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@vietjtnguyen
Last active December 26, 2015 22:49
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib as mp\n",
"import scipy as sp\n",
"import scipy.ndimage as nd\n",
"import scipy.signal as sg\n",
"import itertools, pickle, random, os, sys"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"num_of_samples = 178\n",
"num_of_landmarks = 87\n",
"image_length = 256*256\n",
"image_shape = (256, 256)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"images = np.zeros((num_of_samples, image_length))\n",
"for i in range(num_of_samples):\n",
" images[i, :] = nd.imread('part1/images/{:03d}.bmp'.format(i), flatten=True).flat"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"images"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"array([[ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" ..., \n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.],\n",
" [ 0., 0., 0., ..., 0., 0., 0.]])"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"images.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"(178, 65536)"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(images[0].reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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KpDVPYf+45ZptI1glAPlvxjBKLIFCUEpKnnWxP5lmzflyMNK0PsdFUsUgElzYptK9Mpy/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\n",
"text": [
"<matplotlib.figure.Figure at 0x2c894d0>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"landmarks = np.zeros((num_of_samples, num_of_landmarks, 2))\n",
"for i in range(num_of_samples):\n",
" landmarks[i] = np.load('part1/landmarks/{:03d}.npy'.format(i))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"landmarks"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"array([[[ 101.59939 , 53.842252],\n",
" [ 94.140353, 49.165299],\n",
" [ 83.632501, 45.938663],\n",
" ..., \n",
" [ 225.917294, 106.118561],\n",
" [ 232.459478, 80.574088],\n",
" [ 231.424078, 56.391021]],\n",
"\n",
" [[ 100.518711, 54.951857],\n",
" [ 92.923722, 48.888798],\n",
" [ 79.260944, 45.867519],\n",
" ..., \n",
" [ 241.721787, 106.408215],\n",
" [ 243.21429 , 82.122861],\n",
" [ 243.187479, 56.321348]],\n",
"\n",
" [[ 98.106997, 52.904831],\n",
" [ 90.530035, 46.791621],\n",
" [ 78.379185, 43.700379],\n",
" ..., \n",
" [ 236.264659, 102.131692],\n",
" [ 237.885851, 77.8111 ],\n",
" [ 237.986613, 53.48421 ]],\n",
"\n",
" ..., \n",
" [[ 97.372767, 56.194141],\n",
" [ 88.285475, 50.141983],\n",
" [ 76.171407, 47.119387],\n",
" ..., \n",
" [ 235.178825, 109.123709],\n",
" [ 236.680372, 81.869493],\n",
" [ 230.612193, 56.132845]],\n",
"\n",
" [[ 101.540569, 55.82855 ],\n",
" [ 92.50731 , 49.857489],\n",
" [ 80.482623, 46.901446],\n",
" ..., \n",
" [ 233.888795, 107.865971],\n",
" [ 235.284251, 80.831067],\n",
" [ 236.685605, 55.297773]],\n",
"\n",
" [[ 98.66944 , 59.456661],\n",
" [ 88.102981, 49.002541],\n",
" [ 76.075173, 46.063796],\n",
" ..., \n",
" [ 232.557037, 106.78954 ],\n",
" [ 235.407516, 78.245563],\n",
" [ 230.766694, 52.744647]]])"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"landmarks.shape # first index is image number, second index is landmark number, third index is component (x or y)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"(178, 87, 2)"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(images[0].reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.scatter(landmarks[0][:, 0], landmarks[0][:, 1], c='r', marker='+')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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uLBoxwmfS3116KX59wQV4duFCXHnFFQCATFMTDh8+jLq6uoDJH4lEsGDoUMRi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\n",
"text": [
"<matplotlib.figure.Figure at 0x37cd5d0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"training_images = images[:150]\n",
"training_landmarks = landmarks[:150]\n",
"test_images = images[150:]\n",
"test_landmarks = landmarks[150:]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mean_training_image = np.mean(training_images, axis=0)\n",
"plt.imshow(mean_training_image.reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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dCFwYGFRdLIcMJDi4RCMc23BcWamGwDhUp/eGws7lTEFdKyWKRmHOh6fHLEGN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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x38b9250>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mean_training_landmark = np.mean(training_landmarks, axis=0)\n",
"plt.imshow(mean_training_image.reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.autoscale(False)\n",
"plt.scatter(mean_training_landmark[:, 0], mean_training_landmark[:, 1], c='r', marker='+')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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nSW2V4xtvv427Bw0y1TbL5xAi7lHk3rKZuVGEeVnQhIGy2Sxu79cv8m7zNFjN\nvJaJI/GIsMoM0IfHjo2GuxoaGqL8aucexycCAmzr0XUZD1uxIlok5PkcQu2l661QKGDUvHlYPGlS\nUZyW74Kfc+8sgCt1IZPaKisrUVpaGs0oFI8+9+7a5JL42HfF/qsHhg5FWVlZ1NZSrxIHj/CwCZM0\nuhIa3mRQZ4e75icNOMzfwl9tTdvlc9h7770BAJ/73Odw3HHHYdWqVejVqxfee+89AMC7776Lnj17\ntihOXYGWAJ33wQdYvXXl4cJFizBn7lx89fnnTXvbMkH44DQ4XUvVtrzsDAxFPdGQIUV7J3Dvy9qC\nFgjp0QUYZKu75VOnmkO3liCw2qoZi6lQKODwlSsTnYG6jeRbK2yhUMCYBQuKwsi3nK+Q7Sz+FtYc\nH5s0KZoNy4fWckJ+C3YAyvcPjR5dpC3p+k3y13j1l9SBaf+D5PH0114LOtv187akVoOD7H0HANXV\n1Vi4cCGGDBmCGTNm4NatO/LceuutmDlz5nZnkisjk8ngqp49I+/+EYcfjuNmzsT9Q4fGwEB/4zkq\ndeXqBvZ6hUwmg7PffjvGbDydW9RySzW3BEOIna68mMyaGi5pC9PruLiMeqhXwn75n//EFVdeCWDL\nb+d/cdFFmLBoEQB7PQQ/5zTk2f733ovTTj8d53zzmwCAn/33f2PKVh+UhE+qAwZeq6d/fNq0IjOT\n61nHawmdBgauYwsgSktLcdKLL7qjWrq+PN5NEnRpK2mvU199tWjeDserr9uSWm1WvP/++zjuuOMA\nbPG0n3rqqZg+fTpGjhyJWbNm4cYbb0TfrUOZacnrOXQlyvUtX/hCkQZgAYSuPAYBGSuWMxOHYRJV\n7htvv43btpoO2gbNZrfNGNQgw+mxYLEtzIzLoMB51qql0Mw1a7asqwBi9cNlEnpw5EgsGDsWV1x5\nJS684IJtabbQ0SXleO4rX8HTM2agrq4O53zzm7jk4otRW1uLTF1dLB8CEvyt1P9xa9figWHDojBe\nj6sFnTdmtcjSGhjIZTKT7khkr81ZL7wQ64Q0X3HHETo0bzGvSPr8i72ly5bhur33xh/32CP2fXtp\nDEKtBocvfvGLWKM2FQGAz3zmM3jkkUe2K1NCHijI8ZcvfQndAmZCaLiHGZIbxlLP+Zsz33gDZ7zx\nRvTssSVLcHu/frh3//1juzjrefiseYjNqklsa+kRpScTH4aQZdNyGWauXYuHRo8uqjdJ21LzHx47\nNhYn2+5diYvHAAAgAElEQVT6OtRe3nM9eiS9ubyX/GezWcxcuxZzhg+Pfae1ORYkXqwk9Sp/1JK6\nAYrBgQFChgytvM9csybaQOeuu+/GA0OH4sGRI4t6dM9M9Top+Zb9DnK/YOxY3HfAAbjxppsw7bDD\nsHnzZpRs/aGyzLXQwMIdTVtQh5ohyb2HV8F6REBXutUYnlNSO8m4orVKKsJx18CBuGPAAADAwwsX\n4uijjtrCcORHkG+PXb0ac4YPjxxGDA7sPON0WF0WBxxrH+wY1doC7wB13fXXY/7o0Vg0YULkCLW0\nDbleOH48cihWlaWerLOn6Qk9ecQRsfYSwCwUCjFPPrBFcI/5179w1FNPASheKQsgGkHKZDKYsvUX\nf1rbkvplYZH88miDtfnwYStWYPGkSbFJRplMBgvGjsW8UaNw3fXX45yzz0Ymk0GO1H/Ll6VNBeYp\nrkMt3NpHdO/gwTE/laQpWhLzfFsCA9DBwMEibQ5ojSB0tjQHrZbJmLE8k/AMCBo8pFHuHDAgNkmF\nVWAA0Vbkwrx6CFOPdmhw4N5MQGHykiXRDtXMYPNGjdqyTiSbxTXXXovvnXdexEhCrDVoFdgiDyg0\nE1pMmc1m8dTRRyNbWxvrYXU7cq/5yMEH4+Fx43D5n/6Ec7/97W1hsW0oVuI4ZMkSPDpxYgQ0Iuxc\nJ1zn8kzqhPf8kDY/dPlyLJ40CQCiemc+mD96NCorK6O4tC/E8mdpPmRe5rJLOfSEpweGDUPppk2p\nTJVdWnNIazt5FeQhNauy8j0LPfsUpJF0WjIUyWP0fxsyBDnDrNHCJ0zJPRiDzCkvv4y7Bw0qsod5\n+rSoyYcuX455o0bFgIaZI5vNYsGYMTHnJxDfjyJUhy0BCq9ttNbF2peUR4M1h3t47NhI0DUwsTnG\n059lREPaWdYjfPX556PfEEj8PCwqgC7pcC/Oc0UymQyWTJ6MSsTBjedgcA+vHaIaHNjE0z4k7TjW\n2rIGoaS2ay11qA1mtT1mTdKRXZ9kd2m9+1Oa1ZkMDtpZyGq7qLF6+q+2ezUwHbt6dUzFnzt8OGYf\neGDRpBWhe+69F6eeckqs19DrRg5bsQLTnngi+mbBmDGRup2mp9JDsVznnqOOfzrsTe4RkjqRSWMy\n6auuri6aehyaACVx6DZhh3Amk8Hh//hHbEPaRyZMwKIJE9w/ct98yy047Wtfi7UT1/HRTz0Vi0/i\nXDxpUlG9cl3rd8xvrAF49QVsWzTGU+t5All1dTU2btyIjRs34uOPP0ZVVVXsT1m8xofLnCTSqZ3M\nHR0ctPNIg0P37t2L/m6lwYF7M8sWteY06Om+ekxbC5g+ZzIZ3HDjjfjmOedEaTCwAFu88rIbFbBl\nbwn5eY6eOSl5/c1vf4sf/uAHsQa2QIHNJ2tsnn0QegKOBQ565avVE0oaMotUGJ3BQa8ZsQBC51uP\nQGSzWfzvb36DC3760+h73U6H/+Mfkf+C6/ch2ixY9/KXXnYZ/vtnPyvSCkI9tdaQdC8vceiyCv8x\nmDGoCjh89NFH2LRpEzZu3BjtTC27VPNCPq/jsSityHcos4LJs6m0TacbyfrGa1A2LeQZe4DZK2yB\nBGDb4BKfbCTDeedec/6YMXh43Dhcc+21OO+730U2m0WZYR4JFQoFLBw3LtYLabVVO71Y2HSP7dUx\nk+eY5Lh0HUgcLChSl1qN53zoNDSYMy1Sf8JmYSwUCnjskEPw6MSJ+N3vf4/vf+970XflquzMM48e\nfHDRvBFPA7X4zjJrrc6JtSMJI2aGjsMyMXSd6XZqK+qQ4KAZlhkFKN4NKQQY3jNOR67Z8SgNyHYh\nT4HWK/As4Zg/Zow7y4yZhn0ESeV/5OCDY1u3a+ZkhrFmPGoQ0AwnpIHFIws8OG88SsHOUT13RIMN\n58+Kf/GkScgqILPyv3DcuMgXocPyUVJSgmWHHopS1eOzULKTMg2PsYBb4Ks7Jf2tBy4aGHS8bUUd\nEhyEvB6OGZrfW9/pMFpz0CQNxeAgmoJ1bQmR1wvrfEh6iydNQhkJttV7W+Bjxcf5sL716tWyifl7\nKbMHNlY9ajVb75jE2pfOnwYIa5Iap6XzInleMnkySgPlt8wA68zahKVF6Pq0QIPDcH1qMyuJf/me\n20ietZUW0eHBQVdukpZgIarVYPJOSDQCZkoeEdDagnaaAbb2oMnTeiwHn47Tqh+v7Lpn9upGaxuc\nflqNIZQ/Fj6uK1nizMKhv7Xy7pkjVgeRVAbdQ7MfwvIfWGo/px3qjLTAC+BZ33uAs6OpQ4KDVzka\nGDSCeyhtxcFpCXk9NI9OyDX3oPrQ8eoycR50niU9ffYEyGMc7n05rSQtQpMO7wmb9VziFGAQAOb3\nrBEkgVEo77oMHKcnWMxHkk8PCKzZkEngEDrr/FrfWWVJ0wG1FXVIcAB8wfbUOauxkuLns1zrymdt\ngtVq7gUt7cFKXzuTPMbRYOMxkX7GeeeeyTIHdDwec1sUEjgdJwsX140Ag4z6hNZE6LJZ+UvT21r3\nljPRWrTlmRNWO+r0PPD2tAUrjNc+7eGIFOpw4JBUSR5AbG9aVmVr7zwLlwYEzwwI9RSegDNIedqI\n9Z3WNBgg0tSBFa9OQ6eVRCGA4DxyXnUd6OukciQJFD/T4CAahGdGeCaFlTcvr5ZplIafvfftBRAd\nBhySekYNEEkVmrZn47CesFpqvmgBrElwGGHotEzK6VlpJ5WJwcsTulBdJMXfErLajWedisYgbWmZ\naVwurstQemm1ByuMBQaWGdESzcECN+/ey6NXrxz/Lg8OmpIqJ6mX8OKw4gz1nFqjsIS3UIhPuU4q\nT5p8hZycFjPw3AsGBtZ00uTPA8i0+eX4NEDyUK2c2eHrAbGVV6+dPGG1ri3nsAw7emZEyNfAaWgw\n47poidaVBDztSR0CHEJCzRXkVYhVcSIcSWGtdEJphBxyafOXtodOcv5ZmozlZxDyACKTyeDQZcuw\ndMqU1HlIQ5lMBsMeeABrZs6MAEvv4cAz+jzg9XpZvua2bo0Wajm2Qz4Gr0Py8pCWQp1iW2l2aalD\ngIMmEW7ujUOM0hIG1qp+CJ2txvBs37TAkPRcx+Vdyz0LFvfWPMzKTG85/jKZLSsSlx16qFu2NM5C\nS8iHzZ6NtVs3BWKAkDhZu9HlCWkSlnBaAOEBg46jNaDQEg1Q0mONIqTZ6DztDA2iQ4IDkzC6nPX2\n5l4P01JKUkslL5Y2kjZu716TVRYLJCwHJBBfWajVWE770GXLMHXFiuj+FxddhKWTJ2PlEUcE82aV\nR+fpgPvuw5D77wcAnH7GGVg7c2akQXi+Be9sgYSkG2q3JIDg93p4Oc2wuK5PiywzIqQJabPFSsPr\nFNsaKDo0OHiC39TUhFNfeQX3Dx0aBAerZ/WoNZpEUqOFGCjUwJqhrJ6eyyPX2tuvy6Xz9ejEiVum\nIWez+OWvfoWLfvGLLYvdnDy3hPme+8pX8Mzxx+PUr30Nf/3LX7Z8W4gPyyaBIN97bRwCgpYAhwim\nPPOGnfUEujTag1WuNADj+V12hL8B6GDgkIZppJc8/fXX8bchQ0ztwRO4pHRDz6x7Ty0MPdPvQuXU\nz+TaA4aQyquFUj97bOsmJ21Nz2w1Kbz68cw0pjQaogcEScAAFE9E8zqKNHElmV9JmoRV7uPWrsXN\nX/iCO3yeJq7W0E4Hh7TIC2wp+Lfeew/n/vvfAIA5c+fi3sGDMW/rvxC9b9Lmw+slOJ9JIJAEGPzO\nYpa0oCFnawou5z/0PwPO35LJk1FigMr2kvgbPIBuSQ+cFiDk2hJu7zopnNYYvLzztQV8HkDo8vEq\n4BOeew439Oljbh3QFia1RzsdHKxekIkrsrm5GVf17Imbv/AFPPXPf2LGMcds2VLciTcJZSV+vk5S\nH1uqLaQFCM53KB7WHMQHwlqDLodch8rv1YGnhbSErDJa5RKyhFAorQbhaU2eZhXSCkLagpdP/S6k\nGegRJAaFQ5ctizaimb9gAW7o3Rt/3GOPmKO5PU2MnQ4OHiUV+ta+fYPoq6/5PmT/WWQxk3Wd9v32\nkmYKPdFJ14GVlyQbuD3yrdPTFPLM607EEiwvnRAocBj9LHT2yhDKhxZoizf5r2oPjR6NuwYOxM23\n3IJDp0zBpk2b0FRdXTTixPWxS5kVaUkX+pa+fdFd9SJaQJLi85hPyLtPqx0kMY9+n+Qb8cjyIQDx\neQ1pe5ntAYik+EPx6VGgkFBKWt4waEhz4HvrWj9LkxedjrUiloEhqS0EJPgP4LxtobXV3i5pVrQU\niS210kJR71vvOaftOaj0NX+XpEF4PbgX3iPNWLpHteLbHr+LJZRWnGnSSAJgPULA7618pDEbdTqW\nOaHDhYDDi1uXw9NQk8xb1gDkfEf//hFgaF+DVR9tRTsdHDxKY69ZDOKZEYzY+hst7F4PHmIk6z0T\nr8UIxemlyXnWaeoyc95C9aPLYaneVh5bq+FYlEZt9/KUJBxeXSdpBl4eQ2GSKMmc8KhQ2PKvFHz0\nUdH2hDqOTww4hMhSHy07LCkOz6wIqahCHsOEwqcVKk8QWtJbJ2lXVppWr9pSM6Ol9e6l7eWDn3tC\n1pK20890edMAY0gjStNGOpyn3Xh5ai/qNOCgtYCkw/pWX/O9ZSpYeWgNw1n3norpCYFnooRIM15a\n9TsNE7IApilHGkpS+XW4NBpUUt7StFvad1bYlvbmLQHkttYUNHUacADi9lgIDCSshGeV3tIOdDyZ\nTCb2nZClaaQFi7RMmEYLSashefMcpKzWLMBMJvknxCFigUjqPVsqmPw+SROz2tlLJ8msSMqbfp5m\nFCUpPW4HIa/T43ZqS8DosOAggi1kVaS3wasWbE9zsMAijfqf9L4lNmxSHHLNaWoB9JhRO7YsMPUA\ngd+FypOGGa1ePQR81voCL97QvZe+Fb4lJpNlVki+t0c4dRtpcN2RJgXQQcHB6xm54jyG16v+dLza\nfNBgoRcwtWTZN7/bXoCwGCNkl2rSZbc83Py9d6TNr46P69ciXZYkP0FSei0Jo/PUGi3CIg+kQyaO\nFU6u9Y7bml/bm1q+xLAdKYlBPMQOmRlpnoVs89DEEqsXDuU31DO3VCi1JsHxMendsg9dtszNI2sQ\noR2PPAqVhcFu6P33FwG9LltIAELlTapPK4xVF0lph8ofIovH+Dm/S9L60ua5tdShwCFNI+qen8mq\nYH5uMVwoTBLItLQcukxWGa3GtnozT0OxGIu31D/s8ceL1FQvLzrvXvlCdWC10bDZs4vymSQESfGm\nqTsBPT2PxfumpRTKd1JnxOE4vNZq+Vl7mxgd0qwAkp1VSRqDF07/nEXCWOckINoeIZFnltqo0+F3\nIaCxyi3AcOiyZdGPeC+59FIAwOKJE7Hs0EODoOCBkPXOKl+hsG39x9D778ew2bMBAGeceSbWHHss\n1h53HDKZbX4TEWBddiudtMLN9cr1GIrDo7TtzuE94beI5zKk3bekJR1XS6jDgoMmDxi8Z57poMMz\n4+iG53uPudIwS1pg4Oecnjcdl8Nb4MWr9xaOH4+F48fjN7/9LS684IJov8RS6lFDGoSXlpVf790z\nxx+PNTNn4owzz8TNN920JUxhmzOPbWx27qUBBe+Zly+uJ/08ScjSAkSSJqvfWVoUO5Wt5QFtDQhM\niWbFWWedhV69emHIkCHRsw8//BDTpk3DgAEDMH36dGzcuDF6d8kll6B///4YOHAgFi5cmJiBNA3h\n3Vto6mkUHvKmvdfxJ+UtxDwt/ccGU0YJs8X0DAo8Px/Y8gNaHRdfc9wh9dtLOykcAKw59lgAMJnf\nyrfFI17aaUwlK39JIKjzkZZvPR7xOjF5xiAh6ypCcbUHSCSCw9e//nUsWLAg9uzSSy/FtGnT8PLL\nL2Pq1Km4dKuaum7dOtx9991Yt24dFixYgHPPPTf1mK9QyHTQz7kCdXjAHurU73WcXtpJmkia8oi9\nK8+TmNqLy1PxtZAxU0l+F02YYPbEaQQoRFa9eN+smTnT7C01MHjThT1KA7LbW9akzsl6npaHrPqw\n6ofDt1S+WkKJ4DBx4kR8+tOfjj2bO3cuzjjjDADAGWecgdlb7cg5c+bg5JNPRi6XQ9++fdGvXz+s\nWrVquzKo1SuPofQ7r+L5ns8cxmNED2T42uvRWrL3pBZ+velMiLml/NamIDrOtMLE6SaFkzzod54W\nEmrP0PBrW/WUrdHaPEqjdfI7j29DGpXFZ+2hNQCtHK14//330atXLwBAr1698P777wMA3nnnHfTp\n0ycK16dPH2zYsKFVGbOET1eQCAF740PagofeHnBY96F31r1FlsqbFMYTZraTPcDUaYXSDeU3bdg0\n5obk2cu7Fo4QaG8vtaR8SZ1O0jOP/zznY1LZkzq07aHtdki2pEdpDVmVxYBg9TRJHl79TE+cymTi\n06e1o4rjamn5tje8FnYmrhu22dMAg1dXVn50HByezQArTg0cuq2svOl9G+SZVT/bQx6oWe2u70Na\naaiz8sJZ3+1oapXm0KtXL7z33nsAgHfffRc9e/YEAPTu3Rvr16+Pwr399tvo3bt3YnxJBS8Utv38\nJKR2pQWG0HXSd57whITL8iOEtICWhJG0ufx6M5Ck3weGtKlQ2+hvQnWfpo097YfbnsO3JbXExAp1\nNi2py6Twcm9pD+1ZF0KtAocZM2bg1ltvBQDceuutmDlzZvT8rrvuQkNDA15//XW88sorGD16dGJ8\nHsNbDKPvT/u//zfaWsuyzXRcaRrPayidP+vaKk8ITNLWRYgkLm1iASgaedDf6COk2urvvHgsW9or\nc1Ke0vgfdhSl4YNQvehwXnjte/D4ub0pERxOPvlkjB8/Hi+99BL23Xdf3HzzzbjwwguxaNEiDBgw\nAIsXL8aFF14IABg8eDBmzZqFwYMH48gjj8RVV121XWqfxShadT7zzTeLKtGq4BBAeGnzOZS/NN9a\nTtKWUghELZs1NPKh8xkaMfDiDzmJtXkTEm6tzXjpeYJmXbcVcZwe6Ht58vjXM4VlCzh5f+zq1TGw\nT8O3bUmZwk6AYk99thx1JSUlW360ksuhrKwMZWVlyOVy+OGmTfjuBx9Ecdw5YADmDB+O8vLyKGxp\naWn0Y1SJR/9enXtV6+ep3j8UQ+/54JGG0PbmIbJAhhmqoaEBdXV1qK2tRV1dHerr601/g84L17FM\nisrlcsjlcigtLY3Ouh65HFoQPKG2ymQJDgNbNpuN0pf8WG2keakt/RA670k9uO4YrHKKwPNmsvX1\n9aipqYmOzZs347rrr8eRRxyBjz/+GJs3b0ZVVRXq6+vR0NAQAUk+n4+uW1smjzrE2opQL+1V8hV7\n7omDhg8HABw2dSruGDDAVD+txktC4JCqaL23ri1i9botSDPdwY88UtTThRyHwqTCXMKszLyW/a/f\ne/HogxnZ0yCERj74oClYobZob7La2nNcesChwRDY0hZSN42NjThsxQpcd/31ALZsSX/WW2+Z5lV7\nm1odAhwsCgk4h7mxTx9XzfWAxUsrbZqhxkjz3jq3lDi/ImyTHnssYjjvG632awHmZwwWDBT8jOPR\nvWE+n0dDQwPy+XyM+bVfBCjWoEY99FCRKu61kQXm2yMwaTqPJACwwlmH1CfX2dyDDsJpX/saAGDy\nIYfgmr32cn9m0xbmqkcdZm2FqJLWc++6ubkZ1/fujUqHgZqbmyNVmBtNnvMzvufGtXpdCeu94291\nubweh02qpMbm/DU3N2P0Qw9hzNZZrL+++GIAwMJx46LZkFa9cbo8pCh58EY35N4TSA0auixiEoiZ\nokcARj74IEY99BAA4Nvnnot/Hn001h53XJRva2dnzg/XucdTXjsk1be+1mEswAh1VNo3I8AqoAog\nAlfWuCzQbA/qMOCQRCzYlkplIXJzc3z+ghwaCCzbWYMHUDyU5Qm6de2BgVfOpPg4DyuPOAKPHXII\nLvzZz/CzCy+MepmM+sarOwZQubeAgcHEG2XQmgfXJ/sL9DMJ99TRR+PJI4/Ed887D1ddeeUWv4PT\n62pQsOrWqus0wt7ScNZ7qy0173BbaJPtr1/6klmfEld7AgPQicABsFEYgKluWd+EUBwodrBJ3OL8\nYkYLMSinndY55sVh9dL6LMdjkyaZ9SPXejSB02xqakJp6TZ2sEY6BGxDcy3ESZbP52Pmg3YKFwqF\nIi1A4gCAVUceWaQpyHt+5tW/biurLkPUGmCw6t7iO+tbvpc6u6VvXzRv2mRqDV3gsJV0pfC9HhbS\nk6V0HEJaq2BGEgZMm7ck80I/4+der6a/9wCPy//YIYcADQ0xIQO2/S7PGmJkwZU0stksGhsbYyMc\nhUIBJSUlRT4NNjO0WizpSDgBBh4BkTh13Tx55JGR5hMSOIlbX4dMuiTidEKmrhdf0nvrncUvcm8d\nnlO3LanDg0MImTWKhsbFpfKFETUTeb2SpMXvgGQzQYOCJ/Q6Lut7udaCafVKVg/lzT9gBuPp1jxk\nm8/nY8DLvgKtVQg4NDQ0RLYyD6kKMEhe5Fo0FmuIN1Q+DQJeOyRpb2k1g9BzK5/6uXdYozBJ+Wtv\nYAA6ATgIeQ3haRFeI/G1BxRWeMum1SYHU0jF9XoJ/s4ScK/sSczLvY0GCqkDBgaeC8L1IxqINceg\nUCjERiUsAApt/MvpJdUJg3foLN+mAQir/lryLCl8CAjkOedXh/Hy3xJTqaXUqcDBQ9w0KG05GPmb\nkE+B761vOE7LzuW0rHRCqq+XXy8NeW5pUVrL4rF2EXzp/XlEQd6LCaAFWeLUw5/at2G1W6FQiE3C\nSrstva4fLSS6fq13ofj0vRb0NGcuM19bbeLNJrX4Q7d7Fzg4CG0xnjWOrr/Rwu31PBLeE2rdWGka\nLuRnsJjQupf0LUHSQMBlFGHVwGqZHeJ34HJa2/ZbwGOlHQJzayapVVe6jN4Pi6w2SKu96foOAYP3\nPKntLJDw5jGEtKn2pE4BDiGE1j23xZT8zhO+EEpbwCDnEKBoCnnWQ99ZZeZn7APgPDIQeENmGpgY\nYAUcgG2ag66TNHWbZFMDW0wOLounQVhgbtUth2kpKOj6TvPMitMCAY6DTUXdqbFWp0mXqb2oQ4GD\nJTj8zhL4pIUp3Ah6WMxjGgskLBNCXyc5KZPKmgYYLGKB4nkDXk+kn3n1LQzLZedhSM4/140GK+3L\nkd6QNRPJP2sDXCZLIHR9WJqCrudQu4QEzXqXRkvw4gppDBq4Nd/peNqLOuT06ZCQWO905UpYS4MI\ngYhu7ND3Op8h5rHukwQ+DbHw8KKyTCYT8xd4TOgJFwActWqV2aOFbONCoYDJS5YU5U07OTlPOi6d\nH8//ENJadJg0wpvUlt47nYbFZx4fsSlngYWQ3s+ivUFBqEOCg0e6wvk5X1uMq+PRcVrXVvrWtZU/\nizHSpKHjT6s1iDDKcKGAxYynnzbzp3t23Tt/+V//ir7ToKJHPDhvhy5fHgMEmdPAQKEPKcekxYvN\nVZchgOC0k9rcA+e0wGDlwSKPT6186qHl0BJ3i5/akzqUWeH1DiFBZbWVex+rV7NAwRo64rg5TMiu\ntcjKf0vs3xBz6HrTAtnY2IjS0lIc8/TTmHvQQdH31lwNFsiZa9ZgxurVAIA/X3EFAGDBmDFYNGFC\nzDyTyU3ZbBaTFi/G5KVLo/z86te/xuKJE/HIwQfHBJvzrTWekpISTHrsMTx19NFBgPDIah/9PEn7\naC2l+dbiRQYQvSBNfD4WD+0ocOgQ+zlYz3WvxvsNlJeXo6ysDOXl5SgvL0dFRUXsLO8rKiqiPQn0\ncJk+tH2b9M7qca39HKzemcsaYvxQryH30tvIHIN8Po8JixbFhBUA5g4fjtkHHmiq8Fr9LykpwdXX\nXIPvnXderHe36oNNmUwmg//5+c9x0S9+UZQ/7fwU06ekpARTly+P5ffJI47A0zNmxNpNaxl8rbUL\nS9vwzlZdW8/Tapv6Xo/c6LaSfRw2b96M6urq2H4OVVVVqKqqQnV1Nerq6qJ9HHh6emvEN+03HUpz\nSCIPdTUT6gYRBxj39h76am1C3+teKKQ5yHsg3UiFfsfvLQb0BHz51Kl4dOJE5PN5XHrZZfjeeedt\n0SS29k5aY2E/hRzzR482JyaxZsb1IuGWTp4c006kTKxeazPoienT8eSRR+KCCy/Eny6/fIspQqDj\nTY7S9aS1E0tjCGkS/N6qe+s67TudhgUqFh/vzJ2gOhQ4JAkaEN+kxLLTvHXvVoPIma+1CeGZDmkE\nnd97DWqZLDp/Vj69tGSikkxJfmTCBORyuUjIrB/dyHesCTw8bpxr92tth4X98WnTUEJ1KSMQGsgY\nHMQUevKII1xtQael28ICbav+vfq26ty79njJC+PxH3dufJ8mjh0BEB0KHELkaQ18TnrO8Whfg5We\npWlYTKeZI+0kHotR0zCarhNOiwGipKQES6dMQS6fj4BB/AXMhJaJoB2UnjlkmWBSHr1cXoYpLXOx\ntLQU//zyl1GqRl00GFmaga7rJJCwgMFqG/3MCxt6z+3k8a8FCklzdbrAYStpQfXGhrVDR8KKwHgN\naQGHl49QLw/YE3ZCFGJwnS8drwUMLHg6He6tk3rzkCrPIOT5XHRZ+Mz51Ht7Wnt8akAKkW4fz9Tg\n/HHerHvv2kobsJ3h8t56FurkdpZJAXQScADijS7mg6zqE898c3MzTn/tNdy5334x8ODJT2wr83XI\nLpWwMotPnnuMyj0kx9nS8mqh8nofJhZw6b31Oz2WrgWbgcIja/5CyEfgARl/rxd8afLMCX1vAYT1\nTVotwrpOG0a/48VolvBrh7E1OrWjqMPNc0jqIRkc9KaoTU1btqr3kNjqiUM9dNL70HdpyhhKzzv0\nXINQ+pZtLyq83s2bd3nmuQnWjt2WxqBHO3RYnnvhHZYfg++T6tI7J7W/F29L2lq3T6jtGCR4CHPm\nmjUdwhEp1OHAAQg3gJy1WfGt997DU//8JwBg0SOP4OSXXgqqdGmYKZQvD7jS9PZJ79MwVxJZ6rgW\nXrwBby8AACAASURBVL35it6ExRJ0EeKk4WDv8OK2zBLJexJ5vXUIIHR7tZTSCCy/s4Z19a5Zxz/7\nbGximQaI7c1zS6nDmxVSEWweCDE4XPm5z+HGfffF06tX47CpU7fMd0ghzNaZw1tOLskL0PrFVGm9\n5vraYpaQ6skAISYFsG1vBXnvOQB1PjjfoUOn7aWhfSSeuWbVsS6jbq80dd0S8gQ01JFxeD3MLsAw\n/Yknohmpc+bOBQBcv88++MOnPlUUz440Mzo8OFhk9cJy3NC7d9DTa13zPTOQJRQ6fIghPRBJSjdU\nRvYxJPUiImgaBBj4tIBavgadrifs7CvQfgOtxYTARF/ruvLe6zBpyGqXJMDmZx6Q6zAaGNiseGDY\nMNy53364/Y47cPj06aipqUFVVRUaq6td84LbsL3AolOCA+AzwU2f/zwqEG8sFlJLoPQkKU5DayxW\nj2Q947i1xlMoFA93WszFTKAdjx6zaLLUdEsYLIekrgOePm3FLRRyaHraiedsZGDTdcNtmgQWWnuw\ntA39jZWm9z4E1Lrt2bzgDXIAxDQK/v9rmn99tDV1aHBIwyD8LO3Qj0ZefgbYZoPHWHz2POWWMAog\n6XJawJBGo/AYV+eLn2myRgrYlNKmiEWeSeGlmxYgrPcMVl65JR65T4ozRJZWGWoP3W7ed8K3d/Tv\nb/74x+JtjrO9qEODgyZLlWJktRBeL4dltZrDyrXHoHLNQu2BhH4ncYRUwDQCr997YS0w8gRCQNAb\nhtQ9tBWvLrP2I2iyzAm+toRZ0reEmYdkrU5Ep20BdxozJY1mkPQ9p8f5bW5uxm39+qGpqqpolq/V\n6e0I6jTg4Akuo6qgbpphvlD8DCRp1E8rjAYKzofEm6QR6Hf83AKDNI5JFnYtnPovVExiVlgC5X3D\nYfSzkDAmCbgXt27rtBpFEqUBCE7fA+7Q93okgzs9vZ+DxNOe/gagE4CD11twBVoICxT/4Um+k7PV\ngyRpDxKvNjssFZbv+RlrH5yGd26JBqHT5LRDgp0k6MyMSWGTnqVV5UPl4ede3NqJarWFjj+Ut7R1\nHXruxSf5tTQFy6RIm8b2UIcFhxAocKXxn5r4nYXe1uH5MixfQwitLQYL9eL6XRIIeGfrmsOEhIKB\nITRdOkl4WgIGli/CMik8SvPeSiNJA0nqiZOAOI3WwGl5wGC1oRX3jqAOCw6arIrm5xYwcBie/mzF\nIWfdeNbzNJqGB246Pq98HjOkAQpNFtNbvb7WInTaVhnSmBZpyQPr0DsL/HTYkNB7daPTsdqCTVev\nPHLWgs8agmyco9P2qL3NCaFOAw6AzSBc8dav3izACDFdUppeGE26N7LAQMcR0h70dyEwSJM/zmfI\nBLLK5L3n9CxAterE+laDb6gcVv2E/B+SH+33CWkPXlt5zyyQ10PR/C5NuXYGdQpwCDGSrnw92SSk\nUfDwnB4zTwIFHvnw/AdCSeqqVR4rHu95KM4k8oQ9TU8b0ox4BMGLh8OHeuukPFnpW1oQpxvyG3lx\nWvdJeeL60n4E+d7qvHb0sKVFHRocPE0h1DMB2wCCv7Pi5hEJqwfRaVqCYYFOWkEL9TRJWoZHIY3C\nypeUiSeCaW1Cx+kBNU+W4nr0nJ5phTNNTx4qZ1I96LiS8qHNiZaCsdb+GDAsANHp7yhKXHh11lln\noVevXhgyZEj07Be/+AX69OmD4cOHY/jw4Zg/f3707pJLLkH//v0xcOBALFy4sF0ybaGsVCqrr5bW\nwNehJck6rKdK6vxY3/EzbnjdQ2hPtR5l8Zgp5OH2JobpobJxDz/s7oSctv71Cll9z5N7eNaf5Yn3\n0vLq0asXTxgBuOlafGORZf5Y/MbPta+BdzWzhi6t+t9RlAgOX//617FgwYLYs0wmgx/+8IdYvXo1\nVq9ejSOPPBIAsG7dOtx9991Yt24dFixYgHPPPbfNC5ck9KGGTeqNrUbla6tH95hCf2flUY9phxha\nf+8N41ogIWdL+EVgJy5eHJu2yzP1vEk5Oh45JJ6RDz4Y3fM0YT0L0BIWS+iTgCHNN0ltEiLPb+SB\nmhW3zMfx6lUDhu4kdiQlmhUTJ07EG2+8UfTcyuycOXNw8sknI5fLoW/fvujXrx9WrVqFsWPHbndG\nC4XkHZo0w4b8D14Z0uYFSDYfQs6tEKOGymjFk+aZda3TamhoKFoXYU2n9uLUZsO4hQuxfOrUouFS\nuda7PYX8BC0pr4TXk6AsfwOTblfr3mqfEGh4nYGnTfGh49jR1Gqfw5///Gf85S9/wciRI/G73/0O\ne+yxB955550YEPTp0wcbNmzYrgwyKGiA4IrT6hk/40axvrXi1d5rvgbs4a60Q4Ccvs5L6FvLj+KB\nRpox80KhgMNWrMC0J54AAPzyV7/CIxMm4NGJE92FWAAweckSLJk8uSjPEmbK0qWYsmwZAOCnF1yA\nZVOmYPnUqe7+D5lMfHam5aNIKqsQf8vhLb+Sda3r3xPMUN3q91Zcwo+W9pNmpG1HDGe2arOXb3/7\n23j99dexZs0a7L333vjRj37khk0zbtsSshjCsmFD29R7Fc/xW/dJTOLlNyT8zBDeoVVN72CVXav4\n8o+E+vp6NDQ0RMe8UaNw/ve/DwA4//vfx7xRo1BfX4+6ujrU1dUVXdfX12Py0qVF8ci7+vp6PDxu\nHC684AIAwH//7Gd4eNy4KA4+JA7Jm1xbZdBmjqUhJplYafgqFK6lvKF5ACie32DxqV6BmSZv7UGt\n0hx69uwZXZ999tk45phjAAC9e/fG+vXro3dvv/02evfuvZ1ZjPdKmcy2fRIslU2rbWkYJST0WnOw\n3nv5TWImDzi8+7RaQXNzMw5bsQIPjxvnpqOZ78ERI9DQ0BDFyap/JpPBEStX4ognn4zeX3LppXh4\n7Fgs2Kop6l4a2PKnrLq6OtOU0LtSZTIZHPLYY3hi+nR3c1mvrfi9pKO1vqTvQmT13iFtwTprXtU+\nGAZ4za87i1oFDu+++y723ntvAMADDzwQjWTMmDEDp5xyCn74wx9iw4YNeOWVVzB69Oi2y61DhUKh\nqAe1JkTJPc9pYKDxgEDCytkbEuRr/czLt8Vols0Z8rxbqunhK1dizvDhQRDieO4fOhQgQQbim7nM\nGT48+q3eVVdfje9+5ztbvq2vL6ojobkHHRSLU28lx8BQWlqKgx99FIsnTYre6XwIWdccVs663CEg\nt9o2SVMMvfdAmNtLm78MDFab7WhKBIeTTz4ZS5cuxX/+8x/su+++uOiii7BkyRKsWbMGmUwGX/zi\nF3HttdcCAAYPHoxZs2Zh8ODBKC0txVVXXdUuZoUlnFzRjMYMFMwwzc3NicKr09MageUoS7IFdXjr\nvRzWLsUWs0m4o1atwtFb99EEtgjx7GHD8MCwYWa6Og9a6PQhQjp3+HDUG6AQKrfnlCwpKcFRq1ZF\nWsn//PznAIDFEydiyeTJRT4PK18MOLosVg+vy8rlSGPLe1obP7OAwDrYIWlt6GJpuzsKLDrUvzLT\nfsOMxb0R/z+zW7du6NatGyorK3HOhg24Z/DgaLflsrKyot2V5V6r07rHs84WA3vlTOr5LR+D5UPR\nDKdB5C9//StOOflkU+MI1atVz5Z67/Ww3rUWbqsur73uOpz33e8WtaseOdGAoDfM9TaxtdpNa0pW\ne3naln4GFK+slLYUv0ptbS1qampQXV2NzZs3Y+PGjaitrUVtbS2qq6tRVVWF2trayP/C/8RkbXJ7\nKO33HXqGJJOlMejeXzdGQ0MDSkpKcNrWf1mwqaF7mjRpW2eg5UuQQ++15hCyR61eSe7vGTQIdXV1\nQbs1k8ngpBdfxN2DBkX3FkBY4JCm3JZWZcUpwjp72DDU1NQUCbIHCtlsNrZrtrSLhNF17pkWSfn3\nnlk9uqc1SPsJX+bzecxcswY37rtvat/YjqYOuTV9GrLsMd0I33znHazcqq4+NH8+TnzhBdees+51\nejqc921blYtBQY8KiMdfeh09EvCXL30pNgLAB48EnPTSS0WTcqwREPm2oaEBx61dWxRfaBSlqakJ\nJzz7bCxO/l7Kds/gwUXlkp5WH7W1tVtGTpYsKcqDJWSeEKflrxBv6Gdas9MjSdKOs154oWhEhvO+\ns6lTgYPXKNwYbMP96TOfwfADDwQAHDZ1Ku4YMMC12zXIWO9C37UVynNPI+cjn3wyJlA8bMjDgl99\n/vmi4UBvyI/VVMtU0fXKjH7iiy+apk/ImTbrhReCZdVANOPppyMh0sOfDHqHr1xpzubU5prVzpYm\nqtvZyjOf9TO+Fn7UwHDkk0/i9jvuAAA8ungxznzjDXNT2Z09WtGpwEEoZAdqxM7n87h+n32CsybT\nOH08ddJivqSeBUinkstxzNNPx8wMa/y/sbERp776aqyMOj22t7/26qt4aOuamHkPPYRTXn7ZdBrK\ncdKLL2L2nDnRfxVmz5mDE7cKvOW0FLX/xBdewH1/+xsA4N777sOsdetcv4CYas3NzfjK88+bI0/6\nHoA714H5IS1ZYZO0SK/ttBYmYHf3oEE45stfBgBMPPhgXLPXXkVbHGrTxMtLe1KncUha3/LsOr7O\n5XIoLy9HWVkZKioq0KNHD3Tv3h2VlZXRczmHnFfayciOsTROSq+sundhQGNhn7p8eWxuwf1DhuDu\nQYNianRzczNOefllnPbaa7E0bvs//we39+8f5YHzz8I8e84cHDdzZlG9MrHAFAoFPDB7No4/7rio\nvjlOfS10x5134munnppYH8c/8wxOeO652Pv79t8ffxsyJOaAPG7tWhy7Zk0UZtH48Vv+KL711378\niz/rR71WW3nkaYme6cGmoGgE1dXVqKmpwccff4zNmzejtrYWs9atw5Wf+1xkJompJCAh8SR1PC2l\ntHF0OnDg7/WQGDOPAENlZWU0ctG9e3dUVFQU/SeSRyt4Gq83pdcCBA0cnD+LdINb6rVoB3++4gqc\nc/bZRT4D1oaALRrA0Ucd5QKBPJu1bh1OfPHFWH5EAHX7WBrT3ffcg5NOPDEWp5RdOxtnrlmDmWvX\nxtKaO3w4/j5ihBt/oVDAzbfcgjNOPz16r9ta2uvKq67Cj3/0o6L/fXK7Wn/yTgsOSWakpTUKyAs4\nNDQ0oKqqCps2bcKmTZtQXV2Nuro6VFdXY9OmTaiqqorNGOVheRmp2Bng0GlGK5gKBX9rNn2w8Hj2\nNC/Q4bjlOs3Z+i6JeMRD7oV5OY/zR4+O9skEtgGQNpMAoLy83ByeY+Gae9BB+PuIEchkMvjrbbfh\n9NNOQyaTQbkhKBKvFvK77r4bs4cNiyZGWUODmUwGC8aOxcPjxuHqa67Bd849N3pXkQBAD44YgcrK\nytg7a+hy0fjxERAwWHu80ZL2SQMMXjrMX2ziCrizI9Yasgz5b3YUdUpwELJsP90o2mOsfQ/yDYOE\njsvqSTWjpWU4oUxm249tvN5RaNGECSij4dfGxkaUlJTEylYoFHDv1rkclpBa/oRsNou5w4cXAQqD\nnND8MWPw0OjRKBQKuP6GG3DO2Wcjk8mgzPBPWObFgjFjitLx2rRQKGDxpEmoNIBTm5HLp05Fmao3\nTqOtBSqN5sA8xOYiC79eym51WnJuj3KkoU4NDoDvnNRzHvL5PEpLS9HY2IjS0tIILEpLSyPG4sbR\nGkGS1qDzIsSCoEGG4+GeXguPNavQGiF4cORIlBFIpQGI+WPGIOcIt1fP80aOjAm6d3CZF0+ahJzR\nq+t8evXnmXE6LWtehEUW8HvlTdIcPG1BA4M2HS1tQcdj1cmOok4PDkLSC7PAWgjNjZTL5YoawzIp\nLECQNLVJos0EPjNpbSOb3fYvSgAxR19TU5MLDOKxZ8Y65l//itR9icM7rJGJpJmCjxx8MHIJ8epy\nW8Kqw2Wz2Wg5uA5v+X8s0uWy6r8lWp5lOlj3umPS5oTe4IbNXa1l6BEK5rkdSbsMOAD2DEMRJnbs\n6KEiEUwRSA0CupfxGorj4++AMEDItQYIFlydT8s+lXLNWL0aD6kFb1qD8EDBmzlqldnSSvidLrMH\nFnxMXroUT0yfHsynp9l4+eJ3uh2t9vE0BSs93cuzOcAagjXvxNI8rGH1nUWdcrRCx8MMJD2MDGnK\nyET37t2x++67o7KyEhUVFbHhTO3pTpq+6wmVZmh95jx7qilQPClJA54HCtOfeAJHrloV1c+8kSMx\nb9SoWH3pvFhlYJVdyGOTEAiEnuv6mrR4MSY99lgU9olp0/CPww83tRwmT9XX5fOGMjkfoTbxzApu\nE7kWQJC1FFVVVdi8eTM+/vjjaMhy8+bN0ToKGakQM8PSHtpSTNPGtUuAAzMPD1PJkFZZWRkqKyvR\no0ePaDGWLNASkJAhLz2kaQm+TjMEEp4HXSjEiN6hJ3JpkPjDH/+I73/ve2YPpNV+S/i2Fxys5xoY\nrHrKZrP46QUX4He//W0iIOs6s+pQl42Huy2tJNQeoTZiwOY5DnV1ddEiq02bNkXzG2pqalBVVRXN\nfRBw0OZISHPZHkobX6c2Kyz1X486sFOI1TtxSnI4Ud8lTs0w+jm/k2sdVucxJHBW/NZ7uWY/izC7\nqLeWacPxePUJIFYH1nsvv3zmsqcFBj1XRAOy1hwsAbbyZAGKVT4dbwh4dLpa22PzgflOr0mxZrN2\nBJMC6KTTp5msBtQquW4ka2GRNZVaM0lSjx763ouTy2CpxHztCZQ+Fo4b5y5X1sfh//hHUX1qjcQr\nl6W98HOhQ7fuJxnSBCR/Kw8/3CyT5ZBMY/5ZvBLSxrRKH2o7fW85InkVJq+vYF60eMG735HU6cFB\nyFIB2SusZx7qbbq8SSetFfyWAIoHGoDt9AuBRElJCRZPmlS0x4EHEjI92xN2rkM5DluxwhQmXYdC\nhy5fbpoZOk/ZbBZPHnmk6b8JgUpSGEvbCHUqLW1XLjdrqLKWQs7aQRlaKNYRaJcAB6vnlXuN5HoJ\ns/cPBc343DtYYKHftQRUdN75ue79LLDwNAhrrYgcR6xcid//4Q8AgN//4Q+RBpFGOA5fudIUDF2m\nqcuX49cXXwwA+P9++UtMXrKkRQLOz0KUFhgs3mgNaHtl1/MYPJ7T4JCmk9gZ1Kkdkla8LBAAIiej\njFzIQqxu3bqhoqKiyDEpIxehHjfJKekxPeczbR1YjMLj456GwnYs32sm/81vf4sfb909PMSU0594\nIrYIDAAe3jo1Wsgr+68vvhg//5//CQKY549IEnJdT1YHAdiTpfRzK06rXjQ4sF9LdnGqr6+PRilk\nPYWMUsi1TJ9mUGEfRHuJZtp4O7VD0iI9TwCImxjsFNLCz4yqmUkcnXzNGoOkpec58L12irWW2Jmm\nHXBcdqkLAU0NJplMBovGj4+VRd7xGQAeHjcu2s36j5dfjh+cf74rVPr5Y5MmueaR901LwFPnVb/z\nvuN6DIXTaWiNQzu8ed1EQ0NDTItgbTWkhXYEzWGXAgerwVlAstlsZAvytGletVdaWhoBiTCwHgGR\nZwCKQCEJPNpSa2JgsABCAEHyIOXhsI9OnIhMIT4bVJiV69ITviSzJ5vNYsnkycgqsA0BRBozQoNj\nmnc67jQCqMuvBdkyWfV/PHiDHp7LYM1u7QigILRLgQMQR3cAsVmP0iACDtnslrkQ31i/Hnfut1+R\nWqsFSsfJabJwhcAjiVi74HtdPk8oPMFisLLS0EyptQmmBWPGxOIJ+QrS+ALS+AisOkhLSeUN1Ztn\ntrHGoPeGlDkOAgb8nkcoLI2hNeVrL9olHJJMocZkxOZGO/PNN02Vz9v+jE0Xbf+HhsHSOiYt+9bq\nVUI9r+fgs0YIvPdeuIXjx0dppQlvAQfn3wKFlpoVXvtb8XhakNUO/Iz5gB2PPCrBe1/KXpt65y49\nQtHRRimEdjnNAbABQoS4sbERmUwGDQ0NOH/jRnzvo48AAIu3Tt29o39/3D90aMTorD2wqq2fs1bg\n+SDkHrBXIuqe3bOJPVs9pOZb5oEs+9ZaT0hQNCWNMngaQ2u0hZaYBCGTgsuSBB4eL7EPS3wLDAx1\ndXU4+eWXce3ee8c0CGvoMm2ZdjTtUqMVOg1vWE/WXchOUS++9BLGjhmDioqK2AgGT6vWcwYs5tbP\nvV5U8heqh5a885rQY3IrnO4hreehvFijDPrME5ksbcMDEX32yhAqZ2t5ToMDj0ywCSFToo9atapo\nm7ure/bE73ffvWgNheWYtPLe1pQ2/l1ScxDy1HdxNsqIxZV77hn944J9ERJOSAMBPwdsLYFHDXiI\ntS2oNRqGZ55w/YgjU2sVVvyeKZMEDC3RGpjSAENL4wqBraVBseagfxlwW79+uHHffVFbW4vHlizB\nsKFDo/UT+XzenYUZKt/Ool0WHLgXZAZngRX0v/zTn0bF1mvRDGS3JWFs7WtghgqZEcyAbFJYFFKb\nLfOBVe0kIdPgwHHIe/3OMjE4ffkuybSwgMHTvrwyJ1FLBSwpPLe1hGEeYpNCTAn+Y3hdXR0AFDkm\nvT0hOxIoCO2y4CDEPSCwzQuvZ7Pl8/mY+cFmiACFkMTFzyyA0D26AASPoKQhzy5OAzLeO0/r8PwP\nHoX8C6EJYZ4JkVaz8sAtKbxc69Ekr5zcyYjWqX0N+uc8snns5Xvsgdra2ui9Nd2c0+hotEuDA6Oy\njCkzw8uoBdu+bFaEJkVlMploMxkhPQHK6/3ZmZlEngAkAYNlUuh6sepJC1ES4/L8DbkOzXK0Riv4\ne05b5zFUpjSURkOwwrMpof0N3sSnfD6P3+22W2z1pffvFC9vO5t2aXAQ4l5GMwM7hkpKStDQ0BAD\nCe7xhJjRPT+DJVh6cpTElWRCeOFCFBIkDWBsorBApDFVtKAzGEhaIW1BvvXquD0oScPga21OWMuu\nZRiT/Q8yp8Ga12ANj3dE+sSAgwUM0vuzqqjH6ll7kG/01GQLBMSE0GoymzhWPjlv1jsPOKxvLCHU\n77XN62kVOg6v9/e0A8+MAFAEKJ4ZFbpPS0nmg3XmXl/PgJTf9AkY8Du9X6S1y1NHBQbgEwIOQHGP\nzqaGNKq2j/mZZlj5j4RmcCDe4EkzIzUgcBxpem7v2nqnn1mMqfPgpeuBhAcCWpvwvk0qa6inZQ3I\ny7/3zNIYAMSAQQSfTQi591ZdsinCO0Z1ZI1B6BMDDoA9661p6/8g2PcgQ5r5fB6APwQp6zOYLMH0\nACLJF+CFCwmSJ5iheDyNxUojCRSsND1Q0PdemiGzS4cLmV9JYKF9L6w1aDOCf+zLQGENWer/Unh5\n6Wj0iQUHFljWILSKC8AcigNsJrXMCPZNaLPAAgh5HupJrW89tZ3feWTFlSZMyFzg8J7pEAIur5zy\n3MqfBxCWdqCf62c8ZKk3jeWNYQUY5Jksw+aD0w05QTsSfaLAAShWGbPZbDTZqbGxEQCKZkPqsXkA\nUXjd63p+Bj0ZSpMFEnr0I8nMkHi8nttLj4Up1It7YJMESEmgxWdvVMIbpQmZEVIua86CnL1rDQwa\nAAQE8vk86urqouc84xGw997oLPSJAwfAHgEQZshkMtGIhf7xqgCE1gCYWPDZHGkNQHh59cKG4rNA\nIo1mkUagk4AiCRi8PFnPPRPDAwam0EiEPOP5DBYw8GQnmdPAJoZ0GN6oRGcCiOCMk/Xr12PKlCnY\nf//9ccABB+BPf/oTAODDDz/EtGnTMGDAAEyfPh0bN26MvrnkkkvQv39/DBw4EAsXLmzf3LeCtGkR\nUiGZCdhLzSvtrH0pvRV31poFi0m9fFuURtgsEAitA7EODYzWOc16Ce/gvFl51GVMAsdQnVr1rneL\n5olNvDcDD1WKxlBbWxsBg/7tnbfIqjNQcOHVe++9h/feew8HHnggqqqqMGLECMyePRs333wz9txz\nT/z0pz/FZZddho8++giXXnop1q1bh1NOOQVPPfUUNmzYgMMOOwwvv/xyUS+Zptdrb9JMyGsAZGGW\n3kJOzuXl5aioqIhtKSd/eg6ZI56AWcIh1JJhwTQCyfHINdeJrqOk50maQpp40pDlF+CzfmYBsn7H\nYfQkJwYJNiXkvxO1tbWorq6OtnwTk4JBZkdu/dYSSpuHoFmx1157Ya+99gIA9OjRA4MGDcKGDRsw\nd+5cLF26FABwxhlnYPLkybj00ksxZ84cnHzyycjlcujbty/69euHVatWYezYsdtZnLYnb+iKZ1Iy\nhUyJTCYT2ZrWO/le0mITQ4Saw2q7WzvZQiZGksB5wqzfbc93oXBWvFJGK4z1PDTqoH1KOozlDxBA\nkPc80UmPRIj5oEcr9H9YtebQGSm1z+GNN97A6tWrMWbMGLz//vvo1asXAKBXr154//33AQDvvPNO\nDAj69OmDDRs2tHGW245Y6PTaCHZOhoBBUz6fjxhU/BVCPGqhZ0vq2ZaSHvso0qrSrdHMLGDg/Hnm\nCec1pI2kMX+8fIWES97rcJaGoW1/NidZsNl0FAAQnwMDg/UbO2+DIM5LZ6FU4FBVVYUTTjgBl19+\nOXbbbbfYu1BvI+87MnGDaaehbAwjxGXNZrM46623cHv//kVxCrCEiOPRsy0zGX9uhOTZq1cWlO2p\ne2uiUmvOcp0ECC0VHCmj52S0hg89P4PeRp7XTLCmoIFB5jRYgNDZgQFIsU1cPp/HCSecgNNOOw0z\nZ84EsEVbeO+99wAA7777Lnr27AkA6N27N9avXx99+/bbb6N3797tke82I6snYTuUx7flkGdnrV9f\nNEuOf5Zj2Z/ClCFmstRii7lD5bCeWd9afg6PWgIILaU0ebA0g9A77RTms24n7XwUn0JtbS1mrlkT\n7cnAcxwsYBDtobMDA5AADoVCAd/4xjcwePBgnH/++dHzGTNm4NZbbwUA3HrrrRFozJgxA3fddRca\nGhrw+uuv45VXXsFo9Sv4jkhJAKF7lW++8w6eXr0aALB8xQqc8vLLiQDB6qvlBAsxspAGCG8yjQce\nrSXtF7DSa00aIdBqSdwhENRtav0KUe8DKSAgDsdTXnmlaAs4XjuhgUGet6ZOOhIFRytWrFiBYx6J\ntAAAEKdJREFUSZMmYejQoRGDXHLJJRg9ejRmzZqFt956C3379sU999yDPfbYAwBw8cUX46abbkJp\naSkuv/xyHH744cWJdlBTQ3v2eVhORiHKyspQVlaGiooKvPLqqxh+4IHRSAb/GIdHLngEw/pRjnUf\nGm3QQ4VsAlhl8OLy4ue4+F5fhxyT1shEa9rdMx342gN2C+i1w1DAgU2G6upq1NXVYda6dTj99dej\ntK/cc0/8brfdYk5IHZ/ezKUjUtp87bJ7SLaGNJOzcLGQy/6TP66qwnX77INcLhcb7iwrKwsCBAOO\npKH//JQk3N48BZ3/JIDQ75iShqBD4GC9975NYyLo+yRg0ODgCTIDg2gG1dXV0XBlQ0MDVq9Zg/0G\nDIgtz9Y7lMt6is5gTqTN1ydyhqRH7MwT4inWQplMBvX19fhN9+6oqK9PpW7Lof95wQLY3Lxtlyjd\nC2tB1WnKsKh28ukRB0/YLCcmO0qtb70ya4DgZ2nMHQ8cdH3ytaUhaFOChZnNCQaGmpoa1NTURNpD\nPp/H5Xvsgbq6utgvDfSKy84CDC2hLnBQlBYgJKw+87i2nHlbOAmjd8MWQZZw8k7PiRCgCI1mCGUy\n27bT98rGeeV3GmQ0s4e0Pw0QnE4ShYTLAlu27S2noPYDsB/ImuXIQ5dy/G+3bmiiv2TvakOWHnWB\ng0FaUOTMQirDlSEhEsYpKyuL9eIMAqxRWPY1A4CAjJ4rofPOz3jIT95ZKr2OyxJw1gJ0Xj3tJu1w\nbMiU4GcaiCXvrDnokSENDjxMyTMfWXPgxVV6pqPliAzlvbNSFzg4pAFCjwyETAn+RphWplqzaWFp\nDnwtYCLfyN4T3mQq0Sy0oLP2wO/kub4P1QmTFm7rezZNdBxWWpbZoYFDA4T2K2htQZsSspJStAQG\nBhm+FN+C+BI8TYE1xV2NusAhQNpWtkwG7pX1PX8jzJvL5WKmhQUM2i8hpFd1MkDIM6GQ2WFpCa2p\nF88EEQqNXljpeveWum75F9j+t0YmeC4DT2oSbYG1BsvpqIcoNTDsaiDRBQ4JpAEC2LZ7FD/ToGCB\nhgCDLNbSIKHTtUDCA4iQxuANWbL/wnpnCb9XL5ZDk+sn7QhVCCD0dRIoMDjwEmv2L8iohN6jgf9G\nZZkQu7LGINQFDimIGZxNBs8JZQGDMGoul0NTUxNKS0ujQ3+j/Q/6Wv5xCaBIuC1AsDQINgEsX0OS\n+s/PtS/Ce5+GdF1bPgbWxBgcJAwLtZ7HwBOZeJMWngSV5oe3uzowAF3g0CKyBEAzrA4v58bGRpSW\nlppOLZkTwczHi7b04i0+S1gNBJLXpJEN9qVYZoAn2CHNwprrYIXTZKUT0sj06INnSvBuTdZMR542\nbQ1VavPwkwAMQBc4tJg0QOizbEqr34lDEUDM98CaCA95MiAIc4pDkw92RuqZkpIWA4qE5UM/kzj4\nbFHaSU5y9oTfI8+U0MOUrC2wOcBT3tnpqBdOscZgzXL8JAID0AUOrSLNIOwY1AzEgi3aQS6XK2I4\nEXzLI85mBodjZ6a2/1mbYO3GMiEsP4QGQW8SUxqtwQMRXU9ePbOdrxev6dmOAgjS+4vg8yYtYkbw\noTWQT6opwdQFDttBLEDCRCJ81hAYmw5yPuutt/CXL32pSOA1g7LTkk0OASZLa9DaQUjLsHr4pElW\nTJyOfm7dt0Rj0EOH2ozg/1ayFvCV557Dbf36ob6+HjU1NUX7MrDjUS+K47pPyu+uSl3gsJ1kaRH6\nvTCwOCO5Bzx7wwZct88+kXYhGogAifxDgzUKAZBMJlMEJgwUQPGW8PKMAcACE6tsST6DkBahn4WE\nTQ8Za42K65CBgbWCfD6Pk156CdfstZfpW7D2fNTDztpk/KRR18KrNiRty/PCqmx2y/83c7kccrkc\nflJdjfM//jj69rq998bNX/hCBAZihuhra4VnaAFXS1ZlWmWwypimHtKQx3qW41FrDXKIo5F3gj7l\n5Zdx5ptvxuK84rOfxe933z0GDNYwJacZymNnprRl6gKHNiYeHuQRBAsgcrkc3nzrLew3YEA0g1Le\n81CnBgcLJDgdfa+1h6Ql4RKGy8PXaXr/pPqxbHjLyctag15mzfMW9J6OjY2NWLN2LQbut19swx7+\n67UHCru6fyFt2brMijYmUfd5vgH7EySMHH/YfffoD0nWxjBylJaWRmcWGFkQxkAhz/maAYCHNr0l\n29oRyaTXhmxvfel7PtgByT4CcTxai6bEzACAmpqa2MiFdmhaoxG7MjC0hLrAoR2Je0DdYwpTXlpR\ngdzWITSZC8GTpdgeFmHnSVQMAnwWIeCRC2Dbeg4BLz0ZSq5FrbbMi6amptSORes6KZykrYFS7+/I\nDkYenpQwv+3ePeZbsABBn7toG3WZFe1M2pZn1V/ObCZoc0JMDDY1OJyYKhKXZ27oszY1GCC8vOvn\nQt4wZBpAYDAQsswIngJtbRnPf6MSs0JAMMl8+KQBQ5dZ0UFIzxfQcw70UCV74dmUkHsBCbnnawYY\naw8Iy0FpjWwA/qKpELB7JoIVTo9AcNw885GHGllzkFmPeiEV+xT00KQFDF1mhE9d4LADyAIIbWYI\nCOjhS70OQ4ZE9UiG+B0EUAQotKYQAghPQ7CclknORP1ciAVT/3RW6kg7HkXg+Ucz1q/qeDdoDwQY\nDLqAIUxd4LCDyGJCAQkGDxFscRqKsIuwZLNZ08RgjYK1BwYJCygA3ympNQdveNPTDvSZVXvRDqx5\nIfrfowwK7IzUJoaOX8+XkHMXKKSjLnDYwaSdlHxo1ZdHIsR0yGazEQAwMLCZ8Y3163Fbv34xHwSD\ngwUSSXMbLOBgbchzPuqRBzYlWHPgUR15p7f6Z38C/+xWOxyB4lWzuu67KJm6wGEnkKV6a4AQcNDO\nOb2DdWlpKfL5fGz+xJlvvokb+vQxd7zW4GDNeQCK/QyWicH5t1R2IO5j4bKwZiBxnf7aa7ilb9/Y\nOgk5eDakBgQ961Tnyav3LgpTFzjsRNKMK0LL5oalRfAsSHZGisABQF1dXZHmoEEiafakkDXiws5D\nFkJrZiGvRtX+BP514JlvvokrP/c5NDc3RxqCXvsQWiQVAqkuajl1DWV2INI9tCW8PESpNYOfVFfj\nB5s2RfFd3bMnrttnn6IhTf5e0mPAkfS9POmVnSL8ngqve3h2MjY3N+Pb77+Pc//97+jbKz77Wfxx\njz1iS6/1sKYemuQh0S5gCFPaeukChw5GlvruLY7SWoH4IDa88w6+2LdvbD6Fnl9hTbMW8oY05ZvT\nX3sNt/3/7Z1PaFNLFMa/q2YXFy5sGhp9kfwxTZveBIq6ERGty6hUpIKlYN3I44Eg4rYbq110UUV5\nxadQENSV1kVTurR0k4Xpxm76bAqxtgWjQqvyonLewncv08ncm+jLn5v2/ODS5mYmcxyd786cmc8E\ng8rzAgbGPys5z2AMdHlngYiwkM3it717zc8SxcQQBrk9sc3N7IeoJHzOoUGxOiugWvcbA8gQCqOs\ncTJQlXSUhUFMVhrIvgpxxrF9+3b0LizgL59PecBIjFkexPKyQhaHYbcb//z3JUGiOKick2I7dv3H\n/Do8c3A4Vk9w8T15ZiA7M8X6VnkHsT1VvuGPfB6/v3u3IbbR5mb82dysnOLL4qAa8OL/oWAg5i4M\nASln2cDbk+XDy4pNiPwkN+7JSxBxZmD1vvxZVluYYhtG2b9fv0ZrJLJhIMviABT7SMQZhPhTPMmp\nKm+VYOTcwq/By4pNiLwjoBrg4sBSiYidfVtsQ6yj2sX48uXLhrispvuqcw5yHsIoK+6AyHVZFGoP\ni0MDIg4OI/cgD2BxGm61RSkmIlXiIC9JjLzDsNttWqJVSwj5c2RxMH5XDXzVn1H1eUz14WXFJuFn\nzimUuifPHoyf4m6HUU51xkDEaulhlT8whE2uz4JQOTjnsAWxG/BiGVUCUryn2iExyspLGDtRkAe5\nVf5ArisKBItC5eGcwxZEHozyU1h+bdxT5RzEJ7koNOJSxW5LURWPVflSdZn6wOKwCfnZgVXOE9x4\nDRR/fV654lBufCwMzsD2iwlyuRyOHj2KtrY2tLe349atWwCAgYEB+Hw+JBIJJBIJpFIps86NGzcQ\nCoUQiUQwNTVV3egZW1TJQtU9q3MK8nt2W5GlLjsRYRwK2bC8vEyZTIaIiNbW1igcDtPc3BwNDAzQ\n8PBwUflXr16RrutUKBQom81SIBCg79+/F5UDwFeDXpqm0bZt28xL07S6x8TXz13lYjtzaG5uRjwe\nBwC43W60trZiaWkJ+NFCUfnx8XGcO3cOLpcLfr8fwWAQ6XTargmmwVDNRJjNSdnfd7a4uIhMJoND\nhw4BAG7fvg1d19Hf34+PHz8CAN6+fQufz2fW8fl8ppgwmwdeHmwNyhKH9fV1nDlzBiMjI3C73bh0\n6RKy2SxmZ2fh9Xpx5coVy7q8bckwjUlJcfj69Su6u7tx/vx5nDp1CgDQ1NRkbnFdvHjRXDq0tLQg\nl8uZdd+8eYOWlpYqhc4wTDWxFQciQn9/P6LRKC5fvmzeX15eNn9/+vQpYrEYACCZTOLx48coFArI\nZrOYn5/HgQMHqhQ6wzDVxPacw8zMDB4+fIiOjg4kEgkAwODgIB49eoTZ2VlomoZ9+/ZhdHQUABCN\nRnH27FlEo1Hs2LEDd+/e5WUFwzQofHyaYbYY5Q75sncrGIbZWtRFHHRdr0ezDLPlOXLkSNll67Ks\nYBjG+fCygmEYJSwODMMoqbk4TE5OIhKJIBQKYWhoqNbNl8Tv95tbt8YZjffv36OrqwvhcBgnTpww\nj4vXgwsXLsDj8ZhnS0rFV0+XrCpWJzt6rVzITuzfmjimy7ZoVYBv375RIBCgbDZLhUKBdF2nubm5\nWoZQEr/fT/l8fsO9q1ev0tDQEBER3bx5k65du1aP0IiI6MWLF/Ty5Utqb28371nFV65Ltpax/l9H\nbzWxciE7sX+r5ZgWqenMIZ1OIxgMwu/3w+VyoaenB+Pj47UMoSxIytE+f/4cfX19AIC+vj48e/as\nHmEBAA4fPoxdu3ZtuGcVX71dsqpYAec6eq1cyE7s31o4pmsqDktLS9izZ4/52omuTU3TcPz4cXR2\nduLevXsAgNXVVXg8HgCAx+PB6upqPUMswio+p7pkG8HRa7iQDx486Pj+rZZjuqbi0AgnI2dmZpDJ\nZJBKpXDnzh1MT09veN/qC2CcQqn46h17Izh619fX0d3djZGREezcubMoJif1bzUd0zUVB9m1mcvl\nNqiZE/B6vQCA3bt34/Tp00in0/B4PFhZWQHww3TW1NRUzxCLsIrPiS5Zpzt6DRdyb2+v6UJ2av9W\n2zFdU3Ho7OzE/Pw8FhcXUSgU8OTJEySTyVqGYMvnz5+xtrYGAPj06ROmpqYQi8WQTCYxNjYGABgb\nGzP/IpyCVXxOdMk62dFLFi5kJ/avVawV7d9KZ1FLMTExQeFwmAKBAA0ODta6eVsWFhZI13XSdZ3a\n2trM+PL5PB07doxCoRB1dXXRhw8f6hZjT08Peb1ecrlc5PP56MGDB7bxXb9+nQKBAO3fv58mJyfr\nGuv9+/ept7eXYrEYdXR00MmTJ2llZcURsRIRTU9Pk6ZppOs6xeNxisfjlEqlHNm/qlgnJiYq2r98\nfJphGCV8QpJhGCUsDgzDKGFxYBhGCYsDwzBKWBwYhlHC4sAwjBIWB4ZhlLA4MAyj5F8C9siEISTz\n6gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x38d2450>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def generate_grid_points(xs, ys):\n",
" m = np.zeros((len(xs)*len(ys), 2))\n",
" for i in range(len(ys)):\n",
" m[len(xs)*i:len(xs)*(i+1), 0] = xs\n",
" m[len(xs)*i:len(xs)*(i+1), 1] = np.ones((len(xs),)) * ys[i]\n",
" return m"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def warp_image(image, image_shape, from_landmarks, to_landmarks, anchor_borders=True, border_segments=2, interpolation_method='linear'):\n",
" \n",
" if anchor_borders:\n",
" segments = border_segments\n",
" borders = np.zeros((segments * 4, 2))\n",
" borders[segments*0:segments*1, 0] = np.linspace(0, 1, segments, False) * image_shape[0]\n",
" borders[segments*0:segments*1, 1] = 0\n",
" borders[segments*1:segments*2, 0] = image_shape[0]\n",
" borders[segments*1:segments*2, 1] = np.linspace(0, 1, segments, False) * image_shape[1]\n",
" borders[segments*2:segments*3, 0] = (1 - np.linspace(0, 1, segments, False) ) * image_shape[0]\n",
" borders[segments*2:segments*3, 1] = image_shape[1]\n",
" borders[segments*3:segments*4, 0] = 0\n",
" borders[segments*3:segments*4, 1] = (1 - np.linspace(0, 1, segments, False) ) * image_shape[1]\n",
" border_deltas = np.zeros((segments * 4, 2))\n",
" \n",
" grid_points = generate_grid_points(np.arange(image_shape[0]), np.arange(image_shape[1]))\n",
" \n",
" deltas = to_landmarks - from_landmarks\n",
" if anchor_borders:\n",
" interp_points = np.vstack((from_landmarks, borders))\n",
" deltas = np.concatenate((deltas, border_deltas))\n",
" else:\n",
" interp_points = from_landmarks\n",
" deltas = deltas\n",
" \n",
" interp_delta = sp.interpolate.griddata(interp_points,\n",
" deltas,\n",
" grid_points,\n",
" method=interpolation_method,\n",
" fill_value=0)\n",
" \n",
" orig_pixels = grid_points\n",
" disp_pixels = orig_pixels + interp_delta\n",
" warped_image = sp.interpolate.griddata(disp_pixels,\n",
" image,\n",
" orig_pixels,\n",
" method=interpolation_method,\n",
" fill_value=0)\n",
" \n",
" return warped_image"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"warped_image = warp_image(images[0], image_shape,\n",
" landmarks[0], mean_training_landmark,\n",
" anchor_borders=True, border_segments=8,\n",
" interpolation_method='cubic')\n",
"\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(1, 2, 1)\n",
"plt.imshow(images[0].reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.autoscale(False)\n",
"plt.scatter(landmarks[0, :, 0], landmarks[0, :, 1], c='r', marker='+')\n",
"plt.subplot(1, 2, 2)\n",
"plt.imshow(warped_image.reshape(image_shape), cmap=cm.gray, vmin=0, vmax=255)\n",
"plt.autoscale(False)\n",
"plt.scatter(mean_training_landmark[:, 0], mean_training_landmark[:, 1], c='r', marker='+')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TJgVAgevs2WzW30VD8AuHw0gkEiguLkZnZyemrViBHYsX5yheQFCSV8WGaR/Pm2S96IC3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\n9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OY47ldV5xIH7yetI0X7KemQ5q3iSwp8NkYdYo9qat7JkXDs0zZR3E1PQh5MOSTQdXp6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DRUUFamtrUVtbi2RyYMmYiRMnoqKiAmPHjsWoUaPK1pFzGXjqcWbwteYlj4tLMp6orKxEKpUK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\n",
"text": [
"<matplotlib.figure.Figure at 0x38d4790>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"warped_images = np.zeros(images.shape)\n",
"for i in range(num_of_samples):\n",
" warped_images[i] = warp_image(images[i], image_shape,\n",
" landmarks[i], mean_training_landmark,\n",
" anchor_borders=True, border_segments=8,\n",
" interpolation_method='cubic')\n",
"np.save('warped_images_cache.npy', warped_images) # save images so you don't have to warp them everytime you run it"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "KeyboardInterrupt",
"evalue": "",
"output_type": "pyerr",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m<ipython-input-17-41c3c7215527>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mlandmarks\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmean_training_landmark\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0manchor_borders\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mborder_segments\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m8\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 6\u001b[1;33m interpolation_method='cubic')\n\u001b[0m\u001b[0;32m 7\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msave\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'warped_images_cache.npy'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwarped_images\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;31m# save images so you don't have to warp them everytime you run it\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32m<ipython-input-15-3e1b3c78a788>\u001b[0m in \u001b[0;36mwarp_image\u001b[1;34m(image, image_shape, from_landmarks, to_landmarks, anchor_borders, border_segments, interpolation_method)\u001b[0m\n\u001b[0;32m 36\u001b[0m \u001b[0morig_pixels\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 37\u001b[0m \u001b[0mmethod\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0minterpolation_method\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 38\u001b[1;33m fill_value=0)\n\u001b[0m\u001b[0;32m 39\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 40\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mwarped_image\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32m/usr/local/lib/python2.7/dist-packages/scipy/interpolate/ndgriddata.pyc\u001b[0m in \u001b[0;36mgriddata\u001b[1;34m(points, values, xi, method, fill_value)\u001b[0m\n\u001b[0;32m 190\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mxi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 191\u001b[0m \u001b[1;32melif\u001b[0m \u001b[0mmethod\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'cubic'\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mndim\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 192\u001b[1;33m \u001b[0mip\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mCloughTocher2DInterpolator\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpoints\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mvalues\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfill_value\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mfill_value\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 193\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mxi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 194\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mKeyboardInterrupt\u001b[0m: "
]
}
],
"prompt_number": 17
}
],
"metadata": {}
}
]
}
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