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@jingxiang714
Created March 16, 2016 03:04
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MAT 201A Winter 2016\n",
"## Final Project\n",
"### Imitate Andy Warhol's _Untitled from Marilyn Monroe_ Pop Art Painting Effect\n",
"#### _Jingxiang Liu_"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"from __future__ import print_function\n",
"from __future__ import division"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** The Original Portrait of Marilyn Monroe and the information of this image: **"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(292L, 283L, 3L)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CS9es9PmE5UooXT5gLoB5jMSxubHwazGxjhTKDIWkifj7KgvsaCBvufJwfxh1FKUoCtVq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\npw8++EAHBwdtAoKFYi6uXLmiG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ZI/9rGP5flHuICHl39HenXhUKJRt4Sddvz3bhasQ999\negDkI8O7+e/nlSBe48eitOW3SAic6+N4MAmzj26qpOW2t1u99WAGSlyJkh84cKBYPuor3XyxiUfv\nebn49e6PO37klatqp+mkzwHPxL1c8/t7iMEhTFsY1s10Z1o0tpvwzshxtR3mPIIiBk+5t1tbUucu\nsSWCd5fIacqtAqro2OPPfXvWR2DZLS4uZsE7MzOTTXcCf4uLi7nklug/NRYl/Eo06QrKcS69Q671\nOYmW7r5l+iiRosZ3M9MfvuSzlMYpTZSPWRq/hJszAozmk83iC6LNKaVclbWyspKruaQdy8F3NaEP\nnUf9achB5RzgqR/Hn2OsAaAs2PeiQ1NEARqFrM+XB+N4Psx5GNaZ1gtlYgMMdxEoePHzoy+LMPN3\n4pYOx/y5wOX+/ftZg+Mi4cPD/DQhpe8g43zwwQc5g0ME3103z5xMT09rbGxMp06d0tTUVE7RSjur\nJqFXd2e7uaElH9+fOdKCP3s3ARGh7+a9vzwPWPixKBkdSg/ox6IEdeaO6Z/oJ3M+WhOiO3ToUC7J\npCEixR0syGE8cs3NZjPXeJO/Z180ItaMD8NiWhKIihVdMKBvmummMpoA/GIdQ6zCcwuJYzA2zIs5\n70IApo6MLmlXcQ71DJ4KjTX3MKnXLYBTySz2+E9M/0Um8QaVMCgRdoQEOfatrS0tLS3pyJEjeXku\nx3k2Go/Mz8/nFtrQW0yHOt07jUWz3d+R02wUyPzGu4tZsG7QV6aPwRVeqrS7cq6b9IqCoOQbud/q\n47rfXhIOccKZ4JRSXlJ79+5dra+vd+zoivbGx6zX61mY0WsegvEWXCwQcR8QokbwwOhSZ2YBs96J\njutZOOTxgqjlnXFgeK+Gi9qe8lQP6lF379VznrpzgRAJnnfFeJGIncCjCQzuXlcQzWOvvqvVarke\n34Xh0NBQx3ZTW1tbmp2dzUIAgQVz08hkfX1dq6urOXjo9Q+8E3BxGmeunemdnv19RJr335y+e5n1\nwL7R9I501O4lKeaEy3lx7NJ9/Df/739+D2eKZnMnz4omgiAk5Z1u0dIQD2OhKfAHJendd9/VwsJC\nZhKCXD4fBAR9rjzqjOZxAnLGx7Qmf++pPDen8bFhXhpnwsQEKhEIbqJzvf+55RHTdz63MT3n1XlR\nQEXz1xWDt8T2+fF36TECGm24G4AFRDusubk53bx5MwsEGmWwnfnS0pKuX7+u4eFhzc7OdiibmA1C\nYJf8escz0mYpqxLp1unbLbYS9D2Q5xIwMqH/xrml/5HBI0RGlroX6fj3ki/mi2CknU4yjUZDR44c\n0fr6upaWljq2NPZmi9PT03kZ7MbGhlJqrfiC2ScnJzMOHlH3Pc25t2tMF5gxCg9jUpXmggsfFi2+\nubmZGR0B4BH5qOk9xeZBPEx4z+O7uR3nP2qsyKT+bqImdTrxFKgzV0opC2J2+HGNPzExIWmnmInF\nOc1mU/Pz87p+/brGxsZ05MgRjY6O6qMf/agk6Y033tCVK1d07do1ffzjH9fx48c7cOZzDJr6OZFJ\nI/1Hjd9NoUXLthv0XdNHae/HS36NtNsXippN6pzIOFndNEap6IHrY/R4eHg4t0ba2trZGWVzc1ON\nRkN37tzJi0jQxESIb9++nXeInZyczEtAMQ3Rkm7SokkheBgRywGIKbySQHAXAF/cF76QZXCm9t/d\n1Ccij4bmXHZpZa6i+RrfqVcOSurQurgPXnvAcWdyGMsrKGnd7WsT+I4AYems91Dgnvfv39fJkydz\ng9STJ09KUt45eH5+Xmtra3r//fd18eJF1Wq1vMNQtChLtBUhmvJcH+k1KkTPekUXIkLfNb37Z54a\n43+3iCfgBCx1tr8qCQvPX3P/KBVLTC7tLOhwhqT4g2AZ66thdme8ra0tLS8v5zXeKSVtbGxocnJS\nKysrWlhYUFVVuQIs+mh0vsU3x1x3YRUtJ38GgnsuSCTtitB7BNyZ3uvKvUEGY927dy+b/dEKYR5i\nMJLSYD/uAjtqTK9DJ5vCM1E8I7U2HGk0GqrX6zkQOjo6moOpvC8Esc+lu3Jod3L0/Hbv3r2c6qvX\n69rY2MiZGt6F04lnXZxB/fkiQ0e6jC4Pc+W8FN2HEvR9WyupM7/u3/1z1Ar85vXnDj7hPlYs8Cjd\nIwaQYhCvlAMnEEdrbGcsD4odPHhQExMTuSpta6u1ScK1a9fyPnN37tzRY489lv1nmAIG4RlK1Xsx\n3YVlQOoOJoxltTHY5uvgYXrMes/xwwBod6+xd4Hk78XN+Bi89fM8LYp5zvPyrAhiXBQEAa2p6/V6\n1t7O6F6N52O5deEBwrm5OV24cEGLi4uanp7OtQ48x/3791Wr1XatA3Bai7GpyPAluo9jgVcMgEeG\n7xXJ31d5ekeWh4qBH2m3mS515iz5zc9xTRGtA66Ppq/fFzziklUKaGACZyw/b3R0VI1GQ9vb21pe\nXtZ7772nhYUFLSwsqFarZcLc3m712nczHQ2MJYFmiv4quX5fVOMaLAow98Xdb3cNn9LORpTNZjNX\nHPJucAdwZWBWtzhKtQ2M51aZvwvXhnz3P+aA+fcKR9ZBTE9P53oJ5okIvncUIoXnTOnC/NChQ5qZ\nmVGtVtPt27c1Pj6uAwcO5M7ES0tLubMw6/bdleqldZkDv2/02Z0/ShaQQy9fHug70/PfGZZjztwl\n6eVpJn4rWQslaVianGhWumCI1znuLnDQ+GhntD/E6d1dhoaGclknjAGeP/vZz3IEnfhANE/dNfIi\nFLQ2zxQX3kidy1qd6V3DMz7aH43GmNvb2zko6eZ56d0hAEqM7L+5QOP+/mzcA81MINXfIQtt6vV6\nXvwCPgTo/K/UfwCrCoE6Pj6u2dlZXb16VSm1iq/YN3B4eFinTp3SyZMnd9VU9Mqfu0KKNFlKv0Xh\n4PMJlNzCCH336R1K5k035pJ2V+H18mVKE++TjlSOEInXhYITsxMxhIIm4XzcgrGxMTWbTc3NzeXc\n/KVLlzKz0bxhbW1Nd+7cyT3rDx8+nOvKiQn48tCIU7cAEPi4NSF1FtI4c5Kq8yWpnuZj7qN1FIV1\njMs403PMtbe0w9xegsxze+rULbFGo6FaraaJiYm845BrXoJ6cUzoxJ8By2VkZERHjx7VlStXtLy8\nrHq9nttbHz16VKdOncobfDp9lNzTSFvd/vt5JXPf57TE+N2g7z69S/SoieK50UR1IYBk9VRONOGd\nMP1YFCIlLRWJ18drNneqyGDCGCHGjAa/sbGxrEnYWJJAEdFknnt1dTW30ybdxBpxGEJSh3bHuvFg\nYrSC3CXh/FiwhD+PWc/YsY4+Ep7PHe8mCnB3xVzTSuqYTyLuMYgXhRqdhNh1hmW1VNHh8nh3IZ8T\nFwDk1H2OECTM6fT0dN7wolardcxd7FNQ8tsdIl36tU5zTqtRiEbe6AZ9X08fkfeqMZfOsdBC6gy8\nxViAE5YTJJohSnfGiwxektbRBUBjwLDuI0acAL9ucnIyd1khZccL9/pzTHF2s6GazIM6Lhi5xgWm\nzwXXuXbld4jeTX5nCDchndjiuLxHD7hG6wgide3tzOk189E683FYWUfjy9HR0bz5pi/i8YYlfl8f\nl+fyoN7IyIjm5ub09ttva3NzU+Pj4x39EkrWaUmhlFyteH4UoE7LDqWYgQvUEvQ9T++MW0I+SmLX\nrFJnf/cIbrrG4JKfHxmb8ZyQ47l+HtrIo8NRUPhLcE2AdiC15AtUiNjDfMQEqqrKsQDv/OpCzOdH\n6uxdwDngh4b3a7zc1eczFplEweZCPNZe9Fr5524KzAhDMb/RPybg6JaC1Nprjs45o6Oj2dIhOMnY\nXoUXcefduAY9ePCgJicnlVLK3XNi7QDXU8/fjS4j0/eyAPw/c9fNaihZuBH6rumlcm19PBZ/jxPn\nzAiUPrvfG31PjrmZ5ias+5IufKjhdlMbHB1/CCOakCMjI3mll+e/GSNaK1W1s5cbu+nGdlp+LkLG\nCdzjAFHARGspzn/0ed1CikKO82Jxjc+Huynuv3sFoXf5YVzcF0x7hBbujzcl5fndcoylurxzdxkj\nnY6Pj2t8fDwzPc9beu9xnrpBtBD4HN2mkm/Pcf/cS8tL+6BzTvRLAJeQJekFw5XGKPnkfozoumsf\ntwjcxYiBGcfPGy7GxSyc41FpfvPc+/Bwa0tqCkm8GCZqStc8HnwjZeUCxUtVYQ5w4vo4p14bHqvc\n/P308k2jkIgC1QOeXhTDf/6ipo+WUdTOWFhDQ0PZl/dYhd/X7+9FWhHPbkqnXq/nFue0O/Nr3RIt\nXd/NHy89V7cx4vxHi6Db+5H2ScouIurmaYnhYdKSNRDHhAj9JZYEAee5NvRjPp4H6yDK0vM4TuAL\nk5Leo98eEWfvQBP9wVINgrssjOnXuJZ0Yo5jd7OaSpZDKTDYzXUAnNlcKCE0cVMQughVL5hBo7s7\n4rEImHxsbCz794wH46PxHaKicAXA8/pS3ImJibyybnJycpd71CuI1otO3AUtWaQlN8C/R+uqG/SV\n6V999VV9+tOfLgbb3Fd0DeETHAkwEptrWX+BaPuSGStJr7zyip599tn8G2OhfUidud/vGgJt5McY\nwzU2furBgwdVq9U0Pj7esZsK1oDjDmFEUxnwc9xMdcKOQdH4PZqjJevAXYn19XXV6/V8bSRq98f9\nGAyPKc59nOm9uYjPIxV4zAVMn1Lq2Mbr5Zdf1nPPPadmc2eVIeO6ACiZ4NQi8Bu4TkxM6P33388b\nhw4NDXVofToq+XuItHn+/Hk9++yzuxSPMzrz7L9HN7UkEB7E9A+36v5Dgtdff32XmRe7jfiDRdM1\npl6i1vcAF2N5xNarulwDvfbaax0+sGsbgkRRM3K9a3IPJErKFW8wPMxA51aqxMbHx3PaiRbOrq2i\nxmKuuF80qcExBq64tmQ2ursidQo9rzpsNptaX1+X1Jnmgwk95w4j05qa4hkKjvjNj1GFSG0C2taD\nmJQ+g9/s7Gxm+nPnzmV6iWW3JX+e/x53cKGDQGGfQuoa4upLn+8Yt6iqSufPn++wYFw5uaBwQeDf\nPTsEfs4/vaDvxTm9AhwOnq6I/30s/63kiwLOqAgZ96Gj9kcreZcax8GtFGf0GOhy3x4hAbHSc53x\nMCuHh4fzZgtxfIeSdC/NkT9ztzmL5/O5lDYq4eG4QJS+E483nEDoUi3nwsmZBogRd/oXpNTaVrxe\nr2cmcJydYbppwlLsqLQCcHR0VBsbG1pdXc0BWJpr+ByULB9n7JK2Lr2H0hz3+t7r+n2RsnNp1uvc\nXt+l3sELv1+8Zyl441aGr0VHUvt13fBw8xp8ud6Xq7IdFq2zvQ8dODabrW48npcvQdTipefnPNcg\nMeXmVW7+nKU8MsdLlo9rId+FxwNvMLZbP66J0dJuQXgq0zXf9PR0ro13Ye7vOGrC6Fs7xDgEQqpW\nq2llZSV3SKKDbjTje70Pvwfjx/jNg5g/xrq4Z7RiHNLDatr/b0gp9efGAxjAIwRVVe3SSn1j+gEM\nYAD9gb4G8gYwgAHsPQyYfgADeMSgL0yfUvpsSunNlNLbKaUv9gMHw+VqSum/UkoXUkqvtY81Uko/\nSCm9lVL655TS5B7h8jcppYWU0o/sWFdcUkpfTildTildSil9Zo/x+kpK6b2U0n+2/z7bB7zmU0r/\nllJ6I6X045TSH7SP93XOCnj9fvt43+dMUmdEey/+1BI0/y3pcUkHJf1Q0um9xsPw+R9JjXDsLyX9\nSfvzFyX9xR7h8pykpyX96EG4SDoj6YJaGZgn2nOa9hCvr0j6o8K5v7CHeM1Kerr9uSbpLUmn+z1n\nPfDq+5xVVdUXTf8pSZerqrpWVdV9Sd+W9Hwf8ACSdls8z0v6ZvvzNyX96l4gUlXVv0tafkhcfkXS\nt6uq2qqq6qqky2rN7V7hJbXmLsLze4jXzaqqftj+vC7pkqR59XnOuuD1kfbPfZ0zqT/m/UckvWvf\n39POhPQDKkn/klJ6PaX0hfaxY1VVLUitFyhppm/YSTNdcInzeF17P48vpJR+mFL6azOh+4JXSukJ\ntayRV9T9/e05bobXq+1DfZ+zQSBPOltV1S9K+mVJv5dS+iW1BIHDfspr7hdcXpL0VFVVT0u6KenF\nfiGSUqpJ+o6kP2xr1n3x/gp47Ys56wfTX5d00r7Pt4/1Baqq+t/2/0VJ31XLrFpIKR2TpJTSrKRb\n/cKvBy7XJZ2w8/Z0HquqWqzaDqmkr2vHHN1TvFJKw2ox1reqqvpe+3Df56yE136Zs34w/euSTqWU\nHk8pHZL0eUnf7wMeSimNtaWxUkrjkj4j6cdtfH6rfdpvSvpecYAPCS11+n3dcPm+pM+nlA6llJ6U\ndErSa3uFV5uZgM9J+kmf8PqGpItVVX3Nju2HOduF176Zsw8rQviA6OZn1YpoXpb0pX7g0MbjSbWy\nBxfUYvYvtY9PS/rXNo4/kDS1R/j8vaQbkj6Q9I6k35bU6IaLpC+rFem9JOkze4zX30r6UXv+vquW\nH73XeJ2VtG3v8D/btNX1/e0Fbj3w6vucVVU1KMMdwAAeNRgE8gYwgEcMBkw/gAE8YjBg+gEM4BGD\nAdMPYACPGAyYfgADeMRgwPQDGMAjBgOmH8AAHjEYMP0ABvCIwf8B86utStSRFA4AAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbb9c0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"portrait = imread('Marilyn_Portrait.jpg')\n",
"imshow(portrait)\n",
"title('Marilyn Portrait Photo Portrait')\n",
"portrait.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** The Original _Untitled from Marilyn Monroe_ in MoMA **"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0xc523cf8>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RBc+4nrE5GyPeEo2QjKGrNcH1EGu4ulinGy7Q0JBMIJmI2rTzY6QBG0g2kEwA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\nFnOqJTijMvaHk5wbr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eD6vEHLbIHt0Q0ynmpd5MJCRjtzeFngvWDfSHLPMzlTlxRkDiMj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\nTtGjI3FJWUQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbae4b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"AW_MoMA = imread('MoMA.jpg')\n",
"imshow(AW_MoMA)\n",
"title('Untitled from Marilyn Monroe')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 1. Turn the portrait into a one-layer grayscale image by forming a weighted sum of the R, G, and B layers, and binarize the image. **"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xc86f2e8>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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vGEIIKHuejrARJuD29rbW1tas1DUNryYEOhqWNxUZT7RgSRZnxWYj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QVls9kB8SrP6kGb0Hkfj3reKIr+ts6aXv+PcRz/D1EU5SX9n5IuqN/V7K/Fcdz4NOf/3OuBeUJa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\nL315YuX/A+Ctix60Pn1VAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc4fd3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"portrait_gray = 0.2989 * portrait[:, :, 0] + 0.5870 * portrait[:, :, 1] + 0.1140 * portrait[:, :, 2]\n",
"imshow(portrait_gray, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0xcb1e4e0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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cv3/fKeUXLVqUM2fOMHz4cObNm8fVq1f5559/HH6ZevTowTfffGPy/MOHD/nrr78ASE5O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\nh3LhwgVOnDjB/v37qVmzJqBp1QcGBrJ7926jzgW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DfpVDa1q1asXq1at1rbBAn+GWDaVl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\n4t96BskAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xcafb048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"med = median(portrait_gray)\n",
"thld = 0.65 * med\n",
"portrait_bi = where(portrait_gray > thld, 1, 0)\n",
"imshow(portrait_bi, cmap = cm.gray)\n",
"colorbar()\n",
"title('Marilyn Portrait Photo Portrait - Binarized')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 2. Create patterns to color different parts. The patterns were drew using _Paint_ on the original photo portrait. **\n",
"\n",
"From observation, there are 4 different color patterns used when create the painting:\n",
"1. Hair\n",
"2. Face and neck\n",
"3. Lip and right-hand side shadow\n",
"4. Eyeshadow, beauty spot, and background"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xd0353c8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wer3Mzs5ywQUXYLPZVJZ+amoKp9PJxMQEDoeDlpYWxUDYuXMnzz//PF6vV7UJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc518550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Background = imread('Background.jpg')\n",
"Face = imread('Face and neck.jpg')\n",
"Hair = imread('Hair.jpg')\n",
"Lip = imread('Lip and shadow.jpg')\n",
"\n",
"title('Patterns')\n",
"subplot(141)\n",
"imshow(Background)\n",
"subplot(142)\n",
"imshow(Face)\n",
"subplot(143)\n",
"imshow(Hair)\n",
"subplot(144)\n",
"imshow(Lip)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 3. Only keep the pattern draw in red and binarize the patterns **"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xe55d6a0>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mp+cRy6IskJLRVYiZcGmiaxKCZrtWyBj1ryO2F7xwOzGrPltHK0TOFv/AxHUK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D0YWwb9i2B+uPTsyeWruWOmngQqs+zpVzj99hsTrC8a+nN+DaTox7kiOJ8Zp/wY8rPgkw1R3xpL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\nCxb/H0Eho6zvk7hhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xce37a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Start trying from the first pattern\n",
"P1 = Background - portrait\n",
"P1_g = 0.2989 * P1[:, :, 0] + 0.5870 * P1[:, :, 1] + 0.1140 * P1[:, :, 2]\n",
"\n",
"imshow(P1_g)\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xe96fe80>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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F2tPK48iRI2jdujV27NiBcuXKmTw0O3jwoJ7AioiIAKD2424JgTV16lQAauXLzMxMk3/l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\npeAyWi644EKVwv8HhpHlMKr7BekAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc4fd518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thld = 30\n",
"P1_b = where(P1_g > thld, 1, 0)\n",
"imshow(P1_b, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As can be seen, the generated pattern contains salt and pepper noise. Tp remove such noise, use a median filter to remove it."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import scipy.ndimage as ndimage"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1bbe00b8>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zwDvZxqaKShcUKkYCU0caIQQSiQQ8Hk9GsF4ymcS5c+cMgRnMKSxatAg1NTUA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\nmJ51ghH2FgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xed45ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"P1_g_m = ndimage.median_filter(P1_g,4)\n",
"imshow(P1_g_m, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1c068780>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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PInjvvvuu3/bPPvssderUiUZoxoTNZZddxq5du5wOA3DnjPiY6mmVKlWKRYsW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\ntIwxMcWSljEmpljSMsbEFEtaxpiY8v8Bu86zFz0UlX8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1bc3a5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"thld = 30\n",
"P1_b_m = where(P1_g_m > thld, 1, 0)\n",
"imshow(P1_b_m, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Likewise, generate the other three binary patterns follow the same procedure."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def bi_pattern(pattern, original):\n",
" P = pattern - original\n",
" P_g = 0.2989 * P[:, :, 0] + 0.5870 * P[:, :, 1] + 0.1140 * P[:, :, 2]\n",
" P_g_m = ndimage.median_filter(P_g,4)\n",
" thld = 30\n",
" P_b = where(P_g_m > thld, 1, 0)\n",
" return P_b"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xdf0fbe0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bzoTT1q1bU58hi4jPf/7zorUP7bvJFoS4TpQGrb+dY8eO8Z133smjRo3i6667zi1fIdpm\nulkIztO9z/baaYpcDKDM/JwP40IogbH49CJzu9MCvp7Be/wcSXVDRN3o7e3tfMMNN3BTUxMvWrSI\nly9fbu1PWdt0Lo6NGzemfIFHhQTdQ/uuk82YMcOz/q+99ppyX/PywVQ4efIk79q1y69dhGmbySbD\nf5N166Kh107HA4x3e+8CsA/me6gwOv595ufkX49tgsOvx/wcSXVDRGnWxTF9+nTesmULjxgxwr42\nZ8rapnNxxLlTz8vLE35hhPVdN3P7TYPFkCFDlPubixah8MlXqLaZahZf//rXhfqum6U0pk5EX4AR\nhncbjA69DUYJpwAMMJPp4D0pMmbMGBARtm3bhltvvRVtbW2JX09Gre3UqVNFZieUCxcuCM9TtL4N\nDQ2e+2fNmpVKdrHGHkvdCd0vdCWqeYfAy9kRUT6A/wbwJDOfd3j1KPl/X2pqahKfJ0yYgAkTJqSa\nRVbR1taG5557DpcuXeqiDUJoq0kJYfqWlZV5duzV1dXJbRsLwixr19jYGCSZ9t2o8bqNtz0S5cII\nwvOkbVsTug6/NLk8ZjkG70HARz7E4PEpKsvJyWFm5pKSkuThl5S0TfcxNq6I1pvT8F0va29v9zyP\n3Nxc5b6WbtsHzE+4tplmyb/WnTdvnqh2Snv4ZQ2Avcy8yrZtA4BHzM/fA/C6bbuw4D3f+MY3wh6a\ncUyePBkAMG3aNLz88svWZmnaZhJWsDMJCNe3oKAAxcXFrvsfeeSRENWMhiA/kPI6tyS07yaxYoX8\naMS+wy9EdBuAhwA0EtEuGN8Uz8B4+2U9ET0G4AiAmQDAzHuJaD2AvQCuAJht3RKFYcOGDUp+iWdV\nOaqy+/fvj5MnT2Lz5s1YvHgxZs6cae2aBEnaurF69Wr84Ac/EJ1t7CCi/ZDku3EOaeCH3edzcnK6\nDIu2tbWlcm6R+64GSPntF1GGFB71Unjcy0jzOud09A1rL730UkptEwWSdJeurROPP/64cp+LyK8j\n9VsRtmDBAn7++ed5xowZojToxurVq6Vqqzt1hTZ79mzfc05HX9HOqBIZ+nME2m7bti2y84mbydY2\nrM2dOzew3z366KPpatCNPXv2SNVWd+qK7M477wx0zunoK9oZVSKjDTgibaM6n7hZFNqmYsuWLQvt\nf2EnOGX5s5eGsYzS6MTrr7/uGv0u0wh63iqiNFqo8gsnOjo60Lt3b+H5RqWtk5ZxjtgoijD6yozS\nmK5Ph2kztzLTbX8vbX3ffiGiwUT0NhF9SESNRDTH3F5NRMeJaKdpU2zHLCGig0TURET3pFX7LGLd\nunVdGvn48eOYOHEibrzxRpSWluJnP/sZAGOh68GDBwMAVGn79NNPy8o6Zfr37y8lX5W+e/nyZVlZ\nxwbdLygiwOOQW+yXagDzHNKPhIDYLzIeWVRbMvb4GfbYLzU1NbxixYpuj1lBtbX0FV1fVUhsj9C+\nG9R+9KMfRX5ecTHZ2oasU6R+KKvtk3Wzm++dOjOfYuYG8/N5GD86sn7e6/QIMB3AOmbuYOYWGFHZ\nyv3KyXba29u7bSsuLkZZWRkAID8/HyNHjkRraysAuD22aW3lIlzfpUuXiqhXNhAL362urg51XCYN\nl4WN/fI3c9MPiaiBiH5FRIXmNmkxHs6cOSMim8jJz89Hfn6+Z5qWlhY0NDRg/PjxAIAXXngBABCV\ntj2RqHw37ssEyiKOvvvTn/40pfTLli3LqA4dSKFTT479AuBFAF9k5jIApwBI/6nUtddeG6sJvKCc\nP38eFy9e9NxfUVGBVatWIT8/H7Nnz0Zzc7O1OxJtndixY4eKYiMjKt9tampy7Bgy0ZdTRJnvekFE\njk/Odg4dOgQiwpIlSyKqlTgCBfQiolwYHfpaZn4dAJj5tC3JfwL4H/NzK4Ahtn2DzW3dCBvQa+bM\nmVi/fn2gtHEhLy/P8SLu6OhARUUFqqqqUFhY6BTsKZS2IigvL+8JHU9k+joFzRo+fDg++ugjUUXE\nDWW+60e/fv0AAE888QTmzJmT2F5RUYE9e/YIKWPBggVC8kkZrwF32+RFHYCVSduKbZ+fAvB787MV\nDL8PgOshcKJU5ESDCnOiqqqKn3rqqS7bTp48aT/HlLW19BVhX/3qV9NqJxFIbI/QvivSB1T7pUSL\nVNu42YIFC6T5dLJuXTT02mmKfBuAfwFoMBtlJ4ApMDr63eb212BGbDSPWWI2WsrL2QWloqJCeaMF\nsb179yb+JvPuu+9yr169+KabbuKysjIeM2YMb9q0iauqqri0tNTKI2VtRV8cKtm8ebPM9gntu2Ht\n/fffdzxP1X4qySLVNm6mqlPPmB8fJbNz506MGzdOYI3kkM45qvzxkZ2rrrpKZpRET958801MmTLF\nP2EIVGnr5hOZNiHnRxh9Zf74KGq8rv2//vWvuO2229LJO/yPj+LK2LFjVVchENlwoV6+fBlEhGee\neUZ1VbICtwloVTdYmuj52te+Ji3vjO3UASQeNyorK1FZWWl/hIsVBQUFqqsghGeffRYnT55UXY2M\np7y8HGvXrlVdDU2WkrHDLz55S8k3HcKca1yGX5KJ0meycfglme3bt+OWW27B0aNHMWzYMJFZK0UP\nv3ifSnt7e+ItnBB5Z8fwS319veoqCCUbzifVc0g1vawOPU6Ul5eDiLKqQ9cYePm7rCd43alHREtL\nS7dtmXw+FrI7dY0mk1Hh7xnVqWcylZWVqqug0WhiRlFRkfA8s7JT/81vfqO6Ct147733VFchI9m8\nebPqKmg00rj66quF56l0olRJwRlGXCbzshGtrVx6+kSpTLy0VdapazQajUY8WTn8otFoND0V3alr\nNBpNNuEVGEaWwQgItg/AAQCLPdK1APgHjEBi281t1wD4E4xl9d6EEVisDcBu23HJaQqTggqdA9AB\noNm2vRrAcRgBy3YCmGLb9yyAiwAuAzgMYG6AcpKPmROgnCUwVoTxDNaltVWjbVB9Y6TtElOfC2ad\nGuOsbxBtY6ZvLH1XRYfeC0aktmEAesOIlFfikrYZwDVJ25YDWGR+XgzgtzBWY9rtkWaZ+dkK/3kH\ngKmmsNa8QjXc11xtBDAOxtqKH+GzdVq9ynE7xqucQOuPam2j1zYVfWOk7S4YqwtNNettX2M4VvoG\n1TZm+sbSd1UMv5QDOMjMR5j5CoB1MNYvdILQfYhoOoBXzM+vALgZwP/5pLnf/DwNxjqJWwF8CKPx\n7Oskuq25+ltm/oCNtRUPwFjRZbBPOU7HyF7bVWsrd93coPrGRdt1zNzKzBthnPONMO724qiv9l1B\n2qro1JPXKjwO97UKGcAWItpBRI+b24qYuQ0AmPkUgAEOxw1wSZNcdkdS2UHWXD0H49tzm0dd3I6R\nvbar1lbuurlB9Y2jtq0w7lzLEE99te8K0jbuE6W3MfNYGI9ETxDRf8BoUDvJ/zsRJI3vmqvmOq2T\nAPyajXVafevicEzka7u6oLWVR6y0NckFsBCfrTGs9c1S31XRqbcCGGr733WtQmY+af49DWMVlXIA\nbURUBABEVAzgY4dD3dIkr5PY2yqbmU+zOYgFY23FcvsxtnVa/9esi285Tsf4lRNEFw+0tvK0tfLx\n1TdO2pp55QK4D8AGNtcY9itL+27m+q6KTn0HgC8R0TAi6gPgQQAbkhMRUV/z2wxElAfgHhiTDBsA\nPGIm+x6A12GMRdnHo5zSWNsfNMsdAmO9xO1mGcW2478JYI/9GAAvw3gk7G0d41eO0zF+5RBRHyK6\nHsCXbOUERWvrUU6a2gIB9I2btuYx62Hcqc8PWha072au73rNosoyGK8u7Ycx6P+0S5rr8dm6qI1W\nOgDXAnjLPP5PAF4FcALG5MZRAI/CeKXInqa/Ld8lANoBXAHwqe0YrzVXV8N4hLoEY/bZWqc1uS79\nAxyT1tquWlt12gbRN2baLoHReTCMNy3sawzHTl8/bWOobyx9V4cJ0Gg0miwi7hOlGo1Go0kB3alr\nNBpNFqE7dY1Go8kidKeu0Wg0WYTu1DUajSaL0J26RqPRZBG6U9doNJosQnfqGo1Gk0X8P/uKQLWM\njaanAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1bd96fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"P1 = P1_b_m\n",
"P2 = bi_pattern(Face, portrait)\n",
"P3 = bi_pattern(Hair, portrait)\n",
"P4 = bi_pattern(Lip, portrait)\n",
"\n",
"subplot(141)\n",
"imshow(P1, cmap = cm.gray)\n",
"subplot(142)\n",
"imshow(P2, cmap = cm.gray)\n",
"subplot(143)\n",
"imshow(P3, cmap = cm.gray)\n",
"subplot(144)\n",
"imshow(P4, cmap = cm.gray)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 4. Fill the patterns with different random colors. **"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Start trying from Pattern 1\n",
"from random import randint"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1d4f4b00>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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iz45X51VR4SlnU/n6WItlLC36OBS5ilhdspLTA+fmnlnZ3oOL7o1MXxi8FJle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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c7d3ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"color = np.random.randint(0, 255, size=3)\n",
"R = color[0]\n",
"G = color[1]\n",
"B = color[2]\n",
"\n",
"P1_gray = 255 * uint8(P1)\n",
"\n",
"P1_R = P1_gray * R\n",
"P1_G = P1_gray * G\n",
"P1_B = P1_gray * B\n",
"\n",
"r, c = P1_gray.shape\n",
"P1_c = zeros((r, c, 3), 'uint8')\n",
"\n",
"P1_c[:, :, 0] = P1_R\n",
"P1_c[:, :, 1] = P1_G\n",
"P1_c[:, :, 2] = P1_B\n",
"\n",
"imshow(P1_c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Follow the same strategy, generated 4 colored patterns"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def color_pattern(pattern):\n",
" color = np.random.randint(0, 255, size=3)\n",
" R = color[0]\n",
" G = color[1]\n",
" B = color[2]\n",
"\n",
" P_gray = 255 * uint8(pattern)\n",
"\n",
" P_R = P_gray * R\n",
" P_G = P_gray * G\n",
" P_B = P_gray * B\n",
"\n",
" r, c = P_gray.shape\n",
" P_c = zeros((r, c, 3), 'uint8')\n",
"\n",
" P_c[:, :, 0] = P_R\n",
" P_c[:, :, 1] = P_G\n",
" P_c[:, :, 2] = P_B\n",
"\n",
" return P_c"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1da2d0b8>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0xe614588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"P1_c = color_pattern(P1)\n",
"P2_c = color_pattern(P2)\n",
"P3_c = color_pattern(P3)\n",
"P4_c = color_pattern(P4)\n",
"\n",
"subplot(141)\n",
"imshow(P1_c)\n",
"subplot(142)\n",
"imshow(P2_c)\n",
"subplot(143)\n",
"imshow(P3_c)\n",
"subplot(144)\n",
"imshow(P4_c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 5. Add the colored patterns and the binary portrait to generate the painting effect image. **"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1def6b38>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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oZM58cehuffmU6DvIq0hlbqzumCuhm/Kkt0WQVwj3zn7YIn3dcXYsCjsVh/ql\nArCvSfaUtMfLDeoGbDb0mCtY1Hqa6+mp/Qmscm9cZlzlZPy1gphVpk9cymT57EhYS6W8iFFhCxgX\noZs2j49YgrujH3a29pzK2MqosPY5M8XnHqBCXoSPSwj9A8eb3a7BOOpM5g4Op/6Ava0jNYpyPJ0D\nDcy4I159jd3nzTMr7wy9Tul9XKsIcK/g47hXDMoPpuiOiMpkeUROG0ls8JSeEA/QxY0fFDyFBdMs\nmy9PqpYwO0V3fNW/MIAMrxK2DYxvUc+YkgM8dHia/n2fyu7JMmsp6vzUlE6S433Y9NS4Icnm0Ss/\n4+Magq2NHZOjbyWv4jKV8uI2w4C3RkLeIbbHf45SXUv/gPHtUvrm3DjiKf44/yEarabDfXSGXmuc\nY8z7qkyWx6otXX+3bAs3Rx88nPyJDmnfD6s99Kn0YnJ6NJOuROGicDC4JojgonDQv4bmhrBqyxJW\nbVlCn0ov/au3ITqAwl+NaGP+LrezvTu1ymoUSt2NsLK2CFldBf5uYUbbyOoq+OmU4XGmUq1Ao1Hh\n5ujLkpHPtlt2jVaNUq1bXrlKvVCqFai1LdOROUrMS1HWGXrdk75C7kxdeBaCREmU/xhSC0+0Uksk\nrfgc/Xy7J2Wwp1MgHk7+BuGeCuuOA/O6fOz5SYOZnzSYXwc3ZrxxUEmYn2Q6R11vYmhuHw5FpFIy\nS47nKSlOmcbtFxztXQh0jyS/8jJj+i0kszSeiPpz810JX7Jw2KNG22aUXOSHk6+z8rqNBuXD+85G\npVYwpt/CDslfWJWuz3r09dEXuG7wQ1zKP8LlolP6OuX7J3NToIz4AF0Ytq7KiNPrnvSFVR7UjriA\njVTBwqErjIaQknZjJBi1Vom6PqmDr2so0f5jeXhh9ybhWHxxhP51rSk8wHVNvlPezW2HHneVehMT\noDNt3nbxUy7k7NVf83YJJtxnaKvtskoT2HzuA9RGoi11VOFBlxNwYNAkAKR2Or+IvIpUgzp5/7uT\nis/uo/9vc5nhVdBlobJ7ndID/HFhFBH/e4jB769i8Yin8XNtGVvtf0dWcjZrZ7eEXKpWlFJTp9tM\nu3/Ke5zJ2k5ZKwkkrHSS+v9KWaQ5btWGhmgiOktKwUjI6Tp1Ld8d/z9q6sp09UURURT5bL9uVnAi\n/Q/SS863X+T6fqQSZwMfgqra4hYm3B/tfYDXf7qL517+F3tuX4G48iUWDDnd7jFNYVLpBUH4QhCE\nQkEQLjRBZw6AAAAgAElEQVQp8xQEYacgCMmCIOwQBMG9ybXnBUFIFQThkiAIcywucT1Xivxx7p9K\n36c+JLxP68Yi2y5+yhtbbyKl4IT+ZWk0WjUFlWn6z9lll3hqyUuE+Vszu1iaZ/bNxbdGN4OrGtj2\n2ndC5BLGRywmyn80Y8IXcSpjC2qtkqXjXm61vt73AXh6znccvfILaw8+QbWilPSS84wJv97oDMEY\nNYpy9iZ9Q51ajkJVQ2mN7kFQU1fOtvhPCfIw7nSUXZaIqJYgyffHxcGywVDMedJ/BcxtVvYcsFsU\nxRhgL/A8gCAIA4FbgQHAdcAnQhdFQvj9vG5n3Gv6IRZMv54Z/Y0nZvjp9Jv6l6VRaer0nmRzB92v\njwZjxfJ41TozNLcPANnLTDs6Te9/N072buRXXianPKnF9RpFOVsufExpTS6/NQu9djFnLzEB4xAE\nG/0mYHvRaFUM6zMLqcQZrVaLWmN4o7JvI5fB3qRv0MqdcDk2kmDPsg6NbwyTSi+K4mGgvFnxDUCD\nv+XXwI317xcBG0RRVIuimAGkAh3zajGDDSd06/nIVa/o10umeH/XMv1LFI3bl3eEg6kb9VllrXQt\namctuTdXmaw3LeYuo/s+CrUMWxsJuxO/Mij/ZP/DLJv4FuMjbuTBaR8zIKhjGZHdnfzwdtHZQFQp\nSskovai/Fhs81WRum88OPNahcU3R0TW9nyiKhQCiKBYADaZbwUB2k3q59WVdQlWtI9UKKXauNbg5\n+vDYrC+5d8IbbbaRK6uQK6uQSlzIbbaR0kBxtfkBCr+PexkAT6cAVsz4DI1U26azihULYQNaqen9\nGmcHd71F3L+338G64y9RKS/iwz338/Opt5gYebN+P6aBWmUV1Ypy7O0ccXbofMyE/MorfHn4aYOA\nJXXqWoPPrVGrNH1T6wiWOrLr0G5Z/vpGxwSXwb64Dm6f2WdJjTsXskOZGKULppCcf6xNL7umzOh/\nD1ml8YTUh4Y6duVXxkfozGW3XPiEKL9RTIy62WQ/d49fxebzH9A/YBwSWwdq+tYRtyCD8LN+OCsd\nTLa30nHkoSoUgWqk+eb/jCvkBfxy5h2qFaU4SlzYfO4DCqtaBq/YHv8Zd9cH6ewIoqjlQLIurffJ\njC0trrd+1Nw5qi8WUXOx2GS9jip9oSAI/qIoFgqCEAA0BIvLBfo0qRdSX9YqgUstl3K5RlHOkcvm\n+yLvTPgvj8z4lM8P6II0lsnyyKtI5aaRK7lh2BN8emAFKm1dq6mzmmJnK2H+YMMgE1d8ipFLlFal\n72IUIWrq/NpWeoVKxv7k7/SfK2uLqazVKUatqobMJlPuphRUXulUzH1RFDl6paV7bVfiOtjP4MFZ\n+H1iq/XMnd43T6+5GVhW//5eYFOT8tsFQbAXBCEciAQsf0trwoGUQRRWuTPo6/vBpfnWg3GqFCW8\nsfVmSmqyKanJRitqKKnOpkJeiKvUG1HUcvTyz5zO3G7y2E8qcW4RsqtSenWGn+7tzLg8gJCKxig8\nKjctYhsTTVHUUq1o30aYm6MvAe4RnUqyUWGBoKlaUYu8C6b45hzZrQeOAtGCIGQJgnAf8CYwWxCE\nZGBm/WdEUUwEfgASga3Aw2I3hebxDBK47ZXOHRSUynL5ZN9DFFY1HsHtiP9cb0nVHr4cZ9k88lZa\nJ3dpFSUzjZ+YnM3a2e4+75/8Hv0DOm5bD/Dp/kc61R503oIn09Mpl1nW0Mzk9F4UxaVGLs0yUv8N\noO3dtC4iyn80QR7lLSyd2suOhP8afN5z6WtkdZVm52u30r3k3VyN756WgUZ2JnzBqVbW06b48dQb\n3DX+tQ7Lsy/pO9OVzMDeToqH0yIuVrecLC8dq/Mi3ZUwhOKa9m029kqLPGO4OHjgYNf5KDMFlS0D\nNp7K2MqJ9D/qLay0qDR1+peBDCkO+O7W7RarbHrGi+rPSNqKllP4OYP+wgsLfmHRsCews7HHzsYe\nWyNx/5qSVZbAqi1LOHL5J5M77M3RajVMiroFOxvzYht2hIenbyfMp5gwn2Lun9r+eGS9zuGmLc5m\n7SK9xPhqItxnKHa29qQWtt+m+fqhK7iQsw8BAY2o5nzWbvzcwkgtPMmd414xSBDhmC3BRiGwevIe\nnj7QZUaJf1oii/3I8TB//yY2eAoejn4EeUaRVZrA+vpjVlMcSF7PgeT13Dj8Kbycg8zKs3A2ayc7\nEtayaNgTbD73vtkydifX1JM+3Gcofm24TAqCwI3Dn2Zon1ZXJm3y29l3SSs+y67EL9h76WsQBARB\n9+drvpHkecIRSeU19ae9qpiT0vLUpzZETfUAw6fyoRSdp1xWWSK/nX2XTWff58jln/XXZwy416zx\nfjv7Lhdz9hu9nph3WH8i0IAlFF4tUZE9sPUw4coSbzL+/RiKnMBWr7fFNfXL9HIObDNjTFrxOSS2\n9syLfYCITlrOldbkkJh3CLVWyfdxr/Lv7Uv59/albDyhO9uN/te1n3jxakLtrqXOzzCq77iIG6lV\n1vB93CtMjVlKauEJMksvMi3mLp6Zu85s68ln5q5j+oC7jV6PCRiLq9Tb4hZ0GlsNFf6GkZtnDLiI\nu6McjcyJioOTSX783+3ut9dP76dGJ+Dv1miHLWkjTvx9E3Whsm1t7Lht9D9Yd/wl7hz3CtvjPzdI\nad1eVJrG2HM1dWVklujOfitcfNky4AILLg3pcN9WzCf39mrcLkqxL9PF+pPYOiCxdeDv9b7xg0Om\nGdQ3teE7vO8cBgZOpLg6q838fg37BH+buhqAkWHX8d2x/6O4OgtbG7sWFn+dwc5GgyCAPEXn0CUN\nab83Z69+0rs5ygj3bTwPdR6YjENIjtH6cc1SLN057hUjNTtOYVUG6+JeYl3cS1z+aDvp3iWUOHXM\nYcOKcWYlD2i1vHC++X/rBq83Y5zN2sm6uJfYdO59skoTKK3JM9lndtkldiV+ydKxL+MgccZR4mq2\nPKbwcq6mj2cpBRtuInu1LvZi8N++MtGqJb1a6V0c6ghqsqFTm9mX3/b8YLR+YjcHy8z58Th57hVU\nOlo97yzNtMv9mZPUcm1fNtF8o6iE3INm1/VzC8PNse1Q2dWKUn469SYn0//g0wMrqJAXUFxjvh+H\nKezSQil95nUKNujMw73n7cQp0nhqMGP0aqVfNnG//r2otqUuJ4iqyrYVrLW79bzYB3hhwS94OFk2\nhZI8p5Qra3ZSYVV6i2ODwLQrMYxPj2jh+VHno269UTPuGv9aiySkLg5eLQJtPDx9DVKJM/K6tq3j\nXKXezBn0V3xcQrCzkeDjEqJ/dYSPz/Qx+Fz0yhWUBQGg0a3KbZ1lVKnblwkJerHSjwozzF2Xv+42\nCjfeTH8jbpQNfHX4Wa4UnWlRfjpjG5F+oywqo7d/APfNXkGxs3V631UsTBzKtCuG6+2MByvMauvh\n5M+4iBsNymYOuAeJnRSAUO9YvRMWYFbknEHBk3lg6uoWr/ERiwnx7G+WXA2kPPEyVad0IbLDz/Vn\n/pCW4dTTitv/oOqVSj8hMomZAwwdJYp+0v3nmLKXVmpq+f38h2SVGTojBHlEG1hv3Tr6xU7L6ax0\nYF5yLPOSYzvdlxXjzEkexPzExhh6db5q9vfbSlFVBnUqOYdTjS/5mnMwdSMqte7oL8J3hMFRXFF1\nZodlnN7/bsJ82rehq1GoyXr/JCnP7iX6WOtxDwur2u/62+uU3lbQ4OtahW2TMMhJjzYeWzQcmbWF\nXFnJd8deRFbXuOsf6BGBo8QVO1udZ9wPJzvuVgng6uiOq1PnfbGtmMek9CjGZeiMZ0R7iBo5iW2X\nPuPLw88wKepWAL3zilKtQK6sYtWWJTqbi3ocJa4olDU8NfdbQBcVadEwnRfmmcwdJOQe5MM9f9XX\nr1VWI1dWtWq1p9Vq2HzuA4OyKdG388KCX3h05n9b1G+Og50Tzg7urJz0PU9ErMVWaHbQZqPBRlpH\ncbWbyb6a0+uO7CL9CxgU1LhDL78cjqY+blpJTQ5VilKGhEw3aHMhZ1+rfX2w+z4WDFlBsGc0Pi4h\nPDnna1ILT5FccExfJ6M0nqpa0z7KTRkUOozVD32Dj/vVkRbqz0Kfci/OhGSitNNQMkNO4OghzLG5\nQ3/9oz0PMDf2ARLzDrWYqtvaSFgy8llCvWOJzz2As717fYz8SlylXowIncuI0MaocVlliWw88Toq\njYKpMXcyMdIw14IgCIR6D6a0Jg9vlyCDaxJbB4I9Y8gtTzb6XZpn37mQs49wnyGkFZ9nQOB4+izd\ngs38XchOj2v336lXKb2NoGVcvxSDsspjY1GV+CBXVvHbmXeJ9h/N1JhGH6E/zn/UZp9bLnzE3EH3\n6zdbovxHEeXfuLbPLU/h22P/0KcVNod5o26wKnwPMDyvL7tiElHa6TZOJ0beBI0Ok9w44qkWSSwa\n0GhVnM3aSah3LA52Tiwe+SwV8kKjIdXOZ+1GpVFw08iV+Lg0brhdKTrD2axdiIjI6soJ9Y7lj/Mf\nolA1buY6SlwYEjK9TaU/cvknqmpLWDhMZ/Cz9cIabh39PFsufESo9yAC797I0cvRlMvb74EndJPn\na8uBBUEc9vst7Wpja6Ph79dtMijL//Z2Cn+4SecIgxYBGxpicW69uIZzZqWlFlgx4zPcHFu3otOK\nWppuEb+51bjcZz7ORRAEbIRet3K6JtAi8ljERxyat4oJPz7NtC8NN3ZXbVlitO3AoEkI2DAv9gEK\nqzP47tiLCAg8v+DnFnVFUct7u5ZR10SZH56xho/3PkjT38r8IQ8zJGQGb25tHoVJwJyAUwINpt5a\nBARERD5MtcM/QuTo5Wj2t7FfdG7hj4ii2MLfvFc96ZsrfNFv11P4g25aJQgCAjpLLFEUOZiywUyF\nBxD5aO8DuDv6MTf2fn2pq9Qbf7cw0ovPI6LlbOZOUotaOuv4ugfw5l/WMCqqcz7YVjqPDQKH5vwL\np74+nFj+MWfknzJ74HJ+P7+6zXYxAeOYOWAZm86+R1rJOZzrj/KMBej44/xHKFSGpzLfHnuRW0Y9\nz5nM7QiCDbeOfkF/bdnEt/jfkaYJUBr7nRx1G4dSDTPqNNbSNnkvMmfQX/Bw3kqduowyWccMf3qV\n0jcl98u7Kf51UavXtsd/1qHgCZW1Rfxw8l/6z17OQYR6x3KufrrWGi/e8RZ9/fpZFf4q4cNNulAO\ndq5SNLVKVNVygww3zQnzGUL/gPEMCZnODydXkVWWQHTAGOJzDxATMK7dse4blodaUcuZzO2MCNWl\nNjt25VejbYwpfFtU1TpxIadlkhdz6LVKX7Z7mtFrZ7N2Eu4zjOuHrgAw2HFt1xiyPMpkrZte3jZ1\nGX+d9wR+HgEd6ttK17D1xC98/viPPPBB4xIss7RlZt8G/F3DGBE6lw92L0dWV8HcQfczInQeuxO/\nwt7Oken972q13exBy5nW/y6D31Z1bSn7k9ZRWVtMZulFgjyiKJcVkJB3yGL29wF3bcDeVwkdWMs3\n0CuVPuv9h9EYOaook+UR6B7JHWP/SYW8iC0XPsbbJYTSmhz9v51l9oiFvHC75RNnWOkcb2x4nryy\nbAOFN0Vc+mbi0jcjIODh6M+OhLXsSFhLgHsEo8MWGKSiaopU4oJUAi8s+IXTGds4n7MXjVZNmSyP\n6royaurKSbFwxNvIvtFMnOCPYHu0U/30OqVXZAUjT2uZzbNOJSerLJE6tZz7Jum86YqrM7ll1HPU\nqWs5l7WLYX1n89n+FYR6D251bW4Od06/n5W3djyU0p+RjQe+QqlWcvfMv3XpOJNjZ+Hp6s2aP95p\nd9tJUbdSVJ1JRW0hEyKWMLzvHM7n7OVgygamRN/eZtuRYdcxMuw6FCoZJ9P/wNe1L7nlyXg7ByOx\ndaCgSczFznDd66l4Tm6/rX1zeo3Sz4s9C4AiOwRFeliL618ffZ6+3oOYF/uAvizKX5f6Spe0wIMf\nTv4LtVbVapxzc1g2+2EeWfRch9r+GUnOjuef3zxBemEqWq2WP47/2Gq9jf/YbZHxUnIT2XdO5yJ9\nw/jbuWP6X3h/6BaO32Y6oEVywXFcpJ4sn/QOfm5hfLb/USL9RrZwx20LqcSZydG3AbrfnoPEmaOX\nf7KY0k++yzInQr1G6T2dZIgiqKtb7ljW1JVjbyc1UPimfLincUfe2cEDpab94ant7RwID4jC3q7r\nYp/1JqrllcgUNeSVZXPff2403QBIyml9bT30oQDumfkgd864nwCvjidEKizP04+x6dgGcu5z4/Rt\nn5vVtkJeyF+nvAfo0kn5u4Uxe9DyDssS4N6P5II4zme3P4Zda+hiAhiLUds+eo3SA4hqO3I+bjlF\n3BD3qv4/rDUenWmY9Sa77BKbz31AZTtikz+55P+4ccIdpiteo2QWpXH80gH95z3nthKXZDlX5W/2\nfMo3ez7ltXtXs2jcre1un1+WQ2qeYZLK0w+Yp/DR/mMMPCwbgmE0J6XwJNH1s0eA89l7UGuU+s8j\nw64zqO/h5M+I0HlcyN6LWqvkaqFXKb0x5saav1asVVZz5PKP7Y5yunR66ycAtXVynvr8L0bbzRw2\nn5snGw+1dLXz7s+vkJqXREllISm5rWdMsSSvrXuGmtoqo3/v1ljx8V28du8HuEhNn1v7uYXh4ehP\nSmGcvmx0+EJCvU1nW3Jx8DT47O7oqw+yObeVWaa/WxjzYh+gf8B4NFo18bkHSMgz34e/LdwdZQwJ\nyeBCTli72/ZqpddZ4Yn08TLtsqgVNYiiFqVGQVrxOYuMr9aoGPdE2xFSjybu47X1zwK6Xf837vsY\n0BkT2dm23xe6uxj6UMePIm1tbPVBQxsI8grh91d1Pg1qjYqxj/fTv2+KUq3krR9eJMAzmBnDDJ+c\nTRFFkZ8Pf8tr61cCMO1Z81KkOUpcWDLyWT7bv4JyeQGg+21otGpsbdpWhyCPSP3738+tZnr/u7lr\n3Gt8d/z/CPKIQqNVcy5rlz6fYv+A8SwZ+Sx9vAZga2NHhN9wyuX5HcrL8Na229ioliDY6Yx17O00\neHXQZbtXK31eRQoZJRfNSjR5JPWnDhlBtEZNbTXHLu3n49/fble7XWd+Z9cZXciuMP9IVizSWWjN\nHrHQInJZkvEDpnKsyXS+OVHBAwj1i2j12h3TljMq2nhcAztbCac/0iU3funbJ6mprQYgLukg1bU6\nT7gnP7uPf9+/Fl93f4ZHtMx2/tvR7/UK3x4yS+M5lb6Ffr7DKZPlk15yju/jXmZg4CRiAscR5BGF\nu6Ov0fZaUUtywXEqa4tZvadxhvfV4WdxtHcj2l8nq4DAgKCJVMgLOXL5JxYM0WW8WTbxrTZNgdsi\n+am3CH/uHRyCCjvUvoFerfSeTgFI/E0niTyYsoGYgLFcyNnXrnV8U77a+TH3zdH9xxVW5PHM2vtN\ntGibjMLL+j4W1q9hl81+mMig9gVa6CpW3vIai1+d0uq11+75gIGhQy0i6yt3N+7FHLiwk8fWNGYR\nenbt/fh7BDKm/2RW3vwq3+79nEcW6hRdoex4rsCEvEP4uIQwe9ByPm+IYCsI/HrmHW4Y9gTuwW0o\nvVbNr2daPxKsVVZxPlt3EiEi8uuZdwj2iMHLOZBDKRv1O/uzBi5nd+KX7ZZbkR5G1enh+AZ1PIgr\n9CKHmzvGHCbUo4wLS75v91hZpQn8dOpN6jS1Rr2mTHH0vcs4S3VWUBOejESmsHw0HCcHZ6T2jux7\n27gFWXeh0WpYu/U91mxp/IG/dOd/mDV8AW7OHl02rrFlhYvUlY8eWceja+7m88d/JMAziOkrOxec\nxN7OEaW68eYREzAOe1spc2Lvx8HOsdU2oiiiUMsAWLPv4Rb298YQBBumxdzJ+IjFiKKWkxlb2J3Y\nvqCWLyz4BcG+jgFrnsDer+TP4XDTERrMKzvLX9+/iWdvfoWV//2bgcIPjxirf//pYxuQ2ut+LM9/\n+TD5ZY3RVs9eadw4Moa8Toa8Tqb/4a9+6BumDumZDDm2Nrb09evH8Iix/O+ZTaYbWIjzawr48dA3\nvN5s6l6jqGbZf3S+Fne8YZm/SVOFB91ZPcDA4Mm4OHjiUG/f8e/thqc2fb1imRJzu4G7tb9bP4PE\npw14OgXi4uBBdvkl9iV9y76kb7l3wpuMCV+IrK6iTZv85qzasoQ5g/5C3+Qo7P1K2vNVDbjmlR46\nl8m2gTkjFvHBr/+iuLJxPXXLlHt58Y63Wq3/xvJPDD5/tfPjFnUOJ+zhVIpxk8rH1tzD+TUFHZS4\n88wfs4T5YxrXn1tzDpFcldHufu7udz0+Uk/TFesZEj6C8IAo0gs6l4jUGJF+o8gtT6ZWVd3q9Y0n\nXsNV6o2Lgyd+bo1OLcP6zOJc9m6yyuL57pgunJqboy+eTv64O/q2rvTO/iwZ8Sz7k9dxKmMrAOvj\nXmbh0EeZ3v/udil9A5lvP4Xn5Pa5pTfF5PReEIQvgOuBQlEUh9SXvQTcDzQskF8QRXF7/bXngeWA\nGnhcFMVW3d26Y3p/IPl7jl75ucNT+qaE+UdSVl1MlVwXYmvxxKU8d+u/9E/2jlBWXUKlrJwbX5nc\n4tqjNzzPzGHzCQ+I6nD/neXXrD18faUxTXexohyZuv1r6SBHP+xt7ZgfPJkHok1vuoLO0GbOCyPa\nPZY5zBpwH6czt+l3781hcPA01Foll/INb9LBHjGEeg/i6JVfjLb1dApAK2oM4u052Dlx88i/4yL1\nbFdmHCd7d5ZPeoeQKekULP21y6b3XwEfAt80K39XFMV3mxYIgjAAuBUYAIQAuwVBiLJcjnoRO88y\n1OVerV5VqGTYCLZIbB04k7WDI5d/5LGZXxjssnaUjMLG6Lv9AqJ5+a5326htnJJ6xblh3+Pc028h\nN4XOYvO/m0bnFQh1aX9+MktRVldJtUrGDfset1ifefWbp58kb+ST5I1smr7a5Hf09wzi/JqCTh0d\nWgov50CuFJ9BrqzihQU65f793Gqyyy+RW5FMsGc0f5v6ERtOvNrqRnG5vABf176MDL2O05nbAKhT\nyymV5dHXOxYXBy9q6hqz7o4InUdO2aVWA3HKlZVoRTXKwo5HZjInP/1hQRBac9xtbd58A7BBFEU1\nkCEIQiowBjC9oDUDG4mGkL99Scabz7R6PSH3IO5OfkT4DmdHvHnWWB3hhvG3tbuNSqtmffpWtuce\n5lKlzvb/m7Tf+SbNMOuODTY8PvBOJvoOI9Ktr0XkNZevr2xmf8FJzpYlma7cCRbve5zHB97FBN9h\nRLXxHb/etcbiY7tJfQhw78fQPrPYn2xeHvlx/W7EyyWY1IITHE/bhLdzEBF+I5gX+wBr9j9CTnkS\nJ9J/Z3r/u0kvPkdG6cUWfRRXZ1FcbZj4Iq34HMP7zmHp2Jf57ey7FFVnAJiVYk2utCe7rGP5Ejuz\npl8hCMLdwCngaVEUK4Fg4FiTOrn1ZV2OrK6SE+l/dMpe2lyW1R/dmcPOvKNsTN+BBi3njCiTqFDC\nOd01DfBuShq/DJ+Aj4Nul3xx3xlc32dqp+U2xXuJ33b5GKALafVe4rf84rwbHwdPwl2DeXFIS4u2\nd3+xbNqxMd89SuHj++nrPYi+3oPMUvqFQx9j28U1zBhwLzMHLiOzNIGS6iw8nAOQ2EmZ3v8eKmuL\nkCurOJiyATdp21lwmtIQq2F7/KfIlZUmausYFbYAFwdPZHVyrhR3bBbUUaX/BHhVFEVREITXgf8A\nHYtUYSbfn5ikn1q1hkarItx3KJF+Iw2MHz7dv4I7x73KuuP/7ErxWiBT1zJx2z2mKwKcvAh9AiGx\n3m2yrJKMyxvJAJg9nlPF8QQ7+THcu/X8bZ2lVl3H1B33dUnfbZEpyydTls/pskR+ytzFlxNeZUT9\nd6yts3xWIK8xEUyfMhXaYQb/+/nVeDj5Iwg2ZJbGE+odqzfZ/Xjvgzjbu3P72H+SmHcYjVbVrn2C\nkpps6tTyFjkY2vwOzgHY2doDHf/7dEjpRVFsGhN6LdAwR80FmubiCakva5X89Qn69y6DfXEd3LkI\nsmU1uS3yiE/rv7TbFT6x4gqPnTA/yIYweSRicTkE+QEi5DX58+46BgE+LNM8z38mPMeswPaHPG6L\nbFkBz515H6VWZbpyJxDVGihsOGYSwMsNtCKCsyOiUgUKJcuP/pPXh6+gr3Mga9e/anEZ8n47hftD\nLkR80PqeUFuMrA971ZRHZnzK5nMf8O3Rf1BSk43E1oGYgHFklFw0WKO3xbs7O+aX4TbmdIuy6otF\n1Fw0Ha7dXKUXaLKGFwQhQBTFhlvaEqDBmmQzsE4QhPfQTesjAaPhQwKXmmcvbS4ZpRcJ9DDc7d6Z\n8IVFx2iLF89+SJ1GRUpVBiXttA0QfD3B1xNRFMG/fop4MRXUGigoAbWat7P+wawnLeOq2cDZsiQS\nKjofmMEsbGzgcjZUy8DDDUQtoqMUVGqoUyK6OPGPM48Q4uyPoqTj59DN8RobiVal4cLK7xiwc5q+\nfNbA+1o1kLl+6KP8cf5Ds/peNOxxiqoydbEVBYHY4Clmpb/qCH6uYfTz1Z1oJI6+CCWGKa1cB/sZ\nPDgLv299BmHSK18QhPXAUSBaEIQsQRDuA94WBOGCIAjngKnAkwCiKCYCPwCJwFbgYcvt3MN/dpi2\nUY9L63pDklv/Ncvg87bcw4zZspQ/cg6yK/8YmbL8DvctCAJCoC9CoC/MHAfj6lMhlVRQmJLAmxv/\n0RnRDahUVvPq+U8t1l9bCHa2uu80cZiuoKIKKmt0N7TSCqiR694XlJBzJYGSys7Zlzel7OQVKs5l\ntCjv5zu81fox/mO5Y+xLTIu5k5XzNlAhL2RPk0w4zfFzC+XB6R9TVVtMauEp/FzDLCS5Ic4OHng5\nB9J/zeOkl3Q82WqvMcNtICYgl9GHRlK2Z3qLa6cztuk9nIzRfF/gi0NPdziSjh5vdxjWH8Gh6wJs\niPGpkKWbXH348HdMGTzLRAvTVCirmbaj6zc+W0MsKIEzl7p93Nt2/lc/va+qLWF93MutBj/1de1L\nlNbpkGoAACAASURBVP9oTqb/wU0jdY5Rge4RONobd9+V1VXw3bH/IzZ4KgdS1ltU7jCfITzxzhCC\n7vmej/fOpbLW2WQbY+f011RGhj5eA/XZRnxdQ5kz6K/YN7Oh3hG/loTcxuAPN4/8O308O7lBVloJ\n55MRNZ03AjKGEBsF0bqT0x8z2x/e+6rDzRkGRoCtbbcOW+evpiZaF0vBxsYOJ/vWA6wWV2chtXPm\nusEPkVOexIYTr/LHhY/YEb9W/1KqFQZtnB08WDziGYv5zDcwtM8snl7bh6B72u930hq97klvZ6Nm\n6P6x+CdG68s2nHgNhUrGsolvIqurRK2pw87WAWcHd6pqSyisSufHU2/o60tspfo79ooZn1GrrGbt\nwSc6F6Z4YASEBuqz63QFYm0dJKfD4CiCXALYNusT043awBJPelGugOMXWr/o7oIwcqBh/fPJCEN1\nqaXFpHRI63x0YnMY9NptXHrtZwKuG8aCKY/ju9eZ1bv/0ub/udTOGXuJEw9N+4QaRSmbzr1PTnnj\nsaur1Jsgj0j9TKABWV0FH+y2zAxqQOAErh/6KCM3LcNGogb48z3p1Vo7Ald8hq2rzu96f/I6KuSF\nVMqLqKotxdnBHXcnP5wddBlK3Bx9iPIfzeSoRoMalUZBVW0xVbXFrNqyhLi0zTwy4zOj4Y7NQqOB\nahliVQ1ine5MSNRodZ+rahDLqxC3Hmr91VCn4SVXtDqE4OiAMKw/gq0t+e1MqtkatoINAe04VxZr\nFY0ynk9G3HoI9p8ERV3rr8LSFt8RWX0f6bl6hRfmT4bIeiMdQQCp5ZdJaZ/uQqtSU1eis7dfs+9h\nkzd5hVpGVW0xn+x7EIVazu1j/g8/11Dc6v3tqxWlJBfEsTPhv6iahM1ydvDguetaDwLaXiS2UiS2\npt3H20OvdLhJLQxk7KKtlKy7nVDvWEaFzmf1nr/w8+m3iPIfzaQo0zOIAYET9HbUR6/8zIjQuYT5\nDDGa3MIkyRm6Xei0HPDxRPR0A5UKMszo7/BZw88uToiBuh+WENV1VnmuEmce7n87/zzX0hmoKaJW\nC1dyoKAYqjt4Ptz0Ozb7vmJqFpRVQp8A3XGlmwsozDvyMpf+/1hMzeUCHIPMO65zk/rgKvUityIF\nlUbB3ktf4yL1YmDQJKL8R5OYd5i4tM2otUpOZWxFFEW8nIMYHb4A0G3IToy8mctFpzu/Z2Rhet2T\nHiC5MJgdweX0eewTwn2G4lLvwZVfeZmDKeatewYFTaGpJfEPp1YxJGQ6I/rONd7IFCX1x3Ql5ZCa\naZ7Ct0aNXNc+NRPxQkqrVb6b9Ear5e1lst8IRnub8Es/el4nT0cV3hSpmTqlL6/SzZiK2lD4EH+Y\nMIxPVrR/fVtyKIk+t5qXfkyhqiHKfzTLJr6FSqOktCaXizn72J+8nj/Of0SwZwz3TFilr386cxt7\nL33NsSu/ATr/+akxS7lp5Eqkko5no+kKeqXSAxRWeUBIHjZS3VR4xYxGW/vWpm1j+y3isZmNZ/YK\nlYzn5//E0rEvY2djT1FVBkEeUXi5BGMjdHBzqapzgTXcnNzxWbwQn8ULkV4/E1ycIKdQNz0uafxO\nrhJnYj0j2+jJfDwd3Fg74SUCm2XsFeuUiCkZuil8/fdycXTD282X82sK9C8Pl/YbuhilppWbir1E\n//JZvBCf0WPYuGgNA0OHmBUIE0GX1+7ic+spP9loj/D/7Z13eJNV28B/J0mb7r2gLbRltVD2liEC\nsgUFJ4qCvg5UHCgiOPheJyq+iCiiCG4FJ0O2IEs2FCiUUUYpULr3zni+P9IVkrZJmzStze+6cjV5\ncs557j7Jneec+9zDuRoDXjmlmmJ2nP2Br/+ZzYyhX9AnQrddLJfJ6RU2hvUnPsXTOYC5Y39nSIf7\nkQkZGknN32e+5UJqZQCVl0sg7k51u0Yujh4VpdmqRpe6OJqX1PVGmqzSA6zLbIFq8CJiErfoWUw/\n/svQI/jAxbV60XZ/nlhMTOIWwvy6MKbLk3QLvRWAPuHjCPI0nvvN2rz3yOdsG7GMbSOW8UqXR1EO\n6aeb8oYGwfVKZ5V3us+w+Lk3Dv+MgQFVQlm3HdA50qDLaTdp4AN8/swqtr+nH0zyx+u76BLe07LC\nuDpX/N+THn614lF+bSI9w/F28+WTp35g0sAHajSeOni40Oe7p+n74zO0fnAwxcnZ5J1JYuoA0z0m\nv977Mv7urXFT+tA5+BZUmlKeHb4CZ8eyTEptJzGgbWXa7gtpR/X6Pzq49mIbppB7WOdXMG3gjnqN\n0yTX9FUJuvUQKxYeIC2h6lGJPfG/VKztM8ucZbxdgvR8ozed/JyCkmwGtb+H6ODKfHDDoh7iu32W\nc4IxhcGdbyUqtHPF6/GhQ/B38kbVS82fV3exJUlnfxgQ0J2OXpa5y9/Im92e4v+Of8bOlMN8/GRl\n8I1CJmdAp6FG+/i4+zGi53hOXDJ0C60Lnq7evPXE5+Cus04PDqz+B6V72z50b9uHW7qO4ulPjRea\nVBeUkHXkEhGPDsOrS2vS95xB7MkjIkLfc1Mhc6Rn2OgK5y4/t1B83VpyNvkA+SXZZBemMKnnSwR7\ntzd2Gga1vxsPZ1/Wn/gUZ4e6lZCujbS1Y/DoFVN7w1po0kqflO1NQmAkLh6n4YZS0tdzziNJEkII\nSlS6nGZKB8NtjqTs+Ip25YT6WD6wZf9HFw3SZT97+ys8PLL6u3Z/f12Z5MGBPXm/5/MWl+lGvJUe\nLOozu/aGNzBl2OMVdeq2HFnLrC+NVxoyhV0LzHfYGRQ9nCVP/8iTnxhWgJHUGnLj9LcFJSRu3KpW\na0v1vDnT86/QOeQW0vOuklFwjY2xn3Ffn3k1ytE1dBhqTSmbTy1jz/lfmDPmV7P/l6o8d+vX9epf\nHU1a6ftFxDOg7VlaP/kwi189rOfzHJ9yiC2nljEsaiotvNriqHDm5DXDlM4X0o5y9PImg+okNzKk\nS6WBr0BdxKH0kzrDk0pdq5xP3TYbZ6WLTVNfNRQjeo5nRE9dLruL1+NZtPqtiveupScSn2QdLzwf\ndz+GdBnJ/tM7KVZVbnk6eLrQbeFDFa8PTNZVr6ltG8zZwZ1jiVvIKkwmzLcLCRkn+Ongf7mr15yK\nGonG8HQJwMXRk6LSXJKy42npZbvMR9XRJJW+S0gCId4ZdGulyywidytgbJen+GS7/h3myOVNDGh7\nF+qSbFbH/K/asMeT13bRseXAGl0sF02v9L3OVRXwxvGlbD2+AQ6fqrZPOflludybGxEt2uldtwvX\nz/HSl49xPsnySTqiWnVh0fRvGP1Kb5Iyr9TaftPJz2t83889lGFRD/HL4fn4uLXExdGDuOt7+PXw\ne4yM/g89jETdAbQN6EmQZwSX0o5RorbSbkc9aVJKLxcanh62CaVChUJe6fKas68Pbk4+3BI5hb/P\nGCaCKCrNrXGv9Fr2WVSaEpwxbS3m4eDKm92eJnnPLgxzpMD0cS9y9+CpFa/dnWu2FDcX2rRoz9cv\nrGHgCx2sMv6i1W+TnKUfya3KLeTka6vQlqhI2VqN56ARrmWd5edDb1Okyifm8hZ6h48l1KcjVzLj\n2Bq3AicHNzq2HGi07+3dZ6LSlLB890yGd5xGdHDdEqB8vvMZo3X1VuwxjDsxhyZlvZ89Zg2uyhI9\nhQeIXDwL1zYJeLsE0dJLZ2hpF9ibbqGVQSnuTr48Vk1hQsBgllBOq4AIDi82vHM4K5R0CDA06rg6\nudEqIAIfd7+Kh4O90m0F7i6eelt+Nz7qg5erD3K5/n1M6e7K4JcfRp1XjHOI6d6HWklDYWkukqTl\nqaGfczZ5P5Et+tPSqz0eTv6sjvkf76yfaJACC3Qlq12Vnjg5uBmU7TKHotLKGaJL+3javPE2AB5O\n9ZtBNJk7fZeQBINjO85U+nVrpv5CcNs+PH7qGeZ98TTp+VfJketcVd2dfJnQ/Xn83ELMPu+zt8/F\nQWG85txrkz+ghY/+mC18QhjTu25li+zUj4dunc7KHSv0p/dFarJe/5u8s0kM3PAym9o/Z/a4cdf3\ncEePF1kds5DoloPoGDyINTELScm9xMqDb9A5eIgujVWVNN8yIeeWyCkcS9xKthnZdIzhffNuWs2s\njO8P8c7kXErds9A1mYCb+/rsIdxfP9PojTXBnBxKSZ1/jqGaR/ly90wAnhm2XO/DqKmOWIegfkzq\nqSuycCUzjisFe3h76mLcnK2zBWPHsizb+BFL1y9ArTFuXHVrF4RHmjs+ri2NGnWrQyYU3NzhXqJa\nDOTznTOYPXoVuUUZLNv1bMW63dsliOm3VAZAaSUNS7ZPJ7e47slAhJAx+oEQpnyWidylMvV4swu4\nKWfhlrEGx4pVjni8EM13517nvj7z8HQOYPG2yppzecWZCGR4OgegkBlOudPzrlBUqvM+8/MIxS8k\n2K7wTYj0nJRqFR4gPz6ZPp9Mr9FgawytpCa/OBsvlwBeGPE9644vxsnBBS+XwIry1VmFyXz813/I\nLkzh+32vkV2YWi+FB3Dz1TL1m2sVCq/SyFh3rKdJCl8TTUrpJY2MtLVjKE4Mpnur6g1zUctG49LL\nj6eGLsVFWWlE++Xwu7goPXhq6FLCy/bAq5JRcI0Dl3R7tY4urvSeeK/l/wk7ViEp4wpnr9WeYHLX\n4x+QkmN+AExK7iVyitJQyB3oEzaO9PyrPDLoQx686R1alHlw5pdksuTv6SRmnmLpDtMzJpvKlUw/\nYq8Zy0ZvHk1G6befiUbSyri2bBqF59oxJLKGD1hA5h0bcO91lIk9XmRTbOX2zMQelTnzqzpbTOj+\nPKM7P1HxWl4qw/uQk2X/CTtW47mlU4k5X3t5hcyC6yRm1r7NeiOJmboiqACBnuEV++9eLoGE+xne\nQKzB32fqV7CznCaj9Cm5lZVSExc9RWmaL1MH/I1MGM9Wc6nYjbgSF0J9ougaOox31k9kdPTjhPro\njH939ZpDuH9XFDJHRnd+gk4tBxHs1QG5qLRtarQaNFqN0fHtNC6mj5tl9XOk5F7ivY36hU6uZZ3j\n4KU/KY/YFEKGsFD9ROUNFdOq6kB9aDJKDyCEhGuUzrEj7uGluF8KYXy3QygVxhOZhzyxHIV3ZVba\ni+nHOJesn5z3pdEr6d5KVwU1wKN1RQ1xgO3Xd7Avdb+l/w07VuC5pVOtMm4b/x5EtRhQ5XGT3vvB\n3u15afRK/N11eQ/CfDvj71H/KTjAksvWSSXWZLbsAIRCQ+tZH3H5w2coONWRhA+ew737cbqlBfHb\nmWWEPK6f3TRzyzCOHPiBzGxdfPbOsz/iqvSmfVAfk87Xyqdjo3SjtKPPK18/bfExfV2DGdjuLtoG\n9ELp4GJyP2ulv157zHKRjE1myw50W3IzR/yJttQBSSOnML4NF175P0AX/yxT6v8yyjRyFm/9j159\n+hdH/oijovq1+v4Lq9kd/zOzRumymf55YhHLX/oWR4VlUxbZsQyzlz/BpsOrLT7urFE/mZymave5\nVeyJ/xkJy+nSvO0yOg3RLRNWx/QmLikEc8uu/yu27IpVjny3bzCFWhly52Lcu5yi27q78Ll1G16d\nLqNQO+g9ZJLhv7dg82RWHXqbwlLj/vD92txeofD5xVlkFaTdGMBnpxFRqqpfQokb8XMLYdbIH83K\nSzeo/T3MGfubxWTwbw2egaDRCrafjiYuKRRzFb4mmtT0HnTbFhfTAukSWun+2OqZpWiKnMjYMoyM\nTcMpuVqz511RaR4lqsJq0x9XtFPlV4Tl2mkeDGh7Jw41zASrY/8Fy802Bk8RhEQJNsZ2JSYxovYO\nZtLklB5023ftAq/j7Fjp1yx3LiZgwnq8B/3DqYeWcSn9OBtjlxrc0acPWYKjwrkiW25N+LuH4u1q\nu1rxdmpmy5G17Dttumedtdh/cQ07z1qmuEVwFIx9TvDbkb6cTbZOwecmNb0vp7DUiYVbb+PLXcNI\ny3MnLc+dzAKdl5KDTzbK0Kuo1CVkF6YgSfpbelpJa5LC22ncaDRqElLOU1Ra//DVcV11iUza+Pfg\nZNJulu4w3TCo0pSQmZ+ERqo9r4IpLDwl51hGlNUUHpronb6c1DxPlu3S5bZTKlTc0eMAEf6pRH4y\nk9i+Lxrt8/3+V3l2+ArTxs+9TGZ+tUV37diQnMJsPl33vkXGKi9WWZ7bblC7e9h7Xlf+rFur4UaX\ngedTDpOal0huURrHrmy1iBw9Wo+ioGQXVzJNjwasC03yTm+MErUD64734mqWDxKS0bh60K3nyz/Q\n2kjOuUDH4EGsuGmvJUW1YwGqy4lnCXbHr2LH2e/ZcfZ7Ckty+f3IBwZtTl/fy46z33M0cXPFMVel\nF33Cx9fpnP0iJjC84zTyi53qVZzSFP41Sg9QUOJEscoBda47GQXG79BaSWNyqGOX0KEMaHsnX/SZ\nwmedNqOS2b3zGgP3zx/FqcvHGuRcX+x6hjPJ+3hn/UQWbL6fwtJcjl/ZRuy1HXrtlApXpt40n4OX\n1tbpPC5KL0rVRXz0WWeuLT+OpLZeXcRap/dCiBDgWyAQ0ALLJEn6WAjhDawCWgMJwN2SJOWU9ZkD\nPAyogWclSWrQios/DbkfqLlqizl0Dh7Cr3PfpesrbbgpwTqZaO2YxtkrJ8nKt2z1G1Pp3moEH22d\nqnfMxdEDN6U347s9W1ExqS5sP/0N209/A2UrBZlSjmOQK8qW7rh19Ku5s5mYsqZXAzMlSTomhHAD\njgghtgDTgL8kSXpfCDEbmAO8LIToCNwNRAEhwF9CiHaWrFNfHRH+yQR5ZrP+xKf0bzORfRcqp/FR\nLQbQseUAfjti/jqwuCxm+nBoAp2TQnAvtQfi2IodJzZzLcMwW01DcODimop8C+WsP7EEtVbF1riv\nuJxhLHla3UhZpUsg6uDvQthL/XCNtNw6v9bpvSRJyZIkHSt7ng+cRqfME4DyrIffALeXPR8PrJQk\nSS1JUgIQD5jm91pPvFwKcVOWAIIhHe7n5TG/4KrUBSn4uYXQIagfL4/5RS+azhRu7z6T9D1n8H0z\nAbdSu2dec6ZDUD86BPUjPuUQvx9ZQLEqn8yCJIsqfFVUaYXEv7Qdrcpy032z1vRCiDCgG7AfCJQk\nKQV0PwxAQFmzYKBqUrlrZccajDljfuGbvXPIL87i2eErmDv294pAGpmQI4R5pgxZWfv3V73KtTTb\n3GUA1u3/ma7Tg+g6PYjdJ7eZ1GfPyW3sPvkXMz59oKzfXxWPpsbuk39xOfWizc7fwrMtqw6+xaqD\nb1FQksPMkd/Sxr8HXi7WNbwhwYmJv1FwzjLLGpO37Mqm9r+iW6PnCyFunK43ImdVQZBHOGuPfcSd\nvebgZKTIhTlsPrms4vkn6+Yz/+HP6itgnXj1m2cqnj/96f3MvXc+99w81aBdflEeO05sprCkgLd/\nepmqH01Vq/edgx6kS3hPJvS/x2CMxog1Lfam4Kr0xL2stHeXkFvYfe5nPJz9ai15bSmSvz9JmzcG\n196wFkxSeiGEAp3CfydJUnkZkBQhRKAkSSlCiCCgPIHdNSC0SveQsmMGXP+xMpmBW2d/3DsHGGtm\nMrFXWxEZdI1OXz+B5sHFrD/xKZ/veJpnb/2qXuNW3YfdeOgP2nxxH4/ur//FN4fHF91tcOyfuO0k\nZSSy/uBv/DVfF9311CeTOZ0YS0FxPlpJS02/xb/u/pZ1+39m8Zp32PDmQRwdlHy67j3uuGkyD34w\njrsHT+WxMdavrNNUOJ96BLlMwZO3LMXJwRVP5wCScuKJSWxQO3W15MWmkh+bVms7U+/0K4A4SZIW\nVTm2FpgKvAc8BKypcvwHIcRCdNP6toB+EHsZLSZ3MvH0pqHSKEjL8yAs/AKR772Ncv4LaHI9WHts\nEeO7PWux82wY/SqPzttVe0ML8cna+ew/Y3i+nSe2sBPdF67r9KA6jV2iKiYtp5jez1TGgH+xYSEA\nBcV5dRrT0iRlXGHyfOPFJeqCh78DBdlqNCrDH8QJ3Z4jJnELwzs+zIbYz0jLS0SjrZLGWoL84kw2\nxn7G+VTL1O+zFO6dA/RunCk/Gc8uVeviVggxALgfGCqEiBFCHBVCjEKn7LcKIc4Cw4D5AJIkxQE/\nA3HABuDJhrDcl7M1riu7z0Xh1jmOVs8uQeZUZFGFB8jKT28UPt/WxMvNh/5RdSvSYGmWb/qYrPwM\ni43nH+bEwPuNr8PPJO+jlW80QZ4RPDzwA4ZHTaV3WGUSVi1azqceoYVnWwa1u4dB7e6xSu1Da1Lr\nnV6SpH+A6lJ4DDd2UJKkd4F36yFXvdgdH0mxWsGtfY7QbsErSGo5GZtuJWPTCLPGiU85xK5zK9Fo\ndX7VEU/cStLqQ2QlZ3LgzK5GoxTWwNvNl37/0v/vwqE8clKNZ1s6m3yAs8kHGNxelxS1Z9ho1FoV\nnUN0VWWEEAR6hOv10ZxRcSVTv0afQMa0ge+zJ/5nzqUYnejajH+VR14lgkOX2vHO+olke+Xh0iYB\nZXASQmFeUERRaZ5eOSynIC+Eo+7376stn3L0fMOk0np6/Mt0CLHsUsjH3Y9A75bVPlbP223R89WV\n/Wd2sf6g5WLVRWQ0DrPeID1HZ9ztf48/rbsaGnpzi9LJLUpHo1WjkDkQ5BlBkGcEzg7u5BalU6qu\nLJKpdHDF3ckXdydfnBS6sV4e8wvJORctqvCWMOJBEw+4MYWv9gzljh4HiLp9PZJawfVv6m4Bzjp0\ngcDhXUhY8TcA249tpEfbfpYStUZG9BxP++COxCWeoGe7/gAkZSSy59R2k/r3aNuXti0rp6EP3Tqd\nED/L5HKzJv0iBzO2zyR+3WM8lsJcFLfpG0RTcrzIK5YA/bwJ5WXOBra9C1elFwEeYRSp8jmfepiE\n9BNM6PZ8Ra36/m3uwNPZH41WTam6iM2nlnHk8ka2nPrSIjJbmiaVLquuOCpUjIo+RnTwFbJ2DuTy\ngso1flJ2PAUlObQL7KXXZ+XBN8grzjSoVebTty2ZB85XvG7I8tMlqmKupl2mTUtdAcjMvHROJ55g\nzldPklOQbbTPJ099j0zIiGjR3qAElzWZdfhDAp39eLHTQ7U3roHpi+/jwvWzpGQl1Vsm+R2TkbWN\nBEC17CPIzgQPLygthuLiGvv2DhtHp+DBBHlGkJZ7mUBP/Sn+sl3Pk1WQRK+wsVzOiOV6zoV6y3sj\n5upLdemymoXSlzNtwHZaeGWTsfUWrix+AiQZkqRl08kv6BdxO8WqfM4k7+NyxkmSsuNNGtPNyZ1/\nFprW9t+OJElsvLaHuTGVhUJnRE7mkXZ31Gm8uu5IVIfiudcQDg5IWi3q5Ysg2/z9dbnMgRdHfq/3\nGkCjVZNTlGaVIhcAQiHo+sedZvWpTun/9dP7qiRkBNDCKxvfW/8m50Bvcg/05kJaDDGJWxrNXmtT\npkRbytyYj5Gy86CoGNHCn/N5ieSrCnEzI6OstZDiTyM6dkG7Y3OdFB5Ao1Xp5b6/o6x4yrbT35Bb\nVPseeV1w6eBDu/fqV566Kv9SQ55xqlYI8R+/HpAIcA+jtW/nOo9ZrCrml93fWkC6fxGXkyDmDNL5\nRDZe28N1KymDuWjW/4rmwG5EVBdwqZ+XZjl/HF3AH0cXWEXhZc4KWj3Xm7CX+iHkllPVZqX0AJ/v\n0GXace9yiuifpuHh7IuvW91DA9QalUnllJoVndqCQgFhLW0tiQFSwgVkLYLBsXEHTrV5czCdvhqL\nz7AwHAMs8wNVTrNT+owCdzac0BXFULgVEDHvHUZFP1bhU20uMpmcsMA2lhSxyeIkV/JF/3n0COiE\nYuQA3Jzcebv7DNpZqOKLJZASL6L64HWdEa8G5Pc+3EAS6ePa0Y/QGT1x7xaI3NWwsrIlaFZr+nKS\nsn1Iy3PH3z0PZcg1XDqcZcDlSWw6+YXZY8llcgqK8zl79ZTF99KthTh/CXHW0Los+fog9etRr7H7\n+EXTxy+aHy9twMvBnTEhg+o0zuq9K+slR33RHjvU4OcMvCuSFg/WfalpKs1S6VPzPMkqcNMpfVAq\nzm0S6NF6VJ2UXqUu5VLyeYJ9W1lBUkNEzEnkW427AGtv6o12oGHqAnHxMvJf/6w8UFiEKDDMIis5\nOMCufagffQC865cxeHL4mHr17x/VsAFNNyKdsU58vDFco/0JfaoHyiC3Bjlfs9qyu5E5Y35HCEj+\n8S6Sf55EStYVlu+eWaex3ntkKaN63V57w7pQUIhiydeI1HSLD50vlZIu6f8ABAt3mF0WxuvlAQ4O\nFj+vqQx/uRtpOQ3nC9GQKHyc6PT1OISwXPWaqti37Ixw4GI7+rWJJ2jyL2RsHYpLgQch3pFczTpj\n0DYyqD9nkvcBEHJXP67+ou+Cuyt2K8O6jcVBYVkFke3cizhzoULhz2jS2aepzFFykzyUDvKac6hd\n1eayVW04nZ/m2J2/1BeZW6Lv1feoQw+83voP0fJAegwcDwF+RmcQDcEXz/7M7OVPcO6a8YixpopT\nmCdhs/pZTeFrolkr/fYznSksdWRolC6uX60pIa/YuIFndJfpSEicTd7P6LaPE/tzf069voq8MzpP\nsfUHfyMp4wpfv1i3bKjGkH+1ElncOQBeLf6bRG0OaVIBl3X5RwFoLeLwFzVbd3MoJl5r+H8d0lxn\nhMKwbNIylS7/e5BwI2TbQZzljnwWOx0AzSOTwbHh7vwRLdqz4NFlPLjgNrJtlBDTGrh28MGpVc1l\n1axFs1Z6gP0XO+DpXIgT4O3agm6hw9l5zrBEkVwomNTzJZZsn47jVUFG8bkKhS8n5kI9gytKS0Gj\nRcSdQ7FyNflSKSc1qTxcXP0PyWUpR+9HwBx2aBLYoUmo9v1kKZ9kKR+0EH1iNm8qb2HE3HPIwlrj\n+MiDoHQEmfU3gFoHtsFRbgFLtqMSSi1b8LIuKIPdCX26V+0NrUSzV3pT+fqf2fRvcwelmiI+/W4q\nAH6Do0jfdbrGfiaTmo7iu18QyWlc1+ZxSJPEmyW7KEBVe98G4rWSv3mt5G/C47xY9Goc4ePud//R\ngAAAFn1JREFUQvL3RYqOtLVoJiG/ZRSaPdtA6QSZRuwjHrokquQaj2OwBB69goiYV7cdDUthV3oT\nSc+/wrrjH+sda/fMaD2lf+uhj2/sZhr5BSh++B2RnIZa0vJC8VaOaRuv8eqSlM2s4q2E/X6I/wXf\ni7qJKL1m8xqdJ151xmsrG7W9BoQQ8nRPq57DFJqdc051RH0xw+w+++9bpPf6jR9e5ImP7zX/5KWl\niCSdkvcqWGY1hd/oMpmfnc0L2qiOs9oMNqsvQEYWsj8tU8utJta/aSGvx8ICyMpAMc1Ikcq8HN3D\nCnT5bSKtZ/VF4WYdhxtzaPZ3emeHEjyci5A56BJsDGh3J/Gph0nKPldrX0mlX+aqVF3K0mfMdyqR\nr9SlFzylSaUU80tn9ZK1pJ3ch9eUlXvbu9WX+UalS5b5pbN+fbU4tyd5t2QPc5QDAfis9DBHNEns\n1Vw1+9yjC75nvbav2f3MxdFByaq5W7nnnVstMp76q08sMk5NKDyVtHq+Nx49G1e582av9C29smgX\nqH9n7Rsxnj+OLmgwGTQP3we/rGXhAfMt/2MUbXlDeQsuQt+iPkjRmkGK6t1fyxUeYLqjzqjUMX+J\n2ed/0rG32X3qSiPKsV47Alo91/gUHuxKb5SoFjfhPXABK/YYL3dtcZyUSOGtwYwZ7F8uUwDwFEoD\nha8r7yuH81KJaUUwHnPowd0OnWgpc6/D3OTfT8cvx1g8UMZSNPs1vZdLgdHjQZ4RzB37e42lh/v/\nOpP+v72gd6ywuIDMPPM95yRXF5Z53kl7mWmBP7lSCS1l7rgKy60RyxV+iVPNLrQTFZE8p+xHS5k7\nkq832vEjLSZDTVxOsXx1G1nvmxDR3S0ylpALWkyJptu6uxqtwoNd6RkZfbziue9IQ4PU8I5TGdTO\neAWYq7/uZ9+kD/WOfbttaZ1KL0ndo9HcMZrfnO9ipLz2qL2JRT8DsFOdQIFkPLNrbRRLaj4rPcwF\nbRZflFbmcH+yeEO1fR5x6M5bTkPrdL76Mnv541YZVzG6bpl9bqTFQ50JvLvxp8Nu9kpfFb+xm40e\nL6+DV87t3XX++VdWGpYmPnzuH7q3qZvLqtSrK3IhY4xDu1rbrnKeBEAbmQ+O1WYor5li1CwuPchT\nRRtYVGra2uIJR/0tJ/WDhpV3mhLauBOov/u8XmP4jm5Duw+HEXBHBwtJZV3sSl8Lxap88ouzeGn0\nKp4ZthwPZz9Wx/wPB7mSh26ab9D+0Lm9fPtX3Wvdqea/As61l8IOEu7kSiWEyDxwEHVTepWkZafL\nVMJlXiYZydxxRFDpKy65OENLKxdvLKMuSyaTKMhHSjZadc1kHP2ccW3vYyGBrI9d6asgd8/Dud15\nvWPrTyzh422PcCUjjo+3PUJuke7LF+odRWpegtFxTlw6Ql5hHfd75XKC7rmfMOFVY7ObC79mTrFp\nlWuNsU19iZsLv+bmwq/Zqblca/tQ4cGXzrdVGA21rYJRvzC9zuc3l3veNlpXxeYovJQ4R9T8WTU2\nmr3S7z5X6U3m6JeJZ9/K5AmX0k9URNzd6I9/Mf0YG2OXGh1z69E/ycite860KJkf3eW1Z4J9wrHu\n/ttflh41ua0TChY6jaSzXHdXl4L80UyeCB4NE//dmJHUWtI3XKAkRd8gLGklklc1zsjAZq/0Sdk+\net6XQff8jksHnWNOuF8XQrwjy9qZl+Z6wn8H1t6oGqTOUWh7d6u13dLSw8b7SxLV5UnomL+EhSX7\nMSeg86jbY3SU++vGBt0d3tfbjBHqhyRJjXaPXpOvIvfQdU7/R9/4eXzCrxTFN0wJa3Np9kp/IS2I\nTSe7odJUXgq3TpX+9JN6vkSHIPOr2KyZt6decr0VcR/jlTVbgtOlQrapL1Ei6Zfreqz4T14v2WG0\nzx/Od3NZm80jjrWnxWolPBkqD6t4rQ1ugfqdObX2syTpuak8+cl9/9pEGrag2Ss9QExiBH8er7RK\nt5z2vd77k3q+RJ/w2wz69Wtjma0eY2gH9uVdr7E1tonVpjKjeCOv3JAEY7HTaEJlHsRpDJcYQTI3\ntMCM4o01ju0vXPjAaTifOOv27LWhwWim3NngWXROXT7O3rgdDXpOc/HsH0zoDP2lVmMIrKkOU0pV\nhwghtgshTgkhYoUQM8qOzxNCXC0rXV1evrq8zxwhRLwQ4rQQwrxSsTbi9PVQvt9fGfIYuUS/vPXx\nK4ZGs5jLNRTIsEBCFPWsJ/ncaVyt7TaozzOw4CuWl8YAUCCVcl2bT1uZoUXZUzgRXTZVr46VzpNY\n43JvxRpeNe8FNI/d36BT+nLmfmWdijGWwrmdN61n9sF3hK7MVcbWS5x8YC2+I8Jp9XzDuSibgyl3\nejUwU5KkTkB/4GkhRLn163+SJPUoe2wCEEJEAXcDUcBoYImwRU6gOpCY4c876ydyLLE1TqFJhL/+\nLnK3PL7b9wpuSsMvfInauDcfwNkrpxg/76b6CeTqQr/Z7zDPfxxOtXhMZ0pFfFi6j475S9ACarQ4\nlm3lHdckc1yTzKCCr+iYv4SPjOzJd5YFcL9DZ+LcnqSLPBBPBzc0t4/SpYt2cwWn2rcRLU3X6UHk\nF+U2+HnNwTncC5mT7rPJ3neN69/GEv7qAI7f/pvVUljXF1Pq0ycDyWXP84UQp4Hy6hDGlHkCsFKS\nJDWQIISIB/pglme5bdkQ25OCEicG9D5K6IzPmVL4BpdSTvLTwf+aPMZLyx+ndYBhKiqzCQpg0kOv\nIc734f9Wv25Sl2WqI5zUprKwZH/Z6+ot9VEyP0Yq2vCwQ3cUovIeoJ0wEm2/hp+i5hflcfDsHgqK\n8xr83OYSeHcULaboqialrYtHW6Sm1fN9cI30rTjeGDErG64QIgzYAUQDLwBTgRzgMPCCJEk5QojF\nwD5Jkn4s6/MlsEGSpN9vGMvm2XBrQggt/ducY0iHOIoSQ4h9/B02xi7lVJLpddsd5A60Cojgv1MW\n0jm8fvnkAc6fPczWT+exVHWk9sYmsMb5HtyFkiCZbutN2yoYzV1ltougAIucw1xSsq9z55u3oNao\nKCypfibVGFCGuNN6Vj8SPzxAy2ld8OjVuCLqqsuGa7IhTwjhBvwKPCtJUj6wBIiQJKkbupnAhzX1\nb2pIkoy95yM5c70lzq2u0nHBO/j7eyMTpts+VRoVF66f5YH3x5CUcaX2DrXQtkMvpn+8npO3fEFL\n31B83GvOgmsMBTKChTu/Ot9FW4Ufgb4hSN5eqN6di2bGIzplt5HCp2ZfJznzGrmF2Y1e4QFKruZx\n7tmtFCfm4uDrbGtxTMak0FohhAKdwn8nSdIaAEmSqpqGlwHryp5fA0KrvBdSdsyA6z+eqnju1tkf\n9862+bLVxPnUINoHJeHW6Qzjn+jPsZn+ZBelmD3OHW8M5sCiSxaRSXP3eDbePZ74a6f5/Z8fAJDt\n0a2eNqrPkyEV6bV/wKGyakqAcOXhiHFIYSFoHR3Qjh5mEZkswYxPp3Dm6klbi1EnsnYm4hxuW8+8\nvNhU8mNrdwozNZ5+BRAnSVJFfighRFDZeh9gIlD+aa0FfhBCLES39m8LGE0T22Jy4y8DdeJqGKOi\njyGTa/Ebt4lJfz7I8vUf2FosANoFRzH77rcAEN11PyijtakGUXf95CF6rzXenuDXdHzFmwLKFrb3\nTnTvHKB340z5ybhHYK1KL4QYANwPxAohYtA5Zc0FJgshugFaIAF4HECSpDghxM9AHKACnpRsVUbH\nQry/6Xbmjv0dp+DrtA4NYe7Y39l34Q/+PvOdyWMUlxbx0peP8f5/zC+dZQpSO92WUTThhu9Z5YyW\no6i0kC82LGyyd/kWU6LxHWkBo20DYYr1/h8wGru5qYY+7wLv1kOuRkvkkpkcu+0XfN2CcXb0oKjU\n9C2l65nXuJZxhWDf0NobNxO2H9vI859Pa9iTBgRBViao6paHoKlj98gzkb3n21c8bzntO9oH9sHP\n1by69icuHeHl5U/w8oqGi05r7LzxQ8OkJJP16It87J3Ix96JLKJ97R3+xdiV3kQSMiq92Dx6mR6h\ndiMnLh3h+TtM22+3YzlEcGtkHbvoHv2H6PLfW4jkn+Ioumyd1NnWwK70JpKQHsihS7o0VjKnYhyD\nkply09uEepufHmnE3O6cTjxhaRGbDFpJy+cb/kfX6UFk5WdY92QyGbJBw5FFVjrLCIUCLOgk6uDr\njExZt0QmtsCeDbcOOAak4zvyL65/8wB39Z7L/7ZMMXuMGUse5O2pi+kbadsSR7bgg19e58e/v2yQ\nc8mGjkHe3TB9mbzfYKSS4uo7ZmehjandibTlI11x7ejXYLXlLYFd6c1gT3wkHYKS8HCu3AdXKpwZ\nFjWVbae/BqClV3v83UONBuhUJS0nmVnLHuW72Rss467bRHj92+dYs8/8giB1xZjCA8g61+whqb2S\nACYofcDtTc8+YFd6MyhSKdGUeTUqPPIQyhIoUdI3Yjx9I3SpstcdX4yPa0vkQoG3a2X2m/R8w+ox\nOYXZjJ93E+v+u5dW/1LFz8hNI7sgk9TsZJ742HhW4caILDQM6eaRaPf8BRr9zP4Ovs60mBKNz7Aw\nihNzUXgpUXgobSSp+diV3kxiLkcwNOokviO2k7ltCAVx+mv627rqauLJhIy+ERMqjv8V9zUHLxmv\nYPP4x/ew8a1DRt9ryqRkJTH3q6c5HG+YNbgpIO8zAG3sEf0KtzKB76gInFp7ApC5PQH3HkG4d2l8\n3qTVYTfkmcn+i6ZN56oq/OaTX3I1q/qS1uk5KTz4wThiE+q+K9AYefKTyU1W4ctRjNMPCmvz1mCK\nEnJwaasLtW45tUuTUniwK32dWLrjVkrVcuSuhQbvLdzyEPsvrKawNJfC0lz2X1hDXNJukrLjcXZw\nRy4znFyVqks5fvEw1zPrl4rZ1kiSxO///EjX6UF0nR7E+aQzthap3ojAFigee74iY5Bza0/CX+5v\nY6nqh13p60BmgTt/HO1LwOyFeN+sH2r7/IhvyC/JZmPsZyz5ezruzr48P+IburcawbSB7xPkUX31\nmlnLHmXt/p+tLb5V+OfU3/y253v++/1MW4ticYSnN/Lb70NEd+fU1D8rjmftTCTn0HUbSlY37Gv6\nOnIhLYg/jvblgec+xXPAftJWj9Nb3w/p8AA9WqUT7t8VgNGdnyC3KIN+bXTT/vC5C8j8ezC/fhlL\nbnHlXvXr3z5Lek4qD480Uj+9kfHuyrmkZuu+9DEXDlp/z91MZIMslytfFtYWWVhb1Gcry6DJXBxQ\nZRSR/c9VvAaE1NC7cWFX+npwJdOPhdtHM3PEn7p8+WWWfb8V95O2piW+bvpuuh7OvkTP+QnvIbsR\ncsGPB3eRW6zVayNJEotWv4Wvhz8T+jdea/fC399g5c4VthajRkRomMXHlFRaEt7bR9js/nj2blFt\nqvHGjF3p60mxypF31k8EYGKP/bg7FRHy6HeEPFpzBN6VUxKXT2hxcoPifMP3X//2WRwVjozubb2M\nu3Vhb9wOzl45yddbza9l36B4eiOUls/rp3j+NaSDX1W8biLpH/WwK70F+f1oP9yURbQL1E15XZUl\nDG5v3Gof2kkwZ72cvT9r+ehe43eLl1dM53rmVR4eOcNqMpvKyYQY/tj7E6v3/ohao669g42RRUYj\n/KxgVZfJKXFtQ8GZDFwjTSsr3tgwK0eeRU/cyHPkWQIhtLg6lnBHjwOE+mRW2+5umaba9xRyB7zd\nfFj6zCratoystp01KSjOZ+TcnuQVNZGgEh8/FA88jlBax2FGe/YkwRGX8BkWZpXxLUV1OfLsd3or\nIkky8kuc+W7fEBQyDVP67zRo80dMX6D6evBqjYq0nBQmvTkEH3c/Pnnqe1oFRODu7GFxeU9dPlbx\nfPL8UTW0bOTIZFZT+H8DdqVvINRaOV/9M7ReY2TmpTN5/ihG97rDwG33ydtm6b2OSzzBjuObjb5X\nTnFpESs2f1Lx+vMN/6rcplZD+AYgAopqb9hIsSt9IyD89QFceuMfk9tvPPyHwbGdJzbrvc4uyCI5\n65rR98rRaDXEJ1XvKdhUUYy37q6H8AsgectRPCL8G21Bi5qwK30jwCnUs95j1JRfrqnmnqsrwrfm\nsl2WQJUnUZpWhHMTVHq7R54dO3VAPnQ0Z2eZXvikMWFXejt2mhn26b2dRo9MJq+oLKTVahBChhA0\nCX+Bxohd6RsBMic5zuFeFF3KtrUojQ4/jwDemrqY/lE3A7Dl6DoiQ6LxdvflsY/uJK4Z5xqsK/bp\nfSPAwcsJn1vDbC1Go+ONBxfxzrRPKxQeYESP22gVEI67swfvPbKUqFZdbCaffPg4klcaryLTmLGp\n0ufFptry9NViC7kmDZxC7/YDGvy8jZHx/e5h94IzjO93d42JQ1sFRLBi5h9GcxSUo020TP1AY8ii\nOpP8Uxypq8+Z3deW332bKr0pxfZsgS3k+u3qNg5lnqq94b8QF6Ur3dv0pXubvhz/LJk3H1qEh6uX\nScEsLkpXjn5qmH+wHOmK9ZQeAK2EVFq9G3V12PK7b1/T27E5c++bz219m24cRu7RZHyGh+Hg0zTK\nVdvX9I2I/3vgf7YWocH55sW1FlH41+9fAMByp/Es2pBV7/HMoeBUOuqckgY9Z32waZSdTU5sx04z\nwliUnc2U3o4dO7bBPr23Y6eZYVd6O3aaGTZReiHEKCHEGSHEOSHEbFvIUEWWBCHEcSFEjBDiYNkx\nbyHEFiHEWSHEZiFE/cPgTJNluRAiRQhxosqxamURQswRQsQLIU4LIUY0sFzzhBBXhRBHyx6jqrzX\nUHKFCCG2CyFOCSFihRDPlB236TUzIteMsuM2v2aALvtqQz7Q/dCcB1oDDsAxILKh5agiz0XA+4Zj\n7wEvlT2fDcxvIFkGAt2AE7XJAnQEYtBtu4aVXVPRgHLNA2YaaRvVgHIFAd3KnrsBZ4FIW1+zGuSy\n+TWTJMkmd/o+QLwkSZclSVIBK4EJtfSxJgLDGc8E4Juy598AtzeEIJIk7QFu3G+qTpbxwEpJktSS\nJCUA8eiubUPJBbprdyMTGlCuZEmSjpU9zwdOAyHY+JpVI1d5PnSbXjOwzfQ+GLhS5fVVKi+ILZCA\nrUKIQ0KI/5QdC5QkKQV0HyBgy2JlAdXIcuN1vEbDX8enhRDHhBBfVplC20QuIUQYutnIfqr//Bpc\ntipylde9tvk1sxvyYIAkST2AMcBTQohB6H4IqtKY9jUbiyxLgAhJkroByYDNEuwJIdyAX4Fny+6s\njeLzMyJXo7hmtlD6a0CrKq9Dyo7ZBEmSrpf9TQNWo5tWpQghAgGEEEGALSODqpPlGhBapV2DXkdJ\nktKksgUpsIzK6WiDyiWEUKBTrO8kSVpTdtjm18yYXI3lmtlC6Q8BbYUQrYUQjsC9gPHC7VZGCOFS\n9muMEMIVGAHElskztazZQ8AaowNYSSz0133VybIWuFcI4SiECAfaAgcbSq4yZSpnIlCeiK+h5VoB\nxEmStKjKscZwzQzkajTXzFoWwlqsm6PQWTTjgZdtIUOZHOHodg9i0Cn7y2XHfYC/ymTcAng1kDw/\nAklACZAITAO8q5MFmIPO0nsaGNHAcn0LnCi7fqvRraMbWq4BgKbKZ3i07LtV7efXELLVIJfNr5kk\nSXY3XDt2mht2Q54dO80Mu9LbsdPMsCu9HTvNDLvS27HTzLArvR07zQy70tux08ywK70dO80Mu9Lb\nsdPM+H/Myco4fEuDKQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1bc052b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r, c = portrait_bi.shape\n",
"Paint = zeros((r, c, 3), 'uint8')\n",
"\n",
"P_R = P1_c[:,:,0] + P2_c[:, :, 0] + P3_c[:, :, 0] + P4_c[:,:,0]\n",
"P_G = P1_c[:,:,1] + P2_c[:, :, 1] + P3_c[:, :, 1] + P4_c[:,:,1]\n",
"P_B = P1_c[:,:,2] + P2_c[:, :, 2] + P3_c[:, :, 2] + P4_c[:,:,2]\n",
"\n",
"Paint[:,:,0] = portrait_bi * P_R\n",
"Paint[:,:,1] = portrait_bi * P_G\n",
"Paint[:,:,2] = portrait_bi * P_B\n",
" \n",
"imshow(Paint)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the painting has the Andy Warhol's style, but the color sections in the above image is not correct because patterns have overlapping portion."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1ef51ba8>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RcAx4e3wGEZkH/AGwzn3mSiyug5P9YvsxNoBPP/2UnTt3RnQJQGxsLLGxsZ5l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\ndWhj02g0UYc2No1GE3X8f+o+cnVNJYYJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1d066588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"P2_new = P2 - P1 - P4\n",
"imshow(P2_new, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1f2ca6a0>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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FEVs8WNFb0UdsJ0+ejPiC6dSpU6WPGzx4sI8vTxMPQS96u0ZeBVq2bBmx/9QfqFRkxYoV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1db42710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"P2_new = where(P2_new > 0, 1, 0)\n",
"imshow(P2_new, cmap = cm.gray)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The new Pattern 2 should be able to solve the overlapping problem"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P2_c = color_pattern(P2_new)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1f630828>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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H3kZBVRpzhxmPuZJ7KU96R/i5Srg63tkubd128j+oZc7sHXA9ADtjWjZBd8w2\nP8Meccr8XP30yPZHlVlpPxJck8GwosN2kbGn2TfFnQWbOz8tqagvZEvy51Q3lDA26momDjROmycN\nXISncwAyqRPHsjYyNso2Z6ak/N1UNZTg5xbG4OBJVt/XbBx1InsL+9JW4yR1pk5dibdrsJkZ98DX\n/872U9aZlXeHfqf0fu41BHlW8dHh18zK95w3JiusqC9g0MwEhoVO7wvxAGPc+KGh04nzWGrXdpU6\nFVc1fc7BxUfJ8hnCpnZGKktKDvDIvpalQriNJx59TY2HlLRBCmLSO8/o05xk88CFn/FzD0MqkTEt\n9hYKqtKpbijtMAx4eyQX7GVz0mdodCoGB02ySekv5voxT7P+1AfoDfrOK/cA/dY4x5L3VUV9AUs3\n9PzTsiM8nP3wcgkkwrvnnqnh1elMy1zL1AtrcFObH2sJogE3daXpNTJ/D0s3LGLphkWEV6ebXv0N\nvUygxl2KLX4prk6eqDS1qDV1AFSrSqhvrCLQI8riPfWNVfx0zPw4U6NTo9dr8XD2Z1HCc7bLbtCh\n0Rk3ZN2VPmh0anSGtg8vZ7l1Kcq6Q78b6asaXGmMzkGQa4gJHE9a8ZF2aolklCYywL93UgZ7uwTj\n5RJoFu7pfN6rjPO3fI+9WJDyDQtSvuF/wx82lSm0DSxI6btIOD3ByPw97B14AynxzkRma/CrsJyz\nzNnJjWDPQRRWpzN+wEKyy5MY2HRuvi35SxaOesLivVllZ1h99B88P/8Hs/LREVeh1akZP2Bhl+Qv\nrsk0ZT1afuAl5g9/hHOF+0kvOWaqU7lrGjcG15MUZAzD1lMZcfrdSF9c44VqzGkkSjULRz5uMYSU\nshcjwegMGnRNSR383SOJDZzATSN6d3f2hjOfmF6Xm8IDzE9piVB0YkzH36270pe4IKNp86Yzn3A6\nb4fpmq9bKNF+7ZsA55QnszbxfXQWoi11VeHBmBNwSMhUAJQyo19EQVWaWZ2Cr2+n6tN7GbxmLrN9\ninosVHa/U3qA9afHMvDrRxj+3lJuGPMMAe5tY6t9vf95TuZs7ZWQS7XqcuoajVPsB6a/y4nszb0W\nNPN3RdPfsjSgc+Oji0NLixgtKQULIacbdSq+O/RX6hormroSEUWRT3cZZwVHMteTWXaqCyIb21HK\nXc18CGpUpW1MuD/c8SD/+OkOXnj1n/y2+HHE51/h6hHHbe6zMzpVekEQvhAEoVgQhNOtyrwFQdgq\nCEKqIAh5mdcDAAAgAElEQVRbBEHwbHXtRUEQ0gRBOCcIwhy7S9zEhZJAXAenEfH0B0SHD2y3zqYz\nn/CvjTdyvuiI6WVv9AYdRdUZpve5FedYMsaFEI/+YxfeX3h256P4N8WxKwjuWPEnD1rEpIE3EBM4\njvHR13IsawM6g4YlE19tt77J9wF4Zs53HLjwC5/veYpadTmZZacYH32NxRmCJerUlexI+YZGXQNq\nbR3ldcYjubrGSjYlfUKIV4zFe3MrziLq5MgLA3FT2DcYijUj/VfA3IvKXgC2i6IYB+wAXgQQBGEI\ncAsQD8wHPhZ6KBLCulPjAPCZtZerZ13D7MGWEzP8dPwN08veaPWNJk+yuUMfMEWDcWB/fFTFjMw3\nHsUemNT58m3W4DtxcfKgsDqdvMqUNtfr1JVsOP0R5XX5rLko9NqZvB3EBU1EECSmTUBb0Ru0jAq/\nEqXcFYPBgE5vvknn1EEugx0p32BocMHtYAKh3hVd6t8SnSq9KIr7gIu9Hq4Dmv0tlwPXN/1+LfC9\nKIo6URSzgDSga14tVvD9EeN6ftDS10zrpc54b9s9ppco2teee0/aD6assg56lkaFwLFO1vYAM+Pu\nsLjvo9bVI5XI2X72K7Pyj3c9yj1T3mTSwOt5eOZHxId0LSOyp0sAvm6hANSoy8lqZew0LHRGp7lt\nPt39ZJf67YyurukDRFEsBhBFsQho9s8MBXJb1ctvKusRalTO1KqVyNzr8HD248krv+Tuyf/q8J4G\nTQ0NmhqUcjfyL9pIaaa01voAhasOvwqAt0sQj8/+FI1M6NBZxYGdEAR08s4nka4KT5NF3Fubb2PF\noVeobijhg98e4OdjbzJl0E2m/ZhmVJoaatWVOMmccVV0P2ZCYfUFvtz3jFnAkkadyux9e6g0Nd3u\nuz3sdWTXpd2ywpUtjgluw/1xH25bGKuyOk9O50YyJcYYTCG18GCHXnatmT34LnLKkwhrCg118ML/\nmDTwBgA2nP6YmICxTIm5qdN27py0lLWn3mdw0ETkUgVFPlJOjJrE4hMHcO3lBJe/N8p9ZFR5SPGq\nsd7IpaqhiF9OvE2tuhxnuRtrE9+nuKZt8IrNSZ9yZ1OQzq4gigZ2pxrTeh/N2tDmevtHzd2j9kwJ\ndWc6N/XuqtIXC4IQKIpisSAIQUBzsLh8ILxVvbCmsnYJXmK/lMt16kr2p1vvi7w1+f94bPYnfLbb\nGKSxor6Agqo0bkx4nutGPcUnux9Ha2hsN3VWa2RSOQuGmweZuOA3ggYnd4fS9zBV3jJqO1F6tbae\nXanfmd5Xq0qpbvKBUGnryLbgX1BUfaFbMfdFUeTAhbbutT2J+/AAs4GzeNXZdutZOw+9OL3mWuCe\npt/vBn5tVb5YEAQnQRCigUGA/R9prdh9fijFNZ4MXf4AuFkfcKFGXca/Nt5EWV0uZXW5GEQ9ZbW5\nVDUU4670RRQNHEj/mePZmzs99lPKXduE7Kq2o+eWgxZmp/9IWKtlmVopdDjNFEUDtWrbNsI8nP0J\n8hzYrSQbVXYImmoQDTT0wBTfmiO7lcABIFYQhBxBEO4F3gCuEgQhFbii6T2iKJ4FVgNngY3Ao2Iv\nhebxDhG49bXuHRSU1+fz8c5HKK5pOYLbkvSZyZLKFr6c+FrnlRx0myPj3UgZbDl09MmcrTa3+cC0\ndxkc1HXbeoBPdj3WrfvB6C14NDOTynr7Gpp1Or0XRXGJhUtXWqj/L6Dj3bQeIiZwHCFelW0snWxl\nS/L/mb3/7dxy6hurrc7X7qB3OTHGlfh2Ao1sTf6CY+2spzvjx2P/4o5Jf++yPDtTvuu8khU4yZR4\nuVzLmdq2k+UlE4xHl9uSR1BaZ9tm42W1zeym8EIhsy0ybnsUVV9oU3YsayNHMtc3WVgZ0OobTa/W\nBJXoGHzOaEyhtRBjzoH92THTvU3ZnKH389LVv3DtqKeQSZyQSZyQWvE3yalIZumGRexP/6nTHfaL\nMRj0TI25GZnEutiGXeHRWZuJ8islyq+UB2b8ZvP9/c7hpiNO5mwjs8zyaiLabyQyqRNpxbbbNF8z\n8nFO5+1EQEAv6jiVs50AjyjSio9y+8TXzBJE+FTqkGlFlk17l2d2P96lz+LAMoNKT5HXgTXbxQwL\nnY6XcwAh3jHklCezsumYtTN2p65kd+pKrh/9ND6uIVblWTiZs5UtyZ9z7ainWJv4ntUy9iaX1Ugf\n7TeSgA5cJgVB4PrRzzAyvN2VSYesOfkOGaUn2Xb2C3acWw6CYIrwKl60lRSdpcG5hwI5OoA551e2\nKav0llEYZD6K7z1v9JTLqTjLmpPv8OvJ99jfKuLu7Pi7repvzcl3OJO3y+L1swX7TCcCzdhD4XVy\nLblD2s46ATRlvmS99STqvOB2r3fEZaX0Pq7BHWaMyShNRC51Yt6wBxnYTcu58ro8zhbsRWfQsOrw\n67y1eQlvbV7CD0eMZ7sLNtkev85B11E7S6hxN/d3mDjwelSaOlYdfo0ZcUtIKz5CdvkZZsbdwbNz\nV1htPfns3BXMir/T4vW4oAm4K33tbkGnl+qpCjSP3Dw7/gyezg3o612o2jON1D++ZXO7/X56PyM2\nmUCPFm8leQdx4u+dYgyVLZXIuHXcX1hx6BVun/gam5M+M0tpbStafcsmUl1jBdllxrPfcreZbIi/\nh6vPfd3lth1Yz7FxroQWaHCrN86y5FIFcqmCPzf5xg8Pm2lWv7MN39ERcxgSPIXS2pwO8/s17xM8\nNGMZAAlR8/nu4F8prc1BKpG1sfjrDjKJHkGAhvODAFCG2R5Xr1+P9B7O9UT7t5yHug5JRRGWZ7H+\n4YtSLN3eA8dqxTVZrDj8CisOv0L1r9+R6TuUMhfbp2AOOubK1FXtlicNsz4mYbPXmyVO5mxlxeFX\n+DXxPXLKkymv69xdOrfiHNvOfsmSCa+ikLviLG+7wdhVfFxrCfcup+j7G8ld9igAoQ991cldbenX\nSu+maCTEq+UpqsqOYM1vqy3WP9vLwTLr9myiwHMg1c4OQx17MzP9Z+a0CqzRzIWB1qd7Ts7fY3Xd\nAI8oPDr5O9aqy/np2BsczVzPJ7sfp6qhiNI66/04OkOWEUn5s/+g6HujebjvvK24DGp/zd8R/Vrp\n75myy/S7qJPSmBdCTXXHrq3tPa3nDXuQl67+BS+XwHbu6Dq6siKq162kyg6psR2YI8HAzAv/Y1Lm\nBlNwjWZq3az7t75j0t/bJCF1U/i0CbTx6Kz/opS70tDYsXWcu9KXOUP/gJ9bGDKJHD+3MNOrK3x0\nItzsfclrF9AUBYHeuCqXutZTo7P9WLjfKv3YKPPAjoUrbqX4h5sYbMGNspmv9j3HhZITbcqPZ21i\nUMBYu8ro7unGwnglpe1kXXVgHxae/YKZF342K9s93boptZdLIBMHXm9WdkX8XchlxtlCpO8wkxMW\nYFXknKGh03hwxrI2r0kDbyDMe7BVcjVz/qlXqTlmDJEdnTiYBSMebVMno9T2gapfKv3kQSlcEW/u\nKFHyk/GP05m9tEavYt2pD8ipMHdGCPGKNbPeumXcy92W01VTw7zU75iXah8LLQftMyd1JQta+cTX\nuUn5xfkQJTVZNGob2Jdmecl3MXvSfkCrMxrkDPQfY3YUV9I6A5GNzBp8J1F+I2y6R6/WkfPeUc4/\nt4PYg8PbrVNcY7vrb79Teqmgx9+9BqmkZUqX8kTLsUXzkVlHNGiq+e7gy9Q3tuz6B3sNxFnujkxq\nzAKz+mjX3SoBXOQCrp2kjnJgP6ZmrmNi1kbAGCo7In42G5M/48t9zzI15hYAk/OKRqemQVPD0g2L\njDYXTTjL3VFr6nh6rnGvQKtv5NpRRi/ME9lbSM7fwwe//cFUX6WppUFT067VnsGgZ23i+2Zl02MX\n89LVv/DEFf/Xpv7FKGQuuCo8eX7qKp4a+DlS4aKDNokeibKR0lqP9hvogH53ZDcosIihIS079A3p\n0ejrjA4JZXV51KjLGRE2y+ye03k7223r/e33cvWIxwn1jsXPLYw/zVlOWvExUosOmupklSdRY2M6\nqgE+Up6Z4YGXI5hGrxJeeZ4TYbPQyJxJHeyMV/wE7vFqSQr54W8PMnfYg5wt2Ntmqi6VyFmU8ByR\nvsNIyt+Nq5NnU4z8atyVPoyJnMuYyJaocTkVZ/nhyD/Q6tXMiLudKYPMcy0IgkCk73DK6wrwdTNf\n3smlCkK948ivTLX4WS7OvnM6byfRfiPIKD1FfPAkwpdsQLJgG/XHJ9r8PfUrpZcIBiYOOG9WVn1w\nAtoyPxo0Naw58Q6xgeOYEdfiI7T+1Icdtrnh9IfMHfqAabMlJnAsMYEta/v8yvN8e/AvprTC1jAx\nUuFQ+D5gdMEetsUtQSMzHttNGXQjlLXEx79+zNNtklg0ozdoOZmzlUjfYShkLtyQ8BxVDcUWQ6qd\nytmOVq/mxoTn8XNr2XC7UHKCkznbEBGpb6wk0ncY6099gFrbssHsLHdjRNisDpV+f/pP1KjKWDjK\naPCz8fR/uWXci2w4/SGRvkMJvvMHDqTHUtlguwee0Euer207FgRx1LqbO6/YCqlEz5/n/2pWVvjt\nYopX32h0hMGAgITmWJwbz/yXRKvSUgs8PvtTPJz92r1qEA20Dg70xkbLcn+72AdBgB6KB+qgEwwI\nPD/iLQpfvJ+gvy7jvuPmo+zSDYss3jskZCoCEuYNe5Di2iy+O/gyAgIvXv1zm7qiaODdbffQ2EqZ\nH539Xz7a8TCt/1cWjHiUEWGzeWPjxVGYBKwJOCXQbOptQEBAROSDNBmBA0UOpMeyK3WYxXsTF/6I\nKIpt/hH71Uh/scKXrLmG4tXGaZUgCAgYzTBFUWTP+e+tVHgAkQ93PIincwBzhz1gKnVX+hLoEUVm\n6SlEDJzM3kpaSVtnHW9ngcemuBNvVTx2Bz2JBJHCF+5FFhBCydsv8I4WrhpyH+tOLevwvrigiVwR\nfw+/nnyXjLJEXJuO8i72q2hm/akPUWvNo+R+e/Blbh77IieyNyMIEm4Z95Lp2j1T3uTr/X9uVbul\n3Wkxt7I3zTyjTkstQ6vfReYMvR8v14006iqoqO+a4U+/UvrW5H95J6X/u7bda5uTPu1S8IRqVQmr\nj/7T9N7HNYRI32EkNk3X2uPeca4Eu0sdCn+JsLopY6/g7AqNarTqGrMMNxcT5TeCwUGTGBE2i9VH\nl5JTkUxs0HiS8ncTFzTR5lj3zctDg2jgRPZmxkTOA4wxGC1hSeE7okblwum8tklerKHfKn3F9pkW\nr53M2Uq03yiuGWl0a22942pTH/UFVFjIVHNljILrh7rg7eJYu19K7M9q5KXZHizd0WJXn12eZLF+\noHsUYyLn8v72+6hvrGLu0AcYEzmP7We/wknmzKzBd7R731VD72Pm4DvM/rdqVeXsSllBtaqU7PIz\nhHjFUFlfRHLBXrvZ3wfd8T1O/hrowlq+mX6p9DnvPYrewlFFRX0BwZ6DuG3C36hqKGHD6Y/wdQuj\nvC7P9LO7TIhw4t5xvZcrz4F1fH20nrJ6A0t3WB9X7nDmWg5nrkVAwMs5kC3Jn7Ml+XOCPAcyLupq\ns1RUrVHK3VDK4aWrf+F41iZO5e1Ab9BRUV9AbWMFdY2VnLdzxNtBEbFMmRyIID3QrXb6ndKrc0Jp\nyGibzbNR20BOxVkadQ3cO9XoTVdam83NY1+gUaciMWcboyKu4tNdjxPpO7zdtbk1zItTcmdC96Pz\n/J7Ydl6NziAyf7D1zjBdYVSoHA+lwM9nbE8DNTXmFkpqs6lSFTN54CJGR8zhVN4O9pz/numxizu8\nNyFqPglR81Fr6zmauR5/9wjyK1PxdQ01hkVvFXOxO8z/Rxre02y3tb+YfqP084adBECdG4Y6M6rN\n9eUHXiTCdyjzhj1oKosJNKa+MiYt8GL10X+iM2jbjXNuDdfEK3s9G21/JrtSx6eH6iio0WMQYW9m\n+6Gnls73skt/OZV6juUZswfPGKBgTqySZWNfp/gff+z03tSiQ7gpvblv6tsEeETx6a4nGBSQ0MYd\ntyOUclemxd4KGP/3FHJXDqT/ZDeln3aHfZaS/UbpvV3qEUXQ1bbdsaxrrMRJpjRT+NZ88FvLjryr\nwguN3vaRQC6BEA8pcqnjKA6gXmNArRUprTfw9+3WTaezK9u3dbh9ZTkLBiuZF6fE17XriT8rGgym\nPnZnNHL22pcptULhAaoaivnD9HcBYzqpQI8orhp6X5dlCfIcQGrRYU7l2h7Drj2MMQEsxai1jX6j\n9ACiTkbeRw+1Kf/+8OumP1h7PHGFedab3IpzrE18n2obYpPfNtqFGTa4bV5uFNboSSpqydt+NFdD\ncnH7edy7wsYUNRtT1Dw00ZXpA2z/nsvq9eRW68zKSt/7q1X3xgaON/OwbA6GcTHni48S2zR7BDiV\n+xs6vcb0PiFqvll9L5dAxkTO43TuDnQGDZcK/UrpLTF3WNsHgSVUmlr2p/9oc5TTuXHtr0cbdSLv\n7bWcyWZcuBOzB/Xfh8XKE/XkVuupUhnIqbLeKrGrfHGkHpVWtPh9t8dbu2p4aKIbLlbktgvwiMLL\nOZDzxYdNZeOiFxLp23m2JTeFt9l7T2d/U5DNue3MMgM9opg37EEGB01Cb9CRlL+b5ALrffg7wtO5\nnhFhWZzOi7L53n6t9EYrPJFwn85dFg2iHlE0oNGryShNtEv/eoPIfas7zp5yulDLF0fqARgf7sRj\nk427/oIAUsmlu1S4fWV555UsIBGMn681/q4S/rPQqDS6Vt+b/iIrV50BvjnegK+LlLHhlkOfiaLI\njvRGvjxq/G4f+cW6IzFnuRuLEp7j012PU9lQBBj/N/QGHVJJx+oQ4jXI9Pu6xGXMGnwnd0z8O98d\n+ishXjHoDToSc7aZ8ikODprEooTnCPeJRyqRMTBgNJUNhV3Ky/Dmplv5QSdHkBm/MCeZHh/XrqXQ\n7tdKX1B1nqyyM1Ylmtyf9lOXjCDaQ6U1cLpQy0+nbdsbOJKr4cgPxn/2YA8JNzdtCk6IUNhFLnsy\nPEjOmSLL0/dwLynB7u2vv+fEKokPtGysJJMIfLPYGIXms0N1qLRGw6ekIi0NTb+/u7eWJ6e64eUs\nIc6/bVu7M1oU3hayy5M4lrmBAf6jqagvJLMskVWHX2VI8FTigicS4hWDp7O/xfsNooHUokNUq0pZ\n9tv9pvKv9j2Hs5MHsYHGzOwCAvEhU6hqKGZ/+k9cPcKY8eaeKW92aArcEalPv0n0C2+jCCnu0v3N\n9Gul93YJQh7YucLsOf89cUETOJ2306Z1fGvWn1VxzRDjlLO8wcCyfV17yjZTWNPSxrRoo3JdHa8k\n3OvS+JPcmeDC8xuq27320ERXBvjICLODrA9ObLF3OJGn4T97WpZKy/bV4eMsYWiQnDsTXNiUojad\nnjTquu4zklywFz+3MK4aeh+fNUewFQT+d+Jtrhv1FJ6hHSi9Qcf/Trzd7jWVpoZTudsBo8ns/068\nTahXHD6uwew9/4NpZ//KIfex/eyXNsutzoyi5vho/EO6HsQV+rnSuyg8cbEif3iU73BWHPwbjV3Y\ntW/mipiWdfmrW+ybVLD5KOtIbiMKqcB/b/Sxa/tdIdhDyo3Dnc3OvP8w3pXxEU49FidgTFjb6XyF\nysDezEaO5Wl4bqY7D/xYwUtXeDAxUsE3xzsOjWaJwup0CqvTSW21rj9bsJe4oIlklCYyKHAcCln7\newpSiZw/zfkGgP/ufLSN/f3F5Felkl+ViiBIkEmdmDTwBsZFLQBEtp+1Pahlwdd34DnhGE4BZTbf\n20y/VnpraDav7C7//K2aO8a48sH+WlStRpk4/5av8IVZHjjJjIvZj/bXUt7QsmBNLTXfWW6PRp1x\nBGteTz8z3b1dRegNJIJAkLuUOH8Zf7vK9ugsXWXFEl9+S1O3mbqrtCKvbzM+bF/e3P4MxFY0OvNB\nILXoEABDQqfhpvBG0WTf8dbm28zqRfgMY3rcYjN360CPAWaJT5vxdgnGTeFFbuU5dqZ8y86Ub7l7\n8huMj15IfWNVhzb5F7N0wyLmDL2fiNQYh9J3jH02yyZEKPghsYEqVYvCXzFIwX3j2zfHfWyKuT3B\nurNtZxmnCjScK7H8MPjPnlpWLOm7SLqToxRMjmpZPp2NDKTEy3bz47GpubiprT+yGuQnI8RDSkEH\neee7w6CAseRXpqLStn/q8sORv+Ou9MVN4U2AR4tTy6jwK0nM3U5ORRLfHTSGU/Nw9sfbJRBPZ//2\nld41kEVjnmNX6gqONUX2WXn4VRaOfIJZg++0Sembyf7303hPs80tvTWdKr0gCF8A1wDFoiiOaCp7\nBXgAaF4gvySK4uamay8C9wE64I+iKNru7mYndqeuokFjn1Fhd4aaGnWLws8cqOD2Mdab4y4c0na6\nOGOAgrpGkec2tJ2J3DLSmXFhfbvBd3pAMEfjI0zv65wVaOS2jxPnIwKQGgzEZxUzOTmr0/qR3jJe\nmO3Ok2t6JktQlO9wyuvyLCo9GMNZ16rLKaw2BmAdHjqTRl3b5YS7wodQr1gOXPil3XYyShP5Yu8z\nZrMCrV7NhtMf4Sx346EZy2zKjLMv7SdiAyeS8fqfYYntDwywbqT/CvgA+Oai8ndEUXyndYEgCPHA\nLUA8EAZsFwQhxn456kVk3hXoKttf86q19UgEKXKpghM5W9if/iNPXvGF2S5rVymsaZmqh3pIeWBC\n1xxu6pROaORSvrhmEmPP5TDyQj4fPNTSliCCd13X9x66S4NCjtpJxhfXdC8/e2uq3YwPvP0jBrB/\nxADuX3cQn04+o6+LlBVLfLt1dGgvfFyDuVB6ggZNDS9dbVTudYnLyK08R35VKqHesTw040O+P/J6\nuxvFlQ1F+LtHkBA5n+PZmwBo1DVQXl9AhO8w3BQ+1DW2HP2OiZxHXsW5dgNxNmiqMYg6NMVdD6tu\nTX76fYIgtOe42968+Trge1EUdUCWIAhpwHjgcDt1bUYi1xP20JdkvfFsu9eT8/fg6RLAQP/RbEn6\nzB5dtsv0AbaPwHpB4HhcGCmRgRT7GD0Ej8VHcKzVSAogGESmn0onurAC/2rbj6S6w5HB4aSH+pMf\nYB9beEt8ec1Epid2/hk3nLP/w89D6UeQ5wBGhl/JLiujFE8ccD0+bqGkFR3hUMav+LqGMDBgDPOG\nPch/dz1GXmUKRzLXMWvwnWSWJpJVfqZNG6W1OZTWmie+yChNZHTEHJZMeJU1J9+hpDYLwKoUaw0a\nJ3Ir2o/01BndWdM/LgjCncAx4BlRFKuBUOBgqzr5TWU9Tn1jNUcy13fLXtparmlnqm6JlPAATsaG\nIgoC+f7tK5O2QkXWW4dM7wuG+jPk2mG4Nq2DR1woZGhWUfeEtoLdo61P/9wdREFg9+gYTg9swFXd\niG91A3OOtY0Xt/Jk13bnLRHwwts4f76cCN+hRPgOtUrpF458kk1n/svs+Lu5Ysg9ZJcnU1abg5dr\nEHKZklmD76JaVUKDpoY957/HQ2n9HkxzrIbNSZ9YvQwdG3U1bgpv6hsbuFAaZHVfrenq2cvHwABR\nFEcBRcB/utiO1aw6MrXD63qDlmj/kQwKSOBfreKRfbLrcW6f+HpPi9cGjUzKW7fNZt3UYeQFeFtU\neIALr+zFa3IY9Ull1CeVUfzDOXbevpH1928n29WN9Qlx5Pn13A66VirhnVtm9lj7lqj0cCEvwJtT\nMaG8ddts8vxbPmN3zuEtoYgbwa1TbMtfuO7UMtyUPgiChOzyJCJ9h5IQNZ+B/qP5aMfDHM/ayNio\nBcgkTugNWpOVnzWU1eXSqDO6hFsbZMPHNQhZB0laraFLI70oiq1jQn8ONGeGzAda5+IJayprl8KV\nyabf3Yb74z68e+mfKury2+QRnzl4CSsO/a1b7dpKkbc7v8ywPrHB4A/mUHOyCO9ZEWCAyt0t08Az\ni9fgOTmUbx8fy42JqcTm2RaOuzOqXJWsmzIMvbRnIwDpVTqqDzb9K0jAbag/otaAIsQNXU0j2goV\nq65MYMHBZLxrVaz4ufvBTi6m4cB2ds2Yw5U2BNloJqEp7FVrHpv9CWsT3+fbA3+hrC4XuVRBXNBE\nssrOmK3RO+KdrZZTYHeEx/jjbcpqz5RQd6bz/w9rlV6g1RpeEIQgURSbH2mLgOZ4RGuBFYIgvItx\nWj8IsBg+JHhJ504OtpBVfoZgL/Mp6tbkL+zaR0dsmBiPXiqhxMudemfb1v0eo4PwGB2EaBDxmGCM\n1pL7wTEMKh3VB/IxNOhY7injn3ZeLOUFeFHka3vCBJsRQJBLKP7xHOqsalwH+2LQGlAEuaKr1aCr\nVKOM8OBjwLNORXVF53YN1qIYPBJRp6P8838z8D9zTOVXDrm3XQOZa0Y+wfpTH1jV9rWj/khJTbYx\ntqIgMCx0ulXpr7pCgHsUA/zHAHB23BkoM09p5T48wGzgLF5lnsWpGWuO7FYCMwFfQRBygFeAWYIg\njAIMQBbwEIAoimcFQVgNnAW0wKP227mH/2xZyP1uHZvRHs74tcPr9uClTVVmgR/ORQSwaWI8eomk\nraeJjQgSAe9pxsmS54QQGtIqSH9hF7WJxdQCy2OV3D3WPpF7VE4ytoy3Lb9aV5EqZXhPC8dzYiin\nF/1M/TnjrrwqvWVaq84xjsD2PqhrTG27sQYwwH80xsMpc+ICJ+A+wYfCqnTGRy/k35sX89u55VwR\nf3e77QR4RPLwrI/496ZbSSs+RoB7FJmN9nHqao2rwgsf12AG//ePbDxle5KLZvpV3HuAuKB8xu1N\noOK3WW2uHc/aZPJwskTzkUszX+x9psuRdJpxGxFA5LMTkHv3nAtt7sfHKd9kNP54doY7o0O7b6mn\ncpLx4Y3Tu91OV6g6mE/W0u7FeusK4/+z3TS9r1GVsfLwq+0GP/V3jyAmcBxHM9dzY4IxdHWw50Cc\nnSyHna5vrOK7g39lWOgMdp9faVe5o/xG8NTbIwi5axUf7ZhLtarzB7+luPeXVSjXcJ8hpmwj/u6R\nzMAAc5kAACAASURBVBn6B5wusqHekvQ5yfkteepvSvgz4d7x3eq37nQJOe8ewaDtOX/z8EcTCLrD\nuBxKjOmVA5EexTnak9CHRiNR9q5RaK2HhKIAY58SiQwXp/aXNqW1OShlrswf/gh5lSl8f+R11p/+\nkC1Jn5teGp3a7B5XhRc3jHnWbj7zzYwMv5JnPg8n5K5Vdmmv3430MomOkbsmEHg21lT2/ZG/o9bW\nc8+UN6hvrEanb0QmVeCq8KRGVUZxTSY/HvuXqb5cqjQ9sR+f/SkqTS2f73mqW2GKQx8ajd+CgQg9\n6COvKWugcPkZwh9PwEur5aF1Bzu/qQPsMdJriutJe3FXu9dcBnkT/ZJ56vDsd44Q+bTR/bTgq9OU\n/C/VmkQv3cbnnqeoWPERLmOnM3fSM8Snqlm2/f4O/+ZKmStOchcemfkxdepyfk18j7zKFNN1d6Uv\nIV6DTDOBZuobq3h/u32OjuODJ3PNyCdI+PUeJHLjPkd3R/p+Z3uvM8gIfvxThD+/gr7Wg12pK6hq\nKKZR20CNqhwPZ/NzUg9nPzyc/cyyiGj1arQq41N66YZFTB54I4/N/pTP9zxlMc59ZxjUOtTZxrNW\nuY8SmacSg1ZPY57R1NPQqCftufaTLsQtu8rsvdRFjlNg2z+qk58Lkc9MAKDGqeux5JoRRHCvV1Pr\nat2yRFNSj77e6AZcsuY8lTs6Tt1cXdpA4sIfgZbPqCmqQ5VZRe2pEkp+MZ7Nj1p3M4Urkij+/hxI\nBeReSrTl9jXMqV6/CnQ6DDVGJf/vzkc7fcirdfWodfV8vPNhbhn3FxaP/yvfHHgJta6BGlUptepy\nUovK2Zr8f8wafBfypqM0V4UXL8z/kTc2dd0+vhm5VIlcal9z7H6n9ABpxcFMuHYjZSsWE+k7jLGR\nC1j22/38fPxNYgLHMTWm8y87Pngy5wqNa8oDF35mTORcovxGdFnpC5efQV+noeTnVNzHBOIa74eu\nVkPZ2s6jpKQ+aZ5+SxHujvd0o6Ve0OIhXZLHGpRaHVPPZLBpYsd9GLR6Sn5OpWpfnunBZiutP+PF\nn7fo+7PUJ5fhMyeaqr25OA/0srvSe9/2CNqCbGS+gZ1Xxmi55670Ib/qPFq9mh3nluOm9GFIyFRi\nAsdxtmAfhzPWojNoOJa1EVEU8XENYVz01YAxzdqUQTeRXnK823tG9qZfrulTi0PZElpJ+JMfE+03\nEjelMQxTYXU6e85bt+4ZGjKd1pbEq48tZUTYLMZEzLV8UyfUJhpPFmpPFFO0ItkqhW+PxtxailYk\nU7QimZz324/Pf8fWY12WszUD8suJKOr4TDntuR0UrUjussJ3RtGKZOrOlNKQUo5BpaPmSKHFuj5X\nRRPznyv480zb87ipk47jNmN+5xUBtbaOmMBx3DPlTbR6DeV1+ZzJ28mu1JWsP/Uhod5x3DV5qan+\n8exN7Di3nIMX1gAgCBJmxC3hxoTnUcovrcQo/VLpAYprvCCsAInSOE1/fHaLrX1707YJA67lySta\nzuzV2npeXPATSya8ikziRElNFiFeMfi4hSIRujZ1Vl3oXuoiVyeByauvZfLqaxn7v0UoIzyo2J5F\n4sIfqU1sCZGk0GgJrrDsIWYLLhott+5M5P/bO+/4Jsv1/7/vJG2atumetIW2rBYKsocMkSUggiLq\ncR3xLPdCUfEc9Xv8neM47oXbowf3BBVlKDJkbwqUUgql0NLSPdPM5/fH0xWStkmaNq3N+/XKq8md\n+7mfu09y5bnHdV2foBrrO6uxrI6zHx1i/2VfosuWN9H8fQTBfoKPrwtvfGjV7lvDaNiya44qRN34\nuPCLeaT8dQi3nThOUpgKjQOJMBECoQmg5L3n0GcebCzWtLCA14DBXMeGzI/5YMtD3DX1bcYkXwaA\nUqFkVOIcVh18nWBNFI9c+g1TBl6PQigwSyZ+Pfo/ss/tbWwnxD8arZ9rSVH8fYMapdkOLvi0Wblz\nSV3Pp9st5DWnV0gpQ/ZWc/Dd4dQZq/n1aIMvteCR8+SFNx/73CZH3qy0WxjR5xIO5W0it+Qwc4be\nBsAHWx4mv/xYu/rmCg9drGVorDwvPJQUw9rRA8l5Y1/j+wl3jgJgwcYD9M13f/TZ15OHciJODuJo\nmIsDKIUcZHRxPz/6hlvPCCvrLDy/qYrjxW50ponXEjhY7sels2Ibyy/ZZe2fn1lkZPMJPRuy9S2u\nBSoCtEQteQaUSmo2/UTQvBsYvqmAobW9HM5VF+Ifzewht/H9/lfoFzWSmOC+jOgz06rO5mNfsDnr\nMwBGJc5h5mBr/URX8uL5+wZx74wPGl8nP/4kQaP2Odze72Yh73xiZuzi/Rd3UJTTvFTit6wvG+f2\npTXycDHUP8bKN3r1obeo0ZczacA1pMU1rWJPS72J5dv+3gm9b2J4Lx8SQ5s+jrSTBQTq9JiH+HA4\nMYbMPvJcNCm/mJgS96bramD2jgxWj0khOz6SBy5qGj4rBFzQy75fQJCfgnG9fd1m9IG+grvG+aNJ\nlJNh9t1lG4jTwMBIHwZG+jAy3pfnNtof+VjqdOizDhM052rUySnoDu2h7lA6JFtr1KkUvoxMnN3o\n3BURmEB4YC8yC3ZQrS+nvLaQK0c+SFzoAHunYdKAqwnShNfHybsmId0WRd/NaTT69tCtjT6/PJSc\n6BT8gzI4f9/nbMVxJElCCIHeKIdvqn1sV8Tzy7Ma6zWQENa+fXt7vHd1GH8+L132NRf4M29wyxF7\niQXydKFvfglsPdxiPXfhrzeyYHO995oTzj+zUzSNOnXbT+l5dYvrSUPfWhgGmMCJkczwOF8enKLl\nPxvsGL7ZhCH3eLMCOW36+SNck8Vg5c1ZXH2aIfEXU1x1hpKaPH5Kf4Nrxzzeaj8uSJiGyWxgzeF3\n+O34lyyd85XD/4M9mt/l3Um3NvpxyVlM6JdJn9v/xKv/2G3l85xVuIu1h99hWuoiYkP64avScChv\no00b2UV72XtqtY06yfmMiGtKw2z0UXEqOpSaI8WYq9pOA7VwqAY/lfBo6qvOYlwfNeP6yFtMeRUm\nPtvfFB5bVGPhdAcJZgT5KRgR58OhAiOGZqdQBGiJuPWRxtfnnrqfX6DNbTCNj5b9uWspqy0gMXwo\nOSUH+XTnP7lq1NJGjUR7BPtH4e8bjM5QSX55Fr1COidc2Rm65ULe0Pgc5gzZw9RUOc5HGVjTmFe8\nOXtOrabOWEN57TlW7HuhxbDHQ3mb0BlaXxi7/6Kgxse9FwUx64/96X1fyx9+c3QGz6ybeJq4YJXV\ndbtrQiDxwe33L7BHUph8riA/x77Sqw+91er7EdoE5g+/jwB1KGGBvRgUK4d2f7X7mVaTXMhz/mQA\nu+m1ugLd6k6vFGbunLYatcqIStmUvqpi2xgC/cK4OOVGfj263OY4naGy1b3SvPJMjGY9Ghybi/kZ\nTczZfoSDW+x/qFcO0VilzA7w7bpKNp1JXLCKx2YE8bev2rfL0RKf7a+hpMZaMsdSU03pBy8hGQ3U\n7t3icFt5ZZl8sevf6IzV7Du1ltFJl5IQNojTpUdYd+R9/HwCGdTLfo6Hy4cvxmjW897mxUwfdDNp\ncRe59P+8tfFuu7p67/9mG3fiDN3qTv/QnJUEqPVWBg+Q8uoSAvrmEOofQ68QeaGlf/RohiVMb6yj\n9Qvnby0IEwK8tt6+4m2MVsGHf7DdcvExW+ilsF280qjk1NHBforGh6oLy1d1NgG+Cqstv/Mf7UGr\nVnB+WgCVv4Z+V12DRVeDKsLxTDMWyUytoRJJsnDH1LfILNhOSux4eoUMIMgvkhX7XuDJVQtsUmCB\nLFkdoA7GzycQk9l1kU+doWnB1n9AFn2f+DcAQX7tG0F0mzv90Pgcm7INR5s8ycyLviSu3xhuOXw3\nj799J8XVZ6hQygkFtH7hzB9+HxGB8U6f95oL/Fs02j+PCSQiwPpbFhGgtEob7aXzuDRVw9pjdRQ3\nu9sLfS2+7z+O4bSO2H+/y+mbZ7bSgn2OnP2NK0Y8wIp9L5LWaxKD4iaxct+LFFae5LOdTzAkboqc\nxsqvSeBSIZRcnHIj+3PXUe5ENh17hF60md6Lm+L740NLOVboetBVt9mnv3bMbyRFWsfSn79X6edj\n4NzTx5hq/ivvbl4MwN3T3rP6MFrb3xwYM44rRz4IwOnSIxzJ/Se3jg/Ev4MUXby4l5WHavk6XYe5\nha+0T1wikTU+hAX0sruo2xIKoeKigX8gNXYib228i4dmf06lroR3Nt3TOG8P9Y/htouXNR5jkcws\nW38blXWui1IIoWD2DfHc+EYpSv8m56keG1r74tpLbcrqjL4E3Z/G8mOPce2YxwnWRPHqL39tfL+q\nrhSBgmBNFCqF7ZZUcdVpdAZ5uylc2xttRKjX4LsRZTqpRYMHMOblEHvXv1qNibeHRTJRXVdOiH8U\n98/8iO8PvIqfjz8h/tGN8tVltQW88vNfKK8t5KNtj1Jee65dBg8QGG5h0Yd5jQZvNCv4fv9Ihwy+\nNbrVN1oyKyj6bg51uXEM793ywlzqO7PxHxXBHVPfxF/d5G755e6n8FcHccfUN0mKvMDmuJKaPHac\nlPdqffwCSb34LzZ1vHRNimrM5Ja37SB08oV7KaxwPgCmsPIkFboiVEofxiTOpbj6DH+e9Dx/vPBJ\nYoP7AlCtL2XZr7eRW3qYNzfY7ia1l9OlEaTn2ctG7xzdxujXH01DsijIe+dmao/1Z0qK/fxfAAgo\nveJHtKP2smDEA6xOb9qeWTCiKWd+c2eL+cPvY/aQWxtf+5ghKad9Ps5eOo8XN1Y5pBdYWnOW3FLn\nHZ1ySw/z1e6nAYgOTmrcfw/xjyYpwvYG0hH8ejTNLe10G6MvrGzKSZf78h0YisJZNOFXFMJit/7J\nukCO6P1JCEvlgoRpPLlqAbPTbiEhTF78u2rUUpIiL0Cl8GX2kFsZ3GsScSEDUYqmtU2zBGZLz9xj\n724sqJew7kgKK0/yzE/XWJXllR1j58kfaIjYFEKBcJN+ovo8Z83mNtAeuo3RAwghEZAqZy458qc3\n0Z6MZ96wXahV9r3i4m99D1VoU5rFE8X7OVZgnZz3wdmfMby3vKIbFdSnUUMcYEdNGPt1Hav24sU9\nvLjJPVGH59M3cgSpsROaPawzAcWFDuDB2Z8RqZXzHySGDyEyqP1DcIBlpzrGkanbbNkBCJWZPkte\n4tTzd1NzeBA5z96LdvgBhhXF8PXRd4i/ZbhV/dK109iz42NKy2Wf942ZnxCgDmVAzBiHztc7bDC9\nNP3B6J7YdS8dwxtb3W/w4QFxTOx/Ff2iRqH2cXwU0VHpr7/bP9JtbXUro39h7VwWz/yBvk/8C8ms\npDarL9l//z/CgUXmJ1C8a/3LqDArycj9wkqf/rYpr7d6ju3ZK9ic9QVLZn1CYI2FD7ZU8sBECR+l\n18GmK/Laliq2nXJcBttR/jTpOYfTVG0+9jnFdpx02sPj65sG4Sv2jeZIvvM+Ji3RrYb3dUZflm+b\nTK1FgVJTh3boYYZ9fxVhM34hZPApVCYfq4dCsv33nltzHZ/v+je1BvvhqeP6Xs6SWXL64uq6Mip0\nHZMtxot7cHcC4ojAeJZc8olTeekmDbiGpeflb2gPkX0gOBrMFsH6jDSO5CdgXy/WNbrVnR7kbYsT\nRdEMTWj6Ze1995uYdX6UrJ1Gyerp6M+0/quoM1ShN9a2mP64sZ6xujEs10vPYEK/hfionNcv2F6f\nJssdTL5REJ8q+Cn9AvblJrut3Qa6ndGDvH3XP/osGt8mv2alpo6o+asInbSFwze9w8niA/yU/qbN\nHf22KcvwVWkIULctCBmpTSA0IBbomEUiL+1j+yk96WfdP7R3uh8nVrIx0z3iFnGpcOm9gq/3jCWz\noGP0DbrV8L6BWoMfL667jHc3TaOoSktRlZbSGtlLySesHHXCGYwmPeW1hUjSeVFXksUhg/fStTFb\nJM5WmdG7YXg/94K7AHml/lD+Zt7ccKfDxxrNekqr8zFL7skc9OJhJftLUjvM4KGb3ukbOFcVzDub\n5HzqapWRK0bsIDnyHCmvLSZ97AN2j/lo+z+4Z/r7jrVfeYrS6hZFd714kGqDxFcH3ZMmu0GsMrtI\nTmg5qf81bD0uy58N6z3d7jTweOFuzlXlUqkrYv/pdTbvu8KIPrOo0W/idGnHJlvplnd6e+hNPnx/\nYBRnysKQkOzG1YM8n2/4QNuioCKbQXGTeP/Cp9qu7KVTeW5Dx+QJBNic9TkbMj9iQ+ZH1Oor+WbP\nszZ1Ms5uZUPmR+zNXdNYFqAOYUzSPJfOOS55PtMH3Ux1nR8nix3Lze8qvxujB6jR+1Fn9MFUqaWk\nxv4d2iKZHQ51HJowlQn9FrLlvjt4a+hDGBU+bR/kpcN5dHUFJ0o7TjewOW9vupujBdt4ctUCnltz\nPbWGSg6c/oX0vA1W9dSqABZd+DQ7T37n0nn81SEYTDpeemMIee8dQDLZ9zR1B45IVccD/wOikaWp\n35Ek6RUhRCjwOdAHWa76akmSKuqPWQr8CTAB90iStLZjum+fT6dcD7S+H+8MQ+KmsPOjLxgybwYX\n5vzotna9OM+pMhNV+o4ziNYY3nsmL61bZFXm7xtEoDqUecPuaVRMcoX1GR+yPuNDqJ8pKNRKfGMC\nUPfSEjgooh29tsWROb0JWCxJ0n4hRCCwRwixFrgZ+FmSpP8IIR4ClgIPCyEGAVcDqUA88LMQor87\ndepbIjmygJjgclYdfJ3xfRewLbtpGJ8aO4FBvSbw9Z7/ON1uXX3M9O6E6QzJ34LW4N279xR7zhgo\nqvGM0e84sbIx30IDqw4uw2Qxsu7IfzlVku62cxV+ngGAT6Q/iQ+OIyDFffP8Nof3kiQVSJK0v/55\nNZCBbMzzgQ/rq30IXF7/fB7wmSRJJkmScoAswDG/13YS4l9LoFoPCKYMvJ6H53xJgFr2nY8IjGdg\nzDgenvOlVTSdI1w+fDF1h3Yz4L07CPQafI9mYMw4BsaMI6twF9/seY46YzWlNfluNfjmGItqyXpw\nPRaj+37onFq9F0IkAsOA7UC0JEmFIP8wCCGi6qvFAc01lPPqyzqNpXO+5MOtS1kw4gGblXpXJKsU\nQv5tXL67mhG9VEQFdkwgRFtsPqHnze1yko8lU7QMa0GAojn78w0gwc9ZdezLN7KkmYjFMCdy23cF\n9ucZKKjqnLm8PWKD+/H5zn81vl58yf9YsfcFSmryKK8tbOXIdiLBwQVf0//5aQQMcE0iqzkOG339\n0P4r5Dl6tRDi/OF6F4pBFcQEJfHd/pdYOGopfnZELpxhzaF3Gp9/eaCWOyZ0jIJJWzQYPMCzG6pY\nNCqAGQNsvcdqDRb25hmpM0n8d5e1R+GzzZRgpvVT0y9CxeRk5z3QPMGzLajYdBYB6mC0fvIwe2j8\nxWw+9gVBmog2Ja/dRcFHh+j7xOS2K7aBQ0YvhFAhG/xySZIaZEAKhRDRkiQVCiFigIYEdnlAQrPD\n4+vLbDj7SVMyg8AhkWiHRNmr5jDpZ3qTEpPH4A9uxfzHV1l18HXe2nAn98z4b7vabb4Pu/WUAd/7\nn+Cv2x9rV5vO8tR62y2qg2cNFNWY2ZKj5/Ur5DvAf36tJKfMhM4o0dYqyi/H9Ww+qefzA7W8NC8U\nH6Xgq4O1XJSs5v/WVTCjvx+Xp3V8nHp34fi5PSgVKm6/+E38fAII1kSRX5HFvtxOXadukar0c1Sn\nF7VZz9E7/fvAEUmSXm5W9h2wCHgGuAlY2az8YyHEi8jD+n6AdRB7PbHXDXbw9I5hNKsoqgoiMSmb\nlGf+jfrp+zFXBvHd/peZN+wet50n6x93w9zOi7P/4kAthwpsUynvzTNCnlx+/SeuCVoazGDQSSz6\nvEly69tDstOLztg1Bm9FNWYeXe2+tZSgSB9qyk2Y7fx/84fdy77ctUwf9Cd+TH+DoqpczJZm116C\n6rpSfkp/g+Pn9ritT+5AOyTK6sZZ+Kn97FJtLuQJISYA1wNThRD7hBB7hRCzkI19hhAiE5gGPA0g\nSdIR4AvgCPAjcHtnrNw3sO7IBWw+lkrgkCP0vmcZCj+dWw0eoFJv6RI+3x2JVi1Ii+kafgnfHdZR\npXffVygy0Y+J19t3gDlasI3e4WnEBCfzp4nPMj11EaMTm5KwWrBw/NweYoP7Man/NUzqf02HaB92\nJG3e6SVJ2gK0tHI13V6hJElPAR5zY9uclUKdScWMMXvo/9zfkUxKSlbPoGS1cznPswp3senYZ5gt\nsl910NxrqdmyjqqyYg4VGBkS270WwpxBq1b8bv+/7F1VVJyz/6OdWbCDzIIdTB7wBwBGJs7GZDEy\nJF5WlRFCEB2UZHWM+aiR06UZVmUCBTdP/A+/ZX3BsUK7A12P8bvyyGtCsOtkf55ctYDykCr8++ag\njstHqJwLitAZqqzksJRhkQiVfPf7IaOOo+dcVy9xhqsv8Kd3iHt3DILUgjB/RYuPZztx+tIahwoM\nbHFjglKRkobPkicorpAXd8dfE0mfC2wXeit1xVTqijFbTKgUPsQEJxMTnIzGR0ulrhiDqa6xrton\nAK1fOFq/cPxUclsPz/mSgooTbjV4dyziQTcPuHGE//42lStG7CD18lVIJhVnP7zB5bb0mQfRjJxA\n1WpZgnj3GQMpUZ0zBB7Xx5feoRZySk2kRMkfW1G1hQNnHfvhGRipIqHZD8elqRqPbT06Q1qMLxMS\n1aw/7h7DV112tdXrwooQquokwHqXo0HmbGK/qwhQhxAVlIjOWM3xc7vJKT7I/GH3NWrVj+97BcGa\nSMwWEwaTjjWH32HPqZ9Ye/hdt/TZ3fzujR5g1cERmC0K0hauxDeyhFPPNc3x88uzqNFX0D96lNUx\nn+18gqo6az352h0bUKc0pTv+6WgdN4xo33ago8wf7I/BLHGu2kx8sPyxVdTJPwLLtlZT3YIy7pKL\ntAgBccFKIgI6z8hXTkgjqLaOi/cdb7tyKzzzayVnKtyzN6+84jqbshNbi8BQZ6e2zG/HvwRgdOJc\nBsdNZlbaLRRVniI62HqIv+X415TV5DMq8VJig/t2WYOHbiRr5Q5unrCe2JByStZdzOlXbwVJgSRZ\nWH3obcYlX06dsZqjBds4VXKI/PIsh9rU+Ajevar9DhO/ByQgo080qy5s2pWZdCCbcUdOudSeqzsS\nLaG691GEjw+SxYLpvZeh3Pn9daXChwcu+cjqNYDZYqJCV9QhIhcAQiW44NuFTh3TkqxVj7jTN5BT\nEkVsSDnhM36lYsdoKneMJrtoH/ty13aZvdbujEmpYNWFg6k9VoqhqJaQCfEUBweg91GidncyOxeQ\nsjIQg4Zi2bDGJYMHMFuMVrnvr6gXT/kl40MqdW3vkbuC/8Aw+j/TPnnq5vxOF/Ls01whJHLeKkAi\nSptIn/AhLrdpMEn8ktXy8LAnUvTDcXKe3kbB50fISIyh0r9rePyZV32FecdmROpQ8HfPtOzbvc/x\n7d7nOsTgFRoVve8dTeKD4xDna3C3p123tdRNeGuDnGlHO/QwaZ/eTJAmnPBA10MDzBJkFnXOKn53\nIf72ESgDfIi8rL+nu2KDlJONIjYOfLu2nHjf/zeZwf+9lLBpifhGuXfdqMcZfUmNlh8PyqIYqsAa\nkh9/kllpf2v0qXYWhYDYoK6/Ct4Z+JgtXPPLXnpXVjP0k3lofARzth0msqLrZBSWck9gfPYxKC9t\ntZ7yD3/qpB5ZEzAogoS7RqIdFo0yoGP8JHrUnL6B/PIwiqq0RGqrUMfn4T8wkwmnrmT1obedbksh\noM4ocarMRJ/Q7nE5j/jGk+5nK70UbSpnSq3z4o7N6X2unOt+2cueAfFo9EYGnXIt+mxjtmenTJb9\nuzr9nNFXpRD7R9enmo7SPb6lbuZcVTBlNYGy0cecQ9M3hxF9Zrlk9CYL5FeaiQrsnEHTds0AVmrH\n2n1vas1BZtTYyipl+vbig5Bpja+rFX5UKW0DaXwtRtYEjuCBkm8JN1fbvO8MI4+dadfxabGedQGW\njnZMfLw9AtIiSbhjBOqYwE45X4/asjufpXO+QQgo+OQqCr64ksKy07y3ebFLbd05IZDxfTpmnlil\n8OPJiKs46+P+rUFJXwc15xl4cCjPFMvbUmGmKnzx3Mr7nd+WUqbrGoE/7kYV5sfgD+YiRMdIpnm3\n7Oyw40R/xvXNIua6LylZNxX/miDiQ1M4U3bUpm5KzHiOFsi5QQImz6Zm009W7+/LMzA6wReVwr0f\n4E+BI0hX92k0eOncWSw5JxrfVyT2RUTFtNqGVF6G5ZhtxJVyzASkrAzMP31rVa4YO4klfv0QsXFM\nD60g1lRmdwTRGSydGsRrW6rJLff8lp878UsMJnHJuA4z+Nbo0Ua//ugQag2+TE2V57Ems97GC6+B\n2UNvQ0Iis2A7cwf+hQ2TZ1H64csYT8sGuCXHQFFNJY/PcJ+Qxsthc9mn6Sv3bfUKKCtBqq6yWoSy\nHAxHBGhpLYeJVKeD4nO25WdyUAwYZFNu2bFZfqINYm1wGAofJbsvuxKAxSUrUbtJ2MER4oJV3D1R\nyz/XVbg10s7TBAwMw69367JqHUWPNnqA7ScGEqypxQ8IDYhlWMJ0Nh6zlShSChVXjnyQZetvQ1um\np650f6PBN3CsqH3GoBcqzCjY75fE22GzkPR6pFMnMH/xQcsHlZUglbnmuSZlZ2LOzmy5QlUlUlUl\nZuDQK9koL5nP3wb+mf7GAhZX/oSfZETRCQmTYoOU9SOodp7LVw0G9wXvuIo6TkvCnaParthB9Hij\nd5QPtjzE+L5XYDDrePcr2Yfbb8ho6tLds8p7VhXKa2FzyPOJQKosRzq8H/PPP4Ch68Ttm9eshDUr\nyQiL4Lb5f+Bqn2PEmsoYUXei7YO7AMqLZ2H+7RdQ+0FpsW2FoPrIwspy2/fcRNCoGJIfn9Rh7TtC\nj9und5Xi6tN8f+AVK0HM4Mv/aFXn1nGurb5WKjS8ETpLNniLGfP3X2L+8ZsuZfBWlBZj+uFLQ7VH\nBAAAFXhJREFUPt2Yx2fBnv0CO4N5zUqQJFrMI9bae24gZEI8ve+3v/PSmXiNvp7Ut+9y+pjCJ++z\nev3uzmqetpPLri30wodcXznNkemlfyHln3a6DUdQ/eUelDfc4p7GigqRMg9zThnM50ET3dNmK7w4\nz03x/bU1UFaC6mY7IpVVFfKjAxj69QL6LBmLKtDziUl6/PBe46MnSKND4SPPxyf0X0jWud3klx9r\n+2Cz9RzeZIGHpzq/OPNOqJzRRyrIB7Pzq9Qivg8iIhrljLmNZZYTWVh2y4orqqtvaqoLKJY8gfmX\nH1FOmwOAeesGpDOnkE5lO31u47svY772IqePcxYfpeDfs4L5u5ty5Zn++5pb2mkNVbCa3veNJmhk\nbIefyxl6vNH3Cimjf7S1tt3Y5Hl8u/e5TuvDfSXf8X7odLZtcl4WSaQMQXnJfISv9R1EkdwfRXLL\nvu8NBg+gvHAKgOye6iTysb+fVXW3IaD3vV3P4MFr9HZJjb2Q0InP8f5v9uWu3Y1GMjBAn2elENIW\nqr/VOxFpNDYG7yrKS6/EvOprh+oqxk1GMXQUIjgEqve55fy/Jwa9O8ftgTLuosfP6UP87QeDxAQn\n88il37QqPRz96KtEP2Y9TKwzSlTWOS9BpLXoCFx4LUQ4KFOsr0MEhyDcGC3WYPDKBde3Wk+kDUc5\naToiOIQoUznXVWxyWx9a42wHqNsoRl+ISBvulraEUhB7YxrDvr+qyxo8eI2eS9KaPM3CL1ln8/70\nQYuY1P8am3KAms2rKXzCekHox6M6l6SXxumOcUPFBlQ33YYY0LYegOnDZQBYsjORXNx7loxGeT5f\nUoR5e5Phmr/5uMVjFGMmopp9hUvnay+vbWlfPEBLuOv/ib1pCNFXd/102D3e6JsTcekau+WTBlgb\n/eXD5aF19YZVNnWPFBoZEOlasMjE2gyEQoEite1IK+UNcuJGEREFShdnaSYjli3rMX3zMZbNPzt0\niGK89aLdnSW216A7YTlyENPyt9rVRvjsvvR/fhpRVwx0U686Fq/Rt0GdsZrqujIenP05d097jyBN\nBCv2vYCPUs1NFz5tUz/jnIlVGTqXz/du3qv4W9q+c4ugYKQ6HSI4FKF0MZ7fYkZ1+xJEmIP652o1\n8vq/TKBZR2+THSeXDsCVKZND1FQjFdhVXXMY3wiNW4QlOwvvQl4zlNoqNP2Po8vq11i26uAyMgu2\nc+2Yx/l05z8byxNCUzlXlWO3nePFJmoMFgJ8nf9NVWHhz9JuXgoNh1bca03LnkX0HYiqjfl3S1iy\nMjCv+NTxA0LCUM5d2LhomGw4y90lP7h0bld45KeuKRGuClGjSe4aGgGO0uPv9JuPpTQ+940oJXhs\nk1vtyeKDjRF35/vjnyjez0/pb9ptc+dpAxV1rm9jiahYRFzvNuspxk9x+RyWnZsdr6xSoZp3NYrY\neADijMXcWrqaEEuty+f/vSCZLBT/mI2+0HpBWLJIFHxuX0vO0/R4o88vD7PyvIy55hv8B8qOOUkR\nQ4kPTamv51hK7AaW/OC6//aoumwm1bb9hbFs22C3XJIkWsqTYHz2Mcyb1tF8mN4WPvc9hoju1dA4\n/z73MVFm5z0PXUX+X7qmL4C52kjlrrNk/OVHq/ID879Cl9U5EtbO0uONPrsohtWHhmE0N12KwMFN\numRXjnyQgTHjnG63vbJQydMm4DMorfVKNdVYsjKQTNaJOc1fLZf9zO2guul2pLISFGMccJ0NCUP0\naxoJJRoKeTv/9baPcyPlOgvPbKj63SbS8AQ93ugB9uUm88OBkY2ve938kdX7V458kDFJl9kcN65v\nx21dzag5gHbW3FbrSAV5mFd8ivmnFVblysuvRYSEIRWetT1IGwSS1PZ8PiAQ5dyFqOpVYZINBdxe\n+mOnZ9E5WWoi3UHpLk8RPD6OhLusQ2Xj7xzZQm3P44hUdbwQYr0Q4rAQIl0IcVd9+eNCiDP10tUN\n8tUNxywVQmQJITKEEM5JxXqIjLMJfLS9KWIsZZm1vPWB07/YHLPvVMcKZDx5bjnKK29ss550NB3j\n689g3vmbXGDQQ2UFhEfa1BUaf0RM6ym/lTf8DdXNdzbO4V85+zZLir/t1CF9A69v7Zi9eXeh6R9K\nn8VjCJ8py1yVrDvJoRu+I3xmEr3vG+3h3tnHkTu9CVgsSdJgYDxwpxCiYcz3giRJI+ofqwGEEKnA\n1UAqMBtYJjyRE8gFcksieXLVAvbn9sEvIZ+kx55CGVjF8m1/J1AdalNfb2o5tXNumYn7v2/fnE5r\nqeOpgO2ET7sYVG3s/dfWYNm4tt5/XkKymBEqeXPGkn8aS/5pjK8/g/HZx+zuyYuYOBTDx+Kz5AkU\nsfH4+vlyQ/mvfJD3MkEWHRqp88N8r/+kBJ2xaw/rNUkhKPzk61y+LY+z/0sn6R8TOHD51x2Wwrq9\nOKJPXwAU1D+vFkJkAA23CnvGPB/4TJIkE5AjhMgCxgA73NPljufH9JHU6P2YMHovCXe9xY21T3Cy\n8JDVll1bvLqlmhht+2dPcaZSbk/QkDk6hC+2OaaiYtm+Gakgv37Brln6K3tExaIYOBjFmIkIRVN/\nryvfyMW1h9rVd1eoNVo4UmDq8sYOEH11KrE3yusuRd9nYdGZ6H3fGAJSwhvLuyJO7dMLIRKBYcgG\nPBH5rn8jsBu4X5KkCuQfhOaxI3k0/Uh0GzZlpWK0KJly4Q4GvvoAhlueZHCvSRzOd3yrq7jGwkOr\nyvnr2AD6Rbie0jnFkEdKEvQLj+XpkgFYtm1stb5l73b5b1FBq/VUi+4APz+EVs7r19dwlpvL5GlM\nvMm94pGOUmeUeHtHNWZL1zf68q1nCJ4QT+7zO+h181CCRjVF1EUvTGnlSM/i8K1ICBEIfAXcI0lS\nNbAMSJYkaRjySOD5jumiZ5AkBVuPp3D0bC80vc8w6LkniYwMRSEcv3ubLHCmwszjayspqm7/Atjg\nIAPLkw4x9fZriAxQEOTnwqxJoYTgEFR/vBVFRCSRGogwVfBO3ms8WvQF8aYSjxl8aa2FkloLNQaJ\nus7Lveky+jNVHLtnHXW5lfiEazzdHYdx6E4vhFAhG/xySZJWAkiS1Hys+Q7wff3zPCCh2Xvx9WU2\nnP2kSU0lcEgk2iFRDne8szh+LoYBMfkEDj7KvFvHs39xJOU651VbHlpVzvvXuCaddT5/Lv8Z5ody\nutzEr9myy+66gGEAWI6my9lhmqEY0WzLMVBLv+ED6GfIR12dx8JK52P4O4rnNlZyqqx7prou25iL\nJsmznnlV6eeoTm97Cujo8P594IgkSS83FAghYurn+wALgIYJ4HfAx0KIF5GH9f2AnfYajb2u7Wgy\nT3PwTCKz0vajUFqImLuaK3/4I++tetbT3QIgIUTFH0fKH+EotSwDJUX5IxmsffEVfZpLRNURUZpN\nlLlrurV2V9SxnaNO0xraIVFWN87CT+07eLWpcCOEmABsAtKR3aIk4BHgOuT5vQXIAW6RJKmw/pil\nwJ8BI/J0wGZvqyso3DjDI5d+A8DR21+g7nQC27K/5dejy51qY1xvX+6aqO2I7nVr9CaJFYdq+e5I\n95T8jr0xrUuG1LqscCNJ0hbAXhjX6laOeQp4yqkedhNSli1m/2VfEh4Yh8Y3CJ3B8b3r4loLRdVm\nIgO9KrcN7D5t4MXNVZ170qgYKCsFYxfNNtzBeD3yHGTr8QGNz3vdvJwB0WOICHBuU+J4sYnXtlbz\n+pZO/pJ3Yd7b2TnON4oRY1FeuhDlpQtRJA9o+4DfMV6jd5CckibvtqBRe11u53ixiWuH2yrGeulY\nRFwfFIOGyo/xU8DffemsCj49gu5U91kj8Rq9g+QUR7PrpKwrp/CrwzemgBsv/DcJoc7P5e5aUc7J\n0m6wJ9VBSJLEt+m1XP9JCZUdrU+nUKCYNB1FSpOzjFCpwI1Ooj7hGhTq7jNl8ybRcAHfqGLCL/mZ\nsx/ewFWjH+GFtW37x5/P8xsruXW8lrQYz+qwe4Lle2pZc6xzFu0UU+egHD7Gplw5brIs090S5WVY\n9rXtRNrrzxcQMCii07Tl3YHX6J3gt6wUBsbkE6RpSoelVmmYlrqIXzI+AKBXyAAitQl2A3SaU6aT\neOW3Kp6YGUxMUPe5S7SXt7ZXs+lE54lI2jN4AMWQEa0eZzmdAw4YfdTl3W99wGv0TqAzqjHX74Co\ngqoQaj3o1YxNnsfYZDlV9vcHXiUsoBdKoSI0oEk3vrj6jE17NQaJ+38o5/nLQojR/j4Nv6LOQpXe\nQlmthad/7T4LmIqERKSLLsHy2882qkM+4Rpib0wjbFoidbmVqELUqILcl4q8o/EavZPsO5XM1NRD\nhM9cT+kvU6g5Yj2nv+wCWRNPIRSMTZ7fWP7zkQ/YefI7u20+vb6Sl+bbRvF1d0przSzbWk3Gue65\nfqEcMwFL+h5rhVuFIHxWMn595HiF0vU5aEfEoB3a9bxJW8K7kOck2084NpxrbvBrDr3LmbKMFuuW\n6Sz839oKsou7drIIZ3nm16pua/ANqOZaO5D1/ddkdDkV+PeTf6R7LRrarQwevEbvEm9umIHBpEQZ\nYJsY8sW1N7E9ewW1hkpqDZVsz17JkfzN5JdnofHRolTYDq5MFsgqNlFc20FpnjsJSZLYkF3H9Z+U\ncP0nJZyp6J5+9M0R0bGo/nYf+MgLrpo+wSQ9PN7DvWofXqN3gdIaLd/uHUvUQy8SepF1qO19Mz+k\nWl/OT+lvsOzX29Bqwrlv5ocM7z2Tmyf+h5igvi22+8pv1Ww60T1dUQ/kG1h/XM87O1pOLNJdEcGh\ncgqytOEcXtSU9rtsYy4Vu+ykJOvieOf0LpJdFMO3e8dyw72vEzxhO0Ur5lrN76cMvIERvYtJirwA\ngNlDbqVSV8K4vvKwP+mR5yj9dTJfvZtOZV1TKOvb22uoqJO4bFDXD9X8YHcNZfWjk8wiI1Udvefu\nJIpJ093XVmI/FIn9MGU2yaAp/H0wlugo33KGkAnxbjtXR+M1+nZwujSCF9fPZvHMH+R8+fUr+xHv\nX0/Ryl6EB1q76QZpwklb+imhUzYjlIJPdm6yUW6RgM/21xLsJ5ic7NdZ/4rTfLKvhnWdtNfuKiIh\n0e1tSkYLOc9sI/Gh8QSPjm0x1XhXxmv07aTO6MuTqxYAsGDEdrR+OuL/upz4v7YegXf6sMSpgxb8\nAqHOjvv5W9trUCkEFyZ2ra2gg2cNnCozsyqjaxs8waEItft/NFX3PYq087+Nr7tJ+kcrvEbvRr7Z\nO45AtY7+0fI8L0CtZ/IA+6v2CYMFS1cp2fqFhZf+YP9u8frWakpqLV1iqJ9dYmJjdh0bsvWYu8HN\nTZGSJot7ur1hJfqAvtQcLSEgxT1JUTob70Kem6nWa9iXm8y+3GS2HB/IKz/P5nRpy+KGF17d+kfw\n5YFa7vi2lDPlntv60hklnl5fyS/Hu4fBExaBYuzkDmlaKBQY/aLR53UfR6Pz8d7pOxBJUlCt17B8\n2xRUCjM3jrdNaPntvrHAj7YH12OWoFwn8dCPFQSpBUumBBGjVeDvgjhmW5woafpheXRN94kas0Gh\nQKi71rSoK+E1+k7CZFHy3y1T29VGpV7i0TUVjO/ja+O2u3CodbjuyVITe84Y7L7XgN4k8f2RpjiC\nbw+5LrHdkxDhUYio7nutvEbfBUh6bAInn9jicP1tp2wzvuzNsy6r1kuU1G+nnf9eAxYLnP4dONCc\nj2reNR3avoiIomDtXoKSI7usoEVreI2+C+CXENzuNlrLIttdM8y6irAj5+VujFUShiIdmm5o9N6F\nPC9eXEA5dTaZSxwXPulKeI3ei5cehnd476XLoxBN2a0sUtOdqltsH3ZBvEbfBVD4KdEkhaA7We7p\nrnQ5QvwEt44PZEisPHfekaunT6iKILXgyfWVnCztWesV7sA7vO8C+IT4ETYj0dPd6HLcMi6A2y7U\nNho8wNjeamK0Svx9Fdw5QUtiqOcyDimnz6XgM/sqMl0Zjxp9Vfo5T56+RTzRr6n9/BgU5R14AUxK\nUvP2wlAmJalbTRwao1Xy6PRglK24v1tyT3ZAD2UUqUMo+PQI51Ycc/pYT373PWr0jojteQJP9Cs9\nNYHTvbqnL3d78VPBwEgVAyNVfHxdOLeODyTAV+FQMIufj+B/17Z83aTTHWf0AFgkJIPzUwxPfve9\ntxYvHmfR6EAmJXVft9nKvQWETU/EJ8zzgVGO4J3TdyH+Os59qivdhcdnBLnF4P8yRr52yqtvandb\nzlJzuBhTReel9W4vbarWdtiJhfBuuHjx0sHYU631mNF78eLFM3iH91689DC8Ru/FSw/DI0YvhJgl\nhDgqhDgmhHjIE31o1pccIcQBIcQ+IcTO+rJQIcRaIUSmEGKNEKL9YXCO9eU9IUShEOJgs7IW+yKE\nWCqEyBJCZAghZnZyvx4XQpwRQuytf8zyQL/ihRDrhRCHhRDpQoi768s9es3s9Ouu+nKPXzNAFijo\nzAfyD81xoA/gA+wHUjq7H836cwIIPa/sGeDB+ucPAU93Ul8mAsOAg231BRgE7EPedk2sv6aiE/v1\nOLDYTt3UTuxXDDCs/nkgkAmkePqatdIvj18zSZI8cqcfA2RJknRKkiQj8Bkwv41jOhKB7YhnPvBh\n/fMPgcs7oyOSJP0GlDnYl3nAZ5IkmSRJygGykK9tZ/UL5Gt3PvM7sV8FkiTtr39eDWQA8Xj4mrXQ\nr4Z86B69ZuCZ4X0ccLrZ6zM0XRBPIAHrhBC7hBB/qS+LliSpEOQPEPCkWFlUC305/zrm0fnX8U4h\nxH4hxLvNhtAe6ZcQIhF5NLKdlj+/Tu9bs3416F57/Jp5F/JggiRJI4A5wB1CiEnIPwTN6Ur7ml2l\nL8uAZEmShgEFwPOe6ogQIhD4Crin/s7aJT4/O/3qEtfME0afB/Ru9jq+vswjSJJ0tv5vEbACeVhV\nKISIBhBCxACejAxqqS95QEKzep16HSVJKpLqJ6TAOzQNRzu1X0IIFbJhLZckaWV9scevmb1+dZVr\n5gmj3wX0E0L0EUL4An8A7Au3dzBCCP/6X2OEEAHATCC9vj+L6qvdBKy020AHdQvreV9LffkO+IMQ\nwlcIkQT0A3Z2Vr/qjamBBcAhD/XrfeCIJEkvNyvrCtfMpl9d5pp11AphG6ubs5BXNLOAhz3Rh/p+\nJCHvHuxDNvaH68vDgJ/r+7gWCOmk/nwC5AN6IBe4GQhtqS/AUuSV3gxgZif363/AwfrrtwJ5Ht3Z\n/ZoAmJt9hnvrv1stfn6d0bdW+uXxayZJktcN14uXnoZ3Ic+Llx6G1+i9eOlheI3ei5cehtfovXjp\nYXiN3ouXHobX6L146WF4jd6Llx6G1+i9eOlh/H9+r6GQqgpG5gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xe00c7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r, c = portrait_bi.shape\n",
"Paint = zeros((r, c, 3), 'uint8')\n",
"\n",
"P_R = P1_c[:,:,0] + P2_c[:, :, 0] + P3_c[:, :, 0] + P4_c[:,:,0]\n",
"P_G = P1_c[:,:,1] + P2_c[:, :, 1] + P3_c[:, :, 1] + P4_c[:,:,1]\n",
"P_B = P1_c[:,:,2] + P2_c[:, :, 2] + P3_c[:, :, 2] + P4_c[:,:,2]\n",
"\n",
"Paint[:,:,0] = portrait_bi * P_R\n",
"Paint[:,:,1] = portrait_bi * P_G\n",
"Paint[:,:,2] = portrait_bi * P_B\n",
" \n",
"imshow(Paint)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is now really similar to the Andy Warhol's Untitled from Marilyn Monroe."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 6. Organize the above approach to generate a filter that creates the painting effect. **"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def Andy_Warhol_Monroe(portrait, Pattern1, Pattern2, Pattern3, Pattern4):\n",
" \n",
" # Convert the portrait into a binary image\n",
" portrait_gray = 0.2989 * portrait[:, :, 0] + 0.5870 * portrait[:, :, 1] + 0.1140 * portrait[:, :, 2]\n",
" \n",
" med = median(portrait_gray)\n",
" thld = 0.65 * med\n",
" portrait_bi = where(portrait_gray > thld, 1, 0)\n",
" \n",
" # Deal with patterns\n",
" P1 = bi_pattern(Pattern1, portrait)\n",
" P2 = bi_pattern(Pattern2, portrait)\n",
" P3 = bi_pattern(Pattern3, portrait)\n",
" P4 = bi_pattern(Pattern4, portrait)\n",
" \n",
" P2 = P2 - P1 - P4\n",
" P2 = where(P2 > 0, 1, 0)\n",
" \n",
" P1_c = color_pattern(P1)\n",
" P2_c = color_pattern(P2)\n",
" P3_c = color_pattern(P3)\n",
" P4_c = color_pattern(P4)\n",
" \n",
" r, c = portrait_bi.shape\n",
" Paint = zeros((r, c, 3), 'uint8')\n",
"\n",
" P_R = P1_c[:,:,0] + P2_c[:, :, 0] + P3_c[:, :, 0] + P4_c[:,:,0]\n",
" P_G = P1_c[:,:,1] + P2_c[:, :, 1] + P3_c[:, :, 1] + P4_c[:,:,1]\n",
" P_B = P1_c[:,:,2] + P2_c[:, :, 2] + P3_c[:, :, 2] + P4_c[:,:,2]\n",
"\n",
" Paint[:,:,0] = portrait_bi * P_R\n",
" Paint[:,:,1] = portrait_bi * P_G\n",
" Paint[:,:,2] = portrait_bi * P_B\n",
" \n",
" return Paint"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 7. Generate a series of results. **"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib qt"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for i in range(0, 20):\n",
" Paint = Andy_Warhol_Monroe(portrait, Background, Face, Hair, Lip)\n",
" imshow(Paint)\n",
" matplotlib.pyplot.pause(0.2)\n",
" i = i+1"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Apparently, the above method simulates the Andy Warhol's Untitled from Marilyn Monroe pretty well. However, this filter is only valid for the specific portrait because all the patterns used were generated directly on the original portrait.\n",
"\n",
"Reconsidering the Andy Warhol silk screening printing process effect, the most significant feature is that each painting contains 5 color portions. Therefore, an alternative approach to obtain similar effect would be to separate the original grayscale portrait into 5 levels of grayscale value and color each level differently.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 1. Take the grayscale portrait. **"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x2ef35ba8>"
]
},
"execution_count": 112,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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vGEIIKHuejrARJuD29rbW1tas1DUNryYEOhqWNxUZT7RgSRZnxWYj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QVls9kB8SrP6kGb0Hkfj3reKIr+ts6aXv+PcRz/D1EU5SX9n5IuqN/V7K/Fcdz4NOf/3OuBeUJa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\nL315YuX/A+Ctix60Pn1VAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2fcd8c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"portrait_gray = 0.2989 * portrait[:, :, 0] + 0.5870 * portrait[:, :, 1] + 0.1140 * portrait[:, :, 2]\n",
"imshow(portrait_gray, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 2. Seperate the grayscale portrait into 5 grayscale levels by thresholding. **"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x2bf70278>"
]
},
"execution_count": 113,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+8b3vfQ9dXV28ygpkvZTcY8kNrxsbG+F2uwsKHgC419TU1IR0Oo3Dw0MYjUZk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\nx2K5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x34a4afd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Set evenly distributed levels\n",
"level = [51, 102, 153, 204]\n",
"\n",
"row, col = portrait_gray.shape\n",
"portrait_5 = zeros((row, col), 'uint8')\n",
"\n",
"# Thresholding\n",
"for i in range(0, row):\n",
" for j in range(0, col):\n",
" if portrait_gray[i,j] < level[0]:\n",
" portrait_5[i,j] = 0\n",
" if ( portrait_gray[i,j] >= level[0] and portrait_gray[i,j] < level[1] ):\n",
" portrait_5[i,j] = level[0]\n",
" if ( portrait_gray[i,j] >= level[1] and portrait_gray[i,j] < level[2] ):\n",
" portrait_5[i,j] = level[1]\n",
" if ( portrait_gray[i,j] >= level[2] and portrait_gray[i,j] < level[3] ):\n",
" portrait_5[i,j] = level[2]\n",
" if portrait_gray[i,j] > level[3]:\n",
" portrait_5[i,j] = level[3]\n",
" \n",
"imshow(portrait_5, cmap = cm.gray)\n",
"colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"** 3. Generate 4 random colors, and color the 5 regions with these 4 colors and black. **"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"color1 = np.random.randint(0, 255, size=3)\n",
"R1 = color1[0]\n",
"G1 = color1[1]\n",
"B1 = color1[2]\n",
"\n",
"color2 = np.random.randint(0, 255, size=3)\n",
"R2 = color2[0]\n",
"G2 = color2[1]\n",
"B2 = color2[2]\n",
"\n",
"color3 = np.random.randint(0, 255, size=3)\n",
"R3 = color3[0]\n",
"G3 = color3[1]\n",
"B3 = color3[2]\n",
"\n",
"color4 = np.random.randint(0, 255, size=3)\n",
"R4 = color4[0]\n",
"G4 = color4[1]\n",
"B4 = color4[2]"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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7d8FT9GTF3+KMRITz+vefkFijeNdejlx6MZb+fvL2HyCo10eWzyNn16I9+wgY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\nnyIUCmMPEVAdQ22QOx/BrrVQEplJZImqJXC/eJzrJXVVaK7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KW0gV7vyClt/gibGjsDVb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\n0EtaknzULKsNBy+U
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