{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "DCT: Discrete Cosine Transform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "DCT is a linear map $A\\in \\mathbb{R}^{N\\times N}$ such that the $N$ real numbers $x_0, \\ldots, x_{N-1}$ are transformed into the $N$ real numbers $X_0, \\ldots, X_{N-1}$ according to the formula $$X_k=x_0+2\\sum_{i=1}^{N-1}x_i\\cos\\left(\\frac{\\pi}{N}(i+\\frac{1}{2})k\\right).\\tag{1}$$" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Question 1:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the case where $N=2$. \n", "Write Python function using (1) to compute $X_0, X_1$ given $x_0, x_1$. Specifically your function should take in $x_0, x_1$ as arguments and return $X_0, X_1$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\"\"\" Your code goes here \"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 87, "text": [ "' Your code goes here '" ] } ], "prompt_number": 87 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Verify that your function works by computing $X_0, X_1$ given $x_0=2, x_1=4$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.set_printoptions(precision=3)\n", "\"\"\" Check your function here \"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 88, "text": [ "' Check your function here '" ] } ], "prompt_number": 88 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Question 2:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "JPEG compression uses the DCT with $N=8$. Create a matrix called $D$ that is the matrix representation of the discrete cosine transform, i.e. when you multiply $D$ by the vector\n", "$$\\begin{bmatrix} x_0\\\\ \\vdots \\\\ x_{N-1}\\end{bmatrix}$$ you should get the vector\n", "$$\\begin{bmatrix} X_0\\\\ \\vdots \\\\ X_{N-1}\\end{bmatrix}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=8\n", "\"\"\" your code goes here\"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 89, "text": [ "' your code goes here'" ] } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is interesting to note that the rows of the matrix $D$ are basis vectors which oscillate with successively higher spatial frequencies. Below is code to plot them." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# Graphing helper function from our last assignment\n", "def setup_graph(title='', x_label='', y_label='', fig_size=None):\n", " fig = plt.figure()\n", " if fig_size != None:\n", " fig.set_size_inches(fig_size[0], fig_size[1])\n", " ax = fig.add_subplot(111)\n", " ax.set_title(title)\n", " ax.set_xlabel(x_label)\n", " ax.set_ylabel(y_label)\n", " \n", "fig=plt.figure(figsize=(9,12))\n", "for u in xrange(N):\n", " setup_graph(title='u='+str(u), x_label='', y_label='', fig_size=(6,3))\n", " _=plt.plot(D[u, :])\n", " _=plt.plot(D[u, :],'ro')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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LsGhzcIDdu3fTuXNnzpw5Q1hYGAEBAQwcOLDOY6U5uGO4/361EVp4uBqz9/fX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\nTccogAobAAAAAElFTkSuQmCC\n", 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jxo1x/fp1BAUFwcvLC506dar0WFMPB9dHy5a0kWHxYmDBArNdVpGiorhfiSEG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\nBAQEoEOHDqLD0Utubi4GDRo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HgG++oU1u1iAlhdo1qr14Vmvs7WmS7403LH/tF1+knboDB1r+2koVFh+PJd7e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\n", "text": [ "" ] } ], "prompt_number": 90 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Question 3:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the vector $$x=\\begin{bmatrix} 1\\\\2\\\\3\\\\4\\\\5\\\\6\\\\7\\\\8\\end{bmatrix}.$$\n", "Compute the DCT using the the map $D$ you defined above and compare it to the result you get when you use the function dct from scipy.fftpack. Use type=3 in the dct function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.fftpack import dct, idct\n", "x=np.array([[1.0, 2, 3, 4, 5, 6, 7, 8]])\n", "\"\"\" Your Code Goes Here\"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 91, "text": [ "' Your Code Goes Here'" ] } ], "prompt_number": 91 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Question 4:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will take the image we have provided you with and apply the 2D DCT to it." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.image as mpimg\n", "img = mpimg.imread('montyPython.png')\n", "p=plt.imshow(img, origin='upper')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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491zXxpXkHI/Yiyk71DnfdgCCdl4tZj2vcQU5DoQJGStclNJqQbBWDF+ksl1f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EZcdCQXKTtDlwLomOH6Pt8UH0EliUiCmLJPO2taeUBDArgcbXXr5k3u3rvH+VPHwQKIPnU+\nIJUmpkSSGpsSsqjZuvg4mydPs3/3NrODfWScocmTqT5FYoKlk8gu4XRFOdngm2/f4Z/91p9xa3uH\nZRC4JLG+ycn25GOZMZKYEidPnkSbgrKuGY0nKK2p6wF1UdEqh3ehz3jNQyJFoYnR0Ln8M+sSGolz\nSw4PF+zufYEXv/Edjh8/xvHjWzz91JN88Eee5cKFM4TYgHQ0XUehCgIRmbLc4WN+yV2wSCVzWo2q\nCcmhhOTq1av4YPEx8v7nnuPlV16mC56yKkAk2rbDh4SPK2thwpAxBkQBQWFdyBgEI/L0p5QsXKBr\nG0bjEdInoosIneGLKfgcbC5y5q33FpUAIYmtJamip+xluFoINgeKuw4t80ZqY8R1jrvb2whk1mNF\noioMIljKqubO3dtcOPcMJIEgN9WrjWMIoVBaINE9UlX3eik41yGEOdJOJRC9x8aA6ZutMQZE9MQk\nMVLgoufk8XWukTe2GPKsRCDhk8AuLSUDpBGEtqGsSrAeU5V4Ab5PdCIlVJEtiqkH5enCIPpnRMjc\nX3G+o6pKQuhplqRevwUjexud86QQcQQKbUhR5DAUC6KseOf2NleuXaOoKmQJw3LM+WPH+OAzz2FY\ncG6t5szf/iRya5Nf/5MvZGJkzHmqx49t8p/83Z/i/Jl1gm0QEVRSaJUoqwEOx40Dx92DRS8Z3qWQ\ncPHEGs9dOsWFEyNG45oQPNJotC7wAdq2PZpCX93/7ERRlD1BtLGBu/t7xBA4OVnnxJPnePeddzi3\nfpK2OWAwUHS+pTEb3F9GmiBIRvUmCJ+dQfL76bKkhO/JjasG6MMDSytk78MM9tUE6cN6/GqBzwHZ\nefgQVlOpmfHtnKeqs8vG9wH13nskqwa+PErF+qteP7SFvdi7zvVXv8L0nW+S9q/TohFtiyBgJTQy\noRLYpqNMBoJH4ihF6BPYMzpXqaznFmVJ8B6pdA6miInp4SG379zizKljfVc9onukrl/xkZWmKAva\n6PGhoyxHbF24zIlzienuNZrpnHaxwFrbf1EwUDWpHPP119/lN37ns9zbdUyXgTYkVAEieZRQpKjx\nPiJl3pTWJhOkgBQio8kYU5YUZcXG+jFm0w6tHcIIvLc4KxGFxhQTfGyJPlctkUS0Afo8Rusch7OG\nm7d3ePvKe/zpn32OreNrXHz8PB96/7M8ev48USpiFATfImQmSPrgjnCk2ducU5G897z87W+ztjFm\nvRzQdC3LrkVYwXhUHlUhZVnlSDkcLoIgYpTBdh4VZCZXdpm3nwhMD6dcefcOzzzxOPVgmDHNkdyk\niwnZvzSykOAjUgim+weMTYVM4KPFW09Som8ES1IIR6cPJBRFxdwGus5iihIZPYXUDAY168M1/rNf\n+DTfffVrfPT5p3Bdhykke/u7nDh1Gqlyn4QYqYoBwQekkLjwQOZLKbObY0yUpsizAn1egJT9y2wT\nRkFdFgTviIk8cek6huWIRGYLuZSdEaHrUAam04PcJAsDjM4AqJASUkCwDqNUBlUpRfC+D9HI9lwf\nPXWf+iWSAJGxBoLc1A+dQxvTh9nIfM9DyqykkEhacjhfsj09oAueIiW62SFPnj/H2fGYE6NDTmyM\neO7cYzg95N39OYd7++ADSmiSDxzs7vLy669wunqGiZGkmEFkyh1QBMPlYzXimXPc3tlBmwIw+RS3\nOOT8cIMTeoAPLYgsBdkuok2FLuJRhbySMEQfzNM1LU2w2GhAZwXg4x/5CFf2b6GlolKGne1dnn76\nEtYHDudwsDA4JD4lErn/4+PDDPZ+cReZyfSwpLJqnMIDnouUkuVymd1mDzGtVr/nARalZ7JLwypf\nQvZ8fGNWZMpeKZAryTQrC957kvwB0B1/ENerv/O/EBb38fNDjFAIl/3yIiYKpQguQErUQuOiIxKR\nSaLRJO0JImUYVpAoqYghYkNAKUEx0Fjnia3lzs272GefRfpA3TcqhqMBt7czrvXm9ZtE7xhMxpw/\nf4719Q0Gg2HW07RkeALmswW7+3vs7e5x/uwxzGjCr/9fv8dXX3yFvd0lc6/J+OEIPtsuHR4hIiYZ\noo0IaRhtbBAtJF1gYmBrchyX8olAGYOwIduohCSmFucCw+EQkQztQwMRUWTJJiaBdTLLNTbQdQ0x\nTOgay/37u3zzK99m69gmH/nw8zz//PNsbkyQQuCcRemCebNkUNRYG/oMV/jelTfYPrjNBz78IU6c\nOcM3vvEKwZJT4mPHYDCgmTZMyhpMfthCDESZYw4VEicEyXUMlKLznltTz4uvXuUDT19gY2uAEprD\nNmKFpY4iY0wFaKGJQaGlJIaEmpzg66+/ynNnzzP0nuBBFkVG8IbsOoh4ktLE0CK9xkZD14g+YjAw\nrisG0vBf/sJ/yPq6Qj55mRQkZaHomsDG+iZaCoJt84umBW1YQBJUZYV2Q0AQg81uCQmQ8MGjlUKK\nAu9d33j1SBGwKWApiNWA2XJOc3DAQMMs7jMYDjLoLQmsgcInug5mM0eztFze3CJam6eEhQIvKMSY\nkPaRxuOCplkuiT4wVAUiJUKp0UUOh4kpn/qM0rg284uIAmc7lNGkkBO5kogkJ9EiAR2D2uTsVaXx\nwaCqIacnQx4/vUmsFBhoUkMqB1zbWWKbQNIKh0eRkFGAhdAGXGvxyaOGEiuHqNTRzbY5vj5kfXQG\nkSzGaKpC42zF+kQhS0FRqExcDB2mqghYgo847wkxYJRGC5GLAFpMIVnTQ4oguDAZoy5KxFAyf3fJ\nwNTU6xUnzlY4m9ibR17cvsqN4TlCdS6zpehQvc01JYULDkUOFI+BHAKCAh5MlGbk7vdr52VZAhyx\n2VfW7YfzUYG+H+gJUSDIeGAIWUXoIxpDBBlygtasmaNUtlT/NZWYHyKPffc9pFtSupAnx1J2MpAS\nrrOkGPNQQ7+z5mGc7DPPDQpJij77jnv7XlVVqP5oXOiSxnZcu/ouhDx5VhjDzs42f/Jbv8lL33mF\ng8MZ3gZiSAidGA5qzp0/z0c/9mE+/rGPUdWb2M4yOnGcWweOz3398/yNj36Ut95+mc994RWm0xbr\nTQ5ISP1sOStoFv3L7ijqisIUuepK2bdfasXG5ho7e1PKsmQ8HjGdLXuCpUTJB1ar0WiE9wdYG474\nzasGz8qa1XWRzubm4Wg0YK0cgoBrt+5w8/Yf8Nk/+xxPPXWZj3/8o1x+9DGkUlTDSZ60KxRCKqqi\nYPvObX7qhRf4Wz/78/y3/93/wGuvv5X9/UkQ+rBv2zZ42xGiYLHowHeIqkBqBVqgoyfExL617LQt\nL37vGvcWltFkCxcN1gVMEmA7FkEwqkus92hd5LxKGqTQ6Ki4uzdj9/7b/MQTp6iritRakBndDP0m\nVwDJY4Vj0eR0IIlmVFY8++RFXGq4f2uHi2cvUpwuSCis95ii5vSZ83mS2DUkEiE9CCAO3mU0bAK1\n4oUQjhJuBKBVhjcJlfs1KiVan3A28PJ3Xqe1ntJo2sUBRgl801LqEhKYIrFIJduHM27dusoH3v8E\nQRQIVSFTyJPM0iCTP4qlSy6hRHaK3Lp5l+MbmxRCIL3NLcDe8mutyzjplC25K79dCIHUa8joHNAu\nlMQ2EaM0wjvWx4onLp0luZZTJ7fYnR8itEIZgzeGa+/dwPssP2klKWSk1HB+cy2nGtmOpQ3MG4mo\nIptDTSmhsw2FlEyGPUu+VFTrmyjT9xFiR/SesjKE5IkBpMgVh1Z9apXUSBSFynhsGx21Npw+c5zb\n+1Pu3brGqNagB5Q6Md/eJ9RL5Gid4FqiA2lctjwqkwcTRSCijuyKWhffp58jHtAZ/yLRcXX9Rczv\nUUDNQ7iV1WJvTIl3oW+M9haHzDHI4SohT+Ss8k//MmTLv+364SUo2SX4QAwyp8CIB93nHPCZiCmP\n/GYqqkSGhBR5qrMwGmUMSiSkBKMkpck7qVb55kph2d8/wFrHeG2Nr33xy/zBH/4+12/fYdE5nEsQ\nMl0xycBsbtk/bLl5e5u33nqPX/zFX2B2OOXN777J5z//Be7v7/Hay99l2bZ01hGSpPMxZ3aseCqy\ndx307gNkbiI5b5lPpySRHSk6+VxVdR2bm5vc3d47Ou63zRJtCozWOGsZDgacOH6M3d29rIeKBxjR\nGGNf4We5YNF0WB+Zu4bRaEihNUIKdvdnfOVrL/GdV9/g7OnTfOpTL/CBZ59DmwqhBJ6I6yx1PeCZ\nJ5/iO9/4Bp/80R/l2rU77G9P80MfoFm2xKqkcS07U0fRBJR3CJ+IlUGZhBIRG2HPwjffucHtqcWL\nkuuHMw6CZVgOCM5ijGezmuCUJ/lA8BalBbZQmM6ilcYMJ3zla29yYWS4cPokNaBEQhfZtRJjIMfY\nRryMTGeWadcgEayXBS98/Ecww8Rzj34IU5Vsbm7igkWZCt9FtJE5Y1PLzOkvVX8EhrZd9g6jhDZl\nH4cnH3JnJALhiEcTfELGRBKaspiwWHqms5btvX2KaLPsIgTjusYUBb6LXJ1PeffaTd53+SzrmyO6\n5RIVHLpQyBT74qWvEpNECYPQOUZRq5KXvv1dTp49wcUTE0oiscwRcUbIvICnhDB9djArNHQieEvC\nECV0LtEFyWS8xhOPXiIsG/x8HzlaJyXP+toYqRVRglUlN2/v4PxKbnD5tOc9vpnhwzpN9Nw5XNJM\nO9bWNfrYkGPDKme9pkSp+rjJQpKwaFPhfEuwjrI02SihBM5FpBaZ0RQChVREm09HUii8jehCInWi\n8QmNoD08ZFQO2TvYYa/Z5+zjG5w8M2EpW87OPfvzbRbdBFdqojB9ryVnFcRIBnI5RzarpCON/GHb\no1J52VxZIB/W1Z1z1HV9lNu82hBWi70x+d8sihUB0uJTxHuLrqq8yIuEDf5Iu1/JP3+d64e2sPug\nwedjjydQpHQU6kxv6BciV2W5WxZZGUEF+SYblUgpR4IVZY6nGw4GuSruLIPhkIPpjP3pDCUVv/dH\nf8zNW/dYdB7rIyFkvTuG1UMKMXX4+/u8+I1vMT3Y52B3n1s3bhKToLEdrXfZKZPyZGf+IgpizC8P\nMSGVyEenlAgy4KPH2o7729sZ/es8psopOc52lOUaVV0dVQOryTfZN2esbdnc3GRtbUzTdjRNQ4yC\nqqr7QBKPDxHrHUoX2NbRhY7lvGE0HGX2jMwa7Wza8t39K1y9co2NzQ1+/Mc+wU/+1E8ymAxQOvLI\n5Se4eesu9bDm+Q99kH/6f/xa1vZjJFhYBMuyE8xc4vasZX7vgOPDipAEXYhUQ0Aq9hrHO/cOuTf3\nSFWwOap58Y03uXn3LtaXlEpx8viIZ8+e5dL5sxglsJ0nJMmUyLidc2JUMRlNSIXhc29e44XBOo9O\nBtTR45oOoQTR5QVWVorZrGH3wLI3W7C2VvLI6XXWKsnasU1UYSiKPBQDudIMZaTrml4bTRiTWdkZ\nsSrxIhD66czV8FwOtegrsxjIhbQAmT3MnagRSvGlF1/l6994lXURuLtzQCkTy9mCuqyYdpHBIGBj\n4utXr2L35/z03/hx2hhJLqBlhmIpnQO/uwhCZV1aJIU0EUnDeGPE2ulzfPnV16g++iMcrzWlyP2X\njFPITcCosrtrpRE37RJjFMnkKcyldezMWu7cvc+kqjh36gRPXzzN8bUaXVU9MlayUIKdNvDOe/cI\nLv9dTgi8gFQM2LWe3cMZdV2xO11w93DBaSo2Ks3xumR9XGMlkCxCBJB51sBbi9IKnzI91EVHs2ip\nBuMjOcNbh7WeQVGSaElOoaqSJGVm4CTJhc0JYTZnfaNiXgw4tjnisctrVEMDRlMdO8aJ7cQXr91A\niBqrR6RksDGSpDqyVcaY0OpBgAassOUP8NorZ0sI4QgxsAq2fhg/AHz/Ap1yMPxqylRpQSkMLqfV\nI6Ts68GU5dl+s/iLeRZ/2fVDW9iFS0TrECKhkiWKrBcCrFrHuaufaYaS7HzJ634iOE+hJUpJtJKY\nQjEaDDOjwWermzCJg+WcG3fuEBHMW0vTBYqixsaGzGHOjAhSgfUeFyIueFywfPOVN+kWLVVR0jqH\ndSApMhkuZR+qkg/fwp6FkfppM9n/f2T+ct67+g5SCKSWtF3HT//0T/Orv/braK0py4qqqpjP5zn2\nK4rsEJArv6xiMKyRWmbLX4xYa/PhJqRe11M5VCEmXNsRpWQe5thli9E6L26913+5sHi7x2//xu/y\nlS+/yH/6n/8D3v/+Z5gcO8nB7oyqKvnyV7/CvFkQyacknxKkQOcj92cNh9KxWHTM2hbCmLYQ1C5w\nmATb85Z3tg9oWsvWYMBmYSjLDb7XbHN7pyFEwVs3dnn3VsPw1esEa1ksGzobQAo+cW6Tv/8TH2VS\naZ54/BG+8q1XGL93h/LiKS5NSkTyxDYSXUQScT6y71ru7bV4oVifKP6LX/qP2BoNWTtxEVkNaZez\nLKuQEN6TZKCodH4GUpZvfLAolYuMFKEwFUFGBP0EsnrgVCAICl3ivEf06IFOjnnx6y/yy7/22+wd\nLBhPSibrx3OR0EnuL+YkEdg8NmavkdzYP+S8rvjON1+jPLlOXeUFSYkMlJtMJkSfTyVaFaQQUcIj\n/YxyOOHY+YuEa3f47Euv88KzT3O+ikitSSL7s4uqyrZRKY4aeVVVIVTCKUX0sDPd47tX7rDsAqX0\nVEZz6fw5Sg1JSVzIEl9YG/O5L32Tu7uLLJPGyPqJ4yilWM4a3ry3w6MnNxF2TtMuudcdYmaJ7tgY\nksRZB6UmpEQIjqqu88aToF22RBsJKi+qWiicDRRSYr3DtR24gHSBauAxxQhrO4QsSSqBP+SR0zWn\n1s8hpUPKTYz2iFKgooDGcUI0fOLcMQ4JfPXGPazaxIYKaUps8L3/X+J9zC6UvqAxxQr6tQqzlkcn\n5qMs0xCOFvSHsb4PB1kD/eKfN4+HZVstsqEshkDyuTnv0oM/+xfzMP6y64dYsTsiWTsLXcwThFIe\nacYx5GELKQQykuFaMVJUNYRFD+vKxDZlCpQ0xCQpixJR5Bs68BHXKX7rt3+D5Dy7t25jg6QajDm5\ntc5sNqOZLVjOF1HzJn0AACAASURBVAg8JE304ELX43ctpKztaZXH5RP5M4kkiEIQyHzrJGI/DkTf\n1Mu7ukwCESUpCmbLNocwS4MLifHmcYQWTGdN1m0VmFITfcLHjPCUZBdEM18yGo0RQZBkzGPoIqGU\nxA90T7XMCVCFFjiXP3dMic66o2rEFJqyLIBEkAnvAm+98y7/+H/6x3zk+ef5+5/+eZ5+7nlu3r/P\nn/z512lal9k3CHTKXI2u9ezs7XH2xACXLLuLRLA7HJuUmOUQKxS351PuLA44bTQXqpJzg8j2vOX8\n5hrX924xX3pKaXhv5wAZEyqmLDsowSPrm3z0w89R6Jaz6xXXqgIn13jl3n22Tg4YDdZYF7m67uKC\n5LP80yXFtf0uOw5iZH/WcPbCo1iZCZe+bemCRWuJGdZINUBKSbts0FJitELF8khqUauGsFK4MM0N\nPZ8wRU3XWgiGIiREmwi1IgzH/JvPfoV//i//BXu7C7CRadFx0C1Zti2NneOFJ8kx1+8X3Jvdw3YL\n3vfkozx14SKfffVVXnrnHoPxCO87hpXm/NnjbG5ucu/uHnv3dxjR8fFnLvHYMxeYDMZsicTHHn+U\n3/2zL/HHr17jbz51nsfqRI0lVSVzaylTQlclpHw6TTFioyFxSOfAi5r94HF+ybxJFNWIymh0aaAo\n6bo5i0rwnbfe5U//zZdpdmZ4H7DWow6XnDl3ij235M07u1zc3OaDp48zKkpINdspcme+5EIzYSAD\nGIEVLrckG4dSBTZFZtaTfMIYT3A2+/W9z++C89kSqDUitoRQEDuHUCUm5YW4FgK/OKDUHlMqpK4y\nZz2A8x1JKrRybIY9Pn7qBFf3F7zbHWLkEK8yOjj3v3J0ICIik8gnuxBIUaB1QQg9SldoEgEl9VER\nt5JqoK/wU34nh4NB71nPcL58Ml+xZgLexzxY2XVIpUgkOtfiXUdRFChRINUPIGjjB3HFXseMwaFW\n0sXqZ/2RRMRep15NbvWacmY1qKNBgDxKXaG1Ppq6zA2wmBuXVcUv/IOf51f/93/C7Xv3Cd5SFWMY\nD/MYfPK0i44UxdEXQsqY2iz9BKJIvdaZj95JZFkoiYBIOn+Jgn5xl2QIkEBJla1pskApmTnnTYMU\neSFJSdB27QMehZSUpUa6fPQa1DW265hO59T1kNFodAQh8t4znU4pCpMDLXxCKUPXOULQKPUgWEMI\nenZKJAZLVRd0bYB+cz2YzvnTz32OV19/nb/7cz/HcOMYt27dZbmwgCL4iMxR97TWsX1/l9p4Cl0i\nQ6JpZuyHltEQkqpZzBucDZjxGuOt48RKEqKkY4YQuUp2ncOi0IBMWd6qhhXNSPD6zg7V2ul8309O\nqIeGO/vbvH6zZkuXUAYqKehiQnloQ+LABxoFSgTqcsDJEyeo6hrrI8PBiMY2DHRBkgKhFZ3L8l7Z\na6R5CCgehS0IIfL0IwEpClLMDog8Hh5Be+YI4qSCcsBv/8Ef85v/6vfZOzggOIkMuYn5+vfe4PLp\ns5zf2sKFJYdesTNdsn+wyyOnNnjk5EmUiDzy2Dm+9MZ13nvzFro0SAFvX7+JFIGNuuKxk8d45tJF\nnnn/ByhqgSCB8Fy8dI6nn3iEb7/6Bl+yC4qnL3N+rUL6QGUMIQp8SAgXjoqFUilcFIDh+u27vP3O\nLULb4oRnd38/e6lD7kOlwnDr3pR//i//kFt39mhtlrCEVExnc5ZXrvDY5UdI3QHv3Nrm0RMnWSaJ\nS7C/2/DKcsmg0BwPG9ROMagVw1qTZMSmlsMWbu/MoW3h5AYDrYipw5iSOSLLRU1HMVCUdU3qNfYY\nA81yiqk0Pi5AR4RamRhyBA9k7hNS5lwH7zgx7Hj8uGTn5oxGhL4S75kvPb5gBQeDVXrbqmmazRyQ\nMIXOk7tSENODEI5VIzWG7w/FXtlTH/a3i/4kJYXGaAlSZRnQe8qSHqugcP4HkHn6g7hCyPalB4Cc\n1coeHzQeRerDAB50pGWP9C2MpiyKrJuqjOyV2R2d3QMpkZTAdwHRdjx66RI///f+Hv/sV36V/YND\nhsMabQzj8bAnsgWauSVGgUIBvcUoibx7y0RZGUxhWF8bE5xlOl+ybB3eih41nHXsvMDHvBGojEKV\nMh8/k8/BAJKsx1emIPQPTVVVkBLNomUFoLKdz1WNdeRsRM1yuVp8yGgA8nCEd7HPkn3ghxUibwLZ\nqpWzZrNulzdIowXOOrRWxATXbtzif/5f/zeSLNjfOwChCSGidIELLSIlrAvM5h2NTZS1ZrmYsVEU\nyLRkUGXLYXAxV0265vaio92dMo0l13cOsT6z5QWB5FJ+uJVEaIOIiYP5gi995wrfe+ce9agi6Mh4\noyYNT3Nj2nJ1d8ba1pCgIzFpighptMnbV66zu2xZGxQ8+dRltre3uXDhAlJAOz2EGGhsP7+QQAlF\n7Pn/D4h9IEQ6WtyP/OsqN8Skyj+TfQPTlhWHVvB//pNf5itfeImD/Vl/QirRfZ9ksD6hMJqBczmL\n1Qa27S7rA8mTp05RCYEyESkcZ05v0TnL0kcC4JVmOFC874lL/Acffh8n19dxMWvenW1BZc78E5fO\nsJgd8t1rO3z13Vukyxc5u15RWU8qdXY19VTBmBKxl/emc8etvTntMrG7vcNkPOHK9ZssVgwUKUlV\nzee//jWuXpsym3ucs6SYp2S1VgiZm+qPPPo4t956nVfv3KcYDtidzmhCzaDSfOnabU4vGs6vj3j8\n1Amid1B5tClRMoP69mZTGrfH1toI4VvWRiMOlGFxsM9QChjUIGV+5oNHaQk4vF8SVEdZGJbtAlNN\nMiHR5YJMivwZZcr4kTpOeWQy4GXmHHoH5TgntYVAOlpz6K2NGfInhezfrZx8FFNACYl7aDGHBw3X\n1Xplre3BYuGoeFst6nnwyPcON0EI2X0VQj4R5IK2p1H++6KxS5kXTOg79SE3SleVUmY2iNV0OVI8\nsP8ksRoaSEfV+qpz/PBOGWMkOs/SW65fv86PvfA3+NY3X+LbL7/M4vCAE2fPYLPLKGeKipZ26Qgu\nj0qvGqKlUQzHBU89/Sjve+p9XH7sEW5dv84Xv/xVrrx7DaFVjvmTIkdZSUkOg887tFRQDyqeevqJ\nPKxEbpBGF/LCbR5MscWU+mZetj6WVYWSiqXraJoFVWUYj0dorWjbNodoh9wnkCKhC43RJV1haZqG\nlCTOZckmpRWbJ+vyUihCSGgtkSlXC+g8YTubzQgxgciM95jy/wXy0E7TBZZtoC48xpSUKnFqfZ2t\nYcmdmUXLvM3e2ptzd2efO9s36VLJwWJBRGX2t1HUKlFJwbguWBsPUFoyX1j2782Y7jqEUUiV8HGO\nGQ45Ph7QtRYbB1RCZT/yqOa9eceb790mVCU//vEf4e/89N9mfTzJJxaVIxZRgqoasGxbZMz9m1VY\n8MH0kLqus+NC5ZF77wOdz/m1WmYgVQ7uyN+XomY+c/zTX/51Pv/Fl1gcNtjgiPQuDlOCSFRlDmGu\nq5KBCZzUmjvJc/7CWS5tbGCdZXdnTts0nNkYsjl5gmnTsb2zz8bmJsvlAQOjIEaa5RI5GONaiy4M\nQQRMipzemMBTl5laePvmXYxUrH3gCWqdwylUkaUYpbJfXWhJcI6727vcXyxpZg1FUdN0gTt7h3zz\njSt87KMfg8Lw5Ze+xee+8i2mS5cNBxGSzMHrMYJ3ibt3t5msr1MfP8Mb9/Y4f64kCVg6z7V7B0xG\nmsNOslh69neXPHbmJCc3iwzvE5G2iexYaITkcHfJemVwKtEah7OOi6dPsDYZoI0Ck/BNR6lLtABV\nGjygtGSytpYtpioPH2Xeis+LO4CQhLbheFUyLh33ksFL2Yfo5Hck21slAR5YF3PPM7ve0qpxmour\nVWzlChJ2lBEsH3JQQT/N/GBS9ahoIBeDMUbon0lBbn77lNEK9t81tvcHdWnd3+i+KaEkeJdvQOqb\njzkTUIIQR06TVWajSNnbnt/BvAGsbEcp9gjNpoMQCdHx2uuv86Hnn+cXP/1pdrbv8c6tG3Rdw2Ay\nZrlMjCZjpNTAnHbREYNHyAFSJKSBp973BJ/+hf+YR06cY208wr3vaUaDmt/9/T/izt0DWhHypCBA\nfubR+sFmo5XiscceIUXff8ZEsI6u6ZCyyFpav8j44KgHBd7lMAOpEkJGrOuO/r7VBpibePTVZs8T\nF5GqNiTyNC0rp0RSPSteEKPk8PCQwWAAaHKybDyaxC2cy/TEHOKaf943tSOCw9kSnxRFZUitRRPZ\nKCvGyXFYGXzoODi0VMNNdnZnzDuN1oqiHFAWmvFwxImtLZ46XvDEhQusFYattTGjuuRgKXhn5z4v\nvfMe793ZRlMwXRZokyh9yyMnLlH1k5jeLonVBleu3eNwtuRjly/zd/7WpxjVJRCzs4SYm1Mp0dru\nyJ3gvSOTuDNHSCmFDzk3VqkCpfs0nJRIyfe5sgKt89TtoRrzK7/+q3z5i6+wu7vIDUtPXyXmpp/W\nNaNyROosy+DZWCuJjePy1hbHtiYMlGLatuw3HWvDdR49WYAsaF3EnjuBloq7u5JSShZdoKolYyPR\nEYQWNF2GpNVFwaWt46gPV7z45rtcee8GF46vM7l0mqIoSRFMWfUiQiJqCV3IC++dW0Tb5jCSwZC9\nxZw//POvchhL3rp2iy99/evc2t7H+oh3EREiTgkKXfTutewM2dvb5xOf+Ajfff1btCSOH9/g4PYu\nqe2Y7TS4pWJ52HJvUrKfNFt7JaUEU7VsH+yz4xJ+3lEYjXaOgRGMTMfFjQnjQYnRgo6O6B3FsCCK\nQGE0yIASFVIqrGtRqiC/iRnNS3pQMHrvqaRknRmnhjXv7O2jZSSKCZ5siBBS9C4offRefb+H/cHA\n0erXpFR0Xff9jJheNl5tDnntir2EDCv2TIwZrpdzA1T/M49PJheMShw1X//K6+v/r1X538ElJMge\nURTJlrWHP3zoSwPRH0eyXzuiTaJS2QesjUah0FIjyZmWzllSSDjbIWTCCMli0fK9N99id77gwhOX\n+Ymf+Jvs/uZv4A9n6PU1dD3AtXNG4xFaS+ZywWK2wB+NbWvKcsBjjz7JAIFQgkFR8sILP87s8JB/\n/dnPwYGjc7kxahOonrAnUJS6YjyZcPbc2az7a0VKns5b0JLC5JOIQlFUBVE6hEzMZlNkL1MYk9Gg\nbdfkcX6RN8f5okOgMCY/tCv7ldElZV3jvUPLXJ0tu0hKZFupzBVC13XZJ9w/jKrIcK0YM4jMuSw7\nhDx3DSRS0CwXkenhIXatBOUJSlDqkkktORYSFYHpwZzrN+d0Xcuxkxsk5TGDCqUFVIJFbNi+M2dY\njNkRitv3ZlTGcJPIuzfucOPODtP5HIFnOJmwNSxYCzM212uGUhCtQw1H7FnJtXu7fOADz/AP/6tf\nQg8NbWPpmo4QIoUxFKqHYXmPLiWhbY+q85h6NoxzSJOHlwozJDrXQ7/6YRKZ8uKtKyjG/O7v/BF/\n8H//ObNpk3kwyRMCIHxuvCaYtZK9xZTTgxLfNVRqjZgCa+OCsqhpQ6L1fb8mLKlloJ7U6HpEWWiG\npSL4szjn2dzYABJdcKiioCMi6zFpaWlDixWOU5OSn/nos3y5HnFle5dHLpzgmIaiKlhaR1Xk3kuw\nObP3/PomL1w4w/6WY2d2i7YY8t0bS7751jW+9ea/oLWJZWtxLuZNrx+g00LgelCXAmRSTBdz7t7f\n49TpS9y/f5tJIbl0dsj+bsfh3pxpu8fcamax5jDC5mRMbQQx7LK+PqZtO+4dTHHWcbwqWBOCH3nm\nJE88dgltEl1Y4GKLWa8o6jx/0KUOkSRKaZx3kBJGFvgUepaUwXmP7TrGk3G2DjJhXUYurQVen3fc\nDwmpW0wsyeMJCaNGOLdEqYy4W/VgVjKL6mdl8gnugZ3xYXa7KhRt2/S+90RMEh+WYD1F0S/a5Hcq\nu2VKEoKus0ihCXQZ5Zsiqk9s+qteP0QpRmZbYz9QFWP6Pq3q6PeQK3Ip8tQfZNiUd46iLPKxpgfT\nLxZLRK+R5Y1AI2Vmfmxvb7Ozs83JRx/lR1/4JC9/51u8+NK3WMTAyQsXMWVB9B3D8YjgE51zxC7L\nJlordnfuM51OqSdjtKmIwbK2tsbP/uzPEIXm85//AvfubmNFotSGkCKml4WSSBw7dozJeILwIo+g\np4QxmWtDX18URYHtOuqqwnvL2mSdelD1bOdE07R9JFfWSoWAwWCA9YHlcklVVaTU5ykGAyHr9l3K\n97BIORHdBkv0vdYXAovFgmqQB1v0qokkFUJkzk0+OUh86CcuhaBrHNPD+f9D3ZvGWHae952/dzvn\n3KX2ql7Y3WSTFCWRlESJErV4UbRbVhzHiW0FSWaSScYBMoMBnAmCGBAw38awjPHYHttJvkQxFCSD\nxFEy3iIvoRUrtiWFpCiRYnNp7t1d3V3VXfu99yzvNh+ec6tblie2ZhwYcwmiG11V996655z3PO/z\n/P+/P21YYTQoIXmM05RVyTAqlhYWaJsbTCeBLkTYO2Q4Knj32x/m4Xc9TNfMOHXiBIddx/7uHm95\n+zvYvHyZO87fzXky6g8e5+vP/ipbW9sMB5lRZTl7z2lWc8XCeEiZAllDsIIqThlOnjyNVYrZbIYz\nBZiIK4peKqtpm0ZkaS3M0+EB2q7F2RJbOCkyVMSHrr8gA5Cw/U7KFhWHTeaxxx/n3/3bX2YyrWla\nL8O1mKUIQTALVhnqpmHv4JDT41PM6gYSjMYDDmb7dMEyCZmrewcsr6+RFhaJdUdHxd5+zXBQghoy\nGC5hXGS3DozHCxhraOoaPSghCftlOFiErmayd4P1Bc0733iOZ5+bErsZxq2Scu55MSLVtVoTc+D8\nuZPcefc9zDIcdfvcTBX/+z/9JfZu7uOblpgllzTE3M+bZFBojSYr3UfByTjRJU/wM8ZLy0w2a4a5\nxLpFlscL6Dhlf38f3yWm0ZP9Lgc7NxlWFdrA5vUtrBszbRoKFVladLznzfdw352L5DQjYXGFYmm4\nTHJJqI5KSJtKKXzwxBAwxpKSR1nZIWotBifbf2bWGDQTisZw5ziyWmxz0G2QbJadlpHErZgELjdv\nlcxFG3M6Zu5bJErx/yhJnLNi5v/ug6copJ0nMDHdf03d0r+bgsFgSAwZa2QnXjhHV7ff1vr6Z9iK\nsYTOH+s9bw+QnQPu5wlLKmtyn0Y+1xBbaykKWdirqjoGBYmpSXqJvu9XDQcDjiZTnvr6U5w7c5qF\n5SU+8X1/nkuXN7m8tUWzeMRwdYl6JkqW0fKYJkZs39+LydN1DUeHB5xeXqTrWsrCUjdTFhcX+aHv\n/35GzvI7j36RvdmUOokc0WgjMqlCsbC4gDIaGyGSCN73+nONRVNYh0I0xgIxC/17H5EHiaZpyLml\n6zymR/KKLDSjM5TWEXwANIOixPtAWRSAhjJTp0RKErptrSWGePy5hxCOTRBZy/GoqoqUhCNez1qp\nXLIkvkhsV2T75j7Xbg544313s3tzn2k7wJgKnRRrS8ucWBmxt7dLQnNjb4rdPeTXbjzKiy9eZnVx\nkXc+/HZO3fUGqsJy9coRTzxxkUcffYz9nS1ee/UKu7sHVFZRasNbz53g/NqIcwurLI4czhtmMdDm\nxKTt2Dk44tEv/Ce+8x1v4877zxH6rXTbNCKF9b3W3yB9c2NwhaP1HYPBoGfvZFIWEp/4AHrVkJXB\nYzYlplzkpVde4zP/4pe4cfOQrsn9HCMcZ6zSS2BTVlLlBlgcr7C/fYNAwlnF8uoSh7OaKzuHdNUS\nrxx6Xn/uAs3RlNonZt5L0MjKImvraxwdHVLPZoxGI8qiYGM4RA8qzp07z7mVVYaF4aDOXNs6ZDQY\ncGJk0HffIVrv3q6eg0j5og/9YDBhU0PdNCyMxlhjGI03GLsClUR2VzcdMUmLdO7ABMQRzlyBotAa\nBlqjncUtLpCqijZCOz2QNKARoCvqusa30LQib/axQ2koqxLnAwul486VIQ+cGXF6oaVtb7K2scFg\nXJKNoulaTKSfqckNxfsGaySIPHQejCEFL+83R4zV+MYLc19pjKmJszFnlo64bz2yfTNwkB0+iMu9\n62YU1oEe0sOBUFqOZVkNIIY+O7YvKrUTyF4UXbvRBmstTTvrFTW30AJKJWJMfY9eriVrDbl3jqfc\nM2e0I/ZtG6c0Tdt9e+vr//cl+v/dQ/VV1Fzkr/Mt3sIxl8H0KfNZzEnzE2zeYxZJkAB4BL1pZNti\nLK7S2LIge1E9HNYTnv76k7zznW9Hr6/x1re9jQ/+uQ/wG7/zO+zeuMlwZYGFBZESTiZTxosjUuVp\n6obYdrLQqvkNKBGjWIeNMoxHJd/357+XM3ec4t987t+xc3TEtJXtuy0d1aDk5Il1qQCQHqJREFvZ\nsuMDlbEUSnIQvUoUxe1OVHccnjudTI+rgPnC3LYtIQQGgwHei/st973XrHXfR4emjccn0mzWSKxf\nzMc305QSmF6WZRwxJmKQYW7XSRg2c1a2cTRdZDrt2N7ZY1Ub6pyJ1mK7jsUi8fB9d3K4V7N5GGja\nANkRveLZZ17A5MRTjz9FYfvADGRYmXOizhCTRiuFSZ57T5zk4+97mFJHxiZSGI1vA8lIxfvsa5e4\nsr1PRvHvfvU3+Lv3/PcU1tJ1EkqhUl9IxA4MlK4iZ6m6rLXH/glbFiSfyDFL+HGvTAopU4yWCKbg\na8+9ys/8/D/lpZev4OsWHyPBI9P9LPLJ1LuOZSwkLaCFxUX0iQ0CMKpKTGlo9AJuWnFtf8oTzz3L\njd1D0B2jlRXO3XmWc2fO8NqLFzk7GHDv3fdw5fIlvuN97+PZC99g/cw9fOPlF3n56QvcfPU1hk4z\nWByxsrjEYDDmbWfXWD95gp1JQ8xZcleDLHLKWHF5Am0zxRYFVrVYlZh2tbTrsgwdXeGITa/ooO8u\nKwRNHOV6Nba/lt2IgKEoBgyHQ9R0RlaZyeToeGZWFBajLG0rPg2nZYZjgdVixvrYcc96yXvffp6N\npRLrlLyuCWSt0Q7ZCfcI45wFHIiOsrPv24XOFcScUDphtMI5TQjS4khuQDIlg1xz/0bJc7s3aMNp\ncjSYaojgYRT+tvWGHDFaEX2HMUKVnbdffCcuWtQtanrnQx+WkbjVsrnVj7+d0S6tHplhJTLWOlLs\ni8M+gLv7/8vCro0mxTnTRR8POG5vxcwHV2reIvC3WgG3Er1TL+eTn5EpeMdwOCSlhM8Bax3OGHzX\ncnR4SDMasbq8wg/+4A/y6tVNnnj6GQ53djlxcoPgJT5uNBzCMArfomkZVhWFk/AC4W4kvG+xpaPB\nUy1UfNd3vY83vOFefulz/4ZvfOMCEUPMAes0d505I/xqJfFfVhtC7m8Q1YCQZBeCVscnQ4xRKnhr\nKVxJiom6rllcXJQWS9se28TnvOc5p2I8HNE0DSF5TOF6R5wiZ8s8xECMN7JrmmMVtNPHbjmgd9jJ\nQFuQsLIjDxk6nznab2g2Em2pmIbEYdehw4yTI8Py+p3sbR2wf+F1usJRt8JSzyGKnte3HPVp7s5Z\nYm/yMl2kcAOqQnPn8gL/zQ98iHvv2OBw7yYLZUnynjol9pvIlSPPMy9f4cgrjM589ZkLfPXJZ3jv\nIw9RuIpu1qKUpa0blI29+cNTFItoJYtNSgntJE5RoSmKEmUsnY+YnlteR8s3LrzI//bT/4jNqzfw\ns7Y/fvE2T4MM31IWeiNKE4Pn8GCP8cKQNBpS+8B6MSR3HXvNlFevXOb1azcYK4+qEtYOqQrF3Wtj\nHnnzed4wLnnnQw9yYmOD119e547Ty+xcjAzyhMmVi8QQeOiuDd737ndwODnkiadf5bGnLrIxegt3\nn15kaXnYt9rkegox4BS3WN+2os2ZmDTJisc7ZiQaLgWSyoQUMdaIG/e43SBIYWM0zlmMBeU0C0px\nCs9otaJYieztaibB47tICJkQEtYFqDpKpxkWGkvi3NkN3v/Ivdx5+gSj0hBiQ9aJdBwuHskpolXu\nz0dhqsgaEGjbhqoaUDpD6yMeCWmPviElDSnJe9SZ7EFXHak94g0LC7xjcZOjbU1h1uiy9MNRRu7V\nCI/fak2cB8ccQ8PT8c2v8x1F4Y67DTlnSEoWZq2O16zc697nAL/5cFXWRINC9fPFHgehElHBysmN\nb2t9/bOr2JXqe1S3dOq309FyFht0YR2pt/jOD7G0CeJxG0YpRfCCAlBKMRyNJCzWGKrBkEHhmHUz\nfNNRFoXoVbNUZd/7iU9w5foNrt+4yrAqcINSpv0JdGEZlCW+cJw+fYqTJ05IJWYNvpsPSyKmkmDp\n2HSsLC/yP/0Pf5fnn7/If37sq7y+eYmmazm1sS45nCmRY0Jri1aKtmsplREksZJWB0q2/nOlzBxA\nVJUVPkRCiBiTcK5EKcn8nIP9S1dglJgivPeo3qRE5vhmUNfh+AZljAENPvrjwSuAD/MJvZbtvNLf\ndOxA4UPiYOeIvdUjlk8vyQKhNCujAhsTbQkf+a5HuHDlBoe7E/EL9G7ZgXPoDGPthJ+T6C+KTLIR\nZxVDDW9/4F7e+/b7uXnlMsm3UJaEmGi6SJsMF1+9xLUbB7SdwTrNwXTKr//6b/LQ2x4Q6mBR4RuR\npFnnCASGgwE+SqCH073MNEjrDGXRphRZm5JhOFpxfXuff/JPPsP1rZt0TSB2AU8kZ1Da9uiLJD3s\n/r+QIj5Gtm9sU5UFdn2d9mCHmGE6q3n6xecJqeWH/9LH8G3N4d5N1sZ3kE2WLNWt65x2mq2XX+Dw\nyitoMlPd8q777wVteevf+GEUWRDK9RFUJzmzcQe//XtP4LuOHBsKa8llQVVVzLqpGHu8BGXnhJAw\nXYkuBmRVE4C67foqNeBD7NVi0hpV81Srvm9trBXDoMmURWa1hDevDvnAx3+Attlm1kyYTmtm04au\nSxwdzlhaWmbr6jVObCxx56lV8A3j4QBXzoAZYMkq05KwSQB/TdugUpRqVokwIYRIUfQBHH2BMG/R\nTpoZwWicW1VfoAAAIABJREFUmxeBql+kOwZG0+UJJrYMpwc8tFZwxSgub+/RdRFXjOgCGFeJDt0V\nMtNzkvMgTCZFWRTEkIjBo/DHg1LdS7Ez5rh9Jbtguc7n15DWAiCMSdajsuhTbbPMBU0/f0tIoPm3\n8/izw/aGFvKtBBq09OnmWFrT99K1AgzorNGqPH7LSicUHcHXPTNZPuiqKFBKMRiOyVYL/rTVDAdj\nupxJOGazwJ6eYAvDg/c/wMfe9z7+7ef/Lw7291i0qywMR6AVTifa0OBM4j3vflg41jGgtMMoTekK\n2rbGZumHKYT3kIG3vPUtvOtdD5OA1zc3WVldhRT6xUvIdEobBoOKLkFMHqsj3gdC9MQAZVmIFKrz\nDMuK9bUVrl2/CrkiZwkDt1rjBiX1rMFaSZSJUSLUnJKft6m3SecWZTXBgB1JSPWs9SSVyUbQrjFB\n9hHnNDEK3xsyqVcI5WT6SiKQMBx2hslhzeFyyc0woI6JToPNmioGBmuGt913lsOnr3DQ1eC0UBuV\nxWSFyhFVgaPA5gENU9q0yCAFzi4afvgT70cpT1WOmUwOqZRl2k2ZhMTz1/Z57OIlpk1moDKxC0yN\n4ZmLl/iDrzzBRz/4PqnOCouyHShNYUYiMzMJlfpsWC07EWsKumRAa2KsZfhmHHUDn/nMv+CF5y8x\nbcRRq2JFUhOMsT2zxEG2wi1JGmuA5InJcOOg4/r1Gzx4xxpXjo6YNJ62qSm0Y7xoqWLDxshx0q2h\nVGRxeZHFxTFWATGiS00OHp0zpixJRQmFJoaAwtKFBjMcAHBqteIDD93DeDgi20VSrHGFYnp0iAo9\n4jrJUDzl2AdtGJpmRrG6RLMnC1QIkXkYBlE8AClHdAajDdpaCmso7C3+uKaQ3aKrMd0lStfhgmd9\ntaAbgyKiqNAo7lleYzgqUGYfhSWFgI8txiZCZ1GqZOw0SQmG2PRR3mAwSkJzUhD2vbWiiks+ErTs\nKK2V2ZWJhpyizOB6iJcn9wDCESoG7iz3+PjJ13g2llw6aNhvFF1puTlTFNmS0xKFK2naGRj69m4J\nqoS+ei+iBM34JMYlgyIgUXdd12HLAkhYVZBC6M2DvfHoVkeG3Mcvgkcp8F0Q34stv6319c+2Ymdu\neoGcOZ44z9Uw4pbMzOPIcr/AaCt67NZ3WFdKr66oMH1lWzpZ3OvQUBYlbQjCO29mpBhZX1/FHx4w\nbT3War73e7+Hpy48zTcuPk/oAr7rMNbR1TO6esbbHnyQR971LkLXUjpDDh7f1jQ6MRhU/TBOpE7D\n4ZAURFWBltbCXXedw0fJZ8wJnJYMw9KVvYywf99lSdN5uclZjdEalUU7PBwOSIxQRoD8c2WCsaK1\nzQpa31AUJcG3xxKsb7I050jbtBS2oOsCsUvH23P5vG/tmuQGEY+1+POv/+HJ/7TrmHQdCUvnM8PB\nmOQPRLoVM93+Du+86wRXLr7GljHoYSUDRJUZlwXRl9y3mnFdTW1HbIYx5JaVYclb7r2De+85S/YH\nGBsYlJo0a6GDWVRceP0S2weHhDCngWascjSzjt/49d/i3W+/n8Vx2e9mEuWwomsbclIoY3H9uaaU\n+A7mqoQYZE7TdhGdA//8n/8rHvvaM3RR00WxgYdwG9uoD17A3Gof5gRog4+Znf0jXnjpZc4uVrS+\nQ9WRlbVVPvCQI6eSyawlW8tosZJhdk5s7+/L1jxDO92n0paV0QIVDhUzqeskFSwFnHX94uWxOrEw\nLhg4S2g7GeAHxezwiEorcmXJ2UMWE0zhCrKxdIis+Pq1q+SQ0Why1hJCYjzKiRNboaiKgtHykiRA\nhU4i5LSiLAxWS3CM6hHbikCKHq0SKchOMSZhRYWg0US6TjjsxkaMUjijOdg/YjAo0E4WwOiDqL0G\nFdndPmOSv1tjadoWtOzEtbakKOe2sWLEy0p63UZpbCkY5i50KGu4t36d0+tr1BsNURkO28ReGHBY\nG64e7HAzjNhNmmnMYC1Rl9StxlNQ2IJWd1gjkL3kvVR4VjhPo2pATmK6tDGCcXQxy/qgfL97tkQv\nqWbzNmiKCe2KXhL+7T3+zBZ2ow2ukOSj2F8kt8Pq5y0aY/qtCzJcnQ8sQmh6eZ98j1GK4XBIjulY\nIjSuhnRtTVWV2NJS+4aD/X3s+bswVUFpHVVVUJWahx58Cy+//ioHO7uQe2FlO+Xe83fzQ3/5L7Ew\nKAVO1N9chsMSpTJd21CNFsRJ5mSLqJ0mRqnCi6IgRS9IzpQp+tiz+U266zpihuFgKIM8Y1A5ErUM\naJzte35aSSjC8YBIHvNwAK2FQ5NiYrwwIvh0K7h4/jq+w7qin0f0gP+MDAuNOExjiJCQRJ6ezTN/\nnVs33NtwpkqzfWOf9ZUFTo8GhL7P75skoKzcce/GAh9463n+w6uvsTOdsLy4xB3DIefXVuD6q/zF\nB88zGI64bE/wuS8/x5nzJ2jrQ/78h9+Lig3EiNWBweKY7mjGYQuvbO3z0tUbzELEYNE5Y5Wha1p0\nabl0eYsv/cFjfM/HvotZu8egXMM3DZ1vcK48ns/IYi6tJUmIT4AMk62zPPqF/8hv//ZvMzuUWUOK\n6diZmrPpv1/hY0TNe6gGYbP0Las6Gb723Mt89LseYWFtlRtb17nj7GmGo0TWS8Qb+1zZ3WEUBxwd\nNkzblklb9zs7z8rCIpVO3LHacu7sOtXA95jhAq0UMbbk3NsMTOTkyWVCE9FI4PvO1h50NW5hQGin\n2MKiksZaGdbbaogtKurG86Y3v4V3vXuT3/qt36ENtSxG1lIuDCiHIwpXMBqOGYzH1PWMenJEmh4R\ngicGTyQxbWpiHKOyom3anrsSqesaZ0T3nWKmaTzDkUGRmE6nLIyH5BiJqZXBc8r4tsY5R1VYSEFE\nB7fNf5SW9yc+gEQKiE8iSbVcT6do2ydGaUVsWhSeQWUxRjEwjrprGeII9TZOJ5zNLGG5Z1QRRxX1\n2oDGLNLpAfuTmqPO0CTDNFpmXnPUdBy0mkmrqPOIaaqIesAkG4yrqNsJ6AqlK5pygtIl4MAnKg0h\npeMMVu9D7yI30LP/Q0h9Ff8nf/yJFvb9/X1+5Ed+hAsXLqCU4hd/8Re57777+Ct/5a/w+uuvc/78\neX7pl36J5eVlAH7iJ36Cf/bP/hnGGH7u536Oj33sY9/ynJp51c6xlfd2YL1zDm3mmaYJYqIsHaHr\nJIfSaJquwzmF7nv1zazGWoszVrZpsZWDmRLGiezx4OBA9LzB4XPLdHZIVpbT505yzz3nuHz9Os3h\nAVVVce7cnfzwD/5lVpcWCV1NYTQmy2Q/xiBWdaNpmplsrchCGtSGnIIEEMTQZ3qKIcvHBqMsSmWc\nLXAGjK0w1kg1DmhrUUnMIMl7hsMhQWWU1YLerSoAYm+XnvUQsTIVOCf9Xt+l493PfKucnSUbqcSq\nwjLrsb+3M5/nPcH5EOj2hfyPQoeqHsd6Y+eQzYHlxuFJzp0eMjuaYlwpqpFuyvd+9DtZfu0c//LX\nf4dRVbK+scr5c6cZLbaMR0sconnmlRc5f6Liz73rATo/5fTGCJUbckqUGnaPjuiy5Uod+eqLr3Pj\noEErJ3CzDOiEZOEopk3kC//pK7znO95BpqV0oEhUVSmKGOGZ9Qu89MWtVVJIzFEWWrG3uyOOwNCS\nO2Ht+xjJOAmD6ZUMxhiyghy9DJqROYVSoJPjpas7PPvaZe47f4691y+xeWOflUEi5n02Ti6xvb/L\n1vU9VOGo25bQeVJuSN4T3Qg7MJTaYnMmhw5bGFJoelPf3L5uez4GaG05Ojgix8TRwQHLAwu+k0xZ\nJTf1rKBuOkYLwumJaB7/2tf4737k7/DsxVd5/uJFlpdXGC2NKMbjPhtUpHmzzhOzBG3nGlxZUFQj\nQlZMu8DBpEGrQI6Og4MDFsZD6hmE0LCyPAYUuzuHWLeI0Q5jEs20w9qMNSXDqhBkxsBglASu5xiJ\nPmAryd6dh3iL8slQlhXKcCzhbWqZs2klN2JXFVKhp9z33aWN4nKkRVFUCwTfkn2NM4l0tCeSYxSL\nRUlMcIdz5GpIxJKwZFviY2aSByQ14NAnjlJiv5mw5+FgtsN+69hpDE0s2Y8dtlymUyOwlq6e4QqL\nD7Ucv3lh5TRJGVAabRR/xKX3X3z8iRb2H/3RH+UTn/gEn/vc5wghMJ1O+fEf/3E++tGP8g//4T/k\nJ3/yJ/n0pz/Npz/9aZ599ln+9b/+1zz77LNsbm7ykY98hIsXL35TlXlrUbi1dZ1XBiAHZh5JdRxP\nxa071hxo33XN8fcabXrViqSzyM8kYQ70B3txYcy1a5tS0avcmws8Owd7LK0s8LGPf5Tf/d0vQsqM\nByM+/PGPc+e5cxTOErOXtlGUPrh1VnCgWIytZMSRlEzqETQAsUPFPkB4Lp3LEeMMWhnadkZMHkV1\nLGG0Tir04HvDRVmhFYTgj+lx82rT++5bKunOt6QUsUrAQ+E2yFXs+/+RPm3dWUwWEdv8001J1B05\nq1vTfW4t6n84oksjapnJpCYkqEMHccDSwjKTNpHp8L6hqSe8/7438PTdr/D05hYvXG/Z3H6NjZUT\nbHrP1cmUG92ET370O7j71BqmXAM/JWuhfCplWFxe4Zmr2zy3vcVr13bpvIEUyRGRhKUou44YMWgu\nXdni97/8GB/88LtxtkDpQMTjCkvbRFRO/UXV9RpnATzlHAXH4D0f+dgHefaFl4hffYGcO2KI+Jyl\n7ZznW+Q+5OQ253RSYJXI2tpk2D6Y8uSF51hYHLNzMMHZHdbOnEWZGVuXX2bJFdSNYjK9ycKo4u7T\nJxhVJaVWJBNEvpqPONyNVOMxg6WCeQ4nSqP7I5vQKBVJRFypqWuPJqFSRGWDSobo+8hGCkxZSmtB\nCY3xa09/g3d++If4wIc+REcG6/CpIwAdGaMk4MXHCU4XNKHFOYsmo2xBEzI7+xO6sMzR3j5lMeLo\nKBD6ndL29i5aGRbHCzR1YG/3iKWlMVU54nBvF0zH0uIcxWEIQdo8EkyW6NoafZw+dAusFYOYxCyG\nelITUkZpS1U5jHO0vul17bLeyPDfY1KSgPDc0DQakwosjjq0mDQSE5tRxGjJxpEDUE9wxsnN1Nei\nXisMJhtOZoUuKxgVBDumoWLixuyEBa4edry2WbI19Wz7jpm15OGQEFqMSqTQiVpJGULXEIsKlQUX\n7OO3t7L/sQv7wcEBv/d7v8dnP/tZ+QFrWVpa4ld/9Vf54he/CMDf/Jt/kw984AN8+tOf5ld+5Vf4\nq3/1r+Kc4/z587zhDW/gscce473vfe+3PLePoWc3QlkOjlUaoh5LWKuQ7memKC3Ba0kH8h2lKymy\nEhBUSCTtCSh8DKRsGNpKYFNW9N8qKoa2xM8aQgxUzjFICozDLBnWq4Jzp04xvX6drZs3eO93vIdz\nd53GaM/saEJVDshRergxdmSl0BQUpkL3FUIPloQkuZxZiWMx90Ofruso+h6qDRGXHDk6SlehlZN0\n+jgBlRmVJckHdOHQxjJUmtRGTJKq2sfQ9wzBFtIv9D5QGEtqI8HKgj63OccYBUxVFOgIs3bGwFhC\noWkzx+Eman5zTQm0IaS5p0B2WXn+vb1KJuFBZWZN4uZhy6WdIx45f4rKB1w9w8dEbUu26prVE5Ef\n/eQHefK5F9gNlu2J5/rmJhf3rzCuFH/7I9/NWlniFm1/3AOoSLYZFXre+s3IN164wezIY0LE5z7c\npIc4ae1IOdLGyN7E8PwzV/iBj38YlQIhQVIlTQfWGCDQhY6yHJIwxKzAt2gVUVpjbMn6asU/+J9/\nlM/98uf5jc8/CluB5BNeeVoXhI/f9Y0tFcjHoAwliwtQhcB0Fvjyc5vc/9DD3H3vG3n1+ee4845F\nThdjVk+eZtY0nF4psWqN4cIAZTLVqJLeeVlKHkGUak6rgpAaMIasnByXlISpFzM5K3RUlEgaz6mN\ngejFY8aHKPkHC0OiGTMeDaEwhPGAa9envLy5yU/93E+zfdBC3x7MagAhMDYO33l821KNhhzu7ZJS\nlNZbPaNyGm0dXg+5cRjo6kiqjyjKIa9sXePk+hpuNObm3gxXGhbXhuxs1wwqsNUOroAUl8BYspph\n7YhZ2/Q7qYKy0jRNKwugtgKwMwWtb9GIgc53gt21WqF1oEmZojfNGm1kTqAlJMNqmTOEztMlhdae\nRBSypdUoHaQLmkH5SIydKF76nXDrA+hENShQ2hBiRpeOzrfy+v4IlyYsdYesFGPuXS54ZG2FOlVc\nayLf2N7i2W3Nfh7TYlHKkwk0vqUoBjiEGaNTZmj/lFsxr776KhsbG/ytv/W3eOqpp3jnO9/Jz/7s\nz7K1tcXJkycBOHnyJFtbWwBcvXr1mxbxs2fPsrm5+S3PO28T5GMXlkyBU4oUpSR4pzRPNVHHPwPi\nzGpbcEr6bMaJxjZ4LwMnLVs35RSdj8evVVppPxzs7zNcX6Z/WnG3UqITvPc73sdwNOoVOhGjpB1U\n9EHVXdf2umvp73vfETvZbcwJk9LbnrtDTW9Nj5Rl0XPNBeyP6jMjAWsEFDYaDpl2DVVZEq0l5iTD\nWRQLCwu4m+62m4jqtbW5XwhFe6wUx++nruvjqr3oFUMp+540F4Qb02uSBcMwN4BllDHE3LuA+/cr\neaBadvw95S8mwQYcThtuHtR4raisoRoNiSEyCYb9I894a5M3rK7y/jecIzhLsboG9oPkFEltQxsa\nqoWhODm7Bq0DRSnnRlCKl7a2eW3rKpu729TJgzMon4i9Lj5niDGRsiapQEvkmQvPcenyZe46ex7r\nDFlLnGGOCZNEibW/c5PhaBFjCnQfLpwyhE5aAcurA/72//i3+e4Pvp+f+qmf58LzL7Gzf0iIYp7L\nWrgp80dOiZD6EGmkJZO04sq1m3zp8a/zkfe9ndXTJ7j8+h5Ldw8YjA3DsQafWMrQ+RkHs0ydLDFp\nbPBYZxgMS5ICbQtcFOmdMsXc1w4polOQ9k0ngfDGZOygxKRIVpFEoChLlImYUYEHVDFitzNceHWL\n6BZ55fJVlB32GbozytGI4CMpgrVFP3vJVNWALgXqw33ReZMw5YBsC27sH7BYKKaThoWlJYqyYmd/\nnzs2TrB1pUVtJ9Y3hliX2L4549TpdYbjCXv7R3TdAkZnnEvYIBx8jDCMnC3xvsYYJOA6dCjDMba6\nLCpc6VA69eeqOGylfAyCyb1tlztvORaFJWdD23lhOWlQOfVtup746Jw4TimJKTAajWi6TgiiyqKy\nQgWobEFsPd5K+LvKARNr2mbKYrHFsh2zNhpz3/0LPHIKnrp0yFevJnb8MkkvUZUaqRbECeuDp2u/\nvfHpH7uwhxB48skn+YVf+AUeeeQR/t7f+3t8+tOf/qbv+eNStP+or1nbux17LbAr5m9FeOLihryl\n99QIarbq+8vAcdAG9IaFDCplzDzgInT4ftiqnSN5WSD39/Y5sbaEQsD7zlgGZUVXNwyGQwwKUqTo\nOeoKTer5KtZWwsnuVSNFURwzKULwPXJX3l9RVMdOWqUTTdtQ2KH8jgbRtZMYj6o+aSniW0mb921H\nUcmQbzAY0k5mwvQeDmmCKGe6rnejKZGJDqqK6D2BRNPMRNdelrStKCbm7tWQMposARNKk1J9fIzm\nOnajNdY6fBdkMJVvcX3mpE2l+paEMsSYuLF3xOXtA64dTLHDknHhQClu7k9oohXaXbCcrixF2dF0\nU7IqGZQVZCgqx2x2iEklqI5sJVUHpWmC5ebOIQ+86X7+4x9cwERpF2klNEXxV4nF3KgC2Worbu5N\nePLrFzh3YgNjKlJs+sCRDMZgjGNheSS/l07EbLDlIsr0io3gqZz4De67/438zM/+ND//C/+Ez//W\no1y/eSR9XJzI7XIfs9L3RbXcCYk5kbNhf5r4yteeY3FU8rY338Vr17fosufOE+sc7O9QDQbkGDis\nW/YnU9rZjI2VFcalZm19mY1T61SjCjdUxASJXtuXpW2RcsakANGjUpRBv4aclChDvAejwCliUdBh\nyKNlXri0za99+Wt845WbhGzossIaaBtJo0oRlDL9/3LdNl2LzpFqMCI0NdYoysUx05i58PIlzr7t\nDspBycJ4iRs3b7C6ssLWtU2MVqyd2GBra4vhgmJpfcC1K9eZTRZZXhhidGIyhaXxqP/clCi44i2n\nte1/1xz6ODpEjeVt7LG4crOzzuGzAMDmLV3VG/8kkCcd/y8+DUVVSqB0jEF0+qYvEpXIPY0xkvda\nFDTNjKSkYKq7Dm2sZOpmMM6QlFxHxhpi1zAymtA5iJZhBNsd8MZigdP3jTh3En7j60dc6SpCLChL\nSxNDDzODsri17v1JHn/swn727FnOnj3LI488AsAP/dAP8RM/8ROcOnWK69evc+rUKa5du8aJEycA\nOHPmDJcvXz7++StXrnDmzJlved7rm9fkAwWG4xGjsVxcZVkyR1r+YbDO/AbSNA3rywvkXqZnrUXC\nR+QEzjlKBFivSpDqX5xeSWWuXLnCm958D13bURmDTlmkYtZinCZ10qpJJGLsCF5cbc6KZe+492cM\nIXSUdngrEDtErDbE/qQT5Y60Qmw/4c5G3Oc5J5TOMpi1pUj2EBa0ZG4mglK0XScSLW1ZWFhgevMG\nRgtmVoaGqr+hzE9sc9wzn81mzCO75tXJYCCIgK7rUGSqwh4v6NH3lEd9i1Q3n1sosStSOgn+yBGU\nkv6qKGo0V67u8+r2EWfetIbLHXesLvHa9hG7+xOeOwhsbu5yemHA2fVlTm+sEbqamCfEFClLQ2Et\nC+MFiqFC8DQFITmu3TjizLl7uP99H+TLj7/Al770NUKAmG9xTPIcR5GCOHijomnhiSdf4C98z0cx\nqiAkiWcrrKMOoLTBh0SI0DQdh5Mj9g+ucO3aNju7OxinWF5ZZLi0xh2nznLHmbv4B5/6X/ju7/k+\nfuYXfoGvPf51/Cz0PTjVtxHpJWz98TS5fx3Fte0ZF1++yl13nWN0cp0XXnudhbWTvHrtiN3dKxxk\nSzaGpcUhJxfXiVozWlyVIiFZ0tTTNRNwGu0cujBifdeK2EVy69E+QRfQztLrQEkxEjHY8QLeOtT4\nFBev7vPbv/J7vLS5RV2uYMsxoeuoJ1N0AN/PhzovfBOtTV9NaobVCGcURkWsyjT1lEnrqewiezen\nvPDKVc6++40UBlQMDArDyuKYw70dNk6uM5lpptMZSwuWhbHj6GCfxeE61XDI1vV9hsUCxgr0znt/\n7KNIvaHH+9jn2ycG1UAcoM7hvSfEgFIRYy1GzyMiI1FHmqbFFfaY1DjnTsU+iCb0MMKitChsT0ot\n+lZnRJGwpmQ2m1JWo95t6tGlpCCF3F+DxmL6GdUcMqdRMEqgAjHPSKklhAljN+ChtUXSW8d8/sI2\n+2xQh4LdC49z44UnEBbPnzK299SpU5w7d46LFy/yxje+kUcffZQHH3yQBx98kM9+9rP82I/9GJ/9\n7Gf5gR/4AQC+//u/n7/21/4af//v/302Nzd58cUXefe73/0tz3v67B3Hi08IQYJri+I4JEPcqLcS\nR0jpuCUD/cLfqzjm7Rjoz+Pcr3dIW6awAgtLAYzT7O7u9ieq7q9Cec5Ipp1OqYyTKlVLpVINRmKI\nyKIFP06s77EG8/i52xPM52qUGKVV4twtamKbPDElmlkrcVh9SIYiU1hHF2OP1c24QnYDEoArSAEQ\n+eJcvaKVw5pC8AE6Y7Wh7mVit7IWHarnUPjOY5QsbrO6QfcD2dt/D601TduDlFJGWYMrLIuLi7R1\ny3Q6lRtttv1gC0IX2T+oeeaVq7z1znOsF5nVgeX8+hLNpOP1acsWiV0feW1nwvJL22SVSSWsLA04\nMxxwyjqGKlOMF0Hrvi9e8PtPPc073vNeKC0f/N6P8JUnn8VP6v61I9CjEBKo1ImyCEvTKl58aZOv\nvnSDlY11Nq9v0XYtr77yGjdvzjg8PGJ374i29UxnDU09JedMU0e6HlmslGCOC1eysLLO0omTvPGB\nBzj3pnv4xoXnqWdH6Cyeg9RrBGQ9Vb1MtwUKlKqIQfHMc68wHhb8t3/5L9LuHnDl9Rf5ru98Oy9e\nfIHHn7nK1ZsHTJoV6nrA8O6zXJ3N2OlmbB/ucsfKIjaBtprltTVi6oMdnEEnjTGOMO3QAZnBFCKh\nK5XDuJI6lejhMl+6cJn/89ce5eXNbQKKzh7iSsfa+jqL4xHaDYlWNNW5a8lZUNB13TAej0WaF1oa\n36AyuKLCDUaMlzbYvXSJC8+/xvveep6VRcfCwOGbKadPrPHy889z4vSI5ZUxN64ckVYMS6Mldm9M\nafwR5ciysj5m1h2xMuogFjglhVRKma7tsFYxHo/pukDT1eSU0Vb4+lVVkcj99RmIWaGVIH0VhuFg\nTMzdN4kB9NyPoGSXZYwka2lTYG0pvXgl53nKCWcKtBF3eNcJWI/Wy7mCxSlNaD12WBJ7lVlCkTHY\nGNFZkaPGKIt1FfiEr6/xwMkzbM80X3z5gM6c4cw73s+Jh95PMgay5vl/9TN/egs7wM///M/z1//6\nX6frOu69915+8Rd/kRgjn/zkJ/nMZz5zLHcEeOCBB/jkJz/JAw88gLWWf/yP//Ef3YrRJTnHY+Ql\nbm4WkQORcqIsip4PIWkmKUcJeU6ZSMZYLfjZGME5yUgNiAtQKZLqh7EStINzGq8zs9mUWReorMbp\nhE8tFhm6laWjKkvIkdBJH21/f5+FhQVhl/dQrttTxxMBnR05CkFPeu1aSIc69DuGAt9JFWrtCKs7\nmnCEcyNWF07QdQ1lUTEcwPTgCGNKCmUxXuKysMKBHwwGTLuWrm0pjBEwkjG0tZiQbClhzAMtRhRX\n9EPOpPsbp8gou06MXmVV9PgFzXBYfdPNSvXcmgjoCL7L7O0eSQtIGVAKrWoiYDIUylK3itcu7XN1\nv+HcXWOWdOCBcyfAe9x1ab0dzmb4qDmImaqAcTYMQ4fJoMYWs1QStZijbDnmxdcPqEPggbe+ifZw\nF9X01tJXAAAgAElEQVRETMqonCRWEE2XEsa6fheoxWCDp1WKV7ZbPvW//h+A6i9gTdd25KCIPbMj\nKyUaYqUJKX4T80MpJUAppeDaNvb553n893+fFA11PYMYCfRhDrlPqAdxTSoFyAXudCAq2G8sv//0\nJmdOPs57Hr6fx774eQZPax64942cOrnBpc2bHDbw0uY2T7z0OvedHHNi/RQ7BxOsidxzaokyOhno\nmQOp5roBLjvaeg+SIK19znRdouirnaQgDAb8p6ee5V/++69wZfOAvWlN19XAEdqU7Fy/wcLqBhvn\n7qIshPCJLRkMRpjKkbsW7yyq7aisoxwOaJoZXQwEW6G0p26nbB4e8fTzl7j3w3eyEge0KTLjiLUT\nSwx0hV2EfLrD6obBaASDAYpICJaZRBdhdzQ3D2sGw8xopBhWZV+ly3xH5cR4OKDLAZPFiJRywGhL\nyBACZN+RycfGH1nIS1KMPThQht1GD447AvPc4+hb2ZWTQUvL0WpHzCKMMBZC21JUFZUb0XRBMnI1\nJKOog8eaAoUTE5eJFG4MKhKVzIJUgMIaXNSMjmb8ubNn2Z9GHrspnJ5oCmJoce6/AlLgoYce4vHH\nH/+Wf3/00Uf/yO//1Kc+xac+9an/4nNqrUhJOMRNO8M6UcOIjliSbyQEgtskj33vvZf+kfqq3CrZ\nDvX9drHrqmPTU84C4gHpa9fTKYc7exQrCwQVcUqSzF3phDsTPCZLe8N7z/LyMkdHR5Jd2AkXuW3b\n4wVeq4IQE6PhUOBJMfbtmoA2PeSsr9pFLWMgKbyPkKXqzimJzr3XrStlBK6kwDkjqoiUGA1HbO/u\nCJJXKSzSiqIUGVfTNJRliTGKyaTBFa6XSWpm0/rY4ToPL5mfyHOH6vwmLJ9Dd1x1zncH85YN9BLI\nudYd6EIghMhrV2/w5HOvcHbhbhY2xpQu8eDdd3BibURIHh8Dk0lD3XbkLrK6vITTmaXFEUsLI8rx\nIqbKBJ1pE/zWF77Eg+95GDcYYMqxZKNqQbCSxDfgtCJlyZdtk0QOxpT6FlJg0krFp1SfcZYzWkm7\nJPYLsVZCgJRNnChabl/Y562WqAw5e0IQLXiKSNoE6pvYILcDs2SwGyFDTsLP//J/foK33H8XH/ye\n7+Pzv/kFnrz0NO96050kN2RaH3DkPVeu7bK3fcDy8pTTG2vs71/m2vUt7lgYsn7qBFQFrjR09SGE\nwKgoWBgM8L4joQgx0PhEqxVNNebJb1zhc7/5ZV55dZu6tXTBklJF7tN6UheZzjbZublHuTBiMBji\nrKMaVrhhhS0tdJqUAk3b4buWsiwwRe8nMCV1Ktg5Svzy7z3FoZ9w7uQpTmwsEWctuh3QbLccdS0k\nTT2JNFducHV3wsaShNG/ePkqZ06d4u5TY0JIeC/FUEqB4aikbVu6rsGZ/jrvpcTGSHxgSsKWquua\nwgg7RlnZhcZ+d4yWjkDKmRA1bU8xTX3lHnv5tahdYq/CiZTOkWI+LoDm8D2loCgsddNh+nUh9eTK\nlMSAqbSi7aZYU4gzNmVZ5FPCuExiRsUO33H/Wfaf3uKF/bG021xB7gUQf9LHnyFSoN8G9Rrz2xeU\nW3hLfazWmMdLVVXFdCLxbnMGc4p9fyx0DAYjOt8IDbHXqIIsxEUxonKCLL2xvc360hitBR2aVGae\n6Tnvyc8/zDlcKISA7fvV8wpAa0lyqaqKWS3tjwzCkneWnPtF3nsgYU0lzA1tCD7Rtl6m6TKylaiv\nLOajY5V0RAR0SlFZR2EsOCtftYqcIs7Ja4wGFb7zuKJgOBoQQicGr6yoqqpXFMmWdTqdicGm/6zn\nqpk5b8bagrar6XtS8zX8+PiI7lsfM3JUb3886uDpVza55+wyKwslp4eWkYNquCSGlhRIKRBiZPP1\nTc6eO4G2BRiDLUuoKigTubQ8/sSLXLq2yycffhhvhbC3sLgkizS6n6dASnIMm6al1fM4MkXhBIFK\nf6zkcWuRzhJJTwyJkD3OOJEOKgmUOI4/m/+Zch/CMW+zSY82ZJB5zq25xK3zuc/NpG/7mUzwiUu7\nLb/9hd/nb/zgx/nwhz7Ev/m13+RLT7ScPrdENB5TVTTdEa/s7xGu3mRl5RrnT62hBqcZDEZcfPU6\nN/YbrLWMh4l777qDd5w6h0mepKbkrhE3rHJcmQX+8/Mv8oWvPMOlS/s0daD1UmSEKPyYpObqs0ye\nzahnExqtycqgnGa8tHBspLO6lxU6C3FAlUo2r1/l8NoWk4N9kirYmgT+w+PXeeOZGSeXNWdPn2By\nY5sH7z1D6z03tm/ytvvuZmlhyNbeIauLS5xYX8b0Rd766iIGxaw+xOhMUZg+TFzw3EVpe1+aIAXa\ntu0LDQ1GH0P0IpnKOQm40YqsRUk1D60BcHoog28jfUWVBfuhspxnISWsddR1K1hwc8v3YIwhdB22\nKCgLKfIwolLL/U4uBI8wsQOBhKboh7wRHxMZS+EMqt3h3ELBe05MuLKf6Lylo0T/aevY/2s9JORZ\nCx3RqNsuhN4wozh2pdL/OU+SFwmkDMp8FxmWQ5T2fa/MUxQl0FfKSKVk+591Whbe3Z1dhg+9hVxP\naDtPIhOjpm1bRoNBb/vXxzec43BtrY4XdTFJdRQOYpjJhR99b+2PSHamEUOTFbcpSoY7VmUyQWSV\nIYs7tWfn5NhTAjOQFcZZnBZJp7FODE9WFnbnSmaHB8KkGAzxXUcykmrjfdtLLy05KUJIvbIh4X0/\nZFWyM7k9VX3eyw+JvrIXcJnqh7S3V/bz5HalNLmfCzQ+cfHyFr/7dMnKUsXGm89hYkcysH84YXl9\nFe0MNgfuWR2BLQQ+hqZDYU0imiFXdzp++dd+l9XlM5zYOEFMHSElNq9tETN0MROzFsNVTPjk8Sn3\nt0NhwIQoZhSl/a2/q15Noo0wXWImKd3vslIfFThPmxdp363NiUQlzm8MKQuKNmvVf+0WGuP2hzEW\ng3C9yVJV3mzgK0+9xLmNr/DDf+FD/J0f/BD/9t9/hRT+7/bePGi3q673/Kxh7/08zzuceUjOIRBi\nBjIQggyKeG1F5GpBQOFSym3oi7Zll1WW2pZlVXd1+5cErm232n91V2uL2C0Wt9SLCFygEAEDEUhA\nQshETpKTkzPkDO/4PHtYa/36j9/a+33OyQlJLMxpk/eXOpWcN+8z7WfttX7Dd6i56iVXUlWrHD96\nmrCjxJQF+y87yI49uzlRR779tfu5594jnJsGlhYnXLZvwoNPrDDxO7jmystpuhrnPdONTTo/4ujp\nNb5y9308fvw0zeaUaIIagaQOocNIJEQ/3IPZm0N9iF3CJMvaE2fokkotOOvwpboUrUJWOKxZs8ch\nCqPC4g0U0XDdFfu48SULXHn4Cs4cH/HSK3bSxsDKwZIr9o5xRcGeXQdZriaMi47lq/axsbnBhCm2\nWqaqlolJW4MxBYrCUfgSJBGjaCackS/9H+d9Nq7QfaXpdC4WRKGoxhV6YGUXo4RCrX02wBYDJiXK\noiIYITQdmJTv/TQkez1Z0BhH2zSoNrBi3xEhhcBoNKKtG1WHBApnkNyF0ATOkhghEUZGMLNVrts1\n4vBiYO3cCgvLh2jrfyUZe5KoG5UzWFvQmz30DMye4g5bbQDI0KLpjHrWUi0tIGh7wBcJayPgc1vG\nZ5ihzbRvQ0rQBTW/WF1fY2O6ycQpFtwYYTbbZJwHpYUv8unNnD5NGDa1IYP3PmPBofCFYshNCd7Q\n5ixRN0y1ZStHY11UKXHm7BN0odGGIVt6zeOqYiNsDgxai1YNKUZGxYjSlwSj2Wi/mYxGI5y1dGSH\n9Xy9hn8HzSyKomA6rYmxy74Qeq3H4zF1XbOwsKCDUZS5q8JmizqEJZ0nNdCH3jtZz8YpkaaJhm8+\ncpLSC4d27eSq3WO8adi9fx+mHEGpvq9BopI5EJCIFSEQmLaej338dvbsfjHvuPUnKJLDiMEVY+69\n735mbSBZCBbaEGlSVHaec/kNSc7a8/A9uPxetUWnlVmuyCRn1dl9q++gzKOCVD1IExBnLD2BUf9/\nzvxFh3gXCxEdvLk5LW7jAqenhv/8D3dTC7z5x17Dz/70D3PkwSM8cPfdnDq7yi1XH2Zx117ueegh\nHnn4Ub5z5AQmVTxx4gxr002iFWZ1wIpjffUU337gr3jZSw/xhte9kpdevh/cAp2puOHwK/jk3Sdp\nw+N0qaPpICWXP1PEiM/tJOWfpUzMkcyV8BhwCuHdtWsXiwf3Uowr5Xmgw8NHjj5MV9f41GGto6ws\ne8aWH7jxRVx9IDEpInuv2MFoFEm2Yux3UrgEtOzZOaFrZhhrGLsKayeUNimZz/vMbemUZxCjwkhj\noguRYjwaJAb67zbmvvq0qfXelYTxDhNkaOMZ67PvqEesspBDDIOL1nSjpQ0z9UTI0OoY+n3LZdY1\n6gRnFGMfYqSqxirkhw5dQ9My8g4TEmIEcQZXOLq2A+sVV+86ghiMBJCGsS+4au+IYzPhTLOBL8fP\nan+9hCJgBULcQmwYGbLFAWGS+1290bBqsCR8EpwkKu9oQsAiWFvinM0HgxITRHTTK4oyn8oGlywF\nBWtnz6ko0WTEaGERm0Lu2wu+LAkp4SIgiVFZEUKLN0IQh3cOZwwhdqQErtAM3w+wqISQcKUSfUQi\nRVHhvWAYZ5wsNBuJEQ4JLTbPFJz11LOOajQhdCo1K6JQr3FZ0bYtTd0w2bmTWa1lobGeECPrG+vD\n9Y0xECJYU9Bk2dAYhWa2wY6lJdquwRnL5nTG0vJEce6Vz7IOqjciSZl5XTNTRE1+fSNaZMIWtM9l\nJUIRIRWO8dIym82Mex5a5S/+y9e59cdfw42HPG62ijMNkiqCLyjtFOoKQ6k6NgROhEU+/Zl/4oGH\nn+B//O1fpiQRjaduCqQxfPPue3DeEltDQ2Szi7TZbzSjP+n9TA1eP0c/Y8nwPxGhEztUYWmOah7n\nF2ouHVMyeoAbM+jriNnC9veThvOd6+3wd0VGSH6sDnldB4aSM2ctf/PFBzjRltz6b67mJTfcwCu/\n/xaq0tLEhnNdxQ2vvYVvPPg4H/7Ixzl98jTTaTO8RtvUhG6VHcuLLCxWfOWe43z923/Dwf17eflN\nN/LDP/VvefzUaR46epSNaUuIBTFrnvdqi8bEAR3WzwdSyrOG7Dhho8dXFSHC5rRlz+IO6lbNXpYX\nd/D9r/4BTp44xurpE5RJq0aHYWMWsVWF9crInHYd49JS2oDkysfR4kqPmIjxqsRShwQpYMVjQ5nX\nWqQ1Dd4XuDJrwXsPorIiKgwWVA7aQumrTGCzChiwltK6QV5AMgLN0iPk1NAjdIlxWaIeqomRL5ll\nngv9cDxj4m3u33dtwBdjQqNJaZOEwkW8gWo0pmkjoQckdA0YT1l42jonE0alpJ0rKFzi5j2Bzz80\npSh2Utebz2p/vbSep3FreCfSo0nYKmed9p37nqezljbrpQC0TZOFfLayoMFqzxpc1uroh4NaCTQU\npQOXaGZT0sgTguCJagSRlLEmiJbcebiZUsRgtN3ss/MQBu/s0D5KKWSkj0oJtE2gqlTTenNzytLS\nEinrmZSlZ31jXTdIq8M5Xxasrq4hrsB2bB1w2VQkRqVv+6IfiDqm0yldp2XoZDJhOp3OQS6Vneic\nxReeYlQymzFYCkpKLC0t0oWA90IICuXsNWYSulH6wlEWntSXrUmlhqGflZyfpaaUMBZ2LO1kfXWd\nu+57gKqC9MprOLxUsncSKcsahxA8lKajKRwbZcVjp57g45/7Jvc9eJZ3/vt/z74rrqQ+c4qIUFYj\nvn3vw5x84hRrmxt0EcVYKwVW2bjC0Bu3OXtTKOR527WGvbiw2VPFebMFkSdVLrDFZOzXW/+zHjPd\nP16hsR1JrJqGnNnk779wB08c+w4vv/oabrr2+zh42V5MAbY0PPjI4/ztxz/DieNP0DaibEzpLQ0N\na2tr1PWMasWzvKiDxmMnTvGNe+7nLz/9WdoorKxublUXGFLa0lrpE6r5Wdfg+JNlEiQJ9axGrLC8\nNGb13JmMJuqYrq0yWxyze8cyB/bt5tzpk3TNlPWu4e/u/CaHDr2SXUVk5BwiFSEomaPrNGnxlUei\nEI1gknahSRCSwgOdC0DEOKFwBdVonNudklsvvRNXgXHQta2yxJ3BekVwMVRLeohFySbtST0HAJ11\nGa2gY0xAtoxECUtd2wxSwZIP7N6Sz/vcShWTiVQWh+CtZWNjA8FSTcaqFyXKAG9nKcvWFYPpusHS\nBmH/zh0c2lswXYmMin8leuyKGNla7C7323u5XrWfM0MPbF5xMCU1d961YwkRYVSNhhJYWx/6p8dx\nd103oEEg0oUag+HUEyfZv28H1opK64plVCkMUyTRdVnlxdqhx9oPw/rnTgms7W8QLeVVAS/hfaVI\ng6TMuLZRud/10BCsZ9rMcEVBUZasTtfoUqSoSjrpb3xtfVRlhlfGjLgxStLq8nP3YkgxbmHsEYcv\njEKwjCMGIcWsdud1wq9zBFU0nG8r9IdjTP0GoIJjaQ5Jk+Yy0Qv7yQmhaWuue/k13Hf3A5xpZtx+\n7xE268j3f9+LuHwCOyuovGW8vJuU1lhxwonO8bFP3s6jx07x+h99I29621toZqvYapGIMJ5M+NwX\nP89GPUOMpe5q2tBjhOez5q2sc74tMx/zm/KFJLjv9vOnY1nPx3xS0T9mfsO3JJKE3BJxzGrhn+4/\ny/1HvsJn77iX3Xt2sbh7icv27+Due77DfQ8eYzYTClRd1JitYb8ItG1EomVzeg4yljvKFFamiPWq\nNime0EIyvYuWvr/eDP7C6AfGSvlIlEWJsdBlOd7x0gKV86ycPcdKVNLb3r27ePHLrqPrGk4feZQH\n1zf42zse4HVXv4gX7agYOc9q21F5i8MhJIKJ+MzocqXCVUMQyqpClV8VLae+ospiPq8aEiUkCdA2\nnc40rM6iRCQb+VhWV1fZubRMQIjZgNw5D3luAlHh1lFNx43Rg805Q9vGYR4losbn3vsMLDDgLK5w\nuB59Q8rVXqT0YIqSWa3Chb5whJTUaJyE2I42JmCsZMnxAs3GOocXCx5badhM5TNac31cso0dtnqY\nAF23pR0+bBR6T84hEDSLldy60Z9rOZoiGKvl4/nD2C2yUEqJ0quFmvWG0ydPka65CuMKRuOxuhfl\nBd7LfapHsVKMo4ArPDnhUdq58Zm2XxOj0qKMcXhXEKJkar4y/8qioK4b/KignbZsbE5JbPXDVbkx\n0YU0fLY+w7DWUpUlRV68Oleost+rftYQwkCcUiRM1llPUGfyUVlp2yaGjhQCZaGD5n4zNEZlGzbX\nZrm3nGF/QJIwoJjaLqtdsgXt27rmlvF4gcsuO8TauZqHH3yQMAt8+Tv38+j6afYsLrBrcUJX1+yr\nCiyJDRx33PMYG6uO0ajklte8ElclkoyQrtXWlFi+/cDDtMnSxkgbld+AWHrjYEW8zBmi50UkF+zF\nPVrhQvOQ4XEX2bz7TbA/3C4WF0odD5pIFz08sil7ihgszlSErmV11rK2NuOxk+cYjUd00jKbBmKy\nSLKKwDEFkj+rPpUS6NpOiMlQFCXTOgykumg08fBWK1FBNX/6ZEk38K3kRXJbShFeNrcaPSKK7umR\nTSl0zGYzRCIhJDY2E/qPcPCy/bz4+ltoNo7x0LnT7Hh0jerQhL1LWkH2ZjJCp+Q6ox4NYg3WOMYL\nBZ0oOx1ndCUaySxMTfosLicZdkj+ilLbL85XJG8JbYvJkgSTyUR77V3AlwXGOJquw0oPt3ZZTkB9\nFKy1+EJ9I0YjZVzH2OX2sbaGUr7PZFhrCV+oGYvOjgTrPMZExqX26VPXMBqNSaJ6MFEShQETOwrr\nqdsZi6OSl+4b8Y0Tm7Q8u4392aHev4fR3ySqteLxfkRKlpQXr7Wl2nblja3/0galwuHEhnqm0pmG\nLOHrCrwvBvErNWRWhmqMCVUicKytrSNi8LYgdEJTq7NMDNqbnvdg7Z2EvNfWS11nJx5jmG7WSH7f\nBk/oJFtaaVZkreLs27bO0Dwoygmb0w6sslxHvsAbS+nVC3R9fV37hblC6Q+clMWlFD+r6JXZbMa8\nCTgoWoZkcK4gRVXP7EvtsirzhqLtLoVv+kESuDfJhq0Mdb5cHzKW+eHi3EEqwTFbb3jsyFFOH3+C\n6fqM0CRmneHYmU0ePHWOB0+e5WwdWBqX/Jsf+QnObliOnt7kdN3SdY6VlScIYUO1zgtPFMcDDz7K\nQ0eOMa0Ts9aQUOhqQgegF27S/Tr7bn/69/xMo78uz6aFM5/AnP/mPOQ+fzIo0WVxieQLWoG6EUJr\n2VxPhNYRaogh0SVt98WoqKQYhRiEGCCgEsehjZjo8NErogk3V1mdn/T0m/aFh5JGhuL27bY8MxKj\nldm0nhFiVKGquqOZtYRZYOXUCkfufYiTjz5OSCXV0uVMqdh76DKKiTBZMlQToRxDNXZMFkf4sSe6\nBIUQXKBJDV1sMc4yqxs92KQ8b+0N79JZlVZwliQgxtIF1bTxRZF9SHUgHHMrMcZIEK1cJSmkuOt0\nHqZG027Yd4RIXdcUhdXE0AGk3IZVY3sQYuzyvd4QQ6vIolgTuhltO8WYRCJk7agpbdcQQ6AwesgV\nFiTWGDpCM2PXOOFNS3rmSxS4lHDH3AdPScdwkhiw5/1mlrKeSlkWQ9loDCru09b0vXVBsH2GZFxG\nq7hh4fbiV6p5orZZ3hVMN2esrW6wtLBI086oRmMkSf5iBV+qel9RONpWMerKIFMjagNYo7C5IqNk\nDCaXjwmcwixDdjLXhegR45jVDW2IFOVYdW1ESEHFugrvwRl6k5GiLHBWp+h+rEQSDMxmNUKiKPzw\nWfub13tPsC1t01KNlWbtSkdotYTuS0qMsLS8TD2b4bOCnjV2bvNTKzhrFfWxuLhA23aE3Mrpr6tG\nbldYx9rqJl/47BcoXUXoAqtdgzeW5R2WxWLEBLjqwB5ee/2LefC+e7n77m8z7Tps4QjBceTIEZwz\nukH5AtyIf/zaN9iYtrStEKIKGopo79f13rlCzpwAY3M7z2S/zP5X8qYuz25Th6021TMOUZEyxGwN\n6IyKvyG96THKmkSQUkW+bEiUxrO5OQVRIIHtIZYGsogyZqinstFHzl7F9OidPG9BNZMEyWZcdsi+\n+zBGEUWy1dfSxzqbIXkpz61gNB7jyoK6a5lOp4zKiq5VAo8kIbSBwlo2Vs9RNyA7JxysxpxaWeW6\nF+/ASYONQSW3M0IFq8bsYpTtXIwriqDvezJZyFVjhgHPXeCYIr7I1bspEISiKjVTz/3t8XhM6FQD\nCrTitc5js5ObRKtyAVl+xPsCaxMiypkxRj2Iydj9NFfpWAzSG9Hn96f6VSoz4ZxTE26r965+++qA\nZazFmJIQlFQVxFBVY23lOMNiCft3L/HEyrNbp5csY8crKcSgfoR9VqpZdczZYYX3Y0LHoCETQoAy\nD0yDwdmSyFZGmbLMbAjdsOHEGIfnDKLtmtB02KQiWZ2IUnzRDbYoCnxZZB/RgLUlValsUIdXnK4v\nKZyFFBmNLV2cUlQQpaYLmxir2tlJEr4oScYQrSEa8GKoyoIuNlSFwWRbOl9YxuMSXxmcTagroJBE\nGJWVIolEYX/1rCZJR4gtXWiHqiaElFltqp8zWhjTRW2bpDDnkuQc44UFqqrEmoLJZKcuRFTDpt/w\nBtOTDGmscravWfxWv1kPFi2XY1Iz7sIuINFhXEmUghAtZ9Za7nv4FA+dWMHt2MtJt4M//vQXObbZ\nIdEjrTDrphx95CQSFrCMCNExrRNfvP0f2dhUdUZReUOcKEJJ0UcqtoXxJFGnKM0sI8nI8Ke3GYSt\njH4+vttm/7SbupjhjzIidUP31mGiobQF3qheuDH9mjQs791PsAVNTLR5+L62sUYblambTCKaSMxr\nVL2iUv5MqnNk8sEeDYh3dKWlKdDZT1IYrM0oF4Wz2sxB0O/S5ves/AZ17zHWkUwimABevXir0Rjy\nhlbZgspXWOOw1uEKTxsDs9jQEIhVJFrPo4+d4av3PMJH/u5u7j5qacw+AhXYEa5YJGJJZgSmxOHx\nYumaNl9HdCpuBjLB1jBalAcTQ6NZtOmwXmi7zcFNyXuPESiLMuPftQKPInQhKZ4932tkMllKWtmL\nmIwUE0JsCKHOLZpsxC7ZHc26LN4X9fALhthMh3Zo2yZiruK9s5Qu24J2iRg6zp0+jreQrGXWBWwU\nTJqxEGccXvSYdu2Z7qzApYQ7YkhDm8PnjGKrRO66DiThrGp/G2NxtqBtc6blLK1ERtZD3GrtzPdB\nRWTAmm8RCXSC7r1mAo88+igvuepKynKEUW8JQopZLsBicITYqSypr6ibGcZYgqgvYVEUOdsv6boW\nXziapkbI6J1UqO5Npcy2dtoRky7YZlazuKjuS8456Mitp56yrLME75QQIgaqMi/IGFTRLpfQzrkB\n1mXMFhKj67ohOx+NxpmBW24hj4wQOoPDUk1GkNE1s6w9AxlDnyLVqNr6bmDQylc9ffVq9C6X90kU\nHphJUCKJZCOSDE0yPHZig4/89ef4T7LEmQ2hTSMgUJiOEDynz6zSNgnrJ5Sjim/f8xCPHTtBiOoR\nmTB6kwvogHdrviF5CPfMmyVPH33m+2xaMH2YJDgfkSoQrWMy2UFKlnp9DeOgGpXYUYkrDMwaRmXJ\nxsqawn3nXh8YWm4X+t4O4AKroIHEFqM4Gu3xhpQBCd5jozpfJZUZzYeRJYWIyazSJMP5R1EUFKVX\ndFVZDLK3dd3kd2EpS5dnPhFBW6BrG4mi7AgpcqaGcMrypx/9J37oliv4wZsvY99E8LKJyBQp9kM3\nw6YOk6DADN+jiCj13m0plxprh8xUMjolpUw0ciVdbl/2HI8YEm0MJPRGL4qCJIoOIs/qlOCojNXU\nBQTJ98yWIuTwvRpDz3uwVrH13jkktQhZJphEylW/iMETSCmqJLGpVOM9BXbuXiRKp+qSvlTP3G/b\nGBIAACAASURBVDClaCuu2LXMjmILyvxM4tK1YvJm1DQNo8nkvL7ZFoogkVKnPhK5mO5pvMZ76q5V\n3ZMkCr1Oak/XdV3uhZvz+vHWWrrU4YJoNVB4zp5dVXlSm7Ukuk4PEu8URy4o/Ml4mq7DF+WgEbGx\nsQFZx7luGkXnOId1ykIrCkX6WGsJTavll9Pe+GaGKTZ1zaiyhKDa6iEkyuyIFGI/4FLRLm8sMQbt\nkTeCyVlYO5hZe13QeTPvpQ98RsFYoyVtGghRmvl5N1ImKpKhXxldlEtKQbUyFhYWhnlFn9UuLI4w\nBmabDX5k8ZnkozIJnrpucb6kS2aAIhrjabrE6ZWOKKdAFC9fGIdLDkaGs+fWaDphx9IOZrOGj3zk\nrzj22ClmszZnm/mAJ8Mbk2Cdy6xBHfpdOLTs47ttzn0bsP/v/vcv/NlTDVf79s55/XsrhMKy64qD\nvOp1r6cqdrB35z6+9bW7+Oo/fpHlXTuY1lNwDhsTGxsbpPBkeOb8QHYejjjAL+3WMFZAWyjOEaMS\n83QQWGhLsQ2qi5I3SoX2OqTr1DLOeRYmE5KodLX2QJ1KAVvN5K0xiDR4Xw7tPGthNtvMcGGLJ9FO\nV7EEKEasbSZCZ/nbOx7h7keO8vqbX8ot37eXxZHHh7NYnysRW5GoKKNKRuuGp6zOFPNAf44s531B\nF1QITNnlgmPL/MZYSzswwPU6NXWnsgjeD7pSipzT6Dd+jTRk7ikpam4L9qpnY0odITSUmTdjxRCj\nKDDEKT+kMGoQkoColld4KxiXrfqMA4lUZUVtPKOiZGchLJT/SpinhS9oZjOFZA2tFz/gqIfSPqFT\nZetIQfu6SRJR8hBJ0pNu4D6DhfNLbe0XmiGbCSERCXRdpFqcYGLCloY2dKS61gWfDxQnmkGLUfOF\nWaNiW6qXMcqoHY+IbpjjyTIpCd70mjH6GUKnu9GsmRFToppUhEaHLIV1zLqgBKTJAtPpFOsNRTGn\n1e4sTWgwToWvCvKNLHnjsZLJGO0gfTAoaJJHYValE/oqhqyPYUvPcrHM6rmGniatWaDkAbAOkLqu\n05sMy9KOEYV3HDiwzObaKjt3LHHZvj3Um1POnV1nfbNms+4wXUSiMkz1+xM6LM4kvUnEgS0IONrY\nIdYyawOL4vjK17/J33/+dmZ1S0zKok2JAVtNHhjqJTBDf/ifk7HPr5c+GejXzvz6ejZhTcCPlnnD\nT/073NIuLr/sMmZr61z/+tdzfPUUK6ceZ7q2zqgYU6+vE8OWucn88Pq7vkZ+nyl/fJNN3GNK2ss1\nJgMAJPePHTE6QlS2cdsEkliqwlMkZVAa7yisxyYzQPSMVVhfUZZ456nrjuXlZRYXl7IhRY8Q0XUX\nafWeiI6mDkhqCc7SxpLpE4Hjn3uAf7rvBK95+ZXccGiB0tVUI0PoBFt4jES6GPBOqxBjjMJ1M49j\n4BUYMhomIVarXut1FtaFgAVGo5HeKxnGq8gWXfsxRRXpo5eQEJouMhqVmRHfG+aYoS0kPQnOKBvW\nGr1+6vymm3tsGwUyDItHZxQJdXKKTYMvR5iosiFYaLqZwjqdJ2yus2PnAvuWn92au2Qbu2qsFIS8\n6Tw5Wycb2arON2yhC5y1tNLRtFv6EP1z+mxZ1+uVz+ukp5RUupstdbamC6yurbEwmejQo9DFbyx4\n65HUkkJLG4XCWaLpSRAerMN5T+WclqSiX7I1JiNklFwEFu+1RLSuACM473TOIInKZeNt0azEJ/Wq\nrLKbi5p6aGuozeqS1qvJs7RhyDLG43HmB8BotEDTNEMbZjabbRlme9VV11ZVTdumTMVOrK6t0TQq\nmxBDxFtdIjEENjY2MiegoCdATRZK3vbWW5lurPHlf/gi/+G/eQ9v+q9eR1c33P4PX+GvP/pxHjl2\nktXNGdP1mrZtCJK0VQMkWQIbSSYSnRCkZcFZvHcs79hB3bb833/6p6ycW6PNmPxexEvymuj7rYPU\nLgy49vPHuk8fF4M/wpOz/2ezufsYWPRjnCzh7S7+8Ut3MfbCnpdeyWTvbk4ePcLYlzRrm+fNhvr4\nbvDK/r303ILh/rGGSTZfkSiaCeYNKwzaSGFQ/1TGpjJiRwsTKhT1ErqO0ajCFwVlVdCGTq0nQ0CS\nVg1PPHGazU11+AJtvZWlykc3zpFiQag7bFFQjKBONb4YsdJZklng7kcaHnr0Ll52+Q5+6PtfzNWH\nRiy4gKkFySg/ybDjHnqJ1QTNepevEXRtl/2HE74qaZqGcaVyAyEmytIQYqTIbkQWT9vVwzWchxZb\naynHFZJJTP3+0etPgWwhhfJ/W+eIIQ9b2YIfg9BFUTRdp6tTW726p/R6RIaEuIAHJNSUxlFZR9Od\n4yX7djzj9QaXGMceUcnU0LbD5t4LfWk4ou622ga0QN8TayIxdTqgNAaJNePxmP7E7U/jLYRNzmgT\nSBTwKrpVGFh54gyXXXYA66ENNV4sdILxiRQTZV4IxhhKP9bep01Z1yEym5nBnKLHwHvv6EIL1tKF\nAKYgBMEVOpDdrBtMsFRmNGTQbQKDo3K9kQY4r6Vz5QskRMqiwqt6vHaBCp+t+bSvXXjd5PXjKo3a\ne894vECMqurYtu3QrkmpxJpG2wVNIgVDiA1NdszR59KNpXJOTTcMGGcQAgvFmMv27eH+s8fZv3eR\nH/6hV2HahMwCb/ih13Hz9dfyrQfu4+777uXTf/+PHD12AukKTCN6+GUEBMZiUmLBemLRsbzrAFWx\nkz/7fz7MXV/9Bpurm0gQpZxnIolgiNkXUoEiObseRLu0QavV9FNnvPOZ8ZPaKDBUPFul93fZZPMQ\nbutXBDGOum0xNrLvwC4eOzli74E9HH/gHk4/cgwTVHytSW0v13LRCmH+tXt4nnIqMsRPwCZwGQve\nJYUl4tTXt+s6vFMfW+ssKQqYki7pPVZ4r+JUhcOVSpzb2NygmmhF2qRINZnoprcwBgFX+2wmoYex\nLUqKRVUV1YFxS93NKAqULGQndE1Du2G0bWgCG0VB7So+/8gq3zx1J9+3v+DHbnkJ17/kAN4nnFP6\nv7cVUuTWUysqfC4GiWpL57xm1DYfVsYZ2tioiJ6xGO8ghuy8ZmljwtpSN+BKq76YUm7lWUJsh+te\n1zWTyYQQE0WGGhvIeP4EIQ9wvdUDrwOLIcWQl2XC4Cl874YkAyEzofZ3ySjyyftC719XMU2BSTfj\nmqUDT7nmLhaXrhVTFEP22A85+6yrz0C70ELu1YVGM3BMHpQ5OwxU7Fy/ERhOXu2JbW1MCmNS38P+\n96qq4uzZs0N2XhQlkjNDwVNWjpAaIA3ZAUY9VZ1XhEOTFScVlaIDG+33abrRH1oJMDkj6GGEOmDN\nmH6v7NIuhlzO6mv1n8flsjLJFnqnHBdsTNXfdHl5eahURBTy2TQ1oKQLYMD2gyKCjNEsxllLl/HI\nxqgNXu/dSQ+zS7qYx+NxZpcq1G3Prt0sTCa84uab2bd/HzKdgulwTji4fzdwFZPSY7H8l89+gUeP\nPUHnXJZFVxywsho93sDYjti1Zy/nppv81d/+LdPVDb0GovLDWz3vi4O6bE7ZtQYhQ+i++3rsM/X5\nHnq/np4VvPGC5zTG0FHQ1DM+93cf5ZXNGV68/zJWzpzh3m/8E2E6pZvVpKbBYwYo5oWHx8UOHckH\nWkg6NC1HpSYrWeuoKArEqia7LwrdtPsK1/Qyb0q6s9bqkN4p+SuFoNLPkwmjUakQ46By0AIQhfF4\nxMxtUC2NGVUlCCrA5x3OQOksUewgMrel5Z80KROD9yUhWVIytFIRa8/qkSnfefzbXPeSTX7wlt3c\neN0BfKhx0WJbQVzKw+Dc2zaewngQrSJMAJIhtgmhyP6jQuw6Sl8iOakTwBhhsjgm1glXeDBqjD5r\npriixHllkpbeEY0Ke6UoWv2g8GpnHOJbYgp6IIjotZVCN3qnXgoRA0bbVVpZRNrQYkyJcUvKVM8S\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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above picture is of Monty Python (Python's namesake). Below we select a portion of the image to which we will apply the 2-D DCT. Let's just look at values from one tiny 8 x 8 block (which is what's used JPEG compression). Then, we use a false color spectrum to visualize the pixel intensity." ] }, { "cell_type": "code", "collapsed": false, "input": [ "img.shape\n", "b = img[50:58, 50:58, 0]\n", "def show_image(img):\n", " plt.imshow(img)\n", " plt.colorbar()\n", "\n", "show_image(b)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Of7Ygp7QTqbM/ghRonE3MXgd/laHXVZjp8XFBL5dmimwVVyHIKCNKmIUeiKmq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\nJse8zEA2k5nM5JiX/x9Yw9mrTFmTTQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 73 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we display the actual values in $b$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "b" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 74, "text": [ "array([[ 0.157, 0.161, 0.165, 0.165, 0.157, 0.153, 0.157, 0.145],\n", " [ 0.165, 0.161, 0.165, 0.165, 0.161, 0.161, 0.157, 0.133],\n", " [ 0.161, 0.153, 0.149, 0.149, 0.149, 0.153, 0.161, 0.133],\n", " [ 0.165, 0.157, 0.149, 0.145, 0.145, 0.153, 0.169, 0.145],\n", " [ 0.169, 0.161, 0.149, 0.149, 0.149, 0.157, 0.173, 0.157],\n", " [ 0.157, 0.149, 0.141, 0.141, 0.141, 0.149, 0.165, 0.157],\n", " [ 0.165, 0.157, 0.141, 0.137, 0.133, 0.141, 0.153, 0.161],\n", " [ 0.153, 0.153, 0.153, 0.153, 0.145, 0.145, 0.153, 0.161]], dtype=float32)" ] } ], "prompt_number": 74 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 2-D DCT is just the 1-D DCT applied to every column first and then applied to every row. Write a function to compute the 2-D DCT. Compute the 2-D dct of $b$ and display it as an array of numbers as well as using the false color spectrum to visualize as above." ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\" your Code for computing 2-D DCT goes here\"\"\"\n", "\n", "\"\"\" your Code for viualizing\"\"\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 92, "text": [ "' your Code for viualizing'" ] } ], "prompt_number": 92 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, write a function to undo the 2-D DCT, that is write a function to compute the inverse of the 2-D DCT. Print out the values of the inverse of the 2-D dct applied to $b$ and use the false color spectrum visualization technique to view the result. Compare to show_image(b)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\" Your code goes here\"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 93, "text": [ "' Your code goes here'" ] } ], "prompt_number": 93 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Question 5:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply the built in scipy functions dct and idct to the image $b$ and compare what you have done above using the show_image function. You should get the same images. Note that the scipy function dct does the 1-D DCT. So, you must figure out how to use it to do the 2-D DCT." ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"Your code for computing the 2-D dct using dct() and for plotting it using show_image\"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 95, "text": [ "'Your code for computing the 2-D dct using dct() and for plotting it using show_image'" ] } ], "prompt_number": 95 }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"Your code for computing the inverse 2-D dct using idct() and for plotting it using show_image\"\"\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 94, "text": [ "'Your code for computing the inverse 2-D dct using idct() and for plotting it using show_image'" ] } ], "prompt_number": 94 } ], "metadata": {} } ] }