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@quantshah
Last active August 11, 2016 13:53
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Ivim plots for f
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from dipy.reconst.ivim import IvimModel\n",
"from dipy.data.fetcher import read_ivim\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dataset is already in place. If you want to fetch it again please first remove the folder /home/shahnawaz/.dipy/ivim \n",
"data.shape (256, 256, 54, 21)\n"
]
}
],
"source": [
"img, gtab = read_ivim()\n",
"\n",
"data = img.get_data()\n",
"print('data.shape (%d, %d, %d, %d)' % data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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zxkBVpigGzTpNMz0Ve/bs6drPPPNM13Z0yB2Kd2baUaOllE914zutIbd+Ukq2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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1fc1668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"z = 33\n",
"data_slice = data[95:150,95:170,z, :]\n",
"plt.imshow(data_slice[..., 0].T, origin='lower', cmap = 'gray', interpolation ='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"mask = data_slice[..., 0] > 3000"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model = IvimModel(gtab)\n",
"fit = model.fit(data_slice, mask=mask)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Bt92mI0orpQpVok4DwKvAZmNMItYoA52Bl21jrC0vpdiUu5k0CVq1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\nZmZFOOGYmVkRNwBjESeh/aCqUQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1ef1b00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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K5ZqirkFqqoi/v8jy5c6ORBVAuXLlJCwsTEJDQyUsLEw+//xzOXbsmDRu3Ni+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\nxRv3v+9g3UhgLAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1be86d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_fits(x,y):\n",
" plt.plot(gtab.bvals, fit.predict(gtab)[x,y], color = \"red\", label= \"Predicted_values\")\n",
" plt.scatter(gtab.bvals, data_slice[x,y], color=\"blue\", label=\"Measured values\")\n",
" plt.xlabel(\"bvalues\")\n",
" plt.ylabel(\"Signals\")\n",
"\n",
" S0_est, f_est, D_star_est, D_est = fit.model_params[x,y]\n",
" text_fit = \"\"\"Estimated \\n S0={:06.3f} f={:06.4f}\\n\n",
" D*={:06.5f} D={:06.5f}\"\"\".format(S0_est, f_est, D_star_est, D_est)\n",
"\n",
" plt.text(0.65, 0.50, text_fit, horizontalalignment='center',\n",
" verticalalignment='center', transform=plt.gca().transAxes)\n",
" plt.legend(loc='upper right')\n",
" plt.legend()\n",
" plt.show()\n",
" \n",
"plot_fits(35,30)\n",
"plot_fits(10,20)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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QNzc3sb29jWKxiEuXLuHy5cu4fPmyUWUjO1owq6ler6PRaKBSqeDjjz8eWXRv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\nfAbGGZDPxtn4DIwzIJ+Ns/EZGP8/n24KSmr3XwoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1b8e6a0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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U30HBgYOUW68vmQlqKvDc/Px8Y8/T5teFOnSRFfVTKBCQEZAd6PN0ujPPHx4e\ntmi87jKsMwbVcagxEDUWoKJ7PXQxAh3l6FOPEbWv3VPqBEqmQV8zYRRzoktO7fBhzvkvAPyT4K/e\nm6D2FVduHt6bd7GAUnqedpcTkvSXDjyddqwzEjUoSQGHvzm6oM/VNNSrrzP9lIl4tCAPZRoUn9TE\n73Rw6mQsHsoGdCqx+gV0Q5ISsyiBQFS2NVPQJar3Pm1gUgBAOc2M4NjSh7qXQCBKpwsMus71ARBV\nFJ1irGCg4/86ysC8+qKp2oAXFhaadNS2pxPOHY4eHahOR7INzbe+p45AcCNYXTNBFxnRYCj3DWis\ng76fA0EXCJSYQ6luvJ5LLLNkTkwSDKZAMKaMOnRTo4lMT9ONQKREQaPnlFiBg4EyA93Ak4e/q5oK\nbjIoI2DQkTICOuF03F+HIjVGgH4BhvNGsf4KBAQBjZ2go7C0I5HuQcB7fai2RvGjz1o9j0vl/Z5r\nAQZTIDiGlGy6vnZsqZcoOZFqIww815eSRteXGnv0XYGLvTaAcGxfGYH6CNRpqBGG7gtQBqP545oK\nZAS6IzRZic+i1CnVHkbcR0ogUCrP6BoHGf9OidrQlBH0lxNlBONWTNRI3APtz3PHYnTtKEAQ3dMF\nBiqk0Bxm5MiCB/goEBwcHFQBQIOB+GxlLg4EZAwatUi/B6MafX2FKIzYy7hEzb3c/LOL+fG6KP1a\nvXl9T30E3TLTfcnxRRtLbSirpKj6PeoJ+h6etqc7iaP2/r7ugYYh+6FsQZU/AgMNCFIwUFNGwUUX\nESUj0EVVnA3opChnOV1y3LIrpeHto9Qe1CxTJ+5xZALt4ZdTSh9NKf2lnHtBSuldKaW3p5Rekwah\n/fzvOSml9w7//1I5/6SU0l+mlN6TUvp5OT+XUnrV8J4/TSk9puudTgQIABypFP2s9Sxs2F0FrBUf\nLXsWSY3S87muVK5QfaPqND8aS6BzEXQikAJAaVXn2ntpuanPQfPOnl5nQUajIRo0VJI+oN1VPn2l\nT9olMJiE+KIttaMgLwXwZXbu9QA+M+d8N4D3YjCJD2mwmcnXA3gCgK8A8JJ0tbC49+HjADwupcQ0\nm70PAfw8BnsfVuVEGUENqUtg4I26ZCZ4WrVAGpUozahnjcCgtABH7f09riBaTcjDjz06sM/7OJiV\nWEIEAKXZkKX3HIXu12z5Ueqqq5xL7W0SclxGkAdblj1s5/4w50zkuB+DDUsA4F4Ar8o57+ecP4AB\nSNyTynvE+JKoAAAgAElEQVQfAoO9D182/P5qDIIAq3Kii5dGJoJ+7wMGfRqSSlQZDiJ+js8j3abz\nTQ8qlCqJp+nv7Wvt0x9weHjYAgPa7c4IojLyT82/904EAlUMXU9BmYGyAZ9hyHLhp9dTH2D0+ojq\n1eskek6tvL3MJwkE11ieAeCVw++PBvCn8t+Hh+f28Ujb+9ClBAIu2kC8YY1TqdqYSvdHsfEAGsU8\nc+bMESdatDqPPk9FGYvOSdB1AnZ3d8NJQVEv5+DiPV9kJhAUdLjRmY+bP/zUWAiNpoxMOBUFDT/v\n9dPnvpJoen3a2DhSy8/b3vY2vP3tbx877ZTS/wJgL+f8ys6LR0i264IbYl+DPvZu1CDGBQNNk+f8\nf2/U2kOXvOlRj6nvye86CYn3qInAoTxGI/Y5vDz1fUr2ax/ldzOI4iHgUZmVyjiqu5MAgZMAgrvv\nvht333138/tlL3tZ8VqXlNLTATwFwBfJ6dIehxPd+/BEfATHpVJux3uvE1HI6P4u+uqUOhpr1+XJ\n1ZGmIKDUO6KtGtijU4N9xMBHBUqMoORnidhA9P4lgIjAo3a/f+9jItSArU89alr+fVKK3ycfo5hG\nzCbQ2vvwywH8CIB782CnIsrrAHxjGowEPBaDvQ//POf8IAYLBN2TBi/6VFyd+Me9D4Ebbe/Dkj2n\n/49acVGv473xqPHsmq4qhjdwSqSQpNxuQ+sn71WGoMODPncAQPicyBNeUzx9bsm/UAIATzsy3SJG\nEClpKX8RMI9af9dajpuHFO99eB+AOQB/MCyj+3POz8w5vzOl9OsA3glgD8Az89UMPLL2PoyofV/K\nWDoXNcjI3lSljs57nkogEIFBrXcusRR9prMDX+2IwUe83odF/VklJYrKsmRG6Pv7EGkfMNBy9utK\nw3ddZkIEBH0B/Vqwgq6h1C7JI+x9OLz++QCeH5x/5O196GDQVZE1ejcKIkcKMSo78IpX6q9KrB5+\nZQS1947ApAQE/gw3A2rv5s8oUfGIEfTpkbsYgZaBA0LUUWhe+gKBM8PSdceVG4GVTFpO1FmoBahD\ngfyM1gsYJc3oPm1Mo0pKqRnDjyIBfdUit+k9fzWqW7L/tXwUILwXjux7loX6I6Jw5SgtZ0Y1xYvs\n+gg0anXqbCQCpFo9KpCM6mQcVaZAMKaUaLz2FCmlZniK13UVeFfP49f0EVdGnnMg8JWBo6XBPH/M\nTxcw8X6dl8A8lOYXOAjobk4EFb6DLn/moBUBQI0RRMxC03Bw1/sjNhMNc7ozUsFEw6uZ5rVW1CkQ\njCmqFEA8nk/F87HqWgX3sRlLINDXNKEyRt79iBG4A8/zp2ZGrXeLQqWjUQQqRxT1qCaMhjVH8xQ0\nT654o4JpVM5d7M5ByH0zmpcIdPiMkpkxSZkCwZhScuK5KAiw4vX+kkPwWuTXGYGDgE8QKoFA1ANG\nEpkK7oD0qccOApwcxHJT8PAdmyIfQ6T80XuMWu763iWfT2no0odnS4yiD9BMSqZAMKaUHDfeuAgC\n3mtSudwb7+lPKq/ak/J7DQTY20a2slPZkkS9bmTfu4+ACqOhz9pzRrEKzsL0+ZFJ4PkctTz9e8nB\nWYtjKKXrZtdJdBTHHTW4EeXE5xoAMaWPzIeSEnnjOk6PEN2rzkvtjbkSsS8kQgWN3rNWFjWPf2QS\n+KiBlpP2nkxfIxj1cCWPTIAuU6BE+SOfgX/3dCIQiIYtu9pCVz4nBQxTRnACEtl40fBd9FmTko9B\nnxndo2CgKwTXZk3yXj9cqSOwi0wEzYeDgh/6fFX+aN2CqOd1ENKhUM+jlmHp3btmlrryu3Owqzyj\n8y6TVtxTCwQppQ8AuITBTsh7Oed7UkoX0HM35FElMhm8kXbZnbU09bcCTwQwJTCIjojWl4KAdP9E\nzVMperHEDmpA4EOFCgSRApaeOTMz0xqF4P0lp66+f6S0mk7EaNQc6KP4pXDuWv0fR25GIOg71+AQ\nwBfknD8753zP8NyzMdgN+dMxiGV+ziQzFjmrtNG4A6kPndW0o/v83kiBoyNqnH16cr2/lk/Pgw7/\nRaMZPmehBAI+rbrECKJ8lsrNQbTUW3tdRkOF+u7KxqLFWmqsYJS20UeidlM6HinS1zRIOAoavXdD\n7iqYEi3vY/9FyuuMIqKxDi41R2SkGF22cKnRutPv8LC92WqUP/UbqN2vC5icPXv2yJoJvBa4us15\nzrm1/oAuTKqjDeqkZPmUFMzL1tmavxfz06X8JdCNnuHn/HmTlEeSgveVvkCQMZgMcQDg3+acfwkj\n7oZcsilrPYie9/Si7w4C+n903kGg5pys9ZJRTxT1/h7dRwWIhvO83JgPBwIuZ+4zJan0FAJBtCqR\n7mrM53j+uX5BV7nWFFTvKYUxa3l7JGVkgtXa07VS2NMMBJ+bc/5ISul2AK9PKf1nYPTdkEusoA8I\nlHwCatuXKqjrvAOCP2sU00Dz7awgGgaMnI+lcnMgmJubw+LiYiv4Rpcbcwcc915wINDFVSJfRsRY\novLvYnDRO5VAQIGAQ7Nq3mgaJ62Yp3b4MOf8keHnx1JKvwXgHoywG/KVK1eYTmO/dklfQOjT+LpE\n6ao/Rym9ryxM21vDij1vJfCIQEAPzZs2dgeC+fn5Vs9KRVEQ2N3dbQUL6SYtXFhF813yZRAoS2ZA\nqVz9nL8Ty0nLLWIEPCLlL/3mIjKTlFPJCFJKSwBmcs7rKaVlAF8K4CcxWPzg6eixG/Ly8jKAelRh\nZCL47xIrqEmt0mr/lXomBQFXlIjG1wCh5ACrmQjMD2MaFhYWjkQEkv4DA3DT5ch9IVYFAmUcJR+H\nPqerLko+Gf/PyyjKh5YJ8xA9w4ULwlI2NjaKdd5XTiUQALgDwG+mlPLw+lfknF+fUnozeu6GDHQX\nnlNyoGwy8L9xnhPdq43THVIaouueeffIR3ko+Rf0XKQIpfdxs+PMmTMtms38AFdBgPRfnYLR6Ivm\nIWIqTstHAePSocyL5R8BZVSHvN8ZQqkNTII91tJ/JEsnEOSc3w/g7uD8QxhhN+S+zps+DWwUm7Tv\nfVFPFdFw3XyUjjo22L4z9qJ81Q7Ppx+q1FR83bBka2ur5SvwZ+toRsR2uui/A5/3/KWyiIDdAbFU\nV1GaJ6WgpxIIJiGjgkAf2jkKGPi13rOVRH0DuhGJ70Ls8wy8x1Wbv5bHiBmMAgY6cqBbmG1vb7eG\n69wMUTMgmpmolNwVT8uy5MgrUXl9b/0dPbfr/U9SOadAMKbUqK5L1LtEaXnj6dPr8lMbWAkUVEF0\n2vHi4mJr6XGda3CcBqLKVPrfe3/fdIX7ISgAcPuyyEGn7wjgCCNwUyWi39E7RyBQo+76zl1MIEq/\nr0xKgW9GILhuOx31oXxR2GmpRymlqedr36N71EHoOxIpK3DF8bS053VQ1PeKxtS1PKIef2trC1tb\nW9jY2MDGxgbW19eb71tbW63djH16sm+9Fu21WGMFquT+vXaU6t3Td2YVlc/1kFK+oiOSFO99eCGl\n9PqU0n9OKf1+SmlteP7OlNJmSumtw+Mlcs8ja+/DvkE4lFIjKPVqfYAmUvzS85lndxISAOgn0H0K\nfXqw56WmUF3vGtF/3bl4c3MTm5ubDQAoEGxvbx8BAgc5Hxb1SUqRaVICgFr+u0AhApha/Xvd9m0L\nx5W+71YBq5fi6N6HtZD9v845P2l4PFPOP/L3Piz1yNoz9AEDfYanVXtWjXqq1/rMmTMtNuDOQt2j\n0MEuGi50MFCKX3pXHRaMfAAEg42NjQYUaBLoYiU0hSJGEMVI1IY0mf8SXe+rICXAK4FBiRGcFAiM\n+q6F+4/sfYj2foUvw9V9DAEc3akoPRL3Pox6Z+CoXdxFGxkwQ7te79cGOap4WuokVADgoaZBbRYg\n8xrNAGSetZfXIB/fp1D9AXt7ey0GotGEZAC+WhFZgIc5q6IpCERxEhGo1hStj1Jo3fm9/M/BXa/3\n/yIpOSrHlWtklnxSLofs35VSeisGM4B/fAgkj8Yjbe/DqLK8gvlf1MsQADSyza/zNLokSsN7TAUC\ngsHS0lIDBrrsl3vemRcdmovots4B8NmAjO8nIChYqD+CfgAyBDIBnW/gedF9F3koOyj5CWqMqlS+\nWoe16/VTQSBqK1rf0aemy6HdkwCCd73rXXj3u989kccMPz8C4DE554dTSk8C8FtpsFX6KNJJi05s\nYZISK1CJbEb/3QUE0b2lRhT1Vg4CHCnQQ4cOtQF6cBDPl0JlmQdnBToSoGnqNbOzs9jd3T3CCHwH\nY82bsxad+JRzPsIIamBQo98RzVeg7aqXUp2W2lCJpfB5yiQnITUgePzjH4/HP/7xze/f/u1iwK1L\nGLKfc94FsDv8/taU0t8AeBweiXsfUryyVGlKzsSalOyymh0ZpaH/OxNwFkAmoI5BpuO2raar7+nv\npvTcVyPW79EIStSTlswAB4HS99I9JTOhyyYvmQiTsOcjEBglb+PIcX0EzDraPTVD9gEJ2U8p3ZZS\nmhl+/xQM9j58X36k7n1IKVE5UkAG4CiK1yqR95TE/RB6XimrKpCygaWlpeYgGNCrrmZIDYQUBKJ3\n5/0eE8DZgsxb5DCNKK+HBHdFDrLM1WTo6ytQk83rWPNY6pW7wLlkFkTplNrKpIGg1t76SIr3PvwZ\nAL+Rjobsfx6A56WUdjFYIOi7c84Xh/89svY+LFVAVEFsvKX/VNSG7HpuHzYQhRR7WLHOL6C4d1uX\n9eJzvHHreb3XA4UUREoLeuo12rNr+lHvziAoKrKPHri/wNmMf/cydcYS1W0N4KPvfFbNb1CSkzAN\net4f7X0IBCH7OefXAnhtIZ1H3t6HLqNUSo3iORhoQ6s9U69Rs6S0TbkOD2qjV8XVRUFUIrMHKAem\nqCmg96piaX71vAZhORA4GHjwE5nQ7u7ukejJaN5BiW25eN1EdeDXdqXnHUCp87gWclwguBHluq5i\n3LfSRrFBu+4r2ZPem2qkXdQr8rk+pZdefZUojkCpfg0MFAiUktKM0dBmTzMCAgcDLQsCn8dJ+CxL\nVcIaI/O6iUAgMit62NdHnlFrR5NW3CkQjCneWEpKXaKDpUYUVUipl4rudyCIPOvOAmp2egRIBAsq\ntz6viw1w3UHmSxWKaZw5c6b1XgcHB83SZZq3kvOP6aSUMD8/3/goaA5xlERZgZYz/QtaxqMqck26\n0vH6LrHGSSrvFAiOIZHiRr9V0dQRFqF+V2+k10Xf9ZwqhAJNFPAzOzuL/f39hpYro/AhOaWxmldX\n+toxOzvbKgsHLj1/5swZHBwctIKFaP9HzkCmocAEAJubm1heXsbm5mYLDPb29o6UuwJcV8/sh9ex\ngmJNIvPAWR+/a/qTkCkQjCmRXelS6mG1xyml3bdiulhB1JgVCOgDoLJFUXsOBhpI4yMUkXMwCioq\njUQovaecOXOmBVLOCGrDgxqGTBBYXl7GlStXWqxAgU2Vz9lCSbRuo3MREERtoKbg19JPMAWCMYUN\nJ7LTo16i1FuUKqDUM/izVLQXLYEA86BsYG9vr6HeqtjquCNF5zWRoy0yBaIYAoKK59ediAQEAlHJ\nNKDyR9/1GbUgKo2hcF9ByQfj5e6KHtV/VF+RdLWNSctxhw9vRLkukYV96aOf8++19FXx+rAGvwdA\n2FtHMfzqweenU3t1+EU+BGcDvumI57MU1OMmA3vSiAm4T0RBh8On6jhcWFjAzs5OY1q4+dPFrpxF\neL2yzCP2E5mGLl6uXr+TkikjGFP6gECNGfSx8aKeyBU7eo7fo42UvXaXgqqdzXQVCDRtdRzqM9z8\ncLNA8+mRmPo+qtxaXiVnYQQCAFrDh3ro+gtq3pRAif9FwK4jBg70rvglMKi1k2sFBlMgGFP6IHkf\nRxM/XYn9OV09UsQqFDhKsQI+Q9Aj/zQtphPl05lGtM+A7z7ENH00g8+gwikj0PzUVh+KGBPTIkj4\negUEDgZPadlpXZXMwMhk6wP4o4qbLpNM82aS6xJH4AofKTAlUiRH/0gJRwEDbfQ+dMh72eipsNvb\n20fm82sD0Z5e86HMIlpSjDMJ3QTxOAdVan0vXqdOypTSkXUGFOjIThSMmAff/IR5oJ+kND/EzYWo\n7kqOYAeJCDSitqSsQT8nLacaCNJg4sObAXwo53xvGmM35KhiS3MLgJgpsCFpQy8xihKNdGdPHyCg\nwuzu7rYUigrBntFtXX8vZRUKAg4EqoBADAT8zucpG1CG4IzAAY7vpgueKBAoGGn0pc5T0PJW2h8p\nrwNmBBjeTrpYpbctZR6TVtxTDQQAngXgnQBWh7+5tNILUko/isHSSsVNUPvaZ1rppZ4govds9Pxf\nz3c9Tymw2tFsRFSS7e3txvYmKGj0YSmP2msqEOgSY1x7sK8Sal4JOOpzcPrvQKC+Bd6roLS5udnK\nk69vUBvSdd9Myfwo1Yd/LwFFdI+euxamBnCKRw1SSp8M4CkAfhrADw1P994NGSjbapFCs2I9rFbT\niXp1Kp3bo/zfr+dRmmkHoFH4lFLzPQo/Zs8c+Qu0N1fT4OLFi7h06RIuX76MK1euNEuN6eiE5r80\nVdgBgIqtDEGvV1E/hQLTxYsXm+PKlStYX19vQIGAUGJsNVH/Sc2Ei+qslmbtnkkDwmlmBC8C8CMA\n1uTcSLshRz1C5LQD2pXptNPv0x5KexDt8aLeSZ1bkd3N+8kGDg8Psbu7i62trdCM8B5YG7rSeHUS\nXrp0qQECrj7sm5G4jyAaBvT5BfzUIUIHDnWC0hzY2NholJ55Y/50VWTfL9HnC5REAb4ECOOKpxGB\n0xQIytJn78OvBPDRnPPbU0pfULm0WDoPPXR1cRQGqLRurBRsZBb4d6XgvMedZRHrUIXWSUFUEk4e\n4nRgvZ8N2IFAAYHfVQmpfIeHhy1Fu3LlSkPHlc34RCM+04cQXbnUlFAg4PJkOlWaYMfl0dfX13Hl\nyhVcvny5ASkClc+wdNrvztiIkUVMoI/5EJmYpXT4H30v3naOI6cSCAB8LoB7U0pPAbAI4FxK6eUA\nHkw9d0NeW1tr/WYj7DITXKL/3AvNdOmtjyRSGCoS4wZoq/PakvNPFU2pu4KMDrspEFDRCATr6+vY\n3NxsNWZ1GnrPFilc9H4+BEhvP1mO+kI4IsK9Eq5cudLkbX19vbVwirIfr19lKJ4v/V4yK0omXZf4\nM9jxsIzW19dHSi+SUwkEOef7ANwHACmlzwfwwznnb00pvQA9d0P2BjFMK3pW2LCj6/ip8fHeyLTX\n8/+819YeSXcSZqPW2AEHgmitPwUI9SWoPU8lo6KRfmveorUFtAxKEgGBe/t1TUQALacofQUOBFom\nPp1Z69snXmnZ63f+9ndTc3JUX4E/Z1xQKcmpBIKK/Ax67obscwYi5w4rrAsEusR7bRX3ZlNRNJ+7\nu7tNz0garCDgqwbV9gTwOAOfjETlUhDY2tpq2fLuL/B5Cb6moZedmwlkKxz2Y96iuAluoUaWoHso\nHh4ett5Ty7sUGl2i8BEr7Oo4SoBSY4FT06AsIwFBzvkNAN4w/N57N+RS/Hj02dfpREApRe+5fa33\n+rPY6L134rg6nYVs4NE0Xre7nd24Ih8eHjaKr8N2u7u7LSVSKq4RiMo8FKRKSuQMKOfBRCQFO12S\njaHEBEqWkQMTAUvNhD4gEEkf34J/elqRY3rSzsJTO3x4XHFqG6H5qPQtaiAqNSBwm5aNnD0wlYq9\n4c7OTusZVJQ0dNxxYpEDgfaePqfg4OCgscUJBgwo0rLwJc4VCEjLlRFE78t31gAkijIeX6m5BAQ+\n34JA4DENNTCI6ktBU4E+SkPrPQID/z7JXvy4aaWUngXgO4Y/fzHn/AupEqCXUnoOgGcA2AfwrJzz\n64fnn4T24qU/OG6eTgQIvJJV+bWh8tpRbLnoWmcGfK4+Q8/znPa6VA5+KtXXfRCV9kdj456H0hwD\nfa6WiQYgKTAp5Veg0WdHdjrLh+lznUKuSuQrNvMd+X40P6LFSCJ7X8/3AQFXspopWeoMojQmKcdJ\nL6X0mQC+HcDnYKDYv5dS+r8AfBeCAL002Mzk6wE8AYO9C/4wpfRpeZAJ7n34ppTS76aUvizn/Pvj\n5OvEgUDPdSlxTWrX9aGeTtUpqvwAGiqtiqHz9J1uK+iwserwog5rMk8Rc3AG4Tsg63s623Jnox/8\nj+939uzZ5r2Wl5dx7ty55lhZWWn2VpyfnwdwdUUiioYzl+qgpDzjKFWXedH1/bhyzLSeAODP8mCl\nYaSU3gjgawDci8ES50A7QO9eAK/KOe8D+EAaLFF+T0rpAcR7Hz5ygGCUXj8qdO8JSr1MV14IADo0\nqFRc7XBVEPaYS0tLrbTdocj8ee+tiuSgFDkElTnQl1AyqRQEoiAmLnZCpZ2dncXc3BwANECws7PT\nvOvq6io2Nzexvr6O+fn5VnyF5j8KKtJ37EPfR5U+LOAGNA3eAeCnhqbADgYRu29GOUDv0QD+VO7/\n8PDcPsp7H44sJ74wyajUn6INvuZIip4bgYX6D3yNAGCgUHNzc43Cnz9/vjl0YU9VWp00pI0lijZ0\nh6XT45IpQTAogaEuO6ZsJRrqU7BSk2d5efnIwXfWyUml+QZe1jWFja47rtJ6mfr340otnfe///34\nwAc+ULv33SmlnwXwBwDWAbwNwFHnTiVA71rIdVuYJLL1ol4jQvQ+ZoH3yK6IQLyvgCrM6uoqVldX\nsba2hgsXLuCWW27BLbfc0iz7PTc319p4lCAVee/72LbRu0fmAZUwAhfNv/srSr4DgiLNBK5GtLS0\nhOXl5ZbfQIEgei8vf5oNfQCgq6z6SNReTtJHcNddd+Guu+5qfr/hDW+I7n8pgJcCQErppzHYuTjc\n+xDlPQ5rex+OLCcCBKSNJZ9AV2V30buar8Hj/91h6PH5usvR2toabrvtNtx222249dZbm0+NJGQM\nwPr6egMCOvHHHXi1Rh7Z/CU/gabn8yYiIND0FQQcMH3fRwWCpaWlJhRZ1ziMHHpqurgZ01V/pY5h\nVLlWYHDc4cOU0u0554+llB4D4L8D8F8DeCziAL3XAXhFSulFGFD/TwXw5znnnFK6lFK6B8CbMNj7\n8BfGzdOJMYKuXsEl8iTXbFD9HSmcK4b3hryWjrPl5WWcP38et956K26//fYGBG699dZW2rSZfZ6C\nHwQhHYP3YdXIoUpfhq+Q5AofjSB0jWLk3B7/p9KSGUTrFmqMgb5rxDy0/CPzQPNTY0n8X8snAg+9\nLkr7JEyDnvKalNItAPYAPDPnfHloLhwJ0Ms5vzOl9OsYLAHA65mB0t6HI8uJM4Ja7x45ePpcX+o5\nfC5BdK033oWFBaysrODcuXNYW1vD+fPnccstt2BtbQ2rq6tYWVlp+RSAq2Ps6tTTa1TZ9JpoPD4q\nC3coujNRRyNKQ4k1IODhy6NpNCKBQedNeAh33x7ce3zvJKJ24uyjBh56vwPEJGQCPozPC84VA/Ry\nzs8H8PzgfLj34ThyokAQVaZKXwBwiZiCU2d3bHnDoVNtfn4ey8vLWFtba3wDFy5cwNraGs6dO4fl\n5eVm3J/PVSDQdQd1uI5goMOTuviIh2FrOZRAQKP8tFd3k8TfV9NWZ2JpVSTdC1JDkr2uuiTqpb0e\nItrt7aEEAiWW4NcdVybtc7gR5LqtWViy30YFAZXo+lJPpddq1B3psIbbcnMPKlqk+LrOHxmBz9Ij\nEPjS6BEriMCgBApMm85O7+l9mrIyAjUxdI1Cje4jUPrB52hsRB/Fc7OhpNhuMnneozRrz7tRGMGN\nKNd9E9QSIPh1/IxsUJeIaURgo/QxWpyEysVpyTynawxyVSH+djagsxUBHAECXaS0q4E5Q4hMAH1/\nf35kq2uwk0dVOkhpHfgITK3sI6n5DmrvXjPtSs/pMiFHlSkQTFi6CtQrsdSga2mXelkVpcDRmoX0\nlPM3gYCLeHBBEV+BOIr/dxCI9kkogVYUdRgBgb5XaeiUaatpEIVWRyBQMrdUUfsAPKWmrJFZ0EcR\nS/6DScgUCCYs3mhKNLHGCKL0KK5EUYNyKqt50iXHyQw0uo/z9jlr0G3sKB/q/VcQcIWLyojvoT21\nx/zrs9w3QYeg5kt9GBFIRUBVqp+oLvsob8mkU3PgWir2qDKdfTimlCqa/0Xf/bo+JoGfp+JoHqKG\nqfa5Ltu1vb2NjY2NI2sKcCyfpsH29nbDAoCr6yzyGVEAjx+RzRv1uO4ncB9ECQio6F6O0YgGAa/E\nWvqYMP69DxBEwKx+ir6dwrXusaeM4BjSZf+XUN8rXs/1fZ5Gt0UN2XtbKgIXCUmpvdKxOgfJDHTV\n4WjyjTd2VSxXsKiRRyCgzIAKrelob+9DmUxTQUR9BNEmJyXQKpW/58frpVRfKqU2UWoDpWdNkkVM\ngeAYElE8oB4LEPUA+l+XRL4Bdzql1B579yi+aNXiSGF0ZV/tzfne7lmPTBZ9T+3NeY/mj8N9qug+\n8YcBTDpyoKYEgFa+omnRkdOwjzKr3e92fumeKA0vl1qHED2nZF4cR6ZAMKZEFeC2ZJ97xpGSX8B7\nWwcCtZU5YkDHmscC+DJhSruVotN00Oc5EyhFA+p9BAIfHtThQ116LLrOpxIDOAJwERjwPSP73+16\nL3//LLWLkpnk5dNVx/qcUjsbR6ZAMKZEyK0VM8lKcokardP3GhDs7u4eUTpdqYcH7+f7KC32xhs1\nWL3Px/41j8oIolgBXgsgBAKuUUAmpAqjqzIpKHjgk4dG6zOjeu0CBVfqiBU4ONZARP1CCgRTRlCW\nEwWCqKfw735Oe46oF+myFUtA0EUV3RZnA2PPHi0cGr2L+yZqyhT13vo+0dChz5XQ3wpAbhpEeVCz\nyEc21DyI5kg4mJfAfZRzUV3X6rvECCYtUyAYU9x2pURgUDITvGfosv0iIIjSj2zyiKJrupHXXxUw\nenYpRLgLCErOQn73HlR7RKX/DgQ0ETRtHZJ0EHAAq4FBDWAdIPp2AjXx+vXvk3QUAqd0+DClNA/g\njfNM+5kAACAASURBVADmhte/Ouf8k2mE3ZB9rgHQbddZHkKKWJKIgtYApqSAfSioR/j5NTUQiMwJ\nllcJCBwM/L34m8/kOTULCAJe9lE+S4AQ1VtUvn1YQpR//d1XkWuAwOdPQk4lI8g576SUvjDnvJlS\nmgXwJyml3wPwtei5G3Lk2LFnVIGAjaHkaxglPQcU367Mbe+IEWiPGEUElnrxCAj8HuapBga8zm1/\nOgq1h+fzI5bjPoUS2/H3LNVlTUH69uw1kyJiHjUwcn/FpORUAgEA5Jw3h1/nh/dkjLgbciXtI5/O\nHLTiaw6jiGV4OqoEOiSoocXucY+cXiVq7h7qLkag9+kzfcMRl1JYtPfaHubsQOJOTC/Prh7f09Xz\n+r8rr9aJfu/DGLqYnj9v6izslr7bos8AeAuAfwjgf8uD5ZN774bcJSUF9gbDT4+4K6XhFeYNk8rk\n+xfWFLEPJfZr+zIC7d0jRuLfdbs1nR+hoc4eBKRlWHNMdr1njeU5U1NF9LrU6x24o/KM2EBJRjEn\nR5FTCwQ550MAn51SWgXwm2mwNruXRrF0HnrooabSuHmGSkThogYj+ak6CPk96qWA9kq/0X6FupqR\np19ykinT8PuUgjubYN6cpfQxC7gCsUc9Akc3JNHnOugwetLzUzpKplNEw10JayDgVN87hFJda/l4\n2XModGoa1GXULc8up5T+CMCXo7zY4hE5f/48728aI4UVpA5Fp48qNWTvopaRAkSHK6Erv/7W/Htv\nTg99xC4cpKL7HQhUZmZmWnMgeGieyTq4ZRvBgffTp+BlWlL4yKHK713sKzIT9LoSo9MyLpVFTbjU\nGvM6id2QT+uowW0A9nLOl1JKiwD+GQYboL4OPXdDriF7qYH0AQVPp08D8Z43YgQ1b31Elz1NV2ZN\n00HMgcRZQZQPPo9AwHUEybQIAlxWndGPGpKs2585KERmQ+nwd6qZBaV6d4bQxzTpU8+eh0nJaWUE\n/wWAlw39BDMAfi3n/LsppfvRczfkku0XUf9aDxHZfGy4ChoM/NGhOQBHlFVtbLe1+4KBmgMKLKos\nmramq++vYFKi3TUw4J4E6u3XNRTUaajrEDLfkeMyAqYSGETSV/ncTOh7vUrJDPQ2Mwk5DhCklB6H\nwbB7BpAAfAqAHwdwAcB34iqzvi8PFyNNN8Lehznn/wTgScH53rshlwquVGG8JwIDXhMBgablIJBS\najkFa9uZ12x0H0d3Tz+XO1OH4M7OzpGtxx0EI/bQBUYKBlxiTUcNtre3Wyst8WDoNPO0v7+Ps2fP\nNmXorKE0sqLlpCZfxBJGkYg91EyPWjrun5iEHAcIcs7vAfDZw/zMYLBD0W9ioOgvzDm/UK9PKT0B\nN8veh5F4b6jnKSWKGAGB3uNp8brIFFAQqDkMFQSiGYM6nEcFo1KqQ4/K4+9assH1vaIoRuZVNzPl\nNcyHsgLOJzh79myzqzJXJHbTIBpe1XfQg07IY/aWR3wH2k7GTfsGNg2+BMDf5Jw/OMxflMmvws2y\n92FJaoxAz5fMA+05XTHZCypgOBPgqry6Oq8CgaZFcWagSq1sgzMBDw4OjpgFUaOMTANe7yDgMQhu\nIvA6XX5cw4l9KNPjIRwMHAT4/eDgoAVsTL+LDfTt3R0ESte5j0Hr7UYzDUy+AcAr5ff3pZS+FYO9\nEH84DyJ1b569DyOvch/HXwQKzgQcCKJGxkatyqKHgoM2eE+H6TtF1+ewd6ayac/qDMOBMGIF+kyd\nB6DMREGIQJBzbjkR9X4+tzTxienVRlbcRGA+FRS0ro+rPKMqsbeVcdIoSe1dPvKRj+DBBx/sk7+z\nGOx0zCC8lwB4Xs45p5R+CsDPAfiO4+e2n5z4NOQ+DSJSZkf2aPgqSlt7WWUCCgD6O2rcDjLuK2C+\nFGw0pj8aktT03E/glBvAkV5ce3I+mwDEdHVnIg4dlvwOXtYlx6qaUjoSEZlwfdiA16+eK8mo/oFJ\nmwa14cM77rgDd9xxR/P7L/7iL0qXfgWAt+ScPwYA/BzKLwL4neH3E9n7MN7OdsKiiluqmFqP7izA\nQaBEA71n0228VElKDsNSPkv+gdJQpFL8CEQ0z5EjTp8bTf7RfPDZEevpejcvZ30nLR9NK3rXqE4i\nf0/JBxS1A81f1C68gygdk5C+79LR6X0TxCxIg1gcytdgsH06MBim/8aU0lxK6bG4uvfhgwAupZTu\nSYMXeyoqQ/hdckOYBqUCi6izV7inGdm5vm2XHty8JAomovJG6eszIkVR+q33Khiof0FBQFmMPs9D\nlWtgkHNuMR6ODHBRk2hkRPOijEDfy7c8o58ger9SPY9i70fXKRjUTMio3UxCJmDmLGHgKPwuOf2C\nlNLdAA4xmM373cNn3Tx7H5YqswYGfUCgxix4n3rVHQR4aC+u6UYgUGMDCgaq7Nqw3fOvYBCN2as3\n3u8vAQHNGh8iPXv2LPb29orOy4h5RSMsTGt/fz98X4/jKIFBqW2MCgaR3MhAkAeT+G63c0+tXH9z\n7H0IxH6CSNn8nN9bus6VlI1cx9h5LC4utnb51V44Ss8daUr1maZuj6bOOd1HoOScY34JKEqx1bkX\ngUFERUv0vovGe5n7yIGPunCtAgUC9WlEw4pR/bpESl47V0vnRgSCG1Gu296H2ri7JLrGG5gqgjZy\njq8vLCxgcXERS0tLDRBQaZ0FqIJFva7a2J4uAYH2fM0/4Pklc1GwqcUTROlFgBjFBUTzH6J6qgGB\nsgsOl7JetI68vvv24rX/u2RSSh/JFAgmKG7f9S3cvr4FNnbS/4WFhZbSagyBpsUw3EhhXTFmZ2ex\nuLjYpMlnMLBnb2/vyBh7qfdWZSv5QhRM+gCC+x4iR2RN6dxccT+IgoECQVRPESP0Z+n3a6nIx5Up\nEFxDKdmK/tsBRD/ZsNVJtri4iOXlZSwvL2Npaak5tFFrkE4JmLSH1l5xaWmpSZ8myNzcHPb29sLY\nAX9npeBUOlcM3huBgObdgYv59h69Lytw00DLdW9v78hQIsOVXZG7FDui8McFgpKZOQk5lbMPJyET\ncK4cqVhXFu251G5fXl7GysoKVlZWWhRee0W143U1H4p793XEQUFGAUJ3T641bLfF1U/hIOJeeQcD\n3VvBy8XjG9QvUvLf6P28lyDAz2ii1jg9/CSBIOowJgkIU0ZwncSddhSntxpzT4U/d+4cVlZWcO7c\nuYbGc346RX0DkdMMQEtxaAIQaHh4AE40POdpq7LxM2JCDgIKBr6kuqetYc86khH5IDx/+j4OAjqc\nGO2r6HnR99HfpbH/SGpKWDJHJq24UyAYU45TcLV7VYl0ZECVU4FARw68V+W8AKan4/w551YAjQKB\nOh09KrCvU6tmFnUxAF1hWNcbUDNmfn6+pfh8LoAjPbmXLTAYhuQ5f97u7m4Tp0DwUyehpld7575s\noI8J6f9N2t8wBYIxJbLVSvZ/6benB6BFeekIVBZAAOCn9mC6VLeaCd4jR848VX6N2huV1kbXuZ3v\ntn8JDKigwNGh05xzq6xYvpGvxR2jbn7pXgzRzkgsP48lcAYQlUPE0rrKzs2AiBVMGgymQDCm1EBA\nG702wi7RHo+jAktLS43Sr66uYnV1tQGElZWVli3LdeyoJB5LoIrggTXKLNRh5vkrNeZSr1aj/z5C\nEDECMhrg6ozEnHPLPNDZiT5Uqr8V0NTPoPft7u5ifn4eOzs7re3h3PzoqtPoui4QiPwaJyVTIDim\nON31o4s+Au1xcXcKnjt3DufOncPa2hpWV1extrbWePWXlpZa6Wigjj6TgECaqwChvap73D2UONoY\nxN/Ve/noWh0R0JBeZwN8FoGM70BmoCxIRxp8ElNKKaT2EVgrEGlaWi6ero9qKOh00f6S/6Z0z6RN\ngihPN4ucGBBEIOATb4Bu77F6qdUpuLKy0ig/P9fW1lr2vCoA86LRcMoC1BzwSDz+ZhqqYHw30mUF\nA1cCzYMqtqajiuaKq/sU6jP0PUjVdW5ABCJUVA19jnwKWk7+XnwXLR8FiwgMaoxB20yJ4uv9fdnX\ncWU6fHhMKTGBSCIwYMOmra8BQgoEeqgdr7v7Mj865KZecg/NLQEUlVNXCj48PGztIuzrB5QcgXqt\nMgLtaamAqsQOBMBRT7zmTe/Tpb6VJUWOT/2kCRCZMAQBD7HWvDjDqLUZfnb5jE5KpoxgTCkBQIkN\neCPWBuhj+LT/6RNYXV1tHIQc0mOvTkWh0lBZvSeMJutE70EQYM+tjGNrawvb29vY3t5u9dqRTa49\n/d7eXus/p96Me6BN7luYK5Bo+Wn5Rj24O/UcCHhoug5aFDWbdnd3m+/6Hvr8qL3476jH72sqTFpO\nJRCklD4Zg/XQ7sBgiuQv5px/IY2wCWoUCx9RQwcB74FoDugYPv0CDgTLy8tYXFxsAQpBQBWIG4Iw\nT7StdVRAHWxsyFQCsgugTYM3NjawubmJ7e3txpmmQEDRnp8KrmWkvb0yESo+30VNEeaN5VrqfbWc\n3QRQJqCmkfsI3IZn+fGe7e3tJh3mTduElgM/I6WPzpd8ASUzYVJyKoEAg7XRfijn/PaU0gqAt6SU\nXg/g29BzE9QuNhApviqwB7VwhICMQH0Dq6urjXNwcXHxiHecva4qkD/bRwbm5+dbCrm7uxs625Sy\nb25uYmtrC1tbW0UgcGahQMD/3cbmeX8HHppPoL3LkooCsIc2OxtT3wjTpO+B9ePXOxvx8G03Eby9\nlNqR/y6BwLUEg1MJBHmwEsqDw+/rKaV3YbAsUu9NUCP6SImYgP+vw4ScO7CystL4Ac6fP98yCRjo\nE3nKI9vaG67G5RMIGEevShkxDB4bGxstVqBKWjIPCATDsgaA1j3cuoxDdzs7O435wUNNJ5pDOrZf\nGjGIWBrzoazF/SlcBl0dlSVQ0LBr3Z+xy19QOq+jG95uojQnpcCnEghUUkp3AbgbwP0Aem+C6kwg\n6nW88Q2fBwBHQocdBMgGVlZWmpmFc3NzoV8gGnuPekdf2kxjDRjBB6AJqqEJsLOzg93d3QYEeCgY\neIAQaTaBRhtaNOowMzPTAAFZx9bWFjY3N4sLserIg8clOEOJ6o35dCandVMCAh4ckgXQxHI4Y6uJ\n582fVWp3fu9x5VQDwdAseDUGO62sp5S8NIql43TYFY+f0TXAVQceTQLGCigY0DnoMf/ac0fj7mQE\nfKYCgfeu7gBTRkDnoH4SBNQ80AhANw1otqj4OL/mgc/RZ+kMQS2HqPd3ZYqkZlIAaJWxmwkevuxm\nCh2VUUxHSTTfWmdqeqhDVO+ZlAKf2uHDlNIZDEDg5TlnLpDYexPUy5cvN985dddpI4WgoY4qNQno\nGCQTIBtgeLEuNEKJehxVeF9ww6frMkJPzQimSUagCqm9dM1P4D2u2vaU6Hpg4CykaUAQ2NjYKC49\nrmYBy4TloHWhZablVgMOnmd0JZWSoKDOXgcSjelQH4K1v5C9aBoK5pp/mkxTRlCXvozg3wF4Z875\nxXKu9yaoKysrrQbgnmqgraxsHKSdHCGgU/DChQu4cOFCa5RAFyKNlMxtW52RFw0XqhK5CeN2vSok\nfQPaW9Nk8OG9EhioRBQeQMs04HMXFhZa+db3KflpdG6F1pEP9TEfXo8KCgSD+fn5I1GZNAu819ZR\nBH/3SNw8iJyR/C/n3MSQ8PckdkM+LhCklNYA/BKAz8JgJO4ZAN6DwihcuhH2PkwpfS6AbwHwn1JK\nb8PABLgPAwDotQmqpBWaA64MOqbP2X4KBOfPn8eFCxeaocOVlZXW7ECl0q4AHjcP4Agj0OW6nblo\nj6MjEAoE6+vrLTNBnYgRPdf3joAgAg0ygtnZWWxtbWFjY6PlyyAQ6C7JqvDeq7tCawxDzZ+iCq/f\naVopq+Iz+A5kUxqE1EdUEUv31jqD48oE0nkxBor7dUO2vYyBTh0ZhUspfQZuhL0Pc85/AmC28Hev\nTVCBo+G7EXXndW4OKBNQk4CrDS0sLBwxM0rmABuoOrqURnNVY+1pqMR0BKq3PjIDNjc3m2t2dnZa\nPolo+DACQS2bqEEThMgKGPfgsyTVjtZhQlfcaB0ELceSWUEbn2stslw51KjORPcZME0Fnoi5KIDw\nd00ZI+CcpI/gOOmklFYB/NOc89OHae1jsD9BaRTuXtwsex+q8ivVBtoNTRvmwsJCEyNABnDrrbc2\nYLC6utpaE6BEs90kIE1U5qDedTZYNk56tqnU29vbzYiAjwwoGBAwPOag1CA1z14+0bV0fCobUVak\nMw/Pnj3blG1pqTI3eSIGpP+ro09nbCoDUFaiq0Jp+eqoDhmTdwzOZLxt1WSSAKBpHkMeC+DjKaWX\nAngiBvsc/iDKo3A3z96H2gN5BJs2MP6vfgE1BW655RZcuHChcRDqAqQ6KsB0tXdRIGAj5P/aQMkQ\ngKv2+d7eXovqd4EAhwppNrjvQ9+fouWgSqgN2YGOIwzb29sNi1EzJ6XULDtOAPB9HDQv6qwssTY3\nFdTr7+Cjy7oTONT5SiAjCPC8+xE0j56nmkwaACi1UYOLFy/i4sWLtdvPAHgSgO/NOb85pfQiDHr+\n3qNw10JOnBFE3maCA6MG5+fnGwCg8hMANHxYezWPX1dF5zNop5IGayNTXwB7KD10iO7SpUvNceXK\nlQYU6BhkvECN6uqnlode53l0gNBRC4by+vZmuqAqlVVDp1V8NqKPJGieVWEVqIC2k1fz7k5ajZvg\nezDNCDyBq7tmsQwih6Xm71qAQS1Nmq2UBx54wC/5EIAP5pzfPPz9GgyAoDQKdyJ7H544EABHGw57\nY10DkCCg5sDa2loTNKTLb1GowK587qCs5VNZgIbu0gm4sbGBy5cvt4BgfX29Na8g8gcwff1UcTtW\nFc3LUJUFuBrUNDMz0zIRaJtzaBVo2+xUVIpOa56dnW2WY/cwYwWIyJbXOAydNq5AoDEdjMXY2dlp\njSbw/SIzISrXqIy7TIdx5DjgMlT0D6aUHpdzfg+ALwbwV8Pj6Tg6Cvc6AK8YModH4+rehzmldCml\ndA+AN2Gw9+EvjJuv67blGRu9NjBdV0CB4JZbbmn8ArpBiTvQoqg5Pt8dlU4/eVAR9vb2WnSfCn/l\nyhVcuXIFly9fxuXLl1uhxMoGSl5qf7YDmZoyPOf36n+k1TynbIAgQPoNoDVfg5OyKKTnEQCwjrzX\njt6TpoFP3NJITZ1boaYXQUD9BdqGSuXibetGBYKh/AAGyn0WwPswmLczi2AULt9Mex+6aGPW3YgJ\nAGoSnD9/vmUOsJdRBa6FzTobUFbgtjGZAD3xZAEKAAQEHuoX0MhBp/nKRLqYQa2xM//6H5UqpYTt\n7e3GGecTpxYWFrC1tdViBarokQmjIODrNGi5+c7SBCQqPleOponG2AqCJ4FA2RjLwBXP2RLzGimo\nD1FPQo6bTs75LwD8k+CvcBQu3yx7H2pFKAvg6AB7J/cJ0BzgUuQMGNJQ1VrMgNrTQDuKTsWDg+gM\nZK9PBsBPdRLqkGJtAk9XD1ViD/oZKQCfRVtbhz7VX+DzJggEOr6vfhQFAZ7XKEyNifCgLL+Wz2Ud\nnD17tjGjPAZDfR7qPC2Vy7VyCNbkejzzWst1YQQa1MNhwpWVlWZkgEfkF1BF1vFtBwOKM4FS7+fh\nwuvr67h8+XLjBVZQ0BEEtavVTOGz+elmwDgSgQDzzmdvb28356iUdCKyZ1bzgPXBTy8nggBZh25+\nqhO4XPk9NoN1R2AgCNAEIxAQBBjwFc1DiICgyzk4SdCYAsGYwsali4uwceiCIsoGOJvQzQHgasP3\nCTluDvB75Bug4hwcHLRChNnrEwAuXryIhx9+uDEP1tfXj7AAj1nwdy8BQc3O9TS6RJnBzs5OAwQE\nPY3zVx8GHYlR7AAdf/oeCuJa9m46ePkD7QVVOYFse3u7tQ8FQVY3knU/ipZJyYHo5RexqXGlNnz4\nSJUTBQLdg4BRgTqVWE2Cc+fONSxAG7Tbxg4ErPCSc1DvVacg/QERCFy8eLE1j0BDhp0F8H37lkvJ\nGVhiECW/Aj81QIdl5vH8upIR2Rh7dfbmOjTn8y2o+OqfUQbh5puHjaeUjuxLyYN1wdgQXXa+j5R8\nAVNGUJcTAwIdOuLowMrKShMsRAAgKNA5qHYs0A4UioAgssnVV6ANk04pNj6ygUuXLjUAcPHiRVy6\ndKk1s9Cn9Op7jtrrjNJAa2nz/ek0JEgpQ1AQUOco2YCGJPN5Om4fzQ1R8OWhjEDLXMGZpomCwMrK\nSjN5an5+vrWRLNPqK9dSWadAMKbouDV3ImLgBUGAk4jUH8CehcridnjkF4h6UzUpyAR0noDGBTz8\n8MMNCFy+fLmJHfChQR3b1uc4te7q4aPr9JxKiXWofawHwYDsAEArhFfDeg8PDxuWRocuqX7J+VrK\nk5c3FVrTJGD40nO6zBwZm/oL3BEbgVJE3SepvFMgGFN0dSGGDTsLuHDhQvP/4uJiaxsxVXoFgq54\nAYo2EFJ6NQcuXbrU9P4PPfRQAwb8f2trqzV7kBKxD//sYgglh2KkdCX2oDawKgRBS/ctYMizB/Tw\nP76frt4c5a1kc2u++QzWCU0OHcXRoCffvp5DuXRQqpKrOeQgcK0VdQoEY4rOHSAb4CQi9RHoZiTs\nPYD6LD2ei2IF2PgVOHR4ij4BZQLKCNQcoPLocJYrR/Tp31Vq7MHv7Wp87jRzkCQI6rt40A5BgA5d\nftdIwtq7e170OVpX/B4Bge5MxXrSdRFVSiBQcxpOQqZAMKb4MmMcJdC5A0tLS00vpOaAxwc46mvl\n6nwB7Zk0RoDKTQBQh2DJHPAItxLlH6Wh9QEBStT76XlPU+15Xscw3sPDQ2xsbDT/+3Asy9FNBN/f\nMWIIUX5Ly5Dps3w9yo2NDayurjagzfBp3udK779rsQeTkCkQjCmK+FxRSFcd5poCvs6gV7ICABsp\n0A4UIosArjZQ2pqcQqyjA84ECAJbW1tHVi3ms1TZ+JyaPe9S8yu4uOJHNrCbRtG1VMqcczNBKeer\nMy81P5zEldLVtSH43csgyq+K2vbObnhOw6HJGjlngw5drUtfNanGCvqYZ6PKdPhwTFEPsW9GoouL\naKUptdTwYRcd5/aoQTYI9oYaK6BsQBmBTivW5zsA6Cefz2fyd42mRlJrsH2or5YDcLXB+iiLhvKq\nY8/v5ygPlVWVuSuvFD7bAUoBkE5DmgW6qhPjNQgCDD12AJiaBseTEzMNNLJNJ6Nwnrw2SKXzPr04\n6kHdHFDgUHOAAKAOwYcffriJGIzMAXfWdfkASg49oO3d72IQJWdYxAi67PeIYTG2YHNzswFTnSlI\n5fet1Tk06GHafRWQz3cWQjDg0LJGbGpMBAPAgKs+DTXdFGiulUyBYNyHSMy5TkzxRqV0T0NY+Z/a\ntNo7a8/Ma3kv5w4QBB5++GE89NBDDRhcvHixNZW4NDrQRd8j2uvX6LWRfe/3RiDgCqe9q+dVTScF\nWODq6shbW1sNeOrag6r4qqiapr+fsgr34Wj5OBjwWTnnZthQGQw7AL2PDKG05oODwdRHUJcTYwS6\n3r6CgbMBXWlI98pTiWxsBQP1VnvosAPBww8/3FpxyEcHxgEB/a90vsYIagBQSlPLJco334v3slzV\nTFBQ1WXGtLfWVY0cfPkc/u8gFV2rQ4spJSwuLjaA7+Yg65T5Z6CUl9m1likQjCkaSFIb51dGUArb\n9WmxOomI99EfsL29fcQfwE9dVESDhSJHU8nrrbQ7AoNaL+V2soorfJROJA4SnrfI807/Sc652SBF\nJwfpEmcc1tUFYAnCfI6PVpTMKf2tQM4NZ1NKLUet1q+aCR4opSZk9JxJyKkEgpTSLwP45wA+mnP+\nR8NzvXdCBtrDehGN10bpnuDh85p7feFNjxc4PDxsTWslCLhfgGsL6NwBX68v6llLih31jvrdlSNK\nQ8WBwNONrqWUfCmsC71e5yboHAEFAo0MJVPgM3RpeA9BdtH6j/waAJrl07gWIr97e/BAKYZK6whP\nZDJNQk4lEAB4KYB/hcFyyZRno+dOyMDR3XRcsVSJS2wgsl3dP6Dhwzp3IPILcGGRjY2N4uhArcf2\n732u0d+RHc3vfXp/l9p1kdJpmanCAVenMOviIowDYUyI+hT42WXGlBRTh2H5m1GN6rBUk0JNA0Yg\navThtQIBPv9mkz77GvxxSulOO917J2SgPGMuUnaK0n2PU6d3m+nQk8yhJp07oExAFxvlSsOlYCFn\nLnxWpZyK//n/ruy181HZle4v5SOiyu4/ULs7pdRsmKI7QvuaArTlad/7EKEfkWkQAS7rmgqn3xVw\n2Db4Dgw+KpXDpOS0MoJIPin33AmZUnN8ufI5dY7MAQa9sDfXYUINGSYTeOihhxog4MpCpJOeh1GH\nx0aVLlCo2dJu/0dplvLpYECHnFPtnHOzj+LMzExr3UF1IgJo/Ae+UYoqq35G7xSBL68l8Kgp4uBC\nENva2gLQnljVZVaNI5NIK6U0A+AtGKxofG9K6bkAvhNXVy++Lw/XIEw3wpZnPaV3ydSAgJWsQUIA\nWkCgDYcNgD0ZzQECwSc+8Ql84hOfaFiBDhPq0FMUoRj5BKLfXdJFSSMQcN9DyXQYFwy896aov4Bh\nyABaIz1qKhAE2DPrBjI8CNZ8liqwvqP7kNgeOOEopdQMQ7vZwY5A/QUaYzBpmRCoPAuDlYtX5dwL\nc84v1ItSSk/AjbDlWUF674QMAO94xzuaqLEnPvGJuOeee474Apwe6m9lAtrD6NZjDBm+dOnSEQC4\ndOlSM4tQzQFnACUWENm7fcQVtY+dWgKBUWzcEiB4Gm7XM78aiTkzM4PLly83jkQ10ZS6MzLUFzHR\n53osA/MXmQ6alj9LwUWHitk+dOEYsr9JynGBIKX0yQCeAuCnAfyQ/hVc/lW4gbY8S5bJ3jshA8AT\nnvAE3H777bjttttw++23F9cR8B45ctyxoSoL2NjYaI0MPPTQQw0QcK3B9fX1Zo08NQd8sU6glm1q\nIAAAEYFJREFUXyDPKNJXiSM7mvcrQ4l8F/6/g0EJlPjeCnRkWlz/kNRf64i9L8uQ/gIONxIw/Fnq\n1fdnalsA0AJnTZ9ATvOQUYgAWn6Ow8PDxrfBtK9cudKrLmoyAUbwIgA/AmDNzn9fSulbMdgG7Yfz\nYCTuxtjyLKX0qwC+AMCtKaW/BfBcAD8D4DdSz52Q2Quod760zmDkC1DhfWyonElIICAA8FM3JmGj\nUTYQAQ3zPAkgcKp/XCmlUzIXov/1U8tXe2wqlo/Ve3lpxCGVVIOSPM/KCKKy1mudrdFxyf90UVWG\nIzOSVN/huEBeKstxJKX0lRgMxb89pfQF8tdLADwv55xTSj8F4OcAfMexMjqC9Bk1+ObCX713QtaN\nLHRz0J2dnVZF+5g0GxQrkTECPHRdQZoDH//4x1tTinktI9KAeAahvXMrlsEbbnS9S60HL107qnQ1\nyOh/Ddd1VhBdq8wr53xkTwmKAizXlNDr1AzR9Q5VSWtzKNRU4JTlnHNrkhg7hqWlpca8cXNyElJL\nh+2tIp8L4N6U0lMALAI4l1L6lZzzU+WaXwTwO8PvN8+WZzqdlJtasMC8d+Eimtpja8y5bj6qQ4ME\nATUHrly5EgYLuelRYwFdnueaMtaofk2uRc/FvETsJ/LN8B4qFHCVHdB00DJSIFheXm4U3pmXAgLQ\nniFZKhfNGxkIzYOVlZVmu7nNzc0mPoTh5brU2kkwApoilEuX2nF2Oef7ANw3fJ/Px8AEeGpK6VE5\n5weHl30NgHcMv988W57RQ89xXt3lJhoO9IAQnXegy4qrGaDf6TdgsBCPyM6lQkSebe+xIqmd94Y9\nCkuYlHSBQeQroH3NMuCy7QxFZl2qycden/4C3XlZy5ziw4klM0wBhIfGMHDdyZ2dnaZtcJl0X+Tm\nRjANKvKClNLdAA4xiNb97uGzbp4tz3Rvu/X19dacA2UIukGG309Hn247ps5BmgPcgISRZkC9NwTQ\nAguPbuxrX/r/ka0e9Xr623tlt61LzysxGj3nz3QF8zxojAFw1TdD2utTg7XcdGSG0851Z+RoeXRn\nXj53wOMUmI4udcZFT5eWlrC5udkERClrmYRMEFDeAOANw+9PrVx3c2x5pouC6FLXh4eHzX583IFH\nQ0qBQaHrrsS6B6FOJFKAUHMgcghStKHVwpxLylSTWmOpORBLefV0o8+aiVN6BkWH+tyRqOlsb2+3\n1iHUJdBowunIDJcpJ1tQZ7CWtYOJ1gtNAvUtMK8a18Aw6MXFxQaAdAv2SbGwa8QIrqucGBDQm6uh\nw/v7+60eQwOHlJqrKaH7EF66dKkJJ9b9CLVBATgSiESpAUEfk6BPwyrdHzGDEm33dGq9fg0Qomf5\nOc+bR3Cyx+f+Dvrd1w/g+L8vd8b6VX+DviMZAf1Dar7pu5Ah6O7OZAQLCwtNIJR2CJOQKRCMKWww\nVEj1Rnv4qsaZR0CgOxTroSsLUTwmAbhaiT4q4KGwrlBAPHlHPykl9lDq5fmfs5dofD8yETyffn30\nv19H5fXRg8ik4vXcqFSXLHdKT7YAoLUgqteLPsO3lVcTJQJQ3TyHK2Hp7sy6r8IkZAoEYwqVHri6\nuATnBug2W+oQ0t6ZSr67u9vq+eko0oVG2VO7p1oddV3K38cvoGl20Xheo1JiAJEjk2lxWDUayagp\ne+1/HQqL3kcBKYrsJMgT4Kn4airwXvbuvkmqA40OcfJ3tGKUgonvvuxh0WqSHlcmNQx5I8mJMgIG\neXDTCrUZ3YGkNqP6CDSOQEchgKtKXlOqyBwYBQCAshJ3gUHNVvfgGU1P86SNsKTc44KB+wYcDHiv\nmgEaxUczQYGAIMBFULnSkQYdOQNSx576BCjaWfC3MwIFg52dnSkj6JATAQKtXDYQ0smIIgJtT77G\njnP0gCsKlXoKZwGaZgkI9NrIHKgprdP6CABK5kYEJhGw6PM1bU3TWUQJ5Nz/4GxD38vzqgqrJgDP\n08wD2uaZzvFYWlo6MoqikaUc+iMg8L/I+VtiVSVgPa5MgWBM8UZDD26tB3WPsu4xoNt0sWEBZaXS\n9BwENH5AP12iRuah0A5A/l5ukpRMB30ffz8f6usyE0pAEIEHFdPtcc+n5oPKrbH+pPs+r4CgTQVP\nKR0ZSdBRo5Jy1+pbAaxPvYwjUyA4hkTDcU7LSw68aGjJe7bSMKErQWl0oI9oY/PFUny1Hs2bvpt6\n4DVfDlyujHxHdeo564h+R++v1/inMpoovsDNBH4y1l97f/oO9FoqOnB1ByzOVdA4AS3vqH69Trx+\npoxgNDkxRqDf3UkXOe4cFFxhIibA7/rMUpoqek+NjvuhqyX54b06n6+rNOuQnPfWpOpR/lQRfaxf\nyzkCAXf46bWaV7XBvWwViHRnKaalMwDn5+ePmAlAey8CDvtxBWN/T69nLydf9do3d3XmeFyZAsEx\npNZD1cbwI1qqv/nplRM9x89FDSPqbSKTQA8NhPLVmlXxqCTsOX3PBlVQp7olk0ffVz+9DLR81aTw\n6yk+ZOeK6aCg6dGJeHh42PT+aia4cq6srLTMBve7lPxHERDQl+RgMEnlnY4aTFBqQFCquJpC1ICm\nBCyl9KPnRWzAwUAPvVbz4faq9srqs/DnKssoUd0aI1B/C/+P2JOLmyIOAAoEHlSkk5V0ZEffkQuN\n8LvugcF3jUTfTaci6xGxrUnIlBGMKSWlBI4qG8+VgEA/NX1/Vul5UVqRORDlLRopKPkmItBy5fRe\nkg1a86CrAUWrN9d8BV4W+jyKm11enlE5l0yyyH+gQ4yXL19ubZDC6zgUvLe314QK06QgCKqwx9/b\n22sCzBhezslmnG/iW79PQqZAMKaUeuWo8bgNSCnR4ajROwioRGDSda7LAVVzREW+Cx7ayxMY6H3n\nPezJ1QnprKRWDqqQTM/Lz8FE31uvLZWNlpGbOBpDwlgCNTsODw8bhd3f38fy8jKWl5ebpdOjSWga\nV+KRppymzmXpmO4k6fwUCMaUGjVXuqvX6r0lEIicbF1MgM+MejPNj5+vAUCJqUQKo/niOnvA1UVA\nFAgANAu15JxbvWm0rLsDoZ6nAnoIsLMBz3skkYmg9afmgZoJKV0dTeDzGRPC6zhr9PDwsAkM8jrk\nbFVdqq7ECHQj3UnJFAjGlOPaaSXaGtnAJaDxxlui8X5fZJfrtXx2Sqm1wQaVwGMNnF7X7HOWHdPW\nCT3eC3t56XtEplQJAGommV8XgYeCnW5MQuDjNGZlB8ocdOEZmgmcwkzRhW24fwV3tOJCtVy0VOct\n1MBtFJkCwZjiQTsq3qP7f7XvEQ0elQV09ew1sNA86Fr6MzMzDQiQ1nvPXXrPqHy6Fnv1Ht7fAWgD\nWa2caoDt9eSAoukzD8pAuM6kr3REJsQZqqT2Oqyo76Rh5px9ynUrOTOVi5WoWTAFgrKcqGlQ+i/6\nXbu+CwhUalS/BgYuJaBQRuDDfgQDjZSLbNW+iukU1+3ykjLyk3mInlcrw9q56Dk6f0ABiqyGpgEZ\nAueLcIMarj+4tLTUHPpuBIGtra1mWTpdni7a2Nbr7TgyHT6csNR6mFKvPkqPGilvpPjRcJwqk94P\nHG0IUQOjSdBln47au0RlpOaI2uWR+aBMQr3xtbIvOXv5XH53x6U+330W6h/RICOdmUoQWFxcbNUT\n7X9dnozmAP0DdBJGYHVcmTICk5TSlwP4eQAzAH455/yzlWs7FaLPcF8EGtEzSgCg3/uYBvpM/V7q\n2flJ+us2fNRrjyqulO6l52ft+To+70ocva8rPX9HEYgqDkZqJgBXdyKi45AgsLGx0Vp+TIFAV8LW\naelqMkSBRFMgKMvYQJAGe7f9awBfDODvALwppfTbOed3V+6pUkwHA71Pr++RtyO/+/oI+jjPFAz0\nf/fCqzddFULPjyI1Sh8xguj9+Vu9/NHIg/7mu3n9qUmiz1Fx80WBQJc14xRmmgdXrlxp/AMLCwut\nERudiarKr8FEnodJgQDfe1xJKc0DeCOAOQz079U5559MKV0A8GsA7sRg8dKvz4MNTpBu8L0P7wHw\n3pzzA8NMvQqD7ZmOAMHOzk4TR+49O4X/qS0bXafnI+VVBdvf32+80xEI+LP9u+cvkkgpd3Z2MD8/\n3zR8jbjj8yMKPWpjdQBdX19vnhv5E6KeWf/3vEWK72yGsw0jUFBxFqLvrKMG/M35CltbW80uzExj\nf38fH/vYx3Du3LkmnoCBQ9HIyo0EBDnnnZTSF+acN1NKswD+JKX0ewC+FsAf5pxfkFL6UQDPAfDs\nlNJn4Abe+xAYrLH+Qfn9IQzA4Yjs7Ow0Dh+gPkRV6lVKlVmr5IODg2atvK7GoEpZAgNep4oQ9ZB7\ne3stAPI4/xIz6ZLoWgWCjY2NZrFODxzysGZnXppmBAalfNIhqvnQvHr6mg99lg7zERQ03FiB4ODg\nAA8++GADGLoSEo++AV/jyHFNg5zz5vDrPAY6mDHoRD9/eP5lAP4IwLMB3IsbaO/DYwl3JQIQjgv/\n/+2dTWgdVRTHf/8iSqqoTWvShbT1AxRCwSCKkoVR/KgIru1CVHSnWBCkUReuXLgSFy7VRUFRBDUu\nxESCS7XSxARtoqBWkOTVLLS4KdoeF/fe5mZ4L3kveXdeSM4Phvdm3p353zsz78yZe8/MgfYMQbvl\nq+t1ciKsZwTyz2bf8z9EK0PQ7L69E3KDWnW5c61q3fPgpapHUK1Hbgyqzxm02jft9BWksnn9q15T\neslJ9RHvfN+lGIJ8G7nXkzTTrcZWMgRaSYl+E/BWvKIPmlkjbn9J0kAsvjVyH67BH8CBbL5lyqW+\nvj76+/uBtYcSm1E9OROtttGJN7EW7dSxlUHoJevt32aGCzrvh+mE6i1G9bd2yL2TZoakFSlkOZ0D\ny8vLnTegwmaHD83sIjAs6WrgY0lDBK9gVbFNiXTIZgzBSeBmSQeBReAx4GizgiktWS/odkrsXuqm\n8NmzZ1tnoU+eV510K3FIp1TTidXEGUKHXrs0Wv1gZuckfQUcARrJK5C0H0gHeWvnPjSzC5KeAyZY\nGT483aRc93wyx+kxZnZoM+tL2gf8a2Z/S+oDHiBkFx8HngReB54APo2r1JL7UFvFpXWcnYCkw4TO\nwF1x+sDMXpPUD3xIuMqfIQwf/hXXeQl4mpD7MB8+vJ3Vw4fHNlwvNwSO43TnRe9rIOmIpHlJP8Xx\n0VI6b0tqSJrNlu2RNCFpQdIXkq7psub1kqYk/SBpTtLzNeleIekbSdNR99U6dDP9XZJOSRqvS1fS\nb5K+j23+ti7dnUJRQ6CV6MOHgCHgqKRbC8m9G3VyxghBGrcAU4QgjW7yH/CCmQ0BdwPPxvYV1TWz\n88C9ZjYM3AY8HO8VS7c3cYyQpjtRh+5FYNTMhs0sxavU1d7tTz4E0+0JuAv4PJsfA44X1DsIzGbz\n88Bg/L4fmC/c3k+A++vUBXYD3wF31KFL6J2eBEaB8br2M/ArsLeyrNbju52n0rcGzaIPNxz0sAEG\nLAvSAAbWKb9hJB0iXJ2/JpycRXWjez4NLAGTFiLMiusCbwAvsnqcuw5dAyYlnZT0TI26O4KePobc\nA4r0jEq6CviI0KP7j6TiwSHWg6AUSY8ADTObkTS6VvW6qRsZMbNFSdcBE5IWmuh4z/cGKe0RtB19\nWIiGpEGASpBG15B0GcEInDCzNPZbXDdhZucIcemXglIK6o4Aj0r6BXgfuE/SCWCpdHvNbDF+/km4\nBbuTGvfzdqe0IbgUfSjpckL04XhBPcUpkYI0YHWQRjd5B/jRzN6sS1fSvtRDngWlnC6ta2Yvm9kB\nM7uRcCynzOxx4LOSupJ2R68LSVcCDwJz1HN8dwalOyEIV6oF4GdgrKDOe4T3IpwHfgeeAvYAX0b9\nCeDaLmuOABeAGWAaOBXb219Y93DUmgFmgVfi8qK6lTrcw0pnYen23pDt47l0HtXZ3u0+eUCR4zjl\nA4ocx9n6uCFwHMcNgeM4bggcx8ENgeM4uCFwHAc3BI7j4IbAcRzgfz4UdLodFRwEAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1b85400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PCtIBQ/xV1qATh+g+AU7fN6VUBw3pCEINGvK9Bby/qxJ3lUF8BDnRvI67D/PS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\n2QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f64f1bad2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_map(raw_data, variable, limits, filename):\n",
" lower, upper = limits\n",
" plt.title('Map for {}'.format(variable))\n",
" plt.imshow(raw_data.T, origin='lower', clim=(lower, upper), cmap=\"gray\")\n",
" plt.colorbar()\n",
" plt.show()\n",
"# plt.savefig(filename + \".png\")\n",
" plt.close()\n",
" \n",
"plot_map(fit.perfusion_fraction, \"f\", (0., 1.),\n",
" \"signal\")\n",
"plot_map(data[95:150, 95:170,z, 0], \"S at b = 0\", (3000, 15000),\n",
" \"data\")\n",
"plot_map(fit.S0_predicted, \"Measured_S0\", (3000, 15000),\n",
" \"data\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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