{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from astropy import units as u\n", "\n", "from poliastro.util import norm\n", "\n", "from poliastro.bodies import Earth\n", "from poliastro.twobody import State\n", "from poliastro.maneuver import Maneuver" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$398600 \\; \\mathrm{\\frac{km^{3}}{s^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Earth.k" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$\\begin{align}a & = 7178136 \\; \\mathrm{m}\\\\e & = 0 \\; \\mathrm{}\\\\i & = 0 \\; \\mathrm{{}^{\\circ}}\\\\\\Omega & = 0 \\; \\mathrm{{}^{\\circ}}\\\\\\omega & = 0 \\; \\mathrm{{}^{\\circ}}\\\\\\nu & = 0 \\; \\mathrm{{}^{\\circ}}\\end{align}$" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ss_i = State.circular(Earth, alt=800 * u.km)\n", "ss_i" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$7178.136 \\; \\mathrm{km}$" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r_i = ss_i.a.to(u.km)\n", "r_i" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$7.4518277 \\; \\mathrm{\\frac{km}{s}}$" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v_i_vec = ss_i.v.to(u.km / u.s)\n", "v_i = norm(v_i_vec)\n", "v_i" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "N = 1000\n", "dv_a_vector = np.zeros(N) * u.km / u.s\n", "dv_b_vector = dv_a_vector.copy()\n", "r_f_vector = r_i * np.linspace(1, 100, num=N)\n", "for ii, r_f in enumerate(r_f_vector):\n", " man = Maneuver.hohmann(ss_i, r_f)\n", " (_, dv_a), (_, dv_b) = man.impulses\n", " dv_a_vector[ii] = norm(dv_a)\n", " dv_b_vector[ii] = norm(dv_b)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAccAAAG7CAYAAAC2HF4IAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8E2X+B/DPZHI16Zm26UFLuSkgSgEBLSCCKB4cIiiC\n", "7ioe6wmorEIBURHxvtD1ghVdFVnE9aeABwsIFpej1KKcUqAH9E56p80xM78/0oae0D5NM2nyfb9e\n", "fSUzeTLzzZfSb555Zp7hJEmSQAghhBAXhdwBEEIIId6GiiMhhBDSBBVHQgghpAkqjoQQQkgTVBwJ\n", "IYSQJqg4EkIIIU0o5dhpRkYG1q1bB1EUMX78eEybNq3R699++y1SU1MBAIIg4Ny5c1i7di30er0c\n", "4RJCCPEzHi+Ooihi7dq1WLZsGQwGAxYvXozhw4cjLi7O1WbKlCmYMmUKAODgwYPYunUrFUZCCCEe\n", "4/HDqpmZmYiOjobRaIRSqURycjLS0tJabZ+amork5GQPRkgIIcTfebw4ms1mhIeHu5YNBgPMZnOL\n", "ba1WKw4dOoSRI0d6KjxCCCHEu0/IOXjwIBITE+mQKiGEEI/y+JijwWCAyWRyLZtMJhgMhhbb7tmz\n", "p02HVLdv3+62+AghhPiOCRMmML3P48Wxd+/eKCgoQFFREQwGA3799VfMnz+/WTuLxYJjx461+FpL\n", "hg4d2uL6F198EQCwaNEi9qAJIYR0Oenp6czv9fhhVZ7nMXfuXKxcuRKPPfYYrrzySsTFxWHbtm3Y\n", "tm2bq93+/ftx2WWXQa1Wd2h/Op0OFoulo2H7pPrLZUj7UN7YUN7YUN7kIct1jklJSUhKSmq0buLE\n", "iY2Wx40bh3HjxnV4XzqdDjU1NR3eDiGEEP/h1SfkuENAQACsVqvcYXil0aNHyx1Cl0R5Y0N5Y0N5\n", "k4csPUdPmj17NubMmSN3GIQQQroQny+OHMfJHYLXSk1NpW+lDChvbFjy1pETKoh/ae2kTFY+XxwJ\n", "IV3b2LFj5Q6BeLndu3e7fZs+P+ZIWke9HzaUNzaUN9KVUHEkhBBCmvD54ihJEmw2m9xheCW6fooN\n", "5Y0N5Y10JT5fHIuLizF48GC5wyCE+AmDwYCsrKxO2fYjjzyCF154oVO2fSG7du1Cr169PL5fOfn8\n", "CTkBAQE0Q04raAyIDeWNja/lrW/fvigqKgLP8wCcZ8YfOXKk1bsMXcyuXbtw99134/Tp0622eeed\n", "d5i2TdrP54tj/fRxkiTRZR2EELfhOA7ffPMNrr766ja/RxRFKBQ+f8DOJ/j8vxLP89BqtdR7bAGN\n", "AbGhvLHxl7xpNBpX7++ee+7BI488gilTpiAsLAy7du3C999/j0svvRTh4eHo2bMn3nzzTVgsFkye\n", "PBl5eXkwGAwIDw9HQUFBs23fc889WL58OQBnT7Nnz5547bXX0K1bNyQkJOD//u//8P3332PgwIGI\n", "jo7Gyy+/7Hrvc889h9tuuw1z5sxBeHg4Ro4cid9//73FuJvuq6lXXnkFPXv2RHh4OC655BLs3LkT\n", "gPMcj5dffhkDBgxATEwMZs+ejdLS0o4nVQY+XxwBIDAwENXV1XKHQQjxMZIkXbTNhg0bkJKSgtLS\n", "UlxxxRX429/+hvfffx8mkwkZGRm46qqroNPpsHnzZsTGxsJsNsNkMiE6OrrZtjiOa3QErLCwEFar\n", "FTk5OVi+fDkeeOABrF+/HgcOHMCOHTuwcuVKZGdnu9pv3rwZM2bMQFFREWbNmoWZM2dCEIQW4266\n", "r3onTpzA+++/j//9738wmUzYunUrEhISADgP+27evBnbt29HTk4OwsLCMG/evIvmyBv5RXEMDQ2l\n", "nmMLfG0MyFMob2x8LW+SJGHGjBkwGo0wGo2YOXNmi+2mTJmCUaNGAQC0Wi3UajWOHj2KiooKhISE\n", "uG7C0JZC27SdSqXC4sWLwfM8Zs6cCbPZjHnz5kGv12PgwIEYMGBAo97hsGHDcPPNN4PneSxYsAC1\n", "tbXYt29fm/ZVj+d5WK1WHD16FHa7Hd27d3edrPPRRx/h2WefRWxsLFQqFZYuXYqvv/4aoii26bN5\n", "E58fcwRwwX98QkjX1W/aa27Zzp/fPNHu93Ach02bNl1wzJHjOHTr1q3Rug0bNuCFF17AkiVLMHjw\n", "YKxcuRIjR45s9/4BIDw83NW7CwgIAAAYjUbX6wEBAaiqqnItN4ylPra8vLx27bNPnz549dVXsWLF\n", "Chw9ehQTJ07EK6+8gpiYGGRnZ2PmzJmNxlWVSiUKCwsRExPD9Bnl4hfFkbSM5ghlQ3lj0xl5Yylq\n", "chs2bBg2bdoEQRDw7rvvYvbs2Th16lSbTxjsyImFZ8+edT0XRRHnzp1DbGwsgOb3vi0oKEBcXFyL\n", "25k1axZmzZqFyspKPPTQQ0hJScHHH3+M+Ph4rFmzxtVT7sr84rAqIYTIoelhSbvdji+++ALl5eXg\n", "eR5BQUGuS0GMRiNMJhMqKiouuL22Hn5tSXp6Or755hs4HA68/fbb0Gq1rl7rZZddhvXr10MQBPz4\n", "44/45ZdfWtzGn3/+iZ07d8JqtUKj0UCr1bo+w/33349ly5YhJycHgPM68++++445XjlRcfRj1Pth\n", "Q3lj4y95a9iza+mklvXr16Nfv36IiIjAmjVr8MknnwAAEhMTcdttt6F///6Iiopq8WzVpttruu0L\n", "9So5jsPkyZOxceNGREVFYf369diwYYOrsL3++uvYsmULjEYjvvzyS0ydOrXFbVutVixduhSxsbHo\n", "3r07SkpK8PzzzwMAHn30Udx000244YYbEB4ejrFjx+LAgQMXzZk34qSOfA3xEtu3b3f77UoIIfJL\n", "T0+nu3K4yYoVK3Dq1CmsW7dO7lDcbvfu3S3WgPT0dEyYMIFpm37RcxQEgeZXbYG/XHfmbpQ3NpQ3\n", "eflAP8ij/KI4vvjii3jzzTflDoMQQmTT2nWLpGV+cbZqYGAgTCaT3GF4HX8ZA3I3yhsbypu8li1b\n", "JncIXYpf9BxphhxCCCHt4TfFseGFsMSJxoDYUN7YUN5IV0LFkRBCCGnCL4pjcHBwq5Pr+jMaA2JD\n", "eWNDeSNdiV+ckDNmzBiMGTNG7jAIIYR0EX7RcyQtozEgNpQ3NpQ3z/r0009bnRQ9JycHBoNBlmsf\n", "r7nmGnz88cce3297UXEkhBAGe/bswdixYxEZGYno6GiMGzcOBw8elDusNunevTvMZrMs1z12lest\n", "/eKwKmkZjQGxobyx8aW8VVRUYNq0aXj33Xcxc+ZMWK1WpKamQq1Wyx0acRPqORJCSDudPHkSHMfh\n", "1ltvBcdx0Gq1uOaaazB48GBXm3Xr1uHSSy9FVFQUbrrpJtedKgDgyJEjuP766xEdHY34+Hi89NJL\n", "AJyTej/xxBPo0aMHevTogYULF7qmvty1axd69uyJN998E3FxcUhISMCnn37q2qbJZMLNN9+MiIgI\n", "JCcn49SpU63Gn5WVBY1G47oJ8TXXXIPly5fjqquugsFgwM0334ySkhL85S9/QUREBK688kpkZ2e7\n", "3q/RaPDuu+8iMTERsbGxWLRokesQ7XPPPYe77rqr1X01lJmZiQkTJiAyMhKxsbGYM2eO67Xjx4+7\n", "cnTJJZfgq6++atO/jbv4TXGsqqrqknej7kw0BsSG8sbGl/LWr18/8DyPe+65Bz/++CNKS0sbvf7t\n", "t9/i5ZdfxsaNG5Gfn4/k5GTceeedAIDKykpcf/31mDRpEnJycnDs2DGMHz8eALBq1SocOHAAaWlp\n", "SEtLw4EDB/DCCy+4tltYWIiKigpkZ2fjgw8+wLx581BeXg4AmDdvHnQ6HXJzc/Hhhx/i008/bdfh\n", "y40bN2LdunXIysrC6dOnMXbsWNx9990oLCxEYmKi684bDT/j3r17sW/fPnz33XeuCc3bs89nnnkG\n", "1157LYqLi5GVlYVHHnkEAFBdXY0bbrgBt99+O/Ly8vDZZ59h3rx5OHbsWJu33VF+UxyHDh2KkpIS\n", "ucMghPiAoKAg7Ny5ExzH4cEHH0S3bt0wffp0FBUVAQA++ugjPPnkk+jfvz8UCgWeeuopHDp0CDk5\n", "OdiyZQtiYmIwf/58qNVqBAYG4vLLLwcAbNiwAUuWLEFERAQiIiKwdOlSfPHFF679qlQqLF26FDzP\n", "Y9KkSQgMDMSff/4JQRDwzTffYPny5QgICMCgQYNwxx13tPmEG47j8Ne//hU9e/ZEcHAwJk2ahL59\n", "++Lqq68Gz/O45ZZbkJGR0eg9CxcuRGhoKOLj4zFv3jxs2LABQPsmOFer1cjOzsa5c+egVqtxxRVX\n", "AAC2bNmCHj164C9/+QsUCgWGDBmCadOmYdOmTW3edkf5TXGkiQCa86UxIE+ivLHpjLz9rla75YdF\n", "YmIi1qxZg9OnT+O3335Dfn4+nnjiCQBAdnY2Hn/8cRiNRhiNRkRHRwMA8vLycO7cOfTs2bPFbebl\n", "5aF79+6u5fj4eOTl5bmWw8PDoVCc/7Ot0+lQVVWF4uJiOBwOxMfHu15ruJ22iIqKcj3XaDSIjIx0\n", "LWu12mZTcMbFxbUaZ1utWrUKkiQhOTkZQ4YMcd3bMicnB/v373flr/4ek/VfPjzBb07ICQoKQmVl\n", "pdxhEELc6FIvuRVd//79ceedd2LNmjUAnIUpJSUFs2bNatY2Ozsb//73v1vcTmxsLLKzszFgwAAA\n", "QG5uLmJjYy+6/8jISCiVSuTk5KB///4A0GiMs73acmg0Nze3UZzdunUDAOj1elgsFle7wsLCVrcR\n", "FRWF9957DwDw66+/YtKkSRg9ejTi4+MxduxYbN26lfkzdJTf9BxDQkJQUVEhdxhexZfGgDyJ8sbG\n", "l/J24sQJvPnmmzh37hwAZ3HYsGEDRo0aBQC477778NJLL+Ho0aMAgPLyctcJJTfeeCMKCgqwevVq\n", "WK1WVFZW4sCBAwCAW2+9FatWrUJJSQlKSkqwcuVKzJ49+6Lx8DyPadOmYcWKFaipqcHRo0fx2Wef\n", "tWv8r+Hh0LYcGn3jjTdQVlaG3NxcvPPOO5g5cyYAYMiQIUhNTUVubi7Ky8tdJxu15KuvvsLZs2cB\n", "OP9GcxwHnudx44034uTJk/j8889ht9tht9uRlpaG48ePt/nzdJTfFMfg4GDXwDUhhHREUFAQ9u/f\n", "j9GjRyMsLAxjx47F4MGD8fLLLwMApk6dioULF+KOO+5AREQEhg4dim3btgFwDvFs3boVW7ZsQffu\n", "3TFo0CDs2rULAJCSkoJhw4Y1+klJSXHt90LF7q233kJVVRXi4+Nx//33469//esFP0PTbTVcbsu1\n", "iJMnT8aoUaMwYsQI3Hjjja4zVCdMmICZM2di2LBhuOKKK3DTTTe1uq2DBw9izJgxMBgMmDFjBt54\n", "4w306NEDgYGB2LJlCzZu3IgePXqge/fuWLp0qUdvWs9JPnB76O3bt2Po0KEXbLNgwQKMGTMGt9xy\n", "i4eiIoR0VHp6OsaOHSt3GKQJjUaDY8eOoVevXnKHAgDYvXt3izUgPT0dEyZMYNqm34w5vvnmm3KH\n", "QAghpIvwm8OqpDlfGgPyJMobG8qb7+gK0791lN/0HAkhhLhHbW2t3CF0Ouo5+jG6Xo8N5Y0N5Y10\n", "JVQcCSGEkCb8pjgKgkDXOTZBY0BsKG9sKG+kK/Gb4piRkYGbb75Z7jAIIYR0AX5THIODg6nn2ASN\n", "AbGhvLGhvJGuxG+KY0hICM2QQwjpUjQaDU6fPi13GH7Jb4oj9RybozEgNpQ3Nr6Ut7CwMBgMBhgM\n", "Bmg0GoSEhLiWv/zyyxbfs2vXLq+ZUaYl99xzD5YvXy53GF5DluscMzIysG7dOoiiiPHjx2PatGnN\n", "2hw5cgSffPIJBEFAUFAQnnnmmQ7tU6vVAnBen1P/nBBCWDS8uXG/fv3wwQcf4Oqrr5YxIuJuHu85\n", "iqKItWvXIiUlBa+//jr27NnjmpW9XnV1NdauXYunnnoKr732Gh5//HG37DshIYHu6dgAjQGxobyx\n", "8Ye8Wa1WPPHEE+jRowd69OiBhQsXwmazobq6GpMnT0ZeXh4MBgPCw8NRUFCAAwcOYMyYMTAajUhI\n", "SMCCBQtgt9vbtC+z2Yx7770XPXr0QFRUFGbMmOF6be3atRg4cCCio6Mxffp05Ofnu15buHAh4uLi\n", "XBOiHzlyBGvWrMGXX36J1157DQaDAdOnT3d7broajxfHzMxMREdHw2g0QqlUIjk5GWlpaY3apKam\n", "YuTIkQgPDwfgPCTqDvv27UNERIRbtkUIIU2tWrUKBw4cQFpaGtLS0nDgwAG88MIL0Ov12Lx5M2Jj\n", "Y2E2m2EymRAdHQ2lUonXX38dBQUF2L17N3bs2IH333+/Tfu6++67UVtbi0OHDuHcuXNYsGABAGDn\n", "zp1YtmwZvvjiC+Tk5CAhIQF33HEHAOCnn35Camoqjh49ipKSEqxfvx7h4eG49957cfvtt2PhwoUw\n", "m834+uuvOy1HXYXHi6PZbHYVPQAwGAwwm82N2uTn56OqqgrPPvssFi1ahN27d3s6TL/gS2NAnkR5\n", "Y+MPeduwYQOWLFmCiIgIREREYOnSpfjiiy8AtHyPxKSkJFx++eVQKBRISEjAvffe26a/d/n5+fjx\n", "xx/x7rvvIiQkBEql0tUzX79+Pe666y4MGTIEarUazz//PPbu3YucnByo1WpUVlbi+PHjEEUR/fv3\n", "R3R0tGu7PnCTJrfxyrlVBUHAmTNn8PTTT8NqtWLp0qXo27cvYmJi5A6NEOJF0t9Uu2U7Qxe45z6B\n", "eXl56N69u2s5Pj4eeXl5rbb/888/8eSTTyI9PR0WiwUOhwPDhg276H7Onj0Lg8GAkJCQZq8VFBQ0\n", "2oZer0d4eDjy8vIwbtw4PPTQQ5g3bx5ycnIwbdo0vPTSSwgKCmrnJ/V9Hi+OBoMBJpPJtWwymWAw\n", "GBq1CQ8PR1BQENRqNdRqNQYMGIDs7OwLFsfU1FTXN6f6b6i0TMudsVy/zlvi8fXlC3FXUXOX2NhY\n", "ZGdnY8CAAQCA3NxcxMbGAmj5ThaPPvookpKS8Pnnn0Ov1+Ptt9/Gf/7zn4vuJy4uDmazGeXl5c0K\n", "ZExMDLKyslzL1dXVMJlMrjgefvhhPPzwwyguLsbs2bPx2muv4ZlnnvGZO2205/fnQjx+s2NBELBg\n", "wQIsW7YMBoMBixcvxvz58xEXF+dqc+7cOfzzn//EkiVLYLfbkZKSgscee6xRm4bacrNjQkjX0xVu\n", "dtzwbNXly5fj559/xqZNmwAAM2bMwLhx4/DMM8/g+PHjGDlyJHJzc13nUSQnJ+OGG25ASkoKTpw4\n", "gVtuuQVGoxE7d+4EcOGbCk+bNg3BwcF4++23odfrsXfvXowZMwY7duzAnXfeia1btyIxMRGLFy9G\n", "RkYGduzYgYMHD0IQBCQlJcFms2HWrFkYMWIEli1bhiVLliA3Nxeffvqp55LnJp1xs2OPjznyPI+5\n", "c+di5cqVeOyxx3DllVciLi4O27Ztw7Zt2wAA3bp1w2WXXYaFCxciJSUFEyZMaLUwtofFYqFrHRvw\n", "hzGgzkB5Y+MPeUtJScGwYcMa/aSkpAAAEhMTcdttt6F///6IiopCQUEBXnrpJXz55ZcIDw/HQw89\n", "hFtvvbVRD+5CvbmPP/4YKpUKgwcPRlxcHN555x0AwPjx4/HMM89g1qxZSEhIwJkzZ/DZZ58BACoq\n", "KvDggw8iKioKffv2RXh4OJ544gkAzhN8jh07BqPRiJkzZ3ZWiroMj/ccO0Nbe46rV69GUVERVqxY\n", "4YGovF/DQ4Ok7ShvbFjy1hV6jkR+PtFzlFNYWFizM2P9Gf2BZ0N5Y0N5I12J3xXHsrIyucMghBDi\n", "5fyqOBoMhkbTPvk7fxgD6gyUNzaUN9KV+FVxDA0NpcOqhBBCLsqviqPBYKBJxxugMSA2lDc2lDfS\n", "lfhVcYyKisLPP/8sdxiEEEK8nF8VR9IYjQGxobyxobyRrsQr51YlhJB6dOMBIgcqjn6MxoDYUN7Y\n", "sOSNpoUkcqHDqoQQQkgTflccS0tLaX7VOjQGxIbyxobyxobyJg+/K44rVqzAxo0b5Q6DEEKIF/O7\n", "4hgWFkaz5NShsTM2lDc2lDc2lDd5+GVxpFlyCCGEXIhfFkeafNyJxjLYUN7YUN7YUN7k4XfFkSYf\n", "J4QQcjF+VxyNRiN0Op3cYXgFGstgQ3ljQ3ljQ3mTh98Vx2HDhmHt2rVyh0EIIcSL+V1xJOfRWAYb\n", "yhsbyhsbyps8qDgSQgghTXCSJElyB9FR27dvpzkYCSGENJKeno4JEyYwvZd6joQQQkgTflkc8/Ly\n", "aH5V0FgGK8obG8obG8qbPPyyOC5fvhw//vij3GEQQgjxUn5ZHCMiIlBUVCR3GLKj66fYUN7YUN7Y\n", "UN7k4ZfF0Wg0oqSkRO4wCCGEeCm/LI4REREoLi6WOwzZ0VgGG8obG8obG8qbPPyyOEZGRlLPkRBC\n", "SKv8sjh269YNoaGhcochOxrLYEN5Y0N5Y0N5k4dfFsfBgwfj/ffflzsMQgghXsoviyNxorEMNpQ3\n", "NpQ3NpQ3eSjlDoAAgrUctvKTsJefgsOSD4elEEJNMRy1JZDsVRAdNZAcNRAdNYAk1L2LAzgOAAeO\n", "V0OhDACn1Nc96qBQBkChDgKvCYNCEwZeEwZeE9rgeRgg1sr5sQkhxGtRcfQwUbCituggagv3oaZw\n", "H2pLDkG0V0Ed0gfqkN5Q6rtBFRgHbeRQ8NoIKNRBUCh14JQBUPBaQKEEJAlA3Y8kQRLtEB3VzgJq\n", "t0AUaiA5LBBtFRCsZRCtZbBWnYVgLYVoLYNgLYVgNSOqpgQnzyihDDCCD4h0PuqiGixHQakzgg8w\n", "QqmLBqegXxeAxoBYUd7YUN7kQX/tPEB01KAqeyuqsrbAcm4HVCF9EBA1EsH9bocx+VUo9bHgOM8f\n", "4ZYkCaK9EkJNERw1xRAshXDUFEGoKUZt0UHXeoelAEJtCXhtOJS6GCj1sVDqY6Bq8Lx+vUKl9/jn\n", "IIQQd/Pb4pidnQ29Xo+IiIhO24et4gzKjnyIisyN0EYOQVDPqTBe+RKUAZGdts/22LNnD0aPHg1e\n", "HQx1SJ8LtpVEBxw1RXBU58FRne98tOTDWnrc9dxRnQeOVzsLpi7GWTT1sVDqYs8XVH0sFBoDOI7z\n", "0Kd0v9TUVPo2z4DyxobyJg+/LY6vv/46kpKScNddd7l92/bKHJh+ewVV2d8jNPGvSJi2A6qg7m7f\n", "jydxCiVU+lio9LGttpEkCaK1rK5Y5sFeV0hrS36DI3uLs6ha8iA5aqHURTfodZ4vns7HWCgDosAp\n", "eA9+QkIIOc9vi2NUVBQKCgrcuk1JsMH8+2qUHn4PoQPuRs9b08BrvPd6Snd/G+U4Drw2DLw2DJrw\n", "Qa22Ex2W873Pul6nreIULPm/uNYLtSYoAyKbF01XIY2FUhcNhVLr1s/QFvQtng3ljQ3lTR5+Wxxj\n", "YmJw6NAht23PVp6J/O1zodTHImHaTqiC4t22bV+jUOqgDukNdUjvVttIoh0OSyEc1ecaHcqtLc5w\n", "HcJ1WArAq4MbHMaNbbE3yquDPfjpCCG+wG+LY3R0tNtuW1V55lsU7XkC4cOWICTxr11mPM2bxzI4\n", "hQqqwDioAuNabSNJIoSaEjgseY0KaE3+nrpDus4fjlO0UEBjG63jteFt/nfz5rx5M8obG8qbPPy2\n", "OMbExCA/P7/D2yk98hFKD72JbpO+gjbiMjdERtqK4xRQ6oxQ6oxAxJAW20iSBNFW4eyBWs4fyrWW\n", "HEJV9veuw7qSwwKlLhp8QBSUuijnc13d84CouktcosAHdN4JXIQQ7+G3xbFbt26Ij+/YoU9Txuuo\n", "+HM94idvhSoowU2ReY4/fBvlOA68JgS8JgQaw8BW2znHQQvgqCmEYClwHtK1FKKmPBOOBsuirQIx\n", "AZHI/iaq7jrQusKpi3Y+dxXXKHAKlQc/qffzh9+3zkB5k4ffFsfIyEh89tlnzO8vO74OFSc+Q/zk\n", "76HURbkxMiIH5zhoL6hDel2wnSTYnJe0WAqc14VaCuGoKUBtSUaDZee1orwmpHlPVBsBPsAIPiDC\n", "NdkCrzHQmbmEeBm/LY4dUZX9A0zpLyP+xs1dujDSWEb7cbwa+zKyLpo3SRQg1Jqa9UTtVTmoLT4I\n", "R00JhJoiCLUlEKzlzin9GhbM+ud1xVQZEOlcr42Q5Qxdd6DfNzaUN3lQcWwnW8UZFP4yD7HXfnHR\n", "XgbxX5yCPz8eGj74gm0l0eEskjUldb3OusfaEtjKTrrWCTVFcNSWQMFrGxTMup6otr6whoPXhJ9/\n", "1Bpo2j9CGHCSJElyB9FR27dvx9ChQzt9P6JgRe631yG432yEDbq/0/dHSFPOE4zK66b2O9/7rD+U\n", "K9SaINSancW21gzBWlo3Ab2zUPLaiLrH8CY/9a+FQ6EK6jJnXBNyIenp6ZgwYQLTe+krZTuYM96A\n", "UheD0IH3yR0K8VPOE4xCwWtCoQ7td9H2kig4i2mtqfmPpRC20mPOIms1Q6w1wVFrgiRYnQVT07SI\n", "NiiudXd2UWjCwGsNVFCJz/Hr4piXl4eKigokJiZetK3VfBTlx9ai+827fOaPAI1lsOlKeeMUfF1R\n", "MwDo26b3iI5aCFZziwXVVnYCQq2pwd1dSiFaSyE6aprdEk1Rd5u0+mJ6MqsQAy+9otFt1BTqYJ/5\n", "/9RZutLvmy+RpThmZGRg3bp1EEUR48ePx7Rp0xq9fuTIEbz88suIinKe7DJy5Ejccsstbo9j586d\n", "+PXXX/Huu+9esJ0kSSj69UmED0u54NyihPgChVILhfLC8+g2JYl2CLXni6VQVzxFqxmCtQzW0uPQ\n", "VJ5E6e9pDV4rheiwNCiqoeA1hmZFVaEOhUITAl4dDIU6FLwmBAp1CDheS4WVdBqPF0dRFLF27Vos\n", "W7YMBoMBixcvxvDhwxEX13gmlIEDB+Kpp57q1Fiio6PbNBFAdc73EKylCOn/l06Nx9Po2ygbyltz\n", "nEJ1/gSkVrR0Xrck2uvuOVpa1xMtg1Brdi1bS487DwtbyyHayiBayyHYKiDaygBJgkITCoW6rnBq\n", "QsGrnYWTr1uv0ASDV9e10TR8LbjLXIdKv2/y8HhxzMzMRHR0NIxG53+i5ORkpKWlNSuOnjhPqC2z\n", "5EiiA8UOWEUFAAAgAElEQVT7n4Vx1PN0LRohbsYpVM5buDHcxk101EK0ldcVzzLno63Ceci3bpzV\n", "VnHK2aZBUXUW2nJwvPZ8wVSHNCi0zqKqUAXX9VaDoFAHQ6Gqe1QHgVcFg1PpZbkPK/EMjxdHs9mM\n", "8PBw17LBYEBmZmajNhzH4c8//8Tf//53GAwG3Hnnnc2Kpzu0pThWnvoayoBI6OKucfv+5UZjGWwo\n", "b2zcnTfn4V8twHCtsSRJkOxVEGzlEG0VruLasJcqWApgK/sTor0Coq0Soq3CeXNwWyVEeyUkhwUK\n", "VeD5oln3yDctpg2LakvrL3LdKv2+ycMrT8jp2bMn3nvvPWg0Gvz222945ZVX8NZbb7l9P6GhoXA4\n", "HKisrERQUFCz1yVJgvn3txA54lka2yDEh3AcB04dBIW6+f/7tpJEAaK9ylU0RVuFs3da97y+oNpr\n", "ipuvt1e42nPgmvdOVc7YFKpA6IvKYPrtf3WFuOGP83WuwTqO19DfKjfxeHE0GAwwmUyuZZPJBIPB\n", "0KhNQECA63lSUhLWrFmDqqoqBAYGtrrdht+uUlNTAaBNy9OnT8fOnTthMBiavT6kuwUcx+O3LA2Q\n", "zbZ9Wva95fp13hIPLcu3zGtC8L8Df7TwelTjZSUwelwr29u9A5xoweVJAyDaK3Ho4B5wQg0Su8VB\n", "tFdBKjmMnKxMdIsKg2ivRFFBNjixBiF6JUR7FWqqTODEGvCSFZIkQuS0kBRaBASGQ6EKREW1A6Ii\n", "AMaYHuBUgcgrKIWkCEDPvpdAoQrEn5lnIfEBGDxkBBSqIBzMOAaJD8CVo68Bx6u9Kt8sy6w8PgmA\n", "IAhYsGBBoxNy5s+f3+iwaVlZGUJCQsBxHDIzM/HGG29c8IzSzpoEIHfrNIT0uwPBfWa4fduEEOJu\n", "kmBz9mZdP5WNl21VEB3VrmWpfl3TdnU/HMc36JnqnT9KPTiVHgqlDgqVHpxSV/c80Pm80Wt61zKn\n", "0kGhDIRCpfPYyVBdahIAnucxd+5crFy50nUpR1xcHLZt2wYAmDhxIvbu3Ytt27ZBoVBAo9Fg/vz5\n", "ng4TtoozsJmPIrDnZI/v21NoLIMN5Y0N5Y1Ne/LG8WrwfP11rR0jSRIkoRaivfp8IXVUQ7RbIDqq\n", "IdU9ivZqSA6L8yxjx1lIdesat6l/TzVEh6Wu6OqgUNYXzsDGxbaukLra1D1ydcVZodI1KMT6uvcF\n", "gOMD3HZYWZYxx6SkJCQlJTVaN3HiRNfzSZMmYdKkSZ4Oq5GKE58huM+tUPAaWeMghBA5cBwHThkA\n", "hTIAcON9TJ1F1wrJYXEV0foC6yqqrucWSPZq2GuLm7Sx1L1W5Xxe95ok2Br0ZHVA37Xsn5/mVm1O\n", "Eh04/eWliLv+a2jCLj57DiGEEPlJouAsoHU/hzNLu85h1a6g+txOqALjqDASQkgXwin4JmchlzJv\n", "y++vYLVarfj2228bras6838I6nWzTBF5Tv1ZXaR9KG9sKG9sKG/y8PviqFAocN9998HhcABwTmdV\n", "lf09Anv47ok4hBBCLszvi6NKpUJkZKRrphxL3i9QB/eCKtD9M/J4GzpzkA3ljQ3ljQ3lTR5+XxwB\n", "IC4uDmfPngUAVJ35FoE9p8gcESGEEDlRccT54ihJEqpyf0Jgwg1yh+QRNJbBhvLGhvLGhvImDyqO\n", "AOLj45Gbmwtb6TFwCjVUwb3kDokQQoiM6FIOOG+bVV5eDsu5n6GPu9pvJu6lsQw2lDc2lDc2lDd5\n", "UHEEcM01zttRnf3hVoT0nyNzNIQQQuRGh1XriIIVtYV7oYsZK3coHkNjGWwob2wob2wob/Kg4lin\n", "tnA/1KH9wGvD5A6FEEKIzKg41qkp3IuA6GS5w/AoGstgQ3ljQ3ljQ3mTBxXHOjWFB6CNulzuMAgh\n", "hHgBKo4AJEnE/v17cTjXv85PorEMNpQ3NpQ3NpQ3eVBxBGAvz8ThXCW+3bpL7lAIIYR4ASqOAGqK\n", "DqBX70RkZWXJHYpH0VgGG8obG8obG8qbPKg4AqgtSkOfASNx5swZuUMhhBDiBag4AqgpSkO/Idcg\n", "JycHoijKHY7H0FgGG8obG8obG8qbPPy+OIqOWtjLTyE0bjjCwsKQl5cnd0iEEEJk5vfF0VZ2HKrg\n", "XlDwGixcuBA8z8sdksfQWAYbyhsbyhsbyps8/OvahRZYTYehCR8MALj77rtljoYQQog38Pueo9V0\n", "GBrDILnDkAWNZbChvLGhvLGhvMmDiqP5MLR1PUdCCCEE8PPiKEkSrObD0IRfIncosqCxDDaUNzaU\n", "NzaUN3n4dXF0WPLA8Vrw2nC5QyGEEOJF/Lo42kr/hDq0X6N1H3zwAU6cOCFTRJ5FYxlsKG9sKG9s\n", "KG/y8O/iWH6yWXFMT0/HwYMHZYqIEEKIN/Dv4lh2EuqQvo3W9evXDydPnpQpIs+isQw2lDc2lDc2\n", "lDd5+HdxLD8JdWjj4ti3b1+/KY6EEEJa5t/Fsaz5mKM/FUcay2BDeWNDeWNDeZOH3xZHwVYB0VYJ\n", "pT620fpevXohNzcXNptNpsgIIYTIzW+Lo708E+qQ3uC4xinQaDR47733IAiCTJF5Do1lsKG8saG8\n", "saG8ycNv51a1V2RBFdyjxdemTp3q2WAIIYR4Ff/tOVZmQxXUQ+4wZEVjGWwob2wob2wob/Lw2+Jo\n", "q8zy++JICCGkZX5bHJ09xwS5w5AVjWWwobyxobyxobzJw3+L4wXGHAkhhPg3vyyOkmiHYCmAKjCu\n", "1TbPPfcc9u7d68GoPI/GMthQ3thQ3thQ3uThl8XRXnUOvC4KnELVahuLxUJzrBJCiJ/yz+LYhpNx\n", "Bg4ciCNHjngmIJnQWAYbyhsbyhsbyps8/LI4OipzoAqKv2CbSy65xOeLIyGEkJb5ZXG0V+dBqe92\n", "wTaJiYnIzMyE1Wr1UFSeR2MZbChvbChvbChv8vDL4uiozms2p2pTOp0OvXr1ot4jIYT4IZ8sji++\n", "+CIMBkOznxdffBEA4LDkQdWgOLbWPjk5GYMGDWr39rtK+ylTpnhVPF2lfdMxILnj6Srt6feNft88\n", "3b4jOEmSpA5twQts374dQ4cObXP7rK+uQMz4tdAYBnZiVIQQQuSUnp6OCRMmML3XJ3uOF9OWw6r+\n", "gMYy2FDe2FDe2FDe5CHLXTkyMjKwbt06iKKI8ePHY9q0aS22y8zMxNKlS/HYY49h5MiRbtm3YKuA\n", "JIlQqEPcsj1CCPE0UZQgiCIcgghBcD6vf7QLIoQm6x2i6HqPKEp1z6WW10mS8/1NXq9fFqUW1omN\n", "YxCli+yjyTpHK9trGFNLsQjC+X219PjKvYOZc+zx4iiKItauXYtly5bBYDBg8eLFGD58OOLi4pq1\n", "+/zzzzFkyBC488ivozofSn0sOI5z2za7Krp+ig3ljY2n8yZJEhyCCLtDrHsU4HA9b7CuheULtasv\n", "HHZBaFyYBBGOlgpW3XpBcMYjtOO5qwB+crJuG871oiRBySvAKzjnI68Az3PgFYpm6xUKDkqF81Gh\n", "4MC7Hlte1/T1+uVG67gW1vEclEoF1Are9Xpr+2i4ruE+27pfXuH8vPXPOQ4tPmadOsb8++Px4piZ\n", "mYno6GgYjUYAQHJyMtLS0poVx++//x6jRo3CqVOn3Lp/R3Xjk3Ha9B6HA0ql3976kpBWOQQRdrsA\n", "m0OAzS7A7hBhq1u22wVY7QLsda8514kN2rbxPXUFynGRgta0nUMQoeQVUCqdBUPleuRbXG6tXdN1\n", "PF9XeBQKaNV8XRE6/we7vkA1Xa9UOItVa+sbbre+wDVc37CdguPoC34bZHXgvR7/i282mxEeHu5a\n", "NhgMyMzMbNYmLS0NTz/9NN577z23/hI4LO0bb/z666/x448/4oMPPnBbDN4iNTWVekEMvDFvkiTB\n", "7hBhtTlQa3PAahdgtTlgtQmosdlhtZ1frrU7XM9bam+1OVBjq2vTcL3d4SxYDQoaAKhVPFRKRd0j\n", "D7WKh1rJQ6VS1D3y0Kh4VJaXITra2Oi1hu/RaVWN1tdvR6lsvaC1tlxf6HyhgHjj75s/8Mru0Lp1\n", "6zB79mxwHAdJktx8WDUPSl1Mm9snJibihRdecNv+iX8TRQk1VjsstXbUWB2osTofnct21NQ6Wny9\n", "0bqGr9Web6NQcNCqldCoeWjUSmhUzkfXOpXzUeta51wO0KoQFhRw/n1qHlrV+dddbVWNi5ZK5SxI\n", "bUV/5ElX4vHiaDAYYDKZXMsmk6nZ9SinT5/Gm2++CQCorKxERkYGlEolhg8f3up2G/7Hqz+7q6Vl\n", "h6UQZ80qHG9j+8TERBQWFmLz5s246aabLtqeln1zWZIkDLt8FKosNhSUWvHZpp/Qu98AVNfY8dvv\n", "R1BrE2GM7obqGjtOnclBrV2EVheM6lo7ikvKUGsXYRc4WGrtUPKARsUjJEiHAK0SdmsNNCoFYqMi\n", "EaBVoby0BGqlAn16JyAsOAC1Z3MQqlJg3NCB0GqUyPzzGNQqBa4ceTl0WhUy0tOgVilw1dgx7fx8\n", "V7T+ugMYNcx78u/Py/XrvCWerrbMyuPXOQqCgAULFjQ6IWf+/PnNxhzr/eMf/8CwYcMueLZqe65z\n", "zPvvXxDU+xYE9Zza5phnzpyJu+66CzfeeGOb30O8k90hoLLahvLqWlRUW1FRZXU+1v9UWVFhsaK8\n", "qsm6aiuUSgWCdGroA9QIDFBDH6Cqe2z8PFDX8muBAWroAlTgFX55BRUhHteR6xw93nPkeR5z587F\n", "ypUrXZdyxMXFYdu2bQCAiRMndur+HTXF4AOM7XrPyJEjsXfvXp8rjr5wmMvuEFBWWYvSilqUVtag\n", "tKIW5ooa1/PSihqUVjofzRU1qLE6EKhTI0SvQZBeg5BADYL1dT+BGsQagzBAH4kgvRohgdrzr+k1\n", "UKt4AL6RNzlQ3thQ3uQhy5hjUlISkpKSGq1rrSg+9NBDbt23UFMMZUBku94zatQo/POf/3RrHOTC\n", "bHYBJWUWFJdWOx/rnheXWlBcVreu1AJLrR0hgRqEBQUgNFgLQ3AAwoKcj4k9IhAWpEVYcADCgrUI\n", "CwpAsF4DhaLrn6RBCOlcfjd9XOYn3dHz9sPg1cGdHBVpjSCKKCm1IN9UhfySSuSXnH8sKq1GSakF\n", "1bU2hIfoEBGqQ2SYDpFhekSG1i/rERnmfB6i11KxI4S0qEsdVpWT6LBAEu1QqILkDsXnVVZbkVNQ\n", "jpzCcuQUlCOv+HwRLCqtRohei+iIQMREBCImIgh94g0Yk5SAKIMexjA9QgKp6BFC5ONXxVGoKQYf\n", "EOkT1z65Q0fHMqw2B7Lzy3EmvxS5BRWNiqHNLiA+Khjdo0IQHx2CpP4xuCHZWQijDHpo1F33V4/G\n", "gNhQ3thQ3uTRdf9CMXDUFLX7ZBzinAUlp6Acp8+VIjPXjFNnzTh1thT5JZXoZgxGj9hQdI8KwdDE\n", "GEwd1x/do0IQEaqjLyGEkC7Lr4qjUFMMpbZ9J+P4spa+jdodAjJzzTh6phjHzpTg6JlinDlXCqNB\n", "j95xBvSOC8M1I3rhb9MNSIgJgUrJyxC5vOhbPBvKGxvKmzz8qjg6aorA69h7jn/88QfCwsJavSaz\n", "q5EkCWeLKpBxogC/ZxbWFcIydDMGYWDPSAzoGYnJY/qhX/dwBGhVcodLCCEe41fF0XkZB3tx/OKL\n", "L2A0GvHYY4+5MSrPcQgi/swxIeNEATL+LMD+wznQaNRI6h+DS/tE4abRVAjbgsaA2FDe2FDe5OFX\n", "xdFRUwx1SB/m948dOxYffvhhlyqOZ4sqsPePs9h7+CwOHDmHiFAdkvrHYOzQBCT34THl+qtpbJAQ\n", "Qprwq+Io1BRBGTWK+f3Jycn429/+BqvVCo1G48bI3MfuEJB2LA8/H8zC/34/ixqrHSMvicO4YT3w\n", "1F+SERmmb9C6n2xxdmX0LZ4N5Y0N5U0e/lUca83gteEXb9iK4OBg9OvXD2lpaUhOTnZjZB1jqbVj\n", "z6Ec/HwwC3sO5SIhJgTjhvbAqwuuRd94A/UMCSGknZiLY0ZGBoYMGYItW7ZAr9dDp9NhxIgR7ozN\n", "7QRrKRRaw8UbXsBVV12F3bt3y14c7Q4Be/84iy17TuLXQ7m4pI8R44f3xILbRzXpHbaOxjLYUN7Y\n", "UN7YUN7kwVwchwwZAsB5v0O9Xo8zZ864LajOItaawWvCOrSNyZMn49SpU26KqP1OZJfg/3adwE97\n", "TyEuKhg3JvfFor+ORmiQVraYCCHE17R7btV33nkH0dHRiIuLQ79+/Zrdi1EObZ1b9eTHseh9ZyYU\n", "Sp0HonIfm13Af/efxr//ewRF5mpMvao/bkjui/ioELlDI4QQr+XRuVVvvfVWGI3OyyFOnTqFs2fP\n", "4tJLL2XauSeJjhoAEjg+QO5Q2qy0ogZf/PgH/rPzOPp2N+CvN16GMUkJ7br7OiGEkPZr91/Z06dP\n", "Y/fu3aisrETv3r1hsVg6Iy63E6xmKDRd4+SUQlMVXvnXHtz89w0oq6zFmqVT8N6im3D18J5uLYz1\n", "d8wm7UN5Y0N5Y0N5k0e7e44mkwkhISH46KOPUF5ejgEDBmDUKPbLIzxFrC3t8HhjZysps+DD/xzE\n", "T3tPYcrY/tj44sw2n1xDCCHEfdpdHIcNG4aKigo8/vjjnRFPpxGs3lscLbV2fLrlEDZsO4wpY/vj\n", "P6/ehrCgzj/8S2fAsaG8saG8saG8yeOixTEvLw8cxyEmJgYAEB0djejo6E4PzN0Eqxm81n3FcfPm\n", "zTh37hz+9re/MW9DkiRs3XMSb325D5cPjMXnK25BbCTda5IQQuR20QGsqKgoFBcX44cffsBPP/0k\n", "62UMHSHUloLXuO/M2rCwMGzYsIH5/dn5ZXjwxS347Pvf8fpj12HlQxM8XhhpLIMN5Y0N5Y0N5U0e\n", "F+058jyPSy+91HVGamZmJn766SeIoojY2FgMGjQIPO/9ty1ynpDjvp7jiBEjkJWVhfz8fFevui1E\n", "UcLnP/yOj7/NwNwpSZh13SV09ikhhHiZdo859unTB336OCfvzsvLw44dO+BwOGAwGHDZZZdBq/XO\n", "i9FFayn4APfdy1GlUuHaa6/Fli1bcO+997bpPUXmajz9wU5YbQ58+tzNiDMGuy0eFjSWwYbyxoby\n", "xobyJo8OdVliY2MxceJEXH/99ejbty/S09PdFZfbCbVmtx5WBZyz5Xz33XdtavvLb9mYvXQThiXG\n", "4KOlU2QvjIQQQlrntuN5BoMBV155pbs253aCtRR8B+dVbWr8+PE4fPgwKioqWm0jSRLWfJOO5/+5\n", "G68uuBb33TzMaw6j0lgGG8obG8obG8qbPDp8Vw6r1QqVSoVz584hPj7eHTF1CsFa6tYxRwAICAhA\n", "RkYGgoJaPpGmxmrH0+/vRKG5Gp89N52uWSSEkC6iw8Xxq6++gk6ng91u9+riKFpLwWtC3b7d1gpj\n", "RbUVC177ATERgVizdArUKu87aYnGMthQ3thQ3thQ3uTR4eLYo0cPXHHFFTh9+rQ74uk0gq0CCrVn\n", "JuouLq3Gwy9vxYhB3fD47CugUHj/lHWEEELO6/DgV9++ffHpp58iMzPTHfF0GtFWAV7d+SfBFJmr\n", "cc+Kb3HdqN54Yo53F0Yay2BDeWNDeWNDeZNHu3uOTW9ZZTQacdddd3VCaO4jiXZIghWcsnPH/Mzl\n", "NXjgxc2YfvUA3DV5SKfuixBCSOfxi1tWibZKKNRBnXpHju07duGd7zJx7ehLu0xhpLEMNpQ3NpQ3\n", "NpQ3efjFLasEWwUUqs6bms3uEPDks29AUXYMD0wf3mn7IYQQ4hntLo4mkwkKhQIfffQRli9fjqys\n", "rE4Iy71EeyUUnTTeKEkSXv50D3oNHo3iUwe6xP0i69FYBhvKGxvKGxvKmzz84pZVnXkyzr//ewSH\n", "ThZi7YuP4MpR63D06FEMHDiwU/ZFCCHEM9rdc4yOjka/fv0AAIcOHcKqVavcHpS7ibYKKFTuL47H\n", "zhTjw/8cxKvzr0VwoBYzZszAxo0b3b6fzkJjGWwob2wob2wob/Jod8/R4XBg9+7d2LJlC3Q6HXJy\n", "cjojLrcSbRVuP6xaZbHhqdX/xVN/GY3u0c7rJ2fNmoXp06cjJSUFKpXKrfsjhBDiOW3uOVZWVuKr\n", "r77Co48+ij/++AMPPvggVqxYAZ1O15nxuYXQCcVx1bpfMGpwHK4d1du1LjExEatWrYIoim7dV2eh\n", "sQw2lDc2lDc2lDd5tKnnuGbNGhw4cABjxozB888/j/Dw8M6Oy63cPea462AWDp8qwpcvzGj22tSp\n", "U922H0IIIfJoU3EcM2YMYmNjER8f3+UKI1BXHN10R47KaitWrUvFyofHI0DTtQ+d0lgGG8obG8ob\n", "G8qbPNpUHPv374/+/fujqKgI27dvR0BAAEaMGAGlssNTs3qEaK+AKijBLdt688u9uGpoAoYlxrpl\n", "e4QQQrxPu85WNRqNmDBhAoYMGYJff/0VP//8M+x2e2fF5jbuOiHneFYJdqdn45HbRrghKvnRWAYb\n", "yhsbyhsbyps8mLp+Op0OY8eOhSiK0Gq17o7J7dxxQo4kSXjlX3vw4IzLEaTTXLS9zWZDUVER4uLi\n", "OrRfQgghntehu3IoFAqMGjXKXbF0GneckLNt32lU19gx9ar+bWr/3//+F3fffXeH9tnZaCyDDeWN\n", "DeWNDeVNHh2+ZVVX0NHp4xyCiH98dQCPzR4FXtG2lF133XUoKSnBgQMHmPdLCCFEHv5RHDt4WPWH\n", "XzMREarDiEHd2vwenudx//3347333mPeb2ejsQw2lDc2lDc2lDd5UHG8CIcg4qNvDuKB6cPbPan4\n", "nDlzsGvXLpw9e5Zp34QQQuTh88VRkkSIDgsUjDc6/n7PSRjD9Bg+sP2XbgQHB2PWrFn48MMPmfbd\n", "2Wgsgw3ljQ3ljQ3lTR5d40LFDpAcFnC8FpyCb/97JQn/2vo7HpvDftLRgw8+iCNHjjC/nxBCiOfJ\n", "UhwzMjKwbt06iKKI8ePHY9q0aY1eP3DgAP7973+D4zhwHIc777wTl1xyCdO+RHs1c6/xwNE8iJKE\n", "UZewX44RFxfntZdzpKam0rdSBpQ3NpQ3NpQ3eXi8OIqiiLVr12LZsmUwGAxYvHgxhg8f3qiADB48\n", "GJdffjkAICcnB6+88gpWr17Ntj97NRQqtsnRv/jhD9x+3SVd6gbGhBBCOs7jY46ZmZmIjo6G0WiE\n", "UqlEcnIy0tLSGrVpOLFAbW0tgoPZzzSVHBZwDD3HnIJy/J5ZiBuS+zLv29vRt1E2lDc2lDc2lDd5\n", "eLznaDabG01ebjAYkJmZ2azd/v37sX79epSWlmLp0qXM+xPtVVCo2l8cN+04imlXJXb5ycUJIYS0\n", "n9eerTpixAi88cYbeOqpp5gPqQKoO1O1fYdV7Q4BW1JPtnk2nLaqrKzE/v373brNjqDrp9hQ3thQ\n", "3thQ3uTh8Z6jwWCAyWRyLZtMJhgMrd9OasCAARBFEZWVlQgKCmq1XcNB6/pfptGjR0O0V6O0woqs\n", "Vl5vafmj9T8iVMchISa0Te3buhwREYE77rgDq1evhl6v7/D2OrrcMHdy7L+rLv/xxx9eFU9XWa7n\n", "LfF0lWX6fevYMitOkiSpQ1toJ0EQsGDBgkYn5MyfP7/RCTkFBQWIiooCx3E4ffo03njjjQv2Hrdv\n", "346hQ4e2+FrFyQ2oPrsDMVd/0OYYH3/jR4xNSsC0cYlt/2Bt9MgjjyA6OrpDh4oJIYRcXHp6OiZM\n", "mMD0Xo/3HHmex9y5c7Fy5UrXpRxxcXHYtm0bAGDixInYt28fdu/eDZ7nodVqMX/+fOb9Oc9WbfuY\n", "Y1llLdKO5mHFA1cz7/NCFi1ahLFjx+Kee+5BTExMp+yDEEJIx8hynWNSUhKSkpIarZs4caLr+dSp\n", "UzF16lS37Et0VLdrzHFn2hmMvKQb9AFqt+y/qbi4OMyZMwevvPIKXn/99U7ZR1vR9VNsKG9sKG9s\n", "KG/y8NoTctxFtFeDa0fPcdv+07hmZK9OjAh47LHH8N133yEvL69T90MIIYSNzxdHyWFp82HVsspa\n", "/HGyEGOGJHRqTAaDAbt370ZsbPvna3Un+jbKhvLGhvLGhvImD58vju2ZPu7ng1kYNTgOOm3nX9tI\n", "442EEOK9fL84Otp+Qs6u9CxcPbxnJ0fkPej6KTaUNzaUNzaUN3n4fHGU7BZwbTghx2YXcPBYPq68\n", "NN4DURFCCPFmPl8cRUfbpo/77UQ+enYLRWiQ9qJtO4Moih7fJ41lsKG8saG8saG8ycP3i6O9bTc6\n", "Ts3IwejLunsgoub27NmDOXPmwMPzMRBCCGmF7xdHR9su5djzey6Sh8hTHEeMGIFz585h48aNHt0v\n", "jWWwobyxobyxobzJw+eLo9SGicfzSipRUWVFYkKEh6JqTKVS4a233sLTTz+NkpISWWIghBByns8X\n", "x7ZMH3fwaB6GDYiBQiHfTY2TkpIwc+ZMpKSkeGyfNJbBhvLGhvLGhvImD98vjo6LjzkePJ6PYYny\n", "XpAPOOddTU9Px3fffSd3KIQQ4td8ujhKkgjJXn3RSznSj+dj2AD5L8rX6/X45JNPMHz4cI/sj8Yy\n", "2FDe2FDe2FDe5CHLxOOeIjlqwPFacAq+1TYFpipU1djQq1uYByNr3aBBg+QOgRBC/J5P9xxFhwUK\n", "1YV7jQeP5WFoYgw4Tr7xRrnQWAYbyhsbyhsbyps8fLs42qvBXWS8Mf1EPoYlyn9IlRBCiPfw6eLo\n", "vIwj4IJt/sgswmV9oz0UUfsJggCLxdIp26axDDaUNzaUNzaUN3n4dnEUasFdoDjW1NpxtrACfbsb\n", "PBhV+3z44Yd4+OGHafYcQgjxIJ8ujqKjFgq+9blSj2WVoE+8ASpl6yfsyO3uu+/GmTNn8NFHH7l9\n", "2zSWwYbyxobyxobyJg+fLo6SUANO2XpxPHK6CIN6RXowovbTarX4+OOP8eqrr2Lv3r1yh0MIIX7B\n", "x4ujFdwFeo5HThdjUC+jByNi07NnT/zjH//A3LlzkZub67bt0lgGG8obG8obG8qbPHy6OIp11zm2\n", "5mgBXWIAACAASURBVMipIgzq7d09x3rXXHMNHn30UaxevVruUAghxOf59iQAQm2rZ6uWVtagvNqK\n", "hOhQD0fF7oEHHoAgCG7bHo1lsKG8saG8saG8ycOne46So7bVnuOJLBP6dw+XdbLx9uI4DkqlT3+f\n", "IYQQr+DbxVGoBafUtPha5lkz+sR77yUcnkBjGWwob2wob2wob/Lw6eLovJSj5cOqmbm+URzp+kdC\n", "CHE/ny6Ozp5jy4dVfaU4zp07Fz///DPTe2ksgw3ljQ3ljQ3lTR6+XRwdNeD45odVRVHCmbxS9O7W\n", "9Yvjfffdh/vvvx8HDhyQOxRCCPEZPl0cRcEKroXDqmeLKhAapEWgTi1DVO515ZVX4t1338WcOXOQ\n", "np7ervfSWAYbyhsbyhsbyps8fLo4SkINFC0cVs3MNaN3XNfvNdabOHEi3n77bdx+++3IyMiQOxxC\n", "COnyfLs4Ompb7DmeOmtGXx8Yb2xo0qRJeOONN/Cvf/2rze+hsQw2lDc2lDc2lDd5+PRFc87Dqs3H\n", "HDNzzbhqWA/PB9TJbrjhBtxwww1yh0EIIV2eb/ccWzmseiavDL26hckQkXehsQw2lDc2lDc2lDd5\n", "+HZxbOGwqihKOFtUge7RITJFRQghxNv5dHEUW7jOsdBchUCdGjqtSqaoPKuiogLff/99i6/RWAYb\n", "yhsbyhsbyps8fLo4Si3c7DinoBwJftRrLC4uxlNPPYXXXnuNZtMhhJA28u3i2ELPMaegHN1j/Kc4\n", "9u7dGz/++CM2b96MRx55BDabzfUajWWwobyxobyxobzJw7eLYwv3c8wuKEf3KP8pjgAQExODzZs3\n", "o7y8HDNmzEBZWZncIRFCiFfz6eIotnA/x5yCciTEdJ17OLqLXq/HJ598gksvvRTvvfceABrLYEV5\n", "Y0N5Y0N5k4dPX+cotXCdY05Bud+eqcrzPJ5//nmIoih3KIQQ4tV8tucoSVLdYdXzPUdBFJFfUonY\n", "yCAZI5OfQuH8Z6exDDaUNzaUNzaUN3n4bnEUbYBCCU7Bu9aVlFoQotdCq/bpDjMhhJAO8t3iKFih\n", "aHJINd9UhZjIQJki8j71Yxk2mw1TpkzBr7/+KnNEXQONAbGhvLGhvMnDd4tjk0OqAJBXXInYCP8+\n", "pNoStVqNRx99FPfccw9WrVoFh8Mhd0iEECIr3y2OLVzjmEfjjY00HMuYOHEidu7cif3792Py5MnI\n", "zc2VMTLvRmNAbChvbChv8vDZ4ig6aprNjpNfXIkY6jm2Kjo6Gps2bcL111+PCRMmoKCgQO6QCCFE\n", "Fj5bHCXBSj3Hi2hpLEOhUGDevHnYvn07oqOjZYjK+9EYEBvKGxvKmzx8tzi2MDsOjTm2XXx8vNwh\n", "EEKIbGQrjhkZGViwYAHmzZuHb775ptnrv/zyC/7+979j4cKFWLZsGbKzs9u1fecdOc6fkCOKEgrN\n", "1YiOoLNV67GMZVRVVXVCJF0LjQGxobyxobzJQ5biKIoi1q5di5SUFLz++uvYs2cPzp4926hNVFQU\n", "nn32Wbz66qu45ZZb8OGHH7ZrH03vyGEqtyAwQE3XOHZAWVkZLr/8cqxevRp2u13ucAghpNPIUhwz\n", "MzMRHR0No9EIpVKJ5ORkpKWlNWrTr18/6HQ6AECfPn1gMpnatQ9JqG00dVxxqQXGMH3Hg/ch7R3L\n", "CA0NxZYtW7Bz505cffXV2LdvXydF5t1oDIgN5Y0N5U0eshRHs9mM8PBw17LBYIDZbG61/Y4dO5CU\n", "lNSufUiCrVFxLCqtRqRB1/5gSSO9evXCpk2b8Pjjj2Pu3LmYN28eSkpK5A6LEELcyutPyDl8+DB2\n", "7tyJOXPmtOt9kmgDp1C5lovM1dRzbIJ1LIPjOEyfPh3/+9//EBYW1ugekf6AxoDYUN7YUN7kIcsA\n", "nMFgaHSY1GQywWAwNGuXnZ2NDz74AEuWLEFg4IVPpElNTXUdfkhNTUVA6VHEhWlcy+l/FKJXzx6u\n", "ZQCN2vvjcsPcsW7v2WefRWpqKk6fPi375/HU8h9//OFV8XSV5XreEk9XWabft44ts+IkSZI6tAUG\n", "giBgwYIFWLZsGQwGAxYvXoz58+cjLi7O1aakpATPPvssHn30UfTr1++C29u+fTuGDh3aaF3p4fdg\n", "r8yG8YoXAQDLP9iJpP4xmDYu0f0fiDRTU1ODgICAizckhJBOkp6ejgkTJjC9V5aeI8/zmDt3Llau\n", "XAlRFDF+/HjExcVh27ZtAJxTmX311Veorq7GmjVrXO9ZtWpVm/chCXZwisYn5ESG0Zijp8ybNw/V\n", "1dVYsmQJBg0aJHc4hBDSLrJd15CUlNTsJJuJEye6nj/wwAN44IEHmLcviVZwvNq1XFRaDaOBxhwb\n", "ango2t1Wr16NdevW4ZZbbsGYMWOwaNEi9O7du1P25WmdmTdfRnljQ3mTh9efkMPKebZqk+JIJ+R4\n", "jFarxQMPPIC0tDQkJibiuuuuwzPPPCN3WIQQ0iY+e0W8JFihUDmniquptcNuFxCs11z4PZIE2+HD\n", "qNm+HdYjRyCWlgIA+MhIKOPioBkyBJqkJChjYzs9fk/wxLfRwMBAPPHEE5g7dy6OHDnS6fvzBPoW\n", "z4byxobyJg/fLY7i+Z5jcZkFkWF6cBzXavva9HSYUlIg5OdDd8MN0I0fDz4iAgAglJTAfuYMKj79\n", "FNb588FHRkI3cSJ0kyZBO2oUOIXPdsDdJiwsjP6TE0K6DN8tjg0mASgurUZEaOsn41T8858ofekl\n", "GJYvR+CsWRcsdpIowvrbb7Bs24aSv/8dYkUFAmfMQNDMmVAPHOj2z9GZvGEsQxRFLFq0CDfddBPG\n", "jBlzwS8w3sIb8tYVUd7YUN7k4bNdHkmwuiYBMFfUIDyk5csKKj7+GGXvvIPYH35A0OzZF+0FcgoF\n", "tMOGwbBoEeL37EH0l18CkoT8W2/FuWuuQeXnn0O0WNz+eXyVKIoYOHAgnnzySVx11VX44osvYLVa\n", "5Q6LEOLnfLc4iud7juaKGhiCmxfH2n37UPrSS4jZtAmqnv/f3p2HR1XeewD/njNLJttkMgnZFwIJ\n", "CSQQKGHHogmE1t22Wiv2ktJaKrWACy3KLd5qex+9rVqhgLbaQtXeXmjFpehTQQHBoAJJCBIJCSSS\n", "TPZM9sx25rz3jyFDtknCyXJmDr/P88yTWY6TX36GfOc97znvSZL0ffzS0xH2X/+FhDNnYNi0CV3v\n", "vovLM2eiafNm2M+fH9XPMN684dOoWq1GXl4e8vPzsXXrVvzzn//E7NmzsWfPHrlL88gb+uaLqG/S\n", "UN/kofDdqq45R3O7BaH9wlHs7kbjQw8h/Le/lRyMvXEqFQJXrkTgypVwVFWh469/Re1dd0EzdSr0\n", "a9Yg8NZbwWm1w7/RdYrneSxfvhzLly/Hl19+ec0LzRNCyFhS7sjRaXcvAtDSbh0wcmx/5RVopk9H\n", "4G23jfn31sTHw7hlCxKKi6F/4AG079mDy5mZMP/3f0Mwmcb8+0nlrWs2Tp8+3eOnZVEUJ7iagby1\n", "b96O+iYN9U0eyg1H0QZOdXXO0dhrzlHs7ETbjh0wPv74uNbAaTQIuuMOxLz9NqL374fY1obqG25A\n", "3X/8B7qPHIEMK/f5NFEUsXTpUvz85z9HSUmJ3OUQQhRMueHYa+RobrMgVH/1wscdb7wB3eLF0E6f\n", "PmH1aNPSEP7ss0goLkZAdjbM//mfqF6wAG27dsHZ1jZhdfTma3MZPM9j7969MBqNuPvuu7Fy5Urs\n", "3r0bbRPcP1/rm7egvklDfZOHcsOx13mOLf0OyOl44w3o8/JkqYsPCoI+Lw+xx45h0rZtsBYUoGr2\n", "bDRu2ABbcbEsNfmSuLg4bN68GWfOnMGjjz6KI0eO4MEHH5S7LEKIwig3HJ2DH61qKy6G2NYG3Q03\n", "yFkeOI6DbuFCRP7pT4j77DOoExNRt2oVTLm56Pi//4NotY57Db48l6FWq5Gbm4vdu3fj9ddfn9Dv\n", "7ct9kxP1TRrqmzwUHI6uhccdghMWm4DgAFdQdu7bh6DvfterVrVRR0Qg9JFHkFBYCMPDD6Nz715c\n", "njULzb/6FRxffSV3eV6P9/D/8vnnn8cLL7yAysrKiS2IEOLzvCchxhgT7eB4LVrarTAE68DzrpVX\n", "uj/4AIHf/KbM1Q2OU6sR+M1vIvqf/0Ts++8DDgdMOTmou/dedB88COZ0jun3U/pcxtKlS2EymZCb\n", "m4vly5fjD3/4A6qrq8fkfcm1o75JQ32Th3LD8cpu1d67VB2XL0NsbYU2M1Pm6oanmToVYb/+NRKK\n", "ixF4221oefZZXJ41C+ann4a9rEzu8nzC/Pnz8bvf/Q4lJSXYsmULSktLsXz5crS3t8tdGiHEyyk7\n", "HHltn3C0HDoE/+xsr9qlOhw+IADBq1Yh9tAhRO/bB+ZwoPb222FauRLtu3dDHMUf+utlLkOtVuOm\n", "m27C9u3bce7cOej1+gHbMMZGfGrN9dK3sUZ9k4b6Jg/fSYlr5DrP0e/K6jiu0zi6Dx9GQE6OzJVJ\n", "p50xA2FPPYWEs2dheOQRWA4fxuVZs9Dw4x+j+/DhMd/tqkQqlWrQ5z/66CPMnz8fTz75JD7//HOv\n", "WGyAECIf5Yaj0w5OpUFbpxWGIB0YY7CdOgW/BQvkLm3UOLUagStXInLPHsQXFMBv3jyYn34alzMy\n", "0LR5M6wnT45oFERzGVdlZ2fjlVdegVarxcMPP4z09HSsX78eJ0+eHLAt9U0a6ps01Dd5KHdtVdG1\n", "CEB7pw36ID84TSaAMajj4uQubUypjEaEPPAAQh54APayMnTt34/Ghx4Cs9kQ9K1vIfBb34I2Pd0n\n", "LgUlJ47jkJmZiczMTGzZsgWXLl3CwYMH0dHRIXdphBAZKHLkyEQBAAeOV6G9y4aQIB2sp0/D72tf\n", "U3RIaFNSEPrznyPu008R+dprYIyhftUqVC9ahJbf/hb2Cxf6bE9zGZ5NmTIFa9euRXZ29oDXjh8/\n", "jt27d+P999+ng3uuAf2+SUN9k4ciR46ucxxd5zW2d9kQHKCF7fhp+M2dK3NlE4PjOPjNnAm/mTNh\n", "3LoVtpMn0fnmm6i96y7wQUEIvPVWBN56K0Bru47KH//4R6xduxbTp0/HsmXLsGzZMixYsABqtSL/\n", "WRFyXVHmyLHX5araOl0jR1tBwXUTjr1xHAfd/PkIf+YZJJw9i0k7dwKMoWHtWsSvW4emzZthOXYM\n", "TBDkLtVnLF26FHl5edi/fz9KS0vxxBNPQBAEPPXUU7Db7XKX57Vo7kwa6ps8FPkRt2cBAMA1ctQH\n", "amE/dw5+GRkyVyYvjuehmzsXurlzEfrLX8JRWoquAwfQvHUrhOpqBOTmImDlSgTceCP4QU53IAP5\n", "+/u7R42etLa2Yt++fVi8eDGmT5/ucUUfQoj3UOS/UiY6wPGuy1W1dVqht3YAKhVU4eEyV+Y9OI7D\n", "501NCH30UcQdPozYjz6C36xZ6HjtNXyVkYGa229H6/btsJ8/T5fW6uda54C6urpw9uxZ5OXlITk5\n", "Gffddx+2bduGs2fPjlOF3onmzqShvslDoSPHq+HY0WVHQG0VHCkpMlfl3TTx8QhZuxYha9dC7OqC\n", "5fhxWA4eRN099wAch4AVKxCQmwvd0qXgAwLkLtenxMbGYtu2bQCAuro6fPrppzhx4gQOHDiAmTNn\n", "ylwdIWQwHFPAsODDDz/E1772Nfdje+sF1Bz8PhK+/SkW5P0JHyxTQSguxqQXX5SxSt/EGIOjtBTd\n", "Bw+i+9Ah2AoL4TdnDvyXLYP/smXwmz0bnIcT64k0//jHP/DZZ59h3rx5yMrKQlJSkqKPsiZkvBQU\n", "FCBH4sIvyhw5Oh0Ar0GXxQ5/Pw2c5RegoZGjJBzHQZuWBm1aGgw/+xnEjg5YT5yA5ehRNG3YAKGm\n", "BrolS9xhqUlOpj/kozRz5kzU19fj/fffx9NPPw2r1YqsrCxs2LABCxculLs8Qq4LygxH5tqt2tbl\n", "WgDAceECAm66Se6yvM7x48ev+Ug4PjjYdeBObi4AQKivh/XYMXQfOYLWF18EGHMF5ZIl0C1eDHVi\n", "ouLCUkrfrkVqaipSU1Pdj2tqanDq1CmEe5gzr6qqQkREBPz8/MatprEw3n1TKuqbPJQZjleWjmvv\n", "skEf4AdHWRk006bJXZYiqSMjEfSd7yDoO98BYwzCpUuwHD2K7o8+gvnXvwY4DrpFi+C/eDF0ixZB\n", "k5rqUwu/e4OYmBjcfvvtHl/funUrPvjgA6SkpCAzMxNz5sxBZmYmMjIyoNFoJrBSQpRDkXOO3bX5\n", "aD79G5gSX8br+z/HIzvXIclkormxCcYYg1BZCWt+Piz5+bCeOAGxrQ26RYvcganNyABHf8BHzWKx\n", "4IsvvsCZM2dQWFiIM2fOYN++fYiOjpa7NEJkQ3OO/YmuOce2LitihA6oY2IoGGXAcRw0SUnQJCUh\n", "eNUqAIBQUwPriROwnjiBhjfegFBVBb9Zs+CXlQXdvHnwy8qCOipK5sp9j7+/P+bNm4d58+YNuZ0g\n", "CMjJyUFKSgoyMjKQnp6OjIwMREVFKW73NyGjocj9W65FADRo77Qh0t4GdXy83CV5JTnOn1LHxCDo\n", "299G+O9+h/j8fCSeOwfDY4+BDwpC+2uvoXrJElyeNQv1a9agdedO1xVGbLYJr3MovnzeGc/z2Llz\n", "J1asWIHm5mbs3LkTy5Ytw/z588f9e/ty3+REfZOHIkeOTBTcB+SEd7Uo7kocSsLr9Qi46Sb3AVM9\n", "85bWU6dgO3UKTXv3wlFeDm1aGvzmzIE2MxN+s2dDm5pKu2Ml4Hke6enpSE9Px3e/+10Arp63trYO\n", "un1lZSV+9atfIS0tDWlpaUhNTcXUqVNpLpMonkLD0QGOV6Ojy4apHc1Qp9HIcTDeeAQcx3HQTJ0K\n", "zdSpCL7yx1vs6oLtzBnYiopgPXYMbdu3QzCZXIE5eza0s2dPaGB6Y99Gg+M4hIaGDvqawWDAzTff\n", "jPPnz2Pv3r0oLS1FTU0N7rjjDuzateuavo/S+jZRqG/yUHA4atFpsSOotRGaBDo3zJfxgYHwX7wY\n", "/osXu58TOzpg++IL2IuKYD1+HG1/+AOE6uqrgTlzJrQZGdCmpYEPDJSxet9mMBhw991393nOYrHA\n", "bDYPuv3Ro0exZ88epKSkICUlBcnJyZg6dSqCg4MnolxCxowiw7HngJwuiwP+5kbareqBL58/xQcH\n", "w3/RIvgvWuR+TuzshP2LL1wjzM8/R/tf/gJHWRnUsbHQzpgBbXq665aRAXV8vOQDUHy5b2PB398f\n", "sbGxg742bdo0fOMb30BZWRkOHDiA8vJyXLp0CT/84Q+Rm5t7XfdNquv9900uigxH5rSD49Xostih\n", "bWmEig5nvy7wQUHQLVwIXa9VZJjDAUd5OewlJbCfO4f23bthP3cOYmcntDNmwC8jwxWYM2a4Rpl0\n", "NZJRiY6Oxj333NPnOVEUYbFYUFhYOGD7F198EX//+9/do8zk5GRMmTIFaWlpMBgME1U2IQMo8jzH\n", "1pI/w2Y+h8c/+jq2/PGnSCopoT96pA+n2Qz7uXNXbyUlsF+4AF6vhzY1FZrU1D5fVUaj3CUrUnd3\n", "NyoqKlBWVoby8nKUl5fj4sWLWL16Ne6///4B21dWVoLjOMTGxtJFpcmw6DzHfnquymFvbwdEBo7m\n", "O0g/KqMR/jfcAP8bbnA/x0QRgskEx/nzsJeWwnb6NDr+9jfYS0vB63QDAlOTmgrVpEl0fuAoBAQE\n", "uI+eHYl9+/bhr3/9K5qamhAXF4fJkycjKSkJq1evHvF7EDISCg1H125VtbkJHP3x8ojmMvrieB6a\n", "+Hho4uMRsGKF+3nGGJy1tbCXlsJRWorLH36IsDffhP38eQBwH13rviUnQzNlCvigILl+FK80Fr9v\n", "mzZtwqZNm2C1WnH58mVUVFSgoqLC46klO3bsQFNTExISEhAfH+/+6u/vP6o6JhL9O5WHIsMRogCo\n", "tNC2mqGOjJS7GuLjOI6DOiYG6pgY4Kab0JaRgZlLl4IxBrG5GY6LF923rrffdt2vqABvMFwNzClT\n", "XKE5dSo0kyeD02rl/rF8mk6nw7Rp0zBtmDWTp02bBqvViqKiIrzzzjuoqqpCdXU13nrrrUGvcFJT\n", "U4PQ0FCfCk8yPhQ559hc8D9gooCnNpvweGwnovfskbE6cj1ioghnTQ3s5eWusOz5evEiBJMJ6thY\n", "aCZPhiYpCerERGgmT4Y6KQmaxETwNA0wrkRRBGMMqkGWlLz77rtx/PhxhISEIC4uDrGxsYiNjcXG\n", "jRsREREhQ7VkNGjOsR8mOuCEGmH2TmjoSFUiA47noY6Lc51GdOONfV5jdjsclZUQKivhuHKzfvop\n", "HBUVEL76ClxAgCssJ092fU1MdK1Rm5gIVUwMXdVklPgh+rdv3z6Iooi6ujpUV1fDZDLBZDJ5vBzY\n", "6tWroVar3SHac6Mrovg+xYajg2kR7uyGij7teURzGdKMtm+cVgvttGnQDrJLkDEGZ0ODOzh7rmrS\n", "+be/wVFZCbGlBeqEBKgTE6G+Mj+qjo93BXF8PFSRkV67yL6v/L7xPI+YmBjExMQMu+2DDz6Iqqoq\n", "mEwmXLx4ER9//DFMJhPeeeedQcPxL3/5C0JDQxEdHY3o6GhERkYOex1OX+mb0ig2HO0ij1ChGyoP\n", "F4glxBtxHAd1ZCTUkZHQLVgw4HWxuxvC5cuu4KyqglBVBduZM677JhOcLS1QR0e7ArNXaGp67sfF\n", "gfPyiyL7koULFw46dzkYxhhKS0tRW1uLuro61NbWoqGhAcHBwfjyyy8HnJrCGENhYSGam5shCAKd\n", "ujLBFNltJjpgEzjoBQudnzYE+jQqjZx94wMCoE1LgzYtbdDXRasVTpMJjivBKVRVuUaePY9ra6Ey\n", "Gt2hqY6LgzomBqroaPdBR6rISHDj8If4ev994zgOzzzzTJ/nRFFES0vLoMFns9nw6KOPoq6uDg88\n", "8ADCwsIQFRWFhIQE7BnkOArGGKxWKx1MNEYUGY4QHbALHIJtXeDDwuSuhpAJw+t04K8cITsY5nTC\n", "WVfnCsrqagjV1XBUVMDyySdw1tZCqKmBs7kZqvBwqKOjoboSmO7g7LkfHU0j0DHA8zzCPPyN0ul0\n", "OHz4MADXdTgbGhpQV1fncV3bpqYmzJw5E35+foiIiEBERAQmTZqEKVOmYOvWreP2MyiVbOFYVFSE\n", "3bt3QxRFZGdn48477+zzuslkws6dO1FZWYl7770Xt91224jfmzntsAocAm1dUHm42gChuQypfLlv\n", "nEoFdWws1B7WRgVcS+456+shmEwQegKzpga2oiIItbVw1tRAqKsDHxLi2oXbE5pRUVBFRrq/qiIj\n", "XYskXJkD9eW+yamnb8PNg06aNAm1tbVob29HfX09GhsbUV9fD5uH66FWVFQgJyfHHaQ9t+TkZKxZ\n", "s2a8fhyfIUs4iqKIV199Fb/85S9hNBrx+OOPIysrC3G9FggPDg7GmjVrcPLkyWt+fyYKsDo4hFs6\n", "oaKRIyHXhNNorh5p6wETRTgbG11BWVvrmu+sq4P1s8/grK93hWt9PcTWVqjCwqCKjIRRq0VjWpor\n", "NKOioO4J0KgoqCMiaCQ6BjiOQ0hICEJCQoY9BzQxMREnT55EQ0NDn5unMC0pKcG9996L8PBwhIWF\n", "ITw8HOHh4Zg2bRq+//3vj8ePIytZwrG8vBxRUVHu84aWLFmCU6dO9QlHvV4PvV6PgoKCa35/Jjpg\n", "tTP4WTvB08jRI/oULw317cqpKlcOHPKbM8fjdszhcIVofT1C6+vhrKuDs74e9nPnYPnoI1eI1tXB\n", "2dgIPijINfK8EpiqiAioJk1yfQ0Pv/o1PHxc5kS91Xj9vvXs0g0LC8P06dOH3T4lJQX/+te/0NjY\n", "iObmZjQ1NaGpqQl2u33Q7U+fPo28vLwBYZqeno7vfe97Y/3jjDlZfsPMZnOf/exGoxHl5eVj9v5M\n", "dMDeYYXTL+C6+kdEiLfhNBr3fOVQ40ImihDNZgi9AlSor4dQUwN7cbErYHtuLS3g9fq+gdkrOPs/\n", "xwUG0hKSY0Cj0SAhIQEJCQkj2n7WrFl477333CHacxMEYdDtP/74Y6xevRpGo7HPbe7cufjRj340\n", "YHu73Q5RFKHT6Ub1c3mizOQQHRA6LBCC6UocQ6E5IGmob9IM1TeO593hhmEWEGdOJ0Sz+WpYNjW5\n", "79sKCvoGaWMjwHGuEWjv4Jw0CbzR6NrlGxZ29b7RCC442KvC1Fd/3zQaDeLj4xEfHz+i7ZcuXYqC\n", "ggKYzWY0NzejpaUFZrPZ46XLjh07hlWrVkGtViM0NNQdpjfeeCM2bNgw6vplCUej0Yjm5mb34+bm\n", "ZhhHecpF718gs7kRLdUhcOoN7teAq7sn6PHxAb3zhnp85fHZs2e9qh5fedxjtO/3yYkTA1+PjBx0\n", "e8YY8g8eBN/WhjmJiXA2NqL0xAnwjY2Is1hgP3sWTeXl4NvbEWCzwWk2Q7TZIOr18I+OBh8WhhZR\n", "hKjXIzY9HaqwMJQ3NkLU6zFr2TKojEZ8WloK+PnR79sYPA4NDcW5c+cAACtXrnS/3vvve8/2OTk5\n", "qK2txaFDh9DR0YEpU6bAbDbj0qVLY/KBQpa1VZ1OJzZu3NjngJwNGzb0mXPssXfvXvj7+w95tGr/\n", "tVWrDtyO/Pw4pH1+GZkH/zUuPwMhRJlEi8U1MjWb4WxuhtjcfPV+v689N06jgcpoBH9l9KkKCwMf\n", "GgpVaCj4KzeVwdD3uZAQr13NSCl8bm1VlUqFNWvW4De/+Y37VI64uDgcPHgQALBixQq0trbi8ccf\n", "R3d3N3iex3vvvYcXXnhhRPuXmegA67CBCwkZ7x+FEKIwvL8/+GFOd+mNMQbW1eUOyp4wFVta4Gxp\n", "gePiRfd9saUFztZWiC0tENvbwQcFuYLSYBgYngaD+77qyuOe+3RVl/En25zjnDlzMKffUW4rel1D\n", "z2AwYNeuXZLem4kOsG4LVHoKx6H46lyG3Khv0ii1bxzHgQsKAh8UBE1i4oj/OyaKENvb+wSnumtX\n", "sgAADGxJREFU2Nrqvi+YTLCfO4emixcRwnFXX29tBafV9glPPiQEqpAQ8B5uqpAQ8Hq9a7QaFORV\n", "c6reSrEH5HDdNvCRdEAOIcQ7cTwP1ZURoyYpyeN2F44fx4xeHyp6RqruIDWb4Wxrg9jr5rh4sc9j\n", "9+vt7WAWiysoDYYBwTlcsPIhIdfN0b+KDEcmOsB1W6Gm3apDUuKn+IlAfZOG+iZN/771HqkOtVCD\n", "J8zhgNjRAbG1tW9w9gpQR1nZwGDtCVeb7WpY6vXgg4Ov3no/1uvBDfZ8z2tefkkvZYaj0wGVxQqN\n", "h0OACSHketVz8JDUizIwh8O1O7i11RWyPbf2dvd9Z1sbHFVVYIO81nOfU6sHhuggAdtznxvstaCg\n", "cQtZZYaj6IDKYoPWSOE4FKXOAY036ps01DdpvK1vnEbjPj9UKsYYmNXqDkvmKWSbm13XMe3ocG0z\n", "WMhqNO6RNB8c7ArMK/exbp3kGhUZjmACNFYKR0II8UYcx4Hz9wfv7w+M4oL0vUOWdXZC7Ox0BWdn\n", "J1hn56hqVGQ4MlGAn9UKnZHWVR2KN30a9SXUN2mob9JQ3zwbNmQlrM3dQ7HhqLOJ0IbSyJEQQsi1\n", "4+UuYDww0YEAh+uIKuJZ/2W9yMhQ36ShvklDfZOHYkeO/jaBwpEQQogkihw5QhSgdgjggoLkrsSr\n", "0VyGNNQ3aahv0lDf5KHMkSMTIKh018UqDoQQQsae4kaOjIkAALvGX+ZKvB/NZUhDfZOG+iYN9U0e\n", "ygtH0QFABYff+FwdmhBCiPIpLhwhCgB4OCkch0VzGdJQ36ShvklDfZOH4sKRiQIY4+H0o92qhBBC\n", "pFFcOIK5wlHUUTgOh+YypKG+SUN9k4b6Jg/FhaNr5MiBUTgSQgiRSIHh6ABEDsw/QO5SvB7NZUhD\n", "fZOG+iYN9U0eigtHMCeYyIELoHAkhBAijeLCkYkOMCfA0chxWDSXIQ31TRrqmzTUN3koMBwFMBHg\n", "ggLlLoUQQoiPUlw4QhQAJ6AKpHAcDs1lSEN9k4b6Jg31TR6KC0fGBDAngyqYwpEQQog0ygtHUQCc\n", "DGq6IsewaC5DGuqbNNQ3aahv8lBcOEIUAIFBow+WuxJCCCE+SnHh2DNy1AbTyHE4NJchDfVNGuqb\n", "NNQ3eSgvHJkAThChDdHLXQohhBAfpbhwhCiAczJoQ2jkOByay5CG+iYN9U0a6ps8FBeOjDnBOUXo\n", "gmnkSAghRBrFhSNEAZzA4KenFXKGQ3MZ0lDfpKG+SUN9k4fiwpExAbwo0gE5hBBCJFNcODocdvBO\n", "Bi0tHzcsmsuQhvomDfVNGuqbPBQXjoLVAogcOLVa7lIIIYT4KMWFo6O7G07GyV2GT6C5DGmob9JQ\n", "36ShvslDceEoWLrAmEruMgghhPgwxYWjw2KBU3k/1riguQxpqG/SUN+kob7JQ3EpItosYKCRIyGE\n", "EOkUF46CzQKRwnFEaC5DGuqbNNQ3aahv8lBcOIo2C0SOwpEQQoh0igtHp8NGu1VHiOYypKG+SUN9\n", "k4b6Jg/FhSNz2ME4OseREEKIdMoLR8EGkcJxRGguQxrqmzTUN2mob/JQXjg67GA8hSMhhBDplBeO\n", "TgdA4TgiNJchDfVNGuqbNNQ3eSguHOGkkSMhhJDRUVw4ukaOGrnL8Ak0lyEN9U0a6ps01Dd5KC4c\n", "4RQAlVbuKgghhPgwWcKxqKgIGzduxPr16/HWW28Nus2f//xnrF+/Hps2bUJFRcXI31x0ACoaOY4E\n", "zWVIQ32ThvomDfVNHhMejqIo4tVXX8UTTzyB559/Hp988gmqq6v7bFNQUID6+nps27YNP/7xj/HK\n", "K6+M+P05JgBqGjkSQgiRbsLDsby8HFFRUYiIiIBarcaSJUtw6tSpPtucOnUKy5YtAwCkpKSgq6sL\n", "ra2tI/sGogCOwnFEaC5DGuqbNNQ3aahv8pjwcDSbzQgLC3M/NhqNMJvNQ24TFhY2YBtPOOYE1H5j\n", "UywhhJDrktcekMMYk/hfCuBp5DgiNJchDfVNGuqbNNQ3eUz4CYFGoxHNzc3ux83NzTAajde8TX8F\n", "BQWuO9/6X6h6PyYeBQQEUJ8koL5JQ32ThvomjwkPx6lTp6Kurg4NDQ0wGo3Iz8/Hhg0b+myTlZWF\n", "f//731iyZAkuXLiAwMBAGAwGj++Zk5Mz3mUTQgi5jnBM+v5LyQoLC7F7926Ioojs7GzcddddOHjw\n", "IABgxYoVAIBXX30VRUVF0Ol0ePDBBzFlypSJLpMQQsh1SpZwJIQQQryZ1x6QQwghhMiFwpEQQgjp\n", "x6cvX1FUVNRn7vLOO++UuySv1NTUhB07dqCtrQ0cxyEnJwc333wzOjs78cILL6CpqQmTJk3Cww8/\n", "jMDAQLnL9TqiKGLz5s0wGo3YvHkz9W2Eurq68NJLL7lXwFq3bh2io6Opd8PYv38/jh07Bo7jkJCQ\n", "gHXr1sFms1Hf+tm5cycKCwuh1+vx3HPPAcCQ/zb379+Pw4cPg+d5/OAHP0BmZubQ34D5KKfTyR56\n", "6CFWX1/PHA4He+yxx1hVVZXcZXmllpYWVlFRwRhjzGKxsPXr17Oqqir22muvsbfeeosxxtj+/fvZ\n", "66+/LmOV3uvdd99lL774InvmmWcYY4z6NkLbt29nH374IWOMMUEQWFdXF/VuGPX19eynP/0ps9vt\n", "jDHGnn/+eXb48GHq2yBKSkrYpUuX2COPPOJ+zlOfqqqq2GOPPcYcDgerr69nDz30EHM6nUO+v8/u\n", "Vh3JMnTExWAwYPLkyQAAnU6H2NhYmM3mPsv03XjjjTh58qSMVXqn5uZmFBYWIjs7270wBfVteN3d\n", "3Th//jyys7MBACqVCgEBAdS7YQQEBEClUsFms8HpdMJms8FoNFLfBjF9+vQBo2dPfTp58iSWLFkC\n", "tVqNiIgIREVFoby8fMj399ndqoMtQzfcD0uAhoYGVFZWIiUlBW1tbe7zR0NCQtDW1iZzdd5nz549\n", "uP/++2GxWNzPUd+G19DQAL1ej507d+Krr75CUlIS8vLyqHfDCAoKwm233YZ169ZBq9UiMzMTs2bN\n", "or6NkKc+tbS0ICUlxb3dSJYk9dmRI7l2VqsVzz33HPLy8uDv79/nNY7jZKrKe50+fRp6vR5JSUke\n", "lzOkvg3O6XSioqICubm5ePbZZ6HT6QZcno56N1BdXR0OHDiAHTt24OWXX4bVasXHH3/cZxvq28gM\n", "16fhXvfZkaOUJeauZ4Ig4LnnnsPXv/51zJ8/H4Drk1VraysMBgNaWloQEhIic5XepbS0FKdPn0Zh\n", "YSEcDgcsFgu2b99OfRuBsLAwGI1GJCcnAwAWLlyI/fv3w2AwUO+GcOnSJaSmpiI4OBgAsGDBAly4\n", "cIH6NkKe/m1KyQufHTn2XoZOEATk5+cjKytL7rK8EmMML730EmJjY3HLLbe4n8/KysKRI0cAAEeP\n", "HsW8efNkqtA73Xfffdi1axd27NiBjRs3Ij09HT/72c+obyNgMBgQHh6OmpoaAEBxcTHi4+Mxd+5c\n", "6t0QYmJiUFZWBrvdDsYYiouLERcXR30bIU//NrOysvDJJ59AEAQ0NDSgrq7O/cHNE59eIWewZejI\n", "QOfPn8eTTz6JhIQE966E++67D8nJyXR4+AiVlJTg3XffxS9+8Qs6lWOEKisr8fLLL0MQBERGRmLd\n", "unUQRZF6N4y3334bR48eBcdxSEpKwk9+8hNYrVbqWz+///3v8eWXX6K9vR0GgwH33HMP5s2b57FP\n", "b775Jg4fPgyVSoW8vDzMnj17yPf36XAkhBBCxoPP7lYlhBBCxguFIyGEENIPhSMhhBDSD4UjIYQQ\n", "0g+FIyGEENIPhSMhhBDSD4UjIYQQ0g+FIyGEENKPz66tSgi56s0338SRI0dwxx13wGq1oqamBqtX\n", "r4ZWq5W7NEJ8Eo0cCVGA5ORkzJ8/Hzk5ObjlllvQ2tqK4uJiucsixGdROBKiAOXl5ZgxYwYAoLW1\n", "FZ2dnUhLS5O5KkJ8F+1WJUQBLl68iNjYWHzwwQdoamrCli1baJcqIaNAI0dCFKCzsxMLFixAbm4u\n", "SktLoVbT515CRoPCkRAf19jY2Ofit01NTRAEQcaKCPF9FI6E+LiysjJMnjwZAOBwONDS0gKtVou2\n", "tjZ5CyPEh1E4EuLDSkpKcOjQIdTU1KC9vR0ajQZz585Ffn4+hSMho0AXOyaEEEL6oZEjIYQQ0g+F\n", "IyGEENIPhSMhhBDSD4UjIYQQ0g+FIyGEENIPhSMhhBDSD4UjIYQQ0g+FIyGEENLP/wNOiregeY2l\n", "YwAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('pybonacci')\n", "\n", "fig, ax = plt.subplots(figsize=(7, 7))\n", "\n", "ax.plot((r_f_vector / r_i).value, (dv_a_vector / v_i).value, label=\"First impulse\")\n", "ax.plot((r_f_vector / r_i).value, (dv_b_vector / v_i).value, label=\"Second impulse\")\n", "ax.plot((r_f_vector / r_i).value, ((dv_a_vector + dv_b_vector) / v_i).value, label=\"Total cost\")\n", "\n", "ax.plot((r_f_vector / r_i).value, np.full(N, np.sqrt(2) - 1), 'k--')\n", "ax.plot((r_f_vector / r_i).value, (1 / np.sqrt(r_f_vector / r_i)).value, 'k--')\n", "\n", "ax.set_ylim(0, 0.7)\n", "ax.set_xlabel(\"$R$\")\n", "ax.set_ylabel(\"$\\Delta v_a / v_i$\")\n", "\n", "leg = ax.legend()\n", "leg.get_frame().set_facecolor('#fafafa')" ] }, { "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }