306 lines
278 KiB
Plaintext
306 lines
278 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 63,
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"id": "21e0ac82",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import pandas as pd"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 64,
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"id": "653d2200",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Read in data\n",
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"dataNp = np.loadtxt(open(\"N2onMachTest.csv\", \"r\"), delimiter=\",\", skiprows=1)\n",
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"dataNp = np.delete(dataNp, 1, 1)\n",
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"dataNp = np.delete(dataNp, 1, 1)\n",
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"dataNp = np.delete(dataNp, 1, 1)\n",
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"dataNp = np.delete(dataNp, 1, 1)\n",
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"dataNp = np.delete(dataNp, 1, 1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 65,
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"id": "ecfc5eed",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Constants\n",
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"max_thrust = 62000\n",
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"max_EPR = 1.6432\n",
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"idle_thrust = 2170\n",
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"idle_epr = 1.02282\n",
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"k = 0.3\n",
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"\n",
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"n1s = np.linspace(20,110,19)\n",
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"n1s = np.insert(n1s, 0, 0)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 66,
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"id": "ddbebf95",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Thrust function\n",
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"thrust = lambda epr, mach: (idle_thrust + (max_thrust - idle_thrust) * ((epr - idle_epr) / (max_EPR - idle_epr))) * (1 - k * mach)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 67,
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"id": "c65ab937",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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0SfMFBQVh/vz55Rr7zjvvYNKkSVAoFACAQ4cOITQ0FI6OjujWrRuuX79uGFtaWoqwsDAcOHDA6Dmeeuop2NjYYM2aNVX2HoiIyHywjEjg2rVrhq/58+fD2dnZaNlbb71Vqeet6Unf9uzZg7Nnz+LFF180LBs6dCieeOIJJCQkICcnB7NmzTI89sknn6B9+/aIiIi467kGDx6Mzz//vEZyExGZs0KtDkUllnUyP8uIBHx8fAxfLi4ukMlkRsscHR0NY+Pj4xEeHg57e3u0a9cOJ0+eNDw2bdo0hISE4KuvvkLdunVha2sLoOw9GyEhIYY9LkIITJs2DYGBgVCr1fD19cUbb7wBAHjsscdw8eJFjBs3zrCn5l7Wr1+PJ5980vC6AJCcnIxhw4ahUaNG6Nu3L5KTkwEA586dw/LlyzFz5swyn6tbt26Ii4vD2bNny78hiYiszMa4FITO+A1NJu9Am5m/4/lF/4fR6w7hwx0nsGb/Rfx1KgPnMvLMrqyY/Twj/yWEQKFEvwl2Nooqv+pj4sSJ+OSTT+Dp6Ynhw4fj5Zdfxv/93/8ZHj9z5gw2b96MLVu2GA6VPMjmzZvx6aefYv369WjevDlSU1Nx+PBhAMCWLVvQqlUrvPrqqxg2bNh9n2f37t3o16+f0bJWrVph586daNCgAWJjY9GyZUsAwPDhw/HRRx/BycmpzOcKDAyEt7c3du/ejfr165frfRARWZONcSl4d/MRCHHz54zcYmTkFuPQpewyx3s5qeHvZgd/N3vDrwG1bv7q62oLtbJ8nxk1weLKSGGJDs2m/CrJax+f3hn2qqrdpDNnzkTHjh0BAOPHj0fXrl1RVFRk2Buh1Wrx7bffwtPTs9zPeenSJfj4+CA6Oho2NjYIDAw0HDqpVasWFAoFnJyc4OPjc9/nuXjxInx9fY2WffXVVxgxYgQ+/vhjtG/fHhMmTMCqVatgb2+PNm3aoHPnzjh79iz69OmDDz74wGhdX19fXLx4sdzvg4jIWtxZRAZG1cHY6Ea4cqMQl28U4PKtX1Pu+LlAq0N6bjHSc4uRcI+y4u2svqOo2KFXeADquDvU7Bu7xeLKiKW5vWcBAGrXrg0ASE9PR2BgIACgTp06FSoiANCzZ0/Mnz8f9erVw1NPPYWnn34a3bp1g1JZsT8OhYWFRodoAKB58+b466+/DD9nZWVh6tSp+PvvvzF69Gi0a9cOW7ZsQZs2bRAZGYlu3boZxtrZ2aGgoKBCGYiILN1/i8j7zzaHTCZDLQcVWvi73DVeCIEbBSWGYpJy/d/CcvPXQhSW6JCmKUaaphjxF28AAJ5o4sUyUlXsbBQ4Pr2zZK9d1e6c+vz2IaA7L4F1cLj7D45cLoe4vR/vlpKSEsP3AQEBOHnyJH7//Xfs3LkTI0aMwNy5c/HXX39VaKp1Dw8P3Lhx475jYmJiMHbsWPj7+2PXrl344IMP4ODggK5du2LXrl1GZeT69esVLlZERJbsXkXkfm4XlVoOKrT0d73rcSEErudrbxaVO/asBElURAALLCMymazKD5WYG09PT1y7ds3ws0ajwfnz543G2NnZoVu3bujWrRtGjhyJJk2a4OjRo2jdujVUKlW55g0JDQ3F8ePH7/l4bGwskpOTsWLFCgA3p3K/XYruLEcAUFRUhLNnzyI0NLTc75OIyJJ9V4kiUh4ymQzujmq4O6rRKsD14YNWAV5NY4GeeOIJrFq1Crt378bRo0cxaNAgo5NbV65cieXLlyMpKQnnzp3D6tWrYWdnhzp16gC4eTXO33//jStXriAzM/Oer9O5c2fs2bOnzMeKioowatQoLF261HAn5fbt22PhwoU4fPgwNm/ejPbt2xvG79u3D2q1GlFRUVWxCYiIzNp3cSl4pxqKiKliGbFAEyZMQMeOHfHMM8+ga9eu6N69u9EVKq6urli2bBnat2+Pli1b4vfff8ePP/4Id3d3AMD06dNx4cIF1K9f/76HTfr3749jx44ZXW582/vvv4+uXbsiJCTEsOzzzz9HYmIiHn30UXTr1s1ofpJ169ahf//+vPMyEVk9aysiACAT/z25wARpNBq4uLggJycHzs7ORo8VFRXh/PnzRvNsUM15++23odFo8OWXX1b6OTIzM9G4cWPExcWhbt26ZY7h7zMRWYM7i8iAtnUw/TnzLiL3+/y+E/eM0EOZOHEi6tSp81D3lblw4QIWLVp0zyJCRGQNLK2IVIR1n+lJD83V1RXvvffeQz1HeHg4wsPDqygREZH52RR/2WqLCMA9I0RERJLaFH8Zb286bLVFBGAZISIikgyLyE0WU0bM4Dxcegj8/SUiS3NnEXmpbaDVFhHAAsrI7fkztFqtxEmoOt3+/S3vzQCJiEzZf4vIjOeCrbaIABZwAqtSqYS9vT0yMjJgY2NjmGCLLIder0dGRgbs7e0rfP8cIiJTwyJyN7P/l10mk6F27do4f/487/hqweRyOQIDA63+LywRmbfNLCJlMvsyAgAqlQoNGzbkoRoLplKpuNeLiMza5vjLeItFpEwWUUaAm/9z5sycRERkiv5bRKY/yyJyJ/5Xk4iIqBqVVUTkchaRO7GMEBERVZOth1hEyoNlhIiIqBrsO5eFt787wiJSDiwjREREVSzlegFeXx2PUr3AMy1rs4g8AMsIERFRFcorLsXQb+Jwo6AELf1d8HHPViwiD8AyQkREVEV0eoGx6w/hZFouvJzUWDogHLY2nDn6QVhGiIiIqsjHv53E78npUCnlWDowHD4unHKiPFhGiIiIqsC2Q1eweNdZAMBHL7ZESICrtIHMCMsIERHRQzp06Qbe2XwEAPD6Y/XRPdRP4kTmhWWEiIjoIVzLKcSrq+KhLdUjuqkX3v5fY6kjmR2WESIiokoq1Orw6rfxyMgtRmNvJ8zvE8orZyqBZYSIiKgShBB4e9NhHL2SAzd7G3w1KByOaou55VuNYhkhIiKqhC/+OIPtR65BKZdh8UthCKhlL3Uks8UyQkREVEE7klLxyc5TAIAZ3YPRtp67xInMG8sIERFRBRy/qsG4DYkAgMHtgtA3IlDaQBaAZYSIiKicMvOKMezbOBSW6PBIAw9M6tpU6kgWgWWEiIioHIpLdRi+Kh5XsgtR18MBC/u1hlLBj9GqwK1IRET0AEIITNqahLiLN+Bkq8SygeFwsbeROpbFYBkhIiJ6gOV7zuO7+MuQy4AFfUPRwMtR6kgWhWWEiIjoPnadTMesn5MBAO893RSPNfaSOJHlYRkhIiK6hzPpeRi99hD0AugV7o9XHqkrdSSLxDJCRERUhuwCLYZ+cxC5xaUIr+OGGd2DIZNxqvfqwDJCRET0H6U6PUatPYQLWQXwc7XDkgFhUCsVUseyWCwjRERE//HBT8nYcyYT9ioFlg0Mh4ejWupIFq1SZWThwoUICgqCra0tIiMjceDAgfuOnz9/Pho3bgw7OzsEBARg3LhxKCoqqlRgIiKi6rR2/yWs/OcCAGBerxA083WWNpAVqHAZ2bBhA2JiYjB16lQkJCSgVatW6Ny5M9LT08scv3btWowfPx5Tp05FcnIyli9fjg0bNuC999576PBERERVad+5LEz5PgkA8OaTjfBUsI/EiaxDhcvIvHnzMGzYMAwZMgTNmjXDkiVLYG9vj6+//rrM8f/88w/at2+Pfv36ISgoCP/73//Qt2/fB+5NISIiqkkp1wvw+up4lOoFurXyxagnGkgdyWpUqIxotVrEx8cjOjr63yeQyxEdHY29e/eWuU67du0QHx9vKB/nzp3Dzz//jKeffvohYhMREVWdohIdXl8TjxsFJWjh54KPXmzJK2dqkLIigzMzM6HT6eDt7W203NvbGydOnChznX79+iEzMxOPPPIIhBAoLS3F8OHD73uYpri4GMXFxYafNRpNRWISERFVyNTvjyHpigZu9jZYMiAMdipeOVOTqv1qml27dmHWrFlYtGgREhISsGXLFvz000+YMWPGPdeZPXs2XFxcDF8BAQHVHZOIiKzUhoOXsCEuBTIZ8HnfUPi52kkdyepUaM+Ih4cHFAoF0tLSjJanpaXBx6fsk3wmT56MAQMGYOjQoQCAFi1aID8/H6+++iomTpwIufzuPjRhwgTExMQYftZoNCwkRERU5Y5ezsHk748BAGKiG6FDQ0+JE1mnCu0ZUalUCAsLQ2xsrGGZXq9HbGwsoqKiylynoKDgrsKhUNzc/SWEKHMdtVoNZ2dnoy8iIqKqlF2gxetr4qEt1aNTEy+MfJwnrEqlQntGACAmJgaDBg1CeHg4IiIiMH/+fOTn52PIkCEAgIEDB8LPzw+zZ88GAHTr1g3z5s1DaGgoIiMjcebMGUyePBndunUzlBIiIqKapNcLjNuQiMs3ChFYyx7zeoVALucJq1KpcBnp3bs3MjIyMGXKFKSmpiIkJAQ7duwwnNR66dIloz0hkyZNgkwmw6RJk3DlyhV4enqiW7dumDlzZtW9CyIiogpY8McZ/HkyA2qlHItfag0XexupI1k1mbjXsRITotFo4OLigpycHB6yISKih7LrZDqGrDwIIYC5PVqiZzjPSawu5f385r1piIjIaqRcL8DYDYkQAugbEcAiYiJYRoiIyCoUlegwYk0Csm9NbDa1W3OpI9EtLCNERGQV3v/xOI5eyYGrvQ0Wv9Qatja8iMJUsIwQEZHF+y4uBesOXIJMBnzWJxT+bvZSR6I7sIwQEZFFO3Y1B5O23bwT79hOjdCxESc2MzUsI0REZLFyCkowfHU8ikv1eKyxJ0bzTrwmiWWEiIgskl4vMG5jIlKuF8LfzQ7ze3NiM1PFMkJERBZp0a4z+ONEOlRKOZa8FAZXe5XUkegeWEaIiMji7D6dgU92ngIAzHiuOYL9XCRORPfDMkJERBblSnYh3lh3CEIAvcMD0LtNoNSR6AFYRoiIyGIUl+owYnU8bhSUINjPGe8/x4nNzAHLCBERWYzpPx7H4cs5cLGzweL+YZzYzEywjBARkUXYHH8Za/bfnNhsfu8QBNTixGbmgmWEiIjMXvI1DSZuOwoAGP1EQzzexEviRFQRLCNERGTWcgpvTmxWVKLHo408MaZTQ6kjUQWxjBARkdnS6wXe3HgYF7MK4Odqh896h0DBic3MDssIERGZrcV/ncXvyWlQKeRY/FJruDlwYjNzxDJCRERm6f/OZOKT304CAKY92xwt/V2lDUSVxjJCRERmJzWnCG+sOwS9AHqE+aNvRIDUkeghsIwQEZFZKdHpMXJtArLytWha2xkfdA+GTMbzRMwZywgREZmVD385gfiLN+CkVmJx/9ac2MwCsIwQEZHZ2JF0DV/tOQ8AmNuzFYI8HCRORFWBZYSIiMzC+cx8vP3dEQDAsA518VSwj8SJqKqwjBARkckrKtHh9dXxyC0uRXgdN7zzVBOpI1EVYhkhIiKTN+X7JJxIzYW7gwpf9GsNGwU/viwJfzeJiMikbTyYgo1xlyGTAZ/3DYWPi63UkaiKsYwQEZHJOn5Vg8nfJwEAYqIboX0DD4kTUXVgGSEiIpOkKSrBiDXxKC7V47HGnhj5eAOpI1E1YRkhIiKTI4TAO98dwYWsAvi62OLTXiGQ8wZ4FotlhIiITM7yPeex41gqbBQyLOzPG+BZOpYRIiIyKXEXrmPOLycAAJO6NkNooJvEiai6sYwQEZHJyMwrxqi1h1CqF3imZW0MjKojdSSqASwjRERkEnR6gbHrE5GqKUI9TwfMebElb4BnJVhGiIjIJHwWexp7zmTCzkaBJS+FwVGtlDoS1RCWESIiktyuk+lY8MdpAMDM54PRyNtJ4kRUk1hGiIhIUleyCzFuQyKEAPpFBuKF1v5SR6IaxjJCRESS0ZbqMXJNAm4UlCDYzxlTnmkmdSSSAMsIERFJZtbPyUhMyYazrRKL+4fB1kYhdSSSAMsIERFJYvuRq1j5zwUAwLxeIQioZS9tIJIMywgREdW4sxl5eHfTEQDA64/VR3Qzb4kTkZRYRoiIqEYVaEvx+up45Gt1iKxbC28+2UjqSCQxlhEiIqoxQghM2pqEU2l58HRSY0G/UCgV/CiydvwTQERENWb9wRRsOXQFchmwoG8ovJxspY5EJoBlhIiIakTSlRxM/eEYAODtzk3Qtp67xInIVLCMEBFRtcspLMHra+KhLdUjuqkXXnu0ntSRyISwjBARUbXS6wXe3JiIlOuF8Hezwyc9QyCX8wZ49C+WESIiqlZL/j6L35PToVLKsbh/GFzsbaSORCaGZYSIiKrNP2cy8fGvJwEA059tjhb+LhInIlPEMkJERNUiNacIo9cdgl4APcP80btNgNSRyESxjBARUZXTluoxYk08svK1aFrbGTO6B0Mm43kiVDaWESIiqnKzf0lGwqVsONkqseSl1rwBHt0XywgREVWpHw9fxYr/uwDg5g3w6rg7SBuITB7LCBERVZkz6bl4d/PNG+CNeKw+nuQN8KgcWEaIiKhK5BWX4rVV8SjQ6tCuvjtieAM8KieWESIiemhCCIzffARnM/Lh7azG5315AzwqP/5JISKih7bynwvYfuQalHIZFvVvDQ9HtdSRyIywjBAR0UOJv3gdM39KBgBM7NoUYXVqSZyIzA3LCBERVVpmXjFGrElAqV7gmZa1MbhdkNSRyAyxjBARUaWU6vQYvfYQ0jTFaODliA9fbMmJzahSWEaIiKhS5u08hb3nsmCvUmDJS63hoFZKHYnMFMsIERFV2M7jaVi06ywA4MMXW6KBl5PEicicsYwQEVGFXMzKR8zGRADAkPZB6NbKV9pAZPYqVUYWLlyIoKAg2NraIjIyEgcOHLjv+OzsbIwcORK1a9eGWq1Go0aN8PPPP1cqMBERSaeoRIfhqxOQW1SKsDpumNClqdSRyAJU+ADfhg0bEBMTgyVLliAyMhLz589H586dcfLkSXh5ed01XqvV4sknn4SXlxc2bdoEPz8/XLx4Ea6urlWRn4iIaogQApO2JSH5mgbuDios7NcaKiV3sNPDkwkhREVWiIyMRJs2bfDFF18AAPR6PQICAjB69GiMHz/+rvFLlizB3LlzceLECdjY2FQqpEajgYuLC3JycuDs7Fyp5yAiooez/sAljN9yFHIZsPqVSLRr4CF1JDJx5f38rlCl1Wq1iI+PR3R09L9PIJcjOjoae/fuLXOdH374AVFRURg5ciS8vb0RHByMWbNmQafT3fN1iouLodFojL6IiEg6Ry/nYMoPxwAAb3VuzCJCVapCZSQzMxM6nQ7e3sZ3YfT29kZqamqZ65w7dw6bNm2CTqfDzz//jMmTJ+OTTz7BBx98cM/XmT17NlxcXAxfAQEBFYlJRERVKLtAi9fXxENbqseTzbzxesf6UkciC1PtB/v0ej28vLywdOlShIWFoXfv3pg4cSKWLFlyz3UmTJiAnJwcw1dKSkp1xyQiojLo9QLjNiTi8o1C1HG3x8c9W3FiM6pyFTqB1cPDAwqFAmlpaUbL09LS4OPjU+Y6tWvXho2NDRQKhWFZ06ZNkZqaCq1WC5VKddc6arUaajVvskREJLWFf57BnyczoFbKsbh/GFzsKnfuH9H9VGjPiEqlQlhYGGJjYw3L9Ho9YmNjERUVVeY67du3x5kzZ6DX6w3LTp06hdq1a5dZRIiIyDTsPp2Beb+fAgDMfL4FmvnyAgKqHhU+TBMTE4Nly5bhm2++QXJyMl5//XXk5+djyJAhAICBAwdiwoQJhvGvv/46rl+/jjFjxuDUqVP46aefMGvWLIwcObLq3gUREVWpK9mFeGPdIQgB9I0IRI8wf6kjkQWr8DwjvXv3RkZGBqZMmYLU1FSEhIRgx44dhpNaL126BLn8344TEBCAX3/9FePGjUPLli3h5+eHMWPG4N133626d0FERFWmuFSHEWsScKOgBC38XDC1WzOpI5GFq/A8I1LgPCNERDVn/OYjWH8wBa72Nvhx1CMIqGUvdSQyU9UyzwgREVm2tfsvYf3BFMhlwOd9QllEqEawjBAREQAg/uINTP0hCcDNic0ebeQpcSKyFiwjRESE9NwijFgTjxKdwNMtfDixGdUolhEiIiunLdVj5JoEpGmK0dDLER/14MRmVLNYRoiIrNzMn47j4IUbcFIr8eWAMDiqK3yhJdFDYRkhIrJim+Mv45u9FwEA8/uEoJ6no8SJyBqxjBARWamjl3Pw3tajAIAxnRqiU1PvB6xBVD1YRoiIrFBWXjGGr45HcakenZp4YUynhlJHIivGMkJEZGVKdXqMXncIV7ILUdfDAfN6h0Au5wmrJB2WESIiK/PRryfxz9ks2KsU+HIA78RL0mMZISKyIj8evoqlf58DAHzcsxUaeTtJnIiIZYSIyGqcSNXgnU1HAADDO9bH0y1qS5yI6CaWESIiK5BTUILXVsWjsESHDg098HbnxlJHIjJgGSEisnA6vcCYDYdwMasA/m52+LxPKBQ8YZVMCMsIEZGFm//7Kew6mQG1Uo4lL4XBzUEldSQiIywjREQW7NdjqVjwxxkAwJwXWyDYz0XiRER3YxkhIrJQZ9Lz8ObGwwCAIe2D8Hyov8SJiMrGMkJEZIFyi0rw2qo45BWXIrJuLbz3dFOpIxHdE8sIEZGF0esF3tx4GGcz8uHjbIsv+rWGjYL/3JPp4p9OIiILs2jXGfx2PA0qhRxLBoTB00ktdSSi+2IZISKyIH+eTMcnO08BAKY/1xwhAa7SBiIqB5YRIiILcTErH2PWHYIQQN+IQPSJCJQ6ElG5sIwQEVmAAm0pXlsVD01RKUIDXTHt2WZSRyIqN5YRIiIzJ4TAu5uP4kRqLjwc1VjcPwxqpULqWETlxjJCRGTmlv59Dj8evgqlXIbFL7WGj4ut1JGIKoRlhIjIjP1xIg1zdpwAAEzp1gxtgmpJnIio4lhGiIjM1Om0XLyxLtFwwuqAtnWkjkRUKSwjRERmKLtAi6Hf3pxhNaJuLbz/bHPIZLwTL5knlhEiIjNTotNj5NoEXMwqgL+bHRb3bw2Vkv+ck/nin14iIjMz86dk/N+ZLNirFFg2MBzujpxhlcwbywgRkRlZd+ASVv5zAQDwae8QNK3tLG0goirAMkJEZCb2n8vC5G1JAIA3n2yEzs19JE5EVDVYRoiIzEDK9QK8viYBpXqBZ1rWxqgnGkgdiajKsIwQEZm4/OJSDPs2DtfztQj2c8bcHq145QxZFJYRIiITptcLxGxMNEz1vnRAOOxUnOqdLAvLCBGRCZv/+yn8eiwNKoUcXw4Ig6+rndSRiKocywgRkYnafuQqPv/jDABg1gstEFbHTeJERNWDZYSIyAQlXcnBW98dBgAM61AXPcL8JU5EVH1YRoiITEx6bhGGfRuHohI9OjbyxPguTaWORFStWEaIiExIcakOw1fF41pOEep5OuDzvqFQyHnlDFk2lhEiIhMhhMDErUlIuJQNZ1slvhoYDhc7G6ljEVU7lhEiIhOxfM95bIq/DLkM+KJfa9TzdJQ6ElGNYBkhIjIBf53KwKyfkwEAk7o2w6ONPCVORFRzWEaIiCR2NiMPo9YmQC+A3uEBGNI+SOpIRDWKZYSISEI5BSUY9k0ccotKEV7HDdO7N+dU72R1WEaIiCRSqtNj1LoEnMvMh6+LLZYMCINayaneyfqwjBARSWT2Lyew+3Qm7GwUWDYoHB6OaqkjEUmCZYSISAIbD6Zg+Z7zAIB5vVqhua+LxImIpMMyQkRUw+IuXMfEbUcBAGOjG6JLi9oSJyKSFssIEVENupRVgNdWxaNEJ9Al2AdvPNFQ6khEkmMZISKqITkFJRiy8gCy8rVo7uuMT3q1gpxTvROxjBAR1QRtqR6vrY7D2YybV858PbgN7FVKqWMRmQSWESKiaiaEwPgtR7Dv3HU4qpVYPrgNvJ1tpY5FZDJYRoiIqtmCP85gS8IVKOQyLOzfGk1rO0sdiciksIwQEVWjbYeuYN7OUwCAGc8FoyPvOUN0F5YRIqJqsv9cFt7ZdAQA8Nqj9dAvMlDiRESmiWWEiKganMvIw2ur46HV6dEl2AfvPtVE6khEJotlhIioil3P12LIyoPILihBSIArPu0dwkt4ie6DZYSIqAoVlegw7Ns4XMwqgL+bHb4aFA5bG978juh+WEaIiKqIXi/w1neHEX/xBpxtlVg5pA1vfkdUDiwjRERV5JOdJ7H9yDUo5TIsGRCGBl5OUkciMguVKiMLFy5EUFAQbG1tERkZiQMHDpRrvfXr10Mmk6F79+6VeVkiIpO18WAKFv55FgAw58WWaFffQ+JEROajwmVkw4YNiImJwdSpU5GQkIBWrVqhc+fOSE9Pv+96Fy5cwFtvvYUOHTpUOiwRkSnaczoT7229eRfeN55ogB5h/hInIjIvFS4j8+bNw7BhwzBkyBA0a9YMS5Ysgb29Pb7++ut7rqPT6dC/f3+8//77qFev3kMFJiIyJafScvH66niU6gWeC/HFuCcbSR2JyOxUqIxotVrEx8cjOjr63yeQyxEdHY29e/fec73p06fDy8sLr7zySrlep7i4GBqNxuiLiMjUpOcWYciKg8gtLkWbIDd81KMlZDJewktUURUqI5mZmdDpdPD29jZa7u3tjdTU1DLX2bNnD5YvX45ly5aV+3Vmz54NFxcXw1dAQEBFYhIRVbtCrQ7DvonDlexC1PVwwNIB4VAreQkvUWVU69U0ubm5GDBgAJYtWwYPj/KfzDVhwgTk5OQYvlJSUqoxJRFRxej0AmM3HMLhyzlws7fBisFt4OagkjoWkdlSVmSwh4cHFAoF0tLSjJanpaXBx8fnrvFnz57FhQsX0K1bN8MyvV5/84WVSpw8eRL169e/az21Wg21mtfmE5Fpmv1zMn49lgaVQo6lA8MR5OEgdSQis1ahPSMqlQphYWGIjY01LNPr9YiNjUVUVNRd45s0aYKjR48iMTHR8PXss8/i8ccfR2JiIg+/EJHZWbX3Ar7acx4AMLdnS7QJqiVxIiLzV6E9IwAQExODQYMGITw8HBEREZg/fz7y8/MxZMgQAMDAgQPh5+eH2bNnw9bWFsHBwUbru7q6AsBdy4mITN2fJ9Ix9YdjAIC3/tcIz4X4SZyIyDJUuIz07t0bGRkZmDJlClJTUxESEoIdO3YYTmq9dOkS5HJO7EpEluXY1RyMWpsAvQB6hftj5OMNpI5EZDFkQgghdYgH0Wg0cHFxQU5ODpydnaWOQ0RW5lpOIZ5f+A9SNUVo38AdK4dEwEbB/3QRPUh5P7/5t4mI6D7yikvxyso4pGqK0NDLEYv6h7GIEFUx/o0iIrqH4lIdXlsVh+PXNPBwVOHrwW3gYmcjdSwii8MyQkRUBp1eIGbjYfzfmSw4qBT4enAbBNSylzoWkUViGSEi+g8hBN7/8Rh+OnINNgoZvhwQjpb+rlLHIrJYLCNERP+x4I8z+HbvRchkwLxeIXikYflnkCaiimMZISK6w5r9FzFv5ykAwLRuzdGtla/EiYgsH8sIEdEtO5KuYfK2JADA6CcaYFC7IGkDEVkJlhEiIgB7z2bhjXWJ0Augb0QgYp5sJHUkIqvBMkJEVu/Y1Ry8+m0ctDo9Ojf3xgfdgyGTyaSORWQ1WEaIyKpdzMrHoK8PIre4FJF1a+GzPqFQyFlEiGoSywgRWa2M3GIM/PoAMvOK0bS2M5YNCoetjULqWERWh2WEiKxSblEJBq84gItZBQioZYdvhrSBsy1nVyWSAssIEVmdohIdXv02Hseu3pzmfdXLkfBytpU6FpHVYhkhIqui0wuM25CIveey4KhWYuWQCAR5OEgdi8iqsYwQkdUQQmDK90n4JSkVKoUcSweGIdjPRepYRFaPZYSIrMb8309jzf5LkMmA+X1C0K4+p3knMgUsI0RkFVbtvYDPYk8DAGY8F4ynW9SWOBER3cYyQkQWb/uRq5jywzEAwNjohnipbR2JExHRnVhGiMii/d+ZTIzbkAghgAFt62BMp4ZSRyKi/2AZISKLdfTyzWneS3QCT7fwwbRnm3OadyITxDJCRBbpfGY+Bq84gHytDu3qu+PT3iGc5p3IRLGMEJHFSdcUYcDy/cjK1yLYzxlfDgiDWslp3olMFcsIEVmUnMISDPz6AC7fKESQuz1WDI6AE6d5JzJpLCNEZDEKtKUY+s1BnEjNhaeTGqteiYSnk1rqWET0ACwjRGQRikp0GPpNHA5euAEnWyW+GRKBgFr2UscionJgGSEis1dUosOrq+Lxz9mb95v59uUINPN1ljoWEZUTywgRmTVtqR4j1yTg71MZsFcpsGJIG4QGukkdi4gqgGWEiMxWiU6PN9YdQuyJdKiVcnw1KBxtgmpJHYuIKohlhIjMkk4vELPxMHYcu30H3nDe+I7ITLGMEJHZ0esF3tl0BD8evgobhQyLX2qNjo08pY5FRJXEMkJEZkWvF5i47Sg2J1yGQi7Dgr6t0ampt9SxiOghsIwQkdkQQmDaj8ew7kAK5DJgfu8QPBXsI3UsInpILCNEZBaEEJj5UzK+3XsRMhnwcc9W6NbKV+pYRFQFWEaIyOQJITD315P4as95AMDs51vghdb+EqcioqrCMkJEJu+z2NNYtOssAGD6c83RJyJQ4kREVJVYRojIpC3adQbzfz8NAJjUtSkGRgVJG4iIqhzLCBGZrK92n8NHO04CAN55qjGGdqgncSIiqg4sI0RkklbtvYAPfkoGAIyNbogRjzWQOBERVReWESIyOesPXMLk748BAF5/rD7GdGoocSIiqk4sI0RkUjbHX8aErUcBAK88UhfvdG4MmUwmcSoiqk4sI0RkMn48fBVvbzoMIYCBUXUwqWtTFhEiK8AyQkQmYUfSNYzdkAi9APq0CcC0bs1ZRIisBMsIEUkuNjkNo9cdgk4v8EKoH2Y93wJyOYsIkbVgGSEiSf11KgOvr05AiU7gmZa18VGPliwiRFaGZYSIJPP3qQy8+m0ctDo9Ojf3xqe9Q6BU8J8lImujlDoAEVmn346lYtTaQ9Dq9OjUxAsL+raGDYsIkVViGSGiGvd94hXEbDwMnV6gS7APPusTCpWSRYTIWrGMEFGN2nDwEsZvOQohgBdC/fBRj5Y8NENk5VhGiKjGrPi/83j/x+MAgP6RgZjxXDBPViUilhEiqhkL/zyDub/evOndsA518d7TnNCMiG5iGSGiaiWEwMe/ncTCP88CAMZ0aoix0Q1ZRIjIgGWEiKqNEALv/3gcK/+5AACY0KUJXutYX9pQRGRyWEaIqFro9AITtx7F+oMpAIAZzzXHgKggaUMRkUliGSGiKlei0+Ot7w7j+8SrkMuAj3q0Qo8wf6ljEZGJYhkhoipVXKrDqLWHsPN4GpRyGT7rE4quLWtLHYuITBjLCBFVmUKtDq+uisPu05lQKeVY3L81OjX1ljoWEZk4lhEiqhK5RSV4ZWUcDly4DnuVAssGhqN9Aw+pYxGRGWAZIaKHll2gxaAVB3E4JRtOaiVWvtwGYXVqSR2LiMwEywgRPZTMvGK89NV+nEjNhZu9DVa9EolgPxepYxGRGWEZIaJKu5ZTiP5f7ce5jHx4OqmxZmgkGnk7SR2LiMwMywgRVcqlrAL0+2ofLt8ohJ+rHdYMjUSQh4PUsYjIDFXqVpkLFy5EUFAQbG1tERkZiQMHDtxz7LJly9ChQwe4ubnBzc0N0dHR9x1PRKbvTHoeen25F5dvFCLI3R4bXmvLIkJElVbhMrJhwwbExMRg6tSpSEhIQKtWrdC5c2ekp6eXOX7Xrl3o27cv/vzzT+zduxcBAQH43//+hytXrjx0eCKqecnXNOj95V6kaorQ0MsRG1+Lgr+bvdSxiMiMyYQQoiIrREZGok2bNvjiiy8AAHq9HgEBARg9ejTGjx//wPV1Oh3c3NzwxRdfYODAgeV6TY1GAxcXF+Tk5MDZ2bkicYmoCiWmZGPQ1weQU1iCYD9nfPtyJGo5qKSORUQmqryf3xXaM6LVahEfH4/o6Oh/n0AuR3R0NPbu3Vuu5ygoKEBJSQlq1eJlf0TmJDY5DX2X7kNOYQnC6rhh7bC2LCJEVCUqdAJrZmYmdDodvL2NZ1T09vbGiRMnyvUc7777Lnx9fY0KzX8VFxejuLjY8LNGo6lITCKqYmv2X8TkbUnQC+DRRp5Y3L81HNQ8/52IqkalTmCtrDlz5mD9+vXYunUrbG1t7zlu9uzZcHFxMXwFBATUYEoiuk0IgY92nMDErTeLSK9wfywfFM4iQkRVqkJlxMPDAwqFAmlpaUbL09LS4OPjc991P/74Y8yZMwe//fYbWrZsed+xEyZMQE5OjuErJSWlIjGJqApoS/UYtyERi3adBQCMjW6ID19sCRtFjf4fhoisQIX+VVGpVAgLC0NsbKxhmV6vR2xsLKKiou653kcffYQZM2Zgx44dCA8Pf+DrqNVqODs7G30RUc3JKSzBoK8PYFviVSjlMszt0RJjoxtBJpNJHY2ILFCF97XGxMRg0KBBCA8PR0REBObPn4/8/HwMGTIEADBw4ED4+flh9uzZAIAPP/wQU6ZMwdq1axEUFITU1FQAgKOjIxwdHavwrRBRVbiaXYjBKw7gVFoeHNVKLOrfGo828pQ6FhFZsAqXkd69eyMjIwNTpkxBamoqQkJCsGPHDsNJrZcuXYJc/u8Ol8WLF0Or1aJHjx5GzzN16lRMmzbt4dITUZU6flWDISsPIE1TDC8nNVYMaYPmvrzPDBFVrwrPMyIFzjNCVP12n87A66sTkFdcikbejlgxJAJ+rnZSxyIiM1bez2+eEk9E+C4uBRO2HEWpXqBtvVr4ckA4XOxspI5FRFaCZYTIigkh8HnsGXz6+ykAwHMhvvioR0uolQqJkxGRNWEZIbJSJTo9Jm1Nwoa4m5fOj3isPt76X2PI5bxihohqFssIkRXKKy7FyDUJ+OtUBuQyYPpzwXipbR2pYxGRlWIZIbIy6ZoiDFl5EMeuamBno8CCvqGIbub94BWJiKoJywiRFTmdlovBKw7iSnYh3B1U+HpwG7QKcJU6FhFZOZYRIiux71wWXv02DpqiUtT1cMDKIW1Qx91B6lhERCwjRNbgh8NX8dbGw9Dq9Air44ZlA8NRy0EldSwiIgAsI0QWTQiBL/8+hzm/nAAAdAn2wae9Q2Brw0t3ich0sIwQWahSnR7Ttx/Ht3svAgBebl8XE7s2hYKX7hKRiWEZIbJA2QVajF53CLtPZ0ImAyY+3RRDO9STOhYRUZlYRogszMnUXAz7Ng6XrhfAzkaBeb1aoUuL2lLHIiK6J5YRIguyI+kaYjYeRoFWB383OywbGI6mtXlzSSIybSwjRBZArxeY//spfP7HGQBAu/ruWNivNdx4xQwRmQGWESIzl1tUgnEbDuP35DQAN09Ufe/pJlAq5BInIyIqH5YRIjN2LiMPr66Kx5n0PKiUcsx+vgVeDPOXOhYRUYWwjBCZqT9PpuONdYeQW1QKH2dbLBkQhhBO7U5EZohlhMjMCCGw+K+zmPvrSQgBhNVxw+KXWsPLyVbqaERElcIyQmRGCrU6vL3pMLYfuQYA6BsRgGnPNodayRlVich8sYwQmYmU6wV4bVU8jl/TQCmXYeqzzfFSZCBkMs6oSkTmjWWEyAzsPZuFkWsTcD1fC3cHFRb1b43Ieu5SxyIiqhIsI0QmTAiBb/65gBk/JUOnFwj2c8aXA8Lh52ondTQioirDMkJkoopLdZi8LQkb4y4DAJ4L8cWcF1rCTsXzQ4jIsrCMEJmgNE0RXlsVj8SUbMhlwIQuTTG0Q12eH0JEFollhMjEJFy6geGr4pGeWwxnWyW+6NcajzbylDoWEVG1YRkhMiEbD6Zg0rYkaHV6NPJ2xNIB4QjycJA6FhFRtWIZITIBRSU6fPDTcazedwkA0Lm5Nz7pFQJHNf+KEpHl4790RBI7n5mPkWsScPyaBgAwLroRRj/RAHI5zw8hIuvAMkIkoe8Tr+C9LUeRr9WhloMKn/Rqhccbe0kdi4ioRrGMEEmgUKvD+z8ew/qDKQCAiLq18HmfUPi48P4yRGR9WEaIatiZ9FyMXHMIJ9NyIZMBox9vgDc6NYRSIZc6GhGRJFhGiGrQpvjLmLwtCYUlOng4qjG/dwgeaeghdSwiIkmxjBDVgPziUkz+PglbEq4AANo3cMenvUPg5cTDMkRELCNE1exEqgYj1yTgbEY+5LKbV8uMeLwBFLxahogIAMsIUbURQmD9wRRM++EYikv18HZW47M+oWjLu+0SERlhGSGqBrlFJXhvaxJ+PHwVAPBYY0980rMV3B3VEicjIjI9LCNEVSzpSg5GrU3AhawCKOQyvNO5MYZ1qMdJzIiI7oFlhKiKCCGwat9FfLA9GVqdHn6udvi8byjC6rhJHY2IyKSxjBBVgZzCEozffAS/JKUCAKKbeuPjni3haq+SOBkRkeljGSF6SIkp2Ri1NgGXbxTCRiHDhC5NMaR9EGQyHpYhIioPlhGiShJCYPme8/hwxwmU6AQCatnhi76t0SrAVepoRERmhWWEqBLSNEWYuPUofk9OBwA83cIHc15sCWdbG4mTERGZH5YRogoo1emx8p8LmP/7aeQVl0KllGPyM83wUmQgD8sQEVUSywhROR28cB2TtyXhRGouACAkwBWznm+BZr7OEicjIjJvLCNED5CZV4zZP5/A5oTLAAA3exu8+1QT9AoP4NwhRERVgGWE6B50eoG1+y9i7q8noSkqhUwG9GkTgHc6N4GbAy/ZJSKqKiwjRGVITMnG5G1JOHolBwAQ7OeMGc8FIzSQE5gREVU1lhGiO9zI1+KjX09i/cFLEAJwslXinc6N0S+yDu+yS0RUTVhGiADo9QIb41Lw4Y4TuFFQAgB4sbU/JjzdBB68uR0RUbViGSGrl3QlB5O/T8KhS9kAgCY+Tpj+XDAi6taSNhgRkZVgGSGrlVNYgnm/ncSqfRehF4CDSoFxTzbCoHZBsFHIpY5HRGQ1WEbI6gghsPXQFcz6+QQy84oBAN1a+WJS16bwdraVOB0RkfVhGSGrcjI1F5O/T8KB89cBAPU9HTD9uWC0b+AhcTIiIuvFMkIWS68XyNOWIreoFLlFJdgcfxlf/98F6PQCdjYKjO7UAEMfqQeVkodkiIikxDJCJqlEp0dOYQnyiv4tE7nFd3xfVIq84pvfa4pKb427c/nNX8vSubk3pnRrDj9Xuxp+V0REVBaWEZKMXi9wTVOE8xn5OJ+Zh7MZ+TifmY9zmXm4cqMQelE1r6NSyuGkVsLfzQ5jn2yExxt7Vc0TExFRlWAZoWqXU1CCc5l5OHerbJzPzMfZjDxcyMpHUYn+vus6qBRwsrWBk60STrZKON763tlWCUe18o7HbOCovrn89jLHW+uolYoaeqdERFQZLCNUJYpLdbiUVfDv3o2MPEPxyMrX3nM9pVyGQHd71PNwQD1PR9T1cEBdDwfU83CAu6Oas54SEVkBlhEqk14vkFNYgqx8La7na5GVV3zX91l5t37O1+J6fvF9D6t4O6tRz8MRdT0dbhUPB9T1cESAmx2UnNODiMiqsYxYCb1eQFNUckeJKEbmrTJxPV+LzLziO77X4kaBFroKnrThqFbeKhkORsWjrocDHNT8o0ZERGXjJ4SZEuIeey7ybu6pyLq17N89FxUvF8DNG8V5OKpRy0GFWg4qeDiqbn2vNnzv7qCGp9PNn2UyHlYhIqKKYRkxEUIIaApLkZX/7yGQrPxio3JxPb/41nItbuRrUVrJcuHuoIL7rYJx8/ub5eLf71XwcFTDzV7FOTiIiKjaVaqMLFy4EHPnzkVqaipatWqFBQsWICIi4p7jv/vuO0yePBkXLlxAw4YN8eGHH+Lpp5+udGhzcGe5uH3o43q+8eGRrFvl4vbhkUqVC7XSUCCM9lY43iwXtW4VDHcHNdwcbHhlCRERmZwKl5ENGzYgJiYGS5YsQWRkJObPn4/OnTvj5MmT8PK6e/6Gf/75B3379sXs2bPxzDPPYO3atejevTsSEhIQHBxcJW+iJgghoCkqLeMEzrtP5szKK8aNAi1KdJUrF7UcVbeKxN17K/49XMJyQURElkEmhKjQJ2ZkZCTatGmDL774AgCg1+sREBCA0aNHY/z48XeN7927N/Lz87F9+3bDsrZt2yIkJARLliwp12tqNBq4uLggJycHzs7OFYl7/+ctKinXyZzXb+3dqEy5cLxjz4X7rXJxu2yUdXiE5YKIiCxFeT+/K7RnRKvVIj4+HhMmTDAsk8vliI6Oxt69e8tcZ+/evYiJiTFa1rlzZ2zbtu2er1NcXIzi4mLDzxqNpiIxy63Xkr04kZpboXUc1co7Dn0YHxL5b7lws1fB1oblgoiI6H4qVEYyMzOh0+ng7e1ttNzb2xsnTpwoc53U1NQyx6empt7zdWbPno3333+/ItEqxcNRDUd14X2vFPnv4RGWCyIioqplklfTTJgwwWhvikajQUBAQJW/zsohbTjhFhERkcQqVEY8PDygUCiQlpZmtDwtLQ0+Pj5lruPj41Oh8QCgVquhVqsrEq1SWESIiIikV6FPY5VKhbCwMMTGxhqW6fV6xMbGIioqqsx1oqKijMYDwM6dO+85noiIiKxLhQ/TxMTEYNCgQQgPD0dERATmz5+P/Px8DBkyBAAwcOBA+Pn5Yfbs2QCAMWPGoGPHjvjkk0/QtWtXrF+/HnFxcVi6dGnVvhMiIiIySxUuI71790ZGRgamTJmC1NRUhISEYMeOHYaTVC9dugS5/N8dLu3atcPatWsxadIkvPfee2jYsCG2bdtmVnOMEBERUfWp8DwjUqiueUaIiIio+pT385tncBIREZGkWEaIiIhIUiwjREREJCmWESIiIpIUywgRERFJimWEiIiIJMUyQkRERJJiGSEiIiJJsYwQERGRpCo8HbwUbk8Sq9FoJE5CRERE5XX7c/tBk72bRRnJzc0FAAQEBEichIiIiCoqNzcXLi4u93zcLO5No9frcfXqVTg5OUEmk1XZ82o0GgQEBCAlJYX3vHkI3I5Vg9uxanA7Vg1ux6ph7dtRCIHc3Fz4+voa3UT3v8xiz4hcLoe/v3+1Pb+zs7NV/iGpatyOVYPbsWpwO1YNbseqYc3b8X57RG7jCaxEREQkKZYRIiIikpRVlxG1Wo2pU6dCrVZLHcWscTtWDW7HqsHtWDW4HasGt2P5mMUJrERERGS5rHrPCBEREUmPZYSIiIgkxTJCREREkmIZISIiIklZdRlZuHAhgoKCYGtri8jISBw4cEDqSCZt9uzZaNOmDZycnODl5YXu3bvj5MmTRmOKioowcuRIuLu7w9HRES+++CLS0tIkSmz65syZA5lMhrFjxxqWcRuWz5UrV/DSSy/B3d0ddnZ2aNGiBeLi4gyPCyEwZcoU1K5dG3Z2doiOjsbp06clTGx6dDodJk+ejLp168LOzg7169fHjBkzjO4jwu1Ytr///hvdunWDr68vZDIZtm3bZvR4ebbb9evX0b9/fzg7O8PV1RWvvPIK8vLyavBdmBBhpdavXy9UKpX4+uuvxbFjx8SwYcOEq6urSEtLkzqayercubNYsWKFSEpKEomJieLpp58WgYGBIi8vzzBm+PDhIiAgQMTGxoq4uDjRtm1b0a5dOwlTm64DBw6IoKAg0bJlSzFmzBjDcm7DB7t+/bqoU6eOGDx4sNi/f784d+6c+PXXX8WZM2cMY+bMmSNcXFzEtm3bxOHDh8Wzzz4r6tatKwoLCyVMblpmzpwp3N3dxfbt28X58+fFd999JxwdHcVnn31mGMPtWLaff/5ZTJw4UWzZskUAEFu3bjV6vDzb7amnnhKtWrUS+/btE7t37xYNGjQQffv2reF3YhqstoxERESIkSNHGn7W6XTC19dXzJ49W8JU5iU9PV0AEH/99ZcQQojs7GxhY2MjvvvuO8OY5ORkAUDs3btXqpgmKTc3VzRs2FDs3LlTdOzY0VBGuA3L59133xWPPPLIPR/X6/XCx8dHzJ0717AsOztbqNVqsW7dupqIaBa6du0qXn75ZaNlL7zwgujfv78QgtuxvP5bRsqz3Y4fPy4AiIMHDxrG/PLLL0Imk4krV67UWHZTYZWHabRaLeLj4xEdHW1YJpfLER0djb1790qYzLzk5OQAAGrVqgUAiI+PR0lJidF2bdKkCQIDA7ld/2PkyJHo2rWr0bYCuA3L64cffkB4eDh69uwJLy8vhIaGYtmyZYbHz58/j9TUVKPt6OLigsjISG7HO7Rr1w6xsbE4deoUAODw4cPYs2cPunTpAoDbsbLKs9327t0LV1dXhIeHG8ZER0dDLpdj//79NZ5ZamZxo7yqlpmZCZ1OB29vb6Pl3t7eOHHihESpzIter8fYsWPRvn17BAcHAwBSU1OhUqng6upqNNbb2xupqakSpDRN69evR0JCAg4ePHjXY9yG5XPu3DksXrwYMTExeO+993Dw4EG88cYbUKlUGDRokGFblfV3nNvxX+PHj4dGo0GTJk2gUCig0+kwc+ZM9O/fHwC4HSupPNstNTUVXl5eRo8rlUrUqlXLKretVZYRengjR45EUlIS9uzZI3UUs5KSkoIxY8Zg586dsLW1lTqO2dLr9QgPD8esWbMAAKGhoUhKSsKSJUswaNAgidOZj40bN2LNmjVYu3YtmjdvjsTERIwdOxa+vr7cjlSjrPIwjYeHBxQKxV1XKKSlpcHHx0eiVOZj1KhR2L59O/7880/4+/sblvv4+ECr1SI7O9toPLfrv+Lj45Geno7WrVtDqVRCqVTir7/+wueffw6lUglvb29uw3KoXbs2mjVrZrSsadOmuHTpEgAYthX/jt/f22+/jfHjx6NPnz5o0aIFBgwYgHHjxmH27NkAuB0rqzzbzcfHB+np6UaPl5aW4vr161a5ba2yjKhUKoSFhSE2NtawTK/XIzY2FlFRURImM21CCIwaNQpbt27FH3/8gbp16xo9HhYWBhsbG6PtevLkSVy6dInb9ZZOnTrh6NGjSExMNHyFh4ejf//+hu+5DR+sffv2d11WfurUKdSpUwcAULduXfj4+BhtR41Gg/3793M73qGgoAByufHHgEKhgF6vB8DtWFnl2W5RUVHIzs5GfHy8Ycwff/wBvV6PyMjIGs8sOanPoJXK+vXrhVqtFitXrhTHjx8Xr776qnB1dRWpqalSRzNZr7/+unBxcRG7du0S165dM3wVFBQYxgwfPlwEBgaKP/74Q8TFxYmoqCgRFRUlYWrTd+fVNEJwG5bHgQMHhFKpFDNnzhSnT58Wa9asEfb29mL16tWGMXPmzBGurq7i+++/F0eOHBHPPfccL0n9j0GDBgk/Pz/Dpb1btmwRHh4e4p133jGM4XYsW25urjh06JA4dOiQACDmzZsnDh06JC5evCiEKN92e+qpp0RoaKjYv3+/2LNnj2jYsCEv7bVGCxYsEIGBgUKlUomIiAixb98+qSOZNABlfq1YscIwprCwUIwYMUK4ubkJe3t78fzzz4tr165JF9oM/LeMcBuWz48//iiCg4OFWq0WTZo0EUuXLjV6XK/Xi8mTJwtvb2+hVqtFp06dxMmTJyVKa5o0Go0YM2aMCAwMFLa2tqJevXpi4sSJori42DCG27Fsf/75Z5n/Hg4aNEgIUb7tlpWVJfr27SscHR2Fs7OzGDJkiMjNzZXg3UhPJsQdU+0RERER1TCrPGeEiIiITAfLCBEREUmKZYSIiIgkxTJCREREkmIZISIiIkmxjBAREZGkWEaIiIhIUiwjREREJCmWESKqVoMHD4ZMJsOcOXOMlm/btg0ymQwAUFRUhMGDB6NFixZQKpXo3r27BEmJSCosI0RU7WxtbfHhhx/ixo0bZT6u0+lgZ2eHN954A9HR0TWcjoikxjJCRNUuOjoaPj4+hlvT/5eDgwMWL16MYcOGWeXt04msHcsIEVU7hUKBWbNmYcGCBbh8+bLUcYjIxLCMEFGNeP755xESEoKpU6dKHYWITAzLCBHVmA8//BDffPMNkpOTpY5CRCaEZYSIasyjjz6Kzp07Y8KECVJHISITopQ6ABFZlzlz5iAkJASNGzeWOgoRmQiWESKqUS1atED//v3x+eefGy0/fvw4tFotrl+/jtzcXCQmJgIAQkJCaj4kEdUomRBCSB2CiCzX4MGDkZ2djW3bthmWXbhwAY0bN4ZWq8Xtf4KCgoJw8eLFu9bnP1FElo9lhIiIiCTFE1iJiIhIUiwjREREJCmWESIiIpIUywgRERFJimWEiIiIJMUyQkRERJJiGSEiIiJJsYwQERGRpFhGiIiISFIsI0RERCQplhEiIiKSFMsIERERSer/ATuePKCAJrrGAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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zZ8+uktxERJZMrxcoKNJBU1CEzNxCpGYX4FJWPgqLpTtBwOxP7TVH3t7ehq+dnJwgk8mMlt0tMTERH3/8MY4fP47g4GAsX74cDRo0AACMGzcOmzZtwsCBAzF58mRcvHgRer0eAQEBGDp0KIYOHWp4nODgYHTo0AHjxo2DEALjx4/HsmXLkJaWBjc3N7z55puYPXs2nnnmGVy8eBHvv/8+3n//fQAlc7mUZt26dXjhhRegVqsNy06cOIHVq1fjiSeeQNeuXbF582YAwPnz57F06VIkJiaW+lgxMTEYOHAgzp07h7p165Z9YxIRWZCb+Vos/PM8rmXfQpFOD22xgFanR1GxHkW6kptWJ6At1qFIJwzLCg33C+j0pf9O/yGuFYL8nKv2Bd1W7cqIEAK3iqRpdzbWigo/62PkyJGYMWMGPDw80L9/f7z11lv4+++/DfefPXsW33//PTZs2GD4qORhvv/+e3z++edYt24dmjRpgtTUVBw6dAgAsGHDBgQFBeGdd95Bv379Hvg4O3fuRLdu3YyWBQUFYfv27ahXrx7i4+PRrFkzAED//v3xf//3f3BwcCj1sfz9/eHl5YWdO3eyjBARlUJTUIRey/bh8OXsCn1cK7kMSis5dPf5j2dVqHZl5FaRDo3H/CLJcx+f0Aa2yordpJMnT0br1q0BAMOHD0f79u1RUFBg2Buh1Wrx9ddfw8PDo8yPmZKSAm9vb0RHR8Pa2hr+/v6Gj05cXV2hUCjg4OBw3701d1y8eBG+vr5Gy5YsWYIBAwbgs88+Q6tWrTBixAisXLkStra2CA8PR5s2bXDu3Dl06dIFkyZNMlrX19cXFy9eLPPrICKyFLmFxeh9u4i42FrjvWfqQm2tgLVCDmuFHEorOZQKmdH31go5lAo5rK1kJX/evdxKDmuFDNZyOeRy6adOqHZlpLq5s2cBAHx8fAAA6enp8Pf3BwDUqlWrXEUEADp27IhZs2ahTp06aNu2LV566SXExMTAyqp8fx1u3bpl9BENADRp0gR//vmn4fvMzEyMHTsWf/31FwYNGoSWLVtiw4YNCA8PR2RkJGJiYgxjbWxskJ+fX64MRETV3S2tDm+t2I+klJtwsrHGqr6RaOLrJHWsClXtyoiNtQLHJ7SR7Lkr2t1Tn9/5COjuU2Dt7OzuWUcul99znEdRUZHhaz8/P5w6dQq//fYbtm/fjgEDBmD69On4888/yzXVuru7O27cuPHAMcOGDcPQoUNRs2ZN7NixA5MmTYKdnR3at2+PHTt2GJWRrKyschcrIqLqrKBIh35fJ2BfchYcVFb4+q2IaldEgGpYRmQyWYV/VGJuPDw8cO3aNcP3Go0GycnJRmNsbGwQExODmJgYxMXFoWHDhjhy5AiaN28OpVJZpnlDQkJCcPz48fveHx8fjxMnTmD58uUASqZyv1OK7i5HAFBQUIBz584hJCSkzK+TiKg6KyzW4b1Vidh1NgO2SgVWvBUu2QGmlY2n9lZDzz33HFauXImdO3fiyJEjiI2NNTq4dcWKFVi6dCmOHj2K8+fPY9WqVbCxsUGtWrUAlMwz8tdff+HKlSvIyMi47/O0adMGu3btKvW+goICDBw4EIsWLTJcSblVq1aYN28eDh06hO+//x6tWrUyjN+zZw9UKhWioqIqYhMQEZm1Ip0eg9YcwB+nrkNtLcey3uEIreUqdaxKwzJSDY0YMQKtW7fGyy+/jPbt26NDhw5GZ6g4Oztj8eLFaNWqFZo1a4bffvsNP/30E9zc3AAAEyZMwIULF1C3bt0HfmzSvXt3HDt2DKdOnbrnvvHjx6N9+/YIDg42LJs9ezYOHjyIp59+GjExMUbzk6xduxbdu3fnlZeJyOIV6/QYuv4gfj2eBqWVHEt6haNFHTepY1UqmbjfJBImRKPRwMnJCdnZ2XB0dDS6r6CgAMnJyahdu/Y9B1NS5fvwww+h0Wjw5ZdfPvJjZGRkoEGDBkhISEDt2rVLHcOfMxFZAp1e4MNvD2HDgSuwVsjwZc9QPNfQS+pYj+xB7993454ReiwjR45ErVq1Huu6MhcuXMD8+fPvW0SIiCyBXi8wcuMRbDhwBQq5DHO6NjfrIlIeln2kJz02Z2dnfPLJJ4/1GGFhYQgLC6ugRERE5kcIgXE/HcO6/ZcglwGzOgejbeCD53qqTrhnhIiISEJCCEz++QS+3n0RMhnwWccgxAT5PnzFaoRlhIiISCJCCHz26yks2VUy/cKU15ri9eY1JU5V9apNGTGD43DpMfDnS0TV0Zzfz2LeH+cAABNebYKuEf4SJ5KG2ZeRO/NnaLVaiZNQZbrz8y3rxQCJiEzdwj/PYeb20wCAUe0boVdUgLSBJGT2B7BaWVnB1tYW169fh7W1tWGCLao+9Ho9rl+/Dltb23JfP4eIyBQt25WMaVtPAgA+bNMAfZ+qI3EiaZn9b3aZTAYfHx8kJyfziq/VmFwuh7+/v+H6PERE5mrVnouYsLnkUhqDn6uHuGfrSZxIemZfRgBAqVSifv36/KimGlMqldzrRURm75uESxi16SgA4N3WdfD+C09InMg0VIsyApT8z5kzcxIRkan64eAVfPz9YQBA75YBGN62Iff23sb/ahIREVWyLUeuYdg3hyAE0C3SH2NjGrOI3IVlhIiIqBL9djwNg9cegE4v8GZoTUx6NZBF5D9YRoiIiCrJn6evY8DqJBTrBV4J8sWnbzSDXM4i8l8sI0RERJXgZKoGA1YlQqvTo12gN2Z2CoKCRaRULCNEREQVLCtPi75fJSBPq0NUHTd80SUEVgq+5d4PtwwREVEFKtLp8d6qRFy+cQu13Gwxv3tzKK34dvsg3DpEREQVaPxPx7A3OQv2Kiss7hUGFzul1JFMHssIERFRBVm55yJW7UmBTAbM6hyMJ7wcpI5kFlhGiIiIKsA/5zIw/sdjAEquNxPd2EviROaDZYSIiOgxpWTmI+72KbyvBvvivdZ1pY5kVlhGiIiIHkNuYTH6fZ2AG/lFaFbTCZ++0YyTmpUTywgREdEj0usFhq47iFNpOfB0UGFRzzCorRVSxzI7LCNERESPaOb20/jtRBqUVnJ82TMU3k68YOujYBkhIiJ6BD8euoq5f5wFAEx7vSlC/F0kTmS+WEaIiIjK6cjlbHz47SEAwLtP18HrzWtKnMi8sYwQERGVQ3pOAfp9nYDCYj2ebeCBj9o2lDqS2WMZISIiKqOCIh3eXZmIVE0B6nrY4YuuIbz4XQV4pDIyb948BAQEQK1WIzIyEvv27Xvg+FmzZqFBgwawsbGBn58f3n//fRQUFDxSYCIiIikIITBy41EcSLkJJxtrLIkNh6PaWupY1UK5y8j69esxbNgwjB07FklJSQgKCkKbNm2Qnp5e6vg1a9Zg+PDhGDt2LE6cOIGlS5di/fr1+OSTTx47PBERUVVZuisZ3yddhkIuw7xuzVHb3U7qSNVGucvIzJkz0a9fP/Tp0weNGzfGwoULYWtri2XLlpU6/p9//kGrVq3QrVs3BAQE4MUXX0TXrl0fujeFiIjIVPxxKh1TtpwAAIxq3whP1neXOFH1Uq4yotVqkZiYiOjo6H8fQC5HdHQ0du/eXeo6LVu2RGJioqF8nD9/Hlu2bMFLL7103+cpLCyERqMxuhEREUnhbHouBq85AL0AOof5oXfLAKkjVTtW5RmckZEBnU4HLy/ji/94eXnh5MmTpa7TrVs3ZGRk4Mknn4QQAsXFxejfv/8DP6aZOnUqxo8fX55oREREFS47vwj9vk5ATmExwgNcMLFDIKd6rwSVfjbNjh07MGXKFMyfPx9JSUnYsGEDfv75Z0ycOPG+64wYMQLZ2dmG26VLlyo7JhERkZFinR4D1yYhOSMPvk5qLOgRCqUVT0KtDOXaM+Lu7g6FQoG0tDSj5WlpafD29i51ndGjR6Nnz57o27cvAKBp06bIy8vDO++8g5EjR0Iuv/cHq1KpoFKpyhONiIioQk3dehI7z2TAxlqBxbFhcLfn+1JlKVfFUyqVCA0NRXx8vGGZXq9HfHw8oqKiSl0nPz//nsKhUJRcREgIUd68REREle6b/ZewdFcyAGBmpyA08XWSOFH1Vq49IwAwbNgwxMbGIiwsDBEREZg1axby8vLQp08fAECvXr1Qo0YNTJ06FQAQExODmTNnIiQkBJGRkTh79ixGjx6NmJgYQykhIiIyFQkXsjBy0xEAwJDn66NdUx+JE1V/5S4jnTt3xvXr1zFmzBikpqYiODgY27ZtMxzUmpKSYrQnZNSoUZDJZBg1ahSuXLkCDw8PxMTEYPLkyRX3KoiIiCrAlZu30H9VIop0Au0CvTHk+fpSR7IIMmEGn5VoNBo4OTkhOzsbjo6OUschIqJq6JZWhzcX/oNjVzVo5OOI79+Lgq2y3P9np7uU9f2bhwUTEZHFE0Lgk41HcOyqBm52SizuFcoiUoVYRoiIyOKt2nMRGw9cgUIuw9xuzVHTxVbqSBaFZYSIiCxaUsoNTNh8HADwcdsGiKrrJnEiy8MyQkREFisztxBxq5MMB6z2e6qO1JEsEssIERFZJJ1eYPC6A7iWXYA6Hnb4vzebcap3ibCMEBGRRZrx6yn8fTYTNtYKLOwRCge1tdSRLBbLCBERWZxfj6Vi/o5zAIBP32yGJ7wcJE5k2VhGiIjIolzIyMP/vjkEAOjdMgCvBPlKnIhYRoiIyGLc0urQf1UicgqLEVrLBZ+81EjqSASWESIishBCCIzceAQnU3Pgbq/EvG7NobTi26Ap4E+BiIgswqq9Kdhwe2KzOV2bw9tJLXUkuo1lhIiIqr0DKTcw4adjAICP2nBiM1PDMkJERNVaZm4hBtye2KxtE2+88zQnNjM1LCNERFRt6fQCQ9YdLJnYzN0O0ztyYjNTxDJCRETV1sztp7DrbEbJxGY9ObGZqWIZISKiamn78TTM+6NkYrNpbzTlxGYmjGWEiIiqnQsZeRj2zUEAJRObvRpcQ9pA9EAsI0REVK0YJjYrKEZzf2dObGYGWEaIiKjaEEJg5KaSic3c7JSY150Tm5kD/oSIiKjaWL03BRuSrkAuA+Z0DYGPk43UkagMWEaIiKhaOHjpJib8dBwA8GGbhmhZz13iRFRWLCNERGT2svK0GLAqEVqdHi829kL/1pzYzJywjBARkVnT6QUGrz2Aq9kFqO1uh886BXFiMzPDMkJERGbt8+2nsetsBtTWcizo0RyOnNjM7LCMEBGR2frteBrm/nEWADDt9WZo6O0ocSJ6FCwjRERkli5m5uH92xOb9YqqhQ4hnNjMXLGMEBGR2Sko0uG9VUnIKShGiL8zRrVvLHUkegwsI0REZHbG/nAMx69p4GqnxHxObGb2+NMjIiKz8k3CJaxPuASZDJjdhRObVQcsI0REZDaOXc3G6E1HAQDDop/Ak/U5sVl1wDJCRERmQVNQhAGrk1BYrMczDTwQ92w9qSNRBWEZISIikyeEwAffHMLFzHzUcLbB552CIZdzYrPqgmWEiIhM3pKdyfj1eBqsFTLM694cLnZKqSNRBWIZISIik7YvOQvTtp0EAIx5uTGC/ZylDUQVjmWEiIhMVnpOAQauSYJOL/BqsC96tKgldSSqBCwjRERkkop1egxZexDpOYWo52mPKa815QXwqimWESIiMkkzt5/G7vOZsFUqsLBHc9iprKSORJWEZYSIiExO/Ik0zN9xDgAw7Y1mqOfpIHEiqkwsI0REZFIuZeXj/fUHAQCxUbXwSpCvtIGo0rGMEBGRySgo0uG91YnQFBQj2M8ZI3kBPIvAMkJERCZjwubjOHpFAxdba8zjBfAsBn/KRERkEjYkXcaavSmQyYBZXUJQw5kXwLMULCNERCS5k6kafLLxCABg8HP10foJD4kTUVViGSEiIknlFBThvVVJKCjS46n67hj8fH2pI1EVYxkhIiLJCCHw8feHkZyRBx8nNWZ1DoaCF8CzOCwjREQkmeV/X8CWI6mwksswt1tzuNmrpI5EEmAZISIiSSRezMKULScAACPbN0JoLReJE5FUWEaIiKjKZeQWIm71ARTrBdo380HvlgFSRyIJsYwQEVGV0ukFhq47iFRNAep42OHTN5rxAngWjmWEiIiq1Be/ncausxmwsVZgYY9Q2PMCeBaPZYSIiKrMH6fSMfv3swCAKa8H4gkvXgCPWEaIiKiKXL7x7wXwukf647WQmtIGIpPBMkJERJWusFiHuNVJuJlfhGY1nTAmhhfAo3+xjBARUaWbtPkEDl3OhpONNeZ1aw6VlULqSGRCWEaIiKhSbTxwGSv3XAQAfN45CH6uthInIlPDMkJERJXmxDUNRmy4cwG8eniuoZfEicgUsYwQEVGlyL5VhPdWJRougDck+gmpI5GJYhkhIqIKJ4TAB98ewoXMfNRwtsEXXUJ4ATy6L5YRIiKqcAv/PI/tx9OgVMgxv3tzuNoppY5EJoxlhIiIKtQ/ZzMw/ZeTAICxrzRGkJ+ztIHI5LGMEBFRhUnNLsCgtQegF8AbzWuiW4S/1JHIDLCMEBFRhdAW6zFgdSIy87Ro5OOISR0CeQE8KhOWESIiqhBTtpxAUspNOKitsLBHc9goObEZlc0jlZF58+YhICAAarUakZGR2Ldv3wPH37x5E3FxcfDx8YFKpcITTzyBLVu2PFJgIiIyPT8cvIIV/1wAAHzeKRi13OykDURmpdzXbV6/fj2GDRuGhQsXIjIyErNmzUKbNm1w6tQpeHp63jNeq9XihRdegKenJ7777jvUqFEDFy9ehLOzc0XkJyIiiZ1Oy8Hw70smNot7ti6iG3NiMyofmRBClGeFyMhIhIeHY+7cuQAAvV4PPz8/DBo0CMOHD79n/MKFCzF9+nScPHkS1tbWjxRSo9HAyckJ2dnZcHR0fKTHICKiipdTUIRX5/6N8xl5aFXPDV+/Fcn5RMigrO/f5fqYRqvVIjExEdHR0f8+gFyO6Oho7N69u9R1fvzxR0RFRSEuLg5eXl4IDAzElClToNPp7vs8hYWF0Gg0RjciIjItQgh89N1hnM/Ig4+TGrM5sRk9onKVkYyMDOh0Onh5Ge+C8/LyQmpqaqnrnD9/Ht999x10Oh22bNmC0aNHY8aMGZg0adJ9n2fq1KlwcnIy3Pz8/MoTk4iIqsCSncnYejQV1goZ5ndvDjd7ldSRyExV+tk0er0enp6eWLRoEUJDQ9G5c2eMHDkSCxcuvO86I0aMQHZ2tuF26dKlyo5JRETlsPd8JqZtK5nYbMzLjRHi7yJxIjJn5TqA1d3dHQqFAmlpaUbL09LS4O3tXeo6Pj4+sLa2hkLx7ylejRo1QmpqKrRaLZTKe6cIVqlUUKnYsImITFG6pgBxaw5ApxfoEOyLHi1qSR2JzFy59owolUqEhoYiPj7esEyv1yM+Ph5RUVGlrtOqVSucPXsWer3esOz06dPw8fEptYgQEZHpKtLpEbcmCRm5hWjg5YAprzflxGb02Mr9Mc2wYcOwePFifPXVVzhx4gTee+895OXloU+fPgCAXr16YcSIEYbx7733HrKysjBkyBCcPn0aP//8M6ZMmYK4uLiKexVERFQlpm09if0XbsBBZYWFPUNhqyz3DBFE9yj336LOnTvj+vXrGDNmDFJTUxEcHIxt27YZDmpNSUmBXP5vx/Hz88Mvv/yC999/H82aNUONGjUwZMgQfPzxxxX3KoiIqNJtPnwVS3clAwCmdwxCbXdObEYVo9zzjEiB84wQEUnrbHoOXp37N/K0Orzbug5GtGskdSQyA5UyzwgREVmevMJi9F+VhDytDlF13PDhiw2kjkTVDMsIERHdlxACH31/GGfTc+HlqMLsriGwUvCtgyoW/0YREdF9Lf/7An4+fA1W8pKJzTwcOO0CVTyWESIiKlXChSxM2XICADCyfSOE1nKVOBFVVywjRER0j/ScAgxYnYRivUBMkC96twyQOhJVYywjRERkpEinx6A1B5CeU4j6nvaYxonNqJKxjBARkZEpW05gb3IW7FVWWNAjFHYqTmxGlYtlhIiIDDYeuIzlf18AAMzoFIR6nvbSBiKLwDJCREQAgKNXsjH8+yMAgEHP1UObJqVfAJWoorGMEBERsvK0eHdlIgqL9Xi2gQeGRj8hdSSyICwjREQWrlinx6C1Sbhy8xYC3Gwxq0sIFHIesEpVh2WEiMjC/d8vp/D32UzYKhX4smcYnGyspY5EFoZlhIjIgv106CoW/XUeADD9zSA08HaQOBFZIpYRIiILdeKaBh99dxgA0L91XbRv5iNxIrJULCNERBboZn7JAau3inR4qr47PmzDK/GSdFhGiIgsjE4vMHjdQaRk5cPP1QZzuvKAVZIWywgRkYWZ8esp/HX6OtTWcnzZIwzOtkqpI5GFYxkhIrIgW49cw/wd5wAAn77RDI19HSVORMQyQkRkMU6n5eB/3x4CAPR9sjZeDa4hcSKiEiwjREQWIPtWEd5dmYh8rQ4t67pheLuGUkciMmAZISKq5vR6gffXH0RyRh5qOJccsGql4K9/Mh3820hEVM3Nij+D30+mQ2klx8IeoXCzV0kdicgIywgRUTW2/XgaZsefAQBMfa0pmtZ0kjgR0b1YRoiIqqmz6bl4f/1BAEDvlgF4I7SmtIGI7oNlhIioGsopKMK7KxOQW1iMiABXjGzfSOpIRPfFMkJEVM3o9QL/++YQzl3Pg7ejGvO6N4c1D1glE8a/nURE1cz8HWfx6/E0KBVyLOjRHB4OPGCVTBvLCBFRNfLHyXTM2H4aADCxQxOE+LtInIjo4VhGiIiqiQsZeRi87gCEALpF+qNzuL/UkYjKhGWEiKgayCssxjsrE5BTUIzm/s4YG9NY6khEZcYyQkRk5oQQ+PC7QzidlgsPBxUW9AiFykohdSyiMmMZISIyc/N3nMOWI6mwVsiwoHtzeDmqpY5EVC4sI0REZuzXY6mY/sspAMDYmCYIC3CVOBFR+bGMEBGZqRPXNBh6e4bVXlG10KNFLWkDET0ilhEiIjOUmVuIvl8lIF+rQ8u6bhj9Mg9YJfPFMkJEZGa0xXq8tyoJV27eQi03W8znDKtk5vi3l4jIjAghMOaHo9h3IQsOKissjQ2Ds61S6lhEj4VlhIjIjKz45wLW7b8EmQyY3TUE9TwdpI5E9NhYRoiIzMTOM9cxcfNxAMCIdg3xbENPiRMRVQyWESIiM3D+ei7iVidBL4A3mtdEv6fqSB2JqMKwjBARmbjsW0Xo+3UCNLenep/yeiBkMpnUsYgqDMsIEZEJK9bpMWjtAZy/ngcfJzUW9uRU71T9sIwQEZmwqVtP4q/T12FjrcDiXmHwdOBU71T9sIwQEZmob/ZfwtJdyQCAGZ2CEFjDSeJERJWDZYSIyAQlXMjCyE1HAABDnq+Pl5r6SJyIqPKwjBARmZjLN/Lx7spEFOkE2gV6Y8jz9aWORFSpWEaIiExIXmEx+n2diMw8LRr7OGJGpyDI5Txzhqo3lhEiIhOh1wv875tDOHFNA3d7JRbHhsFWaSV1LKJKxzJCRGQiZv12GtuOpUKpkOPLnqGo4WwjdSSiKsEyQkRkAjYfvorZv58FAEx+LRChtVwlTkRUdVhGiIgkdvRKNj749hAAoN9TtdExzE/iRERVi2WEiEhC6ZoC9Ps6AQVFejzTwAPD2zWSOhJRlWMZISKSSEGRDu+sTMS17ALU9bDD7K4hUPDMGbJALCNERBIQQuCTDUdw8NJNONlYY2lsOBzV1lLHIpIEywgRkQQW/XUeGw5cgUIuw/zuzRHgbid1JCLJsIwQEVWx30+mYdq2kwCAsTGN0aqeu8SJiKTFMkJEVIWOX9Vg0JoDEALoFumPni1qSR2JSHIsI0REVeRa9i28tWI/8rQ6tKzrhnExTSCT8YBVIpYRIqIqkFtYjLdWJCBVU4D6nvZY0CMUSiv+CiYCWEaIiCpdsU6PuNVJt685o8Ky3uFwsuGZM0R3sIwQEVUiIQTG/ngMf56+DrW1HEtjw+Dnait1LCKTwjJCRFSJFu88j9V7UyCTAbO7hCDIz1nqSEQmh2WEiKiSbDlyDVO2lJzCO6p9Y7zYxFviRESm6ZHKyLx58xAQEAC1Wo3IyEjs27evTOutW7cOMpkMHTp0eJSnJSIyG0kpN/D++oMAgNioWnirVYCkeYhMWbnLyPr16zFs2DCMHTsWSUlJCAoKQps2bZCenv7A9S5cuIAPPvgATz311COHJSIyBymZ+ej3VQIKi/WIbuSJMTyFl+iByl1GZs6ciX79+qFPnz5o3LgxFi5cCFtbWyxbtuy+6+h0OnTv3h3jx49HnTp1HiswEZEpu5mvRe8V+5CZp0VgDUd80YUXvyN6mHKVEa1Wi8TERERHR//7AHI5oqOjsXv37vuuN2HCBHh6euLtt98u0/MUFhZCo9EY3YiITF1hsQ7vrkzE+et58HVSY1lsOOxUVlLHIjJ55SojGRkZ0Ol08PLyMlru5eWF1NTUUtfZtWsXli5disWLF5f5eaZOnQonJyfDzc/PrzwxiYiqnBACw78/gr3JWbBXWWFZn3B4OqqljkVkFir1bJqcnBz07NkTixcvhrt72S8ENWLECGRnZxtuly5dqsSURESP7/PfzmDjXVfhbejtKHUkIrNRrv2H7u7uUCgUSEtLM1qelpYGb+97T1k7d+4cLly4gJiYGMMyvV5f8sRWVjh16hTq1q17z3oqlQoqlao80YiIJPNd4mXMjj8DAJjcIRBPP+EhcSIi81KuPSNKpRKhoaGIj483LNPr9YiPj0dUVNQ94xs2bIgjR47g4MGDhtsrr7yCZ599FgcPHuTHL0Rk9v45l4ERGw4DAAY8UxddIvwlTkRkfsp9ZNWwYcMQGxuLsLAwREREYNasWcjLy0OfPn0AAL169UKNGjUwdepUqNVqBAYGGq3v7OwMAPcsJyIyN2fScvDuykQU6QRebuaDD15sIHUkIrNU7jLSuXNnXL9+HWPGjEFqaiqCg4Oxbds2w0GtKSkpkMs5sSsRVW/XcwrRZ8V+5BQUI6yWCz7rGAQ5T+EleiQyIYSQOsTDaDQaODk5ITs7G46OPCiMiKR1S6tDl0W7cehyNgLcbLFhQCu42imljkVkcsr6/s1dGERE5aDTCwxdfwCHLmfDxdYay/tEsIgQPSaWESKicpi65QR+OZYGpUKORb3CUNvdTupIRGaPZYSIqIy+3n0BS3YlAwA+6xSE8ABXiRMRVQ8sI0REZRB/Ig3jfjwGAPiwTQO8EuQrcSKi6oNlhIjoIY5eycagtQegF0DnMD8MeObeyRqJ6NGxjBARPcCVm7fw1or9yNfq8GQ9d0x6LRAyGU/hJapILCNERPeRladFz6V7kZ5TiCe87DG/R3NYK/hrk6ii8V8VEVEp8gqL0Wf5Ppy/ngdfJzVW9ImAo9pa6lhE1RLLCBHRf2iL9ei/KtEwl8jXb0fC19lG6lhE1RbLCBHRXfR6gWHfHMTOMxmwVSqwvE8E6nnaSx2LqFpjGSEiuk0IgfE/HcPmw9dgrZBhYY9QBPs5Sx2LqNpjGSEium3O72fx1e6LkMmAzzoG4eknPKSORGQRWEaIiACs2nMRM7efBgCMfbkxXg2uIXEiIsvBMkJEFm/LkWsY/cNRAMDg5+qhd6vaEicisiwsI0Rk0f4+m4Gh6w5CCKBbpD/ef+EJqSMRWRyWESKyWEcuZ+OdrxOg1enRLtAbE1/l7KpEUmAZISKLdP56Lnov34c8rQ4t67phVpdgKOQsIkRSYBkhIouTpilAz6X7kJmnRWANR3zZMxQqK4XUsYgsFssIEVmU7Pwi9Fq6D1du3kKAmy1W9ImAA6d5J5IUywgRWYxbWh3e/mo/TqXlwNNBhZVvR8LdXiV1LCKLxzJCRBahSKdH3JokJFy8AUe1Fb5+OwJ+rrZSxyIisIwQkQXQ6wU+/v4wfj+ZDpWVHEt7h6Oht6PUsYjoNpYRIqr2pm07iQ1JV6CQyzCvW3OEB7hKHYmI7sIyQkTV2pd/nsOiv84DAD59oxmiG3tJnIiI/otlhIiqrW8SLmHq1pMAgE9eaog3Q2tKnIiISsMyQkTV0vbjaRix4QgA4N2n6+Cdp+tKnIiI7odlhIiqnX3JWRi4Jgk6vcAbzWtieLuGUkciogdgGSGiauXENQ3e/mo/Cov1eL6hJ6a90ZTXmyEycSwjRFRtnE3PRc+l+5BTUIywWi6Y2605rBX8NUdk6vivlIiqheSMPHRbvAcZuYVo5OOIpbHhsFHyejNE5oBlhIjM3qWsfHRbvAfpOYVo4OWA1X0j4WTL680QmQuWESIya1du3kKXRXtwLbsAdT3ssKpvJFztlFLHIqJyYBkhIrOVml2Arov24MrNW6jtboe1/VrAw4EXviMyNywjRGSW0jUF6LZ4D1Ky8uHvaos1/SLh6aiWOhYRPQKWESIyOxm5hei2ZC/OZ+ShhrMN1vSLhI+TjdSxiOgRsYwQkVnJytOix5K9OJueC29HNdb2a4GaLrZSxyKix8AyQkRm42Z+SRE5mZoDTwcV1r7TAv5uLCJE5o5lhIjMgqagCL2W7cPxaxq42yuxpl8karvbSR2LiCoAywgRmbzcwmLELtuHw5ez4WJrjdV9W6Cep4PUsYiogrCMEJFJy9cWo8/yfTiQchNONtZY1TcSDbxZRIiqE5YRIjJZt7Q6vL0iAfsv3ICD2gqr3o5EE18nqWMRUQVjGSEik1RQpMM7KxOw+3wm7FVW+PqtCDStySJCVB2xjBCRySks1uG9VYnYeSYDtkoFlvcJR4i/i9SxiKiSsIwQkUkp0ukxcM0B/HHqOtTWciyNDUd4gKvUsYioErGMEJHJKNbpMWTdAWw/ngallRxLeoUjqq6b1LGIqJKxjBCRSdDpBYZ9cwhbjqRCqZBjUc9QPFnfXepYRFQFWEaISHJ6vcCH3x3Cj4euwkouw/zuzfFMA0+pYxFRFWEZISJJ6fUCn2w8gg1JV6CQyzC3WwiiG3tJHYuIqhDLCBFJRgiBMT8exbr9lyCXAbM6B6NtoI/UsYioillJHYCILJNOLzBq0xGs3XcJMhkwo1MQYoJ8pY5FRBJgGSGiKlek0+ODbw/hh4NXIZcBn77RDK+F1JQ6FhFJhGWEiKpUQZEOg9aWnL5rJZdhVpdgvNyMe0SILBnLCBFVmXxtMd5dWTKzqtJKjoU9muO5hjxYlcjSsYwQUZXQFBThreX7kXDxBmyVCizpFYaW9TiPCBGxjBBRFcjK0yJ22T4cuZINR7UVVrwVgea81gwR3cYyQkSVKl1TgO5L9uJMei7c7JT4+u0INPHl1XeJ6F8sI0RUaS7fyEf3JXtxMTMf3o5qrOobiXqe9lLHIiITwzJCRJXi/PVcdF+yF9eyC+DnaoM1fVvAz9VW6lhEZIJYRoiowp24pkHPpXuRkatFXQ87rO7bAt5OaqljEZGJYhkhogp18NJNxC7bh+xbRWjs44iVb0fAzV4ldSwiMmEsI0RUYfacz8TbK/YjT6tDc39nLO8TAScba6ljEZGJYxkhogqx41Q63l2ZiMJiPVrWdcPiXmGwU/FXDBE9HH9TENFj23rkGgavO4AincDzDT0xr3tzqK0VUsciIjMhf5SV5s2bh4CAAKjVakRGRmLfvn33Hbt48WI89dRTcHFxgYuLC6Kjox84nojMy/eJlxG3JglFOoH2zXywsGcoiwgRlUu5y8j69esxbNgwjB07FklJSQgKCkKbNm2Qnp5e6vgdO3aga9eu+OOPP7B79274+fnhxRdfxJUrVx47PBFJa+XuC/jft4egF0CnsJqY3SUE1opH+j8OEVkwmRBClGeFyMhIhIeHY+7cuQAAvV4PPz8/DBo0CMOHD3/o+jqdDi4uLpg7dy569epVpufUaDRwcnJCdnY2HB0dyxOXiCrJwj/PYdrWkwCA3i0DMOblxpDLZRKnIiJTUtb373L9F0ar1SIxMRHR0dH/PoBcjujoaOzevbtMj5Gfn4+ioiK4urqW56mJyEQIITDj11OGIjLw2XoYG8MiQkSPrlwHsGZkZECn08HLy/iS315eXjh58mSZHuPjjz+Gr6+vUaH5r8LCQhQWFhq+12g05YlJRJVECIGJm09g2d/JAICP2jbAgGfqSZyKiMxdlX64O23aNKxbtw4bN26EWn3/2RinTp0KJycnw83Pz68KUxJRaYp0enz03WFDEZnwahMWESKqEOUqI+7u7lAoFEhLSzNanpaWBm9v7weu+9lnn2HatGn49ddf0axZsweOHTFiBLKzsw23S5culScmEVWwnIIivLViP75NvAy5DJj+ZjP0igqQOhYRVRPlKiNKpRKhoaGIj483LNPr9YiPj0dUVNR91/u///s/TJw4Edu2bUNYWNhDn0elUsHR0dHoRkTSSM0uQKcv92DnmQzYWCuwuFcYOoZxbyURVZxyT3o2bNgwxMbGIiwsDBEREZg1axby8vLQp08fAECvXr1Qo0YNTJ06FQDw6aefYsyYMVizZg0CAgKQmpoKALC3t4e9PS8lTmTKTqZq0Gf5flzLLoC7vQrLeoehWU1nqWMRUTVT7jLSuXNnXL9+HWPGjEFqaiqCg4Oxbds2w0GtKSkpkMv/3eGyYMECaLVavPnmm0aPM3bsWIwbN+7x0hNRpfn7bAb6r0xETmEx6nrYYUWfCPi52kodi4iqoXLPMyIFzjNCVLW+S7yM4d8fRrFeIKK2Kxb1DIWzrVLqWERkZsr6/s1r0xCRgRACs+PP4vPfTgMAYoJ88VnHZlBZcXp3Iqo8LCNEBKDk1N1PNhzBt4mXAQDvPVMXH77YgJOZEVGlYxkhIuQUFGHA6iTsPJMBuQyY2CEQ3SNrSR2LiCwEywiRhbuWfQt9lu/HydQc2CoVmNstBM819Hr4ikREFYRlhMiCnbhWcupuqqYAHg4qLIsNR9OaTlLHIiILwzJCZKF2ncnAe6tKTt2t52mPFX3CUdOFp+4SUdVjGSGyQN8mXMKIDUdQrBdoUccVX/YIg5OttdSxiMhCsYwQWRAhBL6IP4NZv50BALwa7Iv/e5On7hKRtFhGiCyEtliPTzYewXe3T92Ne7Yu/vcCT90lIumxjBBZgJyCIry3Kgm7zmZAIZdh4quB6BbpL3UsIiIALCNE1d5/T92d1705nm3gKXUsIiIDlhGiauz4VQ3eWvHvqbvLe4cjsAZP3SUi08IyQlRN/XY8DUPXH0RuYTHqe9pjOU/dJSITxTJCVM3o9QJz/ziLmdtLLnYXVccNC3uGwsmGp+4SkWliGSGqRnILi/G/bw7il2NpAIDYqFoY9XJjWCvkEicjIro/lhGiauJCRh76fZ2AM+m5UCrkmNQhEJ3C/aSORUT0UCwjRNXAjlPpGLz2ADQFxfByVGFhj1CE+LtIHYuIqExYRojMmBACC/48h+m/nIIQQGgtFyzo0RyeDmqpoxERlRnLCJGZytcW48PvDuPnw9cAAN0i/TEupgmUVjw+hIjMC8sIkRlKyczHOysTcDI1B9YKGca90gTdI2tJHYuI6JGwjBCZmV1nMjBwbRJu5hfB3V6FhT2aIyzAVepYRESPjGWEyEwIIbBkZzKmbj0BvQCC/JzxZY9QeDvx+BAiMm8sI0Rm4JZWh+EbDuOHg1cBAB1Da2Jih0CorRUSJyMienwsI0Qm7vKNfLy7MhHHrmpgJZdhTExj9GxRCzKZTOpoREQVgmWEyIT9cy4DA9ccQFaeFm52Sszr3hwt6rhJHYuIqEKxjBCZICEEVvxzAZN+PgGdXiCwhiO+7BmGGs42UkcjIqpwLCNEJqagSIeRG4/i+6TLAIDXQmpg6utNeXwIEVVbLCNEJuTqzVvovyoRhy9nQyGX4ZOXGuGtVgE8PoSIqjWWESITsS85CwNWJyIjVwsXW2vM7dYcreq5Sx2LiKjSsYwQSUyvL7m+zMztp6HTCzTyccSinqHwc7WVOhoRUZVgGSGS0PWcQgz75iB2nskAUHJ8yOTXAmGr5D9NIrIc/I1HJJG/z2ZgyLqDyMgthI21AhNebYI3Q2vy+BAisjgsI0RVrFinx+z4M5jzx1kIATTwcsDcbiGo7+UgdTQiIkmwjBBVodTsAgxedwD7krMAAF0j/DDm5SawUfK0XSKyXCwjRFXkj5Pp+N+3h5CVp4WdUoEprzfFq8E1pI5FRCQ5lhGiSlak0+OzX07hy7/OAwCa+DpibrfmqO1uJ3EyIiLTwDJCVIku38jHoLUHcCDlJgCgd8sAjHipIVRW/FiGiOgOlhGiSvLLsVR8+O0haAqK4ai2wv+92QxtA32kjkVEZHJYRogqWGGxDlO3nMSKfy4AAIL9nDGnawgnMSMiug+WEaIKdCEjDwPXJuHoFQ0A4J2n6+DDNg1grZBLnIyIyHSxjBBVkJ8OXcWIDUeQW1gMF1trzOgUhOcaekkdi4jI5LGMED2mgiIdxv90HGv3pQAAIgJc8UXXYPg42UicjIjIPLCMED2Gs+m5GLgmCSdTcyCTAQOfrYchz9eHFT+WISIqM5YRokcghMD3SVcwetNR3CrSwd1ehVmdg/FkfXepoxERmR2WEaJyupCRh7E/HsOfp68DAFrVc8PnnYPh6aCWOBkRkXliGSEqo4IiHebvOIeFf56DtlgPpUKOwc/Xw3vP1INCzivtEhE9KpYRojL442Q6xv54DClZ+QCAp+q7Y8KrgZzSnYioArCMED3AlZu3MOGnY/jlWBoAwNtRjTExjdEu0BsyGfeGEBFVBJYRolJoi/VYsus85sSfxa0iHazkMrz1ZG0Mfr4+7FX8Z0NEVJH4W5XoP/45l4HRm47i3PU8AEBEbVdM6hCIJ7wcJE5GRFQ9sYwQ3ZauKcCkn0/gx0NXAQDu9kp88lIjvBZSgx/JEBFVIpYRsnjFOj2+3n0RM7efRm5hMeQyoEeLWvjfiw3gZGMtdTwiomqPZYQsWuLFLIzadAwnrpVc2C7IzxmTOwQisIaTxMmIiCwHywhZpMzcQny67SS+SbgMAHCyscbHbRuiS7gf5JwzhIioSrGMkEXR6wXW7k/B/207hexbRQCAzmF++LhdQ7jaKSVOR0RkmVhGyGIcuZyNUT8cxaFLNwEAjXwcMalDE4TWcpU2GBGRhWMZIZMkhEBBkR752mLcKtLhllaHfK3O8PWtoru/Lza+T6tDfpEOBbfXyb895kx6LoQA7FVWGPbCE+gVVYtX1yUiMgEsIyQZIQSy8rQ4n5GH5Ot5JX9m5OL89TxczMyHVqev8Od8NdgXI19qBE9HXtSOiMhUsIxQpcvXFuNCRj7OZ+Qi+XoekjPycC4jD8nXc6EpKH7o+korOWyVCthaK6BWKmCrVMDGWgEbpRVsrRWwUZbc7v7axvr2OKWV4WtvJzXqethXwSsmIqLyYBmhClGs0+PKzVs4/589HMkZebiWXXDf9WQywNfJBnU87FDbveRWx8Metd3s4GqvhI21glfEJSKq5lhGqFRCCORpdcjK1SIzrxCZuVpk5WmRmadF1u3vS74uuaXnFKBIJ+77eC621rfLhj3qeNihjrsdanvYIcDNDmprRRW+MiIiMjUsIxbiTrnIzC0sKRG3y0VGXuFdX5cUjazbRaOwuHzHbKis5Hft3SgpHrXdS4qHC0+bJSKi+2AZMVNCCOQWFpeUiNw7eyhKisb99mJoy1kuAEBtLYebnQpu9kq42pXc3OyUcLNXGX3t4aCCj6OaE4YREVG5sYyYCCEEcgqLDXslsvK0/+7F+M/XWbcLx6OcbfLfcmH8tfL21yrD17ZK/hUhIqLK9UjvNPPmzcP06dORmpqKoKAgzJkzBxEREfcd/+2332L06NG4cOEC6tevj08//RQvvfTSI4c2B3fKRcleCuNjLgzL7tqLkZX3aOXCxloBVzsl3A17LlR3fV1SKNzsVIavWS6IiMjUlPudaf369Rg2bBgWLlyIyMhIzJo1C23atMGpU6fg6el5z/h//vkHXbt2xdSpU/Hyyy9jzZo16NChA5KSkhAYGFghL6IqCCGgKSg2fByScVeJyMgtNNpjkZlXiBt5RY9ULmyVilI/CnG9/b3bf0qGjZIHfxIRkXmTCSHufwpEKSIjIxEeHo65c+cCAPR6Pfz8/DBo0CAMHz78nvGdO3dGXl4eNm/ebFjWokULBAcHY+HChWV6To1GAycnJ2RnZ8PR0bE8cR/8uAVFyMgpLHWPxb/F4vZBnXnaB54tcj+2SoXRRx//Fonby+zvKhssF0REVI2U9f27XHtGtFotEhMTMWLECMMyuVyO6Oho7N69u9R1du/ejWHDhhkta9OmDTZt2nTf5yksLERhYaHhe41GU56YZdZp4W6cTM0p1zp2SgVcb5cL99slwtVeCffbH4W42v+7V8PNTsnTVomIiB6iXGUkIyMDOp0OXl5eRsu9vLxw8uTJUtdJTU0tdXxqaup9n2fq1KkYP358eaI9End7FeyU+f85M6S0vRgqQ8lguSAiIqpYJnk044gRI4z2pmg0Gvj5+VX486zoE84LpREREUmsXGXE3d0dCoUCaWlpRsvT0tLg7e1d6jre3t7lGg8AKpUKKpWqPNEeCYsIERGR9Mr1bqxUKhEaGor4+HjDMr1ej/j4eERFRZW6TlRUlNF4ANi+fft9xxMREZFlKffHNMOGDUNsbCzCwsIQERGBWbNmIS8vD3369AEA9OrVCzVq1MDUqVMBAEOGDEHr1q0xY8YMtG/fHuvWrUNCQgIWLVpUsa+EiIiIzFK5y0jnzp1x/fp1jBkzBqmpqQgODsa2bdsMB6mmpKRALv93h0vLli2xZs0ajBo1Cp988gnq16+PTZs2mdUcI0RERFR5yj3PiBQqa54RIiIiqjxlff/mEZxEREQkKZYRIiIikhTLCBEREUmKZYSIiIgkxTJCREREkmIZISIiIkmxjBAREZGkWEaIiIhIUiwjREREJKlyTwcvhTuTxGo0GomTEBERUVnded9+2GTvZlFGcnJyAAB+fn4SJyEiIqLyysnJgZOT033vN4tr0+j1ely9ehUODg6QyWQV9rgajQZ+fn64dOkSr3nzGLgdKwa3Y8XgdqwY3I4Vw9K3oxACOTk58PX1NbqI7n+ZxZ4RuVyOmjVrVtrjOzo6WuRfkorG7VgxuB0rBrdjxeB2rBiWvB0ftEfkDh7ASkRERJJiGSEiIiJJWXQZUalUGDt2LFQqldRRzBq3Y8XgdqwY3I4Vg9uxYnA7lo1ZHMBKRERE1ZdF7xkhIiIi6bGMEBERkaRYRoiIiEhSLCNEREQkKYsuI/PmzUNAQADUajUiIyOxb98+qSOZtKlTpyI8PBwODg7w9PREhw4dcOrUKaMxBQUFiIuLg5ubG+zt7fHGG28gLS1NosSmb9q0aZDJZBg6dKhhGbdh2Vy5cgU9evSAm5sbbGxs0LRpUyQkJBjuF0JgzJgx8PHxgY2NDaKjo3HmzBkJE5senU6H0aNHo3bt2rCxsUHdunUxceJEo+uIcDuW7q+//kJMTAx8fX0hk8mwadMmo/vLst2ysrLQvXt3ODo6wtnZGW+//TZyc3Or8FWYEGGh1q1bJ5RKpVi2bJk4duyY6Nevn3B2dhZpaWlSRzNZbdq0EcuXLxdHjx4VBw8eFC+99JLw9/cXubm5hjH9+/cXfn5+Ij4+XiQkJIgWLVqIli1bSpjadO3bt08EBASIZs2aiSFDhhiWcxs+XFZWlqhVq5bo3bu32Lt3rzh//rz45ZdfxNmzZw1jpk2bJpycnMSmTZvEoUOHxCuvvCJq164tbt26JWFy0zJ58mTh5uYmNm/eLJKTk8W3334r7O3txRdffGEYw+1Yui1btoiRI0eKDRs2CABi48aNRveXZbu1bdtWBAUFiT179oidO3eKevXqia5du1bxKzENFltGIiIiRFxcnOF7nU4nfH19xdSpUyVMZV7S09MFAPHnn38KIYS4efOmsLa2Ft9++61hzIkTJwQAsXv3bqlimqScnBxRv359sX37dtG6dWtDGeE2LJuPP/5YPPnkk/e9X6/XC29vbzF9+nTDsps3bwqVSiXWrl1bFRHNQvv27cVbb71ltOz1118X3bt3F0JwO5bVf8tIWbbb8ePHBQCxf/9+w5itW7cKmUwmrly5UmXZTYVFfkyj1WqRmJiI6OhowzK5XI7o6Gjs3r1bwmTmJTs7GwDg6uoKAEhMTERRUZHRdm3YsCH8/f25Xf8jLi4O7du3N9pWALdhWf34448ICwtDx44d4enpiZCQECxevNhwf3JyMlJTU422o5OTEyIjI7kd79KyZUvEx8fj9OnTAIBDhw5h165daNeuHQBux0dVlu22e/duODs7IywszDAmOjoacrkce/furfLMUjOLC+VVtIyMDOh0Onh5eRkt9/LywsmTJyVKZV70ej2GDh2KVq1aITAwEACQmpoKpVIJZ2dno7FeXl5ITU2VIKVpWrduHZKSkrB///577uM2LJvz589jwYIFGDZsGD755BPs378fgwcPhlKpRGxsrGFblfZvnNvxX8OHD4dGo0HDhg2hUCig0+kwefJkdO/eHQC4HR9RWbZbamoqPD09je63srKCq6urRW5biywj9Pji4uJw9OhR7Nq1S+ooZuXSpUsYMmQItm/fDrVaLXUcs6XX6xEWFoYpU6YAAEJCQnD06FEsXLgQsbGxEqczH9988w1Wr16NNWvWoEmTJjh48CCGDh0KX19fbkeqUhb5MY27uzsUCsU9ZyikpaXB29tbolTmY+DAgdi8eTP++OMP1KxZ07Dc29sbWq0WN2/eNBrP7fqvxMREpKeno3nz5rCysoKVlRX+/PNPzJ49G1ZWVvDy8uI2LAMfHx80btzYaFmjRo2QkpICAIZtxX/jD/bhhx9i+PDh6NKlC5o2bYqePXvi/fffx9SpUwFwOz6qsmw3b29vpKenG91fXFyMrKwsi9y2FllGlEolQkNDER8fb1im1+sRHx+PqKgoCZOZNiEEBg4ciI0bN+L3339H7dq1je4PDQ2FtbW10XY9deoUUlJSuF1ve/7553HkyBEcPHjQcAsLC0P37t0NX3MbPlyrVq3uOa389OnTqFWrFgCgdu3a8Pb2NtqOGo0Ge/fu5Xa8S35+PuRy47cBhUIBvV4PgNvxUZVlu0VFReHmzZtITEw0jPn999+h1+sRGRlZ5ZklJ/URtFJZt26dUKlUYsWKFeL48ePinXfeEc7OziI1NVXqaCbrvffeE05OTmLHjh3i2rVrhlt+fr5hTP/+/YW/v7/4/fffRUJCgoiKihJRUVESpjZ9d59NIwS3YVns27dPWFlZicmTJ4szZ86I1atXC1tbW7Fq1SrDmGnTpglnZ2fxww8/iMOHD4tXX32Vp6T+R2xsrKhRo4bh1N4NGzYId3d38dFHHxnGcDuWLicnRxw4cEAcOHBAABAzZ84UBw4cEBcvXhRClG27tW3bVoSEhIi9e/eKXbt2ifr16/PUXks0Z84c4e/vL5RKpYiIiBB79uyROpJJA1Dqbfny5YYxt27dEgMGDBAuLi7C1tZWvPbaa+LatWvShTYD/y0j3IZl89NPP4nAwEChUqlEw4YNxaJFi4zu1+v1YvTo0cLLy0uoVCrx/PPPi1OnTkmU1jRpNBoxZMgQ4e/vL9RqtahTp44YOXKkKCwsNIzhdizdH3/8Uervw9jYWCFE2bZbZmam6Nq1q7C3txeOjo6iT58+IicnR4JXIz2ZEHdNtUdERERUxSzymBEiIiIyHSwjREREJCmWESIiIpIUywgRERFJimWEiIiIJMUyQkRERJJiGSEiIiJJsYwQERGRpFhGiKhS9e7dGzKZDNOmTTNavmnTJshkMgBAQUEBevfujaZNm8LKygodOnSQICkRSYVlhIgqnVqtxqeffoobN26Uer9Op4ONjQ0GDx6M6OjoKk5HRFJjGSGiShcdHQ1vb2/Dpen/y87ODgsWLEC/fv0s8vLpRJaOZYSIKp1CocCUKVMwZ84cXL58Weo4RGRiWEaIqEq89tprCA4OxtixY6WOQkQmhmWEiKrMp59+iq+++gonTpyQOgoRmRCWESKqMk8//TTatGmDESNGSB2FiEyIldQBiMiyTJs2DcHBwWjQoIHUUYjIRLCMEFGVatq0Kbp3747Zs2cbLT9+/Di0Wi2ysrKQk5ODgwcPAgCCg4OrPiQRVSmZEEJIHYKIqq/evXvj5s2b2LRpk2HZhQsX0KBBA2i1Wtz5FRQQEICLFy/esz5/RRFVfywjREREJCkewEpERESSYhkhIiIiSbGMEBERkaRYRoiIiEhSLCNEREQkKZYRIiIikhTLCBEREUmKZYSIiIgkxTJCREREkmIZISIiIkmxjBAREZGkWEaIiIhIUv8PmnEEx+e0g88AAAAASUVORK5CYII=",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
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{
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"data": {
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"image/png": 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XNnLkSDz22GNITk5GQUEBZs6cqXvts88+Q8+ePRESEnLXsUaMGIEvvviiXuomIqLbbpSWY9+5XElrMDiMzJ07F6NGjUJUVBR8fX2xZMkSWFpaYtWqVZX237dvH3r27InBgwfDy8sLTz75JAYNGnTfsymNmaurq26zs7ODTCbTa7O2ttb1TUpKQnBwMCwtLdGjRw+kpqbqXvvwww/h7++PFStWwNvbG+bm5gAqP7Ph7++vO+MihMCHH34IT09PKJVKuLm54c033wQAPPLII7h48SLeeust3ZmaqmzevBlPPPGE7n0B4OTJkxg1ahTat2+PQYMG4eTJkwCA8+fPY+XKlZgxY0alx+rfvz8SExNx7ty56g8kERE9kIy8Yry4aB9GrD6IlIx8yeowKIyo1WokJSUhPDz89gHkcoSHhyM+Pr7SfXr06IGkpCRd+Dh//jx+/vlnPP3001W+T2lpKVQqld5WXUIIFKvLJdmEENWus7omT56Mzz77DImJiTAxMcGrr76q9/rZs2fx7bffYuvWrUhJSanWMb/99lv83//9H5YuXYozZ85g+/bt6NKlCwBg69ataNmyJaZPn647U1OVPXv2IDg4WK/Nz88PO3fuRHl5OeLi4tC1a1cAwBtvvIFPP/0UNjY2lR7L09MTLi4u2LNnT7U+AxERPZgD56/h2QV7kZpVCDsLaddvMmjRs9zcXGg0Gri4uOi1u7i44NSpU5XuM3jwYOTm5uKhhx6CEALl5eV444037nmZJjY2FtOmTTOkNJ2bZRr4Tvm1Rvs+qBPT+8DSrHbXkZsxYwZ69+4NAJg0aRL69euHkpIS3dkItVqNL7/8Es2bN6/2MdPT0+Hq6orw8HCYmprC09NTd+nE0dERCoUCNjY2cHV1vedxLl68CDc3N722FStWYMyYMZgzZw569uyJmJgYrFu3DpaWlujWrRv69OmDc+fOYeDAgfj444/19nVzc8PFixer/TmIiKhmNiWk44Ptx1CuFejibodlw4PQws5Csnrq/G6a3bt3Y+bMmVi0aBGSk5OxdetW/PTTT/joo4+q3CcmJgYFBQW6LSMjo67LNFq3ziwAQIsWLQBAb35Oq1atDAoiAPDyyy/j5s2baN26NUaNGoVt27ahvLzc4Npu3rypd4kGADp16oQ///wTFy9exMaNG1FWVoapU6diwYIFGD9+PHr06IHDhw9j69at+OGHH/T2tbCwQHFxscF1EBFR9ZRrtPjw++OI2XoU5VqBZ7q2wFf/CZM0iAAGnhlxcnKCQqFAVlaWXntWVlaV/4r+4IMPMGzYMIwcORIA0KVLFxQVFeH111/H5MmTK32WjFKphFKpNKQ0HQtTBU5M71OjfR+Uhami1o9559Lnt+Zv3HkLrJWV1V37yOXyuy4ZlZWV6f7bw8MDqamp+P3337Fz506MGTMGs2fPxp9//mnQUutOTk64fv36PftER0dj4sSJaNmyJXbv3o2PP/4YVlZW6NevH3bv3o3+/fvr+ubl5RkcrIiIqHoKisswblMy9pypmKz63yfaY9xjbY1iUUmDwoiZmRmCgoIQFxeHAQMGAKj4xRgXF4dx48ZVuk9xcfFdgePWbaB1McdCJpPV+qWShqZ58+Z6cz1UKhUuXLig18fCwgL9+/dH//79MXbsWHTo0AFHjx5FYGAgzMzMqrVuSEBAAE6cOFHl63FxcTh58iRWr14NoGIp91uh6M5wBAAlJSU4d+4cAgICqv05iYioes7l3MDItYm4kFsEC1MF/i/CD307t5C6LB2DL9NER0dj+fLlWLt2LU6ePInRo0ejqKgIUVFRAIDhw4cjJiZG179///5YvHgxNm/ejAsXLmDnzp344IMP0L9/f10oodr12GOPYd26ddizZw+OHj2KyMhIvbFes2YNVq5ciWPHjuH8+fNYv349LCws0KpVKwAVd+P89ddfuHz5MnJzq77dq0+fPti7d2+lr5WUlGDcuHFYtmyZLoz27NkTCxcuxOHDh/Htt9+iZ8+euv779++HUqlEWFhYbQwBERH948/TORiw8G9cyC2Cu70FvhkdZlRBBKjBU3sjIiKQk5ODKVOmIDMzE/7+/tixY4duUmt6erremZD3338fMpkM77//Pi5fvozmzZujf//+Vd7iSQ8uJiYGFy5cwDPPPAM7Ozt89NFHemdG7O3tMWvWLERHR0Oj0aBLly744Ycf0KxZMwDA9OnT8Z///Adt2rRBaWlplWewhgwZgnfeeQepqanw8fHRe23atGno168f/P39dW1ffPEFBg8ejIcffhhDhgzRW59k06ZNGDJkCJ+8TERUS4QQWP13Gj7+6QS0Aghu5YAlw4LgZF2zaRB1SSbq4lpJLVOpVLCzs0NBQQFsbW31XispKcGFCxf01tmg+vP2229DpVJh6dKlNT5Gbm4ufHx8kJiYCG9v70r78M+ZiKj61OVafLD9GLYkVtwA8nJQS3z8fGcoTer3isS9fn/fic+moQcyefJktGrV6oGeK5OWloZFixZVGUSIiKj6cm+UYsiK/diSmAG5DHi/X0d8+lLXeg8ihmjaMz3pgdnb2z/w0v7BwcF3LZ5GRESGO3lVhZFrE3E5/yZslCb4YnAAHvVxlrqs+2IYISIiagR+PZ6Jt7akoFitgVczS6yIDEZb58pXvTY2DCNEREQNmBACi3afw+xfK55d1rNtMywcHAh7SzOJK6u+RhNGGsA8XHoA/PMlIrpbSZkG73xzBN8fvgIAiAxrhfef8YWpomFNCW3wYeTW+hlqtRoWFtIuZ0t1R61WAwDXpiEi+kdmQQleX5eII5cKYCKXYdpznTAktJXUZdVIgw8jJiYmsLS0RE5ODkxNTStdXp4aNq1Wi5ycHFhaWsLEpMH/L0tE9MBSMvLx+peJyC4shb2lKRYPCUJYm2ZSl1VjDf4nu0wmQ4sWLXDhwgU+8bURk8vl8PT0NIpnKBARSem7lMt455sjKC3Xor2LNVYM7wbPZg17wcgGH0aAimfmtGvXTncqnxofMzMznvUioiZv44F0vLftKADg8Q7OmDfQHzbm1X/AqbFqFGEEqPiXM1fmJCKixur3E1l4f3tFEHm1pzcm9+sIhbxxnC1uNGGEiIiosTqUfh3jNiVDKyqWdv/gmY6N6rI1z3sTEREZsQu5RXhtbSJKyrTo3b45Zr7QpVEFEYBhhIiIyGjlFJYiclUC8orU6OJuh0VDAhvcGiLV0fg+ERERUSNQVFqO19YeRHpeMTwdLbFqRDdYKRvn7AqGESIiIiNTptFi7MZkHLlUAAdLU6yJ6obmNkqpy6ozDCNERERGRAiByduOYndqDsxN5Vg5ohtaN7eWuqw6xTBCRERkROb9fgZfJV6CXAYsGBSIQE8HqUuqcwwjRERERmJzQjo+jzsDAPhoQGeE+7pIXFH9YBghIiIyAn+cysLk7ccAAOMfa9tgH3pXEwwjREREEjuckY+xGw5BoxV4Kaglop9oL3VJ9YphhIiISEJpuUV4dc1B3CzT4OH2zRHbCBc1ux+GESIiIonk3ihF5OoEXCtSo7O7LRY30kXN7qfpfWIiIiIjUKwux2trDuLitWJ4OFo06kXN7odhhIiIqJ6Va7QYt/EQDv+zqNnaqBA42zTdJ88zjBAREdUjIQTe334Mf5zKhtJEjhWRjX9Rs/thGCEiIqpHX8SdxeaDGZDLgPmDAhDUqvEvanY/DCNERET15KuDGfi/308DAKY/1xlPdnKVuCLjwDBCRERUD3adykbMtqMAgLGPtsHQ7k1nUbP7YRghIiKqY0cu5WPMhmRotAIvBLrjf0/6SF2SUWEYISIiqkMXr91e1KxXOyd88mLXJreo2f0wjBAREdWRazdKEbkqAbk31OjkZovFQ4Oa5KJm91OjEVm4cCG8vLxgbm6O0NBQJCQkVNn3kUcegUwmu2vr169fjYsmIiIydiVlGoz6MhFp14rR0sECq6O6wbqJLmp2PwaHkS1btiA6OhpTp05FcnIy/Pz80KdPH2RnZ1faf+vWrbh69apuO3bsGBQKBV5++eUHLp6IiMgYCSEwedsxJKfnw87CFGtfbdqLmt2PwWFk7ty5GDVqFKKiouDr64slS5bA0tISq1atqrS/o6MjXF1dddvOnTthaWnJMEJERI3Wyr0X8G3yJSjkMiwaEog2TXxRs/sxKIyo1WokJSUhPDz89gHkcoSHhyM+Pr5ax1i5ciUGDhwIKyurKvuUlpZCpVLpbURERA3B7tRszPz5JADgg34d0bOtk8QVGT+Dwkhubi40Gg1cXFz02l1cXJCZmXnf/RMSEnDs2DGMHDnynv1iY2NhZ2en2zw8PAwpk4iISBLncm5g/KZD0ApgYDcPRPbwkrqkBqFep/SuXLkSXbp0QUhIyD37xcTEoKCgQLdlZGTUU4VEREQ1U1BchlFrE1FYUo5uXg6Y/lxn3sJbTQZN63VycoJCoUBWVpZee1ZWFlxd772kbVFRETZv3ozp06ff932USiWUSqUhpREREUmmXKPF+M2HcD63CO72Flg8NAhmJryFt7oMGikzMzMEBQUhLi5O16bVahEXF4ewsLB77vv111+jtLQUQ4cOrVmlRERERmrWL6fw1+kcWJgqsGx4EJys+Q9qQxh8w3N0dDQiIyMRHByMkJAQzJs3D0VFRYiKigIADB8+HO7u7oiNjdXbb+XKlRgwYACaNWtWO5UTEREZga8TM7Bi7wUAwNxX/NDJzU7iihoeg8NIREQEcnJyMGXKFGRmZsLf3x87duzQTWpNT0+HXK5/wiU1NRV79+7Fb7/9VjtVExERGYGki3mYvO0YAGDC4+3wVJcWElfUMMmEEELqIu5HpVLBzs4OBQUFsLW1lbocIiIiXMm/iWcX/I3cG6Xo28kVi4YEQi7nhNU7Vff3N2fXEBERGeimWoPX1yUi90YpOrja4LNX/BhEHgDDCBERkQGEEHj7m8M4dlmFZlZmWBEZDCs+c+aBMIwQEREZYOGus/jxyFWYyGVYPDQILR0spS6pwWMYISIiqqbfjmdizm+nAQAfDeiMEG9HiStqHBhGiIiIquFUpgpvbUkBAESGtcKgEE9pC2pEGEaIiIjuI69IjZFrE1Gk1qBHm2Z4/xlfqUtqVBhGiIiI7qFMo8Xo9Um4dP0mWjWzxMLBgTBV8NdnbeJoEhER3cO0H47jwIU8WCtNsHx4MByszKQuqdFhGCEiIqrCuv0XsX5/OmQyYF6EP9q72EhdUqPEMEJERFSJ+HPXMO374wCAt/v4INzXReKKGi+GESIion9Jv1aMMRuSUK4VeNbPDaN7t5G6pEaNYYSIiOgON0rLMerLRFwvLkMXdzt8+lJXyGRc6r0uMYwQERH9Q6sVeGtLClKzCtHcRonlw4NhbqqQuqxGj2GEiIjoH3N3nsbOE1kwM5Fj2bAguNqZS11Sk8AwQkREBOCnI1exYNdZAEDs810Q4OkgcUVNB8MIERE1eSevqvC/rw8DAEb18saLQS0lrqhpYRghIqImLb9YjdfXJeJmmQYPtXXCu307SF1Sk8MwQkRETZZGKzB+0yFk5N2Eh6MF5g8KgAmXeq93HHEiImqyPv31FPacyYW5qRxLh3Kpd6kwjBARUZP0/eErWPrneQDA7Jf84OtmK3FFTRfDCBERNTknrqjwzjcVE1b/07s1+vu5SVxR08YwQkRETcr1oooJqyVlWvRq54R3+nDCqtQYRoiIqMko12gxftMhXLp+E56Olpg/KAAKOZd6lxrDCBERNRmf/pqKvWdzYWGqwLLhQbC35IRVY8AwQkRETcJ3KZex7K9/Jqy+3BUdXDlh1VgwjBARUaN3/EoB3v32CABg9CNt8ExXTlg1JgwjRETUqOUVqfH6l0koKdOid/vm+N+TPlKXRP/CMEJERI1WuUaLcRuTcTn/Jlo1s8QXAzlh1RgxjBARUaM165dT2HfuGizNFFg2LBh2lqZSl0SVYBghIqJG6buUy1ix9wIAYM7LfvBxtZG4IqpKjcLIwoUL4eXlBXNzc4SGhiIhIeGe/fPz8zF27Fi0aNECSqUS7du3x88//1yjgomIiO7n2OUCvPNNxYTVMY+0wdNdWkhcEd2LiaE7bNmyBdHR0ViyZAlCQ0Mxb9489OnTB6mpqXB2dr6rv1qtxhNPPAFnZ2d88803cHd3x8WLF2Fvb18b9RMREenJK1LjP+uSUFquxSM+zfFfTlg1ejIhhDBkh9DQUHTr1g0LFiwAAGi1Wnh4eGD8+PGYNGnSXf2XLFmC2bNn49SpUzA1rdm1OpVKBTs7OxQUFMDWlveFExFR5co1WgxbmYD489fg1cwS3417CHYWnCciler+/jboMo1arUZSUhLCw8NvH0AuR3h4OOLj4yvd5/vvv0dYWBjGjh0LFxcXdO7cGTNnzoRGozHkrYmIiO5r5s+nEH/+GqzMFFg2PJhBpIEw6DJNbm4uNBoNXFxc9NpdXFxw6tSpSvc5f/48/vjjDwwZMgQ///wzzp49izFjxqCsrAxTp06tdJ/S0lKUlpbqvlepVIaUSURETdDW5EtY9XfFhNXPXvFDexdOWG0o6vxuGq1WC2dnZyxbtgxBQUGIiIjA5MmTsWTJkir3iY2NhZ2dnW7z8PCo6zKJiKgBO3a5ADFbjwIAxj3aFn07c8JqQ2JQGHFycoJCoUBWVpZee1ZWFlxdXSvdp0WLFmjfvj0UCoWurWPHjsjMzIRara50n5iYGBQUFOi2jIwMQ8okIqIm5NqNUt2E1Ud9muOtJ9pLXRIZyKAwYmZmhqCgIMTFxenatFot4uLiEBYWVuk+PXv2xNmzZ6HVanVtp0+fRosWLWBmVvnTEpVKJWxtbfU2IiKifyvTaDH2nxVWvZ2sMI8rrDZIBl+miY6OxvLly7F27VqcPHkSo0ePRlFREaKiogAAw4cPR0xMjK7/6NGjkZeXhwkTJuD06dP46aefMHPmTIwdO7b2PgURETVJM38+if3n8yomrA4L4oTVBsrgdUYiIiKQk5ODKVOmIDMzE/7+/tixY4duUmt6ejrk8tsZx8PDA7/++iveeustdO3aFe7u7pgwYQLefffd2vsURETU5GxNvoTVf6cBAOZG+KMdJ6w2WAavMyIFrjNCRER3OnIpHy8tiYe6XIs3H2uLaC5sZpTqZJ0RIiIiqeUUVkxYVZdr8XgHZ0wM54TVho5hhIiIGowyjRZjNyTjakEJWje3wv8N9IecE1YbPIYRIiJqMD768QQS0vJgrTTBsmHBsDXnhNXGgGGEiIgahK8OZuDL+IsAgHkR/mjrbC1xRVRbGEaIiMjoHUq/jve3HwMAvBXeHuG+LvfZgxoShhEiIjJq2aoSvLE+CWqNFk/6umD8Y22lLolqGcMIEREZLXW5FqM3JCNLVYp2ztaYG8EJq40RwwgRERmtD384jqSL12FjboJlw4NhrTR4rU5qABhGiIjIKG04cBEbD6RDJgO+GBgAbycrqUuiOsIwQkRERicxLQ8ffn8cAPC/J33waAdniSuiusQwQkRERiWzoASjNySjTCPwdBdXjHmkjdQlUR1jGCEiIqNRUqbBf9YnIaewFD4uNpj9kh9kMk5YbewYRoiIyCgIITDlu2M4nJEPOwtTLBseBCtOWG0SGEaIiMgorN9/EV8lXoJcBswfFIBWzThhtalgGCEiIskdOH8N0344AQB4t28HPNy+ucQVUX1iGCEiIkldyb+JMRuSUa4V6O/nhtcfbi11SVTPGEaIiEgyJWUa/GddEq4VqdGxhS0+fbErJ6w2QQwjREQkCSEE3tt2FEcvF8DB0hTLhgXBwkwhdVkkAYYRIiKSxOq/07A1+TIUchkWDA6Eh6Ol1CWRRBhGiIio3u07l4sZP58EAMQ81QE92zpJXBFJiWGEiIjqVUZeMcZuSIZGK/B8gDtee8hb6pJIYgwjRERUb26qKyasXi8uQ2d3W8S+0IUTVolhhIiI6ocQAu9+ewQnrqrQzMoMS4cFw9yUE1aJYYSIiOrJij0X8P3hK1DIZVg4JBDu9hZSl0RGgmGEiIjq3J4zOYj9pWLC6pRnfNG9dTOJKyJjwjBCRER16kJuEcZuSIZWAC8FtcTwsFZSl0RGhmGEiIjqjKqkDCPXHoSqpBwBnvaY8XxnTliluzCMEBFRndBoBSZuTsG5nCK42ppj6dAgKE04YZXuxjBCRER1YvavqfjjVDaUJnIsGx4EZ1tzqUsiI8UwQkREte67lMtY8uc5AMCnL3VF15b20hZERo1hhIiIatXhjHy8880RAMAbvdvgOX93iSsiY1ejMLJw4UJ4eXnB3NwcoaGhSEhIqLLvmjVrIJPJ9DZzc56qIyJqjLJVJXh9XSJKy7V4rIMz3u7jI3VJ1AAYHEa2bNmC6OhoTJ06FcnJyfDz80OfPn2QnZ1d5T62tra4evWqbrt48eIDFU1ERManpEyD19clIUtVirbO1vh8oD8Uct45Q/dncBiZO3cuRo0ahaioKPj6+mLJkiWwtLTEqlWrqtxHJpPB1dVVt7m4uDxQ0UREZFyEEJi87RhSMvJha26C5cODYWNuKnVZ1EAYFEbUajWSkpIQHh5++wByOcLDwxEfH1/lfjdu3ECrVq3g4eGB5557DsePH695xUREZHRW7r2Ab5MvQS4DFg4JhLeTldQlUQNiUBjJzc2FRqO568yGi4sLMjMzK93Hx8cHq1atwnfffYf169dDq9WiR48euHTpUpXvU1paCpVKpbcREZFx+vN0Dmb+XLHU++R+vujVrrnEFVFDU+d304SFhWH48OHw9/dH7969sXXrVjRv3hxLly6tcp/Y2FjY2dnpNg8Pj7ouk4iIauB8zg2M31ix1PvLQS3xak8vqUuiBsigMOLk5ASFQoGsrCy99qysLLi6ulbrGKampggICMDZs2er7BMTE4OCggLdlpGRYUiZRERUD1QlZRj5ZSJUJeUI9LTHx1zqnWrIoDBiZmaGoKAgxMXF6dq0Wi3i4uIQFhZWrWNoNBocPXoULVq0qLKPUqmEra2t3kZERMZDoxWYsOkQzucUoYWdOZYM41LvVHMmhu4QHR2NyMhIBAcHIyQkBPPmzUNRURGioqIAAMOHD4e7uztiY2MBANOnT0f37t3Rtm1b5OfnY/bs2bh48SJGjhxZu5+EiIjqzae/nsKu1JyKpd6HBcPZhutHUc0ZHEYiIiKQk5ODKVOmIDMzE/7+/tixY4duUmt6ejrk8tsnXK5fv45Ro0YhMzMTDg4OCAoKwr59++Dr61t7n4KIiOrN9kOXsfTP8wAqlnrv0tJO4oqooZMJIYTURdyPSqWCnZ0dCgoKeMmGiEhChzPy8fLSeKjLtRj9SBu827eD1CWREavu728+m4aIiKrl1lLv6nItHu/gjP89yaXeqXYwjBAR0X39e6n3eVzqnWoRwwgREd2TEALvbTuKlIx82FmYYgWXeqdaxjBCRET3tHLvBWxNvgy5DFgwOABeXOqdahnDCBERVenOpd7f51LvVEcYRoiIqFLnc25g3D9Lvb8S3BJRXOqd6gjDCBER3eXWUu+FJeUIauWAjwZwqXeqOwwjRESkp1yjxZt3LPW+eGggl3qnOsUwQkREej7+6SR2p+bA3JRLvVP9YBghIiKddfFpWLMvDQAw9xV/LvVO9YJhhIiIAAB7zuTgwx9OAADe7uODp7tU/XR1otrEMEJERDibXYgxG5Kh0Qq8EOCOMY+0kbokakIYRoiImri8IjVeXVNx50xwKwfEvtiFd85QvWIYISJqwkrLNXhjXRLS84rh4WiBpcOCeOcM1TuGESKiJkoIgfe2HkNCWh5slCZYFdkNzayVUpdFTRDDCBFRE7X4z3P4NvkSFHIZFgwJRDsXG6lLoiaKYYSIqAnacewqPt2RCgD4sL8verfnM2dIOgwjRERNzNFLBZi4JQUAMKKHF4aFeUlaDxHDCBFRE5JZUIKRXx5ESZkWvds3x/v9OkpdEhHDCBFRU1GsLsdraw8iS1WKds7WmD84ACYK/hog6fH/QiKiJkCrFZi4OQXHr6jgaGWGVSO6wdbcVOqyiAAwjBARNQmzf0vFbyeyYKaQY9mwIHg4WkpdEpEOwwgRUSP3dWIGFu8+BwD45KUuCPZylLgiIn0MI0REjdiB89fw3rajAIDxj7XF8wEtJa6I6G4MI0REjVRabhH+sz4JZRqBfl1a4K3w9lKXRFQphhEiokaooLgMr649iPziMvi1tMOcl/0gl/Phd2ScGEaIiBqZMo0WYzcm43xOEVrYmWP58GBYmPHhd2S8GEaIiBoRIQSmfn8ce8/mwtJMgRWRwXC2NZe6LKJ7YhghImpEVv+dho0H0iGTAZ8PDEAnNzupSyK6L4YRIqJGYtepbHz80wkAwHtPdcQTvi4SV0RUPQwjRESNwKlMFcZvOgStAAZ288DIXt5Sl0RUbTUKIwsXLoSXlxfMzc0RGhqKhISEau23efNmyGQyDBgwoCZvS0RElcgpLMVraxJxo7QcYa2bYfpznSGT8c4ZajgMDiNbtmxBdHQ0pk6diuTkZPj5+aFPnz7Izs6+535paWn43//+h169etW4WCIi0nfr4XeX82/C28kKi4cGwsyEJ72pYTH4/9i5c+di1KhRiIqKgq+vL5YsWQJLS0usWrWqyn00Gg2GDBmCadOmoXXr1g9UMBERVSjXaDFu4yEcuVSge/idvaWZ1GURGcygMKJWq5GUlITw8PDbB5DLER4ejvj4+Cr3mz59OpydnfHaa69V631KS0uhUqn0NiIiuk0IgSnfH8cfp7KhNJFjRWQwvJ2spC6LqEYMCiO5ubnQaDRwcdGfoe3i4oLMzMxK99m7dy9WrlyJ5cuXV/t9YmNjYWdnp9s8PDwMKZOIqNFb/Oc5vVt4Az0dpC6JqMbq9MJiYWEhhg0bhuXLl8PJyana+8XExKCgoEC3ZWRk1GGVREQNy3cpl/HpjlQAwNRnfNG3s6vEFRE9GBNDOjs5OUGhUCArK0uvPSsrC66ud/9lOHfuHNLS0tC/f39dm1arrXhjExOkpqaiTZs2d+2nVCqhVCoNKY2IqEnYdy4X//v6MABg5EPeGNGTt/BSw2fQmREzMzMEBQUhLi5O16bVahEXF4ewsLC7+nfo0AFHjx5FSkqKbnv22Wfx6KOPIiUlhZdfiIgMcDqrEP9Zd/spvO893VHqkohqhUFnRgAgOjoakZGRCA4ORkhICObNm4eioiJERUUBAIYPHw53d3fExsbC3NwcnTt31tvf3t4eAO5qJyKiqmWpSjBiVQIKS8oR3MoBn73Cp/BS42FwGImIiEBOTg6mTJmCzMxM+Pv7Y8eOHbpJrenp6ZDLeY87EVFtuVFajqjVB3GloAStm1th+fBgmJvyKbzUeMiEEELqIu5HpVLBzs4OBQUFsLW1lbocIqJ6U6bR4tU1B7HnTC6crM2wbUxPeDhaSl0WUbVU9/c3T2EQERkpIQQmbzuKPWdyYWGqwKoR3RhEqFFiGCEiMlJfxJ3FV4mXIJcBCwYHoGtLe6lLIqoTDCNEREbo68QM/N/vpwEA05/rjMc7utxnD6KGi2GEiMjI7DmTg5itRwEAox9pg6HdW0lcEVHdYhghIjIiJ66oMHp9Msq1As/6ueHtJ32kLomozjGMEBEZiSv5NxG1JgE3SsvRvbUjZr/clWuJUJPAMEJEZAQKbpYhavVBZKlK0c7ZGkuHBkNpwrVEqGlgGCEikpi6XIvR65OQmlWI5jZKrI7qBjtLU6nLIqo3DCNERBISQmDSt0ew79w1WJkpsHpEN7R04Foi1LQwjBARSeiz305j66HLUMhlWDQ0CJ3d7aQuiajeMYwQEUlkU0I6Fuw6CwCY+Xxn9G7fXOKKiKTBMEJEJIFdqdl4f/sxAMCbj7VFRDdPiSsikg7DCBFRPTt2uQBjNyRDoxV4MbAl3nqivdQlEUmKYYSIqB5dyC3CiNUJKFZr8FBbJ8S+0AUyGdcSoaaNYYSIqJ5kqUowbOUB5N5Qo2MLWywaGggzE/4YJuLfAiKiepBfrMbwlQm4dP0mvJpZ4stXQ2BrzrVEiACGESKiOlesLseraw4iNasQzjZKrHstFM1tlFKXRWQ0GEaIiOpQxeqqyUhOz4etuQnWvRYKD0cuakZ0J4YRIqI6otUK/Pfrw/jzdA4sTBVYHRUCH1cbqcsiMjoMI0REdUAIgQ9/OI4fDl+BiVyGxUMDEdTKQeqyiIwSwwgRUR2Y9/sZfBl/ETIZ8NkrfnjEx1nqkoiMFsMIEVEtW/P3BXwedwYAMP3ZTnjO313iioiMG8MIEVEt+i7lMj784QQA4K3w9hgW5iVtQUQNAMMIEVEt2ZWajf9+dRgAMKKHF958vK3EFRE1DAwjRES1IOliHkavT0K5VuA5fzdMecaXy7wTVRPDCBHRAzqVqULU6oMoKdPiEZ/mmPOyH+RyBhGi6mIYISJ6AOnXijF8ZQJUJeUIbuWAxUOCYKrgj1YiQ/BvDBFRDWUXlmDYqgPILixFB1cbrIzsBgszhdRlETU4DCNERDVQcLMMkasO4uK1Yng4WmDtqyGws+SD74hqgmGEiMhAN9UajFx7ECevquBkrcS6V0PhYmsudVlEDRbDCBGRAco0WozbmIyDaddhY26CL18NgZeTldRlETVoNQojCxcuhJeXF8zNzREaGoqEhIQq+27duhXBwcGwt7eHlZUV/P39sW7duhoXTEQkFa1W4J1vjiDuVDaUJnKsjOwGXzdbqcsiavAMDiNbtmxBdHQ0pk6diuTkZPj5+aFPnz7Izs6utL+joyMmT56M+Ph4HDlyBFFRUYiKisKvv/76wMUTEdUXIQQ++ukEth26DIVchkVDAhHi7Sh1WUSNgkwIIQzZITQ0FN26dcOCBQsAAFqtFh4eHhg/fjwmTZpUrWMEBgaiX79++Oijj6rVX6VSwc7ODgUFBbC15b9CiKj+LfjjDOb8dhoAMPcVP7wQ2FLiioiMX3V/fxt0ZkStViMpKQnh4eG3DyCXIzw8HPHx8ffdXwiBuLg4pKam4uGHH66yX2lpKVQqld5GRCSV9fsv6oLIlGd8GUSIaplBYSQ3NxcajQYuLi567S4uLsjMzKxyv4KCAlhbW8PMzAz9+vXD/Pnz8cQTT1TZPzY2FnZ2drrNw8PDkDKJiGrNdymX8cF3xwAA4x9ri1cf8pa4IqLGp17uprGxsUFKSgoOHjyIGTNmIDo6Grt3766yf0xMDAoKCnRbRkZGfZRJRKTnpyNX8daWFAgBDO3uiegn2ktdElGjZGJIZycnJygUCmRlZem1Z2VlwdXVtcr95HI52rateHqlv78/Tp48idjYWDzyyCOV9lcqlVAqlYaURkRUq3Ycy8Sbmw9BK4CXg1pi+rOd+eA7ojpi0JkRMzMzBAUFIS4uTtem1WoRFxeHsLCwah9Hq9WitLTUkLcmIqo3cSezMH5TMjRagRcC3DHrxa588B1RHTLozAgAREdHIzIyEsHBwQgJCcG8efNQVFSEqKgoAMDw4cPh7u6O2NhYABXzP4KDg9GmTRuUlpbi559/xrp167B48eLa/SRERLXgz9M5GL0+GWUagf5+bpj9sh8UDCJEdcrgMBIREYGcnBxMmTIFmZmZ8Pf3x44dO3STWtPT0yGX3z7hUlRUhDFjxuDSpUuwsLBAhw4dsH79ekRERNTepyAiqgV/n83F618mQq3R4qnOrpj7CoMIUX0weJ0RKXCdESKqa/vPX8OI1QkoKdMivKMLFg0JhJkJn5hB9CDqZJ0RIqLGKDEtD6+uOYiSMi0e8WmOhUMCGESI6hH/thFRk5aSkY8Rqw+iWK1Br3ZOWDI0CEoThdRlETUpDCNE1GQdvVSAYSsP4EZpObq3dsSyYcEwN2UQIapvDCNE1CSduKLC0JUHUFhSjm5eDlgZ2Q0WZgwiRFJgGCGiJic1sxBDVx5Awc0yBHjaY3VUCKyUBt9cSES1hGGEiJqUs9k3MGTFfuQVqdG1pR3WRIXAmkGESFIMI0TUZFzILcLg5fuRe0MN3xa2+PLVENhZmEpdFlGTxzBCRE1C+rViDF6+H9mFpejgaoP1I0Nhb2kmdVlEBIYRImoCLl0vxqDl+3G1oARtna2xfmQoHK0YRIiMBcMIETVqVwtuYvDyA7icfxOtnaywcWQonKz5VHAiY8IwQkSNVraqBIOXH0B6XjFaNbPExlHd4WxrLnVZRPQvDCNE1CjlFJZi0PL9uJBbhJYOFtg4qjtc7RhEiIwRwwgRNTp5RWoMXXEA53KK0MLOHJtGdYe7vYXUZRFRFRhGiKhRyS+uCCKpWYVwtlFi06ju8HC0lLosIroHhhEiajTyitQYuvIATlxVwclaiY2jusPLyUrqsojoPrjsIBE1CtmqEgxdeQCns26gmZUZNo4KRVtna6nLIqJqYBghogbvcv5NDFm+H2nXiuFiq8SGkd0ZRIgaEIYRImrQ0nKLMGRFxToiLR0ssHFkd3g24xwRooaEYYSIGqwzWYUYsuIAsgtL0drJChtGhaKFHe+aIWpoGEaIqEE6drkAw1clIK9IjQ6uNlj3Wiia23BlVaKGiGGEiBqc5PTriFyVgMKScnRtaYe1USFw4LNmiBoshhEialDiz13DyLUHUaTWILiVA1ZFdYOtuanUZRHRA2AYIaIGY3dqNv6zLgml5Vo81NYJy4YHwdKMP8aIGjr+LSaiBmHHsUyM35SMMo3A4x2csXBIIMxNFVKXRUS1gGGEiIzedymXEf3VYWi0Av26tMC8gf4wVXABaaLGgmGEiIza5oR0xGw7CiGAFwNb4pMXu8CEQYSoUWEYISKjtfrvC5j2wwkAwNDunpj+bGfI5TKJqyKi2sYwQkRGaeGus5j9ayoAYFQvb7z3dEfIZAwiRI0RwwgRGRUhBD777TQW7DoLAJjweDtMDG/HIELUiDGMEJHREELgox9PYtXfFwAAMU91wH96t5G4KiKqawwjRGQUNFqB97cfxaaEDADA9Oc6YXiYl7RFEVG9qNGU9IULF8LLywvm5uYIDQ1FQkJClX2XL1+OXr16wcHBAQ4ODggPD79nfyJqeso1Wvz3qxRsSsiAXAbMfqkrgwhRE2JwGNmyZQuio6MxdepUJCcnw8/PD3369EF2dnal/Xfv3o1BgwZh165diI+Ph4eHB5588klcvnz5gYsnooZPXa7FuI2HsD3lCkzkMnw+MAAvB3tIXRYR1SOZEEIYskNoaCi6deuGBQsWAAC0Wi08PDwwfvx4TJo06b77azQaODg4YMGCBRg+fHi13lOlUsHOzg4FBQWwtbU1pFwiMmI31RqM3pCE3ak5MFPIsXBIIJ7wdZG6LCKqJdX9/W3QmRG1Wo2kpCSEh4ffPoBcjvDwcMTHx1frGMXFxSgrK4Ojo2OVfUpLS6FSqfQ2Impc8orUGLxiP3an5sDcVI6VI4IZRIiaKIPCSG5uLjQaDVxc9H9guLi4IDMzs1rHePfdd+Hm5qYXaP4tNjYWdnZ2us3Dg6dsiRqT9GvFeHHxPhxKz4edhSnWvRaKXu2aS10WEUmkXtdUnjVrFjZv3oxt27bB3Ny8yn4xMTEoKCjQbRkZGfVYJRHVpSOX8vHC4r9xIbcI7vYW+HZ0GLp5VX2mlIgaP4Nu7XVycoJCoUBWVpZee1ZWFlxdXe+575w5czBr1iz8/vvv6Nq16z37KpVKKJVKQ0ojogZgV2o2xm5IRrFag44tbLEmqhtcbKv+hwkRNQ0GnRkxMzNDUFAQ4uLidG1arRZxcXEICwurcr9PP/0UH330EXbs2IHg4OCaV0tEDdaWg+kYuTYRxWoNerVzwlf/6c4gQkQAarDoWXR0NCIjIxEcHIyQkBDMmzcPRUVFiIqKAgAMHz4c7u7uiI2NBQB88sknmDJlCjZu3AgvLy/d3BJra2tYW1vX4kchImMkhMDncWcw7/czAIAXAt0x64WuMDPhk3eJqILBYSQiIgI5OTmYMmUKMjMz4e/vjx07dugmtaanp0Muv/1DZvHixVCr1XjppZf0jjN16lR8+OGHD1Y9ERm1co0W728/hs0HK+Z9jX20Df73pA+fM0NEegxeZ0QKXGeEqOEpKi3HuI3J2JWaA7kMmP5cZwzt3krqsoioHlX39zefTUNEtS6nsBSvrT2II5cKYG4qxxcDA/Bkp3tPcieipothhIhq1fmcGxix+iDS84rhYGmKlSO6IdDTQeqyiMiIMYwQUa1JTr+O19YcxPXiMng4WmBtVAhaN+dEdSK6N4YRIqoVO09kYfymZJSUadG1pR1WRnZDcxuuF0RE98cwQkQPbP3+i5jy3TFoBfCoT3MsGBwIKyV/vBBR9fCnBRHVmBACc35LxcJd5wAAEcEemPF8Z5gouIYIEVUfwwgR1Yi6XItJW49ga/JlAMDE8HaY8Hg7riFCRAZjGCEigxWWlGHMhmTsOZMLhVyGmc93RkQ3T6nLIqIGimGEiAySpSpB1OqDOHFVBQtTBRYNCcSjHZylLouIGjCGESKqtrPZhYhcdRCX82/CydoMq0Z0Q9eW9lKXRUQNHMMIEVXLrtRsvLnxEApLy+HtZIW1USHwbGYpdVlE1AgwjBDRPQkhsOyv85i14xSEAIJbOWDpsCA0s+YaIkRUOxhGiKhKJWUaTPr2CLanXAEADOzmgWnPdYLSRCFxZUTUmDCMEFGlMgtK8Pq6RBy5VACFXIYpz/hieFgr3rpLRLWOYYSI7pKcfh3/WZeEnMJS2FuaYtHgQPRo6yR1WUTUSDGMEJGerxMzMHnbMag1Wvi42GD58GBOVCWiOsUwQkQAgHKNFrG/nMLKvRcAAE/6umBuhD+s+YwZIqpj/ClDRCgoLsO4TRUrqgLAm4+3w8TH20Eu5/wQIqp7DCNETdzZ7EKMXJuItGvFsDBV4LNX/PB0lxZSl0VETQjDCFETFncyCxM2p+BGaTnc7S2wbHgQOrnZSV0WETUxDCNETZAQAot2n8Oc31IhBBDi7YjFQwK5kBkRSYJhhKiJuanW4J1vj+CHwxULmQ0J9cTU/p1gZiKXuDIiaqoYRoiakCv5N/H6ukQcu6yCiVyGqc92wrDuraQui4iaOIYRoiYiMS0Pb6xPQu4NNRytzLBoSCC6t24mdVlERAwjRE3BloPpeH/7MZRpBDq4Vixk5uHIhcyIyDgwjBA1YmUaLWb8dBJr9qUBAJ7q7Io5L/vBiguZEZER4U8kokbq2o1SjN90CPvOXQMAvBXeHuMfa8uFzIjI6DCMEDVCB9PyMH7jIWSqSmBppsDcV/zRt7Or1GUREVWKYYSoEdFqBZb+dR5zfkuFRivQurkVFg8Jgo+rjdSlERFViWGEqJG4XqRG9Fcp2JWaAwB4zt8NM5/vwvkhRGT0+FOKqBFIungd4zcm40pBCcxM5PiwfycMCvGATMb5IURk/Gq05OLChQvh5eUFc3NzhIaGIiEhocq+x48fx4svvggvLy/IZDLMmzevprUS0b8IIbD8r/OIWBqPKwUl8GpmiW1jemBwqCeDCBE1GAaHkS1btiA6OhpTp05FcnIy/Pz80KdPH2RnZ1fav7i4GK1bt8asWbPg6soJdES1paC4DKO+TMKMn0+iXCvQr2sL/DD+IT7ojogaHJkQQhiyQ2hoKLp164YFCxYAALRaLTw8PDB+/HhMmjTpnvt6eXlh4sSJmDhxokFFqlQq2NnZoaCgALa2tgbtS9QYpWTkY+yGZFzOvwkzhRwf9PfFUJ4NISIjU93f3wbNGVGr1UhKSkJMTIyuTS6XIzw8HPHx8TWv9l9KS0tRWlqq+16lUtXasYkaMiEE1uxLw8yfT6JMI+DpaIlFQwLR2Z1nQ4io4TLoMk1ubi40Gg1cXFz02l1cXJCZmVlrRcXGxsLOzk63eXh41NqxiRqqgptlGL0+GdN+OIEyjcBTnV3x45sPMYgQUYNnlM8Mj4mJQUFBgW7LyMiQuiQiSR27XID+8/dix/FMmCpk+LC/LxYNCYStuanUpRERPTCDLtM4OTlBoVAgKytLrz0rK6tWJ6cqlUoolcpaOx5RQyWEwPr9F/HRjyeh1mjR0sECCwYHwt/DXurSiIhqjUFnRszMzBAUFIS4uDhdm1arRVxcHMLCwmq9OKKmrLCkDOM2HcIH3x2HWqPFE74u+Gl8LwYRImp0DF70LDo6GpGRkQgODkZISAjmzZuHoqIiREVFAQCGDx8Od3d3xMbGAqiY9HrixAndf1++fBkpKSmwtrZG27Zta/GjEDUex68UYNzGQ7iQWwQTuQyTnuqA1x7y5t0yRNQoGRxGIiIikJOTgylTpiAzMxP+/v7YsWOHblJreno65PLbJ1yuXLmCgIAA3fdz5szBnDlz0Lt3b+zevfvBPwFRIyKEwKaEDHz4w3Goy7VwszPHgiGBCPR0kLo0IqI6Y/A6I1LgOiPUFBSVluO9bUfxXcoVAMBjHZzx2ct+cLAyk7gyIqKaqZN1RoiobqRk5OOtLSm4kFsEhVyGt/v44PVerSGX87IMETV+DCNEEirXaLFo9zl8HncGGq1ACztzfDEoAN28HKUujYio3jCMEEnk4rUivLUlBcnp+QCAZ7q2wIwBXWBnybVDiKhpYRghqmdCCHyddAnTvj+OIrUGNkoTfDSgM57zd+PdMkTUJDGMENWj60VqxGw9ih3HKx6fEOLtiLmv+KGlg6XElRERSYdhhKie/HU6B//7+jCyC0thqpAh+gkfvP5wayg4SZWImjiGEaI6VlKmwaxfTmHNvjQAQJvmVvh8YAAfcEdE9A+GEaI6dPxKASZuTsGZ7BsAgMiwVpj0VEdYmCkkroyIyHgwjBDVAa1WYPme85jzWyrKNAJO1krMfrkrHvVxlro0IiKjwzBCVMuu5N9E9Fcp2H8+DwDwhK8LZr3QBc2s+SRqIqLKMIwQ1aLvD1/B5G1HUVhSDkszBab298UrwR68ZZeI6B4YRohqQcHNMkz97hi2//NcGT8Pe8yL8Ie3k5XElRERGT+GEaIHtP/8Nfz3q8O4nH8Tchkw/rF2GPdYW5gq5PffmYiIGEaIakpdrsXcnaex9K9zEALwdLTE/0X4I6iVg9SlERE1KAwjRDUQf+4aPvrxBE5cVQEAIoI98EF/X1gr+VeKiMhQ/MlJZIDDGfmY81sq9pzJBQA4WJoi9oWu6NvZVeLKiIgaLoYRompIzSzEZ7+l4rcTWQAAU4UMg0I8Mf6xdmhuw1t2iYgeBMMI0T2k5RZh3u+n8d3hKxACkMuAFwJbYsLj7eDhyIfbERHVBoYRokpcLbiJL+LO4uvEDJRrBQCgX5cWeOuJ9mjrbC1xdUREjQvDCNEdrt0oxaLd57Bu/0Woy7UAgEd9muO/T/rwwXZERHWEYYQIFYuWrdhzHqv2XkCRWgMACPF2xDt9fBDs5ShxdUREjRvDCDVpxepyrNmXhqV/nkfBzTIAQBd3O7zdxwe92jlxGXcionrAMEJNUmm5BpsOpGPBrnPIvVEKAGjnbI3/PumDPp1cGEKIiOoRwwg1KeUaLbYeuozPfz+Dy/k3AVSsnDoxvB2e83eHQs4QQkRU3xhGyGhotQJXVSVIyy1Cel4xyjVaKORymChkMJHLYKKQV3yVy/5pk+vaFXIZTBWyf77+871cDoVCBlN5RXv8+WuYu/M0zucUAQBcbJUY/1g7vBLsATMTPkeGiEgqDCNUr7Ragcx/AkfatWKkXSvChdwipOUW4WJese4OlrrkYGmKMY+0xbCwVjA3VdT5+xER0b0xjFCt02oFsgpLcCG3CBevFSMt95/Aca3i+9J7BA5ThQwejpbwamYFc1M5yjUC5dp/No1W91WjFSjTiIqv2orvK/pqb+9zq7+2op+tuQlee6g1Xn3ICzbmpvU4IkREdC8MI1RtQggUqzW4XqzG9aIy5BWrcb1IjbwiNbIK/znbkVuMi3lFKCmrOnCYyG8FDkt4OVnB28kKXs0qNjd7c5goav+SiVYrIJOBE1OJiIwQw0gTVlKmQd4/YeJ6ccXX/OIyve8rvpZVhI5idbUvoyjkMng4WMBLFzRuBw93e4s6CRz3IufEVCIio8Uw0kiUlmtuB4l/gkPFWYsyvWChO6tRpMbNMk2N3stMIYejlRnsLU3haGUGByszNLdWotU/gcOrmRVaOljAtJ4DBxERNUwMI0aoTKPVCw23z1rcHS5uhY9bq4YaykQug4OVGRwtzeBg9U+4sDT7J2yYwdHKVPf9ra+WZgpe7iAiolpTozCycOFCzJ49G5mZmfDz88P8+fMREhJSZf+vv/4aH3zwAdLS0tCuXTt88sknePrpp2tcdENSrtEi/2aZLkj8O0TcOoNxvfh2yCgsKa/ReynkMjhYVoQHByszOFjqhwvd13/Ch72VKWyUJgwWREQkKYPDyJYtWxAdHY0lS5YgNDQU8+bNQ58+fZCamgpnZ+e7+u/btw+DBg1CbGwsnnnmGWzcuBEDBgxAcnIyOnfuXCsfor5otQIFN/UnblZc+ijT+z7vn3CRV6TWLTFuKJkMsLcwveOsxR1f/zlb4aD7vuI1G3MTzo0gIqIGRyaEEIbsEBoaim7dumHBggUAAK1WCw8PD4wfPx6TJk26q39ERASKiorw448/6tq6d+8Of39/LFmypFrvqVKpYGdnh4KCAtja2hpS7r2PW1KGvBvqu8LFnRM2r98ROPKL1dAaNFq32VncOkthesclkFtnK0zvOmtha2HK1UCJiKhBq+7vb4POjKjVaiQlJSEmJkbXJpfLER4ejvj4+Er3iY+PR3R0tF5bnz59sH379irfp7S0FKWlpbrvVSqVIWVWW8TS/Th51fBj25ib3D4rYfmvsxf/BAyHOyZ32luY1vvdI0RERA2FQWEkNzcXGo0GLi4ueu0uLi44depUpftkZmZW2j8zM7PK94mNjcW0adMMKa1GHK1MYWWm0AsRd4aJu9qtTGFvYcalw4mIiGqRUd5NExMTo3c2RaVSwcPDo9bfZ21UCM9YEBERScygMOLk5ASFQoGsrCy99qysLLi6ula6j6urq0H9AUCpVEKpVBpSWo0wiBAREUnPoN/GZmZmCAoKQlxcnK5Nq9UiLi4OYWFhle4TFham1x8Adu7cWWV/IiIialoMvkwTHR2NyMhIBAcHIyQkBPPmzUNRURGioqIAAMOHD4e7uztiY2MBABMmTEDv3r3x2WefoV+/fti8eTMSExOxbNmy2v0kRERE1CAZHEYiIiKQk5ODKVOmIDMzE/7+/tixY4dukmp6ejrk8tsnXHr06IGNGzfi/fffx3vvvYd27dph+/btDW6NESIiIqobBq8zIoW6WmeEiIiI6k51f39zBicRERFJimGEiIiIJMUwQkRERJJiGCEiIiJJMYwQERGRpBhGiIiISFIMI0RERCQphhEiIiKSFMMIERERScrg5eClcGuRWJVKJXElREREVF23fm/fb7H3BhFGCgsLAQAeHh4SV0JERESGKiwshJ2dXZWvN4hn02i1Wly5cgU2NjaQyWS1dlyVSgUPDw9kZGTwmTcPgONYOziOtYPjWDs4jrWjqY+jEAKFhYVwc3PTe4juvzWIMyNyuRwtW7ass+Pb2to2yf9JahvHsXZwHGsHx7F2cBxrR1Mex3udEbmFE1iJiIhIUgwjREREJKkmHUaUSiWmTp0KpVIpdSkNGsexdnAcawfHsXZwHGsHx7F6GsQEViIiImq8mvSZESIiIpIewwgRERFJimGEiIiIJMUwQkRERJJq0mFk4cKF8PLygrm5OUJDQ5GQkCB1SUYtNjYW3bp1g42NDZydnTFgwACkpqbq9SkpKcHYsWPRrFkzWFtb48UXX0RWVpZEFRu/WbNmQSaTYeLEibo2jmH1XL58GUOHDkWzZs1gYWGBLl26IDExUfe6EAJTpkxBixYtYGFhgfDwcJw5c0bCio2PRqPBBx98AG9vb1hYWKBNmzb46KOP9J4jwnGs3F9//YX+/fvDzc0NMpkM27dv13u9OuOWl5eHIUOGwNbWFvb29njttddw48aNevwURkQ0UZs3bxZmZmZi1apV4vjx42LUqFHC3t5eZGVlSV2a0erTp49YvXq1OHbsmEhJSRFPP/208PT0FDdu3ND1eeONN4SHh4eIi4sTiYmJonv37qJHjx4SVm28EhIShJeXl+jatauYMGGCrp1jeH95eXmiVatWYsSIEeLAgQPi/Pnz4tdffxVnz57V9Zk1a5aws7MT27dvF4cPHxbPPvus8Pb2Fjdv3pSwcuMyY8YM0axZM/Hjjz+KCxcuiK+//lpYW1uLzz//XNeH41i5n3/+WUyePFls3bpVABDbtm3Te70649a3b1/h5+cn9u/fL/bs2SPatm0rBg0aVM+fxDg02TASEhIixo4dq/teo9EINzc3ERsbK2FVDUt2drYAIP78808hhBD5+fnC1NRUfP3117o+J0+eFABEfHy8VGUapcLCQtGuXTuxc+dO0bt3b10Y4RhWz7vvviseeuihKl/XarXC1dVVzJ49W9eWn58vlEql2LRpU32U2CD069dPvPrqq3ptL7zwghgyZIgQguNYXf8OI9UZtxMnTggA4uDBg7o+v/zyi5DJZOLy5cv1VruxaJKXadRqNZKSkhAeHq5rk8vlCA8PR3x8vISVNSwFBQUAAEdHRwBAUlISysrK9Ma1Q4cO8PT05Lj+y9ixY9GvXz+9sQI4htX1/fffIzg4GC+//DKcnZ0REBCA5cuX616/cOECMjMz9cbRzs4OoaGhHMc79OjRA3FxcTh9+jQA4PDhw9i7dy+eeuopABzHmqrOuMXHx8Pe3h7BwcG6PuHh4ZDL5Thw4EC91yy1BvGgvNqWm5sLjUYDFxcXvXYXFxecOnVKoqoaFq1Wi4kTJ6Jnz57o3LkzACAzMxNmZmawt7fX6+vi4oLMzEwJqjROmzdvRnJyMg4ePHjXaxzD6jl//jwWL16M6OhovPfeezh48CDefPNNmJmZITIyUjdWlf0d5zjeNmnSJKhUKnTo0AEKhQIajQYzZszAkCFDAIDjWEPVGbfMzEw4OzvrvW5iYgJHR8cmObZNMozQgxs7diyOHTuGvXv3Sl1Kg5KRkYEJEyZg586dMDc3l7qcBkur1SI4OBgzZ84EAAQEBODYsWNYsmQJIiMjJa6u4fjqq6+wYcMGbNy4EZ06dUJKSgomTpwINzc3jiPVqyZ5mcbJyQkKheKuOxSysrLg6uoqUVUNx7hx4/Djjz9i165daNmypa7d1dUVarUa+fn5ev05rrclJSUhOzsbgYGBMDExgYmJCf7880988cUXMDExgYuLC8ewGlq0aAFfX1+9to4dOyI9PR0AdGPFv+P39vbbb2PSpEkYOHAgunTpgmHDhuGtt95CbGwsAI5jTVVn3FxdXZGdna33enl5OfLy8prk2DbJMGJmZoagoCDExcXp2rRaLeLi4hAWFiZhZcZNCIFx48Zh27Zt+OOPP+Dt7a33elBQEExNTfXGNTU1Fenp6RzXfzz++OM4evQoUlJSdFtwcDCGDBmi+2+O4f317NnzrtvKT58+jVatWgEAvL294erqqjeOKpUKBw4c4Djeobi4GHK5/q8BhUIBrVYLgONYU9UZt7CwMOTn5yMpKUnX548//oBWq0VoaGi91yw5qWfQSmXz5s1CqVSKNWvWiBMnTojXX39d2Nvbi8zMTKlLM1qjR48WdnZ2Yvfu3eLq1au6rbi4WNfnjTfeEJ6enuKPP/4QiYmJIiwsTISFhUlYtfG7824aITiG1ZGQkCBMTEzEjBkzxJkzZ8SGDRuEpaWlWL9+va7PrFmzhL29vfjuu+/EkSNHxHPPPcdbUv8lMjJSuLu7627t3bp1q3BychLvvPOOrg/HsXKFhYXi0KFD4tChQwKAmDt3rjh06JC4ePGiEKJ649a3b18REBAgDhw4IPbu3SvatWvHW3ubovnz5wtPT09hZmYmQkJCxP79+6UuyagBqHRbvXq1rs/NmzfFmDFjhIODg7C0tBTPP/+8uHr1qnRFNwD/DiMcw+r54YcfROfOnYVSqRQdOnQQy5Yt03tdq9WKDz74QLi4uAilUikef/xxkZqaKlG1xkmlUokJEyYIT09PYW5uLlq3bi0mT54sSktLdX04jpXbtWtXpT8PIyMjhRDVG7dr166JQYMGCWtra2FrayuioqJEYWGhBJ9GejIh7lhqj4iIiKieNck5I0RERGQ8GEaIiIhIUgwjREREJCmGESIiIpIUwwgRERFJimGEiIiIJMUwQkRERJJiGCEiIiJJMYwQUZ0aMWIEZDIZZs2apde+fft2yGQyAEBJSQlGjBiBLl26wMTEBAMGDJCgUiKSCsMIEdU5c3NzfPLJJ7h+/Xqlr2s0GlhYWODNN99EeHh4PVdHRFJjGCGiOhceHg5XV1fdo+n/zcrKCosXL8aoUaOa5OPTiZo6hhEiqnMKhQIzZ87E/PnzcenSJanLISIjwzBCRPXi+eefh7+/P6ZOnSp1KURkZBhGiKjefPLJJ1i7di1OnjwpdSlEZEQYRoio3jz88MPo06cPYmJipC6FiIyIidQFEFHTMmvWLPj7+8PHx0fqUojISDCMEFG96tKlC4YMGYIvvvhCr/3EiRNQq9XIy8tDYWEhUlJSAAD+/v71XyQR1SuZEEJIXQQRNV4jRoxAfn4+tm/frmtLS0uDj48P1Go1bv0I8vLywsWLF+/anz+iiBo/hhEiIiKSFCewEhERkaQYRoiIiEhSDCNEREQkKYYRIiIikhTDCBEREUmKYYSIiIgkxTBCREREkmIYISIiIkkxjBAREZGkGEaIiIhIUgwjREREJCmGESIiIpLU/wPOGL3z3nTtpwAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Generate and plot\n",
|
|
"\n",
|
|
"LUTs = {}\n",
|
|
"count = 0\n",
|
|
"for i in range(0, 3025, 55):\n",
|
|
" if count != 0 and count < 10:\n",
|
|
" count += 1\n",
|
|
" continue\n",
|
|
" if count > 0 and (count + 1) % 5 != 0:\n",
|
|
" count +=1\n",
|
|
" continue\n",
|
|
"\n",
|
|
" # Data\n",
|
|
" MACH = dataNp[:, 0][i:i + 1][0]\n",
|
|
" N1 = dataNp[:, 1][i:i + 55]\n",
|
|
" EPR = dataNp[:, 2][i:i+55]\n",
|
|
"\n",
|
|
" # Interpolation\n",
|
|
" interp = np.interp(n1s, N1, thrust(EPR, MACH) / max_thrust)\n",
|
|
"\n",
|
|
" # Calculate the LUT: N1 vs. thrust using linear interpolation\n",
|
|
" LUT = pd.DataFrame({\n",
|
|
" 'N1': n1s,\n",
|
|
" 'Thrust (%)': interp\n",
|
|
" })\n",
|
|
" LUT.loc[0] = [0,0]\n",
|
|
"\n",
|
|
" LUTs[MACH] = LUT\n",
|
|
"\n",
|
|
" ax = LUT.plot.line(x=\"N1\", y=\"Thrust (%)\")\n",
|
|
" ax.set_title(f\"Mach {MACH}\")\n",
|
|
"\n",
|
|
" count += 1\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 69,
|
|
"id": "c2d4f3af",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"0.000000,0.000000,0.206803,0.280661,0.354519,0.428377,0.502235,0.576093,0.649951,0.723810,0.797668\n",
|
|
"0.000000,0.000000,0.000000,0.000000,0.000000,0.000000,0.000000,0.000000,0.000000,0.000000,0.000000\n",
|
|
"20.000000,0.020334,0.018926,0.018365,0.017768,0.017149,0.016515,0.015863,0.015208,0.014534,0.013860\n",
|
|
"25.000000,0.029434,0.027422,0.026632,0.025797,0.024940,0.024059,0.023152,0.022235,0.021306,0.020375\n",
|
|
"30.000000,0.033986,0.030672,0.028919,0.026653,0.025928,0.025184,0.025802,0.021374,0.018702,0.023291\n",
|
|
"35.000000,0.070581,0.064962,0.062424,0.059648,0.056670,0.053536,0.050308,0.046924,0.043444,0.039910\n",
|
|
"40.000000,0.115706,0.107129,0.103436,0.099453,0.095210,0.090734,0.086072,0.081361,0.076653,0.071841\n",
|
|
"45.000000,0.164968,0.152931,0.147828,0.142341,0.136513,0.130440,0.124498,0.118283,0.111870,0.105388\n",
|
|
"50.000000,0.218546,0.202746,0.196107,0.188982,0.181423,0.174048,0.166338,0.158287,0.149967,0.142050\n",
|
|
"55.000000,0.276676,0.256828,0.248552,0.239686,0.230419,0.221263,0.211681,0.201686,0.191443,0.181712\n",
|
|
"60.000000,0.339274,0.315126,0.305110,0.294428,0.283152,0.272084,0.260539,0.248522,0.236179,0.224430\n",
|
|
"65.000000,0.406072,0.377362,0.365531,0.352959,0.339697,0.326347,0.312745,0.298645,0.284078,0.270104\n",
|
|
"70.000000,0.476658,0.443151,0.429436,0.414899,0.399618,0.383785,0.368032,0.351772,0.335030,0.318542\n",
|
|
"75.000000,0.550568,0.512033,0.496350,0.479778,0.462414,0.444307,0.426075,0.407561,0.388596,0.369500\n",
|
|
"80.000000,0.627228,0.583453,0.565725,0.547049,0.527537,0.507273,0.486477,0.465611,0.444349,0.422704\n",
|
|
"85.000000,0.705886,0.656705,0.636874,0.616041,0.594344,0.571897,0.548783,0.525433,0.501810,0.477902\n",
|
|
"90.000000,0.785094,0.730712,0.708789,0.685821,0.661969,0.637381,0.612132,0.586376,0.560384,0.534209\n",
|
|
"95.000000,0.863065,0.803680,0.779839,0.754920,0.729110,0.702557,0.675366,0.647478,0.619241,0.590907\n",
|
|
"100.000000,0.936071,0.872277,0.847042,0.820755,0.793551,0.765559,0.736891,0.707114,0.677066,0.646923\n",
|
|
"105.000000,0.994083,0.928996,0.903986,0.877967,0.850934,0.822172,0.792494,0.762245,0.731543,0.700495\n",
|
|
"110.000000,0.974676,0.921881,0.905331,0.888737,0.871094,0.851457,0.828909,0.802711,0.772336,0.737555\n",
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Output for MSFS\n",
|
|
"\n",
|
|
"outputDict = {}\n",
|
|
"\n",
|
|
"for mach in LUTs:\n",
|
|
" lut = LUTs[mach]\n",
|
|
" _n1s = lut[\"N1\"].values\n",
|
|
" scalars = lut[\"Thrust (%)\"].values\n",
|
|
"\n",
|
|
"\n",
|
|
" \n",
|
|
" for i in range(len(_n1s)):\n",
|
|
" n1 = _n1s[i]\n",
|
|
"\n",
|
|
" key = \"{0:6f}\".format(n1)\n",
|
|
" if key not in outputDict:\n",
|
|
" outputDict[key] = {}\n",
|
|
"\n",
|
|
" _key = \"{0:6f}\".format(mach)\n",
|
|
" if _key not in outputDict[key]:\n",
|
|
" outputDict[key][_key] = []\n",
|
|
" outputDict[key][_key] = \"{0:6f}\".format(scalars[i])\n",
|
|
"\n",
|
|
"header = True\n",
|
|
"output = \"0.000000\"\n",
|
|
"for key in outputDict:\n",
|
|
" row = outputDict[key]\n",
|
|
" # Machs\n",
|
|
" if header:\n",
|
|
" header = False\n",
|
|
" for _key in row:\n",
|
|
" output += \",\" + _key\n",
|
|
" output += \"\\n\"\n",
|
|
" # Entries\n",
|
|
" output += key\n",
|
|
" for _key in row:\n",
|
|
" output += \",\" + row[_key]\n",
|
|
" output += \"\\n\"\n",
|
|
"\n",
|
|
"print(output)"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.11.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|