jpeg_dct.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4f47ff97",
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format='retina'\n",
    "\n",
    "from math import *\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "714a43dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
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Ua5BoeMKN5ObmavsPy7Vn5Wq1HfCAOgx+yGQR4pLRUeo/6WX90bunvnn9LaUkJDooWgCAK7my7lPXUcNUolRJs/sc/+NPfTfxXR3YsNnO0QGug3oNAGAr1Gu4Fg1PuJ3sjEyt+GC2tiz+XneOeFxN7u5islB+taaNNHrhXG34YrF+mvahLl+46KBoAQDOruLNtdTjP6NVqX4ds+Npqef049SZ2rzoO+UYjXaODnBN1GsAAGuiXsO/0fCE27pw6rS++O8rWvf5l7rn6VGKbdIw37i3j49aP3CfGtzRST+8+762fL1EuTk5DooWAOBsQktGqsuIIWrao5tJI0aSDNnZWvfZl/p55mxlXLzkgAgB10e9BgAoDuo1FISGJ9xe8r4ETR80THU7ttVdY0eoVEyFfOOhJSN1/4v/UYv7umvxq5P1167fHRQpAMAZePv4qGXvnrpj+KMKCithdp89q9bou4nv6czRJDtHB7gn6jUAQFFQr+FGaHjCY+z+ZbX2rdukDoMeVIeH+8svMCDfeMWba2nkZx8p/tul+n7yVKWlnnNMoAAAh6nSqL56/d84RVWPNTt+8tARffPGFB1Yv8nOkQGegXoNAHAj1GsoDBqe8CiGzEwtf/9jxX/3g+4eO0L1bmtvsk/Te7rq5na3aslbU/Num8rNdUCkAAB7CokIV7fRT6hZj25mxzPT0/Xz+x9rzadfyGgw2Dk6wLNQrwEAzKFeQ1GYLnAAeIDUY8c1d/Rz+uCxETrx52GT8eDwMN3/0nMaPvd9lS/gWyMAgOvz8vJS0+5d9cx3CwosnrctXabX7+qjVbM/o3gG7Ih6DQAgUa/BMlzhCY+WsDFek3s9pNYP3KfOQx9WYGhIvvEqDetp9MI5WvPJAi1/f5ayLmc4KFIAgLWVi62iXv8dp9jGDc2OHztwUItfnaxD23baOTIA16JeAwDPRb0GS3GFJzye0WDQ6k/m6427+2j7jz+bjPv4+qr94H4a983nqt22tQMiBABYk19ggLqMHKoxX35itnjOSEvTN6+/rbd7D6J4BpwE9RoAeBbqNRQXDU/gbxdOnda8p8dr5uOjdNrMU9xKVojSw1MnauCU1xVRvpwDIgQAFFfNW1to3Nefq+Mj/eXjZ3qjy87lK/XG3X219rOFyjEaHRAhgOuhXgMA90e9BmvglnbgXw5s2KyJPfqp06MD1H5wP/n6+eUbr9uxreJaNNWyaR9p7ecLlWPgAAsAzi68XBnd8/Qo1e/cwez4maRjWvzqJO1fu9HOkQGwBPUaALgf6jVYE1d4AmYYMjP109SZmtzrIf2x5TeT8YDgYN09boSeWjBbN9W72QERAgAKw9vHR7f2662nv51vtng2ZGdrxcw5mtjjAYpnwMVQrwGAe6Begy1whSdwHScPHdGMh59Q42536K6xT6pEqZL5xivUqK4nP52pTV99qx/emaHLFy46KFIAwL9VrFNb9/73acXUrmF2PHHrdi3635tmn/4MwHVQrwGA66Jeg63Q8AQK4bclP2nvmg3qOmqoWtzXPd+Yt7e3Wt7fQ3U7ttV3k97VtiXLHBMkAECSFFgiVF1GDFGL+3vI29v0Zpa01HP6btJ72vrdDw6IDoCtUK8BgOugXoOtcUs7UEiXL1zQVxPe0Hv9HtOxhD9MxkuUKqkHX3tRj898RyVjKjggQgBA3Y5t9cy389WqTy+zxfPmRd/p9bt6UzwDbop6DQCcH/Ua7IGGJ1BEh3fu1tu9B+r7Se8pM/2yyXhci2Yat/gzte3fV94+Pg6IEAA8T4nSpTTgrVc1cMrrCitT2mQ85WCipvZ/XAtffE3p5y84IEIA9kS9BgDOh3oN9kTDE7BAjsGoX+d+rjfv6as9K1ebjPsHBerucSP05LyZioqr5oAIAcBzNOveTU9/+7nq3dbeZCzrcoaWvDVVb90/QIe273JAdAAchXoNAJwH9RrsjYYnUAznjp/Q7JHP6uMRT+vc8RMm4zfVqa2nvpitO0cMkW9AgAMiBAD3VTKmgh7/8F31/t/zCg4LMxnfu2a93uzeV6tmf6Ycg9EBEQJwBtRrAOA41GtwFBqegBX8vmqt3uz+gNbN/0o5OTn5xnx8fdXp0QEa+9UnqtqkoYMiBAD34eXtrTb9+2jc4s8Ud0tTk/FLZ1M17+nxmjV8rFKPHXdAhACcEfUaANgP9RocjYYnYCWZaen6+tXJmjZgqI4nHjIZL1P5Jg2fPV33jn9GgSVCHRAhALi+8tVjNWLeh7pn3Ej5BwWajP+25Ce9eU9fbf/xZwdEB8DZUa8BgO1Rr8EZ0PAErOzwjl16674BWj5jlgzZ2SbjLe7rrqe/+Vx1OrR1QHQA4Jp8/Px0xxOPafQXc3RT3dom46kpx/Xh0Kf0+X9eUtq58w6IEIAroV4DAOujXoMzcYuGZ8WKFTVx4kTt3btXly5d0pkzZ7R582aNGTNGQUFBjg4PHsiYna1l0z/S2/cP1JGde0zGw8uW0aB3XteAt15VidKlHBAhALiOyvXravSXc3Xb44Pk4+ebbywnJ0fr5n+lid0f1P51mxwUIQBXRL0GANZDvQZn43vjXZxbly5d9NlnnykiIuLqtpCQEDVr1kzNmjXTI488oi5duujQIdNbVgBbO/7Hn3qv/+Nq1aenuowcqoDg4Hzj9W5rr+rNm+j7ye9p8+LvHRQlADingOBgdRk5RC379JK3t+l3tCf+PKyFL7ymwzt4micAy1GvAYDlqNfgrFz6Cs969epp4cKFioiI0MWLF/Xcc8+pRYsW6tChg2bOnClJqlmzppYuXaqQkBAHRwtPlZuTo3Wf532btW/tBpPxoLASuv+l5zR01lSVvinGARECgPOp2foWjf16nlo/cJ9J8WzMNujnmbP11n0DKJ4BWAX1GgAUHfUanJlLX+E5ZcoUhYSEKDs7W507d9amTf9cGr1q1SodPHhQEydOVK1atTR69Gj973//c2C08HSpKcf10bAxatils7o/M0qhJSPzjVdr1lhjF83TsukfavUnC5RjNDooUgBwnJCIcN399Eg1uetOs+N/7dmrhS+8qpSERDtHBsATUK8BwI1Rr8EVuOwVnk2aNFH79u0lSbNmzcrX7Lxi8uTJ2rt3ryRp1KhR8vV16f4u3MT2H5brzXv6auv3P5qM+QUGqNvoJzTi849UoUZ1B0QHAI7T8M7bNO6bz80Wz1mXM/TdxHf1Xr/HKJ4B2Bz1GgCYR70GV+GyDc/u3btffT179myz++Tm5uqTTz6RJJUsWVLt2rWzQ2TAjaWdO6/5z03QzCFP6Wxyisl4xdo1NWrBx+oycqh8AwIcECEA2E94uTIa/N5E9XtzgkqUKmkyfnDzVk3q2U+rP5nP1VQA7IZ6DQD+Qb0GV+OyDc9bb71VknTp0iX99ttvBe63evXqq69bt25t87iAojiwfpMm9nhQaz79Qjk5OfnGfHx91fGR/hrz5VxVbdzAMQECgA15eXmpxf099PQ383VzO9McffnCRX0x/lW9/8iTOpOU7IAIAYB6DYBno16Dq3LZe7xr1aolSfrjjz9kvM63B/v37zd5j7WVLFlCmZlhRX7fpUsZysjIMjtWqlSYvLwsiyc9PVPp6ZlmxyIjQ+XjY1mfOyMjW5cuXTY7Fh4eIj8/n+u+PySihIJ88heJpUuVkI8xSxcupJt9T1hYsPz9Lfsxzc426vz5NLNjoaFBCgz0s2heozFHqamXzI4FBwcoOLjo3/Cv//hjHdm8QbeNGqny1armGytbpZJGzJ2und8t0fIPZikzzfzfwfWcPn3B7HZ/f1+FhQWbHSuMM2cuKjc312S7n5+vwsMtnzc19ZKMxhyT7T4+3oqMDLV43vPn05WdbTDZ7uXlpVKlSlg874UL6crKMp1XkkqXLvqx4QpPO0YUJCvL4PHHCEnKzZXOnDH/bzkw0F+hoYEWzSs55hhRtU513fP0SFWuX/fvrfn/ze9ds15Lp8zQxdNnTP4deeIxwlwODQz0k/mfYI4RV3CMyFOUY4S5n7WCeFod8cPbU7Vj2Qrd/+J//lWv5apStYoa++k0xX+ztMj1GnVEHo4ReZz9GGEO5xp5nLmOMKcwx4hSFaOLXK958jHi2hyakytl5pj/s3KMyHPlGFGypOX/Pq7HS5LpEcTJBQQEKCMjQ5K0ZMkS3XXXXdfd/+LFiwoNDdXGjRvVsmXLQn1GdHT0dcejoqIUHx8vScrVCkkZhZr3Wk8Mn6Hp038wO3bi5DyVKRNe5Dkl6aUXP9dLL803O7Z7zzTdfPNNFs07fdpSPfHE+2bHVq56Ve3a1TU7diNffrlOve9/w+zYFwuf0X33WXZl7q+/7laH9s+ZHZs6dYiGDe9q0by///6X6tYZbnbshRf66oUXH7Bo3lOnzqtC9CB1fKS/Oj46QL5+/xwA65e8rA4VCjqtvTFvL/P/Ru69t5UWfvmsxfOWLfOg2YNX27Z1tOrX1yyet87Nw7V3718m22vXvkl7fp9m8bzt2/1Hq1fvMdleunSYTp76zOJ577/vdX311XqzYzm531s8L8eIPBwj8pw6dV7lyvYzOzZsWBdNnTbUonkl+x4jvH19NPLVUZo8rp3F83KMyDN63FxNmfSV2TGOEXk4RuQp7jGiRMmHlJZ6zmS7p9YRPn5++eq1IJ8cDal11uJ5qSPycIzI44rHCM418rhaHcExIo+tjhFH03z11aEIjW9zp0kO5RiR559jRKC81EmSFBMTo+Rk61wp7JJXeJYo8U/399Il853ta6WlpSk0NFShoYX/tiYpKcmi2IDiMGZna/mMWdq5fKV6v/ScKtWv4+iQAMBqomvFqfdLz6t5k8qSzH/TCwDO7t/1Ws1GtR0dEgBYTXStOAWF2eaKO8CeXHINz8DAfy6lzcoyfwn2tTIz8y6nDgoKsllMgDWdSDyk9/o/rm/emKLM9KLfwg7AcbwtvE3HnfkGBKjrU8M08vNZiq4V5+hw3EZWuvnbrwBrM3d1J/6p13547wNHh+IWWvbppZDICEeHAQ/w9Def8bNmxrX1mrePZbeH4x+J8ds1pm4LcqgDueQVnlduZ5ckf3//G+4f8PdTEy9fLnzjKCYm5rrj197SDthCbk6O1s77Qr+vWqP3FrwiVSjj6JAAoMhimzTUfS/+R2UqVXR0KABgdbk5Odr05TfS9PscHQoAWIx6De6INTwtFB0dffW293r1aikl5ViR52Ah8TwsJJ7nRosEt763m+584jGztxdkXr6sFTNna8viJWYX9va0hcRDIsL1zHcL8m174+4+OnYkxe0WErcEx4g81jhGmPtZe7Xr/Uo6ZH7dGVddSNwSgaHBajFggG65t7vJmLdXrs4dPqRv3pii5H0Hijw3DxvIwzEijzMfI8xxx4cNWMpZ64iCFOYY0eCOTkWu1zz1GPHvHGrIlf7TuqvZq6E4RuThGJGnqMeIf/+sZRi99N82XUx+1jyxjpCvn7qNfkIt7uuebyzQJ0dekk78ebjI9Rp1RB6OEf+40TEiKqqCdu3aJ8m6a3i6ZMNTkk6ePKkyZcpox44datiwYYH7RUREKDU1VZK0cOFC9e7d2yqff23D05p/IcD1hJaKVI//jFGD2zuaHT+8Y7cWvvCqTvx52L6BOZmQyAhNWPNjvm3mFosGioufNfNubn+rej0/TuHlTK9MN2Rn6+cPZmvVrE9lNJgv3gHAlVGvFQ45FPbCz5p51GtwFrbqr7nsQmP79uV1f6tVqyaf66wvUbNmTZP3AK7q0plUfTr2//TxiKd1/sQpk/HKDepq9Jdz1enxQfLxdckVKwC4sBKlSqr/5Fc0+N03zRbPh3fs1lv39teKD2ZTPANwW9RrAJwZ9Ro8hcs2PNetWydJCg0NVePGjQvcr23btldfr1+/3uZxAfbw+6q1erPHA9r41TcmY77+/rrzicf01MI5qliHp4YCsI9mPe7S09/NV/3OHUzGMtPT9fVrkzV1wBCPv6IJgOegXgPgbKjX4ElctuH5zTffXH09aNAgs/t4eXmpf//+kqTU1FStWrXKHqEBdpFx8ZK+eukNTR88XKeOHDUZj6oeqxHzZurucSPkH2T5ehsAcD2lKsZoyEfvqfeE5xQcZrqO1P51mzSx+4Na9/lXys0xXVMPANwZ9RoAZ0C9Bk/ksg3P+Ph4rVmzRpL08MMP65ZbbjHZZ8yYMapdO+8b03feeUcGLseGG0qM36ZJvR7Syo8/VY7RmG/M28dHbfv31djF81S9eRMHRQjAHXn7+KjdwAc1roDjS1rqOX327Av6cOhTSk057oAIAcB5UK8BcATqNXgyl214StLIkSOVnp4uPz8/LV++XM8++6yaN2+udu3a6f3339fEiRMlSQcOHNDkyZMdHC1gO4bMTC19e7reeeBhJe9PMBkvFRP99zd6z5t9aigAFEV0zTiN/HyW7hrzhPwCTZ8E+duSn/TGPX21belyB0QHAM6Jeg2APVGvwdO59CrZO3bsUO/evTVv3jyFh4frtddeM9nnwIED6tq1qy5duuSACAH7Stp7QFP6Dla7AQ+q89DB8gvIn9ia9eimmq1v0eJXJ2v3il8dEyQAl+UbEKDbhz2stv37mn3QxtljKVr0vze1f90mB0QHAK6Beg2ALVGvAXlc+gpPSVqyZInq1aunt956SwcOHFBaWppSU1MVHx+vp59+Wg0bNlRiYqKjwwTsJsdg1MpZn2jyvf315287TMbDypTWwLdf04C3X1OJ0qXsHyAAlxTbtJHGLZ6nDoMfMimec3JytGbeF5rY/UGKZwAoBOo1ALZAvQb8w6Wv8Lzir7/+0pgxYzRmzBhHhwI4jVOH/9L0QcN0y33d1e2p4QoMDck3Xq9TO1Vv1ljfT35Pmxd/76AoATi7oLASumv0E2re626z4ykHE7Xwxdf0167f7RwZALg+6jUA1kC9Bphy+Ss8ARQsNzdXGxd+rYndH9De1etNxoPCSuj+l57TkA/fU6mYaAdECMCZ1e3UTk9/87nZ4tmQlaUfp87U2/cPpHgGgGKgXgNQHNRrgHk0PAEPcO7ESc16YqzmPT1el86mmoxXv6WJxn39mTo83N/sOi8APEtkVHkNfvdNDXz7NYWVKW0yfmj7Lr113wCt+GC2jAaDAyIEAPdDvQagKKjXgOuj4Ql4kO0//qw37+mrrd//aDLmFxigrqOGavRXn6hq4wb2Dw6Aw3n7+qj9oAc17pvPdXP7W03GM9LStOjliZo2YIhO/HnY/gECgAegXgNwPdRrQOHQ8AQ8TNq585r/3AR9OPQppaYcNxkvH1tFw+fMUO8JzyskItwBEQJwhMoN6mn0wrnqNvoJBQQHmYz//us6TbznAW34YrFyc3MdECEAeA7qNQDmUK8BhUfDE/BQ+9dt0sTuD2rtZwuVk5NjMt6sRzc98/0Xata9m7y8vBwQIQB7CA4P030vPKsnP/1AUdVjTcYvnD6jT8f9Vx8/OU7nTpx0QIQA4Lmo1wBI1GuAJWh4Ah4sMz1d37z+tt7p+7CO7t1vMh4SEa7e/3tew2ZPV/lqVR0QIQBbanJ3Fz3z3QLdcu89JmM5OTlav2CR3ri7j3b8tMIB0QEAJOo1wNNRrwGWYbVrAErau1/v9H1Yrfr01J1PDlFgaEi+8aqNG2j0wrla/cnn+vmD2cq6nOGgSAFYQ9kqldTrv0+rWtNGZseT9yXoywlv6OievXaODABQEOo1wLNQrwHFwxWeACRJuTk5Wvf5V3nfDi77xWTcx89XHR7ur3Fff65at7Z0QIQAissvMEB3Pvm4xiz61GzxnJGWpm/emKIpfQdTPAOAE6JeA9wf9RpgHTQ8AeRz4dRpfTr2//Th0Kd0JinZZLxkdJQemT5ZA956VeHlyjggQgCWqNHqFo37+jN1emygfP38TMZ3Ll+pN+/pq7XzvlCO0eiACAEAhUW9Brgn6jXAerilHYBZ+9dt0pvdH1Snxwao/aB+Jgm33m3tFdeymZZN+0jrPv+ShAs4qbCyZXTP0yPV4PaOZsfPJB3T169O1r61G+wcGQCguKjXAPdAvQZYH1d4AiiQITNTP703U5N7PaQ/4reZjAeGhOiep0dq1IKPVal+HQdECKAg3j4+uvXB+/XMt/PNFs/GbINWfDhXE3s8QPEMAC6Meg1wXdRrgO1whSeAGzp56IhmDB6uJnd30V1jnlBoych849E14zRi3oeK/3aplr49XRfPnHVQpAAkKbZJQ/V4boyiqseaHf/ztx366n9v6kTiITtHBgCwFeo1wLVQrwG2RcMTQKFt/e4H7V29Tl1HDdMt995jMt70nq6q27Gdls34+7YpA7dNAfYUUa6s7hr7pBrc0cnseFrqOX3/1lRt/fYH5ebm2jk6AIA9UK8Bzo16DbAPbmkHUCTp5y/oy5de13sPPa6Ug4km44GhIbpn3EiN+epTVb+lqQMiBDyPr7+/Oj46QE9/t6DA4nnz4u/1xt19FP/NUopnAHBz1GuA86FeA+yLKzwBWOTwjl166/4Bav3Afbp96CMKDA3JN14+toqGfPiudv28St9NfFepKccdFCng3mq1aaXuz4xS6ZtizI4n70vQ169N1qHtu+wcGQDA0ajXAOdAvQbYHw1PABbLMRi15pMF2r50ubo+NUxN7+lqsk+929qr1q0ttWrOZ1r18TxlXb7sgEgB91OuamXdNW6EarVuYXY8/fwF/fDu+9r01bfKzcmxc3QAAGdBvQY4DvUa4Djc0g6g2C6eOasF//ey3u33qI7+vs9k3C8wQJ2HDNazS75Q03u6yMvLywFRAu4hJCJcPZ4bozGLPjVbPOfk5GjDwq/1erf7tXHh1xTPAABJ1GuAPVGvAY7HFZ4ArObIzj1654FH1KxHN3UdOVQhkRH5xsPLllGfl/+rVn3v1bdvvqND23Y6JlDABfn4+qrVA/eq8+ODFRRWwuw+h7bv0tevTVbyvgQ7RwcAcBXUa4DtUK8BzoOGJwCrys3J0eZF32nXz6t0x/BH1eL+HvLxzX+oqXhzLT0x933tXL5SS96eprNJxxwULeAa6nRoo26jn1CZShXNjp8/eUpL356u35b8ZOfIAACuiHoNsD7qNcC50PAEYBOXL1zU16+9pQ1fLNbd40aqZutbTPap37mDbm7XWmvnLdQvsz7R5QsXHRAp4Lyia8XprjFPqnrzJmbHszMyWW8NAGAx6jWg+KjXAOdEwxOATZ3487A+HPqUara+RXeNHaHysVXyjfv6+6v94H5q3utu/fLhXK2b/5UMWVkOihZwDiVjKujOJx9Xoy6dC9xn29JlWjplhs4dP2HHyAAA7oh6DSg66jXAudHwBGAX+9dtUsKmeLW4r4duH/aIQiLC840Hh4fprrFPqvWD9+mnqR/qtyU/sXg3PE5IZIRue3yQWtzfQ75+fmb3Obxzt7598x39tet3O0cHAHB31GvAjVGvAa6BhicAu8kxGLV+/lfatnSZbnt8kFr3vU8+fvkPQ5FR5dX3lf+q3cAHtPTt6dq3doODogXsxz8oSG3691H7gQ8qMDTE7D6pKce19O3p2v7jz3aODgDgSajXAPOo1wDXQsMTgN1dvnBR3018Vxu+WKw7RwxRg9s7muwTVT1Wj0yfrD/it+mHd2boyM49xfrMgOBgpaWeK9YcQGEU5WfNx9dXzXrepc5DH1ZY6VJm97l84aJWfvyp1sxbKENmphUjBQCgYNRrcGfUa4D785KU6+ggXFF0dLSSkpIkSTExMUpOTnZwRIDrqlintrqNHq5qTRsVuM/eNeu1bNqHStp74LpzxTZtpLb9++rmdq3zbTcajNqzcrXWL1ikxPhtVokbnq04P2vePj5qcted6vT4IJWKqWB2H0NWltZ9/pV++Wiu0s9fsHr8AAAUBfUaXBH1GuD8bNVfo+FpIRqegPXVbH2Luj41XBXiqhW4z56Vq/XTtI+UkvBHvu3RteLU95Xxiqoee8PPSTmYqPnPT1DyvoRixwzPU5yfNS9vbzXq0lm3DRmsMpUqmn1PTk6Ofvv+Jy2b9qFSU45bNXYAAIqLeg2ugHoNcB00PJ0MDU/ANry8vdWo6+2644lHVbJCVIH77Vy+UsumfagTfx5WXIumGjjldQUEBxf6czLT0zVn1LNK2BhvjbDhISz/WfuPgsNKqPOwR1SuauUC9923doOWTpmulIREK0QLAIBtUK/BmVGvAa6FhqeToeEJ2Javv79a9u6pDg8/pBKlSprdJycnRwfWb1Jsk0byDwos8mdkpqdr2sChXDmAQomuFafhc2YUqXi+IicnR97e3gWOH9q+Sz++9wG37wEAXAr1GpwN9Rrgemh4OhkanoB9+AcFqlXfe9V+UD+FRIRbff6Ug4ma1LOf1eeF+xm7eF6hbosqir9279VPU2fqwIbNVp0XAAB7ol6Ds6BeA1yPrfprPKUdgFPLupyhVR/P04YvFuvWB+9X2wF9FRwWZrX5o6rHKrZJQyVu3W61OeF+Yps2smrxnLwvQT9N+1B7V6+z2pwAADgK9RqcAfUagGsVfL02ADiRzLR0rZg5R6/c0UvL3/9YGZfSrDZ3yz69rDYX3FMrK/2MXL54SXNGPau3ew+keAYAuB3qNTgS9RqAa9HwBOBSMi5e0rJpH2pSz37Kycmxypx1O7ZVQEjR1/mBZwgICVadDm2sMpd/UKASNsUrN5fVZAAA7ot6DfZGvQbg32h4AnBJ/kGB111UvCh8fH0VXraMVeaC+4koV1Y+vtZZAYafNQCAJ6Feg71QrwH4NxqeAFySvwVPXryegJAQq84H98HPGgAAliGHwl74WQPwbzQ8AbikrPR0q86XmWa9NabgZrysOx0/awAAT0G9BruhXgPwLzylHYBLOnfipIwGg1VuXcnNzVWDOzpqw8KvdelMqhWigzu4qW5ttbivhxrc0clqcxqzDTp/8pTV5gMAwJlRr8HWqNcAFISGJwCXlJmWrj0r16h+5w7FnsvLy0u3D3tUnR4dpD2r1mjjl9/oj81bWajcAwWEBKtR19vV4r7uiq4ZZ/X5d69crcw0617tAgCAs6Jegy1QrwEoDBqeAFzW+gWLrFJAX+Hj56v6nTuofucOOnXkqDYv+lbx3/3AVQQeoOLNtXTLvfeoYZfbFGDlNaCutWHBIpvNDQCAM6Jeg7VQrwEoCi9JfCVmgejoaCUlJUmSYmJilJyc7OCIAM80dvE8RVWPtdn8RoNBCZvi9dv3P+n3VWuUdTnDZp8F+yoZHaVGXW9X4253qGyVStfd15htUFZmhoJCQy3+vJSDiZrUs5/F7wcAwFVRr8FS1GuA+7NVf42Gp4VoeALOIbpWnIbPmWHRt7yZ6ela/OpkxTZpqAa3d5J/UOB1989IS9PuFau1belPOrj5N+Xm5FgaNhwkKKyE6t/eUY273q6qjRvccP8zSce0edF32vL19worW7pYP2vTBg5V8r4EC6IGAMC1Ua+hKKjXAM9Cw9PJ0PAEnEdci6YaOOX1IhU2menpmjPqWSVsjJeUV1g17na7brm3e6GuQDh/8pS2//Czdv68Ukd372X9KCcWEBysmre2UIM7Oql2m5by9fe/7v5Gg0F7V6/Xxi+/UcKGzfn+bq3xswYAgCeiXsP1UK8BnouGp5Oh4Qk4l+hacer7yvhCFb8pBxM1//kJBX57W7lBPd1y7z2qd1t7BQQH3XC+8ydOac+qNdr9y2olbt2mHIOxyPHDukIiwlW7XWvV7dhOcS2ayi8g4IbvOX00SfHf/qAti7/XhVOnC9zPmj9rAAB4Euo1XIt6DYBEw9NESEiIGjVqpGbNmqlZs2Zq2rSpqlSpIkk6fPjw1de2QsMTcE6xTRqqVd97VadDG/n4/vNcNmO2QbtXrtaGBYuUuHV7oebyDwpSnQ63qnG3OxXXoqm8fXxu+J708xf0+6/rtGflah3YsFnZGZkW/1lQNBHlyqpOxzaq27GdqjZuUKi/r7Rz57XjpxXatmSZDu/cXaTPs+bPGgAAnoR6zXNRrwH4Nxqe/7Jy5Uq1b9/e7BgNTwABIcEKL1tGASEhykxL0/mTp5SZlm7xfCVKlVTDLp3VuNsdiqldo1Dvyc7I1J/bdihhwxYd2LhZKQmJFn8+TPkFBqhqowaKa9lMNVo2L/TDEAxZWfr913X6bclP2r92o4wGQ7HisPbPGgD3d9ddd+m7777Lt61y5co6cuSIgyICHIN6zf1RrwG4ERqe/7Jq1Sq1a9dOknT27Flt3bpVLVq0UIkSJWh4ArCpcrFV1KhLZ9Xp2FblYwt/rLlw6rQSNsUrYcMWJWzcootnztowSvfj5eWlCjWqK65FU8W1bK6qjerfcH2nK4zZBv2xZat2/rxKO5evVMbFSzaOFgDMK1GihPbu3auYmJh822l4AtZFveYY1GsAioqG5788+uijunTpkrZs2aLExLxv4Q4dOqTKlSvT8ARgN2WrVFKdDm1Vt2Nb3VS3dpHee+LPwzq8Y7eO7Nytwzt26+ShIyymfw2/wABVrFNblevXVeX6dVS5QV2FREYU+v2Z6Zd1YP0m7f7lV+1ds4GiGYBTmDFjhoYMGWKynYYnYDvUa7ZDvQaguGh4FgINTwCOdGVNojod2iq2ScNCrUl0rfQLF3Rk1+86snOPjuzcreR9CUo7d95G0ToXLy8vlYyJ1k11aqnS38VyhRrV8621VBisyQXAmbVu3VqrV6+Wt7e3PvvsMz344INXx2h4AvZBvWY56jUAtkDDsxBoeAJwFkFhJVStaSPFtWyuGi2bqVRMtEXzXDh1WikHE5WSkJj3+8E/dCLxsAxZWVaO2H5CIiMUVT1WUXHV8n6vHqtysVUK9YTVfzMaDPpr1+86sDHvtrOje/Ypx8hTVwE4n4CAAO3YsUM1a9bUH3/8oW7dumn//v1Xx2l4AvZHvVYw6jUA9mKr/lrRvooBABTK5QsXtfuX1dr9y2pJUqmY6KuLtVdr1lhBJUILNU9YmdIKK1NaNVo2v7otx2jUmaPJOpN0TGePpSj1WIrO/v36bHKKLp1NtcmfqbC8fX0UUb6cSlaIUsnoCioZHZX3q0KUSt0Uo7DSpYo1/6kjR5WwcYsObNisxPhtyriUZqXIAcB2xo8fr5o1a0qShgwZooyMDAdHBIB6jXoNgPviCk8LcYUnAEt5+/goumbc1VuBKjeoq8io8labP+tyhi6cOq201HNKO39eaannlf7372nnzyv93HllZWTImG2QIStLxuxsGbKyr/6ek2OUj6+vfP395evvJx8/P/n6/f27v78CQoIVEhGe9ysyQsHhYQqJjFBIeLhCSkYorHSpIt8eVhCjwaBjCX/oyI68dbMO79it1JTjVpkbQPFUqlRJhw8flqRC115XajXJs65orFevnrZu3So/Pz99+umn6t+/f77/f5Jn/f8AXAH1WuFRrwEoDq7wtLPo6OvfzhAVFWWnSAC4mxyjUUd/36ejv+/Tus+/lCSFlyujSvXziunK9euqQo1q8gsIsGh+/6BAlb4pRqVvirnxzk7m4pmz+mv3Xh3ZuUeHd+zS0d/3KesyV0EBcF3e3t766KOP5OfnpzNnzmj06NGODglAIVCvFYx6DYAroOFZgCvdZQCwh/MnTmnX8pXatXylpLyrCkrfFKPyf6+ZdOVXyZgK8vb2dnC0xZedkanjiX/+vc7VlTWv/tClM469vQsArO2pp55S06ZNJUnjxo3T6dOnHRwRAEtRr1GvAXAdNDwBwAnlGI06eeiITh46crWolvKuBigXW1Wlb4r5e82lK78qKCKqnHz9/BwYdX6XL17S2eRjSj2WojPJKUpNTtHZYyk68edhnTmarNycHEeHCMDFjRgxQtWrV7fqnOPHj1dqqnVO5qtUqaKXXnpJkrR69WrNnj3bKvMCcA7UawDgvGza8PTx8ZHBYCj2PAMHDtTcuXOtEFHhxcRc/9aCqKgoxcfH2ykaAMiTdTlDR/fs1dE9e03GvLy9FV6mtCKjoxQaGfH3ek3hCokMV0hExNV1nILDw+Tjn7e+09W1nvz85ONnmhIMWVkyZGfLmJUtw99rRmVnZCjt3Pl8a06lnTun9HMXlJZ6ThdOn9bZ5BRdvnDRHv9LAHiwHj16qF27dladc9KkSVZreM6cOVMhISHKzMzU448/bpU5ATg/6jUAcDyu8CwADyEC4Gpyc3J07sRJnTtx0qL3e3l7y8fXV94+PjJmZ8tohS+sAMBTDRo0SJ06dZIkvf766zpw4ICDIwLgDKjXAMA+bNrwNBqNqlmzZrHnSUlJsUI0AIDryc3JkSEry9FhAEChtW/f3tEhmFW2bFlNmjRJknTgwAG9+uqrDo4IgLugXgOAwrH5FZ58mw0AAABPMnXqVJUsWVKS9PjjjyuL5gQAAIBduf6j4wAAAAAncffdd+u+++6TJM2ePVurV692cEQAAACeh4YnAAAAYAVBQUGaPn26JOnUqVMaO3asgyMCAADwTDy0CAAAAHbh7W3d79pHjBih6tWrW3XO8ePHW/yU9rJlyyo6OlqSlJubq6VLlxa4b0BAQL7//vrrr5WZmSlJWrp0qV5++WWLYgAAAIALNzxjY2PVunXrfNtCQ0Ov/j5gwIB8Yz/99JNOnDhht/gAAADcWXZ29tXXvr6FKynDw8OtGkOPHj3Url07q845adIkixue1ypbtqzKli1b6P0bNmx49fX+/fuL/fkAAACezGUbnq1bt9acOXPMjpUuXdpkrF27djQ8AQAArOTixYtXX0dGRt5w/4oVK1q94QkAAACY47INTwAAADjOxYsXdebMGZUqVUohISGKi4tTQkJCgfvff//9Vo+hffv2Vp+zOI4cOSIvL69C7VupUiUdPnz46n9XrlxZR44csVFkAAAAnsVlH1o0d+5ceXl5FfoXT8gEAACwri1btlx9PXDgwAL3i46O1n/+8x87RAQAAAC4cMMTAAAAjvX5559ffT169Gj17NnTZJ/mzZtr9erVioyMVFZWlj3DAwAAgIei4QkAAACLzJ8/Xzt27JCU99TxRYs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",
      "text/plain": [
       "<Figure size 800x1000 with 8 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 813,
       "width": 670
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# https://cs.stanford.edu/people/eroberts/courses/soco/projects/data-compression/lossy/jpeg/dct.htm\n",
    "N = 8\n",
    "x_discrete = [x for x in range(N)]\n",
    "x_continuous = [x/20-0.5 for x in range(N*20)]\n",
    "\n",
    "def cosine_basis(n, k):\n",
    "    return cos(pi/N*(n+0.5)*k)\n",
    "\n",
    "fig, axs = plt.subplots(N, 1, sharex=True, figsize=(8, 10))\n",
    "\n",
    "for u, ax in enumerate(axs):\n",
    "    ax.set_title(f\"u = {u}\", y=0)\n",
    "    ax.set_xlim(-0.5, N-0.5)\n",
    "    ax.set_ylim(-1.5, 1.5)\n",
    "    ax.plot(x_continuous, [cosine_basis(x, u) for x in x_continuous])\n",
    "    _, _, baseline = ax.stem(x_discrete, [cosine_basis(x, u) for x in x_discrete], basefmt=\"--\")\n",
    "    baseline.set_xdata([-0.5, N-0.5])\n",
    "\n",
    "plt.subplots_adjust(wspace=0, hspace=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "560b2b15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 552
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = [150, 180, 140, 40, 210, 255, 150, 250]\n",
    "#samples = [0, 0, 0, 0, 255, 255, 255, 255]\n",
    "\n",
    "_, _, baseline = plt.stem(x_discrete, samples, basefmt=\"--\")\n",
    "baseline.set_xdata([0, N])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e806078a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 413,
       "width": 554
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shifted = [s-128 for s in samples]\n",
    "\n",
    "_, _, baseline = plt.stem(x_discrete, shifted, basefmt=\"--\")\n",
    "baseline.set_xdata([-0.5, N-0.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "d7d6bc0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IlZdrX6X2la82xLvvvpvbPv7442PrrbfOy7wA5JcFgQGgBakdCixYsCBhJyutHsas3lPtBV9TXvo73wr5uvbYY48oLi7OPc/LL7+8zse89NJLsWjRoujYsWMUFxfHHnvsEc8++2xu/8CBA+tsX3/99eucs02bNrntbbfddn1eQrPYb7/9ctvPPfdcLF26tKDPV/s9POKII2LPPfdc52M6d+6c217Xe/jKK6+sc76PP/643rk3xIQJE+Ltt9+OHXbYIbbbbrt47bXX4o477ogHHnigWd5XABpHOAMALUjtX8g++eSThJ2stPoviKv3VPt2ly5dmqOlZlH7dW2++ebRpk2bvJ3a1K1bt9z2zJkzGzVvlmUxc+bM3JWTunbtWmd/7SsZHXrooblTnBqrJZxCt7raR3i89dZbBX++2u/hscceu96PX9d7uPopgvVZvnx5brtt27br3UN9ampq4pvf/GY89NBD0blz59hqq63i+9//fnz/+9+P6urqeOGFF+LJJ5+Mhx56KJ566qm8PCcA689pTQDQgtS+lO0HH3yQsJOVVr+07uo9vf3227nt7bbbrs5ltTdmtV9XUVFRfP7zn8/b3LWPxKmqqmr042qPXf2Ipg09ymLVkTwtSXOfMlfo9zDf6xatj/Hjx8cee+wRt99+e533sqSkJAYOHBgXXnhhPPnkkzF16tQ45phjkvUJ0JoJZwCghWjbtm2dUymee+65dM3807777pvbnjt37hpHMDz99NO57aKiojprqWzMar+uiLrvw4aq/cvx+oRZtcfWPu0qom5wc/TRR0ebNm3Wu1qa5j5lrvZ7uMcee6z3+7fjjjsWvMcN8c4778Spp54a3bp1i0MPPTR+8pOfxOOPPx6LFy/Ojfn85z8f9957b5x77rkJOwVonYQzANBCHH300dG+ffvc7dSnGJSUlMRRRx2Vu716YBGxMkCq/Uvt17/+9WbprdDeeeedOkFUPl9X7SvmNHatlzZt2tQZ+9FHH9XZP2fOnNx2r169NrDDlqH2a2qO4GNTfA/rs3Tp0nj88cfjsssui0MPPTS22mqrOO644+Kll17KjfnZz35W5zQvAApPOAMALUTt/63+8MMP47HHHkvYTcTw4cPrrG1S3xVsqqurY/To0bnbw4YNi+7duzdHewV3880357a/+MUvxq677pqXef/v//4vampqImLlqTu77bbbOh+zxx575I4eqampif/7v/+rs3/ChAm57S996Ut56TO12keODRw4sE5wWQgby3uY79Ojli5dGvfee28ccsghMXv27IhYGcy25PcAYFMknAGAFuCCCy6I/fffP3d75MiRdU43aG4VFRXx85//PHd76tSpcc8999Q79rrrrsstZNqpU6e49dZbm/Schx12WJMeVyi33HJLfPrppxERsdlmm8Xo0aObtDbL6q+rqqoqJk2alLs9YsSIdc5xyimn5Laff/75NT4bDz74YG770EMPzVuQlNJzzz2XW5h58803j5NPPrmgz1f7Pfz6179eZ+HmlqT21ZXytWhwRMS8efPimWeeyd12yW2A5iWcAYDELrjggrjyyitzt6dMmRL/+7//m6yfvffeOx577LHcAqkrVqyIc845p8H/sZ8xY0b86Ec/yt3+f//v/8Wvf/3rKCoqatTzlZWVxfXXXx+33HLLhjefRwsXLozvfve7udt77713PPDAA1FaWtqox7dt2zb+8z//Mx5++OE19tV+rWeeeeZaj57Zc8894/TTT8/d/uUvf7nGmIkTJ8bYsWMjYmWQ9Lvf/W6NRYPX1mdLvNLWsmXL4qabbsrdvvrqq2OXXXYp2PONGTMmpk+fHhErP5O/+93vGh3GlZWVNfpzsaHmzZsXK1asiIiI7t27r7PHLbfcstFzb7fddrnt2qffAVB4whkASKCsrCxOPPHEmDBhQlx99dW5X7A++uijOPLII5vl6jS1tWnTJvbee+/49a9/HePHj4/tt98+t++8886LRx55ZK2Pv/baa+Puu+/O3T7llFPixRdfjKOPPrrB/93v0aNHnHvuuVFZWRn/8R//0SIXpb3nnnvi2muvzd3+8pe/HK+99lqcfPLJ0aFDh3ofs8UWW8S3v/3teOONN+KKK66oN6T6/e9/n1vjo6SkJB555JE4+OCD1xg3ZMiQ+Nvf/hbt2rWLiIjJkyfHnXfeWe/znnXWWblFdPfYY494/vnn13pJ7YqKivjRj34UM2bMiAMOOKDBcSn9/Oc/jzfffDMiVl6q/emnn44TTzyx3rEdOnSIoUOHxu23396k5/rss8/ijDPOyJ1ydvjhh8eTTz651kWud9ttt/iv//qvePfdd5ttQeBly5bFtGnTImJlsLauy36fddZZ8eKLL8YZZ5wR22yzTb1jOnbsGFdddVUMGDAgIlaeOreuP/MA5FfLu24iADSThx56aI1FL2v/8tK/f/948cUX13jcV7/61dzaDA3p1atXXH/99XXu69ixY3Tp0iV22GGH2HXXXdf4H+9nnnkmTjrppDWuiJQvP/nJT+pcAaddu3bRpUuX6NatW/Tr12+NSwl/+umnceaZZzYYBqxu6NCh8f7778f3vve9iFj5i+t9990XixYtigkTJsTs2bOjqqoqunfvHjvuuGPsvvvusdlm//p/otWvQNRSnH/++TF37tz42c9+FkVFRbHDDjvEHXfcEbfccks8//zzMWvWrFiwYEFstdVWsd1220W/fv3q/Gzre13Lly+PYcOGxbhx46J79+7Ro0ePGDt2bLz00ku50GbPPfesc/WuOXPmxLBhw3Lhwepee+21GDZsWPzxj3+MsrKy6N27d/zjH/+Id999NyZOnBgfffRRtGvXLrp16xZ77LFHoxcjTmnhwoVx3HHHxaOPPhpbb711dOvWLe66664YOXJkPPPMM/Hhhx9G+/bto6KiIvr16xelpaV1FrZdX4899licccYZcfPNN0dxcXEMHDgwJk6cGNOmTYsXX3wxPv300+jQoUNss802seeeeyY79WfMmDHxn//5nxER8bvf/S6GDx8eb775Zu70woiVn9tV9txzz7jpppvihhtuiMrKynj11Vfjo48+irZt28bnPve52H///etcEeuqq66K9957r/leEAAREZEppZRSrbFmzJiRNcX2229f73yXXnppk+abPHly9p3vfCfbbLPN8vr6tt9++yb18+GHH2a/+MUvsvLy8iY971e+8pVs8uTJjX6+jz/+OLviiiuyTp06NelnN3z48Gb5vOy3337ZY4891ujXtWjRouyGG27Iunfv3uCcvXr1atR7NWnSpGynnXZqVJ+77757NnHixEb3+dZbb2V77LFHvXONGjVqvd7n2j+Xhv6cNGXu7bbbLnviiSca9XqeeuqpeueobV2v4+CDD87eeOONRr+Hr7zyStajR4815hk+fHhuzKhRo9brz+yMGTMaHNepU6fs1VdfXWtPq8Z+//vfb/TrWLp0afbjH/+4Wf48KaWUqluOnAGAZlBTUxMLFiyIBQsWxCeffBKvvPJKTJo0KZ566qk1rrzTXBYtWhTz58+P+fPnx1tvvRWTJ0+O559/Pv7xj3/EsmXLmjzvww8/HA8//HAcdNBB8aUvfSkGDx4c5eXl0a1bt2jbtm3MmzcvZs6cGRMnTozHHnssHnjggQ16vuby3HPPxaGHHhr9+vWLr3zlKzFkyJDYfvvto2vXrtGhQ4eYP39+vP/++zF58uR44okn4s9//nOdy4zXZ/r06dG/f/844YQT4vjjj4999tknd7WruXPnxoQJE+Kee+6JMWPGNLrPl19+OQYMGBCHHXZYHHPMMXHAAQfE5z73uejSpUtUV1fHhx9+GNOmTYvnnnsuHnnkkXj22Wc36H1pDu+++24cfPDBMWTIkPja174WBx10UPTo0SM233zzqKqqinfeeScmT54cDz30UNx///0b/HxPPPFE9O7dO4499tg44ogjYr/99ottttkmNt9881i8eHHMmTMnpk6dGs8880w8/PDDzf5neOHChbHPPvvEGWecEUcddVT06dMnunTpkjv9rbZf/OIXMWbMmDjssMNi//33j9122y122GGH2HzzzeOzzz6LefPmxZQpU+Lxxx+P3/zmN/Huu+8262sBYKU2sTKlAQAAACABCwIDAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCxakbID/atWsXu+++e0REzJ07N1asWJG4IwAAANj0FBUVRffu3SMi4uWXX45ly5Zt8JzCmU3E7rvvHhMnTkzdBgAAALQaAwYMiEmTJm3wPE5rAgAAAEjIkTObiLlz5+a2BwwYELNnz07YDQAAAGyaevTokTtzpfbv4htCOLOJqL3GzOzZs2PWrFkJuwEAAIBNX77We3VaEwAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJFScugFar5Ky0uiydfdoV1oayxYvjnlz5kZ11eLUbQEAAECzEs7Q7CoG9IsDhh4fuw4ZFEXF//oIrqipiVcffzLG3zUmKie+kLBDAAAAaD7CGZpNeZ9dYtiVl0SPXhX17i8qLo49Dh8Sexw+JGZPr4w7L748Zk2Z1sxdAgAAQPOy5gzNYpeBA+LM0Tc3GMysrkevijhz9M2xy8ABBe4MAAAA0hLOUHDlfXaJESOvipLS0vV6XElpaYwYeVWU99mlQJ0BAABAesIZCm7YlZesdzCzSklpaQy78pI8dwQAAAAth3CGgqoY0K/RpzI1pEeviqjov1eeOgIAAICWRThDQR0w9Pi8zLN/nuYBAACAlkY4Q8GUlJXGrkMG5WWu3Q4dHCVlTTs1CgAAAFoy4QwF02Xr7lFUnJ+rtRcVF0fn7t3yMhcAAAC0JMIZCqZdExcBbkhJWVle5wMAAICWQDhDwSxbvDiv81VXVeV1PgAAAGgJhDMUzLw5c2NFTU1e5lqxvCbmz/0wL3MBAABASyKcoWCqqxbHq48/mZe5Xnl8XFRX5fdIHAAAAGgJhDMU1Pi7xuRlnmfyNA8AAAC0NMIZCqpy4gsxe3rlBs0xe3plVE56MU8dAQAAQMsinKHg7rz48qhu4uLA1YsXx50XX57njgAAAKDlEM5QcLOmTIvR51y03gFN9eLFMfqci2LWlGkF6gwAAADSE87QLKY9OzFuHHFGo09xmj29Mm4ccUZMe3ZigTsDAACAtIpTN0DrMWvKtLj2uG9GRf+9YtDJw2LXQw6qs39FTU288ti4eOauMdaYAQAAoNUQztDsKie9GB9UzohdD3m4zv1XHXlifDLr/URdAQAAQBpOa6LFaOqiwQAAALAxE84AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQ0EYbznTr1i2OOOKI+MlPfhJ//etf48MPP4wsyyLLshg1atR6z/elL30pxowZEzNnzoylS5fGzJkzY8yYMfGlL32p0XN06NAhfvCDH8SECRPi448/joULF8brr78e11xzTWy77bbr3RMAAACw6StO3UBTzZ07N29z/fKXv4zTTjutzn09e/aMnj17xnHHHRe33HJLnH766WudY6eddoqHHnooevfuXef+Pn36RJ8+feLUU0+Nr3/96/Hwww/nrW8AAABg47fRHjlT27vvvhuPPPJIkx7705/+NBfMvPDCCzF06NAYMGBADB06NF544YWIiDjttNPiiiuuaHCOsrKyePDBB3PBzK9+9asYMmRIDBw4MH70ox/FwoULo0uXLnH33XfHbrvt1qQ+AQAAgE1XtjHWZZddlh1xxBFZ9+7ds4jItt9++2yVUaNGNWqOioqKbNmyZVmWZdnzzz+ftW/fvs7+Dh06ZM8//3yWZVm2bNmybKeddqp3nksvvTT33D/4wQ/W2L/ffvvlnuexxx4ryPtRXl6e66G8vDz5z2ddVbZFl+y6V56tU2VbdEnel1JKKaWUUkoptbYqxO/fG+2RM5dddlk89NBDG3R607nnnhtt27aNiIizzjorli5dWmf/kiVL4qyzzoqIiLZt28Y555yzxhzFxcXxve99LyIiXn/99bjuuuvWGPPcc8/F7bffHhERQ4YMiX79+jW5ZwAAAGDTstGGM/lw9NFHR0TElClTYsKECfWOmTBhQkydOjUiIo455pg19h988MGxxRZbRETEHXfcEVmW1TvP6NGjc9vHHXfcBnQNAAAAbEpabTiz4447Rs+ePSMiYty4cWsdu2r/tttuGzvssEOdfQcddNAa4+ozadKkWLRoUUREHHjggU1pGQAAANgEtdpwpk+fPrntVUfGNKT2/tqPW595VqxYEZWVlfXOAQAAALReG+2ltDfUtttum9t+77331jp25syZ9T6u9u1FixbF/Pnz1znPHnvsEd27d4927drFsmXLGt1veXn5Wvf36NGj0XMBAAAALUerDWc6deqU2151ulFDqqqqctsdO3asd551zVHfPJ988kmjeo1Yd4AEAAAAbJxa7WlN7du3z22v6wiW6urq3HaHDh3qnacxR8GsbR4AAACgdWq1R87Uvmx2u3bt1jq2pKQkt71kyZJ651nXHOuaZ11WLV7ckB49esTEiRPXa04AAAAgvVYbzixcuDC3vfqpSqsrKyvLba9++tKqedY1x7rmWZdZs2at13gAAABg49BqT2uqvYbLuo5Kqb0IcO3FgWvP07Fjx+jcuXOj5pk7d+56LQYMAAAAbLpabTjz+uuv57Z79+691rG190+ZMqVJ8xQVFUVFRUW9cwAAAACtV6sNZ2bMmJE7VWjw4MFrHTto0KCIWHmUzNtvv11n39NPP53bXts8/fv3z536NH78+Ka0DAAAAGyCWm04ExHxl7/8JSIi+vTpE/vuu2+9Y/bdd9/o06dPnfG1PfHEEzFv3ryIiBg+fHiDzzVixIjc9r333tvEjgEAAIBNTasOZ0aOHBnLly+PiIjrr7++zuW1I1ZeJvv666+PiIjly5fHyJEj15hj+fLl8b//+78REdG3b9/4wQ9+sMaY/fbbL7797W9HxMowZ9KkSfl8GQAAAMBGbKO9WtMBBxwQO++8c+52165dc9s777zzGkex3HHHHWvMMX369Lj22mvjhz/8YQwYMCDGjx8fV199dVRWVkZFRUVceOGF0a9fv4iIuOaaa+LNN9+st5drrrkmTjzxxPj85z8f11xzTey8885x1113xZIlS+KQQw6JH/3oR9G2bdtYvHhxnHPOOXl49QAAAMCmJNsYa9SoUdn6aGieNm3aZLfddttaH3vrrbdmbdq0WWs/FRUV2RtvvNHgHPPmzcuOOOKIgr0f5eXluecqLy9P/vNZV5Vt0SW77pVn61TZFl2S96WUUkoppZRSSq2tCvH7d6s+rSkiIsuyOPXUU+OrX/1q3HfffTFr1qyorq6OWbNmxX333Rdf+cpX4jvf+U6szHcaVllZGXvttVdccMEFMXHixPj000+jqqoqpk6dGr/4xS9i9913j4ceeqiZXhUAAACwsWgTK1MaNnLl5eXx3nvvRUREz549c1eiaqnKtugSlz/5cJ37Lhn0laj6dF6ahgAAAKARCvH7d6s/cgYAAAAgJeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgoeLUDQAArVNJWWl02bp7tCstjWWLF8e8OXOjumpx6rYAAJqdcAYAaFYVA/rFAUOPj12HDIqi4n/9U2RFTU28+viTMf6uMVE58YWEHQLQXAT1sJJwBgBoFuV9dolhV14SPXpV1Lu/qLg49jh8SOxx+JCYPb0y7rz48pg1ZVozdwlAcxDUQ13CGQCg4HYZOCBGjLwqSkpLGzW+R6+KOHP0zTH6nIti2rMTC9wdAM1FUA/1syAwAFBQ5X12Wa9gZpWS0tIYMfKqKO+zS4E6A6A57TJwQJw5+uYGg5nVrQrqdxk4oMCdQXrCGQCgoIZdecl6BzOrlJSWxrArL8lzRwA0N0E9rJ1wBoAkSspKY+uddohtd+0bW++0Q5SUNe2Xd1q2igH9Gv0/pA3p0asiKvrvlaeOAEhBUA9rZ80ZAJqVBQBblwOGHp+XefYfenxUTnoxL3MB0LzyGdT7u4BNlXAGgGZhAcDWp6SsNHYdMigvc+126OAoKSt1eVWAjZCgHtbNaU0AFJwFAFunLlt3r3N01IYoKi6Ozt275WUuAJpPIYJ62BQJZwAoKAsAtl7tmri2QENKysryOh8AhSeoh8YRzgBQUBYAbL2WLc7vKUjVVVV5nQ+AwhPUQ+MIZwAoGFfqad3mzZkbK2pq8jLXiuU1MX/uh3mZC4DmI6iHxhHOAFAw+VwAkI1PddXiePXxJ/My1yuPj7MYMMBGSFAPjSOcAaAgLABIRMT4u8bkZZ5n8jQPAM1LUA+NI5wBoCAsAEhEROXEF2L29MoNmmP29EqXTgXYiAnqYd2EMwAUhAUAWeXOiy+P6iauOVC9eHHcefHlee4IgOYkqId1E84AUBAWAGSVWVOmxehzLlrvgKZ68eIYfc5FMWvKtAJ1BkBzEdTD2glnACgICwBS27RnJ8aNI85o9P+czp5eGTeOOCOmPTuxwJ0B0BwE9bB2whkACsICgKxu1pRpce1x34ybTvn3eHXsU2vsX1FTEy898ljcdMq/x7XHfdM/xAE2MYJ6aFh+VmoEgHqMv2tM7HH4kA2exwKAm5bKSS/GB5UzYtdDHq5z/1VHnhifzHo/UVcANIdVQX1F/71i0MnDYtdDDqqzf0VNTbzy2Lh45q4x1pihVRHOAFAwqxYA7NGroslzWACw9WjqWgQAbHwE9VCX05oAKCgLAAIAjSWop7USzgBQUBYABACAtRPOAFBwFgAEAICGtfpwJsuyRtXYsWPXOdeXvvSlGDNmTMycOTOWLl0aM2fOjDFjxsSXvvSlZnglAC2bK/UAAED9LAicJ7/85S/jtNNOq3Nfz549o2fPnnHcccfFLbfcEqeffnqi7gBaDgsAAgBAXcKZf7rpppvipptuanB/VVVVg/t++tOf5oKZF154IX7+859HZWVlVFRUxAUXXBD9+vWL0047LT788MP48Y9/nPfeATYFFgAEAKC1Es7809y5c+O1115b78etCmAiIiZOnBiDBg2KpUuXRkTEpEmT4v77749x48bFgAED4sILL4xRo0bFW2+9ldfeAQAAgI1Xq19zZkOde+650bZt24iIOOuss3LBzCpLliyJs846KyIi2rZtG+ecc05ztwgAAAC0YMKZDXT00UdHRMSUKVNiwoQJ9Y6ZMGFCTJ06NSIijjnmmOZqDQAAANgICGc2wI477hg9e/aMiIhx48atdeyq/dtuu23ssMMOhW4NAAAA2EhYc+afvva1r8WwYcNiu+22i5qamvjggw/imWeeidGjR8cTTzxR72P69OmT2151ZExDau/v06dPvP322+vVX3l5+Vr39+jRY73mAwAAAFoG4cw/feELX6hzu1OnTtGrV68YPnx43HvvvTFixIhYsGBBnTHbbrttbvu9995b6/wzZ86s93GNta75AQAAgI1Tqw9nqqqq4v7774/HHnsspk6dGosWLYpu3brF4MGD4/TTT4+uXbvGscceG1tssUUcdthhUVNTk3tsp06dctuLFi1a5/Os0rFjx/y/EAAAAGCj1OrDmfLy8pg/f/4a9//jH/+I66+/Ph5++OHo169fHHzwwXHGGWfE9ddfnxvTvn373PayZcvW+jzV1dW57Q4dOqx3n6vWtmlIjx49YuLEies9LwAAAJBWqw9n6gtmVpk7d26ccMIJMWXKlCgpKYmzzjqrTjhT+7LZ7dq1W+vzlJSU5LaXLFmy3n3OmjVrvR8DAAAAtHyu1rQOM2bMiEcffTQiInr16lVn4d2FCxfmttd1qlJZWVlue12nQAEAAACth3CmEV5//fXcdu2rJtVepHddpx3VXgS49uLAAAAAQOsmnGmENm3a1Ht/7dCmd+/ea52j9v4pU6bkpzEAAABgoyecaYS+ffvmtt9///3c9owZM3JrwQwePHitcwwaNCgiVh5t8/bbb+e/SQAAAGCjJJxZhx133DEOO+ywiIiorKysE85ERPzlL3+JiIg+ffrEvvvuW+8c++67b/Tp06fOeAAAAICIVh7OHHnkkVFUVNTg/u7du8c999yTuxLTjTfeuMaYkSNHxvLlyyMi4vrrr69zee2IlZfbXnWFp+XLl8fIkSPz1D0AAACwKWjVl9K+/vrro23btjFmzJh49tln4+23344lS5ZE165d4+CDD47TTz89unbtGhERTz31VL3hzPTp0+Paa6+NH/7whzFgwIAYP358XH311VFZWRkVFRVx4YUXRr9+/SIi4pprrok333yzWV8jAAAA0LK16nAmYuXVl84+++w4++yzGxxzzz33xKmnnhrLli2rd//FF18c3bt3j29/+9vRr1+/+OMf/7jGmNtuuy3+8z//M299AwAAAJuGVh3ODB8+PAYPHhwDBw6MnXbaKbp27Rqbb755LFq0KGbOnBnPPPNM3HHHHfHcc8+tdZ4sy+LUU0+NMWPGxHe/+90YMGBAdO3aNT766KOYOHFi3HLLLfG3v/2tmV4VAAAAsDFp1eHMk08+GU8++WTe5nv44Yfj4Ycfztt8AAAAwKavVS8IDAAAAJCacAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJBQceoGAAAAgNanpKw0umzdPdqVlsayxYtj3py5UV21OHVbSQhnAAAAgGZTMaBfHDD0+Nh1yKAoKv5XLLGipiZeffzJGH/XmKic+ELCDpufcAYAAAAouPI+u8SwKy+JHr0q6t1fVFwcexw+JPY4fEjMnl4Zd158ecyaMq2Zu0zDmjMAAABAQe0ycECcOfrmBoOZ1fXoVRFnjr45dhk4oMCdtQzCGQAAAKBgyvvsEiNGXhUlpaXr9biS0tIYMfKqKO+zS4E6azmEMwAAAEDBDLvykvUOZlYpKS2NYVdekueOWh7hDAAAAFAQFQP6NfpUpob06FURFf33ylNHLZNwBgAAACiIA4Yen5d59s/TPC2VcAYAAADIu5Ky0th1yKC8zLXboYOjpKxpp0ZtDIQzAAAAQN512bp7FBUX52WuouLi6Ny9W17maomEMwAAAEDetWviIsANKSkry+t8LYlwBgAAAMi7ZYsX53W+6qqqvM7XkghnAAAAgLybN2durKipyctcK5bXxPy5H+ZlrpZIOAMAAADkXXXV4nj18SfzMtcrj4+L6qr8HonTkghnAAAAgIIYf9eYvMzzTJ7maamEMwAAAEBBVE58IWZPr9ygOWZPr4zKSS/mqaOWSTgDAAAAFMydF18e1U1cHLh68eK48+LL89xRyyOcAQAAAApm1pRpMfqci9Y7oKlevDhGn3NRzJoyrUCdtRzCGQAAAKCgpj07MW4ccUajT3GaPb0ybhxxRkx7dmKBO2sZilM3AAAAAGz6Zk2ZFtce982o6L9XDDp5WOx6yEF19q+oqYlXHhsXz9w1ZpNfY2Z1whkAAACg2VROejE+qJwRux7ycJ37rzryxPhk1vuJukrLaU0AAABAck1dNHhTIJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcCbPtt1227jmmmvi9ddfj0WLFsXHH38cEyZMiPPOOy86dOiQuj0AAACghSlO3cCm5Ktf/Wr8/ve/jy5duuTuKysri3322Sf22WefOPXUU+OrX/1qzJgxI12TAAAAQIviyJk82X333eNPf/pTdOnSJRYuXBg/+tGPYuDAgTFkyJD41a9+FRERvXv3joceeijKysoSdwsAAAC0FI6cyZORI0dGWVlZLF++PA4//PB47rnncvvGjh0b06dPj2uuuSb69OkT3//+9+OKK65I2C0AAADQUjhyJg/69+8fhxxySERE3H777XWCmVWuu+66eP311yMi4pxzzoniYrkYAAAAIJzJi2OOOSa3PWrUqHrHZFkWv/nNbyIiYsstt4yDDz64GToDAAAAWjrhTB4cdNBBERGxaNGimDx5coPjxo0bl9s+8MADC94XAAAA0PI5tyYP+vTpExERb775ZqxYsaLBcVOnTl3jMYVS1qVzRJs2TXrs8qVLY9mSpfXu67D55rFZUdMyvZrqZVG9eHGD+0s7d27SvCuWL4+li6rq3de+Y1kUtW3btHlramLpwkX17ispLY3iknZNmvezFZ/FkgUL6t3XrkP7aNu+fZPmjSyLqnnz691VXFISJaVNv5R71afz6r2/qG3baN+x6QtcL543P7IsW3Pe4uJo36ljk+ddsmBhfFbPn8XNioqiw+admjzv0oWLYkVNzRr3t2nTJkq7NO3zGxGxdFFVrFi+vN59ZVt0afK81YuXRE11df3zJv6OqO/Pe7sOHRr8rLXv1DGKmng6qO+If2ph3xH1fQZWv893xD/nbYXfEfVZ278jfEestCl9RzSG74h/zrsJfUdENP13At8RK21M3xHr+lm35O+IQhDObKCSkpLo1q1bRES89957ax07b968WLRoUXTs2DG23Xbb9Xqe8vLyte7v0aNHndsX/OXO6LjlFuv1HKs8ctNt8febb69333/ccXNss/NOTZp3/F1j4s9XXtvg/oseuKtJ8/7f3x+P35x3cb37/u0nP4o9Dh/SpHnfnPhC3PytM+vdd8S5/x4HDD2+SfN+8OZbcc2x36h338EjvhFf+vdTmzTvok8+jUsHf7Xeffsee2Qcd/EPmjRvRMR5uw2s9/4vHHJQDL/uyibPe8mgr9T7D7Yd9twt/n3UTU2e9+fHfD3mVK55yfpuO2wXF9z3hybPe9Mp/x6Vk15c4/7SLp3j8icfbvK8d5x3cbz898fr3bch8/75ymtj/F1j6t3XEr8jDjv9lPjTJf9V775T/ufq2HlAvybN6ztipY3hO2L1vwd8R6zkO2Kltf07wnfESpv6d8TqfEestCl9R0Q0/XcC3xErbYzfEQ1pyd8RsXRZkx/fEOHMBurU6V/p+aJF9SeftVVVVUXHjh2jY8f1S+rWFfwAAAAAGyfhzAZqX+uwsGXL1p2eVf/z0MAOHZp+aOimoOrTeXX+F+WMX9/Y5DSbjVft/81pKNmm9aipzv//QADQcrUvK03dAomt/jvB+ff+vslH17HxaujoutZGOLOBli791/mS7dqt+7zAkpKSiIhYsmTJej1Pz54917q/R48eMXHixPWaEwAAAEivTUSsuUIOjVZSUpILaB588ME46qij1jp+4cKF0bFjx3j22Wdj//33z1sf5eXluVOfevbsGfOqFlnILyzStUpLW8ivtHPnta4tYSG/f9nYFvLzHbGS74iVWvJCfr4j0n9H1Pd3wVVHDY3F8+v/nPqOWGlT+o7YvHu3uPSx++vct7bPwOp8R/xz3k30O2J9+Y5YaVP6jmjJ/47osc02dX7/njVrVpPnW8WRMxuouro6Pvzww+jWrds6j27p0qVLbq2ZmTNnFrSvhv7gbKiG/qBvqIa+mDZ43ga+SDdU9eLFa73yVFMtW7L21eubqqa6usG/XDfEiuXLC3Iq0oqamoLM+9mKFQWZN8uygp2SVbB5fUesnNd3RET4jljFd0SteRN9RyyeP79Jr8l3xEob43fE6pr6Gagzr++InE3tO6KpfEestDF+R2xM/47YUE2LJaljypQpERGx8847R1FRUYPjevfuvcZjAAAAgNZNOJMHTz/9dEREdOzYMfbee+8Gxw0ePDi3PX78+IL3BQAAALR8wpk8uO+++3Lbp5xySr1j2rRpEyeffHJERHz66acxduzY5mgNAAAAaOGEM3kwceLEePLJJyMi4tvf/nbst99+a4w577zzom/fvhER8T//8z9RU89iYAAAAEDrY0HgPPne974X48ePj9LS0vj73/8e//Vf/xVjx46NDh06xNChQ+O0006LiIg33ngjrrvuusTdAgAAAC2FcCZPXnrppTjxxBPjd7/7XXTu3Dl+9rOfrTHmjTfeiCOOOCIWLSrMauEAAADAxsdpTXn04IMPxu677x6/+MUv4o033oiqqqr49NNPY+LEiXHBBRfEXnvtFZWVlanbBAAAAFoQR87k2bvvvhvnnXdenHfeealbAQAAADYCjpwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwBAi1BSWpq6BQBIojh1AwAAtC4VA/rF4JOHrXH/RQ/+KV59fFyMv2tMVE58IUFnAJCGcAYAgGZR3meXGHblJdGjV0W9+4uKi2KPw4fEHocPidnTK+POiy+PWVOmNXOXAND8nNYEAEDB7TJwQJw5+uYGg5nV9ehVEWeOvjl2GTigwJ0BQHrCGQAACqq8zy4xYuRV672mTElpaYwYeVWU99mlQJ0BQMsgnAEAoKCGXXlJkxf7LSktjWFXXpLnjgCgZRHOAABQMBUD+jX6VKaG9OhVERX998pTRwDQ8ghnAAAomAOGHp+XefbP0zwA0BIJZwAAKIiSstLYdcigvMy126GDo6SsaadGAUBLJ5wBAKAgumzdPYqKi/MyV1FxcXTu3i0vcwFASyOcAQCgINo1cRHghpSUleV1PgBoKYQzAAAUxLLFi/M6X3VVVV7nA4CWQjgDAEBBzJszN1bU1ORlrhXLa2L+3A/zMhcAtDTCGQAACqK6anG8+viTeZnrlcfHRXVVfo/EAYCWQjgDAEDBjL9rTF7meSZP8wBASyScAQCgYConvhCzp1du0Byzp1dG5aQX89QRALQ8whkAAArqzosvj+omLg5cvXhx3Hnx5XnuCABaFuEMAAAFNWvKtBh9zkXrHdBUL14co8+5KGZNmVagzgCgZRDOAABQcNOenRg3jjij0ac4zZ5eGTeOOCOmPTuxwJ0BQHrFqRsAAKB1mDVlWlx73Dejov9eccCwE2LXIYOiqPhf/xxdsbwmXnl8XDxz1xhrzADQqghnAABoVpWTXozKSS9GSVlpdO7eLUrKyqK6qirmz/3Q5bIBaJWEMwAAJFFdtTjmzngndRsAkJw1ZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJNTqw5mxY8dGlmWNqsbo27dv3HzzzTF9+vRYvHhxzJ07N8aNGxff/e53o6ioqMCvBgAAANjYFKduYFPyrW99K2688cZo37597r4OHTpEt27dYtCgQTFixIg48sgj45NPPknYJQAAANCSCGf+aeLEiXHKKac0+fGHH354/OpXv4qioqL44IMP4sorr4wJEybElltuGd/5znfi+OOPj4EDB8af//znOOSQQxp9JA4AAACwaRPO/FNVVVW89tprTXpsUVFR3HDDDVFUVBTz58+PAw44IN56663c/kceeSRuuOGGOPPMM2Pw4MHxzW9+M37729/mq3UAAABgI9bq15zJh2OPPTZ69eoVERE/+9nP6gQzq5x//vm505nOP//8Zu0PAAAAaLmEM3lwzDHH5LZHjx5d75glS5bEn/70p4iI2G233WLnnXduhs4AAACAlk44kwcHHXRQRERMnTo15syZ0+C4cePG5bYPPPDAgvcFAAAAtHzCmX/q3bt3PP/887FgwYJYsmRJzJw5M+6777446aSTori44aV5ysrKomfPnhGxMpxZm9r7+/Tpk5/GAQAAgI2aBYH/aZtttoltttkmd7tnz57Rs2fPOProo+PCCy+ME044od7wpWfPnrHZZiszrvfee2+tzzFz5szc9rbbbrte/ZWXl691f48ePdZrPgAAAKBlaPXhzGeffRb/+Mc/4q9//Wv83//9X3z88cfRqVOn6NevX5x22mnRt2/f+MIXvhBjx46NffbZp07AEhHRqVOn3PaiRYvW+lxVVVW57Y4dO65Xn+sKfgAAAICNU6sPZ4477riYP3/+Gvc//fTTcdNNN8Wtt94aI0aMiG222SZGjhwZxx9/fJ1x7du3z20vW7Zsrc9VXV2d2+7QocMGdg4AAABsCjaKcKaoqChqamo2eJ4RI0bEHXfcUee++oKZVWpqauLUU0+NfffdN/r06RPHHXdcfO5zn4v3338/N2bp0qW57Xbt2q31+UtKSnLbS5YsWa/eV61r05AePXrExIkT12tOAAAAIL2NIpxJacWKFXH77bfHtddeGxERgwcPjjvvvDO3f+HChbntdZ2qVFZWltte1ylQq5s1a9Z6jQcAAAA2DhtFOLNixYro3bv3Bs8ze/bsJj3u9ddfz22vvjBv7bVg1nV0S+1FgFdfuwYAAABonTaKcCYi4o033kj23G3atGlwX1VVVbz77rux3XbbrTNAqr1/ypQpeesPAAAA2HhtlrqBjUHfvn1z27XXm1nl6aefjoiV4cvWW2/d4DyDBw/ObY8fPz6PHQIAAAAbK+HMOhQVFcW3vvWt3O0nn3xyjTH33XdfbnvEiBH1ztOhQ4f4t3/7t4iIeO2112L69Ol57RMAAADYOLXqcObggw+Ozp07N7i/uLg4brvttujTp09ERNx///111phZ5d57740333wzIiJ++MMfxk477bTGmGuuuSa23HLL3DYAAABAxEa05kwhDB8+PO6///64//7744knnog33ngjFixYEB07doy99947TjvttNwpTXPmzInvfe979c5TU1MTZ599djzwwAPRuXPnGD9+fPz0pz+N559/PrbYYov4zne+EyeccEJERDz11FPx29/+ttleIwAAANCytepwJiKiU6dO8Y1vfCO+8Y1vNDjm5ZdfjqFDh8bbb7/d4JiHH344Tj/99Ljhhhtim222iRtuuGGNMRMmTIhjjz02Pvvss3y0DgAAAGwCWnU4c/XVV8dLL70UAwcOjL59+0a3bt1iyy23jOrq6pgzZ05MmjQp7rnnnrj33nsbFajcdttt8eyzz8bZZ58dhx56aHzuc5+LqqqqmDJlSvz+97+P2267LVasWNEMrwwAAADYWLTqcGbq1KkxderU+J//+Z+8zfnaa6/Faaedlrf5AAAAgE1bq14QGAAAACA14QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QzQIpSUlqZuAQAAIIni1A0ArUvFgH4x+ORha9x/0YN/ilcfHxfj7xoTlRNfSNAZAABAGsIZoFmU99klhl15SfToVVHv/qLiotjj8CGxx+FDYvb0yrjz4stj1pRpzdwlAABA83NaE1BwuwwcEGeOvrnBYGZ1PXpVxJmjb45dBg4ocGcAAADpCWeAgirvs0uMGHnVeq8pU1JaGiNGXhXlfXYpUGcAAAAtg3AGKKhhV17S5MV+S0pLY9iVl+S5IwAAgJZFOAMUTMWAfo0+lakhPXpVREX/vfLUEQAAQMsjnAEK5oChx+dlnv3zNA8AAEBLJJwBCqKkrDR2HTIoL3PtdujgKClr2qlRAAAALZ1wBiiILlt3j6Li4rzMVVRcHJ27d8vLXAAAAC2NcAYoiHZNXAS4ISVlZXmdDwAAoKUQzgAFsWzx4rzOV11Vldf5AAAAWgrhDFAQ8+bMjRU1NXmZa8Xympg/98O8zAUAANDSCGeAgqiuWhyvPv5kXuZ65fFxUV2V3yNxAAAAWgrhDFAw4+8ak5d5nsnTPAAAAC2RcAYomMqJL8Ts6ZUbNMfs6ZVROenFPHUEAADQ8ghngIK68+LLo7qJiwNXL14cd158eZ47AgAAaFmEM0BBzZoyLUafc9F6BzTVixfH6HMuillTphWoMwAAgJZBOAMU3LRnJ8aNI85o9ClOs6dXxo0jzohpz04scGcAAADpFaduAGgdZk2ZFtce982o6L9XHDDshNh1yKAoKv7XV9CK5TXxyuPj4pm7xlhjBgAAaFWEM0Czqpz0YlROejFKykqjc/duUVJWFtVVVTF/7oculw0AALRKwhkgieqqxTF3xjup2wAAAEjOmjMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABLaaMOZsrKyOOigg+K8886LP/7xj/HWW29FlmWRZVnMmDFjvefr27dv3HzzzTF9+vRYvHhxzJ07N8aNGxff/e53o6ioqNHznHjiifG3v/0t3n///ViyZEnMmDEjfvOb38S+++673j0BAAAAm77i1A001QMPPBCHHHJIXub61re+FTfeeGO0b98+d1+HDh2iW7duMWjQoBgxYkQceeSR8cknnzQ4R0lJSdx9991x1FFH1bl/hx12iB122CG+/vWvx2WXXRY//elP89IzAAAAsGnYaI+cadOmTW77k08+ib///e+xcOHC9Z7n8MMPj1/96lfRvn37+OCDD+Kss86KffbZJ7785S/HmDFjIiJi4MCB8ec//7nOc67u9ttvzwUzjz/+eBx99NExYMCA+Na3vhVvvvlmFBUVxRVXXBHf/va317tHAAAAYNOWbYz1ne98Jxs2bFhWUVGRu2/GjBlZlmXZjBkzGjVHUVFRNm3atCzLsmzevHnZTjvttMaYG264IVvlpJNOqneeQYMG5cb85S9/yTbbbLM6+7faaqvs7bffzrIsyz7++OOsc+fOeX8/ysvLcz2Ul5cn//kopZRSSim1tirbokt23SvP1qmyLbok70sppdZVhfj9e6M9cubWW2+NO++8MyorK5s8x7HHHhu9evWKiIif/exn8dZbb60x5vzzz8+dznT++efXO88FF1wQERE1NTXx7//+7/HZZ5/V2f/xxx/HhRdeGBERW265paNnAAAAgJyNNpzJh2OOOSa3PXr06HrHLFmyJP70pz9FRMRuu+0WO++8c539ZWVlceihh0ZExKOPPhqzZs2qd54///nPMX/+/IiIOO644zawcwAAAGBT0arDmYMOOigiIqZOnRpz5sxpcNy4ceNy2wceeGCdffvss09uIeHa41a3fPnyeO6553KPKS7eaNdiBgAAAPKo1YYzZWVl0bNnz4hYGc6sTe39ffr0qbOv9u3GztO2bdvc6VQAAABA69ZqD9/o2bNnbLbZymzqvffeW+vYmTNn5ra33XbbOvtq317feaZMmdLofsvLy9e6v0ePHo2eCwAAAGg5Wm0406lTp9z2okWL1jq2qqoqt92xY8eCzLMu6wp+AAAAgI1Tqz2tadU6MRERy5YtW+vY6urq3HaHDh0KMg8AAADQOhX0yJmioqKoqanZ4HlGjBgRd9xxRx46+pelS5fmttu1a7fWsSUlJbntJUuWFGSedVm1Pk5DevToERMnTlyvOQEAAID0Wu1pTQsXLsxtr+sUo7Kystz26qcu5WuedWnoEt0AAADAxq2g4cyKFSuid+/eGzzP7Nmz89BNXbXXcFnXUSm1F/2tvahvffNMnjy5SfMAAAAArVPBj5x54403Cv0UTVJVVRXvvvtubLfddusMkGrvX/0KS6+//nqdcX/5y1/WOc/y5cvjzTffbErbAAAAwCam1S4IHBHx9NNPR8TK0GTrrbducNzgwYNz2+PHj6+zb+LEibmFfmuPW13btm1jv/32yz1m+fLlTe4bAAAA2HS06nDmvvvuy22PGDGi3jEdOnSIf/u3f4uIiNdeey2mT59eZ/+iRYvisccei4iIL37xi1FeXl7vPMcdd1x07tw5IiLuvffeDewcAAAA2FS06nDm3nvvzZ1e9MMf/jB22mmnNcZcc801seWWW+a263PttddGxMqjY2688cbYbLO6b+tWW20VV199dUREfPrpp3Hbbbfl7TUAAAAAG7eN9mpNFRUVceCBB9a5b9XVkjp27BjDhw+vs+9vf/tbzJkzp859NTU1cfbZZ8cDDzwQnTt3jvHjx8dPf/rTeP7552OLLbaI73znO3HCCSdERMRTTz0Vv/3tb+vtZezYsXHnnXfGsGHD4uijj45HH300Ro4cGe+//37stttucfHFF8f2228fEREXXXRRzJs3Lx9vAQAAALCJyDbGGj58eLY+Bg8e3OBcp556arZ06dIGH/vcc89lW2211Vr7ad++ffbggw82OEdNTU126aWXFuz9KC8vzz1XeXl58p+PUkoppZRSa6uyLbpk173ybJ0q26JL8r6UUmpdVYjfv1v1aU2r3HbbbbH33nvHr371q6isrIwlS5bERx99FE899VScfvrpccABB8THH3+81jmWLl0aRx55ZHz961+Pv//97zFnzpyorq6Od999N37/+9/HgQceGD/5yU+a6RUBAAAAG4s2sTKlYSNXXl4e7733XkRE9OzZM2bNmpW4IwAAaFjZFl3i8icfrnPfJYO+ElWfzkvTEEAjFeL3b0fOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAAABAQsIZAAAAgISEMwAAAAAJCWcAAAAAEhLOAAAAACQknAEAAABISDgDAAAAkJBwBgAAACAh4QwAANAilJSWpm4BIIni1A0AAACtS8WAfjH45GFr3H/Rg3+KVx8fF+PvGhOVE19I0BlAGsIZAACgWZT32SWGXXlJ9OhVUe/+ouKi2OPwIbHH4UNi9vTKuPPiy2PWlGnN3CVA83NaEwAAUHC7DBwQZ46+ucFgZnU9elXEmaNvjl0GDihwZwDpCWcAAICCKu+zS4wYedV6rylTUloaI0ZeFeV9dilQZwAtg3AGAAAoqGFXXtLkxX5LSktj2JWX5LkjgJZFOAMAABRMxYB+jT6VqSE9elVERf+98tQRQMsjnAEAAArmgKHH52We/fM0D0BLJJwBAAAKoqSsNHYdMigvc+126OAoKWvaqVEALZ1wBgAAKIguW3ePouLivMxVVFwcnbt3y8tcAC2NcAYAACiIdk1cBLghJWVleZ0PoKUQzgAAAAWxbPHivM5XXVWV1/kAWgrhDAAAUBDz5syNFTU1eZlrxfKamD/3w7zMBdDSCGcAAICCqK5aHK8+/mRe5nrl8XFRXZXfI3EAWgrhDAAAUDDj7xqTl3meydM8AC2RcAYAACiYyokvxOzplRs0x+zplVE56cU8dQTQ8ghnAACAgrrz4sujuomLA1cvXhx3Xnx5njsCaFmEMwAAQEHNmjItRp9z0XoHNNWLF8focy6KWVOmFagzgJZBOAMAABTctGcnxo0jzmj0KU6zp1fGjSPOiGnPTixwZwDpFaduAAAAaB1mTZkW1x73zajov1ccMOyE2HXIoCgq/tevJCuW18Qrj4+LZ+4aY40ZoFURzgAAAM2qctKLUTnpxSgpK43O3btFSVlZVFdVxfy5H7pcNtAqCWcAAIAkqqsWx9wZ76RuAyA5a84AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAICHhDAAAAEBCwhkAAACAhIQzAAAAAAkJZwAAAAASEs4AAAAAJCScAQAAAEhIOAMAAACQkHAGAAAAIKHi1A2QH0VFRbntHj16JOwEAAAANl21f+eu/bv4hhDObCK6d++e2544cWLCTgAAAKB16N69e7z77rsbPI/TmgAAAAASahMRWeom2HDt2rWL3XffPSIi5s6dGytWrEjc0br16NEjd5TPgAEDYvbs2Yk7ojn5+eMzgM8APgP4DOAz0LptrD//oqKi3NkrL7/8cixbtmyD53Ra0yZi2bJlMWnSpNRtNNns2bNj1qxZqdsgET9/fAbwGcBnAJ8BfAZat43t55+PU5lqc1oTAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJBQm4jIUjcBAAAA0Fo5cgYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMSWy77bZxzTXXxOuvvx6LFi2Kjz/+OCZMmBDnnXdedOjQIXV7FEi3bt3iiCOOiJ/85Cfx17/+NT788MPIsiyyLItRo0albo9msNdee8UPf/jD+Otf/xrvvvtuLF26NBYuXBhvvPFGjBo1Kg488MDULVIgnTp1ihNPPDGuvfbaeOKJJ2L69Okxb968qK6ujjlz5sTYsWPj/PPPjy233DJ1qyRy9dVX5/5OyLIsBg8enLolCqD2z3htNXbs2NSt0gy22mqrOP/88+Ppp5+O2bNnx9KlS2PWrFnx3HPPxc9//vPYb7/9UrdIno0dO7bR3wOt8e+DTKnmrK9+9avZp59+mjVkypQp2Y477pi8T5X/WptRo0Yl708Vtp544om1fgZWueOOO7K2bdsm71fltw499NBG/fznzp2bHX744cn7Vc1bu+++e7Zs2bI6n4XBgwcn70vlvxpr7NixyXtVha0TTjgh+/DDD9f6Obj33nuT96nyW2PHjm3090CWZVlNTU32uc99LnnfzVHFAc1o9913jz/96U9RVlYWCxcujJ/97GcxduzY6NChQwwdOjS++93vRu/eveOhhx6KAQMGRFVVVeqWKZB33303pkyZEl/60pdSt0IzKS8vj4iIWbNmxd133x1PPfVUvPvuu1FUVBQDBw6M8847L3r27Bknn3xyFBcXxze+8Y3EHZNv7777bowdOzYmT54cM2fOjNmzZ8dmm20WPXv2jBNOOCGOO+646NatW9x///0xYMCAeOWVV1K3TDNo06ZN3HrrrdG2bduYM2dObL311qlbohncdNNNcdNNNzW4378BN20nnXRSjBo1KoqKimLOnDlx8803x9NPPx2ffPJJbLPNNlFRURFHHXVULF++PHWr5Nkpp5wSZWVlax3Tt2/f+NOf/hQREY899li8//77zdFai5A8IVKtpx5//PEsy7Js2bJl2X777bfG/h/84Ae5lPTHP/5x8n5Vfuuyyy7LjjjiiKx79+5ZRGTbb7997uftyJlNvx544IHsa1/7WrbZZpvVu3+rrbbKpk6dmvtMHHjggcl7Vvmrhn7utevoo4/O/fzvueee5D2r5qnvfe97WZZl2euvv55deeWVuc+AI2c2zVrl0ksvTd6LSlO9e/fOlixZkmVZlo0bNy7bfPPNGxzrSNrWWVdddVXuu+Ib3/hG8n6asZI3oFpJ9e/fP/eH7Oabb653TJs2bbLXXnsty7Is+/jjj7Pi4uLkfavClXBGrV5HHHFE7jMxcuTI5P2o5q/XX389y7KVpzel7kUVvnr27JktWLAgF8ZceumlwplNvIQz6tFHH819z2+11VbJ+1Etq9q0aZPNnDkzy7IsW7BgQdahQ4fkPTVXWRCYZnPMMcfkthta/DXLsvjNb34TERFbbrllHHzwwc3QGdBSPPHEE7ntioqKdI2QzKpTGdq3b5+4E5rDTTfdFJ06dYrRo0fHuHHjUrcDFNjnP//5+OIXvxgRETfccEN8/PHHiTuipTn00EOjZ8+eERFxzz33xJIlSxJ31HyEMzSbgw46KCIiFi1aFJMnT25wXO1/nLlyC7Qu7dq1y21/9tlnCTshhd69e8eee+4ZERFTp05N2wwF97WvfS2OOuqo+Pjjj+P8889P3Q7QDL72ta/ltu++++7cdpcuXWLnnXd2xT7i5JNPzm2v+k/71kI4Q7Pp06dPRES8+eabsWLFigbH1f4H+arHAK1D7Usl+uW8dejQoUPsvPPOce6558bYsWOjuHjltQr+53/+J3FnFFLnzp1zP+MLL7wwPvroo8Qd0dy+9rWvxdSpU2Px4sWxYMGCmDZtWowePdpR05u4VZfGnjdvXkyZMiW+/vWvx0svvRSffvppTJ8+PT7++OOorKyMSy65ZJ2LxrLpKSsri2OPPTYiIt555506R1S3FsnPrVKbfpWUlOTOMX7ggQfWOX7hwoVZlmXZM888k7x3Vbiy5oyqXW3atMmee+653Gdi7733Tt6TKkwNHz48W5uf//znyXtUha1bbrkly7Ise/rpp+vcb82ZTb8a489//vNaF4lVG2+99dZbWZZl2Ysvvphdf/31a/0cvPzyy1mPHj2S96yar04++eTcz/+KK65I3k9zlyNnaBadOnXKbS9atGid41etOdCxY8eC9QS0LOeee27su+++ERHx5z//ea2nP7JpevHFF2PfffeNCy64IHUrFNABBxwQp556aixfvjxOP/301O3QzKqqquLOO++MU089NQ488MDYc88947DDDouf/vSnuSOojj322PjLX/6SO5KOTceq05Z69+4d//Ef/xGffvppnHbaadGtW7coKSmJ/v37x1//+teIiNhtt93i7rvvjjZt2qRsmWbUmk9pWiV5QqQ2/erZs2cuBb3jjjvWOf6dd97JsizLpk+fnrx3Vbhy5IxaVYMGDcqWLVuWZVmWffDBB7nLratNszp37px94QtfyL7whS9k/fv3z0488cRszJgxue/9I444InmPqjDVtm3b3FUZr7766jX2O3Jm06/OnTs3uK979+7Z5MmTc5+Bs846K3m/Kr+1fPny3M93+fLl2b777rvGmDZt2mQPPfRQbtzxxx+fvG9V+CovL89qamqyLGvVZ08kb0C1guratWvuC/bOO+9c5/gPPvggdzhj6t5V4Uo4oyIi69u3b/bxxx9nWZZlS5YsyQYNGpS8J5WmvvnNb2YrVqzIampqsuHDhyfvR+W/VoUvb7/9dlZaWtrgfuFM660dd9wxW7p0aZZlWTZt2rTk/aj81qqlC7Isy/7whz80OK5v3765cffcc0/yvlXh68ILL8z9zE877bTk/aQopzXRLBYuXJjbbsypSqsWAGvMKVDAxmuHHXaIv//977HllltGTU1NDBs2LJ588snUbZHI7373u7j77rujqKgobrjhhujSpUvqlsijz3/+8/HDH/4wIiLOOuusWLx4ceKOaIlmzJgRjz76aERE9OrVK3r06JG4I/Kp9u8EDz/8cIPjXn/99XjvvfciImLAgAEF74v0TjrppIiIWLp0afzxj39M3E0aTuSkWVRXV8eHH34Y3bp1y123viFdunTJBTgzZ85sjvaABHr06BH/+Mc/ory8PD777LP41re+Fffdd1/qtkjsL3/5S5x44onRsWPH+MpXvhJ33nln6pbIk3PPPTdKSkqisrIySktL48QTT1xjzK677prbHjJkSGyzzTYREfHAAw8Ic1qR119/PY488siIiCgvL4/Zs2cn7oh8mTlzZi5wWxW+rG1sz549o3v37s3RGgntvffe8YUvfCEiIh588MGYN29e2oYSEc7QbKZMmRLdunWLnXfeOYqKihq8nHbv3r3rPAbY9Gy11Vbx6KOPRkVFRUSs/F/03/72t4m7oiX48MMPc9vbb799wk7It5KSkoiIqKioiLvuumud4y+55JLc9g477BDvvPNOwXqjZbEA7Kbrtddei3322SciIoqKitY6dtX+mpqagvdFWrUXAr7jjjsSdpKW05poNk8//XRErDytae+9925w3ODBg3Pb48ePL3hfQPPafPPN45FHHsn9D8mFF14YN910U+KuaCnKy8tz205thdapb9++ue33338/YSfkW+1Tl1f9B01Ddtppp4iImDVrVkF7Iq3i4uIYOnRoRETMnTt3rae7tQbJF75RraMGDBiQW+Tp5ptvrndMmzZtcldx+OSTT7Li4uLkfavClQWBW1916NAhe+qpp3I/9yuuuCJ5T6pl1YMPPmhB2FZcFgRWO+64Y1ZdXZ1lWZa9+eabyftR+a0tt9wy9/N95JFHGhw3aNCg3HfBrbfemrxvVbg66qijcj/r//7v/07eT+JK3oBqRTVu3Lgsy7Js2bJl2X777bfG/h/84Ae5P5yXXnpp8n5VYUs407qqbdu22d/+9jd/AbfSGj58eFZSUrLWMeecc07u8/HWW29lRUVFyftWzVvCmU27jjzyyLX+uV79Utrnnntu8p5V/uvGG2/M/YxPPPHENfZ37Ngxe+GFF3Jj+vfvn7xnVbi6++67cz/rvfbaK3k/KavNPzegWey5554xfvz4KC0tjYULF8Z//dd/xdixY6NDhw4xdOjQOO200yIi4o033oj+/fs7pH0Tc8ABB8TOO++cu921a9e49tprI2LlaW+33XZbnfGt+ZzTTdE999wTxx9/fEREPPbYY3HOOedEljX8V9CyZcti+vTpzdUeBTZjxozo1KlTjBkzJp5++umorKyMRYsWRadOnWK33XaLb3zjG3HggQdGxMpF5I844oh47LHHEndNc7v00kvjsssui4iIgw8+OMaNG5e2IfJqxowZ0bZt2xgzZkw8++yz8fbbb8eSJUuia9eucfDBB8fpp58eXbt2jYiIp556Kr74xS/GsmXLEndNvnXt2jUmTZoU22+/fSxfvjx++ctfxp///OdYsGBB7LbbbnHhhRdGnz59IiLipptuijPPPDNxxxRKly5dYvbs2dG+fft45ZVXYvfdd0/dUnLJEyLVuurII4/M5s2blzVk6tSpWUVFRfI+Vf5r1KhRDf7c65O6X5XfWl8zZsxI3rPKX82YMaNRP/d33303++IXv5i8X5WmHDmzaVdjvwfuvvvurHPnzsn7VYWr3r17Z9OmTVvr5+C2226zxMEmXqeddlru5/2DH/wgeT+py9WaaHYPPvhg7L777vG9730vjjjiiOjZs2csW7Ys3nzzzbj77rvjhhtuiCVLlqRuE4A8OvTQQ+OLX/xiHHLIIdGnT5/YeuutY6uttoqlS5fGnDlz4qWXXooHH3ww/vSnP/k7ADZRw4cPj8GDB8fAgQNjp512iq5du8bmm28eixYtipkzZ8YzzzwTd9xxRzz33HOpW6XApk6dGnvuuWecccYZccIJJ0SvXr2iY8eOMXfu3Bg/fnzccsst8cQTT6RukwI76aSTImLlFbl+//vfJ+4mPac1AQAAACTkUtoAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACQlnAAAAABISzgAAAAAkJJwBAAAASEg4AwAAAJCQcAYAAAAgIeEMAAAAQELCGQAAAICEhDMAAAAACf1/JIP+r5MLkMEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 434,
       "width": 563
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 434,
       "width": 563
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# DCT-II\n",
    "dct_coefficients = []\n",
    "for u in range(N):\n",
    "    total = 0.0\n",
    "    for x in range(N):\n",
    "        total += cosine_basis(x_discrete[x], u) * shifted[x] * (1/sqrt(2) if u == 0 else 1)\n",
    "    dct_coefficients.append(total / 2)\n",
    "    \n",
    "#print(dct_coefficients)\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"1D DCT Coefficients\")\n",
    "_, _, baseline = plt.stem(x_discrete, dct_coefficients, basefmt=\"--\")\n",
    "baseline.set_xdata([-0.5, N-0.5])\n",
    "\n",
    "# DCT-III (iDCT)\n",
    "result = []\n",
    "for x in x_discrete:\n",
    "    total = dct_coefficients[0] * (1/sqrt(2))\n",
    "    for u in range(1, N):\n",
    "        total += cosine_basis(x, u) * dct_coefficients[u]\n",
    "    result.append(total / 2)\n",
    "\n",
    "result_cont = []\n",
    "for x in x_continuous:\n",
    "    total = dct_coefficients[0] * (1/sqrt(2))\n",
    "    for u in range(1, N):\n",
    "        total += cosine_basis(x, u) * dct_coefficients[u]\n",
    "    result_cont.append(total / 2)\n",
    "\n",
    "#print(result)\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"1D Samples\")\n",
    "plt.plot(x_continuous, result_cont)\n",
    "_, _, baseline = plt.stem(x_discrete, result, basefmt=\"--\")\n",
    "baseline.set_xdata([-0.5, N-0.5])\n",
    "\n",
    "plt.plot(x_discrete, shifted)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c9a77e79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 64 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 672,
       "width": 644
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(N, N, sharex=True, figsize=(8, 8))\n",
    "fig.suptitle(\"2D cosine basis\", y=0.92)\n",
    "\n",
    "for i in range(N):\n",
    "    for j in range(N):\n",
    "        ax = axs[i][j]\n",
    "        ax.pcolormesh(range(N), range(N), [\n",
    "            [\n",
    "                cosine_basis(x, j) * cosine_basis(y, i)\n",
    "                for x in range(N)\n",
    "            ]\n",
    "            for y in range(N)\n",
    "        ], cmap=\"gray\", vmin=-1, vmax=1)\n",
    "        ax.invert_yaxis()\n",
    "        ax.set_xticks([])\n",
    "        ax.set_yticks([])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fb51967d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 197,
       "width": 193
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples_2d = [\n",
    "    [50,  55,  60,  65,  70,  75,  80,  85,  ],\n",
    "    [50,  55,  200, 200, 200, 200, 80,  85,  ],\n",
    "    [50,  200, 100, 100, 100, 100, 200, 85,  ],\n",
    "    [50,  200, 100, 210, 100, 210, 200, 85,  ],\n",
    "    [50,  200, 100, 100, 100, 100, 200, 85,  ],\n",
    "    [50,  200, 100, 150, 150, 150, 200, 85,  ],\n",
    "    [50,  55,  200, 200, 200, 200, 80,  85,  ],\n",
    "    [50,  55,  60,  65,  70,  75,  80,  85,  ],\n",
    "]\n",
    "\n",
    "plt.figure(figsize=(2, 2))\n",
    "plt.pcolormesh(range(N), range(N), samples_2d, cmap=\"gray\", vmin=0, vmax=255)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "36b0fe74",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 197,
       "width": 193
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shifted_2d = [[a-128 for a in row] for row in samples_2d]\n",
    "\n",
    "dct_coeffs_2d = []\n",
    "for i in range(N):\n",
    "    coef_row = []\n",
    "    for j in range(N):\n",
    "        total = 0.0\n",
    "        for y, row in zip(x_discrete, shifted_2d):\n",
    "            for x, s in zip(x_discrete, row):\n",
    "                total += cosine_basis(x, j) * cosine_basis(y, i) * s\n",
    "        coef_row.append(total * (1/sqrt(2) if i==0 else 1.0) * (1/sqrt(2) if j==0 else 1.0) / 4)\n",
    "    dct_coeffs_2d.append(coef_row)\n",
    "\n",
    "plt.figure(figsize=(2, 2))\n",
    "plt.pcolormesh(range(N), range(N), dct_coeffs_2d, cmap=\"gray\")\n",
    "plt.gca().invert_yaxis()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "1caacbe5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 197,
       "width": 193
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 197,
       "width": 193
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_2d = []\n",
    "for y in x_discrete:\n",
    "    result_row = []\n",
    "    for x in x_discrete:\n",
    "        total = 0.0\n",
    "        for i in range(N):\n",
    "            for j in range(N):\n",
    "                total += cosine_basis(x, j) * cosine_basis(y, i) * dct_coeffs_2d[i][j] * (1/sqrt(2) if i==0 else 1.0) * (1/sqrt(2) if j==0 else 1.0)\n",
    "        result_row.append(total / 4)\n",
    "    result_2d.append(result_row)\n",
    "\n",
    "plt.figure(figsize=(2, 2))\n",
    "plt.pcolormesh(x_discrete, x_discrete, result_2d, cmap=\"gray\", vmin=-128, vmax=127)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.show()\n",
    "\n",
    "if 0:\n",
    "\tresult_2d = []\n",
    "\tfor y in x_continuous:\n",
    "\t\tresult_row = []\n",
    "\t\tfor x in x_continuous:\n",
    "\t\t\ttotal = 0.0\n",
    "\t\t\tfor i in range(N):\n",
    "\t\t\t\tfor j in range(N):\n",
    "\t\t\t\t\ttotal += cosine_basis(x, j) * cosine_basis(y, i) * dct_coeffs_2d[i][j] * (1/sqrt(2) if i==0 else 1.0) * (1/sqrt(2) if j==0 else 1.0)\n",
    "\t\t\tresult_row.append(total / 4)\n",
    "\t\tresult_2d.append(result_row)\n",
    "\n",
    "\n",
    "\tplt.figure(figsize=(2, 2))\n",
    "\tplt.pcolormesh(x_continuous, x_continuous, result_2d, cmap=\"gray\", vmin=-128, vmax=127)\n",
    "\tplt.gca().invert_yaxis()\n",
    "\tplt.show()\n",
    "\n",
    "quantisation_table = [\n",
    "\t[16, 11, 10, 16, 24,  40,  51,  61 ],\n",
    "\t[12, 12, 14, 19, 26,  58,  60,  55 ],\n",
    "\t[14, 13, 16, 24, 40,  57,  69,  56 ],\n",
    "\t[14, 17, 22, 29, 51,  87,  80,  62 ],\n",
    "\t[18, 22, 37, 56, 68,  109, 103, 77 ],\n",
    "\t[24, 35, 55, 64, 81,  104, 113, 92 ],\n",
    "\t[49, 64, 78, 87, 103, 121, 120, 101],\n",
    "\t[72, 92, 95, 98, 112, 100, 103, 99 ]\n",
    "]\n",
    "\n",
    "quantised = [\n",
    "\t[\n",
    "\t\tround(a / b)\n",
    "\t\tfor a, b in zip(coef_row, qt_row)\n",
    "\t]\n",
    "\tfor coef_row, qt_row in zip(dct_coeffs_2d, quantisation_table)\n",
    "]\n",
    "\n",
    "#print(dct_coeffs_2d)\n",
    "#print(quantised)\n",
    "\n",
    "dequantised = [\n",
    "\t[\n",
    "\t\ta * b\n",
    "\t\tfor a, b in zip(quant_row, qt_row)\n",
    "\t]\n",
    "\tfor quant_row, qt_row in zip(quantised, quantisation_table)\n",
    "]\n",
    "\n",
    "result_2d = []\n",
    "for y in x_discrete:\n",
    "    result_row = []\n",
    "    for x in x_discrete:\n",
    "        total = 0.0\n",
    "        for i in range(N):\n",
    "            for j in range(N):\n",
    "                total += cosine_basis(x, j) * cosine_basis(y, i) * dequantised[i][j] * (1/sqrt(2) if i==0 else 1.0) * (1/sqrt(2) if j==0 else 1.0)\n",
    "        result_row.append(total / 4)\n",
    "    result_2d.append(result_row)\n",
    "\n",
    "plt.figure(figsize=(2, 2))\n",
    "plt.pcolormesh(x_discrete, x_discrete, result_2d, cmap=\"gray\", vmin=-128, vmax=127)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.10.10"
  },
  "vscode": {
   "interpreter": {
    "hash": "767d51c1340bd893661ea55ea3124f6de3c7a262a8b4abca0554b478b1e2ff90"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}