgvOqhKw4WYTA9vF8cYV/Zk2uR8x4c13usOe\nm8ue665j7zXXYMvKouXTT9Fh7hws6eme78xarC0897sSbpwPce0934fiKMo46JR6fZ97XQxXzUSU\nHOKKDdfzy6Rw2saHs/WQ96Z9wnr11OaLp07F0qEDxhYtAHAU1c0k6yn06vd9MpZuz+HcaUvZUpVh\n98kLujOmVyuX2ggUvaWUR58MjLGxyEobSY88TIdf5tFi8uSjOb1c4YS6S6lVbXPYIDwObl0O46eD\n2c1gOR2h13FXcQ6BSM52+OxiKD6I86rvsaWegsVkZNmOHBZuzea+UZ2JDvXe3ao9J4ddo8cQedYI\nEm69DUt68N7B7csv47mfNjNv02HaJ0QwdVJvBrTzkO++znBarRT9+CP5H32EPTePjosWYggNRUrp\nfgBbfVQUaonzNnyt5UYadIPn+whCGhvnoCKkdYrVasViOcECZmJnuHkxLJ+GIXUAFpPm/bI+q5CP\nVmTyw7oD3DGiI5ef2vboPk8iQkKIveQSCj7/nKIffyJ67PkeNRIn1V1HvL5gB9MX7cQgBA+d24Ub\nz2jv1v9br3rb8/Mp+PwLCr74AkdeHpauXUl6+B9HAyY9YRjq6L7vL/j2BijcDyMehwHXut2HXtHr\nuKtpJZ3SoO9zeByM+j/No6k0D2ZcwR19Q5h9x1A6JkXyzA+bGTFlMbP/3u9x2YyxsST/4yE6LphP\n3HXXUvzrfDLGjvVYAJ1e/b5Bi1moJrfEyqjuySx4YBh3jOjotiHWm97VDgjl69eTO306YT170vaj\nD2k/ayaxF16ICPHc02kt3f96Fz7QvPO4/mcY9lCzzqiqt3GvRj05NAfydsDuZfDOMHpPeIcvbhrF\nil15TJm3jYOFFYC2WCoBo8Fzj/+m+HiSH3qI+Ouvp3j+Aszt2mnivP8B5vbtiRw+zHOeKn6mrNLO\nJ7/v4e0lu3jrygGcmh7PUxf0wODB/6cecJSUUvzzXI7MnEX4gAEkPXA/kWeeSfrcOVja+2j6MLmn\ntr42ZkrA5Edqjijj0BxoOxhuXqQFBH0+CXHKLQwd9Qyn3X4ajioPmu/XHWDqL9u49rQ0LhnUxqNr\nEqb4eFpcegmg1f0t+OpLbHv2Ym7XjhZXX0XMuHEYo6I81p8vOVxUwae/7+GzP/dQUGZjWOfEo95H\nzckwlK1cyZFvvqXol1+Q5eWY09MJSdEW1IXB4F3DUFlG+q6PoXI+nPMctBuivRR+RRmH5kJ8B7hx\ngVYO8c83wVaKGP9fTEbtBywh0kJKTBjP/bSFafN3MGlgKted1t7jCf2E2UyHH3+k+NdfyfvwIw4/\n+xzZU1+m1dNPETN+vEf78jaVdifnTVvKkXIbo7olc/OZ6QxMaz6Lzfa8vKMRy3kffEjZypXEXHAB\nsRdNILRPH+8sMh/Pzvnw4/20PbIHkq7VvJNUUJsuUMahORESCqNfgE4jIb4q+be1BELCOb1TAqd3\nSmBDViEfLN/Np7/vYeHWbBY/OBwhBE6n9NidsAgJIXrMGKJGj6ZiwwaOfPMtls6dASjfuEn7ERp7\nPqZEfQWGFVXYmLvhIH/uzuflSX0wmwy8MLE33VpGeyUrrj+w7d9P8YIFFP86n7LVq+nwyzzMqam0\nfPIJjLGxGMLCfCNISTb8/Chs/AbiO7G27/P0u+BO3/StaBTKOOgUt3yfO1bV3ZUSvrke7OVwwasQ\nl06v1Bj+c2lfHhndlX35Wg59q93BqFeWMrRjAhf1b83Adi08ctcohCCsd2/Cevc+uq1k6RJyX3ud\n7JdeIvyUU4gePZqoc8/BVBU/Ab71+7Y5nCzZlsOstfv5dcthKu1O0hMjyC62khwdyrk9WvpMFm/q\nXb5+PYeefoaKzZsBsHTqRMIdt2MI14xeSCvXYjLcpvggbJsDwx6BM+6nRdZB3/avI1ScgxcI2jiH\nxiIlrPkYfnlCCyIa8U8YfDsYa98T5JZY+ddPW5i78RDlNgdt4sIY3bMVlw5qQ4eqZH+exLprF0Vz\n5lI0Zw6Vu3djiImh82/LECEhOCsqMISGerzPmpRXOnBISaTFxDers3jw63XERZgZ1yeFCf1a0zs1\nxjdTKl5C2u1UbNxI8YIFhPXvT9SIEVRm7efAAw8Qdc4ookaOPOo84FMObYBdi2Do3drnsnzN607h\nUxob56CMg07xqO9z0QEtmGjbHGjVFya+Dwl10yaXWu38vPEQ3/29nz8y8njvmkEM65zIzuxi1mcV\nMqxzokeTx0kpsW7bRuXu3USPHg3ArrFjwRRC1PBhRA4bRljv3h4pQLQvv4yFW7NZuDWb3zPyePi8\nrtxwenuKK2z8tTufMzsnEmL0r2eVO2Mu7XYKPvuM0j/+pGzlSpwlJWAykXDbrSTecYeHJXWRwixY\n+LyW+iIsFu5YCZG1pxT16uvvC3ytuzIOAc7ixYsZPny45xqUEjZ/p31Jr/1Rq5h1EkqsdiwmAyFG\nA68t2MErv24HoGNSJAPatmBAuxaM7dOKcLPnZialw0He+x+w//vvMe/eDQ4HxthY4m+5hfjrrtWO\ncTprucc6pZPf9v/GlrwtdIvvxumtT8fhhKJyG/GRFsorHYx8ZQn7j5QD0D4hghFdkpjQrzW9UvXl\nJtnYMZdSUpmZSdmffyFtNuKuuhIpJTvPPhsREkLEqYOJGHwqEUOHYozxo44VhbDsFfjzLe36O/UW\nOON+CGtR51CPX+8BhK91VxHSitoIAT0mQLfxYDBoX9avr4GuY6HXpDoeIpGWY5fGnSM6MqJLEkt3\n5LBmTwHzNh/i2zVZXNBHq2T2xV972ZldQsekSO2VGEmLCNfz6wijkYSbb2Jj506c0a8fpcuXU7Jk\nKcbYWABsh7PJGDeO8P79CR84EEvvXjyZ8wG/5vx2TG5HHwp2X8bpHZN475pBhJmNjOqeTNu4cEZ0\nTaJ9QuDm5Mn/5FNKFi+ifNNmnIWFAIT27EncVVcihCB99mx9uQxXFMKfb0P38XDW4xDb1t8SKVxA\nGYdgo/quuywPjuyFmTdpEamjX4TW/U9wiqBXaszRO20pJVkF5UeL1mw+UMTXq/dRYTuW0rtNXBhL\nHxqBEIIZf+0lu9hKYpSFpCgLMWEhRIaa6NoyGoCCqrTjErDaHRwqdbLXZqL9mDFEjxnD8p25ZPyx\nh5Lde2jdaQDx6zYTt2gRADcBZeMMLO9hIKpMknZ4LYM7nM75AwccleXpcYFRNlKUl1O+YQOVmZlY\nd+2iYvNmbAcOkP7DDwghqNi2FceRQqLPPZfQnj0IHzQIc43FTL8bBilh00zIWAzjXteMwb3rITLJ\nv3IpmoQyDsFKRALcuBDWfa7lyH93BPS9Es55tsFFQiEEbeKOuXY+e2FPnhnXg/1HytmZU8Ku7BLK\nKh1HF3XnbTrEom21a2C3iw9nyUMjALjj8zWs2JVXa3/7LStZ9OBwAF5fuIM/MvIRAuK7TiBp0GR6\nh9sZYJrHxt9/IKOl1k/v3ZJ7vncCr2IIf5eMtHaY27Uj8Y47sHTsiOPIERwlJZgSEzH4YX5bVlZi\nz83Fnp2NLTsb274sKjMzafnkE4iQECK/m03mkiXawQYDlo4dCevdB1lRgQgLo9Vzz+lzoVxK2D4P\nlrwIB9ZoEc7lBdr0kTIMAYsyDsGMwaDlxu82DpZNhQ3fgLFqOsjFYCSDQTMYbeLCGdGl9g/Ch9ed\ngtXuIK+kkuxiK8UVtlppPK4b2p5R3ZMxCIHFZCBj53aG9O9+dP+Ui/tgMRmIizBjqrFovDTLyP8Z\nfjr6eU1HwTOXGbg//hLaFoZQuSdTc92sWlcr+vlnDj39jCZvdDSmxERMiYm0euZpzO3aUb5+PaV/\n/okhPBxDRMTRv+H9+2MIC8N28CCV+/bV0k1W2ggfoO0v37CB0t//wFlWirOsDGdRMfacHFKmTsHU\nogW5b71N7htv1DrfGB9Pwu23EdKqFeWnDaHzpIsxp6UR0rYthuNSX+vSMBzaCDNvhuxNENMWLnwT\nel/arHMhBQvKOOgUn/o+h0ZrSfyGPwohYeCww/sjodM5MOQOj+S3sZiMpMSGkRJbN8hqVPfkWp8z\nk5ykpR0zMDWfUmpyeuvTGd5mOIv3LQag3CJIPGMEA0c8gUHU9TyKGDyYVs8/jz0np9aruv5A2cpV\n5Lz8Sp3z0ufMwZLenqK5P5P90ksn3F+2ajU5r7wCBoNmWKKiMCUm4iwthRYtiDzrLEytWh41SubU\n1FoLxqnDhhGlU5/3WtgqtDiFuPZaRTaTBSa8DT0nNrmOs159/X2BXnVX3kqKupTlw4/3wubZEBoL\nQ++BU24Ci44WO6uo9lbamr+VrnFdOb316fUahsYgpURarThLq+78S0txlpYS2r279uRw4ACVe2s+\nOUiE2Uxot24YwsJwWq0gJcJi0eddvrtYi2HVB/D7fyGqlZY2vjnq2cxRrqwBji78vg/8DYuehx2/\ngCUGrpkNKf283q0udPcDutW7cL9mFFa+q3kgpQ+H0+/X6jd7yDjoVncfoNc4h+aRT7kZoosc7yl9\n4YqvtULuPcZDUtU6wK6FkLvDa93qQnc/oCu9nQ4tqh5g0yxY9rJmDG5aCFfPhvRhHn1q0JXuPkav\nuqs1B0XDtB6gvUBb3J3zEOTthC5j4JSbof2wYy6yisCm+BCs+VRLuzL8Ueh3BfS/CrqNhRZp/pZO\n4UOUcVC4hhBw3c/w1zuw8j0tJUdcOpz1BPS8yN/SKZqClJCxSJs62jYXnHbN4MekavtDY1TRnSBE\nGQeF60QmwlmPwRkPwJbvYdWH2jQEaCVLc7ZCu9PUYqWekVLLuRXTWnv/0wNQfkRLzDjgWq0+iCKo\nUcZB0XRCQqH3Jdqr2rHh7//Br09CbDut1GPPiyG5+8nbUfiO7C2w8VttHaEkBx7aobmiXvYltGin\nvVcoUMZBt+jV9/mEVD8lDLoJIpJgw9fw2zRtITOpB9z4K5gbl9co4HT3EF7Ve9tcLRI+ZwsIA6Sd\nrsWwyKqUJ4mdvdd3IwjWMQf96q6Mg07R6wXTIOZw6HuZ9irJ0TLBHt54zDD88gRYoqGOis8kAAAJ\n7UlEQVTzudCyV71TTwGru5t4TG9bBexdATsXQJ/J2v/ZaNbSWYyZqkXERyU33I4PCdYxB/3qroyD\nTmkWft+RiVrwXDVSwoG1kPkbLHoOolI0I9HrYu1OtopmoXsTcEvvikL4+3OtJnPmcq36n9EMyT00\n49DxbO2lU4J1zEG/uiv/Q52iV99ntxBCqyXx4HYY/19IHaBNP22bq+23V8KSKWye+5529xtkNHrM\npYT83bD+K9gx/9j2eY9BQSb0vxou/xoezoS+l3tDVI/TLK/3RqJX3dWTg8L3RCZpCf/6XQl2K9jK\ntO05W2DR8/RDwoZnIHUgtBuqJXKrp3Jd0LFiOuxZDlkrobQqy23HkdBppOZqev8W3U0XKQIXZRwU\n/sVkOeYh06oP/CODDXPepVdUkTb9tGyqFoCX0BH2rYTfX9eOa9UHWvapU24yoJFSC0LL2Qo52yB7\ns+YiPH66tn/TLKg4Ah1HaYazzSmQ2O3Y+cowKDyIMg4KfREeR17CqVBdNrGiEEyh2vvSbDi4TksI\nWE1UClw1E5K6Qc52LXI7voMWzatXt0xbuRZjUJCpZTftdyUAPTf+G5b8eey40FgtXqQ6ffp1c/Sr\nk6LZoYyDQt/UjMzter72Kj8ChzZohuLQBs11FrQ768X/0t4LgxbhG9MGJn2kTWVlrdL8/KNaap/D\nEzQvqtAYzwTsleVDSTZYi6CiSDNmJYfh9Pu0/fOfgdUfQXn+sXMMJuh1CZjMHE4eRsIpF0NiF0js\nqslYUy5lGBQ+RBkHnaJX9zZf0KDuYbHQ/gztVZPBt2oeOfkZkLcL8ndB0cFjbrSbZsHv0+u293Cm\n5ua5+EXtx9scDiHhmrePdMK1P2nbVrwO62Zo26RTWyupKIIHtmkBgYtfgL/ertv+oBu1dOcJnbQ6\n3tEpEN0aYttoRsCk1ZOIOOUKCNJxV9e7/lApuxXBg61Cu5MvqbqjL83RfuBPuQWMJs147JgPtlKo\nLNVyDAkDXPKpZhzW/k/zrBICEJoBsUTBqGc0A7R/teZFFBqjxXJEJGiGIKRugSOFwl+oeg4Bjl59\nn31BsOoerHqD0l3Vc1A0Gr36PvuCYNU9WPUGpbseUcZBoVAoFHVQxkGhUCgUdVDGQaFQKBR1UMZB\noVAoFHVQxkGn6NX32RcEq+7Bqjco3fWIcmVVKBSKIEK5sgY4VqvV3yL4jWDVPVj1BqW7HtGFcRBC\nTBFCbBVCrBdCzBJCxPpbJn+jV99nXxCsuger3qB01yO6MA7Ar0BPKWVvYDvwqJ/lUSgUiqBGF8ZB\nSvmLlNJe9fEPINWf8igUCkWwowvjcBzXA3P9LYRCoVAEMz5L2S2EmA+0rGfXY1LK2VXHPAbYgc9O\n0s7NwM0AKSkpLF68uM4xQ4YMwWKxkJmZSWZmZkDuB3Qtnzf3O51OIPj0LykpYfHixbqVz5v7q3XX\nq3ze3F9Td1/031h048oqhLgWuAU4W0pZ1shzcoA93pTLjyQAuf4Wwk8Eq+7Bqjco3X2pezspZYP1\ndXVhHIQQ5wGvAMOklDn+lkcPCCFWNcYXuTkSrLoHq96gdNej7npZc5gORAG/CiH+FkK85W+BFAqF\nIpjRRZlQKWVHf8ugUCgUimPo5clBUZd3/C2AHwlW3YNVb1C66w5drDkoFAqFQl+oJweFQqFQ1EEZ\nBx0jhJgkhNgkhHAKIXTnzeBphBDnCSG2CSF2CiEe8bc8vkII8YEQIlsIsdHfsvgaIUQbIcQiIcTm\nqmv9Hn/L5AuEEKFCiL+EEOuq9H7G3zIdjzIO+mYjcBGw1N+CeBshhBH4LzAa6A5cJoTo7l+pfMZH\nwHn+FsJP2IEHpJTdgcHAHUEy7lbgLCllH6AvcJ4QYrCfZaqFMg46Rkq5RUq5zd9y+IhTgJ1Sygwp\nZSUwAxjvZ5l8gpRyKZDvbzn8gZTyoJRyTdX7YmAL0Nq/UnkfqVFS9TGk6qWrBWBlHBR6oTWwr8bn\nLILgR0JxDCFEGtAP+NO/kvgGIYRRCPE3kA38KqXUld66iHMIZhqTc0qhaO4IISKBb4F7pZRF/pbH\nF0gpHUDfqvo1s4QQPaWUull3UsbBz0gpR/pbBp2wH2hT43Nq1TZFM0cIEYJmGD6TUs70tzy+Rkp5\nRAixCG3dSTfGQU0rKfTCSqCTEKK9EMIMTAa+97NMCi8jhBDA+8AWKeUr/pbHVwghEqsrXgohwoBR\nwFb/SlUbZRx0jBBighAiCxgC/CSEmOdvmbxFVbGnO4F5aIuSX0kpN/lXKt8ghPgC+B3oIoTIEkLc\n4G+ZfMhQ4CrgrKq8an8LIcb4Wygf0ApYJIRYj3Zj9KuU8kc/y1QLFSGtUCgUijqoJweFQqFQ1EEZ\nB4VCoVDUQRkHhUKhUNRBGQeFQqFQ1EEZB4VCoQgAXEnQKIRoW5XQcK0QYn1TPMCUcVAoFIrA4CMa\nn6DxcTR38H5oMUNvuNqZMg4KhUIRANSXoFEI0UEI8bMQYrUQYpkQomv14UB01fsY4ICr/SnjoFC4\ngRAiTAixpCqJWlpTazIIIcxCiKVCCJXSRuEK7wB3SSkHAA9y7AnhaeDKqiDaOcBdrjasjINC4R7X\nAzOrkqg1mao05QuASz0ilaLZU5Ws8DTg66rsrm+jRV4DXAZ8JKVMBcYAnwohXPq9V8ZBoTgBVQt6\no6rePyeEeL2ew64A6mTPFUKkVy0GDqp6otgqhPhICLFdCPGZEGKkEGK5EGKHEOKUqtO+q2pPoWgM\nBuCIlLJvjVe3qn03AF8BSCl/B0KBBFcbVygU9fMU8JgQ4gq0OgP31txZlSAwXUqZedz2LmhZRq+V\nUq6s2twReBnoWvW6HDgdbSrgn1XHbAQGeUUTRbOjKrX5biHEJNCSGAoh+lTt3gucXbW9G5pxyHGl\nfWUcFIoTULUAKID7gcn1TB0lAEeO25aI9iRxhZRyXY3tu6WUG6SUTmATsEBqic02AGlV/TmASiFE\nlMeVUQQ8J0jQeAVwgxBiHdp1VV098QHgpqrtX6DdqLiUSE8tfikUJ0AI0QttDjevqoTl8ZSj3ZHV\npBDtru10YHON7dYa7501Pjup/T20ABVuiK1opkgpLzvBrjrurVLKzWgZb5uMenJQKOpBCNEK+Azt\nTqxECFHfF7AAMAohahqISmACcLUQ4nIX+4wHcqWUtqZLrlB4BmUcFIrjEEKEAzOBB6SUW4Bn0dYf\n6uMXtKeEo0gpS4GxwH1CiHEudD0C+Ml1iRUKz6PqOSgUbiCE6A/cJ6W8ygNtzQQekVJud18yhcI9\n1JODQuEGUso1aBW9jO60U+X59J0yDAq9oJ4cFAqFQlEH9eSgUCgUijoo46BQKBSKOijjoFAoFIo6\nKOOgUCgUijoo46BQKBSKOijjoFAoFIo6KOOgUCgUijr8P9CmAt+zlwSHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1d12a78e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = OrbitPlotter()\n",
    "op.plot(ss_e0, label=\"Earth\")\n",
    "op.plot(ic1, label=\"Inner Cruise 1\")\n",
    "op.plot(ss_efly, osculating=False)\n",
    "op.plot(ss_aph_post, label=\"Back to Earth\")\n",
    "\n",
    "plt.grid(linestyle='--')\n",
    "plt.gca().set_axisbelow(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# And now, go to Jupiter!\n",
    "r_j, v_j = get_body_ephem(\"jupiter\", date_arrival)\n",
    "ss_j = Orbit.from_vectors(Sun, r_j, v_j, epoch=date_arrival)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "(v_flypre, v_oip), = izzo.lambert(Sun.k, r_efly, r_j, date_arrival - date_flyby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "ss_oip = Orbit.from_vectors(Sun, r_j, v_oip, epoch=date_flyby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zfv36c6pnxowZLUYyBli8eDHHjh1rta6GWmfMmEFcXBwpKSmkpKQwatSos7Ir\nJyeHjz766DQbZs2adVZ1OJP2WqZpMhopLcgn/3AOZYUFGOuiRwshCI6MwuAf4PQnZXf94jx5qJQv\nXs1CaARXPTCYC6/pi97QtkB27qrVGdirNTDUQGRMIGs/2s3nCzZTeKy8xfy9hwznrkXvMeGe+/AL\nDuHnD9/lzb/cQlX5mXvMtQfqmnomXhUM0J1xVjwVPz8/srKyAPj+++959NFHT9s13JEsXryYxMRE\nunXr1mK+xlpfeuklpk6detbtmUwmm5Nz3XWNA1e7B+0RJ6eiuIiywgKEEPgGBuIfEobeBTEw3C32\nRnlRNYFhvkT1COKSm/rTJ7VTk/NGzgV30+pM7NUa2tmfyXMGsWvDCX79bC///fsmLr6hH/1Gdm22\njN7gS8LoMSSMHkNh7mFys3fgF2hdqr7q7TcI7x5D0iVj0RucH3tHXVPPpD20qp4cO6ioqHB6G6Wl\npYSFhQHW7RLGjBnD4MGDSUpK4osvvrDlW7JkCcnJyQwcOJAbb7zxjHqeeOIJZsyYgdlsth1btmwZ\nGRkZXH/99aSkpFBVVcXq1asZNGgQSUlJ3HrrrdTU1AD2ad24cSMjR45k0KBBjBo1it27dwNWR+qK\nK67gkksuYcyYMTzyyCOsW7eOlJQUXnnlFQCOHTvGhAkT6NOnDw899NC5nzAH4IzrKqWkuqIck9Ea\nbVbv60tAaBiRPXoS0qmLSxwcsMajcAdqKo38tCSbD5/8jeK8SoQQ9B/V1WEODriP1vbgbLTWn+vr\n542gW59Qyotq7C4bEd2DgWP/BFiHXQtzD7Nm8X94a9Zt/L78v1RXtNwz1FbUNfVM2kOr6smp49CN\nN51xLDAtjYjbbj2n9J7vL2m1zaqqKlJSUqiurub48eP89NNPgHWH6eXLlxMcHExBQQEjRozgiiuu\nYOfOncyfP5/169cTGRnJqVOnTqtv7ty5lJWV8e677542/DF16lQWLlzIggULSE1Npbq6mhkzZrB6\n9Wr69u3LTTfdxL///W/mzJlzho1z585l/vz5gHWDzw8//JB+/fqxbt06dDodq1at4rHHHuOzzz4D\nYPPmzWzdupXw8HDS09NZsGCBbbuJxYsXk5WVxR9//IHBYCA+Pp7Zs2cTExNzRrsdDYvFQnV5GZUl\nxZhqawkIDSMoIhIfXz98fP1cbZ5bkLOtgPQPdlFZWsugcT0JDPeOp1V3wy/Ih0mzB9rm5ZQWVBEU\n4Wv3kKmbHcahAAAgAElEQVRGq2X6vOfJzd7OxhVL+eWTJWz8YhmXzX6A3kOGO9N0heKsUU6OC2k4\nXLVhwwZuuukmtm/fjpSSxx57jJ9//hmNRsPRo0fJy8vjp59+Ytq0aURGRgIQHh5uq+uZZ55h+PDh\nvPnmm622u3v3buLi4ujbty8AN998M//617+adHKaGq4qKSnh5ptvZu/evQghMNb1WgCMHTv2NLsa\nM2bMGELqlkUPGDCAQ4cOdWgnR0pJRXERlSXFWMxm9AYDIZ272AKuKcBikfz0Xja7fz9BeLcALrsn\nmU49O1bEXU9Do7V24pcXVfPfZzfRe1AUo6+Ltx23h+j+iUT3TyTv4H42fbGMqJ5xABTmHkFvMBAc\n1ckptisUZ4NycuporeelremtMXLkSAoKCsjPz+ebb74hPz+fzMxM9Ho9sbGxVNdNVm2OoUOHkpmZ\nyalTp1p0MhzBE088wcUXX8zy5cvJyck5LSx3QEDLkVMbjr9qtVpMJpOzzHQqZpMJrU6HEAJTbQ16\ngy8BoaHoff3UcttGaDQCrU6QelksqX+KRatXo+TuQkCogaS0aDK+yaG6wsTY2wag05/d0GHnuN5M\nnPOw7fPa99/m0LYs+p0/mmGTpxER3XEfYhQdH/Vt4ybs2rULs9lMREQEJSUldOrUCb1ez5o1azh0\n6BAAl1xyCUuXLqWwsBDgtOGqCRMm8Mgjj3D55ZdTVnbmCoigoCDb8fj4eHJycti3bx8A77//PqNH\nj7bb1pKSErp3t8bTWLx4cbP5GrbpKZhNRkry8yg4nIOx1jqnIaRTF8K6dvPKqMQtkX+4jKIT1nlP\naTf0Y/gVvZSD42YIIRh+RS8umNaHA1n5rFy4hdqqtj14jL1zNinjJ7Ln919Z/OA9fLHg7+Qd2Ocg\nixWKs0N949iBs+Kp1M/JSUlJYfr06bz33ntotVquv/56MjIySEpKYsmSJfTr1w+wzol5/PHHGT16\nNAMHDuT+++8/rb5p06Zxxx13cMUVV1BVVXVa2owZM5g5cyYpKSlIKXn33XeZNm0aSUlJaDQaZs6c\n2aTWuXPn2mxMSUmhtraWhx56iEcffZRBgwa12BOTnJyMVqtl4MCBtonH7sTZXFeL2UxZYQEFhw9R\nXVaGX3AIGq31ibcjODbtvSz18I5Clr+8mfQPrZPS2/McqSW4Z8/AMTFcessAju0tYeNXB9tUV1BE\nJBfffAd3LHyHEVOmc2TnVvb89kub6lTX1DNpD61CSun0RlxNamqqzMjIOO1YdnY2/fv3d5FFio6E\nxWKh4HAOFrMZv6AgAsIi0On1LrXJne/f7PXHWfPBLsK7BTBp1kACQtUE447C0d1FRPUMwsfXcTMZ\naiorkdKCb0AgB7Myyfp+JRddf6saxlK0CSFEppQytbV8qifHDiwWi6tNaDeUVitSSmoqrUMtGo2G\nwPAIIqJ7ENKpi8sdnHOhPkSAM5FSsunrg/y0JJvo+FCmPDDYJQ5Oe2h1FxyttXt8GD6+OmqrTXy7\naBunjrU9zILB3982Eb+ypJjc7B28N/cvrHr7DSpLiu2qQ11Tz6Q9tConxw7aI06Ou+DtWqWUVJeX\nUXjkMEXHj9miE/sHh7gsxo0jaI94FGajhQNZ+cSP6MLlfxl42j5J7YmKM9J2KoprOHGghM9fzuTE\nwRKH1Zswegy3vfYWA8f+ia2rv+P//d8dbP72q1bLqWvqmbSHVuXkKBR11FRWcupoLsV5J0BAaJeu\n6DqwY9NeGGvMGGvM6Hy0XHn/YMbc3B+tTn21dGTCugQwZe4QDP56vng1i8M7Cx1Wt39wCGNuvZsZ\nL79BTEIyproJ/FJKpBf1JCvaB/VNpFBgnVhcnHcMi9lESKfORET3wDcgsENMKnYllaW1rPjHZn58\nZwdSSgx+OnXOPISQKD+mPDiYkCg/vv33NvKPOHalZHi3aK6c+wRDr7gagF2/ruWjvz5A7q4dDm1H\n4d0oJ0fhtUiLhYriIqSUaLRawrp0JzKmJ35BweqH2g6K8yr57MUMTh2roP+oruqceSABIQauuDeF\nyJhApMU5i1Tq7xudjw/lRaf49KmH+fLlZyk60fqGwgpFa6hggAqvwzrvppyqUwVIacHHzw+9wRcf\nP7X9gr2cOFjC1//aCsDk+wbRpVeIiy1SOAv/YB+mzB1ic0aklE5xaPsMG0XswMFkrlzBxi+WsT9z\nIyOnXsuIKdMd3pbCe1A9OXbgrDg5gYHnFvp/0aJFLFlijbC8ePFijh1r+xPPihUrSE5OZujQoSQl\nJbFixYpm886YMYNly5adcTwjI4N7770XgPT0dNavX99k+cWLFzNr1qw229wSjc/L7bffzs6dOzEZ\nayk6foySkyfQ6nREdO9xVrsoL168mKioKFJSUhgwYABvvfUWAPPmzWPBggUO1+EoHBmPwmQ08+2i\nbfj4arl67hC3c3BUnBHHI4RAWiS/LN3LxpVti6PTEnqDLyOu/jO3vfYWCWljCKjbtLhnjx54Q7gT\nUPevo1E9OXbgbtve1wfuA+uPbmJiIt26dbO7vMlkQqf736XfsmULDz74ID/++CNxcXEcPHiQsWPH\n0qtXL5KTk88o2xypqamkplrDFqSnpxMYGMioUaPststRmM3mM87L22+/jZTSGu/GYiE4Mgq/4JBz\neiKdPn06Cxcu5OTJkyQkJHDFFVc4WoLDceSXiU6v5U93JREc6Yd/sHMeANqC+pFwEsK6i/yW1Ufo\n3DOY2ORIpzUVEBrGuDtn2z4X79nBZx+/y9g7ZhHSqbPT2nUH1P3rWFRPjh04M3ZMeno6EydOtH2e\nNWuWbauE2NhYHnroIZKSkhg2bJhtG4b6XoNly5aRkZHB9ddfT0pKClVVVWRmZjJ69GiGDBnC+PHj\nOX78OABpaWnMmTOH1NRU/vnPf55mw4IFC3jssceIi4vDYrEQFxfHo48+yksvvdRs2VWrVpGamkrf\nvn1tu4zXa8nJyWHRokW88sorpKSksG7dumb1z5gxg3vvvZdRo0bRq1cvWw/R8ePHueiii0hJSSEx\nMdFWxw8//MDIkSMZPHgw06ZNo7y83HauHn74YQYPHszHH3982nkpKSoiLS2NzMxMgjt1ZtWvGxh+\nwYUkJSXx8MP/23MnMDCQxx9/nIEDBzJixAjy8vJavHadOnWid+/etm03du7cSVpaGr169eK1116z\n5bvyyisZMmQICQkJtg1UzWYzM2bMIDExkaSkJFtE6P379zNhwgSGDBnChRdeyK5du1q0wV4cEY+i\nOK+SHeuOAtClV4hbOjig4ow4CyEEo6+NJ6pHED++u5Pik5Xt1jYaDcf27OK9B//C5m+/xGIxt1/b\n7Yy6fx2LcnLqWP7y5jNef/xwGLDGU2kpvanyjiIkJIRt27Yxa9asM3YJnzp1KqmpqXz44YdkZWWh\n0+mYPXs2y5YtIzMzk1tvvZXHH3/clr+2tpaMjAweeOCB0+rZsWMHQ4YMsWkFa6/Mjh07mi2bk5PD\nxo0b+frrr5k5c+ZpG4jGxsYyc+ZM7rvvPrKysrjwwgtb1Hj8+HF++eUXVq5cySOPPALARx99xPjx\n48nKymLLli2kpKRQUFDA/PnzWbVqFZs3byY1NZV//OMftnoiIiLYvHkzN9xwA6mpqby/ZAlrf/ie\nqlMFWMzWHqjComIefewxfvrpJ9atW8emTZtsQ3MVFRWMGDGCLVu2cNFFF9mGoprjwIEDHDhwgPPO\nOw+w7j/2/fffs3HjRp5++mnb7uzvvPMOmZmZZGRk8Nprr1FYWEhWVhZHjx5l+/btbNu2jVtuuQWA\nO++8k9dff53MzEwWLFjAPffc06IN9tLWeBSVpbV8tXALv604QFV5rUNschYqzojz0PlomXBnIkID\n3/1nG8aa9nE2SnwCmPHyv4jun8CaxW/yyVMPU5h7pF3abm/U/etY1HCVm3Pttdfa/t53330t5t29\nezfbt29n7NixgLW3oGvXrrb06dPPfQJf47LXXHMNGo2GPn360KtXrzb1OFx55ZVoNBoGDBhg6z0Z\nOnQot956K0ajkSuvvJKUlBTWrl3Lzp07Of/88wGr4zVy5MgzbJRS1i0JP051VAQBoWFotNZbfdOm\nTaSlpREVFUVZWRnXX389P//8M1deeSU+Pj62XrUhQ4bw448/Nmnvp59+yi+//ILBYOA///mPbdf3\nyy+/HIPBgMFgoFOnTuTl5REdHc1rr73G8uXLAThy5Ah79+4lPj6eAwcOMHv2bC6//HLGjRtHeXk5\n69evZ9q0aba23OGpzlhr5us3tlJRXMOV9w3CL9A9e3AU7UNwpB/jbkvgmze2cXxfMT0SItqp3U5c\n9cg8sn9JZ817b1F0/KjaGkLRKsrJqeOqBwY7Nb05dDrdacNhDXtE4PSNDVubPyKlJCEhoVnvOCAg\noMnjAwYMIDMzk4EDB9qOZWZmkpCQ0GzZxra0ZbVFwzlP9ZMLL7roIn7++We+/vprZsyYwf33309Y\nWBhjx47l448/brKeehtL8/Mw1dai0ekI7x5jd6RivV5v06HVapudf1Q/J6clHfXl09PTWbVqFRs2\nbMDf35+0tDSqq6sJCwtjy5YtfP/99yxatIj//ve/vPrqq4SGhpKVlWWXve2BxSL54e0dnDxUyp/u\nSnK7ScYK19BjQAQ3zh/Z7tt2CCEYcOHF9B4yDIO/9f99+5ofiewRS5fefdrVFkXHQA1XuZiePXuy\nc+dOampqKC4uZvXq1aelf/rpp7a/DXst6gkKCqKszBqkKz4+nvz8fJuTYzQaTxtyao4HH3yQ5557\njpycHMA6FPXss8+eMazVkKVLl2KxWNi/fz8HDhwgPj6+WbvOhUOHDtG5c2fuuOMObr/9djZv3syI\nESP49ddfbXOTKioq2LNnj61MvYNkCAgiNDwMja//GQ7OsGHDWLt2LQUFBZjNZj7++GNGjx59zna2\nRklJCWFhYfj7+7Nr1y5+++03AAoKCrBYLFx99dXMnz+fzZs3ExwcTFxcHEuXLrXp2bJli9Nss4dD\n2wvJ2VrARdP70islyqW2KNyLegfnwB/5HNtn3x5UjqLewTEZjfy2/FM+evwB1n7wDsaa6lZKKrwN\n1ZPjIkwmEwaDgZiYGK655hoSExOJi4tj0KBBp+UrKioiOTkZg8HQZA/GjBkzmDlzJn5+fmzYsIFl\ny5Zx7733UlJSgslkYs6cOaf1yDRFSkoKL7zwApMmTaKmpgaDwcCLL75ISkpKs2V69OjBsGHDKC0t\nZdGiRfj6nr4Me9KkSUydOpUvvviC119/vdV5OY1JT0/npZdeQq/XExgYyJIlS4iKimLx4sVce+21\ntmGc+fPn07tXLyxmMxUlRURFReEbEMBtt9/B3XffbTsv9XTt2pXnn3+eiy++GLPZzKRJk5g8efJZ\n2XY2TJgwgUWLFtG/f3/i4+MZMWIEAEePHuWWW26x9eI999xzAHz44YfcfffdzJ8/H6PRyJ///OfT\netjam7jkSK5+yP2WiSvcA7PJwoYV+6mtMnHN40MJCGnfnh2dXs+Nz/+TtR+8Q8ZXn7Nv0wbG3Tmb\nmITk1gsrvALhDbEHUlNTZUZGxmnHsrOz6d+/v13l63/4HcmWLVu444472LhxY7N5YmNjycjIIDLS\neUs1G+MMrc6kprKCkpN5SIuFoIgo/EPs/zHuaFobcjb3L1h7585muea+zJMERfjSOTb4HKxzLWer\ntSPjDloLj5az7IUMomKCmHzfIKfsW2aPzsPbt/DDm69TcjKPW/6xiPBu3R1uR3vgDte0vWiLViFE\nppQytbV8arjKDhz9Q7ho0SKuvfZa5s+f79B6HUFH+dGXFgtlBfkUHT+GRqslvHvMWTk40HG0OoKz\n+SLJ3V3Ej+/sYJMTg745E2/5gQD30BrRPZBLburP8f0lbPh8v1PasEdnj8SB3PzSQibNedjm4NRW\nteMydwfhDte0vVBxctwER8fJmTlzJjt37mTcuHEt5svJyWnXXhxwbkwgR2KsqaGipBj/kJCzmlzc\nkI6i1RHYu0qr8Gg53y7aRkgnfy69ZYCTrXIO7rAirb1wF619UjuTOLo7W9YcofBoucPrt1en3uBL\n3xEXAHBsTzZv/eVWsn9Jd7g9zsRdrml7oOLkuAn1sWO8AXfWKqW0TSz08fMjMqYnwZGd0GjO7TZ2\nZ62Oxp54FOVFNaxcuAWdj4aJs5LxDdC3g2WOR8UZcQ0jJvfi4hv6Eda16VWcbeFcdAZFRBEe3YNv\nXl/AD2++jrG2YzgP7nRNnU17aFVOjqJDYDGbKck7QWHuEZujo3PSnmLeSsa3OdRUmpg4ayDBEWqz\nUsXZYfDXM+D8bmg0wi32mQqKiGT6U88x7MppbFv9PR89/gCFRz0zgKCieZSTo3B7aqsqKcw9TE1l\nBUERkeh8vGcuTXty4bQ+XPXAYKJiglxtiqIDsy/zJEufy8BU6/qtFzRaLRdeezNXP/o0FcVF7Fy7\nuvVCCo9COTkKt6b8VCGnjh1FCEF4t2gCQsPaFHhQcSbH9xVTXWFEq9cQ1UM5OIq24ReoJ/9wGVmr\nDreeuZ2ITRnCTS++zqhrrgew9ghXq5g63oByclxIYGDgOZVbtGgRS5YsAay7kB87dsyRZrkdfkHB\nhEf3QN8oFo+i7ZQXVfP1G1v5aUm2q01ReAjd48PoPTiKzO8OUV7kPo5EYFg4Wp0ek9HI588/xYeP\n30/BkUOuNkvhZJSTYwc+bjb3Y+bMmdx0003AuTk5zW1XAO6h1VRbS211FQABYeGEdOp8zpOLW8Id\ntLYXTS3VlBbJ6veyMZssjJpyXvsb5STUElzXM2rKeUgLbFjumCXljtSp0+sZe+dsqspK+fCx+9me\nvsphdTsCd72mzkAtIXcTnBlPJT093bYpJMCsWbNYvHgxYL0BHnroIZKSkhg2bJhtO4N58+axYMEC\nli1bRkZGBtdffz0pKSlUVVWRmZnJ6NGjGTJkCOPHj+f48eMApKWlMWfOHFJTU/nnP//pEq32UFNZ\nQeHRI5Tm5yOldOrQlKu1tidNfZls+ekIubuKuGBaH0I7+7e/UU5C/Ui4nuBIP1LGxrBnYx4FuW1f\nUu5onbHJg7jxhdfo2iee7//9Kt+98Somo9GhbZwr7npNnUF7aFXbOtTx6dOPnHGs1+BhDJ00BYvF\nwtJnHms2vany05963iF2hYSEsG3bNpYsWcKcOXNYuXKlLW3q1KksXLiQBQsWkJqaitFoZPbs2Xzx\nxRdERUXx6aef8vjjj/POO+8A1l27G0d+bozFYnFKr0lrSCmpLCmmrLAAvcFAaOeuTp974yqtrqBx\ndOfCo+VsWLGf2ORIBlzQzYWWOZ6OHMn6bHFnrYPH96RzbDAR3du+pNwZOgPDwpn612fYsOxjDm/f\nCm6wIgzc+5o6mvbQ6h3f8G3ElfFUrr32Wtvf1mIK7N69m+3btzN27FhSUlKYP38+ubm5tvTp06e3\n2p4rtEqLhdL8PMoKC/ANDCSsWzRavfNjtHhznBy9QUvPhAguubGfx03kVnFG3AMfXx1xA6MQQmA2\nty3wprN0ajRazr/mBq558ll0Pj5Ul5dTdPyoU9qyF3e+po6mPbSqnpw6Wut5aWt6c+h0utMi71Y3\nmvHf8AeotR8jKSUJCQnN3jgBAY4P0uUQhMBsMhMYFk5AWLjH/ei6I8GRflx2t9rEUOF8dv12nE1f\n5zD98aH4+LrnT45WZ7Vr1dv/4tC2LCY/8DjRAxJdbJXCEaieHBfTs2dPdu7cSU1NDcXFxaxefXoc\nh08//dT2d+TIkWeUDwoKoqysDID4+Hjy8/NtTo7RaGTHjh1OVnDuGGuqMZtMCCEI69qNwPAI5eA4\nmdxdp/jm31uprnCP+QcKzyescwCl+VVkfuv+K5kuuPZm/INDWDr/r+xQMXU8Avd0q70Ak8mEwWAg\nJiaGa665hsTEROLi4hg0aNBp+YqKikhOTsZgMPDxxx+fUc+MGTOYOXMmfn5+bNiwgWXLlnHvvfdS\nUlKCyWRizpw5JCQktJcsu6kuL6PkZB6GgIB2mX+jgOoKI6sWZ6M3aNHq1fONon3oHBdMvxFdyFp9\nmAEXdCMkyn2jaYd27sK18xfw1T+e5bs3XqE47zijpl2vvp86MMrJcRE7duygd+/eALz44ou8+OKL\nTeabO3cuL7zwwmnH5s2bZ3t/9dVXc/XVV9s+p6Sk8PPPP59RT3p6etuNdgBSSiqKTlFedAq9ry9B\nEVGuNskrkFKy9uPdVJXWctnDQ9D7aF1tksKLGHFlb/b9kc/6z/fxp7uSXG1Oi/gGBDLl0b+x6u03\n2PLDNwwcexmBYeGuNktxjignxw4cHU9l0aJFvPbaa7z66qsOrdcRODN2jLRYKDmZR3VFOX5BwQRH\nRiFcuLrJm+Lk+FRGsjPjJMMn96JTz2BXm+NU1BJc9yMg1MCgS2PY9HUOpQVVBEeeXW9Oe+vU6nSM\nu2s25dOuIzAsHCklNZUV+AacWwDXs6GjXFNH0B5ahTtspOZsUlNTZeOl09nZ2fTv399FFnknZqOR\nU8dy8Q8JxT8kVHUBt4GzuX/NZgsfPvEbgWEGrnxgMBqNOu+K9qeqrJaSgio6xwZ3uP/9DZ99zI61\nq7nq4aeI6B7janMUgBAiU0qZ2lo+rx6Yt9fBa7j6ydNxhlaLxYyUEq1eT0RMT7fZf6qjXtezfTDR\najVcfm8il946wCscnJqaGleb0G50JK1+QT50iQs5p/99V+uMTR6Msbqaj594kMPbtzi1LVdrbU/a\nQ6vXOjm+vr4UFhba9YPhTfFUHK3VbDJx6thRygsLANwq+F5HvK5SSgoLC/G1cx+vqrJapJRs27WZ\n4Aj3nfDpSFScEffFZDSz5sNdZK8/flblXK2za594rpv/MoFhEXz27JPsWn/mvEdH4Wqt7YnXxckR\nQkwA/glogbellGcEnxFCpAGvAnqgQEo5+lzaio6OJjc3l/z8/FbzVldX2/2j0tFxpFaL2UxlSTEW\niwX/4BB0+QUOqddRdNTr6uvrS3R0dKv5LBbJF//MIrxrAD6928EwhaIVtDoNJ3NKObG/hH4ju7hF\nj669hHTqzLXPvMTyF/7Gtwtfput5fQnp1MXVZilawW2cHCGEFvgXMBbIBTYJIb6UUu5skCcUeAOY\nIKU8LITodK7t6fV64uLi7Mqbnp5+xtJuT8VRWk8dO8qy+X+ltqqSqx5+iu79BjjAOsfi6dd114bj\nFOaWM2R8T45WtO7MKxTORghBUlo0a97fxbG9xXTvG+Zqk84Kg38AVz/6NId3bFEOTgfBfcYOYBiw\nT0p5QEpZC3wCTG6U5zrgcynlYQAp5cl2tlFhB8aaapY+8xgmYy3TnnzWLR0cT6e22sRvXxygS69g\nzks952cBhcLh9B3aGUOAjm3pua1ndkP0vr70HjIcgJwtm9m66jsXW6RoCbfpyQG6A0cafM4FhjfK\n0xfQCyHSgSDgn1LKJU1VJoS4E7gToFu3bk3GiRk5ciQGg4GcnBxycnKaTa+trW1T+Y6UXl5ebtPa\nlvo7pY5i5CWX0jmut1vpa0j9xGN3ta8t6XlbLVSVwmV3J3Ho0KHTrqs72OfM9Hqt7mqfI9OhY96/\ngTEWDmTlU15UQ0HJ8VbLu+v9u+2nH9jz2y/syt5Jp6TBDqlf3b/2lbcXt1lCLoSYinUY6va6zzcC\nw6WUsxrkWQikAmMAP2ADcLmUck9LdTe1hPxsyMnJ8ZrYBW3Renj7Fmqrqjhv6AjHGuUkPPW6mk0W\nPnhyA117hzLuNmu0a0/V2hRKq/tTkl/FxpUHGD6pl10xc9xVp9lkZOWrL7Bv02+MvuFWUidNaXOd\n7qrVGbRFq71LyN3JyRkJzJNSjq/7/CiAlPK5BnkeAfyklE/Vff5/wHdSyqUt1d1WJ0fROvszf+er\nV54nMqYn1/39ZTQaFVHXldRWmTAZLfgHe0/AQ4XCFZhNJr5Z+DJ7Nqzjgj/fxPCrrnG1SV5BR4yT\nswnoI4SIE0L4AH8GvmyU5wvgAiGETgjhj3U4K9vZhqm4BS2T/etavljwd6J6xHL1Y3/rMA6OJ17X\nipIaLGYLPn660xwcT9TaHEprxyH/SBknDpS0ms+ddWp1Oi6f/SD9L0gj7+A+ZBvjb7mzVkfjVXFy\npJQmYBbwPVbH5b9Syh1CiJlCiJl1ebKB74CtwEasy8y3O9s2Fbegefb89gvfvv4y3fsNYNoTf8cv\nqONsGeBp11VKybeLtvHV62cGK/M0rS2htHYMpJR8/9Z2fl22t9W87q5To9Uy4S/3cfm9DyE0Gmoq\nK886aGc97q7VkbSHVrdxcgCklN9IKftKKXtLKf9ed2yRlHJRgzwvSSkHSCkTpZTut/mTl3EwK5Ou\nffsx5ZF5+Pj5u9ocr2ZvRh55B0vpM7Szq01RKFpFCEHS6GhOHCgl/3CZq81pMxqNFq1OR3VFOR/9\n9QHWfvDOOTs6CsfhVk6OouNQ/8877s7ZXP3Y0+gNHS+onidhqjWz4fP9RMYE0m9kV1ebo1DYRb+R\nXdD5aDrscvKmMPgH0CNxIJkrl7PmvTeVo+NilJOjOGvyD+fw8V8fpDT/JEKjwcfXO7YLcGeyVh+h\nvKiGC6b28Yr9qRSegcFfT/zwLuzZlEd1hdHV5jgEIQSX3HIXQy6fzB/ffsWGZR+72iSvRjk5irOi\nOO8En/39CcoK85GyY25w6WlYzBb2/H6CuIGRdI/vWBFkFYr+53dDSkn+oY4/ZFWPEILRN95OwuhL\n2bDsI7anr3K1SV6LOwUDdFu8JWYBtKy1/FQhy+Y/jtlkYvq85zt8WHNPua4arYbpfx2GscbcbB5P\n0WoPSmvHolOPIG5bcCE+vs3/HHVEnUIIxt45C72vgZgBiXaX64haz5X20Oo2cXKciYqT03aqysv4\n77xHKDmZx7Qn/07X8+JdbZICMBstIKwbHyoUCvdFWiyUnMwjtIuaM+cIOmKcHLdFxS0AU00NQqNh\n8pCxbu8AACAASURBVNy/eoyD4wnXNXv9Md5/fD0VJS1r8QSt9qK0djyK8ypZ9kIGR/cUNZnuCTp/\n+fR9PnhsDgVHDrWYzxO02otXxclxZ7w5boHZZMRiMRMUEckNz79Kz6QUF1nmeDr6dbVYJH+sOkJA\nmG+rkY07utazQWntePiH+JB/pIycrQVNpnuCzuQx49HpffjsuacoK2xaJ3iGVnvxujg5CvfCYjHz\n9Wsv8c3rLyOl7DCRjL2Fg1vyKc2vYtDYHgihVlQpOi4+vjq69w0jZ1uhq01xGiGdujDl0aeprazg\ns2efpLq83NUmeQXKyVE0iZSSH9/8F3t/X0/X8+LVj6gbkvXjYYIjfek1KMrVpigUbSY2KYLivEqK\nT1a62hSn0Sm2F5MffILiE8f48uW/qxg67YBychRN8vvy/7J9zQ+MmDKdIZdPdrU5ikacOFDCiQOl\npFzaQ8XFUXgEPRMjATjkwb05AD0Sk/nTrAcZfNlk9fDYDqgl5Ioz2JfxO79++j79L0hj1DU3uNoc\nRRN0ig1m/B2J9EyMcLUpCoVDCInyo++wzq3OL/ME4kdeYHuff+ggkT1ilcPjJFRPjh14W9wCIQQ9\nEpMZe9dsj/7H68jXVaMRnDekE3qDffOkOrLWs0Vp7biMvTWhyb3XPE1nPSf27eH9R/6P3z7/xHbM\nU7U2hYqT4yBUnBz7kFLanJqG7xXuxW8r9uPjp2Pw+J6uNkWhcDi11SaM1WYCQg2uNsXpSCn57o1X\n2PnzT1xx/2P0GT7K1SZ1GFScHAfiDXELLGYzy194mk1frwDwCgenI17XytJaslYdoSS/6qzKdUSt\n54rS2nGRFskHT/7Gb18eOO24p+msxxoVeTZdz4vn2zdeofDoEY/V2hQqTo6b4A1xC37+aDEH/8jg\n0OEjrjal3eiI13Vbei5ms4WUS2POqlxH1HquKK0dF6ERRPcN5dC2AqTlf6MMnqazITq9nkn3P4re\nYODLBX/nl7VrXW1Su6Hi5CjahR1rV5O5cjkp4ycS2T/J1eYomsFYY2bb2lzikiMJ6xLganMUCqfQ\nMymSqjIjJz1ow87WCIqIZOL/PcR5w0ai0an1QI5EOTlezvF9u/nxrYXEJCSTdtPtrjZH0QJ7N+VR\nU2Ei5dIerjZFoXAaPRMiEAJytjUfFdgTiUlI5sJrb0ZoNJhqa11tjsegnBwv5/D2rQSGhTNxzsNo\n1ROEWxMc6cuAC7vR9bwQV5uiUDgN30A9nWKDyd3V9D5Wnk5VYT7/b86dHNqa5WpTPAL1q+blDL9y\nGinjLsfg7+9qUxStEN0vnOh+4a42Q6FwOiMm90Kj885ncJ/gEAx+/qx87UVufO5VgqM6udqkDo13\n3kVniafFLZBS8vOH73J8727+P3vnHSZVdf7xz5m6vRe2wdI7SBUEBKyoKBasscdCjCZGk5ifiTGJ\nMcUUE1vUGFvUWLAL2ChiAekddllh2d57nXZ+f8zSt8zuzsy9M3M+z7MP7Nxz73m/e+6deeec874v\ncJyDE2xauyOQtJYdqKexpq3P5weS1v6itAY+maMSSB8Wd+T3YNXZGUOHj2DRT3+Jy+Hgg7//IaiX\nrvwxrsrJ8YBge8C2fvwRGz94m4PbNp90LNi0dkegaJVSsvKlvXz2/O4+XyNQtHoDpTXwcTpcHNxe\nSXWxu4hlsOrsjOzsbOLTMjjvznspP5DH5/95KmhrXCknRycEU96CivwDrH3lPwyZMp2Zl1110vFg\n0toTgaK1sqCRuvIWRp46oM/XCBSt3kBpDQ4+fnYXuRvKgODWeSKHtQ6beiozLr2SurJSHLbg1K/y\n5OiEYMnRYG9vY9ljfyEsOoZzl/wYYTh5+INFqycEitac9WUYTIKhk/u+Nh8oWr2B0hr4GE0GEtIj\nqSx0z+QEq87OOFbrzMuv4fIHHsZsDdPQIt+h8uQovMrWjz+ipriQBXf8hIgYFaETCDidLvZvKmfw\n+CTCIs1am6NQ+I3krGgqCxqDdqnGEwwGI0aTiZaGepY//ldaGuq1NingUNFVIcSUCxaRlDWI7AmT\ntDZF4SEVBxtobbQzoh9LVQpFIJKUFc3eb0pprgvOpZre0FRTTe76r7C3t3PRvfeHRNkdb6FmckKA\nloZ62pqaMJrMDJk8TWtzFL0gbVgc1z40k0HjErU2RaHwK8lZUQBHlqxCmZTsIcy68jryNq5j75er\ntTYnoFBOTpBzuMrta7+6B6fDobU5ij4QmxyOMURzhihCl+SB0Sz+xVSyRsdrbYoumLLwYjJGjWHl\n80/TUFWptTkBg3rn9IBADl/c9ukyDm7dxKQFF3qU0TiQtfYWvWvN3VDG8n/toL3F3u9r6V2rN1Fa\ngwOTxUhqdgwmszGodZ5IV1oNBiML7rgH6XLxxcvP+dcoH+GPcVV7cjwgUB+wqsJDrP3v8wyeNJVT\nzl3o0TmBqrUv6F3r3m9KaahuwxLe/8dU71q9idIaPJTm1VGcW8vU8wdrbYrf6G5M41IHcOFPfkHy\noOD4e6g8OTohEHM0OOx2lj/2F8zh4e5wcQ83qgWi1r6iZ61Nte0U5dQycnqqVzYZ6lmrt1Fag4fS\n7+r59oOD1NeEzr6cnsZ08KSpRCUkIl2ugI+2UnlydEIg5mhob27CFBbGuUt+TGSc52vagai1r+hZ\na/7OKpAwbGqqV66nZ63eRmkNHpKzogH48rONGlviPzwd04/+8Wfe/fNvcTmdPrbId6g8OYo+ExkX\nz9W/fYShU6ZrbYqiDxTsriY6MYz4AapwqiJ0SRrojrBqC82C5N0yYuZsyvJy2fD+Uq1N0TXKyQky\nWhsb+OTpx2hpqO80o7EiMEhIi2TMrDSVD0MR0oRHWYiKt9JWF7oJAbti5Mw5jJo1l3VLX6P84Hda\nm6Nb1KdgkPHFf59nz9qVNFZXaW2Koh/MuHhoSG22VCi6IjoxDHuL1lbokzNuXkJ4TCwrnvhbUFcr\n7w/KyQkiCvfsZPcXnzP1wktJHTxUa3MUfaSptg2X06W1GQqFLjj/BxPInqdmNDsjPCqac5f8mNbG\nBmrLSrQ2R5eoEHIPCIQwTafDzufPPUVMciozLr2yz9cJBK3eQq9alz21g8hYKwvvnOi1a+pVqy9Q\nWoOLsEgzg4eEzqxmb8d08ClTuOWx5zCHBV4RTxVCrhMC4Y1k00fvUVNcyJk3L+lXxdpA0Oot9Ki1\nub6dqsIm0oZ5t4CqHrX6CqU1uCg7UM+hde3Y2kIjY3tfxtQcFobT4WD7ZytwOvqfPNRfKCdHJwRC\nLorRs+Yy55ob+12bKhC0egs9ai3cUwPAwLHerVWlR62+QmkNLuorW9n1RXHIFOrs65gW7d3F5889\nyZblH3jZIt+h8uToBD3nopBSIqUkJjmF6YsW9/t6etbqbfSotWB3NeExFpIyorx6XT1q9RVKa3AR\nGWcFoLk+NDbW9nVMB40/haFTT2Xd0v/RWBMYgScqT46iR/I2ruPtP/w64DNfKsDlkhTsrWHgmASE\nQW20VCgAImMtACEzk9Mf5l1/Ky6Xk7WvvKC1KbpBOTkBjK2tlVUvPktLfR1hkd795q/QACk547rR\njJ+bqbUlCoVuiIx1z+S0hMhMTn+ISx3AtIsWs+/rLyjcs1Nrc3SBiq4KYL556zWaqqu48O77MBiN\nWpuj6CcGo4EhpyRrbYZCoSvMYUYMJmhtVE6OJ0y/eDGl+/chULPBoJycgKUi/wBblr/PhDMXkD5i\ntNbmKLzA3m9KSM2OJSE9UmtTFArdIIRg5MWC084aprUpAYHZYmXxLx/S2gzdoJarPECPYZpfvf4y\nYVHRzL7mBq9eV49afYWetNptTla/kkPuhjKfXF9PWn2N0hp8DBmm8uT0FntbG1+/+SrNdfot/KVC\nyHWCHt9IFtzxEy66937Co6K9el09avUVetJaVdCIdElSh3g3P85h9KTV1yitwYetMoyv3tyvtRl+\nwVtj2lRbzcb33+LL1170yvV8gXJydIKeclE4bDaklETExJI5aqzXr68nrb5GT1rL8xsASBnkXaf1\nMHrS6muU1uCj7EAdu78sRsrgL9TprTGNT8tgysJL2P3FSopz9nrlmt5G5cnRCXrKRfHl/17ifw/8\nFKfDN9k/9aTV1+hJa8WhRqLirUciSbyNnrT6GqU1+KioLcVhd2FrDf6sx94c0xmXXElUYhIrn/8X\nLpfTa9f1FipPjuI4Gqoq2P7pMhIzB2I0qT3jwURFfgMp2TFam6FQ6BJzuPvfUEkI6C3MYWHMu+77\nVOYfYMfnn2htjiaoT8oAYt3S/4EQzFx8tdamKLzM4vumhkxtHoWit4iODBlOu0tbQwKQETNmM2nB\nHlKyh2htiiYoJydAqC4qZPealUw+/0JiklK0NkfhZcKizIRFmbU2Q6HQJcIABoPA5Qz+PTneRgjB\nGTfdrrUZmqGr5SohxAIhRI4QIk8I8Ytu2k0TQjiEEP0v1hQgbPzwbcxhVqZffIXWpii8TN7mCjat\nyA+JTZUKRV+IThf84Kn5pA5WS7p9paW+jtUvPqvrkHJfoBsnRwhhBJ4EzgPGAFcLIcZ00e7PwKf+\nsk0PYZpn3HQ7l9z3IBExvgkxPowetPoLvWjN+baM3G/LEMJ3GUr1otUfKK3BR6joBN9pbW9pZusn\nH7Hh/aU+uX5fCLUQ8ulAnpTygJTSBrwOLOqk3V3A20CFvwzT+gFzuZxYwsLJHD3O531prdWf6EGr\nlNK96XiQb7+h6kGrv1Bag4/4yFRWvrSHqqImrU3xOb4a0/i0DMbMOYPtny3XTZVyf9y/etqTkwEU\nHvN7EXDqsQ2EEBnAJcB8YFp3FxNC3AbcBpCens6aNWtOajNz5kysViv5+fnk5+d3eTwvL4+ioqI+\nn9+f42W5e/n46ccYdPZCwuISfN6/lPLIjII/9Gl5fMqUKURHR2tqn71F0tJgo95ezpo1Fb0+39Pj\nBw8ePGmmSOu/v6+OH76H9WqfN48DlJaW6tY+bx3fs/kAB9dBi6mc6Izgfn/y5f0rMrNxOlfx7pP/\n4MqfP6C5fuj7/esxUkpd/ACLgeeO+f064IkT2rwFzOj4/4vAYk+uPWXKFNkfVq9e3a/z+4rL5ZKv\n3P8T+cwPbpT29na/9KmVVi3Qg9a8LeXyidtXytLv6nzajx60+gulNfhY8c4q+cTtK+V3Wyq0NsXn\n+HpMP33mcfnoNYtkfWW5T/vxhP5oBTZJDz7/9TSTUwxkHfN7ZsdrxzIVeL3jG2kScL4QwiGlfM8/\nJvqXvI3rKMvL5ZwlP8JksWhtjsIH1Fe0YjQbSMqK0toUhUK/dGyscDpVCHl/OfXSK2lpqMPl0F9y\nQF+gJydnIzBcCDEYt3NzFXDNsQ2klEeqtAkhXgQ+ClYHx+V08tXr/yUhPZOxp5+ptTkKHzH53EFM\nPCsLo1FP2+MUCn0hOh4PFULef2KSkln0019pbYbf0M07q5TSAdwJfALsBd6UUu4WQiwRQizR1jr/\nk7PuS2qKC5l11XUYjEatzVH4EOXgKBTdIwwgDEKlWfAitWUl7FgZ/FmQ9TSTg5RyObD8hNee7qLt\njf6wSStGzJgFwPDpp2lsicJXSJdk+dM7GX1aGkNOSdbaHIVCt1giBXc8NU9rM4KK7Z8uY8vyD8ka\nM474tAytzfEZ6iukB2gRpmk0mRk9e55Pc6d0RqiEpIL2Wpvq2snfUUVLg+/r8Wit1Z8orcFHqOgE\n/2mddtFijBazu1yQRoRanhzd4s8HTErJO3/6Dfu+Weu3Po9FvZn4j/qKFgDiUsJ93pfWWv2J0hp8\nZKZnsfKlPRzaVa21KT7HX2MaGRfPpHMXsvfrL6guKvBLnyeinByd0N7e7re+8rdt5uDWTbgc2hRr\n9KdWrdFaa11FKwCxKRE+70trrf5EaQ0+2tvb2beujOri4E8G6M8xnXrhpZitYXzz1mt+6/NY/KFV\nOTkesG7dOr/1temjd4mKT2DkaXP81uex+FOr1mittb6yFaPJQFSc1ed9aa3Vnyitwcf69d+6/+Pf\n1XtN8OeYRsTEMnXhxRjNZlwu/4eU+0OrrjYehzoV+Qco2LWdOdfciNGkKlIHO9IlScqKQhhC4J1b\noegHro6JbWu4+sjyNqdd/j2tTfAp6o7REZuXvYfZGsaEMxdobYrCD8y+fLjWJigUAYHL7v7XHKbS\nafiKykMHiU1JxRLu++Vzf6KWq3TE4FOmMOvKawmLUtlvFQqF4jAuBxiMAkuY+l7uC6qLCnj553ex\ne+0qrU3xOsrJ0RGjZs1lygUXa22Gwg801bbx9iObKMqp1doUhUL3hCcIfvDkfAaNS9TalKAkMXMg\nacNGsnXFh0hXcJXOUE6OB/g6zM3e1sbGD9+hrUn7yIFQCUkFbbXWlbdQdqAB/JTBVY1rcBIqWg/r\n9HfeMC3QakwnnXchtaXF5O/Y6rc+VQi5TvD1QOxa8xlrX3me6uJCn/bjCaHypgnaam2qc4dORsWH\n+aU/Na7BSahoNbXHsvLFPbQ12bU2xedoNaYjZswiMj6BLSs+8FufysnRCb6M5Xe5nGxe/j5pw0eS\nMXK0z/rxlFDJuwHaam1tdL9Zh0f7J4pOjWtwEipaKwrq2Le+LCRqV2k1pkaTmYlnn0fh7h201Nf5\npU+VJ0cn+DKW/7tN31JfXsbUhZf4rI/eECp5N0BbrW1NdvdGSj+FxKpxDU5CRet3ufkAIbHxWMsx\nnbTgQm594nkiYuP80p/KkxMCbProPWKSUxk2babWpij8iDnMSMqg6JDYY6BQ9BeXQ2IwCYxm9b3c\nl4RFHo3slS4XwhD4f+/AVxDAtLe0IJ1Oppx/EQajyv8QSkw9L5vLfj5VazMUioDAaQ+NWRw9YG9r\n4/UH7/Pr3hxfopwcDbFGRHD17//KKQsWam2KQqFQ6BcJ1gjl5PgDc1gYINn68YealHrwNsrJ0Qin\nw05bUxNCCAwGNYsTaix7cjublh/U2gyFIiBIn2bge7+dobUZIcOkBRdRX1HOgS2btDal3ygnxwN8\nEeaWt/Fbnl5yHZWH9PVBFyohqaCt1pK8eloa/RcOq8Y1OAkVrdnZ2SGzf00PYzp8+kyiEpPY+vGH\nPu1HhZDrBF8MxO4vPic8OobErIFev3Z/0MMD5i+00up0uLC1OgiP8l8RVjWuwUmoaM3/uo09X5do\nbYZf0MOYGoxGxs8/m4Jd22msqfJZP/7QqhY5PaC9vR2r1eq16zXX1ZK/fQvTLrxUd0tV3taqZ7TS\nejihmT+dHDWuwUkoaJVSsm99GeYQ2XislzEdM+cMTBYrJrPFZ334Q6uayfEAb8fy7/1yNdLlYszc\nM716XW8QKnk3QDutrU02AMKifPfmcSJqXIOTUNDa0mDDaXcRneCf7OBao5cxjRuQxvRFiwmPjvFZ\nH/7QqpwcPyOlZPcXK0kbNpLEjCytzVFogHRB8sDokHnTVij6Q2NNGwAxiep58TcOm419X39BXVmp\n1qb0mdCY/9MZC+74CXZbaKRjV5xM8sBorrh/mtZmKBQBQWO128mJVk6O37G1trD8ib8x7aLLmHP1\nDVqb0yfUTI6fEUKQOmQYmaPGam2KQqFQ6B57uxODCTXzqQERsXEMmjCJfV9/gXS5tDanTygnx484\nHXY+/8+/qCzI19oUhYYU7q3hzT9spL6yRWtTFArdM2ZWOqMu81+dN8XxjJk9j4bKCopz9mhtSp9Q\nd40HeCvM7cDWTWz/dBlDJk8leaB3rult9BC+6C+00traZKOyoBGX038VldW49hGHDeoOQWMptDVA\nWz0422Hqze7j2/4HZTvAaAaDGYwWMIfDrB+5j9cXg8EIkcnuf71MqIzr4MGDtTbBb+htTIdOm4HJ\namXvl2vIHD3Oq9dWIeQ6wVsDseeLlUTGxZM9YbJXrucL9PaA+RLN8uTY3c6N0eS/iVQ1rj3Q3gQl\nW6BsFzQUw7kPu19/93bY/c7xbY2Wo05OwTew+z1w2tw/0gWWqKNOzqe/hN3v4l5vSYPYLEibCAv+\nCF5IbhcK4/r5i3tIzoqGbK0t8Q96G1NLWDjDp82kNC8HKaVXkzIqJ0cneCOWv6WhngNbNjLpPH0X\n49RLjgZ/oJVWl9O9tu1PJ0eNaxdsew3WPwXlu90OCoA1Fub9H1ijYPL1MPwciEmH8DgIiwVrDEjp\ndlIuetz9cxiX011N8jDTb4fs2dBQ4v6pOQiF6486OG9eD00VkD4JhsyHwaeD2fO9J8E+rlJKDmyt\nxGQNjWzHoM8xPePmJVjDI7yedVrlydEJ3ojlz1n3JS6nk7E6zI1zLHrJ0eAPtNLqdLg/TA0m/71x\nh/y4Oh2Q/xV88kt4fArUF7lfly6ISIQ5P4XvLYWf5sEvDrkdHICh8+GUq2HIXPcMTHw2RCR0PQtj\nMB7vpAyaCdNugTN/DZc8Dd//BG5dffR48ii3DZtegNcuh0cGw4r7+qc1iGhvdmBvd1LVUKa1KX5D\nj2MaFhmFMBiQ0rtL7P7QqmZy/IS9rY204SN1uxdH4T/CIs0kD4z260xOyFKxD776O+R+Am117qWm\nwae799fEApOudf94iLOpGdt3eVgGDcIYF0frrt3UvPwSzppaHDXVOGvrwOEg/S+PEDljBk1ffkXZ\nb34DBgOGqChMKcmYkpNJuP56wkaMwDFxCY60S7EOzEAUfwu5KyB6QEdnDnjlUhh1AUy40j2TFGIc\nzpFjidTYEAX7v/2GNf99jusfeRxrROAMiHJy/MT0RYuZdtFlWpuh0AEjpg9gxPQBWpsRtEQ0F0L5\nHkgdAyYr5K2EkefDyAUw9AywRnt8LVthIbWvv057Xh7t+/fjKHEnRcv45z+JOfccXI0NtG7egjEh\nAXNyCmEjRiLMJowJCQAY4+KImDoV6XLhamjAUVlJ+569xF16KQDNX39Dyc9+hrBYsI4cSdjYMYSN\nzSS6thaTocW90XnFz+Hz38C4y9x7gTL0u6fP2zRUtQJgjtDYEAVRCYk0VFaw/9tvGDf/bK3N8Rjl\n5PgBh82GyWIJmSq6CoXfcbTDzrdg80tML9oAjQvhqlchYTD8dD8Yep41s5dX0LJhAy0bviXqzDOJ\nnjcPV2Mjtf99BcuQIURMnoL1imFYhw8jfNIkACJnzmTYys+7vGb4+HGE//lPXR6PnHEq6X/7K227\n99C2ezcNy5ZT9/obREyZgmnIEFqm/A3b9i+JCs/BtOtt2PpfuPYdGKbvZW9v4bC7iIyzYo2xaW1K\nyDNg2AjiBqSx75u1yslRHM9n/36C2rISrnnor1qbotABe74uYcfqIq64fxoGg3J8+83G5+CLv0BT\nGSSNJG/oTQxbeP/R4904OK7WVmpeepmGFStoz8lxN4+OxjpyFADWUaMYuWUzwuSbt0pTcjKxF1xA\n7AUXACBdLuyFhZiz3CVf6pcto+5/r4PBQPjEuUSPiifakI0FYMvLDCjNBedsMAbnW/nIUwcw8tQB\nrFmzRmtTQh4hBMOmzWTrig+wtbViCQvX2iSPUJsCPKA/YW4ul5ODWzcRlxIYyxN6C1/0JVppbWuy\nU13UdGQDsj8IunFtrnJHOIF7E3HKKLjuPfjht5jm3A1RKV2eaisqorljw6OwWKh99VUMERGk/Oyn\nZC9dyoj160i49nvu4waDzxyczhAGA5ZBgxAdjtmAX/+awe+8TdKSJbha26n43xryr7sBabfDnvcZ\nlfM4PDXDHaYeoBlpPSHo7t9u0LPWwadMwelwULBrh1eup0LIdUJ/BqI0N4fWxgaGTJnuPYN8iJ4f\nMG+jldbDG46ddhdmi3/SCQTNuLY3wbon4Ot/wuUvwYhz4IwHjku015lW6XTStHYtta++RvNXX2Ea\nMIBhq1chjEaGfrwCQ6Q+N1IKIQgbM4awMWNI/tFd2IqKcZSVIsxm5FVvUHDVxUTFFhFXehPGQRPg\n3D+4Q9aDgLZmO28/spmZlwxlyCnZWpvjN/T8rGaMGsPYuWcRGeudTfDKydEJ/YnlP7BlAwajkeyJ\ngbFZUI85GnyFVlqN5g4nx48zOQE/ri4nbH0FVj8MTeUw9hJIGuY+dkIm4RO1NnzyKRV/+Qv2oiJM\nKSkk3XUnsYsuPrJHTq8OTmdYMjOwZGYA4KipwWWNo+Lr76i0DiR2aBVJE0oxZ2tro7eoLmqirrwF\nk9kQ+PdvL9CzVqPJzII77vba9VSeHJ3Qn1j+7zZvIGPUWMIio7xoke/QY44GX6GV1mNncvxFQI+r\nlPDShfDhj9x5ar7/GVz+IiQM6bT5unXrcFRV4WxoAEAYDZgHDCDjH48ybOXnJP/wh0cchUDGnJLC\noVtvYfC77xBzwYXU7zfx3Q//ROvOnbD+X7D3I61N7BdVRU0AJGVFB/b920v0rlVKSU1JES31df2+\nlj+0KifHh0iXi0kLLmTy+Yu0NkWhIyJiLaQM8jyMOWRpqz+aWXjSde7lqZs/gayul34dNTVEvf0O\neWedTfVz/wEg6swzGfTKf4lZsABhNvvLer8RNno06X94mCHLPiLu0ksJGz4MdryJ/fnrkW/dDM3V\nWpvYJ6oKG4mIsRARY9HaFMUxNNVW88JPlrBn7SqtTfEItVzlQ4TBwMSzz9PaDIXOGDQ2kUFjE7U2\nQ9/seR+W/8y932byde6sw93gam6m6t//publ/xLR2kr0woXEXnIxQMikbrAMHMiAX/0SAOdV73Lw\nrDOwrF9L6qZTCb/1mYALO68saiIpS30Z0BvRCUkkZg7k4LbNTL3wUq3N6RE1k+NDvtu8gabaGq3N\nUCgCh5YaeOM6d02nqFRIm+DRaSW/+AXVTz9D9Ly5VP/6ATL+8gjWEKpcfSKGyGhSfn4/NkcS+R+a\nqX7gBmT1Aa3N8hgpJYkZkQwck6C1KYpOGDxpKkV7d2NrbdHalB5RTo6PaG9p4YO//YHNy97T2hSF\nzqg41MAbD2+gPL9Ba1P0RcF6eHo25KyAMx+EW1e560V1Qfv+/Tiq3UsxSXfeyaD/vUbG3/+OdxMt\nOQAAIABJREFUMy3NXxbrFmE0Erd4MUM//oTo+fOp2BpN4S/+hLOp6WjovY4RQnD2TWOZeGaW1qYo\nOmHwKVNxOb0XSu5LlJPjAX0Jczu0Ywsup4OhARI6fhg9hy96G620upySqsIm2prtPTf2EgExrvVF\n7tpS3/8U5twDxs73z7hsNir+9ncOXHwJVU8+CUDYyJFEdGQhDgitXqInrcbYWDKeeJIBD/4aDAJD\n2SZ48QJoLPePgX3E5Tx+U74aU32RMWo05rBwDm7b1K/r+EOrcnI8oC8DcWDLRsKiokkfMdr7BvmQ\nQHjAvIVWWs1Wd8izrdXhtz51O64tNe7imQDjF8Md67utzdSWk0v+5VdQ/e9/E3vRRSTddddJbXSr\n1Qd4olUIQfzVV5P19NMIexP2vG1U3TEPWbrT9wb2ka/eyuPVB9cfqXqtxlRfGE1mLrr3fmZcdlW/\nrqOcHJ3Q3t7e63MK9+wia+x4DEb/JHvzFn3RGqhopTU82h0t0tbkv5kcXY5rVR48dxa8fau7KjiA\nOazL5g3Ll5O/eDGOqioyn3qK9D/+AVN8/EntdKnVR/RGqxACRi+kIfUuKjdC6W2XIYv16eiU5NUR\nFW89smlcjan+yJ4wieiEpH5dwx9alZPjAb2N5W+qqaahspyMkWN8ZJHv0HuOBm+ildawKDMIaG30\nX9FB3Y3rgS/guTPdYeLfexPCYno8JWz8eKLPW8CQDz8g+oz5XbbTnVYf0hetCXf9gqTvX0P9fiPF\nNy/GVZ7rA8v6zuGyJxkjjmbVVWOqP6SU7Pj8Y/Zv7Lu9Kk9OgBIZn8BNjz7D6NnztDZFoUMMBkHG\n8Di3sxOKbHkZXrkUotPcm4sHzuiyaeu2bZT97ndIKbFkZZHxyCOYElTETX8QQpD8swdI/dEtNB4y\nUPR/f8LVop8omZL97iRzGSNOnqVT6AchBFs/+YhtH+s76aTKk+MDhBAkpAd+RlWF77j4nsAo8+F1\npISiTTBkHix+ocsZHCkldW+8QdnDf8CcmkpiZSXmlK6Lbip6T8Id92JIG0rVU0/hLDuIIcYCScO1\nNoui3FpMZgMp2T3P7im0JXP0OHav+RyXy4nBoM+tGWomxwd889arHNzav13nCkVQIaV7k7EQsPBR\nuPr1rh0ch4Oy3/6Wst/8lsgZMxi89C3l4PiIuEsuZshHH2Jeex/yxQuRNYVam0TmyHimXpB9pPyJ\nQr+kDR+Jvb2N6sICrU3pEnUXeRlbWyvr33mDkty9Wpui0DHr3s3jw8e2aW2Gf5ASPv0VPDMXmqvc\nBTW7CA8HKLnvF9S9/gaJt95C1tP/whjnnYrHis4xWK3Ic/9I6WobxTctQtraNLVnyCnJTFmQrakN\nCs9IGz4SgNK8HI0t6Rrl5HhAb8LcyvJykS4X6QG46RgCI3zRW2iptb3FQWVho9/600zrYQdn3RMw\n8jwI73k/TcyFC0l94Fek3Hsvog/Rieoe7j0ibTzW0xbRmNNK1T2XeeWafaGhqpX6ypYjoeOHUWOq\nT+JS0wiLjqGmuG8zgP7QqvbkeEBvBqI4Zw8IQfqIUb4zyIcE0gPWX7TUGh5tobXJjsslMRh8X1tJ\nM61f/s3t4Ey7Fc77s3u5qhPs5eW0bNxE7MILiJ43r19dqnu4byTc/3fa83Ko+vwArntvwDhsBmFj\nxhA5Zw7C4J/vw9tWFrL36xJu+fvpGE1H7xU1pvpECMH3//ksYZFRfTo/5PLkCCEWCCFyhBB5Qohf\ndHL8e0KIHUKInUKIb4QQXed89yK9ieUvydlLUtYgrBGRPrTIdwRKjgZvoKXWiBgLSP+FkWuidfvr\nsOohGH8FnPdItw7Ooeuvp+x3v8PZ2P/ZLXUP9w0hBAOeWoohwkLNsg1U/vMxCm9fQtGddyFdrp4v\n4AWKc2pJGxZ30n4cNab6pa8ODoRYnhwhhBF4EjgPGANcLYQ4cc3nIDBXSjkeeAh41h+2eRrLL6Wk\nobKCjJGBleX4WAIlR4M30FJrTFI4AA1V/tn/oInWIfNh5p1w8VPQxUyAvbycgutvwFlVTdbTT2OM\n7n/VaXUP952WDRtxtRzveDetWkXzl196tZ/OaG20UVPSfFx+nMOoMdUvDVUVfPjonyjat7vX54Za\nnpzpQJ6U8oCU0ga8Diw6toGU8hspZW3Hr+uBTD/b2C1CCG78+7+Yd/2tWpui0DlxqeGkDYvV2gzf\nUJsPTgdEp8K5D3e5ydhRWUnB9TfgqKwk69//JmLyJP/aqTiJtj17On99r+8DKYpzVX6cQMQaEUnu\nt19TuFufxTr1tCcnAzh291IRcGo37b8PrOjqoBDiNuA2gPT0dNasWXNSm5kzZ2K1WsnPzyc/P7/L\n4zabrV/nB9LxpqamI1r1aJ83j7s6puC16v+Cu/yn/9hx9aU+S3s1Uzb/lOrEqSTe+Eq354/OycFe\nUYH59w+xoaEevGTfYa1a31/+OA7evX8tDieduRi5dge7fHz/FK13YbTA3vwt7CsQmty/ejgeaPdv\naUUlYXEJ7Fr/De2Jab06H/p+/3qMlFIXP8Bi4Lljfr8OeKKLtvOBvUCiJ9eeMmWK7A+rV6/2rN3L\nz8lVLz7br760xlOtwYDS6mVsLVI+M1fKh9OlLNvVY3OXyyXb8/O9boYa177jcjplwQ/ukHtGjjry\nk3/GKGmvKvVqP53RUN0qC3ZXd3pMjam++fhf/5BPfP9q6XK5enVef7QCm6QHn/96Wq4qBrKO+T2z\n47XjEEJMAJ4DFkkpq/1km0fkrv+Kpuoqrc1QBAgrX9oTXLlyVvwcSrbCpc9C6thOm0gpqfjrX2n/\n7juEEFgGDfKzkYruEAYDmU88TtYzT5N8949Jv+8WWstdVN33fZ/3HZ0QRtYYVbIjEEkbPpK2xgbq\nyku1NuUk9OTkbASGCyEGCyEswFXAB8c2EEIMBN4BrpNS+q2qnCdhbi0N9TRWVR5JjhSoBFL4Yn/R\ng9bq4ia/9ONzrTuXumtSzb4HRl3QZbPq556j+rn/0Lhqlc9M0cO4+gtfaBUGA1Fz55K0ZAmxN91L\n3MzB1H51gJZ1a73e12H2fFVC7oayLo+rMdU3acNHEZ+WTktdXa/OC6kQcimlA7gT+AT3UtSbUsrd\nQoglQoglHc1+DSQCTwkhtgkh/FI7wZOBqC5yp7VOygrsb6aB+ID1Fa21xiaH01xvw2Fz+rwvn2uN\nTIJRC2H+/V02afr6ayof/Qcx559H4i23+MwUrcfVn/hDa8ojL2FKTqLyqed8cn0pJRuXHWT/poou\n26gx1TfJA7O5+R/PkjGqd0lwQ8rJAZBSLpdSjpBSDpVSPtzx2tNSyqc7/n+LlDJeSnlKx89Uf9jl\nSSz/4YyPCZkDfW2OTwm0HA39QWuth8PI66tafd6Xz7UOmQdXvdplJJWtqIiSe+7FOmwYab//PaKL\nnDneQOtx9Sd+yTMSn0rirbfRsnEjzWs/9/r1KwsaaaptZ8gpSV22UWManIRUnhw940ksvzAYSMke\nSnRi1w9qIBBoORr6g9Za4we4E0bWlrb4vC+faf36MVj1MPSQLK7y0X8gpSTziccxRET4xpYOtB5X\nf+IvrXFXXI4pykTryw+4S3V4kYPbqxACsid0/d6pxlT/bP9sOf/50a24XJ7PTIdanpyAZsKZC7ju\nz//06TdURXARnxbBoPGJWMP1lMmhF1TmwqrfQ1VOl8n+DpP2+4cY+MLzWAYG9kxnqGIIC2PI324n\nKXMPHFjj1Wsf2FZJ2rA4wqMsXr2uwr8Ig4G68lIaqyq1NuU4lJOjUGiEyWxk4Q8nBmZEicsJ7/8Q\nLBFw/l+7bNa+fz+ulhYM4eGEj+084koRGBhn3QoxGdg/eMhrszntLXYcNidDTkn2yvUU2pGQ5s7N\nW1NyUlC0pignxwu0NTXxzB03krPO96nPFcGHvd33G4+9zuYXoWgDLPgTRKV02sTZ2EjBbbdT/JN7\n/GubwjeYrDRGLiLvmRJaV7zglUtaI8xc+9BMxs3L8Mr1FNoRn+4ew9qSIo0tOR7l5HiB6uJCmqqr\nMFvDtDZFEWDsWlvMs3d/QVuzXWtTPMfWAqsfhuw5MOHKLptV/P3vOMrLSbrzh340TuFLIq78GcII\n9W+87JXrOR0uhBAYjeqjKNCJiI3DGhGpZnICkZ7C3A6HjydmZnXbLhAIxPDFvqIHrTFJYSChqsi3\n+XK8qtUSAVe/7l6m6mIPWsuWrdT973USrruW8PHjvde3B+hhXP2Fv7Ua4xKImjODhlwb0t4/x7yq\nqIkX7vuK4pzaHtuqMdU/QgiGnzqL2JRUj88JuRByvdLTQNQUF2CyWIlJ6nzaPpAI1AesL+hBa1Km\nu+p2daA4OYf3YmRNh5RRnTex2Sh78NeY0tNI/tGPvNNvL9DDuPoLLbTGXn4dztpamvsZGbNvfSn2\nNicJGZE9tlVjGhicu+RHTLvoMo/bKydHJ/QUy19dVEhCRiaihwiTQEDlaPAvETEWwmMsVBU2+rQf\nr2ldejN88stumzgqKxFmCwN+9QCGyJ4/wLyNHsbVX2ihNWrOHAxR4dQ/8X993oDsdLrI/baM7AlJ\nHkVVqTENHKSUyB5SShxG5cnRCT3F8icNzGbolOl+ssa3BGqOhr6gF60pg6Ipz2/waR9e0Vq6A3a/\nA5buHRdzRgbZS98i+oz5/e/zBFwuSWFNC1/ur2RH0dEU8n9cvpcH39/Fr9/fxd0vfsGjn+Xy2Z7y\nI8cb2wJoz1Mv0OIeFhYL6befT/LAvVCypU/XKNhdQ2ujnVEz03pujH6eVX8QyFrzd2zl8RuvoOLQ\nQY/a+0NrgCbo0Bdzr71ZaxMUAczo09Kor2xFSqnvPEtr/gRhsTDjji6bNHz2GRFTp2KKj/daty6X\n5Dcf7mZLQS37y5tod7i/JV44MZ3Hr54EwNLNRTilREpoabez4uB+rpyaxdljUnG6JFN//zkx4WZG\npkYzeWAcU7MTmDwoniiregvsC9HX/Qz++hxsfQUypvT6/H3rSgmPNjNwbACmT1B0SWRsHPa2VmpL\nikgdPFRrcwDl5PQbl9OJMBj0/eGk0DVDJwXAXq7S7ZCzDOb/CsLjOm1iKyqi+Cf3EH/llQx44Fd9\n6kZKybbCOpbvLMXhkjx44VgMBsHO4npiw81cP3MQg5OiGJwUyaDEo5mTNz9w9pH/r1mzhjmnz8Xu\ndDtDdqeLn54zkpzyRvaUNPDE6jxcEm48LZvfXDQWp0tS1dROaoyKjvSYsFgabFORH31M7AV/73ID\neleMOz2DIackq6iqICMuLR2E0FWElXJy+sner9aw6oWnueGvTwbFxmOFNrQ22WhtsJOQ7v89LB6x\n7kmwRMGpt3XZpPqZZxFCkHjbrb2+fEVDG69tKODdrcUcqm7BYjRwxqijz9O7d8zq1fWMBoHRYAQg\nzGzk1tOHHDnW1O5gy6FaMuLdtcO2FtRyxTPrmD08mcunZHLu2AFYTOrDtyfqciX2A3ZiK3O63ITe\nFVmj1QxOMGK2WIlJSqa2VDk5QUNjVSW21lYiYr03Pa8IPZY/tROQXPZzv9Sc7T2zfgzDz3EvV3WC\nvbiYuvfeI/7yxZhTPQ8hPcwTq/P47/pDnDY0kR/OH8aCcQOICeu82Gd/ibKaOH3E0Qy7WQkR/HD+\nMN7ZUsxd/9tKaoyVG07L5roZg4j2kQ3BQMSpc6jcdgBnTQXGXjg52z4vIHt8EnGpvq1hptCG+LQM\nanSUEFB9XfGA7sLcmmprCIuKxmQOjjfDQA5f7C160po2LJaKQ404bL7JftxvraljYfziLg9X/+c/\nACTe6tksTk5ZIz94ZTObD7lzpCyZO5TV987j1VtmcMXUrH45OL3VmhoTxr3njOTLn8/nhZumMSI1\nmqfXfNdTzVFdoOU9HD7TvbG8tcLzcyoLGvl6aR4Fe6p71ZeenlVfE+hah08/jeyJkz1qq0LIdUJ3\nA9FcV0NUfPBMvQb6A9Yb9KQ1bVgcLqek4pBvoqz6rNVhg49+AuW7u2wipcReXELsooswp3UfLVPb\nbOOX7+5kwT/X8tX+Kgpr3BXY0+PCyU7yzlJdX7UaDIL5I1P47/dP5YufzSc2wozLJbnh+Q28vbkI\n6eXq295AUydn/DgwGmnZuB6cDo/O2b6qEJPVyMhTB/SqLz09q74m0LVOPPs85lx9g0dtlZOjE7qL\n5W+urSUyiJycQM/R0Bv0pDVtaCwIKMqp67lxH+iz1twVsOl5aCjtsokQgqxnnibtwQe7vdQ7W4qY\n/7c1vL6xkBtPy+bL++Zz8STv1yzyxrjGR7pzt9S32mlos3PvW9u58pn15FX4Np9Rb9HyHjZERhI2\nOIP25f+Cwm97bN9c387+TeWMnpmGNaJ3M3V6elZ9TTBodTocuJw9z0qrPDk6obtY/kETJzNkcnDk\nyIHAztHQW/SkNSzSTMqgGAp7OY3vKX3WuvUViE6HoZ3nvJEOB/YK93qF6GHJNre8ieEpUSz/0Rwe\nvHAscRE9J4HzCEcN2IqhLQ9ad7Nt/RvQfgjsFeCy9evS8ZEW3l5yGn++bDy5FY1c8NhXvPj1QVwu\nfczqaH0PD3zuWTJn13jk5OxeW4zLIZkwP7PX/Wit058EutbinL3843sXU7B7R49tVZ6cAGDWFd/T\n2gRFkDDrsmGYrUatzThKQynkfQ6z7wFD53Y1f/MNhXf8kOzXXiV8woSTjq8/UI3ZKJgyKIF7zxmB\nQQiMhj6mW5AS2r+Dls3H/GwB5/GzX6dGAbsO/2aC8DEQMeWYn4lgCPe4W4NBcOW0gcwflcJ9S3fw\n7NoDXDYlU21KBowDBkFsBlTm9Ni2pdFO9gS14TjYCY92l6pprffNrHRvUU5OP5AuFy6XC6NJ/RkV\n/Sd9eOf5ZzRj7wcgXd1WGq97912M0dGEjTo+ukZKyX++OsgfV+xjWnY8r982E3NfcqI4m6HmFah9\ns1OHpmcc0LrD/VP9QsdrJggfDdFnQfISCBvh0ZVSosN4/sZplDe0Ex1mxu50cai6hWEpUb20KXho\n27uXmnXRJDt305PLN++akbqZAVP4jogY9/tYS0O9xpa4UctV/aCqqIB/XHsJ+zcG9vSiQj8U7K5m\n7zdd73/xK/YWGDgTkjt3Apz19TR9vpKYhQsRlqNLT06X5IH3d/H7ZXs5a3QK/76+D2HxrXuh4C7Y\nkQ4FS6BxVR8cnK5wQOtOqHgUdo+C3LOg9h2QPe8hEEIwINadNPDxlfu56ImvWJtb6SW7Ag9nQyP1\nOxuwHTpEV+FoUkrqK1sB96yYIrixRkZiMJpo1slMjnJy+kFzbQ1ISXh0jNamKIKEfetKWffed0g9\nfOOd/RO4aUWXhxs+/RRptxO7aNGR19rsTn7wymZeWV/A7acP4V/fm+L5so50QO1SyD0D9oyByifA\n5duaXiChcSUcuAx2ZkPJ78Be5tGZ35sxiIEJEdz84kbe36af5Gf+xDzAnRPJnnkeODvf/1SaV8cr\nD6wjf2eVP01TaIQQgojYWFqUkxM4dBXm1lRbA0BUXPBEVwV6+GJv0KPWgWMTaW2wUVXU5NXr9lqr\nvc39bzfp+hs/+wxzVhZhY8cceU1KaLE5efDCMfzf+aM9/+betA52j4MDl0Pj6t7Z6i3sRVD6oNvZ\nKf1jjzM7qTFhvLlkJlOz47n7jW28s8X/CdC0vodNA9yh4I7YSWDuvCzG9pVFhEWayRzZ94SpWuv0\nJ8GgdfwZ55I1ZnyP7fyhVW0m8YCuBqK5w8mJ9GIxQq0JhgfMU/SodeDYRBBwYHslyQOjvXbdXmt9\n7wfQUALf/6TLJin33IOjsgohBHanC4dTEm4x8vLN0z13blxtUPIrKH8U0En2PdkOJfdD3TuQ/SKE\nj+2yaUyYmRdvms7NL27k/97ZyexhSaT4sQaW1vewwWrFGBeHvfAANFdDZOJxx6tLmjiwvZIpCwZh\nsvR9U73WOv1JMGg97fJrPGqn8uTohK5i+ZvrarFGRGK2Bk9hv2DI0eApetQaEWMhfVgc323uRRpZ\nD+iVVpcLDn4B8dndNgsbNYqoObORUvLAe7u46t/raXc4ezd7s+cUKP8bunFwjqVlE+yd0uOsTpjZ\nyHM3TOXlm6f71cEBfdzDhpho2PEmrHvipGObludjthg55cyB/epDDzr9RTBolVLS1tzzbLTKk6MT\nuorlTxsxiolnn+dna3xLoOdo6A161TpsSgqtjXaa6733BtArreU7oaW6y9w4APUffkjT2rUAPLXm\nO17fWMicYUlYTR58W3e1QdFPIWc2tPcceqwph2d19s2A1q6zPkdYTJw6xD2L8fGuUvaX+ydpoB7u\n4WGffkra6SZorT3u9ZYGGwe3VTF+XiZhUf0Lt9eDTn8RDFq/fO1Fnr79uh6zhKs8OTpn9Ky5MGuu\n1mYogozRs9IYMycdY19Crr1BwXr3v9mzOz0spaTi0UcJHzuWTamj+MsnOVw0MZ17z/EgFNtRB3nn\nQ3OAvZG3bIJ9p8LQdyHm7K6b2Rw88P5uoq0mPrhrNlHWEHmLDY+DtuM3mkbEWLjmt6diCQuRv4Hi\nCOExsTjtdmytLVgjvFOupa+omZx+YG9vw+XyTUFFRehiMhsxGg3a1Uoq2gTRaRDTeckFe2EhjpJS\n7BOn8pM3tjFqQDR/vmwCoptNyu4TyyF3XuA5OIdxNUPeQne4eRdEWEw8dtUk8qub+cXbO3RZ78rb\nlP3hD9TmmqH1qJPjdLiXH2MSwwmLVEkTQ43I2I5cOTqIsOq1kyOEiBRC6Cgtq3Y8f/ftfPbsyevQ\nCkV/KTtQzysPrKO6xLtRVh4x4lyYdXeXkVWt27YB0DxiLBnx4fzr2imE97Sp1F4KOadD63ZvW+tf\npA0OXAHVr3bZZObQRO49ZyQf7SjlrU3+j7jyN42ff05ruThuJmflS3tZ8czOkHDyFCcTERMLQEu9\n9gkBe3RyhBAGIcQ1QohlQogKYB9QKoTYI4T4ixBimO/N1CcOux2j2Uv1dxSKY4hODKOxuo28Td7d\ngOwR4xfDjCVdHm7dvgMREcHYWZP48M7ZDO6perijBnLPgfZcLxuqFU7IvxHqPuiyxQ/mDuXUwQk8\n9NEeKhra/GeaBggEJAyBabcCUFvWzP5N5cQmh/c8u6cISsIDbCZnNTAU+D9ggJQyS0qZAswG1gN/\nFkJc60MbNaerMDeHrR2TJbicnGAIX/QUPWuNjLWSNSaBfetKvZIK32OtLTVQm99l9lqA+p27qEgb\nQpuTnj/EnE2w/zxo29V9u4DD4Z7RaVjV6VGDQfCXxRO595wRJEVZfWaFHu5hV2srYsBwmOSu47dx\nWT4ms4FJZ/cvoupY9KDTXwSD1ujEJKYsvISYlNRu2+klhPwsKeVDUsodUsoj73xSyhop5dtSysuA\nN3xnovZ0NhBSShw2G2bl5AQsetc6+rR0mmrbKdpb0+9reax174fwz4lQX9Blk38uvJd7x15FbYsH\nFb4LboeWDZ71HWjIdnemZFtJp4cHJkZw46zBGAzCZ8s2Wt/DLpsNZ20tptgIaCih4lAD+zeWM2F+\nFuHR3ntv1FqnPwkGrRExscy77vukDh7abTtdODlSSjuAEGKqEOJdIcQWIcQOIcROIcSOY9sEK53F\n8jsdDpASk8V339K0IBhyNHiK3rUOnpCENdLklVpWHmutzAFTOMR2/i18/YFqlu+p4LpzJ5Ae10Ml\n77r3oOa1XloaYDjroOC2bpus2FnKFc+sw+bwfi4gre9hZ20dhuhozCUr4dXL2fDRQcKjzUxZMMir\n/Wit058Eg1YpJe0tLThs3X8R0luenFeBF4DLgAuBhR3/Bj2dxvJLyeTzFzFgqGcVjAOFYMjR4Cl6\n12o0G5hx0RCGTEru97U81lqbDwmDwXDyW4OUkldfWMbP97zHzWN6qNfmqIFDXe/rCSrql0H1S10e\ntpoNbMyv5W0flH3Q+h42p6YwcuMGYidEgtHCmdePZsFt47GEezdsXGud/iQYtLY3N/PETVew4/Ou\na9+B/vLkVEopu95pF2KYLBbm33Cr1mYogpxxczP922FDUZeh41/ur8KVs4/5uV9hNfawF6fwLnCU\n+8BAnVJ4N0SfDZb0kw7NH5nCKVlxPLEqj8smZ2IxBV/mDumwg9FKeLTFq8tUisDEaHK7Fk6HQ2NL\nejeT86AQ4jkhxNVCiEsP//jMMp3jcjmxt7Uhu9mgqVB4g9ZGGzvXFPknHLe+CGI7d3LiIyzMinKA\n2YwpKanra4TCMtWJdLNsJYTg7rOGU1zXyntbg6taecNnn1F8z71sLxzH0r3X096q/YeaQnsMh50c\nu/Y7WXrj5NwEnAIswL1MdXjJKiSpLSnmsRsWk7P+K61NUQQ5+TurWft6LkU5tT037g9SwhkPwMSr\nOz08PjOWufEuzAMGIDpZzgJCa5nqRLpZtpo7IpmRqdG8+E1+UOWOad28hZo137C5fBZWswOrl5ep\nFIGJwWgEIXA6tXd6e3NHTpNSjvSZJQHG4Q1VwbbxWKE/hk9LYd27eexYVUTWqATfdSQETL2p00Mr\ndpYyLiMWWVuDKaEbGyr+GVrLVCdS8mtIuBZOyJcqhOBn546k1e5Eyi7zLAYcbbt3UzDhKmyucGZd\n0P+9Y4rgQAiB0WQKuOWqb4QQY3xmiY7pLMzNbnPvCjeZgytleTCEL3pKoGg1mY2MnZNB/s4q6itb\n+nQNj7TamqFkK7QfX1yyxebgnje38/iq/bja2jHGxXV+vnRA1b/7ZF/QYCuA+o86PXTWmFQunJju\neZV2D9DyHpYuFxUHazkUNo4xszNInO27YsWB8qx6g2DROnXhJWSOGtttG12EkB/DDGCbECLnxBDy\nYKezgTg6kxNcm+yC5QHzhEDSOm5uBgaDYMfqvkXoeKS1ch88Ow/yj1+CXbm3gla7k0snZ5L92qtk\nPvVk5+fXvesu3xDqVD7V5aGKhjaeXfsd7Q7v1LzT8h625edzIHU+VrOLGbOd4PBdOHB62hq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ffhHFgOHS4Ds+fPPhn9vfpXRsjaokdvElv//YEFZ/NEVt081kHPnBnkGIUR3mDO8pWsGZtz2DSz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1d12b17208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9, 12))\n",
    "\n",
    "op = OrbitPlotter(ax)\n",
    "op.plot(ss_e0, label=\"Earth\")\n",
    "op.plot(ic1, label=\"Inner Cruise 1\")\n",
    "op.plot(ss_efly, osculating=False)\n",
    "op.plot(ss_aph_post, label=\"Back to Earth\")\n",
    "op.plot(ss_oip, label=\"Jupiter Orbit Insertion Phase\")\n",
    "op.plot(ss_j, label=\"Jupiter\")\n",
    "\n",
    "ax.grid(linestyle='--')\n",
    "ax.set_axisbelow(True)  # Please tone down that grid"
   ]
  }
 ],
 "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": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
